id	sid	tid	token	lemma	pos
cord-152881-k1hx1m61	1	1	key	key	ADJ
cord-152881-k1hx1m61	1	2	:	:	PUNCT
cord-152881-k1hx1m61	1	3	cord-152881	cord-152881	NUM
cord-152881-k1hx1m61	1	4	-	-	PUNCT
cord-152881-k1hx1m61	1	5	k1hx1m61	k1hx1m61	NOUN
cord-152881-k1hx1m61	1	6	authors	author	NOUN
cord-152881-k1hx1m61	1	7	:	:	PUNCT
cord-152881-k1hx1m61	1	8	toda	toda	PROPN
cord-152881-k1hx1m61	1	9	,	,	PUNCT
cord-152881-k1hx1m61	1	10	alexis	alexis	PROPN
cord-152881-k1hx1m61	1	11	akira	akira	PROPN
cord-152881-k1hx1m61	1	12	title	title	PROPN
cord-152881-k1hx1m61	1	13	:	:	PUNCT
cord-152881-k1hx1m61	1	14	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	1	15	-	-	PUNCT
cord-152881-k1hx1m61	1	16	infected	infect	VERB
cord-152881-k1hx1m61	1	17	-	-	PUNCT
cord-152881-k1hx1m61	1	18	recovered	recover	VERB
cord-152881-k1hx1m61	1	19	(	(	PUNCT
cord-152881-k1hx1m61	1	20	sir	sir	PROPN
cord-152881-k1hx1m61	1	21	)	)	PUNCT
cord-152881-k1hx1m61	1	22	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	1	23	of	of	ADP
cord-152881-k1hx1m61	1	24	covid-19	covid-19	NUM
cord-152881-k1hx1m61	1	25	and	and	CCONJ
cord-152881-k1hx1m61	1	26	economic	economic	ADJ
cord-152881-k1hx1m61	1	27	impact	impact	NOUN
cord-152881-k1hx1m61	1	28	date	date	NOUN
cord-152881-k1hx1m61	1	29	:	:	PUNCT
cord-152881-k1hx1m61	1	30	2020	2020	NUM
cord-152881-k1hx1m61	1	31	-	-	SYM
cord-152881-k1hx1m61	1	32	03	03	NUM
cord-152881-k1hx1m61	1	33	-	-	PUNCT
cord-152881-k1hx1m61	1	34	25	25	NUM
cord-152881-k1hx1m61	1	35	journal	journal	NOUN
cord-152881-k1hx1m61	1	36	:	:	PUNCT
cord-152881-k1hx1m61	1	37	nan	nan	PROPN
cord-152881-k1hx1m61	1	38	doi	doi	PROPN
cord-152881-k1hx1m61	1	39	:	:	PUNCT
cord-152881-k1hx1m61	1	40	nan	nan	PROPN
cord-152881-k1hx1m61	1	41	sha	shall	AUX
cord-152881-k1hx1m61	1	42	:	:	PUNCT
cord-152881-k1hx1m61	1	43	doc_id	doc_id	X
cord-152881-k1hx1m61	1	44	:	:	PUNCT
cord-152881-k1hx1m61	1	45	152881	152881	NUM
cord-152881-k1hx1m61	1	46	cord_uid	cord_uid	PROPN
cord-152881-k1hx1m61	1	47	:	:	PUNCT
cord-152881-k1hx1m61	1	48	k1hx1m61	k1hx1m61	PROPN
cord-152881-k1hx1m61	1	49	i	i	PRON
cord-152881-k1hx1m61	1	50	estimate	estimate	VERB
cord-152881-k1hx1m61	1	51	the	the	DET
cord-152881-k1hx1m61	1	52	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	1	53	-	-	PUNCT
cord-152881-k1hx1m61	1	54	infected	infect	VERB
cord-152881-k1hx1m61	1	55	-	-	PUNCT
cord-152881-k1hx1m61	1	56	recovered	recover	VERB
cord-152881-k1hx1m61	1	57	(	(	PUNCT
cord-152881-k1hx1m61	1	58	sir	sir	PROPN
cord-152881-k1hx1m61	1	59	)	)	PUNCT
cord-152881-k1hx1m61	1	60	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	1	61	model	model	NOUN
cord-152881-k1hx1m61	1	62	for	for	ADP
cord-152881-k1hx1m61	1	63	coronavirus	coronavirus	PROPN
cord-152881-k1hx1m61	1	64	disease	disease	NOUN
cord-152881-k1hx1m61	1	65	2019	2019	NUM
cord-152881-k1hx1m61	1	66	(	(	PUNCT
cord-152881-k1hx1m61	1	67	covid-19	covid-19	NUM
cord-152881-k1hx1m61	1	68	)	)	PUNCT
cord-152881-k1hx1m61	1	69	.	.	PUNCT
cord-152881-k1hx1m61	2	1	the	the	DET
cord-152881-k1hx1m61	2	2	transmission	transmission	NOUN
cord-152881-k1hx1m61	2	3	rate	rate	NOUN
cord-152881-k1hx1m61	2	4	is	be	AUX
cord-152881-k1hx1m61	2	5	heterogeneous	heterogeneous	ADJ
cord-152881-k1hx1m61	2	6	across	across	ADP
cord-152881-k1hx1m61	2	7	countries	country	NOUN
cord-152881-k1hx1m61	2	8	and	and	CCONJ
cord-152881-k1hx1m61	2	9	far	far	ADV
cord-152881-k1hx1m61	2	10	exceeds	exceed	VERB
cord-152881-k1hx1m61	2	11	the	the	DET
cord-152881-k1hx1m61	2	12	recovery	recovery	NOUN
cord-152881-k1hx1m61	2	13	rate	rate	NOUN
cord-152881-k1hx1m61	2	14	,	,	PUNCT
cord-152881-k1hx1m61	2	15	which	which	PRON
cord-152881-k1hx1m61	2	16	enables	enable	VERB
cord-152881-k1hx1m61	2	17	a	a	DET
cord-152881-k1hx1m61	2	18	fast	fast	ADJ
cord-152881-k1hx1m61	2	19	spread	spread	NOUN
cord-152881-k1hx1m61	2	20	.	.	PUNCT
cord-152881-k1hx1m61	3	1	in	in	ADP
cord-152881-k1hx1m61	3	2	the	the	DET
cord-152881-k1hx1m61	3	3	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	3	4	model	model	NOUN
cord-152881-k1hx1m61	3	5	,	,	PUNCT
cord-152881-k1hx1m61	3	6	28	28	NUM
cord-152881-k1hx1m61	3	7	%	%	NOUN
cord-152881-k1hx1m61	3	8	of	of	ADP
cord-152881-k1hx1m61	3	9	the	the	DET
cord-152881-k1hx1m61	3	10	population	population	NOUN
cord-152881-k1hx1m61	3	11	may	may	AUX
cord-152881-k1hx1m61	3	12	be	be	AUX
cord-152881-k1hx1m61	3	13	simultaneously	simultaneously	ADV
cord-152881-k1hx1m61	3	14	infected	infect	VERB
cord-152881-k1hx1m61	3	15	at	at	ADP
cord-152881-k1hx1m61	3	16	the	the	DET
cord-152881-k1hx1m61	3	17	peak	peak	NOUN
cord-152881-k1hx1m61	3	18	,	,	PUNCT
cord-152881-k1hx1m61	3	19	potentially	potentially	ADV
cord-152881-k1hx1m61	3	20	overwhelming	overwhelm	VERB
cord-152881-k1hx1m61	3	21	the	the	DET
cord-152881-k1hx1m61	3	22	healthcare	healthcare	NOUN
cord-152881-k1hx1m61	3	23	system	system	NOUN
cord-152881-k1hx1m61	3	24	.	.	PUNCT
cord-152881-k1hx1m61	4	1	the	the	DET
cord-152881-k1hx1m61	4	2	peak	peak	NOUN
cord-152881-k1hx1m61	4	3	reduces	reduce	VERB
cord-152881-k1hx1m61	4	4	to	to	ADP
cord-152881-k1hx1m61	4	5	6.2	6.2	NUM
cord-152881-k1hx1m61	4	6	%	%	NOUN
cord-152881-k1hx1m61	4	7	under	under	ADP
cord-152881-k1hx1m61	4	8	the	the	DET
cord-152881-k1hx1m61	4	9	optimal	optimal	ADJ
cord-152881-k1hx1m61	4	10	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	4	11	policy	policy	NOUN
cord-152881-k1hx1m61	4	12	that	that	PRON
cord-152881-k1hx1m61	4	13	controls	control	VERB
cord-152881-k1hx1m61	4	14	the	the	DET
cord-152881-k1hx1m61	4	15	timing	timing	NOUN
cord-152881-k1hx1m61	4	16	and	and	CCONJ
cord-152881-k1hx1m61	4	17	intensity	intensity	NOUN
cord-152881-k1hx1m61	4	18	of	of	ADP
cord-152881-k1hx1m61	4	19	social	social	ADJ
cord-152881-k1hx1m61	4	20	distancing	distancing	NOUN
cord-152881-k1hx1m61	4	21	.	.	PUNCT
cord-152881-k1hx1m61	5	1	a	a	DET
cord-152881-k1hx1m61	5	2	stylized	stylized	ADJ
cord-152881-k1hx1m61	5	3	asset	asset	NOUN
cord-152881-k1hx1m61	5	4	pricing	pricing	NOUN
cord-152881-k1hx1m61	5	5	model	model	NOUN
cord-152881-k1hx1m61	5	6	suggests	suggest	VERB
cord-152881-k1hx1m61	5	7	that	that	SCONJ
cord-152881-k1hx1m61	5	8	the	the	DET
cord-152881-k1hx1m61	5	9	stock	stock	NOUN
cord-152881-k1hx1m61	5	10	price	price	NOUN
cord-152881-k1hx1m61	5	11	temporarily	temporarily	ADV
cord-152881-k1hx1m61	5	12	decreases	decrease	VERB
cord-152881-k1hx1m61	5	13	by	by	ADP
cord-152881-k1hx1m61	5	14	50	50	NUM
cord-152881-k1hx1m61	5	15	%	%	NOUN
cord-152881-k1hx1m61	5	16	in	in	ADP
cord-152881-k1hx1m61	5	17	the	the	DET
cord-152881-k1hx1m61	5	18	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	5	19	case	case	NOUN
cord-152881-k1hx1m61	5	20	but	but	CCONJ
cord-152881-k1hx1m61	5	21	shows	show	VERB
cord-152881-k1hx1m61	5	22	a	a	DET
cord-152881-k1hx1m61	5	23	w	w	NOUN
cord-152881-k1hx1m61	5	24	-	-	PUNCT
cord-152881-k1hx1m61	5	25	shaped	shape	VERB
cord-152881-k1hx1m61	5	26	,	,	PUNCT
cord-152881-k1hx1m61	5	27	moderate	moderate	ADJ
cord-152881-k1hx1m61	5	28	but	but	CCONJ
cord-152881-k1hx1m61	5	29	longer	long	ADJ
cord-152881-k1hx1m61	5	30	bear	bear	VERB
cord-152881-k1hx1m61	5	31	market	market	NOUN
cord-152881-k1hx1m61	5	32	under	under	ADP
cord-152881-k1hx1m61	5	33	the	the	DET
cord-152881-k1hx1m61	5	34	optimal	optimal	ADJ
cord-152881-k1hx1m61	5	35	policy	policy	NOUN
cord-152881-k1hx1m61	5	36	.	.	PUNCT
cord-152881-k1hx1m61	6	1	the	the	DET
cord-152881-k1hx1m61	6	2	novel	novel	ADJ
cord-152881-k1hx1m61	6	3	coronavirus	coronavirus	NOUN
cord-152881-k1hx1m61	6	4	disease	disease	NOUN
cord-152881-k1hx1m61	6	5	that	that	PRON
cord-152881-k1hx1m61	6	6	was	be	AUX
cord-152881-k1hx1m61	6	7	first	first	ADV
cord-152881-k1hx1m61	6	8	reported	report	VERB
cord-152881-k1hx1m61	6	9	in	in	ADP
cord-152881-k1hx1m61	6	10	wuhan	wuhan	PROPN
cord-152881-k1hx1m61	6	11	,	,	PUNCT
cord-152881-k1hx1m61	6	12	china	china	PROPN
cord-152881-k1hx1m61	6	13	in	in	ADP
cord-152881-k1hx1m61	6	14	december	december	PROPN
cord-152881-k1hx1m61	6	15	2019	2019	NUM
cord-152881-k1hx1m61	6	16	(	(	PUNCT
cord-152881-k1hx1m61	6	17	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	6	18	)	)	PUNCT
cord-152881-k1hx1m61	6	19	is	be	AUX
cord-152881-k1hx1m61	6	20	quickly	quickly	ADV
cord-152881-k1hx1m61	6	21	spreading	spread	VERB
cord-152881-k1hx1m61	6	22	around	around	ADP
cord-152881-k1hx1m61	6	23	the	the	DET
cord-152881-k1hx1m61	6	24	world	world	NOUN
cord-152881-k1hx1m61	6	25	.	.	PUNCT
cord-152881-k1hx1m61	7	1	as	as	ADP
cord-152881-k1hx1m61	7	2	of	of	ADP
cord-152881-k1hx1m61	7	3	march	march	PROPN
cord-152881-k1hx1m61	7	4	27	27	NUM
cord-152881-k1hx1m61	7	5	,	,	PUNCT
cord-152881-k1hx1m61	7	6	2020	2020	NUM
cord-152881-k1hx1m61	7	7	,	,	PUNCT
cord-152881-k1hx1m61	7	8	the	the	DET
cord-152881-k1hx1m61	7	9	total	total	ADJ
cord-152881-k1hx1m61	7	10	number	number	NOUN
cord-152881-k1hx1m61	7	11	of	of	ADP
cord-152881-k1hx1m61	7	12	cases	case	NOUN
cord-152881-k1hx1m61	7	13	exceeds	exceed	VERB
cord-152881-k1hx1m61	7	14	460,000	460,000	NUM
cord-152881-k1hx1m61	7	15	and	and	CCONJ
cord-152881-k1hx1m61	7	16	the	the	DET
cord-152881-k1hx1m61	7	17	disease	disease	NOUN
cord-152881-k1hx1m61	7	18	has	have	AUX
cord-152881-k1hx1m61	7	19	claimed	claim	VERB
cord-152881-k1hx1m61	7	20	more	more	ADJ
cord-152881-k1hx1m61	7	21	than	than	ADP
cord-152881-k1hx1m61	7	22	20,000	20,000	NUM
cord-152881-k1hx1m61	7	23	lives	life	NOUN
cord-152881-k1hx1m61	7	24	globally	globally	ADV
cord-152881-k1hx1m61	7	25	.	.	PUNCT
cord-152881-k1hx1m61	8	1	since	since	SCONJ
cord-152881-k1hx1m61	8	2	march	march	PROPN
cord-152881-k1hx1m61	8	3	2020	2020	NUM
cord-152881-k1hx1m61	8	4	,	,	PUNCT
cord-152881-k1hx1m61	8	5	while	while	SCONJ
cord-152881-k1hx1m61	8	6	new	new	ADJ
cord-152881-k1hx1m61	8	7	cases	case	NOUN
cord-152881-k1hx1m61	8	8	in	in	ADP
cord-152881-k1hx1m61	8	9	china	china	PROPN
cord-152881-k1hx1m61	8	10	appears	appear	VERB
cord-152881-k1hx1m61	8	11	to	to	PART
cord-152881-k1hx1m61	8	12	have	have	AUX
cord-152881-k1hx1m61	8	13	settled	settle	VERB
cord-152881-k1hx1m61	8	14	down	down	ADP
cord-152881-k1hx1m61	8	15	,	,	PUNCT
cord-152881-k1hx1m61	8	16	the	the	DET
cord-152881-k1hx1m61	8	17	number	number	NOUN
cord-152881-k1hx1m61	8	18	of	of	ADP
cord-152881-k1hx1m61	8	19	cases	case	NOUN
cord-152881-k1hx1m61	8	20	are	be	AUX
cord-152881-k1hx1m61	8	21	exponentially	exponentially	ADV
cord-152881-k1hx1m61	8	22	growing	grow	VERB
cord-152881-k1hx1m61	8	23	in	in	ADP
cord-152881-k1hx1m61	8	24	the	the	DET
cord-152881-k1hx1m61	8	25	rest	rest	NOUN
cord-152881-k1hx1m61	8	26	of	of	ADP
cord-152881-k1hx1m61	8	27	the	the	DET
cord-152881-k1hx1m61	8	28	world	world	NOUN
cord-152881-k1hx1m61	8	29	.	.	PUNCT
cord-152881-k1hx1m61	9	1	to	to	PART
cord-152881-k1hx1m61	9	2	prevent	prevent	VERB
cord-152881-k1hx1m61	9	3	the	the	DET
cord-152881-k1hx1m61	9	4	spread	spread	NOUN
cord-152881-k1hx1m61	9	5	of	of	ADP
cord-152881-k1hx1m61	9	6	the	the	DET
cord-152881-k1hx1m61	9	7	new	new	ADJ
cord-152881-k1hx1m61	9	8	virus	virus	NOUN
cord-152881-k1hx1m61	9	9	,	,	PUNCT
cord-152881-k1hx1m61	9	10	many	many	ADJ
cord-152881-k1hx1m61	9	11	governments	government	NOUN
cord-152881-k1hx1m61	9	12	have	have	AUX
cord-152881-k1hx1m61	9	13	introduced	introduce	VERB
cord-152881-k1hx1m61	9	14	draconian	draconian	ADJ
cord-152881-k1hx1m61	9	15	measures	measure	NOUN
cord-152881-k1hx1m61	9	16	such	such	ADJ
cord-152881-k1hx1m61	9	17	as	as	ADP
cord-152881-k1hx1m61	9	18	restricting	restrict	VERB
cord-152881-k1hx1m61	9	19	travel	travel	NOUN
cord-152881-k1hx1m61	9	20	,	,	PUNCT
cord-152881-k1hx1m61	9	21	ordering	order	VERB
cord-152881-k1hx1m61	9	22	social	social	ADJ
cord-152881-k1hx1m61	9	23	distancing	distancing	NOUN
cord-152881-k1hx1m61	9	24	,	,	PUNCT
cord-152881-k1hx1m61	9	25	and	and	CCONJ
cord-152881-k1hx1m61	9	26	closing	closing	NOUN
cord-152881-k1hx1m61	9	27	schools	school	NOUN
cord-152881-k1hx1m61	9	28	,	,	PUNCT
cord-152881-k1hx1m61	9	29	bars	bar	NOUN
cord-152881-k1hx1m61	9	30	,	,	PUNCT
cord-152881-k1hx1m61	9	31	restaurants	restaurant	NOUN
cord-152881-k1hx1m61	9	32	,	,	PUNCT
cord-152881-k1hx1m61	9	33	and	and	CCONJ
cord-152881-k1hx1m61	9	34	other	other	ADJ
cord-152881-k1hx1m61	9	35	businesses	business	NOUN
cord-152881-k1hx1m61	9	36	.	.	PUNCT
cord-152881-k1hx1m61	10	1	in	in	ADP
cord-152881-k1hx1m61	10	2	a	a	DET
cord-152881-k1hx1m61	10	3	time	time	NOUN
cord-152881-k1hx1m61	10	4	of	of	ADP
cord-152881-k1hx1m61	10	5	such	such	ADJ
cord-152881-k1hx1m61	10	6	extreme	extreme	ADJ
cord-152881-k1hx1m61	10	7	uncertainty	uncertainty	NOUN
cord-152881-k1hx1m61	10	8	,	,	PUNCT
cord-152881-k1hx1m61	10	9	making	make	VERB
cord-152881-k1hx1m61	10	10	economic	economic	ADJ
cord-152881-k1hx1m61	10	11	decisions	decision	NOUN
cord-152881-k1hx1m61	10	12	becomes	become	VERB
cord-152881-k1hx1m61	10	13	challenging	challenging	ADJ
cord-152881-k1hx1m61	10	14	because	because	SCONJ
cord-152881-k1hx1m61	10	15	pandemics	pandemic	NOUN
cord-152881-k1hx1m61	10	16	are	be	AUX
cord-152881-k1hx1m61	10	17	rare	rare	ADJ
cord-152881-k1hx1m61	10	18	.	.	PUNCT
cord-152881-k1hx1m61	11	1	the	the	DET
cord-152881-k1hx1m61	11	2	most	most	ADV
cord-152881-k1hx1m61	11	3	recent	recent	ADJ
cord-152881-k1hx1m61	11	4	comparable	comparable	ADJ
cord-152881-k1hx1m61	11	5	episode	episode	NOUN
cord-152881-k1hx1m61	11	6	is	be	AUX
cord-152881-k1hx1m61	11	7	the	the	DET
cord-152881-k1hx1m61	11	8	spanish	spanish	ADJ
cord-152881-k1hx1m61	11	9	flu	flu	NOUN
cord-152881-k1hx1m61	11	10	of	of	ADP
cord-152881-k1hx1m61	11	11	1918	1918	NUM
cord-152881-k1hx1m61	11	12	(	(	PUNCT
cord-152881-k1hx1m61	11	13	trilla	trilla	PROPN
cord-152881-k1hx1m61	11	14	et	et	PROPN
cord-152881-k1hx1m61	11	15	al	al	PROPN
cord-152881-k1hx1m61	11	16	.	.	PROPN
cord-152881-k1hx1m61	11	17	,	,	PUNCT
cord-152881-k1hx1m61	11	18	2008	2008	NUM
cord-152881-k1hx1m61	11	19	)	)	PUNCT
cord-152881-k1hx1m61	11	20	,	,	PUNCT
cord-152881-k1hx1m61	11	21	so	so	ADV
cord-152881-k1hx1m61	11	22	pandemics	pandemic	NOUN
cord-152881-k1hx1m61	11	23	are	be	AUX
cord-152881-k1hx1m61	11	24	likely	likely	ADJ
cord-152881-k1hx1m61	11	25	to	to	PART
cord-152881-k1hx1m61	11	26	occur	occur	VERB
cord-152881-k1hx1m61	11	27	at	at	ADP
cord-152881-k1hx1m61	11	28	most	most	ADJ
cord-152881-k1hx1m61	11	29	once	once	ADV
cord-152881-k1hx1m61	11	30	during	during	ADP
cord-152881-k1hx1m61	11	31	one	one	PRON
cord-152881-k1hx1m61	11	32	's	's	PART
cord-152881-k1hx1m61	11	33	lifetime	lifetime	NOUN
cord-152881-k1hx1m61	11	34	.	.	PUNCT
cord-152881-k1hx1m61	12	1	nevertheless	nevertheless	ADV
cord-152881-k1hx1m61	12	2	,	,	PUNCT
cord-152881-k1hx1m61	12	3	individuals	individual	NOUN
cord-152881-k1hx1m61	12	4	need	need	VERB
cord-152881-k1hx1m61	12	5	to	to	PART
cord-152881-k1hx1m61	12	6	make	make	VERB
cord-152881-k1hx1m61	12	7	everyday	everyday	ADJ
cord-152881-k1hx1m61	12	8	decisions	decision	NOUN
cord-152881-k1hx1m61	12	9	such	such	ADJ
cord-152881-k1hx1m61	12	10	as	as	ADP
cord-152881-k1hx1m61	12	11	how	how	SCONJ
cord-152881-k1hx1m61	12	12	to	to	PART
cord-152881-k1hx1m61	12	13	manage	manage	VERB
cord-152881-k1hx1m61	12	14	inventories	inventory	NOUN
cord-152881-k1hx1m61	12	15	of	of	ADP
cord-152881-k1hx1m61	12	16	staples	staple	NOUN
cord-152881-k1hx1m61	12	17	,	,	PUNCT
cord-152881-k1hx1m61	12	18	how	how	SCONJ
cord-152881-k1hx1m61	12	19	much	much	ADJ
cord-152881-k1hx1m61	12	20	to	to	PART
cord-152881-k1hx1m61	12	21	consume	consume	VERB
cord-152881-k1hx1m61	12	22	and	and	CCONJ
cord-152881-k1hx1m61	12	23	save	save	VERB
cord-152881-k1hx1m61	12	24	,	,	PUNCT
cord-152881-k1hx1m61	12	25	when	when	SCONJ
cord-152881-k1hx1m61	12	26	to	to	PART
cord-152881-k1hx1m61	12	27	buy	buy	VERB
cord-152881-k1hx1m61	12	28	or	or	CCONJ
cord-152881-k1hx1m61	12	29	sell	sell	VERB
cord-152881-k1hx1m61	12	30	stocks	stock	NOUN
cord-152881-k1hx1m61	12	31	,	,	PUNCT
cord-152881-k1hx1m61	12	32	etc	etc	X
cord-152881-k1hx1m61	12	33	.	.	X
cord-152881-k1hx1m61	12	34	,	,	PUNCT
cord-152881-k1hx1m61	12	35	and	and	CCONJ
cord-152881-k1hx1m61	12	36	these	these	DET
cord-152881-k1hx1m61	12	37	decisions	decision	NOUN
cord-152881-k1hx1m61	12	38	depend	depend	VERB
cord-152881-k1hx1m61	12	39	on	on	ADP
cord-152881-k1hx1m61	12	40	the	the	DET
cord-152881-k1hx1m61	12	41	expectation	expectation	NOUN
cord-152881-k1hx1m61	12	42	of	of	ADP
cord-152881-k1hx1m61	12	43	how	how	SCONJ
cord-152881-k1hx1m61	12	44	long	long	ADJ
cord-152881-k1hx1m61	12	45	and	and	CCONJ
cord-152881-k1hx1m61	12	46	severe	severe	ADJ
cord-152881-k1hx1m61	12	47	the	the	DET
cord-152881-k1hx1m61	12	48	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	12	49	is	be	AUX
cord-152881-k1hx1m61	12	50	.	.	PUNCT
cord-152881-k1hx1m61	13	1	governments	government	NOUN
cord-152881-k1hx1m61	13	2	must	must	AUX
cord-152881-k1hx1m61	13	3	also	also	ADV
cord-152881-k1hx1m61	13	4	make	make	VERB
cord-152881-k1hx1m61	13	5	decisions	decision	NOUN
cord-152881-k1hx1m61	13	6	such	such	ADJ
cord-152881-k1hx1m61	13	7	as	as	ADP
cord-152881-k1hx1m61	13	8	to	to	ADP
cord-152881-k1hx1m61	13	9	what	what	DET
cord-152881-k1hx1m61	13	10	extent	extent	NOUN
cord-152881-k1hx1m61	13	11	imposing	impose	VERB
cord-152881-k1hx1m61	13	12	travel	travel	NOUN
cord-152881-k1hx1m61	13	13	restrictions	restriction	NOUN
cord-152881-k1hx1m61	13	14	,	,	PUNCT
cord-152881-k1hx1m61	13	15	social	social	ADJ
cord-152881-k1hx1m61	13	16	distancing	distancing	NOUN
cord-152881-k1hx1m61	13	17	,	,	PUNCT
cord-152881-k1hx1m61	13	18	closure	closure	NOUN
cord-152881-k1hx1m61	13	19	of	of	ADP
cord-152881-k1hx1m61	13	20	schools	school	NOUN
cord-152881-k1hx1m61	13	21	and	and	CCONJ
cord-152881-k1hx1m61	13	22	businesses	business	NOUN
cord-152881-k1hx1m61	13	23	,	,	PUNCT
cord-152881-k1hx1m61	13	24	etc	etc	X
cord-152881-k1hx1m61	13	25	.	.	X
cord-152881-k1hx1m61	13	26	,	,	PUNCT
cord-152881-k1hx1m61	13	27	and	and	CCONJ
cord-152881-k1hx1m61	13	28	for	for	ADP
cord-152881-k1hx1m61	13	29	how	how	SCONJ
cord-152881-k1hx1m61	13	30	long	long	ADV
cord-152881-k1hx1m61	13	31	(	(	PUNCT
cord-152881-k1hx1m61	13	32	anderson	anderson	PROPN
cord-152881-k1hx1m61	13	33	et	et	PROPN
cord-152881-k1hx1m61	13	34	al	al	PROPN
cord-152881-k1hx1m61	13	35	.	.	PROPN
cord-152881-k1hx1m61	13	36	,	,	PUNCT
cord-152881-k1hx1m61	13	37	2020	2020	NUM
cord-152881-k1hx1m61	13	38	)	)	PUNCT
cord-152881-k1hx1m61	13	39	.	.	PUNCT
cord-152881-k1hx1m61	14	1	when	when	SCONJ
cord-152881-k1hx1m61	14	2	past	past	ADJ
cord-152881-k1hx1m61	14	3	experience	experience	NOUN
cord-152881-k1hx1m61	14	4	or	or	CCONJ
cord-152881-k1hx1m61	14	5	data	datum	NOUN
cord-152881-k1hx1m61	14	6	are	be	AUX
cord-152881-k1hx1m61	14	7	not	not	PART
cord-152881-k1hx1m61	14	8	so	so	ADV
cord-152881-k1hx1m61	14	9	relevant	relevant	ADJ
cord-152881-k1hx1m61	14	10	in	in	ADP
cord-152881-k1hx1m61	14	11	new	new	ADJ
cord-152881-k1hx1m61	14	12	situations	situation	NOUN
cord-152881-k1hx1m61	14	13	such	such	ADJ
cord-152881-k1hx1m61	14	14	as	as	ADP
cord-152881-k1hx1m61	14	15	the	the	DET
cord-152881-k1hx1m61	14	16	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	14	17	pandemic	pandemic	ADJ
cord-152881-k1hx1m61	14	18	,	,	PUNCT
cord-152881-k1hx1m61	14	19	simple	simple	ADJ
cord-152881-k1hx1m61	14	20	mathematical	mathematical	ADJ
cord-152881-k1hx1m61	14	21	models	model	NOUN
cord-152881-k1hx1m61	14	22	are	be	AUX
cord-152881-k1hx1m61	14	23	useful	useful	ADJ
cord-152881-k1hx1m61	14	24	in	in	ADP
cord-152881-k1hx1m61	14	25	analyzing	analyze	VERB
cord-152881-k1hx1m61	14	26	the	the	DET
cord-152881-k1hx1m61	14	27	current	current	ADJ
cord-152881-k1hx1m61	14	28	situation	situation	NOUN
cord-152881-k1hx1m61	14	29	and	and	CCONJ
cord-152881-k1hx1m61	14	30	predicting	predict	VERB
cord-152881-k1hx1m61	14	31	the	the	DET
cord-152881-k1hx1m61	14	32	near	near	ADJ
cord-152881-k1hx1m61	14	33	future	future	NOUN
cord-152881-k1hx1m61	14	34	.	.	PUNCT
cord-152881-k1hx1m61	15	1	this	this	DET
cord-152881-k1hx1m61	15	2	paper	paper	NOUN
cord-152881-k1hx1m61	15	3	aims	aim	VERB
cord-152881-k1hx1m61	15	4	to	to	PART
cord-152881-k1hx1m61	15	5	help	help	VERB
cord-152881-k1hx1m61	15	6	decision	decision	NOUN
cord-152881-k1hx1m61	15	7	making	making	NOUN
cord-152881-k1hx1m61	15	8	by	by	ADP
cord-152881-k1hx1m61	15	9	building	build	VERB
cord-152881-k1hx1m61	15	10	a	a	DET
cord-152881-k1hx1m61	15	11	mathematical	mathematical	ADJ
cord-152881-k1hx1m61	15	12	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	15	13	model	model	NOUN
cord-152881-k1hx1m61	15	14	,	,	PUNCT
cord-152881-k1hx1m61	15	15	estimating	estimate	VERB
cord-152881-k1hx1m61	15	16	it	it	PRON
cord-152881-k1hx1m61	15	17	using	use	VERB
cord-152881-k1hx1m61	15	18	the	the	DET
cord-152881-k1hx1m61	15	19	up	up	ADP
cord-152881-k1hx1m61	15	20	-	-	PUNCT
cord-152881-k1hx1m61	15	21	to	to	ADP
cord-152881-k1hx1m61	15	22	-	-	PUNCT
cord-152881-k1hx1m61	15	23	date	date	NOUN
cord-152881-k1hx1m61	15	24	data	datum	NOUN
cord-152881-k1hx1m61	15	25	of	of	ADP
cord-152881-k1hx1m61	15	26	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	15	27	cases	case	NOUN
cord-152881-k1hx1m61	15	28	around	around	ADP
cord-152881-k1hx1m61	15	29	the	the	DET
cord-152881-k1hx1m61	15	30	world	world	NOUN
cord-152881-k1hx1m61	15	31	,	,	PUNCT
cord-152881-k1hx1m61	15	32	making	make	VERB
cord-152881-k1hx1m61	15	33	out	out	ADP
cord-152881-k1hx1m61	15	34	-	-	PUNCT
cord-152881-k1hx1m61	15	35	of	of	ADP
cord-152881-k1hx1m61	15	36	-	-	PUNCT
cord-152881-k1hx1m61	15	37	sample	sample	NOUN
cord-152881-k1hx1m61	15	38	predictions	prediction	NOUN
cord-152881-k1hx1m61	15	39	,	,	PUNCT
cord-152881-k1hx1m61	15	40	and	and	CCONJ
cord-152881-k1hx1m61	15	41	discussing	discuss	VERB
cord-152881-k1hx1m61	15	42	optimal	optimal	ADJ
cord-152881-k1hx1m61	15	43	policy	policy	NOUN
cord-152881-k1hx1m61	15	44	and	and	CCONJ
cord-152881-k1hx1m61	15	45	economic	economic	ADJ
cord-152881-k1hx1m61	15	46	impact	impact	NOUN
cord-152881-k1hx1m61	15	47	.	.	PUNCT
cord-152881-k1hx1m61	16	1	the	the	DET
cord-152881-k1hx1m61	16	2	model	model	NOUN
cord-152881-k1hx1m61	16	3	is	be	AUX
cord-152881-k1hx1m61	16	4	the	the	DET
cord-152881-k1hx1m61	16	5	kermack	kermack	NOUN
cord-152881-k1hx1m61	16	6	and	and	CCONJ
cord-152881-k1hx1m61	16	7	mckendrick	mckendrick	PROPN
cord-152881-k1hx1m61	16	8	(	(	PUNCT
cord-152881-k1hx1m61	16	9	1927	1927	NUM
cord-152881-k1hx1m61	16	10	)	)	PUNCT
cord-152881-k1hx1m61	16	11	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	16	12	-	-	PUNCT
cord-152881-k1hx1m61	16	13	infected	infect	VERB
cord-152881-k1hx1m61	16	14	-	-	PUNCT
cord-152881-k1hx1m61	16	15	recovered	recover	VERB
cord-152881-k1hx1m61	16	16	(	(	PUNCT
cord-152881-k1hx1m61	16	17	sir	sir	PROPN
cord-152881-k1hx1m61	16	18	)	)	PUNCT
cord-152881-k1hx1m61	16	19	model	model	NOUN
cord-152881-k1hx1m61	16	20	and	and	CCONJ
cord-152881-k1hx1m61	16	21	is	be	AUX
cord-152881-k1hx1m61	16	22	relatively	relatively	ADV
cord-152881-k1hx1m61	16	23	simple	simple	ADJ
cord-152881-k1hx1m61	16	24	.	.	PUNCT
cord-152881-k1hx1m61	17	1	an	an	DET
cord-152881-k1hx1m61	17	2	infected	infected	ADJ
cord-152881-k1hx1m61	17	3	individual	individual	NOUN
cord-152881-k1hx1m61	17	4	interacts	interact	VERB
cord-152881-k1hx1m61	17	5	with	with	ADP
cord-152881-k1hx1m61	17	6	other	other	ADJ
cord-152881-k1hx1m61	17	7	agents	agent	NOUN
cord-152881-k1hx1m61	17	8	and	and	CCONJ
cord-152881-k1hx1m61	17	9	transmits	transmit	VERB
cord-152881-k1hx1m61	17	10	the	the	DET
cord-152881-k1hx1m61	17	11	disease	disease	NOUN
cord-152881-k1hx1m61	17	12	at	at	ADP
cord-152881-k1hx1m61	17	13	a	a	DET
cord-152881-k1hx1m61	17	14	certain	certain	ADJ
cord-152881-k1hx1m61	17	15	rate	rate	NOUN
cord-152881-k1hx1m61	17	16	if	if	SCONJ
cord-152881-k1hx1m61	17	17	the	the	DET
cord-152881-k1hx1m61	17	18	other	other	ADJ
cord-152881-k1hx1m61	17	19	agent	agent	NOUN
cord-152881-k1hx1m61	17	20	is	be	AUX
cord-152881-k1hx1m61	17	21	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	17	22	.	.	PUNCT
cord-152881-k1hx1m61	18	1	an	an	DET
cord-152881-k1hx1m61	18	2	infected	infected	ADJ
cord-152881-k1hx1m61	18	3	individual	individual	NOUN
cord-152881-k1hx1m61	18	4	also	also	ADV
cord-152881-k1hx1m61	18	5	recovers	recover	VERB
cord-152881-k1hx1m61	18	6	(	(	PUNCT
cord-152881-k1hx1m61	18	7	or	or	CCONJ
cord-152881-k1hx1m61	18	8	dies	die	VERB
cord-152881-k1hx1m61	18	9	)	)	PUNCT
cord-152881-k1hx1m61	18	10	at	at	ADP
cord-152881-k1hx1m61	18	11	a	a	DET
cord-152881-k1hx1m61	18	12	certain	certain	ADJ
cord-152881-k1hx1m61	18	13	rate	rate	NOUN
cord-152881-k1hx1m61	18	14	.	.	PUNCT
cord-152881-k1hx1m61	19	1	the	the	DET
cord-152881-k1hx1m61	19	2	model	model	NOUN
cord-152881-k1hx1m61	19	3	can	can	AUX
cord-152881-k1hx1m61	19	4	be	be	AUX
cord-152881-k1hx1m61	19	5	described	describe	VERB
cord-152881-k1hx1m61	19	6	as	as	ADP
cord-152881-k1hx1m61	19	7	a	a	DET
cord-152881-k1hx1m61	19	8	system	system	NOUN
cord-152881-k1hx1m61	19	9	of	of	ADP
cord-152881-k1hx1m61	19	10	ordinary	ordinary	ADJ
cord-152881-k1hx1m61	19	11	differential	differential	ADJ
cord-152881-k1hx1m61	19	12	equations	equation	NOUN
cord-152881-k1hx1m61	19	13	,	,	PUNCT
cord-152881-k1hx1m61	19	14	which	which	PRON
cord-152881-k1hx1m61	19	15	is	be	AUX
cord-152881-k1hx1m61	19	16	nonlinear	nonlinear	ADJ
cord-152881-k1hx1m61	19	17	due	due	ADP
cord-152881-k1hx1m61	19	18	to	to	ADP
cord-152881-k1hx1m61	19	19	the	the	DET
cord-152881-k1hx1m61	19	20	interaction	interaction	NOUN
cord-152881-k1hx1m61	19	21	between	between	ADP
cord-152881-k1hx1m61	19	22	the	the	DET
cord-152881-k1hx1m61	19	23	infected	infected	ADJ
cord-152881-k1hx1m61	19	24	and	and	CCONJ
cord-152881-k1hx1m61	19	25	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	19	26	.	.	PUNCT
cord-152881-k1hx1m61	20	1	the	the	DET
cord-152881-k1hx1m61	20	2	behavior	behavior	NOUN
cord-152881-k1hx1m61	20	3	of	of	ADP
cord-152881-k1hx1m61	20	4	the	the	DET
cord-152881-k1hx1m61	20	5	model	model	NOUN
cord-152881-k1hx1m61	20	6	is	be	AUX
cord-152881-k1hx1m61	20	7	completely	completely	ADV
cord-152881-k1hx1m61	20	8	determined	determine	VERB
cord-152881-k1hx1m61	20	9	by	by	ADP
cord-152881-k1hx1m61	20	10	the	the	DET
cord-152881-k1hx1m61	20	11	transmission	transmission	NOUN
cord-152881-k1hx1m61	20	12	rate	rate	NOUN
cord-152881-k1hx1m61	20	13	(	(	PUNCT
cord-152881-k1hx1m61	20	14	β	β	NOUN
cord-152881-k1hx1m61	20	15	)	)	PUNCT
cord-152881-k1hx1m61	20	16	,	,	PUNCT
cord-152881-k1hx1m61	20	17	the	the	DET
cord-152881-k1hx1m61	20	18	recovery	recovery	NOUN
cord-152881-k1hx1m61	20	19	rate	rate	NOUN
cord-152881-k1hx1m61	20	20	(	(	PUNCT
cord-152881-k1hx1m61	20	21	γ	γ	NOUN
cord-152881-k1hx1m61	20	22	)	)	PUNCT
cord-152881-k1hx1m61	20	23	,	,	PUNCT
cord-152881-k1hx1m61	20	24	and	and	CCONJ
cord-152881-k1hx1m61	20	25	the	the	DET
cord-152881-k1hx1m61	20	26	initial	initial	ADJ
cord-152881-k1hx1m61	20	27	condition	condition	NOUN
cord-152881-k1hx1m61	20	28	.	.	PUNCT
cord-152881-k1hx1m61	21	1	despite	despite	SCONJ
cord-152881-k1hx1m61	21	2	the	the	DET
cord-152881-k1hx1m61	21	3	nonlinearity	nonlinearity	NOUN
cord-152881-k1hx1m61	21	4	,	,	PUNCT
cord-152881-k1hx1m61	21	5	the	the	DET
cord-152881-k1hx1m61	21	6	model	model	NOUN
cord-152881-k1hx1m61	21	7	admits	admit	VERB
cord-152881-k1hx1m61	21	8	an	an	DET
cord-152881-k1hx1m61	21	9	exact	exact	ADJ
cord-152881-k1hx1m61	21	10	analytical	analytical	ADJ
cord-152881-k1hx1m61	21	11	solution	solution	NOUN
cord-152881-k1hx1m61	21	12	in	in	ADP
cord-152881-k1hx1m61	21	13	parametric	parametric	ADJ
cord-152881-k1hx1m61	21	14	form	form	NOUN
cord-152881-k1hx1m61	21	15	(	(	PUNCT
cord-152881-k1hx1m61	21	16	harko	harko	PROPN
cord-152881-k1hx1m61	21	17	et	et	PROPN
cord-152881-k1hx1m61	21	18	al	al	PROPN
cord-152881-k1hx1m61	21	19	.	.	PROPN
cord-152881-k1hx1m61	21	20	,	,	PUNCT
cord-152881-k1hx1m61	21	21	2014	2014	NUM
cord-152881-k1hx1m61	21	22	)	)	PUNCT
cord-152881-k1hx1m61	21	23	,	,	PUNCT
cord-152881-k1hx1m61	21	24	which	which	PRON
cord-152881-k1hx1m61	21	25	is	be	AUX
cord-152881-k1hx1m61	21	26	convenient	convenient	ADJ
cord-152881-k1hx1m61	21	27	for	for	ADP
cord-152881-k1hx1m61	21	28	estimation	estimation	NOUN
cord-152881-k1hx1m61	21	29	and	and	CCONJ
cord-152881-k1hx1m61	21	30	prediction	prediction	NOUN
cord-152881-k1hx1m61	21	31	.	.	PUNCT
cord-152881-k1hx1m61	22	1	using	use	VERB
cord-152881-k1hx1m61	22	2	this	this	DET
cord-152881-k1hx1m61	22	3	model	model	NOUN
cord-152881-k1hx1m61	22	4	,	,	PUNCT
cord-152881-k1hx1m61	22	5	i	i	PRON
cord-152881-k1hx1m61	22	6	theoretically	theoretically	ADV
cord-152881-k1hx1m61	22	7	derive	derive	VERB
cord-152881-k1hx1m61	22	8	the	the	DET
cord-152881-k1hx1m61	22	9	condition	condition	NOUN
cord-152881-k1hx1m61	22	10	under	under	ADP
cord-152881-k1hx1m61	22	11	which	which	PRON
cord-152881-k1hx1m61	22	12	an	an	DET
cord-152881-k1hx1m61	22	13	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	22	14	occurs	occur	VERB
cord-152881-k1hx1m61	22	15	and	and	CCONJ
cord-152881-k1hx1m61	22	16	characterize	characterize	VERB
cord-152881-k1hx1m61	22	17	the	the	DET
cord-152881-k1hx1m61	22	18	peak	peak	NOUN
cord-152881-k1hx1m61	22	19	of	of	ADP
cord-152881-k1hx1m61	22	20	the	the	DET
cord-152881-k1hx1m61	22	21	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	22	22	.	.	PUNCT
cord-152881-k1hx1m61	23	1	i	i	PRON
cord-152881-k1hx1m61	23	2	next	next	ADV
cord-152881-k1hx1m61	23	3	take	take	VERB
cord-152881-k1hx1m61	23	4	this	this	DET
cord-152881-k1hx1m61	23	5	model	model	NOUN
cord-152881-k1hx1m61	23	6	to	to	ADP
cord-152881-k1hx1m61	23	7	the	the	DET
cord-152881-k1hx1m61	23	8	data	datum	NOUN
cord-152881-k1hx1m61	23	9	.	.	PUNCT
cord-152881-k1hx1m61	24	1	because	because	SCONJ
cord-152881-k1hx1m61	24	2	the	the	DET
cord-152881-k1hx1m61	24	3	situation	situation	NOUN
cord-152881-k1hx1m61	24	4	and	and	CCONJ
cord-152881-k1hx1m61	24	5	policies	policy	NOUN
cord-152881-k1hx1m61	24	6	surrounding	surround	VERB
cord-152881-k1hx1m61	24	7	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	24	8	is	be	AUX
cord-152881-k1hx1m61	24	9	rapidly	rapidly	ADV
cord-152881-k1hx1m61	24	10	evolving	evolve	VERB
cord-152881-k1hx1m61	24	11	,	,	PUNCT
cord-152881-k1hx1m61	24	12	i	i	PRON
cord-152881-k1hx1m61	24	13	use	use	VERB
cord-152881-k1hx1m61	24	14	the	the	DET
cord-152881-k1hx1m61	24	15	most	most	ADV
cord-152881-k1hx1m61	24	16	recent	recent	ADJ
cord-152881-k1hx1m61	24	17	two	two	NUM
cord-152881-k1hx1m61	24	18	weeks	week	NOUN
cord-152881-k1hx1m61	24	19	(	(	PUNCT
cord-152881-k1hx1m61	24	20	14	14	NUM
cord-152881-k1hx1m61	24	21	days	day	NOUN
cord-152881-k1hx1m61	24	22	)	)	PUNCT
cord-152881-k1hx1m61	24	23	of	of	ADP
cord-152881-k1hx1m61	24	24	cases	case	NOUN
cord-152881-k1hx1m61	24	25	and	and	CCONJ
cord-152881-k1hx1m61	24	26	estimate	estimate	VERB
cord-152881-k1hx1m61	24	27	the	the	DET
cord-152881-k1hx1m61	24	28	model	model	NOUN
cord-152881-k1hx1m61	24	29	parameters	parameter	NOUN
cord-152881-k1hx1m61	24	30	by	by	ADP
cord-152881-k1hx1m61	24	31	nonlinear	nonlinear	ADJ
cord-152881-k1hx1m61	24	32	least	least	ADJ
cord-152881-k1hx1m61	24	33	squares	square	NOUN
cord-152881-k1hx1m61	24	34	.	.	PUNCT
cord-152881-k1hx1m61	25	1	except	except	SCONJ
cord-152881-k1hx1m61	25	2	for	for	ADP
cord-152881-k1hx1m61	25	3	china	china	PROPN
cord-152881-k1hx1m61	25	4	,	,	PUNCT
cord-152881-k1hx1m61	25	5	japan	japan	PROPN
cord-152881-k1hx1m61	25	6	,	,	PUNCT
cord-152881-k1hx1m61	25	7	and	and	CCONJ
cord-152881-k1hx1m61	25	8	korea	korea	PROPN
cord-152881-k1hx1m61	25	9	,	,	PUNCT
cord-152881-k1hx1m61	25	10	which	which	PRON
cord-152881-k1hx1m61	25	11	are	be	AUX
cord-152881-k1hx1m61	25	12	early	early	ADJ
cord-152881-k1hx1m61	25	13	epicenters	epicenter	NOUN
cord-152881-k1hx1m61	25	14	of	of	ADP
cord-152881-k1hx1m61	25	15	the	the	DET
cord-152881-k1hx1m61	25	16	outbreak	outbreak	NOUN
cord-152881-k1hx1m61	25	17	,	,	PUNCT
cord-152881-k1hx1m61	25	18	the	the	DET
cord-152881-k1hx1m61	25	19	transmission	transmission	NOUN
cord-152881-k1hx1m61	25	20	rate	rate	NOUN
cord-152881-k1hx1m61	25	21	β	β	NOUN
cord-152881-k1hx1m61	25	22	is	be	AUX
cord-152881-k1hx1m61	25	23	around	around	ADV
cord-152881-k1hx1m61	25	24	0.2	0.2	NUM
cord-152881-k1hx1m61	25	25	-	-	SYM
cord-152881-k1hx1m61	25	26	0.4	0.4	NUM
cord-152881-k1hx1m61	25	27	and	and	CCONJ
cord-152881-k1hx1m61	25	28	heterogeneous	heterogeneous	ADJ
cord-152881-k1hx1m61	25	29	across	across	ADP
cord-152881-k1hx1m61	25	30	countries	country	NOUN
cord-152881-k1hx1m61	25	31	.	.	PUNCT
cord-152881-k1hx1m61	26	1	the	the	DET
cord-152881-k1hx1m61	26	2	estimated	estimate	VERB
cord-152881-k1hx1m61	26	3	transmission	transmission	NOUN
cord-152881-k1hx1m61	26	4	rates	rate	NOUN
cord-152881-k1hx1m61	26	5	far	far	ADV
cord-152881-k1hx1m61	26	6	exceed	exceed	VERB
cord-152881-k1hx1m61	26	7	the	the	DET
cord-152881-k1hx1m61	26	8	recovery	recovery	NOUN
cord-152881-k1hx1m61	26	9	rate	rate	NOUN
cord-152881-k1hx1m61	26	10	γ	γ	PROPN
cord-152881-k1hx1m61	26	11	,	,	PUNCT
cord-152881-k1hx1m61	26	12	which	which	PRON
cord-152881-k1hx1m61	26	13	is	be	AUX
cord-152881-k1hx1m61	26	14	about	about	ADV
cord-152881-k1hx1m61	26	15	0.1	0.1	NUM
cord-152881-k1hx1m61	26	16	based	base	VERB
cord-152881-k1hx1m61	26	17	on	on	ADP
cord-152881-k1hx1m61	26	18	the	the	DET
cord-152881-k1hx1m61	26	19	clinical	clinical	ADJ
cord-152881-k1hx1m61	26	20	course	course	NOUN
cord-152881-k1hx1m61	26	21	of	of	ADP
cord-152881-k1hx1m61	26	22	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	26	23	.	.	PUNCT
cord-152881-k1hx1m61	27	1	due	due	ADP
cord-152881-k1hx1m61	27	2	to	to	ADP
cord-152881-k1hx1m61	27	3	the	the	DET
cord-152881-k1hx1m61	27	4	high	high	ADJ
cord-152881-k1hx1m61	27	5	transmission	transmission	NOUN
cord-152881-k1hx1m61	27	6	rate	rate	NOUN
cord-152881-k1hx1m61	27	7	and	and	CCONJ
cord-152881-k1hx1m61	27	8	lack	lack	NOUN
cord-152881-k1hx1m61	27	9	of	of	ADP
cord-152881-k1hx1m61	27	10	herd	herd	NOUN
cord-152881-k1hx1m61	27	11	immunity	immunity	NOUN
cord-152881-k1hx1m61	27	12	,	,	PUNCT
cord-152881-k1hx1m61	27	13	in	in	ADP
cord-152881-k1hx1m61	27	14	the	the	DET
cord-152881-k1hx1m61	27	15	absence	absence	NOUN
cord-152881-k1hx1m61	27	16	of	of	ADP
cord-152881-k1hx1m61	27	17	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	27	18	measures	measure	NOUN
cord-152881-k1hx1m61	27	19	such	such	ADJ
cord-152881-k1hx1m61	27	20	as	as	ADP
cord-152881-k1hx1m61	27	21	social	social	ADJ
cord-152881-k1hx1m61	27	22	distancing	distancing	NOUN
cord-152881-k1hx1m61	27	23	,	,	PUNCT
cord-152881-k1hx1m61	27	24	the	the	DET
cord-152881-k1hx1m61	27	25	virus	virus	NOUN
cord-152881-k1hx1m61	27	26	spreads	spread	VERB
cord-152881-k1hx1m61	27	27	quickly	quickly	ADV
cord-152881-k1hx1m61	27	28	and	and	CCONJ
cord-152881-k1hx1m61	27	29	may	may	AUX
cord-152881-k1hx1m61	27	30	infect	infect	VERB
cord-152881-k1hx1m61	27	31	around	around	ADP
cord-152881-k1hx1m61	27	32	30	30	NUM
cord-152881-k1hx1m61	27	33	percent	percent	NOUN
cord-152881-k1hx1m61	27	34	of	of	ADP
cord-152881-k1hx1m61	27	35	the	the	DET
cord-152881-k1hx1m61	27	36	population	population	NOUN
cord-152881-k1hx1m61	27	37	at	at	ADP
cord-152881-k1hx1m61	27	38	the	the	DET
cord-152881-k1hx1m61	27	39	peak	peak	NOUN
cord-152881-k1hx1m61	27	40	of	of	ADP
cord-152881-k1hx1m61	27	41	the	the	DET
cord-152881-k1hx1m61	27	42	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	27	43	.	.	PUNCT
cord-152881-k1hx1m61	28	1	using	use	VERB
cord-152881-k1hx1m61	28	2	the	the	DET
cord-152881-k1hx1m61	28	3	model	model	NOUN
cord-152881-k1hx1m61	28	4	,	,	PUNCT
cord-152881-k1hx1m61	28	5	i	i	PRON
cord-152881-k1hx1m61	28	6	conduct	conduct	VERB
cord-152881-k1hx1m61	28	7	an	an	DET
cord-152881-k1hx1m61	28	8	experiment	experiment	NOUN
cord-152881-k1hx1m61	28	9	where	where	SCONJ
cord-152881-k1hx1m61	28	10	the	the	DET
cord-152881-k1hx1m61	28	11	government	government	NOUN
cord-152881-k1hx1m61	28	12	introduces	introduce	VERB
cord-152881-k1hx1m61	28	13	temporary	temporary	ADJ
cord-152881-k1hx1m61	28	14	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	28	15	measures	measure	NOUN
cord-152881-k1hx1m61	28	16	and	and	CCONJ
cord-152881-k1hx1m61	28	17	succeeds	succeed	VERB
cord-152881-k1hx1m61	28	18	in	in	ADP
cord-152881-k1hx1m61	28	19	reducing	reduce	VERB
cord-152881-k1hx1m61	28	20	the	the	DET
cord-152881-k1hx1m61	28	21	transmission	transmission	NOUN
cord-152881-k1hx1m61	28	22	rate	rate	NOUN
cord-152881-k1hx1m61	28	23	.	.	PUNCT
cord-152881-k1hx1m61	29	1	if	if	SCONJ
cord-152881-k1hx1m61	29	2	the	the	DET
cord-152881-k1hx1m61	29	3	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	29	4	measures	measure	NOUN
cord-152881-k1hx1m61	29	5	are	be	AUX
cord-152881-k1hx1m61	29	6	taken	take	VERB
cord-152881-k1hx1m61	29	7	too	too	ADV
cord-152881-k1hx1m61	29	8	early	early	ADV
cord-152881-k1hx1m61	29	9	,	,	PUNCT
cord-152881-k1hx1m61	29	10	the	the	DET
cord-152881-k1hx1m61	29	11	peak	peak	NOUN
cord-152881-k1hx1m61	29	12	is	be	AUX
cord-152881-k1hx1m61	29	13	delayed	delay	VERB
cord-152881-k1hx1m61	29	14	but	but	CCONJ
cord-152881-k1hx1m61	29	15	the	the	DET
cord-152881-k1hx1m61	29	16	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	29	17	restarts	restart	VERB
cord-152881-k1hx1m61	29	18	with	with	ADP
cord-152881-k1hx1m61	29	19	no	no	DET
cord-152881-k1hx1m61	29	20	effect	effect	NOUN
cord-152881-k1hx1m61	29	21	on	on	ADP
cord-152881-k1hx1m61	29	22	the	the	DET
cord-152881-k1hx1m61	29	23	peak	peak	NOUN
cord-152881-k1hx1m61	29	24	because	because	SCONJ
cord-152881-k1hx1m61	29	25	the	the	DET
cord-152881-k1hx1m61	29	26	population	population	NOUN
cord-152881-k1hx1m61	29	27	does	do	AUX
cord-152881-k1hx1m61	29	28	not	not	PART
cord-152881-k1hx1m61	29	29	acquire	acquire	VERB
cord-152881-k1hx1m61	29	30	herd	herd	NOUN
cord-152881-k1hx1m61	29	31	immunity	immunity	NOUN
cord-152881-k1hx1m61	29	32	.	.	PUNCT
cord-152881-k1hx1m61	30	1	assuming	assume	VERB
cord-152881-k1hx1m61	30	2	the	the	DET
cord-152881-k1hx1m61	30	3	government	government	NOUN
cord-152881-k1hx1m61	30	4	can	can	AUX
cord-152881-k1hx1m61	30	5	take	take	VERB
cord-152881-k1hx1m61	30	6	drastic	drastic	ADJ
cord-152881-k1hx1m61	30	7	measures	measure	NOUN
cord-152881-k1hx1m61	30	8	up	up	ADP
cord-152881-k1hx1m61	30	9	to	to	PART
cord-152881-k1hx1m61	30	10	12	12	NUM
cord-152881-k1hx1m61	30	11	weeks	week	NOUN
cord-152881-k1hx1m61	30	12	,	,	PUNCT
cord-152881-k1hx1m61	30	13	the	the	DET
cord-152881-k1hx1m61	30	14	optimal	optimal	ADJ
cord-152881-k1hx1m61	30	15	policy	policy	NOUN
cord-152881-k1hx1m61	30	16	is	be	AUX
cord-152881-k1hx1m61	30	17	start	start	ADJ
cord-152881-k1hx1m61	30	18	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	30	19	measures	measure	NOUN
cord-152881-k1hx1m61	30	20	once	once	SCONJ
cord-152881-k1hx1m61	30	21	the	the	DET
cord-152881-k1hx1m61	30	22	number	number	NOUN
cord-152881-k1hx1m61	30	23	of	of	ADP
cord-152881-k1hx1m61	30	24	cases	case	NOUN
cord-152881-k1hx1m61	30	25	reaches	reach	VERB
cord-152881-k1hx1m61	30	26	6.3	6.3	NUM
cord-152881-k1hx1m61	30	27	%	%	NOUN
cord-152881-k1hx1m61	30	28	of	of	ADP
cord-152881-k1hx1m61	30	29	the	the	DET
cord-152881-k1hx1m61	30	30	population	population	NOUN
cord-152881-k1hx1m61	30	31	.	.	PUNCT
cord-152881-k1hx1m61	31	1	under	under	ADP
cord-152881-k1hx1m61	31	2	the	the	DET
cord-152881-k1hx1m61	31	3	optimal	optimal	ADJ
cord-152881-k1hx1m61	31	4	policy	policy	NOUN
cord-152881-k1hx1m61	31	5	,	,	PUNCT
cord-152881-k1hx1m61	31	6	the	the	DET
cord-152881-k1hx1m61	31	7	peak	peak	NOUN
cord-152881-k1hx1m61	31	8	infection	infection	NOUN
cord-152881-k1hx1m61	31	9	rate	rate	NOUN
cord-152881-k1hx1m61	31	10	reduces	reduce	VERB
cord-152881-k1hx1m61	31	11	to	to	ADP
cord-152881-k1hx1m61	31	12	6.2	6.2	NUM
cord-152881-k1hx1m61	31	13	%	%	NOUN
cord-152881-k1hx1m61	31	14	.	.	PUNCT
cord-152881-k1hx1m61	32	1	therefore	therefore	ADV
cord-152881-k1hx1m61	32	2	unless	unless	SCONJ
cord-152881-k1hx1m61	32	3	vaccines	vaccine	NOUN
cord-152881-k1hx1m61	32	4	are	be	AUX
cord-152881-k1hx1m61	32	5	expected	expect	VERB
cord-152881-k1hx1m61	32	6	to	to	PART
cord-152881-k1hx1m61	32	7	be	be	AUX
cord-152881-k1hx1m61	32	8	developed	develop	VERB
cord-152881-k1hx1m61	32	9	in	in	ADP
cord-152881-k1hx1m61	32	10	the	the	DET
cord-152881-k1hx1m61	32	11	near	near	ADJ
cord-152881-k1hx1m61	32	12	future	future	NOUN
cord-152881-k1hx1m61	32	13	,	,	PUNCT
cord-152881-k1hx1m61	32	14	the	the	DET
cord-152881-k1hx1m61	32	15	draconian	draconian	ADJ
cord-152881-k1hx1m61	32	16	measures	measure	NOUN
cord-152881-k1hx1m61	32	17	currently	currently	ADV
cord-152881-k1hx1m61	32	18	taken	take	VERB
cord-152881-k1hx1m61	32	19	in	in	ADP
cord-152881-k1hx1m61	32	20	many	many	ADJ
cord-152881-k1hx1m61	32	21	countries	country	NOUN
cord-152881-k1hx1m61	32	22	may	may	AUX
cord-152881-k1hx1m61	32	23	be	be	AUX
cord-152881-k1hx1m61	32	24	suboptimal	suboptimal	ADJ
cord-152881-k1hx1m61	32	25	,	,	PUNCT
cord-152881-k1hx1m61	32	26	and	and	CCONJ
cord-152881-k1hx1m61	32	27	it	it	PRON
cord-152881-k1hx1m61	32	28	may	may	AUX
cord-152881-k1hx1m61	32	29	be	be	AUX
cord-152881-k1hx1m61	32	30	desirable	desirable	ADJ
cord-152881-k1hx1m61	32	31	to	to	PART
cord-152881-k1hx1m61	32	32	postpone	postpone	VERB
cord-152881-k1hx1m61	32	33	them	they	PRON
cord-152881-k1hx1m61	32	34	.	.	PUNCT
cord-152881-k1hx1m61	33	1	to	to	PART
cord-152881-k1hx1m61	33	2	evaluate	evaluate	VERB
cord-152881-k1hx1m61	33	3	the	the	DET
cord-152881-k1hx1m61	33	4	potential	potential	ADJ
cord-152881-k1hx1m61	33	5	economic	economic	ADJ
cord-152881-k1hx1m61	33	6	impact	impact	NOUN
cord-152881-k1hx1m61	33	7	of	of	ADP
cord-152881-k1hx1m61	33	8	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	33	9	,	,	PUNCT
cord-152881-k1hx1m61	33	10	i	i	PRON
cord-152881-k1hx1m61	33	11	build	build	VERB
cord-152881-k1hx1m61	33	12	a	a	DET
cord-152881-k1hx1m61	33	13	stylized	stylize	VERB
cord-152881-k1hx1m61	33	14	production	production	NOUN
cord-152881-k1hx1m61	33	15	-	-	PUNCT
cord-152881-k1hx1m61	33	16	based	base	VERB
cord-152881-k1hx1m61	33	17	asset	asset	NOUN
cord-152881-k1hx1m61	33	18	pricing	pricing	NOUN
cord-152881-k1hx1m61	33	19	model	model	NOUN
cord-152881-k1hx1m61	33	20	.	.	PUNCT
cord-152881-k1hx1m61	34	1	capitalists	capitalist	NOUN
cord-152881-k1hx1m61	34	2	hire	hire	VERB
cord-152881-k1hx1m61	34	3	labor	labor	NOUN
cord-152881-k1hx1m61	34	4	at	at	ADP
cord-152881-k1hx1m61	34	5	competitive	competitive	ADJ
cord-152881-k1hx1m61	34	6	markets	market	NOUN
cord-152881-k1hx1m61	34	7	and	and	CCONJ
cord-152881-k1hx1m61	34	8	infected	infected	ADJ
cord-152881-k1hx1m61	34	9	workers	worker	NOUN
cord-152881-k1hx1m61	34	10	are	be	AUX
cord-152881-k1hx1m61	34	11	unable	unable	ADJ
cord-152881-k1hx1m61	34	12	to	to	PART
cord-152881-k1hx1m61	34	13	work	work	VERB
cord-152881-k1hx1m61	34	14	.	.	PUNCT
cord-152881-k1hx1m61	35	1	because	because	SCONJ
cord-152881-k1hx1m61	35	2	the	the	DET
cord-152881-k1hx1m61	35	3	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	35	4	(	(	PUNCT
cord-152881-k1hx1m61	35	5	temporarily	temporarily	ADV
cord-152881-k1hx1m61	35	6	)	)	PUNCT
cord-152881-k1hx1m61	35	7	drastically	drastically	ADV
cord-152881-k1hx1m61	35	8	reduces	reduce	VERB
cord-152881-k1hx1m61	35	9	the	the	DET
cord-152881-k1hx1m61	35	10	labor	labor	NOUN
cord-152881-k1hx1m61	35	11	supply	supply	NOUN
cord-152881-k1hx1m61	35	12	,	,	PUNCT
cord-152881-k1hx1m61	35	13	output	output	NOUN
cord-152881-k1hx1m61	35	14	goes	go	VERB
cord-152881-k1hx1m61	35	15	down	down	ADV
cord-152881-k1hx1m61	35	16	and	and	CCONJ
cord-152881-k1hx1m61	35	17	the	the	DET
cord-152881-k1hx1m61	35	18	model	model	NOUN
cord-152881-k1hx1m61	35	19	calibration	calibration	NOUN
cord-152881-k1hx1m61	35	20	suggests	suggest	VERB
cord-152881-k1hx1m61	35	21	that	that	SCONJ
cord-152881-k1hx1m61	35	22	the	the	DET
cord-152881-k1hx1m61	35	23	stock	stock	NOUN
cord-152881-k1hx1m61	35	24	market	market	NOUN
cord-152881-k1hx1m61	35	25	crashes	crash	VERB
cord-152881-k1hx1m61	35	26	by	by	ADP
cord-152881-k1hx1m61	35	27	50	50	NUM
cord-152881-k1hx1m61	35	28	%	%	NOUN
cord-152881-k1hx1m61	35	29	during	during	ADP
cord-152881-k1hx1m61	35	30	the	the	DET
cord-152881-k1hx1m61	35	31	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	35	32	,	,	PUNCT
cord-152881-k1hx1m61	35	33	though	though	SCONJ
cord-152881-k1hx1m61	35	34	the	the	DET
cord-152881-k1hx1m61	35	35	crash	crash	NOUN
cord-152881-k1hx1m61	35	36	is	be	AUX
cord-152881-k1hx1m61	35	37	short	short	ADV
cord-152881-k1hx1m61	35	38	-	-	PUNCT
cord-152881-k1hx1m61	35	39	lived	live	VERB
cord-152881-k1hx1m61	35	40	.	.	PUNCT
cord-152881-k1hx1m61	36	1	under	under	ADP
cord-152881-k1hx1m61	36	2	the	the	DET
cord-152881-k1hx1m61	36	3	optimal	optimal	ADJ
cord-152881-k1hx1m61	36	4	policy	policy	NOUN
cord-152881-k1hx1m61	36	5	,	,	PUNCT
cord-152881-k1hx1m61	36	6	the	the	DET
cord-152881-k1hx1m61	36	7	stock	stock	NOUN
cord-152881-k1hx1m61	36	8	price	price	NOUN
cord-152881-k1hx1m61	36	9	exhibits	exhibit	VERB
cord-152881-k1hx1m61	36	10	a	a	DET
cord-152881-k1hx1m61	36	11	w	w	ADV
cord-152881-k1hx1m61	36	12	-	-	PUNCT
cord-152881-k1hx1m61	36	13	shaped	shape	VERB
cord-152881-k1hx1m61	36	14	pattern	pattern	NOUN
cord-152881-k1hx1m61	36	15	and	and	CCONJ
cord-152881-k1hx1m61	36	16	remains	remain	VERB
cord-152881-k1hx1m61	36	17	about	about	ADV
cord-152881-k1hx1m61	36	18	10	10	NUM
cord-152881-k1hx1m61	36	19	%	%	NOUN
cord-152881-k1hx1m61	36	20	undervalued	undervalue	VERB
cord-152881-k1hx1m61	36	21	than	than	ADP
cord-152881-k1hx1m61	36	22	the	the	DET
cord-152881-k1hx1m61	36	23	steady	steady	ADJ
cord-152881-k1hx1m61	36	24	state	state	NOUN
cord-152881-k1hx1m61	36	25	for	for	ADP
cord-152881-k1hx1m61	36	26	about	about	ADV
cord-152881-k1hx1m61	36	27	half	half	DET
cord-152881-k1hx1m61	36	28	a	a	PRON
cord-152881-k1hx1m61	36	29	year	year	NOUN
cord-152881-k1hx1m61	36	30	.	.	PUNCT
cord-152881-k1hx1m61	37	1	i	i	PRON
cord-152881-k1hx1m61	37	2	first	first	ADV
cord-152881-k1hx1m61	37	3	present	present	VERB
cord-152881-k1hx1m61	37	4	the	the	DET
cord-152881-k1hx1m61	37	5	compartment	compartment	NOUN
cord-152881-k1hx1m61	37	6	model	model	NOUN
cord-152881-k1hx1m61	37	7	of	of	ADP
cord-152881-k1hx1m61	37	8	epidemics	epidemic	NOUN
cord-152881-k1hx1m61	37	9	following	follow	VERB
cord-152881-k1hx1m61	37	10	kermack	kermack	NOUN
cord-152881-k1hx1m61	37	11	and	and	CCONJ
cord-152881-k1hx1m61	37	12	mckendrick	mckendrick	PROPN
cord-152881-k1hx1m61	37	13	(	(	PUNCT
cord-152881-k1hx1m61	37	14	1927	1927	NUM
cord-152881-k1hx1m61	37	15	)	)	PUNCT
cord-152881-k1hx1m61	37	16	.	.	PUNCT
cord-152881-k1hx1m61	38	1	the	the	DET
cord-152881-k1hx1m61	38	2	society	society	NOUN
cord-152881-k1hx1m61	38	3	consists	consist	VERB
cord-152881-k1hx1m61	38	4	of	of	ADP
cord-152881-k1hx1m61	38	5	n	n	DET
cord-152881-k1hx1m61	38	6	individuals	individual	NOUN
cord-152881-k1hx1m61	38	7	,	,	PUNCT
cord-152881-k1hx1m61	38	8	among	among	ADP
cord-152881-k1hx1m61	38	9	which	which	PRON
cord-152881-k1hx1m61	38	10	s	s	VERB
cord-152881-k1hx1m61	38	11	are	be	AUX
cord-152881-k1hx1m61	38	12	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	38	13	to	to	ADP
cord-152881-k1hx1m61	38	14	an	an	DET
cord-152881-k1hx1m61	38	15	infectious	infectious	ADJ
cord-152881-k1hx1m61	38	16	disease	disease	NOUN
cord-152881-k1hx1m61	38	17	(	(	PUNCT
cord-152881-k1hx1m61	38	18	they	they	PRON
cord-152881-k1hx1m61	38	19	are	be	AUX
cord-152881-k1hx1m61	38	20	neither	neither	CCONJ
cord-152881-k1hx1m61	38	21	infected	infect	VERB
cord-152881-k1hx1m61	38	22	nor	nor	CCONJ
cord-152881-k1hx1m61	38	23	have	have	VERB
cord-152881-k1hx1m61	38	24	immunity	immunity	NOUN
cord-152881-k1hx1m61	38	25	)	)	PUNCT
cord-152881-k1hx1m61	38	26	and	and	CCONJ
cord-152881-k1hx1m61	38	27	i	i	PRON
cord-152881-k1hx1m61	38	28	are	be	AUX
cord-152881-k1hx1m61	38	29	infected	infect	VERB
cord-152881-k1hx1m61	38	30	.	.	PUNCT
cord-152881-k1hx1m61	39	1	(	(	PUNCT
cord-152881-k1hx1m61	39	2	we	we	PRON
cord-152881-k1hx1m61	39	3	ignore	ignore	VERB
cord-152881-k1hx1m61	39	4	population	population	NOUN
cord-152881-k1hx1m61	39	5	growth	growth	NOUN
cord-152881-k1hx1m61	39	6	because	because	SCONJ
cord-152881-k1hx1m61	39	7	an	an	DET
cord-152881-k1hx1m61	39	8	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	39	9	occurs	occur	VERB
cord-152881-k1hx1m61	39	10	in	in	ADP
cord-152881-k1hx1m61	39	11	a	a	DET
cord-152881-k1hx1m61	39	12	relatively	relatively	ADV
cord-152881-k1hx1m61	39	13	short	short	ADJ
cord-152881-k1hx1m61	39	14	interval	interval	NOUN
cord-152881-k1hx1m61	39	15	.	.	PUNCT
cord-152881-k1hx1m61	39	16	)	)	PUNCT
cord-152881-k1hx1m61	40	1	let	let	VERB
cord-152881-k1hx1m61	40	2	r	r	NOUN
cord-152881-k1hx1m61	40	3	=	=	PROPN
cord-152881-k1hx1m61	40	4	n	n	NOUN
cord-152881-k1hx1m61	40	5	−	−	PROPN
cord-152881-k1hx1m61	40	6	s	s	PROPN
cord-152881-k1hx1m61	41	1	−	−	NOUN
cord-152881-k1hx1m61	42	1	i	i	PRON
cord-152881-k1hx1m61	42	2	be	be	VERB
cord-152881-k1hx1m61	42	3	the	the	DET
cord-152881-k1hx1m61	42	4	number	number	NOUN
cord-152881-k1hx1m61	42	5	of	of	ADP
cord-152881-k1hx1m61	42	6	individuals	individual	NOUN
cord-152881-k1hx1m61	42	7	who	who	PRON
cord-152881-k1hx1m61	42	8	are	be	AUX
cord-152881-k1hx1m61	42	9	immune	immune	ADJ
cord-152881-k1hx1m61	42	10	(	(	PUNCT
cord-152881-k1hx1m61	42	11	possibly	possibly	ADV
cord-152881-k1hx1m61	42	12	because	because	SCONJ
cord-152881-k1hx1m61	42	13	they	they	PRON
cord-152881-k1hx1m61	42	14	are	be	AUX
cord-152881-k1hx1m61	42	15	vaccinated	vaccinate	VERB
cord-152881-k1hx1m61	42	16	,	,	PUNCT
cord-152881-k1hx1m61	42	17	infected	infect	VERB
cord-152881-k1hx1m61	42	18	and	and	CCONJ
cord-152881-k1hx1m61	42	19	recovered	recover	VERB
cord-152881-k1hx1m61	42	20	,	,	PUNCT
cord-152881-k1hx1m61	42	21	or	or	CCONJ
cord-152881-k1hx1m61	42	22	dead	dead	ADJ
cord-152881-k1hx1m61	42	23	)	)	PUNCT
cord-152881-k1hx1m61	42	24	.	.	PUNCT
cord-152881-k1hx1m61	43	1	suppose	suppose	VERB
cord-152881-k1hx1m61	43	2	that	that	SCONJ
cord-152881-k1hx1m61	43	3	individuals	individual	NOUN
cord-152881-k1hx1m61	43	4	meet	meet	VERB
cord-152881-k1hx1m61	43	5	each	each	DET
cord-152881-k1hx1m61	43	6	other	other	ADJ
cord-152881-k1hx1m61	43	7	randomly	randomly	ADJ
cord-152881-k1hx1m61	43	8	,	,	PUNCT
cord-152881-k1hx1m61	43	9	and	and	CCONJ
cord-152881-k1hx1m61	43	10	conditional	conditional	ADJ
cord-152881-k1hx1m61	43	11	of	of	ADP
cord-152881-k1hx1m61	43	12	an	an	DET
cord-152881-k1hx1m61	43	13	infected	infected	ADJ
cord-152881-k1hx1m61	43	14	individual	individual	ADJ
cord-152881-k1hx1m61	43	15	meeting	meet	VERB
cord-152881-k1hx1m61	43	16	a	a	DET
cord-152881-k1hx1m61	43	17	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	43	18	individual	individual	NOUN
cord-152881-k1hx1m61	43	19	,	,	PUNCT
cord-152881-k1hx1m61	43	20	the	the	DET
cord-152881-k1hx1m61	43	21	disease	disease	NOUN
cord-152881-k1hx1m61	43	22	is	be	AUX
cord-152881-k1hx1m61	43	23	transmitted	transmit	VERB
cord-152881-k1hx1m61	43	24	with	with	ADP
cord-152881-k1hx1m61	43	25	some	some	DET
cord-152881-k1hx1m61	43	26	probability	probability	NOUN
cord-152881-k1hx1m61	43	27	.	.	PUNCT
cord-152881-k1hx1m61	44	1	let	let	AUX
cord-152881-k1hx1m61	44	2	β	β	X
cord-152881-k1hx1m61	44	3	>	>	X
cord-152881-k1hx1m61	44	4	0	0	PUNCT
cord-152881-k1hx1m61	44	5	be	be	AUX
cord-152881-k1hx1m61	44	6	the	the	DET
cord-152881-k1hx1m61	44	7	rate	rate	NOUN
cord-152881-k1hx1m61	44	8	at	at	ADP
cord-152881-k1hx1m61	44	9	which	which	PRON
cord-152881-k1hx1m61	44	10	an	an	DET
cord-152881-k1hx1m61	44	11	infected	infected	ADJ
cord-152881-k1hx1m61	44	12	individual	individual	NOUN
cord-152881-k1hx1m61	44	13	meets	meet	VERB
cord-152881-k1hx1m61	44	14	a	a	DET
cord-152881-k1hx1m61	44	15	person	person	NOUN
cord-152881-k1hx1m61	44	16	and	and	CCONJ
cord-152881-k1hx1m61	44	17	transmits	transmit	VERB
cord-152881-k1hx1m61	44	18	the	the	DET
cord-152881-k1hx1m61	44	19	disease	disease	NOUN
cord-152881-k1hx1m61	44	20	if	if	SCONJ
cord-152881-k1hx1m61	44	21	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	44	22	.	.	PUNCT
cord-152881-k1hx1m61	45	1	let	let	VERB
cord-152881-k1hx1m61	45	2	γ	γ	X
cord-152881-k1hx1m61	45	3	>	>	X
cord-152881-k1hx1m61	45	4	0	0	PUNCT
cord-152881-k1hx1m61	45	5	be	be	AUX
cord-152881-k1hx1m61	45	6	the	the	DET
cord-152881-k1hx1m61	45	7	rate	rate	NOUN
cord-152881-k1hx1m61	45	8	at	at	ADP
cord-152881-k1hx1m61	45	9	which	which	PRON
cord-152881-k1hx1m61	45	10	an	an	DET
cord-152881-k1hx1m61	45	11	infected	infected	ADJ
cord-152881-k1hx1m61	45	12	individual	individual	NOUN
cord-152881-k1hx1m61	45	13	recovers	recover	VERB
cord-152881-k1hx1m61	45	14	or	or	CCONJ
cord-152881-k1hx1m61	45	15	dies	die	VERB
cord-152881-k1hx1m61	45	16	.	.	PUNCT
cord-152881-k1hx1m61	46	1	then	then	ADV
cord-152881-k1hx1m61	46	2	the	the	DET
cord-152881-k1hx1m61	46	3	following	follow	VERB
cord-152881-k1hx1m61	46	4	differential	differential	ADJ
cord-152881-k1hx1m61	46	5	equations	equation	NOUN
cord-152881-k1hx1m61	46	6	hold	hold	VERB
cord-152881-k1hx1m61	46	7	.	.	PUNCT
cord-152881-k1hx1m61	47	1	to	to	PART
cord-152881-k1hx1m61	47	2	see	see	VERB
cord-152881-k1hx1m61	47	3	why	why	SCONJ
cord-152881-k1hx1m61	47	4	(	(	PUNCT
cord-152881-k1hx1m61	47	5	whereẋ	whereẋ	PROPN
cord-152881-k1hx1m61	47	6	=	=	X
cord-152881-k1hx1m61	47	7	dx/	dx/	PROPN
cord-152881-k1hx1m61	47	8	dt	dt	PROPN
cord-152881-k1hx1m61	47	9	.	.	PUNCT
cord-152881-k1hx1m61	48	1	although	although	SCONJ
cord-152881-k1hx1m61	48	2	the	the	DET
cord-152881-k1hx1m61	48	3	system	system	NOUN
cord-152881-k1hx1m61	48	4	of	of	ADP
cord-152881-k1hx1m61	48	5	differential	differential	ADJ
cord-152881-k1hx1m61	48	6	equations	equation	NOUN
cord-152881-k1hx1m61	48	7	(	(	PUNCT
cord-152881-k1hx1m61	48	8	2.2	2.2	NUM
cord-152881-k1hx1m61	48	9	)	)	PUNCT
cord-152881-k1hx1m61	48	10	is	be	AUX
cord-152881-k1hx1m61	48	11	nonlinear	nonlinear	ADJ
cord-152881-k1hx1m61	48	12	,	,	PUNCT
cord-152881-k1hx1m61	48	13	harko	harko	PROPN
cord-152881-k1hx1m61	48	14	et	et	PROPN
cord-152881-k1hx1m61	48	15	al	al	PROPN
cord-152881-k1hx1m61	48	16	.	.	PUNCT
cord-152881-k1hx1m61	49	1	(	(	PUNCT
cord-152881-k1hx1m61	49	2	2014	2014	NUM
cord-152881-k1hx1m61	49	3	)	)	PUNCT
cord-152881-k1hx1m61	49	4	obtain	obtain	VERB
cord-152881-k1hx1m61	49	5	an	an	DET
cord-152881-k1hx1m61	49	6	exact	exact	ADJ
cord-152881-k1hx1m61	49	7	analytical	analytical	ADJ
cord-152881-k1hx1m61	49	8	solution	solution	NOUN
cord-152881-k1hx1m61	49	9	in	in	ADP
cord-152881-k1hx1m61	49	10	parametric	parametric	ADJ
cord-152881-k1hx1m61	49	11	form	form	NOUN
cord-152881-k1hx1m61	49	12	.	.	PUNCT
cord-152881-k1hx1m61	50	1	then	then	ADV
cord-152881-k1hx1m61	50	2	the	the	DET
cord-152881-k1hx1m61	50	3	solution	solution	NOUN
cord-152881-k1hx1m61	50	4	to	to	ADP
cord-152881-k1hx1m61	50	5	(	(	PUNCT
cord-152881-k1hx1m61	50	6	2.2	2.2	NUM
cord-152881-k1hx1m61	50	7	)	)	PUNCT
cord-152881-k1hx1m61	50	8	is	be	AUX
cord-152881-k1hx1m61	50	9	parametrized	parametrize	VERB
cord-152881-k1hx1m61	50	10	as	as	ADP
cord-152881-k1hx1m61	50	11	.	.	PUNCT
cord-152881-k1hx1m61	51	1	(	(	PUNCT
cord-152881-k1hx1m61	51	2	2.4	2.4	NUM
cord-152881-k1hx1m61	51	3	)	)	PUNCT
cord-152881-k1hx1m61	51	4	proof	proof	NOUN
cord-152881-k1hx1m61	51	5	.	.	PUNCT
cord-152881-k1hx1m61	52	1	see	see	VERB
cord-152881-k1hx1m61	52	2	equations	equation	NOUN
cord-152881-k1hx1m61	52	3	(	(	PUNCT
cord-152881-k1hx1m61	52	4	26)-(29	26)-(29	NUM
cord-152881-k1hx1m61	52	5	)	)	PUNCT
cord-152881-k1hx1m61	52	6	in	in	ADP
cord-152881-k1hx1m61	52	7	harko	harko	PROPN
cord-152881-k1hx1m61	52	8	et	et	PROPN
cord-152881-k1hx1m61	52	9	al	al	PROPN
cord-152881-k1hx1m61	52	10	.	.	PUNCT
cord-152881-k1hx1m61	52	11	(	(	PUNCT
cord-152881-k1hx1m61	52	12	2014	2014	NUM
cord-152881-k1hx1m61	52	13	)	)	PUNCT
cord-152881-k1hx1m61	52	14	.	.	PUNCT
cord-152881-k1hx1m61	53	1	the	the	DET
cord-152881-k1hx1m61	53	2	parametrization	parametrization	NOUN
cord-152881-k1hx1m61	53	3	has	have	AUX
cord-152881-k1hx1m61	53	4	been	be	AUX
cord-152881-k1hx1m61	53	5	changed	change	VERB
cord-152881-k1hx1m61	53	6	slightly	slightly	ADV
cord-152881-k1hx1m61	53	7	for	for	ADP
cord-152881-k1hx1m61	53	8	convenience	convenience	NOUN
cord-152881-k1hx1m61	53	9	.	.	PUNCT
cord-152881-k1hx1m61	54	1	using	use	VERB
cord-152881-k1hx1m61	54	2	proposition	proposition	NOUN
cord-152881-k1hx1m61	54	3	2.1	2.1	NUM
cord-152881-k1hx1m61	54	4	,	,	PUNCT
cord-152881-k1hx1m61	54	5	we	we	PRON
cord-152881-k1hx1m61	54	6	can	can	AUX
cord-152881-k1hx1m61	54	7	study	study	VERB
cord-152881-k1hx1m61	54	8	the	the	DET
cord-152881-k1hx1m61	54	9	qualitative	qualitative	ADJ
cord-152881-k1hx1m61	54	10	properties	property	NOUN
cord-152881-k1hx1m61	54	11	of	of	ADP
cord-152881-k1hx1m61	54	12	the	the	DET
cord-152881-k1hx1m61	54	13	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	54	14	.	.	PUNCT
cord-152881-k1hx1m61	55	1	proposition	proposition	NOUN
cord-152881-k1hx1m61	55	2	2.2	2.2	NUM
cord-152881-k1hx1m61	55	3	.	.	PUNCT
cord-152881-k1hx1m61	56	1	let	let	VERB
cord-152881-k1hx1m61	56	2	everything	everything	PRON
cord-152881-k1hx1m61	56	3	be	be	AUX
cord-152881-k1hx1m61	56	4	as	as	ADP
cord-152881-k1hx1m61	56	5	in	in	ADP
cord-152881-k1hx1m61	56	6	proposition	proposition	NOUN
cord-152881-k1hx1m61	56	7	2.1	2.1	NUM
cord-152881-k1hx1m61	56	8	.	.	PUNCT
cord-152881-k1hx1m61	57	1	then	then	ADV
cord-152881-k1hx1m61	57	2	the	the	DET
cord-152881-k1hx1m61	57	3	followings	following	NOUN
cord-152881-k1hx1m61	57	4	are	be	AUX
cord-152881-k1hx1m61	57	5	true	true	ADJ
cord-152881-k1hx1m61	57	6	.	.	PUNCT
cord-152881-k1hx1m61	58	1	1	1	X
cord-152881-k1hx1m61	58	2	.	.	X
cord-152881-k1hx1m61	58	3	in	in	ADP
cord-152881-k1hx1m61	58	4	the	the	DET
cord-152881-k1hx1m61	58	5	long	long	ADJ
cord-152881-k1hx1m61	58	6	run	run	NOUN
cord-152881-k1hx1m61	58	7	,	,	PUNCT
cord-152881-k1hx1m61	58	8	fraction	fraction	NOUN
cord-152881-k1hx1m61	58	9	v	v	NOUN
cord-152881-k1hx1m61	58	10	*	*	PUNCT
cord-152881-k1hx1m61	58	11	∈	∈	NOUN
cord-152881-k1hx1m61	58	12	(	(	PUNCT
cord-152881-k1hx1m61	58	13	0	0	NUM
cord-152881-k1hx1m61	58	14	,	,	PUNCT
cord-152881-k1hx1m61	58	15	1	1	NUM
cord-152881-k1hx1m61	58	16	)	)	PUNCT
cord-152881-k1hx1m61	58	17	of	of	ADP
cord-152881-k1hx1m61	58	18	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	58	19	individuals	individual	NOUN
cord-152881-k1hx1m61	58	20	will	will	AUX
cord-152881-k1hx1m61	58	21	not	not	PART
cord-152881-k1hx1m61	58	22	be	be	AUX
cord-152881-k1hx1m61	58	23	infected	infect	VERB
cord-152881-k1hx1m61	58	24	(	(	PUNCT
cord-152881-k1hx1m61	58	25	fraction	fraction	NOUN
cord-152881-k1hx1m61	58	26	1	1	NUM
cord-152881-k1hx1m61	58	27	−	−	PROPN
cord-152881-k1hx1m61	58	28	v	v	NOUN
cord-152881-k1hx1m61	58	29	*	*	PUNCT
cord-152881-k1hx1m61	58	30	infected	infect	VERB
cord-152881-k1hx1m61	58	31	)	)	PUNCT
cord-152881-k1hx1m61	58	32	,	,	PUNCT
cord-152881-k1hx1m61	58	33	where	where	SCONJ
cord-152881-k1hx1m61	58	34	v	v	NOUN
cord-152881-k1hx1m61	58	35	*	*	PUNCT
cord-152881-k1hx1m61	58	36	is	be	AUX
cord-152881-k1hx1m61	58	37	the	the	DET
cord-152881-k1hx1m61	58	38	unique	unique	ADJ
cord-152881-k1hx1m61	58	39	solution	solution	NOUN
cord-152881-k1hx1m61	58	40	to	to	ADP
cord-152881-k1hx1m61	58	41	3	3	NUM
cord-152881-k1hx1m61	58	42	.	.	PUNCT
cord-152881-k1hx1m61	59	1	if	if	SCONJ
cord-152881-k1hx1m61	59	2	βx	βx	PROPN
cord-152881-k1hx1m61	59	3	0	0	NUM
cord-152881-k1hx1m61	59	4	>	>	PUNCT
cord-152881-k1hx1m61	59	5	γ	γ	PROPN
cord-152881-k1hx1m61	59	6	,	,	PUNCT
cord-152881-k1hx1m61	59	7	then	then	ADV
cord-152881-k1hx1m61	59	8	there	there	PRON
cord-152881-k1hx1m61	59	9	is	be	VERB
cord-152881-k1hx1m61	59	10	an	an	DET
cord-152881-k1hx1m61	59	11	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	59	12	.	.	PUNCT
cord-152881-k1hx1m61	60	1	the	the	DET
cord-152881-k1hx1m61	60	2	number	number	NOUN
cord-152881-k1hx1m61	60	3	of	of	ADP
cord-152881-k1hx1m61	60	4	infected	infected	ADJ
cord-152881-k1hx1m61	60	5	individuals	individual	NOUN
cord-152881-k1hx1m61	60	6	reaches	reach	VERB
cord-152881-k1hx1m61	60	7	the	the	DET
cord-152881-k1hx1m61	60	8	maximum	maximum	NOUN
cord-152881-k1hx1m61	60	9	when	when	SCONJ
cord-152881-k1hx1m61	60	10	βx(t	βx(t	PUNCT
cord-152881-k1hx1m61	60	11	max	max	PROPN
cord-152881-k1hx1m61	60	12	)	)	PUNCT
cord-152881-k1hx1m61	60	13	=	=	NOUN
cord-152881-k1hx1m61	60	14	γ	γ	NOUN
cord-152881-k1hx1m61	60	15	,	,	PUNCT
cord-152881-k1hx1m61	60	16	at	at	ADP
cord-152881-k1hx1m61	60	17	which	which	DET
cord-152881-k1hx1m61	60	18	point	point	NOUN
cord-152881-k1hx1m61	60	19	the	the	DET
cord-152881-k1hx1m61	60	20	fraction	fraction	NOUN
cord-152881-k1hx1m61	60	21	of	of	ADP
cord-152881-k1hx1m61	60	22	population	population	NOUN
cord-152881-k1hx1m61	60	23	is	be	AUX
cord-152881-k1hx1m61	60	24	infected	infect	VERB
cord-152881-k1hx1m61	60	25	.	.	PUNCT
cord-152881-k1hx1m61	61	1	the	the	DET
cord-152881-k1hx1m61	61	2	maximum	maximum	ADJ
cord-152881-k1hx1m61	61	3	infection	infection	NOUN
cord-152881-k1hx1m61	61	4	rate	rate	NOUN
cord-152881-k1hx1m61	61	5	y	y	PROPN
cord-152881-k1hx1m61	61	6	max	max	PROPN
cord-152881-k1hx1m61	61	7	is	be	AUX
cord-152881-k1hx1m61	61	8	increasing	increase	VERB
cord-152881-k1hx1m61	61	9	in	in	ADP
cord-152881-k1hx1m61	61	10	x	x	PROPN
cord-152881-k1hx1m61	61	11	0	0	PUNCT
cord-152881-k1hx1m61	61	12	,	,	PUNCT
cord-152881-k1hx1m61	61	13	y	y	PROPN
cord-152881-k1hx1m61	61	14	0	0	PUNCT
cord-152881-k1hx1m61	61	15	and	and	CCONJ
cord-152881-k1hx1m61	61	16	decreasing	decrease	VERB
cord-152881-k1hx1m61	61	17	in	in	ADP
cord-152881-k1hx1m61	61	18	γ	γ	PROPN
cord-152881-k1hx1m61	61	19	/	/	SYM
cord-152881-k1hx1m61	61	20	β	β	PROPN
cord-152881-k1hx1m61	61	21	.	.	PUNCT
cord-152881-k1hx1m61	62	1	because	because	SCONJ
cord-152881-k1hx1m61	62	2	f	f	PROPN
cord-152881-k1hx1m61	62	3	can	can	AUX
cord-152881-k1hx1m61	62	4	be	be	AUX
cord-152881-k1hx1m61	62	5	approximated	approximate	VERB
cord-152881-k1hx1m61	62	6	by	by	ADP
cord-152881-k1hx1m61	62	7	a	a	DET
cord-152881-k1hx1m61	62	8	linear	linear	ADJ
cord-152881-k1hx1m61	62	9	function	function	NOUN
cord-152881-k1hx1m61	62	10	around	around	ADP
cord-152881-k1hx1m61	62	11	v	v	NOUN
cord-152881-k1hx1m61	62	12	*	*	PUNCT
cord-152881-k1hx1m61	62	13	,	,	PUNCT
cord-152881-k1hx1m61	62	14	we	we	PRON
cord-152881-k1hx1m61	62	15	get	get	VERB
cord-152881-k1hx1m61	62	16	for	for	ADP
cord-152881-k1hx1m61	62	17	θ	θ	NOUN
cord-152881-k1hx1m61	62	18	=	=	X
cord-152881-k1hx1m61	62	19	γ	γ	NOUN
cord-152881-k1hx1m61	62	20	/	/	SYM
cord-152881-k1hx1m61	62	21	β	β	PROPN
cord-152881-k1hx1m61	62	22	,	,	PUNCT
cord-152881-k1hx1m61	62	23	it	it	PRON
cord-152881-k1hx1m61	62	24	follows	follow	VERB
cord-152881-k1hx1m61	62	25	from	from	ADP
cord-152881-k1hx1m61	62	26	simple	simple	ADJ
cord-152881-k1hx1m61	62	27	algebra	algebra	NOUN
cord-152881-k1hx1m61	62	28	that	that	PRON
cord-152881-k1hx1m61	62	29	∂y/∂y	∂y/∂y	PROPN
cord-152881-k1hx1m61	62	30	0	0	NUM
cord-152881-k1hx1m61	62	31	=	=	SYM
cord-152881-k1hx1m61	62	32	1	1	NUM
cord-152881-k1hx1m61	62	33	,	,	PUNCT
cord-152881-k1hx1m61	62	34	so	so	ADV
cord-152881-k1hx1m61	62	35	y	y	PROPN
cord-152881-k1hx1m61	62	36	max	max	PROPN
cord-152881-k1hx1m61	62	37	is	be	AUX
cord-152881-k1hx1m61	62	38	increasing	increase	VERB
cord-152881-k1hx1m61	62	39	in	in	ADP
cord-152881-k1hx1m61	62	40	x	x	PROPN
cord-152881-k1hx1m61	62	41	0	0	PUNCT
cord-152881-k1hx1m61	62	42	,	,	PUNCT
cord-152881-k1hx1m61	62	43	y	y	PROPN
cord-152881-k1hx1m61	62	44	0	0	PUNCT
cord-152881-k1hx1m61	62	45	and	and	CCONJ
cord-152881-k1hx1m61	62	46	decreasing	decrease	VERB
cord-152881-k1hx1m61	62	47	in	in	ADP
cord-152881-k1hx1m61	62	48	θ	θ	PROPN
cord-152881-k1hx1m61	62	49	=	=	X
cord-152881-k1hx1m61	62	50	γ	γ	NOUN
cord-152881-k1hx1m61	62	51	/	/	SYM
cord-152881-k1hx1m61	62	52	β	β	PROPN
cord-152881-k1hx1m61	62	53	.	.	PUNCT
cord-152881-k1hx1m61	63	1	proposition	proposition	NOUN
cord-152881-k1hx1m61	63	2	2.2	2.2	NUM
cord-152881-k1hx1m61	63	3	has	have	VERB
cord-152881-k1hx1m61	63	4	several	several	ADJ
cord-152881-k1hx1m61	63	5	policy	policy	NOUN
cord-152881-k1hx1m61	63	6	implications	implication	NOUN
cord-152881-k1hx1m61	63	7	for	for	ADP
cord-152881-k1hx1m61	63	8	dealing	deal	VERB
cord-152881-k1hx1m61	63	9	with	with	ADP
cord-152881-k1hx1m61	63	10	epidemics	epidemic	NOUN
cord-152881-k1hx1m61	63	11	.	.	PUNCT
cord-152881-k1hx1m61	64	1	first	first	ADV
cord-152881-k1hx1m61	64	2	,	,	PUNCT
cord-152881-k1hx1m61	64	3	the	the	DET
cord-152881-k1hx1m61	64	4	policy	policy	NOUN
cord-152881-k1hx1m61	64	5	maker	maker	NOUN
cord-152881-k1hx1m61	64	6	may	may	AUX
cord-152881-k1hx1m61	64	7	want	want	VERB
cord-152881-k1hx1m61	64	8	to	to	PART
cord-152881-k1hx1m61	64	9	prevent	prevent	VERB
cord-152881-k1hx1m61	64	10	an	an	DET
cord-152881-k1hx1m61	64	11	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	64	12	.	.	PUNCT
cord-152881-k1hx1m61	65	1	this	this	PRON
cord-152881-k1hx1m61	65	2	is	be	AUX
cord-152881-k1hx1m61	65	3	achieved	achieve	VERB
cord-152881-k1hx1m61	65	4	when	when	SCONJ
cord-152881-k1hx1m61	65	5	the	the	DET
cord-152881-k1hx1m61	65	6	condition	condition	NOUN
cord-152881-k1hx1m61	65	7	βx	βx	ADP
cord-152881-k1hx1m61	65	8	0	0	NUM
cord-152881-k1hx1m61	65	9	≤	≤	PROPN
cord-152881-k1hx1m61	66	1	γ	γ	PROPN
cord-152881-k1hx1m61	66	2	holds	hold	VERB
cord-152881-k1hx1m61	66	3	.	.	PUNCT
cord-152881-k1hx1m61	67	1	since	since	SCONJ
cord-152881-k1hx1m61	67	2	before	before	ADP
cord-152881-k1hx1m61	67	3	the	the	DET
cord-152881-k1hx1m61	67	4	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	67	5	the	the	DET
cord-152881-k1hx1m61	67	6	fraction	fraction	NOUN
cord-152881-k1hx1m61	67	7	of	of	ADP
cord-152881-k1hx1m61	67	8	infected	infected	ADJ
cord-152881-k1hx1m61	67	9	individuals	individual	NOUN
cord-152881-k1hx1m61	67	10	y	y	PROPN
cord-152881-k1hx1m61	67	11	0	0	PROPN
cord-152881-k1hx1m61	67	12	is	be	AUX
cord-152881-k1hx1m61	67	13	negligible	negligible	ADJ
cord-152881-k1hx1m61	67	14	,	,	PUNCT
cord-152881-k1hx1m61	67	15	we	we	PRON
cord-152881-k1hx1m61	67	16	can	can	AUX
cord-152881-k1hx1m61	67	17	rewrite	rewrite	VERB
cord-152881-k1hx1m61	67	18	the	the	DET
cord-152881-k1hx1m61	67	19	no	no	DET
cord-152881-k1hx1m61	67	20	-	-	PUNCT
cord-152881-k1hx1m61	67	21	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	67	22	condition	condition	NOUN
cord-152881-k1hx1m61	67	23	as	as	ADP
cord-152881-k1hx1m61	67	24	β(1−z	β(1−z	PROPN
cord-152881-k1hx1m61	67	25	0	0	PUNCT
cord-152881-k1hx1m61	67	26	)	)	PUNCT
cord-152881-k1hx1m61	68	1	≤	≤	X
cord-152881-k1hx1m61	69	1	γ	γ	PROPN
cord-152881-k1hx1m61	69	2	.	.	PUNCT
cord-152881-k1hx1m61	70	1	unlike	unlike	ADP
cord-152881-k1hx1m61	70	2	bacterial	bacterial	ADJ
cord-152881-k1hx1m61	70	3	infections	infection	NOUN
cord-152881-k1hx1m61	70	4	,	,	PUNCT
cord-152881-k1hx1m61	70	5	for	for	ADP
cord-152881-k1hx1m61	70	6	which	which	PRON
cord-152881-k1hx1m61	70	7	a	a	DET
cord-152881-k1hx1m61	70	8	large	large	ADJ
cord-152881-k1hx1m61	70	9	variety	variety	NOUN
cord-152881-k1hx1m61	70	10	of	of	ADP
cord-152881-k1hx1m61	70	11	antibiotics	antibiotic	NOUN
cord-152881-k1hx1m61	70	12	are	be	AUX
cord-152881-k1hx1m61	70	13	available	available	ADJ
cord-152881-k1hx1m61	70	14	,	,	PUNCT
cord-152881-k1hx1m61	70	15	there	there	PRON
cord-152881-k1hx1m61	70	16	is	be	VERB
cord-152881-k1hx1m61	70	17	generally	generally	ADV
cord-152881-k1hx1m61	70	18	no	no	DET
cord-152881-k1hx1m61	70	19	curative	curative	ADJ
cord-152881-k1hx1m61	70	20	care	care	NOUN
cord-152881-k1hx1m61	70	21	for	for	ADP
cord-152881-k1hx1m61	70	22	viral	viral	ADJ
cord-152881-k1hx1m61	70	23	infections	infection	NOUN
cord-152881-k1hx1m61	70	24	.	.	PUNCT
cord-152881-k1hx1m61	71	1	1	1	NUM
cord-152881-k1hx1m61	71	2	therefore	therefore	ADV
cord-152881-k1hx1m61	71	3	the	the	DET
cord-152881-k1hx1m61	71	4	recovery	recovery	NOUN
cord-152881-k1hx1m61	71	5	/	/	SYM
cord-152881-k1hx1m61	71	6	death	death	NOUN
cord-152881-k1hx1m61	71	7	rate	rate	NOUN
cord-152881-k1hx1m61	71	8	γ	γ	NOUN
cord-152881-k1hx1m61	71	9	is	be	AUX
cord-152881-k1hx1m61	71	10	generally	generally	ADV
cord-152881-k1hx1m61	71	11	out	out	ADP
cord-152881-k1hx1m61	71	12	of	of	ADP
cord-152881-k1hx1m61	71	13	control	control	NOUN
cord-152881-k1hx1m61	71	14	.	.	PUNCT
cord-152881-k1hx1m61	72	1	hence	hence	ADV
cord-152881-k1hx1m61	72	2	the	the	DET
cord-152881-k1hx1m61	72	3	only	only	ADJ
cord-152881-k1hx1m61	72	4	way	way	NOUN
cord-152881-k1hx1m61	72	5	to	to	PART
cord-152881-k1hx1m61	72	6	satisfy	satisfy	VERB
cord-152881-k1hx1m61	72	7	the	the	DET
cord-152881-k1hx1m61	72	8	no	no	DET
cord-152881-k1hx1m61	72	9	-	-	PUNCT
cord-152881-k1hx1m61	72	10	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	72	11	condition	condition	NOUN
cord-152881-k1hx1m61	72	12	β(1	β(1	PUNCT
cord-152881-k1hx1m61	72	13	−	−	PROPN
cord-152881-k1hx1m61	72	14	z	z	PROPN
cord-152881-k1hx1m61	72	15	0	0	PUNCT
cord-152881-k1hx1m61	72	16	)	)	PUNCT
cord-152881-k1hx1m61	73	1	≤	≤	PROPN
cord-152881-k1hx1m61	74	1	γ	γ	PROPN
cord-152881-k1hx1m61	74	2	is	be	AUX
cord-152881-k1hx1m61	74	3	either	either	CCONJ
cord-152881-k1hx1m61	74	4	(	(	PUNCT
cord-152881-k1hx1m61	74	5	i	i	NOUN
cord-152881-k1hx1m61	74	6	)	)	PUNCT
cord-152881-k1hx1m61	74	7	control	control	NOUN
cord-152881-k1hx1m61	74	8	transmission	transmission	NOUN
cord-152881-k1hx1m61	74	9	(	(	PUNCT
cord-152881-k1hx1m61	74	10	reduce	reduce	VERB
cord-152881-k1hx1m61	74	11	β	β	PROPN
cord-152881-k1hx1m61	74	12	)	)	PUNCT
cord-152881-k1hx1m61	74	13	,	,	PUNCT
cord-152881-k1hx1m61	74	14	for	for	ADP
cord-152881-k1hx1m61	74	15	example	example	NOUN
cord-152881-k1hx1m61	74	16	by	by	ADP
cord-152881-k1hx1m61	74	17	washing	washing	NOUN
cord-152881-k1hx1m61	74	18	hands	hand	NOUN
cord-152881-k1hx1m61	74	19	,	,	PUNCT
cord-152881-k1hx1m61	74	20	wearing	wear	VERB
cord-152881-k1hx1m61	74	21	protective	protective	ADJ
cord-152881-k1hx1m61	74	22	gear	gear	NOUN
cord-152881-k1hx1m61	74	23	,	,	PUNCT
cord-152881-k1hx1m61	74	24	restricting	restrict	VERB
cord-152881-k1hx1m61	74	25	travel	travel	NOUN
cord-152881-k1hx1m61	74	26	,	,	PUNCT
cord-152881-k1hx1m61	74	27	or	or	CCONJ
cord-152881-k1hx1m61	74	28	social	social	ADJ
cord-152881-k1hx1m61	74	29	distancing	distancing	NOUN
cord-152881-k1hx1m61	74	30	,	,	PUNCT
cord-152881-k1hx1m61	74	31	or	or	CCONJ
cord-152881-k1hx1m61	74	32	(	(	PUNCT
cord-152881-k1hx1m61	74	33	ii	ii	PROPN
cord-152881-k1hx1m61	74	34	)	)	PUNCT
cord-152881-k1hx1m61	74	35	immunization	immunization	NOUN
cord-152881-k1hx1m61	74	36	(	(	PUNCT
cord-152881-k1hx1m61	74	37	increase	increase	VERB
cord-152881-k1hx1m61	74	38	z	z	PROPN
cord-152881-k1hx1m61	74	39	0	0	NUM
cord-152881-k1hx1m61	74	40	)	)	PUNCT
cord-152881-k1hx1m61	74	41	.	.	PUNCT
cord-152881-k1hx1m61	75	1	the	the	DET
cord-152881-k1hx1m61	75	2	required	required	ADJ
cord-152881-k1hx1m61	75	3	minimum	minimum	ADJ
cord-152881-k1hx1m61	75	4	immunization	immunization	NOUN
cord-152881-k1hx1m61	75	5	rate	rate	NOUN
cord-152881-k1hx1m61	75	6	to	to	PART
cord-152881-k1hx1m61	75	7	prevent	prevent	VERB
cord-152881-k1hx1m61	75	8	an	an	DET
cord-152881-k1hx1m61	75	9	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	75	10	is	be	AUX
cord-152881-k1hx1m61	75	11	z	z	NOUN
cord-152881-k1hx1m61	75	12	0	0	NUM
cord-152881-k1hx1m61	75	13	=	=	SYM
cord-152881-k1hx1m61	75	14	1	1	NUM
cord-152881-k1hx1m61	75	15	−	−	SYM
cord-152881-k1hx1m61	75	16	γ	γ	NOUN
cord-152881-k1hx1m61	75	17	/	/	SYM
cord-152881-k1hx1m61	75	18	β	β	PROPN
cord-152881-k1hx1m61	75	19	.	.	PUNCT
cord-152881-k1hx1m61	76	1	second	second	ADV
cord-152881-k1hx1m61	76	2	,	,	PUNCT
cord-152881-k1hx1m61	76	3	the	the	DET
cord-152881-k1hx1m61	76	4	policy	policy	NOUN
cord-152881-k1hx1m61	76	5	maker	maker	NOUN
cord-152881-k1hx1m61	76	6	may	may	AUX
cord-152881-k1hx1m61	76	7	want	want	VERB
cord-152881-k1hx1m61	76	8	to	to	PART
cord-152881-k1hx1m61	76	9	limit	limit	VERB
cord-152881-k1hx1m61	76	10	the	the	DET
cord-152881-k1hx1m61	76	11	economic	economic	ADJ
cord-152881-k1hx1m61	76	12	impact	impact	NOUN
cord-152881-k1hx1m61	76	13	once	once	SCONJ
cord-152881-k1hx1m61	76	14	an	an	DET
cord-152881-k1hx1m61	76	15	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	76	16	occurs	occur	VERB
cord-152881-k1hx1m61	76	17	.	.	PUNCT
cord-152881-k1hx1m61	77	1	because	because	SCONJ
cord-152881-k1hx1m61	77	2	the	the	DET
cord-152881-k1hx1m61	77	3	supply	supply	NOUN
cord-152881-k1hx1m61	77	4	of	of	ADP
cord-152881-k1hx1m61	77	5	healthcare	healthcare	NOUN
cord-152881-k1hx1m61	77	6	services	service	NOUN
cord-152881-k1hx1m61	77	7	is	be	AUX
cord-152881-k1hx1m61	77	8	inelastic	inelastic	ADJ
cord-152881-k1hx1m61	77	9	in	in	ADP
cord-152881-k1hx1m61	77	10	the	the	DET
cord-152881-k1hx1m61	77	11	short	short	ADJ
cord-152881-k1hx1m61	77	12	run	run	NOUN
cord-152881-k1hx1m61	77	13	,	,	PUNCT
cord-152881-k1hx1m61	77	14	it	it	PRON
cord-152881-k1hx1m61	77	15	is	be	AUX
cord-152881-k1hx1m61	77	16	important	important	ADJ
cord-152881-k1hx1m61	77	17	to	to	PART
cord-152881-k1hx1m61	77	18	keep	keep	VERB
cord-152881-k1hx1m61	77	19	the	the	DET
cord-152881-k1hx1m61	77	20	maximum	maximum	ADJ
cord-152881-k1hx1m61	77	21	infection	infection	NOUN
cord-152881-k1hx1m61	77	22	rate	rate	NOUN
cord-152881-k1hx1m61	77	23	y	y	PROPN
cord-152881-k1hx1m61	77	24	max	max	PROPN
cord-152881-k1hx1m61	77	25	in	in	ADP
cord-152881-k1hx1m61	77	26	(	(	PUNCT
cord-152881-k1hx1m61	77	27	2.6	2.6	NUM
cord-152881-k1hx1m61	77	28	)	)	PUNCT
cord-152881-k1hx1m61	77	29	within	within	ADP
cord-152881-k1hx1m61	77	30	the	the	DET
cord-152881-k1hx1m61	77	31	capacity	capacity	NOUN
cord-152881-k1hx1m61	77	32	of	of	ADP
cord-152881-k1hx1m61	77	33	the	the	DET
cord-152881-k1hx1m61	77	34	existing	exist	VERB
cord-152881-k1hx1m61	77	35	healthcare	healthcare	NOUN
cord-152881-k1hx1m61	77	36	system	system	NOUN
cord-152881-k1hx1m61	77	37	.	.	PUNCT
cord-152881-k1hx1m61	78	1	this	this	PRON
cord-152881-k1hx1m61	78	2	is	be	AUX
cord-152881-k1hx1m61	78	3	achieved	achieve	VERB
cord-152881-k1hx1m61	78	4	by	by	ADP
cord-152881-k1hx1m61	78	5	lowering	lower	VERB
cord-152881-k1hx1m61	78	6	the	the	DET
cord-152881-k1hx1m61	78	7	transmission	transmission	NOUN
cord-152881-k1hx1m61	78	8	rate	rate	NOUN
cord-152881-k1hx1m61	78	9	β	β	NOUN
cord-152881-k1hx1m61	78	10	.	.	PUNCT
cord-152881-k1hx1m61	79	1	in	in	ADP
cord-152881-k1hx1m61	79	2	this	this	DET
cord-152881-k1hx1m61	79	3	section	section	NOUN
cord-152881-k1hx1m61	79	4	i	i	PRON
cord-152881-k1hx1m61	79	5	estimate	estimate	VERB
cord-152881-k1hx1m61	79	6	the	the	DET
cord-152881-k1hx1m61	79	7	sir	sir	PROPN
cord-152881-k1hx1m61	79	8	model	model	NOUN
cord-152881-k1hx1m61	79	9	in	in	ADP
cord-152881-k1hx1m61	79	10	section	section	NOUN
cord-152881-k1hx1m61	79	11	2	2	NUM
cord-152881-k1hx1m61	79	12	and	and	CCONJ
cord-152881-k1hx1m61	79	13	use	use	VERB
cord-152881-k1hx1m61	79	14	it	it	PRON
cord-152881-k1hx1m61	79	15	to	to	PART
cord-152881-k1hx1m61	79	16	predict	predict	VERB
cord-152881-k1hx1m61	79	17	the	the	DET
cord-152881-k1hx1m61	79	18	evolution	evolution	NOUN
cord-152881-k1hx1m61	79	19	of	of	ADP
cord-152881-k1hx1m61	79	20	the	the	DET
cord-152881-k1hx1m61	79	21	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	79	22	pandemic	pandemic	NOUN
cord-152881-k1hx1m61	79	23	.	.	PUNCT
cord-152881-k1hx1m61	80	1	the	the	DET
cord-152881-k1hx1m61	80	2	number	number	NOUN
cord-152881-k1hx1m61	80	3	of	of	ADP
cord-152881-k1hx1m61	80	4	cases	case	NOUN
cord-152881-k1hx1m61	80	5	of	of	ADP
cord-152881-k1hx1m61	80	6	covid-19	covid-19	NUM
cord-152881-k1hx1m61	80	7	is	be	AUX
cord-152881-k1hx1m61	80	8	provided	provide	VERB
cord-152881-k1hx1m61	80	9	by	by	ADP
cord-152881-k1hx1m61	80	10	center	center	NOUN
cord-152881-k1hx1m61	80	11	for	for	ADP
cord-152881-k1hx1m61	80	12	systems	system	NOUN
cord-152881-k1hx1m61	80	13	science	science	NOUN
cord-152881-k1hx1m61	80	14	and	and	CCONJ
cord-152881-k1hx1m61	80	15	engineering	engineering	NOUN
cord-152881-k1hx1m61	80	16	at	at	ADP
cord-152881-k1hx1m61	80	17	johns	johns	PROPN
cord-152881-k1hx1m61	80	18	hopkins	hopkins	PROPN
cord-152881-k1hx1m61	80	19	university	university	PROPN
cord-152881-k1hx1m61	80	20	(	(	PUNCT
cord-152881-k1hx1m61	80	21	henceforth	henceforth	ADV
cord-152881-k1hx1m61	80	22	csse	csse	ADJ
cord-152881-k1hx1m61	80	23	)	)	PUNCT
cord-152881-k1hx1m61	80	24	.	.	PUNCT
cord-152881-k1hx1m61	81	1	the	the	DET
cord-152881-k1hx1m61	81	2	cumulative	cumulative	ADJ
cord-152881-k1hx1m61	81	3	number	number	NOUN
cord-152881-k1hx1m61	81	4	of	of	ADP
cord-152881-k1hx1m61	81	5	confirmed	confirm	VERB
cord-152881-k1hx1m61	81	6	cases	case	NOUN
cord-152881-k1hx1m61	81	7	and	and	CCONJ
cord-152881-k1hx1m61	81	8	deaths	death	NOUN
cord-152881-k1hx1m61	81	9	can	can	AUX
cord-152881-k1hx1m61	81	10	be	be	AUX
cord-152881-k1hx1m61	81	11	downloaded	download	VERB
cord-152881-k1hx1m61	81	12	from	from	ADP
cord-152881-k1hx1m61	81	13	the	the	DET
cord-152881-k1hx1m61	81	14	github	github	PROPN
cord-152881-k1hx1m61	81	15	repository	repository	PROPN
cord-152881-k1hx1m61	81	16	.	.	PUNCT
cord-152881-k1hx1m61	82	1	2	2	NUM
cord-152881-k1hx1m61	82	2	the	the	DET
cord-152881-k1hx1m61	82	3	time	time	NOUN
cord-152881-k1hx1m61	82	4	series	series	NOUN
cord-152881-k1hx1m61	82	5	starts	start	VERB
cord-152881-k1hx1m61	82	6	on	on	ADP
cord-152881-k1hx1m61	82	7	january	january	PROPN
cord-152881-k1hx1m61	82	8	22	22	NUM
cord-152881-k1hx1m61	82	9	,	,	PUNCT
cord-152881-k1hx1m61	82	10	2020	2020	NUM
cord-152881-k1hx1m61	82	11	and	and	CCONJ
cord-152881-k1hx1m61	82	12	is	be	AUX
cord-152881-k1hx1m61	82	13	updated	update	VERB
cord-152881-k1hx1m61	82	14	daily	daily	ADV
cord-152881-k1hx1m61	82	15	.	.	PUNCT
cord-152881-k1hx1m61	83	1	because	because	SCONJ
cord-152881-k1hx1m61	83	2	countries	country	NOUN
cord-152881-k1hx1m61	83	3	are	be	AUX
cord-152881-k1hx1m61	83	4	added	add	VERB
cord-152881-k1hx1m61	83	5	as	as	SCONJ
cord-152881-k1hx1m61	83	6	new	new	ADJ
cord-152881-k1hx1m61	83	7	cases	case	NOUN
cord-152881-k1hx1m61	83	8	are	be	AUX
cord-152881-k1hx1m61	83	9	reported	report	VERB
cord-152881-k1hx1m61	83	10	,	,	PUNCT
cord-152881-k1hx1m61	83	11	the	the	DET
cord-152881-k1hx1m61	83	12	cross	cross	ADJ
cord-152881-k1hx1m61	83	13	-	-	ADJ
cord-152881-k1hx1m61	83	14	sectional	sectional	ADJ
cord-152881-k1hx1m61	83	15	size	size	NOUN
cord-152881-k1hx1m61	83	16	increases	increase	VERB
cord-152881-k1hx1m61	83	17	every	every	DET
cord-152881-k1hx1m61	83	18	day	day	NOUN
cord-152881-k1hx1m61	83	19	.	.	PUNCT
cord-152881-k1hx1m61	84	1	for	for	ADP
cord-152881-k1hx1m61	84	2	the	the	DET
cord-152881-k1hx1m61	84	3	majority	majority	NOUN
cord-152881-k1hx1m61	84	4	of	of	ADP
cord-152881-k1hx1m61	84	5	countries	country	NOUN
cord-152881-k1hx1m61	84	6	,	,	PUNCT
cord-152881-k1hx1m61	84	7	the	the	DET
cord-152881-k1hx1m61	84	8	csse	csse	ADJ
cord-152881-k1hx1m61	84	9	data	datum	NOUN
cord-152881-k1hx1m61	84	10	are	be	AUX
cord-152881-k1hx1m61	84	11	at	at	ADP
cord-152881-k1hx1m61	84	12	country	country	NOUN
cord-152881-k1hx1m61	84	13	level	level	NOUN
cord-152881-k1hx1m61	84	14	.	.	PUNCT
cord-152881-k1hx1m61	85	1	however	however	ADV
cord-152881-k1hx1m61	85	2	,	,	PUNCT
cord-152881-k1hx1m61	85	3	for	for	ADP
cord-152881-k1hx1m61	85	4	some	some	DET
cord-152881-k1hx1m61	85	5	countries	country	NOUN
cord-152881-k1hx1m61	85	6	such	such	ADJ
cord-152881-k1hx1m61	85	7	as	as	ADP
cord-152881-k1hx1m61	85	8	australia	australia	PROPN
cord-152881-k1hx1m61	85	9	,	,	PUNCT
cord-152881-k1hx1m61	85	10	canada	canada	PROPN
cord-152881-k1hx1m61	85	11	,	,	PUNCT
cord-152881-k1hx1m61	85	12	and	and	CCONJ
cord-152881-k1hx1m61	85	13	china	china	PROPN
cord-152881-k1hx1m61	85	14	,	,	PUNCT
cord-152881-k1hx1m61	85	15	regional	regional	ADJ
cord-152881-k1hx1m61	85	16	data	datum	NOUN
cord-152881-k1hx1m61	85	17	at	at	ADP
cord-152881-k1hx1m61	85	18	the	the	DET
cord-152881-k1hx1m61	85	19	level	level	NOUN
cord-152881-k1hx1m61	85	20	of	of	ADP
cord-152881-k1hx1m61	85	21	province	province	NOUN
cord-152881-k1hx1m61	85	22	or	or	CCONJ
cord-152881-k1hx1m61	85	23	state	state	NOUN
cord-152881-k1hx1m61	85	24	are	be	AUX
cord-152881-k1hx1m61	85	25	available	available	ADJ
cord-152881-k1hx1m61	85	26	.	.	PUNCT
cord-152881-k1hx1m61	86	1	in	in	ADP
cord-152881-k1hx1m61	86	2	such	such	ADJ
cord-152881-k1hx1m61	86	3	countries	country	NOUN
cord-152881-k1hx1m61	86	4	,	,	PUNCT
cord-152881-k1hx1m61	86	5	i	i	PRON
cord-152881-k1hx1m61	86	6	aggregate	aggregate	VERB
cord-152881-k1hx1m61	86	7	across	across	ADP
cord-152881-k1hx1m61	86	8	regions	region	NOUN
cord-152881-k1hx1m61	86	9	and	and	CCONJ
cord-152881-k1hx1m61	86	10	use	use	VERB
cord-152881-k1hx1m61	86	11	the	the	DET
cord-152881-k1hx1m61	86	12	country	country	NOUN
cord-152881-k1hx1m61	86	13	level	level	NOUN
cord-152881-k1hx1m61	86	14	data	datum	NOUN
cord-152881-k1hx1m61	86	15	.	.	PUNCT
cord-152881-k1hx1m61	87	1	figure	figure	NOUN
cord-152881-k1hx1m61	87	2	1	1	NUM
cord-152881-k1hx1m61	87	3	shows	show	VERB
cord-152881-k1hx1m61	87	4	the	the	DET
cord-152881-k1hx1m61	87	5	number	number	NOUN
cord-152881-k1hx1m61	87	6	of	of	ADP
cord-152881-k1hx1m61	87	7	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	87	8	cases	case	NOUN
cord-152881-k1hx1m61	87	9	in	in	ADP
cord-152881-k1hx1m61	87	10	early	early	ADJ
cord-152881-k1hx1m61	87	11	epicenters	epicenter	NOUN
cord-152881-k1hx1m61	87	12	,	,	PUNCT
cord-152881-k1hx1m61	87	13	namely	namely	ADV
cord-152881-k1hx1m61	87	14	china	china	PROPN
cord-152881-k1hx1m61	87	15	,	,	PUNCT
cord-152881-k1hx1m61	87	16	iran	iran	PROPN
cord-152881-k1hx1m61	87	17	,	,	PUNCT
cord-152881-k1hx1m61	87	18	italy	italy	PROPN
cord-152881-k1hx1m61	87	19	,	,	PUNCT
cord-152881-k1hx1m61	87	20	japan	japan	PROPN
cord-152881-k1hx1m61	87	21	,	,	PUNCT
cord-152881-k1hx1m61	87	22	and	and	CCONJ
cord-152881-k1hx1m61	87	23	korea	korea	PROPN
cord-152881-k1hx1m61	87	24	.	.	PUNCT
cord-152881-k1hx1m61	88	1	estimation	estimation	NOUN
cord-152881-k1hx1m61	88	2	of	of	ADP
cord-152881-k1hx1m61	88	3	the	the	DET
cord-152881-k1hx1m61	88	4	model	model	NOUN
cord-152881-k1hx1m61	88	5	poses	pose	VERB
cord-152881-k1hx1m61	88	6	significant	significant	ADJ
cord-152881-k1hx1m61	88	7	challenges	challenge	NOUN
cord-152881-k1hx1m61	88	8	because	because	SCONJ
cord-152881-k1hx1m61	88	9	the	the	DET
cord-152881-k1hx1m61	88	10	situation	situation	NOUN
cord-152881-k1hx1m61	88	11	of	of	ADP
cord-152881-k1hx1m61	88	12	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	88	13	is	be	AUX
cord-152881-k1hx1m61	88	14	rapidly	rapidly	ADV
cord-152881-k1hx1m61	88	15	evolving	evolve	VERB
cord-152881-k1hx1m61	88	16	.	.	PUNCT
cord-152881-k1hx1m61	89	1	the	the	DET
cord-152881-k1hx1m61	89	2	model	model	NOUN
cord-152881-k1hx1m61	89	3	parameters	parameter	NOUN
cord-152881-k1hx1m61	89	4	are	be	AUX
cord-152881-k1hx1m61	89	5	likely	likely	ADJ
cord-152881-k1hx1m61	89	6	time	time	NOUN
cord-152881-k1hx1m61	89	7	-	-	PUNCT
cord-152881-k1hx1m61	89	8	varying	vary	VERB
cord-152881-k1hx1m61	89	9	because	because	SCONJ
cord-152881-k1hx1m61	89	10	new	new	ADJ
cord-152881-k1hx1m61	89	11	policies	policy	NOUN
cord-152881-k1hx1m61	89	12	are	be	AUX
cord-152881-k1hx1m61	89	13	introduced	introduce	VERB
cord-152881-k1hx1m61	89	14	on	on	ADP
cord-152881-k1hx1m61	89	15	a	a	DET
cord-152881-k1hx1m61	89	16	day	day	NOUN
cord-152881-k1hx1m61	89	17	-	-	PUNCT
cord-152881-k1hx1m61	89	18	to	to	ADP
cord-152881-k1hx1m61	89	19	-	-	PUNCT
cord-152881-k1hx1m61	89	20	day	day	NOUN
cord-152881-k1hx1m61	89	21	basis	basis	NOUN
cord-152881-k1hx1m61	89	22	,	,	PUNCT
cord-152881-k1hx1m61	89	23	temperature	temperature	NOUN
cord-152881-k1hx1m61	89	24	and	and	CCONJ
cord-152881-k1hx1m61	89	25	weather	weather	NOUN
cord-152881-k1hx1m61	89	26	may	may	AUX
cord-152881-k1hx1m61	89	27	affect	affect	VERB
cord-152881-k1hx1m61	89	28	the	the	DET
cord-152881-k1hx1m61	89	29	virus	virus	NOUN
cord-152881-k1hx1m61	89	30	activity	activity	NOUN
cord-152881-k1hx1m61	89	31	,	,	PUNCT
cord-152881-k1hx1m61	89	32	and	and	CCONJ
cord-152881-k1hx1m61	89	33	the	the	DET
cord-152881-k1hx1m61	89	34	virus	virus	NOUN
cord-152881-k1hx1m61	89	35	itself	itself	PRON
cord-152881-k1hx1m61	89	36	my	my	PRON
cord-152881-k1hx1m61	89	37	genetically	genetically	ADV
cord-152881-k1hx1m61	89	38	mutate	mutate	ADJ
cord-152881-k1hx1m61	89	39	.	.	PUNCT
cord-152881-k1hx1m61	90	1	for	for	ADP
cord-152881-k1hx1m61	90	2	this	this	DET
cord-152881-k1hx1m61	90	3	reason	reason	NOUN
cord-152881-k1hx1m61	90	4	,	,	PUNCT
cord-152881-k1hx1m61	90	5	i	i	PRON
cord-152881-k1hx1m61	90	6	only	only	ADV
cord-152881-k1hx1m61	90	7	use	use	VERB
cord-152881-k1hx1m61	90	8	the	the	DET
cord-152881-k1hx1m61	90	9	data	datum	NOUN
cord-152881-k1hx1m61	90	10	from	from	ADP
cord-152881-k1hx1m61	90	11	the	the	DET
cord-152881-k1hx1m61	90	12	two	two	NUM
cord-152881-k1hx1m61	90	13	most	most	ADV
cord-152881-k1hx1m61	90	14	recent	recent	ADJ
cord-152881-k1hx1m61	90	15	weeks	week	NOUN
cord-152881-k1hx1m61	90	16	(	(	PUNCT
cord-152881-k1hx1m61	90	17	14	14	NUM
cord-152881-k1hx1m61	90	18	days	day	NOUN
cord-152881-k1hx1m61	90	19	)	)	PUNCT
cord-152881-k1hx1m61	90	20	.	.	PUNCT
cord-152881-k1hx1m61	91	1	i	i	PRON
cord-152881-k1hx1m61	91	2	estimate	estimate	VERB
cord-152881-k1hx1m61	91	3	the	the	DET
cord-152881-k1hx1m61	91	4	model	model	NOUN
cord-152881-k1hx1m61	91	5	parameters	parameter	NOUN
cord-152881-k1hx1m61	91	6	by	by	ADP
cord-152881-k1hx1m61	91	7	nonlinear	nonlinear	ADJ
cord-152881-k1hx1m61	91	8	least	least	ADJ
cord-152881-k1hx1m61	91	9	squares	square	NOUN
cord-152881-k1hx1m61	91	10	,	,	PUNCT
cord-152881-k1hx1m61	91	11	minimizing	minimize	VERB
cord-152881-k1hx1m61	91	12	the	the	DET
cord-152881-k1hx1m61	91	13	distance	distance	NOUN
cord-152881-k1hx1m61	91	14	between	between	ADP
cord-152881-k1hx1m61	91	15	model	model	NOUN
cord-152881-k1hx1m61	91	16	outputs	output	NOUN
cord-152881-k1hx1m61	91	17	(	(	PUNCT
cord-152881-k1hx1m61	91	18	x	x	PROPN
cord-152881-k1hx1m61	91	19	,	,	PROPN
cord-152881-k1hx1m61	91	20	y	y	PROPN
cord-152881-k1hx1m61	91	21	,	,	PUNCT
cord-152881-k1hx1m61	91	22	z	z	PROPN
cord-152881-k1hx1m61	91	23	)	)	PUNCT
cord-152881-k1hx1m61	91	24	and	and	CCONJ
cord-152881-k1hx1m61	91	25	data	datum	NOUN
cord-152881-k1hx1m61	91	26	.	.	PUNCT
cord-152881-k1hx1m61	92	1	because	because	SCONJ
cord-152881-k1hx1m61	92	2	the	the	DET
cord-152881-k1hx1m61	92	3	csse	csse	ADJ
cord-152881-k1hx1m61	92	4	data	datum	NOUN
cord-152881-k1hx1m61	92	5	only	only	ADV
cord-152881-k1hx1m61	92	6	contains	contain	VERB
cord-152881-k1hx1m61	92	7	confirmed	confirm	VERB
cord-152881-k1hx1m61	92	8	cases	case	NOUN
cord-152881-k1hx1m61	92	9	and	and	CCONJ
cord-152881-k1hx1m61	92	10	deaths	death	NOUN
cord-152881-k1hx1m61	92	11	,	,	PUNCT
cord-152881-k1hx1m61	92	12	but	but	CCONJ
cord-152881-k1hx1m61	92	13	the	the	DET
cord-152881-k1hx1m61	92	14	sir	sir	PROPN
cord-152881-k1hx1m61	92	15	model	model	NOUN
cord-152881-k1hx1m61	92	16	abstracts	abstract	VERB
cord-152881-k1hx1m61	92	17	from	from	ADP
cord-152881-k1hx1m61	92	18	death	death	NOUN
cord-152881-k1hx1m61	92	19	,	,	PUNCT
cord-152881-k1hx1m61	92	20	i	i	PRON
cord-152881-k1hx1m61	92	21	define	define	VERB
cord-152881-k1hx1m61	92	22	c	c	PROPN
cord-152881-k1hx1m61	92	23	=	=	SYM
cord-152881-k1hx1m61	92	24	y	y	NOUN
cord-152881-k1hx1m61	92	25	+	+	CCONJ
cord-152881-k1hx1m61	92	26	z	z	NOUN
cord-152881-k1hx1m61	92	27	=	=	NOUN
cord-152881-k1hx1m61	92	28	1	1	NUM
cord-152881-k1hx1m61	92	29	−	−	NOUN
cord-152881-k1hx1m61	92	30	x	x	NOUN
cord-152881-k1hx1m61	92	31	to	to	PART
cord-152881-k1hx1m61	92	32	be	be	AUX
cord-152881-k1hx1m61	92	33	the	the	DET
cord-152881-k1hx1m61	92	34	fraction	fraction	NOUN
cord-152881-k1hx1m61	92	35	of	of	ADP
cord-152881-k1hx1m61	92	36	infected	infected	ADJ
cord-152881-k1hx1m61	92	37	or	or	CCONJ
cord-152881-k1hx1m61	92	38	recovered	recover	VERB
cord-152881-k1hx1m61	92	39	cases	case	NOUN
cord-152881-k1hx1m61	92	40	in	in	ADP
cord-152881-k1hx1m61	92	41	the	the	DET
cord-152881-k1hx1m61	92	42	model	model	NOUN
cord-152881-k1hx1m61	92	43	.	.	PUNCT
cord-152881-k1hx1m61	93	1	the	the	DET
cord-152881-k1hx1m61	93	2	counterpart	counterpart	NOUN
cord-152881-k1hx1m61	93	3	in	in	ADP
cord-152881-k1hx1m61	93	4	the	the	DET
cord-152881-k1hx1m61	93	5	data	datum	NOUN
cord-152881-k1hx1m61	93	6	is	be	AUX
cord-152881-k1hx1m61	93	7	c	c	NOUN
cord-152881-k1hx1m61	93	8	=	=	X
cord-152881-k1hx1m61	93	9	c	c	NOUN
cord-152881-k1hx1m61	93	10	/	/	SYM
cord-152881-k1hx1m61	93	11	n	n	NOUN
cord-152881-k1hx1m61	93	12	,	,	PUNCT
cord-152881-k1hx1m61	93	13	where	where	SCONJ
cord-152881-k1hx1m61	93	14	c	c	PROPN
cord-152881-k1hx1m61	93	15	is	be	AUX
cord-152881-k1hx1m61	93	16	the	the	DET
cord-152881-k1hx1m61	93	17	number	number	NOUN
cord-152881-k1hx1m61	93	18	of	of	ADP
cord-152881-k1hx1m61	93	19	confirmed	confirm	VERB
cord-152881-k1hx1m61	93	20	cases	case	NOUN
cord-152881-k1hx1m61	93	21	and	and	CCONJ
cord-152881-k1hx1m61	93	22	n	n	ADV
cord-152881-k1hx1m61	93	23	is	be	AUX
cord-152881-k1hx1m61	93	24	population	population	NOUN
cord-152881-k1hx1m61	93	25	.	.	PUNCT
cord-152881-k1hx1m61	94	1	3	3	NUM
cord-152881-k1hx1m61	94	2	because	because	SCONJ
cord-152881-k1hx1m61	94	3	the	the	DET
cord-152881-k1hx1m61	94	4	number	number	NOUN
cord-152881-k1hx1m61	94	5	of	of	ADP
cord-152881-k1hx1m61	94	6	cases	case	NOUN
cord-152881-k1hx1m61	94	7	grows	grow	VERB
cord-152881-k1hx1m61	94	8	by	by	ADP
cord-152881-k1hx1m61	94	9	many	many	ADJ
cord-152881-k1hx1m61	94	10	orders	order	NOUN
cord-152881-k1hx1m61	94	11	of	of	ADP
cord-152881-k1hx1m61	94	12	magnitude	magnitude	NOUN
cord-152881-k1hx1m61	94	13	within	within	ADP
cord-152881-k1hx1m61	94	14	a	a	DET
cord-152881-k1hx1m61	94	15	short	short	ADJ
cord-152881-k1hx1m61	94	16	period	period	NOUN
cord-152881-k1hx1m61	94	17	of	of	ADP
cord-152881-k1hx1m61	94	18	time	time	NOUN
cord-152881-k1hx1m61	94	19	,	,	PUNCT
cord-152881-k1hx1m61	94	20	i	i	PRON
cord-152881-k1hx1m61	94	21	define	define	VERB
cord-152881-k1hx1m61	94	22	the	the	DET
cord-152881-k1hx1m61	94	23	loss	loss	NOUN
cord-152881-k1hx1m61	94	24	function	function	NOUN
cord-152881-k1hx1m61	94	25	using	use	VERB
cord-152881-k1hx1m61	94	26	log	log	NOUN
cord-152881-k1hx1m61	94	27	cases	case	NOUN
cord-152881-k1hx1m61	94	28	:	:	PUNCT
cord-152881-k1hx1m61	94	29	since	since	SCONJ
cord-152881-k1hx1m61	94	30	i	i	PRON
cord-152881-k1hx1m61	94	31	only	only	ADV
cord-152881-k1hx1m61	94	32	include	include	VERB
cord-152881-k1hx1m61	94	33	c	c	NOUN
cord-152881-k1hx1m61	94	34	in	in	ADP
cord-152881-k1hx1m61	94	35	the	the	DET
cord-152881-k1hx1m61	94	36	loss	loss	NOUN
cord-152881-k1hx1m61	94	37	function	function	NOUN
cord-152881-k1hx1m61	94	38	(	(	PUNCT
cord-152881-k1hx1m61	94	39	3.1	3.1	NUM
cord-152881-k1hx1m61	94	40	)	)	PUNCT
cord-152881-k1hx1m61	94	41	,	,	PUNCT
cord-152881-k1hx1m61	94	42	the	the	DET
cord-152881-k1hx1m61	94	43	parameters	parameter	NOUN
cord-152881-k1hx1m61	94	44	γ	γ	PROPN
cord-152881-k1hx1m61	94	45	and	and	CCONJ
cord-152881-k1hx1m61	94	46	z	z	NUM
cord-152881-k1hx1m61	94	47	0	0	NUM
cord-152881-k1hx1m61	94	48	,	,	PUNCT
cord-152881-k1hx1m61	94	49	which	which	PRON
cord-152881-k1hx1m61	94	50	govern	govern	VERB
cord-152881-k1hx1m61	94	51	the	the	DET
cord-152881-k1hx1m61	94	52	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	94	53	of	of	ADP
cord-152881-k1hx1m61	94	54	fraction	fraction	NOUN
cord-152881-k1hx1m61	94	55	of	of	ADP
cord-152881-k1hx1m61	94	56	recovered	recover	VERB
cord-152881-k1hx1m61	94	57	z	z	PROPN
cord-152881-k1hx1m61	94	58	,	,	PUNCT
cord-152881-k1hx1m61	94	59	are	be	AUX
cord-152881-k1hx1m61	94	60	not	not	PART
cord-152881-k1hx1m61	94	61	identified	identify	VERB
cord-152881-k1hx1m61	94	62	.	.	PUNCT
cord-152881-k1hx1m61	95	1	therefore	therefore	ADV
cord-152881-k1hx1m61	95	2	i	i	PRON
cord-152881-k1hx1m61	95	3	exogenously	exogenously	ADV
cord-152881-k1hx1m61	95	4	fix	fix	VERB
cord-152881-k1hx1m61	95	5	these	these	DET
cord-152881-k1hx1m61	95	6	two	two	NUM
cord-152881-k1hx1m61	95	7	parameters	parameter	NOUN
cord-152881-k1hx1m61	95	8	.	.	PUNCT
cord-152881-k1hx1m61	96	1	for	for	ADP
cord-152881-k1hx1m61	96	2	the	the	DET
cord-152881-k1hx1m61	96	3	recovery	recovery	NOUN
cord-152881-k1hx1m61	96	4	rate	rate	NOUN
cord-152881-k1hx1m61	96	5	γ	γ	PROPN
cord-152881-k1hx1m61	96	6	,	,	PUNCT
cord-152881-k1hx1m61	96	7	because	because	SCONJ
cord-152881-k1hx1m61	96	8	the	the	DET
cord-152881-k1hx1m61	96	9	majority	majority	NOUN
cord-152881-k1hx1m61	96	10	of	of	ADP
cord-152881-k1hx1m61	96	11	patients	patient	NOUN
cord-152881-k1hx1m61	96	12	with	with	ADP
cord-152881-k1hx1m61	96	13	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	96	14	experience	experience	VERB
cord-152881-k1hx1m61	96	15	mild	mild	ADJ
cord-152881-k1hx1m61	96	16	symptoms	symptom	NOUN
cord-152881-k1hx1m61	96	17	that	that	PRON
cord-152881-k1hx1m61	96	18	resemble	resemble	VERB
cord-152881-k1hx1m61	96	19	a	a	DET
cord-152881-k1hx1m61	96	20	common	common	ADJ
cord-152881-k1hx1m61	96	21	cold	cold	NOUN
cord-152881-k1hx1m61	96	22	or	or	CCONJ
cord-152881-k1hx1m61	96	23	influenza	influenza	NOUN
cord-152881-k1hx1m61	96	24	(	(	PUNCT
cord-152881-k1hx1m61	96	25	zhou	zhou	PROPN
cord-152881-k1hx1m61	96	26	et	et	X
cord-152881-k1hx1m61	96	27	al	al	PROPN
cord-152881-k1hx1m61	96	28	.	.	PROPN
cord-152881-k1hx1m61	96	29	,	,	PUNCT
cord-152881-k1hx1m61	96	30	2020	2020	NUM
cord-152881-k1hx1m61	96	31	)	)	PUNCT
cord-152881-k1hx1m61	96	32	,	,	PUNCT
cord-152881-k1hx1m61	96	33	which	which	PRON
cord-152881-k1hx1m61	96	34	takes	take	VERB
cord-152881-k1hx1m61	96	35	about	about	ADV
cord-152881-k1hx1m61	96	36	10	10	NUM
cord-152881-k1hx1m61	96	37	days	day	NOUN
cord-152881-k1hx1m61	96	38	to	to	PART
cord-152881-k1hx1m61	96	39	recover	recover	VERB
cord-152881-k1hx1m61	96	40	,	,	PUNCT
cord-152881-k1hx1m61	96	41	i	i	PRON
cord-152881-k1hx1m61	96	42	set	set	VERB
cord-152881-k1hx1m61	96	43	γ	γ	X
cord-152881-k1hx1m61	96	44	=	=	SYM
cord-152881-k1hx1m61	96	45	1/10	1/10	NUM
cord-152881-k1hx1m61	96	46	=	=	SYM
cord-152881-k1hx1m61	96	47	0.1	0.1	NUM
cord-152881-k1hx1m61	96	48	.	.	PUNCT
cord-152881-k1hx1m61	97	1	for	for	ADP
cord-152881-k1hx1m61	97	2	z	z	PROPN
cord-152881-k1hx1m61	97	3	0	0	NUM
cord-152881-k1hx1m61	97	4	,	,	PUNCT
cord-152881-k1hx1m61	97	5	i	i	PRON
cord-152881-k1hx1m61	97	6	set	set	VERB
cord-152881-k1hx1m61	97	7	it	it	PRON
cord-152881-k1hx1m61	97	8	to	to	ADP
cord-152881-k1hx1m61	97	9	one	one	NUM
cord-152881-k1hx1m61	97	10	divided	divide	VERB
cord-152881-k1hx1m61	97	11	by	by	ADP
cord-152881-k1hx1m61	97	12	population	population	NOUN
cord-152881-k1hx1m61	97	13	.	.	PUNCT
cord-152881-k1hx1m61	98	1	4	4	NUM
cord-152881-k1hx1m61	98	2	although	although	SCONJ
cord-152881-k1hx1m61	98	3	the	the	DET
cord-152881-k1hx1m61	98	4	fraction	fraction	NOUN
cord-152881-k1hx1m61	98	5	of	of	ADP
cord-152881-k1hx1m61	98	6	cases	case	NOUN
cord-152881-k1hx1m61	98	7	c(t	c(t	PROPN
cord-152881-k1hx1m61	98	8	)	)	PUNCT
cord-152881-k1hx1m61	98	9	is	be	AUX
cord-152881-k1hx1m61	98	10	likely	likely	ADV
cord-152881-k1hx1m61	98	11	significantly	significantly	ADV
cord-152881-k1hx1m61	98	12	underestimated	underestimate	VERB
cord-152881-k1hx1m61	98	13	because	because	SCONJ
cord-152881-k1hx1m61	98	14	infected	infected	ADJ
cord-152881-k1hx1m61	98	15	individuals	individual	NOUN
cord-152881-k1hx1m61	98	16	do	do	AUX
cord-152881-k1hx1m61	98	17	not	not	PART
cord-152881-k1hx1m61	98	18	appear	appear	VERB
cord-152881-k1hx1m61	98	19	in	in	ADP
cord-152881-k1hx1m61	98	20	the	the	DET
cord-152881-k1hx1m61	98	21	data	datum	NOUN
cord-152881-k1hx1m61	98	22	unless	unless	SCONJ
cord-152881-k1hx1m61	98	23	they	they	PRON
cord-152881-k1hx1m61	98	24	are	be	AUX
cord-152881-k1hx1m61	98	25	tested	test	VERB
cord-152881-k1hx1m61	98	26	,	,	PUNCT
cord-152881-k1hx1m61	98	27	it	it	PRON
cord-152881-k1hx1m61	98	28	does	do	AUX
cord-152881-k1hx1m61	98	29	not	not	PART
cord-152881-k1hx1m61	98	30	cause	cause	VERB
cord-152881-k1hx1m61	98	31	problems	problem	NOUN
cord-152881-k1hx1m61	98	32	for	for	ADP
cord-152881-k1hx1m61	98	33	estimating	estimate	VERB
cord-152881-k1hx1m61	98	34	the	the	DET
cord-152881-k1hx1m61	98	35	parameter	parameter	NOUN
cord-152881-k1hx1m61	98	36	of	of	ADP
cord-152881-k1hx1m61	98	37	interest	interest	NOUN
cord-152881-k1hx1m61	98	38	(	(	PUNCT
cord-152881-k1hx1m61	98	39	the	the	DET
cord-152881-k1hx1m61	98	40	transmission	transmission	NOUN
cord-152881-k1hx1m61	98	41	rate	rate	NOUN
cord-152881-k1hx1m61	98	42	β	β	NOUN
cord-152881-k1hx1m61	98	43	)	)	PUNCT
cord-152881-k1hx1m61	98	44	because	because	SCONJ
cord-152881-k1hx1m61	98	45	under	under	ADP
cord-152881-k1hx1m61	98	46	-	-	PUNCT
cord-152881-k1hx1m61	98	47	reporting	reporting	NOUN
cord-152881-k1hx1m61	98	48	is	be	AUX
cord-152881-k1hx1m61	98	49	absorbed	absorb	VERB
cord-152881-k1hx1m61	98	50	by	by	ADP
cord-152881-k1hx1m61	98	51	the	the	DET
cord-152881-k1hx1m61	98	52	constant	constant	ADJ
cord-152881-k1hx1m61	98	53	y	y	PROPN
cord-152881-k1hx1m61	98	54	0	0	X
cord-152881-k1hx1m61	98	55	in	in	ADP
cord-152881-k1hx1m61	98	56	(	(	PUNCT
cord-152881-k1hx1m61	98	57	2.3b	2.3b	NUM
cord-152881-k1hx1m61	98	58	)	)	PUNCT
cord-152881-k1hx1m61	98	59	,	,	PUNCT
cord-152881-k1hx1m61	98	60	which	which	PRON
cord-152881-k1hx1m61	98	61	only	only	ADV
cord-152881-k1hx1m61	98	62	affects	affect	VERB
cord-152881-k1hx1m61	98	63	the	the	DET
cord-152881-k1hx1m61	98	64	onset	onset	NOUN
cord-152881-k1hx1m61	98	65	of	of	ADP
cord-152881-k1hx1m61	98	66	the	the	DET
cord-152881-k1hx1m61	98	67	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	98	68	by	by	ADP
cord-152881-k1hx1m61	98	69	a	a	DET
cord-152881-k1hx1m61	98	70	few	few	ADJ
cord-152881-k1hx1m61	98	71	weeks	week	NOUN
cord-152881-k1hx1m61	98	72	without	without	ADP
cord-152881-k1hx1m61	98	73	changing	change	VERB
cord-152881-k1hx1m61	98	74	the	the	DET
cord-152881-k1hx1m61	98	75	overall	overall	ADJ
cord-152881-k1hx1m61	98	76	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	98	77	(	(	PUNCT
cord-152881-k1hx1m61	98	78	see	see	VERB
cord-152881-k1hx1m61	98	79	figure	figure	NOUN
cord-152881-k1hx1m61	98	80	5	5	NUM
cord-152881-k1hx1m61	98	81	)	)	PUNCT
cord-152881-k1hx1m61	98	82	.	.	PUNCT
cord-152881-k1hx1m61	99	1	to	to	PART
cord-152881-k1hx1m61	99	2	sum	sum	VERB
cord-152881-k1hx1m61	99	3	up	up	ADP
cord-152881-k1hx1m61	99	4	,	,	PUNCT
cord-152881-k1hx1m61	99	5	i	i	PRON
cord-152881-k1hx1m61	99	6	estimate	estimate	VERB
cord-152881-k1hx1m61	99	7	the	the	DET
cord-152881-k1hx1m61	99	8	remaining	remain	VERB
cord-152881-k1hx1m61	99	9	parameters	parameter	NOUN
cord-152881-k1hx1m61	99	10	β	β	PROPN
cord-152881-k1hx1m61	99	11	and	and	CCONJ
cord-152881-k1hx1m61	99	12	y	y	PROPN
cord-152881-k1hx1m61	99	13	0	0	NUM
cord-152881-k1hx1m61	99	14	by	by	ADP
cord-152881-k1hx1m61	99	15	numerically	numerically	ADV
cord-152881-k1hx1m61	99	16	minimizing	minimize	VERB
cord-152881-k1hx1m61	99	17	the	the	DET
cord-152881-k1hx1m61	99	18	loss	loss	NOUN
cord-152881-k1hx1m61	99	19	function	function	NOUN
cord-152881-k1hx1m61	99	20	(	(	PUNCT
cord-152881-k1hx1m61	99	21	3.1	3.1	NUM
cord-152881-k1hx1m61	99	22	)	)	PUNCT
cord-152881-k1hx1m61	99	23	.	.	PUNCT
cord-152881-k1hx1m61	100	1	standard	standard	ADJ
cord-152881-k1hx1m61	100	2	errors	error	NOUN
cord-152881-k1hx1m61	100	3	are	be	AUX
cord-152881-k1hx1m61	100	4	calculated	calculate	VERB
cord-152881-k1hx1m61	100	5	using	use	VERB
cord-152881-k1hx1m61	100	6	the	the	DET
cord-152881-k1hx1m61	100	7	asymptotic	asymptotic	ADJ
cord-152881-k1hx1m61	100	8	theory	theory	NOUN
cord-152881-k1hx1m61	100	9	of	of	ADP
cord-152881-k1hx1m61	100	10	m	m	PROPN
cord-152881-k1hx1m61	100	11	-estimators	-estimator	NOUN
cord-152881-k1hx1m61	100	12	.	.	PUNCT
cord-152881-k1hx1m61	101	1	see	see	VERB
cord-152881-k1hx1m61	101	2	appendix	appendix	VERB
cord-152881-k1hx1m61	101	3	a	a	PRON
cord-152881-k1hx1m61	101	4	for	for	ADP
cord-152881-k1hx1m61	101	5	the	the	DET
cord-152881-k1hx1m61	101	6	solution	solution	NOUN
cord-152881-k1hx1m61	101	7	algorithm	algorithm	NOUN
cord-152881-k1hx1m61	101	8	of	of	ADP
cord-152881-k1hx1m61	101	9	the	the	DET
cord-152881-k1hx1m61	101	10	sir	sir	PROPN
cord-152881-k1hx1m61	101	11	model	model	NOUN
cord-152881-k1hx1m61	101	12	.	.	PUNCT
cord-152881-k1hx1m61	102	1	i	i	PRON
cord-152881-k1hx1m61	102	2	estimate	estimate	VERB
cord-152881-k1hx1m61	102	3	the	the	DET
cord-152881-k1hx1m61	102	4	sir	sir	PROPN
cord-152881-k1hx1m61	102	5	model	model	NOUN
cord-152881-k1hx1m61	102	6	for	for	ADP
cord-152881-k1hx1m61	102	7	all	all	DET
cord-152881-k1hx1m61	102	8	countries	country	NOUN
cord-152881-k1hx1m61	102	9	that	that	PRON
cord-152881-k1hx1m61	102	10	meet	meet	VERB
cord-152881-k1hx1m61	102	11	the	the	DET
cord-152881-k1hx1m61	102	12	following	follow	VERB
cord-152881-k1hx1m61	102	13	inclusion	inclusion	NOUN
cord-152881-k1hx1m61	102	14	criteria	criterion	NOUN
cord-152881-k1hx1m61	102	15	:	:	PUNCT
cord-152881-k1hx1m61	102	16	(	(	PUNCT
cord-152881-k1hx1m61	102	17	i	i	NOUN
cord-152881-k1hx1m61	102	18	)	)	PUNCT
cord-152881-k1hx1m61	102	19	the	the	DET
cord-152881-k1hx1m61	102	20	number	number	NOUN
cord-152881-k1hx1m61	102	21	of	of	ADP
cord-152881-k1hx1m61	102	22	confirmed	confirm	VERB
cord-152881-k1hx1m61	102	23	cases	case	NOUN
cord-152881-k1hx1m61	102	24	as	as	ADP
cord-152881-k1hx1m61	102	25	of	of	ADP
cord-152881-k1hx1m61	102	26	march	march	PROPN
cord-152881-k1hx1m61	102	27	27	27	NUM
cord-152881-k1hx1m61	102	28	,	,	PUNCT
cord-152881-k1hx1m61	102	29	2020	2020	NUM
cord-152881-k1hx1m61	102	30	exceeds	exceed	VERB
cord-152881-k1hx1m61	102	31	1,000	1,000	NUM
cord-152881-k1hx1m61	102	32	,	,	PUNCT
cord-152881-k1hx1m61	102	33	and	and	CCONJ
cord-152881-k1hx1m61	102	34	(	(	PUNCT
cord-152881-k1hx1m61	102	35	ii	ii	PROPN
cord-152881-k1hx1m61	102	36	)	)	PUNCT
cord-152881-k1hx1m61	102	37	the	the	DET
cord-152881-k1hx1m61	102	38	number	number	NOUN
cord-152881-k1hx1m61	102	39	of	of	ADP
cord-152881-k1hx1m61	102	40	confirmed	confirm	VERB
cord-152881-k1hx1m61	102	41	cases	case	NOUN
cord-152881-k1hx1m61	102	42	at	at	ADP
cord-152881-k1hx1m61	102	43	the	the	DET
cord-152881-k1hx1m61	102	44	beginning	beginning	NOUN
cord-152881-k1hx1m61	102	45	of	of	ADP
cord-152881-k1hx1m61	102	46	the	the	DET
cord-152881-k1hx1m61	102	47	estimation	estimation	NOUN
cord-152881-k1hx1m61	102	48	sample	sample	NOUN
cord-152881-k1hx1m61	102	49	exceeds	exceed	VERB
cord-152881-k1hx1m61	102	50	10	10	NUM
cord-152881-k1hx1m61	102	51	.	.	PUNCT
cord-152881-k1hx1m61	103	1	these	these	DET
cord-152881-k1hx1m61	103	2	countries	country	NOUN
cord-152881-k1hx1m61	103	3	are	be	AUX
cord-152881-k1hx1m61	103	4	mostly	mostly	ADV
cord-152881-k1hx1m61	103	5	early	early	ADJ
cord-152881-k1hx1m61	103	6	epicenters	epicenter	NOUN
cord-152881-k1hx1m61	103	7	(	(	PUNCT
cord-152881-k1hx1m61	103	8	china	china	PROPN
cord-152881-k1hx1m61	103	9	,	,	PUNCT
cord-152881-k1hx1m61	103	10	japan	japan	PROPN
cord-152881-k1hx1m61	103	11	,	,	PUNCT
cord-152881-k1hx1m61	103	12	korea	korea	PROPN
cord-152881-k1hx1m61	103	13	)	)	PUNCT
cord-152881-k1hx1m61	103	14	,	,	PUNCT
cord-152881-k1hx1m61	103	15	european	european	ADJ
cord-152881-k1hx1m61	103	16	countries	country	NOUN
cord-152881-k1hx1m61	103	17	,	,	PUNCT
cord-152881-k1hx1m61	103	18	and	and	CCONJ
cord-152881-k1hx1m61	103	19	north	north	PROPN
cord-152881-k1hx1m61	103	20	america	america	PROPN
cord-152881-k1hx1m61	103	21	.	.	PUNCT
cord-152881-k1hx1m61	104	1	table	table	PROPN
cord-152881-k1hx1m61	104	2	1	1	NUM
cord-152881-k1hx1m61	104	3	shows	show	VERB
cord-152881-k1hx1m61	104	4	the	the	DET
cord-152881-k1hx1m61	104	5	estimated	estimate	VERB
cord-152881-k1hx1m61	104	6	transmission	transmission	NOUN
cord-152881-k1hx1m61	104	7	rate	rate	NOUN
cord-152881-k1hx1m61	104	8	(	(	PUNCT
cord-152881-k1hx1m61	104	9	β	β	NOUN
cord-152881-k1hx1m61	104	10	)	)	PUNCT
cord-152881-k1hx1m61	104	11	,	,	PUNCT
cord-152881-k1hx1m61	104	12	its	its	PRON
cord-152881-k1hx1m61	104	13	standard	standard	ADJ
cord-152881-k1hx1m61	104	14	error	error	NOUN
cord-152881-k1hx1m61	104	15	,	,	PUNCT
cord-152881-k1hx1m61	104	16	the	the	DET
cord-152881-k1hx1m61	104	17	fraction	fraction	NOUN
cord-152881-k1hx1m61	104	18	of	of	ADP
cord-152881-k1hx1m61	104	19	infected	infected	ADJ
cord-152881-k1hx1m61	104	20	individuals	individual	NOUN
cord-152881-k1hx1m61	104	21	at	at	ADP
cord-152881-k1hx1m61	104	22	the	the	DET
cord-152881-k1hx1m61	104	23	peak	peak	NOUN
cord-152881-k1hx1m61	104	24	(	(	PUNCT
cord-152881-k1hx1m61	104	25	y	y	PROPN
cord-152881-k1hx1m61	104	26	max	max	PROPN
cord-152881-k1hx1m61	104	27	)	)	PUNCT
cord-152881-k1hx1m61	104	28	,	,	PUNCT
cord-152881-k1hx1m61	104	29	number	number	NOUN
cord-152881-k1hx1m61	104	30	of	of	ADP
cord-152881-k1hx1m61	104	31	days	day	NOUN
cord-152881-k1hx1m61	104	32	to	to	PART
cord-152881-k1hx1m61	104	33	reach	reach	VERB
cord-152881-k1hx1m61	104	34	the	the	DET
cord-152881-k1hx1m61	104	35	peak	peak	NOUN
cord-152881-k1hx1m61	104	36	(	(	PUNCT
cord-152881-k1hx1m61	104	37	t	t	PROPN
cord-152881-k1hx1m61	104	38	max	max	PROPN
cord-152881-k1hx1m61	104	39	)	)	PUNCT
cord-152881-k1hx1m61	104	40	,	,	PUNCT
cord-152881-k1hx1m61	104	41	and	and	CCONJ
cord-152881-k1hx1m61	104	42	the	the	DET
cord-152881-k1hx1m61	104	43	fraction	fraction	NOUN
cord-152881-k1hx1m61	104	44	of	of	ADP
cord-152881-k1hx1m61	104	45	the	the	DET
cord-152881-k1hx1m61	104	46	population	population	NOUN
cord-152881-k1hx1m61	104	47	that	that	PRON
cord-152881-k1hx1m61	104	48	is	be	AUX
cord-152881-k1hx1m61	104	49	eventually	eventually	ADV
cord-152881-k1hx1m61	104	50	infected	infect	VERB
cord-152881-k1hx1m61	104	51	.	.	PUNCT
cord-152881-k1hx1m61	105	1	figure	figure	NOUN
cord-152881-k1hx1m61	105	2	2	2	NUM
cord-152881-k1hx1m61	105	3	shows	show	VERB
cord-152881-k1hx1m61	105	4	the	the	DET
cord-152881-k1hx1m61	105	5	time	time	NOUN
cord-152881-k1hx1m61	105	6	evolution	evolution	NOUN
cord-152881-k1hx1m61	105	7	of	of	ADP
cord-152881-k1hx1m61	105	8	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	105	9	cases	case	NOUN
cord-152881-k1hx1m61	105	10	in	in	ADP
cord-152881-k1hx1m61	105	11	italy	italy	PROPN
cord-152881-k1hx1m61	105	12	,	,	PUNCT
cord-152881-k1hx1m61	105	13	which	which	PRON
cord-152881-k1hx1m61	105	14	is	be	AUX
cord-152881-k1hx1m61	105	15	the	the	DET
cord-152881-k1hx1m61	105	16	earliest	early	ADJ
cord-152881-k1hx1m61	105	17	epicenter	epicenter	NOUN
cord-152881-k1hx1m61	105	18	outside	outside	ADP
cord-152881-k1hx1m61	105	19	east	east	PROPN
cord-152881-k1hx1m61	105	20	asia	asia	PROPN
cord-152881-k1hx1m61	105	21	.	.	PUNCT
cord-152881-k1hx1m61	106	1	we	we	PRON
cord-152881-k1hx1m61	106	2	can	can	AUX
cord-152881-k1hx1m61	106	3	make	make	VERB
cord-152881-k1hx1m61	106	4	a	a	DET
cord-152881-k1hx1m61	106	5	few	few	ADJ
cord-152881-k1hx1m61	106	6	observations	observation	NOUN
cord-152881-k1hx1m61	106	7	from	from	ADP
cord-152881-k1hx1m61	106	8	table	table	NOUN
cord-152881-k1hx1m61	106	9	1	1	NUM
cord-152881-k1hx1m61	106	10	.	.	PUNCT
cord-152881-k1hx1m61	107	1	first	first	ADV
cord-152881-k1hx1m61	107	2	,	,	PUNCT
cord-152881-k1hx1m61	107	3	the	the	DET
cord-152881-k1hx1m61	107	4	estimated	estimate	VERB
cord-152881-k1hx1m61	107	5	transmission	transmission	NOUN
cord-152881-k1hx1m61	107	6	rates	rate	NOUN
cord-152881-k1hx1m61	107	7	are	be	AUX
cord-152881-k1hx1m61	107	8	heterogeneous	heterogeneous	ADJ
cord-152881-k1hx1m61	107	9	across	across	ADP
cord-152881-k1hx1m61	107	10	countries	country	NOUN
cord-152881-k1hx1m61	107	11	.	.	PUNCT
cord-152881-k1hx1m61	108	1	while	while	SCONJ
cord-152881-k1hx1m61	108	2	β	β	NOUN
cord-152881-k1hx1m61	108	3	is	be	AUX
cord-152881-k1hx1m61	108	4	low	low	ADJ
cord-152881-k1hx1m61	108	5	in	in	ADP
cord-152881-k1hx1m61	108	6	china	china	PROPN
cord-152881-k1hx1m61	108	7	,	,	PUNCT
cord-152881-k1hx1m61	108	8	the	the	DET
cord-152881-k1hx1m61	108	9	note	note	NOUN
cord-152881-k1hx1m61	108	10	:	:	PUNCT
cord-152881-k1hx1m61	108	11	the	the	DET
cord-152881-k1hx1m61	108	12	table	table	NOUN
cord-152881-k1hx1m61	108	13	presents	present	VERB
cord-152881-k1hx1m61	108	14	the	the	DET
cord-152881-k1hx1m61	108	15	estimation	estimation	NOUN
cord-152881-k1hx1m61	108	16	results	result	NOUN
cord-152881-k1hx1m61	108	17	of	of	ADP
cord-152881-k1hx1m61	108	18	the	the	DET
cord-152881-k1hx1m61	108	19	sir	sir	PROPN
cord-152881-k1hx1m61	108	20	model	model	NOUN
cord-152881-k1hx1m61	108	21	in	in	ADP
cord-152881-k1hx1m61	108	22	section	section	NOUN
cord-152881-k1hx1m61	108	23	2	2	NUM
cord-152881-k1hx1m61	108	24	.	.	PUNCT
cord-152881-k1hx1m61	109	1	β	β	PROPN
cord-152881-k1hx1m61	109	2	(	(	PUNCT
cord-152881-k1hx1m61	109	3	s.e	s.e	PROPN
cord-152881-k1hx1m61	109	4	.	.	PROPN
cord-152881-k1hx1m61	109	5	):	):	PUNCT
cord-152881-k1hx1m61	109	6	the	the	DET
cord-152881-k1hx1m61	109	7	transmission	transmission	NOUN
cord-152881-k1hx1m61	109	8	rate	rate	NOUN
cord-152881-k1hx1m61	109	9	and	and	CCONJ
cord-152881-k1hx1m61	109	10	standard	standard	ADJ
cord-152881-k1hx1m61	109	11	error	error	NOUN
cord-152881-k1hx1m61	109	12	;	;	PUNCT
cord-152881-k1hx1m61	109	13	ymax	ymax	PROPN
cord-152881-k1hx1m61	109	14	:	:	PUNCT
cord-152881-k1hx1m61	109	15	the	the	DET
cord-152881-k1hx1m61	109	16	fraction	fraction	NOUN
cord-152881-k1hx1m61	109	17	of	of	ADP
cord-152881-k1hx1m61	109	18	infected	infected	ADJ
cord-152881-k1hx1m61	109	19	individuals	individual	NOUN
cord-152881-k1hx1m61	109	20	at	at	ADP
cord-152881-k1hx1m61	109	21	the	the	DET
cord-152881-k1hx1m61	109	22	peak	peak	NOUN
cord-152881-k1hx1m61	109	23	in	in	ADP
cord-152881-k1hx1m61	109	24	(	(	PUNCT
cord-152881-k1hx1m61	109	25	2.6	2.6	NUM
cord-152881-k1hx1m61	109	26	)	)	PUNCT
cord-152881-k1hx1m61	109	27	;	;	PUNCT
cord-152881-k1hx1m61	109	28	tmax	tmax	PROPN
cord-152881-k1hx1m61	109	29	:	:	PUNCT
cord-152881-k1hx1m61	109	30	the	the	DET
cord-152881-k1hx1m61	109	31	number	number	NOUN
cord-152881-k1hx1m61	109	32	of	of	ADP
cord-152881-k1hx1m61	109	33	days	day	NOUN
cord-152881-k1hx1m61	109	34	to	to	PART
cord-152881-k1hx1m61	109	35	reach	reach	VERB
cord-152881-k1hx1m61	109	36	the	the	DET
cord-152881-k1hx1m61	109	37	peak	peak	NOUN
cord-152881-k1hx1m61	109	38	;	;	PUNCT
cord-152881-k1hx1m61	109	39	"	"	PUNCT
cord-152881-k1hx1m61	109	40	total	total	ADJ
cord-152881-k1hx1m61	109	41	"	"	PUNCT
cord-152881-k1hx1m61	109	42	:	:	PUNCT
cord-152881-k1hx1m61	109	43	the	the	DET
cord-152881-k1hx1m61	109	44	fraction	fraction	NOUN
cord-152881-k1hx1m61	109	45	of	of	ADP
cord-152881-k1hx1m61	109	46	the	the	DET
cord-152881-k1hx1m61	109	47	population	population	NOUN
cord-152881-k1hx1m61	109	48	that	that	PRON
cord-152881-k1hx1m61	109	49	is	be	AUX
cord-152881-k1hx1m61	109	50	eventually	eventually	ADV
cord-152881-k1hx1m61	109	51	infected	infect	VERB
cord-152881-k1hx1m61	109	52	.	.	PUNCT
cord-152881-k1hx1m61	110	1	origin	origin	NOUN
cord-152881-k1hx1m61	110	2	of	of	ADP
cord-152881-k1hx1m61	110	3	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	110	4	,	,	PUNCT
cord-152881-k1hx1m61	110	5	and	and	CCONJ
cord-152881-k1hx1m61	110	6	the	the	DET
cord-152881-k1hx1m61	110	7	neighboring	neighboring	NOUN
cord-152881-k1hx1m61	110	8	countries	country	NOUN
cord-152881-k1hx1m61	110	9	(	(	PUNCT
cord-152881-k1hx1m61	110	10	japan	japan	PROPN
cord-152881-k1hx1m61	110	11	and	and	CCONJ
cord-152881-k1hx1m61	110	12	korea	korea	PROPN
cord-152881-k1hx1m61	110	13	)	)	PUNCT
cord-152881-k1hx1m61	110	14	,	,	PUNCT
cord-152881-k1hx1m61	110	15	where	where	SCONJ
cord-152881-k1hx1m61	110	16	the	the	DET
cord-152881-k1hx1m61	110	17	virus	virus	NOUN
cord-152881-k1hx1m61	110	18	spread	spread	VERB
cord-152881-k1hx1m61	110	19	first	first	ADV
cord-152881-k1hx1m61	110	20	,	,	PUNCT
cord-152881-k1hx1m61	110	21	β	β	PROPN
cord-152881-k1hx1m61	110	22	is	be	AUX
cord-152881-k1hx1m61	110	23	very	very	ADV
cord-152881-k1hx1m61	110	24	high	high	ADJ
cord-152881-k1hx1m61	110	25	at	at	ADP
cord-152881-k1hx1m61	110	26	around	around	ADP
cord-152881-k1hx1m61	110	27	0.2	0.2	NUM
cord-152881-k1hx1m61	110	28	-	-	SYM
cord-152881-k1hx1m61	110	29	0.4	0.4	NUM
cord-152881-k1hx1m61	110	30	in	in	ADP
cord-152881-k1hx1m61	110	31	other	other	ADJ
cord-152881-k1hx1m61	110	32	countries	country	NOUN
cord-152881-k1hx1m61	110	33	and	and	CCONJ
cord-152881-k1hx1m61	110	34	the	the	DET
cord-152881-k1hx1m61	110	35	no	no	DET
cord-152881-k1hx1m61	110	36	-	-	PUNCT
cord-152881-k1hx1m61	110	37	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	110	38	condition	condition	NOUN
cord-152881-k1hx1m61	110	39	βx	βx	ADP
cord-152881-k1hx1m61	110	40	0	0	NUM
cord-152881-k1hx1m61	110	41	≤	≤	PROPN
cord-152881-k1hx1m61	111	1	γ	γ	PROPN
cord-152881-k1hx1m61	111	2	fails	fail	VERB
cord-152881-k1hx1m61	111	3	.	.	PUNCT
cord-152881-k1hx1m61	112	1	despite	despite	SCONJ
cord-152881-k1hx1m61	112	2	the	the	DET
cord-152881-k1hx1m61	112	3	short	short	ADJ
cord-152881-k1hx1m61	112	4	time	time	NOUN
cord-152881-k1hx1m61	112	5	series	series	NOUN
cord-152881-k1hx1m61	112	6	(	(	PUNCT
cord-152881-k1hx1m61	112	7	14	14	NUM
cord-152881-k1hx1m61	112	8	days	day	NOUN
cord-152881-k1hx1m61	112	9	)	)	PUNCT
cord-152881-k1hx1m61	112	10	,	,	PUNCT
cord-152881-k1hx1m61	112	11	the	the	DET
cord-152881-k1hx1m61	112	12	transmission	transmission	NOUN
cord-152881-k1hx1m61	112	13	rate	rate	NOUN
cord-152881-k1hx1m61	112	14	is	be	AUX
cord-152881-k1hx1m61	112	15	precisely	precisely	ADV
cord-152881-k1hx1m61	112	16	estimated	estimate	VERB
cord-152881-k1hx1m61	112	17	in	in	ADP
cord-152881-k1hx1m61	112	18	most	most	ADJ
cord-152881-k1hx1m61	112	19	countries	country	NOUN
cord-152881-k1hx1m61	112	20	.	.	PUNCT
cord-152881-k1hx1m61	113	1	although	although	SCONJ
cord-152881-k1hx1m61	113	2	current	current	ADJ
cord-152881-k1hx1m61	113	3	data	datum	NOUN
cord-152881-k1hx1m61	113	4	is	be	AUX
cord-152881-k1hx1m61	113	5	insufficient	insufficient	ADJ
cord-152881-k1hx1m61	113	6	to	to	PART
cord-152881-k1hx1m61	113	7	draw	draw	VERB
cord-152881-k1hx1m61	113	8	any	any	DET
cord-152881-k1hx1m61	113	9	conclusion	conclusion	NOUN
cord-152881-k1hx1m61	113	10	,	,	PUNCT
cord-152881-k1hx1m61	113	11	there	there	PRON
cord-152881-k1hx1m61	113	12	are	be	VERB
cord-152881-k1hx1m61	113	13	a	a	DET
cord-152881-k1hx1m61	113	14	few	few	ADJ
cord-152881-k1hx1m61	113	15	possible	possible	ADJ
cord-152881-k1hx1m61	113	16	explanations	explanation	NOUN
cord-152881-k1hx1m61	113	17	for	for	ADP
cord-152881-k1hx1m61	113	18	the	the	DET
cord-152881-k1hx1m61	113	19	heterogeneity	heterogeneity	NOUN
cord-152881-k1hx1m61	113	20	of	of	ADP
cord-152881-k1hx1m61	113	21	β	β	PROPN
cord-152881-k1hx1m61	113	22	.	.	PUNCT
cord-152881-k1hx1m61	114	1	first	first	ADV
cord-152881-k1hx1m61	114	2	,	,	PUNCT
cord-152881-k1hx1m61	114	3	the	the	DET
cord-152881-k1hx1m61	114	4	transmission	transmission	NOUN
cord-152881-k1hx1m61	114	5	rate	rate	NOUN
cord-152881-k1hx1m61	114	6	β	β	NOUN
cord-152881-k1hx1m61	114	7	may	may	AUX
cord-152881-k1hx1m61	114	8	artificially	artificially	ADV
cord-152881-k1hx1m61	114	9	appear	appear	VERB
cord-152881-k1hx1m61	114	10	high	high	ADV
cord-152881-k1hx1m61	114	11	in	in	ADP
cord-152881-k1hx1m61	114	12	later	late	ADJ
cord-152881-k1hx1m61	114	13	epicenters	epicenter	NOUN
cord-152881-k1hx1m61	114	14	such	such	ADJ
cord-152881-k1hx1m61	114	15	as	as	ADP
cord-152881-k1hx1m61	114	16	europe	europe	PROPN
cord-152881-k1hx1m61	114	17	and	and	CCONJ
cord-152881-k1hx1m61	114	18	north	north	PROPN
cord-152881-k1hx1m61	114	19	america	america	PROPN
cord-152881-k1hx1m61	114	20	just	just	ADV
cord-152881-k1hx1m61	114	21	because	because	SCONJ
cord-152881-k1hx1m61	114	22	these	these	DET
cord-152881-k1hx1m61	114	23	countries	country	NOUN
cord-152881-k1hx1m61	114	24	were	be	AUX
cord-152881-k1hx1m61	114	25	slow	slow	ADJ
cord-152881-k1hx1m61	114	26	in	in	ADP
cord-152881-k1hx1m61	114	27	adopting	adopt	VERB
cord-152881-k1hx1m61	114	28	tests	test	NOUN
cord-152881-k1hx1m61	114	29	of	of	ADP
cord-152881-k1hx1m61	114	30	covid-19	covid-19	NUM
cord-152881-k1hx1m61	114	31	and	and	CCONJ
cord-152881-k1hx1m61	114	32	the	the	DET
cord-152881-k1hx1m61	114	33	testing	testing	NOUN
cord-152881-k1hx1m61	114	34	(	(	PUNCT
cord-152881-k1hx1m61	114	35	hence	hence	ADV
cord-152881-k1hx1m61	114	36	reporting	report	VERB
cord-152881-k1hx1m61	114	37	)	)	PUNCT
cord-152881-k1hx1m61	114	38	rate	rate	NOUN
cord-152881-k1hx1m61	114	39	is	be	AUX
cord-152881-k1hx1m61	114	40	increasing	increase	VERB
cord-152881-k1hx1m61	114	41	.	.	PUNCT
cord-152881-k1hx1m61	115	1	second	second	ADV
cord-152881-k1hx1m61	115	2	,	,	PUNCT
cord-152881-k1hx1m61	115	3	the	the	DET
cord-152881-k1hx1m61	115	4	heterogeneity	heterogeneity	NOUN
cord-152881-k1hx1m61	115	5	in	in	ADP
cord-152881-k1hx1m61	115	6	β	β	PROPN
cord-152881-k1hx1m61	115	7	may	may	AUX
cord-152881-k1hx1m61	115	8	be	be	AUX
cord-152881-k1hx1m61	115	9	due	due	ADJ
cord-152881-k1hx1m61	115	10	to	to	ADP
cord-152881-k1hx1m61	115	11	the	the	DET
cord-152881-k1hx1m61	115	12	fact	fact	NOUN
cord-152881-k1hx1m61	115	13	that	that	SCONJ
cord-152881-k1hx1m61	115	14	early	early	ADJ
cord-152881-k1hx1m61	115	15	epicenters	epicenter	NOUN
cord-152881-k1hx1m61	115	16	have	have	AUX
cord-152881-k1hx1m61	115	17	already	already	ADV
cord-152881-k1hx1m61	115	18	taken	take	VERB
cord-152881-k1hx1m61	115	19	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	115	20	measures	measure	NOUN
cord-152881-k1hx1m61	115	21	of	of	ADP
cord-152881-k1hx1m61	115	22	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	115	23	.	.	PUNCT
cord-152881-k1hx1m61	116	1	for	for	ADP
cord-152881-k1hx1m61	116	2	example	example	NOUN
cord-152881-k1hx1m61	116	3	,	,	PUNCT
cord-152881-k1hx1m61	116	4	while	while	SCONJ
cord-152881-k1hx1m61	116	5	japan	japan	PROPN
cord-152881-k1hx1m61	116	6	closed	close	VERB
cord-152881-k1hx1m61	116	7	all	all	DET
cord-152881-k1hx1m61	116	8	schools	school	NOUN
cord-152881-k1hx1m61	116	9	starting	start	VERB
cord-152881-k1hx1m61	116	10	on	on	ADP
cord-152881-k1hx1m61	116	11	march	march	PROPN
cord-152881-k1hx1m61	116	12	2	2	NUM
cord-152881-k1hx1m61	116	13	,	,	PUNCT
cord-152881-k1hx1m61	116	14	many	many	ADJ
cord-152881-k1hx1m61	116	15	states	state	NOUN
cord-152881-k1hx1m61	116	16	in	in	ADP
cord-152881-k1hx1m61	116	17	us	we	PRON
cord-152881-k1hx1m61	116	18	have	have	AUX
cord-152881-k1hx1m61	116	19	implemented	implement	VERB
cord-152881-k1hx1m61	116	20	similar	similar	ADJ
cord-152881-k1hx1m61	116	21	measures	measure	NOUN
cord-152881-k1hx1m61	116	22	such	such	ADJ
cord-152881-k1hx1m61	116	23	as	as	ADP
cord-152881-k1hx1m61	116	24	closing	closing	NOUN
cord-152881-k1hx1m61	116	25	schools	school	NOUN
cord-152881-k1hx1m61	116	26	,	,	PUNCT
cord-152881-k1hx1m61	116	27	bars	bar	NOUN
cord-152881-k1hx1m61	116	28	,	,	PUNCT
cord-152881-k1hx1m61	116	29	and	and	CCONJ
cord-152881-k1hx1m61	116	30	restaurants	restaurant	NOUN
cord-152881-k1hx1m61	116	31	only	only	ADV
cord-152881-k1hx1m61	116	32	around	around	ADP
cord-152881-k1hx1m61	116	33	march	march	PROPN
cord-152881-k1hx1m61	116	34	16	16	NUM
cord-152881-k1hx1m61	116	35	,	,	PUNCT
cord-152881-k1hx1m61	116	36	so	so	SCONJ
cord-152881-k1hx1m61	116	37	we	we	PRON
cord-152881-k1hx1m61	116	38	may	may	AUX
cord-152881-k1hx1m61	116	39	not	not	PART
cord-152881-k1hx1m61	116	40	have	have	AUX
cord-152881-k1hx1m61	116	41	yet	yet	ADV
cord-152881-k1hx1m61	116	42	seen	see	VERB
cord-152881-k1hx1m61	116	43	the	the	DET
cord-152881-k1hx1m61	116	44	effect	effect	NOUN
cord-152881-k1hx1m61	116	45	of	of	ADP
cord-152881-k1hx1m61	116	46	such	such	ADJ
cord-152881-k1hx1m61	116	47	policies	policy	NOUN
cord-152881-k1hx1m61	116	48	.	.	PUNCT
cord-152881-k1hx1m61	117	1	finally	finally	ADV
cord-152881-k1hx1m61	117	2	,	,	PUNCT
cord-152881-k1hx1m61	117	3	it	it	PRON
cord-152881-k1hx1m61	117	4	is	be	AUX
cord-152881-k1hx1m61	117	5	possible	possible	ADJ
cord-152881-k1hx1m61	117	6	that	that	SCONJ
cord-152881-k1hx1m61	117	7	there	there	PRON
cord-152881-k1hx1m61	117	8	are	be	VERB
cord-152881-k1hx1m61	117	9	cultural	cultural	ADJ
cord-152881-k1hx1m61	117	10	differences	difference	NOUN
cord-152881-k1hx1m61	117	11	.	.	PUNCT
cord-152881-k1hx1m61	118	1	for	for	ADP
cord-152881-k1hx1m61	118	2	example	example	NOUN
cord-152881-k1hx1m61	118	3	,	,	PUNCT
cord-152881-k1hx1m61	118	4	school	school	NOUN
cord-152881-k1hx1m61	118	5	children	child	NOUN
cord-152881-k1hx1m61	118	6	in	in	ADP
cord-152881-k1hx1m61	118	7	japan	japan	PROPN
cord-152881-k1hx1m61	118	8	are	be	AUX
cord-152881-k1hx1m61	118	9	taught	teach	VERB
cord-152881-k1hx1m61	118	10	to	to	PART
cord-152881-k1hx1m61	118	11	wash	wash	VERB
cord-152881-k1hx1m61	118	12	their	their	PRON
cord-152881-k1hx1m61	118	13	hands	hand	NOUN
cord-152881-k1hx1m61	118	14	before	before	ADP
cord-152881-k1hx1m61	118	15	eating	eat	VERB
cord-152881-k1hx1m61	118	16	and	and	CCONJ
cord-152881-k1hx1m61	118	17	to	to	PART
cord-152881-k1hx1m61	118	18	gargle	gargle	VERB
cord-152881-k1hx1m61	118	19	after	after	ADP
cord-152881-k1hx1m61	118	20	returning	return	VERB
cord-152881-k1hx1m61	118	21	home	home	NOUN
cord-152881-k1hx1m61	118	22	,	,	PUNCT
cord-152881-k1hx1m61	118	23	which	which	PRON
cord-152881-k1hx1m61	118	24	they	they	PRON
cord-152881-k1hx1m61	118	25	practice	practice	VERB
cord-152881-k1hx1m61	118	26	,	,	PUNCT
cord-152881-k1hx1m61	118	27	and	and	CCONJ
cord-152881-k1hx1m61	118	28	(	(	PUNCT
cord-152881-k1hx1m61	118	29	from	from	ADP
cord-152881-k1hx1m61	118	30	personal	personal	ADJ
cord-152881-k1hx1m61	118	31	experience	experience	NOUN
cord-152881-k1hx1m61	118	32	)	)	PUNCT
cord-152881-k1hx1m61	119	1	japanese	japanese	ADJ
cord-152881-k1hx1m61	119	2	cities	city	NOUN
cord-152881-k1hx1m61	119	3	tend	tend	VERB
cord-152881-k1hx1m61	119	4	to	to	PART
cord-152881-k1hx1m61	119	5	be	be	AUX
cord-152881-k1hx1m61	119	6	much	much	ADV
cord-152881-k1hx1m61	119	7	cleaner	clean	ADJ
cord-152881-k1hx1m61	119	8	than	than	ADP
cord-152881-k1hx1m61	119	9	most	most	ADJ
cord-152881-k1hx1m61	119	10	cities	city	NOUN
cord-152881-k1hx1m61	119	11	in	in	ADP
cord-152881-k1hx1m61	119	12	the	the	DET
cord-152881-k1hx1m61	119	13	world	world	NOUN
cord-152881-k1hx1m61	119	14	.	.	PUNCT
cord-152881-k1hx1m61	120	1	second	second	ADV
cord-152881-k1hx1m61	120	2	,	,	PUNCT
cord-152881-k1hx1m61	120	3	according	accord	VERB
cord-152881-k1hx1m61	120	4	to	to	ADP
cord-152881-k1hx1m61	120	5	the	the	DET
cord-152881-k1hx1m61	120	6	model	model	NOUN
cord-152881-k1hx1m61	120	7	,	,	PUNCT
cord-152881-k1hx1m61	120	8	countries	country	NOUN
cord-152881-k1hx1m61	120	9	other	other	ADJ
cord-152881-k1hx1m61	120	10	than	than	ADP
cord-152881-k1hx1m61	120	11	china	china	PROPN
cord-152881-k1hx1m61	120	12	,	,	PUNCT
cord-152881-k1hx1m61	120	13	japan	japan	PROPN
cord-152881-k1hx1m61	120	14	,	,	PUNCT
cord-152881-k1hx1m61	120	15	and	and	CCONJ
cord-152881-k1hx1m61	120	16	korea	korea	PROPN
cord-152881-k1hx1m61	120	17	are	be	AUX
cord-152881-k1hx1m61	120	18	significantly	significantly	ADV
cord-152881-k1hx1m61	120	19	affected	affect	VERB
cord-152881-k1hx1m61	120	20	by	by	ADP
cord-152881-k1hx1m61	120	21	the	the	DET
cord-152881-k1hx1m61	120	22	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	120	23	.	.	PUNCT
cord-152881-k1hx1m61	121	1	if	if	SCONJ
cord-152881-k1hx1m61	121	2	the	the	DET
cord-152881-k1hx1m61	121	3	current	current	ADJ
cord-152881-k1hx1m61	121	4	trend	trend	NOUN
cord-152881-k1hx1m61	121	5	in	in	ADP
cord-152881-k1hx1m61	121	6	the	the	DET
cord-152881-k1hx1m61	121	7	transmission	transmission	NOUN
cord-152881-k1hx1m61	121	8	rate	rate	NOUN
cord-152881-k1hx1m61	121	9	β	β	NOUN
cord-152881-k1hx1m61	121	10	continues	continue	VERB
cord-152881-k1hx1m61	121	11	,	,	PUNCT
cord-152881-k1hx1m61	121	12	the	the	DET
cord-152881-k1hx1m61	121	13	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	121	14	will	will	AUX
cord-152881-k1hx1m61	121	15	peak	peak	VERB
cord-152881-k1hx1m61	121	16	in	in	ADP
cord-152881-k1hx1m61	121	17	may	may	PROPN
cord-152881-k1hx1m61	121	18	2020	2020	NUM
cord-152881-k1hx1m61	121	19	,	,	PUNCT
cord-152881-k1hx1m61	121	20	at	at	ADP
cord-152881-k1hx1m61	121	21	which	which	DET
cord-152881-k1hx1m61	121	22	point	point	NOUN
cord-152881-k1hx1m61	121	23	around	around	ADV
cord-152881-k1hx1m61	121	24	30	30	NUM
cord-152881-k1hx1m61	121	25	percent	percent	NOUN
cord-152881-k1hx1m61	121	26	of	of	ADP
cord-152881-k1hx1m61	121	27	the	the	DET
cord-152881-k1hx1m61	121	28	population	population	NOUN
cord-152881-k1hx1m61	121	29	will	will	AUX
cord-152881-k1hx1m61	121	30	be	be	AUX
cord-152881-k1hx1m61	121	31	infected	infect	VERB
cord-152881-k1hx1m61	121	32	by	by	ADP
cord-152881-k1hx1m61	121	33	the	the	DET
cord-152881-k1hx1m61	121	34	virus	virus	NOUN
cord-152881-k1hx1m61	121	35	simultaneously	simultaneously	ADV
cord-152881-k1hx1m61	121	36	.	.	PUNCT
cord-152881-k1hx1m61	122	1	by	by	ADP
cord-152881-k1hx1m61	122	2	the	the	DET
cord-152881-k1hx1m61	122	3	time	time	NOUN
cord-152881-k1hx1m61	122	4	the	the	DET
cord-152881-k1hx1m61	122	5	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	122	6	ends	end	VERB
cord-152881-k1hx1m61	122	7	,	,	PUNCT
cord-152881-k1hx1m61	122	8	more	more	ADJ
cord-152881-k1hx1m61	122	9	than	than	ADP
cord-152881-k1hx1m61	122	10	90	90	NUM
cord-152881-k1hx1m61	122	11	percent	percent	NOUN
cord-152881-k1hx1m61	122	12	of	of	ADP
cord-152881-k1hx1m61	122	13	the	the	DET
cord-152881-k1hx1m61	122	14	population	population	NOUN
cord-152881-k1hx1m61	122	15	is	be	AUX
cord-152881-k1hx1m61	122	16	eventually	eventually	ADV
cord-152881-k1hx1m61	122	17	infected	infect	VERB
cord-152881-k1hx1m61	122	18	.	.	PUNCT
cord-152881-k1hx1m61	123	1	these	these	DET
cord-152881-k1hx1m61	123	2	numbers	number	NOUN
cord-152881-k1hx1m61	123	3	can	can	AUX
cord-152881-k1hx1m61	123	4	be	be	AUX
cord-152881-k1hx1m61	123	5	used	use	VERB
cord-152881-k1hx1m61	123	6	to	to	PART
cord-152881-k1hx1m61	123	7	do	do	VERB
cord-152881-k1hx1m61	123	8	a	a	DET
cord-152881-k1hx1m61	123	9	back	back	NOUN
cord-152881-k1hx1m61	123	10	-	-	PUNCT
cord-152881-k1hx1m61	123	11	of	of	ADP
cord-152881-k1hx1m61	123	12	-	-	PUNCT
cord-152881-k1hx1m61	123	13	the	the	DET
cord-152881-k1hx1m61	123	14	-	-	PUNCT
cord-152881-k1hx1m61	123	15	envelope	envelope	NOUN
cord-152881-k1hx1m61	123	16	calculation	calculation	NOUN
cord-152881-k1hx1m61	123	17	of	of	ADP
cord-152881-k1hx1m61	123	18	health	health	NOUN
cord-152881-k1hx1m61	123	19	outcomes	outcome	NOUN
cord-152881-k1hx1m61	123	20	.	.	PUNCT
cord-152881-k1hx1m61	124	1	in	in	ADP
cord-152881-k1hx1m61	124	2	february	february	PROPN
cord-152881-k1hx1m61	124	3	2020	2020	NUM
cord-152881-k1hx1m61	124	4	,	,	PUNCT
cord-152881-k1hx1m61	124	5	the	the	DET
cord-152881-k1hx1m61	124	6	cruise	cruise	NOUN
cord-152881-k1hx1m61	124	7	ship	ship	NOUN
cord-152881-k1hx1m61	124	8	diamond	diamond	NOUN
cord-152881-k1hx1m61	124	9	princess	princess	NOUN
cord-152881-k1hx1m61	124	10	was	be	AUX
cord-152881-k1hx1m61	124	11	put	put	VERB
cord-152881-k1hx1m61	124	12	under	under	ADP
cord-152881-k1hx1m61	124	13	quarantine	quarantine	NOUN
cord-152881-k1hx1m61	124	14	for	for	ADP
cord-152881-k1hx1m61	124	15	two	two	NUM
cord-152881-k1hx1m61	124	16	weeks	week	NOUN
cord-152881-k1hx1m61	124	17	after	after	SCONJ
cord-152881-k1hx1m61	124	18	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	124	19	was	be	AUX
cord-152881-k1hx1m61	124	20	detected	detect	VERB
cord-152881-k1hx1m61	124	21	.	.	PUNCT
cord-152881-k1hx1m61	125	1	all	all	DET
cord-152881-k1hx1m61	125	2	passengers	passenger	NOUN
cord-152881-k1hx1m61	125	3	were	be	AUX
cord-152881-k1hx1m61	125	4	tested	test	VERB
cord-152881-k1hx1m61	125	5	and	and	CCONJ
cord-152881-k1hx1m61	125	6	tracked	track	VERB
cord-152881-k1hx1m61	125	7	,	,	PUNCT
cord-152881-k1hx1m61	125	8	among	among	ADP
cord-152881-k1hx1m61	125	9	whom	whom	PRON
cord-152881-k1hx1m61	125	10	712	712	NUM
cord-152881-k1hx1m61	125	11	tested	test	VERB
cord-152881-k1hx1m61	125	12	positive	positive	ADJ
cord-152881-k1hx1m61	125	13	and	and	CCONJ
cord-152881-k1hx1m61	125	14	8	8	NUM
cord-152881-k1hx1m61	125	15	died	die	VERB
cord-152881-k1hx1m61	125	16	.	.	PUNCT
cord-152881-k1hx1m61	126	1	although	although	SCONJ
cord-152881-k1hx1m61	126	2	this	this	PRON
cord-152881-k1hx1m61	126	3	is	be	AUX
cord-152881-k1hx1m61	126	4	not	not	PART
cord-152881-k1hx1m61	126	5	a	a	DET
cord-152881-k1hx1m61	126	6	representative	representative	ADJ
cord-152881-k1hx1m61	126	7	sample	sample	NOUN
cord-152881-k1hx1m61	126	8	because	because	SCONJ
cord-152881-k1hx1m61	126	9	the	the	DET
cord-152881-k1hx1m61	126	10	cruise	cruise	NOUN
cord-152881-k1hx1m61	126	11	ship	ship	NOUN
cord-152881-k1hx1m61	126	12	passengers	passenger	NOUN
cord-152881-k1hx1m61	126	13	tend	tend	VERB
cord-152881-k1hx1m61	126	14	to	to	PART
cord-152881-k1hx1m61	126	15	be	be	AUX
cord-152881-k1hx1m61	126	16	older	old	ADJ
cord-152881-k1hx1m61	126	17	and	and	CCONJ
cord-152881-k1hx1m61	126	18	wealthier	wealthy	ADJ
cord-152881-k1hx1m61	126	19	,	,	PUNCT
cord-152881-k1hx1m61	126	20	the	the	DET
cord-152881-k1hx1m61	126	21	mortality	mortality	NOUN
cord-152881-k1hx1m61	126	22	of	of	ADP
cord-152881-k1hx1m61	126	23	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	126	24	should	should	AUX
cord-152881-k1hx1m61	126	25	be	be	AUX
cord-152881-k1hx1m61	126	26	around	around	ADV
cord-152881-k1hx1m61	126	27	1	1	NUM
cord-152881-k1hx1m61	126	28	%	%	NOUN
cord-152881-k1hx1m61	126	29	for	for	ADP
cord-152881-k1hx1m61	126	30	this	this	DET
cord-152881-k1hx1m61	126	31	group	group	NOUN
cord-152881-k1hx1m61	126	32	and	and	CCONJ
cord-152881-k1hx1m61	126	33	possibly	possibly	ADV
cord-152881-k1hx1m61	126	34	lower	low	ADJ
cord-152881-k1hx1m61	126	35	for	for	ADP
cord-152881-k1hx1m61	126	36	the	the	DET
cord-152881-k1hx1m61	126	37	general	general	ADJ
cord-152881-k1hx1m61	126	38	population	population	NOUN
cord-152881-k1hx1m61	126	39	.	.	PUNCT
cord-152881-k1hx1m61	127	1	zhou	zhou	PROPN
cord-152881-k1hx1m61	127	2	et	et	PROPN
cord-152881-k1hx1m61	127	3	al	al	PROPN
cord-152881-k1hx1m61	127	4	.	.	PUNCT
cord-152881-k1hx1m61	127	5	(	(	PUNCT
cord-152881-k1hx1m61	127	6	2020	2020	NUM
cord-152881-k1hx1m61	127	7	)	)	PUNCT
cord-152881-k1hx1m61	127	8	document	document	NOUN
cord-152881-k1hx1m61	127	9	that	that	SCONJ
cord-152881-k1hx1m61	127	10	54	54	NUM
cord-152881-k1hx1m61	127	11	patients	patient	NOUN
cord-152881-k1hx1m61	127	12	died	die	VERB
cord-152881-k1hx1m61	127	13	among	among	ADP
cord-152881-k1hx1m61	127	14	191	191	NUM
cord-152881-k1hx1m61	127	15	that	that	PRON
cord-152881-k1hx1m61	127	16	required	require	VERB
cord-152881-k1hx1m61	127	17	hospitalization	hospitalization	NOUN
cord-152881-k1hx1m61	127	18	in	in	ADP
cord-152881-k1hx1m61	127	19	two	two	NUM
cord-152881-k1hx1m61	127	20	hospitals	hospital	NOUN
cord-152881-k1hx1m61	127	21	in	in	ADP
cord-152881-k1hx1m61	127	22	wuhan	wuhan	PROPN
cord-152881-k1hx1m61	127	23	.	.	PUNCT
cord-152881-k1hx1m61	128	1	therefore	therefore	ADV
cord-152881-k1hx1m61	128	2	the	the	DET
cord-152881-k1hx1m61	128	3	ratio	ratio	NOUN
cord-152881-k1hx1m61	128	4	of	of	ADP
cord-152881-k1hx1m61	128	5	patients	patient	NOUN
cord-152881-k1hx1m61	128	6	requiring	require	VERB
cord-152881-k1hx1m61	128	7	hospitalization	hospitalization	NOUN
cord-152881-k1hx1m61	128	8	to	to	ADP
cord-152881-k1hx1m61	128	9	death	death	NOUN
cord-152881-k1hx1m61	128	10	is	be	AUX
cord-152881-k1hx1m61	128	11	191/54	191/54	NUM
cord-152881-k1hx1m61	128	12	=	=	SYM
cord-152881-k1hx1m61	128	13	3.56	3.56	NUM
cord-152881-k1hx1m61	128	14	.	.	PUNCT
cord-152881-k1hx1m61	129	1	thus	thus	ADV
cord-152881-k1hx1m61	129	2	,	,	PUNCT
cord-152881-k1hx1m61	129	3	based	base	VERB
cord-152881-k1hx1m61	129	4	on	on	ADP
cord-152881-k1hx1m61	129	5	the	the	DET
cord-152881-k1hx1m61	129	6	model	model	NOUN
cord-152881-k1hx1m61	129	7	,	,	PUNCT
cord-152881-k1hx1m61	129	8	the	the	DET
cord-152881-k1hx1m61	129	9	fraction	fraction	NOUN
cord-152881-k1hx1m61	129	10	of	of	ADP
cord-152881-k1hx1m61	129	11	people	people	NOUN
cord-152881-k1hx1m61	129	12	requiring	require	VERB
cord-152881-k1hx1m61	129	13	hospitalization	hospitalization	NOUN
cord-152881-k1hx1m61	129	14	at	at	ADP
cord-152881-k1hx1m61	129	15	the	the	DET
cord-152881-k1hx1m61	129	16	peak	peak	NOUN
cord-152881-k1hx1m61	129	17	is	be	AUX
cord-152881-k1hx1m61	129	18	y	y	PROPN
cord-152881-k1hx1m61	129	19	max	max	PROPN
cord-152881-k1hx1m61	129	20	×	×	PROPN
cord-152881-k1hx1m61	129	21	0.01	0.01	NUM
cord-152881-k1hx1m61	129	22	×	×	NOUN
cord-152881-k1hx1m61	129	23	3.56	3.56	NUM
cord-152881-k1hx1m61	129	24	=	=	SYM
cord-152881-k1hx1m61	129	25	1.0	1.0	NUM
cord-152881-k1hx1m61	129	26	%	%	NOUN
cord-152881-k1hx1m61	129	27	assuming	assume	VERB
cord-152881-k1hx1m61	129	28	y	y	PROPN
cord-152881-k1hx1m61	129	29	max	max	PROPN
cord-152881-k1hx1m61	129	30	=	=	PROPN
cord-152881-k1hx1m61	129	31	28	28	NUM
cord-152881-k1hx1m61	129	32	%	%	NOUN
cord-152881-k1hx1m61	129	33	,	,	PUNCT
cord-152881-k1hx1m61	129	34	the	the	DET
cord-152881-k1hx1m61	129	35	median	median	ADJ
cord-152881-k1hx1m61	129	36	value	value	NOUN
cord-152881-k1hx1m61	129	37	in	in	ADP
cord-152881-k1hx1m61	129	38	table	table	NOUN
cord-152881-k1hx1m61	129	39	1	1	NUM
cord-152881-k1hx1m61	129	40	.	.	PUNCT
cord-152881-k1hx1m61	130	1	using	use	VERB
cord-152881-k1hx1m61	130	2	the	the	DET
cord-152881-k1hx1m61	130	3	estimated	estimated	ADJ
cord-152881-k1hx1m61	130	4	model	model	NOUN
cord-152881-k1hx1m61	130	5	parameters	parameter	NOUN
cord-152881-k1hx1m61	130	6	,	,	PUNCT
cord-152881-k1hx1m61	130	7	we	we	PRON
cord-152881-k1hx1m61	130	8	can	can	AUX
cord-152881-k1hx1m61	130	9	predict	predict	VERB
cord-152881-k1hx1m61	130	10	the	the	DET
cord-152881-k1hx1m61	130	11	course	course	NOUN
cord-152881-k1hx1m61	130	12	of	of	ADP
cord-152881-k1hx1m61	130	13	the	the	DET
cord-152881-k1hx1m61	130	14	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	130	15	.	.	PUNCT
cord-152881-k1hx1m61	131	1	for	for	ADP
cord-152881-k1hx1m61	131	2	this	this	DET
cord-152881-k1hx1m61	131	3	exercise	exercise	NOUN
cord-152881-k1hx1m61	131	4	,	,	PUNCT
cord-152881-k1hx1m61	131	5	i	i	PRON
cord-152881-k1hx1m61	131	6	consider	consider	VERB
cord-152881-k1hx1m61	131	7	the	the	DET
cord-152881-k1hx1m61	131	8	following	follow	VERB
cord-152881-k1hx1m61	131	9	scenario	scenario	NOUN
cord-152881-k1hx1m61	131	10	.	.	PUNCT
cord-152881-k1hx1m61	132	1	the	the	DET
cord-152881-k1hx1m61	132	2	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	132	3	starts	start	VERB
cord-152881-k1hx1m61	132	4	with	with	ADP
cord-152881-k1hx1m61	132	5	the	the	DET
cord-152881-k1hx1m61	132	6	initial	initial	ADJ
cord-152881-k1hx1m61	132	7	condition	condition	NOUN
cord-152881-k1hx1m61	132	8	(	(	PUNCT
cord-152881-k1hx1m61	132	9	y	y	PROPN
cord-152881-k1hx1m61	132	10	0	0	PROPN
cord-152881-k1hx1m61	132	11	,	,	PUNCT
cord-152881-k1hx1m61	132	12	z	z	NOUN
cord-152881-k1hx1m61	132	13	0	0	PUNCT
cord-152881-k1hx1m61	132	14	)	)	PUNCT
cord-152881-k1hx1m61	132	15	=	=	PROPN
cord-152881-k1hx1m61	132	16	(	(	PUNCT
cord-152881-k1hx1m61	132	17	10	10	NUM
cord-152881-k1hx1m61	132	18	−8	−8	NOUN
cord-152881-k1hx1m61	132	19	,	,	PUNCT
cord-152881-k1hx1m61	132	20	0	0	NUM
cord-152881-k1hx1m61	132	21	)	)	PUNCT
cord-152881-k1hx1m61	132	22	.	.	PUNCT
cord-152881-k1hx1m61	133	1	the	the	DET
cord-152881-k1hx1m61	133	2	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	133	3	transmission	transmission	NOUN
cord-152881-k1hx1m61	133	4	rate	rate	NOUN
cord-152881-k1hx1m61	133	5	is	be	AUX
cord-152881-k1hx1m61	133	6	set	set	VERB
cord-152881-k1hx1m61	133	7	to	to	ADP
cord-152881-k1hx1m61	133	8	the	the	DET
cord-152881-k1hx1m61	133	9	median	median	ADJ
cord-152881-k1hx1m61	133	10	value	value	NOUN
cord-152881-k1hx1m61	133	11	in	in	ADP
cord-152881-k1hx1m61	133	12	table	table	NOUN
cord-152881-k1hx1m61	133	13	1	1	NUM
cord-152881-k1hx1m61	133	14	,	,	PUNCT
cord-152881-k1hx1m61	133	15	which	which	PRON
cord-152881-k1hx1m61	133	16	is	be	AUX
cord-152881-k1hx1m61	133	17	β	β	NOUN
cord-152881-k1hx1m61	133	18	=	=	NOUN
cord-152881-k1hx1m61	133	19	0.29	0.29	NUM
cord-152881-k1hx1m61	133	20	.	.	PUNCT
cord-152881-k1hx1m61	134	1	when	when	SCONJ
cord-152881-k1hx1m61	134	2	the	the	DET
cord-152881-k1hx1m61	134	3	number	number	NOUN
cord-152881-k1hx1m61	134	4	of	of	ADP
cord-152881-k1hx1m61	134	5	total	total	ADJ
cord-152881-k1hx1m61	134	6	cases	case	NOUN
cord-152881-k1hx1m61	134	7	c	c	PROPN
cord-152881-k1hx1m61	134	8	=	=	SYM
cord-152881-k1hx1m61	134	9	y	y	X
cord-152881-k1hx1m61	134	10	+	+	CCONJ
cord-152881-k1hx1m61	134	11	z	z	PROPN
cord-152881-k1hx1m61	134	12	exceeds	exceed	VERB
cord-152881-k1hx1m61	134	13	10	10	NUM
cord-152881-k1hx1m61	134	14	−5	−5	NOUN
cord-152881-k1hx1m61	134	15	,	,	PUNCT
cord-152881-k1hx1m61	134	16	the	the	DET
cord-152881-k1hx1m61	134	17	government	government	NOUN
cord-152881-k1hx1m61	134	18	introduces	introduce	VERB
cord-152881-k1hx1m61	134	19	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	134	20	measures	measure	NOUN
cord-152881-k1hx1m61	134	21	such	such	ADJ
cord-152881-k1hx1m61	134	22	as	as	ADP
cord-152881-k1hx1m61	134	23	social	social	ADJ
cord-152881-k1hx1m61	134	24	distancing	distancing	NOUN
cord-152881-k1hx1m61	134	25	,	,	PUNCT
cord-152881-k1hx1m61	134	26	and	and	CCONJ
cord-152881-k1hx1m61	134	27	the	the	DET
cord-152881-k1hx1m61	134	28	transmission	transmission	NOUN
cord-152881-k1hx1m61	134	29	rate	rate	NOUN
cord-152881-k1hx1m61	134	30	changes	change	NOUN
cord-152881-k1hx1m61	134	31	to	to	ADP
cord-152881-k1hx1m61	134	32	either	either	CCONJ
cord-152881-k1hx1m61	134	33	β	β	PROPN
cord-152881-k1hx1m61	134	34	=	=	NOUN
cord-152881-k1hx1m61	134	35	0.2	0.2	NUM
cord-152881-k1hx1m61	134	36	or	or	CCONJ
cord-152881-k1hx1m61	134	37	β	β	PROPN
cord-152881-k1hx1m61	134	38	=	=	SYM
cord-152881-k1hx1m61	134	39	0.1	0.1	NUM
cord-152881-k1hx1m61	134	40	.	.	SYM
cord-152881-k1hx1m61	135	1	5	5	NUM
cord-152881-k1hx1m61	135	2	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	135	3	measures	measure	NOUN
cord-152881-k1hx1m61	135	4	are	be	AUX
cord-152881-k1hx1m61	135	5	lifted	lift	VERB
cord-152881-k1hx1m61	135	6	after	after	ADP
cord-152881-k1hx1m61	135	7	12	12	NUM
cord-152881-k1hx1m61	135	8	weeks	week	NOUN
cord-152881-k1hx1m61	135	9	and	and	CCONJ
cord-152881-k1hx1m61	135	10	the	the	DET
cord-152881-k1hx1m61	135	11	transmission	transmission	NOUN
cord-152881-k1hx1m61	135	12	rate	rate	NOUN
cord-152881-k1hx1m61	135	13	returns	return	NOUN
cord-152881-k1hx1m61	135	14	to	to	ADP
cord-152881-k1hx1m61	135	15	the	the	DET
cord-152881-k1hx1m61	135	16	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	135	17	value	value	NOUN
cord-152881-k1hx1m61	135	18	.	.	PUNCT
cord-152881-k1hx1m61	136	1	i	i	PRON
cord-152881-k1hx1m61	136	2	also	also	ADV
cord-152881-k1hx1m61	136	3	consider	consider	VERB
cord-152881-k1hx1m61	136	4	the	the	DET
cord-152881-k1hx1m61	136	5	optimal	optimal	ADJ
cord-152881-k1hx1m61	136	6	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	136	7	policy	policy	NOUN
cord-152881-k1hx1m61	136	8	,	,	PUNCT
cord-152881-k1hx1m61	136	9	where	where	SCONJ
cord-152881-k1hx1m61	136	10	the	the	DET
cord-152881-k1hx1m61	136	11	government	government	NOUN
cord-152881-k1hx1m61	136	12	chooses	choose	VERB
cord-152881-k1hx1m61	136	13	the	the	DET
cord-152881-k1hx1m61	136	14	threshold	threshold	NOUN
cord-152881-k1hx1m61	136	15	of	of	ADP
cord-152881-k1hx1m61	136	16	casesc	casesc	PROPN
cord-152881-k1hx1m61	136	17	to	to	PART
cord-152881-k1hx1m61	136	18	introduce	introduce	VERB
cord-152881-k1hx1m61	136	19	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	136	20	measures	measure	NOUN
cord-152881-k1hx1m61	136	21	as	as	ADV
cord-152881-k1hx1m61	136	22	well	well	ADV
cord-152881-k1hx1m61	136	23	as	as	ADP
cord-152881-k1hx1m61	136	24	the	the	DET
cord-152881-k1hx1m61	136	25	transmission	transmission	NOUN
cord-152881-k1hx1m61	136	26	rate	rate	NOUN
cord-152881-k1hx1m61	136	27	β	β	NOUN
cord-152881-k1hx1m61	136	28	to	to	PART
cord-152881-k1hx1m61	136	29	minimize	minimize	VERB
cord-152881-k1hx1m61	136	30	the	the	DET
cord-152881-k1hx1m61	136	31	maximum	maximum	ADJ
cord-152881-k1hx1m61	136	32	infection	infection	NOUN
cord-152881-k1hx1m61	136	33	rate	rate	NOUN
cord-152881-k1hx1m61	136	34	y	y	PROPN
cord-152881-k1hx1m61	136	35	max	max	PROPN
cord-152881-k1hx1m61	136	36	.	.	PUNCT
cord-152881-k1hx1m61	137	1	figure	figure	VERB
cord-152881-k1hx1m61	137	2	3	3	NUM
cord-152881-k1hx1m61	137	3	shows	show	VERB
cord-152881-k1hx1m61	137	4	the	the	DET
cord-152881-k1hx1m61	137	5	fraction	fraction	NOUN
cord-152881-k1hx1m61	137	6	of	of	ADP
cord-152881-k1hx1m61	137	7	infected	infect	VERB
cord-152881-k1hx1m61	137	8	and	and	CCONJ
cord-152881-k1hx1m61	137	9	recovered	recover	VERB
cord-152881-k1hx1m61	137	10	over	over	ADP
cord-152881-k1hx1m61	137	11	time	time	NOUN
cord-152881-k1hx1m61	137	12	.	.	PUNCT
cord-152881-k1hx1m61	138	1	when	when	SCONJ
cord-152881-k1hx1m61	138	2	the	the	DET
cord-152881-k1hx1m61	138	3	government	government	NOUN
cord-152881-k1hx1m61	138	4	introduces	introduce	VERB
cord-152881-k1hx1m61	138	5	early	early	ADJ
cord-152881-k1hx1m61	138	6	but	but	CCONJ
cord-152881-k1hx1m61	138	7	temporary	temporary	ADJ
cord-152881-k1hx1m61	138	8	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	138	9	measures	measure	NOUN
cord-152881-k1hx1m61	138	10	(	(	PUNCT
cord-152881-k1hx1m61	138	11	left	left	ADJ
cord-152881-k1hx1m61	138	12	panel	panel	NOUN
cord-152881-k1hx1m61	138	13	)	)	PUNCT
cord-152881-k1hx1m61	138	14	,	,	PUNCT
cord-152881-k1hx1m61	138	15	the	the	DET
cord-152881-k1hx1m61	138	16	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	138	17	is	be	AUX
cord-152881-k1hx1m61	138	18	delayed	delay	VERB
cord-152881-k1hx1m61	138	19	but	but	CCONJ
cord-152881-k1hx1m61	138	20	the	the	DET
cord-152881-k1hx1m61	138	21	peak	peak	NOUN
cord-152881-k1hx1m61	138	22	is	be	AUX
cord-152881-k1hx1m61	138	23	unaffected	unaffected	ADJ
cord-152881-k1hx1m61	138	24	.	.	PUNCT
cord-152881-k1hx1m61	139	1	this	this	PRON
cord-152881-k1hx1m61	139	2	is	be	AUX
cord-152881-k1hx1m61	139	3	because	because	SCONJ
cord-152881-k1hx1m61	139	4	the	the	DET
cord-152881-k1hx1m61	139	5	maximum	maximum	ADJ
cord-152881-k1hx1m61	139	6	infection	infection	NOUN
cord-152881-k1hx1m61	139	7	rate	rate	NOUN
cord-152881-k1hx1m61	139	8	y	y	PROPN
cord-152881-k1hx1m61	139	9	max	max	PROPN
cord-152881-k1hx1m61	139	10	in	in	ADP
cord-152881-k1hx1m61	139	11	(	(	PUNCT
cord-152881-k1hx1m61	139	12	2.6	2.6	NUM
cord-152881-k1hx1m61	139	13	)	)	PUNCT
cord-152881-k1hx1m61	139	14	is	be	AUX
cord-152881-k1hx1m61	139	15	mostly	mostly	ADV
cord-152881-k1hx1m61	139	16	determined	determine	VERB
cord-152881-k1hx1m61	139	17	by	by	ADP
cord-152881-k1hx1m61	139	18	β	β	PROPN
cord-152881-k1hx1m61	139	19	and	and	CCONJ
cord-152881-k1hx1m61	139	20	γ	γ	NOUN
cord-152881-k1hx1m61	139	21	since	since	SCONJ
cord-152881-k1hx1m61	139	22	(	(	PUNCT
cord-152881-k1hx1m61	139	23	x	x	NOUN
cord-152881-k1hx1m61	139	24	0	0	NUM
cord-152881-k1hx1m61	139	25	,	,	PUNCT
cord-152881-k1hx1m61	139	26	y	y	PROPN
cord-152881-k1hx1m61	139	27	0	0	PUNCT
cord-152881-k1hx1m61	139	28	)	)	PUNCT
cord-152881-k1hx1m61	140	1	≈	≈	PROPN
cord-152881-k1hx1m61	140	2	(	(	PUNCT
cord-152881-k1hx1m61	140	3	1	1	NUM
cord-152881-k1hx1m61	140	4	,	,	PUNCT
cord-152881-k1hx1m61	140	5	0	0	NUM
cord-152881-k1hx1m61	140	6	)	)	PUNCT
cord-152881-k1hx1m61	140	7	,	,	PUNCT
cord-152881-k1hx1m61	140	8	and	and	CCONJ
cord-152881-k1hx1m61	140	9	the	the	DET
cord-152881-k1hx1m61	140	10	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	140	11	persists	persist	VERB
cord-152881-k1hx1m61	140	12	until	until	SCONJ
cord-152881-k1hx1m61	140	13	the	the	DET
cord-152881-k1hx1m61	140	14	population	population	NOUN
cord-152881-k1hx1m61	140	15	acquires	acquire	VERB
cord-152881-k1hx1m61	140	16	herd	herd	NOUN
cord-152881-k1hx1m61	140	17	immunity	immunity	NOUN
cord-152881-k1hx1m61	140	18	so	so	SCONJ
cord-152881-k1hx1m61	140	19	that	that	SCONJ
cord-152881-k1hx1m61	140	20	the	the	DET
cord-152881-k1hx1m61	140	21	no	no	DET
cord-152881-k1hx1m61	140	22	-	-	PUNCT
cord-152881-k1hx1m61	140	23	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	140	24	condition	condition	NOUN
cord-152881-k1hx1m61	140	25	βx	βx	ADP
cord-152881-k1hx1m61	141	1	≤	≤	PROPN
cord-152881-k1hx1m61	141	2	γ	γ	PROPN
cord-152881-k1hx1m61	141	3	holds	hold	VERB
cord-152881-k1hx1m61	141	4	.	.	PUNCT
cord-152881-k1hx1m61	142	1	while	while	SCONJ
cord-152881-k1hx1m61	142	2	early	early	ADJ
cord-152881-k1hx1m61	142	3	drastic	drastic	ADJ
cord-152881-k1hx1m61	142	4	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	142	5	measures	measure	NOUN
cord-152881-k1hx1m61	142	6	might	might	AUX
cord-152881-k1hx1m61	142	7	be	be	AUX
cord-152881-k1hx1m61	142	8	useful	useful	ADJ
cord-152881-k1hx1m61	142	9	to	to	PART
cord-152881-k1hx1m61	142	10	buy	buy	VERB
cord-152881-k1hx1m61	142	11	time	time	NOUN
cord-152881-k1hx1m61	142	12	to	to	PART
cord-152881-k1hx1m61	142	13	develop	develop	VERB
cord-152881-k1hx1m61	142	14	a	a	DET
cord-152881-k1hx1m61	142	15	vaccine	vaccine	NOUN
cord-152881-k1hx1m61	142	16	,	,	PUNCT
cord-152881-k1hx1m61	142	17	they	they	PRON
cord-152881-k1hx1m61	142	18	may	may	AUX
cord-152881-k1hx1m61	142	19	not	not	PART
cord-152881-k1hx1m61	142	20	be	be	AUX
cord-152881-k1hx1m61	142	21	effective	effective	ADJ
cord-152881-k1hx1m61	142	22	in	in	ADP
cord-152881-k1hx1m61	142	23	mitigating	mitigate	VERB
cord-152881-k1hx1m61	142	24	the	the	DET
cord-152881-k1hx1m61	142	25	peak	peak	NOUN
cord-152881-k1hx1m61	142	26	unless	unless	SCONJ
cord-152881-k1hx1m61	142	27	they	they	PRON
cord-152881-k1hx1m61	142	28	are	be	AUX
cord-152881-k1hx1m61	142	29	permanent	permanent	ADJ
cord-152881-k1hx1m61	142	30	.	.	PUNCT
cord-152881-k1hx1m61	143	1	the	the	DET
cord-152881-k1hx1m61	143	2	right	right	ADJ
cord-152881-k1hx1m61	143	3	panel	panel	NOUN
cord-152881-k1hx1m61	143	4	in	in	ADP
cord-152881-k1hx1m61	143	5	figure	figure	NOUN
cord-152881-k1hx1m61	143	6	3	3	NUM
cord-152881-k1hx1m61	143	7	shows	show	VERB
cord-152881-k1hx1m61	143	8	the	the	DET
cord-152881-k1hx1m61	143	9	course	course	NOUN
cord-152881-k1hx1m61	143	10	of	of	ADP
cord-152881-k1hx1m61	143	11	the	the	DET
cord-152881-k1hx1m61	143	12	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	143	13	under	under	ADP
cord-152881-k1hx1m61	143	14	the	the	DET
cord-152881-k1hx1m61	143	15	optimal	optimal	ADJ
cord-152881-k1hx1m61	143	16	policy	policy	NOUN
cord-152881-k1hx1m61	143	17	,	,	PUNCT
cord-152881-k1hx1m61	143	18	which	which	PRON
cord-152881-k1hx1m61	143	19	is	be	AUX
cord-152881-k1hx1m61	143	20	to	to	PART
cord-152881-k1hx1m61	143	21	introduce	introduce	VERB
cord-152881-k1hx1m61	143	22	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	143	23	measures	measure	NOUN
cord-152881-k1hx1m61	143	24	such	such	ADJ
cord-152881-k1hx1m61	143	25	that	that	SCONJ
cord-152881-k1hx1m61	143	26	β	β	PROPN
cord-152881-k1hx1m61	143	27	=	=	X
cord-152881-k1hx1m61	143	28	0.13	0.13	NUM
cord-152881-k1hx1m61	143	29	when	when	SCONJ
cord-152881-k1hx1m61	143	30	the	the	DET
cord-152881-k1hx1m61	143	31	number	number	NOUN
cord-152881-k1hx1m61	143	32	of	of	ADP
cord-152881-k1hx1m61	143	33	cases	case	NOUN
cord-152881-k1hx1m61	143	34	reachesc	reachesc	NOUN
cord-152881-k1hx1m61	143	35	=	=	X
cord-152881-k1hx1m61	143	36	6.3	6.3	NUM
cord-152881-k1hx1m61	143	37	%	%	NOUN
cord-152881-k1hx1m61	143	38	of	of	ADP
cord-152881-k1hx1m61	143	39	the	the	DET
cord-152881-k1hx1m61	143	40	population	population	NOUN
cord-152881-k1hx1m61	143	41	.	.	PUNCT
cord-152881-k1hx1m61	144	1	under	under	ADP
cord-152881-k1hx1m61	144	2	this	this	DET
cord-152881-k1hx1m61	144	3	scenario	scenario	NOUN
cord-152881-k1hx1m61	144	4	,	,	PUNCT
cord-152881-k1hx1m61	144	5	only	only	ADV
cord-152881-k1hx1m61	144	6	y	y	PROPN
cord-152881-k1hx1m61	144	7	max	max	PROPN
cord-152881-k1hx1m61	144	8	=	=	NOUN
cord-152881-k1hx1m61	144	9	6.2	6.2	NUM
cord-152881-k1hx1m61	144	10	%	%	NOUN
cord-152881-k1hx1m61	144	11	of	of	ADP
cord-152881-k1hx1m61	144	12	the	the	DET
cord-152881-k1hx1m61	144	13	population	population	NOUN
cord-152881-k1hx1m61	144	14	is	be	AUX
cord-152881-k1hx1m61	144	15	simultaneously	simultaneously	ADV
cord-152881-k1hx1m61	144	16	infected	infect	VERB
cord-152881-k1hx1m61	144	17	at	at	ADP
cord-152881-k1hx1m61	144	18	the	the	DET
cord-152881-k1hx1m61	144	19	peak	peak	NOUN
cord-152881-k1hx1m61	144	20	as	as	SCONJ
cord-152881-k1hx1m61	144	21	opposed	oppose	VERB
cord-152881-k1hx1m61	144	22	to	to	ADP
cord-152881-k1hx1m61	144	23	28	28	NUM
cord-152881-k1hx1m61	144	24	%	%	NOUN
cord-152881-k1hx1m61	144	25	under	under	ADP
cord-152881-k1hx1m61	144	26	the	the	DET
cord-152881-k1hx1m61	144	27	benchmark	benchmark	NOUN
cord-152881-k1hx1m61	144	28	scenario	scenario	NOUN
cord-152881-k1hx1m61	144	29	.	.	PUNCT
cord-152881-k1hx1m61	145	1	the	the	DET
cord-152881-k1hx1m61	145	2	intuition	intuition	NOUN
cord-152881-k1hx1m61	145	3	is	be	AUX
cord-152881-k1hx1m61	145	4	that	that	SCONJ
cord-152881-k1hx1m61	145	5	by	by	ADP
cord-152881-k1hx1m61	145	6	waiting	wait	VERB
cord-152881-k1hx1m61	145	7	to	to	PART
cord-152881-k1hx1m61	145	8	introduce	introduce	VERB
cord-152881-k1hx1m61	145	9	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	145	10	measures	measure	NOUN
cord-152881-k1hx1m61	145	11	,	,	PUNCT
cord-152881-k1hx1m61	145	12	a	a	DET
cord-152881-k1hx1m61	145	13	sufficient	sufficient	ADJ
cord-152881-k1hx1m61	145	14	fraction	fraction	NOUN
cord-152881-k1hx1m61	145	15	of	of	ADP
cord-152881-k1hx1m61	145	16	the	the	DET
cord-152881-k1hx1m61	145	17	population	population	NOUN
cord-152881-k1hx1m61	145	18	is	be	AUX
cord-152881-k1hx1m61	145	19	infected	infect	VERB
cord-152881-k1hx1m61	145	20	(	(	PUNCT
cord-152881-k1hx1m61	145	21	and	and	CCONJ
cord-152881-k1hx1m61	145	22	acquires	acquire	VERB
cord-152881-k1hx1m61	145	23	herd	herd	NOUN
cord-152881-k1hx1m61	145	24	immunity	immunity	NOUN
cord-152881-k1hx1m61	145	25	)	)	PUNCT
cord-152881-k1hx1m61	145	26	and	and	CCONJ
cord-152881-k1hx1m61	145	27	thus	thus	ADV
cord-152881-k1hx1m61	145	28	reduces	reduce	VERB
cord-152881-k1hx1m61	145	29	the	the	DET
cord-152881-k1hx1m61	145	30	peak	peak	NOUN
cord-152881-k1hx1m61	145	31	.	.	PUNCT
cord-152881-k1hx1m61	146	1	to	to	PART
cord-152881-k1hx1m61	146	2	evaluate	evaluate	VERB
cord-152881-k1hx1m61	146	3	the	the	DET
cord-152881-k1hx1m61	146	4	economic	economic	ADJ
cord-152881-k1hx1m61	146	5	impact	impact	NOUN
cord-152881-k1hx1m61	146	6	of	of	ADP
cord-152881-k1hx1m61	146	7	the	the	DET
cord-152881-k1hx1m61	146	8	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	146	9	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	146	10	,	,	PUNCT
cord-152881-k1hx1m61	146	11	in	in	ADP
cord-152881-k1hx1m61	146	12	this	this	DET
cord-152881-k1hx1m61	146	13	section	section	NOUN
cord-152881-k1hx1m61	146	14	i	i	PRON
cord-152881-k1hx1m61	146	15	solve	solve	VERB
cord-152881-k1hx1m61	146	16	a	a	DET
cord-152881-k1hx1m61	146	17	stylized	stylize	VERB
cord-152881-k1hx1m61	146	18	production	production	NOUN
cord-152881-k1hx1m61	146	19	-	-	PUNCT
cord-152881-k1hx1m61	146	20	based	base	VERB
cord-152881-k1hx1m61	146	21	asset	asset	NOUN
cord-152881-k1hx1m61	146	22	pricing	pricing	NOUN
cord-152881-k1hx1m61	146	23	model	model	NOUN
cord-152881-k1hx1m61	146	24	.	.	PUNCT
cord-152881-k1hx1m61	147	1	6	6	NUM
cord-152881-k1hx1m61	147	2	the	the	DET
cord-152881-k1hx1m61	147	3	economy	economy	NOUN
cord-152881-k1hx1m61	147	4	consists	consist	VERB
cord-152881-k1hx1m61	147	5	of	of	ADP
cord-152881-k1hx1m61	147	6	two	two	NUM
cord-152881-k1hx1m61	147	7	agent	agent	NOUN
cord-152881-k1hx1m61	147	8	types	type	NOUN
cord-152881-k1hx1m61	147	9	,	,	PUNCT
cord-152881-k1hx1m61	147	10	capitalists	capitalist	NOUN
cord-152881-k1hx1m61	147	11	and	and	CCONJ
cord-152881-k1hx1m61	147	12	workers	worker	NOUN
cord-152881-k1hx1m61	147	13	,	,	PUNCT
cord-152881-k1hx1m61	147	14	who	who	PRON
cord-152881-k1hx1m61	147	15	respectively	respectively	ADV
cord-152881-k1hx1m61	147	16	own	own	VERB
cord-152881-k1hx1m61	147	17	the	the	DET
cord-152881-k1hx1m61	147	18	capital	capital	NOUN
cord-152881-k1hx1m61	147	19	stock	stock	NOUN
cord-152881-k1hx1m61	147	20	and	and	CCONJ
cord-152881-k1hx1m61	147	21	labor	labor	NOUN
cord-152881-k1hx1m61	147	22	.	.	PUNCT
cord-152881-k1hx1m61	148	1	the	the	DET
cord-152881-k1hx1m61	148	2	capital	capital	NOUN
cord-152881-k1hx1m61	148	3	stock	stock	NOUN
cord-152881-k1hx1m61	148	4	at	at	ADP
cord-152881-k1hx1m61	148	5	time	time	NOUN
cord-152881-k1hx1m61	148	6	t	t	PROPN
cord-152881-k1hx1m61	148	7	is	be	AUX
cord-152881-k1hx1m61	148	8	denoted	denote	VERB
cord-152881-k1hx1m61	148	9	by	by	ADP
cord-152881-k1hx1m61	148	10	k	k	PROPN
cord-152881-k1hx1m61	148	11	t	t	PROPN
cord-152881-k1hx1m61	148	12	.	.	PUNCT
cord-152881-k1hx1m61	149	1	the	the	DET
cord-152881-k1hx1m61	149	2	capital	capital	NOUN
cord-152881-k1hx1m61	149	3	growth	growth	NOUN
cord-152881-k1hx1m61	149	4	rate	rate	NOUN
cord-152881-k1hx1m61	149	5	is	be	AUX
cord-152881-k1hx1m61	149	6	exogenous	exogenous	ADJ
cord-152881-k1hx1m61	149	7	,	,	PUNCT
cord-152881-k1hx1m61	149	8	lognormal	lognormal	ADJ
cord-152881-k1hx1m61	149	9	,	,	PUNCT
cord-152881-k1hx1m61	149	10	and	and	CCONJ
cord-152881-k1hx1m61	149	11	i.i.d	i.i.d	PROPN
cord-152881-k1hx1m61	149	12	.	.	PUNCT
cord-152881-k1hx1m61	150	1	over	over	ADP
cord-152881-k1hx1m61	150	2	time	time	NOUN
cord-152881-k1hx1m61	150	3	:	:	PUNCT
cord-152881-k1hx1m61	150	4	capitalists	capitalist	NOUN
cord-152881-k1hx1m61	150	5	hire	hire	VERB
cord-152881-k1hx1m61	150	6	labor	labor	NOUN
cord-152881-k1hx1m61	150	7	at	at	ADP
cord-152881-k1hx1m61	150	8	competitive	competitive	ADJ
cord-152881-k1hx1m61	150	9	markets	market	NOUN
cord-152881-k1hx1m61	150	10	and	and	CCONJ
cord-152881-k1hx1m61	150	11	produce	produce	VERB
cord-152881-k1hx1m61	150	12	a	a	DET
cord-152881-k1hx1m61	150	13	perishable	perishable	ADJ
cord-152881-k1hx1m61	150	14	good	good	NOUN
cord-152881-k1hx1m61	150	15	using	use	VERB
cord-152881-k1hx1m61	150	16	a	a	DET
cord-152881-k1hx1m61	150	17	cobb	cobb	NOUN
cord-152881-k1hx1m61	150	18	-	-	PUNCT
cord-152881-k1hx1m61	150	19	douglas	dougla	NOUN
cord-152881-k1hx1m61	150	20	production	production	NOUN
cord-152881-k1hx1m61	150	21	technology	technology	PROPN
cord-152881-k1hx1m61	151	1	y	y	PROPN
cord-152881-k1hx1m61	151	2	=	=	PROPN
cord-152881-k1hx1m61	151	3	k	k	NOUN
cord-152881-k1hx1m61	151	4	α	α	PROPN
cord-152881-k1hx1m61	151	5	l	l	PROPN
cord-152881-k1hx1m61	151	6	1−α	1−α	NUM
cord-152881-k1hx1m61	151	7	,	,	PUNCT
cord-152881-k1hx1m61	151	8	where	where	SCONJ
cord-152881-k1hx1m61	151	9	α	α	PROPN
cord-152881-k1hx1m61	151	10	∈	∈	PROPN
cord-152881-k1hx1m61	151	11	(	(	PUNCT
cord-152881-k1hx1m61	151	12	0	0	NUM
cord-152881-k1hx1m61	151	13	,	,	PUNCT
cord-152881-k1hx1m61	151	14	1	1	NUM
cord-152881-k1hx1m61	151	15	)	)	PUNCT
cord-152881-k1hx1m61	151	16	is	be	AUX
cord-152881-k1hx1m61	151	17	the	the	DET
cord-152881-k1hx1m61	151	18	capital	capital	NOUN
cord-152881-k1hx1m61	151	19	share	share	NOUN
cord-152881-k1hx1m61	151	20	.	.	PUNCT
cord-152881-k1hx1m61	152	1	the	the	DET
cord-152881-k1hx1m61	152	2	labor	labor	NOUN
cord-152881-k1hx1m61	152	3	supply	supply	NOUN
cord-152881-k1hx1m61	152	4	is	be	AUX
cord-152881-k1hx1m61	152	5	exogenous	exogenous	ADJ
cord-152881-k1hx1m61	152	6	,	,	PUNCT
cord-152881-k1hx1m61	152	7	deterministic	deterministic	ADJ
cord-152881-k1hx1m61	152	8	,	,	PUNCT
cord-152881-k1hx1m61	152	9	and	and	CCONJ
cord-152881-k1hx1m61	152	10	normalized	normalize	VERB
cord-152881-k1hx1m61	152	11	to	to	ADP
cord-152881-k1hx1m61	152	12	1	1	NUM
cord-152881-k1hx1m61	152	13	during	during	ADP
cord-152881-k1hx1m61	152	14	normal	normal	ADJ
cord-152881-k1hx1m61	152	15	times	time	NOUN
cord-152881-k1hx1m61	152	16	.	.	PUNCT
cord-152881-k1hx1m61	153	1	during	during	ADP
cord-152881-k1hx1m61	153	2	an	an	DET
cord-152881-k1hx1m61	153	3	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	153	4	,	,	PUNCT
cord-152881-k1hx1m61	153	5	workers	worker	NOUN
cord-152881-k1hx1m61	153	6	are	be	AUX
cord-152881-k1hx1m61	153	7	either	either	CCONJ
cord-152881-k1hx1m61	153	8	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	153	9	,	,	PUNCT
cord-152881-k1hx1m61	153	10	infected	infect	VERB
cord-152881-k1hx1m61	153	11	,	,	PUNCT
cord-152881-k1hx1m61	153	12	or	or	CCONJ
cord-152881-k1hx1m61	153	13	recovered	recover	VERB
cord-152881-k1hx1m61	153	14	,	,	PUNCT
cord-152881-k1hx1m61	153	15	and	and	CCONJ
cord-152881-k1hx1m61	153	16	only	only	ADV
cord-152881-k1hx1m61	153	17	non	non	ADJ
cord-152881-k1hx1m61	153	18	-	-	ADJ
cord-152881-k1hx1m61	153	19	infected	infected	ADJ
cord-152881-k1hx1m61	153	20	agents	agent	NOUN
cord-152881-k1hx1m61	153	21	can	can	AUX
cord-152881-k1hx1m61	153	22	supply	supply	VERB
cord-152881-k1hx1m61	153	23	labor	labor	NOUN
cord-152881-k1hx1m61	153	24	.	.	PUNCT
cord-152881-k1hx1m61	154	1	for	for	ADP
cord-152881-k1hx1m61	154	2	simplicity	simplicity	NOUN
cord-152881-k1hx1m61	154	3	,	,	PUNCT
cord-152881-k1hx1m61	154	4	i	i	PRON
cord-152881-k1hx1m61	154	5	assume	assume	VERB
cord-152881-k1hx1m61	154	6	that	that	SCONJ
cord-152881-k1hx1m61	154	7	workers	worker	NOUN
cord-152881-k1hx1m61	154	8	are	be	AUX
cord-152881-k1hx1m61	154	9	hand	hand	NOUN
cord-152881-k1hx1m61	154	10	-	-	PUNCT
cord-152881-k1hx1m61	154	11	to	to	ADP
cord-152881-k1hx1m61	154	12	-	-	PUNCT
cord-152881-k1hx1m61	154	13	mouth	mouth	NOUN
cord-152881-k1hx1m61	154	14	and	and	CCONJ
cord-152881-k1hx1m61	154	15	consume	consume	VERB
cord-152881-k1hx1m61	154	16	the	the	DET
cord-152881-k1hx1m61	154	17	entire	entire	ADJ
cord-152881-k1hx1m61	154	18	wage	wage	NOUN
cord-152881-k1hx1m61	154	19	.	.	PUNCT
cord-152881-k1hx1m61	155	1	the	the	DET
cord-152881-k1hx1m61	155	2	financial	financial	ADJ
cord-152881-k1hx1m61	155	3	market	market	NOUN
cord-152881-k1hx1m61	155	4	is	be	AUX
cord-152881-k1hx1m61	155	5	complete	complete	ADJ
cord-152881-k1hx1m61	155	6	,	,	PUNCT
cord-152881-k1hx1m61	155	7	and	and	CCONJ
cord-152881-k1hx1m61	155	8	capitalists	capitalist	NOUN
cord-152881-k1hx1m61	155	9	maximize	maximize	VERB
cord-152881-k1hx1m61	155	10	the	the	DET
cord-152881-k1hx1m61	155	11	constant	constant	ADJ
cord-152881-k1hx1m61	155	12	relative	relative	ADJ
cord-152881-k1hx1m61	155	13	risk	risk	NOUN
cord-152881-k1hx1m61	155	14	aversion	aversion	NOUN
cord-152881-k1hx1m61	155	15	(	(	PUNCT
cord-152881-k1hx1m61	155	16	crra	crra	PROPN
cord-152881-k1hx1m61	155	17	)	)	PUNCT
cord-152881-k1hx1m61	155	18	utility	utility	NOUN
cord-152881-k1hx1m61	155	19	where	where	SCONJ
cord-152881-k1hx1m61	155	20	β	β	PROPN
cord-152881-k1hx1m61	155	21	>	>	X
cord-152881-k1hx1m61	155	22	0	0	NUM
cord-152881-k1hx1m61	155	23	is	be	AUX
cord-152881-k1hx1m61	155	24	the	the	DET
cord-152881-k1hx1m61	155	25	discount	discount	NOUN
cord-152881-k1hx1m61	155	26	factor	factor	NOUN
cord-152881-k1hx1m61	155	27	and	and	CCONJ
cord-152881-k1hx1m61	155	28	γ	γ	X
cord-152881-k1hx1m61	155	29	>	>	X
cord-152881-k1hx1m61	155	30	0	0	NUM
cord-152881-k1hx1m61	155	31	is	be	AUX
cord-152881-k1hx1m61	155	32	the	the	DET
cord-152881-k1hx1m61	155	33	relative	relative	ADJ
cord-152881-k1hx1m61	155	34	risk	risk	NOUN
cord-152881-k1hx1m61	155	35	aversion	aversion	NOUN
cord-152881-k1hx1m61	155	36	coefficient	coefficient	NOUN
cord-152881-k1hx1m61	155	37	.	.	PUNCT
cord-152881-k1hx1m61	156	1	a	a	DET
cord-152881-k1hx1m61	156	2	stock	stock	NOUN
cord-152881-k1hx1m61	156	3	is	be	AUX
cord-152881-k1hx1m61	156	4	a	a	DET
cord-152881-k1hx1m61	156	5	claim	claim	NOUN
cord-152881-k1hx1m61	156	6	to	to	ADP
cord-152881-k1hx1m61	156	7	the	the	DET
cord-152881-k1hx1m61	156	8	representative	representative	ADJ
cord-152881-k1hx1m61	156	9	firm	firm	NOUN
cord-152881-k1hx1m61	156	10	's	's	PART
cord-152881-k1hx1m61	156	11	profit	profit	NOUN
cord-152881-k1hx1m61	156	12	k	k	NOUN
cord-152881-k1hx1m61	156	13	α	α	PROPN
cord-152881-k1hx1m61	156	14	l	l	NOUN
cord-152881-k1hx1m61	156	15	1−α	1−α	NUM
cord-152881-k1hx1m61	157	1	−	−	PUNCT
cord-152881-k1hx1m61	157	2	wl	wl	NOUN
cord-152881-k1hx1m61	157	3	,	,	PUNCT
cord-152881-k1hx1m61	157	4	where	where	SCONJ
cord-152881-k1hx1m61	157	5	w	w	PROPN
cord-152881-k1hx1m61	157	6	is	be	AUX
cord-152881-k1hx1m61	157	7	the	the	DET
cord-152881-k1hx1m61	157	8	wage	wage	NOUN
cord-152881-k1hx1m61	157	9	.	.	PUNCT
cord-152881-k1hx1m61	158	1	given	give	VERB
cord-152881-k1hx1m61	158	2	the	the	DET
cord-152881-k1hx1m61	158	3	sequence	sequence	NOUN
cord-152881-k1hx1m61	158	4	of	of	ADP
cord-152881-k1hx1m61	158	5	labor	labor	NOUN
cord-152881-k1hx1m61	158	6	supply	supply	NOUN
cord-152881-k1hx1m61	158	7	{	{	PUNCT
cord-152881-k1hx1m61	158	8	l	l	PROPN
cord-152881-k1hx1m61	158	9	t	t	PROPN
cord-152881-k1hx1m61	158	10	}	}	PUNCT
cord-152881-k1hx1m61	158	11	∞	∞	PROPN
cord-152881-k1hx1m61	158	12	t=0	t=0	PUNCT
cord-152881-k1hx1m61	158	13	,	,	PUNCT
cord-152881-k1hx1m61	158	14	we	we	PRON
cord-152881-k1hx1m61	158	15	can	can	AUX
cord-152881-k1hx1m61	158	16	solve	solve	VERB
cord-152881-k1hx1m61	158	17	for	for	ADP
cord-152881-k1hx1m61	158	18	the	the	DET
cord-152881-k1hx1m61	158	19	equilibrium	equilibrium	NOUN
cord-152881-k1hx1m61	158	20	stock	stock	NOUN
cord-152881-k1hx1m61	158	21	price	price	NOUN
cord-152881-k1hx1m61	158	22	semi	semi	ADV
cord-152881-k1hx1m61	158	23	-	-	ADV
cord-152881-k1hx1m61	158	24	analytically	analytically	ADV
cord-152881-k1hx1m61	158	25	as	as	SCONJ
cord-152881-k1hx1m61	158	26	follows	follow	VERB
cord-152881-k1hx1m61	158	27	.	.	PUNCT
cord-152881-k1hx1m61	159	1	the	the	DET
cord-152881-k1hx1m61	159	2	first	first	ADJ
cord-152881-k1hx1m61	159	3	-	-	PUNCT
cord-152881-k1hx1m61	159	4	order	order	NOUN
cord-152881-k1hx1m61	159	5	condition	condition	NOUN
cord-152881-k1hx1m61	159	6	for	for	ADP
cord-152881-k1hx1m61	159	7	profit	profit	NOUN
cord-152881-k1hx1m61	159	8	maximization	maximization	NOUN
cord-152881-k1hx1m61	159	9	implies	imply	VERB
cord-152881-k1hx1m61	159	10	w	w	PROPN
cord-152881-k1hx1m61	159	11	=	=	PROPN
cord-152881-k1hx1m61	159	12	(	(	PUNCT
cord-152881-k1hx1m61	159	13	1	1	NUM
cord-152881-k1hx1m61	159	14	−	−	NUM
cord-152881-k1hx1m61	159	15	α)(k	α)(k	NOUN
cord-152881-k1hx1m61	159	16	/	/	SYM
cord-152881-k1hx1m61	159	17	l	l	NOUN
cord-152881-k1hx1m61	159	18	)	)	PUNCT
cord-152881-k1hx1m61	159	19	α	α	X
cord-152881-k1hx1m61	159	20	.	.	PUNCT
cord-152881-k1hx1m61	160	1	hence	hence	ADV
cord-152881-k1hx1m61	160	2	the	the	DET
cord-152881-k1hx1m61	160	3	firm	firm	NOUN
cord-152881-k1hx1m61	160	4	's	's	PART
cord-152881-k1hx1m61	160	5	profit	profit	NOUN
cord-152881-k1hx1m61	160	6	,	,	PUNCT
cord-152881-k1hx1m61	160	7	which	which	PRON
cord-152881-k1hx1m61	160	8	by	by	ADP
cord-152881-k1hx1m61	160	9	market	market	NOUN
cord-152881-k1hx1m61	160	10	clearing	clearing	NOUN
cord-152881-k1hx1m61	160	11	must	must	AUX
cord-152881-k1hx1m61	160	12	equal	equal	VERB
cord-152881-k1hx1m61	160	13	consumption	consumption	NOUN
cord-152881-k1hx1m61	160	14	of	of	ADP
cord-152881-k1hx1m61	160	15	capitalists	capitalist	NOUN
cord-152881-k1hx1m61	160	16	,	,	PUNCT
cord-152881-k1hx1m61	160	17	is	be	AUX
cord-152881-k1hx1m61	160	18	(	(	PUNCT
cord-152881-k1hx1m61	160	19	4.1	4.1	NUM
cord-152881-k1hx1m61	160	20	)	)	PUNCT
cord-152881-k1hx1m61	160	21	because	because	SCONJ
cord-152881-k1hx1m61	160	22	the	the	DET
cord-152881-k1hx1m61	160	23	marginal	marginal	ADJ
cord-152881-k1hx1m61	160	24	buyer	buyer	NOUN
cord-152881-k1hx1m61	160	25	of	of	ADP
cord-152881-k1hx1m61	160	26	the	the	DET
cord-152881-k1hx1m61	160	27	stock	stock	NOUN
cord-152881-k1hx1m61	160	28	is	be	AUX
cord-152881-k1hx1m61	160	29	a	a	DET
cord-152881-k1hx1m61	160	30	capitalist	capitalist	NOUN
cord-152881-k1hx1m61	160	31	,	,	PUNCT
cord-152881-k1hx1m61	160	32	the	the	DET
cord-152881-k1hx1m61	160	33	stochastic	stochastic	ADJ
cord-152881-k1hx1m61	160	34	discount	discount	NOUN
cord-152881-k1hx1m61	160	35	factor	factor	NOUN
cord-152881-k1hx1m61	160	36	of	of	ADP
cord-152881-k1hx1m61	160	37	the	the	DET
cord-152881-k1hx1m61	160	38	economy	economy	NOUN
cord-152881-k1hx1m61	160	39	is	be	AUX
cord-152881-k1hx1m61	160	40	given	give	VERB
cord-152881-k1hx1m61	160	41	by	by	ADP
cord-152881-k1hx1m61	160	42	m	m	PRON
cord-152881-k1hx1m61	160	43	t+1	t+1	PROPN
cord-152881-k1hx1m61	160	44	=	=	NOUN
cord-152881-k1hx1m61	160	45	β(c	β(c	NOUN
cord-152881-k1hx1m61	160	46	t+1	t+1	X
cord-152881-k1hx1m61	160	47	/c	/c	PUNCT
cord-152881-k1hx1m61	160	48	t	t	NOUN
cord-152881-k1hx1m61	160	49	)	)	PUNCT
cord-152881-k1hx1m61	160	50	−γ	−γ	NOUN
cord-152881-k1hx1m61	160	51	.	.	PUNCT
cord-152881-k1hx1m61	161	1	letting	let	VERB
cord-152881-k1hx1m61	161	2	p	p	PROPN
cord-152881-k1hx1m61	161	3	t	t	PROPN
cord-152881-k1hx1m61	161	4	be	be	AUX
cord-152881-k1hx1m61	161	5	the	the	DET
cord-152881-k1hx1m61	161	6	stock	stock	NOUN
cord-152881-k1hx1m61	161	7	price	price	NOUN
cord-152881-k1hx1m61	161	8	,	,	PUNCT
cord-152881-k1hx1m61	161	9	the	the	DET
cord-152881-k1hx1m61	161	10	no	no	DET
cord-152881-k1hx1m61	161	11	-	-	PUNCT
cord-152881-k1hx1m61	161	12	arbitrage	arbitrage	NOUN
cord-152881-k1hx1m61	161	13	condition	condition	NOUN
cord-152881-k1hx1m61	161	14	implies	imply	VERB
cord-152881-k1hx1m61	161	15	dividing	divide	VERB
cord-152881-k1hx1m61	161	16	both	both	DET
cord-152881-k1hx1m61	161	17	sides	side	NOUN
cord-152881-k1hx1m61	161	18	of	of	ADP
cord-152881-k1hx1m61	161	19	(	(	PUNCT
cord-152881-k1hx1m61	161	20	4.2	4.2	NUM
cord-152881-k1hx1m61	161	21	)	)	PUNCT
cord-152881-k1hx1m61	161	22	by	by	ADP
cord-152881-k1hx1m61	161	23	c	c	PROPN
cord-152881-k1hx1m61	161	24	t	t	PROPN
cord-152881-k1hx1m61	161	25	,	,	PUNCT
cord-152881-k1hx1m61	161	26	letting	let	VERB
cord-152881-k1hx1m61	161	27	v	v	ADP
cord-152881-k1hx1m61	161	28	t	t	PROPN
cord-152881-k1hx1m61	161	29	=	=	SYM
cord-152881-k1hx1m61	161	30	p	p	PROPN
cord-152881-k1hx1m61	161	31	t	t	PROPN
cord-152881-k1hx1m61	161	32	/c	/c	PUNCT
cord-152881-k1hx1m61	162	1	t	t	PRON
cord-152881-k1hx1m61	162	2	be	be	AUX
cord-152881-k1hx1m61	162	3	the	the	DET
cord-152881-k1hx1m61	162	4	price	price	NOUN
cord-152881-k1hx1m61	162	5	-	-	PUNCT
cord-152881-k1hx1m61	162	6	dividend	dividend	NOUN
cord-152881-k1hx1m61	162	7	ratio	ratio	NOUN
cord-152881-k1hx1m61	162	8	,	,	PUNCT
cord-152881-k1hx1m61	162	9	and	and	CCONJ
cord-152881-k1hx1m61	162	10	using	use	VERB
cord-152881-k1hx1m61	162	11	(	(	PUNCT
cord-152881-k1hx1m61	162	12	4.1	4.1	NUM
cord-152881-k1hx1m61	162	13	)	)	PUNCT
cord-152881-k1hx1m61	162	14	,	,	PUNCT
cord-152881-k1hx1m61	162	15	we	we	PRON
cord-152881-k1hx1m61	162	16	obtain	obtain	VERB
cord-152881-k1hx1m61	162	17	because	because	SCONJ
cord-152881-k1hx1m61	162	18	capital	capital	NOUN
cord-152881-k1hx1m61	162	19	growth	growth	NOUN
cord-152881-k1hx1m61	162	20	is	be	AUX
cord-152881-k1hx1m61	162	21	i.i.d	i.i.d	PROPN
cord-152881-k1hx1m61	162	22	.	.	PUNCT
cord-152881-k1hx1m61	163	1	normal	normal	ADJ
cord-152881-k1hx1m61	163	2	and	and	CCONJ
cord-152881-k1hx1m61	163	3	labor	labor	NOUN
cord-152881-k1hx1m61	163	4	supply	supply	NOUN
cord-152881-k1hx1m61	163	5	is	be	AUX
cord-152881-k1hx1m61	163	6	deterministic	deterministic	ADJ
cord-152881-k1hx1m61	163	7	,	,	PUNCT
cord-152881-k1hx1m61	163	8	we	we	PRON
cord-152881-k1hx1m61	163	9	can	can	AUX
cord-152881-k1hx1m61	163	10	rewrite	rewrite	VERB
cord-152881-k1hx1m61	163	11	the	the	DET
cord-152881-k1hx1m61	163	12	price	price	NOUN
cord-152881-k1hx1m61	163	13	-	-	PUNCT
cord-152881-k1hx1m61	163	14	dividend	dividend	NOUN
cord-152881-k1hx1m61	163	15	ratio	ratio	NOUN
cord-152881-k1hx1m61	163	16	as	as	ADP
cord-152881-k1hx1m61	163	17	where	where	SCONJ
cord-152881-k1hx1m61	163	18	κ	κ	PROPN
cord-152881-k1hx1m61	163	19	=	=	NOUN
cord-152881-k1hx1m61	163	20	βe	βe	X
cord-152881-k1hx1m61	163	21	α(1−γ)µ+[α(1−γ	α(1−γ)µ+[α(1−γ	PROPN
cord-152881-k1hx1m61	163	22	)	)	PUNCT
cord-152881-k1hx1m61	163	23	]	]	PUNCT
cord-152881-k1hx1m61	163	24	2	2	NUM
cord-152881-k1hx1m61	163	25	σ	σ	NOUN
cord-152881-k1hx1m61	163	26	2	2	NUM
cord-152881-k1hx1m61	163	27	/2	/2	NOUN
cord-152881-k1hx1m61	163	28	.	.	PUNCT
cord-152881-k1hx1m61	164	1	in	in	ADP
cord-152881-k1hx1m61	164	2	normal	normal	ADJ
cord-152881-k1hx1m61	164	3	times	time	NOUN
cord-152881-k1hx1m61	164	4	,	,	PUNCT
cord-152881-k1hx1m61	164	5	we	we	PRON
cord-152881-k1hx1m61	164	6	have	have	VERB
cord-152881-k1hx1m61	164	7	l	l	PROPN
cord-152881-k1hx1m61	164	8	t	t	PROPN
cord-152881-k1hx1m61	164	9	≡	≡	PROPN
cord-152881-k1hx1m61	164	10	1	1	NUM
cord-152881-k1hx1m61	164	11	and	and	CCONJ
cord-152881-k1hx1m61	164	12	v	v	ADP
cord-152881-k1hx1m61	164	13	t	t	NOUN
cord-152881-k1hx1m61	164	14	≡	≡	X
cord-152881-k1hx1m61	164	15	κ	κ	NOUN
cord-152881-k1hx1m61	164	16	1−κ	1−κ	NUM
cord-152881-k1hx1m61	164	17	,	,	PUNCT
cord-152881-k1hx1m61	164	18	where	where	SCONJ
cord-152881-k1hx1m61	164	19	we	we	PRON
cord-152881-k1hx1m61	164	20	need	need	VERB
cord-152881-k1hx1m61	164	21	κ	κ	NOUN
cord-152881-k1hx1m61	164	22	<	<	X
cord-152881-k1hx1m61	164	23	1	1	NUM
cord-152881-k1hx1m61	164	24	for	for	ADP
cord-152881-k1hx1m61	164	25	convergence	convergence	NOUN
cord-152881-k1hx1m61	164	26	.	.	PUNCT
cord-152881-k1hx1m61	165	1	during	during	ADP
cord-152881-k1hx1m61	165	2	an	an	DET
cord-152881-k1hx1m61	165	3	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	165	4	,	,	PUNCT
cord-152881-k1hx1m61	165	5	it	it	PRON
cord-152881-k1hx1m61	165	6	is	be	AUX
cord-152881-k1hx1m61	165	7	straightforward	straightforward	ADJ
cord-152881-k1hx1m61	165	8	to	to	PART
cord-152881-k1hx1m61	165	9	compute	compute	VERB
cord-152881-k1hx1m61	165	10	the	the	DET
cord-152881-k1hx1m61	165	11	price	price	NOUN
cord-152881-k1hx1m61	165	12	-	-	PUNCT
cord-152881-k1hx1m61	165	13	dividend	dividend	NOUN
cord-152881-k1hx1m61	165	14	ratio	ratio	NOUN
cord-152881-k1hx1m61	165	15	by	by	ADP
cord-152881-k1hx1m61	165	16	iterating	iterate	VERB
cord-152881-k1hx1m61	165	17	(	(	PUNCT
cord-152881-k1hx1m61	165	18	4.3	4.3	NUM
cord-152881-k1hx1m61	165	19	)	)	PUNCT
cord-152881-k1hx1m61	165	20	using	use	VERB
cord-152881-k1hx1m61	165	21	the	the	DET
cord-152881-k1hx1m61	165	22	boundary	boundary	ADJ
cord-152881-k1hx1m61	165	23	condition	condition	NOUN
cord-152881-k1hx1m61	165	24	v	v	ADP
cord-152881-k1hx1m61	165	25	∞	∞	NUM
cord-152881-k1hx1m61	165	26	=	=	SYM
cord-152881-k1hx1m61	165	27	κ	κ	NOUN
cord-152881-k1hx1m61	165	28	1−κ	1−κ	NUM
cord-152881-k1hx1m61	165	29	.	.	PUNCT
cord-152881-k1hx1m61	166	1	i	i	PRON
cord-152881-k1hx1m61	166	2	calibrate	calibrate	VERB
cord-152881-k1hx1m61	166	3	the	the	DET
cord-152881-k1hx1m61	166	4	model	model	NOUN
cord-152881-k1hx1m61	166	5	at	at	ADP
cord-152881-k1hx1m61	166	6	daily	daily	ADJ
cord-152881-k1hx1m61	166	7	frequency	frequency	NOUN
cord-152881-k1hx1m61	166	8	.	.	PUNCT
cord-152881-k1hx1m61	167	1	i	i	PRON
cord-152881-k1hx1m61	167	2	set	set	VERB
cord-152881-k1hx1m61	167	3	the	the	DET
cord-152881-k1hx1m61	167	4	capital	capital	NOUN
cord-152881-k1hx1m61	167	5	share	share	NOUN
cord-152881-k1hx1m61	167	6	to	to	ADP
cord-152881-k1hx1m61	167	7	α	α	PROPN
cord-152881-k1hx1m61	167	8	=	=	NOUN
cord-152881-k1hx1m61	167	9	0.38	0.38	NUM
cord-152881-k1hx1m61	167	10	and	and	CCONJ
cord-152881-k1hx1m61	167	11	the	the	DET
cord-152881-k1hx1m61	167	12	relative	relative	ADJ
cord-152881-k1hx1m61	167	13	risk	risk	NOUN
cord-152881-k1hx1m61	167	14	aversion	aversion	NOUN
cord-152881-k1hx1m61	167	15	to	to	ADP
cord-152881-k1hx1m61	167	16	γ	γ	PROPN
cord-152881-k1hx1m61	167	17	=	=	SYM
cord-152881-k1hx1m61	167	18	3	3	NUM
cord-152881-k1hx1m61	167	19	,	,	PUNCT
cord-152881-k1hx1m61	167	20	which	which	PRON
cord-152881-k1hx1m61	167	21	are	be	AUX
cord-152881-k1hx1m61	167	22	standard	standard	ADJ
cord-152881-k1hx1m61	167	23	values	value	NOUN
cord-152881-k1hx1m61	167	24	.	.	PUNCT
cord-152881-k1hx1m61	168	1	i	i	PRON
cord-152881-k1hx1m61	168	2	assume	assume	VERB
cord-152881-k1hx1m61	168	3	a	a	DET
cord-152881-k1hx1m61	168	4	4	4	NUM
cord-152881-k1hx1m61	168	5	%	%	NOUN
cord-152881-k1hx1m61	168	6	annual	annual	ADJ
cord-152881-k1hx1m61	168	7	discount	discount	NOUN
cord-152881-k1hx1m61	168	8	rate	rate	NOUN
cord-152881-k1hx1m61	168	9	,	,	PUNCT
cord-152881-k1hx1m61	168	10	so	so	ADV
cord-152881-k1hx1m61	168	11	β	β	PROPN
cord-152881-k1hx1m61	168	12	=	=	NOUN
cord-152881-k1hx1m61	168	13	exp(−0.04	exp(−0.04	PROPN
cord-152881-k1hx1m61	168	14	/	/	SYM
cord-152881-k1hx1m61	168	15	n	n	NOUN
cord-152881-k1hx1m61	168	16	d	d	PROPN
cord-152881-k1hx1m61	168	17	)	)	PUNCT
cord-152881-k1hx1m61	168	18	,	,	PUNCT
cord-152881-k1hx1m61	168	19	where	where	SCONJ
cord-152881-k1hx1m61	168	20	n	n	NOUN
cord-152881-k1hx1m61	168	21	d	d	PROPN
cord-152881-k1hx1m61	168	22	=	=	SYM
cord-152881-k1hx1m61	168	23	365.25	365.25	NUM
cord-152881-k1hx1m61	168	24	is	be	AUX
cord-152881-k1hx1m61	168	25	the	the	DET
cord-152881-k1hx1m61	168	26	number	number	NOUN
cord-152881-k1hx1m61	168	27	of	of	ADP
cord-152881-k1hx1m61	168	28	days	day	NOUN
cord-152881-k1hx1m61	168	29	in	in	ADP
cord-152881-k1hx1m61	168	30	a	a	DET
cord-152881-k1hx1m61	168	31	year	year	NOUN
cord-152881-k1hx1m61	168	32	.	.	PUNCT
cord-152881-k1hx1m61	169	1	to	to	PART
cord-152881-k1hx1m61	169	2	calibrate	calibrate	VERB
cord-152881-k1hx1m61	169	3	capital	capital	NOUN
cord-152881-k1hx1m61	169	4	growth	growth	NOUN
cord-152881-k1hx1m61	169	5	and	and	CCONJ
cord-152881-k1hx1m61	169	6	volatility	volatility	NOUN
cord-152881-k1hx1m61	169	7	,	,	PUNCT
cord-152881-k1hx1m61	169	8	note	note	VERB
cord-152881-k1hx1m61	169	9	that	that	SCONJ
cord-152881-k1hx1m61	169	10	in	in	ADP
cord-152881-k1hx1m61	169	11	normal	normal	ADJ
cord-152881-k1hx1m61	169	12	times	time	NOUN
cord-152881-k1hx1m61	169	13	we	we	PRON
cord-152881-k1hx1m61	169	14	have	have	VERB
cord-152881-k1hx1m61	169	15	l	l	PROPN
cord-152881-k1hx1m61	169	16	=	=	NOUN
cord-152881-k1hx1m61	169	17	1	1	NUM
cord-152881-k1hx1m61	169	18	and	and	CCONJ
cord-152881-k1hx1m61	169	19	hence	hence	ADV
cord-152881-k1hx1m61	169	20	y	y	PROPN
cord-152881-k1hx1m61	169	21	=	=	PROPN
cord-152881-k1hx1m61	169	22	k	k	X
cord-152881-k1hx1m61	169	23	α	α	PROPN
cord-152881-k1hx1m61	169	24	.	.	PUNCT
cord-152881-k1hx1m61	170	1	taking	take	VERB
cord-152881-k1hx1m61	170	2	the	the	DET
cord-152881-k1hx1m61	170	3	log	log	NOUN
cord-152881-k1hx1m61	170	4	difference	difference	NOUN
cord-152881-k1hx1m61	170	5	,	,	PUNCT
cord-152881-k1hx1m61	170	6	we	we	PRON
cord-152881-k1hx1m61	170	7	obtain	obtain	VERB
cord-152881-k1hx1m61	170	8	log(y	log(y	PROPN
cord-152881-k1hx1m61	170	9	t+1	t+1	PUNCT
cord-152881-k1hx1m61	170	10	/y	/y	PUNCT
cord-152881-k1hx1m61	171	1	t	t	NOUN
cord-152881-k1hx1m61	171	2	)	)	PUNCT
cord-152881-k1hx1m61	172	1	=	=	VERB
cord-152881-k1hx1m61	172	2	α	α	X
cord-152881-k1hx1m61	173	1	log(k	log(k	X
cord-152881-k1hx1m61	173	2	t+1	t+1	X
cord-152881-k1hx1m61	173	3	/k	/k	PUNCT
cord-152881-k1hx1m61	174	1	t	t	NOUN
cord-152881-k1hx1m61	174	2	)	)	PUNCT
cord-152881-k1hx1m61	174	3	.	.	PUNCT
cord-152881-k1hx1m61	175	1	therefore	therefore	ADV
cord-152881-k1hx1m61	175	2	according	accord	VERB
cord-152881-k1hx1m61	175	3	to	to	ADP
cord-152881-k1hx1m61	175	4	the	the	DET
cord-152881-k1hx1m61	175	5	model	model	NOUN
cord-152881-k1hx1m61	175	6	,	,	PUNCT
cord-152881-k1hx1m61	175	7	capital	capital	NOUN
cord-152881-k1hx1m61	175	8	growth	growth	NOUN
cord-152881-k1hx1m61	175	9	rate	rate	NOUN
cord-152881-k1hx1m61	175	10	and	and	CCONJ
cord-152881-k1hx1m61	175	11	volatility	volatility	NOUN
cord-152881-k1hx1m61	175	12	are	be	AUX
cord-152881-k1hx1m61	175	13	1	1	NUM
cord-152881-k1hx1m61	175	14	/	/	SYM
cord-152881-k1hx1m61	175	15	α	α	NOUN
cord-152881-k1hx1m61	175	16	times	time	NOUN
cord-152881-k1hx1m61	175	17	those	those	PRON
cord-152881-k1hx1m61	175	18	of	of	ADP
cord-152881-k1hx1m61	175	19	output	output	NOUN
cord-152881-k1hx1m61	175	20	.	.	PUNCT
cord-152881-k1hx1m61	176	1	i	i	PRON
cord-152881-k1hx1m61	176	2	calibrate	calibrate	VERB
cord-152881-k1hx1m61	176	3	these	these	DET
cord-152881-k1hx1m61	176	4	parameters	parameter	NOUN
cord-152881-k1hx1m61	176	5	from	from	ADP
cord-152881-k1hx1m61	176	6	the	the	DET
cord-152881-k1hx1m61	176	7	us	us	PROPN
cord-152881-k1hx1m61	176	8	quarterly	quarterly	ADJ
cord-152881-k1hx1m61	176	9	real	real	ADJ
cord-152881-k1hx1m61	176	10	gdp	gdp	NOUN
cord-152881-k1hx1m61	176	11	per	per	ADP
cord-152881-k1hx1m61	176	12	capita	capita	NOUN
cord-152881-k1hx1m61	176	13	in	in	ADP
cord-152881-k1hx1m61	176	14	1947q1	1947q1	NUM
cord-152881-k1hx1m61	176	15	-	-	PUNCT
cord-152881-k1hx1m61	176	16	2019q4	2019q4	NUM
cord-152881-k1hx1m61	176	17	and	and	CCONJ
cord-152881-k1hx1m61	176	18	obtain	obtain	VERB
cord-152881-k1hx1m61	176	19	µ	µ	PROPN
cord-152881-k1hx1m61	176	20	=	=	X
cord-152881-k1hx1m61	176	21	0.0511	0.0511	NUM
cord-152881-k1hx1m61	176	22	and	and	CCONJ
cord-152881-k1hx1m61	176	23	σ	σ	PROPN
cord-152881-k1hx1m61	176	24	=	=	NOUN
cord-152881-k1hx1m61	176	25	0.0487	0.0487	NUM
cord-152881-k1hx1m61	176	26	at	at	ADP
cord-152881-k1hx1m61	176	27	the	the	DET
cord-152881-k1hx1m61	176	28	annual	annual	ADJ
cord-152881-k1hx1m61	176	29	frequency	frequency	NOUN
cord-152881-k1hx1m61	176	30	.	.	PUNCT
cord-152881-k1hx1m61	177	1	7	7	NUM
cord-152881-k1hx1m61	177	2	for	for	ADP
cord-152881-k1hx1m61	177	3	the	the	DET
cord-152881-k1hx1m61	177	4	transmission	transmission	NOUN
cord-152881-k1hx1m61	177	5	rate	rate	NOUN
cord-152881-k1hx1m61	177	6	,	,	PUNCT
cord-152881-k1hx1m61	177	7	using	use	VERB
cord-152881-k1hx1m61	177	8	the	the	DET
cord-152881-k1hx1m61	177	9	point	point	NOUN
cord-152881-k1hx1m61	177	10	estimates	estimate	NOUN
cord-152881-k1hx1m61	177	11	in	in	ADP
cord-152881-k1hx1m61	177	12	section	section	NOUN
cord-152881-k1hx1m61	177	13	3	3	NUM
cord-152881-k1hx1m61	177	14	,	,	PUNCT
cord-152881-k1hx1m61	177	15	i	i	PRON
cord-152881-k1hx1m61	177	16	consider	consider	VERB
cord-152881-k1hx1m61	177	17	β	β	NOUN
cord-152881-k1hx1m61	177	18	0	0	PUNCT
cord-152881-k1hx1m61	177	19	=	=	SYM
cord-152881-k1hx1m61	177	20	0.29	0.29	NUM
cord-152881-k1hx1m61	177	21	.	.	PUNCT
cord-152881-k1hx1m61	178	1	the	the	DET
cord-152881-k1hx1m61	178	2	recovery	recovery	NOUN
cord-152881-k1hx1m61	178	3	rate	rate	NOUN
cord-152881-k1hx1m61	178	4	is	be	AUX
cord-152881-k1hx1m61	178	5	γ	γ	NOUN
cord-152881-k1hx1m61	178	6	0	0	NUM
cord-152881-k1hx1m61	178	7	=	=	SYM
cord-152881-k1hx1m61	178	8	0.1	0.1	NUM
cord-152881-k1hx1m61	178	9	.	.	PUNCT
cord-152881-k1hx1m61	179	1	the	the	DET
cord-152881-k1hx1m61	179	2	initial	initial	ADJ
cord-152881-k1hx1m61	179	3	condition	condition	NOUN
cord-152881-k1hx1m61	179	4	is	be	AUX
cord-152881-k1hx1m61	179	5	(	(	PUNCT
cord-152881-k1hx1m61	179	6	y	y	PROPN
cord-152881-k1hx1m61	179	7	0	0	PROPN
cord-152881-k1hx1m61	179	8	,	,	PUNCT
cord-152881-k1hx1m61	179	9	z	z	NOUN
cord-152881-k1hx1m61	179	10	0	0	PUNCT
cord-152881-k1hx1m61	179	11	)	)	PUNCT
cord-152881-k1hx1m61	180	1	=	=	PROPN
cord-152881-k1hx1m61	180	2	(	(	PUNCT
cord-152881-k1hx1m61	180	3	10	10	NUM
cord-152881-k1hx1m61	180	4	−8	−8	NOUN
cord-152881-k1hx1m61	180	5	,	,	PUNCT
cord-152881-k1hx1m61	180	6	0	0	NUM
cord-152881-k1hx1m61	180	7	)	)	PUNCT
cord-152881-k1hx1m61	180	8	.	.	PUNCT
cord-152881-k1hx1m61	181	1	figure	figure	NOUN
cord-152881-k1hx1m61	181	2	4	4	NUM
cord-152881-k1hx1m61	181	3	shows	show	VERB
cord-152881-k1hx1m61	181	4	the	the	DET
cord-152881-k1hx1m61	181	5	stock	stock	NOUN
cord-152881-k1hx1m61	181	6	price	price	NOUN
cord-152881-k1hx1m61	181	7	relative	relative	NOUN
cord-152881-k1hx1m61	181	8	to	to	ADP
cord-152881-k1hx1m61	181	9	potential	potential	ADJ
cord-152881-k1hx1m61	181	10	output	output	NOUN
cord-152881-k1hx1m61	181	11	p	p	NOUN
cord-152881-k1hx1m61	181	12	t	t	NOUN
cord-152881-k1hx1m61	181	13	/y	/y	PUNCT
cord-152881-k1hx1m61	182	1	*	*	PUNCT
cord-152881-k1hx1m61	183	1	t	t	NOUN
cord-152881-k1hx1m61	183	2	,	,	PUNCT
cord-152881-k1hx1m61	183	3	where	where	SCONJ
cord-152881-k1hx1m61	183	4	y	y	PROPN
cord-152881-k1hx1m61	183	5	*	*	PUNCT
cord-152881-k1hx1m61	183	6	t	t	PROPN
cord-152881-k1hx1m61	183	7	=	=	NOUN
cord-152881-k1hx1m61	183	8	k	k	PROPN
cord-152881-k1hx1m61	183	9	α	α	PROPN
cord-152881-k1hx1m61	183	10	t	t	PROPN
cord-152881-k1hx1m61	183	11	is	be	AUX
cord-152881-k1hx1m61	183	12	the	the	DET
cord-152881-k1hx1m61	183	13	full	full	ADJ
cord-152881-k1hx1m61	183	14	employment	employment	NOUN
cord-152881-k1hx1m61	183	15	output	output	NOUN
cord-152881-k1hx1m61	183	16	.	.	PUNCT
cord-152881-k1hx1m61	184	1	the	the	DET
cord-152881-k1hx1m61	184	2	left	left	ADJ
cord-152881-k1hx1m61	184	3	and	and	CCONJ
cord-152881-k1hx1m61	184	4	right	right	ADJ
cord-152881-k1hx1m61	184	5	panels	panel	NOUN
cord-152881-k1hx1m61	184	6	are	be	AUX
cord-152881-k1hx1m61	184	7	under	under	ADP
cord-152881-k1hx1m61	184	8	the	the	DET
cord-152881-k1hx1m61	184	9	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	184	10	case	case	NOUN
cord-152881-k1hx1m61	184	11	and	and	CCONJ
cord-152881-k1hx1m61	184	12	optimal	optimal	ADJ
cord-152881-k1hx1m61	184	13	policy	policy	NOUN
cord-152881-k1hx1m61	184	14	,	,	PUNCT
cord-152881-k1hx1m61	184	15	respectively	respectively	ADV
cord-152881-k1hx1m61	184	16	.	.	PUNCT
cord-152881-k1hx1m61	185	1	in	in	ADP
cord-152881-k1hx1m61	185	2	the	the	DET
cord-152881-k1hx1m61	185	3	benchmark	benchmark	ADJ
cord-152881-k1hx1m61	185	4	model	model	NOUN
cord-152881-k1hx1m61	185	5	,	,	PUNCT
cord-152881-k1hx1m61	185	6	the	the	DET
cord-152881-k1hx1m61	185	7	stock	stock	NOUN
cord-152881-k1hx1m61	185	8	price	price	NOUN
cord-152881-k1hx1m61	185	9	decreases	decrease	VERB
cord-152881-k1hx1m61	185	10	sharply	sharply	ADV
cord-152881-k1hx1m61	185	11	during	during	ADP
cord-152881-k1hx1m61	185	12	the	the	DET
cord-152881-k1hx1m61	185	13	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	185	14	by	by	ADP
cord-152881-k1hx1m61	185	15	about	about	ADV
cord-152881-k1hx1m61	185	16	50	50	NUM
cord-152881-k1hx1m61	185	17	%	%	NOUN
cord-152881-k1hx1m61	185	18	.	.	PUNCT
cord-152881-k1hx1m61	186	1	however	however	ADV
cord-152881-k1hx1m61	186	2	,	,	PUNCT
cord-152881-k1hx1m61	186	3	the	the	DET
cord-152881-k1hx1m61	186	4	stock	stock	NOUN
cord-152881-k1hx1m61	186	5	market	market	NOUN
cord-152881-k1hx1m61	186	6	crash	crash	NOUN
cord-152881-k1hx1m61	186	7	is	be	AUX
cord-152881-k1hx1m61	186	8	short	short	ADV
cord-152881-k1hx1m61	186	9	-	-	PUNCT
cord-152881-k1hx1m61	186	10	lived	live	VERB
cord-152881-k1hx1m61	186	11	and	and	CCONJ
cord-152881-k1hx1m61	186	12	prices	price	NOUN
cord-152881-k1hx1m61	186	13	recover	recover	VERB
cord-152881-k1hx1m61	186	14	quickly	quickly	ADV
cord-152881-k1hx1m61	186	15	after	after	ADP
cord-152881-k1hx1m61	186	16	the	the	DET
cord-152881-k1hx1m61	186	17	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	186	18	.	.	PUNCT
cord-152881-k1hx1m61	187	1	this	this	DET
cord-152881-k1hx1m61	187	2	observation	observation	NOUN
cord-152881-k1hx1m61	187	3	is	be	AUX
cord-152881-k1hx1m61	187	4	in	in	ADP
cord-152881-k1hx1m61	187	5	sharp	sharp	ADJ
cord-152881-k1hx1m61	187	6	contrast	contrast	NOUN
cord-152881-k1hx1m61	187	7	to	to	ADP
cord-152881-k1hx1m61	187	8	the	the	DET
cord-152881-k1hx1m61	187	9	prediction	prediction	NOUN
cord-152881-k1hx1m61	187	10	from	from	ADP
cord-152881-k1hx1m61	187	11	rare	rare	ADJ
cord-152881-k1hx1m61	187	12	disasters	disaster	NOUN
cord-152881-k1hx1m61	187	13	models	model	NOUN
cord-152881-k1hx1m61	187	14	(	(	PUNCT
cord-152881-k1hx1m61	187	15	rietz	rietz	NOUN
cord-152881-k1hx1m61	187	16	,	,	PUNCT
cord-152881-k1hx1m61	187	17	1988	1988	NUM
cord-152881-k1hx1m61	187	18	;	;	PUNCT
cord-152881-k1hx1m61	187	19	barro	barro	NOUN
cord-152881-k1hx1m61	187	20	,	,	PUNCT
cord-152881-k1hx1m61	187	21	2006	2006	NUM
cord-152881-k1hx1m61	187	22	)	)	PUNCT
cord-152881-k1hx1m61	187	23	,	,	PUNCT
cord-152881-k1hx1m61	187	24	where	where	SCONJ
cord-152881-k1hx1m61	187	25	shocks	shock	NOUN
cord-152881-k1hx1m61	187	26	are	be	AUX
cord-152881-k1hx1m61	187	27	permanent	permanent	ADJ
cord-152881-k1hx1m61	187	28	.	.	PUNCT
cord-152881-k1hx1m61	188	1	under	under	ADP
cord-152881-k1hx1m61	188	2	the	the	DET
cord-152881-k1hx1m61	188	3	optimal	optimal	ADJ
cord-152881-k1hx1m61	188	4	policy	policy	NOUN
cord-152881-k1hx1m61	188	5	,	,	PUNCT
cord-152881-k1hx1m61	188	6	because	because	SCONJ
cord-152881-k1hx1m61	188	7	the	the	DET
cord-152881-k1hx1m61	188	8	infection	infection	NOUN
cord-152881-k1hx1m61	188	9	rate	rate	NOUN
cord-152881-k1hx1m61	188	10	y	y	PROPN
cord-152881-k1hx1m61	188	11	has	have	VERB
cord-152881-k1hx1m61	188	12	two	two	NUM
cord-152881-k1hx1m61	188	13	peaks	peak	NOUN
cord-152881-k1hx1m61	188	14	,	,	PUNCT
cord-152881-k1hx1m61	188	15	the	the	DET
cord-152881-k1hx1m61	188	16	stock	stock	NOUN
cord-152881-k1hx1m61	188	17	price	price	NOUN
cord-152881-k1hx1m61	188	18	shows	show	VERB
cord-152881-k1hx1m61	188	19	a	a	DET
cord-152881-k1hx1m61	188	20	wshaped	wshape	VERB
cord-152881-k1hx1m61	188	21	pattern	pattern	NOUN
cord-152881-k1hx1m61	188	22	.	.	PUNCT
cord-152881-k1hx1m61	189	1	however	however	ADV
cord-152881-k1hx1m61	189	2	,	,	PUNCT
cord-152881-k1hx1m61	189	3	the	the	DET
cord-152881-k1hx1m61	189	4	decline	decline	NOUN
cord-152881-k1hx1m61	189	5	is	be	AUX
cord-152881-k1hx1m61	189	6	much	much	ADV
cord-152881-k1hx1m61	189	7	more	more	ADV
cord-152881-k1hx1m61	189	8	moderate	moderate	ADJ
cord-152881-k1hx1m61	189	9	at	at	ADP
cord-152881-k1hx1m61	189	10	around	around	ADP
cord-152881-k1hx1m61	189	11	10	10	NUM
cord-152881-k1hx1m61	189	12	%	%	NOUN
cord-152881-k1hx1m61	189	13	.	.	PUNCT
cord-152881-k1hx1m61	190	1	because	because	SCONJ
cord-152881-k1hx1m61	190	2	the	the	DET
cord-152881-k1hx1m61	190	3	situation	situation	NOUN
cord-152881-k1hx1m61	190	4	with	with	ADP
cord-152881-k1hx1m61	190	5	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	190	6	is	be	AUX
cord-152881-k1hx1m61	190	7	rapidly	rapidly	ADV
cord-152881-k1hx1m61	190	8	evolving	evolve	VERB
cord-152881-k1hx1m61	190	9	,	,	PUNCT
cord-152881-k1hx1m61	190	10	any	any	DET
cord-152881-k1hx1m61	190	11	analysis	analysis	NOUN
cord-152881-k1hx1m61	190	12	based	base	VERB
cord-152881-k1hx1m61	190	13	on	on	ADP
cord-152881-k1hx1m61	190	14	current	current	ADJ
cord-152881-k1hx1m61	190	15	data	datum	NOUN
cord-152881-k1hx1m61	190	16	will	will	AUX
cord-152881-k1hx1m61	190	17	quickly	quickly	ADV
cord-152881-k1hx1m61	190	18	become	become	VERB
cord-152881-k1hx1m61	190	19	out	out	ADP
cord-152881-k1hx1m61	190	20	of	of	ADP
cord-152881-k1hx1m61	190	21	date	date	NOUN
cord-152881-k1hx1m61	190	22	.	.	PUNCT
cord-152881-k1hx1m61	191	1	however	however	ADV
cord-152881-k1hx1m61	191	2	,	,	PUNCT
cord-152881-k1hx1m61	191	3	any	any	DET
cord-152881-k1hx1m61	191	4	analysis	analysis	NOUN
cord-152881-k1hx1m61	191	5	based	base	VERB
cord-152881-k1hx1m61	191	6	on	on	ADP
cord-152881-k1hx1m61	191	7	available	available	ADJ
cord-152881-k1hx1m61	191	8	data	datum	NOUN
cord-152881-k1hx1m61	191	9	is	be	AUX
cord-152881-k1hx1m61	191	10	better	well	ADJ
cord-152881-k1hx1m61	191	11	than	than	ADP
cord-152881-k1hx1m61	191	12	no	no	DET
cord-152881-k1hx1m61	191	13	analysis	analysis	NOUN
cord-152881-k1hx1m61	191	14	.	.	PUNCT
cord-152881-k1hx1m61	192	1	with	with	ADP
cord-152881-k1hx1m61	192	2	these	these	DET
cord-152881-k1hx1m61	192	3	caveats	caveat	NOUN
cord-152881-k1hx1m61	192	4	in	in	ADP
cord-152881-k1hx1m61	192	5	mind	mind	NOUN
cord-152881-k1hx1m61	192	6	,	,	PUNCT
cord-152881-k1hx1m61	192	7	i	i	PRON
cord-152881-k1hx1m61	192	8	draw	draw	VERB
cord-152881-k1hx1m61	192	9	the	the	DET
cord-152881-k1hx1m61	192	10	following	follow	VERB
cord-152881-k1hx1m61	192	11	conclusions	conclusion	NOUN
cord-152881-k1hx1m61	192	12	from	from	ADP
cord-152881-k1hx1m61	192	13	the	the	DET
cord-152881-k1hx1m61	192	14	present	present	ADJ
cord-152881-k1hx1m61	192	15	analysis	analysis	NOUN
cord-152881-k1hx1m61	192	16	.	.	PUNCT
cord-152881-k1hx1m61	193	1	the	the	DET
cord-152881-k1hx1m61	193	2	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	193	3	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	193	4	is	be	AUX
cord-152881-k1hx1m61	193	5	spreading	spread	VERB
cord-152881-k1hx1m61	193	6	except	except	SCONJ
cord-152881-k1hx1m61	193	7	in	in	ADP
cord-152881-k1hx1m61	193	8	china	china	PROPN
cord-152881-k1hx1m61	193	9	,	,	PUNCT
cord-152881-k1hx1m61	193	10	japan	japan	PROPN
cord-152881-k1hx1m61	193	11	,	,	PUNCT
cord-152881-k1hx1m61	193	12	and	and	CCONJ
cord-152881-k1hx1m61	193	13	korea	korea	PROPN
cord-152881-k1hx1m61	193	14	.	.	PUNCT
cord-152881-k1hx1m61	194	1	in	in	ADP
cord-152881-k1hx1m61	194	2	many	many	ADJ
cord-152881-k1hx1m61	194	3	countries	country	NOUN
cord-152881-k1hx1m61	194	4	the	the	DET
cord-152881-k1hx1m61	194	5	transmission	transmission	NOUN
cord-152881-k1hx1m61	194	6	rate	rate	NOUN
cord-152881-k1hx1m61	194	7	at	at	ADP
cord-152881-k1hx1m61	194	8	present	present	ADJ
cord-152881-k1hx1m61	194	9	(	(	PUNCT
cord-152881-k1hx1m61	194	10	march	march	PROPN
cord-152881-k1hx1m61	194	11	27	27	NUM
cord-152881-k1hx1m61	194	12	,	,	PUNCT
cord-152881-k1hx1m61	194	13	2020	2020	NUM
cord-152881-k1hx1m61	194	14	)	)	PUNCT
cord-152881-k1hx1m61	194	15	is	be	AUX
cord-152881-k1hx1m61	194	16	very	very	ADV
cord-152881-k1hx1m61	194	17	high	high	ADJ
cord-152881-k1hx1m61	194	18	at	at	ADP
cord-152881-k1hx1m61	194	19	around	around	ADP
cord-152881-k1hx1m61	194	20	β	β	NOUN
cord-152881-k1hx1m61	194	21	=	=	NOUN
cord-152881-k1hx1m61	194	22	0.3	0.3	NUM
cord-152881-k1hx1m61	194	23	.	.	PUNCT
cord-152881-k1hx1m61	195	1	this	this	DET
cord-152881-k1hx1m61	195	2	number	number	NOUN
cord-152881-k1hx1m61	195	3	implies	imply	VERB
cord-152881-k1hx1m61	195	4	that	that	SCONJ
cord-152881-k1hx1m61	195	5	it	it	PRON
cord-152881-k1hx1m61	195	6	takes	take	VERB
cord-152881-k1hx1m61	195	7	only	only	ADV
cord-152881-k1hx1m61	195	8	1	1	NUM
cord-152881-k1hx1m61	195	9	/	/	SYM
cord-152881-k1hx1m61	196	1	β	β	NOUN
cord-152881-k1hx1m61	196	2	≈	≈	NOUN
cord-152881-k1hx1m61	196	3	3	3	NUM
cord-152881-k1hx1m61	196	4	days	day	NOUN
cord-152881-k1hx1m61	196	5	for	for	SCONJ
cord-152881-k1hx1m61	196	6	a	a	DET
cord-152881-k1hx1m61	196	7	patient	patient	NOUN
cord-152881-k1hx1m61	196	8	to	to	PART
cord-152881-k1hx1m61	196	9	infect	infect	VERB
cord-152881-k1hx1m61	196	10	another	another	DET
cord-152881-k1hx1m61	196	11	individual	individual	NOUN
cord-152881-k1hx1m61	196	12	.	.	PUNCT
cord-152881-k1hx1m61	197	1	since	since	SCONJ
cord-152881-k1hx1m61	197	2	it	it	PRON
cord-152881-k1hx1m61	197	3	takes	take	VERB
cord-152881-k1hx1m61	197	4	around	around	ADV
cord-152881-k1hx1m61	197	5	10	10	NUM
cord-152881-k1hx1m61	197	6	days	day	NOUN
cord-152881-k1hx1m61	197	7	to	to	PART
cord-152881-k1hx1m61	197	8	recover	recover	VERB
cord-152881-k1hx1m61	197	9	from	from	ADP
cord-152881-k1hx1m61	197	10	the	the	DET
cord-152881-k1hx1m61	197	11	illness	illness	NOUN
cord-152881-k1hx1m61	197	12	,	,	PUNCT
cord-152881-k1hx1m61	197	13	the	the	DET
cord-152881-k1hx1m61	197	14	number	number	NOUN
cord-152881-k1hx1m61	197	15	of	of	ADP
cord-152881-k1hx1m61	197	16	patients	patient	NOUN
cord-152881-k1hx1m61	197	17	will	will	AUX
cord-152881-k1hx1m61	197	18	grow	grow	VERB
cord-152881-k1hx1m61	197	19	exponentially	exponentially	ADV
cord-152881-k1hx1m61	197	20	and	and	CCONJ
cord-152881-k1hx1m61	197	21	may	may	AUX
cord-152881-k1hx1m61	197	22	overwhelm	overwhelm	VERB
cord-152881-k1hx1m61	197	23	the	the	DET
cord-152881-k1hx1m61	197	24	healthcare	healthcare	NOUN
cord-152881-k1hx1m61	197	25	system	system	NOUN
cord-152881-k1hx1m61	197	26	if	if	SCONJ
cord-152881-k1hx1m61	197	27	no	no	DET
cord-152881-k1hx1m61	197	28	actions	action	NOUN
cord-152881-k1hx1m61	197	29	are	be	AUX
cord-152881-k1hx1m61	197	30	taken	take	VERB
cord-152881-k1hx1m61	197	31	.	.	PUNCT
cord-152881-k1hx1m61	198	1	if	if	SCONJ
cord-152881-k1hx1m61	198	2	the	the	DET
cord-152881-k1hx1m61	198	3	current	current	ADJ
cord-152881-k1hx1m61	198	4	trend	trend	NOUN
cord-152881-k1hx1m61	198	5	continues	continue	VERB
cord-152881-k1hx1m61	198	6	,	,	PUNCT
cord-152881-k1hx1m61	198	7	the	the	DET
cord-152881-k1hx1m61	198	8	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	198	9	will	will	AUX
cord-152881-k1hx1m61	198	10	peak	peak	VERB
cord-152881-k1hx1m61	198	11	in	in	ADP
cord-152881-k1hx1m61	198	12	early	early	ADJ
cord-152881-k1hx1m61	198	13	may	may	PROPN
cord-152881-k1hx1m61	198	14	2020	2020	NUM
cord-152881-k1hx1m61	198	15	in	in	ADP
cord-152881-k1hx1m61	198	16	europe	europe	PROPN
cord-152881-k1hx1m61	198	17	and	and	CCONJ
cord-152881-k1hx1m61	198	18	north	north	PROPN
cord-152881-k1hx1m61	198	19	america	america	PROPN
cord-152881-k1hx1m61	198	20	,	,	PUNCT
cord-152881-k1hx1m61	198	21	at	at	ADP
cord-152881-k1hx1m61	198	22	which	which	DET
cord-152881-k1hx1m61	198	23	point	point	NOUN
cord-152881-k1hx1m61	198	24	around	around	ADV
cord-152881-k1hx1m61	198	25	30	30	NUM
cord-152881-k1hx1m61	198	26	percent	percent	NOUN
cord-152881-k1hx1m61	198	27	of	of	ADP
cord-152881-k1hx1m61	198	28	the	the	DET
cord-152881-k1hx1m61	198	29	population	population	NOUN
cord-152881-k1hx1m61	198	30	will	will	AUX
cord-152881-k1hx1m61	198	31	be	be	AUX
cord-152881-k1hx1m61	198	32	infected	infect	VERB
cord-152881-k1hx1m61	198	33	.	.	PUNCT
cord-152881-k1hx1m61	199	1	because	because	SCONJ
cord-152881-k1hx1m61	199	2	the	the	DET
cord-152881-k1hx1m61	199	3	recovery	recovery	NOUN
cord-152881-k1hx1m61	199	4	rate	rate	NOUN
cord-152881-k1hx1m61	199	5	γ	γ	NOUN
cord-152881-k1hx1m61	199	6	is	be	AUX
cord-152881-k1hx1m61	199	7	an	an	DET
cord-152881-k1hx1m61	199	8	uncontrollable	uncontrollable	ADJ
cord-152881-k1hx1m61	199	9	biological	biological	ADJ
cord-152881-k1hx1m61	199	10	parameter	parameter	NOUN
cord-152881-k1hx1m61	199	11	,	,	PUNCT
cord-152881-k1hx1m61	199	12	the	the	DET
cord-152881-k1hx1m61	199	13	only	only	ADJ
cord-152881-k1hx1m61	199	14	way	way	NOUN
cord-152881-k1hx1m61	199	15	to	to	PART
cord-152881-k1hx1m61	199	16	control	control	VERB
cord-152881-k1hx1m61	199	17	the	the	DET
cord-152881-k1hx1m61	199	18	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	199	19	is	be	AUX
cord-152881-k1hx1m61	199	20	to	to	PART
cord-152881-k1hx1m61	199	21	reduce	reduce	VERB
cord-152881-k1hx1m61	199	22	the	the	DET
cord-152881-k1hx1m61	199	23	transmission	transmission	NOUN
cord-152881-k1hx1m61	199	24	rate	rate	NOUN
cord-152881-k1hx1m61	199	25	β	β	NUM
cord-152881-k1hx1m61	199	26	,	,	PUNCT
cord-152881-k1hx1m61	199	27	perhaps	perhaps	ADV
cord-152881-k1hx1m61	199	28	by	by	ADP
cord-152881-k1hx1m61	199	29	restricting	restrict	VERB
cord-152881-k1hx1m61	199	30	travel	travel	NOUN
cord-152881-k1hx1m61	199	31	or	or	CCONJ
cord-152881-k1hx1m61	199	32	social	social	ADJ
cord-152881-k1hx1m61	199	33	distancing	distancing	NOUN
cord-152881-k1hx1m61	199	34	.	.	PUNCT
cord-152881-k1hx1m61	200	1	however	however	ADV
cord-152881-k1hx1m61	200	2	,	,	PUNCT
cord-152881-k1hx1m61	200	3	temporary	temporary	ADJ
cord-152881-k1hx1m61	200	4	measures	measure	NOUN
cord-152881-k1hx1m61	200	5	only	only	ADV
cord-152881-k1hx1m61	200	6	slows	slow	VERB
cord-152881-k1hx1m61	200	7	the	the	DET
cord-152881-k1hx1m61	200	8	onset	onset	NOUN
cord-152881-k1hx1m61	200	9	of	of	ADP
cord-152881-k1hx1m61	200	10	the	the	DET
cord-152881-k1hx1m61	200	11	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	200	12	but	but	CCONJ
cord-152881-k1hx1m61	200	13	has	have	VERB
cord-152881-k1hx1m61	200	14	no	no	DET
cord-152881-k1hx1m61	200	15	effect	effect	NOUN
cord-152881-k1hx1m61	200	16	on	on	ADP
cord-152881-k1hx1m61	200	17	the	the	DET
cord-152881-k1hx1m61	200	18	peak	peak	NOUN
cord-152881-k1hx1m61	200	19	because	because	SCONJ
cord-152881-k1hx1m61	200	20	the	the	DET
cord-152881-k1hx1m61	200	21	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	200	22	persists	persist	VERB
cord-152881-k1hx1m61	200	23	until	until	SCONJ
cord-152881-k1hx1m61	200	24	the	the	DET
cord-152881-k1hx1m61	200	25	population	population	NOUN
cord-152881-k1hx1m61	200	26	acquires	acquire	VERB
cord-152881-k1hx1m61	200	27	herd	herd	NOUN
cord-152881-k1hx1m61	200	28	immunity	immunity	NOUN
cord-152881-k1hx1m61	200	29	.	.	PUNCT
cord-152881-k1hx1m61	201	1	the	the	DET
cord-152881-k1hx1m61	201	2	optimal	optimal	ADJ
cord-152881-k1hx1m61	201	3	policy	policy	NOUN
cord-152881-k1hx1m61	201	4	that	that	PRON
cord-152881-k1hx1m61	201	5	minimizes	minimize	VERB
cord-152881-k1hx1m61	201	6	the	the	DET
cord-152881-k1hx1m61	201	7	peak	peak	NOUN
cord-152881-k1hx1m61	201	8	is	be	AUX
cord-152881-k1hx1m61	201	9	to	to	PART
cord-152881-k1hx1m61	201	10	wait	wait	VERB
cord-152881-k1hx1m61	201	11	to	to	PART
cord-152881-k1hx1m61	201	12	introduce	introduce	VERB
cord-152881-k1hx1m61	201	13	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	201	14	measures	measure	NOUN
cord-152881-k1hx1m61	201	15	until	until	SCONJ
cord-152881-k1hx1m61	201	16	a	a	DET
cord-152881-k1hx1m61	201	17	sufficient	sufficient	ADJ
cord-152881-k1hx1m61	201	18	fraction	fraction	NOUN
cord-152881-k1hx1m61	201	19	of	of	ADP
cord-152881-k1hx1m61	201	20	the	the	DET
cord-152881-k1hx1m61	201	21	population	population	NOUN
cord-152881-k1hx1m61	201	22	is	be	AUX
cord-152881-k1hx1m61	201	23	infected	infect	VERB
cord-152881-k1hx1m61	201	24	,	,	PUNCT
cord-152881-k1hx1m61	201	25	which	which	PRON
cord-152881-k1hx1m61	201	26	can	can	AUX
cord-152881-k1hx1m61	201	27	reduce	reduce	VERB
cord-152881-k1hx1m61	201	28	the	the	DET
cord-152881-k1hx1m61	201	29	peak	peak	NOUN
cord-152881-k1hx1m61	201	30	to	to	ADP
cord-152881-k1hx1m61	201	31	6.2	6.2	NUM
cord-152881-k1hx1m61	201	32	%	%	NOUN
cord-152881-k1hx1m61	201	33	.	.	PUNCT
cord-152881-k1hx1m61	202	1	policy	policy	NOUN
cord-152881-k1hx1m61	202	2	makers	maker	NOUN
cord-152881-k1hx1m61	202	3	in	in	ADP
cord-152881-k1hx1m61	202	4	affected	affected	ADJ
cord-152881-k1hx1m61	202	5	countries	country	NOUN
cord-152881-k1hx1m61	202	6	may	may	AUX
cord-152881-k1hx1m61	202	7	also	also	ADV
cord-152881-k1hx1m61	202	8	want	want	VERB
cord-152881-k1hx1m61	202	9	to	to	PART
cord-152881-k1hx1m61	202	10	look	look	VERB
cord-152881-k1hx1m61	202	11	at	at	ADP
cord-152881-k1hx1m61	202	12	measures	measure	NOUN
cord-152881-k1hx1m61	202	13	taken	take	VERB
cord-152881-k1hx1m61	202	14	in	in	ADP
cord-152881-k1hx1m61	202	15	china	china	PROPN
cord-152881-k1hx1m61	202	16	,	,	PUNCT
cord-152881-k1hx1m61	202	17	japan	japan	PROPN
cord-152881-k1hx1m61	202	18	,	,	PUNCT
cord-152881-k1hx1m61	202	19	and	and	CCONJ
cord-152881-k1hx1m61	202	20	korea	korea	PROPN
cord-152881-k1hx1m61	202	21	,	,	PUNCT
cord-152881-k1hx1m61	202	22	which	which	PRON
cord-152881-k1hx1m61	202	23	are	be	AUX
cord-152881-k1hx1m61	202	24	the	the	DET
cord-152881-k1hx1m61	202	25	countries	country	NOUN
cord-152881-k1hx1m61	202	26	relatively	relatively	ADV
cord-152881-k1hx1m61	202	27	successful	successful	ADJ
cord-152881-k1hx1m61	202	28	at	at	ADP
cord-152881-k1hx1m61	202	29	controlling	control	VERB
cord-152881-k1hx1m61	202	30	the	the	DET
cord-152881-k1hx1m61	202	31	spread	spread	NOUN
cord-152881-k1hx1m61	202	32	so	so	ADV
cord-152881-k1hx1m61	202	33	far	far	ADV
cord-152881-k1hx1m61	202	34	.	.	PUNCT
cord-152881-k1hx1m61	203	1	using	use	VERB
cord-152881-k1hx1m61	203	2	the	the	DET
cord-152881-k1hx1m61	203	3	estimated	estimate	VERB
cord-152881-k1hx1m61	203	4	transmission	transmission	NOUN
cord-152881-k1hx1m61	203	5	rates	rate	NOUN
cord-152881-k1hx1m61	203	6	,	,	PUNCT
cord-152881-k1hx1m61	203	7	i	i	PRON
cord-152881-k1hx1m61	203	8	have	have	AUX
cord-152881-k1hx1m61	203	9	solved	solve	VERB
cord-152881-k1hx1m61	203	10	a	a	DET
cord-152881-k1hx1m61	203	11	stylized	stylize	VERB
cord-152881-k1hx1m61	203	12	productionbased	productionbased	ADJ
cord-152881-k1hx1m61	203	13	asset	asset	NOUN
cord-152881-k1hx1m61	203	14	pricing	pricing	NOUN
cord-152881-k1hx1m61	203	15	model	model	NOUN
cord-152881-k1hx1m61	203	16	.	.	PUNCT
cord-152881-k1hx1m61	204	1	the	the	DET
cord-152881-k1hx1m61	204	2	model	model	NOUN
cord-152881-k1hx1m61	204	3	predicts	predict	VERB
cord-152881-k1hx1m61	204	4	that	that	SCONJ
cord-152881-k1hx1m61	204	5	the	the	DET
cord-152881-k1hx1m61	204	6	stock	stock	NOUN
cord-152881-k1hx1m61	204	7	price	price	NOUN
cord-152881-k1hx1m61	204	8	decreases	decrease	VERB
cord-152881-k1hx1m61	204	9	by	by	ADP
cord-152881-k1hx1m61	204	10	50	50	NUM
cord-152881-k1hx1m61	204	11	%	%	NOUN
cord-152881-k1hx1m61	204	12	during	during	ADP
cord-152881-k1hx1m61	204	13	the	the	DET
cord-152881-k1hx1m61	204	14	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	204	15	,	,	PUNCT
cord-152881-k1hx1m61	204	16	but	but	CCONJ
cord-152881-k1hx1m61	204	17	recovers	recover	VERB
cord-152881-k1hx1m61	204	18	quickly	quickly	ADV
cord-152881-k1hx1m61	204	19	afterwards	afterwards	ADV
cord-152881-k1hx1m61	204	20	because	because	SCONJ
cord-152881-k1hx1m61	204	21	the	the	DET
cord-152881-k1hx1m61	204	22	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	204	23	is	be	AUX
cord-152881-k1hx1m61	204	24	a	a	DET
cord-152881-k1hx1m61	204	25	short	short	ADV
cord-152881-k1hx1m61	204	26	-	-	PUNCT
cord-152881-k1hx1m61	204	27	lived	live	VERB
cord-152881-k1hx1m61	204	28	labor	labor	NOUN
cord-152881-k1hx1m61	204	29	supply	supply	NOUN
cord-152881-k1hx1m61	204	30	shock	shock	NOUN
cord-152881-k1hx1m61	204	31	.	.	PUNCT
cord-152881-k1hx1m61	205	1	under	under	ADP
cord-152881-k1hx1m61	205	2	the	the	DET
cord-152881-k1hx1m61	205	3	optimal	optimal	ADJ
cord-152881-k1hx1m61	205	4	policy	policy	NOUN
cord-152881-k1hx1m61	205	5	,	,	PUNCT
cord-152881-k1hx1m61	205	6	the	the	DET
cord-152881-k1hx1m61	205	7	stock	stock	NOUN
cord-152881-k1hx1m61	205	8	price	price	NOUN
cord-152881-k1hx1m61	205	9	exhibits	exhibit	VERB
cord-152881-k1hx1m61	205	10	a	a	DET
cord-152881-k1hx1m61	205	11	w	w	ADV
cord-152881-k1hx1m61	205	12	-	-	PUNCT
cord-152881-k1hx1m61	205	13	shaped	shape	VERB
cord-152881-k1hx1m61	205	14	pattern	pattern	NOUN
cord-152881-k1hx1m61	205	15	and	and	CCONJ
cord-152881-k1hx1m61	205	16	remains	remain	VERB
cord-152881-k1hx1m61	205	17	about	about	ADV
cord-152881-k1hx1m61	205	18	10	10	NUM
cord-152881-k1hx1m61	205	19	%	%	NOUN
cord-152881-k1hx1m61	205	20	undervalued	undervalue	VERB
cord-152881-k1hx1m61	205	21	than	than	ADP
cord-152881-k1hx1m61	205	22	the	the	DET
cord-152881-k1hx1m61	205	23	steady	steady	ADJ
cord-152881-k1hx1m61	205	24	state	state	NOUN
cord-152881-k1hx1m61	205	25	level	level	NOUN
cord-152881-k1hx1m61	205	26	for	for	ADP
cord-152881-k1hx1m61	205	27	half	half	DET
cord-152881-k1hx1m61	205	28	a	a	DET
cord-152881-k1hx1m61	205	29	year	year	NOUN
cord-152881-k1hx1m61	205	30	.	.	PUNCT
cord-152881-k1hx1m61	206	1	in	in	ADP
cord-152881-k1hx1m61	206	2	principle	principle	NOUN
cord-152881-k1hx1m61	206	3	,	,	PUNCT
cord-152881-k1hx1m61	206	4	solving	solve	VERB
cord-152881-k1hx1m61	206	5	the	the	DET
cord-152881-k1hx1m61	206	6	sir	sir	PROPN
cord-152881-k1hx1m61	206	7	model	model	NOUN
cord-152881-k1hx1m61	206	8	numerically	numerically	ADV
cord-152881-k1hx1m61	206	9	is	be	AUX
cord-152881-k1hx1m61	206	10	straightforward	straightforward	ADJ
cord-152881-k1hx1m61	206	11	using	use	VERB
cord-152881-k1hx1m61	206	12	the	the	DET
cord-152881-k1hx1m61	206	13	following	follow	VERB
cord-152881-k1hx1m61	206	14	algorithm	algorithm	NOUN
cord-152881-k1hx1m61	206	15	.	.	PUNCT
cord-152881-k1hx1m61	207	1	1	1	X
cord-152881-k1hx1m61	207	2	.	.	X
cord-152881-k1hx1m61	207	3	given	give	VERB
cord-152881-k1hx1m61	207	4	the	the	DET
cord-152881-k1hx1m61	207	5	parameters	parameter	NOUN
cord-152881-k1hx1m61	207	6	(	(	PUNCT
cord-152881-k1hx1m61	207	7	β	β	PROPN
cord-152881-k1hx1m61	207	8	,	,	PUNCT
cord-152881-k1hx1m61	207	9	γ	γ	NOUN
cord-152881-k1hx1m61	207	10	)	)	PUNCT
cord-152881-k1hx1m61	207	11	and	and	CCONJ
cord-152881-k1hx1m61	207	12	initial	initial	ADJ
cord-152881-k1hx1m61	207	13	condition	condition	NOUN
cord-152881-k1hx1m61	207	14	(	(	PUNCT
cord-152881-k1hx1m61	207	15	x	x	NOUN
cord-152881-k1hx1m61	207	16	0	0	NUM
cord-152881-k1hx1m61	207	17	,	,	PUNCT
cord-152881-k1hx1m61	207	18	y	y	PROPN
cord-152881-k1hx1m61	207	19	0	0	NUM
cord-152881-k1hx1m61	207	20	)	)	PUNCT
cord-152881-k1hx1m61	207	21	,	,	PUNCT
cord-152881-k1hx1m61	207	22	solve	solve	VERB
cord-152881-k1hx1m61	207	23	for	for	ADP
cord-152881-k1hx1m61	207	24	v	v	NOUN
cord-152881-k1hx1m61	207	25	*	*	PUNCT
cord-152881-k1hx1m61	207	26	as	as	ADP
cord-152881-k1hx1m61	207	27	the	the	DET
cord-152881-k1hx1m61	207	28	unique	unique	ADJ
cord-152881-k1hx1m61	207	29	solution	solution	NOUN
cord-152881-k1hx1m61	207	30	to	to	ADP
cord-152881-k1hx1m61	207	31	(	(	PUNCT
cord-152881-k1hx1m61	207	32	2.5	2.5	NUM
cord-152881-k1hx1m61	207	33	)	)	PUNCT
cord-152881-k1hx1m61	207	34	.	.	PUNCT
cord-152881-k1hx1m61	208	1	2	2	X
cord-152881-k1hx1m61	208	2	.	.	X
cord-152881-k1hx1m61	208	3	take	take	VERB
cord-152881-k1hx1m61	208	4	a	a	DET
cord-152881-k1hx1m61	208	5	grid	grid	NOUN
cord-152881-k1hx1m61	208	6	1	1	NUM
cord-152881-k1hx1m61	208	7	=	=	SYM
cord-152881-k1hx1m61	208	8	v	v	NOUN
cord-152881-k1hx1m61	208	9	0	0	NUM
cord-152881-k1hx1m61	208	10	>	>	PUNCT
cord-152881-k1hx1m61	208	11	v	v	SYM
cord-152881-k1hx1m61	208	12	1	1	NUM
cord-152881-k1hx1m61	208	13	>	>	SYM
cord-152881-k1hx1m61	208	14	v	v	NOUN
cord-152881-k1hx1m61	208	15	2	2	NUM
cord-152881-k1hx1m61	208	16	>	>	X
cord-152881-k1hx1m61	208	17	·	·	PUNCT
cord-152881-k1hx1m61	208	18	·	·	PUNCT
cord-152881-k1hx1m61	208	19	·	·	PUNCT
cord-152881-k1hx1m61	208	20	>	>	X
cord-152881-k1hx1m61	208	21	v	v	PROPN
cord-152881-k1hx1m61	208	22	n	n	NOUN
cord-152881-k1hx1m61	208	23	>	>	X
cord-152881-k1hx1m61	208	24	v	v	NOUN
cord-152881-k1hx1m61	208	25	*	*	PUNCT
cord-152881-k1hx1m61	208	26	.	.	PUNCT
cord-152881-k1hx1m61	209	1	for	for	ADP
cord-152881-k1hx1m61	209	2	each	each	PRON
cord-152881-k1hx1m61	209	3	n	n	NOUN
cord-152881-k1hx1m61	209	4	=	=	SYM
cord-152881-k1hx1m61	209	5	1	1	NUM
cord-152881-k1hx1m61	209	6	,	,	PUNCT
cord-152881-k1hx1m61	209	7	.	.	PUNCT
cord-152881-k1hx1m61	209	8	.	.	PUNCT
cord-152881-k1hx1m61	209	9	.	.	PUNCT
cord-152881-k1hx1m61	210	1	,	,	PUNCT
cord-152881-k1hx1m61	210	2	n	n	ADV
cord-152881-k1hx1m61	210	3	,	,	PUNCT
cord-152881-k1hx1m61	210	4	compute	compute	VERB
cord-152881-k1hx1m61	210	5	the	the	DET
cord-152881-k1hx1m61	210	6	integral	integral	ADJ
cord-152881-k1hx1m61	210	7	numerically	numerically	NOUN
cord-152881-k1hx1m61	210	8	.	.	PUNCT
cord-152881-k1hx1m61	211	1	3	3	X
cord-152881-k1hx1m61	211	2	.	.	X
cord-152881-k1hx1m61	211	3	define	define	VERB
cord-152881-k1hx1m61	211	4	t	t	PROPN
cord-152881-k1hx1m61	211	5	0	0	NUM
cord-152881-k1hx1m61	211	6	=	=	SYM
cord-152881-k1hx1m61	211	7	0	0	NUM
cord-152881-k1hx1m61	211	8	and	and	CCONJ
cord-152881-k1hx1m61	211	9	t	t	PROPN
cord-152881-k1hx1m61	211	10	n	n	NOUN
cord-152881-k1hx1m61	211	11	=	=	PROPN
cord-152881-k1hx1m61	211	12	n	n	NOUN
cord-152881-k1hx1m61	211	13	k=1	k=1	NOUN
cord-152881-k1hx1m61	211	14	i	i	PRON
cord-152881-k1hx1m61	211	15	n	n	NOUN
cord-152881-k1hx1m61	211	16	for	for	ADP
cord-152881-k1hx1m61	211	17	n	n	PRON
cord-152881-k1hx1m61	211	18	≥	≥	NOUN
cord-152881-k1hx1m61	211	19	1	1	NUM
cord-152881-k1hx1m61	211	20	.	.	PUNCT
cord-152881-k1hx1m61	212	1	compute	compute	PROPN
cord-152881-k1hx1m61	212	2	(	(	PUNCT
cord-152881-k1hx1m61	212	3	x	x	PROPN
cord-152881-k1hx1m61	212	4	n	n	PROPN
cord-152881-k1hx1m61	212	5	,	,	PUNCT
cord-152881-k1hx1m61	212	6	y	y	PROPN
cord-152881-k1hx1m61	212	7	n	n	PROPN
cord-152881-k1hx1m61	212	8	,	,	PUNCT
cord-152881-k1hx1m61	212	9	z	z	NOUN
cord-152881-k1hx1m61	212	10	n	n	NOUN
cord-152881-k1hx1m61	212	11	)	)	PUNCT
cord-152881-k1hx1m61	212	12	using	use	VERB
cord-152881-k1hx1m61	212	13	(	(	PUNCT
cord-152881-k1hx1m61	212	14	2.3	2.3	NUM
cord-152881-k1hx1m61	212	15	)	)	PUNCT
cord-152881-k1hx1m61	212	16	evaluated	evaluate	VERB
cord-152881-k1hx1m61	212	17	at	at	ADP
cord-152881-k1hx1m61	212	18	v	v	NOUN
cord-152881-k1hx1m61	212	19	=	=	SYM
cord-152881-k1hx1m61	212	20	v	v	NOUN
cord-152881-k1hx1m61	212	21	n	n	NOUN
cord-152881-k1hx1m61	212	22	.	.	PUNCT
cord-152881-k1hx1m61	213	1	then	then	ADV
cord-152881-k1hx1m61	213	2	{	{	PUNCT
cord-152881-k1hx1m61	213	3	t	t	PROPN
cord-152881-k1hx1m61	213	4	n	n	NOUN
cord-152881-k1hx1m61	213	5	,	,	PUNCT
cord-152881-k1hx1m61	213	6	(	(	PUNCT
cord-152881-k1hx1m61	213	7	x	x	PROPN
cord-152881-k1hx1m61	213	8	n	n	PROPN
cord-152881-k1hx1m61	213	9	,	,	PUNCT
cord-152881-k1hx1m61	213	10	y	y	PROPN
cord-152881-k1hx1m61	213	11	n	n	PROPN
cord-152881-k1hx1m61	213	12	,	,	PUNCT
cord-152881-k1hx1m61	213	13	z	z	NOUN
cord-152881-k1hx1m61	213	14	n	n	NOUN
cord-152881-k1hx1m61	213	15	)	)	PUNCT
cord-152881-k1hx1m61	213	16	}	}	PUNCT
cord-152881-k1hx1m61	213	17	n	n	ADV
cord-152881-k1hx1m61	213	18	n=0	n=0	PROPN
cord-152881-k1hx1m61	213	19	gives	give	VERB
cord-152881-k1hx1m61	213	20	the	the	DET
cord-152881-k1hx1m61	213	21	numerical	numerical	ADJ
cord-152881-k1hx1m61	213	22	solution	solution	NOUN
cord-152881-k1hx1m61	213	23	to	to	ADP
cord-152881-k1hx1m61	213	24	the	the	DET
cord-152881-k1hx1m61	213	25	sir	sir	PROPN
cord-152881-k1hx1m61	213	26	model	model	NOUN
cord-152881-k1hx1m61	213	27	.	.	PUNCT
cord-152881-k1hx1m61	214	1	although	although	SCONJ
cord-152881-k1hx1m61	214	2	the	the	DET
cord-152881-k1hx1m61	214	3	above	above	ADJ
cord-152881-k1hx1m61	214	4	algorithm	algorithm	NOUN
cord-152881-k1hx1m61	214	5	is	be	AUX
cord-152881-k1hx1m61	214	6	conceptually	conceptually	ADV
cord-152881-k1hx1m61	214	7	straightforward	straightforward	ADJ
cord-152881-k1hx1m61	214	8	,	,	PUNCT
cord-152881-k1hx1m61	214	9	there	there	PRON
cord-152881-k1hx1m61	214	10	are	be	VERB
cord-152881-k1hx1m61	214	11	two	two	NUM
cord-152881-k1hx1m61	214	12	potential	potential	ADJ
cord-152881-k1hx1m61	214	13	numerical	numerical	ADJ
cord-152881-k1hx1m61	214	14	issues	issue	NOUN
cord-152881-k1hx1m61	214	15	.	.	PUNCT
cord-152881-k1hx1m61	215	1	first	first	ADV
cord-152881-k1hx1m61	215	2	,	,	PUNCT
cord-152881-k1hx1m61	215	3	the	the	DET
cord-152881-k1hx1m61	215	4	integrand	integrand	NOUN
cord-152881-k1hx1m61	215	5	in	in	ADP
cord-152881-k1hx1m61	215	6	(	(	PUNCT
cord-152881-k1hx1m61	215	7	2.4	2.4	NUM
cord-152881-k1hx1m61	215	8	)	)	PUNCT
cord-152881-k1hx1m61	215	9	is	be	AUX
cord-152881-k1hx1m61	215	10	not	not	PART
cord-152881-k1hx1m61	215	11	well	well	ADV
cord-152881-k1hx1m61	215	12	-	-	PUNCT
cord-152881-k1hx1m61	215	13	behaved	behave	VERB
cord-152881-k1hx1m61	215	14	near	near	ADP
cord-152881-k1hx1m61	215	15	ξ	ξ	PROPN
cord-152881-k1hx1m61	215	16	=	=	SYM
cord-152881-k1hx1m61	215	17	1	1	NUM
cord-152881-k1hx1m61	215	18	.	.	PUNCT
cord-152881-k1hx1m61	216	1	in	in	ADP
cord-152881-k1hx1m61	216	2	fact	fact	NOUN
cord-152881-k1hx1m61	216	3	,	,	PUNCT
cord-152881-k1hx1m61	216	4	setting	set	VERB
cord-152881-k1hx1m61	216	5	ξ	ξ	PROPN
cord-152881-k1hx1m61	216	6	=	=	SYM
cord-152881-k1hx1m61	216	7	1	1	NUM
cord-152881-k1hx1m61	216	8	we	we	PRON
cord-152881-k1hx1m61	216	9	obtain	obtain	VERB
cord-152881-k1hx1m61	216	10	g(1	g(1	PROPN
cord-152881-k1hx1m61	216	11	)	)	PUNCT
cord-152881-k1hx1m61	216	12	=	=	SYM
cord-152881-k1hx1m61	216	13	1	1	NUM
cord-152881-k1hx1m61	216	14	/	/	SYM
cord-152881-k1hx1m61	216	15	βy	βy	NOUN
cord-152881-k1hx1m61	216	16	0	0	NUM
cord-152881-k1hx1m61	216	17	,	,	PUNCT
cord-152881-k1hx1m61	216	18	which	which	PRON
cord-152881-k1hx1m61	216	19	is	be	AUX
cord-152881-k1hx1m61	216	20	typically	typically	ADV
cord-152881-k1hx1m61	216	21	a	a	DET
cord-152881-k1hx1m61	216	22	very	very	ADV
cord-152881-k1hx1m61	216	23	large	large	ADJ
cord-152881-k1hx1m61	216	24	number	number	NOUN
cord-152881-k1hx1m61	216	25	since	since	SCONJ
cord-152881-k1hx1m61	216	26	y	y	PROPN
cord-152881-k1hx1m61	216	27	0	0	NUM
cord-152881-k1hx1m61	216	28	(	(	PUNCT
cord-152881-k1hx1m61	216	29	the	the	DET
cord-152881-k1hx1m61	216	30	fraction	fraction	NOUN
cord-152881-k1hx1m61	216	31	of	of	ADP
cord-152881-k1hx1m61	216	32	infected	infect	VERB
cord-152881-k1hx1m61	216	33	at	at	ADP
cord-152881-k1hx1m61	216	34	t	t	PROPN
cord-152881-k1hx1m61	216	35	=	=	NOUN
cord-152881-k1hx1m61	216	36	0	0	NUM
cord-152881-k1hx1m61	216	37	)	)	PUNCT
cord-152881-k1hx1m61	216	38	is	be	AUX
cord-152881-k1hx1m61	216	39	typically	typically	ADV
cord-152881-k1hx1m61	216	40	small	small	ADJ
cord-152881-k1hx1m61	216	41	,	,	PUNCT
cord-152881-k1hx1m61	216	42	say	say	VERB
cord-152881-k1hx1m61	216	43	of	of	ADP
cord-152881-k1hx1m61	216	44	the	the	DET
cord-152881-k1hx1m61	216	45	order	order	NOUN
cord-152881-k1hx1m61	216	46	10	10	NUM
cord-152881-k1hx1m61	216	47	−6	−6	NUM
cord-152881-k1hx1m61	216	48	.	.	PUNCT
cord-152881-k1hx1m61	217	1	this	this	PRON
cord-152881-k1hx1m61	217	2	makes	make	VERB
cord-152881-k1hx1m61	217	3	the	the	DET
cord-152881-k1hx1m61	217	4	numerical	numerical	ADJ
cord-152881-k1hx1m61	217	5	integral	integral	PROPN
cord-152881-k1hx1m61	217	6	i	i	PROPN
cord-152881-k1hx1m61	217	7	n	n	ADV
cord-152881-k1hx1m61	217	8	in	in	ADP
cord-152881-k1hx1m61	217	9	(	(	PUNCT
cord-152881-k1hx1m61	217	10	a.1	a.1	X
cord-152881-k1hx1m61	217	11	)	)	PUNCT
cord-152881-k1hx1m61	217	12	inaccurate	inaccurate	ADJ
cord-152881-k1hx1m61	217	13	for	for	ADP
cord-152881-k1hx1m61	217	14	small	small	ADJ
cord-152881-k1hx1m61	217	15	n.	n.	PROPN
cord-152881-k1hx1m61	217	16	second	second	NOUN
cord-152881-k1hx1m61	217	17	,	,	PUNCT
cord-152881-k1hx1m61	217	18	for	for	ADP
cord-152881-k1hx1m61	217	19	applications	application	NOUN
cord-152881-k1hx1m61	217	20	we	we	PRON
cord-152881-k1hx1m61	217	21	would	would	AUX
cord-152881-k1hx1m61	217	22	like	like	VERB
cord-152881-k1hx1m61	217	23	the	the	DET
cord-152881-k1hx1m61	217	24	dates	date	NOUN
cord-152881-k1hx1m61	217	25	{	{	PUNCT
cord-152881-k1hx1m61	217	26	t	t	PROPN
cord-152881-k1hx1m61	217	27	n	n	NOUN
cord-152881-k1hx1m61	217	28	}	}	PUNCT
cord-152881-k1hx1m61	217	29	n	n	ADV
cord-152881-k1hx1m61	217	30	n=0	n=0	ADJ
cord-152881-k1hx1m61	217	31	to	to	PART
cord-152881-k1hx1m61	217	32	be	be	AUX
cord-152881-k1hx1m61	217	33	well	well	ADV
cord-152881-k1hx1m61	217	34	-	-	PUNCT
cord-152881-k1hx1m61	217	35	behaved	behave	VERB
cord-152881-k1hx1m61	217	36	(	(	PUNCT
cord-152881-k1hx1m61	217	37	say	say	VERB
cord-152881-k1hx1m61	217	38	approximately	approximately	ADV
cord-152881-k1hx1m61	217	39	evenly	evenly	ADV
cord-152881-k1hx1m61	217	40	spaced	space	VERB
cord-152881-k1hx1m61	217	41	)	)	PUNCT
cord-152881-k1hx1m61	217	42	,	,	PUNCT
cord-152881-k1hx1m61	217	43	which	which	PRON
cord-152881-k1hx1m61	217	44	requires	require	VERB
cord-152881-k1hx1m61	217	45	an	an	DET
cord-152881-k1hx1m61	217	46	appropriate	appropriate	ADJ
cord-152881-k1hx1m61	217	47	choice	choice	NOUN
cord-152881-k1hx1m61	217	48	of	of	ADP
cord-152881-k1hx1m61	217	49	the	the	DET
cord-152881-k1hx1m61	217	50	grid	grid	NOUN
cord-152881-k1hx1m61	217	51	{	{	PUNCT
cord-152881-k1hx1m61	217	52	v	v	NOUN
cord-152881-k1hx1m61	217	53	n	n	NOUN
cord-152881-k1hx1m61	217	54	}	}	PUNCT
cord-152881-k1hx1m61	217	55	n	n	ADV
cord-152881-k1hx1m61	217	56	n=0	n=0	ADV
cord-152881-k1hx1m61	217	57	.	.	PUNCT
cord-152881-k1hx1m61	218	1	to	to	PART
cord-152881-k1hx1m61	218	2	deal	deal	VERB
cord-152881-k1hx1m61	218	3	with	with	ADP
cord-152881-k1hx1m61	218	4	the	the	DET
cord-152881-k1hx1m61	218	5	first	first	ADJ
cord-152881-k1hx1m61	218	6	issue	issue	NOUN
cord-152881-k1hx1m61	218	7	,	,	PUNCT
cord-152881-k1hx1m61	218	8	let	let	VERB
cord-152881-k1hx1m61	218	9	us	we	PRON
cord-152881-k1hx1m61	218	10	express	express	VERB
cord-152881-k1hx1m61	218	11	g	g	PROPN
cord-152881-k1hx1m61	218	12	as	as	ADP
cord-152881-k1hx1m61	218	13	g	g	PROPN
cord-152881-k1hx1m61	218	14	=	=	X
cord-152881-k1hx1m61	218	15	h	h	NOUN
cord-152881-k1hx1m61	218	16	1	1	NUM
cord-152881-k1hx1m61	218	17	+	+	NUM
cord-152881-k1hx1m61	218	18	h	h	NOUN
cord-152881-k1hx1m61	218	19	2	2	NUM
cord-152881-k1hx1m61	218	20	,	,	PUNCT
cord-152881-k1hx1m61	218	21	where	where	SCONJ
cord-152881-k1hx1m61	218	22	h	h	PROPN
cord-152881-k1hx1m61	218	23	1	1	NUM
cord-152881-k1hx1m61	218	24	has	have	VERB
cord-152881-k1hx1m61	218	25	a	a	DET
cord-152881-k1hx1m61	218	26	closed	closed	ADJ
cord-152881-k1hx1m61	218	27	-	-	PUNCT
cord-152881-k1hx1m61	218	28	form	form	NOUN
cord-152881-k1hx1m61	218	29	primitive	primitive	ADJ
cord-152881-k1hx1m61	218	30	function	function	NOUN
cord-152881-k1hx1m61	218	31	and	and	CCONJ
cord-152881-k1hx1m61	218	32	h	h	NOUN
cord-152881-k1hx1m61	218	33	2	2	NUM
cord-152881-k1hx1m61	218	34	is	be	AUX
cord-152881-k1hx1m61	218	35	well	well	ADV
cord-152881-k1hx1m61	218	36	-	-	PUNCT
cord-152881-k1hx1m61	218	37	behaved	behave	VERB
cord-152881-k1hx1m61	218	38	near	near	ADP
cord-152881-k1hx1m61	218	39	ξ	ξ	PROPN
cord-152881-k1hx1m61	218	40	=	=	SYM
cord-152881-k1hx1m61	218	41	1	1	NUM
cord-152881-k1hx1m61	218	42	.	.	PUNCT
cord-152881-k1hx1m61	219	1	since	since	SCONJ
cord-152881-k1hx1m61	219	2	log	log	PROPN
cord-152881-k1hx1m61	219	3	ξ	ξ	PROPN
cord-152881-k1hx1m61	219	4	≈	≈	PROPN
cord-152881-k1hx1m61	219	5	ξ	ξ	PROPN
cord-152881-k1hx1m61	219	6	−	−	PROPN
cord-152881-k1hx1m61	219	7	1	1	NUM
cord-152881-k1hx1m61	219	8	near	near	ADP
cord-152881-k1hx1m61	219	9	ξ	ξ	PROPN
cord-152881-k1hx1m61	219	10	=	=	PROPN
cord-152881-k1hx1m61	219	11	1	1	NUM
cord-152881-k1hx1m61	219	12	,	,	PUNCT
cord-152881-k1hx1m61	219	13	a	a	DET
cord-152881-k1hx1m61	219	14	natural	natural	ADJ
cord-152881-k1hx1m61	219	15	candidate	candidate	NOUN
cord-152881-k1hx1m61	219	16	is	be	AUX
cord-152881-k1hx1m61	219	17	h	h	NUM
cord-152881-k1hx1m61	219	18	1	1	NUM
cord-152881-k1hx1m61	219	19	(	(	PUNCT
cord-152881-k1hx1m61	219	20	ξ	ξ	PROPN
cord-152881-k1hx1m61	219	21	)	)	PUNCT
cord-152881-k1hx1m61	219	22	:	:	PUNCT
cord-152881-k1hx1m61	219	23	=	=	SYM
cord-152881-k1hx1m61	219	24	1	1	NUM
cord-152881-k1hx1m61	219	25	ξ(βx	ξ(βx	NOUN
cord-152881-k1hx1m61	219	26	0	0	NUM
cord-152881-k1hx1m61	219	27	(	(	PUNCT
cord-152881-k1hx1m61	219	28	1	1	NUM
cord-152881-k1hx1m61	219	29	−	−	PROPN
cord-152881-k1hx1m61	219	30	ξ	ξ	NUM
cord-152881-k1hx1m61	219	31	)	)	PUNCT
cord-152881-k1hx1m61	219	32	+	+	NUM
cord-152881-k1hx1m61	219	33	βy	βy	PROPN
cord-152881-k1hx1m61	219	34	0	0	NUM
cord-152881-k1hx1m61	219	35	+	+	NOUN
cord-152881-k1hx1m61	219	36	γ(ξ	γ(ξ	NOUN
cord-152881-k1hx1m61	219	37	−	−	SYM
cord-152881-k1hx1m61	219	38	1	1	NUM
cord-152881-k1hx1m61	219	39	)	)	PUNCT
cord-152881-k1hx1m61	219	40	)	)	PUNCT
cord-152881-k1hx1m61	220	1	=	=	SYM
cord-152881-k1hx1m61	220	2	1	1	NUM
cord-152881-k1hx1m61	220	3	β(x0+y0)−γ	β(x0+y0)−γ	SYM
cord-152881-k1hx1m61	220	4	1	1	NUM
cord-152881-k1hx1m61	220	5	ξ	ξ	X
cord-152881-k1hx1m61	220	6	+	+	CCONJ
cord-152881-k1hx1m61	220	7	βx0−γ	βx0−γ	VERB
cord-152881-k1hx1m61	220	8	(	(	PUNCT
cord-152881-k1hx1m61	220	9	βx0−γ)(1−ξ)+βy0	βx0−γ)(1−ξ)+βy0	X
cord-152881-k1hx1m61	220	10	,	,	PUNCT
cord-152881-k1hx1m61	220	11	(	(	PUNCT
cord-152881-k1hx1m61	220	12	β(x	β(x	X
cord-152881-k1hx1m61	220	13	0	0	NUM
cord-152881-k1hx1m61	220	14	+	+	NUM
cord-152881-k1hx1m61	220	15	y	y	NOUN
cord-152881-k1hx1m61	220	16	0	0	PUNCT
cord-152881-k1hx1m61	220	17	)	)	PUNCT
cord-152881-k1hx1m61	221	1	=	=	NOUN
cord-152881-k1hx1m61	221	2	γ	γ	NOUN
cord-152881-k1hx1m61	221	3	)	)	PUNCT
cord-152881-k1hx1m61	221	4	1	1	NUM
cord-152881-k1hx1m61	221	5	βy0ξ	βy0ξ	SYM
cord-152881-k1hx1m61	221	6	2	2	NUM
cord-152881-k1hx1m61	221	7	.	.	PUNCT
cord-152881-k1hx1m61	221	8	(	(	PUNCT
cord-152881-k1hx1m61	221	9	β(x	β(x	X
cord-152881-k1hx1m61	221	10	0	0	NUM
cord-152881-k1hx1m61	221	11	+	+	NUM
cord-152881-k1hx1m61	221	12	y	y	NOUN
cord-152881-k1hx1m61	221	13	0	0	PUNCT
cord-152881-k1hx1m61	221	14	)	)	PUNCT
cord-152881-k1hx1m61	222	1	=	=	NOUN
cord-152881-k1hx1m61	222	2	γ	γ	NOUN
cord-152881-k1hx1m61	222	3	)	)	PUNCT
cord-152881-k1hx1m61	223	1	then	then	ADV
cord-152881-k1hx1m61	223	2	by	by	ADP
cord-152881-k1hx1m61	223	3	simple	simple	ADJ
cord-152881-k1hx1m61	223	4	algebra	algebra	NOUN
cord-152881-k1hx1m61	223	5	,	,	PUNCT
cord-152881-k1hx1m61	223	6	(	(	PUNCT
cord-152881-k1hx1m61	223	7	2.4	2.4	NUM
cord-152881-k1hx1m61	223	8	)	)	PUNCT
cord-152881-k1hx1m61	223	9	becomes	become	VERB
cord-152881-k1hx1m61	223	10	where	where	SCONJ
cord-152881-k1hx1m61	223	11	h	h	PROPN
cord-152881-k1hx1m61	223	12	2	2	NUM
cord-152881-k1hx1m61	223	13	(	(	PUNCT
cord-152881-k1hx1m61	223	14	ξ	ξ	PROPN
cord-152881-k1hx1m61	223	15	)	)	PUNCT
cord-152881-k1hx1m61	223	16	:	:	PUNCT
cord-152881-k1hx1m61	223	17	=	=	SYM
cord-152881-k1hx1m61	223	18	1	1	NUM
cord-152881-k1hx1m61	223	19	ξ(βx	ξ(βx	NOUN
cord-152881-k1hx1m61	223	20	0	0	NUM
cord-152881-k1hx1m61	223	21	(	(	PUNCT
cord-152881-k1hx1m61	223	22	1	1	NUM
cord-152881-k1hx1m61	223	23	−	−	PROPN
cord-152881-k1hx1m61	223	24	ξ	ξ	NUM
cord-152881-k1hx1m61	223	25	)	)	PUNCT
cord-152881-k1hx1m61	223	26	+	+	NUM
cord-152881-k1hx1m61	223	27	βy	βy	PROPN
cord-152881-k1hx1m61	223	28	0	0	NUM
cord-152881-k1hx1m61	224	1	+	+	CCONJ
cord-152881-k1hx1m61	225	1	γ	γ	NOUN
cord-152881-k1hx1m61	225	2	log	log	VERB
cord-152881-k1hx1m61	225	3	ξ	ξ	PROPN
cord-152881-k1hx1m61	225	4	)	)	PUNCT
cord-152881-k1hx1m61	225	5	−	−	NOUN
cord-152881-k1hx1m61	225	6	1	1	NUM
cord-152881-k1hx1m61	225	7	ξ((βx	ξ((βx	X
cord-152881-k1hx1m61	225	8	0	0	NUM
cord-152881-k1hx1m61	225	9	−	−	PUNCT
cord-152881-k1hx1m61	225	10	γ)(1	γ)(1	PUNCT
cord-152881-k1hx1m61	225	11	−	−	X
cord-152881-k1hx1m61	225	12	ξ	ξ	X
cord-152881-k1hx1m61	225	13	)	)	PUNCT
cord-152881-k1hx1m61	225	14	+	+	NUM
cord-152881-k1hx1m61	225	15	βy	βy	PROPN
cord-152881-k1hx1m61	225	16	0	0	NUM
cord-152881-k1hx1m61	225	17	)	)	PUNCT
cord-152881-k1hx1m61	225	18	.	.	PUNCT
cord-152881-k1hx1m61	226	1	because	because	SCONJ
cord-152881-k1hx1m61	226	2	h	h	PROPN
cord-152881-k1hx1m61	226	3	2	2	NUM
cord-152881-k1hx1m61	226	4	(	(	PUNCT
cord-152881-k1hx1m61	226	5	ξ	ξ	PROPN
cord-152881-k1hx1m61	226	6	)	)	PUNCT
cord-152881-k1hx1m61	226	7	is	be	AUX
cord-152881-k1hx1m61	226	8	approximately	approximately	ADV
cord-152881-k1hx1m61	226	9	0	0	NUM
cord-152881-k1hx1m61	226	10	to	to	ADP
cord-152881-k1hx1m61	226	11	the	the	DET
cord-152881-k1hx1m61	226	12	first	first	ADJ
cord-152881-k1hx1m61	226	13	order	order	NOUN
cord-152881-k1hx1m61	226	14	around	around	ADP
cord-152881-k1hx1m61	226	15	ξ	ξ	PROPN
cord-152881-k1hx1m61	226	16	=	=	PROPN
cord-152881-k1hx1m61	226	17	1	1	NUM
cord-152881-k1hx1m61	226	18	,	,	PUNCT
cord-152881-k1hx1m61	226	19	we	we	PRON
cord-152881-k1hx1m61	226	20	can	can	AUX
cord-152881-k1hx1m61	226	21	calculate	calculate	VERB
cord-152881-k1hx1m61	226	22	the	the	DET
cord-152881-k1hx1m61	226	23	numerical	numerical	ADJ
cord-152881-k1hx1m61	226	24	integrals	integral	NOUN
cord-152881-k1hx1m61	226	25	in	in	ADP
cord-152881-k1hx1m61	226	26	(	(	PUNCT
cord-152881-k1hx1m61	226	27	a.1	a.1	NUM
cord-152881-k1hx1m61	226	28	)	)	PUNCT
cord-152881-k1hx1m61	226	29	accurately	accurately	ADV
cord-152881-k1hx1m61	226	30	.	.	PUNCT
cord-152881-k1hx1m61	227	1	to	to	PART
cord-152881-k1hx1m61	227	2	deal	deal	VERB
cord-152881-k1hx1m61	227	3	with	with	ADP
cord-152881-k1hx1m61	227	4	the	the	DET
cord-152881-k1hx1m61	227	5	second	second	ADJ
cord-152881-k1hx1m61	227	6	issue	issue	NOUN
cord-152881-k1hx1m61	227	7	,	,	PUNCT
cord-152881-k1hx1m61	227	8	consider	consider	VERB
cord-152881-k1hx1m61	227	9	the	the	DET
cord-152881-k1hx1m61	227	10	sir	sir	NOUN
cord-152881-k1hx1m61	227	11	model	model	NOUN
cord-152881-k1hx1m61	227	12	(	(	PUNCT
cord-152881-k1hx1m61	227	13	2.2	2.2	NUM
cord-152881-k1hx1m61	227	14	)	)	PUNCT
cord-152881-k1hx1m61	227	15	with	with	ADP
cord-152881-k1hx1m61	227	16	γ	γ	PROPN
cord-152881-k1hx1m61	227	17	=	=	NOUN
cord-152881-k1hx1m61	227	18	0	0	NUM
cord-152881-k1hx1m61	227	19	.	.	PUNCT
cord-152881-k1hx1m61	228	1	then	then	ADV
cord-152881-k1hx1m61	228	2	(	(	PUNCT
cord-152881-k1hx1m61	228	3	2.2a	2.2a	NUM
cord-152881-k1hx1m61	228	4	)	)	PUNCT
cord-152881-k1hx1m61	228	5	becomesẋ	becomesẋ	NOUN
cord-152881-k1hx1m61	228	6	=	=	NOUN
cord-152881-k1hx1m61	228	7	−βx(1	−βx(1	NOUN
cord-152881-k1hx1m61	228	8	−	−	PROPN
cord-152881-k1hx1m61	228	9	x	x	SYM
cord-152881-k1hx1m61	228	10	)	)	PUNCT
cord-152881-k1hx1m61	228	11	,	,	PUNCT
cord-152881-k1hx1m61	228	12	and	and	CCONJ
cord-152881-k1hx1m61	228	13	by	by	ADP
cord-152881-k1hx1m61	228	14	separation	separation	NOUN
cord-152881-k1hx1m61	228	15	of	of	ADP
cord-152881-k1hx1m61	228	16	variables	variable	NOUN
cord-152881-k1hx1m61	228	17	we	we	PRON
cord-152881-k1hx1m61	228	18	obtain	obtain	VERB
cord-152881-k1hx1m61	228	19	the	the	DET
cord-152881-k1hx1m61	228	20	analytical	analytical	ADJ
cord-152881-k1hx1m61	228	21	solution	solution	NOUN
cord-152881-k1hx1m61	228	22	x(t	x(t	PROPN
cord-152881-k1hx1m61	228	23	)	)	PUNCT
cord-152881-k1hx1m61	229	1	=	=	PROPN
cord-152881-k1hx1m61	229	2	x	x	PUNCT
cord-152881-k1hx1m61	229	3	0	0	PUNCT
cord-152881-k1hx1m61	229	4	x	x	PUNCT
cord-152881-k1hx1m61	229	5	0	0	PUNCT
cord-152881-k1hx1m61	230	1	+	+	NUM
cord-152881-k1hx1m61	230	2	(	(	PUNCT
cord-152881-k1hx1m61	230	3	1	1	NUM
cord-152881-k1hx1m61	230	4	−	−	PROPN
cord-152881-k1hx1m61	230	5	x	x	SYM
cord-152881-k1hx1m61	230	6	0	0	PUNCT
cord-152881-k1hx1m61	230	7	)	)	PUNCT
cord-152881-k1hx1m61	231	1	e	e	NOUN
cord-152881-k1hx1m61	231	2	βt	βt	NOUN
cord-152881-k1hx1m61	231	3	.	.	PUNCT
cord-152881-k1hx1m61	232	1	using	use	VERB
cord-152881-k1hx1m61	232	2	(	(	PUNCT
cord-152881-k1hx1m61	232	3	2.3a	2.3a	NUM
cord-152881-k1hx1m61	232	4	)	)	PUNCT
cord-152881-k1hx1m61	232	5	,	,	PUNCT
cord-152881-k1hx1m61	232	6	for	for	ADP
cord-152881-k1hx1m61	232	7	the	the	DET
cord-152881-k1hx1m61	232	8	case	case	NOUN
cord-152881-k1hx1m61	232	9	γ	γ	PROPN
cord-152881-k1hx1m61	232	10	=	=	NOUN
cord-152881-k1hx1m61	232	11	0	0	NUM
cord-152881-k1hx1m61	232	12	,	,	PUNCT
cord-152881-k1hx1m61	232	13	time	time	NOUN
cord-152881-k1hx1m61	232	14	t	t	PROPN
cord-152881-k1hx1m61	232	15	and	and	CCONJ
cord-152881-k1hx1m61	232	16	parameter	parameter	NOUN
cord-152881-k1hx1m61	232	17	v	v	PROPN
cord-152881-k1hx1m61	232	18	are	be	AUX
cord-152881-k1hx1m61	232	19	related	relate	VERB
cord-152881-k1hx1m61	232	20	as	as	ADP
cord-152881-k1hx1m61	232	21	v	v	NOUN
cord-152881-k1hx1m61	232	22	=	=	SYM
cord-152881-k1hx1m61	232	23	1	1	NUM
cord-152881-k1hx1m61	232	24	finally	finally	ADV
cord-152881-k1hx1m61	232	25	,	,	PUNCT
cord-152881-k1hx1m61	232	26	define	define	VERB
cord-152881-k1hx1m61	232	27	v	v	ADP
cord-152881-k1hx1m61	232	28	n	n	SYM
cord-152881-k1hx1m61	232	29	=	=	NOUN
cord-152881-k1hx1m61	232	30	1	1	NUM
cord-152881-k1hx1m61	232	31	x	x	SYM
cord-152881-k1hx1m61	232	32	0	0	NUM
cord-152881-k1hx1m61	232	33	+	+	NUM
cord-152881-k1hx1m61	232	34	(	(	PUNCT
cord-152881-k1hx1m61	232	35	1	1	NUM
cord-152881-k1hx1m61	232	36	−	−	PROPN
cord-152881-k1hx1m61	232	37	x	x	SYM
cord-152881-k1hx1m61	232	38	0	0	PUNCT
cord-152881-k1hx1m61	232	39	)	)	PUNCT
cord-152881-k1hx1m61	232	40	e	e	NOUN
cord-152881-k1hx1m61	232	41	βt	βt	NOUN
cord-152881-k1hx1m61	232	42	*	*	PUNCT
cord-152881-k1hx1m61	232	43	n	n	PUNCT
cord-152881-k1hx1m61	232	44	/	/	SYM
cord-152881-k1hx1m61	232	45	n	n	NOUN
cord-152881-k1hx1m61	232	46	.	.	PUNCT
cord-152881-k1hx1m61	233	1	figure	figure	VERB
cord-152881-k1hx1m61	233	2	5	5	NUM
cord-152881-k1hx1m61	233	3	shows	show	VERB
cord-152881-k1hx1m61	233	4	the	the	DET
cord-152881-k1hx1m61	233	5	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	233	6	of	of	ADP
cord-152881-k1hx1m61	233	7	sir	sir	PROPN
cord-152881-k1hx1m61	233	8	model	model	NOUN
cord-152881-k1hx1m61	233	9	when	when	SCONJ
cord-152881-k1hx1m61	233	10	(	(	PUNCT
cord-152881-k1hx1m61	233	11	β	β	NOUN
cord-152881-k1hx1m61	233	12	,	,	PUNCT
cord-152881-k1hx1m61	233	13	γ	γ	NOUN
cord-152881-k1hx1m61	233	14	)	)	PUNCT
cord-152881-k1hx1m61	233	15	=	=	NOUN
cord-152881-k1hx1m61	233	16	(	(	PUNCT
cord-152881-k1hx1m61	233	17	0.2	0.2	NUM
cord-152881-k1hx1m61	233	18	,	,	PUNCT
cord-152881-k1hx1m61	233	19	0.1	0.1	NUM
cord-152881-k1hx1m61	233	20	)	)	PUNCT
cord-152881-k1hx1m61	233	21	,	,	PUNCT
cord-152881-k1hx1m61	233	22	y	y	PROPN
cord-152881-k1hx1m61	233	23	0	0	NUM
cord-152881-k1hx1m61	234	1	=	=	SYM
cord-152881-k1hx1m61	234	2	10	10	NUM
cord-152881-k1hx1m61	234	3	−6	−6	NUM
cord-152881-k1hx1m61	234	4	,	,	PUNCT
cord-152881-k1hx1m61	234	5	10	10	NUM
cord-152881-k1hx1m61	234	6	−5	−5	NOUN
cord-152881-k1hx1m61	234	7	,	,	PUNCT
cord-152881-k1hx1m61	234	8	10	10	NUM
cord-152881-k1hx1m61	234	9	−4	−4	ADJ
cord-152881-k1hx1m61	234	10	,	,	PUNCT
cord-152881-k1hx1m61	234	11	and	and	CCONJ
cord-152881-k1hx1m61	234	12	z	z	X
cord-152881-k1hx1m61	234	13	0	0	NUM
cord-152881-k1hx1m61	234	14	=	=	SYM
cord-152881-k1hx1m61	234	15	0	0	NUM
cord-152881-k1hx1m61	234	16	.	.	PUNCT
cord-152881-k1hx1m61	235	1	for	for	ADP
cord-152881-k1hx1m61	235	2	this	this	DET
cord-152881-k1hx1m61	235	3	example	example	NOUN
cord-152881-k1hx1m61	235	4	,	,	PUNCT
cord-152881-k1hx1m61	235	5	1	1	NUM
cord-152881-k1hx1m61	235	6	−	−	PROPN
cord-152881-k1hx1m61	235	7	v	v	NOUN
cord-152881-k1hx1m61	235	8	*	*	PUNCT
cord-152881-k1hx1m61	236	1	=	=	NOUN
cord-152881-k1hx1m61	236	2	80.0	80.0	NUM
cord-152881-k1hx1m61	236	3	%	%	NOUN
cord-152881-k1hx1m61	236	4	of	of	ADP
cord-152881-k1hx1m61	236	5	the	the	DET
cord-152881-k1hx1m61	236	6	population	population	NOUN
cord-152881-k1hx1m61	236	7	is	be	AUX
cord-152881-k1hx1m61	236	8	eventually	eventually	ADV
cord-152881-k1hx1m61	236	9	infected	infect	VERB
cord-152881-k1hx1m61	236	10	,	,	PUNCT
cord-152881-k1hx1m61	236	11	and	and	CCONJ
cord-152881-k1hx1m61	236	12	y	y	PROPN
cord-152881-k1hx1m61	236	13	max	max	PROPN
cord-152881-k1hx1m61	236	14	=	=	NOUN
cord-152881-k1hx1m61	236	15	15.4	15.4	NUM
cord-152881-k1hx1m61	236	16	%	%	NOUN
cord-152881-k1hx1m61	236	17	of	of	ADP
cord-152881-k1hx1m61	236	18	the	the	DET
cord-152881-k1hx1m61	236	19	population	population	NOUN
cord-152881-k1hx1m61	236	20	is	be	AUX
cord-152881-k1hx1m61	236	21	infected	infect	VERB
cord-152881-k1hx1m61	236	22	at	at	ADP
cord-152881-k1hx1m61	236	23	the	the	DET
cord-152881-k1hx1m61	236	24	peak	peak	NOUN
cord-152881-k1hx1m61	236	25	of	of	ADP
cord-152881-k1hx1m61	236	26	the	the	DET
cord-152881-k1hx1m61	236	27	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	236	28	.	.	PUNCT
cord-152881-k1hx1m61	237	1	the	the	DET
cord-152881-k1hx1m61	237	2	initial	initial	ADJ
cord-152881-k1hx1m61	237	3	condition	condition	NOUN
cord-152881-k1hx1m61	237	4	(	(	PUNCT
cord-152881-k1hx1m61	237	5	y	y	PROPN
cord-152881-k1hx1m61	237	6	0	0	NUM
cord-152881-k1hx1m61	237	7	)	)	PUNCT
cord-152881-k1hx1m61	237	8	affects	affect	VERB
cord-152881-k1hx1m61	237	9	the	the	DET
cord-152881-k1hx1m61	237	10	timing	timing	NOUN
cord-152881-k1hx1m61	237	11	of	of	ADP
cord-152881-k1hx1m61	237	12	the	the	DET
cord-152881-k1hx1m61	237	13	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	237	14	but	but	CCONJ
cord-152881-k1hx1m61	237	15	not	not	PART
cord-152881-k1hx1m61	237	16	its	its	PRON
cord-152881-k1hx1m61	237	17	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	237	18	.	.	PUNCT
cord-152881-k1hx1m61	238	1	figure	figure	NOUN
cord-152881-k1hx1m61	238	2	5	5	NUM
cord-152881-k1hx1m61	238	3	:	:	PUNCT
cord-152881-k1hx1m61	238	4	dynamics	dynamic	NOUN
cord-152881-k1hx1m61	238	5	of	of	ADP
cord-152881-k1hx1m61	238	6	sir	sir	PROPN
cord-152881-k1hx1m61	238	7	model	model	NOUN
cord-152881-k1hx1m61	238	8	when	when	SCONJ
cord-152881-k1hx1m61	238	9	(	(	PUNCT
cord-152881-k1hx1m61	238	10	β	β	NOUN
cord-152881-k1hx1m61	238	11	,	,	PUNCT
cord-152881-k1hx1m61	238	12	γ	γ	NOUN
cord-152881-k1hx1m61	238	13	)	)	PUNCT
cord-152881-k1hx1m61	238	14	=	=	NOUN
cord-152881-k1hx1m61	238	15	(	(	PUNCT
cord-152881-k1hx1m61	238	16	0.2	0.2	NUM
cord-152881-k1hx1m61	238	17	,	,	PUNCT
cord-152881-k1hx1m61	238	18	0.1	0.1	NUM
cord-152881-k1hx1m61	238	19	)	)	PUNCT
cord-152881-k1hx1m61	238	20	,	,	PUNCT
cord-152881-k1hx1m61	238	21	y	y	PROPN
cord-152881-k1hx1m61	238	22	0	0	NUM
cord-152881-k1hx1m61	238	23	=	=	SYM
cord-152881-k1hx1m61	238	24	10	10	NUM
cord-152881-k1hx1m61	238	25	−6	−6	NUM
cord-152881-k1hx1m61	238	26	,	,	PUNCT
cord-152881-k1hx1m61	238	27	10	10	NUM
cord-152881-k1hx1m61	238	28	−5	−5	NOUN
cord-152881-k1hx1m61	238	29	,	,	PUNCT
cord-152881-k1hx1m61	238	30	10	10	NUM
cord-152881-k1hx1m61	238	31	−4	−4	ADJ
cord-152881-k1hx1m61	238	32	,	,	PUNCT
cord-152881-k1hx1m61	238	33	and	and	CCONJ
cord-152881-k1hx1m61	238	34	z	z	X
cord-152881-k1hx1m61	238	35	0	0	NUM
cord-152881-k1hx1m61	238	36	=	=	SYM
cord-152881-k1hx1m61	238	37	0	0	NUM
cord-152881-k1hx1m61	238	38	.	.	PUNCT
cord-152881-k1hx1m61	239	1	smaller	small	ADJ
cord-152881-k1hx1m61	239	2	y	y	PROPN
cord-152881-k1hx1m61	239	3	0	0	PROPN
cord-152881-k1hx1m61	239	4	corresponds	correspond	VERB
cord-152881-k1hx1m61	239	5	to	to	ADP
cord-152881-k1hx1m61	239	6	later	later	ADV
cord-152881-k1hx1m61	239	7	onset	onset	NOUN
cord-152881-k1hx1m61	239	8	of	of	ADP
cord-152881-k1hx1m61	239	9	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	239	10	.	.	PUNCT
cord-152881-k1hx1m61	240	1	economic	economic	ADJ
cord-152881-k1hx1m61	240	2	activity	activity	NOUN
cord-152881-k1hx1m61	240	3	and	and	CCONJ
cord-152881-k1hx1m61	240	4	the	the	DET
cord-152881-k1hx1m61	240	5	spread	spread	NOUN
cord-152881-k1hx1m61	240	6	of	of	ADP
cord-152881-k1hx1m61	240	7	viral	viral	ADJ
cord-152881-k1hx1m61	240	8	diseases	disease	NOUN
cord-152881-k1hx1m61	240	9	:	:	PUNCT
cord-152881-k1hx1m61	240	10	evidence	evidence	NOUN
cord-152881-k1hx1m61	240	11	from	from	ADP
cord-152881-k1hx1m61	240	12	high	high	ADJ
cord-152881-k1hx1m61	240	13	frequency	frequency	NOUN
cord-152881-k1hx1m61	240	14	data	datum	NOUN
cord-152881-k1hx1m61	240	15	how	how	SCONJ
cord-152881-k1hx1m61	240	16	will	will	AUX
cord-152881-k1hx1m61	240	17	country	country	NOUN
cord-152881-k1hx1m61	240	18	-	-	PUNCT
cord-152881-k1hx1m61	240	19	based	base	VERB
cord-152881-k1hx1m61	240	20	mitigation	mitigation	NOUN
cord-152881-k1hx1m61	240	21	measures	measure	NOUN
cord-152881-k1hx1m61	240	22	influence	influence	VERB
cord-152881-k1hx1m61	240	23	the	the	DET
cord-152881-k1hx1m61	240	24	course	course	NOUN
cord-152881-k1hx1m61	240	25	of	of	ADP
cord-152881-k1hx1m61	240	26	the	the	DET
cord-152881-k1hx1m61	240	27	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	240	28	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	240	29	?	?	PUNCT
cord-152881-k1hx1m61	241	1	rare	rare	ADJ
cord-152881-k1hx1m61	241	2	disasters	disaster	NOUN
cord-152881-k1hx1m61	241	3	and	and	CCONJ
cord-152881-k1hx1m61	241	4	asset	asset	NOUN
cord-152881-k1hx1m61	241	5	markets	market	NOUN
cord-152881-k1hx1m61	241	6	in	in	ADP
cord-152881-k1hx1m61	241	7	the	the	DET
cord-152881-k1hx1m61	241	8	twentieth	twentieth	ADJ
cord-152881-k1hx1m61	241	9	century	century	NOUN
cord-152881-k1hx1m61	241	10	the	the	DET
cord-152881-k1hx1m61	241	11	macroeconomics	macroeconomic	NOUN
cord-152881-k1hx1m61	241	12	of	of	ADP
cord-152881-k1hx1m61	241	13	epidemics	epidemic	NOUN
cord-152881-k1hx1m61	241	14	exact	exact	ADJ
cord-152881-k1hx1m61	241	15	analytical	analytical	ADJ
cord-152881-k1hx1m61	241	16	solutions	solution	NOUN
cord-152881-k1hx1m61	241	17	of	of	ADP
cord-152881-k1hx1m61	241	18	the	the	DET
cord-152881-k1hx1m61	241	19	susceptible	susceptible	ADJ
cord-152881-k1hx1m61	241	20	-	-	PUNCT
cord-152881-k1hx1m61	241	21	infected	infect	VERB
cord-152881-k1hx1m61	241	22	-	-	PUNCT
cord-152881-k1hx1m61	241	23	recovered	recover	VERB
cord-152881-k1hx1m61	241	24	(	(	PUNCT
cord-152881-k1hx1m61	241	25	sir	sir	PROPN
cord-152881-k1hx1m61	241	26	)	)	PUNCT
cord-152881-k1hx1m61	241	27	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	241	28	model	model	NOUN
cord-152881-k1hx1m61	241	29	and	and	CCONJ
cord-152881-k1hx1m61	241	30	of	of	ADP
cord-152881-k1hx1m61	241	31	the	the	DET
cord-152881-k1hx1m61	241	32	sir	sir	PROPN
cord-152881-k1hx1m61	241	33	model	model	NOUN
cord-152881-k1hx1m61	241	34	with	with	ADP
cord-152881-k1hx1m61	241	35	equal	equal	ADJ
cord-152881-k1hx1m61	241	36	death	death	NOUN
cord-152881-k1hx1m61	241	37	and	and	CCONJ
cord-152881-k1hx1m61	241	38	birth	birth	NOUN
cord-152881-k1hx1m61	241	39	rates	rate	VERB
cord-152881-k1hx1m61	241	40	the	the	DET
cord-152881-k1hx1m61	241	41	impact	impact	NOUN
cord-152881-k1hx1m61	241	42	of	of	ADP
cord-152881-k1hx1m61	241	43	the	the	DET
cord-152881-k1hx1m61	241	44	1918	1918	NUM
cord-152881-k1hx1m61	241	45	spanish	spanish	ADJ
cord-152881-k1hx1m61	241	46	flu	flu	NOUN
cord-152881-k1hx1m61	241	47	epidemic	epidemic	NOUN
cord-152881-k1hx1m61	241	48	on	on	ADP
cord-152881-k1hx1m61	241	49	economic	economic	ADJ
cord-152881-k1hx1m61	241	50	performance	performance	NOUN
cord-152881-k1hx1m61	241	51	in	in	ADP
cord-152881-k1hx1m61	241	52	sweden	sweden	PROPN
cord-152881-k1hx1m61	241	53	a	a	DET
cord-152881-k1hx1m61	241	54	contribution	contribution	NOUN
cord-152881-k1hx1m61	241	55	to	to	ADP
cord-152881-k1hx1m61	241	56	the	the	DET
cord-152881-k1hx1m61	241	57	mathematical	mathematical	ADJ
cord-152881-k1hx1m61	241	58	theory	theory	NOUN
cord-152881-k1hx1m61	241	59	of	of	ADP
cord-152881-k1hx1m61	241	60	epidemics	epidemic	NOUN
cord-152881-k1hx1m61	241	61	antiviral	antiviral	ADJ
cord-152881-k1hx1m61	241	62	drugs	drug	NOUN
cord-152881-k1hx1m61	241	63	for	for	ADP
cord-152881-k1hx1m61	241	64	viruses	virus	NOUN
cord-152881-k1hx1m61	241	65	other	other	ADJ
cord-152881-k1hx1m61	241	66	than	than	ADP
cord-152881-k1hx1m61	241	67	human	human	ADJ
cord-152881-k1hx1m61	241	68	immunodeficiency	immunodeficiency	NOUN
cord-152881-k1hx1m61	241	69	virus	virus	NOUN
cord-152881-k1hx1m61	241	70	the	the	DET
cord-152881-k1hx1m61	241	71	equity	equity	NOUN
cord-152881-k1hx1m61	241	72	risk	risk	NOUN
cord-152881-k1hx1m61	241	73	premium	premium	NOUN
cord-152881-k1hx1m61	241	74	:	:	PUNCT
cord-152881-k1hx1m61	241	75	a	a	DET
cord-152881-k1hx1m61	241	76	solution	solution	NOUN
cord-152881-k1hx1m61	241	77	the	the	DET
cord-152881-k1hx1m61	241	78	1918	1918	NUM
cord-152881-k1hx1m61	241	79	"	"	PUNCT
cord-152881-k1hx1m61	241	80	spanish	spanish	ADJ
cord-152881-k1hx1m61	241	81	flu	flu	NOUN
cord-152881-k1hx1m61	241	82	"	"	PUNCT
cord-152881-k1hx1m61	241	83	in	in	ADP
cord-152881-k1hx1m61	241	84	spain	spain	PROPN
cord-152881-k1hx1m61	241	85	hua	hua	PROPN
cord-152881-k1hx1m61	241	86	chen	chen	PROPN
cord-152881-k1hx1m61	241	87	,	,	PUNCT
cord-152881-k1hx1m61	241	88	and	and	CCONJ
cord-152881-k1hx1m61	241	89	bin	bin	PROPN
cord-152881-k1hx1m61	241	90	cao	cao	PROPN
cord-152881-k1hx1m61	241	91	.	.	PUNCT
cord-152881-k1hx1m61	242	1	clinical	clinical	ADJ
cord-152881-k1hx1m61	242	2	course	course	NOUN
cord-152881-k1hx1m61	242	3	and	and	CCONJ
cord-152881-k1hx1m61	242	4	risk	risk	NOUN
cord-152881-k1hx1m61	242	5	factors	factor	NOUN
cord-152881-k1hx1m61	242	6	for	for	ADP
cord-152881-k1hx1m61	242	7	mortality	mortality	NOUN
cord-152881-k1hx1m61	242	8	of	of	ADP
cord-152881-k1hx1m61	242	9	adult	adult	NOUN
cord-152881-k1hx1m61	242	10	inpatients	inpatient	NOUN
cord-152881-k1hx1m61	242	11	with	with	ADP
cord-152881-k1hx1m61	242	12	covid-19	covid-19	PROPN
cord-152881-k1hx1m61	242	13	in	in	ADP
cord-152881-k1hx1m61	242	14	wuhan	wuhan	PROPN
cord-152881-k1hx1m61	242	15	,	,	PUNCT
cord-152881-k1hx1m61	242	16	china	china	PROPN
cord-152881-k1hx1m61	242	17	:	:	PUNCT
cord-152881-k1hx1m61	242	18	a	a	DET
cord-152881-k1hx1m61	242	19	retrospective	retrospective	ADJ
cord-152881-k1hx1m61	242	20	cohort	cohort	NOUN
cord-152881-k1hx1m61	242	21	study	study	NOUN
