id	sid	tid	token	lemma	pos
cord-102966-7vdz661d	1	1	key	key	ADJ
cord-102966-7vdz661d	1	2	:	:	PUNCT
cord-102966-7vdz661d	1	3	cord-102966	cord-102966	X
cord-102966-7vdz661d	1	4	-	-	PUNCT
cord-102966-7vdz661d	1	5	7vdz661d	7vdz661d	NUM
cord-102966-7vdz661d	1	6	authors	author	NOUN
cord-102966-7vdz661d	1	7	:	:	PUNCT
cord-102966-7vdz661d	1	8	nikolaou	nikolaou	NOUN
cord-102966-7vdz661d	1	9	,	,	PUNCT
cord-102966-7vdz661d	1	10	m.	m.	NOUN
cord-102966-7vdz661d	1	11	title	title	NOUN
cord-102966-7vdz661d	1	12	:	:	PUNCT
cord-102966-7vdz661d	1	13	a	a	DET
cord-102966-7vdz661d	1	14	fundamental	fundamental	ADJ
cord-102966-7vdz661d	1	15	inconsistency	inconsistency	NOUN
cord-102966-7vdz661d	1	16	in	in	ADP
cord-102966-7vdz661d	1	17	the	the	DET
cord-102966-7vdz661d	1	18	sir	sir	PROPN
cord-102966-7vdz661d	1	19	model	model	NOUN
cord-102966-7vdz661d	1	20	structure	structure	NOUN
cord-102966-7vdz661d	1	21	and	and	CCONJ
cord-102966-7vdz661d	1	22	proposed	propose	VERB
cord-102966-7vdz661d	1	23	remedies	remedy	NOUN
cord-102966-7vdz661d	1	24	date	date	NOUN
cord-102966-7vdz661d	1	25	:	:	PUNCT
cord-102966-7vdz661d	1	26	2020	2020	NUM
cord-102966-7vdz661d	1	27	-	-	SYM
cord-102966-7vdz661d	1	28	05	05	NUM
cord-102966-7vdz661d	1	29	-	-	PUNCT
cord-102966-7vdz661d	1	30	01	01	NUM
cord-102966-7vdz661d	1	31	journal	journal	NOUN
cord-102966-7vdz661d	1	32	:	:	PUNCT
cord-102966-7vdz661d	1	33	nan	nan	PROPN
cord-102966-7vdz661d	1	34	doi	doi	PROPN
cord-102966-7vdz661d	1	35	:	:	PUNCT
cord-102966-7vdz661d	1	36	10.1101/2020.04.26.20080960	10.1101/2020.04.26.20080960	PROPN
cord-102966-7vdz661d	1	37	sha	shall	AUX
cord-102966-7vdz661d	1	38	:	:	PUNCT
cord-102966-7vdz661d	2	1	doc_id	doc_id	X
cord-102966-7vdz661d	2	2	:	:	PUNCT
cord-102966-7vdz661d	2	3	102966	102966	NUM
cord-102966-7vdz661d	2	4	cord_uid	cord_uid	PROPN
cord-102966-7vdz661d	2	5	:	:	PUNCT
cord-102966-7vdz661d	2	6	7vdz661d	7vdz661d	NUM
cord-102966-7vdz661d	2	7	the	the	DET
cord-102966-7vdz661d	2	8	susceptible	susceptible	ADJ
cord-102966-7vdz661d	2	9	-	-	PUNCT
cord-102966-7vdz661d	2	10	infectious	infectious	ADJ
cord-102966-7vdz661d	2	11	-	-	PUNCT
cord-102966-7vdz661d	2	12	removed	remove	VERB
cord-102966-7vdz661d	2	13	(	(	PUNCT
cord-102966-7vdz661d	2	14	sir	sir	PROPN
cord-102966-7vdz661d	2	15	)	)	PUNCT
cord-102966-7vdz661d	2	16	compartmental	compartmental	NOUN
cord-102966-7vdz661d	2	17	model	model	NOUN
cord-102966-7vdz661d	2	18	structure	structure	NOUN
cord-102966-7vdz661d	2	19	and	and	CCONJ
cord-102966-7vdz661d	2	20	its	its	PRON
cord-102966-7vdz661d	2	21	variants	variant	NOUN
cord-102966-7vdz661d	2	22	are	be	AUX
cord-102966-7vdz661d	2	23	a	a	DET
cord-102966-7vdz661d	2	24	fundamental	fundamental	ADJ
cord-102966-7vdz661d	2	25	modeling	modeling	NOUN
cord-102966-7vdz661d	2	26	tool	tool	NOUN
cord-102966-7vdz661d	2	27	in	in	ADP
cord-102966-7vdz661d	2	28	epidemiology	epidemiology	NOUN
cord-102966-7vdz661d	2	29	.	.	PUNCT
cord-102966-7vdz661d	3	1	as	as	SCONJ
cord-102966-7vdz661d	3	2	typically	typically	ADV
cord-102966-7vdz661d	3	3	used	use	VERB
cord-102966-7vdz661d	3	4	,	,	PUNCT
cord-102966-7vdz661d	3	5	however	however	ADV
cord-102966-7vdz661d	3	6	,	,	PUNCT
cord-102966-7vdz661d	3	7	this	this	DET
cord-102966-7vdz661d	3	8	tool	tool	NOUN
cord-102966-7vdz661d	3	9	may	may	AUX
cord-102966-7vdz661d	3	10	introduce	introduce	VERB
cord-102966-7vdz661d	3	11	an	an	DET
cord-102966-7vdz661d	3	12	inconsistency	inconsistency	NOUN
cord-102966-7vdz661d	3	13	by	by	ADP
cord-102966-7vdz661d	3	14	assuming	assume	VERB
cord-102966-7vdz661d	3	15	that	that	SCONJ
cord-102966-7vdz661d	3	16	the	the	DET
cord-102966-7vdz661d	3	17	rate	rate	NOUN
cord-102966-7vdz661d	3	18	of	of	ADP
cord-102966-7vdz661d	3	19	depletion	depletion	NOUN
cord-102966-7vdz661d	3	20	of	of	ADP
cord-102966-7vdz661d	3	21	a	a	DET
cord-102966-7vdz661d	3	22	compartment	compartment	NOUN
cord-102966-7vdz661d	3	23	is	be	AUX
cord-102966-7vdz661d	3	24	proportional	proportional	ADJ
cord-102966-7vdz661d	3	25	to	to	ADP
cord-102966-7vdz661d	3	26	the	the	DET
cord-102966-7vdz661d	3	27	content	content	NOUN
cord-102966-7vdz661d	3	28	of	of	ADP
cord-102966-7vdz661d	3	29	that	that	DET
cord-102966-7vdz661d	3	30	compartment	compartment	NOUN
cord-102966-7vdz661d	3	31	.	.	PUNCT
cord-102966-7vdz661d	4	1	as	as	SCONJ
cord-102966-7vdz661d	4	2	mentioned	mention	VERB
cord-102966-7vdz661d	4	3	in	in	ADP
cord-102966-7vdz661d	4	4	the	the	DET
cord-102966-7vdz661d	4	5	seminal	seminal	ADJ
cord-102966-7vdz661d	4	6	sir	sir	NOUN
cord-102966-7vdz661d	4	7	work	work	NOUN
cord-102966-7vdz661d	4	8	of	of	ADP
cord-102966-7vdz661d	4	9	kermack	kermack	NOUN
cord-102966-7vdz661d	4	10	and	and	CCONJ
cord-102966-7vdz661d	4	11	mckendrick	mckendrick	PROPN
cord-102966-7vdz661d	4	12	,	,	PUNCT
cord-102966-7vdz661d	4	13	this	this	PRON
cord-102966-7vdz661d	4	14	is	be	AUX
cord-102966-7vdz661d	4	15	an	an	DET
cord-102966-7vdz661d	4	16	assumption	assumption	NOUN
cord-102966-7vdz661d	4	17	of	of	ADP
cord-102966-7vdz661d	4	18	mathematical	mathematical	ADJ
cord-102966-7vdz661d	4	19	convenience	convenience	NOUN
cord-102966-7vdz661d	4	20	rather	rather	ADV
cord-102966-7vdz661d	4	21	than	than	ADP
cord-102966-7vdz661d	4	22	realism	realism	NOUN
cord-102966-7vdz661d	4	23	.	.	PUNCT
cord-102966-7vdz661d	5	1	as	as	ADP
cord-102966-7vdz661d	5	2	such	such	ADJ
cord-102966-7vdz661d	5	3	,	,	PUNCT
cord-102966-7vdz661d	5	4	it	it	PRON
cord-102966-7vdz661d	5	5	leads	lead	VERB
cord-102966-7vdz661d	5	6	to	to	ADP
cord-102966-7vdz661d	5	7	underprediction	underprediction	NOUN
cord-102966-7vdz661d	5	8	of	of	ADP
cord-102966-7vdz661d	5	9	the	the	DET
cord-102966-7vdz661d	5	10	infectious	infectious	ADJ
cord-102966-7vdz661d	5	11	compartment	compartment	NOUN
cord-102966-7vdz661d	5	12	peaks	peak	NOUN
cord-102966-7vdz661d	5	13	by	by	ADP
cord-102966-7vdz661d	5	14	a	a	DET
cord-102966-7vdz661d	5	15	factor	factor	NOUN
cord-102966-7vdz661d	5	16	of	of	ADP
cord-102966-7vdz661d	5	17	about	about	ADV
cord-102966-7vdz661d	5	18	two	two	NUM
cord-102966-7vdz661d	5	19	,	,	PUNCT
cord-102966-7vdz661d	5	20	a	a	DET
cord-102966-7vdz661d	5	21	problem	problem	NOUN
cord-102966-7vdz661d	5	22	of	of	ADP
cord-102966-7vdz661d	5	23	particular	particular	ADJ
cord-102966-7vdz661d	5	24	importance	importance	NOUN
cord-102966-7vdz661d	5	25	when	when	SCONJ
cord-102966-7vdz661d	5	26	dealing	deal	VERB
cord-102966-7vdz661d	5	27	with	with	ADP
cord-102966-7vdz661d	5	28	availability	availability	NOUN
cord-102966-7vdz661d	5	29	of	of	ADP
cord-102966-7vdz661d	5	30	resources	resource	NOUN
cord-102966-7vdz661d	5	31	during	during	ADP
cord-102966-7vdz661d	5	32	an	an	DET
cord-102966-7vdz661d	5	33	epidemic	epidemic	NOUN
cord-102966-7vdz661d	5	34	.	.	PUNCT
cord-102966-7vdz661d	6	1	to	to	PART
cord-102966-7vdz661d	6	2	remedy	remedy	VERB
cord-102966-7vdz661d	6	3	this	this	DET
cord-102966-7vdz661d	6	4	problem	problem	NOUN
cord-102966-7vdz661d	6	5	,	,	PUNCT
cord-102966-7vdz661d	6	6	we	we	PRON
cord-102966-7vdz661d	6	7	develop	develop	VERB
cord-102966-7vdz661d	6	8	the	the	DET
cord-102966-7vdz661d	6	9	dsir	dsir	PROPN
cord-102966-7vdz661d	6	10	model	model	NOUN
cord-102966-7vdz661d	6	11	structure	structure	NOUN
cord-102966-7vdz661d	6	12	,	,	PUNCT
cord-102966-7vdz661d	6	13	comprising	comprise	VERB
cord-102966-7vdz661d	6	14	a	a	DET
cord-102966-7vdz661d	6	15	single	single	ADJ
cord-102966-7vdz661d	6	16	delay	delay	NOUN
cord-102966-7vdz661d	6	17	differential	differential	ADJ
cord-102966-7vdz661d	6	18	equation	equation	NOUN
cord-102966-7vdz661d	6	19	and	and	CCONJ
cord-102966-7vdz661d	6	20	associated	associate	VERB
cord-102966-7vdz661d	6	21	delay	delay	NOUN
cord-102966-7vdz661d	6	22	algebraic	algebraic	ADJ
cord-102966-7vdz661d	6	23	equations	equation	NOUN
cord-102966-7vdz661d	6	24	.	.	PUNCT
cord-102966-7vdz661d	7	1	we	we	PRON
cord-102966-7vdz661d	7	2	show	show	VERB
cord-102966-7vdz661d	7	3	that	that	SCONJ
cord-102966-7vdz661d	7	4	sir	sir	PROPN
cord-102966-7vdz661d	7	5	and	and	CCONJ
cord-102966-7vdz661d	7	6	dsir	dsir	NOUN
cord-102966-7vdz661d	7	7	fully	fully	ADV
cord-102966-7vdz661d	7	8	agree	agree	VERB
cord-102966-7vdz661d	7	9	in	in	ADP
cord-102966-7vdz661d	7	10	assessing	assess	VERB
cord-102966-7vdz661d	7	11	stability	stability	NOUN
cord-102966-7vdz661d	7	12	and	and	CCONJ
cord-102966-7vdz661d	7	13	long	long	ADJ
cord-102966-7vdz661d	7	14	-	-	PUNCT
cord-102966-7vdz661d	7	15	term	term	NOUN
cord-102966-7vdz661d	7	16	values	value	NOUN
cord-102966-7vdz661d	7	17	of	of	ADP
cord-102966-7vdz661d	7	18	a	a	DET
cord-102966-7vdz661d	7	19	population	population	NOUN
cord-102966-7vdz661d	7	20	through	through	ADP
cord-102966-7vdz661d	7	21	an	an	DET
cord-102966-7vdz661d	7	22	epidemic	epidemic	NOUN
cord-102966-7vdz661d	7	23	,	,	PUNCT
cord-102966-7vdz661d	7	24	but	but	CCONJ
cord-102966-7vdz661d	7	25	differ	differ	VERB
cord-102966-7vdz661d	7	26	considerably	considerably	ADV
cord-102966-7vdz661d	7	27	in	in	ADP
cord-102966-7vdz661d	7	28	the	the	DET
cord-102966-7vdz661d	7	29	exponential	exponential	ADJ
cord-102966-7vdz661d	7	30	rates	rate	NOUN
cord-102966-7vdz661d	7	31	of	of	ADP
cord-102966-7vdz661d	7	32	ascent	ascent	NOUN
cord-102966-7vdz661d	7	33	and	and	CCONJ
cord-102966-7vdz661d	7	34	descent	descent	NOUN
cord-102966-7vdz661d	7	35	as	as	ADV
cord-102966-7vdz661d	7	36	well	well	ADV
cord-102966-7vdz661d	7	37	as	as	ADP
cord-102966-7vdz661d	7	38	peak	peak	NOUN
cord-102966-7vdz661d	7	39	values	value	NOUN
cord-102966-7vdz661d	7	40	during	during	ADP
cord-102966-7vdz661d	7	41	the	the	DET
cord-102966-7vdz661d	7	42	epidemic	epidemic	NOUN
cord-102966-7vdz661d	7	43	.	.	PUNCT
cord-102966-7vdz661d	8	1	the	the	DET
cord-102966-7vdz661d	8	2	novel	novel	NOUN
cord-102966-7vdz661d	8	3	pade	pade	PROPN
cord-102966-7vdz661d	8	4	-	-	PUNCT
cord-102966-7vdz661d	8	5	sir	sir	NOUN
cord-102966-7vdz661d	8	6	structure	structure	NOUN
cord-102966-7vdz661d	8	7	is	be	AUX
cord-102966-7vdz661d	8	8	also	also	ADV
cord-102966-7vdz661d	8	9	introduced	introduce	VERB
cord-102966-7vdz661d	8	10	as	as	ADP
cord-102966-7vdz661d	8	11	a	a	DET
cord-102966-7vdz661d	8	12	approximation	approximation	NOUN
cord-102966-7vdz661d	8	13	of	of	ADP
cord-102966-7vdz661d	8	14	dsir	dsir	NOUN
cord-102966-7vdz661d	8	15	by	by	ADP
cord-102966-7vdz661d	8	16	ordinary	ordinary	ADJ
cord-102966-7vdz661d	8	17	differential	differential	ADJ
cord-102966-7vdz661d	8	18	equations	equation	NOUN
cord-102966-7vdz661d	8	19	.	.	PUNCT
cord-102966-7vdz661d	9	1	we	we	PRON
cord-102966-7vdz661d	9	2	rigorously	rigorously	ADV
cord-102966-7vdz661d	9	3	analyze	analyze	VERB
cord-102966-7vdz661d	9	4	the	the	DET
cord-102966-7vdz661d	9	5	properties	property	NOUN
cord-102966-7vdz661d	9	6	of	of	ADP
cord-102966-7vdz661d	9	7	these	these	DET
cord-102966-7vdz661d	9	8	models	model	NOUN
cord-102966-7vdz661d	9	9	and	and	CCONJ
cord-102966-7vdz661d	9	10	present	present	VERB
cord-102966-7vdz661d	9	11	a	a	DET
cord-102966-7vdz661d	9	12	number	number	NOUN
cord-102966-7vdz661d	9	13	of	of	ADP
cord-102966-7vdz661d	9	14	illustrative	illustrative	ADJ
cord-102966-7vdz661d	9	15	simulations	simulation	NOUN
cord-102966-7vdz661d	9	16	,	,	PUNCT
cord-102966-7vdz661d	9	17	particularly	particularly	ADV
cord-102966-7vdz661d	9	18	in	in	ADP
cord-102966-7vdz661d	9	19	view	view	NOUN
cord-102966-7vdz661d	9	20	of	of	ADP
cord-102966-7vdz661d	9	21	the	the	DET
cord-102966-7vdz661d	9	22	recent	recent	ADJ
cord-102966-7vdz661d	9	23	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	9	24	epidemic	epidemic	NOUN
cord-102966-7vdz661d	9	25	.	.	PUNCT
cord-102966-7vdz661d	10	1	suggestions	suggestion	NOUN
cord-102966-7vdz661d	10	2	for	for	ADP
cord-102966-7vdz661d	10	3	further	further	ADJ
cord-102966-7vdz661d	10	4	study	study	NOUN
cord-102966-7vdz661d	10	5	are	be	AUX
cord-102966-7vdz661d	10	6	made	make	VERB
cord-102966-7vdz661d	10	7	.	.	PUNCT
cord-102966-7vdz661d	11	1	in	in	ADP
cord-102966-7vdz661d	11	2	their	their	PRON
cord-102966-7vdz661d	11	3	landmark	landmark	ADJ
cord-102966-7vdz661d	11	4	1927	1927	NUM
cord-102966-7vdz661d	11	5	publication	publication	NOUN
cord-102966-7vdz661d	11	6	contribution	contribution	NOUN
cord-102966-7vdz661d	11	7	to	to	ADP
cord-102966-7vdz661d	11	8	the	the	DET
cord-102966-7vdz661d	11	9	mathematical	mathematical	ADJ
cord-102966-7vdz661d	11	10	theory	theory	NOUN
cord-102966-7vdz661d	11	11	of	of	ADP
cord-102966-7vdz661d	11	12	epidemics	epidemic	NOUN
cord-102966-7vdz661d	11	13	,	,	PUNCT
cord-102966-7vdz661d	11	14	1	1	NUM
cord-102966-7vdz661d	11	15	,	,	PUNCT
cord-102966-7vdz661d	11	16	2	2	NUM
cord-102966-7vdz661d	11	17	kermack	kermack	NOUN
cord-102966-7vdz661d	11	18	and	and	CCONJ
cord-102966-7vdz661d	11	19	mckendrick	mckendrick	PROPN
cord-102966-7vdz661d	11	20	developed	develop	VERB
cord-102966-7vdz661d	11	21	a	a	DET
cord-102966-7vdz661d	11	22	general	general	ADJ
cord-102966-7vdz661d	11	23	,	,	PUNCT
cord-102966-7vdz661d	11	24	if	if	SCONJ
cord-102966-7vdz661d	11	25	elaborate	elaborate	ADJ
cord-102966-7vdz661d	11	26	model	model	NOUN
cord-102966-7vdz661d	11	27	structure	structure	NOUN
cord-102966-7vdz661d	11	28	to	to	PART
cord-102966-7vdz661d	11	29	capture	capture	VERB
cord-102966-7vdz661d	11	30	the	the	DET
cord-102966-7vdz661d	11	31	dynamics	dynamic	NOUN
cord-102966-7vdz661d	11	32	of	of	ADP
cord-102966-7vdz661d	11	33	a	a	DET
cord-102966-7vdz661d	11	34	fixed	fix	VERB
cord-102966-7vdz661d	11	35	-	-	PUNCT
cord-102966-7vdz661d	11	36	size	size	NOUN
cord-102966-7vdz661d	11	37	population	population	NOUN
cord-102966-7vdz661d	11	38	comprising	comprise	VERB
cord-102966-7vdz661d	11	39	compartments	compartment	NOUN
cord-102966-7vdz661d	11	40	of	of	ADP
cord-102966-7vdz661d	11	41	individuals	individual	NOUN
cord-102966-7vdz661d	11	42	susceptible	susceptible	ADJ
cord-102966-7vdz661d	11	43	(	(	PUNCT
cord-102966-7vdz661d	11	44	s	s	NOUN
cord-102966-7vdz661d	11	45	)	)	PUNCT
cord-102966-7vdz661d	11	46	to	to	ADP
cord-102966-7vdz661d	11	47	a	a	DET
cord-102966-7vdz661d	11	48	spreading	spread	VERB
cord-102966-7vdz661d	11	49	infection	infection	NOUN
cord-102966-7vdz661d	11	50	,	,	PUNCT
cord-102966-7vdz661d	11	51	infectious	infectious	ADJ
cord-102966-7vdz661d	11	52	(	(	PUNCT
cord-102966-7vdz661d	11	53	i	i	NOUN
cord-102966-7vdz661d	11	54	)	)	PUNCT
cord-102966-7vdz661d	11	55	,	,	PUNCT
cord-102966-7vdz661d	11	56	and	and	CCONJ
cord-102966-7vdz661d	11	57	removed	remove	VERB
cord-102966-7vdz661d	11	58	(	(	PUNCT
cord-102966-7vdz661d	11	59	r	r	NOUN
cord-102966-7vdz661d	11	60	)	)	PUNCT
cord-102966-7vdz661d	11	61	from	from	ADP
cord-102966-7vdz661d	11	62	the	the	DET
cord-102966-7vdz661d	11	63	preceding	precede	VERB
cord-102966-7vdz661d	11	64	two	two	NUM
cord-102966-7vdz661d	11	65	compartments	compartment	NOUN
cord-102966-7vdz661d	11	66	by	by	ADP
cord-102966-7vdz661d	11	67	recovery	recovery	NOUN
cord-102966-7vdz661d	11	68	or	or	CCONJ
cord-102966-7vdz661d	11	69	death	death	NOUN
cord-102966-7vdz661d	11	70	.	.	PUNCT
cord-102966-7vdz661d	12	1	propagation	propagation	NOUN
cord-102966-7vdz661d	12	2	of	of	ADP
cord-102966-7vdz661d	12	3	an	an	DET
cord-102966-7vdz661d	12	4	individual	individual	NOUN
cord-102966-7vdz661d	12	5	from	from	ADP
cord-102966-7vdz661d	12	6	s	s	PROPN
cord-102966-7vdz661d	12	7	to	to	ADP
cord-102966-7vdz661d	12	8	i	i	PRON
cord-102966-7vdz661d	12	9	to	to	PART
cord-102966-7vdz661d	12	10	r	r	VERB
cord-102966-7vdz661d	12	11	underlies	underlie	NOUN
cord-102966-7vdz661d	12	12	the	the	DET
cord-102966-7vdz661d	12	13	basic	basic	ADJ
cord-102966-7vdz661d	12	14	context	context	NOUN
cord-102966-7vdz661d	12	15	of	of	ADP
cord-102966-7vdz661d	12	16	the	the	DET
cord-102966-7vdz661d	12	17	exercise	exercise	NOUN
cord-102966-7vdz661d	12	18	.	.	PUNCT
cord-102966-7vdz661d	13	1	in	in	ADP
cord-102966-7vdz661d	13	2	a	a	DET
cord-102966-7vdz661d	13	3	modeling	modeling	NOUN
cord-102966-7vdz661d	13	4	tour	tour	NOUN
cord-102966-7vdz661d	13	5	-	-	PUNCT
cord-102966-7vdz661d	13	6	de	de	NOUN
cord-102966-7vdz661d	13	7	-	-	NOUN
cord-102966-7vdz661d	13	8	force	force	NOUN
cord-102966-7vdz661d	13	9	,	,	PUNCT
cord-102966-7vdz661d	13	10	the	the	DET
cord-102966-7vdz661d	13	11	authors	author	NOUN
cord-102966-7vdz661d	13	12	eventually	eventually	ADV
cord-102966-7vdz661d	13	13	present	present	VERB
cord-102966-7vdz661d	13	14	,	,	PUNCT
cord-102966-7vdz661d	13	15	in	in	ADP
cord-102966-7vdz661d	13	16	equations	equation	NOUN
cord-102966-7vdz661d	13	17	(	(	PUNCT
cord-102966-7vdz661d	13	18	11	11	NUM
cord-102966-7vdz661d	13	19	)	)	PUNCT
cord-102966-7vdz661d	13	20	through	through	ADP
cord-102966-7vdz661d	13	21	(	(	PUNCT
cord-102966-7vdz661d	13	22	15	15	NUM
cord-102966-7vdz661d	13	23	)	)	PUNCT
cord-102966-7vdz661d	13	24	of	of	ADP
cord-102966-7vdz661d	13	25	their	their	PRON
cord-102966-7vdz661d	13	26	paper	paper	NOUN
cord-102966-7vdz661d	13	27	(	(	PUNCT
cord-102966-7vdz661d	13	28	ibid	ibid	NOUN
cord-102966-7vdz661d	13	29	.	.	PUNCT
cord-102966-7vdz661d	13	30	)	)	PUNCT
cord-102966-7vdz661d	14	1	,	,	PUNCT
cord-102966-7vdz661d	14	2	the	the	DET
cord-102966-7vdz661d	14	3	general	general	ADJ
cord-102966-7vdz661d	14	4	structure	structure	NOUN
cord-102966-7vdz661d	14	5	of	of	ADP
cord-102966-7vdz661d	14	6	the	the	DET
cord-102966-7vdz661d	14	7	elaborate	elaborate	ADJ
cord-102966-7vdz661d	14	8	mathematical	mathematical	ADJ
cord-102966-7vdz661d	14	9	model	model	NOUN
cord-102966-7vdz661d	14	10	they	they	PRON
cord-102966-7vdz661d	14	11	derive	derive	VERB
cord-102966-7vdz661d	14	12	.	.	PUNCT
cord-102966-7vdz661d	15	1	they	they	PRON
cord-102966-7vdz661d	15	2	proceed	proceed	VERB
cord-102966-7vdz661d	15	3	to	to	PART
cord-102966-7vdz661d	15	4	examine	examine	VERB
cord-102966-7vdz661d	15	5	the	the	DET
cord-102966-7vdz661d	15	6	implications	implication	NOUN
cord-102966-7vdz661d	15	7	of	of	ADP
cord-102966-7vdz661d	15	8	their	their	PRON
cord-102966-7vdz661d	15	9	model	model	NOUN
cord-102966-7vdz661d	15	10	for	for	ADP
cord-102966-7vdz661d	15	11	special	special	ADJ
cord-102966-7vdz661d	15	12	cases	case	NOUN
cord-102966-7vdz661d	15	13	,	,	PUNCT
cord-102966-7vdz661d	15	14	and	and	CCONJ
cord-102966-7vdz661d	15	15	finally	finally	ADV
cord-102966-7vdz661d	15	16	present	present	VERB
cord-102966-7vdz661d	15	17	a	a	DET
cord-102966-7vdz661d	15	18	very	very	ADV
cord-102966-7vdz661d	15	19	special	special	ADJ
cord-102966-7vdz661d	15	20	case	case	NOUN
cord-102966-7vdz661d	15	21	resulting	result	VERB
cord-102966-7vdz661d	15	22	in	in	ADP
cord-102966-7vdz661d	15	23	a	a	DET
cord-102966-7vdz661d	15	24	set	set	NOUN
cord-102966-7vdz661d	15	25	of	of	ADP
cord-102966-7vdz661d	15	26	three	three	NUM
cord-102966-7vdz661d	15	27	relatively	relatively	ADV
cord-102966-7vdz661d	15	28	simple	simple	ADJ
cord-102966-7vdz661d	15	29	ordinary	ordinary	ADJ
cord-102966-7vdz661d	15	30	differential	differential	ADJ
cord-102966-7vdz661d	15	31	equations	equation	NOUN
cord-102966-7vdz661d	15	32	(	(	PUNCT
cord-102966-7vdz661d	15	33	odes	ode	NOUN
cord-102966-7vdz661d	15	34	,	,	PUNCT
cord-102966-7vdz661d	15	35	equations	equation	NOUN
cord-102966-7vdz661d	15	36	(	(	PUNCT
cord-102966-7vdz661d	15	37	29	29	NUM
cord-102966-7vdz661d	15	38	)	)	PUNCT
cord-102966-7vdz661d	15	39	ibid	ibid	NOUN
cord-102966-7vdz661d	15	40	.	.	PUNCT
cord-102966-7vdz661d	15	41	)	)	PUNCT
cord-102966-7vdz661d	15	42	,	,	PUNCT
cord-102966-7vdz661d	15	43	which	which	PRON
cord-102966-7vdz661d	15	44	were	be	AUX
cord-102966-7vdz661d	15	45	destined	destine	VERB
cord-102966-7vdz661d	15	46	to	to	PART
cord-102966-7vdz661d	15	47	form	form	VERB
cord-102966-7vdz661d	15	48	the	the	DET
cord-102966-7vdz661d	15	49	basis	basis	NOUN
cord-102966-7vdz661d	15	50	for	for	ADP
cord-102966-7vdz661d	15	51	a	a	DET
cord-102966-7vdz661d	15	52	genre	genre	NOUN
cord-102966-7vdz661d	15	53	of	of	ADP
cord-102966-7vdz661d	15	54	mathematical	mathematical	ADJ
cord-102966-7vdz661d	15	55	models	model	NOUN
cord-102966-7vdz661d	15	56	in	in	ADP
cord-102966-7vdz661d	15	57	epidemiology	epidemiology	NOUN
cord-102966-7vdz661d	15	58	,	,	PUNCT
cord-102966-7vdz661d	15	59	the	the	DET
cord-102966-7vdz661d	15	60	celebrated	celebrated	ADJ
cord-102966-7vdz661d	15	61	sir	sir	PROPN
cord-102966-7vdz661d	15	62	model	model	NOUN
cord-102966-7vdz661d	15	63	and	and	CCONJ
cord-102966-7vdz661d	15	64	its	its	PRON
cord-102966-7vdz661d	15	65	many	many	ADJ
cord-102966-7vdz661d	15	66	variants	variant	NOUN
cord-102966-7vdz661d	15	67	.	.	PUNCT
cord-102966-7vdz661d	16	1	3	3	NUM
cord-102966-7vdz661d	16	2	the	the	DET
cord-102966-7vdz661d	16	3	three	three	NUM
cord-102966-7vdz661d	16	4	odes	ode	NOUN
cord-102966-7vdz661d	16	5	are	be	AUX
cord-102966-7vdz661d	16	6	where	where	SCONJ
cord-102966-7vdz661d	16	7	prime	prime	ADJ
cord-102966-7vdz661d	16	8	denotes	denote	VERB
cord-102966-7vdz661d	16	9	time	time	NOUN
cord-102966-7vdz661d	16	10	derivative	derivative	ADJ
cord-102966-7vdz661d	16	11	.	.	PUNCT
cord-102966-7vdz661d	17	1	2	2	NUM
cord-102966-7vdz661d	17	2	,	,	PUNCT
cord-102966-7vdz661d	17	3	4	4	NUM
cord-102966-7vdz661d	17	4	,	,	PUNCT
cord-102966-7vdz661d	17	5	5	5	NUM
cord-102966-7vdz661d	17	6	consistent	consistent	ADJ
cord-102966-7vdz661d	17	7	with	with	ADP
cord-102966-7vdz661d	17	8	the	the	DET
cord-102966-7vdz661d	17	9	importance	importance	NOUN
cord-102966-7vdz661d	17	10	of	of	ADP
cord-102966-7vdz661d	17	11	the	the	DET
cord-102966-7vdz661d	17	12	sir	sir	PROPN
cord-102966-7vdz661d	17	13	odes	ode	NOUN
cord-102966-7vdz661d	17	14	,	,	PUNCT
cord-102966-7vdz661d	17	15	the	the	DET
cord-102966-7vdz661d	17	16	basic	basic	ADJ
cord-102966-7vdz661d	17	17	reproductive	reproductive	ADJ
cord-102966-7vdz661d	17	18	ratio	ratio	NOUN
cord-102966-7vdz661d	17	19	,	,	PUNCT
cord-102966-7vdz661d	17	20	0	0	NUM
cord-102966-7vdz661d	18	1	≝	≝	PROPN
cord-102966-7vdz661d	18	2	/	/	PUNCT
cord-102966-7vdz661d	18	3	,	,	PUNCT
cord-102966-7vdz661d	18	4	is	be	AUX
cord-102966-7vdz661d	18	5	widely	widely	ADV
cord-102966-7vdz661d	18	6	considered	consider	VERB
cord-102966-7vdz661d	18	7	"	"	PUNCT
cord-102966-7vdz661d	18	8	one	one	NUM
cord-102966-7vdz661d	18	9	of	of	ADP
cord-102966-7vdz661d	18	10	the	the	DET
cord-102966-7vdz661d	18	11	most	most	ADV
cord-102966-7vdz661d	18	12	critical	critical	ADJ
cord-102966-7vdz661d	18	13	epidemiological	epidemiological	ADJ
cord-102966-7vdz661d	18	14	parameters	parameter	NOUN
cord-102966-7vdz661d	18	15	"	"	PUNCT
cord-102966-7vdz661d	18	16	2	2	NUM
cord-102966-7vdz661d	18	17	and	and	CCONJ
cord-102966-7vdz661d	18	18	has	have	AUX
cord-102966-7vdz661d	18	19	even	even	ADV
cord-102966-7vdz661d	18	20	become	become	VERB
cord-102966-7vdz661d	18	21	a	a	DET
cord-102966-7vdz661d	18	22	household	household	NOUN
cord-102966-7vdz661d	18	23	name	name	NOUN
cord-102966-7vdz661d	18	24	in	in	ADP
cord-102966-7vdz661d	18	25	the	the	DET
cord-102966-7vdz661d	18	26	recent	recent	ADJ
cord-102966-7vdz661d	18	27	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	18	28	epidemic	epidemic	NOUN
cord-102966-7vdz661d	18	29	.	.	PUNCT
cord-102966-7vdz661d	19	1	6	6	NUM
cord-102966-7vdz661d	19	2	in	in	ADP
cord-102966-7vdz661d	19	3	the	the	DET
cord-102966-7vdz661d	19	4	sentence	sentence	NOUN
cord-102966-7vdz661d	19	5	right	right	ADV
cord-102966-7vdz661d	19	6	before	before	SCONJ
cord-102966-7vdz661d	19	7	they	they	PRON
cord-102966-7vdz661d	19	8	present	present	VERB
cord-102966-7vdz661d	19	9	their	their	PRON
cord-102966-7vdz661d	19	10	sir	sir	NOUN
cord-102966-7vdz661d	19	11	model	model	NOUN
cord-102966-7vdz661d	19	12	in	in	ADP
cord-102966-7vdz661d	19	13	equation	equation	NOUN
cord-102966-7vdz661d	19	14	(	(	PUNCT
cord-102966-7vdz661d	19	15	29	29	NUM
cord-102966-7vdz661d	19	16	)	)	PUNCT
cord-102966-7vdz661d	19	17	,	,	PUNCT
cord-102966-7vdz661d	19	18	(	(	PUNCT
cord-102966-7vdz661d	19	19	ibid	ibid	NOUN
cord-102966-7vdz661d	19	20	.	.	PUNCT
cord-102966-7vdz661d	19	21	,	,	PUNCT
cord-102966-7vdz661d	19	22	cf	cf	PROPN
cord-102966-7vdz661d	19	23	.	.	PUNCT
cord-102966-7vdz661d	20	1	the	the	DET
cord-102966-7vdz661d	20	2	above	above	ADJ
cord-102966-7vdz661d	20	3	eqns	eqns	PROPN
cord-102966-7vdz661d	20	4	.	.	PUNCT
cord-102966-7vdz661d	21	1	the	the	DET
cord-102966-7vdz661d	21	2	assumption	assumption	NOUN
cord-102966-7vdz661d	21	3	about	about	ADP
cord-102966-7vdz661d	21	4	constant	constant	ADJ
cord-102966-7vdz661d	21	5	is	be	AUX
cord-102966-7vdz661d	21	6	plausible	plausible	ADJ
cord-102966-7vdz661d	21	7	,	,	PUNCT
cord-102966-7vdz661d	21	8	as	as	SCONJ
cord-102966-7vdz661d	21	9	it	it	PRON
cord-102966-7vdz661d	21	10	refers	refer	VERB
cord-102966-7vdz661d	21	11	to	to	ADP
cord-102966-7vdz661d	21	12	the	the	DET
cord-102966-7vdz661d	21	13	rate	rate	NOUN
cord-102966-7vdz661d	21	14	of	of	ADP
cord-102966-7vdz661d	21	15	spread	spread	NOUN
cord-102966-7vdz661d	21	16	of	of	ADP
cord-102966-7vdz661d	21	17	the	the	DET
cord-102966-7vdz661d	21	18	epidemic	epidemic	NOUN
cord-102966-7vdz661d	21	19	(	(	PUNCT
cord-102966-7vdz661d	21	20	cf	cf	PROPN
cord-102966-7vdz661d	21	21	.	.	PROPN
cord-102966-7vdz661d	21	22	eqn	eqn	PROPN
cord-102966-7vdz661d	21	23	.	.	PUNCT
cord-102966-7vdz661d	22	1	(	(	PUNCT
cord-102966-7vdz661d	22	2	1	1	NUM
cord-102966-7vdz661d	22	3	)	)	PUNCT
cord-102966-7vdz661d	22	4	)	)	PUNCT
cord-102966-7vdz661d	22	5	.	.	PUNCT
cord-102966-7vdz661d	23	1	while	while	SCONJ
cord-102966-7vdz661d	23	2	that	that	DET
cord-102966-7vdz661d	23	3	parameter	parameter	NOUN
cord-102966-7vdz661d	23	4	might	might	AUX
cord-102966-7vdz661d	23	5	change	change	VERB
cord-102966-7vdz661d	23	6	over	over	ADP
cord-102966-7vdz661d	23	7	time	time	NOUN
cord-102966-7vdz661d	23	8	as	as	ADP
cord-102966-7vdz661d	23	9	a	a	DET
cord-102966-7vdz661d	23	10	result	result	NOUN
cord-102966-7vdz661d	23	11	of	of	ADP
cord-102966-7vdz661d	23	12	measures	measure	NOUN
cord-102966-7vdz661d	23	13	however	however	ADV
cord-102966-7vdz661d	23	14	,	,	PUNCT
cord-102966-7vdz661d	23	15	the	the	DET
cord-102966-7vdz661d	23	16	rate	rate	NOUN
cord-102966-7vdz661d	23	17	of	of	ADP
cord-102966-7vdz661d	23	18	removal	removal	NOUN
cord-102966-7vdz661d	23	19	depends	depend	VERB
cord-102966-7vdz661d	23	20	more	more	ADJ
cord-102966-7vdz661d	23	21	on	on	ADP
cord-102966-7vdz661d	23	22	the	the	DET
cord-102966-7vdz661d	23	23	duration	duration	NOUN
cord-102966-7vdz661d	23	24	over	over	ADP
cord-102966-7vdz661d	23	25	which	which	PRON
cord-102966-7vdz661d	23	26	individuals	individual	NOUN
cord-102966-7vdz661d	23	27	have	have	AUX
cord-102966-7vdz661d	23	28	remained	remain	VERB
cord-102966-7vdz661d	23	29	infected	infected	ADJ
cord-102966-7vdz661d	23	30	and	and	CCONJ
cord-102966-7vdz661d	23	31	less	less	ADJ
cord-102966-7vdz661d	23	32	on	on	ADP
cord-102966-7vdz661d	23	33	the	the	DET
cord-102966-7vdz661d	23	34	size	size	NOUN
cord-102966-7vdz661d	23	35	of	of	ADP
cord-102966-7vdz661d	23	36	that	that	DET
cord-102966-7vdz661d	23	37	group	group	NOUN
cord-102966-7vdz661d	23	38	.	.	PUNCT
cord-102966-7vdz661d	24	1	in	in	ADP
cord-102966-7vdz661d	24	2	the	the	DET
cord-102966-7vdz661d	24	3	conceptually	conceptually	ADV
cord-102966-7vdz661d	24	4	simple	simple	ADJ
cord-102966-7vdz661d	24	5	case	case	NOUN
cord-102966-7vdz661d	24	6	where	where	SCONJ
cord-102966-7vdz661d	24	7	all	all	DET
cord-102966-7vdz661d	24	8	individuals	individual	NOUN
cord-102966-7vdz661d	24	9	recover	recover	VERB
cord-102966-7vdz661d	24	10	or	or	CCONJ
cord-102966-7vdz661d	24	11	die	die	VERB
cord-102966-7vdz661d	24	12	at	at	ADP
cord-102966-7vdz661d	24	13	a	a	DET
cord-102966-7vdz661d	24	14	single	single	ADJ
cord-102966-7vdz661d	24	15	number	number	NOUN
cord-102966-7vdz661d	24	16	of	of	ADP
cord-102966-7vdz661d	24	17	days	day	NOUN
cord-102966-7vdz661d	24	18	,	,	PUNCT
cord-102966-7vdz661d	24	19	,	,	PUNCT
cord-102966-7vdz661d	24	20	after	after	ADP
cord-102966-7vdz661d	24	21	their	their	PRON
cord-102966-7vdz661d	24	22	infection	infection	NOUN
cord-102966-7vdz661d	24	23	,	,	PUNCT
cord-102966-7vdz661d	24	24	the	the	DET
cord-102966-7vdz661d	24	25	rate	rate	NOUN
cord-102966-7vdz661d	24	26	of	of	ADP
cord-102966-7vdz661d	24	27	removal	removal	NOUN
cord-102966-7vdz661d	24	28	is	be	AUX
cord-102966-7vdz661d	24	29	1	1	NUM
cord-102966-7vdz661d	24	30	or	or	CCONJ
cord-102966-7vdz661d	24	31	0	0	NUM
cord-102966-7vdz661d	24	32	,	,	PUNCT
cord-102966-7vdz661d	24	33	depending	depend	VERB
cord-102966-7vdz661d	24	34	on	on	ADP
cord-102966-7vdz661d	24	35	whether	whether	SCONJ
cord-102966-7vdz661d	24	36	is	be	AUX
cord-102966-7vdz661d	24	37	greater	great	ADJ
cord-102966-7vdz661d	24	38	than	than	ADP
cord-102966-7vdz661d	24	39	or	or	CCONJ
cord-102966-7vdz661d	24	40	not	not	PART
cord-102966-7vdz661d	24	41	(	(	PUNCT
cord-102966-7vdz661d	24	42	figure	figure	NOUN
cord-102966-7vdz661d	24	43	1	1	NUM
cord-102966-7vdz661d	24	44	)	)	PUNCT
cord-102966-7vdz661d	24	45	.	.	PUNCT
cord-102966-7vdz661d	25	1	of	of	ADV
cord-102966-7vdz661d	25	2	course	course	NOUN
cord-102966-7vdz661d	25	3	,	,	PUNCT
cord-102966-7vdz661d	25	4	in	in	ADP
cord-102966-7vdz661d	25	5	reality	reality	NOUN
cord-102966-7vdz661d	25	6	will	will	AUX
cord-102966-7vdz661d	25	7	likely	likely	ADV
cord-102966-7vdz661d	25	8	follow	follow	VERB
cord-102966-7vdz661d	25	9	a	a	DET
cord-102966-7vdz661d	25	10	distribution	distribution	NOUN
cord-102966-7vdz661d	25	11	(	(	PUNCT
cord-102966-7vdz661d	25	12	figure	figure	NOUN
cord-102966-7vdz661d	25	13	2	2	NUM
cord-102966-7vdz661d	25	14	)	)	PUNCT
cord-102966-7vdz661d	25	15	rather	rather	ADV
cord-102966-7vdz661d	25	16	than	than	ADP
cord-102966-7vdz661d	25	17	being	be	AUX
cord-102966-7vdz661d	25	18	a	a	DET
cord-102966-7vdz661d	25	19	single	single	ADJ
cord-102966-7vdz661d	25	20	number	number	NOUN
cord-102966-7vdz661d	25	21	.	.	PUNCT
cord-102966-7vdz661d	26	1	however	however	ADV
cord-102966-7vdz661d	26	2	,	,	PUNCT
cord-102966-7vdz661d	26	3	in	in	ADP
cord-102966-7vdz661d	26	4	that	that	DET
cord-102966-7vdz661d	26	5	case	case	NOUN
cord-102966-7vdz661d	26	6	as	as	ADV
cord-102966-7vdz661d	26	7	well	well	ADV
cord-102966-7vdz661d	26	8	,	,	PUNCT
cord-102966-7vdz661d	26	9	the	the	DET
cord-102966-7vdz661d	26	10	removal	removal	NOUN
cord-102966-7vdz661d	26	11	rate	rate	NOUN
cord-102966-7vdz661d	26	12	will	will	AUX
cord-102966-7vdz661d	26	13	depend	depend	VERB
cord-102966-7vdz661d	26	14	on	on	ADP
cord-102966-7vdz661d	26	15	comparison	comparison	NOUN
cord-102966-7vdz661d	26	16	between	between	ADP
cord-102966-7vdz661d	26	17	and	and	CCONJ
cord-102966-7vdz661d	26	18	the	the	DET
cord-102966-7vdz661d	26	19	distribution	distribution	NOUN
cord-102966-7vdz661d	26	20	of	of	ADP
cord-102966-7vdz661d	26	21	,	,	PUNCT
cord-102966-7vdz661d	26	22	rather	rather	ADV
cord-102966-7vdz661d	26	23	than	than	ADP
cord-102966-7vdz661d	26	24	on	on	ADP
cord-102966-7vdz661d	26	25	the	the	DET
cord-102966-7vdz661d	26	26	size	size	NOUN
cord-102966-7vdz661d	26	27	of	of	ADP
cord-102966-7vdz661d	26	28	the	the	DET
cord-102966-7vdz661d	26	29	group	group	NOUN
cord-102966-7vdz661d	26	30	remaining	remain	VERB
cord-102966-7vdz661d	26	31	infectious	infectious	ADJ
cord-102966-7vdz661d	26	32	for	for	ADP
cord-102966-7vdz661d	26	33	time	time	NOUN
cord-102966-7vdz661d	26	34	.	.	PUNCT
cord-102966-7vdz661d	27	1	starting	start	VERB
cord-102966-7vdz661d	27	2	with	with	ADP
cord-102966-7vdz661d	27	3	the	the	DET
cord-102966-7vdz661d	27	4	assumption	assumption	NOUN
cord-102966-7vdz661d	27	5	that	that	SCONJ
cord-102966-7vdz661d	27	6	individuals	individual	NOUN
cord-102966-7vdz661d	27	7	leave	leave	VERB
cord-102966-7vdz661d	27	8	the	the	DET
cord-102966-7vdz661d	27	9	infectious	infectious	ADJ
cord-102966-7vdz661d	27	10	group	group	NOUN
cord-102966-7vdz661d	27	11	at	at	ADP
cord-102966-7vdz661d	27	12	time	time	NOUN
cord-102966-7vdz661d	27	13	after	after	ADP
cord-102966-7vdz661d	27	14	infection	infection	NOUN
cord-102966-7vdz661d	27	15	,	,	PUNCT
cord-102966-7vdz661d	27	16	we	we	PRON
cord-102966-7vdz661d	27	17	develop	develop	VERB
cord-102966-7vdz661d	27	18	in	in	ADP
cord-102966-7vdz661d	27	19	this	this	DET
cord-102966-7vdz661d	27	20	paper	paper	NOUN
cord-102966-7vdz661d	27	21	a	a	DET
cord-102966-7vdz661d	27	22	corresponding	corresponding	ADJ
cord-102966-7vdz661d	27	23	mathematical	mathematical	ADJ
cord-102966-7vdz661d	27	24	model	model	NOUN
cord-102966-7vdz661d	27	25	structure	structure	NOUN
cord-102966-7vdz661d	27	26	,	,	PUNCT
cord-102966-7vdz661d	27	27	named	name	VERB
cord-102966-7vdz661d	27	28	delay	delay	NOUN
cord-102966-7vdz661d	27	29	sir	sir	PROPN
cord-102966-7vdz661d	27	30	(	(	PUNCT
cord-102966-7vdz661d	27	31	dsir	dsir	NOUN
cord-102966-7vdz661d	27	32	)	)	PUNCT
cord-102966-7vdz661d	27	33	,	,	PUNCT
cord-102966-7vdz661d	27	34	in	in	ADP
cord-102966-7vdz661d	27	35	the	the	DET
cord-102966-7vdz661d	27	36	form	form	NOUN
cord-102966-7vdz661d	27	37	of	of	ADP
cord-102966-7vdz661d	27	38	a	a	DET
cord-102966-7vdz661d	27	39	single	single	ADJ
cord-102966-7vdz661d	27	40	delay	delay	NOUN
cord-102966-7vdz661d	27	41	differential	differential	ADJ
cord-102966-7vdz661d	27	42	equation	equation	NOUN
cord-102966-7vdz661d	27	43	(	(	PUNCT
cord-102966-7vdz661d	27	44	dde	dde	X
cord-102966-7vdz661d	27	45	)	)	PUNCT
cord-102966-7vdz661d	27	46	for	for	ADP
cord-102966-7vdz661d	27	47	,	,	PUNCT
cord-102966-7vdz661d	27	48	and	and	CCONJ
cord-102966-7vdz661d	27	49	two	two	NUM
cord-102966-7vdz661d	27	50	associated	associated	ADJ
cord-102966-7vdz661d	27	51	delay	delay	NOUN
cord-102966-7vdz661d	27	52	algebraic	algebraic	ADJ
cord-102966-7vdz661d	27	53	equations	equation	NOUN
cord-102966-7vdz661d	27	54	,	,	PUNCT
cord-102966-7vdz661d	27	55	for	for	ADP
cord-102966-7vdz661d	27	56	and	and	CCONJ
cord-102966-7vdz661d	27	57	in	in	ADP
cord-102966-7vdz661d	27	58	terms	term	NOUN
cord-102966-7vdz661d	27	59	of	of	ADP
cord-102966-7vdz661d	27	60	.	.	PUNCT
cord-102966-7vdz661d	28	1	in	in	ADP
cord-102966-7vdz661d	28	2	the	the	DET
cord-102966-7vdz661d	28	3	rest	rest	NOUN
cord-102966-7vdz661d	28	4	of	of	ADP
cord-102966-7vdz661d	28	5	the	the	DET
cord-102966-7vdz661d	28	6	paper	paper	NOUN
cord-102966-7vdz661d	28	7	we	we	PRON
cord-102966-7vdz661d	28	8	first	first	ADV
cord-102966-7vdz661d	28	9	introduce	introduce	VERB
cord-102966-7vdz661d	28	10	the	the	DET
cord-102966-7vdz661d	28	11	dsir	dsir	NOUN
cord-102966-7vdz661d	28	12	model	model	NOUN
cord-102966-7vdz661d	28	13	structure	structure	NOUN
cord-102966-7vdz661d	28	14	in	in	ADP
cord-102966-7vdz661d	28	15	section	section	NOUN
cord-102966-7vdz661d	28	16	2	2	NUM
cord-102966-7vdz661d	28	17	,	,	PUNCT
cord-102966-7vdz661d	28	18	and	and	CCONJ
cord-102966-7vdz661d	28	19	provide	provide	VERB
cord-102966-7vdz661d	28	20	an	an	DET
cord-102966-7vdz661d	28	21	intuitive	intuitive	ADJ
cord-102966-7vdz661d	28	22	exposition	exposition	NOUN
cord-102966-7vdz661d	28	23	of	of	ADP
cord-102966-7vdz661d	28	24	its	its	PRON
cord-102966-7vdz661d	28	25	basic	basic	ADJ
cord-102966-7vdz661d	28	26	properties	property	NOUN
cord-102966-7vdz661d	28	27	in	in	ADP
cord-102966-7vdz661d	28	28	section	section	NOUN
cord-102966-7vdz661d	28	29	3	3	NUM
cord-102966-7vdz661d	28	30	,	,	PUNCT
cord-102966-7vdz661d	28	31	where	where	SCONJ
cord-102966-7vdz661d	28	32	we	we	PRON
cord-102966-7vdz661d	28	33	also	also	ADV
cord-102966-7vdz661d	28	34	introduce	introduce	VERB
cord-102966-7vdz661d	28	35	the	the	DET
cord-102966-7vdz661d	28	36	padé	padé	PROPN
cord-102966-7vdz661d	28	37	sir	sir	PROPN
cord-102966-7vdz661d	28	38	model	model	NOUN
cord-102966-7vdz661d	28	39	structure	structure	NOUN
cord-102966-7vdz661d	28	40	as	as	ADP
cord-102966-7vdz661d	28	41	an	an	DET
cord-102966-7vdz661d	28	42	ode	ode	ADJ
cord-102966-7vdz661d	28	43	approximation	approximation	NOUN
cord-102966-7vdz661d	28	44	of	of	ADP
cord-102966-7vdz661d	28	45	dsir	dsir	NOUN
cord-102966-7vdz661d	28	46	.	.	PUNCT
cord-102966-7vdz661d	29	1	rigorous	rigorous	ADJ
cord-102966-7vdz661d	29	2	analysis	analysis	NOUN
cord-102966-7vdz661d	29	3	follows	follow	VERB
cord-102966-7vdz661d	29	4	in	in	ADP
cord-102966-7vdz661d	29	5	section	section	NOUN
cord-102966-7vdz661d	29	6	4	4	NUM
cord-102966-7vdz661d	29	7	.	.	PUNCT
cord-102966-7vdz661d	30	1	in	in	ADP
cord-102966-7vdz661d	30	2	that	that	DET
cord-102966-7vdz661d	30	3	section	section	NOUN
cord-102966-7vdz661d	30	4	we	we	PRON
cord-102966-7vdz661d	30	5	explain	explain	VERB
cord-102966-7vdz661d	30	6	that	that	SCONJ
cord-102966-7vdz661d	30	7	certain	certain	ADJ
cord-102966-7vdz661d	30	8	sir	sir	NOUN
cord-102966-7vdz661d	30	9	and	and	CCONJ
cord-102966-7vdz661d	30	10	dsir	dsir	NOUN
cord-102966-7vdz661d	30	11	properties	property	NOUN
cord-102966-7vdz661d	30	12	are	be	AUX
cord-102966-7vdz661d	30	13	exactly	exactly	ADV
cord-102966-7vdz661d	30	14	similar	similar	ADJ
cord-102966-7vdz661d	30	15	(	(	PUNCT
cord-102966-7vdz661d	30	16	e.g.	e.g.	ADV
cord-102966-7vdz661d	30	17	herd	herd	NOUN
cord-102966-7vdz661d	30	18	immunity	immunity	NOUN
cord-102966-7vdz661d	30	19	,	,	PUNCT
cord-102966-7vdz661d	30	20	total	total	ADJ
cord-102966-7vdz661d	30	21	number	number	NOUN
cord-102966-7vdz661d	30	22	of	of	ADP
cord-102966-7vdz661d	30	23	infected	infected	ADJ
cord-102966-7vdz661d	30	24	)	)	PUNCT
cord-102966-7vdz661d	30	25	,	,	PUNCT
cord-102966-7vdz661d	30	26	while	while	SCONJ
cord-102966-7vdz661d	30	27	others	other	NOUN
cord-102966-7vdz661d	30	28	are	be	AUX
cord-102966-7vdz661d	30	29	quite	quite	ADV
cord-102966-7vdz661d	30	30	different	different	ADJ
cord-102966-7vdz661d	30	31	(	(	PUNCT
cord-102966-7vdz661d	30	32	e.g.	e.g.	ADV
cord-102966-7vdz661d	30	33	exponential	exponential	ADJ
cord-102966-7vdz661d	30	34	rates	rate	NOUN
cord-102966-7vdz661d	30	35	,	,	PUNCT
cord-102966-7vdz661d	30	36	peak	peak	NOUN
cord-102966-7vdz661d	30	37	of	of	ADP
cord-102966-7vdz661d	30	38	the	the	DET
cord-102966-7vdz661d	30	39	infectious	infectious	ADJ
cord-102966-7vdz661d	30	40	group	group	NOUN
cord-102966-7vdz661d	30	41	)	)	PUNCT
cord-102966-7vdz661d	30	42	.	.	PUNCT
cord-102966-7vdz661d	31	1	extension	extension	NOUN
cord-102966-7vdz661d	31	2	to	to	ADP
cord-102966-7vdz661d	31	3	models	model	NOUN
cord-102966-7vdz661d	31	4	with	with	ADP
cord-102966-7vdz661d	31	5	additional	additional	ADJ
cord-102966-7vdz661d	31	6	compartments	compartment	NOUN
cord-102966-7vdz661d	31	7	beyond	beyond	ADP
cord-102966-7vdz661d	31	8	s	s	PROPN
cord-102966-7vdz661d	31	9	,	,	PUNCT
cord-102966-7vdz661d	31	10	i	i	PROPN
cord-102966-7vdz661d	31	11	,	,	PUNCT
cord-102966-7vdz661d	31	12	and	and	CCONJ
cord-102966-7vdz661d	31	13	r	r	NOUN
cord-102966-7vdz661d	31	14	is	be	AUX
cord-102966-7vdz661d	31	15	discussed	discuss	VERB
cord-102966-7vdz661d	31	16	in	in	ADP
cord-102966-7vdz661d	31	17	section	section	NOUN
cord-102966-7vdz661d	31	18	5	5	NUM
cord-102966-7vdz661d	31	19	,	,	PUNCT
cord-102966-7vdz661d	31	20	with	with	ADP
cord-102966-7vdz661d	31	21	presentation	presentation	NOUN
cord-102966-7vdz661d	31	22	of	of	ADP
cord-102966-7vdz661d	31	23	the	the	DET
cord-102966-7vdz661d	31	24	dspir	dspir	NOUN
cord-102966-7vdz661d	31	25	model	model	NOUN
cord-102966-7vdz661d	31	26	.	.	PUNCT
cord-102966-7vdz661d	32	1	finally	finally	ADV
cord-102966-7vdz661d	32	2	,	,	PUNCT
cord-102966-7vdz661d	32	3	the	the	DET
cord-102966-7vdz661d	32	4	significance	significance	NOUN
cord-102966-7vdz661d	32	5	of	of	ADP
cord-102966-7vdz661d	32	6	this	this	DET
cord-102966-7vdz661d	32	7	work	work	NOUN
cord-102966-7vdz661d	32	8	and	and	CCONJ
cord-102966-7vdz661d	32	9	future	future	ADJ
cord-102966-7vdz661d	32	10	extensions	extension	NOUN
cord-102966-7vdz661d	32	11	are	be	AUX
cord-102966-7vdz661d	32	12	discussed	discuss	VERB
cord-102966-7vdz661d	32	13	.	.	PUNCT
cord-102966-7vdz661d	33	1	to	to	PART
cord-102966-7vdz661d	33	2	explain	explain	VERB
cord-102966-7vdz661d	33	3	the	the	DET
cord-102966-7vdz661d	33	4	derivation	derivation	NOUN
cord-102966-7vdz661d	33	5	of	of	ADP
cord-102966-7vdz661d	33	6	the	the	DET
cord-102966-7vdz661d	33	7	dsir	dsir	PROPN
cord-102966-7vdz661d	33	8	model	model	NOUN
cord-102966-7vdz661d	33	9	structure	structure	NOUN
cord-102966-7vdz661d	33	10	,	,	PUNCT
cord-102966-7vdz661d	33	11	we	we	PRON
cord-102966-7vdz661d	33	12	will	will	AUX
cord-102966-7vdz661d	33	13	rely	rely	VERB
cord-102966-7vdz661d	33	14	on	on	ADP
cord-102966-7vdz661d	33	15	the	the	DET
cord-102966-7vdz661d	33	16	detailed	detailed	ADJ
cord-102966-7vdz661d	33	17	version	version	NOUN
cord-102966-7vdz661d	33	18	of	of	ADP
cord-102966-7vdz661d	33	19	figure	figure	NOUN
cord-102966-7vdz661d	33	20	2	2	NUM
cord-102966-7vdz661d	33	21	shown	show	VERB
cord-102966-7vdz661d	33	22	in	in	ADP
cord-102966-7vdz661d	33	23	figure	figure	NOUN
cord-102966-7vdz661d	33	24	3	3	NUM
cord-102966-7vdz661d	33	25	.	.	PUNCT
cord-102966-7vdz661d	34	1	the	the	DET
cord-102966-7vdz661d	34	2	schematic	schematic	PROPN
cord-102966-7vdz661d	34	3	shows	show	VERB
cord-102966-7vdz661d	34	4	the	the	DET
cord-102966-7vdz661d	34	5	evolution	evolution	NOUN
cord-102966-7vdz661d	34	6	of	of	ADP
cord-102966-7vdz661d	34	7	,	,	PUNCT
cord-102966-7vdz661d	34	8	,	,	PUNCT
cord-102966-7vdz661d	34	9	over	over	ADP
cord-102966-7vdz661d	34	10	discrete	discrete	ADJ
cord-102966-7vdz661d	34	11	time	time	NOUN
cord-102966-7vdz661d	34	12	steps	step	NOUN
cord-102966-7vdz661d	34	13	=	=	NOUN
cord-102966-7vdz661d	34	14	0	0	NUM
cord-102966-7vdz661d	34	15	,	,	PUNCT
cord-102966-7vdz661d	34	16	1	1	NUM
cord-102966-7vdz661d	34	17	,	,	PUNCT
cord-102966-7vdz661d	34	18	2	2	NUM
cord-102966-7vdz661d	34	19	,	,	PUNCT
cord-102966-7vdz661d	34	20	…	…	PUNCT
cord-102966-7vdz661d	34	21	of	of	ADP
cord-102966-7vdz661d	34	22	length	length	NOUN
cord-102966-7vdz661d	34	23	each	each	PRON
cord-102966-7vdz661d	34	24	.	.	PUNCT
cord-102966-7vdz661d	35	1	the	the	DET
cord-102966-7vdz661d	35	2	thick	thick	ADJ
cord-102966-7vdz661d	35	3	-	-	PUNCT
cord-102966-7vdz661d	35	4	green	green	ADJ
cord-102966-7vdz661d	35	5	bordered	border	VERB
cord-102966-7vdz661d	35	6	rectangle	rectangle	NOUN
cord-102966-7vdz661d	35	7	in	in	ADP
cord-102966-7vdz661d	35	8	figure	figure	NOUN
cord-102966-7vdz661d	35	9	3	3	NUM
cord-102966-7vdz661d	35	10	suggests	suggest	VERB
cord-102966-7vdz661d	35	11	by	by	ADP
cord-102966-7vdz661d	35	12	visual	visual	ADJ
cord-102966-7vdz661d	35	13	inspection	inspection	NOUN
cord-102966-7vdz661d	35	14	that	that	PRON
cord-102966-7vdz661d	35	15	where	where	SCONJ
cord-102966-7vdz661d	35	16	(	(	PUNCT
cord-102966-7vdz661d	35	17	,	,	PUNCT
cord-102966-7vdz661d	35	18	)	)	PUNCT
cord-102966-7vdz661d	35	19	is	be	AUX
cord-102966-7vdz661d	35	20	the	the	DET
cord-102966-7vdz661d	35	21	rate	rate	NOUN
cord-102966-7vdz661d	35	22	at	at	ADP
cord-102966-7vdz661d	35	23	which	which	PRON
cord-102966-7vdz661d	35	24	the	the	DET
cord-102966-7vdz661d	35	25	infection	infection	NOUN
cord-102966-7vdz661d	35	26	spreads	spread	VERB
cord-102966-7vdz661d	35	27	,	,	PUNCT
cord-102966-7vdz661d	35	28	for	for	ADP
cord-102966-7vdz661d	35	29	example	example	NOUN
cord-102966-7vdz661d	35	30	in	in	ADP
cord-102966-7vdz661d	35	31	proportion	proportion	NOUN
cord-102966-7vdz661d	35	32	to	to	ADP
cord-102966-7vdz661d	35	33	the	the	DET
cord-102966-7vdz661d	35	34	product	product	NOUN
cord-102966-7vdz661d	35	35	,	,	PUNCT
cord-102966-7vdz661d	35	36	as	as	SCONJ
cord-102966-7vdz661d	35	37	shown	show	VERB
cord-102966-7vdz661d	35	38	above	above	ADV
cord-102966-7vdz661d	35	39	.	.	PUNCT
cord-102966-7vdz661d	36	1	assuming	assume	VERB
cord-102966-7vdz661d	36	2	that	that	SCONJ
cord-102966-7vdz661d	36	3	each	each	DET
cord-102966-7vdz661d	36	4	new	new	ADJ
cord-102966-7vdz661d	36	5	part	part	NOUN
cord-102966-7vdz661d	36	6	of	of	ADP
cord-102966-7vdz661d	36	7	the	the	DET
cord-102966-7vdz661d	36	8	infectious	infectious	ADJ
cord-102966-7vdz661d	36	9	fraction	fraction	NOUN
cord-102966-7vdz661d	36	10	,	,	PUNCT
cord-102966-7vdz661d	36	11	,	,	PUNCT
cord-102966-7vdz661d	36	12	gained	gain	VERB
cord-102966-7vdz661d	36	13	at	at	ADP
cord-102966-7vdz661d	36	14	a	a	DET
cord-102966-7vdz661d	36	15	given	give	VERB
cord-102966-7vdz661d	36	16	time	time	NOUN
cord-102966-7vdz661d	36	17	step	step	NOUN
cord-102966-7vdz661d	36	18	,	,	PUNCT
cord-102966-7vdz661d	36	19	,	,	PUNCT
cord-102966-7vdz661d	36	20	moves	move	NOUN
cord-102966-7vdz661d	36	21	to	to	ADP
cord-102966-7vdz661d	36	22	the	the	DET
cord-102966-7vdz661d	36	23	removed	removed	ADJ
cord-102966-7vdz661d	36	24	fraction	fraction	NOUN
cord-102966-7vdz661d	36	25	,	,	PUNCT
cord-102966-7vdz661d	36	26	,	,	PUNCT
cord-102966-7vdz661d	36	27	in	in	ADP
cord-102966-7vdz661d	36	28	time	time	NOUN
cord-102966-7vdz661d	36	29	steps	step	NOUN
cord-102966-7vdz661d	36	30	,	,	PUNCT
cord-102966-7vdz661d	36	31	the	the	DET
cord-102966-7vdz661d	36	32	thick	thick	ADJ
cord-102966-7vdz661d	36	33	-	-	PUNCT
cord-102966-7vdz661d	36	34	red	red	ADJ
cord-102966-7vdz661d	36	35	bordered	border	VERB
cord-102966-7vdz661d	36	36	rectangle	rectangle	NOUN
cord-102966-7vdz661d	36	37	in	in	ADP
cord-102966-7vdz661d	36	38	figure	figure	NOUN
cord-102966-7vdz661d	36	39	3	3	NUM
cord-102966-7vdz661d	36	40	suggests	suggest	VERB
cord-102966-7vdz661d	36	41	that	that	SCONJ
cord-102966-7vdz661d	36	42	eqns	eqns	PROPN
cord-102966-7vdz661d	36	43	.	.	PUNCT
cord-102966-7vdz661d	37	1	(	(	PUNCT
cord-102966-7vdz661d	37	2	4	4	NUM
cord-102966-7vdz661d	37	3	)	)	PUNCT
cord-102966-7vdz661d	37	4	and	and	CCONJ
cord-102966-7vdz661d	37	5	(	(	PUNCT
cord-102966-7vdz661d	37	6	5	5	X
cord-102966-7vdz661d	37	7	)	)	PUNCT
cord-102966-7vdz661d	37	8	yield	yield	NOUN
cord-102966-7vdz661d	37	9	where	where	SCONJ
cord-102966-7vdz661d	37	10	′	′	INTJ
cord-102966-7vdz661d	37	11	≝	≝	PROPN
cord-102966-7vdz661d	37	12	/	/	SYM
cord-102966-7vdz661d	37	13	and	and	CCONJ
cord-102966-7vdz661d	37	14	−	−	PROPN
cord-102966-7vdz661d	37	15	≝	≝	PROPN
cord-102966-7vdz661d	37	16	(	(	PUNCT
cord-102966-7vdz661d	37	17	−	−	PROPN
cord-102966-7vdz661d	37	18	)	)	PUNCT
cord-102966-7vdz661d	37	19	.	.	PUNCT
cord-102966-7vdz661d	38	1	eqn	eqn	PROPN
cord-102966-7vdz661d	38	2	.	.	PUNCT
cord-102966-7vdz661d	39	1	(	(	PUNCT
cord-102966-7vdz661d	39	2	7	7	NUM
cord-102966-7vdz661d	39	3	)	)	PUNCT
cord-102966-7vdz661d	39	4	is	be	AUX
cord-102966-7vdz661d	39	5	a	a	DET
cord-102966-7vdz661d	39	6	single	single	ADJ
cord-102966-7vdz661d	39	7	nonlinear	nonlinear	NOUN
cord-102966-7vdz661d	39	8	dde	dde	X
cord-102966-7vdz661d	39	9	that	that	PRON
cord-102966-7vdz661d	39	10	involves	involve	VERB
cord-102966-7vdz661d	39	11	only	only	ADV
cord-102966-7vdz661d	39	12	and	and	CCONJ
cord-102966-7vdz661d	39	13	is	be	AUX
cord-102966-7vdz661d	39	14	decoupled	decouple	VERB
cord-102966-7vdz661d	39	15	from	from	ADP
cord-102966-7vdz661d	39	16	equations	equation	NOUN
cord-102966-7vdz661d	39	17	for	for	ADP
cord-102966-7vdz661d	39	18	and	and	CCONJ
cord-102966-7vdz661d	39	19	.	.	PUNCT
cord-102966-7vdz661d	40	1	as	as	ADP
cord-102966-7vdz661d	40	2	such	such	ADJ
cord-102966-7vdz661d	40	3	,	,	PUNCT
cord-102966-7vdz661d	40	4	it	it	PRON
cord-102966-7vdz661d	40	5	captures	capture	VERB
cord-102966-7vdz661d	40	6	the	the	DET
cord-102966-7vdz661d	40	7	entire	entire	ADJ
cord-102966-7vdz661d	40	8	dynamics	dynamic	NOUN
cord-102966-7vdz661d	40	9	of	of	ADP
cord-102966-7vdz661d	40	10	the	the	DET
cord-102966-7vdz661d	40	11	dsir	dsir	NOUN
cord-102966-7vdz661d	40	12	system	system	NOUN
cord-102966-7vdz661d	40	13	.	.	PUNCT
cord-102966-7vdz661d	41	1	medrχiv.org	medrχiv.org	X
cord-102966-7vdz661d	41	2	michael	michael	PROPN
cord-102966-7vdz661d	41	3	nikolaou	nikolaou	VERB
cord-102966-7vdz661d	41	4	3	3	NUM
cord-102966-7vdz661d	41	5	the	the	DET
cord-102966-7vdz661d	41	6	remaining	remain	VERB
cord-102966-7vdz661d	41	7	two	two	NUM
cord-102966-7vdz661d	41	8	fractions	fraction	NOUN
cord-102966-7vdz661d	41	9	of	of	ADP
cord-102966-7vdz661d	41	10	the	the	DET
cord-102966-7vdz661d	41	11	population	population	NOUN
cord-102966-7vdz661d	41	12	,	,	PUNCT
cord-102966-7vdz661d	41	13	and	and	CCONJ
cord-102966-7vdz661d	41	14	,	,	PUNCT
cord-102966-7vdz661d	41	15	can	can	AUX
cord-102966-7vdz661d	41	16	simply	simply	ADV
cord-102966-7vdz661d	41	17	be	be	AUX
cord-102966-7vdz661d	41	18	inferred	infer	VERB
cord-102966-7vdz661d	41	19	by	by	ADP
cord-102966-7vdz661d	41	20	algebraic	algebraic	ADJ
cord-102966-7vdz661d	41	21	equations	equation	NOUN
cord-102966-7vdz661d	41	22	,	,	PUNCT
cord-102966-7vdz661d	41	23	as	as	ADP
cord-102966-7vdz661d	41	24	eqn	eqn	PROPN
cord-102966-7vdz661d	41	25	.	.	PUNCT
cord-102966-7vdz661d	42	1	(	(	PUNCT
cord-102966-7vdz661d	42	2	5	5	X
cord-102966-7vdz661d	42	3	)	)	PUNCT
cord-102966-7vdz661d	42	4	implies	imply	VERB
cord-102966-7vdz661d	42	5	and	and	CCONJ
cord-102966-7vdz661d	42	6	+	+	NUM
cord-102966-7vdz661d	42	7	+	+	SYM
cord-102966-7vdz661d	42	8	=	=	SYM
cord-102966-7vdz661d	42	9	1	1	NUM
cord-102966-7vdz661d	42	10	implies	imply	VERB
cord-102966-7vdz661d	42	11	to	to	PART
cord-102966-7vdz661d	42	12	put	put	VERB
cord-102966-7vdz661d	42	13	the	the	DET
cord-102966-7vdz661d	42	14	schematic	schematic	ADJ
cord-102966-7vdz661d	42	15	in	in	ADP
cord-102966-7vdz661d	42	16	figure	figure	NOUN
cord-102966-7vdz661d	42	17	3	3	NUM
cord-102966-7vdz661d	42	18	in	in	ADP
cord-102966-7vdz661d	42	19	context	context	NOUN
cord-102966-7vdz661d	42	20	,	,	PUNCT
cord-102966-7vdz661d	42	21	observe	observe	VERB
cord-102966-7vdz661d	42	22	that	that	SCONJ
cord-102966-7vdz661d	42	23	summation	summation	NOUN
cord-102966-7vdz661d	42	24	of	of	ADP
cord-102966-7vdz661d	42	25	eqns	eqns	PROPN
cord-102966-7vdz661d	42	26	.	.	PUNCT
cord-102966-7vdz661d	43	1	(	(	PUNCT
cord-102966-7vdz661d	43	2	1)-(3	1)-(3	NUM
cord-102966-7vdz661d	43	3	)	)	PUNCT
cord-102966-7vdz661d	43	4	and	and	CCONJ
cord-102966-7vdz661d	43	5	discretization	discretization	NOUN
cord-102966-7vdz661d	43	6	yields	yield	NOUN
cord-102966-7vdz661d	43	7	this	this	PRON
cord-102966-7vdz661d	43	8	suggests	suggest	VERB
cord-102966-7vdz661d	43	9	that	that	SCONJ
cord-102966-7vdz661d	43	10	,	,	PUNCT
cord-102966-7vdz661d	43	11	according	accord	VERB
cord-102966-7vdz661d	43	12	to	to	ADP
cord-102966-7vdz661d	43	13	the	the	DET
cord-102966-7vdz661d	43	14	sir	sir	PROPN
cord-102966-7vdz661d	43	15	model	model	NOUN
cord-102966-7vdz661d	43	16	,	,	PUNCT
cord-102966-7vdz661d	43	17	each	each	DET
cord-102966-7vdz661d	43	18	thickblack	thickblack	NOUN
cord-102966-7vdz661d	43	19	bordered	border	VERB
cord-102966-7vdz661d	43	20	green	green	ADJ
cord-102966-7vdz661d	43	21	rectangle	rectangle	NOUN
cord-102966-7vdz661d	43	22	in	in	ADP
cord-102966-7vdz661d	43	23	figure	figure	NOUN
cord-102966-7vdz661d	43	24	3	3	NUM
cord-102966-7vdz661d	43	25	would	would	AUX
cord-102966-7vdz661d	43	26	have	have	VERB
cord-102966-7vdz661d	43	27	to	to	PART
cord-102966-7vdz661d	43	28	be	be	AUX
cord-102966-7vdz661d	43	29	a	a	DET
cord-102966-7vdz661d	43	30	constant	constant	ADJ
cord-102966-7vdz661d	43	31	fraction	fraction	NOUN
cord-102966-7vdz661d	43	32	of	of	ADP
cord-102966-7vdz661d	43	33	the	the	DET
cord-102966-7vdz661d	43	34	immediately	immediately	ADV
cord-102966-7vdz661d	43	35	previous	previous	ADJ
cord-102966-7vdz661d	43	36	orange	orange	PROPN
cord-102966-7vdz661d	43	37	column	column	NOUN
cord-102966-7vdz661d	43	38	.	.	PUNCT
cord-102966-7vdz661d	44	1	however	however	ADV
cord-102966-7vdz661d	44	2	,	,	PUNCT
cord-102966-7vdz661d	44	3	with	with	ADP
cord-102966-7vdz661d	44	4	each	each	DET
cord-102966-7vdz661d	44	5	new	new	ADJ
cord-102966-7vdz661d	44	6	part	part	NOUN
cord-102966-7vdz661d	44	7	of	of	ADP
cord-102966-7vdz661d	44	8	the	the	DET
cord-102966-7vdz661d	44	9	infectious	infectious	ADJ
cord-102966-7vdz661d	44	10	fraction	fraction	NOUN
cord-102966-7vdz661d	44	11	moving	move	VERB
cord-102966-7vdz661d	44	12	to	to	ADP
cord-102966-7vdz661d	44	13	the	the	DET
cord-102966-7vdz661d	44	14	removed	remove	VERB
cord-102966-7vdz661d	44	15	fraction	fraction	NOUN
cord-102966-7vdz661d	44	16	after	after	ADP
cord-102966-7vdz661d	44	17	steps	step	NOUN
cord-102966-7vdz661d	44	18	(	(	PUNCT
cord-102966-7vdz661d	44	19	thickblack	thickblack	NOUN
cord-102966-7vdz661d	44	20	bordered	border	VERB
cord-102966-7vdz661d	44	21	orange	orange	NOUN
cord-102966-7vdz661d	44	22	rectangles	rectangle	NOUN
cord-102966-7vdz661d	44	23	moving	move	VERB
cord-102966-7vdz661d	44	24	to	to	ADP
cord-102966-7vdz661d	44	25	thick	thick	ADJ
cord-102966-7vdz661d	44	26	-	-	PUNCT
cord-102966-7vdz661d	44	27	black	black	ADJ
cord-102966-7vdz661d	44	28	bordered	border	VERB
cord-102966-7vdz661d	44	29	blue	blue	ADJ
cord-102966-7vdz661d	44	30	rectangles	rectangle	NOUN
cord-102966-7vdz661d	44	31	)	)	PUNCT
cord-102966-7vdz661d	44	32	this	this	PRON
cord-102966-7vdz661d	44	33	can	can	AUX
cord-102966-7vdz661d	44	34	not	not	PART
cord-102966-7vdz661d	44	35	be	be	AUX
cord-102966-7vdz661d	44	36	true	true	ADJ
cord-102966-7vdz661d	44	37	as	as	ADP
cord-102966-7vdz661d	44	38	an	an	DET
cord-102966-7vdz661d	44	39	emerging	emerge	VERB
cord-102966-7vdz661d	44	40	fact	fact	NOUN
cord-102966-7vdz661d	44	41	,	,	PUNCT
cord-102966-7vdz661d	44	42	by	by	ADP
cord-102966-7vdz661d	44	43	the	the	DET
cord-102966-7vdz661d	44	44	simple	simple	ADJ
cord-102966-7vdz661d	44	45	observation	observation	NOUN
cord-102966-7vdz661d	44	46	of	of	ADP
cord-102966-7vdz661d	44	47	the	the	DET
cord-102966-7vdz661d	44	48	shapes	shape	NOUN
cord-102966-7vdz661d	44	49	of	of	ADP
cord-102966-7vdz661d	44	50	and	and	CCONJ
cord-102966-7vdz661d	44	51	+	+	PROPN
cord-102966-7vdz661d	44	52	,	,	PUNCT
cord-102966-7vdz661d	44	53	which	which	PRON
cord-102966-7vdz661d	44	54	follow	follow	VERB
cord-102966-7vdz661d	44	55	a	a	DET
cord-102966-7vdz661d	44	56	convex	convex	NOUN
cord-102966-7vdz661d	44	57	to	to	PART
cord-102966-7vdz661d	44	58	concave	concave	VERB
cord-102966-7vdz661d	44	59	pattern	pattern	NOUN
cord-102966-7vdz661d	44	60	after	after	ADP
cord-102966-7vdz661d	44	61	an	an	DET
cord-102966-7vdz661d	44	62	inflection	inflection	NOUN
cord-102966-7vdz661d	44	63	point	point	NOUN
cord-102966-7vdz661d	44	64	.	.	PUNCT
cord-102966-7vdz661d	45	1	therefore	therefore	ADV
cord-102966-7vdz661d	45	2	,	,	PUNCT
cord-102966-7vdz661d	45	3	the	the	DET
cord-102966-7vdz661d	45	4	assumption	assumption	NOUN
cord-102966-7vdz661d	45	5	of	of	ADP
cord-102966-7vdz661d	45	6	constant	constant	ADJ
cord-102966-7vdz661d	45	7	,	,	PUNCT
cord-102966-7vdz661d	45	8	equivalent	equivalent	ADJ
cord-102966-7vdz661d	45	9	to	to	PART
cord-102966-7vdz661d	45	10	constant	constant	VERB
cord-102966-7vdz661d	45	11	in	in	ADP
cord-102966-7vdz661d	45	12	eqn	eqn	PROPN
cord-102966-7vdz661d	45	13	.	.	PUNCT
cord-102966-7vdz661d	46	1	(	(	PUNCT
cord-102966-7vdz661d	46	2	10	10	NUM
cord-102966-7vdz661d	46	3	)	)	PUNCT
cord-102966-7vdz661d	46	4	,	,	PUNCT
cord-102966-7vdz661d	46	5	is	be	AUX
cord-102966-7vdz661d	46	6	not	not	PART
cord-102966-7vdz661d	46	7	compatible	compatible	ADJ
cord-102966-7vdz661d	46	8	with	with	ADP
cord-102966-7vdz661d	46	9	the	the	DET
cord-102966-7vdz661d	46	10	assumption	assumption	NOUN
cord-102966-7vdz661d	46	11	of	of	ADP
cord-102966-7vdz661d	46	12	time	time	NOUN
cord-102966-7vdz661d	46	13	to	to	PART
cord-102966-7vdz661d	46	14	transition	transition	NOUN
cord-102966-7vdz661d	46	15	from	from	ADP
cord-102966-7vdz661d	46	16	infectious	infectious	ADJ
cord-102966-7vdz661d	46	17	to	to	ADP
cord-102966-7vdz661d	46	18	removed	remove	VERB
cord-102966-7vdz661d	46	19	being	be	AUX
cord-102966-7vdz661d	46	20	independent	independent	ADJ
cord-102966-7vdz661d	46	21	of	of	ADP
cord-102966-7vdz661d	46	22	the	the	DET
cord-102966-7vdz661d	46	23	infectious	infectious	ADJ
cord-102966-7vdz661d	46	24	fraction	fraction	NOUN
cord-102966-7vdz661d	46	25	size	size	NOUN
cord-102966-7vdz661d	46	26	.	.	PUNCT
cord-102966-7vdz661d	47	1	this	this	PRON
cord-102966-7vdz661d	47	2	will	will	AUX
cord-102966-7vdz661d	47	3	be	be	AUX
cord-102966-7vdz661d	47	4	further	far	ADV
cord-102966-7vdz661d	47	5	illustrated	illustrate	VERB
cord-102966-7vdz661d	47	6	with	with	ADP
cord-102966-7vdz661d	47	7	simulations	simulation	NOUN
cord-102966-7vdz661d	47	8	in	in	ADP
cord-102966-7vdz661d	47	9	the	the	DET
cord-102966-7vdz661d	47	10	next	next	ADJ
cord-102966-7vdz661d	47	11	section	section	NOUN
cord-102966-7vdz661d	47	12	.	.	PUNCT
cord-102966-7vdz661d	48	1	incidentally	incidentally	ADV
cord-102966-7vdz661d	48	2	,	,	PUNCT
cord-102966-7vdz661d	48	3	eqns	eqns	PROPN
cord-102966-7vdz661d	48	4	.	.	PUNCT
cord-102966-7vdz661d	49	1	(	(	PUNCT
cord-102966-7vdz661d	49	2	1)-(3	1)-(3	NUM
cord-102966-7vdz661d	49	3	)	)	PUNCT
cord-102966-7vdz661d	49	4	of	of	ADP
cord-102966-7vdz661d	49	5	the	the	DET
cord-102966-7vdz661d	49	6	sir	sir	PROPN
cord-102966-7vdz661d	49	7	model	model	NOUN
cord-102966-7vdz661d	49	8	can	can	AUX
cord-102966-7vdz661d	49	9	also	also	ADV
cord-102966-7vdz661d	49	10	be	be	AUX
cord-102966-7vdz661d	49	11	decoupled	decouple	VERB
cord-102966-7vdz661d	49	12	to	to	ADP
cord-102966-7vdz661d	49	13	a	a	DET
cord-102966-7vdz661d	49	14	single	single	ADJ
cord-102966-7vdz661d	49	15	if	if	SCONJ
cord-102966-7vdz661d	49	16	non	non	ADJ
cord-102966-7vdz661d	49	17	-	-	ADJ
cord-102966-7vdz661d	49	18	intuitive	intuitive	ADJ
cord-102966-7vdz661d	49	19	nonlinear	nonlinear	ADJ
cord-102966-7vdz661d	49	20	ode	ode	NOUN
cord-102966-7vdz661d	49	21	in	in	ADP
cord-102966-7vdz661d	49	22	terms	term	NOUN
cord-102966-7vdz661d	49	23	of	of	ADP
cord-102966-7vdz661d	49	24	,	,	PUNCT
cord-102966-7vdz661d	49	25	solved	solve	VERB
cord-102966-7vdz661d	49	26	in	in	ADP
cord-102966-7vdz661d	49	27	a	a	DET
cord-102966-7vdz661d	49	28	form	form	NOUN
cord-102966-7vdz661d	49	29	implicit	implicit	ADJ
cord-102966-7vdz661d	49	30	in	in	ADP
cord-102966-7vdz661d	49	31	time	time	NOUN
cord-102966-7vdz661d	49	32	,	,	PUNCT
cord-102966-7vdz661d	49	33	.	.	PUNCT
cord-102966-7vdz661d	50	1	7	7	NUM
cord-102966-7vdz661d	50	2	before	before	SCONJ
cord-102966-7vdz661d	50	3	any	any	DET
cord-102966-7vdz661d	50	4	theoretical	theoretical	ADJ
cord-102966-7vdz661d	50	5	properties	property	NOUN
cord-102966-7vdz661d	50	6	of	of	ADP
cord-102966-7vdz661d	50	7	the	the	DET
cord-102966-7vdz661d	50	8	dsir	dsir	PROPN
cord-102966-7vdz661d	50	9	model	model	NOUN
cord-102966-7vdz661d	50	10	structure	structure	NOUN
cord-102966-7vdz661d	50	11	are	be	AUX
cord-102966-7vdz661d	50	12	analyzed	analyze	VERB
cord-102966-7vdz661d	50	13	,	,	PUNCT
cord-102966-7vdz661d	50	14	a	a	DET
cord-102966-7vdz661d	50	15	simple	simple	ADJ
cord-102966-7vdz661d	50	16	visual	visual	ADJ
cord-102966-7vdz661d	50	17	comparison	comparison	NOUN
cord-102966-7vdz661d	50	18	between	between	ADP
cord-102966-7vdz661d	50	19	sir	sir	PROPN
cord-102966-7vdz661d	50	20	and	and	CCONJ
cord-102966-7vdz661d	50	21	dsir	dsir	NOUN
cord-102966-7vdz661d	50	22	is	be	AUX
cord-102966-7vdz661d	50	23	presented	present	VERB
cord-102966-7vdz661d	50	24	.	.	PUNCT
cord-102966-7vdz661d	51	1	unless	unless	SCONJ
cord-102966-7vdz661d	51	2	specifically	specifically	ADV
cord-102966-7vdz661d	51	3	stated	state	VERB
cord-102966-7vdz661d	51	4	otherwise	otherwise	ADV
cord-102966-7vdz661d	51	5	,	,	PUNCT
cord-102966-7vdz661d	51	6	all	all	DET
cord-102966-7vdz661d	51	7	numerical	numerical	ADJ
cord-102966-7vdz661d	51	8	simulations	simulation	NOUN
cord-102966-7vdz661d	51	9	have	have	AUX
cord-102966-7vdz661d	51	10	been	be	AUX
cord-102966-7vdz661d	51	11	conducted	conduct	VERB
cord-102966-7vdz661d	51	12	with	with	ADP
cord-102966-7vdz661d	51	13	8,9	8,9	NUM
cord-102966-7vdz661d	51	14	figure	figure	NOUN
cord-102966-7vdz661d	51	15	4	4	NUM
cord-102966-7vdz661d	51	16	is	be	AUX
cord-102966-7vdz661d	51	17	the	the	DET
cord-102966-7vdz661d	51	18	standard	standard	NOUN
cord-102966-7vdz661d	51	19	{	{	PUNCT
cord-102966-7vdz661d	51	20	,	,	PUNCT
cord-102966-7vdz661d	51	21	,	,	PUNCT
cord-102966-7vdz661d	51	22	}	}	PUNCT
cord-102966-7vdz661d	51	23	plot	plot	NOUN
cord-102966-7vdz661d	51	24	,	,	PUNCT
cord-102966-7vdz661d	51	25	for	for	ADP
cord-102966-7vdz661d	51	26	sir	sir	PROPN
cord-102966-7vdz661d	51	27	and	and	CCONJ
cord-102966-7vdz661d	51	28	dsir	dsir	PROPN
cord-102966-7vdz661d	51	29	.	.	PUNCT
cord-102966-7vdz661d	52	1	note	note	VERB
cord-102966-7vdz661d	52	2	the	the	DET
cord-102966-7vdz661d	52	3	faster	fast	ADJ
cord-102966-7vdz661d	52	4	dynamics	dynamic	NOUN
cord-102966-7vdz661d	52	5	of	of	ADP
cord-102966-7vdz661d	52	6	dsir	dsir	NOUN
cord-102966-7vdz661d	52	7	compared	compare	VERB
cord-102966-7vdz661d	52	8	to	to	ADP
cord-102966-7vdz661d	52	9	sir	sir	PROPN
cord-102966-7vdz661d	52	10	,	,	PUNCT
cord-102966-7vdz661d	52	11	the	the	DET
cord-102966-7vdz661d	52	12	approximately	approximately	ADV
cord-102966-7vdz661d	52	13	twice	twice	ADV
cord-102966-7vdz661d	52	14	as	as	ADV
cord-102966-7vdz661d	52	15	high	high	ADJ
cord-102966-7vdz661d	52	16	peak	peak	NOUN
cord-102966-7vdz661d	52	17	of	of	ADP
cord-102966-7vdz661d	52	18	i	i	PRON
cord-102966-7vdz661d	52	19	for	for	ADP
cord-102966-7vdz661d	52	20	dsir	dsir	NOUN
cord-102966-7vdz661d	52	21	compared	compare	VERB
cord-102966-7vdz661d	52	22	to	to	ADP
cord-102966-7vdz661d	52	23	sir	sir	PROPN
cord-102966-7vdz661d	52	24	,	,	PUNCT
cord-102966-7vdz661d	52	25	as	as	ADV
cord-102966-7vdz661d	52	26	well	well	ADV
cord-102966-7vdz661d	52	27	as	as	ADP
cord-102966-7vdz661d	52	28	the	the	DET
cord-102966-7vdz661d	52	29	asymmetric	asymmetric	ADJ
cord-102966-7vdz661d	52	30	profile	profile	NOUN
cord-102966-7vdz661d	52	31	of	of	ADP
cord-102966-7vdz661d	52	32	for	for	ADP
cord-102966-7vdz661d	52	33	sir	sir	PROPN
cord-102966-7vdz661d	52	34	,	,	PUNCT
cord-102966-7vdz661d	52	35	compared	compare	VERB
cord-102966-7vdz661d	52	36	to	to	ADP
cord-102966-7vdz661d	52	37	the	the	DET
cord-102966-7vdz661d	52	38	symmetric	symmetric	ADJ
cord-102966-7vdz661d	52	39	dsir	dsir	NOUN
cord-102966-7vdz661d	52	40	profile	profile	NOUN
cord-102966-7vdz661d	52	41	of	of	ADP
cord-102966-7vdz661d	52	42	.	.	PUNCT
cord-102966-7vdz661d	53	1	(	(	PUNCT
cord-102966-7vdz661d	53	2	details	detail	NOUN
cord-102966-7vdz661d	53	3	in	in	ADP
cord-102966-7vdz661d	53	4	section	section	NOUN
cord-102966-7vdz661d	53	5	4	4	NUM
cord-102966-7vdz661d	53	6	.	.	PUNCT
cord-102966-7vdz661d	53	7	)	)	PUNCT
cord-102966-7vdz661d	53	8	to	to	PART
cord-102966-7vdz661d	53	9	further	far	ADV
cord-102966-7vdz661d	53	10	illustrate	illustrate	VERB
cord-102966-7vdz661d	53	11	the	the	DET
cord-102966-7vdz661d	53	12	dsir	dsir	PROPN
cord-102966-7vdz661d	53	13	/	/	SYM
cord-102966-7vdz661d	53	14	sir	sir	PROPN
cord-102966-7vdz661d	53	15	relationship	relationship	NOUN
cord-102966-7vdz661d	53	16	,	,	PUNCT
cord-102966-7vdz661d	53	17	figure	figure	VERB
cord-102966-7vdz661d	53	18	5	5	NUM
cord-102966-7vdz661d	53	19	and	and	CCONJ
cord-102966-7vdz661d	53	20	figure	figure	VERB
cord-102966-7vdz661d	53	21	6	6	NUM
cord-102966-7vdz661d	53	22	show	show	VERB
cord-102966-7vdz661d	53	23	the	the	DET
cord-102966-7vdz661d	53	24	continuous	continuous	ADJ
cord-102966-7vdz661d	53	25	-	-	PUNCT
cord-102966-7vdz661d	53	26	time	time	NOUN
cord-102966-7vdz661d	53	27	counterparts	counterpart	NOUN
cord-102966-7vdz661d	53	28	of	of	ADP
cord-102966-7vdz661d	53	29	figure	figure	NOUN
cord-102966-7vdz661d	53	30	3	3	NUM
cord-102966-7vdz661d	53	31	for	for	ADP
cord-102966-7vdz661d	53	32	the	the	DET
cord-102966-7vdz661d	53	33	sir	sir	NOUN
cord-102966-7vdz661d	53	34	and	and	CCONJ
cord-102966-7vdz661d	53	35	dsir	dsir	NOUN
cord-102966-7vdz661d	53	36	models	model	NOUN
cord-102966-7vdz661d	53	37	,	,	PUNCT
cord-102966-7vdz661d	53	38	respectively	respectively	ADV
cord-102966-7vdz661d	53	39	.	.	PUNCT
cord-102966-7vdz661d	54	1	in	in	ADP
cord-102966-7vdz661d	54	2	this	this	DET
cord-102966-7vdz661d	54	3	stacked	stack	VERB
cord-102966-7vdz661d	54	4	representation	representation	NOUN
cord-102966-7vdz661d	54	5	of	of	ADP
cord-102966-7vdz661d	54	6	{	{	PUNCT
cord-102966-7vdz661d	54	7	,	,	PUNCT
cord-102966-7vdz661d	54	8	,	,	PUNCT
cord-102966-7vdz661d	54	9	}	}	PUNCT
cord-102966-7vdz661d	54	10	over	over	ADP
cord-102966-7vdz661d	54	11	time	time	NOUN
cord-102966-7vdz661d	54	12	,	,	PUNCT
cord-102966-7vdz661d	54	13	it	it	PRON
cord-102966-7vdz661d	54	14	is	be	AUX
cord-102966-7vdz661d	54	15	clear	clear	ADJ
cord-102966-7vdz661d	54	16	that	that	SCONJ
cord-102966-7vdz661d	54	17	the	the	DET
cord-102966-7vdz661d	54	18	sir	sir	PROPN
cord-102966-7vdz661d	54	19	model	model	NOUN
cord-102966-7vdz661d	54	20	corresponds	correspond	VERB
cord-102966-7vdz661d	54	21	to	to	ADP
cord-102966-7vdz661d	54	22	a	a	DET
cord-102966-7vdz661d	54	23	time	time	NOUN
cord-102966-7vdz661d	54	24	-	-	PUNCT
cord-102966-7vdz661d	54	25	varying	vary	VERB
cord-102966-7vdz661d	54	26	infectious	infectious	ADJ
cord-102966-7vdz661d	54	27	period	period	NOUN
cord-102966-7vdz661d	54	28	for	for	ADP
cord-102966-7vdz661d	54	29	each	each	DET
cord-102966-7vdz661d	54	30	individual	individual	NOUN
cord-102966-7vdz661d	54	31	.	.	PUNCT
cord-102966-7vdz661d	55	1	in	in	ADP
cord-102966-7vdz661d	55	2	fact	fact	NOUN
cord-102966-7vdz661d	55	3	,	,	PUNCT
cord-102966-7vdz661d	55	4	the	the	DET
cord-102966-7vdz661d	55	5	value	value	NOUN
cord-102966-7vdz661d	55	6	of	of	ADP
cord-102966-7vdz661d	55	7	calculated	calculate	VERB
cord-102966-7vdz661d	55	8	according	accord	VERB
cord-102966-7vdz661d	55	9	to	to	ADP
cord-102966-7vdz661d	55	10	eqn	eqn	NOUN
cord-102966-7vdz661d	55	11	.	.	PUNCT
cord-102966-7vdz661d	56	1	(	(	PUNCT
cord-102966-7vdz661d	56	2	3	3	X
cord-102966-7vdz661d	56	3	)	)	PUNCT
cord-102966-7vdz661d	56	4	as	as	ADP
cord-102966-7vdz661d	56	5	with	with	ADP
cord-102966-7vdz661d	56	6	′	′	PROPN
cord-102966-7vdz661d	56	7	and	and	CCONJ
cord-102966-7vdz661d	56	8	produced	produce	VERB
cord-102966-7vdz661d	56	9	by	by	ADP
cord-102966-7vdz661d	56	10	the	the	DET
cord-102966-7vdz661d	56	11	dsir	dsir	PROPN
cord-102966-7vdz661d	56	12	model	model	NOUN
cord-102966-7vdz661d	56	13	,	,	PUNCT
cord-102966-7vdz661d	56	14	is	be	AUX
cord-102966-7vdz661d	56	15	time	time	NOUN
cord-102966-7vdz661d	56	16	varying	vary	VERB
cord-102966-7vdz661d	56	17	,	,	PUNCT
cord-102966-7vdz661d	56	18	as	as	SCONJ
cord-102966-7vdz661d	56	19	shown	show	VERB
cord-102966-7vdz661d	56	20	in	in	ADP
cord-102966-7vdz661d	56	21	figure	figure	NOUN
cord-102966-7vdz661d	56	22	7	7	NUM
cord-102966-7vdz661d	56	23	.	.	PUNCT
cord-102966-7vdz661d	57	1	this	this	DET
cord-102966-7vdz661d	57	2	discrepancy	discrepancy	NOUN
cord-102966-7vdz661d	57	3	suggests	suggest	VERB
cord-102966-7vdz661d	57	4	that	that	SCONJ
cord-102966-7vdz661d	57	5	the	the	DET
cord-102966-7vdz661d	57	6	standard	standard	ADJ
cord-102966-7vdz661d	57	7	interpretation	interpretation	NOUN
cord-102966-7vdz661d	57	8	of	of	ADP
cord-102966-7vdz661d	57	9	1/	1/	NUM
cord-102966-7vdz661d	57	10	as	as	ADP
cord-102966-7vdz661d	57	11	the	the	DET
cord-102966-7vdz661d	57	12	average	average	ADJ
cord-102966-7vdz661d	57	13	infectious	infectious	ADJ
cord-102966-7vdz661d	57	14	period	period	NOUN
cord-102966-7vdz661d	57	15	…	…	PUNCT
cord-102966-7vdz661d	57	16	estimated	estimate	VERB
cord-102966-7vdz661d	57	17	relatively	relatively	ADV
cord-102966-7vdz661d	57	18	precisely	precisely	ADV
cord-102966-7vdz661d	57	19	from	from	ADP
cord-102966-7vdz661d	57	20	epidemiological	epidemiological	ADJ
cord-102966-7vdz661d	57	21	data	datum	NOUN
cord-102966-7vdz661d	57	22	2	2	NUM
cord-102966-7vdz661d	57	23	is	be	AUX
cord-102966-7vdz661d	57	24	increasingly	increasingly	ADV
cord-102966-7vdz661d	57	25	inaccurate	inaccurate	ADJ
cord-102966-7vdz661d	57	26	as	as	ADP
cord-102966-7vdz661d	57	27	0	0	NUM
cord-102966-7vdz661d	57	28	increases	increase	NOUN
cord-102966-7vdz661d	57	29	above	above	ADP
cord-102966-7vdz661d	57	30	1	1	NUM
cord-102966-7vdz661d	57	31	.	.	PUNCT
cord-102966-7vdz661d	58	1	what	what	PRON
cord-102966-7vdz661d	58	2	is	be	AUX
cord-102966-7vdz661d	58	3	estimated	estimate	VERB
cord-102966-7vdz661d	58	4	from	from	ADP
cord-102966-7vdz661d	58	5	epidemiological	epidemiological	ADJ
cord-102966-7vdz661d	58	6	data	datum	NOUN
cord-102966-7vdz661d	58	7	is	be	AUX
cord-102966-7vdz661d	58	8	the	the	DET
cord-102966-7vdz661d	58	9	delay	delay	NOUN
cord-102966-7vdz661d	58	10	,	,	PUNCT
cord-102966-7vdz661d	58	11	rather	rather	ADV
cord-102966-7vdz661d	58	12	than	than	ADP
cord-102966-7vdz661d	58	13	,	,	PUNCT
cord-102966-7vdz661d	58	14	and	and	CCONJ
cord-102966-7vdz661d	58	15	if	if	SCONJ
cord-102966-7vdz661d	58	16	1/	1/	PROPN
cord-102966-7vdz661d	58	17	is	be	AUX
cord-102966-7vdz661d	58	18	used	use	VERB
cord-102966-7vdz661d	58	19	as	as	ADP
cord-102966-7vdz661d	58	20	an	an	DET
cord-102966-7vdz661d	58	21	estimate	estimate	NOUN
cord-102966-7vdz661d	58	22	of	of	ADP
cord-102966-7vdz661d	58	23	,	,	PUNCT
cord-102966-7vdz661d	58	24	as	as	SCONJ
cord-102966-7vdz661d	58	25	is	be	AUX
cord-102966-7vdz661d	58	26	typically	typically	ADV
cord-102966-7vdz661d	58	27	done	do	VERB
cord-102966-7vdz661d	58	28	,	,	PUNCT
cord-102966-7vdz661d	58	29	the	the	DET
cord-102966-7vdz661d	58	30	sir	sir	PROPN
cord-102966-7vdz661d	58	31	model	model	NOUN
cord-102966-7vdz661d	58	32	response	response	NOUN
cord-102966-7vdz661d	58	33	will	will	AUX
cord-102966-7vdz661d	58	34	be	be	AUX
cord-102966-7vdz661d	58	35	too	too	ADV
cord-102966-7vdz661d	58	36	slow	slow	ADJ
cord-102966-7vdz661d	58	37	,	,	PUNCT
cord-102966-7vdz661d	58	38	with	with	ADP
cord-102966-7vdz661d	58	39	a	a	DET
cord-102966-7vdz661d	58	40	peak	peak	NOUN
cord-102966-7vdz661d	58	41	value	value	NOUN
cord-102966-7vdz661d	58	42	for	for	ADP
cord-102966-7vdz661d	58	43	lower	low	ADJ
cord-102966-7vdz661d	58	44	than	than	ADP
cord-102966-7vdz661d	58	45	its	its	PRON
cord-102966-7vdz661d	58	46	dsir	dsir	NOUN
cord-102966-7vdz661d	58	47	counterpart	counterpart	NOUN
cord-102966-7vdz661d	58	48	by	by	ADP
cord-102966-7vdz661d	58	49	about	about	ADV
cord-102966-7vdz661d	58	50	half	half	NOUN
cord-102966-7vdz661d	58	51	.	.	PUNCT
cord-102966-7vdz661d	59	1	depending	depend	VERB
cord-102966-7vdz661d	59	2	on	on	ADP
cord-102966-7vdz661d	59	3	.	.	PUNCT
cord-102966-7vdz661d	60	1	cc	cc	X
cord-102966-7vdz661d	60	2	-	-	PUNCT
cord-102966-7vdz661d	60	3	by	by	ADP
cord-102966-7vdz661d	60	4	-	-	PUNCT
cord-102966-7vdz661d	60	5	nc	nc	PROPN
cord-102966-7vdz661d	60	6	-	-	PUNCT
cord-102966-7vdz661d	60	7	nd	nd	PROPN
cord-102966-7vdz661d	60	8	4.0	4.0	NUM
cord-102966-7vdz661d	60	9	international	international	ADJ
cord-102966-7vdz661d	60	10	license	license	NOUN
cord-102966-7vdz661d	60	11	it	it	PRON
cord-102966-7vdz661d	60	12	is	be	AUX
cord-102966-7vdz661d	60	13	made	make	VERB
cord-102966-7vdz661d	60	14	available	available	ADJ
cord-102966-7vdz661d	60	15	under	under	ADP
cord-102966-7vdz661d	60	16	a	a	PRON
cord-102966-7vdz661d	60	17	is	be	AUX
cord-102966-7vdz661d	60	18	the	the	DET
cord-102966-7vdz661d	60	19	author	author	NOUN
cord-102966-7vdz661d	60	20	/	/	SYM
cord-102966-7vdz661d	60	21	funder	funder	NOUN
cord-102966-7vdz661d	60	22	,	,	PUNCT
cord-102966-7vdz661d	60	23	who	who	PRON
cord-102966-7vdz661d	60	24	has	have	AUX
cord-102966-7vdz661d	60	25	granted	grant	VERB
cord-102966-7vdz661d	60	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	60	27	a	a	DET
cord-102966-7vdz661d	60	28	license	license	NOUN
cord-102966-7vdz661d	60	29	to	to	PART
cord-102966-7vdz661d	60	30	display	display	VERB
cord-102966-7vdz661d	60	31	the	the	DET
cord-102966-7vdz661d	60	32	preprint	preprint	NOUN
cord-102966-7vdz661d	60	33	in	in	ADP
cord-102966-7vdz661d	60	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	60	35	.	.	PUNCT
cord-102966-7vdz661d	61	1	(	(	PUNCT
cord-102966-7vdz661d	61	2	which	which	PRON
cord-102966-7vdz661d	61	3	was	be	AUX
cord-102966-7vdz661d	61	4	not	not	PART
cord-102966-7vdz661d	61	5	certified	certify	VERB
cord-102966-7vdz661d	61	6	by	by	ADP
cord-102966-7vdz661d	61	7	peer	peer	NOUN
cord-102966-7vdz661d	61	8	review	review	NOUN
cord-102966-7vdz661d	61	9	)	)	PUNCT
cord-102966-7vdz661d	61	10	the	the	DET
cord-102966-7vdz661d	61	11	copyright	copyright	NOUN
cord-102966-7vdz661d	61	12	holder	holder	NOUN
cord-102966-7vdz661d	61	13	for	for	ADP
cord-102966-7vdz661d	61	14	this	this	DET
cord-102966-7vdz661d	61	15	preprint	preprint	NOUN
cord-102966-7vdz661d	61	16	this	this	DET
cord-102966-7vdz661d	61	17	version	version	NOUN
cord-102966-7vdz661d	61	18	posted	post	VERB
cord-102966-7vdz661d	61	19	may	may	PROPN
cord-102966-7vdz661d	61	20	1	1	NUM
cord-102966-7vdz661d	61	21	,	,	PUNCT
cord-102966-7vdz661d	61	22	2020	2020	NUM
cord-102966-7vdz661d	61	23	.	.	PUNCT
cord-102966-7vdz661d	62	1	(	(	PUNCT
cord-102966-7vdz661d	62	2	9	9	NUM
cord-102966-7vdz661d	62	3	)	)	PUNCT
cord-102966-7vdz661d	62	4	.	.	PUNCT
cord-102966-7vdz661d	63	1	note	note	VERB
cord-102966-7vdz661d	63	2	that	that	PRON
cord-102966-7vdz661d	63	3	remains	remain	VERB
cord-102966-7vdz661d	63	4	constant	constant	ADJ
cord-102966-7vdz661d	63	5	.	.	PUNCT
cord-102966-7vdz661d	64	1	figure	figure	NOUN
cord-102966-7vdz661d	64	2	5	5	NUM
cord-102966-7vdz661d	64	3	is	be	AUX
cord-102966-7vdz661d	64	4	also	also	ADV
cord-102966-7vdz661d	64	5	superimposed	superimpose	VERB
cord-102966-7vdz661d	64	6	,	,	PUNCT
cord-102966-7vdz661d	64	7	for	for	ADP
cord-102966-7vdz661d	64	8	comparison	comparison	NOUN
cord-102966-7vdz661d	64	9	.	.	PUNCT
cord-102966-7vdz661d	65	1	the	the	DET
cord-102966-7vdz661d	65	2	correspondence	correspondence	NOUN
cord-102966-7vdz661d	65	3	=	=	SYM
cord-102966-7vdz661d	65	4	1/	1/	PROPN
cord-102966-7vdz661d	65	5	was	be	AUX
cord-102966-7vdz661d	65	6	used	use	VERB
cord-102966-7vdz661d	65	7	.	.	PUNCT
cord-102966-7vdz661d	66	1	(	(	PUNCT
cord-102966-7vdz661d	66	2	9	9	NUM
cord-102966-7vdz661d	66	3	)	)	PUNCT
cord-102966-7vdz661d	66	4	.	.	PUNCT
cord-102966-7vdz661d	67	1	note	note	VERB
cord-102966-7vdz661d	67	2	that	that	SCONJ
cord-102966-7vdz661d	67	3	all	all	DET
cord-102966-7vdz661d	67	4	lines	line	NOUN
cord-102966-7vdz661d	67	5	start	start	VERB
cord-102966-7vdz661d	67	6	at	at	ADP
cord-102966-7vdz661d	67	7	=	=	NOUN
cord-102966-7vdz661d	67	8	,	,	PUNCT
cord-102966-7vdz661d	67	9	as	as	ADP
cord-102966-7vdz661d	67	10	′	′	X
cord-102966-7vdz661d	67	11	(	(	PUNCT
cord-102966-7vdz661d	67	12	<	<	X
cord-102966-7vdz661d	67	13	)	)	PUNCT
cord-102966-7vdz661d	67	14	=	=	NOUN
cord-102966-7vdz661d	67	15	0	0	X
cord-102966-7vdz661d	67	16	.	.	PUNCT
cord-102966-7vdz661d	68	1	note	note	VERB
cord-102966-7vdz661d	68	2	also	also	ADV
cord-102966-7vdz661d	68	3	small	small	ADJ
cord-102966-7vdz661d	68	4	spurious	spurious	ADJ
cord-102966-7vdz661d	68	5	deviations	deviation	NOUN
cord-102966-7vdz661d	68	6	from	from	ADP
cord-102966-7vdz661d	68	7	constant	constant	ADJ
cord-102966-7vdz661d	68	8	shortly	shortly	ADV
cord-102966-7vdz661d	68	9	after	after	ADP
cord-102966-7vdz661d	68	10	=	=	PROPN
cord-102966-7vdz661d	68	11	,	,	PUNCT
cord-102966-7vdz661d	68	12	due	due	ADP
cord-102966-7vdz661d	68	13	to	to	ADP
cord-102966-7vdz661d	68	14	numerical	numerical	ADJ
cord-102966-7vdz661d	68	15	approximation	approximation	NOUN
cord-102966-7vdz661d	68	16	of	of	ADP
cord-102966-7vdz661d	68	17	(	(	PUNCT
cord-102966-7vdz661d	68	18	≤	≤	PROPN
cord-102966-7vdz661d	68	19	0	0	NUM
cord-102966-7vdz661d	68	20	)	)	PUNCT
cord-102966-7vdz661d	68	21	,	,	PUNCT
cord-102966-7vdz661d	68	22	by	by	ADP
cord-102966-7vdz661d	68	23	the	the	DET
cord-102966-7vdz661d	68	24	continuous	continuous	ADJ
cord-102966-7vdz661d	68	25	function	function	NOUN
cord-102966-7vdz661d	68	26	as	as	SCONJ
cord-102966-7vdz661d	68	27	pointed	point	VERB
cord-102966-7vdz661d	68	28	out	out	ADP
cord-102966-7vdz661d	68	29	in	in	ADP
cord-102966-7vdz661d	68	30	the	the	DET
cord-102966-7vdz661d	68	31	preceding	precede	VERB
cord-102966-7vdz661d	68	32	sections	section	NOUN
cord-102966-7vdz661d	68	33	,	,	PUNCT
cord-102966-7vdz661d	68	34	interpreting	interpret	VERB
cord-102966-7vdz661d	68	35	the	the	DET
cord-102966-7vdz661d	68	36	value	value	NOUN
cord-102966-7vdz661d	68	37	of	of	ADP
cord-102966-7vdz661d	68	38	in	in	ADP
cord-102966-7vdz661d	68	39	the	the	DET
cord-102966-7vdz661d	68	40	sir	sir	PROPN
cord-102966-7vdz661d	68	41	model	model	NOUN
cord-102966-7vdz661d	68	42	as	as	SCONJ
cord-102966-7vdz661d	68	43	the	the	DET
cord-102966-7vdz661d	68	44	average	average	ADJ
cord-102966-7vdz661d	68	45	infectious	infectious	ADJ
cord-102966-7vdz661d	68	46	period	period	NOUN
cord-102966-7vdz661d	68	47	is	be	AUX
cord-102966-7vdz661d	68	48	not	not	PART
cord-102966-7vdz661d	68	49	accurate	accurate	ADJ
cord-102966-7vdz661d	68	50	and	and	CCONJ
cord-102966-7vdz661d	68	51	produces	produce	VERB
cord-102966-7vdz661d	68	52	misleading	misleading	ADJ
cord-102966-7vdz661d	68	53	results	result	NOUN
cord-102966-7vdz661d	68	54	.	.	PUNCT
cord-102966-7vdz661d	69	1	it	it	PRON
cord-102966-7vdz661d	69	2	turns	turn	VERB
cord-102966-7vdz661d	69	3	out	out	ADP
cord-102966-7vdz661d	69	4	(	(	PUNCT
cord-102966-7vdz661d	69	5	appendix	appendix	VERB
cord-102966-7vdz661d	69	6	a	a	PRON
cord-102966-7vdz661d	69	7	)	)	PUNCT
cord-102966-7vdz661d	69	8	that	that	SCONJ
cord-102966-7vdz661d	69	9	the	the	DET
cord-102966-7vdz661d	69	10	following	follow	VERB
cord-102966-7vdz661d	69	11	simple	simple	ADJ
cord-102966-7vdz661d	69	12	remedy	remedy	NOUN
cord-102966-7vdz661d	69	13	can	can	AUX
cord-102966-7vdz661d	69	14	be	be	AUX
cord-102966-7vdz661d	69	15	used	use	VERB
cord-102966-7vdz661d	69	16	to	to	PART
cord-102966-7vdz661d	69	17	retain	retain	VERB
cord-102966-7vdz661d	69	18	the	the	DET
cord-102966-7vdz661d	69	19	ode	ode	ADJ
cord-102966-7vdz661d	69	20	structure	structure	NOUN
cord-102966-7vdz661d	69	21	of	of	ADP
cord-102966-7vdz661d	69	22	the	the	DET
cord-102966-7vdz661d	69	23	standard	standard	ADJ
cord-102966-7vdz661d	69	24	sir	sir	PROPN
cord-102966-7vdz661d	69	25	model	model	NOUN
cord-102966-7vdz661d	69	26	,	,	PUNCT
cord-102966-7vdz661d	69	27	while	while	SCONJ
cord-102966-7vdz661d	69	28	better	well	ADV
cord-102966-7vdz661d	69	29	approximating	approximate	VERB
cord-102966-7vdz661d	69	30	the	the	DET
cord-102966-7vdz661d	69	31	dde	dde	ADJ
cord-102966-7vdz661d	69	32	dynamics	dynamic	NOUN
cord-102966-7vdz661d	69	33	of	of	ADP
cord-102966-7vdz661d	69	34	the	the	DET
cord-102966-7vdz661d	69	35	more	more	ADV
cord-102966-7vdz661d	69	36	realistic	realistic	ADJ
cord-102966-7vdz661d	69	37	dsir	dsir	NOUN
cord-102966-7vdz661d	69	38	model	model	NOUN
cord-102966-7vdz661d	69	39	structure	structure	NOUN
cord-102966-7vdz661d	69	40	:	:	PUNCT
cord-102966-7vdz661d	69	41	the	the	DET
cord-102966-7vdz661d	69	42	sir	sir	PROPN
cord-102966-7vdz661d	69	43	equations	equation	NOUN
cord-102966-7vdz661d	69	44	for	for	ADP
cord-102966-7vdz661d	69	45	{	{	PUNCT
cord-102966-7vdz661d	69	46	′	′	INTJ
cord-102966-7vdz661d	69	47	,	,	PUNCT
cord-102966-7vdz661d	69	48	′	′	PROPN
cord-102966-7vdz661d	69	49	}	}	PUNCT
cord-102966-7vdz661d	69	50	,	,	PUNCT
cord-102966-7vdz661d	69	51	eqns	eqns	PROPN
cord-102966-7vdz661d	69	52	.	.	PUNCT
cord-102966-7vdz661d	70	1	(	(	PUNCT
cord-102966-7vdz661d	70	2	2	2	NUM
cord-102966-7vdz661d	70	3	)	)	PUNCT
cord-102966-7vdz661d	70	4	and	and	CCONJ
cord-102966-7vdz661d	70	5	(	(	PUNCT
cord-102966-7vdz661d	70	6	3	3	X
cord-102966-7vdz661d	70	7	)	)	PUNCT
cord-102966-7vdz661d	70	8	,	,	PUNCT
cord-102966-7vdz661d	70	9	can	can	AUX
cord-102966-7vdz661d	70	10	be	be	AUX
cord-102966-7vdz661d	70	11	replaced	replace	VERB
cord-102966-7vdz661d	70	12	by	by	ADP
cord-102966-7vdz661d	70	13	the	the	DET
cord-102966-7vdz661d	70	14	equally	equally	ADV
cord-102966-7vdz661d	70	15	simple	simple	ADJ
cord-102966-7vdz661d	70	16	odes	ode	NOUN
cord-102966-7vdz661d	70	17	or	or	CCONJ
cord-102966-7vdz661d	70	18	by	by	ADP
cord-102966-7vdz661d	70	19	the	the	DET
cord-102966-7vdz661d	70	20	more	more	ADV
cord-102966-7vdz661d	70	21	accurate	accurate	ADJ
cord-102966-7vdz661d	70	22	set	set	NOUN
cord-102966-7vdz661d	70	23	of	of	ADP
cord-102966-7vdz661d	70	24	odes	ode	NOUN
cord-102966-7vdz661d	70	25	with	with	ADP
cord-102966-7vdz661d	70	26	2	2	NUM
cord-102966-7vdz661d	70	27	(	(	PUNCT
cord-102966-7vdz661d	70	28	0	0	NUM
cord-102966-7vdz661d	70	29	)	)	PUNCT
cord-102966-7vdz661d	70	30	=	=	SYM
cord-102966-7vdz661d	70	31	0	0	X
cord-102966-7vdz661d	70	32	.	.	PUNCT
cord-102966-7vdz661d	71	1	figure	figure	NOUN
cord-102966-7vdz661d	71	2	8	8	NUM
cord-102966-7vdz661d	71	3	confirms	confirm	VERB
cord-102966-7vdz661d	71	4	that	that	SCONJ
cord-102966-7vdz661d	71	5	the	the	DET
cord-102966-7vdz661d	71	6	trajectories	trajectory	NOUN
cord-102966-7vdz661d	71	7	for	for	ADP
cord-102966-7vdz661d	71	8	the	the	DET
cord-102966-7vdz661d	71	9	dsir	dsir	NOUN
cord-102966-7vdz661d	71	10	and	and	CCONJ
cord-102966-7vdz661d	71	11	the	the	DET
cord-102966-7vdz661d	71	12	modified	modified	ADJ
cord-102966-7vdz661d	71	13	sir	sir	NOUN
cord-102966-7vdz661d	71	14	model	model	NOUN
cord-102966-7vdz661d	71	15	structures	structure	NOUN
cord-102966-7vdz661d	71	16	-eqns	-eqns	ADV
cord-102966-7vdz661d	71	17	.	.	PUNCT
cord-102966-7vdz661d	72	1	(	(	PUNCT
cord-102966-7vdz661d	72	2	7)-(9	7)-(9	NOUN
cord-102966-7vdz661d	72	3	)	)	PUNCT
cord-102966-7vdz661d	72	4	and	and	CCONJ
cord-102966-7vdz661d	72	5	(	(	PUNCT
cord-102966-7vdz661d	72	6	1)-(3	1)-(3	NUM
cord-102966-7vdz661d	72	7	)	)	PUNCT
cord-102966-7vdz661d	72	8	with	with	ADP
cord-102966-7vdz661d	72	9	eqn	eqn	PROPN
cord-102966-7vdz661d	72	10	.	.	PUNCT
cord-102966-7vdz661d	73	1	(	(	PUNCT
cord-102966-7vdz661d	73	2	2	2	X
cord-102966-7vdz661d	73	3	)	)	PUNCT
cord-102966-7vdz661d	73	4	replaced	replace	VERB
cord-102966-7vdz661d	73	5	by	by	ADP
cord-102966-7vdz661d	73	6	(	(	PUNCT
cord-102966-7vdz661d	73	7	13	13	NUM
cord-102966-7vdz661d	73	8	)	)	PUNCT
cord-102966-7vdz661d	73	9	or	or	CCONJ
cord-102966-7vdz661d	73	10	(	(	PUNCT
cord-102966-7vdz661d	73	11	14	14	NUM
cord-102966-7vdz661d	73	12	)	)	PUNCT
cord-102966-7vdz661d	73	13	,	,	PUNCT
cord-102966-7vdz661d	73	14	respectively	respectively	ADV
cord-102966-7vdz661d	73	15	-are	-are	VERB
cord-102966-7vdz661d	73	16	close	close	ADJ
cord-102966-7vdz661d	73	17	to	to	ADP
cord-102966-7vdz661d	73	18	one	one	NUM
cord-102966-7vdz661d	73	19	another	another	PRON
cord-102966-7vdz661d	73	20	,	,	PUNCT
cord-102966-7vdz661d	73	21	both	both	CCONJ
cord-102966-7vdz661d	73	22	in	in	ADP
cord-102966-7vdz661d	73	23	terms	term	NOUN
cord-102966-7vdz661d	73	24	of	of	ADP
cord-102966-7vdz661d	73	25	the	the	DET
cord-102966-7vdz661d	73	26	time	time	NOUN
cord-102966-7vdz661d	73	27	to	to	PART
cord-102966-7vdz661d	73	28	peak	peak	VERB
cord-102966-7vdz661d	73	29	and	and	CCONJ
cord-102966-7vdz661d	73	30	the	the	DET
cord-102966-7vdz661d	73	31	value	value	NOUN
cord-102966-7vdz661d	73	32	of	of	ADP
cord-102966-7vdz661d	73	33	the	the	DET
cord-102966-7vdz661d	73	34	peak	peak	NOUN
cord-102966-7vdz661d	73	35	.	.	PUNCT
cord-102966-7vdz661d	74	1	as	as	SCONJ
cord-102966-7vdz661d	74	2	already	already	ADV
cord-102966-7vdz661d	74	3	mentioned	mention	VERB
cord-102966-7vdz661d	74	4	,	,	PUNCT
cord-102966-7vdz661d	74	5	these	these	DET
cord-102966-7vdz661d	74	6	properties	property	NOUN
cord-102966-7vdz661d	74	7	are	be	AUX
cord-102966-7vdz661d	74	8	important	important	ADJ
cord-102966-7vdz661d	74	9	when	when	SCONJ
cord-102966-7vdz661d	74	10	such	such	ADJ
cord-102966-7vdz661d	74	11	models	model	NOUN
cord-102966-7vdz661d	74	12	are	be	AUX
cord-102966-7vdz661d	74	13	used	use	VERB
cord-102966-7vdz661d	74	14	to	to	PART
cord-102966-7vdz661d	74	15	anticipate	anticipate	VERB
cord-102966-7vdz661d	74	16	hospitalization	hospitalization	NOUN
cord-102966-7vdz661d	74	17	needs	need	VERB
cord-102966-7vdz661d	74	18	for	for	ADP
cord-102966-7vdz661d	74	19	the	the	DET
cord-102966-7vdz661d	74	20	infected	infect	VERB
cord-102966-7vdz661d	74	21	during	during	ADP
cord-102966-7vdz661d	74	22	an	an	DET
cord-102966-7vdz661d	74	23	epidemic	epidemic	NOUN
cord-102966-7vdz661d	74	24	.	.	PUNCT
cord-102966-7vdz661d	75	1	figure	figure	NOUN
cord-102966-7vdz661d	75	2	8	8	NUM
cord-102966-7vdz661d	75	3	.	.	PUNCT
cord-102966-7vdz661d	76	1	comparison	comparison	NOUN
cord-102966-7vdz661d	76	2	of	of	ADP
cord-102966-7vdz661d	76	3	the	the	DET
cord-102966-7vdz661d	76	4	profiles	profile	NOUN
cord-102966-7vdz661d	76	5	for	for	ADP
cord-102966-7vdz661d	76	6	the	the	DET
cord-102966-7vdz661d	76	7	first	first	ADJ
cord-102966-7vdz661d	76	8	-	-	PUNCT
cord-102966-7vdz661d	76	9	order	order	NOUN
cord-102966-7vdz661d	76	10	padé	padé	PROPN
cord-102966-7vdz661d	76	11	sir	sir	PROPN
cord-102966-7vdz661d	76	12	,	,	PUNCT
cord-102966-7vdz661d	76	13	second	second	ADJ
cord-102966-7vdz661d	76	14	-	-	PUNCT
cord-102966-7vdz661d	76	15	order	order	NOUN
cord-102966-7vdz661d	76	16	padé	padé	PROPN
cord-102966-7vdz661d	76	17	sir	sir	PROPN
cord-102966-7vdz661d	76	18	,	,	PUNCT
cord-102966-7vdz661d	76	19	dsir	dsir	PROPN
cord-102966-7vdz661d	76	20	,	,	PUNCT
cord-102966-7vdz661d	76	21	and	and	CCONJ
cord-102966-7vdz661d	76	22	sir	sir	NOUN
cord-102966-7vdz661d	76	23	models	model	NOUN
cord-102966-7vdz661d	76	24	.	.	PUNCT
cord-102966-7vdz661d	77	1	note	note	VERB
cord-102966-7vdz661d	77	2	the	the	DET
cord-102966-7vdz661d	77	3	improve	improve	ADJ
cord-102966-7vdz661d	77	4	approximation	approximation	NOUN
cord-102966-7vdz661d	77	5	of	of	ADP
cord-102966-7vdz661d	77	6	dsir	dsir	NOUN
cord-102966-7vdz661d	77	7	by	by	ADP
cord-102966-7vdz661d	77	8	the	the	DET
cord-102966-7vdz661d	77	9	second	second	ADJ
cord-102966-7vdz661d	77	10	-	-	PUNCT
cord-102966-7vdz661d	77	11	order	order	NOUN
cord-102966-7vdz661d	77	12	padé	padé	PROPN
cord-102966-7vdz661d	77	13	sir	sir	PROPN
cord-102966-7vdz661d	77	14	,	,	PUNCT
cord-102966-7vdz661d	77	15	compared	compare	VERB
cord-102966-7vdz661d	77	16	to	to	ADP
cord-102966-7vdz661d	77	17	first	first	ADJ
cord-102966-7vdz661d	77	18	-	-	PUNCT
cord-102966-7vdz661d	77	19	order	order	NOUN
cord-102966-7vdz661d	77	20	padé	padé	PROPN
cord-102966-7vdz661d	77	21	sir	sir	PROPN
cord-102966-7vdz661d	77	22	,	,	PUNCT
cord-102966-7vdz661d	77	23	as	as	SCONJ
cord-102966-7vdz661d	77	24	anticipated	anticipate	VERB
cord-102966-7vdz661d	77	25	by	by	ADP
cord-102966-7vdz661d	77	26	eqns	eqns	PROPN
cord-102966-7vdz661d	77	27	.	.	PUNCT
cord-102966-7vdz661d	78	1	(	(	PUNCT
cord-102966-7vdz661d	78	2	13	13	NUM
cord-102966-7vdz661d	78	3	)	)	PUNCT
cord-102966-7vdz661d	78	4	or	or	CCONJ
cord-102966-7vdz661d	78	5	(	(	PUNCT
cord-102966-7vdz661d	78	6	14	14	NUM
cord-102966-7vdz661d	78	7	)	)	PUNCT
cord-102966-7vdz661d	78	8	,	,	PUNCT
cord-102966-7vdz661d	78	9	respectively	respectively	ADV
cord-102966-7vdz661d	78	10	.	.	PUNCT
cord-102966-7vdz661d	79	1	note	note	VERB
cord-102966-7vdz661d	79	2	(	(	PUNCT
cord-102966-7vdz661d	79	3	appendix	appendix	VERB
cord-102966-7vdz661d	79	4	a	a	PRON
cord-102966-7vdz661d	79	5	)	)	PUNCT
cord-102966-7vdz661d	79	6	that	that	SCONJ
cord-102966-7vdz661d	79	7	the	the	DET
cord-102966-7vdz661d	79	8	essence	essence	NOUN
cord-102966-7vdz661d	79	9	of	of	ADP
cord-102966-7vdz661d	79	10	eqns	eqns	PROPN
cord-102966-7vdz661d	79	11	.	.	PUNCT
cord-102966-7vdz661d	80	1	(	(	PUNCT
cord-102966-7vdz661d	80	2	13	13	NUM
cord-102966-7vdz661d	80	3	)	)	PUNCT
cord-102966-7vdz661d	80	4	and	and	CCONJ
cord-102966-7vdz661d	80	5	(	(	PUNCT
cord-102966-7vdz661d	80	6	14	14	NUM
cord-102966-7vdz661d	80	7	)	)	PUNCT
cord-102966-7vdz661d	80	8	is	be	AUX
cord-102966-7vdz661d	80	9	in	in	ADP
cord-102966-7vdz661d	80	10	approximating	approximate	VERB
cord-102966-7vdz661d	80	11	the	the	DET
cord-102966-7vdz661d	80	12	pulse	pulse	NOUN
cord-102966-7vdz661d	80	13	profile	profile	NOUN
cord-102966-7vdz661d	80	14	(	(	PUNCT
cord-102966-7vdz661d	80	15	)	)	PUNCT
cord-102966-7vdz661d	80	16	−	−	PROPN
cord-102966-7vdz661d	80	17	(	(	PUNCT
cord-102966-7vdz661d	80	18	−	−	PROPN
cord-102966-7vdz661d	80	19	)	)	PUNCT
cord-102966-7vdz661d	80	20	in	in	ADP
cord-102966-7vdz661d	80	21	figure	figure	NOUN
cord-102966-7vdz661d	80	22	2	2	NUM
cord-102966-7vdz661d	80	23	by	by	ADP
cord-102966-7vdz661d	80	24	a	a	DET
cord-102966-7vdz661d	80	25	transfer	transfer	NOUN
cord-102966-7vdz661d	80	26	function	function	NOUN
cord-102966-7vdz661d	80	27	approximation	approximation	NOUN
cord-102966-7vdz661d	80	28	based	base	VERB
cord-102966-7vdz661d	80	29	on	on	ADP
cord-102966-7vdz661d	80	30	firstor	firstor	NOUN
cord-102966-7vdz661d	80	31	second	second	ADJ
cord-102966-7vdz661d	80	32	-	-	PUNCT
cord-102966-7vdz661d	80	33	order	order	NOUN
cord-102966-7vdz661d	80	34	padé	padé	NOUN
cord-102966-7vdz661d	80	35	-	-	PUNCT
cord-102966-7vdz661d	80	36	approximants	approximant	NOUN
cord-102966-7vdz661d	80	37	(	(	PUNCT
cord-102966-7vdz661d	80	38	in	in	ADP
cord-102966-7vdz661d	80	39	the	the	DET
cord-102966-7vdz661d	80	40	laplace	laplace	NOUN
cord-102966-7vdz661d	80	41	domain	domain	NOUN
cord-102966-7vdz661d	80	42	)	)	PUNCT
cord-102966-7vdz661d	80	43	(	(	PUNCT
cord-102966-7vdz661d	80	44	rather	rather	ADV
cord-102966-7vdz661d	80	45	than	than	ADP
cord-102966-7vdz661d	80	46	by	by	ADP
cord-102966-7vdz661d	80	47	the	the	DET
cord-102966-7vdz661d	80	48	decaying	decay	VERB
cord-102966-7vdz661d	80	49	exponential	exponential	NOUN
cord-102966-7vdz661d	80	50	of	of	ADP
cord-102966-7vdz661d	80	51	figure	figure	NOUN
cord-102966-7vdz661d	80	52	2	2	NUM
cord-102966-7vdz661d	80	53	)	)	PUNCT
cord-102966-7vdz661d	80	54	as	as	SCONJ
cord-102966-7vdz661d	80	55	shown	show	VERB
cord-102966-7vdz661d	80	56	in	in	ADP
cord-102966-7vdz661d	80	57	figure	figure	NOUN
cord-102966-7vdz661d	80	58	9	9	NUM
cord-102966-7vdz661d	80	59	.	.	PUNCT
cord-102966-7vdz661d	81	1	padé	padé	PROPN
cord-102966-7vdz661d	81	2	-	-	PUNCT
cord-102966-7vdz661d	81	3	approximation	approximation	NOUN
cord-102966-7vdz661d	81	4	has	have	AUX
cord-102966-7vdz661d	81	5	long	long	ADV
cord-102966-7vdz661d	81	6	been	be	AUX
cord-102966-7vdz661d	81	7	a	a	DET
cord-102966-7vdz661d	81	8	popular	popular	ADJ
cord-102966-7vdz661d	81	9	.	.	PUNCT
cord-102966-7vdz661d	82	1	cc	cc	NOUN
cord-102966-7vdz661d	82	2	-	-	PUNCT
cord-102966-7vdz661d	82	3	by	by	ADP
cord-102966-7vdz661d	82	4	-	-	PUNCT
cord-102966-7vdz661d	82	5	nc	nc	PROPN
cord-102966-7vdz661d	82	6	-	-	PUNCT
cord-102966-7vdz661d	82	7	nd	nd	PROPN
cord-102966-7vdz661d	82	8	4.0	4.0	NUM
cord-102966-7vdz661d	82	9	international	international	ADJ
cord-102966-7vdz661d	82	10	license	license	NOUN
cord-102966-7vdz661d	82	11	it	it	PRON
cord-102966-7vdz661d	82	12	is	be	AUX
cord-102966-7vdz661d	82	13	made	make	VERB
cord-102966-7vdz661d	82	14	available	available	ADJ
cord-102966-7vdz661d	82	15	under	under	ADP
cord-102966-7vdz661d	82	16	a	a	PRON
cord-102966-7vdz661d	82	17	is	be	AUX
cord-102966-7vdz661d	82	18	the	the	DET
cord-102966-7vdz661d	82	19	author	author	NOUN
cord-102966-7vdz661d	82	20	/	/	SYM
cord-102966-7vdz661d	82	21	funder	funder	NOUN
cord-102966-7vdz661d	82	22	,	,	PUNCT
cord-102966-7vdz661d	82	23	who	who	PRON
cord-102966-7vdz661d	82	24	has	have	AUX
cord-102966-7vdz661d	82	25	granted	grant	VERB
cord-102966-7vdz661d	82	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	82	27	a	a	DET
cord-102966-7vdz661d	82	28	license	license	NOUN
cord-102966-7vdz661d	82	29	to	to	PART
cord-102966-7vdz661d	82	30	display	display	VERB
cord-102966-7vdz661d	82	31	the	the	DET
cord-102966-7vdz661d	82	32	preprint	preprint	NOUN
cord-102966-7vdz661d	82	33	in	in	ADP
cord-102966-7vdz661d	82	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	82	35	.	.	PUNCT
cord-102966-7vdz661d	83	1	the	the	DET
cord-102966-7vdz661d	83	2	copyright	copyright	NOUN
cord-102966-7vdz661d	83	3	holder	holder	NOUN
cord-102966-7vdz661d	83	4	for	for	ADP
cord-102966-7vdz661d	83	5	this	this	DET
cord-102966-7vdz661d	83	6	preprint	preprint	NOUN
cord-102966-7vdz661d	83	7	this	this	DET
cord-102966-7vdz661d	83	8	version	version	NOUN
cord-102966-7vdz661d	83	9	posted	post	VERB
cord-102966-7vdz661d	83	10	may	may	PROPN
cord-102966-7vdz661d	83	11	1	1	NUM
cord-102966-7vdz661d	83	12	,	,	PUNCT
cord-102966-7vdz661d	83	13	2020	2020	NUM
cord-102966-7vdz661d	83	14	.	.	PUNCT
cord-102966-7vdz661d	83	15	.	.	PUNCT
cord-102966-7vdz661d	84	1	https://doi.org/10.1101/2020.04.26.20080960	https://doi.org/10.1101/2020.04.26.20080960	PROPN
cord-102966-7vdz661d	84	2	doi	doi	PROPN
cord-102966-7vdz661d	84	3	:	:	PUNCT
cord-102966-7vdz661d	84	4	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	84	5	preprint	preprint	PROPN
cord-102966-7vdz661d	84	6	medrχiv.org	medrχiv.org	PROPN
cord-102966-7vdz661d	84	7	michael	michael	PROPN
cord-102966-7vdz661d	84	8	nikolaou	nikolaou	PROPN
cord-102966-7vdz661d	84	9	approach	approach	NOUN
cord-102966-7vdz661d	84	10	for	for	ADP
cord-102966-7vdz661d	84	11	approximating	approximate	VERB
cord-102966-7vdz661d	84	12	transcendental	transcendental	ADJ
cord-102966-7vdz661d	84	13	transfer	transfer	NOUN
cord-102966-7vdz661d	84	14	functions	function	NOUN
cord-102966-7vdz661d	84	15	by	by	ADP
cord-102966-7vdz661d	84	16	polynomial	polynomial	ADJ
cord-102966-7vdz661d	84	17	rational	rational	ADJ
cord-102966-7vdz661d	84	18	fractions	fraction	NOUN
cord-102966-7vdz661d	84	19	in	in	ADP
cord-102966-7vdz661d	84	20	process	process	NOUN
cord-102966-7vdz661d	84	21	control	control	NOUN
cord-102966-7vdz661d	84	22	.	.	PUNCT
cord-102966-7vdz661d	85	1	11	11	NUM
cord-102966-7vdz661d	85	2	figure	figure	NOUN
cord-102966-7vdz661d	85	3	9	9	NUM
cord-102966-7vdz661d	85	4	.	.	PUNCT
cord-102966-7vdz661d	86	1	reduction	reduction	NOUN
cord-102966-7vdz661d	86	2	of	of	ADP
cord-102966-7vdz661d	86	3	the	the	DET
cord-102966-7vdz661d	86	4	infectious	infectious	ADJ
cord-102966-7vdz661d	86	5	fraction	fraction	NOUN
cord-102966-7vdz661d	86	6	from	from	ADP
cord-102966-7vdz661d	86	7	(	(	PUNCT
cord-102966-7vdz661d	86	8	0	0	NUM
cord-102966-7vdz661d	86	9	)	)	PUNCT
cord-102966-7vdz661d	86	10	to	to	ADP
cord-102966-7vdz661d	86	11	0	0	NUM
cord-102966-7vdz661d	86	12	(	(	PUNCT
cord-102966-7vdz661d	86	13	a	a	X
cord-102966-7vdz661d	86	14	)	)	PUNCT
cord-102966-7vdz661d	86	15	in	in	ADP
cord-102966-7vdz661d	86	16	a	a	DET
cord-102966-7vdz661d	86	17	single	single	ADJ
cord-102966-7vdz661d	86	18	front	front	NOUN
cord-102966-7vdz661d	86	19	in	in	ADP
cord-102966-7vdz661d	86	20	terms	term	NOUN
cord-102966-7vdz661d	86	21	of	of	ADP
cord-102966-7vdz661d	86	22	the	the	DET
cord-102966-7vdz661d	86	23	heaviside	heaviside	NOUN
cord-102966-7vdz661d	86	24	step	step	NOUN
cord-102966-7vdz661d	86	25	function	function	NOUN
cord-102966-7vdz661d	86	26	with	with	ADP
cord-102966-7vdz661d	86	27	=	=	PROPN
cord-102966-7vdz661d	86	28	1/	1/	NUM
cord-102966-7vdz661d	86	29	,	,	PUNCT
cord-102966-7vdz661d	86	30	(	(	PUNCT
cord-102966-7vdz661d	86	31	b	b	NOUN
cord-102966-7vdz661d	86	32	)	)	PUNCT
cord-102966-7vdz661d	86	33	following	follow	VERB
cord-102966-7vdz661d	86	34	a	a	DET
cord-102966-7vdz661d	86	35	first	first	ADJ
cord-102966-7vdz661d	86	36	-	-	PUNCT
cord-102966-7vdz661d	86	37	order	order	NOUN
cord-102966-7vdz661d	86	38	padé	padé	NOUN
cord-102966-7vdz661d	86	39	approximation	approximation	NOUN
cord-102966-7vdz661d	86	40	,	,	PUNCT
cord-102966-7vdz661d	86	41	and	and	CCONJ
cord-102966-7vdz661d	86	42	(	(	PUNCT
cord-102966-7vdz661d	86	43	c	c	NOUN
cord-102966-7vdz661d	86	44	)	)	PUNCT
cord-102966-7vdz661d	86	45	following	follow	VERB
cord-102966-7vdz661d	86	46	a	a	DET
cord-102966-7vdz661d	86	47	second	second	ADJ
cord-102966-7vdz661d	86	48	-	-	PUNCT
cord-102966-7vdz661d	86	49	order	order	NOUN
cord-102966-7vdz661d	86	50	padé	padé	NOUN
cord-102966-7vdz661d	86	51	approximation	approximation	NOUN
cord-102966-7vdz661d	86	52	.	.	PUNCT
cord-102966-7vdz661d	87	1	(	(	PUNCT
cord-102966-7vdz661d	87	2	cf	cf	PROPN
cord-102966-7vdz661d	87	3	.	.	PUNCT
cord-102966-7vdz661d	87	4	figure	figure	NOUN
cord-102966-7vdz661d	87	5	2	2	NUM
cord-102966-7vdz661d	87	6	)	)	PUNCT
cord-102966-7vdz661d	87	7	.	.	PUNCT
cord-102966-7vdz661d	88	1	because	because	SCONJ
cord-102966-7vdz661d	88	2	of	of	ADP
cord-102966-7vdz661d	88	3	the	the	DET
cord-102966-7vdz661d	88	4	critical	critical	ADJ
cord-102966-7vdz661d	88	5	role	role	NOUN
cord-102966-7vdz661d	88	6	of	of	ADP
cord-102966-7vdz661d	88	7	padé	padé	PROPN
cord-102966-7vdz661d	88	8	approximation	approximation	NOUN
cord-102966-7vdz661d	88	9	in	in	ADP
cord-102966-7vdz661d	88	10	deriving	derive	VERB
cord-102966-7vdz661d	88	11	eqn	eqn	PROPN
cord-102966-7vdz661d	88	12	.	.	PUNCT
cord-102966-7vdz661d	89	1	(	(	PUNCT
cord-102966-7vdz661d	89	2	14	14	NUM
cord-102966-7vdz661d	89	3	)	)	PUNCT
cord-102966-7vdz661d	89	4	for	for	ADP
cord-102966-7vdz661d	89	5	the	the	DET
cord-102966-7vdz661d	89	6	odes	ode	NOUN
cord-102966-7vdz661d	89	7	of	of	ADP
cord-102966-7vdz661d	89	8	the	the	DET
cord-102966-7vdz661d	89	9	modified	modified	ADJ
cord-102966-7vdz661d	89	10	sir	sir	NOUN
cord-102966-7vdz661d	89	11	model	model	NOUN
cord-102966-7vdz661d	89	12	to	to	PART
cord-102966-7vdz661d	89	13	approximate	approximate	VERB
cord-102966-7vdz661d	89	14	the	the	DET
cord-102966-7vdz661d	89	15	dsir	dsir	NOUN
cord-102966-7vdz661d	89	16	model	model	NOUN
cord-102966-7vdz661d	89	17	,	,	PUNCT
cord-102966-7vdz661d	89	18	we	we	PRON
cord-102966-7vdz661d	89	19	will	will	AUX
cord-102966-7vdz661d	89	20	use	use	VERB
cord-102966-7vdz661d	89	21	the	the	DET
cord-102966-7vdz661d	89	22	term	term	NOUN
cord-102966-7vdz661d	89	23	padé	padé	VERB
cord-102966-7vdz661d	89	24	sir	sir	PROPN
cord-102966-7vdz661d	89	25	to	to	PART
cord-102966-7vdz661d	89	26	denote	denote	VERB
cord-102966-7vdz661d	89	27	the	the	DET
cord-102966-7vdz661d	89	28	modified	modify	VERB
cord-102966-7vdz661d	89	29	sir	sir	PROPN
cord-102966-7vdz661d	89	30	model	model	NOUN
cord-102966-7vdz661d	89	31	structure	structure	NOUN
cord-102966-7vdz661d	89	32	.	.	PUNCT
cord-102966-7vdz661d	90	1	finally	finally	ADV
cord-102966-7vdz661d	90	2	,	,	PUNCT
cord-102966-7vdz661d	90	3	it	it	PRON
cord-102966-7vdz661d	90	4	should	should	AUX
cord-102966-7vdz661d	90	5	be	be	AUX
cord-102966-7vdz661d	90	6	noted	note	VERB
cord-102966-7vdz661d	90	7	that	that	SCONJ
cord-102966-7vdz661d	90	8	eqn	eqn	PROPN
cord-102966-7vdz661d	90	9	.	.	PUNCT
cord-102966-7vdz661d	91	1	(	(	PUNCT
cord-102966-7vdz661d	91	2	13	13	NUM
cord-102966-7vdz661d	91	3	)	)	PUNCT
cord-102966-7vdz661d	91	4	may	may	AUX
cord-102966-7vdz661d	91	5	seem	seem	VERB
cord-102966-7vdz661d	91	6	counter	counter	ADJ
cord-102966-7vdz661d	91	7	-	-	ADJ
cord-102966-7vdz661d	91	8	intuitive	intuitive	ADJ
cord-102966-7vdz661d	91	9	,	,	PUNCT
cord-102966-7vdz661d	91	10	as	as	SCONJ
cord-102966-7vdz661d	91	11	it	it	PRON
cord-102966-7vdz661d	91	12	appears	appear	VERB
cord-102966-7vdz661d	91	13	to	to	PART
cord-102966-7vdz661d	91	14	suggest	suggest	VERB
cord-102966-7vdz661d	91	15	that	that	SCONJ
cord-102966-7vdz661d	91	16	the	the	DET
cord-102966-7vdz661d	91	17	generation	generation	NOUN
cord-102966-7vdz661d	91	18	and	and	CCONJ
cord-102966-7vdz661d	91	19	depletion	depletion	NOUN
cord-102966-7vdz661d	91	20	rates	rate	NOUN
cord-102966-7vdz661d	91	21	of	of	ADP
cord-102966-7vdz661d	91	22	are	be	AUX
cord-102966-7vdz661d	91	23	2	2	NUM
cord-102966-7vdz661d	91	24	and	and	CCONJ
cord-102966-7vdz661d	91	25	−2	−2	NUM
cord-102966-7vdz661d	91	26	/	/	SYM
cord-102966-7vdz661d	91	27	,	,	PUNCT
cord-102966-7vdz661d	91	28	respectively	respectively	ADV
cord-102966-7vdz661d	91	29	.	.	PUNCT
cord-102966-7vdz661d	92	1	however	however	ADV
cord-102966-7vdz661d	92	2	,	,	PUNCT
cord-102966-7vdz661d	92	3	eqn	eqn	PROPN
cord-102966-7vdz661d	92	4	.	.	PUNCT
cord-102966-7vdz661d	93	1	(	(	PUNCT
cord-102966-7vdz661d	93	2	13	13	NUM
cord-102966-7vdz661d	93	3	)	)	PUNCT
cord-102966-7vdz661d	93	4	rather	rather	ADV
cord-102966-7vdz661d	93	5	suggests	suggest	VERB
cord-102966-7vdz661d	93	6	that	that	SCONJ
cord-102966-7vdz661d	93	7	while	while	SCONJ
cord-102966-7vdz661d	93	8	the	the	DET
cord-102966-7vdz661d	93	9	susceptible	susceptible	ADJ
cord-102966-7vdz661d	93	10	depletion	depletion	NOUN
cord-102966-7vdz661d	93	11	rate	rate	NOUN
cord-102966-7vdz661d	93	12	remains	remain	VERB
cord-102966-7vdz661d	93	13	−	−	PROPN
cord-102966-7vdz661d	93	14	,	,	PUNCT
cord-102966-7vdz661d	93	15	the	the	DET
cord-102966-7vdz661d	93	16	infectious	infectious	ADJ
cord-102966-7vdz661d	93	17	depletion	depletion	NOUN
cord-102966-7vdz661d	93	18	rate	rate	NOUN
cord-102966-7vdz661d	93	19	appears	appear	VERB
cord-102966-7vdz661d	93	20	as	as	ADP
cord-102966-7vdz661d	93	21	(	(	PUNCT
cord-102966-7vdz661d	93	22	−	−	PROPN
cord-102966-7vdz661d	93	23	2/	2/	NUM
cord-102966-7vdz661d	93	24	)	)	PUNCT
cord-102966-7vdz661d	93	25	(	(	PUNCT
cord-102966-7vdz661d	93	26	which	which	PRON
cord-102966-7vdz661d	93	27	is	be	AUX
cord-102966-7vdz661d	93	28	-dependent	-dependent	ADJ
cord-102966-7vdz661d	93	29	)	)	PUNCT
cord-102966-7vdz661d	93	30	rather	rather	ADV
cord-102966-7vdz661d	93	31	than	than	ADP
cord-102966-7vdz661d	93	32	−	−	PROPN
cord-102966-7vdz661d	93	33	/	/	PUNCT
cord-102966-7vdz661d	93	34	(	(	PUNCT
cord-102966-7vdz661d	93	35	which	which	PRON
cord-102966-7vdz661d	93	36	is	be	AUX
cord-102966-7vdz661d	93	37	not	not	PART
cord-102966-7vdz661d	93	38	)	)	PUNCT
cord-102966-7vdz661d	93	39	due	due	ADJ
cord-102966-7vdz661d	93	40	simply	simply	ADV
cord-102966-7vdz661d	93	41	to	to	ADP
cord-102966-7vdz661d	93	42	replacement	replacement	NOUN
cord-102966-7vdz661d	93	43	of	of	ADP
cord-102966-7vdz661d	93	44	the	the	DET
cord-102966-7vdz661d	93	45	delay	delay	NOUN
cord-102966-7vdz661d	93	46	term	term	NOUN
cord-102966-7vdz661d	93	47	−	−	PROPN
cord-102966-7vdz661d	93	48	in	in	ADP
cord-102966-7vdz661d	93	49	the	the	DET
cord-102966-7vdz661d	93	50	laplace	laplace	NOUN
cord-102966-7vdz661d	93	51	domain	domain	NOUN
cord-102966-7vdz661d	93	52	by	by	ADP
cord-102966-7vdz661d	93	53	its	its	PRON
cord-102966-7vdz661d	93	54	padé	padé	PROPN
cord-102966-7vdz661d	93	55	approximant	approximant	NOUN
cord-102966-7vdz661d	93	56	.	.	PUNCT
cord-102966-7vdz661d	94	1	similarly	similarly	ADV
cord-102966-7vdz661d	94	2	,	,	PUNCT
cord-102966-7vdz661d	94	3	the	the	DET
cord-102966-7vdz661d	94	4	rate	rate	NOUN
cord-102966-7vdz661d	94	5	of	of	ADP
cord-102966-7vdz661d	94	6	increase	increase	NOUN
cord-102966-7vdz661d	94	7	for	for	ADP
cord-102966-7vdz661d	94	8	in	in	ADP
cord-102966-7vdz661d	94	9	eqn	eqn	NOUN
cord-102966-7vdz661d	94	10	.	.	PUNCT
cord-102966-7vdz661d	95	1	(	(	PUNCT
cord-102966-7vdz661d	95	2	13	13	NUM
cord-102966-7vdz661d	95	3	)	)	PUNCT
cord-102966-7vdz661d	95	4	is	be	AUX
cord-102966-7vdz661d	95	5	-dependent	-dependent	ADJ
cord-102966-7vdz661d	95	6	,	,	PUNCT
cord-102966-7vdz661d	95	7	rather	rather	ADV
cord-102966-7vdz661d	95	8	than	than	ADP
cord-102966-7vdz661d	95	9	not	not	PART
cord-102966-7vdz661d	95	10	.	.	PUNCT
cord-102966-7vdz661d	96	1	standard	standard	ADJ
cord-102966-7vdz661d	96	2	theory	theory	NOUN
cord-102966-7vdz661d	96	3	of	of	ADP
cord-102966-7vdz661d	96	4	ddes	dde	NOUN
cord-102966-7vdz661d	96	5	(	(	PUNCT
cord-102966-7vdz661d	96	6	e.g.	e.g.	ADV
cord-102966-7vdz661d	96	7	equation	equation	NOUN
cord-102966-7vdz661d	96	8	(	(	PUNCT
cord-102966-7vdz661d	96	9	9.42	9.42	NUM
cord-102966-7vdz661d	96	10	)	)	PUNCT
cord-102966-7vdz661d	96	11	in	in	ADP
cord-102966-7vdz661d	96	12	ch	ch	PROPN
cord-102966-7vdz661d	96	13	.	.	PROPN
cord-102966-7vdz661d	96	14	4	4	NUM
cord-102966-7vdz661d	96	15	and	and	CCONJ
cord-102966-7vdz661d	96	16	equation	equation	NOUN
cord-102966-7vdz661d	96	17	(	(	PUNCT
cord-102966-7vdz661d	96	18	1.2	1.2	NUM
cord-102966-7vdz661d	96	19	)	)	PUNCT
cord-102966-7vdz661d	96	20	in	in	ADP
cord-102966-7vdz661d	96	21	ch	ch	PROPN
cord-102966-7vdz661d	96	22	.	.	PROPN
cord-102966-7vdz661d	96	23	5	5	NUM
cord-102966-7vdz661d	96	24	of	of	ADP
cord-102966-7vdz661d	96	25	kuang	kuang	PROPN
cord-102966-7vdz661d	96	26	,	,	PUNCT
cord-102966-7vdz661d	96	27	12	12	NUM
cord-102966-7vdz661d	96	28	or	or	CCONJ
cord-102966-7vdz661d	96	29	gopalsamy	gopalsamy	ADJ
cord-102966-7vdz661d	96	30	13	13	NUM
cord-102966-7vdz661d	96	31	)	)	PUNCT
cord-102966-7vdz661d	96	32	can	can	AUX
cord-102966-7vdz661d	96	33	be	be	AUX
cord-102966-7vdz661d	96	34	applied	apply	VERB
cord-102966-7vdz661d	96	35	to	to	PART
cord-102966-7vdz661d	96	36	establish	establish	VERB
cord-102966-7vdz661d	96	37	rigorous	rigorous	ADJ
cord-102966-7vdz661d	96	38	properties	property	NOUN
cord-102966-7vdz661d	96	39	for	for	ADP
cord-102966-7vdz661d	96	40	the	the	DET
cord-102966-7vdz661d	96	41	dsir	dsir	PROPN
cord-102966-7vdz661d	96	42	model	model	NOUN
cord-102966-7vdz661d	96	43	,	,	PUNCT
cord-102966-7vdz661d	96	44	such	such	ADJ
cord-102966-7vdz661d	96	45	as	as	ADP
cord-102966-7vdz661d	96	46	global	global	ADJ
cord-102966-7vdz661d	96	47	stability	stability	NOUN
cord-102966-7vdz661d	96	48	,	,	PUNCT
cord-102966-7vdz661d	96	49	convergence	convergence	NOUN
cord-102966-7vdz661d	96	50	to	to	ADP
cord-102966-7vdz661d	96	51	a	a	DET
cord-102966-7vdz661d	96	52	final	final	ADJ
cord-102966-7vdz661d	96	53	steady	steady	ADJ
cord-102966-7vdz661d	96	54	state	state	NOUN
cord-102966-7vdz661d	96	55	,	,	PUNCT
cord-102966-7vdz661d	96	56	and	and	CCONJ
cord-102966-7vdz661d	96	57	others	other	NOUN
cord-102966-7vdz661d	96	58	.	.	PUNCT
cord-102966-7vdz661d	97	1	a	a	DET
cord-102966-7vdz661d	97	2	complete	complete	ADJ
cord-102966-7vdz661d	97	3	analysis	analysis	NOUN
cord-102966-7vdz661d	97	4	is	be	AUX
cord-102966-7vdz661d	97	5	beyond	beyond	ADP
cord-102966-7vdz661d	97	6	the	the	DET
cord-102966-7vdz661d	97	7	scope	scope	NOUN
cord-102966-7vdz661d	97	8	of	of	ADP
cord-102966-7vdz661d	97	9	this	this	DET
cord-102966-7vdz661d	97	10	paper	paper	NOUN
cord-102966-7vdz661d	97	11	.	.	PUNCT
cord-102966-7vdz661d	98	1	however	however	ADV
cord-102966-7vdz661d	98	2	,	,	PUNCT
cord-102966-7vdz661d	98	3	some	some	DET
cord-102966-7vdz661d	98	4	important	important	ADJ
cord-102966-7vdz661d	98	5	theoretical	theoretical	ADJ
cord-102966-7vdz661d	98	6	properties	property	NOUN
cord-102966-7vdz661d	98	7	of	of	ADP
cord-102966-7vdz661d	98	8	the	the	DET
cord-102966-7vdz661d	98	9	dsir	dsir	PROPN
cord-102966-7vdz661d	98	10	model	model	NOUN
cord-102966-7vdz661d	98	11	structure	structure	NOUN
cord-102966-7vdz661d	98	12	of	of	ADP
cord-102966-7vdz661d	98	13	practical	practical	ADJ
cord-102966-7vdz661d	98	14	interest	interest	NOUN
cord-102966-7vdz661d	98	15	are	be	AUX
cord-102966-7vdz661d	98	16	discussed	discuss	VERB
cord-102966-7vdz661d	98	17	next	next	ADV
cord-102966-7vdz661d	98	18	,	,	PUNCT
cord-102966-7vdz661d	98	19	particularly	particularly	ADV
cord-102966-7vdz661d	98	20	in	in	ADP
cord-102966-7vdz661d	98	21	comparison	comparison	NOUN
cord-102966-7vdz661d	98	22	to	to	ADP
cord-102966-7vdz661d	98	23	their	their	PRON
cord-102966-7vdz661d	98	24	sir	sir	PROPN
cord-102966-7vdz661d	98	25	counterparts	counterpart	NOUN
cord-102966-7vdz661d	98	26	.	.	PUNCT
cord-102966-7vdz661d	99	1	the	the	DET
cord-102966-7vdz661d	99	2	analysis	analysis	NOUN
cord-102966-7vdz661d	99	3	of	of	ADP
cord-102966-7vdz661d	99	4	the	the	DET
cord-102966-7vdz661d	99	5	padé	padé	PROPN
cord-102966-7vdz661d	99	6	sir	sir	PROPN
cord-102966-7vdz661d	99	7	model	model	PROPN
cord-102966-7vdz661d	99	8	follows	follow	VERB
cord-102966-7vdz661d	99	9	standard	standard	ADJ
cord-102966-7vdz661d	99	10	ode	ode	NOUN
cord-102966-7vdz661d	99	11	analysis	analysis	NOUN
cord-102966-7vdz661d	99	12	and	and	CCONJ
cord-102966-7vdz661d	99	13	is	be	AUX
cord-102966-7vdz661d	99	14	presented	present	VERB
cord-102966-7vdz661d	99	15	more	more	ADV
cord-102966-7vdz661d	99	16	briefly	briefly	ADV
cord-102966-7vdz661d	99	17	,	,	PUNCT
cord-102966-7vdz661d	99	18	except	except	SCONJ
cord-102966-7vdz661d	99	19	when	when	SCONJ
cord-102966-7vdz661d	99	20	it	it	PRON
cord-102966-7vdz661d	99	21	has	have	AUX
cord-102966-7vdz661d	99	22	important	important	ADJ
cord-102966-7vdz661d	99	23	implications	implication	NOUN
cord-102966-7vdz661d	99	24	for	for	ADP
cord-102966-7vdz661d	99	25	either	either	CCONJ
cord-102966-7vdz661d	99	26	theoretical	theoretical	ADJ
cord-102966-7vdz661d	99	27	or	or	CCONJ
cord-102966-7vdz661d	99	28	practical	practical	ADJ
cord-102966-7vdz661d	99	29	issues	issue	NOUN
cord-102966-7vdz661d	99	30	.	.	PUNCT
cord-102966-7vdz661d	100	1	eqn	eqn	PROPN
cord-102966-7vdz661d	100	2	.	.	PUNCT
cord-102966-7vdz661d	101	1	(	(	PUNCT
cord-102966-7vdz661d	101	2	7	7	NUM
cord-102966-7vdz661d	101	3	)	)	PUNCT
cord-102966-7vdz661d	101	4	can	can	AUX
cord-102966-7vdz661d	101	5	be	be	AUX
cord-102966-7vdz661d	101	6	used	use	VERB
cord-102966-7vdz661d	101	7	to	to	PART
cord-102966-7vdz661d	101	8	show	show	VERB
cord-102966-7vdz661d	101	9	(	(	PUNCT
cord-102966-7vdz661d	101	10	appendix	appendix	PROPN
cord-102966-7vdz661d	101	11	b	b	PROPN
cord-102966-7vdz661d	101	12	)	)	PUNCT
cord-102966-7vdz661d	101	13	that	that	SCONJ
cord-102966-7vdz661d	101	14	an	an	DET
cord-102966-7vdz661d	101	15	equilibrium	equilibrium	NOUN
cord-102966-7vdz661d	101	16	point	point	NOUN
cord-102966-7vdz661d	101	17	̅	̅	NOUN
cord-102966-7vdz661d	101	18	is	be	AUX
cord-102966-7vdz661d	101	19	stable	stable	ADJ
cord-102966-7vdz661d	101	20	and	and	CCONJ
cord-102966-7vdz661d	101	21	an	an	DET
cord-102966-7vdz661d	101	22	epidemic	epidemic	NOUN
cord-102966-7vdz661d	101	23	outbreak	outbreak	NOUN
cord-102966-7vdz661d	101	24	does	do	AUX
cord-102966-7vdz661d	101	25	not	not	PART
cord-102966-7vdz661d	101	26	occur	occur	VERB
cord-102966-7vdz661d	101	27	iff	iff	NOUN
cord-102966-7vdz661d	101	28	note	note	NOUN
cord-102966-7vdz661d	101	29	that	that	SCONJ
cord-102966-7vdz661d	101	30	the	the	DET
cord-102966-7vdz661d	101	31	stability	stability	NOUN
cord-102966-7vdz661d	101	32	upper	upper	ADV
cord-102966-7vdz661d	101	33	bound	bind	VERB
cord-102966-7vdz661d	101	34	1/	1/	NUM
cord-102966-7vdz661d	101	35	(	(	PUNCT
cord-102966-7vdz661d	101	36	)	)	PUNCT
cord-102966-7vdz661d	101	37	for	for	ADP
cord-102966-7vdz661d	101	38	the	the	DET
cord-102966-7vdz661d	101	39	dsir	dsir	NOUN
cord-102966-7vdz661d	101	40	model	model	NOUN
cord-102966-7vdz661d	101	41	in	in	ADP
cord-102966-7vdz661d	101	42	the	the	DET
cord-102966-7vdz661d	101	43	above	above	ADJ
cord-102966-7vdz661d	101	44	eqn	eqn	NOUN
cord-102966-7vdz661d	101	45	.	.	PUNCT
cord-102966-7vdz661d	102	1	(	(	PUNCT
cord-102966-7vdz661d	102	2	17	17	NUM
cord-102966-7vdz661d	102	3	)	)	PUNCT
cord-102966-7vdz661d	102	4	coincides	coincide	VERB
cord-102966-7vdz661d	102	5	with	with	ADP
cord-102966-7vdz661d	102	6	the	the	DET
cord-102966-7vdz661d	102	7	well	well	ADV
cord-102966-7vdz661d	102	8	known	know	VERB
cord-102966-7vdz661d	102	9	bound	bind	VERB
cord-102966-7vdz661d	102	10	/	/	SYM
cord-102966-7vdz661d	102	11	=	=	SYM
cord-102966-7vdz661d	102	12	1/	1/	NUM
cord-102966-7vdz661d	102	13	0	0	NUM
cord-102966-7vdz661d	102	14	dictated	dictate	VERB
cord-102966-7vdz661d	102	15	by	by	ADP
cord-102966-7vdz661d	102	16	the	the	DET
cord-102966-7vdz661d	102	17	sir	sir	PROPN
cord-102966-7vdz661d	102	18	model	model	NOUN
cord-102966-7vdz661d	102	19	under	under	ADP
cord-102966-7vdz661d	102	20	the	the	DET
cord-102966-7vdz661d	102	21	widely	widely	ADV
cord-102966-7vdz661d	102	22	used	use	VERB
cord-102966-7vdz661d	102	23	correspondence	correspondence	NOUN
cord-102966-7vdz661d	102	24	the	the	DET
cord-102966-7vdz661d	102	25	same	same	ADJ
cord-102966-7vdz661d	102	26	stability	stability	NOUN
cord-102966-7vdz661d	102	27	bound	bind	VERB
cord-102966-7vdz661d	102	28	can	can	AUX
cord-102966-7vdz661d	102	29	be	be	AUX
cord-102966-7vdz661d	102	30	derived	derive	VERB
cord-102966-7vdz661d	102	31	for	for	ADP
cord-102966-7vdz661d	102	32	the	the	DET
cord-102966-7vdz661d	102	33	padé	padé	PROPN
cord-102966-7vdz661d	102	34	sir	sir	PROPN
cord-102966-7vdz661d	102	35	model	model	NOUN
cord-102966-7vdz661d	102	36	structure	structure	NOUN
cord-102966-7vdz661d	102	37	using	use	VERB
cord-102966-7vdz661d	102	38	standard	standard	ADJ
cord-102966-7vdz661d	102	39	ode	ode	NOUN
cord-102966-7vdz661d	102	40	analysis	analysis	NOUN
cord-102966-7vdz661d	102	41	based	base	VERB
cord-102966-7vdz661d	102	42	on	on	ADP
cord-102966-7vdz661d	102	43	linearization	linearization	NOUN
cord-102966-7vdz661d	102	44	around	around	ADP
cord-102966-7vdz661d	102	45	an	an	DET
cord-102966-7vdz661d	102	46	equilibrium	equilibrium	NOUN
cord-102966-7vdz661d	102	47	point	point	NOUN
cord-102966-7vdz661d	102	48	.	.	PUNCT
cord-102966-7vdz661d	103	1	accepting	accept	VERB
cord-102966-7vdz661d	103	2	for	for	ADP
cord-102966-7vdz661d	103	3	now	now	ADV
cord-102966-7vdz661d	103	4	without	without	ADP
cord-102966-7vdz661d	103	5	proof	proof	NOUN
cord-102966-7vdz661d	103	6	the	the	DET
cord-102966-7vdz661d	103	7	global	global	ADJ
cord-102966-7vdz661d	103	8	stability	stability	NOUN
cord-102966-7vdz661d	103	9	of	of	ADP
cord-102966-7vdz661d	103	10	eqn	eqn	PROPN
cord-102966-7vdz661d	103	11	.	.	PUNCT
cord-102966-7vdz661d	104	1	where	where	SCONJ
cord-102966-7vdz661d	104	2	0	0	SYM
cord-102966-7vdz661d	104	3	≝	≝	PROPN
cord-102966-7vdz661d	104	4	and	and	CCONJ
cord-102966-7vdz661d	104	5	is	be	AUX
cord-102966-7vdz661d	104	6	the	the	DET
cord-102966-7vdz661d	104	7	lambert	lambert	NOUN
cord-102966-7vdz661d	104	8	function	function	NOUN
cord-102966-7vdz661d	104	9	14,15	14,15	NUM
cord-102966-7vdz661d	104	10	of	of	ADP
cord-102966-7vdz661d	104	11	order	order	NOUN
cord-102966-7vdz661d	104	12	0	0	NUM
cord-102966-7vdz661d	104	13	.	.	PUNCT
cord-102966-7vdz661d	105	1	the	the	DET
cord-102966-7vdz661d	105	2	standard	standard	ADJ
cord-102966-7vdz661d	105	3	plot	plot	NOUN
cord-102966-7vdz661d	105	4	for	for	ADP
cord-102966-7vdz661d	105	5	∞	∞	NUM
cord-102966-7vdz661d	105	6	,	,	PUNCT
cord-102966-7vdz661d	105	7	equal	equal	ADJ
cord-102966-7vdz661d	105	8	to	to	ADP
cord-102966-7vdz661d	105	9	the	the	DET
cord-102966-7vdz661d	105	10	total	total	ADJ
cord-102966-7vdz661d	105	11	fraction	fraction	NOUN
cord-102966-7vdz661d	105	12	of	of	ADP
cord-102966-7vdz661d	105	13	infected	infect	VERB
cord-102966-7vdz661d	105	14	by	by	ADP
cord-102966-7vdz661d	105	15	the	the	DET
cord-102966-7vdz661d	105	16	end	end	NOUN
cord-102966-7vdz661d	105	17	of	of	ADP
cord-102966-7vdz661d	105	18	an	an	DET
cord-102966-7vdz661d	105	19	epidemic	epidemic	NOUN
cord-102966-7vdz661d	105	20	,	,	PUNCT
cord-102966-7vdz661d	105	21	2	2	NUM
cord-102966-7vdz661d	105	22	is	be	AUX
cord-102966-7vdz661d	105	23	shown	show	VERB
cord-102966-7vdz661d	105	24	in	in	ADP
cord-102966-7vdz661d	105	25	figure	figure	NOUN
cord-102966-7vdz661d	105	26	10	10	NUM
cord-102966-7vdz661d	105	27	for	for	ADP
cord-102966-7vdz661d	105	28	completeness	completeness	NOUN
cord-102966-7vdz661d	105	29	.	.	PUNCT
cord-102966-7vdz661d	106	1	note	note	VERB
cord-102966-7vdz661d	106	2	that	that	SCONJ
cord-102966-7vdz661d	106	3	the	the	DET
cord-102966-7vdz661d	106	4	plot	plot	NOUN
cord-102966-7vdz661d	106	5	is	be	AUX
cord-102966-7vdz661d	106	6	valid	valid	ADJ
cord-102966-7vdz661d	106	7	for	for	ADP
cord-102966-7vdz661d	106	8	both	both	PRON
cord-102966-7vdz661d	106	9	sir	sir	NOUN
cord-102966-7vdz661d	106	10	and	and	CCONJ
cord-102966-7vdz661d	106	11	dsir	dsir	NOUN
cord-102966-7vdz661d	106	12	models	model	NOUN
cord-102966-7vdz661d	106	13	,	,	PUNCT
cord-102966-7vdz661d	106	14	with	with	ADP
cord-102966-7vdz661d	106	15	0	0	NUM
cord-102966-7vdz661d	106	16	=	=	NOUN
cord-102966-7vdz661d	106	17	/	/	SYM
cord-102966-7vdz661d	106	18	and	and	CCONJ
cord-102966-7vdz661d	106	19	0	0	NUM
cord-102966-7vdz661d	106	20	=	=	SYM
cord-102966-7vdz661d	106	21	1/	1/	NUM
cord-102966-7vdz661d	106	22	,	,	PUNCT
cord-102966-7vdz661d	106	23	respectively	respectively	ADV
cord-102966-7vdz661d	106	24	.	.	PUNCT
cord-102966-7vdz661d	107	1	interestingly	interestingly	ADV
cord-102966-7vdz661d	107	2	,	,	PUNCT
cord-102966-7vdz661d	107	3	while	while	SCONJ
cord-102966-7vdz661d	107	4	use	use	NOUN
cord-102966-7vdz661d	107	5	of	of	ADP
cord-102966-7vdz661d	107	6	the	the	DET
cord-102966-7vdz661d	107	7	lambert	lambert	NOUN
cord-102966-7vdz661d	107	8	function	function	NOUN
cord-102966-7vdz661d	107	9	to	to	PART
cord-102966-7vdz661d	107	10	solve	solve	VERB
cord-102966-7vdz661d	107	11	problems	problem	NOUN
cord-102966-7vdz661d	107	12	such	such	ADJ
cord-102966-7vdz661d	107	13	as	as	ADP
cord-102966-7vdz661d	107	14	the	the	DET
cord-102966-7vdz661d	107	15	above	above	ADJ
cord-102966-7vdz661d	107	16	was	be	AUX
cord-102966-7vdz661d	107	17	pointed	point	VERB
cord-102966-7vdz661d	107	18	out	out	ADP
cord-102966-7vdz661d	107	19	as	as	ADV
cord-102966-7vdz661d	107	20	early	early	ADV
cord-102966-7vdz661d	107	21	as	as	ADP
cord-102966-7vdz661d	107	22	1996	1996	NUM
cord-102966-7vdz661d	107	23	,	,	PUNCT
cord-102966-7vdz661d	107	24	14	14	NUM
cord-102966-7vdz661d	107	25	it	it	PRON
cord-102966-7vdz661d	107	26	may	may	AUX
cord-102966-7vdz661d	107	27	have	have	AUX
cord-102966-7vdz661d	107	28	escaped	escape	VERB
cord-102966-7vdz661d	107	29	the	the	DET
cord-102966-7vdz661d	107	30	attention	attention	NOUN
cord-102966-7vdz661d	107	31	of	of	ADP
cord-102966-7vdz661d	107	32	most	most	ADJ
cord-102966-7vdz661d	107	33	literature	literature	NOUN
cord-102966-7vdz661d	107	34	in	in	ADP
cord-102966-7vdz661d	107	35	this	this	DET
cord-102966-7vdz661d	107	36	field	field	NOUN
cord-102966-7vdz661d	107	37	.	.	PUNCT
cord-102966-7vdz661d	108	1	2	2	NUM
cord-102966-7vdz661d	108	2	the	the	DET
cord-102966-7vdz661d	108	3	lambert	lambert	NOUN
cord-102966-7vdz661d	108	4	function	function	NOUN
cord-102966-7vdz661d	108	5	in	in	ADP
cord-102966-7vdz661d	108	6	its	its	PRON
cord-102966-7vdz661d	108	7	various	various	ADJ
cord-102966-7vdz661d	108	8	forms	form	NOUN
cord-102966-7vdz661d	108	9	will	will	AUX
cord-102966-7vdz661d	108	10	turn	turn	VERB
cord-102966-7vdz661d	108	11	up	up	ADP
cord-102966-7vdz661d	108	12	in	in	ADP
cord-102966-7vdz661d	108	13	a	a	DET
cord-102966-7vdz661d	108	14	number	number	NOUN
cord-102966-7vdz661d	108	15	of	of	ADP
cord-102966-7vdz661d	108	16	results	result	NOUN
cord-102966-7vdz661d	108	17	below	below	ADV
cord-102966-7vdz661d	108	18	.	.	PUNCT
cord-102966-7vdz661d	109	1	it	it	PRON
cord-102966-7vdz661d	109	2	should	should	AUX
cord-102966-7vdz661d	109	3	also	also	ADV
cord-102966-7vdz661d	109	4	be	be	AUX
cord-102966-7vdz661d	109	5	noted	note	VERB
cord-102966-7vdz661d	109	6	that	that	SCONJ
cord-102966-7vdz661d	109	7	eqns	eqns	PROPN
cord-102966-7vdz661d	109	8	.	.	PUNCT
cord-102966-7vdz661d	110	1	(	(	PUNCT
cord-102966-7vdz661d	110	2	19	19	NUM
cord-102966-7vdz661d	110	3	)	)	PUNCT
cord-102966-7vdz661d	110	4	and	and	CCONJ
cord-102966-7vdz661d	110	5	(	(	PUNCT
cord-102966-7vdz661d	110	6	20	20	NUM
cord-102966-7vdz661d	110	7	)	)	PUNCT
cord-102966-7vdz661d	110	8	are	be	AUX
cord-102966-7vdz661d	110	9	the	the	DET
cord-102966-7vdz661d	110	10	same	same	ADJ
cord-102966-7vdz661d	110	11	for	for	ADP
cord-102966-7vdz661d	110	12	the	the	DET
cord-102966-7vdz661d	110	13	sir	sir	PROPN
cord-102966-7vdz661d	110	14	and	and	CCONJ
cord-102966-7vdz661d	110	15	padé	padé	PROPN
cord-102966-7vdz661d	110	16	sir	sir	PROPN
cord-102966-7vdz661d	110	17	model	model	NOUN
cord-102966-7vdz661d	110	18	(	(	PUNCT
cord-102966-7vdz661d	110	19	appendix	appendix	PROPN
cord-102966-7vdz661d	110	20	c	c	PROPN
cord-102966-7vdz661d	110	21	)	)	PUNCT
cord-102966-7vdz661d	110	22	under	under	ADP
cord-102966-7vdz661d	110	23	the	the	DET
cord-102966-7vdz661d	110	24	correspondence	correspondence	NOUN
cord-102966-7vdz661d	110	25	between	between	ADP
cord-102966-7vdz661d	110	26	and	and	CCONJ
cord-102966-7vdz661d	110	27	in	in	ADP
cord-102966-7vdz661d	110	28	eqn	eqn	PROPN
cord-102966-7vdz661d	110	29	.	.	PUNCT
cord-102966-7vdz661d	111	1	(	(	PUNCT
cord-102966-7vdz661d	111	2	18	18	NUM
cord-102966-7vdz661d	111	3	)	)	PUNCT
cord-102966-7vdz661d	111	4	.	.	PUNCT
cord-102966-7vdz661d	112	1	for	for	ADP
cord-102966-7vdz661d	112	2	the	the	DET
cord-102966-7vdz661d	112	3	initial	initial	ADJ
cord-102966-7vdz661d	112	4	part	part	NOUN
cord-102966-7vdz661d	112	5	of	of	ADP
cord-102966-7vdz661d	112	6	a	a	DET
cord-102966-7vdz661d	112	7	spreading	spread	VERB
cord-102966-7vdz661d	112	8	epidemic	epidemic	NOUN
cord-102966-7vdz661d	112	9	,	,	PUNCT
cord-102966-7vdz661d	112	10	starting	start	VERB
cord-102966-7vdz661d	112	11	from	from	ADP
cord-102966-7vdz661d	112	12	a	a	DET
cord-102966-7vdz661d	112	13	perturbation	perturbation	NOUN
cord-102966-7vdz661d	112	14	of	of	ADP
cord-102966-7vdz661d	112	15	the	the	DET
cord-102966-7vdz661d	112	16	steady	steady	ADJ
cord-102966-7vdz661d	112	17	state	state	NOUN
cord-102966-7vdz661d	112	18	(	(	PUNCT
cord-102966-7vdz661d	112	19	,	,	PUNCT
cord-102966-7vdz661d	112	20	,	,	PUNCT
cord-102966-7vdz661d	112	21	)	)	PUNCT
cord-102966-7vdz661d	112	22	=	=	PROPN
cord-102966-7vdz661d	112	23	(	(	PUNCT
cord-102966-7vdz661d	112	24	̅	̅	NOUN
cord-102966-7vdz661d	112	25	,	,	PUNCT
cord-102966-7vdz661d	112	26	0,1	0,1	NUM
cord-102966-7vdz661d	112	27	−	−	PUNCT
cord-102966-7vdz661d	112	28	̅	̅	NOUN
cord-102966-7vdz661d	112	29	)	)	PUNCT
cord-102966-7vdz661d	112	30	as	as	ADP
cord-102966-7vdz661d	112	31	(	(	PUNCT
cord-102966-7vdz661d	112	32	<	<	X
cord-102966-7vdz661d	112	33	0	0	NUM
cord-102966-7vdz661d	112	34	)	)	PUNCT
cord-102966-7vdz661d	112	35	=	=	NOUN
cord-102966-7vdz661d	112	36	0	0	NUM
cord-102966-7vdz661d	112	37	,	,	PUNCT
cord-102966-7vdz661d	112	38	(	(	PUNCT
cord-102966-7vdz661d	112	39	0	0	X
cord-102966-7vdz661d	112	40	)	)	PUNCT
cord-102966-7vdz661d	112	41	=	=	NOUN
cord-102966-7vdz661d	112	42	,	,	PUNCT
cord-102966-7vdz661d	112	43	̅	̅	NOUN
cord-102966-7vdz661d	112	44	≝	≝	PROPN
cord-102966-7vdz661d	112	45	̅	̅	NOUN
cord-102966-7vdz661d	112	46	0	0	NUM
cord-102966-7vdz661d	112	47	>	>	SYM
cord-102966-7vdz661d	112	48	1	1	NUM
cord-102966-7vdz661d	112	49	it	it	PRON
cord-102966-7vdz661d	112	50	can	can	AUX
cord-102966-7vdz661d	112	51	be	be	AUX
cord-102966-7vdz661d	112	52	shown	show	VERB
cord-102966-7vdz661d	112	53	(	(	PUNCT
cord-102966-7vdz661d	112	54	appendix	appendix	PROPN
cord-102966-7vdz661d	112	55	d	d	PROPN
cord-102966-7vdz661d	112	56	)	)	PUNCT
cord-102966-7vdz661d	112	57	that	that	SCONJ
cord-102966-7vdz661d	112	58	the	the	DET
cord-102966-7vdz661d	112	59	infectious	infectious	ADJ
cord-102966-7vdz661d	112	60	fraction	fraction	NOUN
cord-102966-7vdz661d	112	61	initially	initially	ADV
cord-102966-7vdz661d	112	62	grows	grow	VERB
cord-102966-7vdz661d	112	63	approximately	approximately	ADV
cord-102966-7vdz661d	112	64	at	at	ADP
cord-102966-7vdz661d	112	65	an	an	DET
cord-102966-7vdz661d	112	66	exponential	exponential	ADJ
cord-102966-7vdz661d	112	67	rate	rate	NOUN
cord-102966-7vdz661d	112	68	as	as	ADP
cord-102966-7vdz661d	112	69	.	.	PUNCT
cord-102966-7vdz661d	113	1	cc	cc	X
cord-102966-7vdz661d	113	2	-	-	PUNCT
cord-102966-7vdz661d	113	3	by	by	ADP
cord-102966-7vdz661d	113	4	-	-	PUNCT
cord-102966-7vdz661d	113	5	nc	nc	PROPN
cord-102966-7vdz661d	113	6	-	-	PUNCT
cord-102966-7vdz661d	113	7	nd	nd	PROPN
cord-102966-7vdz661d	113	8	4.0	4.0	NUM
cord-102966-7vdz661d	113	9	international	international	ADJ
cord-102966-7vdz661d	113	10	license	license	NOUN
cord-102966-7vdz661d	113	11	it	it	PRON
cord-102966-7vdz661d	113	12	is	be	AUX
cord-102966-7vdz661d	113	13	made	make	VERB
cord-102966-7vdz661d	113	14	available	available	ADJ
cord-102966-7vdz661d	113	15	under	under	ADP
cord-102966-7vdz661d	113	16	a	a	PRON
cord-102966-7vdz661d	113	17	is	be	AUX
cord-102966-7vdz661d	113	18	the	the	DET
cord-102966-7vdz661d	113	19	author	author	NOUN
cord-102966-7vdz661d	113	20	/	/	SYM
cord-102966-7vdz661d	113	21	funder	funder	NOUN
cord-102966-7vdz661d	113	22	,	,	PUNCT
cord-102966-7vdz661d	113	23	who	who	PRON
cord-102966-7vdz661d	113	24	has	have	AUX
cord-102966-7vdz661d	113	25	granted	grant	VERB
cord-102966-7vdz661d	113	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	113	27	a	a	DET
cord-102966-7vdz661d	113	28	license	license	NOUN
cord-102966-7vdz661d	113	29	to	to	PART
cord-102966-7vdz661d	113	30	display	display	VERB
cord-102966-7vdz661d	113	31	the	the	DET
cord-102966-7vdz661d	113	32	preprint	preprint	NOUN
cord-102966-7vdz661d	113	33	in	in	ADP
cord-102966-7vdz661d	113	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	113	35	.	.	PUNCT
cord-102966-7vdz661d	114	1	the	the	DET
cord-102966-7vdz661d	114	2	copyright	copyright	NOUN
cord-102966-7vdz661d	114	3	holder	holder	NOUN
cord-102966-7vdz661d	114	4	for	for	ADP
cord-102966-7vdz661d	114	5	this	this	DET
cord-102966-7vdz661d	114	6	preprint	preprint	NOUN
cord-102966-7vdz661d	114	7	this	this	DET
cord-102966-7vdz661d	114	8	version	version	NOUN
cord-102966-7vdz661d	114	9	posted	post	VERB
cord-102966-7vdz661d	114	10	may	may	PROPN
cord-102966-7vdz661d	114	11	1	1	NUM
cord-102966-7vdz661d	114	12	,	,	PUNCT
cord-102966-7vdz661d	114	13	2020	2020	NUM
cord-102966-7vdz661d	114	14	.	.	PUNCT
cord-102966-7vdz661d	115	1	where	where	SCONJ
cord-102966-7vdz661d	115	2	δ	δ	X
cord-102966-7vdz661d	115	3	≝	≝	PUNCT
cord-102966-7vdz661d	115	4	−	−	NUM
cord-102966-7vdz661d	115	5	̅	̅	NOUN
cord-102966-7vdz661d	115	6	and	and	CCONJ
cord-102966-7vdz661d	115	7	the	the	DET
cord-102966-7vdz661d	115	8	constants	constant	NOUN
cord-102966-7vdz661d	115	9	,	,	PUNCT
cord-102966-7vdz661d	115	10	are	be	AUX
cord-102966-7vdz661d	115	11	in	in	ADP
cord-102966-7vdz661d	115	12	terms	term	NOUN
cord-102966-7vdz661d	115	13	of	of	ADP
cord-102966-7vdz661d	115	14	0	0	NUM
cord-102966-7vdz661d	115	15	≝	≝	PROPN
cord-102966-7vdz661d	115	16	(	(	PUNCT
cord-102966-7vdz661d	115	17	appendix	appendix	PROPN
cord-102966-7vdz661d	115	18	d	d	NOUN
cord-102966-7vdz661d	115	19	)	)	PUNCT
cord-102966-7vdz661d	115	20	with	with	ADP
cord-102966-7vdz661d	115	21	as	as	SCONJ
cord-102966-7vdz661d	115	22	shown	show	VERB
cord-102966-7vdz661d	115	23	in	in	ADP
cord-102966-7vdz661d	115	24	figure	figure	NOUN
cord-102966-7vdz661d	115	25	11	11	NUM
cord-102966-7vdz661d	115	26	.	.	PUNCT
cord-102966-7vdz661d	116	1	similarly	similarly	ADV
cord-102966-7vdz661d	116	2	,	,	PUNCT
cord-102966-7vdz661d	116	3	the	the	DET
cord-102966-7vdz661d	116	4	initial	initial	ADJ
cord-102966-7vdz661d	116	5	exponential	exponential	ADJ
cord-102966-7vdz661d	116	6	rate	rate	NOUN
cord-102966-7vdz661d	116	7	of	of	ADP
cord-102966-7vdz661d	116	8	the	the	DET
cord-102966-7vdz661d	116	9	padé	padé	PROPN
cord-102966-7vdz661d	116	10	sir	sir	PROPN
cord-102966-7vdz661d	116	11	model	model	NOUN
cord-102966-7vdz661d	116	12	is	be	AUX
cord-102966-7vdz661d	116	13	given	give	VERB
cord-102966-7vdz661d	116	14	by	by	ADP
cord-102966-7vdz661d	116	15	where	where	SCONJ
cord-102966-7vdz661d	116	16	0	0	PROPN
cord-102966-7vdz661d	116	17	=	=	NOUN
cord-102966-7vdz661d	116	18	/	/	SYM
cord-102966-7vdz661d	116	19	,	,	PUNCT
cord-102966-7vdz661d	116	20	and	and	CCONJ
cord-102966-7vdz661d	116	21	for	for	ADP
cord-102966-7vdz661d	116	22	the	the	DET
cord-102966-7vdz661d	116	23	standard	standard	ADJ
cord-102966-7vdz661d	116	24	sir	sir	PROPN
cord-102966-7vdz661d	116	25	model	model	NOUN
cord-102966-7vdz661d	116	26	,	,	PUNCT
cord-102966-7vdz661d	116	27	the	the	DET
cord-102966-7vdz661d	116	28	exponential	exponential	ADJ
cord-102966-7vdz661d	116	29	rate	rate	NOUN
cord-102966-7vdz661d	116	30	is	be	AUX
cord-102966-7vdz661d	116	31	where	where	SCONJ
cord-102966-7vdz661d	116	32	0	0	PROPN
cord-102966-7vdz661d	116	33	=	=	NOUN
cord-102966-7vdz661d	116	34	/	/	PUNCT
cord-102966-7vdz661d	116	35	,	,	PUNCT
cord-102966-7vdz661d	116	36	shown	show	VERB
cord-102966-7vdz661d	116	37	in	in	ADP
cord-102966-7vdz661d	116	38	figure	figure	NOUN
cord-102966-7vdz661d	116	39	11	11	NUM
cord-102966-7vdz661d	116	40	as	as	ADV
cord-102966-7vdz661d	116	41	well	well	ADV
cord-102966-7vdz661d	116	42	.	.	PUNCT
cord-102966-7vdz661d	117	1	this	this	PRON
cord-102966-7vdz661d	117	2	has	have	VERB
cord-102966-7vdz661d	117	3	immediate	immediate	ADJ
cord-102966-7vdz661d	117	4	implications	implication	NOUN
cord-102966-7vdz661d	117	5	for	for	ADP
cord-102966-7vdz661d	117	6	the	the	DET
cord-102966-7vdz661d	117	7	early	early	ADJ
cord-102966-7vdz661d	117	8	rate	rate	NOUN
cord-102966-7vdz661d	117	9	of	of	ADP
cord-102966-7vdz661d	117	10	rise	rise	NOUN
cord-102966-7vdz661d	117	11	of	of	ADP
cord-102966-7vdz661d	117	12	the	the	DET
cord-102966-7vdz661d	117	13	infectious	infectious	ADJ
cord-102966-7vdz661d	117	14	fraction	fraction	NOUN
cord-102966-7vdz661d	117	15	to	to	ADP
cord-102966-7vdz661d	117	16	its	its	PRON
cord-102966-7vdz661d	117	17	peak	peak	NOUN
cord-102966-7vdz661d	117	18	,	,	PUNCT
cord-102966-7vdz661d	117	19	*	*	PUNCT
cord-102966-7vdz661d	117	20	,	,	PUNCT
cord-102966-7vdz661d	117	21	as	as	SCONJ
cord-102966-7vdz661d	117	22	illustrated	illustrate	VERB
cord-102966-7vdz661d	117	23	in	in	ADP
cord-102966-7vdz661d	117	24	figure	figure	NOUN
cord-102966-7vdz661d	117	25	12	12	NUM
cord-102966-7vdz661d	117	26	.	.	PUNCT
cord-102966-7vdz661d	118	1	note	note	VERB
cord-102966-7vdz661d	118	2	that	that	SCONJ
cord-102966-7vdz661d	118	3	while	while	SCONJ
cord-102966-7vdz661d	118	4	the	the	DET
cord-102966-7vdz661d	118	5	initial	initial	ADJ
cord-102966-7vdz661d	118	6	sir	sir	NOUN
cord-102966-7vdz661d	118	7	rate	rate	NOUN
cord-102966-7vdz661d	118	8	is	be	AUX
cord-102966-7vdz661d	118	9	half	half	NOUN
cord-102966-7vdz661d	118	10	of	of	ADP
cord-102966-7vdz661d	118	11	the	the	DET
cord-102966-7vdz661d	118	12	padé	padé	PROPN
cord-102966-7vdz661d	118	13	sir	sir	PROPN
cord-102966-7vdz661d	118	14	rate	rate	NOUN
cord-102966-7vdz661d	118	15	and	and	CCONJ
cord-102966-7vdz661d	118	16	about	about	ADV
cord-102966-7vdz661d	118	17	half	half	NOUN
cord-102966-7vdz661d	118	18	of	of	ADP
cord-102966-7vdz661d	118	19	the	the	DET
cord-102966-7vdz661d	118	20	dsir	dsir	NOUN
cord-102966-7vdz661d	118	21	rate	rate	NOUN
cord-102966-7vdz661d	118	22	,	,	PUNCT
cord-102966-7vdz661d	118	23	all	all	DET
cord-102966-7vdz661d	118	24	three	three	NUM
cord-102966-7vdz661d	118	25	models	model	NOUN
cord-102966-7vdz661d	118	26	eventually	eventually	ADV
cord-102966-7vdz661d	118	27	reach	reach	VERB
cord-102966-7vdz661d	118	28	the	the	DET
cord-102966-7vdz661d	118	29	exact	exact	ADJ
cord-102966-7vdz661d	118	30	same	same	ADJ
cord-102966-7vdz661d	118	31	steady	steady	ADJ
cord-102966-7vdz661d	118	32	-	-	PUNCT
cord-102966-7vdz661d	118	33	state	state	NOUN
cord-102966-7vdz661d	118	34	values	value	NOUN
cord-102966-7vdz661d	118	35	,	,	PUNCT
cord-102966-7vdz661d	118	36	as	as	SCONJ
cord-102966-7vdz661d	118	37	captured	capture	VERB
cord-102966-7vdz661d	118	38	by	by	ADP
cord-102966-7vdz661d	118	39	eqns	eqns	PROPN
cord-102966-7vdz661d	118	40	.	.	PUNCT
cord-102966-7vdz661d	119	1	(	(	PUNCT
cord-102966-7vdz661d	119	2	19	19	NUM
cord-102966-7vdz661d	119	3	)	)	PUNCT
cord-102966-7vdz661d	119	4	and	and	CCONJ
cord-102966-7vdz661d	119	5	(	(	PUNCT
cord-102966-7vdz661d	119	6	20	20	NUM
cord-102966-7vdz661d	119	7	)	)	PUNCT
cord-102966-7vdz661d	119	8	.	.	PUNCT
cord-102966-7vdz661d	120	1	while	while	SCONJ
cord-102966-7vdz661d	120	2	it	it	PRON
cord-102966-7vdz661d	120	3	is	be	AUX
cord-102966-7vdz661d	120	4	not	not	PART
cord-102966-7vdz661d	120	5	obvious	obvious	ADJ
cord-102966-7vdz661d	120	6	to	to	ADP
cord-102966-7vdz661d	120	7	the	the	DET
cord-102966-7vdz661d	120	8	author	author	NOUN
cord-102966-7vdz661d	120	9	whether	whether	SCONJ
cord-102966-7vdz661d	120	10	the	the	DET
cord-102966-7vdz661d	120	11	peak	peak	NOUN
cord-102966-7vdz661d	120	12	*	*	PUNCT
cord-102966-7vdz661d	120	13	can	can	AUX
cord-102966-7vdz661d	120	14	be	be	AUX
cord-102966-7vdz661d	120	15	easily	easily	ADV
cord-102966-7vdz661d	120	16	obtained	obtain	VERB
cord-102966-7vdz661d	120	17	for	for	ADP
cord-102966-7vdz661d	120	18	the	the	DET
cord-102966-7vdz661d	120	19	dsir	dsir	PROPN
cord-102966-7vdz661d	120	20	model	model	NOUN
cord-102966-7vdz661d	120	21	,	,	PUNCT
cord-102966-7vdz661d	120	22	a	a	DET
cord-102966-7vdz661d	120	23	good	good	ADJ
cord-102966-7vdz661d	120	24	approximation	approximation	NOUN
cord-102966-7vdz661d	120	25	can	can	AUX
cord-102966-7vdz661d	120	26	be	be	AUX
cord-102966-7vdz661d	120	27	obtained	obtain	VERB
cord-102966-7vdz661d	120	28	(	(	PUNCT
cord-102966-7vdz661d	120	29	appendix	appendix	PROPN
cord-102966-7vdz661d	120	30	e	e	NOUN
cord-102966-7vdz661d	120	31	)	)	PUNCT
cord-102966-7vdz661d	120	32	through	through	ADP
cord-102966-7vdz661d	120	33	the	the	DET
cord-102966-7vdz661d	120	34	padé	padé	PROPN
cord-102966-7vdz661d	120	35	sir	sir	PROPN
cord-102966-7vdz661d	120	36	model	model	NOUN
cord-102966-7vdz661d	120	37	,	,	PUNCT
cord-102966-7vdz661d	120	38	as	as	ADP
cord-102966-7vdz661d	120	39	*	*	PROPN
cord-102966-7vdz661d	120	40	=	=	NOUN
cord-102966-7vdz661d	120	41	1	1	NUM
cord-102966-7vdz661d	120	42	,	,	PUNCT
cord-102966-7vdz661d	120	43	*	*	NOUN
cord-102966-7vdz661d	120	44	=	=	NOUN
cord-102966-7vdz661d	120	45	2	2	NUM
cord-102966-7vdz661d	120	46	�	�	PUNCT
cord-102966-7vdz661d	120	47	−1	−1	X
cord-102966-7vdz661d	120	48	ln	ln	X
cord-102966-7vdz661d	120	49	(	(	PUNCT
cord-102966-7vdz661d	120	50	)	)	PUNCT
cord-102966-7vdz661d	120	51	−	−	PROPN
cord-102966-7vdz661d	120	52	1	1	NUM
cord-102966-7vdz661d	120	53	+	+	NUM
cord-102966-7vdz661d	120	54	1	1	NUM
cord-102966-7vdz661d	120	55	�	�	VERB
cord-102966-7vdz661d	120	56	(	(	PUNCT
cord-102966-7vdz661d	120	57	25	25	NUM
cord-102966-7vdz661d	120	58	)	)	PUNCT
cord-102966-7vdz661d	120	59	note	note	VERB
cord-102966-7vdz661d	120	60	that	that	SCONJ
cord-102966-7vdz661d	120	61	the	the	DET
cord-102966-7vdz661d	120	62	above	above	ADJ
cord-102966-7vdz661d	120	63	*	*	PUNCT
cord-102966-7vdz661d	120	64	,	,	PUNCT
cord-102966-7vdz661d	120	65	exact	exact	ADJ
cord-102966-7vdz661d	120	66	for	for	ADP
cord-102966-7vdz661d	120	67	the	the	DET
cord-102966-7vdz661d	120	68	first	first	ADJ
cord-102966-7vdz661d	120	69	-	-	PUNCT
cord-102966-7vdz661d	120	70	order	order	NOUN
cord-102966-7vdz661d	120	71	padé	padé	PROPN
cord-102966-7vdz661d	120	72	sir	sir	PROPN
cord-102966-7vdz661d	120	73	model	model	NOUN
cord-102966-7vdz661d	120	74	and	and	CCONJ
cord-102966-7vdz661d	120	75	approximate	approximate	ADJ
cord-102966-7vdz661d	120	76	for	for	ADP
cord-102966-7vdz661d	120	77	the	the	DET
cord-102966-7vdz661d	120	78	second	second	ADJ
cord-102966-7vdz661d	120	79	-	-	PUNCT
cord-102966-7vdz661d	120	80	order	order	NOUN
cord-102966-7vdz661d	120	81	padé	padé	NOUN
cord-102966-7vdz661d	120	82	sir	sir	PROPN
cord-102966-7vdz661d	120	83	and	and	CCONJ
cord-102966-7vdz661d	120	84	dsir	dsir	NOUN
cord-102966-7vdz661d	120	85	models	model	NOUN
cord-102966-7vdz661d	120	86	,	,	PUNCT
cord-102966-7vdz661d	120	87	is	be	AUX
cord-102966-7vdz661d	120	88	double	double	DET
cord-102966-7vdz661d	120	89	the	the	DET
cord-102966-7vdz661d	120	90	*	*	NOUN
cord-102966-7vdz661d	120	91	of	of	ADP
cord-102966-7vdz661d	120	92	the	the	DET
cord-102966-7vdz661d	120	93	standard	standard	ADJ
cord-102966-7vdz661d	120	94	sir	sir	PROPN
cord-102966-7vdz661d	120	95	model	model	NOUN
cord-102966-7vdz661d	120	96	,	,	PUNCT
cord-102966-7vdz661d	120	97	as	as	SCONJ
cord-102966-7vdz661d	120	98	confirmed	confirm	VERB
cord-102966-7vdz661d	120	99	in	in	ADP
cord-102966-7vdz661d	120	100	figure	figure	NOUN
cord-102966-7vdz661d	120	101	8	8	NUM
cord-102966-7vdz661d	120	102	.	.	PUNCT
cord-102966-7vdz661d	121	1	once	once	ADV
cord-102966-7vdz661d	121	2	more	more	ADJ
cord-102966-7vdz661d	121	3	,	,	PUNCT
cord-102966-7vdz661d	121	4	there	there	PRON
cord-102966-7vdz661d	121	5	are	be	VERB
cord-102966-7vdz661d	121	6	obvious	obvious	ADJ
cord-102966-7vdz661d	121	7	practical	practical	ADJ
cord-102966-7vdz661d	121	8	implications	implication	NOUN
cord-102966-7vdz661d	121	9	from	from	ADP
cord-102966-7vdz661d	121	10	this	this	DET
cord-102966-7vdz661d	121	11	discrepancy	discrepancy	NOUN
cord-102966-7vdz661d	121	12	.	.	PUNCT
cord-102966-7vdz661d	122	1	note	note	VERB
cord-102966-7vdz661d	122	2	also	also	ADV
cord-102966-7vdz661d	122	3	that	that	SCONJ
cord-102966-7vdz661d	122	4	in	in	ADP
cord-102966-7vdz661d	122	5	case	case	NOUN
cord-102966-7vdz661d	122	6	an	an	DET
cord-102966-7vdz661d	122	7	upper	upper	ADJ
cord-102966-7vdz661d	122	8	bound	bind	VERB
cord-102966-7vdz661d	122	9	is	be	AUX
cord-102966-7vdz661d	122	10	placed	place	VERB
cord-102966-7vdz661d	122	11	on	on	ADP
cord-102966-7vdz661d	122	12	*	*	INTJ
cord-102966-7vdz661d	122	13	,	,	PUNCT
cord-102966-7vdz661d	122	14	to	to	PART
cord-102966-7vdz661d	122	15	avoid	avoid	VERB
cord-102966-7vdz661d	122	16	overwhelming	overwhelming	ADJ
cord-102966-7vdz661d	122	17	hospitalization	hospitalization	NOUN
cord-102966-7vdz661d	122	18	facilities	facility	NOUN
cord-102966-7vdz661d	122	19	during	during	ADP
cord-102966-7vdz661d	122	20	an	an	DET
cord-102966-7vdz661d	122	21	epidemic	epidemic	NOUN
cord-102966-7vdz661d	122	22	,	,	PUNCT
cord-102966-7vdz661d	122	23	eqn	eqn	NOUN
cord-102966-7vdz661d	122	24	.	.	PUNCT
cord-102966-7vdz661d	123	1	(	(	PUNCT
cord-102966-7vdz661d	123	2	25	25	NUM
cord-102966-7vdz661d	123	3	)	)	PUNCT
cord-102966-7vdz661d	123	4	has	have	VERB
cord-102966-7vdz661d	123	5	an	an	DET
cord-102966-7vdz661d	123	6	explicit	explicit	ADJ
cord-102966-7vdz661d	123	7	solution	solution	NOUN
cord-102966-7vdz661d	123	8	for	for	ADP
cord-102966-7vdz661d	123	9	the	the	DET
cord-102966-7vdz661d	123	10	corresponding	corresponding	ADJ
cord-102966-7vdz661d	123	11	maximum	maximum	NOUN
cord-102966-7vdz661d	123	12	0	0	NUM
cord-102966-7vdz661d	123	13	≝	≝	PROPN
cord-102966-7vdz661d	123	14	as	as	ADP
cord-102966-7vdz661d	123	15	for	for	ADP
cord-102966-7vdz661d	123	16	comparison	comparison	NOUN
cord-102966-7vdz661d	123	17	,	,	PUNCT
cord-102966-7vdz661d	123	18	the	the	DET
cord-102966-7vdz661d	123	19	standard	standard	ADJ
cord-102966-7vdz661d	123	20	sir	sir	PROPN
cord-102966-7vdz661d	123	21	model	model	NOUN
cord-102966-7vdz661d	123	22	yields	yield	VERB
cord-102966-7vdz661d	123	23	the	the	DET
cord-102966-7vdz661d	123	24	values	value	NOUN
cord-102966-7vdz661d	123	25	of	of	ADP
cord-102966-7vdz661d	123	26	0	0	NUM
cord-102966-7vdz661d	123	27	indicated	indicate	VERB
cord-102966-7vdz661d	123	28	by	by	ADP
cord-102966-7vdz661d	123	29	eqns	eqns	PROPN
cord-102966-7vdz661d	123	30	.	.	PUNCT
cord-102966-7vdz661d	124	1	(	(	PUNCT
cord-102966-7vdz661d	124	2	26	26	NUM
cord-102966-7vdz661d	124	3	)	)	PUNCT
cord-102966-7vdz661d	124	4	and	and	CCONJ
cord-102966-7vdz661d	124	5	(	(	PUNCT
cord-102966-7vdz661d	124	6	27	27	NUM
cord-102966-7vdz661d	124	7	)	)	PUNCT
cord-102966-7vdz661d	124	8	,	,	PUNCT
cord-102966-7vdz661d	124	9	with	with	ADP
cord-102966-7vdz661d	124	10	corresponding	corresponding	ADJ
cord-102966-7vdz661d	124	11	definitions	definition	NOUN
cord-102966-7vdz661d	124	12	,	,	PUNCT
cord-102966-7vdz661d	124	13	are	be	AUX
cord-102966-7vdz661d	124	14	shown	show	VERB
cord-102966-7vdz661d	124	15	in	in	ADP
cord-102966-7vdz661d	124	16	figure	figure	NOUN
cord-102966-7vdz661d	124	17	13	13	NUM
cord-102966-7vdz661d	124	18	.	.	PUNCT
cord-102966-7vdz661d	125	1	it	it	PRON
cord-102966-7vdz661d	125	2	is	be	AUX
cord-102966-7vdz661d	125	3	evident	evident	ADJ
cord-102966-7vdz661d	125	4	that	that	SCONJ
cord-102966-7vdz661d	125	5	the	the	DET
cord-102966-7vdz661d	125	6	padé	padé	PROPN
cord-102966-7vdz661d	125	7	sir	sir	PROPN
cord-102966-7vdz661d	125	8	model	model	NOUN
cord-102966-7vdz661d	125	9	places	place	VERB
cord-102966-7vdz661d	125	10	twice	twice	ADV
cord-102966-7vdz661d	125	11	as	as	ADV
cord-102966-7vdz661d	125	12	tight	tight	ADJ
cord-102966-7vdz661d	125	13	a	a	DET
cord-102966-7vdz661d	125	14	restriction	restriction	NOUN
cord-102966-7vdz661d	125	15	on	on	ADP
cord-102966-7vdz661d	125	16	0	0	NUM
cord-102966-7vdz661d	125	17	as	as	ADP
cord-102966-7vdz661d	125	18	the	the	DET
cord-102966-7vdz661d	125	19	standard	standard	ADJ
cord-102966-7vdz661d	125	20	sir	sir	PROPN
cord-102966-7vdz661d	125	21	model	model	NOUN
cord-102966-7vdz661d	125	22	,	,	PUNCT
cord-102966-7vdz661d	125	23	if	if	SCONJ
cord-102966-7vdz661d	125	24	is	be	AUX
cord-102966-7vdz661d	125	25	not	not	PART
cord-102966-7vdz661d	125	26	to	to	PART
cord-102966-7vdz661d	125	27	exceed	exceed	VERB
cord-102966-7vdz661d	125	28	the	the	DET
cord-102966-7vdz661d	125	29	*	*	ADJ
cord-102966-7vdz661d	125	30	value	value	NOUN
cord-102966-7vdz661d	125	31	.	.	PUNCT
cord-102966-7vdz661d	126	1	the	the	DET
cord-102966-7vdz661d	126	2	dsir	dsir	PROPN
cord-102966-7vdz661d	126	3	model	model	NOUN
cord-102966-7vdz661d	126	4	structure	structure	NOUN
cord-102966-7vdz661d	126	5	developed	develop	VERB
cord-102966-7vdz661d	126	6	in	in	ADP
cord-102966-7vdz661d	126	7	figure	figure	NOUN
cord-102966-7vdz661d	126	8	3	3	NUM
cord-102966-7vdz661d	126	9	can	can	AUX
cord-102966-7vdz661d	126	10	be	be	AUX
cord-102966-7vdz661d	126	11	easily	easily	ADV
cord-102966-7vdz661d	126	12	extended	extend	VERB
cord-102966-7vdz661d	126	13	to	to	PART
cord-102966-7vdz661d	126	14	include	include	VERB
cord-102966-7vdz661d	126	15	additional	additional	ADJ
cord-102966-7vdz661d	126	16	compartments	compartment	NOUN
cord-102966-7vdz661d	126	17	.	.	PUNCT
cord-102966-7vdz661d	127	1	in	in	ADP
cord-102966-7vdz661d	127	2	fact	fact	NOUN
cord-102966-7vdz661d	127	3	,	,	PUNCT
cord-102966-7vdz661d	127	4	practically	practically	ADV
cord-102966-7vdz661d	127	5	all	all	PRON
cord-102966-7vdz661d	127	6	population	population	NOUN
cord-102966-7vdz661d	127	7	models	model	NOUN
cord-102966-7vdz661d	127	8	of	of	ADP
cord-102966-7vdz661d	127	9	infections	infection	NOUN
cord-102966-7vdz661d	127	10	developed	develop	VERB
cord-102966-7vdz661d	127	11	to	to	ADP
cord-102966-7vdz661d	127	12	date	date	NOUN
cord-102966-7vdz661d	127	13	using	use	VERB
cord-102966-7vdz661d	127	14	the	the	DET
cord-102966-7vdz661d	127	15	concept	concept	NOUN
cord-102966-7vdz661d	127	16	of	of	ADP
cord-102966-7vdz661d	127	17	exchange	exchange	NOUN
cord-102966-7vdz661d	127	18	between	between	ADP
cord-102966-7vdz661d	127	19	compartments	compartment	NOUN
cord-102966-7vdz661d	127	20	3	3	NUM
cord-102966-7vdz661d	127	21	can	can	AUX
cord-102966-7vdz661d	127	22	be	be	AUX
cord-102966-7vdz661d	127	23	immediately	immediately	ADV
cord-102966-7vdz661d	127	24	translated	translate	VERB
cord-102966-7vdz661d	127	25	(	(	PUNCT
cord-102966-7vdz661d	127	26	a	a	PRON
cord-102966-7vdz661d	127	27	)	)	PUNCT
cord-102966-7vdz661d	127	28	from	from	ADP
cord-102966-7vdz661d	127	29	odes	ode	NOUN
cord-102966-7vdz661d	127	30	to	to	ADP
cord-102966-7vdz661d	127	31	ddes	dde	NOUN
cord-102966-7vdz661d	127	32	through	through	ADP
cord-102966-7vdz661d	127	33	replacement	replacement	NOUN
cord-102966-7vdz661d	127	34	of	of	ADP
cord-102966-7vdz661d	127	35	compartment	compartment	NOUN
cord-102966-7vdz661d	127	36	drain	drain	NOUN
cord-102966-7vdz661d	127	37	rates	rate	NOUN
cord-102966-7vdz661d	127	38	proportional	proportional	ADJ
cord-102966-7vdz661d	127	39	to	to	ADP
cord-102966-7vdz661d	127	40	the	the	DET
cord-102966-7vdz661d	127	41	drained	drain	VERB
cord-102966-7vdz661d	127	42	quantity	quantity	NOUN
cord-102966-7vdz661d	127	43	by	by	ADP
cord-102966-7vdz661d	127	44	drainage	drainage	NOUN
cord-102966-7vdz661d	127	45	of	of	ADP
cord-102966-7vdz661d	127	46	amounts	amount	NOUN
cord-102966-7vdz661d	127	47	that	that	PRON
cord-102966-7vdz661d	127	48	have	have	AUX
cord-102966-7vdz661d	127	49	resided	reside	VERB
cord-102966-7vdz661d	127	50	for	for	ADP
cord-102966-7vdz661d	127	51	a	a	DET
cord-102966-7vdz661d	127	52	certain	certain	ADJ
cord-102966-7vdz661d	127	53	time	time	NOUN
cord-102966-7vdz661d	127	54	,	,	PUNCT
cord-102966-7vdz661d	127	55	,	,	PUNCT
cord-102966-7vdz661d	127	56	in	in	ADP
cord-102966-7vdz661d	127	57	that	that	DET
cord-102966-7vdz661d	127	58	compartment	compartment	NOUN
cord-102966-7vdz661d	127	59	,	,	PUNCT
cord-102966-7vdz661d	127	60	or	or	CCONJ
cord-102966-7vdz661d	127	61	(	(	PUNCT
cord-102966-7vdz661d	127	62	b	b	NOUN
cord-102966-7vdz661d	127	63	)	)	PUNCT
cord-102966-7vdz661d	127	64	from	from	ADP
cord-102966-7vdz661d	127	65	odes	ode	NOUN
cord-102966-7vdz661d	127	66	to	to	ADP
cord-102966-7vdz661d	127	67	padé	padé	NOUN
cord-102966-7vdz661d	127	68	approximations	approximation	NOUN
cord-102966-7vdz661d	127	69	that	that	PRON
cord-102966-7vdz661d	127	70	maintain	maintain	VERB
cord-102966-7vdz661d	127	71	the	the	DET
cord-102966-7vdz661d	127	72	ode	ode	NOUN
cord-102966-7vdz661d	127	73	structure	structure	NOUN
cord-102966-7vdz661d	127	74	but	but	CCONJ
cord-102966-7vdz661d	127	75	are	be	AUX
cord-102966-7vdz661d	127	76	more	more	ADV
cord-102966-7vdz661d	127	77	realistic	realistic	ADJ
cord-102966-7vdz661d	127	78	.	.	PUNCT
cord-102966-7vdz661d	128	1	we	we	PRON
cord-102966-7vdz661d	128	2	illustrate	illustrate	VERB
cord-102966-7vdz661d	128	3	these	these	DET
cord-102966-7vdz661d	128	4	ideas	idea	NOUN
cord-102966-7vdz661d	128	5	on	on	ADP
cord-102966-7vdz661d	128	6	.	.	PUNCT
cord-102966-7vdz661d	129	1	cc	cc	X
cord-102966-7vdz661d	129	2	-	-	PUNCT
cord-102966-7vdz661d	129	3	by	by	ADP
cord-102966-7vdz661d	129	4	-	-	PUNCT
cord-102966-7vdz661d	129	5	nc	nc	PROPN
cord-102966-7vdz661d	129	6	-	-	PUNCT
cord-102966-7vdz661d	129	7	nd	nd	PROPN
cord-102966-7vdz661d	129	8	4.0	4.0	NUM
cord-102966-7vdz661d	129	9	international	international	ADJ
cord-102966-7vdz661d	129	10	license	license	NOUN
cord-102966-7vdz661d	129	11	it	it	PRON
cord-102966-7vdz661d	129	12	is	be	AUX
cord-102966-7vdz661d	129	13	made	make	VERB
cord-102966-7vdz661d	129	14	available	available	ADJ
cord-102966-7vdz661d	129	15	under	under	ADP
cord-102966-7vdz661d	129	16	a	a	PRON
cord-102966-7vdz661d	129	17	is	be	AUX
cord-102966-7vdz661d	129	18	the	the	DET
cord-102966-7vdz661d	129	19	author	author	NOUN
cord-102966-7vdz661d	129	20	/	/	SYM
cord-102966-7vdz661d	129	21	funder	funder	NOUN
cord-102966-7vdz661d	129	22	,	,	PUNCT
cord-102966-7vdz661d	129	23	who	who	PRON
cord-102966-7vdz661d	129	24	has	have	AUX
cord-102966-7vdz661d	129	25	granted	grant	VERB
cord-102966-7vdz661d	129	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	129	27	a	a	DET
cord-102966-7vdz661d	129	28	license	license	NOUN
cord-102966-7vdz661d	129	29	to	to	PART
cord-102966-7vdz661d	129	30	display	display	VERB
cord-102966-7vdz661d	129	31	the	the	DET
cord-102966-7vdz661d	129	32	preprint	preprint	NOUN
cord-102966-7vdz661d	129	33	in	in	ADP
cord-102966-7vdz661d	129	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	129	35	.	.	PUNCT
cord-102966-7vdz661d	130	1	the	the	DET
cord-102966-7vdz661d	130	2	copyright	copyright	NOUN
cord-102966-7vdz661d	130	3	holder	holder	NOUN
cord-102966-7vdz661d	130	4	for	for	ADP
cord-102966-7vdz661d	130	5	this	this	DET
cord-102966-7vdz661d	130	6	preprint	preprint	NOUN
cord-102966-7vdz661d	130	7	this	this	DET
cord-102966-7vdz661d	130	8	version	version	NOUN
cord-102966-7vdz661d	130	9	posted	post	VERB
cord-102966-7vdz661d	130	10	may	may	PROPN
cord-102966-7vdz661d	130	11	1	1	NUM
cord-102966-7vdz661d	130	12	,	,	PUNCT
cord-102966-7vdz661d	130	13	2020	2020	NUM
cord-102966-7vdz661d	130	14	.	.	PUNCT
cord-102966-7vdz661d	130	15	.	.	PUNCT
cord-102966-7vdz661d	131	1	https://doi.org/10.1101/2020.04.26.20080960	https://doi.org/10.1101/2020.04.26.20080960	PROPN
cord-102966-7vdz661d	131	2	doi	doi	PROPN
cord-102966-7vdz661d	131	3	:	:	PUNCT
cord-102966-7vdz661d	131	4	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	131	5	preprint	preprint	PROPN
cord-102966-7vdz661d	131	6	medrχiv.org	medrχiv.org	PROPN
cord-102966-7vdz661d	131	7	michael	michael	PROPN
cord-102966-7vdz661d	131	8	nikolaou	nikolaou	VERB
cord-102966-7vdz661d	131	9	the	the	DET
cord-102966-7vdz661d	131	10	spir	spir	NOUN
cord-102966-7vdz661d	131	11	model	model	NOUN
cord-102966-7vdz661d	131	12	structure	structure	NOUN
cord-102966-7vdz661d	131	13	,	,	PUNCT
cord-102966-7vdz661d	131	14	in	in	ADP
cord-102966-7vdz661d	131	15	view	view	NOUN
cord-102966-7vdz661d	131	16	of	of	ADP
cord-102966-7vdz661d	131	17	its	its	PRON
cord-102966-7vdz661d	131	18	importance	importance	NOUN
cord-102966-7vdz661d	131	19	for	for	ADP
cord-102966-7vdz661d	131	20	the	the	DET
cord-102966-7vdz661d	131	21	recent	recent	ADJ
cord-102966-7vdz661d	131	22	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	131	23	epidemic	epidemic	NOUN
cord-102966-7vdz661d	131	24	.	.	PUNCT
cord-102966-7vdz661d	132	1	[	[	X
cord-102966-7vdz661d	132	2	16	16	NUM
cord-102966-7vdz661d	132	3	]	]	PUNCT
cord-102966-7vdz661d	132	4	[	[	X
cord-102966-7vdz661d	132	5	17	17	NUM
cord-102966-7vdz661d	132	6	]	]	PUNCT
cord-102966-7vdz661d	132	7	[	[	X
cord-102966-7vdz661d	132	8	18	18	NUM
cord-102966-7vdz661d	132	9	]	]	PUNCT
cord-102966-7vdz661d	132	10	a	a	DET
cord-102966-7vdz661d	132	11	distinct	distinct	ADJ
cord-102966-7vdz661d	132	12	feature	feature	NOUN
cord-102966-7vdz661d	132	13	of	of	ADP
cord-102966-7vdz661d	132	14	the	the	DET
cord-102966-7vdz661d	132	15	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	132	16	causing	cause	VERB
cord-102966-7vdz661d	132	17	covid-19	covid-19	PROPN
cord-102966-7vdz661d	132	18	is	be	AUX
cord-102966-7vdz661d	132	19	that	that	SCONJ
cord-102966-7vdz661d	132	20	it	it	PRON
cord-102966-7vdz661d	132	21	enables	enable	VERB
cord-102966-7vdz661d	132	22	infection	infection	NOUN
cord-102966-7vdz661d	132	23	transmission	transmission	NOUN
cord-102966-7vdz661d	132	24	at	at	ADP
cord-102966-7vdz661d	132	25	the	the	DET
cord-102966-7vdz661d	132	26	pre	pre	ADJ
cord-102966-7vdz661d	132	27	-	-	ADJ
cord-102966-7vdz661d	132	28	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	132	29	stage	stage	NOUN
cord-102966-7vdz661d	132	30	.	.	PUNCT
cord-102966-7vdz661d	133	1	19	19	NUM
cord-102966-7vdz661d	133	2	therefore	therefore	ADV
cord-102966-7vdz661d	133	3	,	,	PUNCT
cord-102966-7vdz661d	133	4	the	the	DET
cord-102966-7vdz661d	133	5	spir	spir	NOUN
cord-102966-7vdz661d	133	6	model	model	NOUN
cord-102966-7vdz661d	133	7	structure	structure	NOUN
cord-102966-7vdz661d	133	8	(	(	PUNCT
cord-102966-7vdz661d	133	9	figure	figure	NOUN
cord-102966-7vdz661d	133	10	14	14	NUM
cord-102966-7vdz661d	133	11	)	)	PUNCT
cord-102966-7vdz661d	133	12	comprises	comprise	VERB
cord-102966-7vdz661d	133	13	the	the	DET
cord-102966-7vdz661d	133	14	usual	usual	ADJ
cord-102966-7vdz661d	133	15	population	population	NOUN
cord-102966-7vdz661d	133	16	fractions	fraction	NOUN
cord-102966-7vdz661d	133	17	{	{	PUNCT
cord-102966-7vdz661d	133	18	,	,	PUNCT
cord-102966-7vdz661d	133	19	,	,	PUNCT
cord-102966-7vdz661d	133	20	}	}	PUNCT
cord-102966-7vdz661d	133	21	along	along	ADP
cord-102966-7vdz661d	133	22	with	with	ADP
cord-102966-7vdz661d	133	23	the	the	DET
cord-102966-7vdz661d	133	24	pre	pre	ADJ
cord-102966-7vdz661d	133	25	-	-	ADJ
cord-102966-7vdz661d	133	26	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	133	27	infectious	infectious	ADJ
cord-102966-7vdz661d	133	28	fraction	fraction	NOUN
cord-102966-7vdz661d	133	29	,	,	PUNCT
cord-102966-7vdz661d	133	30	,	,	PUNCT
cord-102966-7vdz661d	133	31	with	with	ADP
cord-102966-7vdz661d	133	32	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	133	33	infectious	infectious	ADJ
cord-102966-7vdz661d	133	34	being	being	NOUN
cord-102966-7vdz661d	133	35	.	.	PUNCT
cord-102966-7vdz661d	134	1	spir	spir	NOUN
cord-102966-7vdz661d	134	2	differs	differ	VERB
cord-102966-7vdz661d	134	3	from	from	ADP
cord-102966-7vdz661d	134	4	the	the	DET
cord-102966-7vdz661d	134	5	standard	standard	ADJ
cord-102966-7vdz661d	134	6	seir	seir	NOUN
cord-102966-7vdz661d	134	7	structure	structure	NOUN
cord-102966-7vdz661d	134	8	2,4,5,20	2,4,5,20	NUM
cord-102966-7vdz661d	134	9	by	by	ADP
cord-102966-7vdz661d	134	10	the	the	DET
cord-102966-7vdz661d	134	11	way	way	NOUN
cord-102966-7vdz661d	134	12	the	the	DET
cord-102966-7vdz661d	134	13	four	four	NUM
cord-102966-7vdz661d	134	14	compartments	compartment	NOUN
cord-102966-7vdz661d	134	15	interact	interact	VERB
cord-102966-7vdz661d	134	16	.	.	PUNCT
cord-102966-7vdz661d	135	1	while	while	SCONJ
cord-102966-7vdz661d	135	2	it	it	PRON
cord-102966-7vdz661d	135	3	is	be	AUX
cord-102966-7vdz661d	135	4	formidable	formidable	ADJ
cord-102966-7vdz661d	135	5	to	to	PART
cord-102966-7vdz661d	135	6	practically	practically	ADV
cord-102966-7vdz661d	135	7	monitor	monitor	VERB
cord-102966-7vdz661d	135	8	infections	infection	NOUN
cord-102966-7vdz661d	135	9	on	on	ADP
cord-102966-7vdz661d	135	10	presymptomatic	presymptomatic	ADJ
cord-102966-7vdz661d	135	11	infectious	infectious	ADJ
cord-102966-7vdz661d	135	12	individuals	individual	NOUN
cord-102966-7vdz661d	135	13	,	,	PUNCT
cord-102966-7vdz661d	135	14	monitoring	monitor	VERB
cord-102966-7vdz661d	135	15	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	135	16	infectious	infectious	ADJ
cord-102966-7vdz661d	135	17	is	be	AUX
cord-102966-7vdz661d	135	18	more	more	ADV
cord-102966-7vdz661d	135	19	reasonable	reasonable	ADJ
cord-102966-7vdz661d	135	20	,	,	PUNCT
cord-102966-7vdz661d	135	21	as	as	SCONJ
cord-102966-7vdz661d	135	22	symptoms	symptom	NOUN
cord-102966-7vdz661d	135	23	are	be	AUX
cord-102966-7vdz661d	135	24	clear	clear	ADJ
cord-102966-7vdz661d	135	25	and	and	CCONJ
cord-102966-7vdz661d	135	26	can	can	AUX
cord-102966-7vdz661d	135	27	be	be	AUX
cord-102966-7vdz661d	135	28	confirmed	confirm	VERB
cord-102966-7vdz661d	135	29	by	by	ADP
cord-102966-7vdz661d	135	30	testing	testing	NOUN
cord-102966-7vdz661d	135	31	.	.	PUNCT
cord-102966-7vdz661d	136	1	therefore	therefore	ADV
cord-102966-7vdz661d	136	2	,	,	PUNCT
cord-102966-7vdz661d	136	3	tighter	tight	ADJ
cord-102966-7vdz661d	136	4	restrictions	restriction	NOUN
cord-102966-7vdz661d	136	5	can	can	AUX
cord-102966-7vdz661d	136	6	be	be	AUX
cord-102966-7vdz661d	136	7	placed	place	VERB
cord-102966-7vdz661d	136	8	on	on	ADP
cord-102966-7vdz661d	136	9	the	the	DET
cord-102966-7vdz661d	136	10	i	i	PROPN
cord-102966-7vdz661d	136	11	group	group	NOUN
cord-102966-7vdz661d	136	12	,	,	PUNCT
cord-102966-7vdz661d	136	13	in	in	ADP
cord-102966-7vdz661d	136	14	addition	addition	NOUN
cord-102966-7vdz661d	136	15	to	to	ADP
cord-102966-7vdz661d	136	16	the	the	DET
cord-102966-7vdz661d	136	17	p	p	PROPN
cord-102966-7vdz661d	136	18	group	group	NOUN
cord-102966-7vdz661d	136	19	typically	typically	ADV
cord-102966-7vdz661d	136	20	following	follow	VERB
cord-102966-7vdz661d	136	21	general	general	ADJ
cord-102966-7vdz661d	136	22	restrictions	restriction	NOUN
cord-102966-7vdz661d	136	23	placed	place	VERB
cord-102966-7vdz661d	136	24	on	on	ADP
cord-102966-7vdz661d	136	25	the	the	DET
cord-102966-7vdz661d	136	26	general	general	ADJ
cord-102966-7vdz661d	136	27	population	population	NOUN
cord-102966-7vdz661d	136	28	to	to	PART
cord-102966-7vdz661d	136	29	curb	curb	VERB
cord-102966-7vdz661d	136	30	the	the	DET
cord-102966-7vdz661d	136	31	spread	spread	NOUN
cord-102966-7vdz661d	136	32	of	of	ADP
cord-102966-7vdz661d	136	33	the	the	DET
cord-102966-7vdz661d	136	34	epidemic	epidemic	NOUN
cord-102966-7vdz661d	136	35	,	,	PUNCT
cord-102966-7vdz661d	136	36	as	as	SCONJ
cord-102966-7vdz661d	136	37	captured	capture	VERB
cord-102966-7vdz661d	136	38	by	by	ADP
cord-102966-7vdz661d	136	39	the	the	DET
cord-102966-7vdz661d	136	40	spread	spread	ADJ
cord-102966-7vdz661d	136	41	factors	factor	NOUN
cord-102966-7vdz661d	136	42	and	and	CCONJ
cord-102966-7vdz661d	136	43	,	,	PUNCT
cord-102966-7vdz661d	136	44	respectively	respectively	ADV
cord-102966-7vdz661d	136	45	,	,	PUNCT
cord-102966-7vdz661d	136	46	in	in	ADP
cord-102966-7vdz661d	136	47	figure	figure	NOUN
cord-102966-7vdz661d	136	48	14	14	NUM
cord-102966-7vdz661d	136	49	.	.	PUNCT
cord-102966-7vdz661d	137	1	the	the	DET
cord-102966-7vdz661d	137	2	dynamics	dynamic	NOUN
cord-102966-7vdz661d	137	3	of	of	ADP
cord-102966-7vdz661d	137	4	the	the	DET
cord-102966-7vdz661d	137	5	dspir	dspir	NOUN
cord-102966-7vdz661d	137	6	structure	structure	NOUN
cord-102966-7vdz661d	137	7	is	be	AUX
cord-102966-7vdz661d	137	8	shown	show	VERB
cord-102966-7vdz661d	137	9	in	in	ADP
cord-102966-7vdz661d	137	10	figure	figure	NOUN
cord-102966-7vdz661d	137	11	15	15	NUM
cord-102966-7vdz661d	137	12	,	,	PUNCT
cord-102966-7vdz661d	137	13	which	which	PRON
cord-102966-7vdz661d	137	14	follows	follow	VERB
cord-102966-7vdz661d	137	15	the	the	DET
cord-102966-7vdz661d	137	16	pattern	pattern	NOUN
cord-102966-7vdz661d	137	17	of	of	ADP
cord-102966-7vdz661d	137	18	figure	figure	NOUN
cord-102966-7vdz661d	137	19	3	3	NUM
cord-102966-7vdz661d	137	20	,	,	PUNCT
cord-102966-7vdz661d	137	21	with	with	ADP
cord-102966-7vdz661d	137	22	the	the	DET
cord-102966-7vdz661d	137	23	addition	addition	NOUN
cord-102966-7vdz661d	137	24	of	of	ADP
cord-102966-7vdz661d	137	25	the	the	DET
cord-102966-7vdz661d	137	26	pre	pre	ADJ
cord-102966-7vdz661d	137	27	-	-	ADJ
cord-102966-7vdz661d	137	28	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	137	29	infectious	infectious	ADJ
cord-102966-7vdz661d	137	30	fraction	fraction	NOUN
cord-102966-7vdz661d	137	31	.	.	PUNCT
cord-102966-7vdz661d	138	1	following	follow	VERB
cord-102966-7vdz661d	138	2	the	the	DET
cord-102966-7vdz661d	138	3	same	same	ADJ
cord-102966-7vdz661d	138	4	technique	technique	NOUN
cord-102966-7vdz661d	138	5	as	as	ADP
cord-102966-7vdz661d	138	6	in	in	ADP
cord-102966-7vdz661d	138	7	section	section	NOUN
cord-102966-7vdz661d	138	8	2	2	NUM
cord-102966-7vdz661d	138	9	,	,	PUNCT
cord-102966-7vdz661d	138	10	we	we	PRON
cord-102966-7vdz661d	138	11	can	can	AUX
cord-102966-7vdz661d	138	12	immediately	immediately	ADV
cord-102966-7vdz661d	138	13	write	write	VERB
cord-102966-7vdz661d	138	14	the	the	DET
cord-102966-7vdz661d	138	15	following	follow	VERB
cord-102966-7vdz661d	138	16	equations	equation	NOUN
cord-102966-7vdz661d	138	17	for	for	ADP
cord-102966-7vdz661d	138	18	the	the	DET
cord-102966-7vdz661d	138	19	dspir	dspir	NOUN
cord-102966-7vdz661d	138	20	model	model	NOUN
cord-102966-7vdz661d	138	21	structure	structure	NOUN
cord-102966-7vdz661d	138	22	by	by	ADP
cord-102966-7vdz661d	138	23	visual	visual	ADJ
cord-102966-7vdz661d	138	24	inspection	inspection	NOUN
cord-102966-7vdz661d	138	25	of	of	ADP
cord-102966-7vdz661d	138	26	figure	figure	NOUN
cord-102966-7vdz661d	138	27	15	15	NUM
cord-102966-7vdz661d	138	28	:	:	PUNCT
cord-102966-7vdz661d	138	29	combining	combine	VERB
cord-102966-7vdz661d	138	30	the	the	DET
cord-102966-7vdz661d	138	31	above	above	ADJ
cord-102966-7vdz661d	138	32	equations	equation	NOUN
cord-102966-7vdz661d	138	33	and	and	CCONJ
cord-102966-7vdz661d	138	34	letting	let	VERB
cord-102966-7vdz661d	138	35	→	→	SYM
cord-102966-7vdz661d	138	36	∞	∞	NUM
cord-102966-7vdz661d	138	37	yields	yield	VERB
cord-102966-7vdz661d	138	38	the	the	DET
cord-102966-7vdz661d	138	39	nonlinear	nonlinear	ADJ
cord-102966-7vdz661d	138	40	dde	dde	X
cord-102966-7vdz661d	138	41	and	and	CCONJ
cord-102966-7vdz661d	138	42	associated	associate	VERB
cord-102966-7vdz661d	138	43	delay	delay	NOUN
cord-102966-7vdz661d	138	44	algebraic	algebraic	ADJ
cord-102966-7vdz661d	138	45	equations	equation	NOUN
cord-102966-7vdz661d	138	46	where	where	SCONJ
cord-102966-7vdz661d	138	47	and	and	CCONJ
cord-102966-7vdz661d	138	48	−	−	PROPN
cord-102966-7vdz661d	138	49	are	be	AUX
cord-102966-7vdz661d	138	50	the	the	DET
cord-102966-7vdz661d	138	51	durations	duration	NOUN
cord-102966-7vdz661d	138	52	of	of	ADP
cord-102966-7vdz661d	138	53	an	an	DET
cord-102966-7vdz661d	138	54	individual	individual	NOUN
cord-102966-7vdz661d	138	55	's	's	PART
cord-102966-7vdz661d	138	56	staying	staying	NOUN
cord-102966-7vdz661d	138	57	in	in	ADP
cord-102966-7vdz661d	138	58	the	the	DET
cord-102966-7vdz661d	138	59	p	p	NOUN
cord-102966-7vdz661d	138	60	and	and	CCONJ
cord-102966-7vdz661d	138	61	i	i	PRON
cord-102966-7vdz661d	138	62	compartment	compartment	NOUN
cord-102966-7vdz661d	138	63	,	,	PUNCT
cord-102966-7vdz661d	138	64	respectively	respectively	ADV
cord-102966-7vdz661d	138	65	,	,	PUNCT
cord-102966-7vdz661d	138	66	and	and	CCONJ
cord-102966-7vdz661d	138	67	typically	typically	ADV
cord-102966-7vdz661d	138	68	note	note	VERB
cord-102966-7vdz661d	138	69	that	that	SCONJ
cord-102966-7vdz661d	138	70	the	the	DET
cord-102966-7vdz661d	138	71	form	form	NOUN
cord-102966-7vdz661d	138	72	of	of	ADP
cord-102966-7vdz661d	138	73	the	the	DET
cord-102966-7vdz661d	138	74	spir	spir	NOUN
cord-102966-7vdz661d	138	75	model	model	NOUN
cord-102966-7vdz661d	138	76	following	follow	VERB
cord-102966-7vdz661d	138	77	the	the	DET
cord-102966-7vdz661d	138	78	standard	standard	ADJ
cord-102966-7vdz661d	138	79	sir	sir	NOUN
cord-102966-7vdz661d	138	80	pattern	pattern	NOUN
cord-102966-7vdz661d	138	81	,	,	PUNCT
cord-102966-7vdz661d	138	82	eqns	eqns	PROPN
cord-102966-7vdz661d	138	83	.	.	PUNCT
cord-102966-7vdz661d	139	1	(	(	PUNCT
cord-102966-7vdz661d	139	2	1)(3	1)(3	NOUN
cord-102966-7vdz661d	139	3	)	)	PUNCT
cord-102966-7vdz661d	139	4	,	,	PUNCT
cord-102966-7vdz661d	139	5	is	be	AUX
cord-102966-7vdz661d	139	6	the	the	DET
cord-102966-7vdz661d	139	7	coupled	couple	VERB
cord-102966-7vdz661d	139	8	odes	ode	NOUN
cord-102966-7vdz661d	139	9	21	21	NUM
cord-102966-7vdz661d	139	10	in	in	ADP
cord-102966-7vdz661d	139	11	the	the	DET
cord-102966-7vdz661d	139	12	form	form	NOUN
cord-102966-7vdz661d	139	13	of	of	ADP
cord-102966-7vdz661d	139	14	these	these	DET
cord-102966-7vdz661d	139	15	odes	ode	NOUN
cord-102966-7vdz661d	139	16	is	be	AUX
cord-102966-7vdz661d	139	17	the	the	DET
cord-102966-7vdz661d	139	18	following	follow	VERB
cord-102966-7vdz661d	139	19	more	more	ADV
cord-102966-7vdz661d	139	20	realistic	realistic	ADJ
cord-102966-7vdz661d	139	21	padé	padé	NOUN
cord-102966-7vdz661d	139	22	spir	spir	NOUN
cord-102966-7vdz661d	139	23	model	model	NOUN
cord-102966-7vdz661d	139	24	,	,	PUNCT
cord-102966-7vdz661d	139	25	which	which	PRON
cord-102966-7vdz661d	139	26	approximates	approximate	VERB
cord-102966-7vdz661d	139	27	the	the	DET
cord-102966-7vdz661d	139	28	dspir	dspir	NOUN
cord-102966-7vdz661d	139	29	ddes	dde	NOUN
cord-102966-7vdz661d	139	30	,	,	PUNCT
cord-102966-7vdz661d	139	31	eqns	eqns	PROPN
cord-102966-7vdz661d	139	32	.	.	PUNCT
cord-102966-7vdz661d	140	1	(	(	PUNCT
cord-102966-7vdz661d	140	2	31)-(35	31)-(35	NUM
cord-102966-7vdz661d	140	3	)	)	PUNCT
cord-102966-7vdz661d	140	4	,	,	PUNCT
cord-102966-7vdz661d	140	5	significantly	significantly	ADV
cord-102966-7vdz661d	140	6	better	well	ADJ
cord-102966-7vdz661d	140	7	than	than	ADP
cord-102966-7vdz661d	140	8	the	the	DET
cord-102966-7vdz661d	140	9	sir	sir	PROPN
cord-102966-7vdz661d	140	10	odes	ode	NOUN
cord-102966-7vdz661d	140	11	(	(	PUNCT
cord-102966-7vdz661d	140	12	appendix	appendix	PROPN
cord-102966-7vdz661d	140	13	f	f	PROPN
cord-102966-7vdz661d	140	14	):	):	PUNCT
cord-102966-7vdz661d	140	15	.	.	PUNCT
cord-102966-7vdz661d	141	1	cc	cc	X
cord-102966-7vdz661d	141	2	-	-	PUNCT
cord-102966-7vdz661d	141	3	by	by	ADP
cord-102966-7vdz661d	141	4	-	-	PUNCT
cord-102966-7vdz661d	141	5	nc	nc	PROPN
cord-102966-7vdz661d	141	6	-	-	PUNCT
cord-102966-7vdz661d	141	7	nd	nd	PROPN
cord-102966-7vdz661d	141	8	4.0	4.0	NUM
cord-102966-7vdz661d	141	9	international	international	ADJ
cord-102966-7vdz661d	141	10	license	license	NOUN
cord-102966-7vdz661d	141	11	it	it	PRON
cord-102966-7vdz661d	141	12	is	be	AUX
cord-102966-7vdz661d	141	13	made	make	VERB
cord-102966-7vdz661d	141	14	available	available	ADJ
cord-102966-7vdz661d	141	15	under	under	ADP
cord-102966-7vdz661d	141	16	a	a	PRON
cord-102966-7vdz661d	141	17	is	be	AUX
cord-102966-7vdz661d	141	18	the	the	DET
cord-102966-7vdz661d	141	19	author	author	NOUN
cord-102966-7vdz661d	141	20	/	/	SYM
cord-102966-7vdz661d	141	21	funder	funder	NOUN
cord-102966-7vdz661d	141	22	,	,	PUNCT
cord-102966-7vdz661d	141	23	who	who	PRON
cord-102966-7vdz661d	141	24	has	have	AUX
cord-102966-7vdz661d	141	25	granted	grant	VERB
cord-102966-7vdz661d	141	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	141	27	a	a	DET
cord-102966-7vdz661d	141	28	license	license	NOUN
cord-102966-7vdz661d	141	29	to	to	PART
cord-102966-7vdz661d	141	30	display	display	VERB
cord-102966-7vdz661d	141	31	the	the	DET
cord-102966-7vdz661d	141	32	preprint	preprint	NOUN
cord-102966-7vdz661d	141	33	in	in	ADP
cord-102966-7vdz661d	141	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	141	35	.	.	PUNCT
cord-102966-7vdz661d	142	1	the	the	DET
cord-102966-7vdz661d	142	2	copyright	copyright	NOUN
cord-102966-7vdz661d	142	3	holder	holder	NOUN
cord-102966-7vdz661d	142	4	for	for	ADP
cord-102966-7vdz661d	142	5	this	this	DET
cord-102966-7vdz661d	142	6	preprint	preprint	NOUN
cord-102966-7vdz661d	142	7	this	this	DET
cord-102966-7vdz661d	142	8	version	version	NOUN
cord-102966-7vdz661d	142	9	posted	post	VERB
cord-102966-7vdz661d	142	10	may	may	PROPN
cord-102966-7vdz661d	142	11	1	1	NUM
cord-102966-7vdz661d	142	12	,	,	PUNCT
cord-102966-7vdz661d	142	13	2020	2020	NUM
cord-102966-7vdz661d	142	14	.	.	PUNCT
cord-102966-7vdz661d	143	1	the	the	DET
cord-102966-7vdz661d	143	2	illustration	illustration	NOUN
cord-102966-7vdz661d	143	3	and	and	CCONJ
cord-102966-7vdz661d	143	4	analysis	analysis	NOUN
cord-102966-7vdz661d	143	5	presented	present	VERB
cord-102966-7vdz661d	143	6	in	in	ADP
cord-102966-7vdz661d	143	7	sections	section	NOUN
cord-102966-7vdz661d	143	8	3	3	NUM
cord-102966-7vdz661d	143	9	and	and	CCONJ
cord-102966-7vdz661d	143	10	4	4	NUM
cord-102966-7vdz661d	143	11	can	can	AUX
cord-102966-7vdz661d	143	12	be	be	AUX
cord-102966-7vdz661d	143	13	easily	easily	ADV
cord-102966-7vdz661d	143	14	repeated	repeat	VERB
cord-102966-7vdz661d	143	15	for	for	ADP
cord-102966-7vdz661d	143	16	the	the	DET
cord-102966-7vdz661d	143	17	dspir	dspir	NOUN
cord-102966-7vdz661d	143	18	and	and	CCONJ
cord-102966-7vdz661d	143	19	padé	padé	NOUN
cord-102966-7vdz661d	143	20	spir	spir	NOUN
cord-102966-7vdz661d	143	21	structures	structure	NOUN
cord-102966-7vdz661d	143	22	.	.	PUNCT
cord-102966-7vdz661d	144	1	to	to	PART
cord-102966-7vdz661d	144	2	maintain	maintain	VERB
cord-102966-7vdz661d	144	3	the	the	DET
cord-102966-7vdz661d	144	4	scope	scope	NOUN
cord-102966-7vdz661d	144	5	of	of	ADP
cord-102966-7vdz661d	144	6	this	this	DET
cord-102966-7vdz661d	144	7	publication	publication	NOUN
cord-102966-7vdz661d	144	8	,	,	PUNCT
cord-102966-7vdz661d	144	9	only	only	ADV
cord-102966-7vdz661d	144	10	a	a	DET
cord-102966-7vdz661d	144	11	few	few	ADJ
cord-102966-7vdz661d	144	12	properties	property	NOUN
cord-102966-7vdz661d	144	13	will	will	AUX
cord-102966-7vdz661d	144	14	be	be	AUX
cord-102966-7vdz661d	144	15	explored	explore	VERB
cord-102966-7vdz661d	144	16	below	below	ADP
cord-102966-7vdz661d	144	17	.	.	PUNCT
cord-102966-7vdz661d	145	1	the	the	DET
cord-102966-7vdz661d	145	2	rest	rest	NOUN
cord-102966-7vdz661d	145	3	will	will	AUX
cord-102966-7vdz661d	145	4	be	be	AUX
cord-102966-7vdz661d	145	5	explored	explore	VERB
cord-102966-7vdz661d	145	6	in	in	ADP
cord-102966-7vdz661d	145	7	more	more	ADJ
cord-102966-7vdz661d	145	8	detail	detail	NOUN
cord-102966-7vdz661d	145	9	in	in	ADP
cord-102966-7vdz661d	145	10	forthcoming	forthcoming	ADJ
cord-102966-7vdz661d	145	11	publications	publication	NOUN
cord-102966-7vdz661d	145	12	.	.	PUNCT
cord-102966-7vdz661d	146	1	we	we	PRON
cord-102966-7vdz661d	146	2	present	present	VERB
cord-102966-7vdz661d	146	3	here	here	ADV
cord-102966-7vdz661d	146	4	only	only	ADV
cord-102966-7vdz661d	146	5	a	a	DET
cord-102966-7vdz661d	146	6	few	few	ADJ
cord-102966-7vdz661d	146	7	simulations	simulation	NOUN
cord-102966-7vdz661d	146	8	comparing	compare	VERB
cord-102966-7vdz661d	146	9	the	the	DET
cord-102966-7vdz661d	146	10	{	{	PUNCT
cord-102966-7vdz661d	146	11	,	,	PUNCT
cord-102966-7vdz661d	146	12	,	,	PUNCT
cord-102966-7vdz661d	146	13	,	,	PUNCT
cord-102966-7vdz661d	146	14	}	}	PUNCT
cord-102966-7vdz661d	146	15	profiles	profile	NOUN
cord-102966-7vdz661d	146	16	resulting	result	VERB
cord-102966-7vdz661d	146	17	from	from	ADP
cord-102966-7vdz661d	146	18	numerical	numerical	ADJ
cord-102966-7vdz661d	146	19	solution	solution	NOUN
cord-102966-7vdz661d	146	20	of	of	ADP
cord-102966-7vdz661d	146	21	the	the	DET
cord-102966-7vdz661d	146	22	spir	spir	NOUN
cord-102966-7vdz661d	146	23	,	,	PUNCT
cord-102966-7vdz661d	146	24	dspir	dspir	NOUN
cord-102966-7vdz661d	146	25	,	,	PUNCT
cord-102966-7vdz661d	146	26	and	and	CCONJ
cord-102966-7vdz661d	146	27	padé	padé	PROPN
cord-102966-7vdz661d	146	28	spir	spir	NOUN
cord-102966-7vdz661d	146	29	models	model	NOUN
cord-102966-7vdz661d	146	30	.	.	PUNCT
cord-102966-7vdz661d	147	1	the	the	DET
cord-102966-7vdz661d	147	2	values	value	NOUN
cord-102966-7vdz661d	147	3	are	be	AUX
cord-102966-7vdz661d	147	4	used	use	VERB
cord-102966-7vdz661d	147	5	in	in	ADP
cord-102966-7vdz661d	147	6	all	all	DET
cord-102966-7vdz661d	147	7	simulations	simulation	NOUN
cord-102966-7vdz661d	147	8	.	.	PUNCT
cord-102966-7vdz661d	148	1	8,9	8,9	NUM
cord-102966-7vdz661d	148	2	figure	figure	NOUN
cord-102966-7vdz661d	148	3	16	16	NUM
cord-102966-7vdz661d	148	4	illustrates	illustrate	VERB
cord-102966-7vdz661d	148	5	the	the	DET
cord-102966-7vdz661d	148	6	differences	difference	NOUN
cord-102966-7vdz661d	148	7	in	in	ADP
cord-102966-7vdz661d	148	8	the	the	DET
cord-102966-7vdz661d	148	9	infectious	infectious	ADJ
cord-102966-7vdz661d	148	10	peaks	peak	NOUN
cord-102966-7vdz661d	148	11	,	,	PUNCT
cord-102966-7vdz661d	148	12	*	*	PUNCT
cord-102966-7vdz661d	148	13	and	and	CCONJ
cord-102966-7vdz661d	148	14	*	*	PROPN
cord-102966-7vdz661d	148	15	,	,	PUNCT
cord-102966-7vdz661d	148	16	similar	similar	ADJ
cord-102966-7vdz661d	148	17	to	to	ADP
cord-102966-7vdz661d	148	18	these	these	PRON
cord-102966-7vdz661d	148	19	in	in	ADP
cord-102966-7vdz661d	148	20	figure	figure	NOUN
cord-102966-7vdz661d	148	21	8	8	NUM
cord-102966-7vdz661d	148	22	.	.	PUNCT
cord-102966-7vdz661d	149	1	following	follow	VERB
cord-102966-7vdz661d	149	2	the	the	DET
cord-102966-7vdz661d	149	3	same	same	ADJ
cord-102966-7vdz661d	149	4	approach	approach	NOUN
cord-102966-7vdz661d	149	5	as	as	ADP
cord-102966-7vdz661d	149	6	in	in	ADP
cord-102966-7vdz661d	149	7	section	section	NOUN
cord-102966-7vdz661d	149	8	4.1	4.1	NUM
cord-102966-7vdz661d	149	9	,	,	PUNCT
cord-102966-7vdz661d	149	10	eqn	eqn	NOUN
cord-102966-7vdz661d	149	11	.	.	PUNCT
cord-102966-7vdz661d	150	1	(	(	PUNCT
cord-102966-7vdz661d	150	2	31	31	NUM
cord-102966-7vdz661d	150	3	)	)	PUNCT
cord-102966-7vdz661d	150	4	can	can	AUX
cord-102966-7vdz661d	150	5	be	be	AUX
cord-102966-7vdz661d	150	6	used	use	VERB
cord-102966-7vdz661d	150	7	to	to	PART
cord-102966-7vdz661d	150	8	show	show	VERB
cord-102966-7vdz661d	150	9	(	(	PUNCT
cord-102966-7vdz661d	150	10	appendix	appendix	PROPN
cord-102966-7vdz661d	150	11	g	g	NOUN
cord-102966-7vdz661d	150	12	)	)	PUNCT
cord-102966-7vdz661d	150	13	that	that	SCONJ
cord-102966-7vdz661d	150	14	an	an	DET
cord-102966-7vdz661d	150	15	epidemic	epidemic	NOUN
cord-102966-7vdz661d	150	16	outbreak	outbreak	NOUN
cord-102966-7vdz661d	150	17	does	do	AUX
cord-102966-7vdz661d	150	18	not	not	PART
cord-102966-7vdz661d	150	19	occur	occur	VERB
cord-102966-7vdz661d	150	20	around	around	ADP
cord-102966-7vdz661d	150	21	an	an	DET
cord-102966-7vdz661d	150	22	equilibrium	equilibrium	NOUN
cord-102966-7vdz661d	150	23	point	point	NOUN
cord-102966-7vdz661d	150	24	̅	̅	NOUN
cord-102966-7vdz661d	150	25	iff	iff	VERB
cord-102966-7vdz661d	150	26	the	the	DET
cord-102966-7vdz661d	150	27	proof	proof	NOUN
cord-102966-7vdz661d	150	28	in	in	ADP
cord-102966-7vdz661d	150	29	appendix	appendix	PROPN
cord-102966-7vdz661d	150	30	g	g	PROPN
cord-102966-7vdz661d	150	31	is	be	AUX
cord-102966-7vdz661d	150	32	by	by	ADP
cord-102966-7vdz661d	150	33	approximation	approximation	NOUN
cord-102966-7vdz661d	150	34	.	.	PUNCT
cord-102966-7vdz661d	151	1	it	it	PRON
cord-102966-7vdz661d	151	2	is	be	AUX
cord-102966-7vdz661d	151	3	conjectured	conjecture	VERB
cord-102966-7vdz661d	151	4	that	that	SCONJ
cord-102966-7vdz661d	151	5	the	the	DET
cord-102966-7vdz661d	151	6	bound	bind	VERB
cord-102966-7vdz661d	151	7	in	in	ADP
cord-102966-7vdz661d	151	8	the	the	DET
cord-102966-7vdz661d	151	9	above	above	ADJ
cord-102966-7vdz661d	151	10	equation	equation	NOUN
cord-102966-7vdz661d	151	11	is	be	AUX
cord-102966-7vdz661d	151	12	exact	exact	ADJ
cord-102966-7vdz661d	151	13	.	.	PUNCT
cord-102966-7vdz661d	152	1	this	this	DET
cord-102966-7vdz661d	152	2	conjecture	conjecture	NOUN
cord-102966-7vdz661d	152	3	will	will	AUX
cord-102966-7vdz661d	152	4	be	be	AUX
cord-102966-7vdz661d	152	5	examined	examine	VERB
cord-102966-7vdz661d	152	6	in	in	ADP
cord-102966-7vdz661d	152	7	subsequent	subsequent	ADJ
cord-102966-7vdz661d	152	8	studies	study	NOUN
cord-102966-7vdz661d	152	9	.	.	PUNCT
cord-102966-7vdz661d	153	1	it	it	PRON
cord-102966-7vdz661d	153	2	can	can	AUX
cord-102966-7vdz661d	153	3	be	be	AUX
cord-102966-7vdz661d	153	4	shown	show	VERB
cord-102966-7vdz661d	153	5	(	(	PUNCT
cord-102966-7vdz661d	153	6	appendix	appendix	PROPN
cord-102966-7vdz661d	153	7	h	h	PROPN
cord-102966-7vdz661d	153	8	)	)	PUNCT
cord-102966-7vdz661d	153	9	that	that	SCONJ
cord-102966-7vdz661d	153	10	the	the	DET
cord-102966-7vdz661d	153	11	dspir	dspir	ADJ
cord-102966-7vdz661d	153	12	counterpart	counterpart	NOUN
cord-102966-7vdz661d	153	13	of	of	ADP
cord-102966-7vdz661d	153	14	eqn	eqn	PROPN
cord-102966-7vdz661d	153	15	.	.	PUNCT
cord-102966-7vdz661d	154	1	(	(	PUNCT
cord-102966-7vdz661d	154	2	19	19	NUM
cord-102966-7vdz661d	154	3	)	)	PUNCT
cord-102966-7vdz661d	154	4	is	be	AUX
cord-102966-7vdz661d	154	5	where	where	SCONJ
cord-102966-7vdz661d	154	6	>	>	PROPN
cord-102966-7vdz661d	154	7	and	and	CCONJ
cord-102966-7vdz661d	154	8	the	the	DET
cord-102966-7vdz661d	154	9	counterpart	counterpart	NOUN
cord-102966-7vdz661d	154	10	of	of	ADP
cord-102966-7vdz661d	154	11	the	the	DET
cord-102966-7vdz661d	154	12	sir	sir	PROPN
cord-102966-7vdz661d	154	13	and	and	CCONJ
cord-102966-7vdz661d	154	14	dsir	dsir	NOUN
cord-102966-7vdz661d	154	15	plot	plot	NOUN
cord-102966-7vdz661d	154	16	(	(	PUNCT
cord-102966-7vdz661d	154	17	figure	figure	NOUN
cord-102966-7vdz661d	154	18	10	10	NUM
cord-102966-7vdz661d	154	19	.	.	PUNCT
cord-102966-7vdz661d	155	1	cc	cc	X
cord-102966-7vdz661d	155	2	-	-	PUNCT
cord-102966-7vdz661d	155	3	by	by	ADP
cord-102966-7vdz661d	155	4	-	-	PUNCT
cord-102966-7vdz661d	155	5	nc	nc	PROPN
cord-102966-7vdz661d	155	6	-	-	PUNCT
cord-102966-7vdz661d	155	7	nd	nd	PROPN
cord-102966-7vdz661d	155	8	4.0	4.0	NUM
cord-102966-7vdz661d	155	9	international	international	ADJ
cord-102966-7vdz661d	155	10	license	license	NOUN
cord-102966-7vdz661d	155	11	it	it	PRON
cord-102966-7vdz661d	155	12	is	be	AUX
cord-102966-7vdz661d	155	13	made	make	VERB
cord-102966-7vdz661d	155	14	available	available	ADJ
cord-102966-7vdz661d	155	15	under	under	ADP
cord-102966-7vdz661d	155	16	a	a	PRON
cord-102966-7vdz661d	155	17	is	be	AUX
cord-102966-7vdz661d	155	18	the	the	DET
cord-102966-7vdz661d	155	19	author	author	NOUN
cord-102966-7vdz661d	155	20	/	/	SYM
cord-102966-7vdz661d	155	21	funder	funder	NOUN
cord-102966-7vdz661d	155	22	,	,	PUNCT
cord-102966-7vdz661d	155	23	who	who	PRON
cord-102966-7vdz661d	155	24	has	have	AUX
cord-102966-7vdz661d	155	25	granted	grant	VERB
cord-102966-7vdz661d	155	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	155	27	a	a	DET
cord-102966-7vdz661d	155	28	license	license	NOUN
cord-102966-7vdz661d	155	29	to	to	PART
cord-102966-7vdz661d	155	30	display	display	VERB
cord-102966-7vdz661d	155	31	the	the	DET
cord-102966-7vdz661d	155	32	preprint	preprint	NOUN
cord-102966-7vdz661d	155	33	in	in	ADP
cord-102966-7vdz661d	155	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	155	35	.	.	PUNCT
cord-102966-7vdz661d	156	1	the	the	DET
cord-102966-7vdz661d	156	2	copyright	copyright	NOUN
cord-102966-7vdz661d	156	3	holder	holder	NOUN
cord-102966-7vdz661d	156	4	for	for	ADP
cord-102966-7vdz661d	156	5	this	this	DET
cord-102966-7vdz661d	156	6	preprint	preprint	NOUN
cord-102966-7vdz661d	156	7	this	this	DET
cord-102966-7vdz661d	156	8	version	version	NOUN
cord-102966-7vdz661d	156	9	posted	post	VERB
cord-102966-7vdz661d	156	10	may	may	PROPN
cord-102966-7vdz661d	156	11	1	1	NUM
cord-102966-7vdz661d	156	12	,	,	PUNCT
cord-102966-7vdz661d	156	13	2020	2020	NUM
cord-102966-7vdz661d	156	14	.	.	PUNCT
cord-102966-7vdz661d	157	1	a	a	DET
cord-102966-7vdz661d	157	2	subtle	subtle	ADJ
cord-102966-7vdz661d	157	3	inconsistency	inconsistency	NOUN
cord-102966-7vdz661d	157	4	in	in	ADP
cord-102966-7vdz661d	157	5	the	the	DET
cord-102966-7vdz661d	157	6	standard	standard	ADJ
cord-102966-7vdz661d	157	7	sir	sir	PROPN
cord-102966-7vdz661d	157	8	model	model	NOUN
cord-102966-7vdz661d	157	9	structure	structure	NOUN
cord-102966-7vdz661d	157	10	was	be	AUX
cord-102966-7vdz661d	157	11	pointed	point	VERB
cord-102966-7vdz661d	157	12	out	out	ADP
cord-102966-7vdz661d	157	13	.	.	PUNCT
cord-102966-7vdz661d	158	1	this	this	DET
cord-102966-7vdz661d	158	2	inconsistency	inconsistency	NOUN
cord-102966-7vdz661d	158	3	arises	arise	VERB
cord-102966-7vdz661d	158	4	from	from	ADP
cord-102966-7vdz661d	158	5	misinterpretation	misinterpretation	NOUN
cord-102966-7vdz661d	158	6	of	of	ADP
cord-102966-7vdz661d	158	7	an	an	DET
cord-102966-7vdz661d	158	8	assumption	assumption	NOUN
cord-102966-7vdz661d	158	9	explicitly	explicitly	ADV
cord-102966-7vdz661d	158	10	articulated	articulate	VERB
cord-102966-7vdz661d	158	11	in	in	ADP
cord-102966-7vdz661d	158	12	the	the	DET
cord-102966-7vdz661d	158	13	original	original	ADJ
cord-102966-7vdz661d	158	14	publication	publication	NOUN
cord-102966-7vdz661d	158	15	of	of	ADP
cord-102966-7vdz661d	158	16	kermack	kermack	NOUN
cord-102966-7vdz661d	158	17	and	and	CCONJ
cord-102966-7vdz661d	158	18	mckendrick	mckendrick	PROPN
cord-102966-7vdz661d	158	19	:	:	PUNCT
cord-102966-7vdz661d	158	20	1	1	NUM
cord-102966-7vdz661d	158	21	that	that	SCONJ
cord-102966-7vdz661d	158	22	the	the	DET
cord-102966-7vdz661d	158	23	depletion	depletion	NOUN
cord-102966-7vdz661d	158	24	of	of	ADP
cord-102966-7vdz661d	158	25	the	the	DET
cord-102966-7vdz661d	158	26	infectious	infectious	ADJ
cord-102966-7vdz661d	158	27	compartment	compartment	NOUN
cord-102966-7vdz661d	158	28	is	be	AUX
cord-102966-7vdz661d	158	29	proportional	proportional	ADJ
cord-102966-7vdz661d	158	30	to	to	ADP
cord-102966-7vdz661d	158	31	the	the	DET
cord-102966-7vdz661d	158	32	content	content	NOUN
cord-102966-7vdz661d	158	33	of	of	ADP
cord-102966-7vdz661d	158	34	that	that	DET
cord-102966-7vdz661d	158	35	compartment	compartment	NOUN
cord-102966-7vdz661d	158	36	.	.	PUNCT
cord-102966-7vdz661d	159	1	the	the	DET
cord-102966-7vdz661d	159	2	depletion	depletion	NOUN
cord-102966-7vdz661d	159	3	rate	rate	NOUN
cord-102966-7vdz661d	159	4	constant	constant	ADJ
cord-102966-7vdz661d	159	5	,	,	PUNCT
cord-102966-7vdz661d	159	6	,	,	PUNCT
cord-102966-7vdz661d	159	7	is	be	AUX
cord-102966-7vdz661d	159	8	usually	usually	ADV
cord-102966-7vdz661d	159	9	interpreted	interpret	VERB
cord-102966-7vdz661d	159	10	as	as	ADP
cord-102966-7vdz661d	159	11	equal	equal	ADJ
cord-102966-7vdz661d	159	12	to	to	ADP
cord-102966-7vdz661d	159	13	the	the	DET
cord-102966-7vdz661d	159	14	inverse	inverse	NOUN
cord-102966-7vdz661d	159	15	of	of	ADP
cord-102966-7vdz661d	159	16	the	the	DET
cord-102966-7vdz661d	159	17	residence	residence	NOUN
cord-102966-7vdz661d	159	18	time	time	NOUN
cord-102966-7vdz661d	159	19	in	in	ADP
cord-102966-7vdz661d	159	20	the	the	DET
cord-102966-7vdz661d	159	21	infectious	infectious	ADJ
cord-102966-7vdz661d	159	22	compartment	compartment	NOUN
cord-102966-7vdz661d	159	23	,	,	PUNCT
cord-102966-7vdz661d	159	24	namely	namely	ADV
cord-102966-7vdz661d	159	25	the	the	DET
cord-102966-7vdz661d	159	26	duration	duration	NOUN
cord-102966-7vdz661d	159	27	of	of	ADP
cord-102966-7vdz661d	159	28	the	the	DET
cord-102966-7vdz661d	159	29	infection	infection	NOUN
cord-102966-7vdz661d	159	30	,	,	PUNCT
cord-102966-7vdz661d	159	31	,	,	PUNCT
cord-102966-7vdz661d	159	32	for	for	ADP
cord-102966-7vdz661d	159	33	each	each	DET
cord-102966-7vdz661d	159	34	individual	individual	NOUN
cord-102966-7vdz661d	159	35	(	(	PUNCT
cord-102966-7vdz661d	159	36	eqn	eqn	NOUN
cord-102966-7vdz661d	159	37	.	.	PUNCT
cord-102966-7vdz661d	160	1	(	(	PUNCT
cord-102966-7vdz661d	160	2	18	18	NUM
cord-102966-7vdz661d	160	3	)	)	PUNCT
cord-102966-7vdz661d	160	4	)	)	PUNCT
cord-102966-7vdz661d	160	5	.	.	PUNCT
cord-102966-7vdz661d	161	1	to	to	ADP
cord-102966-7vdz661d	161	2	the	the	DET
cord-102966-7vdz661d	161	3	extent	extent	NOUN
cord-102966-7vdz661d	161	4	that	that	SCONJ
cord-102966-7vdz661d	161	5	this	this	DET
cord-102966-7vdz661d	161	6	duration	duration	NOUN
cord-102966-7vdz661d	161	7	is	be	AUX
cord-102966-7vdz661d	161	8	about	about	ADV
cord-102966-7vdz661d	161	9	constant	constant	ADJ
cord-102966-7vdz661d	161	10	,	,	PUNCT
cord-102966-7vdz661d	161	11	the	the	DET
cord-102966-7vdz661d	161	12	analysis	analysis	NOUN
cord-102966-7vdz661d	161	13	presented	present	VERB
cord-102966-7vdz661d	161	14	here	here	ADV
cord-102966-7vdz661d	161	15	suggests	suggest	VERB
cord-102966-7vdz661d	161	16	that	that	SCONJ
cord-102966-7vdz661d	161	17	the	the	DET
cord-102966-7vdz661d	161	18	preceding	precede	VERB
cord-102966-7vdz661d	161	19	interpretation	interpretation	NOUN
cord-102966-7vdz661d	161	20	is	be	AUX
cord-102966-7vdz661d	161	21	incorrect	incorrect	ADJ
cord-102966-7vdz661d	161	22	,	,	PUNCT
cord-102966-7vdz661d	161	23	leading	lead	VERB
cord-102966-7vdz661d	161	24	to	to	ADP
cord-102966-7vdz661d	161	25	certain	certain	ADJ
cord-102966-7vdz661d	161	26	erroneous	erroneous	ADJ
cord-102966-7vdz661d	161	27	conclusions	conclusion	NOUN
cord-102966-7vdz661d	161	28	.	.	PUNCT
cord-102966-7vdz661d	162	1	a	a	DET
cord-102966-7vdz661d	162	2	corresponding	corresponding	ADJ
cord-102966-7vdz661d	162	3	model	model	NOUN
cord-102966-7vdz661d	162	4	structure	structure	NOUN
cord-102966-7vdz661d	162	5	,	,	PUNCT
cord-102966-7vdz661d	162	6	termed	term	VERB
cord-102966-7vdz661d	162	7	dsir	dsir	NOUN
cord-102966-7vdz661d	162	8	,	,	PUNCT
cord-102966-7vdz661d	162	9	was	be	AUX
cord-102966-7vdz661d	162	10	developed	develop	VERB
cord-102966-7vdz661d	162	11	,	,	PUNCT
cord-102966-7vdz661d	162	12	to	to	PART
cord-102966-7vdz661d	162	13	account	account	VERB
cord-102966-7vdz661d	162	14	for	for	ADP
cord-102966-7vdz661d	162	15	each	each	DET
cord-102966-7vdz661d	162	16	individual	individual	NOUN
cord-102966-7vdz661d	162	17	leaving	leave	VERB
cord-102966-7vdz661d	162	18	the	the	DET
cord-102966-7vdz661d	162	19	infectious	infectious	ADJ
cord-102966-7vdz661d	162	20	compartment	compartment	NOUN
cord-102966-7vdz661d	162	21	after	after	ADP
cord-102966-7vdz661d	162	22	a	a	DET
cord-102966-7vdz661d	162	23	certain	certain	ADJ
cord-102966-7vdz661d	162	24	duration	duration	NOUN
cord-102966-7vdz661d	162	25	.	.	PUNCT
cord-102966-7vdz661d	163	1	the	the	DET
cord-102966-7vdz661d	163	2	dsir	dsir	PROPN
cord-102966-7vdz661d	163	3	model	model	NOUN
cord-102966-7vdz661d	163	4	structure	structure	NOUN
cord-102966-7vdz661d	163	5	comprises	comprise	VERB
cord-102966-7vdz661d	163	6	a	a	DET
cord-102966-7vdz661d	163	7	single	single	ADJ
cord-102966-7vdz661d	163	8	dde	dde	NOUN
cord-102966-7vdz661d	163	9	for	for	ADP
cord-102966-7vdz661d	163	10	the	the	DET
cord-102966-7vdz661d	163	11	susceptible	susceptible	ADJ
cord-102966-7vdz661d	163	12	fraction	fraction	NOUN
cord-102966-7vdz661d	163	13	,	,	PUNCT
cord-102966-7vdz661d	163	14	s	s	PROPN
cord-102966-7vdz661d	163	15	,	,	PUNCT
cord-102966-7vdz661d	163	16	and	and	CCONJ
cord-102966-7vdz661d	163	17	associated	associate	VERB
cord-102966-7vdz661d	163	18	algebraic	algebraic	NOUN
cord-102966-7vdz661d	163	19	equations	equation	NOUN
cord-102966-7vdz661d	163	20	capturing	capture	VERB
cord-102966-7vdz661d	163	21	the	the	DET
cord-102966-7vdz661d	163	22	dependence	dependence	NOUN
cord-102966-7vdz661d	163	23	of	of	ADP
cord-102966-7vdz661d	163	24	the	the	DET
cord-102966-7vdz661d	163	25	remaining	remain	VERB
cord-102966-7vdz661d	163	26	population	population	NOUN
cord-102966-7vdz661d	163	27	fractions	fraction	NOUN
cord-102966-7vdz661d	163	28	on	on	ADP
cord-102966-7vdz661d	163	29	.	.	PUNCT
cord-102966-7vdz661d	164	1	while	while	SCONJ
cord-102966-7vdz661d	164	2	both	both	PRON
cord-102966-7vdz661d	164	3	sir	sir	NOUN
cord-102966-7vdz661d	164	4	and	and	CCONJ
cord-102966-7vdz661d	164	5	dsir	dsir	NOUN
cord-102966-7vdz661d	164	6	produce	produce	VERB
cord-102966-7vdz661d	164	7	the	the	DET
cord-102966-7vdz661d	164	8	same	same	ADJ
cord-102966-7vdz661d	164	9	results	result	NOUN
cord-102966-7vdz661d	164	10	for	for	ADP
cord-102966-7vdz661d	164	11	assessment	assessment	NOUN
cord-102966-7vdz661d	164	12	of	of	ADP
cord-102966-7vdz661d	164	13	stability	stability	NOUN
cord-102966-7vdz661d	164	14	and	and	CCONJ
cord-102966-7vdz661d	164	15	final	final	ADJ
cord-102966-7vdz661d	164	16	values	value	NOUN
cord-102966-7vdz661d	164	17	,	,	PUNCT
cord-102966-7vdz661d	164	18	the	the	DET
cord-102966-7vdz661d	164	19	sir	sir	PROPN
cord-102966-7vdz661d	164	20	model	model	NOUN
cord-102966-7vdz661d	164	21	produces	produce	VERB
cord-102966-7vdz661d	164	22	a	a	DET
cord-102966-7vdz661d	164	23	maximum	maximum	NOUN
cord-102966-7vdz661d	164	24	of	of	ADP
cord-102966-7vdz661d	164	25	the	the	DET
cord-102966-7vdz661d	164	26	infectious	infectious	ADJ
cord-102966-7vdz661d	164	27	fraction	fraction	NOUN
cord-102966-7vdz661d	164	28	,	,	PUNCT
cord-102966-7vdz661d	164	29	*	*	PUNCT
cord-102966-7vdz661d	164	30	,	,	PUNCT
cord-102966-7vdz661d	164	31	about	about	ADV
cord-102966-7vdz661d	164	32	half	half	NOUN
cord-102966-7vdz661d	164	33	of	of	ADP
cord-102966-7vdz661d	164	34	its	its	PRON
cord-102966-7vdz661d	164	35	dsir	dsir	NOUN
cord-102966-7vdz661d	164	36	counterpart	counterpart	NOUN
cord-102966-7vdz661d	164	37	.	.	PUNCT
cord-102966-7vdz661d	165	1	this	this	PRON
cord-102966-7vdz661d	165	2	has	have	VERB
cord-102966-7vdz661d	165	3	profound	profound	ADJ
cord-102966-7vdz661d	165	4	consequences	consequence	NOUN
cord-102966-7vdz661d	165	5	if	if	SCONJ
cord-102966-7vdz661d	165	6	the	the	DET
cord-102966-7vdz661d	165	7	sir	sir	PROPN
cord-102966-7vdz661d	165	8	model	model	NOUN
cord-102966-7vdz661d	165	9	is	be	AUX
cord-102966-7vdz661d	165	10	used	use	VERB
cord-102966-7vdz661d	165	11	to	to	PART
cord-102966-7vdz661d	165	12	predict	predict	VERB
cord-102966-7vdz661d	165	13	*	*	PUNCT
cord-102966-7vdz661d	165	14	during	during	ADP
cord-102966-7vdz661d	165	15	an	an	DET
cord-102966-7vdz661d	165	16	epidemic	epidemic	NOUN
cord-102966-7vdz661d	165	17	.	.	PUNCT
cord-102966-7vdz661d	166	1	it	it	PRON
cord-102966-7vdz661d	166	2	is	be	AUX
cord-102966-7vdz661d	166	3	also	also	ADV
cord-102966-7vdz661d	166	4	noted	note	VERB
cord-102966-7vdz661d	166	5	that	that	SCONJ
cord-102966-7vdz661d	166	6	even	even	ADV
cord-102966-7vdz661d	166	7	if	if	SCONJ
cord-102966-7vdz661d	166	8	the	the	DET
cord-102966-7vdz661d	166	9	sir	sir	PROPN
cord-102966-7vdz661d	166	10	model	model	NOUN
cord-102966-7vdz661d	166	11	parameters	parameter	NOUN
cord-102966-7vdz661d	166	12	and	and	CCONJ
cord-102966-7vdz661d	166	13	are	be	AUX
cord-102966-7vdz661d	166	14	estimated	estimate	VERB
cord-102966-7vdz661d	166	15	based	base	VERB
cord-102966-7vdz661d	166	16	on	on	ADP
cord-102966-7vdz661d	166	17	experimental	experimental	ADJ
cord-102966-7vdz661d	166	18	data	datum	NOUN
cord-102966-7vdz661d	166	19	fit	fit	ADJ
cord-102966-7vdz661d	166	20	-albeit	-albeit	PUNCT
cord-102966-7vdz661d	166	21	under	under	ADP
cord-102966-7vdz661d	166	22	the	the	DET
cord-102966-7vdz661d	166	23	wrong	wrong	ADJ
cord-102966-7vdz661d	166	24	interpretationmodel	interpretationmodel	ADJ
cord-102966-7vdz661d	166	25	predictions	prediction	NOUN
cord-102966-7vdz661d	166	26	are	be	AUX
cord-102966-7vdz661d	166	27	still	still	ADV
cord-102966-7vdz661d	166	28	going	go	VERB
cord-102966-7vdz661d	166	29	to	to	PART
cord-102966-7vdz661d	166	30	be	be	AUX
cord-102966-7vdz661d	166	31	inaccurate	inaccurate	ADJ
cord-102966-7vdz661d	166	32	.	.	PUNCT
cord-102966-7vdz661d	167	1	this	this	PRON
cord-102966-7vdz661d	167	2	is	be	AUX
cord-102966-7vdz661d	167	3	because	because	SCONJ
cord-102966-7vdz661d	167	4	the	the	DET
cord-102966-7vdz661d	167	5	standard	standard	ADJ
cord-102966-7vdz661d	167	6	sir	sir	PROPN
cord-102966-7vdz661d	167	7	model	model	NOUN
cord-102966-7vdz661d	167	8	,	,	PUNCT
cord-102966-7vdz661d	167	9	comprising	comprise	VERB
cord-102966-7vdz661d	167	10	the	the	DET
cord-102966-7vdz661d	167	11	three	three	NUM
cord-102966-7vdz661d	167	12	odes	ode	NOUN
cord-102966-7vdz661d	167	13	in	in	ADP
cord-102966-7vdz661d	167	14	eqns	eqns	PROPN
cord-102966-7vdz661d	167	15	.	.	PUNCT
cord-102966-7vdz661d	168	1	(	(	PUNCT
cord-102966-7vdz661d	168	2	1)-(3	1)-(3	NUM
cord-102966-7vdz661d	168	3	)	)	PUNCT
cord-102966-7vdz661d	168	4	,	,	PUNCT
cord-102966-7vdz661d	168	5	is	be	AUX
cord-102966-7vdz661d	168	6	structurally	structurally	ADV
cord-102966-7vdz661d	168	7	different	different	ADJ
cord-102966-7vdz661d	168	8	from	from	ADP
cord-102966-7vdz661d	168	9	the	the	DET
cord-102966-7vdz661d	168	10	dde	dde	ADJ
cord-102966-7vdz661d	168	11	form	form	NOUN
cord-102966-7vdz661d	168	12	of	of	ADP
cord-102966-7vdz661d	168	13	the	the	DET
cord-102966-7vdz661d	168	14	dsir	dsir	PROPN
cord-102966-7vdz661d	168	15	model	model	PROPN
cord-102966-7vdz661d	168	16	,	,	PUNCT
cord-102966-7vdz661d	168	17	eqns	eqns	PROPN
cord-102966-7vdz661d	168	18	.	.	PUNCT
cord-102966-7vdz661d	169	1	(	(	PUNCT
cord-102966-7vdz661d	169	2	7)-(9	7)-(9	NOUN
cord-102966-7vdz661d	169	3	)	)	PUNCT
cord-102966-7vdz661d	169	4	,	,	PUNCT
cord-102966-7vdz661d	169	5	or	or	CCONJ
cord-102966-7vdz661d	169	6	even	even	ADV
cord-102966-7vdz661d	169	7	from	from	ADP
cord-102966-7vdz661d	169	8	the	the	DET
cord-102966-7vdz661d	169	9	ode	ode	ADJ
cord-102966-7vdz661d	169	10	form	form	NOUN
cord-102966-7vdz661d	169	11	of	of	ADP
cord-102966-7vdz661d	169	12	the	the	DET
cord-102966-7vdz661d	169	13	padé	padé	PROPN
cord-102966-7vdz661d	169	14	-	-	PUNCT
cord-102966-7vdz661d	169	15	based	base	VERB
cord-102966-7vdz661d	169	16	approximation	approximation	NOUN
cord-102966-7vdz661d	169	17	of	of	ADP
cord-102966-7vdz661d	169	18	the	the	DET
cord-102966-7vdz661d	169	19	dsir	dsir	PROPN
cord-102966-7vdz661d	169	20	model	model	NOUN
cord-102966-7vdz661d	169	21	ddes	ddes	PROPN
cord-102966-7vdz661d	169	22	,	,	PUNCT
cord-102966-7vdz661d	169	23	eqns	eqns	PROPN
cord-102966-7vdz661d	169	24	.	.	PUNCT
cord-102966-7vdz661d	170	1	(	(	PUNCT
cord-102966-7vdz661d	170	2	1	1	NUM
cord-102966-7vdz661d	170	3	)	)	PUNCT
cord-102966-7vdz661d	170	4	and	and	CCONJ
cord-102966-7vdz661d	170	5	(	(	PUNCT
cord-102966-7vdz661d	170	6	13	13	NUM
cord-102966-7vdz661d	170	7	)	)	PUNCT
cord-102966-7vdz661d	170	8	or	or	CCONJ
cord-102966-7vdz661d	170	9	(	(	PUNCT
cord-102966-7vdz661d	170	10	1	1	NUM
cord-102966-7vdz661d	170	11	)	)	PUNCT
cord-102966-7vdz661d	170	12	and	and	CCONJ
cord-102966-7vdz661d	170	13	(	(	PUNCT
cord-102966-7vdz661d	170	14	14	14	NUM
cord-102966-7vdz661d	170	15	)	)	PUNCT
cord-102966-7vdz661d	170	16	.	.	PUNCT
cord-102966-7vdz661d	171	1	the	the	DET
cord-102966-7vdz661d	171	2	dsir	dsir	NOUN
cord-102966-7vdz661d	171	3	structure	structure	NOUN
cord-102966-7vdz661d	171	4	can	can	AUX
cord-102966-7vdz661d	171	5	be	be	AUX
cord-102966-7vdz661d	171	6	easily	easily	ADV
cord-102966-7vdz661d	171	7	extented	extente	VERB
cord-102966-7vdz661d	171	8	to	to	ADP
cord-102966-7vdz661d	171	9	other	other	ADJ
cord-102966-7vdz661d	171	10	compartment	compartment	NOUN
cord-102966-7vdz661d	171	11	-	-	PUNCT
cord-102966-7vdz661d	171	12	based	base	VERB
cord-102966-7vdz661d	171	13	population	population	NOUN
cord-102966-7vdz661d	171	14	models	model	NOUN
cord-102966-7vdz661d	171	15	.	.	PUNCT
cord-102966-7vdz661d	172	1	3	3	NUM
cord-102966-7vdz661d	172	2	such	such	DET
cord-102966-7vdz661d	172	3	an	an	DET
cord-102966-7vdz661d	172	4	extension	extension	NOUN
cord-102966-7vdz661d	172	5	to	to	ADP
cord-102966-7vdz661d	172	6	the	the	DET
cord-102966-7vdz661d	172	7	dspir	dspir	NOUN
cord-102966-7vdz661d	172	8	model	model	NOUN
cord-102966-7vdz661d	172	9	structure	structure	NOUN
cord-102966-7vdz661d	172	10	was	be	AUX
cord-102966-7vdz661d	172	11	presented	present	VERB
cord-102966-7vdz661d	172	12	and	and	CCONJ
cord-102966-7vdz661d	172	13	briefly	briefly	ADV
cord-102966-7vdz661d	172	14	illustrated	illustrate	VERB
cord-102966-7vdz661d	172	15	and	and	CCONJ
cord-102966-7vdz661d	172	16	analyzed	analyze	VERB
cord-102966-7vdz661d	172	17	.	.	PUNCT
cord-102966-7vdz661d	173	1	this	this	DET
cord-102966-7vdz661d	173	2	model	model	NOUN
cord-102966-7vdz661d	173	3	is	be	AUX
cord-102966-7vdz661d	173	4	important	important	ADJ
cord-102966-7vdz661d	173	5	for	for	ADP
cord-102966-7vdz661d	173	6	infections	infection	NOUN
cord-102966-7vdz661d	173	7	transmitted	transmit	VERB
cord-102966-7vdz661d	173	8	by	by	ADP
cord-102966-7vdz661d	173	9	both	both	DET
cord-102966-7vdz661d	173	10	pre	pre	ADJ
cord-102966-7vdz661d	173	11	-	-	ADJ
cord-102966-7vdz661d	173	12	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	173	13	and	and	CCONJ
cord-102966-7vdz661d	173	14	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	173	15	infected	infect	VERB
cord-102966-7vdz661d	173	16	individuals	individual	NOUN
cord-102966-7vdz661d	173	17	.	.	PUNCT
cord-102966-7vdz661d	174	1	similarities	similarity	NOUN
cord-102966-7vdz661d	174	2	and	and	CCONJ
cord-102966-7vdz661d	174	3	differences	difference	NOUN
cord-102966-7vdz661d	174	4	between	between	ADP
cord-102966-7vdz661d	174	5	spir	spir	NOUN
cord-102966-7vdz661d	174	6	and	and	CCONJ
cord-102966-7vdz661d	174	7	dspir	dspir	NOUN
cord-102966-7vdz661d	174	8	models	model	NOUN
cord-102966-7vdz661d	174	9	are	be	AUX
cord-102966-7vdz661d	174	10	of	of	ADP
cord-102966-7vdz661d	174	11	the	the	DET
cord-102966-7vdz661d	174	12	same	same	ADJ
cord-102966-7vdz661d	174	13	nature	nature	NOUN
cord-102966-7vdz661d	174	14	as	as	ADP
cord-102966-7vdz661d	174	15	between	between	ADP
cord-102966-7vdz661d	174	16	sir	sir	PROPN
cord-102966-7vdz661d	174	17	and	and	CCONJ
cord-102966-7vdz661d	174	18	dsir	dsir	PROPN
cord-102966-7vdz661d	174	19	models	model	NOUN
cord-102966-7vdz661d	174	20	.	.	PUNCT
cord-102966-7vdz661d	175	1	numerous	numerous	ADJ
cord-102966-7vdz661d	175	2	additional	additional	ADJ
cord-102966-7vdz661d	175	3	issues	issue	NOUN
cord-102966-7vdz661d	175	4	related	relate	VERB
cord-102966-7vdz661d	175	5	to	to	ADP
cord-102966-7vdz661d	175	6	this	this	DET
cord-102966-7vdz661d	175	7	work	work	NOUN
cord-102966-7vdz661d	175	8	can	can	AUX
cord-102966-7vdz661d	175	9	be	be	AUX
cord-102966-7vdz661d	175	10	considered	consider	VERB
cord-102966-7vdz661d	175	11	,	,	PUNCT
cord-102966-7vdz661d	175	12	including	include	VERB
cord-102966-7vdz661d	175	13	the	the	DET
cord-102966-7vdz661d	175	14	following	follow	VERB
cord-102966-7vdz661d	175	15	:	:	PUNCT
cord-102966-7vdz661d	175	16	rigorous	rigorous	ADJ
cord-102966-7vdz661d	175	17	analysis	analysis	NOUN
cord-102966-7vdz661d	175	18	of	of	ADP
cord-102966-7vdz661d	175	19	dde	dde	ADJ
cord-102966-7vdz661d	175	20	models	model	NOUN
cord-102966-7vdz661d	175	21	;	;	PUNCT
cord-102966-7vdz661d	175	22	dde	dde	VERB
cord-102966-7vdz661d	175	23	modeling	modeling	NOUN
cord-102966-7vdz661d	175	24	and	and	CCONJ
cord-102966-7vdz661d	175	25	analysis	analysis	NOUN
cord-102966-7vdz661d	175	26	for	for	ADP
cord-102966-7vdz661d	175	27	a	a	DET
cord-102966-7vdz661d	175	28	distribution	distribution	NOUN
cord-102966-7vdz661d	175	29	rather	rather	ADV
cord-102966-7vdz661d	175	30	than	than	ADP
cord-102966-7vdz661d	175	31	uniform	uniform	ADJ
cord-102966-7vdz661d	175	32	delay	delay	NOUN
cord-102966-7vdz661d	175	33	(	(	PUNCT
cord-102966-7vdz661d	175	34	cf	cf	PROPN
cord-102966-7vdz661d	175	35	.	.	PUNCT
cord-102966-7vdz661d	175	36	figure	figure	NOUN
cord-102966-7vdz661d	175	37	2	2	NUM
cord-102966-7vdz661d	175	38	)	)	PUNCT
cord-102966-7vdz661d	175	39	;	;	PUNCT
cord-102966-7vdz661d	175	40	resolution	resolution	NOUN
cord-102966-7vdz661d	175	41	of	of	ADP
cord-102966-7vdz661d	175	42	conjectures	conjecture	NOUN
cord-102966-7vdz661d	175	43	presented	present	VERB
cord-102966-7vdz661d	175	44	in	in	ADP
cord-102966-7vdz661d	175	45	the	the	DET
cord-102966-7vdz661d	175	46	text	text	NOUN
cord-102966-7vdz661d	175	47	;	;	PUNCT
cord-102966-7vdz661d	175	48	and	and	CCONJ
cord-102966-7vdz661d	175	49	implications	implication	NOUN
cord-102966-7vdz661d	175	50	for	for	ADP
cord-102966-7vdz661d	175	51	different	different	ADJ
cord-102966-7vdz661d	175	52	forms	form	NOUN
cord-102966-7vdz661d	175	53	of	of	ADP
cord-102966-7vdz661d	175	54	infection	infection	NOUN
cord-102966-7vdz661d	175	55	kinetics	kinetic	NOUN
cord-102966-7vdz661d	175	56	.	.	PUNCT
cord-102966-7vdz661d	176	1	such	such	ADJ
cord-102966-7vdz661d	176	2	issues	issue	NOUN
cord-102966-7vdz661d	176	3	will	will	AUX
cord-102966-7vdz661d	176	4	be	be	AUX
cord-102966-7vdz661d	176	5	addressed	address	VERB
cord-102966-7vdz661d	176	6	in	in	ADP
cord-102966-7vdz661d	176	7	forthcoming	forthcoming	ADJ
cord-102966-7vdz661d	176	8	publications	publication	NOUN
cord-102966-7vdz661d	176	9	.	.	PUNCT
cord-102966-7vdz661d	177	1	all	all	DET
cord-102966-7vdz661d	177	2	computations	computation	NOUN
cord-102966-7vdz661d	177	3	were	be	AUX
cord-102966-7vdz661d	177	4	done	do	VERB
cord-102966-7vdz661d	177	5	in	in	ADP
cord-102966-7vdz661d	177	6	mathematica	mathematica	PROPN
cord-102966-7vdz661d	177	7	,	,	PUNCT
cord-102966-7vdz661d	177	8	available	available	ADJ
cord-102966-7vdz661d	177	9	at	at	ADP
cord-102966-7vdz661d	177	10	the	the	DET
cord-102966-7vdz661d	177	11	university	university	PROPN
cord-102966-7vdz661d	177	12	of	of	ADP
cord-102966-7vdz661d	177	13	houston	houston	PROPN
cord-102966-7vdz661d	177	14	.	.	PUNCT
cord-102966-7vdz661d	178	1	sharing	sharing	NOUN
cord-102966-7vdz661d	178	2	of	of	ADP
cord-102966-7vdz661d	178	3	teaching	teach	VERB
cord-102966-7vdz661d	178	4	material	material	NOUN
cord-102966-7vdz661d	178	5	about	about	ADP
cord-102966-7vdz661d	178	6	the	the	DET
cord-102966-7vdz661d	178	7	sir	sir	PROPN
cord-102966-7vdz661d	178	8	model	model	NOUN
cord-102966-7vdz661d	178	9	on	on	ADP
cord-102966-7vdz661d	178	10	github	github	PROPN
cord-102966-7vdz661d	178	11	by	by	ADP
cord-102966-7vdz661d	178	12	prof	prof	PROPN
cord-102966-7vdz661d	178	13	.	.	PUNCT
cord-102966-7vdz661d	179	1	jeff	jeff	PROPN
cord-102966-7vdz661d	179	2	kantor	kantor	PROPN
cord-102966-7vdz661d	179	3	of	of	ADP
cord-102966-7vdz661d	179	4	notre	notre	PROPN
cord-102966-7vdz661d	179	5	dame	dame	PROPN
cord-102966-7vdz661d	179	6	is	be	AUX
cord-102966-7vdz661d	179	7	also	also	ADV
cord-102966-7vdz661d	179	8	gratefully	gratefully	ADV
cord-102966-7vdz661d	179	9	acknowledged	acknowledge	VERB
cord-102966-7vdz661d	179	10	.	.	PUNCT
cord-102966-7vdz661d	180	1	research	research	NOUN
cord-102966-7vdz661d	180	2	reported	report	VERB
cord-102966-7vdz661d	180	3	in	in	ADP
cord-102966-7vdz661d	180	4	this	this	DET
cord-102966-7vdz661d	180	5	publication	publication	NOUN
cord-102966-7vdz661d	180	6	was	be	AUX
cord-102966-7vdz661d	180	7	partially	partially	ADV
cord-102966-7vdz661d	180	8	supported	support	VERB
cord-102966-7vdz661d	180	9	by	by	ADP
cord-102966-7vdz661d	180	10	the	the	DET
cord-102966-7vdz661d	180	11	institute	institute	PROPN
cord-102966-7vdz661d	180	12	of	of	ADP
cord-102966-7vdz661d	180	13	allergy	allergy	PROPN
cord-102966-7vdz661d	180	14	and	and	CCONJ
cord-102966-7vdz661d	180	15	infectious	infectious	ADJ
cord-102966-7vdz661d	180	16	diseases	disease	NOUN
cord-102966-7vdz661d	180	17	of	of	ADP
cord-102966-7vdz661d	180	18	the	the	DET
cord-102966-7vdz661d	180	19	national	national	PROPN
cord-102966-7vdz661d	180	20	institutes	institutes	PROPN
cord-102966-7vdz661d	180	21	of	of	ADP
cord-102966-7vdz661d	180	22	health	health	PROPN
cord-102966-7vdz661d	180	23	under	under	ADP
cord-102966-7vdz661d	180	24	award	award	NOUN
cord-102966-7vdz661d	180	25	number	number	NOUN
cord-102966-7vdz661d	180	26	r01ai140287	r01ai140287	NOUN
cord-102966-7vdz661d	180	27	,	,	PUNCT
cord-102966-7vdz661d	180	28	financed	finance	VERB
cord-102966-7vdz661d	180	29	with	with	ADP
cord-102966-7vdz661d	180	30	federal	federal	ADJ
cord-102966-7vdz661d	180	31	money	money	NOUN
cord-102966-7vdz661d	180	32	.	.	PUNCT
cord-102966-7vdz661d	181	1	the	the	DET
cord-102966-7vdz661d	181	2	content	content	NOUN
cord-102966-7vdz661d	181	3	is	be	AUX
cord-102966-7vdz661d	181	4	solely	solely	ADV
cord-102966-7vdz661d	181	5	the	the	DET
cord-102966-7vdz661d	181	6	responsibility	responsibility	NOUN
cord-102966-7vdz661d	181	7	of	of	ADP
cord-102966-7vdz661d	181	8	the	the	DET
cord-102966-7vdz661d	181	9	author	author	NOUN
cord-102966-7vdz661d	181	10	and	and	CCONJ
cord-102966-7vdz661d	181	11	does	do	AUX
cord-102966-7vdz661d	181	12	not	not	PART
cord-102966-7vdz661d	181	13	necessarily	necessarily	ADV
cord-102966-7vdz661d	181	14	represent	represent	VERB
cord-102966-7vdz661d	181	15	the	the	DET
cord-102966-7vdz661d	181	16	official	official	ADJ
cord-102966-7vdz661d	181	17	views	view	NOUN
cord-102966-7vdz661d	181	18	of	of	ADP
cord-102966-7vdz661d	181	19	the	the	DET
cord-102966-7vdz661d	181	20	national	national	ADJ
cord-102966-7vdz661d	181	21	institutes	institutes	PROPN
cord-102966-7vdz661d	181	22	of	of	ADP
cord-102966-7vdz661d	181	23	health	health	PROPN
cord-102966-7vdz661d	181	24	.	.	PUNCT
cord-102966-7vdz661d	182	1	the	the	DET
cord-102966-7vdz661d	182	2	roots	root	NOUN
cord-102966-7vdz661d	182	3	of	of	ADP
cord-102966-7vdz661d	182	4	the	the	DET
cord-102966-7vdz661d	182	5	transcendental	transcendental	ADJ
cord-102966-7vdz661d	182	6	characteristic	characteristic	ADJ
cord-102966-7vdz661d	182	7	equation	equation	NOUN
cord-102966-7vdz661d	182	8	is	be	AUX
cord-102966-7vdz661d	182	9	the	the	DET
cord-102966-7vdz661d	182	10	author	author	NOUN
cord-102966-7vdz661d	182	11	/	/	SYM
cord-102966-7vdz661d	182	12	funder	funder	NOUN
cord-102966-7vdz661d	182	13	,	,	PUNCT
cord-102966-7vdz661d	182	14	who	who	PRON
cord-102966-7vdz661d	182	15	has	have	AUX
cord-102966-7vdz661d	182	16	granted	grant	VERB
cord-102966-7vdz661d	182	17	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	182	18	a	a	DET
cord-102966-7vdz661d	182	19	license	license	NOUN
cord-102966-7vdz661d	182	20	to	to	PART
cord-102966-7vdz661d	182	21	display	display	VERB
cord-102966-7vdz661d	182	22	the	the	DET
cord-102966-7vdz661d	182	23	preprint	preprint	NOUN
cord-102966-7vdz661d	182	24	in	in	ADP
cord-102966-7vdz661d	182	25	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	182	26	.	.	PUNCT
cord-102966-7vdz661d	183	1	the	the	DET
cord-102966-7vdz661d	183	2	copyright	copyright	NOUN
cord-102966-7vdz661d	183	3	holder	holder	NOUN
cord-102966-7vdz661d	183	4	for	for	ADP
cord-102966-7vdz661d	183	5	this	this	DET
cord-102966-7vdz661d	183	6	preprint	preprint	NOUN
cord-102966-7vdz661d	183	7	this	this	DET
cord-102966-7vdz661d	183	8	version	version	NOUN
cord-102966-7vdz661d	183	9	posted	post	VERB
cord-102966-7vdz661d	183	10	may	may	PROPN
cord-102966-7vdz661d	183	11	1	1	NUM
cord-102966-7vdz661d	183	12	,	,	PUNCT
cord-102966-7vdz661d	183	13	2020	2020	NUM
cord-102966-7vdz661d	183	14	.	.	PUNCT
cord-102966-7vdz661d	184	1	for	for	ADP
cord-102966-7vdz661d	184	2	stability	stability	NOUN
cord-102966-7vdz661d	184	3	,	,	PUNCT
cord-102966-7vdz661d	184	4	all	all	PRON
cord-102966-7vdz661d	184	5	must	must	AUX
cord-102966-7vdz661d	184	6	be	be	AUX
cord-102966-7vdz661d	184	7	in	in	ADP
cord-102966-7vdz661d	184	8	the	the	DET
cord-102966-7vdz661d	184	9	left	left	ADJ
cord-102966-7vdz661d	184	10	-	-	PUNCT
cord-102966-7vdz661d	184	11	half	half	NOUN
cord-102966-7vdz661d	184	12	of	of	ADP
cord-102966-7vdz661d	184	13	the	the	DET
cord-102966-7vdz661d	184	14	complex	complex	ADJ
cord-102966-7vdz661d	184	15	plane	plane	NOUN
cord-102966-7vdz661d	184	16	.	.	PUNCT
cord-102966-7vdz661d	185	1	we	we	PRON
cord-102966-7vdz661d	185	2	show	show	VERB
cord-102966-7vdz661d	185	3	first	first	ADV
cord-102966-7vdz661d	185	4	that	that	SCONJ
cord-102966-7vdz661d	185	5	for	for	ADP
cord-102966-7vdz661d	185	6	any	any	DET
cord-102966-7vdz661d	185	7	positive	positive	ADJ
cord-102966-7vdz661d	185	8	value	value	NOUN
cord-102966-7vdz661d	185	9	of	of	ADP
cord-102966-7vdz661d	185	10	̅	̅	NOUN
cord-102966-7vdz661d	185	11	,	,	PUNCT
cord-102966-7vdz661d	185	12	no	no	DET
cord-102966-7vdz661d	185	13	complex	complex	ADJ
cord-102966-7vdz661d	185	14	root	root	NOUN
cord-102966-7vdz661d	185	15	=	=	NOUN
cord-102966-7vdz661d	185	16	+	+	PUNCT
cord-102966-7vdz661d	185	17	can	can	AUX
cord-102966-7vdz661d	185	18	cross	cross	VERB
cord-102966-7vdz661d	185	19	the	the	DET
cord-102966-7vdz661d	185	20	imaginary	imaginary	ADJ
cord-102966-7vdz661d	185	21	axis	axis	NOUN
cord-102966-7vdz661d	185	22	to	to	PART
cord-102966-7vdz661d	185	23	move	move	VERB
cord-102966-7vdz661d	185	24	from	from	ADP
cord-102966-7vdz661d	185	25	stability	stability	NOUN
cord-102966-7vdz661d	185	26	to	to	ADP
cord-102966-7vdz661d	185	27	instability	instability	NOUN
cord-102966-7vdz661d	185	28	.	.	PUNCT
cord-102966-7vdz661d	186	1	because	because	SCONJ
cord-102966-7vdz661d	186	2	,	,	PUNCT
cord-102966-7vdz661d	186	3	if	if	SCONJ
cord-102966-7vdz661d	186	4	=	=	NOUN
cord-102966-7vdz661d	186	5	were	be	AUX
cord-102966-7vdz661d	186	6	a	a	DET
cord-102966-7vdz661d	186	7	root	root	NOUN
cord-102966-7vdz661d	186	8	of	of	ADP
cord-102966-7vdz661d	186	9	eqn	eqn	NOUN
cord-102966-7vdz661d	186	10	.	.	PUNCT
cord-102966-7vdz661d	187	1	(	(	PUNCT
cord-102966-7vdz661d	187	2	58	58	NUM
cord-102966-7vdz661d	187	3	)	)	PUNCT
cord-102966-7vdz661d	187	4	for	for	ADP
cord-102966-7vdz661d	187	5	̅	̅	NOUN
cord-102966-7vdz661d	187	6	>	>	X
cord-102966-7vdz661d	187	7	0	0	NUM
cord-102966-7vdz661d	187	8	,	,	PUNCT
cord-102966-7vdz661d	187	9	it	it	PRON
cord-102966-7vdz661d	187	10	would	would	AUX
cord-102966-7vdz661d	187	11	be	be	AUX
cord-102966-7vdz661d	187	12	therefore	therefore	ADV
cord-102966-7vdz661d	187	13	,	,	PUNCT
cord-102966-7vdz661d	187	14	only	only	ADV
cord-102966-7vdz661d	187	15	real	real	ADJ
cord-102966-7vdz661d	187	16	roots	root	NOUN
cord-102966-7vdz661d	187	17	should	should	AUX
cord-102966-7vdz661d	187	18	be	be	AUX
cord-102966-7vdz661d	187	19	considered	consider	VERB
cord-102966-7vdz661d	187	20	in	in	ADP
cord-102966-7vdz661d	187	21	eqn	eqn	PROPN
cord-102966-7vdz661d	187	22	.	.	PUNCT
cord-102966-7vdz661d	188	1	(	(	PUNCT
cord-102966-7vdz661d	188	2	59	59	NUM
cord-102966-7vdz661d	188	3	)	)	PUNCT
cord-102966-7vdz661d	188	4	for	for	ADP
cord-102966-7vdz661d	188	5	stability	stability	NOUN
cord-102966-7vdz661d	188	6	analysis	analysis	NOUN
cord-102966-7vdz661d	188	7	.	.	PUNCT
cord-102966-7vdz661d	189	1	furthermore	furthermore	ADV
cord-102966-7vdz661d	189	2	,	,	PUNCT
cord-102966-7vdz661d	189	3	since	since	SCONJ
cord-102966-7vdz661d	189	4	the	the	DET
cord-102966-7vdz661d	189	5	relevant	relevant	ADJ
cord-102966-7vdz661d	189	6	values	value	NOUN
cord-102966-7vdz661d	189	7	of	of	ADP
cord-102966-7vdz661d	189	8	are	be	AUX
cord-102966-7vdz661d	189	9	0	0	NUM
cord-102966-7vdz661d	189	10	,	,	PUNCT
cord-102966-7vdz661d	189	11	−1	−1	NOUN
cord-102966-7vdz661d	189	12	in	in	ADP
cord-102966-7vdz661d	189	13	eqn	eqn	PROPN
cord-102966-7vdz661d	189	14	.	.	PUNCT
cord-102966-7vdz661d	190	1	(	(	PUNCT
cord-102966-7vdz661d	190	2	59	59	NUM
cord-102966-7vdz661d	190	3	)	)	PUNCT
cord-102966-7vdz661d	190	4	for	for	ADP
cord-102966-7vdz661d	190	5	∈	∈	PROPN
cord-102966-7vdz661d	190	6	ℝ	ℝ	PROPN
cord-102966-7vdz661d	190	7	,	,	PUNCT
cord-102966-7vdz661d	190	8	and	and	CCONJ
cord-102966-7vdz661d	190	9	<	<	X
cord-102966-7vdz661d	190	10	0	0	X
cord-102966-7vdz661d	190	11	implies	imply	VERB
cord-102966-7vdz661d	190	12	which	which	PRON
cord-102966-7vdz661d	190	13	is	be	AUX
cord-102966-7vdz661d	190	14	satisfied	satisfied	ADJ
cord-102966-7vdz661d	190	15	for	for	ADP
cord-102966-7vdz661d	190	16	<	<	X
cord-102966-7vdz661d	190	17	1	1	NUM
cord-102966-7vdz661d	190	18	(	(	PUNCT
cord-102966-7vdz661d	190	19	see	see	VERB
cord-102966-7vdz661d	190	20	figure	figure	NOUN
cord-102966-7vdz661d	190	21	below	below	ADP
cord-102966-7vdz661d	190	22	)	)	PUNCT
cord-102966-7vdz661d	190	23	leading	lead	VERB
cord-102966-7vdz661d	190	24	immediately	immediately	ADV
cord-102966-7vdz661d	190	25	to	to	ADP
cord-102966-7vdz661d	190	26	eqn	eqn	PROPN
cord-102966-7vdz661d	190	27	.	.	PUNCT
cord-102966-7vdz661d	191	1	(	(	PUNCT
cord-102966-7vdz661d	191	2	17	17	NUM
cord-102966-7vdz661d	191	3	)	)	PUNCT
cord-102966-7vdz661d	191	4	.	.	PUNCT
cord-102966-7vdz661d	192	1	appendix	appendix	PROPN
cord-102966-7vdz661d	192	2	c.	c.	NOUN
cord-102966-7vdz661d	192	3	proof	proof	NOUN
cord-102966-7vdz661d	192	4	of	of	ADP
cord-102966-7vdz661d	192	5	eqn	eqn	NOUN
cord-102966-7vdz661d	192	6	.	.	PUNCT
cord-102966-7vdz661d	193	1	(	(	PUNCT
cord-102966-7vdz661d	193	2	19	19	NUM
cord-102966-7vdz661d	193	3	)	)	PUNCT
cord-102966-7vdz661d	193	4	dividing	divide	VERB
cord-102966-7vdz661d	193	5	eqn	eqn	NOUN
cord-102966-7vdz661d	193	6	.	.	PUNCT
cord-102966-7vdz661d	194	1	(	(	PUNCT
cord-102966-7vdz661d	194	2	7	7	NUM
cord-102966-7vdz661d	194	3	)	)	PUNCT
cord-102966-7vdz661d	194	4	by	by	ADP
cord-102966-7vdz661d	194	5	yields	yield	NOUN
cord-102966-7vdz661d	194	6	continuing	continue	VERB
cord-102966-7vdz661d	194	7	on	on	ADP
cord-102966-7vdz661d	194	8	the	the	DET
cord-102966-7vdz661d	194	9	last	last	ADJ
cord-102966-7vdz661d	194	10	equation	equation	NOUN
cord-102966-7vdz661d	194	11	we	we	PRON
cord-102966-7vdz661d	194	12	get	get	VERB
cord-102966-7vdz661d	194	13	which	which	PRON
cord-102966-7vdz661d	194	14	is	be	AUX
cord-102966-7vdz661d	194	15	eqn	eqn	NOUN
cord-102966-7vdz661d	194	16	.	.	PUNCT
cord-102966-7vdz661d	195	1	(	(	PUNCT
cord-102966-7vdz661d	195	2	19	19	NUM
cord-102966-7vdz661d	195	3	)	)	PUNCT
cord-102966-7vdz661d	195	4	.	.	PUNCT
cord-102966-7vdz661d	196	1	the	the	DET
cord-102966-7vdz661d	196	2	padé	padé	PROPN
cord-102966-7vdz661d	196	3	sir	sir	PROPN
cord-102966-7vdz661d	196	4	model	model	NOUN
cord-102966-7vdz661d	196	5	also	also	ADV
cord-102966-7vdz661d	196	6	reaches	reach	VERB
cord-102966-7vdz661d	196	7	the	the	DET
cord-102966-7vdz661d	196	8	same	same	ADJ
cord-102966-7vdz661d	196	9	result	result	NOUN
cord-102966-7vdz661d	196	10	:	:	PUNCT
cord-102966-7vdz661d	196	11	dividing	divide	VERB
cord-102966-7vdz661d	196	12	eqn	eqn	NOUN
cord-102966-7vdz661d	196	13	.	.	PUNCT
cord-102966-7vdz661d	197	1	(	(	PUNCT
cord-102966-7vdz661d	197	2	1	1	NUM
cord-102966-7vdz661d	197	3	)	)	PUNCT
cord-102966-7vdz661d	197	4	by	by	ADP
cord-102966-7vdz661d	197	5	eqn	eqn	PROPN
cord-102966-7vdz661d	197	6	.	.	PUNCT
cord-102966-7vdz661d	198	1	(	(	PUNCT
cord-102966-7vdz661d	198	2	13	13	NUM
cord-102966-7vdz661d	198	3	)	)	PUNCT
cord-102966-7vdz661d	198	4	and	and	CCONJ
cord-102966-7vdz661d	198	5	rearranging	rearrange	VERB
cord-102966-7vdz661d	198	6	yields	yield	NOUN
cord-102966-7vdz661d	198	7	taking	take	VERB
cord-102966-7vdz661d	198	8	the	the	DET
cord-102966-7vdz661d	198	9	limit	limit	NOUN
cord-102966-7vdz661d	198	10	as	as	ADP
cord-102966-7vdz661d	198	11	→	→	ADP
cord-102966-7vdz661d	198	12	∞	∞	NUM
cord-102966-7vdz661d	198	13	with	with	ADP
cord-102966-7vdz661d	198	14	1/	1/	NUM
cord-102966-7vdz661d	198	15	=	=	NOUN
cord-102966-7vdz661d	198	16	,	,	PUNCT
cord-102966-7vdz661d	198	17	0	0	NUM
cord-102966-7vdz661d	198	18	≈	≈	NOUN
cord-102966-7vdz661d	198	19	1	1	NUM
cord-102966-7vdz661d	198	20	,	,	PUNCT
cord-102966-7vdz661d	198	21	and	and	CCONJ
cord-102966-7vdz661d	198	22	0	0	NUM
cord-102966-7vdz661d	199	1	≈	≈	PROPN
cord-102966-7vdz661d	199	2	0	0	NUM
cord-102966-7vdz661d	199	3	yields	yield	VERB
cord-102966-7vdz661d	199	4	eqn	eqn	PROPN
cord-102966-7vdz661d	199	5	.	.	PUNCT
cord-102966-7vdz661d	200	1	(	(	PUNCT
cord-102966-7vdz661d	200	2	19	19	NUM
cord-102966-7vdz661d	200	3	)	)	PUNCT
cord-102966-7vdz661d	200	4	.	.	PUNCT
cord-102966-7vdz661d	201	1	proof	proof	NOUN
cord-102966-7vdz661d	201	2	that	that	SCONJ
cord-102966-7vdz661d	201	3	the	the	DET
cord-102966-7vdz661d	201	4	standard	standard	ADJ
cord-102966-7vdz661d	201	5	sir	sir	PROPN
cord-102966-7vdz661d	201	6	model	model	NOUN
cord-102966-7vdz661d	201	7	also	also	ADV
cord-102966-7vdz661d	201	8	reaches	reach	VERB
cord-102966-7vdz661d	201	9	the	the	DET
cord-102966-7vdz661d	201	10	same	same	ADJ
cord-102966-7vdz661d	201	11	result	result	NOUN
cord-102966-7vdz661d	201	12	follows	follow	VERB
cord-102966-7vdz661d	201	13	the	the	DET
cord-102966-7vdz661d	201	14	same	same	ADJ
cord-102966-7vdz661d	201	15	pattern	pattern	NOUN
cord-102966-7vdz661d	201	16	and	and	CCONJ
cord-102966-7vdz661d	201	17	is	be	AUX
cord-102966-7vdz661d	201	18	omitted	omit	VERB
cord-102966-7vdz661d	201	19	for	for	ADP
cord-102966-7vdz661d	201	20	brevity	brevity	NOUN
cord-102966-7vdz661d	201	21	.	.	PUNCT
cord-102966-7vdz661d	202	1	therefore	therefore	ADV
cord-102966-7vdz661d	202	2	,	,	PUNCT
cord-102966-7vdz661d	202	3	the	the	DET
cord-102966-7vdz661d	202	4	terms	term	NOUN
cord-102966-7vdz661d	202	5	rapidly	rapidly	ADV
cord-102966-7vdz661d	202	6	decay	decay	VERB
cord-102966-7vdz661d	202	7	for	for	ADP
cord-102966-7vdz661d	202	8	≥	≥	NOUN
cord-102966-7vdz661d	202	9	1	1	NUM
cord-102966-7vdz661d	202	10	,	,	PUNCT
cord-102966-7vdz661d	202	11	and	and	CCONJ
cord-102966-7vdz661d	202	12	the	the	DET
cord-102966-7vdz661d	202	13	summation	summation	NOUN
cord-102966-7vdz661d	202	14	in	in	ADP
cord-102966-7vdz661d	202	15	eqn	eqn	PROPN
cord-102966-7vdz661d	202	16	.	.	PUNCT
cord-102966-7vdz661d	203	1	(	(	PUNCT
cord-102966-7vdz661d	203	2	65	65	NUM
cord-102966-7vdz661d	203	3	)	)	PUNCT
cord-102966-7vdz661d	203	4	quickly	quickly	ADV
cord-102966-7vdz661d	203	5	becomes	become	VERB
cord-102966-7vdz661d	203	6	approximately	approximately	ADV
cord-102966-7vdz661d	203	7	equal	equal	ADJ
cord-102966-7vdz661d	203	8	to	to	ADP
cord-102966-7vdz661d	203	9	.	.	PUNCT
cord-102966-7vdz661d	204	1	cc	cc	X
cord-102966-7vdz661d	204	2	-	-	PUNCT
cord-102966-7vdz661d	204	3	by	by	ADP
cord-102966-7vdz661d	204	4	-	-	PUNCT
cord-102966-7vdz661d	204	5	nc	nc	PROPN
cord-102966-7vdz661d	204	6	-	-	PUNCT
cord-102966-7vdz661d	204	7	nd	nd	PROPN
cord-102966-7vdz661d	204	8	4.0	4.0	NUM
cord-102966-7vdz661d	204	9	international	international	ADJ
cord-102966-7vdz661d	204	10	license	license	NOUN
cord-102966-7vdz661d	204	11	it	it	PRON
cord-102966-7vdz661d	204	12	is	be	AUX
cord-102966-7vdz661d	204	13	made	make	VERB
cord-102966-7vdz661d	204	14	available	available	ADJ
cord-102966-7vdz661d	204	15	under	under	ADP
cord-102966-7vdz661d	204	16	a	a	PRON
cord-102966-7vdz661d	204	17	is	be	AUX
cord-102966-7vdz661d	204	18	the	the	DET
cord-102966-7vdz661d	204	19	author	author	NOUN
cord-102966-7vdz661d	204	20	/	/	SYM
cord-102966-7vdz661d	204	21	funder	funder	NOUN
cord-102966-7vdz661d	204	22	,	,	PUNCT
cord-102966-7vdz661d	204	23	who	who	PRON
cord-102966-7vdz661d	204	24	has	have	AUX
cord-102966-7vdz661d	204	25	granted	grant	VERB
cord-102966-7vdz661d	204	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	204	27	a	a	DET
cord-102966-7vdz661d	204	28	license	license	NOUN
cord-102966-7vdz661d	204	29	to	to	PART
cord-102966-7vdz661d	204	30	display	display	VERB
cord-102966-7vdz661d	204	31	the	the	DET
cord-102966-7vdz661d	204	32	preprint	preprint	NOUN
cord-102966-7vdz661d	204	33	in	in	ADP
cord-102966-7vdz661d	204	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	204	35	.	.	PUNCT
cord-102966-7vdz661d	205	1	the	the	DET
cord-102966-7vdz661d	205	2	copyright	copyright	NOUN
cord-102966-7vdz661d	205	3	holder	holder	NOUN
cord-102966-7vdz661d	205	4	for	for	ADP
cord-102966-7vdz661d	205	5	this	this	DET
cord-102966-7vdz661d	205	6	preprint	preprint	NOUN
cord-102966-7vdz661d	205	7	this	this	DET
cord-102966-7vdz661d	205	8	version	version	NOUN
cord-102966-7vdz661d	205	9	posted	post	VERB
cord-102966-7vdz661d	205	10	may	may	PROPN
cord-102966-7vdz661d	205	11	1	1	NUM
cord-102966-7vdz661d	205	12	,	,	PUNCT
cord-102966-7vdz661d	205	13	2020	2020	NUM
cord-102966-7vdz661d	205	14	.	.	PUNCT
cord-102966-7vdz661d	205	15	.	.	PUNCT
cord-102966-7vdz661d	206	1	cc	cc	X
cord-102966-7vdz661d	206	2	-	-	PUNCT
cord-102966-7vdz661d	206	3	by	by	ADP
cord-102966-7vdz661d	206	4	-	-	PUNCT
cord-102966-7vdz661d	206	5	nc	nc	PROPN
cord-102966-7vdz661d	206	6	-	-	PUNCT
cord-102966-7vdz661d	206	7	nd	nd	PROPN
cord-102966-7vdz661d	206	8	4.0	4.0	NUM
cord-102966-7vdz661d	206	9	international	international	ADJ
cord-102966-7vdz661d	206	10	license	license	NOUN
cord-102966-7vdz661d	206	11	it	it	PRON
cord-102966-7vdz661d	206	12	is	be	AUX
cord-102966-7vdz661d	206	13	made	make	VERB
cord-102966-7vdz661d	206	14	available	available	ADJ
cord-102966-7vdz661d	206	15	under	under	ADP
cord-102966-7vdz661d	206	16	a	a	PRON
cord-102966-7vdz661d	206	17	is	be	AUX
cord-102966-7vdz661d	206	18	the	the	DET
cord-102966-7vdz661d	206	19	author	author	NOUN
cord-102966-7vdz661d	206	20	/	/	SYM
cord-102966-7vdz661d	206	21	funder	funder	NOUN
cord-102966-7vdz661d	206	22	,	,	PUNCT
cord-102966-7vdz661d	206	23	who	who	PRON
cord-102966-7vdz661d	206	24	has	have	AUX
cord-102966-7vdz661d	206	25	granted	grant	VERB
cord-102966-7vdz661d	206	26	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	206	27	a	a	DET
cord-102966-7vdz661d	206	28	license	license	NOUN
cord-102966-7vdz661d	206	29	to	to	PART
cord-102966-7vdz661d	206	30	display	display	VERB
cord-102966-7vdz661d	206	31	the	the	DET
cord-102966-7vdz661d	206	32	preprint	preprint	NOUN
cord-102966-7vdz661d	206	33	in	in	ADP
cord-102966-7vdz661d	206	34	perpetuity	perpetuity	NOUN
cord-102966-7vdz661d	206	35	.	.	PUNCT
cord-102966-7vdz661d	207	1	(	(	PUNCT
cord-102966-7vdz661d	207	2	which	which	PRON
cord-102966-7vdz661d	207	3	was	be	AUX
cord-102966-7vdz661d	207	4	not	not	PART
cord-102966-7vdz661d	207	5	certified	certify	VERB
cord-102966-7vdz661d	207	6	by	by	ADP
cord-102966-7vdz661d	207	7	peer	peer	NOUN
cord-102966-7vdz661d	207	8	review	review	NOUN
cord-102966-7vdz661d	207	9	)	)	PUNCT
cord-102966-7vdz661d	207	10	the	the	DET
cord-102966-7vdz661d	207	11	copyright	copyright	NOUN
cord-102966-7vdz661d	207	12	holder	holder	NOUN
cord-102966-7vdz661d	207	13	for	for	ADP
cord-102966-7vdz661d	207	14	this	this	DET
cord-102966-7vdz661d	207	15	preprint	preprint	NOUN
cord-102966-7vdz661d	207	16	this	this	DET
cord-102966-7vdz661d	207	17	version	version	NOUN
cord-102966-7vdz661d	207	18	posted	post	VERB
cord-102966-7vdz661d	207	19	may	may	PROPN
cord-102966-7vdz661d	207	20	1	1	NUM
cord-102966-7vdz661d	207	21	,	,	PUNCT
cord-102966-7vdz661d	207	22	2020	2020	NUM
cord-102966-7vdz661d	207	23	.	.	PUNCT
cord-102966-7vdz661d	207	24	.	.	PUNCT
cord-102966-7vdz661d	208	1	https://doi.org/10.1101/2020.04.26.20080960	https://doi.org/10.1101/2020.04.26.20080960	PROPN
cord-102966-7vdz661d	208	2	doi	doi	PROPN
cord-102966-7vdz661d	208	3	:	:	PUNCT
cord-102966-7vdz661d	208	4	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	208	5	preprint	preprint	VERB
cord-102966-7vdz661d	208	6	a	a	DET
cord-102966-7vdz661d	208	7	contribution	contribution	NOUN
cord-102966-7vdz661d	208	8	to	to	ADP
cord-102966-7vdz661d	208	9	the	the	DET
cord-102966-7vdz661d	208	10	mathematical	mathematical	ADJ
cord-102966-7vdz661d	208	11	theory	theory	NOUN
cord-102966-7vdz661d	208	12	of	of	ADP
cord-102966-7vdz661d	208	13	epidemics	epidemic	NOUN
cord-102966-7vdz661d	208	14	modeling	model	VERB
cord-102966-7vdz661d	208	15	infectious	infectious	ADJ
cord-102966-7vdz661d	208	16	diseases	disease	NOUN
cord-102966-7vdz661d	208	17	in	in	ADP
cord-102966-7vdz661d	208	18	humans	human	NOUN
cord-102966-7vdz661d	208	19	and	and	CCONJ
cord-102966-7vdz661d	208	20	animals	animal	NOUN
cord-102966-7vdz661d	208	21	population	population	NOUN
cord-102966-7vdz661d	208	22	biology	biology	NOUN
cord-102966-7vdz661d	208	23	of	of	ADP
cord-102966-7vdz661d	208	24	infectious	infectious	ADJ
cord-102966-7vdz661d	208	25	diseases	disease	NOUN
cord-102966-7vdz661d	208	26	:	:	PUNCT
cord-102966-7vdz661d	208	27	part	part	NOUN
cord-102966-7vdz661d	208	28	i	i	PROPN
cord-102966-7vdz661d	208	29	mathematical	mathematical	ADJ
cord-102966-7vdz661d	208	30	biology	biology	NOUN
cord-102966-7vdz661d	208	31	:	:	PUNCT
cord-102966-7vdz661d	208	32	i.	i.	PROPN
cord-102966-7vdz661d	208	33	an	an	DET
cord-102966-7vdz661d	208	34	introduction	introduction	NOUN
cord-102966-7vdz661d	208	35	infectious	infectious	ADJ
cord-102966-7vdz661d	208	36	diseases	disease	NOUN
cord-102966-7vdz661d	208	37	of	of	ADP
cord-102966-7vdz661d	208	38	humans	human	NOUN
cord-102966-7vdz661d	208	39	:	:	PUNCT
cord-102966-7vdz661d	208	40	dynamics	dynamic	NOUN
cord-102966-7vdz661d	208	41	and	and	CCONJ
cord-102966-7vdz661d	208	42	control	control	NOUN
cord-102966-7vdz661d	208	43	evolving	evolve	VERB
cord-102966-7vdz661d	208	44	epidemiology	epidemiology	NOUN
cord-102966-7vdz661d	208	45	and	and	CCONJ
cord-102966-7vdz661d	208	46	impact	impact	NOUN
cord-102966-7vdz661d	208	47	of	of	ADP
cord-102966-7vdz661d	208	48	non	non	ADJ
cord-102966-7vdz661d	208	49	-	-	ADJ
cord-102966-7vdz661d	208	50	pharmaceutical	pharmaceutical	ADJ
cord-102966-7vdz661d	208	51	interventions	intervention	NOUN
cord-102966-7vdz661d	208	52	on	on	ADP
cord-102966-7vdz661d	208	53	the	the	DET
cord-102966-7vdz661d	208	54	outbreak	outbreak	NOUN
cord-102966-7vdz661d	208	55	of	of	ADP
cord-102966-7vdz661d	208	56	coronavirus	coronavirus	PROPN
cord-102966-7vdz661d	208	57	disease	disease	NOUN
cord-102966-7vdz661d	208	58	exact	exact	ADJ
cord-102966-7vdz661d	208	59	analytical	analytical	ADJ
cord-102966-7vdz661d	208	60	solutions	solution	NOUN
cord-102966-7vdz661d	208	61	of	of	ADP
cord-102966-7vdz661d	208	62	the	the	DET
cord-102966-7vdz661d	208	63	susceptible	susceptible	ADJ
cord-102966-7vdz661d	208	64	-	-	PUNCT
cord-102966-7vdz661d	208	65	infected	infect	VERB
cord-102966-7vdz661d	208	66	-	-	PUNCT
cord-102966-7vdz661d	208	67	recovered	recover	VERB
cord-102966-7vdz661d	208	68	(	(	PUNCT
cord-102966-7vdz661d	208	69	sir	sir	PROPN
cord-102966-7vdz661d	208	70	)	)	PUNCT
cord-102966-7vdz661d	208	71	epidemic	epidemic	NOUN
cord-102966-7vdz661d	208	72	model	model	NOUN
cord-102966-7vdz661d	208	73	and	and	CCONJ
cord-102966-7vdz661d	208	74	of	of	ADP
cord-102966-7vdz661d	208	75	the	the	DET
cord-102966-7vdz661d	208	76	sir	sir	PROPN
cord-102966-7vdz661d	208	77	model	model	NOUN
cord-102966-7vdz661d	208	78	with	with	ADP
cord-102966-7vdz661d	208	79	equal	equal	ADJ
cord-102966-7vdz661d	208	80	death	death	NOUN
cord-102966-7vdz661d	208	81	and	and	CCONJ
cord-102966-7vdz661d	208	82	birth	birth	NOUN
cord-102966-7vdz661d	208	83	rates	rate	VERB
cord-102966-7vdz661d	208	84	the	the	DET
cord-102966-7vdz661d	208	85	incubation	incubation	NOUN
cord-102966-7vdz661d	208	86	period	period	NOUN
cord-102966-7vdz661d	208	87	of	of	ADP
cord-102966-7vdz661d	208	88	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	208	89	disease	disease	NOUN
cord-102966-7vdz661d	208	90	2019	2019	NUM
cord-102966-7vdz661d	208	91	(	(	PUNCT
cord-102966-7vdz661d	208	92	covid-19	covid-19	PROPN
cord-102966-7vdz661d	208	93	)	)	PUNCT
cord-102966-7vdz661d	208	94	from	from	ADP
cord-102966-7vdz661d	208	95	publicly	publicly	ADV
cord-102966-7vdz661d	208	96	reported	report	VERB
cord-102966-7vdz661d	208	97	confirmed	confirmed	ADJ
cord-102966-7vdz661d	208	98	cases	case	NOUN
cord-102966-7vdz661d	208	99	:	:	PUNCT
cord-102966-7vdz661d	208	100	estimation	estimation	NOUN
cord-102966-7vdz661d	208	101	and	and	CCONJ
cord-102966-7vdz661d	208	102	application	application	NOUN
cord-102966-7vdz661d	208	103	risk	risk	NOUN
cord-102966-7vdz661d	208	104	assessment	assessment	NOUN
cord-102966-7vdz661d	208	105	of	of	ADP
cord-102966-7vdz661d	208	106	novel	novel	NOUN
cord-102966-7vdz661d	208	107	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	208	108	covid-19	covid-19	PROPN
cord-102966-7vdz661d	208	109	outbreaks	outbreak	NOUN
cord-102966-7vdz661d	208	110	outside	outside	ADP
cord-102966-7vdz661d	208	111	china	china	PROPN
cord-102966-7vdz661d	208	112	an	an	DET
cord-102966-7vdz661d	208	113	interactive	interactive	ADJ
cord-102966-7vdz661d	208	114	web	web	NOUN
cord-102966-7vdz661d	208	115	-	-	PUNCT
cord-102966-7vdz661d	208	116	based	base	VERB
cord-102966-7vdz661d	208	117	dashboard	dashboard	NOUN
cord-102966-7vdz661d	208	118	to	to	PART
cord-102966-7vdz661d	208	119	track	track	VERB
cord-102966-7vdz661d	208	120	covid-19	covid-19	PROPN
cord-102966-7vdz661d	208	121	in	in	ADP
cord-102966-7vdz661d	208	122	real	real	ADJ
cord-102966-7vdz661d	208	123	time	time	NOUN
cord-102966-7vdz661d	208	124	chemical	chemical	NOUN
cord-102966-7vdz661d	208	125	process	process	NOUN
cord-102966-7vdz661d	208	126	control	control	NOUN
cord-102966-7vdz661d	208	127	:	:	PUNCT
cord-102966-7vdz661d	208	128	an	an	DET
cord-102966-7vdz661d	208	129	introduction	introduction	NOUN
cord-102966-7vdz661d	208	130	to	to	ADP
cord-102966-7vdz661d	208	131	theory	theory	NOUN
cord-102966-7vdz661d	208	132	and	and	CCONJ
cord-102966-7vdz661d	208	133	practice	practice	NOUN
cord-102966-7vdz661d	208	134	delay	delay	VERB
cord-102966-7vdz661d	208	135	differential	differential	ADJ
cord-102966-7vdz661d	208	136	equations	equation	NOUN
cord-102966-7vdz661d	208	137	with	with	ADP
cord-102966-7vdz661d	208	138	applications	application	NOUN
cord-102966-7vdz661d	208	139	in	in	ADP
cord-102966-7vdz661d	208	140	population	population	NOUN
cord-102966-7vdz661d	208	141	dynamics	dynamic	NOUN
cord-102966-7vdz661d	208	142	stability	stability	NOUN
cord-102966-7vdz661d	208	143	and	and	CCONJ
cord-102966-7vdz661d	208	144	oscillations	oscillation	NOUN
cord-102966-7vdz661d	208	145	in	in	ADP
cord-102966-7vdz661d	208	146	delay	delay	NOUN
cord-102966-7vdz661d	208	147	differential	differential	ADJ
cord-102966-7vdz661d	208	148	equations	equation	NOUN
cord-102966-7vdz661d	208	149	of	of	ADP
cord-102966-7vdz661d	208	150	population	population	NOUN
cord-102966-7vdz661d	208	151	dynamics	dynamic	NOUN
cord-102966-7vdz661d	208	152	on	on	ADP
cord-102966-7vdz661d	208	153	the	the	DET
cord-102966-7vdz661d	208	154	lambertw	lambertw	NOUN
cord-102966-7vdz661d	208	155	function	function	VERB
cord-102966-7vdz661d	208	156	the	the	DET
cord-102966-7vdz661d	208	157	lambert	lambert	NOUN
cord-102966-7vdz661d	208	158	function	function	NOUN
cord-102966-7vdz661d	208	159	belongs	belong	VERB
cord-102966-7vdz661d	208	160	in	in	ADP
cord-102966-7vdz661d	208	161	the	the	DET
cord-102966-7vdz661d	208	162	function	function	NOUN
cord-102966-7vdz661d	208	163	hall	hall	NOUN
cord-102966-7vdz661d	208	164	of	of	ADP
cord-102966-7vdz661d	208	165	fame	fame	PROPN
cord-102966-7vdz661d	208	166	.	.	PUNCT
cord-102966-7vdz661d	209	1	chemical	chemical	PROPN
cord-102966-7vdz661d	209	2	engineering	engineering	PROPN
cord-102966-7vdz661d	209	3	education	education	NOUN
cord-102966-7vdz661d	209	4	in	in	ADP
cord-102966-7vdz661d	209	5	preparation	preparation	NOUN
cord-102966-7vdz661d	209	6	report	report	NOUN
cord-102966-7vdz661d	209	7	9	9	NUM
cord-102966-7vdz661d	209	8	-impact	-impact	NOUN
cord-102966-7vdz661d	209	9	of	of	ADP
cord-102966-7vdz661d	209	10	nonpharmaceutical	nonpharmaceutical	ADJ
cord-102966-7vdz661d	209	11	interventions	intervention	NOUN
cord-102966-7vdz661d	209	12	(	(	PUNCT
cord-102966-7vdz661d	209	13	npis	npis	PROPN
cord-102966-7vdz661d	209	14	)	)	PUNCT
cord-102966-7vdz661d	209	15	to	to	PART
cord-102966-7vdz661d	209	16	reduce	reduce	VERB
cord-102966-7vdz661d	209	17	covid-19	covid-19	PROPN
cord-102966-7vdz661d	209	18	mortality	mortality	NOUN
cord-102966-7vdz661d	209	19	and	and	CCONJ
cord-102966-7vdz661d	209	20	healthcare	healthcare	PROPN
cord-102966-7vdz661d	209	21	demand	demand	PROPN
cord-102966-7vdz661d	209	22	institute	institute	PROPN
cord-102966-7vdz661d	209	23	for	for	ADP
cord-102966-7vdz661d	209	24	health	health	NOUN
cord-102966-7vdz661d	209	25	metrics	metric	NOUN
cord-102966-7vdz661d	209	26	and	and	CCONJ
cord-102966-7vdz661d	209	27	evaluation	evaluation	NOUN
cord-102966-7vdz661d	209	28	(	(	PUNCT
cord-102966-7vdz661d	209	29	ihme	ihme	NOUN
cord-102966-7vdz661d	209	30	)	)	PUNCT
cord-102966-7vdz661d	209	31	<	<	X
cord-102966-7vdz661d	209	32	covid-19	covid-19	PUNCT
cord-102966-7vdz661d	209	33	projections	projection	NOUN
cord-102966-7vdz661d	209	34	assuming	assume	VERB
cord-102966-7vdz661d	209	35	full	full	ADJ
cord-102966-7vdz661d	209	36	social	social	ADJ
cord-102966-7vdz661d	209	37	distancing	distancing	NOUN
cord-102966-7vdz661d	209	38	through	through	ADP
cord-102966-7vdz661d	209	39	early	early	ADJ
cord-102966-7vdz661d	209	40	dynamics	dynamic	NOUN
cord-102966-7vdz661d	209	41	of	of	ADP
cord-102966-7vdz661d	209	42	transmission	transmission	NOUN
cord-102966-7vdz661d	209	43	and	and	CCONJ
cord-102966-7vdz661d	209	44	control	control	NOUN
cord-102966-7vdz661d	209	45	of	of	ADP
cord-102966-7vdz661d	209	46	covid-19	covid-19	PROPN
cord-102966-7vdz661d	209	47	:	:	PUNCT
cord-102966-7vdz661d	209	48	a	a	DET
cord-102966-7vdz661d	209	49	mathematical	mathematical	ADJ
cord-102966-7vdz661d	209	50	modelling	modelling	NOUN
cord-102966-7vdz661d	209	51	study	study	NOUN
cord-102966-7vdz661d	209	52	.	.	PUNCT
cord-102966-7vdz661d	210	1	the	the	DET
cord-102966-7vdz661d	210	2	lancet	lancet	PROPN
cord-102966-7vdz661d	210	3	infectious	infectious	ADJ
cord-102966-7vdz661d	210	4	diseases	disease	NOUN
cord-102966-7vdz661d	210	5	evolving	evolve	VERB
cord-102966-7vdz661d	210	6	epidemiology	epidemiology	NOUN
cord-102966-7vdz661d	210	7	and	and	CCONJ
cord-102966-7vdz661d	210	8	transmission	transmission	NOUN
cord-102966-7vdz661d	210	9	dynamics	dynamic	NOUN
cord-102966-7vdz661d	210	10	of	of	ADP
cord-102966-7vdz661d	210	11	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	210	12	disease	disease	NOUN
cord-102966-7vdz661d	210	13	2019	2019	NUM
cord-102966-7vdz661d	210	14	outside	outside	ADP
cord-102966-7vdz661d	210	15	hubei	hubei	NOUN
cord-102966-7vdz661d	210	16	province	province	NOUN
cord-102966-7vdz661d	210	17	,	,	PUNCT
cord-102966-7vdz661d	210	18	china	china	PROPN
cord-102966-7vdz661d	210	19	:	:	PUNCT
cord-102966-7vdz661d	210	20	a	a	DET
cord-102966-7vdz661d	210	21	descriptive	descriptive	ADJ
cord-102966-7vdz661d	210	22	and	and	CCONJ
cord-102966-7vdz661d	210	23	modelling	modelling	NOUN
cord-102966-7vdz661d	210	24	study	study	NOUN
cord-102966-7vdz661d	210	25	.	.	PUNCT
cord-102966-7vdz661d	211	1	the	the	DET
cord-102966-7vdz661d	211	2	lancet	lancet	PROPN
cord-102966-7vdz661d	211	3	infectious	infectious	ADJ
cord-102966-7vdz661d	211	4	diseases	disease	NOUN
cord-102966-7vdz661d	211	5	an	an	DET
cord-102966-7vdz661d	211	6	introduction	introduction	NOUN
cord-102966-7vdz661d	211	7	to	to	PART
cord-102966-7vdz661d	211	8	compartmental	compartmental	VERB
cord-102966-7vdz661d	211	9	modeling	modeling	NOUN
cord-102966-7vdz661d	211	10	for	for	ADP
cord-102966-7vdz661d	211	11	the	the	DET
cord-102966-7vdz661d	211	12	budding	bud	VERB
cord-102966-7vdz661d	211	13	infectious	infectious	ADJ
cord-102966-7vdz661d	211	14	disease	disease	NOUN
cord-102966-7vdz661d	211	15	modeler	modeler	NOUN
cord-102966-7vdz661d	211	16	using	use	VERB
cord-102966-7vdz661d	211	17	feedback	feedback	NOUN
cord-102966-7vdz661d	211	18	on	on	ADP
cord-102966-7vdz661d	211	19	symptomatic	symptomatic	ADJ
cord-102966-7vdz661d	211	20	infections	infection	NOUN
cord-102966-7vdz661d	211	21	to	to	PART
cord-102966-7vdz661d	211	22	contain	contain	VERB
cord-102966-7vdz661d	211	23	the	the	DET
cord-102966-7vdz661d	211	24	coronavirus	coronavirus	NOUN
cord-102966-7vdz661d	211	25	epidemic	epidemic	NOUN
cord-102966-7vdz661d	211	26	:	:	PUNCT
cord-102966-7vdz661d	211	27	insight	insight	NOUN
cord-102966-7vdz661d	211	28	from	from	ADP
cord-102966-7vdz661d	211	29	a	a	DET
cord-102966-7vdz661d	211	30	spir	spir	NOUN
cord-102966-7vdz661d	211	31	model	model	NOUN
cord-102966-7vdz661d	211	32	.	.	PUNCT
cord-102966-7vdz661d	212	1	medrxiv	medrxiv	PROPN
cord-102966-7vdz661d	212	2	introducing	introduce	VERB
cord-102966-7vdz661d	212	3	the	the	DET
cord-102966-7vdz661d	212	4	new	new	ADJ
cord-102966-7vdz661d	212	5	variables	variable	NOUN
cord-102966-7vdz661d	212	6	1	1	NUM
cord-102966-7vdz661d	212	7	≝	≝	PROPN
cord-102966-7vdz661d	212	8	,	,	PUNCT
cord-102966-7vdz661d	212	9	2	2	NUM
cord-102966-7vdz661d	212	10	≝	≝	PROPN
cord-102966-7vdz661d	212	11	′	′	PROPN
cord-102966-7vdz661d	213	1	immediately	immediately	ADV
cord-102966-7vdz661d	213	2	yields	yield	VERB
cord-102966-7vdz661d	213	3	eqn	eqn	PROPN
cord-102966-7vdz661d	213	4	.	.	PUNCT
cord-102966-7vdz661d	214	1	(	(	PUNCT
cord-102966-7vdz661d	214	2	14	14	NUM
cord-102966-7vdz661d	214	3	)	)	PUNCT
cord-102966-7vdz661d	214	4	.eqn	.eqn	PUNCT
cord-102966-7vdz661d	214	5	.	.	PUNCT
cord-102966-7vdz661d	215	1	(	(	PUNCT
cord-102966-7vdz661d	215	2	13	13	NUM
cord-102966-7vdz661d	215	3	)	)	PUNCT
cord-102966-7vdz661d	215	4	can	can	AUX
cord-102966-7vdz661d	215	5	be	be	AUX
cord-102966-7vdz661d	215	6	proved	prove	VERB
cord-102966-7vdz661d	215	7	similarly.to	similarly.to	X
cord-102966-7vdz661d	215	8	prove	prove	VERB
cord-102966-7vdz661d	215	9	eqn	eqn	NOUN
cord-102966-7vdz661d	215	10	.	.	PUNCT
cord-102966-7vdz661d	216	1	(	(	PUNCT
cord-102966-7vdz661d	216	2	16	16	NUM
cord-102966-7vdz661d	216	3	)	)	PUNCT
cord-102966-7vdz661d	216	4	observe	observe	VERB
cord-102966-7vdz661d	216	5	that	that	SCONJ
cord-102966-7vdz661d	216	6	if	if	SCONJ
cord-102966-7vdz661d	216	7	(	(	PUNCT
cord-102966-7vdz661d	216	8	0	0	NUM
cord-102966-7vdz661d	216	9	)	)	PUNCT
cord-102966-7vdz661d	216	10	changes	change	NOUN
cord-102966-7vdz661d	216	11	from	from	ADP
cord-102966-7vdz661d	216	12	its	its	PRON
cord-102966-7vdz661d	216	13	previous	previous	ADJ
cord-102966-7vdz661d	216	14	value	value	NOUN
cord-102966-7vdz661d	216	15	of	of	ADP
cord-102966-7vdz661d	216	16	1	1	NUM
cord-102966-7vdz661d	216	17	by	by	ADP
cord-102966-7vdz661d	216	18	a	a	DET
cord-102966-7vdz661d	216	19	step	step	NOUN
cord-102966-7vdz661d	216	20	,	,	PUNCT
cord-102966-7vdz661d	216	21	−	−	PROPN
cord-102966-7vdz661d	216	22	,	,	PUNCT
cord-102966-7vdz661d	216	23	then	then	ADV
cord-102966-7vdz661d	216	24	(	(	PUNCT
cord-102966-7vdz661d	216	25	)	)	PUNCT
cord-102966-7vdz661d	216	26	=	=	NOUN
cord-102966-7vdz661d	216	27	−	−	NOUN
cord-102966-7vdz661d	216	28	/	/	PUNCT
cord-102966-7vdz661d	216	29	.	.	PUNCT
cord-102966-7vdz661d	217	1	because	because	SCONJ
cord-102966-7vdz661d	217	2	(	(	PUNCT
cord-102966-7vdz661d	217	3	≤	≤	NOUN
cord-102966-7vdz661d	217	4	0	0	NUM
cord-102966-7vdz661d	217	5	)	)	PUNCT
cord-102966-7vdz661d	217	6	=	=	NOUN
cord-102966-7vdz661d	217	7	0	0	NUM
cord-102966-7vdz661d	217	8	and	and	CCONJ
cord-102966-7vdz661d	217	9	+	+	NUM
cord-102966-7vdz661d	217	10	+	+	SYM
cord-102966-7vdz661d	217	11	=	=	NOUN
cord-102966-7vdz661d	217	12	1	1	NUM
cord-102966-7vdz661d	217	13	,	,	PUNCT
cord-102966-7vdz661d	217	14	it	it	PRON
cord-102966-7vdz661d	217	15	follows	follow	VERB
cord-102966-7vdz661d	217	16	that	that	SCONJ
cord-102966-7vdz661d	217	17	jumps	jump	VERB
cord-102966-7vdz661d	217	18	from	from	ADP
cord-102966-7vdz661d	217	19	(	(	PUNCT
cord-102966-7vdz661d	217	20	<	<	X
cord-102966-7vdz661d	217	21	0	0	NUM
cord-102966-7vdz661d	217	22	)	)	PUNCT
cord-102966-7vdz661d	217	23	=	=	SYM
cord-102966-7vdz661d	217	24	0	0	NUM
cord-102966-7vdz661d	217	25	to	to	ADP
cord-102966-7vdz661d	217	26	(	(	PUNCT
cord-102966-7vdz661d	217	27	0	0	NUM
cord-102966-7vdz661d	217	28	)	)	PUNCT
cord-102966-7vdz661d	217	29	=	=	X
cord-102966-7vdz661d	217	30	.	.	PUNCT
cord-102966-7vdz661d	218	1	therefore	therefore	ADV
cord-102966-7vdz661d	218	2	,	,	PUNCT
cord-102966-7vdz661d	218	3	the	the	DET
cord-102966-7vdz661d	218	4	above	above	ADJ
cord-102966-7vdz661d	218	5	eqn	eqn	NOUN
cord-102966-7vdz661d	218	6	.	.	PUNCT
cord-102966-7vdz661d	219	1	(	(	PUNCT
cord-102966-7vdz661d	219	2	54	54	NUM
cord-102966-7vdz661d	219	3	)	)	PUNCT
cord-102966-7vdz661d	219	4	yields	yield	NOUN
