id	sid	tid	token	lemma	pos
cord-005350-19za0msu	1	1	key	key	ADJ
cord-005350-19za0msu	1	2	:	:	PUNCT
cord-005350-19za0msu	1	3	cord-005350	cord-005350	X
cord-005350-19za0msu	1	4	-	-	PUNCT
cord-005350-19za0msu	1	5	19za0msu	19za0msu	NUM
cord-005350-19za0msu	1	6	authors	author	NOUN
cord-005350-19za0msu	1	7	:	:	PUNCT
cord-005350-19za0msu	1	8	o’regan	o’regan	PROPN
cord-005350-19za0msu	1	9	,	,	PUNCT
cord-005350-19za0msu	1	10	suzanne	suzanne	PROPN
cord-005350-19za0msu	1	11	m.	m.	PROPN
cord-005350-19za0msu	1	12	;	;	PUNCT
cord-005350-19za0msu	1	13	drake	drake	NOUN
cord-005350-19za0msu	1	14	,	,	PUNCT
cord-005350-19za0msu	1	15	john	john	PROPN
cord-005350-19za0msu	1	16	m.	m.	PROPN
cord-005350-19za0msu	1	17	title	title	PROPN
cord-005350-19za0msu	1	18	:	:	PUNCT
cord-005350-19za0msu	1	19	theory	theory	NOUN
cord-005350-19za0msu	1	20	of	of	ADP
cord-005350-19za0msu	1	21	early	early	ADJ
cord-005350-19za0msu	1	22	warning	warning	NOUN
cord-005350-19za0msu	1	23	signals	signal	NOUN
cord-005350-19za0msu	1	24	of	of	ADP
cord-005350-19za0msu	1	25	disease	disease	PROPN
cord-005350-19za0msu	1	26	emergenceand	emergenceand	NOUN
cord-005350-19za0msu	1	27	leading	lead	VERB
cord-005350-19za0msu	1	28	indicators	indicator	NOUN
cord-005350-19za0msu	1	29	of	of	ADP
cord-005350-19za0msu	1	30	elimination	elimination	NOUN
cord-005350-19za0msu	1	31	date	date	NOUN
cord-005350-19za0msu	1	32	:	:	PUNCT
cord-005350-19za0msu	1	33	2013	2013	NUM
cord-005350-19za0msu	1	34	-	-	SYM
cord-005350-19za0msu	1	35	05	05	NUM
cord-005350-19za0msu	1	36	-	-	SYM
cord-005350-19za0msu	1	37	31	31	NUM
cord-005350-19za0msu	1	38	journal	journal	NOUN
cord-005350-19za0msu	1	39	:	:	PUNCT
cord-005350-19za0msu	1	40	theor	theor	PROPN
cord-005350-19za0msu	1	41	ecol	ecol	PROPN
cord-005350-19za0msu	1	42	doi	doi	PROPN
cord-005350-19za0msu	1	43	:	:	PUNCT
cord-005350-19za0msu	1	44	10.1007	10.1007	NUM
cord-005350-19za0msu	1	45	/	/	SYM
cord-005350-19za0msu	1	46	s12080	s12080	PROPN
cord-005350-19za0msu	1	47	-	-	PUNCT
cord-005350-19za0msu	1	48	013	013	NUM
cord-005350-19za0msu	1	49	-	-	NUM
cord-005350-19za0msu	1	50	0185	0185	NUM
cord-005350-19za0msu	1	51	-	-	SYM
cord-005350-19za0msu	1	52	5	5	NUM
cord-005350-19za0msu	1	53	sha	sha	NOUN
cord-005350-19za0msu	1	54	:	:	PUNCT
cord-005350-19za0msu	1	55	doc_id	doc_id	X
cord-005350-19za0msu	1	56	:	:	PUNCT
cord-005350-19za0msu	1	57	5350	5350	NUM
cord-005350-19za0msu	1	58	cord_uid	cord_uid	PROPN
cord-005350-19za0msu	1	59	:	:	PUNCT
cord-005350-19za0msu	1	60	19za0msu	19za0msu	NUM
cord-005350-19za0msu	1	61	anticipating	anticipate	VERB
cord-005350-19za0msu	1	62	infectious	infectious	ADJ
cord-005350-19za0msu	1	63	disease	disease	NOUN
cord-005350-19za0msu	1	64	emergence	emergence	NOUN
cord-005350-19za0msu	1	65	and	and	CCONJ
cord-005350-19za0msu	1	66	documenting	document	VERB
cord-005350-19za0msu	1	67	progress	progress	NOUN
cord-005350-19za0msu	1	68	in	in	ADP
cord-005350-19za0msu	1	69	disease	disease	NOUN
cord-005350-19za0msu	1	70	elimination	elimination	NOUN
cord-005350-19za0msu	1	71	are	be	AUX
cord-005350-19za0msu	1	72	important	important	ADJ
cord-005350-19za0msu	1	73	applications	application	NOUN
cord-005350-19za0msu	1	74	for	for	ADP
cord-005350-19za0msu	1	75	the	the	DET
cord-005350-19za0msu	1	76	theory	theory	NOUN
cord-005350-19za0msu	1	77	of	of	ADP
cord-005350-19za0msu	1	78	critical	critical	ADJ
cord-005350-19za0msu	1	79	transitions	transition	NOUN
cord-005350-19za0msu	1	80	.	.	PUNCT
cord-005350-19za0msu	2	1	a	a	DET
cord-005350-19za0msu	2	2	key	key	ADJ
cord-005350-19za0msu	2	3	problem	problem	NOUN
cord-005350-19za0msu	2	4	is	be	AUX
cord-005350-19za0msu	2	5	the	the	DET
cord-005350-19za0msu	2	6	development	development	NOUN
cord-005350-19za0msu	2	7	of	of	ADP
cord-005350-19za0msu	2	8	theory	theory	NOUN
cord-005350-19za0msu	2	9	relating	relate	VERB
cord-005350-19za0msu	2	10	the	the	DET
cord-005350-19za0msu	2	11	dynamical	dynamical	ADJ
cord-005350-19za0msu	2	12	processes	process	NOUN
cord-005350-19za0msu	2	13	of	of	ADP
cord-005350-19za0msu	2	14	transmission	transmission	NOUN
cord-005350-19za0msu	2	15	to	to	ADP
cord-005350-19za0msu	2	16	observable	observable	ADJ
cord-005350-19za0msu	2	17	phenomena	phenomena	NOUN
cord-005350-19za0msu	2	18	.	.	PUNCT
cord-005350-19za0msu	3	1	in	in	ADP
cord-005350-19za0msu	3	2	this	this	DET
cord-005350-19za0msu	3	3	paper	paper	NOUN
cord-005350-19za0msu	3	4	,	,	PUNCT
cord-005350-19za0msu	3	5	we	we	PRON
cord-005350-19za0msu	3	6	consider	consider	VERB
cord-005350-19za0msu	3	7	compartmental	compartmental	NOUN
cord-005350-19za0msu	3	8	susceptible	susceptible	ADJ
cord-005350-19za0msu	3	9	–	–	PUNCT
cord-005350-19za0msu	3	10	infectious	infectious	ADJ
cord-005350-19za0msu	3	11	–	–	PUNCT
cord-005350-19za0msu	3	12	susceptible	susceptible	ADJ
cord-005350-19za0msu	3	13	(	(	PUNCT
cord-005350-19za0msu	3	14	sis	sis	NOUN
cord-005350-19za0msu	3	15	)	)	PUNCT
cord-005350-19za0msu	3	16	and	and	CCONJ
cord-005350-19za0msu	3	17	susceptible	susceptible	ADJ
cord-005350-19za0msu	3	18	–	–	PUNCT
cord-005350-19za0msu	3	19	infectious	infectious	ADJ
cord-005350-19za0msu	3	20	–	–	PUNCT
cord-005350-19za0msu	3	21	recovered	recover	VERB
cord-005350-19za0msu	3	22	(	(	PUNCT
cord-005350-19za0msu	3	23	sir	sir	PROPN
cord-005350-19za0msu	3	24	)	)	PUNCT
cord-005350-19za0msu	3	25	models	model	NOUN
cord-005350-19za0msu	3	26	that	that	PRON
cord-005350-19za0msu	3	27	are	be	AUX
cord-005350-19za0msu	3	28	slowly	slowly	ADV
cord-005350-19za0msu	3	29	forced	force	VERB
cord-005350-19za0msu	3	30	through	through	ADP
cord-005350-19za0msu	3	31	a	a	DET
cord-005350-19za0msu	3	32	critical	critical	ADJ
cord-005350-19za0msu	3	33	transition	transition	NOUN
cord-005350-19za0msu	3	34	.	.	PUNCT
cord-005350-19za0msu	4	1	we	we	PRON
cord-005350-19za0msu	4	2	derive	derive	VERB
cord-005350-19za0msu	4	3	expressions	expression	NOUN
cord-005350-19za0msu	4	4	for	for	ADP
cord-005350-19za0msu	4	5	the	the	DET
cord-005350-19za0msu	4	6	behavior	behavior	NOUN
cord-005350-19za0msu	4	7	of	of	ADP
cord-005350-19za0msu	4	8	several	several	ADJ
cord-005350-19za0msu	4	9	candidate	candidate	NOUN
cord-005350-19za0msu	4	10	indicators	indicator	NOUN
cord-005350-19za0msu	4	11	,	,	PUNCT
cord-005350-19za0msu	4	12	including	include	VERB
cord-005350-19za0msu	4	13	the	the	DET
cord-005350-19za0msu	4	14	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	4	15	coefficient	coefficient	NOUN
cord-005350-19za0msu	4	16	,	,	PUNCT
cord-005350-19za0msu	4	17	variance	variance	NOUN
cord-005350-19za0msu	4	18	,	,	PUNCT
cord-005350-19za0msu	4	19	coefficient	coefficient	NOUN
cord-005350-19za0msu	4	20	of	of	ADP
cord-005350-19za0msu	4	21	variation	variation	NOUN
cord-005350-19za0msu	4	22	,	,	PUNCT
cord-005350-19za0msu	4	23	and	and	CCONJ
cord-005350-19za0msu	4	24	power	power	PROPN
cord-005350-19za0msu	4	25	spectra	spectra	PROPN
cord-005350-19za0msu	4	26	of	of	ADP
cord-005350-19za0msu	4	27	sis	sis	PROPN
cord-005350-19za0msu	4	28	and	and	CCONJ
cord-005350-19za0msu	4	29	sir	sir	PROPN
cord-005350-19za0msu	4	30	epidemics	epidemic	NOUN
cord-005350-19za0msu	4	31	during	during	ADP
cord-005350-19za0msu	4	32	the	the	DET
cord-005350-19za0msu	4	33	approach	approach	NOUN
cord-005350-19za0msu	4	34	to	to	ADP
cord-005350-19za0msu	4	35	emergence	emergence	NOUN
cord-005350-19za0msu	4	36	or	or	CCONJ
cord-005350-19za0msu	4	37	elimination	elimination	NOUN
cord-005350-19za0msu	4	38	.	.	PUNCT
cord-005350-19za0msu	5	1	we	we	PRON
cord-005350-19za0msu	5	2	validated	validate	VERB
cord-005350-19za0msu	5	3	these	these	DET
cord-005350-19za0msu	5	4	expressions	expression	NOUN
cord-005350-19za0msu	5	5	using	use	VERB
cord-005350-19za0msu	5	6	individual	individual	NOUN
cord-005350-19za0msu	5	7	-	-	PUNCT
cord-005350-19za0msu	5	8	based	base	VERB
cord-005350-19za0msu	5	9	simulations	simulation	NOUN
cord-005350-19za0msu	5	10	.	.	PUNCT
cord-005350-19za0msu	6	1	we	we	PRON
cord-005350-19za0msu	6	2	further	far	ADV
cord-005350-19za0msu	6	3	showed	show	VERB
cord-005350-19za0msu	6	4	that	that	SCONJ
cord-005350-19za0msu	6	5	moving	moving	ADJ
cord-005350-19za0msu	6	6	-	-	PUNCT
cord-005350-19za0msu	6	7	window	window	NOUN
cord-005350-19za0msu	6	8	estimates	estimate	NOUN
cord-005350-19za0msu	6	9	of	of	ADP
cord-005350-19za0msu	6	10	these	these	DET
cord-005350-19za0msu	6	11	quantities	quantity	NOUN
cord-005350-19za0msu	6	12	may	may	AUX
cord-005350-19za0msu	6	13	be	be	AUX
cord-005350-19za0msu	6	14	used	use	VERB
cord-005350-19za0msu	6	15	for	for	ADP
cord-005350-19za0msu	6	16	anticipating	anticipate	VERB
cord-005350-19za0msu	6	17	critical	critical	ADJ
cord-005350-19za0msu	6	18	transitions	transition	NOUN
cord-005350-19za0msu	6	19	in	in	ADP
cord-005350-19za0msu	6	20	infectious	infectious	ADJ
cord-005350-19za0msu	6	21	disease	disease	NOUN
cord-005350-19za0msu	6	22	systems	system	NOUN
cord-005350-19za0msu	6	23	.	.	PUNCT
cord-005350-19za0msu	7	1	although	although	SCONJ
cord-005350-19za0msu	7	2	leading	leading	ADJ
cord-005350-19za0msu	7	3	indicators	indicator	NOUN
cord-005350-19za0msu	7	4	of	of	ADP
cord-005350-19za0msu	7	5	elimination	elimination	NOUN
cord-005350-19za0msu	7	6	were	be	AUX
cord-005350-19za0msu	7	7	highly	highly	ADV
cord-005350-19za0msu	7	8	predictive	predictive	ADJ
cord-005350-19za0msu	7	9	,	,	PUNCT
cord-005350-19za0msu	7	10	we	we	PRON
cord-005350-19za0msu	7	11	found	find	VERB
cord-005350-19za0msu	7	12	the	the	DET
cord-005350-19za0msu	7	13	approach	approach	NOUN
cord-005350-19za0msu	7	14	to	to	ADP
cord-005350-19za0msu	7	15	emergence	emergence	NOUN
cord-005350-19za0msu	7	16	to	to	PART
cord-005350-19za0msu	7	17	be	be	AUX
cord-005350-19za0msu	7	18	much	much	ADV
cord-005350-19za0msu	7	19	more	more	ADV
cord-005350-19za0msu	7	20	difficult	difficult	ADJ
cord-005350-19za0msu	7	21	to	to	PART
cord-005350-19za0msu	7	22	detect	detect	VERB
cord-005350-19za0msu	7	23	.	.	PUNCT
cord-005350-19za0msu	8	1	it	it	PRON
cord-005350-19za0msu	8	2	is	be	AUX
cord-005350-19za0msu	8	3	hoped	hope	VERB
cord-005350-19za0msu	8	4	that	that	SCONJ
cord-005350-19za0msu	8	5	these	these	DET
cord-005350-19za0msu	8	6	results	result	NOUN
cord-005350-19za0msu	8	7	,	,	PUNCT
cord-005350-19za0msu	8	8	which	which	PRON
cord-005350-19za0msu	8	9	show	show	VERB
cord-005350-19za0msu	8	10	the	the	DET
cord-005350-19za0msu	8	11	anticipation	anticipation	NOUN
cord-005350-19za0msu	8	12	of	of	ADP
cord-005350-19za0msu	8	13	critical	critical	ADJ
cord-005350-19za0msu	8	14	transitions	transition	NOUN
cord-005350-19za0msu	8	15	in	in	ADP
cord-005350-19za0msu	8	16	infectious	infectious	ADJ
cord-005350-19za0msu	8	17	disease	disease	NOUN
cord-005350-19za0msu	8	18	systems	system	NOUN
cord-005350-19za0msu	8	19	to	to	PART
cord-005350-19za0msu	8	20	be	be	AUX
cord-005350-19za0msu	8	21	theoretically	theoretically	ADV
cord-005350-19za0msu	8	22	possible	possible	ADJ
cord-005350-19za0msu	8	23	,	,	PUNCT
cord-005350-19za0msu	8	24	may	may	AUX
cord-005350-19za0msu	8	25	be	be	AUX
cord-005350-19za0msu	8	26	used	use	VERB
cord-005350-19za0msu	8	27	to	to	PART
cord-005350-19za0msu	8	28	guide	guide	VERB
cord-005350-19za0msu	8	29	the	the	DET
cord-005350-19za0msu	8	30	construction	construction	NOUN
cord-005350-19za0msu	8	31	of	of	ADP
cord-005350-19za0msu	8	32	online	online	ADJ
cord-005350-19za0msu	8	33	algorithms	algorithm	NOUN
cord-005350-19za0msu	8	34	for	for	ADP
cord-005350-19za0msu	8	35	processing	process	VERB
cord-005350-19za0msu	8	36	surveillance	surveillance	NOUN
cord-005350-19za0msu	8	37	data	datum	NOUN
cord-005350-19za0msu	8	38	.	.	PUNCT
cord-005350-19za0msu	9	1	infectious	infectious	ADJ
cord-005350-19za0msu	9	2	diseases	disease	NOUN
cord-005350-19za0msu	9	3	are	be	AUX
cord-005350-19za0msu	9	4	among	among	ADP
cord-005350-19za0msu	9	5	the	the	DET
cord-005350-19za0msu	9	6	most	most	ADV
cord-005350-19za0msu	9	7	visible	visible	ADJ
cord-005350-19za0msu	9	8	and	and	CCONJ
cord-005350-19za0msu	9	9	costly	costly	ADJ
cord-005350-19za0msu	9	10	threats	threat	NOUN
cord-005350-19za0msu	9	11	to	to	ADP
cord-005350-19za0msu	9	12	individual	individual	ADJ
cord-005350-19za0msu	9	13	and	and	CCONJ
cord-005350-19za0msu	9	14	public	public	ADJ
cord-005350-19za0msu	9	15	health	health	NOUN
cord-005350-19za0msu	9	16	.	.	PUNCT
cord-005350-19za0msu	10	1	antibiotics	antibiotic	NOUN
cord-005350-19za0msu	10	2	,	,	PUNCT
cord-005350-19za0msu	10	3	vaccines	vaccine	NOUN
cord-005350-19za0msu	10	4	,	,	PUNCT
cord-005350-19za0msu	10	5	and	and	CCONJ
cord-005350-19za0msu	10	6	the	the	DET
cord-005350-19za0msu	10	7	molecular	molecular	ADJ
cord-005350-19za0msu	10	8	revolution	revolution	NOUN
cord-005350-19za0msu	10	9	in	in	ADP
cord-005350-19za0msu	10	10	biology	biology	NOUN
cord-005350-19za0msu	10	11	have	have	AUX
cord-005350-19za0msu	10	12	not	not	PART
cord-005350-19za0msu	10	13	erased	erase	VERB
cord-005350-19za0msu	10	14	their	their	PRON
cord-005350-19za0msu	10	15	mark	mark	NOUN
cord-005350-19za0msu	10	16	.	.	PUNCT
cord-005350-19za0msu	11	1	millions	million	NOUN
cord-005350-19za0msu	11	2	of	of	ADP
cord-005350-19za0msu	11	3	persons	person	NOUN
cord-005350-19za0msu	11	4	die	die	VERB
cord-005350-19za0msu	11	5	every	every	DET
cord-005350-19za0msu	11	6	year	year	NOUN
cord-005350-19za0msu	11	7	from	from	ADP
cord-005350-19za0msu	11	8	treatable	treatable	ADJ
cord-005350-19za0msu	11	9	ancient	ancient	ADJ
cord-005350-19za0msu	11	10	diseases	disease	NOUN
cord-005350-19za0msu	11	11	,	,	PUNCT
cord-005350-19za0msu	11	12	such	such	ADJ
cord-005350-19za0msu	11	13	as	as	ADP
cord-005350-19za0msu	11	14	malaria	malaria	NOUN
cord-005350-19za0msu	11	15	(	(	PUNCT
cord-005350-19za0msu	11	16	gething	gethe	VERB
cord-005350-19za0msu	11	17	et	et	PROPN
cord-005350-19za0msu	11	18	al	al	PROPN
cord-005350-19za0msu	11	19	.	.	PROPN
cord-005350-19za0msu	11	20	2011	2011	NUM
cord-005350-19za0msu	11	21	;	;	PUNCT
cord-005350-19za0msu	11	22	who	who	PRON
cord-005350-19za0msu	11	23	2012	2012	NUM
cord-005350-19za0msu	11	24	)	)	PUNCT
cord-005350-19za0msu	11	25	,	,	PUNCT
cord-005350-19za0msu	11	26	tuberculosis	tuberculosis	NOUN
cord-005350-19za0msu	11	27	(	(	PUNCT
cord-005350-19za0msu	11	28	dye	dye	NOUN
cord-005350-19za0msu	11	29	et	et	X
cord-005350-19za0msu	11	30	al	al	PROPN
cord-005350-19za0msu	11	31	.	.	PROPN
cord-005350-19za0msu	11	32	2008	2008	NUM
cord-005350-19za0msu	11	33	)	)	PUNCT
cord-005350-19za0msu	11	34	,	,	PUNCT
cord-005350-19za0msu	11	35	and	and	CCONJ
cord-005350-19za0msu	11	36	measles	measle	NOUN
cord-005350-19za0msu	11	37	(	(	PUNCT
cord-005350-19za0msu	11	38	orenstein	orenstein	PROPN
cord-005350-19za0msu	11	39	and	and	CCONJ
cord-005350-19za0msu	11	40	hinman	hinman	PROPN
cord-005350-19za0msu	11	41	2012	2012	NUM
cord-005350-19za0msu	11	42	;	;	PUNCT
cord-005350-19za0msu	11	43	simons	simon	NOUN
cord-005350-19za0msu	11	44	et	et	PROPN
cord-005350-19za0msu	11	45	al	al	PROPN
cord-005350-19za0msu	11	46	.	.	PROPN
cord-005350-19za0msu	11	47	2012	2012	NUM
cord-005350-19za0msu	11	48	)	)	PUNCT
cord-005350-19za0msu	11	49	.	.	PUNCT
cord-005350-19za0msu	12	1	sometimes	sometimes	ADV
cord-005350-19za0msu	12	2	,	,	PUNCT
cord-005350-19za0msu	12	3	elimination	elimination	NOUN
cord-005350-19za0msu	12	4	of	of	ADP
cord-005350-19za0msu	12	5	these	these	DET
cord-005350-19za0msu	12	6	diseases	disease	NOUN
cord-005350-19za0msu	12	7	through	through	ADP
cord-005350-19za0msu	12	8	vaccination	vaccination	NOUN
cord-005350-19za0msu	12	9	,	,	PUNCT
cord-005350-19za0msu	12	10	prophylaxis	prophylaxis	NOUN
cord-005350-19za0msu	12	11	,	,	PUNCT
cord-005350-19za0msu	12	12	and/or	and/or	CCONJ
cord-005350-19za0msu	12	13	vector	vector	NOUN
cord-005350-19za0msu	12	14	control	control	NOUN
cord-005350-19za0msu	12	15	is	be	AUX
cord-005350-19za0msu	12	16	possible	possible	ADJ
cord-005350-19za0msu	12	17	,	,	PUNCT
cord-005350-19za0msu	12	18	but	but	CCONJ
cord-005350-19za0msu	12	19	sustaining	sustain	VERB
cord-005350-19za0msu	12	20	elimination	elimination	NOUN
cord-005350-19za0msu	12	21	campaigns	campaign	NOUN
cord-005350-19za0msu	12	22	is	be	AUX
cord-005350-19za0msu	12	23	difficult	difficult	ADJ
cord-005350-19za0msu	12	24	as	as	SCONJ
cord-005350-19za0msu	12	25	pathogens	pathogen	NOUN
cord-005350-19za0msu	12	26	approach	approach	VERB
cord-005350-19za0msu	12	27	the	the	DET
cord-005350-19za0msu	12	28	point	point	NOUN
cord-005350-19za0msu	12	29	of	of	ADP
cord-005350-19za0msu	12	30	elimination	elimination	NOUN
cord-005350-19za0msu	12	31	(	(	PUNCT
cord-005350-19za0msu	12	32	cohen	cohen	PROPN
cord-005350-19za0msu	12	33	et	et	PROPN
cord-005350-19za0msu	12	34	al	al	PROPN
cord-005350-19za0msu	12	35	.	.	PROPN
cord-005350-19za0msu	12	36	2012	2012	NUM
cord-005350-19za0msu	12	37	)	)	PUNCT
cord-005350-19za0msu	12	38	.	.	PUNCT
cord-005350-19za0msu	13	1	conversely	conversely	ADV
cord-005350-19za0msu	13	2	,	,	PUNCT
cord-005350-19za0msu	13	3	emerging	emerge	VERB
cord-005350-19za0msu	13	4	pathogens	pathogen	NOUN
cord-005350-19za0msu	13	5	such	such	ADJ
cord-005350-19za0msu	13	6	as	as	ADP
cord-005350-19za0msu	13	7	sars	sar	NOUN
cord-005350-19za0msu	13	8	and	and	CCONJ
cord-005350-19za0msu	13	9	swineorigin	swineorigin	VERB
cord-005350-19za0msu	13	10	influenza	influenza	NOUN
cord-005350-19za0msu	13	11	a	a	DET
cord-005350-19za0msu	13	12	(	(	PUNCT
cord-005350-19za0msu	13	13	h1n1	h1n1	PROPN
cord-005350-19za0msu	13	14	)	)	PUNCT
cord-005350-19za0msu	13	15	cause	cause	VERB
cord-005350-19za0msu	13	16	excess	excess	ADJ
cord-005350-19za0msu	13	17	mortality	mortality	NOUN
cord-005350-19za0msu	13	18	,	,	PUNCT
cord-005350-19za0msu	13	19	disrupt	disrupt	VERB
cord-005350-19za0msu	13	20	business	business	NOUN
cord-005350-19za0msu	13	21	,	,	PUNCT
cord-005350-19za0msu	13	22	terrorize	terrorize	VERB
cord-005350-19za0msu	13	23	vulnerable	vulnerable	ADJ
cord-005350-19za0msu	13	24	populations	population	NOUN
cord-005350-19za0msu	13	25	,	,	PUNCT
cord-005350-19za0msu	13	26	and	and	CCONJ
cord-005350-19za0msu	13	27	lead	lead	VERB
cord-005350-19za0msu	13	28	to	to	ADP
cord-005350-19za0msu	13	29	new	new	ADJ
cord-005350-19za0msu	13	30	,	,	PUNCT
cord-005350-19za0msu	13	31	sometimes	sometimes	ADV
cord-005350-19za0msu	13	32	ineradicable	ineradicable	ADJ
cord-005350-19za0msu	13	33	endemic	endemic	ADJ
cord-005350-19za0msu	13	34	diseases	disease	NOUN
cord-005350-19za0msu	13	35	(	(	PUNCT
cord-005350-19za0msu	13	36	e.g.	e.g.	ADV
cord-005350-19za0msu	13	37	,	,	PUNCT
cord-005350-19za0msu	13	38	hiv	hiv	PROPN
cord-005350-19za0msu	13	39	/	/	SYM
cord-005350-19za0msu	13	40	aids	aid	NOUN
cord-005350-19za0msu	13	41	)	)	PUNCT
cord-005350-19za0msu	13	42	.	.	PUNCT
cord-005350-19za0msu	14	1	the	the	DET
cord-005350-19za0msu	14	2	benefits	benefit	NOUN
cord-005350-19za0msu	14	3	of	of	ADP
cord-005350-19za0msu	14	4	accurately	accurately	ADV
cord-005350-19za0msu	14	5	forecasting	forecast	VERB
cord-005350-19za0msu	14	6	disease	disease	NOUN
cord-005350-19za0msu	14	7	emergence	emergence	NOUN
cord-005350-19za0msu	14	8	would	would	AUX
cord-005350-19za0msu	14	9	be	be	AUX
cord-005350-19za0msu	14	10	tremendous	tremendous	ADJ
cord-005350-19za0msu	14	11	:	:	PUNCT
cord-005350-19za0msu	14	12	in	in	ADP
cord-005350-19za0msu	14	13	the	the	DET
cord-005350-19za0msu	14	14	case	case	NOUN
cord-005350-19za0msu	14	15	of	of	ADP
cord-005350-19za0msu	14	16	a	a	DET
cord-005350-19za0msu	14	17	low	low	ADJ
cord-005350-19za0msu	14	18	-	-	PUNCT
cord-005350-19za0msu	14	19	incidence	incidence	NOUN
cord-005350-19za0msu	14	20	sarslike	sarslike	NOUN
cord-005350-19za0msu	14	21	pathogen	pathogen	PROPN
cord-005350-19za0msu	14	22	,	,	PUNCT
cord-005350-19za0msu	14	23	the	the	DET
cord-005350-19za0msu	14	24	savings	saving	NOUN
cord-005350-19za0msu	14	25	could	could	AUX
cord-005350-19za0msu	14	26	be	be	AUX
cord-005350-19za0msu	14	27	tens	ten	NOUN
cord-005350-19za0msu	14	28	of	of	ADP
cord-005350-19za0msu	14	29	billions	billion	NOUN
cord-005350-19za0msu	14	30	of	of	ADP
cord-005350-19za0msu	14	31	$	$	SYM
cord-005350-19za0msu	14	32	us	us	PROPN
cord-005350-19za0msu	14	33	(	(	PUNCT
cord-005350-19za0msu	14	34	rossi	rossi	PROPN
cord-005350-19za0msu	14	35	and	and	CCONJ
cord-005350-19za0msu	14	36	walker	walker	VERB
cord-005350-19za0msu	14	37	2005	2005	NUM
cord-005350-19za0msu	14	38	;	;	PUNCT
cord-005350-19za0msu	15	1	smith	smith	PROPN
cord-005350-19za0msu	15	2	et	et	PROPN
cord-005350-19za0msu	15	3	al	al	PROPN
cord-005350-19za0msu	15	4	.	.	PROPN
cord-005350-19za0msu	15	5	2009	2009	NUM
cord-005350-19za0msu	15	6	)	)	PUNCT
cord-005350-19za0msu	15	7	;	;	PUNCT
cord-005350-19za0msu	15	8	an	an	DET
cord-005350-19za0msu	15	9	illness	illness	NOUN
cord-005350-19za0msu	15	10	resembling	resemble	VERB
cord-005350-19za0msu	15	11	the	the	DET
cord-005350-19za0msu	15	12	1918	1918	NUM
cord-005350-19za0msu	15	13	influenza	influenza	NOUN
cord-005350-19za0msu	15	14	virus	virus	NOUN
cord-005350-19za0msu	15	15	might	might	AUX
cord-005350-19za0msu	15	16	take	take	VERB
cord-005350-19za0msu	15	17	millions	million	NOUN
cord-005350-19za0msu	15	18	of	of	ADP
cord-005350-19za0msu	15	19	lives	life	NOUN
cord-005350-19za0msu	15	20	and	and	CCONJ
cord-005350-19za0msu	15	21	impose	impose	VERB
cord-005350-19za0msu	15	22	costs	cost	NOUN
cord-005350-19za0msu	15	23	of	of	ADP
cord-005350-19za0msu	15	24	the	the	DET
cord-005350-19za0msu	15	25	same	same	ADJ
cord-005350-19za0msu	15	26	order	order	NOUN
cord-005350-19za0msu	15	27	as	as	ADP
cord-005350-19za0msu	15	28	a	a	DET
cord-005350-19za0msu	15	29	year	year	NOUN
cord-005350-19za0msu	15	30	's	's	PART
cord-005350-19za0msu	15	31	gross	gross	ADJ
cord-005350-19za0msu	15	32	domestic	domestic	ADJ
cord-005350-19za0msu	15	33	product	product	NOUN
cord-005350-19za0msu	15	34	(	(	PUNCT
cord-005350-19za0msu	15	35	osterholm	osterholm	VERB
cord-005350-19za0msu	15	36	2005	2005	NUM
cord-005350-19za0msu	15	37	)	)	PUNCT
cord-005350-19za0msu	15	38	.	.	PUNCT
cord-005350-19za0msu	16	1	elimination	elimination	NOUN
cord-005350-19za0msu	16	2	and	and	CCONJ
cord-005350-19za0msu	16	3	emergence	emergence	NOUN
cord-005350-19za0msu	16	4	of	of	ADP
cord-005350-19za0msu	16	5	infectious	infectious	ADJ
cord-005350-19za0msu	16	6	disease	disease	NOUN
cord-005350-19za0msu	16	7	both	both	PRON
cord-005350-19za0msu	16	8	involve	involve	VERB
cord-005350-19za0msu	16	9	a	a	DET
cord-005350-19za0msu	16	10	transmission	transmission	NOUN
cord-005350-19za0msu	16	11	system	system	NOUN
cord-005350-19za0msu	16	12	that	that	PRON
cord-005350-19za0msu	16	13	is	be	AUX
cord-005350-19za0msu	16	14	pushed	push	VERB
cord-005350-19za0msu	16	15	over	over	ADP
cord-005350-19za0msu	16	16	a	a	DET
cord-005350-19za0msu	16	17	critical	critical	ADJ
cord-005350-19za0msu	16	18	point	point	NOUN
cord-005350-19za0msu	16	19	.	.	PUNCT
cord-005350-19za0msu	17	1	in	in	ADP
cord-005350-19za0msu	17	2	most	most	ADJ
cord-005350-19za0msu	17	3	cases	case	NOUN
cord-005350-19za0msu	17	4	,	,	PUNCT
cord-005350-19za0msu	17	5	criticality	criticality	ADJ
cord-005350-19za0msu	17	6	occurs	occur	VERB
cord-005350-19za0msu	17	7	at	at	ADP
cord-005350-19za0msu	17	8	the	the	DET
cord-005350-19za0msu	17	9	point	point	NOUN
cord-005350-19za0msu	17	10	where	where	SCONJ
cord-005350-19za0msu	17	11	the	the	DET
cord-005350-19za0msu	17	12	basic	basic	ADJ
cord-005350-19za0msu	17	13	reproduction	reproduction	NOUN
cord-005350-19za0msu	17	14	number	number	NOUN
cord-005350-19za0msu	17	15	,	,	PUNCT
cord-005350-19za0msu	17	16	r	r	NOUN
cord-005350-19za0msu	17	17	0	0	NUM
cord-005350-19za0msu	17	18	,	,	PUNCT
cord-005350-19za0msu	17	19	the	the	DET
cord-005350-19za0msu	17	20	number	number	NOUN
cord-005350-19za0msu	17	21	of	of	ADP
cord-005350-19za0msu	17	22	secondary	secondary	ADJ
cord-005350-19za0msu	17	23	infected	infect	VERB
cord-005350-19za0msu	17	24	cases	case	NOUN
cord-005350-19za0msu	17	25	arising	arise	VERB
cord-005350-19za0msu	17	26	from	from	ADP
cord-005350-19za0msu	17	27	a	a	DET
cord-005350-19za0msu	17	28	single	single	ADJ
cord-005350-19za0msu	17	29	infected	infect	VERB
cord-005350-19za0msu	17	30	case	case	NOUN
cord-005350-19za0msu	17	31	in	in	ADP
cord-005350-19za0msu	17	32	an	an	DET
cord-005350-19za0msu	17	33	entirely	entirely	ADV
cord-005350-19za0msu	17	34	susceptible	susceptible	ADJ
cord-005350-19za0msu	17	35	population	population	NOUN
cord-005350-19za0msu	17	36	,	,	PUNCT
cord-005350-19za0msu	17	37	is	be	AUX
cord-005350-19za0msu	17	38	equal	equal	ADJ
cord-005350-19za0msu	17	39	to	to	ADP
cord-005350-19za0msu	17	40	one	one	NUM
cord-005350-19za0msu	17	41	(	(	PUNCT
cord-005350-19za0msu	17	42	heffernan	heffernan	PROPN
cord-005350-19za0msu	17	43	et	et	PROPN
cord-005350-19za0msu	17	44	al	al	PROPN
cord-005350-19za0msu	17	45	.	.	PROPN
cord-005350-19za0msu	17	46	2005	2005	NUM
cord-005350-19za0msu	17	47	)	)	PUNCT
cord-005350-19za0msu	17	48	.	.	PUNCT
cord-005350-19za0msu	18	1	similar	similar	ADJ
cord-005350-19za0msu	18	2	critical	critical	ADJ
cord-005350-19za0msu	18	3	points	point	NOUN
cord-005350-19za0msu	18	4	occur	occur	VERB
cord-005350-19za0msu	18	5	in	in	ADP
cord-005350-19za0msu	18	6	other	other	ADJ
cord-005350-19za0msu	18	7	complex	complex	ADJ
cord-005350-19za0msu	18	8	systems	system	NOUN
cord-005350-19za0msu	18	9	(	(	PUNCT
cord-005350-19za0msu	18	10	strogatz	strogatz	PROPN
cord-005350-19za0msu	18	11	1994	1994	NUM
cord-005350-19za0msu	18	12	;	;	PUNCT
cord-005350-19za0msu	18	13	sole	sole	ADJ
cord-005350-19za0msu	18	14	2011	2011	NUM
cord-005350-19za0msu	18	15	)	)	PUNCT
cord-005350-19za0msu	18	16	.	.	PUNCT
cord-005350-19za0msu	19	1	particularly	particularly	ADV
cord-005350-19za0msu	19	2	,	,	PUNCT
cord-005350-19za0msu	19	3	in	in	ADP
cord-005350-19za0msu	19	4	noisy	noisy	ADJ
cord-005350-19za0msu	19	5	(	(	PUNCT
cord-005350-19za0msu	19	6	stochastic	stochastic	ADJ
cord-005350-19za0msu	19	7	)	)	PUNCT
cord-005350-19za0msu	19	8	systems	system	NOUN
cord-005350-19za0msu	19	9	,	,	PUNCT
cord-005350-19za0msu	19	10	these	these	DET
cord-005350-19za0msu	19	11	critical	critical	ADJ
cord-005350-19za0msu	19	12	points	point	NOUN
cord-005350-19za0msu	19	13	manifest	manifest	NOUN
cord-005350-19za0msu	19	14	as	as	ADP
cord-005350-19za0msu	19	15	transitions	transition	NOUN
cord-005350-19za0msu	19	16	between	between	ADP
cord-005350-19za0msu	19	17	alternative	alternative	ADJ
cord-005350-19za0msu	19	18	modes	mode	NOUN
cord-005350-19za0msu	19	19	of	of	ADP
cord-005350-19za0msu	19	20	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	19	21	(	(	PUNCT
cord-005350-19za0msu	19	22	scheffer	scheffer	NOUN
cord-005350-19za0msu	19	23	2009	2009	NUM
cord-005350-19za0msu	19	24	;	;	PUNCT
cord-005350-19za0msu	19	25	scheffer	scheffer	PROPN
cord-005350-19za0msu	19	26	et	et	PROPN
cord-005350-19za0msu	19	27	al	al	PROPN
cord-005350-19za0msu	19	28	.	.	PROPN
cord-005350-19za0msu	19	29	2009	2009	NUM
cord-005350-19za0msu	19	30	;	;	PUNCT
cord-005350-19za0msu	19	31	lenton	lenton	PROPN
cord-005350-19za0msu	19	32	2011	2011	NUM
cord-005350-19za0msu	19	33	;	;	PUNCT
cord-005350-19za0msu	19	34	scheffer	scheffer	PROPN
cord-005350-19za0msu	19	35	et	et	PROPN
cord-005350-19za0msu	19	36	al	al	PROPN
cord-005350-19za0msu	19	37	.	.	PROPN
cord-005350-19za0msu	19	38	2012	2012	NUM
cord-005350-19za0msu	19	39	)	)	PUNCT
cord-005350-19za0msu	19	40	.	.	PUNCT
cord-005350-19za0msu	20	1	we	we	PRON
cord-005350-19za0msu	20	2	call	call	VERB
cord-005350-19za0msu	20	3	such	such	DET
cord-005350-19za0msu	20	4	a	a	DET
cord-005350-19za0msu	20	5	stochastic	stochastic	ADJ
cord-005350-19za0msu	20	6	transition	transition	NOUN
cord-005350-19za0msu	20	7	a	a	DET
cord-005350-19za0msu	20	8	critical	critical	ADJ
cord-005350-19za0msu	20	9	transition	transition	NOUN
cord-005350-19za0msu	20	10	if	if	SCONJ
cord-005350-19za0msu	20	11	there	there	PRON
cord-005350-19za0msu	20	12	exists	exist	VERB
cord-005350-19za0msu	20	13	a	a	DET
cord-005350-19za0msu	20	14	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	20	15	in	in	ADP
cord-005350-19za0msu	20	16	a	a	DET
cord-005350-19za0msu	20	17	suitably	suitably	ADV
cord-005350-19za0msu	20	18	constructed	construct	VERB
cord-005350-19za0msu	20	19	limit	limit	NOUN
cord-005350-19za0msu	20	20	case	case	NOUN
cord-005350-19za0msu	20	21	of	of	ADP
cord-005350-19za0msu	20	22	the	the	DET
cord-005350-19za0msu	20	23	mean	mean	ADJ
cord-005350-19za0msu	20	24	field	field	NOUN
cord-005350-19za0msu	20	25	model	model	NOUN
cord-005350-19za0msu	20	26	.	.	PUNCT
cord-005350-19za0msu	21	1	a	a	DET
cord-005350-19za0msu	21	2	central	central	ADJ
cord-005350-19za0msu	21	3	problem	problem	NOUN
cord-005350-19za0msu	21	4	in	in	ADP
cord-005350-19za0msu	21	5	the	the	DET
cord-005350-19za0msu	21	6	study	study	NOUN
cord-005350-19za0msu	21	7	of	of	ADP
cord-005350-19za0msu	21	8	critical	critical	ADJ
cord-005350-19za0msu	21	9	transitions	transition	NOUN
cord-005350-19za0msu	21	10	is	be	AUX
cord-005350-19za0msu	21	11	the	the	DET
cord-005350-19za0msu	21	12	identification	identification	NOUN
cord-005350-19za0msu	21	13	of	of	ADP
cord-005350-19za0msu	21	14	phenomena	phenomenon	NOUN
cord-005350-19za0msu	21	15	indicating	indicate	VERB
cord-005350-19za0msu	21	16	the	the	DET
cord-005350-19za0msu	21	17	proximity	proximity	NOUN
cord-005350-19za0msu	21	18	to	to	ADP
cord-005350-19za0msu	21	19	a	a	DET
cord-005350-19za0msu	21	20	critical	critical	ADJ
cord-005350-19za0msu	21	21	transition	transition	NOUN
cord-005350-19za0msu	21	22	in	in	ADP
cord-005350-19za0msu	21	23	the	the	DET
cord-005350-19za0msu	21	24	absence	absence	NOUN
cord-005350-19za0msu	21	25	of	of	ADP
cord-005350-19za0msu	21	26	a	a	DET
cord-005350-19za0msu	21	27	detailed	detailed	ADJ
cord-005350-19za0msu	21	28	understanding	understanding	NOUN
cord-005350-19za0msu	21	29	on	on	ADP
cord-005350-19za0msu	21	30	the	the	DET
cord-005350-19za0msu	21	31	system	system	NOUN
cord-005350-19za0msu	21	32	's	's	PART
cord-005350-19za0msu	21	33	dynamical	dynamical	ADJ
cord-005350-19za0msu	21	34	equations	equation	NOUN
cord-005350-19za0msu	21	35	and/or	and/or	CCONJ
cord-005350-19za0msu	21	36	the	the	DET
cord-005350-19za0msu	21	37	forcing	force	VERB
cord-005350-19za0msu	21	38	variables	variable	NOUN
cord-005350-19za0msu	21	39	causing	cause	VERB
cord-005350-19za0msu	21	40	the	the	DET
cord-005350-19za0msu	21	41	change	change	NOUN
cord-005350-19za0msu	21	42	scheffer	scheffer	VERB
cord-005350-19za0msu	21	43	et	et	PROPN
cord-005350-19za0msu	21	44	al	al	PROPN
cord-005350-19za0msu	21	45	.	.	PROPN
cord-005350-19za0msu	21	46	2012	2012	NUM
cord-005350-19za0msu	21	47	;	;	PUNCT
cord-005350-19za0msu	21	48	boettiger	boettiger	NOUN
cord-005350-19za0msu	21	49	and	and	CCONJ
cord-005350-19za0msu	21	50	hastings	hasting	NOUN
cord-005350-19za0msu	21	51	2012	2012	NUM
cord-005350-19za0msu	21	52	)	)	PUNCT
cord-005350-19za0msu	21	53	.	.	PUNCT
cord-005350-19za0msu	22	1	recent	recent	ADJ
cord-005350-19za0msu	22	2	studies	study	NOUN
cord-005350-19za0msu	22	3	have	have	AUX
cord-005350-19za0msu	22	4	established	establish	VERB
cord-005350-19za0msu	22	5	that	that	SCONJ
cord-005350-19za0msu	22	6	some	some	DET
cord-005350-19za0msu	22	7	noise	noise	NOUN
cord-005350-19za0msu	22	8	-	-	PUNCT
cord-005350-19za0msu	22	9	induced	induce	VERB
cord-005350-19za0msu	22	10	phenomena	phenomenon	NOUN
cord-005350-19za0msu	22	11	may	may	AUX
cord-005350-19za0msu	22	12	signal	signal	VERB
cord-005350-19za0msu	22	13	the	the	DET
cord-005350-19za0msu	22	14	approach	approach	NOUN
cord-005350-19za0msu	22	15	to	to	ADP
cord-005350-19za0msu	22	16	a	a	DET
cord-005350-19za0msu	22	17	critical	critical	ADJ
cord-005350-19za0msu	22	18	transition	transition	NOUN
cord-005350-19za0msu	22	19	in	in	ADP
cord-005350-19za0msu	22	20	a	a	DET
cord-005350-19za0msu	22	21	slowly	slowly	ADV
cord-005350-19za0msu	22	22	forced	force	VERB
cord-005350-19za0msu	22	23	dynamical	dynamical	ADJ
cord-005350-19za0msu	22	24	system	system	NOUN
cord-005350-19za0msu	22	25	(	(	PUNCT
cord-005350-19za0msu	22	26	ives	ive	NOUN
cord-005350-19za0msu	22	27	and	and	CCONJ
cord-005350-19za0msu	22	28	dakos	dakos	ADJ
cord-005350-19za0msu	22	29	2012	2012	NUM
cord-005350-19za0msu	22	30	;	;	PUNCT
cord-005350-19za0msu	22	31	dakos	dakos	PROPN
cord-005350-19za0msu	22	32	et	et	X
cord-005350-19za0msu	22	33	al	al	PROPN
cord-005350-19za0msu	22	34	.	.	PROPN
cord-005350-19za0msu	22	35	2012a	2012a	NUM
cord-005350-19za0msu	22	36	,	,	PUNCT
cord-005350-19za0msu	22	37	b	b	NOUN
cord-005350-19za0msu	22	38	;	;	PUNCT
cord-005350-19za0msu	22	39	dakos	dakos	PROPN
cord-005350-19za0msu	22	40	et	et	X
cord-005350-19za0msu	22	41	al	al	PROPN
cord-005350-19za0msu	22	42	.	.	PROPN
cord-005350-19za0msu	22	43	2008	2008	NUM
cord-005350-19za0msu	22	44	;	;	PUNCT
cord-005350-19za0msu	22	45	carpenter	carpenter	NOUN
cord-005350-19za0msu	22	46	and	and	CCONJ
cord-005350-19za0msu	22	47	brock	brock	NOUN
cord-005350-19za0msu	22	48	2006	2006	NUM
cord-005350-19za0msu	22	49	;	;	PUNCT
cord-005350-19za0msu	22	50	donangelo	donangelo	PROPN
cord-005350-19za0msu	22	51	et	et	PROPN
cord-005350-19za0msu	22	52	al	al	PROPN
cord-005350-19za0msu	22	53	.	.	PROPN
cord-005350-19za0msu	22	54	2012	2012	NUM
cord-005350-19za0msu	22	55	;	;	PUNCT
cord-005350-19za0msu	22	56	seekell	seekell	PROPN
cord-005350-19za0msu	22	57	et	et	PROPN
cord-005350-19za0msu	22	58	al	al	PROPN
cord-005350-19za0msu	22	59	.	.	PROPN
cord-005350-19za0msu	22	60	2011	2011	NUM
cord-005350-19za0msu	22	61	;	;	PUNCT
cord-005350-19za0msu	22	62	carpenter	carpenter	NOUN
cord-005350-19za0msu	22	63	and	and	CCONJ
cord-005350-19za0msu	22	64	brock	brock	NOUN
cord-005350-19za0msu	22	65	2011	2011	NUM
cord-005350-19za0msu	22	66	;	;	PUNCT
cord-005350-19za0msu	22	67	brock	brock	NOUN
cord-005350-19za0msu	22	68	and	and	CCONJ
cord-005350-19za0msu	22	69	carpenter	carpenter	NOUN
cord-005350-19za0msu	22	70	2010	2010	NUM
cord-005350-19za0msu	22	71	;	;	PUNCT
cord-005350-19za0msu	22	72	dakos	dakos	PROPN
cord-005350-19za0msu	22	73	et	et	X
cord-005350-19za0msu	22	74	al	al	PROPN
cord-005350-19za0msu	22	75	.	.	PROPN
cord-005350-19za0msu	22	76	2010	2010	NUM
cord-005350-19za0msu	22	77	;	;	PUNCT
cord-005350-19za0msu	22	78	carpenter	carpenter	PROPN
cord-005350-19za0msu	22	79	et	et	PROPN
cord-005350-19za0msu	22	80	al	al	PROPN
cord-005350-19za0msu	22	81	.	.	PROPN
cord-005350-19za0msu	22	82	2008	2008	NUM
cord-005350-19za0msu	22	83	;	;	PUNCT
cord-005350-19za0msu	22	84	jayaprakash	jayaprakash	PROPN
cord-005350-19za0msu	22	85	2008	2008	NUM
cord-005350-19za0msu	22	86	,	,	PUNCT
cord-005350-19za0msu	22	87	2009	2009	NUM
cord-005350-19za0msu	22	88	)	)	PUNCT
cord-005350-19za0msu	22	89	.	.	PUNCT
cord-005350-19za0msu	23	1	if	if	SCONJ
cord-005350-19za0msu	23	2	this	this	DET
cord-005350-19za0msu	23	3	property	property	NOUN
cord-005350-19za0msu	23	4	would	would	AUX
cord-005350-19za0msu	23	5	apply	apply	VERB
cord-005350-19za0msu	23	6	to	to	ADP
cord-005350-19za0msu	23	7	infectious	infectious	ADJ
cord-005350-19za0msu	23	8	diseases	disease	NOUN
cord-005350-19za0msu	23	9	,	,	PUNCT
cord-005350-19za0msu	23	10	it	it	PRON
cord-005350-19za0msu	23	11	would	would	AUX
cord-005350-19za0msu	23	12	suggest	suggest	VERB
cord-005350-19za0msu	23	13	a	a	DET
cord-005350-19za0msu	23	14	model	model	NOUN
cord-005350-19za0msu	23	15	-	-	PUNCT
cord-005350-19za0msu	23	16	independent	independent	ADJ
cord-005350-19za0msu	23	17	route	route	NOUN
cord-005350-19za0msu	23	18	to	to	ADP
cord-005350-19za0msu	23	19	forecasting	forecast	VERB
cord-005350-19za0msu	23	20	infectious	infectious	ADJ
cord-005350-19za0msu	23	21	disease	disease	NOUN
cord-005350-19za0msu	23	22	emergence	emergence	NOUN
cord-005350-19za0msu	23	23	in	in	ADP
cord-005350-19za0msu	23	24	subcritical	subcritical	ADJ
cord-005350-19za0msu	23	25	systems	system	NOUN
cord-005350-19za0msu	23	26	with	with	ADP
cord-005350-19za0msu	23	27	r	r	NOUN
cord-005350-19za0msu	23	28	0	0	PUNCT
cord-005350-19za0msu	23	29	<	<	X
cord-005350-19za0msu	23	30	1	1	NUM
cord-005350-19za0msu	23	31	(	(	PUNCT
cord-005350-19za0msu	23	32	i.e.	i.e.	X
cord-005350-19za0msu	23	33	,	,	PUNCT
cord-005350-19za0msu	23	34	crossing	cross	VERB
cord-005350-19za0msu	23	35	the	the	DET
cord-005350-19za0msu	23	36	critical	critical	ADJ
cord-005350-19za0msu	23	37	point	point	NOUN
cord-005350-19za0msu	23	38	"	"	PUNCT
cord-005350-19za0msu	23	39	from	from	ADP
cord-005350-19za0msu	23	40	below	below	ADP
cord-005350-19za0msu	23	41	"	"	PUNCT
cord-005350-19za0msu	23	42	)	)	PUNCT
cord-005350-19za0msu	23	43	and	and	CCONJ
cord-005350-19za0msu	23	44	documenting	document	VERB
cord-005350-19za0msu	23	45	the	the	DET
cord-005350-19za0msu	23	46	approach	approach	NOUN
cord-005350-19za0msu	23	47	to	to	ADP
cord-005350-19za0msu	23	48	elimination	elimination	NOUN
cord-005350-19za0msu	23	49	in	in	ADP
cord-005350-19za0msu	23	50	endemic	endemic	ADJ
cord-005350-19za0msu	23	51	(	(	PUNCT
cord-005350-19za0msu	23	52	supercritical	supercritical	ADJ
cord-005350-19za0msu	23	53	)	)	PUNCT
cord-005350-19za0msu	23	54	disease	disease	NOUN
cord-005350-19za0msu	23	55	systems	system	NOUN
cord-005350-19za0msu	23	56	where	where	SCONJ
cord-005350-19za0msu	23	57	r	r	NOUN
cord-005350-19za0msu	23	58	0	0	PUNCT
cord-005350-19za0msu	23	59	>	>	SYM
cord-005350-19za0msu	23	60	1	1	NUM
cord-005350-19za0msu	23	61	(	(	PUNCT
cord-005350-19za0msu	23	62	crossing	cross	VERB
cord-005350-19za0msu	23	63	the	the	DET
cord-005350-19za0msu	23	64	critical	critical	ADJ
cord-005350-19za0msu	23	65	point	point	NOUN
cord-005350-19za0msu	23	66	"	"	PUNCT
cord-005350-19za0msu	23	67	from	from	ADP
cord-005350-19za0msu	23	68	above	above	ADP
cord-005350-19za0msu	23	69	"	"	PUNCT
cord-005350-19za0msu	23	70	)	)	PUNCT
cord-005350-19za0msu	23	71	.	.	PUNCT
cord-005350-19za0msu	24	1	many	many	ADJ
cord-005350-19za0msu	24	2	of	of	ADP
cord-005350-19za0msu	24	3	these	these	DET
cord-005350-19za0msu	24	4	characteristic	characteristic	ADJ
cord-005350-19za0msu	24	5	noise	noise	NOUN
cord-005350-19za0msu	24	6	-	-	PUNCT
cord-005350-19za0msu	24	7	induced	induce	VERB
cord-005350-19za0msu	24	8	phenomena	phenomenon	NOUN
cord-005350-19za0msu	24	9	involve	involve	VERB
cord-005350-19za0msu	24	10	critical	critical	ADJ
cord-005350-19za0msu	24	11	slowing	slowing	NOUN
cord-005350-19za0msu	24	12	down	down	ADV
cord-005350-19za0msu	24	13	,	,	PUNCT
cord-005350-19za0msu	24	14	a	a	DET
cord-005350-19za0msu	24	15	decline	decline	NOUN
cord-005350-19za0msu	24	16	in	in	ADP
cord-005350-19za0msu	24	17	the	the	DET
cord-005350-19za0msu	24	18	resilience	resilience	NOUN
cord-005350-19za0msu	24	19	of	of	ADP
cord-005350-19za0msu	24	20	the	the	DET
cord-005350-19za0msu	24	21	system	system	NOUN
cord-005350-19za0msu	24	22	to	to	ADP
cord-005350-19za0msu	24	23	perturbations	perturbation	NOUN
cord-005350-19za0msu	24	24	,	,	PUNCT
cord-005350-19za0msu	24	25	which	which	PRON
cord-005350-19za0msu	24	26	generally	generally	ADV
cord-005350-19za0msu	24	27	gives	give	VERB
cord-005350-19za0msu	24	28	rise	rise	NOUN
cord-005350-19za0msu	24	29	to	to	ADP
cord-005350-19za0msu	24	30	an	an	DET
cord-005350-19za0msu	24	31	increase	increase	NOUN
cord-005350-19za0msu	24	32	in	in	ADP
cord-005350-19za0msu	24	33	the	the	DET
cord-005350-19za0msu	24	34	variance	variance	NOUN
cord-005350-19za0msu	24	35	and	and	CCONJ
cord-005350-19za0msu	24	36	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	24	37	of	of	ADP
cord-005350-19za0msu	24	38	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	24	39	as	as	SCONJ
cord-005350-19za0msu	24	40	the	the	DET
cord-005350-19za0msu	24	41	system	system	NOUN
cord-005350-19za0msu	24	42	approaches	approach	VERB
cord-005350-19za0msu	24	43	the	the	DET
cord-005350-19za0msu	24	44	transition	transition	NOUN
cord-005350-19za0msu	24	45	(	(	PUNCT
cord-005350-19za0msu	24	46	van	van	PROPN
cord-005350-19za0msu	24	47	nes	nes	PROPN
cord-005350-19za0msu	24	48	and	and	CCONJ
cord-005350-19za0msu	24	49	scheffer	scheffer	PROPN
cord-005350-19za0msu	24	50	2007	2007	NUM
cord-005350-19za0msu	24	51	;	;	PUNCT
cord-005350-19za0msu	24	52	dakos	dakos	PROPN
cord-005350-19za0msu	24	53	et	et	X
cord-005350-19za0msu	24	54	al	al	PROPN
cord-005350-19za0msu	24	55	.	.	PROPN
cord-005350-19za0msu	24	56	2012a	2012a	NUM
cord-005350-19za0msu	24	57	)	)	PUNCT
cord-005350-19za0msu	24	58	.	.	PUNCT
cord-005350-19za0msu	25	1	but	but	CCONJ
cord-005350-19za0msu	25	2	,	,	PUNCT
cord-005350-19za0msu	25	3	these	these	DET
cord-005350-19za0msu	25	4	properties	property	NOUN
cord-005350-19za0msu	25	5	require	require	VERB
cord-005350-19za0msu	25	6	that	that	SCONJ
cord-005350-19za0msu	25	7	the	the	DET
cord-005350-19za0msu	25	8	transition	transition	NOUN
cord-005350-19za0msu	25	9	be	be	AUX
cord-005350-19za0msu	25	10	suitably	suitably	ADV
cord-005350-19za0msu	25	11	regular	regular	ADJ
cord-005350-19za0msu	25	12	(	(	PUNCT
cord-005350-19za0msu	25	13	hastings	hasting	NOUN
cord-005350-19za0msu	25	14	and	and	CCONJ
cord-005350-19za0msu	25	15	wysham	wysham	PROPN
cord-005350-19za0msu	25	16	2010	2010	NUM
cord-005350-19za0msu	25	17	)	)	PUNCT
cord-005350-19za0msu	25	18	.	.	PUNCT
cord-005350-19za0msu	26	1	specifically	specifically	ADV
cord-005350-19za0msu	26	2	,	,	PUNCT
cord-005350-19za0msu	26	3	to	to	PART
cord-005350-19za0msu	26	4	observe	observe	VERB
cord-005350-19za0msu	26	5	critical	critical	ADJ
cord-005350-19za0msu	26	6	slowing	slowing	NOUN
cord-005350-19za0msu	26	7	down	down	ADP
cord-005350-19za0msu	26	8	requires	require	VERB
cord-005350-19za0msu	26	9	that	that	SCONJ
cord-005350-19za0msu	26	10	the	the	DET
cord-005350-19za0msu	26	11	potential	potential	ADJ
cord-005350-19za0msu	26	12	function	function	NOUN
cord-005350-19za0msu	26	13	of	of	ADP
cord-005350-19za0msu	26	14	the	the	DET
cord-005350-19za0msu	26	15	system	system	NOUN
cord-005350-19za0msu	26	16	,	,	PUNCT
cord-005350-19za0msu	26	17	if	if	SCONJ
cord-005350-19za0msu	26	18	it	it	PRON
cord-005350-19za0msu	26	19	exists	exist	VERB
cord-005350-19za0msu	26	20	,	,	PUNCT
cord-005350-19za0msu	26	21	be	be	AUX
cord-005350-19za0msu	26	22	smooth	smooth	ADJ
cord-005350-19za0msu	26	23	.	.	PUNCT
cord-005350-19za0msu	27	1	also	also	ADV
cord-005350-19za0msu	27	2	,	,	PUNCT
cord-005350-19za0msu	27	3	for	for	ADP
cord-005350-19za0msu	27	4	systems	system	NOUN
cord-005350-19za0msu	27	5	with	with	ADP
cord-005350-19za0msu	27	6	multiple	multiple	ADJ
cord-005350-19za0msu	27	7	attracting	attracting	NOUN
cord-005350-19za0msu	27	8	sets	set	NOUN
cord-005350-19za0msu	27	9	(	(	PUNCT
cord-005350-19za0msu	27	10	e.g.	e.g.	ADV
cord-005350-19za0msu	27	11	,	,	PUNCT
cord-005350-19za0msu	27	12	bistable	bistable	ADJ
cord-005350-19za0msu	27	13	systems	system	NOUN
cord-005350-19za0msu	27	14	)	)	PUNCT
cord-005350-19za0msu	27	15	,	,	PUNCT
cord-005350-19za0msu	27	16	a	a	DET
cord-005350-19za0msu	27	17	sufficient	sufficient	ADJ
cord-005350-19za0msu	27	18	level	level	NOUN
cord-005350-19za0msu	27	19	of	of	ADP
cord-005350-19za0msu	27	20	noise	noise	NOUN
cord-005350-19za0msu	27	21	gives	give	VERB
cord-005350-19za0msu	27	22	rise	rise	NOUN
cord-005350-19za0msu	27	23	to	to	ADP
cord-005350-19za0msu	27	24	"	"	PUNCT
cord-005350-19za0msu	27	25	flickering	flicker	VERB
cord-005350-19za0msu	27	26	"	"	PUNCT
cord-005350-19za0msu	27	27	which	which	PRON
cord-005350-19za0msu	27	28	exhibits	exhibit	VERB
cord-005350-19za0msu	27	29	the	the	DET
cord-005350-19za0msu	27	30	characteristic	characteristic	ADJ
cord-005350-19za0msu	27	31	increase	increase	NOUN
cord-005350-19za0msu	27	32	in	in	ADP
cord-005350-19za0msu	27	33	variance	variance	NOUN
cord-005350-19za0msu	27	34	(	(	PUNCT
cord-005350-19za0msu	27	35	but	but	CCONJ
cord-005350-19za0msu	27	36	for	for	ADP
cord-005350-19za0msu	27	37	a	a	DET
cord-005350-19za0msu	27	38	different	different	ADJ
cord-005350-19za0msu	27	39	reason	reason	NOUN
cord-005350-19za0msu	27	40	)	)	PUNCT
cord-005350-19za0msu	27	41	and	and	CCONJ
cord-005350-19za0msu	27	42	not	not	PART
cord-005350-19za0msu	27	43	the	the	DET
cord-005350-19za0msu	27	44	increase	increase	NOUN
cord-005350-19za0msu	27	45	in	in	ADP
cord-005350-19za0msu	27	46	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	27	47	dakos	dakos	ADJ
cord-005350-19za0msu	27	48	et	et	PROPN
cord-005350-19za0msu	27	49	al	al	PROPN
cord-005350-19za0msu	27	50	.	.	PROPN
cord-005350-19za0msu	27	51	2012b	2012b	NUM
cord-005350-19za0msu	27	52	)	)	PUNCT
cord-005350-19za0msu	27	53	.	.	PUNCT
cord-005350-19za0msu	28	1	other	other	ADJ
cord-005350-19za0msu	28	2	obstacles	obstacle	NOUN
cord-005350-19za0msu	28	3	to	to	ADP
cord-005350-19za0msu	28	4	anticipating	anticipate	VERB
cord-005350-19za0msu	28	5	critical	critical	ADJ
cord-005350-19za0msu	28	6	transitions	transition	NOUN
cord-005350-19za0msu	28	7	in	in	ADP
cord-005350-19za0msu	28	8	infectious	infectious	ADJ
cord-005350-19za0msu	28	9	diseases	disease	NOUN
cord-005350-19za0msu	28	10	include	include	VERB
cord-005350-19za0msu	28	11	that	that	SCONJ
cord-005350-19za0msu	28	12	epidemiological	epidemiological	ADJ
cord-005350-19za0msu	28	13	systems	system	NOUN
cord-005350-19za0msu	28	14	are	be	AUX
cord-005350-19za0msu	28	15	complicated	complicate	VERB
cord-005350-19za0msu	28	16	by	by	ADP
cord-005350-19za0msu	28	17	amplification	amplification	NOUN
cord-005350-19za0msu	28	18	of	of	ADP
cord-005350-19za0msu	28	19	transients	transient	NOUN
cord-005350-19za0msu	28	20	and	and	CCONJ
cord-005350-19za0msu	28	21	oscillatory	oscillatory	ADJ
cord-005350-19za0msu	28	22	dynamics	dynamic	NOUN
cord-005350-19za0msu	28	23	bauch	bauch	INTJ
cord-005350-19za0msu	28	24	and	and	CCONJ
cord-005350-19za0msu	28	25	earn	earn	VERB
cord-005350-19za0msu	28	26	2003	2003	NUM
cord-005350-19za0msu	28	27	)	)	PUNCT
cord-005350-19za0msu	28	28	,	,	PUNCT
cord-005350-19za0msu	28	29	that	that	SCONJ
cord-005350-19za0msu	28	30	infectious	infectious	ADJ
cord-005350-19za0msu	28	31	diseases	disease	NOUN
cord-005350-19za0msu	28	32	are	be	AUX
cord-005350-19za0msu	28	33	often	often	ADV
cord-005350-19za0msu	28	34	seasonally	seasonally	ADV
cord-005350-19za0msu	28	35	forced	force	VERB
cord-005350-19za0msu	28	36	(	(	PUNCT
cord-005350-19za0msu	28	37	altizer	altizer	PROPN
cord-005350-19za0msu	28	38	et	et	PROPN
cord-005350-19za0msu	28	39	al	al	PROPN
cord-005350-19za0msu	28	40	.	.	PROPN
cord-005350-19za0msu	28	41	2006	2006	NUM
cord-005350-19za0msu	28	42	;	;	PUNCT
cord-005350-19za0msu	28	43	fraser	fraser	PROPN
cord-005350-19za0msu	28	44	and	and	CCONJ
cord-005350-19za0msu	28	45	grassly	grassly	ADV
cord-005350-19za0msu	28	46	2006	2006	NUM
cord-005350-19za0msu	28	47	)	)	PUNCT
cord-005350-19za0msu	28	48	and	and	CCONJ
cord-005350-19za0msu	28	49	propagate	propagate	VERB
cord-005350-19za0msu	28	50	in	in	ADP
cord-005350-19za0msu	28	51	demographically	demographically	ADV
cord-005350-19za0msu	28	52	open	open	ADJ
cord-005350-19za0msu	28	53	systems	system	NOUN
cord-005350-19za0msu	28	54	subject	subject	ADJ
cord-005350-19za0msu	28	55	to	to	ADP
cord-005350-19za0msu	28	56	imported	import	VERB
cord-005350-19za0msu	28	57	cases	case	NOUN
cord-005350-19za0msu	28	58	,	,	PUNCT
cord-005350-19za0msu	28	59	and	and	CCONJ
cord-005350-19za0msu	28	60	that	that	SCONJ
cord-005350-19za0msu	28	61	diseases	disease	NOUN
cord-005350-19za0msu	28	62	that	that	PRON
cord-005350-19za0msu	28	63	are	be	AUX
cord-005350-19za0msu	28	64	close	close	ADJ
cord-005350-19za0msu	28	65	to	to	ADP
cord-005350-19za0msu	28	66	elimination	elimination	NOUN
cord-005350-19za0msu	28	67	or	or	CCONJ
cord-005350-19za0msu	28	68	close	close	ADJ
cord-005350-19za0msu	28	69	to	to	ADP
cord-005350-19za0msu	28	70	emerging	emerge	VERB
cord-005350-19za0msu	28	71	are	be	AUX
cord-005350-19za0msu	28	72	,	,	PUNCT
cord-005350-19za0msu	28	73	by	by	ADP
cord-005350-19za0msu	28	74	definition	definition	NOUN
cord-005350-19za0msu	28	75	,	,	PUNCT
cord-005350-19za0msu	28	76	characterized	characterize	VERB
cord-005350-19za0msu	28	77	by	by	ADP
cord-005350-19za0msu	28	78	low	low	ADJ
cord-005350-19za0msu	28	79	prevalence	prevalence	NOUN
cord-005350-19za0msu	28	80	and	and	CCONJ
cord-005350-19za0msu	28	81	,	,	PUNCT
cord-005350-19za0msu	28	82	therefore	therefore	ADV
cord-005350-19za0msu	28	83	,	,	PUNCT
cord-005350-19za0msu	28	84	both	both	PRON
cord-005350-19za0msu	28	85	subject	subject	ADJ
cord-005350-19za0msu	28	86	to	to	ADP
cord-005350-19za0msu	28	87	demographic	demographic	ADJ
cord-005350-19za0msu	28	88	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	28	89	and	and	CCONJ
cord-005350-19za0msu	28	90	difficult	difficult	ADJ
cord-005350-19za0msu	28	91	to	to	PART
cord-005350-19za0msu	28	92	observe	observe	VERB
cord-005350-19za0msu	28	93	(	(	PUNCT
cord-005350-19za0msu	28	94	lloyd	lloyd	PROPN
cord-005350-19za0msu	28	95	-	-	PUNCT
cord-005350-19za0msu	28	96	smith	smith	PROPN
cord-005350-19za0msu	28	97	et	et	PROPN
cord-005350-19za0msu	28	98	al	al	PROPN
cord-005350-19za0msu	28	99	.	.	PROPN
cord-005350-19za0msu	28	100	2009	2009	NUM
cord-005350-19za0msu	28	101	)	)	PUNCT
cord-005350-19za0msu	28	102	.	.	PUNCT
cord-005350-19za0msu	29	1	therefore	therefore	ADV
cord-005350-19za0msu	29	2	,	,	PUNCT
cord-005350-19za0msu	29	3	to	to	PART
cord-005350-19za0msu	29	4	determine	determine	VERB
cord-005350-19za0msu	29	5	whether	whether	SCONJ
cord-005350-19za0msu	29	6	diagnostic	diagnostic	ADJ
cord-005350-19za0msu	29	7	noise	noise	NOUN
cord-005350-19za0msu	29	8	-	-	PUNCT
cord-005350-19za0msu	29	9	induced	induce	VERB
cord-005350-19za0msu	29	10	phenomena	phenomenon	NOUN
cord-005350-19za0msu	29	11	accompany	accompany	VERB
cord-005350-19za0msu	29	12	the	the	DET
cord-005350-19za0msu	29	13	critical	critical	ADJ
cord-005350-19za0msu	29	14	transitions	transition	NOUN
cord-005350-19za0msu	29	15	that	that	PRON
cord-005350-19za0msu	29	16	occur	occur	VERB
cord-005350-19za0msu	29	17	in	in	ADP
cord-005350-19za0msu	29	18	infectious	infectious	ADJ
cord-005350-19za0msu	29	19	disease	disease	NOUN
cord-005350-19za0msu	29	20	dynamics	dynamic	NOUN
cord-005350-19za0msu	29	21	,	,	PUNCT
cord-005350-19za0msu	29	22	namely	namely	ADV
cord-005350-19za0msu	29	23	the	the	DET
cord-005350-19za0msu	29	24	transition	transition	NOUN
cord-005350-19za0msu	29	25	to	to	ADP
cord-005350-19za0msu	29	26	endemicity	endemicity	NOUN
cord-005350-19za0msu	29	27	of	of	ADP
cord-005350-19za0msu	29	28	emerging	emerge	VERB
cord-005350-19za0msu	29	29	infectious	infectious	ADJ
cord-005350-19za0msu	29	30	diseases	disease	NOUN
cord-005350-19za0msu	29	31	and	and	CCONJ
cord-005350-19za0msu	29	32	the	the	DET
cord-005350-19za0msu	29	33	transition	transition	NOUN
cord-005350-19za0msu	29	34	to	to	ADP
cord-005350-19za0msu	29	35	extinction	extinction	NOUN
cord-005350-19za0msu	29	36	in	in	ADP
cord-005350-19za0msu	29	37	disease	disease	NOUN
cord-005350-19za0msu	29	38	elimination	elimination	NOUN
cord-005350-19za0msu	29	39	,	,	PUNCT
cord-005350-19za0msu	29	40	it	it	PRON
cord-005350-19za0msu	29	41	will	will	AUX
cord-005350-19za0msu	29	42	be	be	AUX
cord-005350-19za0msu	29	43	useful	useful	ADJ
cord-005350-19za0msu	29	44	to	to	PART
cord-005350-19za0msu	29	45	have	have	VERB
cord-005350-19za0msu	29	46	a	a	DET
cord-005350-19za0msu	29	47	quantitative	quantitative	ADJ
cord-005350-19za0msu	29	48	theory	theory	NOUN
cord-005350-19za0msu	29	49	,	,	PUNCT
cord-005350-19za0msu	29	50	both	both	PRON
cord-005350-19za0msu	29	51	to	to	PART
cord-005350-19za0msu	29	52	guide	guide	VERB
cord-005350-19za0msu	29	53	the	the	DET
cord-005350-19za0msu	29	54	selection	selection	NOUN
cord-005350-19za0msu	29	55	of	of	ADP
cord-005350-19za0msu	29	56	statistical	statistical	ADJ
cord-005350-19za0msu	29	57	quantities	quantity	NOUN
cord-005350-19za0msu	29	58	to	to	PART
cord-005350-19za0msu	29	59	be	be	AUX
cord-005350-19za0msu	29	60	investigated	investigate	VERB
cord-005350-19za0msu	29	61	and	and	CCONJ
cord-005350-19za0msu	29	62	to	to	PART
cord-005350-19za0msu	29	63	predict	predict	VERB
cord-005350-19za0msu	29	64	the	the	DET
cord-005350-19za0msu	29	65	form	form	NOUN
cord-005350-19za0msu	29	66	that	that	PRON
cord-005350-19za0msu	29	67	observable	observable	ADJ
cord-005350-19za0msu	29	68	quantities	quantity	NOUN
cord-005350-19za0msu	29	69	should	should	AUX
cord-005350-19za0msu	29	70	take	take	VERB
cord-005350-19za0msu	29	71	as	as	SCONJ
cord-005350-19za0msu	29	72	the	the	DET
cord-005350-19za0msu	29	73	transition	transition	NOUN
cord-005350-19za0msu	29	74	is	be	AUX
cord-005350-19za0msu	29	75	approached	approach	VERB
cord-005350-19za0msu	29	76	.	.	PUNCT
cord-005350-19za0msu	30	1	this	this	DET
cord-005350-19za0msu	30	2	paper	paper	NOUN
cord-005350-19za0msu	30	3	is	be	AUX
cord-005350-19za0msu	30	4	a	a	DET
cord-005350-19za0msu	30	5	contribution	contribution	NOUN
cord-005350-19za0msu	30	6	to	to	ADP
cord-005350-19za0msu	30	7	this	this	DET
cord-005350-19za0msu	30	8	theory	theory	NOUN
cord-005350-19za0msu	30	9	.	.	PUNCT
cord-005350-19za0msu	31	1	we	we	PRON
cord-005350-19za0msu	31	2	consider	consider	VERB
cord-005350-19za0msu	31	3	the	the	DET
cord-005350-19za0msu	31	4	compartmental	compartmental	NOUN
cord-005350-19za0msu	31	5	susceptible	susceptible	ADJ
cord-005350-19za0msu	31	6	-	-	PUNCT
cord-005350-19za0msu	31	7	infectious	infectious	ADJ
cord-005350-19za0msu	31	8	-	-	PUNCT
cord-005350-19za0msu	31	9	susceptible	susceptible	ADJ
cord-005350-19za0msu	31	10	(	(	PUNCT
cord-005350-19za0msu	31	11	sis	sis	NOUN
cord-005350-19za0msu	31	12	)	)	PUNCT
cord-005350-19za0msu	31	13	and	and	CCONJ
cord-005350-19za0msu	31	14	susceptible	susceptible	ADJ
cord-005350-19za0msu	31	15	-	-	PUNCT
cord-005350-19za0msu	31	16	infectious	infectious	ADJ
cord-005350-19za0msu	31	17	-	-	PUNCT
cord-005350-19za0msu	31	18	recovered	recovered	ADJ
cord-005350-19za0msu	31	19	(	(	PUNCT
cord-005350-19za0msu	31	20	sir	sir	PROPN
cord-005350-19za0msu	31	21	)	)	PUNCT
cord-005350-19za0msu	31	22	models	model	NOUN
cord-005350-19za0msu	31	23	,	,	PUNCT
cord-005350-19za0msu	31	24	which	which	PRON
cord-005350-19za0msu	31	25	are	be	AUX
cord-005350-19za0msu	31	26	widely	widely	ADV
cord-005350-19za0msu	31	27	used	use	VERB
cord-005350-19za0msu	31	28	to	to	PART
cord-005350-19za0msu	31	29	represent	represent	VERB
cord-005350-19za0msu	31	30	the	the	DET
cord-005350-19za0msu	31	31	dynamics	dynamic	NOUN
cord-005350-19za0msu	31	32	of	of	ADP
cord-005350-19za0msu	31	33	a	a	DET
cord-005350-19za0msu	31	34	range	range	NOUN
cord-005350-19za0msu	31	35	of	of	ADP
cord-005350-19za0msu	31	36	nonimmunizing	nonimmunize	VERB
cord-005350-19za0msu	31	37	and	and	CCONJ
cord-005350-19za0msu	31	38	immunizing	immunizing	NOUN
cord-005350-19za0msu	31	39	pathogens	pathogen	NOUN
cord-005350-19za0msu	31	40	and	and	CCONJ
cord-005350-19za0msu	31	41	may	may	AUX
cord-005350-19za0msu	31	42	be	be	AUX
cord-005350-19za0msu	31	43	viewed	view	VERB
cord-005350-19za0msu	31	44	as	as	ADP
cord-005350-19za0msu	31	45	approximations	approximation	NOUN
cord-005350-19za0msu	31	46	to	to	ADP
cord-005350-19za0msu	31	47	an	an	DET
cord-005350-19za0msu	31	48	even	even	ADV
cord-005350-19za0msu	31	49	broader	broad	ADJ
cord-005350-19za0msu	31	50	class	class	NOUN
cord-005350-19za0msu	31	51	of	of	ADP
cord-005350-19za0msu	31	52	infectious	infectious	ADJ
cord-005350-19za0msu	31	53	diseases	disease	NOUN
cord-005350-19za0msu	31	54	.	.	PUNCT
cord-005350-19za0msu	32	1	in	in	ADP
cord-005350-19za0msu	32	2	their	their	PRON
cord-005350-19za0msu	32	3	deterministic	deterministic	ADJ
cord-005350-19za0msu	32	4	formulations	formulation	NOUN
cord-005350-19za0msu	32	5	,	,	PUNCT
cord-005350-19za0msu	32	6	these	these	DET
cord-005350-19za0msu	32	7	models	model	NOUN
cord-005350-19za0msu	32	8	are	be	AUX
cord-005350-19za0msu	32	9	characterized	characterize	VERB
cord-005350-19za0msu	32	10	by	by	ADP
cord-005350-19za0msu	32	11	a	a	DET
cord-005350-19za0msu	32	12	transcritical	transcritical	ADJ
cord-005350-19za0msu	32	13	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	32	14	at	at	ADP
cord-005350-19za0msu	32	15	r	r	PROPN
cord-005350-19za0msu	32	16	0	0	NUM
cord-005350-19za0msu	32	17	=	=	SYM
cord-005350-19za0msu	32	18	1	1	NUM
cord-005350-19za0msu	32	19	,	,	PUNCT
cord-005350-19za0msu	32	20	where	where	SCONJ
cord-005350-19za0msu	32	21	the	the	DET
cord-005350-19za0msu	32	22	endemic	endemic	ADJ
cord-005350-19za0msu	32	23	and	and	CCONJ
cord-005350-19za0msu	32	24	disease	disease	NOUN
cord-005350-19za0msu	32	25	-	-	PUNCT
cord-005350-19za0msu	32	26	free	free	ADJ
cord-005350-19za0msu	32	27	steady	steady	ADJ
cord-005350-19za0msu	32	28	states	state	NOUN
cord-005350-19za0msu	32	29	meet	meet	VERB
cord-005350-19za0msu	32	30	and	and	CCONJ
cord-005350-19za0msu	32	31	exchange	exchange	VERB
cord-005350-19za0msu	32	32	stability	stability	NOUN
cord-005350-19za0msu	32	33	.	.	PUNCT
cord-005350-19za0msu	33	1	the	the	DET
cord-005350-19za0msu	33	2	epidemic	epidemic	NOUN
cord-005350-19za0msu	33	3	models	model	NOUN
cord-005350-19za0msu	33	4	we	we	PRON
cord-005350-19za0msu	33	5	investigate	investigate	VERB
cord-005350-19za0msu	33	6	are	be	AUX
cord-005350-19za0msu	33	7	generalizations	generalization	NOUN
cord-005350-19za0msu	33	8	of	of	ADP
cord-005350-19za0msu	33	9	the	the	DET
cord-005350-19za0msu	33	10	closed	closed	ADJ
cord-005350-19za0msu	33	11	population	population	NOUN
cord-005350-19za0msu	33	12	sis	sis	PROPN
cord-005350-19za0msu	33	13	and	and	CCONJ
cord-005350-19za0msu	33	14	sir	sir	PROPN
cord-005350-19za0msu	33	15	models	model	NOUN
cord-005350-19za0msu	33	16	that	that	PRON
cord-005350-19za0msu	33	17	allow	allow	VERB
cord-005350-19za0msu	33	18	for	for	ADP
cord-005350-19za0msu	33	19	immigration	immigration	NOUN
cord-005350-19za0msu	33	20	from	from	ADP
cord-005350-19za0msu	33	21	external	external	ADJ
cord-005350-19za0msu	33	22	sources	source	NOUN
cord-005350-19za0msu	33	23	,	,	PUNCT
cord-005350-19za0msu	33	24	of	of	ADP
cord-005350-19za0msu	33	25	which	which	PRON
cord-005350-19za0msu	33	26	the	the	DET
cord-005350-19za0msu	33	27	more	more	ADV
cord-005350-19za0msu	33	28	familiar	familiar	ADJ
cord-005350-19za0msu	33	29	models	model	NOUN
cord-005350-19za0msu	33	30	without	without	ADP
cord-005350-19za0msu	33	31	immigration	immigration	NOUN
cord-005350-19za0msu	33	32	that	that	PRON
cord-005350-19za0msu	33	33	are	be	AUX
cord-005350-19za0msu	33	34	characterized	characterize	VERB
cord-005350-19za0msu	33	35	by	by	ADP
cord-005350-19za0msu	33	36	a	a	DET
cord-005350-19za0msu	33	37	transcritical	transcritical	ADJ
cord-005350-19za0msu	33	38	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	33	39	are	be	AUX
cord-005350-19za0msu	33	40	special	special	ADJ
cord-005350-19za0msu	33	41	cases	case	NOUN
cord-005350-19za0msu	33	42	.	.	PUNCT
cord-005350-19za0msu	34	1	to	to	PART
cord-005350-19za0msu	34	2	appropriately	appropriately	ADV
cord-005350-19za0msu	34	3	model	model	VERB
cord-005350-19za0msu	34	4	the	the	DET
cord-005350-19za0msu	34	5	slowly	slowly	ADV
cord-005350-19za0msu	34	6	forced	force	VERB
cord-005350-19za0msu	34	7	dynamical	dynamical	ADJ
cord-005350-19za0msu	34	8	system	system	NOUN
cord-005350-19za0msu	34	9	,	,	PUNCT
cord-005350-19za0msu	34	10	we	we	PRON
cord-005350-19za0msu	34	11	first	first	ADV
cord-005350-19za0msu	34	12	develop	develop	VERB
cord-005350-19za0msu	34	13	mean	mean	ADJ
cord-005350-19za0msu	34	14	field	field	NOUN
cord-005350-19za0msu	34	15	theory	theory	NOUN
cord-005350-19za0msu	34	16	for	for	ADP
cord-005350-19za0msu	34	17	the	the	DET
cord-005350-19za0msu	34	18	nonstationary	nonstationary	ADJ
cord-005350-19za0msu	34	19	systems	system	NOUN
cord-005350-19za0msu	34	20	gradually	gradually	ADV
cord-005350-19za0msu	34	21	approaching	approach	VERB
cord-005350-19za0msu	34	22	a	a	DET
cord-005350-19za0msu	34	23	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	34	24	.	.	PUNCT
cord-005350-19za0msu	35	1	we	we	PRON
cord-005350-19za0msu	35	2	develop	develop	VERB
cord-005350-19za0msu	35	3	the	the	DET
cord-005350-19za0msu	35	4	mean	mean	ADJ
cord-005350-19za0msu	35	5	field	field	NOUN
cord-005350-19za0msu	35	6	theory	theory	NOUN
cord-005350-19za0msu	35	7	here	here	ADV
cord-005350-19za0msu	35	8	because	because	SCONJ
cord-005350-19za0msu	35	9	slowly	slowly	ADV
cord-005350-19za0msu	35	10	forced	force	VERB
cord-005350-19za0msu	35	11	dynamical	dynamical	ADJ
cord-005350-19za0msu	35	12	systems	system	NOUN
cord-005350-19za0msu	35	13	approaching	approach	VERB
cord-005350-19za0msu	35	14	a	a	DET
cord-005350-19za0msu	35	15	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	35	16	have	have	AUX
cord-005350-19za0msu	35	17	rarely	rarely	ADV
cord-005350-19za0msu	35	18	been	be	AUX
cord-005350-19za0msu	35	19	investigated	investigate	VERB
cord-005350-19za0msu	35	20	(	(	PUNCT
cord-005350-19za0msu	35	21	but	but	CCONJ
cord-005350-19za0msu	35	22	see	see	VERB
cord-005350-19za0msu	35	23	kuehn	kuehn	NOUN
cord-005350-19za0msu	35	24	(	(	PUNCT
cord-005350-19za0msu	35	25	2011	2011	NUM
cord-005350-19za0msu	35	26	)	)	PUNCT
cord-005350-19za0msu	35	27	)	)	PUNCT
cord-005350-19za0msu	35	28	.	.	PUNCT
cord-005350-19za0msu	36	1	we	we	PRON
cord-005350-19za0msu	36	2	then	then	ADV
cord-005350-19za0msu	36	3	develop	develop	VERB
cord-005350-19za0msu	36	4	the	the	DET
cord-005350-19za0msu	36	5	full	full	ADJ
cord-005350-19za0msu	36	6	stochastic	stochastic	ADJ
cord-005350-19za0msu	36	7	description	description	NOUN
cord-005350-19za0msu	36	8	in	in	ADP
cord-005350-19za0msu	36	9	terms	term	NOUN
cord-005350-19za0msu	36	10	of	of	ADP
cord-005350-19za0msu	36	11	a	a	DET
cord-005350-19za0msu	36	12	master	master	NOUN
cord-005350-19za0msu	36	13	equation	equation	NOUN
cord-005350-19za0msu	36	14	.	.	PUNCT
cord-005350-19za0msu	37	1	our	our	PRON
cord-005350-19za0msu	37	2	strategy	strategy	NOUN
cord-005350-19za0msu	37	3	is	be	AUX
cord-005350-19za0msu	37	4	to	to	PART
cord-005350-19za0msu	37	5	use	use	VERB
cord-005350-19za0msu	37	6	the	the	DET
cord-005350-19za0msu	37	7	van	van	PROPN
cord-005350-19za0msu	37	8	kampen	kampen	NOUN
cord-005350-19za0msu	37	9	system	system	NOUN
cord-005350-19za0msu	37	10	size	size	NOUN
cord-005350-19za0msu	37	11	expansion	expansion	NOUN
cord-005350-19za0msu	37	12	to	to	PART
cord-005350-19za0msu	37	13	separate	separate	VERB
cord-005350-19za0msu	37	14	the	the	DET
cord-005350-19za0msu	37	15	mean	mean	ADJ
cord-005350-19za0msu	37	16	field	field	NOUN
cord-005350-19za0msu	37	17	dynamics	dynamic	NOUN
cord-005350-19za0msu	37	18	from	from	ADP
cord-005350-19za0msu	37	19	the	the	DET
cord-005350-19za0msu	37	20	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	37	21	induced	induce	VERB
cord-005350-19za0msu	37	22	by	by	ADP
cord-005350-19za0msu	37	23	demographic	demographic	ADJ
cord-005350-19za0msu	37	24	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	37	25	.	.	PUNCT
cord-005350-19za0msu	38	1	these	these	DET
cord-005350-19za0msu	38	2	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	38	3	are	be	AUX
cord-005350-19za0msu	38	4	described	describe	VERB
cord-005350-19za0msu	38	5	by	by	ADP
cord-005350-19za0msu	38	6	a	a	DET
cord-005350-19za0msu	38	7	fokker	fokker	NOUN
cord-005350-19za0msu	38	8	-	-	PUNCT
cord-005350-19za0msu	38	9	planck	planck	NOUN
cord-005350-19za0msu	38	10	equation	equation	NOUN
cord-005350-19za0msu	38	11	,	,	PUNCT
cord-005350-19za0msu	38	12	from	from	ADP
cord-005350-19za0msu	38	13	which	which	PRON
cord-005350-19za0msu	38	14	the	the	DET
cord-005350-19za0msu	38	15	power	power	NOUN
cord-005350-19za0msu	38	16	spectrum	spectrum	NOUN
cord-005350-19za0msu	38	17	,	,	PUNCT
cord-005350-19za0msu	38	18	variance	variance	NOUN
cord-005350-19za0msu	38	19	,	,	PUNCT
cord-005350-19za0msu	38	20	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	38	21	,	,	PUNCT
cord-005350-19za0msu	38	22	and	and	CCONJ
cord-005350-19za0msu	38	23	coefficient	coefficient	NOUN
cord-005350-19za0msu	38	24	of	of	ADP
cord-005350-19za0msu	38	25	variation	variation	NOUN
cord-005350-19za0msu	38	26	may	may	AUX
cord-005350-19za0msu	38	27	be	be	AUX
cord-005350-19za0msu	38	28	analytically	analytically	ADV
cord-005350-19za0msu	38	29	obtained	obtain	VERB
cord-005350-19za0msu	38	30	.	.	PUNCT
cord-005350-19za0msu	39	1	our	our	PRON
cord-005350-19za0msu	39	2	main	main	ADJ
cord-005350-19za0msu	39	3	result	result	NOUN
cord-005350-19za0msu	39	4	is	be	AUX
cord-005350-19za0msu	39	5	contained	contain	VERB
cord-005350-19za0msu	39	6	in	in	ADP
cord-005350-19za0msu	39	7	table	table	NOUN
cord-005350-19za0msu	39	8	4	4	NUM
cord-005350-19za0msu	39	9	,	,	PUNCT
cord-005350-19za0msu	39	10	which	which	PRON
cord-005350-19za0msu	39	11	provides	provide	VERB
cord-005350-19za0msu	39	12	formulas	formula	NOUN
cord-005350-19za0msu	39	13	expressing	express	VERB
cord-005350-19za0msu	39	14	these	these	DET
cord-005350-19za0msu	39	15	theoretical	theoretical	ADJ
cord-005350-19za0msu	39	16	predictions	prediction	NOUN
cord-005350-19za0msu	39	17	in	in	ADP
cord-005350-19za0msu	39	18	terms	term	NOUN
cord-005350-19za0msu	39	19	of	of	ADP
cord-005350-19za0msu	39	20	the	the	DET
cord-005350-19za0msu	39	21	dominant	dominant	ADJ
cord-005350-19za0msu	39	22	eigenvalue	eigenvalue	NOUN
cord-005350-19za0msu	39	23	of	of	ADP
cord-005350-19za0msu	39	24	the	the	DET
cord-005350-19za0msu	39	25	mean	mean	ADJ
cord-005350-19za0msu	39	26	field	field	NOUN
cord-005350-19za0msu	39	27	solutions	solution	NOUN
cord-005350-19za0msu	39	28	,	,	PUNCT
cord-005350-19za0msu	39	29	which	which	PRON
cord-005350-19za0msu	39	30	goes	go	VERB
cord-005350-19za0msu	39	31	to	to	ADP
cord-005350-19za0msu	39	32	zero	zero	NUM
cord-005350-19za0msu	39	33	as	as	SCONJ
cord-005350-19za0msu	39	34	the	the	DET
cord-005350-19za0msu	39	35	system	system	NOUN
cord-005350-19za0msu	39	36	approaches	approach	VERB
cord-005350-19za0msu	39	37	the	the	DET
cord-005350-19za0msu	39	38	critical	critical	ADJ
cord-005350-19za0msu	39	39	transition	transition	NOUN
cord-005350-19za0msu	39	40	.	.	PUNCT
cord-005350-19za0msu	40	1	hence	hence	ADV
cord-005350-19za0msu	40	2	,	,	PUNCT
cord-005350-19za0msu	40	3	these	these	DET
cord-005350-19za0msu	40	4	formulas	formula	NOUN
cord-005350-19za0msu	40	5	express	express	VERB
cord-005350-19za0msu	40	6	how	how	SCONJ
cord-005350-19za0msu	40	7	epidemiologically	epidemiologically	ADV
cord-005350-19za0msu	40	8	measurable	measurable	ADJ
cord-005350-19za0msu	40	9	quantities	quantity	NOUN
cord-005350-19za0msu	40	10	are	be	AUX
cord-005350-19za0msu	40	11	expected	expect	VERB
cord-005350-19za0msu	40	12	to	to	PART
cord-005350-19za0msu	40	13	change	change	VERB
cord-005350-19za0msu	40	14	as	as	SCONJ
cord-005350-19za0msu	40	15	the	the	DET
cord-005350-19za0msu	40	16	system	system	NOUN
cord-005350-19za0msu	40	17	approaches	approach	VERB
cord-005350-19za0msu	40	18	the	the	DET
cord-005350-19za0msu	40	19	critical	critical	ADJ
cord-005350-19za0msu	40	20	transition	transition	NOUN
cord-005350-19za0msu	40	21	.	.	PUNCT
cord-005350-19za0msu	41	1	a	a	DET
cord-005350-19za0msu	41	2	number	number	NOUN
cord-005350-19za0msu	41	3	of	of	ADP
cord-005350-19za0msu	41	4	approximations	approximation	NOUN
cord-005350-19za0msu	41	5	are	be	AUX
cord-005350-19za0msu	41	6	introduced	introduce	VERB
cord-005350-19za0msu	41	7	in	in	ADP
cord-005350-19za0msu	41	8	the	the	DET
cord-005350-19za0msu	41	9	derivation	derivation	NOUN
cord-005350-19za0msu	41	10	of	of	ADP
cord-005350-19za0msu	41	11	these	these	DET
cord-005350-19za0msu	41	12	formulas	formula	NOUN
cord-005350-19za0msu	41	13	,	,	PUNCT
cord-005350-19za0msu	41	14	including	include	VERB
cord-005350-19za0msu	41	15	separation	separation	NOUN
cord-005350-19za0msu	41	16	of	of	ADP
cord-005350-19za0msu	41	17	time	time	NOUN
cord-005350-19za0msu	41	18	scales	scale	NOUN
cord-005350-19za0msu	41	19	,	,	PUNCT
cord-005350-19za0msu	41	20	second	second	ADJ
cord-005350-19za0msu	41	21	-	-	PUNCT
cord-005350-19za0msu	41	22	order	order	NOUN
cord-005350-19za0msu	41	23	description	description	NOUN
cord-005350-19za0msu	41	24	of	of	ADP
cord-005350-19za0msu	41	25	the	the	DET
cord-005350-19za0msu	41	26	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	41	27	,	,	PUNCT
cord-005350-19za0msu	41	28	and	and	CCONJ
cord-005350-19za0msu	41	29	continuum	continuum	PROPN
cord-005350-19za0msu	41	30	representation	representation	NOUN
cord-005350-19za0msu	41	31	of	of	ADP
cord-005350-19za0msu	41	32	the	the	DET
cord-005350-19za0msu	41	33	state	state	NOUN
cord-005350-19za0msu	41	34	space	space	NOUN
cord-005350-19za0msu	41	35	.	.	PUNCT
cord-005350-19za0msu	42	1	we	we	PRON
cord-005350-19za0msu	42	2	,	,	PUNCT
cord-005350-19za0msu	42	3	therefore	therefore	ADV
cord-005350-19za0msu	42	4	,	,	PUNCT
cord-005350-19za0msu	42	5	performed	perform	VERB
cord-005350-19za0msu	42	6	simulations	simulation	NOUN
cord-005350-19za0msu	42	7	to	to	PART
cord-005350-19za0msu	42	8	study	study	VERB
cord-005350-19za0msu	42	9	the	the	DET
cord-005350-19za0msu	42	10	possible	possible	ADJ
cord-005350-19za0msu	42	11	detrimental	detrimental	ADJ
cord-005350-19za0msu	42	12	effects	effect	NOUN
cord-005350-19za0msu	42	13	of	of	ADP
cord-005350-19za0msu	42	14	these	these	DET
cord-005350-19za0msu	42	15	approximations	approximation	NOUN
cord-005350-19za0msu	42	16	.	.	PUNCT
cord-005350-19za0msu	43	1	specifically	specifically	ADV
cord-005350-19za0msu	43	2	,	,	PUNCT
cord-005350-19za0msu	43	3	we	we	PRON
cord-005350-19za0msu	43	4	examined	examine	VERB
cord-005350-19za0msu	43	5	the	the	DET
cord-005350-19za0msu	43	6	agreement	agreement	NOUN
cord-005350-19za0msu	43	7	between	between	ADP
cord-005350-19za0msu	43	8	the	the	DET
cord-005350-19za0msu	43	9	theoretical	theoretical	ADJ
cord-005350-19za0msu	43	10	predictions	prediction	NOUN
cord-005350-19za0msu	43	11	and	and	CCONJ
cord-005350-19za0msu	43	12	"	"	PUNCT
cord-005350-19za0msu	43	13	measured	measure	VERB
cord-005350-19za0msu	43	14	"	"	PUNCT
cord-005350-19za0msu	43	15	statistics	statistic	NOUN
cord-005350-19za0msu	43	16	obtained	obtain	VERB
cord-005350-19za0msu	43	17	in	in	ADP
cord-005350-19za0msu	43	18	a	a	DET
cord-005350-19za0msu	43	19	moving	move	VERB
cord-005350-19za0msu	43	20	window	window	NOUN
cord-005350-19za0msu	43	21	,	,	PUNCT
cord-005350-19za0msu	43	22	as	as	SCONJ
cord-005350-19za0msu	43	23	one	one	PRON
cord-005350-19za0msu	43	24	would	would	AUX
cord-005350-19za0msu	43	25	analyze	analyze	VERB
cord-005350-19za0msu	43	26	real	real	ADJ
cord-005350-19za0msu	43	27	-	-	PUNCT
cord-005350-19za0msu	43	28	world	world	NOUN
cord-005350-19za0msu	43	29	data	datum	NOUN
cord-005350-19za0msu	43	30	,	,	PUNCT
cord-005350-19za0msu	43	31	in	in	ADP
cord-005350-19za0msu	43	32	both	both	DET
cord-005350-19za0msu	43	33	discrete	discrete	ADJ
cord-005350-19za0msu	43	34	state	state	NOUN
cord-005350-19za0msu	43	35	-	-	PUNCT
cord-005350-19za0msu	43	36	space	space	NOUN
cord-005350-19za0msu	43	37	and	and	CCONJ
cord-005350-19za0msu	43	38	continuous	continuous	ADJ
cord-005350-19za0msu	43	39	state	state	NOUN
cord-005350-19za0msu	43	40	-	-	PUNCT
cord-005350-19za0msu	43	41	space	space	NOUN
cord-005350-19za0msu	43	42	simulations	simulation	NOUN
cord-005350-19za0msu	43	43	.	.	PUNCT
cord-005350-19za0msu	44	1	we	we	PRON
cord-005350-19za0msu	44	2	show	show	VERB
cord-005350-19za0msu	44	3	that	that	SCONJ
cord-005350-19za0msu	44	4	the	the	DET
cord-005350-19za0msu	44	5	analytical	analytical	ADJ
cord-005350-19za0msu	44	6	expressions	expression	NOUN
cord-005350-19za0msu	44	7	are	be	AUX
cord-005350-19za0msu	44	8	robust	robust	ADJ
cord-005350-19za0msu	44	9	,	,	PUNCT
cord-005350-19za0msu	44	10	provided	provide	VERB
cord-005350-19za0msu	44	11	the	the	DET
cord-005350-19za0msu	44	12	conditions	condition	NOUN
cord-005350-19za0msu	44	13	of	of	ADP
cord-005350-19za0msu	44	14	fast	fast	ADJ
cord-005350-19za0msu	44	15	-	-	PUNCT
cord-005350-19za0msu	44	16	slow	slow	ADJ
cord-005350-19za0msu	44	17	systems	system	NOUN
cord-005350-19za0msu	44	18	are	be	AUX
cord-005350-19za0msu	44	19	met	meet	VERB
cord-005350-19za0msu	44	20	.	.	PUNCT
cord-005350-19za0msu	45	1	these	these	DET
cord-005350-19za0msu	45	2	results	result	NOUN
cord-005350-19za0msu	45	3	demonstrate	demonstrate	VERB
cord-005350-19za0msu	45	4	that	that	SCONJ
cord-005350-19za0msu	45	5	the	the	DET
cord-005350-19za0msu	45	6	critical	critical	ADJ
cord-005350-19za0msu	45	7	transitions	transition	NOUN
cord-005350-19za0msu	45	8	associated	associate	VERB
cord-005350-19za0msu	45	9	with	with	ADP
cord-005350-19za0msu	45	10	disease	disease	NOUN
cord-005350-19za0msu	45	11	emergence	emergence	NOUN
cord-005350-19za0msu	45	12	and	and	CCONJ
cord-005350-19za0msu	45	13	elimination	elimination	NOUN
cord-005350-19za0msu	45	14	may	may	AUX
cord-005350-19za0msu	45	15	be	be	AUX
cord-005350-19za0msu	45	16	anticipated	anticipate	VERB
cord-005350-19za0msu	45	17	even	even	ADV
cord-005350-19za0msu	45	18	in	in	ADP
cord-005350-19za0msu	45	19	the	the	DET
cord-005350-19za0msu	45	20	absence	absence	NOUN
cord-005350-19za0msu	45	21	of	of	ADP
cord-005350-19za0msu	45	22	a	a	DET
cord-005350-19za0msu	45	23	detailed	detailed	ADJ
cord-005350-19za0msu	45	24	understanding	understanding	NOUN
cord-005350-19za0msu	45	25	of	of	ADP
cord-005350-19za0msu	45	26	their	their	PRON
cord-005350-19za0msu	45	27	underlying	underlying	ADJ
cord-005350-19za0msu	45	28	causes	cause	NOUN
cord-005350-19za0msu	45	29	.	.	PUNCT
cord-005350-19za0msu	46	1	we	we	PRON
cord-005350-19za0msu	46	2	first	first	ADV
cord-005350-19za0msu	46	3	consider	consider	VERB
cord-005350-19za0msu	46	4	a	a	DET
cord-005350-19za0msu	46	5	general	general	ADJ
cord-005350-19za0msu	46	6	sis	sis	NOUN
cord-005350-19za0msu	46	7	model	model	NOUN
cord-005350-19za0msu	46	8	that	that	PRON
cord-005350-19za0msu	46	9	allows	allow	VERB
cord-005350-19za0msu	46	10	for	for	ADP
cord-005350-19za0msu	46	11	immigration	immigration	NOUN
cord-005350-19za0msu	46	12	.	.	PUNCT
cord-005350-19za0msu	47	1	denoting	denote	VERB
cord-005350-19za0msu	47	2	the	the	DET
cord-005350-19za0msu	47	3	proportions	proportion	NOUN
cord-005350-19za0msu	47	4	of	of	ADP
cord-005350-19za0msu	47	5	susceptible	susceptible	ADJ
cord-005350-19za0msu	47	6	and	and	CCONJ
cord-005350-19za0msu	47	7	infectious	infectious	ADJ
cord-005350-19za0msu	47	8	populations	population	NOUN
cord-005350-19za0msu	47	9	by	by	ADP
cord-005350-19za0msu	47	10	x(t	x(t	PROPN
cord-005350-19za0msu	47	11	)	)	PUNCT
cord-005350-19za0msu	47	12	and	and	CCONJ
cord-005350-19za0msu	47	13	y(t	y(t	PROPN
cord-005350-19za0msu	47	14	)	)	PUNCT
cord-005350-19za0msu	47	15	,	,	PUNCT
cord-005350-19za0msu	47	16	respectively	respectively	ADV
cord-005350-19za0msu	47	17	,	,	PUNCT
cord-005350-19za0msu	47	18	the	the	DET
cord-005350-19za0msu	47	19	sis	sis	NOUN
cord-005350-19za0msu	47	20	model	model	NOUN
cord-005350-19za0msu	47	21	in	in	ADP
cord-005350-19za0msu	47	22	a	a	DET
cord-005350-19za0msu	47	23	population	population	NOUN
cord-005350-19za0msu	47	24	of	of	ADP
cord-005350-19za0msu	47	25	size	size	NOUN
cord-005350-19za0msu	47	26	n	n	ADV
cord-005350-19za0msu	47	27	is	be	AUX
cord-005350-19za0msu	47	28	given	give	VERB
cord-005350-19za0msu	47	29	bẏ	bẏ	NOUN
cord-005350-19za0msu	47	30	where	where	SCONJ
cord-005350-19za0msu	47	31	β	β	PROPN
cord-005350-19za0msu	47	32	is	be	AUX
cord-005350-19za0msu	47	33	the	the	DET
cord-005350-19za0msu	47	34	the	the	DET
cord-005350-19za0msu	47	35	transmission	transmission	NOUN
cord-005350-19za0msu	47	36	rate	rate	NOUN
cord-005350-19za0msu	47	37	,	,	PUNCT
cord-005350-19za0msu	47	38	γ	γ	PRON
cord-005350-19za0msu	47	39	is	be	AUX
cord-005350-19za0msu	47	40	the	the	DET
cord-005350-19za0msu	47	41	rate	rate	NOUN
cord-005350-19za0msu	47	42	of	of	ADP
cord-005350-19za0msu	47	43	transfer	transfer	NOUN
cord-005350-19za0msu	47	44	from	from	ADP
cord-005350-19za0msu	47	45	the	the	DET
cord-005350-19za0msu	47	46	infectious	infectious	ADJ
cord-005350-19za0msu	47	47	class	class	NOUN
cord-005350-19za0msu	47	48	to	to	ADP
cord-005350-19za0msu	47	49	the	the	DET
cord-005350-19za0msu	47	50	susceptible	susceptible	ADJ
cord-005350-19za0msu	47	51	class	class	NOUN
cord-005350-19za0msu	47	52	,	,	PUNCT
cord-005350-19za0msu	47	53	and	and	CCONJ
cord-005350-19za0msu	47	54	a	a	DET
cord-005350-19za0msu	47	55	dot	dot	NOUN
cord-005350-19za0msu	47	56	denotes	denote	VERB
cord-005350-19za0msu	47	57	the	the	DET
cord-005350-19za0msu	47	58	time	time	NOUN
cord-005350-19za0msu	47	59	derivative	derivative	ADJ
cord-005350-19za0msu	47	60	.	.	PUNCT
cord-005350-19za0msu	48	1	the	the	DET
cord-005350-19za0msu	48	2	model	model	NOUN
cord-005350-19za0msu	48	3	assumes	assume	VERB
cord-005350-19za0msu	48	4	that	that	SCONJ
cord-005350-19za0msu	48	5	infection	infection	NOUN
cord-005350-19za0msu	48	6	may	may	AUX
cord-005350-19za0msu	48	7	also	also	ADV
cord-005350-19za0msu	48	8	occur	occur	VERB
cord-005350-19za0msu	48	9	through	through	ADP
cord-005350-19za0msu	48	10	contact	contact	NOUN
cord-005350-19za0msu	48	11	with	with	ADP
cord-005350-19za0msu	48	12	a	a	DET
cord-005350-19za0msu	48	13	trickle	trickle	NOUN
cord-005350-19za0msu	48	14	of	of	ADP
cord-005350-19za0msu	48	15	infectious	infectious	ADJ
cord-005350-19za0msu	48	16	imports	import	NOUN
cord-005350-19za0msu	48	17	at	at	ADP
cord-005350-19za0msu	48	18	a	a	DET
cord-005350-19za0msu	48	19	rate	rate	NOUN
cord-005350-19za0msu	48	20	η	η	NOUN
cord-005350-19za0msu	48	21	,	,	PUNCT
cord-005350-19za0msu	48	22	either	either	CCONJ
cord-005350-19za0msu	48	23	by	by	ADP
cord-005350-19za0msu	48	24	susceptibles	susceptible	NOUN
cord-005350-19za0msu	48	25	briefly	briefly	ADV
cord-005350-19za0msu	48	26	leaving	leave	VERB
cord-005350-19za0msu	48	27	the	the	DET
cord-005350-19za0msu	48	28	population	population	NOUN
cord-005350-19za0msu	48	29	and	and	CCONJ
cord-005350-19za0msu	48	30	making	make	VERB
cord-005350-19za0msu	48	31	contact	contact	NOUN
cord-005350-19za0msu	48	32	with	with	ADP
cord-005350-19za0msu	48	33	infectious	infectious	ADJ
cord-005350-19za0msu	48	34	individuals	individual	NOUN
cord-005350-19za0msu	48	35	located	locate	VERB
cord-005350-19za0msu	48	36	elsewhere	elsewhere	ADV
cord-005350-19za0msu	48	37	or	or	CCONJ
cord-005350-19za0msu	48	38	through	through	ADP
cord-005350-19za0msu	48	39	infectious	infectious	ADJ
cord-005350-19za0msu	48	40	visitors	visitor	NOUN
cord-005350-19za0msu	48	41	briefly	briefly	ADV
cord-005350-19za0msu	48	42	entering	enter	VERB
cord-005350-19za0msu	48	43	the	the	DET
cord-005350-19za0msu	48	44	population	population	NOUN
cord-005350-19za0msu	48	45	and	and	CCONJ
cord-005350-19za0msu	48	46	making	make	VERB
cord-005350-19za0msu	48	47	contact	contact	NOUN
cord-005350-19za0msu	48	48	with	with	ADP
cord-005350-19za0msu	48	49	susceptibles	susceptible	NOUN
cord-005350-19za0msu	48	50	,	,	PUNCT
cord-005350-19za0msu	48	51	so	so	SCONJ
cord-005350-19za0msu	48	52	that	that	SCONJ
cord-005350-19za0msu	48	53	the	the	DET
cord-005350-19za0msu	48	54	total	total	ADJ
cord-005350-19za0msu	48	55	force	force	NOUN
cord-005350-19za0msu	48	56	of	of	ADP
cord-005350-19za0msu	48	57	infection	infection	NOUN
cord-005350-19za0msu	48	58	is	be	AUX
cord-005350-19za0msu	48	59	=	=	X
cord-005350-19za0msu	48	60	βy	βy	NOUN
cord-005350-19za0msu	48	61	+	+	CCONJ
cord-005350-19za0msu	48	62	η	η	NOUN
cord-005350-19za0msu	48	63	.	.	PUNCT
cord-005350-19za0msu	49	1	since	since	SCONJ
cord-005350-19za0msu	49	2	the	the	DET
cord-005350-19za0msu	49	3	population	population	NOUN
cord-005350-19za0msu	49	4	size	size	NOUN
cord-005350-19za0msu	49	5	n	n	ADV
cord-005350-19za0msu	49	6	is	be	AUX
cord-005350-19za0msu	49	7	constant	constant	ADJ
cord-005350-19za0msu	49	8	,	,	PUNCT
cord-005350-19za0msu	49	9	i.e.	i.e.	X
cord-005350-19za0msu	49	10	,	,	PUNCT
cord-005350-19za0msu	49	11	x	x	PROPN
cord-005350-19za0msu	49	12	+	+	PUNCT
cord-005350-19za0msu	49	13	y	y	PROPN
cord-005350-19za0msu	49	14	=	=	PROPN
cord-005350-19za0msu	49	15	1	1	NUM
cord-005350-19za0msu	49	16	,	,	PUNCT
cord-005350-19za0msu	49	17	the	the	DET
cord-005350-19za0msu	49	18	sis	sis	NOUN
cord-005350-19za0msu	49	19	model	model	NOUN
cord-005350-19za0msu	49	20	may	may	AUX
cord-005350-19za0msu	49	21	be	be	AUX
cord-005350-19za0msu	49	22	described	describe	VERB
cord-005350-19za0msu	49	23	by	by	ADP
cord-005350-19za0msu	49	24	a	a	DET
cord-005350-19za0msu	49	25	single	single	ADJ
cord-005350-19za0msu	49	26	equation	equation	NOUN
cord-005350-19za0msu	49	27	,	,	PUNCT
cord-005350-19za0msu	49	28	we	we	PRON
cord-005350-19za0msu	49	29	note	note	VERB
cord-005350-19za0msu	49	30	that	that	PRON
cord-005350-19za0msu	49	31	eq	eq	PROPN
cord-005350-19za0msu	49	32	.	.	PUNCT
cord-005350-19za0msu	49	33	(	(	PUNCT
cord-005350-19za0msu	49	34	2	2	NUM
cord-005350-19za0msu	49	35	)	)	PUNCT
cord-005350-19za0msu	49	36	can	can	AUX
cord-005350-19za0msu	49	37	encompass	encompass	VERB
cord-005350-19za0msu	49	38	a	a	DET
cord-005350-19za0msu	49	39	variety	variety	NOUN
cord-005350-19za0msu	49	40	of	of	ADP
cord-005350-19za0msu	49	41	infectious	infectious	ADJ
cord-005350-19za0msu	49	42	disease	disease	NOUN
cord-005350-19za0msu	49	43	systems	system	NOUN
cord-005350-19za0msu	49	44	,	,	PUNCT
cord-005350-19za0msu	49	45	including	include	VERB
cord-005350-19za0msu	49	46	closed	closed	ADJ
cord-005350-19za0msu	49	47	population	population	NOUN
cord-005350-19za0msu	49	48	si	si	PROPN
cord-005350-19za0msu	49	49	models	model	NOUN
cord-005350-19za0msu	49	50	.	.	PUNCT
cord-005350-19za0msu	50	1	thus	thus	ADV
cord-005350-19za0msu	50	2	,	,	PUNCT
cord-005350-19za0msu	50	3	the	the	DET
cord-005350-19za0msu	50	4	system	system	NOUN
cord-005350-19za0msu	50	5	can	can	AUX
cord-005350-19za0msu	50	6	be	be	AUX
cord-005350-19za0msu	50	7	used	use	VERB
cord-005350-19za0msu	50	8	to	to	PART
cord-005350-19za0msu	50	9	model	model	VERB
cord-005350-19za0msu	50	10	diseases	disease	NOUN
cord-005350-19za0msu	50	11	that	that	PRON
cord-005350-19za0msu	50	12	confer	confer	VERB
cord-005350-19za0msu	50	13	no	no	DET
cord-005350-19za0msu	50	14	long	long	ADV
cord-005350-19za0msu	50	15	-	-	PUNCT
cord-005350-19za0msu	50	16	lasting	last	VERB
cord-005350-19za0msu	50	17	immunity	immunity	NOUN
cord-005350-19za0msu	50	18	,	,	PUNCT
cord-005350-19za0msu	50	19	e.g.	e.g.	ADV
cord-005350-19za0msu	50	20	,	,	PUNCT
cord-005350-19za0msu	50	21	sexually	sexually	ADV
cord-005350-19za0msu	50	22	transmitted	transmit	VERB
cord-005350-19za0msu	50	23	diseases	disease	NOUN
cord-005350-19za0msu	50	24	or	or	CCONJ
cord-005350-19za0msu	50	25	acute	acute	ADJ
cord-005350-19za0msu	50	26	infections	infection	NOUN
cord-005350-19za0msu	50	27	such	such	ADJ
cord-005350-19za0msu	50	28	as	as	ADP
cord-005350-19za0msu	50	29	influenza	influenza	NOUN
cord-005350-19za0msu	50	30	or	or	CCONJ
cord-005350-19za0msu	50	31	diseases	disease	NOUN
cord-005350-19za0msu	50	32	that	that	PRON
cord-005350-19za0msu	50	33	are	be	AUX
cord-005350-19za0msu	50	34	fatal	fatal	ADJ
cord-005350-19za0msu	50	35	.	.	PUNCT
cord-005350-19za0msu	51	1	if	if	SCONJ
cord-005350-19za0msu	51	2	η	η	X
cord-005350-19za0msu	51	3	=	=	NOUN
cord-005350-19za0msu	51	4	0	0	NUM
cord-005350-19za0msu	51	5	,	,	PUNCT
cord-005350-19za0msu	51	6	eq	eq	PROPN
cord-005350-19za0msu	51	7	.	.	PUNCT
cord-005350-19za0msu	51	8	(	(	PUNCT
cord-005350-19za0msu	51	9	2	2	NUM
cord-005350-19za0msu	51	10	)	)	PUNCT
cord-005350-19za0msu	51	11	has	have	VERB
cord-005350-19za0msu	51	12	two	two	NUM
cord-005350-19za0msu	51	13	equilibria	equilibrium	NOUN
cord-005350-19za0msu	51	14	:	:	PUNCT
cord-005350-19za0msu	51	15	the	the	DET
cord-005350-19za0msu	51	16	disease	disease	NOUN
cord-005350-19za0msu	51	17	-	-	PUNCT
cord-005350-19za0msu	51	18	free	free	ADJ
cord-005350-19za0msu	51	19	equilibrium	equilibrium	PROPN
cord-005350-19za0msu	51	20	y	y	PROPN
cord-005350-19za0msu	51	21	0	0	NUM
cord-005350-19za0msu	51	22	=	=	SYM
cord-005350-19za0msu	51	23	0	0	NUM
cord-005350-19za0msu	51	24	and	and	CCONJ
cord-005350-19za0msu	51	25	the	the	DET
cord-005350-19za0msu	51	26	endemic	endemic	PROPN
cord-005350-19za0msu	51	27	equilibrium	equilibrium	PROPN
cord-005350-19za0msu	51	28	y	y	PROPN
cord-005350-19za0msu	51	29	*	*	PUNCT
cord-005350-19za0msu	51	30	=	=	NOUN
cord-005350-19za0msu	51	31	(	(	PUNCT
cord-005350-19za0msu	51	32	1	1	NUM
cord-005350-19za0msu	51	33	−	−	SYM
cord-005350-19za0msu	51	34	1	1	NUM
cord-005350-19za0msu	51	35	/	/	SYM
cord-005350-19za0msu	51	36	r	r	NOUN
cord-005350-19za0msu	51	37	0	0	NUM
cord-005350-19za0msu	51	38	)	)	PUNCT
cord-005350-19za0msu	51	39	,	,	PUNCT
cord-005350-19za0msu	51	40	where	where	SCONJ
cord-005350-19za0msu	51	41	r	r	NOUN
cord-005350-19za0msu	51	42	0	0	PUNCT
cord-005350-19za0msu	51	43	=	=	NOUN
cord-005350-19za0msu	51	44	β	β	NOUN
cord-005350-19za0msu	51	45	/	/	SYM
cord-005350-19za0msu	51	46	γ	γ	X
cord-005350-19za0msu	51	47	denotes	denote	VERB
cord-005350-19za0msu	51	48	the	the	DET
cord-005350-19za0msu	51	49	basic	basic	ADJ
cord-005350-19za0msu	51	50	reproduction	reproduction	NOUN
cord-005350-19za0msu	51	51	number	number	NOUN
cord-005350-19za0msu	51	52	.	.	PUNCT
cord-005350-19za0msu	52	1	when	when	SCONJ
cord-005350-19za0msu	52	2	r	r	NOUN
cord-005350-19za0msu	52	3	0	0	PUNCT
cord-005350-19za0msu	52	4	>	>	SYM
cord-005350-19za0msu	52	5	1	1	NUM
cord-005350-19za0msu	52	6	,	,	PUNCT
cord-005350-19za0msu	52	7	the	the	DET
cord-005350-19za0msu	52	8	infection	infection	NOUN
cord-005350-19za0msu	52	9	can	can	AUX
cord-005350-19za0msu	52	10	persist	persist	VERB
cord-005350-19za0msu	52	11	,	,	PUNCT
cord-005350-19za0msu	52	12	but	but	CCONJ
cord-005350-19za0msu	52	13	if	if	SCONJ
cord-005350-19za0msu	52	14	r	r	NOUN
cord-005350-19za0msu	52	15	0	0	NUM
cord-005350-19za0msu	52	16	<	<	X
cord-005350-19za0msu	52	17	1	1	NUM
cord-005350-19za0msu	52	18	,	,	PUNCT
cord-005350-19za0msu	52	19	then	then	ADV
cord-005350-19za0msu	52	20	the	the	DET
cord-005350-19za0msu	52	21	infection	infection	NOUN
cord-005350-19za0msu	52	22	dies	die	VERB
cord-005350-19za0msu	52	23	out	out	ADP
cord-005350-19za0msu	52	24	.	.	PUNCT
cord-005350-19za0msu	53	1	the	the	DET
cord-005350-19za0msu	53	2	equilibria	equilibria	PROPN
cord-005350-19za0msu	53	3	y	y	PROPN
cord-005350-19za0msu	53	4	0	0	PROPN
cord-005350-19za0msu	53	5	and	and	CCONJ
cord-005350-19za0msu	53	6	y	y	PROPN
cord-005350-19za0msu	53	7	*	*	PUNCT
cord-005350-19za0msu	53	8	meet	meet	VERB
cord-005350-19za0msu	53	9	and	and	CCONJ
cord-005350-19za0msu	53	10	exchange	exchange	VERB
cord-005350-19za0msu	53	11	stability	stability	NOUN
cord-005350-19za0msu	53	12	when	when	SCONJ
cord-005350-19za0msu	53	13	the	the	DET
cord-005350-19za0msu	53	14	basic	basic	ADJ
cord-005350-19za0msu	53	15	reproduction	reproduction	NOUN
cord-005350-19za0msu	53	16	number	number	NOUN
cord-005350-19za0msu	53	17	r	r	NOUN
cord-005350-19za0msu	53	18	0	0	NUM
cord-005350-19za0msu	53	19	=	=	SYM
cord-005350-19za0msu	53	20	1	1	NUM
cord-005350-19za0msu	53	21	,	,	PUNCT
cord-005350-19za0msu	53	22	i.e.	i.e.	X
cord-005350-19za0msu	53	23	,	,	PUNCT
cord-005350-19za0msu	53	24	a	a	DET
cord-005350-19za0msu	53	25	transcritical	transcritical	ADJ
cord-005350-19za0msu	53	26	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	53	27	occurs	occur	VERB
cord-005350-19za0msu	53	28	.	.	PUNCT
cord-005350-19za0msu	54	1	we	we	PRON
cord-005350-19za0msu	54	2	will	will	AUX
cord-005350-19za0msu	54	3	refer	refer	VERB
cord-005350-19za0msu	54	4	to	to	ADP
cord-005350-19za0msu	54	5	the	the	DET
cord-005350-19za0msu	54	6	sis	sis	NOUN
cord-005350-19za0msu	54	7	model	model	NOUN
cord-005350-19za0msu	54	8	with	with	ADP
cord-005350-19za0msu	54	9	no	no	DET
cord-005350-19za0msu	54	10	immigration	immigration	NOUN
cord-005350-19za0msu	54	11	as	as	ADP
cord-005350-19za0msu	54	12	the	the	DET
cord-005350-19za0msu	54	13	limiting	limiting	NOUN
cord-005350-19za0msu	54	14	case	case	NOUN
cord-005350-19za0msu	54	15	.	.	PUNCT
cord-005350-19za0msu	55	1	however	however	ADV
cord-005350-19za0msu	55	2	,	,	PUNCT
cord-005350-19za0msu	55	3	it	it	PRON
cord-005350-19za0msu	55	4	is	be	AUX
cord-005350-19za0msu	55	5	usually	usually	ADV
cord-005350-19za0msu	55	6	more	more	ADV
cord-005350-19za0msu	55	7	realistic	realistic	ADJ
cord-005350-19za0msu	55	8	to	to	PART
cord-005350-19za0msu	55	9	assume	assume	VERB
cord-005350-19za0msu	55	10	that	that	SCONJ
cord-005350-19za0msu	55	11	a	a	DET
cord-005350-19za0msu	55	12	low	low	ADJ
cord-005350-19za0msu	55	13	level	level	NOUN
cord-005350-19za0msu	55	14	of	of	ADP
cord-005350-19za0msu	55	15	immigration	immigration	NOUN
cord-005350-19za0msu	55	16	occurs	occur	VERB
cord-005350-19za0msu	55	17	,	,	PUNCT
cord-005350-19za0msu	55	18	i.e.	i.e.	X
cord-005350-19za0msu	55	19	,	,	PUNCT
cord-005350-19za0msu	55	20	η	η	NOUN
cord-005350-19za0msu	55	21	is	be	AUX
cord-005350-19za0msu	55	22	positive	positive	ADJ
cord-005350-19za0msu	55	23	.	.	PUNCT
cord-005350-19za0msu	56	1	if	if	SCONJ
cord-005350-19za0msu	56	2	η	η	X
cord-005350-19za0msu	56	3	>	>	PUNCT
cord-005350-19za0msu	56	4	0	0	NUM
cord-005350-19za0msu	56	5	,	,	PUNCT
cord-005350-19za0msu	56	6	then	then	ADV
cord-005350-19za0msu	56	7	eq	eq	PROPN
cord-005350-19za0msu	56	8	.	.	PUNCT
cord-005350-19za0msu	56	9	(	(	PUNCT
cord-005350-19za0msu	56	10	2	2	NUM
cord-005350-19za0msu	56	11	)	)	PUNCT
cord-005350-19za0msu	56	12	has	have	VERB
cord-005350-19za0msu	56	13	a	a	DET
cord-005350-19za0msu	56	14	single	single	ADJ
cord-005350-19za0msu	56	15	positive	positive	ADJ
cord-005350-19za0msu	56	16	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	56	17	that	that	PRON
cord-005350-19za0msu	56	18	is	be	AUX
cord-005350-19za0msu	56	19	always	always	ADV
cord-005350-19za0msu	56	20	locally	locally	ADV
cord-005350-19za0msu	56	21	stable	stable	ADJ
cord-005350-19za0msu	56	22	,	,	PUNCT
cord-005350-19za0msu	56	23	provided	provide	VERB
cord-005350-19za0msu	56	24	β	β	PROPN
cord-005350-19za0msu	56	25	,	,	PUNCT
cord-005350-19za0msu	56	26	γ	γ	NOUN
cord-005350-19za0msu	56	27	>	>	X
cord-005350-19za0msu	56	28	0	0	NUM
cord-005350-19za0msu	56	29	,	,	PUNCT
cord-005350-19za0msu	56	30	since	since	SCONJ
cord-005350-19za0msu	56	31	the	the	DET
cord-005350-19za0msu	56	32	slope	slope	NOUN
cord-005350-19za0msu	56	33	at	at	ADP
cord-005350-19za0msu	56	34	the	the	DET
cord-005350-19za0msu	56	35	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	57	1	λ	λ	PROPN
cord-005350-19za0msu	57	2	=	=	X
cord-005350-19za0msu	57	3	β	β	NOUN
cord-005350-19za0msu	57	4	−	−	PROPN
cord-005350-19za0msu	57	5	2βy	2βy	PROPN
cord-005350-19za0msu	57	6	*	*	PUNCT
cord-005350-19za0msu	58	1	−	−	PUNCT
cord-005350-19za0msu	58	2	γ	γ	NOUN
cord-005350-19za0msu	58	3	−	−	SYM
cord-005350-19za0msu	58	4	η	η	NOUN
cord-005350-19za0msu	58	5	is	be	AUX
cord-005350-19za0msu	58	6	negative	negative	ADJ
cord-005350-19za0msu	58	7	.	.	PUNCT
cord-005350-19za0msu	59	1	moreover	moreover	ADV
cord-005350-19za0msu	59	2	,	,	PUNCT
cord-005350-19za0msu	59	3	whether	whether	SCONJ
cord-005350-19za0msu	59	4	η	η	PROPN
cord-005350-19za0msu	59	5	=	=	NOUN
cord-005350-19za0msu	59	6	0	0	NUM
cord-005350-19za0msu	59	7	or	or	CCONJ
cord-005350-19za0msu	59	8	η	η	NOUN
cord-005350-19za0msu	59	9	>	>	PUNCT
cord-005350-19za0msu	59	10	0	0	NUM
cord-005350-19za0msu	59	11	,	,	PUNCT
cord-005350-19za0msu	59	12	the	the	DET
cord-005350-19za0msu	59	13	return	return	NOUN
cord-005350-19za0msu	59	14	time	time	NOUN
cord-005350-19za0msu	59	15	−1	−1	SYM
cord-005350-19za0msu	59	16	/	/	SYM
cord-005350-19za0msu	59	17	λ	λ	PROPN
cord-005350-19za0msu	59	18	decreases	decrease	VERB
cord-005350-19za0msu	59	19	in	in	ADP
cord-005350-19za0msu	59	20	the	the	DET
cord-005350-19za0msu	59	21	limit	limit	NOUN
cord-005350-19za0msu	59	22	β	β	NOUN
cord-005350-19za0msu	59	23	→	→	ADP
cord-005350-19za0msu	59	24	γ	γ	PROPN
cord-005350-19za0msu	59	25	.	.	PUNCT
cord-005350-19za0msu	60	1	at	at	ADP
cord-005350-19za0msu	60	2	the	the	DET
cord-005350-19za0msu	60	3	critical	critical	ADJ
cord-005350-19za0msu	60	4	point	point	NOUN
cord-005350-19za0msu	60	5	in	in	ADP
cord-005350-19za0msu	60	6	the	the	DET
cord-005350-19za0msu	60	7	limiting	limit	VERB
cord-005350-19za0msu	60	8	case	case	NOUN
cord-005350-19za0msu	60	9	sis	sis	PROPN
cord-005350-19za0msu	60	10	model	model	NOUN
cord-005350-19za0msu	60	11	,	,	PUNCT
cord-005350-19za0msu	60	12	λ	λ	PROPN
cord-005350-19za0msu	60	13	=	=	NOUN
cord-005350-19za0msu	60	14	0	0	NUM
cord-005350-19za0msu	60	15	.	.	PUNCT
cord-005350-19za0msu	61	1	therefore	therefore	ADV
cord-005350-19za0msu	61	2	,	,	PUNCT
cord-005350-19za0msu	61	3	the	the	DET
cord-005350-19za0msu	61	4	transcritical	transcritical	ADJ
cord-005350-19za0msu	61	5	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	61	6	occurs	occur	VERB
cord-005350-19za0msu	61	7	in	in	ADP
cord-005350-19za0msu	61	8	a	a	DET
cord-005350-19za0msu	61	9	suitably	suitably	ADV
cord-005350-19za0msu	61	10	constructed	construct	VERB
cord-005350-19za0msu	61	11	limiting	limiting	NOUN
cord-005350-19za0msu	61	12	case	case	NOUN
cord-005350-19za0msu	61	13	(	(	PUNCT
cord-005350-19za0msu	61	14	η	η	NOUN
cord-005350-19za0msu	61	15	=	=	NOUN
cord-005350-19za0msu	61	16	0	0	NUM
cord-005350-19za0msu	61	17	)	)	PUNCT
cord-005350-19za0msu	61	18	,	,	PUNCT
cord-005350-19za0msu	61	19	which	which	PRON
cord-005350-19za0msu	61	20	we	we	PRON
cord-005350-19za0msu	61	21	suggest	suggest	VERB
cord-005350-19za0msu	61	22	gives	give	VERB
cord-005350-19za0msu	61	23	an	an	DET
cord-005350-19za0msu	61	24	indication	indication	NOUN
cord-005350-19za0msu	61	25	for	for	ADP
cord-005350-19za0msu	61	26	the	the	DET
cord-005350-19za0msu	61	27	behavior	behavior	NOUN
cord-005350-19za0msu	61	28	of	of	ADP
cord-005350-19za0msu	61	29	the	the	DET
cord-005350-19za0msu	61	30	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	61	31	for	for	ADP
cord-005350-19za0msu	61	32	the	the	DET
cord-005350-19za0msu	61	33	stochastic	stochastic	ADJ
cord-005350-19za0msu	61	34	version	version	NOUN
cord-005350-19za0msu	61	35	of	of	ADP
cord-005350-19za0msu	61	36	the	the	DET
cord-005350-19za0msu	61	37	model	model	NOUN
cord-005350-19za0msu	61	38	with	with	ADP
cord-005350-19za0msu	61	39	immigration	immigration	NOUN
cord-005350-19za0msu	61	40	,	,	PUNCT
cord-005350-19za0msu	61	41	provided	provide	VERB
cord-005350-19za0msu	61	42	η	η	NOUN
cord-005350-19za0msu	61	43	is	be	AUX
cord-005350-19za0msu	61	44	small	small	ADJ
cord-005350-19za0msu	61	45	.	.	PUNCT
cord-005350-19za0msu	62	1	slow	slow	ADJ
cord-005350-19za0msu	62	2	changes	change	NOUN
cord-005350-19za0msu	62	3	in	in	ADP
cord-005350-19za0msu	62	4	the	the	DET
cord-005350-19za0msu	62	5	transmission	transmission	NOUN
cord-005350-19za0msu	62	6	rate	rate	NOUN
cord-005350-19za0msu	62	7	β	β	NUM
cord-005350-19za0msu	62	8	,	,	PUNCT
cord-005350-19za0msu	62	9	through	through	ADP
cord-005350-19za0msu	62	10	demographic	demographic	ADJ
cord-005350-19za0msu	62	11	or	or	CCONJ
cord-005350-19za0msu	62	12	evolutionary	evolutionary	ADJ
cord-005350-19za0msu	62	13	means	mean	NOUN
cord-005350-19za0msu	62	14	,	,	PUNCT
cord-005350-19za0msu	62	15	may	may	AUX
cord-005350-19za0msu	62	16	induce	induce	VERB
cord-005350-19za0msu	62	17	a	a	DET
cord-005350-19za0msu	62	18	transcritical	transcritical	ADJ
cord-005350-19za0msu	62	19	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	62	20	of	of	ADP
cord-005350-19za0msu	62	21	eq	eq	PROPN
cord-005350-19za0msu	62	22	.	.	PUNCT
cord-005350-19za0msu	63	1	(	(	PUNCT
cord-005350-19za0msu	63	2	2	2	NUM
cord-005350-19za0msu	63	3	)	)	PUNCT
cord-005350-19za0msu	63	4	.	.	PUNCT
cord-005350-19za0msu	64	1	for	for	ADP
cord-005350-19za0msu	64	2	example	example	NOUN
cord-005350-19za0msu	64	3	,	,	PUNCT
cord-005350-19za0msu	64	4	transmission	transmission	NOUN
cord-005350-19za0msu	64	5	may	may	AUX
cord-005350-19za0msu	64	6	decrease	decrease	VERB
cord-005350-19za0msu	64	7	as	as	ADP
cord-005350-19za0msu	64	8	a	a	DET
cord-005350-19za0msu	64	9	result	result	NOUN
cord-005350-19za0msu	64	10	of	of	ADP
cord-005350-19za0msu	64	11	slow	slow	ADJ
cord-005350-19za0msu	64	12	increases	increase	NOUN
cord-005350-19za0msu	64	13	in	in	ADP
cord-005350-19za0msu	64	14	vaccination	vaccination	NOUN
cord-005350-19za0msu	64	15	uptake	uptake	NOUN
cord-005350-19za0msu	64	16	among	among	ADP
cord-005350-19za0msu	64	17	the	the	DET
cord-005350-19za0msu	64	18	population	population	NOUN
cord-005350-19za0msu	64	19	,	,	PUNCT
cord-005350-19za0msu	64	20	leading	lead	VERB
cord-005350-19za0msu	64	21	to	to	ADP
cord-005350-19za0msu	64	22	extinction	extinction	NOUN
cord-005350-19za0msu	64	23	of	of	ADP
cord-005350-19za0msu	64	24	the	the	DET
cord-005350-19za0msu	64	25	pathogen	pathogen	PROPN
cord-005350-19za0msu	64	26	,	,	PUNCT
cord-005350-19za0msu	64	27	or	or	CCONJ
cord-005350-19za0msu	64	28	it	it	PRON
cord-005350-19za0msu	64	29	may	may	AUX
cord-005350-19za0msu	64	30	increase	increase	VERB
cord-005350-19za0msu	64	31	due	due	ADJ
cord-005350-19za0msu	64	32	to	to	PART
cord-005350-19za0msu	64	33	slow	slow	VERB
cord-005350-19za0msu	64	34	decreases	decrease	NOUN
cord-005350-19za0msu	64	35	in	in	ADP
cord-005350-19za0msu	64	36	vaccination	vaccination	NOUN
cord-005350-19za0msu	64	37	uptake	uptake	NOUN
cord-005350-19za0msu	64	38	,	,	PUNCT
cord-005350-19za0msu	64	39	potentially	potentially	ADV
cord-005350-19za0msu	64	40	causing	cause	VERB
cord-005350-19za0msu	64	41	a	a	DET
cord-005350-19za0msu	64	42	transition	transition	NOUN
cord-005350-19za0msu	64	43	to	to	ADP
cord-005350-19za0msu	64	44	endemicity	endemicity	NOUN
cord-005350-19za0msu	64	45	.	.	PUNCT
cord-005350-19za0msu	65	1	to	to	PART
cord-005350-19za0msu	65	2	formally	formally	ADV
cord-005350-19za0msu	65	3	incorporate	incorporate	VERB
cord-005350-19za0msu	65	4	slow	slow	ADJ
cord-005350-19za0msu	65	5	changes	change	NOUN
cord-005350-19za0msu	65	6	in	in	ADP
cord-005350-19za0msu	65	7	transmission	transmission	NOUN
cord-005350-19za0msu	65	8	into	into	ADP
cord-005350-19za0msu	65	9	the	the	DET
cord-005350-19za0msu	65	10	model	model	NOUN
cord-005350-19za0msu	65	11	,	,	PUNCT
cord-005350-19za0msu	65	12	we	we	PRON
cord-005350-19za0msu	65	13	rewrite	rewrite	VERB
cord-005350-19za0msu	65	14	eq	eq	PROPN
cord-005350-19za0msu	65	15	.	.	PUNCT
cord-005350-19za0msu	66	1	(	(	PUNCT
cord-005350-19za0msu	66	2	2	2	NUM
cord-005350-19za0msu	66	3	)	)	PUNCT
cord-005350-19za0msu	66	4	as	as	ADP
cord-005350-19za0msu	66	5	a	a	DET
cord-005350-19za0msu	66	6	fast	fast	ADV
cord-005350-19za0msu	66	7	-	-	PUNCT
cord-005350-19za0msu	66	8	slow	slow	ADJ
cord-005350-19za0msu	66	9	system	system	NOUN
cord-005350-19za0msu	66	10	:	:	PUNCT
cord-005350-19za0msu	66	11	where	where	SCONJ
cord-005350-19za0msu	66	12	0	0	NUM
cord-005350-19za0msu	66	13	<	<	X
cord-005350-19za0msu	66	14	1	1	NUM
cord-005350-19za0msu	66	15	and	and	CCONJ
cord-005350-19za0msu	66	16	the	the	DET
cord-005350-19za0msu	66	17	function	function	NOUN
cord-005350-19za0msu	66	18	f	f	PROPN
cord-005350-19za0msu	66	19	describes	describe	VERB
cord-005350-19za0msu	66	20	the	the	DET
cord-005350-19za0msu	66	21	change	change	NOUN
cord-005350-19za0msu	66	22	in	in	ADP
cord-005350-19za0msu	66	23	transmission	transmission	NOUN
cord-005350-19za0msu	66	24	rate	rate	NOUN
cord-005350-19za0msu	66	25	.	.	PUNCT
cord-005350-19za0msu	67	1	in	in	ADP
cord-005350-19za0msu	67	2	this	this	DET
cord-005350-19za0msu	67	3	paper	paper	NOUN
cord-005350-19za0msu	67	4	,	,	PUNCT
cord-005350-19za0msu	67	5	we	we	PRON
cord-005350-19za0msu	67	6	assume	assume	VERB
cord-005350-19za0msu	67	7	that	that	SCONJ
cord-005350-19za0msu	67	8	transmission	transmission	NOUN
cord-005350-19za0msu	67	9	is	be	AUX
cord-005350-19za0msu	67	10	a	a	DET
cord-005350-19za0msu	67	11	slowly	slowly	ADV
cord-005350-19za0msu	67	12	changing	change	VERB
cord-005350-19za0msu	67	13	linear	linear	ADJ
cord-005350-19za0msu	67	14	function	function	NOUN
cord-005350-19za0msu	67	15	of	of	ADP
cord-005350-19za0msu	67	16	time	time	NOUN
cord-005350-19za0msu	67	17	,	,	PUNCT
cord-005350-19za0msu	67	18	i.e.	i.e.	X
cord-005350-19za0msu	67	19	,	,	PUNCT
cord-005350-19za0msu	67	20	β	β	PROPN
cord-005350-19za0msu	67	21	=	=	NOUN
cord-005350-19za0msu	67	22	β(t	β(t	PUNCT
cord-005350-19za0msu	67	23	)	)	PUNCT
cord-005350-19za0msu	67	24	=	=	PROPN
cord-005350-19za0msu	67	25	β(1	β(1	PUNCT
cord-005350-19za0msu	67	26	−	−	PROPN
cord-005350-19za0msu	67	27	p(t	p(t	NOUN
cord-005350-19za0msu	67	28	)	)	PUNCT
cord-005350-19za0msu	67	29	)	)	PUNCT
cord-005350-19za0msu	67	30	.	.	PUNCT
cord-005350-19za0msu	68	1	the	the	DET
cord-005350-19za0msu	68	2	proportion	proportion	NOUN
cord-005350-19za0msu	68	3	of	of	ADP
cord-005350-19za0msu	68	4	the	the	DET
cord-005350-19za0msu	68	5	population	population	NOUN
cord-005350-19za0msu	68	6	that	that	PRON
cord-005350-19za0msu	68	7	are	be	AUX
cord-005350-19za0msu	68	8	vaccinated	vaccinate	VERB
cord-005350-19za0msu	68	9	is	be	AUX
cord-005350-19za0msu	68	10	modeled	model	VERB
cord-005350-19za0msu	68	11	by	by	ADP
cord-005350-19za0msu	68	12	the	the	DET
cord-005350-19za0msu	68	13	function	function	NOUN
cord-005350-19za0msu	68	14	p(t	p(t	NOUN
cord-005350-19za0msu	68	15	)	)	PUNCT
cord-005350-19za0msu	69	1	=	=	NOUN
cord-005350-19za0msu	69	2	p	p	PROPN
cord-005350-19za0msu	69	3	s	s	PROPN
cord-005350-19za0msu	69	4	+	+	X
cord-005350-19za0msu	69	5	p	p	SYM
cord-005350-19za0msu	69	6	0	0	NUM
cord-005350-19za0msu	69	7	t	t	NOUN
cord-005350-19za0msu	69	8	,	,	PUNCT
cord-005350-19za0msu	69	9	with	with	ADP
cord-005350-19za0msu	69	10	p	p	PROPN
cord-005350-19za0msu	69	11	0	0	NUM
cord-005350-19za0msu	69	12	an	an	DET
cord-005350-19za0msu	69	13	incremental	incremental	ADJ
cord-005350-19za0msu	69	14	change	change	NOUN
cord-005350-19za0msu	69	15	in	in	ADP
cord-005350-19za0msu	69	16	β	β	PROPN
cord-005350-19za0msu	69	17	.	.	PUNCT
cord-005350-19za0msu	70	1	hence	hence	ADV
cord-005350-19za0msu	70	2	,	,	PUNCT
cord-005350-19za0msu	70	3	β	β	PROPN
cord-005350-19za0msu	70	4	=	=	X
cord-005350-19za0msu	70	5	p	p	NOUN
cord-005350-19za0msu	70	6	0	0	NUM
cord-005350-19za0msu	70	7	.	.	PUNCT
cord-005350-19za0msu	71	1	if	if	SCONJ
cord-005350-19za0msu	71	2	p	p	NOUN
cord-005350-19za0msu	71	3	0	0	PUNCT
cord-005350-19za0msu	71	4	>	>	PUNCT
cord-005350-19za0msu	71	5	0	0	NUM
cord-005350-19za0msu	71	6	,	,	PUNCT
cord-005350-19za0msu	71	7	then	then	ADV
cord-005350-19za0msu	71	8	the	the	DET
cord-005350-19za0msu	71	9	rate	rate	NOUN
cord-005350-19za0msu	71	10	of	of	ADP
cord-005350-19za0msu	71	11	transmission	transmission	NOUN
cord-005350-19za0msu	71	12	is	be	AUX
cord-005350-19za0msu	71	13	slowly	slowly	ADV
cord-005350-19za0msu	71	14	declining	decline	VERB
cord-005350-19za0msu	71	15	over	over	ADP
cord-005350-19za0msu	71	16	time	time	NOUN
cord-005350-19za0msu	71	17	,	,	PUNCT
cord-005350-19za0msu	71	18	and	and	CCONJ
cord-005350-19za0msu	71	19	if	if	SCONJ
cord-005350-19za0msu	71	20	p	p	NOUN
cord-005350-19za0msu	71	21	0	0	PUNCT
cord-005350-19za0msu	71	22	<	<	X
cord-005350-19za0msu	71	23	0	0	NUM
cord-005350-19za0msu	71	24	,	,	PUNCT
cord-005350-19za0msu	71	25	it	it	PRON
cord-005350-19za0msu	71	26	is	be	AUX
cord-005350-19za0msu	71	27	slowly	slowly	ADV
cord-005350-19za0msu	71	28	increasing	increase	VERB
cord-005350-19za0msu	71	29	.	.	PUNCT
cord-005350-19za0msu	72	1	the	the	DET
cord-005350-19za0msu	72	2	limit	limit	NOUN
cord-005350-19za0msu	72	3	case	case	NOUN
cord-005350-19za0msu	72	4	→	→	ADP
cord-005350-19za0msu	72	5	0	0	NUM
cord-005350-19za0msu	72	6	of	of	ADP
cord-005350-19za0msu	72	7	eq	eq	PROPN
cord-005350-19za0msu	72	8	.	.	PUNCT
cord-005350-19za0msu	72	9	(	(	PUNCT
cord-005350-19za0msu	72	10	3	3	X
cord-005350-19za0msu	72	11	)	)	PUNCT
cord-005350-19za0msu	72	12	is	be	AUX
cord-005350-19za0msu	72	13	eq	eq	PROPN
cord-005350-19za0msu	72	14	.	.	PUNCT
cord-005350-19za0msu	73	1	(	(	PUNCT
cord-005350-19za0msu	73	2	2	2	NUM
cord-005350-19za0msu	73	3	)	)	PUNCT
cord-005350-19za0msu	73	4	,	,	PUNCT
cord-005350-19za0msu	73	5	and	and	CCONJ
cord-005350-19za0msu	73	6	thus	thus	ADV
cord-005350-19za0msu	73	7	,	,	PUNCT
cord-005350-19za0msu	73	8	the	the	DET
cord-005350-19za0msu	73	9	endemic	endemic	ADJ
cord-005350-19za0msu	73	10	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	73	11	of	of	ADP
cord-005350-19za0msu	73	12	the	the	DET
cord-005350-19za0msu	73	13	limit	limit	NOUN
cord-005350-19za0msu	73	14	case	case	NOUN
cord-005350-19za0msu	73	15	assumes	assume	VERB
cord-005350-19za0msu	73	16	β	β	PROPN
cord-005350-19za0msu	73	17	=	=	PROPN
cord-005350-19za0msu	73	18	β(1−p	β(1−p	PUNCT
cord-005350-19za0msu	73	19	s	s	PROPN
cord-005350-19za0msu	73	20	)	)	PUNCT
cord-005350-19za0msu	73	21	,	,	PUNCT
cord-005350-19za0msu	73	22	which	which	PRON
cord-005350-19za0msu	73	23	arises	arise	VERB
cord-005350-19za0msu	73	24	from	from	ADP
cord-005350-19za0msu	73	25	the	the	DET
cord-005350-19za0msu	73	26	level	level	NOUN
cord-005350-19za0msu	73	27	of	of	ADP
cord-005350-19za0msu	73	28	vaccination	vaccination	NOUN
cord-005350-19za0msu	73	29	uptake	uptake	NOUN
cord-005350-19za0msu	73	30	p(t	p(t	NOUN
cord-005350-19za0msu	73	31	)	)	PUNCT
cord-005350-19za0msu	73	32	(	(	PUNCT
cord-005350-19za0msu	73	33	the	the	DET
cord-005350-19za0msu	73	34	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	73	35	parameter	parameter	NOUN
cord-005350-19za0msu	73	36	)	)	PUNCT
cord-005350-19za0msu	73	37	.	.	PUNCT
cord-005350-19za0msu	74	1	figure	figure	NOUN
cord-005350-19za0msu	74	2	1	1	NUM
cord-005350-19za0msu	74	3	shows	show	VERB
cord-005350-19za0msu	74	4	the	the	DET
cord-005350-19za0msu	74	5	transcritical	transcritical	ADJ
cord-005350-19za0msu	74	6	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	74	7	diagram	diagram	NOUN
cord-005350-19za0msu	74	8	for	for	ADP
cord-005350-19za0msu	74	9	the	the	DET
cord-005350-19za0msu	74	10	sis	sis	NOUN
cord-005350-19za0msu	74	11	model	model	NOUN
cord-005350-19za0msu	74	12	.	.	PUNCT
cord-005350-19za0msu	75	1	for	for	ADP
cord-005350-19za0msu	75	2	small	small	ADJ
cord-005350-19za0msu	75	3	η	η	PROPN
cord-005350-19za0msu	75	4	,	,	PUNCT
cord-005350-19za0msu	75	5	the	the	DET
cord-005350-19za0msu	75	6	plot	plot	NOUN
cord-005350-19za0msu	75	7	of	of	ADP
cord-005350-19za0msu	75	8	the	the	DET
cord-005350-19za0msu	75	9	stable	stable	ADJ
cord-005350-19za0msu	75	10	endemic	endemic	PROPN
cord-005350-19za0msu	75	11	equilibrium	equilibrium	PROPN
cord-005350-19za0msu	75	12	y	y	PROPN
cord-005350-19za0msu	75	13	*	*	PUNCT
cord-005350-19za0msu	75	14	as	as	ADP
cord-005350-19za0msu	75	15	a	a	DET
cord-005350-19za0msu	75	16	function	function	NOUN
cord-005350-19za0msu	75	17	of	of	ADP
cord-005350-19za0msu	75	18	vaccination	vaccination	NOUN
cord-005350-19za0msu	75	19	uptake	uptake	NOUN
cord-005350-19za0msu	75	20	is	be	AUX
cord-005350-19za0msu	75	21	similar	similar	ADJ
cord-005350-19za0msu	75	22	to	to	ADP
cord-005350-19za0msu	75	23	the	the	DET
cord-005350-19za0msu	75	24	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	75	25	diagram	diagram	NOUN
cord-005350-19za0msu	75	26	for	for	ADP
cord-005350-19za0msu	75	27	η	η	NOUN
cord-005350-19za0msu	75	28	=	=	NOUN
cord-005350-19za0msu	75	29	0	0	NUM
cord-005350-19za0msu	75	30	,	,	PUNCT
cord-005350-19za0msu	75	31	except	except	SCONJ
cord-005350-19za0msu	75	32	in	in	ADP
cord-005350-19za0msu	75	33	the	the	DET
cord-005350-19za0msu	75	34	vicinity	vicinity	NOUN
cord-005350-19za0msu	75	35	of	of	ADP
cord-005350-19za0msu	75	36	the	the	DET
cord-005350-19za0msu	75	37	critical	critical	ADJ
cord-005350-19za0msu	75	38	point	point	NOUN
cord-005350-19za0msu	75	39	p	p	NOUN
cord-005350-19za0msu	75	40	*	*	PUNCT
cord-005350-19za0msu	75	41	(	(	PUNCT
cord-005350-19za0msu	75	42	inset	inset	ADJ
cord-005350-19za0msu	75	43	figure	figure	NOUN
cord-005350-19za0msu	75	44	of	of	ADP
cord-005350-19za0msu	75	45	fig	fig	NOUN
cord-005350-19za0msu	75	46	.	.	PUNCT
cord-005350-19za0msu	76	1	1	1	NUM
cord-005350-19za0msu	76	2	)	)	PUNCT
cord-005350-19za0msu	76	3	.	.	PUNCT
cord-005350-19za0msu	77	1	for	for	ADP
cord-005350-19za0msu	77	2	p	p	X
cord-005350-19za0msu	77	3	>	>	X
cord-005350-19za0msu	77	4	p	p	PROPN
cord-005350-19za0msu	78	1	*	*	PUNCT
cord-005350-19za0msu	78	2	,	,	PUNCT
cord-005350-19za0msu	78	3	the	the	DET
cord-005350-19za0msu	78	4	disease	disease	NOUN
cord-005350-19za0msu	78	5	-	-	PUNCT
cord-005350-19za0msu	78	6	free	free	ADJ
cord-005350-19za0msu	78	7	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	78	8	is	be	AUX
cord-005350-19za0msu	78	9	stable	stable	ADJ
cord-005350-19za0msu	78	10	in	in	ADP
cord-005350-19za0msu	78	11	the	the	DET
cord-005350-19za0msu	78	12	limiting	limiting	NOUN
cord-005350-19za0msu	78	13	case	case	NOUN
cord-005350-19za0msu	78	14	,	,	PUNCT
cord-005350-19za0msu	78	15	but	but	CCONJ
cord-005350-19za0msu	78	16	for	for	ADP
cord-005350-19za0msu	78	17	the	the	DET
cord-005350-19za0msu	78	18	model	model	NOUN
cord-005350-19za0msu	78	19	with	with	ADP
cord-005350-19za0msu	78	20	immigration	immigration	NOUN
cord-005350-19za0msu	78	21	,	,	PUNCT
cord-005350-19za0msu	78	22	the	the	DET
cord-005350-19za0msu	78	23	infectious	infectious	ADJ
cord-005350-19za0msu	78	24	population	population	NOUN
cord-005350-19za0msu	78	25	is	be	AUX
cord-005350-19za0msu	78	26	sustained	sustain	VERB
cord-005350-19za0msu	78	27	at	at	ADP
cord-005350-19za0msu	78	28	a	a	DET
cord-005350-19za0msu	78	29	low	low	ADJ
cord-005350-19za0msu	78	30	level	level	NOUN
cord-005350-19za0msu	78	31	due	due	ADP
cord-005350-19za0msu	78	32	to	to	ADP
cord-005350-19za0msu	78	33	importation	importation	NOUN
cord-005350-19za0msu	78	34	of	of	ADP
cord-005350-19za0msu	78	35	the	the	DET
cord-005350-19za0msu	78	36	disease	disease	NOUN
cord-005350-19za0msu	78	37	from	from	ADP
cord-005350-19za0msu	78	38	external	external	ADJ
cord-005350-19za0msu	78	39	sources	source	NOUN
cord-005350-19za0msu	78	40	(	(	PUNCT
cord-005350-19za0msu	78	41	fig	fig	NOUN
cord-005350-19za0msu	78	42	.	.	PROPN
cord-005350-19za0msu	78	43	1	1	NUM
cord-005350-19za0msu	78	44	)	)	PUNCT
cord-005350-19za0msu	78	45	.	.	PUNCT
cord-005350-19za0msu	79	1	the	the	DET
cord-005350-19za0msu	79	2	inset	inset	VERB
cord-005350-19za0msu	79	3	plot	plot	NOUN
cord-005350-19za0msu	79	4	shows	show	VERB
cord-005350-19za0msu	79	5	a	a	DET
cord-005350-19za0msu	79	6	close	close	NOUN
cord-005350-19za0msu	79	7	-	-	PUNCT
cord-005350-19za0msu	79	8	up	up	NOUN
cord-005350-19za0msu	79	9	of	of	ADP
cord-005350-19za0msu	79	10	the	the	DET
cord-005350-19za0msu	79	11	diagram	diagram	NOUN
cord-005350-19za0msu	79	12	near	near	ADP
cord-005350-19za0msu	79	13	the	the	DET
cord-005350-19za0msu	79	14	transcritical	transcritical	ADJ
cord-005350-19za0msu	79	15	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	79	16	point	point	NOUN
cord-005350-19za0msu	79	17	in	in	ADP
cord-005350-19za0msu	79	18	the	the	DET
cord-005350-19za0msu	79	19	limiting	limiting	ADJ
cord-005350-19za0msu	79	20	case	case	NOUN
cord-005350-19za0msu	79	21	where	where	SCONJ
cord-005350-19za0msu	79	22	η	η	NOUN
cord-005350-19za0msu	79	23	=	=	NOUN
cord-005350-19za0msu	79	24	0	0	NUM
cord-005350-19za0msu	79	25	.	.	PUNCT
cord-005350-19za0msu	80	1	the	the	DET
cord-005350-19za0msu	80	2	dashed	dash	VERB
cord-005350-19za0msu	80	3	line	line	NOUN
cord-005350-19za0msu	80	4	indicates	indicate	VERB
cord-005350-19za0msu	80	5	the	the	DET
cord-005350-19za0msu	80	6	location	location	NOUN
cord-005350-19za0msu	80	7	of	of	ADP
cord-005350-19za0msu	80	8	the	the	DET
cord-005350-19za0msu	80	9	critical	critical	ADJ
cord-005350-19za0msu	80	10	point	point	NOUN
cord-005350-19za0msu	80	11	,	,	PUNCT
cord-005350-19za0msu	80	12	p	p	PROPN
cord-005350-19za0msu	80	13	*	*	PUNCT
cord-005350-19za0msu	80	14	=	=	NOUN
cord-005350-19za0msu	80	15	1	1	NUM
cord-005350-19za0msu	80	16	−	−	SYM
cord-005350-19za0msu	80	17	1	1	NUM
cord-005350-19za0msu	80	18	/	/	SYM
cord-005350-19za0msu	80	19	r	r	NOUN
cord-005350-19za0msu	80	20	0	0	NUM
cord-005350-19za0msu	80	21	=	=	SYM
cord-005350-19za0msu	80	22	0.9	0.9	NUM
cord-005350-19za0msu	80	23	.	.	PUNCT
cord-005350-19za0msu	81	1	the	the	DET
cord-005350-19za0msu	81	2	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	81	3	diagram	diagram	PROPN
cord-005350-19za0msu	81	4	was	be	AUX
cord-005350-19za0msu	81	5	plotted	plot	VERB
cord-005350-19za0msu	81	6	using	use	VERB
cord-005350-19za0msu	81	7	the	the	DET
cord-005350-19za0msu	81	8	parameters	parameter	NOUN
cord-005350-19za0msu	81	9	given	give	VERB
cord-005350-19za0msu	81	10	in	in	ADP
cord-005350-19za0msu	81	11	table	table	NOUN
cord-005350-19za0msu	81	12	7	7	NUM
cord-005350-19za0msu	81	13	stochastic	stochastic	ADJ
cord-005350-19za0msu	81	14	description	description	NOUN
cord-005350-19za0msu	81	15	of	of	ADP
cord-005350-19za0msu	81	16	sis	sis	PROPN
cord-005350-19za0msu	81	17	model	model	NOUN
cord-005350-19za0msu	81	18	to	to	PART
cord-005350-19za0msu	81	19	investigate	investigate	VERB
cord-005350-19za0msu	81	20	the	the	DET
cord-005350-19za0msu	81	21	effect	effect	NOUN
cord-005350-19za0msu	81	22	of	of	ADP
cord-005350-19za0msu	81	23	noise	noise	NOUN
cord-005350-19za0msu	81	24	on	on	ADP
cord-005350-19za0msu	81	25	this	this	DET
cord-005350-19za0msu	81	26	transition	transition	NOUN
cord-005350-19za0msu	81	27	,	,	PUNCT
cord-005350-19za0msu	81	28	we	we	PRON
cord-005350-19za0msu	81	29	assume	assume	VERB
cord-005350-19za0msu	81	30	that	that	SCONJ
cord-005350-19za0msu	81	31	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	81	32	in	in	ADP
cord-005350-19za0msu	81	33	the	the	DET
cord-005350-19za0msu	81	34	infectious	infectious	ADJ
cord-005350-19za0msu	81	35	population	population	NOUN
cord-005350-19za0msu	81	36	are	be	AUX
cord-005350-19za0msu	81	37	caused	cause	VERB
cord-005350-19za0msu	81	38	by	by	ADP
cord-005350-19za0msu	81	39	demographic	demographic	ADJ
cord-005350-19za0msu	81	40	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	81	41	(	(	PUNCT
cord-005350-19za0msu	81	42	intrinsic	intrinsic	ADJ
cord-005350-19za0msu	81	43	noise	noise	NOUN
cord-005350-19za0msu	81	44	)	)	PUNCT
cord-005350-19za0msu	81	45	.	.	PUNCT
cord-005350-19za0msu	82	1	to	to	PART
cord-005350-19za0msu	82	2	understand	understand	VERB
cord-005350-19za0msu	82	3	these	these	DET
cord-005350-19za0msu	82	4	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	82	5	,	,	PUNCT
cord-005350-19za0msu	82	6	we	we	PRON
cord-005350-19za0msu	82	7	require	require	VERB
cord-005350-19za0msu	82	8	an	an	DET
cord-005350-19za0msu	82	9	individual	individual	ADJ
cord-005350-19za0msu	82	10	-	-	PUNCT
cord-005350-19za0msu	82	11	level	level	NOUN
cord-005350-19za0msu	82	12	description	description	NOUN
cord-005350-19za0msu	82	13	rather	rather	ADV
cord-005350-19za0msu	82	14	than	than	ADP
cord-005350-19za0msu	82	15	a	a	DET
cord-005350-19za0msu	82	16	population	population	NOUN
cord-005350-19za0msu	82	17	-	-	PUNCT
cord-005350-19za0msu	82	18	level	level	NOUN
cord-005350-19za0msu	82	19	description	description	NOUN
cord-005350-19za0msu	82	20	.	.	PUNCT
cord-005350-19za0msu	83	1	we	we	PRON
cord-005350-19za0msu	83	2	assume	assume	VERB
cord-005350-19za0msu	83	3	that	that	SCONJ
cord-005350-19za0msu	83	4	all	all	DET
cord-005350-19za0msu	83	5	individuals	individual	NOUN
cord-005350-19za0msu	83	6	have	have	VERB
cord-005350-19za0msu	83	7	identical	identical	ADJ
cord-005350-19za0msu	83	8	attributes	attribute	NOUN
cord-005350-19za0msu	83	9	,	,	PUNCT
cord-005350-19za0msu	83	10	and	and	CCONJ
cord-005350-19za0msu	83	11	individuals	individual	NOUN
cord-005350-19za0msu	83	12	may	may	AUX
cord-005350-19za0msu	83	13	move	move	VERB
cord-005350-19za0msu	83	14	from	from	ADP
cord-005350-19za0msu	83	15	the	the	DET
cord-005350-19za0msu	83	16	susceptible	susceptible	ADJ
cord-005350-19za0msu	83	17	state	state	NOUN
cord-005350-19za0msu	83	18	s(t	s(t	PROPN
cord-005350-19za0msu	83	19	)	)	PUNCT
cord-005350-19za0msu	83	20	to	to	ADP
cord-005350-19za0msu	83	21	the	the	DET
cord-005350-19za0msu	83	22	infectious	infectious	ADJ
cord-005350-19za0msu	83	23	state	state	NOUN
cord-005350-19za0msu	83	24	i	i	NOUN
cord-005350-19za0msu	83	25	(	(	PUNCT
cord-005350-19za0msu	83	26	t	t	NOUN
cord-005350-19za0msu	83	27	)	)	PUNCT
cord-005350-19za0msu	83	28	,	,	PUNCT
cord-005350-19za0msu	83	29	or	or	CCONJ
cord-005350-19za0msu	83	30	from	from	ADP
cord-005350-19za0msu	83	31	the	the	DET
cord-005350-19za0msu	83	32	infectious	infectious	ADJ
cord-005350-19za0msu	83	33	state	state	NOUN
cord-005350-19za0msu	83	34	to	to	ADP
cord-005350-19za0msu	83	35	the	the	DET
cord-005350-19za0msu	83	36	susceptible	susceptible	ADJ
cord-005350-19za0msu	83	37	state	state	NOUN
cord-005350-19za0msu	83	38	.	.	PUNCT
cord-005350-19za0msu	84	1	we	we	PRON
cord-005350-19za0msu	84	2	assume	assume	VERB
cord-005350-19za0msu	84	3	that	that	SCONJ
cord-005350-19za0msu	84	4	the	the	DET
cord-005350-19za0msu	84	5	population	population	NOUN
cord-005350-19za0msu	84	6	size	size	NOUN
cord-005350-19za0msu	84	7	is	be	AUX
cord-005350-19za0msu	84	8	constant	constant	ADJ
cord-005350-19za0msu	84	9	,	,	PUNCT
cord-005350-19za0msu	84	10	i.e.	i.e.	X
cord-005350-19za0msu	84	11	,	,	PUNCT
cord-005350-19za0msu	84	12	s(t	s(t	PROPN
cord-005350-19za0msu	84	13	)	)	PUNCT
cord-005350-19za0msu	85	1	+	+	CCONJ
cord-005350-19za0msu	86	1	i	i	PROPN
cord-005350-19za0msu	86	2	(	(	PUNCT
cord-005350-19za0msu	86	3	t	t	NOUN
cord-005350-19za0msu	86	4	)	)	PUNCT
cord-005350-19za0msu	86	5	=	=	SYM
cord-005350-19za0msu	86	6	n.	n.	NOUN
cord-005350-19za0msu	86	7	since	since	SCONJ
cord-005350-19za0msu	86	8	the	the	DET
cord-005350-19za0msu	86	9	population	population	NOUN
cord-005350-19za0msu	86	10	size	size	NOUN
cord-005350-19za0msu	86	11	is	be	AUX
cord-005350-19za0msu	86	12	constant	constant	ADJ
cord-005350-19za0msu	86	13	,	,	PUNCT
cord-005350-19za0msu	86	14	we	we	PRON
cord-005350-19za0msu	86	15	need	need	AUX
cord-005350-19za0msu	86	16	only	only	ADV
cord-005350-19za0msu	86	17	model	model	VERB
cord-005350-19za0msu	86	18	the	the	DET
cord-005350-19za0msu	86	19	transitions	transition	NOUN
cord-005350-19za0msu	86	20	into	into	ADP
cord-005350-19za0msu	86	21	and	and	CCONJ
cord-005350-19za0msu	86	22	out	out	ADP
cord-005350-19za0msu	86	23	of	of	ADP
cord-005350-19za0msu	86	24	the	the	DET
cord-005350-19za0msu	86	25	infectious	infectious	ADJ
cord-005350-19za0msu	86	26	state	state	NOUN
cord-005350-19za0msu	86	27	.	.	PUNCT
cord-005350-19za0msu	87	1	furthermore	furthermore	ADV
cord-005350-19za0msu	87	2	,	,	PUNCT
cord-005350-19za0msu	87	3	since	since	SCONJ
cord-005350-19za0msu	87	4	the	the	DET
cord-005350-19za0msu	87	5	sis	sis	NOUN
cord-005350-19za0msu	87	6	system	system	NOUN
cord-005350-19za0msu	87	7	moving	move	VERB
cord-005350-19za0msu	87	8	towards	towards	ADP
cord-005350-19za0msu	87	9	a	a	DET
cord-005350-19za0msu	87	10	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	87	11	is	be	AUX
cord-005350-19za0msu	87	12	a	a	DET
cord-005350-19za0msu	87	13	fast	fast	ADV
cord-005350-19za0msu	87	14	-	-	PUNCT
cord-005350-19za0msu	87	15	slow	slow	ADJ
cord-005350-19za0msu	87	16	system	system	NOUN
cord-005350-19za0msu	87	17	,	,	PUNCT
cord-005350-19za0msu	87	18	the	the	DET
cord-005350-19za0msu	87	19	transmission	transmission	NOUN
cord-005350-19za0msu	87	20	rate	rate	NOUN
cord-005350-19za0msu	87	21	β	β	NOUN
cord-005350-19za0msu	87	22	is	be	AUX
cord-005350-19za0msu	87	23	not	not	PART
cord-005350-19za0msu	87	24	constant	constant	ADJ
cord-005350-19za0msu	87	25	in	in	ADP
cord-005350-19za0msu	87	26	time	time	NOUN
cord-005350-19za0msu	87	27	but	but	CCONJ
cord-005350-19za0msu	87	28	is	be	AUX
cord-005350-19za0msu	87	29	a	a	DET
cord-005350-19za0msu	87	30	slowly	slowly	ADV
cord-005350-19za0msu	87	31	changing	change	VERB
cord-005350-19za0msu	87	32	function	function	NOUN
cord-005350-19za0msu	87	33	of	of	ADP
cord-005350-19za0msu	87	34	time	time	NOUN
cord-005350-19za0msu	87	35	.	.	PUNCT
cord-005350-19za0msu	88	1	because	because	SCONJ
cord-005350-19za0msu	88	2	the	the	DET
cord-005350-19za0msu	88	3	probability	probability	NOUN
cord-005350-19za0msu	88	4	of	of	ADP
cord-005350-19za0msu	88	5	transmission	transmission	NOUN
cord-005350-19za0msu	88	6	between	between	ADP
cord-005350-19za0msu	88	7	an	an	DET
cord-005350-19za0msu	88	8	infectious	infectious	ADJ
cord-005350-19za0msu	88	9	and	and	CCONJ
cord-005350-19za0msu	88	10	susceptible	susceptible	ADJ
cord-005350-19za0msu	88	11	individual	individual	NOUN
cord-005350-19za0msu	88	12	is	be	AUX
cord-005350-19za0msu	88	13	slowly	slowly	ADV
cord-005350-19za0msu	88	14	changing	change	VERB
cord-005350-19za0msu	88	15	over	over	ADP
cord-005350-19za0msu	88	16	time	time	NOUN
cord-005350-19za0msu	88	17	,	,	PUNCT
cord-005350-19za0msu	88	18	we	we	PRON
cord-005350-19za0msu	88	19	treat	treat	VERB
cord-005350-19za0msu	88	20	the	the	DET
cord-005350-19za0msu	88	21	transmission	transmission	NOUN
cord-005350-19za0msu	88	22	rate	rate	NOUN
cord-005350-19za0msu	88	23	as	as	ADP
cord-005350-19za0msu	88	24	constant	constant	ADJ
cord-005350-19za0msu	88	25	for	for	SCONJ
cord-005350-19za0msu	88	26	each	each	DET
cord-005350-19za0msu	88	27	small	small	ADJ
cord-005350-19za0msu	88	28	time	time	NOUN
cord-005350-19za0msu	88	29	increment	increment	PROPN
cord-005350-19za0msu	88	30	dt	dt	PROPN
cord-005350-19za0msu	88	31	,	,	PUNCT
cord-005350-19za0msu	88	32	β	β	PROPN
cord-005350-19za0msu	88	33	.	.	PROPN
cord-005350-19za0msu	88	34	table	table	NOUN
cord-005350-19za0msu	88	35	1	1	NUM
cord-005350-19za0msu	88	36	shows	show	VERB
cord-005350-19za0msu	88	37	the	the	DET
cord-005350-19za0msu	88	38	variables	variable	NOUN
cord-005350-19za0msu	88	39	and	and	CCONJ
cord-005350-19za0msu	88	40	parameters	parameter	NOUN
cord-005350-19za0msu	88	41	of	of	ADP
cord-005350-19za0msu	88	42	the	the	DET
cord-005350-19za0msu	88	43	sis	sis	NOUN
cord-005350-19za0msu	88	44	model	model	NOUN
cord-005350-19za0msu	88	45	.	.	PUNCT
cord-005350-19za0msu	89	1	we	we	PRON
cord-005350-19za0msu	89	2	assume	assume	VERB
cord-005350-19za0msu	89	3	that	that	SCONJ
cord-005350-19za0msu	89	4	in	in	ADP
cord-005350-19za0msu	89	5	a	a	DET
cord-005350-19za0msu	89	6	sufficiently	sufficiently	ADV
cord-005350-19za0msu	89	7	small	small	ADJ
cord-005350-19za0msu	89	8	time	time	NOUN
cord-005350-19za0msu	89	9	increment	increment	NOUN
cord-005350-19za0msu	89	10	dt	dt	PROPN
cord-005350-19za0msu	89	11	,	,	PUNCT
cord-005350-19za0msu	89	12	the	the	DET
cord-005350-19za0msu	89	13	number	number	NOUN
cord-005350-19za0msu	89	14	of	of	ADP
cord-005350-19za0msu	89	15	infectious	infectious	ADJ
cord-005350-19za0msu	89	16	individuals	individual	NOUN
cord-005350-19za0msu	89	17	i	i	PRON
cord-005350-19za0msu	89	18	can	can	AUX
cord-005350-19za0msu	89	19	either	either	CCONJ
cord-005350-19za0msu	89	20	(	(	PUNCT
cord-005350-19za0msu	89	21	a	a	X
cord-005350-19za0msu	89	22	)	)	PUNCT
cord-005350-19za0msu	89	23	increase	increase	NOUN
cord-005350-19za0msu	89	24	by	by	ADP
cord-005350-19za0msu	89	25	1	1	NUM
cord-005350-19za0msu	89	26	,	,	PUNCT
cord-005350-19za0msu	89	27	(	(	PUNCT
cord-005350-19za0msu	89	28	b	b	X
cord-005350-19za0msu	89	29	)	)	PUNCT
cord-005350-19za0msu	89	30	decrease	decrease	NOUN
cord-005350-19za0msu	89	31	by	by	ADP
cord-005350-19za0msu	89	32	1	1	NUM
cord-005350-19za0msu	89	33	,	,	PUNCT
cord-005350-19za0msu	89	34	or	or	CCONJ
cord-005350-19za0msu	89	35	(	(	PUNCT
cord-005350-19za0msu	89	36	c	c	X
cord-005350-19za0msu	89	37	)	)	PUNCT
cord-005350-19za0msu	89	38	not	not	PART
cord-005350-19za0msu	89	39	change	change	VERB
cord-005350-19za0msu	89	40	in	in	ADP
cord-005350-19za0msu	89	41	number	number	NOUN
cord-005350-19za0msu	89	42	.	.	PUNCT
cord-005350-19za0msu	90	1	infection	infection	NOUN
cord-005350-19za0msu	90	2	and	and	CCONJ
cord-005350-19za0msu	90	3	removal	removal	NOUN
cord-005350-19za0msu	90	4	are	be	AUX
cord-005350-19za0msu	90	5	the	the	DET
cord-005350-19za0msu	90	6	events	event	NOUN
cord-005350-19za0msu	90	7	in	in	ADP
cord-005350-19za0msu	90	8	an	an	DET
cord-005350-19za0msu	90	9	sis	sis	NOUN
cord-005350-19za0msu	90	10	process	process	NOUN
cord-005350-19za0msu	90	11	that	that	PRON
cord-005350-19za0msu	90	12	lead	lead	VERB
cord-005350-19za0msu	90	13	to	to	ADP
cord-005350-19za0msu	90	14	these	these	DET
cord-005350-19za0msu	90	15	changes	change	NOUN
cord-005350-19za0msu	90	16	in	in	ADP
cord-005350-19za0msu	90	17	state	state	NOUN
cord-005350-19za0msu	90	18	.	.	PUNCT
cord-005350-19za0msu	91	1	we	we	PRON
cord-005350-19za0msu	91	2	denote	denote	VERB
cord-005350-19za0msu	91	3	the	the	DET
cord-005350-19za0msu	91	4	number	number	NOUN
cord-005350-19za0msu	91	5	of	of	ADP
cord-005350-19za0msu	91	6	individuals	individual	NOUN
cord-005350-19za0msu	91	7	i	i	PRON
cord-005350-19za0msu	91	8	at	at	ADP
cord-005350-19za0msu	91	9	time	time	NOUN
cord-005350-19za0msu	91	10	t	t	PROPN
cord-005350-19za0msu	91	11	or	or	CCONJ
cord-005350-19za0msu	91	12	the	the	DET
cord-005350-19za0msu	91	13	state	state	NOUN
cord-005350-19za0msu	91	14	of	of	ADP
cord-005350-19za0msu	91	15	the	the	DET
cord-005350-19za0msu	91	16	system	system	NOUN
cord-005350-19za0msu	91	17	by	by	ADP
cord-005350-19za0msu	91	18	α	α	PROPN
cord-005350-19za0msu	91	19	=	=	NOUN
cord-005350-19za0msu	91	20	i	i	PRON
cord-005350-19za0msu	91	21	at	at	ADP
cord-005350-19za0msu	91	22	time	time	NOUN
cord-005350-19za0msu	91	23	t	t	PROPN
cord-005350-19za0msu	91	24	and	and	CCONJ
cord-005350-19za0msu	91	25	the	the	DET
cord-005350-19za0msu	91	26	alternative	alternative	ADJ
cord-005350-19za0msu	91	27	states	state	NOUN
cord-005350-19za0msu	91	28	byα	byα	PROPN
cord-005350-19za0msu	91	29	,	,	PUNCT
cord-005350-19za0msu	91	30	where	where	SCONJ
cord-005350-19za0msu	91	31	eitherα	eitherα	NOUN
cord-005350-19za0msu	91	32	=	=	NOUN
cord-005350-19za0msu	91	33	i	i	NOUN
cord-005350-19za0msu	91	34	+	+	CCONJ
cord-005350-19za0msu	91	35	1	1	NUM
cord-005350-19za0msu	91	36	orα	orα	PROPN
cord-005350-19za0msu	92	1	=	=	X
cord-005350-19za0msu	93	1	i	i	NOUN
cord-005350-19za0msu	94	1	−	−	SYM
cord-005350-19za0msu	94	2	1	1	NUM
cord-005350-19za0msu	94	3	in	in	ADP
cord-005350-19za0msu	94	4	the	the	DET
cord-005350-19za0msu	94	5	sis	sis	NOUN
cord-005350-19za0msu	94	6	model	model	NOUN
cord-005350-19za0msu	94	7	.	.	PUNCT
cord-005350-19za0msu	95	1	the	the	DET
cord-005350-19za0msu	95	2	system	system	NOUN
cord-005350-19za0msu	95	3	of	of	ADP
cord-005350-19za0msu	95	4	individuals	individual	NOUN
cord-005350-19za0msu	95	5	goes	go	VERB
cord-005350-19za0msu	95	6	from	from	ADP
cord-005350-19za0msu	95	7	a	a	DET
cord-005350-19za0msu	95	8	state	state	NOUN
cord-005350-19za0msu	95	9	with	with	ADP
cord-005350-19za0msu	95	10	α	α	PROPN
cord-005350-19za0msu	95	11	=	=	NOUN
cord-005350-19za0msu	95	12	i	i	PRON
cord-005350-19za0msu	95	13	individuals	individual	NOUN
cord-005350-19za0msu	95	14	at	at	ADP
cord-005350-19za0msu	95	15	time	time	NOUN
cord-005350-19za0msu	95	16	t	t	PROPN
cord-005350-19za0msu	95	17	to	to	ADP
cord-005350-19za0msu	95	18	a	a	DET
cord-005350-19za0msu	95	19	state	state	NOUN
cord-005350-19za0msu	95	20	withα	withα	ADJ
cord-005350-19za0msu	95	21	individuals	individual	NOUN
cord-005350-19za0msu	95	22	at	at	ADP
cord-005350-19za0msu	95	23	time	time	NOUN
cord-005350-19za0msu	95	24	t	t	PROPN
cord-005350-19za0msu	95	25	+	+	X
cord-005350-19za0msu	95	26	dt	dt	X
cord-005350-19za0msu	95	27	with	with	ADP
cord-005350-19za0msu	95	28	transition	transition	NOUN
cord-005350-19za0msu	95	29	probability	probability	NOUN
cord-005350-19za0msu	95	30	per	per	ADP
cord-005350-19za0msu	95	31	unit	unit	NOUN
cord-005350-19za0msu	95	32	time	time	NOUN
cord-005350-19za0msu	95	33	t	t	PROPN
cord-005350-19za0msu	95	34	i	i	PROPN
cord-005350-19za0msu	95	35	(	(	PUNCT
cord-005350-19za0msu	95	36	α|α	α|α	PROPN
cord-005350-19za0msu	95	37	)	)	PUNCT
cord-005350-19za0msu	95	38	.	.	PUNCT
cord-005350-19za0msu	96	1	the	the	DET
cord-005350-19za0msu	96	2	system	system	NOUN
cord-005350-19za0msu	96	3	can	can	AUX
cord-005350-19za0msu	96	4	also	also	ADV
cord-005350-19za0msu	96	5	go	go	VERB
cord-005350-19za0msu	96	6	from	from	ADP
cord-005350-19za0msu	96	7	a	a	DET
cord-005350-19za0msu	96	8	state	state	NOUN
cord-005350-19za0msu	96	9	withα	withα	ADJ
cord-005350-19za0msu	96	10	individuals	individual	NOUN
cord-005350-19za0msu	96	11	at	at	ADP
cord-005350-19za0msu	96	12	time	time	NOUN
cord-005350-19za0msu	96	13	t	t	NOUN
cord-005350-19za0msu	96	14	to	to	ADP
cord-005350-19za0msu	96	15	i	i	PRON
cord-005350-19za0msu	96	16	individuals	individual	NOUN
cord-005350-19za0msu	96	17	at	at	ADP
cord-005350-19za0msu	96	18	time	time	NOUN
cord-005350-19za0msu	96	19	t	t	PROPN
cord-005350-19za0msu	96	20	+	+	CCONJ
cord-005350-19za0msu	96	21	dt	dt	X
cord-005350-19za0msu	96	22	critical	critical	ADJ
cord-005350-19za0msu	96	23	point	point	NOUN
cord-005350-19za0msu	96	24	p	p	PROPN
cord-005350-19za0msu	96	25	*	*	PUNCT
cord-005350-19za0msu	96	26	=	=	NOUN
cord-005350-19za0msu	96	27	1	1	NUM
cord-005350-19za0msu	96	28	−	−	SYM
cord-005350-19za0msu	96	29	1	1	NUM
cord-005350-19za0msu	96	30	/	/	SYM
cord-005350-19za0msu	96	31	r	r	NOUN
cord-005350-19za0msu	96	32	0	0	NUM
cord-005350-19za0msu	96	33	with	with	ADP
cord-005350-19za0msu	96	34	a	a	DET
cord-005350-19za0msu	96	35	probability	probability	NOUN
cord-005350-19za0msu	96	36	fluxt	fluxt	ADV
cord-005350-19za0msu	96	37	i	i	NOUN
cord-005350-19za0msu	96	38	(	(	PUNCT
cord-005350-19za0msu	96	39	α|α	α|α	PROPN
cord-005350-19za0msu	96	40	)	)	PUNCT
cord-005350-19za0msu	96	41	.	.	PUNCT
cord-005350-19za0msu	97	1	table	table	NOUN
cord-005350-19za0msu	97	2	2	2	NUM
cord-005350-19za0msu	97	3	outlines	outline	VERB
cord-005350-19za0msu	97	4	the	the	DET
cord-005350-19za0msu	97	5	events	event	NOUN
cord-005350-19za0msu	97	6	,	,	PUNCT
cord-005350-19za0msu	97	7	changes	change	NOUN
cord-005350-19za0msu	97	8	in	in	ADP
cord-005350-19za0msu	97	9	state	state	NOUN
cord-005350-19za0msu	97	10	,	,	PUNCT
cord-005350-19za0msu	97	11	and	and	CCONJ
cord-005350-19za0msu	97	12	the	the	DET
cord-005350-19za0msu	97	13	transition	transition	NOUN
cord-005350-19za0msu	97	14	probability	probability	NOUN
cord-005350-19za0msu	97	15	fluxes	flux	VERB
cord-005350-19za0msu	97	16	into	into	ADP
cord-005350-19za0msu	97	17	and	and	CCONJ
cord-005350-19za0msu	97	18	out	out	ADP
cord-005350-19za0msu	97	19	of	of	ADP
cord-005350-19za0msu	97	20	state	state	NOUN
cord-005350-19za0msu	97	21	i	i	PRON
cord-005350-19za0msu	97	22	that	that	PRON
cord-005350-19za0msu	97	23	can	can	AUX
cord-005350-19za0msu	97	24	occur	occur	VERB
cord-005350-19za0msu	97	25	in	in	ADP
cord-005350-19za0msu	97	26	a	a	DET
cord-005350-19za0msu	97	27	stochastic	stochastic	ADJ
cord-005350-19za0msu	97	28	sis	sis	NOUN
cord-005350-19za0msu	97	29	process	process	NOUN
cord-005350-19za0msu	97	30	with	with	ADP
cord-005350-19za0msu	97	31	a	a	DET
cord-005350-19za0msu	97	32	slowly	slowly	ADV
cord-005350-19za0msu	97	33	changing	change	VERB
cord-005350-19za0msu	97	34	transmission	transmission	NOUN
cord-005350-19za0msu	97	35	rate	rate	NOUN
cord-005350-19za0msu	97	36	.	.	PUNCT
cord-005350-19za0msu	98	1	since	since	SCONJ
cord-005350-19za0msu	98	2	the	the	DET
cord-005350-19za0msu	98	3	transitions	transition	NOUN
cord-005350-19za0msu	98	4	in	in	ADP
cord-005350-19za0msu	98	5	table	table	NOUN
cord-005350-19za0msu	98	6	2	2	NUM
cord-005350-19za0msu	98	7	describe	describe	VERB
cord-005350-19za0msu	98	8	a	a	DET
cord-005350-19za0msu	98	9	markov	markov	NOUN
cord-005350-19za0msu	98	10	process	process	NOUN
cord-005350-19za0msu	98	11	,	,	PUNCT
cord-005350-19za0msu	98	12	we	we	PRON
cord-005350-19za0msu	98	13	can	can	AUX
cord-005350-19za0msu	98	14	write	write	VERB
cord-005350-19za0msu	98	15	down	down	ADP
cord-005350-19za0msu	98	16	a	a	DET
cord-005350-19za0msu	98	17	master	master	NOUN
cord-005350-19za0msu	98	18	equation	equation	NOUN
cord-005350-19za0msu	98	19	describing	describe	VERB
cord-005350-19za0msu	98	20	how	how	SCONJ
cord-005350-19za0msu	98	21	the	the	DET
cord-005350-19za0msu	98	22	probability	probability	NOUN
cord-005350-19za0msu	98	23	of	of	ADP
cord-005350-19za0msu	98	24	there	there	PRON
cord-005350-19za0msu	98	25	being	be	AUX
cord-005350-19za0msu	98	26	i	i	PRON
cord-005350-19za0msu	98	27	individuals	individual	NOUN
cord-005350-19za0msu	98	28	at	at	ADP
cord-005350-19za0msu	98	29	time	time	NOUN
cord-005350-19za0msu	98	30	t	t	PRON
cord-005350-19za0msu	98	31	evolves	evolve	VERB
cord-005350-19za0msu	98	32	with	with	ADP
cord-005350-19za0msu	98	33	time	time	NOUN
cord-005350-19za0msu	98	34	.	.	PUNCT
cord-005350-19za0msu	99	1	the	the	DET
cord-005350-19za0msu	99	2	master	master	NOUN
cord-005350-19za0msu	99	3	equation	equation	NOUN
cord-005350-19za0msu	99	4	represents	represent	VERB
cord-005350-19za0msu	99	5	the	the	DET
cord-005350-19za0msu	99	6	continuous	continuous	ADJ
cord-005350-19za0msu	99	7	time	time	NOUN
cord-005350-19za0msu	99	8	version	version	NOUN
cord-005350-19za0msu	99	9	of	of	ADP
cord-005350-19za0msu	99	10	the	the	DET
cord-005350-19za0msu	99	11	dynamics	dynamic	NOUN
cord-005350-19za0msu	99	12	of	of	ADP
cord-005350-19za0msu	99	13	the	the	DET
cord-005350-19za0msu	99	14	markov	markov	NOUN
cord-005350-19za0msu	99	15	process	process	NOUN
cord-005350-19za0msu	99	16	.	.	PUNCT
cord-005350-19za0msu	100	1	derivations	derivation	NOUN
cord-005350-19za0msu	100	2	of	of	ADP
cord-005350-19za0msu	100	3	master	master	NOUN
cord-005350-19za0msu	100	4	equations	equation	NOUN
cord-005350-19za0msu	100	5	can	can	AUX
cord-005350-19za0msu	100	6	be	be	AUX
cord-005350-19za0msu	100	7	found	find	VERB
cord-005350-19za0msu	100	8	in	in	ADP
cord-005350-19za0msu	100	9	van	van	PROPN
cord-005350-19za0msu	100	10	kampen	kampen	PROPN
cord-005350-19za0msu	100	11	(	(	PUNCT
cord-005350-19za0msu	100	12	1981	1981	NUM
cord-005350-19za0msu	100	13	)	)	PUNCT
cord-005350-19za0msu	100	14	and	and	CCONJ
cord-005350-19za0msu	100	15	renshaw	renshaw	PROPN
cord-005350-19za0msu	100	16	(	(	PUNCT
cord-005350-19za0msu	100	17	1991	1991	NUM
cord-005350-19za0msu	100	18	)	)	PUNCT
cord-005350-19za0msu	100	19	.	.	PUNCT
cord-005350-19za0msu	101	1	letting	let	VERB
cord-005350-19za0msu	101	2	p	p	PROPN
cord-005350-19za0msu	101	3	(	(	PUNCT
cord-005350-19za0msu	101	4	i	i	NOUN
cord-005350-19za0msu	101	5	,	,	PUNCT
cord-005350-19za0msu	101	6	t	t	NOUN
cord-005350-19za0msu	101	7	)	)	PUNCT
cord-005350-19za0msu	101	8	=	=	NOUN
cord-005350-19za0msu	102	1	prob	prob	NOUN
cord-005350-19za0msu	102	2	(	(	PUNCT
cord-005350-19za0msu	102	3	i	i	NOUN
cord-005350-19za0msu	102	4	(	(	PUNCT
cord-005350-19za0msu	102	5	t	t	NOUN
cord-005350-19za0msu	102	6	)	)	PUNCT
cord-005350-19za0msu	102	7	=	=	NOUN
cord-005350-19za0msu	102	8	i	i	NOUN
cord-005350-19za0msu	102	9	)	)	PUNCT
cord-005350-19za0msu	102	10	be	be	VERB
cord-005350-19za0msu	102	11	the	the	DET
cord-005350-19za0msu	102	12	probability	probability	NOUN
cord-005350-19za0msu	102	13	that	that	SCONJ
cord-005350-19za0msu	102	14	the	the	DET
cord-005350-19za0msu	102	15	infectious	infectious	ADJ
cord-005350-19za0msu	102	16	state	state	NOUN
cord-005350-19za0msu	102	17	variable	variable	NOUN
cord-005350-19za0msu	102	18	i	i	PROPN
cord-005350-19za0msu	102	19	(	(	PUNCT
cord-005350-19za0msu	102	20	t	t	NOUN
cord-005350-19za0msu	102	21	)	)	PUNCT
cord-005350-19za0msu	102	22	is	be	AUX
cord-005350-19za0msu	102	23	equal	equal	ADJ
cord-005350-19za0msu	102	24	to	to	ADP
cord-005350-19za0msu	102	25	some	some	PRON
cord-005350-19za0msu	102	26	nonnegative	nonnegative	ADJ
cord-005350-19za0msu	102	27	integer	integer	NOUN
cord-005350-19za0msu	102	28	i	i	PRON
cord-005350-19za0msu	102	29	,	,	PUNCT
cord-005350-19za0msu	102	30	the	the	DET
cord-005350-19za0msu	102	31	master	master	NOUN
cord-005350-19za0msu	102	32	equation	equation	NOUN
cord-005350-19za0msu	102	33	for	for	ADP
cord-005350-19za0msu	102	34	the	the	DET
cord-005350-19za0msu	102	35	evolution	evolution	NOUN
cord-005350-19za0msu	102	36	of	of	ADP
cord-005350-19za0msu	102	37	the	the	DET
cord-005350-19za0msu	102	38	probability	probability	NOUN
cord-005350-19za0msu	102	39	of	of	ADP
cord-005350-19za0msu	102	40	the	the	DET
cord-005350-19za0msu	102	41	infectious	infectious	ADJ
cord-005350-19za0msu	102	42	population	population	NOUN
cord-005350-19za0msu	102	43	being	be	AUX
cord-005350-19za0msu	102	44	in	in	ADP
cord-005350-19za0msu	102	45	state	state	NOUN
cord-005350-19za0msu	102	46	α	α	PROPN
cord-005350-19za0msu	103	1	=	=	NOUN
cord-005350-19za0msu	103	2	i	i	PRON
cord-005350-19za0msu	103	3	at	at	ADP
cord-005350-19za0msu	103	4	time	time	NOUN
cord-005350-19za0msu	103	5	t	t	PROPN
cord-005350-19za0msu	103	6	is	be	AUX
cord-005350-19za0msu	103	7	whereα	whereα	NOUN
cord-005350-19za0msu	103	8	describes	describe	VERB
cord-005350-19za0msu	103	9	all	all	DET
cord-005350-19za0msu	103	10	other	other	ADJ
cord-005350-19za0msu	103	11	states	state	NOUN
cord-005350-19za0msu	103	12	(	(	PUNCT
cord-005350-19za0msu	103	13	table	table	NOUN
cord-005350-19za0msu	103	14	3	3	NUM
cord-005350-19za0msu	103	15	)	)	PUNCT
cord-005350-19za0msu	103	16	,	,	PUNCT
cord-005350-19za0msu	103	17	and	and	CCONJ
cord-005350-19za0msu	103	18	the	the	DET
cord-005350-19za0msu	103	19	probability	probability	NOUN
cord-005350-19za0msu	103	20	fluxes	flux	VERB
cord-005350-19za0msu	103	21	into	into	ADP
cord-005350-19za0msu	103	22	and	and	CCONJ
cord-005350-19za0msu	103	23	out	out	ADP
cord-005350-19za0msu	103	24	of	of	ADP
cord-005350-19za0msu	103	25	state	state	NOUN
cord-005350-19za0msu	103	26	i	i	PRON
cord-005350-19za0msu	103	27	are	be	AUX
cord-005350-19za0msu	103	28	as	as	SCONJ
cord-005350-19za0msu	103	29	described	describe	VERB
cord-005350-19za0msu	103	30	in	in	ADP
cord-005350-19za0msu	103	31	table	table	NOUN
cord-005350-19za0msu	103	32	2	2	NUM
cord-005350-19za0msu	103	33	.	.	PUNCT
cord-005350-19za0msu	104	1	this	this	PRON
cord-005350-19za0msu	104	2	is	be	AUX
cord-005350-19za0msu	104	3	a	a	DET
cord-005350-19za0msu	104	4	system	system	NOUN
cord-005350-19za0msu	104	5	of	of	ADP
cord-005350-19za0msu	104	6	n	n	ADV
cord-005350-19za0msu	104	7	+1	+1	ADJ
cord-005350-19za0msu	104	8	ordinary	ordinary	ADJ
cord-005350-19za0msu	104	9	differential	differential	ADJ
cord-005350-19za0msu	104	10	equations	equation	NOUN
cord-005350-19za0msu	104	11	,	,	PUNCT
cord-005350-19za0msu	104	12	α	α	PROPN
cord-005350-19za0msu	104	13	=	=	NOUN
cord-005350-19za0msu	104	14	0	0	NUM
cord-005350-19za0msu	104	15	,	,	PUNCT
cord-005350-19za0msu	104	16	1	1	NUM
cord-005350-19za0msu	104	17	,	,	PUNCT
cord-005350-19za0msu	104	18	.	.	PUNCT
cord-005350-19za0msu	104	19	.	.	PUNCT
cord-005350-19za0msu	104	20	.	.	PUNCT
cord-005350-19za0msu	105	1	n	n	X
cord-005350-19za0msu	105	2	,	,	PUNCT
cord-005350-19za0msu	105	3	which	which	PRON
cord-005350-19za0msu	105	4	can	can	AUX
cord-005350-19za0msu	105	5	be	be	AUX
cord-005350-19za0msu	105	6	solved	solve	VERB
cord-005350-19za0msu	105	7	with	with	ADP
cord-005350-19za0msu	105	8	an	an	DET
cord-005350-19za0msu	105	9	initial	initial	ADJ
cord-005350-19za0msu	105	10	condition	condition	NOUN
cord-005350-19za0msu	105	11	of	of	ADP
cord-005350-19za0msu	105	12	i	i	NOUN
cord-005350-19za0msu	105	13	0	0	NUM
cord-005350-19za0msu	105	14	individuals	individual	NOUN
cord-005350-19za0msu	105	15	at	at	ADP
cord-005350-19za0msu	105	16	time	time	NOUN
cord-005350-19za0msu	105	17	t	t	PROPN
cord-005350-19za0msu	105	18	=	=	NOUN
cord-005350-19za0msu	105	19	0	0	NUM
cord-005350-19za0msu	105	20	,	,	PUNCT
cord-005350-19za0msu	105	21	i.e.	i.e.	X
cord-005350-19za0msu	105	22	,	,	PUNCT
cord-005350-19za0msu	105	23	p	p	PROPN
cord-005350-19za0msu	105	24	(	(	PUNCT
cord-005350-19za0msu	105	25	α	α	PROPN
cord-005350-19za0msu	105	26	,	,	PUNCT
cord-005350-19za0msu	105	27	0	0	NUM
cord-005350-19za0msu	105	28	)	)	PUNCT
cord-005350-19za0msu	105	29	=	=	SYM
cord-005350-19za0msu	105	30	1	1	NUM
cord-005350-19za0msu	105	31	for	for	ADP
cord-005350-19za0msu	105	32	α	α	PROPN
cord-005350-19za0msu	105	33	=	=	NOUN
cord-005350-19za0msu	105	34	i	i	NOUN
cord-005350-19za0msu	105	35	0	0	PUNCT
cord-005350-19za0msu	105	36	and	and	CCONJ
cord-005350-19za0msu	105	37	p	p	NOUN
cord-005350-19za0msu	105	38	(	(	PUNCT
cord-005350-19za0msu	105	39	α	α	PROPN
cord-005350-19za0msu	105	40	,	,	PUNCT
cord-005350-19za0msu	105	41	0	0	NUM
cord-005350-19za0msu	105	42	)	)	PUNCT
cord-005350-19za0msu	106	1	=	=	NOUN
cord-005350-19za0msu	106	2	0	0	NUM
cord-005350-19za0msu	106	3	for	for	ADP
cord-005350-19za0msu	106	4	all	all	PRON
cord-005350-19za0msu	106	5	α	α	X
cord-005350-19za0msu	106	6	=	=	NOUN
cord-005350-19za0msu	106	7	i	i	INTJ
cord-005350-19za0msu	106	8	0	0	X
cord-005350-19za0msu	106	9	.	.	PUNCT
cord-005350-19za0msu	107	1	thus	thus	ADV
cord-005350-19za0msu	107	2	,	,	PUNCT
cord-005350-19za0msu	107	3	the	the	DET
cord-005350-19za0msu	107	4	probability	probability	NOUN
cord-005350-19za0msu	107	5	distribution	distribution	NOUN
cord-005350-19za0msu	107	6	at	at	ADP
cord-005350-19za0msu	107	7	time	time	NOUN
cord-005350-19za0msu	107	8	t	t	PROPN
cord-005350-19za0msu	107	9	=	=	NOUN
cord-005350-19za0msu	107	10	0	0	NUM
cord-005350-19za0msu	107	11	is	be	AUX
cord-005350-19za0msu	107	12	a	a	DET
cord-005350-19za0msu	107	13	delta	delta	NOUN
cord-005350-19za0msu	107	14	function	function	NOUN
cord-005350-19za0msu	107	15	.	.	PUNCT
cord-005350-19za0msu	108	1	table	table	NOUN
cord-005350-19za0msu	108	2	3	3	NUM
cord-005350-19za0msu	108	3	summarizes	summarize	VERB
cord-005350-19za0msu	108	4	the	the	DET
cord-005350-19za0msu	108	5	quantities	quantity	NOUN
cord-005350-19za0msu	108	6	in	in	ADP
cord-005350-19za0msu	108	7	eq	eq	PROPN
cord-005350-19za0msu	108	8	.	.	PUNCT
cord-005350-19za0msu	109	1	(	(	PUNCT
cord-005350-19za0msu	109	2	4	4	NUM
cord-005350-19za0msu	109	3	)	)	PUNCT
cord-005350-19za0msu	109	4	.	.	PUNCT
cord-005350-19za0msu	110	1	we	we	PRON
cord-005350-19za0msu	110	2	will	will	AUX
cord-005350-19za0msu	110	3	apply	apply	VERB
cord-005350-19za0msu	110	4	the	the	DET
cord-005350-19za0msu	110	5	van	van	PROPN
cord-005350-19za0msu	110	6	kampen	kampen	NOUN
cord-005350-19za0msu	110	7	system	system	NOUN
cord-005350-19za0msu	110	8	size	size	NOUN
cord-005350-19za0msu	110	9	expansion	expansion	NOUN
cord-005350-19za0msu	110	10	to	to	ADP
cord-005350-19za0msu	110	11	the	the	DET
cord-005350-19za0msu	110	12	master	master	NOUN
cord-005350-19za0msu	110	13	equation	equation	NOUN
cord-005350-19za0msu	110	14	.	.	PUNCT
cord-005350-19za0msu	111	1	the	the	DET
cord-005350-19za0msu	111	2	system	system	NOUN
cord-005350-19za0msu	111	3	size	size	NOUN
cord-005350-19za0msu	111	4	expansion	expansion	NOUN
cord-005350-19za0msu	111	5	takes	take	VERB
cord-005350-19za0msu	111	6	advantage	advantage	NOUN
cord-005350-19za0msu	111	7	of	of	ADP
cord-005350-19za0msu	111	8	the	the	DET
cord-005350-19za0msu	111	9	fact	fact	NOUN
cord-005350-19za0msu	111	10	that	that	SCONJ
cord-005350-19za0msu	111	11	,	,	PUNCT
cord-005350-19za0msu	111	12	for	for	ADP
cord-005350-19za0msu	111	13	large	large	ADJ
cord-005350-19za0msu	111	14	population	population	NOUN
cord-005350-19za0msu	111	15	size	size	NOUN
cord-005350-19za0msu	111	16	n	n	PROPN
cord-005350-19za0msu	111	17	,	,	PUNCT
cord-005350-19za0msu	111	18	the	the	DET
cord-005350-19za0msu	111	19	demographic	demographic	ADJ
cord-005350-19za0msu	111	20	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	111	21	in	in	ADP
cord-005350-19za0msu	111	22	the	the	DET
cord-005350-19za0msu	111	23	population	population	NOUN
cord-005350-19za0msu	111	24	are	be	AUX
cord-005350-19za0msu	111	25	small	small	ADJ
cord-005350-19za0msu	111	26	,	,	PUNCT
cord-005350-19za0msu	111	27	and	and	CCONJ
cord-005350-19za0msu	111	28	so	so	ADV
cord-005350-19za0msu	111	29	n	n	ADV
cord-005350-19za0msu	111	30	is	be	AUX
cord-005350-19za0msu	111	31	the	the	DET
cord-005350-19za0msu	111	32	expansion	expansion	NOUN
cord-005350-19za0msu	111	33	parameter	parameter	NOUN
cord-005350-19za0msu	111	34	.	.	PUNCT
cord-005350-19za0msu	112	1	thus	thus	ADV
cord-005350-19za0msu	112	2	,	,	PUNCT
cord-005350-19za0msu	112	3	the	the	DET
cord-005350-19za0msu	112	4	key	key	ADJ
cord-005350-19za0msu	112	5	assumption	assumption	NOUN
cord-005350-19za0msu	112	6	for	for	SCONJ
cord-005350-19za0msu	112	7	the	the	DET
cord-005350-19za0msu	112	8	expansion	expansion	NOUN
cord-005350-19za0msu	112	9	to	to	PART
cord-005350-19za0msu	112	10	be	be	AUX
cord-005350-19za0msu	112	11	valid	valid	ADJ
cord-005350-19za0msu	112	12	is	be	AUX
cord-005350-19za0msu	112	13	that	that	SCONJ
cord-005350-19za0msu	112	14	the	the	DET
cord-005350-19za0msu	112	15	system	system	NOUN
cord-005350-19za0msu	112	16	size	size	NOUN
cord-005350-19za0msu	112	17	n	n	ADV
cord-005350-19za0msu	112	18	is	be	AUX
cord-005350-19za0msu	112	19	sufficiently	sufficiently	ADV
cord-005350-19za0msu	112	20	large	large	ADJ
cord-005350-19za0msu	112	21	(	(	PUNCT
cord-005350-19za0msu	112	22	see	see	VERB
cord-005350-19za0msu	112	23	appendix	appendix	VERB
cord-005350-19za0msu	112	24	a	a	PRON
cord-005350-19za0msu	112	25	for	for	ADP
cord-005350-19za0msu	112	26	details	detail	NOUN
cord-005350-19za0msu	112	27	)	)	PUNCT
cord-005350-19za0msu	112	28	.	.	PUNCT
cord-005350-19za0msu	113	1	here	here	ADV
cord-005350-19za0msu	113	2	,	,	PUNCT
cord-005350-19za0msu	113	3	we	we	PRON
cord-005350-19za0msu	113	4	pause	pause	VERB
cord-005350-19za0msu	113	5	to	to	PART
cord-005350-19za0msu	113	6	note	note	VERB
cord-005350-19za0msu	113	7	that	that	SCONJ
cord-005350-19za0msu	113	8	that	that	SCONJ
cord-005350-19za0msu	113	9	the	the	DET
cord-005350-19za0msu	113	10	sis	sis	NOUN
cord-005350-19za0msu	113	11	model	model	NOUN
cord-005350-19za0msu	113	12	is	be	AUX
cord-005350-19za0msu	113	13	equivalent	equivalent	ADJ
cord-005350-19za0msu	113	14	to	to	ADP
cord-005350-19za0msu	113	15	a	a	DET
cord-005350-19za0msu	113	16	simple	simple	ADJ
cord-005350-19za0msu	113	17	logistic	logistic	ADJ
cord-005350-19za0msu	113	18	process	process	NOUN
cord-005350-19za0msu	113	19	,	,	PUNCT
cord-005350-19za0msu	113	20	and	and	CCONJ
cord-005350-19za0msu	113	21	hence	hence	ADV
cord-005350-19za0msu	113	22	,	,	PUNCT
cord-005350-19za0msu	113	23	there	there	PRON
cord-005350-19za0msu	113	24	are	be	VERB
cord-005350-19za0msu	113	25	analytical	analytical	ADJ
cord-005350-19za0msu	113	26	expressions	expression	NOUN
cord-005350-19za0msu	113	27	note	note	VERB
cord-005350-19za0msu	113	28	that	that	SCONJ
cord-005350-19za0msu	113	29	β	β	NOUN
cord-005350-19za0msu	113	30	is	be	AUX
cord-005350-19za0msu	113	31	treated	treat	VERB
cord-005350-19za0msu	113	32	as	as	ADV
cord-005350-19za0msu	113	33	constant	constant	ADJ
cord-005350-19za0msu	113	34	in	in	ADP
cord-005350-19za0msu	113	35	a	a	DET
cord-005350-19za0msu	113	36	small	small	ADJ
cord-005350-19za0msu	113	37	time	time	NOUN
cord-005350-19za0msu	113	38	increment	increment	NOUN
cord-005350-19za0msu	113	39	dt	dt	PROPN
cord-005350-19za0msu	113	40	,	,	PUNCT
cord-005350-19za0msu	113	41	but	but	CCONJ
cord-005350-19za0msu	113	42	the	the	DET
cord-005350-19za0msu	113	43	transmission	transmission	NOUN
cord-005350-19za0msu	113	44	depends	depend	VERB
cord-005350-19za0msu	113	45	on	on	ADP
cord-005350-19za0msu	113	46	a	a	DET
cord-005350-19za0msu	113	47	slowly	slowly	ADV
cord-005350-19za0msu	113	48	changing	change	VERB
cord-005350-19za0msu	113	49	linear	linear	ADJ
cord-005350-19za0msu	113	50	function	function	NOUN
cord-005350-19za0msu	113	51	of	of	ADP
cord-005350-19za0msu	113	52	time	time	NOUN
cord-005350-19za0msu	113	53	,	,	PUNCT
cord-005350-19za0msu	113	54	β(t	β(t	PROPN
cord-005350-19za0msu	113	55	)	)	PUNCT
cord-005350-19za0msu	113	56	=	=	PROPN
cord-005350-19za0msu	113	57	β(1	β(1	PUNCT
cord-005350-19za0msu	113	58	−	−	PROPN
cord-005350-19za0msu	113	59	p(t	p(t	NOUN
cord-005350-19za0msu	113	60	)	)	PUNCT
cord-005350-19za0msu	113	61	)	)	PUNCT
cord-005350-19za0msu	114	1	=	=	PROPN
cord-005350-19za0msu	114	2	β(1	β(1	PUNCT
cord-005350-19za0msu	114	3	−	−	PROPN
cord-005350-19za0msu	114	4	(	(	PUNCT
cord-005350-19za0msu	114	5	p	p	NOUN
cord-005350-19za0msu	114	6	s	s	PROPN
cord-005350-19za0msu	114	7	+	+	X
cord-005350-19za0msu	114	8	p	p	NOUN
cord-005350-19za0msu	114	9	0	0	NUM
cord-005350-19za0msu	114	10	t	t	NOUN
cord-005350-19za0msu	114	11	)	)	PUNCT
cord-005350-19za0msu	114	12	)	)	PUNCT
cord-005350-19za0msu	114	13	.	.	PUNCT
cord-005350-19za0msu	115	1	table	table	NOUN
cord-005350-19za0msu	115	2	1	1	NUM
cord-005350-19za0msu	115	3	summarizes	summarize	VERB
cord-005350-19za0msu	115	4	the	the	DET
cord-005350-19za0msu	115	5	parameters	parameter	NOUN
cord-005350-19za0msu	115	6	in	in	ADP
cord-005350-19za0msu	115	7	the	the	DET
cord-005350-19za0msu	115	8	rates	rate	NOUN
cord-005350-19za0msu	115	9	table	table	VERB
cord-005350-19za0msu	115	10	3	3	NUM
cord-005350-19za0msu	115	11	master	master	NOUN
cord-005350-19za0msu	115	12	equation	equation	NOUN
cord-005350-19za0msu	115	13	terms	term	NOUN
cord-005350-19za0msu	115	14	.	.	PUNCT
cord-005350-19za0msu	116	1	the	the	DET
cord-005350-19za0msu	116	2	transition	transition	NOUN
cord-005350-19za0msu	116	3	probability	probability	NOUN
cord-005350-19za0msu	116	4	of	of	ADP
cord-005350-19za0msu	116	5	infection	infection	NOUN
cord-005350-19za0msu	116	6	per	per	ADP
cord-005350-19za0msu	116	7	unit	unit	NOUN
cord-005350-19za0msu	116	8	time	time	NOUN
cord-005350-19za0msu	116	9	is	be	AUX
cord-005350-19za0msu	116	10	given	give	VERB
cord-005350-19za0msu	116	11	as	as	ADP
cord-005350-19za0msu	116	12	an	an	DET
cord-005350-19za0msu	116	13	example	example	NOUN
cord-005350-19za0msu	116	14	of	of	ADP
cord-005350-19za0msu	116	15	a	a	DET
cord-005350-19za0msu	116	16	transition	transition	NOUN
cord-005350-19za0msu	116	17	into	into	ADP
cord-005350-19za0msu	116	18	and	and	CCONJ
cord-005350-19za0msu	116	19	out	out	ADP
cord-005350-19za0msu	116	20	of	of	ADP
cord-005350-19za0msu	116	21	state	state	NOUN
cord-005350-19za0msu	116	22	α	α	NOUN
cord-005350-19za0msu	116	23	for	for	ADP
cord-005350-19za0msu	116	24	the	the	DET
cord-005350-19za0msu	116	25	sis	sis	NOUN
cord-005350-19za0msu	116	26	and	and	CCONJ
cord-005350-19za0msu	116	27	sir	sir	PROPN
cord-005350-19za0msu	116	28	stochastic	stochastic	NOUN
cord-005350-19za0msu	116	29	processes	process	NOUN
cord-005350-19za0msu	116	30	.	.	PUNCT
cord-005350-19za0msu	117	1	the	the	DET
cord-005350-19za0msu	117	2	other	other	ADJ
cord-005350-19za0msu	117	3	transition	transition	NOUN
cord-005350-19za0msu	117	4	probability	probability	NOUN
cord-005350-19za0msu	117	5	fluxes	flux	NOUN
cord-005350-19za0msu	117	6	can	can	AUX
cord-005350-19za0msu	117	7	be	be	AUX
cord-005350-19za0msu	117	8	found	find	VERB
cord-005350-19za0msu	117	9	in	in	ADP
cord-005350-19za0msu	117	10	tables	table	NOUN
cord-005350-19za0msu	117	11	2	2	NUM
cord-005350-19za0msu	117	12	and	and	CCONJ
cord-005350-19za0msu	117	13	6	6	NUM
cord-005350-19za0msu	117	14	system	system	NOUN
cord-005350-19za0msu	117	15	state	state	NOUN
cord-005350-19za0msu	117	16	α	α	X
cord-005350-19za0msu	117	17	alternative	alternative	ADJ
cord-005350-19za0msu	117	18	statesα	statesα	NOUN
cord-005350-19za0msu	117	19	sis	sis	NOUN
cord-005350-19za0msu	118	1	i	i	PRON
cord-005350-19za0msu	118	2	i	i	PRON
cord-005350-19za0msu	118	3	+	+	NOUN
cord-005350-19za0msu	118	4	1	1	NUM
cord-005350-19za0msu	118	5	,	,	PUNCT
cord-005350-19za0msu	118	6	i	i	NOUN
cord-005350-19za0msu	118	7	−	−	SYM
cord-005350-19za0msu	118	8	1	1	NUM
cord-005350-19za0msu	118	9	sir	sir	PROPN
cord-005350-19za0msu	118	10	(	(	PUNCT
cord-005350-19za0msu	118	11	s	s	PROPN
cord-005350-19za0msu	118	12	,	,	PUNCT
cord-005350-19za0msu	118	13	i	i	NOUN
cord-005350-19za0msu	118	14	)	)	PUNCT
cord-005350-19za0msu	118	15	(	(	PUNCT
cord-005350-19za0msu	118	16	s	s	NOUN
cord-005350-19za0msu	118	17	+	+	NUM
cord-005350-19za0msu	118	18	1	1	NUM
cord-005350-19za0msu	118	19	,	,	PUNCT
cord-005350-19za0msu	118	20	i	i	NOUN
cord-005350-19za0msu	118	21	−	−	NOUN
cord-005350-19za0msu	118	22	1	1	NUM
cord-005350-19za0msu	118	23	)	)	PUNCT
cord-005350-19za0msu	118	24	,	,	PUNCT
cord-005350-19za0msu	118	25	(	(	PUNCT
cord-005350-19za0msu	118	26	s	s	X
cord-005350-19za0msu	118	27	−	−	PROPN
cord-005350-19za0msu	118	28	1	1	NUM
cord-005350-19za0msu	118	29	,	,	PUNCT
cord-005350-19za0msu	118	30	i	i	PRON
cord-005350-19za0msu	118	31	)	)	PUNCT
cord-005350-19za0msu	118	32	,	,	PUNCT
cord-005350-19za0msu	118	33	(	(	PUNCT
cord-005350-19za0msu	118	34	s	s	NOUN
cord-005350-19za0msu	118	35	+	+	NUM
cord-005350-19za0msu	118	36	1	1	NUM
cord-005350-19za0msu	118	37	,	,	PUNCT
cord-005350-19za0msu	118	38	i	i	NOUN
cord-005350-19za0msu	118	39	)	)	PUNCT
cord-005350-19za0msu	118	40	,	,	PUNCT
cord-005350-19za0msu	118	41	(	(	PUNCT
cord-005350-19za0msu	118	42	s	s	X
cord-005350-19za0msu	118	43	,	,	PUNCT
cord-005350-19za0msu	118	44	i	i	NOUN
cord-005350-19za0msu	118	45	−	−	SYM
cord-005350-19za0msu	118	46	1	1	NUM
cord-005350-19za0msu	118	47	)	)	PUNCT
cord-005350-19za0msu	118	48	,	,	PUNCT
cord-005350-19za0msu	118	49	(	(	PUNCT
cord-005350-19za0msu	118	50	s	s	X
cord-005350-19za0msu	118	51	,	,	PUNCT
cord-005350-19za0msu	118	52	i	i	PRON
cord-005350-19za0msu	118	53	+	+	NUM
cord-005350-19za0msu	118	54	1	1	NUM
cord-005350-19za0msu	118	55	)	)	PUNCT
cord-005350-19za0msu	118	56	system	system	NOUN
cord-005350-19za0msu	118	57	probability	probability	NOUN
cord-005350-19za0msu	118	58	flux	flux	NOUN
cord-005350-19za0msu	118	59	into	into	ADP
cord-005350-19za0msu	118	60	α	α	PROPN
cord-005350-19za0msu	118	61	probability	probability	NOUN
cord-005350-19za0msu	118	62	flux	flux	NOUN
cord-005350-19za0msu	118	63	out	out	ADP
cord-005350-19za0msu	118	64	of	of	ADP
cord-005350-19za0msu	118	65	α	α	NOUN
cord-005350-19za0msu	118	66	for	for	ADP
cord-005350-19za0msu	118	67	the	the	DET
cord-005350-19za0msu	118	68	mean	mean	NOUN
cord-005350-19za0msu	118	69	and	and	CCONJ
cord-005350-19za0msu	118	70	variance	variance	NOUN
cord-005350-19za0msu	118	71	(	(	PUNCT
cord-005350-19za0msu	118	72	allen	allen	PROPN
cord-005350-19za0msu	118	73	2003	2003	NUM
cord-005350-19za0msu	118	74	)	)	PUNCT
cord-005350-19za0msu	118	75	.	.	PUNCT
cord-005350-19za0msu	119	1	the	the	DET
cord-005350-19za0msu	119	2	i	i	PROPN
cord-005350-19za0msu	119	3	=	=	SYM
cord-005350-19za0msu	119	4	0	0	NUM
cord-005350-19za0msu	119	5	state	state	NOUN
cord-005350-19za0msu	119	6	is	be	AUX
cord-005350-19za0msu	119	7	absorbing	absorb	VERB
cord-005350-19za0msu	119	8	,	,	PUNCT
cord-005350-19za0msu	119	9	and	and	CCONJ
cord-005350-19za0msu	119	10	the	the	DET
cord-005350-19za0msu	119	11	expected	expect	VERB
cord-005350-19za0msu	119	12	time	time	NOUN
cord-005350-19za0msu	119	13	to	to	ADP
cord-005350-19za0msu	119	14	extinction	extinction	NOUN
cord-005350-19za0msu	119	15	is	be	AUX
cord-005350-19za0msu	119	16	finite	finite	ADJ
cord-005350-19za0msu	119	17	(	(	PUNCT
cord-005350-19za0msu	119	18	allen	allen	PROPN
cord-005350-19za0msu	119	19	2003	2003	NUM
cord-005350-19za0msu	119	20	)	)	PUNCT
cord-005350-19za0msu	119	21	.	.	PUNCT
cord-005350-19za0msu	120	1	nevertheless	nevertheless	ADV
cord-005350-19za0msu	120	2	,	,	PUNCT
cord-005350-19za0msu	120	3	if	if	SCONJ
cord-005350-19za0msu	120	4	the	the	DET
cord-005350-19za0msu	120	5	population	population	NOUN
cord-005350-19za0msu	120	6	size	size	NOUN
cord-005350-19za0msu	120	7	is	be	AUX
cord-005350-19za0msu	120	8	large	large	ADJ
cord-005350-19za0msu	120	9	,	,	PUNCT
cord-005350-19za0msu	120	10	the	the	DET
cord-005350-19za0msu	120	11	probability	probability	NOUN
cord-005350-19za0msu	120	12	distribution	distribution	NOUN
cord-005350-19za0msu	120	13	is	be	AUX
cord-005350-19za0msu	120	14	approximately	approximately	ADV
cord-005350-19za0msu	120	15	stationary	stationary	ADJ
cord-005350-19za0msu	120	16	for	for	ADP
cord-005350-19za0msu	120	17	a	a	DET
cord-005350-19za0msu	120	18	very	very	ADV
cord-005350-19za0msu	120	19	long	long	ADJ
cord-005350-19za0msu	120	20	time	time	NOUN
cord-005350-19za0msu	120	21	.	.	PUNCT
cord-005350-19za0msu	121	1	it	it	PRON
cord-005350-19za0msu	121	2	is	be	AUX
cord-005350-19za0msu	121	3	the	the	DET
cord-005350-19za0msu	121	4	statistics	statistic	NOUN
cord-005350-19za0msu	121	5	of	of	ADP
cord-005350-19za0msu	121	6	this	this	DET
cord-005350-19za0msu	121	7	quasi	quasi	ADJ
cord-005350-19za0msu	121	8	-	-	ADJ
cord-005350-19za0msu	121	9	stationary	stationary	ADJ
cord-005350-19za0msu	121	10	distribution	distribution	NOUN
cord-005350-19za0msu	121	11	that	that	PRON
cord-005350-19za0msu	121	12	we	we	PRON
cord-005350-19za0msu	121	13	are	be	AUX
cord-005350-19za0msu	121	14	interested	interested	ADJ
cord-005350-19za0msu	121	15	in	in	ADP
cord-005350-19za0msu	121	16	.	.	PUNCT
cord-005350-19za0msu	122	1	following	follow	VERB
cord-005350-19za0msu	122	2	expansion	expansion	NOUN
cord-005350-19za0msu	122	3	of	of	ADP
cord-005350-19za0msu	122	4	the	the	DET
cord-005350-19za0msu	122	5	master	master	NOUN
cord-005350-19za0msu	122	6	equation	equation	NOUN
cord-005350-19za0msu	122	7	,	,	PUNCT
cord-005350-19za0msu	122	8	the	the	DET
cord-005350-19za0msu	122	9	leading	lead	VERB
cord-005350-19za0msu	122	10	order	order	NOUN
cord-005350-19za0msu	122	11	and	and	CCONJ
cord-005350-19za0msu	122	12	next	next	ADV
cord-005350-19za0msu	122	13	-	-	PUNCT
cord-005350-19za0msu	122	14	to	to	ADP
cord-005350-19za0msu	122	15	-	-	PUNCT
cord-005350-19za0msu	122	16	leading	lead	VERB
cord-005350-19za0msu	122	17	order	order	NOUN
cord-005350-19za0msu	122	18	terms	term	NOUN
cord-005350-19za0msu	122	19	are	be	AUX
cord-005350-19za0msu	122	20	collected	collect	VERB
cord-005350-19za0msu	122	21	,	,	PUNCT
cord-005350-19za0msu	122	22	giving	give	VERB
cord-005350-19za0msu	122	23	rise	rise	NOUN
cord-005350-19za0msu	122	24	to	to	ADP
cord-005350-19za0msu	122	25	a	a	DET
cord-005350-19za0msu	122	26	deterministic	deterministic	ADJ
cord-005350-19za0msu	122	27	system	system	NOUN
cord-005350-19za0msu	122	28	that	that	PRON
cord-005350-19za0msu	122	29	describes	describe	VERB
cord-005350-19za0msu	122	30	the	the	DET
cord-005350-19za0msu	122	31	evolution	evolution	NOUN
cord-005350-19za0msu	122	32	of	of	ADP
cord-005350-19za0msu	122	33	the	the	DET
cord-005350-19za0msu	122	34	trend	trend	NOUN
cord-005350-19za0msu	122	35	and	and	CCONJ
cord-005350-19za0msu	122	36	its	its	PRON
cord-005350-19za0msu	122	37	stochastic	stochastic	ADJ
cord-005350-19za0msu	122	38	correction	correction	NOUN
cord-005350-19za0msu	122	39	,	,	PUNCT
cord-005350-19za0msu	122	40	respectively	respectively	ADV
cord-005350-19za0msu	122	41	,	,	PUNCT
cord-005350-19za0msu	122	42	see	see	AUX
cord-005350-19za0msu	122	43	appendix	appendix	VERB
cord-005350-19za0msu	122	44	a	a	PRON
cord-005350-19za0msu	122	45	for	for	ADP
cord-005350-19za0msu	122	46	details	detail	NOUN
cord-005350-19za0msu	122	47	.	.	PUNCT
cord-005350-19za0msu	123	1	the	the	DET
cord-005350-19za0msu	123	2	deterministic	deterministic	ADJ
cord-005350-19za0msu	123	3	system	system	NOUN
cord-005350-19za0msu	123	4	turns	turn	VERB
cord-005350-19za0msu	123	5	out	out	ADP
cord-005350-19za0msu	123	6	to	to	PART
cord-005350-19za0msu	123	7	be	be	AUX
cord-005350-19za0msu	123	8	the	the	DET
cord-005350-19za0msu	123	9	fast	fast	ADV
cord-005350-19za0msu	123	10	-	-	PUNCT
cord-005350-19za0msu	123	11	slow	slow	ADJ
cord-005350-19za0msu	123	12	system	system	NOUN
cord-005350-19za0msu	123	13	(	(	PUNCT
cord-005350-19za0msu	123	14	3	3	NUM
cord-005350-19za0msu	123	15	)	)	PUNCT
cord-005350-19za0msu	123	16	.	.	PUNCT
cord-005350-19za0msu	124	1	the	the	DET
cord-005350-19za0msu	124	2	distribution	distribution	NOUN
cord-005350-19za0msu	124	3	of	of	ADP
cord-005350-19za0msu	124	4	the	the	DET
cord-005350-19za0msu	124	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	124	6	about	about	ADP
cord-005350-19za0msu	124	7	the	the	DET
cord-005350-19za0msu	124	8	solution	solution	NOUN
cord-005350-19za0msu	124	9	of	of	ADP
cord-005350-19za0msu	124	10	eq	eq	PROPN
cord-005350-19za0msu	124	11	.	.	PUNCT
cord-005350-19za0msu	124	12	(	(	PUNCT
cord-005350-19za0msu	124	13	3	3	NUM
cord-005350-19za0msu	124	14	)	)	PUNCT
cord-005350-19za0msu	124	15	is	be	AUX
cord-005350-19za0msu	124	16	given	give	VERB
cord-005350-19za0msu	124	17	by	by	ADP
cord-005350-19za0msu	124	18	a	a	DET
cord-005350-19za0msu	124	19	linear	linear	ADJ
cord-005350-19za0msu	124	20	fokker	fokker	NOUN
cord-005350-19za0msu	124	21	-	-	PUNCT
cord-005350-19za0msu	124	22	planck	planck	NOUN
cord-005350-19za0msu	124	23	equation	equation	NOUN
cord-005350-19za0msu	124	24	.	.	PUNCT
cord-005350-19za0msu	125	1	thus	thus	ADV
cord-005350-19za0msu	125	2	the	the	DET
cord-005350-19za0msu	125	3	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	125	4	are	be	AUX
cord-005350-19za0msu	125	5	gaussian	gaussian	ADJ
cord-005350-19za0msu	125	6	distributed	distribute	VERB
cord-005350-19za0msu	125	7	about	about	ADP
cord-005350-19za0msu	125	8	the	the	DET
cord-005350-19za0msu	125	9	mean	mean	NOUN
cord-005350-19za0msu	125	10	,	,	PUNCT
cord-005350-19za0msu	125	11	and	and	CCONJ
cord-005350-19za0msu	125	12	thus	thus	ADV
cord-005350-19za0msu	125	13	,	,	PUNCT
cord-005350-19za0msu	125	14	i	i	PROPN
cord-005350-19za0msu	125	15	(	(	PUNCT
cord-005350-19za0msu	125	16	t	t	NOUN
cord-005350-19za0msu	125	17	)	)	PUNCT
cord-005350-19za0msu	125	18	∼	∼	PROPN
cord-005350-19za0msu	125	19	normal(nϕ(t	normal(nϕ(t	ADV
cord-005350-19za0msu	125	20	)	)	PUNCT
cord-005350-19za0msu	125	21	,	,	PUNCT
cord-005350-19za0msu	125	22	nσ	nσ	PROPN
cord-005350-19za0msu	125	23	2	2	NUM
cord-005350-19za0msu	125	24	)	)	PUNCT
cord-005350-19za0msu	125	25	,	,	PUNCT
cord-005350-19za0msu	125	26	see	see	VERB
cord-005350-19za0msu	125	27	appendix	appendix	VERB
cord-005350-19za0msu	125	28	a	a	PRON
cord-005350-19za0msu	125	29	for	for	ADP
cord-005350-19za0msu	125	30	details	detail	NOUN
cord-005350-19za0msu	125	31	and	and	CCONJ
cord-005350-19za0msu	125	32	definitions	definition	NOUN
cord-005350-19za0msu	125	33	.	.	PUNCT
cord-005350-19za0msu	126	1	the	the	DET
cord-005350-19za0msu	126	2	fokker	fokker	NOUN
cord-005350-19za0msu	126	3	-	-	PUNCT
cord-005350-19za0msu	126	4	planck	planck	NOUN
cord-005350-19za0msu	126	5	equation	equation	NOUN
cord-005350-19za0msu	126	6	is	be	AUX
cord-005350-19za0msu	126	7	equivalent	equivalent	ADJ
cord-005350-19za0msu	126	8	to	to	ADP
cord-005350-19za0msu	126	9	a	a	DET
cord-005350-19za0msu	126	10	stochastic	stochastic	ADJ
cord-005350-19za0msu	126	11	differential	differential	ADJ
cord-005350-19za0msu	126	12	equation	equation	NOUN
cord-005350-19za0msu	126	13	(	(	PUNCT
cord-005350-19za0msu	126	14	gardiner	gardiner	NOUN
cord-005350-19za0msu	126	15	2004	2004	NUM
cord-005350-19za0msu	126	16	)	)	PUNCT
cord-005350-19za0msu	126	17	.	.	PUNCT
cord-005350-19za0msu	127	1	this	this	PRON
cord-005350-19za0msu	127	2	is	be	AUX
cord-005350-19za0msu	127	3	the	the	DET
cord-005350-19za0msu	127	4	key	key	ADJ
cord-005350-19za0msu	127	5	advantage	advantage	NOUN
cord-005350-19za0msu	127	6	of	of	ADP
cord-005350-19za0msu	127	7	applying	apply	VERB
cord-005350-19za0msu	127	8	the	the	DET
cord-005350-19za0msu	127	9	system	system	NOUN
cord-005350-19za0msu	127	10	size	size	NOUN
cord-005350-19za0msu	127	11	expansion	expansion	NOUN
cord-005350-19za0msu	127	12	.	.	PUNCT
cord-005350-19za0msu	128	1	using	use	VERB
cord-005350-19za0msu	128	2	the	the	DET
cord-005350-19za0msu	128	3	stochastic	stochastic	ADJ
cord-005350-19za0msu	128	4	differential	differential	ADJ
cord-005350-19za0msu	128	5	equation	equation	NOUN
cord-005350-19za0msu	128	6	,	,	PUNCT
cord-005350-19za0msu	128	7	we	we	PRON
cord-005350-19za0msu	128	8	can	can	AUX
cord-005350-19za0msu	128	9	obtain	obtain	VERB
cord-005350-19za0msu	128	10	analytical	analytical	ADJ
cord-005350-19za0msu	128	11	expressions	expression	NOUN
cord-005350-19za0msu	128	12	for	for	ADP
cord-005350-19za0msu	128	13	statistical	statistical	ADJ
cord-005350-19za0msu	128	14	signatures	signature	NOUN
cord-005350-19za0msu	128	15	of	of	ADP
cord-005350-19za0msu	128	16	leading	lead	VERB
cord-005350-19za0msu	128	17	indicators	indicator	NOUN
cord-005350-19za0msu	128	18	and	and	CCONJ
cord-005350-19za0msu	128	19	early	early	ADJ
cord-005350-19za0msu	128	20	warning	warning	NOUN
cord-005350-19za0msu	128	21	signals	signal	NOUN
cord-005350-19za0msu	128	22	,	,	PUNCT
cord-005350-19za0msu	128	23	including	include	VERB
cord-005350-19za0msu	128	24	the	the	DET
cord-005350-19za0msu	128	25	power	power	NOUN
cord-005350-19za0msu	128	26	spectrum	spectrum	NOUN
cord-005350-19za0msu	128	27	and	and	CCONJ
cord-005350-19za0msu	128	28	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	128	29	function	function	NOUN
cord-005350-19za0msu	128	30	(	(	PUNCT
cord-005350-19za0msu	128	31	see	see	VERB
cord-005350-19za0msu	128	32	appendix	appendix	VERB
cord-005350-19za0msu	128	33	a	a	PRON
cord-005350-19za0msu	128	34	for	for	ADP
cord-005350-19za0msu	128	35	details	detail	NOUN
cord-005350-19za0msu	128	36	)	)	PUNCT
cord-005350-19za0msu	128	37	.	.	PUNCT
cord-005350-19za0msu	129	1	table	table	NOUN
cord-005350-19za0msu	129	2	4	4	NUM
cord-005350-19za0msu	129	3	summarizes	summarize	VERB
cord-005350-19za0msu	129	4	the	the	DET
cord-005350-19za0msu	129	5	indicator	indicator	NOUN
cord-005350-19za0msu	129	6	statistics	statistic	NOUN
cord-005350-19za0msu	129	7	calculated	calculate	VERB
cord-005350-19za0msu	129	8	using	use	VERB
cord-005350-19za0msu	129	9	the	the	DET
cord-005350-19za0msu	129	10	methods	method	NOUN
cord-005350-19za0msu	129	11	described	describe	VERB
cord-005350-19za0msu	129	12	in	in	ADP
cord-005350-19za0msu	129	13	appendix	appendix	PROPN
cord-005350-19za0msu	129	14	a	a	PRON
cord-005350-19za0msu	129	15	for	for	ADP
cord-005350-19za0msu	129	16	the	the	DET
cord-005350-19za0msu	129	17	stable	stable	ADJ
cord-005350-19za0msu	129	18	limiting	limiting	NOUN
cord-005350-19za0msu	129	19	case	case	NOUN
cord-005350-19za0msu	129	20	→	→	ADP
cord-005350-19za0msu	129	21	0	0	NUM
cord-005350-19za0msu	129	22	for	for	ADP
cord-005350-19za0msu	129	23	the	the	DET
cord-005350-19za0msu	129	24	sis	sis	PROPN
cord-005350-19za0msu	129	25	model	model	NOUN
cord-005350-19za0msu	129	26	,	,	PUNCT
cord-005350-19za0msu	129	27	in	in	ADP
cord-005350-19za0msu	129	28	terms	term	NOUN
cord-005350-19za0msu	129	29	of	of	ADP
cord-005350-19za0msu	129	30	the	the	DET
cord-005350-19za0msu	129	31	eigenvalue	eigenvalue	NOUN
cord-005350-19za0msu	129	32	λ	λ	PROPN
cord-005350-19za0msu	129	33	.	.	PUNCT
cord-005350-19za0msu	130	1	we	we	PRON
cord-005350-19za0msu	130	2	will	will	AUX
cord-005350-19za0msu	130	3	examine	examine	VERB
cord-005350-19za0msu	130	4	how	how	SCONJ
cord-005350-19za0msu	130	5	the	the	DET
cord-005350-19za0msu	130	6	statistics	statistic	NOUN
cord-005350-19za0msu	130	7	change	change	VERB
cord-005350-19za0msu	130	8	over	over	ADP
cord-005350-19za0msu	130	9	a	a	DET
cord-005350-19za0msu	130	10	range	range	NOUN
cord-005350-19za0msu	130	11	of	of	ADP
cord-005350-19za0msu	130	12	vaccination	vaccination	NOUN
cord-005350-19za0msu	130	13	uptake	uptake	NOUN
cord-005350-19za0msu	130	14	values	value	NOUN
cord-005350-19za0msu	130	15	in	in	ADP
cord-005350-19za0msu	130	16	section	section	NOUN
cord-005350-19za0msu	130	17	"	"	PUNCT
cord-005350-19za0msu	130	18	results	result	NOUN
cord-005350-19za0msu	130	19	"	"	PUNCT
cord-005350-19za0msu	130	20	.	.	PUNCT
cord-005350-19za0msu	131	1	since	since	SCONJ
cord-005350-19za0msu	131	2	the	the	DET
cord-005350-19za0msu	131	3	system	system	NOUN
cord-005350-19za0msu	131	4	size	size	NOUN
cord-005350-19za0msu	131	5	expansion	expansion	NOUN
cord-005350-19za0msu	131	6	involves	involve	VERB
cord-005350-19za0msu	131	7	approximating	approximate	VERB
cord-005350-19za0msu	131	8	the	the	DET
cord-005350-19za0msu	131	9	discrete	discrete	ADJ
cord-005350-19za0msu	131	10	random	random	ADJ
cord-005350-19za0msu	131	11	variable	variable	NOUN
cord-005350-19za0msu	131	12	i	i	PRON
cord-005350-19za0msu	131	13	with	with	ADP
cord-005350-19za0msu	131	14	a	a	DET
cord-005350-19za0msu	131	15	normal	normal	ADJ
cord-005350-19za0msu	131	16	random	random	ADJ
cord-005350-19za0msu	131	17	variable	variable	NOUN
cord-005350-19za0msu	131	18	,	,	PUNCT
cord-005350-19za0msu	131	19	its	its	PRON
cord-005350-19za0msu	131	20	assumptions	assumption	NOUN
cord-005350-19za0msu	131	21	may	may	AUX
cord-005350-19za0msu	131	22	break	break	VERB
cord-005350-19za0msu	131	23	down	down	ADP
cord-005350-19za0msu	131	24	when	when	SCONJ
cord-005350-19za0msu	131	25	i	i	PRON
cord-005350-19za0msu	131	26	is	be	AUX
cord-005350-19za0msu	131	27	small	small	ADJ
cord-005350-19za0msu	131	28	.	.	PUNCT
cord-005350-19za0msu	132	1	for	for	ADP
cord-005350-19za0msu	132	2	small	small	ADJ
cord-005350-19za0msu	132	3	numbers	number	NOUN
cord-005350-19za0msu	132	4	of	of	ADP
cord-005350-19za0msu	132	5	infectious	infectious	ADJ
cord-005350-19za0msu	132	6	individuals	individual	NOUN
cord-005350-19za0msu	132	7	,	,	PUNCT
cord-005350-19za0msu	132	8	e.g.	e.g.	ADV
cord-005350-19za0msu	132	9	,	,	PUNCT
cord-005350-19za0msu	132	10	if	if	SCONJ
cord-005350-19za0msu	132	11	the	the	DET
cord-005350-19za0msu	132	12	system	system	NOUN
cord-005350-19za0msu	132	13	is	be	AUX
cord-005350-19za0msu	132	14	subcritical	subcritical	ADJ
cord-005350-19za0msu	132	15	and	and	CCONJ
cord-005350-19za0msu	132	16	,	,	PUNCT
cord-005350-19za0msu	132	17	thus	thus	ADV
cord-005350-19za0msu	132	18	,	,	PUNCT
cord-005350-19za0msu	132	19	incidence	incidence	NOUN
cord-005350-19za0msu	132	20	of	of	ADP
cord-005350-19za0msu	132	21	a	a	DET
cord-005350-19za0msu	132	22	disease	disease	NOUN
cord-005350-19za0msu	132	23	is	be	AUX
cord-005350-19za0msu	132	24	low	low	ADJ
cord-005350-19za0msu	132	25	,	,	PUNCT
cord-005350-19za0msu	132	26	the	the	DET
cord-005350-19za0msu	132	27	assumption	assumption	NOUN
cord-005350-19za0msu	132	28	that	that	SCONJ
cord-005350-19za0msu	132	29	the	the	DET
cord-005350-19za0msu	132	30	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	132	31	are	be	AUX
cord-005350-19za0msu	132	32	normally	normally	ADV
cord-005350-19za0msu	132	33	distributed	distribute	VERB
cord-005350-19za0msu	132	34	about	about	ADP
cord-005350-19za0msu	132	35	the	the	DET
cord-005350-19za0msu	132	36	mean	mean	NOUN
cord-005350-19za0msu	132	37	is	be	AUX
cord-005350-19za0msu	132	38	likely	likely	ADJ
cord-005350-19za0msu	132	39	to	to	PART
cord-005350-19za0msu	132	40	be	be	AUX
cord-005350-19za0msu	132	41	inappropriate	inappropriate	ADJ
cord-005350-19za0msu	132	42	.	.	PUNCT
cord-005350-19za0msu	133	1	the	the	DET
cord-005350-19za0msu	133	2	van	van	PROPN
cord-005350-19za0msu	133	3	kampen	kampen	PROPN
cord-005350-19za0msu	133	4	expansion	expansion	NOUN
cord-005350-19za0msu	133	5	is	be	AUX
cord-005350-19za0msu	133	6	valid	valid	ADJ
cord-005350-19za0msu	133	7	when	when	SCONJ
cord-005350-19za0msu	133	8	the	the	DET
cord-005350-19za0msu	133	9	system	system	NOUN
cord-005350-19za0msu	133	10	is	be	AUX
cord-005350-19za0msu	133	11	far	far	ADV
cord-005350-19za0msu	133	12	from	from	ADP
cord-005350-19za0msu	133	13	the	the	DET
cord-005350-19za0msu	133	14	absorbing	absorbing	ADJ
cord-005350-19za0msu	133	15	boundary	boundary	NOUN
cord-005350-19za0msu	133	16	at	at	ADP
cord-005350-19za0msu	133	17	i	i	PRON
cord-005350-19za0msu	133	18	=	=	NOUN
cord-005350-19za0msu	133	19	0	0	NUM
cord-005350-19za0msu	133	20	.	.	PUNCT
cord-005350-19za0msu	134	1	however	however	ADV
cord-005350-19za0msu	134	2	,	,	PUNCT
cord-005350-19za0msu	134	3	the	the	DET
cord-005350-19za0msu	134	4	approximation	approximation	NOUN
cord-005350-19za0msu	134	5	upon	upon	SCONJ
cord-005350-19za0msu	134	6	which	which	PRON
cord-005350-19za0msu	134	7	the	the	DET
cord-005350-19za0msu	134	8	approach	approach	NOUN
cord-005350-19za0msu	134	9	is	be	AUX
cord-005350-19za0msu	134	10	built	build	VERB
cord-005350-19za0msu	134	11	(	(	PUNCT
cord-005350-19za0msu	134	12	eq	eq	PROPN
cord-005350-19za0msu	134	13	.	.	PUNCT
cord-005350-19za0msu	134	14	(	(	PUNCT
cord-005350-19za0msu	134	15	10	10	NUM
cord-005350-19za0msu	134	16	)	)	PUNCT
cord-005350-19za0msu	134	17	in	in	ADP
cord-005350-19za0msu	134	18	appendix	appendix	PROPN
cord-005350-19za0msu	134	19	a	a	PRON
cord-005350-19za0msu	134	20	)	)	PUNCT
cord-005350-19za0msu	134	21	can	can	AUX
cord-005350-19za0msu	134	22	not	not	PART
cord-005350-19za0msu	134	23	describe	describe	VERB
cord-005350-19za0msu	134	24	chance	chance	NOUN
cord-005350-19za0msu	134	25	extinctions	extinction	NOUN
cord-005350-19za0msu	134	26	,	,	PUNCT
cord-005350-19za0msu	134	27	which	which	PRON
cord-005350-19za0msu	134	28	can	can	AUX
cord-005350-19za0msu	134	29	occur	occur	VERB
cord-005350-19za0msu	134	30	if	if	SCONJ
cord-005350-19za0msu	134	31	i	i	PRON
cord-005350-19za0msu	134	32	is	be	AUX
cord-005350-19za0msu	134	33	small	small	ADJ
cord-005350-19za0msu	134	34	.	.	PUNCT
cord-005350-19za0msu	135	1	if	if	SCONJ
cord-005350-19za0msu	135	2	η	η	X
cord-005350-19za0msu	135	3	=	=	X
cord-005350-19za0msu	135	4	0	0	NUM
cord-005350-19za0msu	135	5	and	and	CCONJ
cord-005350-19za0msu	135	6	p	p	X
cord-005350-19za0msu	135	7	>	>	SYM
cord-005350-19za0msu	135	8	1	1	NUM
cord-005350-19za0msu	135	9	−	−	SYM
cord-005350-19za0msu	135	10	1	1	NUM
cord-005350-19za0msu	135	11	/	/	SYM
cord-005350-19za0msu	135	12	r	r	NOUN
cord-005350-19za0msu	135	13	0	0	NUM
cord-005350-19za0msu	135	14	,	,	PUNCT
cord-005350-19za0msu	135	15	the	the	DET
cord-005350-19za0msu	135	16	disease	disease	NOUN
cord-005350-19za0msu	135	17	-	-	PUNCT
cord-005350-19za0msu	135	18	free	free	ADJ
cord-005350-19za0msu	135	19	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	135	20	is	be	AUX
cord-005350-19za0msu	135	21	stable	stable	ADJ
cord-005350-19za0msu	135	22	,	,	PUNCT
cord-005350-19za0msu	135	23	and	and	CCONJ
cord-005350-19za0msu	135	24	so	so	ADV
cord-005350-19za0msu	135	25	the	the	DET
cord-005350-19za0msu	135	26	approximation	approximation	NOUN
cord-005350-19za0msu	135	27	given	give	VERB
cord-005350-19za0msu	135	28	by	by	ADP
cord-005350-19za0msu	135	29	eq	eq	PROPN
cord-005350-19za0msu	135	30	.	.	PUNCT
cord-005350-19za0msu	135	31	(	(	PUNCT
cord-005350-19za0msu	135	32	10	10	NUM
cord-005350-19za0msu	135	33	)	)	PUNCT
cord-005350-19za0msu	135	34	is	be	AUX
cord-005350-19za0msu	135	35	not	not	PART
cord-005350-19za0msu	135	36	valid	valid	ADJ
cord-005350-19za0msu	135	37	.	.	PUNCT
cord-005350-19za0msu	136	1	due	due	ADP
cord-005350-19za0msu	136	2	to	to	ADP
cord-005350-19za0msu	136	3	the	the	DET
cord-005350-19za0msu	136	4	absorbing	absorbing	ADJ
cord-005350-19za0msu	136	5	boundary	boundary	NOUN
cord-005350-19za0msu	136	6	,	,	PUNCT
cord-005350-19za0msu	136	7	the	the	DET
cord-005350-19za0msu	136	8	probability	probability	NOUN
cord-005350-19za0msu	136	9	distribution	distribution	NOUN
cord-005350-19za0msu	136	10	about	about	ADP
cord-005350-19za0msu	136	11	the	the	DET
cord-005350-19za0msu	136	12	disease	disease	NOUN
cord-005350-19za0msu	136	13	-	-	PUNCT
cord-005350-19za0msu	136	14	free	free	ADJ
cord-005350-19za0msu	136	15	state	state	NOUN
cord-005350-19za0msu	136	16	for	for	ADP
cord-005350-19za0msu	136	17	a	a	DET
cord-005350-19za0msu	136	18	given	give	VERB
cord-005350-19za0msu	136	19	time	time	NOUN
cord-005350-19za0msu	136	20	t	t	PRON
cord-005350-19za0msu	136	21	will	will	AUX
cord-005350-19za0msu	136	22	be	be	AUX
cord-005350-19za0msu	136	23	one	one	NUM
cord-005350-19za0msu	136	24	-	-	PUNCT
cord-005350-19za0msu	136	25	sided	sided	ADJ
cord-005350-19za0msu	136	26	.	.	PUNCT
cord-005350-19za0msu	137	1	on	on	ADP
cord-005350-19za0msu	137	2	the	the	DET
cord-005350-19za0msu	137	3	the	the	DET
cord-005350-19za0msu	137	4	other	other	ADJ
cord-005350-19za0msu	137	5	hand	hand	NOUN
cord-005350-19za0msu	137	6	,	,	PUNCT
cord-005350-19za0msu	137	7	if	if	SCONJ
cord-005350-19za0msu	137	8	η	η	X
cord-005350-19za0msu	137	9	>	>	PUNCT
cord-005350-19za0msu	137	10	0	0	NUM
cord-005350-19za0msu	137	11	,	,	PUNCT
cord-005350-19za0msu	137	12	then	then	ADV
cord-005350-19za0msu	137	13	,	,	PUNCT
cord-005350-19za0msu	137	14	close	close	ADV
cord-005350-19za0msu	137	15	to	to	ADP
cord-005350-19za0msu	137	16	the	the	DET
cord-005350-19za0msu	137	17	system	system	NOUN
cord-005350-19za0msu	137	18	boundary	boundary	NOUN
cord-005350-19za0msu	137	19	,	,	PUNCT
cord-005350-19za0msu	137	20	the	the	DET
cord-005350-19za0msu	137	21	normal	normal	ADJ
cord-005350-19za0msu	137	22	distribution	distribution	NOUN
cord-005350-19za0msu	137	23	approximation	approximation	NOUN
cord-005350-19za0msu	137	24	about	about	ADP
cord-005350-19za0msu	137	25	the	the	DET
cord-005350-19za0msu	137	26	deterministic	deterministic	ADJ
cord-005350-19za0msu	137	27	mean	mean	NOUN
cord-005350-19za0msu	137	28	may	may	AUX
cord-005350-19za0msu	137	29	be	be	AUX
cord-005350-19za0msu	137	30	poor	poor	ADJ
cord-005350-19za0msu	137	31	because	because	SCONJ
cord-005350-19za0msu	137	32	the	the	DET
cord-005350-19za0msu	137	33	distribution	distribution	NOUN
cord-005350-19za0msu	137	34	is	be	AUX
cord-005350-19za0msu	137	35	bimodal	bimodal	VERB
cord-005350-19za0msu	137	36	due	due	ADP
cord-005350-19za0msu	137	37	to	to	ADP
cord-005350-19za0msu	137	38	extinction	extinction	NOUN
cord-005350-19za0msu	137	39	events	event	NOUN
cord-005350-19za0msu	137	40	.	.	PUNCT
cord-005350-19za0msu	138	1	however	however	ADV
cord-005350-19za0msu	138	2	,	,	PUNCT
cord-005350-19za0msu	138	3	the	the	DET
cord-005350-19za0msu	138	4	models	model	NOUN
cord-005350-19za0msu	138	5	with	with	ADP
cord-005350-19za0msu	138	6	immigration	immigration	NOUN
cord-005350-19za0msu	138	7	do	do	AUX
cord-005350-19za0msu	138	8	not	not	PART
cord-005350-19za0msu	138	9	have	have	VERB
cord-005350-19za0msu	138	10	a	a	DET
cord-005350-19za0msu	138	11	disease	disease	NOUN
cord-005350-19za0msu	138	12	-	-	PUNCT
cord-005350-19za0msu	138	13	free	free	ADJ
cord-005350-19za0msu	138	14	state	state	NOUN
cord-005350-19za0msu	138	15	;	;	PUNCT
cord-005350-19za0msu	138	16	just	just	ADV
cord-005350-19za0msu	138	17	a	a	DET
cord-005350-19za0msu	138	18	small	small	ADJ
cord-005350-19za0msu	138	19	infectious	infectious	ADJ
cord-005350-19za0msu	138	20	population	population	NOUN
cord-005350-19za0msu	138	21	when	when	SCONJ
cord-005350-19za0msu	138	22	p	p	NOUN
cord-005350-19za0msu	138	23	is	be	AUX
cord-005350-19za0msu	138	24	approximately	approximately	ADV
cord-005350-19za0msu	138	25	greater	great	ADJ
cord-005350-19za0msu	138	26	than	than	ADP
cord-005350-19za0msu	138	27	1	1	NUM
cord-005350-19za0msu	138	28	/	/	SYM
cord-005350-19za0msu	138	29	r	r	NOUN
cord-005350-19za0msu	138	30	0	0	NUM
cord-005350-19za0msu	138	31	.	.	PUNCT
cord-005350-19za0msu	139	1	therefore	therefore	ADV
cord-005350-19za0msu	139	2	,	,	PUNCT
cord-005350-19za0msu	139	3	predictions	prediction	NOUN
cord-005350-19za0msu	139	4	for	for	ADP
cord-005350-19za0msu	139	5	the	the	DET
cord-005350-19za0msu	139	6	quasi	quasi	ADJ
cord-005350-19za0msu	139	7	-	-	ADJ
cord-005350-19za0msu	139	8	stationary	stationary	ADJ
cord-005350-19za0msu	139	9	statistics	statistic	NOUN
cord-005350-19za0msu	139	10	about	about	ADP
cord-005350-19za0msu	139	11	this	this	DET
cord-005350-19za0msu	139	12	state	state	NOUN
cord-005350-19za0msu	139	13	can	can	AUX
cord-005350-19za0msu	139	14	be	be	AUX
cord-005350-19za0msu	139	15	obtained	obtain	VERB
cord-005350-19za0msu	139	16	.	.	PUNCT
cord-005350-19za0msu	140	1	denoting	denote	VERB
cord-005350-19za0msu	140	2	the	the	DET
cord-005350-19za0msu	140	3	proportions	proportion	NOUN
cord-005350-19za0msu	140	4	of	of	ADP
cord-005350-19za0msu	140	5	susceptible	susceptible	ADJ
cord-005350-19za0msu	140	6	,	,	PUNCT
cord-005350-19za0msu	140	7	infectious	infectious	ADJ
cord-005350-19za0msu	140	8	,	,	PUNCT
cord-005350-19za0msu	140	9	and	and	CCONJ
cord-005350-19za0msu	140	10	recovered	recovered	ADJ
cord-005350-19za0msu	140	11	populations	population	NOUN
cord-005350-19za0msu	140	12	by	by	ADP
cord-005350-19za0msu	140	13	x(t	x(t	PROPN
cord-005350-19za0msu	140	14	)	)	PUNCT
cord-005350-19za0msu	140	15	,	,	PUNCT
cord-005350-19za0msu	140	16	y(t	y(t	PROPN
cord-005350-19za0msu	140	17	)	)	PUNCT
cord-005350-19za0msu	140	18	,	,	PUNCT
cord-005350-19za0msu	140	19	and	and	CCONJ
cord-005350-19za0msu	140	20	z(t	z(t	PROPN
cord-005350-19za0msu	140	21	)	)	PUNCT
cord-005350-19za0msu	140	22	respectively	respectively	ADV
cord-005350-19za0msu	140	23	,	,	PUNCT
cord-005350-19za0msu	140	24	the	the	DET
cord-005350-19za0msu	140	25	sir	sir	PROPN
cord-005350-19za0msu	140	26	model	model	NOUN
cord-005350-19za0msu	140	27	with	with	ADP
cord-005350-19za0msu	140	28	immigration	immigration	NOUN
cord-005350-19za0msu	140	29	in	in	ADP
cord-005350-19za0msu	140	30	a	a	DET
cord-005350-19za0msu	140	31	closed	closed	ADJ
cord-005350-19za0msu	140	32	population	population	NOUN
cord-005350-19za0msu	140	33	of	of	ADP
cord-005350-19za0msu	140	34	size	size	NOUN
cord-005350-19za0msu	140	35	n	n	NOUN
cord-005350-19za0msu	140	36	iṡ	iṡ	NOUN
cord-005350-19za0msu	140	37	where	where	SCONJ
cord-005350-19za0msu	140	38	β	β	PROPN
cord-005350-19za0msu	140	39	is	be	AUX
cord-005350-19za0msu	140	40	the	the	DET
cord-005350-19za0msu	140	41	transmission	transmission	NOUN
cord-005350-19za0msu	140	42	rate	rate	NOUN
cord-005350-19za0msu	140	43	,	,	PUNCT
cord-005350-19za0msu	140	44	γ	γ	PRON
cord-005350-19za0msu	140	45	is	be	AUX
cord-005350-19za0msu	140	46	the	the	DET
cord-005350-19za0msu	140	47	recovery	recovery	NOUN
cord-005350-19za0msu	140	48	rate	rate	NOUN
cord-005350-19za0msu	140	49	,	,	PUNCT
cord-005350-19za0msu	140	50	η	η	NOUN
cord-005350-19za0msu	140	51	is	be	AUX
cord-005350-19za0msu	140	52	the	the	DET
cord-005350-19za0msu	140	53	immigration	immigration	NOUN
cord-005350-19za0msu	140	54	rate	rate	NOUN
cord-005350-19za0msu	140	55	,	,	PUNCT
cord-005350-19za0msu	140	56	and	and	CCONJ
cord-005350-19za0msu	140	57	μ	μ	NOUN
cord-005350-19za0msu	140	58	is	be	AUX
cord-005350-19za0msu	140	59	the	the	DET
cord-005350-19za0msu	140	60	per	per	ADP
cord-005350-19za0msu	140	61	capita	capita	X
cord-005350-19za0msu	140	62	birth	birth	NOUN
cord-005350-19za0msu	140	63	rate	rate	NOUN
cord-005350-19za0msu	140	64	.	.	PUNCT
cord-005350-19za0msu	141	1	to	to	PART
cord-005350-19za0msu	141	2	maintain	maintain	VERB
cord-005350-19za0msu	141	3	a	a	DET
cord-005350-19za0msu	141	4	constant	constant	ADJ
cord-005350-19za0msu	141	5	population	population	NOUN
cord-005350-19za0msu	141	6	size	size	NOUN
cord-005350-19za0msu	141	7	,	,	PUNCT
cord-005350-19za0msu	141	8	the	the	DET
cord-005350-19za0msu	141	9	per	per	X
cord-005350-19za0msu	141	10	capita	capita	X
cord-005350-19za0msu	141	11	death	death	NOUN
cord-005350-19za0msu	141	12	rate	rate	NOUN
cord-005350-19za0msu	141	13	is	be	AUX
cord-005350-19za0msu	141	14	set	set	VERB
cord-005350-19za0msu	141	15	equal	equal	ADJ
cord-005350-19za0msu	141	16	to	to	ADP
cord-005350-19za0msu	141	17	the	the	DET
cord-005350-19za0msu	141	18	birth	birth	NOUN
cord-005350-19za0msu	141	19	rate	rate	NOUN
cord-005350-19za0msu	141	20	.	.	PUNCT
cord-005350-19za0msu	142	1	a	a	DET
cord-005350-19za0msu	142	2	proportion	proportion	NOUN
cord-005350-19za0msu	142	3	p	p	NOUN
cord-005350-19za0msu	142	4	of	of	ADP
cord-005350-19za0msu	142	5	the	the	DET
cord-005350-19za0msu	142	6	population	population	NOUN
cord-005350-19za0msu	142	7	are	be	AUX
cord-005350-19za0msu	142	8	chosen	choose	VERB
cord-005350-19za0msu	142	9	at	at	ADP
cord-005350-19za0msu	142	10	random	random	ADJ
cord-005350-19za0msu	142	11	for	for	ADP
cord-005350-19za0msu	142	12	vaccination	vaccination	NOUN
cord-005350-19za0msu	142	13	at	at	ADP
cord-005350-19za0msu	142	14	birth	birth	NOUN
cord-005350-19za0msu	142	15	and	and	CCONJ
cord-005350-19za0msu	142	16	are	be	AUX
cord-005350-19za0msu	142	17	recruited	recruit	VERB
cord-005350-19za0msu	142	18	into	into	ADP
cord-005350-19za0msu	142	19	the	the	DET
cord-005350-19za0msu	142	20	recovered	recovered	ADJ
cord-005350-19za0msu	142	21	class	class	NOUN
cord-005350-19za0msu	142	22	.	.	PUNCT
cord-005350-19za0msu	143	1	the	the	DET
cord-005350-19za0msu	143	2	remaining	remain	VERB
cord-005350-19za0msu	143	3	unvaccinated	unvaccinated	ADJ
cord-005350-19za0msu	143	4	proportion	proportion	NOUN
cord-005350-19za0msu	143	5	of	of	ADP
cord-005350-19za0msu	143	6	the	the	DET
cord-005350-19za0msu	143	7	population	population	NOUN
cord-005350-19za0msu	143	8	enter	enter	VERB
cord-005350-19za0msu	143	9	the	the	DET
cord-005350-19za0msu	143	10	susceptible	susceptible	ADJ
cord-005350-19za0msu	143	11	class	class	NOUN
cord-005350-19za0msu	143	12	at	at	ADP
cord-005350-19za0msu	143	13	birth	birth	NOUN
cord-005350-19za0msu	143	14	.	.	PUNCT
cord-005350-19za0msu	144	1	since	since	SCONJ
cord-005350-19za0msu	144	2	the	the	DET
cord-005350-19za0msu	144	3	population	population	NOUN
cord-005350-19za0msu	144	4	size	size	NOUN
cord-005350-19za0msu	144	5	n	n	ADV
cord-005350-19za0msu	144	6	is	be	AUX
cord-005350-19za0msu	144	7	constant	constant	ADJ
cord-005350-19za0msu	144	8	,	,	PUNCT
cord-005350-19za0msu	144	9	x	x	NOUN
cord-005350-19za0msu	144	10	+	+	PUNCT
cord-005350-19za0msu	144	11	y	y	NOUN
cord-005350-19za0msu	144	12	+	+	CCONJ
cord-005350-19za0msu	144	13	z	z	NOUN
cord-005350-19za0msu	144	14	=	=	SYM
cord-005350-19za0msu	144	15	1	1	NUM
cord-005350-19za0msu	144	16	,	,	PUNCT
cord-005350-19za0msu	144	17	system	system	NOUN
cord-005350-19za0msu	144	18	(	(	PUNCT
cord-005350-19za0msu	144	19	5	5	NUM
cord-005350-19za0msu	144	20	)	)	PUNCT
cord-005350-19za0msu	144	21	is	be	AUX
cord-005350-19za0msu	144	22	equivalent	equivalent	ADJ
cord-005350-19za0msu	144	23	to	to	ADP
cord-005350-19za0msu	144	24	the	the	DET
cord-005350-19za0msu	144	25	following	follow	VERB
cord-005350-19za0msu	144	26	system	system	NOUN
cord-005350-19za0msu	144	27	of	of	ADP
cord-005350-19za0msu	144	28	ordinary	ordinary	ADJ
cord-005350-19za0msu	144	29	differential	differential	NOUN
cord-005350-19za0msu	144	30	equationṡ	equationṡ	NOUN
cord-005350-19za0msu	144	31	the	the	DET
cord-005350-19za0msu	144	32	sir	sir	PROPN
cord-005350-19za0msu	144	33	model	model	NOUN
cord-005350-19za0msu	144	34	is	be	AUX
cord-005350-19za0msu	144	35	particularly	particularly	ADV
cord-005350-19za0msu	144	36	appropriate	appropriate	ADJ
cord-005350-19za0msu	144	37	for	for	ADP
cord-005350-19za0msu	144	38	acute	acute	ADJ
cord-005350-19za0msu	144	39	immunizing	immunizing	NOUN
cord-005350-19za0msu	144	40	infections	infection	NOUN
cord-005350-19za0msu	144	41	such	such	ADJ
cord-005350-19za0msu	144	42	as	as	ADP
cord-005350-19za0msu	144	43	measles	measle	NOUN
cord-005350-19za0msu	144	44	and	and	CCONJ
cord-005350-19za0msu	144	45	pertussis	pertussis	NOUN
cord-005350-19za0msu	144	46	.	.	PUNCT
cord-005350-19za0msu	145	1	in	in	ADP
cord-005350-19za0msu	145	2	the	the	DET
cord-005350-19za0msu	145	3	absence	absence	NOUN
cord-005350-19za0msu	145	4	of	of	ADP
cord-005350-19za0msu	145	5	vaccination	vaccination	NOUN
cord-005350-19za0msu	145	6	and	and	CCONJ
cord-005350-19za0msu	145	7	immigration	immigration	NOUN
cord-005350-19za0msu	145	8	,	,	PUNCT
cord-005350-19za0msu	145	9	the	the	DET
cord-005350-19za0msu	145	10	basic	basic	ADJ
cord-005350-19za0msu	145	11	reproduction	reproduction	NOUN
cord-005350-19za0msu	145	12	number	number	NOUN
cord-005350-19za0msu	145	13	is	be	AUX
cord-005350-19za0msu	145	14	given	give	VERB
cord-005350-19za0msu	145	15	by	by	ADP
cord-005350-19za0msu	145	16	r	r	NOUN
cord-005350-19za0msu	145	17	0	0	PUNCT
cord-005350-19za0msu	145	18	=	=	NOUN
cord-005350-19za0msu	145	19	β/(γ	β/(γ	PUNCT
cord-005350-19za0msu	145	20	+	+	CCONJ
cord-005350-19za0msu	145	21	μ	μ	NUM
cord-005350-19za0msu	145	22	)	)	PUNCT
cord-005350-19za0msu	145	23	.	.	PUNCT
cord-005350-19za0msu	146	1	if	if	SCONJ
cord-005350-19za0msu	146	2	table	table	NOUN
cord-005350-19za0msu	146	3	4	4	NUM
cord-005350-19za0msu	146	4	analytical	analytical	ADJ
cord-005350-19za0msu	146	5	expressions	expression	NOUN
cord-005350-19za0msu	146	6	for	for	ADP
cord-005350-19za0msu	146	7	quasi	quasi	ADJ
cord-005350-19za0msu	146	8	-	-	ADJ
cord-005350-19za0msu	146	9	stationary	stationary	ADJ
cord-005350-19za0msu	146	10	statistics	statistic	NOUN
cord-005350-19za0msu	146	11	about	about	ADP
cord-005350-19za0msu	146	12	the	the	DET
cord-005350-19za0msu	146	13	endemic	endemic	ADJ
cord-005350-19za0msu	146	14	infectious	infectious	ADJ
cord-005350-19za0msu	146	15	quasi	quasi	ADJ
cord-005350-19za0msu	146	16	-	-	ADJ
cord-005350-19za0msu	146	17	steady	steady	ADJ
cord-005350-19za0msu	146	18	state	state	NOUN
cord-005350-19za0msu	146	19	expressed	express	VERB
cord-005350-19za0msu	146	20	in	in	ADP
cord-005350-19za0msu	146	21	terms	term	NOUN
cord-005350-19za0msu	146	22	of	of	ADP
cord-005350-19za0msu	146	23	the	the	DET
cord-005350-19za0msu	146	24	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	146	25	.	.	PUNCT
cord-005350-19za0msu	147	1	expressions	expression	NOUN
cord-005350-19za0msu	147	2	for	for	ADP
cord-005350-19za0msu	147	3	the	the	DET
cord-005350-19za0msu	147	4	endemic	endemic	ADJ
cord-005350-19za0msu	147	5	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	147	6	ϕ	ϕ	PROPN
cord-005350-19za0msu	148	1	*	*	PUNCT
cord-005350-19za0msu	148	2	of	of	ADP
cord-005350-19za0msu	148	3	the	the	DET
cord-005350-19za0msu	148	4	sis	sis	NOUN
cord-005350-19za0msu	148	5	and	and	CCONJ
cord-005350-19za0msu	148	6	sir	sir	PROPN
cord-005350-19za0msu	148	7	models	model	NOUN
cord-005350-19za0msu	148	8	are	be	AUX
cord-005350-19za0msu	148	9	found	find	VERB
cord-005350-19za0msu	148	10	by	by	ADP
cord-005350-19za0msu	148	11	solving	solve	VERB
cord-005350-19za0msu	148	12	equations	equation	NOUN
cord-005350-19za0msu	148	13	(	(	PUNCT
cord-005350-19za0msu	148	14	11	11	NUM
cord-005350-19za0msu	148	15	)	)	PUNCT
cord-005350-19za0msu	148	16	and	and	CCONJ
cord-005350-19za0msu	148	17	(	(	PUNCT
cord-005350-19za0msu	148	18	22	22	NUM
cord-005350-19za0msu	148	19	)	)	PUNCT
cord-005350-19za0msu	148	20	in	in	ADP
cord-005350-19za0msu	148	21	appendices	appendix	NOUN
cord-005350-19za0msu	148	22	a	a	DET
cord-005350-19za0msu	148	23	and	and	CCONJ
cord-005350-19za0msu	148	24	b	b	PROPN
cord-005350-19za0msu	148	25	power	power	NOUN
cord-005350-19za0msu	148	26	spectrum	spectrum	NOUN
cord-005350-19za0msu	148	27	s	s	VERB
cord-005350-19za0msu	148	28	i	i	PRON
cord-005350-19za0msu	148	29	(	(	PUNCT
cord-005350-19za0msu	148	30	ω	ω	PROPN
cord-005350-19za0msu	148	31	)	)	PUNCT
cord-005350-19za0msu	148	32	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	148	33	the	the	DET
cord-005350-19za0msu	148	34	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	148	35	of	of	ADP
cord-005350-19za0msu	148	36	the	the	DET
cord-005350-19za0msu	148	37	jacobian	jacobian	NOUN
cord-005350-19za0msu	148	38	of	of	ADP
cord-005350-19za0msu	148	39	the	the	DET
cord-005350-19za0msu	148	40	sir	sir	PROPN
cord-005350-19za0msu	148	41	model	model	NOUN
cord-005350-19za0msu	148	42	evaluated	evaluate	VERB
cord-005350-19za0msu	148	43	about	about	ADP
cord-005350-19za0msu	148	44	ϕ	ϕ	NOUN
cord-005350-19za0msu	148	45	*	*	PUNCT
cord-005350-19za0msu	148	46	are	be	AUX
cord-005350-19za0msu	148	47	complex	complex	ADJ
cord-005350-19za0msu	148	48	conjugates	conjugate	NOUN
cord-005350-19za0msu	148	49	when	when	SCONJ
cord-005350-19za0msu	148	50	the	the	DET
cord-005350-19za0msu	148	51	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	148	52	is	be	AUX
cord-005350-19za0msu	148	53	a	a	DET
cord-005350-19za0msu	148	54	stable	stable	ADJ
cord-005350-19za0msu	148	55	spiral	spiral	NOUN
cord-005350-19za0msu	148	56	,	,	PUNCT
cord-005350-19za0msu	148	57	i.e.	i.e.	X
cord-005350-19za0msu	148	58	,	,	PUNCT
cord-005350-19za0msu	148	59	reλ	reλ	PROPN
cord-005350-19za0msu	148	60	1	1	NUM
cord-005350-19za0msu	148	61	=	=	NOUN
cord-005350-19za0msu	148	62	reλ	reλ	NOUN
cord-005350-19za0msu	148	63	2	2	NUM
cord-005350-19za0msu	148	64	=	=	NOUN
cord-005350-19za0msu	148	65	reλ	reλ	NOUN
cord-005350-19za0msu	148	66	and	and	CCONJ
cord-005350-19za0msu	148	67	|imλ	|imλ	PROPN
cord-005350-19za0msu	148	68	1	1	NUM
cord-005350-19za0msu	148	69	|	|	NOUN
cord-005350-19za0msu	148	70	=	=	SYM
cord-005350-19za0msu	148	71	|imλ	|imλ	PROPN
cord-005350-19za0msu	148	72	2	2	NUM
cord-005350-19za0msu	148	73	|	|	NOUN
cord-005350-19za0msu	148	74	=	=	SYM
cord-005350-19za0msu	148	75	|imλ|	|imλ|	PROPN
cord-005350-19za0msu	148	76	.	.	PUNCT
cord-005350-19za0msu	149	1	when	when	SCONJ
cord-005350-19za0msu	149	2	ϕ	ϕ	PROPN
cord-005350-19za0msu	149	3	*	*	PUNCT
cord-005350-19za0msu	149	4	is	be	AUX
cord-005350-19za0msu	149	5	a	a	DET
cord-005350-19za0msu	149	6	stable	stable	ADJ
cord-005350-19za0msu	149	7	node	node	NOUN
cord-005350-19za0msu	149	8	,	,	PUNCT
cord-005350-19za0msu	149	9	the	the	DET
cord-005350-19za0msu	149	10	jacobian	jacobian	ADJ
cord-005350-19za0msu	149	11	matrix	matrix	NOUN
cord-005350-19za0msu	149	12	has	have	VERB
cord-005350-19za0msu	149	13	two	two	NUM
cord-005350-19za0msu	149	14	real	real	ADJ
cord-005350-19za0msu	149	15	negative	negative	ADJ
cord-005350-19za0msu	149	16	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	149	17	,	,	PUNCT
cord-005350-19za0msu	149	18	λ	λ	PROPN
cord-005350-19za0msu	149	19	1	1	NUM
cord-005350-19za0msu	149	20	and	and	CCONJ
cord-005350-19za0msu	149	21	λ	λ	PROPN
cord-005350-19za0msu	149	22	2	2	NUM
cord-005350-19za0msu	149	23	.	.	PUNCT
cord-005350-19za0msu	150	1	when	when	SCONJ
cord-005350-19za0msu	150	2	there	there	PRON
cord-005350-19za0msu	150	3	is	be	VERB
cord-005350-19za0msu	150	4	no	no	DET
cord-005350-19za0msu	150	5	immigration	immigration	NOUN
cord-005350-19za0msu	150	6	,	,	PUNCT
cord-005350-19za0msu	150	7	η	η	NOUN
cord-005350-19za0msu	150	8	=	=	X
cord-005350-19za0msu	150	9	0	0	NUM
cord-005350-19za0msu	150	10	and	and	CCONJ
cord-005350-19za0msu	150	11	the	the	DET
cord-005350-19za0msu	150	12	power	power	NOUN
cord-005350-19za0msu	150	13	spectrum	spectrum	NOUN
cord-005350-19za0msu	150	14	collapses	collapse	VERB
cord-005350-19za0msu	150	15	to	to	ADP
cord-005350-19za0msu	150	16	zero	zero	NUM
cord-005350-19za0msu	150	17	.	.	PUNCT
cord-005350-19za0msu	151	1	variables	variable	NOUN
cord-005350-19za0msu	151	2	for	for	ADP
cord-005350-19za0msu	151	3	each	each	DET
cord-005350-19za0msu	151	4	model	model	NOUN
cord-005350-19za0msu	151	5	are	be	AUX
cord-005350-19za0msu	151	6	described	describe	VERB
cord-005350-19za0msu	151	7	in	in	ADP
cord-005350-19za0msu	151	8	tables	table	NOUN
cord-005350-19za0msu	151	9	8	8	NUM
cord-005350-19za0msu	151	10	and	and	CCONJ
cord-005350-19za0msu	151	11	9	9	NUM
cord-005350-19za0msu	151	12	.	.	PUNCT
cord-005350-19za0msu	152	1	the	the	DET
cord-005350-19za0msu	152	2	expressions	expression	NOUN
cord-005350-19za0msu	152	3	for	for	ADP
cord-005350-19za0msu	152	4	the	the	DET
cord-005350-19za0msu	152	5	power	power	NOUN
cord-005350-19za0msu	152	6	spectrum	spectrum	NOUN
cord-005350-19za0msu	152	7	are	be	AUX
cord-005350-19za0msu	152	8	multiplied	multiply	VERB
cord-005350-19za0msu	152	9	by	by	ADP
cord-005350-19za0msu	152	10	2	2	NUM
cord-005350-19za0msu	152	11	because	because	SCONJ
cord-005350-19za0msu	152	12	they	they	PRON
cord-005350-19za0msu	152	13	are	be	AUX
cord-005350-19za0msu	152	14	evaluated	evaluate	VERB
cord-005350-19za0msu	152	15	over	over	ADP
cord-005350-19za0msu	152	16	the	the	DET
cord-005350-19za0msu	152	17	frequency	frequency	NOUN
cord-005350-19za0msu	152	18	domain	domain	NOUN
cord-005350-19za0msu	152	19	[	[	X
cord-005350-19za0msu	152	20	0	0	NUM
cord-005350-19za0msu	152	21	,	,	PUNCT
cord-005350-19za0msu	152	22	∞	∞	NUM
cord-005350-19za0msu	152	23	)	)	PUNCT
cord-005350-19za0msu	152	24	.	.	PUNCT
cord-005350-19za0msu	153	1	no	no	DET
cord-005350-19za0msu	153	2	closed	closed	ADJ
cord-005350-19za0msu	153	3	-	-	PUNCT
cord-005350-19za0msu	153	4	form	form	NOUN
cord-005350-19za0msu	153	5	expression	expression	NOUN
cord-005350-19za0msu	153	6	for	for	ADP
cord-005350-19za0msu	153	7	the	the	DET
cord-005350-19za0msu	153	8	lag	lag	NOUN
cord-005350-19za0msu	153	9	-	-	NOUN
cord-005350-19za0msu	153	10	τ	τ	NOUN
cord-005350-19za0msu	153	11	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	153	12	is	be	AUX
cord-005350-19za0msu	153	13	known	know	VERB
cord-005350-19za0msu	153	14	,	,	PUNCT
cord-005350-19za0msu	153	15	and	and	CCONJ
cord-005350-19za0msu	153	16	so	so	ADV
cord-005350-19za0msu	153	17	it	it	PRON
cord-005350-19za0msu	153	18	must	must	AUX
cord-005350-19za0msu	153	19	be	be	AUX
cord-005350-19za0msu	153	20	evaluated	evaluate	VERB
cord-005350-19za0msu	153	21	numerically	numerically	ADV
cord-005350-19za0msu	153	22	η	η	NOUN
cord-005350-19za0msu	153	23	=	=	NOUN
cord-005350-19za0msu	153	24	0	0	NUM
cord-005350-19za0msu	153	25	,	,	PUNCT
cord-005350-19za0msu	153	26	the	the	DET
cord-005350-19za0msu	153	27	sir	sir	PROPN
cord-005350-19za0msu	153	28	model	model	NOUN
cord-005350-19za0msu	153	29	(	(	PUNCT
cord-005350-19za0msu	153	30	6	6	NUM
cord-005350-19za0msu	153	31	)	)	PUNCT
cord-005350-19za0msu	153	32	has	have	VERB
cord-005350-19za0msu	153	33	two	two	NUM
cord-005350-19za0msu	153	34	equilibria	equilibrium	NOUN
cord-005350-19za0msu	153	35	:	:	PUNCT
cord-005350-19za0msu	153	36	the	the	DET
cord-005350-19za0msu	153	37	disease	disease	NOUN
cord-005350-19za0msu	153	38	free	free	ADJ
cord-005350-19za0msu	153	39	state	state	NOUN
cord-005350-19za0msu	153	40	(	(	PUNCT
cord-005350-19za0msu	153	41	x	x	NOUN
cord-005350-19za0msu	153	42	0	0	NUM
cord-005350-19za0msu	153	43	,	,	PUNCT
cord-005350-19za0msu	153	44	y	y	PROPN
cord-005350-19za0msu	153	45	0	0	PUNCT
cord-005350-19za0msu	153	46	)	)	PUNCT
cord-005350-19za0msu	153	47	=	=	PROPN
cord-005350-19za0msu	153	48	(	(	PUNCT
cord-005350-19za0msu	153	49	1	1	NUM
cord-005350-19za0msu	153	50	−	−	PROPN
cord-005350-19za0msu	153	51	p	p	NOUN
cord-005350-19za0msu	153	52	,	,	PUNCT
cord-005350-19za0msu	153	53	0	0	NUM
cord-005350-19za0msu	153	54	)	)	PUNCT
cord-005350-19za0msu	153	55	and	and	CCONJ
cord-005350-19za0msu	153	56	the	the	DET
cord-005350-19za0msu	153	57	endemic	endemic	ADJ
cord-005350-19za0msu	153	58	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	153	59	the	the	DET
cord-005350-19za0msu	153	60	sir	sir	PROPN
cord-005350-19za0msu	153	61	model	model	NOUN
cord-005350-19za0msu	153	62	undergoes	undergo	VERB
cord-005350-19za0msu	153	63	a	a	DET
cord-005350-19za0msu	153	64	transcritical	transcritical	ADJ
cord-005350-19za0msu	153	65	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	153	66	at	at	ADP
cord-005350-19za0msu	153	67	r	r	PROPN
cord-005350-19za0msu	153	68	0	0	NUM
cord-005350-19za0msu	153	69	=	=	SYM
cord-005350-19za0msu	153	70	1	1	NUM
cord-005350-19za0msu	153	71	.	.	PUNCT
cord-005350-19za0msu	154	1	the	the	DET
cord-005350-19za0msu	154	2	endemic	endemic	ADJ
cord-005350-19za0msu	154	3	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	154	4	is	be	AUX
cord-005350-19za0msu	154	5	locally	locally	ADV
cord-005350-19za0msu	154	6	stable	stable	ADJ
cord-005350-19za0msu	154	7	if	if	SCONJ
cord-005350-19za0msu	154	8	r	r	NOUN
cord-005350-19za0msu	154	9	0	0	PUNCT
cord-005350-19za0msu	154	10	>	>	SYM
cord-005350-19za0msu	154	11	1	1	NUM
cord-005350-19za0msu	154	12	and	and	CCONJ
cord-005350-19za0msu	154	13	is	be	AUX
cord-005350-19za0msu	154	14	not	not	PART
cord-005350-19za0msu	154	15	biologically	biologically	ADV
cord-005350-19za0msu	154	16	feasible	feasible	ADJ
cord-005350-19za0msu	154	17	if	if	SCONJ
cord-005350-19za0msu	154	18	r	r	NOUN
cord-005350-19za0msu	154	19	0	0	NUM
cord-005350-19za0msu	154	20	<	<	X
cord-005350-19za0msu	154	21	1	1	NUM
cord-005350-19za0msu	154	22	,	,	PUNCT
cord-005350-19za0msu	154	23	when	when	SCONJ
cord-005350-19za0msu	154	24	the	the	DET
cord-005350-19za0msu	154	25	disease	disease	NOUN
cord-005350-19za0msu	154	26	-	-	PUNCT
cord-005350-19za0msu	154	27	free	free	ADJ
cord-005350-19za0msu	154	28	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	154	29	is	be	AUX
cord-005350-19za0msu	154	30	locally	locally	ADV
cord-005350-19za0msu	154	31	stable	stable	ADJ
cord-005350-19za0msu	154	32	.	.	PUNCT
cord-005350-19za0msu	155	1	as	as	SCONJ
cord-005350-19za0msu	155	2	the	the	DET
cord-005350-19za0msu	155	3	vaccination	vaccination	NOUN
cord-005350-19za0msu	155	4	uptake	uptake	NOUN
cord-005350-19za0msu	155	5	p	p	NOUN
cord-005350-19za0msu	155	6	increases	increase	NOUN
cord-005350-19za0msu	155	7	,	,	PUNCT
cord-005350-19za0msu	155	8	the	the	DET
cord-005350-19za0msu	155	9	basic	basic	ADJ
cord-005350-19za0msu	155	10	reproduction	reproduction	NOUN
cord-005350-19za0msu	155	11	number	number	NOUN
cord-005350-19za0msu	155	12	reduces	reduce	VERB
cord-005350-19za0msu	155	13	by	by	ADP
cord-005350-19za0msu	155	14	a	a	DET
cord-005350-19za0msu	155	15	factor	factor	NOUN
cord-005350-19za0msu	155	16	(	(	PUNCT
cord-005350-19za0msu	155	17	1	1	NUM
cord-005350-19za0msu	155	18	−	−	PROPN
cord-005350-19za0msu	155	19	p	p	NOUN
cord-005350-19za0msu	155	20	)	)	PUNCT
cord-005350-19za0msu	155	21	,	,	PUNCT
cord-005350-19za0msu	155	22	i.e.	i.e.	X
cord-005350-19za0msu	155	23	,	,	PUNCT
cord-005350-19za0msu	155	24	the	the	DET
cord-005350-19za0msu	155	25	effective	effective	ADJ
cord-005350-19za0msu	155	26	reproduction	reproduction	NOUN
cord-005350-19za0msu	155	27	number	number	NOUN
cord-005350-19za0msu	155	28	is	be	AUX
cord-005350-19za0msu	155	29	r	r	NOUN
cord-005350-19za0msu	155	30	0	0	NUM
cord-005350-19za0msu	155	31	(	(	PUNCT
cord-005350-19za0msu	155	32	1	1	NUM
cord-005350-19za0msu	155	33	−	−	PROPN
cord-005350-19za0msu	155	34	p	p	NOUN
cord-005350-19za0msu	155	35	)	)	PUNCT
cord-005350-19za0msu	155	36	.	.	PUNCT
cord-005350-19za0msu	156	1	the	the	DET
cord-005350-19za0msu	156	2	vaccination	vaccination	NOUN
cord-005350-19za0msu	156	3	uptake	uptake	NOUN
cord-005350-19za0msu	156	4	p	p	NOUN
cord-005350-19za0msu	156	5	for	for	ADP
cord-005350-19za0msu	156	6	the	the	DET
cord-005350-19za0msu	156	7	effective	effective	ADJ
cord-005350-19za0msu	156	8	reproduction	reproduction	NOUN
cord-005350-19za0msu	156	9	number	number	NOUN
cord-005350-19za0msu	156	10	is	be	AUX
cord-005350-19za0msu	156	11	1	1	NUM
cord-005350-19za0msu	156	12	at	at	ADP
cord-005350-19za0msu	156	13	the	the	DET
cord-005350-19za0msu	156	14	critical	critical	ADJ
cord-005350-19za0msu	156	15	vaccination	vaccination	NOUN
cord-005350-19za0msu	156	16	threshold	threshold	NOUN
cord-005350-19za0msu	156	17	,	,	PUNCT
cord-005350-19za0msu	156	18	p	p	PROPN
cord-005350-19za0msu	156	19	*	*	PUNCT
cord-005350-19za0msu	156	20	=	=	NOUN
cord-005350-19za0msu	156	21	1	1	NUM
cord-005350-19za0msu	156	22	−	−	SYM
cord-005350-19za0msu	156	23	1	1	NUM
cord-005350-19za0msu	156	24	/	/	SYM
cord-005350-19za0msu	156	25	r	r	NOUN
cord-005350-19za0msu	156	26	0	0	NUM
cord-005350-19za0msu	156	27	(	(	PUNCT
cord-005350-19za0msu	156	28	anderson	anderson	PROPN
cord-005350-19za0msu	156	29	and	and	CCONJ
cord-005350-19za0msu	156	30	may	may	AUX
cord-005350-19za0msu	156	31	1991	1991	NUM
cord-005350-19za0msu	156	32	)	)	PUNCT
cord-005350-19za0msu	156	33	,	,	PUNCT
cord-005350-19za0msu	156	34	and	and	CCONJ
cord-005350-19za0msu	156	35	it	it	PRON
cord-005350-19za0msu	156	36	is	be	AUX
cord-005350-19za0msu	156	37	at	at	ADP
cord-005350-19za0msu	156	38	this	this	DET
cord-005350-19za0msu	156	39	critical	critical	ADJ
cord-005350-19za0msu	156	40	threshold	threshold	NOUN
cord-005350-19za0msu	156	41	that	that	SCONJ
cord-005350-19za0msu	156	42	the	the	DET
cord-005350-19za0msu	156	43	transcritical	transcritical	ADJ
cord-005350-19za0msu	156	44	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	156	45	occurs	occur	VERB
cord-005350-19za0msu	156	46	.	.	PUNCT
cord-005350-19za0msu	157	1	again	again	ADV
cord-005350-19za0msu	157	2	,	,	PUNCT
cord-005350-19za0msu	157	3	the	the	DET
cord-005350-19za0msu	157	4	sir	sir	PROPN
cord-005350-19za0msu	157	5	model	model	NOUN
cord-005350-19za0msu	157	6	with	with	ADP
cord-005350-19za0msu	157	7	no	no	DET
cord-005350-19za0msu	157	8	immigration	immigration	NOUN
cord-005350-19za0msu	157	9	is	be	AUX
cord-005350-19za0msu	157	10	the	the	DET
cord-005350-19za0msu	157	11	relevant	relevant	ADJ
cord-005350-19za0msu	157	12	limiting	limiting	NOUN
cord-005350-19za0msu	157	13	case	case	NOUN
cord-005350-19za0msu	157	14	.	.	PUNCT
cord-005350-19za0msu	158	1	temporary	temporary	ADJ
cord-005350-19za0msu	158	2	importation	importation	NOUN
cord-005350-19za0msu	158	3	of	of	ADP
cord-005350-19za0msu	158	4	pathogen	pathogen	PROPN
cord-005350-19za0msu	158	5	often	often	ADV
cord-005350-19za0msu	158	6	occurs	occur	VERB
cord-005350-19za0msu	158	7	in	in	ADP
cord-005350-19za0msu	158	8	infectious	infectious	ADJ
cord-005350-19za0msu	158	9	disease	disease	NOUN
cord-005350-19za0msu	158	10	systems	system	NOUN
cord-005350-19za0msu	158	11	(	(	PUNCT
cord-005350-19za0msu	158	12	keeling	keeling	NOUN
cord-005350-19za0msu	158	13	and	and	CCONJ
cord-005350-19za0msu	158	14	rohani	rohani	PROPN
cord-005350-19za0msu	158	15	2008	2008	NUM
cord-005350-19za0msu	158	16	)	)	PUNCT
cord-005350-19za0msu	158	17	.	.	PUNCT
cord-005350-19za0msu	159	1	assuming	assume	VERB
cord-005350-19za0msu	159	2	that	that	SCONJ
cord-005350-19za0msu	159	3	a	a	DET
cord-005350-19za0msu	159	4	low	low	ADJ
cord-005350-19za0msu	159	5	level	level	NOUN
cord-005350-19za0msu	159	6	of	of	ADP
cord-005350-19za0msu	159	7	immigration	immigration	NOUN
cord-005350-19za0msu	159	8	occurs	occur	VERB
cord-005350-19za0msu	159	9	,	,	PUNCT
cord-005350-19za0msu	159	10	i.e.	i.e.	X
cord-005350-19za0msu	159	11	,	,	PUNCT
cord-005350-19za0msu	159	12	η	η	NOUN
cord-005350-19za0msu	159	13	>	>	PUNCT
cord-005350-19za0msu	159	14	0	0	NUM
cord-005350-19za0msu	159	15	,	,	PUNCT
cord-005350-19za0msu	159	16	only	only	ADV
cord-005350-19za0msu	159	17	a	a	DET
cord-005350-19za0msu	159	18	single	single	ADJ
cord-005350-19za0msu	159	19	positive	positive	ADJ
cord-005350-19za0msu	159	20	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	159	21	is	be	AUX
cord-005350-19za0msu	159	22	biologically	biologically	ADV
cord-005350-19za0msu	159	23	feasible	feasible	ADJ
cord-005350-19za0msu	159	24	.	.	PUNCT
cord-005350-19za0msu	160	1	this	this	DET
cord-005350-19za0msu	160	2	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	160	3	is	be	AUX
cord-005350-19za0msu	160	4	a	a	DET
cord-005350-19za0msu	160	5	stable	stable	ADJ
cord-005350-19za0msu	160	6	spiral	spiral	NOUN
cord-005350-19za0msu	160	7	when	when	SCONJ
cord-005350-19za0msu	160	8	the	the	DET
cord-005350-19za0msu	160	9	square	square	NOUN
cord-005350-19za0msu	160	10	of	of	ADP
cord-005350-19za0msu	160	11	the	the	DET
cord-005350-19za0msu	160	12	trace	trace	NOUN
cord-005350-19za0msu	160	13	of	of	ADP
cord-005350-19za0msu	160	14	the	the	DET
cord-005350-19za0msu	160	15	jacobian	jacobian	ADJ
cord-005350-19za0msu	160	16	matrix	matrix	NOUN
cord-005350-19za0msu	160	17	evaluated	evaluate	VERB
cord-005350-19za0msu	160	18	about	about	ADP
cord-005350-19za0msu	160	19	the	the	DET
cord-005350-19za0msu	160	20	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	160	21	is	be	AUX
cord-005350-19za0msu	160	22	less	less	ADJ
cord-005350-19za0msu	160	23	than	than	ADP
cord-005350-19za0msu	160	24	four	four	NUM
cord-005350-19za0msu	160	25	times	time	NOUN
cord-005350-19za0msu	160	26	its	its	PRON
cord-005350-19za0msu	160	27	determinant	determinant	NOUN
cord-005350-19za0msu	160	28	and	and	CCONJ
cord-005350-19za0msu	160	29	is	be	AUX
cord-005350-19za0msu	160	30	a	a	DET
cord-005350-19za0msu	160	31	stable	stable	ADJ
cord-005350-19za0msu	160	32	node	node	NOUN
cord-005350-19za0msu	160	33	if	if	SCONJ
cord-005350-19za0msu	160	34	it	it	PRON
cord-005350-19za0msu	160	35	is	be	AUX
cord-005350-19za0msu	160	36	greater	great	ADJ
cord-005350-19za0msu	160	37	than	than	ADP
cord-005350-19za0msu	160	38	or	or	CCONJ
cord-005350-19za0msu	160	39	equal	equal	ADJ
cord-005350-19za0msu	160	40	to	to	ADP
cord-005350-19za0msu	160	41	this	this	DET
cord-005350-19za0msu	160	42	quantity	quantity	NOUN
cord-005350-19za0msu	160	43	.	.	PUNCT
cord-005350-19za0msu	161	1	complex	complex	ADJ
cord-005350-19za0msu	161	2	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	161	3	of	of	ADP
cord-005350-19za0msu	161	4	the	the	DET
cord-005350-19za0msu	161	5	jacobian	jacobian	ADJ
cord-005350-19za0msu	161	6	matrix	matrix	NOUN
cord-005350-19za0msu	161	7	of	of	ADP
cord-005350-19za0msu	161	8	eq	eq	PROPN
cord-005350-19za0msu	161	9	.	.	PUNCT
cord-005350-19za0msu	161	10	(	(	PUNCT
cord-005350-19za0msu	161	11	6	6	NUM
cord-005350-19za0msu	161	12	)	)	PUNCT
cord-005350-19za0msu	161	13	characterize	characterize	VERB
cord-005350-19za0msu	161	14	a	a	DET
cord-005350-19za0msu	161	15	stable	stable	ADJ
cord-005350-19za0msu	161	16	spiral	spiral	NOUN
cord-005350-19za0msu	161	17	,	,	PUNCT
cord-005350-19za0msu	161	18	and	and	CCONJ
cord-005350-19za0msu	161	19	the	the	DET
cord-005350-19za0msu	161	20	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	161	21	are	be	AUX
cord-005350-19za0msu	161	22	real	real	ADJ
cord-005350-19za0msu	161	23	and	and	CCONJ
cord-005350-19za0msu	161	24	negative	negative	ADJ
cord-005350-19za0msu	161	25	if	if	SCONJ
cord-005350-19za0msu	161	26	the	the	DET
cord-005350-19za0msu	161	27	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	161	28	is	be	AUX
cord-005350-19za0msu	161	29	a	a	DET
cord-005350-19za0msu	161	30	stable	stable	ADJ
cord-005350-19za0msu	161	31	node	node	NOUN
cord-005350-19za0msu	161	32	.	.	PUNCT
cord-005350-19za0msu	162	1	the	the	DET
cord-005350-19za0msu	162	2	stable	stable	ADJ
cord-005350-19za0msu	162	3	node	node	PROPN
cord-005350-19za0msu	162	4	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	162	5	can	can	AUX
cord-005350-19za0msu	162	6	be	be	AUX
cord-005350-19za0msu	162	7	thought	think	VERB
cord-005350-19za0msu	162	8	of	of	ADP
cord-005350-19za0msu	162	9	as	as	ADP
cord-005350-19za0msu	162	10	a	a	DET
cord-005350-19za0msu	162	11	"	"	PUNCT
cord-005350-19za0msu	162	12	disease	disease	NOUN
cord-005350-19za0msu	162	13	-	-	PUNCT
cord-005350-19za0msu	162	14	free	free	ADJ
cord-005350-19za0msu	162	15	"	"	PUNCT
cord-005350-19za0msu	162	16	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	162	17	if	if	SCONJ
cord-005350-19za0msu	162	18	η	η	NOUN
cord-005350-19za0msu	162	19	is	be	AUX
cord-005350-19za0msu	162	20	small	small	ADJ
cord-005350-19za0msu	162	21	,	,	PUNCT
cord-005350-19za0msu	162	22	in	in	ADP
cord-005350-19za0msu	162	23	the	the	DET
cord-005350-19za0msu	162	24	sense	sense	NOUN
cord-005350-19za0msu	162	25	that	that	SCONJ
cord-005350-19za0msu	162	26	the	the	DET
cord-005350-19za0msu	162	27	infectious	infectious	ADJ
cord-005350-19za0msu	162	28	population	population	NOUN
cord-005350-19za0msu	162	29	is	be	AUX
cord-005350-19za0msu	162	30	sustained	sustain	VERB
cord-005350-19za0msu	162	31	at	at	ADP
cord-005350-19za0msu	162	32	a	a	DET
cord-005350-19za0msu	162	33	low	low	ADJ
cord-005350-19za0msu	162	34	level	level	NOUN
cord-005350-19za0msu	162	35	due	due	ADP
cord-005350-19za0msu	162	36	to	to	ADP
cord-005350-19za0msu	162	37	importation	importation	NOUN
cord-005350-19za0msu	162	38	of	of	ADP
cord-005350-19za0msu	162	39	the	the	DET
cord-005350-19za0msu	162	40	disease	disease	NOUN
cord-005350-19za0msu	162	41	from	from	ADP
cord-005350-19za0msu	162	42	external	external	ADJ
cord-005350-19za0msu	162	43	sources	source	NOUN
cord-005350-19za0msu	162	44	.	.	PUNCT
cord-005350-19za0msu	163	1	therefore	therefore	ADV
cord-005350-19za0msu	163	2	,	,	PUNCT
cord-005350-19za0msu	163	3	while	while	SCONJ
cord-005350-19za0msu	163	4	the	the	DET
cord-005350-19za0msu	163	5	transcritical	transcritical	ADJ
cord-005350-19za0msu	163	6	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	163	7	occurs	occur	VERB
cord-005350-19za0msu	163	8	in	in	ADP
cord-005350-19za0msu	163	9	a	a	DET
cord-005350-19za0msu	163	10	suitably	suitably	ADV
cord-005350-19za0msu	163	11	constructed	construct	VERB
cord-005350-19za0msu	163	12	limiting	limiting	NOUN
cord-005350-19za0msu	163	13	case	case	NOUN
cord-005350-19za0msu	163	14	(	(	PUNCT
cord-005350-19za0msu	163	15	η	η	NOUN
cord-005350-19za0msu	163	16	=	=	NOUN
cord-005350-19za0msu	163	17	0	0	NUM
cord-005350-19za0msu	163	18	)	)	PUNCT
cord-005350-19za0msu	163	19	,	,	PUNCT
cord-005350-19za0msu	163	20	the	the	DET
cord-005350-19za0msu	163	21	limit	limit	NOUN
cord-005350-19za0msu	163	22	case	case	NOUN
cord-005350-19za0msu	163	23	may	may	AUX
cord-005350-19za0msu	163	24	give	give	VERB
cord-005350-19za0msu	163	25	an	an	DET
cord-005350-19za0msu	163	26	indication	indication	NOUN
cord-005350-19za0msu	163	27	for	for	ADP
cord-005350-19za0msu	163	28	the	the	DET
cord-005350-19za0msu	163	29	behavior	behavior	NOUN
cord-005350-19za0msu	163	30	of	of	ADP
cord-005350-19za0msu	163	31	the	the	DET
cord-005350-19za0msu	163	32	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	163	33	for	for	ADP
cord-005350-19za0msu	163	34	the	the	DET
cord-005350-19za0msu	163	35	stochastic	stochastic	ADJ
cord-005350-19za0msu	163	36	version	version	NOUN
cord-005350-19za0msu	163	37	of	of	ADP
cord-005350-19za0msu	163	38	the	the	DET
cord-005350-19za0msu	163	39	model	model	NOUN
cord-005350-19za0msu	163	40	with	with	ADP
cord-005350-19za0msu	163	41	immigration	immigration	NOUN
cord-005350-19za0msu	163	42	,	,	PUNCT
cord-005350-19za0msu	163	43	provided	provide	VERB
cord-005350-19za0msu	163	44	that	that	SCONJ
cord-005350-19za0msu	163	45	η	η	NOUN
cord-005350-19za0msu	163	46	is	be	AUX
cord-005350-19za0msu	163	47	small	small	ADJ
cord-005350-19za0msu	163	48	.	.	PUNCT
cord-005350-19za0msu	164	1	gradual	gradual	ADJ
cord-005350-19za0msu	164	2	changes	change	NOUN
cord-005350-19za0msu	164	3	in	in	ADP
cord-005350-19za0msu	164	4	the	the	DET
cord-005350-19za0msu	164	5	vaccination	vaccination	NOUN
cord-005350-19za0msu	164	6	uptake	uptake	NOUN
cord-005350-19za0msu	164	7	rate	rate	NOUN
cord-005350-19za0msu	164	8	p	p	PROPN
cord-005350-19za0msu	164	9	may	may	AUX
cord-005350-19za0msu	164	10	induce	induce	VERB
cord-005350-19za0msu	164	11	a	a	DET
cord-005350-19za0msu	164	12	transition	transition	NOUN
cord-005350-19za0msu	164	13	from	from	ADP
cord-005350-19za0msu	164	14	endemicity	endemicity	NOUN
cord-005350-19za0msu	164	15	or	or	CCONJ
cord-005350-19za0msu	164	16	to	to	ADP
cord-005350-19za0msu	164	17	extinction	extinction	NOUN
cord-005350-19za0msu	164	18	.	.	PUNCT
cord-005350-19za0msu	165	1	recruitment	recruitment	NOUN
cord-005350-19za0msu	165	2	of	of	ADP
cord-005350-19za0msu	165	3	susceptibles	susceptible	NOUN
cord-005350-19za0msu	165	4	may	may	AUX
cord-005350-19za0msu	165	5	slowly	slowly	ADV
cord-005350-19za0msu	165	6	vary	vary	VERB
cord-005350-19za0msu	165	7	over	over	ADP
cord-005350-19za0msu	165	8	long	long	ADJ
cord-005350-19za0msu	165	9	time	time	NOUN
cord-005350-19za0msu	165	10	scales	scale	NOUN
cord-005350-19za0msu	165	11	as	as	ADP
cord-005350-19za0msu	165	12	a	a	DET
cord-005350-19za0msu	165	13	result	result	NOUN
cord-005350-19za0msu	165	14	of	of	ADP
cord-005350-19za0msu	165	15	demographic	demographic	ADJ
cord-005350-19za0msu	165	16	or	or	CCONJ
cord-005350-19za0msu	165	17	evolutionary	evolutionary	ADJ
cord-005350-19za0msu	165	18	changes	change	NOUN
cord-005350-19za0msu	165	19	.	.	PUNCT
cord-005350-19za0msu	166	1	vaccination	vaccination	NOUN
cord-005350-19za0msu	166	2	uptake	uptake	NOUN
cord-005350-19za0msu	166	3	rates	rate	NOUN
cord-005350-19za0msu	166	4	are	be	AUX
cord-005350-19za0msu	166	5	often	often	ADV
cord-005350-19za0msu	166	6	not	not	PART
cord-005350-19za0msu	166	7	constant	constant	ADJ
cord-005350-19za0msu	166	8	over	over	ADP
cord-005350-19za0msu	166	9	time	time	NOUN
cord-005350-19za0msu	166	10	and	and	CCONJ
cord-005350-19za0msu	166	11	may	may	AUX
cord-005350-19za0msu	166	12	exhibit	exhibit	VERB
cord-005350-19za0msu	166	13	trends	trend	NOUN
cord-005350-19za0msu	166	14	,	,	PUNCT
cord-005350-19za0msu	166	15	e.g.	e.g.	ADV
cord-005350-19za0msu	166	16	,	,	PUNCT
cord-005350-19za0msu	166	17	percentage	percentage	NOUN
cord-005350-19za0msu	166	18	uptake	uptake	NOUN
cord-005350-19za0msu	166	19	of	of	ADP
cord-005350-19za0msu	166	20	pertussis	pertussis	NOUN
cord-005350-19za0msu	166	21	vaccine	vaccine	NOUN
cord-005350-19za0msu	166	22	in	in	ADP
cord-005350-19za0msu	166	23	the	the	DET
cord-005350-19za0msu	166	24	usa	usa	PROPN
cord-005350-19za0msu	166	25	(	(	PUNCT
cord-005350-19za0msu	166	26	rohani	rohani	PROPN
cord-005350-19za0msu	166	27	and	and	CCONJ
cord-005350-19za0msu	166	28	drake	drake	NOUN
cord-005350-19za0msu	166	29	2011	2011	NUM
cord-005350-19za0msu	166	30	)	)	PUNCT
cord-005350-19za0msu	166	31	.	.	PUNCT
cord-005350-19za0msu	167	1	mathematically	mathematically	ADV
cord-005350-19za0msu	167	2	,	,	PUNCT
cord-005350-19za0msu	167	3	we	we	PRON
cord-005350-19za0msu	167	4	may	may	AUX
cord-005350-19za0msu	167	5	express	express	VERB
cord-005350-19za0msu	167	6	the	the	DET
cord-005350-19za0msu	167	7	sir	sir	PROPN
cord-005350-19za0msu	167	8	model	model	NOUN
cord-005350-19za0msu	167	9	approaching	approach	VERB
cord-005350-19za0msu	167	10	a	a	DET
cord-005350-19za0msu	167	11	transcritical	transcritical	ADJ
cord-005350-19za0msu	167	12	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	167	13	as	as	ADP
cord-005350-19za0msu	167	14	a	a	DET
cord-005350-19za0msu	167	15	fast	fast	ADV
cord-005350-19za0msu	167	16	-	-	PUNCT
cord-005350-19za0msu	167	17	slow	slow	ADJ
cord-005350-19za0msu	167	18	system	system	NOUN
cord-005350-19za0msu	167	19	:	:	PUNCT
cord-005350-19za0msu	167	20	where	where	SCONJ
cord-005350-19za0msu	167	21	0	0	NUM
cord-005350-19za0msu	167	22	<	<	X
cord-005350-19za0msu	167	23	1	1	NUM
cord-005350-19za0msu	167	24	and	and	CCONJ
cord-005350-19za0msu	167	25	the	the	DET
cord-005350-19za0msu	167	26	function	function	NOUN
cord-005350-19za0msu	167	27	f	f	PROPN
cord-005350-19za0msu	167	28	describes	describe	VERB
cord-005350-19za0msu	167	29	the	the	DET
cord-005350-19za0msu	167	30	change	change	NOUN
cord-005350-19za0msu	167	31	in	in	ADP
cord-005350-19za0msu	167	32	vaccination	vaccination	NOUN
cord-005350-19za0msu	167	33	uptake	uptake	NOUN
cord-005350-19za0msu	167	34	p.	p.	NOUN
cord-005350-19za0msu	167	35	again	again	ADV
cord-005350-19za0msu	167	36	,	,	PUNCT
cord-005350-19za0msu	167	37	we	we	PRON
cord-005350-19za0msu	167	38	model	model	VERB
cord-005350-19za0msu	167	39	vaccination	vaccination	NOUN
cord-005350-19za0msu	167	40	uptake	uptake	NOUN
cord-005350-19za0msu	167	41	as	as	ADP
cord-005350-19za0msu	167	42	a	a	DET
cord-005350-19za0msu	167	43	linear	linear	ADJ
cord-005350-19za0msu	167	44	function	function	NOUN
cord-005350-19za0msu	167	45	of	of	ADP
cord-005350-19za0msu	167	46	time	time	NOUN
cord-005350-19za0msu	167	47	p(t	p(t	NOUN
cord-005350-19za0msu	167	48	)	)	PUNCT
cord-005350-19za0msu	168	1	=	=	NOUN
cord-005350-19za0msu	168	2	p	p	PROPN
cord-005350-19za0msu	168	3	s	s	PROPN
cord-005350-19za0msu	168	4	+	+	X
cord-005350-19za0msu	168	5	p	p	SYM
cord-005350-19za0msu	168	6	0	0	NUM
cord-005350-19za0msu	168	7	t	t	NOUN
cord-005350-19za0msu	168	8	,	,	PUNCT
cord-005350-19za0msu	168	9	with	with	ADP
cord-005350-19za0msu	168	10	p	p	PROPN
cord-005350-19za0msu	168	11	0	0	NUM
cord-005350-19za0msu	168	12	an	an	DET
cord-005350-19za0msu	168	13	incremental	incremental	ADJ
cord-005350-19za0msu	168	14	change	change	NOUN
cord-005350-19za0msu	168	15	in	in	ADP
cord-005350-19za0msu	168	16	p.	p.	PROPN
cord-005350-19za0msu	168	17	consequently	consequently	ADV
cord-005350-19za0msu	168	18	,	,	PUNCT
cord-005350-19za0msu	168	19	ṗ	ṗ	NOUN
cord-005350-19za0msu	168	20	=	=	PROPN
cord-005350-19za0msu	168	21	p	p	X
cord-005350-19za0msu	168	22	0	0	NUM
cord-005350-19za0msu	168	23	.	.	PUNCT
cord-005350-19za0msu	169	1	if	if	SCONJ
cord-005350-19za0msu	169	2	p	p	NOUN
cord-005350-19za0msu	169	3	0	0	PUNCT
cord-005350-19za0msu	169	4	>	>	PUNCT
cord-005350-19za0msu	169	5	0	0	NUM
cord-005350-19za0msu	169	6	,	,	PUNCT
cord-005350-19za0msu	169	7	recruitment	recruitment	NOUN
cord-005350-19za0msu	169	8	into	into	ADP
cord-005350-19za0msu	169	9	the	the	DET
cord-005350-19za0msu	169	10	susceptible	susceptible	ADJ
cord-005350-19za0msu	169	11	class	class	NOUN
cord-005350-19za0msu	169	12	is	be	AUX
cord-005350-19za0msu	169	13	slowly	slowly	ADV
cord-005350-19za0msu	169	14	declining	decline	VERB
cord-005350-19za0msu	169	15	over	over	ADP
cord-005350-19za0msu	169	16	time	time	NOUN
cord-005350-19za0msu	169	17	and	and	CCONJ
cord-005350-19za0msu	169	18	if	if	SCONJ
cord-005350-19za0msu	169	19	p	p	NOUN
cord-005350-19za0msu	169	20	0	0	PUNCT
cord-005350-19za0msu	169	21	<	<	PUNCT
cord-005350-19za0msu	169	22	0	0	NUM
cord-005350-19za0msu	169	23	,	,	PUNCT
cord-005350-19za0msu	169	24	then	then	ADV
cord-005350-19za0msu	169	25	recruitment	recruitment	NOUN
cord-005350-19za0msu	169	26	is	be	AUX
cord-005350-19za0msu	169	27	slowly	slowly	ADV
cord-005350-19za0msu	169	28	increasing	increase	VERB
cord-005350-19za0msu	169	29	over	over	ADP
cord-005350-19za0msu	169	30	time	time	NOUN
cord-005350-19za0msu	169	31	.	.	PUNCT
cord-005350-19za0msu	170	1	in	in	ADP
cord-005350-19za0msu	170	2	the	the	DET
cord-005350-19za0msu	170	3	limit	limit	NOUN
cord-005350-19za0msu	170	4	→	→	SYM
cord-005350-19za0msu	170	5	0	0	NUM
cord-005350-19za0msu	170	6	,	,	PUNCT
cord-005350-19za0msu	170	7	the	the	DET
cord-005350-19za0msu	170	8	vaccination	vaccination	NOUN
cord-005350-19za0msu	170	9	uptake	uptake	NOUN
cord-005350-19za0msu	170	10	is	be	AUX
cord-005350-19za0msu	170	11	fixed	fix	VERB
cord-005350-19za0msu	170	12	at	at	ADP
cord-005350-19za0msu	170	13	a	a	DET
cord-005350-19za0msu	170	14	constant	constant	ADJ
cord-005350-19za0msu	170	15	rate	rate	NOUN
cord-005350-19za0msu	170	16	p	p	NOUN
cord-005350-19za0msu	170	17	s	s	PROPN
cord-005350-19za0msu	170	18	,	,	PUNCT
cord-005350-19za0msu	170	19	and	and	CCONJ
cord-005350-19za0msu	170	20	the	the	DET
cord-005350-19za0msu	170	21	system	system	NOUN
cord-005350-19za0msu	170	22	is	be	AUX
cord-005350-19za0msu	170	23	stable	stable	ADJ
cord-005350-19za0msu	170	24	.	.	PUNCT
cord-005350-19za0msu	171	1	figure	figure	NOUN
cord-005350-19za0msu	171	2	2	2	NUM
cord-005350-19za0msu	171	3	shows	show	VERB
cord-005350-19za0msu	171	4	the	the	DET
cord-005350-19za0msu	171	5	transcritical	transcritical	ADJ
cord-005350-19za0msu	171	6	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	171	7	diagram	diagram	NOUN
cord-005350-19za0msu	171	8	for	for	ADP
cord-005350-19za0msu	171	9	the	the	DET
cord-005350-19za0msu	171	10	sir	sir	PROPN
cord-005350-19za0msu	171	11	model	model	NOUN
cord-005350-19za0msu	171	12	.	.	PUNCT
cord-005350-19za0msu	172	1	the	the	DET
cord-005350-19za0msu	172	2	infectious	infectious	ADJ
cord-005350-19za0msu	172	3	equilibrium	equilibrium	PROPN
cord-005350-19za0msu	172	4	y	y	PROPN
cord-005350-19za0msu	172	5	*	*	PUNCT
cord-005350-19za0msu	172	6	is	be	AUX
cord-005350-19za0msu	172	7	plotted	plot	VERB
cord-005350-19za0msu	172	8	as	as	ADP
cord-005350-19za0msu	172	9	a	a	DET
cord-005350-19za0msu	172	10	function	function	NOUN
cord-005350-19za0msu	172	11	of	of	ADP
cord-005350-19za0msu	172	12	vaccination	vaccination	NOUN
cord-005350-19za0msu	172	13	uptake	uptake	NOUN
cord-005350-19za0msu	172	14	p.	p.	NOUN
cord-005350-19za0msu	172	15	the	the	DET
cord-005350-19za0msu	172	16	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	172	17	diagram	diagram	NOUN
cord-005350-19za0msu	172	18	indicates	indicate	VERB
cord-005350-19za0msu	172	19	that	that	SCONJ
cord-005350-19za0msu	172	20	the	the	DET
cord-005350-19za0msu	172	21	endemic	endemic	ADJ
cord-005350-19za0msu	172	22	infectious	infectious	ADJ
cord-005350-19za0msu	172	23	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	172	24	declines	decline	VERB
cord-005350-19za0msu	172	25	linearly	linearly	ADV
cord-005350-19za0msu	172	26	with	with	ADP
cord-005350-19za0msu	172	27	p	p	NOUN
cord-005350-19za0msu	172	28	in	in	ADP
cord-005350-19za0msu	172	29	the	the	DET
cord-005350-19za0msu	172	30	models	model	NOUN
cord-005350-19za0msu	172	31	with	with	ADP
cord-005350-19za0msu	172	32	and	and	CCONJ
cord-005350-19za0msu	172	33	without	without	ADP
cord-005350-19za0msu	172	34	immigration	immigration	NOUN
cord-005350-19za0msu	172	35	.	.	PUNCT
cord-005350-19za0msu	173	1	however	however	ADV
cord-005350-19za0msu	173	2	,	,	PUNCT
cord-005350-19za0msu	173	3	the	the	DET
cord-005350-19za0msu	173	4	inset	inset	ADJ
cord-005350-19za0msu	173	5	plot	plot	NOUN
cord-005350-19za0msu	173	6	indicates	indicate	VERB
cord-005350-19za0msu	173	7	that	that	SCONJ
cord-005350-19za0msu	173	8	in	in	ADP
cord-005350-19za0msu	173	9	the	the	DET
cord-005350-19za0msu	173	10	vicinity	vicinity	NOUN
cord-005350-19za0msu	173	11	of	of	ADP
cord-005350-19za0msu	173	12	the	the	DET
cord-005350-19za0msu	173	13	η	η	PROPN
cord-005350-19za0msu	173	14	=	=	SYM
cord-005350-19za0msu	173	15	0	0	NUM
cord-005350-19za0msu	173	16	critical	critical	ADJ
cord-005350-19za0msu	173	17	point	point	NOUN
cord-005350-19za0msu	173	18	,	,	PUNCT
cord-005350-19za0msu	173	19	the	the	DET
cord-005350-19za0msu	173	20	infectious	infectious	ADJ
cord-005350-19za0msu	173	21	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	173	22	of	of	ADP
cord-005350-19za0msu	173	23	the	the	DET
cord-005350-19za0msu	173	24	immigration	immigration	NOUN
cord-005350-19za0msu	173	25	model	model	NOUN
cord-005350-19za0msu	173	26	is	be	AUX
cord-005350-19za0msu	173	27	elevated	elevate	VERB
cord-005350-19za0msu	173	28	relative	relative	ADJ
cord-005350-19za0msu	173	29	to	to	ADP
cord-005350-19za0msu	173	30	the	the	DET
cord-005350-19za0msu	173	31	disease	disease	NOUN
cord-005350-19za0msu	173	32	-	-	PUNCT
cord-005350-19za0msu	173	33	free	free	ADJ
cord-005350-19za0msu	173	34	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	173	35	,	,	PUNCT
cord-005350-19za0msu	173	36	since	since	SCONJ
cord-005350-19za0msu	173	37	the	the	DET
cord-005350-19za0msu	173	38	infectious	infectious	ADJ
cord-005350-19za0msu	173	39	population	population	NOUN
cord-005350-19za0msu	173	40	is	be	AUX
cord-005350-19za0msu	173	41	sustained	sustain	VERB
cord-005350-19za0msu	173	42	at	at	ADP
cord-005350-19za0msu	173	43	a	a	DET
cord-005350-19za0msu	173	44	low	low	ADJ
cord-005350-19za0msu	173	45	level	level	NOUN
cord-005350-19za0msu	173	46	due	due	ADP
cord-005350-19za0msu	173	47	to	to	ADP
cord-005350-19za0msu	173	48	immigration	immigration	NOUN
cord-005350-19za0msu	173	49	.	.	PUNCT
cord-005350-19za0msu	174	1	model	model	NOUN
cord-005350-19za0msu	174	2	(	(	PUNCT
cord-005350-19za0msu	174	3	7	7	NUM
cord-005350-19za0msu	174	4	)	)	PUNCT
cord-005350-19za0msu	174	5	is	be	AUX
cord-005350-19za0msu	174	6	the	the	DET
cord-005350-19za0msu	174	7	deterministic	deterministic	ADJ
cord-005350-19za0msu	174	8	description	description	NOUN
cord-005350-19za0msu	174	9	of	of	ADP
cord-005350-19za0msu	174	10	the	the	DET
cord-005350-19za0msu	174	11	sir	sir	PROPN
cord-005350-19za0msu	174	12	system	system	NOUN
cord-005350-19za0msu	174	13	approaching	approach	VERB
cord-005350-19za0msu	174	14	a	a	DET
cord-005350-19za0msu	174	15	transition	transition	NOUN
cord-005350-19za0msu	174	16	,	,	PUNCT
cord-005350-19za0msu	174	17	but	but	CCONJ
cord-005350-19za0msu	174	18	there	there	PRON
cord-005350-19za0msu	174	19	will	will	AUX
cord-005350-19za0msu	174	20	be	be	AUX
cord-005350-19za0msu	174	21	stochastic	stochastic	ADJ
cord-005350-19za0msu	174	22	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	174	23	in	in	ADP
cord-005350-19za0msu	174	24	the	the	DET
cord-005350-19za0msu	174	25	state	state	NOUN
cord-005350-19za0msu	174	26	of	of	ADP
cord-005350-19za0msu	174	27	the	the	DET
cord-005350-19za0msu	174	28	system	system	NOUN
cord-005350-19za0msu	174	29	as	as	SCONJ
cord-005350-19za0msu	174	30	the	the	DET
cord-005350-19za0msu	174	31	transition	transition	NOUN
cord-005350-19za0msu	174	32	is	be	AUX
cord-005350-19za0msu	174	33	approached	approach	VERB
cord-005350-19za0msu	174	34	.	.	PUNCT
cord-005350-19za0msu	175	1	as	as	ADP
cord-005350-19za0msu	175	2	before	before	ADV
cord-005350-19za0msu	175	3	,	,	PUNCT
cord-005350-19za0msu	175	4	we	we	PRON
cord-005350-19za0msu	175	5	assume	assume	VERB
cord-005350-19za0msu	175	6	that	that	SCONJ
cord-005350-19za0msu	175	7	these	these	DET
cord-005350-19za0msu	175	8	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	175	9	result	result	VERB
cord-005350-19za0msu	175	10	from	from	ADP
cord-005350-19za0msu	175	11	demographic	demographic	ADJ
cord-005350-19za0msu	175	12	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	175	13	.	.	PUNCT
cord-005350-19za0msu	176	1	to	to	PART
cord-005350-19za0msu	176	2	quantify	quantify	VERB
cord-005350-19za0msu	176	3	these	these	DET
cord-005350-19za0msu	176	4	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	176	5	,	,	PUNCT
cord-005350-19za0msu	176	6	we	we	PRON
cord-005350-19za0msu	176	7	assume	assume	VERB
cord-005350-19za0msu	176	8	individuals	individual	NOUN
cord-005350-19za0msu	176	9	are	be	AUX
cord-005350-19za0msu	176	10	identical	identical	ADJ
cord-005350-19za0msu	176	11	.	.	PUNCT
cord-005350-19za0msu	177	1	individuals	individual	NOUN
cord-005350-19za0msu	177	2	may	may	AUX
cord-005350-19za0msu	177	3	be	be	AUX
cord-005350-19za0msu	177	4	recruited	recruit	VERB
cord-005350-19za0msu	177	5	into	into	ADP
cord-005350-19za0msu	177	6	the	the	DET
cord-005350-19za0msu	177	7	susceptible	susceptible	ADJ
cord-005350-19za0msu	177	8	state	state	NOUN
cord-005350-19za0msu	177	9	and	and	CCONJ
cord-005350-19za0msu	177	10	can	can	AUX
cord-005350-19za0msu	177	11	transition	transition	VERB
cord-005350-19za0msu	177	12	out	out	ADP
cord-005350-19za0msu	177	13	of	of	ADP
cord-005350-19za0msu	177	14	this	this	DET
cord-005350-19za0msu	177	15	state	state	NOUN
cord-005350-19za0msu	177	16	through	through	ADP
cord-005350-19za0msu	177	17	infection	infection	NOUN
cord-005350-19za0msu	177	18	or	or	CCONJ
cord-005350-19za0msu	177	19	death	death	NOUN
cord-005350-19za0msu	177	20	.	.	PUNCT
cord-005350-19za0msu	178	1	infectious	infectious	ADJ
cord-005350-19za0msu	178	2	individuals	individual	NOUN
cord-005350-19za0msu	178	3	may	may	AUX
cord-005350-19za0msu	178	4	recover	recover	VERB
cord-005350-19za0msu	178	5	or	or	CCONJ
cord-005350-19za0msu	178	6	die	die	VERB
cord-005350-19za0msu	178	7	.	.	PUNCT
cord-005350-19za0msu	179	1	assuming	assume	VERB
cord-005350-19za0msu	179	2	that	that	SCONJ
cord-005350-19za0msu	179	3	the	the	DET
cord-005350-19za0msu	179	4	population	population	NOUN
cord-005350-19za0msu	179	5	size	size	NOUN
cord-005350-19za0msu	179	6	s(t)+i	s(t)+i	PROPN
cord-005350-19za0msu	179	7	(	(	PUNCT
cord-005350-19za0msu	179	8	t)+r(t	t)+r(t	NOUN
cord-005350-19za0msu	179	9	)	)	PUNCT
cord-005350-19za0msu	179	10	=	=	NOUN
cord-005350-19za0msu	179	11	n	n	ADV
cord-005350-19za0msu	179	12	is	be	AUX
cord-005350-19za0msu	179	13	constant	constant	ADJ
cord-005350-19za0msu	179	14	,	,	PUNCT
cord-005350-19za0msu	179	15	we	we	PRON
cord-005350-19za0msu	179	16	need	need	VERB
cord-005350-19za0msu	179	17	only	only	ADV
cord-005350-19za0msu	179	18	consider	consider	VERB
cord-005350-19za0msu	179	19	the	the	DET
cord-005350-19za0msu	179	20	transitions	transition	NOUN
cord-005350-19za0msu	179	21	into	into	ADP
cord-005350-19za0msu	179	22	and	and	CCONJ
cord-005350-19za0msu	179	23	out	out	ADP
cord-005350-19za0msu	179	24	of	of	ADP
cord-005350-19za0msu	179	25	the	the	DET
cord-005350-19za0msu	179	26	susceptible	susceptible	ADJ
cord-005350-19za0msu	179	27	and	and	CCONJ
cord-005350-19za0msu	179	28	infectious	infectious	ADJ
cord-005350-19za0msu	179	29	states	state	NOUN
cord-005350-19za0msu	179	30	.	.	PUNCT
cord-005350-19za0msu	180	1	furthermore	furthermore	ADV
cord-005350-19za0msu	180	2	,	,	PUNCT
cord-005350-19za0msu	180	3	since	since	SCONJ
cord-005350-19za0msu	180	4	the	the	DET
cord-005350-19za0msu	180	5	sir	sir	PROPN
cord-005350-19za0msu	180	6	system	system	NOUN
cord-005350-19za0msu	180	7	moving	move	VERB
cord-005350-19za0msu	180	8	towards	towards	ADP
cord-005350-19za0msu	180	9	a	a	DET
cord-005350-19za0msu	180	10	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	180	11	is	be	AUX
cord-005350-19za0msu	180	12	a	a	DET
cord-005350-19za0msu	180	13	fast	fast	ADV
cord-005350-19za0msu	180	14	-	-	PUNCT
cord-005350-19za0msu	180	15	slow	slow	ADJ
cord-005350-19za0msu	180	16	system	system	NOUN
cord-005350-19za0msu	180	17	,	,	PUNCT
cord-005350-19za0msu	180	18	the	the	DET
cord-005350-19za0msu	180	19	vaccination	vaccination	NOUN
cord-005350-19za0msu	180	20	uptake	uptake	NOUN
cord-005350-19za0msu	180	21	p	p	NOUN
cord-005350-19za0msu	180	22	is	be	AUX
cord-005350-19za0msu	180	23	not	not	PART
cord-005350-19za0msu	180	24	constant	constant	ADJ
cord-005350-19za0msu	180	25	in	in	ADP
cord-005350-19za0msu	180	26	time	time	NOUN
cord-005350-19za0msu	180	27	but	but	CCONJ
cord-005350-19za0msu	180	28	is	be	AUX
cord-005350-19za0msu	180	29	a	a	DET
cord-005350-19za0msu	180	30	slowly	slowly	ADV
cord-005350-19za0msu	180	31	changing	change	VERB
cord-005350-19za0msu	180	32	function	function	NOUN
cord-005350-19za0msu	180	33	of	of	ADP
cord-005350-19za0msu	180	34	time	time	NOUN
cord-005350-19za0msu	180	35	.	.	PUNCT
cord-005350-19za0msu	181	1	therefore	therefore	ADV
cord-005350-19za0msu	181	2	,	,	PUNCT
cord-005350-19za0msu	181	3	the	the	DET
cord-005350-19za0msu	181	4	recruitment	recruitment	NOUN
cord-005350-19za0msu	181	5	rate	rate	NOUN
cord-005350-19za0msu	181	6	into	into	ADP
cord-005350-19za0msu	181	7	the	the	DET
cord-005350-19za0msu	181	8	susceptible	susceptible	ADJ
cord-005350-19za0msu	181	9	class	class	NOUN
cord-005350-19za0msu	181	10	is	be	AUX
cord-005350-19za0msu	181	11	slowly	slowly	ADV
cord-005350-19za0msu	181	12	changing	change	VERB
cord-005350-19za0msu	181	13	,	,	PUNCT
cord-005350-19za0msu	181	14	but	but	CCONJ
cord-005350-19za0msu	181	15	,	,	PUNCT
cord-005350-19za0msu	181	16	for	for	ADP
cord-005350-19za0msu	181	17	each	each	DET
cord-005350-19za0msu	181	18	small	small	ADJ
cord-005350-19za0msu	181	19	time	time	NOUN
cord-005350-19za0msu	181	20	increment	increment	NOUN
cord-005350-19za0msu	181	21	dt	dt	PROPN
cord-005350-19za0msu	181	22	,	,	PUNCT
cord-005350-19za0msu	181	23	we	we	PRON
cord-005350-19za0msu	181	24	can	can	AUX
cord-005350-19za0msu	181	25	treat	treat	VERB
cord-005350-19za0msu	181	26	the	the	DET
cord-005350-19za0msu	181	27	vaccination	vaccination	NOUN
cord-005350-19za0msu	181	28	uptake	uptake	NOUN
cord-005350-19za0msu	181	29	as	as	ADP
cord-005350-19za0msu	181	30	constant	constant	ADJ
cord-005350-19za0msu	181	31	p.	p.	NOUN
cord-005350-19za0msu	181	32	table	table	NOUN
cord-005350-19za0msu	181	33	5	5	NUM
cord-005350-19za0msu	181	34	presents	present	VERB
cord-005350-19za0msu	181	35	the	the	DET
cord-005350-19za0msu	181	36	variables	variable	NOUN
cord-005350-19za0msu	181	37	and	and	CCONJ
cord-005350-19za0msu	181	38	parameters	parameter	NOUN
cord-005350-19za0msu	181	39	of	of	ADP
cord-005350-19za0msu	181	40	the	the	DET
cord-005350-19za0msu	181	41	sir	sir	PROPN
cord-005350-19za0msu	181	42	model	model	NOUN
cord-005350-19za0msu	181	43	.	.	PUNCT
cord-005350-19za0msu	182	1	events	event	NOUN
cord-005350-19za0msu	182	2	that	that	PRON
cord-005350-19za0msu	182	3	occur	occur	VERB
cord-005350-19za0msu	182	4	in	in	ADP
cord-005350-19za0msu	182	5	an	an	DET
cord-005350-19za0msu	182	6	sir	sir	NOUN
cord-005350-19za0msu	182	7	process	process	NOUN
cord-005350-19za0msu	182	8	in	in	ADP
cord-005350-19za0msu	182	9	a	a	DET
cord-005350-19za0msu	182	10	small	small	ADJ
cord-005350-19za0msu	182	11	time	time	NOUN
cord-005350-19za0msu	182	12	increment	increment	NOUN
cord-005350-19za0msu	182	13	dt	dt	X
cord-005350-19za0msu	182	14	moving	move	VERB
cord-005350-19za0msu	182	15	slowly	slowly	ADV
cord-005350-19za0msu	182	16	towards	towards	ADP
cord-005350-19za0msu	182	17	a	a	DET
cord-005350-19za0msu	182	18	transition	transition	NOUN
cord-005350-19za0msu	182	19	include	include	VERB
cord-005350-19za0msu	182	20	infection	infection	NOUN
cord-005350-19za0msu	182	21	,	,	PUNCT
cord-005350-19za0msu	182	22	recovery	recovery	NOUN
cord-005350-19za0msu	182	23	,	,	PUNCT
cord-005350-19za0msu	182	24	recruitment	recruitment	NOUN
cord-005350-19za0msu	182	25	to	to	ADP
cord-005350-19za0msu	182	26	the	the	DET
cord-005350-19za0msu	182	27	susceptible	susceptible	ADJ
cord-005350-19za0msu	182	28	class	class	NOUN
cord-005350-19za0msu	182	29	,	,	PUNCT
cord-005350-19za0msu	182	30	and	and	CCONJ
cord-005350-19za0msu	182	31	death	death	NOUN
cord-005350-19za0msu	182	32	due	due	ADP
cord-005350-19za0msu	182	33	to	to	ADP
cord-005350-19za0msu	182	34	natural	natural	ADJ
cord-005350-19za0msu	182	35	causes	cause	NOUN
cord-005350-19za0msu	182	36	.	.	PUNCT
cord-005350-19za0msu	183	1	table	table	NOUN
cord-005350-19za0msu	183	2	6	6	NUM
cord-005350-19za0msu	183	3	outlines	outline	VERB
cord-005350-19za0msu	183	4	the	the	DET
cord-005350-19za0msu	183	5	events	event	NOUN
cord-005350-19za0msu	183	6	,	,	PUNCT
cord-005350-19za0msu	183	7	changes	change	NOUN
cord-005350-19za0msu	183	8	in	in	ADP
cord-005350-19za0msu	183	9	state	state	NOUN
cord-005350-19za0msu	183	10	,	,	PUNCT
cord-005350-19za0msu	183	11	and	and	CCONJ
cord-005350-19za0msu	183	12	the	the	DET
cord-005350-19za0msu	183	13	transition	transition	NOUN
cord-005350-19za0msu	183	14	probabilities	probability	NOUN
cord-005350-19za0msu	183	15	per	per	ADP
cord-005350-19za0msu	183	16	unit	unit	NOUN
cord-005350-19za0msu	183	17	time	time	NOUN
cord-005350-19za0msu	183	18	for	for	ADP
cord-005350-19za0msu	183	19	each	each	DET
cord-005350-19za0msu	183	20	change	change	NOUN
cord-005350-19za0msu	183	21	in	in	ADP
cord-005350-19za0msu	183	22	state	state	NOUN
cord-005350-19za0msu	183	23	.	.	PUNCT
cord-005350-19za0msu	184	1	we	we	PRON
cord-005350-19za0msu	184	2	can	can	AUX
cord-005350-19za0msu	184	3	construct	construct	VERB
cord-005350-19za0msu	184	4	a	a	DET
cord-005350-19za0msu	184	5	master	master	NOUN
cord-005350-19za0msu	184	6	equation	equation	NOUN
cord-005350-19za0msu	184	7	in	in	ADP
cord-005350-19za0msu	184	8	the	the	DET
cord-005350-19za0msu	184	9	same	same	ADJ
cord-005350-19za0msu	184	10	manner	manner	NOUN
cord-005350-19za0msu	184	11	as	as	ADP
cord-005350-19za0msu	184	12	for	for	ADP
cord-005350-19za0msu	184	13	the	the	DET
cord-005350-19za0msu	184	14	sis	sis	NOUN
cord-005350-19za0msu	184	15	model	model	NOUN
cord-005350-19za0msu	184	16	.	.	PUNCT
cord-005350-19za0msu	185	1	letting	let	VERB
cord-005350-19za0msu	185	2	p	p	PROPN
cord-005350-19za0msu	185	3	(	(	PUNCT
cord-005350-19za0msu	185	4	s	s	PROPN
cord-005350-19za0msu	185	5	,	,	PUNCT
cord-005350-19za0msu	185	6	i	i	PROPN
cord-005350-19za0msu	185	7	,	,	PUNCT
cord-005350-19za0msu	185	8	t	t	NOUN
cord-005350-19za0msu	185	9	)	)	PUNCT
cord-005350-19za0msu	185	10	=	=	NOUN
cord-005350-19za0msu	185	11	prob((s(t	prob((s(t	NOUN
cord-005350-19za0msu	185	12	)	)	PUNCT
cord-005350-19za0msu	185	13	,	,	PUNCT
cord-005350-19za0msu	185	14	i	i	PROPN
cord-005350-19za0msu	185	15	(	(	PUNCT
cord-005350-19za0msu	185	16	t	t	NOUN
cord-005350-19za0msu	185	17	)	)	PUNCT
cord-005350-19za0msu	185	18	)	)	PUNCT
cord-005350-19za0msu	185	19	=	=	PROPN
cord-005350-19za0msu	185	20	(	(	PUNCT
cord-005350-19za0msu	185	21	s	s	PROPN
cord-005350-19za0msu	185	22	,	,	PUNCT
cord-005350-19za0msu	185	23	i	i	NOUN
cord-005350-19za0msu	185	24	)	)	PUNCT
cord-005350-19za0msu	185	25	)	)	PUNCT
cord-005350-19za0msu	185	26	be	be	VERB
cord-005350-19za0msu	185	27	the	the	DET
cord-005350-19za0msu	185	28	probability	probability	NOUN
cord-005350-19za0msu	185	29	is	be	AUX
cord-005350-19za0msu	185	30	equal	equal	ADJ
cord-005350-19za0msu	185	31	to	to	ADP
cord-005350-19za0msu	185	32	some	some	DET
cord-005350-19za0msu	185	33	nonnegative	nonnegative	ADJ
cord-005350-19za0msu	185	34	integer	integer	PROPN
cord-005350-19za0msu	185	35	(	(	PUNCT
cord-005350-19za0msu	185	36	s	s	PROPN
cord-005350-19za0msu	185	37	,	,	PUNCT
cord-005350-19za0msu	185	38	i	i	NOUN
cord-005350-19za0msu	185	39	)	)	PUNCT
cord-005350-19za0msu	185	40	,	,	PUNCT
cord-005350-19za0msu	185	41	the	the	DET
cord-005350-19za0msu	185	42	master	master	NOUN
cord-005350-19za0msu	185	43	equation	equation	NOUN
cord-005350-19za0msu	185	44	for	for	ADP
cord-005350-19za0msu	185	45	the	the	DET
cord-005350-19za0msu	185	46	evolution	evolution	NOUN
cord-005350-19za0msu	185	47	of	of	ADP
cord-005350-19za0msu	185	48	the	the	DET
cord-005350-19za0msu	185	49	probability	probability	NOUN
cord-005350-19za0msu	185	50	of	of	ADP
cord-005350-19za0msu	185	51	the	the	DET
cord-005350-19za0msu	185	52	population	population	NOUN
cord-005350-19za0msu	185	53	being	be	AUX
cord-005350-19za0msu	185	54	in	in	ADP
cord-005350-19za0msu	185	55	state	state	NOUN
cord-005350-19za0msu	185	56	α	α	PROPN
cord-005350-19za0msu	185	57	=	=	PROPN
cord-005350-19za0msu	185	58	(	(	PUNCT
cord-005350-19za0msu	185	59	s	s	PROPN
cord-005350-19za0msu	185	60	,	,	PUNCT
cord-005350-19za0msu	185	61	i	i	NOUN
cord-005350-19za0msu	185	62	)	)	PUNCT
cord-005350-19za0msu	185	63	whereα	whereα	NOUN
cord-005350-19za0msu	185	64	describes	describe	VERB
cord-005350-19za0msu	185	65	all	all	DET
cord-005350-19za0msu	185	66	other	other	ADJ
cord-005350-19za0msu	185	67	states	state	NOUN
cord-005350-19za0msu	185	68	(	(	PUNCT
cord-005350-19za0msu	185	69	table	table	NOUN
cord-005350-19za0msu	185	70	3	3	NUM
cord-005350-19za0msu	185	71	)	)	PUNCT
cord-005350-19za0msu	185	72	.	.	PUNCT
cord-005350-19za0msu	186	1	the	the	DET
cord-005350-19za0msu	186	2	master	master	PROPN
cord-005350-19za0msu	186	3	eq	eq	PROPN
cord-005350-19za0msu	186	4	.	.	PUNCT
cord-005350-19za0msu	186	5	(	(	PUNCT
cord-005350-19za0msu	186	6	8)	8)	NUM
cord-005350-19za0msu	186	7	is	be	AUX
cord-005350-19za0msu	186	8	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	186	9	and	and	CCONJ
cord-005350-19za0msu	186	10	,	,	PUNCT
cord-005350-19za0msu	186	11	therefore	therefore	ADV
cord-005350-19za0msu	186	12	,	,	PUNCT
cord-005350-19za0msu	186	13	can	can	AUX
cord-005350-19za0msu	186	14	not	not	PART
cord-005350-19za0msu	186	15	be	be	AUX
cord-005350-19za0msu	186	16	solved	solve	VERB
cord-005350-19za0msu	186	17	analytically	analytically	ADV
cord-005350-19za0msu	186	18	.	.	PUNCT
cord-005350-19za0msu	187	1	to	to	PART
cord-005350-19za0msu	187	2	make	make	VERB
cord-005350-19za0msu	187	3	analytical	analytical	ADJ
cord-005350-19za0msu	187	4	progress	progress	NOUN
cord-005350-19za0msu	187	5	with	with	ADP
cord-005350-19za0msu	187	6	eq	eq	PROPN
cord-005350-19za0msu	187	7	.	.	PUNCT
cord-005350-19za0msu	188	1	(	(	PUNCT
cord-005350-19za0msu	188	2	8)	8)	NUM
cord-005350-19za0msu	188	3	,	,	PUNCT
cord-005350-19za0msu	188	4	again	again	ADV
cord-005350-19za0msu	188	5	,	,	PUNCT
cord-005350-19za0msu	188	6	we	we	PRON
cord-005350-19za0msu	188	7	can	can	AUX
cord-005350-19za0msu	188	8	use	use	VERB
cord-005350-19za0msu	188	9	the	the	DET
cord-005350-19za0msu	188	10	van	van	PROPN
cord-005350-19za0msu	188	11	kampen	kampen	PROPN
cord-005350-19za0msu	188	12	system	system	NOUN
cord-005350-19za0msu	188	13	size	size	NOUN
cord-005350-19za0msu	188	14	expansion	expansion	NOUN
cord-005350-19za0msu	188	15	(	(	PUNCT
cord-005350-19za0msu	188	16	see	see	VERB
cord-005350-19za0msu	188	17	appendix	appendix	PROPN
cord-005350-19za0msu	188	18	b	b	PROPN
cord-005350-19za0msu	188	19	for	for	ADP
cord-005350-19za0msu	188	20	details	detail	NOUN
cord-005350-19za0msu	188	21	)	)	PUNCT
cord-005350-19za0msu	188	22	.	.	PUNCT
cord-005350-19za0msu	189	1	the	the	DET
cord-005350-19za0msu	189	2	approach	approach	NOUN
cord-005350-19za0msu	189	3	gives	give	VERB
cord-005350-19za0msu	189	4	rise	rise	NOUN
cord-005350-19za0msu	189	5	to	to	ADP
cord-005350-19za0msu	189	6	the	the	DET
cord-005350-19za0msu	189	7	deterministic	deterministic	ADJ
cord-005350-19za0msu	189	8	sir	sir	NOUN
cord-005350-19za0msu	189	9	fast	fast	ADJ
cord-005350-19za0msu	189	10	-	-	PUNCT
cord-005350-19za0msu	189	11	slow	slow	ADJ
cord-005350-19za0msu	189	12	system	system	NOUN
cord-005350-19za0msu	189	13	(	(	PUNCT
cord-005350-19za0msu	189	14	7	7	NUM
cord-005350-19za0msu	189	15	)	)	PUNCT
cord-005350-19za0msu	189	16	and	and	CCONJ
cord-005350-19za0msu	189	17	a	a	DET
cord-005350-19za0msu	189	18	linear	linear	ADJ
cord-005350-19za0msu	189	19	fokker	fokker	NOUN
cord-005350-19za0msu	189	20	-	-	PUNCT
cord-005350-19za0msu	189	21	planck	planck	NOUN
cord-005350-19za0msu	189	22	equation	equation	NOUN
cord-005350-19za0msu	189	23	that	that	PRON
cord-005350-19za0msu	189	24	describes	describe	VERB
cord-005350-19za0msu	189	25	the	the	DET
cord-005350-19za0msu	189	26	evolution	evolution	NOUN
cord-005350-19za0msu	189	27	of	of	ADP
cord-005350-19za0msu	189	28	the	the	DET
cord-005350-19za0msu	189	29	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	189	30	,	,	PUNCT
cord-005350-19za0msu	189	31	which	which	PRON
cord-005350-19za0msu	189	32	may	may	AUX
cord-005350-19za0msu	189	33	be	be	AUX
cord-005350-19za0msu	189	34	written	write	VERB
cord-005350-19za0msu	189	35	as	as	ADP
cord-005350-19za0msu	189	36	a	a	DET
cord-005350-19za0msu	189	37	system	system	NOUN
cord-005350-19za0msu	189	38	of	of	ADP
cord-005350-19za0msu	189	39	stochastic	stochastic	ADJ
cord-005350-19za0msu	189	40	differential	differential	ADJ
cord-005350-19za0msu	189	41	equations	equation	NOUN
cord-005350-19za0msu	189	42	.	.	PUNCT
cord-005350-19za0msu	190	1	these	these	DET
cord-005350-19za0msu	190	2	equations	equation	NOUN
cord-005350-19za0msu	190	3	can	can	AUX
cord-005350-19za0msu	190	4	be	be	AUX
cord-005350-19za0msu	190	5	analyzed	analyze	VERB
cord-005350-19za0msu	190	6	using	use	VERB
cord-005350-19za0msu	190	7	fourier	fourier	NOUN
cord-005350-19za0msu	190	8	transformation	transformation	NOUN
cord-005350-19za0msu	190	9	.	.	PUNCT
cord-005350-19za0msu	191	1	the	the	DET
cord-005350-19za0msu	191	2	solution	solution	NOUN
cord-005350-19za0msu	191	3	of	of	ADP
cord-005350-19za0msu	191	4	the	the	DET
cord-005350-19za0msu	191	5	fokker	fokker	NOUN
cord-005350-19za0msu	191	6	-	-	PUNCT
cord-005350-19za0msu	191	7	planck	planck	NOUN
cord-005350-19za0msu	191	8	equation	equation	NOUN
cord-005350-19za0msu	191	9	is	be	AUX
cord-005350-19za0msu	191	10	a	a	DET
cord-005350-19za0msu	191	11	bivariate	bivariate	ADJ
cord-005350-19za0msu	191	12	normal	normal	ADJ
cord-005350-19za0msu	191	13	distribution	distribution	NOUN
cord-005350-19za0msu	191	14	.	.	PUNCT
cord-005350-19za0msu	192	1	table	table	NOUN
cord-005350-19za0msu	192	2	4	4	NUM
cord-005350-19za0msu	192	3	summarizes	summarize	VERB
cord-005350-19za0msu	192	4	the	the	DET
cord-005350-19za0msu	192	5	indicator	indicator	NOUN
cord-005350-19za0msu	192	6	statistics	statistic	NOUN
cord-005350-19za0msu	192	7	in	in	ADP
cord-005350-19za0msu	192	8	the	the	DET
cord-005350-19za0msu	192	9	stable	stable	ADJ
cord-005350-19za0msu	192	10	system	system	NOUN
cord-005350-19za0msu	192	11	limiting	limit	VERB
cord-005350-19za0msu	192	12	case	case	NOUN
cord-005350-19za0msu	192	13	→	→	ADP
cord-005350-19za0msu	192	14	0	0	NUM
cord-005350-19za0msu	192	15	for	for	ADP
cord-005350-19za0msu	192	16	the	the	DET
cord-005350-19za0msu	192	17	sir	sir	PROPN
cord-005350-19za0msu	192	18	model	model	NOUN
cord-005350-19za0msu	192	19	,	,	PUNCT
cord-005350-19za0msu	192	20	in	in	ADP
cord-005350-19za0msu	192	21	terms	term	NOUN
cord-005350-19za0msu	192	22	of	of	ADP
cord-005350-19za0msu	192	23	its	its	PRON
cord-005350-19za0msu	192	24	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	192	25	.	.	PUNCT
cord-005350-19za0msu	193	1	the	the	DET
cord-005350-19za0msu	193	2	preceding	precede	VERB
cord-005350-19za0msu	193	3	sections	section	NOUN
cord-005350-19za0msu	193	4	present	present	VERB
cord-005350-19za0msu	193	5	an	an	DET
cord-005350-19za0msu	193	6	analytical	analytical	ADJ
cord-005350-19za0msu	193	7	theory	theory	NOUN
cord-005350-19za0msu	193	8	of	of	ADP
cord-005350-19za0msu	193	9	early	early	ADJ
cord-005350-19za0msu	193	10	warning	warning	NOUN
cord-005350-19za0msu	193	11	signals	signal	NOUN
cord-005350-19za0msu	193	12	for	for	ADP
cord-005350-19za0msu	193	13	emergence	emergence	NOUN
cord-005350-19za0msu	193	14	and	and	CCONJ
cord-005350-19za0msu	193	15	leading	leading	ADJ
cord-005350-19za0msu	193	16	indicators	indicator	NOUN
cord-005350-19za0msu	193	17	of	of	ADP
cord-005350-19za0msu	193	18	elimination	elimination	NOUN
cord-005350-19za0msu	193	19	.	.	PUNCT
cord-005350-19za0msu	194	1	to	to	PART
cord-005350-19za0msu	194	2	investigate	investigate	VERB
cord-005350-19za0msu	194	3	the	the	DET
cord-005350-19za0msu	194	4	results	result	NOUN
cord-005350-19za0msu	194	5	of	of	ADP
cord-005350-19za0msu	194	6	this	this	DET
cord-005350-19za0msu	194	7	theory	theory	NOUN
cord-005350-19za0msu	194	8	for	for	ADP
cord-005350-19za0msu	194	9	a	a	DET
cord-005350-19za0msu	194	10	particular	particular	ADJ
cord-005350-19za0msu	194	11	parameter	parameter	NOUN
cord-005350-19za0msu	194	12	set	set	VERB
cord-005350-19za0msu	194	13	(	(	PUNCT
cord-005350-19za0msu	194	14	table	table	NOUN
cord-005350-19za0msu	194	15	7	7	NUM
cord-005350-19za0msu	194	16	)	)	PUNCT
cord-005350-19za0msu	194	17	,	,	PUNCT
cord-005350-19za0msu	194	18	we	we	PRON
cord-005350-19za0msu	194	19	calculated	calculate	VERB
cord-005350-19za0msu	194	20	leading	leading	ADJ
cord-005350-19za0msu	194	21	indicators	indicator	NOUN
cord-005350-19za0msu	194	22	of	of	ADP
cord-005350-19za0msu	194	23	elimination	elimination	NOUN
cord-005350-19za0msu	194	24	and	and	CCONJ
cord-005350-19za0msu	194	25	emergence	emergence	NOUN
cord-005350-19za0msu	194	26	,	,	PUNCT
cord-005350-19za0msu	194	27	assuming	assume	VERB
cord-005350-19za0msu	194	28	alternatively	alternatively	ADV
cord-005350-19za0msu	194	29	that	that	SCONJ
cord-005350-19za0msu	194	30	(	(	PUNCT
cord-005350-19za0msu	194	31	a	a	X
cord-005350-19za0msu	194	32	)	)	PUNCT
cord-005350-19za0msu	194	33	the	the	DET
cord-005350-19za0msu	194	34	mean	mean	ADJ
cord-005350-19za0msu	194	35	proportion	proportion	NOUN
cord-005350-19za0msu	194	36	of	of	ADP
cord-005350-19za0msu	194	37	infectious	infectious	ADJ
cord-005350-19za0msu	194	38	individuals	individual	NOUN
cord-005350-19za0msu	194	39	is	be	AUX
cord-005350-19za0msu	194	40	given	give	VERB
cord-005350-19za0msu	194	41	by	by	ADP
cord-005350-19za0msu	194	42	the	the	DET
cord-005350-19za0msu	194	43	deterministic	deterministic	ADJ
cord-005350-19za0msu	194	44	endemic	endemic	ADJ
cord-005350-19za0msu	194	45	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	194	46	(	(	PUNCT
cord-005350-19za0msu	194	47	→	→	PUNCT
cord-005350-19za0msu	194	48	0	0	PUNCT
cord-005350-19za0msu	194	49	theory	theory	NOUN
cord-005350-19za0msu	194	50	)	)	PUNCT
cord-005350-19za0msu	194	51	or	or	CCONJ
cord-005350-19za0msu	194	52	(	(	PUNCT
cord-005350-19za0msu	194	53	b	b	NOUN
cord-005350-19za0msu	194	54	)	)	PUNCT
cord-005350-19za0msu	194	55	assuming	assume	VERB
cord-005350-19za0msu	194	56	it	it	PRON
cord-005350-19za0msu	194	57	is	be	AUX
cord-005350-19za0msu	194	58	given	give	VERB
cord-005350-19za0msu	194	59	by	by	ADP
cord-005350-19za0msu	194	60	the	the	DET
cord-005350-19za0msu	194	61	current	current	ADJ
cord-005350-19za0msu	194	62	state	state	NOUN
cord-005350-19za0msu	194	63	of	of	ADP
cord-005350-19za0msu	194	64	the	the	DET
cord-005350-19za0msu	194	65	fast	fast	ADV
cord-005350-19za0msu	194	66	-	-	PUNCT
cord-005350-19za0msu	194	67	slow	slow	ADJ
cord-005350-19za0msu	194	68	system	system	NOUN
cord-005350-19za0msu	194	69	approaching	approach	VERB
cord-005350-19za0msu	194	70	a	a	DET
cord-005350-19za0msu	194	71	transition	transition	NOUN
cord-005350-19za0msu	194	72	.	.	PUNCT
cord-005350-19za0msu	195	1	we	we	PRON
cord-005350-19za0msu	195	2	selected	select	VERB
cord-005350-19za0msu	195	3	parameters	parameter	NOUN
cord-005350-19za0msu	195	4	consistent	consistent	ADJ
cord-005350-19za0msu	195	5	with	with	ADP
cord-005350-19za0msu	195	6	sexually	sexually	ADV
cord-005350-19za0msu	195	7	transmitted	transmit	VERB
cord-005350-19za0msu	195	8	table	table	NOUN
cord-005350-19za0msu	195	9	6	6	NUM
cord-005350-19za0msu	195	10	transition	transition	NOUN
cord-005350-19za0msu	195	11	probability	probability	NOUN
cord-005350-19za0msu	195	12	fluxes	flux	NOUN
cord-005350-19za0msu	195	13	for	for	ADP
cord-005350-19za0msu	195	14	sir	sir	PROPN
cord-005350-19za0msu	195	15	model	model	PROPN
cord-005350-19za0msu	195	16	.	.	PUNCT
cord-005350-19za0msu	196	1	transitions	transition	NOUN
cord-005350-19za0msu	196	2	can	can	AUX
cord-005350-19za0msu	196	3	occur	occur	VERB
cord-005350-19za0msu	196	4	into	into	ADP
cord-005350-19za0msu	196	5	and	and	CCONJ
cord-005350-19za0msu	196	6	out	out	ADP
cord-005350-19za0msu	196	7	of	of	ADP
cord-005350-19za0msu	196	8	state	state	NOUN
cord-005350-19za0msu	196	9	α	α	PROPN
cord-005350-19za0msu	196	10	=	=	PROPN
cord-005350-19za0msu	196	11	(	(	PUNCT
cord-005350-19za0msu	196	12	s	s	PROPN
cord-005350-19za0msu	196	13	,	,	PUNCT
cord-005350-19za0msu	196	14	i	i	NOUN
cord-005350-19za0msu	196	15	)	)	PUNCT
cord-005350-19za0msu	196	16	change	change	NOUN
cord-005350-19za0msu	196	17	in	in	ADP
cord-005350-19za0msu	196	18	state	state	NOUN
cord-005350-19za0msu	196	19	transition	transition	NOUN
cord-005350-19za0msu	196	20	probability	probability	NOUN
cord-005350-19za0msu	196	21	per	per	ADP
cord-005350-19za0msu	196	22	unit	unit	NOUN
cord-005350-19za0msu	196	23	time	time	NOUN
cord-005350-19za0msu	196	24	dt	dt	PROPN
cord-005350-19za0msu	196	25	note	note	VERB
cord-005350-19za0msu	196	26	that	that	SCONJ
cord-005350-19za0msu	196	27	p	p	PROPN
cord-005350-19za0msu	196	28	is	be	AUX
cord-005350-19za0msu	196	29	treated	treat	VERB
cord-005350-19za0msu	196	30	as	as	ADV
cord-005350-19za0msu	196	31	constant	constant	ADJ
cord-005350-19za0msu	196	32	in	in	ADP
cord-005350-19za0msu	196	33	a	a	DET
cord-005350-19za0msu	196	34	small	small	ADJ
cord-005350-19za0msu	196	35	time	time	NOUN
cord-005350-19za0msu	196	36	increment	increment	NOUN
cord-005350-19za0msu	196	37	dt	dt	PROPN
cord-005350-19za0msu	196	38	,	,	PUNCT
cord-005350-19za0msu	196	39	but	but	CCONJ
cord-005350-19za0msu	196	40	the	the	DET
cord-005350-19za0msu	196	41	vaccination	vaccination	NOUN
cord-005350-19za0msu	196	42	uptake	uptake	NOUN
cord-005350-19za0msu	196	43	is	be	AUX
cord-005350-19za0msu	196	44	a	a	DET
cord-005350-19za0msu	196	45	slowly	slowly	ADV
cord-005350-19za0msu	196	46	changing	change	VERB
cord-005350-19za0msu	196	47	linear	linear	ADJ
cord-005350-19za0msu	196	48	function	function	NOUN
cord-005350-19za0msu	196	49	of	of	ADP
cord-005350-19za0msu	196	50	time	time	NOUN
cord-005350-19za0msu	196	51	,	,	PUNCT
cord-005350-19za0msu	196	52	p	p	PROPN
cord-005350-19za0msu	196	53	=	=	X
cord-005350-19za0msu	196	54	p(t	p(t	NOUN
cord-005350-19za0msu	196	55	)	)	PUNCT
cord-005350-19za0msu	197	1	=	=	NOUN
cord-005350-19za0msu	197	2	p	p	PROPN
cord-005350-19za0msu	197	3	s	s	PROPN
cord-005350-19za0msu	197	4	+	+	X
cord-005350-19za0msu	198	1	p	p	NOUN
cord-005350-19za0msu	198	2	0	0	NUM
cord-005350-19za0msu	198	3	t	t	NOUN
cord-005350-19za0msu	198	4	at	at	ADP
cord-005350-19za0msu	198	5	time	time	NOUN
cord-005350-19za0msu	198	6	t.	t.	PROPN
cord-005350-19za0msu	198	7	table	table	PROPN
cord-005350-19za0msu	198	8	5	5	NUM
cord-005350-19za0msu	198	9	outlines	outline	VERB
cord-005350-19za0msu	198	10	the	the	DET
cord-005350-19za0msu	198	11	parameters	parameter	NOUN
cord-005350-19za0msu	198	12	used	use	VERB
cord-005350-19za0msu	198	13	in	in	ADP
cord-005350-19za0msu	198	14	each	each	DET
cord-005350-19za0msu	198	15	transition	transition	NOUN
cord-005350-19za0msu	198	16	rate	rate	NOUN
cord-005350-19za0msu	198	17	sis	sis	NOUN
cord-005350-19za0msu	198	18	diseases	disease	NOUN
cord-005350-19za0msu	198	19	with	with	ADP
cord-005350-19za0msu	198	20	long	long	ADJ
cord-005350-19za0msu	198	21	infectious	infectious	ADJ
cord-005350-19za0msu	198	22	period	period	NOUN
cord-005350-19za0msu	198	23	and	and	CCONJ
cord-005350-19za0msu	198	24	large	large	ADJ
cord-005350-19za0msu	198	25	r	r	NOUN
cord-005350-19za0msu	198	26	0	0	NUM
cord-005350-19za0msu	198	27	and	and	CCONJ
cord-005350-19za0msu	198	28	parameters	parameter	NOUN
cord-005350-19za0msu	198	29	typical	typical	ADJ
cord-005350-19za0msu	198	30	for	for	ADP
cord-005350-19za0msu	198	31	childhood	childhood	NOUN
cord-005350-19za0msu	198	32	infectious	infectious	ADJ
cord-005350-19za0msu	198	33	diseases	disease	NOUN
cord-005350-19za0msu	198	34	with	with	ADP
cord-005350-19za0msu	198	35	sir	sir	PROPN
cord-005350-19za0msu	198	36	dynamics	dynamic	NOUN
cord-005350-19za0msu	198	37	.	.	PUNCT
cord-005350-19za0msu	199	1	to	to	PART
cord-005350-19za0msu	199	2	examine	examine	VERB
cord-005350-19za0msu	199	3	how	how	SCONJ
cord-005350-19za0msu	199	4	different	different	ADJ
cord-005350-19za0msu	199	5	changes	change	NOUN
cord-005350-19za0msu	199	6	in	in	ADP
cord-005350-19za0msu	199	7	vaccination	vaccination	NOUN
cord-005350-19za0msu	199	8	uptake	uptake	NOUN
cord-005350-19za0msu	199	9	p	p	NOUN
cord-005350-19za0msu	199	10	0	0	PUNCT
cord-005350-19za0msu	199	11	affect	affect	VERB
cord-005350-19za0msu	199	12	the	the	DET
cord-005350-19za0msu	199	13	statistics	statistic	NOUN
cord-005350-19za0msu	199	14	,	,	PUNCT
cord-005350-19za0msu	199	15	we	we	PRON
cord-005350-19za0msu	199	16	varied	vary	VERB
cord-005350-19za0msu	199	17	p	p	NOUN
cord-005350-19za0msu	199	18	0	0	NUM
cord-005350-19za0msu	199	19	by	by	ADP
cord-005350-19za0msu	199	20	1/500	1/500	NUM
cord-005350-19za0msu	199	21	sufficiently	sufficiently	ADV
cord-005350-19za0msu	199	22	large	large	ADJ
cord-005350-19za0msu	199	23	population	population	NOUN
cord-005350-19za0msu	199	24	sizes	size	NOUN
cord-005350-19za0msu	199	25	n	n	ADV
cord-005350-19za0msu	199	26	were	be	AUX
cord-005350-19za0msu	199	27	chosen	choose	VERB
cord-005350-19za0msu	199	28	to	to	PART
cord-005350-19za0msu	199	29	ensure	ensure	VERB
cord-005350-19za0msu	199	30	validity	validity	NOUN
cord-005350-19za0msu	199	31	of	of	ADP
cord-005350-19za0msu	199	32	the	the	DET
cord-005350-19za0msu	199	33	van	van	PROPN
cord-005350-19za0msu	199	34	kampen	kampen	PROPN
cord-005350-19za0msu	199	35	system	system	NOUN
cord-005350-19za0msu	199	36	size	size	NOUN
cord-005350-19za0msu	199	37	expansion	expansion	NOUN
cord-005350-19za0msu	199	38	.	.	PUNCT
cord-005350-19za0msu	200	1	the	the	DET
cord-005350-19za0msu	200	2	per	per	ADP
cord-005350-19za0msu	200	3	capita	capita	X
cord-005350-19za0msu	200	4	immigration	immigration	NOUN
cord-005350-19za0msu	200	5	rate	rate	NOUN
cord-005350-19za0msu	200	6	η	η	NOUN
cord-005350-19za0msu	200	7	on	on	ADP
cord-005350-19za0msu	200	8	the	the	DET
cord-005350-19za0msu	200	9	approach	approach	NOUN
cord-005350-19za0msu	200	10	to	to	ADP
cord-005350-19za0msu	200	11	elimination	elimination	NOUN
cord-005350-19za0msu	200	12	was	be	AUX
cord-005350-19za0msu	200	13	calculated	calculate	VERB
cord-005350-19za0msu	200	14	assuming	assume	VERB
cord-005350-19za0msu	200	15	η	η	X
cord-005350-19za0msu	200	16	=	=	SYM
cord-005350-19za0msu	200	17	δr	δr	X
cord-005350-19za0msu	200	18	0	0	PUNCT
cord-005350-19za0msu	200	19	/n	/n	X
cord-005350-19za0msu	200	20	,	,	PUNCT
cord-005350-19za0msu	200	21	where	where	SCONJ
cord-005350-19za0msu	200	22	δ	δ	PROPN
cord-005350-19za0msu	200	23	is	be	AUX
cord-005350-19za0msu	200	24	the	the	DET
cord-005350-19za0msu	200	25	number	number	NOUN
cord-005350-19za0msu	200	26	of	of	ADP
cord-005350-19za0msu	200	27	imports	import	NOUN
cord-005350-19za0msu	200	28	per	per	ADP
cord-005350-19za0msu	200	29	year	year	NOUN
cord-005350-19za0msu	200	30	(	(	PUNCT
cord-005350-19za0msu	200	31	keeling	keeling	NOUN
cord-005350-19za0msu	200	32	and	and	CCONJ
cord-005350-19za0msu	200	33	rohani	rohani	PROPN
cord-005350-19za0msu	200	34	2008	2008	NUM
cord-005350-19za0msu	200	35	)	)	PUNCT
cord-005350-19za0msu	200	36	.	.	PUNCT
cord-005350-19za0msu	201	1	on	on	ADP
cord-005350-19za0msu	201	2	the	the	DET
cord-005350-19za0msu	201	3	approach	approach	NOUN
cord-005350-19za0msu	201	4	to	to	ADP
cord-005350-19za0msu	201	5	emergence	emergence	NOUN
cord-005350-19za0msu	201	6	,	,	PUNCT
cord-005350-19za0msu	201	7	r	r	NOUN
cord-005350-19za0msu	201	8	0	0	NUM
cord-005350-19za0msu	201	9	is	be	AUX
cord-005350-19za0msu	201	10	approximately	approximately	ADV
cord-005350-19za0msu	201	11	one	one	NUM
cord-005350-19za0msu	201	12	,	,	PUNCT
cord-005350-19za0msu	201	13	and	and	CCONJ
cord-005350-19za0msu	201	14	the	the	DET
cord-005350-19za0msu	201	15	number	number	NOUN
cord-005350-19za0msu	201	16	of	of	ADP
cord-005350-19za0msu	201	17	infectious	infectious	ADJ
cord-005350-19za0msu	201	18	individuals	individual	NOUN
cord-005350-19za0msu	201	19	is	be	AUX
cord-005350-19za0msu	201	20	near	near	ADP
cord-005350-19za0msu	201	21	zero	zero	NUM
cord-005350-19za0msu	201	22	.	.	PUNCT
cord-005350-19za0msu	202	1	therefore	therefore	ADV
cord-005350-19za0msu	202	2	,	,	PUNCT
cord-005350-19za0msu	202	3	η	η	PROPN
cord-005350-19za0msu	202	4	=	=	SYM
cord-005350-19za0msu	202	5	δ	δ	NOUN
cord-005350-19za0msu	202	6	/	/	SYM
cord-005350-19za0msu	202	7	n	n	PRON
cord-005350-19za0msu	202	8	(	(	PUNCT
cord-005350-19za0msu	202	9	sis	sis	NOUN
cord-005350-19za0msu	202	10	model	model	NOUN
cord-005350-19za0msu	202	11	)	)	PUNCT
cord-005350-19za0msu	202	12	and	and	CCONJ
cord-005350-19za0msu	202	13	η	η	NOUN
cord-005350-19za0msu	202	14	=	=	NOUN
cord-005350-19za0msu	202	15	δ/(n(1	δ/(n(1	X
cord-005350-19za0msu	202	16	−	−	PROPN
cord-005350-19za0msu	202	17	p	p	PROPN
cord-005350-19za0msu	202	18	s	s	PROPN
cord-005350-19za0msu	202	19	)	)	PUNCT
cord-005350-19za0msu	202	20	)	)	PUNCT
cord-005350-19za0msu	203	1	(	(	PUNCT
cord-005350-19za0msu	203	2	sir	sir	PROPN
cord-005350-19za0msu	203	3	model	model	PROPN
cord-005350-19za0msu	203	4	)	)	PUNCT
cord-005350-19za0msu	203	5	.	.	PUNCT
cord-005350-19za0msu	204	1	all	all	DET
cord-005350-19za0msu	204	2	emergence	emergence	NOUN
cord-005350-19za0msu	204	3	simulations	simulation	NOUN
cord-005350-19za0msu	204	4	begin	begin	VERB
cord-005350-19za0msu	204	5	with	with	ADP
cord-005350-19za0msu	204	6	the	the	DET
cord-005350-19za0msu	204	7	forcing	force	VERB
cord-005350-19za0msu	204	8	variable	variable	NOUN
cord-005350-19za0msu	204	9	p	p	PROPN
cord-005350-19za0msu	204	10	s	s	PROPN
cord-005350-19za0msu	204	11	=	=	X
cord-005350-19za0msu	204	12	0.96	0.96	NUM
cord-005350-19za0msu	204	13	,	,	PUNCT
cord-005350-19za0msu	204	14	beyond	beyond	ADP
cord-005350-19za0msu	204	15	the	the	DET
cord-005350-19za0msu	204	16	threshold	threshold	NOUN
cord-005350-19za0msu	204	17	p	p	NOUN
cord-005350-19za0msu	204	18	*	*	PUNCT
cord-005350-19za0msu	204	19	for	for	ADP
cord-005350-19za0msu	204	20	emergence	emergence	NOUN
cord-005350-19za0msu	204	21	,	,	PUNCT
cord-005350-19za0msu	204	22	p	p	PROPN
cord-005350-19za0msu	204	23	*	*	PUNCT
cord-005350-19za0msu	204	24	=	=	NOUN
cord-005350-19za0msu	204	25	1	1	NUM
cord-005350-19za0msu	204	26	−	−	SYM
cord-005350-19za0msu	204	27	1	1	NUM
cord-005350-19za0msu	204	28	/	/	SYM
cord-005350-19za0msu	204	29	r	r	NOUN
cord-005350-19za0msu	204	30	0	0	NUM
cord-005350-19za0msu	204	31	.	.	PUNCT
cord-005350-19za0msu	205	1	the	the	DET
cord-005350-19za0msu	205	2	immigration	immigration	NOUN
cord-005350-19za0msu	205	3	rate	rate	NOUN
cord-005350-19za0msu	205	4	remains	remains	AUX
cord-005350-19za0msu	205	5	fixed	fix	VERB
cord-005350-19za0msu	205	6	during	during	ADP
cord-005350-19za0msu	205	7	simulations	simulation	NOUN
cord-005350-19za0msu	205	8	.	.	PUNCT
cord-005350-19za0msu	206	1	the	the	DET
cord-005350-19za0msu	206	2	initial	initial	ADJ
cord-005350-19za0msu	206	3	rate	rate	NOUN
cord-005350-19za0msu	206	4	of	of	ADP
cord-005350-19za0msu	206	5	transmission	transmission	NOUN
cord-005350-19za0msu	206	6	is	be	AUX
cord-005350-19za0msu	206	7	calculated	calculate	VERB
cord-005350-19za0msu	206	8	from	from	ADP
cord-005350-19za0msu	206	9	r	r	NOUN
cord-005350-19za0msu	206	10	0	0	NUM
cord-005350-19za0msu	206	11	and	and	CCONJ
cord-005350-19za0msu	206	12	1/30	1/30	NUM
cord-005350-19za0msu	206	13	year	year	NOUN
cord-005350-19za0msu	206	14	−1	−1	NOUN
cord-005350-19za0msu	206	15	in	in	ADP
cord-005350-19za0msu	206	16	the	the	DET
cord-005350-19za0msu	206	17	model	model	NOUN
cord-005350-19za0msu	206	18	with	with	ADP
cord-005350-19za0msu	206	19	immigration	immigration	NOUN
cord-005350-19za0msu	206	20	.	.	PUNCT
cord-005350-19za0msu	207	1	we	we	PRON
cord-005350-19za0msu	207	2	also	also	ADV
cord-005350-19za0msu	207	3	compared	compare	VERB
cord-005350-19za0msu	207	4	the	the	DET
cord-005350-19za0msu	207	5	elimination	elimination	NOUN
cord-005350-19za0msu	207	6	indicators	indicator	NOUN
cord-005350-19za0msu	207	7	with	with	ADP
cord-005350-19za0msu	207	8	those	those	PRON
cord-005350-19za0msu	207	9	calculated	calculate	VERB
cord-005350-19za0msu	207	10	assuming	assume	VERB
cord-005350-19za0msu	207	11	that	that	SCONJ
cord-005350-19za0msu	207	12	the	the	DET
cord-005350-19za0msu	207	13	mean	mean	ADJ
cord-005350-19za0msu	207	14	proportion	proportion	NOUN
cord-005350-19za0msu	207	15	of	of	ADP
cord-005350-19za0msu	207	16	infectious	infectious	ADJ
cord-005350-19za0msu	207	17	individuals	individual	NOUN
cord-005350-19za0msu	207	18	was	be	AUX
cord-005350-19za0msu	207	19	given	give	VERB
cord-005350-19za0msu	207	20	by	by	ADP
cord-005350-19za0msu	207	21	the	the	DET
cord-005350-19za0msu	207	22	deterministic	deterministic	ADJ
cord-005350-19za0msu	207	23	endemic	endemic	ADJ
cord-005350-19za0msu	207	24	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	207	25	from	from	ADP
cord-005350-19za0msu	207	26	the	the	DET
cord-005350-19za0msu	207	27	limiting	limit	VERB
cord-005350-19za0msu	207	28	case	case	NOUN
cord-005350-19za0msu	207	29	models	model	NOUN
cord-005350-19za0msu	207	30	with	with	ADP
cord-005350-19za0msu	207	31	no	no	DET
cord-005350-19za0msu	207	32	immigration	immigration	NOUN
cord-005350-19za0msu	207	33	.	.	PUNCT
cord-005350-19za0msu	208	1	the	the	DET
cord-005350-19za0msu	208	2	early	early	ADJ
cord-005350-19za0msu	208	3	warning	warning	NOUN
cord-005350-19za0msu	208	4	signals	signal	NOUN
cord-005350-19za0msu	208	5	of	of	ADP
cord-005350-19za0msu	208	6	emergence	emergence	NOUN
cord-005350-19za0msu	208	7	were	be	AUX
cord-005350-19za0msu	208	8	not	not	PART
cord-005350-19za0msu	208	9	calculated	calculate	VERB
cord-005350-19za0msu	208	10	for	for	ADP
cord-005350-19za0msu	208	11	the	the	DET
cord-005350-19za0msu	208	12	limiting	limiting	ADJ
cord-005350-19za0msu	208	13	case	case	NOUN
cord-005350-19za0msu	208	14	because	because	SCONJ
cord-005350-19za0msu	208	15	the	the	DET
cord-005350-19za0msu	208	16	disease	disease	NOUN
cord-005350-19za0msu	208	17	-	-	PUNCT
cord-005350-19za0msu	208	18	free	free	ADJ
cord-005350-19za0msu	208	19	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	208	20	is	be	AUX
cord-005350-19za0msu	208	21	stable	stable	ADJ
cord-005350-19za0msu	208	22	.	.	PUNCT
cord-005350-19za0msu	209	1	to	to	PART
cord-005350-19za0msu	209	2	test	test	VERB
cord-005350-19za0msu	209	3	the	the	DET
cord-005350-19za0msu	209	4	robustness	robustness	NOUN
cord-005350-19za0msu	209	5	of	of	ADP
cord-005350-19za0msu	209	6	this	this	DET
cord-005350-19za0msu	209	7	theory	theory	NOUN
cord-005350-19za0msu	209	8	to	to	ADP
cord-005350-19za0msu	209	9	the	the	DET
cord-005350-19za0msu	209	10	range	range	NOUN
cord-005350-19za0msu	209	11	of	of	ADP
cord-005350-19za0msu	209	12	approximations	approximation	NOUN
cord-005350-19za0msu	209	13	that	that	PRON
cord-005350-19za0msu	209	14	were	be	AUX
cord-005350-19za0msu	209	15	introduced	introduce	VERB
cord-005350-19za0msu	209	16	(	(	PUNCT
cord-005350-19za0msu	209	17	fast	fast	ADV
cord-005350-19za0msu	209	18	-	-	PUNCT
cord-005350-19za0msu	209	19	slow	slow	ADJ
cord-005350-19za0msu	209	20	approximation	approximation	NOUN
cord-005350-19za0msu	209	21	,	,	PUNCT
cord-005350-19za0msu	209	22	continuum	continuum	PROPN
cord-005350-19za0msu	209	23	description	description	PROPN
cord-005350-19za0msu	209	24	,	,	PUNCT
cord-005350-19za0msu	209	25	van	van	PROPN
cord-005350-19za0msu	209	26	kampen	kampen	PROPN
cord-005350-19za0msu	209	27	expansion	expansion	NOUN
cord-005350-19za0msu	209	28	)	)	PUNCT
cord-005350-19za0msu	209	29	,	,	PUNCT
cord-005350-19za0msu	209	30	we	we	PRON
cord-005350-19za0msu	209	31	simulated	simulate	VERB
cord-005350-19za0msu	209	32	the	the	DET
cord-005350-19za0msu	209	33	approach	approach	NOUN
cord-005350-19za0msu	209	34	to	to	ADP
cord-005350-19za0msu	209	35	elimination	elimination	NOUN
cord-005350-19za0msu	209	36	and	and	CCONJ
cord-005350-19za0msu	209	37	emergence	emergence	NOUN
cord-005350-19za0msu	209	38	in	in	ADP
cord-005350-19za0msu	209	39	a	a	DET
cord-005350-19za0msu	209	40	variety	variety	NOUN
cord-005350-19za0msu	209	41	of	of	ADP
cord-005350-19za0msu	209	42	cases	case	NOUN
cord-005350-19za0msu	209	43	.	.	PUNCT
cord-005350-19za0msu	210	1	to	to	PART
cord-005350-19za0msu	210	2	simulate	simulate	VERB
cord-005350-19za0msu	210	3	the	the	DET
cord-005350-19za0msu	210	4	approach	approach	NOUN
cord-005350-19za0msu	210	5	to	to	ADP
cord-005350-19za0msu	210	6	elimination	elimination	NOUN
cord-005350-19za0msu	210	7	,	,	PUNCT
cord-005350-19za0msu	210	8	we	we	PRON
cord-005350-19za0msu	210	9	followed	follow	VERB
cord-005350-19za0msu	210	10	the	the	DET
cord-005350-19za0msu	210	11	"	"	PUNCT
cord-005350-19za0msu	210	12	bottom	bottom	ADJ
cord-005350-19za0msu	210	13	-	-	PUNCT
cord-005350-19za0msu	210	14	up	up	ADP
cord-005350-19za0msu	210	15	"	"	PUNCT
cord-005350-19za0msu	210	16	approach	approach	NOUN
cord-005350-19za0msu	210	17	of	of	ADP
cord-005350-19za0msu	210	18	allen	allen	PROPN
cord-005350-19za0msu	210	19	(	(	PUNCT
cord-005350-19za0msu	210	20	2003	2003	NUM
cord-005350-19za0msu	210	21	)	)	PUNCT
cord-005350-19za0msu	210	22	to	to	PART
cord-005350-19za0msu	210	23	derive	derive	VERB
cord-005350-19za0msu	210	24	stochastic	stochastic	ADJ
cord-005350-19za0msu	210	25	differential	differential	ADJ
cord-005350-19za0msu	210	26	equations	equation	NOUN
cord-005350-19za0msu	210	27	that	that	PRON
cord-005350-19za0msu	210	28	incorporated	incorporate	VERB
cord-005350-19za0msu	210	29	demographic	demographic	ADJ
cord-005350-19za0msu	210	30	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	210	31	.	.	PUNCT
cord-005350-19za0msu	211	1	this	this	DET
cord-005350-19za0msu	211	2	approach	approach	NOUN
cord-005350-19za0msu	211	3	uses	use	VERB
cord-005350-19za0msu	211	4	the	the	DET
cord-005350-19za0msu	211	5	rates	rate	NOUN
cord-005350-19za0msu	211	6	in	in	ADP
cord-005350-19za0msu	211	7	tables	table	NOUN
cord-005350-19za0msu	211	8	2	2	NUM
cord-005350-19za0msu	211	9	and	and	CCONJ
cord-005350-19za0msu	211	10	6	6	NUM
cord-005350-19za0msu	211	11	to	to	PART
cord-005350-19za0msu	211	12	build	build	VERB
cord-005350-19za0msu	211	13	a	a	DET
cord-005350-19za0msu	211	14	system	system	NOUN
cord-005350-19za0msu	211	15	of	of	ADP
cord-005350-19za0msu	211	16	stochastic	stochastic	ADJ
cord-005350-19za0msu	211	17	differential	differential	ADJ
cord-005350-19za0msu	211	18	equations	equation	NOUN
cord-005350-19za0msu	211	19	.	.	PUNCT
cord-005350-19za0msu	212	1	stochastic	stochastic	ADJ
cord-005350-19za0msu	212	2	differential	differential	ADJ
cord-005350-19za0msu	212	3	equations	equation	NOUN
cord-005350-19za0msu	212	4	formulated	formulate	VERB
cord-005350-19za0msu	212	5	in	in	ADP
cord-005350-19za0msu	212	6	this	this	DET
cord-005350-19za0msu	212	7	way	way	NOUN
cord-005350-19za0msu	212	8	are	be	AUX
cord-005350-19za0msu	212	9	appropriate	appropriate	ADJ
cord-005350-19za0msu	212	10	,	,	PUNCT
cord-005350-19za0msu	212	11	provided	provide	VERB
cord-005350-19za0msu	212	12	that	that	SCONJ
cord-005350-19za0msu	212	13	the	the	DET
cord-005350-19za0msu	212	14	population	population	NOUN
cord-005350-19za0msu	212	15	size	size	NOUN
cord-005350-19za0msu	212	16	is	be	AUX
cord-005350-19za0msu	212	17	sufficiently	sufficiently	ADV
cord-005350-19za0msu	212	18	large	large	ADJ
cord-005350-19za0msu	212	19	,	,	PUNCT
cord-005350-19za0msu	212	20	because	because	SCONJ
cord-005350-19za0msu	212	21	then	then	ADV
cord-005350-19za0msu	212	22	changes	change	VERB
cord-005350-19za0msu	212	23	in	in	ADP
cord-005350-19za0msu	212	24	the	the	DET
cord-005350-19za0msu	212	25	state	state	NOUN
cord-005350-19za0msu	212	26	variables	variable	NOUN
cord-005350-19za0msu	212	27	are	be	AUX
cord-005350-19za0msu	212	28	assumed	assume	VERB
cord-005350-19za0msu	212	29	to	to	PART
cord-005350-19za0msu	212	30	be	be	AUX
cord-005350-19za0msu	212	31	normally	normally	ADV
cord-005350-19za0msu	212	32	distributed	distribute	VERB
cord-005350-19za0msu	212	33	.	.	PUNCT
cord-005350-19za0msu	213	1	simulations	simulation	NOUN
cord-005350-19za0msu	213	2	were	be	AUX
cord-005350-19za0msu	213	3	compared	compare	VERB
cord-005350-19za0msu	213	4	with	with	ADP
cord-005350-19za0msu	213	5	output	output	NOUN
cord-005350-19za0msu	213	6	from	from	ADP
cord-005350-19za0msu	213	7	gillespie	gillespie	PROPN
cord-005350-19za0msu	213	8	's	's	PART
cord-005350-19za0msu	213	9	direct	direct	ADJ
cord-005350-19za0msu	213	10	method	method	NOUN
cord-005350-19za0msu	213	11	(	(	PUNCT
cord-005350-19za0msu	213	12	gillespie	gillespie	PROPN
cord-005350-19za0msu	213	13	1977	1977	NUM
cord-005350-19za0msu	213	14	)	)	PUNCT
cord-005350-19za0msu	213	15	.	.	PUNCT
cord-005350-19za0msu	214	1	the	the	DET
cord-005350-19za0msu	214	2	simulations	simulation	NOUN
cord-005350-19za0msu	214	3	were	be	AUX
cord-005350-19za0msu	214	4	qualitatively	qualitatively	ADV
cord-005350-19za0msu	214	5	similar	similar	ADJ
cord-005350-19za0msu	214	6	for	for	SCONJ
cord-005350-19za0msu	214	7	population	population	NOUN
cord-005350-19za0msu	214	8	sizes	size	VERB
cord-005350-19za0msu	214	9	greater	great	ADJ
cord-005350-19za0msu	214	10	than	than	ADP
cord-005350-19za0msu	214	11	50,000	50,000	NUM
cord-005350-19za0msu	214	12	.	.	PUNCT
cord-005350-19za0msu	215	1	to	to	PART
cord-005350-19za0msu	215	2	simulate	simulate	VERB
cord-005350-19za0msu	215	3	the	the	DET
cord-005350-19za0msu	215	4	approach	approach	NOUN
cord-005350-19za0msu	215	5	to	to	ADP
cord-005350-19za0msu	215	6	emergence	emergence	NOUN
cord-005350-19za0msu	215	7	,	,	PUNCT
cord-005350-19za0msu	215	8	we	we	PRON
cord-005350-19za0msu	215	9	used	use	VERB
cord-005350-19za0msu	215	10	gillespie	gillespie	PROPN
cord-005350-19za0msu	215	11	's	's	PART
cord-005350-19za0msu	215	12	direct	direct	ADJ
cord-005350-19za0msu	215	13	method	method	NOUN
cord-005350-19za0msu	215	14	as	as	SCONJ
cord-005350-19za0msu	215	15	this	this	PRON
cord-005350-19za0msu	215	16	is	be	AUX
cord-005350-19za0msu	215	17	most	most	ADV
cord-005350-19za0msu	215	18	appropriate	appropriate	ADJ
cord-005350-19za0msu	215	19	for	for	ADP
cord-005350-19za0msu	215	20	small	small	ADJ
cord-005350-19za0msu	215	21	population	population	NOUN
cord-005350-19za0msu	215	22	sizes	size	NOUN
cord-005350-19za0msu	215	23	.	.	PUNCT
cord-005350-19za0msu	216	1	we	we	PRON
cord-005350-19za0msu	216	2	simulated	simulate	VERB
cord-005350-19za0msu	216	3	the	the	DET
cord-005350-19za0msu	216	4	sis	sis	NOUN
cord-005350-19za0msu	216	5	and	and	CCONJ
cord-005350-19za0msu	216	6	sir	sir	NOUN
cord-005350-19za0msu	216	7	stochastic	stochastic	NOUN
cord-005350-19za0msu	216	8	models	model	NOUN
cord-005350-19za0msu	216	9	with	with	ADP
cord-005350-19za0msu	216	10	immigration	immigration	NOUN
cord-005350-19za0msu	216	11	approaching	approach	VERB
cord-005350-19za0msu	216	12	elimination	elimination	NOUN
cord-005350-19za0msu	216	13	and	and	CCONJ
cord-005350-19za0msu	216	14	emergence	emergence	NOUN
cord-005350-19za0msu	216	15	500	500	NUM
cord-005350-19za0msu	216	16	times	time	NOUN
cord-005350-19za0msu	216	17	.	.	PUNCT
cord-005350-19za0msu	217	1	to	to	PART
cord-005350-19za0msu	217	2	compare	compare	VERB
cord-005350-19za0msu	217	3	the	the	DET
cord-005350-19za0msu	217	4	statistics	statistic	NOUN
cord-005350-19za0msu	217	5	to	to	ADP
cord-005350-19za0msu	217	6	the	the	DET
cord-005350-19za0msu	217	7	theoretical	theoretical	ADJ
cord-005350-19za0msu	217	8	predictions	prediction	NOUN
cord-005350-19za0msu	217	9	in	in	ADP
cord-005350-19za0msu	217	10	table	table	NOUN
cord-005350-19za0msu	217	11	4	4	NUM
cord-005350-19za0msu	217	12	,	,	PUNCT
cord-005350-19za0msu	217	13	the	the	DET
cord-005350-19za0msu	217	14	infectious	infectious	ADJ
cord-005350-19za0msu	217	15	time	time	NOUN
cord-005350-19za0msu	217	16	series	series	NOUN
cord-005350-19za0msu	217	17	approaching	approach	VERB
cord-005350-19za0msu	217	18	elimination	elimination	NOUN
cord-005350-19za0msu	217	19	were	be	AUX
cord-005350-19za0msu	217	20	sampled	sample	VERB
cord-005350-19za0msu	217	21	at	at	ADP
cord-005350-19za0msu	217	22	yearly	yearly	ADJ
cord-005350-19za0msu	217	23	intervals	interval	NOUN
cord-005350-19za0msu	217	24	.	.	PUNCT
cord-005350-19za0msu	218	1	the	the	DET
cord-005350-19za0msu	218	2	transcritical	transcritical	ADJ
cord-005350-19za0msu	218	3	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	218	4	in	in	ADP
cord-005350-19za0msu	218	5	these	these	DET
cord-005350-19za0msu	218	6	scenarios	scenario	NOUN
cord-005350-19za0msu	218	7	was	be	AUX
cord-005350-19za0msu	218	8	approached	approach	VERB
cord-005350-19za0msu	218	9	over	over	ADP
cord-005350-19za0msu	218	10	a	a	DET
cord-005350-19za0msu	218	11	long	long	ADJ
cord-005350-19za0msu	218	12	time	time	NOUN
cord-005350-19za0msu	218	13	frame	frame	NOUN
cord-005350-19za0msu	218	14	(	(	PUNCT
cord-005350-19za0msu	218	15	e.g.	e.g.	ADV
cord-005350-19za0msu	218	16	,	,	PUNCT
cord-005350-19za0msu	218	17	470	470	NUM
cord-005350-19za0msu	218	18	years	year	NOUN
cord-005350-19za0msu	218	19	when	when	SCONJ
cord-005350-19za0msu	218	20	p	p	PROPN
cord-005350-19za0msu	218	21	0	0	NUM
cord-005350-19za0msu	218	22	=	=	NOUN
cord-005350-19za0msu	218	23	1/500	1/500	NOUN
cord-005350-19za0msu	218	24	in	in	ADP
cord-005350-19za0msu	218	25	the	the	DET
cord-005350-19za0msu	218	26	sir	sir	PROPN
cord-005350-19za0msu	218	27	model	model	NOUN
cord-005350-19za0msu	218	28	)	)	PUNCT
cord-005350-19za0msu	218	29	.	.	PUNCT
cord-005350-19za0msu	219	1	however	however	ADV
cord-005350-19za0msu	219	2	,	,	PUNCT
cord-005350-19za0msu	219	3	the	the	DET
cord-005350-19za0msu	219	4	transcritical	transcritical	ADJ
cord-005350-19za0msu	219	5	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	219	6	to	to	ADP
cord-005350-19za0msu	219	7	emergence	emergence	NOUN
cord-005350-19za0msu	219	8	was	be	AUX
cord-005350-19za0msu	219	9	approached	approach	VERB
cord-005350-19za0msu	219	10	over	over	ADP
cord-005350-19za0msu	219	11	a	a	DET
cord-005350-19za0msu	219	12	relatively	relatively	ADV
cord-005350-19za0msu	219	13	short	short	ADJ
cord-005350-19za0msu	219	14	time	time	NOUN
cord-005350-19za0msu	219	15	frame	frame	NOUN
cord-005350-19za0msu	219	16	for	for	ADP
cord-005350-19za0msu	219	17	the	the	DET
cord-005350-19za0msu	219	18	sir	sir	PROPN
cord-005350-19za0msu	219	19	model	model	NOUN
cord-005350-19za0msu	219	20	(	(	PUNCT
cord-005350-19za0msu	219	21	10	10	NUM
cord-005350-19za0msu	219	22	years	year	NOUN
cord-005350-19za0msu	219	23	)	)	PUNCT
cord-005350-19za0msu	219	24	.	.	PUNCT
cord-005350-19za0msu	220	1	to	to	PART
cord-005350-19za0msu	220	2	obtain	obtain	VERB
cord-005350-19za0msu	220	3	a	a	DET
cord-005350-19za0msu	220	4	better	well	ADV
cord-005350-19za0msu	220	5	sampled	sampled	ADJ
cord-005350-19za0msu	220	6	time	time	NOUN
cord-005350-19za0msu	220	7	series	series	NOUN
cord-005350-19za0msu	220	8	,	,	PUNCT
cord-005350-19za0msu	220	9	the	the	DET
cord-005350-19za0msu	220	10	data	datum	NOUN
cord-005350-19za0msu	220	11	from	from	ADP
cord-005350-19za0msu	220	12	the	the	DET
cord-005350-19za0msu	220	13	gillespie	gillespie	NOUN
cord-005350-19za0msu	220	14	simulations	simulation	NOUN
cord-005350-19za0msu	220	15	were	be	AUX
cord-005350-19za0msu	220	16	aggregated	aggregate	VERB
cord-005350-19za0msu	220	17	over	over	ADP
cord-005350-19za0msu	220	18	monthly	monthly	ADJ
cord-005350-19za0msu	220	19	intervals	interval	NOUN
cord-005350-19za0msu	220	20	for	for	ADP
cord-005350-19za0msu	220	21	the	the	DET
cord-005350-19za0msu	220	22	sir	sir	PROPN
cord-005350-19za0msu	220	23	model	model	NOUN
cord-005350-19za0msu	220	24	.	.	PUNCT
cord-005350-19za0msu	221	1	the	the	DET
cord-005350-19za0msu	221	2	infectious	infectious	ADJ
cord-005350-19za0msu	221	3	time	time	NOUN
cord-005350-19za0msu	221	4	series	series	NOUN
cord-005350-19za0msu	221	5	were	be	AUX
cord-005350-19za0msu	221	6	aggregated	aggregate	VERB
cord-005350-19za0msu	221	7	over	over	ADP
cord-005350-19za0msu	221	8	yearly	yearly	ADJ
cord-005350-19za0msu	221	9	intervals	interval	NOUN
cord-005350-19za0msu	221	10	for	for	ADP
cord-005350-19za0msu	221	11	the	the	DET
cord-005350-19za0msu	221	12	sis	sis	PROPN
cord-005350-19za0msu	221	13	model	model	NOUN
cord-005350-19za0msu	221	14	approaching	approach	VERB
cord-005350-19za0msu	221	15	emergence	emergence	NOUN
cord-005350-19za0msu	221	16	because	because	SCONJ
cord-005350-19za0msu	221	17	events	event	NOUN
cord-005350-19za0msu	221	18	did	do	AUX
cord-005350-19za0msu	221	19	not	not	PART
cord-005350-19za0msu	221	20	always	always	ADV
cord-005350-19za0msu	221	21	occur	occur	VERB
cord-005350-19za0msu	221	22	at	at	ADP
cord-005350-19za0msu	221	23	a	a	DET
cord-005350-19za0msu	221	24	monthly	monthly	ADJ
cord-005350-19za0msu	221	25	frequency	frequency	NOUN
cord-005350-19za0msu	221	26	.	.	PUNCT
cord-005350-19za0msu	222	1	thus	thus	ADV
cord-005350-19za0msu	222	2	,	,	PUNCT
cord-005350-19za0msu	222	3	time	time	NOUN
cord-005350-19za0msu	222	4	series	series	NOUN
cord-005350-19za0msu	222	5	obtained	obtain	VERB
cord-005350-19za0msu	222	6	from	from	ADP
cord-005350-19za0msu	222	7	the	the	DET
cord-005350-19za0msu	222	8	sis	sis	NOUN
cord-005350-19za0msu	222	9	system	system	NOUN
cord-005350-19za0msu	222	10	approaching	approach	VERB
cord-005350-19za0msu	222	11	emergence	emergence	NOUN
cord-005350-19za0msu	222	12	allowed	allow	VERB
cord-005350-19za0msu	222	13	us	we	PRON
cord-005350-19za0msu	222	14	to	to	PART
cord-005350-19za0msu	222	15	examine	examine	VERB
cord-005350-19za0msu	222	16	the	the	DET
cord-005350-19za0msu	222	17	issues	issue	NOUN
cord-005350-19za0msu	222	18	that	that	PRON
cord-005350-19za0msu	222	19	arise	arise	VERB
cord-005350-19za0msu	222	20	from	from	ADP
cord-005350-19za0msu	222	21	poorly	poorly	ADV
cord-005350-19za0msu	222	22	sampled	sampled	ADJ
cord-005350-19za0msu	222	23	time	time	NOUN
cord-005350-19za0msu	222	24	series	series	NOUN
cord-005350-19za0msu	222	25	.	.	PUNCT
cord-005350-19za0msu	223	1	to	to	PART
cord-005350-19za0msu	223	2	investigate	investigate	VERB
cord-005350-19za0msu	223	3	the	the	DET
cord-005350-19za0msu	223	4	robustness	robustness	NOUN
cord-005350-19za0msu	223	5	of	of	ADP
cord-005350-19za0msu	223	6	the	the	DET
cord-005350-19za0msu	223	7	early	early	ADJ
cord-005350-19za0msu	223	8	warning	warning	NOUN
cord-005350-19za0msu	223	9	predictions	prediction	NOUN
cord-005350-19za0msu	223	10	over	over	ADP
cord-005350-19za0msu	223	11	a	a	DET
cord-005350-19za0msu	223	12	moving	move	VERB
cord-005350-19za0msu	223	13	window	window	NOUN
cord-005350-19za0msu	223	14	,	,	PUNCT
cord-005350-19za0msu	223	15	i.e.	i.e.	X
cord-005350-19za0msu	223	16	,	,	PUNCT
cord-005350-19za0msu	223	17	as	as	SCONJ
cord-005350-19za0msu	223	18	they	they	PRON
cord-005350-19za0msu	223	19	would	would	AUX
cord-005350-19za0msu	223	20	be	be	AUX
cord-005350-19za0msu	223	21	used	use	VERB
cord-005350-19za0msu	223	22	in	in	ADP
cord-005350-19za0msu	223	23	online	online	ADJ
cord-005350-19za0msu	223	24	analysis	analysis	NOUN
cord-005350-19za0msu	223	25	of	of	ADP
cord-005350-19za0msu	223	26	surveillance	surveillance	NOUN
cord-005350-19za0msu	223	27	data	datum	NOUN
cord-005350-19za0msu	223	28	,	,	PUNCT
cord-005350-19za0msu	223	29	the	the	DET
cord-005350-19za0msu	223	30	influence	influence	NOUN
cord-005350-19za0msu	223	31	of	of	ADP
cord-005350-19za0msu	223	32	the	the	DET
cord-005350-19za0msu	223	33	slowly	slowly	ADV
cord-005350-19za0msu	223	34	varying	vary	VERB
cord-005350-19za0msu	223	35	trend	trend	NOUN
cord-005350-19za0msu	223	36	must	must	AUX
cord-005350-19za0msu	223	37	be	be	AUX
cord-005350-19za0msu	223	38	removed	remove	VERB
cord-005350-19za0msu	223	39	.	.	PUNCT
cord-005350-19za0msu	224	1	the	the	DET
cord-005350-19za0msu	224	2	van	van	PROPN
cord-005350-19za0msu	224	3	kampen	kampen	PROPN
cord-005350-19za0msu	224	4	approach	approach	NOUN
cord-005350-19za0msu	224	5	(	(	PUNCT
cord-005350-19za0msu	224	6	appendices	appendice	VERB
cord-005350-19za0msu	224	7	a	a	PRON
cord-005350-19za0msu	224	8	and	and	CCONJ
cord-005350-19za0msu	224	9	b	b	NOUN
cord-005350-19za0msu	224	10	)	)	PUNCT
cord-005350-19za0msu	224	11	leads	lead	VERB
cord-005350-19za0msu	224	12	to	to	ADP
cord-005350-19za0msu	224	13	a	a	DET
cord-005350-19za0msu	224	14	natural	natural	ADJ
cord-005350-19za0msu	224	15	expression	expression	NOUN
cord-005350-19za0msu	224	16	for	for	ADP
cord-005350-19za0msu	224	17	the	the	DET
cord-005350-19za0msu	224	18	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	224	19	from	from	ADP
cord-005350-19za0msu	224	20	the	the	DET
cord-005350-19za0msu	224	21	quasi	quasi	ADJ
cord-005350-19za0msu	224	22	-	-	ADJ
cord-005350-19za0msu	224	23	stationary	stationary	ADJ
cord-005350-19za0msu	224	24	state	state	NOUN
cord-005350-19za0msu	224	25	nϕ(t	nϕ(t	NOUN
cord-005350-19za0msu	224	26	)	)	PUNCT
cord-005350-19za0msu	224	27	,	,	PUNCT
cord-005350-19za0msu	224	28	where	where	SCONJ
cord-005350-19za0msu	224	29	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	224	30	)	)	PUNCT
cord-005350-19za0msu	224	31	is	be	AUX
cord-005350-19za0msu	224	32	determined	determine	VERB
cord-005350-19za0msu	224	33	by	by	ADP
cord-005350-19za0msu	224	34	the	the	DET
cord-005350-19za0msu	224	35	mean	mean	ADJ
cord-005350-19za0msu	224	36	field	field	NOUN
cord-005350-19za0msu	224	37	equations	equation	NOUN
cord-005350-19za0msu	224	38	(	(	PUNCT
cord-005350-19za0msu	224	39	11	11	NUM
cord-005350-19za0msu	224	40	)	)	PUNCT
cord-005350-19za0msu	224	41	(	(	PUNCT
cord-005350-19za0msu	224	42	sis	sis	NOUN
cord-005350-19za0msu	224	43	)	)	PUNCT
cord-005350-19za0msu	224	44	and	and	CCONJ
cord-005350-19za0msu	224	45	(	(	PUNCT
cord-005350-19za0msu	224	46	22	22	NUM
cord-005350-19za0msu	224	47	)	)	PUNCT
cord-005350-19za0msu	224	48	(	(	PUNCT
cord-005350-19za0msu	224	49	sir	sir	NOUN
cord-005350-19za0msu	224	50	)	)	PUNCT
cord-005350-19za0msu	224	51	in	in	ADP
cord-005350-19za0msu	224	52	appendices	appendix	NOUN
cord-005350-19za0msu	224	53	a	a	PRON
cord-005350-19za0msu	224	54	and	and	CCONJ
cord-005350-19za0msu	224	55	b	b	NOUN
cord-005350-19za0msu	224	56	respectively	respectively	ADV
cord-005350-19za0msu	224	57	.	.	PUNCT
cord-005350-19za0msu	225	1	to	to	PART
cord-005350-19za0msu	225	2	obtain	obtain	VERB
cord-005350-19za0msu	225	3	the	the	DET
cord-005350-19za0msu	225	4	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	225	5	,	,	PUNCT
cord-005350-19za0msu	225	6	we	we	PRON
cord-005350-19za0msu	225	7	subtracted	subtract	VERB
cord-005350-19za0msu	225	8	the	the	DET
cord-005350-19za0msu	225	9	current	current	ADJ
cord-005350-19za0msu	225	10	mean	mean	NOUN
cord-005350-19za0msu	225	11	,	,	PUNCT
cord-005350-19za0msu	225	12	which	which	PRON
cord-005350-19za0msu	225	13	we	we	PRON
cord-005350-19za0msu	225	14	assumed	assume	VERB
cord-005350-19za0msu	225	15	to	to	PART
cord-005350-19za0msu	225	16	be	be	AUX
cord-005350-19za0msu	225	17	determined	determine	VERB
cord-005350-19za0msu	225	18	by	by	ADP
cord-005350-19za0msu	225	19	the	the	DET
cord-005350-19za0msu	225	20	current	current	ADJ
cord-005350-19za0msu	225	21	state	state	NOUN
cord-005350-19za0msu	225	22	of	of	ADP
cord-005350-19za0msu	225	23	the	the	DET
cord-005350-19za0msu	225	24	fast	fast	ADV
cord-005350-19za0msu	225	25	-	-	PUNCT
cord-005350-19za0msu	225	26	slow	slow	ADJ
cord-005350-19za0msu	225	27	system	system	NOUN
cord-005350-19za0msu	225	28	nϕ(t	nϕ(t	NOUN
cord-005350-19za0msu	225	29	)	)	PUNCT
cord-005350-19za0msu	225	30	,	,	PUNCT
cord-005350-19za0msu	225	31	from	from	ADP
cord-005350-19za0msu	225	32	the	the	DET
cord-005350-19za0msu	225	33	state	state	NOUN
cord-005350-19za0msu	225	34	of	of	ADP
cord-005350-19za0msu	225	35	the	the	DET
cord-005350-19za0msu	225	36	system	system	NOUN
cord-005350-19za0msu	225	37	at	at	ADP
cord-005350-19za0msu	225	38	the	the	DET
cord-005350-19za0msu	225	39	start	start	NOUN
cord-005350-19za0msu	225	40	of	of	ADP
cord-005350-19za0msu	225	41	each	each	DET
cord-005350-19za0msu	225	42	year	year	NOUN
cord-005350-19za0msu	225	43	and	and	CCONJ
cord-005350-19za0msu	225	44	divided	divide	VERB
cord-005350-19za0msu	225	45	this	this	DET
cord-005350-19za0msu	225	46	quantity	quantity	NOUN
cord-005350-19za0msu	225	47	by	by	ADP
cord-005350-19za0msu	225	48	the	the	DET
cord-005350-19za0msu	225	49	square	square	ADJ
cord-005350-19za0msu	225	50	root	root	NOUN
cord-005350-19za0msu	225	51	of	of	ADP
cord-005350-19za0msu	225	52	the	the	DET
cord-005350-19za0msu	225	53	population	population	NOUN
cord-005350-19za0msu	225	54	size	size	NOUN
cord-005350-19za0msu	225	55	.	.	PUNCT
cord-005350-19za0msu	226	1	we	we	PRON
cord-005350-19za0msu	226	2	refer	refer	VERB
cord-005350-19za0msu	226	3	to	to	ADP
cord-005350-19za0msu	226	4	this	this	PRON
cord-005350-19za0msu	226	5	as	as	SCONJ
cord-005350-19za0msu	226	6	van	van	PROPN
cord-005350-19za0msu	226	7	kampen	kampen	PROPN
cord-005350-19za0msu	226	8	detrending	detrende	VERB
cord-005350-19za0msu	226	9	.	.	PUNCT
cord-005350-19za0msu	227	1	gaussian	gaussian	ADJ
cord-005350-19za0msu	227	2	filtering	filtering	NOUN
cord-005350-19za0msu	227	3	is	be	AUX
cord-005350-19za0msu	227	4	another	another	DET
cord-005350-19za0msu	227	5	,	,	PUNCT
cord-005350-19za0msu	227	6	more	more	ADV
cord-005350-19za0msu	227	7	common	common	ADJ
cord-005350-19za0msu	227	8	,	,	PUNCT
cord-005350-19za0msu	227	9	method	method	NOUN
cord-005350-19za0msu	227	10	used	use	VERB
cord-005350-19za0msu	227	11	to	to	PART
cord-005350-19za0msu	227	12	remove	remove	VERB
cord-005350-19za0msu	227	13	the	the	DET
cord-005350-19za0msu	227	14	influence	influence	NOUN
cord-005350-19za0msu	227	15	of	of	ADP
cord-005350-19za0msu	227	16	a	a	DET
cord-005350-19za0msu	227	17	slowly	slowly	ADV
cord-005350-19za0msu	227	18	varying	vary	VERB
cord-005350-19za0msu	227	19	mean	mean	NOUN
cord-005350-19za0msu	227	20	of	of	ADP
cord-005350-19za0msu	227	21	a	a	DET
cord-005350-19za0msu	227	22	data	datum	NOUN
cord-005350-19za0msu	227	23	series	series	NOUN
cord-005350-19za0msu	227	24	.	.	PUNCT
cord-005350-19za0msu	228	1	to	to	PART
cord-005350-19za0msu	228	2	compare	compare	VERB
cord-005350-19za0msu	228	3	the	the	DET
cord-005350-19za0msu	228	4	performance	performance	NOUN
cord-005350-19za0msu	228	5	of	of	ADP
cord-005350-19za0msu	228	6	gaussian	gaussian	ADJ
cord-005350-19za0msu	228	7	smoothing	smoothing	NOUN
cord-005350-19za0msu	228	8	to	to	ADP
cord-005350-19za0msu	228	9	van	van	PROPN
cord-005350-19za0msu	228	10	kampen	kampen	PROPN
cord-005350-19za0msu	228	11	detrending	detrende	VERB
cord-005350-19za0msu	228	12	,	,	PUNCT
cord-005350-19za0msu	228	13	for	for	ADP
cord-005350-19za0msu	228	14	each	each	DET
cord-005350-19za0msu	228	15	time	time	NOUN
cord-005350-19za0msu	228	16	series	series	NOUN
cord-005350-19za0msu	228	17	,	,	PUNCT
cord-005350-19za0msu	228	18	we	we	PRON
cord-005350-19za0msu	228	19	fit	fit	VERB
cord-005350-19za0msu	228	20	a	a	DET
cord-005350-19za0msu	228	21	gaussian	gaussian	ADJ
cord-005350-19za0msu	228	22	kernel	kernel	NOUN
cord-005350-19za0msu	228	23	smoothing	smoothing	ADJ
cord-005350-19za0msu	228	24	function	function	NOUN
cord-005350-19za0msu	228	25	across	across	ADP
cord-005350-19za0msu	228	26	the	the	DET
cord-005350-19za0msu	228	27	entire	entire	ADJ
cord-005350-19za0msu	228	28	infectious	infectious	ADJ
cord-005350-19za0msu	228	29	case	case	NOUN
cord-005350-19za0msu	228	30	record	record	NOUN
cord-005350-19za0msu	228	31	up	up	ADP
cord-005350-19za0msu	228	32	to	to	ADP
cord-005350-19za0msu	228	33	the	the	DET
cord-005350-19za0msu	228	34	time	time	NOUN
cord-005350-19za0msu	228	35	that	that	PRON
cord-005350-19za0msu	228	36	the	the	DET
cord-005350-19za0msu	228	37	transcritical	transcritical	ADJ
cord-005350-19za0msu	228	38	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	228	39	was	be	AUX
cord-005350-19za0msu	228	40	predicted	predict	VERB
cord-005350-19za0msu	228	41	using	use	VERB
cord-005350-19za0msu	228	42	a	a	DET
cord-005350-19za0msu	228	43	fixed	fixed	ADJ
cord-005350-19za0msu	228	44	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	228	45	.	.	PUNCT
cord-005350-19za0msu	229	1	lenton	lenton	PROPN
cord-005350-19za0msu	229	2	et	et	PROPN
cord-005350-19za0msu	229	3	al	al	PROPN
cord-005350-19za0msu	229	4	.	.	PUNCT
cord-005350-19za0msu	229	5	(	(	PUNCT
cord-005350-19za0msu	229	6	2012	2012	NUM
cord-005350-19za0msu	229	7	)	)	PUNCT
cord-005350-19za0msu	229	8	have	have	AUX
cord-005350-19za0msu	229	9	shown	show	VERB
cord-005350-19za0msu	229	10	that	that	SCONJ
cord-005350-19za0msu	229	11	the	the	DET
cord-005350-19za0msu	229	12	results	result	NOUN
cord-005350-19za0msu	229	13	obtained	obtain	VERB
cord-005350-19za0msu	229	14	from	from	ADP
cord-005350-19za0msu	229	15	applying	apply	VERB
cord-005350-19za0msu	229	16	the	the	DET
cord-005350-19za0msu	229	17	gaussian	gaussian	ADJ
cord-005350-19za0msu	229	18	filter	filter	NOUN
cord-005350-19za0msu	229	19	across	across	ADP
cord-005350-19za0msu	229	20	the	the	DET
cord-005350-19za0msu	229	21	entire	entire	ADJ
cord-005350-19za0msu	229	22	time	time	NOUN
cord-005350-19za0msu	229	23	series	series	NOUN
cord-005350-19za0msu	229	24	do	do	AUX
cord-005350-19za0msu	229	25	not	not	PART
cord-005350-19za0msu	229	26	differ	differ	VERB
cord-005350-19za0msu	229	27	significantly	significantly	ADV
cord-005350-19za0msu	229	28	from	from	ADP
cord-005350-19za0msu	229	29	detrending	detrende	VERB
cord-005350-19za0msu	229	30	within	within	ADP
cord-005350-19za0msu	229	31	windows	window	NOUN
cord-005350-19za0msu	229	32	.	.	PUNCT
cord-005350-19za0msu	230	1	to	to	PART
cord-005350-19za0msu	230	2	obtain	obtain	VERB
cord-005350-19za0msu	230	3	the	the	DET
cord-005350-19za0msu	230	4	residuals	residual	NOUN
cord-005350-19za0msu	230	5	,	,	PUNCT
cord-005350-19za0msu	230	6	we	we	PRON
cord-005350-19za0msu	230	7	subtracted	subtract	VERB
cord-005350-19za0msu	230	8	the	the	DET
cord-005350-19za0msu	230	9	fit	fit	NOUN
cord-005350-19za0msu	230	10	from	from	ADP
cord-005350-19za0msu	230	11	each	each	DET
cord-005350-19za0msu	230	12	time	time	NOUN
cord-005350-19za0msu	230	13	series	series	NOUN
cord-005350-19za0msu	230	14	and	and	CCONJ
cord-005350-19za0msu	230	15	divided	divide	VERB
cord-005350-19za0msu	230	16	by	by	ADP
cord-005350-19za0msu	230	17	the	the	DET
cord-005350-19za0msu	230	18	square	square	ADJ
cord-005350-19za0msu	230	19	root	root	NOUN
cord-005350-19za0msu	230	20	of	of	ADP
cord-005350-19za0msu	230	21	the	the	DET
cord-005350-19za0msu	230	22	population	population	NOUN
cord-005350-19za0msu	230	23	size	size	NOUN
cord-005350-19za0msu	230	24	to	to	PART
cord-005350-19za0msu	230	25	be	be	AUX
cord-005350-19za0msu	230	26	consistent	consistent	ADJ
cord-005350-19za0msu	230	27	with	with	ADP
cord-005350-19za0msu	230	28	van	van	PROPN
cord-005350-19za0msu	230	29	kampen	kampen	PROPN
cord-005350-19za0msu	230	30	detrending	detrende	VERB
cord-005350-19za0msu	230	31	.	.	PUNCT
cord-005350-19za0msu	231	1	the	the	DET
cord-005350-19za0msu	231	2	choice	choice	NOUN
cord-005350-19za0msu	231	3	of	of	ADP
cord-005350-19za0msu	231	4	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	231	5	was	be	AUX
cord-005350-19za0msu	231	6	informed	inform	VERB
cord-005350-19za0msu	231	7	by	by	ADP
cord-005350-19za0msu	231	8	the	the	DET
cord-005350-19za0msu	231	9	resemblance	resemblance	NOUN
cord-005350-19za0msu	231	10	of	of	ADP
cord-005350-19za0msu	231	11	the	the	DET
cord-005350-19za0msu	231	12	gaussian	gaussian	ADJ
cord-005350-19za0msu	231	13	residuals	residual	NOUN
cord-005350-19za0msu	231	14	to	to	ADP
cord-005350-19za0msu	231	15	the	the	DET
cord-005350-19za0msu	231	16	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	231	17	obtained	obtain	VERB
cord-005350-19za0msu	231	18	from	from	ADP
cord-005350-19za0msu	231	19	the	the	DET
cord-005350-19za0msu	231	20	van	van	PROPN
cord-005350-19za0msu	231	21	kampen	kampen	PROPN
cord-005350-19za0msu	231	22	approach	approach	NOUN
cord-005350-19za0msu	231	23	.	.	PUNCT
cord-005350-19za0msu	232	1	to	to	PART
cord-005350-19za0msu	232	2	study	study	VERB
cord-005350-19za0msu	232	3	the	the	DET
cord-005350-19za0msu	232	4	changes	change	NOUN
cord-005350-19za0msu	232	5	in	in	ADP
cord-005350-19za0msu	232	6	the	the	DET
cord-005350-19za0msu	232	7	statistics	statistic	NOUN
cord-005350-19za0msu	232	8	up	up	ADP
cord-005350-19za0msu	232	9	to	to	ADP
cord-005350-19za0msu	232	10	the	the	DET
cord-005350-19za0msu	232	11	critical	critical	ADJ
cord-005350-19za0msu	232	12	transition	transition	NOUN
cord-005350-19za0msu	232	13	,	,	PUNCT
cord-005350-19za0msu	232	14	we	we	PRON
cord-005350-19za0msu	232	15	calculated	calculate	VERB
cord-005350-19za0msu	232	16	the	the	DET
cord-005350-19za0msu	232	17	lag-1	lag-1	PUNCT
cord-005350-19za0msu	232	18	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	232	19	and	and	CCONJ
cord-005350-19za0msu	232	20	the	the	DET
cord-005350-19za0msu	232	21	variance	variance	NOUN
cord-005350-19za0msu	232	22	of	of	ADP
cord-005350-19za0msu	232	23	the	the	DET
cord-005350-19za0msu	232	24	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	232	25	obtained	obtain	VERB
cord-005350-19za0msu	232	26	using	use	VERB
cord-005350-19za0msu	232	27	the	the	DET
cord-005350-19za0msu	232	28	two	two	NUM
cord-005350-19za0msu	232	29	detrending	detrende	VERB
cord-005350-19za0msu	232	30	methods	method	NOUN
cord-005350-19za0msu	232	31	over	over	ADP
cord-005350-19za0msu	232	32	a	a	DET
cord-005350-19za0msu	232	33	moving	move	VERB
cord-005350-19za0msu	232	34	window	window	NOUN
cord-005350-19za0msu	232	35	half	half	DET
cord-005350-19za0msu	232	36	the	the	DET
cord-005350-19za0msu	232	37	length	length	NOUN
cord-005350-19za0msu	232	38	of	of	ADP
cord-005350-19za0msu	232	39	the	the	DET
cord-005350-19za0msu	232	40	time	time	NOUN
cord-005350-19za0msu	232	41	series	series	NOUN
cord-005350-19za0msu	232	42	.	.	PUNCT
cord-005350-19za0msu	233	1	we	we	PRON
cord-005350-19za0msu	233	2	calculated	calculate	VERB
cord-005350-19za0msu	233	3	the	the	DET
cord-005350-19za0msu	233	4	lag-1	lag-1	PUNCT
cord-005350-19za0msu	233	5	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	233	6	coefficient	coefficient	NOUN
cord-005350-19za0msu	233	7	of	of	ADP
cord-005350-19za0msu	233	8	each	each	DET
cord-005350-19za0msu	233	9	replicate	replicate	NOUN
cord-005350-19za0msu	233	10	using	use	VERB
cord-005350-19za0msu	233	11	the	the	DET
cord-005350-19za0msu	233	12	acf	acf	PROPN
cord-005350-19za0msu	233	13	function	function	NOUN
cord-005350-19za0msu	233	14	in	in	ADP
cord-005350-19za0msu	233	15	r.	r.	PROPN
cord-005350-19za0msu	233	16	the	the	DET
cord-005350-19za0msu	233	17	coefficient	coefficient	NOUN
cord-005350-19za0msu	233	18	of	of	ADP
cord-005350-19za0msu	233	19	variation	variation	NOUN
cord-005350-19za0msu	233	20	(	(	PUNCT
cord-005350-19za0msu	233	21	cv	cv	NOUN
cord-005350-19za0msu	233	22	)	)	PUNCT
cord-005350-19za0msu	233	23	was	be	AUX
cord-005350-19za0msu	233	24	calculated	calculate	VERB
cord-005350-19za0msu	233	25	by	by	ADP
cord-005350-19za0msu	233	26	calculating	calculate	VERB
cord-005350-19za0msu	233	27	,	,	PUNCT
cord-005350-19za0msu	233	28	over	over	ADP
cord-005350-19za0msu	233	29	a	a	DET
cord-005350-19za0msu	233	30	moving	move	VERB
cord-005350-19za0msu	233	31	window	window	NOUN
cord-005350-19za0msu	233	32	,	,	PUNCT
cord-005350-19za0msu	233	33	the	the	DET
cord-005350-19za0msu	233	34	mean	mean	ADJ
cord-005350-19za0msu	233	35	and	and	CCONJ
cord-005350-19za0msu	233	36	standard	standard	ADJ
cord-005350-19za0msu	233	37	deviation	deviation	NOUN
cord-005350-19za0msu	233	38	of	of	ADP
cord-005350-19za0msu	233	39	each	each	DET
cord-005350-19za0msu	233	40	infectious	infectious	ADJ
cord-005350-19za0msu	233	41	replicate	replicate	NOUN
cord-005350-19za0msu	233	42	.	.	PUNCT
cord-005350-19za0msu	234	1	the	the	DET
cord-005350-19za0msu	234	2	median	median	NOUN
cord-005350-19za0msu	234	3	and	and	CCONJ
cord-005350-19za0msu	234	4	95	95	NUM
cord-005350-19za0msu	234	5	%	%	NOUN
cord-005350-19za0msu	234	6	prediction	prediction	NOUN
cord-005350-19za0msu	234	7	intervals	interval	NOUN
cord-005350-19za0msu	234	8	for	for	ADP
cord-005350-19za0msu	234	9	each	each	PRON
cord-005350-19za0msu	234	10	of	of	ADP
cord-005350-19za0msu	234	11	the	the	DET
cord-005350-19za0msu	234	12	statistics	statistic	NOUN
cord-005350-19za0msu	234	13	were	be	AUX
cord-005350-19za0msu	234	14	calculated	calculate	VERB
cord-005350-19za0msu	234	15	over	over	ADP
cord-005350-19za0msu	234	16	the	the	DET
cord-005350-19za0msu	234	17	500	500	NUM
cord-005350-19za0msu	234	18	replicates	replicate	NOUN
cord-005350-19za0msu	234	19	of	of	ADP
cord-005350-19za0msu	234	20	each	each	DET
cord-005350-19za0msu	234	21	model	model	NOUN
cord-005350-19za0msu	234	22	.	.	PUNCT
cord-005350-19za0msu	235	1	the	the	DET
cord-005350-19za0msu	235	2	prediction	prediction	NOUN
cord-005350-19za0msu	235	3	intervals	interval	NOUN
cord-005350-19za0msu	235	4	were	be	AUX
cord-005350-19za0msu	235	5	calculated	calculate	VERB
cord-005350-19za0msu	235	6	using	use	VERB
cord-005350-19za0msu	235	7	the	the	DET
cord-005350-19za0msu	235	8	quantile	quantile	ADJ
cord-005350-19za0msu	235	9	function	function	NOUN
cord-005350-19za0msu	235	10	in	in	ADP
cord-005350-19za0msu	235	11	r.	r.	PROPN
cord-005350-19za0msu	235	12	to	to	PART
cord-005350-19za0msu	235	13	quantify	quantify	VERB
cord-005350-19za0msu	235	14	trends	trend	NOUN
cord-005350-19za0msu	235	15	in	in	ADP
cord-005350-19za0msu	235	16	each	each	DET
cord-005350-19za0msu	235	17	statistic	statistic	NOUN
cord-005350-19za0msu	235	18	for	for	ADP
cord-005350-19za0msu	235	19	each	each	DET
cord-005350-19za0msu	235	20	replicate	replicate	NOUN
cord-005350-19za0msu	235	21	,	,	PUNCT
cord-005350-19za0msu	235	22	we	we	PRON
cord-005350-19za0msu	235	23	used	use	VERB
cord-005350-19za0msu	235	24	kendall	kendall	PROPN
cord-005350-19za0msu	235	25	's	's	PART
cord-005350-19za0msu	235	26	correlation	correlation	NOUN
cord-005350-19za0msu	235	27	coefficient	coefficient	NOUN
cord-005350-19za0msu	235	28	τ	τ	PROPN
cord-005350-19za0msu	235	29	.	.	PUNCT
cord-005350-19za0msu	236	1	to	to	PART
cord-005350-19za0msu	236	2	determine	determine	VERB
cord-005350-19za0msu	236	3	the	the	DET
cord-005350-19za0msu	236	4	distribution	distribution	NOUN
cord-005350-19za0msu	236	5	of	of	ADP
cord-005350-19za0msu	236	6	kendall	kendall	PROPN
cord-005350-19za0msu	236	7	's	's	PART
cord-005350-19za0msu	236	8	τ	τ	NOUN
cord-005350-19za0msu	236	9	,	,	PUNCT
cord-005350-19za0msu	236	10	we	we	PRON
cord-005350-19za0msu	236	11	calculated	calculate	VERB
cord-005350-19za0msu	236	12	the	the	DET
cord-005350-19za0msu	236	13	coefficient	coefficient	NOUN
cord-005350-19za0msu	236	14	for	for	ADP
cord-005350-19za0msu	236	15	the	the	DET
cord-005350-19za0msu	236	16	trend	trend	NOUN
cord-005350-19za0msu	236	17	in	in	ADP
cord-005350-19za0msu	236	18	the	the	DET
cord-005350-19za0msu	236	19	test	test	NOUN
cord-005350-19za0msu	236	20	statistic	statistic	NOUN
cord-005350-19za0msu	236	21	for	for	ADP
cord-005350-19za0msu	236	22	each	each	DET
cord-005350-19za0msu	236	23	realization	realization	NOUN
cord-005350-19za0msu	236	24	.	.	PUNCT
cord-005350-19za0msu	237	1	to	to	PART
cord-005350-19za0msu	237	2	assess	assess	VERB
cord-005350-19za0msu	237	3	the	the	DET
cord-005350-19za0msu	237	4	performance	performance	NOUN
cord-005350-19za0msu	237	5	of	of	ADP
cord-005350-19za0msu	237	6	the	the	DET
cord-005350-19za0msu	237	7	leading	lead	VERB
cord-005350-19za0msu	237	8	indicators	indicator	NOUN
cord-005350-19za0msu	237	9	,	,	PUNCT
cord-005350-19za0msu	237	10	we	we	PRON
cord-005350-19za0msu	237	11	followed	follow	VERB
cord-005350-19za0msu	237	12	the	the	DET
cord-005350-19za0msu	237	13	approach	approach	NOUN
cord-005350-19za0msu	237	14	of	of	ADP
cord-005350-19za0msu	237	15	boettiger	boettiger	NOUN
cord-005350-19za0msu	237	16	and	and	CCONJ
cord-005350-19za0msu	237	17	hastings	hasting	NOUN
cord-005350-19za0msu	237	18	(	(	PUNCT
cord-005350-19za0msu	237	19	2012	2012	NUM
cord-005350-19za0msu	237	20	)	)	PUNCT
cord-005350-19za0msu	237	21	and	and	CCONJ
cord-005350-19za0msu	237	22	calculated	calculate	VERB
cord-005350-19za0msu	237	23	receiver	receiver	NOUN
cord-005350-19za0msu	237	24	operating	operate	VERB
cord-005350-19za0msu	237	25	characteristic	characteristic	ADJ
cord-005350-19za0msu	237	26	(	(	PUNCT
cord-005350-19za0msu	237	27	roc	roc	PROPN
cord-005350-19za0msu	237	28	)	)	PUNCT
cord-005350-19za0msu	237	29	curves	curve	NOUN
cord-005350-19za0msu	237	30	from	from	ADP
cord-005350-19za0msu	237	31	the	the	DET
cord-005350-19za0msu	237	32	distribution	distribution	NOUN
cord-005350-19za0msu	237	33	of	of	ADP
cord-005350-19za0msu	237	34	kendall	kendall	PROPN
cord-005350-19za0msu	237	35	's	's	PART
cord-005350-19za0msu	237	36	τ	τ	PROPN
cord-005350-19za0msu	237	37	calculated	calculate	VERB
cord-005350-19za0msu	237	38	from	from	ADP
cord-005350-19za0msu	237	39	realizations	realization	NOUN
cord-005350-19za0msu	237	40	of	of	ADP
cord-005350-19za0msu	237	41	the	the	DET
cord-005350-19za0msu	237	42	models	model	NOUN
cord-005350-19za0msu	237	43	with	with	ADP
cord-005350-19za0msu	237	44	and	and	CCONJ
cord-005350-19za0msu	237	45	without	without	ADP
cord-005350-19za0msu	237	46	transitions	transition	NOUN
cord-005350-19za0msu	237	47	.	.	PUNCT
cord-005350-19za0msu	238	1	the	the	DET
cord-005350-19za0msu	238	2	model	model	NOUN
cord-005350-19za0msu	238	3	without	without	ADP
cord-005350-19za0msu	238	4	a	a	DET
cord-005350-19za0msu	238	5	transition	transition	NOUN
cord-005350-19za0msu	238	6	is	be	AUX
cord-005350-19za0msu	238	7	quasi	quasi	ADJ
cord-005350-19za0msu	238	8	-	-	ADJ
cord-005350-19za0msu	238	9	stationary	stationary	ADJ
cord-005350-19za0msu	238	10	,	,	PUNCT
cord-005350-19za0msu	238	11	and	and	CCONJ
cord-005350-19za0msu	238	12	we	we	PRON
cord-005350-19za0msu	238	13	refer	refer	VERB
cord-005350-19za0msu	238	14	to	to	ADP
cord-005350-19za0msu	238	15	it	it	PRON
cord-005350-19za0msu	238	16	as	as	ADP
cord-005350-19za0msu	238	17	the	the	DET
cord-005350-19za0msu	238	18	baseline	baseline	NOUN
cord-005350-19za0msu	238	19	or	or	CCONJ
cord-005350-19za0msu	238	20	null	null	ADJ
cord-005350-19za0msu	238	21	model	model	NOUN
cord-005350-19za0msu	238	22	.	.	PUNCT
cord-005350-19za0msu	239	1	the	the	DET
cord-005350-19za0msu	239	2	null	null	ADJ
cord-005350-19za0msu	239	3	models	model	NOUN
cord-005350-19za0msu	239	4	for	for	ADP
cord-005350-19za0msu	239	5	elimination	elimination	NOUN
cord-005350-19za0msu	239	6	assume	assume	NOUN
cord-005350-19za0msu	239	7	vaccination	vaccination	NOUN
cord-005350-19za0msu	239	8	uptake	uptake	NOUN
cord-005350-19za0msu	239	9	p	p	PROPN
cord-005350-19za0msu	239	10	=	=	NOUN
cord-005350-19za0msu	239	11	0	0	NUM
cord-005350-19za0msu	239	12	and	and	CCONJ
cord-005350-19za0msu	239	13	are	be	AUX
cord-005350-19za0msu	239	14	simulated	simulate	VERB
cord-005350-19za0msu	239	15	beginning	begin	VERB
cord-005350-19za0msu	239	16	from	from	ADP
cord-005350-19za0msu	239	17	the	the	DET
cord-005350-19za0msu	239	18	deterministic	deterministic	ADJ
cord-005350-19za0msu	239	19	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	239	20	at	at	ADP
cord-005350-19za0msu	239	21	p	p	PROPN
cord-005350-19za0msu	239	22	=	=	PROPN
cord-005350-19za0msu	239	23	0	0	NUM
cord-005350-19za0msu	239	24	.	.	PUNCT
cord-005350-19za0msu	240	1	the	the	DET
cord-005350-19za0msu	240	2	null	null	ADJ
cord-005350-19za0msu	240	3	models	model	NOUN
cord-005350-19za0msu	240	4	for	for	ADP
cord-005350-19za0msu	240	5	emergence	emergence	NOUN
cord-005350-19za0msu	240	6	assume	assume	VERB
cord-005350-19za0msu	240	7	vaccination	vaccination	NOUN
cord-005350-19za0msu	240	8	uptake	uptake	NOUN
cord-005350-19za0msu	240	9	p	p	PROPN
cord-005350-19za0msu	240	10	=	=	X
cord-005350-19za0msu	240	11	0.96	0.96	NUM
cord-005350-19za0msu	240	12	and	and	CCONJ
cord-005350-19za0msu	240	13	are	be	AUX
cord-005350-19za0msu	240	14	simulated	simulate	VERB
cord-005350-19za0msu	240	15	beginning	begin	VERB
cord-005350-19za0msu	240	16	from	from	ADP
cord-005350-19za0msu	240	17	the	the	DET
cord-005350-19za0msu	240	18	deterministic	deterministic	ADJ
cord-005350-19za0msu	240	19	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	240	20	at	at	ADP
cord-005350-19za0msu	240	21	p	p	PROPN
cord-005350-19za0msu	240	22	=	=	X
cord-005350-19za0msu	240	23	0.96	0.96	NUM
cord-005350-19za0msu	240	24	.	.	PUNCT
cord-005350-19za0msu	241	1	the	the	DET
cord-005350-19za0msu	241	2	baseline	baseline	NOUN
cord-005350-19za0msu	241	3	models	model	NOUN
cord-005350-19za0msu	241	4	were	be	AUX
cord-005350-19za0msu	241	5	simulated	simulate	VERB
cord-005350-19za0msu	241	6	for	for	ADP
cord-005350-19za0msu	241	7	the	the	DET
cord-005350-19za0msu	241	8	same	same	ADJ
cord-005350-19za0msu	241	9	length	length	NOUN
cord-005350-19za0msu	241	10	of	of	ADP
cord-005350-19za0msu	241	11	time	time	NOUN
cord-005350-19za0msu	241	12	as	as	SCONJ
cord-005350-19za0msu	241	13	it	it	PRON
cord-005350-19za0msu	241	14	takes	take	VERB
cord-005350-19za0msu	241	15	for	for	SCONJ
cord-005350-19za0msu	241	16	the	the	DET
cord-005350-19za0msu	241	17	transition	transition	NOUN
cord-005350-19za0msu	241	18	to	to	PART
cord-005350-19za0msu	241	19	be	be	AUX
cord-005350-19za0msu	241	20	approached	approach	VERB
cord-005350-19za0msu	241	21	in	in	ADP
cord-005350-19za0msu	241	22	the	the	DET
cord-005350-19za0msu	241	23	test	test	NOUN
cord-005350-19za0msu	241	24	models	model	NOUN
cord-005350-19za0msu	241	25	.	.	PUNCT
cord-005350-19za0msu	242	1	the	the	DET
cord-005350-19za0msu	242	2	model	model	NOUN
cord-005350-19za0msu	242	3	with	with	ADP
cord-005350-19za0msu	242	4	a	a	DET
cord-005350-19za0msu	242	5	transition	transition	NOUN
cord-005350-19za0msu	242	6	is	be	AUX
cord-005350-19za0msu	242	7	the	the	DET
cord-005350-19za0msu	242	8	test	test	NOUN
cord-005350-19za0msu	242	9	model	model	NOUN
cord-005350-19za0msu	242	10	.	.	PUNCT
cord-005350-19za0msu	243	1	an	an	DET
cord-005350-19za0msu	243	2	roc	roc	PROPN
cord-005350-19za0msu	243	3	curve	curve	NOUN
cord-005350-19za0msu	243	4	enables	enable	VERB
cord-005350-19za0msu	243	5	investigation	investigation	NOUN
cord-005350-19za0msu	243	6	of	of	ADP
cord-005350-19za0msu	243	7	the	the	DET
cord-005350-19za0msu	243	8	sensitivity	sensitivity	NOUN
cord-005350-19za0msu	243	9	of	of	ADP
cord-005350-19za0msu	243	10	leading	lead	VERB
cord-005350-19za0msu	243	11	indicators	indicator	NOUN
cord-005350-19za0msu	243	12	to	to	PART
cord-005350-19za0msu	243	13	detect	detect	VERB
cord-005350-19za0msu	243	14	differences	difference	NOUN
cord-005350-19za0msu	243	15	between	between	ADP
cord-005350-19za0msu	243	16	quasi	quasi	ADJ
cord-005350-19za0msu	243	17	-	-	ADJ
cord-005350-19za0msu	243	18	stationary	stationary	ADJ
cord-005350-19za0msu	243	19	systems	system	NOUN
cord-005350-19za0msu	243	20	and	and	CCONJ
cord-005350-19za0msu	243	21	those	those	PRON
cord-005350-19za0msu	243	22	approaching	approach	VERB
cord-005350-19za0msu	243	23	a	a	DET
cord-005350-19za0msu	243	24	critical	critical	ADJ
cord-005350-19za0msu	243	25	transition	transition	NOUN
cord-005350-19za0msu	243	26	.	.	PUNCT
cord-005350-19za0msu	244	1	we	we	PRON
cord-005350-19za0msu	244	2	simulated	simulate	VERB
cord-005350-19za0msu	244	3	the	the	DET
cord-005350-19za0msu	244	4	baseline	baseline	NOUN
cord-005350-19za0msu	244	5	models	model	NOUN
cord-005350-19za0msu	244	6	500	500	NUM
cord-005350-19za0msu	244	7	times	time	NOUN
cord-005350-19za0msu	244	8	and	and	CCONJ
cord-005350-19za0msu	244	9	obtained	obtain	VERB
cord-005350-19za0msu	244	10	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	244	11	using	use	VERB
cord-005350-19za0msu	244	12	the	the	DET
cord-005350-19za0msu	244	13	van	van	PROPN
cord-005350-19za0msu	244	14	kampen	kampen	PROPN
cord-005350-19za0msu	244	15	approach	approach	NOUN
cord-005350-19za0msu	244	16	and	and	CCONJ
cord-005350-19za0msu	244	17	from	from	ADP
cord-005350-19za0msu	244	18	gaussian	gaussian	ADJ
cord-005350-19za0msu	244	19	filtering	filtering	NOUN
cord-005350-19za0msu	244	20	.	.	PUNCT
cord-005350-19za0msu	245	1	we	we	PRON
cord-005350-19za0msu	245	2	then	then	ADV
cord-005350-19za0msu	245	3	quantified	quantify	VERB
cord-005350-19za0msu	245	4	the	the	DET
cord-005350-19za0msu	245	5	trend	trend	NOUN
cord-005350-19za0msu	245	6	in	in	ADP
cord-005350-19za0msu	245	7	each	each	DET
cord-005350-19za0msu	245	8	indicator	indicator	NOUN
cord-005350-19za0msu	245	9	using	use	VERB
cord-005350-19za0msu	245	10	kendall	kendall	PROPN
cord-005350-19za0msu	245	11	's	's	PART
cord-005350-19za0msu	245	12	τ	τ	NOUN
cord-005350-19za0msu	245	13	for	for	ADP
cord-005350-19za0msu	245	14	each	each	DET
cord-005350-19za0msu	245	15	baseline	baseline	ADJ
cord-005350-19za0msu	245	16	simulation	simulation	NOUN
cord-005350-19za0msu	245	17	.	.	PUNCT
cord-005350-19za0msu	246	1	in	in	ADP
cord-005350-19za0msu	246	2	our	our	PRON
cord-005350-19za0msu	246	3	results	result	NOUN
cord-005350-19za0msu	246	4	,	,	PUNCT
cord-005350-19za0msu	246	5	indicator	indicator	PROPN
cord-005350-19za0msu	246	6	statistics	statistic	NOUN
cord-005350-19za0msu	246	7	typically	typically	ADV
cord-005350-19za0msu	246	8	exhibited	exhibit	VERB
cord-005350-19za0msu	246	9	increasing	increase	VERB
cord-005350-19za0msu	246	10	trends	trend	NOUN
cord-005350-19za0msu	246	11	or	or	CCONJ
cord-005350-19za0msu	246	12	no	no	DET
cord-005350-19za0msu	246	13	trend	trend	NOUN
cord-005350-19za0msu	246	14	,	,	PUNCT
cord-005350-19za0msu	246	15	but	but	CCONJ
cord-005350-19za0msu	246	16	for	for	ADP
cord-005350-19za0msu	246	17	those	those	PRON
cord-005350-19za0msu	246	18	that	that	PRON
cord-005350-19za0msu	246	19	decreased	decrease	VERB
cord-005350-19za0msu	246	20	,	,	PUNCT
cord-005350-19za0msu	246	21	we	we	PRON
cord-005350-19za0msu	246	22	multiplied	multiply	VERB
cord-005350-19za0msu	246	23	kendall	kendall	PROPN
cord-005350-19za0msu	246	24	's	's	PART
cord-005350-19za0msu	246	25	τ	τ	NOUN
cord-005350-19za0msu	246	26	for	for	ADP
cord-005350-19za0msu	246	27	each	each	DET
cord-005350-19za0msu	246	28	realization	realization	NOUN
cord-005350-19za0msu	246	29	by	by	ADP
cord-005350-19za0msu	246	30	-1	-1	VERB
cord-005350-19za0msu	246	31	to	to	PART
cord-005350-19za0msu	246	32	calculate	calculate	VERB
cord-005350-19za0msu	246	33	the	the	DET
cord-005350-19za0msu	246	34	roc	roc	PROPN
cord-005350-19za0msu	246	35	curve	curve	NOUN
cord-005350-19za0msu	246	36	.	.	PUNCT
cord-005350-19za0msu	247	1	the	the	DET
cord-005350-19za0msu	247	2	area	area	NOUN
cord-005350-19za0msu	247	3	under	under	ADP
cord-005350-19za0msu	247	4	the	the	DET
cord-005350-19za0msu	247	5	roc	roc	PROPN
cord-005350-19za0msu	247	6	curve	curve	PROPN
cord-005350-19za0msu	247	7	(	(	PUNCT
cord-005350-19za0msu	247	8	auc	auc	PROPN
cord-005350-19za0msu	247	9	)	)	PUNCT
cord-005350-19za0msu	247	10	was	be	AUX
cord-005350-19za0msu	247	11	also	also	ADV
cord-005350-19za0msu	247	12	calculated	calculate	VERB
cord-005350-19za0msu	247	13	.	.	PUNCT
cord-005350-19za0msu	248	1	an	an	DET
cord-005350-19za0msu	248	2	auc	auc	ADJ
cord-005350-19za0msu	248	3	close	close	NOUN
cord-005350-19za0msu	248	4	to	to	ADP
cord-005350-19za0msu	248	5	one	one	NUM
cord-005350-19za0msu	248	6	indicates	indicate	VERB
cord-005350-19za0msu	248	7	near	near	ADP
cord-005350-19za0msu	248	8	-	-	PUNCT
cord-005350-19za0msu	248	9	perfect	perfect	ADJ
cord-005350-19za0msu	248	10	detection	detection	NOUN
cord-005350-19za0msu	248	11	.	.	PUNCT
cord-005350-19za0msu	249	1	the	the	DET
cord-005350-19za0msu	249	2	mean	mean	ADJ
cord-005350-19za0msu	249	3	field	field	NOUN
cord-005350-19za0msu	249	4	fast	fast	ADV
cord-005350-19za0msu	249	5	-	-	PUNCT
cord-005350-19za0msu	249	6	slow	slow	ADJ
cord-005350-19za0msu	249	7	dynamics	dynamic	NOUN
cord-005350-19za0msu	249	8	drive	drive	VERB
cord-005350-19za0msu	249	9	the	the	DET
cord-005350-19za0msu	249	10	transitions	transition	NOUN
cord-005350-19za0msu	249	11	to	to	PART
cord-005350-19za0msu	249	12	elimination	elimination	NOUN
cord-005350-19za0msu	249	13	and	and	CCONJ
cord-005350-19za0msu	249	14	emergence	emergence	NOUN
cord-005350-19za0msu	249	15	in	in	ADP
cord-005350-19za0msu	249	16	stochastic	stochastic	ADJ
cord-005350-19za0msu	249	17	sis	sis	NOUN
cord-005350-19za0msu	249	18	models	model	NOUN
cord-005350-19za0msu	249	19	with	with	ADP
cord-005350-19za0msu	249	20	gradual	gradual	ADJ
cord-005350-19za0msu	249	21	changes	change	NOUN
cord-005350-19za0msu	249	22	in	in	ADP
cord-005350-19za0msu	249	23	transmission	transmission	NOUN
cord-005350-19za0msu	249	24	.	.	PUNCT
cord-005350-19za0msu	250	1	figure	figure	NOUN
cord-005350-19za0msu	250	2	3a	3a	PROPN
cord-005350-19za0msu	250	3	shows	show	VERB
cord-005350-19za0msu	250	4	a	a	DET
cord-005350-19za0msu	250	5	solution	solution	NOUN
cord-005350-19za0msu	250	6	y(t	y(t	PROPN
cord-005350-19za0msu	250	7	)	)	PUNCT
cord-005350-19za0msu	250	8	of	of	ADP
cord-005350-19za0msu	250	9	the	the	DET
cord-005350-19za0msu	250	10	fast	fast	ADV
cord-005350-19za0msu	250	11	-	-	PUNCT
cord-005350-19za0msu	250	12	slow	slow	ADJ
cord-005350-19za0msu	250	13	system	system	NOUN
cord-005350-19za0msu	250	14	(	(	PUNCT
cord-005350-19za0msu	250	15	3	3	NUM
cord-005350-19za0msu	250	16	)	)	PUNCT
cord-005350-19za0msu	250	17	with	with	ADP
cord-005350-19za0msu	250	18	η	η	NOUN
cord-005350-19za0msu	250	19	=	=	NOUN
cord-005350-19za0msu	250	20	0	0	NUM
cord-005350-19za0msu	250	21	.	.	PUNCT
cord-005350-19za0msu	251	1	the	the	DET
cord-005350-19za0msu	251	2	solution	solution	NOUN
cord-005350-19za0msu	251	3	is	be	AUX
cord-005350-19za0msu	251	4	the	the	DET
cord-005350-19za0msu	251	5	current	current	ADJ
cord-005350-19za0msu	251	6	"	"	PUNCT
cord-005350-19za0msu	251	7	pool	pool	NOUN
cord-005350-19za0msu	251	8	"	"	PUNCT
cord-005350-19za0msu	251	9	of	of	ADP
cord-005350-19za0msu	251	10	infectious	infectious	ADJ
cord-005350-19za0msu	251	11	individuals	individual	NOUN
cord-005350-19za0msu	251	12	(	(	PUNCT
cord-005350-19za0msu	251	13	the	the	DET
cord-005350-19za0msu	251	14	proportion	proportion	NOUN
cord-005350-19za0msu	251	15	infectious	infectious	ADJ
cord-005350-19za0msu	251	16	y(t	y(t	PROPN
cord-005350-19za0msu	251	17	)	)	PUNCT
cord-005350-19za0msu	251	18	)	)	PUNCT
cord-005350-19za0msu	251	19	,	,	PUNCT
cord-005350-19za0msu	251	20	not	not	PART
cord-005350-19za0msu	251	21	the	the	DET
cord-005350-19za0msu	251	22	number	number	NOUN
cord-005350-19za0msu	251	23	of	of	ADP
cord-005350-19za0msu	251	24	new	new	ADJ
cord-005350-19za0msu	251	25	cases	case	NOUN
cord-005350-19za0msu	251	26	per	per	ADP
cord-005350-19za0msu	251	27	time	time	NOUN
cord-005350-19za0msu	251	28	interval	interval	NOUN
cord-005350-19za0msu	251	29	that	that	PRON
cord-005350-19za0msu	251	30	comprise	comprise	VERB
cord-005350-19za0msu	251	31	the	the	DET
cord-005350-19za0msu	251	32	traditional	traditional	ADJ
cord-005350-19za0msu	251	33	epidemic	epidemic	NOUN
cord-005350-19za0msu	251	34	curve	curve	NOUN
cord-005350-19za0msu	251	35	or	or	CCONJ
cord-005350-19za0msu	251	36	recorded	record	VERB
cord-005350-19za0msu	251	37	case	case	NOUN
cord-005350-19za0msu	251	38	reports	report	NOUN
cord-005350-19za0msu	251	39	of	of	ADP
cord-005350-19za0msu	251	40	infectious	infectious	ADJ
cord-005350-19za0msu	251	41	individuals	individual	NOUN
cord-005350-19za0msu	251	42	.	.	PUNCT
cord-005350-19za0msu	252	1	at	at	ADP
cord-005350-19za0msu	252	2	time	time	NOUN
cord-005350-19za0msu	252	3	t	t	PROPN
cord-005350-19za0msu	252	4	=	=	PROPN
cord-005350-19za0msu	252	5	450	450	NUM
cord-005350-19za0msu	252	6	,	,	PUNCT
cord-005350-19za0msu	252	7	the	the	DET
cord-005350-19za0msu	252	8	limiting	limiting	NOUN
cord-005350-19za0msu	252	9	case	case	NOUN
cord-005350-19za0msu	252	10	model	model	NOUN
cord-005350-19za0msu	252	11	predicts	predict	VERB
cord-005350-19za0msu	252	12	elimination	elimination	NOUN
cord-005350-19za0msu	252	13	of	of	ADP
cord-005350-19za0msu	252	14	the	the	DET
cord-005350-19za0msu	252	15	table	table	NOUN
cord-005350-19za0msu	252	16	7	7	NUM
cord-005350-19za0msu	252	17	pathogen	pathogen	PROPN
cord-005350-19za0msu	252	18	.	.	PUNCT
cord-005350-19za0msu	253	1	the	the	DET
cord-005350-19za0msu	253	2	limit	limit	NOUN
cord-005350-19za0msu	253	3	case	case	NOUN
cord-005350-19za0msu	253	4	plotted	plot	VERB
cord-005350-19za0msu	253	5	in	in	ADP
cord-005350-19za0msu	253	6	the	the	DET
cord-005350-19za0msu	253	7	figure	figure	NOUN
cord-005350-19za0msu	253	8	is	be	AUX
cord-005350-19za0msu	253	9	that	that	SCONJ
cord-005350-19za0msu	253	10	arising	arise	VERB
cord-005350-19za0msu	253	11	from	from	ADP
cord-005350-19za0msu	253	12	the	the	DET
cord-005350-19za0msu	253	13	→	→	SYM
cord-005350-19za0msu	253	14	0	0	NUM
cord-005350-19za0msu	253	15	mean	mean	NOUN
cord-005350-19za0msu	253	16	field	field	NOUN
cord-005350-19za0msu	253	17	theory	theory	NOUN
cord-005350-19za0msu	253	18	,	,	PUNCT
cord-005350-19za0msu	253	19	not	not	PART
cord-005350-19za0msu	253	20	the	the	DET
cord-005350-19za0msu	253	21	η	η	NOUN
cord-005350-19za0msu	253	22	=	=	SYM
cord-005350-19za0msu	253	23	0	0	NUM
cord-005350-19za0msu	253	24	critical	critical	ADJ
cord-005350-19za0msu	253	25	case	case	NOUN
cord-005350-19za0msu	253	26	.	.	PUNCT
cord-005350-19za0msu	254	1	here	here	ADV
cord-005350-19za0msu	254	2	,	,	PUNCT
cord-005350-19za0msu	254	3	we	we	PRON
cord-005350-19za0msu	254	4	note	note	VERB
cord-005350-19za0msu	254	5	that	that	SCONJ
cord-005350-19za0msu	254	6	the	the	DET
cord-005350-19za0msu	254	7	limit	limit	NOUN
cord-005350-19za0msu	254	8	case	case	NOUN
cord-005350-19za0msu	254	9	→	→	NOUN
cord-005350-19za0msu	254	10	0	0	NUM
cord-005350-19za0msu	254	11	and	and	CCONJ
cord-005350-19za0msu	254	12	the	the	DET
cord-005350-19za0msu	254	13	solution	solution	NOUN
cord-005350-19za0msu	254	14	of	of	ADP
cord-005350-19za0msu	254	15	the	the	DET
cord-005350-19za0msu	254	16	fast	fast	ADV
cord-005350-19za0msu	254	17	-	-	PUNCT
cord-005350-19za0msu	254	18	slow	slow	ADJ
cord-005350-19za0msu	254	19	system	system	NOUN
cord-005350-19za0msu	254	20	diverge	diverge	VERB
cord-005350-19za0msu	254	21	from	from	ADP
cord-005350-19za0msu	254	22	one	one	NUM
cord-005350-19za0msu	254	23	another	another	DET
cord-005350-19za0msu	254	24	close	close	NOUN
cord-005350-19za0msu	254	25	to	to	ADP
cord-005350-19za0msu	254	26	the	the	DET
cord-005350-19za0msu	254	27	proximity	proximity	NOUN
cord-005350-19za0msu	254	28	of	of	ADP
cord-005350-19za0msu	254	29	the	the	DET
cord-005350-19za0msu	254	30	transcritical	transcritical	ADJ
cord-005350-19za0msu	254	31	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	254	32	of	of	ADP
cord-005350-19za0msu	254	33	the	the	DET
cord-005350-19za0msu	254	34	η	η	PROPN
cord-005350-19za0msu	254	35	=	=	SYM
cord-005350-19za0msu	254	36	0	0	NUM
cord-005350-19za0msu	254	37	limit	limit	NOUN
cord-005350-19za0msu	254	38	case	case	NOUN
cord-005350-19za0msu	254	39	.	.	PUNCT
cord-005350-19za0msu	255	1	figure	figure	NOUN
cord-005350-19za0msu	255	2	3b	3b	NOUN
cord-005350-19za0msu	255	3	shows	show	VERB
cord-005350-19za0msu	255	4	a	a	DET
cord-005350-19za0msu	255	5	typical	typical	ADJ
cord-005350-19za0msu	255	6	realization	realization	NOUN
cord-005350-19za0msu	255	7	of	of	ADP
cord-005350-19za0msu	255	8	the	the	DET
cord-005350-19za0msu	255	9	stochastic	stochastic	ADJ
cord-005350-19za0msu	255	10	counterpart	counterpart	NOUN
cord-005350-19za0msu	255	11	of	of	ADP
cord-005350-19za0msu	255	12	the	the	DET
cord-005350-19za0msu	255	13	fast	fast	ADV
cord-005350-19za0msu	255	14	-	-	PUNCT
cord-005350-19za0msu	255	15	slow	slow	ADJ
cord-005350-19za0msu	255	16	sis	sis	NOUN
cord-005350-19za0msu	255	17	system	system	NOUN
cord-005350-19za0msu	255	18	with	with	ADP
cord-005350-19za0msu	255	19	η	η	NOUN
cord-005350-19za0msu	255	20	=	=	NOUN
cord-005350-19za0msu	255	21	0	0	NUM
cord-005350-19za0msu	255	22	,	,	PUNCT
cord-005350-19za0msu	255	23	assuming	assume	VERB
cord-005350-19za0msu	255	24	a	a	DET
cord-005350-19za0msu	255	25	change	change	NOUN
cord-005350-19za0msu	255	26	in	in	ADP
cord-005350-19za0msu	255	27	vaccination	vaccination	NOUN
cord-005350-19za0msu	255	28	uptake	uptake	NOUN
cord-005350-19za0msu	255	29	of	of	ADP
cord-005350-19za0msu	255	30	p	p	PROPN
cord-005350-19za0msu	255	31	0	0	NUM
cord-005350-19za0msu	255	32	=	=	SYM
cord-005350-19za0msu	255	33	1/500	1/500	NUM
cord-005350-19za0msu	255	34	per	per	ADP
cord-005350-19za0msu	255	35	year	year	NOUN
cord-005350-19za0msu	255	36	.	.	PUNCT
cord-005350-19za0msu	256	1	the	the	DET
cord-005350-19za0msu	256	2	description	description	NOUN
cord-005350-19za0msu	256	3	of	of	ADP
cord-005350-19za0msu	256	4	the	the	DET
cord-005350-19za0msu	256	5	stochastic	stochastic	ADJ
cord-005350-19za0msu	256	6	process	process	NOUN
cord-005350-19za0msu	256	7	is	be	AUX
cord-005350-19za0msu	256	8	outlined	outline	VERB
cord-005350-19za0msu	256	9	in	in	ADP
cord-005350-19za0msu	256	10	table	table	NOUN
cord-005350-19za0msu	256	11	2	2	NUM
cord-005350-19za0msu	256	12	.	.	PUNCT
cord-005350-19za0msu	257	1	the	the	DET
cord-005350-19za0msu	257	2	infectious	infectious	ADJ
cord-005350-19za0msu	257	3	population	population	NOUN
cord-005350-19za0msu	257	4	slowly	slowly	ADV
cord-005350-19za0msu	257	5	declines	decline	VERB
cord-005350-19za0msu	257	6	and	and	CCONJ
cord-005350-19za0msu	257	7	closely	closely	ADV
cord-005350-19za0msu	257	8	follows	follow	VERB
cord-005350-19za0msu	257	9	the	the	DET
cord-005350-19za0msu	257	10	limiting	limiting	NOUN
cord-005350-19za0msu	257	11	case	case	NOUN
cord-005350-19za0msu	257	12	→	→	SYM
cord-005350-19za0msu	257	13	0	0	NUM
cord-005350-19za0msu	257	14	up	up	ADV
cord-005350-19za0msu	257	15	until	until	ADP
cord-005350-19za0msu	257	16	time	time	NOUN
cord-005350-19za0msu	257	17	t	t	NOUN
cord-005350-19za0msu	257	18	=	=	PROPN
cord-005350-19za0msu	257	19	400	400	NUM
cord-005350-19za0msu	257	20	before	before	ADP
cord-005350-19za0msu	257	21	eventually	eventually	ADV
cord-005350-19za0msu	257	22	diverging	diverge	VERB
cord-005350-19za0msu	257	23	.	.	PUNCT
cord-005350-19za0msu	258	1	the	the	DET
cord-005350-19za0msu	258	2	inset	inset	ADJ
cord-005350-19za0msu	258	3	figure	figure	NOUN
cord-005350-19za0msu	258	4	indicates	indicate	VERB
cord-005350-19za0msu	258	5	that	that	SCONJ
cord-005350-19za0msu	258	6	the	the	DET
cord-005350-19za0msu	258	7	infectious	infectious	ADJ
cord-005350-19za0msu	258	8	population	population	NOUN
cord-005350-19za0msu	258	9	remains	remain	VERB
cord-005350-19za0msu	258	10	elevated	elevate	VERB
cord-005350-19za0msu	258	11	50	50	NUM
cord-005350-19za0msu	258	12	years	year	NOUN
cord-005350-19za0msu	258	13	after	after	SCONJ
cord-005350-19za0msu	258	14	the	the	DET
cord-005350-19za0msu	258	15	transcritical	transcritical	ADJ
cord-005350-19za0msu	258	16	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	258	17	has	have	AUX
cord-005350-19za0msu	258	18	occurred	occur	VERB
cord-005350-19za0msu	258	19	in	in	ADP
cord-005350-19za0msu	258	20	the	the	DET
cord-005350-19za0msu	258	21	model	model	NOUN
cord-005350-19za0msu	258	22	with	with	ADP
cord-005350-19za0msu	258	23	η	η	NOUN
cord-005350-19za0msu	258	24	=	=	NOUN
cord-005350-19za0msu	258	25	0	0	NUM
cord-005350-19za0msu	258	26	.	.	PUNCT
cord-005350-19za0msu	259	1	therefore	therefore	ADV
cord-005350-19za0msu	259	2	,	,	PUNCT
cord-005350-19za0msu	259	3	the	the	DET
cord-005350-19za0msu	259	4	transition	transition	NOUN
cord-005350-19za0msu	259	5	to	to	ADP
cord-005350-19za0msu	259	6	elimination	elimination	NOUN
cord-005350-19za0msu	259	7	in	in	ADP
cord-005350-19za0msu	259	8	this	this	DET
cord-005350-19za0msu	259	9	system	system	NOUN
cord-005350-19za0msu	259	10	is	be	AUX
cord-005350-19za0msu	259	11	characterized	characterize	VERB
cord-005350-19za0msu	259	12	by	by	ADP
cord-005350-19za0msu	259	13	a	a	DET
cord-005350-19za0msu	259	14	slow	slow	ADJ
cord-005350-19za0msu	259	15	change	change	NOUN
cord-005350-19za0msu	259	16	in	in	ADP
cord-005350-19za0msu	259	17	the	the	DET
cord-005350-19za0msu	259	18	mean	mean	NOUN
cord-005350-19za0msu	259	19	,	,	PUNCT
cord-005350-19za0msu	259	20	followed	follow	VERB
cord-005350-19za0msu	259	21	by	by	ADP
cord-005350-19za0msu	259	22	rapid	rapid	ADJ
cord-005350-19za0msu	259	23	fall	fall	NOUN
cord-005350-19za0msu	259	24	off	off	ADP
cord-005350-19za0msu	259	25	in	in	ADP
cord-005350-19za0msu	259	26	incidence	incidence	NOUN
cord-005350-19za0msu	259	27	that	that	PRON
cord-005350-19za0msu	259	28	precedes	precede	VERB
cord-005350-19za0msu	259	29	a	a	DET
cord-005350-19za0msu	259	30	very	very	ADV
cord-005350-19za0msu	259	31	slow	slow	ADJ
cord-005350-19za0msu	259	32	fadeout	fadeout	NOUN
cord-005350-19za0msu	259	33	to	to	ADP
cord-005350-19za0msu	259	34	extinction	extinction	NOUN
cord-005350-19za0msu	259	35	.	.	PUNCT
cord-005350-19za0msu	260	1	on	on	ADP
cord-005350-19za0msu	260	2	the	the	DET
cord-005350-19za0msu	260	3	other	other	ADJ
cord-005350-19za0msu	260	4	hand	hand	NOUN
cord-005350-19za0msu	260	5	,	,	PUNCT
cord-005350-19za0msu	260	6	if	if	SCONJ
cord-005350-19za0msu	260	7	a	a	DET
cord-005350-19za0msu	260	8	disease	disease	NOUN
cord-005350-19za0msu	260	9	is	be	AUX
cord-005350-19za0msu	260	10	emerging	emerge	VERB
cord-005350-19za0msu	260	11	due	due	ADP
cord-005350-19za0msu	260	12	to	to	ADP
cord-005350-19za0msu	260	13	small	small	ADJ
cord-005350-19za0msu	260	14	increases	increase	NOUN
cord-005350-19za0msu	260	15	in	in	ADP
cord-005350-19za0msu	260	16	transmission	transmission	NOUN
cord-005350-19za0msu	260	17	,	,	PUNCT
cord-005350-19za0msu	260	18	or	or	CCONJ
cord-005350-19za0msu	260	19	the	the	DET
cord-005350-19za0msu	260	20	level	level	NOUN
cord-005350-19za0msu	260	21	of	of	ADP
cord-005350-19za0msu	260	22	vaccination	vaccination	NOUN
cord-005350-19za0msu	260	23	uptake	uptake	NOUN
cord-005350-19za0msu	260	24	in	in	ADP
cord-005350-19za0msu	260	25	the	the	DET
cord-005350-19za0msu	260	26	population	population	NOUN
cord-005350-19za0msu	260	27	is	be	AUX
cord-005350-19za0msu	260	28	declining	decline	VERB
cord-005350-19za0msu	260	29	,	,	PUNCT
cord-005350-19za0msu	260	30	solutions	solution	NOUN
cord-005350-19za0msu	260	31	of	of	ADP
cord-005350-19za0msu	260	32	the	the	DET
cord-005350-19za0msu	260	33	fast	fast	ADV
cord-005350-19za0msu	260	34	-	-	PUNCT
cord-005350-19za0msu	260	35	slow	slow	ADJ
cord-005350-19za0msu	260	36	system	system	NOUN
cord-005350-19za0msu	260	37	may	may	AUX
cord-005350-19za0msu	260	38	exhibit	exhibit	VERB
cord-005350-19za0msu	260	39	a	a	DET
cord-005350-19za0msu	260	40	"	"	PUNCT
cord-005350-19za0msu	260	41	delay	delay	NOUN
cord-005350-19za0msu	260	42	"	"	PUNCT
cord-005350-19za0msu	260	43	in	in	ADP
cord-005350-19za0msu	260	44	emergence	emergence	NOUN
cord-005350-19za0msu	260	45	relative	relative	ADJ
cord-005350-19za0msu	260	46	to	to	ADP
cord-005350-19za0msu	260	47	the	the	DET
cord-005350-19za0msu	260	48	occurrence	occurrence	NOUN
cord-005350-19za0msu	260	49	of	of	ADP
cord-005350-19za0msu	260	50	the	the	DET
cord-005350-19za0msu	260	51	transcritical	transcritical	ADJ
cord-005350-19za0msu	260	52	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	260	53	.	.	PUNCT
cord-005350-19za0msu	261	1	figure	figure	NOUN
cord-005350-19za0msu	261	2	4a	4a	NOUN
cord-005350-19za0msu	261	3	shows	show	VERB
cord-005350-19za0msu	261	4	the	the	DET
cord-005350-19za0msu	261	5	delay	delay	NOUN
cord-005350-19za0msu	261	6	in	in	ADP
cord-005350-19za0msu	261	7	emergence	emergence	NOUN
cord-005350-19za0msu	261	8	in	in	ADP
cord-005350-19za0msu	261	9	a	a	DET
cord-005350-19za0msu	261	10	solution	solution	NOUN
cord-005350-19za0msu	261	11	of	of	ADP
cord-005350-19za0msu	261	12	eq	eq	PROPN
cord-005350-19za0msu	261	13	.	.	PUNCT
cord-005350-19za0msu	262	1	(	(	PUNCT
cord-005350-19za0msu	262	2	3	3	NUM
cord-005350-19za0msu	262	3	)	)	PUNCT
cord-005350-19za0msu	262	4	with	with	ADP
cord-005350-19za0msu	262	5	p	p	PROPN
cord-005350-19za0msu	262	6	0	0	NUM
cord-005350-19za0msu	262	7	=	=	NOUN
cord-005350-19za0msu	262	8	1/500	1/500	NUM
cord-005350-19za0msu	262	9	.	.	PUNCT
cord-005350-19za0msu	263	1	at	at	ADP
cord-005350-19za0msu	263	2	time	time	NOUN
cord-005350-19za0msu	263	3	t	t	PROPN
cord-005350-19za0msu	263	4	=	=	PROPN
cord-005350-19za0msu	263	5	30	30	NUM
cord-005350-19za0msu	263	6	,	,	PUNCT
cord-005350-19za0msu	263	7	the	the	DET
cord-005350-19za0msu	263	8	limiting	limiting	NOUN
cord-005350-19za0msu	263	9	case	case	NOUN
cord-005350-19za0msu	263	10	model	model	NOUN
cord-005350-19za0msu	263	11	predicts	predict	VERB
cord-005350-19za0msu	263	12	emergence	emergence	NOUN
cord-005350-19za0msu	263	13	.	.	PUNCT
cord-005350-19za0msu	264	1	again	again	ADV
cord-005350-19za0msu	264	2	,	,	PUNCT
cord-005350-19za0msu	264	3	the	the	DET
cord-005350-19za0msu	264	4	limit	limit	NOUN
cord-005350-19za0msu	264	5	case	case	NOUN
cord-005350-19za0msu	264	6	indicated	indicate	VERB
cord-005350-19za0msu	264	7	in	in	ADP
cord-005350-19za0msu	264	8	the	the	DET
cord-005350-19za0msu	264	9	figure	figure	NOUN
cord-005350-19za0msu	264	10	is	be	AUX
cord-005350-19za0msu	264	11	the	the	DET
cord-005350-19za0msu	264	12	limit	limit	NOUN
cord-005350-19za0msu	264	13	→	→	SYM
cord-005350-19za0msu	264	14	0	0	NUM
cord-005350-19za0msu	264	15	of	of	ADP
cord-005350-19za0msu	264	16	eq	eq	PROPN
cord-005350-19za0msu	264	17	.	.	PUNCT
cord-005350-19za0msu	265	1	(	(	PUNCT
cord-005350-19za0msu	265	2	3	3	NUM
cord-005350-19za0msu	265	3	)	)	PUNCT
cord-005350-19za0msu	265	4	,	,	PUNCT
cord-005350-19za0msu	265	5	not	not	PART
cord-005350-19za0msu	265	6	the	the	DET
cord-005350-19za0msu	265	7	η	η	NOUN
cord-005350-19za0msu	265	8	=	=	SYM
cord-005350-19za0msu	265	9	0	0	NUM
cord-005350-19za0msu	265	10	critical	critical	ADJ
cord-005350-19za0msu	265	11	case	case	NOUN
cord-005350-19za0msu	265	12	.	.	PUNCT
cord-005350-19za0msu	266	1	figure	figure	NOUN
cord-005350-19za0msu	266	2	4b	4b	PROPN
cord-005350-19za0msu	266	3	shows	show	VERB
cord-005350-19za0msu	266	4	a	a	DET
cord-005350-19za0msu	266	5	typical	typical	ADJ
cord-005350-19za0msu	266	6	realization	realization	NOUN
cord-005350-19za0msu	266	7	of	of	ADP
cord-005350-19za0msu	266	8	the	the	DET
cord-005350-19za0msu	266	9	stochastic	stochastic	ADJ
cord-005350-19za0msu	266	10	counterpart	counterpart	NOUN
cord-005350-19za0msu	266	11	of	of	ADP
cord-005350-19za0msu	266	12	the	the	DET
cord-005350-19za0msu	266	13	solution	solution	NOUN
cord-005350-19za0msu	266	14	shown	show	VERB
cord-005350-19za0msu	266	15	in	in	ADP
cord-005350-19za0msu	266	16	fig	fig	PROPN
cord-005350-19za0msu	266	17	.	.	PUNCT
cord-005350-19za0msu	267	1	4a	4a	NOUN
cord-005350-19za0msu	267	2	.	.	PUNCT
cord-005350-19za0msu	268	1	the	the	DET
cord-005350-19za0msu	268	2	delay	delay	NOUN
cord-005350-19za0msu	268	3	in	in	ADP
cord-005350-19za0msu	268	4	the	the	DET
cord-005350-19za0msu	268	5	take	take	NOUN
cord-005350-19za0msu	268	6	-	-	PUNCT
cord-005350-19za0msu	268	7	off	off	NOUN
cord-005350-19za0msu	268	8	of	of	ADP
cord-005350-19za0msu	268	9	the	the	DET
cord-005350-19za0msu	268	10	epidemic	epidemic	NOUN
cord-005350-19za0msu	268	11	is	be	AUX
cord-005350-19za0msu	268	12	apparent	apparent	ADJ
cord-005350-19za0msu	268	13	.	.	PUNCT
cord-005350-19za0msu	269	1	the	the	DET
cord-005350-19za0msu	269	2	rapid	rapid	ADJ
cord-005350-19za0msu	269	3	increase	increase	NOUN
cord-005350-19za0msu	269	4	in	in	ADP
cord-005350-19za0msu	269	5	the	the	DET
cord-005350-19za0msu	269	6	number	number	NOUN
cord-005350-19za0msu	269	7	of	of	ADP
cord-005350-19za0msu	269	8	cases	case	NOUN
cord-005350-19za0msu	269	9	,	,	PUNCT
cord-005350-19za0msu	269	10	is	be	AUX
cord-005350-19za0msu	269	11	preceded	precede	VERB
cord-005350-19za0msu	269	12	by	by	ADP
cord-005350-19za0msu	269	13	a	a	DET
cord-005350-19za0msu	269	14	low	low	ADJ
cord-005350-19za0msu	269	15	level	level	NOUN
cord-005350-19za0msu	269	16	of	of	ADP
cord-005350-19za0msu	269	17	incidence	incidence	NOUN
cord-005350-19za0msu	269	18	long	long	ADV
cord-005350-19za0msu	269	19	after	after	SCONJ
cord-005350-19za0msu	269	20	the	the	DET
cord-005350-19za0msu	269	21	transition	transition	NOUN
cord-005350-19za0msu	269	22	to	to	ADP
cord-005350-19za0msu	269	23	endemicity	endemicity	NOUN
cord-005350-19za0msu	269	24	has	have	AUX
cord-005350-19za0msu	269	25	occurred	occur	VERB
cord-005350-19za0msu	269	26	.	.	PUNCT
cord-005350-19za0msu	270	1	of	of	ADP
cord-005350-19za0msu	270	2	course	course	NOUN
cord-005350-19za0msu	270	3	,	,	PUNCT
cord-005350-19za0msu	270	4	the	the	DET
cord-005350-19za0msu	270	5	question	question	NOUN
cord-005350-19za0msu	270	6	is	be	AUX
cord-005350-19za0msu	270	7	,	,	PUNCT
cord-005350-19za0msu	270	8	does	do	AUX
cord-005350-19za0msu	270	9	the	the	DET
cord-005350-19za0msu	270	10	low	low	ADJ
cord-005350-19za0msu	270	11	level	level	NOUN
cord-005350-19za0msu	270	12	of	of	ADP
cord-005350-19za0msu	270	13	infection	infection	NOUN
cord-005350-19za0msu	270	14	in	in	ADP
cord-005350-19za0msu	270	15	the	the	DET
cord-005350-19za0msu	270	16	time	time	NOUN
cord-005350-19za0msu	270	17	series	series	NOUN
cord-005350-19za0msu	270	18	give	give	VERB
cord-005350-19za0msu	270	19	any	any	DET
cord-005350-19za0msu	270	20	clue	clue	NOUN
cord-005350-19za0msu	270	21	,	,	PUNCT
cord-005350-19za0msu	270	22	through	through	ADP
cord-005350-19za0msu	270	23	early	early	ADJ
cord-005350-19za0msu	270	24	warning	warning	NOUN
cord-005350-19za0msu	270	25	signals	signal	NOUN
cord-005350-19za0msu	270	26	,	,	PUNCT
cord-005350-19za0msu	270	27	of	of	ADP
cord-005350-19za0msu	270	28	the	the	DET
cord-005350-19za0msu	270	29	eventual	eventual	ADJ
cord-005350-19za0msu	270	30	rapid	rapid	ADJ
cord-005350-19za0msu	270	31	increase	increase	NOUN
cord-005350-19za0msu	270	32	of	of	ADP
cord-005350-19za0msu	270	33	infectious	infectious	ADJ
cord-005350-19za0msu	270	34	cohorts	cohort	NOUN
cord-005350-19za0msu	270	35	?	?	PUNCT
cord-005350-19za0msu	271	1	the	the	DET
cord-005350-19za0msu	271	2	transitions	transition	NOUN
cord-005350-19za0msu	271	3	to	to	PART
cord-005350-19za0msu	271	4	disease	disease	NOUN
cord-005350-19za0msu	271	5	elimination	elimination	NOUN
cord-005350-19za0msu	271	6	and	and	CCONJ
cord-005350-19za0msu	271	7	endemicity	endemicity	NOUN
cord-005350-19za0msu	271	8	in	in	ADP
cord-005350-19za0msu	271	9	the	the	DET
cord-005350-19za0msu	271	10	stochastic	stochastic	ADJ
cord-005350-19za0msu	271	11	sir	sir	NOUN
cord-005350-19za0msu	271	12	models	model	NOUN
cord-005350-19za0msu	271	13	with	with	ADP
cord-005350-19za0msu	271	14	gradually	gradually	ADV
cord-005350-19za0msu	271	15	changing	change	VERB
cord-005350-19za0msu	271	16	vaccination	vaccination	NOUN
cord-005350-19za0msu	271	17	uptake	uptake	NOUN
cord-005350-19za0msu	271	18	are	be	AUX
cord-005350-19za0msu	271	19	also	also	ADV
cord-005350-19za0msu	271	20	driven	drive	VERB
cord-005350-19za0msu	271	21	by	by	ADP
cord-005350-19za0msu	271	22	the	the	DET
cord-005350-19za0msu	271	23	mean	mean	ADJ
cord-005350-19za0msu	271	24	field	field	NOUN
cord-005350-19za0msu	271	25	fast	fast	ADV
cord-005350-19za0msu	271	26	-	-	PUNCT
cord-005350-19za0msu	271	27	slow	slow	ADJ
cord-005350-19za0msu	271	28	dynamics	dynamic	NOUN
cord-005350-19za0msu	271	29	.	.	PUNCT
cord-005350-19za0msu	272	1	to	to	PART
cord-005350-19za0msu	272	2	eradicate	eradicate	VERB
cord-005350-19za0msu	272	3	a	a	DET
cord-005350-19za0msu	272	4	disease	disease	NOUN
cord-005350-19za0msu	272	5	,	,	PUNCT
cord-005350-19za0msu	272	6	the	the	DET
cord-005350-19za0msu	272	7	effective	effective	ADJ
cord-005350-19za0msu	272	8	reproduction	reproduction	NOUN
cord-005350-19za0msu	272	9	number	number	NOUN
cord-005350-19za0msu	272	10	must	must	AUX
cord-005350-19za0msu	272	11	be	be	AUX
cord-005350-19za0msu	272	12	reduced	reduce	VERB
cord-005350-19za0msu	272	13	by	by	ADP
cord-005350-19za0msu	272	14	increasing	increase	VERB
cord-005350-19za0msu	272	15	the	the	DET
cord-005350-19za0msu	272	16	vaccination	vaccination	NOUN
cord-005350-19za0msu	272	17	uptake	uptake	NOUN
cord-005350-19za0msu	272	18	p.	p.	NOUN
cord-005350-19za0msu	272	19	figure	figure	NOUN
cord-005350-19za0msu	272	20	5a	5a	NUM
cord-005350-19za0msu	272	21	shows	show	VERB
cord-005350-19za0msu	272	22	a	a	DET
cord-005350-19za0msu	272	23	solution	solution	NOUN
cord-005350-19za0msu	272	24	of	of	ADP
cord-005350-19za0msu	272	25	the	the	DET
cord-005350-19za0msu	272	26	fast	fast	ADV
cord-005350-19za0msu	272	27	-	-	PUNCT
cord-005350-19za0msu	272	28	slow	slow	ADJ
cord-005350-19za0msu	272	29	system	system	NOUN
cord-005350-19za0msu	272	30	(	(	PUNCT
cord-005350-19za0msu	272	31	7	7	NUM
cord-005350-19za0msu	272	32	)	)	PUNCT
cord-005350-19za0msu	272	33	with	with	ADP
cord-005350-19za0msu	272	34	η	η	NOUN
cord-005350-19za0msu	272	35	=	=	NOUN
cord-005350-19za0msu	272	36	0	0	NUM
cord-005350-19za0msu	272	37	.	.	PUNCT
cord-005350-19za0msu	273	1	the	the	DET
cord-005350-19za0msu	273	2	mean	mean	ADJ
cord-005350-19za0msu	273	3	field	field	NOUN
cord-005350-19za0msu	273	4	→	→	SYM
cord-005350-19za0msu	273	5	0	0	NUM
cord-005350-19za0msu	273	6	theory	theory	NOUN
cord-005350-19za0msu	273	7	and	and	CCONJ
cord-005350-19za0msu	273	8	the	the	DET
cord-005350-19za0msu	273	9	solution	solution	NOUN
cord-005350-19za0msu	273	10	of	of	ADP
cord-005350-19za0msu	273	11	eq	eq	PROPN
cord-005350-19za0msu	273	12	.	.	PUNCT
cord-005350-19za0msu	274	1	(	(	PUNCT
cord-005350-19za0msu	274	2	7	7	X
cord-005350-19za0msu	274	3	)	)	PUNCT
cord-005350-19za0msu	274	4	agree	agree	VERB
cord-005350-19za0msu	274	5	closely	closely	ADV
cord-005350-19za0msu	274	6	.	.	PUNCT
cord-005350-19za0msu	275	1	the	the	DET
cord-005350-19za0msu	275	2	timing	timing	NOUN
cord-005350-19za0msu	275	3	of	of	ADP
cord-005350-19za0msu	275	4	the	the	DET
cord-005350-19za0msu	275	5	transcritical	transcritical	ADJ
cord-005350-19za0msu	275	6	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	275	7	in	in	ADP
cord-005350-19za0msu	275	8	the	the	DET
cord-005350-19za0msu	275	9	η	η	PROPN
cord-005350-19za0msu	275	10	=	=	SYM
cord-005350-19za0msu	275	11	0	0	NUM
cord-005350-19za0msu	275	12	model	model	NOUN
cord-005350-19za0msu	275	13	occurs	occur	VERB
cord-005350-19za0msu	275	14	at	at	ADP
cord-005350-19za0msu	275	15	t	t	PROPN
cord-005350-19za0msu	275	16	=	=	PROPN
cord-005350-19za0msu	275	17	470	470	NUM
cord-005350-19za0msu	275	18	,	,	PUNCT
cord-005350-19za0msu	275	19	and	and	CCONJ
cord-005350-19za0msu	275	20	the	the	DET
cord-005350-19za0msu	275	21	number	number	NOUN
cord-005350-19za0msu	275	22	of	of	ADP
cord-005350-19za0msu	275	23	infectious	infectious	ADJ
cord-005350-19za0msu	275	24	individuals	individual	NOUN
cord-005350-19za0msu	275	25	has	have	AUX
cord-005350-19za0msu	275	26	reached	reach	VERB
cord-005350-19za0msu	275	27	a	a	DET
cord-005350-19za0msu	275	28	low	low	ADJ
cord-005350-19za0msu	275	29	level	level	NOUN
cord-005350-19za0msu	275	30	by	by	ADP
cord-005350-19za0msu	275	31	this	this	DET
cord-005350-19za0msu	275	32	time	time	NOUN
cord-005350-19za0msu	275	33	.	.	PUNCT
cord-005350-19za0msu	276	1	figure	figure	NOUN
cord-005350-19za0msu	276	2	5b	5b	NUM
cord-005350-19za0msu	276	3	shows	show	VERB
cord-005350-19za0msu	276	4	a	a	DET
cord-005350-19za0msu	276	5	stochastic	stochastic	ADJ
cord-005350-19za0msu	276	6	realization	realization	NOUN
cord-005350-19za0msu	276	7	of	of	ADP
cord-005350-19za0msu	276	8	the	the	DET
cord-005350-19za0msu	276	9	sir	sir	PROPN
cord-005350-19za0msu	276	10	model	model	NOUN
cord-005350-19za0msu	276	11	with	with	ADP
cord-005350-19za0msu	276	12	immigration	immigration	NOUN
cord-005350-19za0msu	276	13	approaching	approach	VERB
cord-005350-19za0msu	276	14	elimination	elimination	NOUN
cord-005350-19za0msu	276	15	(	(	PUNCT
cord-005350-19za0msu	276	16	the	the	DET
cord-005350-19za0msu	276	17	details	detail	NOUN
cord-005350-19za0msu	276	18	of	of	ADP
cord-005350-19za0msu	276	19	the	the	DET
cord-005350-19za0msu	276	20	stochastic	stochastic	ADJ
cord-005350-19za0msu	276	21	process	process	NOUN
cord-005350-19za0msu	276	22	are	be	AUX
cord-005350-19za0msu	276	23	described	describe	VERB
cord-005350-19za0msu	276	24	in	in	ADP
cord-005350-19za0msu	276	25	table	table	NOUN
cord-005350-19za0msu	276	26	6	6	NUM
cord-005350-19za0msu	276	27	)	)	PUNCT
cord-005350-19za0msu	276	28	.	.	PUNCT
cord-005350-19za0msu	277	1	the	the	DET
cord-005350-19za0msu	277	2	infectious	infectious	ADJ
cord-005350-19za0msu	277	3	population	population	NOUN
cord-005350-19za0msu	277	4	exhibits	exhibit	NOUN
cord-005350-19za0msu	277	5	amplified	amplify	VERB
cord-005350-19za0msu	277	6	oscillations	oscillation	NOUN
cord-005350-19za0msu	277	7	,	,	PUNCT
cord-005350-19za0msu	277	8	unlike	unlike	ADP
cord-005350-19za0msu	277	9	the	the	DET
cord-005350-19za0msu	277	10	deterministic	deterministic	ADJ
cord-005350-19za0msu	277	11	trajectory	trajectory	NOUN
cord-005350-19za0msu	277	12	in	in	ADP
cord-005350-19za0msu	277	13	fig	fig	PROPN
cord-005350-19za0msu	277	14	.	.	PUNCT
cord-005350-19za0msu	278	1	5a	5a	NUM
cord-005350-19za0msu	278	2	.	.	PUNCT
cord-005350-19za0msu	279	1	demographic	demographic	ADJ
cord-005350-19za0msu	279	2	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	279	3	is	be	AUX
cord-005350-19za0msu	279	4	expected	expect	VERB
cord-005350-19za0msu	279	5	to	to	PART
cord-005350-19za0msu	279	6	excite	excite	VERB
cord-005350-19za0msu	279	7	the	the	DET
cord-005350-19za0msu	279	8	transient	transient	ADJ
cord-005350-19za0msu	279	9	oscillations	oscillation	NOUN
cord-005350-19za0msu	279	10	of	of	ADP
cord-005350-19za0msu	279	11	the	the	DET
cord-005350-19za0msu	279	12	sir	sir	PROPN
cord-005350-19za0msu	279	13	model	model	NOUN
cord-005350-19za0msu	279	14	(	(	PUNCT
cord-005350-19za0msu	279	15	bauch	bauch	INTJ
cord-005350-19za0msu	279	16	and	and	CCONJ
cord-005350-19za0msu	279	17	earn	earn	VERB
cord-005350-19za0msu	279	18	2003	2003	NUM
cord-005350-19za0msu	279	19	)	)	PUNCT
cord-005350-19za0msu	279	20	,	,	PUNCT
cord-005350-19za0msu	279	21	and	and	CCONJ
cord-005350-19za0msu	279	22	we	we	PRON
cord-005350-19za0msu	279	23	will	will	AUX
cord-005350-19za0msu	279	24	see	see	VERB
cord-005350-19za0msu	279	25	this	this	PRON
cord-005350-19za0msu	279	26	in	in	ADP
cord-005350-19za0msu	279	27	detail	detail	NOUN
cord-005350-19za0msu	279	28	later	later	ADV
cord-005350-19za0msu	279	29	when	when	SCONJ
cord-005350-19za0msu	279	30	we	we	PRON
cord-005350-19za0msu	279	31	examine	examine	VERB
cord-005350-19za0msu	279	32	the	the	DET
cord-005350-19za0msu	279	33	power	power	NOUN
cord-005350-19za0msu	279	34	spectrum	spectrum	NOUN
cord-005350-19za0msu	279	35	of	of	ADP
cord-005350-19za0msu	279	36	the	the	DET
cord-005350-19za0msu	279	37	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	279	38	.	.	PUNCT
cord-005350-19za0msu	280	1	on	on	ADP
cord-005350-19za0msu	280	2	the	the	DET
cord-005350-19za0msu	280	3	other	other	ADJ
cord-005350-19za0msu	280	4	hand	hand	NOUN
cord-005350-19za0msu	280	5	,	,	PUNCT
cord-005350-19za0msu	280	6	if	if	SCONJ
cord-005350-19za0msu	280	7	a	a	DET
cord-005350-19za0msu	280	8	disease	disease	NOUN
cord-005350-19za0msu	280	9	is	be	AUX
cord-005350-19za0msu	280	10	emerging	emerge	VERB
cord-005350-19za0msu	280	11	through	through	ADP
cord-005350-19za0msu	280	12	an	an	DET
cord-005350-19za0msu	280	13	increase	increase	NOUN
cord-005350-19za0msu	280	14	in	in	ADP
cord-005350-19za0msu	280	15	recruitment	recruitment	NOUN
cord-005350-19za0msu	280	16	into	into	ADP
cord-005350-19za0msu	280	17	the	the	DET
cord-005350-19za0msu	280	18	susceptible	susceptible	ADJ
cord-005350-19za0msu	280	19	class	class	NOUN
cord-005350-19za0msu	280	20	,	,	PUNCT
cord-005350-19za0msu	280	21	the	the	DET
cord-005350-19za0msu	280	22	effective	effective	ADJ
cord-005350-19za0msu	280	23	reproduction	reproduction	NOUN
cord-005350-19za0msu	280	24	number	number	NOUN
cord-005350-19za0msu	280	25	is	be	AUX
cord-005350-19za0msu	280	26	increasing	increase	VERB
cord-005350-19za0msu	280	27	.	.	PUNCT
cord-005350-19za0msu	281	1	figure	figure	NOUN
cord-005350-19za0msu	281	2	6a	6a	NOUN
cord-005350-19za0msu	281	3	shows	show	VERB
cord-005350-19za0msu	281	4	a	a	DET
cord-005350-19za0msu	281	5	solution	solution	NOUN
cord-005350-19za0msu	281	6	of	of	ADP
cord-005350-19za0msu	281	7	the	the	DET
cord-005350-19za0msu	281	8	fast	fast	ADV
cord-005350-19za0msu	281	9	-	-	PUNCT
cord-005350-19za0msu	281	10	slow	slow	ADJ
cord-005350-19za0msu	281	11	system	system	NOUN
cord-005350-19za0msu	281	12	(	(	PUNCT
cord-005350-19za0msu	281	13	7	7	NUM
cord-005350-19za0msu	281	14	)	)	PUNCT
cord-005350-19za0msu	281	15	table	table	NOUN
cord-005350-19za0msu	281	16	7	7	NUM
cord-005350-19za0msu	281	17	of	of	ADP
cord-005350-19za0msu	281	18	emergence	emergence	NOUN
cord-005350-19za0msu	281	19	.	.	PUNCT
cord-005350-19za0msu	282	1	after	after	ADP
cord-005350-19za0msu	282	2	the	the	DET
cord-005350-19za0msu	282	3	transcritical	transcritical	ADJ
cord-005350-19za0msu	282	4	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	282	5	,	,	PUNCT
cord-005350-19za0msu	282	6	the	the	DET
cord-005350-19za0msu	282	7	solution	solution	NOUN
cord-005350-19za0msu	282	8	of	of	ADP
cord-005350-19za0msu	282	9	the	the	DET
cord-005350-19za0msu	282	10	system	system	NOUN
cord-005350-19za0msu	282	11	does	do	AUX
cord-005350-19za0msu	282	12	not	not	PART
cord-005350-19za0msu	282	13	agree	agree	VERB
cord-005350-19za0msu	282	14	with	with	ADP
cord-005350-19za0msu	282	15	the	the	DET
cord-005350-19za0msu	282	16	stable	stable	ADJ
cord-005350-19za0msu	282	17	endemic	endemic	ADJ
cord-005350-19za0msu	282	18	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	282	19	at	at	ADP
cord-005350-19za0msu	282	20	time	time	NOUN
cord-005350-19za0msu	282	21	t	t	NOUN
cord-005350-19za0msu	282	22	until	until	ADP
cord-005350-19za0msu	282	23	approximately	approximately	ADV
cord-005350-19za0msu	282	24	t	t	PROPN
cord-005350-19za0msu	282	25	=	=	SYM
cord-005350-19za0msu	282	26	55	55	NUM
cord-005350-19za0msu	282	27	years	year	NOUN
cord-005350-19za0msu	282	28	.	.	PUNCT
cord-005350-19za0msu	283	1	the	the	DET
cord-005350-19za0msu	283	2	solution	solution	NOUN
cord-005350-19za0msu	283	3	grows	grow	VERB
cord-005350-19za0msu	283	4	more	more	ADV
cord-005350-19za0msu	283	5	slowly	slowly	ADV
cord-005350-19za0msu	283	6	than	than	ADP
cord-005350-19za0msu	283	7	the	the	DET
cord-005350-19za0msu	283	8	stable	stable	ADJ
cord-005350-19za0msu	283	9	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	283	10	.	.	PUNCT
cord-005350-19za0msu	284	1	the	the	DET
cord-005350-19za0msu	284	2	delay	delay	NOUN
cord-005350-19za0msu	284	3	in	in	ADP
cord-005350-19za0msu	284	4	the	the	DET
cord-005350-19za0msu	284	5	dynamics	dynamic	NOUN
cord-005350-19za0msu	284	6	is	be	AUX
cord-005350-19za0msu	284	7	also	also	ADV
cord-005350-19za0msu	284	8	exhibited	exhibit	VERB
cord-005350-19za0msu	284	9	by	by	ADP
cord-005350-19za0msu	284	10	stochastic	stochastic	ADJ
cord-005350-19za0msu	284	11	realizations	realization	NOUN
cord-005350-19za0msu	284	12	,	,	PUNCT
cord-005350-19za0msu	284	13	e.g.	e.g.	ADV
cord-005350-19za0msu	284	14	,	,	PUNCT
cord-005350-19za0msu	284	15	fig	fig	NOUN
cord-005350-19za0msu	284	16	.	.	PUNCT
cord-005350-19za0msu	285	1	6b	6b	NUM
cord-005350-19za0msu	285	2	.	.	PUNCT
cord-005350-19za0msu	286	1	outbreaks	outbreak	NOUN
cord-005350-19za0msu	286	2	remain	remain	VERB
cord-005350-19za0msu	286	3	small	small	ADJ
cord-005350-19za0msu	286	4	and	and	CCONJ
cord-005350-19za0msu	286	5	sporadic	sporadic	ADJ
cord-005350-19za0msu	286	6	for	for	ADP
cord-005350-19za0msu	286	7	at	at	ADV
cord-005350-19za0msu	286	8	least	least	ADV
cord-005350-19za0msu	286	9	10	10	NUM
cord-005350-19za0msu	286	10	years	year	NOUN
cord-005350-19za0msu	286	11	after	after	SCONJ
cord-005350-19za0msu	286	12	the	the	DET
cord-005350-19za0msu	286	13	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	286	14	has	have	AUX
cord-005350-19za0msu	286	15	occurred	occur	VERB
cord-005350-19za0msu	286	16	.	.	PUNCT
cord-005350-19za0msu	287	1	the	the	DET
cord-005350-19za0msu	287	2	delay	delay	NOUN
cord-005350-19za0msu	287	3	before	before	ADP
cord-005350-19za0msu	287	4	emergence	emergence	NOUN
cord-005350-19za0msu	287	5	arises	arise	VERB
cord-005350-19za0msu	287	6	because	because	SCONJ
cord-005350-19za0msu	287	7	the	the	DET
cord-005350-19za0msu	287	8	mean	mean	NOUN
cord-005350-19za0msu	287	9	predicted	predict	VERB
cord-005350-19za0msu	287	10	by	by	ADP
cord-005350-19za0msu	287	11	system	system	NOUN
cord-005350-19za0msu	287	12	(	(	PUNCT
cord-005350-19za0msu	287	13	7	7	NUM
cord-005350-19za0msu	287	14	)	)	PUNCT
cord-005350-19za0msu	287	15	remains	remain	VERB
cord-005350-19za0msu	287	16	small	small	ADJ
cord-005350-19za0msu	287	17	following	follow	VERB
cord-005350-19za0msu	287	18	the	the	DET
cord-005350-19za0msu	287	19	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	287	20	.	.	PUNCT
cord-005350-19za0msu	288	1	however	however	ADV
cord-005350-19za0msu	288	2	,	,	PUNCT
cord-005350-19za0msu	288	3	the	the	DET
cord-005350-19za0msu	288	4	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	288	5	delay	delay	NOUN
cord-005350-19za0msu	288	6	is	be	AUX
cord-005350-19za0msu	288	7	not	not	PART
cord-005350-19za0msu	288	8	as	as	ADV
cord-005350-19za0msu	288	9	marked	mark	VERB
cord-005350-19za0msu	288	10	as	as	ADP
cord-005350-19za0msu	288	11	that	that	PRON
cord-005350-19za0msu	288	12	in	in	ADP
cord-005350-19za0msu	288	13	the	the	DET
cord-005350-19za0msu	288	14	sis	sis	NOUN
cord-005350-19za0msu	288	15	model	model	NOUN
cord-005350-19za0msu	288	16	(	(	PUNCT
cord-005350-19za0msu	288	17	compare	compare	VERB
cord-005350-19za0msu	288	18	fig	fig	PROPN
cord-005350-19za0msu	288	19	.	.	PUNCT
cord-005350-19za0msu	289	1	4	4	NUM
cord-005350-19za0msu	289	2	with	with	ADP
cord-005350-19za0msu	289	3	fig	fig	NOUN
cord-005350-19za0msu	289	4	.	.	PUNCT
cord-005350-19za0msu	290	1	6	6	NUM
cord-005350-19za0msu	290	2	)	)	PUNCT
cord-005350-19za0msu	290	3	.	.	PUNCT
cord-005350-19za0msu	291	1	power	power	NOUN
cord-005350-19za0msu	291	2	spectrum	spectrum	NOUN
cord-005350-19za0msu	291	3	predictions	prediction	NOUN
cord-005350-19za0msu	291	4	figure	figure	VERB
cord-005350-19za0msu	291	5	7	7	NUM
cord-005350-19za0msu	291	6	compares	compare	VERB
cord-005350-19za0msu	291	7	the	the	DET
cord-005350-19za0msu	291	8	power	power	NOUN
cord-005350-19za0msu	291	9	spectra	spectra	NOUN
cord-005350-19za0msu	291	10	of	of	ADP
cord-005350-19za0msu	291	11	the	the	DET
cord-005350-19za0msu	291	12	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	291	13	in	in	ADP
cord-005350-19za0msu	291	14	the	the	DET
cord-005350-19za0msu	291	15	stable	stable	ADJ
cord-005350-19za0msu	291	16	models	model	NOUN
cord-005350-19za0msu	291	17	with	with	ADP
cord-005350-19za0msu	291	18	and	and	CCONJ
cord-005350-19za0msu	291	19	without	without	ADP
cord-005350-19za0msu	291	20	immigration	immigration	NOUN
cord-005350-19za0msu	291	21	.	.	PUNCT
cord-005350-19za0msu	292	1	the	the	DET
cord-005350-19za0msu	292	2	patterns	pattern	NOUN
cord-005350-19za0msu	292	3	in	in	ADP
cord-005350-19za0msu	292	4	the	the	DET
cord-005350-19za0msu	292	5	power	power	NOUN
cord-005350-19za0msu	292	6	spectra	spectra	NOUN
cord-005350-19za0msu	292	7	with	with	ADP
cord-005350-19za0msu	292	8	immigration	immigration	NOUN
cord-005350-19za0msu	292	9	(	(	PUNCT
cord-005350-19za0msu	292	10	fig	fig	NOUN
cord-005350-19za0msu	292	11	.	.	PUNCT
cord-005350-19za0msu	292	12	7c	7c	NUM
cord-005350-19za0msu	292	13	,	,	PUNCT
cord-005350-19za0msu	292	14	d	d	NOUN
cord-005350-19za0msu	292	15	)	)	PUNCT
cord-005350-19za0msu	292	16	and	and	CCONJ
cord-005350-19za0msu	292	17	without	without	ADP
cord-005350-19za0msu	292	18	(	(	PUNCT
cord-005350-19za0msu	292	19	fig	fig	NOUN
cord-005350-19za0msu	292	20	.	.	PUNCT
cord-005350-19za0msu	293	1	7a	7a	NUM
cord-005350-19za0msu	293	2	,	,	PUNCT
cord-005350-19za0msu	293	3	b	b	NOUN
cord-005350-19za0msu	293	4	)	)	PUNCT
cord-005350-19za0msu	293	5	are	be	AUX
cord-005350-19za0msu	293	6	similar	similar	ADJ
cord-005350-19za0msu	293	7	.	.	PUNCT
cord-005350-19za0msu	294	1	for	for	ADP
cord-005350-19za0msu	294	2	sis	sis	NOUN
cord-005350-19za0msu	294	3	systems	system	NOUN
cord-005350-19za0msu	294	4	with	with	ADP
cord-005350-19za0msu	294	5	low	low	ADJ
cord-005350-19za0msu	294	6	transmission	transmission	NOUN
cord-005350-19za0msu	294	7	rates	rate	NOUN
cord-005350-19za0msu	294	8	,	,	PUNCT
cord-005350-19za0msu	294	9	and	and	CCONJ
cord-005350-19za0msu	294	10	sir	sir	NOUN
cord-005350-19za0msu	294	11	models	model	NOUN
cord-005350-19za0msu	294	12	with	with	ADP
cord-005350-19za0msu	294	13	low	low	ADJ
cord-005350-19za0msu	294	14	recruitment	recruitment	NOUN
cord-005350-19za0msu	294	15	rate	rate	NOUN
cord-005350-19za0msu	294	16	into	into	ADP
cord-005350-19za0msu	294	17	the	the	DET
cord-005350-19za0msu	294	18	susceptible	susceptible	ADJ
cord-005350-19za0msu	294	19	class	class	NOUN
cord-005350-19za0msu	294	20	,	,	PUNCT
cord-005350-19za0msu	294	21	the	the	DET
cord-005350-19za0msu	294	22	power	power	NOUN
cord-005350-19za0msu	294	23	in	in	ADP
cord-005350-19za0msu	294	24	the	the	DET
cord-005350-19za0msu	294	25	peak	peak	NOUN
cord-005350-19za0msu	294	26	of	of	ADP
cord-005350-19za0msu	294	27	the	the	DET
cord-005350-19za0msu	294	28	spectrum	spectrum	NOUN
cord-005350-19za0msu	294	29	is	be	AUX
cord-005350-19za0msu	294	30	low	low	ADJ
cord-005350-19za0msu	294	31	.	.	PUNCT
cord-005350-19za0msu	295	1	the	the	DET
cord-005350-19za0msu	295	2	power	power	NOUN
cord-005350-19za0msu	295	3	spectrum	spectrum	NOUN
cord-005350-19za0msu	295	4	for	for	ADP
cord-005350-19za0msu	295	5	sis	sis	NOUN
cord-005350-19za0msu	295	6	and	and	CCONJ
cord-005350-19za0msu	295	7	table	table	NOUN
cord-005350-19za0msu	295	8	7	7	NUM
cord-005350-19za0msu	295	9	(	(	PUNCT
cord-005350-19za0msu	295	10	emergence	emergence	NOUN
cord-005350-19za0msu	295	11	parameters	parameter	NOUN
cord-005350-19za0msu	295	12	)	)	PUNCT
cord-005350-19za0msu	296	1	sir	sir	PROPN
cord-005350-19za0msu	296	2	systems	system	NOUN
cord-005350-19za0msu	296	3	is	be	AUX
cord-005350-19za0msu	296	4	expected	expect	VERB
cord-005350-19za0msu	296	5	to	to	PART
cord-005350-19za0msu	296	6	shift	shift	VERB
cord-005350-19za0msu	296	7	to	to	ADP
cord-005350-19za0msu	296	8	lower	low	ADJ
cord-005350-19za0msu	296	9	frequencies	frequency	NOUN
cord-005350-19za0msu	296	10	as	as	SCONJ
cord-005350-19za0msu	296	11	the	the	DET
cord-005350-19za0msu	296	12	pathogen	pathogen	PROPN
cord-005350-19za0msu	296	13	approaches	approach	VERB
cord-005350-19za0msu	296	14	extinction	extinction	NOUN
cord-005350-19za0msu	296	15	.	.	PUNCT
cord-005350-19za0msu	297	1	in	in	ADP
cord-005350-19za0msu	297	2	the	the	DET
cord-005350-19za0msu	297	3	sis	sis	NOUN
cord-005350-19za0msu	297	4	systems	system	NOUN
cord-005350-19za0msu	297	5	,	,	PUNCT
cord-005350-19za0msu	297	6	the	the	DET
cord-005350-19za0msu	297	7	power	power	NOUN
cord-005350-19za0msu	297	8	at	at	ADP
cord-005350-19za0msu	297	9	smallest	small	ADJ
cord-005350-19za0msu	297	10	frequencies	frequency	NOUN
cord-005350-19za0msu	297	11	increases	increase	VERB
cord-005350-19za0msu	297	12	as	as	SCONJ
cord-005350-19za0msu	297	13	the	the	DET
cord-005350-19za0msu	297	14	critical	critical	ADJ
cord-005350-19za0msu	297	15	point	point	NOUN
cord-005350-19za0msu	297	16	is	be	AUX
cord-005350-19za0msu	297	17	approached	approach	VERB
cord-005350-19za0msu	297	18	,	,	PUNCT
cord-005350-19za0msu	297	19	but	but	CCONJ
cord-005350-19za0msu	297	20	this	this	DET
cord-005350-19za0msu	297	21	effect	effect	NOUN
cord-005350-19za0msu	297	22	is	be	AUX
cord-005350-19za0msu	297	23	subtle	subtle	ADJ
cord-005350-19za0msu	297	24	.	.	PUNCT
cord-005350-19za0msu	298	1	in	in	ADP
cord-005350-19za0msu	298	2	contrast	contrast	NOUN
cord-005350-19za0msu	298	3	,	,	PUNCT
cord-005350-19za0msu	298	4	in	in	ADP
cord-005350-19za0msu	298	5	the	the	DET
cord-005350-19za0msu	298	6	sir	sir	PROPN
cord-005350-19za0msu	298	7	case	case	NOUN
cord-005350-19za0msu	298	8	,	,	PUNCT
cord-005350-19za0msu	298	9	there	there	PRON
cord-005350-19za0msu	298	10	is	be	VERB
cord-005350-19za0msu	298	11	a	a	DET
cord-005350-19za0msu	298	12	dramatic	dramatic	ADJ
cord-005350-19za0msu	298	13	reduction	reduction	NOUN
cord-005350-19za0msu	298	14	in	in	ADP
cord-005350-19za0msu	298	15	the	the	DET
cord-005350-19za0msu	298	16	frequency	frequency	NOUN
cord-005350-19za0msu	298	17	at	at	ADP
cord-005350-19za0msu	298	18	which	which	PRON
cord-005350-19za0msu	298	19	the	the	DET
cord-005350-19za0msu	298	20	highest	high	ADJ
cord-005350-19za0msu	298	21	power	power	NOUN
cord-005350-19za0msu	298	22	is	be	AUX
cord-005350-19za0msu	298	23	observed	observe	VERB
cord-005350-19za0msu	298	24	.	.	PUNCT
cord-005350-19za0msu	299	1	the	the	DET
cord-005350-19za0msu	299	2	approach	approach	NOUN
cord-005350-19za0msu	299	3	to	to	ADP
cord-005350-19za0msu	299	4	endemicity	endemicity	NOUN
cord-005350-19za0msu	299	5	is	be	AUX
cord-005350-19za0msu	299	6	expected	expect	VERB
cord-005350-19za0msu	299	7	to	to	PART
cord-005350-19za0msu	299	8	be	be	AUX
cord-005350-19za0msu	299	9	indicated	indicate	VERB
cord-005350-19za0msu	299	10	by	by	ADP
cord-005350-19za0msu	299	11	a	a	DET
cord-005350-19za0msu	299	12	shift	shift	NOUN
cord-005350-19za0msu	299	13	to	to	ADP
cord-005350-19za0msu	299	14	higher	high	ADJ
cord-005350-19za0msu	299	15	frequencies	frequency	NOUN
cord-005350-19za0msu	299	16	in	in	ADP
cord-005350-19za0msu	299	17	the	the	DET
cord-005350-19za0msu	299	18	power	power	NOUN
cord-005350-19za0msu	299	19	spectrum	spectrum	NOUN
cord-005350-19za0msu	299	20	.	.	PUNCT
cord-005350-19za0msu	300	1	in	in	ADP
cord-005350-19za0msu	300	2	the	the	DET
cord-005350-19za0msu	300	3	sis	sis	NOUN
cord-005350-19za0msu	300	4	model	model	NOUN
cord-005350-19za0msu	300	5	,	,	PUNCT
cord-005350-19za0msu	300	6	the	the	DET
cord-005350-19za0msu	300	7	spectrum	spectrum	NOUN
cord-005350-19za0msu	300	8	encompasses	encompass	VERB
cord-005350-19za0msu	300	9	a	a	DET
cord-005350-19za0msu	300	10	broader	broad	ADJ
cord-005350-19za0msu	300	11	range	range	NOUN
cord-005350-19za0msu	300	12	of	of	ADP
cord-005350-19za0msu	300	13	frequencies	frequency	NOUN
cord-005350-19za0msu	300	14	as	as	SCONJ
cord-005350-19za0msu	300	15	emergence	emergence	NOUN
cord-005350-19za0msu	300	16	is	be	AUX
cord-005350-19za0msu	300	17	approached	approach	VERB
cord-005350-19za0msu	300	18	.	.	PUNCT
cord-005350-19za0msu	301	1	on	on	ADP
cord-005350-19za0msu	301	2	the	the	DET
cord-005350-19za0msu	301	3	other	other	ADJ
cord-005350-19za0msu	301	4	hand	hand	NOUN
cord-005350-19za0msu	301	5	,	,	PUNCT
cord-005350-19za0msu	301	6	in	in	ADP
cord-005350-19za0msu	301	7	subcritical	subcritical	ADJ
cord-005350-19za0msu	301	8	sir	sir	PROPN
cord-005350-19za0msu	301	9	limiting	limiting	NOUN
cord-005350-19za0msu	301	10	case	case	NOUN
cord-005350-19za0msu	301	11	→	→	SYM
cord-005350-19za0msu	301	12	0	0	NUM
cord-005350-19za0msu	301	13	prediction	prediction	NOUN
cord-005350-19za0msu	301	14	for	for	ADP
cord-005350-19za0msu	301	15	the	the	DET
cord-005350-19za0msu	301	16	power	power	NOUN
cord-005350-19za0msu	301	17	spectrum	spectrum	NOUN
cord-005350-19za0msu	301	18	for	for	ADP
cord-005350-19za0msu	301	19	the	the	DET
cord-005350-19za0msu	301	20	models	model	NOUN
cord-005350-19za0msu	301	21	with	with	ADP
cord-005350-19za0msu	301	22	and	and	CCONJ
cord-005350-19za0msu	301	23	without	without	ADP
cord-005350-19za0msu	301	24	immigration	immigration	NOUN
cord-005350-19za0msu	301	25	.	.	PUNCT
cord-005350-19za0msu	302	1	the	the	DET
cord-005350-19za0msu	302	2	predictions	prediction	NOUN
cord-005350-19za0msu	302	3	for	for	ADP
cord-005350-19za0msu	302	4	η	η	X
cord-005350-19za0msu	302	5	>	>	X
cord-005350-19za0msu	302	6	0	0	PUNCT
cord-005350-19za0msu	302	7	agree	agree	VERB
cord-005350-19za0msu	302	8	closely	closely	ADV
cord-005350-19za0msu	302	9	with	with	ADP
cord-005350-19za0msu	302	10	those	those	PRON
cord-005350-19za0msu	302	11	generated	generate	VERB
cord-005350-19za0msu	302	12	from	from	ADP
cord-005350-19za0msu	302	13	the	the	DET
cord-005350-19za0msu	302	14	η	η	PROPN
cord-005350-19za0msu	302	15	=	=	SYM
cord-005350-19za0msu	302	16	0	0	NUM
cord-005350-19za0msu	302	17	models	model	NOUN
cord-005350-19za0msu	302	18	.	.	PUNCT
cord-005350-19za0msu	303	1	in	in	ADP
cord-005350-19za0msu	303	2	the	the	DET
cord-005350-19za0msu	303	3	sis	sis	NOUN
cord-005350-19za0msu	303	4	case	case	NOUN
cord-005350-19za0msu	303	5	,	,	PUNCT
cord-005350-19za0msu	303	6	the	the	DET
cord-005350-19za0msu	303	7	power	power	NOUN
cord-005350-19za0msu	303	8	at	at	ADP
cord-005350-19za0msu	303	9	smallest	small	ADJ
cord-005350-19za0msu	303	10	frequencies	frequency	NOUN
cord-005350-19za0msu	303	11	increases	increase	VERB
cord-005350-19za0msu	303	12	as	as	SCONJ
cord-005350-19za0msu	303	13	the	the	DET
cord-005350-19za0msu	303	14	critical	critical	ADJ
cord-005350-19za0msu	303	15	point	point	NOUN
cord-005350-19za0msu	303	16	is	be	AUX
cord-005350-19za0msu	303	17	approached	approach	VERB
cord-005350-19za0msu	303	18	,	,	PUNCT
cord-005350-19za0msu	303	19	but	but	CCONJ
cord-005350-19za0msu	303	20	this	this	DET
cord-005350-19za0msu	303	21	effect	effect	NOUN
cord-005350-19za0msu	303	22	is	be	AUX
cord-005350-19za0msu	303	23	subtle	subtle	ADJ
cord-005350-19za0msu	303	24	,	,	PUNCT
cord-005350-19za0msu	303	25	whereas	whereas	SCONJ
cord-005350-19za0msu	303	26	in	in	ADP
cord-005350-19za0msu	303	27	the	the	DET
cord-005350-19za0msu	303	28	sir	sir	PROPN
cord-005350-19za0msu	303	29	case	case	NOUN
cord-005350-19za0msu	303	30	,	,	PUNCT
cord-005350-19za0msu	303	31	there	there	PRON
cord-005350-19za0msu	303	32	is	be	VERB
cord-005350-19za0msu	303	33	a	a	DET
cord-005350-19za0msu	303	34	dramatic	dramatic	ADJ
cord-005350-19za0msu	303	35	reduction	reduction	NOUN
cord-005350-19za0msu	303	36	in	in	ADP
cord-005350-19za0msu	303	37	the	the	DET
cord-005350-19za0msu	303	38	frequency	frequency	NOUN
cord-005350-19za0msu	303	39	at	at	ADP
cord-005350-19za0msu	303	40	which	which	PRON
cord-005350-19za0msu	303	41	the	the	DET
cord-005350-19za0msu	303	42	highest	high	ADJ
cord-005350-19za0msu	303	43	power	power	NOUN
cord-005350-19za0msu	303	44	is	be	AUX
cord-005350-19za0msu	303	45	observed	observe	VERB
cord-005350-19za0msu	303	46	.	.	PUNCT
cord-005350-19za0msu	304	1	each	each	DET
cord-005350-19za0msu	304	2	power	power	NOUN
cord-005350-19za0msu	304	3	spectrum	spectrum	NOUN
cord-005350-19za0msu	304	4	is	be	AUX
cord-005350-19za0msu	304	5	evaluated	evaluate	VERB
cord-005350-19za0msu	304	6	about	about	ADP
cord-005350-19za0msu	304	7	the	the	DET
cord-005350-19za0msu	304	8	mean	mean	ADJ
cord-005350-19za0msu	304	9	field	field	NOUN
cord-005350-19za0msu	304	10	infectious	infectious	ADJ
cord-005350-19za0msu	304	11	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	304	12	ϕ	ϕ	NOUN
cord-005350-19za0msu	304	13	*	*	PUNCT
cord-005350-19za0msu	304	14	,	,	PUNCT
cord-005350-19za0msu	304	15	given	give	VERB
cord-005350-19za0msu	304	16	in	in	ADP
cord-005350-19za0msu	304	17	tables	table	NOUN
cord-005350-19za0msu	304	18	8	8	NUM
cord-005350-19za0msu	304	19	and	and	CCONJ
cord-005350-19za0msu	304	20	9	9	NUM
cord-005350-19za0msu	304	21	.	.	PUNCT
cord-005350-19za0msu	305	1	the	the	DET
cord-005350-19za0msu	305	2	parameters	parameter	NOUN
cord-005350-19za0msu	305	3	used	use	VERB
cord-005350-19za0msu	305	4	to	to	PART
cord-005350-19za0msu	305	5	calculate	calculate	VERB
cord-005350-19za0msu	305	6	the	the	DET
cord-005350-19za0msu	305	7	power	power	NOUN
cord-005350-19za0msu	305	8	spectrum	spectrum	NOUN
cord-005350-19za0msu	305	9	are	be	AUX
cord-005350-19za0msu	305	10	given	give	VERB
cord-005350-19za0msu	305	11	in	in	ADP
cord-005350-19za0msu	305	12	table	table	NOUN
cord-005350-19za0msu	305	13	7	7	NUM
cord-005350-19za0msu	305	14	.	.	PUNCT
cord-005350-19za0msu	306	1	importation	importation	NOUN
cord-005350-19za0msu	306	2	,	,	PUNCT
cord-005350-19za0msu	306	3	vaccination	vaccination	NOUN
cord-005350-19za0msu	306	4	uptake	uptake	NOUN
cord-005350-19za0msu	306	5	,	,	PUNCT
cord-005350-19za0msu	306	6	and	and	CCONJ
cord-005350-19za0msu	306	7	population	population	NOUN
cord-005350-19za0msu	306	8	sizes	size	NOUN
cord-005350-19za0msu	306	9	were	be	AUX
cord-005350-19za0msu	306	10	chosen	choose	VERB
cord-005350-19za0msu	306	11	according	accord	VERB
cord-005350-19za0msu	306	12	to	to	ADP
cord-005350-19za0msu	306	13	the	the	DET
cord-005350-19za0msu	306	14	elimination	elimination	NOUN
cord-005350-19za0msu	306	15	scenario	scenario	NOUN
cord-005350-19za0msu	306	16	.	.	PUNCT
cord-005350-19za0msu	307	1	the	the	DET
cord-005350-19za0msu	307	2	power	power	NOUN
cord-005350-19za0msu	307	3	spectrum	spectrum	NOUN
cord-005350-19za0msu	307	4	has	have	AUX
cord-005350-19za0msu	307	5	been	be	AUX
cord-005350-19za0msu	307	6	log	log	NOUN
cord-005350-19za0msu	307	7	-	-	PUNCT
cord-005350-19za0msu	307	8	transformed	transform	VERB
cord-005350-19za0msu	307	9	for	for	ADP
cord-005350-19za0msu	307	10	clarity	clarity	NOUN
cord-005350-19za0msu	307	11	systems	system	NOUN
cord-005350-19za0msu	307	12	approaching	approach	VERB
cord-005350-19za0msu	307	13	endemicity	endemicity	NOUN
cord-005350-19za0msu	307	14	,	,	PUNCT
cord-005350-19za0msu	307	15	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	307	16	should	should	AUX
cord-005350-19za0msu	307	17	become	become	VERB
cord-005350-19za0msu	307	18	less	less	ADV
cord-005350-19za0msu	307	19	noisy	noisy	ADJ
cord-005350-19za0msu	307	20	as	as	SCONJ
cord-005350-19za0msu	307	21	the	the	DET
cord-005350-19za0msu	307	22	threshold	threshold	NOUN
cord-005350-19za0msu	307	23	is	be	AUX
cord-005350-19za0msu	307	24	approached	approach	VERB
cord-005350-19za0msu	307	25	.	.	PUNCT
cord-005350-19za0msu	308	1	the	the	DET
cord-005350-19za0msu	308	2	power	power	NOUN
cord-005350-19za0msu	308	3	spectrum	spectrum	NOUN
cord-005350-19za0msu	308	4	transforms	transform	VERB
cord-005350-19za0msu	308	5	from	from	ADP
cord-005350-19za0msu	308	6	a	a	DET
cord-005350-19za0msu	308	7	flat	flat	ADJ
cord-005350-19za0msu	308	8	"	"	PUNCT
cord-005350-19za0msu	308	9	white	white	ADJ
cord-005350-19za0msu	308	10	-	-	PUNCT
cord-005350-19za0msu	308	11	noise	noise	NOUN
cord-005350-19za0msu	308	12	"	"	PUNCT
cord-005350-19za0msu	308	13	spectrum	spectrum	NOUN
cord-005350-19za0msu	308	14	in	in	ADP
cord-005350-19za0msu	308	15	the	the	DET
cord-005350-19za0msu	308	16	subcritical	subcritical	ADJ
cord-005350-19za0msu	308	17	scenario	scenario	NOUN
cord-005350-19za0msu	308	18	to	to	ADP
cord-005350-19za0msu	308	19	a	a	DET
cord-005350-19za0msu	308	20	spectrum	spectrum	NOUN
cord-005350-19za0msu	308	21	exhibiting	exhibit	VERB
cord-005350-19za0msu	308	22	resonant	resonant	ADJ
cord-005350-19za0msu	308	23	peaks	peak	NOUN
cord-005350-19za0msu	308	24	for	for	ADP
cord-005350-19za0msu	308	25	sufficiently	sufficiently	ADV
cord-005350-19za0msu	308	26	decreased	decrease	VERB
cord-005350-19za0msu	308	27	vaccination	vaccination	NOUN
cord-005350-19za0msu	308	28	uptake	uptake	NOUN
cord-005350-19za0msu	308	29	.	.	PUNCT
cord-005350-19za0msu	309	1	oscillations	oscillation	NOUN
cord-005350-19za0msu	309	2	are	be	AUX
cord-005350-19za0msu	309	3	expected	expect	VERB
cord-005350-19za0msu	309	4	to	to	PART
cord-005350-19za0msu	309	5	be	be	AUX
cord-005350-19za0msu	309	6	amplified	amplify	VERB
cord-005350-19za0msu	309	7	at	at	ADP
cord-005350-19za0msu	309	8	these	these	DET
cord-005350-19za0msu	309	9	resonant	resonant	ADJ
cord-005350-19za0msu	309	10	frequencies	frequency	NOUN
cord-005350-19za0msu	309	11	.	.	PUNCT
cord-005350-19za0msu	310	1	it	it	PRON
cord-005350-19za0msu	310	2	has	have	AUX
cord-005350-19za0msu	310	3	been	be	AUX
cord-005350-19za0msu	310	4	shown	show	VERB
cord-005350-19za0msu	310	5	that	that	SCONJ
cord-005350-19za0msu	310	6	complex	complex	ADJ
cord-005350-19za0msu	310	7	eigenvalues	eigenvalue	NOUN
cord-005350-19za0msu	310	8	of	of	ADP
cord-005350-19za0msu	310	9	the	the	DET
cord-005350-19za0msu	310	10	jacobian	jacobian	ADJ
cord-005350-19za0msu	310	11	matrix	matrix	NOUN
cord-005350-19za0msu	310	12	of	of	ADP
cord-005350-19za0msu	310	13	system	system	NOUN
cord-005350-19za0msu	310	14	(	(	PUNCT
cord-005350-19za0msu	310	15	6	6	NUM
cord-005350-19za0msu	310	16	)	)	PUNCT
cord-005350-19za0msu	310	17	guarantee	guarantee	VERB
cord-005350-19za0msu	310	18	the	the	DET
cord-005350-19za0msu	310	19	existence	existence	NOUN
cord-005350-19za0msu	310	20	of	of	ADP
cord-005350-19za0msu	310	21	the	the	DET
cord-005350-19za0msu	310	22	power	power	NOUN
cord-005350-19za0msu	310	23	spectrum	spectrum	NOUN
cord-005350-19za0msu	310	24	peak	peak	NOUN
cord-005350-19za0msu	310	25	(	(	PUNCT
cord-005350-19za0msu	310	26	alonso	alonso	PROPN
cord-005350-19za0msu	310	27	et	et	PROPN
cord-005350-19za0msu	310	28	al	al	PROPN
cord-005350-19za0msu	310	29	.	.	PROPN
cord-005350-19za0msu	310	30	2007	2007	NUM
cord-005350-19za0msu	310	31	)	)	PUNCT
cord-005350-19za0msu	310	32	.	.	PUNCT
cord-005350-19za0msu	311	1	systems	system	NOUN
cord-005350-19za0msu	311	2	approaching	approach	VERB
cord-005350-19za0msu	311	3	a	a	DET
cord-005350-19za0msu	311	4	critical	critical	ADJ
cord-005350-19za0msu	311	5	transition	transition	NOUN
cord-005350-19za0msu	311	6	are	be	AUX
cord-005350-19za0msu	311	7	expected	expect	VERB
cord-005350-19za0msu	311	8	to	to	PART
cord-005350-19za0msu	311	9	exhibit	exhibit	VERB
cord-005350-19za0msu	311	10	rising	rise	VERB
cord-005350-19za0msu	311	11	variance	variance	NOUN
cord-005350-19za0msu	311	12	and	and	CCONJ
cord-005350-19za0msu	311	13	rising	rise	VERB
cord-005350-19za0msu	311	14	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	311	15	(	(	PUNCT
cord-005350-19za0msu	311	16	scheffer	scheffer	PROPN
cord-005350-19za0msu	311	17	2009	2009	NUM
cord-005350-19za0msu	311	18	)	)	PUNCT
cord-005350-19za0msu	311	19	.	.	PUNCT
cord-005350-19za0msu	312	1	in	in	ADP
cord-005350-19za0msu	312	2	general	general	ADJ
cord-005350-19za0msu	312	3	,	,	PUNCT
cord-005350-19za0msu	312	4	the	the	DET
cord-005350-19za0msu	312	5	predictions	prediction	NOUN
cord-005350-19za0msu	312	6	for	for	ADP
cord-005350-19za0msu	312	7	the	the	DET
cord-005350-19za0msu	312	8	leading	lead	VERB
cord-005350-19za0msu	312	9	indicators	indicator	NOUN
cord-005350-19za0msu	312	10	of	of	ADP
cord-005350-19za0msu	312	11	sis	sis	NOUN
cord-005350-19za0msu	312	12	disease	disease	NOUN
cord-005350-19za0msu	312	13	elimination	elimination	NOUN
cord-005350-19za0msu	312	14	follow	follow	VERB
cord-005350-19za0msu	312	15	these	these	DET
cord-005350-19za0msu	312	16	expectations	expectation	NOUN
cord-005350-19za0msu	312	17	for	for	ADP
cord-005350-19za0msu	312	18	one	one	NUM
cord-005350-19za0msu	312	19	-	-	PUNCT
cord-005350-19za0msu	312	20	dimensional	dimensional	ADJ
cord-005350-19za0msu	312	21	stochastic	stochastic	NOUN
cord-005350-19za0msu	312	22	systems	system	NOUN
cord-005350-19za0msu	312	23	.	.	PUNCT
cord-005350-19za0msu	313	1	figure	figure	NOUN
cord-005350-19za0msu	313	2	8a	8a	NUM
cord-005350-19za0msu	313	3	-c	-c	PUNCT
cord-005350-19za0msu	313	4	shows	show	VERB
cord-005350-19za0msu	313	5	the	the	DET
cord-005350-19za0msu	313	6	leading	lead	VERB
cord-005350-19za0msu	313	7	indicators	indicator	NOUN
cord-005350-19za0msu	313	8	of	of	ADP
cord-005350-19za0msu	313	9	elimination	elimination	NOUN
cord-005350-19za0msu	313	10	for	for	ADP
cord-005350-19za0msu	313	11	the	the	DET
cord-005350-19za0msu	313	12	sis	sis	NOUN
cord-005350-19za0msu	313	13	model	model	NOUN
cord-005350-19za0msu	313	14	.	.	PUNCT
cord-005350-19za0msu	314	1	as	as	SCONJ
cord-005350-19za0msu	314	2	the	the	DET
cord-005350-19za0msu	314	3	threshold	threshold	NOUN
cord-005350-19za0msu	314	4	to	to	ADP
cord-005350-19za0msu	314	5	pathogen	pathogen	PROPN
cord-005350-19za0msu	314	6	extinction	extinction	NOUN
cord-005350-19za0msu	314	7	is	be	AUX
cord-005350-19za0msu	314	8	approached	approach	VERB
cord-005350-19za0msu	314	9	by	by	ADP
cord-005350-19za0msu	314	10	gradually	gradually	ADV
cord-005350-19za0msu	314	11	increasing	increase	VERB
cord-005350-19za0msu	314	12	the	the	DET
cord-005350-19za0msu	314	13	vaccination	vaccination	NOUN
cord-005350-19za0msu	314	14	uptake	uptake	NOUN
cord-005350-19za0msu	314	15	,	,	PUNCT
cord-005350-19za0msu	314	16	all	all	PRON
cord-005350-19za0msu	314	17	of	of	ADP
cord-005350-19za0msu	314	18	the	the	DET
cord-005350-19za0msu	314	19	statistics	statistic	NOUN
cord-005350-19za0msu	314	20	evaluated	evaluate	VERB
cord-005350-19za0msu	314	21	about	about	ADP
cord-005350-19za0msu	314	22	the	the	DET
cord-005350-19za0msu	314	23	endemic	endemic	ADJ
cord-005350-19za0msu	314	24	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	314	25	of	of	ADP
cord-005350-19za0msu	314	26	the	the	DET
cord-005350-19za0msu	314	27	stable	stable	ADJ
cord-005350-19za0msu	314	28	system	system	NOUN
cord-005350-19za0msu	314	29	increase	increase	NOUN
cord-005350-19za0msu	314	30	as	as	SCONJ
cord-005350-19za0msu	314	31	the	the	DET
cord-005350-19za0msu	314	32	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	314	33	parameter	parameter	NOUN
cord-005350-19za0msu	314	34	is	be	AUX
cord-005350-19za0msu	314	35	increased	increase	VERB
cord-005350-19za0msu	314	36	,	,	PUNCT
cord-005350-19za0msu	314	37	as	as	SCONJ
cord-005350-19za0msu	314	38	expected	expect	VERB
cord-005350-19za0msu	314	39	from	from	ADP
cord-005350-19za0msu	314	40	the	the	DET
cord-005350-19za0msu	314	41	analytical	analytical	ADJ
cord-005350-19za0msu	314	42	formulas	formula	NOUN
cord-005350-19za0msu	314	43	for	for	ADP
cord-005350-19za0msu	314	44	the	the	DET
cord-005350-19za0msu	314	45	limiting	limiting	NOUN
cord-005350-19za0msu	314	46	case	case	NOUN
cord-005350-19za0msu	314	47	(	(	PUNCT
cord-005350-19za0msu	314	48	table	table	NOUN
cord-005350-19za0msu	314	49	4	4	NUM
cord-005350-19za0msu	314	50	)	)	PUNCT
cord-005350-19za0msu	314	51	.	.	PUNCT
cord-005350-19za0msu	315	1	the	the	DET
cord-005350-19za0msu	315	2	lag-1	lag-1	PUNCT
cord-005350-19za0msu	315	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	315	4	rises	rise	VERB
cord-005350-19za0msu	315	5	,	,	PUNCT
cord-005350-19za0msu	315	6	indicating	indicate	VERB
cord-005350-19za0msu	315	7	an	an	DET
cord-005350-19za0msu	315	8	increase	increase	NOUN
cord-005350-19za0msu	315	9	in	in	ADP
cord-005350-19za0msu	315	10	system	system	NOUN
cord-005350-19za0msu	315	11	memory	memory	NOUN
cord-005350-19za0msu	315	12	,	,	PUNCT
cord-005350-19za0msu	315	13	and	and	CCONJ
cord-005350-19za0msu	315	14	the	the	DET
cord-005350-19za0msu	315	15	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	315	16	variance	variance	NOUN
cord-005350-19za0msu	315	17	increases	increase	VERB
cord-005350-19za0msu	315	18	,	,	PUNCT
cord-005350-19za0msu	315	19	as	as	SCONJ
cord-005350-19za0msu	315	20	suggested	suggest	VERB
cord-005350-19za0msu	315	21	by	by	ADP
cord-005350-19za0msu	315	22	the	the	DET
cord-005350-19za0msu	315	23	plot	plot	NOUN
cord-005350-19za0msu	315	24	of	of	ADP
cord-005350-19za0msu	315	25	the	the	DET
cord-005350-19za0msu	315	26	power	power	NOUN
cord-005350-19za0msu	315	27	spectrum	spectrum	NOUN
cord-005350-19za0msu	315	28	for	for	ADP
cord-005350-19za0msu	315	29	increasing	increase	VERB
cord-005350-19za0msu	315	30	vaccination	vaccination	NOUN
cord-005350-19za0msu	315	31	uptake	uptake	NOUN
cord-005350-19za0msu	315	32	values	value	NOUN
cord-005350-19za0msu	315	33	.	.	PUNCT
cord-005350-19za0msu	316	1	the	the	DET
cord-005350-19za0msu	316	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	316	3	of	of	ADP
cord-005350-19za0msu	316	4	variation	variation	NOUN
cord-005350-19za0msu	316	5	also	also	ADV
cord-005350-19za0msu	316	6	increases	increase	VERB
cord-005350-19za0msu	316	7	,	,	PUNCT
cord-005350-19za0msu	316	8	indicating	indicate	VERB
cord-005350-19za0msu	316	9	that	that	SCONJ
cord-005350-19za0msu	316	10	infectious	infectious	ADJ
cord-005350-19za0msu	316	11	time	time	NOUN
cord-005350-19za0msu	316	12	series	series	NOUN
cord-005350-19za0msu	316	13	should	should	AUX
cord-005350-19za0msu	316	14	become	become	VERB
cord-005350-19za0msu	316	15	noisier	noisy	ADJ
cord-005350-19za0msu	316	16	as	as	SCONJ
cord-005350-19za0msu	316	17	the	the	DET
cord-005350-19za0msu	316	18	transition	transition	NOUN
cord-005350-19za0msu	316	19	is	be	AUX
cord-005350-19za0msu	316	20	approached	approach	VERB
cord-005350-19za0msu	316	21	.	.	PUNCT
cord-005350-19za0msu	317	1	the	the	DET
cord-005350-19za0msu	317	2	signal	signal	ADJ
cord-005350-19za0msu	317	3	predictions	prediction	NOUN
cord-005350-19za0msu	317	4	for	for	ADP
cord-005350-19za0msu	317	5	the	the	DET
cord-005350-19za0msu	317	6	sis	sis	NOUN
cord-005350-19za0msu	317	7	systems	system	NOUN
cord-005350-19za0msu	317	8	with	with	ADP
cord-005350-19za0msu	317	9	and	and	CCONJ
cord-005350-19za0msu	317	10	without	without	ADP
cord-005350-19za0msu	317	11	immigration	immigration	NOUN
cord-005350-19za0msu	317	12	in	in	ADP
cord-005350-19za0msu	317	13	the	the	DET
cord-005350-19za0msu	317	14	limit	limit	NOUN
cord-005350-19za0msu	317	15	case	case	NOUN
cord-005350-19za0msu	317	16	→	→	ADP
cord-005350-19za0msu	317	17	0	0	PUNCT
cord-005350-19za0msu	317	18	(	(	PUNCT
cord-005350-19za0msu	317	19	in	in	ADP
cord-005350-19za0msu	317	20	green	green	NOUN
cord-005350-19za0msu	317	21	)	)	PUNCT
cord-005350-19za0msu	317	22	are	be	AUX
cord-005350-19za0msu	317	23	in	in	ADP
cord-005350-19za0msu	317	24	close	close	ADJ
cord-005350-19za0msu	317	25	agreement	agreement	NOUN
cord-005350-19za0msu	317	26	,	,	PUNCT
cord-005350-19za0msu	317	27	which	which	PRON
cord-005350-19za0msu	317	28	makes	make	VERB
cord-005350-19za0msu	317	29	sense	sense	NOUN
cord-005350-19za0msu	317	30	from	from	ADP
cord-005350-19za0msu	317	31	the	the	DET
cord-005350-19za0msu	317	32	analytical	analytical	ADJ
cord-005350-19za0msu	317	33	formulae	formulae	NOUN
cord-005350-19za0msu	317	34	,	,	PUNCT
cord-005350-19za0msu	317	35	provided	provide	VERB
cord-005350-19za0msu	317	36	η	η	NOUN
cord-005350-19za0msu	317	37	is	be	AUX
cord-005350-19za0msu	317	38	small	small	ADJ
cord-005350-19za0msu	317	39	.	.	PUNCT
cord-005350-19za0msu	318	1	to	to	PART
cord-005350-19za0msu	318	2	examine	examine	VERB
cord-005350-19za0msu	318	3	how	how	SCONJ
cord-005350-19za0msu	318	4	different	different	ADJ
cord-005350-19za0msu	318	5	changes	change	NOUN
cord-005350-19za0msu	318	6	in	in	ADP
cord-005350-19za0msu	318	7	vaccination	vaccination	NOUN
cord-005350-19za0msu	318	8	uptake	uptake	NOUN
cord-005350-19za0msu	318	9	p	p	PROPN
cord-005350-19za0msu	318	10	0	0	NUM
cord-005350-19za0msu	318	11	in	in	ADP
cord-005350-19za0msu	318	12	the	the	DET
cord-005350-19za0msu	318	13	fast	fast	ADV
cord-005350-19za0msu	318	14	-	-	PUNCT
cord-005350-19za0msu	318	15	slow	slow	ADJ
cord-005350-19za0msu	318	16	model	model	NOUN
cord-005350-19za0msu	318	17	with	with	ADP
cord-005350-19za0msu	318	18	immigration	immigration	NOUN
cord-005350-19za0msu	318	19	affect	affect	VERB
cord-005350-19za0msu	318	20	the	the	DET
cord-005350-19za0msu	318	21	statistics	statistic	NOUN
cord-005350-19za0msu	318	22	,	,	PUNCT
cord-005350-19za0msu	318	23	we	we	PRON
cord-005350-19za0msu	318	24	varied	vary	VERB
cord-005350-19za0msu	318	25	p	p	NOUN
cord-005350-19za0msu	318	26	0	0	NUM
cord-005350-19za0msu	318	27	by	by	ADP
cord-005350-19za0msu	318	28	1/500	1/500	NUM
cord-005350-19za0msu	318	29	and	and	CCONJ
cord-005350-19za0msu	318	30	1/30	1/30	NUM
cord-005350-19za0msu	318	31	year	year	NOUN
cord-005350-19za0msu	318	32	−1	−1	NOUN
cord-005350-19za0msu	318	33	.	.	PUNCT
cord-005350-19za0msu	319	1	predictions	prediction	NOUN
cord-005350-19za0msu	319	2	are	be	AUX
cord-005350-19za0msu	319	3	in	in	ADP
cord-005350-19za0msu	319	4	close	close	ADJ
cord-005350-19za0msu	319	5	agreement	agreement	NOUN
cord-005350-19za0msu	319	6	far	far	ADV
cord-005350-19za0msu	319	7	from	from	ADP
cord-005350-19za0msu	319	8	the	the	DET
cord-005350-19za0msu	319	9	η	η	NOUN
cord-005350-19za0msu	319	10	=	=	SYM
cord-005350-19za0msu	319	11	0	0	NUM
cord-005350-19za0msu	319	12	critical	critical	ADJ
cord-005350-19za0msu	319	13	point	point	NOUN
cord-005350-19za0msu	319	14	but	but	CCONJ
cord-005350-19za0msu	319	15	they	they	PRON
cord-005350-19za0msu	319	16	differ	differ	VERB
cord-005350-19za0msu	319	17	close	close	ADV
cord-005350-19za0msu	319	18	to	to	ADP
cord-005350-19za0msu	319	19	it	it	PRON
cord-005350-19za0msu	319	20	.	.	PUNCT
cord-005350-19za0msu	320	1	the	the	DET
cord-005350-19za0msu	320	2	statistics	statistic	NOUN
cord-005350-19za0msu	320	3	evaluated	evaluate	VERB
cord-005350-19za0msu	320	4	about	about	ADP
cord-005350-19za0msu	320	5	the	the	DET
cord-005350-19za0msu	320	6	endemic	endemic	ADJ
cord-005350-19za0msu	320	7	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	320	8	the	the	DET
cord-005350-19za0msu	320	9	current	current	ADJ
cord-005350-19za0msu	320	10	state	state	NOUN
cord-005350-19za0msu	320	11	of	of	ADP
cord-005350-19za0msu	320	12	the	the	DET
cord-005350-19za0msu	320	13	mean	mean	ADJ
cord-005350-19za0msu	320	14	field	field	NOUN
cord-005350-19za0msu	320	15	fast	fast	ADV
cord-005350-19za0msu	320	16	-	-	PUNCT
cord-005350-19za0msu	320	17	slow	slow	ADJ
cord-005350-19za0msu	320	18	system	system	NOUN
cord-005350-19za0msu	320	19	are	be	AUX
cord-005350-19za0msu	320	20	shown	show	VERB
cord-005350-19za0msu	320	21	in	in	ADP
cord-005350-19za0msu	320	22	blue	blue	PROPN
cord-005350-19za0msu	320	23	(	(	PUNCT
cord-005350-19za0msu	320	24	dotted	dot	VERB
cord-005350-19za0msu	320	25	)	)	PUNCT
cord-005350-19za0msu	320	26	and	and	CCONJ
cord-005350-19za0msu	320	27	black	black	ADJ
cord-005350-19za0msu	320	28	lines	line	NOUN
cord-005350-19za0msu	320	29	.	.	PUNCT
cord-005350-19za0msu	321	1	the	the	DET
cord-005350-19za0msu	321	2	gray	gray	ADJ
cord-005350-19za0msu	321	3	dashed	dash	VERB
cord-005350-19za0msu	321	4	line	line	NOUN
cord-005350-19za0msu	321	5	indicates	indicate	VERB
cord-005350-19za0msu	321	6	the	the	DET
cord-005350-19za0msu	321	7	location	location	NOUN
cord-005350-19za0msu	321	8	of	of	ADP
cord-005350-19za0msu	321	9	the	the	DET
cord-005350-19za0msu	321	10	critical	critical	ADJ
cord-005350-19za0msu	321	11	point	point	NOUN
cord-005350-19za0msu	321	12	when	when	SCONJ
cord-005350-19za0msu	321	13	η	η	PROPN
cord-005350-19za0msu	321	14	=	=	NOUN
cord-005350-19za0msu	321	15	0	0	NUM
cord-005350-19za0msu	321	16	.	.	PUNCT
cord-005350-19za0msu	322	1	the	the	DET
cord-005350-19za0msu	322	2	theoretical	theoretical	ADJ
cord-005350-19za0msu	322	3	predictions	prediction	NOUN
cord-005350-19za0msu	322	4	in	in	ADP
cord-005350-19za0msu	322	5	the	the	DET
cord-005350-19za0msu	322	6	η	η	X
cord-005350-19za0msu	322	7	>	>	X
cord-005350-19za0msu	322	8	0	0	PUNCT
cord-005350-19za0msu	322	9	sis	sis	NOUN
cord-005350-19za0msu	322	10	case	case	NOUN
cord-005350-19za0msu	322	11	are	be	AUX
cord-005350-19za0msu	322	12	not	not	PART
cord-005350-19za0msu	322	13	as	as	ADV
cord-005350-19za0msu	322	14	dramatic	dramatic	ADJ
cord-005350-19za0msu	322	15	as	as	SCONJ
cord-005350-19za0msu	322	16	one	one	NUM
cord-005350-19za0msu	322	17	expects	expect	VERB
cord-005350-19za0msu	322	18	from	from	ADP
cord-005350-19za0msu	322	19	the	the	DET
cord-005350-19za0msu	322	20	limit	limit	NOUN
cord-005350-19za0msu	322	21	case	case	NOUN
cord-005350-19za0msu	322	22	but	but	CCONJ
cord-005350-19za0msu	322	23	are	be	AUX
cord-005350-19za0msu	322	24	qualitatively	qualitatively	ADV
cord-005350-19za0msu	322	25	consistent	consistent	ADJ
cord-005350-19za0msu	322	26	with	with	ADP
cord-005350-19za0msu	322	27	standard	standard	ADJ
cord-005350-19za0msu	322	28	expectations	expectation	NOUN
cord-005350-19za0msu	322	29	,	,	PUNCT
cord-005350-19za0msu	322	30	unlike	unlike	ADP
cord-005350-19za0msu	322	31	the	the	DET
cord-005350-19za0msu	322	32	sir	sir	PROPN
cord-005350-19za0msu	322	33	limit	limit	NOUN
cord-005350-19za0msu	322	34	case	case	NOUN
cord-005350-19za0msu	322	35	predictions	prediction	NOUN
cord-005350-19za0msu	322	36	,	,	PUNCT
cord-005350-19za0msu	322	37	which	which	PRON
cord-005350-19za0msu	322	38	do	do	AUX
cord-005350-19za0msu	322	39	not	not	PART
cord-005350-19za0msu	322	40	conform	conform	VERB
cord-005350-19za0msu	322	41	with	with	ADP
cord-005350-19za0msu	322	42	standard	standard	ADJ
cord-005350-19za0msu	322	43	expectations	expectation	NOUN
cord-005350-19za0msu	322	44	.	.	PUNCT
cord-005350-19za0msu	323	1	the	the	DET
cord-005350-19za0msu	323	2	variance	variance	NOUN
cord-005350-19za0msu	323	3	in	in	ADP
cord-005350-19za0msu	323	4	the	the	DET
cord-005350-19za0msu	323	5	sir	sir	PROPN
cord-005350-19za0msu	323	6	case	case	NOUN
cord-005350-19za0msu	323	7	is	be	AUX
cord-005350-19za0msu	323	8	predicted	predict	VERB
cord-005350-19za0msu	323	9	to	to	PART
cord-005350-19za0msu	323	10	decline	decline	VERB
cord-005350-19za0msu	323	11	,	,	PUNCT
cord-005350-19za0msu	323	12	which	which	PRON
cord-005350-19za0msu	323	13	is	be	AUX
cord-005350-19za0msu	323	14	not	not	PART
cord-005350-19za0msu	323	15	unexpected	unexpected	ADJ
cord-005350-19za0msu	323	16	here	here	ADV
cord-005350-19za0msu	323	17	,	,	PUNCT
cord-005350-19za0msu	323	18	but	but	CCONJ
cord-005350-19za0msu	323	19	does	do	AUX
cord-005350-19za0msu	323	20	not	not	PART
cord-005350-19za0msu	323	21	conform	conform	VERB
cord-005350-19za0msu	323	22	to	to	ADP
cord-005350-19za0msu	323	23	standard	standard	ADJ
cord-005350-19za0msu	323	24	expectations	expectation	NOUN
cord-005350-19za0msu	323	25	.	.	PUNCT
cord-005350-19za0msu	324	1	the	the	DET
cord-005350-19za0msu	324	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	324	3	of	of	ADP
cord-005350-19za0msu	324	4	variation	variation	NOUN
cord-005350-19za0msu	324	5	increases	increase	VERB
cord-005350-19za0msu	324	6	as	as	SCONJ
cord-005350-19za0msu	324	7	the	the	DET
cord-005350-19za0msu	324	8	critical	critical	ADJ
cord-005350-19za0msu	324	9	point	point	NOUN
cord-005350-19za0msu	324	10	is	be	AUX
cord-005350-19za0msu	324	11	approached	approach	VERB
cord-005350-19za0msu	324	12	,	,	PUNCT
cord-005350-19za0msu	324	13	but	but	CCONJ
cord-005350-19za0msu	324	14	the	the	DET
cord-005350-19za0msu	324	15	increase	increase	NOUN
cord-005350-19za0msu	324	16	is	be	AUX
cord-005350-19za0msu	324	17	not	not	PART
cord-005350-19za0msu	324	18	as	as	ADV
cord-005350-19za0msu	324	19	dramatic	dramatic	ADJ
cord-005350-19za0msu	324	20	as	as	SCONJ
cord-005350-19za0msu	324	21	one	one	PRON
cord-005350-19za0msu	324	22	may	may	AUX
cord-005350-19za0msu	324	23	expect	expect	VERB
cord-005350-19za0msu	324	24	from	from	ADP
cord-005350-19za0msu	324	25	the	the	DET
cord-005350-19za0msu	324	26	limiting	limiting	NOUN
cord-005350-19za0msu	324	27	case	case	NOUN
cord-005350-19za0msu	324	28	.	.	PUNCT
cord-005350-19za0msu	325	1	in	in	ADP
cord-005350-19za0msu	325	2	contrast	contrast	NOUN
cord-005350-19za0msu	325	3	to	to	ADP
cord-005350-19za0msu	325	4	expectations	expectation	NOUN
cord-005350-19za0msu	325	5	,	,	PUNCT
cord-005350-19za0msu	325	6	the	the	DET
cord-005350-19za0msu	325	7	lag-1	lag-1	PUNCT
cord-005350-19za0msu	325	8	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	325	9	is	be	AUX
cord-005350-19za0msu	325	10	predicted	predict	VERB
cord-005350-19za0msu	325	11	to	to	PART
cord-005350-19za0msu	325	12	decline	decline	VERB
cord-005350-19za0msu	325	13	close	close	ADV
cord-005350-19za0msu	325	14	to	to	ADP
cord-005350-19za0msu	325	15	the	the	DET
cord-005350-19za0msu	325	16	critical	critical	ADJ
cord-005350-19za0msu	325	17	point	point	NOUN
cord-005350-19za0msu	325	18	if	if	SCONJ
cord-005350-19za0msu	325	19	η	η	X
cord-005350-19za0msu	325	20	>	>	PUNCT
cord-005350-19za0msu	325	21	0	0	NUM
cord-005350-19za0msu	325	22	.	.	PUNCT
cord-005350-19za0msu	326	1	the	the	DET
cord-005350-19za0msu	326	2	predictions	prediction	NOUN
cord-005350-19za0msu	326	3	for	for	ADP
cord-005350-19za0msu	326	4	the	the	DET
cord-005350-19za0msu	326	5	statistics	statistic	NOUN
cord-005350-19za0msu	326	6	evaluated	evaluate	VERB
cord-005350-19za0msu	326	7	about	about	ADP
cord-005350-19za0msu	326	8	the	the	DET
cord-005350-19za0msu	326	9	current	current	ADJ
cord-005350-19za0msu	326	10	state	state	NOUN
cord-005350-19za0msu	326	11	of	of	ADP
cord-005350-19za0msu	326	12	the	the	DET
cord-005350-19za0msu	326	13	fast	fast	ADV
cord-005350-19za0msu	326	14	-	-	PUNCT
cord-005350-19za0msu	326	15	slow	slow	ADJ
cord-005350-19za0msu	326	16	system	system	NOUN
cord-005350-19za0msu	326	17	differ	differ	VERB
cord-005350-19za0msu	326	18	from	from	ADP
cord-005350-19za0msu	326	19	those	those	PRON
cord-005350-19za0msu	326	20	evaluated	evaluate	VERB
cord-005350-19za0msu	326	21	about	about	ADP
cord-005350-19za0msu	326	22	the	the	DET
cord-005350-19za0msu	326	23	endemic	endemic	ADJ
cord-005350-19za0msu	326	24	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	326	25	.	.	PUNCT
cord-005350-19za0msu	327	1	even	even	ADV
cord-005350-19za0msu	327	2	if	if	SCONJ
cord-005350-19za0msu	327	3	p	p	PROPN
cord-005350-19za0msu	327	4	0	0	NUM
cord-005350-19za0msu	327	5	=	=	SYM
cord-005350-19za0msu	327	6	1/500	1/500	NUM
cord-005350-19za0msu	327	7	year	year	NOUN
cord-005350-19za0msu	327	8	−1	−1	NOUN
cord-005350-19za0msu	327	9	,	,	PUNCT
cord-005350-19za0msu	327	10	there	there	PRON
cord-005350-19za0msu	327	11	are	be	VERB
cord-005350-19za0msu	327	12	discrepancies	discrepancy	NOUN
cord-005350-19za0msu	327	13	in	in	ADP
cord-005350-19za0msu	327	14	the	the	DET
cord-005350-19za0msu	327	15	predictions	prediction	NOUN
cord-005350-19za0msu	327	16	near	near	ADP
cord-005350-19za0msu	327	17	the	the	DET
cord-005350-19za0msu	327	18	transcritical	transcritical	ADJ
cord-005350-19za0msu	327	19	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	327	20	point	point	NOUN
cord-005350-19za0msu	327	21	.	.	PUNCT
cord-005350-19za0msu	328	1	the	the	DET
cord-005350-19za0msu	328	2	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	328	3	of	of	ADP
cord-005350-19za0msu	328	4	the	the	DET
cord-005350-19za0msu	328	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	328	6	with	with	ADP
cord-005350-19za0msu	328	7	a	a	DET
cord-005350-19za0msu	328	8	lag	lag	NOUN
cord-005350-19za0msu	328	9	of	of	ADP
cord-005350-19za0msu	328	10	1	1	NUM
cord-005350-19za0msu	328	11	year	year	NOUN
cord-005350-19za0msu	328	12	is	be	AUX
cord-005350-19za0msu	328	13	shown	show	VERB
cord-005350-19za0msu	328	14	,	,	PUNCT
cord-005350-19za0msu	328	15	and	and	CCONJ
cord-005350-19za0msu	328	16	the	the	DET
cord-005350-19za0msu	328	17	variance	variance	NOUN
cord-005350-19za0msu	328	18	shown	show	VERB
cord-005350-19za0msu	328	19	is	be	AUX
cord-005350-19za0msu	328	20	the	the	DET
cord-005350-19za0msu	328	21	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	328	22	variance	variance	NOUN
cord-005350-19za0msu	328	23	.	.	PUNCT
cord-005350-19za0msu	329	1	all	all	DET
cord-005350-19za0msu	329	2	calculations	calculation	NOUN
cord-005350-19za0msu	329	3	used	use	VERB
cord-005350-19za0msu	329	4	the	the	DET
cord-005350-19za0msu	329	5	parameter	parameter	NOUN
cord-005350-19za0msu	329	6	values	value	NOUN
cord-005350-19za0msu	329	7	in	in	ADP
cord-005350-19za0msu	329	8	table	table	NOUN
cord-005350-19za0msu	329	9	7	7	NUM
cord-005350-19za0msu	329	10	sir	sir	NOUN
cord-005350-19za0msu	329	11	leading	lead	VERB
cord-005350-19za0msu	329	12	indicator	indicator	PROPN
cord-005350-19za0msu	329	13	predictions	prediction	VERB
cord-005350-19za0msu	329	14	leading	lead	VERB
cord-005350-19za0msu	329	15	indicators	indicator	NOUN
cord-005350-19za0msu	329	16	for	for	ADP
cord-005350-19za0msu	329	17	sir	sir	PROPN
cord-005350-19za0msu	329	18	systems	system	NOUN
cord-005350-19za0msu	329	19	approaching	approach	VERB
cord-005350-19za0msu	329	20	elimination	elimination	NOUN
cord-005350-19za0msu	329	21	(	(	PUNCT
cord-005350-19za0msu	329	22	fig	fig	NOUN
cord-005350-19za0msu	329	23	.	.	PUNCT
cord-005350-19za0msu	330	1	8d	8d	PROPN
cord-005350-19za0msu	330	2	-	-	PUNCT
cord-005350-19za0msu	330	3	f	f	PROPN
cord-005350-19za0msu	330	4	)	)	PUNCT
cord-005350-19za0msu	330	5	are	be	AUX
cord-005350-19za0msu	330	6	not	not	PART
cord-005350-19za0msu	330	7	always	always	ADV
cord-005350-19za0msu	330	8	consistent	consistent	ADJ
cord-005350-19za0msu	330	9	with	with	ADP
cord-005350-19za0msu	330	10	the	the	DET
cord-005350-19za0msu	330	11	standard	standard	ADJ
cord-005350-19za0msu	330	12	expectations	expectation	NOUN
cord-005350-19za0msu	330	13	of	of	ADP
cord-005350-19za0msu	330	14	increasing	increase	VERB
cord-005350-19za0msu	330	15	variance	variance	NOUN
cord-005350-19za0msu	330	16	,	,	PUNCT
cord-005350-19za0msu	330	17	increasing	increase	VERB
cord-005350-19za0msu	330	18	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	330	19	,	,	PUNCT
cord-005350-19za0msu	330	20	and	and	CCONJ
cord-005350-19za0msu	330	21	increasing	increase	VERB
cord-005350-19za0msu	330	22	coefficient	coefficient	NOUN
cord-005350-19za0msu	330	23	of	of	ADP
cord-005350-19za0msu	330	24	variation	variation	NOUN
cord-005350-19za0msu	330	25	.	.	PUNCT
cord-005350-19za0msu	331	1	in	in	ADP
cord-005350-19za0msu	331	2	addition	addition	NOUN
cord-005350-19za0msu	331	3	,	,	PUNCT
cord-005350-19za0msu	331	4	the	the	DET
cord-005350-19za0msu	331	5	predictions	prediction	NOUN
cord-005350-19za0msu	331	6	for	for	ADP
cord-005350-19za0msu	331	7	the	the	DET
cord-005350-19za0msu	331	8	leading	lead	VERB
cord-005350-19za0msu	331	9	indicators	indicator	NOUN
cord-005350-19za0msu	331	10	of	of	ADP
cord-005350-19za0msu	331	11	sir	sir	PROPN
cord-005350-19za0msu	331	12	disease	disease	PROPN
cord-005350-19za0msu	331	13	elimination	elimination	NOUN
cord-005350-19za0msu	331	14	evaluated	evaluate	VERB
cord-005350-19za0msu	331	15	about	about	ADP
cord-005350-19za0msu	331	16	the	the	DET
cord-005350-19za0msu	331	17	endemic	endemic	ADJ
cord-005350-19za0msu	331	18	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	331	19	of	of	ADP
cord-005350-19za0msu	331	20	the	the	DET
cord-005350-19za0msu	331	21	stable	stable	ADJ
cord-005350-19za0msu	331	22	system	system	NOUN
cord-005350-19za0msu	331	23	behave	behave	VERB
cord-005350-19za0msu	331	24	differently	differently	ADV
cord-005350-19za0msu	331	25	to	to	ADP
cord-005350-19za0msu	331	26	sis	sis	PROPN
cord-005350-19za0msu	331	27	leading	lead	VERB
cord-005350-19za0msu	331	28	indicators	indicator	NOUN
cord-005350-19za0msu	331	29	,	,	PUNCT
cord-005350-19za0msu	331	30	due	due	ADP
cord-005350-19za0msu	331	31	to	to	ADP
cord-005350-19za0msu	331	32	the	the	DET
cord-005350-19za0msu	331	33	presence	presence	NOUN
cord-005350-19za0msu	331	34	of	of	ADP
cord-005350-19za0msu	331	35	resonant	resonant	ADJ
cord-005350-19za0msu	331	36	frequencies	frequency	NOUN
cord-005350-19za0msu	331	37	.	.	PUNCT
cord-005350-19za0msu	332	1	as	as	SCONJ
cord-005350-19za0msu	332	2	the	the	DET
cord-005350-19za0msu	332	3	threshold	threshold	NOUN
cord-005350-19za0msu	332	4	to	to	PART
cord-005350-19za0msu	332	5	elimination	elimination	NOUN
cord-005350-19za0msu	332	6	is	be	AUX
cord-005350-19za0msu	332	7	approached	approach	VERB
cord-005350-19za0msu	332	8	,	,	PUNCT
cord-005350-19za0msu	332	9	the	the	DET
cord-005350-19za0msu	332	10	lag-1	lag-1	PUNCT
cord-005350-19za0msu	332	11	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	332	12	increases	increase	NOUN
cord-005350-19za0msu	332	13	with	with	ADP
cord-005350-19za0msu	332	14	vaccination	vaccination	NOUN
cord-005350-19za0msu	332	15	uptake	uptake	NOUN
cord-005350-19za0msu	332	16	,	,	PUNCT
cord-005350-19za0msu	332	17	indicating	indicate	VERB
cord-005350-19za0msu	332	18	an	an	DET
cord-005350-19za0msu	332	19	increase	increase	NOUN
cord-005350-19za0msu	332	20	in	in	ADP
cord-005350-19za0msu	332	21	system	system	NOUN
cord-005350-19za0msu	332	22	memory	memory	NOUN
cord-005350-19za0msu	332	23	,	,	PUNCT
cord-005350-19za0msu	332	24	but	but	CCONJ
cord-005350-19za0msu	332	25	in	in	ADP
cord-005350-19za0msu	332	26	contrast	contrast	NOUN
cord-005350-19za0msu	332	27	to	to	ADP
cord-005350-19za0msu	332	28	the	the	DET
cord-005350-19za0msu	332	29	sis	sis	PROPN
cord-005350-19za0msu	332	30	model	model	NOUN
cord-005350-19za0msu	332	31	,	,	PUNCT
cord-005350-19za0msu	332	32	the	the	DET
cord-005350-19za0msu	332	33	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	332	34	variance	variance	NOUN
cord-005350-19za0msu	332	35	declines	decline	VERB
cord-005350-19za0msu	332	36	.	.	PUNCT
cord-005350-19za0msu	333	1	we	we	PRON
cord-005350-19za0msu	333	2	observe	observe	VERB
cord-005350-19za0msu	333	3	in	in	ADP
cord-005350-19za0msu	333	4	fig	fig	PROPN
cord-005350-19za0msu	333	5	.	.	PUNCT
cord-005350-19za0msu	334	1	7b	7b	NUM
cord-005350-19za0msu	334	2	,	,	PUNCT
cord-005350-19za0msu	334	3	d	d	X
cord-005350-19za0msu	334	4	that	that	SCONJ
cord-005350-19za0msu	334	5	the	the	DET
cord-005350-19za0msu	334	6	area	area	NOUN
cord-005350-19za0msu	334	7	under	under	ADP
cord-005350-19za0msu	334	8	the	the	DET
cord-005350-19za0msu	334	9	power	power	NOUN
cord-005350-19za0msu	334	10	spectrum	spectrum	NOUN
cord-005350-19za0msu	334	11	declines	decline	VERB
cord-005350-19za0msu	334	12	as	as	ADP
cord-005350-19za0msu	334	13	vaccination	vaccination	NOUN
cord-005350-19za0msu	334	14	uptake	uptake	NOUN
cord-005350-19za0msu	334	15	increases	increase	VERB
cord-005350-19za0msu	334	16	,	,	PUNCT
cord-005350-19za0msu	334	17	particularly	particularly	ADV
cord-005350-19za0msu	334	18	in	in	ADP
cord-005350-19za0msu	334	19	the	the	DET
cord-005350-19za0msu	334	20	model	model	NOUN
cord-005350-19za0msu	334	21	with	with	ADP
cord-005350-19za0msu	334	22	η	η	PROPN
cord-005350-19za0msu	334	23	>	>	X
cord-005350-19za0msu	334	24	0	0	NUM
cord-005350-19za0msu	334	25	,	,	PUNCT
cord-005350-19za0msu	334	26	where	where	SCONJ
cord-005350-19za0msu	334	27	the	the	DET
cord-005350-19za0msu	334	28	height	height	NOUN
cord-005350-19za0msu	334	29	of	of	ADP
cord-005350-19za0msu	334	30	the	the	DET
cord-005350-19za0msu	334	31	peak	peak	NOUN
cord-005350-19za0msu	334	32	of	of	ADP
cord-005350-19za0msu	334	33	the	the	DET
cord-005350-19za0msu	334	34	power	power	NOUN
cord-005350-19za0msu	334	35	spectrum	spectrum	NOUN
cord-005350-19za0msu	334	36	,	,	PUNCT
cord-005350-19za0msu	334	37	which	which	PRON
cord-005350-19za0msu	334	38	reflects	reflect	VERB
cord-005350-19za0msu	334	39	amplification	amplification	NOUN
cord-005350-19za0msu	334	40	of	of	ADP
cord-005350-19za0msu	334	41	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	334	42	,	,	PUNCT
cord-005350-19za0msu	334	43	declines	decline	VERB
cord-005350-19za0msu	334	44	close	close	ADV
cord-005350-19za0msu	334	45	to	to	ADP
cord-005350-19za0msu	334	46	the	the	DET
cord-005350-19za0msu	334	47	transition	transition	NOUN
cord-005350-19za0msu	334	48	.	.	PUNCT
cord-005350-19za0msu	335	1	the	the	DET
cord-005350-19za0msu	335	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	335	3	of	of	ADP
cord-005350-19za0msu	335	4	variation	variation	NOUN
cord-005350-19za0msu	335	5	also	also	ADV
cord-005350-19za0msu	335	6	increases	increase	VERB
cord-005350-19za0msu	335	7	,	,	PUNCT
cord-005350-19za0msu	335	8	indicating	indicate	VERB
cord-005350-19za0msu	335	9	that	that	SCONJ
cord-005350-19za0msu	335	10	infectious	infectious	ADJ
cord-005350-19za0msu	335	11	time	time	NOUN
cord-005350-19za0msu	335	12	series	series	NOUN
cord-005350-19za0msu	335	13	should	should	AUX
cord-005350-19za0msu	335	14	become	become	VERB
cord-005350-19za0msu	335	15	noisier	noisy	ADJ
cord-005350-19za0msu	335	16	as	as	SCONJ
cord-005350-19za0msu	335	17	the	the	DET
cord-005350-19za0msu	335	18	transition	transition	NOUN
cord-005350-19za0msu	335	19	is	be	AUX
cord-005350-19za0msu	335	20	approached	approach	VERB
cord-005350-19za0msu	335	21	but	but	CCONJ
cord-005350-19za0msu	335	22	does	do	VERB
cord-005350-19za0msu	335	23	so	so	ADV
cord-005350-19za0msu	335	24	more	more	ADV
cord-005350-19za0msu	335	25	dramatically	dramatically	ADV
cord-005350-19za0msu	335	26	in	in	ADP
cord-005350-19za0msu	335	27	the	the	DET
cord-005350-19za0msu	335	28	model	model	NOUN
cord-005350-19za0msu	335	29	without	without	ADP
cord-005350-19za0msu	335	30	immigration	immigration	NOUN
cord-005350-19za0msu	335	31	,	,	PUNCT
cord-005350-19za0msu	335	32	because	because	SCONJ
cord-005350-19za0msu	335	33	the	the	DET
cord-005350-19za0msu	335	34	power	power	NOUN
cord-005350-19za0msu	335	35	spectrum	spectrum	NOUN
cord-005350-19za0msu	335	36	peak	peak	NOUN
cord-005350-19za0msu	335	37	height	height	NOUN
cord-005350-19za0msu	335	38	increases	increase	NOUN
cord-005350-19za0msu	335	39	as	as	SCONJ
cord-005350-19za0msu	335	40	the	the	DET
cord-005350-19za0msu	335	41	transcritical	transcritical	ADJ
cord-005350-19za0msu	335	42	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	335	43	is	be	AUX
cord-005350-19za0msu	335	44	approached	approach	VERB
cord-005350-19za0msu	335	45	.	.	PUNCT
cord-005350-19za0msu	336	1	to	to	PART
cord-005350-19za0msu	336	2	examine	examine	VERB
cord-005350-19za0msu	336	3	how	how	SCONJ
cord-005350-19za0msu	336	4	different	different	ADJ
cord-005350-19za0msu	336	5	changes	change	NOUN
cord-005350-19za0msu	336	6	in	in	ADP
cord-005350-19za0msu	336	7	vaccination	vaccination	NOUN
cord-005350-19za0msu	336	8	uptake	uptake	NOUN
cord-005350-19za0msu	336	9	p	p	NOUN
cord-005350-19za0msu	336	10	0	0	PUNCT
cord-005350-19za0msu	336	11	affect	affect	VERB
cord-005350-19za0msu	336	12	the	the	DET
cord-005350-19za0msu	336	13	statistics	statistic	NOUN
cord-005350-19za0msu	336	14	,	,	PUNCT
cord-005350-19za0msu	336	15	we	we	PRON
cord-005350-19za0msu	336	16	varied	vary	VERB
cord-005350-19za0msu	336	17	p	p	NOUN
cord-005350-19za0msu	336	18	0	0	NUM
cord-005350-19za0msu	336	19	by	by	ADP
cord-005350-19za0msu	336	20	1/500	1/500	NUM
cord-005350-19za0msu	336	21	and	and	CCONJ
cord-005350-19za0msu	336	22	1/30	1/30	NUM
cord-005350-19za0msu	336	23	year	year	NOUN
cord-005350-19za0msu	336	24	−1	−1	NOUN
cord-005350-19za0msu	336	25	in	in	ADP
cord-005350-19za0msu	336	26	the	the	DET
cord-005350-19za0msu	336	27	fast	fast	ADV
cord-005350-19za0msu	336	28	-	-	PUNCT
cord-005350-19za0msu	336	29	slow	slow	ADJ
cord-005350-19za0msu	336	30	model	model	NOUN
cord-005350-19za0msu	336	31	with	with	ADP
cord-005350-19za0msu	336	32	immigration	immigration	NOUN
cord-005350-19za0msu	336	33	.	.	PUNCT
cord-005350-19za0msu	337	1	predictions	prediction	NOUN
cord-005350-19za0msu	337	2	generated	generate	VERB
cord-005350-19za0msu	337	3	from	from	ADP
cord-005350-19za0msu	337	4	the	the	DET
cord-005350-19za0msu	337	5	p	p	PROPN
cord-005350-19za0msu	337	6	0	0	NUM
cord-005350-19za0msu	337	7	=	=	SYM
cord-005350-19za0msu	337	8	1/500	1/500	NUM
cord-005350-19za0msu	337	9	model	model	NOUN
cord-005350-19za0msu	337	10	are	be	AUX
cord-005350-19za0msu	337	11	in	in	ADP
cord-005350-19za0msu	337	12	close	close	ADJ
cord-005350-19za0msu	337	13	agreement	agreement	NOUN
cord-005350-19za0msu	337	14	with	with	ADP
cord-005350-19za0msu	337	15	predictions	prediction	NOUN
cord-005350-19za0msu	337	16	arising	arise	VERB
cord-005350-19za0msu	337	17	from	from	ADP
cord-005350-19za0msu	337	18	the	the	DET
cord-005350-19za0msu	337	19	η	η	X
cord-005350-19za0msu	337	20	>	>	SYM
cord-005350-19za0msu	337	21	0	0	NUM
cord-005350-19za0msu	337	22	stable	stable	ADJ
cord-005350-19za0msu	337	23	model	model	NOUN
cord-005350-19za0msu	337	24	.	.	PUNCT
cord-005350-19za0msu	338	1	however	however	ADV
cord-005350-19za0msu	338	2	,	,	PUNCT
cord-005350-19za0msu	338	3	when	when	SCONJ
cord-005350-19za0msu	338	4	vaccination	vaccination	NOUN
cord-005350-19za0msu	338	5	uptake	uptake	NOUN
cord-005350-19za0msu	338	6	is	be	AUX
cord-005350-19za0msu	338	7	increasing	increase	VERB
cord-005350-19za0msu	338	8	an	an	DET
cord-005350-19za0msu	338	9	order	order	NOUN
cord-005350-19za0msu	338	10	of	of	ADP
cord-005350-19za0msu	338	11	magnitude	magnitude	NOUN
cord-005350-19za0msu	338	12	faster	fast	ADV
cord-005350-19za0msu	338	13	(	(	PUNCT
cord-005350-19za0msu	338	14	i.e.	i.e.	X
cord-005350-19za0msu	338	15	,	,	PUNCT
cord-005350-19za0msu	338	16	p	p	PROPN
cord-005350-19za0msu	338	17	0	0	NUM
cord-005350-19za0msu	338	18	=	=	SYM
cord-005350-19za0msu	338	19	1/30	1/30	NUM
cord-005350-19za0msu	338	20	)	)	PUNCT
cord-005350-19za0msu	338	21	,	,	PUNCT
cord-005350-19za0msu	338	22	there	there	PRON
cord-005350-19za0msu	338	23	can	can	AUX
cord-005350-19za0msu	338	24	be	be	AUX
cord-005350-19za0msu	338	25	temporary	temporary	ADJ
cord-005350-19za0msu	338	26	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	338	27	,	,	PUNCT
cord-005350-19za0msu	338	28	including	include	VERB
cord-005350-19za0msu	338	29	increases	increase	NOUN
cord-005350-19za0msu	338	30	,	,	PUNCT
cord-005350-19za0msu	338	31	in	in	ADP
cord-005350-19za0msu	338	32	the	the	DET
cord-005350-19za0msu	338	33	variance	variance	NOUN
cord-005350-19za0msu	338	34	(	(	PUNCT
cord-005350-19za0msu	338	35	fig	fig	NOUN
cord-005350-19za0msu	338	36	.	.	PUNCT
cord-005350-19za0msu	338	37	8e	8e	NUM
cord-005350-19za0msu	338	38	)	)	PUNCT
cord-005350-19za0msu	338	39	.	.	PUNCT
cord-005350-19za0msu	339	1	such	such	DET
cord-005350-19za0msu	339	2	a	a	DET
cord-005350-19za0msu	339	3	pattern	pattern	NOUN
cord-005350-19za0msu	339	4	is	be	AUX
cord-005350-19za0msu	339	5	not	not	PART
cord-005350-19za0msu	339	6	predicted	predict	VERB
cord-005350-19za0msu	339	7	when	when	SCONJ
cord-005350-19za0msu	339	8	we	we	PRON
cord-005350-19za0msu	339	9	evaluate	evaluate	VERB
cord-005350-19za0msu	339	10	the	the	DET
cord-005350-19za0msu	339	11	statistics	statistic	NOUN
cord-005350-19za0msu	339	12	about	about	ADP
cord-005350-19za0msu	339	13	the	the	DET
cord-005350-19za0msu	339	14	endemic	endemic	ADJ
cord-005350-19za0msu	339	15	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	339	16	.	.	PUNCT
cord-005350-19za0msu	340	1	generally	generally	ADV
cord-005350-19za0msu	340	2	,	,	PUNCT
cord-005350-19za0msu	340	3	the	the	DET
cord-005350-19za0msu	340	4	analytical	analytical	ADJ
cord-005350-19za0msu	340	5	predictions	prediction	NOUN
cord-005350-19za0msu	340	6	for	for	ADP
cord-005350-19za0msu	340	7	leading	leading	ADJ
cord-005350-19za0msu	340	8	indicators	indicator	NOUN
cord-005350-19za0msu	340	9	for	for	ADP
cord-005350-19za0msu	340	10	sis	sis	NOUN
cord-005350-19za0msu	340	11	disease	disease	NOUN
cord-005350-19za0msu	340	12	systems	system	NOUN
cord-005350-19za0msu	340	13	approaching	approach	VERB
cord-005350-19za0msu	340	14	elimination	elimination	NOUN
cord-005350-19za0msu	340	15	are	be	AUX
cord-005350-19za0msu	340	16	robust	robust	ADJ
cord-005350-19za0msu	340	17	over	over	ADP
cord-005350-19za0msu	340	18	a	a	DET
cord-005350-19za0msu	340	19	moving	move	VERB
cord-005350-19za0msu	340	20	window	window	NOUN
cord-005350-19za0msu	340	21	,	,	PUNCT
cord-005350-19za0msu	340	22	and	and	CCONJ
cord-005350-19za0msu	340	23	they	they	PRON
cord-005350-19za0msu	340	24	perform	perform	VERB
cord-005350-19za0msu	340	25	well	well	ADV
cord-005350-19za0msu	340	26	in	in	ADP
cord-005350-19za0msu	340	27	comparison	comparison	NOUN
cord-005350-19za0msu	340	28	to	to	ADP
cord-005350-19za0msu	340	29	statistics	statistic	NOUN
cord-005350-19za0msu	340	30	generated	generate	VERB
cord-005350-19za0msu	340	31	from	from	ADP
cord-005350-19za0msu	340	32	the	the	DET
cord-005350-19za0msu	340	33	null	null	ADJ
cord-005350-19za0msu	340	34	stable	stable	ADJ
cord-005350-19za0msu	340	35	models	model	NOUN
cord-005350-19za0msu	340	36	,	,	PUNCT
cord-005350-19za0msu	340	37	as	as	SCONJ
cord-005350-19za0msu	340	38	indicated	indicate	VERB
cord-005350-19za0msu	340	39	by	by	ADP
cord-005350-19za0msu	340	40	the	the	DET
cord-005350-19za0msu	340	41	roc	roc	PROPN
cord-005350-19za0msu	340	42	curves	curve	NOUN
cord-005350-19za0msu	340	43	in	in	ADP
cord-005350-19za0msu	340	44	fig	fig	PROPN
cord-005350-19za0msu	340	45	.	.	PUNCT
cord-005350-19za0msu	341	1	10	10	NUM
cord-005350-19za0msu	341	2	.	.	PUNCT
cord-005350-19za0msu	342	1	the	the	DET
cord-005350-19za0msu	342	2	roc	roc	PROPN
cord-005350-19za0msu	342	3	curves	curve	NOUN
cord-005350-19za0msu	342	4	lie	lie	VERB
cord-005350-19za0msu	342	5	above	above	ADP
cord-005350-19za0msu	342	6	the	the	DET
cord-005350-19za0msu	342	7	black	black	ADJ
cord-005350-19za0msu	342	8	line	line	NOUN
cord-005350-19za0msu	342	9	,	,	PUNCT
cord-005350-19za0msu	342	10	showing	show	VERB
cord-005350-19za0msu	342	11	that	that	SCONJ
cord-005350-19za0msu	342	12	the	the	DET
cord-005350-19za0msu	342	13	indicators	indicator	NOUN
cord-005350-19za0msu	342	14	behave	behave	VERB
cord-005350-19za0msu	342	15	better	well	ADJ
cord-005350-19za0msu	342	16	than	than	ADP
cord-005350-19za0msu	342	17	chance	chance	NOUN
cord-005350-19za0msu	342	18	in	in	ADP
cord-005350-19za0msu	342	19	distinguishing	distinguish	VERB
cord-005350-19za0msu	342	20	between	between	ADP
cord-005350-19za0msu	342	21	realizations	realization	NOUN
cord-005350-19za0msu	342	22	that	that	PRON
cord-005350-19za0msu	342	23	have	have	AUX
cord-005350-19za0msu	342	24	been	be	AUX
cord-005350-19za0msu	342	25	generated	generate	VERB
cord-005350-19za0msu	342	26	by	by	ADP
cord-005350-19za0msu	342	27	the	the	DET
cord-005350-19za0msu	342	28	null	null	NOUN
cord-005350-19za0msu	342	29	and	and	CCONJ
cord-005350-19za0msu	342	30	test	test	NOUN
cord-005350-19za0msu	342	31	models	model	NOUN
cord-005350-19za0msu	342	32	and	and	CCONJ
cord-005350-19za0msu	342	33	the	the	DET
cord-005350-19za0msu	342	34	reported	reported	ADJ
cord-005350-19za0msu	342	35	auc	auc	ADJ
cord-005350-19za0msu	342	36	values	value	NOUN
cord-005350-19za0msu	342	37	are	be	AUX
cord-005350-19za0msu	342	38	close	close	ADJ
cord-005350-19za0msu	342	39	to	to	ADP
cord-005350-19za0msu	342	40	1	1	NUM
cord-005350-19za0msu	342	41	.	.	PUNCT
cord-005350-19za0msu	343	1	furthermore	furthermore	ADV
cord-005350-19za0msu	343	2	,	,	PUNCT
cord-005350-19za0msu	343	3	the	the	DET
cord-005350-19za0msu	343	4	trends	trend	NOUN
cord-005350-19za0msu	343	5	in	in	ADP
cord-005350-19za0msu	343	6	the	the	DET
cord-005350-19za0msu	343	7	statistics	statistic	NOUN
cord-005350-19za0msu	343	8	agree	agree	VERB
cord-005350-19za0msu	343	9	with	with	ADP
cord-005350-19za0msu	343	10	the	the	DET
cord-005350-19za0msu	343	11	theoretically	theoretically	ADV
cord-005350-19za0msu	343	12	predicted	predict	VERB
cord-005350-19za0msu	343	13	trends	trend	NOUN
cord-005350-19za0msu	343	14	(	(	PUNCT
cord-005350-19za0msu	343	15	compare	compare	VERB
cord-005350-19za0msu	343	16	fig	fig	NOUN
cord-005350-19za0msu	343	17	.	.	PUNCT
cord-005350-19za0msu	344	1	10a	10a	NUM
cord-005350-19za0msu	344	2	,	,	PUNCT
cord-005350-19za0msu	344	3	c	c	NOUN
cord-005350-19za0msu	344	4	,	,	PUNCT
cord-005350-19za0msu	344	5	e	e	NOUN
cord-005350-19za0msu	344	6	with	with	ADP
cord-005350-19za0msu	344	7	fig	fig	NOUN
cord-005350-19za0msu	344	8	.	.	PUNCT
cord-005350-19za0msu	345	1	8a	8a	NUM
cord-005350-19za0msu	345	2	-	-	PUNCT
cord-005350-19za0msu	345	3	c	c	NOUN
cord-005350-19za0msu	345	4	)	)	PUNCT
cord-005350-19za0msu	345	5	.	.	PUNCT
cord-005350-19za0msu	346	1	however	however	ADV
cord-005350-19za0msu	346	2	,	,	PUNCT
cord-005350-19za0msu	346	3	the	the	DET
cord-005350-19za0msu	346	4	gaussian	gaussian	ADJ
cord-005350-19za0msu	346	5	smoother	smooth	ADJ
cord-005350-19za0msu	346	6	may	may	AUX
cord-005350-19za0msu	346	7	not	not	PART
cord-005350-19za0msu	346	8	be	be	AUX
cord-005350-19za0msu	346	9	appropriate	appropriate	ADJ
cord-005350-19za0msu	346	10	when	when	SCONJ
cord-005350-19za0msu	346	11	the	the	DET
cord-005350-19za0msu	346	12	trend	trend	NOUN
cord-005350-19za0msu	346	13	declines	decline	VERB
cord-005350-19za0msu	346	14	rapidly	rapidly	ADV
cord-005350-19za0msu	346	15	,	,	PUNCT
cord-005350-19za0msu	346	16	as	as	SCONJ
cord-005350-19za0msu	346	17	occurs	occur	VERB
cord-005350-19za0msu	346	18	for	for	ADP
cord-005350-19za0msu	346	19	the	the	DET
cord-005350-19za0msu	346	20	sis	sis	NOUN
cord-005350-19za0msu	346	21	system	system	NOUN
cord-005350-19za0msu	346	22	approaching	approach	VERB
cord-005350-19za0msu	346	23	elimination	elimination	NOUN
cord-005350-19za0msu	346	24	.	.	PUNCT
cord-005350-19za0msu	347	1	various	various	ADJ
cord-005350-19za0msu	347	2	bandwidths	bandwidth	NOUN
cord-005350-19za0msu	347	3	were	be	AUX
cord-005350-19za0msu	347	4	used	use	VERB
cord-005350-19za0msu	347	5	,	,	PUNCT
cord-005350-19za0msu	347	6	but	but	CCONJ
cord-005350-19za0msu	347	7	while	while	SCONJ
cord-005350-19za0msu	347	8	smaller	small	ADJ
cord-005350-19za0msu	347	9	bandwidths	bandwidth	NOUN
cord-005350-19za0msu	347	10	removed	remove	VERB
cord-005350-19za0msu	347	11	the	the	DET
cord-005350-19za0msu	347	12	slowly	slowly	ADV
cord-005350-19za0msu	347	13	varying	vary	VERB
cord-005350-19za0msu	347	14	trend	trend	NOUN
cord-005350-19za0msu	347	15	successfully	successfully	ADV
cord-005350-19za0msu	347	16	,	,	PUNCT
cord-005350-19za0msu	347	17	they	they	PRON
cord-005350-19za0msu	347	18	did	do	AUX
cord-005350-19za0msu	347	19	not	not	PART
cord-005350-19za0msu	347	20	capture	capture	VERB
cord-005350-19za0msu	347	21	the	the	DET
cord-005350-19za0msu	347	22	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	347	23	relevant	relevant	ADJ
cord-005350-19za0msu	347	24	for	for	ADP
cord-005350-19za0msu	347	25	critical	critical	ADJ
cord-005350-19za0msu	347	26	slowing	slowing	NOUN
cord-005350-19za0msu	347	27	down	down	ADV
cord-005350-19za0msu	347	28	.	.	PUNCT
cord-005350-19za0msu	348	1	larger	large	ADJ
cord-005350-19za0msu	348	2	bandwidths	bandwidth	NOUN
cord-005350-19za0msu	348	3	captured	capture	VERB
cord-005350-19za0msu	348	4	these	these	DET
cord-005350-19za0msu	348	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	348	6	but	but	CCONJ
cord-005350-19za0msu	348	7	did	do	AUX
cord-005350-19za0msu	348	8	not	not	PART
cord-005350-19za0msu	348	9	successfully	successfully	ADV
cord-005350-19za0msu	348	10	remove	remove	VERB
cord-005350-19za0msu	348	11	the	the	DET
cord-005350-19za0msu	348	12	slowly	slowly	ADV
cord-005350-19za0msu	348	13	varying	vary	VERB
cord-005350-19za0msu	348	14	trend	trend	NOUN
cord-005350-19za0msu	348	15	from	from	ADP
cord-005350-19za0msu	348	16	the	the	DET
cord-005350-19za0msu	348	17	last	last	ADJ
cord-005350-19za0msu	348	18	10	10	NUM
cord-005350-19za0msu	348	19	years	year	NOUN
cord-005350-19za0msu	348	20	of	of	ADP
cord-005350-19za0msu	348	21	the	the	DET
cord-005350-19za0msu	348	22	time	time	NOUN
cord-005350-19za0msu	348	23	series	series	NOUN
cord-005350-19za0msu	348	24	,	,	PUNCT
cord-005350-19za0msu	348	25	as	as	SCONJ
cord-005350-19za0msu	348	26	can	can	AUX
cord-005350-19za0msu	348	27	be	be	AUX
cord-005350-19za0msu	348	28	seen	see	VERB
cord-005350-19za0msu	348	29	in	in	ADP
cord-005350-19za0msu	348	30	the	the	DET
cord-005350-19za0msu	348	31	plots	plot	NOUN
cord-005350-19za0msu	348	32	.	.	PUNCT
cord-005350-19za0msu	349	1	this	this	DET
cord-005350-19za0msu	349	2	problem	problem	NOUN
cord-005350-19za0msu	349	3	with	with	ADP
cord-005350-19za0msu	349	4	gaussian	gaussian	ADJ
cord-005350-19za0msu	349	5	filtering	filtering	NOUN
cord-005350-19za0msu	349	6	has	have	AUX
cord-005350-19za0msu	349	7	been	be	AUX
cord-005350-19za0msu	349	8	noted	note	VERB
cord-005350-19za0msu	349	9	before	before	ADP
cord-005350-19za0msu	349	10	by	by	ADP
cord-005350-19za0msu	349	11	dakos	dakos	PROPN
cord-005350-19za0msu	349	12	et	et	PROPN
cord-005350-19za0msu	349	13	al	al	PROPN
cord-005350-19za0msu	349	14	.	.	PUNCT
cord-005350-19za0msu	349	15	(	(	PUNCT
cord-005350-19za0msu	349	16	2008	2008	NUM
cord-005350-19za0msu	349	17	)	)	PUNCT
cord-005350-19za0msu	349	18	.	.	PUNCT
cord-005350-19za0msu	350	1	the	the	DET
cord-005350-19za0msu	350	2	theoretical	theoretical	ADJ
cord-005350-19za0msu	350	3	predictions	prediction	NOUN
cord-005350-19za0msu	350	4	for	for	ADP
cord-005350-19za0msu	350	5	leading	leading	ADJ
cord-005350-19za0msu	350	6	indicators	indicator	NOUN
cord-005350-19za0msu	350	7	for	for	ADP
cord-005350-19za0msu	350	8	sir	sir	PROPN
cord-005350-19za0msu	350	9	disease	disease	PROPN
cord-005350-19za0msu	350	10	systems	system	NOUN
cord-005350-19za0msu	350	11	approaching	approach	VERB
cord-005350-19za0msu	350	12	elimination	elimination	NOUN
cord-005350-19za0msu	350	13	are	be	AUX
cord-005350-19za0msu	350	14	robust	robust	ADJ
cord-005350-19za0msu	350	15	over	over	ADP
cord-005350-19za0msu	350	16	a	a	DET
cord-005350-19za0msu	350	17	moving	move	VERB
cord-005350-19za0msu	350	18	window	window	NOUN
cord-005350-19za0msu	350	19	.	.	PUNCT
cord-005350-19za0msu	351	1	the	the	DET
cord-005350-19za0msu	351	2	trends	trend	NOUN
cord-005350-19za0msu	351	3	in	in	ADP
cord-005350-19za0msu	351	4	the	the	DET
cord-005350-19za0msu	351	5	statistics	statistic	NOUN
cord-005350-19za0msu	351	6	shown	show	VERB
cord-005350-19za0msu	351	7	in	in	ADP
cord-005350-19za0msu	351	8	figs	fig	NOUN
cord-005350-19za0msu	351	9	.	.	PUNCT
cord-005350-19za0msu	352	1	11a	11a	NUM
cord-005350-19za0msu	352	2	,	,	PUNCT
cord-005350-19za0msu	352	3	c	c	PROPN
cord-005350-19za0msu	352	4	,	,	PUNCT
cord-005350-19za0msu	352	5	e	e	PROPN
cord-005350-19za0msu	352	6	,	,	PUNCT
cord-005350-19za0msu	352	7	and	and	CCONJ
cord-005350-19za0msu	352	8	12a	12a	NOUN
cord-005350-19za0msu	352	9	,	,	PUNCT
cord-005350-19za0msu	352	10	c	c	PROPN
cord-005350-19za0msu	352	11	,	,	PUNCT
cord-005350-19za0msu	352	12	e	e	PROPN
cord-005350-19za0msu	352	13	agree	agree	VERB
cord-005350-19za0msu	352	14	with	with	ADP
cord-005350-19za0msu	352	15	the	the	DET
cord-005350-19za0msu	352	16	theoretical	theoretical	ADJ
cord-005350-19za0msu	352	17	predictions	prediction	NOUN
cord-005350-19za0msu	352	18	(	(	PUNCT
cord-005350-19za0msu	352	19	fig	fig	NOUN
cord-005350-19za0msu	352	20	.	.	PUNCT
cord-005350-19za0msu	353	1	8d	8d	PROPN
cord-005350-19za0msu	353	2	-	-	PUNCT
cord-005350-19za0msu	353	3	f	f	PROPN
cord-005350-19za0msu	353	4	)	)	PUNCT
cord-005350-19za0msu	353	5	.	.	PUNCT
cord-005350-19za0msu	354	1	notably	notably	ADV
cord-005350-19za0msu	354	2	,	,	PUNCT
cord-005350-19za0msu	354	3	the	the	DET
cord-005350-19za0msu	354	4	median	median	ADJ
cord-005350-19za0msu	354	5	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	354	6	variance	variance	NOUN
cord-005350-19za0msu	354	7	for	for	ADP
cord-005350-19za0msu	354	8	the	the	DET
cord-005350-19za0msu	354	9	system	system	NOUN
cord-005350-19za0msu	354	10	with	with	ADP
cord-005350-19za0msu	354	11	p	p	PROPN
cord-005350-19za0msu	354	12	0	0	PUNCT
cord-005350-19za0msu	354	13	=	=	NOUN
cord-005350-19za0msu	354	14	1/30	1/30	PROPN
cord-005350-19za0msu	354	15	also	also	ADV
cord-005350-19za0msu	354	16	exhibits	exhibit	VERB
cord-005350-19za0msu	354	17	more	more	ADJ
cord-005350-19za0msu	354	18	variability	variability	NOUN
cord-005350-19za0msu	354	19	,	,	PUNCT
cord-005350-19za0msu	354	20	as	as	SCONJ
cord-005350-19za0msu	354	21	predicted	predict	VERB
cord-005350-19za0msu	354	22	theoretically	theoretically	ADV
cord-005350-19za0msu	354	23	.	.	PUNCT
cord-005350-19za0msu	355	1	the	the	DET
cord-005350-19za0msu	355	2	roc	roc	PROPN
cord-005350-19za0msu	355	3	analysis	analysis	NOUN
cord-005350-19za0msu	355	4	for	for	ADP
cord-005350-19za0msu	355	5	the	the	DET
cord-005350-19za0msu	355	6	sir	sir	PROPN
cord-005350-19za0msu	355	7	models	model	NOUN
cord-005350-19za0msu	355	8	indicates	indicate	VERB
cord-005350-19za0msu	355	9	that	that	SCONJ
cord-005350-19za0msu	355	10	the	the	DET
cord-005350-19za0msu	355	11	statistics	statistic	NOUN
cord-005350-19za0msu	355	12	from	from	ADP
cord-005350-19za0msu	355	13	the	the	DET
cord-005350-19za0msu	355	14	test	test	NOUN
cord-005350-19za0msu	355	15	models	model	NOUN
cord-005350-19za0msu	355	16	perform	perform	VERB
cord-005350-19za0msu	355	17	well	well	ADV
cord-005350-19za0msu	355	18	in	in	ADP
cord-005350-19za0msu	355	19	comparison	comparison	NOUN
cord-005350-19za0msu	355	20	to	to	ADP
cord-005350-19za0msu	355	21	statistics	statistic	NOUN
cord-005350-19za0msu	355	22	generated	generate	VERB
cord-005350-19za0msu	355	23	from	from	ADP
cord-005350-19za0msu	355	24	the	the	DET
cord-005350-19za0msu	355	25	null	null	ADJ
cord-005350-19za0msu	355	26	stable	stable	ADJ
cord-005350-19za0msu	355	27	models	model	NOUN
cord-005350-19za0msu	355	28	,	,	PUNCT
cord-005350-19za0msu	355	29	but	but	CCONJ
cord-005350-19za0msu	355	30	the	the	DET
cord-005350-19za0msu	355	31	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	355	32	variance	variance	NOUN
cord-005350-19za0msu	355	33	for	for	ADP
cord-005350-19za0msu	355	34	the	the	DET
cord-005350-19za0msu	355	35	system	system	NOUN
cord-005350-19za0msu	355	36	with	with	ADP
cord-005350-19za0msu	355	37	p	p	PROPN
cord-005350-19za0msu	355	38	0	0	NUM
cord-005350-19za0msu	355	39	=	=	NOUN
cord-005350-19za0msu	355	40	1/30	1/30	NUM
cord-005350-19za0msu	355	41	is	be	AUX
cord-005350-19za0msu	355	42	an	an	DET
cord-005350-19za0msu	355	43	exception	exception	NOUN
cord-005350-19za0msu	355	44	.	.	PUNCT
cord-005350-19za0msu	356	1	the	the	DET
cord-005350-19za0msu	356	2	performance	performance	NOUN
cord-005350-19za0msu	356	3	is	be	AUX
cord-005350-19za0msu	356	4	poor	poor	ADJ
cord-005350-19za0msu	356	5	because	because	SCONJ
cord-005350-19za0msu	356	6	the	the	DET
cord-005350-19za0msu	356	7	trend	trend	NOUN
cord-005350-19za0msu	356	8	in	in	ADP
cord-005350-19za0msu	356	9	the	the	DET
cord-005350-19za0msu	356	10	variance	variance	NOUN
cord-005350-19za0msu	356	11	exhibits	exhibit	VERB
cord-005350-19za0msu	356	12	wider	wide	ADJ
cord-005350-19za0msu	356	13	variation	variation	NOUN
cord-005350-19za0msu	356	14	(	(	PUNCT
cord-005350-19za0msu	356	15	fig	fig	NOUN
cord-005350-19za0msu	356	16	.	.	PUNCT
cord-005350-19za0msu	356	17	12c	12c	NUM
cord-005350-19za0msu	356	18	)	)	PUNCT
cord-005350-19za0msu	356	19	.	.	PUNCT
cord-005350-19za0msu	357	1	finally	finally	ADV
cord-005350-19za0msu	357	2	,	,	PUNCT
cord-005350-19za0msu	357	3	the	the	DET
cord-005350-19za0msu	357	4	gaussian	gaussian	ADJ
cord-005350-19za0msu	357	5	filtering	filtering	NOUN
cord-005350-19za0msu	357	6	performs	perform	VERB
cord-005350-19za0msu	357	7	well	well	ADV
cord-005350-19za0msu	357	8	in	in	ADP
cord-005350-19za0msu	357	9	comparison	comparison	NOUN
cord-005350-19za0msu	357	10	to	to	ADP
cord-005350-19za0msu	357	11	the	the	DET
cord-005350-19za0msu	357	12	van	van	PROPN
cord-005350-19za0msu	357	13	kampen	kampen	PROPN
cord-005350-19za0msu	357	14	detrending	detrende	VERB
cord-005350-19za0msu	357	15	,	,	PUNCT
cord-005350-19za0msu	357	16	because	because	SCONJ
cord-005350-19za0msu	357	17	the	the	DET
cord-005350-19za0msu	357	18	mean	mean	NOUN
cord-005350-19za0msu	357	19	of	of	ADP
cord-005350-19za0msu	357	20	the	the	DET
cord-005350-19za0msu	357	21	sir	sir	PROPN
cord-005350-19za0msu	357	22	model	model	NOUN
cord-005350-19za0msu	357	23	declines	decline	VERB
cord-005350-19za0msu	357	24	linearly	linearly	ADV
cord-005350-19za0msu	357	25	and	and	CCONJ
cord-005350-19za0msu	357	26	does	do	AUX
cord-005350-19za0msu	357	27	not	not	PART
cord-005350-19za0msu	357	28	exhibit	exhibit	VERB
cord-005350-19za0msu	357	29	any	any	DET
cord-005350-19za0msu	357	30	rapid	rapid	ADJ
cord-005350-19za0msu	357	31	changes	change	NOUN
cord-005350-19za0msu	357	32	.	.	PUNCT
cord-005350-19za0msu	358	1	as	as	SCONJ
cord-005350-19za0msu	358	2	noted	note	VERB
cord-005350-19za0msu	358	3	,	,	PUNCT
cord-005350-19za0msu	358	4	the	the	DET
cord-005350-19za0msu	358	5	standard	standard	ADJ
cord-005350-19za0msu	358	6	expectations	expectation	NOUN
cord-005350-19za0msu	358	7	for	for	ADP
cord-005350-19za0msu	358	8	early	early	ADJ
cord-005350-19za0msu	358	9	warning	warning	NOUN
cord-005350-19za0msu	358	10	signals	signal	NOUN
cord-005350-19za0msu	358	11	of	of	ADP
cord-005350-19za0msu	358	12	systems	system	NOUN
cord-005350-19za0msu	358	13	approaching	approach	VERB
cord-005350-19za0msu	358	14	a	a	DET
cord-005350-19za0msu	358	15	critical	critical	ADJ
cord-005350-19za0msu	358	16	transition	transition	NOUN
cord-005350-19za0msu	358	17	include	include	VERB
cord-005350-19za0msu	358	18	increasing	increase	VERB
cord-005350-19za0msu	358	19	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	358	20	,	,	PUNCT
cord-005350-19za0msu	358	21	increasing	increase	VERB
cord-005350-19za0msu	358	22	variance	variance	NOUN
cord-005350-19za0msu	358	23	,	,	PUNCT
cord-005350-19za0msu	358	24	and	and	CCONJ
cord-005350-19za0msu	358	25	increasing	increase	VERB
cord-005350-19za0msu	358	26	coefficient	coefficient	NOUN
cord-005350-19za0msu	358	27	of	of	ADP
cord-005350-19za0msu	358	28	variation	variation	NOUN
cord-005350-19za0msu	358	29	.	.	PUNCT
cord-005350-19za0msu	359	1	prior	prior	ADV
cord-005350-19za0msu	359	2	to	to	ADP
cord-005350-19za0msu	359	3	emergence	emergence	NOUN
cord-005350-19za0msu	359	4	,	,	PUNCT
cord-005350-19za0msu	359	5	the	the	DET
cord-005350-19za0msu	359	6	theoretical	theoretical	ADJ
cord-005350-19za0msu	359	7	predictions	prediction	NOUN
cord-005350-19za0msu	359	8	for	for	ADP
cord-005350-19za0msu	359	9	the	the	DET
cord-005350-19za0msu	359	10	sis	sis	NOUN
cord-005350-19za0msu	359	11	model	model	NOUN
cord-005350-19za0msu	359	12	generally	generally	ADV
cord-005350-19za0msu	359	13	agree	agree	VERB
cord-005350-19za0msu	359	14	with	with	ADP
cord-005350-19za0msu	359	15	these	these	DET
cord-005350-19za0msu	359	16	standard	standard	ADJ
cord-005350-19za0msu	359	17	expectations	expectation	NOUN
cord-005350-19za0msu	359	18	.	.	PUNCT
cord-005350-19za0msu	360	1	for	for	ADP
cord-005350-19za0msu	360	2	emerging	emerge	VERB
cord-005350-19za0msu	360	3	sis	sis	NOUN
cord-005350-19za0msu	360	4	diseases	disease	NOUN
cord-005350-19za0msu	360	5	with	with	ADP
cord-005350-19za0msu	360	6	immigration	immigration	NOUN
cord-005350-19za0msu	360	7	,	,	PUNCT
cord-005350-19za0msu	360	8	the	the	DET
cord-005350-19za0msu	360	9	lag-1	lag-1	PUNCT
cord-005350-19za0msu	360	10	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	360	11	is	be	AUX
cord-005350-19za0msu	360	12	predicted	predict	VERB
cord-005350-19za0msu	360	13	to	to	PART
cord-005350-19za0msu	360	14	increase	increase	VERB
cord-005350-19za0msu	360	15	,	,	PUNCT
cord-005350-19za0msu	360	16	indicating	indicate	VERB
cord-005350-19za0msu	360	17	an	an	DET
cord-005350-19za0msu	360	18	increase	increase	NOUN
cord-005350-19za0msu	360	19	in	in	ADP
cord-005350-19za0msu	360	20	memory	memory	NOUN
cord-005350-19za0msu	360	21	in	in	ADP
cord-005350-19za0msu	360	22	the	the	DET
cord-005350-19za0msu	360	23	system	system	NOUN
cord-005350-19za0msu	360	24	.	.	PUNCT
cord-005350-19za0msu	361	1	the	the	DET
cord-005350-19za0msu	361	2	variance	variance	NOUN
cord-005350-19za0msu	361	3	is	be	AUX
cord-005350-19za0msu	361	4	also	also	ADV
cord-005350-19za0msu	361	5	predicted	predict	VERB
cord-005350-19za0msu	361	6	to	to	PART
cord-005350-19za0msu	361	7	increase	increase	VERB
cord-005350-19za0msu	361	8	,	,	PUNCT
cord-005350-19za0msu	361	9	as	as	SCONJ
cord-005350-19za0msu	361	10	suggested	suggest	VERB
cord-005350-19za0msu	361	11	by	by	ADP
cord-005350-19za0msu	361	12	the	the	DET
cord-005350-19za0msu	361	13	increasing	increase	VERB
cord-005350-19za0msu	361	14	area	area	NOUN
cord-005350-19za0msu	361	15	under	under	ADP
cord-005350-19za0msu	361	16	the	the	DET
cord-005350-19za0msu	361	17	power	power	NOUN
cord-005350-19za0msu	361	18	spectrum	spectrum	NOUN
cord-005350-19za0msu	361	19	in	in	ADP
cord-005350-19za0msu	361	20	fig	fig	NOUN
cord-005350-19za0msu	361	21	.	.	PUNCT
cord-005350-19za0msu	362	1	7c	7c	X
cord-005350-19za0msu	362	2	.	.	PUNCT
cord-005350-19za0msu	363	1	however	however	ADV
cord-005350-19za0msu	363	2	,	,	PUNCT
cord-005350-19za0msu	363	3	the	the	DET
cord-005350-19za0msu	363	4	coefficient	coefficient	NOUN
cord-005350-19za0msu	363	5	of	of	ADP
cord-005350-19za0msu	363	6	variation	variation	NOUN
cord-005350-19za0msu	363	7	is	be	AUX
cord-005350-19za0msu	363	8	predicted	predict	VERB
cord-005350-19za0msu	363	9	to	to	PART
cord-005350-19za0msu	363	10	decline	decline	VERB
cord-005350-19za0msu	363	11	as	as	ADP
cord-005350-19za0msu	363	12	p(t	p(t	NOUN
cord-005350-19za0msu	363	13	)	)	PUNCT
cord-005350-19za0msu	363	14	decreases	decrease	NOUN
cord-005350-19za0msu	363	15	,	,	PUNCT
cord-005350-19za0msu	363	16	indicating	indicate	VERB
cord-005350-19za0msu	363	17	that	that	SCONJ
cord-005350-19za0msu	363	18	the	the	DET
cord-005350-19za0msu	363	19	mean	mean	NOUN
cord-005350-19za0msu	363	20	of	of	ADP
cord-005350-19za0msu	363	21	the	the	DET
cord-005350-19za0msu	363	22	stable	stable	ADJ
cord-005350-19za0msu	363	23	sis	sis	NOUN
cord-005350-19za0msu	363	24	system	system	NOUN
cord-005350-19za0msu	363	25	rises	rise	VERB
cord-005350-19za0msu	363	26	more	more	ADV
cord-005350-19za0msu	363	27	rapidly	rapidly	ADV
cord-005350-19za0msu	363	28	than	than	ADP
cord-005350-19za0msu	363	29	the	the	DET
cord-005350-19za0msu	363	30	variance	variance	NOUN
cord-005350-19za0msu	363	31	.	.	PUNCT
cord-005350-19za0msu	364	1	the	the	DET
cord-005350-19za0msu	364	2	rapid	rapid	ADJ
cord-005350-19za0msu	364	3	rise	rise	NOUN
cord-005350-19za0msu	364	4	in	in	ADP
cord-005350-19za0msu	364	5	the	the	DET
cord-005350-19za0msu	364	6	mean	mean	NOUN
cord-005350-19za0msu	364	7	can	can	AUX
cord-005350-19za0msu	364	8	be	be	AUX
cord-005350-19za0msu	364	9	seen	see	VERB
cord-005350-19za0msu	364	10	in	in	ADP
cord-005350-19za0msu	364	11	fig	fig	NOUN
cord-005350-19za0msu	364	12	.	.	PUNCT
cord-005350-19za0msu	365	1	4a	4a	NOUN
cord-005350-19za0msu	365	2	.	.	PUNCT
cord-005350-19za0msu	366	1	however	however	ADV
cord-005350-19za0msu	366	2	,	,	PUNCT
cord-005350-19za0msu	366	3	the	the	DET
cord-005350-19za0msu	366	4	coefficient	coefficient	NOUN
cord-005350-19za0msu	366	5	of	of	ADP
cord-005350-19za0msu	366	6	variation	variation	NOUN
cord-005350-19za0msu	366	7	is	be	AUX
cord-005350-19za0msu	366	8	predicted	predict	VERB
cord-005350-19za0msu	366	9	to	to	PART
cord-005350-19za0msu	366	10	increase	increase	VERB
cord-005350-19za0msu	366	11	as	as	SCONJ
cord-005350-19za0msu	366	12	the	the	DET
cord-005350-19za0msu	366	13	transition	transition	NOUN
cord-005350-19za0msu	366	14	is	be	AUX
cord-005350-19za0msu	366	15	approached	approach	VERB
cord-005350-19za0msu	366	16	if	if	SCONJ
cord-005350-19za0msu	366	17	the	the	DET
cord-005350-19za0msu	366	18	statistic	statistic	NOUN
cord-005350-19za0msu	366	19	is	be	AUX
cord-005350-19za0msu	366	20	evaluated	evaluate	VERB
cord-005350-19za0msu	366	21	about	about	ADP
cord-005350-19za0msu	366	22	the	the	DET
cord-005350-19za0msu	366	23	solution	solution	NOUN
cord-005350-19za0msu	366	24	of	of	ADP
cord-005350-19za0msu	366	25	the	the	DET
cord-005350-19za0msu	366	26	fast	fast	ADV
cord-005350-19za0msu	366	27	-	-	PUNCT
cord-005350-19za0msu	366	28	slow	slow	ADJ
cord-005350-19za0msu	366	29	system	system	NOUN
cord-005350-19za0msu	366	30	.	.	PUNCT
cord-005350-19za0msu	367	1	this	this	PRON
cord-005350-19za0msu	367	2	is	be	AUX
cord-005350-19za0msu	367	3	because	because	SCONJ
cord-005350-19za0msu	367	4	the	the	DET
cord-005350-19za0msu	367	5	mean	mean	NOUN
cord-005350-19za0msu	367	6	remains	remain	VERB
cord-005350-19za0msu	367	7	small	small	ADJ
cord-005350-19za0msu	367	8	long	long	ADV
cord-005350-19za0msu	367	9	after	after	ADP
cord-005350-19za0msu	367	10	the	the	DET
cord-005350-19za0msu	367	11	predicted	predict	VERB
cord-005350-19za0msu	367	12	critical	critical	ADJ
cord-005350-19za0msu	367	13	transition	transition	NOUN
cord-005350-19za0msu	367	14	(	(	PUNCT
cord-005350-19za0msu	367	15	fig	fig	NOUN
cord-005350-19za0msu	367	16	.	.	PUNCT
cord-005350-19za0msu	367	17	4a	4a	NUM
cord-005350-19za0msu	367	18	)	)	PUNCT
cord-005350-19za0msu	367	19	.	.	PUNCT
cord-005350-19za0msu	368	1	however	however	ADV
cord-005350-19za0msu	368	2	,	,	PUNCT
cord-005350-19za0msu	368	3	the	the	DET
cord-005350-19za0msu	368	4	limiting	limit	VERB
cord-005350-19za0msu	368	5	case	case	NOUN
cord-005350-19za0msu	368	6	theoretical	theoretical	ADJ
cord-005350-19za0msu	368	7	predictions	prediction	NOUN
cord-005350-19za0msu	368	8	for	for	ADP
cord-005350-19za0msu	368	9	the	the	DET
cord-005350-19za0msu	368	10	trends	trend	NOUN
cord-005350-19za0msu	368	11	in	in	ADP
cord-005350-19za0msu	368	12	the	the	DET
cord-005350-19za0msu	368	13	statistics	statistic	NOUN
cord-005350-19za0msu	368	14	for	for	ADP
cord-005350-19za0msu	368	15	systems	system	NOUN
cord-005350-19za0msu	368	16	on	on	ADP
cord-005350-19za0msu	368	17	the	the	DET
cord-005350-19za0msu	368	18	threshold	threshold	NOUN
cord-005350-19za0msu	368	19	of	of	ADP
cord-005350-19za0msu	368	20	emergence	emergence	NOUN
cord-005350-19za0msu	368	21	do	do	AUX
cord-005350-19za0msu	368	22	not	not	PART
cord-005350-19za0msu	368	23	always	always	ADV
cord-005350-19za0msu	368	24	agree	agree	VERB
cord-005350-19za0msu	368	25	with	with	ADP
cord-005350-19za0msu	368	26	the	the	DET
cord-005350-19za0msu	368	27	predictions	prediction	NOUN
cord-005350-19za0msu	368	28	for	for	ADP
cord-005350-19za0msu	368	29	the	the	DET
cord-005350-19za0msu	368	30	corresponding	corresponding	ADJ
cord-005350-19za0msu	368	31	fast	fast	ADV
cord-005350-19za0msu	368	32	-	-	PUNCT
cord-005350-19za0msu	368	33	slow	slow	ADJ
cord-005350-19za0msu	368	34	systems	system	NOUN
cord-005350-19za0msu	368	35	beyond	beyond	ADP
cord-005350-19za0msu	368	36	the	the	DET
cord-005350-19za0msu	368	37	critical	critical	ADJ
cord-005350-19za0msu	368	38	threshold	threshold	NOUN
cord-005350-19za0msu	368	39	for	for	ADP
cord-005350-19za0msu	368	40	emergence	emergence	NOUN
cord-005350-19za0msu	368	41	.	.	PUNCT
cord-005350-19za0msu	369	1	this	this	PRON
cord-005350-19za0msu	369	2	finding	find	VERB
cord-005350-19za0msu	369	3	results	result	NOUN
cord-005350-19za0msu	369	4	from	from	ADP
cord-005350-19za0msu	369	5	the	the	DET
cord-005350-19za0msu	369	6	predicted	predict	VERB
cord-005350-19za0msu	369	7	mean	mean	NOUN
cord-005350-19za0msu	369	8	given	give	VERB
cord-005350-19za0msu	369	9	by	by	ADP
cord-005350-19za0msu	369	10	fast	fast	ADV
cord-005350-19za0msu	369	11	-	-	PUNCT
cord-005350-19za0msu	369	12	slow	slow	ADJ
cord-005350-19za0msu	369	13	system	system	NOUN
cord-005350-19za0msu	369	14	being	be	AUX
cord-005350-19za0msu	369	15	lower	low	ADJ
cord-005350-19za0msu	369	16	than	than	ADP
cord-005350-19za0msu	369	17	that	that	PRON
cord-005350-19za0msu	369	18	of	of	ADP
cord-005350-19za0msu	369	19	the	the	DET
cord-005350-19za0msu	369	20	stable	stable	ADJ
cord-005350-19za0msu	369	21	system	system	NOUN
cord-005350-19za0msu	369	22	in	in	ADP
cord-005350-19za0msu	369	23	the	the	DET
cord-005350-19za0msu	369	24	→	→	SYM
cord-005350-19za0msu	369	25	0	0	NUM
cord-005350-19za0msu	369	26	theory	theory	NOUN
cord-005350-19za0msu	369	27	(	(	PUNCT
cord-005350-19za0msu	369	28	c.f	c.f	PROPN
cord-005350-19za0msu	369	29	.	.	PROPN
cord-005350-19za0msu	369	30	,	,	PUNCT
cord-005350-19za0msu	369	31	fig	fig	NOUN
cord-005350-19za0msu	369	32	.	.	PUNCT
cord-005350-19za0msu	369	33	4a	4a	NOUN
cord-005350-19za0msu	369	34	)	)	PUNCT
cord-005350-19za0msu	369	35	.	.	PUNCT
cord-005350-19za0msu	370	1	due	due	ADP
cord-005350-19za0msu	370	2	to	to	ADP
cord-005350-19za0msu	370	3	the	the	DET
cord-005350-19za0msu	370	4	in	in	NOUN
cord-005350-19za0msu	370	5	agreement	agreement	NOUN
cord-005350-19za0msu	370	6	with	with	ADP
cord-005350-19za0msu	370	7	standard	standard	ADJ
cord-005350-19za0msu	370	8	theory	theory	NOUN
cord-005350-19za0msu	370	9	,	,	PUNCT
cord-005350-19za0msu	370	10	the	the	DET
cord-005350-19za0msu	370	11	variance	variance	NOUN
cord-005350-19za0msu	370	12	and	and	CCONJ
cord-005350-19za0msu	370	13	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	370	14	increase	increase	NOUN
cord-005350-19za0msu	370	15	in	in	ADP
cord-005350-19za0msu	370	16	the	the	DET
cord-005350-19za0msu	370	17	sir	sir	NOUN
cord-005350-19za0msu	370	18	and	and	CCONJ
cord-005350-19za0msu	370	19	sis	sis	PROPN
cord-005350-19za0msu	370	20	systems	system	NOUN
cord-005350-19za0msu	370	21	as	as	SCONJ
cord-005350-19za0msu	370	22	the	the	DET
cord-005350-19za0msu	370	23	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	370	24	is	be	AUX
cord-005350-19za0msu	370	25	approached	approach	VERB
cord-005350-19za0msu	370	26	(	(	PUNCT
cord-005350-19za0msu	370	27	the	the	DET
cord-005350-19za0msu	370	28	peaks	peak	NOUN
cord-005350-19za0msu	370	29	in	in	ADP
cord-005350-19za0msu	370	30	the	the	DET
cord-005350-19za0msu	370	31	variance	variance	NOUN
cord-005350-19za0msu	370	32	and	and	CCONJ
cord-005350-19za0msu	370	33	cv	cv	NOUN
cord-005350-19za0msu	370	34	predictions	prediction	NOUN
cord-005350-19za0msu	370	35	have	have	AUX
cord-005350-19za0msu	370	36	been	be	AUX
cord-005350-19za0msu	370	37	cut	cut	VERB
cord-005350-19za0msu	370	38	off	off	ADP
cord-005350-19za0msu	370	39	for	for	ADP
cord-005350-19za0msu	370	40	clarity	clarity	NOUN
cord-005350-19za0msu	370	41	)	)	PUNCT
cord-005350-19za0msu	370	42	.	.	PUNCT
cord-005350-19za0msu	371	1	to	to	PART
cord-005350-19za0msu	371	2	aid	aid	VERB
cord-005350-19za0msu	371	3	comparison	comparison	NOUN
cord-005350-19za0msu	371	4	with	with	ADP
cord-005350-19za0msu	371	5	fig	fig	NOUN
cord-005350-19za0msu	371	6	.	.	PUNCT
cord-005350-19za0msu	371	7	14c	14c	PROPN
cord-005350-19za0msu	371	8	,	,	PUNCT
cord-005350-19za0msu	371	9	the	the	DET
cord-005350-19za0msu	371	10	inset	inset	ADJ
cord-005350-19za0msu	371	11	plot	plot	NOUN
cord-005350-19za0msu	371	12	of	of	ADP
cord-005350-19za0msu	371	13	(	(	PUNCT
cord-005350-19za0msu	371	14	e	e	NOUN
cord-005350-19za0msu	371	15	)	)	PUNCT
cord-005350-19za0msu	371	16	shows	show	VERB
cord-005350-19za0msu	371	17	a	a	DET
cord-005350-19za0msu	371	18	close	close	NOUN
cord-005350-19za0msu	371	19	-	-	PUNCT
cord-005350-19za0msu	371	20	up	up	NOUN
cord-005350-19za0msu	371	21	of	of	ADP
cord-005350-19za0msu	371	22	increasing	increase	VERB
cord-005350-19za0msu	371	23	variance	variance	NOUN
cord-005350-19za0msu	371	24	prior	prior	ADV
cord-005350-19za0msu	371	25	to	to	ADP
cord-005350-19za0msu	371	26	the	the	DET
cord-005350-19za0msu	371	27	transition	transition	NOUN
cord-005350-19za0msu	371	28	in	in	ADP
cord-005350-19za0msu	371	29	the	the	DET
cord-005350-19za0msu	371	30	sir	sir	PROPN
cord-005350-19za0msu	371	31	case	case	NOUN
cord-005350-19za0msu	371	32	.	.	PUNCT
cord-005350-19za0msu	372	1	however	however	ADV
cord-005350-19za0msu	372	2	,	,	PUNCT
cord-005350-19za0msu	372	3	the	the	DET
cord-005350-19za0msu	372	4	→	→	SYM
cord-005350-19za0msu	372	5	0	0	NUM
cord-005350-19za0msu	372	6	theory	theory	NOUN
cord-005350-19za0msu	372	7	predicts	predict	VERB
cord-005350-19za0msu	372	8	the	the	DET
cord-005350-19za0msu	372	9	cv	cv	NOUN
cord-005350-19za0msu	372	10	declines	decline	VERB
cord-005350-19za0msu	372	11	on	on	ADP
cord-005350-19za0msu	372	12	the	the	DET
cord-005350-19za0msu	372	13	approach	approach	NOUN
cord-005350-19za0msu	372	14	to	to	ADP
cord-005350-19za0msu	372	15	emergence	emergence	NOUN
cord-005350-19za0msu	372	16	.	.	PUNCT
cord-005350-19za0msu	373	1	the	the	DET
cord-005350-19za0msu	373	2	effect	effect	NOUN
cord-005350-19za0msu	373	3	of	of	ADP
cord-005350-19za0msu	373	4	the	the	DET
cord-005350-19za0msu	373	5	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	373	6	delay	delay	NOUN
cord-005350-19za0msu	373	7	is	be	AUX
cord-005350-19za0msu	373	8	also	also	ADV
cord-005350-19za0msu	373	9	seen	see	VERB
cord-005350-19za0msu	373	10	in	in	ADP
cord-005350-19za0msu	373	11	the	the	DET
cord-005350-19za0msu	373	12	statistics	statistic	NOUN
cord-005350-19za0msu	373	13	predicted	predict	VERB
cord-005350-19za0msu	373	14	by	by	ADP
cord-005350-19za0msu	373	15	the	the	DET
cord-005350-19za0msu	373	16	fast	fast	ADV
cord-005350-19za0msu	373	17	-	-	PUNCT
cord-005350-19za0msu	373	18	slow	slow	ADJ
cord-005350-19za0msu	373	19	theory	theory	NOUN
cord-005350-19za0msu	373	20	.	.	PUNCT
cord-005350-19za0msu	374	1	an	an	DET
cord-005350-19za0msu	374	2	order	order	NOUN
cord-005350-19za0msu	374	3	of	of	ADP
cord-005350-19za0msu	374	4	magnitude	magnitude	NOUN
cord-005350-19za0msu	374	5	difference	difference	NOUN
cord-005350-19za0msu	374	6	in	in	ADP
cord-005350-19za0msu	374	7	the	the	DET
cord-005350-19za0msu	374	8	change	change	NOUN
cord-005350-19za0msu	374	9	in	in	ADP
cord-005350-19za0msu	374	10	vaccination	vaccination	NOUN
cord-005350-19za0msu	374	11	uptake	uptake	NOUN
cord-005350-19za0msu	374	12	p	p	NOUN
cord-005350-19za0msu	374	13	0	0	PUNCT
cord-005350-19za0msu	374	14	affects	affect	VERB
cord-005350-19za0msu	374	15	the	the	DET
cord-005350-19za0msu	374	16	predictions	prediction	NOUN
cord-005350-19za0msu	374	17	;	;	PUNCT
cord-005350-19za0msu	374	18	e.g.	e.g.	ADV
cord-005350-19za0msu	374	19	,	,	PUNCT
cord-005350-19za0msu	374	20	the	the	DET
cord-005350-19za0msu	374	21	cv	cv	NOUN
cord-005350-19za0msu	374	22	in	in	ADP
cord-005350-19za0msu	374	23	the	the	DET
cord-005350-19za0msu	374	24	sis	sis	NOUN
cord-005350-19za0msu	374	25	model	model	NOUN
cord-005350-19za0msu	374	26	is	be	AUX
cord-005350-19za0msu	374	27	predicted	predict	VERB
cord-005350-19za0msu	374	28	to	to	PART
cord-005350-19za0msu	374	29	rise	rise	VERB
cord-005350-19za0msu	374	30	before	before	ADP
cord-005350-19za0msu	374	31	the	the	DET
cord-005350-19za0msu	374	32	transcritical	transcritical	ADJ
cord-005350-19za0msu	374	33	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	374	34	by	by	ADP
cord-005350-19za0msu	374	35	the	the	DET
cord-005350-19za0msu	374	36	fast	fast	ADV
cord-005350-19za0msu	374	37	-	-	PUNCT
cord-005350-19za0msu	374	38	slow	slow	ADJ
cord-005350-19za0msu	374	39	theory	theory	NOUN
cord-005350-19za0msu	374	40	.	.	PUNCT
cord-005350-19za0msu	375	1	increases	increase	NOUN
cord-005350-19za0msu	375	2	in	in	ADP
cord-005350-19za0msu	375	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	375	4	(	(	PUNCT
cord-005350-19za0msu	375	5	a	a	X
cord-005350-19za0msu	375	6	)	)	PUNCT
cord-005350-19za0msu	375	7	and	and	CCONJ
cord-005350-19za0msu	375	8	in	in	ADP
cord-005350-19za0msu	375	9	variance	variance	NOUN
cord-005350-19za0msu	375	10	(	(	PUNCT
cord-005350-19za0msu	375	11	b	b	NOUN
cord-005350-19za0msu	375	12	)	)	PUNCT
cord-005350-19za0msu	375	13	can	can	AUX
cord-005350-19za0msu	375	14	occur	occur	VERB
cord-005350-19za0msu	375	15	in	in	ADP
cord-005350-19za0msu	375	16	this	this	DET
cord-005350-19za0msu	375	17	model	model	NOUN
cord-005350-19za0msu	375	18	after	after	ADP
cord-005350-19za0msu	375	19	the	the	DET
cord-005350-19za0msu	375	20	transcritical	transcritical	ADJ
cord-005350-19za0msu	375	21	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	375	22	.	.	PUNCT
cord-005350-19za0msu	376	1	the	the	DET
cord-005350-19za0msu	376	2	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	376	3	of	of	ADP
cord-005350-19za0msu	376	4	the	the	DET
cord-005350-19za0msu	376	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	376	6	with	with	ADP
cord-005350-19za0msu	376	7	a	a	DET
cord-005350-19za0msu	376	8	lag	lag	NOUN
cord-005350-19za0msu	376	9	of	of	ADP
cord-005350-19za0msu	376	10	1	1	NUM
cord-005350-19za0msu	376	11	year	year	NOUN
cord-005350-19za0msu	376	12	(	(	PUNCT
cord-005350-19za0msu	376	13	sis	sis	PROPN
cord-005350-19za0msu	376	14	)	)	PUNCT
cord-005350-19za0msu	376	15	and	and	CCONJ
cord-005350-19za0msu	376	16	1	1	NUM
cord-005350-19za0msu	376	17	month	month	NOUN
cord-005350-19za0msu	376	18	(	(	PUNCT
cord-005350-19za0msu	376	19	sir	sir	PROPN
cord-005350-19za0msu	376	20	)	)	PUNCT
cord-005350-19za0msu	376	21	is	be	AUX
cord-005350-19za0msu	376	22	shown	show	VERB
cord-005350-19za0msu	376	23	,	,	PUNCT
cord-005350-19za0msu	376	24	and	and	CCONJ
cord-005350-19za0msu	376	25	the	the	DET
cord-005350-19za0msu	376	26	variance	variance	NOUN
cord-005350-19za0msu	376	27	shown	show	VERB
cord-005350-19za0msu	376	28	is	be	AUX
cord-005350-19za0msu	376	29	the	the	DET
cord-005350-19za0msu	376	30	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	376	31	variance	variance	NOUN
cord-005350-19za0msu	376	32	.	.	PUNCT
cord-005350-19za0msu	377	1	all	all	DET
cord-005350-19za0msu	377	2	calculations	calculation	NOUN
cord-005350-19za0msu	377	3	used	use	VERB
cord-005350-19za0msu	377	4	the	the	DET
cord-005350-19za0msu	377	5	parameter	parameter	NOUN
cord-005350-19za0msu	377	6	values	value	NOUN
cord-005350-19za0msu	377	7	in	in	ADP
cord-005350-19za0msu	377	8	table	table	NOUN
cord-005350-19za0msu	377	9	7	7	NUM
cord-005350-19za0msu	377	10	;	;	PUNCT
cord-005350-19za0msu	377	11	the	the	DET
cord-005350-19za0msu	377	12	sir	sir	PROPN
cord-005350-19za0msu	377	13	model	model	NOUN
cord-005350-19za0msu	377	14	calculations	calculation	NOUN
cord-005350-19za0msu	377	15	used	use	VERB
cord-005350-19za0msu	377	16	the	the	DET
cord-005350-19za0msu	377	17	parameters	parameter	NOUN
cord-005350-19za0msu	377	18	in	in	ADP
cord-005350-19za0msu	377	19	table	table	NOUN
cord-005350-19za0msu	377	20	7	7	NUM
cord-005350-19za0msu	377	21	scaled	scale	VERB
cord-005350-19za0msu	377	22	to	to	ADP
cord-005350-19za0msu	377	23	rates	rate	NOUN
cord-005350-19za0msu	377	24	per	per	ADP
cord-005350-19za0msu	377	25	month	month	NOUN
cord-005350-19za0msu	377	26	rapid	rapid	ADJ
cord-005350-19za0msu	377	27	rise	rise	NOUN
cord-005350-19za0msu	377	28	in	in	ADP
cord-005350-19za0msu	377	29	the	the	DET
cord-005350-19za0msu	377	30	mean	mean	NOUN
cord-005350-19za0msu	377	31	following	follow	VERB
cord-005350-19za0msu	377	32	the	the	DET
cord-005350-19za0msu	377	33	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	377	34	delay	delay	NOUN
cord-005350-19za0msu	377	35	,	,	PUNCT
cord-005350-19za0msu	377	36	each	each	DET
cord-005350-19za0msu	377	37	statistic	statistic	NOUN
cord-005350-19za0msu	377	38	exhibits	exhibit	VERB
cord-005350-19za0msu	377	39	another	another	DET
cord-005350-19za0msu	377	40	increase	increase	NOUN
cord-005350-19za0msu	377	41	following	follow	VERB
cord-005350-19za0msu	377	42	the	the	DET
cord-005350-19za0msu	377	43	transcritical	transcritical	ADJ
cord-005350-19za0msu	377	44	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	377	45	.	.	PUNCT
cord-005350-19za0msu	378	1	in	in	ADP
cord-005350-19za0msu	378	2	subcritical	subcritical	ADJ
cord-005350-19za0msu	378	3	sir	sir	PROPN
cord-005350-19za0msu	378	4	systems	system	NOUN
cord-005350-19za0msu	378	5	approaching	approach	VERB
cord-005350-19za0msu	378	6	endemicity	endemicity	NOUN
cord-005350-19za0msu	378	7	,	,	PUNCT
cord-005350-19za0msu	378	8	the	the	DET
cord-005350-19za0msu	378	9	theoretical	theoretical	ADJ
cord-005350-19za0msu	378	10	predictions	prediction	NOUN
cord-005350-19za0msu	378	11	for	for	ADP
cord-005350-19za0msu	378	12	the	the	DET
cord-005350-19za0msu	378	13	sir	sir	PROPN
cord-005350-19za0msu	378	14	model	model	NOUN
cord-005350-19za0msu	378	15	agree	agree	VERB
cord-005350-19za0msu	378	16	with	with	ADP
cord-005350-19za0msu	378	17	standard	standard	ADJ
cord-005350-19za0msu	378	18	expectations	expectation	NOUN
cord-005350-19za0msu	378	19	,	,	PUNCT
cord-005350-19za0msu	378	20	except	except	SCONJ
cord-005350-19za0msu	378	21	for	for	ADP
cord-005350-19za0msu	378	22	the	the	DET
cord-005350-19za0msu	378	23	coefficient	coefficient	NOUN
cord-005350-19za0msu	378	24	of	of	ADP
cord-005350-19za0msu	378	25	variation	variation	NOUN
cord-005350-19za0msu	378	26	,	,	PUNCT
cord-005350-19za0msu	378	27	which	which	PRON
cord-005350-19za0msu	378	28	is	be	AUX
cord-005350-19za0msu	378	29	predicted	predict	VERB
cord-005350-19za0msu	378	30	to	to	PART
cord-005350-19za0msu	378	31	decline	decline	VERB
cord-005350-19za0msu	378	32	(	(	PUNCT
cord-005350-19za0msu	378	33	figs	fig	NOUN
cord-005350-19za0msu	378	34	.	.	PUNCT
cord-005350-19za0msu	379	1	9d	9d	NUM
cord-005350-19za0msu	379	2	-	-	PUNCT
cord-005350-19za0msu	379	3	f	f	NUM
cord-005350-19za0msu	379	4	)	)	PUNCT
cord-005350-19za0msu	379	5	.	.	PUNCT
cord-005350-19za0msu	380	1	the	the	DET
cord-005350-19za0msu	380	2	limiting	limit	VERB
cord-005350-19za0msu	380	3	case	case	NOUN
cord-005350-19za0msu	380	4	theoretical	theoretical	ADJ
cord-005350-19za0msu	380	5	predictions	prediction	NOUN
cord-005350-19za0msu	380	6	for	for	ADP
cord-005350-19za0msu	380	7	the	the	DET
cord-005350-19za0msu	380	8	trends	trend	NOUN
cord-005350-19za0msu	380	9	in	in	ADP
cord-005350-19za0msu	380	10	the	the	DET
cord-005350-19za0msu	380	11	statistics	statistic	NOUN
cord-005350-19za0msu	380	12	for	for	ADP
cord-005350-19za0msu	380	13	sir	sir	PROPN
cord-005350-19za0msu	380	14	systems	system	NOUN
cord-005350-19za0msu	380	15	on	on	ADP
cord-005350-19za0msu	380	16	the	the	DET
cord-005350-19za0msu	380	17	threshold	threshold	NOUN
cord-005350-19za0msu	380	18	of	of	ADP
cord-005350-19za0msu	380	19	emergence	emergence	NOUN
cord-005350-19za0msu	380	20	agree	agree	VERB
cord-005350-19za0msu	380	21	more	more	ADV
cord-005350-19za0msu	380	22	closely	closely	ADV
cord-005350-19za0msu	380	23	with	with	ADP
cord-005350-19za0msu	380	24	the	the	DET
cord-005350-19za0msu	380	25	predictions	prediction	NOUN
cord-005350-19za0msu	380	26	for	for	ADP
cord-005350-19za0msu	380	27	the	the	DET
cord-005350-19za0msu	380	28	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	380	29	about	about	ADP
cord-005350-19za0msu	380	30	the	the	DET
cord-005350-19za0msu	380	31	solution	solution	NOUN
cord-005350-19za0msu	380	32	of	of	ADP
cord-005350-19za0msu	380	33	the	the	DET
cord-005350-19za0msu	380	34	corresponding	correspond	VERB
cord-005350-19za0msu	380	35	sir	sir	NOUN
cord-005350-19za0msu	380	36	fast	fast	ADJ
cord-005350-19za0msu	380	37	-	-	PUNCT
cord-005350-19za0msu	380	38	slow	slow	ADJ
cord-005350-19za0msu	380	39	system	system	NOUN
cord-005350-19za0msu	380	40	,	,	PUNCT
cord-005350-19za0msu	380	41	in	in	ADP
cord-005350-19za0msu	380	42	contrast	contrast	NOUN
cord-005350-19za0msu	380	43	to	to	ADP
cord-005350-19za0msu	380	44	the	the	DET
cord-005350-19za0msu	380	45	sis	sis	NOUN
cord-005350-19za0msu	380	46	model	model	NOUN
cord-005350-19za0msu	380	47	,	,	PUNCT
cord-005350-19za0msu	380	48	because	because	SCONJ
cord-005350-19za0msu	380	49	the	the	DET
cord-005350-19za0msu	380	50	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	380	51	delay	delay	NOUN
cord-005350-19za0msu	380	52	,	,	PUNCT
cord-005350-19za0msu	380	53	although	although	SCONJ
cord-005350-19za0msu	380	54	present	present	ADJ
cord-005350-19za0msu	380	55	,	,	PUNCT
cord-005350-19za0msu	380	56	is	be	AUX
cord-005350-19za0msu	380	57	not	not	PART
cord-005350-19za0msu	380	58	as	as	ADV
cord-005350-19za0msu	380	59	marked	mark	VERB
cord-005350-19za0msu	380	60	as	as	ADP
cord-005350-19za0msu	380	61	that	that	PRON
cord-005350-19za0msu	380	62	in	in	ADP
cord-005350-19za0msu	380	63	the	the	DET
cord-005350-19za0msu	380	64	sis	sis	NOUN
cord-005350-19za0msu	380	65	model	model	NOUN
cord-005350-19za0msu	380	66	.	.	PUNCT
cord-005350-19za0msu	381	1	figure	figure	NOUN
cord-005350-19za0msu	381	2	9d	9d	NUM
cord-005350-19za0msu	381	3	,	,	PUNCT
cord-005350-19za0msu	381	4	e	e	PROPN
cord-005350-19za0msu	381	5	shows	show	VERB
cord-005350-19za0msu	381	6	that	that	SCONJ
cord-005350-19za0msu	381	7	the	the	DET
cord-005350-19za0msu	381	8	monthly	monthly	ADJ
cord-005350-19za0msu	381	9	lag-1	lag-1	PUNCT
cord-005350-19za0msu	381	10	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	381	11	and	and	CCONJ
cord-005350-19za0msu	381	12	the	the	DET
cord-005350-19za0msu	381	13	variance	variance	NOUN
cord-005350-19za0msu	381	14	increase	increase	VERB
cord-005350-19za0msu	381	15	as	as	SCONJ
cord-005350-19za0msu	381	16	the	the	DET
cord-005350-19za0msu	381	17	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	381	18	is	be	AUX
cord-005350-19za0msu	381	19	approached	approach	VERB
cord-005350-19za0msu	381	20	.	.	PUNCT
cord-005350-19za0msu	382	1	it	it	PRON
cord-005350-19za0msu	382	2	is	be	AUX
cord-005350-19za0msu	382	3	not	not	PART
cord-005350-19za0msu	382	4	surprising	surprising	ADJ
cord-005350-19za0msu	382	5	that	that	SCONJ
cord-005350-19za0msu	382	6	the	the	DET
cord-005350-19za0msu	382	7	variance	variance	NOUN
cord-005350-19za0msu	382	8	increases	increase	VERB
cord-005350-19za0msu	382	9	because	because	SCONJ
cord-005350-19za0msu	382	10	the	the	DET
cord-005350-19za0msu	382	11	power	power	NOUN
cord-005350-19za0msu	382	12	spectrum	spectrum	NOUN
cord-005350-19za0msu	382	13	increases	increase	VERB
cord-005350-19za0msu	382	14	in	in	ADP
cord-005350-19za0msu	382	15	power	power	NOUN
cord-005350-19za0msu	382	16	as	as	SCONJ
cord-005350-19za0msu	382	17	the	the	DET
cord-005350-19za0msu	382	18	critical	critical	ADJ
cord-005350-19za0msu	382	19	threshold	threshold	NOUN
cord-005350-19za0msu	382	20	for	for	ADP
cord-005350-19za0msu	382	21	emergence	emergence	NOUN
cord-005350-19za0msu	382	22	is	be	AUX
cord-005350-19za0msu	382	23	approached	approach	VERB
cord-005350-19za0msu	382	24	(	(	PUNCT
cord-005350-19za0msu	382	25	fig	fig	NOUN
cord-005350-19za0msu	382	26	.	.	PUNCT
cord-005350-19za0msu	382	27	7d	7d	NUM
cord-005350-19za0msu	382	28	)	)	PUNCT
cord-005350-19za0msu	382	29	.	.	PUNCT
cord-005350-19za0msu	383	1	however	however	ADV
cord-005350-19za0msu	383	2	,	,	PUNCT
cord-005350-19za0msu	383	3	the	the	DET
cord-005350-19za0msu	383	4	coefficient	coefficient	NOUN
cord-005350-19za0msu	383	5	of	of	ADP
cord-005350-19za0msu	383	6	variation	variation	NOUN
cord-005350-19za0msu	383	7	is	be	AUX
cord-005350-19za0msu	383	8	predicted	predict	VERB
cord-005350-19za0msu	383	9	to	to	PART
cord-005350-19za0msu	383	10	decline	decline	VERB
cord-005350-19za0msu	383	11	,	,	PUNCT
cord-005350-19za0msu	383	12	i.e.	i.e.	X
cord-005350-19za0msu	383	13	,	,	PUNCT
cord-005350-19za0msu	383	14	the	the	DET
cord-005350-19za0msu	383	15	signal	signal	NOUN
cord-005350-19za0msu	383	16	should	should	AUX
cord-005350-19za0msu	383	17	become	become	VERB
cord-005350-19za0msu	383	18	less	less	ADV
cord-005350-19za0msu	383	19	noisy	noisy	ADJ
cord-005350-19za0msu	383	20	with	with	ADP
cord-005350-19za0msu	383	21	decreasing	decrease	VERB
cord-005350-19za0msu	383	22	vaccination	vaccination	NOUN
cord-005350-19za0msu	383	23	uptake	uptake	NOUN
cord-005350-19za0msu	383	24	.	.	PUNCT
cord-005350-19za0msu	384	1	in	in	ADP
cord-005350-19za0msu	384	2	the	the	DET
cord-005350-19za0msu	384	3	context	context	NOUN
cord-005350-19za0msu	384	4	of	of	ADP
cord-005350-19za0msu	384	5	the	the	DET
cord-005350-19za0msu	384	6	power	power	NOUN
cord-005350-19za0msu	384	7	spectrum	spectrum	NOUN
cord-005350-19za0msu	384	8	result	result	NOUN
cord-005350-19za0msu	384	9	,	,	PUNCT
cord-005350-19za0msu	384	10	this	this	PRON
cord-005350-19za0msu	384	11	again	again	ADV
cord-005350-19za0msu	384	12	makes	make	VERB
cord-005350-19za0msu	384	13	sense	sense	NOUN
cord-005350-19za0msu	384	14	because	because	SCONJ
cord-005350-19za0msu	384	15	when	when	SCONJ
cord-005350-19za0msu	384	16	the	the	DET
cord-005350-19za0msu	384	17	system	system	NOUN
cord-005350-19za0msu	384	18	transitions	transition	VERB
cord-005350-19za0msu	384	19	from	from	ADP
cord-005350-19za0msu	384	20	subcritical	subcritical	ADJ
cord-005350-19za0msu	384	21	to	to	ADP
cord-005350-19za0msu	384	22	endemic	endemic	ADJ
cord-005350-19za0msu	384	23	,	,	PUNCT
cord-005350-19za0msu	384	24	the	the	DET
cord-005350-19za0msu	384	25	power	power	NOUN
cord-005350-19za0msu	384	26	spectrum	spectrum	NOUN
cord-005350-19za0msu	384	27	changes	change	NOUN
cord-005350-19za0msu	384	28	from	from	ADP
cord-005350-19za0msu	384	29	a	a	DET
cord-005350-19za0msu	384	30	relatively	relatively	ADV
cord-005350-19za0msu	384	31	flat	flat	ADJ
cord-005350-19za0msu	384	32	shape	shape	NOUN
cord-005350-19za0msu	384	33	to	to	ADP
cord-005350-19za0msu	384	34	one	one	NUM
cord-005350-19za0msu	384	35	with	with	ADP
cord-005350-19za0msu	384	36	a	a	DET
cord-005350-19za0msu	384	37	peak	peak	NOUN
cord-005350-19za0msu	384	38	about	about	ADP
cord-005350-19za0msu	384	39	a	a	DET
cord-005350-19za0msu	384	40	resonant	resonant	ADJ
cord-005350-19za0msu	384	41	frequency	frequency	NOUN
cord-005350-19za0msu	384	42	.	.	PUNCT
cord-005350-19za0msu	385	1	to	to	PART
cord-005350-19za0msu	385	2	examine	examine	VERB
cord-005350-19za0msu	385	3	how	how	SCONJ
cord-005350-19za0msu	385	4	differences	difference	NOUN
cord-005350-19za0msu	385	5	in	in	ADP
cord-005350-19za0msu	385	6	vaccination	vaccination	NOUN
cord-005350-19za0msu	385	7	uptake	uptake	NOUN
cord-005350-19za0msu	385	8	p	p	NOUN
cord-005350-19za0msu	385	9	0	0	PUNCT
cord-005350-19za0msu	385	10	affect	affect	VERB
cord-005350-19za0msu	385	11	the	the	DET
cord-005350-19za0msu	385	12	statistics	statistic	NOUN
cord-005350-19za0msu	385	13	,	,	PUNCT
cord-005350-19za0msu	385	14	we	we	PRON
cord-005350-19za0msu	385	15	varied	vary	VERB
cord-005350-19za0msu	385	16	p	p	NOUN
cord-005350-19za0msu	385	17	0	0	NUM
cord-005350-19za0msu	385	18	by	by	ADP
cord-005350-19za0msu	385	19	1/500	1/500	NUM
cord-005350-19za0msu	385	20	and	and	CCONJ
cord-005350-19za0msu	385	21	1/30	1/30	NUM
cord-005350-19za0msu	385	22	year	year	NOUN
cord-005350-19za0msu	385	23	−1	−1	NOUN
cord-005350-19za0msu	385	24	in	in	ADP
cord-005350-19za0msu	385	25	the	the	DET
cord-005350-19za0msu	385	26	fast	fast	ADV
cord-005350-19za0msu	385	27	-	-	PUNCT
cord-005350-19za0msu	385	28	slow	slow	ADJ
cord-005350-19za0msu	385	29	model	model	NOUN
cord-005350-19za0msu	385	30	.	.	PUNCT
cord-005350-19za0msu	386	1	the	the	DET
cord-005350-19za0msu	386	2	statistics	statistic	NOUN
cord-005350-19za0msu	386	3	predicted	predict	VERB
cord-005350-19za0msu	386	4	by	by	ADP
cord-005350-19za0msu	386	5	the	the	DET
cord-005350-19za0msu	386	6	fast	fast	ADV
cord-005350-19za0msu	386	7	-	-	PUNCT
cord-005350-19za0msu	386	8	slow	slow	ADJ
cord-005350-19za0msu	386	9	theory	theory	NOUN
cord-005350-19za0msu	386	10	do	do	AUX
cord-005350-19za0msu	386	11	not	not	PART
cord-005350-19za0msu	386	12	change	change	VERB
cord-005350-19za0msu	386	13	as	as	ADV
cord-005350-19za0msu	386	14	rapidly	rapidly	ADV
cord-005350-19za0msu	386	15	as	as	SCONJ
cord-005350-19za0msu	386	16	predicted	predict	VERB
cord-005350-19za0msu	386	17	in	in	ADP
cord-005350-19za0msu	386	18	the	the	DET
cord-005350-19za0msu	386	19	→	→	SYM
cord-005350-19za0msu	386	20	0	0	NUM
cord-005350-19za0msu	386	21	theory	theory	NOUN
cord-005350-19za0msu	386	22	.	.	PUNCT
cord-005350-19za0msu	387	1	finally	finally	ADV
cord-005350-19za0msu	387	2	,	,	PUNCT
cord-005350-19za0msu	387	3	we	we	PRON
cord-005350-19za0msu	387	4	did	do	AUX
cord-005350-19za0msu	387	5	not	not	PART
cord-005350-19za0msu	387	6	calculate	calculate	VERB
cord-005350-19za0msu	387	7	the	the	DET
cord-005350-19za0msu	387	8	early	early	ADJ
cord-005350-19za0msu	387	9	warning	warning	NOUN
cord-005350-19za0msu	387	10	signals	signal	NOUN
cord-005350-19za0msu	387	11	for	for	ADP
cord-005350-19za0msu	387	12	the	the	DET
cord-005350-19za0msu	387	13	disease	disease	NOUN
cord-005350-19za0msu	387	14	systems	system	NOUN
cord-005350-19za0msu	387	15	without	without	ADP
cord-005350-19za0msu	387	16	immigration	immigration	NOUN
cord-005350-19za0msu	387	17	because	because	SCONJ
cord-005350-19za0msu	387	18	the	the	DET
cord-005350-19za0msu	387	19	disease	disease	NOUN
cord-005350-19za0msu	387	20	-	-	PUNCT
cord-005350-19za0msu	387	21	free	free	ADJ
cord-005350-19za0msu	387	22	state	state	NOUN
cord-005350-19za0msu	387	23	is	be	AUX
cord-005350-19za0msu	387	24	stable	stable	ADJ
cord-005350-19za0msu	387	25	.	.	PUNCT
cord-005350-19za0msu	388	1	in	in	ADP
cord-005350-19za0msu	388	2	contrast	contrast	NOUN
cord-005350-19za0msu	388	3	to	to	ADP
cord-005350-19za0msu	388	4	disease	disease	NOUN
cord-005350-19za0msu	388	5	systems	system	NOUN
cord-005350-19za0msu	388	6	approaching	approach	VERB
cord-005350-19za0msu	388	7	elimination	elimination	NOUN
cord-005350-19za0msu	388	8	,	,	PUNCT
cord-005350-19za0msu	388	9	the	the	DET
cord-005350-19za0msu	388	10	early	early	ADJ
cord-005350-19za0msu	388	11	warning	warning	NOUN
cord-005350-19za0msu	388	12	signals	signal	NOUN
cord-005350-19za0msu	388	13	for	for	ADP
cord-005350-19za0msu	388	14	diseases	disease	NOUN
cord-005350-19za0msu	388	15	on	on	ADP
cord-005350-19za0msu	388	16	the	the	DET
cord-005350-19za0msu	388	17	verge	verge	NOUN
cord-005350-19za0msu	388	18	of	of	ADP
cord-005350-19za0msu	388	19	emergence	emergence	NOUN
cord-005350-19za0msu	388	20	do	do	AUX
cord-005350-19za0msu	388	21	not	not	PART
cord-005350-19za0msu	388	22	perform	perform	VERB
cord-005350-19za0msu	388	23	well	well	ADV
cord-005350-19za0msu	388	24	.	.	PUNCT
cord-005350-19za0msu	389	1	no	no	DET
cord-005350-19za0msu	389	2	marked	marked	ADJ
cord-005350-19za0msu	389	3	trends	trend	NOUN
cord-005350-19za0msu	389	4	are	be	AUX
cord-005350-19za0msu	389	5	present	present	ADJ
cord-005350-19za0msu	389	6	in	in	ADP
cord-005350-19za0msu	389	7	the	the	DET
cord-005350-19za0msu	389	8	median	median	ADJ
cord-005350-19za0msu	389	9	statistics	statistic	NOUN
cord-005350-19za0msu	389	10	calculated	calculate	VERB
cord-005350-19za0msu	389	11	from	from	ADP
cord-005350-19za0msu	389	12	either	either	PRON
cord-005350-19za0msu	389	13	of	of	ADP
cord-005350-19za0msu	389	14	the	the	DET
cord-005350-19za0msu	389	15	van	van	PROPN
cord-005350-19za0msu	389	16	kampen	kampen	PROPN
cord-005350-19za0msu	389	17	or	or	CCONJ
cord-005350-19za0msu	389	18	gaussian	gaussian	ADJ
cord-005350-19za0msu	389	19	detrending	detrending	NOUN
cord-005350-19za0msu	389	20	approaches	approach	NOUN
cord-005350-19za0msu	389	21	,	,	PUNCT
cord-005350-19za0msu	389	22	with	with	ADP
cord-005350-19za0msu	389	23	the	the	DET
cord-005350-19za0msu	389	24	exception	exception	NOUN
cord-005350-19za0msu	389	25	that	that	SCONJ
cord-005350-19za0msu	389	26	the	the	DET
cord-005350-19za0msu	389	27	variance	variance	NOUN
cord-005350-19za0msu	389	28	of	of	ADP
cord-005350-19za0msu	389	29	the	the	DET
cord-005350-19za0msu	389	30	sis	sis	NOUN
cord-005350-19za0msu	389	31	and	and	CCONJ
cord-005350-19za0msu	389	32	sir	sir	PROPN
cord-005350-19za0msu	389	33	systems	system	NOUN
cord-005350-19za0msu	389	34	approaching	approach	VERB
cord-005350-19za0msu	389	35	emergence	emergence	NOUN
cord-005350-19za0msu	389	36	(	(	PUNCT
cord-005350-19za0msu	389	37	figs	fig	NOUN
cord-005350-19za0msu	389	38	.	.	PUNCT
cord-005350-19za0msu	389	39	13c	13c	NUM
cord-005350-19za0msu	389	40	,	,	PUNCT
cord-005350-19za0msu	389	41	d	d	NOUN
cord-005350-19za0msu	389	42	and	and	CCONJ
cord-005350-19za0msu	389	43	14c	14c	PROPN
cord-005350-19za0msu	389	44	,	,	PUNCT
cord-005350-19za0msu	389	45	d	d	PROPN
cord-005350-19za0msu	389	46	)	)	PUNCT
cord-005350-19za0msu	389	47	increases	increase	VERB
cord-005350-19za0msu	389	48	slightly	slightly	ADV
cord-005350-19za0msu	389	49	.	.	PUNCT
cord-005350-19za0msu	390	1	the	the	DET
cord-005350-19za0msu	390	2	95	95	NUM
cord-005350-19za0msu	390	3	%	%	NOUN
cord-005350-19za0msu	390	4	prediction	prediction	NOUN
cord-005350-19za0msu	390	5	intervals	interval	NOUN
cord-005350-19za0msu	390	6	for	for	ADP
cord-005350-19za0msu	390	7	each	each	DET
cord-005350-19za0msu	390	8	statistic	statistic	NOUN
cord-005350-19za0msu	390	9	further	far	ADV
cord-005350-19za0msu	390	10	show	show	NOUN
cord-005350-19za0msu	390	11	that	that	SCONJ
cord-005350-19za0msu	390	12	all	all	DET
cord-005350-19za0msu	390	13	the	the	DET
cord-005350-19za0msu	390	14	statistics	statistic	NOUN
cord-005350-19za0msu	390	15	are	be	AUX
cord-005350-19za0msu	390	16	highly	highly	ADV
cord-005350-19za0msu	390	17	variable	variable	ADJ
cord-005350-19za0msu	390	18	.	.	PUNCT
cord-005350-19za0msu	391	1	moreover	moreover	ADV
cord-005350-19za0msu	391	2	,	,	PUNCT
cord-005350-19za0msu	391	3	the	the	DET
cord-005350-19za0msu	391	4	roc	roc	PROPN
cord-005350-19za0msu	391	5	curves	curve	NOUN
cord-005350-19za0msu	391	6	indicate	indicate	VERB
cord-005350-19za0msu	391	7	that	that	SCONJ
cord-005350-19za0msu	391	8	it	it	PRON
cord-005350-19za0msu	391	9	may	may	AUX
cord-005350-19za0msu	391	10	,	,	PUNCT
cord-005350-19za0msu	391	11	in	in	ADP
cord-005350-19za0msu	391	12	general	general	ADJ
cord-005350-19za0msu	391	13	,	,	PUNCT
cord-005350-19za0msu	391	14	be	be	AUX
cord-005350-19za0msu	391	15	difficult	difficult	ADJ
cord-005350-19za0msu	391	16	to	to	PART
cord-005350-19za0msu	391	17	distinguish	distinguish	VERB
cord-005350-19za0msu	391	18	between	between	ADP
cord-005350-19za0msu	391	19	subcritical	subcritical	ADJ
cord-005350-19za0msu	391	20	systems	system	NOUN
cord-005350-19za0msu	391	21	with	with	ADP
cord-005350-19za0msu	391	22	r	r	NOUN
cord-005350-19za0msu	391	23	0	0	NUM
cord-005350-19za0msu	391	24	<	<	SYM
cord-005350-19za0msu	391	25	1	1	NUM
cord-005350-19za0msu	391	26	and	and	CCONJ
cord-005350-19za0msu	391	27	endemic	endemic	ADJ
cord-005350-19za0msu	391	28	disease	disease	NOUN
cord-005350-19za0msu	391	29	systems	system	NOUN
cord-005350-19za0msu	391	30	with	with	ADP
cord-005350-19za0msu	391	31	r	r	NOUN
cord-005350-19za0msu	391	32	0	0	PUNCT
cord-005350-19za0msu	391	33	>	>	SYM
cord-005350-19za0msu	391	34	1	1	NUM
cord-005350-19za0msu	391	35	(	(	PUNCT
cord-005350-19za0msu	391	36	figs	fig	NOUN
cord-005350-19za0msu	391	37	.	.	PUNCT
cord-005350-19za0msu	391	38	13b	13b	NOUN
cord-005350-19za0msu	391	39	,	,	PUNCT
cord-005350-19za0msu	391	40	d	d	NOUN
cord-005350-19za0msu	391	41	,	,	PUNCT
cord-005350-19za0msu	391	42	f	f	PROPN
cord-005350-19za0msu	391	43	and	and	CCONJ
cord-005350-19za0msu	391	44	14b	14b	PROPN
cord-005350-19za0msu	391	45	,	,	PUNCT
cord-005350-19za0msu	391	46	d	d	PROPN
cord-005350-19za0msu	391	47	,	,	PUNCT
cord-005350-19za0msu	391	48	f	f	NUM
cord-005350-19za0msu	391	49	)	)	PUNCT
cord-005350-19za0msu	391	50	.	.	PUNCT
cord-005350-19za0msu	392	1	the	the	DET
cord-005350-19za0msu	392	2	roc	roc	PROPN
cord-005350-19za0msu	392	3	curves	curves	PROPN
cord-005350-19za0msu	392	4	show	show	VERB
cord-005350-19za0msu	392	5	that	that	SCONJ
cord-005350-19za0msu	392	6	the	the	DET
cord-005350-19za0msu	392	7	distributions	distribution	NOUN
cord-005350-19za0msu	392	8	of	of	ADP
cord-005350-19za0msu	392	9	kendall	kendall	PROPN
cord-005350-19za0msu	392	10	's	's	PART
cord-005350-19za0msu	392	11	correlation	correlation	NOUN
cord-005350-19za0msu	392	12	coefficient	coefficient	NOUN
cord-005350-19za0msu	392	13	generated	generate	VERB
cord-005350-19za0msu	392	14	from	from	ADP
cord-005350-19za0msu	392	15	stable	stable	ADJ
cord-005350-19za0msu	392	16	systems	system	NOUN
cord-005350-19za0msu	392	17	and	and	CCONJ
cord-005350-19za0msu	392	18	systems	system	NOUN
cord-005350-19za0msu	392	19	approaching	approach	VERB
cord-005350-19za0msu	392	20	a	a	DET
cord-005350-19za0msu	392	21	critical	critical	ADJ
cord-005350-19za0msu	392	22	transition	transition	NOUN
cord-005350-19za0msu	392	23	overlap	overlap	VERB
cord-005350-19za0msu	392	24	significantly	significantly	ADV
cord-005350-19za0msu	392	25	.	.	PUNCT
cord-005350-19za0msu	393	1	however	however	ADV
cord-005350-19za0msu	393	2	,	,	PUNCT
cord-005350-19za0msu	393	3	we	we	PRON
cord-005350-19za0msu	393	4	are	be	AUX
cord-005350-19za0msu	393	5	conservative	conservative	ADJ
cord-005350-19za0msu	393	6	in	in	ADP
cord-005350-19za0msu	393	7	our	our	PRON
cord-005350-19za0msu	393	8	approach	approach	NOUN
cord-005350-19za0msu	393	9	because	because	SCONJ
cord-005350-19za0msu	393	10	we	we	PRON
cord-005350-19za0msu	393	11	take	take	VERB
cord-005350-19za0msu	393	12	only	only	ADV
cord-005350-19za0msu	393	13	the	the	DET
cord-005350-19za0msu	393	14	years	year	NOUN
cord-005350-19za0msu	393	15	up	up	ADP
cord-005350-19za0msu	393	16	to	to	ADP
cord-005350-19za0msu	393	17	the	the	DET
cord-005350-19za0msu	393	18	critical	critical	ADJ
cord-005350-19za0msu	393	19	transition	transition	NOUN
cord-005350-19za0msu	393	20	in	in	ADP
cord-005350-19za0msu	393	21	the	the	DET
cord-005350-19za0msu	393	22	absence	absence	NOUN
cord-005350-19za0msu	393	23	of	of	ADP
cord-005350-19za0msu	393	24	immigration	immigration	NOUN
cord-005350-19za0msu	393	25	,	,	PUNCT
cord-005350-19za0msu	393	26	and	and	CCONJ
cord-005350-19za0msu	393	27	not	not	PART
cord-005350-19za0msu	393	28	the	the	DET
cord-005350-19za0msu	393	29	years	year	NOUN
cord-005350-19za0msu	393	30	after	after	ADP
cord-005350-19za0msu	393	31	,	,	PUNCT
cord-005350-19za0msu	393	32	when	when	SCONJ
cord-005350-19za0msu	393	33	a	a	DET
cord-005350-19za0msu	393	34	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	393	35	delay	delay	NOUN
cord-005350-19za0msu	393	36	may	may	AUX
cord-005350-19za0msu	393	37	occur	occur	VERB
cord-005350-19za0msu	393	38	,	,	PUNCT
cord-005350-19za0msu	393	39	during	during	ADP
cord-005350-19za0msu	393	40	which	which	DET
cord-005350-19za0msu	393	41	time	time	NOUN
cord-005350-19za0msu	393	42	prevalence	prevalence	NOUN
cord-005350-19za0msu	393	43	remains	remain	VERB
cord-005350-19za0msu	393	44	low	low	ADJ
cord-005350-19za0msu	393	45	and	and	CCONJ
cord-005350-19za0msu	393	46	so	so	ADV
cord-005350-19za0msu	393	47	the	the	DET
cord-005350-19za0msu	393	48	mean	mean	ADJ
cord-005350-19za0msu	393	49	prevalence	prevalence	NOUN
cord-005350-19za0msu	393	50	may	may	AUX
cord-005350-19za0msu	393	51	not	not	PART
cord-005350-19za0msu	393	52	increase	increase	VERB
cord-005350-19za0msu	393	53	for	for	ADP
cord-005350-19za0msu	393	54	a	a	DET
cord-005350-19za0msu	393	55	long	long	ADJ
cord-005350-19za0msu	393	56	time	time	NOUN
cord-005350-19za0msu	393	57	after	after	ADP
cord-005350-19za0msu	393	58	the	the	DET
cord-005350-19za0msu	393	59	transition	transition	NOUN
cord-005350-19za0msu	393	60	.	.	PUNCT
cord-005350-19za0msu	394	1	therefore	therefore	ADV
cord-005350-19za0msu	394	2	,	,	PUNCT
cord-005350-19za0msu	394	3	it	it	PRON
cord-005350-19za0msu	394	4	is	be	AUX
cord-005350-19za0msu	394	5	not	not	PART
cord-005350-19za0msu	394	6	surprising	surprising	ADJ
cord-005350-19za0msu	394	7	that	that	SCONJ
cord-005350-19za0msu	394	8	it	it	PRON
cord-005350-19za0msu	394	9	is	be	AUX
cord-005350-19za0msu	394	10	difficult	difficult	ADJ
cord-005350-19za0msu	394	11	to	to	PART
cord-005350-19za0msu	394	12	distinguish	distinguish	VERB
cord-005350-19za0msu	394	13	between	between	ADP
cord-005350-19za0msu	394	14	the	the	DET
cord-005350-19za0msu	394	15	subcritical	subcritical	ADJ
cord-005350-19za0msu	394	16	and	and	CCONJ
cord-005350-19za0msu	394	17	supercritical	supercritical	ADJ
cord-005350-19za0msu	394	18	systems	system	NOUN
cord-005350-19za0msu	394	19	.	.	PUNCT
cord-005350-19za0msu	395	1	the	the	DET
cord-005350-19za0msu	395	2	transmission	transmission	NOUN
cord-005350-19za0msu	395	3	of	of	ADP
cord-005350-19za0msu	395	4	infectious	infectious	ADJ
cord-005350-19za0msu	395	5	diseases	disease	NOUN
cord-005350-19za0msu	395	6	is	be	AUX
cord-005350-19za0msu	395	7	a	a	DET
cord-005350-19za0msu	395	8	paradigm	paradigm	ADJ
cord-005350-19za0msu	395	9	example	example	NOUN
cord-005350-19za0msu	395	10	of	of	ADP
cord-005350-19za0msu	395	11	a	a	DET
cord-005350-19za0msu	395	12	low	low	ADV
cord-005350-19za0msu	395	13	-	-	PUNCT
cord-005350-19za0msu	395	14	dimensional	dimensional	ADJ
cord-005350-19za0msu	395	15	,	,	PUNCT
cord-005350-19za0msu	395	16	noisy	noisy	ADJ
cord-005350-19za0msu	395	17	,	,	PUNCT
cord-005350-19za0msu	395	18	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	395	19	dynamical	dynamical	ADJ
cord-005350-19za0msu	395	20	process	process	NOUN
cord-005350-19za0msu	395	21	.	.	PUNCT
cord-005350-19za0msu	396	1	critical	critical	ADJ
cord-005350-19za0msu	396	2	transitions	transition	NOUN
cord-005350-19za0msu	396	3	in	in	ADP
cord-005350-19za0msu	396	4	infectious	infectious	ADJ
cord-005350-19za0msu	396	5	disease	disease	NOUN
cord-005350-19za0msu	396	6	systems	system	NOUN
cord-005350-19za0msu	396	7	,	,	PUNCT
cord-005350-19za0msu	396	8	which	which	PRON
cord-005350-19za0msu	396	9	correspond	correspond	VERB
cord-005350-19za0msu	396	10	to	to	ADP
cord-005350-19za0msu	396	11	such	such	ADJ
cord-005350-19za0msu	396	12	socially	socially	ADV
cord-005350-19za0msu	396	13	important	important	ADJ
cord-005350-19za0msu	396	14	events	event	NOUN
cord-005350-19za0msu	396	15	as	as	ADP
cord-005350-19za0msu	396	16	the	the	DET
cord-005350-19za0msu	396	17	emergence	emergence	NOUN
cord-005350-19za0msu	396	18	of	of	ADP
cord-005350-19za0msu	396	19	novel	novel	ADJ
cord-005350-19za0msu	396	20	pathogens	pathogen	NOUN
cord-005350-19za0msu	396	21	and	and	CCONJ
cord-005350-19za0msu	396	22	the	the	DET
cord-005350-19za0msu	396	23	elimination	elimination	NOUN
cord-005350-19za0msu	396	24	of	of	ADP
cord-005350-19za0msu	396	25	disease	disease	NOUN
cord-005350-19za0msu	396	26	,	,	PUNCT
cord-005350-19za0msu	396	27	are	be	AUX
cord-005350-19za0msu	396	28	of	of	ADP
cord-005350-19za0msu	396	29	special	special	ADJ
cord-005350-19za0msu	396	30	interest	interest	NOUN
cord-005350-19za0msu	396	31	.	.	PUNCT
cord-005350-19za0msu	397	1	the	the	DET
cord-005350-19za0msu	397	2	development	development	NOUN
cord-005350-19za0msu	397	3	of	of	ADP
cord-005350-19za0msu	397	4	early	early	ADJ
cord-005350-19za0msu	397	5	warning	warning	NOUN
cord-005350-19za0msu	397	6	signals	signal	NOUN
cord-005350-19za0msu	397	7	of	of	ADP
cord-005350-19za0msu	397	8	emerging	emerge	VERB
cord-005350-19za0msu	397	9	infectious	infectious	ADJ
cord-005350-19za0msu	397	10	diseases	disease	NOUN
cord-005350-19za0msu	397	11	and	and	CCONJ
cord-005350-19za0msu	397	12	leading	leading	ADJ
cord-005350-19za0msu	397	13	indicators	indicator	NOUN
cord-005350-19za0msu	397	14	for	for	ADP
cord-005350-19za0msu	397	15	disease	disease	NOUN
cord-005350-19za0msu	397	16	elimination	elimination	NOUN
cord-005350-19za0msu	397	17	,	,	PUNCT
cord-005350-19za0msu	397	18	particularly	particularly	ADV
cord-005350-19za0msu	397	19	,	,	PUNCT
cord-005350-19za0msu	397	20	would	would	AUX
cord-005350-19za0msu	397	21	be	be	AUX
cord-005350-19za0msu	397	22	of	of	ADP
cord-005350-19za0msu	397	23	tremendous	tremendous	ADJ
cord-005350-19za0msu	397	24	value	value	NOUN
cord-005350-19za0msu	397	25	to	to	ADP
cord-005350-19za0msu	397	26	the	the	DET
cord-005350-19za0msu	397	27	advance	advance	NOUN
cord-005350-19za0msu	397	28	of	of	ADP
cord-005350-19za0msu	397	29	public	public	ADJ
cord-005350-19za0msu	397	30	health	health	NOUN
cord-005350-19za0msu	397	31	.	.	PUNCT
cord-005350-19za0msu	398	1	the	the	DET
cord-005350-19za0msu	398	2	goal	goal	NOUN
cord-005350-19za0msu	398	3	of	of	ADP
cord-005350-19za0msu	398	4	our	our	PRON
cord-005350-19za0msu	398	5	study	study	NOUN
cord-005350-19za0msu	398	6	was	be	AUX
cord-005350-19za0msu	398	7	to	to	PART
cord-005350-19za0msu	398	8	develop	develop	VERB
cord-005350-19za0msu	398	9	the	the	DET
cord-005350-19za0msu	398	10	theory	theory	NOUN
cord-005350-19za0msu	398	11	of	of	ADP
cord-005350-19za0msu	398	12	such	such	ADJ
cord-005350-19za0msu	398	13	early	early	ADJ
cord-005350-19za0msu	398	14	warning	warning	NOUN
cord-005350-19za0msu	398	15	signals	signal	NOUN
cord-005350-19za0msu	398	16	and	and	CCONJ
cord-005350-19za0msu	398	17	leading	leading	ADJ
cord-005350-19za0msu	398	18	indicators	indicator	NOUN
cord-005350-19za0msu	398	19	for	for	ADP
cord-005350-19za0msu	398	20	infectious	infectious	ADJ
cord-005350-19za0msu	398	21	disease	disease	NOUN
cord-005350-19za0msu	398	22	transmission	transmission	NOUN
cord-005350-19za0msu	398	23	systems	system	NOUN
cord-005350-19za0msu	398	24	that	that	PRON
cord-005350-19za0msu	398	25	meet	meet	VERB
cord-005350-19za0msu	398	26	the	the	DET
cord-005350-19za0msu	398	27	assumptions	assumption	NOUN
cord-005350-19za0msu	398	28	of	of	ADP
cord-005350-19za0msu	398	29	the	the	DET
cord-005350-19za0msu	398	30	familiar	familiar	ADJ
cord-005350-19za0msu	398	31	sis	sis	NOUN
cord-005350-19za0msu	398	32	and	and	CCONJ
cord-005350-19za0msu	398	33	sir	sir	NOUN
cord-005350-19za0msu	398	34	models	model	NOUN
cord-005350-19za0msu	398	35	and	and	CCONJ
cord-005350-19za0msu	398	36	which	which	PRON
cord-005350-19za0msu	398	37	are	be	AUX
cord-005350-19za0msu	398	38	forced	force	VERB
cord-005350-19za0msu	398	39	through	through	ADP
cord-005350-19za0msu	398	40	a	a	DET
cord-005350-19za0msu	398	41	critical	critical	ADJ
cord-005350-19za0msu	398	42	transition	transition	NOUN
cord-005350-19za0msu	398	43	by	by	ADP
cord-005350-19za0msu	398	44	changes	change	NOUN
cord-005350-19za0msu	398	45	in	in	ADP
cord-005350-19za0msu	398	46	transmission	transmission	NOUN
cord-005350-19za0msu	398	47	.	.	PUNCT
cord-005350-19za0msu	399	1	our	our	PRON
cord-005350-19za0msu	399	2	main	main	ADJ
cord-005350-19za0msu	399	3	result	result	NOUN
cord-005350-19za0msu	399	4	-	-	PUNCT
cord-005350-19za0msu	399	5	analytical	analytical	ADJ
cord-005350-19za0msu	399	6	expressions	expression	NOUN
cord-005350-19za0msu	399	7	for	for	ADP
cord-005350-19za0msu	399	8	the	the	DET
cord-005350-19za0msu	399	9	change	change	NOUN
cord-005350-19za0msu	399	10	in	in	ADP
cord-005350-19za0msu	399	11	observable	observable	ADJ
cord-005350-19za0msu	399	12	statistics	statistic	NOUN
cord-005350-19za0msu	399	13	as	as	SCONJ
cord-005350-19za0msu	399	14	the	the	DET
cord-005350-19za0msu	399	15	transmission	transmission	NOUN
cord-005350-19za0msu	399	16	system	system	NOUN
cord-005350-19za0msu	399	17	approaches	approach	VERB
cord-005350-19za0msu	399	18	the	the	DET
cord-005350-19za0msu	399	19	critical	critical	ADJ
cord-005350-19za0msu	399	20	transition	transition	NOUN
cord-005350-19za0msu	399	21	-	-	PUNCT
cord-005350-19za0msu	399	22	are	be	AUX
cord-005350-19za0msu	399	23	reported	report	VERB
cord-005350-19za0msu	399	24	in	in	ADP
cord-005350-19za0msu	399	25	table	table	NOUN
cord-005350-19za0msu	399	26	4	4	NUM
cord-005350-19za0msu	399	27	.	.	PUNCT
cord-005350-19za0msu	400	1	b	b	X
cord-005350-19za0msu	400	2	a	a	DET
cord-005350-19za0msu	400	3	d	d	X
cord-005350-19za0msu	400	4	c	c	X
cord-005350-19za0msu	400	5	f	f	X
cord-005350-19za0msu	400	6	e	e	PROPN
cord-005350-19za0msu	400	7	fig	fig	PROPN
cord-005350-19za0msu	400	8	.	.	PUNCT
cord-005350-19za0msu	401	1	10	10	NUM
cord-005350-19za0msu	401	2	performance	performance	NOUN
cord-005350-19za0msu	401	3	of	of	ADP
cord-005350-19za0msu	401	4	the	the	DET
cord-005350-19za0msu	401	5	statistics	statistic	NOUN
cord-005350-19za0msu	401	6	over	over	ADP
cord-005350-19za0msu	401	7	a	a	DET
cord-005350-19za0msu	401	8	moving	move	VERB
cord-005350-19za0msu	401	9	window	window	NOUN
cord-005350-19za0msu	401	10	for	for	ADP
cord-005350-19za0msu	401	11	the	the	DET
cord-005350-19za0msu	401	12	sis	sis	NOUN
cord-005350-19za0msu	401	13	system	system	NOUN
cord-005350-19za0msu	401	14	approaching	approach	VERB
cord-005350-19za0msu	401	15	elimination	elimination	NOUN
cord-005350-19za0msu	401	16	,	,	PUNCT
cord-005350-19za0msu	401	17	assuming	assume	VERB
cord-005350-19za0msu	401	18	that	that	SCONJ
cord-005350-19za0msu	401	19	immigration	immigration	NOUN
cord-005350-19za0msu	401	20	occurs	occur	VERB
cord-005350-19za0msu	401	21	(	(	PUNCT
cord-005350-19za0msu	401	22	η	η	NOUN
cord-005350-19za0msu	401	23	>	>	PUNCT
cord-005350-19za0msu	401	24	0	0	NUM
cord-005350-19za0msu	401	25	)	)	PUNCT
cord-005350-19za0msu	401	26	.	.	PUNCT
cord-005350-19za0msu	402	1	panels	panel	NOUN
cord-005350-19za0msu	402	2	a	a	PRON
cord-005350-19za0msu	402	3	,	,	PUNCT
cord-005350-19za0msu	402	4	c	c	PROPN
cord-005350-19za0msu	402	5	,	,	PUNCT
cord-005350-19za0msu	402	6	and	and	CCONJ
cord-005350-19za0msu	402	7	e	e	X
cord-005350-19za0msu	402	8	show	show	VERB
cord-005350-19za0msu	402	9	the	the	DET
cord-005350-19za0msu	402	10	median	median	ADJ
cord-005350-19za0msu	402	11	statistics	statistic	NOUN
cord-005350-19za0msu	402	12	(	(	PUNCT
cord-005350-19za0msu	402	13	thick	thick	ADJ
cord-005350-19za0msu	402	14	lines	line	NOUN
cord-005350-19za0msu	402	15	)	)	PUNCT
cord-005350-19za0msu	402	16	and	and	CCONJ
cord-005350-19za0msu	402	17	95	95	NUM
cord-005350-19za0msu	402	18	%	%	NOUN
cord-005350-19za0msu	402	19	prediction	prediction	NOUN
cord-005350-19za0msu	402	20	intervals	interval	NOUN
cord-005350-19za0msu	402	21	(	(	PUNCT
cord-005350-19za0msu	402	22	shaded	shaded	ADJ
cord-005350-19za0msu	402	23	regions	region	NOUN
cord-005350-19za0msu	402	24	)	)	PUNCT
cord-005350-19za0msu	402	25	.	.	PUNCT
cord-005350-19za0msu	403	1	the	the	PRON
cord-005350-19za0msu	403	2	lag-1	lag-1	PUNCT
cord-005350-19za0msu	403	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	403	4	and	and	CCONJ
cord-005350-19za0msu	403	5	variance	variance	NOUN
cord-005350-19za0msu	403	6	have	have	AUX
cord-005350-19za0msu	403	7	been	be	AUX
cord-005350-19za0msu	403	8	calculated	calculate	VERB
cord-005350-19za0msu	403	9	from	from	ADP
cord-005350-19za0msu	403	10	the	the	DET
cord-005350-19za0msu	403	11	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	403	12	obtained	obtain	VERB
cord-005350-19za0msu	403	13	from	from	ADP
cord-005350-19za0msu	403	14	van	van	PROPN
cord-005350-19za0msu	403	15	kampen	kampen	PROPN
cord-005350-19za0msu	403	16	and	and	CCONJ
cord-005350-19za0msu	403	17	gaussian	gaussian	ADJ
cord-005350-19za0msu	403	18	detrending	detrending	NOUN
cord-005350-19za0msu	403	19	.	.	PUNCT
cord-005350-19za0msu	404	1	the	the	DET
cord-005350-19za0msu	404	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	404	3	of	of	ADP
cord-005350-19za0msu	404	4	variation	variation	NOUN
cord-005350-19za0msu	404	5	(	(	PUNCT
cord-005350-19za0msu	404	6	cv	cv	NOUN
cord-005350-19za0msu	404	7	)	)	PUNCT
cord-005350-19za0msu	404	8	is	be	AUX
cord-005350-19za0msu	404	9	marked	mark	VERB
cord-005350-19za0msu	404	10	in	in	ADP
cord-005350-19za0msu	404	11	dashed	dash	VERB
cord-005350-19za0msu	404	12	green	green	ADJ
cord-005350-19za0msu	404	13	line	line	NOUN
cord-005350-19za0msu	404	14	to	to	PART
cord-005350-19za0msu	404	15	indicate	indicate	VERB
cord-005350-19za0msu	404	16	that	that	SCONJ
cord-005350-19za0msu	404	17	it	it	PRON
cord-005350-19za0msu	404	18	was	be	AUX
cord-005350-19za0msu	404	19	calculated	calculate	VERB
cord-005350-19za0msu	404	20	from	from	ADP
cord-005350-19za0msu	404	21	the	the	DET
cord-005350-19za0msu	404	22	raw	raw	ADJ
cord-005350-19za0msu	404	23	time	time	NOUN
cord-005350-19za0msu	404	24	series	series	NOUN
cord-005350-19za0msu	404	25	,	,	PUNCT
cord-005350-19za0msu	404	26	not	not	PART
cord-005350-19za0msu	404	27	the	the	DET
cord-005350-19za0msu	404	28	deviations	deviation	NOUN
cord-005350-19za0msu	404	29	from	from	ADP
cord-005350-19za0msu	404	30	the	the	DET
cord-005350-19za0msu	404	31	mean	mean	NOUN
cord-005350-19za0msu	404	32	.	.	PUNCT
cord-005350-19za0msu	405	1	the	the	DET
cord-005350-19za0msu	405	2	dashed	dash	VERB
cord-005350-19za0msu	405	3	vertical	vertical	ADJ
cord-005350-19za0msu	405	4	line	line	NOUN
cord-005350-19za0msu	405	5	marks	mark	NOUN
cord-005350-19za0msu	405	6	the	the	DET
cord-005350-19za0msu	405	7	time	time	NOUN
cord-005350-19za0msu	405	8	of	of	ADP
cord-005350-19za0msu	405	9	the	the	DET
cord-005350-19za0msu	405	10	transcritical	transcritical	ADJ
cord-005350-19za0msu	405	11	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	405	12	in	in	ADP
cord-005350-19za0msu	405	13	the	the	DET
cord-005350-19za0msu	405	14	→	→	SYM
cord-005350-19za0msu	405	15	0	0	NUM
cord-005350-19za0msu	405	16	limiting	limit	VERB
cord-005350-19za0msu	405	17	case	case	NOUN
cord-005350-19za0msu	405	18	with	with	ADP
cord-005350-19za0msu	405	19	η	η	NOUN
cord-005350-19za0msu	405	20	=	=	X
cord-005350-19za0msu	405	21	0	0	NUM
cord-005350-19za0msu	405	22	.	.	PUNCT
cord-005350-19za0msu	406	1	panels	panel	NOUN
cord-005350-19za0msu	406	2	b	b	PROPN
cord-005350-19za0msu	406	3	,	,	PUNCT
cord-005350-19za0msu	406	4	d	d	PROPN
cord-005350-19za0msu	406	5	,	,	PUNCT
cord-005350-19za0msu	406	6	and	and	CCONJ
cord-005350-19za0msu	406	7	f	f	PROPN
cord-005350-19za0msu	406	8	show	show	VERB
cord-005350-19za0msu	406	9	the	the	DET
cord-005350-19za0msu	406	10	corresponding	correspond	VERB
cord-005350-19za0msu	406	11	roc	roc	PROPN
cord-005350-19za0msu	406	12	curves	curve	NOUN
cord-005350-19za0msu	406	13	.	.	PUNCT
cord-005350-19za0msu	407	1	the	the	DET
cord-005350-19za0msu	407	2	auc	auc	PROPN
cord-005350-19za0msu	407	3	value	value	NOUN
cord-005350-19za0msu	407	4	indicates	indicate	VERB
cord-005350-19za0msu	407	5	the	the	DET
cord-005350-19za0msu	407	6	area	area	NOUN
cord-005350-19za0msu	407	7	under	under	ADP
cord-005350-19za0msu	407	8	the	the	DET
cord-005350-19za0msu	407	9	corresponding	corresponding	ADJ
cord-005350-19za0msu	407	10	roc	roc	PROPN
cord-005350-19za0msu	407	11	curve	curve	NOUN
cord-005350-19za0msu	407	12	.	.	PUNCT
cord-005350-19za0msu	408	1	all	all	DET
cord-005350-19za0msu	408	2	curves	curve	NOUN
cord-005350-19za0msu	408	3	are	be	AUX
cord-005350-19za0msu	408	4	above	above	ADP
cord-005350-19za0msu	408	5	the	the	DET
cord-005350-19za0msu	408	6	black	black	ADJ
cord-005350-19za0msu	408	7	line	line	NOUN
cord-005350-19za0msu	408	8	,	,	PUNCT
cord-005350-19za0msu	408	9	showing	show	VERB
cord-005350-19za0msu	408	10	that	that	SCONJ
cord-005350-19za0msu	408	11	the	the	DET
cord-005350-19za0msu	408	12	indicators	indicator	NOUN
cord-005350-19za0msu	408	13	behave	behave	VERB
cord-005350-19za0msu	408	14	better	well	ADJ
cord-005350-19za0msu	408	15	than	than	ADP
cord-005350-19za0msu	408	16	chance	chance	NOUN
cord-005350-19za0msu	408	17	in	in	ADP
cord-005350-19za0msu	408	18	distinguishing	distinguish	VERB
cord-005350-19za0msu	408	19	between	between	ADP
cord-005350-19za0msu	408	20	realizations	realization	NOUN
cord-005350-19za0msu	408	21	that	that	PRON
cord-005350-19za0msu	408	22	have	have	AUX
cord-005350-19za0msu	408	23	been	be	AUX
cord-005350-19za0msu	408	24	generated	generate	VERB
cord-005350-19za0msu	408	25	by	by	ADP
cord-005350-19za0msu	408	26	the	the	DET
cord-005350-19za0msu	408	27	null	null	NOUN
cord-005350-19za0msu	408	28	and	and	CCONJ
cord-005350-19za0msu	408	29	test	test	NOUN
cord-005350-19za0msu	408	30	models	model	NOUN
cord-005350-19za0msu	408	31	.	.	PUNCT
cord-005350-19za0msu	409	1	however	however	ADV
cord-005350-19za0msu	409	2	,	,	PUNCT
cord-005350-19za0msu	409	3	the	the	DET
cord-005350-19za0msu	409	4	gaussian	gaussian	ADJ
cord-005350-19za0msu	409	5	filtering	filtering	NOUN
cord-005350-19za0msu	409	6	may	may	AUX
cord-005350-19za0msu	409	7	not	not	PART
cord-005350-19za0msu	409	8	be	be	AUX
cord-005350-19za0msu	409	9	an	an	DET
cord-005350-19za0msu	409	10	appropriate	appropriate	ADJ
cord-005350-19za0msu	409	11	method	method	NOUN
cord-005350-19za0msu	409	12	to	to	PART
cord-005350-19za0msu	409	13	obtain	obtain	VERB
cord-005350-19za0msu	409	14	the	the	DET
cord-005350-19za0msu	409	15	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	409	16	,	,	PUNCT
cord-005350-19za0msu	409	17	because	because	SCONJ
cord-005350-19za0msu	409	18	it	it	PRON
cord-005350-19za0msu	409	19	does	do	AUX
cord-005350-19za0msu	409	20	not	not	PART
cord-005350-19za0msu	409	21	remove	remove	VERB
cord-005350-19za0msu	409	22	the	the	DET
cord-005350-19za0msu	409	23	slowly	slowly	ADV
cord-005350-19za0msu	409	24	varying	vary	VERB
cord-005350-19za0msu	409	25	trend	trend	NOUN
cord-005350-19za0msu	409	26	close	close	ADJ
cord-005350-19za0msu	409	27	to	to	ADP
cord-005350-19za0msu	409	28	the	the	DET
cord-005350-19za0msu	409	29	transition	transition	NOUN
cord-005350-19za0msu	409	30	,	,	PUNCT
cord-005350-19za0msu	409	31	as	as	SCONJ
cord-005350-19za0msu	409	32	exhibited	exhibit	VERB
cord-005350-19za0msu	409	33	by	by	ADP
cord-005350-19za0msu	409	34	the	the	DET
cord-005350-19za0msu	409	35	rapid	rapid	ADJ
cord-005350-19za0msu	409	36	rise	rise	NOUN
cord-005350-19za0msu	409	37	in	in	ADP
cord-005350-19za0msu	409	38	the	the	DET
cord-005350-19za0msu	409	39	indicators	indicator	NOUN
cord-005350-19za0msu	409	40	.	.	PUNCT
cord-005350-19za0msu	410	1	all	all	DET
cord-005350-19za0msu	410	2	calculations	calculation	NOUN
cord-005350-19za0msu	410	3	used	use	VERB
cord-005350-19za0msu	410	4	the	the	DET
cord-005350-19za0msu	410	5	parameter	parameter	NOUN
cord-005350-19za0msu	410	6	values	value	NOUN
cord-005350-19za0msu	410	7	in	in	ADP
cord-005350-19za0msu	410	8	table	table	NOUN
cord-005350-19za0msu	410	9	7	7	NUM
cord-005350-19za0msu	410	10	.	.	PUNCT
cord-005350-19za0msu	411	1	a	a	DET
cord-005350-19za0msu	411	2	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	411	3	of	of	ADP
cord-005350-19za0msu	411	4	20	20	NUM
cord-005350-19za0msu	411	5	years	year	NOUN
cord-005350-19za0msu	411	6	was	be	AUX
cord-005350-19za0msu	411	7	chosen	choose	VERB
cord-005350-19za0msu	411	8	for	for	ADP
cord-005350-19za0msu	411	9	the	the	DET
cord-005350-19za0msu	411	10	gaussian	gaussian	ADJ
cord-005350-19za0msu	411	11	filtering	filtering	NOUN
cord-005350-19za0msu	411	12	because	because	SCONJ
cord-005350-19za0msu	411	13	this	this	DET
cord-005350-19za0msu	411	14	theory	theory	NOUN
cord-005350-19za0msu	411	15	depends	depend	VERB
cord-005350-19za0msu	411	16	on	on	ADP
cord-005350-19za0msu	411	17	a	a	DET
cord-005350-19za0msu	411	18	sequence	sequence	NOUN
cord-005350-19za0msu	411	19	of	of	ADP
cord-005350-19za0msu	411	20	approximations	approximation	NOUN
cord-005350-19za0msu	411	21	,	,	PUNCT
cord-005350-19za0msu	411	22	we	we	PRON
cord-005350-19za0msu	411	23	investigated	investigate	VERB
cord-005350-19za0msu	411	24	the	the	DET
cord-005350-19za0msu	411	25	robustness	robustness	NOUN
cord-005350-19za0msu	411	26	of	of	ADP
cord-005350-19za0msu	411	27	our	our	PRON
cord-005350-19za0msu	411	28	results	result	NOUN
cord-005350-19za0msu	411	29	in	in	ADP
cord-005350-19za0msu	411	30	a	a	DET
cord-005350-19za0msu	411	31	sequence	sequence	NOUN
cord-005350-19za0msu	411	32	of	of	ADP
cord-005350-19za0msu	411	33	simulations	simulation	NOUN
cord-005350-19za0msu	411	34	.	.	PUNCT
cord-005350-19za0msu	412	1	for	for	ADP
cord-005350-19za0msu	412	2	the	the	DET
cord-005350-19za0msu	412	3	sis	sis	PROPN
cord-005350-19za0msu	412	4	model	model	NOUN
cord-005350-19za0msu	412	5	,	,	PUNCT
cord-005350-19za0msu	412	6	we	we	PRON
cord-005350-19za0msu	412	7	found	find	VERB
cord-005350-19za0msu	412	8	that	that	SCONJ
cord-005350-19za0msu	412	9	the	the	DET
cord-005350-19za0msu	412	10	approach	approach	NOUN
cord-005350-19za0msu	412	11	to	to	ADP
cord-005350-19za0msu	412	12	elimination	elimination	NOUN
cord-005350-19za0msu	412	13	(	(	PUNCT
cord-005350-19za0msu	412	14	fig	fig	NOUN
cord-005350-19za0msu	412	15	.	.	PROPN
cord-005350-19za0msu	412	16	10	10	NUM
cord-005350-19za0msu	412	17	)	)	PUNCT
cord-005350-19za0msu	412	18	was	be	AUX
cord-005350-19za0msu	412	19	indicated	indicate	VERB
cord-005350-19za0msu	412	20	by	by	ADP
cord-005350-19za0msu	412	21	an	an	DET
cord-005350-19za0msu	412	22	increase	increase	NOUN
cord-005350-19za0msu	412	23	in	in	ADP
cord-005350-19za0msu	412	24	the	the	DET
cord-005350-19za0msu	412	25	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	412	26	,	,	PUNCT
cord-005350-19za0msu	412	27	variance	variance	NOUN
cord-005350-19za0msu	412	28	,	,	PUNCT
cord-005350-19za0msu	412	29	and	and	CCONJ
cord-005350-19za0msu	412	30	the	the	DET
cord-005350-19za0msu	412	31	coefficient	coefficient	NOUN
cord-005350-19za0msu	412	32	of	of	ADP
cord-005350-19za0msu	412	33	variation	variation	NOUN
cord-005350-19za0msu	412	34	,	,	PUNCT
cord-005350-19za0msu	412	35	as	as	SCONJ
cord-005350-19za0msu	412	36	predicted	predict	VERB
cord-005350-19za0msu	412	37	by	by	ADP
cord-005350-19za0msu	412	38	the	the	DET
cord-005350-19za0msu	412	39	theory	theory	NOUN
cord-005350-19za0msu	412	40	.	.	PUNCT
cord-005350-19za0msu	413	1	for	for	ADP
cord-005350-19za0msu	413	2	the	the	DET
cord-005350-19za0msu	413	3	sir	sir	PROPN
cord-005350-19za0msu	413	4	model	model	NOUN
cord-005350-19za0msu	413	5	,	,	PUNCT
cord-005350-19za0msu	413	6	the	the	DET
cord-005350-19za0msu	413	7	approach	approach	NOUN
cord-005350-19za0msu	413	8	to	to	ADP
cord-005350-19za0msu	413	9	elimination	elimination	NOUN
cord-005350-19za0msu	413	10	(	(	PUNCT
cord-005350-19za0msu	413	11	figs	fig	NOUN
cord-005350-19za0msu	413	12	.	.	PUNCT
cord-005350-19za0msu	414	1	11	11	NUM
cord-005350-19za0msu	414	2	and	and	CCONJ
cord-005350-19za0msu	414	3	12	12	NUM
cord-005350-19za0msu	414	4	)	)	PUNCT
cord-005350-19za0msu	414	5	was	be	AUX
cord-005350-19za0msu	414	6	indicated	indicate	VERB
cord-005350-19za0msu	414	7	by	by	ADP
cord-005350-19za0msu	414	8	an	an	DET
cord-005350-19za0msu	414	9	increase	increase	NOUN
cord-005350-19za0msu	414	10	in	in	ADP
cord-005350-19za0msu	414	11	the	the	DET
cord-005350-19za0msu	414	12	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	414	13	,	,	PUNCT
cord-005350-19za0msu	414	14	a	a	DET
cord-005350-19za0msu	414	15	decrease	decrease	NOUN
cord-005350-19za0msu	414	16	in	in	ADP
cord-005350-19za0msu	414	17	the	the	DET
cord-005350-19za0msu	414	18	variance	variance	NOUN
cord-005350-19za0msu	414	19	,	,	PUNCT
cord-005350-19za0msu	414	20	and	and	CCONJ
cord-005350-19za0msu	414	21	an	an	DET
cord-005350-19za0msu	414	22	increase	increase	NOUN
cord-005350-19za0msu	414	23	in	in	ADP
cord-005350-19za0msu	414	24	the	the	DET
cord-005350-19za0msu	414	25	coefficient	coefficient	NOUN
cord-005350-19za0msu	414	26	of	of	ADP
cord-005350-19za0msu	414	27	variation	variation	NOUN
cord-005350-19za0msu	414	28	,	,	PUNCT
cord-005350-19za0msu	414	29	as	as	SCONJ
cord-005350-19za0msu	414	30	predicted	predict	VERB
cord-005350-19za0msu	414	31	by	by	ADP
cord-005350-19za0msu	414	32	the	the	DET
cord-005350-19za0msu	414	33	theory	theory	NOUN
cord-005350-19za0msu	414	34	.	.	PUNCT
cord-005350-19za0msu	415	1	for	for	ADP
cord-005350-19za0msu	415	2	the	the	DET
cord-005350-19za0msu	415	3	sis	sis	NOUN
cord-005350-19za0msu	415	4	and	and	CCONJ
cord-005350-19za0msu	415	5	sir	sir	NOUN
cord-005350-19za0msu	415	6	models	model	NOUN
cord-005350-19za0msu	415	7	,	,	PUNCT
cord-005350-19za0msu	415	8	the	the	DET
cord-005350-19za0msu	415	9	approach	approach	NOUN
cord-005350-19za0msu	415	10	to	to	ADP
cord-005350-19za0msu	415	11	emergence	emergence	NOUN
cord-005350-19za0msu	415	12	was	be	AUX
cord-005350-19za0msu	415	13	indicated	indicate	VERB
cord-005350-19za0msu	415	14	by	by	ADP
cord-005350-19za0msu	415	15	an	an	DET
cord-005350-19za0msu	415	16	increase	increase	NOUN
cord-005350-19za0msu	415	17	in	in	ADP
cord-005350-19za0msu	415	18	variance	variance	NOUN
cord-005350-19za0msu	415	19	,	,	PUNCT
cord-005350-19za0msu	415	20	but	but	CCONJ
cord-005350-19za0msu	415	21	the	the	DET
cord-005350-19za0msu	415	22	effects	effect	NOUN
cord-005350-19za0msu	415	23	on	on	ADP
cord-005350-19za0msu	415	24	the	the	DET
cord-005350-19za0msu	415	25	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	415	26	and	and	CCONJ
cord-005350-19za0msu	415	27	the	the	DET
cord-005350-19za0msu	415	28	coefficient	coefficient	NOUN
cord-005350-19za0msu	415	29	of	of	ADP
cord-005350-19za0msu	415	30	variation	variation	NOUN
cord-005350-19za0msu	415	31	were	be	AUX
cord-005350-19za0msu	415	32	imperceptible	imperceptible	ADJ
cord-005350-19za0msu	415	33	(	(	PUNCT
cord-005350-19za0msu	415	34	figs	fig	NOUN
cord-005350-19za0msu	415	35	.	.	PUNCT
cord-005350-19za0msu	416	1	13	13	NUM
cord-005350-19za0msu	416	2	and	and	CCONJ
cord-005350-19za0msu	416	3	14	14	NUM
cord-005350-19za0msu	416	4	)	)	PUNCT
cord-005350-19za0msu	417	1	.	.	PUNCT
cord-005350-19za0msu	418	1	further	far	ADV
cord-005350-19za0msu	418	2	,	,	PUNCT
cord-005350-19za0msu	418	3	since	since	SCONJ
cord-005350-19za0msu	418	4	the	the	DET
cord-005350-19za0msu	418	5	theoretical	theoretical	ADJ
cord-005350-19za0msu	418	6	patterns	pattern	NOUN
cord-005350-19za0msu	418	7	may	may	AUX
cord-005350-19za0msu	418	8	be	be	AUX
cord-005350-19za0msu	418	9	difficult	difficult	ADJ
cord-005350-19za0msu	418	10	to	to	PART
cord-005350-19za0msu	418	11	distinguish	distinguish	VERB
cord-005350-19za0msu	418	12	from	from	ADP
cord-005350-19za0msu	418	13	random	random	ADJ
cord-005350-19za0msu	418	14	noise	noise	NOUN
cord-005350-19za0msu	418	15	or	or	CCONJ
cord-005350-19za0msu	418	16	fail	fail	VERB
cord-005350-19za0msu	418	17	to	to	PART
cord-005350-19za0msu	418	18	provide	provide	VERB
cord-005350-19za0msu	418	19	a	a	DET
cord-005350-19za0msu	418	20	sufficiently	sufficiently	ADV
cord-005350-19za0msu	418	21	reliable	reliable	ADJ
cord-005350-19za0msu	418	22	signal	signal	NOUN
cord-005350-19za0msu	418	23	under	under	ADP
cord-005350-19za0msu	418	24	realistic	realistic	ADJ
cord-005350-19za0msu	418	25	conditions	condition	NOUN
cord-005350-19za0msu	418	26	for	for	ADP
cord-005350-19za0msu	418	27	data	datum	NOUN
cord-005350-19za0msu	418	28	collection	collection	NOUN
cord-005350-19za0msu	418	29	,	,	PUNCT
cord-005350-19za0msu	418	30	we	we	PRON
cord-005350-19za0msu	418	31	also	also	ADV
cord-005350-19za0msu	418	32	examined	examine	VERB
cord-005350-19za0msu	418	33	the	the	DET
cord-005350-19za0msu	418	34	suitability	suitability	NOUN
cord-005350-19za0msu	418	35	of	of	ADP
cord-005350-19za0msu	418	36	these	these	DET
cord-005350-19za0msu	418	37	statistics	statistic	NOUN
cord-005350-19za0msu	418	38	as	as	ADP
cord-005350-19za0msu	418	39	an	an	DET
cord-005350-19za0msu	418	40	online	online	ADJ
cord-005350-19za0msu	418	41	algorithm	algorithm	NOUN
cord-005350-19za0msu	418	42	for	for	ADP
cord-005350-19za0msu	418	43	early	early	ADJ
cord-005350-19za0msu	418	44	warning	warning	NOUN
cord-005350-19za0msu	418	45	.	.	PUNCT
cord-005350-19za0msu	419	1	following	follow	VERB
cord-005350-19za0msu	419	2	boettiger	boettiger	NOUN
cord-005350-19za0msu	419	3	and	and	CCONJ
cord-005350-19za0msu	419	4	hastings	hasting	NOUN
cord-005350-19za0msu	419	5	(	(	PUNCT
cord-005350-19za0msu	419	6	2012	2012	NUM
cord-005350-19za0msu	419	7	)	)	PUNCT
cord-005350-19za0msu	419	8	,	,	PUNCT
cord-005350-19za0msu	419	9	we	we	PRON
cord-005350-19za0msu	419	10	summarized	summarize	VERB
cord-005350-19za0msu	419	11	the	the	DET
cord-005350-19za0msu	419	12	results	result	NOUN
cord-005350-19za0msu	419	13	of	of	ADP
cord-005350-19za0msu	419	14	online	online	ADJ
cord-005350-19za0msu	419	15	analysis	analysis	NOUN
cord-005350-19za0msu	419	16	using	use	VERB
cord-005350-19za0msu	419	17	the	the	DET
cord-005350-19za0msu	419	18	receiver	receiver	NOUN
cord-005350-19za0msu	419	19	operator	operator	NOUN
cord-005350-19za0msu	419	20	characteristic	characteristic	ADJ
cord-005350-19za0msu	419	21	.	.	PUNCT
cord-005350-19za0msu	420	1	these	these	DET
cord-005350-19za0msu	420	2	results	result	NOUN
cord-005350-19za0msu	420	3	showed	show	VERB
cord-005350-19za0msu	420	4	that	that	SCONJ
cord-005350-19za0msu	420	5	the	the	DET
cord-005350-19za0msu	420	6	approach	approach	NOUN
cord-005350-19za0msu	420	7	to	to	PART
cord-005350-19za0msu	420	8	elimination	elimination	NOUN
cord-005350-19za0msu	420	9	in	in	ADP
cord-005350-19za0msu	420	10	both	both	CCONJ
cord-005350-19za0msu	420	11	the	the	DET
cord-005350-19za0msu	420	12	sis	sis	NOUN
cord-005350-19za0msu	420	13	model	model	NOUN
cord-005350-19za0msu	420	14	(	(	PUNCT
cord-005350-19za0msu	420	15	fig	fig	NOUN
cord-005350-19za0msu	420	16	.	.	PROPN
cord-005350-19za0msu	420	17	10	10	NUM
cord-005350-19za0msu	420	18	)	)	PUNCT
cord-005350-19za0msu	420	19	and	and	CCONJ
cord-005350-19za0msu	420	20	the	the	DET
cord-005350-19za0msu	420	21	sir	sir	PROPN
cord-005350-19za0msu	420	22	model	model	NOUN
cord-005350-19za0msu	420	23	(	(	PUNCT
cord-005350-19za0msu	420	24	figs	fig	NOUN
cord-005350-19za0msu	420	25	.	.	PUNCT
cord-005350-19za0msu	421	1	11	11	NUM
cord-005350-19za0msu	421	2	and	and	CCONJ
cord-005350-19za0msu	421	3	12	12	NUM
cord-005350-19za0msu	421	4	)	)	PUNCT
cord-005350-19za0msu	421	5	could	could	AUX
cord-005350-19za0msu	421	6	be	be	AUX
cord-005350-19za0msu	421	7	detected	detect	VERB
cord-005350-19za0msu	421	8	with	with	ADP
cord-005350-19za0msu	421	9	a	a	DET
cord-005350-19za0msu	421	10	high	high	ADJ
cord-005350-19za0msu	421	11	level	level	NOUN
cord-005350-19za0msu	421	12	of	of	ADP
cord-005350-19za0msu	421	13	reliability	reliability	NOUN
cord-005350-19za0msu	421	14	(	(	PUNCT
cord-005350-19za0msu	421	15	large	large	ADJ
cord-005350-19za0msu	421	16	auc	auc	X
cord-005350-19za0msu	421	17	)	)	PUNCT
cord-005350-19za0msu	421	18	,	,	PUNCT
cord-005350-19za0msu	421	19	although	although	SCONJ
cord-005350-19za0msu	421	20	variance	variance	NOUN
cord-005350-19za0msu	421	21	was	be	AUX
cord-005350-19za0msu	421	22	a	a	DET
cord-005350-19za0msu	421	23	much	much	ADV
cord-005350-19za0msu	421	24	poorer	poor	ADJ
cord-005350-19za0msu	421	25	indicator	indicator	NOUN
cord-005350-19za0msu	421	26	in	in	ADP
cord-005350-19za0msu	421	27	the	the	DET
cord-005350-19za0msu	421	28	sir	sir	PROPN
cord-005350-19za0msu	421	29	model	model	NOUN
cord-005350-19za0msu	421	30	than	than	ADP
cord-005350-19za0msu	421	31	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	421	32	and	and	CCONJ
cord-005350-19za0msu	421	33	the	the	DET
cord-005350-19za0msu	421	34	coefficient	coefficient	NOUN
cord-005350-19za0msu	421	35	of	of	ADP
cord-005350-19za0msu	421	36	variation	variation	NOUN
cord-005350-19za0msu	421	37	.	.	PUNCT
cord-005350-19za0msu	422	1	however	however	ADV
cord-005350-19za0msu	422	2	,	,	PUNCT
cord-005350-19za0msu	422	3	the	the	DET
cord-005350-19za0msu	422	4	approach	approach	NOUN
cord-005350-19za0msu	422	5	to	to	ADP
cord-005350-19za0msu	422	6	emergence	emergence	NOUN
cord-005350-19za0msu	422	7	was	be	AUX
cord-005350-19za0msu	422	8	very	very	ADV
cord-005350-19za0msu	422	9	difficult	difficult	ADJ
cord-005350-19za0msu	422	10	to	to	PART
cord-005350-19za0msu	422	11	detect	detect	VERB
cord-005350-19za0msu	422	12	in	in	ADP
cord-005350-19za0msu	422	13	both	both	CCONJ
cord-005350-19za0msu	422	14	the	the	DET
cord-005350-19za0msu	422	15	sis	sis	NOUN
cord-005350-19za0msu	422	16	model	model	NOUN
cord-005350-19za0msu	422	17	and	and	CCONJ
cord-005350-19za0msu	422	18	the	the	DET
cord-005350-19za0msu	422	19	sir	sir	PROPN
cord-005350-19za0msu	422	20	model	model	NOUN
cord-005350-19za0msu	422	21	,	,	PUNCT
cord-005350-19za0msu	422	22	with	with	ADP
cord-005350-19za0msu	422	23	estimated	estimate	VERB
cord-005350-19za0msu	422	24	auc	auc	ADJ
cord-005350-19za0msu	422	25	values	value	NOUN
cord-005350-19za0msu	422	26	hovering	hover	VERB
cord-005350-19za0msu	422	27	just	just	ADV
cord-005350-19za0msu	422	28	above	above	ADP
cord-005350-19za0msu	422	29	the	the	DET
cord-005350-19za0msu	422	30	null	null	ADJ
cord-005350-19za0msu	422	31	value	value	NOUN
cord-005350-19za0msu	422	32	of	of	ADP
cord-005350-19za0msu	422	33	0.5	0.5	NUM
cord-005350-19za0msu	422	34	(	(	PUNCT
cord-005350-19za0msu	422	35	figs	fig	NOUN
cord-005350-19za0msu	422	36	.	.	PUNCT
cord-005350-19za0msu	423	1	13	13	NUM
cord-005350-19za0msu	423	2	and	and	CCONJ
cord-005350-19za0msu	423	3	14	14	NUM
cord-005350-19za0msu	423	4	)	)	PUNCT
cord-005350-19za0msu	424	1	.	.	PUNCT
cord-005350-19za0msu	425	1	in	in	ADP
cord-005350-19za0msu	425	2	summary	summary	NOUN
cord-005350-19za0msu	425	3	,	,	PUNCT
cord-005350-19za0msu	425	4	our	our	PRON
cord-005350-19za0msu	425	5	simulation	simulation	NOUN
cord-005350-19za0msu	425	6	studies	study	NOUN
cord-005350-19za0msu	425	7	show	show	VERB
cord-005350-19za0msu	425	8	the	the	DET
cord-005350-19za0msu	425	9	approximations	approximation	NOUN
cord-005350-19za0msu	425	10	required	require	VERB
cord-005350-19za0msu	425	11	to	to	PART
cord-005350-19za0msu	425	12	obtain	obtain	VERB
cord-005350-19za0msu	425	13	the	the	DET
cord-005350-19za0msu	425	14	theoretical	theoretical	ADJ
cord-005350-19za0msu	425	15	predictions	prediction	NOUN
cord-005350-19za0msu	425	16	to	to	PART
cord-005350-19za0msu	425	17	be	be	AUX
cord-005350-19za0msu	425	18	acceptable	acceptable	ADJ
cord-005350-19za0msu	425	19	but	but	CCONJ
cord-005350-19za0msu	425	20	indicate	indicate	VERB
cord-005350-19za0msu	425	21	that	that	DET
cord-005350-19za0msu	425	22	reliable	reliable	ADJ
cord-005350-19za0msu	425	23	prediction	prediction	NOUN
cord-005350-19za0msu	425	24	is	be	AUX
cord-005350-19za0msu	425	25	likely	likely	ADJ
cord-005350-19za0msu	425	26	only	only	ADV
cord-005350-19za0msu	425	27	in	in	ADP
cord-005350-19za0msu	425	28	the	the	DET
cord-005350-19za0msu	425	29	case	case	NOUN
cord-005350-19za0msu	425	30	of	of	ADP
cord-005350-19za0msu	425	31	leading	lead	VERB
cord-005350-19za0msu	425	32	indicators	indicator	NOUN
cord-005350-19za0msu	425	33	for	for	ADP
cord-005350-19za0msu	425	34	elimination	elimination	NOUN
cord-005350-19za0msu	425	35	,	,	PUNCT
cord-005350-19za0msu	425	36	not	not	PART
cord-005350-19za0msu	425	37	early	early	ADJ
cord-005350-19za0msu	425	38	warning	warning	NOUN
cord-005350-19za0msu	425	39	signals	signal	NOUN
cord-005350-19za0msu	425	40	of	of	ADP
cord-005350-19za0msu	425	41	emergence	emergence	NOUN
cord-005350-19za0msu	425	42	.	.	PUNCT
cord-005350-19za0msu	426	1	besides	besides	SCONJ
cord-005350-19za0msu	426	2	the	the	DET
cord-005350-19za0msu	426	3	practical	practical	ADJ
cord-005350-19za0msu	426	4	goal	goal	NOUN
cord-005350-19za0msu	426	5	of	of	ADP
cord-005350-19za0msu	426	6	indicating	indicate	VERB
cord-005350-19za0msu	426	7	patterns	pattern	NOUN
cord-005350-19za0msu	426	8	that	that	PRON
cord-005350-19za0msu	426	9	function	function	VERB
cord-005350-19za0msu	426	10	as	as	ADP
cord-005350-19za0msu	426	11	early	early	ADJ
cord-005350-19za0msu	426	12	warning	warning	NOUN
cord-005350-19za0msu	426	13	signals	signal	NOUN
cord-005350-19za0msu	426	14	and	and	CCONJ
cord-005350-19za0msu	426	15	leading	leading	ADJ
cord-005350-19za0msu	426	16	indicators	indicator	NOUN
cord-005350-19za0msu	426	17	,	,	PUNCT
cord-005350-19za0msu	426	18	our	our	PRON
cord-005350-19za0msu	426	19	study	study	NOUN
cord-005350-19za0msu	426	20	also	also	ADV
cord-005350-19za0msu	426	21	provides	provide	VERB
cord-005350-19za0msu	426	22	some	some	DET
cord-005350-19za0msu	426	23	basic	basic	ADJ
cord-005350-19za0msu	426	24	insights	insight	NOUN
cord-005350-19za0msu	426	25	into	into	ADP
cord-005350-19za0msu	426	26	the	the	DET
cord-005350-19za0msu	426	27	dynamics	dynamic	NOUN
cord-005350-19za0msu	426	28	of	of	ADP
cord-005350-19za0msu	426	29	infectious	infectious	ADJ
cord-005350-19za0msu	426	30	diseases	disease	NOUN
cord-005350-19za0msu	426	31	.	.	PUNCT
cord-005350-19za0msu	427	1	particularly	particularly	ADV
cord-005350-19za0msu	427	2	,	,	PUNCT
cord-005350-19za0msu	427	3	our	our	PRON
cord-005350-19za0msu	427	4	simulations	simulation	NOUN
cord-005350-19za0msu	427	5	illustrated	illustrate	VERB
cord-005350-19za0msu	427	6	the	the	DET
cord-005350-19za0msu	427	7	ubiquity	ubiquity	NOUN
cord-005350-19za0msu	427	8	of	of	ADP
cord-005350-19za0msu	427	9	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	427	10	delays	delay	NOUN
cord-005350-19za0msu	427	11	-	-	PUNCT
cord-005350-19za0msu	427	12	changes	change	NOUN
cord-005350-19za0msu	427	13	in	in	ADP
cord-005350-19za0msu	427	14	system	system	NOUN
cord-005350-19za0msu	427	15	state	state	NOUN
cord-005350-19za0msu	427	16	that	that	PRON
cord-005350-19za0msu	427	17	lag	lag	VERB
cord-005350-19za0msu	427	18	behind	behind	ADP
cord-005350-19za0msu	427	19	the	the	DET
cord-005350-19za0msu	427	20	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	427	21	of	of	ADP
cord-005350-19za0msu	427	22	the	the	DET
cord-005350-19za0msu	427	23	limiting	limiting	ADJ
cord-005350-19za0msu	427	24	case	case	NOUN
cord-005350-19za0msu	427	25	-	-	PUNCT
cord-005350-19za0msu	427	26	during	during	ADP
cord-005350-19za0msu	427	27	disease	disease	NOUN
cord-005350-19za0msu	427	28	emergence	emergence	NOUN
cord-005350-19za0msu	427	29	and	and	CCONJ
cord-005350-19za0msu	427	30	elimination	elimination	NOUN
cord-005350-19za0msu	427	31	.	.	PUNCT
cord-005350-19za0msu	428	1	delays	delay	NOUN
cord-005350-19za0msu	428	2	are	be	AUX
cord-005350-19za0msu	428	3	of	of	ADP
cord-005350-19za0msu	428	4	fundamental	fundamental	ADJ
cord-005350-19za0msu	428	5	interest	interest	NOUN
cord-005350-19za0msu	428	6	because	because	SCONJ
cord-005350-19za0msu	428	7	they	they	PRON
cord-005350-19za0msu	428	8	provide	provide	VERB
cord-005350-19za0msu	428	9	a	a	DET
cord-005350-19za0msu	428	10	mechanism	mechanism	NOUN
cord-005350-19za0msu	428	11	for	for	ADP
cord-005350-19za0msu	428	12	the	the	DET
cord-005350-19za0msu	428	13	frequent	frequent	ADJ
cord-005350-19za0msu	428	14	realization	realization	NOUN
cord-005350-19za0msu	428	15	of	of	ADP
cord-005350-19za0msu	428	16	far	far	ADJ
cord-005350-19za0msu	428	17	-	-	PUNCT
cord-005350-19za0msu	428	18	from	from	ADP
cord-005350-19za0msu	428	19	-	-	PUNCT
cord-005350-19za0msu	428	20	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	428	21	situations	situation	NOUN
cord-005350-19za0msu	428	22	and	and	CCONJ
cord-005350-19za0msu	428	23	because	because	SCONJ
cord-005350-19za0msu	428	24	they	they	PRON
cord-005350-19za0msu	428	25	are	be	AUX
cord-005350-19za0msu	428	26	a	a	DET
cord-005350-19za0msu	428	27	dramatic	dramatic	ADJ
cord-005350-19za0msu	428	28	example	example	NOUN
cord-005350-19za0msu	428	29	of	of	ADP
cord-005350-19za0msu	428	30	tipping	tipping	NOUN
cord-005350-19za0msu	428	31	point	point	NOUN
cord-005350-19za0msu	428	32	phenomena	phenomenon	NOUN
cord-005350-19za0msu	428	33	in	in	ADP
cord-005350-19za0msu	428	34	infectious	infectious	ADJ
cord-005350-19za0msu	428	35	diseases	disease	NOUN
cord-005350-19za0msu	428	36	.	.	PUNCT
cord-005350-19za0msu	429	1	indeed	indeed	ADV
cord-005350-19za0msu	429	2	,	,	PUNCT
cord-005350-19za0msu	429	3	delays	delay	NOUN
cord-005350-19za0msu	429	4	can	can	AUX
cord-005350-19za0msu	429	5	cause	cause	VERB
cord-005350-19za0msu	429	6	a	a	DET
cord-005350-19za0msu	429	7	system	system	NOUN
cord-005350-19za0msu	429	8	to	to	PART
cord-005350-19za0msu	429	9	appear	appear	VERB
cord-005350-19za0msu	429	10	to	to	PART
cord-005350-19za0msu	429	11	undergo	undergo	VERB
cord-005350-19za0msu	429	12	a	a	DET
cord-005350-19za0msu	429	13	catastrophic	catastrophic	ADJ
cord-005350-19za0msu	429	14	shift	shift	NOUN
cord-005350-19za0msu	429	15	(	(	PUNCT
cord-005350-19za0msu	429	16	e.g.	e.g.	ADV
cord-005350-19za0msu	429	17	,	,	PUNCT
cord-005350-19za0msu	429	18	the	the	DET
cord-005350-19za0msu	429	19	b	b	PROPN
cord-005350-19za0msu	429	20	a	a	PRON
cord-005350-19za0msu	429	21	d	d	X
cord-005350-19za0msu	429	22	c	c	X
cord-005350-19za0msu	429	23	f	f	X
cord-005350-19za0msu	429	24	e	e	PROPN
cord-005350-19za0msu	429	25	fig	fig	PROPN
cord-005350-19za0msu	429	26	.	.	PUNCT
cord-005350-19za0msu	430	1	11	11	NUM
cord-005350-19za0msu	430	2	performance	performance	NOUN
cord-005350-19za0msu	430	3	of	of	ADP
cord-005350-19za0msu	430	4	the	the	DET
cord-005350-19za0msu	430	5	statistics	statistic	NOUN
cord-005350-19za0msu	430	6	over	over	ADP
cord-005350-19za0msu	430	7	a	a	DET
cord-005350-19za0msu	430	8	moving	move	VERB
cord-005350-19za0msu	430	9	window	window	NOUN
cord-005350-19za0msu	430	10	for	for	ADP
cord-005350-19za0msu	430	11	the	the	DET
cord-005350-19za0msu	430	12	sir	sir	PROPN
cord-005350-19za0msu	430	13	system	system	NOUN
cord-005350-19za0msu	430	14	approaching	approach	VERB
cord-005350-19za0msu	430	15	elimination	elimination	NOUN
cord-005350-19za0msu	430	16	,	,	PUNCT
cord-005350-19za0msu	430	17	assuming	assume	VERB
cord-005350-19za0msu	430	18	that	that	SCONJ
cord-005350-19za0msu	430	19	immigration	immigration	NOUN
cord-005350-19za0msu	430	20	occurs	occur	VERB
cord-005350-19za0msu	430	21	(	(	PUNCT
cord-005350-19za0msu	430	22	η	η	NOUN
cord-005350-19za0msu	430	23	>	>	PUNCT
cord-005350-19za0msu	430	24	0	0	NUM
cord-005350-19za0msu	430	25	)	)	PUNCT
cord-005350-19za0msu	430	26	.	.	PUNCT
cord-005350-19za0msu	431	1	panels	panel	NOUN
cord-005350-19za0msu	431	2	a	a	PRON
cord-005350-19za0msu	431	3	,	,	PUNCT
cord-005350-19za0msu	431	4	c	c	PROPN
cord-005350-19za0msu	431	5	,	,	PUNCT
cord-005350-19za0msu	431	6	and	and	CCONJ
cord-005350-19za0msu	431	7	e	e	X
cord-005350-19za0msu	431	8	show	show	VERB
cord-005350-19za0msu	431	9	the	the	DET
cord-005350-19za0msu	431	10	median	median	ADJ
cord-005350-19za0msu	431	11	statistics	statistic	NOUN
cord-005350-19za0msu	431	12	(	(	PUNCT
cord-005350-19za0msu	431	13	thick	thick	ADJ
cord-005350-19za0msu	431	14	lines	line	NOUN
cord-005350-19za0msu	431	15	)	)	PUNCT
cord-005350-19za0msu	431	16	and	and	CCONJ
cord-005350-19za0msu	431	17	95	95	NUM
cord-005350-19za0msu	431	18	%	%	NOUN
cord-005350-19za0msu	431	19	prediction	prediction	NOUN
cord-005350-19za0msu	431	20	intervals	interval	NOUN
cord-005350-19za0msu	431	21	(	(	PUNCT
cord-005350-19za0msu	431	22	shaded	shaded	ADJ
cord-005350-19za0msu	431	23	regions	region	NOUN
cord-005350-19za0msu	431	24	)	)	PUNCT
cord-005350-19za0msu	431	25	.	.	PUNCT
cord-005350-19za0msu	432	1	the	the	PRON
cord-005350-19za0msu	432	2	lag-1	lag-1	PUNCT
cord-005350-19za0msu	432	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	432	4	and	and	CCONJ
cord-005350-19za0msu	432	5	variance	variance	NOUN
cord-005350-19za0msu	432	6	have	have	AUX
cord-005350-19za0msu	432	7	been	be	AUX
cord-005350-19za0msu	432	8	calculated	calculate	VERB
cord-005350-19za0msu	432	9	from	from	ADP
cord-005350-19za0msu	432	10	the	the	DET
cord-005350-19za0msu	432	11	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	432	12	obtained	obtain	VERB
cord-005350-19za0msu	432	13	from	from	ADP
cord-005350-19za0msu	432	14	van	van	PROPN
cord-005350-19za0msu	432	15	kampen	kampen	PROPN
cord-005350-19za0msu	432	16	and	and	CCONJ
cord-005350-19za0msu	432	17	gaussian	gaussian	ADJ
cord-005350-19za0msu	432	18	detrending	detrending	NOUN
cord-005350-19za0msu	432	19	.	.	PUNCT
cord-005350-19za0msu	433	1	the	the	DET
cord-005350-19za0msu	433	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	433	3	of	of	ADP
cord-005350-19za0msu	433	4	variation	variation	NOUN
cord-005350-19za0msu	433	5	is	be	AUX
cord-005350-19za0msu	433	6	marked	mark	VERB
cord-005350-19za0msu	433	7	in	in	ADP
cord-005350-19za0msu	433	8	green	green	ADJ
cord-005350-19za0msu	433	9	line	line	NOUN
cord-005350-19za0msu	433	10	to	to	PART
cord-005350-19za0msu	433	11	indicate	indicate	VERB
cord-005350-19za0msu	433	12	that	that	SCONJ
cord-005350-19za0msu	433	13	it	it	PRON
cord-005350-19za0msu	433	14	was	be	AUX
cord-005350-19za0msu	433	15	calculated	calculate	VERB
cord-005350-19za0msu	433	16	from	from	ADP
cord-005350-19za0msu	433	17	the	the	DET
cord-005350-19za0msu	433	18	raw	raw	ADJ
cord-005350-19za0msu	433	19	time	time	NOUN
cord-005350-19za0msu	433	20	series	series	NOUN
cord-005350-19za0msu	433	21	,	,	PUNCT
cord-005350-19za0msu	433	22	not	not	PART
cord-005350-19za0msu	433	23	deviations	deviation	NOUN
cord-005350-19za0msu	433	24	from	from	ADP
cord-005350-19za0msu	433	25	the	the	DET
cord-005350-19za0msu	433	26	mean	mean	NOUN
cord-005350-19za0msu	433	27	.	.	PUNCT
cord-005350-19za0msu	434	1	the	the	DET
cord-005350-19za0msu	434	2	dashed	dash	VERB
cord-005350-19za0msu	434	3	vertical	vertical	ADJ
cord-005350-19za0msu	434	4	line	line	NOUN
cord-005350-19za0msu	434	5	marks	mark	NOUN
cord-005350-19za0msu	434	6	the	the	DET
cord-005350-19za0msu	434	7	time	time	NOUN
cord-005350-19za0msu	434	8	of	of	ADP
cord-005350-19za0msu	434	9	the	the	DET
cord-005350-19za0msu	434	10	transcritical	transcritical	ADJ
cord-005350-19za0msu	434	11	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	434	12	in	in	ADP
cord-005350-19za0msu	434	13	the	the	DET
cord-005350-19za0msu	434	14	→	→	SYM
cord-005350-19za0msu	434	15	0	0	NUM
cord-005350-19za0msu	434	16	limiting	limit	VERB
cord-005350-19za0msu	434	17	case	case	NOUN
cord-005350-19za0msu	434	18	with	with	ADP
cord-005350-19za0msu	434	19	η	η	NOUN
cord-005350-19za0msu	434	20	=	=	X
cord-005350-19za0msu	434	21	0	0	NUM
cord-005350-19za0msu	434	22	.	.	PUNCT
cord-005350-19za0msu	435	1	panels	panel	NOUN
cord-005350-19za0msu	435	2	b	b	PROPN
cord-005350-19za0msu	435	3	,	,	PUNCT
cord-005350-19za0msu	435	4	d	d	PROPN
cord-005350-19za0msu	435	5	,	,	PUNCT
cord-005350-19za0msu	435	6	and	and	CCONJ
cord-005350-19za0msu	435	7	f	f	PROPN
cord-005350-19za0msu	435	8	show	show	VERB
cord-005350-19za0msu	435	9	the	the	DET
cord-005350-19za0msu	435	10	roc	roc	PROPN
cord-005350-19za0msu	435	11	curves	curve	NOUN
cord-005350-19za0msu	435	12	.	.	PUNCT
cord-005350-19za0msu	436	1	the	the	DET
cord-005350-19za0msu	436	2	auc	auc	PROPN
cord-005350-19za0msu	436	3	value	value	NOUN
cord-005350-19za0msu	436	4	indicates	indicate	VERB
cord-005350-19za0msu	436	5	the	the	DET
cord-005350-19za0msu	436	6	area	area	NOUN
cord-005350-19za0msu	436	7	under	under	ADP
cord-005350-19za0msu	436	8	the	the	DET
cord-005350-19za0msu	436	9	corresponding	corresponding	ADJ
cord-005350-19za0msu	436	10	roc	roc	PROPN
cord-005350-19za0msu	436	11	curve	curve	NOUN
cord-005350-19za0msu	436	12	.	.	PUNCT
cord-005350-19za0msu	437	1	all	all	DET
cord-005350-19za0msu	437	2	curves	curve	NOUN
cord-005350-19za0msu	437	3	are	be	AUX
cord-005350-19za0msu	437	4	above	above	ADP
cord-005350-19za0msu	437	5	the	the	DET
cord-005350-19za0msu	437	6	black	black	ADJ
cord-005350-19za0msu	437	7	line	line	NOUN
cord-005350-19za0msu	437	8	,	,	PUNCT
cord-005350-19za0msu	437	9	showing	show	VERB
cord-005350-19za0msu	437	10	that	that	SCONJ
cord-005350-19za0msu	437	11	the	the	DET
cord-005350-19za0msu	437	12	indicators	indicator	NOUN
cord-005350-19za0msu	437	13	behave	behave	VERB
cord-005350-19za0msu	437	14	better	well	ADJ
cord-005350-19za0msu	437	15	than	than	ADP
cord-005350-19za0msu	437	16	chance	chance	NOUN
cord-005350-19za0msu	437	17	in	in	ADP
cord-005350-19za0msu	437	18	distinguishing	distinguish	VERB
cord-005350-19za0msu	437	19	between	between	ADP
cord-005350-19za0msu	437	20	realizations	realization	NOUN
cord-005350-19za0msu	437	21	that	that	PRON
cord-005350-19za0msu	437	22	have	have	AUX
cord-005350-19za0msu	437	23	been	be	AUX
cord-005350-19za0msu	437	24	generated	generate	VERB
cord-005350-19za0msu	437	25	by	by	ADP
cord-005350-19za0msu	437	26	the	the	DET
cord-005350-19za0msu	437	27	null	null	NOUN
cord-005350-19za0msu	437	28	and	and	CCONJ
cord-005350-19za0msu	437	29	test	test	NOUN
cord-005350-19za0msu	437	30	models	model	NOUN
cord-005350-19za0msu	437	31	.	.	PUNCT
cord-005350-19za0msu	438	1	a	a	DET
cord-005350-19za0msu	438	2	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	438	3	of	of	ADP
cord-005350-19za0msu	438	4	5	5	NUM
cord-005350-19za0msu	438	5	years	year	NOUN
cord-005350-19za0msu	438	6	was	be	AUX
cord-005350-19za0msu	438	7	chosen	choose	VERB
cord-005350-19za0msu	438	8	for	for	ADP
cord-005350-19za0msu	438	9	the	the	DET
cord-005350-19za0msu	438	10	gaussian	gaussian	ADJ
cord-005350-19za0msu	438	11	filtering	filtering	NOUN
cord-005350-19za0msu	438	12	.	.	PUNCT
cord-005350-19za0msu	439	1	all	all	DET
cord-005350-19za0msu	439	2	calculations	calculation	NOUN
cord-005350-19za0msu	439	3	used	use	VERB
cord-005350-19za0msu	439	4	the	the	DET
cord-005350-19za0msu	439	5	parameter	parameter	NOUN
cord-005350-19za0msu	439	6	values	value	NOUN
cord-005350-19za0msu	439	7	in	in	ADP
cord-005350-19za0msu	439	8	table	table	NOUN
cord-005350-19za0msu	439	9	7	7	NUM
cord-005350-19za0msu	439	10	b	b	PROPN
cord-005350-19za0msu	439	11	a	a	PRON
cord-005350-19za0msu	439	12	d	d	X
cord-005350-19za0msu	439	13	c	c	X
cord-005350-19za0msu	439	14	f	f	X
cord-005350-19za0msu	439	15	e	e	PROPN
cord-005350-19za0msu	439	16	fig	fig	PROPN
cord-005350-19za0msu	439	17	.	.	PUNCT
cord-005350-19za0msu	440	1	12	12	NUM
cord-005350-19za0msu	440	2	performance	performance	NOUN
cord-005350-19za0msu	440	3	of	of	ADP
cord-005350-19za0msu	440	4	the	the	DET
cord-005350-19za0msu	440	5	statistics	statistic	NOUN
cord-005350-19za0msu	440	6	over	over	ADP
cord-005350-19za0msu	440	7	a	a	DET
cord-005350-19za0msu	440	8	moving	move	VERB
cord-005350-19za0msu	440	9	window	window	NOUN
cord-005350-19za0msu	440	10	for	for	ADP
cord-005350-19za0msu	440	11	the	the	DET
cord-005350-19za0msu	440	12	sir	sir	PROPN
cord-005350-19za0msu	440	13	system	system	NOUN
cord-005350-19za0msu	440	14	rapidly	rapidly	ADV
cord-005350-19za0msu	440	15	approaching	approach	VERB
cord-005350-19za0msu	440	16	elimination	elimination	NOUN
cord-005350-19za0msu	440	17	,	,	PUNCT
cord-005350-19za0msu	440	18	assuming	assume	VERB
cord-005350-19za0msu	440	19	that	that	SCONJ
cord-005350-19za0msu	440	20	immigration	immigration	NOUN
cord-005350-19za0msu	440	21	occurs	occur	VERB
cord-005350-19za0msu	440	22	(	(	PUNCT
cord-005350-19za0msu	440	23	η	η	NOUN
cord-005350-19za0msu	440	24	>	>	PUNCT
cord-005350-19za0msu	440	25	0	0	NUM
cord-005350-19za0msu	440	26	)	)	PUNCT
cord-005350-19za0msu	440	27	.	.	PUNCT
cord-005350-19za0msu	441	1	panels	panel	NOUN
cord-005350-19za0msu	441	2	a	a	PRON
cord-005350-19za0msu	441	3	,	,	PUNCT
cord-005350-19za0msu	441	4	c	c	PROPN
cord-005350-19za0msu	441	5	,	,	PUNCT
cord-005350-19za0msu	441	6	and	and	CCONJ
cord-005350-19za0msu	441	7	e	e	X
cord-005350-19za0msu	441	8	show	show	VERB
cord-005350-19za0msu	441	9	the	the	DET
cord-005350-19za0msu	441	10	median	median	ADJ
cord-005350-19za0msu	441	11	statistics	statistic	NOUN
cord-005350-19za0msu	441	12	(	(	PUNCT
cord-005350-19za0msu	441	13	thick	thick	ADJ
cord-005350-19za0msu	441	14	lines	line	NOUN
cord-005350-19za0msu	441	15	)	)	PUNCT
cord-005350-19za0msu	441	16	and	and	CCONJ
cord-005350-19za0msu	441	17	95	95	NUM
cord-005350-19za0msu	441	18	%	%	NOUN
cord-005350-19za0msu	441	19	prediction	prediction	NOUN
cord-005350-19za0msu	441	20	intervals	interval	NOUN
cord-005350-19za0msu	441	21	(	(	PUNCT
cord-005350-19za0msu	441	22	shaded	shaded	ADJ
cord-005350-19za0msu	441	23	regions	region	NOUN
cord-005350-19za0msu	441	24	)	)	PUNCT
cord-005350-19za0msu	441	25	.	.	PUNCT
cord-005350-19za0msu	442	1	the	the	PRON
cord-005350-19za0msu	442	2	lag-1	lag-1	PUNCT
cord-005350-19za0msu	442	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	442	4	and	and	CCONJ
cord-005350-19za0msu	442	5	variance	variance	NOUN
cord-005350-19za0msu	442	6	have	have	AUX
cord-005350-19za0msu	442	7	been	be	AUX
cord-005350-19za0msu	442	8	calculated	calculate	VERB
cord-005350-19za0msu	442	9	from	from	ADP
cord-005350-19za0msu	442	10	the	the	DET
cord-005350-19za0msu	442	11	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	442	12	obtained	obtain	VERB
cord-005350-19za0msu	442	13	from	from	ADP
cord-005350-19za0msu	442	14	the	the	DET
cord-005350-19za0msu	442	15	van	van	PROPN
cord-005350-19za0msu	442	16	kampen	kampen	NOUN
cord-005350-19za0msu	442	17	and	and	CCONJ
cord-005350-19za0msu	442	18	gaussian	gaussian	ADJ
cord-005350-19za0msu	442	19	detrending	detrending	NOUN
cord-005350-19za0msu	442	20	.	.	PUNCT
cord-005350-19za0msu	443	1	the	the	DET
cord-005350-19za0msu	443	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	443	3	of	of	ADP
cord-005350-19za0msu	443	4	variation	variation	NOUN
cord-005350-19za0msu	443	5	(	(	PUNCT
cord-005350-19za0msu	443	6	cv	cv	NOUN
cord-005350-19za0msu	443	7	)	)	PUNCT
cord-005350-19za0msu	443	8	is	be	AUX
cord-005350-19za0msu	443	9	marked	mark	VERB
cord-005350-19za0msu	443	10	in	in	ADP
cord-005350-19za0msu	443	11	dashed	dash	VERB
cord-005350-19za0msu	443	12	green	green	ADJ
cord-005350-19za0msu	443	13	line	line	NOUN
cord-005350-19za0msu	443	14	to	to	PART
cord-005350-19za0msu	443	15	indicate	indicate	VERB
cord-005350-19za0msu	443	16	that	that	SCONJ
cord-005350-19za0msu	443	17	it	it	PRON
cord-005350-19za0msu	443	18	was	be	AUX
cord-005350-19za0msu	443	19	calculated	calculate	VERB
cord-005350-19za0msu	443	20	from	from	ADP
cord-005350-19za0msu	443	21	the	the	DET
cord-005350-19za0msu	443	22	raw	raw	ADJ
cord-005350-19za0msu	443	23	time	time	NOUN
cord-005350-19za0msu	443	24	series	series	NOUN
cord-005350-19za0msu	443	25	,	,	PUNCT
cord-005350-19za0msu	443	26	not	not	PART
cord-005350-19za0msu	443	27	deviations	deviation	NOUN
cord-005350-19za0msu	443	28	from	from	ADP
cord-005350-19za0msu	443	29	the	the	DET
cord-005350-19za0msu	443	30	mean	mean	NOUN
cord-005350-19za0msu	443	31	.	.	PUNCT
cord-005350-19za0msu	444	1	the	the	DET
cord-005350-19za0msu	444	2	dashed	dash	VERB
cord-005350-19za0msu	444	3	vertical	vertical	ADJ
cord-005350-19za0msu	444	4	line	line	NOUN
cord-005350-19za0msu	444	5	marks	mark	NOUN
cord-005350-19za0msu	444	6	the	the	DET
cord-005350-19za0msu	444	7	time	time	NOUN
cord-005350-19za0msu	444	8	of	of	ADP
cord-005350-19za0msu	444	9	the	the	DET
cord-005350-19za0msu	444	10	transcritical	transcritical	ADJ
cord-005350-19za0msu	444	11	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	444	12	in	in	ADP
cord-005350-19za0msu	444	13	the	the	DET
cord-005350-19za0msu	444	14	→	→	SYM
cord-005350-19za0msu	444	15	0	0	NUM
cord-005350-19za0msu	444	16	limiting	limit	VERB
cord-005350-19za0msu	444	17	case	case	NOUN
cord-005350-19za0msu	444	18	with	with	ADP
cord-005350-19za0msu	444	19	η	η	NOUN
cord-005350-19za0msu	444	20	=	=	X
cord-005350-19za0msu	444	21	0	0	NUM
cord-005350-19za0msu	444	22	.	.	PUNCT
cord-005350-19za0msu	445	1	panels	panel	NOUN
cord-005350-19za0msu	445	2	b	b	PROPN
cord-005350-19za0msu	445	3	,	,	PUNCT
cord-005350-19za0msu	445	4	d	d	PROPN
cord-005350-19za0msu	445	5	,	,	PUNCT
cord-005350-19za0msu	445	6	and	and	CCONJ
cord-005350-19za0msu	445	7	f	f	PROPN
cord-005350-19za0msu	445	8	show	show	VERB
cord-005350-19za0msu	445	9	the	the	DET
cord-005350-19za0msu	445	10	roc	roc	PROPN
cord-005350-19za0msu	445	11	curves	curve	NOUN
cord-005350-19za0msu	445	12	.	.	PUNCT
cord-005350-19za0msu	446	1	the	the	DET
cord-005350-19za0msu	446	2	auc	auc	PROPN
cord-005350-19za0msu	446	3	value	value	NOUN
cord-005350-19za0msu	446	4	indicates	indicate	VERB
cord-005350-19za0msu	446	5	the	the	DET
cord-005350-19za0msu	446	6	area	area	NOUN
cord-005350-19za0msu	446	7	under	under	ADP
cord-005350-19za0msu	446	8	the	the	DET
cord-005350-19za0msu	446	9	corresponding	corresponding	ADJ
cord-005350-19za0msu	446	10	roc	roc	PROPN
cord-005350-19za0msu	446	11	curve	curve	NOUN
cord-005350-19za0msu	446	12	.	.	PUNCT
cord-005350-19za0msu	447	1	all	all	DET
cord-005350-19za0msu	447	2	curves	curve	NOUN
cord-005350-19za0msu	447	3	are	be	AUX
cord-005350-19za0msu	447	4	above	above	ADP
cord-005350-19za0msu	447	5	the	the	DET
cord-005350-19za0msu	447	6	black	black	ADJ
cord-005350-19za0msu	447	7	line	line	NOUN
cord-005350-19za0msu	447	8	,	,	PUNCT
cord-005350-19za0msu	447	9	showing	show	VERB
cord-005350-19za0msu	447	10	that	that	SCONJ
cord-005350-19za0msu	447	11	the	the	DET
cord-005350-19za0msu	447	12	indicators	indicator	NOUN
cord-005350-19za0msu	447	13	behave	behave	VERB
cord-005350-19za0msu	447	14	better	well	ADJ
cord-005350-19za0msu	447	15	than	than	ADP
cord-005350-19za0msu	447	16	chance	chance	NOUN
cord-005350-19za0msu	447	17	in	in	ADP
cord-005350-19za0msu	447	18	distinguishing	distinguish	VERB
cord-005350-19za0msu	447	19	between	between	ADP
cord-005350-19za0msu	447	20	realizations	realization	NOUN
cord-005350-19za0msu	447	21	that	that	PRON
cord-005350-19za0msu	447	22	have	have	AUX
cord-005350-19za0msu	447	23	been	be	AUX
cord-005350-19za0msu	447	24	generated	generate	VERB
cord-005350-19za0msu	447	25	by	by	ADP
cord-005350-19za0msu	447	26	the	the	DET
cord-005350-19za0msu	447	27	null	null	NOUN
cord-005350-19za0msu	447	28	and	and	CCONJ
cord-005350-19za0msu	447	29	test	test	NOUN
cord-005350-19za0msu	447	30	models	model	NOUN
cord-005350-19za0msu	447	31	.	.	PUNCT
cord-005350-19za0msu	448	1	however	however	ADV
cord-005350-19za0msu	448	2	,	,	PUNCT
cord-005350-19za0msu	448	3	the	the	DET
cord-005350-19za0msu	448	4	variance	variance	NOUN
cord-005350-19za0msu	448	5	performs	perform	VERB
cord-005350-19za0msu	448	6	poorly	poorly	ADV
cord-005350-19za0msu	448	7	compared	compare	VERB
cord-005350-19za0msu	448	8	with	with	ADP
cord-005350-19za0msu	448	9	the	the	DET
cord-005350-19za0msu	448	10	lag-1	lag-1	PUNCT
cord-005350-19za0msu	448	11	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	448	12	and	and	CCONJ
cord-005350-19za0msu	448	13	cv	cv	NOUN
cord-005350-19za0msu	448	14	.	.	PUNCT
cord-005350-19za0msu	449	1	a	a	DET
cord-005350-19za0msu	449	2	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	449	3	of	of	ADP
cord-005350-19za0msu	449	4	5	5	NUM
cord-005350-19za0msu	449	5	years	year	NOUN
cord-005350-19za0msu	449	6	was	be	AUX
cord-005350-19za0msu	449	7	chosen	choose	VERB
cord-005350-19za0msu	449	8	for	for	ADP
cord-005350-19za0msu	449	9	the	the	DET
cord-005350-19za0msu	449	10	gaussian	gaussian	ADJ
cord-005350-19za0msu	449	11	filtering	filtering	NOUN
cord-005350-19za0msu	449	12	.	.	PUNCT
cord-005350-19za0msu	450	1	all	all	DET
cord-005350-19za0msu	450	2	calculations	calculation	NOUN
cord-005350-19za0msu	450	3	used	use	VERB
cord-005350-19za0msu	450	4	the	the	DET
cord-005350-19za0msu	450	5	parameter	parameter	NOUN
cord-005350-19za0msu	450	6	values	value	NOUN
cord-005350-19za0msu	450	7	in	in	ADP
cord-005350-19za0msu	450	8	table	table	NOUN
cord-005350-19za0msu	450	9	7	7	NUM
cord-005350-19za0msu	450	10	except	except	SCONJ
cord-005350-19za0msu	450	11	for	for	ADP
cord-005350-19za0msu	450	12	p	p	NOUN
cord-005350-19za0msu	450	13	0	0	NUM
cord-005350-19za0msu	450	14	=	=	SYM
cord-005350-19za0msu	450	15	1/30	1/30	NUM
cord-005350-19za0msu	450	16	year	year	NOUN
cord-005350-19za0msu	450	17	−1	−1	NOUN
cord-005350-19za0msu	450	18	dramatic	dramatic	ADJ
cord-005350-19za0msu	450	19	upturn	upturn	NOUN
cord-005350-19za0msu	450	20	of	of	ADP
cord-005350-19za0msu	450	21	infectious	infectious	ADJ
cord-005350-19za0msu	450	22	cases	case	NOUN
cord-005350-19za0msu	450	23	associated	associate	VERB
cord-005350-19za0msu	450	24	with	with	ADP
cord-005350-19za0msu	450	25	emergence	emergence	NOUN
cord-005350-19za0msu	450	26	)	)	PUNCT
cord-005350-19za0msu	450	27	when	when	SCONJ
cord-005350-19za0msu	450	28	,	,	PUNCT
cord-005350-19za0msu	450	29	in	in	ADP
cord-005350-19za0msu	450	30	fact	fact	NOUN
cord-005350-19za0msu	450	31	,	,	PUNCT
cord-005350-19za0msu	450	32	only	only	ADV
cord-005350-19za0msu	450	33	a	a	DET
cord-005350-19za0msu	450	34	noncatastrophic	noncatastrophic	ADJ
cord-005350-19za0msu	450	35	transcritical	transcritical	ADJ
cord-005350-19za0msu	450	36	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	450	37	has	have	AUX
cord-005350-19za0msu	450	38	occurred	occur	VERB
cord-005350-19za0msu	450	39	.	.	PUNCT
cord-005350-19za0msu	451	1	our	our	PRON
cord-005350-19za0msu	451	2	results	result	NOUN
cord-005350-19za0msu	451	3	show	show	VERB
cord-005350-19za0msu	451	4	that	that	SCONJ
cord-005350-19za0msu	451	5	two	two	NUM
cord-005350-19za0msu	451	6	kinds	kind	NOUN
cord-005350-19za0msu	451	7	of	of	ADP
cord-005350-19za0msu	451	8	delays	delay	NOUN
cord-005350-19za0msu	451	9	occur	occur	VERB
cord-005350-19za0msu	451	10	in	in	ADP
cord-005350-19za0msu	451	11	disease	disease	NOUN
cord-005350-19za0msu	451	12	emergence	emergence	NOUN
cord-005350-19za0msu	451	13	and	and	CCONJ
cord-005350-19za0msu	451	14	elimination	elimination	NOUN
cord-005350-19za0msu	451	15	.	.	PUNCT
cord-005350-19za0msu	452	1	the	the	DET
cord-005350-19za0msu	452	2	first	first	ADJ
cord-005350-19za0msu	452	3	delay	delay	NOUN
cord-005350-19za0msu	452	4	is	be	AUX
cord-005350-19za0msu	452	5	a	a	DET
cord-005350-19za0msu	452	6	deterministic	deterministic	ADJ
cord-005350-19za0msu	452	7	phenomenon	phenomenon	NOUN
cord-005350-19za0msu	452	8	referred	refer	VERB
cord-005350-19za0msu	452	9	to	to	ADP
cord-005350-19za0msu	452	10	as	as	ADP
cord-005350-19za0msu	452	11	a	a	DET
cord-005350-19za0msu	452	12	canard	canard	NOUN
cord-005350-19za0msu	452	13	(	(	PUNCT
cord-005350-19za0msu	452	14	diener	diener	NOUN
cord-005350-19za0msu	452	15	1984	1984	NUM
cord-005350-19za0msu	452	16	)	)	PUNCT
cord-005350-19za0msu	452	17	.	.	PUNCT
cord-005350-19za0msu	453	1	canards	canard	NOUN
cord-005350-19za0msu	453	2	occur	occur	VERB
cord-005350-19za0msu	453	3	in	in	ADP
cord-005350-19za0msu	453	4	fast	fast	ADV
cord-005350-19za0msu	453	5	-	-	PUNCT
cord-005350-19za0msu	453	6	slow	slow	ADJ
cord-005350-19za0msu	453	7	systems	system	NOUN
cord-005350-19za0msu	453	8	where	where	SCONJ
cord-005350-19za0msu	453	9	the	the	DET
cord-005350-19za0msu	453	10	solution	solution	NOUN
cord-005350-19za0msu	453	11	follows	follow	VERB
cord-005350-19za0msu	453	12	an	an	DET
cord-005350-19za0msu	453	13	attracting	attract	VERB
cord-005350-19za0msu	453	14	slow	slow	ADJ
cord-005350-19za0msu	453	15	manifold	manifold	NOUN
cord-005350-19za0msu	453	16	of	of	ADP
cord-005350-19za0msu	453	17	the	the	DET
cord-005350-19za0msu	453	18	fast	fast	ADV
cord-005350-19za0msu	453	19	-	-	PUNCT
cord-005350-19za0msu	453	20	slow	slow	ADJ
cord-005350-19za0msu	453	21	system	system	NOUN
cord-005350-19za0msu	453	22	,	,	PUNCT
cord-005350-19za0msu	453	23	passing	pass	VERB
cord-005350-19za0msu	453	24	close	close	ADV
cord-005350-19za0msu	453	25	to	to	ADP
cord-005350-19za0msu	453	26	a	a	DET
cord-005350-19za0msu	453	27	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	453	28	point	point	NOUN
cord-005350-19za0msu	453	29	,	,	PUNCT
cord-005350-19za0msu	453	30	and	and	CCONJ
cord-005350-19za0msu	453	31	then	then	ADV
cord-005350-19za0msu	453	32	follows	follow	VERB
cord-005350-19za0msu	453	33	a	a	DET
cord-005350-19za0msu	453	34	repelling	repelling	NOUN
cord-005350-19za0msu	453	35	slow	slow	ADJ
cord-005350-19za0msu	453	36	manifold	manifold	ADJ
cord-005350-19za0msu	453	37	for	for	ADP
cord-005350-19za0msu	453	38	a	a	DET
cord-005350-19za0msu	453	39	considerable	considerable	ADJ
cord-005350-19za0msu	453	40	period	period	NOUN
cord-005350-19za0msu	453	41	of	of	ADP
cord-005350-19za0msu	453	42	time	time	NOUN
cord-005350-19za0msu	453	43	.	.	PUNCT
cord-005350-19za0msu	454	1	thus	thus	ADV
cord-005350-19za0msu	454	2	,	,	PUNCT
cord-005350-19za0msu	454	3	for	for	ADP
cord-005350-19za0msu	454	4	instance	instance	NOUN
cord-005350-19za0msu	454	5	,	,	PUNCT
cord-005350-19za0msu	454	6	in	in	ADP
cord-005350-19za0msu	454	7	fig	fig	NOUN
cord-005350-19za0msu	454	8	.	.	PUNCT
cord-005350-19za0msu	455	1	3a	3a	PROPN
cord-005350-19za0msu	455	2	,	,	PUNCT
cord-005350-19za0msu	455	3	which	which	PRON
cord-005350-19za0msu	455	4	depicts	depict	VERB
cord-005350-19za0msu	455	5	the	the	DET
cord-005350-19za0msu	455	6	emergence	emergence	NOUN
cord-005350-19za0msu	455	7	of	of	ADP
cord-005350-19za0msu	455	8	an	an	DET
cord-005350-19za0msu	455	9	sis	sis	NOUN
cord-005350-19za0msu	455	10	infection	infection	NOUN
cord-005350-19za0msu	455	11	,	,	PUNCT
cord-005350-19za0msu	455	12	the	the	DET
cord-005350-19za0msu	455	13	→	→	SYM
cord-005350-19za0msu	455	14	0	0	NUM
cord-005350-19za0msu	455	15	limit	limit	NOUN
cord-005350-19za0msu	455	16	case	case	NOUN
cord-005350-19za0msu	455	17	branch	branch	NOUN
cord-005350-19za0msu	455	18	rapidly	rapidly	ADV
cord-005350-19za0msu	455	19	increases	increase	VERB
cord-005350-19za0msu	455	20	close	close	ADV
cord-005350-19za0msu	455	21	to	to	ADP
cord-005350-19za0msu	455	22	the	the	DET
cord-005350-19za0msu	455	23	η	η	NOUN
cord-005350-19za0msu	455	24	=	=	SYM
cord-005350-19za0msu	455	25	0	0	NUM
cord-005350-19za0msu	455	26	critical	critical	ADJ
cord-005350-19za0msu	455	27	point	point	NOUN
cord-005350-19za0msu	455	28	,	,	PUNCT
cord-005350-19za0msu	455	29	but	but	CCONJ
cord-005350-19za0msu	455	30	the	the	DET
cord-005350-19za0msu	455	31	solution	solution	NOUN
cord-005350-19za0msu	455	32	of	of	ADP
cord-005350-19za0msu	455	33	the	the	DET
cord-005350-19za0msu	455	34	fast	fast	ADV
cord-005350-19za0msu	455	35	-	-	PUNCT
cord-005350-19za0msu	455	36	slow	slow	ADJ
cord-005350-19za0msu	455	37	system	system	NOUN
cord-005350-19za0msu	455	38	(	(	PUNCT
cord-005350-19za0msu	455	39	>	>	X
cord-005350-19za0msu	455	40	0	0	NUM
cord-005350-19za0msu	455	41	)	)	PUNCT
cord-005350-19za0msu	455	42	tracks	track	VERB
cord-005350-19za0msu	455	43	the	the	DET
cord-005350-19za0msu	455	44	disease	disease	NOUN
cord-005350-19za0msu	455	45	-	-	PUNCT
cord-005350-19za0msu	455	46	free	free	ADJ
cord-005350-19za0msu	455	47	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	455	48	for	for	ADP
cord-005350-19za0msu	455	49	a	a	DET
cord-005350-19za0msu	455	50	noticeable	noticeable	ADJ
cord-005350-19za0msu	455	51	amount	amount	NOUN
cord-005350-19za0msu	455	52	of	of	ADP
cord-005350-19za0msu	455	53	time	time	NOUN
cord-005350-19za0msu	455	54	even	even	ADV
cord-005350-19za0msu	455	55	after	after	SCONJ
cord-005350-19za0msu	455	56	it	it	PRON
cord-005350-19za0msu	455	57	has	have	AUX
cord-005350-19za0msu	455	58	become	become	VERB
cord-005350-19za0msu	455	59	unstable	unstable	ADJ
cord-005350-19za0msu	455	60	.	.	PUNCT
cord-005350-19za0msu	456	1	the	the	DET
cord-005350-19za0msu	456	2	influence	influence	NOUN
cord-005350-19za0msu	456	3	that	that	PRON
cord-005350-19za0msu	456	4	the	the	DET
cord-005350-19za0msu	456	5	canard	canard	NOUN
cord-005350-19za0msu	456	6	has	have	VERB
cord-005350-19za0msu	456	7	on	on	ADP
cord-005350-19za0msu	456	8	the	the	DET
cord-005350-19za0msu	456	9	stochastic	stochastic	ADJ
cord-005350-19za0msu	456	10	dynamics	dynamic	NOUN
cord-005350-19za0msu	456	11	can	can	AUX
cord-005350-19za0msu	456	12	be	be	AUX
cord-005350-19za0msu	456	13	observed	observe	VERB
cord-005350-19za0msu	456	14	in	in	ADP
cord-005350-19za0msu	456	15	fig	fig	NOUN
cord-005350-19za0msu	456	16	.	.	PUNCT
cord-005350-19za0msu	457	1	3b	3b	NOUN
cord-005350-19za0msu	457	2	,	,	PUNCT
cord-005350-19za0msu	457	3	where	where	SCONJ
cord-005350-19za0msu	457	4	the	the	DET
cord-005350-19za0msu	457	5	number	number	NOUN
cord-005350-19za0msu	457	6	of	of	ADP
cord-005350-19za0msu	457	7	infectious	infectious	ADJ
cord-005350-19za0msu	457	8	individuals	individual	NOUN
cord-005350-19za0msu	457	9	remains	remain	VERB
cord-005350-19za0msu	457	10	in	in	ADP
cord-005350-19za0msu	457	11	the	the	DET
cord-005350-19za0msu	457	12	vicinity	vicinity	NOUN
cord-005350-19za0msu	457	13	of	of	ADP
cord-005350-19za0msu	457	14	the	the	DET
cord-005350-19za0msu	457	15	precritical	precritical	ADJ
cord-005350-19za0msu	457	16	level	level	NOUN
cord-005350-19za0msu	457	17	for	for	ADP
cord-005350-19za0msu	457	18	a	a	DET
cord-005350-19za0msu	457	19	noticeable	noticeable	ADJ
cord-005350-19za0msu	457	20	period	period	NOUN
cord-005350-19za0msu	457	21	of	of	ADP
cord-005350-19za0msu	457	22	time	time	NOUN
cord-005350-19za0msu	457	23	.	.	PUNCT
cord-005350-19za0msu	458	1	a	a	DET
cord-005350-19za0msu	458	2	related	related	ADJ
cord-005350-19za0msu	458	3	phenomenon	phenomenon	NOUN
cord-005350-19za0msu	458	4	,	,	PUNCT
cord-005350-19za0msu	458	5	but	but	CCONJ
cord-005350-19za0msu	458	6	not	not	PART
cord-005350-19za0msu	458	7	so	so	ADV
cord-005350-19za0msu	458	8	dramatic	dramatic	ADJ
cord-005350-19za0msu	458	9	,	,	PUNCT
cord-005350-19za0msu	458	10	is	be	AUX
cord-005350-19za0msu	458	11	observed	observe	VERB
cord-005350-19za0msu	458	12	in	in	ADP
cord-005350-19za0msu	458	13	the	the	DET
cord-005350-19za0msu	458	14	elimination	elimination	NOUN
cord-005350-19za0msu	458	15	case	case	NOUN
cord-005350-19za0msu	458	16	(	(	PUNCT
cord-005350-19za0msu	458	17	fig	fig	NOUN
cord-005350-19za0msu	458	18	.	.	PUNCT
cord-005350-19za0msu	459	1	2a	2a	NUM
cord-005350-19za0msu	459	2	)	)	PUNCT
cord-005350-19za0msu	459	3	.	.	PUNCT
cord-005350-19za0msu	460	1	following	follow	VERB
cord-005350-19za0msu	460	2	the	the	DET
cord-005350-19za0msu	460	3	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	460	4	,	,	PUNCT
cord-005350-19za0msu	460	5	the	the	DET
cord-005350-19za0msu	460	6	infectious	infectious	ADJ
cord-005350-19za0msu	460	7	population	population	NOUN
cord-005350-19za0msu	460	8	remains	remain	VERB
cord-005350-19za0msu	460	9	elevated	elevate	VERB
cord-005350-19za0msu	460	10	,	,	PUNCT
cord-005350-19za0msu	460	11	but	but	CCONJ
cord-005350-19za0msu	460	12	unlike	unlike	ADP
cord-005350-19za0msu	460	13	the	the	DET
cord-005350-19za0msu	460	14	emergence	emergence	NOUN
cord-005350-19za0msu	460	15	case	case	NOUN
cord-005350-19za0msu	460	16	,	,	PUNCT
cord-005350-19za0msu	460	17	no	no	DET
cord-005350-19za0msu	460	18	dramatic	dramatic	ADJ
cord-005350-19za0msu	460	19	shift	shift	NOUN
cord-005350-19za0msu	460	20	to	to	ADP
cord-005350-19za0msu	460	21	extinction	extinction	NOUN
cord-005350-19za0msu	460	22	occurs	occur	VERB
cord-005350-19za0msu	460	23	.	.	PUNCT
cord-005350-19za0msu	461	1	analogous	analogous	ADJ
cord-005350-19za0msu	461	2	phenomena	phenomenon	NOUN
cord-005350-19za0msu	461	3	are	be	AUX
cord-005350-19za0msu	461	4	observed	observe	VERB
cord-005350-19za0msu	461	5	in	in	ADP
cord-005350-19za0msu	461	6	the	the	DET
cord-005350-19za0msu	461	7	sir	sir	PROPN
cord-005350-19za0msu	461	8	model	model	NOUN
cord-005350-19za0msu	461	9	(	(	PUNCT
cord-005350-19za0msu	461	10	figs	fig	NOUN
cord-005350-19za0msu	461	11	.	.	PUNCT
cord-005350-19za0msu	462	1	5	5	NUM
cord-005350-19za0msu	462	2	and	and	CCONJ
cord-005350-19za0msu	462	3	6	6	NUM
cord-005350-19za0msu	462	4	)	)	PUNCT
cord-005350-19za0msu	462	5	.	.	PUNCT
cord-005350-19za0msu	463	1	the	the	DET
cord-005350-19za0msu	463	2	second	second	ADJ
cord-005350-19za0msu	463	3	class	class	NOUN
cord-005350-19za0msu	463	4	of	of	ADP
cord-005350-19za0msu	463	5	delays	delay	NOUN
cord-005350-19za0msu	463	6	is	be	AUX
cord-005350-19za0msu	463	7	a	a	DET
cord-005350-19za0msu	463	8	stochastic	stochastic	ADJ
cord-005350-19za0msu	463	9	phenomenon	phenomenon	NOUN
cord-005350-19za0msu	463	10	,	,	PUNCT
cord-005350-19za0msu	463	11	caused	cause	VERB
cord-005350-19za0msu	463	12	by	by	ADP
cord-005350-19za0msu	463	13	the	the	DET
cord-005350-19za0msu	463	14	nonzero	nonzero	NOUN
cord-005350-19za0msu	463	15	time	time	NOUN
cord-005350-19za0msu	463	16	interval	interval	NOUN
cord-005350-19za0msu	463	17	that	that	PRON
cord-005350-19za0msu	463	18	occurs	occur	VERB
cord-005350-19za0msu	463	19	between	between	ADP
cord-005350-19za0msu	463	20	the	the	DET
cord-005350-19za0msu	463	21	time	time	NOUN
cord-005350-19za0msu	463	22	at	at	ADP
cord-005350-19za0msu	463	23	which	which	PRON
cord-005350-19za0msu	463	24	the	the	DET
cord-005350-19za0msu	463	25	critical	critical	ADJ
cord-005350-19za0msu	463	26	point	point	NOUN
cord-005350-19za0msu	463	27	is	be	AUX
cord-005350-19za0msu	463	28	reached	reach	VERB
cord-005350-19za0msu	463	29	and	and	CCONJ
cord-005350-19za0msu	463	30	the	the	DET
cord-005350-19za0msu	463	31	time	time	NOUN
cord-005350-19za0msu	463	32	of	of	ADP
cord-005350-19za0msu	463	33	the	the	DET
cord-005350-19za0msu	463	34	event	event	NOUN
cord-005350-19za0msu	463	35	that	that	PRON
cord-005350-19za0msu	463	36	initiates	initiate	VERB
cord-005350-19za0msu	463	37	the	the	DET
cord-005350-19za0msu	463	38	transition	transition	NOUN
cord-005350-19za0msu	463	39	(	(	PUNCT
cord-005350-19za0msu	463	40	i.e.	i.e.	X
cord-005350-19za0msu	463	41	,	,	PUNCT
cord-005350-19za0msu	463	42	the	the	DET
cord-005350-19za0msu	463	43	index	index	NOUN
cord-005350-19za0msu	463	44	case	case	NOUN
cord-005350-19za0msu	463	45	of	of	ADP
cord-005350-19za0msu	463	46	a	a	DET
cord-005350-19za0msu	463	47	major	major	ADJ
cord-005350-19za0msu	463	48	outbreak	outbreak	NOUN
cord-005350-19za0msu	463	49	)	)	PUNCT
cord-005350-19za0msu	463	50	.	.	PUNCT
cord-005350-19za0msu	464	1	this	this	DET
cord-005350-19za0msu	464	2	phenomenon	phenomenon	NOUN
cord-005350-19za0msu	464	3	is	be	AUX
cord-005350-19za0msu	464	4	most	most	ADV
cord-005350-19za0msu	464	5	obvious	obvious	ADJ
cord-005350-19za0msu	464	6	in	in	ADP
cord-005350-19za0msu	464	7	the	the	DET
cord-005350-19za0msu	464	8	emergence	emergence	NOUN
cord-005350-19za0msu	464	9	of	of	ADP
cord-005350-19za0msu	464	10	an	an	DET
cord-005350-19za0msu	464	11	immunizing	immunizing	NOUN
cord-005350-19za0msu	464	12	pathogen	pathogen	NOUN
cord-005350-19za0msu	464	13	(	(	PUNCT
cord-005350-19za0msu	464	14	the	the	DET
cord-005350-19za0msu	464	15	emergence	emergence	NOUN
cord-005350-19za0msu	464	16	scenario	scenario	NOUN
cord-005350-19za0msu	464	17	for	for	ADP
cord-005350-19za0msu	464	18	the	the	DET
cord-005350-19za0msu	464	19	sir	sir	PROPN
cord-005350-19za0msu	464	20	model	model	NOUN
cord-005350-19za0msu	464	21	)	)	PUNCT
cord-005350-19za0msu	464	22	.	.	PUNCT
cord-005350-19za0msu	465	1	in	in	ADP
cord-005350-19za0msu	465	2	this	this	DET
cord-005350-19za0msu	465	3	case	case	NOUN
cord-005350-19za0msu	465	4	,	,	PUNCT
cord-005350-19za0msu	465	5	the	the	DET
cord-005350-19za0msu	465	6	number	number	NOUN
cord-005350-19za0msu	465	7	of	of	ADP
cord-005350-19za0msu	465	8	infectious	infectious	ADJ
cord-005350-19za0msu	465	9	individuals	individual	NOUN
cord-005350-19za0msu	465	10	in	in	ADP
cord-005350-19za0msu	465	11	the	the	DET
cord-005350-19za0msu	465	12	population	population	NOUN
cord-005350-19za0msu	465	13	prior	prior	ADV
cord-005350-19za0msu	465	14	to	to	ADP
cord-005350-19za0msu	465	15	the	the	DET
cord-005350-19za0msu	465	16	critical	critical	ADJ
cord-005350-19za0msu	465	17	transition	transition	NOUN
cord-005350-19za0msu	465	18	is	be	AUX
cord-005350-19za0msu	465	19	most	most	ADV
cord-005350-19za0msu	465	20	commonly	commonly	ADV
cord-005350-19za0msu	465	21	zero	zero	NUM
cord-005350-19za0msu	465	22	.	.	PUNCT
cord-005350-19za0msu	466	1	assuming	assume	VERB
cord-005350-19za0msu	466	2	that	that	SCONJ
cord-005350-19za0msu	466	3	there	there	PRON
cord-005350-19za0msu	466	4	are	be	VERB
cord-005350-19za0msu	466	5	no	no	DET
cord-005350-19za0msu	466	6	infectious	infectious	ADJ
cord-005350-19za0msu	466	7	individuals	individual	NOUN
cord-005350-19za0msu	466	8	in	in	ADP
cord-005350-19za0msu	466	9	the	the	DET
cord-005350-19za0msu	466	10	population	population	NOUN
cord-005350-19za0msu	466	11	at	at	ADP
cord-005350-19za0msu	466	12	the	the	DET
cord-005350-19za0msu	466	13	time	time	NOUN
cord-005350-19za0msu	466	14	of	of	ADP
cord-005350-19za0msu	466	15	the	the	DET
cord-005350-19za0msu	466	16	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	466	17	event	event	NOUN
cord-005350-19za0msu	466	18	,	,	PUNCT
cord-005350-19za0msu	466	19	then	then	ADV
cord-005350-19za0msu	466	20	the	the	DET
cord-005350-19za0msu	466	21	number	number	NOUN
cord-005350-19za0msu	466	22	of	of	ADP
cord-005350-19za0msu	466	23	infections	infection	NOUN
cord-005350-19za0msu	466	24	in	in	ADP
cord-005350-19za0msu	466	25	the	the	DET
cord-005350-19za0msu	466	26	population	population	NOUN
cord-005350-19za0msu	466	27	will	will	AUX
cord-005350-19za0msu	466	28	remain	remain	VERB
cord-005350-19za0msu	466	29	zero	zero	NUM
cord-005350-19za0msu	466	30	until	until	ADP
cord-005350-19za0msu	466	31	the	the	DET
cord-005350-19za0msu	466	32	time	time	NOUN
cord-005350-19za0msu	466	33	that	that	PRON
cord-005350-19za0msu	466	34	an	an	DET
cord-005350-19za0msu	466	35	imported	import	VERB
cord-005350-19za0msu	466	36	case	case	NOUN
cord-005350-19za0msu	466	37	arises	arise	VERB
cord-005350-19za0msu	466	38	.	.	PUNCT
cord-005350-19za0msu	467	1	in	in	ADP
cord-005350-19za0msu	467	2	view	view	NOUN
cord-005350-19za0msu	467	3	of	of	ADP
cord-005350-19za0msu	467	4	the	the	DET
cord-005350-19za0msu	467	5	assumption	assumption	NOUN
cord-005350-19za0msu	467	6	of	of	ADP
cord-005350-19za0msu	467	7	demographic	demographic	ADJ
cord-005350-19za0msu	467	8	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	467	9	,	,	PUNCT
cord-005350-19za0msu	467	10	importation	importation	NOUN
cord-005350-19za0msu	467	11	is	be	AUX
cord-005350-19za0msu	467	12	a	a	DET
cord-005350-19za0msu	467	13	poisson	poisson	NOUN
cord-005350-19za0msu	467	14	process	process	NOUN
cord-005350-19za0msu	467	15	with	with	ADP
cord-005350-19za0msu	467	16	nonzero	nonzero	NOUN
cord-005350-19za0msu	467	17	rate	rate	NOUN
cord-005350-19za0msu	467	18	parameter	parameter	NOUN
cord-005350-19za0msu	467	19	,	,	PUNCT
cord-005350-19za0msu	467	20	which	which	PRON
cord-005350-19za0msu	467	21	similarly	similarly	ADV
cord-005350-19za0msu	467	22	ensures	ensure	VERB
cord-005350-19za0msu	467	23	that	that	SCONJ
cord-005350-19za0msu	467	24	a	a	DET
cord-005350-19za0msu	467	25	nonzero	nonzero	NOUN
cord-005350-19za0msu	467	26	period	period	NOUN
cord-005350-19za0msu	467	27	of	of	ADP
cord-005350-19za0msu	467	28	time	time	NOUN
cord-005350-19za0msu	467	29	must	must	AUX
cord-005350-19za0msu	467	30	elapse	elapse	VERB
cord-005350-19za0msu	467	31	before	before	SCONJ
cord-005350-19za0msu	467	32	the	the	DET
cord-005350-19za0msu	467	33	first	first	ADJ
cord-005350-19za0msu	467	34	case	case	NOUN
cord-005350-19za0msu	467	35	appears	appear	VERB
cord-005350-19za0msu	467	36	.	.	PUNCT
cord-005350-19za0msu	468	1	indeed	indeed	ADV
cord-005350-19za0msu	468	2	,	,	PUNCT
cord-005350-19za0msu	468	3	even	even	ADV
cord-005350-19za0msu	468	4	after	after	SCONJ
cord-005350-19za0msu	468	5	the	the	DET
cord-005350-19za0msu	468	6	first	first	ADJ
cord-005350-19za0msu	468	7	case	case	NOUN
cord-005350-19za0msu	468	8	appears	appear	VERB
cord-005350-19za0msu	468	9	,	,	PUNCT
cord-005350-19za0msu	468	10	there	there	PRON
cord-005350-19za0msu	468	11	is	be	VERB
cord-005350-19za0msu	468	12	no	no	DET
cord-005350-19za0msu	468	13	guarantee	guarantee	NOUN
cord-005350-19za0msu	468	14	that	that	SCONJ
cord-005350-19za0msu	468	15	the	the	DET
cord-005350-19za0msu	468	16	system	system	NOUN
cord-005350-19za0msu	468	17	will	will	AUX
cord-005350-19za0msu	468	18	undergo	undergo	VERB
cord-005350-19za0msu	468	19	transition	transition	NOUN
cord-005350-19za0msu	468	20	,	,	PUNCT
cord-005350-19za0msu	468	21	since	since	SCONJ
cord-005350-19za0msu	468	22	even	even	ADV
cord-005350-19za0msu	468	23	b	b	PROPN
cord-005350-19za0msu	468	24	a	a	PRON
cord-005350-19za0msu	468	25	d	d	X
cord-005350-19za0msu	468	26	c	c	X
cord-005350-19za0msu	468	27	f	f	X
cord-005350-19za0msu	468	28	e	e	PROPN
cord-005350-19za0msu	468	29	fig	fig	PROPN
cord-005350-19za0msu	468	30	.	.	PUNCT
cord-005350-19za0msu	469	1	13	13	NUM
cord-005350-19za0msu	469	2	performance	performance	NOUN
cord-005350-19za0msu	469	3	of	of	ADP
cord-005350-19za0msu	469	4	the	the	DET
cord-005350-19za0msu	469	5	statistics	statistic	NOUN
cord-005350-19za0msu	469	6	over	over	ADP
cord-005350-19za0msu	469	7	a	a	DET
cord-005350-19za0msu	469	8	moving	move	VERB
cord-005350-19za0msu	469	9	window	window	NOUN
cord-005350-19za0msu	469	10	for	for	ADP
cord-005350-19za0msu	469	11	the	the	DET
cord-005350-19za0msu	469	12	sis	sis	NOUN
cord-005350-19za0msu	469	13	system	system	NOUN
cord-005350-19za0msu	469	14	approaching	approach	VERB
cord-005350-19za0msu	469	15	endemicity	endemicity	NOUN
cord-005350-19za0msu	469	16	,	,	PUNCT
cord-005350-19za0msu	469	17	assuming	assume	VERB
cord-005350-19za0msu	469	18	that	that	SCONJ
cord-005350-19za0msu	469	19	immigration	immigration	NOUN
cord-005350-19za0msu	469	20	occurs	occur	VERB
cord-005350-19za0msu	469	21	(	(	PUNCT
cord-005350-19za0msu	469	22	η	η	NOUN
cord-005350-19za0msu	469	23	>	>	PUNCT
cord-005350-19za0msu	469	24	0	0	NUM
cord-005350-19za0msu	469	25	)	)	PUNCT
cord-005350-19za0msu	469	26	.	.	PUNCT
cord-005350-19za0msu	470	1	panels	panel	NOUN
cord-005350-19za0msu	470	2	a	a	PRON
cord-005350-19za0msu	470	3	,	,	PUNCT
cord-005350-19za0msu	470	4	c	c	PROPN
cord-005350-19za0msu	470	5	,	,	PUNCT
cord-005350-19za0msu	470	6	and	and	CCONJ
cord-005350-19za0msu	470	7	e	e	X
cord-005350-19za0msu	470	8	show	show	VERB
cord-005350-19za0msu	470	9	the	the	DET
cord-005350-19za0msu	470	10	median	median	ADJ
cord-005350-19za0msu	470	11	statistics	statistic	NOUN
cord-005350-19za0msu	470	12	(	(	PUNCT
cord-005350-19za0msu	470	13	thick	thick	ADJ
cord-005350-19za0msu	470	14	lines	line	NOUN
cord-005350-19za0msu	470	15	)	)	PUNCT
cord-005350-19za0msu	470	16	and	and	CCONJ
cord-005350-19za0msu	470	17	95	95	NUM
cord-005350-19za0msu	470	18	%	%	NOUN
cord-005350-19za0msu	470	19	prediction	prediction	NOUN
cord-005350-19za0msu	470	20	intervals	interval	NOUN
cord-005350-19za0msu	470	21	(	(	PUNCT
cord-005350-19za0msu	470	22	shaded	shaded	ADJ
cord-005350-19za0msu	470	23	regions	region	NOUN
cord-005350-19za0msu	470	24	)	)	PUNCT
cord-005350-19za0msu	470	25	.	.	PUNCT
cord-005350-19za0msu	471	1	the	the	PRON
cord-005350-19za0msu	471	2	lag-1	lag-1	PUNCT
cord-005350-19za0msu	471	3	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	471	4	and	and	CCONJ
cord-005350-19za0msu	471	5	variance	variance	NOUN
cord-005350-19za0msu	471	6	have	have	AUX
cord-005350-19za0msu	471	7	been	be	AUX
cord-005350-19za0msu	471	8	calculated	calculate	VERB
cord-005350-19za0msu	471	9	from	from	ADP
cord-005350-19za0msu	471	10	the	the	DET
cord-005350-19za0msu	471	11	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	471	12	obtained	obtain	VERB
cord-005350-19za0msu	471	13	from	from	ADP
cord-005350-19za0msu	471	14	the	the	DET
cord-005350-19za0msu	471	15	van	van	PROPN
cord-005350-19za0msu	471	16	kampen	kampen	PROPN
cord-005350-19za0msu	471	17	detrending	detrending	NOUN
cord-005350-19za0msu	471	18	and	and	CCONJ
cord-005350-19za0msu	471	19	gaussian	gaussian	ADJ
cord-005350-19za0msu	471	20	filtering	filtering	NOUN
cord-005350-19za0msu	471	21	.	.	PUNCT
cord-005350-19za0msu	472	1	the	the	DET
cord-005350-19za0msu	472	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	472	3	of	of	ADP
cord-005350-19za0msu	472	4	variation	variation	NOUN
cord-005350-19za0msu	472	5	is	be	AUX
cord-005350-19za0msu	472	6	marked	mark	VERB
cord-005350-19za0msu	472	7	in	in	ADP
cord-005350-19za0msu	472	8	green	green	ADJ
cord-005350-19za0msu	472	9	(	(	PUNCT
cord-005350-19za0msu	472	10	dashed	dash	VERB
cord-005350-19za0msu	472	11	)	)	PUNCT
cord-005350-19za0msu	472	12	line	line	NOUN
cord-005350-19za0msu	472	13	to	to	PART
cord-005350-19za0msu	472	14	indicate	indicate	VERB
cord-005350-19za0msu	472	15	that	that	SCONJ
cord-005350-19za0msu	472	16	it	it	PRON
cord-005350-19za0msu	472	17	was	be	AUX
cord-005350-19za0msu	472	18	calculated	calculate	VERB
cord-005350-19za0msu	472	19	from	from	ADP
cord-005350-19za0msu	472	20	the	the	DET
cord-005350-19za0msu	472	21	raw	raw	ADJ
cord-005350-19za0msu	472	22	time	time	NOUN
cord-005350-19za0msu	472	23	series	series	NOUN
cord-005350-19za0msu	472	24	,	,	PUNCT
cord-005350-19za0msu	472	25	not	not	PART
cord-005350-19za0msu	472	26	deviations	deviation	NOUN
cord-005350-19za0msu	472	27	from	from	ADP
cord-005350-19za0msu	472	28	the	the	DET
cord-005350-19za0msu	472	29	mean	mean	NOUN
cord-005350-19za0msu	472	30	.	.	PUNCT
cord-005350-19za0msu	473	1	the	the	DET
cord-005350-19za0msu	473	2	dashed	dash	VERB
cord-005350-19za0msu	473	3	vertical	vertical	ADJ
cord-005350-19za0msu	473	4	line	line	NOUN
cord-005350-19za0msu	473	5	marks	mark	NOUN
cord-005350-19za0msu	473	6	the	the	DET
cord-005350-19za0msu	473	7	time	time	NOUN
cord-005350-19za0msu	473	8	of	of	ADP
cord-005350-19za0msu	473	9	the	the	DET
cord-005350-19za0msu	473	10	transcritical	transcritical	ADJ
cord-005350-19za0msu	473	11	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	473	12	.	.	PUNCT
cord-005350-19za0msu	474	1	panels	panel	NOUN
cord-005350-19za0msu	474	2	b	b	PROPN
cord-005350-19za0msu	474	3	,	,	PUNCT
cord-005350-19za0msu	474	4	d	d	PROPN
cord-005350-19za0msu	474	5	,	,	PUNCT
cord-005350-19za0msu	474	6	and	and	CCONJ
cord-005350-19za0msu	474	7	f	f	PROPN
cord-005350-19za0msu	474	8	shows	show	VERB
cord-005350-19za0msu	474	9	the	the	DET
cord-005350-19za0msu	474	10	roc	roc	PROPN
cord-005350-19za0msu	474	11	curves	curve	NOUN
cord-005350-19za0msu	474	12	.	.	PUNCT
cord-005350-19za0msu	475	1	the	the	DET
cord-005350-19za0msu	475	2	auc	auc	PROPN
cord-005350-19za0msu	475	3	value	value	NOUN
cord-005350-19za0msu	475	4	indicates	indicate	VERB
cord-005350-19za0msu	475	5	the	the	DET
cord-005350-19za0msu	475	6	area	area	NOUN
cord-005350-19za0msu	475	7	under	under	ADP
cord-005350-19za0msu	475	8	the	the	DET
cord-005350-19za0msu	475	9	corresponding	corresponding	ADJ
cord-005350-19za0msu	475	10	roc	roc	PROPN
cord-005350-19za0msu	475	11	curve	curve	NOUN
cord-005350-19za0msu	475	12	.	.	PUNCT
cord-005350-19za0msu	476	1	there	there	PRON
cord-005350-19za0msu	476	2	are	be	VERB
cord-005350-19za0msu	476	3	no	no	DET
cord-005350-19za0msu	476	4	marked	marked	ADJ
cord-005350-19za0msu	476	5	trends	trend	NOUN
cord-005350-19za0msu	476	6	in	in	ADP
cord-005350-19za0msu	476	7	the	the	DET
cord-005350-19za0msu	476	8	median	median	ADJ
cord-005350-19za0msu	476	9	statistics	statistic	NOUN
cord-005350-19za0msu	476	10	,	,	PUNCT
cord-005350-19za0msu	476	11	although	although	SCONJ
cord-005350-19za0msu	476	12	the	the	DET
cord-005350-19za0msu	476	13	variance	variance	NOUN
cord-005350-19za0msu	476	14	exhibits	exhibit	VERB
cord-005350-19za0msu	476	15	a	a	DET
cord-005350-19za0msu	476	16	slight	slight	ADJ
cord-005350-19za0msu	476	17	increasing	increase	VERB
cord-005350-19za0msu	476	18	trend	trend	NOUN
cord-005350-19za0msu	476	19	.	.	PUNCT
cord-005350-19za0msu	477	1	the	the	DET
cord-005350-19za0msu	477	2	roc	roc	PROPN
cord-005350-19za0msu	477	3	curves	curves	PROPN
cord-005350-19za0msu	477	4	show	show	VERB
cord-005350-19za0msu	477	5	that	that	SCONJ
cord-005350-19za0msu	477	6	the	the	DET
cord-005350-19za0msu	477	7	distributions	distribution	NOUN
cord-005350-19za0msu	477	8	of	of	ADP
cord-005350-19za0msu	477	9	kendall	kendall	PROPN
cord-005350-19za0msu	477	10	's	's	PART
cord-005350-19za0msu	477	11	τ	τ	NOUN
cord-005350-19za0msu	477	12	overlap	overlap	VERB
cord-005350-19za0msu	477	13	greatly	greatly	ADV
cord-005350-19za0msu	477	14	,	,	PUNCT
cord-005350-19za0msu	477	15	suggesting	suggest	VERB
cord-005350-19za0msu	477	16	that	that	SCONJ
cord-005350-19za0msu	477	17	it	it	PRON
cord-005350-19za0msu	477	18	is	be	AUX
cord-005350-19za0msu	477	19	difficult	difficult	ADJ
cord-005350-19za0msu	477	20	to	to	PART
cord-005350-19za0msu	477	21	distinguish	distinguish	VERB
cord-005350-19za0msu	477	22	between	between	ADP
cord-005350-19za0msu	477	23	a	a	DET
cord-005350-19za0msu	477	24	quasi	quasi	ADJ
cord-005350-19za0msu	477	25	-	-	ADJ
cord-005350-19za0msu	477	26	stationary	stationary	ADJ
cord-005350-19za0msu	477	27	system	system	NOUN
cord-005350-19za0msu	477	28	and	and	CCONJ
cord-005350-19za0msu	477	29	one	one	NUM
cord-005350-19za0msu	477	30	approaching	approach	VERB
cord-005350-19za0msu	477	31	an	an	DET
cord-005350-19za0msu	477	32	emergence	emergence	NOUN
cord-005350-19za0msu	477	33	threshold	threshold	NOUN
cord-005350-19za0msu	477	34	.	.	PUNCT
cord-005350-19za0msu	478	1	due	due	ADP
cord-005350-19za0msu	478	2	to	to	ADP
cord-005350-19za0msu	478	3	the	the	DET
cord-005350-19za0msu	478	4	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	478	5	delay	delay	NOUN
cord-005350-19za0msu	478	6	,	,	PUNCT
cord-005350-19za0msu	478	7	it	it	PRON
cord-005350-19za0msu	478	8	is	be	AUX
cord-005350-19za0msu	478	9	not	not	PART
cord-005350-19za0msu	478	10	surprising	surprising	ADJ
cord-005350-19za0msu	478	11	that	that	SCONJ
cord-005350-19za0msu	478	12	it	it	PRON
cord-005350-19za0msu	478	13	is	be	AUX
cord-005350-19za0msu	478	14	difficult	difficult	ADJ
cord-005350-19za0msu	478	15	to	to	PART
cord-005350-19za0msu	478	16	distinguish	distinguish	VERB
cord-005350-19za0msu	478	17	between	between	ADP
cord-005350-19za0msu	478	18	null	null	NOUN
cord-005350-19za0msu	478	19	and	and	CCONJ
cord-005350-19za0msu	478	20	test	test	NOUN
cord-005350-19za0msu	478	21	replicates	replicate	NOUN
cord-005350-19za0msu	478	22	.	.	PUNCT
cord-005350-19za0msu	479	1	a	a	DET
cord-005350-19za0msu	479	2	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	479	3	of	of	ADP
cord-005350-19za0msu	479	4	10	10	NUM
cord-005350-19za0msu	479	5	years	year	NOUN
cord-005350-19za0msu	479	6	was	be	AUX
cord-005350-19za0msu	479	7	selected	select	VERB
cord-005350-19za0msu	479	8	for	for	ADP
cord-005350-19za0msu	479	9	the	the	DET
cord-005350-19za0msu	479	10	gaussian	gaussian	ADJ
cord-005350-19za0msu	479	11	filtering	filtering	NOUN
cord-005350-19za0msu	479	12	.	.	PUNCT
cord-005350-19za0msu	480	1	all	all	DET
cord-005350-19za0msu	480	2	calculations	calculation	NOUN
cord-005350-19za0msu	480	3	used	use	VERB
cord-005350-19za0msu	480	4	the	the	DET
cord-005350-19za0msu	480	5	parameter	parameter	NOUN
cord-005350-19za0msu	480	6	values	value	NOUN
cord-005350-19za0msu	480	7	in	in	ADP
cord-005350-19za0msu	480	8	table	table	NOUN
cord-005350-19za0msu	480	9	7	7	NUM
cord-005350-19za0msu	480	10	in	in	ADP
cord-005350-19za0msu	480	11	a	a	DET
cord-005350-19za0msu	480	12	supercritical	supercritical	ADJ
cord-005350-19za0msu	480	13	population	population	NOUN
cord-005350-19za0msu	480	14	,	,	PUNCT
cord-005350-19za0msu	480	15	there	there	PRON
cord-005350-19za0msu	480	16	is	be	VERB
cord-005350-19za0msu	480	17	some	some	DET
cord-005350-19za0msu	480	18	chance	chance	NOUN
cord-005350-19za0msu	480	19	of	of	ADP
cord-005350-19za0msu	480	20	rapid	rapid	ADJ
cord-005350-19za0msu	480	21	extinction	extinction	NOUN
cord-005350-19za0msu	480	22	(	(	PUNCT
cord-005350-19za0msu	480	23	allen	allen	PROPN
cord-005350-19za0msu	480	24	2003	2003	NUM
cord-005350-19za0msu	480	25	)	)	PUNCT
cord-005350-19za0msu	480	26	.	.	PUNCT
cord-005350-19za0msu	481	1	when	when	SCONJ
cord-005350-19za0msu	481	2	the	the	DET
cord-005350-19za0msu	481	3	system	system	NOUN
cord-005350-19za0msu	481	4	is	be	AUX
cord-005350-19za0msu	481	5	only	only	ADV
cord-005350-19za0msu	481	6	slightly	slightly	ADV
cord-005350-19za0msu	481	7	supercritical	supercritical	ADJ
cord-005350-19za0msu	481	8	,	,	PUNCT
cord-005350-19za0msu	481	9	this	this	DET
cord-005350-19za0msu	481	10	chance	chance	NOUN
cord-005350-19za0msu	481	11	may	may	AUX
cord-005350-19za0msu	481	12	not	not	PART
cord-005350-19za0msu	481	13	be	be	AUX
cord-005350-19za0msu	481	14	small	small	ADJ
cord-005350-19za0msu	481	15	.	.	PUNCT
cord-005350-19za0msu	482	1	for	for	ADP
cord-005350-19za0msu	482	2	measurement	measurement	NOUN
cord-005350-19za0msu	482	3	purposes	purpose	NOUN
cord-005350-19za0msu	482	4	,	,	PUNCT
cord-005350-19za0msu	482	5	we	we	PRON
cord-005350-19za0msu	482	6	might	might	AUX
cord-005350-19za0msu	482	7	define	define	VERB
cord-005350-19za0msu	482	8	this	this	DET
cord-005350-19za0msu	482	9	stochastic	stochastic	ADJ
cord-005350-19za0msu	482	10	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	482	11	delay	delay	NOUN
cord-005350-19za0msu	482	12	as	as	SCONJ
cord-005350-19za0msu	482	13	the	the	DET
cord-005350-19za0msu	482	14	time	time	NOUN
cord-005350-19za0msu	482	15	elapsed	elapse	VERB
cord-005350-19za0msu	482	16	between	between	ADP
cord-005350-19za0msu	482	17	the	the	DET
cord-005350-19za0msu	482	18	occurrence	occurrence	NOUN
cord-005350-19za0msu	482	19	of	of	ADP
cord-005350-19za0msu	482	20	the	the	DET
cord-005350-19za0msu	482	21	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	482	22	and	and	CCONJ
cord-005350-19za0msu	482	23	the	the	DET
cord-005350-19za0msu	482	24	final	final	ADJ
cord-005350-19za0msu	482	25	occurrence	occurrence	NOUN
cord-005350-19za0msu	482	26	of	of	ADP
cord-005350-19za0msu	482	27	zero	zero	NUM
cord-005350-19za0msu	482	28	infectious	infectious	ADJ
cord-005350-19za0msu	482	29	individuals	individual	NOUN
cord-005350-19za0msu	482	30	in	in	ADP
cord-005350-19za0msu	482	31	the	the	DET
cord-005350-19za0msu	482	32	population	population	NOUN
cord-005350-19za0msu	482	33	.	.	PUNCT
cord-005350-19za0msu	483	1	clearly	clearly	ADV
cord-005350-19za0msu	483	2	,	,	PUNCT
cord-005350-19za0msu	483	3	this	this	DET
cord-005350-19za0msu	483	4	quantity	quantity	NOUN
cord-005350-19za0msu	483	5	is	be	AUX
cord-005350-19za0msu	483	6	a	a	DET
cord-005350-19za0msu	483	7	random	random	ADJ
cord-005350-19za0msu	483	8	variable	variable	NOUN
cord-005350-19za0msu	483	9	.	.	PUNCT
cord-005350-19za0msu	484	1	the	the	DET
cord-005350-19za0msu	484	2	distributional	distributional	ADJ
cord-005350-19za0msu	484	3	properties	property	NOUN
cord-005350-19za0msu	484	4	of	of	ADP
cord-005350-19za0msu	484	5	this	this	DET
cord-005350-19za0msu	484	6	stochastic	stochastic	ADJ
cord-005350-19za0msu	484	7	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	484	8	delay	delay	NOUN
cord-005350-19za0msu	484	9	are	be	AUX
cord-005350-19za0msu	484	10	an	an	DET
cord-005350-19za0msu	484	11	important	important	ADJ
cord-005350-19za0msu	484	12	problem	problem	NOUN
cord-005350-19za0msu	484	13	for	for	ADP
cord-005350-19za0msu	484	14	further	further	ADJ
cord-005350-19za0msu	484	15	research	research	NOUN
cord-005350-19za0msu	484	16	.	.	PUNCT
cord-005350-19za0msu	485	1	delays	delay	NOUN
cord-005350-19za0msu	485	2	are	be	AUX
cord-005350-19za0msu	485	3	also	also	ADV
cord-005350-19za0msu	485	4	important	important	ADJ
cord-005350-19za0msu	485	5	for	for	ADP
cord-005350-19za0msu	485	6	the	the	DET
cord-005350-19za0msu	485	7	immediate	immediate	ADJ
cord-005350-19za0msu	485	8	practical	practical	ADJ
cord-005350-19za0msu	485	9	reason	reason	NOUN
cord-005350-19za0msu	485	10	that	that	SCONJ
cord-005350-19za0msu	485	11	their	their	PRON
cord-005350-19za0msu	485	12	existence	existence	NOUN
cord-005350-19za0msu	485	13	implies	imply	VERB
cord-005350-19za0msu	485	14	that	that	SCONJ
cord-005350-19za0msu	485	15	the	the	DET
cord-005350-19za0msu	485	16	state	state	NOUN
cord-005350-19za0msu	485	17	of	of	ADP
cord-005350-19za0msu	485	18	the	the	DET
cord-005350-19za0msu	485	19	system	system	NOUN
cord-005350-19za0msu	485	20	,	,	PUNCT
cord-005350-19za0msu	485	21	i.e.	i.e.	X
cord-005350-19za0msu	485	22	,	,	PUNCT
cord-005350-19za0msu	485	23	the	the	DET
cord-005350-19za0msu	485	24	presence	presence	NOUN
cord-005350-19za0msu	485	25	or	or	CCONJ
cord-005350-19za0msu	485	26	absence	absence	NOUN
cord-005350-19za0msu	485	27	of	of	ADP
cord-005350-19za0msu	485	28	disease	disease	NOUN
cord-005350-19za0msu	485	29	,	,	PUNCT
cord-005350-19za0msu	485	30	can	can	AUX
cord-005350-19za0msu	485	31	not	not	PART
cord-005350-19za0msu	485	32	be	be	AUX
cord-005350-19za0msu	485	33	taken	take	VERB
cord-005350-19za0msu	485	34	as	as	ADP
cord-005350-19za0msu	485	35	reliable	reliable	ADJ
cord-005350-19za0msu	485	36	evidence	evidence	NOUN
cord-005350-19za0msu	485	37	concerning	concern	VERB
cord-005350-19za0msu	485	38	whether	whether	SCONJ
cord-005350-19za0msu	485	39	the	the	DET
cord-005350-19za0msu	485	40	system	system	NOUN
cord-005350-19za0msu	485	41	is	be	AUX
cord-005350-19za0msu	485	42	subcritical	subcritical	ADJ
cord-005350-19za0msu	485	43	or	or	CCONJ
cord-005350-19za0msu	485	44	supercritical	supercritical	ADJ
cord-005350-19za0msu	485	45	.	.	PUNCT
cord-005350-19za0msu	486	1	in	in	ADP
cord-005350-19za0msu	486	2	the	the	DET
cord-005350-19za0msu	486	3	case	case	NOUN
cord-005350-19za0msu	486	4	of	of	ADP
cord-005350-19za0msu	486	5	disease	disease	NOUN
cord-005350-19za0msu	486	6	emergence	emergence	NOUN
cord-005350-19za0msu	486	7	,	,	PUNCT
cord-005350-19za0msu	486	8	a	a	DET
cord-005350-19za0msu	486	9	system	system	NOUN
cord-005350-19za0msu	486	10	may	may	AUX
cord-005350-19za0msu	486	11	have	have	AUX
cord-005350-19za0msu	486	12	developed	develop	VERB
cord-005350-19za0msu	486	13	to	to	ADP
cord-005350-19za0msu	486	14	the	the	DET
cord-005350-19za0msu	486	15	supercritical	supercritical	ADJ
cord-005350-19za0msu	486	16	state	state	NOUN
cord-005350-19za0msu	486	17	-	-	PUNCT
cord-005350-19za0msu	486	18	a	a	DET
cord-005350-19za0msu	486	19	significant	significant	ADJ
cord-005350-19za0msu	486	20	concern	concern	NOUN
cord-005350-19za0msu	486	21	for	for	ADP
cord-005350-19za0msu	486	22	public	public	ADJ
cord-005350-19za0msu	486	23	health	health	NOUN
cord-005350-19za0msu	486	24	-	-	PUNCT
cord-005350-19za0msu	486	25	although	although	SCONJ
cord-005350-19za0msu	486	26	no	no	DET
cord-005350-19za0msu	486	27	cases	case	NOUN
cord-005350-19za0msu	486	28	have	have	AUX
cord-005350-19za0msu	486	29	occurred	occur	VERB
cord-005350-19za0msu	486	30	.	.	PUNCT
cord-005350-19za0msu	487	1	in	in	ADP
cord-005350-19za0msu	487	2	such	such	DET
cord-005350-19za0msu	487	3	a	a	DET
cord-005350-19za0msu	487	4	scenario	scenario	NOUN
cord-005350-19za0msu	487	5	,	,	PUNCT
cord-005350-19za0msu	487	6	any	any	DET
cord-005350-19za0msu	487	7	introduction	introduction	NOUN
cord-005350-19za0msu	487	8	of	of	ADP
cord-005350-19za0msu	487	9	infectious	infectious	ADJ
cord-005350-19za0msu	487	10	individuals	individual	NOUN
cord-005350-19za0msu	487	11	may	may	AUX
cord-005350-19za0msu	487	12	spark	spark	VERB
cord-005350-19za0msu	487	13	a	a	DET
cord-005350-19za0msu	487	14	major	major	ADJ
cord-005350-19za0msu	487	15	outbreak	outbreak	NOUN
cord-005350-19za0msu	487	16	.	.	PUNCT
cord-005350-19za0msu	488	1	in	in	ADP
cord-005350-19za0msu	488	2	the	the	DET
cord-005350-19za0msu	488	3	case	case	NOUN
cord-005350-19za0msu	488	4	of	of	ADP
cord-005350-19za0msu	488	5	disease	disease	NOUN
cord-005350-19za0msu	488	6	elimination	elimination	NOUN
cord-005350-19za0msu	488	7	,	,	PUNCT
cord-005350-19za0msu	488	8	a	a	DET
cord-005350-19za0msu	488	9	system	system	NOUN
cord-005350-19za0msu	488	10	may	may	AUX
cord-005350-19za0msu	488	11	already	already	ADV
cord-005350-19za0msu	488	12	exist	exist	VERB
cord-005350-19za0msu	488	13	in	in	ADP
cord-005350-19za0msu	488	14	the	the	DET
cord-005350-19za0msu	488	15	subcritical	subcritical	ADJ
cord-005350-19za0msu	488	16	state	state	NOUN
cord-005350-19za0msu	488	17	,	,	PUNCT
cord-005350-19za0msu	488	18	with	with	ADP
cord-005350-19za0msu	488	19	only	only	ADV
cord-005350-19za0msu	488	20	lingering	linger	VERB
cord-005350-19za0msu	488	21	infections	infection	NOUN
cord-005350-19za0msu	488	22	and	and	CCONJ
cord-005350-19za0msu	488	23	short	short	ADJ
cord-005350-19za0msu	488	24	transmission	transmission	NOUN
cord-005350-19za0msu	488	25	chains	chain	NOUN
cord-005350-19za0msu	488	26	enabling	enable	VERB
cord-005350-19za0msu	488	27	the	the	DET
cord-005350-19za0msu	488	28	pathogen	pathogen	NOUN
cord-005350-19za0msu	488	29	to	to	PART
cord-005350-19za0msu	488	30	transiently	transiently	ADV
cord-005350-19za0msu	488	31	persist	persist	VERB
cord-005350-19za0msu	488	32	.	.	PUNCT
cord-005350-19za0msu	489	1	in	in	ADP
cord-005350-19za0msu	489	2	such	such	ADJ
cord-005350-19za0msu	489	3	cases	case	NOUN
cord-005350-19za0msu	489	4	,	,	PUNCT
cord-005350-19za0msu	489	5	the	the	DET
cord-005350-19za0msu	489	6	battle	battle	NOUN
cord-005350-19za0msu	489	7	has	have	AUX
cord-005350-19za0msu	489	8	already	already	ADV
cord-005350-19za0msu	489	9	been	be	AUX
cord-005350-19za0msu	489	10	won	win	VERB
cord-005350-19za0msu	489	11	,	,	PUNCT
cord-005350-19za0msu	489	12	but	but	CCONJ
cord-005350-19za0msu	489	13	it	it	PRON
cord-005350-19za0msu	489	14	is	be	AUX
cord-005350-19za0msu	489	15	crucial	crucial	ADJ
cord-005350-19za0msu	489	16	that	that	SCONJ
cord-005350-19za0msu	489	17	vaccination	vaccination	NOUN
cord-005350-19za0msu	489	18	campaigns	campaign	NOUN
cord-005350-19za0msu	489	19	and	and	CCONJ
cord-005350-19za0msu	489	20	other	other	ADJ
cord-005350-19za0msu	489	21	elimination	elimination	NOUN
cord-005350-19za0msu	489	22	activities	activity	NOUN
cord-005350-19za0msu	489	23	be	be	AUX
cord-005350-19za0msu	489	24	continued	continue	VERB
cord-005350-19za0msu	489	25	until	until	SCONJ
cord-005350-19za0msu	489	26	the	the	DET
cord-005350-19za0msu	489	27	remaining	remain	VERB
cord-005350-19za0msu	489	28	lines	line	NOUN
cord-005350-19za0msu	489	29	of	of	ADP
cord-005350-19za0msu	489	30	transmission	transmission	NOUN
cord-005350-19za0msu	489	31	are	be	AUX
cord-005350-19za0msu	489	32	snuffed	snuff	VERB
cord-005350-19za0msu	489	33	out	out	ADP
cord-005350-19za0msu	489	34	.	.	PUNCT
cord-005350-19za0msu	490	1	otherwise	otherwise	ADV
cord-005350-19za0msu	490	2	,	,	PUNCT
cord-005350-19za0msu	490	3	gains	gain	NOUN
cord-005350-19za0msu	490	4	that	that	PRON
cord-005350-19za0msu	490	5	may	may	AUX
cord-005350-19za0msu	490	6	have	have	AUX
cord-005350-19za0msu	490	7	come	come	VERB
cord-005350-19za0msu	490	8	at	at	ADP
cord-005350-19za0msu	490	9	great	great	ADJ
cord-005350-19za0msu	490	10	cost	cost	NOUN
cord-005350-19za0msu	490	11	will	will	AUX
cord-005350-19za0msu	490	12	fail	fail	VERB
cord-005350-19za0msu	490	13	to	to	PART
cord-005350-19za0msu	490	14	be	be	AUX
cord-005350-19za0msu	490	15	maintained	maintain	VERB
cord-005350-19za0msu	490	16	,	,	PUNCT
cord-005350-19za0msu	490	17	and	and	CCONJ
cord-005350-19za0msu	490	18	the	the	DET
cord-005350-19za0msu	490	19	pathogen	pathogen	PROPN
cord-005350-19za0msu	490	20	may	may	AUX
cord-005350-19za0msu	490	21	resurge	resurge	VERB
cord-005350-19za0msu	490	22	in	in	ADP
cord-005350-19za0msu	490	23	the	the	DET
cord-005350-19za0msu	490	24	population	population	NOUN
cord-005350-19za0msu	490	25	,	,	PUNCT
cord-005350-19za0msu	490	26	sparked	spark	VERB
cord-005350-19za0msu	490	27	by	by	ADP
cord-005350-19za0msu	490	28	its	its	PRON
cord-005350-19za0msu	490	29	own	own	ADJ
cord-005350-19za0msu	490	30	embers	ember	NOUN
cord-005350-19za0msu	490	31	still	still	ADV
cord-005350-19za0msu	490	32	smoldering	smolder	VERB
cord-005350-19za0msu	490	33	in	in	ADP
cord-005350-19za0msu	490	34	the	the	DET
cord-005350-19za0msu	490	35	face	face	NOUN
cord-005350-19za0msu	490	36	of	of	ADP
cord-005350-19za0msu	490	37	relaxed	relaxed	ADJ
cord-005350-19za0msu	490	38	intervention	intervention	NOUN
cord-005350-19za0msu	490	39	.	.	PUNCT
cord-005350-19za0msu	491	1	the	the	DET
cord-005350-19za0msu	491	2	development	development	NOUN
cord-005350-19za0msu	491	3	of	of	ADP
cord-005350-19za0msu	491	4	statistical	statistical	ADJ
cord-005350-19za0msu	491	5	methods	method	NOUN
cord-005350-19za0msu	491	6	to	to	PART
cord-005350-19za0msu	491	7	identify	identify	VERB
cord-005350-19za0msu	491	8	such	such	ADJ
cord-005350-19za0msu	491	9	situations	situation	NOUN
cord-005350-19za0msu	491	10	is	be	AUX
cord-005350-19za0msu	491	11	an	an	DET
cord-005350-19za0msu	491	12	urgent	urgent	ADJ
cord-005350-19za0msu	491	13	problem	problem	NOUN
cord-005350-19za0msu	491	14	for	for	ADP
cord-005350-19za0msu	491	15	further	further	ADJ
cord-005350-19za0msu	491	16	research	research	NOUN
cord-005350-19za0msu	491	17	.	.	PUNCT
cord-005350-19za0msu	492	1	limiting	limit	VERB
cord-005350-19za0msu	492	2	case	case	NOUN
cord-005350-19za0msu	492	3	predictions	prediction	NOUN
cord-005350-19za0msu	492	4	can	can	AUX
cord-005350-19za0msu	492	5	sometimes	sometimes	ADV
cord-005350-19za0msu	492	6	be	be	AUX
cord-005350-19za0msu	492	7	misleading	misleading	ADJ
cord-005350-19za0msu	492	8	predictions	prediction	NOUN
cord-005350-19za0msu	492	9	for	for	ADP
cord-005350-19za0msu	492	10	the	the	DET
cord-005350-19za0msu	492	11	statistics	statistic	NOUN
cord-005350-19za0msu	492	12	derived	derive	VERB
cord-005350-19za0msu	492	13	from	from	ADP
cord-005350-19za0msu	492	14	the	the	DET
cord-005350-19za0msu	492	15	limiting	limiting	NOUN
cord-005350-19za0msu	492	16	case	case	NOUN
cord-005350-19za0msu	492	17	(	(	PUNCT
cord-005350-19za0msu	492	18	η	η	NOUN
cord-005350-19za0msu	492	19	=	=	SYM
cord-005350-19za0msu	492	20	0	0	NUM
cord-005350-19za0msu	492	21	)	)	PUNCT
cord-005350-19za0msu	492	22	version	version	NOUN
cord-005350-19za0msu	492	23	of	of	ADP
cord-005350-19za0msu	492	24	the	the	DET
cord-005350-19za0msu	492	25	sir	sir	PROPN
cord-005350-19za0msu	492	26	model	model	NOUN
cord-005350-19za0msu	492	27	can	can	AUX
cord-005350-19za0msu	492	28	sometimes	sometimes	ADV
cord-005350-19za0msu	492	29	be	be	AUX
cord-005350-19za0msu	492	30	misleading	misleading	ADJ
cord-005350-19za0msu	492	31	.	.	PUNCT
cord-005350-19za0msu	493	1	as	as	SCONJ
cord-005350-19za0msu	493	2	the	the	DET
cord-005350-19za0msu	493	3	extinction	extinction	NOUN
cord-005350-19za0msu	493	4	threshold	threshold	NOUN
cord-005350-19za0msu	493	5	is	be	AUX
cord-005350-19za0msu	493	6	approached	approach	VERB
cord-005350-19za0msu	493	7	,	,	PUNCT
cord-005350-19za0msu	493	8	the	the	DET
cord-005350-19za0msu	493	9	predicted	predict	VERB
cord-005350-19za0msu	493	10	sir	sir	NOUN
cord-005350-19za0msu	493	11	(	(	PUNCT
cord-005350-19za0msu	493	12	η	η	NOUN
cord-005350-19za0msu	493	13	>	>	PUNCT
cord-005350-19za0msu	493	14	0	0	NUM
cord-005350-19za0msu	493	15	)	)	PUNCT
cord-005350-19za0msu	493	16	lag-1	lag-1	PUNCT
cord-005350-19za0msu	493	17	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	493	18	increases	increase	NOUN
cord-005350-19za0msu	493	19	as	as	SCONJ
cord-005350-19za0msu	493	20	expected	expect	VERB
cord-005350-19za0msu	493	21	,	,	PUNCT
cord-005350-19za0msu	493	22	but	but	CCONJ
cord-005350-19za0msu	493	23	this	this	DET
cord-005350-19za0msu	493	24	phenomenon	phenomenon	NOUN
cord-005350-19za0msu	493	25	gives	give	VERB
cord-005350-19za0msu	493	26	way	way	NOUN
cord-005350-19za0msu	493	27	to	to	ADP
cord-005350-19za0msu	493	28	a	a	DET
cord-005350-19za0msu	493	29	decrease	decrease	NOUN
cord-005350-19za0msu	493	30	close	close	ADV
cord-005350-19za0msu	493	31	to	to	ADP
cord-005350-19za0msu	493	32	the	the	DET
cord-005350-19za0msu	493	33	η	η	NOUN
cord-005350-19za0msu	493	34	=	=	SYM
cord-005350-19za0msu	493	35	0	0	NUM
cord-005350-19za0msu	493	36	critical	critical	ADJ
cord-005350-19za0msu	493	37	point	point	NOUN
cord-005350-19za0msu	493	38	(	(	PUNCT
cord-005350-19za0msu	493	39	fig	fig	NOUN
cord-005350-19za0msu	493	40	.	.	PUNCT
cord-005350-19za0msu	493	41	8d	8d	SYM
cord-005350-19za0msu	493	42	)	)	PUNCT
cord-005350-19za0msu	493	43	.	.	PUNCT
cord-005350-19za0msu	494	1	this	this	DET
cord-005350-19za0msu	494	2	finding	finding	NOUN
cord-005350-19za0msu	494	3	is	be	AUX
cord-005350-19za0msu	494	4	not	not	PART
cord-005350-19za0msu	494	5	so	so	ADV
cord-005350-19za0msu	494	6	surprising	surprising	ADJ
cord-005350-19za0msu	494	7	when	when	SCONJ
cord-005350-19za0msu	494	8	one	one	PRON
cord-005350-19za0msu	494	9	recalls	recall	VERB
cord-005350-19za0msu	494	10	that	that	SCONJ
cord-005350-19za0msu	494	11	the	the	DET
cord-005350-19za0msu	494	12	single	single	ADJ
cord-005350-19za0msu	494	13	biologically	biologically	ADV
cord-005350-19za0msu	494	14	feasible	feasible	ADJ
cord-005350-19za0msu	494	15	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	494	16	in	in	ADP
cord-005350-19za0msu	494	17	the	the	DET
cord-005350-19za0msu	494	18	η	η	X
cord-005350-19za0msu	494	19	>	>	SYM
cord-005350-19za0msu	494	20	0	0	NUM
cord-005350-19za0msu	494	21	model	model	NOUN
cord-005350-19za0msu	494	22	changes	change	NOUN
cord-005350-19za0msu	494	23	from	from	ADP
cord-005350-19za0msu	494	24	a	a	DET
cord-005350-19za0msu	494	25	stable	stable	ADJ
cord-005350-19za0msu	494	26	spiral	spiral	NOUN
cord-005350-19za0msu	494	27	to	to	ADP
cord-005350-19za0msu	494	28	a	a	DET
cord-005350-19za0msu	494	29	stable	stable	ADJ
cord-005350-19za0msu	494	30	node	node	NOUN
cord-005350-19za0msu	494	31	near	near	ADP
cord-005350-19za0msu	494	32	the	the	DET
cord-005350-19za0msu	494	33	critical	critical	ADJ
cord-005350-19za0msu	494	34	point	point	NOUN
cord-005350-19za0msu	494	35	as	as	ADP
cord-005350-19za0msu	494	36	in	in	ADP
cord-005350-19za0msu	494	37	addition	addition	NOUN
cord-005350-19za0msu	494	38	,	,	PUNCT
cord-005350-19za0msu	494	39	the	the	DET
cord-005350-19za0msu	494	40	roc	roc	PROPN
cord-005350-19za0msu	494	41	curves	curve	NOUN
cord-005350-19za0msu	494	42	indicate	indicate	VERB
cord-005350-19za0msu	494	43	that	that	SCONJ
cord-005350-19za0msu	494	44	the	the	DET
cord-005350-19za0msu	494	45	distributions	distribution	NOUN
cord-005350-19za0msu	494	46	of	of	ADP
cord-005350-19za0msu	494	47	kendall	kendall	PROPN
cord-005350-19za0msu	494	48	's	's	PART
cord-005350-19za0msu	494	49	τ	τ	NOUN
cord-005350-19za0msu	494	50	overlap	overlap	VERB
cord-005350-19za0msu	494	51	greatly	greatly	ADV
cord-005350-19za0msu	494	52	,	,	PUNCT
cord-005350-19za0msu	494	53	suggesting	suggest	VERB
cord-005350-19za0msu	494	54	that	that	SCONJ
cord-005350-19za0msu	494	55	it	it	PRON
cord-005350-19za0msu	494	56	is	be	AUX
cord-005350-19za0msu	494	57	difficult	difficult	ADJ
cord-005350-19za0msu	494	58	to	to	PART
cord-005350-19za0msu	494	59	reliably	reliably	ADV
cord-005350-19za0msu	494	60	distinguish	distinguish	VERB
cord-005350-19za0msu	494	61	between	between	ADP
cord-005350-19za0msu	494	62	a	a	DET
cord-005350-19za0msu	494	63	stable	stable	ADJ
cord-005350-19za0msu	494	64	system	system	NOUN
cord-005350-19za0msu	494	65	and	and	CCONJ
cord-005350-19za0msu	494	66	one	one	NUM
cord-005350-19za0msu	494	67	undergoing	undergo	VERB
cord-005350-19za0msu	494	68	a	a	DET
cord-005350-19za0msu	494	69	critical	critical	ADJ
cord-005350-19za0msu	494	70	transition	transition	NOUN
cord-005350-19za0msu	494	71	using	use	VERB
cord-005350-19za0msu	494	72	the	the	DET
cord-005350-19za0msu	494	73	lag-1	lag-1	PUNCT
cord-005350-19za0msu	494	74	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	494	75	coefficient	coefficient	NOUN
cord-005350-19za0msu	494	76	.	.	PUNCT
cord-005350-19za0msu	495	1	the	the	DET
cord-005350-19za0msu	495	2	coefficient	coefficient	NOUN
cord-005350-19za0msu	495	3	of	of	ADP
cord-005350-19za0msu	495	4	variation	variation	NOUN
cord-005350-19za0msu	495	5	also	also	ADV
cord-005350-19za0msu	495	6	performs	perform	VERB
cord-005350-19za0msu	495	7	poorly	poorly	ADV
cord-005350-19za0msu	495	8	,	,	PUNCT
cord-005350-19za0msu	495	9	as	as	SCONJ
cord-005350-19za0msu	495	10	predicted	predict	VERB
cord-005350-19za0msu	495	11	theoretically	theoretically	ADV
cord-005350-19za0msu	495	12	.	.	PUNCT
cord-005350-19za0msu	496	1	due	due	ADP
cord-005350-19za0msu	496	2	to	to	ADP
cord-005350-19za0msu	496	3	the	the	DET
cord-005350-19za0msu	496	4	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	496	5	delay	delay	NOUN
cord-005350-19za0msu	496	6	,	,	PUNCT
cord-005350-19za0msu	496	7	it	it	PRON
cord-005350-19za0msu	496	8	is	be	AUX
cord-005350-19za0msu	496	9	not	not	PART
cord-005350-19za0msu	496	10	surprising	surprising	ADJ
cord-005350-19za0msu	496	11	that	that	SCONJ
cord-005350-19za0msu	496	12	it	it	PRON
cord-005350-19za0msu	496	13	is	be	AUX
cord-005350-19za0msu	496	14	difficult	difficult	ADJ
cord-005350-19za0msu	496	15	to	to	PART
cord-005350-19za0msu	496	16	distinguish	distinguish	VERB
cord-005350-19za0msu	496	17	between	between	ADP
cord-005350-19za0msu	496	18	null	null	NOUN
cord-005350-19za0msu	496	19	and	and	CCONJ
cord-005350-19za0msu	496	20	test	test	NOUN
cord-005350-19za0msu	496	21	replicates	replicate	NOUN
cord-005350-19za0msu	496	22	.	.	PUNCT
cord-005350-19za0msu	497	1	a	a	DET
cord-005350-19za0msu	497	2	bandwidth	bandwidth	NOUN
cord-005350-19za0msu	497	3	of	of	ADP
cord-005350-19za0msu	497	4	20	20	NUM
cord-005350-19za0msu	497	5	months	month	NOUN
cord-005350-19za0msu	497	6	was	be	AUX
cord-005350-19za0msu	497	7	selected	select	VERB
cord-005350-19za0msu	497	8	for	for	ADP
cord-005350-19za0msu	497	9	the	the	DET
cord-005350-19za0msu	497	10	gaussian	gaussian	ADJ
cord-005350-19za0msu	497	11	filtering	filtering	NOUN
cord-005350-19za0msu	497	12	.	.	PUNCT
cord-005350-19za0msu	498	1	all	all	DET
cord-005350-19za0msu	498	2	calculations	calculation	NOUN
cord-005350-19za0msu	498	3	used	use	VERB
cord-005350-19za0msu	498	4	the	the	DET
cord-005350-19za0msu	498	5	parameter	parameter	NOUN
cord-005350-19za0msu	498	6	values	value	NOUN
cord-005350-19za0msu	498	7	in	in	ADP
cord-005350-19za0msu	498	8	table	table	NOUN
cord-005350-19za0msu	498	9	7	7	NUM
cord-005350-19za0msu	498	10	vaccination	vaccination	NOUN
cord-005350-19za0msu	498	11	is	be	AUX
cord-005350-19za0msu	498	12	increased	increase	VERB
cord-005350-19za0msu	498	13	.	.	PUNCT
cord-005350-19za0msu	499	1	the	the	DET
cord-005350-19za0msu	499	2	magnitude	magnitude	NOUN
cord-005350-19za0msu	499	3	of	of	ADP
cord-005350-19za0msu	499	4	the	the	DET
cord-005350-19za0msu	499	5	real	real	ADJ
cord-005350-19za0msu	499	6	part	part	NOUN
cord-005350-19za0msu	499	7	of	of	ADP
cord-005350-19za0msu	499	8	the	the	DET
cord-005350-19za0msu	499	9	eigenvalue	eigenvalue	NOUN
cord-005350-19za0msu	499	10	,	,	PUNCT
cord-005350-19za0msu	499	11	which	which	PRON
cord-005350-19za0msu	499	12	approximates	approximate	VERB
cord-005350-19za0msu	499	13	the	the	DET
cord-005350-19za0msu	499	14	rate	rate	NOUN
cord-005350-19za0msu	499	15	of	of	ADP
cord-005350-19za0msu	499	16	decay	decay	NOUN
cord-005350-19za0msu	499	17	of	of	ADP
cord-005350-19za0msu	499	18	the	the	DET
cord-005350-19za0msu	499	19	amplitude	amplitude	NOUN
cord-005350-19za0msu	499	20	of	of	ADP
cord-005350-19za0msu	499	21	the	the	DET
cord-005350-19za0msu	499	22	oscillations	oscillation	NOUN
cord-005350-19za0msu	499	23	to	to	ADP
cord-005350-19za0msu	499	24	the	the	DET
cord-005350-19za0msu	499	25	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	499	26	,	,	PUNCT
cord-005350-19za0msu	499	27	decreases	decrease	VERB
cord-005350-19za0msu	499	28	as	as	SCONJ
cord-005350-19za0msu	499	29	elimination	elimination	NOUN
cord-005350-19za0msu	499	30	is	be	AUX
cord-005350-19za0msu	499	31	approached	approach	VERB
cord-005350-19za0msu	499	32	,	,	PUNCT
cord-005350-19za0msu	499	33	but	but	CCONJ
cord-005350-19za0msu	499	34	,	,	PUNCT
cord-005350-19za0msu	499	35	near	near	ADP
cord-005350-19za0msu	499	36	the	the	DET
cord-005350-19za0msu	499	37	threshold	threshold	NOUN
cord-005350-19za0msu	499	38	,	,	PUNCT
cord-005350-19za0msu	499	39	the	the	DET
cord-005350-19za0msu	499	40	magnitude	magnitude	NOUN
cord-005350-19za0msu	499	41	of	of	ADP
cord-005350-19za0msu	499	42	the	the	DET
cord-005350-19za0msu	499	43	real	real	ADJ
cord-005350-19za0msu	499	44	part	part	NOUN
cord-005350-19za0msu	499	45	begins	begin	VERB
cord-005350-19za0msu	499	46	to	to	PART
cord-005350-19za0msu	499	47	increase	increase	VERB
cord-005350-19za0msu	499	48	once	once	ADV
cord-005350-19za0msu	499	49	more	more	ADV
cord-005350-19za0msu	499	50	,	,	PUNCT
cord-005350-19za0msu	499	51	indicating	indicate	VERB
cord-005350-19za0msu	499	52	a	a	DET
cord-005350-19za0msu	499	53	shorter	short	ADJ
cord-005350-19za0msu	499	54	return	return	NOUN
cord-005350-19za0msu	499	55	time	time	NOUN
cord-005350-19za0msu	499	56	to	to	ADP
cord-005350-19za0msu	499	57	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	499	58	and	and	CCONJ
cord-005350-19za0msu	499	59	increased	increase	VERB
cord-005350-19za0msu	499	60	resistance	resistance	NOUN
cord-005350-19za0msu	499	61	of	of	ADP
cord-005350-19za0msu	499	62	the	the	DET
cord-005350-19za0msu	499	63	system	system	NOUN
cord-005350-19za0msu	499	64	to	to	ADP
cord-005350-19za0msu	499	65	perturbations	perturbation	NOUN
cord-005350-19za0msu	499	66	,	,	PUNCT
cord-005350-19za0msu	499	67	as	as	SCONJ
cord-005350-19za0msu	499	68	the	the	DET
cord-005350-19za0msu	499	69	spiral	spiral	NOUN
cord-005350-19za0msu	499	70	begins	begin	VERB
cord-005350-19za0msu	499	71	to	to	PART
cord-005350-19za0msu	499	72	resemble	resemble	VERB
cord-005350-19za0msu	499	73	a	a	DET
cord-005350-19za0msu	499	74	node	node	NOUN
cord-005350-19za0msu	499	75	.	.	PUNCT
cord-005350-19za0msu	500	1	this	this	DET
cord-005350-19za0msu	500	2	subsequent	subsequent	ADJ
cord-005350-19za0msu	500	3	decline	decline	NOUN
cord-005350-19za0msu	500	4	in	in	ADP
cord-005350-19za0msu	500	5	system	system	NOUN
cord-005350-19za0msu	500	6	memory	memory	NOUN
cord-005350-19za0msu	500	7	is	be	AUX
cord-005350-19za0msu	500	8	reflected	reflect	VERB
cord-005350-19za0msu	500	9	in	in	ADP
cord-005350-19za0msu	500	10	the	the	DET
cord-005350-19za0msu	500	11	decrease	decrease	NOUN
cord-005350-19za0msu	500	12	in	in	ADP
cord-005350-19za0msu	500	13	the	the	DET
cord-005350-19za0msu	500	14	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	500	15	function	function	NOUN
cord-005350-19za0msu	500	16	near	near	ADP
cord-005350-19za0msu	500	17	the	the	DET
cord-005350-19za0msu	500	18	critical	critical	ADJ
cord-005350-19za0msu	500	19	point	point	NOUN
cord-005350-19za0msu	500	20	.	.	PUNCT
cord-005350-19za0msu	501	1	the	the	DET
cord-005350-19za0msu	501	2	more	more	ADV
cord-005350-19za0msu	501	3	rapid	rapid	ADJ
cord-005350-19za0msu	501	4	decay	decay	NOUN
cord-005350-19za0msu	501	5	of	of	ADP
cord-005350-19za0msu	501	6	the	the	DET
cord-005350-19za0msu	501	7	oscillations	oscillation	NOUN
cord-005350-19za0msu	501	8	is	be	AUX
cord-005350-19za0msu	501	9	also	also	ADV
cord-005350-19za0msu	501	10	reflected	reflect	VERB
cord-005350-19za0msu	501	11	in	in	ADP
cord-005350-19za0msu	501	12	the	the	DET
cord-005350-19za0msu	501	13	power	power	NOUN
cord-005350-19za0msu	501	14	spectrum	spectrum	NOUN
cord-005350-19za0msu	501	15	,	,	PUNCT
cord-005350-19za0msu	501	16	in	in	ADP
cord-005350-19za0msu	501	17	that	that	SCONJ
cord-005350-19za0msu	501	18	the	the	DET
cord-005350-19za0msu	501	19	the	the	DET
cord-005350-19za0msu	501	20	spectrum	spectrum	NOUN
cord-005350-19za0msu	501	21	peak	peak	NOUN
cord-005350-19za0msu	501	22	declines	decline	VERB
cord-005350-19za0msu	501	23	as	as	ADP
cord-005350-19za0msu	501	24	vaccination	vaccination	NOUN
cord-005350-19za0msu	501	25	uptake	uptake	NOUN
cord-005350-19za0msu	501	26	increases	increase	VERB
cord-005350-19za0msu	501	27	,	,	PUNCT
cord-005350-19za0msu	501	28	meaning	mean	VERB
cord-005350-19za0msu	501	29	that	that	SCONJ
cord-005350-19za0msu	501	30	the	the	DET
cord-005350-19za0msu	501	31	resonant	resonant	ADJ
cord-005350-19za0msu	501	32	frequencies	frequency	NOUN
cord-005350-19za0msu	501	33	become	become	VERB
cord-005350-19za0msu	501	34	less	less	ADV
cord-005350-19za0msu	501	35	amplified	amplify	VERB
cord-005350-19za0msu	501	36	.	.	PUNCT
cord-005350-19za0msu	502	1	on	on	ADP
cord-005350-19za0msu	502	2	the	the	DET
cord-005350-19za0msu	502	3	other	other	ADJ
cord-005350-19za0msu	502	4	hand	hand	NOUN
cord-005350-19za0msu	502	5	,	,	PUNCT
cord-005350-19za0msu	502	6	the	the	DET
cord-005350-19za0msu	502	7	recovery	recovery	NOUN
cord-005350-19za0msu	502	8	rate	rate	NOUN
cord-005350-19za0msu	502	9	of	of	ADP
cord-005350-19za0msu	502	10	the	the	DET
cord-005350-19za0msu	502	11	stable	stable	ADJ
cord-005350-19za0msu	502	12	spiral	spiral	NOUN
cord-005350-19za0msu	502	13	in	in	ADP
cord-005350-19za0msu	502	14	the	the	DET
cord-005350-19za0msu	502	15	limiting	limit	VERB
cord-005350-19za0msu	502	16	case	case	NOUN
cord-005350-19za0msu	502	17	decreases	decrease	VERB
cord-005350-19za0msu	502	18	much	much	ADV
cord-005350-19za0msu	502	19	more	more	ADV
cord-005350-19za0msu	502	20	dramatically	dramatically	ADV
cord-005350-19za0msu	502	21	on	on	ADP
cord-005350-19za0msu	502	22	the	the	DET
cord-005350-19za0msu	502	23	transition	transition	NOUN
cord-005350-19za0msu	502	24	to	to	ADP
cord-005350-19za0msu	502	25	elimination	elimination	NOUN
cord-005350-19za0msu	502	26	,	,	PUNCT
cord-005350-19za0msu	502	27	and	and	CCONJ
cord-005350-19za0msu	502	28	oscillations	oscillation	NOUN
cord-005350-19za0msu	502	29	at	at	ADP
cord-005350-19za0msu	502	30	the	the	DET
cord-005350-19za0msu	502	31	resonant	resonant	ADJ
cord-005350-19za0msu	502	32	frequencies	frequency	NOUN
cord-005350-19za0msu	502	33	become	become	VERB
cord-005350-19za0msu	502	34	more	more	ADV
cord-005350-19za0msu	502	35	amplified	amplify	VERB
cord-005350-19za0msu	502	36	.	.	PUNCT
cord-005350-19za0msu	503	1	thus	thus	ADV
cord-005350-19za0msu	503	2	,	,	PUNCT
cord-005350-19za0msu	503	3	while	while	SCONJ
cord-005350-19za0msu	503	4	the	the	DET
cord-005350-19za0msu	503	5	limiting	limiting	NOUN
cord-005350-19za0msu	503	6	case	case	NOUN
cord-005350-19za0msu	503	7	is	be	AUX
cord-005350-19za0msu	503	8	an	an	DET
cord-005350-19za0msu	503	9	important	important	ADJ
cord-005350-19za0msu	503	10	guide	guide	NOUN
cord-005350-19za0msu	503	11	in	in	ADP
cord-005350-19za0msu	503	12	understanding	understand	VERB
cord-005350-19za0msu	503	13	more	more	ADJ
cord-005350-19za0msu	503	14	general	general	ADJ
cord-005350-19za0msu	503	15	disease	disease	NOUN
cord-005350-19za0msu	503	16	models	model	NOUN
cord-005350-19za0msu	503	17	,	,	PUNCT
cord-005350-19za0msu	503	18	it	it	PRON
cord-005350-19za0msu	503	19	is	be	AUX
cord-005350-19za0msu	503	20	also	also	ADV
cord-005350-19za0msu	503	21	necessary	necessary	ADJ
cord-005350-19za0msu	503	22	to	to	PART
cord-005350-19za0msu	503	23	thoroughly	thoroughly	ADV
cord-005350-19za0msu	503	24	investigate	investigate	VERB
cord-005350-19za0msu	503	25	these	these	DET
cord-005350-19za0msu	503	26	models	model	NOUN
cord-005350-19za0msu	503	27	to	to	PART
cord-005350-19za0msu	503	28	understand	understand	VERB
cord-005350-19za0msu	503	29	the	the	DET
cord-005350-19za0msu	503	30	behavior	behavior	NOUN
cord-005350-19za0msu	503	31	of	of	ADP
cord-005350-19za0msu	503	32	systems	system	NOUN
cord-005350-19za0msu	503	33	approaching	approach	VERB
cord-005350-19za0msu	503	34	a	a	DET
cord-005350-19za0msu	503	35	critical	critical	ADJ
cord-005350-19za0msu	503	36	transition	transition	NOUN
cord-005350-19za0msu	503	37	.	.	PUNCT
cord-005350-19za0msu	504	1	this	this	DET
cord-005350-19za0msu	504	2	study	study	NOUN
cord-005350-19za0msu	504	3	has	have	AUX
cord-005350-19za0msu	504	4	followed	follow	VERB
cord-005350-19za0msu	504	5	kuehn	kuehn	NOUN
cord-005350-19za0msu	504	6	(	(	PUNCT
cord-005350-19za0msu	504	7	2011	2011	NUM
cord-005350-19za0msu	504	8	)	)	PUNCT
cord-005350-19za0msu	504	9	and	and	CCONJ
cord-005350-19za0msu	504	10	boettiger	boettiger	NOUN
cord-005350-19za0msu	504	11	and	and	CCONJ
cord-005350-19za0msu	504	12	hastings	hasting	NOUN
cord-005350-19za0msu	504	13	(	(	PUNCT
cord-005350-19za0msu	504	14	2012	2012	NUM
cord-005350-19za0msu	504	15	)	)	PUNCT
cord-005350-19za0msu	504	16	in	in	ADP
cord-005350-19za0msu	504	17	the	the	DET
cord-005350-19za0msu	504	18	use	use	NOUN
cord-005350-19za0msu	504	19	of	of	ADP
cord-005350-19za0msu	504	20	stochastic	stochastic	ADJ
cord-005350-19za0msu	504	21	differential	differential	ADJ
cord-005350-19za0msu	504	22	equations	equation	NOUN
cord-005350-19za0msu	504	23	to	to	PART
cord-005350-19za0msu	504	24	understand	understand	VERB
cord-005350-19za0msu	504	25	noise	noise	NOUN
cord-005350-19za0msu	504	26	-	-	PUNCT
cord-005350-19za0msu	504	27	induced	induce	VERB
cord-005350-19za0msu	504	28	phenomena	phenomenon	NOUN
cord-005350-19za0msu	504	29	that	that	PRON
cord-005350-19za0msu	504	30	occur	occur	VERB
cord-005350-19za0msu	504	31	during	during	ADP
cord-005350-19za0msu	504	32	a	a	DET
cord-005350-19za0msu	504	33	critical	critical	ADJ
cord-005350-19za0msu	504	34	transition	transition	NOUN
cord-005350-19za0msu	504	35	.	.	PUNCT
cord-005350-19za0msu	505	1	it	it	PRON
cord-005350-19za0msu	505	2	is	be	AUX
cord-005350-19za0msu	505	3	understood	understand	VERB
cord-005350-19za0msu	505	4	,	,	PUNCT
cord-005350-19za0msu	505	5	of	of	ADP
cord-005350-19za0msu	505	6	course	course	NOUN
cord-005350-19za0msu	505	7	,	,	PUNCT
cord-005350-19za0msu	505	8	that	that	SCONJ
cord-005350-19za0msu	505	9	for	for	ADP
cord-005350-19za0msu	505	10	discrete	discrete	ADJ
cord-005350-19za0msu	505	11	systems	system	NOUN
cord-005350-19za0msu	505	12	(	(	PUNCT
cord-005350-19za0msu	505	13	such	such	ADJ
cord-005350-19za0msu	505	14	as	as	ADP
cord-005350-19za0msu	505	15	infectious	infectious	ADJ
cord-005350-19za0msu	505	16	disease	disease	NOUN
cord-005350-19za0msu	505	17	transmission	transmission	NOUN
cord-005350-19za0msu	505	18	)	)	PUNCT
cord-005350-19za0msu	505	19	,	,	PUNCT
cord-005350-19za0msu	505	20	this	this	DET
cord-005350-19za0msu	505	21	continuum	continuum	PROPN
cord-005350-19za0msu	505	22	representation	representation	NOUN
cord-005350-19za0msu	505	23	is	be	AUX
cord-005350-19za0msu	505	24	only	only	ADV
cord-005350-19za0msu	505	25	an	an	DET
cord-005350-19za0msu	505	26	approximation	approximation	NOUN
cord-005350-19za0msu	505	27	,	,	PUNCT
cord-005350-19za0msu	505	28	and	and	CCONJ
cord-005350-19za0msu	505	29	,	,	PUNCT
cord-005350-19za0msu	505	30	moreover	moreover	ADV
cord-005350-19za0msu	505	31	,	,	PUNCT
cord-005350-19za0msu	505	32	that	that	SCONJ
cord-005350-19za0msu	505	33	the	the	DET
cord-005350-19za0msu	505	34	approximation	approximation	NOUN
cord-005350-19za0msu	505	35	breaks	break	VERB
cord-005350-19za0msu	505	36	down	down	ADP
cord-005350-19za0msu	505	37	as	as	ADP
cord-005350-19za0msu	505	38	the	the	DET
cord-005350-19za0msu	505	39	system	system	NOUN
cord-005350-19za0msu	505	40	size	size	NOUN
cord-005350-19za0msu	505	41	-	-	PUNCT
cord-005350-19za0msu	505	42	or	or	CCONJ
cord-005350-19za0msu	505	43	even	even	ADV
cord-005350-19za0msu	505	44	if	if	SCONJ
cord-005350-19za0msu	505	45	the	the	DET
cord-005350-19za0msu	505	46	size	size	NOUN
cord-005350-19za0msu	505	47	of	of	ADP
cord-005350-19za0msu	505	48	just	just	ADV
cord-005350-19za0msu	505	49	one	one	NUM
cord-005350-19za0msu	505	50	important	important	ADJ
cord-005350-19za0msu	505	51	compartment	compartment	NOUN
cord-005350-19za0msu	505	52	-	-	PUNCT
cord-005350-19za0msu	505	53	becomes	become	VERB
cord-005350-19za0msu	505	54	small	small	ADJ
cord-005350-19za0msu	505	55	.	.	PUNCT
cord-005350-19za0msu	506	1	the	the	DET
cord-005350-19za0msu	506	2	case	case	NOUN
cord-005350-19za0msu	506	3	of	of	ADP
cord-005350-19za0msu	506	4	disease	disease	NOUN
cord-005350-19za0msu	506	5	emergence	emergence	NOUN
cord-005350-19za0msu	506	6	,	,	PUNCT
cord-005350-19za0msu	506	7	where	where	SCONJ
cord-005350-19za0msu	506	8	the	the	DET
cord-005350-19za0msu	506	9	number	number	NOUN
cord-005350-19za0msu	506	10	of	of	ADP
cord-005350-19za0msu	506	11	infectious	infectious	ADJ
cord-005350-19za0msu	506	12	individuals	individual	NOUN
cord-005350-19za0msu	506	13	in	in	ADP
cord-005350-19za0msu	506	14	a	a	DET
cord-005350-19za0msu	506	15	population	population	NOUN
cord-005350-19za0msu	506	16	prior	prior	ADV
cord-005350-19za0msu	506	17	to	to	ADP
cord-005350-19za0msu	506	18	the	the	DET
cord-005350-19za0msu	506	19	critical	critical	ADJ
cord-005350-19za0msu	506	20	transition	transition	NOUN
cord-005350-19za0msu	506	21	is	be	AUX
cord-005350-19za0msu	506	22	typically	typically	ADV
cord-005350-19za0msu	506	23	zero	zero	NUM
cord-005350-19za0msu	506	24	and	and	CCONJ
cord-005350-19za0msu	506	25	only	only	ADV
cord-005350-19za0msu	506	26	occasionally	occasionally	ADV
cord-005350-19za0msu	506	27	one	one	NUM
cord-005350-19za0msu	506	28	or	or	CCONJ
cord-005350-19za0msu	506	29	more	more	ADJ
cord-005350-19za0msu	506	30	,	,	PUNCT
cord-005350-19za0msu	506	31	is	be	AUX
cord-005350-19za0msu	506	32	precisely	precisely	ADV
cord-005350-19za0msu	506	33	this	this	DET
cord-005350-19za0msu	506	34	situation	situation	NOUN
cord-005350-19za0msu	506	35	.	.	PUNCT
cord-005350-19za0msu	507	1	it	it	PRON
cord-005350-19za0msu	507	2	would	would	AUX
cord-005350-19za0msu	507	3	not	not	PART
cord-005350-19za0msu	507	4	be	be	AUX
cord-005350-19za0msu	507	5	surprising	surprising	ADJ
cord-005350-19za0msu	507	6	,	,	PUNCT
cord-005350-19za0msu	507	7	therefore	therefore	ADV
cord-005350-19za0msu	507	8	,	,	PUNCT
cord-005350-19za0msu	507	9	to	to	PART
cord-005350-19za0msu	507	10	discover	discover	VERB
cord-005350-19za0msu	507	11	the	the	DET
cord-005350-19za0msu	507	12	approach	approach	NOUN
cord-005350-19za0msu	507	13	taken	take	VERB
cord-005350-19za0msu	507	14	in	in	ADP
cord-005350-19za0msu	507	15	this	this	DET
cord-005350-19za0msu	507	16	paper	paper	NOUN
cord-005350-19za0msu	507	17	to	to	PART
cord-005350-19za0msu	507	18	perform	perform	VERB
cord-005350-19za0msu	507	19	poorly	poorly	ADV
cord-005350-19za0msu	507	20	in	in	ADP
cord-005350-19za0msu	507	21	this	this	DET
cord-005350-19za0msu	507	22	situation	situation	NOUN
cord-005350-19za0msu	507	23	.	.	PUNCT
cord-005350-19za0msu	508	1	but	but	CCONJ
cord-005350-19za0msu	508	2	,	,	PUNCT
cord-005350-19za0msu	508	3	this	this	PRON
cord-005350-19za0msu	508	4	is	be	AUX
cord-005350-19za0msu	508	5	not	not	PART
cord-005350-19za0msu	508	6	the	the	DET
cord-005350-19za0msu	508	7	case	case	NOUN
cord-005350-19za0msu	508	8	.	.	PUNCT
cord-005350-19za0msu	509	1	as	as	ADP
cord-005350-19za0msu	509	2	figs	fig	NOUN
cord-005350-19za0msu	509	3	.	.	PUNCT
cord-005350-19za0msu	510	1	13	13	NUM
cord-005350-19za0msu	510	2	and	and	CCONJ
cord-005350-19za0msu	510	3	14	14	NUM
cord-005350-19za0msu	510	4	show	show	NOUN
cord-005350-19za0msu	510	5	,	,	PUNCT
cord-005350-19za0msu	510	6	in	in	ADP
cord-005350-19za0msu	510	7	both	both	CCONJ
cord-005350-19za0msu	510	8	the	the	DET
cord-005350-19za0msu	510	9	sis	sis	NOUN
cord-005350-19za0msu	510	10	and	and	CCONJ
cord-005350-19za0msu	510	11	sir	sir	PROPN
cord-005350-19za0msu	510	12	systems	system	NOUN
cord-005350-19za0msu	510	13	,	,	PUNCT
cord-005350-19za0msu	510	14	the	the	DET
cord-005350-19za0msu	510	15	"	"	PUNCT
cord-005350-19za0msu	510	16	measured	measured	ADJ
cord-005350-19za0msu	510	17	"	"	PUNCT
cord-005350-19za0msu	510	18	statistics	statistic	NOUN
cord-005350-19za0msu	510	19	obtained	obtain	VERB
cord-005350-19za0msu	510	20	in	in	ADP
cord-005350-19za0msu	510	21	simulation	simulation	NOUN
cord-005350-19za0msu	510	22	are	be	AUX
cord-005350-19za0msu	510	23	qualitatively	qualitatively	ADV
cord-005350-19za0msu	510	24	similar	similar	ADJ
cord-005350-19za0msu	510	25	to	to	ADP
cord-005350-19za0msu	510	26	the	the	DET
cord-005350-19za0msu	510	27	analytic	analytic	ADJ
cord-005350-19za0msu	510	28	expressions	expression	NOUN
cord-005350-19za0msu	510	29	reported	report	VERB
cord-005350-19za0msu	510	30	in	in	ADP
cord-005350-19za0msu	510	31	table	table	NOUN
cord-005350-19za0msu	510	32	4	4	NUM
cord-005350-19za0msu	510	33	,	,	PUNCT
cord-005350-19za0msu	510	34	with	with	ADP
cord-005350-19za0msu	510	35	the	the	DET
cord-005350-19za0msu	510	36	exception	exception	NOUN
cord-005350-19za0msu	510	37	of	of	ADP
cord-005350-19za0msu	510	38	the	the	DET
cord-005350-19za0msu	510	39	coefficient	coefficient	NOUN
cord-005350-19za0msu	510	40	of	of	ADP
cord-005350-19za0msu	510	41	variation	variation	NOUN
cord-005350-19za0msu	510	42	in	in	ADP
cord-005350-19za0msu	510	43	the	the	DET
cord-005350-19za0msu	510	44	sir	sir	PROPN
cord-005350-19za0msu	510	45	model	model	NOUN
cord-005350-19za0msu	510	46	.	.	PUNCT
cord-005350-19za0msu	511	1	we	we	PRON
cord-005350-19za0msu	511	2	note	note	VERB
cord-005350-19za0msu	511	3	,	,	PUNCT
cord-005350-19za0msu	511	4	further	far	ADV
cord-005350-19za0msu	511	5	,	,	PUNCT
cord-005350-19za0msu	511	6	that	that	SCONJ
cord-005350-19za0msu	511	7	although	although	SCONJ
cord-005350-19za0msu	511	8	emergence	emergence	NOUN
cord-005350-19za0msu	511	9	was	be	AUX
cord-005350-19za0msu	511	10	difficult	difficult	ADJ
cord-005350-19za0msu	511	11	to	to	PART
cord-005350-19za0msu	511	12	predict	predict	VERB
cord-005350-19za0msu	511	13	(	(	PUNCT
cord-005350-19za0msu	511	14	auc	auc	ADJ
cord-005350-19za0msu	511	15	values	value	NOUN
cord-005350-19za0msu	511	16	were	be	AUX
cord-005350-19za0msu	511	17	not	not	PART
cord-005350-19za0msu	511	18	much	much	ADV
cord-005350-19za0msu	511	19	greater	great	ADJ
cord-005350-19za0msu	511	20	than	than	ADP
cord-005350-19za0msu	511	21	0.5	0.5	NUM
cord-005350-19za0msu	511	22	)	)	PUNCT
cord-005350-19za0msu	511	23	,	,	PUNCT
cord-005350-19za0msu	511	24	the	the	DET
cord-005350-19za0msu	511	25	van	van	PROPN
cord-005350-19za0msu	511	26	kampen	kampen	PROPN
cord-005350-19za0msu	511	27	detrending	detrending	NOUN
cord-005350-19za0msu	511	28	,	,	PUNCT
cord-005350-19za0msu	511	29	which	which	PRON
cord-005350-19za0msu	511	30	we	we	PRON
cord-005350-19za0msu	511	31	think	think	VERB
cord-005350-19za0msu	511	32	of	of	ADP
cord-005350-19za0msu	511	33	as	as	ADP
cord-005350-19za0msu	511	34	the	the	DET
cord-005350-19za0msu	511	35	theorydependent	theorydependent	NOUN
cord-005350-19za0msu	511	36	approach	approach	NOUN
cord-005350-19za0msu	511	37	,	,	PUNCT
cord-005350-19za0msu	511	38	typically	typically	ADV
cord-005350-19za0msu	511	39	performed	perform	VERB
cord-005350-19za0msu	511	40	better	well	ADV
cord-005350-19za0msu	511	41	than	than	ADP
cord-005350-19za0msu	511	42	generic	generic	ADJ
cord-005350-19za0msu	511	43	gaussian	gaussian	ADJ
cord-005350-19za0msu	511	44	detrending	detrending	NOUN
cord-005350-19za0msu	511	45	,	,	PUNCT
cord-005350-19za0msu	511	46	which	which	PRON
cord-005350-19za0msu	511	47	may	may	AUX
cord-005350-19za0msu	511	48	be	be	AUX
cord-005350-19za0msu	511	49	computed	compute	VERB
cord-005350-19za0msu	511	50	without	without	ADP
cord-005350-19za0msu	511	51	any	any	DET
cord-005350-19za0msu	511	52	theoretical	theoretical	ADJ
cord-005350-19za0msu	511	53	assumptions	assumption	NOUN
cord-005350-19za0msu	511	54	.	.	PUNCT
cord-005350-19za0msu	512	1	it	it	PRON
cord-005350-19za0msu	512	2	is	be	AUX
cord-005350-19za0msu	512	3	,	,	PUNCT
cord-005350-19za0msu	512	4	nevertheless	nevertheless	ADV
cord-005350-19za0msu	512	5	,	,	PUNCT
cord-005350-19za0msu	512	6	a	a	DET
cord-005350-19za0msu	512	7	concern	concern	NOUN
cord-005350-19za0msu	512	8	that	that	SCONJ
cord-005350-19za0msu	512	9	the	the	DET
cord-005350-19za0msu	512	10	approach	approach	NOUN
cord-005350-19za0msu	512	11	taken	take	VERB
cord-005350-19za0msu	512	12	here	here	ADV
cord-005350-19za0msu	512	13	will	will	AUX
cord-005350-19za0msu	512	14	be	be	AUX
cord-005350-19za0msu	512	15	misleading	misleading	ADJ
cord-005350-19za0msu	512	16	under	under	ADP
cord-005350-19za0msu	512	17	some	some	DET
cord-005350-19za0msu	512	18	scenarios	scenario	NOUN
cord-005350-19za0msu	512	19	:	:	PUNCT
cord-005350-19za0msu	512	20	for	for	ADP
cord-005350-19za0msu	512	21	instance	instance	NOUN
cord-005350-19za0msu	512	22	,	,	PUNCT
cord-005350-19za0msu	512	23	a	a	DET
cord-005350-19za0msu	512	24	very	very	ADV
cord-005350-19za0msu	512	25	slow	slow	ADJ
cord-005350-19za0msu	512	26	approach	approach	NOUN
cord-005350-19za0msu	512	27	to	to	ADP
cord-005350-19za0msu	512	28	the	the	DET
cord-005350-19za0msu	512	29	critical	critical	ADJ
cord-005350-19za0msu	512	30	transition	transition	NOUN
cord-005350-19za0msu	512	31	,	,	PUNCT
cord-005350-19za0msu	512	32	when	when	SCONJ
cord-005350-19za0msu	512	33	the	the	DET
cord-005350-19za0msu	512	34	time	time	NOUN
cord-005350-19za0msu	512	35	between	between	ADP
cord-005350-19za0msu	512	36	immigration	immigration	NOUN
cord-005350-19za0msu	512	37	events	event	NOUN
cord-005350-19za0msu	512	38	may	may	AUX
cord-005350-19za0msu	512	39	be	be	AUX
cord-005350-19za0msu	512	40	large	large	ADJ
cord-005350-19za0msu	512	41	and	and	CCONJ
cord-005350-19za0msu	512	42	the	the	DET
cord-005350-19za0msu	512	43	van	van	PROPN
cord-005350-19za0msu	512	44	kampen	kampen	PROPN
cord-005350-19za0msu	512	45	approximation	approximation	NOUN
cord-005350-19za0msu	512	46	is	be	AUX
cord-005350-19za0msu	512	47	likely	likely	ADJ
cord-005350-19za0msu	512	48	to	to	PART
cord-005350-19za0msu	512	49	break	break	VERB
cord-005350-19za0msu	512	50	down	down	ADP
cord-005350-19za0msu	512	51	.	.	PUNCT
cord-005350-19za0msu	513	1	moreover	moreover	ADV
cord-005350-19za0msu	513	2	,	,	PUNCT
cord-005350-19za0msu	513	3	the	the	DET
cord-005350-19za0msu	513	4	stochastic	stochastic	NOUN
cord-005350-19za0msu	513	5	features	feature	NOUN
cord-005350-19za0msu	513	6	of	of	ADP
cord-005350-19za0msu	513	7	bifurcation	bifurcation	NOUN
cord-005350-19za0msu	513	8	delay	delay	NOUN
cord-005350-19za0msu	513	9	,	,	PUNCT
cord-005350-19za0msu	513	10	particularly	particularly	ADV
cord-005350-19za0msu	513	11	important	important	ADJ
cord-005350-19za0msu	513	12	in	in	ADP
cord-005350-19za0msu	513	13	the	the	DET
cord-005350-19za0msu	513	14	emergence	emergence	NOUN
cord-005350-19za0msu	513	15	scenarios	scenario	NOUN
cord-005350-19za0msu	513	16	,	,	PUNCT
cord-005350-19za0msu	513	17	depend	depend	VERB
cord-005350-19za0msu	513	18	heavily	heavily	ADV
cord-005350-19za0msu	513	19	on	on	ADP
cord-005350-19za0msu	513	20	(	(	PUNCT
cord-005350-19za0msu	513	21	a	a	X
cord-005350-19za0msu	513	22	)	)	PUNCT
cord-005350-19za0msu	513	23	the	the	DET
cord-005350-19za0msu	513	24	sequence	sequence	NOUN
cord-005350-19za0msu	513	25	of	of	ADP
cord-005350-19za0msu	513	26	immigration	immigration	NOUN
cord-005350-19za0msu	513	27	events	event	NOUN
cord-005350-19za0msu	513	28	by	by	ADP
cord-005350-19za0msu	513	29	infectious	infectious	ADJ
cord-005350-19za0msu	513	30	individuals	individual	NOUN
cord-005350-19za0msu	513	31	,	,	PUNCT
cord-005350-19za0msu	513	32	and	and	CCONJ
cord-005350-19za0msu	513	33	(	(	PUNCT
cord-005350-19za0msu	513	34	b	b	X
cord-005350-19za0msu	513	35	)	)	PUNCT
cord-005350-19za0msu	513	36	the	the	DET
cord-005350-19za0msu	513	37	probability	probability	NOUN
cord-005350-19za0msu	513	38	of	of	ADP
cord-005350-19za0msu	513	39	nonextinction	nonextinction	NOUN
cord-005350-19za0msu	513	40	for	for	ADP
cord-005350-19za0msu	513	41	a	a	DET
cord-005350-19za0msu	513	42	transmission	transmission	NOUN
cord-005350-19za0msu	513	43	chain	chain	NOUN
cord-005350-19za0msu	513	44	initiated	initiate	VERB
cord-005350-19za0msu	513	45	by	by	ADP
cord-005350-19za0msu	513	46	an	an	DET
cord-005350-19za0msu	513	47	infectious	infectious	ADJ
cord-005350-19za0msu	513	48	individual	individual	NOUN
cord-005350-19za0msu	513	49	after	after	SCONJ
cord-005350-19za0msu	513	50	the	the	DET
cord-005350-19za0msu	513	51	critical	critical	ADJ
cord-005350-19za0msu	513	52	point	point	NOUN
cord-005350-19za0msu	513	53	has	have	AUX
cord-005350-19za0msu	513	54	been	be	AUX
cord-005350-19za0msu	513	55	passed	pass	VERB
cord-005350-19za0msu	513	56	.	.	PUNCT
cord-005350-19za0msu	514	1	these	these	PRON
cord-005350-19za0msu	514	2	are	be	AUX
cord-005350-19za0msu	514	3	both	both	PRON
cord-005350-19za0msu	514	4	intrinsically	intrinsically	ADV
cord-005350-19za0msu	514	5	discrete	discrete	ADJ
cord-005350-19za0msu	514	6	aspects	aspect	NOUN
cord-005350-19za0msu	514	7	of	of	ADP
cord-005350-19za0msu	514	8	the	the	DET
cord-005350-19za0msu	514	9	emergence	emergence	NOUN
cord-005350-19za0msu	514	10	process	process	NOUN
cord-005350-19za0msu	514	11	.	.	PUNCT
cord-005350-19za0msu	515	1	for	for	ADP
cord-005350-19za0msu	515	2	this	this	DET
cord-005350-19za0msu	515	3	reason	reason	NOUN
cord-005350-19za0msu	515	4	,	,	PUNCT
cord-005350-19za0msu	515	5	we	we	PRON
cord-005350-19za0msu	515	6	suggest	suggest	VERB
cord-005350-19za0msu	515	7	that	that	SCONJ
cord-005350-19za0msu	515	8	the	the	DET
cord-005350-19za0msu	515	9	study	study	NOUN
cord-005350-19za0msu	515	10	of	of	ADP
cord-005350-19za0msu	515	11	(	(	PUNCT
cord-005350-19za0msu	515	12	nonstationary	nonstationary	ADJ
cord-005350-19za0msu	515	13	)	)	PUNCT
cord-005350-19za0msu	515	14	discrete	discrete	ADJ
cord-005350-19za0msu	515	15	transmission	transmission	NOUN
cord-005350-19za0msu	515	16	models	model	NOUN
cord-005350-19za0msu	515	17	may	may	AUX
cord-005350-19za0msu	515	18	be	be	AUX
cord-005350-19za0msu	515	19	a	a	DET
cord-005350-19za0msu	515	20	fruitful	fruitful	ADJ
cord-005350-19za0msu	515	21	direction	direction	NOUN
cord-005350-19za0msu	515	22	for	for	ADP
cord-005350-19za0msu	515	23	further	further	ADJ
cord-005350-19za0msu	515	24	study	study	NOUN
cord-005350-19za0msu	515	25	.	.	PUNCT
cord-005350-19za0msu	516	1	there	there	PRON
cord-005350-19za0msu	516	2	is	be	VERB
cord-005350-19za0msu	516	3	,	,	PUNCT
cord-005350-19za0msu	516	4	of	of	ADP
cord-005350-19za0msu	516	5	course	course	NOUN
cord-005350-19za0msu	516	6	,	,	PUNCT
cord-005350-19za0msu	516	7	a	a	DET
cord-005350-19za0msu	516	8	large	large	ADJ
cord-005350-19za0msu	516	9	body	body	NOUN
cord-005350-19za0msu	516	10	of	of	ADP
cord-005350-19za0msu	516	11	work	work	NOUN
cord-005350-19za0msu	516	12	on	on	ADP
cord-005350-19za0msu	516	13	(	(	PUNCT
cord-005350-19za0msu	516	14	stationary	stationary	ADJ
cord-005350-19za0msu	516	15	)	)	PUNCT
cord-005350-19za0msu	516	16	discrete	discrete	ADJ
cord-005350-19za0msu	516	17	contagion	contagion	NOUN
cord-005350-19za0msu	516	18	models	model	NOUN
cord-005350-19za0msu	516	19	on	on	ADP
cord-005350-19za0msu	516	20	which	which	PRON
cord-005350-19za0msu	516	21	such	such	DET
cord-005350-19za0msu	516	22	a	a	DET
cord-005350-19za0msu	516	23	theory	theory	NOUN
cord-005350-19za0msu	516	24	could	could	AUX
cord-005350-19za0msu	516	25	build	build	VERB
cord-005350-19za0msu	516	26	(	(	PUNCT
cord-005350-19za0msu	516	27	bailey	bailey	PROPN
cord-005350-19za0msu	516	28	1964	1964	NUM
cord-005350-19za0msu	516	29	;	;	PUNCT
cord-005350-19za0msu	516	30	renshaw	renshaw	PROPN
cord-005350-19za0msu	516	31	1991	1991	NUM
cord-005350-19za0msu	516	32	;	;	PUNCT
cord-005350-19za0msu	516	33	daley	daley	PROPN
cord-005350-19za0msu	516	34	and	and	CCONJ
cord-005350-19za0msu	516	35	gani	gani	PROPN
cord-005350-19za0msu	516	36	1999	1999	NUM
cord-005350-19za0msu	516	37	;	;	PUNCT
cord-005350-19za0msu	516	38	allen	allen	PROPN
cord-005350-19za0msu	516	39	2003	2003	NUM
cord-005350-19za0msu	516	40	)	)	PUNCT
cord-005350-19za0msu	516	41	.	.	PUNCT
cord-005350-19za0msu	517	1	in	in	ADP
cord-005350-19za0msu	517	2	conclusion	conclusion	NOUN
cord-005350-19za0msu	517	3	,	,	PUNCT
cord-005350-19za0msu	517	4	early	early	ADJ
cord-005350-19za0msu	517	5	warning	warning	NOUN
cord-005350-19za0msu	517	6	systems	system	NOUN
cord-005350-19za0msu	517	7	for	for	ADP
cord-005350-19za0msu	517	8	emerging	emerge	VERB
cord-005350-19za0msu	517	9	infectious	infectious	ADJ
cord-005350-19za0msu	517	10	diseases	disease	NOUN
cord-005350-19za0msu	517	11	and	and	CCONJ
cord-005350-19za0msu	517	12	leading	leading	ADJ
cord-005350-19za0msu	517	13	indicators	indicator	NOUN
cord-005350-19za0msu	517	14	of	of	ADP
cord-005350-19za0msu	517	15	elimination	elimination	NOUN
cord-005350-19za0msu	517	16	,	,	PUNCT
cord-005350-19za0msu	517	17	which	which	PRON
cord-005350-19za0msu	517	18	would	would	AUX
cord-005350-19za0msu	517	19	be	be	AUX
cord-005350-19za0msu	517	20	of	of	ADP
cord-005350-19za0msu	517	21	tremendous	tremendous	ADJ
cord-005350-19za0msu	517	22	benefit	benefit	NOUN
cord-005350-19za0msu	517	23	to	to	ADP
cord-005350-19za0msu	517	24	society	society	NOUN
cord-005350-19za0msu	517	25	,	,	PUNCT
cord-005350-19za0msu	517	26	now	now	ADV
cord-005350-19za0msu	517	27	appear	appear	VERB
cord-005350-19za0msu	517	28	to	to	PART
cord-005350-19za0msu	517	29	be	be	AUX
cord-005350-19za0msu	517	30	potentially	potentially	ADV
cord-005350-19za0msu	517	31	achievable	achievable	ADJ
cord-005350-19za0msu	517	32	.	.	PUNCT
cord-005350-19za0msu	518	1	their	their	PRON
cord-005350-19za0msu	518	2	realization	realization	NOUN
cord-005350-19za0msu	518	3	depends	depend	VERB
cord-005350-19za0msu	518	4	on	on	ADP
cord-005350-19za0msu	518	5	two	two	NUM
cord-005350-19za0msu	518	6	key	key	ADJ
cord-005350-19za0msu	518	7	developments	development	NOUN
cord-005350-19za0msu	518	8	:	:	PUNCT
cord-005350-19za0msu	518	9	(	(	PUNCT
cord-005350-19za0msu	518	10	1	1	X
cord-005350-19za0msu	518	11	)	)	PUNCT
cord-005350-19za0msu	518	12	better	well	ADJ
cord-005350-19za0msu	518	13	understanding	understanding	NOUN
cord-005350-19za0msu	518	14	of	of	ADP
cord-005350-19za0msu	518	15	noiseinduced	noiseinduced	ADJ
cord-005350-19za0msu	518	16	phenomena	phenomenon	NOUN
cord-005350-19za0msu	518	17	exhibited	exhibit	VERB
cord-005350-19za0msu	518	18	by	by	ADP
cord-005350-19za0msu	518	19	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	518	20	contagion	contagion	NOUN
cord-005350-19za0msu	518	21	processes	process	NOUN
cord-005350-19za0msu	518	22	in	in	ADP
cord-005350-19za0msu	518	23	the	the	DET
cord-005350-19za0msu	518	24	vicinity	vicinity	NOUN
cord-005350-19za0msu	518	25	of	of	ADP
cord-005350-19za0msu	518	26	their	their	PRON
cord-005350-19za0msu	518	27	critical	critical	ADJ
cord-005350-19za0msu	518	28	points	point	NOUN
cord-005350-19za0msu	518	29	,	,	PUNCT
cord-005350-19za0msu	518	30	and	and	CCONJ
cord-005350-19za0msu	518	31	(	(	PUNCT
cord-005350-19za0msu	518	32	2	2	X
cord-005350-19za0msu	518	33	)	)	PUNCT
cord-005350-19za0msu	518	34	surveillance	surveillance	NOUN
cord-005350-19za0msu	518	35	methods	method	NOUN
cord-005350-19za0msu	518	36	that	that	PRON
cord-005350-19za0msu	518	37	acquire	acquire	VERB
cord-005350-19za0msu	518	38	data	datum	NOUN
cord-005350-19za0msu	518	39	of	of	ADP
cord-005350-19za0msu	518	40	sufficiently	sufficiently	ADV
cord-005350-19za0msu	518	41	high	high	ADJ
cord-005350-19za0msu	518	42	accuracy	accuracy	NOUN
cord-005350-19za0msu	518	43	,	,	PUNCT
cord-005350-19za0msu	518	44	resolution	resolution	NOUN
cord-005350-19za0msu	518	45	,	,	PUNCT
cord-005350-19za0msu	518	46	and	and	CCONJ
cord-005350-19za0msu	518	47	timeliness	timeliness	NOUN
cord-005350-19za0msu	518	48	.	.	PUNCT
cord-005350-19za0msu	519	1	toward	toward	ADP
cord-005350-19za0msu	519	2	the	the	DET
cord-005350-19za0msu	519	3	first	first	ADJ
cord-005350-19za0msu	519	4	of	of	ADP
cord-005350-19za0msu	519	5	these	these	DET
cord-005350-19za0msu	519	6	goals	goal	NOUN
cord-005350-19za0msu	519	7	,	,	PUNCT
cord-005350-19za0msu	519	8	our	our	PRON
cord-005350-19za0msu	519	9	studies	study	NOUN
cord-005350-19za0msu	519	10	have	have	AUX
cord-005350-19za0msu	519	11	indicated	indicate	VERB
cord-005350-19za0msu	519	12	that	that	SCONJ
cord-005350-19za0msu	519	13	anticipation	anticipation	NOUN
cord-005350-19za0msu	519	14	of	of	ADP
cord-005350-19za0msu	519	15	critical	critical	ADJ
cord-005350-19za0msu	519	16	transitions	transition	NOUN
cord-005350-19za0msu	519	17	is	be	AUX
cord-005350-19za0msu	519	18	theoretically	theoretically	ADV
cord-005350-19za0msu	519	19	possible	possible	ADJ
cord-005350-19za0msu	519	20	.	.	PUNCT
cord-005350-19za0msu	520	1	it	it	PRON
cord-005350-19za0msu	520	2	is	be	AUX
cord-005350-19za0msu	520	3	hoped	hope	VERB
cord-005350-19za0msu	520	4	that	that	SCONJ
cord-005350-19za0msu	520	5	these	these	DET
cord-005350-19za0msu	520	6	results	result	NOUN
cord-005350-19za0msu	520	7	,	,	PUNCT
cord-005350-19za0msu	520	8	which	which	PRON
cord-005350-19za0msu	520	9	include	include	VERB
cord-005350-19za0msu	520	10	expressions	expression	NOUN
cord-005350-19za0msu	520	11	for	for	ADP
cord-005350-19za0msu	520	12	the	the	DET
cord-005350-19za0msu	520	13	key	key	ADJ
cord-005350-19za0msu	520	14	observable	observable	ADJ
cord-005350-19za0msu	520	15	phenomena	phenomena	NOUN
cord-005350-19za0msu	520	16	(	(	PUNCT
cord-005350-19za0msu	520	17	table	table	NOUN
cord-005350-19za0msu	520	18	4	4	NUM
cord-005350-19za0msu	520	19	)	)	PUNCT
cord-005350-19za0msu	520	20	,	,	PUNCT
cord-005350-19za0msu	520	21	may	may	AUX
cord-005350-19za0msu	520	22	help	help	VERB
cord-005350-19za0msu	520	23	to	to	PART
cord-005350-19za0msu	520	24	guide	guide	VERB
cord-005350-19za0msu	520	25	achievement	achievement	NOUN
cord-005350-19za0msu	520	26	of	of	ADP
cord-005350-19za0msu	520	27	the	the	DET
cord-005350-19za0msu	520	28	second	second	NOUN
cord-005350-19za0msu	520	29	,	,	PUNCT
cord-005350-19za0msu	520	30	which	which	PRON
cord-005350-19za0msu	520	31	is	be	AUX
cord-005350-19za0msu	520	32	now	now	ADV
cord-005350-19za0msu	520	33	the	the	DET
cord-005350-19za0msu	520	34	most	most	ADV
cord-005350-19za0msu	520	35	important	important	ADJ
cord-005350-19za0msu	520	36	outstanding	outstanding	ADJ
cord-005350-19za0msu	520	37	problem	problem	NOUN
cord-005350-19za0msu	520	38	,	,	PUNCT
cord-005350-19za0msu	520	39	i.e.	i.e.	X
cord-005350-19za0msu	520	40	,	,	PUNCT
cord-005350-19za0msu	520	41	empirical	empirical	ADJ
cord-005350-19za0msu	520	42	demonstration	demonstration	NOUN
cord-005350-19za0msu	520	43	in	in	ADP
cord-005350-19za0msu	520	44	experimental	experimental	ADJ
cord-005350-19za0msu	520	45	or	or	CCONJ
cord-005350-19za0msu	520	46	surveillance	surveillance	NOUN
cord-005350-19za0msu	520	47	data	datum	NOUN
cord-005350-19za0msu	520	48	.	.	PUNCT
cord-005350-19za0msu	521	1	the	the	DET
cord-005350-19za0msu	521	2	deterministic	deterministic	ADJ
cord-005350-19za0msu	521	3	system	system	NOUN
cord-005350-19za0msu	521	4	describes	describe	VERB
cord-005350-19za0msu	521	5	the	the	DET
cord-005350-19za0msu	521	6	evolution	evolution	NOUN
cord-005350-19za0msu	521	7	of	of	ADP
cord-005350-19za0msu	521	8	the	the	DET
cord-005350-19za0msu	521	9	trend	trend	NOUN
cord-005350-19za0msu	521	10	or	or	CCONJ
cord-005350-19za0msu	521	11	the	the	DET
cord-005350-19za0msu	521	12	location	location	NOUN
cord-005350-19za0msu	521	13	of	of	ADP
cord-005350-19za0msu	521	14	the	the	DET
cord-005350-19za0msu	521	15	peak	peak	NOUN
cord-005350-19za0msu	521	16	of	of	ADP
cord-005350-19za0msu	521	17	the	the	DET
cord-005350-19za0msu	521	18	probability	probability	NOUN
cord-005350-19za0msu	521	19	distribution	distribution	NOUN
cord-005350-19za0msu	521	20	of	of	ADP
cord-005350-19za0msu	521	21	the	the	DET
cord-005350-19za0msu	521	22	infectious	infectious	ADJ
cord-005350-19za0msu	521	23	state	state	NOUN
cord-005350-19za0msu	521	24	i	i	PRON
cord-005350-19za0msu	521	25	at	at	ADP
cord-005350-19za0msu	521	26	a	a	DET
cord-005350-19za0msu	521	27	given	give	VERB
cord-005350-19za0msu	521	28	time	time	NOUN
cord-005350-19za0msu	521	29	t.	t.	VERB
cord-005350-19za0msu	521	30	the	the	DET
cord-005350-19za0msu	521	31	variable	variable	ADJ
cord-005350-19za0msu	521	32	ϕ(t	ϕ(t	NOUN
cord-005350-19za0msu	521	33	)	)	PUNCT
cord-005350-19za0msu	521	34	is	be	AUX
cord-005350-19za0msu	521	35	defined	define	VERB
cord-005350-19za0msu	521	36	as	as	ADP
cord-005350-19za0msu	521	37	the	the	DET
cord-005350-19za0msu	521	38	proportion	proportion	NOUN
cord-005350-19za0msu	521	39	i	i	PRON
cord-005350-19za0msu	521	40	(	(	PUNCT
cord-005350-19za0msu	521	41	t)/n	t)/n	VERB
cord-005350-19za0msu	521	42	in	in	ADP
cord-005350-19za0msu	521	43	the	the	DET
cord-005350-19za0msu	521	44	limit	limit	NOUN
cord-005350-19za0msu	521	45	n	n	NOUN
cord-005350-19za0msu	521	46	→	→	SYM
cord-005350-19za0msu	521	47	∞.	∞.	PROPN
cord-005350-19za0msu	521	48	the	the	DET
cord-005350-19za0msu	521	49	fokker	fokker	NOUN
cord-005350-19za0msu	521	50	-	-	PUNCT
cord-005350-19za0msu	521	51	planck	planck	NOUN
cord-005350-19za0msu	521	52	equation	equation	NOUN
cord-005350-19za0msu	521	53	describes	describe	VERB
cord-005350-19za0msu	521	54	the	the	DET
cord-005350-19za0msu	521	55	evolution	evolution	NOUN
cord-005350-19za0msu	521	56	of	of	ADP
cord-005350-19za0msu	521	57	the	the	DET
cord-005350-19za0msu	521	58	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	521	59	,	,	PUNCT
cord-005350-19za0msu	521	60	i.e.	i.e.	X
cord-005350-19za0msu	521	61	,	,	PUNCT
cord-005350-19za0msu	521	62	the	the	DET
cord-005350-19za0msu	521	63	standard	standard	ADJ
cord-005350-19za0msu	521	64	deviation	deviation	NOUN
cord-005350-19za0msu	521	65	of	of	ADP
cord-005350-19za0msu	521	66	the	the	DET
cord-005350-19za0msu	521	67	probability	probability	NOUN
cord-005350-19za0msu	521	68	distribution	distribution	NOUN
cord-005350-19za0msu	521	69	about	about	ADP
cord-005350-19za0msu	521	70	nϕ(t	nϕ(t	NOUN
cord-005350-19za0msu	521	71	)	)	PUNCT
cord-005350-19za0msu	521	72	.	.	PUNCT
cord-005350-19za0msu	522	1	since	since	SCONJ
cord-005350-19za0msu	522	2	the	the	DET
cord-005350-19za0msu	522	3	fokker	fokker	NOUN
cord-005350-19za0msu	522	4	-	-	PUNCT
cord-005350-19za0msu	522	5	planck	planck	NOUN
cord-005350-19za0msu	522	6	equation	equation	NOUN
cord-005350-19za0msu	522	7	is	be	AUX
cord-005350-19za0msu	522	8	linear	linear	ADJ
cord-005350-19za0msu	522	9	,	,	PUNCT
cord-005350-19za0msu	522	10	the	the	DET
cord-005350-19za0msu	522	11	solution	solution	NOUN
cord-005350-19za0msu	522	12	for	for	ADP
cord-005350-19za0msu	522	13	the	the	DET
cord-005350-19za0msu	522	14	probability	probability	NOUN
cord-005350-19za0msu	522	15	distribution	distribution	NOUN
cord-005350-19za0msu	522	16	of	of	ADP
cord-005350-19za0msu	522	17	the	the	DET
cord-005350-19za0msu	522	18	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	522	19	(	(	PUNCT
cord-005350-19za0msu	522	20	ζ	ζ	NOUN
cord-005350-19za0msu	522	21	,	,	PUNCT
cord-005350-19za0msu	522	22	t	t	NOUN
cord-005350-19za0msu	522	23	)	)	PUNCT
cord-005350-19za0msu	522	24	in	in	ADP
cord-005350-19za0msu	522	25	the	the	DET
cord-005350-19za0msu	522	26	deterministic	deterministic	ADJ
cord-005350-19za0msu	522	27	state	state	NOUN
cord-005350-19za0msu	522	28	is	be	AUX
cord-005350-19za0msu	522	29	a	a	DET
cord-005350-19za0msu	522	30	normal	normal	ADJ
cord-005350-19za0msu	522	31	distribution	distribution	NOUN
cord-005350-19za0msu	522	32	.	.	PUNCT
cord-005350-19za0msu	523	1	we	we	PRON
cord-005350-19za0msu	523	2	note	note	VERB
cord-005350-19za0msu	523	3	that	that	SCONJ
cord-005350-19za0msu	523	4	this	this	PRON
cord-005350-19za0msu	523	5	is	be	AUX
cord-005350-19za0msu	523	6	a	a	DET
cord-005350-19za0msu	523	7	result	result	NOUN
cord-005350-19za0msu	523	8	of	of	ADP
cord-005350-19za0msu	523	9	our	our	PRON
cord-005350-19za0msu	523	10	second	second	ADJ
cord-005350-19za0msu	523	11	-	-	PUNCT
cord-005350-19za0msu	523	12	order	order	NOUN
cord-005350-19za0msu	523	13	truncation	truncation	NOUN
cord-005350-19za0msu	523	14	,	,	PUNCT
cord-005350-19za0msu	523	15	not	not	PART
cord-005350-19za0msu	523	16	a	a	DET
cord-005350-19za0msu	523	17	derivative	derivative	ADJ
cord-005350-19za0msu	523	18	property	property	NOUN
cord-005350-19za0msu	523	19	of	of	ADP
cord-005350-19za0msu	523	20	the	the	DET
cord-005350-19za0msu	523	21	original	original	ADJ
cord-005350-19za0msu	523	22	model	model	NOUN
cord-005350-19za0msu	523	23	,	,	PUNCT
cord-005350-19za0msu	523	24	per	per	X
cord-005350-19za0msu	523	25	se	se	X
cord-005350-19za0msu	523	26	.	.	PUNCT
cord-005350-19za0msu	524	1	our	our	PRON
cord-005350-19za0msu	524	2	aim	aim	NOUN
cord-005350-19za0msu	524	3	is	be	AUX
cord-005350-19za0msu	524	4	to	to	PART
cord-005350-19za0msu	524	5	quantify	quantify	VERB
cord-005350-19za0msu	524	6	the	the	DET
cord-005350-19za0msu	524	7	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	524	8	in	in	ADP
cord-005350-19za0msu	524	9	the	the	DET
cord-005350-19za0msu	524	10	quasistationary	quasistationary	ADJ
cord-005350-19za0msu	524	11	state	state	NOUN
cord-005350-19za0msu	524	12	given	give	VERB
cord-005350-19za0msu	524	13	by	by	ADP
cord-005350-19za0msu	524	14	the	the	DET
cord-005350-19za0msu	524	15	solution	solution	NOUN
cord-005350-19za0msu	524	16	of	of	ADP
cord-005350-19za0msu	524	17	the	the	DET
cord-005350-19za0msu	524	18	sis	sis	NOUN
cord-005350-19za0msu	524	19	fast	fast	ADV
cord-005350-19za0msu	524	20	-	-	PUNCT
cord-005350-19za0msu	524	21	slow	slow	ADJ
cord-005350-19za0msu	524	22	system	system	NOUN
cord-005350-19za0msu	524	23	at	at	ADP
cord-005350-19za0msu	524	24	time	time	NOUN
cord-005350-19za0msu	524	25	t.	t.	PROPN
cord-005350-19za0msu	524	26	we	we	PRON
cord-005350-19za0msu	524	27	can	can	AUX
cord-005350-19za0msu	524	28	do	do	VERB
cord-005350-19za0msu	524	29	this	this	PRON
cord-005350-19za0msu	524	30	by	by	ADP
cord-005350-19za0msu	524	31	using	use	VERB
cord-005350-19za0msu	524	32	the	the	DET
cord-005350-19za0msu	524	33	fact	fact	NOUN
cord-005350-19za0msu	524	34	that	that	SCONJ
cord-005350-19za0msu	524	35	eq	eq	X
cord-005350-19za0msu	524	36	.	.	PUNCT
cord-005350-19za0msu	524	37	(	(	PUNCT
cord-005350-19za0msu	524	38	12	12	NUM
cord-005350-19za0msu	524	39	)	)	PUNCT
cord-005350-19za0msu	524	40	is	be	AUX
cord-005350-19za0msu	524	41	equivalent	equivalent	ADJ
cord-005350-19za0msu	524	42	to	to	ADP
cord-005350-19za0msu	524	43	the	the	DET
cord-005350-19za0msu	524	44	following	follow	VERB
cord-005350-19za0msu	524	45	stochastic	stochastic	ADJ
cord-005350-19za0msu	524	46	differential	differential	ADJ
cord-005350-19za0msu	524	47	equation	equation	NOUN
cord-005350-19za0msu	524	48	:	:	PUNCT
cord-005350-19za0msu	524	49	(	(	PUNCT
cord-005350-19za0msu	524	50	13	13	NUM
cord-005350-19za0msu	524	51	)	)	PUNCT
cord-005350-19za0msu	524	52	where	where	SCONJ
cord-005350-19za0msu	524	53	dw	dw	PROPN
cord-005350-19za0msu	524	54	is	be	AUX
cord-005350-19za0msu	524	55	a	a	DET
cord-005350-19za0msu	524	56	wiener	wiener	NOUN
cord-005350-19za0msu	524	57	process	process	NOUN
cord-005350-19za0msu	524	58	with	with	ADP
cord-005350-19za0msu	524	59	mean	mean	ADJ
cord-005350-19za0msu	524	60	zero	zero	NUM
cord-005350-19za0msu	524	61	and	and	CCONJ
cord-005350-19za0msu	524	62	variance	variance	NOUN
cord-005350-19za0msu	524	63	dt	dt	PROPN
cord-005350-19za0msu	524	64	(	(	PUNCT
cord-005350-19za0msu	524	65	gardiner	gardiner	NOUN
cord-005350-19za0msu	524	66	2004	2004	NUM
cord-005350-19za0msu	524	67	)	)	PUNCT
cord-005350-19za0msu	524	68	.	.	PUNCT
cord-005350-19za0msu	525	1	analytical	analytical	ADJ
cord-005350-19za0msu	525	2	analysis	analysis	NOUN
cord-005350-19za0msu	525	3	of	of	ADP
cord-005350-19za0msu	525	4	eq	eq	PROPN
cord-005350-19za0msu	525	5	.	.	PUNCT
cord-005350-19za0msu	526	1	(	(	PUNCT
cord-005350-19za0msu	526	2	13	13	NUM
cord-005350-19za0msu	526	3	)	)	PUNCT
cord-005350-19za0msu	526	4	enables	enable	VERB
cord-005350-19za0msu	526	5	us	we	PRON
cord-005350-19za0msu	526	6	to	to	PART
cord-005350-19za0msu	526	7	establish	establish	VERB
cord-005350-19za0msu	526	8	the	the	DET
cord-005350-19za0msu	526	9	quasi	quasi	ADJ
cord-005350-19za0msu	526	10	-	-	ADJ
cord-005350-19za0msu	526	11	stationary	stationary	ADJ
cord-005350-19za0msu	526	12	statistics	statistic	NOUN
cord-005350-19za0msu	526	13	that	that	PRON
cord-005350-19za0msu	526	14	potentially	potentially	ADV
cord-005350-19za0msu	526	15	could	could	AUX
cord-005350-19za0msu	526	16	be	be	AUX
cord-005350-19za0msu	526	17	used	use	VERB
cord-005350-19za0msu	526	18	as	as	ADP
cord-005350-19za0msu	526	19	leading	leading	ADJ
cord-005350-19za0msu	526	20	indicators	indicator	NOUN
cord-005350-19za0msu	526	21	of	of	ADP
cord-005350-19za0msu	526	22	a	a	DET
cord-005350-19za0msu	526	23	critical	critical	ADJ
cord-005350-19za0msu	526	24	transition	transition	NOUN
cord-005350-19za0msu	526	25	in	in	ADP
cord-005350-19za0msu	526	26	sis	sis	PROPN
cord-005350-19za0msu	526	27	infectious	infectious	ADJ
cord-005350-19za0msu	526	28	disease	disease	NOUN
cord-005350-19za0msu	526	29	systems	system	NOUN
cord-005350-19za0msu	526	30	.	.	PUNCT
cord-005350-19za0msu	527	1	as	as	ADP
cord-005350-19za0msu	527	2	a	a	DET
cord-005350-19za0msu	527	3	special	special	ADJ
cord-005350-19za0msu	527	4	case	case	NOUN
cord-005350-19za0msu	527	5	,	,	PUNCT
cord-005350-19za0msu	527	6	we	we	PRON
cord-005350-19za0msu	527	7	consider	consider	VERB
cord-005350-19za0msu	527	8	the	the	DET
cord-005350-19za0msu	527	9	limit	limit	NOUN
cord-005350-19za0msu	527	10	→	→	SYM
cord-005350-19za0msu	527	11	0	0	NUM
cord-005350-19za0msu	527	12	,	,	PUNCT
cord-005350-19za0msu	527	13	whereby	whereby	SCONJ
cord-005350-19za0msu	527	14	the	the	DET
cord-005350-19za0msu	527	15	quasi	quasi	ADJ
cord-005350-19za0msu	527	16	-	-	ADJ
cord-005350-19za0msu	527	17	stationary	stationary	ADJ
cord-005350-19za0msu	527	18	state	state	NOUN
cord-005350-19za0msu	527	19	is	be	AUX
cord-005350-19za0msu	527	20	given	give	VERB
cord-005350-19za0msu	527	21	by	by	ADP
cord-005350-19za0msu	527	22	the	the	DET
cord-005350-19za0msu	527	23	deterministic	deterministic	ADJ
cord-005350-19za0msu	527	24	endemic	endemic	ADJ
cord-005350-19za0msu	527	25	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	527	26	of	of	ADP
cord-005350-19za0msu	527	27	eq	eq	PROPN
cord-005350-19za0msu	527	28	.	.	PUNCT
cord-005350-19za0msu	528	1	(	(	PUNCT
cord-005350-19za0msu	528	2	11	11	NUM
cord-005350-19za0msu	528	3	)	)	PUNCT
cord-005350-19za0msu	528	4	,	,	PUNCT
cord-005350-19za0msu	528	5	ϕ	ϕ	X
cord-005350-19za0msu	528	6	*	*	PUNCT
cord-005350-19za0msu	528	7	(	(	PUNCT
cord-005350-19za0msu	528	8	defined	define	VERB
cord-005350-19za0msu	528	9	in	in	ADP
cord-005350-19za0msu	528	10	table	table	NOUN
cord-005350-19za0msu	528	11	8	8	NUM
cord-005350-19za0msu	528	12	)	)	PUNCT
cord-005350-19za0msu	528	13	.	.	PUNCT
cord-005350-19za0msu	529	1	since	since	SCONJ
cord-005350-19za0msu	529	2	eq	eq	PROPN
cord-005350-19za0msu	529	3	.	.	PUNCT
cord-005350-19za0msu	530	1	(	(	PUNCT
cord-005350-19za0msu	530	2	11	11	NUM
cord-005350-19za0msu	530	3	)	)	PUNCT
cord-005350-19za0msu	530	4	dictates	dictate	VERB
cord-005350-19za0msu	530	5	the	the	DET
cord-005350-19za0msu	530	6	evolution	evolution	NOUN
cord-005350-19za0msu	530	7	of	of	ADP
cord-005350-19za0msu	530	8	the	the	DET
cord-005350-19za0msu	530	9	deterministic	deterministic	ADJ
cord-005350-19za0msu	530	10	state	state	NOUN
cord-005350-19za0msu	530	11	and	and	CCONJ
cord-005350-19za0msu	530	12	eq	eq	PROPN
cord-005350-19za0msu	530	13	.	.	PUNCT
cord-005350-19za0msu	531	1	(	(	PUNCT
cord-005350-19za0msu	531	2	12	12	NUM
cord-005350-19za0msu	531	3	)	)	PUNCT
cord-005350-19za0msu	531	4	determines	determine	VERB
cord-005350-19za0msu	531	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	531	6	in	in	ADP
cord-005350-19za0msu	531	7	it	it	PRON
cord-005350-19za0msu	531	8	,	,	PUNCT
cord-005350-19za0msu	531	9	we	we	PRON
cord-005350-19za0msu	531	10	may	may	AUX
cord-005350-19za0msu	531	11	let	let	VERB
cord-005350-19za0msu	531	12	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	531	13	)	)	PUNCT
cord-005350-19za0msu	532	1	=	=	NOUN
cord-005350-19za0msu	532	2	ϕ	ϕ	NOUN
cord-005350-19za0msu	532	3	*	*	PUNCT
cord-005350-19za0msu	532	4	in	in	ADP
cord-005350-19za0msu	532	5	eq	eq	PROPN
cord-005350-19za0msu	532	6	.	.	PUNCT
cord-005350-19za0msu	533	1	(	(	PUNCT
cord-005350-19za0msu	533	2	12	12	NUM
cord-005350-19za0msu	533	3	)	)	PUNCT
cord-005350-19za0msu	533	4	,	,	PUNCT
cord-005350-19za0msu	533	5	and	and	CCONJ
cord-005350-19za0msu	533	6	therefore	therefore	ADV
cord-005350-19za0msu	533	7	,	,	PUNCT
cord-005350-19za0msu	533	8	eq	eq	PROPN
cord-005350-19za0msu	533	9	.	.	PUNCT
cord-005350-19za0msu	533	10	(	(	PUNCT
cord-005350-19za0msu	533	11	13	13	NUM
cord-005350-19za0msu	533	12	)	)	PUNCT
cord-005350-19za0msu	533	13	becomes	become	VERB
cord-005350-19za0msu	533	14	analysis	analysis	NOUN
cord-005350-19za0msu	533	15	of	of	ADP
cord-005350-19za0msu	533	16	eq	eq	PROPN
cord-005350-19za0msu	533	17	.	.	PUNCT
cord-005350-19za0msu	534	1	(	(	PUNCT
cord-005350-19za0msu	534	2	13	13	NUM
cord-005350-19za0msu	534	3	)	)	PUNCT
cord-005350-19za0msu	534	4	leads	lead	VERB
cord-005350-19za0msu	534	5	to	to	ADP
cord-005350-19za0msu	534	6	expressions	expression	NOUN
cord-005350-19za0msu	534	7	for	for	ADP
cord-005350-19za0msu	534	8	the	the	DET
cord-005350-19za0msu	534	9	fluctuation	fluctuation	NOUN
cord-005350-19za0msu	534	10	statistics	statistic	NOUN
cord-005350-19za0msu	534	11	,	,	PUNCT
cord-005350-19za0msu	534	12	whereby	whereby	SCONJ
cord-005350-19za0msu	534	13	the	the	DET
cord-005350-19za0msu	534	14	influence	influence	NOUN
cord-005350-19za0msu	534	15	of	of	ADP
cord-005350-19za0msu	534	16	the	the	DET
cord-005350-19za0msu	534	17	mean	mean	NOUN
cord-005350-19za0msu	534	18	has	have	AUX
cord-005350-19za0msu	534	19	table	table	NOUN
cord-005350-19za0msu	534	20	8	8	NUM
cord-005350-19za0msu	534	21	variable	variable	ADJ
cord-005350-19za0msu	534	22	substitutions	substitution	NOUN
cord-005350-19za0msu	534	23	for	for	ADP
cord-005350-19za0msu	534	24	the	the	DET
cord-005350-19za0msu	534	25	sis	sis	NOUN
cord-005350-19za0msu	534	26	model	model	NOUN
cord-005350-19za0msu	534	27	.	.	PUNCT
cord-005350-19za0msu	535	1	to	to	PART
cord-005350-19za0msu	535	2	calculate	calculate	VERB
cord-005350-19za0msu	535	3	the	the	DET
cord-005350-19za0msu	535	4	statistics	statistic	NOUN
cord-005350-19za0msu	535	5	of	of	ADP
cord-005350-19za0msu	535	6	the	the	DET
cord-005350-19za0msu	535	7	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	535	8	about	about	ADP
cord-005350-19za0msu	535	9	the	the	DET
cord-005350-19za0msu	535	10	deterministic	deterministic	ADJ
cord-005350-19za0msu	535	11	endemic	endemic	ADJ
cord-005350-19za0msu	535	12	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	535	13	ϕ	ϕ	NOUN
cord-005350-19za0msu	536	1	*	*	PUNCT
cord-005350-19za0msu	536	2	,	,	PUNCT
cord-005350-19za0msu	536	3	replace	replace	VERB
cord-005350-19za0msu	536	4	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	536	5	)	)	PUNCT
cord-005350-19za0msu	536	6	with	with	ADP
cord-005350-19za0msu	536	7	ϕ	ϕ	NUM
cord-005350-19za0msu	536	8	*	*	PUNCT
cord-005350-19za0msu	536	9	in	in	ADP
cord-005350-19za0msu	536	10	each	each	DET
cord-005350-19za0msu	536	11	variable	variable	ADJ
cord-005350-19za0msu	536	12	variable	variable	ADJ
cord-005350-19za0msu	536	13	expression	expression	NOUN
cord-005350-19za0msu	536	14	β	β	NOUN
cord-005350-19za0msu	536	15	β	β	NOUN
cord-005350-19za0msu	537	1	(	(	PUNCT
cord-005350-19za0msu	537	2	1	1	NUM
cord-005350-19za0msu	537	3	−	−	PROPN
cord-005350-19za0msu	537	4	(	(	PUNCT
cord-005350-19za0msu	537	5	p	p	NOUN
cord-005350-19za0msu	537	6	s	s	PROPN
cord-005350-19za0msu	537	7	+	+	X
cord-005350-19za0msu	537	8	p	p	NOUN
cord-005350-19za0msu	537	9	0	0	NUM
cord-005350-19za0msu	537	10	t	t	NOUN
cord-005350-19za0msu	537	11	)	)	PUNCT
cord-005350-19za0msu	537	12	)	)	PUNCT
cord-005350-19za0msu	538	1	ϕ	ϕ	X
cord-005350-19za0msu	538	2	*	*	PUNCT
cord-005350-19za0msu	539	1	(	(	PUNCT
cord-005350-19za0msu	539	2	β	β	NOUN
cord-005350-19za0msu	539	3	−	−	NOUN
cord-005350-19za0msu	539	4	γ	γ	NOUN
cord-005350-19za0msu	539	5	−	−	NOUN
cord-005350-19za0msu	539	6	η	η	NOUN
cord-005350-19za0msu	539	7	+	+	CCONJ
cord-005350-19za0msu	539	8	(	(	PUNCT
cord-005350-19za0msu	539	9	β	β	PROPN
cord-005350-19za0msu	539	10	−	−	PROPN
cord-005350-19za0msu	539	11	(	(	PUNCT
cord-005350-19za0msu	539	12	γ	γ	NOUN
cord-005350-19za0msu	539	13	+	+	CCONJ
cord-005350-19za0msu	539	14	η	η	NUM
cord-005350-19za0msu	539	15	)	)	PUNCT
cord-005350-19za0msu	539	16	2	2	NUM
cord-005350-19za0msu	539	17	+	+	SYM
cord-005350-19za0msu	539	18	4βη))/2β	4βη))/2β	NUM
cord-005350-19za0msu	540	1	λ	λ	PROPN
cord-005350-19za0msu	541	1	β	β	NOUN
cord-005350-19za0msu	542	1	−	−	PUNCT
cord-005350-19za0msu	542	2	2βϕ(t	2βϕ(t	NUM
cord-005350-19za0msu	542	3	)	)	PUNCT
cord-005350-19za0msu	543	1	−	−	PROPN
cord-005350-19za0msu	543	2	γ	γ	NOUN
cord-005350-19za0msu	543	3	−	−	NOUN
cord-005350-19za0msu	543	4	η	η	NOUN
cord-005350-19za0msu	543	5	q	q	NOUN
cord-005350-19za0msu	543	6	βϕ(t)(1	βϕ(t)(1	PUNCT
cord-005350-19za0msu	544	1	−	−	PROPN
cord-005350-19za0msu	544	2	ϕ(t	ϕ(t	NOUN
cord-005350-19za0msu	544	3	)	)	PUNCT
cord-005350-19za0msu	544	4	)	)	PUNCT
cord-005350-19za0msu	545	1	+	+	PUNCT
cord-005350-19za0msu	546	1	η(1	η(1	PRON
cord-005350-19za0msu	547	1	−	−	PROPN
cord-005350-19za0msu	547	2	ϕ(t	ϕ(t	NOUN
cord-005350-19za0msu	547	3	)	)	PUNCT
cord-005350-19za0msu	547	4	)	)	PUNCT
cord-005350-19za0msu	548	1	+	+	CCONJ
cord-005350-19za0msu	549	1	γ	γ	X
cord-005350-19za0msu	549	2	ϕ(t	ϕ(t	NOUN
cord-005350-19za0msu	549	3	)	)	PUNCT
cord-005350-19za0msu	549	4	note	note	VERB
cord-005350-19za0msu	549	5	that	that	SCONJ
cord-005350-19za0msu	549	6	β	β	NOUN
cord-005350-19za0msu	549	7	is	be	AUX
cord-005350-19za0msu	549	8	constant	constant	ADJ
cord-005350-19za0msu	549	9	in	in	ADP
cord-005350-19za0msu	549	10	a	a	DET
cord-005350-19za0msu	549	11	small	small	ADJ
cord-005350-19za0msu	549	12	time	time	NOUN
cord-005350-19za0msu	549	13	increment	increment	NOUN
cord-005350-19za0msu	549	14	and	and	CCONJ
cord-005350-19za0msu	549	15	is	be	AUX
cord-005350-19za0msu	549	16	evaluated	evaluate	VERB
cord-005350-19za0msu	549	17	at	at	ADP
cord-005350-19za0msu	549	18	the	the	DET
cord-005350-19za0msu	549	19	current	current	ADJ
cord-005350-19za0msu	549	20	time	time	NOUN
cord-005350-19za0msu	549	21	t	t	PROPN
cord-005350-19za0msu	549	22	already	already	ADV
cord-005350-19za0msu	549	23	been	be	AUX
cord-005350-19za0msu	549	24	removed	remove	VERB
cord-005350-19za0msu	549	25	.	.	PUNCT
cord-005350-19za0msu	550	1	to	to	PART
cord-005350-19za0msu	550	2	analyze	analyze	VERB
cord-005350-19za0msu	550	3	eq	eq	PROPN
cord-005350-19za0msu	550	4	.	.	PUNCT
cord-005350-19za0msu	551	1	(	(	PUNCT
cord-005350-19za0msu	551	2	13	13	NUM
cord-005350-19za0msu	551	3	)	)	PUNCT
cord-005350-19za0msu	551	4	,	,	PUNCT
cord-005350-19za0msu	551	5	it	it	PRON
cord-005350-19za0msu	551	6	is	be	AUX
cord-005350-19za0msu	551	7	easier	easy	ADJ
cord-005350-19za0msu	551	8	to	to	PART
cord-005350-19za0msu	551	9	rewrite	rewrite	VERB
cord-005350-19za0msu	551	10	it	it	PRON
cord-005350-19za0msu	551	11	as	as	SCONJ
cord-005350-19za0msu	551	12	follows	follow	VERB
cord-005350-19za0msu	551	13	:	:	PUNCT
cord-005350-19za0msu	551	14	where	where	SCONJ
cord-005350-19za0msu	551	15	λ	λ	PROPN
cord-005350-19za0msu	551	16	and	and	CCONJ
cord-005350-19za0msu	551	17	q	q	NOUN
cord-005350-19za0msu	551	18	are	be	AUX
cord-005350-19za0msu	551	19	defined	define	VERB
cord-005350-19za0msu	551	20	in	in	ADP
cord-005350-19za0msu	551	21	table	table	NOUN
cord-005350-19za0msu	551	22	8	8	NUM
cord-005350-19za0msu	551	23	in	in	ADP
cord-005350-19za0msu	551	24	the	the	DET
cord-005350-19za0msu	551	25	main	main	ADJ
cord-005350-19za0msu	551	26	text	text	NOUN
cord-005350-19za0msu	551	27	and	and	CCONJ
cord-005350-19za0msu	551	28	(	(	PUNCT
cord-005350-19za0msu	551	29	t	t	PROPN
cord-005350-19za0msu	551	30	)	)	PUNCT
cord-005350-19za0msu	551	31	denotes	denote	VERB
cord-005350-19za0msu	551	32	gaussian	gaussian	PROPN
cord-005350-19za0msu	551	33	white	white	PROPN
cord-005350-19za0msu	551	34	noise	noise	PROPN
cord-005350-19za0msu	551	35	.	.	PUNCT
cord-005350-19za0msu	552	1	fourier	fourier	NOUN
cord-005350-19za0msu	552	2	transformation	transformation	NOUN
cord-005350-19za0msu	552	3	of	of	ADP
cord-005350-19za0msu	552	4	eq	eq	PROPN
cord-005350-19za0msu	552	5	.	.	PUNCT
cord-005350-19za0msu	553	1	(	(	PUNCT
cord-005350-19za0msu	553	2	15	15	NUM
cord-005350-19za0msu	553	3	)	)	PUNCT
cord-005350-19za0msu	553	4	yields	yield	NOUN
cord-005350-19za0msu	553	5	iζ	iζ	PROPN
cord-005350-19za0msu	553	6	(	(	PUNCT
cord-005350-19za0msu	553	7	ω	ω	PROPN
cord-005350-19za0msu	553	8	)	)	PUNCT
cord-005350-19za0msu	553	9	=	=	SYM
cord-005350-19za0msu	553	10	λζ	λζ	X
cord-005350-19za0msu	553	11	(	(	PUNCT
cord-005350-19za0msu	553	12	ω	ω	PROPN
cord-005350-19za0msu	553	13	)	)	PUNCT
cord-005350-19za0msu	553	14	+	+	NUM
cord-005350-19za0msu	554	1	qγ	qγ	INTJ
cord-005350-19za0msu	554	2	(	(	PUNCT
cord-005350-19za0msu	554	3	ω	ω	PROPN
cord-005350-19za0msu	554	4	)	)	PUNCT
cord-005350-19za0msu	554	5	,	,	PUNCT
cord-005350-19za0msu	554	6	whereζ	whereζ	PROPN
cord-005350-19za0msu	554	7	(	(	PUNCT
cord-005350-19za0msu	554	8	ω	ω	PROPN
cord-005350-19za0msu	554	9	)	)	PUNCT
cord-005350-19za0msu	554	10	is	be	AUX
cord-005350-19za0msu	554	11	the	the	DET
cord-005350-19za0msu	554	12	fourier	fourier	NOUN
cord-005350-19za0msu	554	13	transform	transform	NOUN
cord-005350-19za0msu	554	14	of	of	ADP
cord-005350-19za0msu	554	15	ζ	ζ	NOUN
cord-005350-19za0msu	554	16	.	.	PUNCT
cord-005350-19za0msu	555	1	the	the	DET
cord-005350-19za0msu	555	2	definition	definition	NOUN
cord-005350-19za0msu	555	3	of	of	ADP
cord-005350-19za0msu	555	4	the	the	DET
cord-005350-19za0msu	555	5	fourier	fourier	NOUN
cord-005350-19za0msu	555	6	transform	transform	NOUN
cord-005350-19za0msu	555	7	of	of	ADP
cord-005350-19za0msu	555	8	a	a	DET
cord-005350-19za0msu	555	9	continuous	continuous	ADJ
cord-005350-19za0msu	555	10	function	function	NOUN
cord-005350-19za0msu	555	11	is	be	AUX
cord-005350-19za0msu	555	12	provided	provide	VERB
cord-005350-19za0msu	555	13	in	in	ADP
cord-005350-19za0msu	555	14	nisbet	nisbet	NOUN
cord-005350-19za0msu	555	15	and	and	CCONJ
cord-005350-19za0msu	555	16	gurney	gurney	NOUN
cord-005350-19za0msu	555	17	(	(	PUNCT
cord-005350-19za0msu	555	18	1982	1982	NUM
cord-005350-19za0msu	555	19	)	)	PUNCT
cord-005350-19za0msu	555	20	,	,	PUNCT
cord-005350-19za0msu	555	21	and	and	CCONJ
cord-005350-19za0msu	555	22	those	those	DET
cord-005350-19za0msu	555	23	authors	author	NOUN
cord-005350-19za0msu	555	24	extensively	extensively	ADV
cord-005350-19za0msu	555	25	discuss	discuss	VERB
cord-005350-19za0msu	555	26	the	the	DET
cord-005350-19za0msu	555	27	meaning	meaning	NOUN
cord-005350-19za0msu	555	28	of	of	ADP
cord-005350-19za0msu	555	29	the	the	DET
cord-005350-19za0msu	555	30	fourier	fourier	NOUN
cord-005350-19za0msu	555	31	transform	transform	NOUN
cord-005350-19za0msu	555	32	of	of	ADP
cord-005350-19za0msu	555	33	white	white	ADJ
cord-005350-19za0msu	555	34	noise	noise	NOUN
cord-005350-19za0msu	555	35	.	.	PUNCT
cord-005350-19za0msu	556	1	rearranging	rearrange	VERB
cord-005350-19za0msu	556	2	eq	eq	PROPN
cord-005350-19za0msu	556	3	.	.	PUNCT
cord-005350-19za0msu	557	1	(	(	PUNCT
cord-005350-19za0msu	557	2	15	15	NUM
cord-005350-19za0msu	557	3	)	)	PUNCT
cord-005350-19za0msu	557	4	,	,	PUNCT
cord-005350-19za0msu	557	5	we	we	PRON
cord-005350-19za0msu	557	6	obtaiñ	obtaiñ	VERB
cord-005350-19za0msu	557	7	the	the	DET
cord-005350-19za0msu	557	8	quasi	quasi	ADJ
cord-005350-19za0msu	557	9	-	-	ADJ
cord-005350-19za0msu	557	10	stationary	stationary	ADJ
cord-005350-19za0msu	557	11	power	power	NOUN
cord-005350-19za0msu	557	12	spectrum	spectrum	NOUN
cord-005350-19za0msu	557	13	of	of	ADP
cord-005350-19za0msu	557	14	the	the	DET
cord-005350-19za0msu	557	15	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	557	16	is	be	AUX
cord-005350-19za0msu	557	17	given	give	VERB
cord-005350-19za0msu	557	18	by	by	ADP
cord-005350-19za0msu	557	19	the	the	DET
cord-005350-19za0msu	557	20	long	long	ADJ
cord-005350-19za0msu	557	21	-	-	PUNCT
cord-005350-19za0msu	557	22	term	term	NOUN
cord-005350-19za0msu	557	23	average	average	NOUN
cord-005350-19za0msu	557	24	of	of	ADP
cord-005350-19za0msu	557	25	the	the	DET
cord-005350-19za0msu	557	26	square	square	NOUN
cord-005350-19za0msu	557	27	of	of	ADP
cord-005350-19za0msu	557	28	the	the	DET
cord-005350-19za0msu	557	29	magnitude	magnitude	NOUN
cord-005350-19za0msu	557	30	ofζ	ofζ	NOUN
cord-005350-19za0msu	557	31	(	(	PUNCT
cord-005350-19za0msu	557	32	ω	ω	PROPN
cord-005350-19za0msu	557	33	)	)	PUNCT
cord-005350-19za0msu	557	34	.	.	PUNCT
cord-005350-19za0msu	558	1	the	the	DET
cord-005350-19za0msu	558	2	power	power	NOUN
cord-005350-19za0msu	558	3	spectrum	spectrum	NOUN
cord-005350-19za0msu	558	4	is	be	AUX
cord-005350-19za0msu	558	5	(	(	PUNCT
cord-005350-19za0msu	558	6	nisbet	nisbet	NOUN
cord-005350-19za0msu	558	7	and	and	CCONJ
cord-005350-19za0msu	558	8	gurney	gurney	NOUN
cord-005350-19za0msu	558	9	1982	1982	NUM
cord-005350-19za0msu	558	10	)	)	PUNCT
cord-005350-19za0msu	559	1	s	s	VERB
cord-005350-19za0msu	560	1	i	i	PRON
cord-005350-19za0msu	560	2	(	(	PUNCT
cord-005350-19za0msu	560	3	ω	ω	PROPN
cord-005350-19za0msu	560	4	)	)	PUNCT
cord-005350-19za0msu	560	5	=	=	SYM
cord-005350-19za0msu	560	6	|ζ	|ζ	PROPN
cord-005350-19za0msu	560	7	(	(	PUNCT
cord-005350-19za0msu	560	8	ω	ω	PROPN
cord-005350-19za0msu	560	9	)	)	PUNCT
cord-005350-19za0msu	560	10	2	2	NUM
cord-005350-19za0msu	560	11	|	|	NOUN
cord-005350-19za0msu	560	12	=	=	SYM
cord-005350-19za0msu	560	13	q	q	NOUN
cord-005350-19za0msu	560	14	ω	ω	NOUN
cord-005350-19za0msu	560	15	2	2	NUM
cord-005350-19za0msu	560	16	+	+	SYM
cord-005350-19za0msu	560	17	λ	λ	NOUN
cord-005350-19za0msu	560	18	2	2	NUM
cord-005350-19za0msu	560	19	,	,	PUNCT
cord-005350-19za0msu	560	20	where	where	SCONJ
cord-005350-19za0msu	560	21	.	.	PUNCT
cord-005350-19za0msu	560	22	is	be	AUX
cord-005350-19za0msu	560	23	the	the	DET
cord-005350-19za0msu	560	24	expectation	expectation	NOUN
cord-005350-19za0msu	560	25	.	.	PUNCT
cord-005350-19za0msu	561	1	we	we	PRON
cord-005350-19za0msu	561	2	can	can	AUX
cord-005350-19za0msu	561	3	integrate	integrate	VERB
cord-005350-19za0msu	561	4	this	this	DET
cord-005350-19za0msu	561	5	expression	expression	NOUN
cord-005350-19za0msu	561	6	over	over	ADP
cord-005350-19za0msu	561	7	the	the	DET
cord-005350-19za0msu	561	8	frequency	frequency	NOUN
cord-005350-19za0msu	561	9	domain	domain	NOUN
cord-005350-19za0msu	561	10	to	to	PART
cord-005350-19za0msu	561	11	obtain	obtain	VERB
cord-005350-19za0msu	561	12	the	the	DET
cord-005350-19za0msu	561	13	quasi	quasi	ADJ
cord-005350-19za0msu	561	14	-	-	ADJ
cord-005350-19za0msu	561	15	stationary	stationary	ADJ
cord-005350-19za0msu	561	16	variance	variance	NOUN
cord-005350-19za0msu	561	17	,	,	PUNCT
cord-005350-19za0msu	561	18	the	the	DET
cord-005350-19za0msu	561	19	quasi	quasi	ADJ
cord-005350-19za0msu	561	20	-	-	ADJ
cord-005350-19za0msu	561	21	stationary	stationary	ADJ
cord-005350-19za0msu	561	22	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	561	23	is	be	AUX
cord-005350-19za0msu	561	24	given	give	VERB
cord-005350-19za0msu	561	25	by	by	ADP
cord-005350-19za0msu	561	26	the	the	DET
cord-005350-19za0msu	561	27	integral	integral	ADJ
cord-005350-19za0msu	561	28	1	1	NUM
cord-005350-19za0msu	561	29	π	π	NOUN
cord-005350-19za0msu	561	30	∞	∞	NUM
cord-005350-19za0msu	561	31	0	0	PUNCT
cord-005350-19za0msu	562	1	s	s	VERB
cord-005350-19za0msu	563	1	i	i	PRON
cord-005350-19za0msu	563	2	(	(	PUNCT
cord-005350-19za0msu	563	3	ω	ω	PROPN
cord-005350-19za0msu	563	4	)	)	PUNCT
cord-005350-19za0msu	563	5	cos(ωτ	cos(ωτ	PROPN
cord-005350-19za0msu	563	6	)	)	PUNCT
cord-005350-19za0msu	563	7	dω	dω	PROPN
cord-005350-19za0msu	563	8	=	=	X
cord-005350-19za0msu	563	9	exp(λτ	exp(λτ	NUM
cord-005350-19za0msu	563	10	)	)	PUNCT
cord-005350-19za0msu	563	11	.	.	PUNCT
cord-005350-19za0msu	564	1	finally	finally	ADV
cord-005350-19za0msu	564	2	,	,	PUNCT
cord-005350-19za0msu	564	3	we	we	PRON
cord-005350-19za0msu	564	4	can	can	AUX
cord-005350-19za0msu	564	5	use	use	VERB
cord-005350-19za0msu	564	6	eq	eq	PROPN
cord-005350-19za0msu	564	7	.	.	PUNCT
cord-005350-19za0msu	565	1	(	(	PUNCT
cord-005350-19za0msu	565	2	10	10	NUM
cord-005350-19za0msu	565	3	)	)	PUNCT
cord-005350-19za0msu	565	4	to	to	PART
cord-005350-19za0msu	565	5	obtain	obtain	VERB
cord-005350-19za0msu	565	6	an	an	DET
cord-005350-19za0msu	565	7	expression	expression	NOUN
cord-005350-19za0msu	565	8	for	for	ADP
cord-005350-19za0msu	565	9	the	the	DET
cord-005350-19za0msu	565	10	coefficient	coefficient	NOUN
cord-005350-19za0msu	565	11	of	of	ADP
cord-005350-19za0msu	565	12	variation	variation	NOUN
cord-005350-19za0msu	565	13	of	of	ADP
cord-005350-19za0msu	565	14	i	i	PRON
cord-005350-19za0msu	565	15	(	(	PUNCT
cord-005350-19za0msu	565	16	t	t	NOUN
cord-005350-19za0msu	565	17	)	)	PUNCT
cord-005350-19za0msu	565	18	.	.	PUNCT
cord-005350-19za0msu	566	1	since	since	SCONJ
cord-005350-19za0msu	566	2	ζ	ζ	PROPN
cord-005350-19za0msu	566	3	∼	∼	PROPN
cord-005350-19za0msu	566	4	normal(0	normal(0	PROPN
cord-005350-19za0msu	566	5	,	,	PUNCT
cord-005350-19za0msu	566	6	σ	σ	PROPN
cord-005350-19za0msu	566	7	2	2	NUM
cord-005350-19za0msu	566	8	)	)	PUNCT
cord-005350-19za0msu	566	9	,	,	PUNCT
cord-005350-19za0msu	566	10	where	where	SCONJ
cord-005350-19za0msu	566	11	the	the	DET
cord-005350-19za0msu	566	12	variance	variance	NOUN
cord-005350-19za0msu	566	13	σ	σ	PROPN
cord-005350-19za0msu	566	14	2	2	NUM
cord-005350-19za0msu	566	15	is	be	AUX
cord-005350-19za0msu	566	16	given	give	VERB
cord-005350-19za0msu	566	17	by	by	ADP
cord-005350-19za0msu	566	18	eq	eq	PROPN
cord-005350-19za0msu	566	19	.	.	PUNCT
cord-005350-19za0msu	567	1	(	(	PUNCT
cord-005350-19za0msu	567	2	19	19	NUM
cord-005350-19za0msu	567	3	)	)	PUNCT
cord-005350-19za0msu	567	4	,	,	PUNCT
cord-005350-19za0msu	567	5	then	then	ADV
cord-005350-19za0msu	567	6	i	i	PRON
cord-005350-19za0msu	567	7	(	(	PUNCT
cord-005350-19za0msu	567	8	t	t	NOUN
cord-005350-19za0msu	567	9	)	)	PUNCT
cord-005350-19za0msu	567	10	=	=	NOUN
cord-005350-19za0msu	567	11	nϕ(t	nϕ(t	NOUN
cord-005350-19za0msu	567	12	)	)	PUNCT
cord-005350-19za0msu	567	13	+	+	CCONJ
cord-005350-19za0msu	567	14	ζ	ζ	NOUN
cord-005350-19za0msu	567	15	n	n	NOUN
cord-005350-19za0msu	567	16	1	1	NUM
cord-005350-19za0msu	567	17	2	2	NUM
cord-005350-19za0msu	567	18	∼	∼	PROPN
cord-005350-19za0msu	567	19	normal(nϕ(t	normal(nϕ(t	ADV
cord-005350-19za0msu	567	20	)	)	PUNCT
cord-005350-19za0msu	567	21	,	,	PUNCT
cord-005350-19za0msu	567	22	nσ	nσ	PROPN
cord-005350-19za0msu	567	23	2	2	NUM
cord-005350-19za0msu	567	24	)	)	PUNCT
cord-005350-19za0msu	567	25	.	.	PUNCT
cord-005350-19za0msu	568	1	therefore	therefore	ADV
cord-005350-19za0msu	568	2	,	,	PUNCT
cord-005350-19za0msu	568	3	the	the	DET
cord-005350-19za0msu	568	4	theoretical	theoretical	ADJ
cord-005350-19za0msu	568	5	coefficient	coefficient	NOUN
cord-005350-19za0msu	568	6	of	of	ADP
cord-005350-19za0msu	568	7	variation	variation	NOUN
cord-005350-19za0msu	568	8	is	be	AUX
cord-005350-19za0msu	568	9	(	(	PUNCT
cord-005350-19za0msu	568	10	n	n	NOUN
cord-005350-19za0msu	568	11	−	−	SYM
cord-005350-19za0msu	568	12	1	1	NUM
cord-005350-19za0msu	568	13	2	2	NUM
cord-005350-19za0msu	568	14	σ	σ	NUM
cord-005350-19za0msu	568	15	)	)	PUNCT
cord-005350-19za0msu	568	16	/ϕ(t	/ϕ(t	PUNCT
cord-005350-19za0msu	568	17	)	)	PUNCT
cord-005350-19za0msu	568	18	.	.	PUNCT
cord-005350-19za0msu	569	1	to	to	PART
cord-005350-19za0msu	569	2	make	make	VERB
cord-005350-19za0msu	569	3	analytical	analytical	ADJ
cord-005350-19za0msu	569	4	progress	progress	NOUN
cord-005350-19za0msu	569	5	with	with	ADP
cord-005350-19za0msu	569	6	eq	eq	PROPN
cord-005350-19za0msu	569	7	.	.	PUNCT
cord-005350-19za0msu	570	1	(	(	PUNCT
cord-005350-19za0msu	570	2	8)	8)	NUM
cord-005350-19za0msu	570	3	in	in	ADP
cord-005350-19za0msu	570	4	the	the	DET
cord-005350-19za0msu	570	5	main	main	ADJ
cord-005350-19za0msu	570	6	text	text	NOUN
cord-005350-19za0msu	570	7	,	,	PUNCT
cord-005350-19za0msu	570	8	we	we	PRON
cord-005350-19za0msu	570	9	use	use	VERB
cord-005350-19za0msu	570	10	the	the	DET
cord-005350-19za0msu	570	11	van	van	PROPN
cord-005350-19za0msu	570	12	kampen	kampen	PROPN
cord-005350-19za0msu	570	13	system	system	NOUN
cord-005350-19za0msu	570	14	size	size	NOUN
cord-005350-19za0msu	570	15	expansion	expansion	NOUN
cord-005350-19za0msu	570	16	.	.	PUNCT
cord-005350-19za0msu	571	1	we	we	PRON
cord-005350-19za0msu	571	2	approximate	approximate	VERB
cord-005350-19za0msu	571	3	the	the	DET
cord-005350-19za0msu	571	4	number	number	NOUN
cord-005350-19za0msu	571	5	of	of	ADP
cord-005350-19za0msu	571	6	susceptibles	susceptible	NOUN
cord-005350-19za0msu	571	7	and	and	CCONJ
cord-005350-19za0msu	571	8	the	the	DET
cord-005350-19za0msu	571	9	number	number	NOUN
cord-005350-19za0msu	571	10	of	of	ADP
cord-005350-19za0msu	571	11	infectives	infective	NOUN
cord-005350-19za0msu	571	12	by	by	ADP
cord-005350-19za0msu	571	13	respectively	respectively	ADV
cord-005350-19za0msu	571	14	.	.	PUNCT
cord-005350-19za0msu	572	1	thus	thus	ADV
cord-005350-19za0msu	572	2	,	,	PUNCT
cord-005350-19za0msu	572	3	we	we	PRON
cord-005350-19za0msu	572	4	have	have	AUX
cord-005350-19za0msu	572	5	transformed	transform	VERB
cord-005350-19za0msu	572	6	the	the	DET
cord-005350-19za0msu	572	7	discrete	discrete	ADJ
cord-005350-19za0msu	572	8	variables	variable	NOUN
cord-005350-19za0msu	572	9	in	in	ADP
cord-005350-19za0msu	572	10	terms	term	NOUN
cord-005350-19za0msu	572	11	of	of	ADP
cord-005350-19za0msu	572	12	continuous	continuous	ADJ
cord-005350-19za0msu	572	13	stochastic	stochastic	ADJ
cord-005350-19za0msu	572	14	variables	variable	NOUN
cord-005350-19za0msu	572	15	σ	σ	PROPN
cord-005350-19za0msu	572	16	and	and	CCONJ
cord-005350-19za0msu	572	17	ζ	ζ	NOUN
cord-005350-19za0msu	572	18	,	,	PUNCT
cord-005350-19za0msu	572	19	and	and	CCONJ
cord-005350-19za0msu	572	20	,	,	PUNCT
cord-005350-19za0msu	572	21	as	as	ADP
cord-005350-19za0msu	572	22	in	in	ADP
cord-005350-19za0msu	572	23	appendix	appendix	PROPN
cord-005350-19za0msu	572	24	a	a	PRON
cord-005350-19za0msu	572	25	,	,	PUNCT
cord-005350-19za0msu	572	26	we	we	PRON
cord-005350-19za0msu	572	27	anticipate	anticipate	VERB
cord-005350-19za0msu	572	28	that	that	SCONJ
cord-005350-19za0msu	572	29	the	the	DET
cord-005350-19za0msu	572	30	probability	probability	NOUN
cord-005350-19za0msu	572	31	distribution	distribution	NOUN
cord-005350-19za0msu	572	32	will	will	AUX
cord-005350-19za0msu	572	33	depend	depend	VERB
cord-005350-19za0msu	572	34	on	on	ADP
cord-005350-19za0msu	572	35	the	the	DET
cord-005350-19za0msu	572	36	system	system	NOUN
cord-005350-19za0msu	572	37	size	size	NOUN
cord-005350-19za0msu	572	38	n.	n.	PROPN
cord-005350-19za0msu	572	39	the	the	DET
cord-005350-19za0msu	572	40	van	van	PROPN
cord-005350-19za0msu	572	41	kampen	kampen	PROPN
cord-005350-19za0msu	572	42	system	system	NOUN
cord-005350-19za0msu	572	43	size	size	NOUN
cord-005350-19za0msu	572	44	expansion	expansion	NOUN
cord-005350-19za0msu	572	45	has	have	AUX
cord-005350-19za0msu	572	46	been	be	AUX
cord-005350-19za0msu	572	47	applied	apply	VERB
cord-005350-19za0msu	572	48	to	to	ADP
cord-005350-19za0msu	572	49	sir	sir	PROPN
cord-005350-19za0msu	572	50	models	model	NOUN
cord-005350-19za0msu	572	51	previously	previously	ADV
cord-005350-19za0msu	572	52	(	(	PUNCT
cord-005350-19za0msu	572	53	alonso	alonso	PROPN
cord-005350-19za0msu	572	54	et	et	PROPN
cord-005350-19za0msu	572	55	al	al	PROPN
cord-005350-19za0msu	572	56	.	.	PROPN
cord-005350-19za0msu	572	57	2007	2007	NUM
cord-005350-19za0msu	572	58	)	)	PUNCT
cord-005350-19za0msu	572	59	,	,	PUNCT
cord-005350-19za0msu	572	60	and	and	CCONJ
cord-005350-19za0msu	572	61	so	so	ADV
cord-005350-19za0msu	572	62	,	,	PUNCT
cord-005350-19za0msu	572	63	we	we	PRON
cord-005350-19za0msu	572	64	do	do	AUX
cord-005350-19za0msu	572	65	not	not	PART
cord-005350-19za0msu	572	66	include	include	VERB
cord-005350-19za0msu	572	67	the	the	DET
cord-005350-19za0msu	572	68	full	full	ADJ
cord-005350-19za0msu	572	69	details	detail	NOUN
cord-005350-19za0msu	572	70	of	of	ADP
cord-005350-19za0msu	572	71	the	the	DET
cord-005350-19za0msu	572	72	expansion	expansion	NOUN
cord-005350-19za0msu	572	73	here	here	ADV
cord-005350-19za0msu	572	74	.	.	PUNCT
cord-005350-19za0msu	573	1	using	use	VERB
cord-005350-19za0msu	573	2	the	the	DET
cord-005350-19za0msu	573	3	approximations	approximation	NOUN
cord-005350-19za0msu	573	4	(	(	PUNCT
cord-005350-19za0msu	573	5	21	21	NUM
cord-005350-19za0msu	573	6	)	)	PUNCT
cord-005350-19za0msu	573	7	to	to	ADP
cord-005350-19za0msu	573	8	leading	lead	VERB
cord-005350-19za0msu	573	9	order	order	NOUN
cord-005350-19za0msu	573	10	,	,	PUNCT
cord-005350-19za0msu	573	11	the	the	DET
cord-005350-19za0msu	573	12	system	system	NOUN
cord-005350-19za0msu	573	13	size	size	NOUN
cord-005350-19za0msu	573	14	expansion	expansion	NOUN
cord-005350-19za0msu	573	15	gives	give	VERB
cord-005350-19za0msu	573	16	rise	rise	NOUN
cord-005350-19za0msu	573	17	to	to	ADP
cord-005350-19za0msu	573	18	the	the	DET
cord-005350-19za0msu	573	19	systeṁ	systeṁ	ADJ
cord-005350-19za0msu	573	20	which	which	PRON
cord-005350-19za0msu	573	21	is	be	AUX
cord-005350-19za0msu	573	22	simply	simply	ADV
cord-005350-19za0msu	573	23	the	the	DET
cord-005350-19za0msu	573	24	sir	sir	PROPN
cord-005350-19za0msu	573	25	system	system	NOUN
cord-005350-19za0msu	573	26	approaching	approach	VERB
cord-005350-19za0msu	573	27	a	a	DET
cord-005350-19za0msu	573	28	transition	transition	NOUN
cord-005350-19za0msu	573	29	(	(	PUNCT
cord-005350-19za0msu	573	30	7	7	NUM
cord-005350-19za0msu	573	31	)	)	PUNCT
cord-005350-19za0msu	573	32	.	.	PUNCT
cord-005350-19za0msu	574	1	at	at	ADP
cord-005350-19za0msu	574	2	next	next	ADJ
cord-005350-19za0msu	574	3	-	-	PUNCT
cord-005350-19za0msu	574	4	to	to	ADP
cord-005350-19za0msu	574	5	-	-	PUNCT
cord-005350-19za0msu	574	6	leading	lead	VERB
cord-005350-19za0msu	574	7	order	order	NOUN
cord-005350-19za0msu	574	8	,	,	PUNCT
cord-005350-19za0msu	574	9	the	the	DET
cord-005350-19za0msu	574	10	fokker	fokker	NOUN
cord-005350-19za0msu	574	11	-	-	PUNCT
cord-005350-19za0msu	574	12	planck	planck	NOUN
cord-005350-19za0msu	574	13	equation	equation	NOUN
cord-005350-19za0msu	574	14	for	for	ADP
cord-005350-19za0msu	574	15	the	the	DET
cord-005350-19za0msu	574	16	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	574	17	in	in	ADP
cord-005350-19za0msu	574	18	the	the	DET
cord-005350-19za0msu	574	19	solution	solution	NOUN
cord-005350-19za0msu	574	20	of	of	ADP
cord-005350-19za0msu	574	21	the	the	DET
cord-005350-19za0msu	574	22	system	system	NOUN
cord-005350-19za0msu	574	23	(	(	PUNCT
cord-005350-19za0msu	574	24	22	22	NUM
cord-005350-19za0msu	574	25	)	)	PUNCT
cord-005350-19za0msu	574	26	at	at	ADP
cord-005350-19za0msu	574	27	time	time	NOUN
cord-005350-19za0msu	574	28	t	t	PROPN
cord-005350-19za0msu	574	29	is	be	AUX
cord-005350-19za0msu	574	30	where	where	SCONJ
cord-005350-19za0msu	574	31	x	x	PROPN
cord-005350-19za0msu	574	32	=	=	PROPN
cord-005350-19za0msu	574	33	(	(	PUNCT
cord-005350-19za0msu	574	34	σ	σ	PROPN
cord-005350-19za0msu	574	35	(	(	PUNCT
cord-005350-19za0msu	574	36	t	t	NOUN
cord-005350-19za0msu	574	37	)	)	PUNCT
cord-005350-19za0msu	574	38	,	,	PUNCT
cord-005350-19za0msu	574	39	ζ	ζ	NOUN
cord-005350-19za0msu	574	40	(	(	PUNCT
cord-005350-19za0msu	574	41	t	t	NOUN
cord-005350-19za0msu	574	42	)	)	PUNCT
cord-005350-19za0msu	574	43	)	)	PUNCT
cord-005350-19za0msu	574	44	denotes	denote	VERB
cord-005350-19za0msu	574	45	the	the	DET
cord-005350-19za0msu	574	46	vector	vector	NOUN
cord-005350-19za0msu	574	47	of	of	ADP
cord-005350-19za0msu	574	48	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	574	49	from	from	ADP
cord-005350-19za0msu	574	50	the	the	DET
cord-005350-19za0msu	574	51	susceptible	susceptible	ADJ
cord-005350-19za0msu	574	52	and	and	CCONJ
cord-005350-19za0msu	574	53	infectious	infectious	ADJ
cord-005350-19za0msu	574	54	states	state	NOUN
cord-005350-19za0msu	574	55	,	,	PUNCT
cord-005350-19za0msu	574	56	respectively	respectively	ADV
cord-005350-19za0msu	574	57	.	.	PUNCT
cord-005350-19za0msu	575	1	the	the	DET
cord-005350-19za0msu	575	2	mean	mean	ADJ
cord-005350-19za0msu	575	3	vector	vector	NOUN
cord-005350-19za0msu	575	4	is	be	AUX
cord-005350-19za0msu	575	5	given	give	VERB
cord-005350-19za0msu	575	6	by	by	ADP
cord-005350-19za0msu	575	7	μ	μ	NOUN
cord-005350-19za0msu	575	8	i	i	NOUN
cord-005350-19za0msu	575	9	(	(	PUNCT
cord-005350-19za0msu	575	10	x	x	X
cord-005350-19za0msu	575	11	)	)	PUNCT
cord-005350-19za0msu	575	12	=	=	NOUN
cord-005350-19za0msu	575	13	a	a	PRON
cord-005350-19za0msu	575	14	i1	i1	NOUN
cord-005350-19za0msu	575	15	σ	σ	NOUN
cord-005350-19za0msu	576	1	(	(	PUNCT
cord-005350-19za0msu	576	2	t)+a	t)+a	NOUN
cord-005350-19za0msu	576	3	i2	i2	PROPN
cord-005350-19za0msu	576	4	ζ(t	ζ(t	NOUN
cord-005350-19za0msu	576	5	)	)	PUNCT
cord-005350-19za0msu	576	6	,	,	PUNCT
cord-005350-19za0msu	576	7	i	i	PRON
cord-005350-19za0msu	576	8	=	=	NOUN
cord-005350-19za0msu	576	9	1	1	NUM
cord-005350-19za0msu	576	10	,	,	PUNCT
cord-005350-19za0msu	576	11	2	2	NUM
cord-005350-19za0msu	576	12	.	.	PUNCT
cord-005350-19za0msu	577	1	the	the	DET
cord-005350-19za0msu	577	2	matrices	matrix	NOUN
cord-005350-19za0msu	577	3	a	a	PRON
cord-005350-19za0msu	577	4	and	and	CCONJ
cord-005350-19za0msu	577	5	d	d	NOUN
cord-005350-19za0msu	577	6	are	be	AUX
cord-005350-19za0msu	577	7	obtained	obtain	VERB
cord-005350-19za0msu	577	8	from	from	ADP
cord-005350-19za0msu	577	9	the	the	DET
cord-005350-19za0msu	577	10	system	system	NOUN
cord-005350-19za0msu	577	11	size	size	NOUN
cord-005350-19za0msu	577	12	expansion	expansion	NOUN
cord-005350-19za0msu	577	13	.	.	PUNCT
cord-005350-19za0msu	578	1	the	the	DET
cord-005350-19za0msu	578	2	coefficients	coefficient	NOUN
cord-005350-19za0msu	578	3	a	a	DET
cord-005350-19za0msu	578	4	ij	ij	NOUN
cord-005350-19za0msu	578	5	of	of	ADP
cord-005350-19za0msu	578	6	the	the	DET
cord-005350-19za0msu	578	7	mean	mean	ADJ
cord-005350-19za0msu	578	8	vector	vector	NOUN
cord-005350-19za0msu	578	9	are	be	AUX
cord-005350-19za0msu	578	10	the	the	DET
cord-005350-19za0msu	578	11	entries	entry	NOUN
cord-005350-19za0msu	578	12	of	of	ADP
cord-005350-19za0msu	578	13	the	the	DET
cord-005350-19za0msu	578	14	jacobian	jacobian	ADJ
cord-005350-19za0msu	578	15	matrix	matrix	NOUN
cord-005350-19za0msu	578	16	obtained	obtain	VERB
cord-005350-19za0msu	578	17	from	from	ADP
cord-005350-19za0msu	578	18	linear	linear	PROPN
cord-005350-19za0msu	578	19	stability	stability	NOUN
cord-005350-19za0msu	578	20	analysis	analysis	NOUN
cord-005350-19za0msu	578	21	.	.	PUNCT
cord-005350-19za0msu	579	1	the	the	DET
cord-005350-19za0msu	579	2	d	d	PROPN
cord-005350-19za0msu	579	3	ij	ij	PROPN
cord-005350-19za0msu	579	4	coefficients	coefficient	NOUN
cord-005350-19za0msu	579	5	are	be	AUX
cord-005350-19za0msu	579	6	the	the	DET
cord-005350-19za0msu	579	7	entries	entry	NOUN
cord-005350-19za0msu	579	8	of	of	ADP
cord-005350-19za0msu	579	9	the	the	DET
cord-005350-19za0msu	579	10	noisecovariance	noisecovariance	NOUN
cord-005350-19za0msu	579	11	matrix	matrix	NOUN
cord-005350-19za0msu	579	12	and	and	CCONJ
cord-005350-19za0msu	579	13	can	can	AUX
cord-005350-19za0msu	579	14	only	only	ADV
cord-005350-19za0msu	579	15	be	be	AUX
cord-005350-19za0msu	579	16	obtained	obtain	VERB
cord-005350-19za0msu	579	17	from	from	ADP
cord-005350-19za0msu	579	18	the	the	DET
cord-005350-19za0msu	579	19	system	system	NOUN
cord-005350-19za0msu	579	20	size	size	NOUN
cord-005350-19za0msu	579	21	expansion	expansion	NOUN
cord-005350-19za0msu	579	22	(	(	PUNCT
cord-005350-19za0msu	579	23	van	van	PROPN
cord-005350-19za0msu	579	24	kampen	kampen	PROPN
cord-005350-19za0msu	579	25	1981	1981	NUM
cord-005350-19za0msu	579	26	)	)	PUNCT
cord-005350-19za0msu	579	27	.	.	PUNCT
cord-005350-19za0msu	580	1	equation	equation	NOUN
cord-005350-19za0msu	580	2	(	(	PUNCT
cord-005350-19za0msu	580	3	22	22	NUM
cord-005350-19za0msu	580	4	)	)	PUNCT
cord-005350-19za0msu	580	5	describes	describe	VERB
cord-005350-19za0msu	580	6	the	the	DET
cord-005350-19za0msu	580	7	evolution	evolution	NOUN
cord-005350-19za0msu	580	8	of	of	ADP
cord-005350-19za0msu	580	9	the	the	DET
cord-005350-19za0msu	580	10	trend	trend	NOUN
cord-005350-19za0msu	580	11	,	,	PUNCT
cord-005350-19za0msu	580	12	and	and	CCONJ
cord-005350-19za0msu	580	13	the	the	DET
cord-005350-19za0msu	580	14	fokker	fokker	NOUN
cord-005350-19za0msu	580	15	-	-	PUNCT
cord-005350-19za0msu	580	16	planck	planck	NOUN
cord-005350-19za0msu	580	17	equation	equation	NOUN
cord-005350-19za0msu	580	18	models	model	VERB
cord-005350-19za0msu	580	19	the	the	DET
cord-005350-19za0msu	580	20	evolution	evolution	NOUN
cord-005350-19za0msu	580	21	of	of	ADP
cord-005350-19za0msu	580	22	the	the	DET
cord-005350-19za0msu	580	23	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	580	24	.	.	PUNCT
cord-005350-19za0msu	581	1	the	the	DET
cord-005350-19za0msu	581	2	solution	solution	NOUN
cord-005350-19za0msu	581	3	of	of	ADP
cord-005350-19za0msu	581	4	eq	eq	PROPN
cord-005350-19za0msu	581	5	.	.	PUNCT
cord-005350-19za0msu	582	1	(	(	PUNCT
cord-005350-19za0msu	582	2	23	23	NUM
cord-005350-19za0msu	582	3	)	)	PUNCT
cord-005350-19za0msu	582	4	is	be	AUX
cord-005350-19za0msu	582	5	a	a	DET
cord-005350-19za0msu	582	6	bivariate	bivariate	ADJ
cord-005350-19za0msu	582	7	normal	normal	ADJ
cord-005350-19za0msu	582	8	distribution	distribution	NOUN
cord-005350-19za0msu	582	9	since	since	SCONJ
cord-005350-19za0msu	582	10	the	the	DET
cord-005350-19za0msu	582	11	fokker	fokker	NOUN
cord-005350-19za0msu	582	12	-	-	PUNCT
cord-005350-19za0msu	582	13	planck	planck	NOUN
cord-005350-19za0msu	582	14	equation	equation	NOUN
cord-005350-19za0msu	582	15	is	be	AUX
cord-005350-19za0msu	582	16	linear	linear	ADJ
cord-005350-19za0msu	582	17	(	(	PUNCT
cord-005350-19za0msu	582	18	van	van	PROPN
cord-005350-19za0msu	582	19	kampen	kampen	PROPN
cord-005350-19za0msu	582	20	1981	1981	NUM
cord-005350-19za0msu	582	21	)	)	PUNCT
cord-005350-19za0msu	582	22	.	.	PUNCT
cord-005350-19za0msu	583	1	we	we	PRON
cord-005350-19za0msu	583	2	note	note	VERB
cord-005350-19za0msu	583	3	that	that	SCONJ
cord-005350-19za0msu	583	4	when	when	SCONJ
cord-005350-19za0msu	583	5	incidence	incidence	NOUN
cord-005350-19za0msu	583	6	of	of	ADP
cord-005350-19za0msu	583	7	a	a	DET
cord-005350-19za0msu	583	8	disease	disease	NOUN
cord-005350-19za0msu	583	9	is	be	AUX
cord-005350-19za0msu	583	10	low	low	ADJ
cord-005350-19za0msu	583	11	,	,	PUNCT
cord-005350-19za0msu	583	12	as	as	SCONJ
cord-005350-19za0msu	583	13	occurs	occur	VERB
cord-005350-19za0msu	583	14	when	when	SCONJ
cord-005350-19za0msu	583	15	the	the	DET
cord-005350-19za0msu	583	16	system	system	NOUN
cord-005350-19za0msu	583	17	is	be	AUX
cord-005350-19za0msu	583	18	subcritical	subcritical	ADJ
cord-005350-19za0msu	583	19	,	,	PUNCT
cord-005350-19za0msu	583	20	the	the	DET
cord-005350-19za0msu	583	21	assumption	assumption	NOUN
cord-005350-19za0msu	583	22	that	that	SCONJ
cord-005350-19za0msu	583	23	the	the	DET
cord-005350-19za0msu	583	24	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	583	25	are	be	AUX
cord-005350-19za0msu	583	26	normally	normally	ADV
cord-005350-19za0msu	583	27	distributed	distribute	VERB
cord-005350-19za0msu	583	28	about	about	ADP
cord-005350-19za0msu	583	29	the	the	DET
cord-005350-19za0msu	583	30	mean	mean	NOUN
cord-005350-19za0msu	583	31	is	be	AUX
cord-005350-19za0msu	583	32	likely	likely	ADJ
cord-005350-19za0msu	583	33	to	to	PART
cord-005350-19za0msu	583	34	not	not	PART
cord-005350-19za0msu	583	35	be	be	AUX
cord-005350-19za0msu	583	36	appropriate	appropriate	ADJ
cord-005350-19za0msu	583	37	because	because	SCONJ
cord-005350-19za0msu	583	38	the	the	DET
cord-005350-19za0msu	583	39	approximation	approximation	NOUN
cord-005350-19za0msu	583	40	(	(	PUNCT
cord-005350-19za0msu	583	41	21	21	NUM
cord-005350-19za0msu	583	42	)	)	PUNCT
cord-005350-19za0msu	583	43	can	can	AUX
cord-005350-19za0msu	583	44	not	not	PART
cord-005350-19za0msu	583	45	describe	describe	VERB
cord-005350-19za0msu	583	46	chance	chance	NOUN
cord-005350-19za0msu	583	47	extinctions	extinction	NOUN
cord-005350-19za0msu	583	48	,	,	PUNCT
cord-005350-19za0msu	583	49	which	which	PRON
cord-005350-19za0msu	583	50	can	can	AUX
cord-005350-19za0msu	583	51	occur	occur	VERB
cord-005350-19za0msu	583	52	if	if	SCONJ
cord-005350-19za0msu	583	53	i	i	PRON
cord-005350-19za0msu	583	54	is	be	AUX
cord-005350-19za0msu	583	55	small	small	ADJ
cord-005350-19za0msu	583	56	.	.	PUNCT
cord-005350-19za0msu	584	1	finally	finally	ADV
cord-005350-19za0msu	584	2	,	,	PUNCT
cord-005350-19za0msu	584	3	it	it	PRON
cord-005350-19za0msu	584	4	is	be	AUX
cord-005350-19za0msu	584	5	possible	possible	ADJ
cord-005350-19za0msu	584	6	to	to	PART
cord-005350-19za0msu	584	7	numerically	numerically	ADV
cord-005350-19za0msu	584	8	obtain	obtain	VERB
cord-005350-19za0msu	584	9	the	the	DET
cord-005350-19za0msu	584	10	variance	variance	NOUN
cord-005350-19za0msu	584	11	-	-	PUNCT
cord-005350-19za0msu	584	12	covariance	covariance	NOUN
cord-005350-19za0msu	584	13	matrix	matrix	NOUN
cord-005350-19za0msu	584	14	for	for	ADP
cord-005350-19za0msu	584	15	the	the	DET
cord-005350-19za0msu	584	16	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	584	17	in	in	ADP
cord-005350-19za0msu	584	18	s	s	PROPN
cord-005350-19za0msu	584	19	and	and	CCONJ
cord-005350-19za0msu	584	20	i	i	PRON
cord-005350-19za0msu	584	21	around	around	ADP
cord-005350-19za0msu	584	22	the	the	DET
cord-005350-19za0msu	584	23	values	value	NOUN
cord-005350-19za0msu	584	24	of	of	ADP
cord-005350-19za0msu	584	25	the	the	DET
cord-005350-19za0msu	584	26	solution	solution	NOUN
cord-005350-19za0msu	584	27	of	of	ADP
cord-005350-19za0msu	584	28	eq	eq	PROPN
cord-005350-19za0msu	584	29	.	.	PUNCT
cord-005350-19za0msu	585	1	(	(	PUNCT
cord-005350-19za0msu	585	2	22	22	NUM
cord-005350-19za0msu	585	3	)	)	PUNCT
cord-005350-19za0msu	585	4	,	,	PUNCT
cord-005350-19za0msu	585	5	but	but	CCONJ
cord-005350-19za0msu	585	6	,	,	PUNCT
cord-005350-19za0msu	585	7	in	in	ADP
cord-005350-19za0msu	585	8	this	this	DET
cord-005350-19za0msu	585	9	paper	paper	NOUN
cord-005350-19za0msu	585	10	,	,	PUNCT
cord-005350-19za0msu	585	11	we	we	PRON
cord-005350-19za0msu	585	12	are	be	AUX
cord-005350-19za0msu	585	13	interested	interested	ADJ
cord-005350-19za0msu	585	14	only	only	ADV
cord-005350-19za0msu	585	15	in	in	ADP
cord-005350-19za0msu	585	16	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	585	17	in	in	ADP
cord-005350-19za0msu	585	18	i	i	PRON
cord-005350-19za0msu	585	19	since	since	SCONJ
cord-005350-19za0msu	585	20	s	s	PROPN
cord-005350-19za0msu	585	21	is	be	AUX
cord-005350-19za0msu	585	22	unobservable	unobservable	ADJ
cord-005350-19za0msu	585	23	.	.	PUNCT
cord-005350-19za0msu	586	1	to	to	PART
cord-005350-19za0msu	586	2	quantify	quantify	VERB
cord-005350-19za0msu	586	3	the	the	DET
cord-005350-19za0msu	586	4	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	586	5	,	,	PUNCT
cord-005350-19za0msu	586	6	we	we	PRON
cord-005350-19za0msu	586	7	use	use	VERB
cord-005350-19za0msu	586	8	the	the	DET
cord-005350-19za0msu	586	9	fact	fact	NOUN
cord-005350-19za0msu	586	10	that	that	SCONJ
cord-005350-19za0msu	586	11	the	the	DET
cord-005350-19za0msu	586	12	following	follow	VERB
cord-005350-19za0msu	586	13	system	system	NOUN
cord-005350-19za0msu	586	14	of	of	ADP
cord-005350-19za0msu	586	15	stochastic	stochastic	ADJ
cord-005350-19za0msu	586	16	differential	differential	ADJ
cord-005350-19za0msu	586	17	equations	equation	NOUN
cord-005350-19za0msu	586	18	is	be	AUX
cord-005350-19za0msu	586	19	equivalent	equivalent	ADJ
cord-005350-19za0msu	586	20	to	to	ADP
cord-005350-19za0msu	586	21	eq	eq	PROPN
cord-005350-19za0msu	586	22	.	.	PUNCT
cord-005350-19za0msu	587	1	(	(	PUNCT
cord-005350-19za0msu	587	2	23	23	NUM
cord-005350-19za0msu	587	3	):	):	PUNCT
cord-005350-19za0msu	587	4	dσ	dσ	PROPN
cord-005350-19za0msu	587	5	dt	dt	PROPN
cord-005350-19za0msu	587	6	=	=	PROPN
cord-005350-19za0msu	587	7	a	a	DET
cord-005350-19za0msu	587	8	11	11	NUM
cord-005350-19za0msu	587	9	σ	σ	NUM
cord-005350-19za0msu	587	10	(	(	PUNCT
cord-005350-19za0msu	587	11	t	t	NOUN
cord-005350-19za0msu	587	12	)	)	PUNCT
cord-005350-19za0msu	587	13	+	+	CCONJ
cord-005350-19za0msu	587	14	a	a	DET
cord-005350-19za0msu	587	15	12	12	NUM
cord-005350-19za0msu	587	16	ζ(t	ζ(t	NOUN
cord-005350-19za0msu	587	17	)	)	PUNCT
cord-005350-19za0msu	587	18	+	+	NUM
cord-005350-19za0msu	587	19	1	1	NUM
cord-005350-19za0msu	587	20	(	(	PUNCT
cord-005350-19za0msu	587	21	t	t	NOUN
cord-005350-19za0msu	587	22	)	)	PUNCT
cord-005350-19za0msu	587	23	dζ	dζ	PROPN
cord-005350-19za0msu	587	24	dt	dt	PROPN
cord-005350-19za0msu	587	25	=	=	PROPN
cord-005350-19za0msu	587	26	a	a	DET
cord-005350-19za0msu	587	27	21	21	NUM
cord-005350-19za0msu	587	28	σ	σ	NOUN
cord-005350-19za0msu	587	29	(	(	PUNCT
cord-005350-19za0msu	587	30	t	t	NOUN
cord-005350-19za0msu	587	31	)	)	PUNCT
cord-005350-19za0msu	587	32	+	+	CCONJ
cord-005350-19za0msu	587	33	a	a	DET
cord-005350-19za0msu	587	34	22	22	NUM
cord-005350-19za0msu	587	35	ζ(t	ζ(t	NOUN
cord-005350-19za0msu	587	36	)	)	PUNCT
cord-005350-19za0msu	587	37	+	+	NUM
cord-005350-19za0msu	587	38	2	2	NUM
cord-005350-19za0msu	587	39	(	(	PUNCT
cord-005350-19za0msu	587	40	t	t	NOUN
cord-005350-19za0msu	587	41	)	)	PUNCT
cord-005350-19za0msu	587	42	,	,	PUNCT
cord-005350-19za0msu	587	43	where	where	SCONJ
cord-005350-19za0msu	587	44	1	1	NUM
cord-005350-19za0msu	587	45	(	(	PUNCT
cord-005350-19za0msu	587	46	t	t	NOUN
cord-005350-19za0msu	587	47	)	)	PUNCT
cord-005350-19za0msu	587	48	,	,	PUNCT
cord-005350-19za0msu	587	49	2	2	NUM
cord-005350-19za0msu	587	50	(	(	PUNCT
cord-005350-19za0msu	587	51	t	t	NOUN
cord-005350-19za0msu	587	52	)	)	PUNCT
cord-005350-19za0msu	587	53	are	be	AUX
cord-005350-19za0msu	587	54	white	white	ADJ
cord-005350-19za0msu	587	55	-	-	PUNCT
cord-005350-19za0msu	587	56	noise	noise	NOUN
cord-005350-19za0msu	587	57	processes	process	NOUN
cord-005350-19za0msu	587	58	with	with	ADP
cord-005350-19za0msu	587	59	covariance	covariance	NOUN
cord-005350-19za0msu	587	60	matrix	matrix	PROPN
cord-005350-19za0msu	587	61	d.	d.	PROPN
cord-005350-19za0msu	588	1	the	the	DET
cord-005350-19za0msu	588	2	entries	entry	NOUN
cord-005350-19za0msu	588	3	of	of	ADP
cord-005350-19za0msu	588	4	the	the	DET
cord-005350-19za0msu	588	5	matrices	matrix	NOUN
cord-005350-19za0msu	588	6	a	a	PRON
cord-005350-19za0msu	588	7	and	and	CCONJ
cord-005350-19za0msu	588	8	d	d	NOUN
cord-005350-19za0msu	588	9	are	be	AUX
cord-005350-19za0msu	588	10	included	include	VERB
cord-005350-19za0msu	588	11	in	in	ADP
cord-005350-19za0msu	588	12	table	table	NOUN
cord-005350-19za0msu	588	13	9	9	NUM
cord-005350-19za0msu	588	14	in	in	ADP
cord-005350-19za0msu	588	15	the	the	DET
cord-005350-19za0msu	588	16	main	main	ADJ
cord-005350-19za0msu	588	17	text	text	NOUN
cord-005350-19za0msu	588	18	.	.	PUNCT
cord-005350-19za0msu	589	1	if	if	SCONJ
cord-005350-19za0msu	589	2	the	the	DET
cord-005350-19za0msu	589	3	mean	mean	ADJ
cord-005350-19za0msu	589	4	field	field	NOUN
cord-005350-19za0msu	589	5	→	→	SYM
cord-005350-19za0msu	589	6	0	0	NUM
cord-005350-19za0msu	589	7	theory	theory	NOUN
cord-005350-19za0msu	589	8	applies	apply	VERB
cord-005350-19za0msu	589	9	,	,	PUNCT
cord-005350-19za0msu	589	10	the	the	DET
cord-005350-19za0msu	589	11	coefficients	coefficient	NOUN
cord-005350-19za0msu	589	12	a	a	DET
cord-005350-19za0msu	589	13	ij	ij	NOUN
cord-005350-19za0msu	589	14	are	be	AUX
cord-005350-19za0msu	589	15	approximately	approximately	ADV
cord-005350-19za0msu	589	16	the	the	DET
cord-005350-19za0msu	589	17	entries	entry	NOUN
cord-005350-19za0msu	589	18	in	in	ADP
cord-005350-19za0msu	589	19	the	the	DET
cord-005350-19za0msu	589	20	jacobian	jacobian	ADJ
cord-005350-19za0msu	589	21	matrix	matrix	NOUN
cord-005350-19za0msu	589	22	of	of	ADP
cord-005350-19za0msu	589	23	eq	eq	PROPN
cord-005350-19za0msu	589	24	.	.	PUNCT
cord-005350-19za0msu	590	1	(	(	PUNCT
cord-005350-19za0msu	590	2	6	6	NUM
cord-005350-19za0msu	590	3	)	)	PUNCT
cord-005350-19za0msu	590	4	evaluated	evaluate	VERB
cord-005350-19za0msu	590	5	at	at	ADP
cord-005350-19za0msu	590	6	the	the	DET
cord-005350-19za0msu	590	7	since	since	SCONJ
cord-005350-19za0msu	590	8	we	we	PRON
cord-005350-19za0msu	590	9	could	could	AUX
cord-005350-19za0msu	590	10	not	not	PART
cord-005350-19za0msu	590	11	obtain	obtain	VERB
cord-005350-19za0msu	590	12	an	an	DET
cord-005350-19za0msu	590	13	analytical	analytical	ADJ
cord-005350-19za0msu	590	14	expression	expression	NOUN
cord-005350-19za0msu	590	15	for	for	ADP
cord-005350-19za0msu	590	16	the	the	DET
cord-005350-19za0msu	590	17	solution	solution	NOUN
cord-005350-19za0msu	590	18	of	of	ADP
cord-005350-19za0msu	590	19	eq	eq	PROPN
cord-005350-19za0msu	590	20	.	.	PUNCT
cord-005350-19za0msu	591	1	(	(	PUNCT
cord-005350-19za0msu	591	2	29	29	NUM
cord-005350-19za0msu	591	3	)	)	PUNCT
cord-005350-19za0msu	591	4	,	,	PUNCT
cord-005350-19za0msu	591	5	we	we	PRON
cord-005350-19za0msu	591	6	had	have	VERB
cord-005350-19za0msu	591	7	to	to	PART
cord-005350-19za0msu	591	8	obtain	obtain	VERB
cord-005350-19za0msu	591	9	this	this	DET
cord-005350-19za0msu	591	10	integral	integral	ADJ
cord-005350-19za0msu	591	11	numerically	numerically	NOUN
cord-005350-19za0msu	591	12	.	.	PUNCT
cord-005350-19za0msu	592	1	finally	finally	ADV
cord-005350-19za0msu	592	2	,	,	PUNCT
cord-005350-19za0msu	592	3	an	an	DET
cord-005350-19za0msu	592	4	expression	expression	NOUN
cord-005350-19za0msu	592	5	for	for	ADP
cord-005350-19za0msu	592	6	the	the	DET
cord-005350-19za0msu	592	7	coefficient	coefficient	NOUN
cord-005350-19za0msu	592	8	of	of	ADP
cord-005350-19za0msu	592	9	variation	variation	NOUN
cord-005350-19za0msu	592	10	of	of	ADP
cord-005350-19za0msu	592	11	i	i	PRON
cord-005350-19za0msu	592	12	may	may	AUX
cord-005350-19za0msu	592	13	also	also	ADV
cord-005350-19za0msu	592	14	be	be	AUX
cord-005350-19za0msu	592	15	obtained	obtain	VERB
cord-005350-19za0msu	592	16	,	,	PUNCT
cord-005350-19za0msu	592	17	using	use	VERB
cord-005350-19za0msu	592	18	eq	eq	PROPN
cord-005350-19za0msu	592	19	.	.	PUNCT
cord-005350-19za0msu	593	1	(	(	PUNCT
cord-005350-19za0msu	593	2	21	21	NUM
cord-005350-19za0msu	593	3	)	)	PUNCT
cord-005350-19za0msu	593	4	.	.	PUNCT
cord-005350-19za0msu	594	1	since	since	SCONJ
cord-005350-19za0msu	594	2	ζ	ζ	PROPN
cord-005350-19za0msu	594	3	∼	∼	PROPN
cord-005350-19za0msu	594	4	normal(0	normal(0	PROPN
cord-005350-19za0msu	594	5	,	,	PUNCT
cord-005350-19za0msu	594	6	σ	σ	PROPN
cord-005350-19za0msu	594	7	2	2	NUM
cord-005350-19za0msu	594	8	)	)	PUNCT
cord-005350-19za0msu	594	9	,	,	PUNCT
cord-005350-19za0msu	594	10	where	where	SCONJ
cord-005350-19za0msu	594	11	the	the	DET
cord-005350-19za0msu	594	12	variance	variance	NOUN
cord-005350-19za0msu	594	13	σ	σ	PROPN
cord-005350-19za0msu	594	14	2	2	NUM
cord-005350-19za0msu	594	15	is	be	AUX
cord-005350-19za0msu	594	16	given	give	VERB
cord-005350-19za0msu	594	17	by	by	ADP
cord-005350-19za0msu	594	18	eq	eq	PROPN
cord-005350-19za0msu	594	19	.	.	PUNCT
cord-005350-19za0msu	595	1	(	(	PUNCT
cord-005350-19za0msu	595	2	28	28	NUM
cord-005350-19za0msu	595	3	)	)	PUNCT
cord-005350-19za0msu	595	4	,	,	PUNCT
cord-005350-19za0msu	595	5	then	then	ADV
cord-005350-19za0msu	595	6	i	i	PRON
cord-005350-19za0msu	595	7	(	(	PUNCT
cord-005350-19za0msu	595	8	t	t	NOUN
cord-005350-19za0msu	595	9	)	)	PUNCT
cord-005350-19za0msu	595	10	∼	∼	PROPN
cord-005350-19za0msu	595	11	normal(nϕ(t	normal(nϕ(t	ADV
cord-005350-19za0msu	595	12	)	)	PUNCT
cord-005350-19za0msu	595	13	,	,	PUNCT
cord-005350-19za0msu	595	14	nσ	nσ	PROPN
cord-005350-19za0msu	595	15	2	2	NUM
cord-005350-19za0msu	595	16	)	)	PUNCT
cord-005350-19za0msu	595	17	.	.	PUNCT
cord-005350-19za0msu	596	1	therefore	therefore	ADV
cord-005350-19za0msu	596	2	,	,	PUNCT
cord-005350-19za0msu	596	3	the	the	DET
cord-005350-19za0msu	596	4	theoretical	theoretical	ADJ
cord-005350-19za0msu	596	5	coefficient	coefficient	NOUN
cord-005350-19za0msu	596	6	of	of	ADP
cord-005350-19za0msu	596	7	variation	variation	NOUN
cord-005350-19za0msu	596	8	is	be	AUX
cord-005350-19za0msu	596	9	(	(	PUNCT
cord-005350-19za0msu	596	10	n	n	NOUN
cord-005350-19za0msu	596	11	−	−	SYM
cord-005350-19za0msu	596	12	1	1	NUM
cord-005350-19za0msu	596	13	2	2	NUM
cord-005350-19za0msu	596	14	σ	σ	NUM
cord-005350-19za0msu	596	15	)	)	PUNCT
cord-005350-19za0msu	596	16	/ϕ(t	/ϕ(t	PUNCT
cord-005350-19za0msu	596	17	)	)	PUNCT
cord-005350-19za0msu	596	18	.	.	PUNCT
cord-005350-19za0msu	597	1	an	an	DET
cord-005350-19za0msu	597	2	introduction	introduction	NOUN
cord-005350-19za0msu	597	3	to	to	ADP
cord-005350-19za0msu	597	4	stochastic	stochastic	NOUN
cord-005350-19za0msu	597	5	processes	process	NOUN
cord-005350-19za0msu	597	6	with	with	ADP
cord-005350-19za0msu	597	7	applications	application	NOUN
cord-005350-19za0msu	597	8	to	to	AUX
cord-005350-19za0msu	597	9	biology	biology	NOUN
cord-005350-19za0msu	597	10	stochastic	stochastic	ADJ
cord-005350-19za0msu	597	11	amplification	amplification	NOUN
cord-005350-19za0msu	597	12	in	in	ADP
cord-005350-19za0msu	597	13	epidemics	epidemic	NOUN
cord-005350-19za0msu	597	14	seasonality	seasonality	NOUN
cord-005350-19za0msu	597	15	and	and	CCONJ
cord-005350-19za0msu	597	16	the	the	DET
cord-005350-19za0msu	597	17	dynamics	dynamic	NOUN
cord-005350-19za0msu	597	18	of	of	ADP
cord-005350-19za0msu	597	19	infectious	infectious	ADJ
cord-005350-19za0msu	597	20	diseases	disease	NOUN
cord-005350-19za0msu	597	21	infectious	infectious	ADJ
cord-005350-19za0msu	597	22	diseases	disease	NOUN
cord-005350-19za0msu	597	23	of	of	ADP
cord-005350-19za0msu	597	24	humans	human	NOUN
cord-005350-19za0msu	597	25	:	:	PUNCT
cord-005350-19za0msu	597	26	dynamics	dynamic	NOUN
cord-005350-19za0msu	597	27	and	and	CCONJ
cord-005350-19za0msu	597	28	control	control	VERB
cord-005350-19za0msu	597	29	the	the	DET
cord-005350-19za0msu	597	30	elements	element	NOUN
cord-005350-19za0msu	597	31	of	of	ADP
cord-005350-19za0msu	597	32	stochastic	stochastic	NOUN
cord-005350-19za0msu	597	33	processes	process	NOUN
cord-005350-19za0msu	597	34	with	with	ADP
cord-005350-19za0msu	597	35	applications	application	NOUN
cord-005350-19za0msu	597	36	to	to	ADP
cord-005350-19za0msu	597	37	the	the	DET
cord-005350-19za0msu	597	38	natural	natural	ADJ
cord-005350-19za0msu	597	39	sciences	science	NOUN
cord-005350-19za0msu	597	40	quantifying	quantifying	NOUN
cord-005350-19za0msu	597	41	limits	limit	NOUN
cord-005350-19za0msu	597	42	to	to	ADP
cord-005350-19za0msu	597	43	detection	detection	NOUN
cord-005350-19za0msu	597	44	of	of	ADP
cord-005350-19za0msu	597	45	early	early	ADJ
cord-005350-19za0msu	597	46	warning	warning	NOUN
cord-005350-19za0msu	597	47	for	for	ADP
cord-005350-19za0msu	597	48	critical	critical	ADJ
cord-005350-19za0msu	597	49	transitions	transition	NOUN
cord-005350-19za0msu	597	50	interacting	interact	VERB
cord-005350-19za0msu	597	51	regime	regime	NOUN
cord-005350-19za0msu	597	52	shifts	shift	NOUN
cord-005350-19za0msu	597	53	in	in	ADP
cord-005350-19za0msu	597	54	ecosystems	ecosystem	NOUN
cord-005350-19za0msu	597	55	:	:	PUNCT
cord-005350-19za0msu	597	56	implication	implication	NOUN
cord-005350-19za0msu	597	57	for	for	ADP
cord-005350-19za0msu	597	58	early	early	ADJ
cord-005350-19za0msu	597	59	warnings	warning	NOUN
cord-005350-19za0msu	597	60	rising	rise	VERB
cord-005350-19za0msu	597	61	variance	variance	NOUN
cord-005350-19za0msu	597	62	:	:	PUNCT
cord-005350-19za0msu	597	63	a	a	DET
cord-005350-19za0msu	597	64	leading	lead	VERB
cord-005350-19za0msu	597	65	indicator	indicator	NOUN
cord-005350-19za0msu	597	66	of	of	ADP
cord-005350-19za0msu	597	67	ecological	ecological	ADJ
cord-005350-19za0msu	597	68	transition	transition	NOUN
cord-005350-19za0msu	597	69	early	early	ADJ
cord-005350-19za0msu	597	70	warnings	warning	NOUN
cord-005350-19za0msu	597	71	of	of	ADP
cord-005350-19za0msu	597	72	unknown	unknown	ADJ
cord-005350-19za0msu	597	73	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	597	74	shifts	shift	NOUN
cord-005350-19za0msu	597	75	:	:	PUNCT
cord-005350-19za0msu	597	76	a	a	DET
cord-005350-19za0msu	597	77	nonparametric	nonparametric	NOUN
cord-005350-19za0msu	597	78	approach	approach	NOUN
cord-005350-19za0msu	597	79	leading	lead	VERB
cord-005350-19za0msu	597	80	indicators	indicator	NOUN
cord-005350-19za0msu	597	81	of	of	ADP
cord-005350-19za0msu	597	82	trophic	trophic	ADJ
cord-005350-19za0msu	597	83	cascades	cascade	NOUN
cord-005350-19za0msu	597	84	malaria	malaria	NOUN
cord-005350-19za0msu	597	85	resurgence	resurgence	NOUN
cord-005350-19za0msu	597	86	:	:	PUNCT
cord-005350-19za0msu	597	87	a	a	DET
cord-005350-19za0msu	597	88	systematic	systematic	ADJ
cord-005350-19za0msu	597	89	review	review	NOUN
cord-005350-19za0msu	597	90	and	and	CCONJ
cord-005350-19za0msu	597	91	assessment	assessment	NOUN
cord-005350-19za0msu	597	92	of	of	ADP
cord-005350-19za0msu	597	93	its	its	PRON
cord-005350-19za0msu	597	94	causes	cause	NOUN
cord-005350-19za0msu	597	95	slowing	slow	VERB
cord-005350-19za0msu	597	96	down	down	ADP
cord-005350-19za0msu	597	97	as	as	ADP
cord-005350-19za0msu	597	98	an	an	DET
cord-005350-19za0msu	597	99	early	early	ADJ
cord-005350-19za0msu	597	100	warning	warning	NOUN
cord-005350-19za0msu	597	101	signal	signal	NOUN
cord-005350-19za0msu	597	102	for	for	ADP
cord-005350-19za0msu	597	103	abrupt	abrupt	ADJ
cord-005350-19za0msu	597	104	climate	climate	NOUN
cord-005350-19za0msu	597	105	change	change	VERB
cord-005350-19za0msu	597	106	spatial	spatial	ADJ
cord-005350-19za0msu	597	107	correlation	correlation	NOUN
cord-005350-19za0msu	597	108	as	as	ADP
cord-005350-19za0msu	597	109	leading	lead	VERB
cord-005350-19za0msu	597	110	indicator	indicator	NOUN
cord-005350-19za0msu	597	111	of	of	ADP
cord-005350-19za0msu	597	112	catastrophic	catastrophic	ADJ
cord-005350-19za0msu	597	113	shifts	shift	NOUN
cord-005350-19za0msu	597	114	robustness	robustness	NOUN
cord-005350-19za0msu	597	115	of	of	ADP
cord-005350-19za0msu	597	116	variance	variance	NOUN
cord-005350-19za0msu	597	117	and	and	CCONJ
cord-005350-19za0msu	597	118	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	597	119	as	as	ADP
cord-005350-19za0msu	597	120	indicators	indicator	NOUN
cord-005350-19za0msu	597	121	of	of	ADP
cord-005350-19za0msu	597	122	critical	critical	ADJ
cord-005350-19za0msu	597	123	slowing	slow	VERB
cord-005350-19za0msu	597	124	down	down	ADP
cord-005350-19za0msu	597	125	methods	method	NOUN
cord-005350-19za0msu	597	126	for	for	ADP
cord-005350-19za0msu	597	127	detecting	detect	VERB
cord-005350-19za0msu	597	128	early	early	ADJ
cord-005350-19za0msu	597	129	warnings	warning	NOUN
cord-005350-19za0msu	597	130	of	of	ADP
cord-005350-19za0msu	597	131	critical	critical	ADJ
cord-005350-19za0msu	597	132	transitions	transition	NOUN
cord-005350-19za0msu	597	133	in	in	ADP
cord-005350-19za0msu	597	134	time	time	NOUN
cord-005350-19za0msu	597	135	series	series	NOUN
cord-005350-19za0msu	597	136	illustrated	illustrate	VERB
cord-005350-19za0msu	597	137	using	use	VERB
cord-005350-19za0msu	597	138	simulated	simulated	ADJ
cord-005350-19za0msu	597	139	ecological	ecological	ADJ
cord-005350-19za0msu	597	140	data	datum	NOUN
cord-005350-19za0msu	597	141	epidemic	epidemic	NOUN
cord-005350-19za0msu	597	142	modelling	modelling	NOUN
cord-005350-19za0msu	597	143	:	:	PUNCT
cord-005350-19za0msu	597	144	an	an	DET
cord-005350-19za0msu	597	145	introduction	introduction	NOUN
cord-005350-19za0msu	597	146	the	the	DET
cord-005350-19za0msu	597	147	canard	canard	PROPN
cord-005350-19za0msu	597	148	unchained	unchained	ADJ
cord-005350-19za0msu	597	149	or	or	CCONJ
cord-005350-19za0msu	597	150	how	how	SCONJ
cord-005350-19za0msu	597	151	fast	fast	ADJ
cord-005350-19za0msu	597	152	/	/	SYM
cord-005350-19za0msu	597	153	slow	slow	ADJ
cord-005350-19za0msu	597	154	systems	system	NOUN
cord-005350-19za0msu	597	155	bifurcate	bifurcate	VERB
cord-005350-19za0msu	597	156	early	early	ADJ
cord-005350-19za0msu	597	157	warnings	warning	NOUN
cord-005350-19za0msu	597	158	of	of	ADP
cord-005350-19za0msu	597	159	catastrophic	catastrophic	ADJ
cord-005350-19za0msu	597	160	shifts	shift	NOUN
cord-005350-19za0msu	597	161	in	in	ADP
cord-005350-19za0msu	597	162	ecosystems	ecosystem	NOUN
cord-005350-19za0msu	597	163	:	:	PUNCT
cord-005350-19za0msu	597	164	comparison	comparison	NOUN
cord-005350-19za0msu	597	165	between	between	ADP
cord-005350-19za0msu	597	166	spatial	spatial	ADJ
cord-005350-19za0msu	597	167	and	and	CCONJ
cord-005350-19za0msu	597	168	temporal	temporal	ADJ
cord-005350-19za0msu	597	169	indicators	indicator	NOUN
cord-005350-19za0msu	597	170	measuring	measure	VERB
cord-005350-19za0msu	597	171	tuberculosis	tuberculosis	NOUN
cord-005350-19za0msu	597	172	burden	burden	NOUN
cord-005350-19za0msu	597	173	,	,	PUNCT
cord-005350-19za0msu	597	174	trends	trend	NOUN
cord-005350-19za0msu	597	175	,	,	PUNCT
cord-005350-19za0msu	597	176	and	and	CCONJ
cord-005350-19za0msu	597	177	the	the	DET
cord-005350-19za0msu	597	178	impact	impact	NOUN
cord-005350-19za0msu	597	179	of	of	ADP
cord-005350-19za0msu	597	180	control	control	NOUN
cord-005350-19za0msu	597	181	programmes	programme	NOUN
cord-005350-19za0msu	597	182	seasonal	seasonal	ADJ
cord-005350-19za0msu	597	183	infectious	infectious	ADJ
cord-005350-19za0msu	597	184	disease	disease	NOUN
cord-005350-19za0msu	597	185	epidemiology	epidemiology	NOUN
cord-005350-19za0msu	597	186	handbook	handbook	NOUN
cord-005350-19za0msu	597	187	of	of	ADP
cord-005350-19za0msu	597	188	stochastic	stochastic	ADJ
cord-005350-19za0msu	597	189	methods	method	NOUN
cord-005350-19za0msu	597	190	for	for	ADP
cord-005350-19za0msu	597	191	physics	physics	NOUN
cord-005350-19za0msu	597	192	,	,	PUNCT
cord-005350-19za0msu	597	193	chemistry	chemistry	NOUN
cord-005350-19za0msu	597	194	and	and	CCONJ
cord-005350-19za0msu	597	195	the	the	DET
cord-005350-19za0msu	597	196	natural	natural	ADJ
cord-005350-19za0msu	597	197	sciences	science	NOUN
cord-005350-19za0msu	597	198	exact	exact	ADJ
cord-005350-19za0msu	597	199	stochastic	stochastic	ADJ
cord-005350-19za0msu	597	200	simulation	simulation	NOUN
cord-005350-19za0msu	597	201	of	of	ADP
cord-005350-19za0msu	597	202	coupled	couple	VERB
cord-005350-19za0msu	597	203	chemical	chemical	NOUN
cord-005350-19za0msu	597	204	reactions	reaction	NOUN
cord-005350-19za0msu	597	205	changing	change	VERB
cord-005350-19za0msu	597	206	skewness	skewness	NOUN
cord-005350-19za0msu	597	207	:	:	PUNCT
cord-005350-19za0msu	597	208	an	an	DET
cord-005350-19za0msu	597	209	early	early	ADJ
cord-005350-19za0msu	597	210	warning	warning	NOUN
cord-005350-19za0msu	597	211	signal	signal	NOUN
cord-005350-19za0msu	597	212	of	of	ADP
cord-005350-19za0msu	597	213	regime	regime	NOUN
cord-005350-19za0msu	597	214	shifts	shift	NOUN
cord-005350-19za0msu	597	215	in	in	ADP
cord-005350-19za0msu	597	216	ecological	ecological	ADJ
cord-005350-19za0msu	597	217	systems	system	NOUN
cord-005350-19za0msu	597	218	spatial	spatial	ADJ
cord-005350-19za0msu	597	219	variance	variance	NOUN
cord-005350-19za0msu	597	220	and	and	CCONJ
cord-005350-19za0msu	597	221	spatial	spatial	ADJ
cord-005350-19za0msu	597	222	skewness	skewness	NOUN
cord-005350-19za0msu	597	223	:	:	PUNCT
cord-005350-19za0msu	597	224	leading	lead	VERB
cord-005350-19za0msu	597	225	indicators	indicator	NOUN
cord-005350-19za0msu	597	226	of	of	ADP
cord-005350-19za0msu	597	227	regime	regime	NOUN
cord-005350-19za0msu	597	228	shifts	shift	NOUN
cord-005350-19za0msu	597	229	in	in	ADP
cord-005350-19za0msu	597	230	spatial	spatial	ADJ
cord-005350-19za0msu	597	231	ecological	ecological	ADJ
cord-005350-19za0msu	597	232	systems	system	NOUN
cord-005350-19za0msu	597	233	regime	regime	NOUN
cord-005350-19za0msu	597	234	shifts	shift	NOUN
cord-005350-19za0msu	597	235	in	in	ADP
cord-005350-19za0msu	597	236	ecological	ecological	ADJ
cord-005350-19za0msu	597	237	systems	system	NOUN
cord-005350-19za0msu	597	238	can	can	AUX
cord-005350-19za0msu	597	239	occur	occur	VERB
cord-005350-19za0msu	597	240	with	with	ADP
cord-005350-19za0msu	597	241	no	no	DET
cord-005350-19za0msu	597	242	warning	warning	NOUN
cord-005350-19za0msu	597	243	perspectives	perspective	NOUN
cord-005350-19za0msu	597	244	on	on	ADP
cord-005350-19za0msu	597	245	the	the	DET
cord-005350-19za0msu	597	246	basic	basic	ADJ
cord-005350-19za0msu	597	247	reproductive	reproductive	ADJ
cord-005350-19za0msu	597	248	ratio	ratio	NOUN
cord-005350-19za0msu	597	249	detecting	detect	VERB
cord-005350-19za0msu	597	250	dynamical	dynamical	ADJ
cord-005350-19za0msu	597	251	changes	change	NOUN
cord-005350-19za0msu	597	252	in	in	ADP
cord-005350-19za0msu	597	253	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	597	254	time	time	NOUN
cord-005350-19za0msu	597	255	series	series	NOUN
cord-005350-19za0msu	597	256	using	use	VERB
cord-005350-19za0msu	597	257	locally	locally	ADV
cord-005350-19za0msu	597	258	linear	linear	ADJ
cord-005350-19za0msu	597	259	state	state	NOUN
cord-005350-19za0msu	597	260	-	-	PUNCT
cord-005350-19za0msu	597	261	space	space	NOUN
cord-005350-19za0msu	597	262	models	model	NOUN
cord-005350-19za0msu	597	263	estimating	estimate	VERB
cord-005350-19za0msu	597	264	spatial	spatial	ADJ
cord-005350-19za0msu	597	265	coupling	coupling	NOUN
cord-005350-19za0msu	597	266	in	in	ADP
cord-005350-19za0msu	597	267	epidemiological	epidemiological	ADJ
cord-005350-19za0msu	597	268	systems	system	NOUN
cord-005350-19za0msu	597	269	:	:	PUNCT
cord-005350-19za0msu	597	270	a	a	DET
cord-005350-19za0msu	597	271	mechanistic	mechanistic	ADJ
cord-005350-19za0msu	597	272	approach	approach	NOUN
cord-005350-19za0msu	597	273	modeling	model	VERB
cord-005350-19za0msu	597	274	infectious	infectious	ADJ
cord-005350-19za0msu	597	275	diseases	disease	NOUN
cord-005350-19za0msu	597	276	in	in	ADP
cord-005350-19za0msu	597	277	humans	human	NOUN
cord-005350-19za0msu	597	278	and	and	CCONJ
cord-005350-19za0msu	597	279	animals	animal	NOUN
cord-005350-19za0msu	597	280	a	a	DET
cord-005350-19za0msu	597	281	mathematical	mathematical	ADJ
cord-005350-19za0msu	597	282	framework	framework	NOUN
cord-005350-19za0msu	597	283	for	for	ADP
cord-005350-19za0msu	597	284	critical	critical	ADJ
cord-005350-19za0msu	597	285	transitions	transition	NOUN
cord-005350-19za0msu	597	286	:	:	PUNCT
cord-005350-19za0msu	597	287	bifurcations	bifurcation	NOUN
cord-005350-19za0msu	597	288	,	,	PUNCT
cord-005350-19za0msu	597	289	fastslow	fastslow	NOUN
cord-005350-19za0msu	597	290	systems	system	NOUN
cord-005350-19za0msu	597	291	and	and	CCONJ
cord-005350-19za0msu	597	292	stochastic	stochastic	ADJ
cord-005350-19za0msu	597	293	dynamics	dynamic	NOUN
cord-005350-19za0msu	597	294	early	early	ADJ
cord-005350-19za0msu	597	295	warning	warning	NOUN
cord-005350-19za0msu	597	296	of	of	ADP
cord-005350-19za0msu	597	297	climate	climate	NOUN
cord-005350-19za0msu	597	298	tipping	tipping	NOUN
cord-005350-19za0msu	597	299	points	point	NOUN
cord-005350-19za0msu	597	300	early	early	ADJ
cord-005350-19za0msu	597	301	warning	warning	NOUN
cord-005350-19za0msu	597	302	of	of	ADP
cord-005350-19za0msu	597	303	climate	climate	NOUN
cord-005350-19za0msu	597	304	tipping	tipping	NOUN
cord-005350-19za0msu	597	305	points	point	NOUN
cord-005350-19za0msu	597	306	from	from	ADP
cord-005350-19za0msu	597	307	critical	critical	ADJ
cord-005350-19za0msu	597	308	slowing	slowing	NOUN
cord-005350-19za0msu	597	309	down	down	ADP
cord-005350-19za0msu	597	310	:	:	PUNCT
cord-005350-19za0msu	597	311	comparing	compare	VERB
cord-005350-19za0msu	597	312	methods	method	NOUN
cord-005350-19za0msu	597	313	to	to	PART
cord-005350-19za0msu	597	314	improve	improve	VERB
cord-005350-19za0msu	597	315	robustness	robustness	ADJ
cord-005350-19za0msu	597	316	epidemic	epidemic	NOUN
cord-005350-19za0msu	597	317	dynamics	dynamic	NOUN
cord-005350-19za0msu	597	318	at	at	ADP
cord-005350-19za0msu	597	319	the	the	DET
cord-005350-19za0msu	597	320	human	human	ADJ
cord-005350-19za0msu	597	321	-	-	PUNCT
cord-005350-19za0msu	597	322	animal	animal	NOUN
cord-005350-19za0msu	597	323	interface	interface	NOUN
cord-005350-19za0msu	597	324	stochastic	stochastic	NOUN
cord-005350-19za0msu	597	325	models	model	NOUN
cord-005350-19za0msu	597	326	in	in	ADP
cord-005350-19za0msu	597	327	population	population	NOUN
cord-005350-19za0msu	597	328	biology	biology	NOUN
cord-005350-19za0msu	597	329	and	and	CCONJ
cord-005350-19za0msu	597	330	their	their	PRON
cord-005350-19za0msu	597	331	deterministic	deterministic	ADJ
cord-005350-19za0msu	597	332	analogs	analog	NOUN
cord-005350-19za0msu	597	333	measles	measle	NOUN
cord-005350-19za0msu	597	334	:	:	PUNCT
cord-005350-19za0msu	597	335	the	the	DET
cord-005350-19za0msu	597	336	burden	burden	NOUN
cord-005350-19za0msu	597	337	of	of	ADP
cord-005350-19za0msu	597	338	preventable	preventable	ADJ
cord-005350-19za0msu	597	339	deaths	death	NOUN
cord-005350-19za0msu	597	340	preparing	prepare	VERB
cord-005350-19za0msu	597	341	for	for	ADP
cord-005350-19za0msu	597	342	the	the	DET
cord-005350-19za0msu	597	343	next	next	ADJ
cord-005350-19za0msu	597	344	pandemic	pandemic	ADJ
cord-005350-19za0msu	597	345	modelling	model	VERB
cord-005350-19za0msu	597	346	biological	biological	ADJ
cord-005350-19za0msu	597	347	populations	population	NOUN
cord-005350-19za0msu	597	348	in	in	ADP
cord-005350-19za0msu	597	349	space	space	NOUN
cord-005350-19za0msu	597	350	and	and	CCONJ
cord-005350-19za0msu	597	351	time	time	NOUN
cord-005350-19za0msu	597	352	the	the	DET
cord-005350-19za0msu	597	353	decline	decline	NOUN
cord-005350-19za0msu	597	354	and	and	CCONJ
cord-005350-19za0msu	597	355	resurgence	resurgence	NOUN
cord-005350-19za0msu	597	356	of	of	ADP
cord-005350-19za0msu	597	357	pertussis	pertussis	NOUN
cord-005350-19za0msu	597	358	in	in	ADP
cord-005350-19za0msu	597	359	the	the	DET
cord-005350-19za0msu	597	360	us	we	PRON
cord-005350-19za0msu	597	361	the	the	DET
cord-005350-19za0msu	597	362	interplay	interplay	NOUN
cord-005350-19za0msu	597	363	between	between	ADP
cord-005350-19za0msu	597	364	determinism	determinism	NOUN
cord-005350-19za0msu	597	365	and	and	CCONJ
cord-005350-19za0msu	597	366	stochasticity	stochasticity	NOUN
cord-005350-19za0msu	597	367	in	in	ADP
cord-005350-19za0msu	597	368	childhood	childhood	NOUN
cord-005350-19za0msu	597	369	infectious	infectious	ADJ
cord-005350-19za0msu	597	370	diseases	disease	NOUN
cord-005350-19za0msu	597	371	assessing	assess	VERB
cord-005350-19za0msu	597	372	the	the	DET
cord-005350-19za0msu	597	373	economic	economic	ADJ
cord-005350-19za0msu	597	374	impact	impact	NOUN
cord-005350-19za0msu	597	375	and	and	CCONJ
cord-005350-19za0msu	597	376	costs	cost	NOUN
cord-005350-19za0msu	597	377	of	of	ADP
cord-005350-19za0msu	597	378	flu	flu	NOUN
cord-005350-19za0msu	597	379	pandemic	pandemic	NOUN
cord-005350-19za0msu	597	380	originating	originate	VERB
cord-005350-19za0msu	597	381	in	in	ADP
cord-005350-19za0msu	597	382	asia	asia	PROPN
cord-005350-19za0msu	597	383	critical	critical	ADJ
cord-005350-19za0msu	597	384	transitions	transition	NOUN
cord-005350-19za0msu	597	385	in	in	ADP
cord-005350-19za0msu	597	386	nature	nature	NOUN
cord-005350-19za0msu	597	387	and	and	CCONJ
cord-005350-19za0msu	597	388	society	society	NOUN
cord-005350-19za0msu	597	389	early	early	ADJ
cord-005350-19za0msu	597	390	warning	warning	NOUN
cord-005350-19za0msu	597	391	signals	signal	NOUN
cord-005350-19za0msu	597	392	for	for	ADP
cord-005350-19za0msu	597	393	critical	critical	ADJ
cord-005350-19za0msu	597	394	transitions	transition	NOUN
cord-005350-19za0msu	597	395	anticipating	anticipate	VERB
cord-005350-19za0msu	597	396	critical	critical	ADJ
cord-005350-19za0msu	597	397	transitions	transition	NOUN
cord-005350-19za0msu	597	398	heteroscedasticity	heteroscedasticity	NOUN
cord-005350-19za0msu	597	399	as	as	ADP
cord-005350-19za0msu	597	400	a	a	DET
cord-005350-19za0msu	597	401	leading	lead	VERB
cord-005350-19za0msu	597	402	indicator	indicator	NOUN
cord-005350-19za0msu	597	403	of	of	ADP
cord-005350-19za0msu	597	404	ecological	ecological	ADJ
cord-005350-19za0msu	597	405	regime	regime	NOUN
cord-005350-19za0msu	597	406	shifts	shift	NOUN
cord-005350-19za0msu	597	407	assessment	assessment	NOUN
cord-005350-19za0msu	597	408	of	of	ADP
cord-005350-19za0msu	597	409	the	the	DET
cord-005350-19za0msu	597	410	2010	2010	NUM
cord-005350-19za0msu	597	411	global	global	ADJ
cord-005350-19za0msu	597	412	measles	measles	PROPN
cord-005350-19za0msu	597	413	mortality	mortality	NOUN
cord-005350-19za0msu	597	414	reduction	reduction	NOUN
cord-005350-19za0msu	597	415	goal	goal	NOUN
cord-005350-19za0msu	597	416	:	:	PUNCT
cord-005350-19za0msu	597	417	results	result	NOUN
cord-005350-19za0msu	597	418	from	from	ADP
cord-005350-19za0msu	597	419	a	a	DET
cord-005350-19za0msu	597	420	model	model	NOUN
cord-005350-19za0msu	597	421	of	of	ADP
cord-005350-19za0msu	597	422	surveillance	surveillance	NOUN
cord-005350-19za0msu	597	423	data	datum	NOUN
cord-005350-19za0msu	597	424	the	the	DET
cord-005350-19za0msu	597	425	economywide	economywide	NOUN
cord-005350-19za0msu	597	426	impact	impact	NOUN
cord-005350-19za0msu	597	427	of	of	ADP
cord-005350-19za0msu	597	428	pandemic	pandemic	ADJ
cord-005350-19za0msu	597	429	influenza	influenza	NOUN
cord-005350-19za0msu	597	430	on	on	ADP
cord-005350-19za0msu	597	431	the	the	DET
cord-005350-19za0msu	597	432	uk	uk	PROPN
cord-005350-19za0msu	597	433	:	:	PUNCT
cord-005350-19za0msu	597	434	a	a	DET
cord-005350-19za0msu	597	435	computable	computable	ADJ
cord-005350-19za0msu	597	436	general	general	ADJ
cord-005350-19za0msu	597	437	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	597	438	modelling	model	VERB
cord-005350-19za0msu	597	439	experiment	experiment	NOUN
cord-005350-19za0msu	597	440	nonlinear	nonlinear	ADJ
cord-005350-19za0msu	597	441	dynamics	dynamic	NOUN
cord-005350-19za0msu	597	442	and	and	CCONJ
cord-005350-19za0msu	597	443	chaos	chaos	NOUN
cord-005350-19za0msu	597	444	with	with	ADP
cord-005350-19za0msu	597	445	applications	application	NOUN
cord-005350-19za0msu	597	446	to	to	ADP
cord-005350-19za0msu	597	447	physics	physic	NOUN
cord-005350-19za0msu	597	448	,	,	PUNCT
cord-005350-19za0msu	597	449	biology	biology	NOUN
cord-005350-19za0msu	597	450	,	,	PUNCT
cord-005350-19za0msu	597	451	chemistry	chemistry	NOUN
cord-005350-19za0msu	597	452	and	and	CCONJ
cord-005350-19za0msu	597	453	engineering	engineering	NOUN
cord-005350-19za0msu	597	454	who	who	PRON
cord-005350-19za0msu	597	455	(	(	PUNCT
cord-005350-19za0msu	597	456	world	world	NOUN
cord-005350-19za0msu	597	457	health	health	NOUN
cord-005350-19za0msu	597	458	organization	organization	NOUN
cord-005350-19za0msu	597	459	)	)	PUNCT
cord-005350-19za0msu	597	460	(	(	PUNCT
cord-005350-19za0msu	597	461	2012	2012	NUM
cord-005350-19za0msu	597	462	)	)	PUNCT
cord-005350-19za0msu	597	463	who	who	PRON
cord-005350-19za0msu	597	464	malaria	malaria	NOUN
cord-005350-19za0msu	597	465	report	report	VERB
cord-005350-19za0msu	597	466	2012	2012	NUM
cord-005350-19za0msu	597	467	acknowledgments	acknowledgment	VERB
cord-005350-19za0msu	597	468	this	this	DET
cord-005350-19za0msu	597	469	research	research	NOUN
cord-005350-19za0msu	597	470	was	be	AUX
cord-005350-19za0msu	597	471	funded	fund	VERB
cord-005350-19za0msu	597	472	by	by	ADP
cord-005350-19za0msu	597	473	a	a	DET
cord-005350-19za0msu	597	474	grant	grant	NOUN
cord-005350-19za0msu	597	475	from	from	ADP
cord-005350-19za0msu	597	476	the	the	DET
cord-005350-19za0msu	597	477	james	james	PROPN
cord-005350-19za0msu	597	478	s.	s.	PROPN
cord-005350-19za0msu	597	479	mcdonnell	mcdonnell	PROPN
cord-005350-19za0msu	597	480	foundation.open	foundation.open	ADJ
cord-005350-19za0msu	597	481	access	access	NOUN
cord-005350-19za0msu	597	482	this	this	DET
cord-005350-19za0msu	597	483	article	article	NOUN
cord-005350-19za0msu	597	484	is	be	AUX
cord-005350-19za0msu	597	485	distributed	distribute	VERB
cord-005350-19za0msu	597	486	under	under	ADP
cord-005350-19za0msu	597	487	the	the	DET
cord-005350-19za0msu	597	488	terms	term	NOUN
cord-005350-19za0msu	597	489	of	of	ADP
cord-005350-19za0msu	597	490	the	the	DET
cord-005350-19za0msu	597	491	creative	creative	ADJ
cord-005350-19za0msu	597	492	commons	commons	ADJ
cord-005350-19za0msu	597	493	attribution	attribution	NOUN
cord-005350-19za0msu	597	494	license	license	NOUN
cord-005350-19za0msu	597	495	which	which	PRON
cord-005350-19za0msu	597	496	permits	permit	VERB
cord-005350-19za0msu	597	497	any	any	DET
cord-005350-19za0msu	597	498	use	use	NOUN
cord-005350-19za0msu	597	499	,	,	PUNCT
cord-005350-19za0msu	597	500	distribution	distribution	NOUN
cord-005350-19za0msu	597	501	,	,	PUNCT
cord-005350-19za0msu	597	502	and	and	CCONJ
cord-005350-19za0msu	597	503	reproduction	reproduction	NOUN
cord-005350-19za0msu	597	504	in	in	ADP
cord-005350-19za0msu	597	505	any	any	DET
cord-005350-19za0msu	597	506	medium	medium	NOUN
cord-005350-19za0msu	597	507	,	,	PUNCT
cord-005350-19za0msu	597	508	provided	provide	VERB
cord-005350-19za0msu	597	509	the	the	DET
cord-005350-19za0msu	597	510	original	original	ADJ
cord-005350-19za0msu	597	511	author(s	author(s	NOUN
cord-005350-19za0msu	597	512	)	)	PUNCT
cord-005350-19za0msu	597	513	and	and	CCONJ
cord-005350-19za0msu	597	514	the	the	DET
cord-005350-19za0msu	597	515	source	source	NOUN
cord-005350-19za0msu	597	516	are	be	AUX
cord-005350-19za0msu	597	517	credited	credit	VERB
cord-005350-19za0msu	597	518	.	.	PUNCT
cord-005350-19za0msu	598	1	to	to	PART
cord-005350-19za0msu	598	2	make	make	VERB
cord-005350-19za0msu	598	3	the	the	DET
cord-005350-19za0msu	598	4	description	description	NOUN
cord-005350-19za0msu	598	5	of	of	ADP
cord-005350-19za0msu	598	6	the	the	DET
cord-005350-19za0msu	598	7	probability	probability	NOUN
cord-005350-19za0msu	598	8	distribution	distribution	NOUN
cord-005350-19za0msu	598	9	given	give	VERB
cord-005350-19za0msu	598	10	by	by	ADP
cord-005350-19za0msu	598	11	eq	eq	PROPN
cord-005350-19za0msu	598	12	.	.	PUNCT
cord-005350-19za0msu	599	1	(	(	PUNCT
cord-005350-19za0msu	599	2	4	4	NUM
cord-005350-19za0msu	599	3	)	)	PUNCT
cord-005350-19za0msu	599	4	in	in	ADP
cord-005350-19za0msu	599	5	the	the	DET
cord-005350-19za0msu	599	6	main	main	ADJ
cord-005350-19za0msu	599	7	text	text	NOUN
cord-005350-19za0msu	599	8	more	more	ADV
cord-005350-19za0msu	599	9	amenable	amenable	ADJ
cord-005350-19za0msu	599	10	to	to	ADP
cord-005350-19za0msu	599	11	analytical	analytical	ADJ
cord-005350-19za0msu	599	12	analysis	analysis	NOUN
cord-005350-19za0msu	599	13	,	,	PUNCT
cord-005350-19za0msu	599	14	we	we	PRON
cord-005350-19za0msu	599	15	approximate	approximate	VERB
cord-005350-19za0msu	599	16	the	the	DET
cord-005350-19za0msu	599	17	discrete	discrete	ADJ
cord-005350-19za0msu	599	18	infectious	infectious	ADJ
cord-005350-19za0msu	599	19	state	state	NOUN
cord-005350-19za0msu	599	20	random	random	ADJ
cord-005350-19za0msu	599	21	variable	variable	NOUN
cord-005350-19za0msu	599	22	by	by	ADP
cord-005350-19za0msu	599	23	a	a	DET
cord-005350-19za0msu	599	24	continuous	continuous	ADJ
cord-005350-19za0msu	599	25	random	random	ADJ
cord-005350-19za0msu	599	26	variable	variable	ADJ
cord-005350-19za0msu	599	27	ζ	ζ	NOUN
cord-005350-19za0msu	599	28	,	,	PUNCT
cord-005350-19za0msu	599	29	we	we	PRON
cord-005350-19za0msu	599	30	are	be	AUX
cord-005350-19za0msu	599	31	anticipating	anticipate	VERB
cord-005350-19za0msu	599	32	that	that	SCONJ
cord-005350-19za0msu	599	33	the	the	DET
cord-005350-19za0msu	599	34	probability	probability	NOUN
cord-005350-19za0msu	599	35	distribution	distribution	NOUN
cord-005350-19za0msu	599	36	will	will	AUX
cord-005350-19za0msu	599	37	depend	depend	VERB
cord-005350-19za0msu	599	38	on	on	ADP
cord-005350-19za0msu	599	39	the	the	DET
cord-005350-19za0msu	599	40	population	population	NOUN
cord-005350-19za0msu	599	41	size	size	NOUN
cord-005350-19za0msu	599	42	n.	n.	PROPN
cord-005350-19za0msu	599	43	we	we	PRON
cord-005350-19za0msu	599	44	do	do	AUX
cord-005350-19za0msu	599	45	not	not	PART
cord-005350-19za0msu	599	46	assume	assume	VERB
cord-005350-19za0msu	599	47	what	what	DET
cord-005350-19za0msu	599	48	equation	equation	NOUN
cord-005350-19za0msu	599	49	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	599	50	)	)	PUNCT
cord-005350-19za0msu	599	51	satisfies	satisfie	NOUN
cord-005350-19za0msu	599	52	,	,	PUNCT
cord-005350-19za0msu	599	53	but	but	CCONJ
cord-005350-19za0msu	599	54	we	we	PRON
cord-005350-19za0msu	599	55	will	will	AUX
cord-005350-19za0msu	599	56	see	see	VERB
cord-005350-19za0msu	599	57	later	later	ADV
cord-005350-19za0msu	599	58	that	that	SCONJ
cord-005350-19za0msu	599	59	it	it	PRON
cord-005350-19za0msu	599	60	is	be	AUX
cord-005350-19za0msu	599	61	equal	equal	ADJ
cord-005350-19za0msu	599	62	to	to	ADP
cord-005350-19za0msu	599	63	the	the	DET
cord-005350-19za0msu	599	64	proportion	proportion	NOUN
cord-005350-19za0msu	599	65	of	of	ADP
cord-005350-19za0msu	599	66	infectious	infectious	ADJ
cord-005350-19za0msu	599	67	individuals	individual	NOUN
cord-005350-19za0msu	599	68	at	at	ADP
cord-005350-19za0msu	599	69	time	time	NOUN
cord-005350-19za0msu	599	70	t	t	PROPN
cord-005350-19za0msu	599	71	,	,	PUNCT
cord-005350-19za0msu	599	72	in	in	ADP
cord-005350-19za0msu	599	73	the	the	DET
cord-005350-19za0msu	599	74	limit	limit	NOUN
cord-005350-19za0msu	599	75	of	of	ADP
cord-005350-19za0msu	599	76	infinitely	infinitely	ADV
cord-005350-19za0msu	599	77	large	large	ADJ
cord-005350-19za0msu	599	78	population	population	NOUN
cord-005350-19za0msu	599	79	size	size	NOUN
cord-005350-19za0msu	599	80	n	n	PRON
cord-005350-19za0msu	599	81	;	;	PUNCT
cord-005350-19za0msu	599	82	the	the	DET
cord-005350-19za0msu	599	83	system	system	NOUN
cord-005350-19za0msu	599	84	size	size	NOUN
cord-005350-19za0msu	599	85	expansion	expansion	NOUN
cord-005350-19za0msu	599	86	will	will	AUX
cord-005350-19za0msu	599	87	give	give	VERB
cord-005350-19za0msu	599	88	rise	rise	NOUN
cord-005350-19za0msu	599	89	to	to	ADP
cord-005350-19za0msu	599	90	the	the	DET
cord-005350-19za0msu	599	91	mean	mean	ADJ
cord-005350-19za0msu	599	92	field	field	NOUN
cord-005350-19za0msu	599	93	theory	theory	NOUN
cord-005350-19za0msu	599	94	discussed	discuss	VERB
cord-005350-19za0msu	599	95	in	in	ADP
cord-005350-19za0msu	599	96	the	the	DET
cord-005350-19za0msu	599	97	"	"	PUNCT
cord-005350-19za0msu	599	98	mean	mean	ADJ
cord-005350-19za0msu	599	99	field	field	NOUN
cord-005350-19za0msu	599	100	theory	theory	NOUN
cord-005350-19za0msu	599	101	of	of	ADP
cord-005350-19za0msu	599	102	sir	sir	PROPN
cord-005350-19za0msu	599	103	model	model	PROPN
cord-005350-19za0msu	599	104	"	"	PUNCT
cord-005350-19za0msu	599	105	section	section	NOUN
cord-005350-19za0msu	599	106	.	.	PUNCT
cord-005350-19za0msu	600	1	equation	equation	NOUN
cord-005350-19za0msu	600	2	(	(	PUNCT
cord-005350-19za0msu	600	3	10	10	NUM
cord-005350-19za0msu	600	4	)	)	PUNCT
cord-005350-19za0msu	600	5	says	say	VERB
cord-005350-19za0msu	600	6	that	that	SCONJ
cord-005350-19za0msu	600	7	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	600	8	(	(	PUNCT
cord-005350-19za0msu	600	9	denoted	denote	VERB
cord-005350-19za0msu	600	10	by	by	ADP
cord-005350-19za0msu	600	11	ζ	ζ	NOUN
cord-005350-19za0msu	600	12	)	)	PUNCT
cord-005350-19za0msu	600	13	about	about	ADP
cord-005350-19za0msu	600	14	the	the	DET
cord-005350-19za0msu	600	15	deterministic	deterministic	ADJ
cord-005350-19za0msu	600	16	state	state	NOUN
cord-005350-19za0msu	600	17	i	i	PRON
cord-005350-19za0msu	600	18	/	/	SYM
cord-005350-19za0msu	600	19	n	n	ADV
cord-005350-19za0msu	600	20	are	be	AUX
cord-005350-19za0msu	600	21	expected	expect	VERB
cord-005350-19za0msu	600	22	to	to	PART
cord-005350-19za0msu	600	23	be	be	AUX
cord-005350-19za0msu	600	24	of	of	ADP
cord-005350-19za0msu	600	25	the	the	DET
cord-005350-19za0msu	600	26	order	order	NOUN
cord-005350-19za0msu	600	27	of	of	ADP
cord-005350-19za0msu	600	28	n	n	PROPN
cord-005350-19za0msu	600	29	−1/2	−1/2	PROPN
cord-005350-19za0msu	600	30	,	,	PUNCT
cord-005350-19za0msu	600	31	which	which	PRON
cord-005350-19za0msu	600	32	is	be	AUX
cord-005350-19za0msu	600	33	expected	expect	VERB
cord-005350-19za0msu	600	34	from	from	ADP
cord-005350-19za0msu	600	35	the	the	DET
cord-005350-19za0msu	600	36	central	central	ADJ
cord-005350-19za0msu	600	37	limit	limit	NOUN
cord-005350-19za0msu	600	38	theorem	theorem	NOUN
cord-005350-19za0msu	600	39	,	,	PUNCT
cord-005350-19za0msu	600	40	and	and	CCONJ
cord-005350-19za0msu	600	41	so	so	ADV
cord-005350-19za0msu	600	42	the	the	DET
cord-005350-19za0msu	600	43	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	600	44	in	in	ADP
cord-005350-19za0msu	600	45	i	i	PRON
cord-005350-19za0msu	600	46	are	be	AUX
cord-005350-19za0msu	600	47	of	of	ADP
cord-005350-19za0msu	600	48	the	the	DET
cord-005350-19za0msu	600	49	order	order	NOUN
cord-005350-19za0msu	600	50	n	n	NOUN
cord-005350-19za0msu	600	51	1/2	1/2	NUM
cord-005350-19za0msu	600	52	(	(	PUNCT
cord-005350-19za0msu	600	53	van	van	PROPN
cord-005350-19za0msu	600	54	kampen	kampen	PROPN
cord-005350-19za0msu	600	55	1981	1981	NUM
cord-005350-19za0msu	600	56	)	)	PUNCT
cord-005350-19za0msu	600	57	.	.	PUNCT
cord-005350-19za0msu	601	1	if	if	SCONJ
cord-005350-19za0msu	601	2	the	the	DET
cord-005350-19za0msu	601	3	population	population	NOUN
cord-005350-19za0msu	601	4	size	size	NOUN
cord-005350-19za0msu	601	5	n	n	ADV
cord-005350-19za0msu	601	6	is	be	AUX
cord-005350-19za0msu	601	7	large	large	ADJ
cord-005350-19za0msu	601	8	,	,	PUNCT
cord-005350-19za0msu	601	9	we	we	PRON
cord-005350-19za0msu	601	10	intuitively	intuitively	ADV
cord-005350-19za0msu	601	11	expect	expect	VERB
cord-005350-19za0msu	601	12	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	601	13	to	to	PART
cord-005350-19za0msu	601	14	be	be	AUX
cord-005350-19za0msu	601	15	small	small	ADJ
cord-005350-19za0msu	601	16	.	.	PUNCT
cord-005350-19za0msu	602	1	consequently	consequently	ADV
cord-005350-19za0msu	602	2	,	,	PUNCT
cord-005350-19za0msu	602	3	the	the	DET
cord-005350-19za0msu	602	4	probability	probability	NOUN
cord-005350-19za0msu	602	5	distribution	distribution	NOUN
cord-005350-19za0msu	602	6	for	for	ADP
cord-005350-19za0msu	602	7	the	the	DET
cord-005350-19za0msu	602	8	system	system	NOUN
cord-005350-19za0msu	602	9	being	be	AUX
cord-005350-19za0msu	602	10	in	in	ADP
cord-005350-19za0msu	602	11	a	a	DET
cord-005350-19za0msu	602	12	certain	certain	ADJ
cord-005350-19za0msu	602	13	state	state	NOUN
cord-005350-19za0msu	602	14	at	at	ADP
cord-005350-19za0msu	602	15	time	time	NOUN
cord-005350-19za0msu	602	16	t	t	PROPN
cord-005350-19za0msu	602	17	is	be	AUX
cord-005350-19za0msu	602	18	expected	expect	VERB
cord-005350-19za0msu	602	19	to	to	PART
cord-005350-19za0msu	602	20	have	have	VERB
cord-005350-19za0msu	602	21	a	a	DET
cord-005350-19za0msu	602	22	peak	peak	NOUN
cord-005350-19za0msu	602	23	located	locate	VERB
cord-005350-19za0msu	602	24	at	at	ADP
cord-005350-19za0msu	602	25	the	the	DET
cord-005350-19za0msu	602	26	deterministic	deterministic	ADJ
cord-005350-19za0msu	602	27	value	value	NOUN
cord-005350-19za0msu	602	28	nϕ(t	nϕ(t	NUM
cord-005350-19za0msu	602	29	)	)	PUNCT
cord-005350-19za0msu	602	30	and	and	CCONJ
cord-005350-19za0msu	602	31	a	a	DET
cord-005350-19za0msu	602	32	standard	standard	ADJ
cord-005350-19za0msu	602	33	deviation	deviation	NOUN
cord-005350-19za0msu	602	34	of	of	ADP
cord-005350-19za0msu	602	35	the	the	DET
cord-005350-19za0msu	602	36	order	order	NOUN
cord-005350-19za0msu	602	37	n	n	NOUN
cord-005350-19za0msu	602	38	1/2	1/2	NUM
cord-005350-19za0msu	602	39	.	.	PUNCT
cord-005350-19za0msu	603	1	the	the	DET
cord-005350-19za0msu	603	2	approximation	approximation	NOUN
cord-005350-19za0msu	603	3	(	(	PUNCT
cord-005350-19za0msu	603	4	10	10	NUM
cord-005350-19za0msu	603	5	)	)	PUNCT
cord-005350-19za0msu	603	6	turns	turn	VERB
cord-005350-19za0msu	603	7	out	out	ADP
cord-005350-19za0msu	603	8	to	to	PART
cord-005350-19za0msu	603	9	be	be	AUX
cord-005350-19za0msu	603	10	a	a	DET
cord-005350-19za0msu	603	11	normal	normal	ADJ
cord-005350-19za0msu	603	12	random	random	ADJ
cord-005350-19za0msu	603	13	variable.the	variable.the	DET
cord-005350-19za0msu	603	14	system	system	NOUN
cord-005350-19za0msu	603	15	size	size	NOUN
cord-005350-19za0msu	603	16	expansion	expansion	NOUN
cord-005350-19za0msu	603	17	is	be	AUX
cord-005350-19za0msu	603	18	described	describe	VERB
cord-005350-19za0msu	603	19	in	in	ADP
cord-005350-19za0msu	603	20	detail	detail	NOUN
cord-005350-19za0msu	603	21	by	by	ADP
cord-005350-19za0msu	603	22	the	the	DET
cord-005350-19za0msu	603	23	van	van	PROPN
cord-005350-19za0msu	603	24	kampen	kampen	PROPN
cord-005350-19za0msu	603	25	(	(	PUNCT
cord-005350-19za0msu	603	26	van	van	PROPN
cord-005350-19za0msu	603	27	kampen	kampen	PROPN
cord-005350-19za0msu	603	28	1981	1981	NUM
cord-005350-19za0msu	603	29	)	)	PUNCT
cord-005350-19za0msu	603	30	and	and	CCONJ
cord-005350-19za0msu	603	31	has	have	AUX
cord-005350-19za0msu	603	32	been	be	AUX
cord-005350-19za0msu	603	33	applied	apply	VERB
cord-005350-19za0msu	603	34	to	to	ADP
cord-005350-19za0msu	603	35	one	one	NUM
cord-005350-19za0msu	603	36	-	-	PUNCT
cord-005350-19za0msu	603	37	dimensional	dimensional	ADJ
cord-005350-19za0msu	603	38	population	population	NOUN
cord-005350-19za0msu	603	39	biology	biology	NOUN
cord-005350-19za0msu	603	40	models	model	NOUN
cord-005350-19za0msu	603	41	(	(	PUNCT
cord-005350-19za0msu	603	42	mckane	mckane	PROPN
cord-005350-19za0msu	603	43	and	and	CCONJ
cord-005350-19za0msu	603	44	newman	newman	PROPN
cord-005350-19za0msu	603	45	2004	2004	NUM
cord-005350-19za0msu	603	46	)	)	PUNCT
cord-005350-19za0msu	603	47	.	.	PUNCT
cord-005350-19za0msu	604	1	therefore	therefore	ADV
cord-005350-19za0msu	604	2	,	,	PUNCT
cord-005350-19za0msu	604	3	we	we	PRON
cord-005350-19za0msu	604	4	do	do	AUX
cord-005350-19za0msu	604	5	not	not	PART
cord-005350-19za0msu	604	6	include	include	VERB
cord-005350-19za0msu	604	7	the	the	DET
cord-005350-19za0msu	604	8	full	full	ADJ
cord-005350-19za0msu	604	9	details	detail	NOUN
cord-005350-19za0msu	604	10	of	of	ADP
cord-005350-19za0msu	604	11	the	the	DET
cord-005350-19za0msu	604	12	expansion	expansion	NOUN
cord-005350-19za0msu	604	13	of	of	ADP
cord-005350-19za0msu	604	14	eq	eq	PROPN
cord-005350-19za0msu	604	15	.	.	PUNCT
cord-005350-19za0msu	605	1	(	(	PUNCT
cord-005350-19za0msu	605	2	4	4	NUM
cord-005350-19za0msu	605	3	)	)	PUNCT
cord-005350-19za0msu	605	4	in	in	ADP
cord-005350-19za0msu	605	5	this	this	DET
cord-005350-19za0msu	605	6	paper	paper	NOUN
cord-005350-19za0msu	605	7	.	.	PUNCT
cord-005350-19za0msu	606	1	in	in	ADP
cord-005350-19za0msu	606	2	summary	summary	NOUN
cord-005350-19za0msu	606	3	,	,	PUNCT
cord-005350-19za0msu	606	4	there	there	PRON
cord-005350-19za0msu	606	5	are	be	VERB
cord-005350-19za0msu	606	6	five	five	NUM
cord-005350-19za0msu	606	7	essential	essential	ADJ
cord-005350-19za0msu	606	8	steps	step	NOUN
cord-005350-19za0msu	606	9	:	:	PUNCT
cord-005350-19za0msu	606	10	(	(	PUNCT
cord-005350-19za0msu	606	11	1	1	X
cord-005350-19za0msu	606	12	)	)	PUNCT
cord-005350-19za0msu	606	13	write	write	VERB
cord-005350-19za0msu	606	14	down	down	ADP
cord-005350-19za0msu	606	15	transition	transition	NOUN
cord-005350-19za0msu	606	16	rates	rate	NOUN
cord-005350-19za0msu	606	17	(	(	PUNCT
cord-005350-19za0msu	606	18	e.g.	e.g.	ADV
cord-005350-19za0msu	606	19	,	,	PUNCT
cord-005350-19za0msu	606	20	table	table	NOUN
cord-005350-19za0msu	606	21	2	2	NUM
cord-005350-19za0msu	606	22	)	)	PUNCT
cord-005350-19za0msu	606	23	;	;	PUNCT
cord-005350-19za0msu	606	24	(	(	PUNCT
cord-005350-19za0msu	606	25	2	2	X
cord-005350-19za0msu	606	26	)	)	PUNCT
cord-005350-19za0msu	606	27	derive	derive	VERB
cord-005350-19za0msu	606	28	the	the	DET
cord-005350-19za0msu	606	29	master	master	NOUN
cord-005350-19za0msu	606	30	equation	equation	NOUN
cord-005350-19za0msu	606	31	for	for	ADP
cord-005350-19za0msu	606	32	the	the	DET
cord-005350-19za0msu	606	33	markov	markov	NOUN
cord-005350-19za0msu	606	34	process	process	NOUN
cord-005350-19za0msu	606	35	;	;	PUNCT
cord-005350-19za0msu	606	36	(	(	PUNCT
cord-005350-19za0msu	606	37	3	3	X
cord-005350-19za0msu	606	38	)	)	PUNCT
cord-005350-19za0msu	606	39	rewrite	rewrite	VERB
cord-005350-19za0msu	606	40	the	the	DET
cord-005350-19za0msu	606	41	master	master	NOUN
cord-005350-19za0msu	606	42	equation	equation	NOUN
cord-005350-19za0msu	606	43	in	in	ADP
cord-005350-19za0msu	606	44	terms	term	NOUN
cord-005350-19za0msu	606	45	of	of	ADP
cord-005350-19za0msu	606	46	jump	jump	NOUN
cord-005350-19za0msu	606	47	functions	function	NOUN
cord-005350-19za0msu	606	48	;	;	PUNCT
cord-005350-19za0msu	606	49	(	(	PUNCT
cord-005350-19za0msu	606	50	4	4	X
cord-005350-19za0msu	606	51	)	)	PUNCT
cord-005350-19za0msu	606	52	substitute	substitute	VERB
cord-005350-19za0msu	606	53	the	the	DET
cord-005350-19za0msu	606	54	ansatz	ansatz	PROPN
cord-005350-19za0msu	606	55	(	(	PUNCT
cord-005350-19za0msu	606	56	10	10	NUM
cord-005350-19za0msu	606	57	)	)	PUNCT
cord-005350-19za0msu	606	58	into	into	ADP
cord-005350-19za0msu	606	59	the	the	DET
cord-005350-19za0msu	606	60	master	master	NOUN
cord-005350-19za0msu	606	61	equation	equation	NOUN
cord-005350-19za0msu	606	62	and	and	CCONJ
cord-005350-19za0msu	606	63	perform	perform	VERB
cord-005350-19za0msu	606	64	the	the	DET
cord-005350-19za0msu	606	65	expansion	expansion	NOUN
cord-005350-19za0msu	606	66	;	;	PUNCT
cord-005350-19za0msu	606	67	and	and	CCONJ
cord-005350-19za0msu	606	68	(	(	PUNCT
cord-005350-19za0msu	606	69	5	5	X
cord-005350-19za0msu	606	70	)	)	PUNCT
cord-005350-19za0msu	606	71	collect	collect	VERB
cord-005350-19za0msu	606	72	deterministic	deterministic	ADJ
cord-005350-19za0msu	606	73	(	(	PUNCT
cord-005350-19za0msu	606	74	leading	lead	VERB
cord-005350-19za0msu	606	75	order	order	NOUN
cord-005350-19za0msu	606	76	)	)	PUNCT
cord-005350-19za0msu	606	77	and	and	CCONJ
cord-005350-19za0msu	606	78	stochastic	stochastic	NOUN
cord-005350-19za0msu	606	79	(	(	PUNCT
cord-005350-19za0msu	606	80	next	next	ADJ
cord-005350-19za0msu	606	81	-	-	PUNCT
cord-005350-19za0msu	606	82	to	to	ADP
cord-005350-19za0msu	606	83	-	-	PUNCT
cord-005350-19za0msu	606	84	leading	lead	VERB
cord-005350-19za0msu	606	85	order	order	NOUN
cord-005350-19za0msu	606	86	)	)	PUNCT
cord-005350-19za0msu	606	87	terms	term	NOUN
cord-005350-19za0msu	606	88	to	to	PART
cord-005350-19za0msu	606	89	obtain	obtain	VERB
cord-005350-19za0msu	606	90	the	the	DET
cord-005350-19za0msu	606	91	deterministic	deterministic	ADJ
cord-005350-19za0msu	606	92	system	system	NOUN
cord-005350-19za0msu	606	93	and	and	CCONJ
cord-005350-19za0msu	606	94	its	its	PRON
cord-005350-19za0msu	606	95	stochastic	stochastic	NOUN
cord-005350-19za0msu	606	96	correction.rewriting	correction.rewrite	VERB
cord-005350-19za0msu	606	97	the	the	DET
cord-005350-19za0msu	606	98	master	master	NOUN
cord-005350-19za0msu	606	99	equation	equation	NOUN
cord-005350-19za0msu	606	100	as	as	SCONJ
cord-005350-19za0msu	606	101	described	describe	VERB
cord-005350-19za0msu	606	102	in	in	ADP
cord-005350-19za0msu	606	103	detail	detail	NOUN
cord-005350-19za0msu	606	104	in	in	ADP
cord-005350-19za0msu	606	105	(	(	PUNCT
cord-005350-19za0msu	606	106	van	van	PROPN
cord-005350-19za0msu	606	107	kampen	kampen	PROPN
cord-005350-19za0msu	606	108	1981	1981	NUM
cord-005350-19za0msu	606	109	)	)	PUNCT
cord-005350-19za0msu	606	110	and	and	CCONJ
cord-005350-19za0msu	606	111	performing	perform	VERB
cord-005350-19za0msu	606	112	the	the	DET
cord-005350-19za0msu	606	113	system	system	NOUN
cord-005350-19za0msu	606	114	size	size	NOUN
cord-005350-19za0msu	606	115	expansion	expansion	NOUN
cord-005350-19za0msu	606	116	using	use	VERB
cord-005350-19za0msu	606	117	eq	eq	PROPN
cord-005350-19za0msu	606	118	.	.	PUNCT
cord-005350-19za0msu	607	1	(	(	PUNCT
cord-005350-19za0msu	607	2	10	10	NUM
cord-005350-19za0msu	607	3	)	)	PUNCT
cord-005350-19za0msu	607	4	,	,	PUNCT
cord-005350-19za0msu	607	5	at	at	ADP
cord-005350-19za0msu	607	6	leading	lead	VERB
cord-005350-19za0msu	607	7	order	order	NOUN
cord-005350-19za0msu	607	8	,	,	PUNCT
cord-005350-19za0msu	607	9	give	give	VERB
cord-005350-19za0msu	607	10	rise	rise	NOUN
cord-005350-19za0msu	607	11	to	to	ADP
cord-005350-19za0msu	607	12	the	the	DET
cord-005350-19za0msu	607	13	differential	differential	ADJ
cord-005350-19za0msu	607	14	equation	equation	NOUN
cord-005350-19za0msu	607	15	that	that	SCONJ
cord-005350-19za0msu	607	16	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	607	17	)	)	PUNCT
cord-005350-19za0msu	607	18	satisfiesthis	satisfiesthis	PROPN
cord-005350-19za0msu	607	19	is	be	AUX
cord-005350-19za0msu	607	20	simply	simply	ADV
cord-005350-19za0msu	607	21	the	the	DET
cord-005350-19za0msu	607	22	fast	fast	ADV
cord-005350-19za0msu	607	23	-	-	PUNCT
cord-005350-19za0msu	607	24	slow	slow	ADJ
cord-005350-19za0msu	607	25	system	system	NOUN
cord-005350-19za0msu	607	26	(	(	PUNCT
cord-005350-19za0msu	607	27	3	3	NUM
cord-005350-19za0msu	607	28	)	)	PUNCT
cord-005350-19za0msu	607	29	.	.	PUNCT
cord-005350-19za0msu	608	1	at	at	ADP
cord-005350-19za0msu	608	2	the	the	DET
cord-005350-19za0msu	608	3	next	next	ADJ
cord-005350-19za0msu	608	4	-	-	PUNCT
cord-005350-19za0msu	608	5	toleading	toleade	VERB
cord-005350-19za0msu	608	6	order	order	NOUN
cord-005350-19za0msu	608	7	,	,	PUNCT
cord-005350-19za0msu	608	8	the	the	DET
cord-005350-19za0msu	608	9	method	method	NOUN
cord-005350-19za0msu	608	10	leads	lead	VERB
cord-005350-19za0msu	608	11	to	to	ADP
cord-005350-19za0msu	608	12	a	a	DET
cord-005350-19za0msu	608	13	linear	linear	ADJ
cord-005350-19za0msu	608	14	fokker	fokker	NOUN
cord-005350-19za0msu	608	15	-	-	PUNCT
cord-005350-19za0msu	608	16	planck	planck	NOUN
cord-005350-19za0msu	608	17	equation	equation	NOUN
cord-005350-19za0msu	608	18	for	for	ADP
cord-005350-19za0msu	608	19	the	the	DET
cord-005350-19za0msu	608	20	distribution	distribution	NOUN
cord-005350-19za0msu	608	21	of	of	ADP
cord-005350-19za0msu	608	22	the	the	DET
cord-005350-19za0msu	608	23	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	608	24	about	about	ADP
cord-005350-19za0msu	608	25	the	the	DET
cord-005350-19za0msu	608	26	solution	solution	NOUN
cord-005350-19za0msu	608	27	ϕ(t	ϕ(t	PROPN
cord-005350-19za0msu	608	28	)	)	PUNCT
cord-005350-19za0msu	608	29	,	,	PUNCT
cord-005350-19za0msu	608	30	note	note	VERB
cord-005350-19za0msu	608	31	that	that	SCONJ
cord-005350-19za0msu	608	32	p	p	PROPN
cord-005350-19za0msu	608	33	is	be	AUX
cord-005350-19za0msu	608	34	assumed	assume	VERB
cord-005350-19za0msu	608	35	to	to	PART
cord-005350-19za0msu	608	36	be	be	AUX
cord-005350-19za0msu	608	37	constant	constant	ADJ
cord-005350-19za0msu	608	38	in	in	ADP
cord-005350-19za0msu	608	39	a	a	DET
cord-005350-19za0msu	608	40	small	small	ADJ
cord-005350-19za0msu	608	41	time	time	NOUN
cord-005350-19za0msu	608	42	increment	increment	NOUN
cord-005350-19za0msu	608	43	and	and	CCONJ
cord-005350-19za0msu	608	44	is	be	AUX
cord-005350-19za0msu	608	45	evaluated	evaluate	VERB
cord-005350-19za0msu	608	46	at	at	ADP
cord-005350-19za0msu	608	47	the	the	DET
cord-005350-19za0msu	608	48	current	current	ADJ
cord-005350-19za0msu	608	49	time	time	NOUN
cord-005350-19za0msu	608	50	t.	t.	AUX
cord-005350-19za0msu	608	51	other	other	ADJ
cord-005350-19za0msu	608	52	symbols	symbol	NOUN
cord-005350-19za0msu	608	53	in	in	ADP
cord-005350-19za0msu	608	54	the	the	DET
cord-005350-19za0msu	608	55	table	table	NOUN
cord-005350-19za0msu	608	56	:	:	PUNCT
cord-005350-19za0msu	608	57	endemic	endemic	ADJ
cord-005350-19za0msu	608	58	equilibrium	equilibrium	NOUN
cord-005350-19za0msu	608	59	.	.	PUNCT
cord-005350-19za0msu	609	1	to	to	PART
cord-005350-19za0msu	609	2	analyze	analyze	VERB
cord-005350-19za0msu	609	3	the	the	DET
cord-005350-19za0msu	609	4	system	system	NOUN
cord-005350-19za0msu	609	5	(	(	PUNCT
cord-005350-19za0msu	609	6	24	24	NUM
cord-005350-19za0msu	609	7	)	)	PUNCT
cord-005350-19za0msu	609	8	,	,	PUNCT
cord-005350-19za0msu	609	9	we	we	PRON
cord-005350-19za0msu	609	10	take	take	VERB
cord-005350-19za0msu	609	11	its	its	PRON
cord-005350-19za0msu	609	12	fourier	fourier	NOUN
cord-005350-19za0msu	609	13	transform	transform	NOUN
cord-005350-19za0msu	609	14	,	,	PUNCT
cord-005350-19za0msu	609	15	leading	lead	VERB
cord-005350-19za0msu	609	16	towhereσ	towhereσ	PROPN
cord-005350-19za0msu	609	17	(	(	PUNCT
cord-005350-19za0msu	609	18	ω),ζ	ω),ζ	NOUN
cord-005350-19za0msu	609	19	(	(	PUNCT
cord-005350-19za0msu	609	20	ω),˜	ω),˜	ADV
cord-005350-19za0msu	609	21	1	1	NUM
cord-005350-19za0msu	609	22	(	(	PUNCT
cord-005350-19za0msu	609	23	ω	ω	PROPN
cord-005350-19za0msu	609	24	)	)	PUNCT
cord-005350-19za0msu	609	25	and˜	and˜	ADP
cord-005350-19za0msu	609	26	2	2	NUM
cord-005350-19za0msu	609	27	(	(	PUNCT
cord-005350-19za0msu	609	28	ω	ω	PROPN
cord-005350-19za0msu	609	29	)	)	PUNCT
cord-005350-19za0msu	609	30	are	be	AUX
cord-005350-19za0msu	609	31	the	the	DET
cord-005350-19za0msu	609	32	fourier	fourier	NOUN
cord-005350-19za0msu	609	33	transforms	transform	NOUN
cord-005350-19za0msu	609	34	of	of	ADP
cord-005350-19za0msu	609	35	σ	σ	PROPN
cord-005350-19za0msu	609	36	,	,	PUNCT
cord-005350-19za0msu	609	37	ζ	ζ	NOUN
cord-005350-19za0msu	609	38	,	,	PUNCT
cord-005350-19za0msu	609	39	1	1	NUM
cord-005350-19za0msu	609	40	,	,	PUNCT
cord-005350-19za0msu	609	41	and	and	CCONJ
cord-005350-19za0msu	609	42	2	2	NUM
cord-005350-19za0msu	609	43	,	,	PUNCT
cord-005350-19za0msu	609	44	respectively	respectively	ADV
cord-005350-19za0msu	609	45	.	.	PUNCT
cord-005350-19za0msu	610	1	since	since	SCONJ
cord-005350-19za0msu	610	2	we	we	PRON
cord-005350-19za0msu	610	3	are	be	AUX
cord-005350-19za0msu	610	4	interested	interested	ADJ
cord-005350-19za0msu	610	5	in	in	ADP
cord-005350-19za0msu	610	6	the	the	DET
cord-005350-19za0msu	610	7	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	610	8	about	about	ADP
cord-005350-19za0msu	610	9	the	the	DET
cord-005350-19za0msu	610	10	infectious	infectious	ADJ
cord-005350-19za0msu	610	11	state	state	NOUN
cord-005350-19za0msu	610	12	,	,	PUNCT
cord-005350-19za0msu	610	13	we	we	PRON
cord-005350-19za0msu	610	14	solve	solve	VERB
cord-005350-19za0msu	610	15	eq	eq	PROPN
cord-005350-19za0msu	610	16	.	.	PUNCT
cord-005350-19za0msu	611	1	(	(	PUNCT
cord-005350-19za0msu	611	2	25	25	NUM
cord-005350-19za0msu	611	3	)	)	PUNCT
cord-005350-19za0msu	611	4	for	for	ADP
cord-005350-19za0msu	611	5	the	the	DET
cord-005350-19za0msu	611	6	fourier	fourier	NOUN
cord-005350-19za0msu	611	7	transformζ	transformζ	NOUN
cord-005350-19za0msu	611	8	(	(	PUNCT
cord-005350-19za0msu	611	9	ω	ω	PROPN
cord-005350-19za0msu	611	10	)	)	PUNCT
cord-005350-19za0msu	611	11	,	,	PUNCT
cord-005350-19za0msu	611	12	obtainingwhere	obtainingwhere	PROPN
cord-005350-19za0msu	611	13	t	t	PROPN
cord-005350-19za0msu	611	14	and	and	CCONJ
cord-005350-19za0msu	611	15	d	d	NOUN
cord-005350-19za0msu	611	16	are	be	AUX
cord-005350-19za0msu	611	17	the	the	DET
cord-005350-19za0msu	611	18	trace	trace	NOUN
cord-005350-19za0msu	611	19	and	and	CCONJ
cord-005350-19za0msu	611	20	determinant	determinant	NOUN
cord-005350-19za0msu	611	21	of	of	ADP
cord-005350-19za0msu	611	22	the	the	DET
cord-005350-19za0msu	611	23	jacobian	jacobian	PROPN
cord-005350-19za0msu	611	24	matrix	matrix	PROPN
cord-005350-19za0msu	611	25	,	,	PUNCT
cord-005350-19za0msu	611	26	respectively	respectively	ADV
cord-005350-19za0msu	611	27	,	,	PUNCT
cord-005350-19za0msu	611	28	given	give	VERB
cord-005350-19za0msu	611	29	in	in	ADP
cord-005350-19za0msu	611	30	tables	table	NOUN
cord-005350-19za0msu	611	31	9	9	NUM
cord-005350-19za0msu	611	32	.	.	PUNCT
cord-005350-19za0msu	612	1	using	use	VERB
cord-005350-19za0msu	612	2	eq	eq	PROPN
cord-005350-19za0msu	612	3	.	.	PUNCT
cord-005350-19za0msu	613	1	(	(	PUNCT
cord-005350-19za0msu	613	2	26	26	NUM
cord-005350-19za0msu	613	3	)	)	PUNCT
cord-005350-19za0msu	613	4	,	,	PUNCT
cord-005350-19za0msu	613	5	we	we	PRON
cord-005350-19za0msu	613	6	can	can	AUX
cord-005350-19za0msu	613	7	establish	establish	VERB
cord-005350-19za0msu	613	8	the	the	DET
cord-005350-19za0msu	613	9	power	power	NOUN
cord-005350-19za0msu	613	10	spectrum	spectrum	NOUN
cord-005350-19za0msu	613	11	of	of	ADP
cord-005350-19za0msu	613	12	the	the	DET
cord-005350-19za0msu	613	13	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	613	14	|ζ	|ζ	PROPN
cord-005350-19za0msu	613	15	(	(	PUNCT
cord-005350-19za0msu	613	16	ω	ω	PROPN
cord-005350-19za0msu	613	17	)	)	PUNCT
cord-005350-19za0msu	613	18	2	2	NUM
cord-005350-19za0msu	613	19	|	|	NOUN
cord-005350-19za0msu	613	20	,	,	PUNCT
cord-005350-19za0msu	613	21	where	where	SCONJ
cord-005350-19za0msu	613	22	α	α	PROPN
cord-005350-19za0msu	613	23	i	i	PRON
cord-005350-19za0msu	613	24	is	be	AUX
cord-005350-19za0msu	613	25	given	give	VERB
cord-005350-19za0msu	613	26	in	in	ADP
cord-005350-19za0msu	613	27	table	table	NOUN
cord-005350-19za0msu	613	28	9	9	NUM
cord-005350-19za0msu	613	29	.	.	PUNCT
cord-005350-19za0msu	614	1	the	the	DET
cord-005350-19za0msu	614	2	variance	variance	NOUN
cord-005350-19za0msu	614	3	and	and	CCONJ
cord-005350-19za0msu	614	4	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	614	5	of	of	ADP
cord-005350-19za0msu	614	6	the	the	DET
cord-005350-19za0msu	614	7	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	614	8	in	in	ADP
cord-005350-19za0msu	614	9	i	i	PROPN
cord-005350-19za0msu	614	10	(	(	PUNCT
cord-005350-19za0msu	614	11	t	t	NOUN
cord-005350-19za0msu	614	12	)	)	PUNCT
cord-005350-19za0msu	614	13	around	around	ADP
cord-005350-19za0msu	614	14	the	the	DET
cord-005350-19za0msu	614	15	solution	solution	NOUN
cord-005350-19za0msu	614	16	of	of	ADP
cord-005350-19za0msu	614	17	system	system	NOUN
cord-005350-19za0msu	614	18	(	(	PUNCT
cord-005350-19za0msu	614	19	22	22	NUM
cord-005350-19za0msu	614	20	)	)	PUNCT
cord-005350-19za0msu	614	21	may	may	AUX
cord-005350-19za0msu	614	22	be	be	AUX
cord-005350-19za0msu	614	23	obtained	obtain	VERB
cord-005350-19za0msu	614	24	using	use	VERB
cord-005350-19za0msu	614	25	eq	eq	PROPN
cord-005350-19za0msu	614	26	.	.	PUNCT
cord-005350-19za0msu	615	1	(	(	PUNCT
cord-005350-19za0msu	615	2	27	27	NUM
cord-005350-19za0msu	615	3	)	)	PUNCT
cord-005350-19za0msu	615	4	through	through	ADP
cord-005350-19za0msu	615	5	integration	integration	NOUN
cord-005350-19za0msu	615	6	.	.	PUNCT
cord-005350-19za0msu	616	1	the	the	DET
cord-005350-19za0msu	616	2	variance	variance	NOUN
cord-005350-19za0msu	616	3	of	of	ADP
cord-005350-19za0msu	616	4	the	the	DET
cord-005350-19za0msu	616	5	fluctuations	fluctuation	NOUN
cord-005350-19za0msu	616	6	isthe	isthe	NOUN
cord-005350-19za0msu	616	7	lag	lag	VERB
cord-005350-19za0msu	616	8	-	-	NOUN
cord-005350-19za0msu	616	9	τ	τ	NOUN
cord-005350-19za0msu	616	10	autocorrelation	autocorrelation	NOUN
cord-005350-19za0msu	616	11	is	be	AUX
cord-005350-19za0msu	616	12	given	give	VERB
cord-005350-19za0msu	616	13	by	by	ADP
cord-005350-19za0msu	616	14	the	the	DET
cord-005350-19za0msu	616	15	integral	integral	ADJ
cord-005350-19za0msu	616	16	1	1	NUM
cord-005350-19za0msu	616	17	π	π	NOUN
cord-005350-19za0msu	616	18	∞	∞	NUM
cord-005350-19za0msu	616	19	0	0	PUNCT
cord-005350-19za0msu	617	1	s	s	VERB
cord-005350-19za0msu	618	1	i	i	PRON
cord-005350-19za0msu	618	2	(	(	PUNCT
cord-005350-19za0msu	618	3	ω	ω	NOUN
cord-005350-19za0msu	618	4	)	)	PUNCT
cord-005350-19za0msu	618	5	cos(ωτ	cos(ωτ	PROPN
cord-005350-19za0msu	618	6	)	)	PUNCT
cord-005350-19za0msu	618	7	dω	dω	PROPN
cord-005350-19za0msu	618	8	.	.	PUNCT
