id	sid	tid	token	lemma	pos
cord-314725-og0ybfzf	1	1	key	key	ADJ
cord-314725-og0ybfzf	1	2	:	:	PUNCT
cord-314725-og0ybfzf	1	3	cord-314725	cord-314725	ADJ
cord-314725-og0ybfzf	1	4	-	-	PUNCT
cord-314725-og0ybfzf	1	5	og0ybfzf	og0ybfzf	NOUN
cord-314725-og0ybfzf	1	6	authors	author	NOUN
cord-314725-og0ybfzf	1	7	:	:	PUNCT
cord-314725-og0ybfzf	1	8	marinov	marinov	PROPN
cord-314725-og0ybfzf	1	9	,	,	PUNCT
cord-314725-og0ybfzf	1	10	tchavdar	tchavdar	PROPN
cord-314725-og0ybfzf	1	11	t.	t.	PROPN
cord-314725-og0ybfzf	1	12	;	;	PUNCT
cord-314725-og0ybfzf	1	13	marinova	marinova	PROPN
cord-314725-og0ybfzf	1	14	,	,	PUNCT
cord-314725-og0ybfzf	1	15	rossitza	rossitza	PROPN
cord-314725-og0ybfzf	1	16	s.	s.	PROPN
cord-314725-og0ybfzf	1	17	title	title	PROPN
cord-314725-og0ybfzf	1	18	:	:	PUNCT
cord-314725-og0ybfzf	1	19	dynamics	dynamic	NOUN
cord-314725-og0ybfzf	1	20	of	of	ADP
cord-314725-og0ybfzf	1	21	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	1	22	using	use	VERB
cord-314725-og0ybfzf	1	23	inverse	inverse	ADJ
cord-314725-og0ybfzf	1	24	problem	problem	NOUN
cord-314725-og0ybfzf	1	25	for	for	ADP
cord-314725-og0ybfzf	1	26	coefficient	coefficient	ADJ
cord-314725-og0ybfzf	1	27	identification	identification	NOUN
cord-314725-og0ybfzf	1	28	in	in	ADP
cord-314725-og0ybfzf	1	29	sir	sir	PROPN
cord-314725-og0ybfzf	1	30	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	1	31	models	model	NOUN
cord-314725-og0ybfzf	1	32	date	date	NOUN
cord-314725-og0ybfzf	1	33	:	:	PUNCT
cord-314725-og0ybfzf	1	34	2020	2020	NUM
cord-314725-og0ybfzf	1	35	-	-	SYM
cord-314725-og0ybfzf	1	36	07	07	NUM
cord-314725-og0ybfzf	1	37	-	-	SYM
cord-314725-og0ybfzf	1	38	15	15	NUM
cord-314725-og0ybfzf	1	39	journal	journal	NOUN
cord-314725-og0ybfzf	1	40	:	:	PUNCT
cord-314725-og0ybfzf	1	41	nan	nan	PROPN
cord-314725-og0ybfzf	1	42	doi	doi	PROPN
cord-314725-og0ybfzf	1	43	:	:	PUNCT
cord-314725-og0ybfzf	1	44	10.1016	10.1016	NUM
cord-314725-og0ybfzf	1	45	/	/	SYM
cord-314725-og0ybfzf	1	46	j.csfx.2020.100041	j.csfx.2020.100041	PROPN
cord-314725-og0ybfzf	1	47	sha	shall	AUX
cord-314725-og0ybfzf	1	48	:	:	PUNCT
cord-314725-og0ybfzf	2	1	doc_id	doc_id	X
cord-314725-og0ybfzf	2	2	:	:	PUNCT
cord-314725-og0ybfzf	2	3	314725	314725	NUM
cord-314725-og0ybfzf	2	4	cord_uid	cord_uid	PROPN
cord-314725-og0ybfzf	2	5	:	:	PUNCT
cord-314725-og0ybfzf	2	6	og0ybfzf	og0ybfzf	PROPN
cord-314725-og0ybfzf	2	7	abstract	abstract	ADJ
cord-314725-og0ybfzf	2	8	this	this	DET
cord-314725-og0ybfzf	2	9	work	work	NOUN
cord-314725-og0ybfzf	2	10	deals	deal	VERB
cord-314725-og0ybfzf	2	11	with	with	ADP
cord-314725-og0ybfzf	2	12	the	the	DET
cord-314725-og0ybfzf	2	13	inverse	inverse	ADJ
cord-314725-og0ybfzf	2	14	problem	problem	NOUN
cord-314725-og0ybfzf	2	15	in	in	ADP
cord-314725-og0ybfzf	2	16	epidemiology	epidemiology	NOUN
cord-314725-og0ybfzf	2	17	based	base	VERB
cord-314725-og0ybfzf	2	18	on	on	ADP
cord-314725-og0ybfzf	2	19	a	a	DET
cord-314725-og0ybfzf	2	20	sir	sir	NOUN
cord-314725-og0ybfzf	2	21	model	model	NOUN
cord-314725-og0ybfzf	2	22	with	with	ADP
cord-314725-og0ybfzf	2	23	time	time	NOUN
cord-314725-og0ybfzf	2	24	-	-	PUNCT
cord-314725-og0ybfzf	2	25	dependent	dependent	ADJ
cord-314725-og0ybfzf	2	26	infectivity	infectivity	NOUN
cord-314725-og0ybfzf	2	27	and	and	CCONJ
cord-314725-og0ybfzf	2	28	recovery	recovery	NOUN
cord-314725-og0ybfzf	2	29	rates	rate	NOUN
cord-314725-og0ybfzf	2	30	,	,	PUNCT
cord-314725-og0ybfzf	2	31	allowing	allow	VERB
cord-314725-og0ybfzf	2	32	for	for	ADP
cord-314725-og0ybfzf	2	33	a	a	DET
cord-314725-og0ybfzf	2	34	better	well	ADJ
cord-314725-og0ybfzf	2	35	prediction	prediction	NOUN
cord-314725-og0ybfzf	2	36	of	of	ADP
cord-314725-og0ybfzf	2	37	the	the	DET
cord-314725-og0ybfzf	2	38	long	long	ADJ
cord-314725-og0ybfzf	2	39	term	term	NOUN
cord-314725-og0ybfzf	2	40	evolution	evolution	NOUN
cord-314725-og0ybfzf	2	41	of	of	ADP
cord-314725-og0ybfzf	2	42	a	a	DET
cord-314725-og0ybfzf	2	43	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	2	44	.	.	PUNCT
cord-314725-og0ybfzf	3	1	the	the	DET
cord-314725-og0ybfzf	3	2	method	method	NOUN
cord-314725-og0ybfzf	3	3	is	be	AUX
cord-314725-og0ybfzf	3	4	used	use	VERB
cord-314725-og0ybfzf	3	5	for	for	ADP
cord-314725-og0ybfzf	3	6	investigating	investigate	VERB
cord-314725-og0ybfzf	3	7	the	the	DET
cord-314725-og0ybfzf	3	8	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	3	9	spread	spread	NOUN
cord-314725-og0ybfzf	3	10	by	by	ADP
cord-314725-og0ybfzf	3	11	first	first	ADV
cord-314725-og0ybfzf	3	12	solving	solve	VERB
cord-314725-og0ybfzf	3	13	an	an	DET
cord-314725-og0ybfzf	3	14	inverse	inverse	ADJ
cord-314725-og0ybfzf	3	15	problem	problem	NOUN
cord-314725-og0ybfzf	3	16	for	for	ADP
cord-314725-og0ybfzf	3	17	estimating	estimate	VERB
cord-314725-og0ybfzf	3	18	the	the	DET
cord-314725-og0ybfzf	3	19	infectivity	infectivity	NOUN
cord-314725-og0ybfzf	3	20	and	and	CCONJ
cord-314725-og0ybfzf	3	21	recovery	recovery	NOUN
cord-314725-og0ybfzf	3	22	rates	rate	NOUN
cord-314725-og0ybfzf	3	23	from	from	ADP
cord-314725-og0ybfzf	3	24	real	real	ADJ
cord-314725-og0ybfzf	3	25	data	datum	NOUN
cord-314725-og0ybfzf	3	26	.	.	PUNCT
cord-314725-og0ybfzf	4	1	then	then	ADV
cord-314725-og0ybfzf	4	2	,	,	PUNCT
cord-314725-og0ybfzf	4	3	the	the	DET
cord-314725-og0ybfzf	4	4	estimated	estimate	VERB
cord-314725-og0ybfzf	4	5	rates	rate	NOUN
cord-314725-og0ybfzf	4	6	are	be	AUX
cord-314725-og0ybfzf	4	7	used	use	VERB
cord-314725-og0ybfzf	4	8	to	to	PART
cord-314725-og0ybfzf	4	9	compute	compute	VERB
cord-314725-og0ybfzf	4	10	the	the	DET
cord-314725-og0ybfzf	4	11	evolution	evolution	NOUN
cord-314725-og0ybfzf	4	12	of	of	ADP
cord-314725-og0ybfzf	4	13	the	the	DET
cord-314725-og0ybfzf	4	14	disease	disease	NOUN
cord-314725-og0ybfzf	4	15	.	.	PUNCT
cord-314725-og0ybfzf	5	1	the	the	DET
cord-314725-og0ybfzf	5	2	time	time	NOUN
cord-314725-og0ybfzf	5	3	-	-	PUNCT
cord-314725-og0ybfzf	5	4	depended	depend	VERB
cord-314725-og0ybfzf	5	5	parameters	parameter	NOUN
cord-314725-og0ybfzf	5	6	are	be	AUX
cord-314725-og0ybfzf	5	7	estimated	estimate	VERB
cord-314725-og0ybfzf	5	8	for	for	ADP
cord-314725-og0ybfzf	5	9	the	the	DET
cord-314725-og0ybfzf	5	10	world	world	NOUN
cord-314725-og0ybfzf	5	11	and	and	CCONJ
cord-314725-og0ybfzf	5	12	several	several	ADJ
cord-314725-og0ybfzf	5	13	countries	country	NOUN
cord-314725-og0ybfzf	5	14	(	(	PUNCT
cord-314725-og0ybfzf	5	15	the	the	DET
cord-314725-og0ybfzf	5	16	united	united	PROPN
cord-314725-og0ybfzf	5	17	states	states	PROPN
cord-314725-og0ybfzf	5	18	of	of	ADP
cord-314725-og0ybfzf	5	19	america	america	PROPN
cord-314725-og0ybfzf	5	20	,	,	PUNCT
cord-314725-og0ybfzf	5	21	canada	canada	PROPN
cord-314725-og0ybfzf	5	22	,	,	PUNCT
cord-314725-og0ybfzf	5	23	italy	italy	PROPN
cord-314725-og0ybfzf	5	24	,	,	PUNCT
cord-314725-og0ybfzf	5	25	france	france	PROPN
cord-314725-og0ybfzf	5	26	,	,	PUNCT
cord-314725-og0ybfzf	5	27	germany	germany	PROPN
cord-314725-og0ybfzf	5	28	,	,	PUNCT
cord-314725-og0ybfzf	5	29	sweden	sweden	PROPN
cord-314725-og0ybfzf	5	30	,	,	PUNCT
cord-314725-og0ybfzf	5	31	russia	russia	PROPN
cord-314725-og0ybfzf	5	32	,	,	PUNCT
cord-314725-og0ybfzf	5	33	brazil	brazil	PROPN
cord-314725-og0ybfzf	5	34	,	,	PUNCT
cord-314725-og0ybfzf	5	35	bulgaria	bulgaria	PROPN
cord-314725-og0ybfzf	5	36	,	,	PUNCT
cord-314725-og0ybfzf	5	37	japan	japan	PROPN
cord-314725-og0ybfzf	5	38	,	,	PUNCT
cord-314725-og0ybfzf	5	39	south	south	PROPN
cord-314725-og0ybfzf	5	40	korea	korea	PROPN
cord-314725-og0ybfzf	5	41	,	,	PUNCT
cord-314725-og0ybfzf	5	42	new	new	PROPN
cord-314725-og0ybfzf	5	43	zealand	zealand	PROPN
cord-314725-og0ybfzf	5	44	)	)	PUNCT
cord-314725-og0ybfzf	5	45	and	and	CCONJ
cord-314725-og0ybfzf	5	46	used	use	VERB
cord-314725-og0ybfzf	5	47	for	for	ADP
cord-314725-og0ybfzf	5	48	investigating	investigate	VERB
cord-314725-og0ybfzf	5	49	the	the	DET
cord-314725-og0ybfzf	5	50	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	5	51	spread	spread	VERB
cord-314725-og0ybfzf	5	52	in	in	ADP
cord-314725-og0ybfzf	5	53	these	these	DET
cord-314725-og0ybfzf	5	54	countries	country	NOUN
cord-314725-og0ybfzf	5	55	.	.	PUNCT
cord-314725-og0ybfzf	6	1	the	the	DET
cord-314725-og0ybfzf	6	2	inverse	inverse	ADJ
cord-314725-og0ybfzf	6	3	problem	problem	NOUN
cord-314725-og0ybfzf	6	4	for	for	ADP
cord-314725-og0ybfzf	6	5	estimating	estimate	VERB
cord-314725-og0ybfzf	6	6	the	the	DET
cord-314725-og0ybfzf	6	7	time	time	NOUN
cord-314725-og0ybfzf	6	8	-	-	PUNCT
cord-314725-og0ybfzf	6	9	dependent	dependent	ADJ
cord-314725-og0ybfzf	6	10	transmission	transmission	NOUN
cord-314725-og0ybfzf	6	11	and	and	CCONJ
cord-314725-og0ybfzf	6	12	removal	removal	NOUN
cord-314725-og0ybfzf	6	13	rates	rate	NOUN
cord-314725-og0ybfzf	6	14	in	in	ADP
cord-314725-og0ybfzf	6	15	the	the	DET
cord-314725-og0ybfzf	6	16	sir	sir	PROPN
cord-314725-og0ybfzf	6	17	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	6	18	model	model	NOUN
cord-314725-og0ybfzf	6	19	is	be	AUX
cord-314725-og0ybfzf	6	20	derived	derive	VERB
cord-314725-og0ybfzf	6	21	and	and	CCONJ
cord-314725-og0ybfzf	6	22	solved	solve	VERB
cord-314725-og0ybfzf	6	23	.	.	PUNCT
cord-314725-og0ybfzf	7	1	the	the	DET
cord-314725-og0ybfzf	7	2	minimization	minimization	NOUN
cord-314725-og0ybfzf	7	3	problem	problem	NOUN
cord-314725-og0ybfzf	7	4	uses	use	VERB
cord-314725-og0ybfzf	7	5	the	the	DET
cord-314725-og0ybfzf	7	6	entire	entire	ADJ
cord-314725-og0ybfzf	7	7	dataset	dataset	NOUN
cord-314725-og0ybfzf	7	8	with	with	ADP
cord-314725-og0ybfzf	7	9	data	datum	NOUN
cord-314725-og0ybfzf	7	10	available	available	ADJ
cord-314725-og0ybfzf	7	11	on	on	ADP
cord-314725-og0ybfzf	7	12	june	june	PROPN
cord-314725-og0ybfzf	7	13	21	21	NUM
cord-314725-og0ybfzf	7	14	,	,	PUNCT
cord-314725-og0ybfzf	7	15	2020	2020	NUM
cord-314725-og0ybfzf	7	16	for	for	ADP
cord-314725-og0ybfzf	7	17	estimating	estimate	VERB
cord-314725-og0ybfzf	7	18	the	the	DET
cord-314725-og0ybfzf	7	19	non	non	ADJ
cord-314725-og0ybfzf	7	20	-	-	ADJ
cord-314725-og0ybfzf	7	21	constant	constant	ADJ
cord-314725-og0ybfzf	7	22	rates	rate	NOUN
cord-314725-og0ybfzf	7	23	.	.	PUNCT
cord-314725-og0ybfzf	8	1	the	the	DET
cord-314725-og0ybfzf	8	2	obtained	obtain	VERB
cord-314725-og0ybfzf	8	3	numerical	numerical	ADJ
cord-314725-og0ybfzf	8	4	results	result	NOUN
cord-314725-og0ybfzf	8	5	demonstrate	demonstrate	VERB
cord-314725-og0ybfzf	8	6	that	that	SCONJ
cord-314725-og0ybfzf	8	7	the	the	DET
cord-314725-og0ybfzf	8	8	transmission	transmission	NOUN
cord-314725-og0ybfzf	8	9	and	and	CCONJ
cord-314725-og0ybfzf	8	10	removal	removal	NOUN
cord-314725-og0ybfzf	8	11	rates	rate	NOUN
cord-314725-og0ybfzf	8	12	and	and	CCONJ
cord-314725-og0ybfzf	8	13	the	the	DET
cord-314725-og0ybfzf	8	14	unknown	unknown	ADJ
cord-314725-og0ybfzf	8	15	functions	function	NOUN
cord-314725-og0ybfzf	8	16	are	be	AUX
cord-314725-og0ybfzf	8	17	accurately	accurately	ADV
cord-314725-og0ybfzf	8	18	estimated	estimate	VERB
cord-314725-og0ybfzf	8	19	.	.	PUNCT
cord-314725-og0ybfzf	9	1	the	the	DET
cord-314725-og0ybfzf	9	2	numerically	numerically	ADV
cord-314725-og0ybfzf	9	3	computed	compute	VERB
cord-314725-og0ybfzf	9	4	rates	rate	NOUN
cord-314725-og0ybfzf	9	5	are	be	AUX
cord-314725-og0ybfzf	9	6	used	use	VERB
cord-314725-og0ybfzf	9	7	for	for	ADP
cord-314725-og0ybfzf	9	8	forecasting	forecast	VERB
cord-314725-og0ybfzf	9	9	the	the	DET
cord-314725-og0ybfzf	9	10	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	9	11	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	9	12	for	for	ADP
cord-314725-og0ybfzf	9	13	the	the	DET
cord-314725-og0ybfzf	9	14	world	world	NOUN
cord-314725-og0ybfzf	9	15	and	and	CCONJ
cord-314725-og0ybfzf	9	16	a	a	DET
cord-314725-og0ybfzf	9	17	number	number	NOUN
cord-314725-og0ybfzf	9	18	of	of	ADP
cord-314725-og0ybfzf	9	19	countries	country	NOUN
cord-314725-og0ybfzf	9	20	.	.	PUNCT
cord-314725-og0ybfzf	10	1	the	the	DET
cord-314725-og0ybfzf	10	2	results	result	NOUN
cord-314725-og0ybfzf	10	3	of	of	ADP
cord-314725-og0ybfzf	10	4	this	this	DET
cord-314725-og0ybfzf	10	5	research	research	NOUN
cord-314725-og0ybfzf	10	6	give	give	VERB
cord-314725-og0ybfzf	10	7	insight	insight	NOUN
cord-314725-og0ybfzf	10	8	of	of	ADP
cord-314725-og0ybfzf	10	9	the	the	DET
cord-314725-og0ybfzf	10	10	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	10	11	in	in	ADP
cord-314725-og0ybfzf	10	12	parts	part	NOUN
cord-314725-og0ybfzf	10	13	of	of	ADP
cord-314725-og0ybfzf	10	14	the	the	DET
cord-314725-og0ybfzf	10	15	world	world	NOUN
cord-314725-og0ybfzf	10	16	and	and	CCONJ
cord-314725-og0ybfzf	10	17	could	could	AUX
cord-314725-og0ybfzf	10	18	help	help	VERB
cord-314725-og0ybfzf	10	19	in	in	ADP
cord-314725-og0ybfzf	10	20	determining	determine	VERB
cord-314725-og0ybfzf	10	21	policy	policy	NOUN
cord-314725-og0ybfzf	10	22	.	.	PUNCT
cord-314725-og0ybfzf	11	1	the	the	DET
cord-314725-og0ybfzf	11	2	sir	sir	PROPN
cord-314725-og0ybfzf	11	3	model	model	NOUN
cord-314725-og0ybfzf	11	4	is	be	AUX
cord-314725-og0ybfzf	11	5	a	a	DET
cord-314725-og0ybfzf	11	6	good	good	ADJ
cord-314725-og0ybfzf	11	7	choice	choice	NOUN
cord-314725-og0ybfzf	11	8	for	for	ADP
cord-314725-og0ybfzf	11	9	the	the	DET
cord-314725-og0ybfzf	11	10	short	short	ADJ
cord-314725-og0ybfzf	11	11	period	period	NOUN
cord-314725-og0ybfzf	11	12	of	of	ADP
cord-314725-og0ybfzf	11	13	time	time	NOUN
cord-314725-og0ybfzf	11	14	of	of	ADP
cord-314725-og0ybfzf	11	15	this	this	DET
cord-314725-og0ybfzf	11	16	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	11	17	;	;	PUNCT
cord-314725-og0ybfzf	11	18	however	however	ADV
cord-314725-og0ybfzf	11	19	,	,	PUNCT
cord-314725-og0ybfzf	11	20	it	it	PRON
cord-314725-og0ybfzf	11	21	possesses	possess	VERB
cord-314725-og0ybfzf	11	22	known	know	VERB
cord-314725-og0ybfzf	11	23	limitations	limitation	NOUN
cord-314725-og0ybfzf	11	24	in	in	ADP
cord-314725-og0ybfzf	11	25	case	case	NOUN
cord-314725-og0ybfzf	11	26	of	of	ADP
cord-314725-og0ybfzf	11	27	a	a	DET
cord-314725-og0ybfzf	11	28	long	long	ADJ
cord-314725-og0ybfzf	11	29	term	term	NOUN
cord-314725-og0ybfzf	11	30	infectious	infectious	ADJ
cord-314725-og0ybfzf	11	31	disease	disease	NOUN
cord-314725-og0ybfzf	11	32	.	.	PUNCT
cord-314725-og0ybfzf	12	1	in	in	ADP
cord-314725-og0ybfzf	12	2	future	future	NOUN
cord-314725-og0ybfzf	12	3	,	,	PUNCT
cord-314725-og0ybfzf	12	4	we	we	PRON
cord-314725-og0ybfzf	12	5	plan	plan	VERB
cord-314725-og0ybfzf	12	6	to	to	PART
cord-314725-og0ybfzf	12	7	use	use	VERB
cord-314725-og0ybfzf	12	8	other	other	ADJ
cord-314725-og0ybfzf	12	9	models	model	NOUN
cord-314725-og0ybfzf	12	10	.	.	PUNCT
cord-314725-og0ybfzf	13	1	depending	depend	VERB
cord-314725-og0ybfzf	13	2	on	on	ADP
cord-314725-og0ybfzf	13	3	future	future	ADJ
cord-314725-og0ybfzf	13	4	developments	development	NOUN
cord-314725-og0ybfzf	13	5	of	of	ADP
cord-314725-og0ybfzf	13	6	the	the	DET
cord-314725-og0ybfzf	13	7	disease	disease	NOUN
cord-314725-og0ybfzf	13	8	,	,	PUNCT
cord-314725-og0ybfzf	13	9	we	we	PRON
cord-314725-og0ybfzf	13	10	may	may	AUX
cord-314725-og0ybfzf	13	11	consider	consider	VERB
cord-314725-og0ybfzf	13	12	models	model	NOUN
cord-314725-og0ybfzf	13	13	addressing	address	VERB
cord-314725-og0ybfzf	13	14	non	non	ADJ
cord-314725-og0ybfzf	13	15	-	-	ADJ
cord-314725-og0ybfzf	13	16	constant	constant	ADJ
cord-314725-og0ybfzf	13	17	population	population	NOUN
cord-314725-og0ybfzf	13	18	,	,	PUNCT
cord-314725-og0ybfzf	13	19	latency	latency	NOUN
cord-314725-og0ybfzf	13	20	,	,	PUNCT
cord-314725-og0ybfzf	13	21	reinfection	reinfection	NOUN
cord-314725-og0ybfzf	13	22	,	,	PUNCT
cord-314725-og0ybfzf	13	23	and	and	CCONJ
cord-314725-og0ybfzf	13	24	vaccine	vaccine	NOUN
cord-314725-og0ybfzf	13	25	.	.	PUNCT
cord-314725-og0ybfzf	14	1	the	the	DET
cord-314725-og0ybfzf	14	2	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	14	3	coronavirus	coronavirus	NOUN
cord-314725-og0ybfzf	14	4	appeared	appear	VERB
cord-314725-og0ybfzf	14	5	in	in	ADP
cord-314725-og0ybfzf	14	6	late	late	ADJ
cord-314725-og0ybfzf	14	7	2019	2019	NUM
cord-314725-og0ybfzf	14	8	and	and	CCONJ
cord-314725-og0ybfzf	14	9	quickly	quickly	ADV
cord-314725-og0ybfzf	14	10	spread	spread	VERB
cord-314725-og0ybfzf	14	11	across	across	ADP
cord-314725-og0ybfzf	14	12	many	many	ADJ
cord-314725-og0ybfzf	14	13	countries	country	NOUN
cord-314725-og0ybfzf	14	14	.	.	PUNCT
cord-314725-og0ybfzf	15	1	according	accord	VERB
cord-314725-og0ybfzf	15	2	to	to	ADP
cord-314725-og0ybfzf	15	3	[	[	X
cord-314725-og0ybfzf	15	4	14	14	NUM
cord-314725-og0ybfzf	15	5	]	]	PUNCT
cord-314725-og0ybfzf	15	6	and	and	CCONJ
cord-314725-og0ybfzf	15	7	[	[	X
cord-314725-og0ybfzf	15	8	40	40	NUM
cord-314725-og0ybfzf	15	9	]	]	PUNCT
cord-314725-og0ybfzf	15	10	,	,	PUNCT
cord-314725-og0ybfzf	15	11	by	by	ADP
cord-314725-og0ybfzf	15	12	june	june	PROPN
cord-314725-og0ybfzf	15	13	21	21	NUM
cord-314725-og0ybfzf	15	14	,	,	PUNCT
cord-314725-og0ybfzf	15	15	2020	2020	NUM
cord-314725-og0ybfzf	15	16	,	,	PUNCT
cord-314725-og0ybfzf	15	17	there	there	PRON
cord-314725-og0ybfzf	15	18	were	be	VERB
cord-314725-og0ybfzf	15	19	more	more	ADJ
cord-314725-og0ybfzf	15	20	than	than	ADP
cord-314725-og0ybfzf	15	21	9	9	NUM
cord-314725-og0ybfzf	15	22	million	million	NUM
cord-314725-og0ybfzf	15	23	confirmed	confirm	VERB
cord-314725-og0ybfzf	15	24	cases	case	NOUN
cord-314725-og0ybfzf	15	25	of	of	ADP
cord-314725-og0ybfzf	15	26	infected	infected	ADJ
cord-314725-og0ybfzf	15	27	people	people	NOUN
cord-314725-og0ybfzf	15	28	,	,	PUNCT
cord-314725-og0ybfzf	15	29	with	with	ADP
cord-314725-og0ybfzf	15	30	more	more	ADJ
cord-314725-og0ybfzf	15	31	than	than	ADP
cord-314725-og0ybfzf	15	32	470,000	470,000	NUM
cord-314725-og0ybfzf	15	33	reported	report	VERB
cord-314725-og0ybfzf	15	34	deaths	death	NOUN
cord-314725-og0ybfzf	15	35	globally	globally	ADV
cord-314725-og0ybfzf	15	36	.	.	PUNCT
cord-314725-og0ybfzf	16	1	governments	government	NOUN
cord-314725-og0ybfzf	16	2	closed	close	VERB
cord-314725-og0ybfzf	16	3	the	the	DET
cord-314725-og0ybfzf	16	4	so	so	ADV
cord-314725-og0ybfzf	16	5	-	-	PUNCT
cord-314725-og0ybfzf	16	6	called	call	VERB
cord-314725-og0ybfzf	16	7	non	non	ADJ
cord-314725-og0ybfzf	16	8	-	-	ADJ
cord-314725-og0ybfzf	16	9	essential	essential	ADJ
cord-314725-og0ybfzf	16	10	businesses	business	NOUN
cord-314725-og0ybfzf	16	11	and	and	CCONJ
cord-314725-og0ybfzf	16	12	services	service	NOUN
cord-314725-og0ybfzf	16	13	for	for	ADP
cord-314725-og0ybfzf	16	14	weeks	week	NOUN
cord-314725-og0ybfzf	16	15	in	in	ADP
cord-314725-og0ybfzf	16	16	order	order	NOUN
cord-314725-og0ybfzf	16	17	to	to	PART
cord-314725-og0ybfzf	16	18	slow	slow	VERB
cord-314725-og0ybfzf	16	19	down	down	ADP
cord-314725-og0ybfzf	16	20	the	the	DET
cord-314725-og0ybfzf	16	21	growth	growth	NOUN
cord-314725-og0ybfzf	16	22	of	of	ADP
cord-314725-og0ybfzf	16	23	infections	infection	NOUN
cord-314725-og0ybfzf	16	24	-especially	-especially	ADV
cord-314725-og0ybfzf	16	25	among	among	ADP
cord-314725-og0ybfzf	16	26	vulnerable	vulnerable	ADJ
cord-314725-og0ybfzf	16	27	populations	population	NOUN
cord-314725-og0ybfzf	16	28	-and	-and	PUNCT
cord-314725-og0ybfzf	16	29	thus	thus	ADV
cord-314725-og0ybfzf	16	30	,	,	PUNCT
cord-314725-og0ybfzf	16	31	save	save	VERB
cord-314725-og0ybfzf	16	32	lives	life	NOUN
cord-314725-og0ybfzf	16	33	.	.	PUNCT
cord-314725-og0ybfzf	17	1	numerous	numerous	ADJ
cord-314725-og0ybfzf	17	2	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	17	3	models	model	NOUN
cord-314725-og0ybfzf	17	4	are	be	AUX
cord-314725-og0ybfzf	17	5	developed	develop	VERB
cord-314725-og0ybfzf	17	6	to	to	PART
cord-314725-og0ybfzf	17	7	forecast	forecast	VERB
cord-314725-og0ybfzf	17	8	the	the	DET
cord-314725-og0ybfzf	17	9	future	future	NOUN
cord-314725-og0ybfzf	17	10	of	of	ADP
cord-314725-og0ybfzf	17	11	the	the	DET
cord-314725-og0ybfzf	17	12	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	17	13	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	17	14	spread	spread	VERB
cord-314725-og0ybfzf	17	15	worldwide	worldwide	ADV
cord-314725-og0ybfzf	17	16	.	.	PUNCT
cord-314725-og0ybfzf	18	1	they	they	PRON
cord-314725-og0ybfzf	18	2	are	be	AUX
cord-314725-og0ybfzf	18	3	used	use	VERB
cord-314725-og0ybfzf	18	4	to	to	PART
cord-314725-og0ybfzf	18	5	assist	assist	VERB
cord-314725-og0ybfzf	18	6	governments	government	NOUN
cord-314725-og0ybfzf	18	7	in	in	ADP
cord-314725-og0ybfzf	18	8	making	make	VERB
cord-314725-og0ybfzf	18	9	decisions	decision	NOUN
cord-314725-og0ybfzf	18	10	to	to	PART
cord-314725-og0ybfzf	18	11	cope	cope	VERB
cord-314725-og0ybfzf	18	12	with	with	ADP
cord-314725-og0ybfzf	18	13	the	the	DET
cord-314725-og0ybfzf	18	14	virus	virus	NOUN
cord-314725-og0ybfzf	18	15	and	and	CCONJ
cord-314725-og0ybfzf	18	16	its	its	PRON
cord-314725-og0ybfzf	18	17	consequences	consequence	NOUN
cord-314725-og0ybfzf	18	18	.	.	PUNCT
cord-314725-og0ybfzf	19	1	as	as	ADP
cord-314725-og0ybfzf	19	2	of	of	ADP
cord-314725-og0ybfzf	19	3	june	june	PROPN
cord-314725-og0ybfzf	19	4	2020	2020	NUM
cord-314725-og0ybfzf	19	5	,	,	PUNCT
cord-314725-og0ybfzf	19	6	there	there	PRON
cord-314725-og0ybfzf	19	7	are	be	VERB
cord-314725-og0ybfzf	19	8	no	no	DET
cord-314725-og0ybfzf	19	9	vaccines	vaccine	NOUN
cord-314725-og0ybfzf	19	10	for	for	ADP
cord-314725-og0ybfzf	19	11	this	this	DET
cord-314725-og0ybfzf	19	12	highly	highly	ADV
cord-314725-og0ybfzf	19	13	contagious	contagious	ADJ
cord-314725-og0ybfzf	19	14	disease	disease	NOUN
cord-314725-og0ybfzf	19	15	;	;	PUNCT
cord-314725-og0ybfzf	19	16	nor	nor	CCONJ
cord-314725-og0ybfzf	19	17	efficient	efficient	ADJ
cord-314725-og0ybfzf	19	18	antiviral	antiviral	ADJ
cord-314725-og0ybfzf	19	19	drugs	drug	NOUN
cord-314725-og0ybfzf	19	20	.	.	PUNCT
cord-314725-og0ybfzf	20	1	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	20	2	modeling	modeling	NOUN
cord-314725-og0ybfzf	20	3	and	and	CCONJ
cord-314725-og0ybfzf	20	4	forecasting	forecast	VERB
cord-314725-og0ybfzf	20	5	the	the	DET
cord-314725-og0ybfzf	20	6	spread	spread	NOUN
cord-314725-og0ybfzf	20	7	of	of	ADP
cord-314725-og0ybfzf	20	8	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	20	9	diseases	disease	NOUN
cord-314725-og0ybfzf	20	10	has	have	VERB
cord-314725-og0ybfzf	20	11	a	a	DET
cord-314725-og0ybfzf	20	12	long	long	ADJ
cord-314725-og0ybfzf	20	13	history	history	NOUN
cord-314725-og0ybfzf	20	14	,	,	PUNCT
cord-314725-og0ybfzf	20	15	see	see	VERB
cord-314725-og0ybfzf	20	16	[	[	X
cord-314725-og0ybfzf	20	17	3	3	NUM
cord-314725-og0ybfzf	20	18	]	]	PUNCT
cord-314725-og0ybfzf	20	19	,	,	PUNCT
cord-314725-og0ybfzf	20	20	[	[	X
cord-314725-og0ybfzf	20	21	5	5	NUM
cord-314725-og0ybfzf	20	22	]	]	PUNCT
cord-314725-og0ybfzf	20	23	,	,	PUNCT
cord-314725-og0ybfzf	20	24	[	[	X
cord-314725-og0ybfzf	20	25	10	10	NUM
cord-314725-og0ybfzf	20	26	]	]	PUNCT
cord-314725-og0ybfzf	20	27	,	,	PUNCT
cord-314725-og0ybfzf	20	28	and	and	CCONJ
cord-314725-og0ybfzf	20	29	[	[	X
cord-314725-og0ybfzf	20	30	31	31	NUM
cord-314725-og0ybfzf	20	31	]	]	PUNCT
cord-314725-og0ybfzf	20	32	.	.	PUNCT
cord-314725-og0ybfzf	21	1	the	the	DET
cord-314725-og0ybfzf	21	2	earliest	early	ADJ
cord-314725-og0ybfzf	21	3	published	publish	VERB
cord-314725-og0ybfzf	21	4	paper	paper	NOUN
cord-314725-og0ybfzf	21	5	on	on	ADP
cord-314725-og0ybfzf	21	6	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	21	7	modeling	modeling	NOUN
cord-314725-og0ybfzf	21	8	of	of	ADP
cord-314725-og0ybfzf	21	9	spread	spread	NOUN
cord-314725-og0ybfzf	21	10	of	of	ADP
cord-314725-og0ybfzf	21	11	disease	disease	NOUN
cord-314725-og0ybfzf	21	12	was	be	AUX
cord-314725-og0ybfzf	21	13	carried	carry	VERB
cord-314725-og0ybfzf	21	14	out	out	ADP
cord-314725-og0ybfzf	21	15	in	in	ADP
cord-314725-og0ybfzf	21	16	1766	1766	NUM
cord-314725-og0ybfzf	21	17	by	by	ADP
cord-314725-og0ybfzf	21	18	daniel	daniel	PROPN
cord-314725-og0ybfzf	21	19	bernoulli	bernoulli	PROPN
cord-314725-og0ybfzf	21	20	.	.	PUNCT
cord-314725-og0ybfzf	22	1	trained	train	VERB
cord-314725-og0ybfzf	22	2	as	as	ADP
cord-314725-og0ybfzf	22	3	a	a	DET
cord-314725-og0ybfzf	22	4	physician	physician	NOUN
cord-314725-og0ybfzf	22	5	,	,	PUNCT
cord-314725-og0ybfzf	22	6	bernoulli	bernoulli	PROPN
cord-314725-og0ybfzf	22	7	created	create	VERB
cord-314725-og0ybfzf	22	8	a	a	DET
cord-314725-og0ybfzf	22	9	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	22	10	model	model	NOUN
cord-314725-og0ybfzf	22	11	to	to	PART
cord-314725-og0ybfzf	22	12	defend	defend	VERB
cord-314725-og0ybfzf	22	13	the	the	DET
cord-314725-og0ybfzf	22	14	practice	practice	NOUN
cord-314725-og0ybfzf	22	15	of	of	ADP
cord-314725-og0ybfzf	22	16	inoculating	inoculate	VERB
cord-314725-og0ybfzf	22	17	against	against	ADP
cord-314725-og0ybfzf	22	18	smallpox	smallpox	NOUN
cord-314725-og0ybfzf	22	19	[	[	PUNCT
cord-314725-og0ybfzf	22	20	15	15	NUM
cord-314725-og0ybfzf	22	21	]	]	PUNCT
cord-314725-og0ybfzf	22	22	.	.	PUNCT
cord-314725-og0ybfzf	23	1	infectious	infectious	ADJ
cord-314725-og0ybfzf	23	2	diseases	disease	NOUN
cord-314725-og0ybfzf	23	3	include	include	VERB
cord-314725-og0ybfzf	23	4	measles	measle	NOUN
cord-314725-og0ybfzf	23	5	,	,	PUNCT
cord-314725-og0ybfzf	23	6	malaria	malaria	NOUN
cord-314725-og0ybfzf	23	7	,	,	PUNCT
cord-314725-og0ybfzf	23	8	varicella	varicella	PROPN
cord-314725-og0ybfzf	23	9	,	,	PUNCT
cord-314725-og0ybfzf	23	10	hiv	hiv	PROPN
cord-314725-og0ybfzf	23	11	,	,	PUNCT
cord-314725-og0ybfzf	23	12	ebola	ebola	PROPN
cord-314725-og0ybfzf	23	13	,	,	PUNCT
cord-314725-og0ybfzf	23	14	and	and	CCONJ
cord-314725-og0ybfzf	23	15	sars	sar	NOUN
cord-314725-og0ybfzf	23	16	.	.	PUNCT
cord-314725-og0ybfzf	24	1	a	a	DET
cord-314725-og0ybfzf	24	2	systematic	systematic	ADJ
cord-314725-og0ybfzf	24	3	review	review	NOUN
cord-314725-og0ybfzf	24	4	of	of	ADP
cord-314725-og0ybfzf	24	5	the	the	DET
cord-314725-og0ybfzf	24	6	risk	risk	NOUN
cord-314725-og0ybfzf	24	7	of	of	ADP
cord-314725-og0ybfzf	24	8	death	death	NOUN
cord-314725-og0ybfzf	24	9	associated	associate	VERB
cord-314725-og0ybfzf	24	10	with	with	ADP
cord-314725-og0ybfzf	24	11	middle	middle	PROPN
cord-314725-og0ybfzf	24	12	east	east	PROPN
cord-314725-og0ybfzf	24	13	respiratory	respiratory	ADJ
cord-314725-og0ybfzf	24	14	syndrome	syndrome	NOUN
cord-314725-og0ybfzf	24	15	(	(	PUNCT
cord-314725-og0ybfzf	24	16	mers	mer	NOUN
cord-314725-og0ybfzf	24	17	)	)	PUNCT
cord-314725-og0ybfzf	24	18	as	as	ADV
cord-314725-og0ybfzf	24	19	well	well	ADV
cord-314725-og0ybfzf	24	20	as	as	ADP
cord-314725-og0ybfzf	24	21	risk	risk	NOUN
cord-314725-og0ybfzf	24	22	factors	factor	NOUN
cord-314725-og0ybfzf	24	23	for	for	ADP
cord-314725-og0ybfzf	24	24	associated	associated	ADJ
cord-314725-og0ybfzf	24	25	complications	complication	NOUN
cord-314725-og0ybfzf	24	26	is	be	AUX
cord-314725-og0ybfzf	24	27	given	give	VERB
cord-314725-og0ybfzf	24	28	in	in	ADP
cord-314725-og0ybfzf	24	29	[	[	SYM
cord-314725-og0ybfzf	24	30	27	27	NUM
cord-314725-og0ybfzf	24	31	]	]	PUNCT
cord-314725-og0ybfzf	24	32	.	.	PUNCT
cord-314725-og0ybfzf	25	1	an	an	DET
cord-314725-og0ybfzf	25	2	analysis	analysis	NOUN
cord-314725-og0ybfzf	25	3	and	and	CCONJ
cord-314725-og0ybfzf	25	4	forecast	forecast	NOUN
cord-314725-og0ybfzf	25	5	of	of	ADP
cord-314725-og0ybfzf	25	6	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	25	7	spreading	spread	VERB
cord-314725-og0ybfzf	25	8	in	in	ADP
cord-314725-og0ybfzf	25	9	china	china	PROPN
cord-314725-og0ybfzf	25	10	,	,	PUNCT
cord-314725-og0ybfzf	25	11	italy	italy	PROPN
cord-314725-og0ybfzf	25	12	and	and	CCONJ
cord-314725-og0ybfzf	25	13	france	france	PROPN
cord-314725-og0ybfzf	25	14	was	be	AUX
cord-314725-og0ybfzf	25	15	given	give	VERB
cord-314725-og0ybfzf	25	16	in	in	ADP
cord-314725-og0ybfzf	25	17	[	[	SYM
cord-314725-og0ybfzf	25	18	11	11	NUM
cord-314725-og0ybfzf	25	19	]	]	PUNCT
cord-314725-og0ybfzf	25	20	.	.	PUNCT
cord-314725-og0ybfzf	26	1	there	there	PRON
cord-314725-og0ybfzf	26	2	is	be	VERB
cord-314725-og0ybfzf	26	3	no	no	DET
cord-314725-og0ybfzf	26	4	vaccination	vaccination	NOUN
cord-314725-og0ybfzf	26	5	for	for	ADP
cord-314725-og0ybfzf	26	6	some	some	PRON
cord-314725-og0ybfzf	26	7	of	of	ADP
cord-314725-og0ybfzf	26	8	the	the	DET
cord-314725-og0ybfzf	26	9	infectious	infectious	ADJ
cord-314725-og0ybfzf	26	10	diseases	disease	NOUN
cord-314725-og0ybfzf	26	11	,	,	PUNCT
cord-314725-og0ybfzf	26	12	only	only	ADV
cord-314725-og0ybfzf	26	13	preventive	preventive	ADJ
cord-314725-og0ybfzf	26	14	practices	practice	NOUN
cord-314725-og0ybfzf	26	15	-see	-see	PUNCT
cord-314725-og0ybfzf	27	1	[	[	X
cord-314725-og0ybfzf	27	2	16	16	NUM
cord-314725-og0ybfzf	27	3	]	]	PUNCT
cord-314725-og0ybfzf	27	4	.	.	PUNCT
cord-314725-og0ybfzf	28	1	kermack	kermack	PROPN
cord-314725-og0ybfzf	28	2	and	and	CCONJ
cord-314725-og0ybfzf	28	3	mckendrick	mckendrick	PROPN
cord-314725-og0ybfzf	29	1	[	[	PUNCT
cord-314725-og0ybfzf	29	2	17	17	NUM
cord-314725-og0ybfzf	29	3	]	]	PUNCT
cord-314725-og0ybfzf	29	4	introduced	introduce	VERB
cord-314725-og0ybfzf	29	5	their	their	PRON
cord-314725-og0ybfzf	29	6	model	model	NOUN
cord-314725-og0ybfzf	29	7	in	in	ADP
cord-314725-og0ybfzf	29	8	1921	1921	NUM
cord-314725-og0ybfzf	29	9	.	.	PUNCT
cord-314725-og0ybfzf	30	1	their	their	PRON
cord-314725-og0ybfzf	30	2	theory	theory	NOUN
cord-314725-og0ybfzf	30	3	is	be	AUX
cord-314725-og0ybfzf	30	4	a	a	DET
cord-314725-og0ybfzf	30	5	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	30	6	hypothesis	hypothesis	NOUN
cord-314725-og0ybfzf	30	7	proposed	propose	VERB
cord-314725-og0ybfzf	30	8	to	to	PART
cord-314725-og0ybfzf	30	9	explain	explain	VERB
cord-314725-og0ybfzf	30	10	the	the	DET
cord-314725-og0ybfzf	30	11	rapid	rapid	ADJ
cord-314725-og0ybfzf	30	12	rise	rise	NOUN
cord-314725-og0ybfzf	30	13	and	and	CCONJ
cord-314725-og0ybfzf	30	14	fall	fall	VERB
cord-314725-og0ybfzf	30	15	in	in	ADP
cord-314725-og0ybfzf	30	16	the	the	DET
cord-314725-og0ybfzf	30	17	number	number	NOUN
cord-314725-og0ybfzf	30	18	of	of	ADP
cord-314725-og0ybfzf	30	19	infected	infected	ADJ
cord-314725-og0ybfzf	30	20	people	people	NOUN
cord-314725-og0ybfzf	30	21	with	with	ADP
cord-314725-og0ybfzf	30	22	a	a	DET
cord-314725-og0ybfzf	30	23	contagious	contagious	ADJ
cord-314725-og0ybfzf	30	24	illness	illness	NOUN
cord-314725-og0ybfzf	30	25	in	in	ADP
cord-314725-og0ybfzf	30	26	a	a	DET
cord-314725-og0ybfzf	30	27	closed	closed	ADJ
cord-314725-og0ybfzf	30	28	population	population	NOUN
cord-314725-og0ybfzf	30	29	over	over	ADP
cord-314725-og0ybfzf	30	30	time	time	NOUN
cord-314725-og0ybfzf	30	31	.	.	PUNCT
cord-314725-og0ybfzf	31	1	it	it	PRON
cord-314725-og0ybfzf	31	2	is	be	AUX
cord-314725-og0ybfzf	31	3	the	the	DET
cord-314725-og0ybfzf	31	4	origin	origin	NOUN
cord-314725-og0ybfzf	31	5	of	of	ADP
cord-314725-og0ybfzf	31	6	sir	sir	PROPN
cord-314725-og0ybfzf	31	7	(	(	PUNCT
cord-314725-og0ybfzf	31	8	susceptibles	susceptibles	PROPN
cord-314725-og0ybfzf	31	9	-	-	PUNCT
cord-314725-og0ybfzf	31	10	infected	infect	VERB
cord-314725-og0ybfzf	31	11	-	-	PUNCT
cord-314725-og0ybfzf	31	12	recovered	recover	VERB
cord-314725-og0ybfzf	31	13	)	)	PUNCT
cord-314725-og0ybfzf	31	14	type	type	NOUN
cord-314725-og0ybfzf	31	15	models	model	NOUN
cord-314725-og0ybfzf	31	16	.	.	PUNCT
cord-314725-og0ybfzf	32	1	this	this	DET
cord-314725-og0ybfzf	32	2	formalism	formalism	NOUN
cord-314725-og0ybfzf	32	3	is	be	AUX
cord-314725-og0ybfzf	32	4	the	the	DET
cord-314725-og0ybfzf	32	5	basis	basis	NOUN
cord-314725-og0ybfzf	32	6	of	of	ADP
cord-314725-og0ybfzf	32	7	all	all	DET
cord-314725-og0ybfzf	32	8	current	current	ADJ
cord-314725-og0ybfzf	32	9	modeling	modeling	NOUN
cord-314725-og0ybfzf	32	10	of	of	ADP
cord-314725-og0ybfzf	32	11	the	the	DET
cord-314725-og0ybfzf	32	12	dynamics	dynamic	NOUN
cord-314725-og0ybfzf	32	13	and	and	CCONJ
cord-314725-og0ybfzf	32	14	evolution	evolution	NOUN
cord-314725-og0ybfzf	32	15	of	of	ADP
cord-314725-og0ybfzf	32	16	infectious	infectious	ADJ
cord-314725-og0ybfzf	32	17	diseases	disease	NOUN
cord-314725-og0ybfzf	32	18	,	,	PUNCT
cord-314725-og0ybfzf	32	19	see	see	VERB
cord-314725-og0ybfzf	32	20	[	[	X
cord-314725-og0ybfzf	32	21	4	4	NUM
cord-314725-og0ybfzf	32	22	]	]	PUNCT
cord-314725-og0ybfzf	32	23	,	,	PUNCT
cord-314725-og0ybfzf	32	24	[	[	X
cord-314725-og0ybfzf	32	25	28	28	NUM
cord-314725-og0ybfzf	32	26	]	]	PUNCT
cord-314725-og0ybfzf	32	27	,	,	PUNCT
cord-314725-og0ybfzf	32	28	[	[	X
cord-314725-og0ybfzf	32	29	35	35	NUM
cord-314725-og0ybfzf	32	30	]	]	PUNCT
cord-314725-og0ybfzf	32	31	,	,	PUNCT
cord-314725-og0ybfzf	32	32	[	[	X
cord-314725-og0ybfzf	32	33	37	37	NUM
cord-314725-og0ybfzf	32	34	]	]	PUNCT
cord-314725-og0ybfzf	32	35	,	,	PUNCT
cord-314725-og0ybfzf	32	36	and	and	CCONJ
cord-314725-og0ybfzf	32	37	[	[	X
cord-314725-og0ybfzf	32	38	38	38	NUM
cord-314725-og0ybfzf	32	39	]	]	PUNCT
cord-314725-og0ybfzf	32	40	.	.	PUNCT
cord-314725-og0ybfzf	33	1	the	the	DET
cord-314725-og0ybfzf	33	2	models	model	NOUN
cord-314725-og0ybfzf	33	3	are	be	AUX
cord-314725-og0ybfzf	33	4	useful	useful	ADJ
cord-314725-og0ybfzf	33	5	in	in	ADP
cord-314725-og0ybfzf	33	6	understanding	understand	VERB
cord-314725-og0ybfzf	33	7	the	the	DET
cord-314725-og0ybfzf	33	8	basic	basic	ADJ
cord-314725-og0ybfzf	33	9	principles	principle	NOUN
cord-314725-og0ybfzf	33	10	of	of	ADP
cord-314725-og0ybfzf	33	11	the	the	DET
cord-314725-og0ybfzf	33	12	system	system	NOUN
cord-314725-og0ybfzf	33	13	,	,	PUNCT
cord-314725-og0ybfzf	33	14	even	even	ADV
cord-314725-og0ybfzf	33	15	in	in	ADP
cord-314725-og0ybfzf	33	16	choosing	choose	VERB
cord-314725-og0ybfzf	33	17	a	a	DET
cord-314725-og0ybfzf	33	18	proper	proper	ADJ
cord-314725-og0ybfzf	33	19	policy	policy	NOUN
cord-314725-og0ybfzf	33	20	of	of	ADP
cord-314725-og0ybfzf	33	21	infectious	infectious	ADJ
cord-314725-og0ybfzf	33	22	disease	disease	NOUN
cord-314725-og0ybfzf	33	23	control	control	NOUN
cord-314725-og0ybfzf	33	24	.	.	PUNCT
cord-314725-og0ybfzf	34	1	covid-19	covid-19	X
cord-314725-og0ybfzf	34	2	attracted	attract	VERB
cord-314725-og0ybfzf	34	3	attention	attention	NOUN
cord-314725-og0ybfzf	34	4	in	in	ADP
cord-314725-og0ybfzf	34	5	recent	recent	ADJ
cord-314725-og0ybfzf	34	6	publications	publication	NOUN
cord-314725-og0ybfzf	34	7	[	[	X
cord-314725-og0ybfzf	34	8	12	12	NUM
cord-314725-og0ybfzf	34	9	]	]	PUNCT
cord-314725-og0ybfzf	34	10	,	,	PUNCT
cord-314725-og0ybfzf	34	11	[	[	X
cord-314725-og0ybfzf	34	12	19	19	NUM
cord-314725-og0ybfzf	34	13	]	]	PUNCT
cord-314725-og0ybfzf	34	14	,	,	PUNCT
cord-314725-og0ybfzf	34	15	[	[	X
cord-314725-og0ybfzf	34	16	29	29	NUM
cord-314725-og0ybfzf	34	17	]	]	PUNCT
cord-314725-og0ybfzf	34	18	,	,	PUNCT
cord-314725-og0ybfzf	34	19	[	[	X
cord-314725-og0ybfzf	34	20	33	33	NUM
cord-314725-og0ybfzf	34	21	]	]	PUNCT
cord-314725-og0ybfzf	34	22	,	,	PUNCT
cord-314725-og0ybfzf	34	23	[	[	X
cord-314725-og0ybfzf	34	24	34	34	NUM
cord-314725-og0ybfzf	34	25	]	]	PUNCT
cord-314725-og0ybfzf	34	26	,	,	PUNCT
cord-314725-og0ybfzf	34	27	and	and	CCONJ
cord-314725-og0ybfzf	34	28	[	[	X
cord-314725-og0ybfzf	34	29	42	42	NUM
cord-314725-og0ybfzf	34	30	]	]	PUNCT
cord-314725-og0ybfzf	34	31	.	.	PUNCT
cord-314725-og0ybfzf	35	1	the	the	DET
cord-314725-og0ybfzf	35	2	dynamical	dynamical	ADJ
cord-314725-og0ybfzf	35	3	systems	system	NOUN
cord-314725-og0ybfzf	35	4	for	for	ADP
cord-314725-og0ybfzf	35	5	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	35	6	are	be	AUX
cord-314725-og0ybfzf	35	7	highly	highly	ADV
cord-314725-og0ybfzf	35	8	nonlinear	nonlinear	ADJ
cord-314725-og0ybfzf	35	9	-they	-they	NOUN
cord-314725-og0ybfzf	35	10	include	include	VERB
cord-314725-og0ybfzf	35	11	diverse	diverse	ADJ
cord-314725-og0ybfzf	35	12	characteristics	characteristic	NOUN
cord-314725-og0ybfzf	35	13	,	,	PUNCT
cord-314725-og0ybfzf	35	14	from	from	ADP
cord-314725-og0ybfzf	35	15	population	population	NOUN
cord-314725-og0ybfzf	35	16	specifics	specific	NOUN
cord-314725-og0ybfzf	35	17	to	to	ADP
cord-314725-og0ybfzf	35	18	the	the	DET
cord-314725-og0ybfzf	35	19	immune	immune	ADJ
cord-314725-og0ybfzf	35	20	system	system	NOUN
cord-314725-og0ybfzf	35	21	of	of	ADP
cord-314725-og0ybfzf	35	22	an	an	DET
cord-314725-og0ybfzf	35	23	individual	individual	NOUN
cord-314725-og0ybfzf	35	24	.	.	PUNCT
cord-314725-og0ybfzf	36	1	every	every	DET
cord-314725-og0ybfzf	36	2	new	new	ADJ
cord-314725-og0ybfzf	36	3	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	36	4	must	must	AUX
cord-314725-og0ybfzf	36	5	be	be	AUX
cord-314725-og0ybfzf	36	6	studied	study	VERB
cord-314725-og0ybfzf	36	7	and	and	CCONJ
cord-314725-og0ybfzf	36	8	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	36	9	models	model	NOUN
cord-314725-og0ybfzf	36	10	constructed	construct	VERB
cord-314725-og0ybfzf	36	11	to	to	PART
cord-314725-og0ybfzf	36	12	answer	answer	VERB
cord-314725-og0ybfzf	36	13	important	important	ADJ
cord-314725-og0ybfzf	36	14	questions	question	NOUN
cord-314725-og0ybfzf	36	15	on	on	ADP
cord-314725-og0ybfzf	36	16	handling	handle	VERB
cord-314725-og0ybfzf	36	17	the	the	DET
cord-314725-og0ybfzf	36	18	disease	disease	NOUN
cord-314725-og0ybfzf	36	19	.	.	PUNCT
cord-314725-og0ybfzf	37	1	the	the	DET
cord-314725-og0ybfzf	37	2	parameters	parameter	NOUN
cord-314725-og0ybfzf	37	3	in	in	ADP
cord-314725-og0ybfzf	37	4	the	the	DET
cord-314725-og0ybfzf	37	5	sir	sir	PROPN
cord-314725-og0ybfzf	37	6	model	model	NOUN
cord-314725-og0ybfzf	37	7	,	,	PUNCT
cord-314725-og0ybfzf	37	8	the	the	DET
cord-314725-og0ybfzf	37	9	rate	rate	NOUN
cord-314725-og0ybfzf	37	10	of	of	ADP
cord-314725-og0ybfzf	37	11	transmission	transmission	NOUN
cord-314725-og0ybfzf	37	12	a	a	NOUN
cord-314725-og0ybfzf	37	13	and	and	CCONJ
cord-314725-og0ybfzf	37	14	the	the	DET
cord-314725-og0ybfzf	37	15	rate	rate	NOUN
cord-314725-og0ybfzf	37	16	of	of	ADP
cord-314725-og0ybfzf	37	17	removal	removal	PROPN
cord-314725-og0ybfzf	37	18	b	b	PROPN
cord-314725-og0ybfzf	37	19	,	,	PUNCT
cord-314725-og0ybfzf	37	20	depend	depend	VERB
cord-314725-og0ybfzf	37	21	on	on	ADP
cord-314725-og0ybfzf	37	22	the	the	DET
cord-314725-og0ybfzf	37	23	evolution	evolution	NOUN
cord-314725-og0ybfzf	37	24	of	of	ADP
cord-314725-og0ybfzf	37	25	the	the	DET
cord-314725-og0ybfzf	37	26	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	37	27	disease	disease	NOUN
cord-314725-og0ybfzf	37	28	over	over	ADP
cord-314725-og0ybfzf	37	29	time	time	NOUN
cord-314725-og0ybfzf	37	30	,	,	PUNCT
cord-314725-og0ybfzf	37	31	see	see	VERB
cord-314725-og0ybfzf	37	32	[	[	X
cord-314725-og0ybfzf	37	33	1	1	NUM
cord-314725-og0ybfzf	37	34	]	]	PUNCT
cord-314725-og0ybfzf	37	35	.	.	PUNCT
cord-314725-og0ybfzf	38	1	complex	complex	ADJ
cord-314725-og0ybfzf	38	2	and	and	CCONJ
cord-314725-og0ybfzf	38	3	realistic	realistic	ADJ
cord-314725-og0ybfzf	38	4	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	38	5	models	model	NOUN
cord-314725-og0ybfzf	38	6	are	be	AUX
cord-314725-og0ybfzf	38	7	used	use	VERB
cord-314725-og0ybfzf	38	8	to	to	PART
cord-314725-og0ybfzf	38	9	assist	assist	VERB
cord-314725-og0ybfzf	38	10	policy	policy	NOUN
cord-314725-og0ybfzf	38	11	decision	decision	NOUN
cord-314725-og0ybfzf	38	12	making	making	NOUN
cord-314725-og0ybfzf	38	13	,	,	PUNCT
cord-314725-og0ybfzf	38	14	recent	recent	ADJ
cord-314725-og0ybfzf	38	15	relevant	relevant	ADJ
cord-314725-og0ybfzf	38	16	works	work	NOUN
cord-314725-og0ybfzf	38	17	include	include	VERB
cord-314725-og0ybfzf	38	18	[	[	X
cord-314725-og0ybfzf	38	19	13	13	NUM
cord-314725-og0ybfzf	38	20	]	]	PUNCT
cord-314725-og0ybfzf	38	21	.	.	PUNCT
cord-314725-og0ybfzf	39	1	this	this	DET
cord-314725-og0ybfzf	39	2	work	work	NOUN
cord-314725-og0ybfzf	39	3	aims	aim	VERB
cord-314725-og0ybfzf	39	4	to	to	PART
cord-314725-og0ybfzf	39	5	create	create	VERB
cord-314725-og0ybfzf	39	6	a	a	DET
cord-314725-og0ybfzf	39	7	method	method	NOUN
cord-314725-og0ybfzf	39	8	that	that	PRON
cord-314725-og0ybfzf	39	9	can	can	AUX
cord-314725-og0ybfzf	39	10	accurately	accurately	ADV
cord-314725-og0ybfzf	39	11	identify	identify	VERB
cord-314725-og0ybfzf	39	12	the	the	DET
cord-314725-og0ybfzf	39	13	time	time	NOUN
cord-314725-og0ybfzf	39	14	dependent	dependent	ADJ
cord-314725-og0ybfzf	39	15	parameters	parameter	NOUN
cord-314725-og0ybfzf	39	16	of	of	ADP
cord-314725-og0ybfzf	39	17	the	the	DET
cord-314725-og0ybfzf	39	18	sir	sir	PROPN
cord-314725-og0ybfzf	39	19	system	system	NOUN
cord-314725-og0ybfzf	39	20	using	use	VERB
cord-314725-og0ybfzf	39	21	real	real	ADJ
cord-314725-og0ybfzf	39	22	data	datum	NOUN
cord-314725-og0ybfzf	39	23	and	and	CCONJ
cord-314725-og0ybfzf	39	24	then	then	ADV
cord-314725-og0ybfzf	39	25	use	use	VERB
cord-314725-og0ybfzf	39	26	the	the	DET
cord-314725-og0ybfzf	39	27	computed	compute	VERB
cord-314725-og0ybfzf	39	28	parameter	parameter	NOUN
cord-314725-og0ybfzf	39	29	values	value	NOUN
cord-314725-og0ybfzf	39	30	to	to	PART
cord-314725-og0ybfzf	39	31	predict	predict	VERB
cord-314725-og0ybfzf	39	32	the	the	DET
cord-314725-og0ybfzf	39	33	spread	spread	NOUN
cord-314725-og0ybfzf	39	34	of	of	ADP
cord-314725-og0ybfzf	39	35	the	the	DET
cord-314725-og0ybfzf	39	36	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	39	37	.	.	PUNCT
cord-314725-og0ybfzf	40	1	if	if	SCONJ
cord-314725-og0ybfzf	40	2	some	some	DET
cord-314725-og0ybfzf	40	3	conditions	condition	NOUN
cord-314725-og0ybfzf	40	4	change	change	VERB
cord-314725-og0ybfzf	40	5	,	,	PUNCT
cord-314725-og0ybfzf	40	6	then	then	ADV
cord-314725-og0ybfzf	40	7	the	the	DET
cord-314725-og0ybfzf	40	8	projection	projection	NOUN
cord-314725-og0ybfzf	40	9	based	base	VERB
cord-314725-og0ybfzf	40	10	on	on	ADP
cord-314725-og0ybfzf	40	11	the	the	DET
cord-314725-og0ybfzf	40	12	"	"	PUNCT
cord-314725-og0ybfzf	40	13	old	old	ADJ
cord-314725-og0ybfzf	40	14	"	"	PUNCT
cord-314725-og0ybfzf	40	15	data	datum	NOUN
cord-314725-og0ybfzf	40	16	will	will	AUX
cord-314725-og0ybfzf	40	17	no	no	ADV
cord-314725-og0ybfzf	40	18	longer	long	ADV
cord-314725-og0ybfzf	40	19	be	be	AUX
cord-314725-og0ybfzf	40	20	accurate	accurate	ADJ
cord-314725-og0ybfzf	40	21	and	and	CCONJ
cord-314725-og0ybfzf	40	22	will	will	AUX
cord-314725-og0ybfzf	40	23	require	require	VERB
cord-314725-og0ybfzf	40	24	adjustment	adjustment	NOUN
cord-314725-og0ybfzf	40	25	.	.	PUNCT
cord-314725-og0ybfzf	41	1	the	the	DET
cord-314725-og0ybfzf	41	2	parameter	parameter	NOUN
cord-314725-og0ybfzf	41	3	estimation	estimation	NOUN
cord-314725-og0ybfzf	41	4	is	be	AUX
cord-314725-og0ybfzf	41	5	referred	refer	VERB
cord-314725-og0ybfzf	41	6	to	to	ADP
cord-314725-og0ybfzf	41	7	as	as	ADP
cord-314725-og0ybfzf	41	8	the	the	DET
cord-314725-og0ybfzf	41	9	inverse	inverse	ADJ
cord-314725-og0ybfzf	41	10	modeling	modeling	NOUN
cord-314725-og0ybfzf	41	11	problem	problem	NOUN
cord-314725-og0ybfzf	41	12	.	.	PUNCT
cord-314725-og0ybfzf	42	1	it	it	PRON
cord-314725-og0ybfzf	42	2	means	mean	VERB
cord-314725-og0ybfzf	42	3	adjusting	adjust	VERB
cord-314725-og0ybfzf	42	4	the	the	DET
cord-314725-og0ybfzf	42	5	parameters	parameter	NOUN
cord-314725-og0ybfzf	42	6	of	of	ADP
cord-314725-og0ybfzf	42	7	a	a	DET
cord-314725-og0ybfzf	42	8	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	42	9	model	model	NOUN
cord-314725-og0ybfzf	42	10	to	to	PART
cord-314725-og0ybfzf	42	11	reproduce	reproduce	VERB
cord-314725-og0ybfzf	42	12	measured	measure	VERB
cord-314725-og0ybfzf	42	13	data	datum	NOUN
cord-314725-og0ybfzf	42	14	.	.	PUNCT
cord-314725-og0ybfzf	43	1	model	model	NOUN
cord-314725-og0ybfzf	43	2	deficiencies	deficiency	NOUN
cord-314725-og0ybfzf	43	3	are	be	AUX
cord-314725-og0ybfzf	43	4	usually	usually	ADV
cord-314725-og0ybfzf	43	5	due	due	ADJ
cord-314725-og0ybfzf	43	6	to	to	ADP
cord-314725-og0ybfzf	43	7	inaccurate	inaccurate	ADJ
cord-314725-og0ybfzf	43	8	parameters	parameter	NOUN
cord-314725-og0ybfzf	43	9	and	and	CCONJ
cord-314725-og0ybfzf	43	10	must	must	AUX
cord-314725-og0ybfzf	43	11	always	always	ADV
cord-314725-og0ybfzf	43	12	be	be	AUX
cord-314725-og0ybfzf	43	13	addressed	address	VERB
cord-314725-og0ybfzf	43	14	.	.	PUNCT
cord-314725-og0ybfzf	44	1	the	the	DET
cord-314725-og0ybfzf	44	2	inverse	inverse	ADJ
cord-314725-og0ybfzf	44	3	problem	problem	NOUN
cord-314725-og0ybfzf	44	4	is	be	AUX
cord-314725-og0ybfzf	44	5	crucial	crucial	ADJ
cord-314725-og0ybfzf	44	6	for	for	ADP
cord-314725-og0ybfzf	44	7	calibrating	calibrate	VERB
cord-314725-og0ybfzf	44	8	the	the	DET
cord-314725-og0ybfzf	44	9	model	model	NOUN
cord-314725-og0ybfzf	44	10	and	and	CCONJ
cord-314725-og0ybfzf	44	11	for	for	ADP
cord-314725-og0ybfzf	44	12	controlling	control	VERB
cord-314725-og0ybfzf	44	13	the	the	DET
cord-314725-og0ybfzf	44	14	model	model	NOUN
cord-314725-og0ybfzf	44	15	parameters	parameter	NOUN
cord-314725-og0ybfzf	44	16	.	.	PUNCT
cord-314725-og0ybfzf	45	1	approaches	approach	NOUN
cord-314725-og0ybfzf	45	2	involving	involve	VERB
cord-314725-og0ybfzf	45	3	inverse	inverse	ADJ
cord-314725-og0ybfzf	45	4	problems	problem	NOUN
cord-314725-og0ybfzf	45	5	can	can	AUX
cord-314725-og0ybfzf	45	6	be	be	AUX
cord-314725-og0ybfzf	45	7	successfully	successfully	ADV
cord-314725-og0ybfzf	45	8	applied	apply	VERB
cord-314725-og0ybfzf	45	9	to	to	ADP
cord-314725-og0ybfzf	45	10	a	a	DET
cord-314725-og0ybfzf	45	11	variety	variety	NOUN
cord-314725-og0ybfzf	45	12	of	of	ADP
cord-314725-og0ybfzf	45	13	important	important	ADJ
cord-314725-og0ybfzf	45	14	processes	process	NOUN
cord-314725-og0ybfzf	45	15	,	,	PUNCT
cord-314725-og0ybfzf	45	16	including	include	VERB
cord-314725-og0ybfzf	45	17	the	the	DET
cord-314725-og0ybfzf	45	18	spread	spread	NOUN
cord-314725-og0ybfzf	45	19	of	of	ADP
cord-314725-og0ybfzf	45	20	infectious	infectious	ADJ
cord-314725-og0ybfzf	45	21	diseases	disease	NOUN
cord-314725-og0ybfzf	45	22	,	,	PUNCT
cord-314725-og0ybfzf	45	23	allowing	allow	VERB
cord-314725-og0ybfzf	45	24	epidemiologists	epidemiologist	NOUN
cord-314725-og0ybfzf	45	25	and	and	CCONJ
cord-314725-og0ybfzf	45	26	public	public	ADJ
cord-314725-og0ybfzf	45	27	health	health	NOUN
cord-314725-og0ybfzf	45	28	specialists	specialist	NOUN
cord-314725-og0ybfzf	45	29	to	to	PART
cord-314725-og0ybfzf	45	30	make	make	VERB
cord-314725-og0ybfzf	45	31	predictions	prediction	NOUN
cord-314725-og0ybfzf	45	32	on	on	ADP
cord-314725-og0ybfzf	45	33	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	45	34	[	[	PUNCT
cord-314725-og0ybfzf	45	35	5	5	NUM
cord-314725-og0ybfzf	45	36	]	]	PUNCT
cord-314725-og0ybfzf	45	37	.	.	PUNCT
cord-314725-og0ybfzf	46	1	the	the	DET
cord-314725-og0ybfzf	46	2	present	present	ADJ
cord-314725-og0ybfzf	46	3	work	work	NOUN
cord-314725-og0ybfzf	46	4	extends	extend	VERB
cord-314725-og0ybfzf	46	5	the	the	DET
cord-314725-og0ybfzf	46	6	method	method	NOUN
cord-314725-og0ybfzf	46	7	proposed	propose	VERB
cord-314725-og0ybfzf	46	8	in	in	ADP
cord-314725-og0ybfzf	46	9	[	[	X
cord-314725-og0ybfzf	46	10	24	24	NUM
cord-314725-og0ybfzf	46	11	]	]	PUNCT
cord-314725-og0ybfzf	46	12	for	for	ADP
cord-314725-og0ybfzf	46	13	finding	find	VERB
cord-314725-og0ybfzf	46	14	optimum	optimum	ADJ
cord-314725-og0ybfzf	46	15	values	value	NOUN
cord-314725-og0ybfzf	46	16	for	for	ADP
cord-314725-og0ybfzf	46	17	the	the	DET
cord-314725-og0ybfzf	46	18	infectivity	infectivity	NOUN
cord-314725-og0ybfzf	46	19	and	and	CCONJ
cord-314725-og0ybfzf	46	20	recovery	recovery	NOUN
cord-314725-og0ybfzf	46	21	rates	rate	NOUN
cord-314725-og0ybfzf	46	22	.	.	PUNCT
cord-314725-og0ybfzf	47	1	in	in	ADP
cord-314725-og0ybfzf	47	2	[	[	X
cord-314725-og0ybfzf	47	3	24	24	NUM
cord-314725-og0ybfzf	47	4	]	]	PUNCT
cord-314725-og0ybfzf	47	5	,	,	PUNCT
cord-314725-og0ybfzf	47	6	these	these	DET
cord-314725-og0ybfzf	47	7	values	value	NOUN
cord-314725-og0ybfzf	47	8	are	be	AUX
cord-314725-og0ybfzf	47	9	assumed	assume	VERB
cord-314725-og0ybfzf	47	10	to	to	PART
cord-314725-og0ybfzf	47	11	be	be	AUX
cord-314725-og0ybfzf	47	12	constant	constant	ADJ
cord-314725-og0ybfzf	47	13	over	over	ADP
cord-314725-og0ybfzf	47	14	the	the	DET
cord-314725-og0ybfzf	47	15	whole	whole	ADJ
cord-314725-og0ybfzf	47	16	interval	interval	NOUN
cord-314725-og0ybfzf	47	17	because	because	SCONJ
cord-314725-og0ybfzf	47	18	we	we	PRON
cord-314725-og0ybfzf	47	19	applied	apply	VERB
cord-314725-og0ybfzf	47	20	the	the	DET
cord-314725-og0ybfzf	47	21	method	method	NOUN
cord-314725-og0ybfzf	47	22	to	to	ADP
cord-314725-og0ybfzf	47	23	a	a	DET
cord-314725-og0ybfzf	47	24	short	short	ADJ
cord-314725-og0ybfzf	47	25	outbreak	outbreak	NOUN
cord-314725-og0ybfzf	47	26	of	of	ADP
cord-314725-og0ybfzf	47	27	influenza	influenza	NOUN
cord-314725-og0ybfzf	47	28	instead	instead	ADV
cord-314725-og0ybfzf	47	29	of	of	ADP
cord-314725-og0ybfzf	47	30	considering	consider	VERB
cord-314725-og0ybfzf	47	31	the	the	DET
cord-314725-og0ybfzf	47	32	long	long	ADJ
cord-314725-og0ybfzf	47	33	term	term	NOUN
cord-314725-og0ybfzf	47	34	evolution	evolution	NOUN
cord-314725-og0ybfzf	47	35	of	of	ADP
cord-314725-og0ybfzf	47	36	a	a	DET
cord-314725-og0ybfzf	47	37	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	47	38	as	as	ADP
cord-314725-og0ybfzf	47	39	with	with	ADP
cord-314725-og0ybfzf	47	40	the	the	DET
cord-314725-og0ybfzf	47	41	case	case	NOUN
cord-314725-og0ybfzf	47	42	of	of	ADP
cord-314725-og0ybfzf	47	43	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	47	44	.	.	PUNCT
cord-314725-og0ybfzf	48	1	here	here	ADV
cord-314725-og0ybfzf	48	2	,	,	PUNCT
cord-314725-og0ybfzf	48	3	we	we	PRON
cord-314725-og0ybfzf	48	4	assume	assume	VERB
cord-314725-og0ybfzf	48	5	the	the	DET
cord-314725-og0ybfzf	48	6	infectivity	infectivity	NOUN
cord-314725-og0ybfzf	48	7	and	and	CCONJ
cord-314725-og0ybfzf	48	8	recovery	recovery	NOUN
cord-314725-og0ybfzf	48	9	rates	rate	NOUN
cord-314725-og0ybfzf	48	10	are	be	AUX
cord-314725-og0ybfzf	48	11	functions	function	NOUN
cord-314725-og0ybfzf	48	12	of	of	ADP
cord-314725-og0ybfzf	48	13	time	time	NOUN
cord-314725-og0ybfzf	48	14	,	,	PUNCT
cord-314725-og0ybfzf	48	15	namely	namely	ADV
cord-314725-og0ybfzf	48	16	a	a	DET
cord-314725-og0ybfzf	48	17	=	=	X
cord-314725-og0ybfzf	48	18	a(t	a(t	X
cord-314725-og0ybfzf	48	19	)	)	PUNCT
cord-314725-og0ybfzf	48	20	and	and	CCONJ
cord-314725-og0ybfzf	48	21	b	b	PROPN
cord-314725-og0ybfzf	48	22	=	=	X
cord-314725-og0ybfzf	48	23	b(t	b(t	NOUN
cord-314725-og0ybfzf	48	24	)	)	PUNCT
cord-314725-og0ybfzf	48	25	.	.	PUNCT
cord-314725-og0ybfzf	49	1	the	the	DET
cord-314725-og0ybfzf	49	2	sir	sir	PROPN
cord-314725-og0ybfzf	49	3	model	model	NOUN
cord-314725-og0ybfzf	49	4	is	be	AUX
cord-314725-og0ybfzf	49	5	undoubtedly	undoubtedly	ADV
cord-314725-og0ybfzf	49	6	the	the	DET
cord-314725-og0ybfzf	49	7	most	most	ADV
cord-314725-og0ybfzf	49	8	famous	famous	ADJ
cord-314725-og0ybfzf	49	9	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	49	10	model	model	NOUN
cord-314725-og0ybfzf	49	11	for	for	ADP
cord-314725-og0ybfzf	49	12	the	the	DET
cord-314725-og0ybfzf	49	13	spread	spread	NOUN
cord-314725-og0ybfzf	49	14	of	of	ADP
cord-314725-og0ybfzf	49	15	an	an	DET
cord-314725-og0ybfzf	49	16	infectious	infectious	ADJ
cord-314725-og0ybfzf	49	17	disease	disease	NOUN
cord-314725-og0ybfzf	49	18	.	.	PUNCT
cord-314725-og0ybfzf	50	1	a	a	DET
cord-314725-og0ybfzf	50	2	constant	constant	ADJ
cord-314725-og0ybfzf	50	3	population	population	NOUN
cord-314725-og0ybfzf	50	4	of	of	ADP
cord-314725-og0ybfzf	50	5	size	size	NOUN
cord-314725-og0ybfzf	50	6	n	n	CCONJ
cord-314725-og0ybfzf	50	7	is	be	AUX
cord-314725-og0ybfzf	50	8	divided	divide	VERB
cord-314725-og0ybfzf	50	9	into	into	ADP
cord-314725-og0ybfzf	50	10	three	three	NUM
cord-314725-og0ybfzf	50	11	classes	class	NOUN
cord-314725-og0ybfzf	50	12	:	:	PUNCT
cord-314725-og0ybfzf	50	13	susceptible	susceptible	ADJ
cord-314725-og0ybfzf	50	14	s	s	NOUN
cord-314725-og0ybfzf	50	15	,	,	PUNCT
cord-314725-og0ybfzf	50	16	infectives	infective	NOUN
cord-314725-og0ybfzf	50	17	i	i	PRON
cord-314725-og0ybfzf	50	18	and	and	CCONJ
cord-314725-og0ybfzf	50	19	removed	remove	VERB
cord-314725-og0ybfzf	50	20	r.	r.	PROPN
cord-314725-og0ybfzf	50	21	removed	remove	VERB
cord-314725-og0ybfzf	50	22	individuals	individual	NOUN
cord-314725-og0ybfzf	50	23	r	r	NOUN
cord-314725-og0ybfzf	50	24	are	be	AUX
cord-314725-og0ybfzf	50	25	no	no	ADV
cord-314725-og0ybfzf	50	26	longer	long	ADV
cord-314725-og0ybfzf	50	27	susceptible	susceptible	ADJ
cord-314725-og0ybfzf	50	28	nor	nor	CCONJ
cord-314725-og0ybfzf	50	29	infectious	infectious	ADJ
cord-314725-og0ybfzf	50	30	for	for	ADP
cord-314725-og0ybfzf	50	31	whatever	whatever	DET
cord-314725-og0ybfzf	50	32	reason	reason	NOUN
cord-314725-og0ybfzf	50	33	;	;	PUNCT
cord-314725-og0ybfzf	50	34	for	for	ADP
cord-314725-og0ybfzf	50	35	example	example	NOUN
cord-314725-og0ybfzf	50	36	,	,	PUNCT
cord-314725-og0ybfzf	50	37	they	they	PRON
cord-314725-og0ybfzf	50	38	have	have	AUX
cord-314725-og0ybfzf	50	39	recovered	recover	VERB
cord-314725-og0ybfzf	50	40	from	from	ADP
cord-314725-og0ybfzf	50	41	the	the	DET
cord-314725-og0ybfzf	50	42	disease	disease	NOUN
cord-314725-og0ybfzf	50	43	and	and	CCONJ
cord-314725-og0ybfzf	50	44	are	be	AUX
cord-314725-og0ybfzf	50	45	now	now	ADV
cord-314725-og0ybfzf	50	46	immune	immune	ADJ
cord-314725-og0ybfzf	50	47	,	,	PUNCT
cord-314725-og0ybfzf	50	48	or	or	CCONJ
cord-314725-og0ybfzf	50	49	they	they	PRON
cord-314725-og0ybfzf	50	50	have	have	AUX
cord-314725-og0ybfzf	50	51	been	be	AUX
cord-314725-og0ybfzf	50	52	vaccinated	vaccinate	VERB
cord-314725-og0ybfzf	50	53	,	,	PUNCT
cord-314725-og0ybfzf	50	54	or	or	CCONJ
cord-314725-og0ybfzf	50	55	perhaps	perhaps	ADV
cord-314725-og0ybfzf	50	56	they	they	PRON
cord-314725-og0ybfzf	50	57	have	have	AUX
cord-314725-og0ybfzf	50	58	died	die	VERB
cord-314725-og0ybfzf	50	59	from	from	ADP
cord-314725-og0ybfzf	50	60	the	the	DET
cord-314725-og0ybfzf	50	61	disease	disease	NOUN
cord-314725-og0ybfzf	50	62	.	.	PUNCT
cord-314725-og0ybfzf	51	1	since	since	SCONJ
cord-314725-og0ybfzf	51	2	the	the	DET
cord-314725-og0ybfzf	51	3	isolated	isolated	ADJ
cord-314725-og0ybfzf	51	4	infectious	infectious	ADJ
cord-314725-og0ybfzf	51	5	people	people	NOUN
cord-314725-og0ybfzf	51	6	are	be	AUX
cord-314725-og0ybfzf	51	7	still	still	ADV
cord-314725-og0ybfzf	51	8	capable	capable	ADJ
cord-314725-og0ybfzf	51	9	of	of	ADP
cord-314725-og0ybfzf	51	10	infecting	infect	VERB
cord-314725-og0ybfzf	51	11	individuals	individual	NOUN
cord-314725-og0ybfzf	51	12	from	from	ADP
cord-314725-og0ybfzf	51	13	class	class	NOUN
cord-314725-og0ybfzf	51	14	s	s	NOUN
cord-314725-og0ybfzf	51	15	(	(	PUNCT
cord-314725-og0ybfzf	51	16	see	see	VERB
cord-314725-og0ybfzf	51	17	for	for	ADP
cord-314725-og0ybfzf	51	18	example	example	NOUN
cord-314725-og0ybfzf	51	19	the	the	DET
cord-314725-og0ybfzf	51	20	big	big	ADJ
cord-314725-og0ybfzf	51	21	number	number	NOUN
cord-314725-og0ybfzf	51	22	of	of	ADP
cord-314725-og0ybfzf	51	23	infected	infected	ADJ
cord-314725-og0ybfzf	51	24	medical	medical	ADJ
cord-314725-og0ybfzf	51	25	personnel	personnel	NOUN
cord-314725-og0ybfzf	51	26	)	)	PUNCT
cord-314725-og0ybfzf	51	27	,	,	PUNCT
cord-314725-og0ybfzf	51	28	we	we	PRON
cord-314725-og0ybfzf	51	29	count	count	VERB
cord-314725-og0ybfzf	51	30	these	these	DET
cord-314725-og0ybfzf	51	31	people	people	NOUN
cord-314725-og0ybfzf	51	32	as	as	ADP
cord-314725-og0ybfzf	51	33	members	member	NOUN
cord-314725-og0ybfzf	51	34	of	of	ADP
cord-314725-og0ybfzf	51	35	the	the	DET
cord-314725-og0ybfzf	51	36	class	class	NOUN
cord-314725-og0ybfzf	51	37	i.	i.	PROPN
cord-314725-og0ybfzf	51	38	the	the	DET
cord-314725-og0ybfzf	51	39	diagram	diagram	PROPN
cord-314725-og0ybfzf	51	40	for	for	ADP
cord-314725-og0ybfzf	51	41	the	the	DET
cord-314725-og0ybfzf	51	42	sir	sir	PROPN
cord-314725-og0ybfzf	51	43	model	model	NOUN
cord-314725-og0ybfzf	51	44	is	be	AUX
cord-314725-og0ybfzf	51	45	given	give	VERB
cord-314725-og0ybfzf	51	46	on	on	ADP
cord-314725-og0ybfzf	51	47	fig	fig	NOUN
cord-314725-og0ybfzf	51	48	.	.	PUNCT
cord-314725-og0ybfzf	52	1	1	1	NUM
cord-314725-og0ybfzf	52	2	.	.	PUNCT
cord-314725-og0ybfzf	53	1	there	there	PRON
cord-314725-og0ybfzf	53	2	exist	exist	VERB
cord-314725-og0ybfzf	53	3	other	other	ADJ
cord-314725-og0ybfzf	53	4	models	model	NOUN
cord-314725-og0ybfzf	53	5	considering	consider	VERB
cord-314725-og0ybfzf	53	6	additional	additional	ADJ
cord-314725-og0ybfzf	53	7	events	event	NOUN
cord-314725-og0ybfzf	53	8	and	and	CCONJ
cord-314725-og0ybfzf	53	9	features	feature	NOUN
cord-314725-og0ybfzf	53	10	,	,	PUNCT
cord-314725-og0ybfzf	53	11	such	such	ADJ
cord-314725-og0ybfzf	53	12	as	as	ADP
cord-314725-og0ybfzf	53	13	birth	birth	NOUN
cord-314725-og0ybfzf	53	14	and	and	CCONJ
cord-314725-og0ybfzf	53	15	death	death	NOUN
cord-314725-og0ybfzf	53	16	rates	rate	NOUN
cord-314725-og0ybfzf	53	17	(	(	PUNCT
cord-314725-og0ybfzf	53	18	non	non	ADJ
cord-314725-og0ybfzf	53	19	-	-	ADJ
cord-314725-og0ybfzf	53	20	constant	constant	ADJ
cord-314725-og0ybfzf	53	21	population	population	NOUN
cord-314725-og0ybfzf	53	22	)	)	PUNCT
cord-314725-og0ybfzf	53	23	,	,	PUNCT
cord-314725-og0ybfzf	53	24	vaccine	vaccine	NOUN
cord-314725-og0ybfzf	53	25	effect	effect	NOUN
cord-314725-og0ybfzf	53	26	,	,	PUNCT
cord-314725-og0ybfzf	53	27	reinfection	reinfection	NOUN
cord-314725-og0ybfzf	53	28	,	,	PUNCT
cord-314725-og0ybfzf	53	29	latent	latent	ADJ
cord-314725-og0ybfzf	53	30	period	period	NOUN
cord-314725-og0ybfzf	53	31	,	,	PUNCT
cord-314725-og0ybfzf	53	32	and	and	CCONJ
cord-314725-og0ybfzf	53	33	so	so	ADV
cord-314725-og0ybfzf	53	34	on	on	ADV
cord-314725-og0ybfzf	53	35	.	.	PUNCT
cord-314725-og0ybfzf	54	1	in	in	ADP
cord-314725-og0ybfzf	54	2	this	this	DET
cord-314725-og0ybfzf	54	3	work	work	NOUN
cord-314725-og0ybfzf	54	4	,	,	PUNCT
cord-314725-og0ybfzf	54	5	we	we	PRON
cord-314725-og0ybfzf	54	6	use	use	VERB
cord-314725-og0ybfzf	54	7	the	the	DET
cord-314725-og0ybfzf	54	8	sir	sir	PROPN
cord-314725-og0ybfzf	54	9	model	model	NOUN
cord-314725-og0ybfzf	54	10	,	,	PUNCT
cord-314725-og0ybfzf	54	11	because	because	SCONJ
cord-314725-og0ybfzf	54	12	the	the	DET
cord-314725-og0ybfzf	54	13	considered	consider	VERB
cord-314725-og0ybfzf	54	14	time	time	NOUN
cord-314725-og0ybfzf	54	15	period	period	NOUN
cord-314725-og0ybfzf	54	16	is	be	AUX
cord-314725-og0ybfzf	54	17	relatively	relatively	ADV
cord-314725-og0ybfzf	54	18	short	short	ADJ
cord-314725-og0ybfzf	54	19	.	.	PUNCT
cord-314725-og0ybfzf	55	1	we	we	PRON
cord-314725-og0ybfzf	55	2	assume	assume	VERB
cord-314725-og0ybfzf	55	3	that	that	SCONJ
cord-314725-og0ybfzf	55	4	the	the	DET
cord-314725-og0ybfzf	55	5	population	population	NOUN
cord-314725-og0ybfzf	55	6	under	under	ADP
cord-314725-og0ybfzf	55	7	study	study	NOUN
cord-314725-og0ybfzf	55	8	is	be	AUX
cord-314725-og0ybfzf	55	9	well	well	ADV
cord-314725-og0ybfzf	55	10	mixed	mixed	ADJ
cord-314725-og0ybfzf	55	11	so	so	SCONJ
cord-314725-og0ybfzf	55	12	that	that	SCONJ
cord-314725-og0ybfzf	55	13	every	every	DET
cord-314725-og0ybfzf	55	14	person	person	NOUN
cord-314725-og0ybfzf	55	15	has	have	AUX
cord-314725-og0ybfzf	55	16	equal	equal	ADJ
cord-314725-og0ybfzf	55	17	probability	probability	NOUN
cord-314725-og0ybfzf	55	18	of	of	ADP
cord-314725-og0ybfzf	55	19	coming	come	VERB
cord-314725-og0ybfzf	55	20	into	into	ADP
cord-314725-og0ybfzf	55	21	contact	contact	NOUN
cord-314725-og0ybfzf	55	22	with	with	ADP
cord-314725-og0ybfzf	55	23	every	every	DET
cord-314725-og0ybfzf	55	24	other	other	ADJ
cord-314725-og0ybfzf	55	25	person	person	NOUN
cord-314725-og0ybfzf	55	26	.	.	PUNCT
cord-314725-og0ybfzf	56	1	this	this	DET
cord-314725-og0ybfzf	56	2	major	major	ADJ
cord-314725-og0ybfzf	56	3	assumption	assumption	NOUN
cord-314725-og0ybfzf	56	4	does	do	AUX
cord-314725-og0ybfzf	56	5	not	not	PART
cord-314725-og0ybfzf	56	6	hold	hold	VERB
cord-314725-og0ybfzf	56	7	in	in	ADP
cord-314725-og0ybfzf	56	8	many	many	ADJ
cord-314725-og0ybfzf	56	9	situations	situation	NOUN
cord-314725-og0ybfzf	56	10	[	[	X
cord-314725-og0ybfzf	56	11	28	28	NUM
cord-314725-og0ybfzf	56	12	]	]	PUNCT
cord-314725-og0ybfzf	56	13	,	,	PUNCT
cord-314725-og0ybfzf	56	14	e.g.	e.g.	ADV
cord-314725-og0ybfzf	56	15	sexually	sexually	ADV
cord-314725-og0ybfzf	56	16	transmitted	transmit	VERB
cord-314725-og0ybfzf	56	17	diseases	disease	NOUN
cord-314725-og0ybfzf	56	18	and	and	CCONJ
cord-314725-og0ybfzf	56	19	covid-19	covid-19	NUM
cord-314725-og0ybfzf	56	20	social	social	ADJ
cord-314725-og0ybfzf	56	21	distancing	distancing	NOUN
cord-314725-og0ybfzf	56	22	.	.	PUNCT
cord-314725-og0ybfzf	57	1	let	let	VERB
cord-314725-og0ybfzf	57	2	a∆t	a∆t	NOUN
cord-314725-og0ybfzf	57	3	be	be	AUX
cord-314725-og0ybfzf	57	4	the	the	DET
cord-314725-og0ybfzf	57	5	probability	probability	NOUN
cord-314725-og0ybfzf	57	6	that	that	SCONJ
cord-314725-og0ybfzf	57	7	a	a	DET
cord-314725-og0ybfzf	57	8	random	random	ADJ
cord-314725-og0ybfzf	57	9	infectious	infectious	ADJ
cord-314725-og0ybfzf	57	10	individual	individual	NOUN
cord-314725-og0ybfzf	57	11	infects	infect	VERB
cord-314725-og0ybfzf	57	12	a	a	DET
cord-314725-og0ybfzf	57	13	random	random	ADJ
cord-314725-og0ybfzf	57	14	susceptible	susceptible	ADJ
cord-314725-og0ybfzf	57	15	individual	individual	NOUN
cord-314725-og0ybfzf	57	16	during	during	ADP
cord-314725-og0ybfzf	57	17	the	the	DET
cord-314725-og0ybfzf	57	18	time	time	NOUN
cord-314725-og0ybfzf	57	19	period	period	NOUN
cord-314725-og0ybfzf	57	20	∆t	∆t	PROPN
cord-314725-og0ybfzf	57	21	.	.	PUNCT
cord-314725-og0ybfzf	58	1	then	then	ADV
cord-314725-og0ybfzf	58	2	with	with	ADP
cord-314725-og0ybfzf	58	3	s(t	s(t	PROPN
cord-314725-og0ybfzf	58	4	)	)	PUNCT
cord-314725-og0ybfzf	58	5	susceptible	susceptible	ADJ
cord-314725-og0ybfzf	58	6	and	and	CCONJ
cord-314725-og0ybfzf	58	7	i(t	i(t	PROPN
cord-314725-og0ybfzf	58	8	)	)	PUNCT
cord-314725-og0ybfzf	58	9	infectious	infectious	ADJ
cord-314725-og0ybfzf	58	10	population	population	NOUN
cord-314725-og0ybfzf	58	11	,	,	PUNCT
cord-314725-og0ybfzf	58	12	the	the	DET
cord-314725-og0ybfzf	58	13	expected	expected	ADJ
cord-314725-og0ybfzf	58	14	number	number	NOUN
cord-314725-og0ybfzf	58	15	of	of	ADP
cord-314725-og0ybfzf	58	16	newly	newly	ADV
cord-314725-og0ybfzf	58	17	infectious	infectious	ADJ
cord-314725-og0ybfzf	58	18	individuals	individual	NOUN
cord-314725-og0ybfzf	58	19	in	in	ADP
cord-314725-og0ybfzf	58	20	the	the	DET
cord-314725-og0ybfzf	58	21	total	total	ADJ
cord-314725-og0ybfzf	58	22	population	population	NOUN
cord-314725-og0ybfzf	58	23	n	n	ADV
cord-314725-og0ybfzf	58	24	during	during	ADP
cord-314725-og0ybfzf	58	25	time	time	NOUN
cord-314725-og0ybfzf	58	26	∆t	∆t	PROPN
cord-314725-og0ybfzf	58	27	is	be	AUX
cord-314725-og0ybfzf	58	28	asi∆t	asi∆t	PROPN
cord-314725-og0ybfzf	58	29	,	,	PUNCT
cord-314725-og0ybfzf	58	30	i.e.	i.e.	X
cord-314725-og0ybfzf	58	31	,	,	PUNCT
cord-314725-og0ybfzf	58	32	the	the	DET
cord-314725-og0ybfzf	58	33	rate	rate	NOUN
cord-314725-og0ybfzf	58	34	of	of	ADP
cord-314725-og0ybfzf	58	35	change	change	NOUN
cord-314725-og0ybfzf	58	36	of	of	ADP
cord-314725-og0ybfzf	58	37	the	the	DET
cord-314725-og0ybfzf	58	38	class	class	NOUN
cord-314725-og0ybfzf	58	39	s(t	s(t	PROPN
cord-314725-og0ybfzf	58	40	)	)	PUNCT
cord-314725-og0ybfzf	58	41	is	be	AUX
cord-314725-og0ybfzf	58	42	−asi	−asi	NOUN
cord-314725-og0ybfzf	58	43	,	,	PUNCT
cord-314725-og0ybfzf	58	44	where	where	SCONJ
cord-314725-og0ybfzf	58	45	a	a	DET
cord-314725-og0ybfzf	58	46	>	>	X
cord-314725-og0ybfzf	58	47	0	0	NUM
cord-314725-og0ybfzf	58	48	.	.	PUNCT
cord-314725-og0ybfzf	59	1	we	we	PRON
cord-314725-og0ybfzf	59	2	also	also	ADV
cord-314725-og0ybfzf	59	3	assume	assume	VERB
cord-314725-og0ybfzf	59	4	that	that	SCONJ
cord-314725-og0ybfzf	59	5	infectious	infectious	ADJ
cord-314725-og0ybfzf	59	6	individuals	individual	NOUN
cord-314725-og0ybfzf	59	7	leave	leave	VERB
cord-314725-og0ybfzf	59	8	the	the	DET
cord-314725-og0ybfzf	59	9	i(t	i(t	PROPN
cord-314725-og0ybfzf	59	10	)	)	PUNCT
cord-314725-og0ybfzf	59	11	class	class	NOUN
cord-314725-og0ybfzf	59	12	with	with	ADP
cord-314725-og0ybfzf	59	13	rate	rate	PROPN
cord-314725-og0ybfzf	59	14	b	b	PROPN
cord-314725-og0ybfzf	59	15	and	and	CCONJ
cord-314725-og0ybfzf	59	16	they	they	PRON
cord-314725-og0ybfzf	59	17	move	move	VERB
cord-314725-og0ybfzf	59	18	directly	directly	ADV
cord-314725-og0ybfzf	59	19	into	into	ADP
cord-314725-og0ybfzf	59	20	the	the	DET
cord-314725-og0ybfzf	59	21	r(t	r(t	NOUN
cord-314725-og0ybfzf	59	22	)	)	PUNCT
cord-314725-og0ybfzf	59	23	class	class	NOUN
cord-314725-og0ybfzf	59	24	.	.	PUNCT
cord-314725-og0ybfzf	60	1	there	there	PRON
cord-314725-og0ybfzf	60	2	are	be	VERB
cord-314725-og0ybfzf	60	3	reports	report	NOUN
cord-314725-og0ybfzf	60	4	for	for	ADP
cord-314725-og0ybfzf	60	5	recovered	recover	VERB
cord-314725-og0ybfzf	60	6	from	from	ADP
cord-314725-og0ybfzf	60	7	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	60	8	individuals	individual	NOUN
cord-314725-og0ybfzf	60	9	who	who	PRON
cord-314725-og0ybfzf	60	10	are	be	AUX
cord-314725-og0ybfzf	60	11	re	re	VERB
cord-314725-og0ybfzf	60	12	-	-	VERB
cord-314725-og0ybfzf	60	13	infected	infect	VERB
cord-314725-og0ybfzf	60	14	;	;	PUNCT
cord-314725-og0ybfzf	60	15	hence	hence	ADV
cord-314725-og0ybfzf	60	16	,	,	PUNCT
cord-314725-og0ybfzf	60	17	we	we	PRON
cord-314725-og0ybfzf	60	18	added	add	VERB
cord-314725-og0ybfzf	60	19	a	a	DET
cord-314725-og0ybfzf	60	20	dashed	dash	VERB
cord-314725-og0ybfzf	60	21	arrow	arrow	NOUN
cord-314725-og0ybfzf	60	22	from	from	ADP
cord-314725-og0ybfzf	60	23	the	the	DET
cord-314725-og0ybfzf	60	24	class	class	NOUN
cord-314725-og0ybfzf	60	25	r	r	NOUN
cord-314725-og0ybfzf	60	26	to	to	ADP
cord-314725-og0ybfzf	60	27	the	the	DET
cord-314725-og0ybfzf	60	28	class	class	NOUN
cord-314725-og0ybfzf	60	29	i.	i.	NOUN
cord-314725-og0ybfzf	60	30	since	since	SCONJ
cord-314725-og0ybfzf	60	31	the	the	DET
cord-314725-og0ybfzf	60	32	number	number	NOUN
cord-314725-og0ybfzf	60	33	of	of	ADP
cord-314725-og0ybfzf	60	34	these	these	DET
cord-314725-og0ybfzf	60	35	cases	case	NOUN
cord-314725-og0ybfzf	60	36	at	at	ADP
cord-314725-og0ybfzf	60	37	the	the	DET
cord-314725-og0ybfzf	60	38	present	present	ADJ
cord-314725-og0ybfzf	60	39	moment	moment	NOUN
cord-314725-og0ybfzf	60	40	is	be	AUX
cord-314725-og0ybfzf	60	41	very	very	ADV
cord-314725-og0ybfzf	60	42	limited	limited	ADJ
cord-314725-og0ybfzf	60	43	,	,	PUNCT
cord-314725-og0ybfzf	60	44	we	we	PRON
cord-314725-og0ybfzf	60	45	can	can	AUX
cord-314725-og0ybfzf	60	46	not	not	PART
cord-314725-og0ybfzf	60	47	estimate	estimate	VERB
cord-314725-og0ybfzf	60	48	the	the	DET
cord-314725-og0ybfzf	60	49	rate	rate	NOUN
cord-314725-og0ybfzf	60	50	c	c	NOUN
cord-314725-og0ybfzf	61	1	and	and	CCONJ
cord-314725-og0ybfzf	61	2	we	we	PRON
cord-314725-og0ybfzf	61	3	do	do	AUX
cord-314725-og0ybfzf	61	4	not	not	PART
cord-314725-og0ybfzf	61	5	include	include	VERB
cord-314725-og0ybfzf	61	6	this	this	DET
cord-314725-og0ybfzf	61	7	option	option	NOUN
cord-314725-og0ybfzf	61	8	into	into	ADP
cord-314725-og0ybfzf	61	9	the	the	DET
cord-314725-og0ybfzf	61	10	system	system	NOUN
cord-314725-og0ybfzf	61	11	.	.	PUNCT
cord-314725-og0ybfzf	62	1	since	since	SCONJ
cord-314725-og0ybfzf	62	2	the	the	DET
cord-314725-og0ybfzf	62	3	differential	differential	ADJ
cord-314725-og0ybfzf	62	4	equations	equation	NOUN
cord-314725-og0ybfzf	62	5	(	(	PUNCT
cord-314725-og0ybfzf	62	6	1	1	NUM
cord-314725-og0ybfzf	62	7	)	)	PUNCT
cord-314725-og0ybfzf	62	8	and	and	CCONJ
cord-314725-og0ybfzf	62	9	(	(	PUNCT
cord-314725-og0ybfzf	62	10	2	2	X
cord-314725-og0ybfzf	62	11	)	)	PUNCT
cord-314725-og0ybfzf	62	12	do	do	AUX
cord-314725-og0ybfzf	62	13	not	not	PART
cord-314725-og0ybfzf	62	14	depend	depend	VERB
cord-314725-og0ybfzf	62	15	on	on	ADP
cord-314725-og0ybfzf	62	16	r	r	X
cord-314725-og0ybfzf	62	17	,	,	PUNCT
cord-314725-og0ybfzf	62	18	it	it	PRON
cord-314725-og0ybfzf	62	19	is	be	AUX
cord-314725-og0ybfzf	62	20	convenient	convenient	ADJ
cord-314725-og0ybfzf	62	21	to	to	PART
cord-314725-og0ybfzf	62	22	split	split	VERB
cord-314725-og0ybfzf	62	23	the	the	DET
cord-314725-og0ybfzf	62	24	system	system	NOUN
cord-314725-og0ybfzf	62	25	into	into	ADP
cord-314725-og0ybfzf	62	26	two	two	NUM
cord-314725-og0ybfzf	62	27	parts	part	NOUN
cord-314725-og0ybfzf	62	28	-equations	-equation	NOUN
cord-314725-og0ybfzf	62	29	(	(	PUNCT
cord-314725-og0ybfzf	62	30	1	1	NUM
cord-314725-og0ybfzf	62	31	)	)	PUNCT
cord-314725-og0ybfzf	62	32	and	and	CCONJ
cord-314725-og0ybfzf	62	33	(	(	PUNCT
cord-314725-og0ybfzf	62	34	2	2	X
cord-314725-og0ybfzf	62	35	)	)	PUNCT
cord-314725-og0ybfzf	62	36	as	as	ADP
cord-314725-og0ybfzf	62	37	one	one	NUM
cord-314725-og0ybfzf	62	38	system	system	NOUN
cord-314725-og0ybfzf	62	39	,	,	PUNCT
cord-314725-og0ybfzf	62	40	and	and	CCONJ
cord-314725-og0ybfzf	62	41	equation	equation	NOUN
cord-314725-og0ybfzf	62	42	(	(	PUNCT
cord-314725-og0ybfzf	62	43	3	3	NUM
cord-314725-og0ybfzf	62	44	)	)	PUNCT
cord-314725-og0ybfzf	62	45	by	by	ADP
cord-314725-og0ybfzf	62	46	itself	itself	PRON
cord-314725-og0ybfzf	62	47	.	.	PUNCT
cord-314725-og0ybfzf	63	1	if	if	SCONJ
cord-314725-og0ybfzf	63	2	the	the	DET
cord-314725-og0ybfzf	63	3	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	63	4	a	a	PRON
cord-314725-og0ybfzf	63	5	and	and	CCONJ
cord-314725-og0ybfzf	63	6	b	b	NOUN
cord-314725-og0ybfzf	63	7	are	be	AUX
cord-314725-og0ybfzf	63	8	given	give	VERB
cord-314725-og0ybfzf	63	9	,	,	PUNCT
cord-314725-og0ybfzf	63	10	we	we	PRON
cord-314725-og0ybfzf	63	11	can	can	AUX
cord-314725-og0ybfzf	63	12	derive	derive	VERB
cord-314725-og0ybfzf	63	13	initial	initial	ADJ
cord-314725-og0ybfzf	63	14	conditions	condition	NOUN
cord-314725-og0ybfzf	63	15	from	from	ADP
cord-314725-og0ybfzf	63	16	the	the	DET
cord-314725-og0ybfzf	63	17	given	give	VERB
cord-314725-og0ybfzf	63	18	data	datum	NOUN
cord-314725-og0ybfzf	63	19	and	and	CCONJ
cord-314725-og0ybfzf	63	20	solve	solve	VERB
cord-314725-og0ybfzf	63	21	the	the	DET
cord-314725-og0ybfzf	63	22	problem	problem	NOUN
cord-314725-og0ybfzf	63	23	numerically	numerically	ADV
cord-314725-og0ybfzf	63	24	by	by	ADP
cord-314725-og0ybfzf	63	25	any	any	PRON
cord-314725-og0ybfzf	63	26	of	of	ADP
cord-314725-og0ybfzf	63	27	the	the	DET
cord-314725-og0ybfzf	63	28	well	well	ADV
cord-314725-og0ybfzf	63	29	known	know	VERB
cord-314725-og0ybfzf	63	30	methods	method	NOUN
cord-314725-og0ybfzf	63	31	for	for	ADP
cord-314725-og0ybfzf	63	32	initial	initial	ADJ
cord-314725-og0ybfzf	63	33	value	value	NOUN
cord-314725-og0ybfzf	63	34	problems	problem	NOUN
cord-314725-og0ybfzf	63	35	(	(	PUNCT
cord-314725-og0ybfzf	63	36	ivps	ivps	PROPN
cord-314725-og0ybfzf	63	37	)	)	PUNCT
cord-314725-og0ybfzf	63	38	.	.	PUNCT
cord-314725-og0ybfzf	64	1	we	we	PRON
cord-314725-og0ybfzf	64	2	refer	refer	VERB
cord-314725-og0ybfzf	64	3	the	the	DET
cord-314725-og0ybfzf	64	4	reader	reader	NOUN
cord-314725-og0ybfzf	64	5	to	to	ADP
cord-314725-og0ybfzf	64	6	[	[	X
cord-314725-og0ybfzf	64	7	2	2	NUM
cord-314725-og0ybfzf	64	8	]	]	X
cord-314725-og0ybfzf	64	9	for	for	ADP
cord-314725-og0ybfzf	64	10	more	more	ADJ
cord-314725-og0ybfzf	64	11	information	information	NOUN
cord-314725-og0ybfzf	64	12	on	on	ADP
cord-314725-og0ybfzf	64	13	methods	method	NOUN
cord-314725-og0ybfzf	64	14	for	for	ADP
cord-314725-og0ybfzf	64	15	solving	solve	VERB
cord-314725-og0ybfzf	64	16	ivps	ivps	PROPN
cord-314725-og0ybfzf	64	17	numerically	numerically	PROPN
cord-314725-og0ybfzf	64	18	.	.	PUNCT
cord-314725-og0ybfzf	65	1	the	the	DET
cord-314725-og0ybfzf	65	2	main	main	ADJ
cord-314725-og0ybfzf	65	3	question	question	NOUN
cord-314725-og0ybfzf	65	4	is	be	AUX
cord-314725-og0ybfzf	65	5	how	how	SCONJ
cord-314725-og0ybfzf	65	6	to	to	PART
cord-314725-og0ybfzf	65	7	find	find	VERB
cord-314725-og0ybfzf	65	8	the	the	DET
cord-314725-og0ybfzf	65	9	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	65	10	a	a	PRON
cord-314725-og0ybfzf	65	11	and	and	CCONJ
cord-314725-og0ybfzf	65	12	b	b	NOUN
cord-314725-og0ybfzf	65	13	for	for	ADP
cord-314725-og0ybfzf	65	14	a	a	DET
cord-314725-og0ybfzf	65	15	given	give	VERB
cord-314725-og0ybfzf	65	16	infection	infection	NOUN
cord-314725-og0ybfzf	65	17	,	,	PUNCT
cord-314725-og0ybfzf	65	18	e.g.	e.g.	ADV
cord-314725-og0ybfzf	65	19	covid-19	covid-19	NUM
cord-314725-og0ybfzf	65	20	.	.	PUNCT
cord-314725-og0ybfzf	66	1	the	the	DET
cord-314725-og0ybfzf	66	2	problem	problem	NOUN
cord-314725-og0ybfzf	66	3	for	for	ADP
cord-314725-og0ybfzf	66	4	the	the	DET
cord-314725-og0ybfzf	66	5	estimation	estimation	NOUN
cord-314725-og0ybfzf	66	6	of	of	ADP
cord-314725-og0ybfzf	66	7	the	the	DET
cord-314725-og0ybfzf	66	8	constants	constant	NOUN
cord-314725-og0ybfzf	66	9	a	a	PRON
cord-314725-og0ybfzf	66	10	and	and	CCONJ
cord-314725-og0ybfzf	66	11	b	b	PROPN
cord-314725-og0ybfzf	66	12	is	be	AUX
cord-314725-og0ybfzf	66	13	an	an	DET
cord-314725-og0ybfzf	66	14	inverse	inverse	ADJ
cord-314725-og0ybfzf	66	15	problem	problem	NOUN
cord-314725-og0ybfzf	66	16	solved	solve	VERB
cord-314725-og0ybfzf	66	17	in	in	ADP
cord-314725-og0ybfzf	66	18	[	[	X
cord-314725-og0ybfzf	66	19	24	24	NUM
cord-314725-og0ybfzf	66	20	]	]	PUNCT
cord-314725-og0ybfzf	66	21	.	.	PUNCT
cord-314725-og0ybfzf	67	1	a	a	DET
cord-314725-og0ybfzf	67	2	similar	similar	ADJ
cord-314725-og0ybfzf	67	3	approach	approach	NOUN
cord-314725-og0ybfzf	67	4	for	for	ADP
cord-314725-og0ybfzf	67	5	identifying	identify	VERB
cord-314725-og0ybfzf	67	6	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	67	7	in	in	ADP
cord-314725-og0ybfzf	67	8	an	an	DET
cord-314725-og0ybfzf	67	9	euler	euler	ADJ
cord-314725-og0ybfzf	67	10	-	-	PUNCT
cord-314725-og0ybfzf	67	11	bernoulli	bernoulli	ADJ
cord-314725-og0ybfzf	67	12	equation	equation	NOUN
cord-314725-og0ybfzf	67	13	from	from	ADP
cord-314725-og0ybfzf	67	14	over	over	ADV
cord-314725-og0ybfzf	67	15	-	-	PUNCT
cord-314725-og0ybfzf	67	16	posed	pose	VERB
cord-314725-og0ybfzf	67	17	data	data	NOUN
cord-314725-og0ybfzf	67	18	is	be	AUX
cord-314725-og0ybfzf	67	19	used	use	VERB
cord-314725-og0ybfzf	67	20	in	in	ADP
cord-314725-og0ybfzf	67	21	[	[	X
cord-314725-og0ybfzf	67	22	23	23	NUM
cord-314725-og0ybfzf	67	23	]	]	PUNCT
cord-314725-og0ybfzf	67	24	and	and	CCONJ
cord-314725-og0ybfzf	67	25	[	[	X
cord-314725-og0ybfzf	67	26	26	26	NUM
cord-314725-og0ybfzf	67	27	]	]	PUNCT
cord-314725-og0ybfzf	67	28	.	.	PUNCT
cord-314725-og0ybfzf	68	1	we	we	PRON
cord-314725-og0ybfzf	68	2	assume	assume	VERB
cord-314725-og0ybfzf	68	3	that	that	SCONJ
cord-314725-og0ybfzf	68	4	(	(	PUNCT
cord-314725-og0ybfzf	68	5	from	from	ADP
cord-314725-og0ybfzf	68	6	the	the	DET
cord-314725-og0ybfzf	68	7	available	available	ADJ
cord-314725-og0ybfzf	68	8	data	datum	NOUN
cord-314725-og0ybfzf	68	9	)	)	PUNCT
cord-314725-og0ybfzf	68	10	the	the	DET
cord-314725-og0ybfzf	68	11	values	value	NOUN
cord-314725-og0ybfzf	68	12	of	of	ADP
cord-314725-og0ybfzf	68	13	s	s	NOUN
cord-314725-og0ybfzf	68	14	and	and	CCONJ
cord-314725-og0ybfzf	68	15	i	i	PRON
cord-314725-og0ybfzf	68	16	are	be	AUX
cord-314725-og0ybfzf	68	17	known	know	VERB
cord-314725-og0ybfzf	68	18	at	at	ADP
cord-314725-og0ybfzf	68	19	two	two	NUM
cord-314725-og0ybfzf	68	20	time	time	NOUN
cord-314725-og0ybfzf	68	21	moments	moment	NOUN
cord-314725-og0ybfzf	68	22	,	,	PUNCT
cord-314725-og0ybfzf	68	23	initial	initial	ADJ
cord-314725-og0ybfzf	68	24	time	time	NOUN
cord-314725-og0ybfzf	68	25	moment	moment	NOUN
cord-314725-og0ybfzf	68	26	t	t	PROPN
cord-314725-og0ybfzf	68	27	i	i	PRON
cord-314725-og0ybfzf	68	28	and	and	CCONJ
cord-314725-og0ybfzf	69	1	final	final	ADJ
cord-314725-og0ybfzf	69	2	time	time	NOUN
cord-314725-og0ybfzf	69	3	moment	moment	NOUN
cord-314725-og0ybfzf	69	4	t	t	PROPN
cord-314725-og0ybfzf	69	5	f	f	PROPN
cord-314725-og0ybfzf	69	6	,	,	PUNCT
cord-314725-og0ybfzf	69	7	and	and	CCONJ
cord-314725-og0ybfzf	69	8	if	if	SCONJ
cord-314725-og0ybfzf	69	9	the	the	DET
cord-314725-og0ybfzf	69	10	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	69	11	a	a	PRON
cord-314725-og0ybfzf	69	12	and	and	CCONJ
cord-314725-og0ybfzf	69	13	b	b	NOUN
cord-314725-og0ybfzf	69	14	are	be	AUX
cord-314725-og0ybfzf	69	15	known	know	VERB
cord-314725-og0ybfzf	69	16	,	,	PUNCT
cord-314725-og0ybfzf	69	17	the	the	DET
cord-314725-og0ybfzf	69	18	solution	solution	NOUN
cord-314725-og0ybfzf	69	19	of	of	ADP
cord-314725-og0ybfzf	69	20	equations	equation	NOUN
cord-314725-og0ybfzf	69	21	(	(	PUNCT
cord-314725-og0ybfzf	69	22	1	1	NUM
cord-314725-og0ybfzf	69	23	)	)	PUNCT
cord-314725-og0ybfzf	69	24	and	and	CCONJ
cord-314725-og0ybfzf	69	25	(	(	PUNCT
cord-314725-og0ybfzf	69	26	2	2	X
cord-314725-og0ybfzf	69	27	)	)	PUNCT
cord-314725-og0ybfzf	69	28	can	can	AUX
cord-314725-og0ybfzf	69	29	be	be	AUX
cord-314725-og0ybfzf	69	30	determined	determine	VERB
cord-314725-og0ybfzf	69	31	using	use	VERB
cord-314725-og0ybfzf	69	32	the	the	DET
cord-314725-og0ybfzf	69	33	initial	initial	ADJ
cord-314725-og0ybfzf	69	34	conditions	condition	NOUN
cord-314725-og0ybfzf	69	35	(	(	PUNCT
cord-314725-og0ybfzf	69	36	4	4	NUM
cord-314725-og0ybfzf	69	37	)	)	PUNCT
cord-314725-og0ybfzf	69	38	.	.	PUNCT
cord-314725-og0ybfzf	70	1	in	in	ADP
cord-314725-og0ybfzf	70	2	general	general	ADJ
cord-314725-og0ybfzf	70	3	,	,	PUNCT
cord-314725-og0ybfzf	70	4	the	the	DET
cord-314725-og0ybfzf	70	5	terminal	terminal	ADJ
cord-314725-og0ybfzf	70	6	conditions	condition	NOUN
cord-314725-og0ybfzf	70	7	(	(	PUNCT
cord-314725-og0ybfzf	70	8	5	5	NUM
cord-314725-og0ybfzf	70	9	)	)	PUNCT
cord-314725-og0ybfzf	70	10	are	be	AUX
cord-314725-og0ybfzf	70	11	not	not	PART
cord-314725-og0ybfzf	70	12	satisfied	satisfied	ADJ
cord-314725-og0ybfzf	70	13	exactly	exactly	ADV
cord-314725-og0ybfzf	70	14	.	.	PUNCT
cord-314725-og0ybfzf	71	1	therefore	therefore	ADV
cord-314725-og0ybfzf	71	2	,	,	PUNCT
cord-314725-og0ybfzf	71	3	if	if	SCONJ
cord-314725-og0ybfzf	71	4	the	the	DET
cord-314725-og0ybfzf	71	5	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	71	6	a	a	PRON
cord-314725-og0ybfzf	71	7	and	and	CCONJ
cord-314725-og0ybfzf	71	8	b	b	NOUN
cord-314725-og0ybfzf	71	9	are	be	AUX
cord-314725-og0ybfzf	71	10	given	give	VERB
cord-314725-og0ybfzf	71	11	,	,	PUNCT
cord-314725-og0ybfzf	71	12	the	the	DET
cord-314725-og0ybfzf	71	13	problem	problem	NOUN
cord-314725-og0ybfzf	71	14	is	be	AUX
cord-314725-og0ybfzf	71	15	overdetermined	overdetermine	VERB
cord-314725-og0ybfzf	71	16	.	.	PUNCT
cord-314725-og0ybfzf	72	1	let	let	VERB
cord-314725-og0ybfzf	72	2	us	we	PRON
cord-314725-og0ybfzf	72	3	assume	assume	VERB
cord-314725-og0ybfzf	72	4	that	that	SCONJ
cord-314725-og0ybfzf	72	5	the	the	DET
cord-314725-og0ybfzf	72	6	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	72	7	a	a	PRON
cord-314725-og0ybfzf	72	8	and	and	CCONJ
cord-314725-og0ybfzf	72	9	b	b	NOUN
cord-314725-og0ybfzf	72	10	are	be	AUX
cord-314725-og0ybfzf	72	11	constant	constant	ADJ
cord-314725-og0ybfzf	72	12	and	and	CCONJ
cord-314725-og0ybfzf	72	13	unknown	unknown	ADJ
cord-314725-og0ybfzf	72	14	.	.	PUNCT
cord-314725-og0ybfzf	73	1	in	in	ADP
cord-314725-og0ybfzf	73	2	this	this	DET
cord-314725-og0ybfzf	73	3	case	case	NOUN
cord-314725-og0ybfzf	73	4	,	,	PUNCT
cord-314725-og0ybfzf	73	5	the	the	DET
cord-314725-og0ybfzf	73	6	general	general	ADJ
cord-314725-og0ybfzf	73	7	solution	solution	NOUN
cord-314725-og0ybfzf	73	8	of	of	ADP
cord-314725-og0ybfzf	73	9	the	the	DET
cord-314725-og0ybfzf	73	10	system	system	NOUN
cord-314725-og0ybfzf	73	11	(	(	PUNCT
cord-314725-og0ybfzf	73	12	1	1	NUM
cord-314725-og0ybfzf	73	13	)	)	PUNCT
cord-314725-og0ybfzf	73	14	,	,	PUNCT
cord-314725-og0ybfzf	73	15	(	(	PUNCT
cord-314725-og0ybfzf	73	16	2	2	X
cord-314725-og0ybfzf	73	17	)	)	PUNCT
cord-314725-og0ybfzf	73	18	depends	depend	VERB
cord-314725-og0ybfzf	73	19	on	on	ADP
cord-314725-og0ybfzf	73	20	four	four	NUM
cord-314725-og0ybfzf	73	21	constants	constant	NOUN
cord-314725-og0ybfzf	73	22	-	-	PUNCT
cord-314725-og0ybfzf	73	23	two	two	NUM
cord-314725-og0ybfzf	73	24	constants	constant	NOUN
cord-314725-og0ybfzf	73	25	from	from	ADP
cord-314725-og0ybfzf	73	26	the	the	DET
cord-314725-og0ybfzf	73	27	integration	integration	NOUN
cord-314725-og0ybfzf	73	28	and	and	CCONJ
cord-314725-og0ybfzf	73	29	the	the	DET
cord-314725-og0ybfzf	73	30	unknown	unknown	ADJ
cord-314725-og0ybfzf	73	31	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	73	32	a	a	PRON
cord-314725-og0ybfzf	73	33	and	and	CCONJ
cord-314725-og0ybfzf	73	34	b.	b.	PROPN
cord-314725-og0ybfzf	74	1	the	the	DET
cord-314725-og0ybfzf	74	2	number	number	NOUN
cord-314725-og0ybfzf	74	3	of	of	ADP
cord-314725-og0ybfzf	74	4	conditions	condition	NOUN
cord-314725-og0ybfzf	74	5	/	/	SYM
cord-314725-og0ybfzf	74	6	equations	equation	NOUN
cord-314725-og0ybfzf	74	7	in	in	ADP
cord-314725-og0ybfzf	74	8	(	(	PUNCT
cord-314725-og0ybfzf	74	9	4	4	NUM
cord-314725-og0ybfzf	74	10	)	)	PUNCT
cord-314725-og0ybfzf	74	11	and	and	CCONJ
cord-314725-og0ybfzf	74	12	(	(	PUNCT
cord-314725-og0ybfzf	74	13	5	5	X
cord-314725-og0ybfzf	74	14	)	)	PUNCT
cord-314725-og0ybfzf	74	15	is	be	AUX
cord-314725-og0ybfzf	74	16	also	also	ADV
cord-314725-og0ybfzf	74	17	four	four	NUM
cord-314725-og0ybfzf	74	18	;	;	PUNCT
cord-314725-og0ybfzf	74	19	hence	hence	ADV
cord-314725-og0ybfzf	74	20	,	,	PUNCT
cord-314725-og0ybfzf	74	21	the	the	DET
cord-314725-og0ybfzf	74	22	problem	problem	NOUN
cord-314725-og0ybfzf	74	23	for	for	ADP
cord-314725-og0ybfzf	74	24	identifying	identify	VERB
cord-314725-og0ybfzf	74	25	the	the	DET
cord-314725-og0ybfzf	74	26	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	74	27	along	along	ADP
cord-314725-og0ybfzf	74	28	with	with	ADP
cord-314725-og0ybfzf	74	29	the	the	DET
cord-314725-og0ybfzf	74	30	functions	function	NOUN
cord-314725-og0ybfzf	74	31	s	s	NOUN
cord-314725-og0ybfzf	74	32	and	and	CCONJ
cord-314725-og0ybfzf	74	33	i	i	PRON
cord-314725-og0ybfzf	74	34	is	be	AUX
cord-314725-og0ybfzf	74	35	well	well	ADV
cord-314725-og0ybfzf	74	36	-	-	PUNCT
cord-314725-og0ybfzf	74	37	posed	pose	VERB
cord-314725-og0ybfzf	74	38	,	,	PUNCT
cord-314725-og0ybfzf	74	39	provided	provide	VERB
cord-314725-og0ybfzf	74	40	that	that	SCONJ
cord-314725-og0ybfzf	74	41	an	an	DET
cord-314725-og0ybfzf	74	42	exact	exact	ADJ
cord-314725-og0ybfzf	74	43	solution	solution	NOUN
cord-314725-og0ybfzf	74	44	exists	exist	VERB
cord-314725-og0ybfzf	74	45	(	(	PUNCT
cord-314725-og0ybfzf	74	46	or	or	CCONJ
cord-314725-og0ybfzf	74	47	can	can	AUX
cord-314725-og0ybfzf	74	48	be	be	AUX
cord-314725-og0ybfzf	74	49	obtained	obtain	VERB
cord-314725-og0ybfzf	74	50	)	)	PUNCT
cord-314725-og0ybfzf	74	51	.	.	PUNCT
cord-314725-og0ybfzf	75	1	this	this	DET
cord-314725-og0ybfzf	75	2	type	type	NOUN
cord-314725-og0ybfzf	75	3	of	of	ADP
cord-314725-og0ybfzf	75	4	problems	problem	NOUN
cord-314725-og0ybfzf	75	5	belongs	belong	VERB
cord-314725-og0ybfzf	75	6	to	to	ADP
cord-314725-og0ybfzf	75	7	the	the	DET
cord-314725-og0ybfzf	75	8	class	class	NOUN
cord-314725-og0ybfzf	75	9	of	of	ADP
cord-314725-og0ybfzf	75	10	the	the	DET
cord-314725-og0ybfzf	75	11	so	so	ADV
cord-314725-og0ybfzf	75	12	-	-	PUNCT
cord-314725-og0ybfzf	75	13	called	call	VERB
cord-314725-og0ybfzf	75	14	inverse	inverse	ADJ
cord-314725-og0ybfzf	75	15	problems	problem	NOUN
cord-314725-og0ybfzf	75	16	.	.	PUNCT
cord-314725-og0ybfzf	76	1	still	still	ADV
cord-314725-og0ybfzf	76	2	,	,	PUNCT
cord-314725-og0ybfzf	76	3	the	the	DET
cord-314725-og0ybfzf	76	4	problem	problem	NOUN
cord-314725-og0ybfzf	76	5	for	for	ADP
cord-314725-og0ybfzf	76	6	obtaining	obtain	VERB
cord-314725-og0ybfzf	76	7	(	(	PUNCT
cord-314725-og0ybfzf	76	8	s	s	PROPN
cord-314725-og0ybfzf	76	9	,	,	PUNCT
cord-314725-og0ybfzf	76	10	i	i	NOUN
cord-314725-og0ybfzf	76	11	)	)	PUNCT
cord-314725-og0ybfzf	76	12	and	and	CCONJ
cord-314725-og0ybfzf	76	13	(	(	PUNCT
cord-314725-og0ybfzf	76	14	a	a	DET
cord-314725-og0ybfzf	76	15	,	,	PUNCT
cord-314725-og0ybfzf	76	16	b	b	NOUN
cord-314725-og0ybfzf	76	17	)	)	PUNCT
cord-314725-og0ybfzf	76	18	from	from	ADP
cord-314725-og0ybfzf	76	19	equations	equation	NOUN
cord-314725-og0ybfzf	76	20	(	(	PUNCT
cord-314725-og0ybfzf	76	21	1	1	NUM
cord-314725-og0ybfzf	76	22	)	)	PUNCT
cord-314725-og0ybfzf	76	23	and	and	CCONJ
cord-314725-og0ybfzf	76	24	(	(	PUNCT
cord-314725-og0ybfzf	76	25	2	2	X
cord-314725-og0ybfzf	76	26	)	)	PUNCT
cord-314725-og0ybfzf	76	27	under	under	ADP
cord-314725-og0ybfzf	76	28	the	the	DET
cord-314725-og0ybfzf	76	29	conditions	condition	NOUN
cord-314725-og0ybfzf	76	30	(	(	PUNCT
cord-314725-og0ybfzf	76	31	4	4	NUM
cord-314725-og0ybfzf	76	32	)	)	PUNCT
cord-314725-og0ybfzf	76	33	and	and	CCONJ
cord-314725-og0ybfzf	76	34	(	(	PUNCT
cord-314725-og0ybfzf	76	35	5	5	X
cord-314725-og0ybfzf	76	36	)	)	PUNCT
cord-314725-og0ybfzf	76	37	could	could	AUX
cord-314725-og0ybfzf	76	38	also	also	ADV
cord-314725-og0ybfzf	76	39	be	be	AUX
cord-314725-og0ybfzf	76	40	ill	ill	ADV
cord-314725-og0ybfzf	76	41	-	-	PUNCT
cord-314725-og0ybfzf	76	42	posed	pose	VERB
cord-314725-og0ybfzf	76	43	.	.	PUNCT
cord-314725-og0ybfzf	77	1	for	for	ADP
cord-314725-og0ybfzf	77	2	arbitrary	arbitrary	ADJ
cord-314725-og0ybfzf	77	3	values	value	NOUN
cord-314725-og0ybfzf	77	4	of	of	ADP
cord-314725-og0ybfzf	77	5	s	s	PROPN
cord-314725-og0ybfzf	77	6	i	i	PRON
cord-314725-og0ybfzf	77	7	,	,	PUNCT
cord-314725-og0ybfzf	77	8	s	s	VERB
cord-314725-og0ybfzf	77	9	f	f	PROPN
cord-314725-og0ybfzf	77	10	,	,	PUNCT
cord-314725-og0ybfzf	78	1	i	i	PRON
cord-314725-og0ybfzf	78	2	i	i	INTJ
cord-314725-og0ybfzf	78	3	,	,	PUNCT
cord-314725-og0ybfzf	78	4	i	i	PRON
cord-314725-og0ybfzf	78	5	f	f	X
cord-314725-og0ybfzf	78	6	,	,	PUNCT
cord-314725-og0ybfzf	78	7	there	there	PRON
cord-314725-og0ybfzf	78	8	may	may	AUX
cord-314725-og0ybfzf	78	9	be	be	AUX
cord-314725-og0ybfzf	78	10	no	no	DET
cord-314725-og0ybfzf	78	11	solution	solution	NOUN
cord-314725-og0ybfzf	78	12	(	(	PUNCT
cord-314725-og0ybfzf	78	13	s	s	X
cord-314725-og0ybfzf	78	14	,	,	PUNCT
cord-314725-og0ybfzf	78	15	i	i	NOUN
cord-314725-og0ybfzf	78	16	)	)	PUNCT
cord-314725-og0ybfzf	78	17	,	,	PUNCT
cord-314725-og0ybfzf	78	18	(	(	PUNCT
cord-314725-og0ybfzf	78	19	a	a	DET
cord-314725-og0ybfzf	78	20	,	,	PUNCT
cord-314725-og0ybfzf	78	21	b	b	NOUN
cord-314725-og0ybfzf	78	22	)	)	PUNCT
cord-314725-og0ybfzf	78	23	satisfying	satisfy	VERB
cord-314725-og0ybfzf	78	24	the	the	DET
cord-314725-og0ybfzf	78	25	equations	equation	NOUN
cord-314725-og0ybfzf	78	26	(	(	PUNCT
cord-314725-og0ybfzf	78	27	1	1	NUM
cord-314725-og0ybfzf	78	28	)	)	PUNCT
cord-314725-og0ybfzf	78	29	,	,	PUNCT
cord-314725-og0ybfzf	78	30	(	(	PUNCT
cord-314725-og0ybfzf	78	31	2	2	NUM
cord-314725-og0ybfzf	78	32	)	)	PUNCT
cord-314725-og0ybfzf	78	33	and	and	CCONJ
cord-314725-og0ybfzf	78	34	all	all	PRON
cord-314725-og0ybfzf	78	35	of	of	ADP
cord-314725-og0ybfzf	78	36	the	the	DET
cord-314725-og0ybfzf	78	37	conditions	condition	NOUN
cord-314725-og0ybfzf	78	38	in	in	ADP
cord-314725-og0ybfzf	78	39	(	(	PUNCT
cord-314725-og0ybfzf	78	40	4	4	NUM
cord-314725-og0ybfzf	78	41	)	)	PUNCT
cord-314725-og0ybfzf	78	42	,	,	PUNCT
cord-314725-og0ybfzf	78	43	(	(	PUNCT
cord-314725-og0ybfzf	78	44	5	5	NUM
cord-314725-og0ybfzf	78	45	)	)	PUNCT
cord-314725-og0ybfzf	78	46	.	.	PUNCT
cord-314725-og0ybfzf	79	1	for	for	ADP
cord-314725-og0ybfzf	79	2	this	this	DET
cord-314725-og0ybfzf	79	3	reason	reason	NOUN
cord-314725-og0ybfzf	79	4	,	,	PUNCT
cord-314725-og0ybfzf	79	5	we	we	PRON
cord-314725-og0ybfzf	79	6	assume	assume	VERB
cord-314725-og0ybfzf	79	7	that	that	SCONJ
cord-314725-og0ybfzf	79	8	the	the	DET
cord-314725-og0ybfzf	79	9	problem	problem	NOUN
cord-314725-og0ybfzf	79	10	is	be	AUX
cord-314725-og0ybfzf	79	11	posed	pose	VERB
cord-314725-og0ybfzf	79	12	correctly	correctly	ADV
cord-314725-og0ybfzf	79	13	after	after	ADP
cord-314725-og0ybfzf	79	14	tikhonov	tikhonov	PROPN
cord-314725-og0ybfzf	79	15	[	[	X
cord-314725-og0ybfzf	79	16	39	39	NUM
cord-314725-og0ybfzf	79	17	]	]	PUNCT
cord-314725-og0ybfzf	79	18	,	,	PUNCT
cord-314725-og0ybfzf	79	19	i.e.	i.e.	X
cord-314725-og0ybfzf	79	20	,	,	PUNCT
cord-314725-og0ybfzf	79	21	it	it	PRON
cord-314725-og0ybfzf	79	22	is	be	AUX
cord-314725-og0ybfzf	79	23	known	know	VERB
cord-314725-og0ybfzf	79	24	a	a	PRON
cord-314725-og0ybfzf	79	25	-	-	PUNCT
cord-314725-og0ybfzf	79	26	priori	priori	X
cord-314725-og0ybfzf	79	27	that	that	SCONJ
cord-314725-og0ybfzf	79	28	a	a	DET
cord-314725-og0ybfzf	79	29	solution	solution	NOUN
cord-314725-og0ybfzf	79	30	of	of	ADP
cord-314725-og0ybfzf	79	31	the	the	DET
cord-314725-og0ybfzf	79	32	problem	problem	NOUN
cord-314725-og0ybfzf	79	33	exists	exist	VERB
cord-314725-og0ybfzf	79	34	.	.	PUNCT
cord-314725-og0ybfzf	80	1	in	in	ADP
cord-314725-og0ybfzf	80	2	other	other	ADJ
cord-314725-og0ybfzf	80	3	words	word	NOUN
cord-314725-og0ybfzf	80	4	,	,	PUNCT
cord-314725-og0ybfzf	80	5	the	the	DET
cord-314725-og0ybfzf	80	6	the	the	DET
cord-314725-og0ybfzf	80	7	boundary	boundary	ADJ
cord-314725-og0ybfzf	80	8	data	datum	NOUN
cord-314725-og0ybfzf	80	9	have	have	VERB
cord-314725-og0ybfzf	80	10	"	"	PUNCT
cord-314725-og0ybfzf	80	11	physical	physical	ADJ
cord-314725-og0ybfzf	80	12	meaning	meaning	NOUN
cord-314725-og0ybfzf	80	13	"	"	PUNCT
cord-314725-og0ybfzf	80	14	and	and	CCONJ
cord-314725-og0ybfzf	80	15	,	,	PUNCT
cord-314725-og0ybfzf	80	16	therefore	therefore	ADV
cord-314725-og0ybfzf	80	17	,	,	PUNCT
cord-314725-og0ybfzf	80	18	a	a	DET
cord-314725-og0ybfzf	80	19	solution	solution	NOUN
cord-314725-og0ybfzf	80	20	exists	exist	VERB
cord-314725-og0ybfzf	80	21	.	.	PUNCT
cord-314725-og0ybfzf	81	1	we	we	PRON
cord-314725-og0ybfzf	81	2	are	be	AUX
cord-314725-og0ybfzf	81	3	now	now	ADV
cord-314725-og0ybfzf	81	4	ready	ready	ADJ
cord-314725-og0ybfzf	81	5	to	to	PART
cord-314725-og0ybfzf	81	6	construct	construct	VERB
cord-314725-og0ybfzf	81	7	an	an	DET
cord-314725-og0ybfzf	81	8	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	81	9	for	for	ADP
cord-314725-og0ybfzf	81	10	approximating	approximate	VERB
cord-314725-og0ybfzf	81	11	the	the	DET
cord-314725-og0ybfzf	81	12	solution	solution	NOUN
cord-314725-og0ybfzf	81	13	(	(	PUNCT
cord-314725-og0ybfzf	81	14	s	s	PROPN
cord-314725-og0ybfzf	81	15	,	,	PUNCT
cord-314725-og0ybfzf	81	16	i	i	NOUN
cord-314725-og0ybfzf	81	17	)	)	PUNCT
cord-314725-og0ybfzf	81	18	,	,	PUNCT
cord-314725-og0ybfzf	81	19	(	(	PUNCT
cord-314725-og0ybfzf	81	20	a	a	DET
cord-314725-og0ybfzf	81	21	,	,	PUNCT
cord-314725-og0ybfzf	81	22	b	b	NOUN
cord-314725-og0ybfzf	81	23	)	)	PUNCT
cord-314725-og0ybfzf	81	24	of	of	ADP
cord-314725-og0ybfzf	81	25	the	the	DET
cord-314725-og0ybfzf	81	26	inverse	inverse	ADJ
cord-314725-og0ybfzf	81	27	problem	problem	NOUN
cord-314725-og0ybfzf	81	28	(	(	PUNCT
cord-314725-og0ybfzf	81	29	1	1	NUM
cord-314725-og0ybfzf	81	30	)	)	PUNCT
cord-314725-og0ybfzf	81	31	,	,	PUNCT
cord-314725-og0ybfzf	81	32	(	(	PUNCT
cord-314725-og0ybfzf	81	33	2	2	X
cord-314725-og0ybfzf	81	34	)	)	PUNCT
cord-314725-og0ybfzf	81	35	,	,	PUNCT
cord-314725-og0ybfzf	81	36	(	(	PUNCT
cord-314725-og0ybfzf	81	37	4	4	NUM
cord-314725-og0ybfzf	81	38	)	)	PUNCT
cord-314725-og0ybfzf	81	39	,	,	PUNCT
cord-314725-og0ybfzf	81	40	(	(	PUNCT
cord-314725-og0ybfzf	81	41	5	5	NUM
cord-314725-og0ybfzf	81	42	)	)	PUNCT
cord-314725-og0ybfzf	81	43	.	.	PUNCT
cord-314725-og0ybfzf	82	1	for	for	ADP
cord-314725-og0ybfzf	82	2	estimating	estimate	VERB
cord-314725-og0ybfzf	82	3	the	the	DET
cord-314725-og0ybfzf	82	4	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	82	5	a	a	PRON
cord-314725-og0ybfzf	82	6	and	and	CCONJ
cord-314725-og0ybfzf	82	7	b	b	PROPN
cord-314725-og0ybfzf	82	8	of	of	ADP
cord-314725-og0ybfzf	82	9	the	the	DET
cord-314725-og0ybfzf	82	10	sir	sir	PROPN
cord-314725-og0ybfzf	82	11	model	model	NOUN
cord-314725-og0ybfzf	82	12	,	,	PUNCT
cord-314725-og0ybfzf	82	13	we	we	PRON
cord-314725-og0ybfzf	82	14	use	use	VERB
cord-314725-og0ybfzf	82	15	an	an	DET
cord-314725-og0ybfzf	82	16	approach	approach	NOUN
cord-314725-og0ybfzf	82	17	that	that	PRON
cord-314725-og0ybfzf	82	18	is	be	AUX
cord-314725-og0ybfzf	82	19	very	very	ADV
cord-314725-og0ybfzf	82	20	similar	similar	ADJ
cord-314725-og0ybfzf	82	21	to	to	ADP
cord-314725-og0ybfzf	82	22	the	the	DET
cord-314725-og0ybfzf	82	23	variational	variational	ADJ
cord-314725-og0ybfzf	82	24	method	method	NOUN
cord-314725-og0ybfzf	82	25	used	use	VERB
cord-314725-og0ybfzf	82	26	in	in	ADP
cord-314725-og0ybfzf	82	27	[	[	X
cord-314725-og0ybfzf	82	28	24	24	NUM
cord-314725-og0ybfzf	82	29	]	]	PUNCT
cord-314725-og0ybfzf	82	30	.	.	PUNCT
cord-314725-og0ybfzf	83	1	this	this	DET
cord-314725-og0ybfzf	83	2	method	method	NOUN
cord-314725-og0ybfzf	83	3	is	be	AUX
cord-314725-og0ybfzf	83	4	a	a	DET
cord-314725-og0ybfzf	83	5	generalization	generalization	NOUN
cord-314725-og0ybfzf	83	6	of	of	ADP
cord-314725-og0ybfzf	83	7	the	the	DET
cord-314725-og0ybfzf	83	8	least	least	ADJ
cord-314725-og0ybfzf	83	9	squares	square	NOUN
cord-314725-og0ybfzf	83	10	method	method	NOUN
cord-314725-og0ybfzf	83	11	.	.	PUNCT
cord-314725-og0ybfzf	84	1	more	more	ADJ
cord-314725-og0ybfzf	84	2	details	detail	NOUN
cord-314725-og0ybfzf	84	3	about	about	ADP
cord-314725-og0ybfzf	84	4	the	the	DET
cord-314725-og0ybfzf	84	5	method	method	NOUN
cord-314725-og0ybfzf	84	6	for	for	ADP
cord-314725-og0ybfzf	84	7	transforming	transform	VERB
cord-314725-og0ybfzf	84	8	the	the	DET
cord-314725-og0ybfzf	84	9	inverse	inverse	ADJ
cord-314725-og0ybfzf	84	10	problem	problem	NOUN
cord-314725-og0ybfzf	84	11	into	into	ADP
cord-314725-og0ybfzf	84	12	a	a	DET
cord-314725-og0ybfzf	84	13	correct	correct	ADJ
cord-314725-og0ybfzf	84	14	direct	direct	ADJ
cord-314725-og0ybfzf	84	15	problem	problem	NOUN
cord-314725-og0ybfzf	84	16	can	can	AUX
cord-314725-og0ybfzf	84	17	be	be	AUX
cord-314725-og0ybfzf	84	18	found	find	VERB
cord-314725-og0ybfzf	84	19	in	in	ADP
cord-314725-og0ybfzf	84	20	[	[	X
cord-314725-og0ybfzf	84	21	8	8	NUM
cord-314725-og0ybfzf	84	22	]	]	PUNCT
cord-314725-og0ybfzf	84	23	,	,	PUNCT
cord-314725-og0ybfzf	84	24	[	[	X
cord-314725-og0ybfzf	84	25	22	22	NUM
cord-314725-og0ybfzf	84	26	]	]	PUNCT
cord-314725-og0ybfzf	84	27	,	,	PUNCT
cord-314725-og0ybfzf	84	28	[	[	X
cord-314725-og0ybfzf	84	29	23	23	NUM
cord-314725-og0ybfzf	84	30	]	]	PUNCT
cord-314725-og0ybfzf	84	31	,	,	PUNCT
cord-314725-og0ybfzf	84	32	[	[	X
cord-314725-og0ybfzf	84	33	26	26	NUM
cord-314725-og0ybfzf	84	34	]	]	PUNCT
cord-314725-og0ybfzf	84	35	.	.	PUNCT
cord-314725-og0ybfzf	85	1	the	the	DET
cord-314725-og0ybfzf	85	2	original	original	ADJ
cord-314725-og0ybfzf	85	3	sir	sir	PROPN
cord-314725-og0ybfzf	85	4	model	model	NOUN
cord-314725-og0ybfzf	85	5	assumes	assume	VERB
cord-314725-og0ybfzf	85	6	that	that	SCONJ
cord-314725-og0ybfzf	85	7	the	the	DET
cord-314725-og0ybfzf	85	8	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	85	9	a	a	PRON
cord-314725-og0ybfzf	85	10	and	and	CCONJ
cord-314725-og0ybfzf	85	11	b	b	NOUN
cord-314725-og0ybfzf	85	12	are	be	AUX
cord-314725-og0ybfzf	85	13	constants	constant	NOUN
cord-314725-og0ybfzf	85	14	.	.	PUNCT
cord-314725-og0ybfzf	86	1	in	in	ADP
cord-314725-og0ybfzf	86	2	real	real	ADJ
cord-314725-og0ybfzf	86	3	live	live	ADJ
cord-314725-og0ybfzf	86	4	situations	situation	NOUN
cord-314725-og0ybfzf	86	5	,	,	PUNCT
cord-314725-og0ybfzf	86	6	e.g.	e.g.	ADV
cord-314725-og0ybfzf	86	7	the	the	DET
cord-314725-og0ybfzf	86	8	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	86	9	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	86	10	,	,	PUNCT
cord-314725-og0ybfzf	86	11	the	the	DET
cord-314725-og0ybfzf	86	12	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	86	13	vary	vary	VERB
cord-314725-og0ybfzf	86	14	in	in	ADP
cord-314725-og0ybfzf	86	15	time	time	NOUN
cord-314725-og0ybfzf	86	16	,	,	PUNCT
cord-314725-og0ybfzf	86	17	i.e.	i.e.	X
cord-314725-og0ybfzf	86	18	,	,	PUNCT
cord-314725-og0ybfzf	86	19	a	a	DET
cord-314725-og0ybfzf	86	20	=	=	X
cord-314725-og0ybfzf	86	21	a(t	a(t	X
cord-314725-og0ybfzf	86	22	)	)	PUNCT
cord-314725-og0ybfzf	86	23	and	and	CCONJ
cord-314725-og0ybfzf	86	24	b	b	PROPN
cord-314725-og0ybfzf	86	25	=	=	X
cord-314725-og0ybfzf	86	26	b(t	b(t	NOUN
cord-314725-og0ybfzf	86	27	)	)	PUNCT
cord-314725-og0ybfzf	86	28	.	.	PUNCT
cord-314725-og0ybfzf	87	1	the	the	DET
cord-314725-og0ybfzf	87	2	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	87	3	are	be	AUX
cord-314725-og0ybfzf	87	4	affected	affect	VERB
cord-314725-og0ybfzf	87	5	by	by	ADP
cord-314725-og0ybfzf	87	6	governments	government	NOUN
cord-314725-og0ybfzf	87	7	'	'	PART
cord-314725-og0ybfzf	87	8	restrictions	restriction	NOUN
cord-314725-og0ybfzf	87	9	,	,	PUNCT
cord-314725-og0ybfzf	87	10	societal	societal	ADJ
cord-314725-og0ybfzf	87	11	experiences	experience	NOUN
cord-314725-og0ybfzf	87	12	,	,	PUNCT
cord-314725-og0ybfzf	87	13	treatment	treatment	NOUN
cord-314725-og0ybfzf	87	14	,	,	PUNCT
cord-314725-og0ybfzf	87	15	among	among	ADP
cord-314725-og0ybfzf	87	16	others	other	NOUN
cord-314725-og0ybfzf	87	17	.	.	PUNCT
cord-314725-og0ybfzf	88	1	a	a	DET
cord-314725-og0ybfzf	88	2	similar	similar	ADJ
cord-314725-og0ybfzf	88	3	idea	idea	NOUN
cord-314725-og0ybfzf	88	4	was	be	AUX
cord-314725-og0ybfzf	88	5	proposed	propose	VERB
cord-314725-og0ybfzf	88	6	in	in	ADP
cord-314725-og0ybfzf	88	7	[	[	X
cord-314725-og0ybfzf	88	8	30	30	NUM
cord-314725-og0ybfzf	88	9	]	]	PUNCT
cord-314725-og0ybfzf	88	10	.	.	PUNCT
cord-314725-og0ybfzf	89	1	let	let	VERB
cord-314725-og0ybfzf	89	2	d	d	X
cord-314725-og0ybfzf	89	3	be	be	AUX
cord-314725-og0ybfzf	89	4	a	a	DET
cord-314725-og0ybfzf	89	5	data	data	NOUN
cord-314725-og0ybfzf	89	6	set	set	NOUN
cord-314725-og0ybfzf	89	7	of	of	ADP
cord-314725-og0ybfzf	89	8	function	function	NOUN
cord-314725-og0ybfzf	89	9	values	value	NOUN
cord-314725-og0ybfzf	89	10	s(t	s(t	PROPN
cord-314725-og0ybfzf	89	11	k	k	PROPN
cord-314725-og0ybfzf	89	12	)	)	PUNCT
cord-314725-og0ybfzf	89	13	,	,	PUNCT
cord-314725-og0ybfzf	89	14	i(t	i(t	PROPN
cord-314725-og0ybfzf	89	15	k	k	PROPN
cord-314725-og0ybfzf	89	16	)	)	PUNCT
cord-314725-og0ybfzf	89	17	at	at	ADP
cord-314725-og0ybfzf	89	18	some	some	DET
cord-314725-og0ybfzf	89	19	time	time	NOUN
cord-314725-og0ybfzf	89	20	moments	moment	VERB
cord-314725-og0ybfzf	89	21	t	t	PROPN
cord-314725-og0ybfzf	89	22	1	1	NUM
cord-314725-og0ybfzf	89	23	,	,	PUNCT
cord-314725-og0ybfzf	89	24	t	t	NOUN
cord-314725-og0ybfzf	89	25	2	2	NUM
cord-314725-og0ybfzf	89	26	,	,	PUNCT
cord-314725-og0ybfzf	89	27	.	.	PUNCT
cord-314725-og0ybfzf	89	28	.	.	PUNCT
cord-314725-og0ybfzf	89	29	.	.	PUNCT
cord-314725-og0ybfzf	89	30	.	.	PUNCT
cord-314725-og0ybfzf	90	1	we	we	PRON
cord-314725-og0ybfzf	90	2	assume	assume	VERB
cord-314725-og0ybfzf	90	3	there	there	PRON
cord-314725-og0ybfzf	90	4	exists	exist	VERB
cord-314725-og0ybfzf	90	5	an	an	DET
cord-314725-og0ybfzf	90	6	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	90	7	for	for	ADP
cord-314725-og0ybfzf	90	8	solving	solve	VERB
cord-314725-og0ybfzf	90	9	the	the	DET
cord-314725-og0ybfzf	90	10	inverse	inverse	ADJ
cord-314725-og0ybfzf	90	11	problem	problem	NOUN
cord-314725-og0ybfzf	90	12	(	(	PUNCT
cord-314725-og0ybfzf	90	13	1	1	NUM
cord-314725-og0ybfzf	90	14	)	)	PUNCT
cord-314725-og0ybfzf	90	15	,	,	PUNCT
cord-314725-og0ybfzf	90	16	(	(	PUNCT
cord-314725-og0ybfzf	90	17	2	2	X
cord-314725-og0ybfzf	90	18	)	)	PUNCT
cord-314725-og0ybfzf	90	19	,	,	PUNCT
cord-314725-og0ybfzf	90	20	given	give	VERB
cord-314725-og0ybfzf	90	21	the	the	DET
cord-314725-og0ybfzf	90	22	conditions	condition	NOUN
cord-314725-og0ybfzf	90	23	(	(	PUNCT
cord-314725-og0ybfzf	90	24	4	4	NUM
cord-314725-og0ybfzf	90	25	)	)	PUNCT
cord-314725-og0ybfzf	90	26	,	,	PUNCT
cord-314725-og0ybfzf	90	27	(	(	PUNCT
cord-314725-og0ybfzf	90	28	5	5	NUM
cord-314725-og0ybfzf	90	29	)	)	PUNCT
cord-314725-og0ybfzf	90	30	and	and	CCONJ
cord-314725-og0ybfzf	90	31	the	the	DET
cord-314725-og0ybfzf	90	32	data	datum	NOUN
cord-314725-og0ybfzf	90	33	set	set	VERB
cord-314725-og0ybfzf	90	34	d.	d.	PROPN
cord-314725-og0ybfzf	90	35	here	here	ADV
cord-314725-og0ybfzf	90	36	,	,	PUNCT
cord-314725-og0ybfzf	90	37	we	we	PRON
cord-314725-og0ybfzf	90	38	consider	consider	VERB
cord-314725-og0ybfzf	90	39	a	a	PRON
cord-314725-og0ybfzf	90	40	and	and	CCONJ
cord-314725-og0ybfzf	90	41	b	b	NOUN
cord-314725-og0ybfzf	90	42	to	to	PART
cord-314725-og0ybfzf	90	43	be	be	AUX
cord-314725-og0ybfzf	90	44	piece	piece	NOUN
cord-314725-og0ybfzf	90	45	-	-	PUNCT
cord-314725-og0ybfzf	90	46	wise	wise	ADJ
cord-314725-og0ybfzf	90	47	constant	constant	ADJ
cord-314725-og0ybfzf	90	48	(	(	PUNCT
cord-314725-og0ybfzf	90	49	step	step	NOUN
cord-314725-og0ybfzf	90	50	)	)	PUNCT
cord-314725-og0ybfzf	90	51	functions	function	NOUN
cord-314725-og0ybfzf	90	52	of	of	ADP
cord-314725-og0ybfzf	90	53	time	time	NOUN
cord-314725-og0ybfzf	90	54	the	the	DET
cord-314725-og0ybfzf	90	55	constants	constant	NOUN
cord-314725-og0ybfzf	90	56	a	a	DET
cord-314725-og0ybfzf	90	57	k	k	NOUN
cord-314725-og0ybfzf	90	58	and	and	CCONJ
cord-314725-og0ybfzf	90	59	b	b	PROPN
cord-314725-og0ybfzf	90	60	k	k	PROPN
cord-314725-og0ybfzf	90	61	can	can	AUX
cord-314725-og0ybfzf	90	62	be	be	AUX
cord-314725-og0ybfzf	90	63	estimated	estimate	VERB
cord-314725-og0ybfzf	90	64	by	by	ADP
cord-314725-og0ybfzf	90	65	solving	solve	VERB
cord-314725-og0ybfzf	90	66	the	the	DET
cord-314725-og0ybfzf	90	67	inverse	inverse	ADJ
cord-314725-og0ybfzf	90	68	problem	problem	NOUN
cord-314725-og0ybfzf	90	69	(	(	PUNCT
cord-314725-og0ybfzf	90	70	1	1	NUM
cord-314725-og0ybfzf	90	71	)	)	PUNCT
cord-314725-og0ybfzf	90	72	,	,	PUNCT
cord-314725-og0ybfzf	90	73	(	(	PUNCT
cord-314725-og0ybfzf	90	74	2	2	X
cord-314725-og0ybfzf	90	75	)	)	PUNCT
cord-314725-og0ybfzf	90	76	,	,	PUNCT
cord-314725-og0ybfzf	90	77	(	(	PUNCT
cord-314725-og0ybfzf	90	78	4	4	NUM
cord-314725-og0ybfzf	90	79	)	)	PUNCT
cord-314725-og0ybfzf	90	80	,	,	PUNCT
cord-314725-og0ybfzf	90	81	(	(	PUNCT
cord-314725-og0ybfzf	90	82	5	5	X
cord-314725-og0ybfzf	90	83	)	)	PUNCT
cord-314725-og0ybfzf	90	84	using	use	VERB
cord-314725-og0ybfzf	90	85	s	s	X
cord-314725-og0ybfzf	90	86	i	i	PRON
cord-314725-og0ybfzf	90	87	=	=	NOUN
cord-314725-og0ybfzf	90	88	s(t	s(t	PROPN
cord-314725-og0ybfzf	90	89	k−1	k−1	PROPN
cord-314725-og0ybfzf	90	90	)	)	PUNCT
cord-314725-og0ybfzf	90	91	,	,	PUNCT
cord-314725-og0ybfzf	90	92	s	s	PROPN
cord-314725-og0ybfzf	90	93	f	f	PROPN
cord-314725-og0ybfzf	90	94	=	=	PROPN
cord-314725-og0ybfzf	90	95	s(t	s(t	PROPN
cord-314725-og0ybfzf	90	96	k	k	PROPN
cord-314725-og0ybfzf	90	97	)	)	PUNCT
cord-314725-og0ybfzf	90	98	,	,	PUNCT
cord-314725-og0ybfzf	90	99	i	i	PRON
cord-314725-og0ybfzf	90	100	i	i	NOUN
cord-314725-og0ybfzf	90	101	=	=	VERB
cord-314725-og0ybfzf	90	102	i(t	i(t	PROPN
cord-314725-og0ybfzf	90	103	k−1	k−1	PROPN
cord-314725-og0ybfzf	90	104	)	)	PUNCT
cord-314725-og0ybfzf	90	105	,	,	PUNCT
cord-314725-og0ybfzf	90	106	and	and	CCONJ
cord-314725-og0ybfzf	90	107	i	i	PRON
cord-314725-og0ybfzf	90	108	f	f	PROPN
cord-314725-og0ybfzf	90	109	=	=	PROPN
cord-314725-og0ybfzf	90	110	(	(	PUNCT
cord-314725-og0ybfzf	90	111	t	t	PROPN
cord-314725-og0ybfzf	90	112	k	k	PROPN
cord-314725-og0ybfzf	90	113	)	)	PUNCT
cord-314725-og0ybfzf	90	114	,	,	PUNCT
cord-314725-og0ybfzf	90	115	for	for	ADP
cord-314725-og0ybfzf	90	116	k	k	PROPN
cord-314725-og0ybfzf	90	117	=	=	SYM
cord-314725-og0ybfzf	90	118	2	2	NUM
cord-314725-og0ybfzf	90	119	,	,	PUNCT
cord-314725-og0ybfzf	90	120	3	3	NUM
cord-314725-og0ybfzf	90	121	,	,	PUNCT
cord-314725-og0ybfzf	90	122	.	.	PUNCT
cord-314725-og0ybfzf	90	123	.	.	PUNCT
cord-314725-og0ybfzf	90	124	.	.	PUNCT
cord-314725-og0ybfzf	91	1	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	91	2	grow	grow	VERB
cord-314725-og0ybfzf	91	3	if	if	SCONJ
cord-314725-og0ybfzf	91	4	the	the	DET
cord-314725-og0ybfzf	91	5	derivative	derivative	PROPN
cord-314725-og0ybfzf	91	6	di	di	PROPN
cord-314725-og0ybfzf	91	7	/	/	SYM
cord-314725-og0ybfzf	91	8	dt	dt	PROPN
cord-314725-og0ybfzf	91	9	>	>	X
cord-314725-og0ybfzf	91	10	0	0	NUM
cord-314725-og0ybfzf	91	11	and	and	CCONJ
cord-314725-og0ybfzf	91	12	decrease	decrease	VERB
cord-314725-og0ybfzf	91	13	if	if	SCONJ
cord-314725-og0ybfzf	91	14	di	di	PROPN
cord-314725-og0ybfzf	91	15	/	/	SYM
cord-314725-og0ybfzf	91	16	dt	dt	X
cord-314725-og0ybfzf	91	17	<	<	X
cord-314725-og0ybfzf	91	18	0	0	NUM
cord-314725-og0ybfzf	91	19	.	.	PUNCT
cord-314725-og0ybfzf	92	1	an	an	DET
cord-314725-og0ybfzf	92	2	important	important	ADJ
cord-314725-og0ybfzf	92	3	parameter	parameter	NOUN
cord-314725-og0ybfzf	92	4	,	,	PUNCT
cord-314725-og0ybfzf	92	5	which	which	PRON
cord-314725-og0ybfzf	92	6	characterizes	characterize	VERB
cord-314725-og0ybfzf	92	7	infectious	infectious	ADJ
cord-314725-og0ybfzf	92	8	diseases	disease	NOUN
cord-314725-og0ybfzf	92	9	,	,	PUNCT
cord-314725-og0ybfzf	92	10	is	be	AUX
cord-314725-og0ybfzf	92	11	the	the	DET
cord-314725-og0ybfzf	92	12	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	92	13	rate	rate	NOUN
cord-314725-og0ybfzf	92	14	(	(	PUNCT
cord-314725-og0ybfzf	92	15	also	also	ADV
cord-314725-og0ybfzf	92	16	called	call	VERB
cord-314725-og0ybfzf	92	17	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	92	18	number	number	NOUN
cord-314725-og0ybfzf	92	19	or	or	CCONJ
cord-314725-og0ybfzf	92	20	ratio	ratio	NOUN
cord-314725-og0ybfzf	92	21	)	)	PUNCT
cord-314725-og0ybfzf	92	22	of	of	ADP
cord-314725-og0ybfzf	92	23	the	the	DET
cord-314725-og0ybfzf	92	24	infection	infection	NOUN
cord-314725-og0ybfzf	92	25	from	from	ADP
cord-314725-og0ybfzf	92	26	equation	equation	NOUN
cord-314725-og0ybfzf	92	27	(	(	PUNCT
cord-314725-og0ybfzf	92	28	2	2	NUM
cord-314725-og0ybfzf	92	29	)	)	PUNCT
cord-314725-og0ybfzf	92	30	and	and	CCONJ
cord-314725-og0ybfzf	92	31	(	(	PUNCT
cord-314725-og0ybfzf	92	32	7	7	NUM
cord-314725-og0ybfzf	92	33	)	)	PUNCT
cord-314725-og0ybfzf	92	34	,	,	PUNCT
cord-314725-og0ybfzf	92	35	it	it	PRON
cord-314725-og0ybfzf	92	36	follows	follow	VERB
cord-314725-og0ybfzf	92	37	that	that	SCONJ
cord-314725-og0ybfzf	92	38	consequently	consequently	ADV
cord-314725-og0ybfzf	92	39	,	,	PUNCT
cord-314725-og0ybfzf	92	40	the	the	DET
cord-314725-og0ybfzf	92	41	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	92	42	grows	grow	VERB
cord-314725-og0ybfzf	92	43	if	if	SCONJ
cord-314725-og0ybfzf	92	44	ρ(t	ρ(t	PROPN
cord-314725-og0ybfzf	92	45	)	)	PUNCT
cord-314725-og0ybfzf	92	46	>	>	X
cord-314725-og0ybfzf	92	47	1	1	NUM
cord-314725-og0ybfzf	92	48	and	and	CCONJ
cord-314725-og0ybfzf	92	49	decreases	decrease	VERB
cord-314725-og0ybfzf	92	50	if	if	SCONJ
cord-314725-og0ybfzf	92	51	ρ(t	ρ(t	PROPN
cord-314725-og0ybfzf	92	52	)	)	PUNCT
cord-314725-og0ybfzf	92	53	<	<	X
cord-314725-og0ybfzf	93	1	1	1	X
cord-314725-og0ybfzf	93	2	.	.	PUNCT
cord-314725-og0ybfzf	94	1	the	the	DET
cord-314725-og0ybfzf	94	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	94	3	rate	rate	NOUN
cord-314725-og0ybfzf	94	4	ρ(t	ρ(t	PROPN
cord-314725-og0ybfzf	94	5	)	)	PUNCT
cord-314725-og0ybfzf	94	6	represents	represent	VERB
cord-314725-og0ybfzf	94	7	the	the	DET
cord-314725-og0ybfzf	94	8	expected	expect	VERB
cord-314725-og0ybfzf	94	9	number	number	NOUN
cord-314725-og0ybfzf	94	10	of	of	ADP
cord-314725-og0ybfzf	94	11	secondary	secondary	ADJ
cord-314725-og0ybfzf	94	12	infections	infection	NOUN
cord-314725-og0ybfzf	94	13	produced	produce	VERB
cord-314725-og0ybfzf	94	14	by	by	ADP
cord-314725-og0ybfzf	94	15	a	a	DET
cord-314725-og0ybfzf	94	16	single	single	ADJ
cord-314725-og0ybfzf	94	17	primary	primary	ADJ
cord-314725-og0ybfzf	94	18	infected	infect	VERB
cord-314725-og0ybfzf	94	19	person	person	NOUN
cord-314725-og0ybfzf	94	20	.	.	PUNCT
cord-314725-og0ybfzf	95	1	the	the	DET
cord-314725-og0ybfzf	95	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	95	3	rate	rate	NOUN
cord-314725-og0ybfzf	95	4	in	in	ADP
cord-314725-og0ybfzf	95	5	hubei	hubei	PROPN
cord-314725-og0ybfzf	95	6	province	province	PROPN
cord-314725-og0ybfzf	95	7	(	(	PUNCT
cord-314725-og0ybfzf	95	8	china	china	PROPN
cord-314725-og0ybfzf	95	9	)	)	PUNCT
cord-314725-og0ybfzf	95	10	by	by	ADP
cord-314725-og0ybfzf	95	11	using	use	VERB
cord-314725-og0ybfzf	95	12	case	case	NOUN
cord-314725-og0ybfzf	95	13	-	-	PUNCT
cord-314725-og0ybfzf	95	14	report	report	NOUN
cord-314725-og0ybfzf	95	15	data	datum	NOUN
cord-314725-og0ybfzf	95	16	from	from	ADP
cord-314725-og0ybfzf	95	17	january	january	PROPN
cord-314725-og0ybfzf	95	18	11	11	NUM
cord-314725-og0ybfzf	95	19	to	to	ADP
cord-314725-og0ybfzf	95	20	february	february	PROPN
cord-314725-og0ybfzf	95	21	6	6	NUM
cord-314725-og0ybfzf	95	22	,	,	PUNCT
cord-314725-og0ybfzf	95	23	2020	2020	NUM
cord-314725-og0ybfzf	95	24	was	be	AUX
cord-314725-og0ybfzf	95	25	estimated	estimate	VERB
cord-314725-og0ybfzf	95	26	in	in	ADP
cord-314725-og0ybfzf	95	27	[	[	X
cord-314725-og0ybfzf	95	28	18	18	NUM
cord-314725-og0ybfzf	95	29	]	]	PUNCT
cord-314725-og0ybfzf	95	30	as	as	ADP
cord-314725-og0ybfzf	95	31	4.1192	4.1192	NUM
cord-314725-og0ybfzf	95	32	(	(	PUNCT
cord-314725-og0ybfzf	95	33	with	with	ADP
cord-314725-og0ybfzf	95	34	95	95	NUM
cord-314725-og0ybfzf	95	35	%	%	NOUN
cord-314725-og0ybfzf	95	36	confidence	confidence	NOUN
cord-314725-og0ybfzf	95	37	interval	interval	NOUN
cord-314725-og0ybfzf	95	38	4.04734.1912	4.04734.1912	NUM
cord-314725-og0ybfzf	95	39	)	)	PUNCT
cord-314725-og0ybfzf	95	40	.	.	PUNCT
cord-314725-og0ybfzf	96	1	the	the	DET
cord-314725-og0ybfzf	96	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	96	3	rate	rate	NOUN
cord-314725-og0ybfzf	96	4	ρ(t	ρ(t	PROPN
cord-314725-og0ybfzf	96	5	)	)	PUNCT
cord-314725-og0ybfzf	96	6	also	also	ADV
cord-314725-og0ybfzf	96	7	relates	relate	VERB
cord-314725-og0ybfzf	96	8	to	to	ADP
cord-314725-og0ybfzf	96	9	the	the	DET
cord-314725-og0ybfzf	96	10	fraction	fraction	NOUN
cord-314725-og0ybfzf	96	11	of	of	ADP
cord-314725-og0ybfzf	96	12	the	the	DET
cord-314725-og0ybfzf	96	13	population	population	NOUN
cord-314725-og0ybfzf	96	14	that	that	PRON
cord-314725-og0ybfzf	96	15	gets	get	VERB
cord-314725-og0ybfzf	96	16	sick	sick	ADJ
cord-314725-og0ybfzf	96	17	.	.	PUNCT
cord-314725-og0ybfzf	97	1	another	another	DET
cord-314725-og0ybfzf	97	2	important	important	ADJ
cord-314725-og0ybfzf	97	3	characteristics	characteristic	NOUN
cord-314725-og0ybfzf	97	4	of	of	ADP
cord-314725-og0ybfzf	97	5	an	an	DET
cord-314725-og0ybfzf	97	6	infectious	infectious	ADJ
cord-314725-og0ybfzf	97	7	disease	disease	NOUN
cord-314725-og0ybfzf	97	8	is	be	AUX
cord-314725-og0ybfzf	97	9	the	the	DET
cord-314725-og0ybfzf	97	10	so	so	ADV
cord-314725-og0ybfzf	97	11	-	-	PUNCT
cord-314725-og0ybfzf	97	12	called	call	VERB
cord-314725-og0ybfzf	97	13	herd	herd	NOUN
cord-314725-og0ybfzf	97	14	immunity	immunity	NOUN
cord-314725-og0ybfzf	97	15	-the	-the	DET
cord-314725-og0ybfzf	97	16	minimum	minimum	ADJ
cord-314725-og0ybfzf	97	17	fraction	fraction	NOUN
cord-314725-og0ybfzf	97	18	of	of	ADP
cord-314725-og0ybfzf	97	19	the	the	DET
cord-314725-og0ybfzf	97	20	population	population	NOUN
cord-314725-og0ybfzf	97	21	,	,	PUNCT
cord-314725-og0ybfzf	97	22	f	f	PROPN
cord-314725-og0ybfzf	97	23	,	,	PUNCT
cord-314725-og0ybfzf	97	24	that	that	PRON
cord-314725-og0ybfzf	97	25	is	be	AUX
cord-314725-og0ybfzf	97	26	required	require	VERB
cord-314725-og0ybfzf	97	27	to	to	PART
cord-314725-og0ybfzf	97	28	have	have	VERB
cord-314725-og0ybfzf	97	29	immunity	immunity	NOUN
cord-314725-og0ybfzf	97	30	in	in	ADP
cord-314725-og0ybfzf	97	31	order	order	NOUN
cord-314725-og0ybfzf	97	32	to	to	PART
cord-314725-og0ybfzf	97	33	prevent	prevent	VERB
cord-314725-og0ybfzf	97	34	an	an	DET
cord-314725-og0ybfzf	97	35	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	97	36	[	[	X
cord-314725-og0ybfzf	97	37	32	32	NUM
cord-314725-og0ybfzf	97	38	]	]	PUNCT
cord-314725-og0ybfzf	97	39	.	.	PUNCT
cord-314725-og0ybfzf	98	1	the	the	DET
cord-314725-og0ybfzf	98	2	stability	stability	NOUN
cord-314725-og0ybfzf	98	3	analysis	analysis	NOUN
cord-314725-og0ybfzf	98	4	of	of	ADP
cord-314725-og0ybfzf	98	5	the	the	DET
cord-314725-og0ybfzf	98	6	sir	sir	PROPN
cord-314725-og0ybfzf	98	7	model	model	NOUN
cord-314725-og0ybfzf	98	8	shows	show	VERB
cord-314725-og0ybfzf	98	9	thatf	thatf	PROPN
cord-314725-og0ybfzf	98	10	=	=	X
cord-314725-og0ybfzf	98	11	1	1	NUM
cord-314725-og0ybfzf	98	12	−	−	SYM
cord-314725-og0ybfzf	98	13	1	1	NUM
cord-314725-og0ybfzf	98	14	/	/	SYM
cord-314725-og0ybfzf	98	15	ρ	ρ	NUM
cord-314725-og0ybfzf	98	16	.	.	PUNCT
cord-314725-og0ybfzf	99	1	the	the	DET
cord-314725-og0ybfzf	99	2	society	society	NOUN
cord-314725-og0ybfzf	99	3	can	can	AUX
cord-314725-og0ybfzf	99	4	acquire	acquire	VERB
cord-314725-og0ybfzf	99	5	herd	herd	NOUN
cord-314725-og0ybfzf	99	6	immunity	immunity	NOUN
cord-314725-og0ybfzf	99	7	in	in	ADP
cord-314725-og0ybfzf	99	8	two	two	NUM
cord-314725-og0ybfzf	99	9	ways	way	NOUN
cord-314725-og0ybfzf	99	10	.	.	PUNCT
cord-314725-og0ybfzf	100	1	the	the	DET
cord-314725-og0ybfzf	100	2	"	"	PUNCT
cord-314725-og0ybfzf	100	3	natural	natural	ADJ
cord-314725-og0ybfzf	100	4	"	"	PUNCT
cord-314725-og0ybfzf	100	5	way	way	NOUN
cord-314725-og0ybfzf	100	6	is	be	AUX
cord-314725-og0ybfzf	100	7	to	to	PART
cord-314725-og0ybfzf	100	8	let	let	VERB
cord-314725-og0ybfzf	100	9	the	the	DET
cord-314725-og0ybfzf	100	10	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	100	11	spread	spread	VERB
cord-314725-og0ybfzf	100	12	until	until	SCONJ
cord-314725-og0ybfzf	100	13	the	the	DET
cord-314725-og0ybfzf	100	14	required	require	VERB
cord-314725-og0ybfzf	100	15	fraction	fraction	NOUN
cord-314725-og0ybfzf	100	16	of	of	ADP
cord-314725-og0ybfzf	100	17	the	the	DET
cord-314725-og0ybfzf	100	18	population	population	NOUN
cord-314725-og0ybfzf	100	19	,	,	PUNCT
cord-314725-og0ybfzf	100	20	f	f	PROPN
cord-314725-og0ybfzf	100	21	,	,	PUNCT
cord-314725-og0ybfzf	100	22	obtains	obtain	VERB
cord-314725-og0ybfzf	100	23	immunity	immunity	NOUN
cord-314725-og0ybfzf	100	24	.	.	PUNCT
cord-314725-og0ybfzf	101	1	the	the	DET
cord-314725-og0ybfzf	101	2	most	most	ADV
cord-314725-og0ybfzf	101	3	common	common	ADJ
cord-314725-og0ybfzf	101	4	"	"	PUNCT
cord-314725-og0ybfzf	101	5	non	non	ADJ
cord-314725-og0ybfzf	101	6	-	-	ADJ
cord-314725-og0ybfzf	101	7	natural	natural	ADJ
cord-314725-og0ybfzf	101	8	"	"	PUNCT
cord-314725-og0ybfzf	101	9	way	way	NOUN
cord-314725-og0ybfzf	101	10	is	be	AUX
cord-314725-og0ybfzf	101	11	vaccination	vaccination	NOUN
cord-314725-og0ybfzf	101	12	.	.	PUNCT
cord-314725-og0ybfzf	102	1	since	since	SCONJ
cord-314725-og0ybfzf	102	2	vaccines	vaccine	NOUN
cord-314725-og0ybfzf	102	3	are	be	AUX
cord-314725-og0ybfzf	102	4	not	not	PART
cord-314725-og0ybfzf	102	5	presently	presently	ADV
cord-314725-og0ybfzf	102	6	available	available	ADJ
cord-314725-og0ybfzf	102	7	for	for	ADP
cord-314725-og0ybfzf	102	8	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	102	9	,	,	PUNCT
cord-314725-og0ybfzf	102	10	some	some	DET
cord-314725-og0ybfzf	102	11	countries	country	NOUN
cord-314725-og0ybfzf	102	12	,	,	PUNCT
cord-314725-og0ybfzf	102	13	e.g.	e.g.	ADV
cord-314725-og0ybfzf	102	14	sweden	sweden	PROPN
cord-314725-og0ybfzf	102	15	,	,	PUNCT
cord-314725-og0ybfzf	102	16	tried	try	VERB
cord-314725-og0ybfzf	102	17	the	the	DET
cord-314725-og0ybfzf	102	18	"	"	PUNCT
cord-314725-og0ybfzf	102	19	natural	natural	ADJ
cord-314725-og0ybfzf	102	20	"	"	PUNCT
cord-314725-og0ybfzf	102	21	way	way	NOUN
cord-314725-og0ybfzf	102	22	.	.	PUNCT
cord-314725-og0ybfzf	103	1	as	as	ADP
cord-314725-og0ybfzf	103	2	of	of	ADP
cord-314725-og0ybfzf	103	3	this	this	DET
cord-314725-og0ybfzf	103	4	moment	moment	NOUN
cord-314725-og0ybfzf	103	5	,	,	PUNCT
cord-314725-og0ybfzf	103	6	their	their	PRON
cord-314725-og0ybfzf	103	7	approach	approach	NOUN
cord-314725-og0ybfzf	103	8	is	be	AUX
cord-314725-og0ybfzf	103	9	questionable	questionable	ADJ
cord-314725-og0ybfzf	103	10	,	,	PUNCT
cord-314725-og0ybfzf	103	11	according	accord	VERB
cord-314725-og0ybfzf	103	12	to	to	ADP
cord-314725-og0ybfzf	103	13	the	the	DET
cord-314725-og0ybfzf	103	14	results	result	NOUN
cord-314725-og0ybfzf	103	15	for	for	ADP
cord-314725-og0ybfzf	103	16	their	their	PRON
cord-314725-og0ybfzf	103	17	pandemic	pandemic	ADJ
cord-314725-og0ybfzf	103	18	spread	spread	NOUN
cord-314725-og0ybfzf	103	19	,	,	PUNCT
cord-314725-og0ybfzf	103	20	see	see	VERB
cord-314725-og0ybfzf	103	21	section	section	NOUN
cord-314725-og0ybfzf	103	22	4.7	4.7	NUM
cord-314725-og0ybfzf	103	23	.	.	PUNCT
cord-314725-og0ybfzf	104	1	many	many	ADJ
cord-314725-og0ybfzf	104	2	countries	country	NOUN
cord-314725-og0ybfzf	104	3	have	have	AUX
cord-314725-og0ybfzf	104	4	been	be	AUX
cord-314725-og0ybfzf	104	5	practicing	practice	VERB
cord-314725-og0ybfzf	104	6	social	social	ADJ
cord-314725-og0ybfzf	104	7	distancing	distancing	NOUN
cord-314725-og0ybfzf	104	8	and	and	CCONJ
cord-314725-og0ybfzf	104	9	other	other	ADJ
cord-314725-og0ybfzf	104	10	measures	measure	NOUN
cord-314725-og0ybfzf	104	11	to	to	PART
cord-314725-og0ybfzf	104	12	slow	slow	VERB
cord-314725-og0ybfzf	104	13	down	down	ADP
cord-314725-og0ybfzf	104	14	the	the	DET
cord-314725-og0ybfzf	104	15	transmission	transmission	NOUN
cord-314725-og0ybfzf	104	16	rate	rate	NOUN
cord-314725-og0ybfzf	104	17	a	a	PRON
cord-314725-og0ybfzf	104	18	of	of	ADP
cord-314725-og0ybfzf	104	19	the	the	DET
cord-314725-og0ybfzf	104	20	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	104	21	.	.	PUNCT
cord-314725-og0ybfzf	105	1	a	a	DET
cord-314725-og0ybfzf	105	2	method	method	NOUN
cord-314725-og0ybfzf	105	3	for	for	ADP
cord-314725-og0ybfzf	105	4	solving	solve	VERB
cord-314725-og0ybfzf	105	5	the	the	DET
cord-314725-og0ybfzf	105	6	inverse	inverse	ADJ
cord-314725-og0ybfzf	105	7	problem	problem	NOUN
cord-314725-og0ybfzf	105	8	in	in	ADP
cord-314725-og0ybfzf	105	9	the	the	DET
cord-314725-og0ybfzf	105	10	case	case	NOUN
cord-314725-og0ybfzf	105	11	of	of	ADP
cord-314725-og0ybfzf	105	12	constant	constant	ADJ
cord-314725-og0ybfzf	105	13	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	105	14	a	a	PRON
cord-314725-og0ybfzf	105	15	and	and	CCONJ
cord-314725-og0ybfzf	105	16	b	b	PROPN
cord-314725-og0ybfzf	105	17	is	be	AUX
cord-314725-og0ybfzf	105	18	given	give	VERB
cord-314725-og0ybfzf	105	19	in	in	ADP
cord-314725-og0ybfzf	105	20	[	[	X
cord-314725-og0ybfzf	105	21	24	24	NUM
cord-314725-og0ybfzf	105	22	]	]	PUNCT
cord-314725-og0ybfzf	105	23	,	,	PUNCT
cord-314725-og0ybfzf	105	24	along	along	ADP
cord-314725-og0ybfzf	105	25	with	with	ADP
cord-314725-og0ybfzf	105	26	a	a	DET
cord-314725-og0ybfzf	105	27	discussion	discussion	NOUN
cord-314725-og0ybfzf	105	28	of	of	ADP
cord-314725-og0ybfzf	105	29	some	some	DET
cord-314725-og0ybfzf	105	30	theoretical	theoretical	ADJ
cord-314725-og0ybfzf	105	31	aspects	aspect	NOUN
cord-314725-og0ybfzf	105	32	.	.	PUNCT
cord-314725-og0ybfzf	106	1	here	here	ADV
cord-314725-og0ybfzf	106	2	,	,	PUNCT
cord-314725-og0ybfzf	106	3	we	we	PRON
cord-314725-og0ybfzf	106	4	present	present	VERB
cord-314725-og0ybfzf	106	5	the	the	DET
cord-314725-og0ybfzf	106	6	numerical	numerical	ADJ
cord-314725-og0ybfzf	106	7	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	106	8	for	for	ADP
cord-314725-og0ybfzf	106	9	estimating	estimate	VERB
cord-314725-og0ybfzf	106	10	the	the	DET
cord-314725-og0ybfzf	106	11	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	106	12	if	if	SCONJ
cord-314725-og0ybfzf	106	13	they	they	PRON
cord-314725-og0ybfzf	106	14	depend	depend	VERB
cord-314725-og0ybfzf	106	15	on	on	ADP
cord-314725-og0ybfzf	106	16	time	time	NOUN
cord-314725-og0ybfzf	106	17	,	,	PUNCT
cord-314725-og0ybfzf	106	18	i.e.	i.e.	X
cord-314725-og0ybfzf	106	19	,	,	PUNCT
cord-314725-og0ybfzf	106	20	a	a	DET
cord-314725-og0ybfzf	106	21	=	=	X
cord-314725-og0ybfzf	106	22	a(t	a(t	X
cord-314725-og0ybfzf	106	23	)	)	PUNCT
cord-314725-og0ybfzf	106	24	and	and	CCONJ
cord-314725-og0ybfzf	106	25	b	b	PROPN
cord-314725-og0ybfzf	106	26	=	=	X
cord-314725-og0ybfzf	106	27	b(t	b(t	NOUN
cord-314725-og0ybfzf	106	28	)	)	PUNCT
cord-314725-og0ybfzf	106	29	.	.	PUNCT
cord-314725-og0ybfzf	107	1	the	the	DET
cord-314725-og0ybfzf	107	2	inverse	inverse	ADJ
cord-314725-og0ybfzf	107	3	problem	problem	NOUN
cord-314725-og0ybfzf	107	4	for	for	ADP
cord-314725-og0ybfzf	107	5	the	the	DET
cord-314725-og0ybfzf	107	6	time	time	NOUN
cord-314725-og0ybfzf	107	7	dependent	dependent	ADJ
cord-314725-og0ybfzf	107	8	infectivity	infectivity	NOUN
cord-314725-og0ybfzf	107	9	and	and	CCONJ
cord-314725-og0ybfzf	107	10	recovery	recovery	NOUN
cord-314725-og0ybfzf	107	11	rates	rate	NOUN
cord-314725-og0ybfzf	107	12	follows	follow	VERB
cord-314725-og0ybfzf	107	13	the	the	DET
cord-314725-og0ybfzf	107	14	idea	idea	NOUN
cord-314725-og0ybfzf	107	15	of	of	ADP
cord-314725-og0ybfzf	107	16	the	the	DET
cord-314725-og0ybfzf	107	17	method	method	NOUN
cord-314725-og0ybfzf	107	18	used	use	VERB
cord-314725-og0ybfzf	107	19	in	in	ADP
cord-314725-og0ybfzf	107	20	[	[	X
cord-314725-og0ybfzf	107	21	26	26	NUM
cord-314725-og0ybfzf	107	22	]	]	PUNCT
cord-314725-og0ybfzf	107	23	.	.	PUNCT
cord-314725-og0ybfzf	108	1	the	the	DET
cord-314725-og0ybfzf	108	2	original	original	ADJ
cord-314725-og0ybfzf	108	3	problem	problem	NOUN
cord-314725-og0ybfzf	108	4	is	be	AUX
cord-314725-og0ybfzf	108	5	replaced	replace	VERB
cord-314725-og0ybfzf	108	6	by	by	ADP
cord-314725-og0ybfzf	108	7	a	a	DET
cord-314725-og0ybfzf	108	8	minimization	minimization	NOUN
cord-314725-og0ybfzf	108	9	problem	problem	NOUN
cord-314725-og0ybfzf	108	10	.	.	PUNCT
cord-314725-og0ybfzf	109	1	for	for	ADP
cord-314725-og0ybfzf	109	2	the	the	DET
cord-314725-og0ybfzf	109	3	correct	correct	ADJ
cord-314725-og0ybfzf	109	4	embedded	embed	VERB
cord-314725-og0ybfzf	109	5	problem	problem	NOUN
cord-314725-og0ybfzf	109	6	,	,	PUNCT
cord-314725-og0ybfzf	109	7	a	a	DET
cord-314725-og0ybfzf	109	8	difference	difference	NOUN
cord-314725-og0ybfzf	109	9	scheme	scheme	NOUN
cord-314725-og0ybfzf	109	10	and	and	CCONJ
cord-314725-og0ybfzf	109	11	a	a	DET
cord-314725-og0ybfzf	109	12	numerical	numerical	ADJ
cord-314725-og0ybfzf	109	13	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	109	14	can	can	AUX
cord-314725-og0ybfzf	109	15	be	be	AUX
cord-314725-og0ybfzf	109	16	constructed	construct	VERB
cord-314725-og0ybfzf	109	17	.	.	PUNCT
cord-314725-og0ybfzf	110	1	first	first	ADV
cord-314725-og0ybfzf	110	2	,	,	PUNCT
cord-314725-og0ybfzf	110	3	we	we	PRON
cord-314725-og0ybfzf	110	4	start	start	VERB
cord-314725-og0ybfzf	110	5	with	with	ADP
cord-314725-og0ybfzf	110	6	the	the	DET
cord-314725-og0ybfzf	110	7	sub	sub	NOUN
cord-314725-og0ybfzf	110	8	-	-	NOUN
cord-314725-og0ybfzf	110	9	problem	problem	NOUN
cord-314725-og0ybfzf	110	10	in	in	ADP
cord-314725-og0ybfzf	110	11	case	case	NOUN
cord-314725-og0ybfzf	110	12	of	of	ADP
cord-314725-og0ybfzf	110	13	using	use	VERB
cord-314725-og0ybfzf	110	14	data	datum	NOUN
cord-314725-og0ybfzf	110	15	values	value	NOUN
cord-314725-og0ybfzf	110	16	at	at	ADP
cord-314725-og0ybfzf	110	17	two	two	NUM
cord-314725-og0ybfzf	110	18	time	time	NOUN
cord-314725-og0ybfzf	110	19	moments	moment	NOUN
cord-314725-og0ybfzf	110	20	.	.	PUNCT
cord-314725-og0ybfzf	111	1	since	since	SCONJ
cord-314725-og0ybfzf	111	2	we	we	PRON
cord-314725-og0ybfzf	111	3	are	be	AUX
cord-314725-og0ybfzf	111	4	concerned	concerned	ADJ
cord-314725-og0ybfzf	111	5	with	with	ADP
cord-314725-og0ybfzf	111	6	the	the	DET
cord-314725-og0ybfzf	111	7	numerical	numerical	ADJ
cord-314725-og0ybfzf	111	8	solution	solution	NOUN
cord-314725-og0ybfzf	111	9	of	of	ADP
cord-314725-og0ybfzf	111	10	the	the	DET
cord-314725-og0ybfzf	111	11	system	system	NOUN
cord-314725-og0ybfzf	111	12	(	(	PUNCT
cord-314725-og0ybfzf	111	13	1)-(3	1)-(3	NUM
cord-314725-og0ybfzf	111	14	)	)	PUNCT
cord-314725-og0ybfzf	111	15	,	,	PUNCT
cord-314725-og0ybfzf	111	16	we	we	PRON
cord-314725-og0ybfzf	111	17	seek	seek	VERB
cord-314725-og0ybfzf	111	18	approximations	approximation	NOUN
cord-314725-og0ybfzf	111	19	of	of	ADP
cord-314725-og0ybfzf	111	20	the	the	DET
cord-314725-og0ybfzf	111	21	functions	function	NOUN
cord-314725-og0ybfzf	111	22	s(t	s(t	VERB
cord-314725-og0ybfzf	111	23	)	)	PUNCT
cord-314725-og0ybfzf	111	24	,	,	PUNCT
cord-314725-og0ybfzf	111	25	i(t	i(t	PROPN
cord-314725-og0ybfzf	111	26	)	)	PUNCT
cord-314725-og0ybfzf	111	27	,	,	PUNCT
cord-314725-og0ybfzf	111	28	and	and	CCONJ
cord-314725-og0ybfzf	111	29	r(t	r(t	NOUN
cord-314725-og0ybfzf	111	30	)	)	PUNCT
cord-314725-og0ybfzf	111	31	at	at	ADP
cord-314725-og0ybfzf	111	32	the	the	DET
cord-314725-og0ybfzf	111	33	discrete	discrete	ADJ
cord-314725-og0ybfzf	111	34	set	set	NOUN
cord-314725-og0ybfzf	111	35	{	{	PUNCT
cord-314725-og0ybfzf	111	36	t	t	PROPN
cord-314725-og0ybfzf	111	37	0	0	NUM
cord-314725-og0ybfzf	111	38	,	,	PUNCT
cord-314725-og0ybfzf	111	39	t	t	NOUN
cord-314725-og0ybfzf	111	40	1	1	NUM
cord-314725-og0ybfzf	111	41	,	,	PUNCT
cord-314725-og0ybfzf	111	42	.	.	PUNCT
cord-314725-og0ybfzf	111	43	.	.	PUNCT
cord-314725-og0ybfzf	111	44	.	.	PUNCT
cord-314725-og0ybfzf	112	1	,	,	PUNCT
cord-314725-og0ybfzf	112	2	t	t	NOUN
cord-314725-og0ybfzf	112	3	n	n	NOUN
cord-314725-og0ybfzf	112	4	}	}	PUNCT
cord-314725-og0ybfzf	112	5	of	of	ADP
cord-314725-og0ybfzf	112	6	points	point	NOUN
cord-314725-og0ybfzf	112	7	in	in	ADP
cord-314725-og0ybfzf	112	8	the	the	DET
cord-314725-og0ybfzf	112	9	interval	interval	NOUN
cord-314725-og0ybfzf	112	10	[	[	X
cord-314725-og0ybfzf	112	11	t	t	X
cord-314725-og0ybfzf	112	12	i	i	NOUN
cord-314725-og0ybfzf	112	13	,	,	PUNCT
cord-314725-og0ybfzf	112	14	t	t	PROPN
cord-314725-og0ybfzf	112	15	f	f	X
cord-314725-og0ybfzf	112	16	]	]	PUNCT
cord-314725-og0ybfzf	112	17	,	,	PUNCT
cord-314725-og0ybfzf	112	18	where	where	SCONJ
cord-314725-og0ybfzf	112	19	t	t	PROPN
cord-314725-og0ybfzf	112	20	i	i	PRON
cord-314725-og0ybfzf	112	21	is	be	AUX
cord-314725-og0ybfzf	112	22	the	the	DET
cord-314725-og0ybfzf	112	23	initial	initial	ADJ
cord-314725-og0ybfzf	112	24	time	time	NOUN
cord-314725-og0ybfzf	112	25	moment	moment	NOUN
cord-314725-og0ybfzf	112	26	,	,	PUNCT
cord-314725-og0ybfzf	112	27	t	t	PROPN
cord-314725-og0ybfzf	112	28	f	f	PROPN
cord-314725-og0ybfzf	112	29	is	be	AUX
cord-314725-og0ybfzf	112	30	the	the	DET
cord-314725-og0ybfzf	112	31	final	final	ADJ
cord-314725-og0ybfzf	112	32	time	time	NOUN
cord-314725-og0ybfzf	112	33	moment	moment	NOUN
cord-314725-og0ybfzf	112	34	,	,	PUNCT
cord-314725-og0ybfzf	112	35	and	and	CCONJ
cord-314725-og0ybfzf	112	36	n	n	ADV
cord-314725-og0ybfzf	112	37	is	be	AUX
cord-314725-og0ybfzf	112	38	an	an	DET
cord-314725-og0ybfzf	112	39	integer	integer	NOUN
cord-314725-og0ybfzf	112	40	greater	great	ADJ
cord-314725-og0ybfzf	112	41	than	than	ADP
cord-314725-og0ybfzf	112	42	1	1	NUM
cord-314725-og0ybfzf	112	43	.	.	PUNCT
cord-314725-og0ybfzf	113	1	the	the	DET
cord-314725-og0ybfzf	113	2	mesh	mesh	NOUN
cord-314725-og0ybfzf	113	3	of	of	ADP
cord-314725-og0ybfzf	113	4	equidistant	equidistant	ADJ
cord-314725-og0ybfzf	113	5	points	point	NOUN
cord-314725-og0ybfzf	113	6	is	be	AUX
cord-314725-og0ybfzf	113	7	shown	show	VERB
cord-314725-og0ybfzf	113	8	in	in	ADP
cord-314725-og0ybfzf	113	9	fig	fig	PROPN
cord-314725-og0ybfzf	113	10	.	.	PUNCT
cord-314725-og0ybfzf	114	1	2	2	NUM
cord-314725-og0ybfzf	114	2	.	.	PUNCT
cord-314725-og0ybfzf	115	1	we	we	PRON
cord-314725-og0ybfzf	115	2	define	define	VERB
cord-314725-og0ybfzf	115	3	the	the	DET
cord-314725-og0ybfzf	115	4	step	step	NOUN
cord-314725-og0ybfzf	115	5	size	size	NOUN
cord-314725-og0ybfzf	115	6	as	as	ADP
cord-314725-og0ybfzf	115	7	τ	τ	PROPN
cord-314725-og0ybfzf	115	8	=	=	NOUN
cord-314725-og0ybfzf	115	9	tf	tf	PROPN
cord-314725-og0ybfzf	115	10	−ti	−ti	VERB
cord-314725-og0ybfzf	115	11	n−1	n−1	PROPN
cord-314725-og0ybfzf	115	12	.	.	PUNCT
cord-314725-og0ybfzf	116	1	the	the	DET
cord-314725-og0ybfzf	116	2	nodes	node	NOUN
cord-314725-og0ybfzf	116	3	are	be	AUX
cord-314725-og0ybfzf	116	4	the	the	DET
cord-314725-og0ybfzf	116	5	equidistant	equidistant	ADJ
cord-314725-og0ybfzf	116	6	points	point	NOUN
cord-314725-og0ybfzf	116	7	t	t	PROPN
cord-314725-og0ybfzf	116	8	k	k	PROPN
cord-314725-og0ybfzf	116	9	=	=	SYM
cord-314725-og0ybfzf	116	10	t	t	NOUN
cord-314725-og0ybfzf	117	1	i	i	PRON
cord-314725-og0ybfzf	118	1	+	+	CCONJ
cord-314725-og0ybfzf	118	2	kτ	kτ	INTJ
cord-314725-og0ybfzf	118	3	,	,	PUNCT
cord-314725-og0ybfzf	118	4	k	k	PROPN
cord-314725-og0ybfzf	118	5	=	=	SYM
cord-314725-og0ybfzf	118	6	0	0	NUM
cord-314725-og0ybfzf	118	7	,	,	PUNCT
cord-314725-og0ybfzf	118	8	1	1	NUM
cord-314725-og0ybfzf	118	9	,	,	PUNCT
cord-314725-og0ybfzf	118	10	.	.	PUNCT
cord-314725-og0ybfzf	118	11	.	.	PUNCT
cord-314725-og0ybfzf	119	1	.	.	PUNCT
cord-314725-og0ybfzf	120	1	,	,	PUNCT
cord-314725-og0ybfzf	120	2	n.	n.	PROPN
cord-314725-og0ybfzf	120	3	now	now	ADV
cord-314725-og0ybfzf	120	4	we	we	PRON
cord-314725-og0ybfzf	120	5	are	be	AUX
cord-314725-og0ybfzf	120	6	ready	ready	ADJ
cord-314725-og0ybfzf	120	7	to	to	PART
cord-314725-og0ybfzf	120	8	discretize	discretize	VERB
cord-314725-og0ybfzf	120	9	equations	equation	NOUN
cord-314725-og0ybfzf	120	10	(	(	PUNCT
cord-314725-og0ybfzf	120	11	1	1	NUM
cord-314725-og0ybfzf	120	12	)	)	PUNCT
cord-314725-og0ybfzf	120	13	and	and	CCONJ
cord-314725-og0ybfzf	120	14	(	(	PUNCT
cord-314725-og0ybfzf	120	15	2	2	X
cord-314725-og0ybfzf	120	16	)	)	PUNCT
cord-314725-og0ybfzf	120	17	this	this	DET
cord-314725-og0ybfzf	120	18	discretization	discretization	NOUN
cord-314725-og0ybfzf	120	19	secures	secure	VERB
cord-314725-og0ybfzf	120	20	the	the	DET
cord-314725-og0ybfzf	120	21	second	second	ADJ
cord-314725-og0ybfzf	120	22	order	order	NOUN
cord-314725-og0ybfzf	120	23	of	of	ADP
cord-314725-og0ybfzf	120	24	approximation	approximation	NOUN
cord-314725-og0ybfzf	120	25	o(τ	o(τ	PROPN
cord-314725-og0ybfzf	120	26	2	2	NUM
cord-314725-og0ybfzf	120	27	)	)	PUNCT
cord-314725-og0ybfzf	120	28	.	.	PUNCT
cord-314725-og0ybfzf	121	1	since	since	SCONJ
cord-314725-og0ybfzf	121	2	the	the	DET
cord-314725-og0ybfzf	121	3	problem	problem	NOUN
cord-314725-og0ybfzf	121	4	(	(	PUNCT
cord-314725-og0ybfzf	121	5	8)-(9	8)-(9	NUM
cord-314725-og0ybfzf	121	6	)	)	PUNCT
cord-314725-og0ybfzf	121	7	is	be	AUX
cord-314725-og0ybfzf	121	8	non	non	ADJ
cord-314725-og0ybfzf	121	9	-	-	ADJ
cord-314725-og0ybfzf	121	10	linear	linear	ADJ
cord-314725-og0ybfzf	121	11	,	,	PUNCT
cord-314725-og0ybfzf	121	12	we	we	PRON
cord-314725-og0ybfzf	121	13	use	use	VERB
cord-314725-og0ybfzf	121	14	an	an	DET
cord-314725-og0ybfzf	121	15	iterative	iterative	ADJ
cord-314725-og0ybfzf	121	16	procedure	procedure	NOUN
cord-314725-og0ybfzf	121	17	,	,	PUNCT
cord-314725-og0ybfzf	121	18	assuming	assume	VERB
cord-314725-og0ybfzf	121	19	that	that	SCONJ
cord-314725-og0ybfzf	121	20	s	s	PROPN
cord-314725-og0ybfzf	121	21	k	k	PROPN
cord-314725-og0ybfzf	121	22	andī	andī	PROPN
cord-314725-og0ybfzf	121	23	k	k	PROPN
cord-314725-og0ybfzf	121	24	are	be	AUX
cord-314725-og0ybfzf	121	25	given	give	VERB
cord-314725-og0ybfzf	121	26	from	from	ADP
cord-314725-og0ybfzf	121	27	the	the	DET
cord-314725-og0ybfzf	121	28	previous	previous	ADJ
cord-314725-og0ybfzf	121	29	iteration	iteration	NOUN
cord-314725-og0ybfzf	121	30	.	.	PUNCT
cord-314725-og0ybfzf	122	1	consider	consider	VERB
cord-314725-og0ybfzf	122	2	the	the	DET
cord-314725-og0ybfzf	122	3	function	function	NOUN
cord-314725-og0ybfzf	122	4	φ(a	φ(a	PROPN
cord-314725-og0ybfzf	122	5	,	,	PUNCT
cord-314725-og0ybfzf	122	6	b	b	PROPN
cord-314725-og0ybfzf	122	7	,	,	PUNCT
cord-314725-og0ybfzf	122	8	s	s	NOUN
cord-314725-og0ybfzf	122	9	1	1	NUM
cord-314725-og0ybfzf	122	10	,	,	PUNCT
cord-314725-og0ybfzf	122	11	.	.	PUNCT
cord-314725-og0ybfzf	122	12	.	.	PUNCT
cord-314725-og0ybfzf	122	13	.	.	PUNCT
cord-314725-og0ybfzf	123	1	,	,	PUNCT
cord-314725-og0ybfzf	123	2	s	s	X
cord-314725-og0ybfzf	123	3	n−1	n−1	PROPN
cord-314725-og0ybfzf	123	4	,	,	PUNCT
cord-314725-og0ybfzf	123	5	i	i	PRON
cord-314725-og0ybfzf	123	6	1	1	NUM
cord-314725-og0ybfzf	123	7	,	,	PUNCT
cord-314725-og0ybfzf	123	8	.	.	PUNCT
cord-314725-og0ybfzf	123	9	.	.	PUNCT
cord-314725-og0ybfzf	123	10	.	.	PUNCT
cord-314725-og0ybfzf	124	1	,	,	PUNCT
cord-314725-og0ybfzf	124	2	i	i	PRON
cord-314725-og0ybfzf	124	3	n−1	n−1	X
cord-314725-og0ybfzf	124	4	)	)	PUNCT
cord-314725-og0ybfzf	124	5	=	=	NOUN
cord-314725-og0ybfzf	124	6	where	where	SCONJ
cord-314725-og0ybfzf	124	7	k	k	PROPN
cord-314725-og0ybfzf	124	8	and	and	CCONJ
cord-314725-og0ybfzf	124	9	δ	δ	PROPN
cord-314725-og0ybfzf	124	10	k	k	PROPN
cord-314725-og0ybfzf	124	11	are	be	AUX
cord-314725-og0ybfzf	124	12	the	the	DET
cord-314725-og0ybfzf	124	13	residuals	residual	NOUN
cord-314725-og0ybfzf	124	14	of	of	ADP
cord-314725-og0ybfzf	124	15	equations	equation	NOUN
cord-314725-og0ybfzf	124	16	(	(	PUNCT
cord-314725-og0ybfzf	124	17	8)	8)	NUM
cord-314725-og0ybfzf	124	18	and	and	CCONJ
cord-314725-og0ybfzf	124	19	(	(	PUNCT
cord-314725-og0ybfzf	124	20	9	9	NUM
cord-314725-og0ybfzf	124	21	)	)	PUNCT
cord-314725-og0ybfzf	124	22	,	,	PUNCT
cord-314725-og0ybfzf	124	23	respectively	respectively	ADV
cord-314725-og0ybfzf	124	24	.	.	PUNCT
cord-314725-og0ybfzf	125	1	since	since	SCONJ
cord-314725-og0ybfzf	125	2	the	the	DET
cord-314725-og0ybfzf	125	3	function	function	NOUN
cord-314725-og0ybfzf	125	4	φ	φ	NOUN
cord-314725-og0ybfzf	125	5	is	be	AUX
cord-314725-og0ybfzf	125	6	a	a	DET
cord-314725-og0ybfzf	125	7	homogeneous	homogeneous	ADJ
cord-314725-og0ybfzf	125	8	quadratic	quadratic	ADJ
cord-314725-og0ybfzf	125	9	function	function	NOUN
cord-314725-og0ybfzf	125	10	of	of	ADP
cord-314725-og0ybfzf	125	11	k	k	PROPN
cord-314725-og0ybfzf	125	12	and	and	CCONJ
cord-314725-og0ybfzf	125	13	δ	δ	PROPN
cord-314725-og0ybfzf	125	14	k	k	PROPN
cord-314725-og0ybfzf	125	15	,	,	PUNCT
cord-314725-og0ybfzf	125	16	its	its	PRON
cord-314725-og0ybfzf	125	17	absolute	absolute	ADJ
cord-314725-og0ybfzf	125	18	minimum	minimum	NOUN
cord-314725-og0ybfzf	125	19	is	be	AUX
cord-314725-og0ybfzf	125	20	zero	zero	NUM
cord-314725-og0ybfzf	125	21	.	.	PUNCT
cord-314725-og0ybfzf	126	1	on	on	ADP
cord-314725-og0ybfzf	126	2	the	the	DET
cord-314725-og0ybfzf	126	3	other	other	ADJ
cord-314725-og0ybfzf	126	4	hand	hand	NOUN
cord-314725-og0ybfzf	126	5	,	,	PUNCT
cord-314725-og0ybfzf	126	6	the	the	DET
cord-314725-og0ybfzf	126	7	function	function	NOUN
cord-314725-og0ybfzf	126	8	φ	φ	NOUN
cord-314725-og0ybfzf	126	9	attains	attain	VERB
cord-314725-og0ybfzf	126	10	its	its	PRON
cord-314725-og0ybfzf	126	11	minimum	minimum	NOUN
cord-314725-og0ybfzf	126	12	if	if	SCONJ
cord-314725-og0ybfzf	126	13	and	and	CCONJ
cord-314725-og0ybfzf	126	14	only	only	ADV
cord-314725-og0ybfzf	126	15	if	if	SCONJ
cord-314725-og0ybfzf	126	16	k	k	PROPN
cord-314725-og0ybfzf	126	17	=	=	PROPN
cord-314725-og0ybfzf	126	18	0	0	NUM
cord-314725-og0ybfzf	126	19	and	and	CCONJ
cord-314725-og0ybfzf	126	20	δ	δ	PROPN
cord-314725-og0ybfzf	126	21	k	k	PROPN
cord-314725-og0ybfzf	126	22	=	=	X
cord-314725-og0ybfzf	126	23	0	0	NUM
cord-314725-og0ybfzf	126	24	for	for	ADP
cord-314725-og0ybfzf	126	25	all	all	PRON
cord-314725-og0ybfzf	126	26	k	k	PROPN
cord-314725-og0ybfzf	126	27	=	=	SYM
cord-314725-og0ybfzf	126	28	1	1	NUM
cord-314725-og0ybfzf	126	29	,	,	PUNCT
cord-314725-og0ybfzf	126	30	2	2	NUM
cord-314725-og0ybfzf	126	31	,	,	PUNCT
cord-314725-og0ybfzf	126	32	.	.	PUNCT
cord-314725-og0ybfzf	126	33	.	.	PUNCT
cord-314725-og0ybfzf	126	34	.	.	PUNCT
cord-314725-og0ybfzf	127	1	,	,	PUNCT
cord-314725-og0ybfzf	127	2	n	n	ADV
cord-314725-og0ybfzf	127	3	−	−	PROPN
cord-314725-og0ybfzf	127	4	1	1	NUM
cord-314725-og0ybfzf	127	5	.	.	PUNCT
cord-314725-og0ybfzf	128	1	hence	hence	ADV
cord-314725-og0ybfzf	128	2	,	,	PUNCT
cord-314725-og0ybfzf	128	3	there	there	PRON
cord-314725-og0ybfzf	128	4	exists	exist	VERB
cord-314725-og0ybfzf	128	5	one	one	NUM
cord-314725-og0ybfzf	128	6	-	-	PUNCT
cord-314725-og0ybfzf	128	7	to	to	ADP
cord-314725-og0ybfzf	128	8	-	-	PUNCT
cord-314725-og0ybfzf	128	9	one	one	NUM
cord-314725-og0ybfzf	128	10	correspondence	correspondence	NOUN
cord-314725-og0ybfzf	128	11	between	between	ADP
cord-314725-og0ybfzf	128	12	the	the	DET
cord-314725-og0ybfzf	128	13	solution	solution	NOUN
cord-314725-og0ybfzf	128	14	of	of	ADP
cord-314725-og0ybfzf	128	15	the	the	DET
cord-314725-og0ybfzf	128	16	system	system	NOUN
cord-314725-og0ybfzf	128	17	of	of	ADP
cord-314725-og0ybfzf	128	18	equations	equation	NOUN
cord-314725-og0ybfzf	128	19	(	(	PUNCT
cord-314725-og0ybfzf	128	20	8)	8)	NUM
cord-314725-og0ybfzf	128	21	,	,	PUNCT
cord-314725-og0ybfzf	128	22	(	(	PUNCT
cord-314725-og0ybfzf	128	23	9	9	NUM
cord-314725-og0ybfzf	128	24	)	)	PUNCT
cord-314725-og0ybfzf	128	25	,	,	PUNCT
cord-314725-og0ybfzf	128	26	(	(	PUNCT
cord-314725-og0ybfzf	128	27	4	4	NUM
cord-314725-og0ybfzf	128	28	)	)	PUNCT
cord-314725-og0ybfzf	128	29	,	,	PUNCT
cord-314725-og0ybfzf	128	30	(	(	PUNCT
cord-314725-og0ybfzf	128	31	5	5	NUM
cord-314725-og0ybfzf	128	32	)	)	PUNCT
cord-314725-og0ybfzf	128	33	and	and	CCONJ
cord-314725-og0ybfzf	128	34	the	the	DET
cord-314725-og0ybfzf	128	35	problem	problem	NOUN
cord-314725-og0ybfzf	128	36	for	for	ADP
cord-314725-og0ybfzf	128	37	the	the	DET
cord-314725-og0ybfzf	128	38	minimization	minimization	NOUN
cord-314725-og0ybfzf	128	39	of	of	ADP
cord-314725-og0ybfzf	128	40	the	the	DET
cord-314725-og0ybfzf	128	41	function	function	NOUN
cord-314725-og0ybfzf	128	42	φ	φ	NOUN
cord-314725-og0ybfzf	128	43	under	under	ADP
cord-314725-og0ybfzf	128	44	the	the	DET
cord-314725-og0ybfzf	128	45	conditions	condition	NOUN
cord-314725-og0ybfzf	128	46	(	(	PUNCT
cord-314725-og0ybfzf	128	47	4	4	NUM
cord-314725-og0ybfzf	128	48	)	)	PUNCT
cord-314725-og0ybfzf	128	49	and	and	CCONJ
cord-314725-og0ybfzf	128	50	(	(	PUNCT
cord-314725-og0ybfzf	128	51	5	5	NUM
cord-314725-og0ybfzf	128	52	)	)	PUNCT
cord-314725-og0ybfzf	128	53	.	.	PUNCT
cord-314725-og0ybfzf	129	1	the	the	DET
cord-314725-og0ybfzf	129	2	necessary	necessary	ADJ
cord-314725-og0ybfzf	129	3	conditions	condition	NOUN
cord-314725-og0ybfzf	129	4	for	for	ADP
cord-314725-og0ybfzf	129	5	minimization	minimization	NOUN
cord-314725-og0ybfzf	129	6	of	of	ADP
cord-314725-og0ybfzf	129	7	the	the	DET
cord-314725-og0ybfzf	129	8	function	function	NOUN
cord-314725-og0ybfzf	129	9	φ	φ	NOUN
cord-314725-og0ybfzf	129	10	with	with	ADP
cord-314725-og0ybfzf	129	11	respect	respect	NOUN
cord-314725-og0ybfzf	129	12	to	to	ADP
cord-314725-og0ybfzf	129	13	its	its	PRON
cord-314725-og0ybfzf	129	14	arguments	argument	NOUN
cord-314725-og0ybfzf	129	15	s	s	PROPN
cord-314725-og0ybfzf	129	16	k	k	PROPN
cord-314725-og0ybfzf	130	1	and	and	CCONJ
cord-314725-og0ybfzf	130	2	i	i	PRON
cord-314725-og0ybfzf	130	3	k	k	PROPN
cord-314725-og0ybfzf	130	4	are	be	AUX
cord-314725-og0ybfzf	130	5	conditions	condition	NOUN
cord-314725-og0ybfzf	130	6	(	(	PUNCT
cord-314725-og0ybfzf	130	7	11	11	NUM
cord-314725-og0ybfzf	130	8	)	)	PUNCT
cord-314725-og0ybfzf	130	9	yield	yield	VERB
cord-314725-og0ybfzf	130	10	the	the	DET
cord-314725-og0ybfzf	130	11	following	follow	VERB
cord-314725-og0ybfzf	130	12	difference	difference	NOUN
cord-314725-og0ybfzf	130	13	equations	equation	NOUN
cord-314725-og0ybfzf	130	14	for	for	ADP
cord-314725-og0ybfzf	130	15	k	k	PROPN
cord-314725-og0ybfzf	130	16	=	=	SYM
cord-314725-og0ybfzf	130	17	1	1	NUM
cord-314725-og0ybfzf	130	18	,	,	PUNCT
cord-314725-og0ybfzf	130	19	2	2	NUM
cord-314725-og0ybfzf	130	20	,	,	PUNCT
cord-314725-og0ybfzf	130	21	.	.	PUNCT
cord-314725-og0ybfzf	130	22	.	.	PUNCT
cord-314725-og0ybfzf	130	23	.	.	PUNCT
cord-314725-og0ybfzf	131	1	,	,	PUNCT
cord-314725-og0ybfzf	131	2	n	n	ADV
cord-314725-og0ybfzf	131	3	−	−	PROPN
cord-314725-og0ybfzf	131	4	1	1	NUM
cord-314725-og0ybfzf	131	5	.	.	PUNCT
cord-314725-og0ybfzf	132	1	adding	add	VERB
cord-314725-og0ybfzf	132	2	the	the	DET
cord-314725-og0ybfzf	132	3	initial	initial	ADJ
cord-314725-og0ybfzf	132	4	and	and	CCONJ
cord-314725-og0ybfzf	132	5	terminal	terminal	ADJ
cord-314725-og0ybfzf	132	6	conditions	condition	NOUN
cord-314725-og0ybfzf	132	7	(	(	PUNCT
cord-314725-og0ybfzf	132	8	4	4	NUM
cord-314725-og0ybfzf	132	9	)	)	PUNCT
cord-314725-og0ybfzf	132	10	and	and	CCONJ
cord-314725-og0ybfzf	132	11	(	(	PUNCT
cord-314725-og0ybfzf	132	12	5	5	X
cord-314725-og0ybfzf	132	13	)	)	PUNCT
cord-314725-og0ybfzf	132	14	,	,	PUNCT
cord-314725-og0ybfzf	132	15	we	we	PRON
cord-314725-og0ybfzf	132	16	obtain	obtain	VERB
cord-314725-og0ybfzf	132	17	a	a	DET
cord-314725-og0ybfzf	132	18	well	well	ADV
cord-314725-og0ybfzf	132	19	-	-	PUNCT
cord-314725-og0ybfzf	132	20	posed	pose	VERB
cord-314725-og0ybfzf	132	21	linear	linear	ADJ
cord-314725-og0ybfzf	132	22	system	system	NOUN
cord-314725-og0ybfzf	132	23	of	of	ADP
cord-314725-og0ybfzf	132	24	2(n	2(n	NUM
cord-314725-og0ybfzf	132	25	+	+	SYM
cord-314725-og0ybfzf	132	26	1	1	NUM
cord-314725-og0ybfzf	132	27	)	)	PUNCT
cord-314725-og0ybfzf	132	28	equations	equation	NOUN
cord-314725-og0ybfzf	132	29	for	for	ADP
cord-314725-og0ybfzf	132	30	the	the	DET
cord-314725-og0ybfzf	132	31	unknown	unknown	ADJ
cord-314725-og0ybfzf	132	32	sets	set	NOUN
cord-314725-og0ybfzf	132	33	of	of	ADP
cord-314725-og0ybfzf	132	34	values	value	NOUN
cord-314725-og0ybfzf	132	35	(	(	PUNCT
cord-314725-og0ybfzf	132	36	s	s	PROPN
cord-314725-og0ybfzf	132	37	0	0	NUM
cord-314725-og0ybfzf	132	38	,	,	PUNCT
cord-314725-og0ybfzf	132	39	s	s	NUM
cord-314725-og0ybfzf	132	40	1	1	NUM
cord-314725-og0ybfzf	132	41	,	,	PUNCT
cord-314725-og0ybfzf	132	42	s	s	NUM
cord-314725-og0ybfzf	132	43	2	2	NUM
cord-314725-og0ybfzf	132	44	,	,	PUNCT
cord-314725-og0ybfzf	132	45	.	.	PUNCT
cord-314725-og0ybfzf	132	46	.	.	PUNCT
cord-314725-og0ybfzf	132	47	.	.	PUNCT
cord-314725-og0ybfzf	133	1	,	,	PUNCT
cord-314725-og0ybfzf	133	2	s	s	PROPN
cord-314725-og0ybfzf	133	3	n	n	NOUN
cord-314725-og0ybfzf	133	4	)	)	PUNCT
cord-314725-og0ybfzf	134	1	and	and	CCONJ
cord-314725-og0ybfzf	134	2	(	(	PUNCT
cord-314725-og0ybfzf	134	3	i	i	NOUN
cord-314725-og0ybfzf	134	4	0	0	NUM
cord-314725-og0ybfzf	134	5	,	,	PUNCT
cord-314725-og0ybfzf	134	6	i	i	PRON
cord-314725-og0ybfzf	134	7	1	1	NUM
cord-314725-og0ybfzf	134	8	,	,	PUNCT
cord-314725-og0ybfzf	134	9	i	i	PRON
cord-314725-og0ybfzf	134	10	2	2	NUM
cord-314725-og0ybfzf	134	11	,	,	PUNCT
cord-314725-og0ybfzf	134	12	.	.	PUNCT
cord-314725-og0ybfzf	134	13	.	.	PUNCT
cord-314725-og0ybfzf	134	14	.	.	PUNCT
cord-314725-og0ybfzf	135	1	,	,	PUNCT
cord-314725-og0ybfzf	135	2	i	i	PRON
cord-314725-og0ybfzf	135	3	n	n	ADV
cord-314725-og0ybfzf	135	4	)	)	PUNCT
cord-314725-og0ybfzf	135	5	.	.	PUNCT
cord-314725-og0ybfzf	136	1	we	we	PRON
cord-314725-og0ybfzf	136	2	rewrite	rewrite	VERB
cord-314725-og0ybfzf	136	3	the	the	DET
cord-314725-og0ybfzf	136	4	function	function	NOUN
cord-314725-og0ybfzf	136	5	φ	φ	NOUN
cord-314725-og0ybfzf	136	6	in	in	ADP
cord-314725-og0ybfzf	136	7	the	the	DET
cord-314725-og0ybfzf	136	8	form	form	NOUN
cord-314725-og0ybfzf	136	9	where	where	SCONJ
cord-314725-og0ybfzf	136	10	the	the	DET
cord-314725-og0ybfzf	136	11	necessary	necessary	ADJ
cord-314725-og0ybfzf	136	12	conditions	condition	NOUN
cord-314725-og0ybfzf	136	13	for	for	ADP
cord-314725-og0ybfzf	136	14	minimization	minimization	NOUN
cord-314725-og0ybfzf	136	15	of	of	ADP
cord-314725-og0ybfzf	136	16	the	the	DET
cord-314725-og0ybfzf	136	17	function	function	NOUN
cord-314725-og0ybfzf	136	18	φ	φ	NOUN
cord-314725-og0ybfzf	136	19	with	with	ADP
cord-314725-og0ybfzf	136	20	respect	respect	NOUN
cord-314725-og0ybfzf	136	21	to	to	ADP
cord-314725-og0ybfzf	136	22	a	a	PRON
cord-314725-og0ybfzf	136	23	and	and	CCONJ
cord-314725-og0ybfzf	136	24	b	b	NOUN
cord-314725-og0ybfzf	136	25	are	be	AUX
cord-314725-og0ybfzf	136	26	as	as	ADV
cord-314725-og0ybfzf	136	27	follow	follow	VERB
cord-314725-og0ybfzf	136	28	the	the	DET
cord-314725-og0ybfzf	136	29	solution	solution	NOUN
cord-314725-og0ybfzf	136	30	of	of	ADP
cord-314725-og0ybfzf	136	31	the	the	DET
cord-314725-og0ybfzf	136	32	system	system	NOUN
cord-314725-og0ybfzf	136	33	(	(	PUNCT
cord-314725-og0ybfzf	136	34	21	21	NUM
cord-314725-og0ybfzf	136	35	)	)	PUNCT
cord-314725-og0ybfzf	136	36	,	,	PUNCT
cord-314725-og0ybfzf	136	37	(	(	PUNCT
cord-314725-og0ybfzf	136	38	22	22	NUM
cord-314725-og0ybfzf	136	39	)	)	PUNCT
cord-314725-og0ybfzf	136	40	is	be	AUX
cord-314725-og0ybfzf	136	41	let	let	VERB
cord-314725-og0ybfzf	136	42	us	we	PRON
cord-314725-og0ybfzf	136	43	assume	assume	VERB
cord-314725-og0ybfzf	136	44	that	that	SCONJ
cord-314725-og0ybfzf	136	45	the	the	DET
cord-314725-og0ybfzf	136	46	number	number	NOUN
cord-314725-og0ybfzf	136	47	of	of	ADP
cord-314725-og0ybfzf	136	48	infectious	infectious	ADJ
cord-314725-og0ybfzf	136	49	individuals	individual	NOUN
cord-314725-og0ybfzf	136	50	at	at	ADP
cord-314725-og0ybfzf	136	51	some	some	DET
cord-314725-og0ybfzf	136	52	time	time	NOUN
cord-314725-og0ybfzf	136	53	moments	moment	VERB
cord-314725-og0ybfzf	136	54	ν	ν	PROPN
cord-314725-og0ybfzf	136	55	1	1	NUM
cord-314725-og0ybfzf	136	56	,	,	PUNCT
cord-314725-og0ybfzf	136	57	ν	ν	NOUN
cord-314725-og0ybfzf	136	58	2	2	NUM
cord-314725-og0ybfzf	136	59	,	,	PUNCT
cord-314725-og0ybfzf	136	60	.	.	PUNCT
cord-314725-og0ybfzf	136	61	.	.	PUNCT
cord-314725-og0ybfzf	136	62	.	.	PUNCT
cord-314725-og0ybfzf	137	1	,	,	PUNCT
cord-314725-og0ybfzf	137	2	ν	ν	PRON
cord-314725-og0ybfzf	137	3	m	m	VERB
cord-314725-og0ybfzf	137	4	,	,	PUNCT
cord-314725-og0ybfzf	137	5	is	be	AUX
cord-314725-og0ybfzf	137	6	known	know	VERB
cord-314725-og0ybfzf	137	7	and	and	CCONJ
cord-314725-og0ybfzf	137	8	given	give	VERB
cord-314725-og0ybfzf	137	9	by	by	ADP
cord-314725-og0ybfzf	137	10	for	for	ADP
cord-314725-og0ybfzf	137	11	l	l	PROPN
cord-314725-og0ybfzf	137	12	=	=	NOUN
cord-314725-og0ybfzf	137	13	1	1	NUM
cord-314725-og0ybfzf	137	14	,	,	PUNCT
cord-314725-og0ybfzf	137	15	2	2	NUM
cord-314725-og0ybfzf	137	16	,	,	PUNCT
cord-314725-og0ybfzf	137	17	.	.	PUNCT
cord-314725-og0ybfzf	137	18	.	.	PUNCT
cord-314725-og0ybfzf	137	19	.	.	PUNCT
cord-314725-og0ybfzf	138	1	,	,	PUNCT
cord-314725-og0ybfzf	138	2	m	m	X
cord-314725-og0ybfzf	138	3	,	,	PUNCT
cord-314725-og0ybfzf	138	4	while	while	SCONJ
cord-314725-og0ybfzf	138	5	the	the	DET
cord-314725-og0ybfzf	138	6	values	value	NOUN
cord-314725-og0ybfzf	138	7	of	of	ADP
cord-314725-og0ybfzf	138	8	the	the	DET
cord-314725-og0ybfzf	138	9	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	138	10	a	a	PRON
cord-314725-og0ybfzf	138	11	and	and	CCONJ
cord-314725-og0ybfzf	138	12	b	b	NOUN
cord-314725-og0ybfzf	138	13	are	be	AUX
cord-314725-og0ybfzf	138	14	unknown	unknown	ADJ
cord-314725-og0ybfzf	138	15	.	.	PUNCT
cord-314725-og0ybfzf	139	1	suppose	suppose	VERB
cord-314725-og0ybfzf	139	2	that	that	SCONJ
cord-314725-og0ybfzf	139	3	for	for	ADP
cord-314725-og0ybfzf	139	4	every	every	DET
cord-314725-og0ybfzf	139	5	1	1	NUM
cord-314725-og0ybfzf	139	6	≤	≤	NOUN
cord-314725-og0ybfzf	139	7	l	l	NOUN
cord-314725-og0ybfzf	139	8	≤	≤	PROPN
cord-314725-og0ybfzf	139	9	m	m	VERB
cord-314725-og0ybfzf	139	10	,	,	PUNCT
cord-314725-og0ybfzf	139	11	there	there	PRON
cord-314725-og0ybfzf	139	12	exists	exist	VERB
cord-314725-og0ybfzf	139	13	index	index	NOUN
cord-314725-og0ybfzf	139	14	k	k	PROPN
cord-314725-og0ybfzf	139	15	l	l	PROPN
cord-314725-og0ybfzf	139	16	,	,	PUNCT
cord-314725-og0ybfzf	139	17	such	such	ADJ
cord-314725-og0ybfzf	139	18	that	that	SCONJ
cord-314725-og0ybfzf	139	19	ν	ν	PROPN
cord-314725-og0ybfzf	139	20	l	l	PROPN
cord-314725-og0ybfzf	139	21	=	=	SYM
cord-314725-og0ybfzf	139	22	t	t	NOUN
cord-314725-og0ybfzf	139	23	k	k	PROPN
cord-314725-og0ybfzf	139	24	l	l	PROPN
cord-314725-og0ybfzf	139	25	,	,	PUNCT
cord-314725-og0ybfzf	139	26	i.e.	i.e.	X
cord-314725-og0ybfzf	139	27	,	,	PUNCT
cord-314725-og0ybfzf	139	28	the	the	DET
cord-314725-og0ybfzf	139	29	set	set	NOUN
cord-314725-og0ybfzf	139	30	of	of	ADP
cord-314725-og0ybfzf	139	31	time	time	NOUN
cord-314725-og0ybfzf	139	32	moments	moment	NOUN
cord-314725-og0ybfzf	139	33	{	{	PUNCT
cord-314725-og0ybfzf	139	34	ν	ν	PROPN
cord-314725-og0ybfzf	139	35	1	1	NUM
cord-314725-og0ybfzf	139	36	,	,	PUNCT
cord-314725-og0ybfzf	139	37	ν	ν	NOUN
cord-314725-og0ybfzf	139	38	2	2	NUM
cord-314725-og0ybfzf	139	39	,	,	PUNCT
cord-314725-og0ybfzf	139	40	.	.	PUNCT
cord-314725-og0ybfzf	139	41	.	.	PUNCT
cord-314725-og0ybfzf	139	42	.	.	PUNCT
cord-314725-og0ybfzf	140	1	,	,	PUNCT
cord-314725-og0ybfzf	140	2	ν	ν	PRON
cord-314725-og0ybfzf	140	3	m	m	VERB
cord-314725-og0ybfzf	140	4	}	}	PUNCT
cord-314725-og0ybfzf	140	5	,	,	PUNCT
cord-314725-og0ybfzf	140	6	is	be	AUX
cord-314725-og0ybfzf	140	7	a	a	DET
cord-314725-og0ybfzf	140	8	subset	subset	NOUN
cord-314725-og0ybfzf	140	9	of	of	ADP
cord-314725-og0ybfzf	140	10	the	the	DET
cord-314725-og0ybfzf	140	11	set	set	NOUN
cord-314725-og0ybfzf	140	12	of	of	ADP
cord-314725-og0ybfzf	140	13	mesh	mesh	NOUN
cord-314725-og0ybfzf	140	14	nodes	node	NOUN
cord-314725-og0ybfzf	140	15	{	{	PUNCT
cord-314725-og0ybfzf	140	16	t	t	PROPN
cord-314725-og0ybfzf	140	17	0	0	NUM
cord-314725-og0ybfzf	140	18	,	,	PUNCT
cord-314725-og0ybfzf	140	19	t	t	NOUN
cord-314725-og0ybfzf	140	20	1	1	NUM
cord-314725-og0ybfzf	140	21	,	,	PUNCT
cord-314725-og0ybfzf	140	22	t	t	NOUN
cord-314725-og0ybfzf	140	23	2	2	NUM
cord-314725-og0ybfzf	140	24	,	,	PUNCT
cord-314725-og0ybfzf	140	25	.	.	PUNCT
cord-314725-og0ybfzf	140	26	.	.	PUNCT
cord-314725-og0ybfzf	140	27	.	.	PUNCT
cord-314725-og0ybfzf	141	1	,	,	PUNCT
cord-314725-og0ybfzf	141	2	t	t	NOUN
cord-314725-og0ybfzf	141	3	n	n	NOUN
cord-314725-og0ybfzf	141	4	}	}	PUNCT
cord-314725-og0ybfzf	141	5	.	.	PUNCT
cord-314725-og0ybfzf	142	1	to	to	PART
cord-314725-og0ybfzf	142	2	simplify	simplify	VERB
cord-314725-og0ybfzf	142	3	the	the	DET
cord-314725-og0ybfzf	142	4	calculations	calculation	NOUN
cord-314725-og0ybfzf	142	5	,	,	PUNCT
cord-314725-og0ybfzf	142	6	let	let	VERB
cord-314725-og0ybfzf	142	7	us	we	PRON
cord-314725-og0ybfzf	142	8	introduce	introduce	VERB
cord-314725-og0ybfzf	142	9	the	the	DET
cord-314725-og0ybfzf	142	10	notations	notation	NOUN
cord-314725-og0ybfzf	142	11	χ	χ	X
cord-314725-og0ybfzf	142	12	k	k	PROPN
cord-314725-og0ybfzf	142	13	such	such	ADJ
cord-314725-og0ybfzf	142	14	as	as	ADP
cord-314725-og0ybfzf	142	15	:	:	PUNCT
cord-314725-og0ybfzf	142	16	if	if	SCONJ
cord-314725-og0ybfzf	142	17	there	there	PRON
cord-314725-og0ybfzf	142	18	exists	exist	VERB
cord-314725-og0ybfzf	142	19	k	k	PROPN
cord-314725-og0ybfzf	142	20	∈	∈	PROPN
cord-314725-og0ybfzf	142	21	{	{	PUNCT
cord-314725-og0ybfzf	142	22	0	0	NUM
cord-314725-og0ybfzf	142	23	,	,	PUNCT
cord-314725-og0ybfzf	142	24	1	1	NUM
cord-314725-og0ybfzf	142	25	,	,	PUNCT
cord-314725-og0ybfzf	142	26	2	2	NUM
cord-314725-og0ybfzf	142	27	,	,	PUNCT
cord-314725-og0ybfzf	142	28	.	.	PUNCT
cord-314725-og0ybfzf	142	29	.	.	PUNCT
cord-314725-og0ybfzf	142	30	.	.	PUNCT
cord-314725-og0ybfzf	143	1	,	,	PUNCT
cord-314725-og0ybfzf	143	2	n	n	X
cord-314725-og0ybfzf	143	3	}	}	PUNCT
cord-314725-og0ybfzf	143	4	such	such	ADJ
cord-314725-og0ybfzf	143	5	that	that	SCONJ
cord-314725-og0ybfzf	143	6	t	t	PROPN
cord-314725-og0ybfzf	143	7	k	k	PROPN
cord-314725-og0ybfzf	143	8	=	=	PRON
cord-314725-og0ybfzf	143	9	ν	ν	PROPN
cord-314725-og0ybfzf	143	10	l	l	PROPN
cord-314725-og0ybfzf	143	11	,	,	PUNCT
cord-314725-og0ybfzf	143	12	1	1	NUM
cord-314725-og0ybfzf	143	13	≤	≤	NOUN
cord-314725-og0ybfzf	144	1	l	l	PROPN
cord-314725-og0ybfzf	144	2	≤	≤	PROPN
cord-314725-og0ybfzf	144	3	m	m	VERB
cord-314725-og0ybfzf	144	4	,	,	PUNCT
cord-314725-og0ybfzf	144	5	then	then	ADV
cord-314725-og0ybfzf	144	6	χ	χ	PROPN
cord-314725-og0ybfzf	144	7	k	k	PROPN
cord-314725-og0ybfzf	144	8	=	=	X
cord-314725-og0ybfzf	144	9	σ	σ	PROPN
cord-314725-og0ybfzf	144	10	l	l	PROPN
cord-314725-og0ybfzf	144	11	and	and	CCONJ
cord-314725-og0ybfzf	144	12	µ	µ	PROPN
cord-314725-og0ybfzf	144	13	k	k	PROPN
cord-314725-og0ybfzf	144	14	>	>	PUNCT
cord-314725-og0ybfzf	144	15	0	0	NUM
cord-314725-og0ybfzf	144	16	,	,	PUNCT
cord-314725-og0ybfzf	144	17	otherwise	otherwise	ADV
cord-314725-og0ybfzf	144	18	χ	χ	PROPN
cord-314725-og0ybfzf	144	19	k	k	PROPN
cord-314725-og0ybfzf	144	20	=	=	SYM
cord-314725-og0ybfzf	144	21	0	0	NUM
cord-314725-og0ybfzf	144	22	and	and	CCONJ
cord-314725-og0ybfzf	144	23	µ	µ	PROPN
cord-314725-og0ybfzf	144	24	k	k	PROPN
cord-314725-og0ybfzf	144	25	=	=	NOUN
cord-314725-og0ybfzf	144	26	0	0	NUM
cord-314725-og0ybfzf	144	27	,	,	PUNCT
cord-314725-og0ybfzf	144	28	where	where	SCONJ
cord-314725-og0ybfzf	144	29	µ	µ	PROPN
cord-314725-og0ybfzf	144	30	k	k	PROPN
cord-314725-og0ybfzf	144	31	is	be	AUX
cord-314725-og0ybfzf	144	32	the	the	DET
cord-314725-og0ybfzf	144	33	weight	weight	NOUN
cord-314725-og0ybfzf	144	34	of	of	ADP
cord-314725-og0ybfzf	144	35	equation	equation	NOUN
cord-314725-og0ybfzf	144	36	(	(	PUNCT
cord-314725-og0ybfzf	144	37	25	25	NUM
cord-314725-og0ybfzf	144	38	)	)	PUNCT
cord-314725-og0ybfzf	144	39	in	in	ADP
cord-314725-og0ybfzf	144	40	the	the	DET
cord-314725-og0ybfzf	144	41	lsm	lsm	PROPN
cord-314725-og0ybfzf	144	42	.	.	PUNCT
cord-314725-og0ybfzf	145	1	similarly	similarly	ADV
cord-314725-og0ybfzf	145	2	to	to	ADP
cord-314725-og0ybfzf	145	3	subsection	subsection	NOUN
cord-314725-og0ybfzf	145	4	3.1	3.1	NUM
cord-314725-og0ybfzf	145	5	,	,	PUNCT
cord-314725-og0ybfzf	145	6	consider	consider	VERB
cord-314725-og0ybfzf	145	7	the	the	DET
cord-314725-og0ybfzf	145	8	function	function	NOUN
cord-314725-og0ybfzf	145	9	where	where	SCONJ
cord-314725-og0ybfzf	145	10	k	k	PROPN
cord-314725-og0ybfzf	145	11	and	and	CCONJ
cord-314725-og0ybfzf	145	12	δ	δ	PROPN
cord-314725-og0ybfzf	145	13	k	k	PROPN
cord-314725-og0ybfzf	145	14	are	be	AUX
cord-314725-og0ybfzf	145	15	the	the	DET
cord-314725-og0ybfzf	145	16	residuals	residual	NOUN
cord-314725-og0ybfzf	145	17	of	of	ADP
cord-314725-og0ybfzf	145	18	the	the	DET
cord-314725-og0ybfzf	145	19	equations	equation	NOUN
cord-314725-og0ybfzf	145	20	(	(	PUNCT
cord-314725-og0ybfzf	145	21	8)	8)	NUM
cord-314725-og0ybfzf	145	22	and	and	CCONJ
cord-314725-og0ybfzf	145	23	(	(	PUNCT
cord-314725-og0ybfzf	145	24	9	9	NUM
cord-314725-og0ybfzf	145	25	)	)	PUNCT
cord-314725-og0ybfzf	145	26	,	,	PUNCT
cord-314725-og0ybfzf	145	27	respectively	respectively	ADV
cord-314725-og0ybfzf	145	28	.	.	PUNCT
cord-314725-og0ybfzf	146	1	the	the	DET
cord-314725-og0ybfzf	146	2	necessary	necessary	ADJ
cord-314725-og0ybfzf	146	3	conditions	condition	NOUN
cord-314725-og0ybfzf	146	4	for	for	ADP
cord-314725-og0ybfzf	146	5	minimizations	minimization	NOUN
cord-314725-og0ybfzf	146	6	of	of	ADP
cord-314725-og0ybfzf	146	7	the	the	DET
cord-314725-og0ybfzf	146	8	function	function	NOUN
cord-314725-og0ybfzf	146	9	φ	φ	NOUN
cord-314725-og0ybfzf	146	10	with	with	ADP
cord-314725-og0ybfzf	146	11	respect	respect	NOUN
cord-314725-og0ybfzf	146	12	to	to	ADP
cord-314725-og0ybfzf	146	13	s	s	PROPN
cord-314725-og0ybfzf	146	14	k	k	PROPN
cord-314725-og0ybfzf	146	15	and	and	CCONJ
cord-314725-og0ybfzf	146	16	i	i	PRON
cord-314725-og0ybfzf	146	17	k	k	PROPN
cord-314725-og0ybfzf	146	18	are	be	AUX
cord-314725-og0ybfzf	146	19	given	give	VERB
cord-314725-og0ybfzf	146	20	by	by	ADP
cord-314725-og0ybfzf	146	21	equations	equation	NOUN
cord-314725-og0ybfzf	146	22	(	(	PUNCT
cord-314725-og0ybfzf	146	23	11	11	NUM
cord-314725-og0ybfzf	146	24	)	)	PUNCT
cord-314725-og0ybfzf	146	25	.	.	PUNCT
cord-314725-og0ybfzf	147	1	for	for	ADP
cord-314725-og0ybfzf	147	2	the	the	DET
cord-314725-og0ybfzf	147	3	case	case	NOUN
cord-314725-og0ybfzf	147	4	under	under	ADP
cord-314725-og0ybfzf	147	5	consideration	consideration	NOUN
cord-314725-og0ybfzf	147	6	,	,	PUNCT
cord-314725-og0ybfzf	147	7	we	we	PRON
cord-314725-og0ybfzf	147	8	obtain	obtain	VERB
cord-314725-og0ybfzf	147	9	for	for	ADP
cord-314725-og0ybfzf	147	10	k	k	PROPN
cord-314725-og0ybfzf	147	11	=	=	SYM
cord-314725-og0ybfzf	147	12	1	1	NUM
cord-314725-og0ybfzf	147	13	,	,	PUNCT
cord-314725-og0ybfzf	147	14	2	2	NUM
cord-314725-og0ybfzf	147	15	,	,	PUNCT
cord-314725-og0ybfzf	147	16	.	.	PUNCT
cord-314725-og0ybfzf	147	17	.	.	PUNCT
cord-314725-og0ybfzf	147	18	.	.	PUNCT
cord-314725-og0ybfzf	148	1	,	,	PUNCT
cord-314725-og0ybfzf	148	2	n	n	ADV
cord-314725-og0ybfzf	148	3	−	−	PROPN
cord-314725-og0ybfzf	148	4	1	1	NUM
cord-314725-og0ybfzf	148	5	.	.	PUNCT
cord-314725-og0ybfzf	149	1	adding	add	VERB
cord-314725-og0ybfzf	149	2	the	the	DET
cord-314725-og0ybfzf	149	3	initial	initial	ADJ
cord-314725-og0ybfzf	149	4	and	and	CCONJ
cord-314725-og0ybfzf	149	5	terminal	terminal	ADJ
cord-314725-og0ybfzf	149	6	conditions	condition	NOUN
cord-314725-og0ybfzf	149	7	(	(	PUNCT
cord-314725-og0ybfzf	149	8	4	4	NUM
cord-314725-og0ybfzf	149	9	)	)	PUNCT
cord-314725-og0ybfzf	149	10	,	,	PUNCT
cord-314725-og0ybfzf	149	11	(	(	PUNCT
cord-314725-og0ybfzf	149	12	5	5	X
cord-314725-og0ybfzf	149	13	)	)	PUNCT
cord-314725-og0ybfzf	149	14	,	,	PUNCT
cord-314725-og0ybfzf	149	15	we	we	PRON
cord-314725-og0ybfzf	149	16	obtain	obtain	VERB
cord-314725-og0ybfzf	149	17	a	a	DET
cord-314725-og0ybfzf	149	18	well	well	ADV
cord-314725-og0ybfzf	149	19	-	-	PUNCT
cord-314725-og0ybfzf	149	20	posed	pose	VERB
cord-314725-og0ybfzf	149	21	linear	linear	ADJ
cord-314725-og0ybfzf	149	22	system	system	NOUN
cord-314725-og0ybfzf	149	23	with	with	ADP
cord-314725-og0ybfzf	149	24	2(n	2(n	NUM
cord-314725-og0ybfzf	149	25	+	+	SYM
cord-314725-og0ybfzf	149	26	1	1	NUM
cord-314725-og0ybfzf	149	27	)	)	PUNCT
cord-314725-og0ybfzf	149	28	equations	equation	NOUN
cord-314725-og0ybfzf	149	29	for	for	ADP
cord-314725-og0ybfzf	149	30	the	the	DET
cord-314725-og0ybfzf	149	31	unknown	unknown	ADJ
cord-314725-og0ybfzf	149	32	set	set	NOUN
cord-314725-og0ybfzf	149	33	of	of	ADP
cord-314725-og0ybfzf	149	34	values	value	NOUN
cord-314725-og0ybfzf	149	35	(	(	PUNCT
cord-314725-og0ybfzf	149	36	s	s	PROPN
cord-314725-og0ybfzf	149	37	0	0	NUM
cord-314725-og0ybfzf	149	38	,	,	PUNCT
cord-314725-og0ybfzf	149	39	s	s	NUM
cord-314725-og0ybfzf	149	40	1	1	NUM
cord-314725-og0ybfzf	149	41	,	,	PUNCT
cord-314725-og0ybfzf	149	42	s	s	NUM
cord-314725-og0ybfzf	149	43	2	2	NUM
cord-314725-og0ybfzf	149	44	,	,	PUNCT
cord-314725-og0ybfzf	149	45	.	.	PUNCT
cord-314725-og0ybfzf	149	46	.	.	PUNCT
cord-314725-og0ybfzf	149	47	.	.	PUNCT
cord-314725-og0ybfzf	150	1	,	,	PUNCT
cord-314725-og0ybfzf	150	2	s	s	PROPN
cord-314725-og0ybfzf	150	3	n	n	NOUN
cord-314725-og0ybfzf	150	4	)	)	PUNCT
cord-314725-og0ybfzf	151	1	and	and	CCONJ
cord-314725-og0ybfzf	151	2	(	(	PUNCT
cord-314725-og0ybfzf	151	3	i	i	NOUN
cord-314725-og0ybfzf	151	4	0	0	NUM
cord-314725-og0ybfzf	151	5	,	,	PUNCT
cord-314725-og0ybfzf	151	6	i	i	PRON
cord-314725-og0ybfzf	151	7	1	1	NUM
cord-314725-og0ybfzf	151	8	,	,	PUNCT
cord-314725-og0ybfzf	151	9	i	i	PRON
cord-314725-og0ybfzf	151	10	2	2	NUM
cord-314725-og0ybfzf	151	11	,	,	PUNCT
cord-314725-og0ybfzf	151	12	.	.	PUNCT
cord-314725-og0ybfzf	151	13	.	.	PUNCT
cord-314725-og0ybfzf	151	14	.	.	PUNCT
cord-314725-og0ybfzf	152	1	,	,	PUNCT
cord-314725-og0ybfzf	152	2	i	i	PRON
cord-314725-og0ybfzf	152	3	n	n	NOUN
cord-314725-og0ybfzf	152	4	)	)	PUNCT
cord-314725-og0ybfzf	152	5	.	.	PUNCT
cord-314725-og0ybfzf	153	1	the	the	DET
cord-314725-og0ybfzf	153	2	equations	equation	NOUN
cord-314725-og0ybfzf	153	3	for	for	ADP
cord-314725-og0ybfzf	153	4	a	a	PRON
cord-314725-og0ybfzf	153	5	and	and	CCONJ
cord-314725-og0ybfzf	153	6	b	b	NOUN
cord-314725-og0ybfzf	153	7	in	in	ADP
cord-314725-og0ybfzf	153	8	this	this	DET
cord-314725-og0ybfzf	153	9	case	case	NOUN
cord-314725-og0ybfzf	153	10	are	be	AUX
cord-314725-og0ybfzf	153	11	the	the	DET
cord-314725-og0ybfzf	153	12	same	same	ADJ
cord-314725-og0ybfzf	153	13	as	as	ADP
cord-314725-og0ybfzf	153	14	the	the	DET
cord-314725-og0ybfzf	153	15	equations	equation	NOUN
cord-314725-og0ybfzf	153	16	(	(	PUNCT
cord-314725-og0ybfzf	153	17	23	23	NUM
cord-314725-og0ybfzf	153	18	)	)	PUNCT
cord-314725-og0ybfzf	153	19	and	and	CCONJ
cord-314725-og0ybfzf	153	20	(	(	PUNCT
cord-314725-og0ybfzf	153	21	24	24	NUM
cord-314725-og0ybfzf	153	22	)	)	PUNCT
cord-314725-og0ybfzf	153	23	,	,	PUNCT
cord-314725-og0ybfzf	153	24	derived	derive	VERB
cord-314725-og0ybfzf	153	25	in	in	ADP
cord-314725-og0ybfzf	153	26	subsection	subsection	NOUN
cord-314725-og0ybfzf	153	27	3.1.2	3.1.2	NUM
cord-314725-og0ybfzf	153	28	.	.	PUNCT
cord-314725-og0ybfzf	154	1	we	we	PRON
cord-314725-og0ybfzf	154	2	use	use	VERB
cord-314725-og0ybfzf	154	3	the	the	DET
cord-314725-og0ybfzf	154	4	following	following	ADJ
cord-314725-og0ybfzf	154	5	approach	approach	NOUN
cord-314725-og0ybfzf	154	6	for	for	ADP
cord-314725-og0ybfzf	154	7	solving	solve	VERB
cord-314725-og0ybfzf	154	8	the	the	DET
cord-314725-og0ybfzf	154	9	system	system	NOUN
cord-314725-og0ybfzf	154	10	(	(	PUNCT
cord-314725-og0ybfzf	154	11	12	12	NUM
cord-314725-og0ybfzf	154	12	)	)	PUNCT
cord-314725-og0ybfzf	154	13	,	,	PUNCT
cord-314725-og0ybfzf	154	14	(	(	PUNCT
cord-314725-og0ybfzf	154	15	13	13	NUM
cord-314725-og0ybfzf	154	16	)	)	PUNCT
cord-314725-og0ybfzf	154	17	,	,	PUNCT
cord-314725-og0ybfzf	154	18	(	(	PUNCT
cord-314725-og0ybfzf	154	19	4	4	NUM
cord-314725-og0ybfzf	154	20	)	)	PUNCT
cord-314725-og0ybfzf	154	21	,	,	PUNCT
cord-314725-og0ybfzf	154	22	(	(	PUNCT
cord-314725-og0ybfzf	154	23	5	5	X
cord-314725-og0ybfzf	154	24	):	):	PUNCT
cord-314725-og0ybfzf	154	25	i	i	NOUN
cord-314725-og0ybfzf	154	26	)	)	PUNCT
cord-314725-og0ybfzf	154	27	with	with	ADP
cord-314725-og0ybfzf	154	28	given	give	VERB
cord-314725-og0ybfzf	154	29	initial	initial	ADJ
cord-314725-og0ybfzf	154	30	values	value	NOUN
cord-314725-og0ybfzf	154	31	forŝ	forŝ	PROPN
cord-314725-og0ybfzf	154	32	,	,	PUNCT
cord-314725-og0ybfzf	154	33	î	î	PROPN
cord-314725-og0ybfzf	154	34	,	,	PUNCT
cord-314725-og0ybfzf	154	35	a	a	DET
cord-314725-og0ybfzf	154	36	,	,	PUNCT
cord-314725-og0ybfzf	154	37	b	b	PROPN
cord-314725-og0ybfzf	154	38	,	,	PUNCT
cord-314725-og0ybfzf	154	39	the	the	DET
cord-314725-og0ybfzf	154	40	system	system	NOUN
cord-314725-og0ybfzf	154	41	(	(	PUNCT
cord-314725-og0ybfzf	154	42	12	12	NUM
cord-314725-og0ybfzf	154	43	)	)	PUNCT
cord-314725-og0ybfzf	154	44	,	,	PUNCT
cord-314725-og0ybfzf	154	45	(	(	PUNCT
cord-314725-og0ybfzf	154	46	13	13	NUM
cord-314725-og0ybfzf	154	47	)	)	PUNCT
cord-314725-og0ybfzf	154	48	,	,	PUNCT
cord-314725-og0ybfzf	154	49	(	(	PUNCT
cord-314725-og0ybfzf	154	50	4	4	NUM
cord-314725-og0ybfzf	154	51	)	)	PUNCT
cord-314725-og0ybfzf	154	52	,	,	PUNCT
cord-314725-og0ybfzf	154	53	(	(	PUNCT
cord-314725-og0ybfzf	154	54	5	5	X
cord-314725-og0ybfzf	154	55	)	)	PUNCT
cord-314725-og0ybfzf	154	56	is	be	AUX
cord-314725-og0ybfzf	154	57	solved	solve	VERB
cord-314725-og0ybfzf	154	58	for	for	ADP
cord-314725-og0ybfzf	154	59	the	the	DET
cord-314725-og0ybfzf	154	60	functions	function	NOUN
cord-314725-og0ybfzf	154	61	s	s	PROPN
cord-314725-og0ybfzf	154	62	and	and	CCONJ
cord-314725-og0ybfzf	154	63	i.	i.	PROPN
cord-314725-og0ybfzf	154	64	ii	ii	PROPN
cord-314725-og0ybfzf	154	65	)	)	PUNCT
cord-314725-og0ybfzf	154	66	the	the	DET
cord-314725-og0ybfzf	154	67	deviation	deviation	NOUN
cord-314725-og0ybfzf	154	68	of	of	ADP
cord-314725-og0ybfzf	154	69	the	the	DET
cord-314725-og0ybfzf	154	70	values	value	NOUN
cord-314725-og0ybfzf	154	71	of	of	ADP
cord-314725-og0ybfzf	154	72	s	s	NOUN
cord-314725-og0ybfzf	154	73	and	and	CCONJ
cord-314725-og0ybfzf	154	74	i	i	PRON
cord-314725-og0ybfzf	154	75	froms	from	VERB
cord-314725-og0ybfzf	154	76	andī	andī	PROPN
cord-314725-og0ybfzf	154	77	are	be	AUX
cord-314725-og0ybfzf	154	78	computed	compute	VERB
cord-314725-og0ybfzf	154	79	as	as	ADP
cord-314725-og0ybfzf	154	80	:	:	PUNCT
cord-314725-og0ybfzf	154	81	if	if	SCONJ
cord-314725-og0ybfzf	154	82	they	they	PRON
cord-314725-og0ybfzf	154	83	are	be	AUX
cord-314725-og0ybfzf	154	84	smaller	small	ADJ
cord-314725-og0ybfzf	154	85	than	than	ADP
cord-314725-og0ybfzf	154	86	a	a	DET
cord-314725-og0ybfzf	154	87	given	give	VERB
cord-314725-og0ybfzf	154	88	tolerance	tolerance	NOUN
cord-314725-og0ybfzf	154	89	ε	ε	NOUN
cord-314725-og0ybfzf	154	90	0	0	NUM
cord-314725-og0ybfzf	154	91	,	,	PUNCT
cord-314725-og0ybfzf	154	92	then	then	ADV
cord-314725-og0ybfzf	154	93	the	the	DET
cord-314725-og0ybfzf	154	94	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	154	95	proceeds	proceed	VERB
cord-314725-og0ybfzf	154	96	to	to	ADP
cord-314725-og0ybfzf	154	97	iii	iii	NUM
cord-314725-og0ybfzf	154	98	)	)	PUNCT
cord-314725-og0ybfzf	154	99	;	;	PUNCT
cord-314725-og0ybfzf	154	100	otherwise	otherwise	ADV
cord-314725-og0ybfzf	154	101	,	,	PUNCT
cord-314725-og0ybfzf	154	102	ŝ	ŝ	DET
cord-314725-og0ybfzf	154	103	andî	andî	NOUN
cord-314725-og0ybfzf	154	104	are	be	AUX
cord-314725-og0ybfzf	154	105	replaced	replace	VERB
cord-314725-og0ybfzf	154	106	by	by	ADP
cord-314725-og0ybfzf	154	107	s	s	PROPN
cord-314725-og0ybfzf	154	108	and	and	CCONJ
cord-314725-og0ybfzf	154	109	i	i	PROPN
cord-314725-og0ybfzf	154	110	,	,	PUNCT
cord-314725-og0ybfzf	154	111	respectively	respectively	ADV
cord-314725-og0ybfzf	154	112	,	,	PUNCT
cord-314725-og0ybfzf	154	113	and	and	CCONJ
cord-314725-og0ybfzf	154	114	the	the	DET
cord-314725-og0ybfzf	154	115	calculations	calculation	NOUN
cord-314725-og0ybfzf	154	116	return	return	VERB
cord-314725-og0ybfzf	154	117	to	to	ADP
cord-314725-og0ybfzf	154	118	i	i	PRON
cord-314725-og0ybfzf	154	119	)	)	PUNCT
cord-314725-og0ybfzf	154	120	;	;	PUNCT
cord-314725-og0ybfzf	154	121	iii	iii	X
cord-314725-og0ybfzf	154	122	)	)	PUNCT
cord-314725-og0ybfzf	154	123	the	the	DET
cord-314725-og0ybfzf	154	124	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	154	125	a	a	PRON
cord-314725-og0ybfzf	154	126	and	and	CCONJ
cord-314725-og0ybfzf	154	127	b	b	NOUN
cord-314725-og0ybfzf	154	128	are	be	AUX
cord-314725-og0ybfzf	154	129	computed	compute	VERB
cord-314725-og0ybfzf	154	130	from	from	ADP
cord-314725-og0ybfzf	154	131	(	(	PUNCT
cord-314725-og0ybfzf	154	132	23	23	NUM
cord-314725-og0ybfzf	154	133	)	)	PUNCT
cord-314725-og0ybfzf	154	134	and	and	CCONJ
cord-314725-og0ybfzf	154	135	(	(	PUNCT
cord-314725-og0ybfzf	154	136	24	24	NUM
cord-314725-og0ybfzf	154	137	)	)	PUNCT
cord-314725-og0ybfzf	154	138	.	.	PUNCT
cord-314725-og0ybfzf	155	1	if	if	SCONJ
cord-314725-og0ybfzf	155	2	the	the	DET
cord-314725-og0ybfzf	155	3	difference	difference	NOUN
cord-314725-og0ybfzf	155	4	between	between	ADP
cord-314725-og0ybfzf	155	5	the	the	DET
cord-314725-og0ybfzf	155	6	new	new	ADJ
cord-314725-og0ybfzf	155	7	and	and	CCONJ
cord-314725-og0ybfzf	155	8	old	old	ADJ
cord-314725-og0ybfzf	155	9	values	value	NOUN
cord-314725-og0ybfzf	155	10	of	of	ADP
cord-314725-og0ybfzf	155	11	a	a	PRON
cord-314725-og0ybfzf	155	12	and	and	CCONJ
cord-314725-og0ybfzf	155	13	b	b	PROPN
cord-314725-og0ybfzf	155	14	is	be	AUX
cord-314725-og0ybfzf	155	15	less	less	ADJ
cord-314725-og0ybfzf	155	16	than	than	ADP
cord-314725-og0ybfzf	155	17	ε	ε	NOUN
cord-314725-og0ybfzf	155	18	0	0	NUM
cord-314725-og0ybfzf	155	19	then	then	ADV
cord-314725-og0ybfzf	155	20	the	the	DET
cord-314725-og0ybfzf	155	21	calculations	calculation	NOUN
cord-314725-og0ybfzf	155	22	terminate	terminate	VERB
cord-314725-og0ybfzf	155	23	;	;	PUNCT
cord-314725-og0ybfzf	155	24	otherwise	otherwise	ADV
cord-314725-og0ybfzf	155	25	,	,	PUNCT
cord-314725-og0ybfzf	155	26	the	the	DET
cord-314725-og0ybfzf	155	27	iterations	iteration	NOUN
cord-314725-og0ybfzf	155	28	continue	continue	VERB
cord-314725-og0ybfzf	155	29	,	,	PUNCT
cord-314725-og0ybfzf	155	30	go	go	VERB
cord-314725-og0ybfzf	155	31	back	back	ADV
cord-314725-og0ybfzf	155	32	to	to	ADP
cord-314725-og0ybfzf	155	33	i	i	PRON
cord-314725-og0ybfzf	155	34	)	)	PUNCT
cord-314725-og0ybfzf	155	35	.	.	PUNCT
cord-314725-og0ybfzf	156	1	we	we	PRON
cord-314725-og0ybfzf	156	2	use	use	VERB
cord-314725-og0ybfzf	156	3	ε	ε	NOUN
cord-314725-og0ybfzf	156	4	0	0	NUM
cord-314725-og0ybfzf	156	5	=	=	SYM
cord-314725-og0ybfzf	156	6	5	5	NUM
cord-314725-og0ybfzf	156	7	·	·	SYM
cord-314725-og0ybfzf	156	8	10	10	NUM
cord-314725-og0ybfzf	156	9	−10	−10	NOUN
cord-314725-og0ybfzf	156	10	in	in	ADP
cord-314725-og0ybfzf	156	11	all	all	DET
cord-314725-og0ybfzf	156	12	calculations	calculation	NOUN
cord-314725-og0ybfzf	156	13	presented	present	VERB
cord-314725-og0ybfzf	156	14	here	here	ADV
cord-314725-og0ybfzf	156	15	.	.	PUNCT
cord-314725-og0ybfzf	157	1	3.4	3.4	NUM
cord-314725-og0ybfzf	157	2	.	.	PUNCT
cord-314725-og0ybfzf	157	3	parameters	parameter	NOUN
cord-314725-og0ybfzf	157	4	a	a	PROPN
cord-314725-og0ybfzf	157	5	,	,	PUNCT
cord-314725-og0ybfzf	157	6	b	b	NOUN
cord-314725-og0ybfzf	157	7	,	,	PUNCT
cord-314725-og0ybfzf	157	8	and	and	CCONJ
cord-314725-og0ybfzf	157	9	ρ	ρ	NOUN
cord-314725-og0ybfzf	157	10	as	as	ADP
cord-314725-og0ybfzf	157	11	functions	function	NOUN
cord-314725-og0ybfzf	157	12	of	of	ADP
cord-314725-og0ybfzf	157	13	time	time	NOUN
cord-314725-og0ybfzf	157	14	the	the	DET
cord-314725-og0ybfzf	157	15	data	datum	NOUN
cord-314725-og0ybfzf	157	16	set	set	VERB
cord-314725-og0ybfzf	157	17	(	(	PUNCT
cord-314725-og0ybfzf	157	18	25	25	NUM
cord-314725-og0ybfzf	157	19	)	)	PUNCT
cord-314725-og0ybfzf	157	20	contains	contain	VERB
cord-314725-og0ybfzf	157	21	the	the	DET
cord-314725-og0ybfzf	157	22	number	number	NOUN
cord-314725-og0ybfzf	157	23	of	of	ADP
cord-314725-og0ybfzf	157	24	infected	infect	VERB
cord-314725-og0ybfzf	157	25	individuals	individual	NOUN
cord-314725-og0ybfzf	157	26	for	for	ADP
cord-314725-og0ybfzf	157	27	every	every	DET
cord-314725-og0ybfzf	157	28	day	day	NOUN
cord-314725-og0ybfzf	157	29	for	for	ADP
cord-314725-og0ybfzf	157	30	a	a	DET
cord-314725-og0ybfzf	157	31	period	period	NOUN
cord-314725-og0ybfzf	157	32	of	of	ADP
cord-314725-og0ybfzf	157	33	m	m	NUM
cord-314725-og0ybfzf	157	34	days	day	NOUN
cord-314725-og0ybfzf	157	35	.	.	PUNCT
cord-314725-og0ybfzf	158	1	we	we	PRON
cord-314725-og0ybfzf	158	2	divide	divide	VERB
cord-314725-og0ybfzf	158	3	the	the	DET
cord-314725-og0ybfzf	158	4	set	set	NOUN
cord-314725-og0ybfzf	158	5	into	into	ADP
cord-314725-og0ybfzf	158	6	subsets	subset	NOUN
cord-314725-og0ybfzf	158	7	of	of	ADP
cord-314725-og0ybfzf	158	8	fixed	fix	VERB
cord-314725-og0ybfzf	158	9	length	length	NOUN
cord-314725-og0ybfzf	158	10	of	of	ADP
cord-314725-og0ybfzf	158	11	p	p	NOUN
cord-314725-og0ybfzf	158	12	days	day	NOUN
cord-314725-og0ybfzf	158	13	(	(	PUNCT
cord-314725-og0ybfzf	158	14	say	say	VERB
cord-314725-og0ybfzf	158	15	p	p	PROPN
cord-314725-og0ybfzf	158	16	=	=	SYM
cord-314725-og0ybfzf	158	17	7	7	NUM
cord-314725-og0ybfzf	158	18	,	,	PUNCT
cord-314725-og0ybfzf	158	19	or	or	CCONJ
cord-314725-og0ybfzf	158	20	10	10	NUM
cord-314725-og0ybfzf	158	21	,	,	PUNCT
cord-314725-og0ybfzf	158	22	or	or	CCONJ
cord-314725-og0ybfzf	158	23	14	14	NUM
cord-314725-og0ybfzf	158	24	days	day	NOUN
cord-314725-og0ybfzf	158	25	)	)	PUNCT
cord-314725-og0ybfzf	158	26	,	,	PUNCT
cord-314725-og0ybfzf	158	27	as	as	SCONJ
cord-314725-og0ybfzf	158	28	shown	show	VERB
cord-314725-og0ybfzf	158	29	in	in	ADP
cord-314725-og0ybfzf	158	30	fig	fig	PROPN
cord-314725-og0ybfzf	158	31	.	.	PUNCT
cord-314725-og0ybfzf	159	1	3	3	NUM
cord-314725-og0ybfzf	159	2	.	.	PUNCT
cord-314725-og0ybfzf	160	1	next	next	ADV
cord-314725-og0ybfzf	160	2	,	,	PUNCT
cord-314725-og0ybfzf	160	3	we	we	PRON
cord-314725-og0ybfzf	160	4	apply	apply	VERB
cord-314725-og0ybfzf	160	5	the	the	DET
cord-314725-og0ybfzf	160	6	algorithm	algorithm	NOUN
cord-314725-og0ybfzf	160	7	presented	present	VERB
cord-314725-og0ybfzf	160	8	in	in	ADP
cord-314725-og0ybfzf	160	9	subsection	subsection	NOUN
cord-314725-og0ybfzf	160	10	3.3	3.3	NUM
cord-314725-og0ybfzf	160	11	for	for	ADP
cord-314725-og0ybfzf	160	12	every	every	DET
cord-314725-og0ybfzf	160	13	sub	sub	NOUN
cord-314725-og0ybfzf	160	14	-	-	NOUN
cord-314725-og0ybfzf	160	15	interval	interval	NOUN
cord-314725-og0ybfzf	160	16	[	[	X
cord-314725-og0ybfzf	160	17	k	k	X
cord-314725-og0ybfzf	160	18	−	−	PROPN
cord-314725-og0ybfzf	160	19	p	p	NOUN
cord-314725-og0ybfzf	160	20	+	+	SYM
cord-314725-og0ybfzf	160	21	1	1	NUM
cord-314725-og0ybfzf	160	22	,	,	PUNCT
cord-314725-og0ybfzf	160	23	k	k	PROPN
cord-314725-og0ybfzf	160	24	]	]	X
cord-314725-og0ybfzf	160	25	,	,	PUNCT
cord-314725-og0ybfzf	160	26	for	for	ADP
cord-314725-og0ybfzf	160	27	k	k	PROPN
cord-314725-og0ybfzf	160	28	=	=	X
cord-314725-og0ybfzf	160	29	p	p	PROPN
cord-314725-og0ybfzf	160	30	,	,	PUNCT
cord-314725-og0ybfzf	160	31	p	p	NOUN
cord-314725-og0ybfzf	160	32	+	+	NOUN
cord-314725-og0ybfzf	160	33	1	1	NUM
cord-314725-og0ybfzf	160	34	,	,	PUNCT
cord-314725-og0ybfzf	160	35	.	.	PUNCT
cord-314725-og0ybfzf	160	36	.	.	PUNCT
cord-314725-og0ybfzf	160	37	.	.	PUNCT
cord-314725-og0ybfzf	161	1	,	,	PUNCT
cord-314725-og0ybfzf	161	2	m.	m.	NOUN
cord-314725-og0ybfzf	161	3	consequently	consequently	ADV
cord-314725-og0ybfzf	161	4	,	,	PUNCT
cord-314725-og0ybfzf	161	5	we	we	PRON
cord-314725-og0ybfzf	161	6	obtain	obtain	VERB
cord-314725-og0ybfzf	161	7	a	a	DET
cord-314725-og0ybfzf	161	8	k	k	PROPN
cord-314725-og0ybfzf	161	9	and	and	CCONJ
cord-314725-og0ybfzf	161	10	b	b	NOUN
cord-314725-og0ybfzf	161	11	k	k	NOUN
cord-314725-og0ybfzf	161	12	as	as	ADP
cord-314725-og0ybfzf	161	13	functions	function	NOUN
cord-314725-og0ybfzf	161	14	of	of	ADP
cord-314725-og0ybfzf	161	15	time	time	NOUN
cord-314725-og0ybfzf	161	16	.	.	PUNCT
cord-314725-og0ybfzf	162	1	for	for	ADP
cord-314725-og0ybfzf	162	2	every	every	DET
cord-314725-og0ybfzf	162	3	sub	sub	NOUN
cord-314725-og0ybfzf	162	4	-	-	NOUN
cord-314725-og0ybfzf	162	5	interval	interval	NOUN
cord-314725-og0ybfzf	162	6	we	we	PRON
cord-314725-og0ybfzf	162	7	calculate	calculate	VERB
cord-314725-og0ybfzf	162	8	the	the	DET
cord-314725-og0ybfzf	162	9	value	value	NOUN
cord-314725-og0ybfzf	162	10	of	of	ADP
cord-314725-og0ybfzf	162	11	the	the	DET
cord-314725-og0ybfzf	162	12	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	162	13	rate	rate	NOUN
cord-314725-og0ybfzf	162	14	models	model	NOUN
cord-314725-og0ybfzf	162	15	can	can	AUX
cord-314725-og0ybfzf	162	16	help	help	VERB
cord-314725-og0ybfzf	162	17	us	we	PRON
cord-314725-og0ybfzf	162	18	understand	understand	VERB
cord-314725-og0ybfzf	162	19	what	what	PRON
cord-314725-og0ybfzf	162	20	would	would	AUX
cord-314725-og0ybfzf	162	21	be	be	AUX
cord-314725-og0ybfzf	162	22	the	the	DET
cord-314725-og0ybfzf	162	23	worst	bad	ADJ
cord-314725-og0ybfzf	162	24	case	case	NOUN
cord-314725-og0ybfzf	162	25	scenario	scenario	NOUN
cord-314725-og0ybfzf	162	26	and	and	CCONJ
cord-314725-og0ybfzf	162	27	plan	plan	VERB
cord-314725-og0ybfzf	162	28	proper	proper	ADJ
cord-314725-og0ybfzf	162	29	actions	action	NOUN
cord-314725-og0ybfzf	162	30	to	to	PART
cord-314725-og0ybfzf	162	31	achieve	achieve	VERB
cord-314725-og0ybfzf	162	32	the	the	DET
cord-314725-og0ybfzf	162	33	best	good	ADJ
cord-314725-og0ybfzf	162	34	possible	possible	ADJ
cord-314725-og0ybfzf	162	35	outcome	outcome	NOUN
cord-314725-og0ybfzf	162	36	under	under	ADP
cord-314725-og0ybfzf	162	37	the	the	DET
cord-314725-og0ybfzf	162	38	given	give	VERB
cord-314725-og0ybfzf	162	39	constraints	constraint	NOUN
cord-314725-og0ybfzf	162	40	.	.	PUNCT
cord-314725-og0ybfzf	163	1	they	they	PRON
cord-314725-og0ybfzf	163	2	can	can	AUX
cord-314725-og0ybfzf	163	3	not	not	PART
cord-314725-og0ybfzf	163	4	accurately	accurately	ADV
cord-314725-og0ybfzf	163	5	predict	predict	VERB
cord-314725-og0ybfzf	163	6	what	what	PRON
cord-314725-og0ybfzf	163	7	will	will	AUX
cord-314725-og0ybfzf	163	8	happen	happen	VERB
cord-314725-og0ybfzf	163	9	.	.	PUNCT
cord-314725-og0ybfzf	164	1	the	the	DET
cord-314725-og0ybfzf	164	2	forecasts	forecast	NOUN
cord-314725-og0ybfzf	164	3	of	of	ADP
cord-314725-og0ybfzf	164	4	the	the	DET
cord-314725-og0ybfzf	164	5	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	164	6	spread	spread	NOUN
cord-314725-og0ybfzf	164	7	are	be	AUX
cord-314725-og0ybfzf	164	8	based	base	VERB
cord-314725-og0ybfzf	164	9	on	on	ADP
cord-314725-og0ybfzf	164	10	the	the	DET
cord-314725-og0ybfzf	164	11	available	available	ADJ
cord-314725-og0ybfzf	164	12	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	164	13	data	datum	NOUN
cord-314725-og0ybfzf	164	14	as	as	ADP
cord-314725-og0ybfzf	164	15	of	of	ADP
cord-314725-og0ybfzf	164	16	june	june	PROPN
cord-314725-og0ybfzf	164	17	21	21	NUM
cord-314725-og0ybfzf	164	18	,	,	PUNCT
cord-314725-og0ybfzf	164	19	2020	2020	NUM
cord-314725-og0ybfzf	164	20	,	,	PUNCT
cord-314725-og0ybfzf	164	21	at	at	ADP
cord-314725-og0ybfzf	164	22	[	[	X
cord-314725-og0ybfzf	164	23	40	40	NUM
cord-314725-og0ybfzf	164	24	]	]	PUNCT
cord-314725-og0ybfzf	164	25	and	and	CCONJ
cord-314725-og0ybfzf	164	26	[	[	X
cord-314725-og0ybfzf	164	27	41	41	NUM
cord-314725-og0ybfzf	164	28	]	]	PUNCT
cord-314725-og0ybfzf	164	29	.	.	PUNCT
cord-314725-og0ybfzf	165	1	our	our	PRON
cord-314725-og0ybfzf	165	2	experiments	experiment	NOUN
cord-314725-og0ybfzf	165	3	indicate	indicate	VERB
cord-314725-og0ybfzf	165	4	that	that	SCONJ
cord-314725-og0ybfzf	165	5	the	the	DET
cord-314725-og0ybfzf	165	6	optimal	optimal	ADJ
cord-314725-og0ybfzf	165	7	value	value	NOUN
cord-314725-og0ybfzf	165	8	of	of	ADP
cord-314725-og0ybfzf	165	9	ε	ε	NOUN
cord-314725-og0ybfzf	165	10	0	0	PUNCT
cord-314725-og0ybfzf	165	11	is	be	AUX
cord-314725-og0ybfzf	165	12	10	10	NUM
cord-314725-og0ybfzf	165	13	−8	−8	NOUN
cord-314725-og0ybfzf	165	14	.	.	PUNCT
cord-314725-og0ybfzf	166	1	the	the	DET
cord-314725-og0ybfzf	166	2	parameters	parameter	NOUN
cord-314725-og0ybfzf	166	3	a	a	PRON
cord-314725-og0ybfzf	166	4	,	,	PUNCT
cord-314725-og0ybfzf	166	5	b	b	NOUN
cord-314725-og0ybfzf	166	6	,	,	PUNCT
cord-314725-og0ybfzf	166	7	and	and	CCONJ
cord-314725-og0ybfzf	166	8	ρ	ρ	NOUN
cord-314725-og0ybfzf	166	9	as	as	ADP
cord-314725-og0ybfzf	166	10	functions	function	NOUN
cord-314725-og0ybfzf	166	11	of	of	ADP
cord-314725-og0ybfzf	166	12	time	time	NOUN
cord-314725-og0ybfzf	166	13	are	be	AUX
cord-314725-og0ybfzf	166	14	computed	compute	VERB
cord-314725-og0ybfzf	166	15	with	with	ADP
cord-314725-og0ybfzf	166	16	τ	τ	PROPN
cord-314725-og0ybfzf	166	17	=	=	NOUN
cord-314725-og0ybfzf	166	18	1/40	1/40	NUM
cord-314725-og0ybfzf	166	19	and	and	CCONJ
cord-314725-og0ybfzf	166	20	µ	µ	NOUN
cord-314725-og0ybfzf	166	21	=	=	NOUN
cord-314725-og0ybfzf	166	22	τ	τ	NOUN
cord-314725-og0ybfzf	166	23	.	.	PUNCT
cord-314725-og0ybfzf	167	1	they	they	PRON
cord-314725-og0ybfzf	167	2	are	be	AUX
cord-314725-og0ybfzf	167	3	estimated	estimate	VERB
cord-314725-og0ybfzf	167	4	with	with	ADP
cord-314725-og0ybfzf	167	5	calculations	calculation	NOUN
cord-314725-og0ybfzf	167	6	performed	perform	VERB
cord-314725-og0ybfzf	167	7	over	over	ADP
cord-314725-og0ybfzf	167	8	7	7	NUM
cord-314725-og0ybfzf	167	9	,	,	PUNCT
cord-314725-og0ybfzf	167	10	10	10	NUM
cord-314725-og0ybfzf	167	11	,	,	PUNCT
cord-314725-og0ybfzf	167	12	and/or	and/or	CCONJ
cord-314725-og0ybfzf	167	13	14	14	NUM
cord-314725-og0ybfzf	167	14	day	day	NOUN
cord-314725-og0ybfzf	167	15	intervals	interval	NOUN
cord-314725-og0ybfzf	167	16	.	.	PUNCT
cord-314725-og0ybfzf	168	1	the	the	DET
cord-314725-og0ybfzf	168	2	dynamic	dynamic	NOUN
cord-314725-og0ybfzf	168	3	of	of	ADP
cord-314725-og0ybfzf	168	4	the	the	DET
cord-314725-og0ybfzf	168	5	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	168	6	disease	disease	NOUN
cord-314725-og0ybfzf	168	7	is	be	AUX
cord-314725-og0ybfzf	168	8	projected	project	VERB
cord-314725-og0ybfzf	168	9	based	base	VERB
cord-314725-og0ybfzf	168	10	on	on	ADP
cord-314725-og0ybfzf	168	11	the	the	DET
cord-314725-og0ybfzf	168	12	values	value	NOUN
cord-314725-og0ybfzf	168	13	of	of	ADP
cord-314725-og0ybfzf	168	14	the	the	DET
cord-314725-og0ybfzf	168	15	parameters	parameter	NOUN
cord-314725-og0ybfzf	168	16	taken	take	VERB
cord-314725-og0ybfzf	168	17	at	at	ADP
cord-314725-og0ybfzf	168	18	the	the	DET
cord-314725-og0ybfzf	168	19	last	last	ADJ
cord-314725-og0ybfzf	168	20	day	day	NOUN
cord-314725-og0ybfzf	168	21	of	of	ADP
cord-314725-og0ybfzf	168	22	the	the	DET
cord-314725-og0ybfzf	168	23	period	period	NOUN
cord-314725-og0ybfzf	168	24	used	use	VERB
cord-314725-og0ybfzf	168	25	for	for	ADP
cord-314725-og0ybfzf	168	26	the	the	DET
cord-314725-og0ybfzf	168	27	transmission	transmission	NOUN
cord-314725-og0ybfzf	168	28	are	be	AUX
cord-314725-og0ybfzf	168	29	recovery	recovery	NOUN
cord-314725-og0ybfzf	168	30	rates	rate	NOUN
cord-314725-og0ybfzf	168	31	estimation	estimation	NOUN
cord-314725-og0ybfzf	168	32	.	.	PUNCT
cord-314725-og0ybfzf	169	1	this	this	DET
cord-314725-og0ybfzf	169	2	section	section	NOUN
cord-314725-og0ybfzf	169	3	presents	present	VERB
cord-314725-og0ybfzf	169	4	our	our	PRON
cord-314725-og0ybfzf	169	5	results	result	NOUN
cord-314725-og0ybfzf	169	6	for	for	ADP
cord-314725-og0ybfzf	169	7	the	the	DET
cord-314725-og0ybfzf	169	8	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	169	9	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	169	10	.	.	PUNCT
cord-314725-og0ybfzf	170	1	in	in	ADP
cord-314725-og0ybfzf	170	2	particular	particular	ADJ
cord-314725-og0ybfzf	170	3	,	,	PUNCT
cord-314725-og0ybfzf	170	4	the	the	DET
cord-314725-og0ybfzf	170	5	following	following	ADJ
cord-314725-og0ybfzf	170	6	characteristics	characteristic	NOUN
cord-314725-og0ybfzf	170	7	are	be	AUX
cord-314725-og0ybfzf	170	8	important	important	ADJ
cord-314725-og0ybfzf	170	9	for	for	ADP
cord-314725-og0ybfzf	170	10	understanding	understand	VERB
cord-314725-og0ybfzf	170	11	the	the	DET
cord-314725-og0ybfzf	170	12	infectious	infectious	ADJ
cord-314725-og0ybfzf	170	13	disease	disease	NOUN
cord-314725-og0ybfzf	170	14	dynamics	dynamic	NOUN
cord-314725-og0ybfzf	170	15	:	:	PUNCT
cord-314725-og0ybfzf	170	16	•	•	PUNCT
cord-314725-og0ybfzf	170	17	estimated	estimate	VERB
cord-314725-og0ybfzf	170	18	up	up	ADP
cord-314725-og0ybfzf	170	19	-	-	PUNCT
cord-314725-og0ybfzf	170	20	to	to	ADP
cord-314725-og0ybfzf	170	21	-	-	PUNCT
cord-314725-og0ybfzf	170	22	date	date	NOUN
cord-314725-og0ybfzf	170	23	transmission	transmission	NOUN
cord-314725-og0ybfzf	170	24	rate	rate	NOUN
cord-314725-og0ybfzf	170	25	a(t	a(t	PROPN
cord-314725-og0ybfzf	170	26	)	)	PUNCT
cord-314725-og0ybfzf	170	27	;	;	PUNCT
cord-314725-og0ybfzf	170	28	•	•	PUNCT
cord-314725-og0ybfzf	170	29	estimated	estimate	VERB
cord-314725-og0ybfzf	170	30	up	up	ADP
cord-314725-og0ybfzf	170	31	-	-	PUNCT
cord-314725-og0ybfzf	170	32	to	to	ADP
cord-314725-og0ybfzf	170	33	-	-	PUNCT
cord-314725-og0ybfzf	170	34	date	date	NOUN
cord-314725-og0ybfzf	170	35	removal	removal	NOUN
cord-314725-og0ybfzf	170	36	rate	rate	NOUN
cord-314725-og0ybfzf	170	37	b(t	b(t	NOUN
cord-314725-og0ybfzf	170	38	)	)	PUNCT
cord-314725-og0ybfzf	170	39	;	;	PUNCT
cord-314725-og0ybfzf	170	40	•	•	PUNCT
cord-314725-og0ybfzf	170	41	estimated	estimate	VERB
cord-314725-og0ybfzf	170	42	up	up	ADP
cord-314725-og0ybfzf	170	43	-	-	PUNCT
cord-314725-og0ybfzf	170	44	to	to	ADP
cord-314725-og0ybfzf	170	45	-	-	PUNCT
cord-314725-og0ybfzf	170	46	date	date	NOUN
cord-314725-og0ybfzf	170	47	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	170	48	rate	rate	NOUN
cord-314725-og0ybfzf	170	49	ρ(t	ρ(t	PROPN
cord-314725-og0ybfzf	170	50	)	)	PUNCT
cord-314725-og0ybfzf	170	51	;	;	PUNCT
cord-314725-og0ybfzf	170	52	•	•	PUNCT
cord-314725-og0ybfzf	170	53	projected	project	VERB
cord-314725-og0ybfzf	170	54	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	170	55	infectious	infectious	ADJ
cord-314725-og0ybfzf	170	56	cases	case	NOUN
cord-314725-og0ybfzf	170	57	i(t	i(t	PROPN
cord-314725-og0ybfzf	170	58	)	)	PUNCT
cord-314725-og0ybfzf	170	59	using	use	VERB
cord-314725-og0ybfzf	170	60	the	the	DET
cord-314725-og0ybfzf	170	61	up	up	ADP
cord-314725-og0ybfzf	170	62	-	-	PUNCT
cord-314725-og0ybfzf	170	63	to	to	ADP
cord-314725-og0ybfzf	170	64	-	-	PUNCT
cord-314725-og0ybfzf	170	65	date	date	NOUN
cord-314725-og0ybfzf	170	66	estimated	estimate	VERB
cord-314725-og0ybfzf	170	67	rates	rate	NOUN
cord-314725-og0ybfzf	170	68	,	,	PUNCT
cord-314725-og0ybfzf	170	69	taken	take	VERB
cord-314725-og0ybfzf	170	70	at	at	ADP
cord-314725-og0ybfzf	170	71	the	the	DET
cord-314725-og0ybfzf	170	72	last	last	ADJ
cord-314725-og0ybfzf	170	73	time	time	NOUN
cord-314725-og0ybfzf	170	74	period	period	NOUN
cord-314725-og0ybfzf	170	75	,	,	PUNCT
cord-314725-og0ybfzf	170	76	for	for	ADP
cord-314725-og0ybfzf	170	77	which	which	PRON
cord-314725-og0ybfzf	170	78	data	data	NOUN
cord-314725-og0ybfzf	170	79	is	be	AUX
cord-314725-og0ybfzf	170	80	available	available	ADJ
cord-314725-og0ybfzf	170	81	.	.	PUNCT
cord-314725-og0ybfzf	171	1	the	the	DET
cord-314725-og0ybfzf	171	2	functions	function	NOUN
cord-314725-og0ybfzf	171	3	i(t	i(t	PROPN
cord-314725-og0ybfzf	171	4	)	)	PUNCT
cord-314725-og0ybfzf	171	5	,	,	PUNCT
cord-314725-og0ybfzf	171	6	s(t	s(t	PROPN
cord-314725-og0ybfzf	171	7	)	)	PUNCT
cord-314725-og0ybfzf	171	8	,	,	PUNCT
cord-314725-og0ybfzf	171	9	and	and	CCONJ
cord-314725-og0ybfzf	171	10	r(t	r(t	NOUN
cord-314725-og0ybfzf	171	11	)	)	PUNCT
cord-314725-og0ybfzf	171	12	satisfy	satisfy	VERB
cord-314725-og0ybfzf	171	13	the	the	DET
cord-314725-og0ybfzf	171	14	direct	direct	ADJ
cord-314725-og0ybfzf	171	15	problem	problem	NOUN
cord-314725-og0ybfzf	171	16	,	,	PUNCT
cord-314725-og0ybfzf	171	17	if	if	SCONJ
cord-314725-og0ybfzf	171	18	the	the	DET
cord-314725-og0ybfzf	171	19	coefficients	coefficient	NOUN
cord-314725-og0ybfzf	171	20	are	be	AUX
cord-314725-og0ybfzf	171	21	known	know	VERB
cord-314725-og0ybfzf	171	22	.	.	PUNCT
cord-314725-og0ybfzf	172	1	after	after	ADP
cord-314725-og0ybfzf	172	2	estimating	estimate	VERB
cord-314725-og0ybfzf	172	3	a	a	PRON
cord-314725-og0ybfzf	172	4	and	and	CCONJ
cord-314725-og0ybfzf	172	5	b	b	NOUN
cord-314725-og0ybfzf	172	6	,	,	PUNCT
cord-314725-og0ybfzf	172	7	we	we	PRON
cord-314725-og0ybfzf	172	8	find	find	VERB
cord-314725-og0ybfzf	172	9	the	the	DET
cord-314725-og0ybfzf	172	10	numerical	numerical	ADJ
cord-314725-og0ybfzf	172	11	solution	solution	NOUN
cord-314725-og0ybfzf	172	12	of	of	ADP
cord-314725-og0ybfzf	172	13	the	the	DET
cord-314725-og0ybfzf	172	14	direct	direct	ADJ
cord-314725-og0ybfzf	172	15	problem	problem	NOUN
cord-314725-og0ybfzf	172	16	(	(	PUNCT
cord-314725-og0ybfzf	172	17	1)-(3	1)-(3	NUM
cord-314725-og0ybfzf	172	18	)	)	PUNCT
cord-314725-og0ybfzf	172	19	with	with	ADP
cord-314725-og0ybfzf	172	20	proper	proper	ADJ
cord-314725-og0ybfzf	172	21	initial	initial	ADJ
cord-314725-og0ybfzf	172	22	conditions	condition	NOUN
cord-314725-og0ybfzf	172	23	in	in	ADP
cord-314725-og0ybfzf	172	24	order	order	NOUN
cord-314725-og0ybfzf	172	25	to	to	PART
cord-314725-og0ybfzf	172	26	project	project	VERB
cord-314725-og0ybfzf	172	27	the	the	DET
cord-314725-og0ybfzf	172	28	future	future	ADJ
cord-314725-og0ybfzf	172	29	behavior	behavior	NOUN
cord-314725-og0ybfzf	172	30	of	of	ADP
cord-314725-og0ybfzf	172	31	the	the	DET
cord-314725-og0ybfzf	172	32	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	172	33	.	.	PUNCT
cord-314725-og0ybfzf	173	1	in	in	ADP
cord-314725-og0ybfzf	173	2	all	all	DET
cord-314725-og0ybfzf	173	3	calculations	calculation	NOUN
cord-314725-og0ybfzf	173	4	,	,	PUNCT
cord-314725-og0ybfzf	173	5	we	we	PRON
cord-314725-og0ybfzf	173	6	use	use	VERB
cord-314725-og0ybfzf	173	7	second	second	ADJ
cord-314725-og0ybfzf	173	8	order	order	NOUN
cord-314725-og0ybfzf	173	9	runge	runge	NOUN
cord-314725-og0ybfzf	173	10	-	-	PUNCT
cord-314725-og0ybfzf	173	11	kutta	kutta	NOUN
cord-314725-og0ybfzf	173	12	method	method	NOUN
cord-314725-og0ybfzf	173	13	,	,	PUNCT
cord-314725-og0ybfzf	173	14	a	a	DET
cord-314725-og0ybfzf	173	15	type	type	NOUN
cord-314725-og0ybfzf	173	16	of	of	ADP
cord-314725-og0ybfzf	173	17	predictor	predictor	NOUN
cord-314725-og0ybfzf	173	18	-	-	PUNCT
cord-314725-og0ybfzf	173	19	corrector	corrector	NOUN
cord-314725-og0ybfzf	173	20	method	method	NOUN
cord-314725-og0ybfzf	173	21	.	.	PUNCT
cord-314725-og0ybfzf	174	1	the	the	DET
cord-314725-og0ybfzf	174	2	first	first	ADJ
cord-314725-og0ybfzf	174	3	step	step	NOUN
cord-314725-og0ybfzf	174	4	is	be	AUX
cord-314725-og0ybfzf	174	5	:	:	PUNCT
cord-314725-og0ybfzf	174	6	next	next	ADV
cord-314725-og0ybfzf	174	7	,	,	PUNCT
cord-314725-og0ybfzf	174	8	the	the	DET
cord-314725-og0ybfzf	174	9	corrector	corrector	NOUN
cord-314725-og0ybfzf	174	10	step	step	NOUN
cord-314725-og0ybfzf	174	11	improves	improve	VERB
cord-314725-og0ybfzf	174	12	the	the	DET
cord-314725-og0ybfzf	174	13	prediction	prediction	NOUN
cord-314725-og0ybfzf	174	14	obtained	obtain	VERB
cord-314725-og0ybfzf	174	15	in	in	ADP
cord-314725-og0ybfzf	174	16	the	the	DET
cord-314725-og0ybfzf	174	17	first	first	ADJ
cord-314725-og0ybfzf	174	18	step	step	NOUN
cord-314725-og0ybfzf	174	19	:	:	PUNCT
cord-314725-og0ybfzf	174	20	finally	finally	ADV
cord-314725-og0ybfzf	174	21	,	,	PUNCT
cord-314725-og0ybfzf	174	22	for	for	ADP
cord-314725-og0ybfzf	174	23	k	k	PROPN
cord-314725-og0ybfzf	174	24	=	=	SYM
cord-314725-og0ybfzf	174	25	1	1	NUM
cord-314725-og0ybfzf	174	26	,	,	PUNCT
cord-314725-og0ybfzf	174	27	2	2	NUM
cord-314725-og0ybfzf	174	28	,	,	PUNCT
cord-314725-og0ybfzf	174	29	.	.	PUNCT
cord-314725-og0ybfzf	174	30	.	.	PUNCT
cord-314725-og0ybfzf	174	31	.	.	PUNCT
cord-314725-og0ybfzf	174	32	.	.	PUNCT
cord-314725-og0ybfzf	175	1	we	we	PRON
cord-314725-og0ybfzf	175	2	use	use	VERB
cord-314725-og0ybfzf	175	3	τ	τ	NOUN
cord-314725-og0ybfzf	175	4	=	=	NOUN
cord-314725-og0ybfzf	175	5	0.01	0.01	NUM
cord-314725-og0ybfzf	175	6	for	for	ADP
cord-314725-og0ybfzf	175	7	solving	solve	VERB
cord-314725-og0ybfzf	175	8	the	the	DET
cord-314725-og0ybfzf	175	9	direct	direct	ADJ
cord-314725-og0ybfzf	175	10	problem	problem	NOUN
cord-314725-og0ybfzf	175	11	numerically	numerically	ADV
cord-314725-og0ybfzf	175	12	by	by	ADP
cord-314725-og0ybfzf	175	13	the	the	DET
cord-314725-og0ybfzf	175	14	runge	runge	NOUN
cord-314725-og0ybfzf	175	15	-	-	PUNCT
cord-314725-og0ybfzf	175	16	kutta	kutta	NOUN
cord-314725-og0ybfzf	175	17	method	method	NOUN
cord-314725-og0ybfzf	175	18	.	.	PUNCT
cord-314725-og0ybfzf	176	1	it	it	PRON
cord-314725-og0ybfzf	176	2	must	must	AUX
cord-314725-og0ybfzf	176	3	be	be	AUX
cord-314725-og0ybfzf	176	4	noted	note	VERB
cord-314725-og0ybfzf	176	5	that	that	SCONJ
cord-314725-og0ybfzf	176	6	these	these	DET
cord-314725-og0ybfzf	176	7	forecasts	forecast	NOUN
cord-314725-og0ybfzf	176	8	are	be	AUX
cord-314725-og0ybfzf	176	9	valid	valid	ADJ
cord-314725-og0ybfzf	176	10	as	as	ADV
cord-314725-og0ybfzf	176	11	far	far	ADV
cord-314725-og0ybfzf	176	12	as	as	SCONJ
cord-314725-og0ybfzf	176	13	the	the	DET
cord-314725-og0ybfzf	176	14	rates	rate	NOUN
cord-314725-og0ybfzf	176	15	remain	remain	VERB
cord-314725-og0ybfzf	176	16	as	as	SCONJ
cord-314725-og0ybfzf	176	17	estimated	estimate	VERB
cord-314725-og0ybfzf	176	18	;	;	PUNCT
cord-314725-og0ybfzf	176	19	however	however	ADV
cord-314725-og0ybfzf	176	20	,	,	PUNCT
cord-314725-og0ybfzf	176	21	since	since	SCONJ
cord-314725-og0ybfzf	176	22	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	176	23	is	be	AUX
cord-314725-og0ybfzf	176	24	a	a	DET
cord-314725-og0ybfzf	176	25	highly	highly	ADV
cord-314725-og0ybfzf	176	26	contagious	contagious	ADJ
cord-314725-og0ybfzf	176	27	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	176	28	,	,	PUNCT
cord-314725-og0ybfzf	176	29	for	for	ADP
cord-314725-og0ybfzf	176	30	which	which	PRON
cord-314725-og0ybfzf	176	31	very	very	ADV
cord-314725-og0ybfzf	176	32	little	little	ADJ
cord-314725-og0ybfzf	176	33	is	be	AUX
cord-314725-og0ybfzf	176	34	known	know	VERB
cord-314725-og0ybfzf	176	35	,	,	PUNCT
cord-314725-og0ybfzf	176	36	the	the	DET
cord-314725-og0ybfzf	176	37	rates	rate	NOUN
cord-314725-og0ybfzf	176	38	of	of	ADP
cord-314725-og0ybfzf	176	39	transmission	transmission	NOUN
cord-314725-og0ybfzf	176	40	,	,	PUNCT
cord-314725-og0ybfzf	176	41	removal	removal	NOUN
cord-314725-og0ybfzf	176	42	,	,	PUNCT
cord-314725-og0ybfzf	176	43	and	and	CCONJ
cord-314725-og0ybfzf	176	44	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	176	45	may	may	AUX
cord-314725-og0ybfzf	176	46	suddenly	suddenly	ADV
cord-314725-og0ybfzf	176	47	change	change	VERB
cord-314725-og0ybfzf	176	48	due	due	ADP
cord-314725-og0ybfzf	176	49	to	to	ADP
cord-314725-og0ybfzf	176	50	measures	measure	NOUN
cord-314725-og0ybfzf	176	51	and/or	and/or	CCONJ
cord-314725-og0ybfzf	176	52	events	event	NOUN
cord-314725-og0ybfzf	176	53	affecting	affect	VERB
cord-314725-og0ybfzf	176	54	the	the	DET
cord-314725-og0ybfzf	176	55	spread	spread	NOUN
cord-314725-og0ybfzf	176	56	.	.	PUNCT
cord-314725-og0ybfzf	177	1	over	over	ADP
cord-314725-og0ybfzf	177	2	the	the	DET
cord-314725-og0ybfzf	177	3	last	last	ADJ
cord-314725-og0ybfzf	177	4	several	several	ADJ
cord-314725-og0ybfzf	177	5	months	month	NOUN
cord-314725-og0ybfzf	177	6	,	,	PUNCT
cord-314725-og0ybfzf	177	7	people	people	NOUN
cord-314725-og0ybfzf	177	8	learned	learn	VERB
cord-314725-og0ybfzf	177	9	how	how	SCONJ
cord-314725-og0ybfzf	177	10	to	to	PART
cord-314725-og0ybfzf	177	11	protect	protect	VERB
cord-314725-og0ybfzf	177	12	themselves	themselves	PRON
cord-314725-og0ybfzf	177	13	from	from	ADP
cord-314725-og0ybfzf	177	14	being	be	AUX
cord-314725-og0ybfzf	177	15	infected	infect	VERB
cord-314725-og0ybfzf	177	16	;	;	PUNCT
cord-314725-og0ybfzf	177	17	consequently	consequently	ADV
cord-314725-og0ybfzf	177	18	,	,	PUNCT
cord-314725-og0ybfzf	177	19	this	this	PRON
cord-314725-og0ybfzf	177	20	helped	help	VERB
cord-314725-og0ybfzf	177	21	keep	keep	VERB
cord-314725-og0ybfzf	177	22	the	the	DET
cord-314725-og0ybfzf	177	23	transmission	transmission	NOUN
cord-314725-og0ybfzf	177	24	and	and	CCONJ
cord-314725-og0ybfzf	177	25	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	177	26	rates	rate	NOUN
cord-314725-og0ybfzf	177	27	low	low	ADJ
cord-314725-og0ybfzf	177	28	.	.	PUNCT
cord-314725-og0ybfzf	178	1	table	table	NOUN
cord-314725-og0ybfzf	178	2	1	1	NUM
cord-314725-og0ybfzf	178	3	.	.	PUNCT
cord-314725-og0ybfzf	179	1	forecasts	forecast	NOUN
cord-314725-og0ybfzf	179	2	,	,	PUNCT
cord-314725-og0ybfzf	179	3	based	base	VERB
cord-314725-og0ybfzf	179	4	on	on	ADP
cord-314725-og0ybfzf	179	5	the	the	DET
cord-314725-og0ybfzf	179	6	last	last	ADJ
cord-314725-og0ybfzf	179	7	7	7	NUM
cord-314725-og0ybfzf	179	8	,	,	PUNCT
cord-314725-og0ybfzf	179	9	10	10	NUM
cord-314725-og0ybfzf	179	10	,	,	PUNCT
cord-314725-og0ybfzf	179	11	and	and	CCONJ
cord-314725-og0ybfzf	179	12	14	14	NUM
cord-314725-og0ybfzf	179	13	day	day	NOUN
cord-314725-og0ybfzf	179	14	interval	interval	NOUN
cord-314725-og0ybfzf	179	15	estimations	estimation	NOUN
cord-314725-og0ybfzf	179	16	of	of	ADP
cord-314725-og0ybfzf	179	17	a	a	PRON
cord-314725-og0ybfzf	179	18	and	and	CCONJ
cord-314725-og0ybfzf	179	19	b	b	NOUN
cord-314725-og0ybfzf	179	20	are	be	AUX
cord-314725-og0ybfzf	179	21	given	give	VERB
cord-314725-og0ybfzf	179	22	in	in	ADP
cord-314725-og0ybfzf	179	23	fig	fig	NOUN
cord-314725-og0ybfzf	179	24	.	.	PUNCT
cord-314725-og0ybfzf	179	25	4(d	4(d	PUNCT
cord-314725-og0ybfzf	179	26	)	)	PUNCT
cord-314725-og0ybfzf	179	27	.	.	PUNCT
cord-314725-og0ybfzf	180	1	the	the	DET
cord-314725-og0ybfzf	180	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	180	3	rate	rate	NOUN
cord-314725-og0ybfzf	180	4	ρ	ρ	NOUN
cord-314725-og0ybfzf	180	5	is	be	AUX
cord-314725-og0ybfzf	180	6	still	still	ADV
cord-314725-og0ybfzf	180	7	greater	great	ADJ
cord-314725-og0ybfzf	180	8	than	than	ADP
cord-314725-og0ybfzf	180	9	one	one	NUM
cord-314725-og0ybfzf	180	10	although	although	SCONJ
cord-314725-og0ybfzf	180	11	decreasing	decrease	VERB
cord-314725-og0ybfzf	180	12	.	.	PUNCT
cord-314725-og0ybfzf	180	13	table	table	NOUN
cord-314725-og0ybfzf	180	14	2	2	NUM
cord-314725-og0ybfzf	180	15	.	.	PUNCT
cord-314725-og0ybfzf	181	1	the	the	DET
cord-314725-og0ybfzf	181	2	projections	projection	NOUN
cord-314725-og0ybfzf	181	3	,	,	PUNCT
cord-314725-og0ybfzf	181	4	based	base	VERB
cord-314725-og0ybfzf	181	5	on	on	ADP
cord-314725-og0ybfzf	181	6	the	the	DET
cord-314725-og0ybfzf	181	7	last	last	ADJ
cord-314725-og0ybfzf	181	8	7	7	NUM
cord-314725-og0ybfzf	181	9	,	,	PUNCT
cord-314725-og0ybfzf	181	10	10	10	NUM
cord-314725-og0ybfzf	181	11	,	,	PUNCT
cord-314725-og0ybfzf	181	12	and	and	CCONJ
cord-314725-og0ybfzf	181	13	14	14	NUM
cord-314725-og0ybfzf	181	14	day	day	NOUN
cord-314725-og0ybfzf	181	15	interval	interval	NOUN
cord-314725-og0ybfzf	181	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	181	17	of	of	ADP
cord-314725-og0ybfzf	181	18	a	a	PRON
cord-314725-og0ybfzf	181	19	and	and	CCONJ
cord-314725-og0ybfzf	181	20	b	b	NOUN
cord-314725-og0ybfzf	181	21	are	be	AUX
cord-314725-og0ybfzf	181	22	given	give	VERB
cord-314725-og0ybfzf	181	23	in	in	ADP
cord-314725-og0ybfzf	181	24	fig	fig	PROPN
cord-314725-og0ybfzf	181	25	.	.	PUNCT
cord-314725-og0ybfzf	181	26	5(d	5(d	NUM
cord-314725-og0ybfzf	181	27	)	)	PUNCT
cord-314725-og0ybfzf	181	28	.	.	PUNCT
cord-314725-og0ybfzf	182	1	the	the	DET
cord-314725-og0ybfzf	182	2	transmission	transmission	NOUN
cord-314725-og0ybfzf	182	3	rate	rate	NOUN
cord-314725-og0ybfzf	182	4	a	a	NOUN
cord-314725-og0ybfzf	182	5	and	and	CCONJ
cord-314725-og0ybfzf	182	6	the	the	DET
cord-314725-og0ybfzf	182	7	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	182	8	rate	rate	NOUN
cord-314725-og0ybfzf	182	9	ρ	ρ	X
cord-314725-og0ybfzf	182	10	have	have	AUX
cord-314725-og0ybfzf	182	11	increased	increase	VERB
cord-314725-og0ybfzf	182	12	lately	lately	ADV
cord-314725-og0ybfzf	182	13	.	.	PUNCT
cord-314725-og0ybfzf	183	1	table	table	NOUN
cord-314725-og0ybfzf	183	2	3	3	NUM
cord-314725-og0ybfzf	183	3	.	.	PUNCT
cord-314725-og0ybfzf	184	1	the	the	DET
cord-314725-og0ybfzf	184	2	projections	projection	NOUN
cord-314725-og0ybfzf	184	3	,	,	PUNCT
cord-314725-og0ybfzf	184	4	based	base	VERB
cord-314725-og0ybfzf	184	5	on	on	ADP
cord-314725-og0ybfzf	184	6	the	the	DET
cord-314725-og0ybfzf	184	7	last	last	ADJ
cord-314725-og0ybfzf	184	8	7	7	NUM
cord-314725-og0ybfzf	184	9	,	,	PUNCT
cord-314725-og0ybfzf	184	10	10	10	NUM
cord-314725-og0ybfzf	184	11	and	and	CCONJ
cord-314725-og0ybfzf	184	12	14	14	NUM
cord-314725-og0ybfzf	184	13	day	day	NOUN
cord-314725-og0ybfzf	184	14	interval	interval	NOUN
cord-314725-og0ybfzf	184	15	estimations	estimation	NOUN
cord-314725-og0ybfzf	184	16	of	of	ADP
cord-314725-og0ybfzf	184	17	a	a	PRON
cord-314725-og0ybfzf	184	18	and	and	CCONJ
cord-314725-og0ybfzf	184	19	b	b	NOUN
cord-314725-og0ybfzf	184	20	are	be	AUX
cord-314725-og0ybfzf	184	21	given	give	VERB
cord-314725-og0ybfzf	184	22	in	in	ADP
cord-314725-og0ybfzf	184	23	fig	fig	PROPN
cord-314725-og0ybfzf	184	24	.	.	PUNCT
cord-314725-og0ybfzf	184	25	6(d	6(d	NUM
cord-314725-og0ybfzf	184	26	)	)	PUNCT
cord-314725-og0ybfzf	184	27	.	.	PUNCT
cord-314725-og0ybfzf	185	1	canada	canada	PROPN
cord-314725-og0ybfzf	185	2	started	start	VERB
cord-314725-og0ybfzf	185	3	its	its	PRON
cord-314725-og0ybfzf	185	4	reopening	reopen	VERB
cord-314725-og0ybfzf	185	5	some	some	DET
cord-314725-og0ybfzf	185	6	services	service	NOUN
cord-314725-og0ybfzf	185	7	and	and	CCONJ
cord-314725-og0ybfzf	185	8	businesses	business	NOUN
cord-314725-og0ybfzf	185	9	in	in	ADP
cord-314725-og0ybfzf	185	10	several	several	ADJ
cord-314725-og0ybfzf	185	11	provinces	province	NOUN
cord-314725-og0ybfzf	185	12	around	around	ADP
cord-314725-og0ybfzf	185	13	may	may	PROPN
cord-314725-og0ybfzf	185	14	14	14	NUM
cord-314725-og0ybfzf	185	15	,	,	PUNCT
cord-314725-og0ybfzf	185	16	2020	2020	NUM
cord-314725-og0ybfzf	185	17	.	.	PUNCT
cord-314725-og0ybfzf	186	1	however	however	ADV
cord-314725-og0ybfzf	186	2	,	,	PUNCT
cord-314725-og0ybfzf	186	3	during	during	ADP
cord-314725-og0ybfzf	186	4	the	the	DET
cord-314725-og0ybfzf	186	5	month	month	NOUN
cord-314725-og0ybfzf	186	6	of	of	ADP
cord-314725-og0ybfzf	186	7	june	june	PROPN
cord-314725-og0ybfzf	186	8	,	,	PUNCT
cord-314725-og0ybfzf	186	9	the	the	DET
cord-314725-og0ybfzf	186	10	transmission	transmission	NOUN
cord-314725-og0ybfzf	186	11	rate	rate	NOUN
cord-314725-og0ybfzf	186	12	a	a	NOUN
cord-314725-og0ybfzf	186	13	and	and	CCONJ
cord-314725-og0ybfzf	186	14	the	the	DET
cord-314725-og0ybfzf	186	15	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	186	16	rate	rate	NOUN
cord-314725-og0ybfzf	186	17	ρ	ρ	X
cord-314725-og0ybfzf	186	18	steadily	steadily	ADV
cord-314725-og0ybfzf	186	19	decrease	decrease	VERB
cord-314725-og0ybfzf	186	20	.	.	PUNCT
cord-314725-og0ybfzf	187	1	table	table	NOUN
cord-314725-og0ybfzf	187	2	4	4	NUM
cord-314725-og0ybfzf	187	3	.	.	PUNCT
cord-314725-og0ybfzf	188	1	the	the	DET
cord-314725-og0ybfzf	188	2	projections	projection	NOUN
cord-314725-og0ybfzf	188	3	,	,	PUNCT
cord-314725-og0ybfzf	188	4	based	base	VERB
cord-314725-og0ybfzf	188	5	on	on	ADP
cord-314725-og0ybfzf	188	6	the	the	DET
cord-314725-og0ybfzf	188	7	last	last	ADJ
cord-314725-og0ybfzf	188	8	7	7	NUM
cord-314725-og0ybfzf	188	9	,	,	PUNCT
cord-314725-og0ybfzf	188	10	10	10	NUM
cord-314725-og0ybfzf	188	11	,	,	PUNCT
cord-314725-og0ybfzf	188	12	and	and	CCONJ
cord-314725-og0ybfzf	188	13	14	14	NUM
cord-314725-og0ybfzf	188	14	day	day	NOUN
cord-314725-og0ybfzf	188	15	interval	interval	NOUN
cord-314725-og0ybfzf	188	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	188	17	of	of	ADP
cord-314725-og0ybfzf	188	18	a	a	PRON
cord-314725-og0ybfzf	188	19	and	and	CCONJ
cord-314725-og0ybfzf	188	20	b	b	NOUN
cord-314725-og0ybfzf	188	21	are	be	AUX
cord-314725-og0ybfzf	188	22	given	give	VERB
cord-314725-og0ybfzf	188	23	in	in	ADP
cord-314725-og0ybfzf	188	24	fig	fig	PROPN
cord-314725-og0ybfzf	188	25	.	.	PUNCT
cord-314725-og0ybfzf	188	26	7(d	7(d	NUM
cord-314725-og0ybfzf	188	27	)	)	PUNCT
cord-314725-og0ybfzf	188	28	.	.	PUNCT
cord-314725-og0ybfzf	189	1	the	the	DET
cord-314725-og0ybfzf	189	2	data	datum	NOUN
cord-314725-og0ybfzf	189	3	shows	show	VERB
cord-314725-og0ybfzf	189	4	that	that	SCONJ
cord-314725-og0ybfzf	189	5	the	the	DET
cord-314725-og0ybfzf	189	6	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	189	7	is	be	AUX
cord-314725-og0ybfzf	189	8	slowing	slow	VERB
cord-314725-og0ybfzf	189	9	down	down	ADP
cord-314725-og0ybfzf	189	10	significantly	significantly	ADV
cord-314725-og0ybfzf	189	11	and	and	CCONJ
cord-314725-og0ybfzf	189	12	it	it	PRON
cord-314725-og0ybfzf	189	13	may	may	AUX
cord-314725-og0ybfzf	189	14	disappear	disappear	VERB
cord-314725-og0ybfzf	189	15	soon	soon	ADV
cord-314725-og0ybfzf	189	16	.	.	PUNCT
cord-314725-og0ybfzf	190	1	table	table	NOUN
cord-314725-og0ybfzf	190	2	5	5	NUM
cord-314725-og0ybfzf	190	3	.	.	PUNCT
cord-314725-og0ybfzf	191	1	three	three	NUM
cord-314725-og0ybfzf	191	2	projections	projection	NOUN
cord-314725-og0ybfzf	191	3	,	,	PUNCT
cord-314725-og0ybfzf	191	4	based	base	VERB
cord-314725-og0ybfzf	191	5	on	on	ADP
cord-314725-og0ybfzf	191	6	the	the	DET
cord-314725-og0ybfzf	191	7	last	last	ADJ
cord-314725-og0ybfzf	191	8	7	7	NUM
cord-314725-og0ybfzf	191	9	,	,	PUNCT
cord-314725-og0ybfzf	191	10	10	10	NUM
cord-314725-og0ybfzf	191	11	and	and	CCONJ
cord-314725-og0ybfzf	191	12	14	14	NUM
cord-314725-og0ybfzf	191	13	day	day	NOUN
cord-314725-og0ybfzf	191	14	interval	interval	NOUN
cord-314725-og0ybfzf	191	15	estimations	estimation	NOUN
cord-314725-og0ybfzf	191	16	of	of	ADP
cord-314725-og0ybfzf	191	17	a	a	PRON
cord-314725-og0ybfzf	191	18	and	and	CCONJ
cord-314725-og0ybfzf	191	19	b	b	NOUN
cord-314725-og0ybfzf	191	20	are	be	AUX
cord-314725-og0ybfzf	191	21	given	give	VERB
cord-314725-og0ybfzf	191	22	in	in	ADP
cord-314725-og0ybfzf	191	23	fig	fig	PROPN
cord-314725-og0ybfzf	191	24	.	.	PUNCT
cord-314725-og0ybfzf	191	25	8(d	8(d	NUM
cord-314725-og0ybfzf	191	26	)	)	PUNCT
cord-314725-og0ybfzf	191	27	.	.	PUNCT
cord-314725-og0ybfzf	192	1	the	the	DET
cord-314725-og0ybfzf	192	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	192	3	rate	rate	NOUN
cord-314725-og0ybfzf	192	4	has	have	AUX
cord-314725-og0ybfzf	192	5	been	be	AUX
cord-314725-og0ybfzf	192	6	less	less	ADJ
cord-314725-og0ybfzf	192	7	than	than	ADP
cord-314725-og0ybfzf	192	8	one	one	NUM
cord-314725-og0ybfzf	192	9	since	since	SCONJ
cord-314725-og0ybfzf	192	10	the	the	DET
cord-314725-og0ybfzf	192	11	middle	middle	NOUN
cord-314725-og0ybfzf	192	12	of	of	ADP
cord-314725-og0ybfzf	192	13	may	may	NOUN
cord-314725-og0ybfzf	192	14	,	,	PUNCT
cord-314725-og0ybfzf	192	15	but	but	CCONJ
cord-314725-og0ybfzf	192	16	,	,	PUNCT
cord-314725-og0ybfzf	192	17	the	the	DET
cord-314725-og0ybfzf	192	18	end	end	NOUN
cord-314725-og0ybfzf	192	19	of	of	ADP
cord-314725-og0ybfzf	192	20	may	may	AUX
cord-314725-og0ybfzf	192	21	it	it	PRON
cord-314725-og0ybfzf	192	22	is	be	AUX
cord-314725-og0ybfzf	192	23	again	again	ADV
cord-314725-og0ybfzf	192	24	greater	great	ADJ
cord-314725-og0ybfzf	192	25	than	than	ADP
cord-314725-og0ybfzf	192	26	one	one	NUM
cord-314725-og0ybfzf	192	27	and	and	CCONJ
cord-314725-og0ybfzf	192	28	the	the	DET
cord-314725-og0ybfzf	192	29	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	192	30	spread	spread	NOUN
cord-314725-og0ybfzf	192	31	is	be	AUX
cord-314725-og0ybfzf	192	32	increasing	increase	VERB
cord-314725-og0ybfzf	192	33	.	.	PUNCT
cord-314725-og0ybfzf	193	1	(	(	PUNCT
cord-314725-og0ybfzf	193	2	c	c	NOUN
cord-314725-og0ybfzf	193	3	)	)	PUNCT
cord-314725-og0ybfzf	193	4	(	(	PUNCT
cord-314725-og0ybfzf	193	5	d	d	NOUN
cord-314725-og0ybfzf	193	6	)	)	PUNCT
cord-314725-og0ybfzf	193	7	figure	figure	NOUN
cord-314725-og0ybfzf	193	8	8	8	NUM
cord-314725-og0ybfzf	193	9	:	:	PUNCT
cord-314725-og0ybfzf	193	10	estimated	estimate	VERB
cord-314725-og0ybfzf	193	11	values	value	NOUN
cord-314725-og0ybfzf	193	12	of	of	ADP
cord-314725-og0ybfzf	193	13	a	a	DET
cord-314725-og0ybfzf	193	14	,	,	PUNCT
cord-314725-og0ybfzf	193	15	b	b	PROPN
cord-314725-og0ybfzf	193	16	,	,	PUNCT
cord-314725-og0ybfzf	193	17	ρ	ρ	NOUN
cord-314725-og0ybfzf	193	18	used	use	VERB
cord-314725-og0ybfzf	193	19	for	for	ADP
cord-314725-og0ybfzf	193	20	projections	projection	NOUN
cord-314725-og0ybfzf	193	21	of	of	ADP
cord-314725-og0ybfzf	193	22	i	i	PRON
cord-314725-og0ybfzf	193	23	for	for	ADP
cord-314725-og0ybfzf	193	24	france	france	PROPN
cord-314725-og0ybfzf	193	25	4.6	4.6	NUM
cord-314725-og0ybfzf	193	26	.	.	PUNCT
cord-314725-og0ybfzf	194	1	germany	germany	PROPN
cord-314725-og0ybfzf	194	2	fig	fig	PROPN
cord-314725-og0ybfzf	194	3	.	.	PUNCT
cord-314725-og0ybfzf	195	1	9	9	NUM
cord-314725-og0ybfzf	195	2	(	(	PUNCT
cord-314725-og0ybfzf	195	3	a)-(c	a)-(c	PROPN
cord-314725-og0ybfzf	195	4	)	)	PUNCT
cord-314725-og0ybfzf	195	5	presents	present	VERB
cord-314725-og0ybfzf	195	6	the	the	DET
cord-314725-og0ybfzf	195	7	obtained	obtain	VERB
cord-314725-og0ybfzf	195	8	values	value	NOUN
cord-314725-og0ybfzf	195	9	of	of	ADP
cord-314725-og0ybfzf	195	10	the	the	DET
cord-314725-og0ybfzf	195	11	parameters	parameter	NOUN
cord-314725-og0ybfzf	195	12	a	a	PRON
cord-314725-og0ybfzf	195	13	,	,	PUNCT
cord-314725-og0ybfzf	195	14	b	b	NOUN
cord-314725-og0ybfzf	195	15	,	,	PUNCT
cord-314725-og0ybfzf	195	16	and	and	CCONJ
cord-314725-og0ybfzf	195	17	ρ	ρ	NOUN
cord-314725-og0ybfzf	195	18	as	as	ADP
cord-314725-og0ybfzf	195	19	functions	function	NOUN
cord-314725-og0ybfzf	195	20	of	of	ADP
cord-314725-og0ybfzf	195	21	time	time	NOUN
cord-314725-og0ybfzf	195	22	,	,	PUNCT
cord-314725-og0ybfzf	195	23	calculated	calculate	VERB
cord-314725-og0ybfzf	195	24	over	over	ADP
cord-314725-og0ybfzf	195	25	7	7	NUM
cord-314725-og0ybfzf	195	26	,	,	PUNCT
cord-314725-og0ybfzf	195	27	10	10	NUM
cord-314725-og0ybfzf	195	28	,	,	PUNCT
cord-314725-og0ybfzf	195	29	and	and	CCONJ
cord-314725-og0ybfzf	195	30	14	14	NUM
cord-314725-og0ybfzf	195	31	day	day	NOUN
cord-314725-og0ybfzf	195	32	intervals	interval	NOUN
cord-314725-og0ybfzf	195	33	.	.	PUNCT
cord-314725-og0ybfzf	196	1	the	the	DET
cord-314725-og0ybfzf	196	2	values	value	NOUN
cord-314725-og0ybfzf	196	3	of	of	ADP
cord-314725-og0ybfzf	196	4	a	a	DET
cord-314725-og0ybfzf	196	5	,	,	PUNCT
cord-314725-og0ybfzf	196	6	b	b	NOUN
cord-314725-og0ybfzf	196	7	,	,	PUNCT
cord-314725-og0ybfzf	196	8	and	and	CCONJ
cord-314725-og0ybfzf	196	9	ρ	ρ	NOUN
cord-314725-og0ybfzf	196	10	for	for	ADP
cord-314725-og0ybfzf	196	11	the	the	DET
cord-314725-og0ybfzf	196	12	last	last	ADJ
cord-314725-og0ybfzf	196	13	day	day	NOUN
cord-314725-og0ybfzf	196	14	are	be	AUX
cord-314725-og0ybfzf	196	15	given	give	VERB
cord-314725-og0ybfzf	196	16	in	in	ADP
cord-314725-og0ybfzf	196	17	table	table	NOUN
cord-314725-og0ybfzf	196	18	6	6	NUM
cord-314725-og0ybfzf	196	19	.	.	PUNCT
cord-314725-og0ybfzf	197	1	the	the	DET
cord-314725-og0ybfzf	197	2	projected	project	VERB
cord-314725-og0ybfzf	197	3	values	value	NOUN
cord-314725-og0ybfzf	197	4	,	,	PUNCT
cord-314725-og0ybfzf	197	5	based	base	VERB
cord-314725-og0ybfzf	197	6	on	on	ADP
cord-314725-og0ybfzf	197	7	the	the	DET
cord-314725-og0ybfzf	197	8	last	last	ADJ
cord-314725-og0ybfzf	197	9	7	7	NUM
cord-314725-og0ybfzf	197	10	,	,	PUNCT
cord-314725-og0ybfzf	197	11	10	10	NUM
cord-314725-og0ybfzf	197	12	,	,	PUNCT
cord-314725-og0ybfzf	197	13	and	and	CCONJ
cord-314725-og0ybfzf	197	14	14	14	NUM
cord-314725-og0ybfzf	197	15	day	day	NOUN
cord-314725-og0ybfzf	197	16	interval	interval	NOUN
cord-314725-og0ybfzf	197	17	estimations	estimation	NOUN
cord-314725-og0ybfzf	197	18	of	of	ADP
cord-314725-og0ybfzf	197	19	a	a	PRON
cord-314725-og0ybfzf	197	20	and	and	CCONJ
cord-314725-og0ybfzf	197	21	b	b	NOUN
cord-314725-og0ybfzf	197	22	are	be	AUX
cord-314725-og0ybfzf	197	23	given	give	VERB
cord-314725-og0ybfzf	197	24	in	in	ADP
cord-314725-og0ybfzf	197	25	fig	fig	NOUN
cord-314725-og0ybfzf	197	26	.	.	PUNCT
cord-314725-og0ybfzf	197	27	9(d	9(d	NUM
cord-314725-og0ybfzf	197	28	)	)	PUNCT
cord-314725-og0ybfzf	197	29	.	.	PUNCT
cord-314725-og0ybfzf	198	1	the	the	DET
cord-314725-og0ybfzf	198	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	198	3	rate	rate	NOUN
cord-314725-og0ybfzf	198	4	has	have	AUX
cord-314725-og0ybfzf	198	5	been	be	AUX
cord-314725-og0ybfzf	198	6	less	less	ADJ
cord-314725-og0ybfzf	198	7	than	than	ADP
cord-314725-og0ybfzf	198	8	one	one	NUM
cord-314725-og0ybfzf	198	9	since	since	SCONJ
cord-314725-og0ybfzf	198	10	the	the	DET
cord-314725-og0ybfzf	198	11	middle	middle	NOUN
cord-314725-og0ybfzf	198	12	of	of	ADP
cord-314725-og0ybfzf	198	13	april	april	PROPN
cord-314725-og0ybfzf	198	14	,	,	PUNCT
cord-314725-og0ybfzf	198	15	leading	lead	VERB
cord-314725-og0ybfzf	198	16	to	to	ADP
cord-314725-og0ybfzf	198	17	decrease	decrease	NOUN
cord-314725-og0ybfzf	198	18	of	of	ADP
cord-314725-og0ybfzf	198	19	the	the	DET
cord-314725-og0ybfzf	198	20	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	198	21	spread	spread	NOUN
cord-314725-og0ybfzf	198	22	.	.	PUNCT
cord-314725-og0ybfzf	199	1	for	for	ADP
cord-314725-og0ybfzf	199	2	the	the	DET
cord-314725-og0ybfzf	199	3	last	last	ADJ
cord-314725-og0ybfzf	199	4	week	week	NOUN
cord-314725-og0ybfzf	199	5	the	the	DET
cord-314725-og0ybfzf	199	6	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	199	7	rate	rate	NOUN
cord-314725-og0ybfzf	199	8	tends	tend	VERB
cord-314725-og0ybfzf	199	9	to	to	PART
cord-314725-og0ybfzf	199	10	increase	increase	VERB
cord-314725-og0ybfzf	199	11	.	.	PUNCT
cord-314725-og0ybfzf	200	1	(	(	PUNCT
cord-314725-og0ybfzf	200	2	c	c	NOUN
cord-314725-og0ybfzf	200	3	)	)	PUNCT
cord-314725-og0ybfzf	200	4	(	(	PUNCT
cord-314725-og0ybfzf	200	5	d	d	NOUN
cord-314725-og0ybfzf	200	6	)	)	PUNCT
cord-314725-og0ybfzf	200	7	figure	figure	NOUN
cord-314725-og0ybfzf	200	8	9	9	NUM
cord-314725-og0ybfzf	200	9	:	:	PUNCT
cord-314725-og0ybfzf	200	10	estimated	estimate	VERB
cord-314725-og0ybfzf	200	11	values	value	NOUN
cord-314725-og0ybfzf	200	12	of	of	ADP
cord-314725-og0ybfzf	200	13	a	a	DET
cord-314725-og0ybfzf	200	14	,	,	PUNCT
cord-314725-og0ybfzf	200	15	b	b	PROPN
cord-314725-og0ybfzf	200	16	,	,	PUNCT
cord-314725-og0ybfzf	200	17	ρ	ρ	NOUN
cord-314725-og0ybfzf	200	18	used	use	VERB
cord-314725-og0ybfzf	200	19	for	for	ADP
cord-314725-og0ybfzf	200	20	projections	projection	NOUN
cord-314725-og0ybfzf	200	21	of	of	ADP
cord-314725-og0ybfzf	200	22	i	i	PRON
cord-314725-og0ybfzf	200	23	for	for	ADP
cord-314725-og0ybfzf	200	24	germany	germany	PROPN
cord-314725-og0ybfzf	200	25	4.7	4.7	NUM
cord-314725-og0ybfzf	200	26	.	.	PUNCT
cord-314725-og0ybfzf	200	27	sweden	sweden	PROPN
cord-314725-og0ybfzf	200	28	fig	fig	PROPN
cord-314725-og0ybfzf	200	29	.	.	PUNCT
cord-314725-og0ybfzf	200	30	10(a)-(c	10(a)-(c	NUM
cord-314725-og0ybfzf	200	31	)	)	PUNCT
cord-314725-og0ybfzf	200	32	presents	present	VERB
cord-314725-og0ybfzf	200	33	the	the	DET
cord-314725-og0ybfzf	200	34	obtained	obtain	VERB
cord-314725-og0ybfzf	200	35	values	value	NOUN
cord-314725-og0ybfzf	200	36	of	of	ADP
cord-314725-og0ybfzf	200	37	the	the	DET
cord-314725-og0ybfzf	200	38	parameters	parameter	NOUN
cord-314725-og0ybfzf	200	39	a	a	PRON
cord-314725-og0ybfzf	200	40	,	,	PUNCT
cord-314725-og0ybfzf	200	41	b	b	NOUN
cord-314725-og0ybfzf	200	42	,	,	PUNCT
cord-314725-og0ybfzf	200	43	and	and	CCONJ
cord-314725-og0ybfzf	200	44	ρ	ρ	NOUN
cord-314725-og0ybfzf	200	45	as	as	ADP
cord-314725-og0ybfzf	200	46	functions	function	NOUN
cord-314725-og0ybfzf	200	47	of	of	ADP
cord-314725-og0ybfzf	200	48	time	time	NOUN
cord-314725-og0ybfzf	200	49	,	,	PUNCT
cord-314725-og0ybfzf	200	50	calculated	calculate	VERB
cord-314725-og0ybfzf	200	51	over	over	ADP
cord-314725-og0ybfzf	200	52	7	7	NUM
cord-314725-og0ybfzf	200	53	,	,	PUNCT
cord-314725-og0ybfzf	200	54	10	10	NUM
cord-314725-og0ybfzf	200	55	,	,	PUNCT
cord-314725-og0ybfzf	200	56	and	and	CCONJ
cord-314725-og0ybfzf	200	57	14	14	NUM
cord-314725-og0ybfzf	200	58	day	day	NOUN
cord-314725-og0ybfzf	200	59	intervals	interval	NOUN
cord-314725-og0ybfzf	200	60	.	.	PUNCT
cord-314725-og0ybfzf	201	1	the	the	DET
cord-314725-og0ybfzf	201	2	values	value	NOUN
cord-314725-og0ybfzf	201	3	of	of	ADP
cord-314725-og0ybfzf	201	4	a	a	DET
cord-314725-og0ybfzf	201	5	,	,	PUNCT
cord-314725-og0ybfzf	201	6	b	b	NOUN
cord-314725-og0ybfzf	201	7	,	,	PUNCT
cord-314725-og0ybfzf	201	8	and	and	CCONJ
cord-314725-og0ybfzf	201	9	ρ	ρ	NOUN
cord-314725-og0ybfzf	201	10	for	for	ADP
cord-314725-og0ybfzf	201	11	the	the	DET
cord-314725-og0ybfzf	201	12	last	last	ADJ
cord-314725-og0ybfzf	201	13	day	day	NOUN
cord-314725-og0ybfzf	201	14	are	be	AUX
cord-314725-og0ybfzf	201	15	given	give	VERB
cord-314725-og0ybfzf	201	16	in	in	ADP
cord-314725-og0ybfzf	201	17	table	table	NOUN
cord-314725-og0ybfzf	201	18	7	7	NUM
cord-314725-og0ybfzf	201	19	.	.	PUNCT
cord-314725-og0ybfzf	202	1	three	three	NUM
cord-314725-og0ybfzf	202	2	forecasts	forecast	NOUN
cord-314725-og0ybfzf	202	3	,	,	PUNCT
cord-314725-og0ybfzf	202	4	based	base	VERB
cord-314725-og0ybfzf	202	5	on	on	ADP
cord-314725-og0ybfzf	202	6	the	the	DET
cord-314725-og0ybfzf	202	7	last	last	ADJ
cord-314725-og0ybfzf	202	8	7	7	NUM
cord-314725-og0ybfzf	202	9	,	,	PUNCT
cord-314725-og0ybfzf	202	10	10	10	NUM
cord-314725-og0ybfzf	202	11	and	and	CCONJ
cord-314725-og0ybfzf	202	12	14	14	NUM
cord-314725-og0ybfzf	202	13	day	day	NOUN
cord-314725-og0ybfzf	202	14	interval	interval	NOUN
cord-314725-og0ybfzf	202	15	estimations	estimation	NOUN
cord-314725-og0ybfzf	202	16	of	of	ADP
cord-314725-og0ybfzf	202	17	a	a	PRON
cord-314725-og0ybfzf	202	18	and	and	CCONJ
cord-314725-og0ybfzf	202	19	b	b	NOUN
cord-314725-og0ybfzf	202	20	are	be	AUX
cord-314725-og0ybfzf	202	21	given	give	VERB
cord-314725-og0ybfzf	202	22	in	in	ADP
cord-314725-og0ybfzf	202	23	fig	fig	PROPN
cord-314725-og0ybfzf	202	24	.	.	PUNCT
cord-314725-og0ybfzf	203	1	10(d	10(d	NUM
cord-314725-og0ybfzf	203	2	)	)	PUNCT
cord-314725-og0ybfzf	203	3	.	.	PUNCT
cord-314725-og0ybfzf	204	1	the	the	DET
cord-314725-og0ybfzf	204	2	authors	author	NOUN
cord-314725-og0ybfzf	204	3	could	could	AUX
cord-314725-og0ybfzf	204	4	not	not	PART
cord-314725-og0ybfzf	204	5	find	find	VERB
cord-314725-og0ybfzf	204	6	detailed	detailed	ADJ
cord-314725-og0ybfzf	204	7	data	datum	NOUN
cord-314725-og0ybfzf	204	8	for	for	ADP
cord-314725-og0ybfzf	204	9	sweden	sweden	PROPN
cord-314725-og0ybfzf	204	10	after	after	ADP
cord-314725-og0ybfzf	204	11	may	may	PROPN
cord-314725-og0ybfzf	204	12	30	30	NUM
cord-314725-og0ybfzf	204	13	.	.	PUNCT
cord-314725-og0ybfzf	205	1	table	table	NOUN
cord-314725-og0ybfzf	205	2	8	8	NUM
cord-314725-og0ybfzf	205	3	.	.	PUNCT
cord-314725-og0ybfzf	206	1	three	three	NUM
cord-314725-og0ybfzf	206	2	projections	projection	NOUN
cord-314725-og0ybfzf	206	3	,	,	PUNCT
cord-314725-og0ybfzf	206	4	based	base	VERB
cord-314725-og0ybfzf	206	5	on	on	ADP
cord-314725-og0ybfzf	206	6	the	the	DET
cord-314725-og0ybfzf	206	7	last	last	ADJ
cord-314725-og0ybfzf	206	8	7	7	NUM
cord-314725-og0ybfzf	206	9	,	,	PUNCT
cord-314725-og0ybfzf	206	10	10	10	NUM
cord-314725-og0ybfzf	206	11	and	and	CCONJ
cord-314725-og0ybfzf	206	12	14	14	NUM
cord-314725-og0ybfzf	206	13	day	day	NOUN
cord-314725-og0ybfzf	206	14	interval	interval	NOUN
cord-314725-og0ybfzf	206	15	estimations	estimation	NOUN
cord-314725-og0ybfzf	206	16	of	of	ADP
cord-314725-og0ybfzf	206	17	a	a	PRON
cord-314725-og0ybfzf	206	18	and	and	CCONJ
cord-314725-og0ybfzf	206	19	b	b	NOUN
cord-314725-og0ybfzf	206	20	are	be	AUX
cord-314725-og0ybfzf	206	21	given	give	VERB
cord-314725-og0ybfzf	206	22	in	in	ADP
cord-314725-og0ybfzf	206	23	fig	fig	PROPN
cord-314725-og0ybfzf	206	24	.	.	PUNCT
cord-314725-og0ybfzf	206	25	11(d	11(d	NUM
cord-314725-og0ybfzf	206	26	)	)	PUNCT
cord-314725-og0ybfzf	206	27	.	.	PUNCT
cord-314725-og0ybfzf	207	1	russia	russia	PROPN
cord-314725-og0ybfzf	207	2	flattened	flatten	VERB
cord-314725-og0ybfzf	207	3	the	the	DET
cord-314725-og0ybfzf	207	4	curve	curve	NOUN
cord-314725-og0ybfzf	207	5	of	of	ADP
cord-314725-og0ybfzf	207	6	the	the	DET
cord-314725-og0ybfzf	207	7	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	207	8	rate	rate	NOUN
cord-314725-og0ybfzf	207	9	ρ	ρ	NUM
cord-314725-og0ybfzf	207	10	,	,	PUNCT
cord-314725-og0ybfzf	207	11	with	with	ADP
cord-314725-og0ybfzf	207	12	values	value	NOUN
cord-314725-og0ybfzf	207	13	being	be	AUX
cord-314725-og0ybfzf	207	14	around	around	ADP
cord-314725-og0ybfzf	207	15	one	one	NUM
cord-314725-og0ybfzf	207	16	lately	lately	ADV
cord-314725-og0ybfzf	207	17	.	.	PUNCT
cord-314725-og0ybfzf	208	1	table	table	NOUN
cord-314725-og0ybfzf	208	2	9	9	NUM
cord-314725-og0ybfzf	208	3	.	.	PUNCT
cord-314725-og0ybfzf	209	1	three	three	NUM
cord-314725-og0ybfzf	209	2	projections	projection	NOUN
cord-314725-og0ybfzf	209	3	,	,	PUNCT
cord-314725-og0ybfzf	209	4	based	base	VERB
cord-314725-og0ybfzf	209	5	on	on	ADP
cord-314725-og0ybfzf	209	6	the	the	DET
cord-314725-og0ybfzf	209	7	last	last	ADJ
cord-314725-og0ybfzf	209	8	7	7	NUM
cord-314725-og0ybfzf	209	9	,	,	PUNCT
cord-314725-og0ybfzf	209	10	10	10	NUM
cord-314725-og0ybfzf	209	11	,	,	PUNCT
cord-314725-og0ybfzf	209	12	and	and	CCONJ
cord-314725-og0ybfzf	209	13	14	14	NUM
cord-314725-og0ybfzf	209	14	day	day	NOUN
cord-314725-og0ybfzf	209	15	interval	interval	NOUN
cord-314725-og0ybfzf	209	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	209	17	of	of	ADP
cord-314725-og0ybfzf	209	18	a	a	PRON
cord-314725-og0ybfzf	209	19	and	and	CCONJ
cord-314725-og0ybfzf	209	20	b	b	NOUN
cord-314725-og0ybfzf	209	21	are	be	AUX
cord-314725-og0ybfzf	209	22	given	give	VERB
cord-314725-og0ybfzf	209	23	in	in	ADP
cord-314725-og0ybfzf	209	24	fig	fig	PROPN
cord-314725-og0ybfzf	209	25	.	.	PUNCT
cord-314725-og0ybfzf	210	1	12(d	12(d	NUM
cord-314725-og0ybfzf	210	2	)	)	PUNCT
cord-314725-og0ybfzf	210	3	.	.	PUNCT
cord-314725-og0ybfzf	211	1	the	the	DET
cord-314725-og0ybfzf	211	2	transmission	transmission	NOUN
cord-314725-og0ybfzf	211	3	rate	rate	NOUN
cord-314725-og0ybfzf	211	4	a	a	DET
cord-314725-og0ybfzf	211	5	decreases	decrease	NOUN
cord-314725-og0ybfzf	211	6	;	;	PUNCT
cord-314725-og0ybfzf	211	7	however	however	ADV
cord-314725-og0ybfzf	211	8	,	,	PUNCT
cord-314725-og0ybfzf	211	9	the	the	DET
cord-314725-og0ybfzf	211	10	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	211	11	rate	rate	NOUN
cord-314725-og0ybfzf	211	12	ρ	ρ	NOUN
cord-314725-og0ybfzf	211	13	is	be	AUX
cord-314725-og0ybfzf	211	14	still	still	ADV
cord-314725-og0ybfzf	211	15	greater	great	ADJ
cord-314725-og0ybfzf	211	16	than	than	ADP
cord-314725-og0ybfzf	211	17	one	one	NUM
cord-314725-og0ybfzf	211	18	.	.	PUNCT
cord-314725-og0ybfzf	212	1	table	table	NOUN
cord-314725-og0ybfzf	212	2	10	10	NUM
cord-314725-og0ybfzf	212	3	.	.	PUNCT
cord-314725-og0ybfzf	213	1	the	the	DET
cord-314725-og0ybfzf	213	2	projections	projection	NOUN
cord-314725-og0ybfzf	213	3	,	,	PUNCT
cord-314725-og0ybfzf	213	4	based	base	VERB
cord-314725-og0ybfzf	213	5	on	on	ADP
cord-314725-og0ybfzf	213	6	the	the	DET
cord-314725-og0ybfzf	213	7	last	last	ADJ
cord-314725-og0ybfzf	213	8	7	7	NUM
cord-314725-og0ybfzf	213	9	,	,	PUNCT
cord-314725-og0ybfzf	213	10	10	10	NUM
cord-314725-og0ybfzf	213	11	,	,	PUNCT
cord-314725-og0ybfzf	213	12	and	and	CCONJ
cord-314725-og0ybfzf	213	13	14	14	NUM
cord-314725-og0ybfzf	213	14	day	day	NOUN
cord-314725-og0ybfzf	213	15	interval	interval	NOUN
cord-314725-og0ybfzf	213	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	213	17	of	of	ADP
cord-314725-og0ybfzf	213	18	a	a	PRON
cord-314725-og0ybfzf	213	19	and	and	CCONJ
cord-314725-og0ybfzf	213	20	b	b	NOUN
cord-314725-og0ybfzf	213	21	are	be	AUX
cord-314725-og0ybfzf	213	22	given	give	VERB
cord-314725-og0ybfzf	213	23	in	in	ADP
cord-314725-og0ybfzf	213	24	fig	fig	PROPN
cord-314725-og0ybfzf	213	25	.	.	PUNCT
cord-314725-og0ybfzf	214	1	13(d	13(d	NUM
cord-314725-og0ybfzf	214	2	)	)	PUNCT
cord-314725-og0ybfzf	214	3	.	.	PUNCT
cord-314725-og0ybfzf	215	1	the	the	DET
cord-314725-og0ybfzf	215	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	215	3	rate	rate	NOUN
cord-314725-og0ybfzf	215	4	ρ	ρ	PROPN
cord-314725-og0ybfzf	215	5	was	be	AUX
cord-314725-og0ybfzf	215	6	less	less	ADJ
cord-314725-og0ybfzf	215	7	than	than	ADP
cord-314725-og0ybfzf	215	8	one	one	NUM
cord-314725-og0ybfzf	215	9	for	for	ADP
cord-314725-og0ybfzf	215	10	a	a	DET
cord-314725-og0ybfzf	215	11	while	while	NOUN
cord-314725-og0ybfzf	215	12	,	,	PUNCT
cord-314725-og0ybfzf	215	13	however	however	ADV
cord-314725-og0ybfzf	215	14	,	,	PUNCT
cord-314725-og0ybfzf	215	15	is	be	AUX
cord-314725-og0ybfzf	215	16	started	start	VERB
cord-314725-og0ybfzf	215	17	to	to	PART
cord-314725-og0ybfzf	215	18	increase	increase	VERB
cord-314725-og0ybfzf	215	19	about	about	ADV
cord-314725-og0ybfzf	215	20	two	two	NUM
cord-314725-og0ybfzf	215	21	weeks	week	NOUN
cord-314725-og0ybfzf	215	22	ago	ago	ADP
cord-314725-og0ybfzf	215	23	.	.	PUNCT
cord-314725-og0ybfzf	216	1	table	table	NOUN
cord-314725-og0ybfzf	216	2	11	11	NUM
cord-314725-og0ybfzf	216	3	.	.	PUNCT
cord-314725-og0ybfzf	217	1	the	the	DET
cord-314725-og0ybfzf	217	2	projections	projection	NOUN
cord-314725-og0ybfzf	217	3	,	,	PUNCT
cord-314725-og0ybfzf	217	4	based	base	VERB
cord-314725-og0ybfzf	217	5	on	on	ADP
cord-314725-og0ybfzf	217	6	the	the	DET
cord-314725-og0ybfzf	217	7	last	last	ADJ
cord-314725-og0ybfzf	217	8	7	7	NUM
cord-314725-og0ybfzf	217	9	,	,	PUNCT
cord-314725-og0ybfzf	217	10	10	10	NUM
cord-314725-og0ybfzf	217	11	,	,	PUNCT
cord-314725-og0ybfzf	217	12	and	and	CCONJ
cord-314725-og0ybfzf	217	13	14	14	NUM
cord-314725-og0ybfzf	217	14	day	day	NOUN
cord-314725-og0ybfzf	217	15	interval	interval	NOUN
cord-314725-og0ybfzf	217	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	217	17	of	of	ADP
cord-314725-og0ybfzf	217	18	a	a	PRON
cord-314725-og0ybfzf	217	19	and	and	CCONJ
cord-314725-og0ybfzf	217	20	b	b	NOUN
cord-314725-og0ybfzf	217	21	are	be	AUX
cord-314725-og0ybfzf	217	22	given	give	VERB
cord-314725-og0ybfzf	217	23	in	in	ADP
cord-314725-og0ybfzf	217	24	fig	fig	PROPN
cord-314725-og0ybfzf	217	25	.	.	PUNCT
cord-314725-og0ybfzf	218	1	14(d	14(d	NUM
cord-314725-og0ybfzf	218	2	)	)	PUNCT
cord-314725-og0ybfzf	218	3	.	.	PUNCT
cord-314725-og0ybfzf	219	1	the	the	DET
cord-314725-og0ybfzf	219	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	219	3	rate	rate	NOUN
cord-314725-og0ybfzf	219	4	became	become	VERB
cord-314725-og0ybfzf	219	5	less	less	ADJ
cord-314725-og0ybfzf	219	6	than	than	ADP
cord-314725-og0ybfzf	219	7	one	one	NUM
cord-314725-og0ybfzf	219	8	early	early	ADV
cord-314725-og0ybfzf	219	9	may	may	AUX
cord-314725-og0ybfzf	219	10	,	,	PUNCT
cord-314725-og0ybfzf	219	11	causing	cause	VERB
cord-314725-og0ybfzf	219	12	the	the	DET
cord-314725-og0ybfzf	219	13	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	219	14	spread	spread	VERB
cord-314725-og0ybfzf	219	15	to	to	PART
cord-314725-og0ybfzf	219	16	decrease	decrease	VERB
cord-314725-og0ybfzf	219	17	.	.	PUNCT
cord-314725-og0ybfzf	220	1	table	table	NOUN
cord-314725-og0ybfzf	220	2	12	12	NUM
cord-314725-og0ybfzf	220	3	.	.	PUNCT
cord-314725-og0ybfzf	221	1	the	the	DET
cord-314725-og0ybfzf	221	2	projections	projection	NOUN
cord-314725-og0ybfzf	221	3	,	,	PUNCT
cord-314725-og0ybfzf	221	4	based	base	VERB
cord-314725-og0ybfzf	221	5	on	on	ADP
cord-314725-og0ybfzf	221	6	the	the	DET
cord-314725-og0ybfzf	221	7	last	last	ADJ
cord-314725-og0ybfzf	221	8	7	7	NUM
cord-314725-og0ybfzf	221	9	,	,	PUNCT
cord-314725-og0ybfzf	221	10	10	10	NUM
cord-314725-og0ybfzf	221	11	,	,	PUNCT
cord-314725-og0ybfzf	221	12	and	and	CCONJ
cord-314725-og0ybfzf	221	13	14	14	NUM
cord-314725-og0ybfzf	221	14	day	day	NOUN
cord-314725-og0ybfzf	221	15	interval	interval	NOUN
cord-314725-og0ybfzf	221	16	estimations	estimation	NOUN
cord-314725-og0ybfzf	221	17	of	of	ADP
cord-314725-og0ybfzf	221	18	a	a	PRON
cord-314725-og0ybfzf	221	19	and	and	CCONJ
cord-314725-og0ybfzf	221	20	b	b	NOUN
cord-314725-og0ybfzf	221	21	are	be	AUX
cord-314725-og0ybfzf	221	22	given	give	VERB
cord-314725-og0ybfzf	221	23	in	in	ADP
cord-314725-og0ybfzf	221	24	fig	fig	NOUN
cord-314725-og0ybfzf	221	25	.	.	PUNCT
cord-314725-og0ybfzf	222	1	15(d	15(d	NUM
cord-314725-og0ybfzf	222	2	)	)	PUNCT
cord-314725-og0ybfzf	222	3	.	.	PUNCT
cord-314725-og0ybfzf	223	1	the	the	DET
cord-314725-og0ybfzf	223	2	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	223	3	rate	rate	NOUN
cord-314725-og0ybfzf	223	4	became	become	VERB
cord-314725-og0ybfzf	223	5	greater	great	ADJ
cord-314725-og0ybfzf	223	6	than	than	ADP
cord-314725-og0ybfzf	223	7	one	one	NUM
cord-314725-og0ybfzf	223	8	during	during	ADP
cord-314725-og0ybfzf	223	9	the	the	DET
cord-314725-og0ybfzf	223	10	last	last	ADJ
cord-314725-og0ybfzf	223	11	three	three	NUM
cord-314725-og0ybfzf	223	12	weeks	week	NOUN
cord-314725-og0ybfzf	223	13	.	.	PUNCT
cord-314725-og0ybfzf	224	1	there	there	PRON
cord-314725-og0ybfzf	224	2	are	be	VERB
cord-314725-og0ybfzf	224	3	similarities	similarity	NOUN
cord-314725-og0ybfzf	224	4	between	between	ADP
cord-314725-og0ybfzf	224	5	the	the	DET
cord-314725-og0ybfzf	224	6	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	224	7	spread	spread	VERB
cord-314725-og0ybfzf	224	8	for	for	ADP
cord-314725-og0ybfzf	224	9	some	some	DET
cord-314725-og0ybfzf	224	10	countries	country	NOUN
cord-314725-og0ybfzf	224	11	.	.	PUNCT
cord-314725-og0ybfzf	225	1	fig	fig	NOUN
cord-314725-og0ybfzf	225	2	.	.	PUNCT
cord-314725-og0ybfzf	226	1	17	17	NUM
cord-314725-og0ybfzf	226	2	presents	present	VERB
cord-314725-og0ybfzf	226	3	the	the	DET
cord-314725-og0ybfzf	226	4	obtained	obtain	VERB
cord-314725-og0ybfzf	226	5	values	value	NOUN
cord-314725-og0ybfzf	226	6	of	of	ADP
cord-314725-og0ybfzf	226	7	the	the	DET
cord-314725-og0ybfzf	226	8	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	226	9	rate	rate	NOUN
cord-314725-og0ybfzf	226	10	ρ	ρ	NOUN
cord-314725-og0ybfzf	226	11	as	as	ADP
cord-314725-og0ybfzf	226	12	function	function	NOUN
cord-314725-og0ybfzf	226	13	of	of	ADP
cord-314725-og0ybfzf	226	14	time	time	NOUN
cord-314725-og0ybfzf	226	15	,	,	PUNCT
cord-314725-og0ybfzf	226	16	calculated	calculate	VERB
cord-314725-og0ybfzf	226	17	over	over	ADP
cord-314725-og0ybfzf	226	18	7	7	NUM
cord-314725-og0ybfzf	226	19	day	day	NOUN
cord-314725-og0ybfzf	226	20	intervals	interval	NOUN
cord-314725-og0ybfzf	226	21	,	,	PUNCT
cord-314725-og0ybfzf	226	22	for	for	ADP
cord-314725-og0ybfzf	226	23	four	four	NUM
cord-314725-og0ybfzf	226	24	european	european	ADJ
cord-314725-og0ybfzf	226	25	countries	country	NOUN
cord-314725-og0ybfzf	226	26	:	:	PUNCT
cord-314725-og0ybfzf	226	27	france	france	PROPN
cord-314725-og0ybfzf	226	28	;	;	PUNCT
cord-314725-og0ybfzf	226	29	germany	germany	PROPN
cord-314725-og0ybfzf	226	30	;	;	PUNCT
cord-314725-og0ybfzf	226	31	italy	italy	PROPN
cord-314725-og0ybfzf	226	32	;	;	PUNCT
cord-314725-og0ybfzf	226	33	and	and	CCONJ
cord-314725-og0ybfzf	226	34	bulgaria	bulgaria	PROPN
cord-314725-og0ybfzf	226	35	.	.	PUNCT
cord-314725-og0ybfzf	227	1	the	the	DET
cord-314725-og0ybfzf	227	2	obtained	obtain	VERB
cord-314725-og0ybfzf	227	3	values	value	NOUN
cord-314725-og0ybfzf	227	4	of	of	ADP
cord-314725-og0ybfzf	227	5	the	the	DET
cord-314725-og0ybfzf	227	6	reproduction	reproduction	NOUN
cord-314725-og0ybfzf	227	7	rate	rate	NOUN
cord-314725-og0ybfzf	227	8	ρ	ρ	NOUN
cord-314725-og0ybfzf	227	9	as	as	ADP
cord-314725-og0ybfzf	227	10	function	function	NOUN
cord-314725-og0ybfzf	227	11	of	of	ADP
cord-314725-og0ybfzf	227	12	time	time	NOUN
cord-314725-og0ybfzf	227	13	,	,	PUNCT
cord-314725-og0ybfzf	227	14	also	also	ADV
cord-314725-og0ybfzf	227	15	calculated	calculate	VERB
cord-314725-og0ybfzf	227	16	over	over	ADP
cord-314725-og0ybfzf	227	17	7	7	NUM
cord-314725-og0ybfzf	227	18	day	day	NOUN
cord-314725-og0ybfzf	227	19	intervals	interval	NOUN
cord-314725-og0ybfzf	227	20	,	,	PUNCT
cord-314725-og0ybfzf	227	21	for	for	ADP
cord-314725-og0ybfzf	227	22	the	the	DET
cord-314725-og0ybfzf	227	23	world	world	NOUN
cord-314725-og0ybfzf	227	24	,	,	PUNCT
cord-314725-og0ybfzf	227	25	the	the	DET
cord-314725-og0ybfzf	227	26	united	united	PROPN
cord-314725-og0ybfzf	227	27	states	states	PROPN
cord-314725-og0ybfzf	227	28	of	of	ADP
cord-314725-og0ybfzf	227	29	america	america	PROPN
cord-314725-og0ybfzf	227	30	,	,	PUNCT
cord-314725-og0ybfzf	227	31	russia	russia	PROPN
cord-314725-og0ybfzf	227	32	,	,	PUNCT
cord-314725-og0ybfzf	227	33	and	and	CCONJ
cord-314725-og0ybfzf	227	34	brazil	brazil	PROPN
cord-314725-og0ybfzf	227	35	are	be	AUX
cord-314725-og0ybfzf	227	36	shown	show	VERB
cord-314725-og0ybfzf	227	37	in	in	ADP
cord-314725-og0ybfzf	227	38	fig	fig	PROPN
cord-314725-og0ybfzf	227	39	.	.	PUNCT
cord-314725-og0ybfzf	228	1	18	18	NUM
cord-314725-og0ybfzf	228	2	.	.	PUNCT
cord-314725-og0ybfzf	229	1	the	the	DET
cord-314725-og0ybfzf	229	2	inverse	inverse	ADJ
cord-314725-og0ybfzf	229	3	problem	problem	NOUN
cord-314725-og0ybfzf	229	4	for	for	ADP
cord-314725-og0ybfzf	229	5	estimating	estimate	VERB
cord-314725-og0ybfzf	229	6	the	the	DET
cord-314725-og0ybfzf	229	7	time	time	NOUN
cord-314725-og0ybfzf	229	8	-	-	PUNCT
cord-314725-og0ybfzf	229	9	dependent	dependent	ADJ
cord-314725-og0ybfzf	229	10	transmission	transmission	NOUN
cord-314725-og0ybfzf	229	11	and	and	CCONJ
cord-314725-og0ybfzf	229	12	removal	removal	NOUN
cord-314725-og0ybfzf	229	13	rates	rate	NOUN
cord-314725-og0ybfzf	229	14	in	in	ADP
cord-314725-og0ybfzf	229	15	the	the	DET
cord-314725-og0ybfzf	229	16	sir	sir	PROPN
cord-314725-og0ybfzf	229	17	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	229	18	model	model	NOUN
cord-314725-og0ybfzf	229	19	is	be	AUX
cord-314725-og0ybfzf	229	20	derived	derive	VERB
cord-314725-og0ybfzf	229	21	and	and	CCONJ
cord-314725-og0ybfzf	229	22	solved	solve	VERB
cord-314725-og0ybfzf	229	23	.	.	PUNCT
cord-314725-og0ybfzf	230	1	the	the	DET
cord-314725-og0ybfzf	230	2	minimization	minimization	NOUN
cord-314725-og0ybfzf	230	3	problem	problem	NOUN
cord-314725-og0ybfzf	230	4	uses	use	VERB
cord-314725-og0ybfzf	230	5	the	the	DET
cord-314725-og0ybfzf	230	6	entire	entire	ADJ
cord-314725-og0ybfzf	230	7	dataset	dataset	NOUN
cord-314725-og0ybfzf	230	8	with	with	ADP
cord-314725-og0ybfzf	230	9	data	datum	NOUN
cord-314725-og0ybfzf	230	10	available	available	ADJ
cord-314725-og0ybfzf	230	11	on	on	ADP
cord-314725-og0ybfzf	230	12	june	june	PROPN
cord-314725-og0ybfzf	230	13	21	21	NUM
cord-314725-og0ybfzf	230	14	,	,	PUNCT
cord-314725-og0ybfzf	230	15	2020	2020	NUM
cord-314725-og0ybfzf	230	16	for	for	ADP
cord-314725-og0ybfzf	230	17	developments	development	NOUN
cord-314725-og0ybfzf	230	18	of	of	ADP
cord-314725-og0ybfzf	230	19	the	the	DET
cord-314725-og0ybfzf	230	20	disease	disease	NOUN
cord-314725-og0ybfzf	230	21	,	,	PUNCT
cord-314725-og0ybfzf	230	22	we	we	PRON
cord-314725-og0ybfzf	230	23	may	may	AUX
cord-314725-og0ybfzf	230	24	consider	consider	VERB
cord-314725-og0ybfzf	230	25	models	model	NOUN
cord-314725-og0ybfzf	230	26	addressing	address	VERB
cord-314725-og0ybfzf	230	27	non	non	ADJ
cord-314725-og0ybfzf	230	28	-	-	ADJ
cord-314725-og0ybfzf	230	29	constant	constant	ADJ
cord-314725-og0ybfzf	230	30	population	population	NOUN
cord-314725-og0ybfzf	230	31	,	,	PUNCT
cord-314725-og0ybfzf	230	32	latency	latency	NOUN
cord-314725-og0ybfzf	230	33	,	,	PUNCT
cord-314725-og0ybfzf	230	34	reinfection	reinfection	NOUN
cord-314725-og0ybfzf	230	35	,	,	PUNCT
cord-314725-og0ybfzf	230	36	and	and	CCONJ
cord-314725-og0ybfzf	230	37	vaccine	vaccine	NOUN
cord-314725-og0ybfzf	230	38	.	.	PUNCT
cord-314725-og0ybfzf	231	1	a	a	DET
cord-314725-og0ybfzf	231	2	deterministic	deterministic	ADJ
cord-314725-og0ybfzf	231	3	model	model	NOUN
cord-314725-og0ybfzf	231	4	for	for	ADP
cord-314725-og0ybfzf	231	5	highly	highly	ADV
cord-314725-og0ybfzf	231	6	contagious	contagious	ADJ
cord-314725-og0ybfzf	231	7	diseases	disease	NOUN
cord-314725-og0ybfzf	231	8	:	:	PUNCT
cord-314725-og0ybfzf	231	9	the	the	DET
cord-314725-og0ybfzf	231	10	case	case	NOUN
cord-314725-og0ybfzf	231	11	of	of	ADP
cord-314725-og0ybfzf	231	12	varicella	varicella	NOUN
cord-314725-og0ybfzf	231	13	classical	classical	ADJ
cord-314725-og0ybfzf	231	14	and	and	CCONJ
cord-314725-og0ybfzf	231	15	modern	modern	ADJ
cord-314725-og0ybfzf	231	16	numerical	numerical	ADJ
cord-314725-og0ybfzf	231	17	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	18	:	:	PUNCT
cord-314725-og0ybfzf	231	19	theory	theory	NOUN
cord-314725-og0ybfzf	231	20	,	,	PUNCT
cord-314725-og0ybfzf	231	21	methods	method	NOUN
cord-314725-og0ybfzf	231	22	and	and	CCONJ
cord-314725-og0ybfzf	231	23	practice	practice	NOUN
cord-314725-og0ybfzf	231	24	,	,	PUNCT
cord-314725-og0ybfzf	231	25	chapman	chapman	PROPN
cord-314725-og0ybfzf	231	26	&	&	CCONJ
cord-314725-og0ybfzf	231	27	hall	hall	PROPN
cord-314725-og0ybfzf	231	28	/	/	SYM
cord-314725-og0ybfzf	231	29	crc	crc	PROPN
cord-314725-og0ybfzf	231	30	numerical	numerical	PROPN
cord-314725-og0ybfzf	231	31	analysis	analysis	PROPN
cord-314725-og0ybfzf	231	32	and	and	CCONJ
cord-314725-og0ybfzf	231	33	scientific	scientific	ADJ
cord-314725-og0ybfzf	231	34	computing	compute	VERB
cord-314725-og0ybfzf	231	35	infectious	infectious	ADJ
cord-314725-og0ybfzf	231	36	diseases	disease	NOUN
cord-314725-og0ybfzf	231	37	of	of	ADP
cord-314725-og0ybfzf	231	38	humans	human	NOUN
cord-314725-og0ybfzf	231	39	numerical	numerical	ADJ
cord-314725-og0ybfzf	231	40	modeling	modeling	NOUN
cord-314725-og0ybfzf	231	41	and	and	CCONJ
cord-314725-og0ybfzf	231	42	theoretical	theoretical	ADJ
cord-314725-og0ybfzf	231	43	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	44	of	of	ADP
cord-314725-og0ybfzf	231	45	a	a	DET
cord-314725-og0ybfzf	231	46	nonlinear	nonlinear	ADJ
cord-314725-og0ybfzf	231	47	advection	advection	NOUN
cord-314725-og0ybfzf	231	48	-	-	PUNCT
cord-314725-og0ybfzf	231	49	reaction	reaction	NOUN
cord-314725-og0ybfzf	231	50	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	231	51	system	system	NOUN
cord-314725-og0ybfzf	231	52	interepidemic	interepidemic	ADJ
cord-314725-og0ybfzf	231	53	intervals	interval	NOUN
cord-314725-og0ybfzf	231	54	in	in	ADP
cord-314725-og0ybfzf	231	55	forced	force	VERB
cord-314725-og0ybfzf	231	56	and	and	CCONJ
cord-314725-og0ybfzf	231	57	unforced	unforced	ADJ
cord-314725-og0ybfzf	231	58	seir	seir	NOUN
cord-314725-og0ybfzf	231	59	models	model	NOUN
cord-314725-og0ybfzf	231	60	modelling	model	VERB
cord-314725-og0ybfzf	231	61	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	231	62	methods	method	NOUN
cord-314725-og0ybfzf	231	63	and	and	CCONJ
cord-314725-og0ybfzf	231	64	scientific	scientific	ADJ
cord-314725-og0ybfzf	231	65	computation	computation	NOUN
cord-314725-og0ybfzf	231	66	an	an	DET
cord-314725-og0ybfzf	231	67	attempt	attempt	NOUN
cord-314725-og0ybfzf	231	68	at	at	ADP
cord-314725-og0ybfzf	231	69	a	a	DET
cord-314725-og0ybfzf	231	70	new	new	ADJ
cord-314725-og0ybfzf	231	71	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	72	of	of	ADP
cord-314725-og0ybfzf	231	73	the	the	DET
cord-314725-og0ybfzf	231	74	mortality	mortality	NOUN
cord-314725-og0ybfzf	231	75	caused	cause	VERB
cord-314725-og0ybfzf	231	76	by	by	ADP
cord-314725-og0ybfzf	231	77	smallpox	smallpox	NOUN
cord-314725-og0ybfzf	231	78	and	and	CCONJ
cord-314725-og0ybfzf	231	79	of	of	ADP
cord-314725-og0ybfzf	231	80	the	the	DET
cord-314725-og0ybfzf	231	81	advantages	advantage	NOUN
cord-314725-og0ybfzf	231	82	of	of	ADP
cord-314725-og0ybfzf	231	83	inoculation	inoculation	NOUN
cord-314725-og0ybfzf	231	84	to	to	PART
cord-314725-og0ybfzf	231	85	prevent	prevent	VERB
cord-314725-og0ybfzf	231	86	it	it	PRON
cord-314725-og0ybfzf	231	87	identification	identification	NOUN
cord-314725-og0ybfzf	231	88	of	of	ADP
cord-314725-og0ybfzf	231	89	heat	heat	NOUN
cord-314725-og0ybfzf	231	90	-	-	PUNCT
cord-314725-og0ybfzf	231	91	conduction	conduction	NOUN
cord-314725-og0ybfzf	231	92	coefficient	coefficient	NOUN
cord-314725-og0ybfzf	231	93	via	via	ADP
cord-314725-og0ybfzf	231	94	method	method	NOUN
cord-314725-og0ybfzf	231	95	of	of	ADP
cord-314725-og0ybfzf	231	96	variational	variational	NOUN
cord-314725-og0ybfzf	231	97	imbedding	imbed	VERB
cord-314725-og0ybfzf	231	98	a	a	DET
cord-314725-og0ybfzf	231	99	note	note	NOUN
cord-314725-og0ybfzf	231	100	on	on	ADP
cord-314725-og0ybfzf	231	101	the	the	DET
cord-314725-og0ybfzf	231	102	existence	existence	NOUN
cord-314725-og0ybfzf	231	103	and	and	CCONJ
cord-314725-og0ybfzf	231	104	stability	stability	NOUN
cord-314725-og0ybfzf	231	105	of	of	ADP
cord-314725-og0ybfzf	231	106	an	an	DET
cord-314725-og0ybfzf	231	107	inverse	inverse	ADJ
cord-314725-og0ybfzf	231	108	problem	problem	NOUN
cord-314725-og0ybfzf	231	109	for	for	ADP
cord-314725-og0ybfzf	231	110	a	a	DET
cord-314725-og0ybfzf	231	111	sis	sis	NOUN
cord-314725-og0ybfzf	231	112	model	model	NOUN
cord-314725-og0ybfzf	231	113	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	231	114	epidemiology	epidemiology	NOUN
cord-314725-og0ybfzf	231	115	of	of	ADP
cord-314725-og0ybfzf	231	116	infectious	infectious	ADJ
cord-314725-og0ybfzf	231	117	diseases	disease	NOUN
cord-314725-og0ybfzf	231	118	:	:	PUNCT
cord-314725-og0ybfzf	231	119	model	model	NOUN
cord-314725-og0ybfzf	231	120	building	building	NOUN
cord-314725-og0ybfzf	231	121	,	,	PUNCT
cord-314725-og0ybfzf	231	122	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	123	and	and	CCONJ
cord-314725-og0ybfzf	231	124	interpretation	interpretation	NOUN
cord-314725-og0ybfzf	231	125	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	126	and	and	CCONJ
cord-314725-og0ybfzf	231	127	forecast	forecast	NOUN
cord-314725-og0ybfzf	231	128	of	of	ADP
cord-314725-og0ybfzf	231	129	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	231	130	spreading	spread	VERB
cord-314725-og0ybfzf	231	131	in	in	ADP
cord-314725-og0ybfzf	231	132	china	china	PROPN
cord-314725-og0ybfzf	231	133	impact	impact	NOUN
cord-314725-og0ybfzf	231	134	of	of	ADP
cord-314725-og0ybfzf	231	135	non	non	ADJ
cord-314725-og0ybfzf	231	136	-	-	ADJ
cord-314725-og0ybfzf	231	137	pharmaceutical	pharmaceutical	ADJ
cord-314725-og0ybfzf	231	138	interventions	intervention	NOUN
cord-314725-og0ybfzf	231	139	(	(	PUNCT
cord-314725-og0ybfzf	231	140	npis	npis	PROPN
cord-314725-og0ybfzf	231	141	)	)	PUNCT
cord-314725-og0ybfzf	231	142	to	to	PART
cord-314725-og0ybfzf	231	143	reduce	reduce	VERB
cord-314725-og0ybfzf	231	144	covid19	covid19	ADJ
cord-314725-og0ybfzf	231	145	mortality	mortality	NOUN
cord-314725-og0ybfzf	231	146	and	and	CCONJ
cord-314725-og0ybfzf	231	147	healthcare	healthcare	NOUN
cord-314725-og0ybfzf	231	148	qualitative	qualitative	ADJ
cord-314725-og0ybfzf	231	149	study	study	NOUN
cord-314725-og0ybfzf	231	150	of	of	ADP
cord-314725-og0ybfzf	231	151	a	a	DET
cord-314725-og0ybfzf	231	152	stochastic	stochastic	ADJ
cord-314725-og0ybfzf	231	153	sirs	sir	NOUN
cord-314725-og0ybfzf	231	154	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	231	155	model	model	NOUN
cord-314725-og0ybfzf	231	156	with	with	ADP
cord-314725-og0ybfzf	231	157	information	information	NOUN
cord-314725-og0ybfzf	231	158	intervention	intervention	NOUN
cord-314725-og0ybfzf	231	159	the	the	DET
cord-314725-og0ybfzf	231	160	mathematics	mathematic	NOUN
cord-314725-og0ybfzf	231	161	of	of	ADP
cord-314725-og0ybfzf	231	162	infectious	infectious	ADJ
cord-314725-og0ybfzf	231	163	diseases	disease	NOUN
cord-314725-og0ybfzf	231	164	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	165	of	of	ADP
cord-314725-og0ybfzf	231	166	sir	sir	PROPN
cord-314725-og0ybfzf	231	167	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	231	168	model	model	NOUN
cord-314725-og0ybfzf	231	169	with	with	ADP
cord-314725-og0ybfzf	231	170	information	information	NOUN
cord-314725-og0ybfzf	231	171	spreading	spread	VERB
cord-314725-og0ybfzf	231	172	of	of	ADP
cord-314725-og0ybfzf	231	173	awareness	awareness	NOUN
cord-314725-og0ybfzf	231	174	a	a	DET
cord-314725-og0ybfzf	231	175	contribution	contribution	NOUN
cord-314725-og0ybfzf	231	176	to	to	ADP
cord-314725-og0ybfzf	231	177	the	the	DET
cord-314725-og0ybfzf	231	178	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	231	179	theory	theory	NOUN
cord-314725-og0ybfzf	231	180	of	of	ADP
cord-314725-og0ybfzf	231	181	epidemics	epidemic	NOUN
cord-314725-og0ybfzf	231	182	risk	risk	NOUN
cord-314725-og0ybfzf	231	183	estimation	estimation	NOUN
cord-314725-og0ybfzf	231	184	of	of	ADP
cord-314725-og0ybfzf	231	185	the	the	DET
cord-314725-og0ybfzf	231	186	sars	sar	NOUN
cord-314725-og0ybfzf	231	187	-	-	PUNCT
cord-314725-og0ybfzf	231	188	cov-2	cov-2	PUNCT
cord-314725-og0ybfzf	231	189	acute	acute	ADJ
cord-314725-og0ybfzf	231	190	respiratory	respiratory	ADJ
cord-314725-og0ybfzf	231	191	disease	disease	NOUN
cord-314725-og0ybfzf	231	192	outbreak	outbreak	NOUN
cord-314725-og0ybfzf	231	193	outside	outside	ADP
cord-314725-og0ybfzf	231	194	china	china	PROPN
cord-314725-og0ybfzf	231	195	early	early	ADJ
cord-314725-og0ybfzf	231	196	dynamics	dynamic	NOUN
cord-314725-og0ybfzf	231	197	of	of	ADP
cord-314725-og0ybfzf	231	198	transmission	transmission	NOUN
cord-314725-og0ybfzf	231	199	and	and	CCONJ
cord-314725-og0ybfzf	231	200	control	control	NOUN
cord-314725-og0ybfzf	231	201	of	of	ADP
cord-314725-og0ybfzf	231	202	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	231	203	:	:	PUNCT
cord-314725-og0ybfzf	231	204	a	a	DET
cord-314725-og0ybfzf	231	205	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	231	206	modelling	modelling	NOUN
cord-314725-og0ybfzf	231	207	study	study	NOUN
cord-314725-og0ybfzf	231	208	global	global	ADJ
cord-314725-og0ybfzf	231	209	stability	stability	NOUN
cord-314725-og0ybfzf	231	210	of	of	ADP
cord-314725-og0ybfzf	231	211	a	a	DET
cord-314725-og0ybfzf	231	212	network	network	NOUN
cord-314725-og0ybfzf	231	213	-	-	PUNCT
cord-314725-og0ybfzf	231	214	based	base	VERB
cord-314725-og0ybfzf	231	215	sirs	sir	NOUN
cord-314725-og0ybfzf	231	216	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	231	217	model	model	NOUN
cord-314725-og0ybfzf	231	218	with	with	ADP
cord-314725-og0ybfzf	231	219	nonmonotone	nonmonotone	PROPN
cord-314725-og0ybfzf	231	220	incidence	incidence	NOUN
cord-314725-og0ybfzf	231	221	rate	rate	NOUN
cord-314725-og0ybfzf	231	222	dynamical	dynamical	ADJ
cord-314725-og0ybfzf	231	223	behavior	behavior	NOUN
cord-314725-og0ybfzf	231	224	of	of	ADP
cord-314725-og0ybfzf	231	225	a	a	DET
cord-314725-og0ybfzf	231	226	stochastic	stochastic	NOUN
cord-314725-og0ybfzf	231	227	multigroup	multigroup	PROPN
cord-314725-og0ybfzf	231	228	sir	sir	PROPN
cord-314725-og0ybfzf	231	229	epidemic	epidemic	PROPN
cord-314725-og0ybfzf	231	230	model	model	NOUN
cord-314725-og0ybfzf	231	231	novel	novel	PROPN
cord-314725-og0ybfzf	231	232	numerical	numerical	ADJ
cord-314725-og0ybfzf	231	233	approach	approach	NOUN
cord-314725-og0ybfzf	231	234	to	to	ADP
cord-314725-og0ybfzf	231	235	solitary	solitary	ADJ
cord-314725-og0ybfzf	231	236	-	-	PUNCT
cord-314725-og0ybfzf	231	237	wave	wave	NOUN
cord-314725-og0ybfzf	231	238	solutions	solution	NOUN
cord-314725-og0ybfzf	231	239	identification	identification	NOUN
cord-314725-og0ybfzf	231	240	of	of	ADP
cord-314725-og0ybfzf	231	241	boussinesq	boussinesq	PROPN
cord-314725-og0ybfzf	231	242	and	and	CCONJ
cord-314725-og0ybfzf	231	243	korteweg	korteweg	PROPN
cord-314725-og0ybfzf	231	244	-	-	PUNCT
cord-314725-og0ybfzf	231	245	de	de	X
cord-314725-og0ybfzf	231	246	vries	vrie	NOUN
cord-314725-og0ybfzf	231	247	equations	equation	NOUN
cord-314725-og0ybfzf	231	248	coefficient	coefficient	NOUN
cord-314725-og0ybfzf	231	249	identification	identification	NOUN
cord-314725-og0ybfzf	231	250	in	in	ADP
cord-314725-og0ybfzf	231	251	euler	euler	VERB
cord-314725-og0ybfzf	231	252	-	-	PUNCT
cord-314725-og0ybfzf	231	253	bernoulli	bernoulli	ADJ
cord-314725-og0ybfzf	231	254	equation	equation	NOUN
cord-314725-og0ybfzf	231	255	from	from	ADP
cord-314725-og0ybfzf	231	256	over	over	ADV
cord-314725-og0ybfzf	231	257	-	-	PUNCT
cord-314725-og0ybfzf	231	258	posed	pose	VERB
cord-314725-og0ybfzf	231	259	data	datum	NOUN
cord-314725-og0ybfzf	231	260	inverse	inverse	NOUN
cord-314725-og0ybfzf	231	261	problem	problem	NOUN
cord-314725-og0ybfzf	231	262	for	for	ADP
cord-314725-og0ybfzf	231	263	coefficient	coefficient	ADJ
cord-314725-og0ybfzf	231	264	identification	identification	NOUN
cord-314725-og0ybfzf	231	265	in	in	ADP
cord-314725-og0ybfzf	231	266	sir	sir	PROPN
cord-314725-og0ybfzf	231	267	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	231	268	models	model	NOUN
cord-314725-og0ybfzf	231	269	,	,	PUNCT
cord-314725-og0ybfzf	231	270	computers	computer	NOUN
cord-314725-og0ybfzf	231	271	and	and	CCONJ
cord-314725-og0ybfzf	231	272	mathematics	mathematic	NOUN
cord-314725-og0ybfzf	231	273	with	with	ADP
cord-314725-og0ybfzf	231	274	applications	application	NOUN
cord-314725-og0ybfzf	231	275	coefficient	coefficient	NOUN
cord-314725-og0ybfzf	231	276	identification	identification	NOUN
cord-314725-og0ybfzf	231	277	in	in	ADP
cord-314725-og0ybfzf	231	278	elliptic	elliptic	ADJ
cord-314725-og0ybfzf	231	279	partial	partial	ADJ
cord-314725-og0ybfzf	231	280	differential	differential	ADJ
cord-314725-og0ybfzf	231	281	equation	equation	NOUN
cord-314725-og0ybfzf	231	282	inverse	inverse	NOUN
cord-314725-og0ybfzf	231	283	problem	problem	NOUN
cord-314725-og0ybfzf	231	284	for	for	ADP
cord-314725-og0ybfzf	231	285	coefficient	coefficient	ADJ
cord-314725-og0ybfzf	231	286	identification	identification	NOUN
cord-314725-og0ybfzf	231	287	in	in	ADP
cord-314725-og0ybfzf	231	288	euler	euler	VERB
cord-314725-og0ybfzf	231	289	-	-	PUNCT
cord-314725-og0ybfzf	231	290	bernoulli	bernoulli	PROPN
cord-314725-og0ybfzf	231	291	equation	equation	NOUN
cord-314725-og0ybfzf	231	292	clinical	clinical	ADJ
cord-314725-og0ybfzf	231	293	determinants	determinant	NOUN
cord-314725-og0ybfzf	231	294	of	of	ADP
cord-314725-og0ybfzf	231	295	the	the	DET
cord-314725-og0ybfzf	231	296	severity	severity	NOUN
cord-314725-og0ybfzf	231	297	of	of	ADP
cord-314725-og0ybfzf	231	298	middle	middle	PROPN
cord-314725-og0ybfzf	231	299	east	east	PROPN
cord-314725-og0ybfzf	231	300	respiratory	respiratory	ADJ
cord-314725-og0ybfzf	231	301	syndrome	syndrome	NOUN
cord-314725-og0ybfzf	231	302	(	(	PUNCT
cord-314725-og0ybfzf	231	303	mers	mer	NOUN
cord-314725-og0ybfzf	231	304	):	):	PUNCT
cord-314725-og0ybfzf	231	305	a	a	DET
cord-314725-og0ybfzf	231	306	systematic	systematic	ADJ
cord-314725-og0ybfzf	231	307	review	review	NOUN
cord-314725-og0ybfzf	231	308	and	and	CCONJ
cord-314725-og0ybfzf	231	309	meta	meta	NOUN
cord-314725-og0ybfzf	231	310	-	-	PUNCT
cord-314725-og0ybfzf	231	311	analysis	analysis	NOUN
cord-314725-og0ybfzf	231	312	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	231	313	biology	biology	NOUN
cord-314725-og0ybfzf	231	314	.	.	PUNCT
cord-314725-og0ybfzf	232	1	i.	i.	PROPN
cord-314725-og0ybfzf	232	2	an	an	DET
cord-314725-og0ybfzf	232	3	introduction	introduction	NOUN
cord-314725-og0ybfzf	232	4	serial	serial	ADJ
cord-314725-og0ybfzf	232	5	interval	interval	NOUN
cord-314725-og0ybfzf	232	6	of	of	ADP
cord-314725-og0ybfzf	232	7	novel	novel	NOUN
cord-314725-og0ybfzf	232	8	coronavirus	coronavirus	NOUN
cord-314725-og0ybfzf	232	9	(	(	PUNCT
cord-314725-og0ybfzf	232	10	covid-19	covid-19	NUM
cord-314725-og0ybfzf	232	11	)	)	PUNCT
cord-314725-og0ybfzf	232	12	infections	infection	NOUN
cord-314725-og0ybfzf	232	13	,	,	PUNCT
cord-314725-og0ybfzf	232	14	international	international	ADJ
cord-314725-og0ybfzf	232	15	journal	journal	NOUN
cord-314725-og0ybfzf	232	16	of	of	ADP
cord-314725-og0ybfzf	232	17	infectious	infectious	ADJ
cord-314725-og0ybfzf	232	18	diseases	disease	NOUN
cord-314725-og0ybfzf	232	19	characterization	characterization	NOUN
cord-314725-og0ybfzf	232	20	of	of	ADP
cord-314725-og0ybfzf	232	21	the	the	DET
cord-314725-og0ybfzf	232	22	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	232	23	pandemic	pandemic	NOUN
cord-314725-og0ybfzf	232	24	and	and	CCONJ
cord-314725-og0ybfzf	232	25	the	the	DET
cord-314725-og0ybfzf	232	26	impact	impact	NOUN
cord-314725-og0ybfzf	232	27	of	of	ADP
cord-314725-og0ybfzf	232	28	uncertainties	uncertainty	NOUN
cord-314725-og0ybfzf	232	29	,	,	PUNCT
cord-314725-og0ybfzf	232	30	mitigation	mitigation	NOUN
cord-314725-og0ybfzf	232	31	strategies	strategy	NOUN
cord-314725-og0ybfzf	232	32	,	,	PUNCT
cord-314725-og0ybfzf	232	33	and	and	CCONJ
cord-314725-og0ybfzf	232	34	underreporting	underreporte	VERB
cord-314725-og0ybfzf	232	35	of	of	ADP
cord-314725-og0ybfzf	232	36	cases	case	NOUN
cord-314725-og0ybfzf	232	37	in	in	ADP
cord-314725-og0ybfzf	232	38	south	south	PROPN
cord-314725-og0ybfzf	232	39	korea	korea	PROPN
cord-314725-og0ybfzf	232	40	,	,	PUNCT
cord-314725-og0ybfzf	232	41	italy	italy	PROPN
cord-314725-og0ybfzf	232	42	,	,	PUNCT
cord-314725-og0ybfzf	232	43	and	and	CCONJ
cord-314725-og0ybfzf	232	44	brazil	brazil	PROPN
cord-314725-og0ybfzf	232	45	mathematical	mathematical	PROPN
cord-314725-og0ybfzf	232	46	models	model	NOUN
cord-314725-og0ybfzf	232	47	in	in	ADP
cord-314725-og0ybfzf	232	48	biology	biology	NOUN
cord-314725-og0ybfzf	232	49	:	:	PUNCT
cord-314725-og0ybfzf	232	50	an	an	DET
cord-314725-og0ybfzf	232	51	introduction	introduction	NOUN
cord-314725-og0ybfzf	232	52	viral	viral	ADJ
cord-314725-og0ybfzf	232	53	evolution	evolution	NOUN
cord-314725-og0ybfzf	232	54	and	and	CCONJ
cord-314725-og0ybfzf	232	55	transmission	transmission	NOUN
cord-314725-og0ybfzf	232	56	effectiveness	effectiveness	NOUN
cord-314725-og0ybfzf	232	57	real	real	ADJ
cord-314725-og0ybfzf	232	58	-	-	PUNCT
cord-314725-og0ybfzf	232	59	time	time	NOUN
cord-314725-og0ybfzf	232	60	forecasts	forecast	NOUN
cord-314725-og0ybfzf	232	61	of	of	ADP
cord-314725-og0ybfzf	232	62	the	the	DET
cord-314725-og0ybfzf	232	63	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	232	64	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	232	65	in	in	ADP
cord-314725-og0ybfzf	232	66	china	china	PROPN
cord-314725-og0ybfzf	232	67	from	from	ADP
cord-314725-og0ybfzf	232	68	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	232	69	infection	infection	NOUN
cord-314725-og0ybfzf	232	70	:	:	PUNCT
cord-314725-og0ybfzf	232	71	origin	origin	NOUN
cord-314725-og0ybfzf	232	72	,	,	PUNCT
cord-314725-og0ybfzf	232	73	transmission	transmission	NOUN
cord-314725-og0ybfzf	232	74	,	,	PUNCT
cord-314725-og0ybfzf	232	75	and	and	CCONJ
cord-314725-og0ybfzf	232	76	characteristics	characteristic	NOUN
cord-314725-og0ybfzf	232	77	of	of	ADP
cord-314725-og0ybfzf	232	78	human	human	ADJ
cord-314725-og0ybfzf	232	79	coronaviruses	coronaviruse	NOUN
cord-314725-og0ybfzf	232	80	the	the	DET
cord-314725-og0ybfzf	232	81	sir	sir	PROPN
cord-314725-og0ybfzf	232	82	model	model	NOUN
cord-314725-og0ybfzf	232	83	for	for	ADP
cord-314725-og0ybfzf	232	84	spread	spread	NOUN
cord-314725-og0ybfzf	232	85	of	of	ADP
cord-314725-og0ybfzf	232	86	disease	disease	NOUN
cord-314725-og0ybfzf	232	87	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	232	88	:	:	PUNCT
cord-314725-og0ybfzf	232	89	epidemiology	epidemiology	NOUN
cord-314725-og0ybfzf	232	90	,	,	PUNCT
cord-314725-og0ybfzf	232	91	evolution	evolution	NOUN
cord-314725-og0ybfzf	232	92	,	,	PUNCT
cord-314725-og0ybfzf	232	93	and	and	CCONJ
cord-314725-og0ybfzf	232	94	cross	cross	ADJ
cord-314725-og0ybfzf	232	95	-	-	ADJ
cord-314725-og0ybfzf	232	96	disciplinary	disciplinary	ADJ
cord-314725-og0ybfzf	232	97	perspectives	perspective	NOUN
cord-314725-og0ybfzf	232	98	mathematics	mathematic	NOUN
cord-314725-og0ybfzf	232	99	for	for	ADP
cord-314725-og0ybfzf	232	100	life	life	NOUN
cord-314725-og0ybfzf	232	101	science	science	NOUN
cord-314725-og0ybfzf	232	102	and	and	CCONJ
cord-314725-og0ybfzf	232	103	medicine	medicine	NOUN
cord-314725-og0ybfzf	232	104	inverse	inverse	NOUN
cord-314725-og0ybfzf	232	105	problem	problem	NOUN
cord-314725-og0ybfzf	232	106	theory	theory	NOUN
cord-314725-og0ybfzf	232	107	and	and	CCONJ
cord-314725-og0ybfzf	232	108	methods	method	NOUN
cord-314725-og0ybfzf	232	109	for	for	ADP
cord-314725-og0ybfzf	232	110	model	model	NOUN
cord-314725-og0ybfzf	232	111	parameter	parameter	NOUN
cord-314725-og0ybfzf	232	112	estimation	estimation	NOUN
cord-314725-og0ybfzf	232	113	methods	method	NOUN
cord-314725-og0ybfzf	232	114	for	for	ADP
cord-314725-og0ybfzf	232	115	solving	solve	VERB
cord-314725-og0ybfzf	232	116	incorrect	incorrect	ADJ
cord-314725-og0ybfzf	232	117	problems	problem	NOUN
cord-314725-og0ybfzf	232	118	novel	novel	NOUN
cord-314725-og0ybfzf	232	119	coronavirus	coronavirus	NOUN
cord-314725-og0ybfzf	232	120	(	(	PUNCT
cord-314725-og0ybfzf	232	121	2019	2019	NUM
cord-314725-og0ybfzf	232	122	-	-	PUNCT
cord-314725-og0ybfzf	232	123	ncov	ncov	PROPN
cord-314725-og0ybfzf	232	124	)	)	PUNCT
cord-314725-og0ybfzf	232	125	situation	situation	NOUN
cord-314725-og0ybfzf	232	126	reports	report	VERB
cord-314725-og0ybfzf	232	127	-world	-world	PROPN
cord-314725-og0ybfzf	232	128	health	health	NOUN
cord-314725-og0ybfzf	232	129	organization	organization	NOUN
cord-314725-og0ybfzf	232	130	(	(	PUNCT
cord-314725-og0ybfzf	232	131	who	who	PRON
cord-314725-og0ybfzf	232	132	covid-19	covid-19	NUM
cord-314725-og0ybfzf	232	133	coronavirus	coronavirus	NOUN
cord-314725-og0ybfzf	232	134	pandemic	pandemic	ADJ
cord-314725-og0ybfzf	232	135	mathematical	mathematical	ADJ
cord-314725-og0ybfzf	232	136	modeling	modeling	NOUN
cord-314725-og0ybfzf	232	137	and	and	CCONJ
cord-314725-og0ybfzf	232	138	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	232	139	prediction	prediction	NOUN
cord-314725-og0ybfzf	232	140	of	of	ADP
cord-314725-og0ybfzf	232	141	covid-19	covid-19	PROPN
cord-314725-og0ybfzf	232	142	and	and	CCONJ
cord-314725-og0ybfzf	232	143	its	its	PRON
cord-314725-og0ybfzf	232	144	significance	significance	NOUN
cord-314725-og0ybfzf	232	145	to	to	ADP
cord-314725-og0ybfzf	232	146	epidemic	epidemic	NOUN
cord-314725-og0ybfzf	232	147	prevention	prevention	NOUN
cord-314725-og0ybfzf	232	148	and	and	CCONJ
cord-314725-og0ybfzf	232	149	control	control	NOUN
cord-314725-og0ybfzf	232	150	measures	measure	NOUN
