id	sid	tid	token	lemma	pos
cord-104158-l7s2utqb	1	1	key	key	ADJ
cord-104158-l7s2utqb	1	2	:	:	PUNCT
cord-104158-l7s2utqb	1	3	cord-104158	cord-104158	NOUN
cord-104158-l7s2utqb	1	4	-	-	PUNCT
cord-104158-l7s2utqb	1	5	l7s2utqb	l7s2utqb	NOUN
cord-104158-l7s2utqb	1	6	authors	author	NOUN
cord-104158-l7s2utqb	1	7	:	:	PUNCT
cord-104158-l7s2utqb	1	8	maheshwari	maheshwari	PROPN
cord-104158-l7s2utqb	1	9	,	,	PUNCT
cord-104158-l7s2utqb	1	10	h.	h.	PROPN
cord-104158-l7s2utqb	1	11	;	;	PUNCT
cord-104158-l7s2utqb	1	12	shetty	shetty	PROPN
cord-104158-l7s2utqb	1	13	,	,	PUNCT
cord-104158-l7s2utqb	1	14	s.	s.	PROPN
cord-104158-l7s2utqb	1	15	;	;	PUNCT
cord-104158-l7s2utqb	1	16	bannur	bannur	PROPN
cord-104158-l7s2utqb	1	17	,	,	PUNCT
cord-104158-l7s2utqb	1	18	n.	n.	PROPN
cord-104158-l7s2utqb	1	19	;	;	PUNCT
cord-104158-l7s2utqb	1	20	merugu	merugu	PROPN
cord-104158-l7s2utqb	1	21	,	,	PUNCT
cord-104158-l7s2utqb	1	22	s.	s.	PROPN
cord-104158-l7s2utqb	1	23	title	title	PROPN
cord-104158-l7s2utqb	1	24	:	:	PUNCT
cord-104158-l7s2utqb	1	25	cosir	cosir	PROPN
cord-104158-l7s2utqb	1	26	:	:	PUNCT
cord-104158-l7s2utqb	1	27	managing	manage	VERB
cord-104158-l7s2utqb	1	28	an	an	DET
cord-104158-l7s2utqb	1	29	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	1	30	via	via	ADP
cord-104158-l7s2utqb	1	31	optimal	optimal	ADJ
cord-104158-l7s2utqb	1	32	adaptive	adaptive	ADJ
cord-104158-l7s2utqb	1	33	control	control	NOUN
cord-104158-l7s2utqb	1	34	of	of	ADP
cord-104158-l7s2utqb	1	35	transmission	transmission	NOUN
cord-104158-l7s2utqb	1	36	policy	policy	NOUN
cord-104158-l7s2utqb	1	37	date	date	NOUN
cord-104158-l7s2utqb	1	38	:	:	PUNCT
cord-104158-l7s2utqb	1	39	2020	2020	NUM
cord-104158-l7s2utqb	1	40	-	-	SYM
cord-104158-l7s2utqb	1	41	11	11	NUM
cord-104158-l7s2utqb	1	42	-	-	SYM
cord-104158-l7s2utqb	1	43	13	13	NUM
cord-104158-l7s2utqb	1	44	journal	journal	NOUN
cord-104158-l7s2utqb	1	45	:	:	PUNCT
cord-104158-l7s2utqb	1	46	nan	nan	PROPN
cord-104158-l7s2utqb	1	47	doi	doi	PROPN
cord-104158-l7s2utqb	1	48	:	:	PUNCT
cord-104158-l7s2utqb	1	49	10.1101/2020.11.10.20211995	10.1101/2020.11.10.20211995	PROPN
cord-104158-l7s2utqb	1	50	sha	shall	AUX
cord-104158-l7s2utqb	1	51	:	:	PUNCT
cord-104158-l7s2utqb	1	52	doc_id	doc_id	X
cord-104158-l7s2utqb	1	53	:	:	PUNCT
cord-104158-l7s2utqb	1	54	104158	104158	NUM
cord-104158-l7s2utqb	1	55	cord_uid	cord_uid	PROPN
cord-104158-l7s2utqb	1	56	:	:	PUNCT
cord-104158-l7s2utqb	1	57	l7s2utqb	l7s2utqb	ADP
cord-104158-l7s2utqb	1	58	shaping	shape	VERB
cord-104158-l7s2utqb	1	59	an	an	DET
cord-104158-l7s2utqb	1	60	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	1	61	with	with	ADP
cord-104158-l7s2utqb	1	62	an	an	DET
cord-104158-l7s2utqb	1	63	adaptive	adaptive	ADJ
cord-104158-l7s2utqb	1	64	contact	contact	NOUN
cord-104158-l7s2utqb	1	65	restriction	restriction	NOUN
cord-104158-l7s2utqb	1	66	policy	policy	NOUN
cord-104158-l7s2utqb	1	67	that	that	PRON
cord-104158-l7s2utqb	1	68	balances	balance	VERB
cord-104158-l7s2utqb	1	69	the	the	DET
cord-104158-l7s2utqb	1	70	disease	disease	NOUN
cord-104158-l7s2utqb	1	71	and	and	CCONJ
cord-104158-l7s2utqb	1	72	socioeconomic	socioeconomic	ADJ
cord-104158-l7s2utqb	1	73	impact	impact	NOUN
cord-104158-l7s2utqb	1	74	has	have	AUX
cord-104158-l7s2utqb	1	75	been	be	AUX
cord-104158-l7s2utqb	1	76	the	the	DET
cord-104158-l7s2utqb	1	77	holy	holy	ADJ
cord-104158-l7s2utqb	1	78	grail	grail	NOUN
cord-104158-l7s2utqb	1	79	during	during	ADP
cord-104158-l7s2utqb	1	80	the	the	DET
cord-104158-l7s2utqb	1	81	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	1	82	pandemic	pandemic	NOUN
cord-104158-l7s2utqb	1	83	.	.	PUNCT
cord-104158-l7s2utqb	2	1	most	most	ADJ
cord-104158-l7s2utqb	2	2	of	of	ADP
cord-104158-l7s2utqb	2	3	the	the	DET
cord-104158-l7s2utqb	2	4	existing	exist	VERB
cord-104158-l7s2utqb	2	5	work	work	NOUN
cord-104158-l7s2utqb	2	6	on	on	ADP
cord-104158-l7s2utqb	2	7	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	2	8	models	model	NOUN
cord-104158-l7s2utqb	2	9	focuses	focus	VERB
cord-104158-l7s2utqb	2	10	on	on	ADP
cord-104158-l7s2utqb	2	11	scenario	scenario	NOUN
cord-104158-l7s2utqb	2	12	-	-	PUNCT
cord-104158-l7s2utqb	2	13	based	base	VERB
cord-104158-l7s2utqb	2	14	forecasting	forecasting	NOUN
cord-104158-l7s2utqb	2	15	via	via	ADP
cord-104158-l7s2utqb	2	16	simulation	simulation	NOUN
cord-104158-l7s2utqb	2	17	but	but	CCONJ
cord-104158-l7s2utqb	2	18	techniques	technique	NOUN
cord-104158-l7s2utqb	2	19	for	for	ADP
cord-104158-l7s2utqb	2	20	explicit	explicit	ADJ
cord-104158-l7s2utqb	2	21	control	control	NOUN
cord-104158-l7s2utqb	2	22	of	of	ADP
cord-104158-l7s2utqb	2	23	epidemics	epidemic	NOUN
cord-104158-l7s2utqb	2	24	via	via	ADP
cord-104158-l7s2utqb	2	25	an	an	DET
cord-104158-l7s2utqb	2	26	analytical	analytical	ADJ
cord-104158-l7s2utqb	2	27	framework	framework	NOUN
cord-104158-l7s2utqb	2	28	are	be	AUX
cord-104158-l7s2utqb	2	29	largely	largely	ADV
cord-104158-l7s2utqb	2	30	missing	missing	ADJ
cord-104158-l7s2utqb	2	31	.	.	PUNCT
cord-104158-l7s2utqb	3	1	in	in	ADP
cord-104158-l7s2utqb	3	2	this	this	DET
cord-104158-l7s2utqb	3	3	paper	paper	NOUN
cord-104158-l7s2utqb	3	4	,	,	PUNCT
cord-104158-l7s2utqb	3	5	we	we	PRON
cord-104158-l7s2utqb	3	6	consider	consider	VERB
cord-104158-l7s2utqb	3	7	the	the	DET
cord-104158-l7s2utqb	3	8	problem	problem	NOUN
cord-104158-l7s2utqb	3	9	of	of	ADP
cord-104158-l7s2utqb	3	10	determining	determine	VERB
cord-104158-l7s2utqb	3	11	the	the	DET
cord-104158-l7s2utqb	3	12	optimal	optimal	ADJ
cord-104158-l7s2utqb	3	13	policy	policy	NOUN
cord-104158-l7s2utqb	3	14	for	for	ADP
cord-104158-l7s2utqb	3	15	transmission	transmission	NOUN
cord-104158-l7s2utqb	3	16	control	control	NOUN
cord-104158-l7s2utqb	3	17	assuming	assume	VERB
cord-104158-l7s2utqb	3	18	sir	sir	NOUN
cord-104158-l7s2utqb	3	19	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	3	20	,	,	PUNCT
cord-104158-l7s2utqb	3	21	which	which	PRON
cord-104158-l7s2utqb	3	22	is	be	AUX
cord-104158-l7s2utqb	3	23	the	the	DET
cord-104158-l7s2utqb	3	24	most	most	ADV
cord-104158-l7s2utqb	3	25	widely	widely	ADV
cord-104158-l7s2utqb	3	26	used	use	VERB
cord-104158-l7s2utqb	3	27	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	3	28	paradigm	paradigm	NOUN
cord-104158-l7s2utqb	3	29	.	.	PUNCT
cord-104158-l7s2utqb	4	1	we	we	PRON
cord-104158-l7s2utqb	4	2	first	first	ADV
cord-104158-l7s2utqb	4	3	demonstrate	demonstrate	VERB
cord-104158-l7s2utqb	4	4	that	that	SCONJ
cord-104158-l7s2utqb	4	5	the	the	DET
cord-104158-l7s2utqb	4	6	sir	sir	PROPN
cord-104158-l7s2utqb	4	7	model	model	NOUN
cord-104158-l7s2utqb	4	8	with	with	ADP
cord-104158-l7s2utqb	4	9	infectious	infectious	ADJ
cord-104158-l7s2utqb	4	10	patients	patient	NOUN
cord-104158-l7s2utqb	4	11	and	and	CCONJ
cord-104158-l7s2utqb	4	12	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	4	13	contacts	contact	NOUN
cord-104158-l7s2utqb	4	14	(	(	PUNCT
cord-104158-l7s2utqb	4	15	i.e.	i.e.	X
cord-104158-l7s2utqb	4	16	,	,	PUNCT
cord-104158-l7s2utqb	4	17	product	product	NOUN
cord-104158-l7s2utqb	4	18	of	of	ADP
cord-104158-l7s2utqb	4	19	transmission	transmission	NOUN
cord-104158-l7s2utqb	4	20	rate	rate	NOUN
cord-104158-l7s2utqb	4	21	and	and	CCONJ
cord-104158-l7s2utqb	4	22	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	4	23	population	population	NOUN
cord-104158-l7s2utqb	4	24	)	)	PUNCT
cord-104158-l7s2utqb	4	25	interpreted	interpret	VERB
cord-104158-l7s2utqb	4	26	as	as	ADP
cord-104158-l7s2utqb	4	27	predators	predator	NOUN
cord-104158-l7s2utqb	4	28	and	and	CCONJ
cord-104158-l7s2utqb	4	29	prey	prey	NOUN
cord-104158-l7s2utqb	4	30	respectively	respectively	ADV
cord-104158-l7s2utqb	4	31	reduces	reduce	VERB
cord-104158-l7s2utqb	4	32	to	to	ADP
cord-104158-l7s2utqb	4	33	a	a	DET
cord-104158-l7s2utqb	4	34	lotka	lotka	PROPN
cord-104158-l7s2utqb	4	35	-	-	PUNCT
cord-104158-l7s2utqb	4	36	volterra	volterra	PROPN
cord-104158-l7s2utqb	4	37	(	(	PUNCT
cord-104158-l7s2utqb	4	38	lv	lv	PROPN
cord-104158-l7s2utqb	4	39	)	)	PUNCT
cord-104158-l7s2utqb	4	40	predator	predator	NOUN
cord-104158-l7s2utqb	4	41	-	-	PUNCT
cord-104158-l7s2utqb	4	42	prey	prey	NOUN
cord-104158-l7s2utqb	4	43	model	model	NOUN
cord-104158-l7s2utqb	4	44	.	.	PUNCT
cord-104158-l7s2utqb	5	1	the	the	DET
cord-104158-l7s2utqb	5	2	modified	modified	ADJ
cord-104158-l7s2utqb	5	3	sir	sir	NOUN
cord-104158-l7s2utqb	5	4	system	system	NOUN
cord-104158-l7s2utqb	5	5	(	(	PUNCT
cord-104158-l7s2utqb	5	6	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	5	7	)	)	PUNCT
cord-104158-l7s2utqb	5	8	has	have	VERB
cord-104158-l7s2utqb	5	9	a	a	DET
cord-104158-l7s2utqb	5	10	stable	stable	ADJ
cord-104158-l7s2utqb	5	11	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	5	12	point	point	NOUN
cord-104158-l7s2utqb	5	13	,	,	PUNCT
cord-104158-l7s2utqb	5	14	an	an	DET
cord-104158-l7s2utqb	5	15	energy	energy	NOUN
cord-104158-l7s2utqb	5	16	conservation	conservation	NOUN
cord-104158-l7s2utqb	5	17	property	property	NOUN
cord-104158-l7s2utqb	5	18	,	,	PUNCT
cord-104158-l7s2utqb	5	19	and	and	CCONJ
cord-104158-l7s2utqb	5	20	exhibits	exhibit	NOUN
cord-104158-l7s2utqb	5	21	bounded	bound	VERB
cord-104158-l7s2utqb	5	22	cyclic	cyclic	ADJ
cord-104158-l7s2utqb	5	23	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	5	24	similar	similar	ADJ
cord-104158-l7s2utqb	5	25	to	to	ADP
cord-104158-l7s2utqb	5	26	an	an	DET
cord-104158-l7s2utqb	5	27	lv	lv	PROPN
cord-104158-l7s2utqb	5	28	system	system	NOUN
cord-104158-l7s2utqb	5	29	.	.	PUNCT
cord-104158-l7s2utqb	6	1	this	this	DET
cord-104158-l7s2utqb	6	2	mapping	mapping	NOUN
cord-104158-l7s2utqb	6	3	permits	permit	VERB
cord-104158-l7s2utqb	6	4	a	a	DET
cord-104158-l7s2utqb	6	5	theoretical	theoretical	ADJ
cord-104158-l7s2utqb	6	6	analysis	analysis	NOUN
cord-104158-l7s2utqb	6	7	of	of	ADP
cord-104158-l7s2utqb	6	8	the	the	DET
cord-104158-l7s2utqb	6	9	control	control	NOUN
cord-104158-l7s2utqb	6	10	problem	problem	NOUN
cord-104158-l7s2utqb	6	11	supporting	support	VERB
cord-104158-l7s2utqb	6	12	some	some	PRON
cord-104158-l7s2utqb	6	13	of	of	ADP
cord-104158-l7s2utqb	6	14	the	the	DET
cord-104158-l7s2utqb	6	15	recent	recent	ADJ
cord-104158-l7s2utqb	6	16	simulation	simulation	NOUN
cord-104158-l7s2utqb	6	17	-	-	PUNCT
cord-104158-l7s2utqb	6	18	based	base	VERB
cord-104158-l7s2utqb	6	19	studies	study	NOUN
cord-104158-l7s2utqb	6	20	that	that	PRON
cord-104158-l7s2utqb	6	21	point	point	VERB
cord-104158-l7s2utqb	6	22	to	to	ADP
cord-104158-l7s2utqb	6	23	the	the	DET
cord-104158-l7s2utqb	6	24	benefits	benefit	NOUN
cord-104158-l7s2utqb	6	25	of	of	ADP
cord-104158-l7s2utqb	6	26	periodic	periodic	ADJ
cord-104158-l7s2utqb	6	27	interventions	intervention	NOUN
cord-104158-l7s2utqb	6	28	.	.	PUNCT
cord-104158-l7s2utqb	7	1	we	we	PRON
cord-104158-l7s2utqb	7	2	use	use	VERB
cord-104158-l7s2utqb	7	3	a	a	DET
cord-104158-l7s2utqb	7	4	control	control	NOUN
cord-104158-l7s2utqb	7	5	-	-	PUNCT
cord-104158-l7s2utqb	7	6	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	7	7	approach	approach	NOUN
cord-104158-l7s2utqb	7	8	to	to	PART
cord-104158-l7s2utqb	7	9	design	design	VERB
cord-104158-l7s2utqb	7	10	adaptive	adaptive	ADJ
cord-104158-l7s2utqb	7	11	control	control	NOUN
cord-104158-l7s2utqb	7	12	policies	policy	NOUN
cord-104158-l7s2utqb	7	13	(	(	PUNCT
cord-104158-l7s2utqb	7	14	cosir	cosir	PROPN
cord-104158-l7s2utqb	7	15	)	)	PUNCT
cord-104158-l7s2utqb	7	16	to	to	PART
cord-104158-l7s2utqb	7	17	nudge	nudge	VERB
cord-104158-l7s2utqb	7	18	the	the	DET
cord-104158-l7s2utqb	7	19	sir	sir	NOUN
cord-104158-l7s2utqb	7	20	model	model	NOUN
cord-104158-l7s2utqb	7	21	to	to	ADP
cord-104158-l7s2utqb	7	22	the	the	DET
cord-104158-l7s2utqb	7	23	desired	desire	VERB
cord-104158-l7s2utqb	7	24	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	7	25	that	that	PRON
cord-104158-l7s2utqb	7	26	permits	permit	VERB
cord-104158-l7s2utqb	7	27	ready	ready	ADJ
cord-104158-l7s2utqb	7	28	extensions	extension	NOUN
cord-104158-l7s2utqb	7	29	to	to	ADP
cord-104158-l7s2utqb	7	30	richer	rich	ADJ
cord-104158-l7s2utqb	7	31	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	7	32	models	model	NOUN
cord-104158-l7s2utqb	7	33	.	.	PUNCT
cord-104158-l7s2utqb	8	1	we	we	PRON
cord-104158-l7s2utqb	8	2	also	also	ADV
cord-104158-l7s2utqb	8	3	describe	describe	VERB
cord-104158-l7s2utqb	8	4	a	a	DET
cord-104158-l7s2utqb	8	5	practical	practical	ADJ
cord-104158-l7s2utqb	8	6	implementation	implementation	NOUN
cord-104158-l7s2utqb	8	7	of	of	ADP
cord-104158-l7s2utqb	8	8	this	this	DET
cord-104158-l7s2utqb	8	9	transmission	transmission	NOUN
cord-104158-l7s2utqb	8	10	control	control	NOUN
cord-104158-l7s2utqb	8	11	method	method	NOUN
cord-104158-l7s2utqb	8	12	by	by	ADP
cord-104158-l7s2utqb	8	13	approximating	approximate	VERB
cord-104158-l7s2utqb	8	14	the	the	DET
cord-104158-l7s2utqb	8	15	ideal	ideal	ADJ
cord-104158-l7s2utqb	8	16	control	control	NOUN
cord-104158-l7s2utqb	8	17	with	with	ADP
cord-104158-l7s2utqb	8	18	a	a	DET
cord-104158-l7s2utqb	8	19	finite	finite	NOUN
cord-104158-l7s2utqb	8	20	,	,	PUNCT
cord-104158-l7s2utqb	8	21	but	but	CCONJ
cord-104158-l7s2utqb	8	22	a	a	DET
cord-104158-l7s2utqb	8	23	time	time	NOUN
cord-104158-l7s2utqb	8	24	-	-	PUNCT
cord-104158-l7s2utqb	8	25	varying	vary	VERB
cord-104158-l7s2utqb	8	26	set	set	NOUN
cord-104158-l7s2utqb	8	27	of	of	ADP
cord-104158-l7s2utqb	8	28	restriction	restriction	NOUN
cord-104158-l7s2utqb	8	29	levels	level	NOUN
cord-104158-l7s2utqb	8	30	and	and	CCONJ
cord-104158-l7s2utqb	8	31	provide	provide	VERB
cord-104158-l7s2utqb	8	32	simulation	simulation	NOUN
cord-104158-l7s2utqb	8	33	results	result	NOUN
cord-104158-l7s2utqb	8	34	to	to	PART
cord-104158-l7s2utqb	8	35	demonstrate	demonstrate	VERB
cord-104158-l7s2utqb	8	36	its	its	PRON
cord-104158-l7s2utqb	8	37	efficacy	efficacy	NOUN
cord-104158-l7s2utqb	8	38	.	.	PUNCT
cord-104158-l7s2utqb	9	1	the	the	DET
cord-104158-l7s2utqb	9	2	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	9	3	situation	situation	NOUN
cord-104158-l7s2utqb	9	4	and	and	CCONJ
cord-104158-l7s2utqb	9	5	its	its	PRON
cord-104158-l7s2utqb	9	6	immense	immense	ADJ
cord-104158-l7s2utqb	9	7	toll	toll	NOUN
cord-104158-l7s2utqb	9	8	on	on	ADP
cord-104158-l7s2utqb	9	9	human	human	ADJ
cord-104158-l7s2utqb	9	10	lives	life	NOUN
cord-104158-l7s2utqb	9	11	has	have	AUX
cord-104158-l7s2utqb	9	12	highlighted	highlight	VERB
cord-104158-l7s2utqb	9	13	the	the	DET
cord-104158-l7s2utqb	9	14	enormous	enormous	ADJ
cord-104158-l7s2utqb	9	15	public	public	ADJ
cord-104158-l7s2utqb	9	16	health	health	NOUN
cord-104158-l7s2utqb	9	17	challenges	challenge	NOUN
cord-104158-l7s2utqb	9	18	associated	associate	VERB
cord-104158-l7s2utqb	9	19	with	with	ADP
cord-104158-l7s2utqb	9	20	managing	manage	VERB
cord-104158-l7s2utqb	9	21	a	a	DET
cord-104158-l7s2utqb	9	22	pandemic	pandemic	NOUN
cord-104158-l7s2utqb	9	23	.	.	PUNCT
cord-104158-l7s2utqb	10	1	in	in	ADP
cord-104158-l7s2utqb	10	2	the	the	DET
cord-104158-l7s2utqb	10	3	absence	absence	NOUN
cord-104158-l7s2utqb	10	4	of	of	ADP
cord-104158-l7s2utqb	10	5	a	a	DET
cord-104158-l7s2utqb	10	6	vaccine	vaccine	NOUN
cord-104158-l7s2utqb	10	7	,	,	PUNCT
cord-104158-l7s2utqb	10	8	there	there	PRON
cord-104158-l7s2utqb	10	9	are	be	VERB
cord-104158-l7s2utqb	10	10	primarily	primarily	ADV
cord-104158-l7s2utqb	10	11	three	three	NUM
cord-104158-l7s2utqb	10	12	control	control	NOUN
cord-104158-l7s2utqb	10	13	levers	lever	NOUN
cord-104158-l7s2utqb	10	14	available	available	ADJ
cord-104158-l7s2utqb	10	15	for	for	ADP
cord-104158-l7s2utqb	10	16	public	public	ADJ
cord-104158-l7s2utqb	10	17	health	health	NOUN
cord-104158-l7s2utqb	10	18	officials	official	NOUN
cord-104158-l7s2utqb	10	19	,	,	PUNCT
cord-104158-l7s2utqb	10	20	namely	namely	ADV
cord-104158-l7s2utqb	10	21	,	,	PUNCT
cord-104158-l7s2utqb	10	22	(	(	PUNCT
cord-104158-l7s2utqb	10	23	a	a	X
cord-104158-l7s2utqb	10	24	)	)	PUNCT
cord-104158-l7s2utqb	10	25	contact	contact	NOUN
cord-104158-l7s2utqb	10	26	restrictions	restriction	NOUN
cord-104158-l7s2utqb	10	27	,	,	PUNCT
cord-104158-l7s2utqb	10	28	(	(	PUNCT
cord-104158-l7s2utqb	10	29	b	b	X
cord-104158-l7s2utqb	10	30	)	)	PUNCT
cord-104158-l7s2utqb	10	31	testing	testing	NOUN
cord-104158-l7s2utqb	10	32	,	,	PUNCT
cord-104158-l7s2utqb	10	33	tracing	trace	VERB
cord-104158-l7s2utqb	10	34	and	and	CCONJ
cord-104158-l7s2utqb	10	35	isolation	isolation	NOUN
cord-104158-l7s2utqb	10	36	,	,	PUNCT
cord-104158-l7s2utqb	10	37	and	and	CCONJ
cord-104158-l7s2utqb	10	38	(	(	PUNCT
cord-104158-l7s2utqb	10	39	c	c	X
cord-104158-l7s2utqb	10	40	)	)	PUNCT
cord-104158-l7s2utqb	10	41	provisioning	provisioning	NOUN
cord-104158-l7s2utqb	10	42	for	for	ADP
cord-104158-l7s2utqb	10	43	additional	additional	ADJ
cord-104158-l7s2utqb	10	44	medical	medical	ADJ
cord-104158-l7s2utqb	10	45	capacity	capacity	NOUN
cord-104158-l7s2utqb	10	46	.	.	PUNCT
cord-104158-l7s2utqb	11	1	of	of	ADP
cord-104158-l7s2utqb	11	2	these	these	PRON
cord-104158-l7s2utqb	11	3	,	,	PUNCT
cord-104158-l7s2utqb	11	4	contact	contact	NOUN
cord-104158-l7s2utqb	11	5	restrictions	restriction	NOUN
cord-104158-l7s2utqb	11	6	via	via	ADP
cord-104158-l7s2utqb	11	7	lockdowns	lockdown	NOUN
cord-104158-l7s2utqb	11	8	and	and	CCONJ
cord-104158-l7s2utqb	11	9	social	social	ADJ
cord-104158-l7s2utqb	11	10	distancing	distancing	NOUN
cord-104158-l7s2utqb	11	11	have	have	AUX
cord-104158-l7s2utqb	11	12	emerged	emerge	VERB
cord-104158-l7s2utqb	11	13	as	as	ADP
cord-104158-l7s2utqb	11	14	the	the	DET
cord-104158-l7s2utqb	11	15	most	most	ADV
cord-104158-l7s2utqb	11	16	powerful	powerful	ADJ
cord-104158-l7s2utqb	11	17	policy	policy	NOUN
cord-104158-l7s2utqb	11	18	instrument	instrument	NOUN
cord-104158-l7s2utqb	11	19	especially	especially	ADV
cord-104158-l7s2utqb	11	20	in	in	ADP
cord-104158-l7s2utqb	11	21	low	low	ADJ
cord-104158-l7s2utqb	11	22	and	and	CCONJ
cord-104158-l7s2utqb	11	23	middle	middle	ADJ
cord-104158-l7s2utqb	11	24	income	income	NOUN
cord-104158-l7s2utqb	11	25	countries	country	NOUN
cord-104158-l7s2utqb	11	26	that	that	PRON
cord-104158-l7s2utqb	11	27	can	can	AUX
cord-104158-l7s2utqb	11	28	not	not	PART
cord-104158-l7s2utqb	11	29	afford	afford	VERB
cord-104158-l7s2utqb	11	30	to	to	PART
cord-104158-l7s2utqb	11	31	scale	scale	VERB
cord-104158-l7s2utqb	11	32	up	up	ADP
cord-104158-l7s2utqb	11	33	testing	testing	NOUN
cord-104158-l7s2utqb	11	34	or	or	CCONJ
cord-104158-l7s2utqb	11	35	medical	medical	ADJ
cord-104158-l7s2utqb	11	36	capacity	capacity	NOUN
cord-104158-l7s2utqb	11	37	.	.	PUNCT
cord-104158-l7s2utqb	12	1	choosing	choose	VERB
cord-104158-l7s2utqb	12	2	the	the	DET
cord-104158-l7s2utqb	12	3	optimal	optimal	ADJ
cord-104158-l7s2utqb	12	4	level	level	NOUN
cord-104158-l7s2utqb	12	5	of	of	ADP
cord-104158-l7s2utqb	12	6	restrictions	restriction	NOUN
cord-104158-l7s2utqb	12	7	,	,	PUNCT
cord-104158-l7s2utqb	12	8	however	however	ADV
cord-104158-l7s2utqb	12	9	,	,	PUNCT
cord-104158-l7s2utqb	12	10	has	have	AUX
cord-104158-l7s2utqb	12	11	been	be	AUX
cord-104158-l7s2utqb	12	12	highly	highly	ADV
cord-104158-l7s2utqb	12	13	non	non	ADJ
cord-104158-l7s2utqb	12	14	-	-	ADJ
cord-104158-l7s2utqb	12	15	trivial	trivial	ADJ
cord-104158-l7s2utqb	12	16	not	not	PART
cord-104158-l7s2utqb	12	17	only	only	ADV
cord-104158-l7s2utqb	12	18	because	because	SCONJ
cord-104158-l7s2utqb	12	19	it	it	PRON
cord-104158-l7s2utqb	12	20	involves	involve	VERB
cord-104158-l7s2utqb	12	21	a	a	DET
cord-104158-l7s2utqb	12	22	complex	complex	ADJ
cord-104158-l7s2utqb	12	23	trade	trade	NOUN
cord-104158-l7s2utqb	12	24	-	-	PUNCT
cord-104158-l7s2utqb	12	25	off	off	NOUN
cord-104158-l7s2utqb	12	26	between	between	ADP
cord-104158-l7s2utqb	12	27	the	the	DET
cord-104158-l7s2utqb	12	28	yet	yet	ADV
cord-104158-l7s2utqb	12	29	to	to	PART
cord-104158-l7s2utqb	12	30	be	be	AUX
cord-104158-l7s2utqb	12	31	understood	understand	VERB
cord-104158-l7s2utqb	12	32	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	12	33	disease	disease	NOUN
cord-104158-l7s2utqb	12	34	impact	impact	NOUN
cord-104158-l7s2utqb	12	35	and	and	CCONJ
cord-104158-l7s2utqb	12	36	other	other	ADJ
cord-104158-l7s2utqb	12	37	socio	socio	ADJ
cord-104158-l7s2utqb	12	38	-	-	ADJ
cord-104158-l7s2utqb	12	39	economic	economic	ADJ
cord-104158-l7s2utqb	12	40	disruptions	disruption	NOUN
cord-104158-l7s2utqb	12	41	,	,	PUNCT
cord-104158-l7s2utqb	12	42	but	but	CCONJ
cord-104158-l7s2utqb	12	43	also	also	ADV
cord-104158-l7s2utqb	12	44	because	because	SCONJ
cord-104158-l7s2utqb	12	45	of	of	ADP
cord-104158-l7s2utqb	12	46	the	the	DET
cord-104158-l7s2utqb	12	47	rapidly	rapidly	ADV
cord-104158-l7s2utqb	12	48	evolving	evolve	VERB
cord-104158-l7s2utqb	12	49	situation	situation	NOUN
cord-104158-l7s2utqb	12	50	on	on	ADP
cord-104158-l7s2utqb	12	51	the	the	DET
cord-104158-l7s2utqb	12	52	ground	ground	NOUN
cord-104158-l7s2utqb	12	53	.	.	PUNCT
cord-104158-l7s2utqb	13	1	public	public	ADJ
cord-104158-l7s2utqb	13	2	health	health	NOUN
cord-104158-l7s2utqb	13	3	interventions	intervention	NOUN
cord-104158-l7s2utqb	13	4	related	relate	VERB
cord-104158-l7s2utqb	13	5	to	to	ADP
cord-104158-l7s2utqb	13	6	the	the	DET
cord-104158-l7s2utqb	13	7	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	13	8	pandemic	pandemic	NOUN
cord-104158-l7s2utqb	13	9	have	have	AUX
cord-104158-l7s2utqb	13	10	largely	largely	ADV
cord-104158-l7s2utqb	13	11	been	be	AUX
cord-104158-l7s2utqb	13	12	driven	drive	VERB
cord-104158-l7s2utqb	13	13	by	by	ADP
cord-104158-l7s2utqb	13	14	scenariobased	scenariobased	ADJ
cord-104158-l7s2utqb	13	15	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	13	16	forecasting	forecasting	NOUN
cord-104158-l7s2utqb	13	17	studies	study	NOUN
cord-104158-l7s2utqb	13	18	[	[	PUNCT
cord-104158-l7s2utqb	13	19	20	20	NUM
cord-104158-l7s2utqb	13	20	,	,	PUNCT
cord-104158-l7s2utqb	13	21	17	17	NUM
cord-104158-l7s2utqb	13	22	]	]	PUNCT
cord-104158-l7s2utqb	13	23	.	.	PUNCT
cord-104158-l7s2utqb	14	1	current	current	ADJ
cord-104158-l7s2utqb	14	2	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	14	3	models	model	NOUN
cord-104158-l7s2utqb	14	4	[	[	PUNCT
cord-104158-l7s2utqb	14	5	40	40	NUM
cord-104158-l7s2utqb	14	6	,	,	PUNCT
cord-104158-l7s2utqb	14	7	11	11	NUM
cord-104158-l7s2utqb	14	8	,	,	PUNCT
cord-104158-l7s2utqb	14	9	7	7	NUM
cord-104158-l7s2utqb	14	10	]	]	PUNCT
cord-104158-l7s2utqb	14	11	incorporate	incorporate	VERB
cord-104158-l7s2utqb	14	12	spatio	spatio	ADJ
cord-104158-l7s2utqb	14	13	-	-	ADJ
cord-104158-l7s2utqb	14	14	temporal	temporal	ADJ
cord-104158-l7s2utqb	14	15	variations	variation	NOUN
cord-104158-l7s2utqb	14	16	and	and	CCONJ
cord-104158-l7s2utqb	14	17	predictive	predictive	ADJ
cord-104158-l7s2utqb	14	18	signals	signal	NOUN
cord-104158-l7s2utqb	14	19	such	such	ADJ
cord-104158-l7s2utqb	14	20	as	as	ADP
cord-104158-l7s2utqb	14	21	mobility	mobility	NOUN
cord-104158-l7s2utqb	14	22	to	to	PART
cord-104158-l7s2utqb	14	23	provide	provide	VERB
cord-104158-l7s2utqb	14	24	high	high	ADJ
cord-104158-l7s2utqb	14	25	fidelity	fidelity	NOUN
cord-104158-l7s2utqb	14	26	forecasts	forecast	NOUN
cord-104158-l7s2utqb	14	27	.	.	PUNCT
cord-104158-l7s2utqb	15	1	however	however	ADV
cord-104158-l7s2utqb	15	2	,	,	PUNCT
cord-104158-l7s2utqb	15	3	the	the	DET
cord-104158-l7s2utqb	15	4	decision	decision	NOUN
cord-104158-l7s2utqb	15	5	making	make	VERB
cord-104158-l7s2utqb	15	6	on	on	ADP
cord-104158-l7s2utqb	15	7	contact	contact	NOUN
cord-104158-l7s2utqb	15	8	restrictions	restriction	NOUN
cord-104158-l7s2utqb	15	9	is	be	AUX
cord-104158-l7s2utqb	15	10	still	still	ADV
cord-104158-l7s2utqb	15	11	fairly	fairly	ADV
cord-104158-l7s2utqb	15	12	sub	sub	ADJ
cord-104158-l7s2utqb	15	13	-	-	ADJ
cord-104158-l7s2utqb	15	14	optimal	optimal	ADJ
cord-104158-l7s2utqb	15	15	since	since	SCONJ
cord-104158-l7s2utqb	15	16	it	it	PRON
cord-104158-l7s2utqb	15	17	is	be	AUX
cord-104158-l7s2utqb	15	18	based	base	VERB
cord-104158-l7s2utqb	15	19	on	on	ADP
cord-104158-l7s2utqb	15	20	the	the	DET
cord-104158-l7s2utqb	15	21	comparison	comparison	NOUN
cord-104158-l7s2utqb	15	22	of	of	ADP
cord-104158-l7s2utqb	15	23	a	a	DET
cord-104158-l7s2utqb	15	24	few	few	ADJ
cord-104158-l7s2utqb	15	25	enumerated	enumerate	VERB
cord-104158-l7s2utqb	15	26	scenarios	scenario	NOUN
cord-104158-l7s2utqb	15	27	for	for	ADP
cord-104158-l7s2utqb	15	28	a	a	DET
cord-104158-l7s2utqb	15	29	limited	limited	ADJ
cord-104158-l7s2utqb	15	30	time	time	NOUN
cord-104158-l7s2utqb	15	31	horizon	horizon	NOUN
cord-104158-l7s2utqb	15	32	.	.	PUNCT
cord-104158-l7s2utqb	16	1	furthermore	furthermore	ADV
cord-104158-l7s2utqb	16	2	,	,	PUNCT
cord-104158-l7s2utqb	16	3	forecasts	forecast	NOUN
cord-104158-l7s2utqb	16	4	based	base	VERB
cord-104158-l7s2utqb	16	5	on	on	ADP
cord-104158-l7s2utqb	16	6	a	a	DET
cord-104158-l7s2utqb	16	7	constant	constant	ADJ
cord-104158-l7s2utqb	16	8	transmission	transmission	NOUN
cord-104158-l7s2utqb	16	9	rate	rate	NOUN
cord-104158-l7s2utqb	16	10	(	(	PUNCT
cord-104158-l7s2utqb	16	11	i.e.	i.e.	X
cord-104158-l7s2utqb	16	12	,	,	PUNCT
cord-104158-l7s2utqb	16	13	avg	avg	NOUN
cord-104158-l7s2utqb	16	14	.	.	PUNCT
cord-104158-l7s2utqb	17	1	#	#	SYM
cord-104158-l7s2utqb	17	2	new	new	ADJ
cord-104158-l7s2utqb	17	3	people	people	NOUN
cord-104158-l7s2utqb	17	4	directly	directly	ADV
cord-104158-l7s2utqb	17	5	infected	infect	VERB
cord-104158-l7s2utqb	17	6	by	by	ADP
cord-104158-l7s2utqb	17	7	an	an	DET
cord-104158-l7s2utqb	17	8	infectious	infectious	ADJ
cord-104158-l7s2utqb	17	9	person	person	NOUN
cord-104158-l7s2utqb	17	10	per	per	ADP
cord-104158-l7s2utqb	17	11	time	time	NOUN
cord-104158-l7s2utqb	17	12	unit	unit	NOUN
cord-104158-l7s2utqb	17	13	)	)	PUNCT
cord-104158-l7s2utqb	17	14	convey	convey	VERB
cord-104158-l7s2utqb	17	15	the	the	DET
cord-104158-l7s2utqb	17	16	impression	impression	NOUN
cord-104158-l7s2utqb	17	17	that	that	SCONJ
cord-104158-l7s2utqb	17	18	the	the	DET
cord-104158-l7s2utqb	17	19	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	17	20	progression	progression	NOUN
cord-104158-l7s2utqb	17	21	corresponds	correspond	VERB
cord-104158-l7s2utqb	17	22	to	to	ADP
cord-104158-l7s2utqb	17	23	a	a	DET
cord-104158-l7s2utqb	17	24	bell	bell	NOUN
cord-104158-l7s2utqb	17	25	curve	curve	NOUN
cord-104158-l7s2utqb	17	26	[	[	X
cord-104158-l7s2utqb	17	27	40	40	NUM
cord-104158-l7s2utqb	17	28	]	]	PUNCT
cord-104158-l7s2utqb	17	29	regardless	regardless	ADV
cord-104158-l7s2utqb	17	30	of	of	ADP
cord-104158-l7s2utqb	17	31	empirical	empirical	ADJ
cord-104158-l7s2utqb	17	32	evidence	evidence	NOUN
cord-104158-l7s2utqb	17	33	to	to	ADP
cord-104158-l7s2utqb	17	34	the	the	DET
cord-104158-l7s2utqb	17	35	contrary	contrary	NOUN
cord-104158-l7s2utqb	17	36	(	(	PUNCT
cord-104158-l7s2utqb	17	37	see	see	VERB
cord-104158-l7s2utqb	17	38	fig	fig	NOUN
cord-104158-l7s2utqb	17	39	1	1	NUM
cord-104158-l7s2utqb	17	40	)	)	PUNCT
cord-104158-l7s2utqb	17	41	.	.	PUNCT
cord-104158-l7s2utqb	18	1	flattening	flatten	VERB
cord-104158-l7s2utqb	18	2	the	the	DET
cord-104158-l7s2utqb	18	3	curve	curve	NOUN
cord-104158-l7s2utqb	18	4	till	till	SCONJ
cord-104158-l7s2utqb	18	5	herd	herd	NOUN
cord-104158-l7s2utqb	18	6	immunity	immunity	NOUN
cord-104158-l7s2utqb	18	7	is	be	AUX
cord-104158-l7s2utqb	18	8	seen	see	VERB
cord-104158-l7s2utqb	18	9	as	as	ADP
cord-104158-l7s2utqb	18	10	the	the	DET
cord-104158-l7s2utqb	18	11	only	only	ADJ
cord-104158-l7s2utqb	18	12	choice	choice	NOUN
cord-104158-l7s2utqb	18	13	.	.	PUNCT
cord-104158-l7s2utqb	19	1	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	19	2	analysis	analysis	NOUN
cord-104158-l7s2utqb	19	3	is	be	AUX
cord-104158-l7s2utqb	19	4	often	often	ADV
cord-104158-l7s2utqb	19	5	centred	centre	VERB
cord-104158-l7s2utqb	19	6	around	around	ADP
cord-104158-l7s2utqb	19	7	determining	determine	VERB
cord-104158-l7s2utqb	19	8	the	the	DET
cord-104158-l7s2utqb	19	9	height	height	NOUN
cord-104158-l7s2utqb	19	10	and	and	CCONJ
cord-104158-l7s2utqb	19	11	timing	timing	NOUN
cord-104158-l7s2utqb	19	12	of	of	ADP
cord-104158-l7s2utqb	19	13	the	the	DET
cord-104158-l7s2utqb	19	14	caseload	caseload	NOUN
cord-104158-l7s2utqb	19	15	peak	peak	NOUN
cord-104158-l7s2utqb	19	16	as	as	ADV
cord-104158-l7s2utqb	19	17	well	well	ADV
cord-104158-l7s2utqb	19	18	as	as	ADP
cord-104158-l7s2utqb	19	19	the	the	DET
cord-104158-l7s2utqb	19	20	time	time	NOUN
cord-104158-l7s2utqb	19	21	to	to	PART
cord-104158-l7s2utqb	19	22	attain	attain	VERB
cord-104158-l7s2utqb	19	23	herd	herd	NOUN
cord-104158-l7s2utqb	19	24	immunity	immunity	NOUN
cord-104158-l7s2utqb	19	25	.	.	PUNCT
cord-104158-l7s2utqb	20	1	though	though	SCONJ
cord-104158-l7s2utqb	20	2	highly	highly	ADV
cord-104158-l7s2utqb	20	3	valuable	valuable	ADJ
cord-104158-l7s2utqb	20	4	,	,	PUNCT
cord-104158-l7s2utqb	20	5	this	this	DET
cord-104158-l7s2utqb	20	6	scenario	scenario	NOUN
cord-104158-l7s2utqb	20	7	-	-	PUNCT
cord-104158-l7s2utqb	20	8	based	base	VERB
cord-104158-l7s2utqb	20	9	decision	decision	NOUN
cord-104158-l7s2utqb	20	10	-	-	PUNCT
cord-104158-l7s2utqb	20	11	making	make	VERB
cord-104158-l7s2utqb	20	12	approach	approach	NOUN
cord-104158-l7s2utqb	20	13	leans	lean	VERB
cord-104158-l7s2utqb	20	14	towards	towards	ADP
cord-104158-l7s2utqb	20	15	a	a	DET
cord-104158-l7s2utqb	20	16	limited	limited	ADJ
cord-104158-l7s2utqb	20	17	reactive	reactive	ADJ
cord-104158-l7s2utqb	20	18	role	role	NOUN
cord-104158-l7s2utqb	20	19	for	for	ADP
cord-104158-l7s2utqb	20	20	public	public	ADJ
cord-104158-l7s2utqb	20	21	health	health	NOUN
cord-104158-l7s2utqb	20	22	agencies	agency	NOUN
cord-104158-l7s2utqb	20	23	.	.	PUNCT
cord-104158-l7s2utqb	21	1	in	in	ADP
cord-104158-l7s2utqb	21	2	contrast	contrast	NOUN
cord-104158-l7s2utqb	21	3	,	,	PUNCT
cord-104158-l7s2utqb	21	4	much	much	ADV
cord-104158-l7s2utqb	21	5	less	less	ADJ
cord-104158-l7s2utqb	21	6	attention	attention	NOUN
cord-104158-l7s2utqb	21	7	has	have	AUX
cord-104158-l7s2utqb	21	8	been	be	AUX
cord-104158-l7s2utqb	21	9	devoted	devote	VERB
cord-104158-l7s2utqb	21	10	to	to	ADP
cord-104158-l7s2utqb	21	11	developing	develop	VERB
cord-104158-l7s2utqb	21	12	a	a	DET
cord-104158-l7s2utqb	21	13	mathematical	mathematical	ADJ
cord-104158-l7s2utqb	21	14	control	control	NOUN
cord-104158-l7s2utqb	21	15	framework	framework	NOUN
cord-104158-l7s2utqb	21	16	to	to	PART
cord-104158-l7s2utqb	21	17	support	support	VERB
cord-104158-l7s2utqb	21	18	proactive	proactive	ADJ
cord-104158-l7s2utqb	21	19	decision	decision	NOUN
cord-104158-l7s2utqb	21	20	-	-	PUNCT
cord-104158-l7s2utqb	21	21	making	making	NOUN
cord-104158-l7s2utqb	21	22	based	base	VERB
cord-104158-l7s2utqb	21	23	on	on	ADP
cord-104158-l7s2utqb	21	24	the	the	DET
cord-104158-l7s2utqb	21	25	target	target	NOUN
cord-104158-l7s2utqb	21	26	disease	disease	NOUN
cord-104158-l7s2utqb	21	27	&	&	CCONJ
cord-104158-l7s2utqb	21	28	economic	economic	ADJ
cord-104158-l7s2utqb	21	29	outcomes	outcome	NOUN
cord-104158-l7s2utqb	21	30	,	,	PUNCT
cord-104158-l7s2utqb	21	31	and	and	CCONJ
cord-104158-l7s2utqb	21	32	the	the	DET
cord-104158-l7s2utqb	21	33	state	state	NOUN
cord-104158-l7s2utqb	21	34	of	of	ADP
cord-104158-l7s2utqb	21	35	the	the	DET
cord-104158-l7s2utqb	21	36	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	21	37	.	.	PUNCT
cord-104158-l7s2utqb	22	1	multiple	multiple	ADJ
cord-104158-l7s2utqb	22	2	studies	study	NOUN
cord-104158-l7s2utqb	22	3	[	[	PUNCT
cord-104158-l7s2utqb	22	4	16	16	NUM
cord-104158-l7s2utqb	22	5	,	,	PUNCT
cord-104158-l7s2utqb	22	6	29	29	NUM
cord-104158-l7s2utqb	22	7	,	,	PUNCT
cord-104158-l7s2utqb	22	8	13	13	NUM
cord-104158-l7s2utqb	22	9	,	,	PUNCT
cord-104158-l7s2utqb	22	10	41	41	NUM
cord-104158-l7s2utqb	22	11	]	]	PUNCT
cord-104158-l7s2utqb	22	12	point	point	NOUN
cord-104158-l7s2utqb	22	13	to	to	ADP
cord-104158-l7s2utqb	22	14	the	the	DET
cord-104158-l7s2utqb	22	15	benefits	benefit	NOUN
cord-104158-l7s2utqb	22	16	of	of	ADP
cord-104158-l7s2utqb	22	17	periodic	periodic	ADJ
cord-104158-l7s2utqb	22	18	lockdowns	lockdown	NOUN
cord-104158-l7s2utqb	22	19	and	and	CCONJ
cord-104158-l7s2utqb	22	20	staggered	staggered	ADJ
cord-104158-l7s2utqb	22	21	mobility	mobility	NOUN
cord-104158-l7s2utqb	22	22	among	among	ADP
cord-104158-l7s2utqb	22	23	population	population	NOUN
cord-104158-l7s2utqb	22	24	groups	group	NOUN
cord-104158-l7s2utqb	22	25	,	,	PUNCT
cord-104158-l7s2utqb	22	26	but	but	CCONJ
cord-104158-l7s2utqb	22	27	these	these	DET
cord-104158-l7s2utqb	22	28	dynamic	dynamic	ADJ
cord-104158-l7s2utqb	22	29	interventions	intervention	NOUN
cord-104158-l7s2utqb	22	30	are	be	AUX
cord-104158-l7s2utqb	22	31	based	base	VERB
cord-104158-l7s2utqb	22	32	on	on	ADP
cord-104158-l7s2utqb	22	33	forecast	forecast	NOUN
cord-104158-l7s2utqb	22	34	simulations	simulation	NOUN
cord-104158-l7s2utqb	22	35	of	of	ADP
cord-104158-l7s2utqb	22	36	a	a	DET
cord-104158-l7s2utqb	22	37	limited	limited	ADJ
cord-104158-l7s2utqb	22	38	number	number	NOUN
cord-104158-l7s2utqb	22	39	of	of	ADP
cord-104158-l7s2utqb	22	40	scenarios	scenario	NOUN
cord-104158-l7s2utqb	22	41	and	and	CCONJ
cord-104158-l7s2utqb	22	42	are	be	AUX
cord-104158-l7s2utqb	22	43	not	not	PART
cord-104158-l7s2utqb	22	44	adaptive	adaptive	ADJ
cord-104158-l7s2utqb	22	45	in	in	ADP
cord-104158-l7s2utqb	22	46	nature	nature	NOUN
cord-104158-l7s2utqb	22	47	.	.	PUNCT
cord-104158-l7s2utqb	23	1	in	in	ADP
cord-104158-l7s2utqb	23	2	this	this	DET
cord-104158-l7s2utqb	23	3	paper	paper	NOUN
cord-104158-l7s2utqb	23	4	,	,	PUNCT
cord-104158-l7s2utqb	23	5	we	we	PRON
cord-104158-l7s2utqb	23	6	explore	explore	VERB
cord-104158-l7s2utqb	23	7	the	the	DET
cord-104158-l7s2utqb	23	8	problem	problem	NOUN
cord-104158-l7s2utqb	23	9	of	of	ADP
cord-104158-l7s2utqb	23	10	optimal	optimal	ADJ
cord-104158-l7s2utqb	23	11	adaptive	adaptive	ADJ
cord-104158-l7s2utqb	23	12	control	control	NOUN
cord-104158-l7s2utqb	23	13	of	of	ADP
cord-104158-l7s2utqb	23	14	transmission	transmission	NOUN
cord-104158-l7s2utqb	23	15	rate	rate	NOUN
cord-104158-l7s2utqb	23	16	for	for	ADP
cord-104158-l7s2utqb	23	17	a	a	DET
cord-104158-l7s2utqb	23	18	desired	desire	VERB
cord-104158-l7s2utqb	23	19	bound	bind	VERB
cord-104158-l7s2utqb	23	20	on	on	ADP
cord-104158-l7s2utqb	23	21	infectious	infectious	ADJ
cord-104158-l7s2utqb	23	22	population	population	NOUN
cord-104158-l7s2utqb	23	23	.	.	PUNCT
cord-104158-l7s2utqb	24	1	we	we	PRON
cord-104158-l7s2utqb	24	2	focus	focus	VERB
cord-104158-l7s2utqb	24	3	on	on	ADP
cord-104158-l7s2utqb	24	4	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	24	5	models	model	NOUN
cord-104158-l7s2utqb	24	6	based	base	VERB
cord-104158-l7s2utqb	24	7	on	on	ADP
cord-104158-l7s2utqb	24	8	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	24	9	(	(	PUNCT
cord-104158-l7s2utqb	24	10	sir	sir	NOUN
cord-104158-l7s2utqb	24	11	and	and	CCONJ
cord-104158-l7s2utqb	24	12	seir	seir	NOUN
cord-104158-l7s2utqb	24	13	)	)	PUNCT
cord-104158-l7s2utqb	24	14	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	24	15	[	[	X
cord-104158-l7s2utqb	24	16	28	28	NUM
cord-104158-l7s2utqb	24	17	]	]	PUNCT
cord-104158-l7s2utqb	24	18	because	because	SCONJ
cord-104158-l7s2utqb	24	19	of	of	ADP
cord-104158-l7s2utqb	24	20	their	their	PRON
cord-104158-l7s2utqb	24	21	wide	wide	ADJ
cord-104158-l7s2utqb	24	22	applicability	applicability	NOUN
cord-104158-l7s2utqb	24	23	,	,	PUNCT
cord-104158-l7s2utqb	24	24	parsimonious	parsimonious	ADJ
cord-104158-l7s2utqb	24	25	&	&	CCONJ
cord-104158-l7s2utqb	24	26	interpretable	interpretable	PROPN
cord-104158-l7s2utqb	24	27	encoding	encoding	PROPN
cord-104158-l7s2utqb	24	28	of	of	ADP
cord-104158-l7s2utqb	24	29	the	the	DET
cord-104158-l7s2utqb	24	30	disease	disease	NOUN
cord-104158-l7s2utqb	24	31	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	24	32	,	,	PUNCT
cord-104158-l7s2utqb	24	33	and	and	CCONJ
cord-104158-l7s2utqb	24	34	amenability	amenability	NOUN
cord-104158-l7s2utqb	24	35	for	for	ADP
cord-104158-l7s2utqb	24	36	data	data	NOUN
cord-104158-l7s2utqb	24	37	-	-	PUNCT
cord-104158-l7s2utqb	24	38	driven	drive	VERB
cord-104158-l7s2utqb	24	39	calibration	calibration	NOUN
cord-104158-l7s2utqb	24	40	to	to	PART
cord-104158-l7s2utqb	24	41	yield	yield	VERB
cord-104158-l7s2utqb	24	42	accurate	accurate	ADJ
cord-104158-l7s2utqb	24	43	forecasts	forecast	NOUN
cord-104158-l7s2utqb	24	44	.	.	PUNCT
cord-104158-l7s2utqb	25	1	•	•	PUNCT
cord-104158-l7s2utqb	25	2	we	we	PRON
cord-104158-l7s2utqb	25	3	demonstrate	demonstrate	VERB
cord-104158-l7s2utqb	25	4	that	that	SCONJ
cord-104158-l7s2utqb	25	5	the	the	DET
cord-104158-l7s2utqb	25	6	sir	sir	PROPN
cord-104158-l7s2utqb	25	7	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	25	8	map	map	VERB
cord-104158-l7s2utqb	25	9	to	to	ADP
cord-104158-l7s2utqb	25	10	the	the	DET
cord-104158-l7s2utqb	25	11	well	well	ADV
cord-104158-l7s2utqb	25	12	-	-	PUNCT
cord-104158-l7s2utqb	25	13	known	know	VERB
cord-104158-l7s2utqb	25	14	lotka	lotka	PROPN
cord-104158-l7s2utqb	25	15	-	-	PUNCT
cord-104158-l7s2utqb	25	16	volterra	volterra	PROPN
cord-104158-l7s2utqb	25	17	(	(	PUNCT
cord-104158-l7s2utqb	25	18	lv	lv	PROPN
cord-104158-l7s2utqb	25	19	)	)	PUNCT
cord-104158-l7s2utqb	25	20	system	system	NOUN
cord-104158-l7s2utqb	25	21	[	[	PUNCT
cord-104158-l7s2utqb	25	22	8	8	NUM
cord-104158-l7s2utqb	25	23	]	]	PUNCT
cord-104158-l7s2utqb	25	24	on	on	ADP
cord-104158-l7s2utqb	25	25	interpreting	interpret	VERB
cord-104158-l7s2utqb	25	26	infectious	infectious	ADJ
cord-104158-l7s2utqb	25	27	patients	patient	NOUN
cord-104158-l7s2utqb	25	28	as	as	ADP
cord-104158-l7s2utqb	25	29	predators	predator	NOUN
cord-104158-l7s2utqb	25	30	and	and	CCONJ
cord-104158-l7s2utqb	25	31	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	25	32	contacts	contact	NOUN
cord-104158-l7s2utqb	25	33	(	(	PUNCT
cord-104158-l7s2utqb	25	34	i.e.	i.e.	X
cord-104158-l7s2utqb	25	35	,	,	PUNCT
cord-104158-l7s2utqb	25	36	the	the	DET
cord-104158-l7s2utqb	25	37	product	product	NOUN
cord-104158-l7s2utqb	25	38	of	of	ADP
cord-104158-l7s2utqb	25	39	transmission	transmission	NOUN
cord-104158-l7s2utqb	25	40	rate	rate	NOUN
cord-104158-l7s2utqb	25	41	and	and	CCONJ
cord-104158-l7s2utqb	25	42	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	25	43	population	population	NOUN
cord-104158-l7s2utqb	25	44	)	)	PUNCT
cord-104158-l7s2utqb	25	45	as	as	ADP
cord-104158-l7s2utqb	25	46	the	the	DET
cord-104158-l7s2utqb	25	47	prey	prey	NOUN
cord-104158-l7s2utqb	25	48	under	under	ADP
cord-104158-l7s2utqb	25	49	specific	specific	ADJ
cord-104158-l7s2utqb	25	50	conditions	condition	NOUN
cord-104158-l7s2utqb	25	51	on	on	ADP
cord-104158-l7s2utqb	25	52	the	the	DET
cord-104158-l7s2utqb	25	53	transmission	transmission	NOUN
cord-104158-l7s2utqb	25	54	rate	rate	NOUN
cord-104158-l7s2utqb	25	55	.	.	PUNCT
cord-104158-l7s2utqb	26	1	the	the	DET
cord-104158-l7s2utqb	26	2	resulting	result	VERB
cord-104158-l7s2utqb	26	3	system	system	NOUN
cord-104158-l7s2utqb	26	4	(	(	PUNCT
cord-104158-l7s2utqb	26	5	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	26	6	)	)	PUNCT
cord-104158-l7s2utqb	26	7	has	have	VERB
cord-104158-l7s2utqb	26	8	a	a	DET
cord-104158-l7s2utqb	26	9	well	well	ADV
cord-104158-l7s2utqb	26	10	-	-	PUNCT
cord-104158-l7s2utqb	26	11	defined	define	VERB
cord-104158-l7s2utqb	26	12	stable	stable	ADJ
cord-104158-l7s2utqb	26	13	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	26	14	point	point	NOUN
cord-104158-l7s2utqb	26	15	and	and	CCONJ
cord-104158-l7s2utqb	26	16	an	an	DET
cord-104158-l7s2utqb	26	17	"	"	PUNCT
cord-104158-l7s2utqb	26	18	energy	energy	NOUN
cord-104158-l7s2utqb	26	19	"	"	PUNCT
cord-104158-l7s2utqb	26	20	conservation	conservation	NOUN
cord-104158-l7s2utqb	26	21	property	property	NOUN
cord-104158-l7s2utqb	26	22	.	.	PUNCT
cord-104158-l7s2utqb	27	1	it	it	PRON
cord-104158-l7s2utqb	27	2	exhibits	exhibit	VERB
cord-104158-l7s2utqb	27	3	a	a	DET
cord-104158-l7s2utqb	27	4	bounded	bound	VERB
cord-104158-l7s2utqb	27	5	cyclic	cyclic	ADJ
cord-104158-l7s2utqb	27	6	trend	trend	NOUN
cord-104158-l7s2utqb	27	7	for	for	ADP
cord-104158-l7s2utqb	27	8	active	active	ADJ
cord-104158-l7s2utqb	27	9	infections	infection	NOUN
cord-104158-l7s2utqb	27	10	and	and	CCONJ
cord-104158-l7s2utqb	27	11	a	a	DET
cord-104158-l7s2utqb	27	12	steady	steady	ADJ
cord-104158-l7s2utqb	27	13	decline	decline	NOUN
cord-104158-l7s2utqb	27	14	of	of	ADP
cord-104158-l7s2utqb	27	15	the	the	DET
cord-104158-l7s2utqb	27	16	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	27	17	population	population	NOUN
cord-104158-l7s2utqb	27	18	.	.	PUNCT
cord-104158-l7s2utqb	28	1	•	•	PUNCT
cord-104158-l7s2utqb	28	2	we	we	PRON
cord-104158-l7s2utqb	28	3	derive	derive	VERB
cord-104158-l7s2utqb	28	4	optimal	optimal	ADJ
cord-104158-l7s2utqb	28	5	control	control	NOUN
cord-104158-l7s2utqb	28	6	policy	policy	NOUN
cord-104158-l7s2utqb	28	7	for	for	ADP
cord-104158-l7s2utqb	28	8	transmission	transmission	NOUN
cord-104158-l7s2utqb	28	9	rate	rate	NOUN
cord-104158-l7s2utqb	28	10	(	(	PUNCT
cord-104158-l7s2utqb	28	11	cosir	cosir	PROPN
cord-104158-l7s2utqb	28	12	)	)	PUNCT
cord-104158-l7s2utqb	28	13	using	use	VERB
cord-104158-l7s2utqb	28	14	control	control	NOUN
cord-104158-l7s2utqb	28	15	-	-	PUNCT
cord-104158-l7s2utqb	28	16	lyapunov	lyapunov	NOUN
cord-104158-l7s2utqb	28	17	functions	function	NOUN
cord-104158-l7s2utqb	29	1	[	[	X
cord-104158-l7s2utqb	29	2	45	45	NUM
cord-104158-l7s2utqb	29	3	]	]	PUNCT
cord-104158-l7s2utqb	29	4	based	base	VERB
cord-104158-l7s2utqb	29	5	on	on	ADP
cord-104158-l7s2utqb	29	6	the	the	DET
cord-104158-l7s2utqb	29	7	energy	energy	NOUN
cord-104158-l7s2utqb	29	8	of	of	ADP
cord-104158-l7s2utqb	29	9	the	the	DET
cord-104158-l7s2utqb	29	10	system	system	NOUN
cord-104158-l7s2utqb	29	11	,	,	PUNCT
cord-104158-l7s2utqb	29	12	that	that	PRON
cord-104158-l7s2utqb	29	13	is	be	AUX
cord-104158-l7s2utqb	29	14	guaranteed	guarantee	VERB
cord-104158-l7s2utqb	29	15	to	to	PART
cord-104158-l7s2utqb	29	16	converge	converge	VERB
cord-104158-l7s2utqb	29	17	to	to	ADP
cord-104158-l7s2utqb	29	18	the	the	DET
cord-104158-l7s2utqb	29	19	desired	desire	VERB
cord-104158-l7s2utqb	29	20	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	29	21	,	,	PUNCT
cord-104158-l7s2utqb	29	22	i.e.	i.e.	X
cord-104158-l7s2utqb	29	23	,	,	PUNCT
cord-104158-l7s2utqb	29	24	target	target	NOUN
cord-104158-l7s2utqb	29	25	infectious	infectious	ADJ
cord-104158-l7s2utqb	29	26	levels	level	NOUN
cord-104158-l7s2utqb	29	27	from	from	ADP
cord-104158-l7s2utqb	29	28	any	any	DET
cord-104158-l7s2utqb	29	29	valid	valid	ADJ
cord-104158-l7s2utqb	29	30	initial	initial	ADJ
cord-104158-l7s2utqb	29	31	state	state	NOUN
cord-104158-l7s2utqb	29	32	.	.	PUNCT
cord-104158-l7s2utqb	30	1	we	we	PRON
cord-104158-l7s2utqb	30	2	also	also	ADV
cord-104158-l7s2utqb	30	3	discuss	discuss	VERB
cord-104158-l7s2utqb	30	4	extensions	extension	NOUN
cord-104158-l7s2utqb	30	5	to	to	ADP
cord-104158-l7s2utqb	30	6	compartmental	compartmental	VERB
cord-104158-l7s2utqb	30	7	model	model	NOUN
cord-104158-l7s2utqb	30	8	variants	variant	NOUN
cord-104158-l7s2utqb	30	9	that	that	PRON
cord-104158-l7s2utqb	30	10	involve	involve	VERB
cord-104158-l7s2utqb	30	11	an	an	DET
cord-104158-l7s2utqb	30	12	incubation	incubation	NOUN
cord-104158-l7s2utqb	30	13	period	period	NOUN
cord-104158-l7s2utqb	30	14	(	(	PUNCT
cord-104158-l7s2utqb	30	15	e.g.	e.g.	ADV
cord-104158-l7s2utqb	30	16	,	,	PUNCT
cord-104158-l7s2utqb	30	17	delayed	delay	VERB
cord-104158-l7s2utqb	30	18	sir	sir	PROPN
cord-104158-l7s2utqb	30	19	,	,	PUNCT
cord-104158-l7s2utqb	30	20	seir	seir	NOUN
cord-104158-l7s2utqb	30	21	)	)	PUNCT
cord-104158-l7s2utqb	30	22	as	as	ADV
cord-104158-l7s2utqb	30	23	well	well	ADV
cord-104158-l7s2utqb	30	24	as	as	ADP
cord-104158-l7s2utqb	30	25	control	control	NOUN
cord-104158-l7s2utqb	30	26	of	of	ADP
cord-104158-l7s2utqb	30	27	the	the	DET
cord-104158-l7s2utqb	30	28	infectious	infectious	ADJ
cord-104158-l7s2utqb	30	29	period	period	NOUN
cord-104158-l7s2utqb	30	30	that	that	PRON
cord-104158-l7s2utqb	30	31	is	be	AUX
cord-104158-l7s2utqb	30	32	influenced	influence	VERB
cord-104158-l7s2utqb	30	33	by	by	ADP
cord-104158-l7s2utqb	30	34	testing	testing	NOUN
cord-104158-l7s2utqb	30	35	and	and	CCONJ
cord-104158-l7s2utqb	30	36	quarantine	quarantine	NOUN
cord-104158-l7s2utqb	30	37	policy	policy	NOUN
cord-104158-l7s2utqb	30	38	.	.	PUNCT
cord-104158-l7s2utqb	31	1	•	•	PUNCT
cord-104158-l7s2utqb	31	2	we	we	PRON
cord-104158-l7s2utqb	31	3	propose	propose	VERB
cord-104158-l7s2utqb	31	4	a	a	DET
cord-104158-l7s2utqb	31	5	practical	practical	ADJ
cord-104158-l7s2utqb	31	6	approximate	approximate	ADJ
cord-104158-l7s2utqb	31	7	implementation	implementation	NOUN
cord-104158-l7s2utqb	31	8	of	of	ADP
cord-104158-l7s2utqb	31	9	the	the	DET
cord-104158-l7s2utqb	31	10	transmission	transmission	NOUN
cord-104158-l7s2utqb	31	11	rate	rate	NOUN
cord-104158-l7s2utqb	31	12	control	control	NOUN
cord-104158-l7s2utqb	31	13	via	via	ADP
cord-104158-l7s2utqb	31	14	discrete	discrete	ADJ
cord-104158-l7s2utqb	31	15	,	,	PUNCT
cord-104158-l7s2utqb	31	16	but	but	CCONJ
cord-104158-l7s2utqb	31	17	time	time	NOUN
cord-104158-l7s2utqb	31	18	-	-	PUNCT
cord-104158-l7s2utqb	31	19	varying	vary	VERB
cord-104158-l7s2utqb	31	20	restriction	restriction	NOUN
cord-104158-l7s2utqb	31	21	levels	level	NOUN
cord-104158-l7s2utqb	31	22	.	.	PUNCT
cord-104158-l7s2utqb	32	1	simulation	simulation	NOUN
cord-104158-l7s2utqb	32	2	results	result	NOUN
cord-104158-l7s2utqb	32	3	demonstrate	demonstrate	VERB
cord-104158-l7s2utqb	32	4	the	the	DET
cord-104158-l7s2utqb	32	5	efficacy	efficacy	NOUN
cord-104158-l7s2utqb	32	6	of	of	ADP
cord-104158-l7s2utqb	32	7	the	the	DET
cord-104158-l7s2utqb	32	8	approximate	approximate	ADJ
cord-104158-l7s2utqb	32	9	control	control	NOUN
cord-104158-l7s2utqb	32	10	in	in	ADP
cord-104158-l7s2utqb	32	11	stabilizing	stabilize	VERB
cord-104158-l7s2utqb	32	12	infections	infection	NOUN
cord-104158-l7s2utqb	32	13	and	and	CCONJ
cord-104158-l7s2utqb	32	14	adaptability	adaptability	NOUN
cord-104158-l7s2utqb	32	15	to	to	ADP
cord-104158-l7s2utqb	32	16	perturbations	perturbation	NOUN
cord-104158-l7s2utqb	32	17	from	from	ADP
cord-104158-l7s2utqb	32	18	super	super	ADJ
cord-104158-l7s2utqb	32	19	-	-	ADJ
cord-104158-l7s2utqb	32	20	spreader	spreader	ADJ
cord-104158-l7s2utqb	32	21	events	event	NOUN
cord-104158-l7s2utqb	32	22	2	2	NUM
cord-104158-l7s2utqb	32	23	.	.	PUNCT
cord-104158-l7s2utqb	33	1	the	the	DET
cord-104158-l7s2utqb	33	2	rest	rest	NOUN
cord-104158-l7s2utqb	33	3	of	of	ADP
cord-104158-l7s2utqb	33	4	the	the	DET
cord-104158-l7s2utqb	33	5	paper	paper	NOUN
cord-104158-l7s2utqb	33	6	is	be	AUX
cord-104158-l7s2utqb	33	7	organized	organize	VERB
cord-104158-l7s2utqb	33	8	as	as	SCONJ
cord-104158-l7s2utqb	33	9	follows	follow	VERB
cord-104158-l7s2utqb	33	10	.	.	PUNCT
cord-104158-l7s2utqb	34	1	section	section	NOUN
cord-104158-l7s2utqb	34	2	2	2	NUM
cord-104158-l7s2utqb	34	3	presents	present	VERB
cord-104158-l7s2utqb	34	4	a	a	DET
cord-104158-l7s2utqb	34	5	formulation	formulation	NOUN
cord-104158-l7s2utqb	34	6	of	of	ADP
cord-104158-l7s2utqb	34	7	the	the	DET
cord-104158-l7s2utqb	34	8	restriction	restriction	NOUN
cord-104158-l7s2utqb	34	9	control	control	NOUN
cord-104158-l7s2utqb	34	10	problem	problem	NOUN
cord-104158-l7s2utqb	34	11	.	.	PUNCT
cord-104158-l7s2utqb	35	1	section	section	NOUN
cord-104158-l7s2utqb	35	2	3	3	NUM
cord-104158-l7s2utqb	35	3	provides	provide	VERB
cord-104158-l7s2utqb	35	4	background	background	NOUN
cord-104158-l7s2utqb	35	5	on	on	ADP
cord-104158-l7s2utqb	35	6	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	35	7	models	model	NOUN
cord-104158-l7s2utqb	35	8	,	,	PUNCT
cord-104158-l7s2utqb	35	9	lv	lv	PROPN
cord-104158-l7s2utqb	35	10	systems	system	NOUN
cord-104158-l7s2utqb	35	11	and	and	CCONJ
cord-104158-l7s2utqb	35	12	relevant	relevant	ADJ
cord-104158-l7s2utqb	35	13	aspects	aspect	NOUN
cord-104158-l7s2utqb	35	14	of	of	ADP
cord-104158-l7s2utqb	35	15	control	control	NOUN
cord-104158-l7s2utqb	35	16	theory	theory	NOUN
cord-104158-l7s2utqb	35	17	.	.	PUNCT
cord-104158-l7s2utqb	36	1	sections	section	NOUN
cord-104158-l7s2utqb	36	2	4	4	NUM
cord-104158-l7s2utqb	36	3	,	,	PUNCT
cord-104158-l7s2utqb	36	4	5	5	NUM
cord-104158-l7s2utqb	36	5	,	,	PUNCT
cord-104158-l7s2utqb	36	6	6	6	NUM
cord-104158-l7s2utqb	36	7	,	,	PUNCT
cord-104158-l7s2utqb	36	8	7	7	NUM
cord-104158-l7s2utqb	36	9	present	present	VERB
cord-104158-l7s2utqb	36	10	the	the	DET
cord-104158-l7s2utqb	36	11	sir	sir	NOUN
cord-104158-l7s2utqb	36	12	to	to	ADP
cord-104158-l7s2utqb	36	13	lv	lv	PROPN
cord-104158-l7s2utqb	36	14	system	system	PROPN
cord-104158-l7s2utqb	36	15	mapping	mapping	NOUN
cord-104158-l7s2utqb	36	16	,	,	PUNCT
cord-104158-l7s2utqb	36	17	the	the	DET
cord-104158-l7s2utqb	36	18	transmission	transmission	NOUN
cord-104158-l7s2utqb	36	19	rate	rate	NOUN
cord-104158-l7s2utqb	36	20	control	control	NOUN
cord-104158-l7s2utqb	36	21	mechanism	mechanism	NOUN
cord-104158-l7s2utqb	36	22	,	,	PUNCT
cord-104158-l7s2utqb	36	23	practical	practical	ADJ
cord-104158-l7s2utqb	36	24	restriction	restriction	NOUN
cord-104158-l7s2utqb	36	25	control	control	NOUN
cord-104158-l7s2utqb	36	26	policy	policy	NOUN
cord-104158-l7s2utqb	36	27	,	,	PUNCT
cord-104158-l7s2utqb	36	28	and	and	CCONJ
cord-104158-l7s2utqb	36	29	extensions	extension	NOUN
cord-104158-l7s2utqb	36	30	respectively	respectively	ADV
cord-104158-l7s2utqb	36	31	.	.	PUNCT
cord-104158-l7s2utqb	37	1	section	section	NOUN
cord-104158-l7s2utqb	37	2	8	8	NUM
cord-104158-l7s2utqb	37	3	presents	present	VERB
cord-104158-l7s2utqb	37	4	the	the	DET
cord-104158-l7s2utqb	37	5	concluding	conclude	VERB
cord-104158-l7s2utqb	37	6	remarks	remark	NOUN
cord-104158-l7s2utqb	37	7	.	.	PUNCT
cord-104158-l7s2utqb	38	1	notation	notation	NOUN
cord-104158-l7s2utqb	38	2	:	:	PUNCT
cord-104158-l7s2utqb	38	3	x	x	PUNCT
cord-104158-l7s2utqb	38	4	t	t	PROPN
cord-104158-l7s2utqb	38	5	and	and	CCONJ
cord-104158-l7s2utqb	38	6	x(t	x(t	PROPN
cord-104158-l7s2utqb	38	7	)	)	PUNCT
cord-104158-l7s2utqb	38	8	interchangeably	interchangeably	PROPN
cord-104158-l7s2utqb	38	9	denote	denote	VERB
cord-104158-l7s2utqb	38	10	the	the	DET
cord-104158-l7s2utqb	38	11	value	value	NOUN
cord-104158-l7s2utqb	38	12	of	of	ADP
cord-104158-l7s2utqb	38	13	a	a	DET
cord-104158-l7s2utqb	38	14	variable	variable	NOUN
cord-104158-l7s2utqb	38	15	x	x	NOUN
cord-104158-l7s2utqb	38	16	at	at	ADP
cord-104158-l7s2utqb	38	17	time	time	NOUN
cord-104158-l7s2utqb	38	18	t.	t.	PROPN
cord-104158-l7s2utqb	38	19	time	time	PROPN
cord-104158-l7s2utqb	38	20	derivative	derivative	NOUN
cord-104158-l7s2utqb	38	21	of	of	ADP
cord-104158-l7s2utqb	38	22	t1	t1	PROPN
cord-104158-l7s2utqb	38	23	denotes	denote	VERB
cord-104158-l7s2utqb	38	24	the	the	DET
cord-104158-l7s2utqb	38	25	series	series	NOUN
cord-104158-l7s2utqb	38	26	of	of	ADP
cord-104158-l7s2utqb	38	27	x	x	PROPN
cord-104158-l7s2utqb	38	28	as	as	SCONJ
cord-104158-l7s2utqb	38	29	t	t	NOUN
cord-104158-l7s2utqb	38	30	varies	vary	VERB
cord-104158-l7s2utqb	38	31	from	from	ADP
cord-104158-l7s2utqb	38	32	t	t	PROPN
cord-104158-l7s2utqb	38	33	1	1	NUM
cord-104158-l7s2utqb	38	34	to	to	ADP
cord-104158-l7s2utqb	38	35	t	t	PROPN
cord-104158-l7s2utqb	38	36	2	2	NUM
cord-104158-l7s2utqb	38	37	.	.	PUNCT
cord-104158-l7s2utqb	39	1	during	during	ADP
cord-104158-l7s2utqb	39	2	an	an	DET
cord-104158-l7s2utqb	39	3	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	39	4	,	,	PUNCT
cord-104158-l7s2utqb	39	5	a	a	DET
cord-104158-l7s2utqb	39	6	key	key	ADJ
cord-104158-l7s2utqb	39	7	concern	concern	NOUN
cord-104158-l7s2utqb	39	8	for	for	ADP
cord-104158-l7s2utqb	39	9	public	public	ADJ
cord-104158-l7s2utqb	39	10	health	health	NOUN
cord-104158-l7s2utqb	39	11	officials	official	NOUN
cord-104158-l7s2utqb	39	12	is	be	AUX
cord-104158-l7s2utqb	39	13	to	to	PART
cord-104158-l7s2utqb	39	14	determine	determine	VERB
cord-104158-l7s2utqb	39	15	the	the	DET
cord-104158-l7s2utqb	39	16	right	right	ADJ
cord-104158-l7s2utqb	39	17	level	level	NOUN
cord-104158-l7s2utqb	39	18	and	and	CCONJ
cord-104158-l7s2utqb	39	19	schedule	schedule	NOUN
cord-104158-l7s2utqb	39	20	of	of	ADP
cord-104158-l7s2utqb	39	21	contact	contact	NOUN
cord-104158-l7s2utqb	39	22	restrictions	restriction	NOUN
cord-104158-l7s2utqb	39	23	that	that	PRON
cord-104158-l7s2utqb	39	24	balances	balance	VERB
cord-104158-l7s2utqb	39	25	the	the	DET
cord-104158-l7s2utqb	39	26	disease	disease	NOUN
cord-104158-l7s2utqb	39	27	and	and	CCONJ
cord-104158-l7s2utqb	39	28	socioeconomic	socioeconomic	ADJ
cord-104158-l7s2utqb	39	29	burdens	burden	NOUN
cord-104158-l7s2utqb	39	30	.	.	PUNCT
cord-104158-l7s2utqb	40	1	strict	strict	ADJ
cord-104158-l7s2utqb	40	2	lockdown	lockdown	NOUN
cord-104158-l7s2utqb	40	3	conditions	condition	NOUN
cord-104158-l7s2utqb	40	4	for	for	ADP
cord-104158-l7s2utqb	40	5	a	a	DET
cord-104158-l7s2utqb	40	6	short	short	ADJ
cord-104158-l7s2utqb	40	7	time	time	NOUN
cord-104158-l7s2utqb	40	8	period	period	NOUN
cord-104158-l7s2utqb	40	9	suppress	suppress	VERB
cord-104158-l7s2utqb	40	10	the	the	DET
cord-104158-l7s2utqb	40	11	infection	infection	NOUN
cord-104158-l7s2utqb	40	12	levels	level	NOUN
cord-104158-l7s2utqb	40	13	,	,	PUNCT
cord-104158-l7s2utqb	40	14	but	but	CCONJ
cord-104158-l7s2utqb	40	15	infections	infection	NOUN
cord-104158-l7s2utqb	40	16	tend	tend	VERB
cord-104158-l7s2utqb	40	17	to	to	PART
cord-104158-l7s2utqb	40	18	flare	flare	VERB
cord-104158-l7s2utqb	40	19	up	up	ADP
cord-104158-l7s2utqb	40	20	again	again	ADV
cord-104158-l7s2utqb	40	21	on	on	ADP
cord-104158-l7s2utqb	40	22	easing	ease	VERB
cord-104158-l7s2utqb	40	23	restrictions	restriction	NOUN
cord-104158-l7s2utqb	40	24	unless	unless	SCONJ
cord-104158-l7s2utqb	40	25	the	the	DET
cord-104158-l7s2utqb	40	26	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	40	27	is	be	AUX
cord-104158-l7s2utqb	40	28	completely	completely	ADV
cord-104158-l7s2utqb	40	29	wiped	wipe	VERB
cord-104158-l7s2utqb	40	30	out	out	ADP
cord-104158-l7s2utqb	40	31	.	.	PUNCT
cord-104158-l7s2utqb	41	1	on	on	ADP
cord-104158-l7s2utqb	41	2	the	the	DET
cord-104158-l7s2utqb	41	3	other	other	ADJ
cord-104158-l7s2utqb	41	4	hand	hand	NOUN
cord-104158-l7s2utqb	41	5	,	,	PUNCT
cord-104158-l7s2utqb	41	6	prolonged	prolong	VERB
cord-104158-l7s2utqb	41	7	restrictions	restriction	NOUN
cord-104158-l7s2utqb	41	8	with	with	ADP
cord-104158-l7s2utqb	41	9	no	no	DET
cord-104158-l7s2utqb	41	10	intermittent	intermittent	ADJ
cord-104158-l7s2utqb	41	11	easing	easing	NOUN
cord-104158-l7s2utqb	41	12	hinder	hinder	VERB
cord-104158-l7s2utqb	41	13	economic	economic	ADJ
cord-104158-l7s2utqb	41	14	activity	activity	NOUN
cord-104158-l7s2utqb	41	15	and	and	CCONJ
cord-104158-l7s2utqb	41	16	impose	impose	VERB
cord-104158-l7s2utqb	41	17	heavy	heavy	ADJ
cord-104158-l7s2utqb	41	18	costs	cost	NOUN
cord-104158-l7s2utqb	41	19	on	on	ADP
cord-104158-l7s2utqb	41	20	vulnerable	vulnerable	ADJ
cord-104158-l7s2utqb	41	21	population	population	NOUN
cord-104158-l7s2utqb	41	22	groups	group	NOUN
cord-104158-l7s2utqb	41	23	.	.	PUNCT
cord-104158-l7s2utqb	42	1	furthermore	furthermore	ADV
cord-104158-l7s2utqb	42	2	,	,	PUNCT
cord-104158-l7s2utqb	42	3	progressive	progressive	ADJ
cord-104158-l7s2utqb	42	4	reduction	reduction	NOUN
cord-104158-l7s2utqb	42	5	in	in	ADP
cord-104158-l7s2utqb	42	6	the	the	DET
cord-104158-l7s2utqb	42	7	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	42	8	population	population	NOUN
cord-104158-l7s2utqb	42	9	offers	offer	VERB
cord-104158-l7s2utqb	42	10	a	a	DET
cord-104158-l7s2utqb	42	11	chance	chance	NOUN
cord-104158-l7s2utqb	42	12	for	for	ADP
cord-104158-l7s2utqb	42	13	relaxation	relaxation	NOUN
cord-104158-l7s2utqb	42	14	of	of	ADP
cord-104158-l7s2utqb	42	15	restrictions	restriction	NOUN
cord-104158-l7s2utqb	42	16	that	that	PRON
cord-104158-l7s2utqb	42	17	needs	need	VERB
cord-104158-l7s2utqb	42	18	to	to	PART
cord-104158-l7s2utqb	42	19	be	be	AUX
cord-104158-l7s2utqb	42	20	exploited	exploit	VERB
cord-104158-l7s2utqb	42	21	.	.	PUNCT
cord-104158-l7s2utqb	43	1	modelling	model	VERB
cord-104158-l7s2utqb	43	2	the	the	DET
cord-104158-l7s2utqb	43	3	multi	multi	ADJ
cord-104158-l7s2utqb	43	4	-	-	ADJ
cord-104158-l7s2utqb	43	5	faceted	faceted	ADJ
cord-104158-l7s2utqb	43	6	impact	impact	NOUN
cord-104158-l7s2utqb	43	7	of	of	ADP
cord-104158-l7s2utqb	43	8	contact	contact	NOUN
cord-104158-l7s2utqb	43	9	restrictions	restriction	NOUN
cord-104158-l7s2utqb	43	10	requires	require	VERB
cord-104158-l7s2utqb	43	11	accounting	account	VERB
cord-104158-l7s2utqb	43	12	for	for	ADP
cord-104158-l7s2utqb	43	13	region	region	NOUN
cord-104158-l7s2utqb	43	14	-	-	PUNCT
cord-104158-l7s2utqb	43	15	specific	specific	ADJ
cord-104158-l7s2utqb	43	16	cultural	cultural	ADJ
cord-104158-l7s2utqb	43	17	and	and	CCONJ
cord-104158-l7s2utqb	43	18	economic	economic	ADJ
cord-104158-l7s2utqb	43	19	constructs	construct	NOUN
cord-104158-l7s2utqb	43	20	as	as	ADV
cord-104158-l7s2utqb	43	21	well	well	ADV
cord-104158-l7s2utqb	43	22	as	as	ADP
cord-104158-l7s2utqb	43	23	the	the	DET
cord-104158-l7s2utqb	43	24	available	available	ADJ
cord-104158-l7s2utqb	43	25	medical	medical	ADJ
cord-104158-l7s2utqb	43	26	capacity	capacity	NOUN
cord-104158-l7s2utqb	43	27	,	,	PUNCT
cord-104158-l7s2utqb	43	28	a	a	DET
cord-104158-l7s2utqb	43	29	highly	highly	ADV
cord-104158-l7s2utqb	43	30	complex	complex	ADJ
cord-104158-l7s2utqb	43	31	task	task	NOUN
cord-104158-l7s2utqb	43	32	.	.	PUNCT
cord-104158-l7s2utqb	44	1	for	for	ADP
cord-104158-l7s2utqb	44	2	tractability	tractability	NOUN
cord-104158-l7s2utqb	44	3	,	,	PUNCT
cord-104158-l7s2utqb	44	4	we	we	PRON
cord-104158-l7s2utqb	44	5	assume	assume	VERB
cord-104158-l7s2utqb	44	6	that	that	SCONJ
cord-104158-l7s2utqb	44	7	the	the	DET
cord-104158-l7s2utqb	44	8	public	public	ADJ
cord-104158-l7s2utqb	44	9	health	health	NOUN
cord-104158-l7s2utqb	44	10	goal	goal	NOUN
cord-104158-l7s2utqb	44	11	is	be	AUX
cord-104158-l7s2utqb	44	12	to	to	PART
cord-104158-l7s2utqb	44	13	limit	limit	VERB
cord-104158-l7s2utqb	44	14	active	active	ADJ
cord-104158-l7s2utqb	44	15	infections	infection	NOUN
cord-104158-l7s2utqb	44	16	to	to	ADP
cord-104158-l7s2utqb	44	17	a	a	DET
cord-104158-l7s2utqb	44	18	certain	certain	ADJ
cord-104158-l7s2utqb	44	19	target	target	NOUN
cord-104158-l7s2utqb	44	20	level	level	NOUN
cord-104158-l7s2utqb	44	21	determined	determine	VERB
cord-104158-l7s2utqb	44	22	via	via	ADP
cord-104158-l7s2utqb	44	23	an	an	DET
cord-104158-l7s2utqb	44	24	independent	independent	ADJ
cord-104158-l7s2utqb	44	25	impact	impact	NOUN
cord-104158-l7s2utqb	44	26	analysis	analysis	NOUN
cord-104158-l7s2utqb	44	27	[	[	X
cord-104158-l7s2utqb	44	28	2	2	NUM
cord-104158-l7s2utqb	44	29	]	]	PUNCT
cord-104158-l7s2utqb	44	30	.	.	PUNCT
cord-104158-l7s2utqb	45	1	the	the	DET
cord-104158-l7s2utqb	45	2	controls	control	NOUN
cord-104158-l7s2utqb	45	3	available	available	ADJ
cord-104158-l7s2utqb	45	4	to	to	ADP
cord-104158-l7s2utqb	45	5	the	the	DET
cord-104158-l7s2utqb	45	6	public	public	ADJ
cord-104158-l7s2utqb	45	7	health	health	NOUN
cord-104158-l7s2utqb	45	8	authorities	authority	NOUN
cord-104158-l7s2utqb	45	9	can	can	AUX
cord-104158-l7s2utqb	45	10	be	be	AUX
cord-104158-l7s2utqb	45	11	viewed	view	VERB
cord-104158-l7s2utqb	45	12	as	as	ADP
cord-104158-l7s2utqb	45	13	multiple	multiple	ADJ
cord-104158-l7s2utqb	45	14	knobs	knob	NOUN
cord-104158-l7s2utqb	45	15	that	that	PRON
cord-104158-l7s2utqb	45	16	can	can	AUX
cord-104158-l7s2utqb	45	17	be	be	AUX
cord-104158-l7s2utqb	45	18	set	set	VERB
cord-104158-l7s2utqb	45	19	to	to	ADP
cord-104158-l7s2utqb	45	20	different	different	ADJ
cord-104158-l7s2utqb	45	21	levels	level	NOUN
cord-104158-l7s2utqb	45	22	(	(	PUNCT
cord-104158-l7s2utqb	45	23	e.g.	e.g.	ADV
cord-104158-l7s2utqb	45	24	,	,	PUNCT
cord-104158-l7s2utqb	45	25	public	public	ADJ
cord-104158-l7s2utqb	45	26	transport	transport	NOUN
cord-104158-l7s2utqb	45	27	at	at	ADP
cord-104158-l7s2utqb	45	28	50	50	NUM
cord-104158-l7s2utqb	45	29	%	%	NOUN
cord-104158-l7s2utqb	45	30	occupancy	occupancy	NOUN
cord-104158-l7s2utqb	45	31	)	)	PUNCT
cord-104158-l7s2utqb	45	32	.	.	PUNCT
cord-104158-l7s2utqb	46	1	however	however	ADV
cord-104158-l7s2utqb	46	2	,	,	PUNCT
cord-104158-l7s2utqb	46	3	the	the	DET
cord-104158-l7s2utqb	46	4	need	need	NOUN
cord-104158-l7s2utqb	46	5	to	to	PART
cord-104158-l7s2utqb	46	6	communicate	communicate	VERB
cord-104158-l7s2utqb	46	7	the	the	DET
cord-104158-l7s2utqb	46	8	policy	policy	NOUN
cord-104158-l7s2utqb	46	9	to	to	ADP
cord-104158-l7s2utqb	46	10	the	the	DET
cord-104158-l7s2utqb	46	11	general	general	ADJ
cord-104158-l7s2utqb	46	12	public	public	NOUN
cord-104158-l7s2utqb	46	13	and	and	CCONJ
cord-104158-l7s2utqb	46	14	ensure	ensure	VERB
cord-104158-l7s2utqb	46	15	compliance	compliance	NOUN
cord-104158-l7s2utqb	46	16	entails	entail	VERB
cord-104158-l7s2utqb	46	17	a	a	DET
cord-104158-l7s2utqb	46	18	simpler	simple	ADJ
cord-104158-l7s2utqb	46	19	strategy	strategy	NOUN
cord-104158-l7s2utqb	46	20	centred	centre	VERB
cord-104158-l7s2utqb	46	21	around	around	ADP
cord-104158-l7s2utqb	46	22	a	a	DET
cord-104158-l7s2utqb	46	23	few	few	ADJ
cord-104158-l7s2utqb	46	24	discrete	discrete	ADJ
cord-104158-l7s2utqb	46	25	restriction	restriction	NOUN
cord-104158-l7s2utqb	46	26	levels	level	NOUN
cord-104158-l7s2utqb	46	27	[	[	X
cord-104158-l7s2utqb	46	28	4	4	NUM
cord-104158-l7s2utqb	46	29	,	,	PUNCT
cord-104158-l7s2utqb	46	30	1	1	NUM
cord-104158-l7s2utqb	46	31	]	]	PUNCT
cord-104158-l7s2utqb	46	32	,	,	PUNCT
cord-104158-l7s2utqb	46	33	(	(	PUNCT
cord-104158-l7s2utqb	46	34	e.g.	e.g.	ADV
cord-104158-l7s2utqb	46	35	table	table	NOUN
cord-104158-l7s2utqb	46	36	1	1	NUM
cord-104158-l7s2utqb	46	37	)	)	PUNCT
cord-104158-l7s2utqb	46	38	and	and	CCONJ
cord-104158-l7s2utqb	46	39	a	a	DET
cord-104158-l7s2utqb	46	40	preset	preset	ADJ
cord-104158-l7s2utqb	46	41	schedule	schedule	NOUN
cord-104158-l7s2utqb	46	42	for	for	ADP
cord-104158-l7s2utqb	46	43	a	a	DET
cord-104158-l7s2utqb	46	44	future	future	ADJ
cord-104158-l7s2utqb	46	45	time	time	NOUN
cord-104158-l7s2utqb	46	46	horizon	horizon	NOUN
cord-104158-l7s2utqb	46	47	,	,	PUNCT
cord-104158-l7s2utqb	46	48	which	which	PRON
cord-104158-l7s2utqb	46	49	is	be	AUX
cord-104158-l7s2utqb	46	50	often	often	ADV
cord-104158-l7s2utqb	46	51	longer	long	ADJ
cord-104158-l7s2utqb	46	52	than	than	ADP
cord-104158-l7s2utqb	46	53	the	the	DET
cord-104158-l7s2utqb	46	54	intervals	interval	NOUN
cord-104158-l7s2utqb	46	55	at	at	ADP
cord-104158-l7s2utqb	46	56	which	which	PRON
cord-104158-l7s2utqb	46	57	the	the	DET
cord-104158-l7s2utqb	46	58	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	46	59	observations	observation	NOUN
cord-104158-l7s2utqb	46	60	are	be	AUX
cord-104158-l7s2utqb	46	61	collected	collect	VERB
cord-104158-l7s2utqb	46	62	.	.	PUNCT
cord-104158-l7s2utqb	47	1	for	for	ADP
cord-104158-l7s2utqb	47	2	example	example	NOUN
cord-104158-l7s2utqb	47	3	,	,	PUNCT
cord-104158-l7s2utqb	47	4	the	the	DET
cord-104158-l7s2utqb	47	5	infection	infection	NOUN
cord-104158-l7s2utqb	47	6	levels	level	NOUN
cord-104158-l7s2utqb	47	7	might	might	AUX
cord-104158-l7s2utqb	47	8	be	be	AUX
cord-104158-l7s2utqb	47	9	monitored	monitor	VERB
cord-104158-l7s2utqb	47	10	at	at	ADP
cord-104158-l7s2utqb	47	11	a	a	DET
cord-104158-l7s2utqb	47	12	daily	daily	ADJ
cord-104158-l7s2utqb	47	13	frequency	frequency	NOUN
cord-104158-l7s2utqb	47	14	,	,	PUNCT
cord-104158-l7s2utqb	47	15	but	but	CCONJ
cord-104158-l7s2utqb	47	16	the	the	DET
cord-104158-l7s2utqb	47	17	restriction	restriction	NOUN
cord-104158-l7s2utqb	47	18	guidelines	guideline	NOUN
cord-104158-l7s2utqb	47	19	(	(	PUNCT
cord-104158-l7s2utqb	47	20	e.g.	e.g.	ADV
cord-104158-l7s2utqb	47	21	,	,	PUNCT
cord-104158-l7s2utqb	47	22	level	level	NOUN
cord-104158-l7s2utqb	47	23	2	2	NUM
cord-104158-l7s2utqb	47	24	on	on	ADP
cord-104158-l7s2utqb	47	25	weekdays	weekday	NOUN
cord-104158-l7s2utqb	47	26	and	and	CCONJ
cord-104158-l7s2utqb	47	27	level	level	NOUN
cord-104158-l7s2utqb	47	28	1	1	NUM
cord-104158-l7s2utqb	47	29	on	on	ADP
cord-104158-l7s2utqb	47	30	weekends	weekend	NOUN
cord-104158-l7s2utqb	47	31	)	)	PUNCT
cord-104158-l7s2utqb	47	32	might	might	AUX
cord-104158-l7s2utqb	47	33	be	be	AUX
cord-104158-l7s2utqb	47	34	chosen	choose	VERB
cord-104158-l7s2utqb	47	35	for	for	ADP
cord-104158-l7s2utqb	47	36	a	a	DET
cord-104158-l7s2utqb	47	37	monthly	monthly	ADJ
cord-104158-l7s2utqb	47	38	period	period	NOUN
cord-104158-l7s2utqb	47	39	.	.	PUNCT
cord-104158-l7s2utqb	48	1	restriction	restriction	NOUN
cord-104158-l7s2utqb	48	2	control	control	NOUN
cord-104158-l7s2utqb	48	3	.	.	PUNCT
cord-104158-l7s2utqb	49	1	for	for	ADP
cord-104158-l7s2utqb	49	2	a	a	DET
cord-104158-l7s2utqb	49	3	given	give	VERB
cord-104158-l7s2utqb	49	4	region	region	NOUN
cord-104158-l7s2utqb	49	5	,	,	PUNCT
cord-104158-l7s2utqb	49	6	let	let	VERB
cord-104158-l7s2utqb	49	7	n	n	PRON
cord-104158-l7s2utqb	49	8	,	,	PUNCT
cord-104158-l7s2utqb	49	9	s	s	PART
cord-104158-l7s2utqb	49	10	curr	curr	NOUN
cord-104158-l7s2utqb	49	11	,	,	PUNCT
cord-104158-l7s2utqb	49	12	i	i	PRON
cord-104158-l7s2utqb	49	13	curr	curr	NOUN
cord-104158-l7s2utqb	49	14	be	be	VERB
cord-104158-l7s2utqb	49	15	the	the	DET
cord-104158-l7s2utqb	49	16	total	total	ADJ
cord-104158-l7s2utqb	49	17	,	,	PUNCT
cord-104158-l7s2utqb	49	18	current	current	ADJ
cord-104158-l7s2utqb	49	19	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	49	20	,	,	PUNCT
cord-104158-l7s2utqb	49	21	and	and	CCONJ
cord-104158-l7s2utqb	49	22	infectious	infectious	ADJ
cord-104158-l7s2utqb	49	23	populations	population	NOUN
cord-104158-l7s2utqb	49	24	respectively	respectively	ADV
cord-104158-l7s2utqb	49	25	.	.	PUNCT
cord-104158-l7s2utqb	50	1	let	let	VERB
cord-104158-l7s2utqb	50	2	i	i	PRON
cord-104158-l7s2utqb	50	3	target	target	VERB
cord-104158-l7s2utqb	50	4	avg	avg	NOUN
cord-104158-l7s2utqb	50	5	be	be	AUX
cord-104158-l7s2utqb	50	6	the	the	DET
cord-104158-l7s2utqb	50	7	target	target	NOUN
cord-104158-l7s2utqb	50	8	average	average	ADJ
cord-104158-l7s2utqb	50	9	infectious	infectious	ADJ
cord-104158-l7s2utqb	50	10	level	level	NOUN
cord-104158-l7s2utqb	50	11	.	.	PUNCT
cord-104158-l7s2utqb	51	1	let	let	VERB
cord-104158-l7s2utqb	51	2	a	a	PRON
cord-104158-l7s2utqb	51	3	be	be	AUX
cord-104158-l7s2utqb	51	4	the	the	DET
cord-104158-l7s2utqb	51	5	set	set	NOUN
cord-104158-l7s2utqb	51	6	of	of	ADP
cord-104158-l7s2utqb	51	7	restriction	restriction	NOUN
cord-104158-l7s2utqb	51	8	levels	level	NOUN
cord-104158-l7s2utqb	51	9	for	for	ADP
cord-104158-l7s2utqb	51	10	which	which	PRON
cord-104158-l7s2utqb	51	11	the	the	DET
cord-104158-l7s2utqb	51	12	transmission	transmission	NOUN
cord-104158-l7s2utqb	51	13	rate	rate	NOUN
cord-104158-l7s2utqb	51	14	is	be	AUX
cord-104158-l7s2utqb	51	15	known	know	VERB
cord-104158-l7s2utqb	51	16	or	or	CCONJ
cord-104158-l7s2utqb	51	17	can	can	AUX
cord-104158-l7s2utqb	51	18	be	be	AUX
cord-104158-l7s2utqb	51	19	estimated	estimate	VERB
cord-104158-l7s2utqb	51	20	3	3	NUM
cord-104158-l7s2utqb	51	21	example	example	NOUN
cord-104158-l7s2utqb	51	22	.	.	PUNCT
cord-104158-l7s2utqb	52	1	on	on	ADP
cord-104158-l7s2utqb	52	2	oct	oct	PROPN
cord-104158-l7s2utqb	52	3	1	1	NUM
cord-104158-l7s2utqb	52	4	,	,	PUNCT
cord-104158-l7s2utqb	52	5	2020	2020	NUM
cord-104158-l7s2utqb	52	6	,	,	PUNCT
cord-104158-l7s2utqb	52	7	a	a	DET
cord-104158-l7s2utqb	52	8	hypothetical	hypothetical	ADJ
cord-104158-l7s2utqb	52	9	city	city	NOUN
cord-104158-l7s2utqb	52	10	has	have	VERB
cord-104158-l7s2utqb	52	11	a	a	DET
cord-104158-l7s2utqb	52	12	population	population	NOUN
cord-104158-l7s2utqb	52	13	of	of	ADP
cord-104158-l7s2utqb	52	14	13	13	NUM
cord-104158-l7s2utqb	52	15	m	m	NOUN
cord-104158-l7s2utqb	52	16	of	of	ADP
cord-104158-l7s2utqb	52	17	which	which	PRON
cord-104158-l7s2utqb	52	18	0.2	0.2	NUM
cord-104158-l7s2utqb	52	19	m	m	VERB
cord-104158-l7s2utqb	52	20	are	be	AUX
cord-104158-l7s2utqb	52	21	currently	currently	ADV
cord-104158-l7s2utqb	52	22	infectious	infectious	ADJ
cord-104158-l7s2utqb	52	23	and	and	CCONJ
cord-104158-l7s2utqb	52	24	0.2	0.2	NUM
cord-104158-l7s2utqb	52	25	m	m	VERB
cord-104158-l7s2utqb	52	26	are	be	AUX
cord-104158-l7s2utqb	52	27	post	post	ADJ
cord-104158-l7s2utqb	52	28	-	-	ADJ
cord-104158-l7s2utqb	52	29	infectious	infectious	ADJ
cord-104158-l7s2utqb	52	30	with	with	SCONJ
cord-104158-l7s2utqb	52	31	the	the	DET
cord-104158-l7s2utqb	52	32	rest	rest	NOUN
cord-104158-l7s2utqb	52	33	still	still	ADV
cord-104158-l7s2utqb	52	34	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	52	35	.	.	PUNCT
cord-104158-l7s2utqb	53	1	assuming	assume	VERB
cord-104158-l7s2utqb	53	2	five	five	NUM
cord-104158-l7s2utqb	53	3	restriction	restriction	NOUN
cord-104158-l7s2utqb	53	4	levels	level	NOUN
cord-104158-l7s2utqb	53	5	with	with	ADP
cord-104158-l7s2utqb	53	6	transmission	transmission	NOUN
cord-104158-l7s2utqb	53	7	rates	rate	NOUN
cord-104158-l7s2utqb	53	8	of	of	ADP
cord-104158-l7s2utqb	53	9	[	[	X
cord-104158-l7s2utqb	53	10	0.1	0.1	NUM
cord-104158-l7s2utqb	53	11	,	,	PUNCT
cord-104158-l7s2utqb	53	12	0.2	0.2	NUM
cord-104158-l7s2utqb	53	13	,	,	PUNCT
cord-104158-l7s2utqb	53	14	0.3	0.3	NUM
cord-104158-l7s2utqb	53	15	,	,	PUNCT
cord-104158-l7s2utqb	53	16	0.4	0.4	NUM
cord-104158-l7s2utqb	53	17	,	,	PUNCT
cord-104158-l7s2utqb	53	18	0.5	0.5	NUM
cord-104158-l7s2utqb	53	19	]	]	PUNCT
cord-104158-l7s2utqb	53	20	,	,	PUNCT
cord-104158-l7s2utqb	53	21	the	the	DET
cord-104158-l7s2utqb	53	22	objective	objective	NOUN
cord-104158-l7s2utqb	53	23	is	be	AUX
cord-104158-l7s2utqb	53	24	to	to	PART
cord-104158-l7s2utqb	53	25	figure	figure	VERB
cord-104158-l7s2utqb	53	26	out	out	ADP
cord-104158-l7s2utqb	53	27	a	a	DET
cord-104158-l7s2utqb	53	28	restriction	restriction	NOUN
cord-104158-l7s2utqb	53	29	policy	policy	NOUN
cord-104158-l7s2utqb	53	30	for	for	ADP
cord-104158-l7s2utqb	53	31	the	the	DET
cord-104158-l7s2utqb	53	32	upcoming	upcoming	ADJ
cord-104158-l7s2utqb	53	33	month	month	NOUN
cord-104158-l7s2utqb	53	34	so	so	SCONJ
cord-104158-l7s2utqb	53	35	that	that	SCONJ
cord-104158-l7s2utqb	53	36	the	the	DET
cord-104158-l7s2utqb	53	37	infectious	infectious	ADJ
cord-104158-l7s2utqb	53	38	count	count	NOUN
cord-104158-l7s2utqb	53	39	averages	average	NOUN
cord-104158-l7s2utqb	53	40	around	around	ADP
cord-104158-l7s2utqb	53	41	i	i	PRON
cord-104158-l7s2utqb	53	42	target	target	VERB
cord-104158-l7s2utqb	53	43	avg	avg	NOUN
cord-104158-l7s2utqb	53	44	=	=	SYM
cord-104158-l7s2utqb	53	45	150	150	NUM
cord-104158-l7s2utqb	53	46	,	,	PUNCT
cord-104158-l7s2utqb	53	47	000	000	NUM
cord-104158-l7s2utqb	53	48	.	.	PUNCT
cord-104158-l7s2utqb	54	1	since	since	SCONJ
cord-104158-l7s2utqb	54	2	our	our	PRON
cord-104158-l7s2utqb	54	3	primary	primary	ADJ
cord-104158-l7s2utqb	54	4	focus	focus	NOUN
cord-104158-l7s2utqb	54	5	is	be	AUX
cord-104158-l7s2utqb	54	6	on	on	ADP
cord-104158-l7s2utqb	54	7	an	an	DET
cord-104158-l7s2utqb	54	8	analytical	analytical	ADJ
cord-104158-l7s2utqb	54	9	control	control	NOUN
cord-104158-l7s2utqb	54	10	framework	framework	NOUN
cord-104158-l7s2utqb	54	11	,	,	PUNCT
cord-104158-l7s2utqb	54	12	we	we	PRON
cord-104158-l7s2utqb	54	13	make	make	VERB
cord-104158-l7s2utqb	54	14	simplifying	simplify	VERB
cord-104158-l7s2utqb	54	15	assumptions	assumption	NOUN
cord-104158-l7s2utqb	54	16	on	on	ADP
cord-104158-l7s2utqb	54	17	the	the	DET
cord-104158-l7s2utqb	54	18	observability	observability	NOUN
cord-104158-l7s2utqb	54	19	,	,	PUNCT
cord-104158-l7s2utqb	54	20	(	(	PUNCT
cord-104158-l7s2utqb	54	21	i.e.	i.e.	X
cord-104158-l7s2utqb	54	22	,	,	PUNCT
cord-104158-l7s2utqb	54	23	accurate	accurate	ADJ
cord-104158-l7s2utqb	54	24	estimates	estimate	NOUN
cord-104158-l7s2utqb	54	25	of	of	ADP
cord-104158-l7s2utqb	54	26	the	the	DET
cord-104158-l7s2utqb	54	27	infectious	infectious	ADJ
cord-104158-l7s2utqb	54	28	population	population	NOUN
cord-104158-l7s2utqb	54	29	is	be	AUX
cord-104158-l7s2utqb	54	30	possible	possible	ADJ
cord-104158-l7s2utqb	54	31	via	via	ADP
cord-104158-l7s2utqb	54	32	a	a	DET
cord-104158-l7s2utqb	54	33	mix	mix	NOUN
cord-104158-l7s2utqb	54	34	of	of	ADP
cord-104158-l7s2utqb	54	35	serosurveys	serosurvey	NOUN
cord-104158-l7s2utqb	54	36	and	and	CCONJ
cord-104158-l7s2utqb	54	37	diagnosis	diagnosis	NOUN
cord-104158-l7s2utqb	54	38	tests	test	NOUN
cord-104158-l7s2utqb	54	39	)	)	PUNCT
cord-104158-l7s2utqb	54	40	and	and	CCONJ
cord-104158-l7s2utqb	54	41	the	the	DET
cord-104158-l7s2utqb	54	42	infection	infection	NOUN
cord-104158-l7s2utqb	54	43	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	54	44	(	(	PUNCT
cord-104158-l7s2utqb	54	45	region	region	NOUN
cord-104158-l7s2utqb	54	46	isolation	isolation	NOUN
cord-104158-l7s2utqb	54	47	,	,	PUNCT
cord-104158-l7s2utqb	54	48	homogeneous	homogeneous	ADJ
cord-104158-l7s2utqb	54	49	interactions	interaction	NOUN
cord-104158-l7s2utqb	54	50	,	,	PUNCT
cord-104158-l7s2utqb	54	51	negligible	negligible	ADJ
cord-104158-l7s2utqb	54	52	incubation	incubation	NOUN
cord-104158-l7s2utqb	54	53	period	period	NOUN
cord-104158-l7s2utqb	54	54	,	,	PUNCT
cord-104158-l7s2utqb	54	55	and	and	CCONJ
cord-104158-l7s2utqb	54	56	constant	constant	ADJ
cord-104158-l7s2utqb	54	57	infectious	infectious	ADJ
cord-104158-l7s2utqb	54	58	period	period	NOUN
cord-104158-l7s2utqb	54	59	)	)	PUNCT
cord-104158-l7s2utqb	54	60	.	.	PUNCT
cord-104158-l7s2utqb	55	1	section	section	NOUN
cord-104158-l7s2utqb	55	2	7	7	NUM
cord-104158-l7s2utqb	55	3	describes	describe	VERB
cord-104158-l7s2utqb	55	4	extensions	extension	NOUN
cord-104158-l7s2utqb	55	5	when	when	SCONJ
cord-104158-l7s2utqb	55	6	some	some	PRON
cord-104158-l7s2utqb	55	7	of	of	ADP
cord-104158-l7s2utqb	55	8	these	these	DET
cord-104158-l7s2utqb	55	9	assumptions	assumption	NOUN
cord-104158-l7s2utqb	55	10	are	be	AUX
cord-104158-l7s2utqb	55	11	relaxed	relax	VERB
cord-104158-l7s2utqb	55	12	.	.	PUNCT
cord-104158-l7s2utqb	56	1	our	our	PRON
cord-104158-l7s2utqb	56	2	work	work	NOUN
cord-104158-l7s2utqb	56	3	builds	build	VERB
cord-104158-l7s2utqb	56	4	on	on	ADP
cord-104158-l7s2utqb	56	5	three	three	NUM
cord-104158-l7s2utqb	56	6	research	research	NOUN
cord-104158-l7s2utqb	56	7	areas	area	NOUN
cord-104158-l7s2utqb	56	8	:	:	PUNCT
cord-104158-l7s2utqb	56	9	(	(	PUNCT
cord-104158-l7s2utqb	56	10	a	a	X
cord-104158-l7s2utqb	56	11	)	)	PUNCT
cord-104158-l7s2utqb	56	12	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	56	13	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	56	14	models	model	NOUN
cord-104158-l7s2utqb	56	15	,	,	PUNCT
cord-104158-l7s2utqb	56	16	(	(	PUNCT
cord-104158-l7s2utqb	56	17	b	b	X
cord-104158-l7s2utqb	56	18	)	)	PUNCT
cord-104158-l7s2utqb	56	19	lotka	lotka	PROPN
cord-104158-l7s2utqb	56	20	-	-	PUNCT
cord-104158-l7s2utqb	56	21	volterra	volterra	PROPN
cord-104158-l7s2utqb	56	22	systems	systems	PROPN
cord-104158-l7s2utqb	56	23	,	,	PUNCT
cord-104158-l7s2utqb	56	24	and	and	CCONJ
cord-104158-l7s2utqb	56	25	(	(	PUNCT
cord-104158-l7s2utqb	56	26	c	c	X
cord-104158-l7s2utqb	56	27	)	)	PUNCT
cord-104158-l7s2utqb	56	28	optimal	optimal	ADJ
cord-104158-l7s2utqb	56	29	control	control	NOUN
cord-104158-l7s2utqb	56	30	of	of	ADP
cord-104158-l7s2utqb	56	31	non	non	ADJ
cord-104158-l7s2utqb	56	32	-	-	ADJ
cord-104158-l7s2utqb	56	33	linear	linear	ADJ
cord-104158-l7s2utqb	56	34	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	56	35	systems	system	NOUN
cord-104158-l7s2utqb	56	36	.	.	PUNCT
cord-104158-l7s2utqb	57	1	infectious	infectious	ADJ
cord-104158-l7s2utqb	57	2	diseases	disease	NOUN
cord-104158-l7s2utqb	57	3	are	be	AUX
cord-104158-l7s2utqb	57	4	commonly	commonly	ADV
cord-104158-l7s2utqb	57	5	modeled	model	VERB
cord-104158-l7s2utqb	57	6	using	use	VERB
cord-104158-l7s2utqb	57	7	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	57	8	models	model	NOUN
cord-104158-l7s2utqb	57	9	where	where	SCONJ
cord-104158-l7s2utqb	57	10	the	the	DET
cord-104158-l7s2utqb	57	11	population	population	NOUN
cord-104158-l7s2utqb	57	12	(	(	PUNCT
cord-104158-l7s2utqb	57	13	n	n	NOUN
cord-104158-l7s2utqb	57	14	)	)	PUNCT
cord-104158-l7s2utqb	57	15	is	be	AUX
cord-104158-l7s2utqb	57	16	divided	divide	VERB
cord-104158-l7s2utqb	57	17	into	into	ADP
cord-104158-l7s2utqb	57	18	various	various	ADJ
cord-104158-l7s2utqb	57	19	compartments	compartment	NOUN
cord-104158-l7s2utqb	57	20	corresponding	correspond	VERB
cord-104158-l7s2utqb	57	21	to	to	ADP
cord-104158-l7s2utqb	57	22	different	different	ADJ
cord-104158-l7s2utqb	57	23	disease	disease	NOUN
cord-104158-l7s2utqb	57	24	stages	stage	NOUN
cord-104158-l7s2utqb	57	25	and	and	CCONJ
cord-104158-l7s2utqb	57	26	the	the	DET
cord-104158-l7s2utqb	57	27	intercompartment	intercompartment	NOUN
cord-104158-l7s2utqb	57	28	transitions	transition	NOUN
cord-104158-l7s2utqb	57	29	are	be	AUX
cord-104158-l7s2utqb	57	30	governed	govern	VERB
cord-104158-l7s2utqb	57	31	by	by	ADP
cord-104158-l7s2utqb	57	32	the	the	DET
cord-104158-l7s2utqb	57	33	model	model	NOUN
cord-104158-l7s2utqb	57	34	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	57	35	.	.	PUNCT
cord-104158-l7s2utqb	58	1	the	the	DET
cord-104158-l7s2utqb	58	2	sir	sir	PROPN
cord-104158-l7s2utqb	58	3	model	model	NOUN
cord-104158-l7s2utqb	59	1	[	[	X
cord-104158-l7s2utqb	59	2	28	28	NUM
cord-104158-l7s2utqb	59	3	,	,	PUNCT
cord-104158-l7s2utqb	59	4	21	21	NUM
cord-104158-l7s2utqb	59	5	]	]	PUNCT
cord-104158-l7s2utqb	59	6	is	be	AUX
cord-104158-l7s2utqb	59	7	the	the	DET
cord-104158-l7s2utqb	59	8	simplest	simple	ADJ
cord-104158-l7s2utqb	59	9	and	and	CCONJ
cord-104158-l7s2utqb	59	10	most	most	ADV
cord-104158-l7s2utqb	59	11	widely	widely	ADV
cord-104158-l7s2utqb	59	12	used	use	VERB
cord-104158-l7s2utqb	59	13	one	one	NUM
cord-104158-l7s2utqb	59	14	.	.	PUNCT
cord-104158-l7s2utqb	60	1	the	the	DET
cord-104158-l7s2utqb	60	2	model	model	NOUN
cord-104158-l7s2utqb	60	3	comprises	comprise	VERB
cord-104158-l7s2utqb	60	4	three	three	NUM
cord-104158-l7s2utqb	60	5	compartments	compartment	NOUN
cord-104158-l7s2utqb	60	6	:	:	PUNCT
cord-104158-l7s2utqb	60	7	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	60	8	(	(	PUNCT
cord-104158-l7s2utqb	60	9	s	s	X
cord-104158-l7s2utqb	60	10	)	)	PUNCT
cord-104158-l7s2utqb	60	11	,	,	PUNCT
cord-104158-l7s2utqb	60	12	infectious	infectious	ADJ
cord-104158-l7s2utqb	60	13	(	(	PUNCT
cord-104158-l7s2utqb	60	14	i	i	NOUN
cord-104158-l7s2utqb	60	15	)	)	PUNCT
cord-104158-l7s2utqb	60	16	and	and	CCONJ
cord-104158-l7s2utqb	60	17	removed	remove	VERB
cord-104158-l7s2utqb	60	18	(	(	PUNCT
cord-104158-l7s2utqb	60	19	r	r	NOUN
cord-104158-l7s2utqb	60	20	-includes	-includes	PROPN
cord-104158-l7s2utqb	60	21	immune	immune	NOUN
cord-104158-l7s2utqb	60	22	&	&	CCONJ
cord-104158-l7s2utqb	60	23	post	post	ADJ
cord-104158-l7s2utqb	60	24	-	-	ADJ
cord-104158-l7s2utqb	60	25	infectious	infectious	ADJ
cord-104158-l7s2utqb	60	26	persons	person	NOUN
cord-104158-l7s2utqb	60	27	)	)	PUNCT
cord-104158-l7s2utqb	60	28	with	with	ADP
cord-104158-l7s2utqb	60	29	the	the	DET
cord-104158-l7s2utqb	60	30	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	60	31	in	in	ADP
cord-104158-l7s2utqb	60	32	fig	fig	NOUN
cord-104158-l7s2utqb	60	33	2(b	2(b	PUNCT
cord-104158-l7s2utqb	60	34	)	)	PUNCT
cord-104158-l7s2utqb	60	35	.	.	PUNCT
cord-104158-l7s2utqb	61	1	here	here	ADV
cord-104158-l7s2utqb	61	2	β	β	PROPN
cord-104158-l7s2utqb	61	3	is	be	AUX
cord-104158-l7s2utqb	61	4	the	the	DET
cord-104158-l7s2utqb	61	5	rate	rate	NOUN
cord-104158-l7s2utqb	61	6	of	of	ADP
cord-104158-l7s2utqb	61	7	disease	disease	NOUN
cord-104158-l7s2utqb	61	8	transmission	transmission	NOUN
cord-104158-l7s2utqb	61	9	from	from	ADP
cord-104158-l7s2utqb	61	10	infectious	infectious	ADJ
cord-104158-l7s2utqb	61	11	to	to	ADP
cord-104158-l7s2utqb	61	12	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	61	13	individuals	individual	NOUN
cord-104158-l7s2utqb	61	14	,	,	PUNCT
cord-104158-l7s2utqb	61	15	which	which	PRON
cord-104158-l7s2utqb	61	16	largely	largely	ADV
cord-104158-l7s2utqb	61	17	depends	depend	VERB
cord-104158-l7s2utqb	61	18	on	on	ADP
cord-104158-l7s2utqb	61	19	the	the	DET
cord-104158-l7s2utqb	61	20	contact	contact	NOUN
cord-104158-l7s2utqb	61	21	restriction	restriction	NOUN
cord-104158-l7s2utqb	61	22	policy	policy	NOUN
cord-104158-l7s2utqb	61	23	.	.	PUNCT
cord-104158-l7s2utqb	62	1	γ	γ	PRON
cord-104158-l7s2utqb	62	2	is	be	AUX
cord-104158-l7s2utqb	62	3	the	the	DET
cord-104158-l7s2utqb	62	4	inverse	inverse	NOUN
cord-104158-l7s2utqb	62	5	of	of	ADP
cord-104158-l7s2utqb	62	6	the	the	DET
cord-104158-l7s2utqb	62	7	average	average	ADJ
cord-104158-l7s2utqb	62	8	infectious	infectious	ADJ
cord-104158-l7s2utqb	62	9	period	period	NOUN
cord-104158-l7s2utqb	62	10	,	,	PUNCT
cord-104158-l7s2utqb	62	11	which	which	PRON
cord-104158-l7s2utqb	62	12	depends	depend	VERB
cord-104158-l7s2utqb	62	13	on	on	ADP
cord-104158-l7s2utqb	62	14	the	the	DET
cord-104158-l7s2utqb	62	15	testing	testing	NOUN
cord-104158-l7s2utqb	62	16	and	and	CCONJ
cord-104158-l7s2utqb	62	17	quarantine	quarantine	NOUN
cord-104158-l7s2utqb	62	18	policy	policy	NOUN
cord-104158-l7s2utqb	62	19	but	but	CCONJ
cord-104158-l7s2utqb	62	20	is	be	AUX
cord-104158-l7s2utqb	62	21	largely	largely	ADV
cord-104158-l7s2utqb	62	22	invariant	invariant	ADJ
cord-104158-l7s2utqb	62	23	when	when	SCONJ
cord-104158-l7s2utqb	62	24	testing	testing	NOUN
cord-104158-l7s2utqb	62	25	volumes	volume	NOUN
cord-104158-l7s2utqb	62	26	are	be	AUX
cord-104158-l7s2utqb	62	27	low	low	ADJ
cord-104158-l7s2utqb	62	28	[	[	X
cord-104158-l7s2utqb	62	29	10	10	NUM
cord-104158-l7s2utqb	62	30	]	]	PUNCT
cord-104158-l7s2utqb	62	31	.	.	PUNCT
cord-104158-l7s2utqb	63	1	in	in	ADP
cord-104158-l7s2utqb	63	2	this	this	DET
cord-104158-l7s2utqb	63	3	model	model	NOUN
cord-104158-l7s2utqb	63	4	,	,	PUNCT
cord-104158-l7s2utqb	63	5	the	the	DET
cord-104158-l7s2utqb	63	6	effective	effective	ADJ
cord-104158-l7s2utqb	63	7	reproduction	reproduction	NOUN
cord-104158-l7s2utqb	63	8	number	number	NOUN
cord-104158-l7s2utqb	63	9	(	(	PUNCT
cord-104158-l7s2utqb	63	10	avg	avg	NOUN
cord-104158-l7s2utqb	63	11	.	.	PUNCT
cord-104158-l7s2utqb	64	1	#	#	SYM
cord-104158-l7s2utqb	64	2	direct	direct	ADJ
cord-104158-l7s2utqb	64	3	infections	infection	NOUN
cord-104158-l7s2utqb	64	4	from	from	ADP
cord-104158-l7s2utqb	64	5	each	each	DET
cord-104158-l7s2utqb	64	6	infection	infection	NOUN
cord-104158-l7s2utqb	64	7	)	)	PUNCT
cord-104158-l7s2utqb	64	8	is	be	AUX
cord-104158-l7s2utqb	64	9	r	r	PROPN
cord-104158-l7s2utqb	64	10	ef	ef	PROPN
cord-104158-l7s2utqb	64	11	f	f	PROPN
cord-104158-l7s2utqb	64	12	=	=	SYM
cord-104158-l7s2utqb	64	13	βs	βs	X
cord-104158-l7s2utqb	64	14	γn	γn	NOUN
cord-104158-l7s2utqb	64	15	.	.	PUNCT
cord-104158-l7s2utqb	65	1	existing	exist	VERB
cord-104158-l7s2utqb	65	2	restriction	restriction	NOUN
cord-104158-l7s2utqb	65	3	control	control	NOUN
cord-104158-l7s2utqb	65	4	approaches	approach	VERB
cord-104158-l7s2utqb	65	5	[	[	PUNCT
cord-104158-l7s2utqb	65	6	44	44	NUM
cord-104158-l7s2utqb	65	7	]	]	PUNCT
cord-104158-l7s2utqb	65	8	are	be	AUX
cord-104158-l7s2utqb	65	9	often	often	ADV
cord-104158-l7s2utqb	65	10	guided	guide	VERB
cord-104158-l7s2utqb	65	11	by	by	ADP
cord-104158-l7s2utqb	65	12	the	the	DET
cord-104158-l7s2utqb	65	13	principle	principle	NOUN
cord-104158-l7s2utqb	65	14	of	of	ADP
cord-104158-l7s2utqb	65	15	ensuring	ensure	VERB
cord-104158-l7s2utqb	65	16	r	r	PROPN
cord-104158-l7s2utqb	65	17	ef	ef	X
cord-104158-l7s2utqb	65	18	f	f	PROPN
cord-104158-l7s2utqb	65	19	1	1	NUM
cord-104158-l7s2utqb	65	20	.	.	PUNCT
cord-104158-l7s2utqb	66	1	certain	certain	ADJ
cord-104158-l7s2utqb	66	2	infectious	infectious	ADJ
cord-104158-l7s2utqb	66	3	diseases	disease	NOUN
cord-104158-l7s2utqb	66	4	have	have	VERB
cord-104158-l7s2utqb	66	5	a	a	DET
cord-104158-l7s2utqb	66	6	significant	significant	ADJ
cord-104158-l7s2utqb	66	7	incubation	incubation	NOUN
cord-104158-l7s2utqb	66	8	period	period	NOUN
cord-104158-l7s2utqb	66	9	when	when	SCONJ
cord-104158-l7s2utqb	66	10	the	the	DET
cord-104158-l7s2utqb	66	11	individuals	individual	NOUN
cord-104158-l7s2utqb	66	12	are	be	AUX
cord-104158-l7s2utqb	66	13	infected	infect	VERB
cord-104158-l7s2utqb	66	14	but	but	CCONJ
cord-104158-l7s2utqb	66	15	are	be	AUX
cord-104158-l7s2utqb	66	16	not	not	PART
cord-104158-l7s2utqb	66	17	spreading	spread	VERB
cord-104158-l7s2utqb	66	18	the	the	DET
cord-104158-l7s2utqb	66	19	disease	disease	NOUN
cord-104158-l7s2utqb	66	20	(	(	PUNCT
cord-104158-l7s2utqb	66	21	non	non	ADJ
cord-104158-l7s2utqb	66	22	-	-	ADJ
cord-104158-l7s2utqb	66	23	infectious	infectious	ADJ
cord-104158-l7s2utqb	66	24	)	)	PUNCT
cord-104158-l7s2utqb	66	25	.	.	PUNCT
cord-104158-l7s2utqb	67	1	the	the	DET
cord-104158-l7s2utqb	67	2	seir	seir	ADJ
cord-104158-l7s2utqb	67	3	model	model	NOUN
cord-104158-l7s2utqb	67	4	[	[	X
cord-104158-l7s2utqb	67	5	23	23	NUM
cord-104158-l7s2utqb	67	6	]	]	PUNCT
cord-104158-l7s2utqb	67	7	includes	include	VERB
cord-104158-l7s2utqb	67	8	an	an	DET
cord-104158-l7s2utqb	67	9	additional	additional	ADJ
cord-104158-l7s2utqb	67	10	e	e	NOUN
cord-104158-l7s2utqb	67	11	(	(	PUNCT
cord-104158-l7s2utqb	67	12	exposed	expose	VERB
cord-104158-l7s2utqb	67	13	)	)	PUNCT
cord-104158-l7s2utqb	67	14	compartment	compartment	NOUN
cord-104158-l7s2utqb	67	15	to	to	PART
cord-104158-l7s2utqb	67	16	model	model	VERB
cord-104158-l7s2utqb	67	17	the	the	DET
cord-104158-l7s2utqb	67	18	incubation	incubation	NOUN
cord-104158-l7s2utqb	67	19	phase	phase	NOUN
cord-104158-l7s2utqb	67	20	.	.	PUNCT
cord-104158-l7s2utqb	68	1	lotka	lotka	PROPN
cord-104158-l7s2utqb	68	2	-	-	PUNCT
cord-104158-l7s2utqb	68	3	volterra	volterra	PROPN
cord-104158-l7s2utqb	68	4	(	(	PUNCT
cord-104158-l7s2utqb	68	5	lv	lv	PROPN
cord-104158-l7s2utqb	68	6	)	)	PUNCT
cord-104158-l7s2utqb	68	7	systems	system	NOUN
cord-104158-l7s2utqb	69	1	[	[	PUNCT
cord-104158-l7s2utqb	69	2	8	8	NUM
cord-104158-l7s2utqb	69	3	,	,	PUNCT
cord-104158-l7s2utqb	69	4	48	48	NUM
cord-104158-l7s2utqb	69	5	,	,	PUNCT
cord-104158-l7s2utqb	69	6	25	25	NUM
cord-104158-l7s2utqb	69	7	]	]	PUNCT
cord-104158-l7s2utqb	69	8	model	model	NOUN
cord-104158-l7s2utqb	69	9	the	the	DET
cord-104158-l7s2utqb	69	10	population	population	NOUN
cord-104158-l7s2utqb	69	11	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	69	12	of	of	ADP
cord-104158-l7s2utqb	69	13	predator	predator	NOUN
cord-104158-l7s2utqb	69	14	-	-	PUNCT
cord-104158-l7s2utqb	69	15	prey	prey	NOUN
cord-104158-l7s2utqb	69	16	interactions	interaction	NOUN
cord-104158-l7s2utqb	69	17	in	in	ADP
cord-104158-l7s2utqb	69	18	a	a	DET
cord-104158-l7s2utqb	69	19	biological	biological	ADJ
cord-104158-l7s2utqb	69	20	ecosystem	ecosystem	NOUN
cord-104158-l7s2utqb	69	21	.	.	PUNCT
cord-104158-l7s2utqb	70	1	these	these	DET
cord-104158-l7s2utqb	70	2	models	model	NOUN
cord-104158-l7s2utqb	70	3	form	form	VERB
cord-104158-l7s2utqb	70	4	a	a	DET
cord-104158-l7s2utqb	70	5	special	special	ADJ
cord-104158-l7s2utqb	70	6	case	case	NOUN
cord-104158-l7s2utqb	70	7	of	of	ADP
cord-104158-l7s2utqb	70	8	kolmogorov	kolmogorov	PROPN
cord-104158-l7s2utqb	70	9	systems	system	NOUN
cord-104158-l7s2utqb	71	1	[	[	PUNCT
cord-104158-l7s2utqb	71	2	22	22	NUM
cord-104158-l7s2utqb	71	3	]	]	PUNCT
cord-104158-l7s2utqb	71	4	that	that	PRON
cord-104158-l7s2utqb	71	5	capture	capture	VERB
cord-104158-l7s2utqb	71	6	the	the	DET
cord-104158-l7s2utqb	71	7	evolution	evolution	NOUN
cord-104158-l7s2utqb	71	8	of	of	ADP
cord-104158-l7s2utqb	71	9	a	a	DET
cord-104158-l7s2utqb	71	10	stochastic	stochastic	ADJ
cord-104158-l7s2utqb	71	11	process	process	NOUN
cord-104158-l7s2utqb	71	12	over	over	ADP
cord-104158-l7s2utqb	71	13	time	time	NOUN
cord-104158-l7s2utqb	71	14	.	.	PUNCT
cord-104158-l7s2utqb	72	1	in	in	ADP
cord-104158-l7s2utqb	72	2	a	a	DET
cord-104158-l7s2utqb	72	3	simple	simple	ADJ
cord-104158-l7s2utqb	72	4	2	2	NUM
cord-104158-l7s2utqb	72	5	-	-	PUNCT
cord-104158-l7s2utqb	72	6	species	species	NOUN
cord-104158-l7s2utqb	72	7	lv	lv	PROPN
cord-104158-l7s2utqb	72	8	system	system	PROPN
cord-104158-l7s2utqb	72	9	,	,	PUNCT
cord-104158-l7s2utqb	72	10	the	the	DET
cord-104158-l7s2utqb	72	11	population	population	NOUN
cord-104158-l7s2utqb	72	12	of	of	ADP
cord-104158-l7s2utqb	72	13	prey	prey	NOUN
cord-104158-l7s2utqb	72	14	(	(	PUNCT
cord-104158-l7s2utqb	72	15	p	p	NOUN
cord-104158-l7s2utqb	72	16	)	)	PUNCT
cord-104158-l7s2utqb	72	17	interacts	interact	VERB
cord-104158-l7s2utqb	72	18	with	with	ADP
cord-104158-l7s2utqb	72	19	that	that	PRON
cord-104158-l7s2utqb	72	20	of	of	ADP
cord-104158-l7s2utqb	72	21	predator	predator	NOUN
cord-104158-l7s2utqb	72	22	(	(	PUNCT
cord-104158-l7s2utqb	72	23	q	q	NOUN
cord-104158-l7s2utqb	72	24	)	)	PUNCT
cord-104158-l7s2utqb	72	25	.	.	PUNCT
cord-104158-l7s2utqb	73	1	the	the	DET
cord-104158-l7s2utqb	73	2	growth	growth	NOUN
cord-104158-l7s2utqb	73	3	rate	rate	NOUN
cord-104158-l7s2utqb	73	4	of	of	ADP
cord-104158-l7s2utqb	73	5	prey	prey	NOUN
cord-104158-l7s2utqb	73	6	depends	depend	VERB
cord-104158-l7s2utqb	73	7	on	on	ADP
cord-104158-l7s2utqb	73	8	its	its	PRON
cord-104158-l7s2utqb	73	9	reproduction	reproduction	NOUN
cord-104158-l7s2utqb	73	10	rate	rate	NOUN
cord-104158-l7s2utqb	73	11	(	(	PUNCT
cord-104158-l7s2utqb	73	12	r	r	NOUN
cord-104158-l7s2utqb	73	13	)	)	PUNCT
cord-104158-l7s2utqb	73	14	and	and	CCONJ
cord-104158-l7s2utqb	73	15	the	the	DET
cord-104158-l7s2utqb	73	16	rate	rate	NOUN
cord-104158-l7s2utqb	73	17	of	of	ADP
cord-104158-l7s2utqb	73	18	consumption	consumption	NOUN
cord-104158-l7s2utqb	73	19	by	by	ADP
cord-104158-l7s2utqb	73	20	predator	predator	NOUN
cord-104158-l7s2utqb	73	21	(	(	PUNCT
cord-104158-l7s2utqb	73	22	e	e	NOUN
cord-104158-l7s2utqb	73	23	)	)	PUNCT
cord-104158-l7s2utqb	73	24	.	.	PUNCT
cord-104158-l7s2utqb	74	1	the	the	DET
cord-104158-l7s2utqb	74	2	change	change	NOUN
cord-104158-l7s2utqb	74	3	in	in	ADP
cord-104158-l7s2utqb	74	4	predator	predator	NOUN
cord-104158-l7s2utqb	74	5	population	population	NOUN
cord-104158-l7s2utqb	74	6	depends	depend	VERB
cord-104158-l7s2utqb	74	7	on	on	ADP
cord-104158-l7s2utqb	74	8	the	the	DET
cord-104158-l7s2utqb	74	9	nourishment	nourishment	NOUN
cord-104158-l7s2utqb	74	10	-	-	PUNCT
cord-104158-l7s2utqb	74	11	based	base	VERB
cord-104158-l7s2utqb	74	12	birth	birth	NOUN
cord-104158-l7s2utqb	74	13	rate	rate	PROPN
cord-104158-l7s2utqb	74	14	b	b	PROPN
cord-104158-l7s2utqb	74	15	and	and	CCONJ
cord-104158-l7s2utqb	74	16	its	its	PRON
cord-104158-l7s2utqb	74	17	death	death	NOUN
cord-104158-l7s2utqb	74	18	rate	rate	NOUN
cord-104158-l7s2utqb	74	19	d.	d.	NOUN
cord-104158-l7s2utqb	75	1	the	the	DET
cord-104158-l7s2utqb	75	2	system	system	NOUN
cord-104158-l7s2utqb	75	3	has	have	VERB
cord-104158-l7s2utqb	75	4	two	two	NUM
cord-104158-l7s2utqb	75	5	fixed	fixed	ADJ
cord-104158-l7s2utqb	75	6	points	point	NOUN
cord-104158-l7s2utqb	75	7	:	:	PUNCT
cord-104158-l7s2utqb	75	8	(	(	PUNCT
cord-104158-l7s2utqb	75	9	a	a	X
cord-104158-l7s2utqb	75	10	)	)	PUNCT
cord-104158-l7s2utqb	75	11	a	a	DET
cord-104158-l7s2utqb	75	12	saddle	saddle	NOUN
cord-104158-l7s2utqb	75	13	point	point	NOUN
cord-104158-l7s2utqb	75	14	that	that	PRON
cord-104158-l7s2utqb	75	15	maps	map	VERB
cord-104158-l7s2utqb	75	16	to	to	ADP
cord-104158-l7s2utqb	75	17	extinction	extinction	NOUN
cord-104158-l7s2utqb	75	18	(	(	PUNCT
cord-104158-l7s2utqb	75	19	p	p	NOUN
cord-104158-l7s2utqb	75	20	,	,	PUNCT
cord-104158-l7s2utqb	75	21	q	q	PROPN
cord-104158-l7s2utqb	75	22	)	)	PUNCT
cord-104158-l7s2utqb	75	23	=	=	NOUN
cord-104158-l7s2utqb	75	24	(	(	PUNCT
cord-104158-l7s2utqb	75	25	0	0	NUM
cord-104158-l7s2utqb	75	26	,	,	PUNCT
cord-104158-l7s2utqb	75	27	0	0	NUM
cord-104158-l7s2utqb	75	28	)	)	PUNCT
cord-104158-l7s2utqb	75	29	,	,	PUNCT
cord-104158-l7s2utqb	75	30	and	and	CCONJ
cord-104158-l7s2utqb	75	31	(	(	PUNCT
cord-104158-l7s2utqb	75	32	b	b	X
cord-104158-l7s2utqb	75	33	)	)	PUNCT
cord-104158-l7s2utqb	75	34	a	a	DET
cord-104158-l7s2utqb	75	35	stable	stable	ADJ
cord-104158-l7s2utqb	75	36	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	75	37	at	at	ADP
cord-104158-l7s2utqb	75	38	(	(	PUNCT
cord-104158-l7s2utqb	75	39	p	p	NOUN
cord-104158-l7s2utqb	75	40	,	,	PUNCT
cord-104158-l7s2utqb	75	41	q	q	PROPN
cord-104158-l7s2utqb	75	42	)	)	PUNCT
cord-104158-l7s2utqb	75	43	=	=	NOUN
cord-104158-l7s2utqb	75	44	(	(	PUNCT
cord-104158-l7s2utqb	75	45	d	d	NOUN
cord-104158-l7s2utqb	75	46	b	b	PROPN
cord-104158-l7s2utqb	75	47	,	,	PUNCT
cord-104158-l7s2utqb	75	48	r	r	NOUN
cord-104158-l7s2utqb	75	49	e	e	NOUN
cord-104158-l7s2utqb	75	50	)	)	PUNCT
cord-104158-l7s2utqb	75	51	.	.	PUNCT
cord-104158-l7s2utqb	76	1	typically	typically	ADV
cord-104158-l7s2utqb	76	2	,	,	PUNCT
cord-104158-l7s2utqb	76	3	the	the	DET
cord-104158-l7s2utqb	76	4	system	system	NOUN
cord-104158-l7s2utqb	76	5	exhibits	exhibit	VERB
cord-104158-l7s2utqb	76	6	oscillations	oscillation	NOUN
cord-104158-l7s2utqb	76	7	resulting	result	VERB
cord-104158-l7s2utqb	76	8	in	in	ADP
cord-104158-l7s2utqb	76	9	a	a	DET
cord-104158-l7s2utqb	76	10	closed	closed	ADJ
cord-104158-l7s2utqb	76	11	phase	phase	NOUN
cord-104158-l7s2utqb	76	12	plot	plot	NOUN
cord-104158-l7s2utqb	76	13	that	that	PRON
cord-104158-l7s2utqb	76	14	corresponds	correspond	VERB
cord-104158-l7s2utqb	76	15	to	to	ADP
cord-104158-l7s2utqb	76	16	conservation	conservation	NOUN
cord-104158-l7s2utqb	76	17	of	of	ADP
cord-104158-l7s2utqb	76	18	an	an	DET
cord-104158-l7s2utqb	76	19	"	"	PUNCT
cord-104158-l7s2utqb	76	20	energy	energy	NOUN
cord-104158-l7s2utqb	76	21	"	"	PUNCT
cord-104158-l7s2utqb	76	22	function	function	NOUN
cord-104158-l7s2utqb	76	23	.	.	PUNCT
cord-104158-l7s2utqb	77	1	fig	fig	NOUN
cord-104158-l7s2utqb	77	2	2(a	2(a	NUM
cord-104158-l7s2utqb	77	3	)	)	PUNCT
cord-104158-l7s2utqb	77	4	presents	present	VERB
cord-104158-l7s2utqb	77	5	the	the	DET
cord-104158-l7s2utqb	77	6	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	77	7	of	of	ADP
cord-104158-l7s2utqb	77	8	an	an	DET
cord-104158-l7s2utqb	77	9	lv	lv	PROPN
cord-104158-l7s2utqb	77	10	system	system	NOUN
cord-104158-l7s2utqb	77	11	and	and	CCONJ
cord-104158-l7s2utqb	77	12	the	the	DET
cord-104158-l7s2utqb	77	13	oscillations	oscillation	NOUN
cord-104158-l7s2utqb	77	14	of	of	ADP
cord-104158-l7s2utqb	77	15	the	the	DET
cord-104158-l7s2utqb	77	16	prey	prey	NOUN
cord-104158-l7s2utqb	77	17	and	and	CCONJ
cord-104158-l7s2utqb	77	18	predator	predator	NOUN
cord-104158-l7s2utqb	77	19	populations	population	NOUN
cord-104158-l7s2utqb	77	20	.	.	PUNCT
cord-104158-l7s2utqb	78	1	due	due	ADP
cord-104158-l7s2utqb	78	2	to	to	ADP
cord-104158-l7s2utqb	78	3	the	the	DET
cord-104158-l7s2utqb	78	4	criticality	criticality	NOUN
cord-104158-l7s2utqb	78	5	of	of	ADP
cord-104158-l7s2utqb	78	6	ecological	ecological	ADJ
cord-104158-l7s2utqb	78	7	population	population	NOUN
cord-104158-l7s2utqb	78	8	control	control	NOUN
cord-104158-l7s2utqb	78	9	,	,	PUNCT
cord-104158-l7s2utqb	78	10	there	there	PRON
cord-104158-l7s2utqb	78	11	has	have	AUX
cord-104158-l7s2utqb	78	12	been	be	AUX
cord-104158-l7s2utqb	78	13	considerable	considerable	ADJ
cord-104158-l7s2utqb	78	14	research	research	NOUN
cord-104158-l7s2utqb	78	15	on	on	ADP
cord-104158-l7s2utqb	78	16	multiple	multiple	ADJ
cord-104158-l7s2utqb	78	17	variants	variant	NOUN
cord-104158-l7s2utqb	78	18	of	of	ADP
cord-104158-l7s2utqb	78	19	lv	lv	PROPN
cord-104158-l7s2utqb	78	20	systems	system	NOUN
cord-104158-l7s2utqb	79	1	[	[	PUNCT
cord-104158-l7s2utqb	79	2	22	22	NUM
cord-104158-l7s2utqb	79	3	,	,	PUNCT
cord-104158-l7s2utqb	79	4	47	47	NUM
cord-104158-l7s2utqb	79	5	]	]	PUNCT
cord-104158-l7s2utqb	79	6	and	and	CCONJ
cord-104158-l7s2utqb	79	7	their	their	PRON
cord-104158-l7s2utqb	79	8	hamiltonian	hamiltonian	ADJ
cord-104158-l7s2utqb	79	9	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	80	1	[	[	X
cord-104158-l7s2utqb	80	2	35	35	NUM
cord-104158-l7s2utqb	80	3	]	]	PUNCT
cord-104158-l7s2utqb	80	4	.	.	PUNCT
cord-104158-l7s2utqb	81	1	optimal	optimal	ADJ
cord-104158-l7s2utqb	81	2	control	control	NOUN
cord-104158-l7s2utqb	81	3	of	of	ADP
cord-104158-l7s2utqb	81	4	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	81	5	systems	system	NOUN
cord-104158-l7s2utqb	81	6	has	have	VERB
cord-104158-l7s2utqb	81	7	rich	rich	ADJ
cord-104158-l7s2utqb	81	8	connections	connection	NOUN
cord-104158-l7s2utqb	81	9	to	to	ADP
cord-104158-l7s2utqb	81	10	multiple	multiple	ADJ
cord-104158-l7s2utqb	81	11	fields	field	NOUN
cord-104158-l7s2utqb	81	12	[	[	PUNCT
cord-104158-l7s2utqb	81	13	38	38	NUM
cord-104158-l7s2utqb	81	14	]	]	PUNCT
cord-104158-l7s2utqb	81	15	that	that	PRON
cord-104158-l7s2utqb	81	16	deal	deal	VERB
cord-104158-l7s2utqb	81	17	with	with	ADP
cord-104158-l7s2utqb	81	18	optimizing	optimize	VERB
cord-104158-l7s2utqb	81	19	sequential	sequential	ADJ
cord-104158-l7s2utqb	81	20	decisions	decision	NOUN
cord-104158-l7s2utqb	81	21	to	to	PART
cord-104158-l7s2utqb	81	22	maximize	maximize	VERB
cord-104158-l7s2utqb	81	23	a	a	DET
cord-104158-l7s2utqb	81	24	desired	desire	VERB
cord-104158-l7s2utqb	81	25	objective	objective	NOUN
cord-104158-l7s2utqb	81	26	such	such	ADJ
cord-104158-l7s2utqb	81	27	as	as	ADP
cord-104158-l7s2utqb	81	28	reinforcement	reinforcement	NOUN
cord-104158-l7s2utqb	81	29	learning	learning	NOUN
cord-104158-l7s2utqb	81	30	[	[	X
cord-104158-l7s2utqb	81	31	15	15	NUM
cord-104158-l7s2utqb	81	32	]	]	PUNCT
cord-104158-l7s2utqb	81	33	,	,	PUNCT
cord-104158-l7s2utqb	81	34	multi	multi	ADJ
cord-104158-l7s2utqb	81	35	-	-	ADJ
cord-104158-l7s2utqb	81	36	armed	armed	ADJ
cord-104158-l7s2utqb	81	37	bandits	bandit	NOUN
cord-104158-l7s2utqb	81	38	[	[	PUNCT
cord-104158-l7s2utqb	81	39	12	12	NUM
cord-104158-l7s2utqb	81	40	]	]	PUNCT
cord-104158-l7s2utqb	81	41	,	,	PUNCT
cord-104158-l7s2utqb	81	42	and	and	CCONJ
cord-104158-l7s2utqb	81	43	stochastic	stochastic	ADJ
cord-104158-l7s2utqb	81	44	control	control	NOUN
cord-104158-l7s2utqb	81	45	.	.	PUNCT
cord-104158-l7s2utqb	82	1	given	give	VERB
cord-104158-l7s2utqb	82	2	a	a	DET
cord-104158-l7s2utqb	82	3	set	set	NOUN
cord-104158-l7s2utqb	82	4	of	of	ADP
cord-104158-l7s2utqb	82	5	control	control	NOUN
cord-104158-l7s2utqb	82	6	variables	variable	NOUN
cord-104158-l7s2utqb	82	7	,	,	PUNCT
cord-104158-l7s2utqb	82	8	the	the	DET
cord-104158-l7s2utqb	82	9	optimal	optimal	ADJ
cord-104158-l7s2utqb	82	10	control	control	NOUN
cord-104158-l7s2utqb	82	11	policy	policy	NOUN
cord-104158-l7s2utqb	82	12	describes	describe	VERB
cord-104158-l7s2utqb	82	13	the	the	DET
cord-104158-l7s2utqb	82	14	time	time	NOUN
cord-104158-l7s2utqb	82	15	derivatives	derivative	NOUN
cord-104158-l7s2utqb	82	16	of	of	ADP
cord-104158-l7s2utqb	82	17	these	these	DET
cord-104158-l7s2utqb	82	18	variables	variable	NOUN
cord-104158-l7s2utqb	82	19	that	that	PRON
cord-104158-l7s2utqb	82	20	minimize	minimize	VERB
cord-104158-l7s2utqb	82	21	the	the	DET
cord-104158-l7s2utqb	82	22	cost	cost	NOUN
cord-104158-l7s2utqb	82	23	function	function	NOUN
cord-104158-l7s2utqb	82	24	and	and	CCONJ
cord-104158-l7s2utqb	82	25	can	can	AUX
cord-104158-l7s2utqb	82	26	be	be	AUX
cord-104158-l7s2utqb	82	27	derived	derive	VERB
cord-104158-l7s2utqb	82	28	using	use	VERB
cord-104158-l7s2utqb	82	29	pontryagin	pontryagin	NOUN
cord-104158-l7s2utqb	82	30	's	's	PART
cord-104158-l7s2utqb	82	31	maximum	maximum	ADJ
cord-104158-l7s2utqb	82	32	principle	principle	NOUN
cord-104158-l7s2utqb	82	33	[	[	X
cord-104158-l7s2utqb	82	34	38	38	NUM
cord-104158-l7s2utqb	82	35	]	]	PUNCT
cord-104158-l7s2utqb	82	36	or	or	CCONJ
cord-104158-l7s2utqb	82	37	the	the	DET
cord-104158-l7s2utqb	82	38	hamilton	hamilton	PROPN
cord-104158-l7s2utqb	82	39	-	-	PUNCT
cord-104158-l7s2utqb	82	40	jacobi	jacobi	PROPN
cord-104158-l7s2utqb	82	41	-	-	PUNCT
cord-104158-l7s2utqb	82	42	bellman	bellman	PROPN
cord-104158-l7s2utqb	82	43	equations	equation	VERB
cord-104158-l7s2utqb	83	1	[	[	X
cord-104158-l7s2utqb	83	2	37	37	NUM
cord-104158-l7s2utqb	83	3	]	]	PUNCT
cord-104158-l7s2utqb	83	4	.	.	PUNCT
cord-104158-l7s2utqb	83	5	.	.	PUNCT
cord-104158-l7s2utqb	84	1	cc	cc	X
cord-104158-l7s2utqb	84	2	-	-	PUNCT
cord-104158-l7s2utqb	84	3	by	by	ADP
cord-104158-l7s2utqb	84	4	-	-	PUNCT
cord-104158-l7s2utqb	84	5	nc	nc	PROPN
cord-104158-l7s2utqb	84	6	-	-	PUNCT
cord-104158-l7s2utqb	84	7	nd	nd	PROPN
cord-104158-l7s2utqb	84	8	4.0	4.0	NUM
cord-104158-l7s2utqb	84	9	international	international	ADJ
cord-104158-l7s2utqb	84	10	license	license	NOUN
cord-104158-l7s2utqb	84	11	it	it	PRON
cord-104158-l7s2utqb	84	12	is	be	AUX
cord-104158-l7s2utqb	84	13	made	make	VERB
cord-104158-l7s2utqb	84	14	available	available	ADJ
cord-104158-l7s2utqb	84	15	under	under	ADP
cord-104158-l7s2utqb	84	16	a	a	PRON
cord-104158-l7s2utqb	84	17	is	be	AUX
cord-104158-l7s2utqb	84	18	the	the	DET
cord-104158-l7s2utqb	84	19	author	author	NOUN
cord-104158-l7s2utqb	84	20	/	/	SYM
cord-104158-l7s2utqb	84	21	funder	funder	NOUN
cord-104158-l7s2utqb	84	22	,	,	PUNCT
cord-104158-l7s2utqb	84	23	who	who	PRON
cord-104158-l7s2utqb	84	24	has	have	AUX
cord-104158-l7s2utqb	84	25	granted	grant	VERB
cord-104158-l7s2utqb	84	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	84	27	a	a	DET
cord-104158-l7s2utqb	84	28	license	license	NOUN
cord-104158-l7s2utqb	84	29	to	to	PART
cord-104158-l7s2utqb	84	30	display	display	VERB
cord-104158-l7s2utqb	84	31	the	the	DET
cord-104158-l7s2utqb	84	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	84	33	in	in	ADP
cord-104158-l7s2utqb	84	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	84	35	.	.	PUNCT
cord-104158-l7s2utqb	85	1	(	(	PUNCT
cord-104158-l7s2utqb	85	2	which	which	PRON
cord-104158-l7s2utqb	85	3	was	be	AUX
cord-104158-l7s2utqb	85	4	not	not	PART
cord-104158-l7s2utqb	85	5	certified	certify	VERB
cord-104158-l7s2utqb	85	6	by	by	ADP
cord-104158-l7s2utqb	85	7	peer	peer	NOUN
cord-104158-l7s2utqb	85	8	review	review	NOUN
cord-104158-l7s2utqb	85	9	)	)	PUNCT
cord-104158-l7s2utqb	85	10	preprint	preprint	VERB
cord-104158-l7s2utqb	85	11	the	the	DET
cord-104158-l7s2utqb	85	12	copyright	copyright	NOUN
cord-104158-l7s2utqb	85	13	holder	holder	NOUN
cord-104158-l7s2utqb	85	14	for	for	ADP
cord-104158-l7s2utqb	85	15	this	this	PRON
cord-104158-l7s2utqb	85	16	this	this	DET
cord-104158-l7s2utqb	85	17	version	version	NOUN
cord-104158-l7s2utqb	85	18	posted	post	VERB
cord-104158-l7s2utqb	85	19	november	november	PROPN
cord-104158-l7s2utqb	85	20	13	13	NUM
cord-104158-l7s2utqb	85	21	,	,	PUNCT
cord-104158-l7s2utqb	85	22	2020	2020	NUM
cord-104158-l7s2utqb	85	23	.	.	PUNCT
cord-104158-l7s2utqb	86	1	;	;	PUNCT
cord-104158-l7s2utqb	86	2	though	though	SCONJ
cord-104158-l7s2utqb	86	3	there	there	PRON
cord-104158-l7s2utqb	86	4	exist	exist	VERB
cord-104158-l7s2utqb	86	5	comprehensive	comprehensive	ADJ
cord-104158-l7s2utqb	86	6	techniques	technique	NOUN
cord-104158-l7s2utqb	86	7	for	for	ADP
cord-104158-l7s2utqb	86	8	control	control	NOUN
cord-104158-l7s2utqb	86	9	of	of	ADP
cord-104158-l7s2utqb	86	10	linear	linear	PROPN
cord-104158-l7s2utqb	86	11	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	86	12	systems	system	NOUN
cord-104158-l7s2utqb	86	13	,	,	PUNCT
cord-104158-l7s2utqb	86	14	the	the	DET
cord-104158-l7s2utqb	86	15	control	control	NOUN
cord-104158-l7s2utqb	86	16	strategies	strategy	NOUN
cord-104158-l7s2utqb	86	17	for	for	ADP
cord-104158-l7s2utqb	86	18	non	non	ADJ
cord-104158-l7s2utqb	86	19	-	-	ADJ
cord-104158-l7s2utqb	86	20	linear	linear	ADJ
cord-104158-l7s2utqb	86	21	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	86	22	systems	system	NOUN
cord-104158-l7s2utqb	86	23	rely	rely	VERB
cord-104158-l7s2utqb	86	24	heavily	heavily	ADV
cord-104158-l7s2utqb	86	25	on	on	ADP
cord-104158-l7s2utqb	86	26	the	the	DET
cord-104158-l7s2utqb	86	27	existence	existence	NOUN
cord-104158-l7s2utqb	86	28	of	of	ADP
cord-104158-l7s2utqb	86	29	control	control	NOUN
cord-104158-l7s2utqb	86	30	-	-	PUNCT
cord-104158-l7s2utqb	86	31	lyapunov	lyapunov	NOUN
cord-104158-l7s2utqb	86	32	functions	function	NOUN
cord-104158-l7s2utqb	86	33	,	,	PUNCT
cord-104158-l7s2utqb	86	34	which	which	PRON
cord-104158-l7s2utqb	86	35	are	be	AUX
cord-104158-l7s2utqb	86	36	typically	typically	ADV
cord-104158-l7s2utqb	86	37	identified	identify	VERB
cord-104158-l7s2utqb	86	38	using	use	VERB
cord-104158-l7s2utqb	86	39	conservation	conservation	NOUN
cord-104158-l7s2utqb	86	40	laws	law	NOUN
cord-104158-l7s2utqb	86	41	of	of	ADP
cord-104158-l7s2utqb	86	42	the	the	DET
cord-104158-l7s2utqb	86	43	associated	associated	ADJ
cord-104158-l7s2utqb	86	44	physical	physical	ADJ
cord-104158-l7s2utqb	86	45	systems	system	NOUN
cord-104158-l7s2utqb	86	46	.	.	PUNCT
cord-104158-l7s2utqb	87	1	once	once	ADV
cord-104158-l7s2utqb	87	2	a	a	DET
cord-104158-l7s2utqb	87	3	suitable	suitable	ADJ
cord-104158-l7s2utqb	87	4	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	87	5	function	function	NOUN
cord-104158-l7s2utqb	87	6	is	be	AUX
cord-104158-l7s2utqb	87	7	identified	identify	VERB
cord-104158-l7s2utqb	87	8	,	,	PUNCT
cord-104158-l7s2utqb	87	9	there	there	PRON
cord-104158-l7s2utqb	87	10	exist	exist	VERB
cord-104158-l7s2utqb	87	11	multiple	multiple	ADJ
cord-104158-l7s2utqb	87	12	control	control	NOUN
cord-104158-l7s2utqb	87	13	design	design	NOUN
cord-104158-l7s2utqb	87	14	strategies	strategy	NOUN
cord-104158-l7s2utqb	87	15	such	such	ADJ
cord-104158-l7s2utqb	87	16	as	as	ADP
cord-104158-l7s2utqb	87	17	feedback	feedback	NOUN
cord-104158-l7s2utqb	87	18	linearization	linearization	NOUN
cord-104158-l7s2utqb	87	19	,	,	PUNCT
cord-104158-l7s2utqb	87	20	backstepping	backstepping	NOUN
cord-104158-l7s2utqb	87	21	and	and	CCONJ
cord-104158-l7s2utqb	87	22	sliding	slide	VERB
cord-104158-l7s2utqb	87	23	mode	mode	NOUN
cord-104158-l7s2utqb	87	24	control	control	NOUN
cord-104158-l7s2utqb	87	25	that	that	PRON
cord-104158-l7s2utqb	87	26	are	be	AUX
cord-104158-l7s2utqb	87	27	guaranteed	guarantee	VERB
cord-104158-l7s2utqb	87	28	to	to	PART
cord-104158-l7s2utqb	87	29	converge	converge	VERB
cord-104158-l7s2utqb	87	30	using	use	VERB
cord-104158-l7s2utqb	87	31	artstein	artstein	PROPN
cord-104158-l7s2utqb	87	32	's	's	PART
cord-104158-l7s2utqb	87	33	theorem	theorem	NOUN
cord-104158-l7s2utqb	87	34	[	[	X
cord-104158-l7s2utqb	87	35	43	43	NUM
cord-104158-l7s2utqb	87	36	]	]	PUNCT
cord-104158-l7s2utqb	87	37	.	.	PUNCT
cord-104158-l7s2utqb	88	1	in	in	ADP
cord-104158-l7s2utqb	88	2	the	the	DET
cord-104158-l7s2utqb	88	3	case	case	NOUN
cord-104158-l7s2utqb	88	4	of	of	ADP
cord-104158-l7s2utqb	88	5	the	the	DET
cord-104158-l7s2utqb	88	6	sir	sir	PROPN
cord-104158-l7s2utqb	88	7	model	model	NOUN
cord-104158-l7s2utqb	88	8	,	,	PUNCT
cord-104158-l7s2utqb	88	9	a	a	DET
cord-104158-l7s2utqb	88	10	suitable	suitable	ADJ
cord-104158-l7s2utqb	88	11	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	88	12	function	function	NOUN
cord-104158-l7s2utqb	88	13	is	be	AUX
cord-104158-l7s2utqb	88	14	not	not	PART
cord-104158-l7s2utqb	88	15	readily	readily	ADV
cord-104158-l7s2utqb	88	16	evident	evident	ADJ
cord-104158-l7s2utqb	88	17	.	.	PUNCT
cord-104158-l7s2utqb	89	1	on	on	ADP
cord-104158-l7s2utqb	89	2	the	the	DET
cord-104158-l7s2utqb	89	3	other	other	ADJ
cord-104158-l7s2utqb	89	4	hand	hand	NOUN
cord-104158-l7s2utqb	89	5	,	,	PUNCT
cord-104158-l7s2utqb	89	6	lyapunov	lyapunov	PROPN
cord-104158-l7s2utqb	89	7	stability	stability	NOUN
cord-104158-l7s2utqb	89	8	and	and	CCONJ
cord-104158-l7s2utqb	89	9	practical	practical	ADJ
cord-104158-l7s2utqb	89	10	control	control	NOUN
cord-104158-l7s2utqb	89	11	strategies	strategy	NOUN
cord-104158-l7s2utqb	89	12	of	of	ADP
cord-104158-l7s2utqb	89	13	lv	lv	PROPN
cord-104158-l7s2utqb	89	14	systems	systems	PROPN
cord-104158-l7s2utqb	89	15	have	have	AUX
cord-104158-l7s2utqb	89	16	been	be	AUX
cord-104158-l7s2utqb	89	17	extensively	extensively	ADV
cord-104158-l7s2utqb	89	18	studied	study	VERB
cord-104158-l7s2utqb	89	19	[	[	X
cord-104158-l7s2utqb	89	20	34	34	NUM
cord-104158-l7s2utqb	89	21	,	,	PUNCT
cord-104158-l7s2utqb	89	22	36	36	NUM
cord-104158-l7s2utqb	89	23	,	,	PUNCT
cord-104158-l7s2utqb	89	24	32	32	NUM
cord-104158-l7s2utqb	89	25	,	,	PUNCT
cord-104158-l7s2utqb	89	26	19	19	NUM
cord-104158-l7s2utqb	89	27	]	]	PUNCT
cord-104158-l7s2utqb	89	28	.	.	PUNCT
cord-104158-l7s2utqb	90	1	our	our	PRON
cord-104158-l7s2utqb	90	2	primary	primary	ADJ
cord-104158-l7s2utqb	90	3	goal	goal	NOUN
cord-104158-l7s2utqb	90	4	is	be	AUX
cord-104158-l7s2utqb	90	5	to	to	PART
cord-104158-l7s2utqb	90	6	solve	solve	VERB
cord-104158-l7s2utqb	90	7	the	the	DET
cord-104158-l7s2utqb	90	8	contact	contact	NOUN
cord-104158-l7s2utqb	90	9	restriction	restriction	NOUN
cord-104158-l7s2utqb	90	10	control	control	NOUN
cord-104158-l7s2utqb	90	11	problem	problem	NOUN
cord-104158-l7s2utqb	90	12	in	in	ADP
cord-104158-l7s2utqb	90	13	section	section	NOUN
cord-104158-l7s2utqb	90	14	2	2	NUM
cord-104158-l7s2utqb	90	15	.	.	PUNCT
cord-104158-l7s2utqb	91	1	we	we	PRON
cord-104158-l7s2utqb	91	2	choose	choose	VERB
cord-104158-l7s2utqb	91	3	to	to	PART
cord-104158-l7s2utqb	91	4	mainly	mainly	ADV
cord-104158-l7s2utqb	91	5	focus	focus	VERB
cord-104158-l7s2utqb	91	6	on	on	ADP
cord-104158-l7s2utqb	91	7	sir	sir	PROPN
cord-104158-l7s2utqb	91	8	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	91	9	because	because	SCONJ
cord-104158-l7s2utqb	91	10	it	it	PRON
cord-104158-l7s2utqb	91	11	captures	capture	VERB
cord-104158-l7s2utqb	91	12	the	the	DET
cord-104158-l7s2utqb	91	13	core	core	NOUN
cord-104158-l7s2utqb	91	14	disease	disease	NOUN
cord-104158-l7s2utqb	91	15	spread	spread	VERB
cord-104158-l7s2utqb	91	16	mechanism	mechanism	NOUN
cord-104158-l7s2utqb	91	17	that	that	PRON
cord-104158-l7s2utqb	91	18	is	be	AUX
cord-104158-l7s2utqb	91	19	an	an	DET
cord-104158-l7s2utqb	91	20	essential	essential	ADJ
cord-104158-l7s2utqb	91	21	element	element	NOUN
cord-104158-l7s2utqb	91	22	of	of	ADP
cord-104158-l7s2utqb	91	23	most	most	ADJ
cord-104158-l7s2utqb	91	24	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	91	25	models	model	NOUN
cord-104158-l7s2utqb	91	26	.	.	PUNCT
cord-104158-l7s2utqb	92	1	since	since	SCONJ
cord-104158-l7s2utqb	92	2	existing	exist	VERB
cord-104158-l7s2utqb	92	3	work	work	NOUN
cord-104158-l7s2utqb	92	4	on	on	ADP
cord-104158-l7s2utqb	92	5	stability	stability	NOUN
cord-104158-l7s2utqb	92	6	analysis	analysis	NOUN
cord-104158-l7s2utqb	92	7	of	of	ADP
cord-104158-l7s2utqb	92	8	sir	sir	PROPN
cord-104158-l7s2utqb	92	9	models	model	NOUN
cord-104158-l7s2utqb	92	10	[	[	X
cord-104158-l7s2utqb	92	11	5	5	NUM
cord-104158-l7s2utqb	92	12	]	]	PUNCT
cord-104158-l7s2utqb	92	13	does	do	AUX
cord-104158-l7s2utqb	92	14	not	not	PART
cord-104158-l7s2utqb	92	15	address	address	VERB
cord-104158-l7s2utqb	92	16	controllability	controllability	NOUN
cord-104158-l7s2utqb	92	17	,	,	PUNCT
cord-104158-l7s2utqb	92	18	we	we	PRON
cord-104158-l7s2utqb	92	19	first	first	ADV
cord-104158-l7s2utqb	92	20	establish	establish	VERB
cord-104158-l7s2utqb	92	21	a	a	DET
cord-104158-l7s2utqb	92	22	connection	connection	NOUN
cord-104158-l7s2utqb	92	23	between	between	ADP
cord-104158-l7s2utqb	92	24	the	the	DET
cord-104158-l7s2utqb	92	25	sir	sir	PROPN
cord-104158-l7s2utqb	92	26	model	model	NOUN
cord-104158-l7s2utqb	92	27	and	and	CCONJ
cord-104158-l7s2utqb	92	28	lv	lv	PROPN
cord-104158-l7s2utqb	92	29	system	system	NOUN
cord-104158-l7s2utqb	92	30	,	,	PUNCT
cord-104158-l7s2utqb	92	31	which	which	PRON
cord-104158-l7s2utqb	92	32	is	be	AUX
cord-104158-l7s2utqb	92	33	more	more	ADV
cord-104158-l7s2utqb	92	34	amenable	amenable	ADJ
cord-104158-l7s2utqb	92	35	to	to	ADP
cord-104158-l7s2utqb	92	36	principled	principle	VERB
cord-104158-l7s2utqb	92	37	control	control	NOUN
cord-104158-l7s2utqb	92	38	.	.	PUNCT
cord-104158-l7s2utqb	93	1	in	in	ADP
cord-104158-l7s2utqb	93	2	section	section	NOUN
cord-104158-l7s2utqb	93	3	5	5	NUM
cord-104158-l7s2utqb	93	4	,	,	PUNCT
cord-104158-l7s2utqb	93	5	we	we	PRON
cord-104158-l7s2utqb	93	6	leverage	leverage	VERB
cord-104158-l7s2utqb	93	7	the	the	DET
cord-104158-l7s2utqb	93	8	properties	property	NOUN
cord-104158-l7s2utqb	93	9	of	of	ADP
cord-104158-l7s2utqb	93	10	the	the	DET
cord-104158-l7s2utqb	93	11	lv	lv	PROPN
cord-104158-l7s2utqb	93	12	system	system	NOUN
cord-104158-l7s2utqb	93	13	to	to	PART
cord-104158-l7s2utqb	93	14	propose	propose	VERB
cord-104158-l7s2utqb	93	15	strategies	strategy	NOUN
cord-104158-l7s2utqb	93	16	for	for	ADP
cord-104158-l7s2utqb	93	17	restriction	restriction	NOUN
cord-104158-l7s2utqb	93	18	control	control	NOUN
cord-104158-l7s2utqb	93	19	.	.	PUNCT
cord-104158-l7s2utqb	94	1	the	the	DET
cord-104158-l7s2utqb	94	2	problem	problem	NOUN
cord-104158-l7s2utqb	94	3	of	of	ADP
cord-104158-l7s2utqb	94	4	stabilizing	stabilize	VERB
cord-104158-l7s2utqb	94	5	infection	infection	NOUN
cord-104158-l7s2utqb	94	6	levels	level	NOUN
cord-104158-l7s2utqb	94	7	assuming	assume	VERB
cord-104158-l7s2utqb	94	8	sir	sir	PROPN
cord-104158-l7s2utqb	94	9	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	94	10	has	have	VERB
cord-104158-l7s2utqb	94	11	a	a	DET
cord-104158-l7s2utqb	94	12	direct	direct	ADJ
cord-104158-l7s2utqb	94	13	analogy	analogy	NOUN
cord-104158-l7s2utqb	94	14	with	with	ADP
cord-104158-l7s2utqb	94	15	population	population	NOUN
cord-104158-l7s2utqb	94	16	control	control	NOUN
cord-104158-l7s2utqb	94	17	in	in	ADP
cord-104158-l7s2utqb	94	18	lv	lv	PROPN
cord-104158-l7s2utqb	94	19	predator	predator	PROPN
cord-104158-l7s2utqb	94	20	-	-	PUNCT
cord-104158-l7s2utqb	94	21	prey	prey	NOUN
cord-104158-l7s2utqb	94	22	systems	system	NOUN
cord-104158-l7s2utqb	94	23	where	where	SCONJ
cord-104158-l7s2utqb	94	24	it	it	PRON
cord-104158-l7s2utqb	94	25	is	be	AUX
cord-104158-l7s2utqb	94	26	desirable	desirable	ADJ
cord-104158-l7s2utqb	94	27	to	to	PART
cord-104158-l7s2utqb	94	28	maintain	maintain	VERB
cord-104158-l7s2utqb	94	29	the	the	DET
cord-104158-l7s2utqb	94	30	predator	predator	NOUN
cord-104158-l7s2utqb	94	31	and	and	CCONJ
cord-104158-l7s2utqb	94	32	prey	prey	NOUN
cord-104158-l7s2utqb	94	33	population	population	NOUN
cord-104158-l7s2utqb	94	34	at	at	ADP
cord-104158-l7s2utqb	94	35	certain	certain	ADJ
cord-104158-l7s2utqb	94	36	target	target	NOUN
cord-104158-l7s2utqb	94	37	levels	level	NOUN
cord-104158-l7s2utqb	94	38	suitable	suitable	ADJ
cord-104158-l7s2utqb	94	39	for	for	ADP
cord-104158-l7s2utqb	94	40	the	the	DET
cord-104158-l7s2utqb	94	41	ecosystem	ecosystem	NOUN
cord-104158-l7s2utqb	94	42	.	.	PUNCT
cord-104158-l7s2utqb	95	1	comparing	compare	VERB
cord-104158-l7s2utqb	95	2	the	the	DET
cord-104158-l7s2utqb	95	3	sir	sir	PROPN
cord-104158-l7s2utqb	95	4	and	and	CCONJ
cord-104158-l7s2utqb	95	5	lv	lv	PROPN
cord-104158-l7s2utqb	95	6	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	95	7	in	in	ADP
cord-104158-l7s2utqb	95	8	fig	fig	NOUN
cord-104158-l7s2utqb	95	9	2	2	NUM
cord-104158-l7s2utqb	95	10	,	,	PUNCT
cord-104158-l7s2utqb	95	11	we	we	PRON
cord-104158-l7s2utqb	95	12	observe	observe	VERB
cord-104158-l7s2utqb	95	13	that	that	SCONJ
cord-104158-l7s2utqb	95	14	the	the	DET
cord-104158-l7s2utqb	95	15	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	95	16	of	of	ADP
cord-104158-l7s2utqb	95	17	the	the	DET
cord-104158-l7s2utqb	95	18	infectious	infectious	ADJ
cord-104158-l7s2utqb	95	19	people	people	NOUN
cord-104158-l7s2utqb	95	20	(	(	PUNCT
cord-104158-l7s2utqb	95	21	i	i	NOUN
cord-104158-l7s2utqb	95	22	)	)	PUNCT
cord-104158-l7s2utqb	95	23	is	be	AUX
cord-104158-l7s2utqb	95	24	similar	similar	ADJ
cord-104158-l7s2utqb	95	25	to	to	ADP
cord-104158-l7s2utqb	95	26	that	that	PRON
cord-104158-l7s2utqb	95	27	of	of	ADP
cord-104158-l7s2utqb	95	28	the	the	DET
cord-104158-l7s2utqb	95	29	"	"	PUNCT
cord-104158-l7s2utqb	95	30	predators	predator	NOUN
cord-104158-l7s2utqb	95	31	"	"	PUNCT
cord-104158-l7s2utqb	95	32	(	(	PUNCT
cord-104158-l7s2utqb	95	33	q	q	NOUN
cord-104158-l7s2utqb	95	34	)	)	PUNCT
cord-104158-l7s2utqb	95	35	.	.	PUNCT
cord-104158-l7s2utqb	96	1	there	there	PRON
cord-104158-l7s2utqb	96	2	is	be	VERB
cord-104158-l7s2utqb	96	3	an	an	DET
cord-104158-l7s2utqb	96	4	inflow	inflow	NOUN
cord-104158-l7s2utqb	96	5	(	(	PUNCT
cord-104158-l7s2utqb	96	6	birth	birth	NOUN
cord-104158-l7s2utqb	96	7	)	)	PUNCT
cord-104158-l7s2utqb	96	8	βsi	βsi	NOUN
cord-104158-l7s2utqb	96	9	/	/	SYM
cord-104158-l7s2utqb	96	10	n	n	NOUN
cord-104158-l7s2utqb	96	11	that	that	PRON
cord-104158-l7s2utqb	96	12	depends	depend	VERB
cord-104158-l7s2utqb	96	13	on	on	ADP
cord-104158-l7s2utqb	96	14	β	β	NOUN
cord-104158-l7s2utqb	96	15	as	as	ADV
cord-104158-l7s2utqb	96	16	well	well	ADV
cord-104158-l7s2utqb	96	17	as	as	ADP
cord-104158-l7s2utqb	96	18	the	the	DET
cord-104158-l7s2utqb	96	19	current	current	ADJ
cord-104158-l7s2utqb	96	20	infectious	infectious	ADJ
cord-104158-l7s2utqb	96	21	&	&	CCONJ
cord-104158-l7s2utqb	96	22	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	96	23	population	population	NOUN
cord-104158-l7s2utqb	96	24	and	and	CCONJ
cord-104158-l7s2utqb	96	25	an	an	DET
cord-104158-l7s2utqb	96	26	outflow	outflow	NOUN
cord-104158-l7s2utqb	96	27	(	(	PUNCT
cord-104158-l7s2utqb	96	28	death	death	NOUN
cord-104158-l7s2utqb	96	29	)	)	PUNCT
cord-104158-l7s2utqb	96	30	γi	γi	ADP
cord-104158-l7s2utqb	96	31	from	from	ADP
cord-104158-l7s2utqb	96	32	the	the	DET
cord-104158-l7s2utqb	96	33	i	i	NOUN
cord-104158-l7s2utqb	96	34	to	to	ADP
cord-104158-l7s2utqb	96	35	the	the	DET
cord-104158-l7s2utqb	96	36	r	r	NOUN
cord-104158-l7s2utqb	96	37	compartment	compartment	NOUN
cord-104158-l7s2utqb	96	38	.	.	PUNCT
cord-104158-l7s2utqb	97	1	however	however	ADV
cord-104158-l7s2utqb	97	2	,	,	PUNCT
cord-104158-l7s2utqb	97	3	the	the	DET
cord-104158-l7s2utqb	97	4	counterpart	counterpart	NOUN
cord-104158-l7s2utqb	97	5	for	for	ADP
cord-104158-l7s2utqb	97	6	the	the	DET
cord-104158-l7s2utqb	97	7	"	"	PUNCT
cord-104158-l7s2utqb	97	8	prey	prey	NOUN
cord-104158-l7s2utqb	97	9	"	"	PUNCT
cord-104158-l7s2utqb	97	10	is	be	AUX
cord-104158-l7s2utqb	97	11	not	not	PART
cord-104158-l7s2utqb	97	12	readily	readily	ADV
cord-104158-l7s2utqb	97	13	apparent	apparent	ADJ
cord-104158-l7s2utqb	97	14	.	.	PUNCT
cord-104158-l7s2utqb	98	1	an	an	DET
cord-104158-l7s2utqb	98	2	intuitive	intuitive	ADJ
cord-104158-l7s2utqb	98	3	choice	choice	NOUN
cord-104158-l7s2utqb	98	4	for	for	ADP
cord-104158-l7s2utqb	98	5	"	"	PUNCT
cord-104158-l7s2utqb	98	6	prey	prey	NOUN
cord-104158-l7s2utqb	98	7	"	"	PUNCT
cord-104158-l7s2utqb	98	8	is	be	AUX
cord-104158-l7s2utqb	98	9	the	the	DET
cord-104158-l7s2utqb	98	10	"	"	PUNCT
cord-104158-l7s2utqb	98	11	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	98	12	contacts	contact	NOUN
cord-104158-l7s2utqb	98	13	"	"	PUNCT
cord-104158-l7s2utqb	98	14	(	(	PUNCT
cord-104158-l7s2utqb	98	15	i.e.	i.e.	X
cord-104158-l7s2utqb	98	16	,	,	PUNCT
cord-104158-l7s2utqb	98	17	the	the	DET
cord-104158-l7s2utqb	98	18	product	product	NOUN
cord-104158-l7s2utqb	98	19	of	of	ADP
cord-104158-l7s2utqb	98	20	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	98	21	people	people	NOUN
cord-104158-l7s2utqb	98	22	and	and	CCONJ
cord-104158-l7s2utqb	98	23	β	β	NOUN
cord-104158-l7s2utqb	98	24	,	,	PUNCT
cord-104158-l7s2utqb	98	25	the	the	DET
cord-104158-l7s2utqb	98	26	#	#	SYM
cord-104158-l7s2utqb	98	27	contacts	contact	NOUN
cord-104158-l7s2utqb	98	28	of	of	ADP
cord-104158-l7s2utqb	98	29	an	an	DET
cord-104158-l7s2utqb	98	30	infectious	infectious	ADJ
cord-104158-l7s2utqb	98	31	person	person	NOUN
cord-104158-l7s2utqb	98	32	per	per	ADP
cord-104158-l7s2utqb	98	33	day	day	NOUN
cord-104158-l7s2utqb	98	34	)	)	PUNCT
cord-104158-l7s2utqb	98	35	since	since	SCONJ
cord-104158-l7s2utqb	98	36	this	this	PRON
cord-104158-l7s2utqb	98	37	acts	act	VERB
cord-104158-l7s2utqb	98	38	as	as	ADP
cord-104158-l7s2utqb	98	39	"	"	PUNCT
cord-104158-l7s2utqb	98	40	nourishment	nourishment	NOUN
cord-104158-l7s2utqb	98	41	"	"	PUNCT
cord-104158-l7s2utqb	98	42	to	to	ADP
cord-104158-l7s2utqb	98	43	the	the	DET
cord-104158-l7s2utqb	98	44	predators	predator	NOUN
cord-104158-l7s2utqb	98	45	and	and	CCONJ
cord-104158-l7s2utqb	98	46	contributes	contribute	VERB
cord-104158-l7s2utqb	98	47	to	to	ADP
cord-104158-l7s2utqb	98	48	the	the	DET
cord-104158-l7s2utqb	98	49	inflow	inflow	NOUN
cord-104158-l7s2utqb	98	50	into	into	ADP
cord-104158-l7s2utqb	98	51	the	the	DET
cord-104158-l7s2utqb	98	52	i	i	NOUN
cord-104158-l7s2utqb	98	53	compartment	compartment	NOUN
cord-104158-l7s2utqb	98	54	.	.	PUNCT
cord-104158-l7s2utqb	99	1	denoting	denote	VERB
cord-104158-l7s2utqb	99	2	the	the	DET
cord-104158-l7s2utqb	99	3	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	99	4	contacts	contact	NOUN
cord-104158-l7s2utqb	99	5	by	by	ADP
cord-104158-l7s2utqb	99	6	j	j	PROPN
cord-104158-l7s2utqb	99	7	=	=	PROPN
cord-104158-l7s2utqb	99	8	βs	βs	INTJ
cord-104158-l7s2utqb	99	9	,	,	PUNCT
cord-104158-l7s2utqb	99	10	we	we	PRON
cord-104158-l7s2utqb	99	11	note	note	VERB
cord-104158-l7s2utqb	99	12	that	that	DET
cord-104158-l7s2utqb	99	13	equivalence	equivalence	NOUN
cord-104158-l7s2utqb	99	14	with	with	ADP
cord-104158-l7s2utqb	99	15	the	the	DET
cord-104158-l7s2utqb	99	16	lv	lv	PROPN
cord-104158-l7s2utqb	99	17	system	system	NOUN
cord-104158-l7s2utqb	99	18	requireṡ	requireṡ	NOUN
cord-104158-l7s2utqb	99	19	(	(	PUNCT
cord-104158-l7s2utqb	99	20	1	1	X
cord-104158-l7s2utqb	99	21	)	)	PUNCT
cord-104158-l7s2utqb	99	22	hence	hence	ADV
cord-104158-l7s2utqb	99	23	,	,	PUNCT
cord-104158-l7s2utqb	99	24	the	the	DET
cord-104158-l7s2utqb	99	25	transmission	transmission	NOUN
cord-104158-l7s2utqb	99	26	rate	rate	NOUN
cord-104158-l7s2utqb	99	27	β	β	NOUN
cord-104158-l7s2utqb	99	28	has	have	VERB
cord-104158-l7s2utqb	99	29	to	to	PART
cord-104158-l7s2utqb	99	30	folloẇ	folloẇ	VERB
cord-104158-l7s2utqb	99	31	this	this	DET
cord-104158-l7s2utqb	99	32	modified	modify	VERB
cord-104158-l7s2utqb	99	33	version	version	NOUN
cord-104158-l7s2utqb	99	34	of	of	ADP
cord-104158-l7s2utqb	99	35	sir	sir	PROPN
cord-104158-l7s2utqb	99	36	model	model	PROPN
cord-104158-l7s2utqb	99	37	(	(	PUNCT
cord-104158-l7s2utqb	99	38	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	99	39	)	)	PUNCT
cord-104158-l7s2utqb	99	40	maps	map	NOUN
cord-104158-l7s2utqb	99	41	to	to	ADP
cord-104158-l7s2utqb	99	42	a	a	DET
cord-104158-l7s2utqb	99	43	lotka	lotka	PROPN
cord-104158-l7s2utqb	99	44	-	-	PUNCT
cord-104158-l7s2utqb	99	45	volterra	volterra	PROPN
cord-104158-l7s2utqb	99	46	system	system	NOUN
cord-104158-l7s2utqb	99	47	.	.	PUNCT
cord-104158-l7s2utqb	100	1	comparing	compare	VERB
cord-104158-l7s2utqb	100	2	the	the	DET
cord-104158-l7s2utqb	100	3	model	model	NOUN
cord-104158-l7s2utqb	100	4	parameters	parameter	NOUN
cord-104158-l7s2utqb	100	5	,	,	PUNCT
cord-104158-l7s2utqb	100	6	we	we	PRON
cord-104158-l7s2utqb	100	7	note	note	VERB
cord-104158-l7s2utqb	100	8	that	that	SCONJ
cord-104158-l7s2utqb	100	9	the	the	DET
cord-104158-l7s2utqb	100	10	inverse	inverse	NOUN
cord-104158-l7s2utqb	100	11	of	of	ADP
cord-104158-l7s2utqb	100	12	the	the	DET
cord-104158-l7s2utqb	100	13	infectious	infectious	ADJ
cord-104158-l7s2utqb	100	14	period	period	NOUN
cord-104158-l7s2utqb	100	15	(	(	PUNCT
cord-104158-l7s2utqb	100	16	γ	γ	NOUN
cord-104158-l7s2utqb	100	17	)	)	PUNCT
cord-104158-l7s2utqb	100	18	corresponds	correspond	VERB
cord-104158-l7s2utqb	100	19	to	to	ADP
cord-104158-l7s2utqb	100	20	the	the	DET
cord-104158-l7s2utqb	100	21	predator	predator	NOUN
cord-104158-l7s2utqb	100	22	death	death	NOUN
cord-104158-l7s2utqb	100	23	rate	rate	NOUN
cord-104158-l7s2utqb	100	24	(	(	PUNCT
cord-104158-l7s2utqb	100	25	d	d	NOUN
cord-104158-l7s2utqb	100	26	)	)	PUNCT
cord-104158-l7s2utqb	100	27	and	and	CCONJ
cord-104158-l7s2utqb	100	28	the	the	DET
cord-104158-l7s2utqb	100	29	inverse	inverse	NOUN
cord-104158-l7s2utqb	100	30	of	of	ADP
cord-104158-l7s2utqb	100	31	population	population	NOUN
cord-104158-l7s2utqb	100	32	(	(	PUNCT
cord-104158-l7s2utqb	100	33	1	1	NUM
cord-104158-l7s2utqb	100	34	/	/	SYM
cord-104158-l7s2utqb	100	35	n	n	NOUN
cord-104158-l7s2utqb	100	36	)	)	PUNCT
cord-104158-l7s2utqb	100	37	to	to	ADP
cord-104158-l7s2utqb	100	38	the	the	DET
cord-104158-l7s2utqb	100	39	predator	predator	NOUN
cord-104158-l7s2utqb	100	40	birth	birth	NOUN
cord-104158-l7s2utqb	100	41	rate	rate	NOUN
cord-104158-l7s2utqb	100	42	(	(	PUNCT
cord-104158-l7s2utqb	100	43	b	b	NOUN
cord-104158-l7s2utqb	100	44	)	)	PUNCT
cord-104158-l7s2utqb	100	45	.	.	PUNCT
cord-104158-l7s2utqb	101	1	we	we	PRON
cord-104158-l7s2utqb	101	2	now	now	ADV
cord-104158-l7s2utqb	101	3	analyze	analyze	VERB
cord-104158-l7s2utqb	101	4	the	the	DET
cord-104158-l7s2utqb	101	5	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	101	6	of	of	ADP
cord-104158-l7s2utqb	101	7	the	the	DET
cord-104158-l7s2utqb	101	8	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	101	9	system	system	NOUN
cord-104158-l7s2utqb	101	10	.	.	PUNCT
cord-104158-l7s2utqb	102	1	theorem	theorem	PROPN
cord-104158-l7s2utqb	102	2	1	1	NUM
cord-104158-l7s2utqb	102	3	4	4	NUM
cord-104158-l7s2utqb	102	4	for	for	ADP
cord-104158-l7s2utqb	102	5	the	the	DET
cord-104158-l7s2utqb	102	6	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	102	7	model	model	NOUN
cord-104158-l7s2utqb	102	8	in	in	ADP
cord-104158-l7s2utqb	102	9	fig	fig	PROPN
cord-104158-l7s2utqb	102	10	.	.	PUNCT
cord-104158-l7s2utqb	103	1	2(c	2(c	PUNCT
cord-104158-l7s2utqb	103	2	)	)	PUNCT
cord-104158-l7s2utqb	103	3	,	,	PUNCT
cord-104158-l7s2utqb	103	4	the	the	DET
cord-104158-l7s2utqb	103	5	following	following	NOUN
cord-104158-l7s2utqb	103	6	holds	hold	VERB
cord-104158-l7s2utqb	103	7	true	true	ADJ
cord-104158-l7s2utqb	103	8	:	:	PUNCT
cord-104158-l7s2utqb	103	9	4	4	NUM
cord-104158-l7s2utqb	103	10	please	please	INTJ
cord-104158-l7s2utqb	103	11	see	see	VERB
cord-104158-l7s2utqb	103	12	appendix	appendix	VERB
cord-104158-l7s2utqb	103	13	a	a	PRON
cord-104158-l7s2utqb	103	14	for	for	ADP
cord-104158-l7s2utqb	103	15	the	the	DET
cord-104158-l7s2utqb	103	16	proofs	proof	NOUN
cord-104158-l7s2utqb	103	17	.	.	PUNCT
cord-104158-l7s2utqb	103	18	.	.	PUNCT
cord-104158-l7s2utqb	104	1	cc	cc	X
cord-104158-l7s2utqb	104	2	-	-	PUNCT
cord-104158-l7s2utqb	104	3	by	by	ADP
cord-104158-l7s2utqb	104	4	-	-	PUNCT
cord-104158-l7s2utqb	104	5	nc	nc	PROPN
cord-104158-l7s2utqb	104	6	-	-	PUNCT
cord-104158-l7s2utqb	104	7	nd	nd	PROPN
cord-104158-l7s2utqb	104	8	4.0	4.0	NUM
cord-104158-l7s2utqb	104	9	international	international	ADJ
cord-104158-l7s2utqb	104	10	license	license	NOUN
cord-104158-l7s2utqb	104	11	it	it	PRON
cord-104158-l7s2utqb	104	12	is	be	AUX
cord-104158-l7s2utqb	104	13	made	make	VERB
cord-104158-l7s2utqb	104	14	available	available	ADJ
cord-104158-l7s2utqb	104	15	under	under	ADP
cord-104158-l7s2utqb	104	16	a	a	PRON
cord-104158-l7s2utqb	104	17	is	be	AUX
cord-104158-l7s2utqb	104	18	the	the	DET
cord-104158-l7s2utqb	104	19	author	author	NOUN
cord-104158-l7s2utqb	104	20	/	/	SYM
cord-104158-l7s2utqb	104	21	funder	funder	NOUN
cord-104158-l7s2utqb	104	22	,	,	PUNCT
cord-104158-l7s2utqb	104	23	who	who	PRON
cord-104158-l7s2utqb	104	24	has	have	AUX
cord-104158-l7s2utqb	104	25	granted	grant	VERB
cord-104158-l7s2utqb	104	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	104	27	a	a	DET
cord-104158-l7s2utqb	104	28	license	license	NOUN
cord-104158-l7s2utqb	104	29	to	to	PART
cord-104158-l7s2utqb	104	30	display	display	VERB
cord-104158-l7s2utqb	104	31	the	the	DET
cord-104158-l7s2utqb	104	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	104	33	in	in	ADP
cord-104158-l7s2utqb	104	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	104	35	.	.	PUNCT
cord-104158-l7s2utqb	105	1	where	where	SCONJ
cord-104158-l7s2utqb	105	2	(	(	PUNCT
cord-104158-l7s2utqb	105	3	x	x	X
cord-104158-l7s2utqb	105	4	min	min	X
cord-104158-l7s2utqb	105	5	,	,	PUNCT
cord-104158-l7s2utqb	105	6	x	x	PROPN
cord-104158-l7s2utqb	105	7	max	max	PROPN
cord-104158-l7s2utqb	105	8	)	)	PUNCT
cord-104158-l7s2utqb	105	9	are	be	AUX
cord-104158-l7s2utqb	105	10	defined	define	VERB
cord-104158-l7s2utqb	105	11	as	as	ADP
cord-104158-l7s2utqb	105	12	above	above	ADV
cord-104158-l7s2utqb	105	13	,	,	PUNCT
cord-104158-l7s2utqb	105	14	g(z	g(z	PROPN
cord-104158-l7s2utqb	105	15	)	)	PUNCT
cord-104158-l7s2utqb	105	16	=	=	NOUN
cord-104158-l7s2utqb	105	17	γ(e	γ(e	ADP
cord-104158-l7s2utqb	105	18	z	z	PROPN
cord-104158-l7s2utqb	105	19	−	−	PROPN
cord-104158-l7s2utqb	105	20	z	z	NOUN
cord-104158-l7s2utqb	105	21	−	−	SYM
cord-104158-l7s2utqb	105	22	1	1	NUM
cord-104158-l7s2utqb	105	23	)	)	PUNCT
cord-104158-l7s2utqb	105	24	−	−	PROPN
cord-104158-l7s2utqb	105	25	w	w	PROPN
cord-104158-l7s2utqb	105	26	0	0	NUM
cord-104158-l7s2utqb	105	27	,	,	PUNCT
cord-104158-l7s2utqb	105	28	and	and	CCONJ
cord-104158-l7s2utqb	105	29	f	f	PROPN
cord-104158-l7s2utqb	105	30	1	1	NUM
cord-104158-l7s2utqb	105	31	(	(	PUNCT
cord-104158-l7s2utqb	105	32	s	s	PROPN
cord-104158-l7s2utqb	105	33	)	)	PUNCT
cord-104158-l7s2utqb	105	34	,	,	PUNCT
cord-104158-l7s2utqb	105	35	f	f	PROPN
cord-104158-l7s2utqb	105	36	2	2	NUM
cord-104158-l7s2utqb	105	37	(	(	PUNCT
cord-104158-l7s2utqb	105	38	s	s	X
cord-104158-l7s2utqb	105	39	)	)	PUNCT
cord-104158-l7s2utqb	105	40	are	be	AUX
cord-104158-l7s2utqb	105	41	restrictions	restriction	NOUN
cord-104158-l7s2utqb	105	42	of	of	ADP
cord-104158-l7s2utqb	105	43	f	f	PROPN
cord-104158-l7s2utqb	105	44	(	(	PUNCT
cord-104158-l7s2utqb	105	45	s	s	PROPN
cord-104158-l7s2utqb	105	46	)	)	PUNCT
cord-104158-l7s2utqb	105	47	=	=	SYM
cord-104158-l7s2utqb	105	48	s	s	X
cord-104158-l7s2utqb	105	49	+	+	CCONJ
cord-104158-l7s2utqb	105	50	r	r	NOUN
cord-104158-l7s2utqb	105	51	log(1	log(1	NOUN
cord-104158-l7s2utqb	105	52	−	−	SYM
cord-104158-l7s2utqb	105	53	s	s	PROPN
cord-104158-l7s2utqb	105	54	r	r	NOUN
cord-104158-l7s2utqb	105	55	)	)	PUNCT
cord-104158-l7s2utqb	105	56	to	to	ADP
cord-104158-l7s2utqb	105	57	+	+	SCONJ
cord-104158-l7s2utqb	105	58	ve	ve	VERB
cord-104158-l7s2utqb	105	59	and	and	CCONJ
cord-104158-l7s2utqb	105	60	-ve	-ve	PROPN
cord-104158-l7s2utqb	105	61	ranges	range	NOUN
cord-104158-l7s2utqb	105	62	.	.	PUNCT
cord-104158-l7s2utqb	106	1	in	in	ADP
cord-104158-l7s2utqb	106	2	general	general	ADJ
cord-104158-l7s2utqb	106	3	,	,	PUNCT
cord-104158-l7s2utqb	106	4	t	t	NOUN
cord-104158-l7s2utqb	106	5	period	period	NOUN
cord-104158-l7s2utqb	106	6	has	have	VERB
cord-104158-l7s2utqb	106	7	the	the	DET
cord-104158-l7s2utqb	106	8	form	form	NOUN
cord-104158-l7s2utqb	106	9	g(r	g(r	PROPN
cord-104158-l7s2utqb	106	10	,	,	PUNCT
cord-104158-l7s2utqb	106	11	γ	γ	PROPN
cord-104158-l7s2utqb	106	12	,	,	PUNCT
cord-104158-l7s2utqb	106	13	w0	w0	PROPN
cord-104158-l7s2utqb	106	14	r	r	NOUN
cord-104158-l7s2utqb	106	15	)	)	PUNCT
cord-104158-l7s2utqb	106	16	with	with	ADP
cord-104158-l7s2utqb	106	17	approximation	approximation	NOUN
cord-104158-l7s2utqb	106	18	via	via	ADP
cord-104158-l7s2utqb	106	19	linearization	linearization	NOUN
cord-104158-l7s2utqb	106	20	yielding	yield	VERB
cord-104158-l7s2utqb	106	21	t	t	PROPN
cord-104158-l7s2utqb	106	22	period	period	NOUN
cord-104158-l7s2utqb	106	23	table	table	NOUN
cord-104158-l7s2utqb	106	24	2	2	NUM
cord-104158-l7s2utqb	106	25	.	.	PUNCT
cord-104158-l7s2utqb	107	1	similar	similar	ADJ
cord-104158-l7s2utqb	107	2	to	to	ADP
cord-104158-l7s2utqb	107	3	an	an	DET
cord-104158-l7s2utqb	107	4	lv	lv	PROPN
cord-104158-l7s2utqb	107	5	system	system	NOUN
cord-104158-l7s2utqb	107	6	,	,	PUNCT
cord-104158-l7s2utqb	107	7	the	the	DET
cord-104158-l7s2utqb	107	8	"	"	PUNCT
cord-104158-l7s2utqb	107	9	energy	energy	NOUN
cord-104158-l7s2utqb	107	10	"	"	PUNCT
cord-104158-l7s2utqb	107	11	which	which	PRON
cord-104158-l7s2utqb	107	12	corresponds	correspond	VERB
cord-104158-l7s2utqb	107	13	to	to	ADP
cord-104158-l7s2utqb	107	14	a	a	DET
cord-104158-l7s2utqb	107	15	weighted	weighted	ADJ
cord-104158-l7s2utqb	107	16	itakura	itakura	NOUN
cord-104158-l7s2utqb	107	17	-	-	PUNCT
cord-104158-l7s2utqb	107	18	saito	saito	ADJ
cord-104158-l7s2utqb	107	19	distance	distance	NOUN
cord-104158-l7s2utqb	107	20	[	[	PUNCT
cord-104158-l7s2utqb	107	21	26	26	NUM
cord-104158-l7s2utqb	107	22	]	]	PUNCT
cord-104158-l7s2utqb	107	23	between	between	ADP
cord-104158-l7s2utqb	107	24	6	6	NUM
cord-104158-l7s2utqb	107	25	.	.	PUNCT
cord-104158-l7s2utqb	108	1	cc	cc	X
cord-104158-l7s2utqb	108	2	-	-	PUNCT
cord-104158-l7s2utqb	108	3	by	by	ADP
cord-104158-l7s2utqb	108	4	-	-	PUNCT
cord-104158-l7s2utqb	108	5	nc	nc	PROPN
cord-104158-l7s2utqb	108	6	-	-	PUNCT
cord-104158-l7s2utqb	108	7	nd	nd	PROPN
cord-104158-l7s2utqb	108	8	4.0	4.0	NUM
cord-104158-l7s2utqb	108	9	international	international	ADJ
cord-104158-l7s2utqb	108	10	license	license	NOUN
cord-104158-l7s2utqb	108	11	it	it	PRON
cord-104158-l7s2utqb	108	12	is	be	AUX
cord-104158-l7s2utqb	108	13	made	make	VERB
cord-104158-l7s2utqb	108	14	available	available	ADJ
cord-104158-l7s2utqb	108	15	under	under	ADP
cord-104158-l7s2utqb	108	16	a	a	PRON
cord-104158-l7s2utqb	108	17	is	be	AUX
cord-104158-l7s2utqb	108	18	the	the	DET
cord-104158-l7s2utqb	108	19	author	author	NOUN
cord-104158-l7s2utqb	108	20	/	/	SYM
cord-104158-l7s2utqb	108	21	funder	funder	NOUN
cord-104158-l7s2utqb	108	22	,	,	PUNCT
cord-104158-l7s2utqb	108	23	who	who	PRON
cord-104158-l7s2utqb	108	24	has	have	AUX
cord-104158-l7s2utqb	108	25	granted	grant	VERB
cord-104158-l7s2utqb	108	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	108	27	a	a	DET
cord-104158-l7s2utqb	108	28	license	license	NOUN
cord-104158-l7s2utqb	108	29	to	to	PART
cord-104158-l7s2utqb	108	30	display	display	VERB
cord-104158-l7s2utqb	108	31	the	the	DET
cord-104158-l7s2utqb	108	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	108	33	in	in	ADP
cord-104158-l7s2utqb	108	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	108	35	.	.	PUNCT
cord-104158-l7s2utqb	109	1	the	the	DET
cord-104158-l7s2utqb	109	2	copyright	copyright	NOUN
cord-104158-l7s2utqb	109	3	holder	holder	NOUN
cord-104158-l7s2utqb	109	4	for	for	ADP
cord-104158-l7s2utqb	109	5	this	this	PRON
cord-104158-l7s2utqb	109	6	this	this	DET
cord-104158-l7s2utqb	109	7	version	version	NOUN
cord-104158-l7s2utqb	109	8	posted	post	VERB
cord-104158-l7s2utqb	109	9	november	november	PROPN
cord-104158-l7s2utqb	109	10	13	13	NUM
cord-104158-l7s2utqb	109	11	,	,	PUNCT
cord-104158-l7s2utqb	109	12	2020	2020	NUM
cord-104158-l7s2utqb	109	13	.	.	PUNCT
cord-104158-l7s2utqb	110	1	;	;	PUNCT
cord-104158-l7s2utqb	110	2	(	(	PUNCT
cord-104158-l7s2utqb	110	3	i	i	NOUN
cord-104158-l7s2utqb	110	4	,	,	PUNCT
cord-104158-l7s2utqb	110	5	j	j	PROPN
cord-104158-l7s2utqb	110	6	)	)	PUNCT
cord-104158-l7s2utqb	110	7	and	and	CCONJ
cord-104158-l7s2utqb	110	8	the	the	DET
cord-104158-l7s2utqb	110	9	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	110	10	(	(	PUNCT
cord-104158-l7s2utqb	110	11	i	i	PRON
cord-104158-l7s2utqb	110	12	*	*	PUNCT
cord-104158-l7s2utqb	110	13	,	,	PUNCT
cord-104158-l7s2utqb	110	14	j	j	PROPN
cord-104158-l7s2utqb	110	15	*	*	PUNCT
cord-104158-l7s2utqb	110	16	)	)	PUNCT
cord-104158-l7s2utqb	110	17	is	be	AUX
cord-104158-l7s2utqb	110	18	conserved	conserve	VERB
cord-104158-l7s2utqb	110	19	.	.	PUNCT
cord-104158-l7s2utqb	111	1	the	the	DET
cord-104158-l7s2utqb	111	2	infectious	infectious	ADJ
cord-104158-l7s2utqb	111	3	population	population	NOUN
cord-104158-l7s2utqb	111	4	i	i	PROPN
cord-104158-l7s2utqb	111	5	(	(	PUNCT
cord-104158-l7s2utqb	111	6	and	and	CCONJ
cord-104158-l7s2utqb	111	7	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	111	8	contacts	contact	NOUN
cord-104158-l7s2utqb	111	9	j	j	PROPN
cord-104158-l7s2utqb	111	10	)	)	PUNCT
cord-104158-l7s2utqb	111	11	oscillates	oscillate	NOUN
cord-104158-l7s2utqb	111	12	between	between	ADP
cord-104158-l7s2utqb	111	13	[	[	X
cord-104158-l7s2utqb	111	14	y	y	PROPN
cord-104158-l7s2utqb	111	15	min	min	PROPN
cord-104158-l7s2utqb	111	16	i	i	PRON
cord-104158-l7s2utqb	111	17	*	*	PROPN
cord-104158-l7s2utqb	111	18	,	,	PUNCT
cord-104158-l7s2utqb	111	19	y	y	PROPN
cord-104158-l7s2utqb	111	20	max	max	PROPN
cord-104158-l7s2utqb	112	1	i	i	PRON
cord-104158-l7s2utqb	112	2	*	*	PUNCT
cord-104158-l7s2utqb	112	3	]	]	PUNCT
cord-104158-l7s2utqb	113	1	(	(	PUNCT
cord-104158-l7s2utqb	113	2	and	and	CCONJ
cord-104158-l7s2utqb	113	3	[	[	X
cord-104158-l7s2utqb	113	4	x	x	X
cord-104158-l7s2utqb	113	5	min	min	X
cord-104158-l7s2utqb	113	6	j	j	PROPN
cord-104158-l7s2utqb	113	7	*	*	PUNCT
cord-104158-l7s2utqb	113	8	,	,	PUNCT
cord-104158-l7s2utqb	114	1	x	x	X
cord-104158-l7s2utqb	114	2	max	max	PROPN
cord-104158-l7s2utqb	114	3	j	j	PROPN
cord-104158-l7s2utqb	115	1	*	*	PUNCT
cord-104158-l7s2utqb	115	2	]	]	PUNCT
cord-104158-l7s2utqb	115	3	)	)	PUNCT
cord-104158-l7s2utqb	116	1	during	during	ADP
cord-104158-l7s2utqb	116	2	the	the	DET
cord-104158-l7s2utqb	116	3	entire	entire	ADJ
cord-104158-l7s2utqb	116	4	period	period	NOUN
cord-104158-l7s2utqb	116	5	with	with	ADP
cord-104158-l7s2utqb	116	6	an	an	DET
cord-104158-l7s2utqb	116	7	average	average	ADJ
cord-104158-l7s2utqb	116	8	value	value	NOUN
cord-104158-l7s2utqb	116	9	of	of	ADP
cord-104158-l7s2utqb	116	10	i	i	PRON
cord-104158-l7s2utqb	116	11	*	*	PUNCT
cord-104158-l7s2utqb	116	12	(	(	PUNCT
cord-104158-l7s2utqb	116	13	and	and	CCONJ
cord-104158-l7s2utqb	116	14	j	j	PROPN
cord-104158-l7s2utqb	116	15	*	*	PUNCT
cord-104158-l7s2utqb	116	16	)	)	PUNCT
cord-104158-l7s2utqb	117	1	while	while	SCONJ
cord-104158-l7s2utqb	117	2	the	the	DET
cord-104158-l7s2utqb	117	3	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	117	4	population	population	NOUN
cord-104158-l7s2utqb	117	5	reduces	reduce	VERB
cord-104158-l7s2utqb	117	6	steadily	steadily	ADV
cord-104158-l7s2utqb	117	7	in	in	ADP
cord-104158-l7s2utqb	117	8	a	a	DET
cord-104158-l7s2utqb	117	9	staircase	staircase	NOUN
cord-104158-l7s2utqb	117	10	-	-	PUNCT
cord-104158-l7s2utqb	117	11	like	like	ADJ
cord-104158-l7s2utqb	117	12	fashion	fashion	NOUN
cord-104158-l7s2utqb	117	13	.	.	PUNCT
cord-104158-l7s2utqb	118	1	the	the	DET
cord-104158-l7s2utqb	118	2	transmission	transmission	NOUN
cord-104158-l7s2utqb	118	3	rate	rate	NOUN
cord-104158-l7s2utqb	118	4	β	β	PROPN
cord-104158-l7s2utqb	118	5	also	also	ADV
cord-104158-l7s2utqb	118	6	exhibits	exhibit	VERB
cord-104158-l7s2utqb	118	7	periodic	periodic	ADJ
cord-104158-l7s2utqb	118	8	oscillations	oscillation	NOUN
cord-104158-l7s2utqb	118	9	but	but	CCONJ
cord-104158-l7s2utqb	118	10	the	the	DET
cord-104158-l7s2utqb	118	11	average	average	NOUN
cord-104158-l7s2utqb	118	12	steadily	steadily	ADV
cord-104158-l7s2utqb	118	13	goes	go	VERB
cord-104158-l7s2utqb	118	14	up	up	ADP
cord-104158-l7s2utqb	118	15	to	to	PART
cord-104158-l7s2utqb	118	16	compensate	compensate	VERB
cord-104158-l7s2utqb	118	17	for	for	ADP
cord-104158-l7s2utqb	118	18	the	the	DET
cord-104158-l7s2utqb	118	19	reduction	reduction	NOUN
cord-104158-l7s2utqb	118	20	in	in	ADP
cord-104158-l7s2utqb	118	21	the	the	DET
cord-104158-l7s2utqb	118	22	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	118	23	population	population	NOUN
cord-104158-l7s2utqb	118	24	.	.	PUNCT
cord-104158-l7s2utqb	119	1	fig	fig	NOUN
cord-104158-l7s2utqb	119	2	3(c	3(c	X
cord-104158-l7s2utqb	119	3	-	-	PUNCT
cord-104158-l7s2utqb	119	4	b	b	NOUN
cord-104158-l7s2utqb	119	5	)	)	PUNCT
cord-104158-l7s2utqb	119	6	shows	show	VERB
cord-104158-l7s2utqb	119	7	the	the	DET
cord-104158-l7s2utqb	119	8	phase	phase	NOUN
cord-104158-l7s2utqb	119	9	plot	plot	NOUN
cord-104158-l7s2utqb	119	10	and	and	CCONJ
cord-104158-l7s2utqb	119	11	the	the	DET
cord-104158-l7s2utqb	119	12	variation	variation	NOUN
cord-104158-l7s2utqb	119	13	of	of	ADP
cord-104158-l7s2utqb	119	14	the	the	DET
cord-104158-l7s2utqb	119	15	key	key	ADJ
cord-104158-l7s2utqb	119	16	quantities	quantity	NOUN
cord-104158-l7s2utqb	119	17	during	during	ADP
cord-104158-l7s2utqb	119	18	a	a	DET
cord-104158-l7s2utqb	119	19	single	single	ADJ
cord-104158-l7s2utqb	119	20	period	period	NOUN
cord-104158-l7s2utqb	119	21	with	with	ADP
cord-104158-l7s2utqb	119	22	the	the	DET
cord-104158-l7s2utqb	119	23	four	four	NUM
cord-104158-l7s2utqb	119	24	extreme	extreme	ADJ
cord-104158-l7s2utqb	119	25	points	point	NOUN
cord-104158-l7s2utqb	119	26	(	(	PUNCT
cord-104158-l7s2utqb	119	27	south	south	NOUN
cord-104158-l7s2utqb	119	28	,	,	PUNCT
cord-104158-l7s2utqb	119	29	east	east	PROPN
cord-104158-l7s2utqb	119	30	,	,	PUNCT
cord-104158-l7s2utqb	119	31	north	north	PROPN
cord-104158-l7s2utqb	119	32	,	,	PUNCT
cord-104158-l7s2utqb	119	33	west	west	PROPN
cord-104158-l7s2utqb	119	34	)	)	PUNCT
cord-104158-l7s2utqb	119	35	marked	mark	VERB
cord-104158-l7s2utqb	119	36	explicitly	explicitly	ADV
cord-104158-l7s2utqb	119	37	.	.	PUNCT
cord-104158-l7s2utqb	120	1	fig	fig	PROPN
cord-104158-l7s2utqb	120	2	3(d	3(d	X
cord-104158-l7s2utqb	120	3	)	)	PUNCT
cord-104158-l7s2utqb	120	4	shows	show	VERB
cord-104158-l7s2utqb	120	5	how	how	SCONJ
cord-104158-l7s2utqb	120	6	t	t	NOUN
cord-104158-l7s2utqb	120	7	period	period	NOUN
cord-104158-l7s2utqb	120	8	[	[	X
cord-104158-l7s2utqb	120	9	42	42	NUM
cord-104158-l7s2utqb	120	10	]	]	PUNCT
cord-104158-l7s2utqb	120	11	depends	depend	VERB
cord-104158-l7s2utqb	120	12	on	on	ADP
cord-104158-l7s2utqb	120	13	r	r	NOUN
cord-104158-l7s2utqb	120	14	for	for	ADP
cord-104158-l7s2utqb	120	15	different	different	ADJ
cord-104158-l7s2utqb	120	16	choices	choice	NOUN
cord-104158-l7s2utqb	120	17	of	of	ADP
cord-104158-l7s2utqb	120	18	w	w	NOUN
cord-104158-l7s2utqb	120	19	0	0	PUNCT
cord-104158-l7s2utqb	120	20	/r	/r	PUNCT
cord-104158-l7s2utqb	120	21	.	.	PUNCT
cord-104158-l7s2utqb	121	1	this	this	DET
cord-104158-l7s2utqb	121	2	mapping	mapping	NOUN
cord-104158-l7s2utqb	121	3	can	can	AUX
cord-104158-l7s2utqb	121	4	be	be	AUX
cord-104158-l7s2utqb	121	5	used	use	VERB
cord-104158-l7s2utqb	121	6	to	to	PART
cord-104158-l7s2utqb	121	7	identify	identify	VERB
cord-104158-l7s2utqb	121	8	suitable	suitable	ADJ
cord-104158-l7s2utqb	121	9	values	value	NOUN
cord-104158-l7s2utqb	121	10	of	of	ADP
cord-104158-l7s2utqb	121	11	r	r	NOUN
cord-104158-l7s2utqb	121	12	for	for	ADP
cord-104158-l7s2utqb	121	13	practical	practical	ADJ
cord-104158-l7s2utqb	121	14	policy	policy	NOUN
cord-104158-l7s2utqb	121	15	making	making	NOUN
cord-104158-l7s2utqb	121	16	.	.	PUNCT
cord-104158-l7s2utqb	122	1	for	for	ADP
cord-104158-l7s2utqb	122	2	the	the	DET
cord-104158-l7s2utqb	122	3	special	special	ADJ
cord-104158-l7s2utqb	122	4	case	case	NOUN
cord-104158-l7s2utqb	122	5	where	where	SCONJ
cord-104158-l7s2utqb	122	6	the	the	DET
cord-104158-l7s2utqb	122	7	initial	initial	ADJ
cord-104158-l7s2utqb	122	8	state	state	NOUN
cord-104158-l7s2utqb	122	9	is	be	AUX
cord-104158-l7s2utqb	122	10	at	at	ADP
cord-104158-l7s2utqb	122	11	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	122	12	,	,	PUNCT
cord-104158-l7s2utqb	122	13	the	the	DET
cord-104158-l7s2utqb	122	14	system	system	NOUN
cord-104158-l7s2utqb	122	15	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	122	16	is	be	AUX
cord-104158-l7s2utqb	122	17	steady	steady	ADJ
cord-104158-l7s2utqb	122	18	as	as	ADP
cord-104158-l7s2utqb	122	19	in	in	ADP
cord-104158-l7s2utqb	122	20	fig	fig	PROPN
cord-104158-l7s2utqb	122	21	3(a	3(a	NUM
cord-104158-l7s2utqb	122	22	)	)	PUNCT
cord-104158-l7s2utqb	122	23	.	.	PUNCT
cord-104158-l7s2utqb	123	1	we	we	PRON
cord-104158-l7s2utqb	123	2	now	now	ADV
cord-104158-l7s2utqb	123	3	consider	consider	VERB
cord-104158-l7s2utqb	123	4	the	the	DET
cord-104158-l7s2utqb	123	5	problem	problem	NOUN
cord-104158-l7s2utqb	123	6	of	of	ADP
cord-104158-l7s2utqb	123	7	controlling	control	VERB
cord-104158-l7s2utqb	123	8	the	the	DET
cord-104158-l7s2utqb	123	9	transmission	transmission	NOUN
cord-104158-l7s2utqb	123	10	rate	rate	NOUN
cord-104158-l7s2utqb	123	11	β	β	NOUN
cord-104158-l7s2utqb	123	12	for	for	ADP
cord-104158-l7s2utqb	123	13	the	the	DET
cord-104158-l7s2utqb	123	14	lvsir	lvsir	PROPN
cord-104158-l7s2utqb	123	15	model	model	PROPN
cord-104158-l7s2utqb	123	16	(	(	PUNCT
cord-104158-l7s2utqb	123	17	fig	fig	NOUN
cord-104158-l7s2utqb	123	18	2(c	2(c	PUNCT
cord-104158-l7s2utqb	123	19	)	)	PUNCT
cord-104158-l7s2utqb	123	20	)	)	PUNCT
cord-104158-l7s2utqb	123	21	to	to	PART
cord-104158-l7s2utqb	123	22	nudge	nudge	VERB
cord-104158-l7s2utqb	123	23	the	the	DET
cord-104158-l7s2utqb	123	24	infectious	infectious	ADJ
cord-104158-l7s2utqb	123	25	levels	level	NOUN
cord-104158-l7s2utqb	123	26	to	to	ADP
cord-104158-l7s2utqb	123	27	a	a	DET
cord-104158-l7s2utqb	123	28	desired	desire	VERB
cord-104158-l7s2utqb	123	29	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	123	30	.	.	PUNCT
cord-104158-l7s2utqb	124	1	as	as	SCONJ
cord-104158-l7s2utqb	124	2	discussed	discuss	VERB
cord-104158-l7s2utqb	124	3	in	in	ADP
cord-104158-l7s2utqb	124	4	section	section	NOUN
cord-104158-l7s2utqb	124	5	3	3	NUM
cord-104158-l7s2utqb	124	6	,	,	PUNCT
cord-104158-l7s2utqb	124	7	control	control	NOUN
cord-104158-l7s2utqb	124	8	of	of	ADP
cord-104158-l7s2utqb	124	9	non	non	ADJ
cord-104158-l7s2utqb	124	10	-	-	ADJ
cord-104158-l7s2utqb	124	11	linear	linear	ADJ
cord-104158-l7s2utqb	124	12	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	124	13	systems	system	NOUN
cord-104158-l7s2utqb	124	14	is	be	AUX
cord-104158-l7s2utqb	124	15	typically	typically	ADV
cord-104158-l7s2utqb	124	16	achieved	achieve	VERB
cord-104158-l7s2utqb	124	17	via	via	ADP
cord-104158-l7s2utqb	124	18	control	control	NOUN
cord-104158-l7s2utqb	124	19	-	-	PUNCT
cord-104158-l7s2utqb	124	20	lyapunov	lyapunov	NOUN
cord-104158-l7s2utqb	124	21	functions	function	NOUN
cord-104158-l7s2utqb	124	22	(	(	PUNCT
cord-104158-l7s2utqb	124	23	clfs	clfs	PROPN
cord-104158-l7s2utqb	124	24	)	)	PUNCT
cord-104158-l7s2utqb	124	25	.	.	PUNCT
cord-104158-l7s2utqb	125	1	our	our	PRON
cord-104158-l7s2utqb	125	2	approach	approach	NOUN
cord-104158-l7s2utqb	125	3	is	be	AUX
cord-104158-l7s2utqb	125	4	to	to	PART
cord-104158-l7s2utqb	125	5	exploit	exploit	VERB
cord-104158-l7s2utqb	125	6	the	the	DET
cord-104158-l7s2utqb	125	7	mapping	mapping	NOUN
cord-104158-l7s2utqb	125	8	from	from	ADP
cord-104158-l7s2utqb	125	9	the	the	DET
cord-104158-l7s2utqb	125	10	sir	sir	PROPN
cord-104158-l7s2utqb	125	11	model	model	NOUN
cord-104158-l7s2utqb	125	12	to	to	ADP
cord-104158-l7s2utqb	125	13	lv	lv	PROPN
cord-104158-l7s2utqb	125	14	system	system	PROPN
cord-104158-l7s2utqb	125	15	and	and	CCONJ
cord-104158-l7s2utqb	125	16	use	use	VERB
cord-104158-l7s2utqb	125	17	clfs	clfs	PROPN
cord-104158-l7s2utqb	125	18	derived	derive	VERB
cord-104158-l7s2utqb	125	19	from	from	ADP
cord-104158-l7s2utqb	125	20	the	the	DET
cord-104158-l7s2utqb	125	21	"	"	PUNCT
cord-104158-l7s2utqb	125	22	lotka	lotka	PROPN
cord-104158-l7s2utqb	125	23	-	-	PUNCT
cord-104158-l7s2utqb	125	24	volterra	volterra	PROPN
cord-104158-l7s2utqb	125	25	energy	energy	PROPN
cord-104158-l7s2utqb	125	26	"	"	PUNCT
cord-104158-l7s2utqb	125	27	function	function	PROPN
cord-104158-l7s2utqb	125	28	w(j	w(j	PROPN
cord-104158-l7s2utqb	125	29	,	,	PUNCT
cord-104158-l7s2utqb	125	30	i	i	PROPN
cord-104158-l7s2utqb	125	31	)	)	PUNCT
cord-104158-l7s2utqb	125	32	.	.	PUNCT
cord-104158-l7s2utqb	126	1	given	give	VERB
cord-104158-l7s2utqb	126	2	a	a	DET
cord-104158-l7s2utqb	126	3	dynamical	dynamical	ADJ
cord-104158-l7s2utqb	126	4	systemż	systemż	NOUN
cord-104158-l7s2utqb	126	5	=	=	X
cord-104158-l7s2utqb	126	6	f	f	PROPN
cord-104158-l7s2utqb	126	7	(	(	PUNCT
cord-104158-l7s2utqb	126	8	z	z	NOUN
cord-104158-l7s2utqb	126	9	,	,	PUNCT
cord-104158-l7s2utqb	126	10	u	u	NOUN
cord-104158-l7s2utqb	126	11	)	)	PUNCT
cord-104158-l7s2utqb	126	12	with	with	ADP
cord-104158-l7s2utqb	126	13	state	state	NOUN
cord-104158-l7s2utqb	126	14	vector	vector	NOUN
cord-104158-l7s2utqb	126	15	z	z	NOUN
cord-104158-l7s2utqb	126	16	∈	∈	NOUN
cord-104158-l7s2utqb	126	17	d	d	X
cord-104158-l7s2utqb	127	1	⊂	⊂	X
cord-104158-l7s2utqb	127	2	r	r	NOUN
cord-104158-l7s2utqb	127	3	n	n	NOUN
cord-104158-l7s2utqb	127	4	,	,	PUNCT
cord-104158-l7s2utqb	127	5	control	control	PROPN
cord-104158-l7s2utqb	128	1	u	u	PROPN
cord-104158-l7s2utqb	128	2	∈	∈	NOUN
cord-104158-l7s2utqb	128	3	r	r	NOUN
cord-104158-l7s2utqb	128	4	m	m	NOUN
cord-104158-l7s2utqb	128	5	,	,	PUNCT
cord-104158-l7s2utqb	128	6	and	and	CCONJ
cord-104158-l7s2utqb	128	7	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	128	8	state	state	NOUN
cord-104158-l7s2utqb	128	9	z	z	NOUN
cord-104158-l7s2utqb	128	10	*	*	PUNCT
cord-104158-l7s2utqb	128	11	=	=	SYM
cord-104158-l7s2utqb	128	12	0	0	NUM
cord-104158-l7s2utqb	128	13	,	,	PUNCT
cord-104158-l7s2utqb	128	14	a	a	DET
cord-104158-l7s2utqb	128	15	control	control	NOUN
cord-104158-l7s2utqb	128	16	-	-	PUNCT
cord-104158-l7s2utqb	128	17	lyapunov	lyapunov	NOUN
cord-104158-l7s2utqb	128	18	function	function	NOUN
cord-104158-l7s2utqb	128	19	(	(	PUNCT
cord-104158-l7s2utqb	128	20	clf	clf	PROPN
cord-104158-l7s2utqb	128	21	)	)	PUNCT
cord-104158-l7s2utqb	128	22	is	be	AUX
cord-104158-l7s2utqb	128	23	a	a	DET
cord-104158-l7s2utqb	128	24	function	function	NOUN
cord-104158-l7s2utqb	128	25	v	v	NOUN
cord-104158-l7s2utqb	128	26	:	:	PUNCT
cord-104158-l7s2utqb	128	27	the	the	DET
cord-104158-l7s2utqb	128	28	clf	clf	PROPN
cord-104158-l7s2utqb	128	29	v	v	PROPN
cord-104158-l7s2utqb	128	30	(	(	PUNCT
cord-104158-l7s2utqb	128	31	·	·	PUNCT
cord-104158-l7s2utqb	128	32	)	)	PUNCT
cord-104158-l7s2utqb	128	33	can	can	AUX
cord-104158-l7s2utqb	128	34	be	be	AUX
cord-104158-l7s2utqb	128	35	viewed	view	VERB
cord-104158-l7s2utqb	128	36	as	as	ADP
cord-104158-l7s2utqb	128	37	a	a	DET
cord-104158-l7s2utqb	128	38	generalized	generalized	ADJ
cord-104158-l7s2utqb	128	39	energy	energy	NOUN
cord-104158-l7s2utqb	128	40	function	function	NOUN
cord-104158-l7s2utqb	128	41	withv	withv	PROPN
cord-104158-l7s2utqb	128	42	(	(	PUNCT
cord-104158-l7s2utqb	128	43	·	·	PUNCT
cord-104158-l7s2utqb	128	44	)	)	PUNCT
cord-104158-l7s2utqb	128	45	being	be	AUX
cord-104158-l7s2utqb	128	46	a	a	DET
cord-104158-l7s2utqb	128	47	dissipation	dissipation	NOUN
cord-104158-l7s2utqb	128	48	function	function	NOUN
cord-104158-l7s2utqb	128	49	.	.	PUNCT
cord-104158-l7s2utqb	129	1	artstein	artstein	VERB
cord-104158-l7s2utqb	130	1	[	[	X
cord-104158-l7s2utqb	130	2	6	6	NUM
cord-104158-l7s2utqb	130	3	]	]	PUNCT
cord-104158-l7s2utqb	130	4	proved	prove	VERB
cord-104158-l7s2utqb	130	5	that	that	SCONJ
cord-104158-l7s2utqb	130	6	as	as	ADV
cord-104158-l7s2utqb	130	7	long	long	ADV
cord-104158-l7s2utqb	130	8	as	as	SCONJ
cord-104158-l7s2utqb	130	9	there	there	PRON
cord-104158-l7s2utqb	130	10	is	be	VERB
cord-104158-l7s2utqb	130	11	a	a	DET
cord-104158-l7s2utqb	130	12	clf	clf	NOUN
cord-104158-l7s2utqb	130	13	,	,	PUNCT
cord-104158-l7s2utqb	130	14	there	there	PRON
cord-104158-l7s2utqb	130	15	exists	exist	VERB
cord-104158-l7s2utqb	130	16	a	a	DET
cord-104158-l7s2utqb	130	17	control	control	NOUN
cord-104158-l7s2utqb	130	18	u	u	PRON
cord-104158-l7s2utqb	130	19	to	to	PART
cord-104158-l7s2utqb	130	20	ensure	ensure	VERB
cord-104158-l7s2utqb	130	21	the	the	DET
cord-104158-l7s2utqb	130	22	reduction	reduction	NOUN
cord-104158-l7s2utqb	130	23	of	of	ADP
cord-104158-l7s2utqb	130	24	energy	energy	NOUN
cord-104158-l7s2utqb	130	25	at	at	ADP
cord-104158-l7s2utqb	130	26	every	every	DET
cord-104158-l7s2utqb	130	27	non	non	ADJ
cord-104158-l7s2utqb	130	28	-	-	ADJ
cord-104158-l7s2utqb	130	29	equilibrium	equilibrium	ADJ
cord-104158-l7s2utqb	130	30	state	state	NOUN
cord-104158-l7s2utqb	130	31	and	and	CCONJ
cord-104158-l7s2utqb	130	32	eventual	eventual	ADJ
cord-104158-l7s2utqb	130	33	convergence	convergence	NOUN
cord-104158-l7s2utqb	130	34	to	to	ADP
cord-104158-l7s2utqb	130	35	the	the	DET
cord-104158-l7s2utqb	130	36	zero	zero	NUM
cord-104158-l7s2utqb	130	37	energy	energy	NOUN
cord-104158-l7s2utqb	130	38	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	130	39	.	.	PUNCT
cord-104158-l7s2utqb	131	1	,	,	PUNCT
cord-104158-l7s2utqb	131	2	ż	ż	NOUN
cord-104158-l7s2utqb	131	3	=	=	X
cord-104158-l7s2utqb	131	4	f	f	PROPN
cord-104158-l7s2utqb	131	5	(	(	PUNCT
cord-104158-l7s2utqb	131	6	z	z	NOUN
cord-104158-l7s2utqb	131	7	,	,	PUNCT
cord-104158-l7s2utqb	131	8	u	u	NOUN
cord-104158-l7s2utqb	131	9	)	)	PUNCT
cord-104158-l7s2utqb	131	10	=	=	NOUN
cord-104158-l7s2utqb	131	11	f	f	PROPN
cord-104158-l7s2utqb	131	12	0	0	NUM
cord-104158-l7s2utqb	131	13	(	(	PUNCT
cord-104158-l7s2utqb	131	14	z	z	NOUN
cord-104158-l7s2utqb	131	15	)	)	PUNCT
cord-104158-l7s2utqb	131	16	+	+	NOUN
cord-104158-l7s2utqb	131	17	m	m	VERB
cord-104158-l7s2utqb	131	18	i=1	i=1	X
cord-104158-l7s2utqb	132	1	f	f	PROPN
cord-104158-l7s2utqb	132	2	i	i	PROPN
cord-104158-l7s2utqb	132	3	(	(	PUNCT
cord-104158-l7s2utqb	132	4	z)u	z)u	X
cord-104158-l7s2utqb	132	5	i	i	PRON
cord-104158-l7s2utqb	132	6	with	with	ADP
cord-104158-l7s2utqb	132	7	state	state	NOUN
cord-104158-l7s2utqb	132	8	z	z	NOUN
cord-104158-l7s2utqb	132	9	∈	∈	NOUN
cord-104158-l7s2utqb	132	10	d	d	X
cord-104158-l7s2utqb	133	1	⊂	⊂	X
cord-104158-l7s2utqb	133	2	r	r	NOUN
cord-104158-l7s2utqb	133	3	n	n	NOUN
cord-104158-l7s2utqb	133	4	,	,	PUNCT
cord-104158-l7s2utqb	133	5	control	control	PROPN
cord-104158-l7s2utqb	134	1	u	u	PROPN
cord-104158-l7s2utqb	134	2	∈	∈	NOUN
cord-104158-l7s2utqb	134	3	r	r	NOUN
cord-104158-l7s2utqb	134	4	m	m	NOUN
cord-104158-l7s2utqb	134	5	,	,	PUNCT
cord-104158-l7s2utqb	134	6	once	once	ADV
cord-104158-l7s2utqb	134	7	a	a	DET
cord-104158-l7s2utqb	134	8	clf	clf	NOUN
cord-104158-l7s2utqb	134	9	is	be	AUX
cord-104158-l7s2utqb	134	10	identified	identify	VERB
cord-104158-l7s2utqb	134	11	,	,	PUNCT
cord-104158-l7s2utqb	134	12	it	it	PRON
cord-104158-l7s2utqb	134	13	is	be	AUX
cord-104158-l7s2utqb	134	14	relatively	relatively	ADV
cord-104158-l7s2utqb	134	15	straightforward	straightforward	ADJ
cord-104158-l7s2utqb	134	16	to	to	PART
cord-104158-l7s2utqb	134	17	design	design	VERB
cord-104158-l7s2utqb	134	18	an	an	DET
cord-104158-l7s2utqb	134	19	appropriate	appropriate	ADJ
cord-104158-l7s2utqb	134	20	control	control	NOUN
cord-104158-l7s2utqb	134	21	function	function	VERB
cord-104158-l7s2utqb	134	22	u	u	PROPN
cord-104158-l7s2utqb	134	23	as	as	SCONJ
cord-104158-l7s2utqb	134	24	described	describe	VERB
cord-104158-l7s2utqb	134	25	in	in	ADP
cord-104158-l7s2utqb	134	26	[	[	PUNCT
cord-104158-l7s2utqb	134	27	6	6	NUM
cord-104158-l7s2utqb	134	28	,	,	PUNCT
cord-104158-l7s2utqb	134	29	46	46	NUM
cord-104158-l7s2utqb	134	30	]	]	PUNCT
cord-104158-l7s2utqb	134	31	.	.	PUNCT
cord-104158-l7s2utqb	135	1	for	for	ADP
cord-104158-l7s2utqb	135	2	our	our	PRON
cord-104158-l7s2utqb	135	3	scenario	scenario	NOUN
cord-104158-l7s2utqb	135	4	,	,	PUNCT
cord-104158-l7s2utqb	135	5	we	we	PRON
cord-104158-l7s2utqb	135	6	rely	rely	VERB
cord-104158-l7s2utqb	135	7	on	on	ADP
cord-104158-l7s2utqb	135	8	the	the	DET
cord-104158-l7s2utqb	135	9	conservation	conservation	NOUN
cord-104158-l7s2utqb	135	10	law	law	NOUN
cord-104158-l7s2utqb	135	11	of	of	ADP
cord-104158-l7s2utqb	135	12	the	the	DET
cord-104158-l7s2utqb	135	13	lv	lv	PROPN
cord-104158-l7s2utqb	135	14	system	system	NOUN
cord-104158-l7s2utqb	135	15	as	as	ADV
cord-104158-l7s2utqb	135	16	well	well	ADV
cord-104158-l7s2utqb	135	17	as	as	ADP
cord-104158-l7s2utqb	135	18	the	the	DET
cord-104158-l7s2utqb	135	19	existing	exist	VERB
cord-104158-l7s2utqb	135	20	literature	literature	NOUN
cord-104158-l7s2utqb	135	21	on	on	ADP
cord-104158-l7s2utqb	135	22	its	its	PRON
cord-104158-l7s2utqb	135	23	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	135	24	functions	function	NOUN
cord-104158-l7s2utqb	136	1	[	[	X
cord-104158-l7s2utqb	136	2	39	39	NUM
cord-104158-l7s2utqb	136	3	]	]	PUNCT
cord-104158-l7s2utqb	136	4	.	.	PUNCT
cord-104158-l7s2utqb	137	1	let	let	VERB
cord-104158-l7s2utqb	137	2	z	z	NOUN
cord-104158-l7s2utqb	137	3	=	=	PROPN
cord-104158-l7s2utqb	137	4	(	(	PUNCT
cord-104158-l7s2utqb	137	5	j	j	NOUN
cord-104158-l7s2utqb	137	6	j	j	X
cord-104158-l7s2utqb	137	7	*	*	PUNCT
cord-104158-l7s2utqb	138	1	−	−	PROPN
cord-104158-l7s2utqb	138	2	1	1	NUM
cord-104158-l7s2utqb	138	3	,	,	PUNCT
cord-104158-l7s2utqb	138	4	i	i	PRON
cord-104158-l7s2utqb	138	5	i	i	PRON
cord-104158-l7s2utqb	138	6	*	*	PUNCT
cord-104158-l7s2utqb	138	7	−	−	NUM
cord-104158-l7s2utqb	138	8	1	1	NUM
cord-104158-l7s2utqb	138	9	)	)	PUNCT
cord-104158-l7s2utqb	138	10	so	so	SCONJ
cord-104158-l7s2utqb	138	11	that	that	SCONJ
cord-104158-l7s2utqb	138	12	the	the	DET
cord-104158-l7s2utqb	138	13	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	138	14	z	z	NOUN
cord-104158-l7s2utqb	138	15	*	*	PUNCT
cord-104158-l7s2utqb	138	16	=	=	NOUN
cord-104158-l7s2utqb	138	17	(	(	PUNCT
cord-104158-l7s2utqb	138	18	0	0	NUM
cord-104158-l7s2utqb	138	19	,	,	PUNCT
cord-104158-l7s2utqb	138	20	0	0	NUM
cord-104158-l7s2utqb	138	21	)	)	PUNCT
cord-104158-l7s2utqb	138	22	.	.	PUNCT
cord-104158-l7s2utqb	139	1	let	let	VERB
cord-104158-l7s2utqb	139	2	l(a	l(a	PROPN
cord-104158-l7s2utqb	139	3	1	1	NUM
cord-104158-l7s2utqb	139	4	,	,	PUNCT
cord-104158-l7s2utqb	139	5	a	a	DET
cord-104158-l7s2utqb	139	6	2	2	NUM
cord-104158-l7s2utqb	139	7	)	)	PUNCT
cord-104158-l7s2utqb	139	8	:	:	PUNCT
cord-104158-l7s2utqb	140	1	r	r	NOUN
cord-104158-l7s2utqb	140	2	2	2	NUM
cord-104158-l7s2utqb	140	3	+	+	NUM
cord-104158-l7s2utqb	140	4	→	→	SYM
cord-104158-l7s2utqb	141	1	r	r	NOUN
cord-104158-l7s2utqb	141	2	be	be	AUX
cord-104158-l7s2utqb	141	3	a	a	DET
cord-104158-l7s2utqb	141	4	continuously	continuously	ADV
cord-104158-l7s2utqb	141	5	differentiable	differentiable	ADJ
cord-104158-l7s2utqb	141	6	divergence	divergence	NOUN
cord-104158-l7s2utqb	141	7	such	such	ADJ
cord-104158-l7s2utqb	141	8	that	that	SCONJ
cord-104158-l7s2utqb	141	9	|	|	NOUN
cord-104158-l7s2utqb	141	10	dl	dl	PROPN
cord-104158-l7s2utqb	142	1	da1	da1	NOUN
cord-104158-l7s2utqb	142	2	|	|	PROPN
cord-104158-l7s2utqb	142	3	>	>	SYM
cord-104158-l7s2utqb	142	4	0	0	NUM
cord-104158-l7s2utqb	142	5	and	and	CCONJ
cord-104158-l7s2utqb	142	6	l(a	l(a	PROPN
cord-104158-l7s2utqb	142	7	1	1	NUM
cord-104158-l7s2utqb	142	8	,	,	PUNCT
cord-104158-l7s2utqb	142	9	a	a	DET
cord-104158-l7s2utqb	142	10	2	2	NUM
cord-104158-l7s2utqb	142	11	)	)	PUNCT
cord-104158-l7s2utqb	142	12	>	>	PUNCT
cord-104158-l7s2utqb	142	13	0	0	NUM
cord-104158-l7s2utqb	142	14	,	,	PUNCT
cord-104158-l7s2utqb	142	15	∀a	∀a	NOUN
cord-104158-l7s2utqb	142	16	1	1	NUM
cord-104158-l7s2utqb	142	17	=	=	SYM
cord-104158-l7s2utqb	142	18	a	a	DET
cord-104158-l7s2utqb	142	19	2	2	NUM
cord-104158-l7s2utqb	142	20	and	and	CCONJ
cord-104158-l7s2utqb	142	21	l(a	l(a	PROPN
cord-104158-l7s2utqb	142	22	1	1	NUM
cord-104158-l7s2utqb	142	23	,	,	PUNCT
cord-104158-l7s2utqb	142	24	a	a	DET
cord-104158-l7s2utqb	142	25	2	2	NUM
cord-104158-l7s2utqb	142	26	)	)	PUNCT
cord-104158-l7s2utqb	142	27	=	=	SYM
cord-104158-l7s2utqb	142	28	0	0	NUM
cord-104158-l7s2utqb	143	1	⇐	⇐	ADJ
cord-104158-l7s2utqb	143	2	⇒	⇒	NOUN
cord-104158-l7s2utqb	143	3	a	a	DET
cord-104158-l7s2utqb	143	4	1	1	NUM
cord-104158-l7s2utqb	143	5	=	=	NOUN
cord-104158-l7s2utqb	143	6	a	a	DET
cord-104158-l7s2utqb	143	7	2	2	NUM
cord-104158-l7s2utqb	143	8	.	.	PUNCT
cord-104158-l7s2utqb	144	1	then	then	ADV
cord-104158-l7s2utqb	144	2	,	,	PUNCT
cord-104158-l7s2utqb	144	3	the	the	DET
cord-104158-l7s2utqb	144	4	function	function	NOUN
cord-104158-l7s2utqb	144	5	v	v	NOUN
cord-104158-l7s2utqb	144	6	(	(	PUNCT
cord-104158-l7s2utqb	144	7	z	z	NOUN
cord-104158-l7s2utqb	144	8	)	)	PUNCT
cord-104158-l7s2utqb	144	9	=	=	SYM
cord-104158-l7s2utqb	144	10	l(w	l(w	NOUN
cord-104158-l7s2utqb	144	11	,	,	PUNCT
cord-104158-l7s2utqb	144	12	w	w	NOUN
cord-104158-l7s2utqb	144	13	target	target	NOUN
cord-104158-l7s2utqb	144	14	)	)	PUNCT
cord-104158-l7s2utqb	144	15	where	where	SCONJ
cord-104158-l7s2utqb	144	16	w	w	PROPN
cord-104158-l7s2utqb	144	17	=	=	X
cord-104158-l7s2utqb	144	18	w(j	w(j	PROPN
cord-104158-l7s2utqb	144	19	,	,	PUNCT
cord-104158-l7s2utqb	144	20	i	i	PROPN
cord-104158-l7s2utqb	144	21	)	)	PUNCT
cord-104158-l7s2utqb	144	22	can	can	AUX
cord-104158-l7s2utqb	144	23	be	be	AUX
cord-104158-l7s2utqb	144	24	used	use	VERB
cord-104158-l7s2utqb	144	25	as	as	ADP
cord-104158-l7s2utqb	144	26	a	a	DET
cord-104158-l7s2utqb	144	27	clf	clf	NOUN
cord-104158-l7s2utqb	144	28	.	.	PUNCT
cord-104158-l7s2utqb	145	1	we	we	PRON
cord-104158-l7s2utqb	145	2	focus	focus	VERB
cord-104158-l7s2utqb	145	3	on	on	ADP
cord-104158-l7s2utqb	145	4	the	the	DET
cord-104158-l7s2utqb	145	5	case	case	NOUN
cord-104158-l7s2utqb	145	6	where	where	SCONJ
cord-104158-l7s2utqb	145	7	w	w	PROPN
cord-104158-l7s2utqb	145	8	target	target	PROPN
cord-104158-l7s2utqb	145	9	=	=	X
cord-104158-l7s2utqb	145	10	w	w	PROPN
cord-104158-l7s2utqb	145	11	*	*	PUNCT
cord-104158-l7s2utqb	145	12	=	=	NOUN
cord-104158-l7s2utqb	145	13	0	0	NUM
cord-104158-l7s2utqb	145	14	.	.	PUNCT
cord-104158-l7s2utqb	146	1	and	and	CCONJ
cord-104158-l7s2utqb	146	2	propose	propose	VERB
cord-104158-l7s2utqb	146	3	a	a	DET
cord-104158-l7s2utqb	146	4	controlled	control	VERB
cord-104158-l7s2utqb	146	5	sir	sir	NOUN
cord-104158-l7s2utqb	146	6	model	model	NOUN
cord-104158-l7s2utqb	146	7	(	(	PUNCT
cord-104158-l7s2utqb	146	8	cosir	cosir	PROPN
cord-104158-l7s2utqb	146	9	)	)	PUNCT
cord-104158-l7s2utqb	146	10	.	.	PUNCT
cord-104158-l7s2utqb	147	1	theorem	theorem	PROPN
cord-104158-l7s2utqb	147	2	4	4	NUM
cord-104158-l7s2utqb	147	3	(	(	PUNCT
cord-104158-l7s2utqb	147	4	cosir	cosir	PROPN
cord-104158-l7s2utqb	147	5	)	)	PUNCT
cord-104158-l7s2utqb	147	6	for	for	ADP
cord-104158-l7s2utqb	147	7	the	the	DET
cord-104158-l7s2utqb	147	8	sir	sir	PROPN
cord-104158-l7s2utqb	147	9	model	model	NOUN
cord-104158-l7s2utqb	147	10	,	,	PUNCT
cord-104158-l7s2utqb	147	11	a	a	DET
cord-104158-l7s2utqb	147	12	proportional	proportional	ADJ
cord-104158-l7s2utqb	147	13	additive	additive	ADJ
cord-104158-l7s2utqb	147	14	control	control	NOUN
cord-104158-l7s2utqb	147	15	on	on	ADP
cord-104158-l7s2utqb	147	16	β	β	PROPN
cord-104158-l7s2utqb	147	17	,	,	PUNCT
cord-104158-l7s2utqb	147	18	the	the	DET
cord-104158-l7s2utqb	147	19	convergence	convergence	NOUN
cord-104158-l7s2utqb	147	20	rate	rate	NOUN
cord-104158-l7s2utqb	147	21	dependent	dependent	ADJ
cord-104158-l7s2utqb	147	22	on	on	ADP
cord-104158-l7s2utqb	147	23	η	η	NUM
cord-104158-l7s2utqb	147	24	.	.	PUNCT
cord-104158-l7s2utqb	148	1	the	the	DET
cord-104158-l7s2utqb	148	2	design	design	NOUN
cord-104158-l7s2utqb	148	3	of	of	ADP
cord-104158-l7s2utqb	148	4	the	the	DET
cord-104158-l7s2utqb	148	5	control	control	NOUN
cord-104158-l7s2utqb	148	6	also	also	ADV
cord-104158-l7s2utqb	148	7	makes	make	VERB
cord-104158-l7s2utqb	148	8	it	it	PRON
cord-104158-l7s2utqb	148	9	robust	robust	ADJ
cord-104158-l7s2utqb	148	10	to	to	ADP
cord-104158-l7s2utqb	148	11	perturbations	perturbation	NOUN
cord-104158-l7s2utqb	148	12	in	in	ADP
cord-104158-l7s2utqb	148	13	the	the	DET
cord-104158-l7s2utqb	148	14	infectious	infectious	ADJ
cord-104158-l7s2utqb	148	15	population	population	NOUN
cord-104158-l7s2utqb	148	16	as	as	SCONJ
cord-104158-l7s2utqb	148	17	the	the	DET
cord-104158-l7s2utqb	148	18	system	system	NOUN
cord-104158-l7s2utqb	148	19	re	re	NOUN
cord-104158-l7s2utqb	148	20	-	-	NOUN
cord-104158-l7s2utqb	148	21	calibrates	calibrate	VERB
cord-104158-l7s2utqb	148	22	β	β	NOUN
cord-104158-l7s2utqb	148	23	as	as	ADP
cord-104158-l7s2utqb	148	24	appropriate	appropriate	ADJ
cord-104158-l7s2utqb	148	25	.	.	PUNCT
cord-104158-l7s2utqb	149	1	the	the	DET
cord-104158-l7s2utqb	149	2	β	β	NOUN
cord-104158-l7s2utqb	149	3	-	-	PUNCT
cord-104158-l7s2utqb	149	4	control	control	NOUN
cord-104158-l7s2utqb	149	5	policy	policy	NOUN
cord-104158-l7s2utqb	149	6	(	(	PUNCT
cord-104158-l7s2utqb	149	7	eqn	eqn	NOUN
cord-104158-l7s2utqb	149	8	.	.	PUNCT
cord-104158-l7s2utqb	149	9	3	3	NUM
cord-104158-l7s2utqb	149	10	)	)	PUNCT
cord-104158-l7s2utqb	149	11	can	can	AUX
cord-104158-l7s2utqb	149	12	be	be	AUX
cord-104158-l7s2utqb	149	13	interpreted	interpret	VERB
cord-104158-l7s2utqb	149	14	as	as	ADP
cord-104158-l7s2utqb	149	15	follows	follow	NOUN
cord-104158-l7s2utqb	149	16	.	.	PUNCT
cord-104158-l7s2utqb	150	1	the	the	DET
cord-104158-l7s2utqb	150	2	first	first	ADJ
cord-104158-l7s2utqb	150	3	term	term	NOUN
cord-104158-l7s2utqb	150	4	β	β	NOUN
cord-104158-l7s2utqb	150	5	2	2	NUM
cord-104158-l7s2utqb	150	6	i	i	PRON
cord-104158-l7s2utqb	150	7	n	n	VERB
cord-104158-l7s2utqb	150	8	corresponds	correspond	VERB
cord-104158-l7s2utqb	150	9	to	to	ADP
cord-104158-l7s2utqb	150	10	the	the	DET
cord-104158-l7s2utqb	150	11	relaxation	relaxation	NOUN
cord-104158-l7s2utqb	150	12	possible	possible	ADJ
cord-104158-l7s2utqb	150	13	due	due	ADP
cord-104158-l7s2utqb	150	14	to	to	ADP
cord-104158-l7s2utqb	150	15	the	the	DET
cord-104158-l7s2utqb	150	16	decreasing	decrease	VERB
cord-104158-l7s2utqb	150	17	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	150	18	population	population	NOUN
cord-104158-l7s2utqb	150	19	while	while	SCONJ
cord-104158-l7s2utqb	150	20	the	the	DET
cord-104158-l7s2utqb	150	21	second	second	ADJ
cord-104158-l7s2utqb	150	22	term	term	NOUN
cord-104158-l7s2utqb	150	23	(	(	PUNCT
cord-104158-l7s2utqb	150	24	r	r	NOUN
cord-104158-l7s2utqb	150	25	−	−	NOUN
cord-104158-l7s2utqb	150	26	ei)β	ei)β	PROPN
cord-104158-l7s2utqb	150	27	leads	lead	VERB
cord-104158-l7s2utqb	150	28	to	to	ADP
cord-104158-l7s2utqb	150	29	oscillatory	oscillatory	ADJ
cord-104158-l7s2utqb	150	30	behavior	behavior	NOUN
cord-104158-l7s2utqb	150	31	,	,	PUNCT
cord-104158-l7s2utqb	150	32	and	and	CCONJ
cord-104158-l7s2utqb	150	33	the	the	DET
cord-104158-l7s2utqb	150	34	last	last	ADJ
cord-104158-l7s2utqb	150	35	term	term	NOUN
cord-104158-l7s2utqb	151	1	uβ	uβ	PROPN
cord-104158-l7s2utqb	151	2	=	=	X
cord-104158-l7s2utqb	151	3	−η(t)β	−η(t)β	X
cord-104158-l7s2utqb	151	4	dl	dl	PROPN
cord-104158-l7s2utqb	151	5	dw	dw	PROPN
cord-104158-l7s2utqb	151	6	(	(	PUNCT
cord-104158-l7s2utqb	151	7	j	j	NOUN
cord-104158-l7s2utqb	151	8	/	/	SYM
cord-104158-l7s2utqb	151	9	j	j	NOUN
cord-104158-l7s2utqb	152	1	*	*	PUNCT
cord-104158-l7s2utqb	153	1	−	−	NUM
cord-104158-l7s2utqb	153	2	1	1	NUM
cord-104158-l7s2utqb	153	3	)	)	PUNCT
cord-104158-l7s2utqb	153	4	ensures	ensure	VERB
cord-104158-l7s2utqb	153	5	dissipation	dissipation	NOUN
cord-104158-l7s2utqb	153	6	of	of	ADP
cord-104158-l7s2utqb	153	7	energy	energy	NOUN
cord-104158-l7s2utqb	153	8	and	and	CCONJ
cord-104158-l7s2utqb	153	9	convergence	convergence	NOUN
cord-104158-l7s2utqb	153	10	to	to	ADP
cord-104158-l7s2utqb	153	11	the	the	DET
cord-104158-l7s2utqb	153	12	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	153	13	.	.	PUNCT
cord-104158-l7s2utqb	154	1	we	we	PRON
cord-104158-l7s2utqb	154	2	now	now	ADV
cord-104158-l7s2utqb	154	3	describe	describe	VERB
cord-104158-l7s2utqb	154	4	a	a	DET
cord-104158-l7s2utqb	154	5	practical	practical	ADJ
cord-104158-l7s2utqb	154	6	solution	solution	NOUN
cord-104158-l7s2utqb	154	7	to	to	ADP
cord-104158-l7s2utqb	154	8	the	the	DET
cord-104158-l7s2utqb	154	9	public	public	ADJ
cord-104158-l7s2utqb	154	10	health	health	NOUN
cord-104158-l7s2utqb	154	11	restriction	restriction	NOUN
cord-104158-l7s2utqb	154	12	control	control	NOUN
cord-104158-l7s2utqb	154	13	problem	problem	NOUN
cord-104158-l7s2utqb	154	14	in	in	ADP
cord-104158-l7s2utqb	154	15	section	section	NOUN
cord-104158-l7s2utqb	154	16	2	2	NUM
cord-104158-l7s2utqb	154	17	.	.	PUNCT
cord-104158-l7s2utqb	155	1	algorithm	algorithm	PROPN
cord-104158-l7s2utqb	155	2	1	1	NUM
cord-104158-l7s2utqb	155	3	outlines	outline	VERB
cord-104158-l7s2utqb	155	4	a	a	DET
cord-104158-l7s2utqb	155	5	holistic	holistic	ADJ
cord-104158-l7s2utqb	155	6	approach	approach	NOUN
cord-104158-l7s2utqb	155	7	to	to	PART
cord-104158-l7s2utqb	155	8	obtain	obtain	VERB
cord-104158-l7s2utqb	155	9	a	a	DET
cord-104158-l7s2utqb	155	10	restriction	restriction	NOUN
cord-104158-l7s2utqb	155	11	schedule	schedule	NOUN
cord-104158-l7s2utqb	155	12	using	use	VERB
cord-104158-l7s2utqb	155	13	the	the	DET
cord-104158-l7s2utqb	155	14	optimal	optimal	ADJ
cord-104158-l7s2utqb	155	15	β	β	NOUN
cord-104158-l7s2utqb	155	16	-	-	PUNCT
cord-104158-l7s2utqb	155	17	control	control	NOUN
cord-104158-l7s2utqb	155	18	in	in	ADP
cord-104158-l7s2utqb	155	19	theorem	theorem	NOUN
cord-104158-l7s2utqb	155	20	4	4	NUM
cord-104158-l7s2utqb	155	21	.	.	PUNCT
cord-104158-l7s2utqb	156	1	there	there	PRON
cord-104158-l7s2utqb	156	2	are	be	VERB
cord-104158-l7s2utqb	156	3	four	four	NUM
cord-104158-l7s2utqb	156	4	key	key	ADJ
cord-104158-l7s2utqb	156	5	steps	step	NOUN
cord-104158-l7s2utqb	156	6	.	.	PUNCT
cord-104158-l7s2utqb	157	1	input	input	NOUN
cord-104158-l7s2utqb	157	2	collection	collection	PROPN
cord-104158-l7s2utqb	157	3	.	.	PUNCT
cord-104158-l7s2utqb	158	1	infection	infection	NOUN
cord-104158-l7s2utqb	158	2	level	level	NOUN
cord-104158-l7s2utqb	158	3	targets	target	NOUN
cord-104158-l7s2utqb	158	4	(	(	PUNCT
cord-104158-l7s2utqb	158	5	i	i	PRON
cord-104158-l7s2utqb	158	6	target	target	VERB
cord-104158-l7s2utqb	158	7	avg	avg	NOUN
cord-104158-l7s2utqb	158	8	,	,	PUNCT
cord-104158-l7s2utqb	158	9	i	i	PRON
cord-104158-l7s2utqb	158	10	target	target	VERB
cord-104158-l7s2utqb	158	11	max	max	PROPN
cord-104158-l7s2utqb	158	12	)	)	PUNCT
cord-104158-l7s2utqb	158	13	,	,	PUNCT
cord-104158-l7s2utqb	158	14	periodicity	periodicity	NOUN
cord-104158-l7s2utqb	158	15	of	of	ADP
cord-104158-l7s2utqb	158	16	the	the	DET
cord-104158-l7s2utqb	158	17	restriction	restriction	NOUN
cord-104158-l7s2utqb	158	18	schedule	schedule	NOUN
cord-104158-l7s2utqb	158	19	(	(	PUNCT
cord-104158-l7s2utqb	158	20	t	t	NOUN
cord-104158-l7s2utqb	158	21	period	period	NOUN
cord-104158-l7s2utqb	158	22	)	)	PUNCT
cord-104158-l7s2utqb	158	23	,	,	PUNCT
cord-104158-l7s2utqb	158	24	decision	decision	NOUN
cord-104158-l7s2utqb	158	25	horizon	horizon	NOUN
cord-104158-l7s2utqb	158	26	(	(	PUNCT
cord-104158-l7s2utqb	158	27	t	t	NOUN
cord-104158-l7s2utqb	158	28	)	)	PUNCT
cord-104158-l7s2utqb	158	29	need	need	VERB
cord-104158-l7s2utqb	158	30	to	to	PART
cord-104158-l7s2utqb	158	31	be	be	AUX
cord-104158-l7s2utqb	158	32	determined	determine	VERB
cord-104158-l7s2utqb	158	33	based	base	VERB
cord-104158-l7s2utqb	158	34	on	on	ADP
cord-104158-l7s2utqb	158	35	a	a	DET
cord-104158-l7s2utqb	158	36	careful	careful	ADJ
cord-104158-l7s2utqb	158	37	assessment	assessment	NOUN
cord-104158-l7s2utqb	158	38	of	of	ADP
cord-104158-l7s2utqb	158	39	public	public	ADJ
cord-104158-l7s2utqb	158	40	health	health	NOUN
cord-104158-l7s2utqb	158	41	and	and	CCONJ
cord-104158-l7s2utqb	158	42	socioeconomic	socioeconomic	ADJ
cord-104158-l7s2utqb	158	43	considerations	consideration	NOUN
cord-104158-l7s2utqb	158	44	.	.	PUNCT
cord-104158-l7s2utqb	159	1	historical	historical	ADJ
cord-104158-l7s2utqb	159	2	case	case	NOUN
cord-104158-l7s2utqb	159	3	counts	count	VERB
cord-104158-l7s2utqb	159	4	and	and	CCONJ
cord-104158-l7s2utqb	159	5	restrictions	restriction	NOUN
cord-104158-l7s2utqb	159	6	(	(	PUNCT
cord-104158-l7s2utqb	159	7	[	[	X
cord-104158-l7s2utqb	159	8	s	s	NOUN
cord-104158-l7s2utqb	159	9	t	t	NOUN
cord-104158-l7s2utqb	159	10	,	,	PUNCT
cord-104158-l7s2utqb	159	11	i	i	PRON
cord-104158-l7s2utqb	159	12	t	t	NOUN
cord-104158-l7s2utqb	159	13	,	,	PUNCT
cord-104158-l7s2utqb	159	14	r	r	NOUN
cord-104158-l7s2utqb	159	15	t	t	PROPN
cord-104158-l7s2utqb	159	16	,	,	PUNCT
cord-104158-l7s2utqb	159	17	a	a	DET
cord-104158-l7s2utqb	159	18	t	t	NOUN
cord-104158-l7s2utqb	159	19	]	]	PUNCT
cord-104158-l7s2utqb	159	20	,	,	PUNCT
cord-104158-l7s2utqb	159	21	[	[	X
cord-104158-l7s2utqb	159	22	t	t	X
cord-104158-l7s2utqb	159	23	]	]	X
cord-104158-l7s2utqb	159	24	curr	curr	PROPN
cord-104158-l7s2utqb	159	25	0	0	NUM
cord-104158-l7s2utqb	159	26	)	)	PUNCT
cord-104158-l7s2utqb	159	27	also	also	ADV
cord-104158-l7s2utqb	159	28	need	need	VERB
cord-104158-l7s2utqb	159	29	to	to	PART
cord-104158-l7s2utqb	159	30	be	be	AUX
cord-104158-l7s2utqb	159	31	collected	collect	VERB
cord-104158-l7s2utqb	159	32	to	to	PART
cord-104158-l7s2utqb	159	33	enable	enable	VERB
cord-104158-l7s2utqb	159	34	accurate	accurate	ADJ
cord-104158-l7s2utqb	159	35	optimization	optimization	NOUN
cord-104158-l7s2utqb	159	36	.	.	PUNCT
cord-104158-l7s2utqb	160	1	data	data	NOUN
cord-104158-l7s2utqb	160	2	-	-	PUNCT
cord-104158-l7s2utqb	160	3	driven	drive	VERB
cord-104158-l7s2utqb	160	4	calibration	calibration	NOUN
cord-104158-l7s2utqb	160	5	.	.	PUNCT
cord-104158-l7s2utqb	161	1	the	the	DET
cord-104158-l7s2utqb	161	2	next	next	ADJ
cord-104158-l7s2utqb	161	3	step	step	NOUN
cord-104158-l7s2utqb	161	4	is	be	AUX
cord-104158-l7s2utqb	161	5	to	to	PART
cord-104158-l7s2utqb	161	6	use	use	VERB
cord-104158-l7s2utqb	161	7	sir	sir	PROPN
cord-104158-l7s2utqb	161	8	-	-	PUNCT
cord-104158-l7s2utqb	161	9	calibration	calibration	NOUN
cord-104158-l7s2utqb	161	10	methods	method	NOUN
cord-104158-l7s2utqb	161	11	[	[	PUNCT
cord-104158-l7s2utqb	161	12	40	40	NUM
cord-104158-l7s2utqb	161	13	,	,	PUNCT
cord-104158-l7s2utqb	161	14	11	11	NUM
cord-104158-l7s2utqb	161	15	,	,	PUNCT
cord-104158-l7s2utqb	161	16	7	7	NUM
cord-104158-l7s2utqb	161	17	]	]	PUNCT
cord-104158-l7s2utqb	161	18	along	along	ADP
cord-104158-l7s2utqb	161	19	with	with	ADP
cord-104158-l7s2utqb	161	20	historical	historical	ADJ
cord-104158-l7s2utqb	161	21	data	datum	NOUN
cord-104158-l7s2utqb	161	22	to	to	PART
cord-104158-l7s2utqb	161	23	estimate	estimate	VERB
cord-104158-l7s2utqb	161	24	a	a	DET
cord-104158-l7s2utqb	161	25	static	static	ADJ
cord-104158-l7s2utqb	161	26	γ	γ	NOUN
cord-104158-l7s2utqb	161	27	,	,	PUNCT
cord-104158-l7s2utqb	161	28	time	time	NOUN
cord-104158-l7s2utqb	161	29	-	-	PUNCT
cord-104158-l7s2utqb	161	30	varying	vary	VERB
cord-104158-l7s2utqb	161	31	β	β	NOUN
cord-104158-l7s2utqb	161	32	,	,	PUNCT
cord-104158-l7s2utqb	161	33	and	and	CCONJ
cord-104158-l7s2utqb	161	34	the	the	DET
cord-104158-l7s2utqb	161	35	state	state	NOUN
cord-104158-l7s2utqb	161	36	of	of	ADP
cord-104158-l7s2utqb	161	37	the	the	DET
cord-104158-l7s2utqb	161	38	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	161	39	(	(	PUNCT
cord-104158-l7s2utqb	161	40	s	s	X
cord-104158-l7s2utqb	161	41	curr	curr	NOUN
cord-104158-l7s2utqb	161	42	,	,	PUNCT
cord-104158-l7s2utqb	161	43	i	i	PRON
cord-104158-l7s2utqb	161	44	curr	curr	NOUN
cord-104158-l7s2utqb	161	45	,	,	PUNCT
cord-104158-l7s2utqb	161	46	r	r	NOUN
cord-104158-l7s2utqb	161	47	curr	curr	NOUN
cord-104158-l7s2utqb	161	48	)	)	PUNCT
cord-104158-l7s2utqb	161	49	.	.	PUNCT
cord-104158-l7s2utqb	162	1	the	the	DET
cord-104158-l7s2utqb	162	2	restriction	restriction	NOUN
cord-104158-l7s2utqb	162	3	level	level	NOUN
cord-104158-l7s2utqb	162	4	to	to	ADP
cord-104158-l7s2utqb	162	5	transmission	transmission	NOUN
cord-104158-l7s2utqb	162	6	map	map	NOUN
cord-104158-l7s2utqb	162	7	,	,	PUNCT
cord-104158-l7s2utqb	162	8	π	π	NOUN
cord-104158-l7s2utqb	162	9	,	,	PUNCT
cord-104158-l7s2utqb	162	10	can	can	AUX
cord-104158-l7s2utqb	162	11	be	be	AUX
cord-104158-l7s2utqb	162	12	initially	initially	ADV
cord-104158-l7s2utqb	162	13	chosen	choose	VERB
cord-104158-l7s2utqb	162	14	from	from	ADP
cord-104158-l7s2utqb	162	15	public	public	ADJ
cord-104158-l7s2utqb	162	16	health	health	NOUN
cord-104158-l7s2utqb	162	17	guidelines	guideline	NOUN
cord-104158-l7s2utqb	162	18	[	[	X
cord-104158-l7s2utqb	162	19	1	1	NUM
cord-104158-l7s2utqb	162	20	]	]	PUNCT
cord-104158-l7s2utqb	162	21	and	and	CCONJ
cord-104158-l7s2utqb	162	22	refined	refine	VERB
cord-104158-l7s2utqb	162	23	using	use	VERB
cord-104158-l7s2utqb	162	24	the	the	DET
cord-104158-l7s2utqb	162	25	observed	observe	VERB
cord-104158-l7s2utqb	162	26	β	β	NOUN
cord-104158-l7s2utqb	162	27	for	for	ADP
cord-104158-l7s2utqb	162	28	past	past	ADJ
cord-104158-l7s2utqb	162	29	restrictions	restriction	NOUN
cord-104158-l7s2utqb	162	30	in	in	ADP
cord-104158-l7s2utqb	162	31	the	the	DET
cord-104158-l7s2utqb	162	32	region	region	NOUN
cord-104158-l7s2utqb	162	33	of	of	ADP
cord-104158-l7s2utqb	162	34	interest	interest	NOUN
cord-104158-l7s2utqb	162	35	.	.	PUNCT
cord-104158-l7s2utqb	163	1	choosing	choose	VERB
cord-104158-l7s2utqb	163	2	cosir	cosir	PROPN
cord-104158-l7s2utqb	163	3	parameters	parameter	NOUN
cord-104158-l7s2utqb	163	4	.	.	PUNCT
cord-104158-l7s2utqb	164	1	the	the	DET
cord-104158-l7s2utqb	164	2	free	free	ADJ
cord-104158-l7s2utqb	164	3	parameters	parameter	NOUN
cord-104158-l7s2utqb	164	4	of	of	ADP
cord-104158-l7s2utqb	164	5	the	the	DET
cord-104158-l7s2utqb	164	6	cosir	cosir	PROPN
cord-104158-l7s2utqb	164	7	model	model	NOUN
cord-104158-l7s2utqb	164	8	need	need	VERB
cord-104158-l7s2utqb	164	9	to	to	PART
cord-104158-l7s2utqb	164	10	be	be	AUX
cord-104158-l7s2utqb	164	11	chosen	choose	VERB
cord-104158-l7s2utqb	164	12	based	base	VERB
cord-104158-l7s2utqb	164	13	on	on	ADP
cord-104158-l7s2utqb	164	14	the	the	DET
cord-104158-l7s2utqb	164	15	control	control	NOUN
cord-104158-l7s2utqb	164	16	requirements	requirement	NOUN
cord-104158-l7s2utqb	164	17	.	.	PUNCT
cord-104158-l7s2utqb	165	1	algorithm	algorithm	PROPN
cord-104158-l7s2utqb	165	2	1	1	NUM
cord-104158-l7s2utqb	165	3	lists	list	VERB
cord-104158-l7s2utqb	165	4	the	the	DET
cord-104158-l7s2utqb	165	5	updates	update	NOUN
cord-104158-l7s2utqb	165	6	derived	derive	VERB
cord-104158-l7s2utqb	165	7	from	from	ADP
cord-104158-l7s2utqb	165	8	theorem	theorem	PROPN
cord-104158-l7s2utqb	165	9	2	2	NUM
cord-104158-l7s2utqb	165	10	with	with	ADP
cord-104158-l7s2utqb	165	11	flexibility	flexibility	NOUN
cord-104158-l7s2utqb	165	12	on	on	ADP
cord-104158-l7s2utqb	165	13	the	the	DET
cord-104158-l7s2utqb	165	14	choice	choice	NOUN
cord-104158-l7s2utqb	165	15	ofβ	ofβ	NOUN
cord-104158-l7s2utqb	165	16	curr	curr	PROPN
cord-104158-l7s2utqb	165	17	and	and	CCONJ
cord-104158-l7s2utqb	165	18	η	η	NOUN
cord-104158-l7s2utqb	165	19	.	.	PROPN
cord-104158-l7s2utqb	165	20	choosing	choose	VERB
cord-104158-l7s2utqb	165	21	the	the	DET
cord-104158-l7s2utqb	165	22	immediate	immediate	ADJ
cord-104158-l7s2utqb	165	23	transmission	transmission	NOUN
cord-104158-l7s2utqb	165	24	rate	rate	NOUN
cord-104158-l7s2utqb	165	25	to	to	ADP
cord-104158-l7s2utqb	165	26	beβ	beβ	NOUN
cord-104158-l7s2utqb	165	27	curr	curr	PROPN
cord-104158-l7s2utqb	165	28	=	=	X
cord-104158-l7s2utqb	165	29	j	j	X
cord-104158-l7s2utqb	165	30	*	*	PUNCT
cord-104158-l7s2utqb	165	31	scurr	scurr	PROPN
cord-104158-l7s2utqb	165	32	=	=	PROPN
cord-104158-l7s2utqb	165	33	γn	γn	X
cord-104158-l7s2utqb	165	34	scurr	scurr	PROPN
cord-104158-l7s2utqb	165	35	(	(	PUNCT
cord-104158-l7s2utqb	165	36	equivalent	equivalent	ADJ
cord-104158-l7s2utqb	165	37	to	to	ADP
cord-104158-l7s2utqb	165	38	forcing	force	VERB
cord-104158-l7s2utqb	165	39	effective	effective	ADJ
cord-104158-l7s2utqb	165	40	reproduction	reproduction	NOUN
cord-104158-l7s2utqb	165	41	number	number	NOUN
cord-104158-l7s2utqb	165	42	r	r	NOUN
cord-104158-l7s2utqb	165	43	ef	ef	X
cord-104158-l7s2utqb	165	44	f	f	PROPN
cord-104158-l7s2utqb	165	45	=	=	SYM
cord-104158-l7s2utqb	165	46	1	1	NUM
cord-104158-l7s2utqb	165	47	)	)	PUNCT
cord-104158-l7s2utqb	165	48	ensures	ensure	VERB
cord-104158-l7s2utqb	165	49	a	a	DET
cord-104158-l7s2utqb	165	50	maximal	maximal	ADJ
cord-104158-l7s2utqb	165	51	reduction	reduction	NOUN
cord-104158-l7s2utqb	165	52	in	in	ADP
cord-104158-l7s2utqb	165	53	the	the	DET
cord-104158-l7s2utqb	165	54	system	system	NOUN
cord-104158-l7s2utqb	165	55	"	"	PUNCT
cord-104158-l7s2utqb	165	56	energy	energy	NOUN
cord-104158-l7s2utqb	165	57	"	"	PUNCT
cord-104158-l7s2utqb	165	58	and	and	CCONJ
cord-104158-l7s2utqb	165	59	faster	fast	ADJ
cord-104158-l7s2utqb	165	60	convergence	convergence	NOUN
cord-104158-l7s2utqb	165	61	to	to	ADP
cord-104158-l7s2utqb	165	62	the	the	DET
cord-104158-l7s2utqb	165	63	desired	desire	VERB
cord-104158-l7s2utqb	165	64	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	165	65	,	,	PUNCT
cord-104158-l7s2utqb	165	66	but	but	CCONJ
cord-104158-l7s2utqb	165	67	dampens	dampen	VERB
cord-104158-l7s2utqb	165	68	fluctuations	fluctuation	NOUN
cord-104158-l7s2utqb	165	69	.	.	PUNCT
cord-104158-l7s2utqb	166	1	however	however	ADV
cord-104158-l7s2utqb	166	2	,	,	PUNCT
cord-104158-l7s2utqb	166	3	fluctuations	fluctuation	NOUN
cord-104158-l7s2utqb	166	4	might	might	AUX
cord-104158-l7s2utqb	166	5	be	be	AUX
cord-104158-l7s2utqb	166	6	necessary	necessary	ADJ
cord-104158-l7s2utqb	166	7	for	for	ADP
cord-104158-l7s2utqb	166	8	economic	economic	ADJ
cord-104158-l7s2utqb	166	9	activity	activity	NOUN
cord-104158-l7s2utqb	166	10	.	.	PUNCT
cord-104158-l7s2utqb	167	1	when	when	SCONJ
cord-104158-l7s2utqb	167	2	nearly	nearly	ADV
cord-104158-l7s2utqb	167	3	steady	steady	ADJ
cord-104158-l7s2utqb	167	4	infection	infection	NOUN
cord-104158-l7s2utqb	167	5	levels	level	NOUN
cord-104158-l7s2utqb	167	6	are	be	AUX
cord-104158-l7s2utqb	167	7	desired	desire	VERB
cord-104158-l7s2utqb	167	8	,	,	PUNCT
cord-104158-l7s2utqb	167	9	i	i	PRON
cord-104158-l7s2utqb	167	10	target	target	VERB
cord-104158-l7s2utqb	167	11	avg	avg	NOUN
cord-104158-l7s2utqb	167	12	i	i	PRON
cord-104158-l7s2utqb	167	13	target	target	VERB
cord-104158-l7s2utqb	167	14	max	max	PROPN
cord-104158-l7s2utqb	167	15	,	,	PUNCT
cord-104158-l7s2utqb	167	16	then	then	ADV
cord-104158-l7s2utqb	167	17	r	r	NOUN
cord-104158-l7s2utqb	167	18	=	=	NOUN
cord-104158-l7s2utqb	167	19	(	(	PUNCT
cord-104158-l7s2utqb	167	20	2π	2π	NUM
cord-104158-l7s2utqb	167	21	)	)	PUNCT
cord-104158-l7s2utqb	167	22	2	2	NUM
cord-104158-l7s2utqb	167	23	γt	γt	NOUN
cord-104158-l7s2utqb	167	24	2	2	NUM
cord-104158-l7s2utqb	167	25	period	period	NOUN
cord-104158-l7s2utqb	167	26	and	and	CCONJ
cord-104158-l7s2utqb	167	27	high	high	ADJ
cord-104158-l7s2utqb	167	28	η	η	NOUN
cord-104158-l7s2utqb	167	29	are	be	AUX
cord-104158-l7s2utqb	167	30	appropriate	appropriate	ADJ
cord-104158-l7s2utqb	167	31	.	.	PUNCT
cord-104158-l7s2utqb	168	1	computing	compute	VERB
cord-104158-l7s2utqb	168	2	optimal	optimal	ADJ
cord-104158-l7s2utqb	168	3	restrictions	restriction	NOUN
cord-104158-l7s2utqb	168	4	.	.	PUNCT
cord-104158-l7s2utqb	169	1	determining	determine	VERB
cord-104158-l7s2utqb	169	2	the	the	DET
cord-104158-l7s2utqb	169	3	optimal	optimal	ADJ
cord-104158-l7s2utqb	169	4	policy	policy	NOUN
cord-104158-l7s2utqb	169	5	can	can	AUX
cord-104158-l7s2utqb	169	6	be	be	AUX
cord-104158-l7s2utqb	169	7	split	split	VERB
cord-104158-l7s2utqb	169	8	into	into	ADP
cord-104158-l7s2utqb	169	9	two	two	NUM
cord-104158-l7s2utqb	169	10	phases	phase	NOUN
cord-104158-l7s2utqb	169	11	.	.	PUNCT
cord-104158-l7s2utqb	170	1	the	the	DET
cord-104158-l7s2utqb	170	2	first	first	ADJ
cord-104158-l7s2utqb	170	3	involves	involve	VERB
cord-104158-l7s2utqb	170	4	estimating	estimate	VERB
cord-104158-l7s2utqb	170	5	the	the	DET
cord-104158-l7s2utqb	170	6	ideal	ideal	ADJ
cord-104158-l7s2utqb	170	7	β	β	NOUN
cord-104158-l7s2utqb	170	8	control	control	NOUN
cord-104158-l7s2utqb	170	9	from	from	ADP
cord-104158-l7s2utqb	170	10	eqn	eqn	NOUN
cord-104158-l7s2utqb	170	11	.	.	PUNCT
cord-104158-l7s2utqb	171	1	4	4	NUM
cord-104158-l7s2utqb	171	2	while	while	SCONJ
cord-104158-l7s2utqb	171	3	the	the	DET
cord-104158-l7s2utqb	171	4	second	second	ADJ
cord-104158-l7s2utqb	171	5	involves	involve	VERB
cord-104158-l7s2utqb	171	6	identifying	identify	VERB
cord-104158-l7s2utqb	171	7	the	the	DET
cord-104158-l7s2utqb	171	8	"	"	PUNCT
cord-104158-l7s2utqb	171	9	closest	close	ADJ
cord-104158-l7s2utqb	171	10	"	"	PUNCT
cord-104158-l7s2utqb	171	11	restriction	restriction	NOUN
cord-104158-l7s2utqb	171	12	level	level	NOUN
cord-104158-l7s2utqb	171	13	for	for	ADP
cord-104158-l7s2utqb	171	14	the	the	DET
cord-104158-l7s2utqb	171	15	ideal	ideal	ADJ
cord-104158-l7s2utqb	171	16	β	β	NOUN
cord-104158-l7s2utqb	171	17	at	at	ADP
cord-104158-l7s2utqb	171	18	each	each	DET
cord-104158-l7s2utqb	171	19	time	time	NOUN
cord-104158-l7s2utqb	171	20	step	step	NOUN
cord-104158-l7s2utqb	171	21	with	with	ADP
cord-104158-l7s2utqb	171	22	"	"	PUNCT
cord-104158-l7s2utqb	171	23	closeness	closeness	NOUN
cord-104158-l7s2utqb	171	24	"	"	PUNCT
cord-104158-l7s2utqb	171	25	based	base	VERB
cord-104158-l7s2utqb	171	26	on	on	ADP
cord-104158-l7s2utqb	171	27	a	a	DET
cord-104158-l7s2utqb	171	28	suitable	suitable	ADJ
cord-104158-l7s2utqb	171	29	divergence	divergence	NOUN
cord-104158-l7s2utqb	171	30	such	such	ADJ
cord-104158-l7s2utqb	171	31	as	as	ADP
cord-104158-l7s2utqb	171	32	the	the	DET
cord-104158-l7s2utqb	171	33	squared	squared	ADJ
cord-104158-l7s2utqb	171	34	loss	loss	NOUN
cord-104158-l7s2utqb	171	35	.	.	PUNCT
cord-104158-l7s2utqb	172	1	employing	employ	VERB
cord-104158-l7s2utqb	172	2	algorithm	algorithm	NOUN
cord-104158-l7s2utqb	172	3	1	1	NUM
cord-104158-l7s2utqb	172	4	for	for	ADP
cord-104158-l7s2utqb	172	5	the	the	DET
cord-104158-l7s2utqb	172	6	scenario	scenario	NOUN
cord-104158-l7s2utqb	172	7	in	in	ADP
cord-104158-l7s2utqb	172	8	example	example	NOUN
cord-104158-l7s2utqb	172	9	1	1	NUM
cord-104158-l7s2utqb	172	10	with	with	ADP
cord-104158-l7s2utqb	172	11	a	a	DET
cord-104158-l7s2utqb	172	12	weekly	weekly	ADJ
cord-104158-l7s2utqb	172	13	periodicity	periodicity	NOUN
cord-104158-l7s2utqb	172	14	,	,	PUNCT
cord-104158-l7s2utqb	172	15	we	we	PRON
cord-104158-l7s2utqb	172	16	obtain	obtain	VERB
cord-104158-l7s2utqb	172	17	suitable	suitable	ADJ
cord-104158-l7s2utqb	172	18	parameters	parameter	NOUN
cord-104158-l7s2utqb	172	19	(	(	PUNCT
cord-104158-l7s2utqb	172	20	table	table	NOUN
cord-104158-l7s2utqb	172	21	2	2	NUM
cord-104158-l7s2utqb	172	22	)	)	PUNCT
cord-104158-l7s2utqb	172	23	for	for	ADP
cord-104158-l7s2utqb	172	24	the	the	DET
cord-104158-l7s2utqb	172	25	cosir	cosir	PROPN
cord-104158-l7s2utqb	172	26	model	model	PROPN
cord-104158-l7s2utqb	172	27	.	.	PUNCT
cord-104158-l7s2utqb	173	1	fig	fig	PROPN
cord-104158-l7s2utqb	173	2	4	4	NUM
cord-104158-l7s2utqb	173	3	shows	show	VERB
cord-104158-l7s2utqb	173	4	the	the	DET
cord-104158-l7s2utqb	173	5	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	173	6	with	with	ADP
cord-104158-l7s2utqb	173	7	three	three	NUM
cord-104158-l7s2utqb	173	8	variants	variant	NOUN
cord-104158-l7s2utqb	173	9	of	of	ADP
cord-104158-l7s2utqb	173	10	restriction	restriction	NOUN
cord-104158-l7s2utqb	173	11	policies	policy	NOUN
cord-104158-l7s2utqb	173	12	(	(	PUNCT
cord-104158-l7s2utqb	173	13	arbitrary	arbitrary	ADJ
cord-104158-l7s2utqb	173	14	,	,	PUNCT
cord-104158-l7s2utqb	173	15	cosir	cosir	PROPN
cord-104158-l7s2utqb	173	16	,	,	PUNCT
cord-104158-l7s2utqb	173	17	and	and	CCONJ
cord-104158-l7s2utqb	173	18	cosir	cosir	PROPN
cord-104158-l7s2utqb	173	19	-	-	PUNCT
cord-104158-l7s2utqb	173	20	approximation	approximation	NOUN
cord-104158-l7s2utqb	173	21	based	base	VERB
cord-104158-l7s2utqb	173	22	on	on	ADP
cord-104158-l7s2utqb	173	23	the	the	DET
cord-104158-l7s2utqb	173	24	specified	specify	VERB
cord-104158-l7s2utqb	173	25	levels	level	NOUN
cord-104158-l7s2utqb	173	26	)	)	PUNCT
cord-104158-l7s2utqb	173	27	.	.	PUNCT
cord-104158-l7s2utqb	174	1	in	in	ADP
cord-104158-l7s2utqb	174	2	case	case	NOUN
cord-104158-l7s2utqb	174	3	of	of	ADP
cord-104158-l7s2utqb	174	4	the	the	DET
cord-104158-l7s2utqb	174	5	arbitrary	arbitrary	ADJ
cord-104158-l7s2utqb	174	6	policy	policy	NOUN
cord-104158-l7s2utqb	174	7	,	,	PUNCT
cord-104158-l7s2utqb	174	8	the	the	DET
cord-104158-l7s2utqb	174	9	infections	infection	NOUN
cord-104158-l7s2utqb	174	10	peak	peak	VERB
cord-104158-l7s2utqb	174	11	in	in	ADP
cord-104158-l7s2utqb	174	12	narrow	narrow	ADJ
cord-104158-l7s2utqb	174	13	time	time	NOUN
cord-104158-l7s2utqb	174	14	intervals	interval	NOUN
cord-104158-l7s2utqb	174	15	and	and	CCONJ
cord-104158-l7s2utqb	174	16	become	become	VERB
cord-104158-l7s2utqb	174	17	unmanageable	unmanageable	ADJ
cord-104158-l7s2utqb	174	18	while	while	SCONJ
cord-104158-l7s2utqb	174	19	the	the	DET
cord-104158-l7s2utqb	174	20	ideal	ideal	ADJ
cord-104158-l7s2utqb	174	21	cosir	cosir	PROPN
cord-104158-l7s2utqb	174	22	and	and	CCONJ
cord-104158-l7s2utqb	174	23	even	even	ADV
cord-104158-l7s2utqb	174	24	approximate	approximate	ADJ
cord-104158-l7s2utqb	174	25	control	control	NOUN
cord-104158-l7s2utqb	174	26	variants	variant	NOUN
cord-104158-l7s2utqb	174	27	are	be	AUX
cord-104158-l7s2utqb	174	28	able	able	ADJ
cord-104158-l7s2utqb	174	29	to	to	PART
cord-104158-l7s2utqb	174	30	achieve	achieve	VERB
cord-104158-l7s2utqb	174	31	a	a	DET
cord-104158-l7s2utqb	174	32	steady	steady	ADJ
cord-104158-l7s2utqb	174	33	rate	rate	NOUN
cord-104158-l7s2utqb	174	34	of	of	ADP
cord-104158-l7s2utqb	174	35	infections	infection	NOUN
cord-104158-l7s2utqb	174	36	.	.	PUNCT
cord-104158-l7s2utqb	175	1	this	this	PRON
cord-104158-l7s2utqb	175	2	is	be	AUX
cord-104158-l7s2utqb	175	3	true	true	ADJ
cord-104158-l7s2utqb	175	4	even	even	ADV
cord-104158-l7s2utqb	175	5	when	when	SCONJ
cord-104158-l7s2utqb	175	6	the	the	DET
cord-104158-l7s2utqb	175	7	infection	infection	NOUN
cord-104158-l7s2utqb	175	8	levels	level	NOUN
cord-104158-l7s2utqb	175	9	are	be	AUX
cord-104158-l7s2utqb	175	10	subject	subject	ADJ
cord-104158-l7s2utqb	175	11	to	to	ADP
cord-104158-l7s2utqb	175	12	sudden	sudden	ADJ
cord-104158-l7s2utqb	175	13	upward	upward	ADV
cord-104158-l7s2utqb	175	14	(	(	PUNCT
cord-104158-l7s2utqb	175	15	t	t	NOUN
cord-104158-l7s2utqb	175	16	=	=	NOUN
cord-104158-l7s2utqb	175	17	50	50	NUM
cord-104158-l7s2utqb	175	18	)	)	PUNCT
cord-104158-l7s2utqb	175	19	or	or	CCONJ
cord-104158-l7s2utqb	175	20	downward	downward	ADJ
cord-104158-l7s2utqb	175	21	perturbations	perturbation	NOUN
cord-104158-l7s2utqb	175	22	(	(	PUNCT
cord-104158-l7s2utqb	175	23	t	t	NOUN
cord-104158-l7s2utqb	175	24	=	=	NOUN
cord-104158-l7s2utqb	175	25	100	100	NUM
cord-104158-l7s2utqb	175	26	)	)	PUNCT
cord-104158-l7s2utqb	175	27	in	in	ADP
cord-104158-l7s2utqb	175	28	case	case	NOUN
cord-104158-l7s2utqb	175	29	of	of	ADP
cord-104158-l7s2utqb	175	30	super	super	ADJ
cord-104158-l7s2utqb	175	31	-	-	ADJ
cord-104158-l7s2utqb	175	32	spreader	spreader	ADJ
cord-104158-l7s2utqb	175	33	events	event	NOUN
cord-104158-l7s2utqb	175	34	or	or	CCONJ
cord-104158-l7s2utqb	175	35	sudden	sudden	ADJ
cord-104158-l7s2utqb	175	36	quarantine	quarantine	NOUN
cord-104158-l7s2utqb	175	37	restrictions	restriction	NOUN
cord-104158-l7s2utqb	175	38	respectively	respectively	ADV
cord-104158-l7s2utqb	175	39	.	.	PUNCT
cord-104158-l7s2utqb	176	1	the	the	DET
cord-104158-l7s2utqb	176	2	β	β	NOUN
cord-104158-l7s2utqb	176	3	-	-	PUNCT
cord-104158-l7s2utqb	176	4	control	control	NOUN
cord-104158-l7s2utqb	176	5	mechanism	mechanism	NOUN
cord-104158-l7s2utqb	176	6	adapts	adapt	VERB
cord-104158-l7s2utqb	176	7	and	and	CCONJ
cord-104158-l7s2utqb	176	8	continues	continue	VERB
cord-104158-l7s2utqb	176	9	to	to	PART
cord-104158-l7s2utqb	176	10	push	push	VERB
cord-104158-l7s2utqb	176	11	towards	towards	ADP
cord-104158-l7s2utqb	176	12	the	the	DET
cord-104158-l7s2utqb	176	13	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	176	14	.	.	PUNCT
cord-104158-l7s2utqb	177	1	8	8	NUM
cord-104158-l7s2utqb	177	2	.	.	PUNCT
cord-104158-l7s2utqb	178	1	cc	cc	X
cord-104158-l7s2utqb	178	2	-	-	PUNCT
cord-104158-l7s2utqb	178	3	by	by	ADP
cord-104158-l7s2utqb	178	4	-	-	PUNCT
cord-104158-l7s2utqb	178	5	nc	nc	PROPN
cord-104158-l7s2utqb	178	6	-	-	PUNCT
cord-104158-l7s2utqb	178	7	nd	nd	PROPN
cord-104158-l7s2utqb	178	8	4.0	4.0	NUM
cord-104158-l7s2utqb	178	9	international	international	ADJ
cord-104158-l7s2utqb	178	10	license	license	NOUN
cord-104158-l7s2utqb	178	11	it	it	PRON
cord-104158-l7s2utqb	178	12	is	be	AUX
cord-104158-l7s2utqb	178	13	made	make	VERB
cord-104158-l7s2utqb	178	14	available	available	ADJ
cord-104158-l7s2utqb	178	15	under	under	ADP
cord-104158-l7s2utqb	178	16	a	a	PRON
cord-104158-l7s2utqb	178	17	is	be	AUX
cord-104158-l7s2utqb	178	18	the	the	DET
cord-104158-l7s2utqb	178	19	author	author	NOUN
cord-104158-l7s2utqb	178	20	/	/	SYM
cord-104158-l7s2utqb	178	21	funder	funder	NOUN
cord-104158-l7s2utqb	178	22	,	,	PUNCT
cord-104158-l7s2utqb	178	23	who	who	PRON
cord-104158-l7s2utqb	178	24	has	have	AUX
cord-104158-l7s2utqb	178	25	granted	grant	VERB
cord-104158-l7s2utqb	178	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	178	27	a	a	DET
cord-104158-l7s2utqb	178	28	license	license	NOUN
cord-104158-l7s2utqb	178	29	to	to	PART
cord-104158-l7s2utqb	178	30	display	display	VERB
cord-104158-l7s2utqb	178	31	the	the	DET
cord-104158-l7s2utqb	178	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	178	33	in	in	ADP
cord-104158-l7s2utqb	178	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	178	35	.	.	PUNCT
cord-104158-l7s2utqb	179	1	we	we	PRON
cord-104158-l7s2utqb	179	2	now	now	ADV
cord-104158-l7s2utqb	179	3	briefly	briefly	ADV
cord-104158-l7s2utqb	179	4	describe	describe	VERB
cord-104158-l7s2utqb	179	5	some	some	DET
cord-104158-l7s2utqb	179	6	key	key	ADJ
cord-104158-l7s2utqb	179	7	extensions	extension	NOUN
cord-104158-l7s2utqb	179	8	.	.	PUNCT
cord-104158-l7s2utqb	180	1	delayed	delay	VERB
cord-104158-l7s2utqb	180	2	sir	sir	PROPN
cord-104158-l7s2utqb	180	3	&	&	CCONJ
cord-104158-l7s2utqb	180	4	seir	seir	PROPN
cord-104158-l7s2utqb	180	5	models	model	NOUN
cord-104158-l7s2utqb	180	6	.	.	PUNCT
cord-104158-l7s2utqb	181	1	the	the	DET
cord-104158-l7s2utqb	181	2	seir	seir	NOUN
cord-104158-l7s2utqb	181	3	model	model	NOUN
cord-104158-l7s2utqb	181	4	allows	allow	VERB
cord-104158-l7s2utqb	181	5	explicit	explicit	ADJ
cord-104158-l7s2utqb	181	6	modelling	modelling	NOUN
cord-104158-l7s2utqb	181	7	of	of	ADP
cord-104158-l7s2utqb	181	8	the	the	DET
cord-104158-l7s2utqb	181	9	incubation	incubation	NOUN
cord-104158-l7s2utqb	181	10	period	period	NOUN
cord-104158-l7s2utqb	181	11	and	and	CCONJ
cord-104158-l7s2utqb	181	12	is	be	AUX
cord-104158-l7s2utqb	181	13	known	know	VERB
cord-104158-l7s2utqb	181	14	to	to	PART
cord-104158-l7s2utqb	181	15	closely	closely	ADV
cord-104158-l7s2utqb	181	16	mimic	mimic	VERB
cord-104158-l7s2utqb	181	17	the	the	DET
cord-104158-l7s2utqb	181	18	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	181	19	of	of	ADP
cord-104158-l7s2utqb	181	20	the	the	DET
cord-104158-l7s2utqb	181	21	delayed	delayed	ADJ
cord-104158-l7s2utqb	181	22	sir	sir	NOUN
cord-104158-l7s2utqb	181	23	model	model	NOUN
cord-104158-l7s2utqb	182	1	[	[	X
cord-104158-l7s2utqb	182	2	27	27	NUM
cord-104158-l7s2utqb	182	3	]	]	PUNCT
cord-104158-l7s2utqb	182	4	.	.	PUNCT
cord-104158-l7s2utqb	183	1	when	when	SCONJ
cord-104158-l7s2utqb	183	2	β	β	PROPN
cord-104158-l7s2utqb	183	3	follows	follow	VERB
cord-104158-l7s2utqb	183	4	eqn	eqn	PROPN
cord-104158-l7s2utqb	183	5	.	.	PUNCT
cord-104158-l7s2utqb	184	1	2	2	NUM
cord-104158-l7s2utqb	184	2	,	,	PUNCT
cord-104158-l7s2utqb	184	3	the	the	DET
cord-104158-l7s2utqb	184	4	delayed	delayed	ADJ
cord-104158-l7s2utqb	184	5	sir	sir	PROPN
cord-104158-l7s2utqb	184	6	model	model	NOUN
cord-104158-l7s2utqb	184	7	readily	readily	ADV
cord-104158-l7s2utqb	184	8	maps	map	VERB
cord-104158-l7s2utqb	184	9	to	to	ADP
cord-104158-l7s2utqb	184	10	a	a	DET
cord-104158-l7s2utqb	184	11	delayed	delay	VERB
cord-104158-l7s2utqb	184	12	lv	lv	PROPN
cord-104158-l7s2utqb	184	13	system	system	NOUN
cord-104158-l7s2utqb	184	14	with	with	ADP
cord-104158-l7s2utqb	184	15	a	a	DET
cord-104158-l7s2utqb	184	16	non	non	ADJ
cord-104158-l7s2utqb	184	17	-	-	ADJ
cord-104158-l7s2utqb	184	18	preying	preying	ADJ
cord-104158-l7s2utqb	184	19	growth	growth	NOUN
cord-104158-l7s2utqb	184	20	period	period	NOUN
cord-104158-l7s2utqb	184	21	for	for	ADP
cord-104158-l7s2utqb	184	22	the	the	DET
cord-104158-l7s2utqb	184	23	predators	predator	NOUN
cord-104158-l7s2utqb	184	24	,	,	PUNCT
cord-104158-l7s2utqb	184	25	which	which	PRON
cord-104158-l7s2utqb	184	26	is	be	AUX
cord-104158-l7s2utqb	184	27	a	a	DET
cord-104158-l7s2utqb	184	28	special	special	ADJ
cord-104158-l7s2utqb	184	29	case	case	NOUN
cord-104158-l7s2utqb	184	30	of	of	ADP
cord-104158-l7s2utqb	184	31	the	the	DET
cord-104158-l7s2utqb	184	32	well	well	ADV
cord-104158-l7s2utqb	184	33	-	-	PUNCT
cord-104158-l7s2utqb	184	34	studied	study	VERB
cord-104158-l7s2utqb	184	35	wangersky	wangersky	ADJ
cord-104158-l7s2utqb	184	36	-	-	PUNCT
cord-104158-l7s2utqb	184	37	cunningham	cunningham	NOUN
cord-104158-l7s2utqb	184	38	systems	system	NOUN
cord-104158-l7s2utqb	185	1	[	[	PUNCT
cord-104158-l7s2utqb	185	2	33	33	NUM
cord-104158-l7s2utqb	185	3	,	,	PUNCT
cord-104158-l7s2utqb	185	4	47	47	NUM
cord-104158-l7s2utqb	185	5	]	]	PUNCT
cord-104158-l7s2utqb	185	6	.	.	PUNCT
cord-104158-l7s2utqb	186	1	it	it	PRON
cord-104158-l7s2utqb	186	2	can	can	AUX
cord-104158-l7s2utqb	186	3	be	be	AUX
cord-104158-l7s2utqb	186	4	shown	show	VERB
cord-104158-l7s2utqb	186	5	that	that	SCONJ
cord-104158-l7s2utqb	186	6	the	the	DET
cord-104158-l7s2utqb	186	7	modified	modify	VERB
cord-104158-l7s2utqb	186	8	delayed	delay	VERB
cord-104158-l7s2utqb	186	9	sir	sir	NOUN
cord-104158-l7s2utqb	186	10	system	system	NOUN
cord-104158-l7s2utqb	186	11	with	with	ADP
cord-104158-l7s2utqb	186	12	a	a	DET
cord-104158-l7s2utqb	186	13	delay	delay	NOUN
cord-104158-l7s2utqb	186	14	τ	τ	X
cord-104158-l7s2utqb	186	15	has	have	VERB
cord-104158-l7s2utqb	186	16	the	the	DET
cord-104158-l7s2utqb	186	17	same	same	ADJ
cord-104158-l7s2utqb	186	18	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	186	19	(	(	PUNCT
cord-104158-l7s2utqb	186	20	j	j	NOUN
cord-104158-l7s2utqb	186	21	*	*	PROPN
cord-104158-l7s2utqb	186	22	,	,	PUNCT
cord-104158-l7s2utqb	186	23	i	i	PRON
cord-104158-l7s2utqb	186	24	*	*	PUNCT
cord-104158-l7s2utqb	186	25	)	)	PUNCT
cord-104158-l7s2utqb	187	1	=	=	PROPN
cord-104158-l7s2utqb	187	2	(	(	PUNCT
cord-104158-l7s2utqb	187	3	γn	γn	X
cord-104158-l7s2utqb	187	4	,	,	PUNCT
cord-104158-l7s2utqb	187	5	r	r	NOUN
cord-104158-l7s2utqb	187	6	/	/	SYM
cord-104158-l7s2utqb	187	7	e	e	NOUN
cord-104158-l7s2utqb	187	8	)	)	PUNCT
cord-104158-l7s2utqb	187	9	,	,	PUNCT
cord-104158-l7s2utqb	187	10	exhibits	exhibit	NOUN
cord-104158-l7s2utqb	187	11	(	(	PUNCT
cord-104158-l7s2utqb	187	12	unbounded	unbounded	ADJ
cord-104158-l7s2utqb	187	13	)	)	PUNCT
cord-104158-l7s2utqb	187	14	oscillations	oscillation	NOUN
cord-104158-l7s2utqb	187	15	and	and	CCONJ
cord-104158-l7s2utqb	187	16	permits	permit	VERB
cord-104158-l7s2utqb	187	17	control	control	NOUN
cord-104158-l7s2utqb	187	18	of	of	ADP
cord-104158-l7s2utqb	187	19	the	the	DET
cord-104158-l7s2utqb	187	20	form	form	NOUN
cord-104158-l7s2utqb	187	21	eqn	eqn	NOUN
cord-104158-l7s2utqb	187	22	3	3	NUM
cord-104158-l7s2utqb	187	23	,	,	PUNCT
cord-104158-l7s2utqb	187	24	where	where	SCONJ
cord-104158-l7s2utqb	187	25	there	there	PRON
cord-104158-l7s2utqb	187	26	is	be	VERB
cord-104158-l7s2utqb	187	27	a	a	DET
cord-104158-l7s2utqb	187	28	need	need	NOUN
cord-104158-l7s2utqb	187	29	for	for	ADP
cord-104158-l7s2utqb	187	30	special	special	ADJ
cord-104158-l7s2utqb	187	31	handling	handling	NOUN
cord-104158-l7s2utqb	187	32	when	when	SCONJ
cord-104158-l7s2utqb	187	33	j	j	PROPN
cord-104158-l7s2utqb	187	34	approaches	approach	VERB
cord-104158-l7s2utqb	187	35	j	j	PROPN
cord-104158-l7s2utqb	187	36	*	*	PUNCT
cord-104158-l7s2utqb	187	37	with	with	ADP
cord-104158-l7s2utqb	187	38	the	the	DET
cord-104158-l7s2utqb	187	39	behavior	behavior	NOUN
cord-104158-l7s2utqb	187	40	depending	depend	VERB
cord-104158-l7s2utqb	187	41	on	on	ADP
cord-104158-l7s2utqb	187	42	τ	τ	PROPN
cord-104158-l7s2utqb	187	43	.	.	PUNCT
cord-104158-l7s2utqb	188	1	testing	testing	NOUN
cord-104158-l7s2utqb	188	2	&	&	CCONJ
cord-104158-l7s2utqb	188	3	isolation	isolation	NOUN
cord-104158-l7s2utqb	188	4	policy	policy	NOUN
cord-104158-l7s2utqb	188	5	.	.	PUNCT
cord-104158-l7s2utqb	189	1	testing	testing	NOUN
cord-104158-l7s2utqb	189	2	,	,	PUNCT
cord-104158-l7s2utqb	189	3	tracing	tracing	NOUN
cord-104158-l7s2utqb	189	4	and	and	CCONJ
cord-104158-l7s2utqb	189	5	isolation	isolation	NOUN
cord-104158-l7s2utqb	189	6	also	also	ADV
cord-104158-l7s2utqb	189	7	play	play	VERB
cord-104158-l7s2utqb	189	8	a	a	DET
cord-104158-l7s2utqb	189	9	critical	critical	ADJ
cord-104158-l7s2utqb	189	10	role	role	NOUN
cord-104158-l7s2utqb	189	11	in	in	ADP
cord-104158-l7s2utqb	189	12	regulating	regulate	VERB
cord-104158-l7s2utqb	189	13	the	the	DET
cord-104158-l7s2utqb	189	14	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	189	15	.	.	PUNCT
cord-104158-l7s2utqb	190	1	in	in	ADP
cord-104158-l7s2utqb	190	2	terms	term	NOUN
cord-104158-l7s2utqb	190	3	of	of	ADP
cord-104158-l7s2utqb	190	4	sir	sir	NOUN
cord-104158-l7s2utqb	190	5	and	and	CCONJ
cord-104158-l7s2utqb	190	6	seir	seir	NOUN
cord-104158-l7s2utqb	190	7	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	190	8	,	,	PUNCT
cord-104158-l7s2utqb	190	9	the	the	DET
cord-104158-l7s2utqb	190	10	net	net	ADJ
cord-104158-l7s2utqb	190	11	effect	effect	NOUN
cord-104158-l7s2utqb	190	12	of	of	ADP
cord-104158-l7s2utqb	190	13	aggressive	aggressive	ADJ
cord-104158-l7s2utqb	190	14	testing	testing	NOUN
cord-104158-l7s2utqb	190	15	is	be	AUX
cord-104158-l7s2utqb	190	16	minimizing	minimize	VERB
cord-104158-l7s2utqb	190	17	the	the	DET
cord-104158-l7s2utqb	190	18	infectious	infectious	ADJ
cord-104158-l7s2utqb	190	19	period	period	NOUN
cord-104158-l7s2utqb	190	20	or	or	CCONJ
cord-104158-l7s2utqb	190	21	increasing	increase	VERB
cord-104158-l7s2utqb	190	22	γ	γ	NOUN
cord-104158-l7s2utqb	190	23	[	[	PUNCT
cord-104158-l7s2utqb	190	24	9	9	NUM
cord-104158-l7s2utqb	190	25	,	,	PUNCT
cord-104158-l7s2utqb	190	26	30	30	NUM
cord-104158-l7s2utqb	190	27	]	]	PUNCT
cord-104158-l7s2utqb	190	28	.	.	PUNCT
cord-104158-l7s2utqb	191	1	this	this	PRON
cord-104158-l7s2utqb	191	2	is	be	AUX
cord-104158-l7s2utqb	191	3	analogous	analogous	ADJ
cord-104158-l7s2utqb	191	4	to	to	ADP
cord-104158-l7s2utqb	191	5	the	the	DET
cord-104158-l7s2utqb	191	6	culling	culling	NOUN
cord-104158-l7s2utqb	191	7	of	of	ADP
cord-104158-l7s2utqb	191	8	predators	predator	NOUN
cord-104158-l7s2utqb	191	9	(	(	PUNCT
cord-104158-l7s2utqb	191	10	infectious	infectious	ADJ
cord-104158-l7s2utqb	191	11	population	population	NOUN
cord-104158-l7s2utqb	191	12	)	)	PUNCT
cord-104158-l7s2utqb	191	13	by	by	ADP
cord-104158-l7s2utqb	191	14	increasing	increase	VERB
cord-104158-l7s2utqb	191	15	the	the	DET
cord-104158-l7s2utqb	191	16	death	death	NOUN
cord-104158-l7s2utqb	191	17	rate	rate	NOUN
cord-104158-l7s2utqb	191	18	for	for	ADP
cord-104158-l7s2utqb	191	19	which	which	PRON
cord-104158-l7s2utqb	191	20	there	there	PRON
cord-104158-l7s2utqb	191	21	already	already	ADV
cord-104158-l7s2utqb	191	22	exist	exist	VERB
cord-104158-l7s2utqb	191	23	multiple	multiple	ADJ
cord-104158-l7s2utqb	191	24	control	control	NOUN
cord-104158-l7s2utqb	191	25	mechanisms	mechanism	NOUN
cord-104158-l7s2utqb	191	26	[	[	X
cord-104158-l7s2utqb	191	27	34	34	NUM
cord-104158-l7s2utqb	191	28	]	]	PUNCT
cord-104158-l7s2utqb	191	29	.	.	PUNCT
cord-104158-l7s2utqb	192	1	in	in	ADP
cord-104158-l7s2utqb	192	2	particular	particular	ADJ
cord-104158-l7s2utqb	192	3	,	,	PUNCT
cord-104158-l7s2utqb	192	4	choosing	choose	VERB
cord-104158-l7s2utqb	192	5	v	v	NOUN
cord-104158-l7s2utqb	192	6	(	(	PUNCT
cord-104158-l7s2utqb	192	7	z	z	NOUN
cord-104158-l7s2utqb	192	8	)	)	PUNCT
cord-104158-l7s2utqb	192	9	=	=	NOUN
cord-104158-l7s2utqb	192	10	l(w(j	l(w(j	PROPN
cord-104158-l7s2utqb	192	11	,	,	PUNCT
cord-104158-l7s2utqb	192	12	i	i	NOUN
cord-104158-l7s2utqb	192	13	)	)	PUNCT
cord-104158-l7s2utqb	192	14	,	,	PUNCT
cord-104158-l7s2utqb	192	15	w	w	PROPN
cord-104158-l7s2utqb	192	16	*	*	PUNCT
cord-104158-l7s2utqb	192	17	)	)	PUNCT
cord-104158-l7s2utqb	193	1	as	as	ADP
cord-104158-l7s2utqb	193	2	the	the	DET
cord-104158-l7s2utqb	193	3	control	control	NOUN
cord-104158-l7s2utqb	193	4	-	-	PUNCT
cord-104158-l7s2utqb	193	5	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	193	6	function	function	NOUN
cord-104158-l7s2utqb	193	7	of	of	ADP
cord-104158-l7s2utqb	193	8	interest	interest	NOUN
cord-104158-l7s2utqb	193	9	,	,	PUNCT
cord-104158-l7s2utqb	193	10	we	we	PRON
cord-104158-l7s2utqb	193	11	obtain	obtain	VERB
cord-104158-l7s2utqb	193	12	the	the	DET
cord-104158-l7s2utqb	193	13	control	control	NOUN
cord-104158-l7s2utqb	193	14	,	,	PUNCT
cord-104158-l7s2utqb	193	15	γ(t	γ(t	NOUN
cord-104158-l7s2utqb	193	16	)	)	PUNCT
cord-104158-l7s2utqb	193	17	=	=	PRON
cord-104158-l7s2utqb	193	18	γ	γ	NOUN
cord-104158-l7s2utqb	193	19	0	0	NUM
cord-104158-l7s2utqb	193	20	+	+	CCONJ
cord-104158-l7s2utqb	193	21	ζ(t	ζ(t	NOUN
cord-104158-l7s2utqb	193	22	)	)	PUNCT
cord-104158-l7s2utqb	193	23	dl	dl	PROPN
cord-104158-l7s2utqb	193	24	dw	dw	PROPN
cord-104158-l7s2utqb	194	1	(	(	PUNCT
cord-104158-l7s2utqb	194	2	i	i	PRON
cord-104158-l7s2utqb	194	3	i	i	NOUN
cord-104158-l7s2utqb	194	4	*	*	PUNCT
cord-104158-l7s2utqb	194	5	−	−	NUM
cord-104158-l7s2utqb	194	6	1	1	NUM
cord-104158-l7s2utqb	194	7	)	)	PUNCT
cord-104158-l7s2utqb	194	8	,	,	PUNCT
cord-104158-l7s2utqb	194	9	with	with	ADP
cord-104158-l7s2utqb	194	10	ζ(t	ζ(t	NOUN
cord-104158-l7s2utqb	194	11	)	)	PUNCT
cord-104158-l7s2utqb	194	12	>	>	PUNCT
cord-104158-l7s2utqb	194	13	0	0	NUM
cord-104158-l7s2utqb	194	14	.	.	PUNCT
cord-104158-l7s2utqb	195	1	online	online	NOUN
cord-104158-l7s2utqb	195	2	learning	learning	NOUN
cord-104158-l7s2utqb	195	3	.	.	PUNCT
cord-104158-l7s2utqb	196	1	the	the	DET
cord-104158-l7s2utqb	196	2	restriction	restriction	NOUN
cord-104158-l7s2utqb	196	3	control	control	NOUN
cord-104158-l7s2utqb	196	4	problem	problem	NOUN
cord-104158-l7s2utqb	196	5	can	can	AUX
cord-104158-l7s2utqb	196	6	also	also	ADV
cord-104158-l7s2utqb	196	7	be	be	AUX
cord-104158-l7s2utqb	196	8	posed	pose	VERB
cord-104158-l7s2utqb	196	9	as	as	ADP
cord-104158-l7s2utqb	196	10	a	a	DET
cord-104158-l7s2utqb	196	11	non	non	ADJ
cord-104158-l7s2utqb	196	12	-	-	ADJ
cord-104158-l7s2utqb	196	13	linear	linear	ADJ
cord-104158-l7s2utqb	196	14	contextual	contextual	ADJ
cord-104158-l7s2utqb	196	15	bandit	bandit	NOUN
cord-104158-l7s2utqb	196	16	[	[	PUNCT
cord-104158-l7s2utqb	196	17	12	12	NUM
cord-104158-l7s2utqb	196	18	]	]	PUNCT
cord-104158-l7s2utqb	196	19	formulation	formulation	NOUN
cord-104158-l7s2utqb	196	20	with	with	ADP
cord-104158-l7s2utqb	196	21	the	the	DET
cord-104158-l7s2utqb	196	22	cumulative	cumulative	ADJ
cord-104158-l7s2utqb	196	23	lv	lv	PROPN
cord-104158-l7s2utqb	196	24	energy	energy	PROPN
cord-104158-l7s2utqb	196	25	w(j	w(j	PROPN
cord-104158-l7s2utqb	196	26	,	,	PUNCT
cord-104158-l7s2utqb	196	27	i	i	PROPN
cord-104158-l7s2utqb	196	28	)	)	PUNCT
cord-104158-l7s2utqb	196	29	of	of	ADP
cord-104158-l7s2utqb	196	30	the	the	DET
cord-104158-l7s2utqb	196	31	cosir	cosir	PROPN
cord-104158-l7s2utqb	196	32	model	model	NOUN
cord-104158-l7s2utqb	196	33	over	over	ADP
cord-104158-l7s2utqb	196	34	a	a	DET
cord-104158-l7s2utqb	196	35	future	future	ADJ
cord-104158-l7s2utqb	196	36	horizon	horizon	NOUN
cord-104158-l7s2utqb	196	37	interpreted	interpret	VERB
cord-104158-l7s2utqb	196	38	as	as	ADP
cord-104158-l7s2utqb	196	39	the	the	DET
cord-104158-l7s2utqb	196	40	(	(	PUNCT
cord-104158-l7s2utqb	196	41	negative	negative	ADJ
cord-104158-l7s2utqb	196	42	)	)	PUNCT
cord-104158-l7s2utqb	196	43	"	"	PUNCT
cord-104158-l7s2utqb	196	44	reward	reward	NOUN
cord-104158-l7s2utqb	196	45	"	"	PUNCT
cord-104158-l7s2utqb	196	46	.	.	PUNCT
cord-104158-l7s2utqb	197	1	here	here	ADV
cord-104158-l7s2utqb	197	2	,	,	PUNCT
cord-104158-l7s2utqb	197	3	the	the	DET
cord-104158-l7s2utqb	197	4	discrete	discrete	ADJ
cord-104158-l7s2utqb	197	5	restriction	restriction	NOUN
cord-104158-l7s2utqb	197	6	levels	level	NOUN
cord-104158-l7s2utqb	197	7	can	can	AUX
cord-104158-l7s2utqb	197	8	be	be	AUX
cord-104158-l7s2utqb	197	9	viewed	view	VERB
cord-104158-l7s2utqb	197	10	9	9	NUM
cord-104158-l7s2utqb	197	11	.	.	PUNCT
cord-104158-l7s2utqb	198	1	cc	cc	X
cord-104158-l7s2utqb	198	2	-	-	PUNCT
cord-104158-l7s2utqb	198	3	by	by	ADP
cord-104158-l7s2utqb	198	4	-	-	PUNCT
cord-104158-l7s2utqb	198	5	nc	nc	PROPN
cord-104158-l7s2utqb	198	6	-	-	PUNCT
cord-104158-l7s2utqb	198	7	nd	nd	PROPN
cord-104158-l7s2utqb	198	8	4.0	4.0	NUM
cord-104158-l7s2utqb	198	9	international	international	ADJ
cord-104158-l7s2utqb	198	10	license	license	NOUN
cord-104158-l7s2utqb	198	11	it	it	PRON
cord-104158-l7s2utqb	198	12	is	be	AUX
cord-104158-l7s2utqb	198	13	made	make	VERB
cord-104158-l7s2utqb	198	14	available	available	ADJ
cord-104158-l7s2utqb	198	15	under	under	ADP
cord-104158-l7s2utqb	198	16	a	a	PRON
cord-104158-l7s2utqb	198	17	is	be	AUX
cord-104158-l7s2utqb	198	18	the	the	DET
cord-104158-l7s2utqb	198	19	author	author	NOUN
cord-104158-l7s2utqb	198	20	/	/	SYM
cord-104158-l7s2utqb	198	21	funder	funder	NOUN
cord-104158-l7s2utqb	198	22	,	,	PUNCT
cord-104158-l7s2utqb	198	23	who	who	PRON
cord-104158-l7s2utqb	198	24	has	have	AUX
cord-104158-l7s2utqb	198	25	granted	grant	VERB
cord-104158-l7s2utqb	198	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	198	27	a	a	DET
cord-104158-l7s2utqb	198	28	license	license	NOUN
cord-104158-l7s2utqb	198	29	to	to	PART
cord-104158-l7s2utqb	198	30	display	display	VERB
cord-104158-l7s2utqb	198	31	the	the	DET
cord-104158-l7s2utqb	198	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	198	33	in	in	ADP
cord-104158-l7s2utqb	198	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	198	35	.	.	PUNCT
cord-104158-l7s2utqb	199	1	as	as	ADP
cord-104158-l7s2utqb	199	2	the	the	DET
cord-104158-l7s2utqb	199	3	multiple	multiple	ADJ
cord-104158-l7s2utqb	199	4	arms	arm	NOUN
cord-104158-l7s2utqb	199	5	of	of	ADP
cord-104158-l7s2utqb	199	6	a	a	DET
cord-104158-l7s2utqb	199	7	bandit	bandit	NOUN
cord-104158-l7s2utqb	199	8	,	,	PUNCT
cord-104158-l7s2utqb	199	9	the	the	DET
cord-104158-l7s2utqb	199	10	context	context	NOUN
cord-104158-l7s2utqb	199	11	includes	include	VERB
cord-104158-l7s2utqb	199	12	the	the	DET
cord-104158-l7s2utqb	199	13	state	state	NOUN
cord-104158-l7s2utqb	199	14	of	of	ADP
cord-104158-l7s2utqb	199	15	the	the	DET
cord-104158-l7s2utqb	199	16	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	199	17	,	,	PUNCT
cord-104158-l7s2utqb	199	18	and	and	CCONJ
cord-104158-l7s2utqb	199	19	the	the	DET
cord-104158-l7s2utqb	199	20	"	"	PUNCT
cord-104158-l7s2utqb	199	21	reward	reward	NOUN
cord-104158-l7s2utqb	199	22	"	"	PUNCT
cord-104158-l7s2utqb	199	23	distribution	distribution	NOUN
cord-104158-l7s2utqb	199	24	is	be	AUX
cord-104158-l7s2utqb	199	25	computed	compute	VERB
cord-104158-l7s2utqb	199	26	using	use	VERB
cord-104158-l7s2utqb	199	27	the	the	DET
cord-104158-l7s2utqb	199	28	context	context	NOUN
cord-104158-l7s2utqb	199	29	and	and	CCONJ
cord-104158-l7s2utqb	199	30	the	the	DET
cord-104158-l7s2utqb	199	31	observed	observe	VERB
cord-104158-l7s2utqb	199	32	transmission	transmission	NOUN
cord-104158-l7s2utqb	199	33	rate	rate	NOUN
cord-104158-l7s2utqb	199	34	for	for	ADP
cord-104158-l7s2utqb	199	35	the	the	DET
cord-104158-l7s2utqb	199	36	arms	arm	NOUN
cord-104158-l7s2utqb	199	37	.	.	PUNCT
cord-104158-l7s2utqb	200	1	our	our	PRON
cord-104158-l7s2utqb	200	2	current	current	ADJ
cord-104158-l7s2utqb	200	3	work	work	NOUN
cord-104158-l7s2utqb	200	4	proposes	propose	VERB
cord-104158-l7s2utqb	200	5	an	an	DET
cord-104158-l7s2utqb	200	6	analytical	analytical	ADJ
cord-104158-l7s2utqb	200	7	framework	framework	NOUN
cord-104158-l7s2utqb	200	8	for	for	ADP
cord-104158-l7s2utqb	200	9	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	200	10	control	control	NOUN
cord-104158-l7s2utqb	200	11	with	with	ADP
cord-104158-l7s2utqb	200	12	the	the	DET
cord-104158-l7s2utqb	200	13	intent	intent	NOUN
cord-104158-l7s2utqb	200	14	of	of	ADP
cord-104158-l7s2utqb	200	15	supporting	support	VERB
cord-104158-l7s2utqb	200	16	an	an	DET
cord-104158-l7s2utqb	200	17	active	active	ADJ
cord-104158-l7s2utqb	200	18	goal	goal	NOUN
cord-104158-l7s2utqb	200	19	-	-	PUNCT
cord-104158-l7s2utqb	200	20	oriented	orient	VERB
cord-104158-l7s2utqb	200	21	public	public	ADJ
cord-104158-l7s2utqb	200	22	health	health	NOUN
cord-104158-l7s2utqb	200	23	response	response	NOUN
cord-104158-l7s2utqb	200	24	.	.	PUNCT
cord-104158-l7s2utqb	201	1	the	the	DET
cord-104158-l7s2utqb	201	2	proposed	propose	VERB
cord-104158-l7s2utqb	201	3	framework	framework	NOUN
cord-104158-l7s2utqb	201	4	relies	rely	VERB
cord-104158-l7s2utqb	201	5	on	on	ADP
cord-104158-l7s2utqb	201	6	a	a	DET
cord-104158-l7s2utqb	201	7	mapping	mapping	NOUN
cord-104158-l7s2utqb	201	8	between	between	ADP
cord-104158-l7s2utqb	201	9	sir	sir	PROPN
cord-104158-l7s2utqb	201	10	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	201	11	to	to	ADP
cord-104158-l7s2utqb	201	12	lotka	lotka	PROPN
cord-104158-l7s2utqb	201	13	-	-	PUNCT
cord-104158-l7s2utqb	201	14	volterra	volterra	PROPN
cord-104158-l7s2utqb	201	15	systems	system	NOUN
cord-104158-l7s2utqb	201	16	under	under	ADP
cord-104158-l7s2utqb	201	17	specific	specific	ADJ
cord-104158-l7s2utqb	201	18	conditions	condition	NOUN
cord-104158-l7s2utqb	201	19	on	on	ADP
cord-104158-l7s2utqb	201	20	the	the	DET
cord-104158-l7s2utqb	201	21	transmission	transmission	NOUN
cord-104158-l7s2utqb	201	22	rate	rate	NOUN
cord-104158-l7s2utqb	201	23	.	.	PUNCT
cord-104158-l7s2utqb	202	1	given	give	VERB
cord-104158-l7s2utqb	202	2	the	the	DET
cord-104158-l7s2utqb	202	3	vast	vast	ADJ
cord-104158-l7s2utqb	202	4	literature	literature	NOUN
cord-104158-l7s2utqb	202	5	on	on	ADP
cord-104158-l7s2utqb	202	6	control	control	NOUN
cord-104158-l7s2utqb	202	7	of	of	ADP
cord-104158-l7s2utqb	202	8	lv	lv	PROPN
cord-104158-l7s2utqb	202	9	systems	systems	PROPN
cord-104158-l7s2utqb	202	10	,	,	PUNCT
cord-104158-l7s2utqb	202	11	this	this	DET
cord-104158-l7s2utqb	202	12	mapping	mapping	NOUN
cord-104158-l7s2utqb	202	13	can	can	AUX
cord-104158-l7s2utqb	202	14	be	be	AUX
cord-104158-l7s2utqb	202	15	leveraged	leverage	VERB
cord-104158-l7s2utqb	202	16	to	to	PART
cord-104158-l7s2utqb	202	17	design	design	VERB
cord-104158-l7s2utqb	202	18	new	new	ADJ
cord-104158-l7s2utqb	202	19	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	202	20	control	control	NOUN
cord-104158-l7s2utqb	202	21	techniques	technique	NOUN
cord-104158-l7s2utqb	202	22	as	as	ADV
cord-104158-l7s2utqb	202	23	well	well	ADV
cord-104158-l7s2utqb	202	24	as	as	ADP
cord-104158-l7s2utqb	202	25	extend	extend	VERB
cord-104158-l7s2utqb	202	26	current	current	ADJ
cord-104158-l7s2utqb	202	27	results	result	NOUN
cord-104158-l7s2utqb	202	28	to	to	PART
cord-104158-l7s2utqb	202	29	richer	richer	VERB
cord-104158-l7s2utqb	202	30	heterogeneous	heterogeneous	ADJ
cord-104158-l7s2utqb	202	31	compartmental	compartmental	NOUN
cord-104158-l7s2utqb	202	32	models	model	NOUN
cord-104158-l7s2utqb	202	33	and	and	CCONJ
cord-104158-l7s2utqb	202	34	additional	additional	ADJ
cord-104158-l7s2utqb	202	35	control	control	NOUN
cord-104158-l7s2utqb	202	36	variables	variable	NOUN
cord-104158-l7s2utqb	202	37	(	(	PUNCT
cord-104158-l7s2utqb	202	38	e.g.	e.g.	ADV
cord-104158-l7s2utqb	202	39	,	,	PUNCT
cord-104158-l7s2utqb	202	40	testing	testing	NOUN
cord-104158-l7s2utqb	202	41	levels	level	NOUN
cord-104158-l7s2utqb	202	42	)	)	PUNCT
cord-104158-l7s2utqb	202	43	.	.	PUNCT
cord-104158-l7s2utqb	203	1	effective	effective	ADJ
cord-104158-l7s2utqb	203	2	practical	practical	ADJ
cord-104158-l7s2utqb	203	3	implementation	implementation	NOUN
cord-104158-l7s2utqb	203	4	of	of	ADP
cord-104158-l7s2utqb	203	5	control	control	NOUN
cord-104158-l7s2utqb	203	6	requires	require	VERB
cord-104158-l7s2utqb	203	7	further	further	ADJ
cord-104158-l7s2utqb	203	8	exploration	exploration	NOUN
cord-104158-l7s2utqb	203	9	of	of	ADP
cord-104158-l7s2utqb	203	10	online	online	ADJ
cord-104158-l7s2utqb	203	11	and	and	CCONJ
cord-104158-l7s2utqb	203	12	reinforcement	reinforcement	NOUN
cord-104158-l7s2utqb	203	13	learning	learning	NOUN
cord-104158-l7s2utqb	203	14	variants	variant	NOUN
cord-104158-l7s2utqb	203	15	[	[	X
cord-104158-l7s2utqb	203	16	38	38	NUM
cord-104158-l7s2utqb	203	17	]	]	PUNCT
cord-104158-l7s2utqb	203	18	,	,	PUNCT
cord-104158-l7s2utqb	203	19	addressing	address	VERB
cord-104158-l7s2utqb	203	20	the	the	DET
cord-104158-l7s2utqb	203	21	limitations	limitation	NOUN
cord-104158-l7s2utqb	203	22	of	of	ADP
cord-104158-l7s2utqb	203	23	sir	sir	PROPN
cord-104158-l7s2utqb	203	24	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	203	25	,	,	PUNCT
cord-104158-l7s2utqb	203	26	and	and	CCONJ
cord-104158-l7s2utqb	203	27	incorporation	incorporation	NOUN
cord-104158-l7s2utqb	203	28	of	of	ADP
cord-104158-l7s2utqb	203	29	additional	additional	ADJ
cord-104158-l7s2utqb	203	30	signals	signal	NOUN
cord-104158-l7s2utqb	203	31	such	such	ADJ
cord-104158-l7s2utqb	203	32	as	as	ADP
cord-104158-l7s2utqb	203	33	mobility	mobility	NOUN
cord-104158-l7s2utqb	203	34	[	[	PUNCT
cord-104158-l7s2utqb	203	35	3	3	NUM
cord-104158-l7s2utqb	203	36	]	]	PUNCT
cord-104158-l7s2utqb	203	37	.	.	PUNCT
cord-104158-l7s2utqb	204	1	this	this	DET
cord-104158-l7s2utqb	204	2	effort	effort	NOUN
cord-104158-l7s2utqb	204	3	also	also	ADV
cord-104158-l7s2utqb	204	4	points	point	VERB
cord-104158-l7s2utqb	204	5	to	to	ADP
cord-104158-l7s2utqb	204	6	the	the	DET
cord-104158-l7s2utqb	204	7	feasibility	feasibility	NOUN
cord-104158-l7s2utqb	204	8	of	of	ADP
cord-104158-l7s2utqb	204	9	exploring	explore	VERB
cord-104158-l7s2utqb	204	10	control	control	NOUN
cord-104158-l7s2utqb	204	11	strategies	strategy	NOUN
cord-104158-l7s2utqb	204	12	for	for	ADP
cord-104158-l7s2utqb	204	13	other	other	ADJ
cord-104158-l7s2utqb	204	14	macro	macro	ADJ
cord-104158-l7s2utqb	204	15	social	social	ADJ
cord-104158-l7s2utqb	204	16	and	and	CCONJ
cord-104158-l7s2utqb	204	17	physical	physical	ADJ
cord-104158-l7s2utqb	204	18	systems	system	NOUN
cord-104158-l7s2utqb	204	19	,	,	PUNCT
cord-104158-l7s2utqb	204	20	e.g.	e.g.	ADV
cord-104158-l7s2utqb	204	21	,	,	PUNCT
cord-104158-l7s2utqb	204	22	good	good	ADJ
cord-104158-l7s2utqb	204	23	and	and	CCONJ
cord-104158-l7s2utqb	204	24	bad	bad	ADJ
cord-104158-l7s2utqb	204	25	actor	actor	NOUN
cord-104158-l7s2utqb	204	26	populations	population	NOUN
cord-104158-l7s2utqb	204	27	on	on	ADP
cord-104158-l7s2utqb	204	28	social	social	ADJ
cord-104158-l7s2utqb	204	29	media	medium	NOUN
cord-104158-l7s2utqb	204	30	.	.	PUNCT
cord-104158-l7s2utqb	204	31	.	.	PUNCT
cord-104158-l7s2utqb	205	1	cc	cc	X
cord-104158-l7s2utqb	205	2	-	-	PUNCT
cord-104158-l7s2utqb	205	3	by	by	ADP
cord-104158-l7s2utqb	205	4	-	-	PUNCT
cord-104158-l7s2utqb	205	5	nc	nc	PROPN
cord-104158-l7s2utqb	205	6	-	-	PUNCT
cord-104158-l7s2utqb	205	7	nd	nd	PROPN
cord-104158-l7s2utqb	205	8	4.0	4.0	NUM
cord-104158-l7s2utqb	205	9	international	international	ADJ
cord-104158-l7s2utqb	205	10	license	license	NOUN
cord-104158-l7s2utqb	205	11	it	it	PRON
cord-104158-l7s2utqb	205	12	is	be	AUX
cord-104158-l7s2utqb	205	13	made	make	VERB
cord-104158-l7s2utqb	205	14	available	available	ADJ
cord-104158-l7s2utqb	205	15	under	under	ADP
cord-104158-l7s2utqb	205	16	a	a	PRON
cord-104158-l7s2utqb	205	17	is	be	AUX
cord-104158-l7s2utqb	205	18	the	the	DET
cord-104158-l7s2utqb	205	19	author	author	NOUN
cord-104158-l7s2utqb	205	20	/	/	SYM
cord-104158-l7s2utqb	205	21	funder	funder	NOUN
cord-104158-l7s2utqb	205	22	,	,	PUNCT
cord-104158-l7s2utqb	205	23	who	who	PRON
cord-104158-l7s2utqb	205	24	has	have	AUX
cord-104158-l7s2utqb	205	25	granted	grant	VERB
cord-104158-l7s2utqb	205	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	205	27	a	a	DET
cord-104158-l7s2utqb	205	28	license	license	NOUN
cord-104158-l7s2utqb	205	29	to	to	PART
cord-104158-l7s2utqb	205	30	display	display	VERB
cord-104158-l7s2utqb	205	31	the	the	DET
cord-104158-l7s2utqb	205	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	205	33	in	in	ADP
cord-104158-l7s2utqb	205	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	205	35	.	.	PUNCT
cord-104158-l7s2utqb	206	1	(	(	PUNCT
cord-104158-l7s2utqb	206	2	which	which	PRON
cord-104158-l7s2utqb	206	3	was	be	AUX
cord-104158-l7s2utqb	206	4	not	not	PART
cord-104158-l7s2utqb	206	5	certified	certify	VERB
cord-104158-l7s2utqb	206	6	by	by	ADP
cord-104158-l7s2utqb	206	7	peer	peer	NOUN
cord-104158-l7s2utqb	206	8	review	review	NOUN
cord-104158-l7s2utqb	206	9	)	)	PUNCT
cord-104158-l7s2utqb	206	10	preprint	preprint	VERB
cord-104158-l7s2utqb	206	11	the	the	DET
cord-104158-l7s2utqb	206	12	copyright	copyright	NOUN
cord-104158-l7s2utqb	206	13	holder	holder	NOUN
cord-104158-l7s2utqb	206	14	for	for	ADP
cord-104158-l7s2utqb	206	15	this	this	PRON
cord-104158-l7s2utqb	206	16	this	this	DET
cord-104158-l7s2utqb	206	17	version	version	NOUN
cord-104158-l7s2utqb	206	18	posted	post	VERB
cord-104158-l7s2utqb	206	19	november	november	PROPN
cord-104158-l7s2utqb	206	20	13	13	NUM
cord-104158-l7s2utqb	206	21	,	,	PUNCT
cord-104158-l7s2utqb	206	22	2020	2020	NUM
cord-104158-l7s2utqb	206	23	.	.	PUNCT
cord-104158-l7s2utqb	207	1	;	;	PUNCT
cord-104158-l7s2utqb	207	2	https://doi.org/10.1101/2020.11.10.20211995	https://doi.org/10.1101/2020.11.10.20211995	PROPN
cord-104158-l7s2utqb	207	3	doi	doi	PROPN
cord-104158-l7s2utqb	207	4	:	:	PUNCT
cord-104158-l7s2utqb	207	5	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	207	6	preprint	preprint	NOUN
cord-104158-l7s2utqb	207	7	denoting	denote	VERB
cord-104158-l7s2utqb	207	8	w	w	PROPN
cord-104158-l7s2utqb	207	9	b	b	X
cord-104158-l7s2utqb	207	10	=	=	PROPN
cord-104158-l7s2utqb	207	11	(	(	PUNCT
cord-104158-l7s2utqb	207	12	r	r	NOUN
cord-104158-l7s2utqb	207	13	+	+	CCONJ
cord-104158-l7s2utqb	207	14	γ)d	γ)d	ADJ
cord-104158-l7s2utqb	208	1	max	max	PROPN
cord-104158-l7s2utqb	208	2	,	,	PUNCT
cord-104158-l7s2utqb	208	3	from	from	ADP
cord-104158-l7s2utqb	208	4	theorem	theorem	PROPN
cord-104158-l7s2utqb	208	5	2(a	2(a	NUM
cord-104158-l7s2utqb	208	6	)	)	PUNCT
cord-104158-l7s2utqb	208	7	,	,	PUNCT
cord-104158-l7s2utqb	208	8	we	we	PRON
cord-104158-l7s2utqb	208	9	note	note	VERB
cord-104158-l7s2utqb	208	10	that	that	SCONJ
cord-104158-l7s2utqb	208	11	w(j(t	w(j(t	PROPN
cord-104158-l7s2utqb	208	12	)	)	PUNCT
cord-104158-l7s2utqb	208	13	,	,	PUNCT
cord-104158-l7s2utqb	208	14	i(t	i(t	PROPN
cord-104158-l7s2utqb	208	15	)	)	PUNCT
cord-104158-l7s2utqb	208	16	)	)	PUNCT
cord-104158-l7s2utqb	208	17	=	=	NOUN
cord-104158-l7s2utqb	208	18	w(j	w(j	PROPN
cord-104158-l7s2utqb	208	19	0	0	NUM
cord-104158-l7s2utqb	208	20	,	,	PUNCT
cord-104158-l7s2utqb	208	21	given	give	VERB
cord-104158-l7s2utqb	208	22	the	the	DET
cord-104158-l7s2utqb	208	23	nature	nature	NOUN
cord-104158-l7s2utqb	208	24	of	of	ADP
cord-104158-l7s2utqb	208	25	f	f	PROPN
cord-104158-l7s2utqb	208	26	(	(	PUNCT
cord-104158-l7s2utqb	208	27	s	s	PROPN
cord-104158-l7s2utqb	208	28	)	)	PUNCT
cord-104158-l7s2utqb	208	29	,	,	PUNCT
cord-104158-l7s2utqb	208	30	f	f	PROPN
cord-104158-l7s2utqb	208	31	(	(	PUNCT
cord-104158-l7s2utqb	208	32	s	s	PROPN
cord-104158-l7s2utqb	208	33	)	)	PUNCT
cord-104158-l7s2utqb	208	34	<	<	X
cord-104158-l7s2utqb	209	1	c	c	PUNCT
cord-104158-l7s2utqb	209	2	⇒	⇒	PROPN
cord-104158-l7s2utqb	209	3	s	s	PROPN
cord-104158-l7s2utqb	210	1	min	min	X
cord-104158-l7s2utqb	210	2	<	<	X
cord-104158-l7s2utqb	210	3	s	s	X
cord-104158-l7s2utqb	210	4	<	<	X
cord-104158-l7s2utqb	210	5	s	s	PROPN
cord-104158-l7s2utqb	210	6	max	max	PROPN
cord-104158-l7s2utqb	210	7	where	where	SCONJ
cord-104158-l7s2utqb	210	8	(	(	PUNCT
cord-104158-l7s2utqb	210	9	s	s	PROPN
cord-104158-l7s2utqb	210	10	min	min	PROPN
cord-104158-l7s2utqb	210	11	,	,	PUNCT
cord-104158-l7s2utqb	210	12	s	s	PROPN
cord-104158-l7s2utqb	210	13	max	max	PROPN
cord-104158-l7s2utqb	210	14	)	)	PUNCT
cord-104158-l7s2utqb	210	15	are	be	AUX
cord-104158-l7s2utqb	210	16	the	the	DET
cord-104158-l7s2utqb	210	17	finitevalued	finitevalued	ADJ
cord-104158-l7s2utqb	210	18	roots	root	NOUN
cord-104158-l7s2utqb	210	19	of	of	ADP
cord-104158-l7s2utqb	210	20	f	f	PROPN
cord-104158-l7s2utqb	210	21	(	(	PUNCT
cord-104158-l7s2utqb	210	22	s	s	PROPN
cord-104158-l7s2utqb	210	23	)	)	PUNCT
cord-104158-l7s2utqb	210	24	=	=	SYM
cord-104158-l7s2utqb	210	25	c.	c.	PROPN
cord-104158-l7s2utqb	210	26	hence	hence	ADV
cord-104158-l7s2utqb	210	27	x(t	x(t	PROPN
cord-104158-l7s2utqb	210	28	)	)	PUNCT
cord-104158-l7s2utqb	210	29	and	and	CCONJ
cord-104158-l7s2utqb	210	30	y(t	y(t	PROPN
cord-104158-l7s2utqb	210	31	)	)	PUNCT
cord-104158-l7s2utqb	210	32	are	be	AUX
cord-104158-l7s2utqb	210	33	both	both	PRON
cord-104158-l7s2utqb	210	34	bounded	bound	VERB
cord-104158-l7s2utqb	210	35	on	on	ADP
cord-104158-l7s2utqb	210	36	either	either	DET
cord-104158-l7s2utqb	210	37	side	side	NOUN
cord-104158-l7s2utqb	210	38	.	.	PUNCT
cord-104158-l7s2utqb	211	1	consequently	consequently	ADV
cord-104158-l7s2utqb	211	2	,	,	PUNCT
cord-104158-l7s2utqb	211	3	(	(	PUNCT
cord-104158-l7s2utqb	211	4	x(t	x(t	PROPN
cord-104158-l7s2utqb	211	5	)	)	PUNCT
cord-104158-l7s2utqb	211	6	−	−	PROPN
cord-104158-l7s2utqb	211	7	1	1	NUM
cord-104158-l7s2utqb	211	8	,	,	PUNCT
cord-104158-l7s2utqb	211	9	y(t	y(t	PROPN
cord-104158-l7s2utqb	211	10	)	)	PUNCT
cord-104158-l7s2utqb	212	1	−	−	PROPN
cord-104158-l7s2utqb	212	2	1	1	NUM
cord-104158-l7s2utqb	212	3	)	)	PUNCT
cord-104158-l7s2utqb	212	4	is	be	AUX
cord-104158-l7s2utqb	212	5	confined	confine	VERB
cord-104158-l7s2utqb	212	6	to	to	ADP
cord-104158-l7s2utqb	212	7	a	a	DET
cord-104158-l7s2utqb	212	8	bounded	bound	VERB
cord-104158-l7s2utqb	212	9	rectangle	rectangle	NOUN
cord-104158-l7s2utqb	212	10	and	and	CCONJ
cord-104158-l7s2utqb	212	11	thus	thus	ADV
cord-104158-l7s2utqb	212	12	,	,	PUNCT
cord-104158-l7s2utqb	212	13	where	where	SCONJ
cord-104158-l7s2utqb	212	14	can	can	AUX
cord-104158-l7s2utqb	212	15	be	be	AUX
cord-104158-l7s2utqb	212	16	directly	directly	ADV
cord-104158-l7s2utqb	212	17	expressed	express	VERB
cord-104158-l7s2utqb	212	18	in	in	ADP
cord-104158-l7s2utqb	212	19	terms	term	NOUN
cord-104158-l7s2utqb	212	20	of	of	ADP
cord-104158-l7s2utqb	212	21	δ	δ	NOUN
cord-104158-l7s2utqb	212	22	and	and	CCONJ
cord-104158-l7s2utqb	212	23	vice	vice	ADV
cord-104158-l7s2utqb	212	24	versa	versa	ADV
cord-104158-l7s2utqb	212	25	.	.	PUNCT
cord-104158-l7s2utqb	213	1	hence	hence	ADV
cord-104158-l7s2utqb	213	2	,	,	PUNCT
cord-104158-l7s2utqb	213	3	from	from	ADP
cord-104158-l7s2utqb	213	4	definition	definition	NOUN
cord-104158-l7s2utqb	213	5	1	1	NUM
cord-104158-l7s2utqb	213	6	,	,	PUNCT
cord-104158-l7s2utqb	213	7	z	z	X
cord-104158-l7s2utqb	213	8	*	*	PUNCT
cord-104158-l7s2utqb	213	9	=	=	NOUN
cord-104158-l7s2utqb	213	10	(	(	PUNCT
cord-104158-l7s2utqb	213	11	1	1	NUM
cord-104158-l7s2utqb	213	12	,	,	PUNCT
cord-104158-l7s2utqb	213	13	1	1	NUM
cord-104158-l7s2utqb	213	14	)	)	PUNCT
cord-104158-l7s2utqb	213	15	(	(	PUNCT
cord-104158-l7s2utqb	213	16	or	or	CCONJ
cord-104158-l7s2utqb	213	17	equivalently	equivalently	ADV
cord-104158-l7s2utqb	213	18	(	(	PUNCT
cord-104158-l7s2utqb	213	19	j	j	X
cord-104158-l7s2utqb	213	20	*	*	PROPN
cord-104158-l7s2utqb	213	21	,	,	PUNCT
cord-104158-l7s2utqb	213	22	i	i	PRON
cord-104158-l7s2utqb	213	23	*	*	PUNCT
cord-104158-l7s2utqb	213	24	)	)	PUNCT
cord-104158-l7s2utqb	213	25	)	)	PUNCT
cord-104158-l7s2utqb	213	26	is	be	AUX
cord-104158-l7s2utqb	213	27	a	a	DET
cord-104158-l7s2utqb	213	28	stable	stable	ADJ
cord-104158-l7s2utqb	213	29	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	213	30	.	.	PUNCT
cord-104158-l7s2utqb	214	1	when	when	SCONJ
cord-104158-l7s2utqb	214	2	initial	initial	ADJ
cord-104158-l7s2utqb	214	3	state	state	NOUN
cord-104158-l7s2utqb	214	4	(	(	PUNCT
cord-104158-l7s2utqb	214	5	j	j	PROPN
cord-104158-l7s2utqb	214	6	0	0	NUM
cord-104158-l7s2utqb	214	7	,	,	PUNCT
cord-104158-l7s2utqb	214	8	i	i	PRON
cord-104158-l7s2utqb	214	9	0	0	PUNCT
cord-104158-l7s2utqb	214	10	)	)	PUNCT
cord-104158-l7s2utqb	214	11	is	be	AUX
cord-104158-l7s2utqb	214	12	at	at	ADP
cord-104158-l7s2utqb	214	13	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	214	14	(	(	PUNCT
cord-104158-l7s2utqb	214	15	j	j	NOUN
cord-104158-l7s2utqb	214	16	*	*	PROPN
cord-104158-l7s2utqb	214	17	,	,	PUNCT
cord-104158-l7s2utqb	214	18	i	i	PRON
cord-104158-l7s2utqb	214	19	*	*	PUNCT
cord-104158-l7s2utqb	214	20	)	)	PUNCT
cord-104158-l7s2utqb	215	1	=	=	PROPN
cord-104158-l7s2utqb	215	2	(	(	PUNCT
cord-104158-l7s2utqb	215	3	γn	γn	X
cord-104158-l7s2utqb	215	4	,	,	PUNCT
cord-104158-l7s2utqb	215	5	r	r	NOUN
cord-104158-l7s2utqb	215	6	/	/	SYM
cord-104158-l7s2utqb	215	7	e	e	NOUN
cord-104158-l7s2utqb	215	8	)	)	PUNCT
cord-104158-l7s2utqb	215	9	,	,	PUNCT
cord-104158-l7s2utqb	215	10	we	we	PRON
cord-104158-l7s2utqb	215	11	have	have	VERB
cord-104158-l7s2utqb	215	12	(	(	PUNCT
cord-104158-l7s2utqb	215	13	j(t	j(t	PROPN
cord-104158-l7s2utqb	215	14	)	)	PUNCT
cord-104158-l7s2utqb	215	15	,	,	PUNCT
cord-104158-l7s2utqb	215	16	i(t	i(t	PROPN
cord-104158-l7s2utqb	215	17	)	)	PUNCT
cord-104158-l7s2utqb	215	18	)	)	PUNCT
cord-104158-l7s2utqb	216	1	=	=	PROPN
cord-104158-l7s2utqb	216	2	(	(	PUNCT
cord-104158-l7s2utqb	216	3	γn	γn	X
cord-104158-l7s2utqb	216	4	,	,	PUNCT
cord-104158-l7s2utqb	216	5	r	r	NOUN
cord-104158-l7s2utqb	216	6	/	/	SYM
cord-104158-l7s2utqb	216	7	e	e	NOUN
cord-104158-l7s2utqb	216	8	)	)	PUNCT
cord-104158-l7s2utqb	216	9	,	,	PUNCT
cord-104158-l7s2utqb	216	10	∀t	∀t	NUM
cord-104158-l7s2utqb	216	11	.	.	PUNCT
cord-104158-l7s2utqb	217	1	hence	hence	ADV
cord-104158-l7s2utqb	217	2	,	,	PUNCT
cord-104158-l7s2utqb	217	3	ṡ	ṡ	ADV
cord-104158-l7s2utqb	217	4	similarly	similarly	ADV
cord-104158-l7s2utqb	217	5	,	,	PUNCT
cord-104158-l7s2utqb	217	6	ṙ	ṙ	X
cord-104158-l7s2utqb	217	7	=	=	X
cord-104158-l7s2utqb	217	8	γi	γi	X
cord-104158-l7s2utqb	217	9	*	*	PUNCT
cord-104158-l7s2utqb	217	10	⇒	⇒	NOUN
cord-104158-l7s2utqb	217	11	r(t	r(t	NOUN
cord-104158-l7s2utqb	217	12	)	)	PUNCT
cord-104158-l7s2utqb	218	1	=	=	NOUN
cord-104158-l7s2utqb	218	2	r	r	NOUN
cord-104158-l7s2utqb	218	3	0	0	NUM
cord-104158-l7s2utqb	219	1	+	+	NOUN
cord-104158-l7s2utqb	219	2	γi	γi	NOUN
cord-104158-l7s2utqb	219	3	*	*	PUNCT
cord-104158-l7s2utqb	219	4	t	t	NOUN
cord-104158-l7s2utqb	219	5	,	,	PUNCT
cord-104158-l7s2utqb	219	6	let	let	VERB
cord-104158-l7s2utqb	219	7	z	z	NOUN
cord-104158-l7s2utqb	219	8	=	=	SYM
cord-104158-l7s2utqb	219	9	log(x	log(x	X
cord-104158-l7s2utqb	219	10	)	)	PUNCT
cord-104158-l7s2utqb	219	11	.	.	PUNCT
cord-104158-l7s2utqb	220	1	then	then	ADV
cord-104158-l7s2utqb	220	2	,	,	PUNCT
cord-104158-l7s2utqb	220	3	ẋ	ẋ	PROPN
cord-104158-l7s2utqb	220	4	=	=	X
cord-104158-l7s2utqb	220	5	e	e	X
cord-104158-l7s2utqb	220	6	zż	zż	PROPN
cord-104158-l7s2utqb	220	7	andẍ	andẍ	PROPN
cord-104158-l7s2utqb	220	8	=	=	VERB
cord-104158-l7s2utqb	220	9	e	e	X
cord-104158-l7s2utqb	220	10	z	z	PROPN
cord-104158-l7s2utqb	221	1	(	(	PUNCT
cord-104158-l7s2utqb	221	2	z	z	NOUN
cord-104158-l7s2utqb	221	3	+	+	ADV
cord-104158-l7s2utqb	221	4	ż	ż	NOUN
cord-104158-l7s2utqb	221	5	2	2	NUM
cord-104158-l7s2utqb	221	6	)	)	PUNCT
cord-104158-l7s2utqb	221	7	.	.	PUNCT
cord-104158-l7s2utqb	222	1	from	from	ADP
cord-104158-l7s2utqb	222	2	7	7	NUM
cord-104158-l7s2utqb	222	3	,	,	PUNCT
cord-104158-l7s2utqb	222	4	we	we	PRON
cord-104158-l7s2utqb	222	5	have	have	VERB
cord-104158-l7s2utqb	222	6	e	e	X
cord-104158-l7s2utqb	222	7	z	z	X
cord-104158-l7s2utqb	222	8	(	(	PUNCT
cord-104158-l7s2utqb	222	9	z	z	NOUN
cord-104158-l7s2utqb	222	10	+	+	ADV
cord-104158-l7s2utqb	222	11	ż	ż	NOUN
cord-104158-l7s2utqb	222	12	2	2	NUM
cord-104158-l7s2utqb	222	13	)	)	PUNCT
cord-104158-l7s2utqb	222	14	−	−	PROPN
cord-104158-l7s2utqb	222	15	e	e	PROPN
cord-104158-l7s2utqb	222	16	2z	2z	PROPN
cord-104158-l7s2utqb	222	17	(	(	PUNCT
cord-104158-l7s2utqb	222	18	ż	ż	NOUN
cord-104158-l7s2utqb	222	19	)	)	PUNCT
cord-104158-l7s2utqb	222	20	2	2	NUM
cord-104158-l7s2utqb	222	21	e	e	NOUN
cord-104158-l7s2utqb	222	22	z	z	X
cord-104158-l7s2utqb	222	23	−γ(e	−γ(e	X
cord-104158-l7s2utqb	223	1	z	z	X
cord-104158-l7s2utqb	223	2	−	−	PROPN
cord-104158-l7s2utqb	223	3	1)(e	1)(e	NUM
cord-104158-l7s2utqb	223	4	zż	zż	PROPN
cord-104158-l7s2utqb	223	5	−	−	PROPN
cord-104158-l7s2utqb	223	6	re	re	ADP
cord-104158-l7s2utqb	223	7	z	z	PROPN
cord-104158-l7s2utqb	223	8	)	)	PUNCT
cord-104158-l7s2utqb	224	1	=	=	SYM
cord-104158-l7s2utqb	224	2	0	0	PUNCT
cord-104158-l7s2utqb	224	3	⇒z	⇒z	PUNCT
cord-104158-l7s2utqb	225	1	−	−	NUM
cord-104158-l7s2utqb	225	2	γ(e	γ(e	ADP
cord-104158-l7s2utqb	225	3	z	z	PROPN
cord-104158-l7s2utqb	225	4	−	−	PROPN
cord-104158-l7s2utqb	225	5	1)(ż	1)(ż	NUM
cord-104158-l7s2utqb	226	1	−	−	PUNCT
cord-104158-l7s2utqb	226	2	r	r	NOUN
cord-104158-l7s2utqb	226	3	)	)	PUNCT
cord-104158-l7s2utqb	226	4	=	=	NOUN
cord-104158-l7s2utqb	226	5	0	0	X
cord-104158-l7s2utqb	226	6	.	.	PUNCT
cord-104158-l7s2utqb	227	1	choosing	choose	VERB
cord-104158-l7s2utqb	227	2	s	s	PROPN
cord-104158-l7s2utqb	227	3	=	=	NOUN
cord-104158-l7s2utqb	227	4	ż	ż	NOUN
cord-104158-l7s2utqb	227	5	⇒	⇒	NOUN
cord-104158-l7s2utqb	227	6	s	s	PROPN
cord-104158-l7s2utqb	228	1	=	=	NOUN
cord-104158-l7s2utqb	228	2	ẋ	ẋ	NOUN
cord-104158-l7s2utqb	228	3	x	x	SYM
cord-104158-l7s2utqb	228	4	=	=	NOUN
cord-104158-l7s2utqb	228	5	−r(y	−r(y	VERB
cord-104158-l7s2utqb	228	6	−	−	PROPN
cord-104158-l7s2utqb	228	7	1	1	NUM
cord-104158-l7s2utqb	228	8	)	)	PUNCT
cord-104158-l7s2utqb	228	9	.	.	PUNCT
cord-104158-l7s2utqb	229	1	let	let	VERB
cord-104158-l7s2utqb	229	2	w	w	PROPN
cord-104158-l7s2utqb	229	3	0	0	PUNCT
cord-104158-l7s2utqb	229	4	=	=	X
cord-104158-l7s2utqb	229	5	w(j	w(j	X
cord-104158-l7s2utqb	229	6	0	0	NUM
cord-104158-l7s2utqb	229	7	,	,	PUNCT
cord-104158-l7s2utqb	229	8	i	i	PRON
cord-104158-l7s2utqb	229	9	0	0	PUNCT
cord-104158-l7s2utqb	229	10	)	)	PUNCT
cord-104158-l7s2utqb	229	11	.	.	PUNCT
cord-104158-l7s2utqb	230	1	then	then	ADV
cord-104158-l7s2utqb	230	2	,	,	PUNCT
cord-104158-l7s2utqb	230	3	the	the	DET
cord-104158-l7s2utqb	230	4	trajectory	trajectory	NOUN
cord-104158-l7s2utqb	230	5	corresponds	correspond	VERB
cord-104158-l7s2utqb	230	6	to	to	ADP
cord-104158-l7s2utqb	230	7	γ(x	γ(x	NOUN
cord-104158-l7s2utqb	230	8	−	−	PROPN
cord-104158-l7s2utqb	230	9	log	log	PROPN
cord-104158-l7s2utqb	230	10	x	x	PROPN
cord-104158-l7s2utqb	230	11	−	−	NOUN
cord-104158-l7s2utqb	230	12	1	1	NUM
cord-104158-l7s2utqb	230	13	)	)	PUNCT
cord-104158-l7s2utqb	230	14	+	+	CCONJ
cord-104158-l7s2utqb	230	15	r(y	r(y	VERB
cord-104158-l7s2utqb	230	16	−	−	PROPN
cord-104158-l7s2utqb	230	17	log	log	PROPN
cord-104158-l7s2utqb	230	18	y	y	PROPN
cord-104158-l7s2utqb	230	19	−	−	PROPN
cord-104158-l7s2utqb	230	20	1	1	NUM
cord-104158-l7s2utqb	230	21	)	)	PUNCT
cord-104158-l7s2utqb	230	22	=	=	SYM
cord-104158-l7s2utqb	230	23	w	w	NOUN
cord-104158-l7s2utqb	230	24	0	0	PUNCT
cord-104158-l7s2utqb	230	25	⇒	⇒	NOUN
cord-104158-l7s2utqb	230	26	γ(e	γ(e	ADP
cord-104158-l7s2utqb	230	27	z	z	PROPN
cord-104158-l7s2utqb	230	28	−	−	PROPN
cord-104158-l7s2utqb	230	29	z	z	NOUN
cord-104158-l7s2utqb	230	30	−	−	SYM
cord-104158-l7s2utqb	230	31	1	1	NUM
cord-104158-l7s2utqb	230	32	)	)	PUNCT
cord-104158-l7s2utqb	230	33	+	+	CCONJ
cord-104158-l7s2utqb	230	34	r(y	r(y	VERB
cord-104158-l7s2utqb	230	35	−	−	PROPN
cord-104158-l7s2utqb	230	36	log	log	PROPN
cord-104158-l7s2utqb	230	37	y	y	PROPN
cord-104158-l7s2utqb	230	38	−	−	PROPN
cord-104158-l7s2utqb	230	39	1	1	NUM
cord-104158-l7s2utqb	230	40	)	)	PUNCT
cord-104158-l7s2utqb	230	41	=	=	PUNCT
cord-104158-l7s2utqb	230	42	w	w	NOUN
cord-104158-l7s2utqb	230	43	0	0	PUNCT
cord-104158-l7s2utqb	230	44	where	where	SCONJ
cord-104158-l7s2utqb	230	45	g(z	g(z	PROPN
cord-104158-l7s2utqb	230	46	)	)	PUNCT
cord-104158-l7s2utqb	230	47	=	=	NOUN
cord-104158-l7s2utqb	230	48	γ(e	γ(e	ADP
cord-104158-l7s2utqb	230	49	z	z	PROPN
cord-104158-l7s2utqb	230	50	−	−	PROPN
cord-104158-l7s2utqb	230	51	z	z	NOUN
cord-104158-l7s2utqb	230	52	−	−	SYM
cord-104158-l7s2utqb	230	53	1	1	NUM
cord-104158-l7s2utqb	230	54	)	)	PUNCT
cord-104158-l7s2utqb	230	55	−	−	PROPN
cord-104158-l7s2utqb	230	56	w	w	PROPN
cord-104158-l7s2utqb	230	57	0	0	PUNCT
cord-104158-l7s2utqb	230	58	and	and	CCONJ
cord-104158-l7s2utqb	230	59	f	f	PROPN
cord-104158-l7s2utqb	230	60	(	(	PUNCT
cord-104158-l7s2utqb	230	61	s	s	PROPN
cord-104158-l7s2utqb	230	62	)	)	PUNCT
cord-104158-l7s2utqb	230	63	=	=	SYM
cord-104158-l7s2utqb	230	64	s	s	X
cord-104158-l7s2utqb	230	65	+	+	CCONJ
cord-104158-l7s2utqb	230	66	r	r	NOUN
cord-104158-l7s2utqb	230	67	log(1	log(1	NOUN
cord-104158-l7s2utqb	230	68	−	−	SYM
cord-104158-l7s2utqb	230	69	s	s	PROPN
cord-104158-l7s2utqb	230	70	r	r	NOUN
cord-104158-l7s2utqb	230	71	)	)	PUNCT
cord-104158-l7s2utqb	230	72	.	.	PUNCT
cord-104158-l7s2utqb	231	1	let	let	VERB
cord-104158-l7s2utqb	231	2	f	f	PROPN
cord-104158-l7s2utqb	231	3	1	1	NUM
cord-104158-l7s2utqb	231	4	(	(	PUNCT
cord-104158-l7s2utqb	231	5	s	s	PROPN
cord-104158-l7s2utqb	231	6	)	)	PUNCT
cord-104158-l7s2utqb	231	7	,	,	PUNCT
cord-104158-l7s2utqb	231	8	f	f	PROPN
cord-104158-l7s2utqb	231	9	2	2	NUM
cord-104158-l7s2utqb	231	10	(	(	PUNCT
cord-104158-l7s2utqb	231	11	s	s	X
cord-104158-l7s2utqb	231	12	)	)	PUNCT
cord-104158-l7s2utqb	231	13	be	be	AUX
cord-104158-l7s2utqb	231	14	the	the	DET
cord-104158-l7s2utqb	231	15	restrictions	restriction	NOUN
cord-104158-l7s2utqb	231	16	of	of	ADP
cord-104158-l7s2utqb	231	17	f	f	PROPN
cord-104158-l7s2utqb	231	18	(	(	PUNCT
cord-104158-l7s2utqb	231	19	s	s	PROPN
cord-104158-l7s2utqb	231	20	)	)	PUNCT
cord-104158-l7s2utqb	231	21	for	for	ADP
cord-104158-l7s2utqb	231	22	the	the	DET
cord-104158-l7s2utqb	231	23	lower	low	ADJ
cord-104158-l7s2utqb	231	24	and	and	CCONJ
cord-104158-l7s2utqb	231	25	upper	upper	ADJ
cord-104158-l7s2utqb	231	26	parts	part	NOUN
cord-104158-l7s2utqb	231	27	of	of	ADP
cord-104158-l7s2utqb	231	28	the	the	DET
cord-104158-l7s2utqb	231	29	phase	phase	NOUN
cord-104158-l7s2utqb	231	30	plot	plot	NOUN
cord-104158-l7s2utqb	231	31	.	.	PUNCT
cord-104158-l7s2utqb	232	1	then	then	ADV
cord-104158-l7s2utqb	232	2	the	the	DET
cord-104158-l7s2utqb	232	3	time	time	NOUN
cord-104158-l7s2utqb	232	4	period	period	NOUN
cord-104158-l7s2utqb	232	5	for	for	ADP
cord-104158-l7s2utqb	232	6	the	the	DET
cord-104158-l7s2utqb	232	7	lower	low	ADJ
cord-104158-l7s2utqb	232	8	section	section	NOUN
cord-104158-l7s2utqb	232	9	is	be	AUX
cord-104158-l7s2utqb	232	10	given	give	VERB
cord-104158-l7s2utqb	232	11	by	by	ADP
cord-104158-l7s2utqb	232	12	dz	dz	PROPN
cord-104158-l7s2utqb	232	13	.	.	PROPN
cord-104158-l7s2utqb	232	14	.	.	PUNCT
cord-104158-l7s2utqb	233	1	cc	cc	X
cord-104158-l7s2utqb	233	2	-	-	PUNCT
cord-104158-l7s2utqb	233	3	by	by	ADP
cord-104158-l7s2utqb	233	4	-	-	PUNCT
cord-104158-l7s2utqb	233	5	nc	nc	PROPN
cord-104158-l7s2utqb	233	6	-	-	PUNCT
cord-104158-l7s2utqb	233	7	nd	nd	PROPN
cord-104158-l7s2utqb	233	8	4.0	4.0	NUM
cord-104158-l7s2utqb	233	9	international	international	ADJ
cord-104158-l7s2utqb	233	10	license	license	NOUN
cord-104158-l7s2utqb	233	11	it	it	PRON
cord-104158-l7s2utqb	233	12	is	be	AUX
cord-104158-l7s2utqb	233	13	made	make	VERB
cord-104158-l7s2utqb	233	14	available	available	ADJ
cord-104158-l7s2utqb	233	15	under	under	ADP
cord-104158-l7s2utqb	233	16	a	a	PRON
cord-104158-l7s2utqb	233	17	is	be	AUX
cord-104158-l7s2utqb	233	18	the	the	DET
cord-104158-l7s2utqb	233	19	author	author	NOUN
cord-104158-l7s2utqb	233	20	/	/	SYM
cord-104158-l7s2utqb	233	21	funder	funder	NOUN
cord-104158-l7s2utqb	233	22	,	,	PUNCT
cord-104158-l7s2utqb	233	23	who	who	PRON
cord-104158-l7s2utqb	233	24	has	have	AUX
cord-104158-l7s2utqb	233	25	granted	grant	VERB
cord-104158-l7s2utqb	233	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	233	27	a	a	DET
cord-104158-l7s2utqb	233	28	license	license	NOUN
cord-104158-l7s2utqb	233	29	to	to	PART
cord-104158-l7s2utqb	233	30	display	display	VERB
cord-104158-l7s2utqb	233	31	the	the	DET
cord-104158-l7s2utqb	233	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	233	33	in	in	ADP
cord-104158-l7s2utqb	233	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	233	35	.	.	PUNCT
cord-104158-l7s2utqb	234	1	(	(	PUNCT
cord-104158-l7s2utqb	234	2	which	which	PRON
cord-104158-l7s2utqb	234	3	was	be	AUX
cord-104158-l7s2utqb	234	4	not	not	PART
cord-104158-l7s2utqb	234	5	certified	certify	VERB
cord-104158-l7s2utqb	234	6	by	by	ADP
cord-104158-l7s2utqb	234	7	peer	peer	NOUN
cord-104158-l7s2utqb	234	8	review	review	NOUN
cord-104158-l7s2utqb	234	9	)	)	PUNCT
cord-104158-l7s2utqb	234	10	preprint	preprint	VERB
cord-104158-l7s2utqb	234	11	the	the	DET
cord-104158-l7s2utqb	234	12	copyright	copyright	NOUN
cord-104158-l7s2utqb	234	13	holder	holder	NOUN
cord-104158-l7s2utqb	234	14	for	for	ADP
cord-104158-l7s2utqb	234	15	this	this	PRON
cord-104158-l7s2utqb	234	16	this	this	DET
cord-104158-l7s2utqb	234	17	version	version	NOUN
cord-104158-l7s2utqb	234	18	posted	post	VERB
cord-104158-l7s2utqb	234	19	november	november	PROPN
cord-104158-l7s2utqb	234	20	13	13	NUM
cord-104158-l7s2utqb	234	21	,	,	PUNCT
cord-104158-l7s2utqb	234	22	2020	2020	NUM
cord-104158-l7s2utqb	234	23	.	.	PUNCT
cord-104158-l7s2utqb	235	1	;	;	PUNCT
cord-104158-l7s2utqb	235	2	https://doi.org/10.1101/2020.11.10.20211995	https://doi.org/10.1101/2020.11.10.20211995	PROPN
cord-104158-l7s2utqb	235	3	doi	doi	PROPN
cord-104158-l7s2utqb	235	4	:	:	PUNCT
cord-104158-l7s2utqb	235	5	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	235	6	preprint	preprint	NOUN
cord-104158-l7s2utqb	235	7	when	when	SCONJ
cord-104158-l7s2utqb	235	8	w	w	PROPN
cord-104158-l7s2utqb	235	9	0	0	NUM
cord-104158-l7s2utqb	235	10	0	0	NUM
cord-104158-l7s2utqb	235	11	,	,	PUNCT
cord-104158-l7s2utqb	235	12	linearization	linearization	NOUN
cord-104158-l7s2utqb	235	13	is	be	AUX
cord-104158-l7s2utqb	235	14	possible	possible	ADJ
cord-104158-l7s2utqb	235	15	.	.	PUNCT
cord-104158-l7s2utqb	236	1	simplifying	simplify	VERB
cord-104158-l7s2utqb	236	2	the	the	DET
cord-104158-l7s2utqb	236	3	trajectory	trajectory	NOUN
cord-104158-l7s2utqb	236	4	f	f	PROPN
cord-104158-l7s2utqb	236	5	(	(	PUNCT
cord-104158-l7s2utqb	236	6	s	s	PROPN
cord-104158-l7s2utqb	236	7	)	)	PUNCT
cord-104158-l7s2utqb	236	8	=	=	NOUN
cord-104158-l7s2utqb	236	9	g(z	g(z	PROPN
cord-104158-l7s2utqb	236	10	)	)	PUNCT
cord-104158-l7s2utqb	236	11	using	use	VERB
cord-104158-l7s2utqb	236	12	the	the	DET
cord-104158-l7s2utqb	236	13	approximations	approximation	NOUN
cord-104158-l7s2utqb	236	14	e	e	NOUN
cord-104158-l7s2utqb	236	15	a	a	DET
cord-104158-l7s2utqb	236	16	=	=	NOUN
cord-104158-l7s2utqb	236	17	1	1	NUM
cord-104158-l7s2utqb	236	18	+	+	SYM
cord-104158-l7s2utqb	236	19	a	a	PRON
cord-104158-l7s2utqb	236	20	+	+	SYM
cord-104158-l7s2utqb	236	21	a	a	DET
cord-104158-l7s2utqb	236	22	2	2	NUM
cord-104158-l7s2utqb	236	23	2	2	NUM
cord-104158-l7s2utqb	236	24	and	and	CCONJ
cord-104158-l7s2utqb	236	25	log(1	log(1	VERB
cord-104158-l7s2utqb	236	26	−	−	SYM
cord-104158-l7s2utqb	236	27	a	a	X
cord-104158-l7s2utqb	236	28	)	)	PUNCT
cord-104158-l7s2utqb	236	29	=	=	NOUN
cord-104158-l7s2utqb	236	30	a	a	DET
cord-104158-l7s2utqb	236	31	−	−	PROPN
cord-104158-l7s2utqb	236	32	a	a	DET
cord-104158-l7s2utqb	236	33	2	2	NUM
cord-104158-l7s2utqb	236	34	2	2	NUM
cord-104158-l7s2utqb	236	35	,	,	PUNCT
cord-104158-l7s2utqb	236	36	we	we	PRON
cord-104158-l7s2utqb	236	37	have	have	VERB
cord-104158-l7s2utqb	236	38	γ(e	γ(e	ADP
cord-104158-l7s2utqb	236	39	z	z	PROPN
cord-104158-l7s2utqb	236	40	−	−	PROPN
cord-104158-l7s2utqb	236	41	z	z	NOUN
cord-104158-l7s2utqb	236	42	−	−	SYM
cord-104158-l7s2utqb	236	43	1	1	NUM
cord-104158-l7s2utqb	236	44	)	)	PUNCT
cord-104158-l7s2utqb	236	45	−	−	PROPN
cord-104158-l7s2utqb	236	46	w	w	PROPN
cord-104158-l7s2utqb	236	47	0	0	NUM
cord-104158-l7s2utqb	236	48	=	=	SYM
cord-104158-l7s2utqb	236	49	s	s	X
cord-104158-l7s2utqb	236	50	+	+	CCONJ
cord-104158-l7s2utqb	236	51	r	r	NOUN
cord-104158-l7s2utqb	236	52	log(1	log(1	NOUN
cord-104158-l7s2utqb	236	53	−	−	SYM
cord-104158-l7s2utqb	236	54	s	s	PROPN
cord-104158-l7s2utqb	236	55	r	r	NOUN
cord-104158-l7s2utqb	236	56	)	)	PUNCT
cord-104158-l7s2utqb	237	1	essentially	essentially	ADV
cord-104158-l7s2utqb	237	2	,	,	PUNCT
cord-104158-l7s2utqb	237	3	we	we	PRON
cord-104158-l7s2utqb	237	4	have	have	VERB
cord-104158-l7s2utqb	237	5	an	an	DET
cord-104158-l7s2utqb	237	6	elliptical	elliptical	ADJ
cord-104158-l7s2utqb	237	7	curve	curve	NOUN
cord-104158-l7s2utqb	237	8	with	with	ADP
cord-104158-l7s2utqb	237	9	x	x	PROPN
cord-104158-l7s2utqb	237	10	,	,	PROPN
cord-104158-l7s2utqb	237	11	y	y	PROPN
cord-104158-l7s2utqb	237	12	following	follow	VERB
cord-104158-l7s2utqb	237	13	sinusoidal	sinusoidal	ADJ
cord-104158-l7s2utqb	237	14	behavior	behavior	NOUN
cord-104158-l7s2utqb	237	15	with	with	ADP
cord-104158-l7s2utqb	237	16	a	a	DET
cord-104158-l7s2utqb	237	17	period	period	NOUN
cord-104158-l7s2utqb	237	18	2π	2π	NUM
cord-104158-l7s2utqb	237	19	√	√	PUNCT
cord-104158-l7s2utqb	238	1	rγ	rγ	NOUN
cord-104158-l7s2utqb	238	2	.	.	PUNCT
cord-104158-l7s2utqb	239	1	proof	proof	NOUN
cord-104158-l7s2utqb	239	2	of	of	ADP
cord-104158-l7s2utqb	239	3	theorem	theorem	NOUN
cord-104158-l7s2utqb	239	4	2(d	2(d	NUM
cord-104158-l7s2utqb	239	5	)	)	PUNCT
cord-104158-l7s2utqb	239	6	.	.	PUNCT
cord-104158-l7s2utqb	240	1	assuming	assume	VERB
cord-104158-l7s2utqb	240	2	a	a	DET
cord-104158-l7s2utqb	240	3	continuous	continuous	ADJ
cord-104158-l7s2utqb	240	4	form	form	NOUN
cord-104158-l7s2utqb	240	5	for	for	ADP
cord-104158-l7s2utqb	240	6	j	j	X
cord-104158-l7s2utqb	240	7	,	,	PUNCT
cord-104158-l7s2utqb	240	8	we	we	PRON
cord-104158-l7s2utqb	240	9	observe	observe	VERB
cord-104158-l7s2utqb	240	10	thaṫ	thaṫ	PROPN
cord-104158-l7s2utqb	240	11	idt	idt	ADJ
cord-104158-l7s2utqb	240	12	(	(	PUNCT
cord-104158-l7s2utqb	240	13	since	since	SCONJ
cord-104158-l7s2utqb	240	14	i	i	PRON
cord-104158-l7s2utqb	240	15	is	be	AUX
cord-104158-l7s2utqb	240	16	periodic	periodic	ADJ
cord-104158-l7s2utqb	240	17	)	)	PUNCT
cord-104158-l7s2utqb	240	18	=	=	SYM
cord-104158-l7s2utqb	240	19	γi	γi	INTJ
cord-104158-l7s2utqb	240	20	*	*	PUNCT
cord-104158-l7s2utqb	240	21	t	t	NOUN
cord-104158-l7s2utqb	240	22	period	period	NOUN
cord-104158-l7s2utqb	240	23	(	(	PUNCT
cord-104158-l7s2utqb	240	24	from	from	ADP
cord-104158-l7s2utqb	240	25	above	above	ADJ
cord-104158-l7s2utqb	240	26	)	)	PUNCT
cord-104158-l7s2utqb	240	27	17	17	NUM
cord-104158-l7s2utqb	240	28	.	.	PUNCT
cord-104158-l7s2utqb	241	1	cc	cc	X
cord-104158-l7s2utqb	241	2	-	-	PUNCT
cord-104158-l7s2utqb	241	3	by	by	ADP
cord-104158-l7s2utqb	241	4	-	-	PUNCT
cord-104158-l7s2utqb	241	5	nc	nc	PROPN
cord-104158-l7s2utqb	241	6	-	-	PUNCT
cord-104158-l7s2utqb	241	7	nd	nd	PROPN
cord-104158-l7s2utqb	241	8	4.0	4.0	NUM
cord-104158-l7s2utqb	241	9	international	international	ADJ
cord-104158-l7s2utqb	241	10	license	license	NOUN
cord-104158-l7s2utqb	241	11	it	it	PRON
cord-104158-l7s2utqb	241	12	is	be	AUX
cord-104158-l7s2utqb	241	13	made	make	VERB
cord-104158-l7s2utqb	241	14	available	available	ADJ
cord-104158-l7s2utqb	241	15	under	under	ADP
cord-104158-l7s2utqb	241	16	a	a	PRON
cord-104158-l7s2utqb	241	17	is	be	AUX
cord-104158-l7s2utqb	241	18	the	the	DET
cord-104158-l7s2utqb	241	19	author	author	NOUN
cord-104158-l7s2utqb	241	20	/	/	SYM
cord-104158-l7s2utqb	241	21	funder	funder	NOUN
cord-104158-l7s2utqb	241	22	,	,	PUNCT
cord-104158-l7s2utqb	241	23	who	who	PRON
cord-104158-l7s2utqb	241	24	has	have	AUX
cord-104158-l7s2utqb	241	25	granted	grant	VERB
cord-104158-l7s2utqb	241	26	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	241	27	a	a	DET
cord-104158-l7s2utqb	241	28	license	license	NOUN
cord-104158-l7s2utqb	241	29	to	to	PART
cord-104158-l7s2utqb	241	30	display	display	VERB
cord-104158-l7s2utqb	241	31	the	the	DET
cord-104158-l7s2utqb	241	32	preprint	preprint	NOUN
cord-104158-l7s2utqb	241	33	in	in	ADP
cord-104158-l7s2utqb	241	34	perpetuity	perpetuity	NOUN
cord-104158-l7s2utqb	241	35	.	.	PUNCT
cord-104158-l7s2utqb	242	1	(	(	PUNCT
cord-104158-l7s2utqb	242	2	which	which	PRON
cord-104158-l7s2utqb	242	3	was	be	AUX
cord-104158-l7s2utqb	242	4	not	not	PART
cord-104158-l7s2utqb	242	5	certified	certify	VERB
cord-104158-l7s2utqb	242	6	by	by	ADP
cord-104158-l7s2utqb	242	7	peer	peer	NOUN
cord-104158-l7s2utqb	242	8	review	review	NOUN
cord-104158-l7s2utqb	242	9	)	)	PUNCT
cord-104158-l7s2utqb	242	10	preprint	preprint	VERB
cord-104158-l7s2utqb	242	11	the	the	DET
cord-104158-l7s2utqb	242	12	copyright	copyright	NOUN
cord-104158-l7s2utqb	242	13	holder	holder	NOUN
cord-104158-l7s2utqb	242	14	for	for	ADP
cord-104158-l7s2utqb	242	15	this	this	PRON
cord-104158-l7s2utqb	242	16	this	this	DET
cord-104158-l7s2utqb	242	17	version	version	NOUN
cord-104158-l7s2utqb	242	18	posted	post	VERB
cord-104158-l7s2utqb	242	19	november	november	PROPN
cord-104158-l7s2utqb	242	20	13	13	NUM
cord-104158-l7s2utqb	242	21	,	,	PUNCT
cord-104158-l7s2utqb	242	22	2020	2020	NUM
cord-104158-l7s2utqb	242	23	.	.	PUNCT
cord-104158-l7s2utqb	243	1	;	;	PUNCT
cord-104158-l7s2utqb	243	2	analysis	analysis	NOUN
cord-104158-l7s2utqb	243	3	and	and	CCONJ
cord-104158-l7s2utqb	243	4	mapping	mapping	NOUN
cord-104158-l7s2utqb	243	5	of	of	ADP
cord-104158-l7s2utqb	243	6	policies	policy	NOUN
cord-104158-l7s2utqb	243	7	-covid	-covid	PROPN
cord-104158-l7s2utqb	243	8	-	-	PUNCT
cord-104158-l7s2utqb	243	9	amp	amp	PROPN
cord-104158-l7s2utqb	243	10	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	11	:	:	PUNCT
cord-104158-l7s2utqb	243	12	a	a	DET
cord-104158-l7s2utqb	243	13	global	global	ADJ
cord-104158-l7s2utqb	243	14	perspective	perspective	ADJ
cord-104158-l7s2utqb	243	15	google	google	PROPN
cord-104158-l7s2utqb	243	16	mobility	mobility	NOUN
cord-104158-l7s2utqb	243	17	data	datum	NOUN
cord-104158-l7s2utqb	243	18	new	new	PROPN
cord-104158-l7s2utqb	243	19	zealand	zealand	PROPN
cord-104158-l7s2utqb	243	20	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	21	alert	alert	ADJ
cord-104158-l7s2utqb	243	22	levels	level	NOUN
cord-104158-l7s2utqb	243	23	global	global	ADJ
cord-104158-l7s2utqb	243	24	stability	stability	NOUN
cord-104158-l7s2utqb	243	25	for	for	ADP
cord-104158-l7s2utqb	243	26	sir	sir	NOUN
cord-104158-l7s2utqb	243	27	and	and	CCONJ
cord-104158-l7s2utqb	243	28	sirs	sir	NOUN
cord-104158-l7s2utqb	243	29	models	model	NOUN
cord-104158-l7s2utqb	243	30	with	with	ADP
cord-104158-l7s2utqb	243	31	differential	differential	ADJ
cord-104158-l7s2utqb	243	32	mortality	mortality	NOUN
cord-104158-l7s2utqb	243	33	stabilization	stabilization	NOUN
cord-104158-l7s2utqb	243	34	with	with	ADP
cord-104158-l7s2utqb	243	35	relaxed	relaxed	ADJ
cord-104158-l7s2utqb	243	36	controls	control	VERB
cord-104158-l7s2utqb	243	37	the	the	DET
cord-104158-l7s2utqb	243	38	limits	limit	NOUN
cord-104158-l7s2utqb	243	39	to	to	ADP
cord-104158-l7s2utqb	243	40	learning	learn	VERB
cord-104158-l7s2utqb	243	41	an	an	DET
cord-104158-l7s2utqb	243	42	sir	sir	NOUN
cord-104158-l7s2utqb	243	43	process	process	NOUN
cord-104158-l7s2utqb	243	44	:	:	PUNCT
cord-104158-l7s2utqb	243	45	granular	granular	ADJ
cord-104158-l7s2utqb	243	46	forecasting	forecasting	NOUN
cord-104158-l7s2utqb	243	47	for	for	ADP
cord-104158-l7s2utqb	243	48	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	49	lotka	lotka	PROPN
cord-104158-l7s2utqb	243	50	-	-	PUNCT
cord-104158-l7s2utqb	243	51	volterra	volterra	PROPN
cord-104158-l7s2utqb	243	52	dynamics	dynamic	NOUN
cord-104158-l7s2utqb	243	53	:	:	PUNCT
cord-104158-l7s2utqb	243	54	an	an	DET
cord-104158-l7s2utqb	243	55	introduction	introduction	NOUN
cord-104158-l7s2utqb	243	56	a	a	DET
cord-104158-l7s2utqb	243	57	quantitative	quantitative	ADJ
cord-104158-l7s2utqb	243	58	compendium	compendium	NOUN
cord-104158-l7s2utqb	243	59	of	of	ADP
cord-104158-l7s2utqb	243	60	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	61	epidemiology	epidemiology	NOUN
cord-104158-l7s2utqb	243	62	an	an	DET
cord-104158-l7s2utqb	243	63	seir	seir	ADJ
cord-104158-l7s2utqb	243	64	infectious	infectious	ADJ
cord-104158-l7s2utqb	243	65	disease	disease	NOUN
cord-104158-l7s2utqb	243	66	model	model	NOUN
cord-104158-l7s2utqb	243	67	with	with	ADP
cord-104158-l7s2utqb	243	68	testing	testing	NOUN
cord-104158-l7s2utqb	243	69	and	and	CCONJ
cord-104158-l7s2utqb	243	70	conditional	conditional	ADJ
cord-104158-l7s2utqb	243	71	quarantine	quarantine	NOUN
cord-104158-l7s2utqb	243	72	real	real	ADJ
cord-104158-l7s2utqb	243	73	time	time	NOUN
cord-104158-l7s2utqb	243	74	bayesian	bayesian	PROPN
cord-104158-l7s2utqb	243	75	estimation	estimation	NOUN
cord-104158-l7s2utqb	243	76	of	of	ADP
cord-104158-l7s2utqb	243	77	the	the	DET
cord-104158-l7s2utqb	243	78	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	243	79	potential	potential	NOUN
cord-104158-l7s2utqb	243	80	of	of	ADP
cord-104158-l7s2utqb	243	81	emerging	emerge	VERB
cord-104158-l7s2utqb	243	82	infectious	infectious	ADJ
cord-104158-l7s2utqb	243	83	diseases	disease	NOUN
cord-104158-l7s2utqb	243	84	contextual	contextual	ADJ
cord-104158-l7s2utqb	243	85	bandit	bandit	NOUN
cord-104158-l7s2utqb	243	86	algorithms	algorithm	NOUN
cord-104158-l7s2utqb	243	87	with	with	ADP
cord-104158-l7s2utqb	243	88	supervised	supervised	ADJ
cord-104158-l7s2utqb	243	89	learning	learning	NOUN
cord-104158-l7s2utqb	243	90	guarantees	guarantee	NOUN
cord-104158-l7s2utqb	243	91	on	on	ADP
cord-104158-l7s2utqb	243	92	fast	fast	ADJ
cord-104158-l7s2utqb	243	93	multi	multi	ADJ
cord-104158-l7s2utqb	243	94	-	-	ADJ
cord-104158-l7s2utqb	243	95	shot	shot	ADJ
cord-104158-l7s2utqb	243	96	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	97	interventions	intervention	NOUN
cord-104158-l7s2utqb	243	98	for	for	ADP
cord-104158-l7s2utqb	243	99	post	post	NOUN
cord-104158-l7s2utqb	243	100	lock	lock	VERB
cord-104158-l7s2utqb	243	101	-	-	PUNCT
cord-104158-l7s2utqb	243	102	down	down	ADP
cord-104158-l7s2utqb	243	103	mitigation	mitigation	NOUN
cord-104158-l7s2utqb	243	104	elementary	elementary	ADJ
cord-104158-l7s2utqb	243	105	differential	differential	ADJ
cord-104158-l7s2utqb	243	106	equations	equation	NOUN
cord-104158-l7s2utqb	243	107	and	and	CCONJ
cord-104158-l7s2utqb	243	108	boundary	boundary	ADJ
cord-104158-l7s2utqb	243	109	value	value	NOUN
cord-104158-l7s2utqb	243	110	problems	problem	NOUN
cord-104158-l7s2utqb	243	111	a	a	DET
cord-104158-l7s2utqb	243	112	lyapunov	lyapunov	ADV
cord-104158-l7s2utqb	243	113	-	-	PUNCT
cord-104158-l7s2utqb	243	114	based	base	VERB
cord-104158-l7s2utqb	243	115	approach	approach	NOUN
cord-104158-l7s2utqb	243	116	to	to	ADP
cord-104158-l7s2utqb	243	117	safe	safe	ADJ
cord-104158-l7s2utqb	243	118	reinforcement	reinforcement	NOUN
cord-104158-l7s2utqb	243	119	learning	learn	VERB
cord-104158-l7s2utqb	243	120	dynamic	dynamic	ADJ
cord-104158-l7s2utqb	243	121	interventions	intervention	NOUN
cord-104158-l7s2utqb	243	122	to	to	PART
cord-104158-l7s2utqb	243	123	control	control	VERB
cord-104158-l7s2utqb	243	124	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	125	pandemic	pandemic	ADJ
cord-104158-l7s2utqb	243	126	:	:	PUNCT
cord-104158-l7s2utqb	243	127	a	a	DET
cord-104158-l7s2utqb	243	128	multivariate	multivariate	NOUN
cord-104158-l7s2utqb	243	129	prediction	prediction	NOUN
cord-104158-l7s2utqb	243	130	modelling	modelling	NOUN
cord-104158-l7s2utqb	243	131	study	study	NOUN
cord-104158-l7s2utqb	243	132	comparing	compare	VERB
cord-104158-l7s2utqb	243	133	16	16	NUM
cord-104158-l7s2utqb	243	134	worldwide	worldwide	ADJ
cord-104158-l7s2utqb	243	135	countries	country	NOUN
cord-104158-l7s2utqb	243	136	forecasting	forecast	VERB
cord-104158-l7s2utqb	243	137	the	the	DET
cord-104158-l7s2utqb	243	138	impact	impact	NOUN
cord-104158-l7s2utqb	243	139	of	of	ADP
cord-104158-l7s2utqb	243	140	the	the	DET
cord-104158-l7s2utqb	243	141	first	first	ADJ
cord-104158-l7s2utqb	243	142	wave	wave	NOUN
cord-104158-l7s2utqb	243	143	of	of	ADP
cord-104158-l7s2utqb	243	144	the	the	DET
cord-104158-l7s2utqb	243	145	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	243	146	pandemic	pandemic	NOUN
cord-104158-l7s2utqb	243	147	on	on	ADP
cord-104158-l7s2utqb	243	148	hospital	hospital	NOUN
cord-104158-l7s2utqb	243	149	demand	demand	NOUN
cord-104158-l7s2utqb	243	150	and	and	CCONJ
cord-104158-l7s2utqb	243	151	deaths	death	NOUN
cord-104158-l7s2utqb	243	152	for	for	ADP
cord-104158-l7s2utqb	243	153	the	the	DET
cord-104158-l7s2utqb	243	154	usa	usa	PROPN
cord-104158-l7s2utqb	243	155	and	and	CCONJ
cord-104158-l7s2utqb	243	156	european	european	PROPN
cord-104158-l7s2utqb	243	157	economic	economic	ADJ
cord-104158-l7s2utqb	243	158	area	area	NOUN
cord-104158-l7s2utqb	243	159	countries	country	NOUN
cord-104158-l7s2utqb	243	160	.	.	PUNCT
cord-104158-l7s2utqb	244	1	medrxiv	medrxiv	PROPN
cord-104158-l7s2utqb	244	2	alexandr	alexandr	NOUN
cord-104158-l7s2utqb	244	3	ten	ten	NUM
cord-104158-l7s2utqb	244	4	,	,	PUNCT
cord-104158-l7s2utqb	244	5	et	et	PROPN
cord-104158-l7s2utqb	244	6	al	al	PROPN
cord-104158-l7s2utqb	244	7	.	.	PUNCT
cord-104158-l7s2utqb	245	1	a	a	DET
cord-104158-l7s2utqb	245	2	structured	structured	ADJ
cord-104158-l7s2utqb	245	3	open	open	ADJ
cord-104158-l7s2utqb	245	4	dataset	dataset	NOUN
cord-104158-l7s2utqb	245	5	of	of	ADP
cord-104158-l7s2utqb	245	6	government	government	NOUN
cord-104158-l7s2utqb	245	7	interventions	intervention	NOUN
cord-104158-l7s2utqb	245	8	in	in	ADP
cord-104158-l7s2utqb	245	9	response	response	NOUN
cord-104158-l7s2utqb	245	10	to	to	ADP
cord-104158-l7s2utqb	245	11	covid-19	covid-19	NUM
cord-104158-l7s2utqb	245	12	optimal	optimal	ADJ
cord-104158-l7s2utqb	245	13	control	control	NOUN
cord-104158-l7s2utqb	245	14	and	and	CCONJ
cord-104158-l7s2utqb	245	15	synchronization	synchronization	NOUN
cord-104158-l7s2utqb	245	16	of	of	ADP
cord-104158-l7s2utqb	245	17	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	18	-	-	PUNCT
cord-104158-l7s2utqb	245	19	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	20	model	model	PROPN
cord-104158-l7s2utqb	245	21	impact	impact	NOUN
cord-104158-l7s2utqb	245	22	of	of	ADP
cord-104158-l7s2utqb	245	23	non	non	ADJ
cord-104158-l7s2utqb	245	24	-	-	ADJ
cord-104158-l7s2utqb	245	25	pharmaceutical	pharmaceutical	ADJ
cord-104158-l7s2utqb	245	26	interventions	intervention	NOUN
cord-104158-l7s2utqb	245	27	(	(	PUNCT
cord-104158-l7s2utqb	245	28	npis	npis	PROPN
cord-104158-l7s2utqb	245	29	)	)	PUNCT
cord-104158-l7s2utqb	245	30	to	to	PART
cord-104158-l7s2utqb	245	31	reduce	reduce	VERB
cord-104158-l7s2utqb	245	32	covid19	covid19	ADJ
cord-104158-l7s2utqb	245	33	mortality	mortality	NOUN
cord-104158-l7s2utqb	245	34	and	and	CCONJ
cord-104158-l7s2utqb	245	35	healthcare	healthcare	NOUN
cord-104158-l7s2utqb	245	36	demand	demand	NOUN
cord-104158-l7s2utqb	245	37	exact	exact	ADJ
cord-104158-l7s2utqb	245	38	analytical	analytical	ADJ
cord-104158-l7s2utqb	245	39	solutions	solution	NOUN
cord-104158-l7s2utqb	245	40	of	of	ADP
cord-104158-l7s2utqb	245	41	the	the	DET
cord-104158-l7s2utqb	245	42	susceptibleinfected	susceptibleinfecte	VERB
cord-104158-l7s2utqb	245	43	-	-	PUNCT
cord-104158-l7s2utqb	245	44	recovered	recover	VERB
cord-104158-l7s2utqb	245	45	(	(	PUNCT
cord-104158-l7s2utqb	245	46	sir	sir	PROPN
cord-104158-l7s2utqb	245	47	)	)	PUNCT
cord-104158-l7s2utqb	245	48	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	245	49	model	model	NOUN
cord-104158-l7s2utqb	245	50	and	and	CCONJ
cord-104158-l7s2utqb	245	51	of	of	ADP
cord-104158-l7s2utqb	245	52	the	the	DET
cord-104158-l7s2utqb	245	53	sir	sir	PROPN
cord-104158-l7s2utqb	245	54	model	model	NOUN
cord-104158-l7s2utqb	245	55	with	with	ADP
cord-104158-l7s2utqb	245	56	equal	equal	ADJ
cord-104158-l7s2utqb	245	57	death	death	NOUN
cord-104158-l7s2utqb	245	58	and	and	CCONJ
cord-104158-l7s2utqb	245	59	birth	birth	NOUN
cord-104158-l7s2utqb	245	60	rates	rate	NOUN
cord-104158-l7s2utqb	245	61	coexistence	coexistence	NOUN
cord-104158-l7s2utqb	245	62	and	and	CCONJ
cord-104158-l7s2utqb	245	63	extinction	extinction	NOUN
cord-104158-l7s2utqb	245	64	for	for	ADP
cord-104158-l7s2utqb	245	65	stochastic	stochastic	NOUN
cord-104158-l7s2utqb	245	66	kolmogorov	kolmogorov	PROPN
cord-104158-l7s2utqb	245	67	systems	system	NOUN
cord-104158-l7s2utqb	245	68	the	the	DET
cord-104158-l7s2utqb	245	69	mathematics	mathematic	NOUN
cord-104158-l7s2utqb	245	70	of	of	ADP
cord-104158-l7s2utqb	245	71	infectious	infectious	ADJ
cord-104158-l7s2utqb	245	72	diseases	disease	NOUN
cord-104158-l7s2utqb	245	73	a	a	DET
cord-104158-l7s2utqb	245	74	remark	remark	NOUN
cord-104158-l7s2utqb	245	75	on	on	ADP
cord-104158-l7s2utqb	245	76	the	the	DET
cord-104158-l7s2utqb	245	77	period	period	NOUN
cord-104158-l7s2utqb	245	78	of	of	ADP
cord-104158-l7s2utqb	245	79	the	the	DET
cord-104158-l7s2utqb	245	80	periodic	periodic	ADJ
cord-104158-l7s2utqb	245	81	solution	solution	NOUN
cord-104158-l7s2utqb	245	82	in	in	ADP
cord-104158-l7s2utqb	245	83	the	the	DET
cord-104158-l7s2utqb	245	84	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	85	-	-	PUNCT
cord-104158-l7s2utqb	245	86	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	87	system	system	NOUN
cord-104158-l7s2utqb	245	88	the	the	DET
cord-104158-l7s2utqb	245	89	behaviour	behaviour	NOUN
cord-104158-l7s2utqb	245	90	and	and	CCONJ
cord-104158-l7s2utqb	245	91	attractiveness	attractiveness	NOUN
cord-104158-l7s2utqb	245	92	of	of	ADP
cord-104158-l7s2utqb	245	93	the	the	DET
cord-104158-l7s2utqb	245	94	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	95	-	-	PUNCT
cord-104158-l7s2utqb	245	96	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	97	equations	equation	NOUN
cord-104158-l7s2utqb	245	98	analysis	analysis	NOUN
cord-104158-l7s2utqb	245	99	synthesis	synthesis	NOUN
cord-104158-l7s2utqb	245	100	telephony	telephony	NOUN
cord-104158-l7s2utqb	245	101	based	base	VERB
cord-104158-l7s2utqb	245	102	upon	upon	SCONJ
cord-104158-l7s2utqb	245	103	the	the	DET
cord-104158-l7s2utqb	245	104	maximum	maximum	ADJ
cord-104158-l7s2utqb	245	105	likelihood	likelihood	NOUN
cord-104158-l7s2utqb	245	106	method	method	NOUN
cord-104158-l7s2utqb	245	107	a	a	DET
cord-104158-l7s2utqb	245	108	comparison	comparison	NOUN
cord-104158-l7s2utqb	245	109	of	of	ADP
cord-104158-l7s2utqb	245	110	delayed	delay	VERB
cord-104158-l7s2utqb	245	111	sir	sir	NOUN
cord-104158-l7s2utqb	245	112	and	and	CCONJ
cord-104158-l7s2utqb	245	113	seir	seir	NOUN
cord-104158-l7s2utqb	245	114	epidemic	epidemic	NOUN
cord-104158-l7s2utqb	245	115	models	model	NOUN
cord-104158-l7s2utqb	245	116	a	a	DET
cord-104158-l7s2utqb	245	117	contribution	contribution	NOUN
cord-104158-l7s2utqb	245	118	to	to	ADP
cord-104158-l7s2utqb	245	119	the	the	DET
cord-104158-l7s2utqb	245	120	mathematical	mathematical	ADJ
cord-104158-l7s2utqb	245	121	theory	theory	NOUN
cord-104158-l7s2utqb	245	122	of	of	ADP
cord-104158-l7s2utqb	245	123	epidemics	epidemic	NOUN
cord-104158-l7s2utqb	245	124	evaluating	evaluate	VERB
cord-104158-l7s2utqb	245	125	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	245	126	lockdown	lockdown	NOUN
cord-104158-l7s2utqb	245	127	and	and	CCONJ
cord-104158-l7s2utqb	245	128	business	business	NOUN
cord-104158-l7s2utqb	245	129	-	-	PUNCT
cord-104158-l7s2utqb	245	130	sector	sector	NOUN
cord-104158-l7s2utqb	245	131	-	-	PUNCT
cord-104158-l7s2utqb	245	132	specific	specific	ADJ
cord-104158-l7s2utqb	245	133	reopening	reopen	VERB
cord-104158-l7s2utqb	245	134	policies	policy	NOUN
cord-104158-l7s2utqb	245	135	for	for	ADP
cord-104158-l7s2utqb	245	136	three	three	NUM
cord-104158-l7s2utqb	245	137	us	us	PROPN
cord-104158-l7s2utqb	245	138	states	state	NOUN
cord-104158-l7s2utqb	245	139	test	test	NOUN
cord-104158-l7s2utqb	245	140	sensitivity	sensitivity	NOUN
cord-104158-l7s2utqb	245	141	is	be	AUX
cord-104158-l7s2utqb	245	142	secondary	secondary	ADJ
cord-104158-l7s2utqb	245	143	to	to	PART
cord-104158-l7s2utqb	245	144	frequency	frequency	NOUN
cord-104158-l7s2utqb	245	145	and	and	CCONJ
cord-104158-l7s2utqb	245	146	turnaround	turnaround	NOUN
cord-104158-l7s2utqb	245	147	time	time	NOUN
cord-104158-l7s2utqb	245	148	for	for	ADP
cord-104158-l7s2utqb	245	149	covid-19	covid-19	PROPN
cord-104158-l7s2utqb	245	150	surveillance	surveillance	VERB
cord-104158-l7s2utqb	245	151	covid19	covid19	ADJ
cord-104158-l7s2utqb	245	152	policy	policy	NOUN
cord-104158-l7s2utqb	245	153	trackers	tracker	NOUN
cord-104158-l7s2utqb	245	154	globally	globally	ADV
cord-104158-l7s2utqb	245	155	stabilizing	stabilize	VERB
cord-104158-l7s2utqb	245	156	feedback	feedback	NOUN
cord-104158-l7s2utqb	245	157	control	control	NOUN
cord-104158-l7s2utqb	245	158	of	of	ADP
cord-104158-l7s2utqb	245	159	process	process	NOUN
cord-104158-l7s2utqb	245	160	systems	system	NOUN
cord-104158-l7s2utqb	245	161	in	in	ADP
cord-104158-l7s2utqb	245	162	generalized	generalized	ADJ
cord-104158-l7s2utqb	245	163	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	164	-	-	PUNCT
cord-104158-l7s2utqb	245	165	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	166	form	form	PROPN
cord-104158-l7s2utqb	245	167	predator	predator	NOUN
cord-104158-l7s2utqb	245	168	-	-	PUNCT
cord-104158-l7s2utqb	245	169	prey	prey	NOUN
cord-104158-l7s2utqb	245	170	models	model	NOUN
cord-104158-l7s2utqb	245	171	with	with	ADP
cord-104158-l7s2utqb	245	172	delay	delay	NOUN
cord-104158-l7s2utqb	245	173	and	and	CCONJ
cord-104158-l7s2utqb	245	174	prey	prey	NOUN
cord-104158-l7s2utqb	245	175	harvesting	harvest	VERB
cord-104158-l7s2utqb	245	176	controller	controller	NOUN
cord-104158-l7s2utqb	245	177	design	design	NOUN
cord-104158-l7s2utqb	245	178	techniques	technique	NOUN
cord-104158-l7s2utqb	245	179	for	for	ADP
cord-104158-l7s2utqb	245	180	the	the	DET
cord-104158-l7s2utqb	245	181	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	182	-	-	PUNCT
cord-104158-l7s2utqb	245	183	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	184	nonlinear	nonlinear	PROPN
cord-104158-l7s2utqb	245	185	system	system	PROPN
cord-104158-l7s2utqb	245	186	hamiltonian	hamiltonian	ADJ
cord-104158-l7s2utqb	245	187	structure	structure	NOUN
cord-104158-l7s2utqb	245	188	of	of	ADP
cord-104158-l7s2utqb	245	189	the	the	DET
cord-104158-l7s2utqb	245	190	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	191	-	-	PUNCT
cord-104158-l7s2utqb	245	192	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	193	equations	equations	PROPN
cord-104158-l7s2utqb	245	194	control	control	NOUN
cord-104158-l7s2utqb	245	195	of	of	ADP
cord-104158-l7s2utqb	245	196	oscillatory	oscillatory	ADJ
cord-104158-l7s2utqb	245	197	behavior	behavior	NOUN
cord-104158-l7s2utqb	245	198	of	of	ADP
cord-104158-l7s2utqb	245	199	multispecies	multispecie	NOUN
cord-104158-l7s2utqb	245	200	populations	population	NOUN
cord-104158-l7s2utqb	245	201	stochastic	stochastic	PROPN
cord-104158-l7s2utqb	245	202	hamilton	hamilton	PROPN
cord-104158-l7s2utqb	245	203	-	-	PUNCT
cord-104158-l7s2utqb	245	204	jacobi	jacobi	PROPN
cord-104158-l7s2utqb	245	205	-	-	PUNCT
cord-104158-l7s2utqb	245	206	bellman	bellman	PROPN
cord-104158-l7s2utqb	245	207	equations	equation	NOUN
cord-104158-l7s2utqb	245	208	from	from	ADP
cord-104158-l7s2utqb	245	209	reinforcement	reinforcement	NOUN
cord-104158-l7s2utqb	245	210	learning	learning	NOUN
cord-104158-l7s2utqb	245	211	to	to	ADP
cord-104158-l7s2utqb	245	212	optimal	optimal	ADJ
cord-104158-l7s2utqb	245	213	control	control	NOUN
cord-104158-l7s2utqb	245	214	:	:	PUNCT
cord-104158-l7s2utqb	245	215	a	a	DET
cord-104158-l7s2utqb	245	216	unified	unified	ADJ
cord-104158-l7s2utqb	245	217	framework	framework	NOUN
cord-104158-l7s2utqb	245	218	for	for	ADP
cord-104158-l7s2utqb	245	219	sequential	sequential	ADJ
cord-104158-l7s2utqb	245	220	decisions	decision	NOUN
cord-104158-l7s2utqb	245	221	lyapunov	lyapunov	PROPN
cord-104158-l7s2utqb	245	222	functions	function	NOUN
cord-104158-l7s2utqb	245	223	for	for	ADP
cord-104158-l7s2utqb	245	224	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	225	-	-	PUNCT
cord-104158-l7s2utqb	245	226	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	227	systems	systems	PROPN
cord-104158-l7s2utqb	245	228	:	:	PUNCT
cord-104158-l7s2utqb	245	229	an	an	DET
cord-104158-l7s2utqb	245	230	overview	overview	NOUN
cord-104158-l7s2utqb	245	231	and	and	CCONJ
cord-104158-l7s2utqb	245	232	problems	problem	VERB
cord-104158-l7s2utqb	245	233	indsci	indsci	PROPN
cord-104158-l7s2utqb	245	234	-	-	PUNCT
cord-104158-l7s2utqb	245	235	sim	sim	PROPN
cord-104158-l7s2utqb	245	236	a	a	DET
cord-104158-l7s2utqb	245	237	state	state	NOUN
cord-104158-l7s2utqb	245	238	-	-	PUNCT
cord-104158-l7s2utqb	245	239	level	level	NOUN
cord-104158-l7s2utqb	245	240	epidemiological	epidemiological	ADJ
cord-104158-l7s2utqb	245	241	model	model	NOUN
cord-104158-l7s2utqb	245	242	for	for	ADP
cord-104158-l7s2utqb	245	243	india	india	PROPN
cord-104158-l7s2utqb	245	244	the	the	DET
cord-104158-l7s2utqb	245	245	period	period	NOUN
cord-104158-l7s2utqb	245	246	of	of	ADP
cord-104158-l7s2utqb	245	247	a	a	DET
cord-104158-l7s2utqb	245	248	lotka	lotka	PROPN
cord-104158-l7s2utqb	245	249	-	-	PUNCT
cord-104158-l7s2utqb	245	250	volterra	volterra	PROPN
cord-104158-l7s2utqb	245	251	system	system	PROPN
cord-104158-l7s2utqb	245	252	a	a	DET
cord-104158-l7s2utqb	245	253	'	'	PUNCT
cord-104158-l7s2utqb	245	254	universal	universal	ADJ
cord-104158-l7s2utqb	245	255	'	'	PUNCT
cord-104158-l7s2utqb	245	256	construction	construction	NOUN
cord-104158-l7s2utqb	245	257	of	of	ADP
cord-104158-l7s2utqb	245	258	artstein	artstein	PROPN
cord-104158-l7s2utqb	245	259	's	's	PART
cord-104158-l7s2utqb	245	260	theorem	theorem	NOUN
cord-104158-l7s2utqb	245	261	on	on	ADP
cord-104158-l7s2utqb	245	262	nonlinear	nonlinear	ADJ
cord-104158-l7s2utqb	245	263	stabilization	stabilization	NOUN
cord-104158-l7s2utqb	245	264	stabilization	stabilization	NOUN
cord-104158-l7s2utqb	245	265	of	of	ADP
cord-104158-l7s2utqb	245	266	affine	affine	NOUN
cord-104158-l7s2utqb	245	267	in	in	ADP
cord-104158-l7s2utqb	245	268	control	control	PROPN
cord-104158-l7s2utqb	245	269	nonlinear	nonlinear	PROPN
cord-104158-l7s2utqb	245	270	systems	system	NOUN
cord-104158-l7s2utqb	245	271	sufficient	sufficient	ADJ
cord-104158-l7s2utqb	245	272	lyapunov	lyapunov	ADJ
cord-104158-l7s2utqb	245	273	-	-	PUNCT
cord-104158-l7s2utqb	245	274	like	like	ADJ
cord-104158-l7s2utqb	245	275	conditions	condition	NOUN
cord-104158-l7s2utqb	245	276	for	for	ADP
cord-104158-l7s2utqb	245	277	stabilization	stabilization	NOUN
cord-104158-l7s2utqb	245	278	.	.	PUNCT
cord-104158-l7s2utqb	246	1	mathematics	mathematic	NOUN
cord-104158-l7s2utqb	246	2	of	of	ADP
cord-104158-l7s2utqb	246	3	control	control	NOUN
cord-104158-l7s2utqb	246	4	,	,	PUNCT
cord-104158-l7s2utqb	246	5	signals	signal	NOUN
cord-104158-l7s2utqb	246	6	and	and	CCONJ
cord-104158-l7s2utqb	246	7	systems	system	NOUN
cord-104158-l7s2utqb	246	8	time	time	NOUN
cord-104158-l7s2utqb	246	9	lag	lag	VERB
cord-104158-l7s2utqb	246	10	in	in	ADP
cord-104158-l7s2utqb	246	11	prey	prey	NOUN
cord-104158-l7s2utqb	246	12	-	-	PUNCT
cord-104158-l7s2utqb	246	13	predator	predator	NOUN
cord-104158-l7s2utqb	246	14	population	population	NOUN
cord-104158-l7s2utqb	246	15	models	model	NOUN
cord-104158-l7s2utqb	246	16	stability	stability	NOUN
cord-104158-l7s2utqb	246	17	and	and	CCONJ
cord-104158-l7s2utqb	246	18	bifurcation	bifurcation	NOUN
cord-104158-l7s2utqb	246	19	analysis	analysis	NOUN
cord-104158-l7s2utqb	246	20	for	for	ADP
cord-104158-l7s2utqb	246	21	a	a	DET
cord-104158-l7s2utqb	246	22	delayed	delay	VERB
cord-104158-l7s2utqb	246	23	lotka	lotka	PROPN
cord-104158-l7s2utqb	246	24	-	-	PUNCT
cord-104158-l7s2utqb	246	25	volterra	volterra	PROPN
cord-104158-l7s2utqb	246	26	predator	predator	PROPN
cord-104158-l7s2utqb	246	27	-	-	PUNCT
cord-104158-l7s2utqb	246	28	prey	prey	NOUN
cord-104158-l7s2utqb	246	29	system	system	NOUN
cord-104158-l7s2utqb	246	30	a	a	DET
cord-104158-l7s2utqb	246	31	proofs	proof	NOUN
cord-104158-l7s2utqb	246	32	definition	definition	NOUN
cord-104158-l7s2utqb	246	33	1	1	NUM
cord-104158-l7s2utqb	247	1	[	[	PUNCT
cord-104158-l7s2utqb	247	2	14	14	NUM
cord-104158-l7s2utqb	247	3	]	]	PUNCT
cord-104158-l7s2utqb	247	4	let	let	VERB
cord-104158-l7s2utqb	247	5	z	z	NOUN
cord-104158-l7s2utqb	248	1	*	*	PUNCT
cord-104158-l7s2utqb	249	1	∈	∈	NOUN
cord-104158-l7s2utqb	250	1	r	r	NOUN
cord-104158-l7s2utqb	250	2	n	n	ADV
cord-104158-l7s2utqb	250	3	be	be	AUX
cord-104158-l7s2utqb	250	4	a	a	DET
cord-104158-l7s2utqb	250	5	critical	critical	ADJ
cord-104158-l7s2utqb	250	6	point	point	NOUN
cord-104158-l7s2utqb	250	7	of	of	ADP
cord-104158-l7s2utqb	250	8	a	a	DET
cord-104158-l7s2utqb	250	9	system	system	NOUN
cord-104158-l7s2utqb	250	10	of	of	ADP
cord-104158-l7s2utqb	250	11	odes	ode	NOUN
cord-104158-l7s2utqb	250	12	.	.	PUNCT
cord-104158-l7s2utqb	251	1	the	the	DET
cord-104158-l7s2utqb	251	2	critical	critical	ADJ
cord-104158-l7s2utqb	251	3	point	point	NOUN
cord-104158-l7s2utqb	251	4	z	z	NOUN
cord-104158-l7s2utqb	251	5	*	*	PUNCT
cord-104158-l7s2utqb	251	6	is	be	AUX
cord-104158-l7s2utqb	251	7	stable	stable	ADJ
cord-104158-l7s2utqb	251	8	if	if	SCONJ
cord-104158-l7s2utqb	251	9	,	,	PUNCT
cord-104158-l7s2utqb	251	10	for	for	ADP
cord-104158-l7s2utqb	251	11	any	any	PRON
cord-104158-l7s2utqb	251	12	>	>	X
cord-104158-l7s2utqb	251	13	0	0	NUM
cord-104158-l7s2utqb	252	1	∃	∃	PROPN
cord-104158-l7s2utqb	252	2	δ	δ	PROPN
cord-104158-l7s2utqb	252	3	>	>	PUNCT
cord-104158-l7s2utqb	252	4	0	0	PUNCT
cord-104158-l7s2utqb	252	5	such	such	ADJ
cord-104158-l7s2utqb	252	6	that	that	SCONJ
cord-104158-l7s2utqb	252	7	if	if	SCONJ
cord-104158-l7s2utqb	252	8	z	z	X
cord-104158-l7s2utqb	252	9	=	=	SYM
cord-104158-l7s2utqb	252	10	φ(t	φ(t	PROPN
cord-104158-l7s2utqb	252	11	)	)	PUNCT
cord-104158-l7s2utqb	252	12	satisfies	satisfie	NOUN
cord-104158-l7s2utqb	252	13	||φ(0	||φ(0	PROPN
cord-104158-l7s2utqb	252	14	)	)	PUNCT
cord-104158-l7s2utqb	253	1	−	−	X
cord-104158-l7s2utqb	253	2	z	z	NOUN
cord-104158-l7s2utqb	253	3	*	*	PUNCT
cord-104158-l7s2utqb	253	4	||	||	PUNCT
cord-104158-l7s2utqb	254	1	<	<	X
cord-104158-l7s2utqb	255	1	δ	δ	PROPN
cord-104158-l7s2utqb	255	2	then	then	ADV
cord-104158-l7s2utqb	255	3	||φ(t	||φ(t	PROPN
cord-104158-l7s2utqb	255	4	)	)	PUNCT
cord-104158-l7s2utqb	256	1	−	−	X
cord-104158-l7s2utqb	256	2	z	z	NOUN
cord-104158-l7s2utqb	256	3	*	*	PUNCT
cord-104158-l7s2utqb	257	1	||	||	INTJ
cord-104158-l7s2utqb	257	2	<	<	X
cord-104158-l7s2utqb	257	3	,	,	PUNCT
cord-104158-l7s2utqb	257	4	∀	∀	NUM
cord-104158-l7s2utqb	257	5	t	t	NOUN
cord-104158-l7s2utqb	257	6	>	>	PUNCT
cord-104158-l7s2utqb	257	7	0	0	NUM
cord-104158-l7s2utqb	257	8	.	.	PUNCT
cord-104158-l7s2utqb	258	1	at	at	ADP
cord-104158-l7s2utqb	258	2	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	258	3	(	(	PUNCT
cord-104158-l7s2utqb	258	4	j	j	PROPN
cord-104158-l7s2utqb	258	5	*	*	PROPN
cord-104158-l7s2utqb	258	6	,	,	PUNCT
cord-104158-l7s2utqb	258	7	i	i	PRON
cord-104158-l7s2utqb	258	8	*	*	PUNCT
cord-104158-l7s2utqb	258	9	)	)	PUNCT
cord-104158-l7s2utqb	258	10	,	,	PUNCT
cord-104158-l7s2utqb	258	11	we	we	PRON
cord-104158-l7s2utqb	258	12	havej	havej	PROPN
cord-104158-l7s2utqb	258	13	=	=	PROPN
cord-104158-l7s2utqb	258	14	0	0	NUM
cord-104158-l7s2utqb	258	15	andi̇	andi̇	NOUN
cord-104158-l7s2utqb	258	16	=	=	NOUN
cord-104158-l7s2utqb	258	17	0	0	NUM
cord-104158-l7s2utqb	258	18	.	.	PUNCT
cord-104158-l7s2utqb	259	1	from	from	ADP
cord-104158-l7s2utqb	259	2	eqn	eqn	PROPN
cord-104158-l7s2utqb	259	3	.	.	PUNCT
cord-104158-l7s2utqb	260	1	1	1	NUM
cord-104158-l7s2utqb	260	2	,	,	PUNCT
cord-104158-l7s2utqb	260	3	it	it	PRON
cord-104158-l7s2utqb	260	4	follows	follow	VERB
cord-104158-l7s2utqb	260	5	thaṫ	thaṫ	PROPN
cord-104158-l7s2utqb	260	6	j|	j|	PROPN
cord-104158-l7s2utqb	261	1	(	(	PUNCT
cord-104158-l7s2utqb	262	1	j	j	PROPN
cord-104158-l7s2utqb	262	2	,	,	PUNCT
cord-104158-l7s2utqb	262	3	i)=(j	i)=(j	NOUN
cord-104158-l7s2utqb	262	4	*	*	PUNCT
cord-104158-l7s2utqb	262	5	,	,	PUNCT
cord-104158-l7s2utqb	262	6	i	i	PRON
cord-104158-l7s2utqb	262	7	*	*	PUNCT
cord-104158-l7s2utqb	262	8	)	)	PUNCT
cord-104158-l7s2utqb	263	1	=	=	PRON
cord-104158-l7s2utqb	263	2	rj	rj	X
cord-104158-l7s2utqb	263	3	*	*	PUNCT
cord-104158-l7s2utqb	264	1	−	−	PUNCT
cord-104158-l7s2utqb	264	2	ei	ei	PROPN
cord-104158-l7s2utqb	264	3	*	*	PUNCT
cord-104158-l7s2utqb	265	1	j	j	PUNCT
cord-104158-l7s2utqb	265	2	*	*	PUNCT
cord-104158-l7s2utqb	265	3	=	=	NOUN
cord-104158-l7s2utqb	265	4	0	0	PUNCT
cord-104158-l7s2utqb	265	5	⇒	⇒	NOUN
cord-104158-l7s2utqb	266	1	i	i	PRON
cord-104158-l7s2utqb	266	2	*	*	PUNCT
cord-104158-l7s2utqb	266	3	=	=	PRON
cord-104158-l7s2utqb	266	4	r	r	X
cord-104158-l7s2utqb	266	5	e	e	PROPN
cord-104158-l7s2utqb	266	6	,	,	PUNCT
cord-104158-l7s2utqb	266	7	to	to	PART
cord-104158-l7s2utqb	266	8	prove	prove	VERB
cord-104158-l7s2utqb	266	9	the	the	DET
cord-104158-l7s2utqb	266	10	stability	stability	NOUN
cord-104158-l7s2utqb	266	11	of	of	ADP
cord-104158-l7s2utqb	266	12	the	the	DET
cord-104158-l7s2utqb	266	13	critical	critical	ADJ
cord-104158-l7s2utqb	266	14	point	point	NOUN
cord-104158-l7s2utqb	266	15	at	at	ADP
cord-104158-l7s2utqb	266	16	(	(	PUNCT
cord-104158-l7s2utqb	266	17	j	j	NOUN
cord-104158-l7s2utqb	266	18	*	*	PROPN
cord-104158-l7s2utqb	266	19	,	,	PUNCT
cord-104158-l7s2utqb	266	20	i	i	PRON
cord-104158-l7s2utqb	266	21	*	*	PUNCT
cord-104158-l7s2utqb	266	22	)	)	PUNCT
cord-104158-l7s2utqb	266	23	,	,	PUNCT
cord-104158-l7s2utqb	266	24	let	let	VERB
cord-104158-l7s2utqb	266	25	us	we	PRON
cord-104158-l7s2utqb	266	26	consider	consider	VERB
cord-104158-l7s2utqb	266	27	the	the	DET
cord-104158-l7s2utqb	266	28	normalized	normalized	ADJ
cord-104158-l7s2utqb	266	29	variableshence	variableshence	NOUN
cord-104158-l7s2utqb	266	30	,	,	PUNCT
cord-104158-l7s2utqb	266	31	w(j	w(j	PROPN
cord-104158-l7s2utqb	266	32	,	,	PUNCT
cord-104158-l7s2utqb	266	33	i	i	PROPN
cord-104158-l7s2utqb	266	34	)	)	PUNCT
cord-104158-l7s2utqb	266	35	remains	remain	VERB
cord-104158-l7s2utqb	266	36	invariant	invariant	ADJ
cord-104158-l7s2utqb	266	37	throughout	throughout	ADV
cord-104158-l7s2utqb	266	38	and	and	CCONJ
cord-104158-l7s2utqb	266	39	is	be	AUX
cord-104158-l7s2utqb	266	40	equal	equal	ADJ
cord-104158-l7s2utqb	266	41	to	to	ADP
cord-104158-l7s2utqb	266	42	w(j	w(j	PROPN
cord-104158-l7s2utqb	266	43	0	0	NUM
cord-104158-l7s2utqb	266	44	,	,	PUNCT
cord-104158-l7s2utqb	266	45	i	i	PRON
cord-104158-l7s2utqb	266	46	0	0	PUNCT
cord-104158-l7s2utqb	266	47	)	)	PUNCT
cord-104158-l7s2utqb	267	1	=	=	PROPN
cord-104158-l7s2utqb	267	2	w	w	NOUN
cord-104158-l7s2utqb	267	3	0	0	NUM
cord-104158-l7s2utqb	267	4	.	.	PUNCT
cord-104158-l7s2utqb	268	1	let	let	VERB
cord-104158-l7s2utqb	268	2	w	w	PROPN
cord-104158-l7s2utqb	268	3	0	0	PUNCT
cord-104158-l7s2utqb	268	4	=	=	X
cord-104158-l7s2utqb	268	5	w(j	w(j	X
cord-104158-l7s2utqb	268	6	0	0	NUM
cord-104158-l7s2utqb	268	7	,	,	PUNCT
cord-104158-l7s2utqb	268	8	i	i	PRON
cord-104158-l7s2utqb	268	9	0	0	PUNCT
cord-104158-l7s2utqb	268	10	)	)	PUNCT
cord-104158-l7s2utqb	268	11	be	be	AUX
cord-104158-l7s2utqb	268	12	the	the	DET
cord-104158-l7s2utqb	268	13	energy	energy	NOUN
cord-104158-l7s2utqb	268	14	associated	associate	VERB
cord-104158-l7s2utqb	268	15	with	with	ADP
cord-104158-l7s2utqb	268	16	the	the	DET
cord-104158-l7s2utqb	268	17	modified	modified	ADJ
cord-104158-l7s2utqb	268	18	sir	sir	NOUN
cord-104158-l7s2utqb	268	19	system	system	NOUN
cord-104158-l7s2utqb	268	20	in	in	ADP
cord-104158-l7s2utqb	268	21	to	to	PART
cord-104158-l7s2utqb	268	22	identify	identify	VERB
cord-104158-l7s2utqb	268	23	the	the	DET
cord-104158-l7s2utqb	268	24	extreme	extreme	ADJ
cord-104158-l7s2utqb	268	25	x	x	SYM
cord-104158-l7s2utqb	268	26	values	value	NOUN
cord-104158-l7s2utqb	268	27	,	,	PUNCT
cord-104158-l7s2utqb	268	28	we	we	PRON
cord-104158-l7s2utqb	268	29	observe	observe	VERB
cord-104158-l7s2utqb	268	30	thatγ	thatγ	NOUN
cord-104158-l7s2utqb	268	31	.	.	PUNCT
cord-104158-l7s2utqb	269	1	both	both	CCONJ
cord-104158-l7s2utqb	269	2	the	the	DET
cord-104158-l7s2utqb	269	3	extreme	extreme	ADJ
cord-104158-l7s2utqb	269	4	values	value	NOUN
cord-104158-l7s2utqb	269	5	of	of	ADP
cord-104158-l7s2utqb	269	6	x	x	VERB
cord-104158-l7s2utqb	269	7	are	be	AUX
cord-104158-l7s2utqb	269	8	realized	realize	VERB
cord-104158-l7s2utqb	269	9	for	for	ADP
cord-104158-l7s2utqb	269	10	y	y	PROPN
cord-104158-l7s2utqb	269	11	=	=	PROPN
cord-104158-l7s2utqb	269	12	1	1	NUM
cord-104158-l7s2utqb	269	13	.	.	PUNCT
cord-104158-l7s2utqb	270	1	similarly	similarly	ADV
cord-104158-l7s2utqb	270	2	,	,	PUNCT
cord-104158-l7s2utqb	270	3	the	the	DET
cord-104158-l7s2utqb	270	4	extreme	extreme	ADJ
cord-104158-l7s2utqb	270	5	values	value	NOUN
cord-104158-l7s2utqb	270	6	of	of	ADP
cord-104158-l7s2utqb	270	7	y	y	PROPN
cord-104158-l7s2utqb	270	8	are	be	AUX
cord-104158-l7s2utqb	270	9	attained	attain	VERB
cord-104158-l7s2utqb	270	10	for	for	ADP
cord-104158-l7s2utqb	270	11	x	x	X
cord-104158-l7s2utqb	270	12	=	=	X
cord-104158-l7s2utqb	270	13	1	1	NUM
cord-104158-l7s2utqb	270	14	and	and	CCONJ
cord-104158-l7s2utqb	270	15	given	give	VERB
cord-104158-l7s2utqb	270	16	by	by	ADP
cord-104158-l7s2utqb	270	17	(	(	PUNCT
cord-104158-l7s2utqb	270	18	y	y	PROPN
cord-104158-l7s2utqb	270	19	min	min	PROPN
cord-104158-l7s2utqb	270	20	,	,	PUNCT
cord-104158-l7s2utqb	270	21	y	y	PROPN
cord-104158-l7s2utqb	270	22	max	max	PROPN
cord-104158-l7s2utqb	270	23	)	)	PUNCT
cord-104158-l7s2utqb	270	24	which	which	PRON
cord-104158-l7s2utqb	270	25	correspond	correspond	VERB
cord-104158-l7s2utqb	270	26	to	to	ADP
cord-104158-l7s2utqb	270	27	the	the	DET
cord-104158-l7s2utqb	270	28	roots	root	NOUN
cord-104158-l7s2utqb	270	29	of	of	ADP
cord-104158-l7s2utqb	270	30	f	f	PROPN
cord-104158-l7s2utqb	270	31	(	(	PUNCT
cord-104158-l7s2utqb	270	32	x	x	X
cord-104158-l7s2utqb	270	33	)	)	PUNCT
cord-104158-l7s2utqb	270	34	=	=	SYM
cord-104158-l7s2utqb	270	35	w0	w0	PROPN
cord-104158-l7s2utqb	270	36	r	r	PROPN
cord-104158-l7s2utqb	270	37	.proof	.proof	PUNCT
cord-104158-l7s2utqb	270	38	of	of	ADP
cord-104158-l7s2utqb	270	39	theorem	theorem	NOUN
cord-104158-l7s2utqb	270	40	2(c).the	2(c).the	DET
cord-104158-l7s2utqb	270	41	period	period	NOUN
cord-104158-l7s2utqb	270	42	of	of	ADP
cord-104158-l7s2utqb	270	43	a	a	DET
cord-104158-l7s2utqb	270	44	lotka	lotka	PROPN
cord-104158-l7s2utqb	270	45	-	-	PUNCT
cord-104158-l7s2utqb	270	46	volterra	volterra	PROPN
cord-104158-l7s2utqb	270	47	system	system	PROPN
cord-104158-l7s2utqb	270	48	has	have	AUX
cord-104158-l7s2utqb	270	49	been	be	AUX
cord-104158-l7s2utqb	270	50	derived	derive	VERB
cord-104158-l7s2utqb	270	51	in	in	ADP
cord-104158-l7s2utqb	270	52	multiple	multiple	ADJ
cord-104158-l7s2utqb	270	53	works	work	NOUN
cord-104158-l7s2utqb	270	54	[	[	X
cord-104158-l7s2utqb	270	55	42	42	NUM
cord-104158-l7s2utqb	270	56	]	]	PUNCT
cord-104158-l7s2utqb	270	57	.	.	PUNCT
cord-104158-l7s2utqb	271	1	we	we	PRON
cord-104158-l7s2utqb	271	2	include	include	VERB
cord-104158-l7s2utqb	271	3	the	the	DET
cord-104158-l7s2utqb	271	4	below	below	ADJ
cord-104158-l7s2utqb	271	5	proof	proof	NOUN
cord-104158-l7s2utqb	271	6	based	base	VERB
cord-104158-l7s2utqb	271	7	on	on	ADP
cord-104158-l7s2utqb	271	8	hsu	hsu	PROPN
cord-104158-l7s2utqb	271	9	's	's	PART
cord-104158-l7s2utqb	271	10	method	method	NOUN
cord-104158-l7s2utqb	271	11	[	[	PUNCT
cord-104158-l7s2utqb	271	12	24	24	NUM
cord-104158-l7s2utqb	271	13	]	]	PUNCT
cord-104158-l7s2utqb	271	14	for	for	ADP
cord-104158-l7s2utqb	271	15	completeness	completeness	NOUN
cord-104158-l7s2utqb	271	16	.	.	PUNCT
cord-104158-l7s2utqb	272	1	assuming	assume	VERB
cord-104158-l7s2utqb	272	2	a	a	DET
cord-104158-l7s2utqb	272	3	proportional	proportional	ADJ
cord-104158-l7s2utqb	272	4	additive	additive	ADJ
cord-104158-l7s2utqb	272	5	control	control	NOUN
cord-104158-l7s2utqb	272	6	on	on	ADP
cord-104158-l7s2utqb	272	7	β	β	NOUN
cord-104158-l7s2utqb	272	8	of	of	ADP
cord-104158-l7s2utqb	272	9	the	the	DET
cord-104158-l7s2utqb	272	10	formβ	formβ	PROPN
cord-104158-l7s2utqb	272	11	=	=	PROPN
cord-104158-l7s2utqb	272	12	β	β	PROPN
cord-104158-l7s2utqb	272	13	2	2	NUM
cord-104158-l7s2utqb	272	14	si	si	X
cord-104158-l7s2utqb	272	15	n	n	NOUN
cord-104158-l7s2utqb	272	16	+	+	PROPN
cord-104158-l7s2utqb	272	17	(	(	PUNCT
cord-104158-l7s2utqb	272	18	r	r	NOUN
cord-104158-l7s2utqb	272	19	−	−	PROPN
cord-104158-l7s2utqb	272	20	ei)β	ei)β	PUNCT
cord-104158-l7s2utqb	272	21	+	+	CCONJ
cord-104158-l7s2utqb	272	22	uβ	uβ	INTJ
cord-104158-l7s2utqb	272	23	,	,	PUNCT
cord-104158-l7s2utqb	272	24	the	the	DET
cord-104158-l7s2utqb	272	25	variation	variation	NOUN
cord-104158-l7s2utqb	272	26	of	of	ADP
cord-104158-l7s2utqb	272	27	the	the	DET
cord-104158-l7s2utqb	272	28	susceptible	susceptible	ADJ
cord-104158-l7s2utqb	272	29	contacts	contact	NOUN
cord-104158-l7s2utqb	272	30	j	j	PROPN
cord-104158-l7s2utqb	272	31	is	be	AUX
cord-104158-l7s2utqb	272	32	given	give	VERB
cord-104158-l7s2utqb	272	33	bẏlet	bẏlet	NOUN
cord-104158-l7s2utqb	273	1	z	z	PROPN
cord-104158-l7s2utqb	273	2	=	=	PROPN
cord-104158-l7s2utqb	273	3	(	(	PUNCT
cord-104158-l7s2utqb	273	4	j	j	NOUN
cord-104158-l7s2utqb	273	5	/	/	SYM
cord-104158-l7s2utqb	273	6	j	j	NOUN
cord-104158-l7s2utqb	273	7	*	*	PUNCT
cord-104158-l7s2utqb	274	1	−	−	PROPN
cord-104158-l7s2utqb	274	2	1	1	NUM
cord-104158-l7s2utqb	274	3	,	,	PUNCT
cord-104158-l7s2utqb	274	4	i	i	NOUN
cord-104158-l7s2utqb	274	5	/	/	NOUN
cord-104158-l7s2utqb	274	6	i	i	NOUN
cord-104158-l7s2utqb	274	7	*	*	PUNCT
cord-104158-l7s2utqb	274	8	−	−	NUM
cord-104158-l7s2utqb	274	9	1	1	NUM
cord-104158-l7s2utqb	274	10	)	)	PUNCT
cord-104158-l7s2utqb	274	11	=	=	NOUN
cord-104158-l7s2utqb	274	12	(	(	PUNCT
cord-104158-l7s2utqb	274	13	z	z	NOUN
cord-104158-l7s2utqb	274	14	1	1	NUM
cord-104158-l7s2utqb	274	15	,	,	PUNCT
cord-104158-l7s2utqb	274	16	z	z	NOUN
cord-104158-l7s2utqb	274	17	2	2	NUM
cord-104158-l7s2utqb	274	18	)	)	PUNCT
cord-104158-l7s2utqb	274	19	so	so	SCONJ
cord-104158-l7s2utqb	274	20	that	that	SCONJ
cord-104158-l7s2utqb	274	21	z	z	X
cord-104158-l7s2utqb	274	22	=	=	NOUN
cord-104158-l7s2utqb	274	23	(	(	PUNCT
cord-104158-l7s2utqb	274	24	0	0	NUM
cord-104158-l7s2utqb	274	25	,	,	PUNCT
cord-104158-l7s2utqb	274	26	0	0	NUM
cord-104158-l7s2utqb	274	27	)	)	PUNCT
cord-104158-l7s2utqb	274	28	corresponds	correspond	VERB
cord-104158-l7s2utqb	274	29	to	to	ADP
cord-104158-l7s2utqb	274	30	the	the	DET
cord-104158-l7s2utqb	274	31	equilibrium	equilibrium	NOUN
cord-104158-l7s2utqb	274	32	state	state	NOUN
cord-104158-l7s2utqb	274	33	.	.	PUNCT
cord-104158-l7s2utqb	275	1	then	then	ADV
cord-104158-l7s2utqb	275	2	w(j	w(j	PROPN
cord-104158-l7s2utqb	275	3	,	,	PUNCT
cord-104158-l7s2utqb	275	4	i	i	PROPN
cord-104158-l7s2utqb	275	5	)	)	PUNCT
cord-104158-l7s2utqb	275	6	=	=	SYM
cord-104158-l7s2utqb	275	7	γ(z	γ(z	PROPN
cord-104158-l7s2utqb	275	8	1	1	NUM
cord-104158-l7s2utqb	275	9	−	−	PROPN
cord-104158-l7s2utqb	275	10	log(1	log(1	NOUN
cord-104158-l7s2utqb	275	11	+	+	CCONJ
cord-104158-l7s2utqb	275	12	z	z	NUM
cord-104158-l7s2utqb	275	13	1	1	NUM
cord-104158-l7s2utqb	275	14	)	)	PUNCT
cord-104158-l7s2utqb	275	15	)	)	PUNCT
cord-104158-l7s2utqb	276	1	+	+	CCONJ
cord-104158-l7s2utqb	277	1	r(z	r(z	NOUN
cord-104158-l7s2utqb	277	2	2	2	NUM
cord-104158-l7s2utqb	277	3	−	−	PROPN
cord-104158-l7s2utqb	277	4	log(1	log(1	NOUN
cord-104158-l7s2utqb	277	5	+	+	CCONJ
cord-104158-l7s2utqb	277	6	z	z	NUM
cord-104158-l7s2utqb	277	7	2	2	NUM
cord-104158-l7s2utqb	277	8	)	)	PUNCT
cord-104158-l7s2utqb	277	9	)	)	PUNCT
cord-104158-l7s2utqb	277	10	.	.	PUNCT
cord-104158-l7s2utqb	278	1	for	for	ADP
cord-104158-l7s2utqb	278	2	v	v	NOUN
cord-104158-l7s2utqb	278	3	(	(	PUNCT
cord-104158-l7s2utqb	278	4	z	z	NOUN
cord-104158-l7s2utqb	278	5	)	)	PUNCT
cord-104158-l7s2utqb	278	6	=	=	NOUN
cord-104158-l7s2utqb	278	7	l(w(j	l(w(j	PROPN
cord-104158-l7s2utqb	278	8	,	,	PUNCT
cord-104158-l7s2utqb	278	9	i	i	NOUN
cord-104158-l7s2utqb	278	10	)	)	PUNCT
cord-104158-l7s2utqb	278	11	,	,	PUNCT
cord-104158-l7s2utqb	278	12	w	w	PROPN
cord-104158-l7s2utqb	278	13	*	*	PUNCT
cord-104158-l7s2utqb	278	14	)	)	PUNCT
cord-104158-l7s2utqb	279	1	to	to	PART
cord-104158-l7s2utqb	279	2	be	be	AUX
cord-104158-l7s2utqb	279	3	a	a	DET
cord-104158-l7s2utqb	279	4	control	control	NOUN
cord-104158-l7s2utqb	279	5	-	-	PUNCT
cord-104158-l7s2utqb	279	6	lyapunov	lyapunov	NOUN
cord-104158-l7s2utqb	279	7	function	function	NOUN
cord-104158-l7s2utqb	279	8	,	,	PUNCT
cord-104158-l7s2utqb	279	9	we	we	PRON
cord-104158-l7s2utqb	279	10	requirev	requirev	X
cord-104158-l7s2utqb	279	11	(	(	PUNCT
cord-104158-l7s2utqb	279	12	z	z	NOUN
cord-104158-l7s2utqb	279	13	,	,	PUNCT
cord-104158-l7s2utqb	279	14	u	u	NOUN
cord-104158-l7s2utqb	279	15	)	)	PUNCT
cord-104158-l7s2utqb	279	16	<	<	X
cord-104158-l7s2utqb	279	17	0.when	0.when	PUNCT
cord-104158-l7s2utqb	280	1	the	the	DET
cord-104158-l7s2utqb	280	2	control	control	NOUN
cord-104158-l7s2utqb	280	3	is	be	AUX
cord-104158-l7s2utqb	280	4	chosen	choose	VERB
cord-104158-l7s2utqb	280	5	as	as	ADP
cord-104158-l7s2utqb	280	6	u	u	PROPN
cord-104158-l7s2utqb	280	7	=	=	X
cord-104158-l7s2utqb	280	8	−η(t	−η(t	X
cord-104158-l7s2utqb	280	9	)	)	PUNCT
cord-104158-l7s2utqb	281	1	dl	dl	PROPN
cord-104158-l7s2utqb	281	2	dw	dw	PROPN
cord-104158-l7s2utqb	281	3	(	(	PUNCT
cord-104158-l7s2utqb	281	4	j	j	NOUN
cord-104158-l7s2utqb	281	5	j	j	X
cord-104158-l7s2utqb	281	6	*	*	PUNCT
cord-104158-l7s2utqb	281	7	−	−	NUM
cord-104158-l7s2utqb	281	8	1	1	NUM
cord-104158-l7s2utqb	281	9	)	)	PUNCT
cord-104158-l7s2utqb	281	10	and	and	CCONJ
cord-104158-l7s2utqb	281	11	η(t	η(t	X
cord-104158-l7s2utqb	281	12	)	)	PUNCT
cord-104158-l7s2utqb	281	13	>	>	PUNCT
cord-104158-l7s2utqb	281	14	0	0	NUM
cord-104158-l7s2utqb	281	15	,	,	PUNCT
cord-104158-l7s2utqb	281	16	∀t	∀t	NUM
cord-104158-l7s2utqb	281	17	,	,	PUNCT
