id	sid	tid	token	lemma	pos
cord-010719-90379pjd	1	1	key	key	ADJ
cord-010719-90379pjd	1	2	:	:	PUNCT
cord-010719-90379pjd	1	3	cord-010719	cord-010719	PROPN
cord-010719-90379pjd	1	4	-	-	PUNCT
cord-010719-90379pjd	1	5	90379pjd	90379pjd	NUM
cord-010719-90379pjd	1	6	authors	author	NOUN
cord-010719-90379pjd	1	7	:	:	PUNCT
cord-010719-90379pjd	1	8	saeedian	saeedian	PROPN
cord-010719-90379pjd	1	9	,	,	PUNCT
cord-010719-90379pjd	1	10	m.	m.	NOUN
cord-010719-90379pjd	1	11	;	;	PUNCT
cord-010719-90379pjd	1	12	khalighi	khalighi	PROPN
cord-010719-90379pjd	1	13	,	,	PUNCT
cord-010719-90379pjd	1	14	m.	m.	NOUN
cord-010719-90379pjd	1	15	;	;	PUNCT
cord-010719-90379pjd	1	16	azimi	azimi	PROPN
cord-010719-90379pjd	1	17	-	-	PUNCT
cord-010719-90379pjd	1	18	tafreshi	tafreshi	PROPN
cord-010719-90379pjd	1	19	,	,	PUNCT
cord-010719-90379pjd	1	20	n.	n.	PROPN
cord-010719-90379pjd	1	21	;	;	PUNCT
cord-010719-90379pjd	1	22	jafari	jafari	PROPN
cord-010719-90379pjd	1	23	,	,	PUNCT
cord-010719-90379pjd	1	24	g.	g.	PROPN
cord-010719-90379pjd	1	25	r.	r.	PROPN
cord-010719-90379pjd	1	26	;	;	PUNCT
cord-010719-90379pjd	1	27	ausloos	ausloos	PROPN
cord-010719-90379pjd	1	28	,	,	PUNCT
cord-010719-90379pjd	1	29	m.	m.	NOUN
cord-010719-90379pjd	1	30	title	title	PROPN
cord-010719-90379pjd	1	31	:	:	PUNCT
cord-010719-90379pjd	1	32	memory	memory	NOUN
cord-010719-90379pjd	1	33	effects	effect	NOUN
cord-010719-90379pjd	1	34	on	on	ADP
cord-010719-90379pjd	1	35	epidemic	epidemic	NOUN
cord-010719-90379pjd	1	36	evolution	evolution	NOUN
cord-010719-90379pjd	1	37	:	:	PUNCT
cord-010719-90379pjd	1	38	the	the	DET
cord-010719-90379pjd	1	39	susceptible	susceptible	ADJ
cord-010719-90379pjd	1	40	-	-	PUNCT
cord-010719-90379pjd	1	41	infected	infect	VERB
cord-010719-90379pjd	1	42	-	-	PUNCT
cord-010719-90379pjd	1	43	recovered	recover	VERB
cord-010719-90379pjd	1	44	epidemic	epidemic	NOUN
cord-010719-90379pjd	1	45	model	model	NOUN
cord-010719-90379pjd	1	46	date	date	NOUN
cord-010719-90379pjd	1	47	:	:	PUNCT
cord-010719-90379pjd	1	48	2017	2017	NUM
cord-010719-90379pjd	1	49	-	-	SYM
cord-010719-90379pjd	1	50	02	02	NUM
cord-010719-90379pjd	1	51	-	-	NUM
cord-010719-90379pjd	1	52	21	21	NUM
cord-010719-90379pjd	1	53	journal	journal	NOUN
cord-010719-90379pjd	1	54	:	:	PUNCT
cord-010719-90379pjd	1	55	phys	phys	PROPN
cord-010719-90379pjd	1	56	rev	rev	PROPN
cord-010719-90379pjd	1	57	e	e	PROPN
cord-010719-90379pjd	1	58	doi	doi	PROPN
cord-010719-90379pjd	1	59	:	:	PUNCT
cord-010719-90379pjd	1	60	10.1103	10.1103	NUM
cord-010719-90379pjd	1	61	/	/	SYM
cord-010719-90379pjd	1	62	physreve.95.022409	physreve.95.022409	NOUN
cord-010719-90379pjd	1	63	sha	shall	AUX
cord-010719-90379pjd	1	64	:	:	PUNCT
cord-010719-90379pjd	1	65	doc_id	doc_id	X
cord-010719-90379pjd	1	66	:	:	PUNCT
cord-010719-90379pjd	1	67	10719	10719	NUM
cord-010719-90379pjd	2	1	cord_uid	cord_uid	PROPN
cord-010719-90379pjd	2	2	:	:	PUNCT
cord-010719-90379pjd	2	3	90379pjd	90379pjd	NUM
cord-010719-90379pjd	2	4	memory	memory	NOUN
cord-010719-90379pjd	2	5	has	have	VERB
cord-010719-90379pjd	2	6	a	a	DET
cord-010719-90379pjd	2	7	great	great	ADJ
cord-010719-90379pjd	2	8	impact	impact	NOUN
cord-010719-90379pjd	2	9	on	on	ADP
cord-010719-90379pjd	2	10	the	the	DET
cord-010719-90379pjd	2	11	evolution	evolution	NOUN
cord-010719-90379pjd	2	12	of	of	ADP
cord-010719-90379pjd	2	13	every	every	DET
cord-010719-90379pjd	2	14	process	process	NOUN
cord-010719-90379pjd	2	15	related	relate	VERB
cord-010719-90379pjd	2	16	to	to	ADP
cord-010719-90379pjd	2	17	human	human	ADJ
cord-010719-90379pjd	2	18	societies	society	NOUN
cord-010719-90379pjd	2	19	.	.	PUNCT
cord-010719-90379pjd	3	1	among	among	ADP
cord-010719-90379pjd	3	2	them	they	PRON
cord-010719-90379pjd	3	3	,	,	PUNCT
cord-010719-90379pjd	3	4	the	the	DET
cord-010719-90379pjd	3	5	evolution	evolution	NOUN
cord-010719-90379pjd	3	6	of	of	ADP
cord-010719-90379pjd	3	7	an	an	DET
cord-010719-90379pjd	3	8	epidemic	epidemic	NOUN
cord-010719-90379pjd	3	9	is	be	AUX
cord-010719-90379pjd	3	10	directly	directly	ADV
cord-010719-90379pjd	3	11	related	relate	VERB
cord-010719-90379pjd	3	12	to	to	ADP
cord-010719-90379pjd	3	13	the	the	DET
cord-010719-90379pjd	3	14	individuals	individual	NOUN
cord-010719-90379pjd	3	15	'	'	PART
cord-010719-90379pjd	3	16	experiences	experience	NOUN
cord-010719-90379pjd	3	17	.	.	PUNCT
cord-010719-90379pjd	4	1	indeed	indeed	ADV
cord-010719-90379pjd	4	2	,	,	PUNCT
cord-010719-90379pjd	4	3	any	any	DET
cord-010719-90379pjd	4	4	real	real	ADJ
cord-010719-90379pjd	4	5	epidemic	epidemic	NOUN
cord-010719-90379pjd	4	6	process	process	NOUN
cord-010719-90379pjd	4	7	is	be	AUX
cord-010719-90379pjd	4	8	clearly	clearly	ADV
cord-010719-90379pjd	4	9	sustained	sustain	VERB
cord-010719-90379pjd	4	10	by	by	ADP
cord-010719-90379pjd	4	11	a	a	DET
cord-010719-90379pjd	4	12	non	non	ADJ
cord-010719-90379pjd	4	13	-	-	ADJ
cord-010719-90379pjd	4	14	markovian	markovian	ADJ
cord-010719-90379pjd	4	15	dynamics	dynamic	NOUN
cord-010719-90379pjd	4	16	:	:	PUNCT
cord-010719-90379pjd	4	17	memory	memory	NOUN
cord-010719-90379pjd	4	18	effects	effect	NOUN
cord-010719-90379pjd	4	19	play	play	VERB
cord-010719-90379pjd	4	20	an	an	DET
cord-010719-90379pjd	4	21	essential	essential	ADJ
cord-010719-90379pjd	4	22	role	role	NOUN
cord-010719-90379pjd	4	23	in	in	ADP
cord-010719-90379pjd	4	24	the	the	DET
cord-010719-90379pjd	4	25	spreading	spreading	NOUN
cord-010719-90379pjd	4	26	of	of	ADP
cord-010719-90379pjd	4	27	diseases	disease	NOUN
cord-010719-90379pjd	4	28	.	.	PUNCT
cord-010719-90379pjd	5	1	including	include	VERB
cord-010719-90379pjd	5	2	memory	memory	NOUN
cord-010719-90379pjd	5	3	effects	effect	NOUN
cord-010719-90379pjd	5	4	in	in	ADP
cord-010719-90379pjd	5	5	the	the	DET
cord-010719-90379pjd	5	6	susceptible	susceptible	ADJ
cord-010719-90379pjd	5	7	-	-	PUNCT
cord-010719-90379pjd	5	8	infected	infect	VERB
cord-010719-90379pjd	5	9	-	-	PUNCT
cord-010719-90379pjd	5	10	recovered	recover	VERB
cord-010719-90379pjd	5	11	(	(	PUNCT
cord-010719-90379pjd	5	12	sir	sir	PROPN
cord-010719-90379pjd	5	13	)	)	PUNCT
cord-010719-90379pjd	5	14	epidemic	epidemic	NOUN
cord-010719-90379pjd	5	15	model	model	NOUN
cord-010719-90379pjd	5	16	seems	seem	VERB
cord-010719-90379pjd	5	17	very	very	ADV
cord-010719-90379pjd	5	18	appropriate	appropriate	ADJ
cord-010719-90379pjd	5	19	for	for	ADP
cord-010719-90379pjd	5	20	such	such	DET
cord-010719-90379pjd	5	21	an	an	DET
cord-010719-90379pjd	5	22	investigation	investigation	NOUN
cord-010719-90379pjd	5	23	.	.	PUNCT
cord-010719-90379pjd	6	1	thus	thus	ADV
cord-010719-90379pjd	6	2	,	,	PUNCT
cord-010719-90379pjd	6	3	the	the	DET
cord-010719-90379pjd	6	4	memory	memory	NOUN
cord-010719-90379pjd	6	5	prone	prone	ADJ
cord-010719-90379pjd	6	6	sir	sir	NOUN
cord-010719-90379pjd	6	7	model	model	NOUN
cord-010719-90379pjd	6	8	dynamics	dynamic	NOUN
cord-010719-90379pjd	6	9	is	be	AUX
cord-010719-90379pjd	6	10	investigated	investigate	VERB
cord-010719-90379pjd	6	11	using	use	VERB
cord-010719-90379pjd	6	12	fractional	fractional	ADJ
cord-010719-90379pjd	6	13	derivatives	derivative	NOUN
cord-010719-90379pjd	6	14	.	.	PUNCT
cord-010719-90379pjd	7	1	the	the	DET
cord-010719-90379pjd	7	2	decay	decay	NOUN
cord-010719-90379pjd	7	3	of	of	ADP
cord-010719-90379pjd	7	4	long	long	ADJ
cord-010719-90379pjd	7	5	-	-	PUNCT
cord-010719-90379pjd	7	6	range	range	NOUN
cord-010719-90379pjd	7	7	memory	memory	NOUN
cord-010719-90379pjd	7	8	,	,	PUNCT
cord-010719-90379pjd	7	9	taken	take	VERB
cord-010719-90379pjd	7	10	as	as	ADP
cord-010719-90379pjd	7	11	a	a	DET
cord-010719-90379pjd	7	12	power	power	NOUN
cord-010719-90379pjd	7	13	-	-	PUNCT
cord-010719-90379pjd	7	14	law	law	NOUN
cord-010719-90379pjd	7	15	function	function	NOUN
cord-010719-90379pjd	7	16	,	,	PUNCT
cord-010719-90379pjd	7	17	is	be	AUX
cord-010719-90379pjd	7	18	directly	directly	ADV
cord-010719-90379pjd	7	19	controlled	control	VERB
cord-010719-90379pjd	7	20	by	by	ADP
cord-010719-90379pjd	7	21	the	the	DET
cord-010719-90379pjd	7	22	order	order	NOUN
cord-010719-90379pjd	7	23	of	of	ADP
cord-010719-90379pjd	7	24	the	the	DET
cord-010719-90379pjd	7	25	fractional	fractional	ADJ
cord-010719-90379pjd	7	26	derivatives	derivative	NOUN
cord-010719-90379pjd	7	27	in	in	ADP
cord-010719-90379pjd	7	28	the	the	DET
cord-010719-90379pjd	7	29	corresponding	corresponding	ADJ
cord-010719-90379pjd	7	30	nonlinear	nonlinear	ADJ
cord-010719-90379pjd	7	31	fractional	fractional	ADJ
cord-010719-90379pjd	7	32	differential	differential	ADJ
cord-010719-90379pjd	7	33	evolution	evolution	NOUN
cord-010719-90379pjd	7	34	equations	equation	NOUN
cord-010719-90379pjd	7	35	.	.	PUNCT
cord-010719-90379pjd	8	1	here	here	ADV
cord-010719-90379pjd	8	2	we	we	PRON
cord-010719-90379pjd	8	3	assume	assume	VERB
cord-010719-90379pjd	8	4	“	"	PUNCT
cord-010719-90379pjd	8	5	fully	fully	ADV
cord-010719-90379pjd	8	6	mixed	mixed	ADJ
cord-010719-90379pjd	8	7	”	"	PUNCT
cord-010719-90379pjd	8	8	approximation	approximation	NOUN
cord-010719-90379pjd	8	9	and	and	CCONJ
cord-010719-90379pjd	8	10	show	show	VERB
cord-010719-90379pjd	8	11	that	that	SCONJ
cord-010719-90379pjd	8	12	the	the	DET
cord-010719-90379pjd	8	13	epidemic	epidemic	NOUN
cord-010719-90379pjd	8	14	threshold	threshold	NOUN
cord-010719-90379pjd	8	15	is	be	AUX
cord-010719-90379pjd	8	16	shifted	shift	VERB
cord-010719-90379pjd	8	17	to	to	ADP
cord-010719-90379pjd	8	18	higher	high	ADJ
cord-010719-90379pjd	8	19	values	value	NOUN
cord-010719-90379pjd	8	20	than	than	ADP
cord-010719-90379pjd	8	21	those	those	PRON
cord-010719-90379pjd	8	22	for	for	ADP
cord-010719-90379pjd	8	23	the	the	DET
cord-010719-90379pjd	8	24	memoryless	memoryless	NOUN
cord-010719-90379pjd	8	25	system	system	NOUN
cord-010719-90379pjd	8	26	,	,	PUNCT
cord-010719-90379pjd	8	27	depending	depend	VERB
cord-010719-90379pjd	8	28	on	on	ADP
cord-010719-90379pjd	8	29	this	this	DET
cord-010719-90379pjd	8	30	memory	memory	NOUN
cord-010719-90379pjd	8	31	“	"	PUNCT
cord-010719-90379pjd	8	32	length	length	NOUN
cord-010719-90379pjd	8	33	”	"	PUNCT
cord-010719-90379pjd	8	34	decay	decay	NOUN
cord-010719-90379pjd	8	35	exponent	exponent	NOUN
cord-010719-90379pjd	8	36	.	.	PUNCT
cord-010719-90379pjd	9	1	we	we	PRON
cord-010719-90379pjd	9	2	also	also	ADV
cord-010719-90379pjd	9	3	consider	consider	VERB
cord-010719-90379pjd	9	4	the	the	DET
cord-010719-90379pjd	9	5	sir	sir	PROPN
cord-010719-90379pjd	9	6	model	model	NOUN
cord-010719-90379pjd	9	7	on	on	ADP
cord-010719-90379pjd	9	8	structured	structured	ADJ
cord-010719-90379pjd	9	9	networks	network	NOUN
cord-010719-90379pjd	9	10	and	and	CCONJ
cord-010719-90379pjd	9	11	study	study	VERB
cord-010719-90379pjd	9	12	the	the	DET
cord-010719-90379pjd	9	13	effect	effect	NOUN
cord-010719-90379pjd	9	14	of	of	ADP
cord-010719-90379pjd	9	15	topology	topology	NOUN
cord-010719-90379pjd	9	16	on	on	ADP
cord-010719-90379pjd	9	17	threshold	threshold	NOUN
cord-010719-90379pjd	9	18	points	point	NOUN
cord-010719-90379pjd	9	19	in	in	ADP
cord-010719-90379pjd	9	20	a	a	DET
cord-010719-90379pjd	9	21	non	non	ADJ
cord-010719-90379pjd	9	22	-	-	ADJ
cord-010719-90379pjd	9	23	markovian	markovian	ADJ
cord-010719-90379pjd	9	24	dynamics	dynamic	NOUN
cord-010719-90379pjd	9	25	.	.	PUNCT
cord-010719-90379pjd	10	1	furthermore	furthermore	ADV
cord-010719-90379pjd	10	2	,	,	PUNCT
cord-010719-90379pjd	10	3	the	the	DET
cord-010719-90379pjd	10	4	lack	lack	NOUN
cord-010719-90379pjd	10	5	of	of	ADP
cord-010719-90379pjd	10	6	access	access	NOUN
cord-010719-90379pjd	10	7	to	to	ADP
cord-010719-90379pjd	10	8	the	the	DET
cord-010719-90379pjd	10	9	precise	precise	ADJ
cord-010719-90379pjd	10	10	information	information	NOUN
cord-010719-90379pjd	10	11	about	about	ADP
cord-010719-90379pjd	10	12	the	the	DET
cord-010719-90379pjd	10	13	initial	initial	ADJ
cord-010719-90379pjd	10	14	conditions	condition	NOUN
cord-010719-90379pjd	10	15	or	or	CCONJ
cord-010719-90379pjd	10	16	the	the	DET
cord-010719-90379pjd	10	17	past	past	ADJ
cord-010719-90379pjd	10	18	events	event	NOUN
cord-010719-90379pjd	10	19	plays	play	VERB
cord-010719-90379pjd	10	20	a	a	DET
cord-010719-90379pjd	10	21	very	very	ADV
cord-010719-90379pjd	10	22	relevant	relevant	ADJ
cord-010719-90379pjd	10	23	role	role	NOUN
cord-010719-90379pjd	10	24	in	in	ADP
cord-010719-90379pjd	10	25	the	the	DET
cord-010719-90379pjd	10	26	correct	correct	ADJ
cord-010719-90379pjd	10	27	estimation	estimation	NOUN
cord-010719-90379pjd	10	28	or	or	CCONJ
cord-010719-90379pjd	10	29	prediction	prediction	NOUN
cord-010719-90379pjd	10	30	of	of	ADP
cord-010719-90379pjd	10	31	the	the	DET
cord-010719-90379pjd	10	32	epidemic	epidemic	NOUN
cord-010719-90379pjd	10	33	evolution	evolution	NOUN
cord-010719-90379pjd	10	34	.	.	PUNCT
cord-010719-90379pjd	11	1	such	such	DET
cord-010719-90379pjd	11	2	a	a	DET
cord-010719-90379pjd	11	3	“	"	PUNCT
cord-010719-90379pjd	11	4	constraint	constraint	NOUN
cord-010719-90379pjd	11	5	”	"	PUNCT
cord-010719-90379pjd	11	6	is	be	AUX
cord-010719-90379pjd	11	7	analyzed	analyze	VERB
cord-010719-90379pjd	11	8	and	and	CCONJ
cord-010719-90379pjd	11	9	discussed	discuss	VERB
cord-010719-90379pjd	11	10	.	.	PUNCT
cord-010719-90379pjd	12	1	the	the	DET
cord-010719-90379pjd	12	2	study	study	NOUN
cord-010719-90379pjd	12	3	of	of	ADP
cord-010719-90379pjd	12	4	epidemiology	epidemiology	NOUN
cord-010719-90379pjd	12	5	,	,	PUNCT
cord-010719-90379pjd	12	6	concerning	concern	VERB
cord-010719-90379pjd	12	7	the	the	DET
cord-010719-90379pjd	12	8	dynamical	dynamical	ADJ
cord-010719-90379pjd	12	9	evolution	evolution	NOUN
cord-010719-90379pjd	12	10	of	of	ADP
cord-010719-90379pjd	12	11	diseases	disease	NOUN
cord-010719-90379pjd	12	12	within	within	ADP
cord-010719-90379pjd	12	13	a	a	DET
cord-010719-90379pjd	12	14	population	population	NOUN
cord-010719-90379pjd	12	15	,	,	PUNCT
cord-010719-90379pjd	12	16	has	have	AUX
cord-010719-90379pjd	12	17	attracted	attract	VERB
cord-010719-90379pjd	12	18	much	much	ADJ
cord-010719-90379pjd	12	19	interest	interest	NOUN
cord-010719-90379pjd	12	20	during	during	ADP
cord-010719-90379pjd	12	21	recent	recent	ADJ
cord-010719-90379pjd	12	22	years	year	NOUN
cord-010719-90379pjd	12	23	[	[	X
cord-010719-90379pjd	12	24	1	1	NUM
cord-010719-90379pjd	12	25	]	]	PUNCT
cord-010719-90379pjd	12	26	.	.	PUNCT
cord-010719-90379pjd	13	1	mathematical	mathematical	ADJ
cord-010719-90379pjd	13	2	models	model	NOUN
cord-010719-90379pjd	13	3	of	of	ADP
cord-010719-90379pjd	13	4	infectious	infectious	ADJ
cord-010719-90379pjd	13	5	diseases	disease	NOUN
cord-010719-90379pjd	13	6	have	have	AUX
cord-010719-90379pjd	13	7	been	be	AUX
cord-010719-90379pjd	13	8	developed	develop	VERB
cord-010719-90379pjd	13	9	in	in	ADP
cord-010719-90379pjd	13	10	order	order	NOUN
cord-010719-90379pjd	13	11	to	to	PART
cord-010719-90379pjd	13	12	integrate	integrate	VERB
cord-010719-90379pjd	13	13	realistic	realistic	ADJ
cord-010719-90379pjd	13	14	aspects	aspect	NOUN
cord-010719-90379pjd	13	15	of	of	ADP
cord-010719-90379pjd	13	16	disease	disease	NOUN
cord-010719-90379pjd	13	17	spreading	spread	VERB
cord-010719-90379pjd	13	18	[	[	X
cord-010719-90379pjd	13	19	2	2	NUM
cord-010719-90379pjd	13	20	]	]	PUNCT
cord-010719-90379pjd	13	21	[	[	X
cord-010719-90379pjd	13	22	3	3	X
cord-010719-90379pjd	13	23	]	]	PUNCT
cord-010719-90379pjd	13	24	[	[	X
cord-010719-90379pjd	13	25	4	4	NUM
cord-010719-90379pjd	13	26	]	]	PUNCT
cord-010719-90379pjd	13	27	[	[	X
cord-010719-90379pjd	13	28	5	5	NUM
cord-010719-90379pjd	13	29	]	]	PUNCT
cord-010719-90379pjd	13	30	.	.	PUNCT
cord-010719-90379pjd	14	1	a	a	DET
cord-010719-90379pjd	14	2	simple	simple	ADJ
cord-010719-90379pjd	14	3	and	and	CCONJ
cord-010719-90379pjd	14	4	commonly	commonly	ADV
cord-010719-90379pjd	14	5	studied	study	VERB
cord-010719-90379pjd	14	6	model	model	NOUN
cord-010719-90379pjd	14	7	,	,	PUNCT
cord-010719-90379pjd	14	8	introduced	introduce	VERB
cord-010719-90379pjd	14	9	by	by	ADP
cord-010719-90379pjd	14	10	kermack	kermack	PROPN
cord-010719-90379pjd	14	11	and	and	CCONJ
cord-010719-90379pjd	14	12	mckendrick	mckendrick	PROPN
cord-010719-90379pjd	14	13	,	,	PUNCT
cord-010719-90379pjd	14	14	is	be	AUX
cord-010719-90379pjd	14	15	the	the	DET
cord-010719-90379pjd	14	16	susceptible	susceptible	ADV
cord-010719-90379pjd	14	17	-	-	PUNCT
cord-010719-90379pjd	14	18	infected	infect	VERB
cord-010719-90379pjd	14	19	-	-	PUNCT
cord-010719-90379pjd	14	20	recovered	recover	VERB
cord-010719-90379pjd	14	21	(	(	PUNCT
cord-010719-90379pjd	14	22	sir	sir	PROPN
cord-010719-90379pjd	14	23	)	)	PUNCT
cord-010719-90379pjd	14	24	model	model	NOUN
cord-010719-90379pjd	15	1	[	[	X
cord-010719-90379pjd	15	2	6	6	NUM
cord-010719-90379pjd	15	3	]	]	PUNCT
cord-010719-90379pjd	15	4	.	.	PUNCT
cord-010719-90379pjd	16	1	in	in	ADP
cord-010719-90379pjd	16	2	this	this	DET
cord-010719-90379pjd	16	3	model	model	NOUN
cord-010719-90379pjd	16	4	,	,	PUNCT
cord-010719-90379pjd	16	5	populations	population	NOUN
cord-010719-90379pjd	16	6	can	can	AUX
cord-010719-90379pjd	16	7	be	be	AUX
cord-010719-90379pjd	16	8	in	in	ADP
cord-010719-90379pjd	16	9	each	each	PRON
cord-010719-90379pjd	16	10	of	of	ADP
cord-010719-90379pjd	16	11	three	three	NUM
cord-010719-90379pjd	16	12	states	state	NOUN
cord-010719-90379pjd	16	13	:	:	PUNCT
cord-010719-90379pjd	16	14	susceptible	susceptible	ADJ
cord-010719-90379pjd	16	15	,	,	PUNCT
cord-010719-90379pjd	16	16	infected	infect	VERB
cord-010719-90379pjd	16	17	,	,	PUNCT
cord-010719-90379pjd	16	18	and	and	CCONJ
cord-010719-90379pjd	16	19	recovered	recover	VERB
cord-010719-90379pjd	16	20	(	(	PUNCT
cord-010719-90379pjd	16	21	removed	remove	VERB
cord-010719-90379pjd	16	22	)	)	PUNCT
cord-010719-90379pjd	16	23	,	,	PUNCT
cord-010719-90379pjd	16	24	denoted	denote	VERB
cord-010719-90379pjd	16	25	by	by	ADP
cord-010719-90379pjd	16	26	s	s	PROPN
cord-010719-90379pjd	16	27	,	,	PUNCT
cord-010719-90379pjd	16	28	i	i	PROPN
cord-010719-90379pjd	16	29	,	,	PUNCT
cord-010719-90379pjd	16	30	and	and	CCONJ
cord-010719-90379pjd	16	31	r	r	NOUN
cord-010719-90379pjd	16	32	,	,	PUNCT
cord-010719-90379pjd	16	33	respectively	respectively	ADV
cord-010719-90379pjd	16	34	.	.	PUNCT
cord-010719-90379pjd	17	1	originally	originally	ADV
cord-010719-90379pjd	17	2	,	,	PUNCT
cord-010719-90379pjd	17	3	it	it	PRON
cord-010719-90379pjd	17	4	is	be	AUX
cord-010719-90379pjd	17	5	assumed	assume	VERB
cord-010719-90379pjd	17	6	that	that	SCONJ
cord-010719-90379pjd	17	7	susceptible	susceptible	ADJ
cord-010719-90379pjd	17	8	individuals	individual	NOUN
cord-010719-90379pjd	17	9	become	become	AUX
cord-010719-90379pjd	17	10	infected	infect	VERB
cord-010719-90379pjd	17	11	with	with	ADP
cord-010719-90379pjd	17	12	a	a	DET
cord-010719-90379pjd	17	13	rate	rate	NOUN
cord-010719-90379pjd	17	14	proportional	proportional	NOUN
cord-010719-90379pjd	17	15	to	to	ADP
cord-010719-90379pjd	17	16	the	the	DET
cord-010719-90379pjd	17	17	fraction	fraction	NOUN
cord-010719-90379pjd	17	18	of	of	ADP
cord-010719-90379pjd	17	19	infected	infected	ADJ
cord-010719-90379pjd	17	20	individuals	individual	NOUN
cord-010719-90379pjd	17	21	in	in	ADP
cord-010719-90379pjd	17	22	the	the	DET
cord-010719-90379pjd	17	23	overall	overall	ADJ
cord-010719-90379pjd	17	24	population	population	NOUN
cord-010719-90379pjd	17	25	(	(	PUNCT
cord-010719-90379pjd	17	26	fully	fully	ADV
cord-010719-90379pjd	17	27	mixed	mixed	ADJ
cord-010719-90379pjd	17	28	approximation	approximation	NOUN
cord-010719-90379pjd	17	29	)	)	PUNCT
cord-010719-90379pjd	17	30	and	and	CCONJ
cord-010719-90379pjd	17	31	infected	infect	VERB
cord-010719-90379pjd	17	32	individuals	individual	NOUN
cord-010719-90379pjd	17	33	recover	recover	VERB
cord-010719-90379pjd	17	34	at	at	ADP
cord-010719-90379pjd	17	35	a	a	DET
cord-010719-90379pjd	17	36	constant	constant	ADJ
cord-010719-90379pjd	17	37	rate	rate	NOUN
cord-010719-90379pjd	17	38	.	.	PUNCT
cord-010719-90379pjd	18	1	the	the	DET
cord-010719-90379pjd	18	2	epidemic	epidemic	NOUN
cord-010719-90379pjd	18	3	process	process	NOUN
cord-010719-90379pjd	18	4	presents	present	VERB
cord-010719-90379pjd	18	5	a	a	DET
cord-010719-90379pjd	18	6	(	(	PUNCT
cord-010719-90379pjd	18	7	percolation	percolation	NOUN
cord-010719-90379pjd	18	8	)	)	PUNCT
cord-010719-90379pjd	18	9	transition	transition	NOUN
cord-010719-90379pjd	18	10	between	between	ADP
cord-010719-90379pjd	18	11	a	a	DET
cord-010719-90379pjd	18	12	phase	phase	NOUN
cord-010719-90379pjd	18	13	,	,	PUNCT
cord-010719-90379pjd	18	14	in	in	ADP
cord-010719-90379pjd	18	15	which	which	PRON
cord-010719-90379pjd	18	16	the	the	DET
cord-010719-90379pjd	18	17	disease	disease	NOUN
cord-010719-90379pjd	18	18	outbreak	outbreak	NOUN
cord-010719-90379pjd	18	19	reaches	reach	VERB
cord-010719-90379pjd	18	20	a	a	DET
cord-010719-90379pjd	18	21	finite	finite	ADJ
cord-010719-90379pjd	18	22	fraction	fraction	NOUN
cord-010719-90379pjd	18	23	of	of	ADP
cord-010719-90379pjd	18	24	the	the	DET
cord-010719-90379pjd	18	25	population	population	NOUN
cord-010719-90379pjd	18	26	,	,	PUNCT
cord-010719-90379pjd	18	27	and	and	CCONJ
cord-010719-90379pjd	18	28	a	a	DET
cord-010719-90379pjd	18	29	phase	phase	NOUN
cord-010719-90379pjd	18	30	with	with	ADP
cord-010719-90379pjd	18	31	only	only	ADV
cord-010719-90379pjd	18	32	a	a	DET
cord-010719-90379pjd	18	33	limited	limited	ADJ
cord-010719-90379pjd	18	34	number	number	NOUN
cord-010719-90379pjd	18	35	of	of	ADP
cord-010719-90379pjd	18	36	infected	infect	VERB
cord-010719-90379pjd	18	37	individuals	individual	NOUN
cord-010719-90379pjd	18	38	[	[	PUNCT
cord-010719-90379pjd	18	39	7	7	NUM
cord-010719-90379pjd	18	40	,	,	PUNCT
cord-010719-90379pjd	18	41	8	8	NUM
cord-010719-90379pjd	18	42	]	]	PUNCT
cord-010719-90379pjd	18	43	.	.	PUNCT
cord-010719-90379pjd	19	1	the	the	DET
cord-010719-90379pjd	19	2	model	model	NOUN
cord-010719-90379pjd	19	3	has	have	AUX
cord-010719-90379pjd	19	4	also	also	ADV
cord-010719-90379pjd	19	5	been	be	AUX
cord-010719-90379pjd	19	6	investigated	investigate	VERB
cord-010719-90379pjd	19	7	for	for	ADP
cord-010719-90379pjd	19	8	population	population	NOUN
cord-010719-90379pjd	19	9	on	on	ADP
cord-010719-90379pjd	19	10	lattices	lattice	NOUN
cord-010719-90379pjd	19	11	(	(	PUNCT
cord-010719-90379pjd	19	12	e.g.	e.g.	ADV
cord-010719-90379pjd	19	13	,	,	PUNCT
cord-010719-90379pjd	19	14	[	[	X
cord-010719-90379pjd	19	15	9	9	NUM
cord-010719-90379pjd	19	16	]	]	PUNCT
cord-010719-90379pjd	19	17	[	[	X
cord-010719-90379pjd	19	18	10	10	NUM
cord-010719-90379pjd	19	19	]	]	PUNCT
cord-010719-90379pjd	19	20	[	[	X
cord-010719-90379pjd	19	21	11	11	NUM
cord-010719-90379pjd	19	22	]	]	PUNCT
cord-010719-90379pjd	19	23	)	)	PUNCT
cord-010719-90379pjd	19	24	or	or	CCONJ
cord-010719-90379pjd	19	25	on	on	ADP
cord-010719-90379pjd	19	26	networks	network	NOUN
cord-010719-90379pjd	19	27	(	(	PUNCT
cord-010719-90379pjd	19	28	e.g.	e.g.	ADV
cord-010719-90379pjd	19	29	,	,	PUNCT
cord-010719-90379pjd	19	30	[	[	X
cord-010719-90379pjd	19	31	12	12	NUM
cord-010719-90379pjd	19	32	]	]	PUNCT
cord-010719-90379pjd	19	33	[	[	X
cord-010719-90379pjd	19	34	13	13	NUM
cord-010719-90379pjd	19	35	]	]	PUNCT
cord-010719-90379pjd	19	36	[	[	X
cord-010719-90379pjd	19	37	14	14	NUM
cord-010719-90379pjd	19	38	]	]	PUNCT
cord-010719-90379pjd	19	39	)	)	PUNCT
cord-010719-90379pjd	19	40	.	.	PUNCT
cord-010719-90379pjd	20	1	for	for	ADP
cord-010719-90379pjd	20	2	simplicity	simplicity	NOUN
cord-010719-90379pjd	20	3	,	,	PUNCT
cord-010719-90379pjd	20	4	we	we	PRON
cord-010719-90379pjd	20	5	will	will	AUX
cord-010719-90379pjd	20	6	keep	keep	VERB
cord-010719-90379pjd	20	7	the	the	DET
cord-010719-90379pjd	20	8	"	"	PUNCT
cord-010719-90379pjd	20	9	medical	medical	ADJ
cord-010719-90379pjd	20	10	epidemic	epidemic	NOUN
cord-010719-90379pjd	20	11	"	"	PUNCT
cord-010719-90379pjd	20	12	vocabulary	vocabulary	NOUN
cord-010719-90379pjd	20	13	hereafter	hereafter	ADV
cord-010719-90379pjd	20	14	.	.	PUNCT
cord-010719-90379pjd	21	1	however	however	ADV
cord-010719-90379pjd	21	2	,	,	PUNCT
cord-010719-90379pjd	21	3	the	the	DET
cord-010719-90379pjd	21	4	model	model	NOUN
cord-010719-90379pjd	21	5	has	have	AUX
cord-010719-90379pjd	21	6	also	also	ADV
cord-010719-90379pjd	21	7	been	be	AUX
cord-010719-90379pjd	21	8	interesting	interesting	ADJ
cord-010719-90379pjd	21	9	for	for	ADP
cord-010719-90379pjd	21	10	describing	describe	VERB
cord-010719-90379pjd	21	11	nonmedical	nonmedical	ADJ
cord-010719-90379pjd	21	12	epidemics	epidemic	NOUN
cord-010719-90379pjd	21	13	,	,	PUNCT
cord-010719-90379pjd	21	14	such	such	ADJ
cord-010719-90379pjd	21	15	as	as	ADP
cord-010719-90379pjd	21	16	for	for	ADP
cord-010719-90379pjd	21	17	financial	financial	ADJ
cord-010719-90379pjd	21	18	bubbles	bubble	NOUN
cord-010719-90379pjd	21	19	[	[	PUNCT
cord-010719-90379pjd	21	20	15	15	NUM
cord-010719-90379pjd	21	21	,	,	PUNCT
cord-010719-90379pjd	21	22	16	16	NUM
cord-010719-90379pjd	21	23	]	]	PUNCT
cord-010719-90379pjd	21	24	,	,	PUNCT
cord-010719-90379pjd	21	25	migration	migration	NOUN
cord-010719-90379pjd	21	26	[	[	PUNCT
cord-010719-90379pjd	21	27	17	17	NUM
cord-010719-90379pjd	21	28	]	]	PUNCT
cord-010719-90379pjd	21	29	,	,	PUNCT
cord-010719-90379pjd	21	30	opinion	opinion	NOUN
cord-010719-90379pjd	21	31	formation	formation	NOUN
cord-010719-90379pjd	21	32	[	[	PUNCT
cord-010719-90379pjd	21	33	18	18	NUM
cord-010719-90379pjd	21	34	,	,	PUNCT
cord-010719-90379pjd	21	35	19	19	NUM
cord-010719-90379pjd	21	36	]	]	PUNCT
cord-010719-90379pjd	21	37	,	,	PUNCT
cord-010719-90379pjd	21	38	or	or	CCONJ
cord-010719-90379pjd	21	39	internet	internet	NOUN
cord-010719-90379pjd	21	40	"	"	PUNCT
cord-010719-90379pjd	21	41	worm	worm	NOUN
cord-010719-90379pjd	21	42	propagation	propagation	NOUN
cord-010719-90379pjd	21	43	"	"	PUNCT
cord-010719-90379pjd	22	1	[	[	PUNCT
cord-010719-90379pjd	22	2	20	20	NUM
cord-010719-90379pjd	22	3	]	]	PUNCT
cord-010719-90379pjd	22	4	[	[	X
cord-010719-90379pjd	22	5	21	21	NUM
cord-010719-90379pjd	22	6	]	]	PUNCT
cord-010719-90379pjd	22	7	[	[	X
cord-010719-90379pjd	22	8	22	22	NUM
cord-010719-90379pjd	22	9	]	]	PUNCT
cord-010719-90379pjd	22	10	.	.	PUNCT
cord-010719-90379pjd	23	1	sir	sir	NOUN
cord-010719-90379pjd	23	2	models	model	VERB
cord-010719-90379pjd	23	3	with	with	ADP
cord-010719-90379pjd	23	4	distributed	distribute	VERB
cord-010719-90379pjd	23	5	delay	delay	NOUN
cord-010719-90379pjd	23	6	and	and	CCONJ
cord-010719-90379pjd	23	7	with	with	ADP
cord-010719-90379pjd	23	8	discrete	discrete	ADJ
cord-010719-90379pjd	23	9	delay	delay	NOUN
cord-010719-90379pjd	23	10	have	have	AUX
cord-010719-90379pjd	23	11	also	also	ADV
cord-010719-90379pjd	23	12	been	be	AUX
cord-010719-90379pjd	23	13	studied	study	VERB
cord-010719-90379pjd	23	14	[	[	SYM
cord-010719-90379pjd	23	15	23	23	NUM
cord-010719-90379pjd	23	16	,	,	PUNCT
cord-010719-90379pjd	23	17	24	24	NUM
cord-010719-90379pjd	23	18	]	]	PUNCT
cord-010719-90379pjd	23	19	.	.	PUNCT
cord-010719-90379pjd	24	1	in	in	ADP
cord-010719-90379pjd	24	2	the	the	DET
cord-010719-90379pjd	24	3	usual	usual	ADJ
cord-010719-90379pjd	24	4	sir	sir	NOUN
cord-010719-90379pjd	24	5	model	model	NOUN
cord-010719-90379pjd	24	6	,	,	PUNCT
cord-010719-90379pjd	24	7	it	it	PRON
cord-010719-90379pjd	24	8	is	be	AUX
cord-010719-90379pjd	24	9	assumed	assume	VERB
cord-010719-90379pjd	24	10	that	that	SCONJ
cord-010719-90379pjd	24	11	all	all	DET
cord-010719-90379pjd	24	12	contacts	contact	NOUN
cord-010719-90379pjd	24	13	transmit	transmit	VERB
cord-010719-90379pjd	24	14	the	the	DET
cord-010719-90379pjd	24	15	disease	disease	NOUN
cord-010719-90379pjd	24	16	with	with	ADP
cord-010719-90379pjd	24	17	the	the	DET
cord-010719-90379pjd	24	18	same	same	ADJ
cord-010719-90379pjd	24	19	probability	probability	NOUN
cord-010719-90379pjd	24	20	.	.	PUNCT
cord-010719-90379pjd	25	1	moreover	moreover	ADV
cord-010719-90379pjd	25	2	,	,	PUNCT
cord-010719-90379pjd	25	3	the	the	DET
cord-010719-90379pjd	25	4	transmission	transmission	NOUN
cord-010719-90379pjd	25	5	and	and	CCONJ
cord-010719-90379pjd	25	6	recovery	recovery	NOUN
cord-010719-90379pjd	25	7	coefficients	coefficient	NOUN
cord-010719-90379pjd	25	8	are	be	AUX
cord-010719-90379pjd	25	9	constant	constant	ADJ
cord-010719-90379pjd	25	10	.	.	PUNCT
cord-010719-90379pjd	26	1	hence	hence	ADV
cord-010719-90379pjd	26	2	the	the	DET
cord-010719-90379pjd	26	3	state	state	NOUN
cord-010719-90379pjd	26	4	of	of	ADP
cord-010719-90379pjd	26	5	system	system	NOUN
cord-010719-90379pjd	26	6	at	at	ADP
cord-010719-90379pjd	26	7	each	each	DET
cord-010719-90379pjd	26	8	time	time	NOUN
cord-010719-90379pjd	26	9	does	do	AUX
cord-010719-90379pjd	26	10	not	not	PART
cord-010719-90379pjd	26	11	depend	depend	VERB
cord-010719-90379pjd	26	12	on	on	ADP
cord-010719-90379pjd	26	13	the	the	DET
cord-010719-90379pjd	26	14	previous	previous	ADJ
cord-010719-90379pjd	26	15	history	history	NOUN
cord-010719-90379pjd	26	16	of	of	ADP
cord-010719-90379pjd	26	17	the	the	DET
cord-010719-90379pjd	26	18	system	system	NOUN
cord-010719-90379pjd	26	19	:	:	PUNCT
cord-010719-90379pjd	26	20	it	it	PRON
cord-010719-90379pjd	26	21	is	be	AUX
cord-010719-90379pjd	26	22	a	a	DET
cord-010719-90379pjd	26	23	memoryless	memoryless	NOUN
cord-010719-90379pjd	26	24	,	,	PUNCT
cord-010719-90379pjd	26	25	so	so	ADV
cord-010719-90379pjd	26	26	-	-	PUNCT
cord-010719-90379pjd	26	27	called	call	VERB
cord-010719-90379pjd	26	28	markovian	markovian	ADJ
cord-010719-90379pjd	26	29	,	,	PUNCT
cord-010719-90379pjd	26	30	process	process	NOUN
cord-010719-90379pjd	26	31	.	.	PUNCT
cord-010719-90379pjd	27	1	however	however	ADV
cord-010719-90379pjd	27	2	,	,	PUNCT
cord-010719-90379pjd	27	3	real	real	ADJ
cord-010719-90379pjd	27	4	surveys	survey	NOUN
cord-010719-90379pjd	27	5	show	show	VERB
cord-010719-90379pjd	27	6	evidence	evidence	NOUN
cord-010719-90379pjd	27	7	of	of	ADP
cord-010719-90379pjd	27	8	a	a	DET
cord-010719-90379pjd	27	9	non	non	ADJ
cord-010719-90379pjd	27	10	-	-	ADJ
cord-010719-90379pjd	27	11	markovian	markovian	ADJ
cord-010719-90379pjd	27	12	spreading	spread	VERB
cord-010719-90379pjd	27	13	process	process	NOUN
cord-010719-90379pjd	27	14	[	[	PUNCT
cord-010719-90379pjd	27	15	25	25	NUM
cord-010719-90379pjd	27	16	,	,	PUNCT
cord-010719-90379pjd	27	17	26	26	NUM
cord-010719-90379pjd	27	18	]	]	PUNCT
cord-010719-90379pjd	27	19	in	in	ADP
cord-010719-90379pjd	27	20	agreement	agreement	NOUN
cord-010719-90379pjd	27	21	with	with	ADP
cord-010719-90379pjd	27	22	common	common	ADJ
cord-010719-90379pjd	27	23	expectation	expectation	NOUN
cord-010719-90379pjd	27	24	.	.	PUNCT
cord-010719-90379pjd	28	1	the	the	DET
cord-010719-90379pjd	28	2	epidemic	epidemic	NOUN
cord-010719-90379pjd	28	3	processes	process	VERB
cord-010719-90379pjd	28	4	evolution	evolution	NOUN
cord-010719-90379pjd	28	5	and	and	CCONJ
cord-010719-90379pjd	28	6	control	control	NOUN
cord-010719-90379pjd	28	7	,	,	PUNCT
cord-010719-90379pjd	28	8	in	in	ADP
cord-010719-90379pjd	28	9	human	human	ADJ
cord-010719-90379pjd	28	10	societies	society	NOUN
cord-010719-90379pjd	28	11	,	,	PUNCT
cord-010719-90379pjd	28	12	can	can	AUX
cord-010719-90379pjd	28	13	not	not	PART
cord-010719-90379pjd	28	14	be	be	AUX
cord-010719-90379pjd	28	15	considered	consider	VERB
cord-010719-90379pjd	28	16	without	without	ADP
cord-010719-90379pjd	28	17	any	any	DET
cord-010719-90379pjd	28	18	memory	memory	NOUN
cord-010719-90379pjd	28	19	effect	effect	NOUN
cord-010719-90379pjd	28	20	.	.	PUNCT
cord-010719-90379pjd	29	1	when	when	SCONJ
cord-010719-90379pjd	29	2	a	a	DET
cord-010719-90379pjd	29	3	disease	disease	NOUN
cord-010719-90379pjd	29	4	spreads	spread	VERB
cord-010719-90379pjd	29	5	within	within	ADP
cord-010719-90379pjd	29	6	a	a	DET
cord-010719-90379pjd	29	7	human	human	ADJ
cord-010719-90379pjd	29	8	population	population	NOUN
cord-010719-90379pjd	29	9	,	,	PUNCT
cord-010719-90379pjd	29	10	the	the	DET
cord-010719-90379pjd	29	11	experience	experience	NOUN
cord-010719-90379pjd	29	12	or	or	CCONJ
cord-010719-90379pjd	29	13	knowledge	knowledge	NOUN
cord-010719-90379pjd	29	14	of	of	ADP
cord-010719-90379pjd	29	15	individuals	individual	NOUN
cord-010719-90379pjd	29	16	about	about	ADP
cord-010719-90379pjd	29	17	that	that	DET
cord-010719-90379pjd	29	18	disease	disease	NOUN
cord-010719-90379pjd	29	19	should	should	AUX
cord-010719-90379pjd	29	20	affect	affect	VERB
cord-010719-90379pjd	29	21	their	their	PRON
cord-010719-90379pjd	29	22	response	response	NOUN
cord-010719-90379pjd	29	23	[	[	X
cord-010719-90379pjd	29	24	5	5	NUM
cord-010719-90379pjd	29	25	]	]	PUNCT
cord-010719-90379pjd	29	26	.	.	PUNCT
cord-010719-90379pjd	30	1	if	if	SCONJ
cord-010719-90379pjd	30	2	people	people	NOUN
cord-010719-90379pjd	30	3	know	know	VERB
cord-010719-90379pjd	30	4	about	about	ADP
cord-010719-90379pjd	30	5	the	the	DET
cord-010719-90379pjd	30	6	history	history	NOUN
cord-010719-90379pjd	30	7	of	of	ADP
cord-010719-90379pjd	30	8	a	a	DET
cord-010719-90379pjd	30	9	certain	certain	ADJ
cord-010719-90379pjd	30	10	disease	disease	NOUN
cord-010719-90379pjd	30	11	in	in	ADP
cord-010719-90379pjd	30	12	the	the	DET
cord-010719-90379pjd	30	13	area	area	NOUN
cord-010719-90379pjd	30	14	where	where	SCONJ
cord-010719-90379pjd	30	15	they	they	PRON
cord-010719-90379pjd	30	16	live	live	VERB
cord-010719-90379pjd	30	17	,	,	PUNCT
cord-010719-90379pjd	30	18	they	they	PRON
cord-010719-90379pjd	30	19	use	use	VERB
cord-010719-90379pjd	30	20	different	different	ADJ
cord-010719-90379pjd	30	21	precautions	precaution	NOUN
cord-010719-90379pjd	30	22	,	,	PUNCT
cord-010719-90379pjd	30	23	such	such	ADJ
cord-010719-90379pjd	30	24	as	as	ADP
cord-010719-90379pjd	30	25	vaccination	vaccination	NOUN
cord-010719-90379pjd	30	26	,	,	PUNCT
cord-010719-90379pjd	30	27	when	when	SCONJ
cord-010719-90379pjd	30	28	possible	possible	ADJ
cord-010719-90379pjd	30	29	.	.	PUNCT
cord-010719-90379pjd	31	1	thus	thus	ADV
cord-010719-90379pjd	31	2	,	,	PUNCT
cord-010719-90379pjd	31	3	some	some	DET
cord-010719-90379pjd	31	4	endogenous	endogenous	ADJ
cord-010719-90379pjd	31	5	controlled	control	VERB
cord-010719-90379pjd	31	6	suppression	suppression	NOUN
cord-010719-90379pjd	31	7	of	of	ADP
cord-010719-90379pjd	31	8	the	the	DET
cord-010719-90379pjd	31	9	spreading	spreading	NOUN
cord-010719-90379pjd	31	10	is	be	AUX
cord-010719-90379pjd	31	11	expected	expect	VERB
cord-010719-90379pjd	31	12	,	,	PUNCT
cord-010719-90379pjd	31	13	although	although	SCONJ
cord-010719-90379pjd	31	14	other	other	ADJ
cord-010719-90379pjd	31	15	factors	factor	NOUN
cord-010719-90379pjd	31	16	can	can	AUX
cord-010719-90379pjd	31	17	help	help	VERB
cord-010719-90379pjd	31	18	[	[	X
cord-010719-90379pjd	31	19	27	27	NUM
cord-010719-90379pjd	31	20	]	]	PUNCT
cord-010719-90379pjd	31	21	[	[	X
cord-010719-90379pjd	31	22	28	28	NUM
cord-010719-90379pjd	31	23	]	]	PUNCT
cord-010719-90379pjd	31	24	[	[	X
cord-010719-90379pjd	31	25	29	29	NUM
cord-010719-90379pjd	31	26	]	]	PUNCT
cord-010719-90379pjd	31	27	.	.	PUNCT
cord-010719-90379pjd	32	1	however	however	ADV
cord-010719-90379pjd	32	2	,	,	PUNCT
cord-010719-90379pjd	32	3	knowledge	knowledge	NOUN
cord-010719-90379pjd	32	4	about	about	ADP
cord-010719-90379pjd	32	5	the	the	DET
cord-010719-90379pjd	32	6	history	history	NOUN
cord-010719-90379pjd	32	7	of	of	ADP
cord-010719-90379pjd	32	8	a	a	DET
cord-010719-90379pjd	32	9	disease	disease	NOUN
cord-010719-90379pjd	32	10	does	do	AUX
cord-010719-90379pjd	32	11	not	not	PART
cord-010719-90379pjd	32	12	have	have	VERB
cord-010719-90379pjd	32	13	the	the	DET
cord-010719-90379pjd	32	14	same	same	ADJ
cord-010719-90379pjd	32	15	influence	influence	NOUN
cord-010719-90379pjd	32	16	at	at	ADP
cord-010719-90379pjd	32	17	all	all	DET
cord-010719-90379pjd	32	18	times	time	NOUN
cord-010719-90379pjd	32	19	.	.	PUNCT
cord-010719-90379pjd	33	1	experience	experience	NOUN
cord-010719-90379pjd	33	2	about	about	ADP
cord-010719-90379pjd	33	3	the	the	DET
cord-010719-90379pjd	33	4	prevalence	prevalence	NOUN
cord-010719-90379pjd	33	5	of	of	ADP
cord-010719-90379pjd	33	6	a	a	DET
cord-010719-90379pjd	33	7	disease	disease	NOUN
cord-010719-90379pjd	33	8	and	and	CCONJ
cord-010719-90379pjd	33	9	precautions	precaution	NOUN
cord-010719-90379pjd	33	10	related	relate	VERB
cord-010719-90379pjd	33	11	to	to	ADP
cord-010719-90379pjd	33	12	the	the	DET
cord-010719-90379pjd	33	13	"	"	PUNCT
cord-010719-90379pjd	33	14	old	old	ADJ
cord-010719-90379pjd	33	15	times	time	NOUN
cord-010719-90379pjd	33	16	"	"	PUNCT
cord-010719-90379pjd	33	17	are	be	AUX
cord-010719-90379pjd	33	18	not	not	PART
cord-010719-90379pjd	33	19	always	always	ADV
cord-010719-90379pjd	33	20	applicable	applicable	ADJ
cord-010719-90379pjd	33	21	or	or	CCONJ
cord-010719-90379pjd	33	22	recommended	recommend	VERB
cord-010719-90379pjd	33	23	,	,	PUNCT
cord-010719-90379pjd	33	24	hence	hence	ADV
cord-010719-90379pjd	33	25	people	people	NOUN
cord-010719-90379pjd	33	26	tend	tend	VERB
cord-010719-90379pjd	33	27	to	to	PART
cord-010719-90379pjd	33	28	follow	follow	VERB
cord-010719-90379pjd	33	29	new	new	ADJ
cord-010719-90379pjd	33	30	strategies	strategy	NOUN
cord-010719-90379pjd	33	31	against	against	ADP
cord-010719-90379pjd	33	32	the	the	DET
cord-010719-90379pjd	33	33	diseases	disease	NOUN
cord-010719-90379pjd	33	34	.	.	PUNCT
cord-010719-90379pjd	34	1	in	in	ADP
cord-010719-90379pjd	34	2	other	other	ADJ
cord-010719-90379pjd	34	3	words	word	NOUN
cord-010719-90379pjd	34	4	,	,	PUNCT
cord-010719-90379pjd	34	5	memory	memory	NOUN
cord-010719-90379pjd	34	6	of	of	ADP
cord-010719-90379pjd	34	7	the	the	DET
cord-010719-90379pjd	34	8	earlier	early	ADJ
cord-010719-90379pjd	34	9	times	time	NOUN
cord-010719-90379pjd	34	10	could	could	AUX
cord-010719-90379pjd	34	11	have	have	VERB
cord-010719-90379pjd	34	12	less	less	ADJ
cord-010719-90379pjd	34	13	effect	effect	NOUN
cord-010719-90379pjd	34	14	on	on	ADP
cord-010719-90379pjd	34	15	the	the	DET
cord-010719-90379pjd	34	16	present	present	ADJ
cord-010719-90379pjd	34	17	situation	situation	NOUN
cord-010719-90379pjd	34	18	,	,	PUNCT
cord-010719-90379pjd	34	19	as	as	SCONJ
cord-010719-90379pjd	34	20	compared	compare	VERB
cord-010719-90379pjd	34	21	to	to	ADP
cord-010719-90379pjd	34	22	more	more	ADJ
cord-010719-90379pjd	34	23	recent	recent	ADJ
cord-010719-90379pjd	34	24	times	time	NOUN
cord-010719-90379pjd	34	25	.	.	PUNCT
cord-010719-90379pjd	35	1	it	it	PRON
cord-010719-90379pjd	35	2	can	can	AUX
cord-010719-90379pjd	35	3	be	be	AUX
cord-010719-90379pjd	35	4	expected	expect	VERB
cord-010719-90379pjd	35	5	that	that	SCONJ
cord-010719-90379pjd	35	6	long	long	ADJ
cord-010719-90379pjd	35	7	-	-	PUNCT
cord-010719-90379pjd	35	8	range	range	NOUN
cord-010719-90379pjd	35	9	memory	memory	NOUN
cord-010719-90379pjd	35	10	effects	effect	NOUN
cord-010719-90379pjd	35	11	decay	decay	VERB
cord-010719-90379pjd	35	12	in	in	ADP
cord-010719-90379pjd	35	13	time	time	NOUN
cord-010719-90379pjd	35	14	more	more	ADV
cord-010719-90379pjd	35	15	slowly	slowly	ADV
cord-010719-90379pjd	35	16	than	than	ADP
cord-010719-90379pjd	35	17	an	an	DET
cord-010719-90379pjd	35	18	exponential	exponential	ADJ
cord-010719-90379pjd	35	19	decay	decay	NOUN
cord-010719-90379pjd	35	20	,	,	PUNCT
cord-010719-90379pjd	35	21	but	but	CCONJ
cord-010719-90379pjd	35	22	can	can	AUX
cord-010719-90379pjd	35	23	typically	typically	ADV
cord-010719-90379pjd	35	24	behave	behave	VERB
cord-010719-90379pjd	35	25	like	like	ADP
cord-010719-90379pjd	35	26	a	a	DET
cord-010719-90379pjd	35	27	power	power	NOUN
cord-010719-90379pjd	35	28	-	-	PUNCT
cord-010719-90379pjd	35	29	law	law	NOUN
cord-010719-90379pjd	35	30	damping	damp	VERB
cord-010719-90379pjd	35	31	function	function	NOUN
cord-010719-90379pjd	35	32	.	.	PUNCT
cord-010719-90379pjd	36	1	while	while	SCONJ
cord-010719-90379pjd	36	2	much	much	ADJ
cord-010719-90379pjd	36	3	effort	effort	NOUN
cord-010719-90379pjd	36	4	has	have	AUX
cord-010719-90379pjd	36	5	been	be	AUX
cord-010719-90379pjd	36	6	made	make	VERB
cord-010719-90379pjd	36	7	so	so	ADV
cord-010719-90379pjd	36	8	far	far	ADV
cord-010719-90379pjd	36	9	to	to	PART
cord-010719-90379pjd	36	10	determine	determine	VERB
cord-010719-90379pjd	36	11	exact	exact	ADJ
cord-010719-90379pjd	36	12	epidemic	epidemic	NOUN
cord-010719-90379pjd	36	13	thresholds	threshold	NOUN
cord-010719-90379pjd	36	14	in	in	ADP
cord-010719-90379pjd	36	15	markovian	markovian	ADJ
cord-010719-90379pjd	36	16	epidemic	epidemic	NOUN
cord-010719-90379pjd	36	17	models	model	NOUN
cord-010719-90379pjd	36	18	[	[	X
cord-010719-90379pjd	36	19	30	30	NUM
cord-010719-90379pjd	36	20	]	]	PUNCT
cord-010719-90379pjd	36	21	[	[	X
cord-010719-90379pjd	36	22	31	31	NUM
cord-010719-90379pjd	36	23	]	]	PUNCT
cord-010719-90379pjd	36	24	[	[	X
cord-010719-90379pjd	36	25	32	32	NUM
cord-010719-90379pjd	36	26	]	]	PUNCT
cord-010719-90379pjd	36	27	[	[	X
cord-010719-90379pjd	36	28	33	33	NUM
cord-010719-90379pjd	36	29	]	]	PUNCT
cord-010719-90379pjd	36	30	[	[	X
cord-010719-90379pjd	36	31	34	34	NUM
cord-010719-90379pjd	36	32	]	]	PUNCT
cord-010719-90379pjd	36	33	,	,	PUNCT
cord-010719-90379pjd	36	34	few	few	ADJ
cord-010719-90379pjd	36	35	works	work	NOUN
cord-010719-90379pjd	36	36	have	have	AUX
cord-010719-90379pjd	36	37	been	be	AUX
cord-010719-90379pjd	36	38	devoted	devote	VERB
cord-010719-90379pjd	36	39	to	to	PART
cord-010719-90379pjd	36	40	study	study	VERB
cord-010719-90379pjd	36	41	the	the	DET
cord-010719-90379pjd	36	42	non	non	ADJ
cord-010719-90379pjd	36	43	-	-	ADJ
cord-010719-90379pjd	36	44	markovian	markovian	ADJ
cord-010719-90379pjd	36	45	aspects	aspect	NOUN
cord-010719-90379pjd	36	46	of	of	ADP
cord-010719-90379pjd	36	47	epidemic	epidemic	NOUN
cord-010719-90379pjd	36	48	processes	process	NOUN
cord-010719-90379pjd	36	49	[	[	PUNCT
cord-010719-90379pjd	36	50	35	35	NUM
cord-010719-90379pjd	36	51	,	,	PUNCT
cord-010719-90379pjd	36	52	36	36	NUM
cord-010719-90379pjd	36	53	]	]	PUNCT
cord-010719-90379pjd	36	54	.	.	PUNCT
cord-010719-90379pjd	37	1	furthermore	furthermore	ADV
cord-010719-90379pjd	37	2	,	,	PUNCT
cord-010719-90379pjd	37	3	in	in	ADP
cord-010719-90379pjd	37	4	this	this	DET
cord-010719-90379pjd	37	5	work	work	NOUN
cord-010719-90379pjd	37	6	we	we	PRON
cord-010719-90379pjd	37	7	focus	focus	VERB
cord-010719-90379pjd	37	8	on	on	ADP
cord-010719-90379pjd	37	9	long	long	ADJ
cord-010719-90379pjd	37	10	-	-	PUNCT
cord-010719-90379pjd	37	11	range	range	NOUN
cord-010719-90379pjd	37	12	memory	memory	NOUN
cord-010719-90379pjd	37	13	effects	effect	NOUN
cord-010719-90379pjd	37	14	,	,	PUNCT
cord-010719-90379pjd	37	15	which	which	PRON
cord-010719-90379pjd	37	16	means	mean	VERB
cord-010719-90379pjd	37	17	arbitrarily	arbitrarily	ADV
cord-010719-90379pjd	37	18	long	long	ADJ
cord-010719-90379pjd	37	19	history	history	NOUN
cord-010719-90379pjd	37	20	can	can	AUX
cord-010719-90379pjd	37	21	be	be	AUX
cord-010719-90379pjd	37	22	included	include	VERB
cord-010719-90379pjd	37	23	.	.	PUNCT
cord-010719-90379pjd	38	1	that	that	PRON
cord-010719-90379pjd	38	2	is	be	AUX
cord-010719-90379pjd	38	3	in	in	ADP
cord-010719-90379pjd	38	4	contrast	contrast	NOUN
cord-010719-90379pjd	38	5	to	to	ADP
cord-010719-90379pjd	38	6	short	short	ADJ
cord-010719-90379pjd	38	7	-	-	PUNCT
cord-010719-90379pjd	38	8	term	term	NOUN
cord-010719-90379pjd	38	9	memory	memory	NOUN
cord-010719-90379pjd	38	10	effects	effect	NOUN
cord-010719-90379pjd	38	11	,	,	PUNCT
cord-010719-90379pjd	38	12	which	which	PRON
cord-010719-90379pjd	38	13	have	have	AUX
cord-010719-90379pjd	38	14	been	be	AUX
cord-010719-90379pjd	38	15	extensively	extensively	ADV
cord-010719-90379pjd	38	16	studied	study	VERB
cord-010719-90379pjd	38	17	.	.	PUNCT
cord-010719-90379pjd	39	1	for	for	ADP
cord-010719-90379pjd	39	2	instance	instance	NOUN
cord-010719-90379pjd	39	3	,	,	PUNCT
cord-010719-90379pjd	39	4	dodds	dodd	NOUN
cord-010719-90379pjd	39	5	and	and	CCONJ
cord-010719-90379pjd	39	6	watts	watts	PROPN
cord-010719-90379pjd	39	7	[	[	PUNCT
cord-010719-90379pjd	39	8	37	37	NUM
cord-010719-90379pjd	39	9	]	]	PUNCT
cord-010719-90379pjd	39	10	introduced	introduce	VERB
cord-010719-90379pjd	39	11	a	a	DET
cord-010719-90379pjd	39	12	general	general	ADJ
cord-010719-90379pjd	39	13	model	model	NOUN
cord-010719-90379pjd	39	14	of	of	ADP
cord-010719-90379pjd	39	15	contagion	contagion	NOUN
cord-010719-90379pjd	39	16	considering	consider	VERB
cord-010719-90379pjd	39	17	memory	memory	NOUN
cord-010719-90379pjd	39	18	of	of	ADP
cord-010719-90379pjd	39	19	past	past	ADJ
cord-010719-90379pjd	39	20	exposures	exposure	NOUN
cord-010719-90379pjd	39	21	to	to	ADP
cord-010719-90379pjd	39	22	a	a	DET
cord-010719-90379pjd	39	23	contagious	contagious	ADJ
cord-010719-90379pjd	39	24	influence	influence	NOUN
cord-010719-90379pjd	39	25	.	.	PUNCT
cord-010719-90379pjd	40	1	the	the	DET
cord-010719-90379pjd	40	2	authors	author	NOUN
cord-010719-90379pjd	40	3	have	have	AUX
cord-010719-90379pjd	40	4	argued	argue	VERB
cord-010719-90379pjd	40	5	that	that	SCONJ
cord-010719-90379pjd	40	6	their	their	PRON
cord-010719-90379pjd	40	7	model	model	NOUN
cord-010719-90379pjd	40	8	can	can	AUX
cord-010719-90379pjd	40	9	fall	fall	VERB
cord-010719-90379pjd	40	10	into	into	ADP
cord-010719-90379pjd	40	11	one	one	NUM
cord-010719-90379pjd	40	12	of	of	ADP
cord-010719-90379pjd	40	13	three	three	NUM
cord-010719-90379pjd	40	14	universal	universal	ADJ
cord-010719-90379pjd	40	15	classes	class	NOUN
cord-010719-90379pjd	40	16	,	,	PUNCT
cord-010719-90379pjd	40	17	due	due	ADP
cord-010719-90379pjd	40	18	to	to	ADP
cord-010719-90379pjd	40	19	the	the	DET
cord-010719-90379pjd	40	20	behavior	behavior	NOUN
cord-010719-90379pjd	40	21	of	of	ADP
cord-010719-90379pjd	40	22	fixed	fix	VERB
cord-010719-90379pjd	40	23	point	point	NOUN
cord-010719-90379pjd	40	24	curves	curve	NOUN
cord-010719-90379pjd	40	25	.	.	PUNCT
cord-010719-90379pjd	41	1	also	also	ADV
cord-010719-90379pjd	41	2	,	,	PUNCT
cord-010719-90379pjd	41	3	in	in	ADP
cord-010719-90379pjd	41	4	[	[	X
cord-010719-90379pjd	41	5	38	38	NUM
cord-010719-90379pjd	41	6	]	]	PUNCT
cord-010719-90379pjd	41	7	[	[	X
cord-010719-90379pjd	41	8	39	39	NUM
cord-010719-90379pjd	41	9	]	]	PUNCT
cord-010719-90379pjd	41	10	[	[	X
cord-010719-90379pjd	41	11	40	40	NUM
cord-010719-90379pjd	41	12	]	]	PUNCT
cord-010719-90379pjd	41	13	,	,	PUNCT
cord-010719-90379pjd	41	14	the	the	DET
cord-010719-90379pjd	41	15	authors	author	NOUN
cord-010719-90379pjd	41	16	consider	consider	VERB
cord-010719-90379pjd	41	17	"	"	PUNCT
cord-010719-90379pjd	41	18	implicit	implicit	ADJ
cord-010719-90379pjd	41	19	memory	memory	NOUN
cord-010719-90379pjd	41	20	"	"	PUNCT
cord-010719-90379pjd	41	21	by	by	ADP
cord-010719-90379pjd	41	22	applying	apply	VERB
cord-010719-90379pjd	41	23	asynchronous	asynchronous	ADJ
cord-010719-90379pjd	41	24	adapting	adapting	NOUN
cord-010719-90379pjd	41	25	in	in	ADP
cord-010719-90379pjd	41	26	disease	disease	NOUN
cord-010719-90379pjd	41	27	propagation	propagation	NOUN
cord-010719-90379pjd	41	28	.	.	PUNCT
cord-010719-90379pjd	42	1	they	they	PRON
cord-010719-90379pjd	42	2	show	show	VERB
cord-010719-90379pjd	42	3	that	that	SCONJ
cord-010719-90379pjd	42	4	this	this	DET
cord-010719-90379pjd	42	5	type	type	NOUN
cord-010719-90379pjd	42	6	of	of	ADP
cord-010719-90379pjd	42	7	memory	memory	NOUN
cord-010719-90379pjd	42	8	can	can	AUX
cord-010719-90379pjd	42	9	lead	lead	VERB
cord-010719-90379pjd	42	10	to	to	ADP
cord-010719-90379pjd	42	11	a	a	DET
cord-010719-90379pjd	42	12	first	first	ADJ
cord-010719-90379pjd	42	13	-	-	PUNCT
cord-010719-90379pjd	42	14	order	order	NOUN
cord-010719-90379pjd	42	15	phase	phase	NOUN
cord-010719-90379pjd	42	16	transition	transition	NOUN
cord-010719-90379pjd	42	17	in	in	ADP
cord-010719-90379pjd	42	18	outbreaks	outbreak	NOUN
cord-010719-90379pjd	42	19	,	,	PUNCT
cord-010719-90379pjd	42	20	thus	thus	ADV
cord-010719-90379pjd	42	21	hysteresis	hysteresis	NOUN
cord-010719-90379pjd	42	22	can	can	AUX
cord-010719-90379pjd	42	23	arise	arise	VERB
cord-010719-90379pjd	42	24	in	in	ADP
cord-010719-90379pjd	42	25	such	such	ADJ
cord-010719-90379pjd	42	26	models	model	NOUN
cord-010719-90379pjd	42	27	[	[	X
cord-010719-90379pjd	42	28	40	40	NUM
cord-010719-90379pjd	42	29	]	]	PUNCT
cord-010719-90379pjd	42	30	.	.	PUNCT
cord-010719-90379pjd	43	1	it	it	PRON
cord-010719-90379pjd	43	2	is	be	AUX
cord-010719-90379pjd	43	3	here	here	ADV
cord-010719-90379pjd	43	4	briefly	briefly	ADV
cord-010719-90379pjd	43	5	recalled	recall	VERB
cord-010719-90379pjd	43	6	that	that	SCONJ
cord-010719-90379pjd	43	7	fractional	fractional	ADJ
cord-010719-90379pjd	43	8	calculus	calculus	NOUN
cord-010719-90379pjd	43	9	is	be	AUX
cord-010719-90379pjd	43	10	a	a	DET
cord-010719-90379pjd	43	11	valuable	valuable	ADJ
cord-010719-90379pjd	43	12	tool	tool	NOUN
cord-010719-90379pjd	43	13	to	to	PART
cord-010719-90379pjd	43	14	observe	observe	VERB
cord-010719-90379pjd	43	15	the	the	DET
cord-010719-90379pjd	43	16	influence	influence	NOUN
cord-010719-90379pjd	43	17	of	of	ADP
cord-010719-90379pjd	43	18	memory	memory	NOUN
cord-010719-90379pjd	43	19	effects	effect	NOUN
cord-010719-90379pjd	43	20	on	on	ADP
cord-010719-90379pjd	43	21	the	the	DET
cord-010719-90379pjd	43	22	dynamics	dynamic	NOUN
cord-010719-90379pjd	43	23	of	of	ADP
cord-010719-90379pjd	43	24	systems	system	NOUN
cord-010719-90379pjd	44	1	[	[	PUNCT
cord-010719-90379pjd	44	2	41	41	NUM
cord-010719-90379pjd	44	3	]	]	PUNCT
cord-010719-90379pjd	45	1	[	[	X
cord-010719-90379pjd	45	2	42	42	NUM
cord-010719-90379pjd	45	3	]	]	PUNCT
cord-010719-90379pjd	45	4	[	[	X
cord-010719-90379pjd	45	5	43	43	NUM
cord-010719-90379pjd	45	6	]	]	PUNCT
cord-010719-90379pjd	45	7	[	[	X
cord-010719-90379pjd	45	8	44	44	NUM
cord-010719-90379pjd	45	9	]	]	PUNCT
cord-010719-90379pjd	45	10	[	[	X
cord-010719-90379pjd	45	11	45	45	NUM
cord-010719-90379pjd	45	12	]	]	PUNCT
cord-010719-90379pjd	45	13	[	[	X
cord-010719-90379pjd	45	14	46	46	NUM
cord-010719-90379pjd	45	15	]	]	PUNCT
cord-010719-90379pjd	45	16	,	,	PUNCT
cord-010719-90379pjd	45	17	and	and	CCONJ
cord-010719-90379pjd	45	18	has	have	AUX
cord-010719-90379pjd	45	19	been	be	AUX
cord-010719-90379pjd	45	20	recently	recently	ADV
cord-010719-90379pjd	45	21	used	use	VERB
cord-010719-90379pjd	45	22	in	in	ADP
cord-010719-90379pjd	45	23	epidemiological	epidemiological	ADJ
cord-010719-90379pjd	45	24	models	model	NOUN
cord-010719-90379pjd	45	25	[	[	X
cord-010719-90379pjd	45	26	47	47	NUM
cord-010719-90379pjd	45	27	]	]	PUNCT
cord-010719-90379pjd	46	1	[	[	X
cord-010719-90379pjd	46	2	48	48	NUM
cord-010719-90379pjd	46	3	]	]	PUNCT
cord-010719-90379pjd	46	4	[	[	X
cord-010719-90379pjd	46	5	49	49	NUM
cord-010719-90379pjd	46	6	]	]	PUNCT
cord-010719-90379pjd	46	7	[	[	X
cord-010719-90379pjd	46	8	50	50	NUM
cord-010719-90379pjd	46	9	]	]	PUNCT
cord-010719-90379pjd	46	10	.	.	PUNCT
cord-010719-90379pjd	47	1	typically	typically	ADV
cord-010719-90379pjd	47	2	,	,	PUNCT
cord-010719-90379pjd	47	3	the	the	DET
cord-010719-90379pjd	47	4	evolution	evolution	NOUN
cord-010719-90379pjd	47	5	of	of	ADP
cord-010719-90379pjd	47	6	epidemiological	epidemiological	ADJ
cord-010719-90379pjd	47	7	models	model	NOUN
cord-010719-90379pjd	47	8	is	be	AUX
cord-010719-90379pjd	47	9	described	describe	VERB
cord-010719-90379pjd	47	10	with	with	ADP
cord-010719-90379pjd	47	11	differential	differential	ADJ
cord-010719-90379pjd	47	12	equations	equation	NOUN
cord-010719-90379pjd	47	13	,	,	PUNCT
cord-010719-90379pjd	47	14	the	the	DET
cord-010719-90379pjd	47	15	derivatives	derivative	NOUN
cord-010719-90379pjd	47	16	being	be	AUX
cord-010719-90379pjd	47	17	of	of	ADP
cord-010719-90379pjd	47	18	integer	integer	NOUN
cord-010719-90379pjd	47	19	order	order	NOUN
cord-010719-90379pjd	47	20	.	.	PUNCT
cord-010719-90379pjd	48	1	by	by	ADP
cord-010719-90379pjd	48	2	replacing	replace	VERB
cord-010719-90379pjd	48	3	the	the	DET
cord-010719-90379pjd	48	4	ordinary	ordinary	ADJ
cord-010719-90379pjd	48	5	time	time	NOUN
cord-010719-90379pjd	48	6	derivative	derivative	ADJ
cord-010719-90379pjd	48	7	by	by	ADP
cord-010719-90379pjd	48	8	a	a	DET
cord-010719-90379pjd	48	9	fractional	fractional	ADJ
cord-010719-90379pjd	48	10	derivative	derivative	NOUN
cord-010719-90379pjd	48	11	,	,	PUNCT
cord-010719-90379pjd	48	12	a	a	DET
cord-010719-90379pjd	48	13	time	time	NOUN
cord-010719-90379pjd	48	14	correlation	correlation	NOUN
cord-010719-90379pjd	48	15	function	function	NOUN
cord-010719-90379pjd	48	16	or	or	CCONJ
cord-010719-90379pjd	48	17	memory	memory	NOUN
cord-010719-90379pjd	48	18	kernel	kernel	NOUN
cord-010719-90379pjd	48	19	appears	appear	VERB
cord-010719-90379pjd	48	20	,	,	PUNCT
cord-010719-90379pjd	48	21	thereby	thereby	ADV
cord-010719-90379pjd	48	22	making	make	VERB
cord-010719-90379pjd	48	23	the	the	DET
cord-010719-90379pjd	48	24	state	state	NOUN
cord-010719-90379pjd	48	25	of	of	ADP
cord-010719-90379pjd	48	26	the	the	DET
cord-010719-90379pjd	48	27	system	system	NOUN
cord-010719-90379pjd	48	28	dependent	dependent	ADJ
cord-010719-90379pjd	48	29	on	on	ADP
cord-010719-90379pjd	48	30	all	all	DET
cord-010719-90379pjd	48	31	past	past	ADJ
cord-010719-90379pjd	48	32	states	state	NOUN
cord-010719-90379pjd	48	33	.	.	PUNCT
cord-010719-90379pjd	49	1	thus	thus	ADV
cord-010719-90379pjd	49	2	,	,	PUNCT
cord-010719-90379pjd	49	3	it	it	PRON
cord-010719-90379pjd	49	4	seems	seem	VERB
cord-010719-90379pjd	49	5	that	that	SCONJ
cord-010719-90379pjd	49	6	such	such	DET
cord-010719-90379pjd	49	7	a	a	DET
cord-010719-90379pjd	49	8	method	method	NOUN
cord-010719-90379pjd	49	9	based	base	VERB
cord-010719-90379pjd	49	10	on	on	ADP
cord-010719-90379pjd	49	11	derivatives	derivative	NOUN
cord-010719-90379pjd	49	12	with	with	ADP
cord-010719-90379pjd	49	13	noninteger	noninteger	PROPN
cord-010719-90379pjd	49	14	order	order	NOUN
cord-010719-90379pjd	49	15	,	,	PUNCT
cord-010719-90379pjd	49	16	as	as	SCONJ
cord-010719-90379pjd	49	17	introduced	introduce	VERB
cord-010719-90379pjd	49	18	by	by	ADP
cord-010719-90379pjd	49	19	caputo	caputo	NOUN
cord-010719-90379pjd	49	20	for	for	ADP
cord-010719-90379pjd	49	21	geophysics	geophysic	NOUN
cord-010719-90379pjd	49	22	problems	problem	NOUN
cord-010719-90379pjd	49	23	[	[	X
cord-010719-90379pjd	49	24	51	51	NUM
cord-010719-90379pjd	49	25	]	]	PUNCT
cord-010719-90379pjd	49	26	,	,	PUNCT
cord-010719-90379pjd	49	27	is	be	AUX
cord-010719-90379pjd	49	28	a	a	DET
cord-010719-90379pjd	49	29	very	very	ADV
cord-010719-90379pjd	49	30	proper	proper	ADJ
cord-010719-90379pjd	49	31	formalism	formalism	NOUN
cord-010719-90379pjd	49	32	for	for	ADP
cord-010719-90379pjd	49	33	such	such	ADJ
cord-010719-90379pjd	49	34	non	non	ADJ
cord-010719-90379pjd	49	35	-	-	ADJ
cord-010719-90379pjd	49	36	markovian	markovian	ADJ
cord-010719-90379pjd	49	37	problems	problem	NOUN
cord-010719-90379pjd	49	38	.	.	PUNCT
cord-010719-90379pjd	50	1	moreover	moreover	ADV
cord-010719-90379pjd	50	2	,	,	PUNCT
cord-010719-90379pjd	50	3	caputo	caputo	PROPN
cord-010719-90379pjd	50	4	's	's	PART
cord-010719-90379pjd	50	5	formalism	formalism	NOUN
cord-010719-90379pjd	50	6	provides	provide	VERB
cord-010719-90379pjd	50	7	the	the	DET
cord-010719-90379pjd	50	8	advantage	advantage	NOUN
cord-010719-90379pjd	50	9	that	that	SCONJ
cord-010719-90379pjd	50	10	it	it	PRON
cord-010719-90379pjd	50	11	is	be	AUX
cord-010719-90379pjd	50	12	not	not	PART
cord-010719-90379pjd	50	13	necessary	necessary	ADJ
cord-010719-90379pjd	50	14	to	to	PART
cord-010719-90379pjd	50	15	define	define	VERB
cord-010719-90379pjd	50	16	the	the	DET
cord-010719-90379pjd	50	17	fractional	fractional	ADJ
cord-010719-90379pjd	50	18	order	order	NOUN
cord-010719-90379pjd	50	19	initial	initial	ADJ
cord-010719-90379pjd	50	20	conditions	condition	NOUN
cord-010719-90379pjd	50	21	,	,	PUNCT
cord-010719-90379pjd	50	22	when	when	SCONJ
cord-010719-90379pjd	50	23	solving	solve	VERB
cord-010719-90379pjd	50	24	such	such	ADJ
cord-010719-90379pjd	50	25	differential	differential	ADJ
cord-010719-90379pjd	50	26	equations	equation	NOUN
cord-010719-90379pjd	50	27	[	[	X
cord-010719-90379pjd	50	28	51	51	NUM
cord-010719-90379pjd	50	29	]	]	PUNCT
cord-010719-90379pjd	51	1	[	[	X
cord-010719-90379pjd	51	2	52	52	NUM
cord-010719-90379pjd	51	3	]	]	PUNCT
cord-010719-90379pjd	51	4	[	[	X
cord-010719-90379pjd	51	5	53	53	NUM
cord-010719-90379pjd	51	6	]	]	PUNCT
cord-010719-90379pjd	51	7	[	[	X
cord-010719-90379pjd	51	8	54	54	NUM
cord-010719-90379pjd	51	9	]	]	PUNCT
cord-010719-90379pjd	51	10	.	.	PUNCT
cord-010719-90379pjd	52	1	furthermore	furthermore	ADV
cord-010719-90379pjd	52	2	,	,	PUNCT
cord-010719-90379pjd	52	3	the	the	DET
cord-010719-90379pjd	52	4	time	time	NOUN
cord-010719-90379pjd	52	5	correlation	correlation	NOUN
cord-010719-90379pjd	52	6	function	function	NOUN
cord-010719-90379pjd	52	7	,	,	PUNCT
cord-010719-90379pjd	52	8	in	in	ADP
cord-010719-90379pjd	52	9	the	the	DET
cord-010719-90379pjd	52	10	definition	definition	NOUN
cord-010719-90379pjd	52	11	of	of	ADP
cord-010719-90379pjd	52	12	caputo	caputo	PROPN
cord-010719-90379pjd	52	13	fractional	fractional	ADJ
cord-010719-90379pjd	52	14	derivative	derivative	NOUN
cord-010719-90379pjd	52	15	,	,	PUNCT
cord-010719-90379pjd	52	16	is	be	AUX
cord-010719-90379pjd	52	17	a	a	DET
cord-010719-90379pjd	52	18	power	power	NOUN
cord-010719-90379pjd	52	19	-	-	PUNCT
cord-010719-90379pjd	52	20	law	law	NOUN
cord-010719-90379pjd	52	21	function	function	NOUN
cord-010719-90379pjd	52	22	,	,	PUNCT
cord-010719-90379pjd	52	23	which	which	PRON
cord-010719-90379pjd	52	24	is	be	AUX
cord-010719-90379pjd	52	25	flexible	flexible	ADJ
cord-010719-90379pjd	52	26	enough	enough	ADV
cord-010719-90379pjd	52	27	to	to	PART
cord-010719-90379pjd	52	28	reflect	reflect	VERB
cord-010719-90379pjd	52	29	the	the	DET
cord-010719-90379pjd	52	30	fact	fact	NOUN
cord-010719-90379pjd	52	31	that	that	SCONJ
cord-010719-90379pjd	52	32	the	the	DET
cord-010719-90379pjd	52	33	contribution	contribution	NOUN
cord-010719-90379pjd	52	34	of	of	ADP
cord-010719-90379pjd	52	35	more	more	ADJ
cord-010719-90379pjd	52	36	early	early	ADJ
cord-010719-90379pjd	52	37	states	state	NOUN
cord-010719-90379pjd	52	38	is	be	AUX
cord-010719-90379pjd	52	39	noticeably	noticeably	ADV
cord-010719-90379pjd	52	40	less	less	ADV
cord-010719-90379pjd	52	41	relevant	relevant	ADJ
cord-010719-90379pjd	52	42	than	than	ADP
cord-010719-90379pjd	52	43	the	the	DET
cord-010719-90379pjd	52	44	contribution	contribution	NOUN
cord-010719-90379pjd	52	45	of	of	ADP
cord-010719-90379pjd	52	46	more	more	ADJ
cord-010719-90379pjd	52	47	recent	recent	ADJ
cord-010719-90379pjd	52	48	ones	one	NOUN
cord-010719-90379pjd	52	49	on	on	ADP
cord-010719-90379pjd	52	50	the	the	DET
cord-010719-90379pjd	52	51	present	present	ADJ
cord-010719-90379pjd	52	52	state	state	NOUN
cord-010719-90379pjd	52	53	of	of	ADP
cord-010719-90379pjd	52	54	the	the	DET
cord-010719-90379pjd	52	55	dynamical	dynamical	ADJ
cord-010719-90379pjd	52	56	system	system	NOUN
cord-010719-90379pjd	52	57	.	.	PUNCT
cord-010719-90379pjd	53	1	most	most	ADJ
cord-010719-90379pjd	53	2	of	of	ADP
cord-010719-90379pjd	53	3	the	the	DET
cord-010719-90379pjd	53	4	previous	previous	ADJ
cord-010719-90379pjd	53	5	works	work	NOUN
cord-010719-90379pjd	53	6	have	have	AUX
cord-010719-90379pjd	53	7	studied	study	VERB
cord-010719-90379pjd	53	8	the	the	DET
cord-010719-90379pjd	53	9	epidemiological	epidemiological	ADJ
cord-010719-90379pjd	53	10	models	model	NOUN
cord-010719-90379pjd	53	11	with	with	ADP
cord-010719-90379pjd	53	12	fractional	fractional	ADJ
cord-010719-90379pjd	53	13	order	order	NOUN
cord-010719-90379pjd	53	14	differential	differential	ADJ
cord-010719-90379pjd	53	15	equations	equation	NOUN
cord-010719-90379pjd	53	16	from	from	ADP
cord-010719-90379pjd	53	17	a	a	DET
cord-010719-90379pjd	53	18	mathematical	mathematical	ADJ
cord-010719-90379pjd	53	19	point	point	NOUN
cord-010719-90379pjd	53	20	of	of	ADP
cord-010719-90379pjd	53	21	view	view	NOUN
cord-010719-90379pjd	53	22	.	.	PUNCT
cord-010719-90379pjd	54	1	they	they	PRON
cord-010719-90379pjd	54	2	mainly	mainly	ADV
cord-010719-90379pjd	54	3	focused	focus	VERB
cord-010719-90379pjd	54	4	on	on	ADP
cord-010719-90379pjd	54	5	presenting	present	VERB
cord-010719-90379pjd	54	6	effective	effective	ADJ
cord-010719-90379pjd	54	7	mathematical	mathematical	ADJ
cord-010719-90379pjd	54	8	methods	method	NOUN
cord-010719-90379pjd	54	9	in	in	ADP
cord-010719-90379pjd	54	10	order	order	NOUN
cord-010719-90379pjd	54	11	to	to	PART
cord-010719-90379pjd	54	12	solve	solve	VERB
cord-010719-90379pjd	54	13	the	the	DET
cord-010719-90379pjd	54	14	corresponding	corresponding	ADJ
cord-010719-90379pjd	54	15	differential	differential	ADJ
cord-010719-90379pjd	54	16	equations	equation	NOUN
cord-010719-90379pjd	54	17	[	[	PUNCT
cord-010719-90379pjd	54	18	49	49	NUM
cord-010719-90379pjd	54	19	,	,	PUNCT
cord-010719-90379pjd	54	20	[	[	X
cord-010719-90379pjd	54	21	55	55	NUM
cord-010719-90379pjd	54	22	]	]	PUNCT
cord-010719-90379pjd	54	23	[	[	X
cord-010719-90379pjd	54	24	56	56	NUM
cord-010719-90379pjd	54	25	]	]	PUNCT
cord-010719-90379pjd	54	26	[	[	X
cord-010719-90379pjd	54	27	57	57	NUM
cord-010719-90379pjd	54	28	]	]	PUNCT
cord-010719-90379pjd	54	29	.	.	PUNCT
cord-010719-90379pjd	55	1	for	for	ADP
cord-010719-90379pjd	55	2	instance	instance	NOUN
cord-010719-90379pjd	55	3	,	,	PUNCT
cord-010719-90379pjd	55	4	in	in	ADP
cord-010719-90379pjd	55	5	[	[	X
cord-010719-90379pjd	55	6	57	57	NUM
cord-010719-90379pjd	55	7	]	]	X
cord-010719-90379pjd	55	8	a	a	DET
cord-010719-90379pjd	55	9	mathematical	mathematical	ADJ
cord-010719-90379pjd	55	10	tool	tool	NOUN
cord-010719-90379pjd	55	11	(	(	PUNCT
cord-010719-90379pjd	55	12	the	the	DET
cord-010719-90379pjd	55	13	multistep	multistep	ADJ
cord-010719-90379pjd	55	14	generalized	generalized	ADJ
cord-010719-90379pjd	55	15	differential	differential	ADJ
cord-010719-90379pjd	55	16	transform	transform	NOUN
cord-010719-90379pjd	55	17	method	method	NOUN
cord-010719-90379pjd	55	18	)	)	PUNCT
cord-010719-90379pjd	55	19	is	be	AUX
cord-010719-90379pjd	55	20	introduced	introduce	VERB
cord-010719-90379pjd	55	21	to	to	PART
cord-010719-90379pjd	55	22	approximate	approximate	VERB
cord-010719-90379pjd	55	23	the	the	DET
cord-010719-90379pjd	55	24	numerical	numerical	ADJ
cord-010719-90379pjd	55	25	solution	solution	NOUN
cord-010719-90379pjd	55	26	of	of	ADP
cord-010719-90379pjd	55	27	the	the	DET
cord-010719-90379pjd	55	28	sir	sir	PROPN
cord-010719-90379pjd	55	29	model	model	NOUN
cord-010719-90379pjd	55	30	with	with	ADP
cord-010719-90379pjd	55	31	fractional	fractional	ADJ
cord-010719-90379pjd	55	32	differential	differential	ADJ
cord-010719-90379pjd	55	33	equations	equation	NOUN
cord-010719-90379pjd	55	34	.	.	PUNCT
cord-010719-90379pjd	56	1	also	also	ADV
cord-010719-90379pjd	56	2	in	in	ADP
cord-010719-90379pjd	56	3	[	[	X
cord-010719-90379pjd	56	4	48	48	NUM
cord-010719-90379pjd	56	5	]	]	PUNCT
cord-010719-90379pjd	56	6	the	the	DET
cord-010719-90379pjd	56	7	authors	author	NOUN
cord-010719-90379pjd	56	8	use	use	VERB
cord-010719-90379pjd	56	9	fractional	fractional	ADJ
cord-010719-90379pjd	56	10	order	order	NOUN
cord-010719-90379pjd	56	11	differential	differential	ADJ
cord-010719-90379pjd	56	12	equations	equation	NOUN
cord-010719-90379pjd	56	13	for	for	ADP
cord-010719-90379pjd	56	14	epidemic	epidemic	NOUN
cord-010719-90379pjd	56	15	models	model	NOUN
cord-010719-90379pjd	56	16	and	and	CCONJ
cord-010719-90379pjd	56	17	concentrate	concentrate	VERB
cord-010719-90379pjd	56	18	on	on	ADP
cord-010719-90379pjd	56	19	the	the	DET
cord-010719-90379pjd	56	20	equilibrium	equilibrium	NOUN
cord-010719-90379pjd	56	21	points	point	NOUN
cord-010719-90379pjd	56	22	of	of	ADP
cord-010719-90379pjd	56	23	the	the	DET
cord-010719-90379pjd	56	24	models	model	NOUN
cord-010719-90379pjd	56	25	and	and	CCONJ
cord-010719-90379pjd	56	26	their	their	PRON
cord-010719-90379pjd	56	27	asymptotic	asymptotic	ADJ
cord-010719-90379pjd	56	28	stability	stability	NOUN
cord-010719-90379pjd	56	29	of	of	ADP
cord-010719-90379pjd	56	30	differential	differential	ADJ
cord-010719-90379pjd	56	31	equations	equation	NOUN
cord-010719-90379pjd	56	32	of	of	ADP
cord-010719-90379pjd	56	33	fractional	fractional	ADJ
cord-010719-90379pjd	56	34	order	order	NOUN
cord-010719-90379pjd	56	35	.	.	PUNCT
cord-010719-90379pjd	57	1	other	other	ADJ
cord-010719-90379pjd	57	2	variations	variation	NOUN
cord-010719-90379pjd	57	3	of	of	ADP
cord-010719-90379pjd	57	4	the	the	DET
cord-010719-90379pjd	57	5	sir	sir	PROPN
cord-010719-90379pjd	57	6	model	model	NOUN
cord-010719-90379pjd	57	7	with	with	ADP
cord-010719-90379pjd	57	8	fractional	fractional	ADJ
cord-010719-90379pjd	57	9	derivatives	derivative	NOUN
cord-010719-90379pjd	57	10	have	have	AUX
cord-010719-90379pjd	57	11	also	also	ADV
cord-010719-90379pjd	57	12	been	be	AUX
cord-010719-90379pjd	57	13	studied	study	VERB
cord-010719-90379pjd	57	14	.	.	PUNCT
cord-010719-90379pjd	58	1	for	for	ADP
cord-010719-90379pjd	58	2	instance	instance	NOUN
cord-010719-90379pjd	58	3	,	,	PUNCT
cord-010719-90379pjd	58	4	seo	seo	NOUN
cord-010719-90379pjd	58	5	et	et	PROPN
cord-010719-90379pjd	58	6	al	al	PROPN
cord-010719-90379pjd	58	7	.	.	PROPN
cord-010719-90379pjd	59	1	introduced	introduce	VERB
cord-010719-90379pjd	59	2	the	the	DET
cord-010719-90379pjd	59	3	sir	sir	PROPN
cord-010719-90379pjd	59	4	epidemic	epidemic	NOUN
cord-010719-90379pjd	59	5	model	model	NOUN
cord-010719-90379pjd	59	6	with	with	ADP
cord-010719-90379pjd	59	7	square	square	ADJ
cord-010719-90379pjd	59	8	root	root	NOUN
cord-010719-90379pjd	59	9	interaction	interaction	NOUN
cord-010719-90379pjd	59	10	of	of	ADP
cord-010719-90379pjd	59	11	the	the	DET
cord-010719-90379pjd	59	12	susceptible	susceptible	ADJ
cord-010719-90379pjd	59	13	and	and	CCONJ
cord-010719-90379pjd	59	14	infected	infect	VERB
cord-010719-90379pjd	59	15	individuals	individual	NOUN
cord-010719-90379pjd	59	16	and	and	CCONJ
cord-010719-90379pjd	59	17	discussed	discuss	VERB
cord-010719-90379pjd	59	18	the	the	DET
cord-010719-90379pjd	59	19	local	local	ADJ
cord-010719-90379pjd	59	20	stability	stability	NOUN
cord-010719-90379pjd	59	21	analysis	analysis	NOUN
cord-010719-90379pjd	59	22	of	of	ADP
cord-010719-90379pjd	59	23	the	the	DET
cord-010719-90379pjd	59	24	model	model	NOUN
cord-010719-90379pjd	60	1	[	[	X
cord-010719-90379pjd	60	2	56	56	NUM
cord-010719-90379pjd	60	3	]	]	PUNCT
cord-010719-90379pjd	60	4	.	.	PUNCT
cord-010719-90379pjd	61	1	also	also	ADV
cord-010719-90379pjd	61	2	in	in	ADP
cord-010719-90379pjd	61	3	[	[	X
cord-010719-90379pjd	61	4	49	49	NUM
cord-010719-90379pjd	61	5	]	]	PUNCT
cord-010719-90379pjd	61	6	,	,	PUNCT
cord-010719-90379pjd	61	7	numerical	numerical	ADJ
cord-010719-90379pjd	61	8	solution	solution	NOUN
cord-010719-90379pjd	61	9	of	of	ADP
cord-010719-90379pjd	61	10	the	the	DET
cord-010719-90379pjd	61	11	sir	sir	PROPN
cord-010719-90379pjd	61	12	epidemic	epidemic	NOUN
cord-010719-90379pjd	61	13	model	model	NOUN
cord-010719-90379pjd	61	14	of	of	ADP
cord-010719-90379pjd	61	15	fractional	fractional	ADJ
cord-010719-90379pjd	61	16	order	order	NOUN
cord-010719-90379pjd	61	17	with	with	ADP
cord-010719-90379pjd	61	18	two	two	NUM
cord-010719-90379pjd	61	19	levels	level	NOUN
cord-010719-90379pjd	61	20	of	of	ADP
cord-010719-90379pjd	61	21	infection	infection	NOUN
cord-010719-90379pjd	61	22	for	for	ADP
cord-010719-90379pjd	61	23	the	the	DET
cord-010719-90379pjd	61	24	transmission	transmission	NOUN
cord-010719-90379pjd	61	25	of	of	ADP
cord-010719-90379pjd	61	26	viruses	virus	NOUN
cord-010719-90379pjd	61	27	in	in	ADP
cord-010719-90379pjd	61	28	a	a	DET
cord-010719-90379pjd	61	29	computer	computer	NOUN
cord-010719-90379pjd	61	30	network	network	NOUN
cord-010719-90379pjd	61	31	has	have	AUX
cord-010719-90379pjd	61	32	been	be	AUX
cord-010719-90379pjd	61	33	presented	present	VERB
cord-010719-90379pjd	61	34	.	.	PUNCT
cord-010719-90379pjd	62	1	in	in	ADP
cord-010719-90379pjd	62	2	all	all	DET
cord-010719-90379pjd	62	3	previous	previous	ADJ
cord-010719-90379pjd	62	4	works	work	NOUN
cord-010719-90379pjd	62	5	,	,	PUNCT
cord-010719-90379pjd	62	6	the	the	DET
cord-010719-90379pjd	62	7	authors	author	NOUN
cord-010719-90379pjd	62	8	rarely	rarely	ADV
cord-010719-90379pjd	62	9	discuss	discuss	VERB
cord-010719-90379pjd	62	10	the	the	DET
cord-010719-90379pjd	62	11	effect	effect	NOUN
cord-010719-90379pjd	62	12	of	of	ADP
cord-010719-90379pjd	62	13	fractional	fractional	ADJ
cord-010719-90379pjd	62	14	order	order	NOUN
cord-010719-90379pjd	62	15	differential	differential	ADJ
cord-010719-90379pjd	62	16	equations	equation	NOUN
cord-010719-90379pjd	62	17	and	and	CCONJ
cord-010719-90379pjd	62	18	memory	memory	NOUN
cord-010719-90379pjd	62	19	on	on	ADP
cord-010719-90379pjd	62	20	the	the	DET
cord-010719-90379pjd	62	21	epidemic	epidemic	NOUN
cord-010719-90379pjd	62	22	thresholds	threshold	NOUN
cord-010719-90379pjd	62	23	and	and	CCONJ
cord-010719-90379pjd	62	24	the	the	DET
cord-010719-90379pjd	62	25	macroscopic	macroscopic	ADJ
cord-010719-90379pjd	62	26	behavior	behavior	NOUN
cord-010719-90379pjd	62	27	of	of	ADP
cord-010719-90379pjd	62	28	epidemic	epidemic	NOUN
cord-010719-90379pjd	62	29	outbreaks	outbreak	NOUN
cord-010719-90379pjd	62	30	.	.	PUNCT
cord-010719-90379pjd	63	1	hence	hence	ADV
cord-010719-90379pjd	63	2	,	,	PUNCT
cord-010719-90379pjd	63	3	one	one	NUM
cord-010719-90379pjd	63	4	question	question	NOUN
cord-010719-90379pjd	63	5	remains	remain	VERB
cord-010719-90379pjd	63	6	;	;	PUNCT
cord-010719-90379pjd	63	7	we	we	PRON
cord-010719-90379pjd	63	8	address	address	VERB
cord-010719-90379pjd	63	9	it	it	PRON
cord-010719-90379pjd	63	10	in	in	ADP
cord-010719-90379pjd	63	11	this	this	DET
cord-010719-90379pjd	63	12	paper	paper	NOUN
cord-010719-90379pjd	63	13	:	:	PUNCT
cord-010719-90379pjd	63	14	how	how	SCONJ
cord-010719-90379pjd	63	15	does	do	VERB
cord-010719-90379pjd	63	16	the	the	DET
cord-010719-90379pjd	63	17	system	system	NOUN
cord-010719-90379pjd	63	18	robustness	robustness	NOUN
cord-010719-90379pjd	63	19	change	change	NOUN
cord-010719-90379pjd	63	20	if	if	SCONJ
cord-010719-90379pjd	63	21	memory	memory	NOUN
cord-010719-90379pjd	63	22	is	be	AUX
cord-010719-90379pjd	63	23	included	include	VERB
cord-010719-90379pjd	63	24	in	in	ADP
cord-010719-90379pjd	63	25	the	the	DET
cord-010719-90379pjd	63	26	sir	sir	PROPN
cord-010719-90379pjd	63	27	model	model	NOUN
cord-010719-90379pjd	63	28	?	?	PUNCT
cord-010719-90379pjd	64	1	we	we	PRON
cord-010719-90379pjd	64	2	also	also	ADV
cord-010719-90379pjd	64	3	use	use	VERB
cord-010719-90379pjd	64	4	the	the	DET
cord-010719-90379pjd	64	5	fractional	fractional	ADJ
cord-010719-90379pjd	64	6	differential	differential	ADJ
cord-010719-90379pjd	64	7	equations	equation	NOUN
cord-010719-90379pjd	64	8	,	,	PUNCT
cord-010719-90379pjd	64	9	describing	describe	VERB
cord-010719-90379pjd	64	10	the	the	DET
cord-010719-90379pjd	64	11	sir	sir	PROPN
cord-010719-90379pjd	64	12	model	model	NOUN
cord-010719-90379pjd	64	13	on	on	ADP
cord-010719-90379pjd	64	14	structured	structured	ADJ
cord-010719-90379pjd	64	15	networks	network	NOUN
cord-010719-90379pjd	64	16	,	,	PUNCT
cord-010719-90379pjd	64	17	to	to	PART
cord-010719-90379pjd	64	18	see	see	VERB
cord-010719-90379pjd	64	19	the	the	DET
cord-010719-90379pjd	64	20	effect	effect	NOUN
cord-010719-90379pjd	64	21	of	of	ADP
cord-010719-90379pjd	64	22	topology	topology	NOUN
cord-010719-90379pjd	64	23	on	on	ADP
cord-010719-90379pjd	64	24	the	the	DET
cord-010719-90379pjd	64	25	evolution	evolution	NOUN
cord-010719-90379pjd	64	26	of	of	ADP
cord-010719-90379pjd	64	27	the	the	DET
cord-010719-90379pjd	64	28	sir	sir	PROPN
cord-010719-90379pjd	64	29	model	model	NOUN
cord-010719-90379pjd	64	30	including	include	VERB
cord-010719-90379pjd	64	31	memory	memory	NOUN
cord-010719-90379pjd	64	32	effects	effect	NOUN
cord-010719-90379pjd	64	33	.	.	PUNCT
cord-010719-90379pjd	65	1	furthermore	furthermore	ADV
cord-010719-90379pjd	65	2	the	the	DET
cord-010719-90379pjd	65	3	lack	lack	NOUN
cord-010719-90379pjd	65	4	of	of	ADP
cord-010719-90379pjd	65	5	access	access	NOUN
cord-010719-90379pjd	65	6	to	to	ADP
cord-010719-90379pjd	65	7	accurate	accurate	ADJ
cord-010719-90379pjd	65	8	information	information	NOUN
cord-010719-90379pjd	65	9	on	on	ADP
cord-010719-90379pjd	65	10	initial	initial	ADJ
cord-010719-90379pjd	65	11	conditions	condition	NOUN
cord-010719-90379pjd	65	12	sometimes	sometimes	ADV
cord-010719-90379pjd	65	13	leads	lead	VERB
cord-010719-90379pjd	65	14	to	to	PART
cord-010719-90379pjd	65	15	doubt	doubt	NOUN
cord-010719-90379pjd	65	16	about	about	ADP
cord-010719-90379pjd	65	17	epidemic	epidemic	ADJ
cord-010719-90379pjd	65	18	evolution	evolution	NOUN
cord-010719-90379pjd	65	19	predictions	prediction	NOUN
cord-010719-90379pjd	65	20	[	[	X
cord-010719-90379pjd	65	21	58	58	NUM
cord-010719-90379pjd	65	22	]	]	PUNCT
cord-010719-90379pjd	65	23	.	.	PUNCT
cord-010719-90379pjd	66	1	the	the	DET
cord-010719-90379pjd	66	2	same	same	ADJ
cord-010719-90379pjd	66	3	type	type	NOUN
cord-010719-90379pjd	66	4	of	of	ADP
cord-010719-90379pjd	66	5	difficulty	difficulty	NOUN
cord-010719-90379pjd	66	6	occurs	occur	VERB
cord-010719-90379pjd	66	7	in	in	ADP
cord-010719-90379pjd	66	8	related	related	ADJ
cord-010719-90379pjd	66	9	problems	problem	NOUN
cord-010719-90379pjd	66	10	,	,	PUNCT
cord-010719-90379pjd	66	11	such	such	ADJ
cord-010719-90379pjd	66	12	as	as	ADP
cord-010719-90379pjd	66	13	in	in	ADP
cord-010719-90379pjd	66	14	opinion	opinion	NOUN
cord-010719-90379pjd	66	15	formation	formation	NOUN
cord-010719-90379pjd	66	16	[	[	PUNCT
cord-010719-90379pjd	66	17	59	59	NUM
cord-010719-90379pjd	66	18	,	,	PUNCT
cord-010719-90379pjd	66	19	60	60	NUM
cord-010719-90379pjd	66	20	]	]	PUNCT
cord-010719-90379pjd	66	21	.	.	PUNCT
cord-010719-90379pjd	67	1	moreover	moreover	ADV
cord-010719-90379pjd	67	2	,	,	PUNCT
cord-010719-90379pjd	67	3	it	it	PRON
cord-010719-90379pjd	67	4	may	may	AUX
cord-010719-90379pjd	67	5	also	also	ADV
cord-010719-90379pjd	67	6	happen	happen	VERB
cord-010719-90379pjd	67	7	in	in	ADP
cord-010719-90379pjd	67	8	certain	certain	ADJ
cord-010719-90379pjd	67	9	cases	case	NOUN
cord-010719-90379pjd	67	10	that	that	PRON
cord-010719-90379pjd	67	11	individuals	individual	NOUN
cord-010719-90379pjd	67	12	do	do	AUX
cord-010719-90379pjd	67	13	not	not	PART
cord-010719-90379pjd	67	14	believe	believe	VERB
cord-010719-90379pjd	67	15	in	in	ADP
cord-010719-90379pjd	67	16	old	old	ADJ
cord-010719-90379pjd	67	17	strategies	strategy	NOUN
cord-010719-90379pjd	67	18	in	in	ADP
cord-010719-90379pjd	67	19	order	order	NOUN
cord-010719-90379pjd	67	20	to	to	PART
cord-010719-90379pjd	67	21	avoid	avoid	VERB
cord-010719-90379pjd	67	22	the	the	DET
cord-010719-90379pjd	67	23	disease	disease	NOUN
cord-010719-90379pjd	67	24	.	.	PUNCT
cord-010719-90379pjd	68	1	this	this	PRON
cord-010719-90379pjd	68	2	means	mean	VERB
cord-010719-90379pjd	68	3	that	that	SCONJ
cord-010719-90379pjd	68	4	the	the	DET
cord-010719-90379pjd	68	5	initial	initial	ADJ
cord-010719-90379pjd	68	6	time	time	NOUN
cord-010719-90379pjd	68	7	for	for	ADP
cord-010719-90379pjd	68	8	taking	take	VERB
cord-010719-90379pjd	68	9	into	into	ADP
cord-010719-90379pjd	68	10	account	account	NOUN
cord-010719-90379pjd	68	11	the	the	DET
cord-010719-90379pjd	68	12	disease	disease	NOUN
cord-010719-90379pjd	68	13	control	control	NOUN
cord-010719-90379pjd	68	14	memory	memory	NOUN
cord-010719-90379pjd	68	15	is	be	AUX
cord-010719-90379pjd	68	16	shifted	shift	VERB
cord-010719-90379pjd	68	17	toward	toward	ADP
cord-010719-90379pjd	68	18	more	more	ADV
cord-010719-90379pjd	68	19	recent	recent	ADJ
cord-010719-90379pjd	68	20	times	time	NOUN
cord-010719-90379pjd	68	21	:	:	PUNCT
cord-010719-90379pjd	68	22	thereafter	thereafter	ADV
cord-010719-90379pjd	68	23	,	,	PUNCT
cord-010719-90379pjd	68	24	the	the	DET
cord-010719-90379pjd	68	25	dynamics	dynamic	NOUN
cord-010719-90379pjd	68	26	is	be	AUX
cord-010719-90379pjd	68	27	evolving	evolve	VERB
cord-010719-90379pjd	68	28	with	with	ADP
cord-010719-90379pjd	68	29	a	a	DET
cord-010719-90379pjd	68	30	new	new	ADJ
cord-010719-90379pjd	68	31	fraction	fraction	NOUN
cord-010719-90379pjd	68	32	of	of	ADP
cord-010719-90379pjd	68	33	susceptible	susceptible	ADJ
cord-010719-90379pjd	68	34	and	and	CCONJ
cord-010719-90379pjd	68	35	infected	infected	ADJ
cord-010719-90379pjd	68	36	individuals	individual	NOUN
cord-010719-90379pjd	68	37	,	,	PUNCT
cord-010719-90379pjd	68	38	different	different	ADJ
cord-010719-90379pjd	68	39	from	from	ADP
cord-010719-90379pjd	68	40	that	that	PRON
cord-010719-90379pjd	68	41	predicted	predict	VERB
cord-010719-90379pjd	68	42	by	by	ADP
cord-010719-90379pjd	68	43	the	the	DET
cord-010719-90379pjd	68	44	solution	solution	NOUN
cord-010719-90379pjd	68	45	of	of	ADP
cord-010719-90379pjd	68	46	the	the	DET
cord-010719-90379pjd	68	47	differential	differential	ADJ
cord-010719-90379pjd	68	48	equations	equation	NOUN
cord-010719-90379pjd	68	49	.	.	PUNCT
cord-010719-90379pjd	69	1	in	in	ADP
cord-010719-90379pjd	69	2	contrast	contrast	NOUN
cord-010719-90379pjd	69	3	,	,	PUNCT
cord-010719-90379pjd	69	4	the	the	DET
cord-010719-90379pjd	69	5	fractional	fractional	ADJ
cord-010719-90379pjd	69	6	calculus	calculus	NOUN
cord-010719-90379pjd	69	7	method	method	NOUN
cord-010719-90379pjd	69	8	allows	allow	VERB
cord-010719-90379pjd	69	9	us	we	PRON
cord-010719-90379pjd	69	10	to	to	PART
cord-010719-90379pjd	69	11	choose	choose	VERB
cord-010719-90379pjd	69	12	any	any	DET
cord-010719-90379pjd	69	13	arbitrary	arbitrary	ADJ
cord-010719-90379pjd	69	14	initial	initial	ADJ
cord-010719-90379pjd	69	15	time	time	NOUN
cord-010719-90379pjd	69	16	at	at	ADP
cord-010719-90379pjd	69	17	which	which	PRON
cord-010719-90379pjd	69	18	the	the	DET
cord-010719-90379pjd	69	19	effect	effect	NOUN
cord-010719-90379pjd	69	20	of	of	ADP
cord-010719-90379pjd	69	21	initial	initial	ADJ
cord-010719-90379pjd	69	22	conditions	condition	NOUN
cord-010719-90379pjd	69	23	can	can	AUX
cord-010719-90379pjd	69	24	be	be	AUX
cord-010719-90379pjd	69	25	introduced	introduce	VERB
cord-010719-90379pjd	69	26	on	on	ADP
cord-010719-90379pjd	69	27	the	the	DET
cord-010719-90379pjd	69	28	spreading	spread	VERB
cord-010719-90379pjd	69	29	dynamics	dynamic	NOUN
cord-010719-90379pjd	69	30	with	with	ADP
cord-010719-90379pjd	69	31	a	a	DET
cord-010719-90379pjd	69	32	memory	memory	NOUN
cord-010719-90379pjd	69	33	content	content	NOUN
cord-010719-90379pjd	69	34	.	.	PUNCT
cord-010719-90379pjd	70	1	the	the	DET
cord-010719-90379pjd	70	2	interest	interest	NOUN
cord-010719-90379pjd	70	3	of	of	ADP
cord-010719-90379pjd	70	4	fractional	fractional	ADJ
cord-010719-90379pjd	70	5	calculus	calculus	NOUN
cord-010719-90379pjd	70	6	will	will	AUX
cord-010719-90379pjd	70	7	appear	appear	VERB
cord-010719-90379pjd	70	8	through	through	ADP
cord-010719-90379pjd	70	9	such	such	ADJ
cord-010719-90379pjd	70	10	aspects	aspect	NOUN
cord-010719-90379pjd	70	11	in	in	ADP
cord-010719-90379pjd	70	12	the	the	DET
cord-010719-90379pjd	70	13	core	core	NOUN
cord-010719-90379pjd	70	14	of	of	ADP
cord-010719-90379pjd	70	15	the	the	DET
cord-010719-90379pjd	70	16	paper	paper	NOUN
cord-010719-90379pjd	70	17	.	.	PUNCT
cord-010719-90379pjd	71	1	thus	thus	ADV
cord-010719-90379pjd	71	2	,	,	PUNCT
cord-010719-90379pjd	71	3	the	the	DET
cord-010719-90379pjd	71	4	paper	paper	NOUN
cord-010719-90379pjd	71	5	is	be	AUX
cord-010719-90379pjd	71	6	organized	organize	VERB
cord-010719-90379pjd	71	7	as	as	SCONJ
cord-010719-90379pjd	71	8	follows	follow	VERB
cord-010719-90379pjd	71	9	.	.	PUNCT
cord-010719-90379pjd	72	1	in	in	ADP
cord-010719-90379pjd	72	2	sec	sec	PROPN
cord-010719-90379pjd	72	3	.	.	PROPN
cord-010719-90379pjd	72	4	ii	ii	PROPN
cord-010719-90379pjd	72	5	,	,	PUNCT
cord-010719-90379pjd	72	6	following	follow	VERB
cord-010719-90379pjd	72	7	caputo	caputo	NOUN
cord-010719-90379pjd	72	8	's	's	PART
cord-010719-90379pjd	72	9	approach	approach	NOUN
cord-010719-90379pjd	72	10	,	,	PUNCT
cord-010719-90379pjd	72	11	we	we	PRON
cord-010719-90379pjd	72	12	convert	convert	VERB
cord-010719-90379pjd	72	13	the	the	DET
cord-010719-90379pjd	72	14	differential	differential	ADJ
cord-010719-90379pjd	72	15	equations	equation	NOUN
cord-010719-90379pjd	72	16	of	of	ADP
cord-010719-90379pjd	72	17	the	the	DET
cord-010719-90379pjd	72	18	standard	standard	ADJ
cord-010719-90379pjd	72	19	sir	sir	PROPN
cord-010719-90379pjd	72	20	model	model	NOUN
cord-010719-90379pjd	72	21	to	to	ADP
cord-010719-90379pjd	72	22	the	the	DET
cord-010719-90379pjd	72	23	fractional	fractional	ADJ
cord-010719-90379pjd	72	24	derivatives	derivative	NOUN
cord-010719-90379pjd	72	25	,	,	PUNCT
cord-010719-90379pjd	72	26	thereby	thereby	ADV
cord-010719-90379pjd	72	27	allowing	allow	VERB
cord-010719-90379pjd	72	28	us	we	PRON
cord-010719-90379pjd	72	29	to	to	PART
cord-010719-90379pjd	72	30	consider	consider	VERB
cord-010719-90379pjd	72	31	memory	memory	NOUN
cord-010719-90379pjd	72	32	effects	effect	NOUN
cord-010719-90379pjd	72	33	.	.	PUNCT
cord-010719-90379pjd	73	1	using	use	VERB
cord-010719-90379pjd	73	2	numerical	numerical	ADJ
cord-010719-90379pjd	73	3	analysis	analysis	NOUN
cord-010719-90379pjd	73	4	results	result	NOUN
cord-010719-90379pjd	73	5	(	(	PUNCT
cord-010719-90379pjd	73	6	sec	sec	PROPN
cord-010719-90379pjd	73	7	.	.	PROPN
cord-010719-90379pjd	73	8	iii	iii	NUM
cord-010719-90379pjd	73	9	)	)	PUNCT
cord-010719-90379pjd	73	10	,	,	PUNCT
cord-010719-90379pjd	73	11	we	we	PRON
cord-010719-90379pjd	73	12	discuss	discuss	VERB
cord-010719-90379pjd	73	13	the	the	DET
cord-010719-90379pjd	73	14	influence	influence	NOUN
cord-010719-90379pjd	73	15	of	of	ADP
cord-010719-90379pjd	73	16	memory	memory	NOUN
cord-010719-90379pjd	73	17	on	on	ADP
cord-010719-90379pjd	73	18	the	the	DET
cord-010719-90379pjd	73	19	epidemic	epidemic	NOUN
cord-010719-90379pjd	73	20	thresholds	threshold	NOUN
cord-010719-90379pjd	73	21	in	in	ADP
cord-010719-90379pjd	73	22	sec	sec	PROPN
cord-010719-90379pjd	73	23	.	.	PROPN
cord-010719-90379pjd	73	24	iii	iii	NUM
cord-010719-90379pjd	73	25	a.	a.	NOUN
cord-010719-90379pjd	73	26	we	we	PRON
cord-010719-90379pjd	73	27	also	also	ADV
cord-010719-90379pjd	73	28	discuss	discuss	VERB
cord-010719-90379pjd	73	29	the	the	DET
cord-010719-90379pjd	73	30	dynamics	dynamic	NOUN
cord-010719-90379pjd	73	31	of	of	ADP
cord-010719-90379pjd	73	32	a	a	DET
cord-010719-90379pjd	73	33	non	non	ADJ
cord-010719-90379pjd	73	34	-	-	ADJ
cord-010719-90379pjd	73	35	markovian	markovian	ADJ
cord-010719-90379pjd	73	36	epidemic	epidemic	NOUN
cord-010719-90379pjd	73	37	process	process	NOUN
cord-010719-90379pjd	73	38	,	,	PUNCT
cord-010719-90379pjd	73	39	when	when	SCONJ
cord-010719-90379pjd	73	40	choosing	choose	VERB
cord-010719-90379pjd	73	41	different	different	ADJ
cord-010719-90379pjd	73	42	initial	initial	ADJ
cord-010719-90379pjd	73	43	conditions	condition	NOUN
cord-010719-90379pjd	73	44	or	or	CCONJ
cord-010719-90379pjd	73	45	modifying	modify	VERB
cord-010719-90379pjd	73	46	the	the	DET
cord-010719-90379pjd	73	47	proportions	proportion	NOUN
cord-010719-90379pjd	73	48	of	of	ADP
cord-010719-90379pjd	73	49	agents	agent	NOUN
cord-010719-90379pjd	73	50	at	at	ADP
cord-010719-90379pjd	73	51	a	a	DET
cord-010719-90379pjd	73	52	given	give	VERB
cord-010719-90379pjd	73	53	time	time	NOUN
cord-010719-90379pjd	73	54	in	in	ADP
cord-010719-90379pjd	73	55	sec	sec	PROPN
cord-010719-90379pjd	73	56	.	.	PROPN
cord-010719-90379pjd	73	57	iii	iii	PROPN
cord-010719-90379pjd	73	58	b.	b.	PROPN
cord-010719-90379pjd	73	59	to	to	PART
cord-010719-90379pjd	73	60	complete	complete	VERB
cord-010719-90379pjd	73	61	our	our	PRON
cord-010719-90379pjd	73	62	discussion	discussion	NOUN
cord-010719-90379pjd	73	63	,	,	PUNCT
cord-010719-90379pjd	73	64	we	we	PRON
cord-010719-90379pjd	73	65	study	study	VERB
cord-010719-90379pjd	73	66	the	the	DET
cord-010719-90379pjd	73	67	dynamics	dynamic	NOUN
cord-010719-90379pjd	73	68	of	of	ADP
cord-010719-90379pjd	73	69	the	the	DET
cord-010719-90379pjd	73	70	model	model	NOUN
cord-010719-90379pjd	73	71	on	on	ADP
cord-010719-90379pjd	73	72	structured	structured	ADJ
cord-010719-90379pjd	73	73	networks	network	NOUN
cord-010719-90379pjd	73	74	in	in	ADP
cord-010719-90379pjd	73	75	sec	sec	PROPN
cord-010719-90379pjd	73	76	.	.	PROPN
cord-010719-90379pjd	73	77	iv	iv	PROPN
cord-010719-90379pjd	73	78	.	.	PUNCT
cord-010719-90379pjd	74	1	we	we	PRON
cord-010719-90379pjd	74	2	also	also	ADV
cord-010719-90379pjd	74	3	point	point	VERB
cord-010719-90379pjd	74	4	out	out	ADP
cord-010719-90379pjd	74	5	that	that	SCONJ
cord-010719-90379pjd	74	6	we	we	PRON
cord-010719-90379pjd	74	7	have	have	AUX
cord-010719-90379pjd	74	8	observed	observe	VERB
cord-010719-90379pjd	74	9	qualitatively	qualitatively	ADV
cord-010719-90379pjd	74	10	similar	similar	ADJ
cord-010719-90379pjd	74	11	results	result	NOUN
cord-010719-90379pjd	74	12	for	for	ADP
cord-010719-90379pjd	74	13	the	the	DET
cord-010719-90379pjd	74	14	sis	sis	NOUN
cord-010719-90379pjd	74	15	(	(	PUNCT
cord-010719-90379pjd	74	16	susceptible	susceptible	ADJ
cord-010719-90379pjd	74	17	-	-	PUNCT
cord-010719-90379pjd	74	18	infectedsusceptible	infectedsusceptible	ADJ
cord-010719-90379pjd	74	19	)	)	PUNCT
cord-010719-90379pjd	74	20	epidemic	epidemic	NOUN
cord-010719-90379pjd	74	21	model	model	NOUN
cord-010719-90379pjd	74	22	.	.	PUNCT
cord-010719-90379pjd	75	1	the	the	DET
cord-010719-90379pjd	75	2	conclusions	conclusion	NOUN
cord-010719-90379pjd	75	3	are	be	AUX
cord-010719-90379pjd	75	4	found	find	VERB
cord-010719-90379pjd	75	5	in	in	ADP
cord-010719-90379pjd	75	6	sec	sec	PROPN
cord-010719-90379pjd	75	7	.	.	PROPN
cord-010719-90379pjd	76	1	v.	v.	ADP
cord-010719-90379pjd	76	2	the	the	DET
cord-010719-90379pjd	76	3	evolution	evolution	NOUN
cord-010719-90379pjd	76	4	of	of	ADP
cord-010719-90379pjd	76	5	the	the	DET
cord-010719-90379pjd	76	6	standard	standard	ADJ
cord-010719-90379pjd	76	7	sir	sir	PROPN
cord-010719-90379pjd	76	8	model	model	NOUN
cord-010719-90379pjd	76	9	is	be	AUX
cord-010719-90379pjd	76	10	described	describe	VERB
cord-010719-90379pjd	76	11	by	by	ADP
cord-010719-90379pjd	76	12	a	a	DET
cord-010719-90379pjd	76	13	set	set	NOUN
cord-010719-90379pjd	76	14	of	of	ADP
cord-010719-90379pjd	76	15	coupled	coupled	ADJ
cord-010719-90379pjd	76	16	ordinary	ordinary	ADJ
cord-010719-90379pjd	76	17	differential	differential	ADJ
cord-010719-90379pjd	76	18	equations	equation	NOUN
cord-010719-90379pjd	76	19	for	for	ADP
cord-010719-90379pjd	76	20	susceptible	susceptible	ADJ
cord-010719-90379pjd	76	21	(	(	PUNCT
cord-010719-90379pjd	76	22	s	s	X
cord-010719-90379pjd	76	23	)	)	PUNCT
cord-010719-90379pjd	76	24	,	,	PUNCT
cord-010719-90379pjd	76	25	infected	infect	VERB
cord-010719-90379pjd	76	26	(	(	PUNCT
cord-010719-90379pjd	76	27	i	i	NOUN
cord-010719-90379pjd	76	28	)	)	PUNCT
cord-010719-90379pjd	76	29	,	,	PUNCT
cord-010719-90379pjd	76	30	and	and	CCONJ
cord-010719-90379pjd	76	31	recovered(r	recovered(r	NOUN
cord-010719-90379pjd	76	32	)	)	PUNCT
cord-010719-90379pjd	76	33	individuals	individual	NOUN
cord-010719-90379pjd	76	34	,	,	PUNCT
cord-010719-90379pjd	76	35	respectively	respectively	ADV
cord-010719-90379pjd	76	36	given	give	VERB
cord-010719-90379pjd	76	37	by	by	ADP
cord-010719-90379pjd	76	38	in	in	ADP
cord-010719-90379pjd	76	39	which	which	PRON
cord-010719-90379pjd	76	40	β	β	NOUN
cord-010719-90379pjd	76	41	and	and	CCONJ
cord-010719-90379pjd	76	42	γ	γ	NOUN
cord-010719-90379pjd	76	43	are	be	AUX
cord-010719-90379pjd	76	44	infection	infection	NOUN
cord-010719-90379pjd	76	45	and	and	CCONJ
cord-010719-90379pjd	76	46	recovery	recovery	NOUN
cord-010719-90379pjd	76	47	coefficients	coefficient	NOUN
cord-010719-90379pjd	76	48	,	,	PUNCT
cord-010719-90379pjd	76	49	respectively	respectively	ADV
cord-010719-90379pjd	76	50	.	.	PUNCT
cord-010719-90379pjd	77	1	the	the	DET
cord-010719-90379pjd	77	2	infected	infected	ADJ
cord-010719-90379pjd	77	3	individual	individual	NOUN
cord-010719-90379pjd	77	4	makes	make	VERB
cord-010719-90379pjd	77	5	β	β	PROPN
cord-010719-90379pjd	77	6	contacts	contact	NOUN
cord-010719-90379pjd	77	7	per	per	ADP
cord-010719-90379pjd	77	8	unit	unit	NOUN
cord-010719-90379pjd	77	9	time	time	NOUN
cord-010719-90379pjd	77	10	producing	produce	VERB
cord-010719-90379pjd	77	11	new	new	ADJ
cord-010719-90379pjd	77	12	infections	infection	NOUN
cord-010719-90379pjd	77	13	within	within	ADP
cord-010719-90379pjd	77	14	a	a	DET
cord-010719-90379pjd	77	15	mean	mean	ADJ
cord-010719-90379pjd	77	16	infectious	infectious	ADJ
cord-010719-90379pjd	77	17	time	time	NOUN
cord-010719-90379pjd	77	18	of	of	ADP
cord-010719-90379pjd	77	19	order	order	NOUN
cord-010719-90379pjd	77	20	1	1	NUM
cord-010719-90379pjd	77	21	/	/	SYM
cord-010719-90379pjd	77	22	γ	γ	NOUN
cord-010719-90379pjd	77	23	.	.	PUNCT
cord-010719-90379pjd	78	1	the	the	DET
cord-010719-90379pjd	78	2	evolution	evolution	NOUN
cord-010719-90379pjd	78	3	of	of	ADP
cord-010719-90379pjd	78	4	the	the	DET
cord-010719-90379pjd	78	5	model	model	NOUN
cord-010719-90379pjd	78	6	is	be	AUX
cord-010719-90379pjd	78	7	controlled	control	VERB
cord-010719-90379pjd	78	8	by	by	ADP
cord-010719-90379pjd	78	9	quantity	quantity	NOUN
cord-010719-90379pjd	78	10	β	β	PROPN
cord-010719-90379pjd	78	11	/	/	PUNCT
cord-010719-90379pjd	78	12	γ	γ	PROPN
cord-010719-90379pjd	78	13	,	,	PUNCT
cord-010719-90379pjd	78	14	such	such	ADJ
cord-010719-90379pjd	78	15	that	that	PRON
cord-010719-90379pjd	78	16	above	above	ADP
cord-010719-90379pjd	78	17	the	the	DET
cord-010719-90379pjd	78	18	epidemic	epidemic	NOUN
cord-010719-90379pjd	78	19	threshold	threshold	NOUN
cord-010719-90379pjd	78	20	,	,	PUNCT
cord-010719-90379pjd	78	21	(	(	PUNCT
cord-010719-90379pjd	78	22	β	β	NOUN
cord-010719-90379pjd	78	23	/	/	SYM
cord-010719-90379pjd	78	24	γ	γ	NUM
cord-010719-90379pjd	78	25	)	)	PUNCT
cord-010719-90379pjd	78	26	c	c	PROPN
cord-010719-90379pjd	78	27	,	,	PUNCT
cord-010719-90379pjd	78	28	the	the	DET
cord-010719-90379pjd	78	29	disease	disease	NOUN
cord-010719-90379pjd	78	30	spreads	spread	VERB
cord-010719-90379pjd	78	31	among	among	ADP
cord-010719-90379pjd	78	32	a	a	DET
cord-010719-90379pjd	78	33	finite	finite	ADJ
cord-010719-90379pjd	78	34	fraction	fraction	NOUN
cord-010719-90379pjd	78	35	of	of	ADP
cord-010719-90379pjd	78	36	individuals	individual	NOUN
cord-010719-90379pjd	78	37	.	.	PUNCT
cord-010719-90379pjd	79	1	these	these	DET
cord-010719-90379pjd	79	2	(	(	PUNCT
cord-010719-90379pjd	79	3	ordinary	ordinary	ADJ
cord-010719-90379pjd	79	4	)	)	PUNCT
cord-010719-90379pjd	79	5	differential	differential	ADJ
cord-010719-90379pjd	79	6	equations	equation	NOUN
cord-010719-90379pjd	79	7	describe	describe	VERB
cord-010719-90379pjd	79	8	a	a	DET
cord-010719-90379pjd	79	9	markov	markov	NOUN
cord-010719-90379pjd	79	10	epidemic	epidemic	NOUN
cord-010719-90379pjd	79	11	process	process	NOUN
cord-010719-90379pjd	79	12	,	,	PUNCT
cord-010719-90379pjd	79	13	in	in	ADP
cord-010719-90379pjd	79	14	which	which	PRON
cord-010719-90379pjd	79	15	the	the	DET
cord-010719-90379pjd	79	16	state	state	NOUN
cord-010719-90379pjd	79	17	of	of	ADP
cord-010719-90379pjd	79	18	individuals	individual	NOUN
cord-010719-90379pjd	79	19	at	at	ADP
cord-010719-90379pjd	79	20	each	each	DET
cord-010719-90379pjd	79	21	time	time	NOUN
cord-010719-90379pjd	79	22	step	step	NOUN
cord-010719-90379pjd	79	23	does	do	AUX
cord-010719-90379pjd	79	24	not	not	PART
cord-010719-90379pjd	79	25	depend	depend	VERB
cord-010719-90379pjd	79	26	on	on	ADP
cord-010719-90379pjd	79	27	previous	previous	ADJ
cord-010719-90379pjd	79	28	steps	step	NOUN
cord-010719-90379pjd	79	29	.	.	PUNCT
cord-010719-90379pjd	80	1	the	the	DET
cord-010719-90379pjd	80	2	set	set	NOUN
cord-010719-90379pjd	80	3	of	of	ADP
cord-010719-90379pjd	80	4	eqs	eqs	PROPN
cord-010719-90379pjd	80	5	.	.	PUNCT
cord-010719-90379pjd	81	1	(	(	PUNCT
cord-010719-90379pjd	81	2	1	1	NUM
cord-010719-90379pjd	81	3	)	)	PUNCT
cord-010719-90379pjd	81	4	can	can	AUX
cord-010719-90379pjd	81	5	be	be	AUX
cord-010719-90379pjd	81	6	solved	solve	VERB
cord-010719-90379pjd	81	7	iteratively	iteratively	ADV
cord-010719-90379pjd	81	8	until	until	SCONJ
cord-010719-90379pjd	81	9	time	time	NOUN
cord-010719-90379pjd	81	10	t.	t.	PROPN
cord-010719-90379pjd	81	11	in	in	ADP
cord-010719-90379pjd	81	12	particular	particular	ADJ
cord-010719-90379pjd	81	13	,	,	PUNCT
cord-010719-90379pjd	81	14	the	the	DET
cord-010719-90379pjd	81	15	fraction	fraction	NOUN
cord-010719-90379pjd	81	16	of	of	ADP
cord-010719-90379pjd	81	17	susceptible	susceptible	ADJ
cord-010719-90379pjd	81	18	individuals	individual	NOUN
cord-010719-90379pjd	81	19	at	at	ADP
cord-010719-90379pjd	81	20	time	time	NOUN
cord-010719-90379pjd	81	21	t	t	PROPN
cord-010719-90379pjd	81	22	,	,	PUNCT
cord-010719-90379pjd	81	23	denoted	denote	VERB
cord-010719-90379pjd	81	24	as	as	ADP
cord-010719-90379pjd	81	25	s	s	PROPN
cord-010719-90379pjd	81	26	t	t	NOUN
cord-010719-90379pjd	81	27	,	,	PUNCT
cord-010719-90379pjd	81	28	can	can	AUX
cord-010719-90379pjd	81	29	be	be	AUX
cord-010719-90379pjd	81	30	determined	determine	VERB
cord-010719-90379pjd	81	31	.	.	PUNCT
cord-010719-90379pjd	82	1	in	in	ADP
cord-010719-90379pjd	82	2	fact	fact	NOUN
cord-010719-90379pjd	82	3	,	,	PUNCT
cord-010719-90379pjd	82	4	1	1	NUM
cord-010719-90379pjd	82	5	−	−	PROPN
cord-010719-90379pjd	82	6	s	s	PART
cord-010719-90379pjd	82	7	t	t	PROPN
cord-010719-90379pjd	82	8	is	be	AUX
cord-010719-90379pjd	82	9	the	the	DET
cord-010719-90379pjd	82	10	size	size	NOUN
cord-010719-90379pjd	82	11	of	of	ADP
cord-010719-90379pjd	82	12	outbreaks	outbreak	NOUN
cord-010719-90379pjd	82	13	,	,	PUNCT
cord-010719-90379pjd	82	14	i.e.	i.e.	X
cord-010719-90379pjd	82	15	,	,	PUNCT
cord-010719-90379pjd	82	16	the	the	DET
cord-010719-90379pjd	82	17	population	population	NOUN
cord-010719-90379pjd	82	18	that	that	PRON
cord-010719-90379pjd	82	19	has	have	VERB
cord-010719-90379pjd	82	20	or	or	CCONJ
cord-010719-90379pjd	82	21	has	have	AUX
cord-010719-90379pjd	82	22	had	have	VERB
cord-010719-90379pjd	82	23	the	the	DET
cord-010719-90379pjd	82	24	disease	disease	NOUN
cord-010719-90379pjd	82	25	until	until	ADP
cord-010719-90379pjd	82	26	time	time	NOUN
cord-010719-90379pjd	82	27	t.	t.	PROPN
cord-010719-90379pjd	82	28	in	in	ADP
cord-010719-90379pjd	82	29	order	order	NOUN
cord-010719-90379pjd	82	30	to	to	PART
cord-010719-90379pjd	82	31	observe	observe	VERB
cord-010719-90379pjd	82	32	the	the	DET
cord-010719-90379pjd	82	33	influence	influence	NOUN
cord-010719-90379pjd	82	34	of	of	ADP
cord-010719-90379pjd	82	35	memory	memory	NOUN
cord-010719-90379pjd	82	36	effects	effect	NOUN
cord-010719-90379pjd	82	37	,	,	PUNCT
cord-010719-90379pjd	82	38	first	first	ADV
cord-010719-90379pjd	82	39	we	we	PRON
cord-010719-90379pjd	82	40	rewrite	rewrite	VERB
cord-010719-90379pjd	82	41	the	the	DET
cord-010719-90379pjd	82	42	differential	differential	ADJ
cord-010719-90379pjd	82	43	equations	equation	NOUN
cord-010719-90379pjd	82	44	(	(	PUNCT
cord-010719-90379pjd	82	45	1	1	NUM
cord-010719-90379pjd	82	46	)	)	PUNCT
cord-010719-90379pjd	82	47	in	in	ADP
cord-010719-90379pjd	82	48	terms	term	NOUN
cord-010719-90379pjd	82	49	of	of	ADP
cord-010719-90379pjd	82	50	time	time	NOUN
cord-010719-90379pjd	82	51	-	-	PUNCT
cord-010719-90379pjd	82	52	dependent	dependent	ADJ
cord-010719-90379pjd	82	53	integrals	integral	NOUN
cord-010719-90379pjd	82	54	as	as	SCONJ
cord-010719-90379pjd	82	55	follows	follow	VERB
cord-010719-90379pjd	82	56	:	:	PUNCT
cord-010719-90379pjd	82	57	in	in	ADP
cord-010719-90379pjd	82	58	which	which	PRON
cord-010719-90379pjd	82	59	κ(t	κ(t	PROPN
cord-010719-90379pjd	82	60	−	−	PROPN
cord-010719-90379pjd	82	61	t	t	PROPN
cord-010719-90379pjd	82	62	)	)	PUNCT
cord-010719-90379pjd	82	63	plays	play	VERB
cord-010719-90379pjd	82	64	the	the	DET
cord-010719-90379pjd	82	65	role	role	NOUN
cord-010719-90379pjd	82	66	of	of	ADP
cord-010719-90379pjd	82	67	a	a	DET
cord-010719-90379pjd	82	68	time	time	NOUN
cord-010719-90379pjd	82	69	-	-	PUNCT
cord-010719-90379pjd	82	70	dependent	dependent	ADJ
cord-010719-90379pjd	82	71	kernel	kernel	NOUN
cord-010719-90379pjd	82	72	and	and	CCONJ
cord-010719-90379pjd	82	73	is	be	AUX
cord-010719-90379pjd	82	74	equal	equal	ADJ
cord-010719-90379pjd	82	75	to	to	ADP
cord-010719-90379pjd	82	76	a	a	DET
cord-010719-90379pjd	82	77	delta	delta	NOUN
cord-010719-90379pjd	82	78	function	function	NOUN
cord-010719-90379pjd	82	79	δ(t	δ(t	NOUN
cord-010719-90379pjd	82	80	−	−	PROPN
cord-010719-90379pjd	82	81	t	t	PROPN
cord-010719-90379pjd	82	82	)	)	PUNCT
cord-010719-90379pjd	82	83	in	in	ADP
cord-010719-90379pjd	82	84	a	a	DET
cord-010719-90379pjd	82	85	classical	classical	ADJ
cord-010719-90379pjd	82	86	markov	markov	NOUN
cord-010719-90379pjd	82	87	process	process	NOUN
cord-010719-90379pjd	82	88	.	.	PUNCT
cord-010719-90379pjd	83	1	in	in	ADP
cord-010719-90379pjd	83	2	fact	fact	NOUN
cord-010719-90379pjd	83	3	,	,	PUNCT
cord-010719-90379pjd	83	4	any	any	DET
cord-010719-90379pjd	83	5	arbitrary	arbitrary	ADJ
cord-010719-90379pjd	83	6	function	function	NOUN
cord-010719-90379pjd	83	7	can	can	AUX
cord-010719-90379pjd	83	8	be	be	AUX
cord-010719-90379pjd	83	9	replaced	replace	VERB
cord-010719-90379pjd	83	10	by	by	ADP
cord-010719-90379pjd	83	11	a	a	DET
cord-010719-90379pjd	83	12	sum	sum	NOUN
cord-010719-90379pjd	83	13	of	of	ADP
cord-010719-90379pjd	83	14	delta	delta	NOUN
cord-010719-90379pjd	83	15	functions	function	NOUN
cord-010719-90379pjd	83	16	,	,	PUNCT
cord-010719-90379pjd	83	17	thereby	thereby	ADV
cord-010719-90379pjd	83	18	leading	lead	VERB
cord-010719-90379pjd	83	19	to	to	ADP
cord-010719-90379pjd	83	20	a	a	DET
cord-010719-90379pjd	83	21	given	give	VERB
cord-010719-90379pjd	83	22	type	type	NOUN
cord-010719-90379pjd	83	23	of	of	ADP
cord-010719-90379pjd	83	24	time	time	NOUN
cord-010719-90379pjd	83	25	correlations	correlation	NOUN
cord-010719-90379pjd	83	26	.	.	PUNCT
cord-010719-90379pjd	84	1	a	a	DET
cord-010719-90379pjd	84	2	proper	proper	ADJ
cord-010719-90379pjd	84	3	choice	choice	NOUN
cord-010719-90379pjd	84	4	,	,	PUNCT
cord-010719-90379pjd	84	5	in	in	ADP
cord-010719-90379pjd	84	6	order	order	NOUN
cord-010719-90379pjd	84	7	to	to	PART
cord-010719-90379pjd	84	8	include	include	VERB
cord-010719-90379pjd	84	9	long	long	ADJ
cord-010719-90379pjd	84	10	-	-	PUNCT
cord-010719-90379pjd	84	11	term	term	NOUN
cord-010719-90379pjd	84	12	memory	memory	NOUN
cord-010719-90379pjd	84	13	effects	effect	NOUN
cord-010719-90379pjd	84	14	,	,	PUNCT
cord-010719-90379pjd	84	15	can	can	AUX
cord-010719-90379pjd	84	16	be	be	AUX
cord-010719-90379pjd	84	17	a	a	DET
cord-010719-90379pjd	84	18	power	power	NOUN
cord-010719-90379pjd	84	19	-	-	PUNCT
cord-010719-90379pjd	84	20	law	law	NOUN
cord-010719-90379pjd	84	21	function	function	NOUN
cord-010719-90379pjd	84	22	which	which	PRON
cord-010719-90379pjd	84	23	exhibits	exhibit	VERB
cord-010719-90379pjd	84	24	a	a	DET
cord-010719-90379pjd	84	25	slow	slow	ADJ
cord-010719-90379pjd	84	26	decay	decay	NOUN
cord-010719-90379pjd	84	27	such	such	ADJ
cord-010719-90379pjd	84	28	that	that	SCONJ
cord-010719-90379pjd	84	29	the	the	DET
cord-010719-90379pjd	84	30	state	state	NOUN
cord-010719-90379pjd	84	31	of	of	ADP
cord-010719-90379pjd	84	32	the	the	DET
cord-010719-90379pjd	84	33	system	system	NOUN
cord-010719-90379pjd	84	34	at	at	ADP
cord-010719-90379pjd	84	35	quite	quite	ADV
cord-010719-90379pjd	84	36	early	early	ADJ
cord-010719-90379pjd	84	37	times	time	NOUN
cord-010719-90379pjd	84	38	also	also	ADV
cord-010719-90379pjd	84	39	contributes	contribute	VERB
cord-010719-90379pjd	84	40	to	to	ADP
cord-010719-90379pjd	84	41	the	the	DET
cord-010719-90379pjd	84	42	evolution	evolution	NOUN
cord-010719-90379pjd	84	43	of	of	ADP
cord-010719-90379pjd	84	44	the	the	DET
cord-010719-90379pjd	84	45	system	system	NOUN
cord-010719-90379pjd	84	46	.	.	PUNCT
cord-010719-90379pjd	85	1	this	this	DET
cord-010719-90379pjd	85	2	type	type	NOUN
cord-010719-90379pjd	85	3	of	of	ADP
cord-010719-90379pjd	85	4	kernel	kernel	PROPN
cord-010719-90379pjd	85	5	guarantees	guarantee	VERB
cord-010719-90379pjd	85	6	the	the	DET
cord-010719-90379pjd	85	7	existence	existence	NOUN
cord-010719-90379pjd	85	8	of	of	ADP
cord-010719-90379pjd	85	9	scaling	scaling	NOUN
cord-010719-90379pjd	85	10	features	feature	NOUN
cord-010719-90379pjd	85	11	as	as	SCONJ
cord-010719-90379pjd	85	12	it	it	PRON
cord-010719-90379pjd	85	13	is	be	AUX
cord-010719-90379pjd	85	14	often	often	ADV
cord-010719-90379pjd	85	15	intrinsic	intrinsic	ADJ
cord-010719-90379pjd	85	16	in	in	ADP
cord-010719-90379pjd	85	17	most	most	ADJ
cord-010719-90379pjd	85	18	natural	natural	ADJ
cord-010719-90379pjd	85	19	phenomena	phenomena	NOUN
cord-010719-90379pjd	85	20	.	.	PUNCT
cord-010719-90379pjd	86	1	thus	thus	ADV
cord-010719-90379pjd	86	2	,	,	PUNCT
cord-010719-90379pjd	86	3	let	let	VERB
cord-010719-90379pjd	86	4	us	we	PRON
cord-010719-90379pjd	86	5	consider	consider	VERB
cord-010719-90379pjd	86	6	the	the	DET
cord-010719-90379pjd	86	7	following	follow	VERB
cord-010719-90379pjd	86	8	power	power	NOUN
cord-010719-90379pjd	86	9	-	-	PUNCT
cord-010719-90379pjd	86	10	law	law	NOUN
cord-010719-90379pjd	86	11	correlation	correlation	NOUN
cord-010719-90379pjd	86	12	function	function	NOUN
cord-010719-90379pjd	86	13	for	for	ADP
cord-010719-90379pjd	86	14	κ(t	κ(t	PROPN
cord-010719-90379pjd	86	15	−	−	PROPN
cord-010719-90379pjd	86	16	t	t	PROPN
cord-010719-90379pjd	86	17	):	):	PUNCT
cord-010719-90379pjd	86	18	in	in	ADP
cord-010719-90379pjd	86	19	which	which	PRON
cord-010719-90379pjd	86	20	0	0	NUM
cord-010719-90379pjd	86	21	<	<	X
cord-010719-90379pjd	86	22	α	α	NOUN
cord-010719-90379pjd	86	23	1	1	NUM
cord-010719-90379pjd	86	24	and	and	CCONJ
cord-010719-90379pjd	86	25	(	(	PUNCT
cord-010719-90379pjd	86	26	x	x	X
cord-010719-90379pjd	86	27	)	)	PUNCT
cord-010719-90379pjd	86	28	denotes	denote	VERB
cord-010719-90379pjd	86	29	the	the	DET
cord-010719-90379pjd	86	30	gamma	gamma	PROPN
cord-010719-90379pjd	86	31	function	function	NOUN
cord-010719-90379pjd	86	32	.	.	PUNCT
cord-010719-90379pjd	87	1	the	the	DET
cord-010719-90379pjd	87	2	choice	choice	NOUN
cord-010719-90379pjd	87	3	of	of	ADP
cord-010719-90379pjd	87	4	the	the	DET
cord-010719-90379pjd	87	5	coefficient	coefficient	NOUN
cord-010719-90379pjd	87	6	1/	1/	PROPN
cord-010719-90379pjd	87	7	(	(	PUNCT
cord-010719-90379pjd	87	8	α	α	PROPN
cord-010719-90379pjd	87	9	−	−	NUM
cord-010719-90379pjd	87	10	1	1	NUM
cord-010719-90379pjd	87	11	)	)	PUNCT
cord-010719-90379pjd	87	12	and	and	CCONJ
cord-010719-90379pjd	87	13	exponent	exponent	NOUN
cord-010719-90379pjd	87	14	(	(	PUNCT
cord-010719-90379pjd	87	15	α	α	PROPN
cord-010719-90379pjd	87	16	−	−	PROPN
cord-010719-90379pjd	87	17	2	2	NUM
cord-010719-90379pjd	87	18	)	)	PUNCT
cord-010719-90379pjd	87	19	allows	allow	VERB
cord-010719-90379pjd	87	20	us	we	PRON
cord-010719-90379pjd	87	21	to	to	PART
cord-010719-90379pjd	87	22	rewrite	rewrite	VERB
cord-010719-90379pjd	87	23	eqs	eqs	PROPN
cord-010719-90379pjd	87	24	.	.	PUNCT
cord-010719-90379pjd	88	1	(	(	PUNCT
cord-010719-90379pjd	88	2	2	2	NUM
cord-010719-90379pjd	88	3	)	)	PUNCT
cord-010719-90379pjd	88	4	to	to	ADP
cord-010719-90379pjd	88	5	the	the	DET
cord-010719-90379pjd	88	6	form	form	NOUN
cord-010719-90379pjd	88	7	of	of	ADP
cord-010719-90379pjd	88	8	fractional	fractional	ADJ
cord-010719-90379pjd	88	9	differential	differential	ADJ
cord-010719-90379pjd	88	10	equations	equation	NOUN
cord-010719-90379pjd	88	11	with	with	ADP
cord-010719-90379pjd	88	12	the	the	DET
cord-010719-90379pjd	88	13	caputo	caputo	NOUN
cord-010719-90379pjd	88	14	-	-	PUNCT
cord-010719-90379pjd	88	15	type	type	NOUN
cord-010719-90379pjd	88	16	derivative	derivative	NOUN
cord-010719-90379pjd	88	17	.	.	PUNCT
cord-010719-90379pjd	89	1	if	if	SCONJ
cord-010719-90379pjd	89	2	this	this	DET
cord-010719-90379pjd	89	3	kernel	kernel	NOUN
cord-010719-90379pjd	89	4	is	be	AUX
cord-010719-90379pjd	89	5	substituted	substitute	VERB
cord-010719-90379pjd	89	6	into	into	ADP
cord-010719-90379pjd	89	7	eqs	eqs	PROPN
cord-010719-90379pjd	89	8	.	.	PUNCT
cord-010719-90379pjd	90	1	(	(	PUNCT
cord-010719-90379pjd	90	2	2	2	NUM
cord-010719-90379pjd	90	3	)	)	PUNCT
cord-010719-90379pjd	90	4	,	,	PUNCT
cord-010719-90379pjd	90	5	the	the	DET
cord-010719-90379pjd	90	6	right	right	ADJ
cord-010719-90379pjd	90	7	-	-	PUNCT
cord-010719-90379pjd	90	8	hand	hand	NOUN
cord-010719-90379pjd	90	9	side	side	NOUN
cord-010719-90379pjd	90	10	of	of	ADP
cord-010719-90379pjd	90	11	the	the	DET
cord-010719-90379pjd	90	12	equations	equation	NOUN
cord-010719-90379pjd	90	13	,	,	PUNCT
cord-010719-90379pjd	90	14	by	by	ADP
cord-010719-90379pjd	90	15	definition	definition	NOUN
cord-010719-90379pjd	90	16	,	,	PUNCT
cord-010719-90379pjd	90	17	are	be	AUX
cord-010719-90379pjd	90	18	fractional	fractional	ADJ
cord-010719-90379pjd	90	19	integrals	integral	NOUN
cord-010719-90379pjd	90	20	of	of	ADP
cord-010719-90379pjd	90	21	order	order	NOUN
cord-010719-90379pjd	90	22	applying	apply	VERB
cord-010719-90379pjd	90	23	a	a	DET
cord-010719-90379pjd	90	24	fractional	fractional	ADJ
cord-010719-90379pjd	90	25	caputo	caputo	NOUN
cord-010719-90379pjd	90	26	derivative	derivative	NOUN
cord-010719-90379pjd	90	27	of	of	ADP
cord-010719-90379pjd	90	28	order	order	NOUN
cord-010719-90379pjd	90	29	α	α	X
cord-010719-90379pjd	90	30	−	−	PROPN
cord-010719-90379pjd	90	31	1	1	NUM
cord-010719-90379pjd	90	32	on	on	ADP
cord-010719-90379pjd	90	33	both	both	DET
cord-010719-90379pjd	90	34	sides	side	NOUN
cord-010719-90379pjd	90	35	of	of	ADP
cord-010719-90379pjd	90	36	each	each	DET
cord-010719-90379pjd	90	37	eq	eq	NOUN
cord-010719-90379pjd	90	38	.	.	PUNCT
cord-010719-90379pjd	91	1	(	(	PUNCT
cord-010719-90379pjd	91	2	2	2	NUM
cord-010719-90379pjd	91	3	)	)	PUNCT
cord-010719-90379pjd	91	4	,	,	PUNCT
cord-010719-90379pjd	91	5	and	and	CCONJ
cord-010719-90379pjd	91	6	using	use	VERB
cord-010719-90379pjd	91	7	the	the	DET
cord-010719-90379pjd	91	8	fact	fact	NOUN
cord-010719-90379pjd	91	9	the	the	DET
cord-010719-90379pjd	91	10	caputo	caputo	NOUN
cord-010719-90379pjd	91	11	fractional	fractional	ADJ
cord-010719-90379pjd	91	12	derivative	derivative	ADJ
cord-010719-90379pjd	91	13	and	and	CCONJ
cord-010719-90379pjd	91	14	fractional	fractional	ADJ
cord-010719-90379pjd	91	15	integral	integral	ADJ
cord-010719-90379pjd	91	16	are	be	AUX
cord-010719-90379pjd	91	17	inverse	inverse	ADJ
cord-010719-90379pjd	91	18	operators	operator	NOUN
cord-010719-90379pjd	91	19	,	,	PUNCT
cord-010719-90379pjd	91	20	the	the	DET
cord-010719-90379pjd	91	21	following	follow	VERB
cord-010719-90379pjd	91	22	fractional	fractional	ADJ
cord-010719-90379pjd	91	23	differential	differential	ADJ
cord-010719-90379pjd	91	24	equations	equation	NOUN
cord-010719-90379pjd	91	25	can	can	AUX
cord-010719-90379pjd	91	26	be	be	AUX
cord-010719-90379pjd	91	27	obtained	obtain	VERB
cord-010719-90379pjd	91	28	for	for	ADP
cord-010719-90379pjd	91	29	the	the	DET
cord-010719-90379pjd	91	30	sir	sir	PROPN
cord-010719-90379pjd	91	31	model	model	NOUN
cord-010719-90379pjd	91	32	:	:	PUNCT
cord-010719-90379pjd	92	1	t	t	PROPN
cord-010719-90379pjd	92	2	denotes	denote	VERB
cord-010719-90379pjd	92	3	the	the	DET
cord-010719-90379pjd	92	4	caputo	caputo	NOUN
cord-010719-90379pjd	92	5	derivative	derivative	NOUN
cord-010719-90379pjd	92	6	of	of	ADP
cord-010719-90379pjd	92	7	order	order	NOUN
cord-010719-90379pjd	92	8	α	α	NOUN
cord-010719-90379pjd	92	9	,	,	PUNCT
cord-010719-90379pjd	92	10	defined	define	VERB
cord-010719-90379pjd	92	11	for	for	ADP
cord-010719-90379pjd	92	12	an	an	DET
cord-010719-90379pjd	92	13	arbitrary	arbitrary	ADJ
cord-010719-90379pjd	92	14	function	function	NOUN
cord-010719-90379pjd	92	15	y(t	y(t	PROPN
cord-010719-90379pjd	92	16	)	)	PUNCT
cord-010719-90379pjd	92	17	as	as	SCONJ
cord-010719-90379pjd	92	18	follows	follow	VERB
cord-010719-90379pjd	92	19	[	[	X
cord-010719-90379pjd	92	20	51	51	NUM
cord-010719-90379pjd	92	21	]	]	PUNCT
cord-010719-90379pjd	92	22	:	:	PUNCT
cord-010719-90379pjd	92	23	hence	hence	ADV
cord-010719-90379pjd	92	24	,	,	PUNCT
cord-010719-90379pjd	92	25	the	the	DET
cord-010719-90379pjd	92	26	fractional	fractional	ADJ
cord-010719-90379pjd	92	27	derivatives	derivative	NOUN
cord-010719-90379pjd	92	28	,	,	PUNCT
cord-010719-90379pjd	92	29	when	when	SCONJ
cord-010719-90379pjd	92	30	introducing	introduce	VERB
cord-010719-90379pjd	92	31	a	a	DET
cord-010719-90379pjd	92	32	convolution	convolution	NOUN
cord-010719-90379pjd	92	33	integral	integral	ADJ
cord-010719-90379pjd	92	34	with	with	ADP
cord-010719-90379pjd	92	35	a	a	DET
cord-010719-90379pjd	92	36	power	power	NOUN
cord-010719-90379pjd	92	37	-	-	PUNCT
cord-010719-90379pjd	92	38	law	law	NOUN
cord-010719-90379pjd	92	39	memory	memory	NOUN
cord-010719-90379pjd	92	40	kernel	kernel	NOUN
cord-010719-90379pjd	92	41	,	,	PUNCT
cord-010719-90379pjd	92	42	are	be	AUX
cord-010719-90379pjd	92	43	useful	useful	ADJ
cord-010719-90379pjd	92	44	to	to	PART
cord-010719-90379pjd	92	45	describe	describe	VERB
cord-010719-90379pjd	92	46	memory	memory	NOUN
cord-010719-90379pjd	92	47	effects	effect	NOUN
cord-010719-90379pjd	92	48	in	in	ADP
cord-010719-90379pjd	92	49	dynamical	dynamical	ADJ
cord-010719-90379pjd	92	50	systems	system	NOUN
cord-010719-90379pjd	92	51	.	.	PUNCT
cord-010719-90379pjd	93	1	the	the	DET
cord-010719-90379pjd	93	2	decaying	decay	VERB
cord-010719-90379pjd	93	3	rate	rate	NOUN
cord-010719-90379pjd	93	4	of	of	ADP
cord-010719-90379pjd	93	5	the	the	DET
cord-010719-90379pjd	93	6	memory	memory	NOUN
cord-010719-90379pjd	93	7	kernel	kernel	NOUN
cord-010719-90379pjd	93	8	(	(	PUNCT
cord-010719-90379pjd	93	9	a	a	DET
cord-010719-90379pjd	93	10	time	time	NOUN
cord-010719-90379pjd	93	11	-	-	PUNCT
cord-010719-90379pjd	93	12	correlation	correlation	NOUN
cord-010719-90379pjd	93	13	function	function	NOUN
cord-010719-90379pjd	93	14	)	)	PUNCT
cord-010719-90379pjd	93	15	depends	depend	VERB
cord-010719-90379pjd	93	16	on	on	ADP
cord-010719-90379pjd	93	17	α	α	PRON
cord-010719-90379pjd	93	18	.	.	PUNCT
cord-010719-90379pjd	94	1	a	a	DET
cord-010719-90379pjd	94	2	lower	low	ADJ
cord-010719-90379pjd	94	3	value	value	NOUN
cord-010719-90379pjd	94	4	of	of	ADP
cord-010719-90379pjd	94	5	α	α	NOUN
cord-010719-90379pjd	94	6	corresponds	correspond	VERB
cord-010719-90379pjd	94	7	to	to	ADP
cord-010719-90379pjd	94	8	more	more	ADV
cord-010719-90379pjd	94	9	slowly	slowly	ADV
cord-010719-90379pjd	94	10	decaying	decay	VERB
cord-010719-90379pjd	94	11	time	time	NOUN
cord-010719-90379pjd	94	12	-	-	PUNCT
cord-010719-90379pjd	94	13	correlation	correlation	NOUN
cord-010719-90379pjd	94	14	functions	function	NOUN
cord-010719-90379pjd	94	15	(	(	PUNCT
cord-010719-90379pjd	94	16	long	long	ADJ
cord-010719-90379pjd	94	17	memory	memory	NOUN
cord-010719-90379pjd	94	18	)	)	PUNCT
cord-010719-90379pjd	94	19	.	.	PUNCT
cord-010719-90379pjd	95	1	hence	hence	ADV
cord-010719-90379pjd	95	2	,	,	PUNCT
cord-010719-90379pjd	95	3	in	in	ADP
cord-010719-90379pjd	95	4	some	some	DET
cord-010719-90379pjd	95	5	sense	sense	NOUN
cord-010719-90379pjd	95	6	,	,	PUNCT
cord-010719-90379pjd	95	7	the	the	DET
cord-010719-90379pjd	95	8	strength	strength	NOUN
cord-010719-90379pjd	95	9	(	(	PUNCT
cord-010719-90379pjd	95	10	through	through	ADP
cord-010719-90379pjd	95	11	the	the	DET
cord-010719-90379pjd	95	12	"	"	PUNCT
cord-010719-90379pjd	95	13	length	length	NOUN
cord-010719-90379pjd	95	14	"	"	PUNCT
cord-010719-90379pjd	95	15	)	)	PUNCT
cord-010719-90379pjd	95	16	of	of	ADP
cord-010719-90379pjd	95	17	the	the	DET
cord-010719-90379pjd	95	18	memory	memory	NOUN
cord-010719-90379pjd	95	19	is	be	AUX
cord-010719-90379pjd	95	20	controlled	control	VERB
cord-010719-90379pjd	95	21	by	by	ADP
cord-010719-90379pjd	95	22	α	α	PROPN
cord-010719-90379pjd	95	23	.	.	PUNCT
cord-010719-90379pjd	96	1	as	as	ADP
cord-010719-90379pjd	96	2	α	α	PROPN
cord-010719-90379pjd	96	3	→	→	SYM
cord-010719-90379pjd	96	4	1	1	NUM
cord-010719-90379pjd	96	5	,	,	PUNCT
cord-010719-90379pjd	96	6	the	the	DET
cord-010719-90379pjd	96	7	influence	influence	NOUN
cord-010719-90379pjd	96	8	of	of	ADP
cord-010719-90379pjd	96	9	memory	memory	NOUN
cord-010719-90379pjd	96	10	decreases	decrease	NOUN
cord-010719-90379pjd	96	11	:	:	PUNCT
cord-010719-90379pjd	96	12	the	the	DET
cord-010719-90379pjd	96	13	system	system	NOUN
cord-010719-90379pjd	96	14	tends	tend	VERB
cord-010719-90379pjd	96	15	toward	toward	ADP
cord-010719-90379pjd	96	16	a	a	DET
cord-010719-90379pjd	96	17	memoryless	memoryless	NOUN
cord-010719-90379pjd	96	18	system	system	NOUN
cord-010719-90379pjd	96	19	.	.	PUNCT
cord-010719-90379pjd	97	1	note	note	VERB
cord-010719-90379pjd	97	2	that	that	SCONJ
cord-010719-90379pjd	97	3	for	for	ADP
cord-010719-90379pjd	97	4	simplicity	simplicity	NOUN
cord-010719-90379pjd	97	5	,	,	PUNCT
cord-010719-90379pjd	97	6	we	we	PRON
cord-010719-90379pjd	97	7	assume	assume	VERB
cord-010719-90379pjd	97	8	the	the	DET
cord-010719-90379pjd	97	9	same	same	ADJ
cord-010719-90379pjd	97	10	memory	memory	NOUN
cord-010719-90379pjd	97	11	contributions	contribution	NOUN
cord-010719-90379pjd	97	12	(	(	PUNCT
cord-010719-90379pjd	97	13	same	same	ADJ
cord-010719-90379pjd	97	14	value	value	NOUN
cord-010719-90379pjd	97	15	of	of	ADP
cord-010719-90379pjd	97	16	α	α	NOUN
cord-010719-90379pjd	97	17	)	)	PUNCT
cord-010719-90379pjd	97	18	for	for	ADP
cord-010719-90379pjd	97	19	different	different	ADJ
cord-010719-90379pjd	97	20	states	state	NOUN
cord-010719-90379pjd	97	21	of	of	ADP
cord-010719-90379pjd	97	22	s	s	PROPN
cord-010719-90379pjd	97	23	,	,	PUNCT
cord-010719-90379pjd	97	24	i	i	PROPN
cord-010719-90379pjd	97	25	,	,	PUNCT
cord-010719-90379pjd	97	26	and	and	CCONJ
cord-010719-90379pjd	97	27	r.	r.	PROPN
cord-010719-90379pjd	97	28	obviously	obviously	ADV
cord-010719-90379pjd	97	29	,	,	PUNCT
cord-010719-90379pjd	97	30	more	more	ADV
cord-010719-90379pjd	97	31	complicated	complicated	ADJ
cord-010719-90379pjd	97	32	functions	function	NOUN
cord-010719-90379pjd	97	33	than	than	ADP
cord-010719-90379pjd	97	34	eq	eq	PROPN
cord-010719-90379pjd	97	35	.	.	PUNCT
cord-010719-90379pjd	98	1	(	(	PUNCT
cord-010719-90379pjd	98	2	3	3	NUM
cord-010719-90379pjd	98	3	)	)	PUNCT
cord-010719-90379pjd	98	4	and	and	CCONJ
cord-010719-90379pjd	98	5	taking	take	VERB
cord-010719-90379pjd	98	6	into	into	ADP
cord-010719-90379pjd	98	7	account	account	NOUN
cord-010719-90379pjd	98	8	different	different	ADJ
cord-010719-90379pjd	98	9	α	α	PROPN
cord-010719-90379pjd	99	1	i	i	PRON
cord-010719-90379pjd	99	2	(	(	PUNCT
cord-010719-90379pjd	99	3	i	i	NOUN
cord-010719-90379pjd	99	4	=	=	NOUN
cord-010719-90379pjd	99	5	1,2,3	1,2,3	NUM
cord-010719-90379pjd	99	6	)	)	PUNCT
cord-010719-90379pjd	99	7	could	could	AUX
cord-010719-90379pjd	99	8	be	be	AUX
cord-010719-90379pjd	99	9	investigated	investigate	VERB
cord-010719-90379pjd	99	10	in	in	ADP
cord-010719-90379pjd	99	11	further	further	ADJ
cord-010719-90379pjd	99	12	work	work	NOUN
cord-010719-90379pjd	99	13	to	to	PART
cord-010719-90379pjd	99	14	take	take	VERB
cord-010719-90379pjd	99	15	into	into	ADP
cord-010719-90379pjd	99	16	account	account	NOUN
cord-010719-90379pjd	99	17	different	different	ADJ
cord-010719-90379pjd	99	18	time	time	NOUN
cord-010719-90379pjd	99	19	scales	scale	NOUN
cord-010719-90379pjd	99	20	.	.	PUNCT
cord-010719-90379pjd	100	1	although	although	SCONJ
cord-010719-90379pjd	100	2	analytical	analytical	ADJ
cord-010719-90379pjd	100	3	solutions	solution	NOUN
cord-010719-90379pjd	100	4	of	of	ADP
cord-010719-90379pjd	100	5	eqs	eqs	PROPN
cord-010719-90379pjd	100	6	.	.	PUNCT
cord-010719-90379pjd	101	1	(	(	PUNCT
cord-010719-90379pjd	101	2	4	4	NUM
cord-010719-90379pjd	101	3	)	)	PUNCT
cord-010719-90379pjd	101	4	are	be	AUX
cord-010719-90379pjd	101	5	hard	hard	ADJ
cord-010719-90379pjd	101	6	to	to	PART
cord-010719-90379pjd	101	7	obtain	obtain	VERB
cord-010719-90379pjd	101	8	for	for	ADP
cord-010719-90379pjd	101	9	the	the	DET
cord-010719-90379pjd	101	10	general	general	ADJ
cord-010719-90379pjd	101	11	case	case	NOUN
cord-010719-90379pjd	101	12	,	,	PUNCT
cord-010719-90379pjd	101	13	they	they	PRON
cord-010719-90379pjd	101	14	can	can	AUX
cord-010719-90379pjd	101	15	be	be	AUX
cord-010719-90379pjd	101	16	obtained	obtain	VERB
cord-010719-90379pjd	101	17	at	at	ADP
cord-010719-90379pjd	101	18	the	the	DET
cord-010719-90379pjd	101	19	early	early	ADJ
cord-010719-90379pjd	101	20	stage	stage	NOUN
cord-010719-90379pjd	101	21	of	of	ADP
cord-010719-90379pjd	101	22	the	the	DET
cord-010719-90379pjd	101	23	epidemic	epidemic	NOUN
cord-010719-90379pjd	101	24	under	under	ADP
cord-010719-90379pjd	101	25	a	a	DET
cord-010719-90379pjd	101	26	linearization	linearization	NOUN
cord-010719-90379pjd	101	27	approximation	approximation	NOUN
cord-010719-90379pjd	101	28	.	.	PUNCT
cord-010719-90379pjd	102	1	in	in	ADP
cord-010719-90379pjd	102	2	this	this	DET
cord-010719-90379pjd	102	3	case	case	NOUN
cord-010719-90379pjd	102	4	,	,	PUNCT
cord-010719-90379pjd	102	5	it	it	PRON
cord-010719-90379pjd	102	6	turns	turn	VERB
cord-010719-90379pjd	102	7	out	out	ADP
cord-010719-90379pjd	102	8	that	that	SCONJ
cord-010719-90379pjd	102	9	the	the	DET
cord-010719-90379pjd	102	10	number	number	NOUN
cord-010719-90379pjd	102	11	of	of	ADP
cord-010719-90379pjd	102	12	infected	infected	ADJ
cord-010719-90379pjd	102	13	individuals	individual	NOUN
cord-010719-90379pjd	102	14	behaves	behave	VERB
cord-010719-90379pjd	102	15	as	as	ADP
cord-010719-90379pjd	102	16	a	a	DET
cord-010719-90379pjd	102	17	mittag	mittag	NOUN
cord-010719-90379pjd	102	18	-	-	PUNCT
cord-010719-90379pjd	102	19	leffler	leffl	ADJ
cord-010719-90379pjd	102	20	function	function	NOUN
cord-010719-90379pjd	102	21	[	[	PUNCT
cord-010719-90379pjd	102	22	52	52	NUM
cord-010719-90379pjd	102	23	]	]	PUNCT
cord-010719-90379pjd	102	24	:	:	PUNCT
cord-010719-90379pjd	102	25	in	in	ADP
cord-010719-90379pjd	102	26	which	which	PRON
cord-010719-90379pjd	102	27	ζ	ζ	NOUN
cord-010719-90379pjd	102	28	is	be	AUX
cord-010719-90379pjd	102	29	a	a	DET
cord-010719-90379pjd	102	30	constant	constant	ADJ
cord-010719-90379pjd	102	31	,	,	PUNCT
cord-010719-90379pjd	102	32	which	which	PRON
cord-010719-90379pjd	102	33	depends	depend	VERB
cord-010719-90379pjd	102	34	on	on	ADP
cord-010719-90379pjd	102	35	the	the	DET
cord-010719-90379pjd	102	36	initial	initial	ADJ
cord-010719-90379pjd	102	37	conditions	condition	NOUN
cord-010719-90379pjd	102	38	[	[	X
cord-010719-90379pjd	102	39	52	52	NUM
cord-010719-90379pjd	102	40	]	]	PUNCT
cord-010719-90379pjd	102	41	.	.	PUNCT
cord-010719-90379pjd	103	1	in	in	ADP
cord-010719-90379pjd	103	2	particular	particular	ADJ
cord-010719-90379pjd	103	3	,	,	PUNCT
cord-010719-90379pjd	103	4	for	for	ADP
cord-010719-90379pjd	103	5	α	α	PRON
cord-010719-90379pjd	103	6	=	=	NOUN
cord-010719-90379pjd	103	7	ζ	ζ	NOUN
cord-010719-90379pjd	103	8	=	=	NOUN
cord-010719-90379pjd	103	9	1	1	NUM
cord-010719-90379pjd	103	10	,	,	PUNCT
cord-010719-90379pjd	103	11	the	the	DET
cord-010719-90379pjd	103	12	mittag	mittag	PROPN
cord-010719-90379pjd	103	13	-	-	PUNCT
cord-010719-90379pjd	103	14	leffler	leffler	NOUN
cord-010719-90379pjd	103	15	function	function	NOUN
cord-010719-90379pjd	103	16	is	be	AUX
cord-010719-90379pjd	103	17	the	the	DET
cord-010719-90379pjd	103	18	exponential	exponential	ADJ
cord-010719-90379pjd	103	19	function	function	NOUN
cord-010719-90379pjd	103	20	.	.	PUNCT
cord-010719-90379pjd	104	1	thus	thus	ADV
cord-010719-90379pjd	104	2	,	,	PUNCT
cord-010719-90379pjd	104	3	in	in	ADP
cord-010719-90379pjd	104	4	the	the	DET
cord-010719-90379pjd	104	5	early	early	ADJ
cord-010719-90379pjd	104	6	stage	stage	NOUN
cord-010719-90379pjd	104	7	of	of	ADP
cord-010719-90379pjd	104	8	epidemic	epidemic	NOUN
cord-010719-90379pjd	104	9	dynamics	dynamic	NOUN
cord-010719-90379pjd	104	10	,	,	PUNCT
cord-010719-90379pjd	104	11	the	the	DET
cord-010719-90379pjd	104	12	growth	growth	NOUN
cord-010719-90379pjd	104	13	rate	rate	NOUN
cord-010719-90379pjd	104	14	of	of	ADP
cord-010719-90379pjd	104	15	the	the	DET
cord-010719-90379pjd	104	16	infected	infected	ADJ
cord-010719-90379pjd	104	17	population	population	NOUN
cord-010719-90379pjd	104	18	in	in	ADP
cord-010719-90379pjd	104	19	eq	eq	PROPN
cord-010719-90379pjd	104	20	.	.	PUNCT
cord-010719-90379pjd	104	21	(	(	PUNCT
cord-010719-90379pjd	104	22	6	6	NUM
cord-010719-90379pjd	104	23	)	)	PUNCT
cord-010719-90379pjd	104	24	is	be	AUX
cord-010719-90379pjd	104	25	positive	positive	ADJ
cord-010719-90379pjd	104	26	,	,	PUNCT
cord-010719-90379pjd	104	27	if	if	SCONJ
cord-010719-90379pjd	104	28	β	β	PROPN
cord-010719-90379pjd	104	29	−	−	PUNCT
cord-010719-90379pjd	104	30	γ	γ	X
cord-010719-90379pjd	104	31	>	>	X
cord-010719-90379pjd	104	32	0	0	NUM
cord-010719-90379pjd	104	33	.	.	PUNCT
cord-010719-90379pjd	105	1	therefore	therefore	ADV
cord-010719-90379pjd	105	2	,	,	PUNCT
cord-010719-90379pjd	105	3	the	the	DET
cord-010719-90379pjd	105	4	number	number	NOUN
cord-010719-90379pjd	105	5	of	of	ADP
cord-010719-90379pjd	105	6	infected	infected	ADJ
cord-010719-90379pjd	105	7	individuals	individual	NOUN
cord-010719-90379pjd	105	8	grows	grow	VERB
cord-010719-90379pjd	105	9	exponentially	exponentially	ADV
cord-010719-90379pjd	105	10	in	in	ADP
cord-010719-90379pjd	105	11	such	such	DET
cord-010719-90379pjd	105	12	a	a	DET
cord-010719-90379pjd	105	13	case	case	NOUN
cord-010719-90379pjd	105	14	,	,	PUNCT
cord-010719-90379pjd	105	15	for	for	ADP
cord-010719-90379pjd	105	16	β	β	X
cord-010719-90379pjd	105	17	>	>	X
cord-010719-90379pjd	105	18	γ	γ	PROPN
cord-010719-90379pjd	105	19	,	,	PUNCT
cord-010719-90379pjd	105	20	as	as	SCONJ
cord-010719-90379pjd	105	21	of	of	ADP
cord-010719-90379pjd	105	22	course	course	NOUN
cord-010719-90379pjd	105	23	is	be	AUX
cord-010719-90379pjd	105	24	expected	expect	VERB
cord-010719-90379pjd	105	25	for	for	ADP
cord-010719-90379pjd	105	26	the	the	DET
cord-010719-90379pjd	105	27	standard	standard	ADJ
cord-010719-90379pjd	105	28	memoryless	memoryless	NOUN
cord-010719-90379pjd	105	29	sir	sir	PROPN
cord-010719-90379pjd	105	30	model	model	NOUN
cord-010719-90379pjd	105	31	.	.	PUNCT
cord-010719-90379pjd	106	1	the	the	DET
cord-010719-90379pjd	106	2	same	same	ADJ
cord-010719-90379pjd	106	3	reasoning	reasoning	NOUN
cord-010719-90379pjd	106	4	applies	apply	VERB
cord-010719-90379pjd	106	5	in	in	ADP
cord-010719-90379pjd	106	6	order	order	NOUN
cord-010719-90379pjd	106	7	to	to	PART
cord-010719-90379pjd	106	8	determine	determine	VERB
cord-010719-90379pjd	106	9	the	the	DET
cord-010719-90379pjd	106	10	epidemic	epidemic	NOUN
cord-010719-90379pjd	106	11	threshold	threshold	NOUN
cord-010719-90379pjd	106	12	for	for	ADP
cord-010719-90379pjd	106	13	α	α	X
cord-010719-90379pjd	106	14	<	<	X
cord-010719-90379pjd	106	15	1	1	NUM
cord-010719-90379pjd	106	16	.	.	PUNCT
cord-010719-90379pjd	107	1	let	let	VERB
cord-010719-90379pjd	107	2	it	it	PRON
cord-010719-90379pjd	107	3	be	be	AUX
cord-010719-90379pjd	107	4	reemphasized	reemphasize	VERB
cord-010719-90379pjd	107	5	that	that	SCONJ
cord-010719-90379pjd	107	6	eqs	eqs	PROPN
cord-010719-90379pjd	107	7	.	.	PUNCT
cord-010719-90379pjd	108	1	(	(	PUNCT
cord-010719-90379pjd	108	2	4	4	X
cord-010719-90379pjd	108	3	)	)	PUNCT
cord-010719-90379pjd	108	4	consist	consist	VERB
cord-010719-90379pjd	108	5	in	in	ADP
cord-010719-90379pjd	108	6	a	a	DET
cord-010719-90379pjd	108	7	system	system	NOUN
cord-010719-90379pjd	108	8	of	of	ADP
cord-010719-90379pjd	108	9	coupled	couple	VERB
cord-010719-90379pjd	108	10	nonlinear	nonlinear	ADJ
cord-010719-90379pjd	108	11	differential	differential	ADJ
cord-010719-90379pjd	108	12	equations	equation	NOUN
cord-010719-90379pjd	108	13	of	of	ADP
cord-010719-90379pjd	108	14	fractional	fractional	ADJ
cord-010719-90379pjd	108	15	order	order	NOUN
cord-010719-90379pjd	108	16	,	,	PUNCT
cord-010719-90379pjd	108	17	in	in	ADP
cord-010719-90379pjd	108	18	the	the	DET
cord-010719-90379pjd	108	19	following	follow	VERB
cord-010719-90379pjd	108	20	general	general	ADJ
cord-010719-90379pjd	108	21	form	form	NOUN
cord-010719-90379pjd	108	22	:	:	PUNCT
cord-010719-90379pjd	108	23	where	where	SCONJ
cord-010719-90379pjd	108	24	i	i	PRON
cord-010719-90379pjd	108	25	=	=	NOUN
cord-010719-90379pjd	108	26	1,2,3	1,2,3	NUM
cord-010719-90379pjd	108	27	and	and	CCONJ
cord-010719-90379pjd	108	28	y	y	PROPN
cord-010719-90379pjd	108	29	(	(	PUNCT
cord-010719-90379pjd	108	30	1	1	NUM
cord-010719-90379pjd	108	31	)	)	PUNCT
cord-010719-90379pjd	108	32	,	,	PUNCT
cord-010719-90379pjd	108	33	y	y	PROPN
cord-010719-90379pjd	108	34	(	(	PUNCT
cord-010719-90379pjd	108	35	2	2	NUM
cord-010719-90379pjd	108	36	)	)	PUNCT
cord-010719-90379pjd	108	37	,	,	PUNCT
cord-010719-90379pjd	108	38	y	y	PROPN
cord-010719-90379pjd	108	39	(	(	PUNCT
cord-010719-90379pjd	108	40	3	3	NUM
cord-010719-90379pjd	108	41	)	)	PUNCT
cord-010719-90379pjd	108	42	denote	denote	PROPN
cord-010719-90379pjd	108	43	s	s	PROPN
cord-010719-90379pjd	108	44	,	,	PUNCT
cord-010719-90379pjd	108	45	i	i	NOUN
cord-010719-90379pjd	108	46	,	,	PUNCT
cord-010719-90379pjd	108	47	r	r	NOUN
cord-010719-90379pjd	108	48	cases	case	NOUN
cord-010719-90379pjd	108	49	,	,	PUNCT
cord-010719-90379pjd	108	50	respectively	respectively	ADV
cord-010719-90379pjd	108	51	.	.	PUNCT
cord-010719-90379pjd	109	1	also	also	ADV
cord-010719-90379pjd	109	2	,	,	PUNCT
cord-010719-90379pjd	109	3	y	y	PROPN
cord-010719-90379pjd	109	4	(	(	PUNCT
cord-010719-90379pjd	109	5	i0	i0	PROPN
cord-010719-90379pjd	109	6	)	)	PUNCT
cord-010719-90379pjd	109	7	are	be	AUX
cord-010719-90379pjd	109	8	constants	constant	NOUN
cord-010719-90379pjd	109	9	which	which	PRON
cord-010719-90379pjd	109	10	indicate	indicate	VERB
cord-010719-90379pjd	109	11	the	the	DET
cord-010719-90379pjd	109	12	initial	initial	ADJ
cord-010719-90379pjd	109	13	conditions	condition	NOUN
cord-010719-90379pjd	109	14	.	.	PUNCT
cord-010719-90379pjd	110	1	to	to	PART
cord-010719-90379pjd	110	2	solve	solve	VERB
cord-010719-90379pjd	110	3	the	the	DET
cord-010719-90379pjd	110	4	equations	equation	NOUN
cord-010719-90379pjd	110	5	,	,	PUNCT
cord-010719-90379pjd	110	6	we	we	PRON
cord-010719-90379pjd	110	7	use	use	VERB
cord-010719-90379pjd	110	8	the	the	DET
cord-010719-90379pjd	110	9	predictor	predictor	NOUN
cord-010719-90379pjd	110	10	-	-	PUNCT
cord-010719-90379pjd	110	11	corrector	corrector	NOUN
cord-010719-90379pjd	110	12	algorithm	algorithm	NOUN
cord-010719-90379pjd	110	13	,	,	PUNCT
cord-010719-90379pjd	110	14	which	which	PRON
cord-010719-90379pjd	110	15	is	be	AUX
cord-010719-90379pjd	110	16	well	well	ADV
cord-010719-90379pjd	110	17	known	known	ADJ
cord-010719-90379pjd	110	18	for	for	ADP
cord-010719-90379pjd	110	19	obtaining	obtain	VERB
cord-010719-90379pjd	110	20	a	a	DET
cord-010719-90379pjd	110	21	numerical	numerical	ADJ
cord-010719-90379pjd	110	22	solution	solution	NOUN
cord-010719-90379pjd	110	23	of	of	ADP
cord-010719-90379pjd	110	24	first	first	ADJ
cord-010719-90379pjd	110	25	-	-	PUNCT
cord-010719-90379pjd	110	26	order	order	NOUN
cord-010719-90379pjd	110	27	problems	problem	NOUN
cord-010719-90379pjd	110	28	[	[	X
cord-010719-90379pjd	110	29	61	61	NUM
cord-010719-90379pjd	110	30	]	]	X
cord-010719-90379pjd	110	31	[	[	X
cord-010719-90379pjd	110	32	62	62	NUM
cord-010719-90379pjd	110	33	]	]	PUNCT
cord-010719-90379pjd	110	34	[	[	X
cord-010719-90379pjd	110	35	63	63	NUM
cord-010719-90379pjd	110	36	]	]	PUNCT
cord-010719-90379pjd	110	37	.	.	PUNCT
cord-010719-90379pjd	111	1	it	it	PRON
cord-010719-90379pjd	111	2	is	be	AUX
cord-010719-90379pjd	111	3	assumed	assume	VERB
cord-010719-90379pjd	111	4	that	that	SCONJ
cord-010719-90379pjd	111	5	there	there	PRON
cord-010719-90379pjd	111	6	exits	exit	VERB
cord-010719-90379pjd	111	7	a	a	DET
cord-010719-90379pjd	111	8	unique	unique	ADJ
cord-010719-90379pjd	111	9	solution	solution	NOUN
cord-010719-90379pjd	111	10	for	for	ADP
cord-010719-90379pjd	111	11	each	each	PRON
cord-010719-90379pjd	111	12	of	of	ADP
cord-010719-90379pjd	111	13	y	y	PROPN
cord-010719-90379pjd	111	14	(	(	PUNCT
cord-010719-90379pjd	111	15	i	i	NOUN
cord-010719-90379pjd	111	16	)	)	PUNCT
cord-010719-90379pjd	111	17	on	on	ADP
cord-010719-90379pjd	111	18	the	the	DET
cord-010719-90379pjd	111	19	interval	interval	NOUN
cord-010719-90379pjd	111	20	[	[	X
cord-010719-90379pjd	111	21	0,t	0,t	X
cord-010719-90379pjd	111	22	]	]	X
cord-010719-90379pjd	111	23	for	for	ADP
cord-010719-90379pjd	111	24	a	a	DET
cord-010719-90379pjd	111	25	given	give	VERB
cord-010719-90379pjd	111	26	set	set	NOUN
cord-010719-90379pjd	111	27	of	of	ADP
cord-010719-90379pjd	111	28	initial	initial	ADJ
cord-010719-90379pjd	111	29	conditions	condition	NOUN
cord-010719-90379pjd	111	30	.	.	PUNCT
cord-010719-90379pjd	112	1	considering	consider	VERB
cord-010719-90379pjd	112	2	a	a	DET
cord-010719-90379pjd	112	3	uniform	uniform	ADJ
cord-010719-90379pjd	112	4	grid	grid	NOUN
cord-010719-90379pjd	112	5	{	{	PUNCT
cord-010719-90379pjd	112	6	t	t	PROPN
cord-010719-90379pjd	112	7	n	n	PROPN
cord-010719-90379pjd	112	8	=	=	PROPN
cord-010719-90379pjd	112	9	nh	nh	PROPN
cord-010719-90379pjd	112	10	:	:	PUNCT
cord-010719-90379pjd	112	11	n	n	PROPN
cord-010719-90379pjd	112	12	=	=	NOUN
cord-010719-90379pjd	112	13	0,1,2	0,1,2	NUM
cord-010719-90379pjd	112	14	,	,	PUNCT
cord-010719-90379pjd	112	15	.	.	PUNCT
cord-010719-90379pjd	112	16	.	.	PUNCT
cord-010719-90379pjd	112	17	.	.	PUNCT
cord-010719-90379pjd	113	1	,	,	PUNCT
cord-010719-90379pjd	113	2	n	n	X
cord-010719-90379pjd	113	3	}	}	PUNCT
cord-010719-90379pjd	113	4	,	,	PUNCT
cord-010719-90379pjd	113	5	in	in	ADP
cord-010719-90379pjd	113	6	which	which	PRON
cord-010719-90379pjd	113	7	n	n	ADV
cord-010719-90379pjd	113	8	is	be	AUX
cord-010719-90379pjd	113	9	an	an	DET
cord-010719-90379pjd	113	10	integer	integer	NOUN
cord-010719-90379pjd	113	11	and	and	CCONJ
cord-010719-90379pjd	113	12	h	h	PROPN
cord-010719-90379pjd	113	13	≡	≡	NOUN
cord-010719-90379pjd	113	14	t	t	NOUN
cord-010719-90379pjd	113	15	/n	/n	PUNCT
cord-010719-90379pjd	113	16	,	,	PUNCT
cord-010719-90379pjd	113	17	each	each	DET
cord-010719-90379pjd	113	18	eq	eq	PROPN
cord-010719-90379pjd	113	19	.	.	PUNCT
cord-010719-90379pjd	114	1	(	(	PUNCT
cord-010719-90379pjd	114	2	7	7	NUM
cord-010719-90379pjd	114	3	)	)	PUNCT
cord-010719-90379pjd	114	4	can	can	AUX
cord-010719-90379pjd	114	5	be	be	AUX
cord-010719-90379pjd	114	6	rewritten	rewrite	VERB
cord-010719-90379pjd	114	7	in	in	ADP
cord-010719-90379pjd	114	8	a	a	DET
cord-010719-90379pjd	114	9	discrete	discrete	ADJ
cord-010719-90379pjd	114	10	form	form	NOUN
cord-010719-90379pjd	114	11	,	,	PUNCT
cord-010719-90379pjd	114	12	where	where	SCONJ
cord-010719-90379pjd	114	13	the	the	DET
cord-010719-90379pjd	114	14	coefficients	coefficient	NOUN
cord-010719-90379pjd	114	15	b	b	X
cord-010719-90379pjd	114	16	n−k−1	n−k−1	PROPN
cord-010719-90379pjd	114	17	refer	refer	VERB
cord-010719-90379pjd	114	18	to	to	ADP
cord-010719-90379pjd	114	19	the	the	DET
cord-010719-90379pjd	114	20	contribution	contribution	NOUN
cord-010719-90379pjd	114	21	of	of	ADP
cord-010719-90379pjd	114	22	each	each	PRON
cord-010719-90379pjd	114	23	of	of	ADP
cord-010719-90379pjd	114	24	the	the	DET
cord-010719-90379pjd	114	25	n	n	NOUN
cord-010719-90379pjd	114	26	−	−	SYM
cord-010719-90379pjd	114	27	1	1	NUM
cord-010719-90379pjd	114	28	past	past	ADP
cord-010719-90379pjd	114	29	states	state	NOUN
cord-010719-90379pjd	114	30	on	on	ADP
cord-010719-90379pjd	114	31	the	the	DET
cord-010719-90379pjd	114	32	present	present	ADJ
cord-010719-90379pjd	114	33	state	state	NOUN
cord-010719-90379pjd	114	34	of	of	ADP
cord-010719-90379pjd	114	35	n.	n.	PROPN
cord-010719-90379pjd	114	36	the	the	DET
cord-010719-90379pjd	114	37	coefficients	coefficient	NOUN
cord-010719-90379pjd	114	38	are	be	AUX
cord-010719-90379pjd	114	39	given	give	VERB
cord-010719-90379pjd	114	40	by	by	ADP
cord-010719-90379pjd	114	41	thereby	thereby	ADV
cord-010719-90379pjd	114	42	after	after	ADP
cord-010719-90379pjd	114	43	solving	solve	VERB
cord-010719-90379pjd	114	44	eq	eq	PROPN
cord-010719-90379pjd	114	45	.	.	PUNCT
cord-010719-90379pjd	115	1	(	(	PUNCT
cord-010719-90379pjd	115	2	7	7	NUM
cord-010719-90379pjd	115	3	)	)	PUNCT
cord-010719-90379pjd	115	4	,	,	PUNCT
cord-010719-90379pjd	115	5	numerically	numerically	ADV
cord-010719-90379pjd	115	6	,	,	PUNCT
cord-010719-90379pjd	115	7	the	the	DET
cord-010719-90379pjd	115	8	influence	influence	NOUN
cord-010719-90379pjd	115	9	of	of	ADP
cord-010719-90379pjd	115	10	memory	memory	NOUN
cord-010719-90379pjd	115	11	on	on	ADP
cord-010719-90379pjd	115	12	the	the	DET
cord-010719-90379pjd	115	13	evolution	evolution	NOUN
cord-010719-90379pjd	115	14	of	of	ADP
cord-010719-90379pjd	115	15	the	the	DET
cord-010719-90379pjd	115	16	sir	sir	PROPN
cord-010719-90379pjd	115	17	epidemic	epidemic	NOUN
cord-010719-90379pjd	115	18	model	model	NOUN
cord-010719-90379pjd	115	19	can	can	AUX
cord-010719-90379pjd	115	20	be	be	AUX
cord-010719-90379pjd	115	21	analyzed	analyze	VERB
cord-010719-90379pjd	115	22	.	.	PUNCT
cord-010719-90379pjd	116	1	as	as	SCONJ
cord-010719-90379pjd	116	2	mentioned	mention	VERB
cord-010719-90379pjd	116	3	in	in	ADP
cord-010719-90379pjd	116	4	the	the	DET
cord-010719-90379pjd	116	5	introduction	introduction	NOUN
cord-010719-90379pjd	116	6	,	,	PUNCT
cord-010719-90379pjd	116	7	let	let	VERB
cord-010719-90379pjd	116	8	us	we	PRON
cord-010719-90379pjd	116	9	consider	consider	VERB
cord-010719-90379pjd	116	10	two	two	NUM
cord-010719-90379pjd	116	11	pertinent	pertinent	ADJ
cord-010719-90379pjd	116	12	aspects	aspect	NOUN
cord-010719-90379pjd	116	13	successively	successively	ADV
cord-010719-90379pjd	116	14	:	:	PUNCT
cord-010719-90379pjd	116	15	the	the	DET
cord-010719-90379pjd	116	16	finite	finite	ADJ
cord-010719-90379pjd	116	17	time	time	NOUN
cord-010719-90379pjd	116	18	behavior	behavior	NOUN
cord-010719-90379pjd	116	19	and	and	CCONJ
cord-010719-90379pjd	116	20	the	the	DET
cord-010719-90379pjd	116	21	role	role	NOUN
cord-010719-90379pjd	116	22	of	of	ADP
cord-010719-90379pjd	116	23	changing	change	VERB
cord-010719-90379pjd	116	24	initial	initial	ADJ
cord-010719-90379pjd	116	25	conditions	condition	NOUN
cord-010719-90379pjd	116	26	.	.	PUNCT
cord-010719-90379pjd	117	1	let	let	VERB
cord-010719-90379pjd	117	2	us	we	PRON
cord-010719-90379pjd	117	3	compare	compare	VERB
cord-010719-90379pjd	117	4	the	the	DET
cord-010719-90379pjd	117	5	evolution	evolution	NOUN
cord-010719-90379pjd	117	6	of	of	ADP
cord-010719-90379pjd	117	7	a	a	DET
cord-010719-90379pjd	117	8	system	system	NOUN
cord-010719-90379pjd	117	9	including	include	VERB
cord-010719-90379pjd	117	10	memory	memory	NOUN
cord-010719-90379pjd	117	11	effects	effect	NOUN
cord-010719-90379pjd	117	12	with	with	ADP
cord-010719-90379pjd	117	13	the	the	DET
cord-010719-90379pjd	117	14	memoryless	memoryless	NOUN
cord-010719-90379pjd	117	15	case	case	NOUN
cord-010719-90379pjd	117	16	.	.	PUNCT
cord-010719-90379pjd	118	1	we	we	PRON
cord-010719-90379pjd	118	2	solve	solve	VERB
cord-010719-90379pjd	118	3	eq	eq	PROPN
cord-010719-90379pjd	118	4	.	.	PUNCT
cord-010719-90379pjd	119	1	(	(	PUNCT
cord-010719-90379pjd	119	2	7	7	NUM
cord-010719-90379pjd	119	3	)	)	PUNCT
cord-010719-90379pjd	119	4	with	with	ADP
cord-010719-90379pjd	119	5	initial	initial	ADJ
cord-010719-90379pjd	119	6	conditions	condition	NOUN
cord-010719-90379pjd	119	7	y	y	PROPN
cord-010719-90379pjd	119	8	(	(	PUNCT
cord-010719-90379pjd	119	9	10	10	NUM
cord-010719-90379pjd	119	10	)	)	PUNCT
cord-010719-90379pjd	119	11	=	=	SYM
cord-010719-90379pjd	119	12	s	s	X
cord-010719-90379pjd	119	13	0	0	NUM
cord-010719-90379pjd	119	14	=	=	SYM
cord-010719-90379pjd	119	15	1	1	NUM
cord-010719-90379pjd	119	16	−	−	PROPN
cord-010719-90379pjd	119	17	,	,	PUNCT
cord-010719-90379pjd	119	18	y	y	PROPN
cord-010719-90379pjd	119	19	(	(	PUNCT
cord-010719-90379pjd	119	20	20	20	NUM
cord-010719-90379pjd	119	21	)	)	PUNCT
cord-010719-90379pjd	119	22	=	=	NOUN
cord-010719-90379pjd	119	23	i	i	NOUN
cord-010719-90379pjd	119	24	0	0	NUM
cord-010719-90379pjd	119	25	=	=	X
cord-010719-90379pjd	119	26	.	.	PUNCT
cord-010719-90379pjd	120	1	figure	figure	NOUN
cord-010719-90379pjd	120	2	1	1	NUM
cord-010719-90379pjd	120	3	is	be	AUX
cord-010719-90379pjd	120	4	zero	zero	NUM
cord-010719-90379pjd	120	5	(	(	PUNCT
cord-010719-90379pjd	120	6	with	with	ADP
cord-010719-90379pjd	120	7	accuracy	accuracy	NOUN
cord-010719-90379pjd	120	8	10	10	NUM
cord-010719-90379pjd	120	9	−4	−4	NUM
cord-010719-90379pjd	120	10	)	)	PUNCT
cord-010719-90379pjd	120	11	for	for	ADP
cord-010719-90379pjd	120	12	small	small	ADJ
cord-010719-90379pjd	120	13	values	value	NOUN
cord-010719-90379pjd	120	14	of	of	ADP
cord-010719-90379pjd	120	15	β	β	NOUN
cord-010719-90379pjd	120	16	/	/	SYM
cord-010719-90379pjd	120	17	γ	γ	PROPN
cord-010719-90379pjd	120	18	.	.	PUNCT
cord-010719-90379pjd	121	1	the	the	DET
cord-010719-90379pjd	121	2	specific	specific	ADJ
cord-010719-90379pjd	121	3	value	value	NOUN
cord-010719-90379pjd	121	4	of	of	ADP
cord-010719-90379pjd	121	5	β	β	PROPN
cord-010719-90379pjd	121	6	/	/	SYM
cord-010719-90379pjd	121	7	γ	γ	PROPN
cord-010719-90379pjd	121	8	,	,	PUNCT
cord-010719-90379pjd	121	9	in	in	ADP
cord-010719-90379pjd	121	10	which	which	PRON
cord-010719-90379pjd	121	11	the	the	DET
cord-010719-90379pjd	121	12	epidemic	epidemic	NOUN
cord-010719-90379pjd	121	13	size	size	NOUN
cord-010719-90379pjd	121	14	starts	start	VERB
cord-010719-90379pjd	121	15	to	to	PART
cord-010719-90379pjd	121	16	get	get	VERB
cord-010719-90379pjd	121	17	a	a	DET
cord-010719-90379pjd	121	18	nonzero	nonzero	NOUN
cord-010719-90379pjd	121	19	value	value	NOUN
cord-010719-90379pjd	121	20	,	,	PUNCT
cord-010719-90379pjd	121	21	is	be	AUX
cord-010719-90379pjd	121	22	identified	identify	VERB
cord-010719-90379pjd	121	23	as	as	ADP
cord-010719-90379pjd	121	24	the	the	DET
cord-010719-90379pjd	121	25	epidemic	epidemic	NOUN
cord-010719-90379pjd	121	26	threshold	threshold	NOUN
cord-010719-90379pjd	121	27	point	point	NOUN
cord-010719-90379pjd	121	28	.	.	PUNCT
cord-010719-90379pjd	122	1	the	the	DET
cord-010719-90379pjd	122	2	stationary	stationary	ADJ
cord-010719-90379pjd	122	3	time	time	NOUN
cord-010719-90379pjd	122	4	for	for	ADP
cord-010719-90379pjd	122	5	a	a	DET
cord-010719-90379pjd	122	6	memoryless	memoryless	NOUN
cord-010719-90379pjd	122	7	system	system	NOUN
cord-010719-90379pjd	122	8	(	(	PUNCT
cord-010719-90379pjd	122	9	α	α	PROPN
cord-010719-90379pjd	122	10	=	=	NOUN
cord-010719-90379pjd	122	11	1	1	NUM
cord-010719-90379pjd	122	12	)	)	PUNCT
cord-010719-90379pjd	122	13	is	be	AUX
cord-010719-90379pjd	122	14	t	t	NOUN
cord-010719-90379pjd	122	15	=	=	NOUN
cord-010719-90379pjd	122	16	100	100	NUM
cord-010719-90379pjd	122	17	.	.	PUNCT
cord-010719-90379pjd	123	1	with	with	ADP
cord-010719-90379pjd	123	2	decreasing	decrease	VERB
cord-010719-90379pjd	123	3	the	the	DET
cord-010719-90379pjd	123	4	value	value	NOUN
cord-010719-90379pjd	123	5	of	of	ADP
cord-010719-90379pjd	123	6	α	α	PRON
cord-010719-90379pjd	123	7	(	(	PUNCT
cord-010719-90379pjd	123	8	including	include	VERB
cord-010719-90379pjd	123	9	memory	memory	NOUN
cord-010719-90379pjd	123	10	)	)	PUNCT
cord-010719-90379pjd	123	11	the	the	DET
cord-010719-90379pjd	123	12	system	system	NOUN
cord-010719-90379pjd	123	13	needs	need	VERB
cord-010719-90379pjd	123	14	much	much	ADJ
cord-010719-90379pjd	123	15	time	time	NOUN
cord-010719-90379pjd	123	16	to	to	PART
cord-010719-90379pjd	123	17	reach	reach	VERB
cord-010719-90379pjd	123	18	the	the	DET
cord-010719-90379pjd	123	19	stationary	stationary	ADJ
cord-010719-90379pjd	123	20	state	state	NOUN
cord-010719-90379pjd	123	21	.	.	PUNCT
cord-010719-90379pjd	124	1	hence	hence	ADV
cord-010719-90379pjd	124	2	at	at	ADP
cord-010719-90379pjd	124	3	t	t	PROPN
cord-010719-90379pjd	124	4	=	=	PROPN
cord-010719-90379pjd	124	5	100	100	NUM
cord-010719-90379pjd	124	6	,	,	PUNCT
cord-010719-90379pjd	124	7	the	the	DET
cord-010719-90379pjd	124	8	threshold	threshold	NOUN
cord-010719-90379pjd	124	9	point	point	NOUN
cord-010719-90379pjd	124	10	is	be	AUX
cord-010719-90379pjd	124	11	shifted	shift	VERB
cord-010719-90379pjd	124	12	to	to	ADP
cord-010719-90379pjd	124	13	the	the	DET
cord-010719-90379pjd	124	14	higher	high	ADJ
cord-010719-90379pjd	124	15	value	value	NOUN
cord-010719-90379pjd	124	16	of	of	ADP
cord-010719-90379pjd	124	17	β	β	PROPN
cord-010719-90379pjd	124	18	/	/	SYM
cord-010719-90379pjd	124	19	γ	γ	NOUN
cord-010719-90379pjd	124	20	.	.	PUNCT
cord-010719-90379pjd	125	1	figure	figure	VERB
cord-010719-90379pjd	125	2	2	2	NUM
cord-010719-90379pjd	125	3	shows	show	VERB
cord-010719-90379pjd	125	4	that	that	SCONJ
cord-010719-90379pjd	125	5	the	the	DET
cord-010719-90379pjd	125	6	threshold	threshold	NOUN
cord-010719-90379pjd	125	7	point	point	NOUN
cord-010719-90379pjd	125	8	is	be	AUX
cord-010719-90379pjd	125	9	increased	increase	VERB
cord-010719-90379pjd	125	10	with	with	ADP
cord-010719-90379pjd	125	11	decreasing	decrease	VERB
cord-010719-90379pjd	125	12	of	of	ADP
cord-010719-90379pjd	125	13	α	α	PRON
cord-010719-90379pjd	125	14	for	for	ADP
cord-010719-90379pjd	125	15	a	a	DET
cord-010719-90379pjd	125	16	finite	finite	ADJ
cord-010719-90379pjd	125	17	time	time	NOUN
cord-010719-90379pjd	125	18	t.	t.	PROPN
cord-010719-90379pjd	125	19	furthermore	furthermore	ADV
cord-010719-90379pjd	125	20	,	,	PUNCT
cord-010719-90379pjd	125	21	as	as	SCONJ
cord-010719-90379pjd	125	22	can	can	AUX
cord-010719-90379pjd	125	23	be	be	AUX
cord-010719-90379pjd	125	24	seen	see	VERB
cord-010719-90379pjd	125	25	in	in	ADP
cord-010719-90379pjd	125	26	fig	fig	NOUN
cord-010719-90379pjd	125	27	.	.	PUNCT
cord-010719-90379pjd	125	28	1	1	NUM
cord-010719-90379pjd	125	29	,	,	PUNCT
cord-010719-90379pjd	125	30	the	the	DET
cord-010719-90379pjd	125	31	size	size	NOUN
cord-010719-90379pjd	125	32	of	of	ADP
cord-010719-90379pjd	125	33	outbreaks	outbreak	NOUN
cord-010719-90379pjd	125	34	decreases	decrease	VERB
cord-010719-90379pjd	125	35	for	for	ADP
cord-010719-90379pjd	125	36	decreasing	decrease	VERB
cord-010719-90379pjd	125	37	α	α	NOUN
cord-010719-90379pjd	125	38	.	.	PUNCT
cord-010719-90379pjd	126	1	let	let	VERB
cord-010719-90379pjd	126	2	the	the	DET
cord-010719-90379pjd	126	3	interval	interval	NOUN
cord-010719-90379pjd	126	4	[	[	X
cord-010719-90379pjd	126	5	t	t	NOUN
cord-010719-90379pjd	126	6	0	0	NUM
cord-010719-90379pjd	126	7	,	,	PUNCT
cord-010719-90379pjd	126	8	t	t	NOUN
cord-010719-90379pjd	126	9	]	]	X
cord-010719-90379pjd	126	10	be	be	AUX
cord-010719-90379pjd	126	11	the	the	DET
cord-010719-90379pjd	126	12	time	time	NOUN
cord-010719-90379pjd	126	13	interval	interval	NOUN
cord-010719-90379pjd	126	14	in	in	ADP
cord-010719-90379pjd	126	15	which	which	PRON
cord-010719-90379pjd	126	16	memory	memory	NOUN
cord-010719-90379pjd	126	17	effects	effect	NOUN
cord-010719-90379pjd	126	18	are	be	AUX
cord-010719-90379pjd	126	19	taken	take	VERB
cord-010719-90379pjd	126	20	into	into	ADP
cord-010719-90379pjd	126	21	account	account	NOUN
cord-010719-90379pjd	126	22	.	.	PUNCT
cord-010719-90379pjd	127	1	in	in	ADP
cord-010719-90379pjd	127	2	fig	fig	NOUN
cord-010719-90379pjd	127	3	.	.	PUNCT
cord-010719-90379pjd	128	1	3	3	NUM
cord-010719-90379pjd	128	2	,	,	PUNCT
cord-010719-90379pjd	128	3	we	we	PRON
cord-010719-90379pjd	128	4	compare	compare	VERB
cord-010719-90379pjd	128	5	the	the	DET
cord-010719-90379pjd	128	6	evolution	evolution	NOUN
cord-010719-90379pjd	128	7	of	of	ADP
cord-010719-90379pjd	128	8	the	the	DET
cord-010719-90379pjd	128	9	model	model	NOUN
cord-010719-90379pjd	128	10	with	with	ADP
cord-010719-90379pjd	128	11	memory	memory	NOUN
cord-010719-90379pjd	128	12	for	for	ADP
cord-010719-90379pjd	128	13	different	different	ADJ
cord-010719-90379pjd	128	14	values	value	NOUN
cord-010719-90379pjd	128	15	of	of	ADP
cord-010719-90379pjd	128	16	the	the	DET
cord-010719-90379pjd	128	17	finite	finite	ADJ
cord-010719-90379pjd	128	18	time	time	NOUN
cord-010719-90379pjd	128	19	t.	t.	PROPN
cord-010719-90379pjd	128	20	the	the	DET
cord-010719-90379pjd	128	21	memory	memory	NOUN
cord-010719-90379pjd	128	22	effects	effect	NOUN
cord-010719-90379pjd	128	23	are	be	AUX
cord-010719-90379pjd	128	24	considered	consider	VERB
cord-010719-90379pjd	128	25	for	for	ADP
cord-010719-90379pjd	128	26	a	a	DET
cord-010719-90379pjd	128	27	weight	weight	NOUN
cord-010719-90379pjd	128	28	α	α	X
cord-010719-90379pjd	128	29	=	=	NOUN
cord-010719-90379pjd	128	30	0.2	0.2	NUM
cord-010719-90379pjd	128	31	.	.	PUNCT
cord-010719-90379pjd	129	1	it	it	PRON
cord-010719-90379pjd	129	2	is	be	AUX
cord-010719-90379pjd	129	3	seen	see	VERB
cord-010719-90379pjd	129	4	that	that	SCONJ
cord-010719-90379pjd	129	5	as	as	SCONJ
cord-010719-90379pjd	129	6	time	time	NOUN
cord-010719-90379pjd	129	7	evolves	evolve	VERB
cord-010719-90379pjd	129	8	the	the	DET
cord-010719-90379pjd	129	9	influence	influence	NOUN
cord-010719-90379pjd	129	10	of	of	ADP
cord-010719-90379pjd	129	11	memory	memory	NOUN
cord-010719-90379pjd	129	12	decreases	decrease	VERB
cord-010719-90379pjd	129	13	,	,	PUNCT
cord-010719-90379pjd	129	14	since	since	SCONJ
cord-010719-90379pjd	129	15	memory	memory	NOUN
cord-010719-90379pjd	129	16	effects	effect	NOUN
cord-010719-90379pjd	129	17	decay	decay	VERB
cord-010719-90379pjd	129	18	in	in	ADP
cord-010719-90379pjd	129	19	time	time	NOUN
cord-010719-90379pjd	129	20	like	like	ADP
cord-010719-90379pjd	129	21	fig	fig	NOUN
cord-010719-90379pjd	129	22	.	.	PUNCT
cord-010719-90379pjd	130	1	4	4	NUM
cord-010719-90379pjd	130	2	.	.	PUNCT
cord-010719-90379pjd	131	1	furthermore	furthermore	ADV
cord-010719-90379pjd	131	2	,	,	PUNCT
cord-010719-90379pjd	131	3	for	for	ADP
cord-010719-90379pjd	131	4	a	a	DET
cord-010719-90379pjd	131	5	given	give	VERB
cord-010719-90379pjd	131	6	β	β	NOUN
cord-010719-90379pjd	131	7	/	/	SYM
cord-010719-90379pjd	131	8	γ	γ	NOUN
cord-010719-90379pjd	131	9	value	value	NOUN
cord-010719-90379pjd	131	10	,	,	PUNCT
cord-010719-90379pjd	131	11	it	it	PRON
cord-010719-90379pjd	131	12	appears	appear	VERB
cord-010719-90379pjd	131	13	that	that	SCONJ
cord-010719-90379pjd	131	14	there	there	PRON
cord-010719-90379pjd	131	15	is	be	VERB
cord-010719-90379pjd	131	16	more	more	ADJ
cord-010719-90379pjd	131	17	time	time	NOUN
cord-010719-90379pjd	131	18	available	available	ADJ
cord-010719-90379pjd	131	19	for	for	ADP
cord-010719-90379pjd	131	20	disease	disease	NOUN
cord-010719-90379pjd	131	21	spreading	spread	VERB
cord-010719-90379pjd	131	22	,	,	PUNCT
cord-010719-90379pjd	131	23	whence	whence	SCONJ
cord-010719-90379pjd	131	24	more	more	ADJ
cord-010719-90379pjd	131	25	individuals	individual	NOUN
cord-010719-90379pjd	131	26	become	become	VERB
cord-010719-90379pjd	131	27	infected	infected	ADJ
cord-010719-90379pjd	131	28	.	.	PUNCT
cord-010719-90379pjd	132	1	recall	recall	VERB
cord-010719-90379pjd	132	2	that	that	SCONJ
cord-010719-90379pjd	132	3	the	the	DET
cord-010719-90379pjd	132	4	dynamics	dynamic	NOUN
cord-010719-90379pjd	132	5	of	of	ADP
cord-010719-90379pjd	132	6	a	a	DET
cord-010719-90379pjd	132	7	non	non	ADJ
cord-010719-90379pjd	132	8	-	-	ADJ
cord-010719-90379pjd	132	9	markovian	markovian	ADJ
cord-010719-90379pjd	132	10	process	process	NOUN
cord-010719-90379pjd	132	11	is	be	AUX
cord-010719-90379pjd	132	12	directly	directly	ADV
cord-010719-90379pjd	132	13	influenced	influence	VERB
cord-010719-90379pjd	132	14	by	by	ADP
cord-010719-90379pjd	132	15	all	all	DET
cord-010719-90379pjd	132	16	events	event	NOUN
cord-010719-90379pjd	132	17	from	from	ADP
cord-010719-90379pjd	132	18	the	the	DET
cord-010719-90379pjd	132	19	beginning	beginning	NOUN
cord-010719-90379pjd	132	20	of	of	ADP
cord-010719-90379pjd	132	21	the	the	DET
cord-010719-90379pjd	132	22	process	process	NOUN
cord-010719-90379pjd	132	23	.	.	PUNCT
cord-010719-90379pjd	133	1	however	however	ADV
cord-010719-90379pjd	133	2	,	,	PUNCT
cord-010719-90379pjd	133	3	some	some	DET
cord-010719-90379pjd	133	4	loss	loss	NOUN
cord-010719-90379pjd	133	5	of	of	ADP
cord-010719-90379pjd	133	6	information	information	NOUN
cord-010719-90379pjd	133	7	about	about	ADP
cord-010719-90379pjd	133	8	some	some	DET
cord-010719-90379pjd	133	9	period	period	NOUN
cord-010719-90379pjd	133	10	of	of	ADP
cord-010719-90379pjd	133	11	time	time	NOUN
cord-010719-90379pjd	133	12	in	in	ADP
cord-010719-90379pjd	133	13	the	the	DET
cord-010719-90379pjd	133	14	past	past	NOUN
cord-010719-90379pjd	133	15	may	may	AUX
cord-010719-90379pjd	133	16	lead	lead	VERB
cord-010719-90379pjd	133	17	one	one	NUM
cord-010719-90379pjd	133	18	to	to	PART
cord-010719-90379pjd	133	19	consider	consider	VERB
cord-010719-90379pjd	133	20	that	that	SCONJ
cord-010719-90379pjd	133	21	the	the	DET
cord-010719-90379pjd	133	22	influence	influence	NOUN
cord-010719-90379pjd	133	23	of	of	ADP
cord-010719-90379pjd	133	24	memory	memory	NOUN
cord-010719-90379pjd	133	25	might	might	AUX
cord-010719-90379pjd	133	26	not	not	PART
cord-010719-90379pjd	133	27	need	need	VERB
cord-010719-90379pjd	133	28	to	to	PART
cord-010719-90379pjd	133	29	be	be	AUX
cord-010719-90379pjd	133	30	considered	consider	VERB
cord-010719-90379pjd	133	31	as	as	ADP
cord-010719-90379pjd	133	32	continuous	continuous	ADJ
cord-010719-90379pjd	133	33	.	.	PUNCT
cord-010719-90379pjd	134	1	it	it	PRON
cord-010719-90379pjd	134	2	may	may	AUX
cord-010719-90379pjd	134	3	happen	happen	VERB
cord-010719-90379pjd	134	4	,	,	PUNCT
cord-010719-90379pjd	134	5	in	in	ADP
cord-010719-90379pjd	134	6	many	many	ADJ
cord-010719-90379pjd	134	7	social	social	ADJ
cord-010719-90379pjd	134	8	networks	network	NOUN
cord-010719-90379pjd	134	9	,	,	PUNCT
cord-010719-90379pjd	134	10	that	that	SCONJ
cord-010719-90379pjd	134	11	individuals	individual	NOUN
cord-010719-90379pjd	134	12	do	do	AUX
cord-010719-90379pjd	134	13	not	not	PART
cord-010719-90379pjd	134	14	have	have	VERB
cord-010719-90379pjd	134	15	enough	enough	ADJ
cord-010719-90379pjd	134	16	information	information	NOUN
cord-010719-90379pjd	134	17	about	about	ADP
cord-010719-90379pjd	134	18	the	the	DET
cord-010719-90379pjd	134	19	history	history	NOUN
cord-010719-90379pjd	134	20	of	of	ADP
cord-010719-90379pjd	134	21	a	a	DET
cord-010719-90379pjd	134	22	disease	disease	NOUN
cord-010719-90379pjd	134	23	,	,	PUNCT
cord-010719-90379pjd	134	24	as	as	SCONJ
cord-010719-90379pjd	134	25	recent	recent	ADJ
cord-010719-90379pjd	134	26	cases	case	NOUN
cord-010719-90379pjd	134	27	and	and	CCONJ
cord-010719-90379pjd	134	28	studies	study	NOUN
cord-010719-90379pjd	134	29	indicate	indicate	VERB
cord-010719-90379pjd	134	30	;	;	PUNCT
cord-010719-90379pjd	134	31	e.g.	e.g.	ADV
cord-010719-90379pjd	134	32	,	,	PUNCT
cord-010719-90379pjd	134	33	see	see	VERB
cord-010719-90379pjd	134	34	[	[	X
cord-010719-90379pjd	134	35	64	64	NUM
cord-010719-90379pjd	134	36	]	]	PUNCT
cord-010719-90379pjd	134	37	[	[	PUNCT
cord-010719-90379pjd	134	38	65	65	NUM
cord-010719-90379pjd	134	39	]	]	PUNCT
cord-010719-90379pjd	134	40	[	[	X
cord-010719-90379pjd	134	41	66	66	NUM
cord-010719-90379pjd	134	42	]	]	PUNCT
cord-010719-90379pjd	134	43	[	[	X
cord-010719-90379pjd	134	44	67	67	NUM
cord-010719-90379pjd	134	45	]	]	PUNCT
cord-010719-90379pjd	134	46	.	.	PUNCT
cord-010719-90379pjd	135	1	only	only	ADV
cord-010719-90379pjd	135	2	after	after	SCONJ
cord-010719-90379pjd	135	3	several	several	ADJ
cord-010719-90379pjd	135	4	individuals	individual	NOUN
cord-010719-90379pjd	135	5	have	have	AUX
cord-010719-90379pjd	135	6	already	already	ADV
cord-010719-90379pjd	135	7	been	be	AUX
cord-010719-90379pjd	135	8	infected	infect	VERB
cord-010719-90379pjd	135	9	,	,	PUNCT
cord-010719-90379pjd	135	10	do	do	AUX
cord-010719-90379pjd	135	11	people	people	NOUN
cord-010719-90379pjd	135	12	start	start	VERB
cord-010719-90379pjd	135	13	to	to	PART
cord-010719-90379pjd	135	14	increase	increase	VERB
cord-010719-90379pjd	135	15	their	their	PRON
cord-010719-90379pjd	135	16	knowledge	knowledge	NOUN
cord-010719-90379pjd	135	17	about	about	ADP
cord-010719-90379pjd	135	18	the	the	DET
cord-010719-90379pjd	135	19	disease	disease	NOUN
cord-010719-90379pjd	135	20	and	and	CCONJ
cord-010719-90379pjd	135	21	take	take	VERB
cord-010719-90379pjd	135	22	different	different	ADJ
cord-010719-90379pjd	135	23	precautions	precaution	NOUN
cord-010719-90379pjd	135	24	.	.	PUNCT
cord-010719-90379pjd	136	1	the	the	DET
cord-010719-90379pjd	136	2	question	question	NOUN
cord-010719-90379pjd	136	3	arises	arise	VERB
cord-010719-90379pjd	136	4	on	on	ADP
cord-010719-90379pjd	136	5	how	how	SCONJ
cord-010719-90379pjd	136	6	the	the	DET
cord-010719-90379pjd	136	7	"	"	PUNCT
cord-010719-90379pjd	136	8	initial	initial	ADJ
cord-010719-90379pjd	136	9	time	time	NOUN
cord-010719-90379pjd	136	10	"	"	PUNCT
cord-010719-90379pjd	136	11	at	at	ADP
cord-010719-90379pjd	136	12	which	which	PRON
cord-010719-90379pjd	136	13	a	a	DET
cord-010719-90379pjd	136	14	non	non	ADJ
cord-010719-90379pjd	136	15	-	-	ADJ
cord-010719-90379pjd	136	16	markovian	markovian	ADJ
cord-010719-90379pjd	136	17	process	process	NOUN
cord-010719-90379pjd	136	18	is	be	AUX
cord-010719-90379pjd	136	19	started	start	VERB
cord-010719-90379pjd	136	20	affects	affect	VERB
cord-010719-90379pjd	136	21	the	the	DET
cord-010719-90379pjd	136	22	subsequent	subsequent	ADJ
cord-010719-90379pjd	136	23	dynamics	dynamic	NOUN
cord-010719-90379pjd	136	24	of	of	ADP
cord-010719-90379pjd	136	25	the	the	DET
cord-010719-90379pjd	136	26	process	process	NOUN
cord-010719-90379pjd	136	27	.	.	PUNCT
cord-010719-90379pjd	137	1	if	if	SCONJ
cord-010719-90379pjd	137	2	two	two	NUM
cord-010719-90379pjd	137	3	markovian	markovian	ADJ
cord-010719-90379pjd	137	4	processes	process	NOUN
cord-010719-90379pjd	137	5	start	start	VERB
cord-010719-90379pjd	137	6	at	at	ADP
cord-010719-90379pjd	137	7	two	two	NUM
cord-010719-90379pjd	137	8	different	different	ADJ
cord-010719-90379pjd	137	9	times	time	NOUN
cord-010719-90379pjd	137	10	,	,	PUNCT
cord-010719-90379pjd	137	11	the	the	DET
cord-010719-90379pjd	137	12	evolution	evolution	NOUN
cord-010719-90379pjd	137	13	of	of	ADP
cord-010719-90379pjd	137	14	both	both	DET
cord-010719-90379pjd	137	15	processes	process	NOUN
cord-010719-90379pjd	137	16	is	be	AUX
cord-010719-90379pjd	137	17	identical	identical	ADJ
cord-010719-90379pjd	137	18	.	.	PUNCT
cord-010719-90379pjd	138	1	however	however	ADV
cord-010719-90379pjd	138	2	,	,	PUNCT
cord-010719-90379pjd	138	3	the	the	DET
cord-010719-90379pjd	138	4	scenario	scenario	NOUN
cord-010719-90379pjd	138	5	is	be	AUX
cord-010719-90379pjd	138	6	quite	quite	ADV
cord-010719-90379pjd	138	7	different	different	ADJ
cord-010719-90379pjd	138	8	for	for	ADP
cord-010719-90379pjd	138	9	a	a	DET
cord-010719-90379pjd	138	10	non	non	ADJ
cord-010719-90379pjd	138	11	-	-	ADJ
cord-010719-90379pjd	138	12	markovian	markovian	ADJ
cord-010719-90379pjd	138	13	process	process	NOUN
cord-010719-90379pjd	138	14	,	,	PUNCT
cord-010719-90379pjd	138	15	i.e.	i.e.	X
cord-010719-90379pjd	138	16	,	,	PUNCT
cord-010719-90379pjd	138	17	in	in	ADP
cord-010719-90379pjd	138	18	which	which	PRON
cord-010719-90379pjd	138	19	the	the	DET
cord-010719-90379pjd	138	20	memory	memory	NOUN
cord-010719-90379pjd	138	21	plays	play	VERB
cord-010719-90379pjd	138	22	a	a	DET
cord-010719-90379pjd	138	23	role	role	NOUN
cord-010719-90379pjd	138	24	.	.	PUNCT
cord-010719-90379pjd	139	1	this	this	PRON
cord-010719-90379pjd	139	2	is	be	AUX
cord-010719-90379pjd	139	3	illustrated	illustrate	VERB
cord-010719-90379pjd	139	4	through	through	ADP
cord-010719-90379pjd	139	5	fig	fig	PROPN
cord-010719-90379pjd	139	6	.	.	PUNCT
cord-010719-90379pjd	140	1	5	5	NUM
cord-010719-90379pjd	140	2	where	where	SCONJ
cord-010719-90379pjd	140	3	the	the	DET
cord-010719-90379pjd	140	4	fractions	fraction	NOUN
cord-010719-90379pjd	140	5	of	of	ADP
cord-010719-90379pjd	140	6	susceptible	susceptible	ADJ
cord-010719-90379pjd	140	7	,	,	PUNCT
cord-010719-90379pjd	140	8	infected	infect	VERB
cord-010719-90379pjd	140	9	,	,	PUNCT
cord-010719-90379pjd	140	10	and	and	CCONJ
cord-010719-90379pjd	140	11	removed	remove	VERB
cord-010719-90379pjd	140	12	individuals	individual	NOUN
cord-010719-90379pjd	140	13	are	be	AUX
cord-010719-90379pjd	140	14	compared	compare	VERB
cord-010719-90379pjd	140	15	in	in	ADP
cord-010719-90379pjd	140	16	the	the	DET
cord-010719-90379pjd	140	17	case	case	NOUN
cord-010719-90379pjd	140	18	of	of	ADP
cord-010719-90379pjd	140	19	two	two	NUM
cord-010719-90379pjd	140	20	markov	markov	NOUN
cord-010719-90379pjd	140	21	and	and	CCONJ
cord-010719-90379pjd	140	22	non	non	ADJ
cord-010719-90379pjd	140	23	-	-	ADJ
cord-010719-90379pjd	140	24	markov	markov	ADJ
cord-010719-90379pjd	140	25	epidemic	epidemic	NOUN
cord-010719-90379pjd	140	26	processes	process	NOUN
cord-010719-90379pjd	140	27	.	.	PUNCT
cord-010719-90379pjd	141	1	continuous	continuous	ADJ
cord-010719-90379pjd	141	2	and	and	CCONJ
cord-010719-90379pjd	141	3	dashed	dash	VERB
cord-010719-90379pjd	141	4	(	(	PUNCT
cord-010719-90379pjd	141	5	black	black	ADJ
cord-010719-90379pjd	141	6	)	)	PUNCT
cord-010719-90379pjd	141	7	lines	line	NOUN
cord-010719-90379pjd	141	8	correspond	correspond	VERB
cord-010719-90379pjd	141	9	to	to	ADP
cord-010719-90379pjd	141	10	a	a	DET
cord-010719-90379pjd	141	11	system	system	NOUN
cord-010719-90379pjd	141	12	with	with	ADP
cord-010719-90379pjd	141	13	and	and	CCONJ
cord-010719-90379pjd	141	14	without	without	ADP
cord-010719-90379pjd	141	15	including	include	VERB
cord-010719-90379pjd	141	16	memory	memory	NOUN
cord-010719-90379pjd	141	17	effects	effect	NOUN
cord-010719-90379pjd	141	18	,	,	PUNCT
cord-010719-90379pjd	141	19	respectively	respectively	ADV
cord-010719-90379pjd	141	20	,	,	PUNCT
cord-010719-90379pjd	141	21	evolving	evolve	VERB
cord-010719-90379pjd	141	22	from	from	ADP
cord-010719-90379pjd	141	23	the	the	DET
cord-010719-90379pjd	141	24	same	same	ADJ
cord-010719-90379pjd	141	25	initial	initial	ADJ
cord-010719-90379pjd	141	26	time	time	NOUN
cord-010719-90379pjd	141	27	t	t	PROPN
cord-010719-90379pjd	141	28	=	=	NOUN
cord-010719-90379pjd	141	29	0	0	NUM
cord-010719-90379pjd	141	30	.	.	PUNCT
cord-010719-90379pjd	142	1	as	as	SCONJ
cord-010719-90379pjd	142	2	can	can	AUX
cord-010719-90379pjd	142	3	be	be	AUX
cord-010719-90379pjd	142	4	seen	see	VERB
cord-010719-90379pjd	142	5	,	,	PUNCT
cord-010719-90379pjd	142	6	the	the	DET
cord-010719-90379pjd	142	7	fraction	fraction	NOUN
cord-010719-90379pjd	142	8	of	of	ADP
cord-010719-90379pjd	142	9	susceptible	susceptible	ADJ
cord-010719-90379pjd	142	10	individuals	individual	NOUN
cord-010719-90379pjd	142	11	is	be	AUX
cord-010719-90379pjd	142	12	greater	great	ADJ
cord-010719-90379pjd	142	13	in	in	ADP
cord-010719-90379pjd	142	14	a	a	DET
cord-010719-90379pjd	142	15	system	system	NOUN
cord-010719-90379pjd	142	16	with	with	ADP
cord-010719-90379pjd	142	17	inclusion	inclusion	NOUN
cord-010719-90379pjd	142	18	of	of	ADP
cord-010719-90379pjd	142	19	memory	memory	NOUN
cord-010719-90379pjd	142	20	effects	effect	NOUN
cord-010719-90379pjd	142	21	with	with	ADP
cord-010719-90379pjd	142	22	respect	respect	NOUN
cord-010719-90379pjd	142	23	to	to	ADP
cord-010719-90379pjd	142	24	that	that	PRON
cord-010719-90379pjd	142	25	ignoring	ignore	VERB
cord-010719-90379pjd	142	26	the	the	DET
cord-010719-90379pjd	142	27	memory	memory	NOUN
cord-010719-90379pjd	142	28	[	[	PUNCT
cord-010719-90379pjd	142	29	fig	fig	NOUN
cord-010719-90379pjd	142	30	.	.	PUNCT
cord-010719-90379pjd	142	31	5(a	5(a	PUNCT
cord-010719-90379pjd	142	32	)	)	PUNCT
cord-010719-90379pjd	142	33	]	]	PUNCT
cord-010719-90379pjd	142	34	.	.	PUNCT
cord-010719-90379pjd	143	1	in	in	ADP
cord-010719-90379pjd	143	2	other	other	ADJ
cord-010719-90379pjd	143	3	words	word	NOUN
cord-010719-90379pjd	143	4	,	,	PUNCT
cord-010719-90379pjd	143	5	the	the	DET
cord-010719-90379pjd	143	6	experience	experience	NOUN
cord-010719-90379pjd	143	7	and	and	CCONJ
cord-010719-90379pjd	143	8	knowledge	knowledge	NOUN
cord-010719-90379pjd	143	9	which	which	PRON
cord-010719-90379pjd	143	10	individuals	individual	NOUN
cord-010719-90379pjd	143	11	have	have	VERB
cord-010719-90379pjd	143	12	about	about	ADP
cord-010719-90379pjd	143	13	the	the	DET
cord-010719-90379pjd	143	14	disease	disease	NOUN
cord-010719-90379pjd	143	15	are	be	AUX
cord-010719-90379pjd	143	16	obviously	obviously	ADV
cord-010719-90379pjd	143	17	helping	help	VERB
cord-010719-90379pjd	143	18	them	they	PRON
cord-010719-90379pjd	143	19	to	to	PART
cord-010719-90379pjd	143	20	protect	protect	VERB
cord-010719-90379pjd	143	21	themselves	themselves	PRON
cord-010719-90379pjd	143	22	against	against	ADP
cord-010719-90379pjd	143	23	the	the	DET
cord-010719-90379pjd	143	24	disease	disease	NOUN
cord-010719-90379pjd	143	25	.	.	PUNCT
cord-010719-90379pjd	144	1	equivalently	equivalently	ADV
cord-010719-90379pjd	144	2	,	,	PUNCT
cord-010719-90379pjd	144	3	in	in	ADP
cord-010719-90379pjd	144	4	a	a	DET
cord-010719-90379pjd	144	5	system	system	NOUN
cord-010719-90379pjd	144	6	including	include	VERB
cord-010719-90379pjd	144	7	the	the	DET
cord-010719-90379pjd	144	8	memory	memory	NOUN
cord-010719-90379pjd	144	9	effects	effect	NOUN
cord-010719-90379pjd	144	10	,	,	PUNCT
cord-010719-90379pjd	144	11	the	the	DET
cord-010719-90379pjd	144	12	infection	infection	NOUN
cord-010719-90379pjd	144	13	grows	grow	VERB
cord-010719-90379pjd	144	14	more	more	ADV
cord-010719-90379pjd	144	15	slowly	slowly	ADV
cord-010719-90379pjd	144	16	as	as	SCONJ
cord-010719-90379pjd	144	17	seen	see	VERB
cord-010719-90379pjd	144	18	in	in	ADP
cord-010719-90379pjd	144	19	fig	fig	PROPN
cord-010719-90379pjd	144	20	.	.	PUNCT
cord-010719-90379pjd	144	21	5(b	5(b	NUM
cord-010719-90379pjd	144	22	)	)	PUNCT
cord-010719-90379pjd	144	23	.	.	PUNCT
cord-010719-90379pjd	145	1	thereafter	thereafter	ADV
cord-010719-90379pjd	145	2	,	,	PUNCT
cord-010719-90379pjd	145	3	consider	consider	VERB
cord-010719-90379pjd	145	4	that	that	SCONJ
cord-010719-90379pjd	145	5	a	a	DET
cord-010719-90379pjd	145	6	non	non	ADJ
cord-010719-90379pjd	145	7	-	-	ADJ
cord-010719-90379pjd	145	8	markovian	markovian	ADJ
cord-010719-90379pjd	145	9	process	process	NOUN
cord-010719-90379pjd	145	10	,	,	PUNCT
cord-010719-90379pjd	145	11	including	include	VERB
cord-010719-90379pjd	145	12	memory	memory	NOUN
cord-010719-90379pjd	145	13	effects	effect	NOUN
cord-010719-90379pjd	145	14	,	,	PUNCT
cord-010719-90379pjd	145	15	has	have	AUX
cord-010719-90379pjd	145	16	evolved	evolve	VERB
cord-010719-90379pjd	145	17	until	until	ADP
cord-010719-90379pjd	145	18	a	a	DET
cord-010719-90379pjd	145	19	specific	specific	ADJ
cord-010719-90379pjd	145	20	time	time	NOUN
cord-010719-90379pjd	145	21	t	t	NOUN
cord-010719-90379pjd	145	22	1	1	NUM
cord-010719-90379pjd	145	23	.	.	PUNCT
cord-010719-90379pjd	146	1	let	let	VERB
cord-010719-90379pjd	146	2	the	the	DET
cord-010719-90379pjd	146	3	process	process	NOUN
cord-010719-90379pjd	146	4	be	be	AUX
cord-010719-90379pjd	146	5	continuing	continue	VERB
cord-010719-90379pjd	146	6	its	its	PRON
cord-010719-90379pjd	146	7	evolution	evolution	NOUN
cord-010719-90379pjd	146	8	,	,	PUNCT
cord-010719-90379pjd	146	9	but	but	CCONJ
cord-010719-90379pjd	146	10	let	let	VERB
cord-010719-90379pjd	146	11	the	the	DET
cord-010719-90379pjd	146	12	memory	memory	NOUN
cord-010719-90379pjd	146	13	of	of	ADP
cord-010719-90379pjd	146	14	the	the	DET
cord-010719-90379pjd	146	15	system	system	NOUN
cord-010719-90379pjd	146	16	be	be	AUX
cord-010719-90379pjd	146	17	removed	remove	VERB
cord-010719-90379pjd	146	18	at	at	ADP
cord-010719-90379pjd	146	19	that	that	DET
cord-010719-90379pjd	146	20	time	time	NOUN
cord-010719-90379pjd	146	21	.	.	PUNCT
cord-010719-90379pjd	147	1	this	this	PRON
cord-010719-90379pjd	147	2	corresponds	correspond	VERB
cord-010719-90379pjd	147	3	to	to	ADP
cord-010719-90379pjd	147	4	having	have	VERB
cord-010719-90379pjd	147	5	a	a	DET
cord-010719-90379pjd	147	6	new	new	ADJ
cord-010719-90379pjd	147	7	initial	initial	ADJ
cord-010719-90379pjd	147	8	time	time	NOUN
cord-010719-90379pjd	147	9	and	and	CCONJ
cord-010719-90379pjd	147	10	new	new	ADJ
cord-010719-90379pjd	147	11	initial	initial	ADJ
cord-010719-90379pjd	147	12	conditions	condition	NOUN
cord-010719-90379pjd	147	13	for	for	ADP
cord-010719-90379pjd	147	14	the	the	DET
cord-010719-90379pjd	147	15	epidemics	epidemic	NOUN
cord-010719-90379pjd	147	16	spreading	spread	VERB
cord-010719-90379pjd	147	17	.	.	PUNCT
cord-010719-90379pjd	148	1	the	the	DET
cord-010719-90379pjd	148	2	process	process	NOUN
cord-010719-90379pjd	148	3	can	can	AUX
cord-010719-90379pjd	148	4	be	be	AUX
cord-010719-90379pjd	148	5	continued	continue	VERB
cord-010719-90379pjd	148	6	without	without	ADP
cord-010719-90379pjd	148	7	or	or	CCONJ
cord-010719-90379pjd	148	8	with	with	ADP
cord-010719-90379pjd	148	9	memory	memory	NOUN
cord-010719-90379pjd	148	10	.	.	PUNCT
cord-010719-90379pjd	149	1	the	the	DET
cord-010719-90379pjd	149	2	markovian	markovian	PROPN
cord-010719-90379pjd	149	3	case	case	NOUN
cord-010719-90379pjd	149	4	is	be	AUX
cord-010719-90379pjd	149	5	trivial	trivial	ADJ
cord-010719-90379pjd	149	6	thereafter	thereafter	ADV
cord-010719-90379pjd	149	7	and	and	CCONJ
cord-010719-90379pjd	149	8	thus	thus	ADV
cord-010719-90379pjd	149	9	not	not	PART
cord-010719-90379pjd	149	10	discussed	discuss	VERB
cord-010719-90379pjd	149	11	.	.	PUNCT
cord-010719-90379pjd	150	1	instead	instead	ADV
cord-010719-90379pjd	150	2	,	,	PUNCT
cord-010719-90379pjd	150	3	consider	consider	VERB
cord-010719-90379pjd	150	4	that	that	SCONJ
cord-010719-90379pjd	150	5	memory	memory	NOUN
cord-010719-90379pjd	150	6	effects	effect	NOUN
cord-010719-90379pjd	150	7	are	be	AUX
cord-010719-90379pjd	150	8	only	only	ADV
cord-010719-90379pjd	150	9	taken	take	VERB
cord-010719-90379pjd	150	10	into	into	ADP
cord-010719-90379pjd	150	11	account	account	NOUN
cord-010719-90379pjd	150	12	at	at	ADP
cord-010719-90379pjd	150	13	this	this	PRON
cord-010719-90379pjd	150	14	starting	start	VERB
cord-010719-90379pjd	150	15	"	"	PUNCT
cord-010719-90379pjd	150	16	new	new	ADJ
cord-010719-90379pjd	150	17	initial	initial	ADJ
cord-010719-90379pjd	150	18	time	time	NOUN
cord-010719-90379pjd	150	19	.	.	PUNCT
cord-010719-90379pjd	150	20	"	"	PUNCT
cord-010719-90379pjd	151	1	in	in	ADP
cord-010719-90379pjd	151	2	other	other	ADJ
cord-010719-90379pjd	151	3	words	word	NOUN
cord-010719-90379pjd	151	4	,	,	PUNCT
cord-010719-90379pjd	151	5	let	let	VERB
cord-010719-90379pjd	151	6	the	the	DET
cord-010719-90379pjd	151	7	population	population	NOUN
cord-010719-90379pjd	151	8	ignore	ignore	VERB
cord-010719-90379pjd	151	9	the	the	DET
cord-010719-90379pjd	151	10	disease	disease	NOUN
cord-010719-90379pjd	151	11	control	control	NOUN
cord-010719-90379pjd	151	12	history	history	NOUN
cord-010719-90379pjd	151	13	(	(	PUNCT
cord-010719-90379pjd	151	14	memory	memory	NOUN
cord-010719-90379pjd	151	15	)	)	PUNCT
cord-010719-90379pjd	151	16	until	until	ADP
cord-010719-90379pjd	151	17	t	t	PROPN
cord-010719-90379pjd	151	18	1	1	NUM
cord-010719-90379pjd	151	19	;	;	PUNCT
cord-010719-90379pjd	151	20	let	let	VERB
cord-010719-90379pjd	151	21	the	the	DET
cord-010719-90379pjd	151	22	system	system	NOUN
cord-010719-90379pjd	151	23	continue	continue	VERB
cord-010719-90379pjd	151	24	its	its	PRON
cord-010719-90379pjd	151	25	dynamics	dynamic	NOUN
cord-010719-90379pjd	151	26	but	but	CCONJ
cord-010719-90379pjd	151	27	taking	take	VERB
cord-010719-90379pjd	151	28	into	into	ADP
cord-010719-90379pjd	151	29	account	account	NOUN
cord-010719-90379pjd	151	30	memory	memory	NOUN
cord-010719-90379pjd	151	31	effects	effect	NOUN
cord-010719-90379pjd	151	32	thereafter	thereafter	ADV
cord-010719-90379pjd	151	33	from	from	ADP
cord-010719-90379pjd	151	34	t	t	PROPN
cord-010719-90379pjd	151	35	1	1	NUM
cord-010719-90379pjd	151	36	.	.	PUNCT
cord-010719-90379pjd	152	1	the	the	DET
cord-010719-90379pjd	152	2	initial	initial	ADJ
cord-010719-90379pjd	152	3	conditions	condition	NOUN
cord-010719-90379pjd	152	4	for	for	ADP
cord-010719-90379pjd	152	5	the	the	DET
cord-010719-90379pjd	152	6	evolution	evolution	NOUN
cord-010719-90379pjd	152	7	of	of	ADP
cord-010719-90379pjd	152	8	the	the	DET
cord-010719-90379pjd	152	9	system	system	NOUN
cord-010719-90379pjd	152	10	are	be	AUX
cord-010719-90379pjd	152	11	now	now	ADV
cord-010719-90379pjd	152	12	a	a	DET
cord-010719-90379pjd	152	13	fraction	fraction	NOUN
cord-010719-90379pjd	152	14	of	of	ADP
cord-010719-90379pjd	152	15	susceptible	susceptible	ADJ
cord-010719-90379pjd	152	16	and	and	CCONJ
cord-010719-90379pjd	152	17	infected	infect	VERB
cord-010719-90379pjd	152	18	individuals	individual	NOUN
cord-010719-90379pjd	152	19	at	at	ADP
cord-010719-90379pjd	152	20	time	time	NOUN
cord-010719-90379pjd	152	21	t	t	PROPN
cord-010719-90379pjd	152	22	1	1	NUM
cord-010719-90379pjd	152	23	.	.	PUNCT
cord-010719-90379pjd	153	1	the	the	DET
cord-010719-90379pjd	153	2	curves	curve	NOUN
cord-010719-90379pjd	153	3	with	with	ADP
cord-010719-90379pjd	153	4	square	square	ADJ
cord-010719-90379pjd	153	5	symbols	symbol	NOUN
cord-010719-90379pjd	153	6	in	in	ADP
cord-010719-90379pjd	153	7	fig	fig	PROPN
cord-010719-90379pjd	153	8	.	.	PUNCT
cord-010719-90379pjd	154	1	5	5	NUM
cord-010719-90379pjd	154	2	correspond	correspond	NOUN
cord-010719-90379pjd	154	3	to	to	ADP
cord-010719-90379pjd	154	4	what	what	PRON
cord-010719-90379pjd	154	5	happens	happen	VERB
cord-010719-90379pjd	154	6	for	for	ADP
cord-010719-90379pjd	154	7	different	different	ADJ
cord-010719-90379pjd	154	8	"	"	PUNCT
cord-010719-90379pjd	154	9	new	new	ADJ
cord-010719-90379pjd	154	10	initial	initial	ADJ
cord-010719-90379pjd	154	11	times	time	NOUN
cord-010719-90379pjd	154	12	"	"	PUNCT
cord-010719-90379pjd	154	13	t	t	NOUN
cord-010719-90379pjd	154	14	1	1	NUM
cord-010719-90379pjd	154	15	=	=	NOUN
cord-010719-90379pjd	154	16	30,70	30,70	NUM
cord-010719-90379pjd	154	17	,	,	PUNCT
cord-010719-90379pjd	154	18	for	for	ADP
cord-010719-90379pjd	154	19	the	the	DET
cord-010719-90379pjd	154	20	dynamics	dynamic	NOUN
cord-010719-90379pjd	154	21	of	of	ADP
cord-010719-90379pjd	154	22	such	such	DET
cord-010719-90379pjd	154	23	a	a	DET
cord-010719-90379pjd	154	24	non	non	ADJ
cord-010719-90379pjd	154	25	-	-	ADJ
cord-010719-90379pjd	154	26	markovian	markovian	ADJ
cord-010719-90379pjd	154	27	epidemic	epidemic	NOUN
cord-010719-90379pjd	154	28	process	process	NOUN
cord-010719-90379pjd	154	29	.	.	PUNCT
cord-010719-90379pjd	155	1	as	as	SCONJ
cord-010719-90379pjd	155	2	can	can	AUX
cord-010719-90379pjd	155	3	be	be	AUX
cord-010719-90379pjd	155	4	seen	see	VERB
cord-010719-90379pjd	155	5	,	,	PUNCT
cord-010719-90379pjd	155	6	at	at	ADP
cord-010719-90379pjd	155	7	the	the	DET
cord-010719-90379pjd	155	8	beginning	beginning	NOUN
cord-010719-90379pjd	155	9	of	of	ADP
cord-010719-90379pjd	155	10	the	the	DET
cord-010719-90379pjd	155	11	dynamics	dynamic	NOUN
cord-010719-90379pjd	155	12	,	,	PUNCT
cord-010719-90379pjd	155	13	the	the	DET
cord-010719-90379pjd	155	14	fraction	fraction	NOUN
cord-010719-90379pjd	155	15	of	of	ADP
cord-010719-90379pjd	155	16	susceptible	susceptible	ADJ
cord-010719-90379pjd	155	17	individuals	individual	NOUN
cord-010719-90379pjd	155	18	is	be	AUX
cord-010719-90379pjd	155	19	reduced	reduce	VERB
cord-010719-90379pjd	155	20	,	,	PUNCT
cord-010719-90379pjd	155	21	since	since	SCONJ
cord-010719-90379pjd	155	22	people	people	NOUN
cord-010719-90379pjd	155	23	do	do	AUX
cord-010719-90379pjd	155	24	not	not	PART
cord-010719-90379pjd	155	25	know	know	VERB
cord-010719-90379pjd	155	26	about	about	ADP
cord-010719-90379pjd	155	27	the	the	DET
cord-010719-90379pjd	155	28	disease	disease	NOUN
cord-010719-90379pjd	155	29	.	.	PUNCT
cord-010719-90379pjd	156	1	however	however	ADV
cord-010719-90379pjd	156	2	,	,	PUNCT
cord-010719-90379pjd	156	3	as	as	ADV
cord-010719-90379pjd	156	4	soon	soon	ADV
cord-010719-90379pjd	156	5	as	as	SCONJ
cord-010719-90379pjd	156	6	it	it	PRON
cord-010719-90379pjd	156	7	is	be	AUX
cord-010719-90379pjd	156	8	influenced	influence	VERB
cord-010719-90379pjd	156	9	by	by	ADP
cord-010719-90379pjd	156	10	memory	memory	NOUN
cord-010719-90379pjd	156	11	,	,	PUNCT
cord-010719-90379pjd	156	12	the	the	DET
cord-010719-90379pjd	156	13	system	system	NOUN
cord-010719-90379pjd	156	14	becomes	become	VERB
cord-010719-90379pjd	156	15	more	more	ADV
cord-010719-90379pjd	156	16	resilient	resilient	ADJ
cord-010719-90379pjd	156	17	to	to	ADP
cord-010719-90379pjd	156	18	the	the	DET
cord-010719-90379pjd	156	19	spreading	spreading	NOUN
cord-010719-90379pjd	156	20	.	.	PUNCT
cord-010719-90379pjd	157	1	hence	hence	ADV
cord-010719-90379pjd	157	2	,	,	PUNCT
cord-010719-90379pjd	157	3	the	the	DET
cord-010719-90379pjd	157	4	fraction	fraction	NOUN
cord-010719-90379pjd	157	5	of	of	ADP
cord-010719-90379pjd	157	6	s	s	VERB
cord-010719-90379pjd	157	7	individuals	individual	NOUN
cord-010719-90379pjd	157	8	remains	remain	VERB
cord-010719-90379pjd	157	9	greater	great	ADJ
cord-010719-90379pjd	157	10	as	as	SCONJ
cord-010719-90379pjd	157	11	compared	compare	VERB
cord-010719-90379pjd	157	12	to	to	ADP
cord-010719-90379pjd	157	13	that	that	PRON
cord-010719-90379pjd	157	14	with	with	ADP
cord-010719-90379pjd	157	15	a	a	DET
cord-010719-90379pjd	157	16	memoryless	memoryless	NOUN
cord-010719-90379pjd	157	17	system	system	NOUN
cord-010719-90379pjd	157	18	,	,	PUNCT
cord-010719-90379pjd	157	19	having	having	AUX
cord-010719-90379pjd	157	20	started	start	VERB
cord-010719-90379pjd	157	21	at	at	ADP
cord-010719-90379pjd	157	22	t	t	PROPN
cord-010719-90379pjd	157	23	=	=	NOUN
cord-010719-90379pjd	157	24	0	0	NUM
cord-010719-90379pjd	157	25	.	.	PUNCT
cord-010719-90379pjd	158	1	in	in	ADP
cord-010719-90379pjd	158	2	a	a	DET
cord-010719-90379pjd	158	3	similar	similar	ADJ
cord-010719-90379pjd	158	4	manner	manner	NOUN
cord-010719-90379pjd	158	5	,	,	PUNCT
cord-010719-90379pjd	158	6	the	the	DET
cord-010719-90379pjd	158	7	fraction	fraction	NOUN
cord-010719-90379pjd	158	8	of	of	ADP
cord-010719-90379pjd	158	9	infected	infect	VERB
cord-010719-90379pjd	158	10	and	and	CCONJ
cord-010719-90379pjd	158	11	removed	remove	VERB
cord-010719-90379pjd	158	12	individuals	individual	NOUN
cord-010719-90379pjd	158	13	deviate	deviate	VERB
cord-010719-90379pjd	158	14	from	from	ADP
cord-010719-90379pjd	158	15	the	the	DET
cord-010719-90379pjd	158	16	original	original	ADJ
cord-010719-90379pjd	158	17	one	one	NOUN
cord-010719-90379pjd	158	18	and	and	CCONJ
cord-010719-90379pjd	158	19	tend	tend	VERB
cord-010719-90379pjd	158	20	toward	toward	ADP
cord-010719-90379pjd	158	21	the	the	DET
cord-010719-90379pjd	158	22	populated	populated	ADJ
cord-010719-90379pjd	158	23	states	state	NOUN
cord-010719-90379pjd	158	24	of	of	ADP
cord-010719-90379pjd	158	25	a	a	DET
cord-010719-90379pjd	158	26	memoryless	memoryless	NOUN
cord-010719-90379pjd	158	27	system	system	NOUN
cord-010719-90379pjd	158	28	when	when	SCONJ
cord-010719-90379pjd	158	29	the	the	DET
cord-010719-90379pjd	158	30	memory	memory	NOUN
cord-010719-90379pjd	158	31	from	from	ADP
cord-010719-90379pjd	158	32	further	far	ADV
cord-010719-90379pjd	158	33	past	past	ADJ
cord-010719-90379pjd	158	34	times	time	NOUN
cord-010719-90379pjd	158	35	is	be	AUX
cord-010719-90379pjd	158	36	included	include	VERB
cord-010719-90379pjd	158	37	.	.	PUNCT
cord-010719-90379pjd	159	1	in	in	ADP
cord-010719-90379pjd	159	2	this	this	DET
cord-010719-90379pjd	159	3	case	case	NOUN
cord-010719-90379pjd	159	4	,	,	PUNCT
cord-010719-90379pjd	159	5	the	the	DET
cord-010719-90379pjd	159	6	curves	curve	NOUN
cord-010719-90379pjd	159	7	become	become	VERB
cord-010719-90379pjd	159	8	closer	close	ADJ
cord-010719-90379pjd	159	9	to	to	ADP
cord-010719-90379pjd	159	10	the	the	DET
cord-010719-90379pjd	159	11	dashed	dash	VERB
cord-010719-90379pjd	159	12	curve	curve	NOUN
cord-010719-90379pjd	159	13	corresponding	correspond	VERB
cord-010719-90379pjd	159	14	to	to	ADP
cord-010719-90379pjd	159	15	a	a	DET
cord-010719-90379pjd	159	16	memoryless	memoryless	NOUN
cord-010719-90379pjd	159	17	system	system	NOUN
cord-010719-90379pjd	159	18	.	.	PUNCT
cord-010719-90379pjd	160	1	that	that	PRON
cord-010719-90379pjd	160	2	means	mean	VERB
cord-010719-90379pjd	160	3	that	that	SCONJ
cord-010719-90379pjd	160	4	the	the	DET
cord-010719-90379pjd	160	5	system	system	NOUN
cord-010719-90379pjd	160	6	loses	lose	VERB
cord-010719-90379pjd	160	7	the	the	DET
cord-010719-90379pjd	160	8	information	information	NOUN
cord-010719-90379pjd	160	9	related	relate	VERB
cord-010719-90379pjd	160	10	to	to	ADP
cord-010719-90379pjd	160	11	past	past	ADJ
cord-010719-90379pjd	160	12	times	time	NOUN
cord-010719-90379pjd	160	13	and	and	CCONJ
cord-010719-90379pjd	160	14	tends	tend	VERB
cord-010719-90379pjd	160	15	to	to	PART
cord-010719-90379pjd	160	16	present	present	VERB
cord-010719-90379pjd	160	17	a	a	DET
cord-010719-90379pjd	160	18	behavior	behavior	NOUN
cord-010719-90379pjd	160	19	similar	similar	ADJ
cord-010719-90379pjd	160	20	to	to	ADP
cord-010719-90379pjd	160	21	a	a	DET
cord-010719-90379pjd	160	22	memoryless	memoryless	NOUN
cord-010719-90379pjd	160	23	system	system	NOUN
cord-010719-90379pjd	160	24	.	.	PUNCT
cord-010719-90379pjd	161	1	finally	finally	ADV
cord-010719-90379pjd	161	2	,	,	PUNCT
cord-010719-90379pjd	161	3	one	one	PRON
cord-010719-90379pjd	161	4	can	can	AUX
cord-010719-90379pjd	161	5	consider	consider	VERB
cord-010719-90379pjd	161	6	"	"	PUNCT
cord-010719-90379pjd	161	7	to	to	PART
cord-010719-90379pjd	161	8	remove	remove	VERB
cord-010719-90379pjd	161	9	the	the	DET
cord-010719-90379pjd	161	10	memory	memory	NOUN
cord-010719-90379pjd	161	11	"	"	PUNCT
cord-010719-90379pjd	161	12	of	of	ADP
cord-010719-90379pjd	161	13	an	an	DET
cord-010719-90379pjd	161	14	epidemic	epidemic	NOUN
cord-010719-90379pjd	161	15	process	process	NOUN
cord-010719-90379pjd	161	16	at	at	ADP
cord-010719-90379pjd	161	17	various	various	ADJ
cord-010719-90379pjd	161	18	times	time	NOUN
cord-010719-90379pjd	161	19	.	.	PUNCT
cord-010719-90379pjd	162	1	at	at	ADP
cord-010719-90379pjd	162	2	each	each	DET
cord-010719-90379pjd	162	3	time	time	NOUN
cord-010719-90379pjd	162	4	step	step	NOUN
cord-010719-90379pjd	162	5	,	,	PUNCT
cord-010719-90379pjd	162	6	the	the	DET
cord-010719-90379pjd	162	7	system	system	NOUN
cord-010719-90379pjd	162	8	is	be	AUX
cord-010719-90379pjd	162	9	supposed	suppose	VERB
cord-010719-90379pjd	162	10	to	to	PART
cord-010719-90379pjd	162	11	lose	lose	VERB
cord-010719-90379pjd	162	12	(	(	PUNCT
cord-010719-90379pjd	162	13	or	or	CCONJ
cord-010719-90379pjd	162	14	practically	practically	ADV
cord-010719-90379pjd	162	15	negate	negate	VERB
cord-010719-90379pjd	162	16	)	)	PUNCT
cord-010719-90379pjd	162	17	the	the	DET
cord-010719-90379pjd	162	18	information	information	NOUN
cord-010719-90379pjd	162	19	about	about	ADP
cord-010719-90379pjd	162	20	the	the	DET
cord-010719-90379pjd	162	21	disease	disease	NOUN
cord-010719-90379pjd	162	22	before	before	ADP
cord-010719-90379pjd	162	23	some	some	DET
cord-010719-90379pjd	162	24	"	"	PUNCT
cord-010719-90379pjd	162	25	reawareness	reawareness	ADJ
cord-010719-90379pjd	162	26	time	time	NOUN
cord-010719-90379pjd	162	27	"	"	PUNCT
cord-010719-90379pjd	162	28	(	(	PUNCT
cord-010719-90379pjd	162	29	see	see	VERB
cord-010719-90379pjd	162	30	also	also	ADV
cord-010719-90379pjd	162	31	[	[	X
cord-010719-90379pjd	162	32	68	68	NUM
cord-010719-90379pjd	162	33	]	]	PUNCT
cord-010719-90379pjd	162	34	)	)	PUNCT
cord-010719-90379pjd	162	35	and	and	CCONJ
cord-010719-90379pjd	162	36	to	to	PART
cord-010719-90379pjd	162	37	continue	continue	VERB
cord-010719-90379pjd	162	38	its	its	PRON
cord-010719-90379pjd	162	39	dynamics	dynamic	NOUN
cord-010719-90379pjd	162	40	regardless	regardless	ADV
cord-010719-90379pjd	162	41	of	of	ADP
cord-010719-90379pjd	162	42	the	the	DET
cord-010719-90379pjd	162	43	past	past	NOUN
cord-010719-90379pjd	162	44	.	.	PUNCT
cord-010719-90379pjd	163	1	for	for	ADP
cord-010719-90379pjd	163	2	illustration	illustration	NOUN
cord-010719-90379pjd	163	3	,	,	PUNCT
cord-010719-90379pjd	163	4	consider	consider	VERB
cord-010719-90379pjd	163	5	the	the	DET
cord-010719-90379pjd	163	6	case	case	NOUN
cord-010719-90379pjd	163	7	of	of	ADP
cord-010719-90379pjd	163	8	such	such	DET
cord-010719-90379pjd	163	9	a	a	DET
cord-010719-90379pjd	163	10	sudden	sudden	ADJ
cord-010719-90379pjd	163	11	notice	notice	NOUN
cord-010719-90379pjd	163	12	that	that	SCONJ
cord-010719-90379pjd	163	13	in	in	ADP
cord-010719-90379pjd	163	14	this	this	DET
cord-010719-90379pjd	163	15	particular	particular	ADJ
cord-010719-90379pjd	163	16	illustrative	illustrative	ADJ
cord-010719-90379pjd	163	17	case	case	NOUN
cord-010719-90379pjd	163	18	,	,	PUNCT
cord-010719-90379pjd	163	19	the	the	DET
cord-010719-90379pjd	163	20	behavior	behavior	NOUN
cord-010719-90379pjd	163	21	of	of	ADP
cord-010719-90379pjd	163	22	the	the	DET
cord-010719-90379pjd	163	23	system	system	NOUN
cord-010719-90379pjd	163	24	is	be	AUX
cord-010719-90379pjd	163	25	seen	see	VERB
cord-010719-90379pjd	163	26	to	to	PART
cord-010719-90379pjd	163	27	be	be	AUX
cord-010719-90379pjd	163	28	close	close	ADJ
cord-010719-90379pjd	163	29	to	to	ADP
cord-010719-90379pjd	163	30	the	the	DET
cord-010719-90379pjd	163	31	dynamics	dynamic	NOUN
cord-010719-90379pjd	163	32	of	of	ADP
cord-010719-90379pjd	163	33	a	a	DET
cord-010719-90379pjd	163	34	memoryless	memoryless	NOUN
cord-010719-90379pjd	163	35	system	system	NOUN
cord-010719-90379pjd	163	36	,	,	PUNCT
cord-010719-90379pjd	163	37	since	since	SCONJ
cord-010719-90379pjd	163	38	contributions	contribution	NOUN
cord-010719-90379pjd	163	39	of	of	ADP
cord-010719-90379pjd	163	40	the	the	DET
cord-010719-90379pjd	163	41	memory	memory	NOUN
cord-010719-90379pjd	163	42	of	of	ADP
cord-010719-90379pjd	163	43	the	the	DET
cord-010719-90379pjd	163	44	system	system	NOUN
cord-010719-90379pjd	163	45	are	be	AUX
cord-010719-90379pjd	163	46	sometimes	sometimes	ADV
cord-010719-90379pjd	163	47	removed	remove	VERB
cord-010719-90379pjd	163	48	.	.	PUNCT
cord-010719-90379pjd	164	1	such	such	DET
cord-010719-90379pjd	164	2	an	an	DET
cord-010719-90379pjd	164	3	illustration	illustration	NOUN
cord-010719-90379pjd	164	4	points	point	NOUN
cord-010719-90379pjd	164	5	to	to	ADP
cord-010719-90379pjd	164	6	the	the	DET
cord-010719-90379pjd	164	7	interest	interest	NOUN
cord-010719-90379pjd	164	8	of	of	ADP
cord-010719-90379pjd	164	9	the	the	DET
cord-010719-90379pjd	164	10	model	model	NOUN
cord-010719-90379pjd	164	11	in	in	ADP
cord-010719-90379pjd	164	12	order	order	NOUN
cord-010719-90379pjd	164	13	to	to	PART
cord-010719-90379pjd	164	14	compare	compare	VERB
cord-010719-90379pjd	164	15	it	it	PRON
cord-010719-90379pjd	164	16	with	with	ADP
cord-010719-90379pjd	164	17	the	the	DET
cord-010719-90379pjd	164	18	case	case	NOUN
cord-010719-90379pjd	164	19	of	of	ADP
cord-010719-90379pjd	164	20	epidemics	epidemic	NOUN
cord-010719-90379pjd	164	21	spreading	spread	VERB
cord-010719-90379pjd	164	22	waves	wave	NOUN
cord-010719-90379pjd	164	23	[	[	X
cord-010719-90379pjd	164	24	65	65	NUM
cord-010719-90379pjd	164	25	]	]	PUNCT
cord-010719-90379pjd	164	26	;	;	PUNCT
cord-010719-90379pjd	164	27	for	for	ADP
cord-010719-90379pjd	164	28	completeness	completeness	NOUN
cord-010719-90379pjd	164	29	,	,	PUNCT
cord-010719-90379pjd	164	30	let	let	VERB
cord-010719-90379pjd	164	31	it	it	PRON
cord-010719-90379pjd	164	32	be	be	AUX
cord-010719-90379pjd	164	33	pointed	point	VERB
cord-010719-90379pjd	164	34	out	out	ADP
cord-010719-90379pjd	164	35	that	that	SCONJ
cord-010719-90379pjd	164	36	the	the	DET
cord-010719-90379pjd	164	37	connection	connection	NOUN
cord-010719-90379pjd	164	38	of	of	ADP
cord-010719-90379pjd	164	39	periodic	periodic	ADJ
cord-010719-90379pjd	164	40	epidemics	epidemic	NOUN
cord-010719-90379pjd	164	41	to	to	ADP
cord-010719-90379pjd	164	42	sir	sir	PROPN
cord-010719-90379pjd	164	43	models	model	NOUN
cord-010719-90379pjd	164	44	has	have	AUX
cord-010719-90379pjd	164	45	been	be	AUX
cord-010719-90379pjd	164	46	already	already	ADV
cord-010719-90379pjd	164	47	mentioned	mention	VERB
cord-010719-90379pjd	164	48	[	[	X
cord-010719-90379pjd	164	49	69	69	NUM
cord-010719-90379pjd	164	50	]	]	PUNCT
cord-010719-90379pjd	164	51	:	:	PUNCT
cord-010719-90379pjd	164	52	flu	flu	NOUN
cord-010719-90379pjd	164	53	is	be	AUX
cord-010719-90379pjd	164	54	yearly	yearly	ADV
cord-010719-90379pjd	164	55	recurrent	recurrent	ADJ
cord-010719-90379pjd	164	56	.	.	PUNCT
cord-010719-90379pjd	165	1	notice	notice	NOUN
cord-010719-90379pjd	165	2	also	also	ADV
cord-010719-90379pjd	165	3	that	that	SCONJ
cord-010719-90379pjd	165	4	the	the	DET
cord-010719-90379pjd	165	5	value	value	NOUN
cord-010719-90379pjd	165	6	of	of	ADP
cord-010719-90379pjd	165	7	α	α	PROPN
cord-010719-90379pjd	165	8	could	could	AUX
cord-010719-90379pjd	165	9	be	be	AUX
cord-010719-90379pjd	165	10	modified	modify	VERB
cord-010719-90379pjd	165	11	at	at	ADP
cord-010719-90379pjd	165	12	each	each	DET
cord-010719-90379pjd	165	13	new	new	ADJ
cord-010719-90379pjd	165	14	awareness	awareness	NOUN
cord-010719-90379pjd	165	15	time	time	NOUN
cord-010719-90379pjd	165	16	,	,	PUNCT
cord-010719-90379pjd	165	17	but	but	CCONJ
cord-010719-90379pjd	165	18	this	this	DET
cord-010719-90379pjd	165	19	investigation	investigation	NOUN
cord-010719-90379pjd	165	20	goes	go	VERB
cord-010719-90379pjd	165	21	outside	outside	ADP
cord-010719-90379pjd	165	22	the	the	DET
cord-010719-90379pjd	165	23	present	present	ADJ
cord-010719-90379pjd	165	24	paper	paper	NOUN
cord-010719-90379pjd	165	25	.	.	PUNCT
cord-010719-90379pjd	166	1	so	so	ADV
cord-010719-90379pjd	166	2	far	far	ADV
cord-010719-90379pjd	166	3	we	we	PRON
cord-010719-90379pjd	166	4	have	have	AUX
cord-010719-90379pjd	166	5	considered	consider	VERB
cord-010719-90379pjd	166	6	the	the	DET
cord-010719-90379pjd	166	7	fully	fully	ADV
cord-010719-90379pjd	166	8	mixed	mixed	ADJ
cord-010719-90379pjd	166	9	approximation	approximation	NOUN
cord-010719-90379pjd	166	10	,	,	PUNCT
cord-010719-90379pjd	166	11	such	such	ADJ
cord-010719-90379pjd	166	12	that	that	SCONJ
cord-010719-90379pjd	166	13	an	an	DET
cord-010719-90379pjd	166	14	infected	infected	ADJ
cord-010719-90379pjd	166	15	individual	individual	NOUN
cord-010719-90379pjd	166	16	is	be	AUX
cord-010719-90379pjd	166	17	equally	equally	ADV
cord-010719-90379pjd	166	18	likely	likely	ADJ
cord-010719-90379pjd	166	19	to	to	PART
cord-010719-90379pjd	166	20	spread	spread	VERB
cord-010719-90379pjd	166	21	the	the	DET
cord-010719-90379pjd	166	22	disease	disease	NOUN
cord-010719-90379pjd	166	23	to	to	ADP
cord-010719-90379pjd	166	24	any	any	DET
cord-010719-90379pjd	166	25	other	other	ADJ
cord-010719-90379pjd	166	26	individual	individual	NOUN
cord-010719-90379pjd	166	27	.	.	PUNCT
cord-010719-90379pjd	167	1	however	however	ADV
cord-010719-90379pjd	167	2	,	,	PUNCT
cord-010719-90379pjd	167	3	in	in	ADP
cord-010719-90379pjd	167	4	the	the	DET
cord-010719-90379pjd	167	5	real	real	ADJ
cord-010719-90379pjd	167	6	world	world	NOUN
cord-010719-90379pjd	167	7	an	an	DET
cord-010719-90379pjd	167	8	individual	individual	NOUN
cord-010719-90379pjd	167	9	connects	connect	VERB
cord-010719-90379pjd	167	10	to	to	ADP
cord-010719-90379pjd	167	11	a	a	DET
cord-010719-90379pjd	167	12	small	small	ADJ
cord-010719-90379pjd	167	13	fraction	fraction	NOUN
cord-010719-90379pjd	167	14	of	of	ADP
cord-010719-90379pjd	167	15	people	people	NOUN
cord-010719-90379pjd	167	16	.	.	PUNCT
cord-010719-90379pjd	168	1	hence	hence	ADV
cord-010719-90379pjd	168	2	,	,	PUNCT
cord-010719-90379pjd	168	3	as	as	SCONJ
cord-010719-90379pjd	168	4	is	be	AUX
cord-010719-90379pjd	168	5	well	well	ADV
cord-010719-90379pjd	168	6	known	know	VERB
cord-010719-90379pjd	168	7	,	,	PUNCT
cord-010719-90379pjd	168	8	more	more	ADV
cord-010719-90379pjd	168	9	realistic	realistic	ADJ
cord-010719-90379pjd	168	10	modeling	modeling	NOUN
cord-010719-90379pjd	168	11	can	can	AUX
cord-010719-90379pjd	168	12	be	be	AUX
cord-010719-90379pjd	168	13	studied	study	VERB
cord-010719-90379pjd	168	14	through	through	ADP
cord-010719-90379pjd	168	15	networks	network	NOUN
cord-010719-90379pjd	168	16	,	,	PUNCT
cord-010719-90379pjd	168	17	where	where	SCONJ
cord-010719-90379pjd	168	18	their	their	PRON
cord-010719-90379pjd	168	19	topology	topology	NOUN
cord-010719-90379pjd	168	20	has	have	VERB
cord-010719-90379pjd	168	21	a	a	DET
cord-010719-90379pjd	168	22	significant	significant	ADJ
cord-010719-90379pjd	168	23	effect	effect	NOUN
cord-010719-90379pjd	168	24	on	on	ADP
cord-010719-90379pjd	168	25	the	the	DET
cord-010719-90379pjd	168	26	epidemic	epidemic	NOUN
cord-010719-90379pjd	168	27	process	process	NOUN
cord-010719-90379pjd	168	28	[	[	X
cord-010719-90379pjd	168	29	70	70	NUM
cord-010719-90379pjd	168	30	]	]	PUNCT
cord-010719-90379pjd	168	31	[	[	X
cord-010719-90379pjd	168	32	71	71	NUM
cord-010719-90379pjd	168	33	]	]	PUNCT
cord-010719-90379pjd	169	1	[	[	X
cord-010719-90379pjd	169	2	72	72	NUM
cord-010719-90379pjd	169	3	]	]	PUNCT
cord-010719-90379pjd	169	4	.	.	PUNCT
cord-010719-90379pjd	170	1	for	for	ADP
cord-010719-90379pjd	170	2	homogeneous	homogeneous	ADJ
cord-010719-90379pjd	170	3	networks	network	NOUN
cord-010719-90379pjd	170	4	,	,	PUNCT
cord-010719-90379pjd	170	5	each	each	DET
cord-010719-90379pjd	170	6	individual	individual	NOUN
cord-010719-90379pjd	170	7	has	have	VERB
cord-010719-90379pjd	170	8	the	the	DET
cord-010719-90379pjd	170	9	same	same	ADJ
cord-010719-90379pjd	170	10	number	number	NOUN
cord-010719-90379pjd	170	11	of	of	ADP
cord-010719-90379pjd	170	12	connections	connection	NOUN
cord-010719-90379pjd	170	13	k	k	PROPN
cord-010719-90379pjd	170	14	≈	≈	PROPN
cord-010719-90379pjd	170	15	k	k	PROPN
cord-010719-90379pjd	170	16	and	and	CCONJ
cord-010719-90379pjd	170	17	disease	disease	NOUN
cord-010719-90379pjd	170	18	propagates	propagate	VERB
cord-010719-90379pjd	170	19	with	with	ADP
cord-010719-90379pjd	170	20	spreading	spread	VERB
cord-010719-90379pjd	170	21	rate	rate	NOUN
cord-010719-90379pjd	170	22	β	β	PROPN
cord-010719-90379pjd	170	23	k	k	PROPN
cord-010719-90379pjd	170	24	.	.	PUNCT
cord-010719-90379pjd	171	1	in	in	ADP
cord-010719-90379pjd	171	2	this	this	DET
cord-010719-90379pjd	171	3	case	case	NOUN
cord-010719-90379pjd	171	4	,	,	PUNCT
cord-010719-90379pjd	171	5	it	it	PRON
cord-010719-90379pjd	171	6	is	be	AUX
cord-010719-90379pjd	171	7	obvious	obvious	ADJ
cord-010719-90379pjd	171	8	that	that	SCONJ
cord-010719-90379pjd	171	9	the	the	DET
cord-010719-90379pjd	171	10	epidemic	epidemic	NOUN
cord-010719-90379pjd	171	11	threshold	threshold	NOUN
cord-010719-90379pjd	171	12	(	(	PUNCT
cord-010719-90379pjd	171	13	β	β	NOUN
cord-010719-90379pjd	171	14	γ	γ	NOUN
cord-010719-90379pjd	171	15	)	)	PUNCT
cord-010719-90379pjd	171	16	c	c	PROPN
cord-010719-90379pjd	171	17	is	be	AUX
cord-010719-90379pjd	171	18	simply	simply	ADV
cord-010719-90379pjd	171	19	replaced	replace	VERB
cord-010719-90379pjd	171	20	by	by	ADP
cord-010719-90379pjd	171	21	(	(	PUNCT
cord-010719-90379pjd	171	22	β	β	NOUN
cord-010719-90379pjd	171	23	γ	γ	X
cord-010719-90379pjd	171	24	)	)	PUNCT
cord-010719-90379pjd	172	1	c	c	X
cord-010719-90379pjd	172	2	k	k	INTJ
cord-010719-90379pjd	172	3	.	.	PUNCT
cord-010719-90379pjd	173	1	it	it	PRON
cord-010719-90379pjd	173	2	is	be	AUX
cord-010719-90379pjd	173	3	also	also	ADV
cord-010719-90379pjd	173	4	true	true	ADJ
cord-010719-90379pjd	173	5	for	for	ADP
cord-010719-90379pjd	173	6	the	the	DET
cord-010719-90379pjd	173	7	case	case	NOUN
cord-010719-90379pjd	173	8	of	of	ADP
cord-010719-90379pjd	173	9	fractional	fractional	ADJ
cord-010719-90379pjd	173	10	differential	differential	ADJ
cord-010719-90379pjd	173	11	equations	equation	NOUN
cord-010719-90379pjd	173	12	(	(	PUNCT
cord-010719-90379pjd	173	13	4	4	NUM
cord-010719-90379pjd	173	14	)	)	PUNCT
cord-010719-90379pjd	173	15	.	.	PUNCT
cord-010719-90379pjd	174	1	in	in	ADP
cord-010719-90379pjd	174	2	other	other	ADJ
cord-010719-90379pjd	174	3	words	word	NOUN
cord-010719-90379pjd	174	4	,	,	PUNCT
cord-010719-90379pjd	174	5	threshold	threshold	NOUN
cord-010719-90379pjd	174	6	point	point	NOUN
cord-010719-90379pjd	174	7	in	in	ADP
cord-010719-90379pjd	174	8	fig	fig	NOUN
cord-010719-90379pjd	174	9	.	.	PUNCT
cord-010719-90379pjd	175	1	1	1	NUM
cord-010719-90379pjd	175	2	for	for	ADP
cord-010719-90379pjd	175	3	each	each	DET
cord-010719-90379pjd	175	4	value	value	NOUN
cord-010719-90379pjd	175	5	of	of	ADP
cord-010719-90379pjd	175	6	α	α	PRON
cord-010719-90379pjd	175	7	is	be	AUX
cord-010719-90379pjd	175	8	shifted	shift	VERB
cord-010719-90379pjd	175	9	to	to	ADP
cord-010719-90379pjd	175	10	(	(	PUNCT
cord-010719-90379pjd	175	11	β	β	NOUN
cord-010719-90379pjd	175	12	γ	γ	NOUN
cord-010719-90379pjd	175	13	)	)	PUNCT
cord-010719-90379pjd	176	1	c	c	X
cord-010719-90379pjd	176	2	k	k	PROPN
cord-010719-90379pjd	176	3	.	.	PUNCT
cord-010719-90379pjd	177	1	now	now	ADV
cord-010719-90379pjd	177	2	,	,	PUNCT
cord-010719-90379pjd	177	3	let	let	VERB
cord-010719-90379pjd	177	4	us	we	PRON
cord-010719-90379pjd	177	5	consider	consider	VERB
cord-010719-90379pjd	177	6	heterogeneous	heterogeneous	ADJ
cord-010719-90379pjd	177	7	scale	scale	NOUN
cord-010719-90379pjd	177	8	-	-	PUNCT
cord-010719-90379pjd	177	9	free	free	ADJ
cord-010719-90379pjd	177	10	networks	network	NOUN
cord-010719-90379pjd	177	11	with	with	ADP
cord-010719-90379pjd	177	12	degree	degree	NOUN
cord-010719-90379pjd	177	13	distribution	distribution	NOUN
cord-010719-90379pjd	177	14	p	p	NOUN
cord-010719-90379pjd	177	15	(	(	PUNCT
cord-010719-90379pjd	177	16	k	k	NOUN
cord-010719-90379pjd	177	17	)	)	PUNCT
cord-010719-90379pjd	178	1	∼	∼	PROPN
cord-010719-90379pjd	178	2	k	k	PROPN
cord-010719-90379pjd	178	3	−λ	−λ	PROPN
cord-010719-90379pjd	178	4	.	.	PUNCT
cord-010719-90379pjd	179	1	in	in	ADP
cord-010719-90379pjd	179	2	heterogeneous	heterogeneous	ADJ
cord-010719-90379pjd	179	3	meanfield	meanfield	PROPN
cord-010719-90379pjd	179	4	approximation	approximation	NOUN
cord-010719-90379pjd	179	5	,	,	PUNCT
cord-010719-90379pjd	179	6	it	it	PRON
cord-010719-90379pjd	179	7	is	be	AUX
cord-010719-90379pjd	179	8	assumed	assume	VERB
cord-010719-90379pjd	179	9	that	that	SCONJ
cord-010719-90379pjd	179	10	all	all	DET
cord-010719-90379pjd	179	11	nodes	node	NOUN
cord-010719-90379pjd	179	12	are	be	AUX
cord-010719-90379pjd	179	13	statistically	statistically	ADV
cord-010719-90379pjd	179	14	equivalent	equivalent	ADJ
cord-010719-90379pjd	179	15	and	and	CCONJ
cord-010719-90379pjd	179	16	thus	thus	ADV
cord-010719-90379pjd	179	17	one	one	PRON
cord-010719-90379pjd	179	18	can	can	AUX
cord-010719-90379pjd	179	19	consider	consider	VERB
cord-010719-90379pjd	179	20	groups	group	NOUN
cord-010719-90379pjd	179	21	of	of	ADP
cord-010719-90379pjd	179	22	nodes	node	NOUN
cord-010719-90379pjd	179	23	with	with	ADP
cord-010719-90379pjd	179	24	the	the	DET
cord-010719-90379pjd	179	25	same	same	ADJ
cord-010719-90379pjd	179	26	degree	degree	NOUN
cord-010719-90379pjd	179	27	k.	k.	NOUN
cord-010719-90379pjd	179	28	with	with	ADP
cord-010719-90379pjd	179	29	this	this	DET
cord-010719-90379pjd	179	30	assumption	assumption	NOUN
cord-010719-90379pjd	179	31	the	the	DET
cord-010719-90379pjd	179	32	ordinary	ordinary	ADJ
cord-010719-90379pjd	179	33	differential	differential	ADJ
cord-010719-90379pjd	179	34	equations	equation	NOUN
cord-010719-90379pjd	179	35	describing	describe	VERB
cord-010719-90379pjd	179	36	the	the	DET
cord-010719-90379pjd	179	37	sir	sir	PROPN
cord-010719-90379pjd	179	38	model	model	NOUN
cord-010719-90379pjd	179	39	are	be	AUX
cord-010719-90379pjd	179	40	given	give	VERB
cord-010719-90379pjd	179	41	by	by	ADP
cord-010719-90379pjd	179	42	where	where	SCONJ
cord-010719-90379pjd	179	43	and	and	CCONJ
cord-010719-90379pjd	179	44	i	i	PRON
cord-010719-90379pjd	179	45	k	k	PROPN
cord-010719-90379pjd	179	46	,	,	PUNCT
cord-010719-90379pjd	179	47	s	s	PROPN
cord-010719-90379pjd	179	48	k	k	NOUN
cord-010719-90379pjd	179	49	,	,	PUNCT
cord-010719-90379pjd	179	50	and	and	CCONJ
cord-010719-90379pjd	179	51	r	r	NOUN
cord-010719-90379pjd	179	52	k	k	NOUN
cord-010719-90379pjd	179	53	denote	denote	VERB
cord-010719-90379pjd	179	54	the	the	DET
cord-010719-90379pjd	179	55	density	density	NOUN
cord-010719-90379pjd	179	56	of	of	ADP
cord-010719-90379pjd	179	57	infected	infect	VERB
cord-010719-90379pjd	179	58	,	,	PUNCT
cord-010719-90379pjd	179	59	susceptible	susceptible	ADJ
cord-010719-90379pjd	179	60	,	,	PUNCT
cord-010719-90379pjd	179	61	and	and	CCONJ
cord-010719-90379pjd	179	62	removed	remove	VERB
cord-010719-90379pjd	179	63	nodes	node	NOUN
cord-010719-90379pjd	179	64	in	in	ADP
cord-010719-90379pjd	179	65	each	each	DET
cord-010719-90379pjd	179	66	group	group	NOUN
cord-010719-90379pjd	179	67	,	,	PUNCT
cord-010719-90379pjd	179	68	respectively	respectively	ADV
cord-010719-90379pjd	179	69	.	.	PUNCT
cord-010719-90379pjd	180	1	it	it	PRON
cord-010719-90379pjd	180	2	turned	turn	VERB
cord-010719-90379pjd	180	3	out	out	ADP
cord-010719-90379pjd	180	4	that	that	SCONJ
cord-010719-90379pjd	180	5	in	in	ADP
cord-010719-90379pjd	180	6	scale	scale	NOUN
cord-010719-90379pjd	180	7	-	-	PUNCT
cord-010719-90379pjd	180	8	free	free	ADJ
cord-010719-90379pjd	180	9	networks	network	NOUN
cord-010719-90379pjd	180	10	characterized	characterize	VERB
cord-010719-90379pjd	180	11	by	by	ADP
cord-010719-90379pjd	180	12	a	a	DET
cord-010719-90379pjd	180	13	degree	degree	NOUN
cord-010719-90379pjd	180	14	exponent	exponent	NOUN
cord-010719-90379pjd	180	15	2	2	NUM
cord-010719-90379pjd	180	16	<	<	X
cord-010719-90379pjd	180	17	λ	λ	PROPN
cord-010719-90379pjd	180	18	3	3	NUM
cord-010719-90379pjd	180	19	,	,	PUNCT
cord-010719-90379pjd	180	20	there	there	PRON
cord-010719-90379pjd	180	21	is	be	VERB
cord-010719-90379pjd	180	22	no	no	DET
cord-010719-90379pjd	180	23	epidemic	epidemic	NOUN
cord-010719-90379pjd	180	24	threshold	threshold	NOUN
cord-010719-90379pjd	180	25	[	[	X
cord-010719-90379pjd	180	26	72	72	NUM
cord-010719-90379pjd	180	27	]	]	PUNCT
cord-010719-90379pjd	180	28	.	.	PUNCT
cord-010719-90379pjd	181	1	following	follow	VERB
cord-010719-90379pjd	181	2	the	the	DET
cord-010719-90379pjd	181	3	same	same	ADJ
cord-010719-90379pjd	181	4	procedure	procedure	NOUN
cord-010719-90379pjd	181	5	presented	present	VERB
cord-010719-90379pjd	181	6	in	in	ADP
cord-010719-90379pjd	181	7	sec	sec	PROPN
cord-010719-90379pjd	181	8	.	.	PROPN
cord-010719-90379pjd	181	9	ii	ii	PROPN
cord-010719-90379pjd	181	10	,	,	PUNCT
cord-010719-90379pjd	181	11	we	we	PRON
cord-010719-90379pjd	181	12	can	can	AUX
cord-010719-90379pjd	181	13	rewrite	rewrite	VERB
cord-010719-90379pjd	181	14	eqs	eqs	PROPN
cord-010719-90379pjd	181	15	.	.	PUNCT
cord-010719-90379pjd	182	1	(	(	PUNCT
cord-010719-90379pjd	182	2	10	10	NUM
cord-010719-90379pjd	182	3	)	)	PUNCT
cord-010719-90379pjd	182	4	to	to	ADP
cord-010719-90379pjd	182	5	the	the	DET
cord-010719-90379pjd	182	6	fractional	fractional	ADJ
cord-010719-90379pjd	182	7	derivatives	derivative	NOUN
cord-010719-90379pjd	182	8	,	,	PUNCT
cord-010719-90379pjd	182	9	as	as	SCONJ
cord-010719-90379pjd	182	10	follows	follow	VERB
cord-010719-90379pjd	182	11	:	:	PUNCT
cord-010719-90379pjd	182	12	,	,	PUNCT
cord-010719-90379pjd	182	13	for	for	ADP
cord-010719-90379pjd	182	14	a	a	DET
cord-010719-90379pjd	182	15	network	network	NOUN
cord-010719-90379pjd	182	16	with	with	ADP
cord-010719-90379pjd	182	17	degree	degree	NOUN
cord-010719-90379pjd	182	18	exponent	exponent	NOUN
cord-010719-90379pjd	182	19	λ	λ	PROPN
cord-010719-90379pjd	182	20	=	=	PROPN
cord-010719-90379pjd	182	21	3	3	NUM
cord-010719-90379pjd	182	22	,	,	PUNCT
cord-010719-90379pjd	182	23	we	we	PRON
cord-010719-90379pjd	182	24	solve	solve	VERB
cord-010719-90379pjd	182	25	eqs	eqs	PROPN
cord-010719-90379pjd	182	26	.	.	PUNCT
cord-010719-90379pjd	183	1	(	(	PUNCT
cord-010719-90379pjd	183	2	12	12	NUM
cord-010719-90379pjd	183	3	)	)	PUNCT
cord-010719-90379pjd	183	4	numerically	numerically	ADV
cord-010719-90379pjd	183	5	.	.	PUNCT
cord-010719-90379pjd	184	1	figure	figure	NOUN
cord-010719-90379pjd	184	2	6	6	NUM
cord-010719-90379pjd	184	3	shows	show	VERB
cord-010719-90379pjd	184	4	the	the	DET
cord-010719-90379pjd	184	5	evolution	evolution	NOUN
cord-010719-90379pjd	184	6	of	of	ADP
cord-010719-90379pjd	184	7	the	the	DET
cord-010719-90379pjd	184	8	fraction	fraction	NOUN
cord-010719-90379pjd	184	9	of	of	ADP
cord-010719-90379pjd	184	10	total	total	ADJ
cord-010719-90379pjd	184	11	infected	infect	VERB
cord-010719-90379pjd	184	12	individuals	individual	NOUN
cord-010719-90379pjd	184	13	i(t	i(t	PROPN
cord-010719-90379pjd	184	14	)	)	PUNCT
cord-010719-90379pjd	185	1	=	=	NOUN
cord-010719-90379pjd	185	2	k	k	X
cord-010719-90379pjd	185	3	p	p	PROPN
cord-010719-90379pjd	185	4	(	(	PUNCT
cord-010719-90379pjd	185	5	k)i	k)i	PROPN
cord-010719-90379pjd	185	6	k	k	PROPN
cord-010719-90379pjd	185	7	(	(	PUNCT
cord-010719-90379pjd	185	8	t	t	PROPN
cord-010719-90379pjd	185	9	)	)	PUNCT
cord-010719-90379pjd	185	10	,	,	PUNCT
cord-010719-90379pjd	185	11	with	with	ADP
cord-010719-90379pjd	185	12	considering	consider	VERB
cord-010719-90379pjd	185	13	memory	memory	NOUN
cord-010719-90379pjd	185	14	effects	effect	NOUN
cord-010719-90379pjd	185	15	with	with	ADP
cord-010719-90379pjd	185	16	different	different	ADJ
cord-010719-90379pjd	185	17	values	value	NOUN
cord-010719-90379pjd	185	18	of	of	ADP
cord-010719-90379pjd	185	19	α	α	NUM
cord-010719-90379pjd	185	20	.	.	PUNCT
cord-010719-90379pjd	186	1	while	while	SCONJ
cord-010719-90379pjd	186	2	for	for	ADP
cord-010719-90379pjd	186	3	a	a	DET
cord-010719-90379pjd	186	4	memoryless	memoryless	NOUN
cord-010719-90379pjd	186	5	sir	sir	PROPN
cord-010719-90379pjd	186	6	model	model	NOUN
cord-010719-90379pjd	186	7	(	(	PUNCT
cord-010719-90379pjd	186	8	α	α	PROPN
cord-010719-90379pjd	186	9	=	=	NOUN
cord-010719-90379pjd	186	10	1	1	NUM
cord-010719-90379pjd	186	11	)	)	PUNCT
cord-010719-90379pjd	186	12	,	,	PUNCT
cord-010719-90379pjd	186	13	the	the	DET
cord-010719-90379pjd	186	14	system	system	NOUN
cord-010719-90379pjd	186	15	reaches	reach	VERB
cord-010719-90379pjd	186	16	a	a	DET
cord-010719-90379pjd	186	17	stationary	stationary	ADJ
cord-010719-90379pjd	186	18	state	state	NOUN
cord-010719-90379pjd	186	19	after	after	ADP
cord-010719-90379pjd	186	20	a	a	DET
cord-010719-90379pjd	186	21	short	short	ADJ
cord-010719-90379pjd	186	22	time	time	NOUN
cord-010719-90379pjd	186	23	(	(	PUNCT
cord-010719-90379pjd	186	24	t	t	NOUN
cord-010719-90379pjd	186	25	20	20	NUM
cord-010719-90379pjd	186	26	)	)	PUNCT
cord-010719-90379pjd	186	27	,	,	PUNCT
cord-010719-90379pjd	186	28	the	the	DET
cord-010719-90379pjd	186	29	stationary	stationary	ADJ
cord-010719-90379pjd	186	30	time	time	NOUN
cord-010719-90379pjd	186	31	is	be	AUX
cord-010719-90379pjd	186	32	increased	increase	VERB
cord-010719-90379pjd	186	33	with	with	ADP
cord-010719-90379pjd	186	34	decreasing	decrease	VERB
cord-010719-90379pjd	186	35	the	the	DET
cord-010719-90379pjd	186	36	value	value	NOUN
cord-010719-90379pjd	186	37	of	of	ADP
cord-010719-90379pjd	186	38	α	α	PRON
cord-010719-90379pjd	186	39	.	.	PUNCT
cord-010719-90379pjd	187	1	furthermore	furthermore	ADV
cord-010719-90379pjd	187	2	,	,	PUNCT
cord-010719-90379pjd	187	3	we	we	PRON
cord-010719-90379pjd	187	4	obtain	obtain	VERB
cord-010719-90379pjd	187	5	the	the	DET
cord-010719-90379pjd	187	6	size	size	NOUN
cord-010719-90379pjd	187	7	of	of	ADP
cord-010719-90379pjd	187	8	outbreaks	outbreak	NOUN
cord-010719-90379pjd	187	9	at	at	ADP
cord-010719-90379pjd	187	10	a	a	DET
cord-010719-90379pjd	187	11	finite	finite	ADJ
cord-010719-90379pjd	187	12	time	time	NOUN
cord-010719-90379pjd	187	13	.	.	PUNCT
cord-010719-90379pjd	188	1	figure	figure	VERB
cord-010719-90379pjd	188	2	7	7	NUM
cord-010719-90379pjd	188	3	shows	show	VERB
cord-010719-90379pjd	188	4	1	1	NUM
cord-010719-90379pjd	188	5	−	−	SYM
cord-010719-90379pjd	188	6	s	s	NOUN
cord-010719-90379pjd	188	7	t	t	NOUN
cord-010719-90379pjd	188	8	,	,	PUNCT
cord-010719-90379pjd	188	9	measured	measure	VERB
cord-010719-90379pjd	188	10	with	with	ADP
cord-010719-90379pjd	188	11	accuracy	accuracy	NOUN
cord-010719-90379pjd	188	12	10	10	NUM
cord-010719-90379pjd	188	13	−5	−5	NOUN
cord-010719-90379pjd	188	14	until	until	SCONJ
cord-010719-90379pjd	188	15	t	t	PROPN
cord-010719-90379pjd	188	16	=	=	NOUN
cord-010719-90379pjd	188	17	100	100	NUM
cord-010719-90379pjd	188	18	for	for	ADP
cord-010719-90379pjd	188	19	different	different	ADJ
cord-010719-90379pjd	188	20	values	value	NOUN
cord-010719-90379pjd	188	21	of	of	ADP
cord-010719-90379pjd	188	22	α	α	PRON
cord-010719-90379pjd	188	23	.	.	PUNCT
cord-010719-90379pjd	189	1	as	as	SCONJ
cord-010719-90379pjd	189	2	we	we	PRON
cord-010719-90379pjd	189	3	can	can	AUX
cord-010719-90379pjd	189	4	see	see	VERB
cord-010719-90379pjd	189	5	,	,	PUNCT
cord-010719-90379pjd	189	6	the	the	DET
cord-010719-90379pjd	189	7	epidemic	epidemic	NOUN
cord-010719-90379pjd	189	8	threshold	threshold	NOUN
cord-010719-90379pjd	189	9	is	be	AUX
cord-010719-90379pjd	189	10	always	always	ADV
cord-010719-90379pjd	189	11	zero	zero	NUM
cord-010719-90379pjd	189	12	,	,	PUNCT
cord-010719-90379pjd	189	13	as	as	SCONJ
cord-010719-90379pjd	189	14	it	it	PRON
cord-010719-90379pjd	189	15	is	be	AUX
cord-010719-90379pjd	189	16	for	for	ADP
cord-010719-90379pjd	189	17	markov	markov	NOUN
cord-010719-90379pjd	189	18	epidemic	epidemic	NOUN
cord-010719-90379pjd	189	19	spreading	spread	VERB
cord-010719-90379pjd	189	20	on	on	ADP
cord-010719-90379pjd	189	21	scale	scale	NOUN
cord-010719-90379pjd	189	22	-	-	PUNCT
cord-010719-90379pjd	189	23	free	free	ADJ
cord-010719-90379pjd	189	24	networks	network	NOUN
cord-010719-90379pjd	189	25	with	with	ADP
cord-010719-90379pjd	189	26	λ	λ	PROPN
cord-010719-90379pjd	189	27	=	=	SYM
cord-010719-90379pjd	189	28	3	3	X
cord-010719-90379pjd	189	29	.	.	PUNCT
cord-010719-90379pjd	190	1	however	however	ADV
cord-010719-90379pjd	190	2	,	,	PUNCT
cord-010719-90379pjd	190	3	the	the	DET
cord-010719-90379pjd	190	4	size	size	NOUN
cord-010719-90379pjd	190	5	of	of	ADP
cord-010719-90379pjd	190	6	epidemic	epidemic	NOUN
cord-010719-90379pjd	190	7	decreases	decrease	VERB
cord-010719-90379pjd	190	8	with	with	ADP
cord-010719-90379pjd	190	9	decreasing	decrease	VERB
cord-010719-90379pjd	190	10	α	α	PROPN
cord-010719-90379pjd	190	11	.	.	PUNCT
cord-010719-90379pjd	191	1	the	the	DET
cord-010719-90379pjd	191	2	same	same	ADJ
cord-010719-90379pjd	191	3	results	result	NOUN
cord-010719-90379pjd	191	4	are	be	AUX
cord-010719-90379pjd	191	5	obtained	obtain	VERB
cord-010719-90379pjd	191	6	for	for	ADP
cord-010719-90379pjd	191	7	networks	network	NOUN
cord-010719-90379pjd	191	8	with	with	ADP
cord-010719-90379pjd	191	9	2	2	NUM
cord-010719-90379pjd	191	10	<	<	X
cord-010719-90379pjd	191	11	λ	λ	X
cord-010719-90379pjd	191	12	<	<	X
cord-010719-90379pjd	191	13	3	3	NUM
cord-010719-90379pjd	191	14	.	.	PUNCT
cord-010719-90379pjd	192	1	however	however	ADV
cord-010719-90379pjd	192	2	,	,	PUNCT
cord-010719-90379pjd	192	3	for	for	ADP
cord-010719-90379pjd	192	4	λ	λ	PROPN
cord-010719-90379pjd	192	5	>	>	SYM
cord-010719-90379pjd	192	6	3	3	NUM
cord-010719-90379pjd	192	7	,	,	PUNCT
cord-010719-90379pjd	192	8	the	the	DET
cord-010719-90379pjd	192	9	epidemic	epidemic	NOUN
cord-010719-90379pjd	192	10	threshold	threshold	NOUN
cord-010719-90379pjd	192	11	is	be	AUX
cord-010719-90379pjd	192	12	shifted	shift	VERB
cord-010719-90379pjd	192	13	with	with	ADP
cord-010719-90379pjd	192	14	including	include	VERB
cord-010719-90379pjd	192	15	the	the	DET
cord-010719-90379pjd	192	16	memory	memory	NOUN
cord-010719-90379pjd	192	17	,	,	PUNCT
cord-010719-90379pjd	192	18	similar	similar	ADJ
cord-010719-90379pjd	192	19	to	to	ADP
cord-010719-90379pjd	192	20	what	what	PRON
cord-010719-90379pjd	192	21	is	be	AUX
cord-010719-90379pjd	192	22	observed	observe	VERB
cord-010719-90379pjd	192	23	for	for	ADP
cord-010719-90379pjd	192	24	the	the	DET
cord-010719-90379pjd	192	25	homogeneous	homogeneous	ADJ
cord-010719-90379pjd	192	26	networks	network	NOUN
cord-010719-90379pjd	192	27	.	.	PUNCT
cord-010719-90379pjd	193	1	memory	memory	NOUN
cord-010719-90379pjd	193	2	plays	play	VERB
cord-010719-90379pjd	193	3	a	a	DET
cord-010719-90379pjd	193	4	significant	significant	ADJ
cord-010719-90379pjd	193	5	role	role	NOUN
cord-010719-90379pjd	193	6	in	in	ADP
cord-010719-90379pjd	193	7	the	the	DET
cord-010719-90379pjd	193	8	evolution	evolution	NOUN
cord-010719-90379pjd	193	9	of	of	ADP
cord-010719-90379pjd	193	10	many	many	ADJ
cord-010719-90379pjd	193	11	real	real	ADJ
cord-010719-90379pjd	193	12	dynamical	dynamical	ADJ
cord-010719-90379pjd	193	13	processes	process	NOUN
cord-010719-90379pjd	193	14	,	,	PUNCT
cord-010719-90379pjd	193	15	including	include	VERB
cord-010719-90379pjd	193	16	the	the	DET
cord-010719-90379pjd	193	17	cases	case	NOUN
cord-010719-90379pjd	193	18	of	of	ADP
cord-010719-90379pjd	193	19	epidemic	epidemic	NOUN
cord-010719-90379pjd	193	20	spreading	spread	VERB
cord-010719-90379pjd	193	21	.	.	PUNCT
cord-010719-90379pjd	194	1	here	here	ADV
cord-010719-90379pjd	194	2	we	we	PRON
cord-010719-90379pjd	194	3	have	have	AUX
cord-010719-90379pjd	194	4	reported	report	VERB
cord-010719-90379pjd	194	5	a	a	DET
cord-010719-90379pjd	194	6	study	study	NOUN
cord-010719-90379pjd	194	7	on	on	ADP
cord-010719-90379pjd	194	8	the	the	DET
cord-010719-90379pjd	194	9	evolution	evolution	NOUN
cord-010719-90379pjd	194	10	of	of	ADP
cord-010719-90379pjd	194	11	the	the	DET
cord-010719-90379pjd	194	12	sir	sir	PROPN
cord-010719-90379pjd	194	13	epidemic	epidemic	NOUN
cord-010719-90379pjd	194	14	model	model	NOUN
cord-010719-90379pjd	194	15	,	,	PUNCT
cord-010719-90379pjd	194	16	considering	consider	VERB
cord-010719-90379pjd	194	17	memory	memory	NOUN
cord-010719-90379pjd	194	18	effects	effect	NOUN
cord-010719-90379pjd	194	19	.	.	PUNCT
cord-010719-90379pjd	195	1	using	use	VERB
cord-010719-90379pjd	195	2	the	the	DET
cord-010719-90379pjd	195	3	fractional	fractional	ADJ
cord-010719-90379pjd	195	4	calculus	calculus	NOUN
cord-010719-90379pjd	195	5	technique	technique	NOUN
cord-010719-90379pjd	195	6	,	,	PUNCT
cord-010719-90379pjd	195	7	we	we	PRON
cord-010719-90379pjd	195	8	show	show	VERB
cord-010719-90379pjd	195	9	that	that	SCONJ
cord-010719-90379pjd	195	10	the	the	DET
cord-010719-90379pjd	195	11	dynamics	dynamic	NOUN
cord-010719-90379pjd	195	12	of	of	ADP
cord-010719-90379pjd	195	13	such	such	DET
cord-010719-90379pjd	195	14	a	a	DET
cord-010719-90379pjd	195	15	system	system	NOUN
cord-010719-90379pjd	195	16	depends	depend	VERB
cord-010719-90379pjd	195	17	on	on	ADP
cord-010719-90379pjd	195	18	the	the	DET
cord-010719-90379pjd	195	19	strength	strength	NOUN
cord-010719-90379pjd	195	20	of	of	ADP
cord-010719-90379pjd	195	21	memory	memory	NOUN
cord-010719-90379pjd	195	22	effects	effect	NOUN
cord-010719-90379pjd	195	23	,	,	PUNCT
cord-010719-90379pjd	195	24	controlled	control	VERB
cord-010719-90379pjd	195	25	by	by	ADP
cord-010719-90379pjd	195	26	the	the	DET
cord-010719-90379pjd	195	27	order	order	NOUN
cord-010719-90379pjd	195	28	of	of	ADP
cord-010719-90379pjd	195	29	fractional	fractional	ADJ
cord-010719-90379pjd	195	30	derivatives	derivative	NOUN
cord-010719-90379pjd	195	31	α	α	PRON
cord-010719-90379pjd	195	32	.	.	PUNCT
cord-010719-90379pjd	196	1	at	at	ADP
cord-010719-90379pjd	196	2	finite	finite	PROPN
cord-010719-90379pjd	196	3	times	time	NOUN
cord-010719-90379pjd	196	4	,	,	PUNCT
cord-010719-90379pjd	196	5	including	include	VERB
cord-010719-90379pjd	196	6	memory	memory	NOUN
cord-010719-90379pjd	196	7	effects	effect	NOUN
cord-010719-90379pjd	196	8	,	,	PUNCT
cord-010719-90379pjd	196	9	the	the	DET
cord-010719-90379pjd	196	10	epidemic	epidemic	NOUN
cord-010719-90379pjd	196	11	threshold	threshold	NOUN
cord-010719-90379pjd	196	12	(	(	PUNCT
cord-010719-90379pjd	196	13	β	β	NOUN
cord-010719-90379pjd	196	14	/	/	SYM
cord-010719-90379pjd	196	15	γ	γ	NUM
cord-010719-90379pjd	196	16	)	)	PUNCT
cord-010719-90379pjd	196	17	c	c	PROPN
cord-010719-90379pjd	196	18	is	be	AUX
cord-010719-90379pjd	196	19	shifted	shift	VERB
cord-010719-90379pjd	196	20	to	to	ADP
cord-010719-90379pjd	196	21	higher	high	ADJ
cord-010719-90379pjd	196	22	values	value	NOUN
cord-010719-90379pjd	196	23	than	than	ADP
cord-010719-90379pjd	196	24	those	those	PRON
cord-010719-90379pjd	196	25	for	for	ADP
cord-010719-90379pjd	196	26	memoryless	memoryless	NOUN
cord-010719-90379pjd	196	27	systems	system	NOUN
cord-010719-90379pjd	196	28	,	,	PUNCT
cord-010719-90379pjd	196	29	at	at	ADP
cord-010719-90379pjd	196	30	values	value	NOUN
cord-010719-90379pjd	196	31	depending	depend	VERB
cord-010719-90379pjd	196	32	on	on	ADP
cord-010719-90379pjd	196	33	the	the	DET
cord-010719-90379pjd	196	34	memory	memory	NOUN
cord-010719-90379pjd	196	35	decay	decay	NOUN
cord-010719-90379pjd	196	36	rate	rate	NOUN
cord-010719-90379pjd	196	37	α	α	PROPN
cord-010719-90379pjd	196	38	.	.	PUNCT
cord-010719-90379pjd	197	1	in	in	ADP
cord-010719-90379pjd	197	2	the	the	DET
cord-010719-90379pjd	197	3	case	case	NOUN
cord-010719-90379pjd	197	4	that	that	SCONJ
cord-010719-90379pjd	197	5	the	the	DET
cord-010719-90379pjd	197	6	model	model	NOUN
cord-010719-90379pjd	197	7	evolves	evolve	VERB
cord-010719-90379pjd	197	8	on	on	ADP
cord-010719-90379pjd	197	9	heterogeneous	heterogeneous	ADJ
cord-010719-90379pjd	197	10	scale	scale	NOUN
cord-010719-90379pjd	197	11	-	-	PUNCT
cord-010719-90379pjd	197	12	free	free	ADJ
cord-010719-90379pjd	197	13	networks	network	NOUN
cord-010719-90379pjd	197	14	with	with	ADP
cord-010719-90379pjd	197	15	2	2	NUM
cord-010719-90379pjd	197	16	<	<	X
cord-010719-90379pjd	197	17	λ	λ	PROPN
cord-010719-90379pjd	197	18	3	3	NUM
cord-010719-90379pjd	197	19	,	,	PUNCT
cord-010719-90379pjd	197	20	the	the	DET
cord-010719-90379pjd	197	21	threshold	threshold	NOUN
cord-010719-90379pjd	197	22	point	point	NOUN
cord-010719-90379pjd	197	23	is	be	AUX
cord-010719-90379pjd	197	24	always	always	ADV
cord-010719-90379pjd	197	25	zero	zero	NUM
cord-010719-90379pjd	197	26	.	.	PUNCT
cord-010719-90379pjd	198	1	however	however	ADV
cord-010719-90379pjd	198	2	,	,	PUNCT
cord-010719-90379pjd	198	3	the	the	DET
cord-010719-90379pjd	198	4	fraction	fraction	NOUN
cord-010719-90379pjd	198	5	of	of	ADP
cord-010719-90379pjd	198	6	individuals	individual	NOUN
cord-010719-90379pjd	198	7	who	who	PRON
cord-010719-90379pjd	198	8	are	be	AUX
cord-010719-90379pjd	198	9	infected	infect	VERB
cord-010719-90379pjd	198	10	or	or	CCONJ
cord-010719-90379pjd	198	11	recovered	recover	VERB
cord-010719-90379pjd	198	12	,	,	PUNCT
cord-010719-90379pjd	198	13	is	be	AUX
cord-010719-90379pjd	198	14	reduced	reduce	VERB
cord-010719-90379pjd	198	15	if	if	SCONJ
cord-010719-90379pjd	198	16	the	the	DET
cord-010719-90379pjd	198	17	memory	memory	NOUN
cord-010719-90379pjd	198	18	"	"	PUNCT
cord-010719-90379pjd	198	19	length	length	NOUN
cord-010719-90379pjd	198	20	"	"	PUNCT
cord-010719-90379pjd	198	21	increases	increase	NOUN
cord-010719-90379pjd	198	22	.	.	PUNCT
cord-010719-90379pjd	199	1	hence	hence	ADV
cord-010719-90379pjd	199	2	,	,	PUNCT
cord-010719-90379pjd	199	3	memory	memory	NOUN
cord-010719-90379pjd	199	4	renders	render	VERB
cord-010719-90379pjd	199	5	the	the	DET
cord-010719-90379pjd	199	6	system	system	NOUN
cord-010719-90379pjd	199	7	more	more	ADV
cord-010719-90379pjd	199	8	robust	robust	ADJ
cord-010719-90379pjd	199	9	against	against	ADP
cord-010719-90379pjd	199	10	the	the	DET
cord-010719-90379pjd	199	11	disease	disease	NOUN
cord-010719-90379pjd	199	12	spreading	spread	VERB
cord-010719-90379pjd	199	13	.	.	PUNCT
cord-010719-90379pjd	200	1	if	if	SCONJ
cord-010719-90379pjd	200	2	the	the	DET
cord-010719-90379pjd	200	3	epidemic	epidemic	NOUN
cord-010719-90379pjd	200	4	process	process	NOUN
cord-010719-90379pjd	200	5	evolves	evolve	VERB
cord-010719-90379pjd	200	6	further	far	ADV
cord-010719-90379pjd	200	7	in	in	ADP
cord-010719-90379pjd	200	8	time	time	NOUN
cord-010719-90379pjd	200	9	,	,	PUNCT
cord-010719-90379pjd	200	10	for	for	ADP
cord-010719-90379pjd	200	11	a	a	DET
cord-010719-90379pjd	200	12	fixed	fix	VERB
cord-010719-90379pjd	200	13	memory	memory	NOUN
cord-010719-90379pjd	200	14	strength	strength	NOUN
cord-010719-90379pjd	200	15	,	,	PUNCT
cord-010719-90379pjd	200	16	(	(	PUNCT
cord-010719-90379pjd	200	17	i	i	NOUN
cord-010719-90379pjd	200	18	)	)	PUNCT
cord-010719-90379pjd	200	19	the	the	DET
cord-010719-90379pjd	200	20	disease	disease	NOUN
cord-010719-90379pjd	200	21	can	can	AUX
cord-010719-90379pjd	200	22	infect	infect	VERB
cord-010719-90379pjd	200	23	more	more	ADJ
cord-010719-90379pjd	200	24	individuals	individual	NOUN
cord-010719-90379pjd	200	25	and	and	CCONJ
cord-010719-90379pjd	200	26	(	(	PUNCT
cord-010719-90379pjd	200	27	ii	ii	PROPN
cord-010719-90379pjd	200	28	)	)	PUNCT
cord-010719-90379pjd	200	29	the	the	DET
cord-010719-90379pjd	200	30	epidemic	epidemic	NOUN
cord-010719-90379pjd	200	31	threshold	threshold	NOUN
cord-010719-90379pjd	200	32	is	be	AUX
cord-010719-90379pjd	200	33	shifted	shift	VERB
cord-010719-90379pjd	200	34	to	to	ADP
cord-010719-90379pjd	200	35	smaller	small	ADJ
cord-010719-90379pjd	200	36	values	value	NOUN
cord-010719-90379pjd	200	37	and	and	CCONJ
cord-010719-90379pjd	200	38	tends	tend	VERB
cord-010719-90379pjd	200	39	to	to	ADP
cord-010719-90379pjd	200	40	the	the	DET
cord-010719-90379pjd	200	41	memoryless	memoryless	NOUN
cord-010719-90379pjd	200	42	case	case	NOUN
cord-010719-90379pjd	200	43	values	value	NOUN
cord-010719-90379pjd	200	44	.	.	PUNCT
cord-010719-90379pjd	201	1	furthermore	furthermore	ADV
cord-010719-90379pjd	201	2	,	,	PUNCT
cord-010719-90379pjd	201	3	we	we	PRON
cord-010719-90379pjd	201	4	have	have	AUX
cord-010719-90379pjd	201	5	shown	show	VERB
cord-010719-90379pjd	201	6	the	the	DET
cord-010719-90379pjd	201	7	following	follow	VERB
cord-010719-90379pjd	201	8	result	result	NOUN
cord-010719-90379pjd	201	9	:	:	PUNCT
cord-010719-90379pjd	201	10	the	the	DET
cord-010719-90379pjd	201	11	evolution	evolution	NOUN
cord-010719-90379pjd	201	12	of	of	ADP
cord-010719-90379pjd	201	13	an	an	DET
cord-010719-90379pjd	201	14	epidemic	epidemic	NOUN
cord-010719-90379pjd	201	15	process	process	NOUN
cord-010719-90379pjd	201	16	,	,	PUNCT
cord-010719-90379pjd	201	17	including	include	VERB
cord-010719-90379pjd	201	18	memory	memory	NOUN
cord-010719-90379pjd	201	19	effects	effect	NOUN
cord-010719-90379pjd	201	20	,	,	PUNCT
cord-010719-90379pjd	201	21	much	much	ADV
cord-010719-90379pjd	201	22	depends	depend	VERB
cord-010719-90379pjd	201	23	on	on	ADP
cord-010719-90379pjd	201	24	the	the	DET
cord-010719-90379pjd	201	25	fraction	fraction	NOUN
cord-010719-90379pjd	201	26	of	of	ADP
cord-010719-90379pjd	201	27	infected	infected	ADJ
cord-010719-90379pjd	201	28	individuals	individual	NOUN
cord-010719-90379pjd	201	29	at	at	ADP
cord-010719-90379pjd	201	30	the	the	DET
cord-010719-90379pjd	201	31	beginning	beginning	NOUN
cord-010719-90379pjd	201	32	of	of	ADP
cord-010719-90379pjd	201	33	the	the	DET
cord-010719-90379pjd	201	34	memory	memory	NOUN
cord-010719-90379pjd	201	35	effect	effect	NOUN
cord-010719-90379pjd	201	36	insertion	insertion	NOUN
cord-010719-90379pjd	201	37	in	in	ADP
cord-010719-90379pjd	201	38	the	the	DET
cord-010719-90379pjd	201	39	evolution	evolution	NOUN
cord-010719-90379pjd	201	40	.	.	PUNCT
cord-010719-90379pjd	202	1	during	during	ADP
cord-010719-90379pjd	202	2	a	a	DET
cord-010719-90379pjd	202	3	non	non	ADJ
cord-010719-90379pjd	202	4	-	-	ADJ
cord-010719-90379pjd	202	5	markovian	markovian	ADJ
cord-010719-90379pjd	202	6	epidemic	epidemic	NOUN
cord-010719-90379pjd	202	7	process	process	NOUN
cord-010719-90379pjd	202	8	,	,	PUNCT
cord-010719-90379pjd	202	9	if	if	SCONJ
cord-010719-90379pjd	202	10	the	the	DET
cord-010719-90379pjd	202	11	system	system	NOUN
cord-010719-90379pjd	202	12	abruptly	abruptly	ADV
cord-010719-90379pjd	202	13	loses	lose	VERB
cord-010719-90379pjd	202	14	its	its	PRON
cord-010719-90379pjd	202	15	memory	memory	NOUN
cord-010719-90379pjd	202	16	at	at	ADP
cord-010719-90379pjd	202	17	a	a	DET
cord-010719-90379pjd	202	18	definite	definite	ADJ
cord-010719-90379pjd	202	19	time	time	NOUN
cord-010719-90379pjd	202	20	and	and	CCONJ
cord-010719-90379pjd	202	21	if	if	SCONJ
cord-010719-90379pjd	202	22	from	from	ADP
cord-010719-90379pjd	202	23	that	that	DET
cord-010719-90379pjd	202	24	time	time	NOUN
cord-010719-90379pjd	202	25	on	on	ADP
cord-010719-90379pjd	202	26	,	,	PUNCT
cord-010719-90379pjd	202	27	one	one	PRON
cord-010719-90379pjd	202	28	lets	let	VERB
cord-010719-90379pjd	202	29	the	the	DET
cord-010719-90379pjd	202	30	non	non	ADJ
cord-010719-90379pjd	202	31	-	-	ADJ
cord-010719-90379pjd	202	32	markovian	markovian	ADJ
cord-010719-90379pjd	202	33	process	process	NOUN
cord-010719-90379pjd	202	34	continue	continue	VERB
cord-010719-90379pjd	202	35	again	again	ADV
cord-010719-90379pjd	202	36	,	,	PUNCT
cord-010719-90379pjd	202	37	starting	start	VERB
cord-010719-90379pjd	202	38	with	with	ADP
cord-010719-90379pjd	202	39	the	the	DET
cord-010719-90379pjd	202	40	number	number	NOUN
cord-010719-90379pjd	202	41	of	of	ADP
cord-010719-90379pjd	202	42	infected	infected	ADJ
cord-010719-90379pjd	202	43	individuals	individual	NOUN
cord-010719-90379pjd	202	44	at	at	ADP
cord-010719-90379pjd	202	45	that	that	DET
cord-010719-90379pjd	202	46	time	time	NOUN
cord-010719-90379pjd	202	47	,	,	PUNCT
cord-010719-90379pjd	202	48	the	the	DET
cord-010719-90379pjd	202	49	dynamics	dynamic	NOUN
cord-010719-90379pjd	202	50	of	of	ADP
cord-010719-90379pjd	202	51	the	the	DET
cord-010719-90379pjd	202	52	system	system	NOUN
cord-010719-90379pjd	202	53	deviates	deviate	VERB
cord-010719-90379pjd	202	54	from	from	ADP
cord-010719-90379pjd	202	55	the	the	DET
cord-010719-90379pjd	202	56	basic	basic	ADJ
cord-010719-90379pjd	202	57	case	case	NOUN
cord-010719-90379pjd	202	58	,	,	PUNCT
cord-010719-90379pjd	202	59	in	in	ADP
cord-010719-90379pjd	202	60	which	which	PRON
cord-010719-90379pjd	202	61	the	the	DET
cord-010719-90379pjd	202	62	system	system	NOUN
cord-010719-90379pjd	202	63	continuously	continuously	ADV
cord-010719-90379pjd	202	64	includes	include	VERB
cord-010719-90379pjd	202	65	memory	memory	NOUN
cord-010719-90379pjd	202	66	effects	effect	NOUN
cord-010719-90379pjd	202	67	from	from	ADP
cord-010719-90379pjd	202	68	the	the	DET
cord-010719-90379pjd	202	69	beginning	beginning	NOUN
cord-010719-90379pjd	202	70	of	of	ADP
cord-010719-90379pjd	202	71	the	the	DET
cord-010719-90379pjd	202	72	process	process	NOUN
cord-010719-90379pjd	202	73	.	.	PUNCT
cord-010719-90379pjd	203	1	our	our	PRON
cord-010719-90379pjd	203	2	observations	observation	NOUN
cord-010719-90379pjd	203	3	are	be	AUX
cord-010719-90379pjd	203	4	obtained	obtain	VERB
cord-010719-90379pjd	203	5	from	from	ADP
cord-010719-90379pjd	203	6	a	a	DET
cord-010719-90379pjd	203	7	simple	simple	ADJ
cord-010719-90379pjd	203	8	epidemiological	epidemiological	ADJ
cord-010719-90379pjd	203	9	model	model	NOUN
cord-010719-90379pjd	203	10	:	:	PUNCT
cord-010719-90379pjd	203	11	the	the	DET
cord-010719-90379pjd	203	12	sir	sir	PROPN
cord-010719-90379pjd	203	13	model	model	NOUN
cord-010719-90379pjd	203	14	.	.	PUNCT
cord-010719-90379pjd	204	1	obviously	obviously	ADV
cord-010719-90379pjd	204	2	many	many	ADJ
cord-010719-90379pjd	204	3	parameters	parameter	NOUN
cord-010719-90379pjd	204	4	are	be	AUX
cord-010719-90379pjd	204	5	here	here	ADV
cord-010719-90379pjd	204	6	assumed	assume	VERB
cord-010719-90379pjd	204	7	to	to	PART
cord-010719-90379pjd	204	8	be	be	AUX
cord-010719-90379pjd	204	9	constant	constant	ADJ
cord-010719-90379pjd	204	10	.	.	PUNCT
cord-010719-90379pjd	205	1	we	we	PRON
cord-010719-90379pjd	205	2	are	be	AUX
cord-010719-90379pjd	205	3	aware	aware	ADJ
cord-010719-90379pjd	205	4	that	that	SCONJ
cord-010719-90379pjd	205	5	some	some	DET
cord-010719-90379pjd	205	6	,	,	PUNCT
cord-010719-90379pjd	205	7	e.g.	e.g.	ADV
cord-010719-90379pjd	205	8	,	,	PUNCT
cord-010719-90379pjd	205	9	policy	policy	NOUN
cord-010719-90379pjd	205	10	,	,	PUNCT
cord-010719-90379pjd	205	11	feedback	feedback	NOUN
cord-010719-90379pjd	205	12	might	might	AUX
cord-010719-90379pjd	205	13	influence	influence	VERB
cord-010719-90379pjd	205	14	the	the	DET
cord-010719-90379pjd	205	15	parameter	parameter	NOUN
cord-010719-90379pjd	205	16	values	value	NOUN
cord-010719-90379pjd	205	17	.	.	PUNCT
cord-010719-90379pjd	206	1	they	they	PRON
cord-010719-90379pjd	206	2	may	may	AUX
cord-010719-90379pjd	206	3	depend	depend	VERB
cord-010719-90379pjd	206	4	on	on	ADP
cord-010719-90379pjd	206	5	space	space	NOUN
cord-010719-90379pjd	206	6	,	,	PUNCT
cord-010719-90379pjd	206	7	groups	group	NOUN
cord-010719-90379pjd	206	8	,	,	PUNCT
cord-010719-90379pjd	206	9	and	and	CCONJ
cord-010719-90379pjd	206	10	time	time	NOUN
cord-010719-90379pjd	206	11	.	.	PUNCT
cord-010719-90379pjd	207	1	external	external	ADJ
cord-010719-90379pjd	207	2	field	field	NOUN
cord-010719-90379pjd	207	3	conditions	condition	NOUN
cord-010719-90379pjd	207	4	may	may	AUX
cord-010719-90379pjd	207	5	also	also	ADV
cord-010719-90379pjd	207	6	surely	surely	ADV
cord-010719-90379pjd	207	7	influence	influence	VERB
cord-010719-90379pjd	207	8	real	real	ADJ
cord-010719-90379pjd	207	9	aspects	aspect	NOUN
cord-010719-90379pjd	207	10	.	.	PUNCT
cord-010719-90379pjd	208	1	however	however	ADV
cord-010719-90379pjd	208	2	,	,	PUNCT
cord-010719-90379pjd	208	3	we	we	PRON
cord-010719-90379pjd	208	4	guess	guess	VERB
cord-010719-90379pjd	208	5	that	that	SCONJ
cord-010719-90379pjd	208	6	many	many	ADJ
cord-010719-90379pjd	208	7	qualitative	qualitative	ADJ
cord-010719-90379pjd	208	8	behaviors	behavior	NOUN
cord-010719-90379pjd	208	9	as	as	SCONJ
cord-010719-90379pjd	208	10	those	those	PRON
cord-010719-90379pjd	208	11	presented	present	VERB
cord-010719-90379pjd	208	12	here	here	ADV
cord-010719-90379pjd	208	13	are	be	AUX
cord-010719-90379pjd	208	14	likely	likely	ADJ
cord-010719-90379pjd	208	15	to	to	PART
cord-010719-90379pjd	208	16	be	be	AUX
cord-010719-90379pjd	208	17	quite	quite	ADV
cord-010719-90379pjd	208	18	generally	generally	ADV
cord-010719-90379pjd	208	19	found	find	VERB
cord-010719-90379pjd	208	20	in	in	ADP
cord-010719-90379pjd	208	21	reality	reality	NOUN
cord-010719-90379pjd	208	22	.	.	PUNCT
cord-010719-90379pjd	209	1	more	more	ADV
cord-010719-90379pjd	209	2	advanced	advanced	ADJ
cord-010719-90379pjd	209	3	epidemic	epidemic	NOUN
cord-010719-90379pjd	209	4	models	model	NOUN
cord-010719-90379pjd	209	5	,	,	PUNCT
cord-010719-90379pjd	209	6	based	base	VERB
cord-010719-90379pjd	209	7	on	on	ADP
cord-010719-90379pjd	209	8	various	various	ADJ
cord-010719-90379pjd	209	9	types	type	NOUN
cord-010719-90379pjd	209	10	of	of	ADP
cord-010719-90379pjd	209	11	complex	complex	ADJ
cord-010719-90379pjd	209	12	networks	network	NOUN
cord-010719-90379pjd	209	13	,	,	PUNCT
cord-010719-90379pjd	209	14	are	be	AUX
cord-010719-90379pjd	209	15	surely	surely	ADV
cord-010719-90379pjd	209	16	interesting	interesting	ADJ
cord-010719-90379pjd	209	17	subjects	subject	NOUN
cord-010719-90379pjd	209	18	for	for	ADP
cord-010719-90379pjd	209	19	further	further	ADJ
cord-010719-90379pjd	209	20	investigations	investigation	NOUN
cord-010719-90379pjd	209	21	,	,	PUNCT
cord-010719-90379pjd	209	22	in	in	ADP
cord-010719-90379pjd	209	23	line	line	NOUN
cord-010719-90379pjd	209	24	with	with	ADP
cord-010719-90379pjd	209	25	investigations	investigation	NOUN
cord-010719-90379pjd	209	26	such	such	ADJ
cord-010719-90379pjd	209	27	as	as	ADP
cord-010719-90379pjd	209	28	,	,	PUNCT
cord-010719-90379pjd	209	29	e.g.	e.g.	ADV
cord-010719-90379pjd	209	30	,	,	PUNCT
cord-010719-90379pjd	209	31	in	in	ADP
cord-010719-90379pjd	209	32	[	[	X
cord-010719-90379pjd	209	33	30	30	NUM
cord-010719-90379pjd	209	34	]	]	PUNCT
cord-010719-90379pjd	209	35	[	[	X
cord-010719-90379pjd	209	36	31	31	NUM
cord-010719-90379pjd	209	37	]	]	PUNCT
cord-010719-90379pjd	209	38	[	[	X
cord-010719-90379pjd	209	39	32	32	NUM
cord-010719-90379pjd	209	40	]	]	PUNCT
cord-010719-90379pjd	210	1	[	[	X
cord-010719-90379pjd	210	2	33	33	NUM
cord-010719-90379pjd	210	3	]	]	PUNCT
cord-010719-90379pjd	210	4	[	[	X
cord-010719-90379pjd	210	5	34	34	NUM
cord-010719-90379pjd	210	6	]	]	PUNCT
cord-010719-90379pjd	210	7	.	.	PUNCT
cord-010719-90379pjd	211	1	we	we	PRON
cord-010719-90379pjd	211	2	also	also	ADV
cord-010719-90379pjd	211	3	wish	wish	VERB
cord-010719-90379pjd	211	4	to	to	PART
cord-010719-90379pjd	211	5	point	point	VERB
cord-010719-90379pjd	211	6	out	out	ADP
cord-010719-90379pjd	211	7	that	that	SCONJ
cord-010719-90379pjd	211	8	we	we	PRON
cord-010719-90379pjd	211	9	have	have	AUX
cord-010719-90379pjd	211	10	observed	observe	VERB
cord-010719-90379pjd	211	11	qualitatively	qualitatively	ADV
cord-010719-90379pjd	211	12	similar	similar	ADJ
cord-010719-90379pjd	211	13	results	result	NOUN
cord-010719-90379pjd	211	14	for	for	ADP
cord-010719-90379pjd	211	15	the	the	DET
cord-010719-90379pjd	211	16	sis	sis	PROPN
cord-010719-90379pjd	211	17	epidemic	epidemic	NOUN
cord-010719-90379pjd	211	18	model	model	NOUN
cord-010719-90379pjd	211	19	.	.	PUNCT
cord-010719-90379pjd	212	1	finally	finally	ADV
cord-010719-90379pjd	212	2	,	,	PUNCT
cord-010719-90379pjd	212	3	we	we	PRON
cord-010719-90379pjd	212	4	may	may	AUX
cord-010719-90379pjd	212	5	claim	claim	VERB
cord-010719-90379pjd	212	6	that	that	SCONJ
cord-010719-90379pjd	212	7	our	our	PRON
cord-010719-90379pjd	212	8	results	result	NOUN
cord-010719-90379pjd	212	9	are	be	AUX
cord-010719-90379pjd	212	10	not	not	PART
cord-010719-90379pjd	212	11	limited	limit	VERB
cord-010719-90379pjd	212	12	to	to	ADP
cord-010719-90379pjd	212	13	the	the	DET
cord-010719-90379pjd	212	14	epidemiological	epidemiological	ADJ
cord-010719-90379pjd	212	15	(	(	PUNCT
cord-010719-90379pjd	212	16	"	"	PUNCT
cord-010719-90379pjd	212	17	medical	medical	ADJ
cord-010719-90379pjd	212	18	"	"	PUNCT
cord-010719-90379pjd	212	19	)	)	PUNCT
cord-010719-90379pjd	212	20	models	model	NOUN
cord-010719-90379pjd	212	21	but	but	CCONJ
cord-010719-90379pjd	212	22	also	also	ADV
cord-010719-90379pjd	212	23	can	can	AUX
cord-010719-90379pjd	212	24	be	be	AUX
cord-010719-90379pjd	212	25	extended	extend	VERB
cord-010719-90379pjd	212	26	for	for	ADP
cord-010719-90379pjd	212	27	analogous	analogous	ADJ
cord-010719-90379pjd	212	28	epidemic	epidemic	NOUN
cord-010719-90379pjd	212	29	spreading	spread	VERB
cord-010719-90379pjd	212	30	of	of	ADP
cord-010719-90379pjd	212	31	rumors	rumor	NOUN
cord-010719-90379pjd	212	32	,	,	PUNCT
cord-010719-90379pjd	212	33	gossip	gossip	NOUN
cord-010719-90379pjd	212	34	,	,	PUNCT
cord-010719-90379pjd	212	35	opinions	opinion	NOUN
cord-010719-90379pjd	212	36	,	,	PUNCT
cord-010719-90379pjd	212	37	religions	religion	NOUN
cord-010719-90379pjd	212	38	,	,	PUNCT
cord-010719-90379pjd	212	39	and	and	CCONJ
cord-010719-90379pjd	212	40	other	other	ADJ
cord-010719-90379pjd	212	41	topics	topic	NOUN
cord-010719-90379pjd	212	42	pertinent	pertinent	ADJ
cord-010719-90379pjd	212	43	to	to	ADP
cord-010719-90379pjd	212	44	epidemics	epidemic	NOUN
cord-010719-90379pjd	212	45	on	on	ADP
cord-010719-90379pjd	212	46	many	many	ADJ
cord-010719-90379pjd	212	47	social	social	ADJ
cord-010719-90379pjd	212	48	networks	network	NOUN
cord-010719-90379pjd	212	49	.	.	PUNCT
cord-010719-90379pjd	213	1	knowledge	knowledge	NOUN
cord-010719-90379pjd	213	2	epidemics	epidemic	NOUN
cord-010719-90379pjd	213	3	and	and	CCONJ
cord-010719-90379pjd	213	4	population	population	NOUN
cord-010719-90379pjd	213	5	dynamics	dynamic	NOUN
cord-010719-90379pjd	213	6	models	model	NOUN
cord-010719-90379pjd	213	7	for	for	ADP
cord-010719-90379pjd	213	8	describing	describe	VERB
cord-010719-90379pjd	213	9	idea	idea	NOUN
cord-010719-90379pjd	213	10	diffusion	diffusion	NOUN
cord-010719-90379pjd	213	11	,	,	PUNCT
cord-010719-90379pjd	213	12	models	model	NOUN
cord-010719-90379pjd	213	13	of	of	ADP
cord-010719-90379pjd	213	14	science	science	NOUN
cord-010719-90379pjd	213	15	dynamics	dynamic	NOUN
cord-010719-90379pjd	213	16	:	:	PUNCT
cord-010719-90379pjd	213	17	encounters	encounter	NOUN
cord-010719-90379pjd	213	18	between	between	ADP
cord-010719-90379pjd	213	19	complexity	complexity	NOUN
cord-010719-90379pjd	213	20	theory	theory	NOUN
cord-010719-90379pjd	213	21	and	and	CCONJ
cord-010719-90379pjd	213	22	information	information	NOUN
cord-010719-90379pjd	213	23	sciences	science	NOUN
cord-010719-90379pjd	213	24	introduction	introduction	NOUN
cord-010719-90379pjd	213	25	to	to	PART
cord-010719-90379pjd	213	26	percolation	percolation	VERB
cord-010719-90379pjd	213	27	theory	theory	NOUN
cord-010719-90379pjd	213	28	the	the	DET
cord-010719-90379pjd	213	29	logistic	logistic	ADJ
cord-010719-90379pjd	213	30	map	map	NOUN
cord-010719-90379pjd	213	31	and	and	CCONJ
cord-010719-90379pjd	213	32	the	the	DET
cord-010719-90379pjd	213	33	route	route	NOUN
cord-010719-90379pjd	213	34	to	to	PART
cord-010719-90379pjd	213	35	chaos	chaos	VERB
cord-010719-90379pjd	213	36	:	:	PUNCT
cord-010719-90379pjd	213	37	from	from	ADP
cord-010719-90379pjd	213	38	the	the	DET
cord-010719-90379pjd	213	39	beginning	beginning	NOUN
cord-010719-90379pjd	213	40	to	to	ADP
cord-010719-90379pjd	213	41	modern	modern	ADJ
cord-010719-90379pjd	213	42	applications	application	NOUN
cord-010719-90379pjd	213	43	a	a	DET
cord-010719-90379pjd	213	44	mixed	mixed	ADJ
cord-010719-90379pjd	213	45	abstraction	abstraction	NOUN
cord-010719-90379pjd	213	46	level	level	NOUN
cord-010719-90379pjd	213	47	simulation	simulation	NOUN
cord-010719-90379pjd	213	48	model	model	NOUN
cord-010719-90379pjd	213	49	of	of	ADP
cord-010719-90379pjd	213	50	large	large	ADJ
cord-010719-90379pjd	213	51	-	-	PUNCT
cord-010719-90379pjd	213	52	scale	scale	NOUN
cord-010719-90379pjd	213	53	internet	internet	NOUN
cord-010719-90379pjd	213	54	worm	worm	NOUN
cord-010719-90379pjd	213	55	infestations	infestation	NOUN
cord-010719-90379pjd	213	56	measurement	measurement	NOUN
cord-010719-90379pjd	213	57	and	and	CCONJ
cord-010719-90379pjd	213	58	analysis	analysis	NOUN
cord-010719-90379pjd	213	59	of	of	ADP
cord-010719-90379pjd	213	60	worm	worm	NOUN
cord-010719-90379pjd	213	61	propagation	propagation	NOUN
cord-010719-90379pjd	213	62	on	on	ADP
cord-010719-90379pjd	213	63	internet	internet	NOUN
cord-010719-90379pjd	213	64	network	network	NOUN
cord-010719-90379pjd	213	65	topology	topology	NOUN
cord-010719-90379pjd	213	66	,	,	PUNCT
cord-010719-90379pjd	213	67	proceedings	proceeding	NOUN
cord-010719-90379pjd	213	68	of	of	ADP
cord-010719-90379pjd	213	69	the	the	DET
cord-010719-90379pjd	213	70	13th	13th	ADJ
cord-010719-90379pjd	213	71	international	international	ADJ
cord-010719-90379pjd	213	72	conference	conference	NOUN
cord-010719-90379pjd	213	73	on	on	ADP
cord-010719-90379pjd	213	74	computer	computer	NOUN
cord-010719-90379pjd	213	75	communications	communication	NOUN
cord-010719-90379pjd	213	76	and	and	CCONJ
cord-010719-90379pjd	213	77	networks	network	NOUN
cord-010719-90379pjd	213	78	(	(	PUNCT
cord-010719-90379pjd	213	79	icccn	icccn	ADJ
cord-010719-90379pjd	213	80	,	,	PUNCT
cord-010719-90379pjd	213	81	2004	2004	NUM
cord-010719-90379pjd	213	82	)	)	PUNCT
cord-010719-90379pjd	213	83	(	(	PUNCT
cord-010719-90379pjd	213	84	unpublished	unpublished	ADJ
cord-010719-90379pjd	213	85	)	)	PUNCT
cord-010719-90379pjd	213	86	climate	climate	NOUN
cord-010719-90379pjd	213	87	change	change	NOUN
cord-010719-90379pjd	213	88	and	and	CCONJ
cord-010719-90379pjd	213	89	crop	crop	NOUN
cord-010719-90379pjd	213	90	production	production	NOUN
cord-010719-90379pjd	213	91	,	,	PUNCT
cord-010719-90379pjd	213	92	cabi	cabi	NOUN
cord-010719-90379pjd	213	93	climate	climate	NOUN
cord-010719-90379pjd	213	94	change	change	NOUN
cord-010719-90379pjd	213	95	series	series	PROPN
cord-010719-90379pjd	213	96	fractional	fractional	ADJ
cord-010719-90379pjd	213	97	calculus	calculus	NOUN
cord-010719-90379pjd	213	98	:	:	PUNCT
cord-010719-90379pjd	213	99	an	an	DET
cord-010719-90379pjd	213	100	introduction	introduction	NOUN
cord-010719-90379pjd	213	101	for	for	ADP
cord-010719-90379pjd	213	102	physicists	physicist	NOUN
cord-010719-90379pjd	213	103	applications	application	NOUN
cord-010719-90379pjd	213	104	of	of	ADP
cord-010719-90379pjd	213	105	fractional	fractional	ADJ
cord-010719-90379pjd	213	106	calculus	calculus	NOUN
cord-010719-90379pjd	213	107	in	in	ADP
cord-010719-90379pjd	213	108	physics	physics	NOUN
cord-010719-90379pjd	213	109	fractional	fractional	ADJ
cord-010719-90379pjd	213	110	differential	differential	ADJ
cord-010719-90379pjd	213	111	equations	equation	NOUN
cord-010719-90379pjd	213	112	theory	theory	NOUN
cord-010719-90379pjd	213	113	and	and	CCONJ
cord-010719-90379pjd	213	114	applications	application	NOUN
cord-010719-90379pjd	213	115	of	of	ADP
cord-010719-90379pjd	213	116	fractional	fractional	ADJ
cord-010719-90379pjd	213	117	differential	differential	ADJ
cord-010719-90379pjd	213	118	equations	equation	NOUN
cord-010719-90379pjd	213	119	,	,	PUNCT
cord-010719-90379pjd	213	120	north	north	PROPN
cord-010719-90379pjd	213	121	-	-	PUNCT
cord-010719-90379pjd	213	122	holland	holland	PROPN
cord-010719-90379pjd	213	123	mathematics	mathematics	PROPN
cord-010719-90379pjd	213	124	studies	study	VERB
cord-010719-90379pjd	213	125	the	the	DET
cord-010719-90379pjd	213	126	fracpece	fracpece	PROPN
cord-010719-90379pjd	213	127	subroutine	subroutine	NOUN
cord-010719-90379pjd	213	128	for	for	ADP
cord-010719-90379pjd	213	129	the	the	DET
cord-010719-90379pjd	213	130	numerical	numerical	ADJ
cord-010719-90379pjd	213	131	solution	solution	NOUN
cord-010719-90379pjd	213	132	of	of	ADP
cord-010719-90379pjd	213	133	differential	differential	ADJ
cord-010719-90379pjd	213	134	equations	equation	NOUN
cord-010719-90379pjd	213	135	of	of	ADP
cord-010719-90379pjd	213	136	fractional	fractional	ADJ
cord-010719-90379pjd	213	137	order	order	NOUN
cord-010719-90379pjd	213	138	,	,	PUNCT
cord-010719-90379pjd	213	139	forschung	forschung	PROPN
cord-010719-90379pjd	213	140	und	und	PROPN
cord-010719-90379pjd	213	141	wissenschaftliches	wissenschaftliche	NOUN
cord-010719-90379pjd	213	142	rechnen	rechnen	VERB
cord-010719-90379pjd	213	143	changing	change	VERB
cord-010719-90379pjd	213	144	waves	wave	NOUN
cord-010719-90379pjd	213	145	:	:	PUNCT
cord-010719-90379pjd	213	146	the	the	DET
cord-010719-90379pjd	213	147	epidemics	epidemic	NOUN
cord-010719-90379pjd	213	148	of	of	ADP
cord-010719-90379pjd	213	149	1832	1832	NUM
cord-010719-90379pjd	213	150	and	and	CCONJ
cord-010719-90379pjd	213	151	1854	1854	NUM
cord-010719-90379pjd	213	152	proc	proc	NOUN
cord-010719-90379pjd	213	153	.	.	PUNCT
cord-010719-90379pjd	214	1	natl	natl	PROPN
cord-010719-90379pjd	214	2	.	.	PUNCT
cord-010719-90379pjd	215	1	acad	acad	PROPN
cord-010719-90379pjd	215	2	.	.	PUNCT
cord-010719-90379pjd	216	1	sci	sci	PROPN
cord-010719-90379pjd	216	2	.	.	PROPN
cord-010719-90379pjd	216	3	usa	usa	PROPN
cord-010719-90379pjd	216	4	it	it	PRON
cord-010719-90379pjd	216	5	could	could	AUX
cord-010719-90379pjd	216	6	be	be	AUX
cord-010719-90379pjd	216	7	instructive	instructive	ADJ
cord-010719-90379pjd	216	8	to	to	PART
cord-010719-90379pjd	216	9	study	study	VERB
cord-010719-90379pjd	216	10	fractional	fractional	ADJ
cord-010719-90379pjd	216	11	order	order	NOUN
cord-010719-90379pjd	216	12	operators	operator	NOUN
cord-010719-90379pjd	216	13	within	within	ADP
cord-010719-90379pjd	216	14	a	a	DET
cord-010719-90379pjd	216	15	geometric	geometric	ADJ
cord-010719-90379pjd	216	16	interpretation	interpretation	NOUN
cord-010719-90379pjd	216	17	(	(	PUNCT
cord-010719-90379pjd	216	18	see	see	VERB
cord-010719-90379pjd	216	19	interesting	interesting	ADJ
cord-010719-90379pjd	216	20	references	reference	NOUN
cord-010719-90379pjd	216	21	in	in	ADP
cord-010719-90379pjd	216	22	[	[	X
cord-010719-90379pjd	216	23	53	53	NUM
cord-010719-90379pjd	216	24	]	]	PUNCT
cord-010719-90379pjd	216	25	)	)	PUNCT
cord-010719-90379pjd	216	26	.	.	PUNCT
cord-010719-90379pjd	217	1	here	here	ADV
cord-010719-90379pjd	217	2	we	we	PRON
cord-010719-90379pjd	217	3	compare	compare	VERB
cord-010719-90379pjd	217	4	the	the	DET
cord-010719-90379pjd	217	5	time	time	NOUN
cord-010719-90379pjd	217	6	scales	scale	NOUN
cord-010719-90379pjd	217	7	in	in	ADP
cord-010719-90379pjd	217	8	fractional	fractional	ADJ
cord-010719-90379pjd	217	9	-	-	PUNCT
cord-010719-90379pjd	217	10	and	and	CCONJ
cord-010719-90379pjd	217	11	integer	integer	NOUN
cord-010719-90379pjd	217	12	-	-	PUNCT
cord-010719-90379pjd	217	13	order	order	NOUN
cord-010719-90379pjd	217	14	dynamics	dynamic	NOUN
cord-010719-90379pjd	217	15	.	.	PUNCT
cord-010719-90379pjd	218	1	to	to	PART
cord-010719-90379pjd	218	2	image	image	VERB
cord-010719-90379pjd	218	3	a	a	DET
cord-010719-90379pjd	218	4	geometric	geometric	ADJ
cord-010719-90379pjd	218	5	interpretation	interpretation	NOUN
cord-010719-90379pjd	218	6	,	,	PUNCT
cord-010719-90379pjd	218	7	let	let	VERB
cord-010719-90379pjd	218	8	us	we	PRON
cord-010719-90379pjd	218	9	consider	consider	VERB
cord-010719-90379pjd	218	10	the	the	DET
cord-010719-90379pjd	218	11	right	right	ADV
cord-010719-90379pjd	218	12	-	-	PUNCT
cord-010719-90379pjd	218	13	sided	sided	ADJ
cord-010719-90379pjd	218	14	fractional	fractional	ADJ
cord-010719-90379pjd	218	15	integral	integral	NOUN
cord-010719-90379pjd	218	16	of	of	ADP
cord-010719-90379pjd	218	17	order	order	NOUN
cord-010719-90379pjd	218	18	α	α	PRON
cord-010719-90379pjd	218	19	,	,	PUNCT
cord-010719-90379pjd	218	20	and	and	CCONJ
cord-010719-90379pjd	218	21	write	write	VERB
cord-010719-90379pjd	218	22	it	it	PRON
cord-010719-90379pjd	218	23	in	in	ADP
cord-010719-90379pjd	218	24	the	the	DET
cord-010719-90379pjd	218	25	formwhereif	formwhereif	NOUN
cord-010719-90379pjd	218	26	we	we	PRON
cord-010719-90379pjd	218	27	compare	compare	VERB
cord-010719-90379pjd	218	28	eq	eq	PROPN
cord-010719-90379pjd	218	29	.	.	PUNCT
cord-010719-90379pjd	219	1	(	(	PUNCT
cord-010719-90379pjd	219	2	a2	a2	PROPN
cord-010719-90379pjd	219	3	)	)	PUNCT
cord-010719-90379pjd	219	4	with	with	ADP
cord-010719-90379pjd	219	5	its	its	PRON
cord-010719-90379pjd	219	6	counterpart	counterpart	NOUN
cord-010719-90379pjd	219	7	x	x	NOUN
cord-010719-90379pjd	219	8	α	α	PROPN
cord-010719-90379pjd	219	9	t	t	PROPN
cord-010719-90379pjd	219	10	=	=	SYM
cord-010719-90379pjd	219	11	t	t	NOUN
cord-010719-90379pjd	219	12	0	0	NUM
cord-010719-90379pjd	219	13	v(τ	v(τ	PROPN
cord-010719-90379pjd	219	14	)	)	PUNCT
cord-010719-90379pjd	219	15	dτ	dτ	PROPN
cord-010719-90379pjd	219	16	,	,	PUNCT
cord-010719-90379pjd	219	17	in	in	ADP
cord-010719-90379pjd	219	18	the	the	DET
cord-010719-90379pjd	219	19	homogeneous	homogeneous	ADJ
cord-010719-90379pjd	219	20	time	time	NOUN
cord-010719-90379pjd	219	21	scheme	scheme	NOUN
cord-010719-90379pjd	219	22	,	,	PUNCT
cord-010719-90379pjd	219	23	the	the	DET
cord-010719-90379pjd	219	24	main	main	ADJ
cord-010719-90379pjd	219	25	difference	difference	NOUN
cord-010719-90379pjd	219	26	is	be	AUX
cord-010719-90379pjd	219	27	related	relate	VERB
cord-010719-90379pjd	219	28	to	to	ADP
cord-010719-90379pjd	219	29	the	the	DET
cord-010719-90379pjd	219	30	different	different	ADJ
cord-010719-90379pjd	219	31	time	time	NOUN
cord-010719-90379pjd	219	32	variables	variable	VERB
cord-010719-90379pjd	219	33	t	t	PROPN
cord-010719-90379pjd	219	34	and	and	CCONJ
cord-010719-90379pjd	219	35	τ	τ	NOUN
cord-010719-90379pjd	219	36	.	.	PUNCT
cord-010719-90379pjd	220	1	notice	notice	VERB
cord-010719-90379pjd	220	2	that	that	DET
cord-010719-90379pjd	220	3	time	time	NOUN
cord-010719-90379pjd	220	4	variable	variable	ADJ
cord-010719-90379pjd	220	5	t	t	PROPN
cord-010719-90379pjd	220	6	t	t	NOUN
cord-010719-90379pjd	220	7	(	(	PUNCT
cord-010719-90379pjd	220	8	τ	τ	PROPN
cord-010719-90379pjd	220	9	)	)	PUNCT
cord-010719-90379pjd	220	10	has	have	VERB
cord-010719-90379pjd	220	11	a	a	DET
cord-010719-90379pjd	220	12	scaling	scale	VERB
cord-010719-90379pjd	220	13	property	property	NOUN
cord-010719-90379pjd	220	14	.	.	PUNCT
cord-010719-90379pjd	221	1	if	if	SCONJ
cord-010719-90379pjd	221	2	we	we	PRON
cord-010719-90379pjd	221	3	take	take	VERB
cord-010719-90379pjd	221	4	t	t	NOUN
cord-010719-90379pjd	221	5	1	1	NUM
cord-010719-90379pjd	221	6	=	=	NOUN
cord-010719-90379pjd	221	7	kt	kt	NOUN
cord-010719-90379pjd	221	8	and	and	CCONJ
cord-010719-90379pjd	221	9	τ	τ	PROPN
cord-010719-90379pjd	221	10	1	1	NUM
cord-010719-90379pjd	221	11	=	=	NOUN
cord-010719-90379pjd	221	12	kτ	kτ	INTJ
cord-010719-90379pjd	221	13	,	,	PUNCT
cord-010719-90379pjd	221	14	then	then	ADV
cord-010719-90379pjd	221	15	t	t	PROPN
cord-010719-90379pjd	221	16	t	t	PROPN
cord-010719-90379pjd	221	17	1	1	NUM
cord-010719-90379pjd	221	18	(	(	PUNCT
cord-010719-90379pjd	221	19	τ	τ	NOUN
cord-010719-90379pjd	221	20	1	1	NUM
cord-010719-90379pjd	221	21	)	)	PUNCT
cord-010719-90379pjd	222	1	=	=	NOUN
cord-010719-90379pjd	222	2	k	k	PROPN
cord-010719-90379pjd	222	3	α	α	PROPN
cord-010719-90379pjd	222	4	t	t	PROPN
cord-010719-90379pjd	222	5	t	t	PROPN
cord-010719-90379pjd	222	6	(	(	PUNCT
cord-010719-90379pjd	222	7	τ	τ	NOUN
cord-010719-90379pjd	222	8	)	)	PUNCT
cord-010719-90379pjd	222	9	.	.	PUNCT
cord-010719-90379pjd	223	1	hence	hence	ADV
cord-010719-90379pjd	223	2	,	,	PUNCT
cord-010719-90379pjd	223	3	in	in	ADP
cord-010719-90379pjd	223	4	the	the	DET
cord-010719-90379pjd	223	5	fractional	fractional	ADJ
cord-010719-90379pjd	223	6	order	order	NOUN
cord-010719-90379pjd	223	7	dynamics	dynamic	NOUN
cord-010719-90379pjd	223	8	,	,	PUNCT
cord-010719-90379pjd	223	9	the	the	DET
cord-010719-90379pjd	223	10	time	time	NOUN
cord-010719-90379pjd	223	11	is	be	AUX
cord-010719-90379pjd	223	12	"	"	PUNCT
cord-010719-90379pjd	223	13	accelerating	accelerate	VERB
cord-010719-90379pjd	223	14	"	"	PUNCT
cord-010719-90379pjd	223	15	in	in	ADP
cord-010719-90379pjd	223	16	the	the	DET
cord-010719-90379pjd	223	17	early	early	ADJ
cord-010719-90379pjd	223	18	time	time	NOUN
cord-010719-90379pjd	223	19	and	and	CCONJ
cord-010719-90379pjd	223	20	after	after	ADP
cord-010719-90379pjd	223	21	that	that	PRON
cord-010719-90379pjd	223	22	it	it	PRON
cord-010719-90379pjd	223	23	is	be	AUX
cord-010719-90379pjd	223	24	"	"	PUNCT
cord-010719-90379pjd	223	25	slowing	slow	VERB
cord-010719-90379pjd	223	26	down	down	ADP
cord-010719-90379pjd	223	27	,	,	PUNCT
cord-010719-90379pjd	223	28	"	"	PUNCT
cord-010719-90379pjd	223	29	as	as	SCONJ
cord-010719-90379pjd	223	30	sketched	sketch	VERB
cord-010719-90379pjd	223	31	in	in	ADP
cord-010719-90379pjd	223	32	fig	fig	PROPN
cord-010719-90379pjd	223	33	.	.	PUNCT
cord-010719-90379pjd	224	1	8	8	NUM
cord-010719-90379pjd	224	2	.in	.in	PUNCT
cord-010719-90379pjd	224	3	this	this	DET
cord-010719-90379pjd	224	4	case	case	NOUN
cord-010719-90379pjd	224	5	,	,	PUNCT
cord-010719-90379pjd	224	6	the	the	DET
cord-010719-90379pjd	224	7	"	"	PUNCT
cord-010719-90379pjd	224	8	passing	passing	ADJ
cord-010719-90379pjd	224	9	time	time	NOUN
cord-010719-90379pjd	224	10	"	"	PUNCT
cord-010719-90379pjd	224	11	in	in	ADP
cord-010719-90379pjd	224	12	the	the	DET
cord-010719-90379pjd	224	13	two	two	NUM
cord-010719-90379pjd	224	14	axes	axis	NOUN
cord-010719-90379pjd	224	15	of	of	ADP
cord-010719-90379pjd	224	16	time	time	NOUN
cord-010719-90379pjd	224	17	is	be	AUX
cord-010719-90379pjd	224	18	not	not	PART
cord-010719-90379pjd	224	19	the	the	DET
cord-010719-90379pjd	224	20	same	same	ADJ
cord-010719-90379pjd	224	21	.	.	PUNCT
cord-010719-90379pjd	225	1	for	for	ADP
cord-010719-90379pjd	225	2	this	this	DET
cord-010719-90379pjd	225	3	reason	reason	NOUN
cord-010719-90379pjd	225	4	,	,	PUNCT
cord-010719-90379pjd	225	5	in	in	ADP
cord-010719-90379pjd	225	6	epidemic	epidemic	NOUN
cord-010719-90379pjd	225	7	"	"	PUNCT
cord-010719-90379pjd	225	8	fractional	fractional	ADJ
cord-010719-90379pjd	225	9	"	"	PUNCT
cord-010719-90379pjd	225	10	dynamics	dynamic	NOUN
cord-010719-90379pjd	225	11	,	,	PUNCT
cord-010719-90379pjd	225	12	the	the	DET
cord-010719-90379pjd	225	13	epidemic	epidemic	NOUN
cord-010719-90379pjd	225	14	threshold	threshold	NOUN
cord-010719-90379pjd	225	15	is	be	AUX
cord-010719-90379pjd	225	16	shifted	shift	VERB
cord-010719-90379pjd	225	17	to	to	ADP
cord-010719-90379pjd	225	18	the	the	DET
cord-010719-90379pjd	225	19	higher	high	ADJ
cord-010719-90379pjd	225	20	values	value	NOUN
cord-010719-90379pjd	225	21	.	.	PUNCT
cord-010719-90379pjd	226	1	a	a	PRON
cord-010719-90379pjd	226	2	lower	low	ADJ
cord-010719-90379pjd	226	3	α	α	PROPN
cord-010719-90379pjd	226	4	indicates	indicate	VERB
cord-010719-90379pjd	226	5	a	a	DET
cord-010719-90379pjd	226	6	"	"	PUNCT
cord-010719-90379pjd	226	7	stronger	strong	ADJ
cord-010719-90379pjd	226	8	"	"	PUNCT
cord-010719-90379pjd	226	9	(	(	PUNCT
cord-010719-90379pjd	226	10	long	long	ADV
cord-010719-90379pjd	226	11	-	-	PUNCT
cord-010719-90379pjd	226	12	lasting	last	VERB
cord-010719-90379pjd	226	13	)	)	PUNCT
cord-010719-90379pjd	226	14	memory	memory	NOUN
cord-010719-90379pjd	226	15	and	and	CCONJ
cord-010719-90379pjd	226	16	a	a	DET
cord-010719-90379pjd	226	17	more	more	ADV
cord-010719-90379pjd	226	18	pronounced	pronounced	ADJ
cord-010719-90379pjd	226	19	shift	shift	NOUN
cord-010719-90379pjd	226	20	of	of	ADP
cord-010719-90379pjd	226	21	threshold	threshold	NOUN
cord-010719-90379pjd	226	22	point	point	NOUN
cord-010719-90379pjd	226	23	.	.	PUNCT
cord-010719-90379pjd	227	1	however	however	ADV
cord-010719-90379pjd	227	2	,	,	PUNCT
cord-010719-90379pjd	227	3	if	if	SCONJ
cord-010719-90379pjd	227	4	one	one	PRON
cord-010719-90379pjd	227	5	waits	wait	VERB
cord-010719-90379pjd	227	6	long	long	ADV
cord-010719-90379pjd	227	7	enough	enough	ADV
cord-010719-90379pjd	227	8	,	,	PUNCT
cord-010719-90379pjd	227	9	the	the	DET
cord-010719-90379pjd	227	10	same	same	ADJ
cord-010719-90379pjd	227	11	behavior	behavior	NOUN
cord-010719-90379pjd	227	12	will	will	AUX
cord-010719-90379pjd	227	13	be	be	AUX
cord-010719-90379pjd	227	14	observed	observe	VERB
cord-010719-90379pjd	227	15	in	in	ADP
cord-010719-90379pjd	227	16	both	both	PRON
cord-010719-90379pjd	227	17	fractional	fractional	ADJ
cord-010719-90379pjd	227	18	and	and	CCONJ
cord-010719-90379pjd	227	19	usual	usual	ADJ
cord-010719-90379pjd	227	20	homogeneous	homogeneous	ADJ
cord-010719-90379pjd	227	21	time	time	NOUN
cord-010719-90379pjd	227	22	.	.	PUNCT
cord-010719-90379pjd	228	1	in	in	ADP
cord-010719-90379pjd	228	2	fractional	fractional	ADJ
cord-010719-90379pjd	228	3	dynamics	dynamic	NOUN
cord-010719-90379pjd	228	4	,	,	PUNCT
cord-010719-90379pjd	228	5	after	after	ADP
cord-010719-90379pjd	228	6	a	a	DET
cord-010719-90379pjd	228	7	"	"	PUNCT
cord-010719-90379pjd	228	8	very	very	ADV
cord-010719-90379pjd	228	9	long	long	ADJ
cord-010719-90379pjd	228	10	"	"	PUNCT
cord-010719-90379pjd	228	11	time	time	NOUN
cord-010719-90379pjd	228	12	,	,	PUNCT
cord-010719-90379pjd	228	13	the	the	DET
cord-010719-90379pjd	228	14	threshold	threshold	NOUN
cord-010719-90379pjd	228	15	point	point	NOUN
cord-010719-90379pjd	228	16	coincides	coincide	VERB
cord-010719-90379pjd	228	17	with	with	ADP
cord-010719-90379pjd	228	18	the	the	DET
cord-010719-90379pjd	228	19	one	one	NOUN
cord-010719-90379pjd	228	20	appearing	appear	VERB
cord-010719-90379pjd	228	21	in	in	ADP
cord-010719-90379pjd	228	22	integer	integer	NOUN
cord-010719-90379pjd	228	23	-	-	PUNCT
cord-010719-90379pjd	228	24	order	order	NOUN
cord-010719-90379pjd	228	25	dynamics	dynamic	NOUN
cord-010719-90379pjd	228	26	.	.	PUNCT
