id	sid	tid	token	lemma	pos
cord-155015-w3k7r5z9	1	1	key	key	ADJ
cord-155015-w3k7r5z9	1	2	:	:	PUNCT
cord-155015-w3k7r5z9	1	3	cord-155015	cord-155015	PROPN
cord-155015-w3k7r5z9	1	4	-	-	PUNCT
cord-155015-w3k7r5z9	1	5	w3k7r5z9	w3k7r5z9	PROPN
cord-155015-w3k7r5z9	1	6	authors	author	NOUN
cord-155015-w3k7r5z9	1	7	:	:	PUNCT
cord-155015-w3k7r5z9	1	8	arazi	arazi	PROPN
cord-155015-w3k7r5z9	1	9	,	,	PUNCT
cord-155015-w3k7r5z9	1	10	r.	r.	PROPN
cord-155015-w3k7r5z9	1	11	;	;	PUNCT
cord-155015-w3k7r5z9	1	12	feigel	feigel	PROPN
cord-155015-w3k7r5z9	1	13	,	,	PUNCT
cord-155015-w3k7r5z9	1	14	a.	a.	NOUN
cord-155015-w3k7r5z9	1	15	title	title	NOUN
cord-155015-w3k7r5z9	1	16	:	:	PUNCT
cord-155015-w3k7r5z9	1	17	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	1	18	transitions	transition	NOUN
cord-155015-w3k7r5z9	1	19	of	of	ADP
cord-155015-w3k7r5z9	1	20	social	social	ADJ
cord-155015-w3k7r5z9	1	21	distancing	distancing	NOUN
cord-155015-w3k7r5z9	1	22	date	date	NOUN
cord-155015-w3k7r5z9	1	23	:	:	PUNCT
cord-155015-w3k7r5z9	1	24	2020	2020	NUM
cord-155015-w3k7r5z9	1	25	-	-	SYM
cord-155015-w3k7r5z9	1	26	08	08	NUM
cord-155015-w3k7r5z9	1	27	-	-	PUNCT
cord-155015-w3k7r5z9	1	28	16	16	NUM
cord-155015-w3k7r5z9	1	29	journal	journal	NOUN
cord-155015-w3k7r5z9	1	30	:	:	PUNCT
cord-155015-w3k7r5z9	1	31	nan	nan	PROPN
cord-155015-w3k7r5z9	1	32	doi	doi	PROPN
cord-155015-w3k7r5z9	1	33	:	:	PUNCT
cord-155015-w3k7r5z9	1	34	nan	nan	PROPN
cord-155015-w3k7r5z9	1	35	sha	shall	AUX
cord-155015-w3k7r5z9	1	36	:	:	PUNCT
cord-155015-w3k7r5z9	1	37	doc_id	doc_id	X
cord-155015-w3k7r5z9	1	38	:	:	PUNCT
cord-155015-w3k7r5z9	1	39	155015	155015	NUM
cord-155015-w3k7r5z9	2	1	cord_uid	cord_uid	PROPN
cord-155015-w3k7r5z9	2	2	:	:	PUNCT
cord-155015-w3k7r5z9	2	3	w3k7r5z9	w3k7r5z9	PROPN
cord-155015-w3k7r5z9	2	4	the	the	DET
cord-155015-w3k7r5z9	2	5	1st	1st	ADJ
cord-155015-w3k7r5z9	2	6	wave	wave	NOUN
cord-155015-w3k7r5z9	2	7	of	of	ADP
cord-155015-w3k7r5z9	2	8	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	2	9	changed	change	VERB
cord-155015-w3k7r5z9	2	10	social	social	ADJ
cord-155015-w3k7r5z9	2	11	distancing	distancing	NOUN
cord-155015-w3k7r5z9	2	12	around	around	ADP
cord-155015-w3k7r5z9	2	13	the	the	DET
cord-155015-w3k7r5z9	2	14	globe	globe	NOUN
cord-155015-w3k7r5z9	2	15	:	:	PUNCT
cord-155015-w3k7r5z9	2	16	severe	severe	ADJ
cord-155015-w3k7r5z9	2	17	lockdowns	lockdown	NOUN
cord-155015-w3k7r5z9	2	18	to	to	PART
cord-155015-w3k7r5z9	2	19	stop	stop	VERB
cord-155015-w3k7r5z9	2	20	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	2	21	at	at	ADP
cord-155015-w3k7r5z9	2	22	the	the	DET
cord-155015-w3k7r5z9	2	23	cost	cost	NOUN
cord-155015-w3k7r5z9	2	24	of	of	ADP
cord-155015-w3k7r5z9	2	25	state	state	NOUN
cord-155015-w3k7r5z9	2	26	economies	economy	NOUN
cord-155015-w3k7r5z9	2	27	preceded	precede	VERB
cord-155015-w3k7r5z9	2	28	a	a	DET
cord-155015-w3k7r5z9	2	29	series	series	NOUN
cord-155015-w3k7r5z9	2	30	of	of	ADP
cord-155015-w3k7r5z9	2	31	lockdown	lockdown	NOUN
cord-155015-w3k7r5z9	2	32	lifts	lift	NOUN
cord-155015-w3k7r5z9	2	33	.	.	PUNCT
cord-155015-w3k7r5z9	3	1	to	to	PART
cord-155015-w3k7r5z9	3	2	understand	understand	VERB
cord-155015-w3k7r5z9	3	3	social	social	ADJ
cord-155015-w3k7r5z9	3	4	distancing	distancing	NOUN
cord-155015-w3k7r5z9	3	5	dynamics	dynamic	NOUN
cord-155015-w3k7r5z9	3	6	it	it	PRON
cord-155015-w3k7r5z9	3	7	is	be	AUX
cord-155015-w3k7r5z9	3	8	important	important	ADJ
cord-155015-w3k7r5z9	3	9	to	to	PART
cord-155015-w3k7r5z9	3	10	combine	combine	VERB
cord-155015-w3k7r5z9	3	11	basic	basic	ADJ
cord-155015-w3k7r5z9	3	12	epidemiology	epidemiology	NOUN
cord-155015-w3k7r5z9	3	13	models	model	NOUN
cord-155015-w3k7r5z9	3	14	for	for	ADP
cord-155015-w3k7r5z9	3	15	viral	viral	ADJ
cord-155015-w3k7r5z9	3	16	unfold	unfold	NOUN
cord-155015-w3k7r5z9	3	17	(	(	PUNCT
cord-155015-w3k7r5z9	3	18	like	like	ADP
cord-155015-w3k7r5z9	3	19	sir	sir	PROPN
cord-155015-w3k7r5z9	3	20	)	)	PUNCT
cord-155015-w3k7r5z9	3	21	with	with	ADP
cord-155015-w3k7r5z9	3	22	game	game	NOUN
cord-155015-w3k7r5z9	3	23	theory	theory	NOUN
cord-155015-w3k7r5z9	3	24	tools	tool	NOUN
cord-155015-w3k7r5z9	3	25	,	,	PUNCT
cord-155015-w3k7r5z9	3	26	such	such	ADJ
cord-155015-w3k7r5z9	3	27	as	as	ADP
cord-155015-w3k7r5z9	3	28	a	a	DET
cord-155015-w3k7r5z9	3	29	utility	utility	NOUN
cord-155015-w3k7r5z9	3	30	function	function	NOUN
cord-155015-w3k7r5z9	3	31	that	that	PRON
cord-155015-w3k7r5z9	3	32	quantifies	quantify	VERB
cord-155015-w3k7r5z9	3	33	individual	individual	ADJ
cord-155015-w3k7r5z9	3	34	or	or	CCONJ
cord-155015-w3k7r5z9	3	35	government	government	NOUN
cord-155015-w3k7r5z9	3	36	forecast	forecast	NOUN
cord-155015-w3k7r5z9	3	37	for	for	ADP
cord-155015-w3k7r5z9	3	38	epidemic	epidemic	NOUN
cord-155015-w3k7r5z9	3	39	damage	damage	NOUN
cord-155015-w3k7r5z9	3	40	and	and	CCONJ
cord-155015-w3k7r5z9	3	41	economy	economy	NOUN
cord-155015-w3k7r5z9	3	42	cost	cost	NOUN
cord-155015-w3k7r5z9	3	43	as	as	ADP
cord-155015-w3k7r5z9	3	44	the	the	DET
cord-155015-w3k7r5z9	3	45	functions	function	NOUN
cord-155015-w3k7r5z9	3	46	of	of	ADP
cord-155015-w3k7r5z9	3	47	social	social	ADJ
cord-155015-w3k7r5z9	3	48	distancing	distancing	NOUN
cord-155015-w3k7r5z9	3	49	.	.	PUNCT
cord-155015-w3k7r5z9	4	1	here	here	ADV
cord-155015-w3k7r5z9	4	2	we	we	PRON
cord-155015-w3k7r5z9	4	3	present	present	VERB
cord-155015-w3k7r5z9	4	4	a	a	DET
cord-155015-w3k7r5z9	4	5	model	model	NOUN
cord-155015-w3k7r5z9	4	6	that	that	PRON
cord-155015-w3k7r5z9	4	7	predicts	predict	VERB
cord-155015-w3k7r5z9	4	8	a	a	DET
cord-155015-w3k7r5z9	4	9	series	series	NOUN
cord-155015-w3k7r5z9	4	10	of	of	ADP
cord-155015-w3k7r5z9	4	11	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	4	12	transitions	transition	NOUN
cord-155015-w3k7r5z9	4	13	in	in	ADP
cord-155015-w3k7r5z9	4	14	social	social	ADJ
cord-155015-w3k7r5z9	4	15	distancing	distancing	NOUN
cord-155015-w3k7r5z9	4	16	after	after	ADP
cord-155015-w3k7r5z9	4	17	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	4	18	climax	climax	NOUN
cord-155015-w3k7r5z9	4	19	.	.	PUNCT
cord-155015-w3k7r5z9	5	1	each	each	DET
cord-155015-w3k7r5z9	5	2	transition	transition	NOUN
cord-155015-w3k7r5z9	5	3	resembles	resemble	VERB
cord-155015-w3k7r5z9	5	4	a	a	DET
cord-155015-w3k7r5z9	5	5	phase	phase	NOUN
cord-155015-w3k7r5z9	5	6	transition	transition	NOUN
cord-155015-w3k7r5z9	5	7	and	and	CCONJ
cord-155015-w3k7r5z9	5	8	,	,	PUNCT
cord-155015-w3k7r5z9	5	9	so	so	CCONJ
cord-155015-w3k7r5z9	5	10	,	,	PUNCT
cord-155015-w3k7r5z9	5	11	maybe	maybe	ADV
cord-155015-w3k7r5z9	5	12	a	a	DET
cord-155015-w3k7r5z9	5	13	general	general	ADJ
cord-155015-w3k7r5z9	5	14	phenomenon	phenomenon	NOUN
cord-155015-w3k7r5z9	5	15	.	.	PUNCT
cord-155015-w3k7r5z9	6	1	data	datum	NOUN
cord-155015-w3k7r5z9	6	2	analysis	analysis	NOUN
cord-155015-w3k7r5z9	6	3	of	of	ADP
cord-155015-w3k7r5z9	6	4	the	the	DET
cord-155015-w3k7r5z9	6	5	first	first	ADJ
cord-155015-w3k7r5z9	6	6	wave	wave	NOUN
cord-155015-w3k7r5z9	6	7	in	in	ADP
cord-155015-w3k7r5z9	6	8	austria	austria	PROPN
cord-155015-w3k7r5z9	6	9	,	,	PUNCT
cord-155015-w3k7r5z9	6	10	israel	israel	PROPN
cord-155015-w3k7r5z9	6	11	,	,	PUNCT
cord-155015-w3k7r5z9	6	12	and	and	CCONJ
cord-155015-w3k7r5z9	6	13	germany	germany	PROPN
cord-155015-w3k7r5z9	6	14	corroborates	corroborate	VERB
cord-155015-w3k7r5z9	6	15	the	the	DET
cord-155015-w3k7r5z9	6	16	soundness	soundness	NOUN
cord-155015-w3k7r5z9	6	17	of	of	ADP
cord-155015-w3k7r5z9	6	18	the	the	DET
cord-155015-w3k7r5z9	6	19	model	model	NOUN
cord-155015-w3k7r5z9	6	20	.	.	PUNCT
cord-155015-w3k7r5z9	7	1	besides	besides	SCONJ
cord-155015-w3k7r5z9	7	2	,	,	PUNCT
cord-155015-w3k7r5z9	7	3	this	this	DET
cord-155015-w3k7r5z9	7	4	work	work	NOUN
cord-155015-w3k7r5z9	7	5	presents	present	VERB
cord-155015-w3k7r5z9	7	6	analytical	analytical	ADJ
cord-155015-w3k7r5z9	7	7	tools	tool	NOUN
cord-155015-w3k7r5z9	7	8	to	to	PART
cord-155015-w3k7r5z9	7	9	analyze	analyze	VERB
cord-155015-w3k7r5z9	7	10	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	7	11	waves	wave	NOUN
cord-155015-w3k7r5z9	7	12	.	.	PUNCT
cord-155015-w3k7r5z9	8	1	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	8	2	are	be	AUX
cord-155015-w3k7r5z9	8	3	complex	complex	ADJ
cord-155015-w3k7r5z9	8	4	medical	medical	ADJ
cord-155015-w3k7r5z9	8	5	and	and	CCONJ
cord-155015-w3k7r5z9	8	6	socioeconomic	socioeconomic	ADJ
cord-155015-w3k7r5z9	8	7	phenomena	phenomena	NOUN
cord-155015-w3k7r5z9	8	8	[	[	PUNCT
cord-155015-w3k7r5z9	8	9	1	1	NUM
cord-155015-w3k7r5z9	8	10	,	,	PUNCT
cord-155015-w3k7r5z9	8	11	2	2	NUM
cord-155015-w3k7r5z9	8	12	]	]	PUNCT
cord-155015-w3k7r5z9	8	13	:	:	PUNCT
cord-155015-w3k7r5z9	8	14	near	near	ADP
cord-155015-w3k7r5z9	8	15	social	social	ADJ
cord-155015-w3k7r5z9	8	16	interactions	interaction	NOUN
cord-155015-w3k7r5z9	8	17	benefit	benefit	VERB
cord-155015-w3k7r5z9	8	18	both	both	DET
cord-155015-w3k7r5z9	8	19	spread	spread	NOUN
cord-155015-w3k7r5z9	8	20	of	of	ADP
cord-155015-w3k7r5z9	8	21	disease	disease	NOUN
cord-155015-w3k7r5z9	8	22	and	and	CCONJ
cord-155015-w3k7r5z9	8	23	significant	significant	ADJ
cord-155015-w3k7r5z9	8	24	part	part	NOUN
cord-155015-w3k7r5z9	8	25	of	of	ADP
cord-155015-w3k7r5z9	8	26	modern	modern	ADJ
cord-155015-w3k7r5z9	8	27	economy	economy	NOUN
cord-155015-w3k7r5z9	8	28	[	[	PUNCT
cord-155015-w3k7r5z9	8	29	3	3	NUM
cord-155015-w3k7r5z9	8	30	,	,	PUNCT
cord-155015-w3k7r5z9	8	31	4	4	NUM
cord-155015-w3k7r5z9	8	32	]	]	PUNCT
cord-155015-w3k7r5z9	8	33	.	.	PUNCT
cord-155015-w3k7r5z9	9	1	during	during	ADP
cord-155015-w3k7r5z9	9	2	covid-19	covid-19	NUM
cord-155015-w3k7r5z9	9	3	most	most	ADJ
cord-155015-w3k7r5z9	9	4	government	government	NOUN
cord-155015-w3k7r5z9	9	5	and	and	CCONJ
cord-155015-w3k7r5z9	9	6	individuals	individual	NOUN
cord-155015-w3k7r5z9	9	7	accepted	accept	VERB
cord-155015-w3k7r5z9	9	8	significant	significant	ADJ
cord-155015-w3k7r5z9	9	9	limitation	limitation	NOUN
cord-155015-w3k7r5z9	9	10	on	on	ADP
cord-155015-w3k7r5z9	9	11	interpersonal	interpersonal	ADJ
cord-155015-w3k7r5z9	9	12	contacts	contact	NOUN
cord-155015-w3k7r5z9	9	13	(	(	PUNCT
cord-155015-w3k7r5z9	9	14	aka	aka	ADV
cord-155015-w3k7r5z9	9	15	social	social	ADJ
cord-155015-w3k7r5z9	9	16	distancing	distancing	NOUN
cord-155015-w3k7r5z9	9	17	)	)	PUNCT
cord-155015-w3k7r5z9	9	18	to	to	PART
cord-155015-w3k7r5z9	9	19	reduce	reduce	VERB
cord-155015-w3k7r5z9	9	20	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	9	21	at	at	ADP
cord-155015-w3k7r5z9	9	22	the	the	DET
cord-155015-w3k7r5z9	9	23	cost	cost	NOUN
cord-155015-w3k7r5z9	9	24	of	of	ADP
cord-155015-w3k7r5z9	9	25	the	the	DET
cord-155015-w3k7r5z9	9	26	economy	economy	NOUN
cord-155015-w3k7r5z9	9	27	.	.	PUNCT
cord-155015-w3k7r5z9	10	1	can	can	AUX
cord-155015-w3k7r5z9	10	2	the	the	DET
cord-155015-w3k7r5z9	10	3	dynamics	dynamic	NOUN
cord-155015-w3k7r5z9	10	4	of	of	ADP
cord-155015-w3k7r5z9	10	5	social	social	ADJ
cord-155015-w3k7r5z9	10	6	distancing	distancing	NOUN
cord-155015-w3k7r5z9	10	7	be	be	AUX
cord-155015-w3k7r5z9	10	8	explained	explain	VERB
cord-155015-w3k7r5z9	10	9	as	as	ADP
cord-155015-w3k7r5z9	10	10	a	a	DET
cord-155015-w3k7r5z9	10	11	self	self	NOUN
cord-155015-w3k7r5z9	10	12	-	-	PUNCT
cord-155015-w3k7r5z9	10	13	contained	contain	VERB
cord-155015-w3k7r5z9	10	14	socio	socio	ADJ
cord-155015-w3k7r5z9	10	15	-	-	ADJ
cord-155015-w3k7r5z9	10	16	epidemiological	epidemiological	ADJ
cord-155015-w3k7r5z9	10	17	model	model	NOUN
cord-155015-w3k7r5z9	10	18	[	[	X
cord-155015-w3k7r5z9	10	19	5	5	NUM
cord-155015-w3k7r5z9	10	20	]	]	PUNCT
cord-155015-w3k7r5z9	10	21	[	[	X
cord-155015-w3k7r5z9	10	22	6	6	NUM
cord-155015-w3k7r5z9	10	23	]	]	PUNCT
cord-155015-w3k7r5z9	10	24	[	[	X
cord-155015-w3k7r5z9	10	25	7	7	NUM
cord-155015-w3k7r5z9	10	26	]	]	PUNCT
cord-155015-w3k7r5z9	10	27	or	or	CCONJ
cord-155015-w3k7r5z9	10	28	completely	completely	ADV
cord-155015-w3k7r5z9	10	29	subjected	subject	VERB
cord-155015-w3k7r5z9	10	30	to	to	ADP
cord-155015-w3k7r5z9	10	31	extrinsic	extrinsic	ADJ
cord-155015-w3k7r5z9	10	32	effects	effect	NOUN
cord-155015-w3k7r5z9	10	33	[	[	X
cord-155015-w3k7r5z9	10	34	8	8	NUM
cord-155015-w3k7r5z9	10	35	]	]	PUNCT
cord-155015-w3k7r5z9	10	36	is	be	AUX
cord-155015-w3k7r5z9	10	37	a	a	DET
cord-155015-w3k7r5z9	10	38	crucial	crucial	ADJ
cord-155015-w3k7r5z9	10	39	question	question	NOUN
cord-155015-w3k7r5z9	10	40	for	for	ADP
cord-155015-w3k7r5z9	10	41	sociophysics	sociophysic	NOUN
cord-155015-w3k7r5z9	10	42	,	,	PUNCT
cord-155015-w3k7r5z9	10	43	a	a	DET
cord-155015-w3k7r5z9	10	44	field	field	NOUN
cord-155015-w3k7r5z9	10	45	that	that	PRON
cord-155015-w3k7r5z9	10	46	tries	try	VERB
cord-155015-w3k7r5z9	10	47	to	to	PART
cord-155015-w3k7r5z9	10	48	describe	describe	VERB
cord-155015-w3k7r5z9	10	49	social	social	ADJ
cord-155015-w3k7r5z9	10	50	human	human	ADJ
cord-155015-w3k7r5z9	10	51	behavior	behavior	NOUN
cord-155015-w3k7r5z9	10	52	as	as	ADP
cord-155015-w3k7r5z9	10	53	a	a	DET
cord-155015-w3k7r5z9	10	54	physical	physical	ADJ
cord-155015-w3k7r5z9	10	55	system	system	NOUN
cord-155015-w3k7r5z9	10	56	.	.	PUNCT
cord-155015-w3k7r5z9	11	1	social	social	ADJ
cord-155015-w3k7r5z9	11	2	distancing	distancing	NOUN
cord-155015-w3k7r5z9	11	3	changes	change	NOUN
cord-155015-w3k7r5z9	11	4	as	as	SCONJ
cord-155015-w3k7r5z9	11	5	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	11	6	unfolds	unfold	VERB
cord-155015-w3k7r5z9	11	7	,	,	PUNCT
cord-155015-w3k7r5z9	11	8	reflecting	reflect	VERB
cord-155015-w3k7r5z9	11	9	a	a	DET
cord-155015-w3k7r5z9	11	10	change	change	NOUN
cord-155015-w3k7r5z9	11	11	in	in	ADP
cord-155015-w3k7r5z9	11	12	personal	personal	ADJ
cord-155015-w3k7r5z9	11	13	and	and	CCONJ
cord-155015-w3k7r5z9	11	14	government	government	NOUN
cord-155015-w3k7r5z9	11	15	beliefs	belief	NOUN
cord-155015-w3k7r5z9	11	16	in	in	ADP
cord-155015-w3k7r5z9	11	17	the	the	DET
cord-155015-w3k7r5z9	11	18	future	future	NOUN
cord-155015-w3k7r5z9	11	19	.	.	PUNCT
cord-155015-w3k7r5z9	12	1	the	the	DET
cord-155015-w3k7r5z9	12	2	spread	spread	NOUN
cord-155015-w3k7r5z9	12	3	of	of	ADP
cord-155015-w3k7r5z9	12	4	disease	disease	NOUN
cord-155015-w3k7r5z9	12	5	increases	increase	VERB
cord-155015-w3k7r5z9	12	6	the	the	DET
cord-155015-w3k7r5z9	12	7	individual	individual	ADJ
cord-155015-w3k7r5z9	12	8	probability	probability	NOUN
cord-155015-w3k7r5z9	12	9	to	to	PART
cord-155015-w3k7r5z9	12	10	become	become	VERB
cord-155015-w3k7r5z9	12	11	sick	sick	ADJ
cord-155015-w3k7r5z9	12	12	and	and	CCONJ
cord-155015-w3k7r5z9	12	13	may	may	AUX
cord-155015-w3k7r5z9	12	14	collapse	collapse	VERB
cord-155015-w3k7r5z9	12	15	the	the	DET
cord-155015-w3k7r5z9	12	16	national	national	ADJ
cord-155015-w3k7r5z9	12	17	health	health	NOUN
cord-155015-w3k7r5z9	12	18	system	system	NOUN
cord-155015-w3k7r5z9	12	19	.	.	PUNCT
cord-155015-w3k7r5z9	13	1	social	social	ADJ
cord-155015-w3k7r5z9	13	2	distancing	distancing	NOUN
cord-155015-w3k7r5z9	13	3	reduces	reduce	VERB
cord-155015-w3k7r5z9	13	4	interpersonal	interpersonal	ADJ
cord-155015-w3k7r5z9	13	5	interactions	interaction	NOUN
cord-155015-w3k7r5z9	13	6	and	and	CCONJ
cord-155015-w3k7r5z9	13	7	complicates	complicate	VERB
cord-155015-w3k7r5z9	13	8	some	some	DET
cord-155015-w3k7r5z9	13	9	individual	individual	ADJ
cord-155015-w3k7r5z9	13	10	production	production	NOUN
cord-155015-w3k7r5z9	13	11	.	.	PUNCT
cord-155015-w3k7r5z9	14	1	the	the	DET
cord-155015-w3k7r5z9	14	2	level	level	NOUN
cord-155015-w3k7r5z9	14	3	of	of	ADP
cord-155015-w3k7r5z9	14	4	social	social	ADJ
cord-155015-w3k7r5z9	14	5	distancing	distancing	NOUN
cord-155015-w3k7r5z9	14	6	corresponds	correspond	NOUN
cord-155015-w3k7r5z9	14	7	to	to	ADP
cord-155015-w3k7r5z9	14	8	equilibrium	equilibrium	NOUN
cord-155015-w3k7r5z9	14	9	between	between	ADP
cord-155015-w3k7r5z9	14	10	future	future	ADJ
cord-155015-w3k7r5z9	14	11	beliefs	belief	NOUN
cord-155015-w3k7r5z9	14	12	on	on	ADP
cord-155015-w3k7r5z9	14	13	epidemic	epidemic	ADJ
cord-155015-w3k7r5z9	14	14	size	size	NOUN
cord-155015-w3k7r5z9	14	15	and	and	CCONJ
cord-155015-w3k7r5z9	14	16	economy	economy	NOUN
cord-155015-w3k7r5z9	14	17	cost	cost	NOUN
cord-155015-w3k7r5z9	14	18	[	[	PUNCT
cord-155015-w3k7r5z9	14	19	9	9	NUM
cord-155015-w3k7r5z9	14	20	,	,	PUNCT
cord-155015-w3k7r5z9	14	21	10	10	NUM
cord-155015-w3k7r5z9	14	22	]	]	PUNCT
cord-155015-w3k7r5z9	14	23	.	.	PUNCT
cord-155015-w3k7r5z9	15	1	to	to	PART
cord-155015-w3k7r5z9	15	2	address	address	VERB
cord-155015-w3k7r5z9	15	3	social	social	ADJ
cord-155015-w3k7r5z9	15	4	distancing	distance	VERB
cord-155015-w3k7r5z9	15	5	classical	classical	ADJ
cord-155015-w3k7r5z9	15	6	epidemiological	epidemiological	ADJ
cord-155015-w3k7r5z9	15	7	modeling	modeling	NOUN
cord-155015-w3k7r5z9	15	8	is	be	AUX
cord-155015-w3k7r5z9	15	9	extended	extend	VERB
cord-155015-w3k7r5z9	15	10	with	with	ADP
cord-155015-w3k7r5z9	15	11	economy	economy	NOUN
cord-155015-w3k7r5z9	15	12	or	or	CCONJ
cord-155015-w3k7r5z9	15	13	game	game	NOUN
cord-155015-w3k7r5z9	15	14	theory	theory	NOUN
cord-155015-w3k7r5z9	15	15	tools	tool	NOUN
cord-155015-w3k7r5z9	15	16	[	[	PUNCT
cord-155015-w3k7r5z9	15	17	5	5	NUM
cord-155015-w3k7r5z9	15	18	-	-	SYM
cord-155015-w3k7r5z9	15	19	7	7	NUM
cord-155015-w3k7r5z9	15	20	,	,	PUNCT
cord-155015-w3k7r5z9	15	21	11	11	NUM
cord-155015-w3k7r5z9	15	22	,	,	PUNCT
cord-155015-w3k7r5z9	15	23	12	12	NUM
cord-155015-w3k7r5z9	15	24	]	]	PUNCT
cord-155015-w3k7r5z9	15	25	.	.	PUNCT
cord-155015-w3k7r5z9	16	1	sir	sir	PROPN
cord-155015-w3k7r5z9	16	2	model	model	PROPN
cord-155015-w3k7r5z9	17	1	[	[	X
cord-155015-w3k7r5z9	17	2	13	13	NUM
cord-155015-w3k7r5z9	17	3	]	]	PUNCT
cord-155015-w3k7r5z9	17	4	addresses	address	NOUN
cord-155015-w3k7r5z9	17	5	disease	disease	NOUN
cord-155015-w3k7r5z9	17	6	spread	spread	VERB
cord-155015-w3k7r5z9	17	7	as	as	ADP
cord-155015-w3k7r5z9	17	8	gas	gas	NOUN
cord-155015-w3k7r5z9	17	9	or	or	CCONJ
cord-155015-w3k7r5z9	17	10	network	network	NOUN
cord-155015-w3k7r5z9	17	11	-	-	PUNCT
cord-155015-w3k7r5z9	17	12	like	like	ADJ
cord-155015-w3k7r5z9	17	13	[	[	PUNCT
cord-155015-w3k7r5z9	17	14	14	14	NUM
cord-155015-w3k7r5z9	17	15	]	]	PUNCT
cord-155015-w3k7r5z9	17	16	interaction	interaction	NOUN
cord-155015-w3k7r5z9	17	17	of	of	ADP
cord-155015-w3k7r5z9	17	18	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	17	19	,	,	PUNCT
cord-155015-w3k7r5z9	17	20	infected	infect	VERB
cord-155015-w3k7r5z9	17	21	,	,	PUNCT
cord-155015-w3k7r5z9	17	22	and	and	CCONJ
cord-155015-w3k7r5z9	17	23	recovered	recover	VERB
cord-155015-w3k7r5z9	17	24	individuals	individual	NOUN
cord-155015-w3k7r5z9	17	25	.	.	PUNCT
cord-155015-w3k7r5z9	18	1	an	an	DET
cord-155015-w3k7r5z9	18	2	infected	infect	VERB
cord-155015-w3k7r5z9	18	3	transmit	transmit	VERB
cord-155015-w3k7r5z9	18	4	the	the	DET
cord-155015-w3k7r5z9	18	5	disease	disease	NOUN
cord-155015-w3k7r5z9	18	6	to	to	PART
cord-155015-w3k7r5z9	18	7	susceptible	susceptible	VERB
cord-155015-w3k7r5z9	18	8	from	from	ADP
cord-155015-w3k7r5z9	18	9	the	the	DET
cord-155015-w3k7r5z9	18	10	moment	moment	NOUN
cord-155015-w3k7r5z9	18	11	of	of	ADP
cord-155015-w3k7r5z9	18	12	infection	infection	NOUN
cord-155015-w3k7r5z9	18	13	until	until	SCONJ
cord-155015-w3k7r5z9	18	14	he	he	PRON
cord-155015-w3k7r5z9	18	15	/	/	NOUN
cord-155015-w3k7r5z9	18	16	she	she	PRON
cord-155015-w3k7r5z9	18	17	recovers	recover	VERB
cord-155015-w3k7r5z9	18	18	.	.	PUNCT
cord-155015-w3k7r5z9	19	1	social	social	ADJ
cord-155015-w3k7r5z9	19	2	distancing	distancing	NOUN
cord-155015-w3k7r5z9	19	3	reduces	reduce	VERB
cord-155015-w3k7r5z9	19	4	inter	inter	ADJ
cord-155015-w3k7r5z9	19	5	-	-	NOUN
cord-155015-w3k7r5z9	19	6	person	person	ADJ
cord-155015-w3k7r5z9	19	7	interaction	interaction	NOUN
cord-155015-w3k7r5z9	19	8	and	and	CCONJ
cord-155015-w3k7r5z9	19	9	thus	thus	ADV
cord-155015-w3k7r5z9	19	10	reduces	reduce	VERB
cord-155015-w3k7r5z9	19	11	the	the	DET
cord-155015-w3k7r5z9	19	12	effectivity	effectivity	NOUN
cord-155015-w3k7r5z9	19	13	of	of	ADP
cord-155015-w3k7r5z9	19	14	transmission	transmission	NOUN
cord-155015-w3k7r5z9	19	15	,	,	PUNCT
cord-155015-w3k7r5z9	19	16	but	but	CCONJ
cord-155015-w3k7r5z9	19	17	at	at	ADP
cord-155015-w3k7r5z9	19	18	the	the	DET
cord-155015-w3k7r5z9	19	19	same	same	ADJ
cord-155015-w3k7r5z9	19	20	time	time	NOUN
cord-155015-w3k7r5z9	19	21	claims	claim	VERB
cord-155015-w3k7r5z9	19	22	significant	significant	ADJ
cord-155015-w3k7r5z9	19	23	economic	economic	ADJ
cord-155015-w3k7r5z9	19	24	price	price	NOUN
cord-155015-w3k7r5z9	19	25	.	.	PUNCT
cord-155015-w3k7r5z9	20	1	to	to	PART
cord-155015-w3k7r5z9	20	2	find	find	VERB
cord-155015-w3k7r5z9	20	3	an	an	DET
cord-155015-w3k7r5z9	20	4	equilibrium	equilibrium	NOUN
cord-155015-w3k7r5z9	20	5	level	level	NOUN
cord-155015-w3k7r5z9	20	6	of	of	ADP
cord-155015-w3k7r5z9	20	7	social	social	ADJ
cord-155015-w3k7r5z9	20	8	distancing	distance	VERB
cord-155015-w3k7r5z9	20	9	a	a	DET
cord-155015-w3k7r5z9	20	10	utility	utility	NOUN
cord-155015-w3k7r5z9	20	11	function	function	NOUN
cord-155015-w3k7r5z9	20	12	quantifies	quantifie	NOUN
cord-155015-w3k7r5z9	20	13	the	the	DET
cord-155015-w3k7r5z9	20	14	negative	negative	ADJ
cord-155015-w3k7r5z9	20	15	weight	weight	NOUN
cord-155015-w3k7r5z9	20	16	of	of	ADP
cord-155015-w3k7r5z9	20	17	epidemics	epidemic	NOUN
cord-155015-w3k7r5z9	20	18	,	,	PUNCT
cord-155015-w3k7r5z9	20	19	social	social	ADJ
cord-155015-w3k7r5z9	20	20	distancing	distancing	NOUN
cord-155015-w3k7r5z9	20	21	itself	itself	PRON
cord-155015-w3k7r5z9	20	22	,	,	PUNCT
cord-155015-w3k7r5z9	20	23	and	and	CCONJ
cord-155015-w3k7r5z9	20	24	the	the	DET
cord-155015-w3k7r5z9	20	25	economic	economic	ADJ
cord-155015-w3k7r5z9	20	26	cost	cost	NOUN
cord-155015-w3k7r5z9	20	27	of	of	ADP
cord-155015-w3k7r5z9	20	28	social	social	ADJ
cord-155015-w3k7r5z9	20	29	distancing	distancing	NOUN
cord-155015-w3k7r5z9	20	30	.	.	PUNCT
cord-155015-w3k7r5z9	21	1	utility	utility	NOUN
cord-155015-w3k7r5z9	21	2	function	function	NOUN
cord-155015-w3k7r5z9	21	3	extension	extension	NOUN
cord-155015-w3k7r5z9	21	4	of	of	ADP
cord-155015-w3k7r5z9	21	5	the	the	DET
cord-155015-w3k7r5z9	21	6	sir	sir	PROPN
cord-155015-w3k7r5z9	21	7	model	model	NOUN
cord-155015-w3k7r5z9	21	8	is	be	AUX
cord-155015-w3k7r5z9	21	9	in	in	ADP
cord-155015-w3k7r5z9	21	10	the	the	DET
cord-155015-w3k7r5z9	21	11	focus	focus	NOUN
cord-155015-w3k7r5z9	21	12	of	of	ADP
cord-155015-w3k7r5z9	21	13	game	game	NOUN
cord-155015-w3k7r5z9	21	14	theory	theory	NOUN
cord-155015-w3k7r5z9	21	15	treatment	treatment	NOUN
cord-155015-w3k7r5z9	21	16	of	of	ADP
cord-155015-w3k7r5z9	21	17	vaccine	vaccine	NOUN
cord-155015-w3k7r5z9	21	18	policies	policy	NOUN
cord-155015-w3k7r5z9	21	19	[	[	X
cord-155015-w3k7r5z9	21	20	15	15	NUM
cord-155015-w3k7r5z9	21	21	]	]	PUNCT
cord-155015-w3k7r5z9	21	22	and	and	CCONJ
cord-155015-w3k7r5z9	21	23	recent	recent	ADJ
cord-155015-w3k7r5z9	21	24	estimates	estimate	NOUN
cord-155015-w3k7r5z9	21	25	of	of	ADP
cord-155015-w3k7r5z9	21	26	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	21	27	economy	economy	NOUN
cord-155015-w3k7r5z9	21	28	damage	damage	NOUN
cord-155015-w3k7r5z9	21	29	due	due	ADP
cord-155015-w3k7r5z9	21	30	to	to	ADP
cord-155015-w3k7r5z9	21	31	social	social	ADJ
cord-155015-w3k7r5z9	21	32	distancing	distancing	NOUN
cord-155015-w3k7r5z9	21	33	[	[	PUNCT
cord-155015-w3k7r5z9	21	34	4	4	NUM
cord-155015-w3k7r5z9	21	35	,	,	PUNCT
cord-155015-w3k7r5z9	21	36	9	9	NUM
cord-155015-w3k7r5z9	21	37	,	,	PUNCT
cord-155015-w3k7r5z9	21	38	10	10	NUM
cord-155015-w3k7r5z9	21	39	,	,	PUNCT
cord-155015-w3k7r5z9	21	40	[	[	X
cord-155015-w3k7r5z9	21	41	16	16	NUM
cord-155015-w3k7r5z9	21	42	]	]	PUNCT
cord-155015-w3k7r5z9	21	43	[	[	X
cord-155015-w3k7r5z9	21	44	17	17	NUM
cord-155015-w3k7r5z9	21	45	]	]	PUNCT
cord-155015-w3k7r5z9	21	46	[	[	X
cord-155015-w3k7r5z9	21	47	18	18	NUM
cord-155015-w3k7r5z9	21	48	]	]	PUNCT
cord-155015-w3k7r5z9	21	49	.	.	PUNCT
cord-155015-w3k7r5z9	22	1	*	*	PUNCT
cord-155015-w3k7r5z9	22	2	sasha@phys.huji.ac.il	sasha@phys.huji.ac.il	NOUN
cord-155015-w3k7r5z9	22	3	here	here	ADV
cord-155015-w3k7r5z9	22	4	we	we	PRON
cord-155015-w3k7r5z9	22	5	show	show	VERB
cord-155015-w3k7r5z9	22	6	that	that	SCONJ
cord-155015-w3k7r5z9	22	7	social	social	ADJ
cord-155015-w3k7r5z9	22	8	distancing	distancing	NOUN
cord-155015-w3k7r5z9	22	9	during	during	ADP
cord-155015-w3k7r5z9	22	10	a	a	DET
cord-155015-w3k7r5z9	22	11	pandemic	pandemic	NOUN
cord-155015-w3k7r5z9	22	12	may	may	AUX
cord-155015-w3k7r5z9	22	13	have	have	VERB
cord-155015-w3k7r5z9	22	14	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	22	15	changes	change	NOUN
cord-155015-w3k7r5z9	22	16	that	that	PRON
cord-155015-w3k7r5z9	22	17	to	to	ADP
cord-155015-w3k7r5z9	22	18	some	some	DET
cord-155015-w3k7r5z9	22	19	extent	extent	NOUN
cord-155015-w3k7r5z9	22	20	resemble	resemble	VERB
cord-155015-w3k7r5z9	22	21	phase	phase	NOUN
cord-155015-w3k7r5z9	22	22	-	-	PUNCT
cord-155015-w3k7r5z9	22	23	transitions	transition	NOUN
cord-155015-w3k7r5z9	22	24	.	.	PUNCT
cord-155015-w3k7r5z9	23	1	in	in	ADP
cord-155015-w3k7r5z9	23	2	this	this	DET
cord-155015-w3k7r5z9	23	3	work	work	NOUN
cord-155015-w3k7r5z9	23	4	,	,	PUNCT
cord-155015-w3k7r5z9	23	5	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	23	6	starts	start	VERB
cord-155015-w3k7r5z9	23	7	to	to	PART
cord-155015-w3k7r5z9	23	8	unfold	unfold	VERB
cord-155015-w3k7r5z9	23	9	according	accord	VERB
cord-155015-w3k7r5z9	23	10	to	to	ADP
cord-155015-w3k7r5z9	23	11	the	the	DET
cord-155015-w3k7r5z9	23	12	sir	sir	PROPN
cord-155015-w3k7r5z9	23	13	model	model	NOUN
cord-155015-w3k7r5z9	23	14	.	.	PUNCT
cord-155015-w3k7r5z9	24	1	at	at	ADP
cord-155015-w3k7r5z9	24	2	each	each	DET
cord-155015-w3k7r5z9	24	3	moment	moment	NOUN
cord-155015-w3k7r5z9	24	4	social	social	ADJ
cord-155015-w3k7r5z9	24	5	distancing	distancing	NOUN
cord-155015-w3k7r5z9	24	6	depends	depend	VERB
cord-155015-w3k7r5z9	24	7	on	on	ADP
cord-155015-w3k7r5z9	24	8	utility	utility	NOUN
cord-155015-w3k7r5z9	24	9	functions	function	NOUN
cord-155015-w3k7r5z9	24	10	that	that	PRON
cord-155015-w3k7r5z9	24	11	quantify	quantify	VERB
cord-155015-w3k7r5z9	24	12	the	the	DET
cord-155015-w3k7r5z9	24	13	final	final	ADJ
cord-155015-w3k7r5z9	24	14	epidemic	epidemic	NOUN
cord-155015-w3k7r5z9	24	15	size	size	NOUN
cord-155015-w3k7r5z9	24	16	and	and	CCONJ
cord-155015-w3k7r5z9	24	17	social	social	ADJ
cord-155015-w3k7r5z9	24	18	distancing	distancing	NOUN
cord-155015-w3k7r5z9	24	19	economy	economy	NOUN
cord-155015-w3k7r5z9	24	20	cost	cost	NOUN
cord-155015-w3k7r5z9	24	21	.	.	PUNCT
cord-155015-w3k7r5z9	25	1	optimal	optimal	ADJ
cord-155015-w3k7r5z9	25	2	values	value	NOUN
cord-155015-w3k7r5z9	25	3	of	of	ADP
cord-155015-w3k7r5z9	25	4	social	social	ADJ
cord-155015-w3k7r5z9	25	5	distancing	distancing	NOUN
cord-155015-w3k7r5z9	25	6	correspond	correspond	VERB
cord-155015-w3k7r5z9	25	7	to	to	ADP
cord-155015-w3k7r5z9	25	8	the	the	DET
cord-155015-w3k7r5z9	25	9	maxima	maxima	NOUN
cord-155015-w3k7r5z9	25	10	of	of	ADP
cord-155015-w3k7r5z9	25	11	the	the	DET
cord-155015-w3k7r5z9	25	12	utility	utility	NOUN
cord-155015-w3k7r5z9	25	13	function	function	NOUN
cord-155015-w3k7r5z9	25	14	.	.	PUNCT
cord-155015-w3k7r5z9	26	1	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	26	2	transitions	transition	NOUN
cord-155015-w3k7r5z9	26	3	correspond	correspond	VERB
cord-155015-w3k7r5z9	26	4	to	to	ADP
cord-155015-w3k7r5z9	26	5	the	the	DET
cord-155015-w3k7r5z9	26	6	abrupt	abrupt	ADJ
cord-155015-w3k7r5z9	26	7	changes	change	NOUN
cord-155015-w3k7r5z9	26	8	in	in	ADP
cord-155015-w3k7r5z9	26	9	maxima	maxima	NOUN
cord-155015-w3k7r5z9	26	10	locations	location	NOUN
cord-155015-w3k7r5z9	26	11	.	.	PUNCT
cord-155015-w3k7r5z9	27	1	this	this	DET
cord-155015-w3k7r5z9	27	2	work	work	NOUN
cord-155015-w3k7r5z9	27	3	presents	present	VERB
cord-155015-w3k7r5z9	27	4	an	an	DET
cord-155015-w3k7r5z9	27	5	analytical	analytical	ADJ
cord-155015-w3k7r5z9	27	6	expression	expression	NOUN
cord-155015-w3k7r5z9	27	7	of	of	ADP
cord-155015-w3k7r5z9	27	8	the	the	DET
cord-155015-w3k7r5z9	27	9	general	general	ADJ
cord-155015-w3k7r5z9	27	10	utility	utility	NOUN
cord-155015-w3k7r5z9	27	11	function	function	NOUN
cord-155015-w3k7r5z9	27	12	in	in	ADP
cord-155015-w3k7r5z9	27	13	a	a	DET
cord-155015-w3k7r5z9	27	14	polynomial	polynomial	ADJ
cord-155015-w3k7r5z9	27	15	form	form	NOUN
cord-155015-w3k7r5z9	27	16	.	.	PUNCT
cord-155015-w3k7r5z9	28	1	utility	utility	NOUN
cord-155015-w3k7r5z9	28	2	function	function	NOUN
cord-155015-w3k7r5z9	28	3	,	,	PUNCT
cord-155015-w3k7r5z9	28	4	so	so	ADV
cord-155015-w3k7r5z9	28	5	,	,	PUNCT
cord-155015-w3k7r5z9	28	6	reminds	remind	VERB
cord-155015-w3k7r5z9	28	7	the	the	DET
cord-155015-w3k7r5z9	28	8	free	free	ADJ
cord-155015-w3k7r5z9	28	9	energy	energy	NOUN
cord-155015-w3k7r5z9	28	10	of	of	ADP
cord-155015-w3k7r5z9	28	11	a	a	DET
cord-155015-w3k7r5z9	28	12	system	system	NOUN
cord-155015-w3k7r5z9	28	13	during	during	ADP
cord-155015-w3k7r5z9	28	14	ginzburg	ginzburg	NOUN
cord-155015-w3k7r5z9	28	15	-	-	PUNCT
cord-155015-w3k7r5z9	28	16	landau	landau	NOUN
cord-155015-w3k7r5z9	28	17	phase	phase	NOUN
cord-155015-w3k7r5z9	28	18	transition	transition	NOUN
cord-155015-w3k7r5z9	28	19	[	[	NOUN
cord-155015-w3k7r5z9	28	20	19	19	NUM
cord-155015-w3k7r5z9	28	21	]	]	PUNCT
cord-155015-w3k7r5z9	28	22	[	[	X
cord-155015-w3k7r5z9	28	23	20	20	NUM
cord-155015-w3k7r5z9	28	24	]	]	PUNCT
cord-155015-w3k7r5z9	28	25	[	[	X
cord-155015-w3k7r5z9	28	26	21	21	NUM
cord-155015-w3k7r5z9	28	27	]	]	PUNCT
cord-155015-w3k7r5z9	28	28	[	[	X
cord-155015-w3k7r5z9	28	29	22	22	NUM
cord-155015-w3k7r5z9	28	30	]	]	PUNCT
cord-155015-w3k7r5z9	28	31	and	and	CCONJ
cord-155015-w3k7r5z9	28	32	may	may	AUX
cord-155015-w3k7r5z9	28	33	have	have	VERB
cord-155015-w3k7r5z9	28	34	some	some	DET
cord-155015-w3k7r5z9	28	35	level	level	NOUN
cord-155015-w3k7r5z9	28	36	of	of	ADP
cord-155015-w3k7r5z9	28	37	universality	universality	NOUN
cord-155015-w3k7r5z9	28	38	.	.	PUNCT
cord-155015-w3k7r5z9	29	1	the	the	DET
cord-155015-w3k7r5z9	29	2	first	first	ADJ
cord-155015-w3k7r5z9	29	3	component	component	NOUN
cord-155015-w3k7r5z9	29	4	of	of	ADP
cord-155015-w3k7r5z9	29	5	the	the	DET
cord-155015-w3k7r5z9	29	6	utility	utility	NOUN
cord-155015-w3k7r5z9	29	7	function	function	NOUN
cord-155015-w3k7r5z9	29	8	is	be	AUX
cord-155015-w3k7r5z9	29	9	economic	economic	ADJ
cord-155015-w3k7r5z9	29	10	gain	gain	NOUN
cord-155015-w3k7r5z9	29	11	or	or	CCONJ
cord-155015-w3k7r5z9	29	12	loss	loss	NOUN
cord-155015-w3k7r5z9	29	13	from	from	ADP
cord-155015-w3k7r5z9	29	14	a	a	DET
cord-155015-w3k7r5z9	29	15	decrease	decrease	NOUN
cord-155015-w3k7r5z9	29	16	or	or	CCONJ
cord-155015-w3k7r5z9	29	17	increase	increase	NOUN
cord-155015-w3k7r5z9	29	18	of	of	ADP
cord-155015-w3k7r5z9	29	19	social	social	ADJ
cord-155015-w3k7r5z9	29	20	distancing	distancing	NOUN
cord-155015-w3k7r5z9	29	21	.	.	PUNCT
cord-155015-w3k7r5z9	30	1	thus	thus	ADV
cord-155015-w3k7r5z9	30	2	social	social	ADJ
cord-155015-w3k7r5z9	30	3	distancing	distancing	NOUN
cord-155015-w3k7r5z9	30	4	parameter	parameter	NOUN
cord-155015-w3k7r5z9	30	5	should	should	AUX
cord-155015-w3k7r5z9	30	6	address	address	VERB
cord-155015-w3k7r5z9	30	7	changes	change	NOUN
cord-155015-w3k7r5z9	30	8	in	in	ADP
cord-155015-w3k7r5z9	30	9	the	the	DET
cord-155015-w3k7r5z9	30	10	number	number	NOUN
cord-155015-w3k7r5z9	30	11	of	of	ADP
cord-155015-w3k7r5z9	30	12	individuals	individual	NOUN
cord-155015-w3k7r5z9	30	13	that	that	PRON
cord-155015-w3k7r5z9	30	14	produce	produce	VERB
cord-155015-w3k7r5z9	30	15	or	or	CCONJ
cord-155015-w3k7r5z9	30	16	take	take	VERB
cord-155015-w3k7r5z9	30	17	place	place	NOUN
cord-155015-w3k7r5z9	30	18	in	in	ADP
cord-155015-w3k7r5z9	30	19	productive	productive	ADJ
cord-155015-w3k7r5z9	30	20	mingling	mingling	NOUN
cord-155015-w3k7r5z9	30	21	[	[	PUNCT
cord-155015-w3k7r5z9	30	22	9	9	NUM
cord-155015-w3k7r5z9	30	23	,	,	PUNCT
cord-155015-w3k7r5z9	30	24	23	23	NUM
cord-155015-w3k7r5z9	30	25	]	]	PUNCT
cord-155015-w3k7r5z9	30	26	.	.	PUNCT
cord-155015-w3k7r5z9	31	1	this	this	DET
cord-155015-w3k7r5z9	31	2	work	work	NOUN
cord-155015-w3k7r5z9	31	3	associates	associate	VERB
cord-155015-w3k7r5z9	31	4	social	social	ADJ
cord-155015-w3k7r5z9	31	5	distancing	distancing	NOUN
cord-155015-w3k7r5z9	31	6	with	with	ADP
cord-155015-w3k7r5z9	31	7	s	s	PROPN
cord-155015-w3k7r5z9	31	8	th	th	X
cord-155015-w3k7r5z9	31	9	=	=	SYM
cord-155015-w3k7r5z9	31	10	1	1	NUM
cord-155015-w3k7r5z9	31	11	/	/	SYM
cord-155015-w3k7r5z9	31	12	r	r	NOUN
cord-155015-w3k7r5z9	31	13	,	,	PUNCT
cord-155015-w3k7r5z9	31	14	where	where	SCONJ
cord-155015-w3k7r5z9	31	15	r	r	NOUN
cord-155015-w3k7r5z9	31	16	is	be	AUX
cord-155015-w3k7r5z9	31	17	a	a	DET
cord-155015-w3k7r5z9	31	18	basic	basic	ADJ
cord-155015-w3k7r5z9	31	19	reproductive	reproductive	ADJ
cord-155015-w3k7r5z9	31	20	number	number	NOUN
cord-155015-w3k7r5z9	31	21	.	.	PUNCT
cord-155015-w3k7r5z9	32	1	r	r	NOUN
cord-155015-w3k7r5z9	32	2	is	be	AUX
cord-155015-w3k7r5z9	32	3	a	a	DET
cord-155015-w3k7r5z9	32	4	major	major	ADJ
cord-155015-w3k7r5z9	32	5	parameter	parameter	NOUN
cord-155015-w3k7r5z9	32	6	of	of	ADP
cord-155015-w3k7r5z9	32	7	the	the	DET
cord-155015-w3k7r5z9	32	8	sir	sir	PROPN
cord-155015-w3k7r5z9	32	9	model	model	NOUN
cord-155015-w3k7r5z9	32	10	-the	-the	DET
cord-155015-w3k7r5z9	32	11	average	average	ADJ
cord-155015-w3k7r5z9	32	12	number	number	NOUN
cord-155015-w3k7r5z9	32	13	of	of	ADP
cord-155015-w3k7r5z9	32	14	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	32	15	that	that	SCONJ
cord-155015-w3k7r5z9	32	16	an	an	DET
cord-155015-w3k7r5z9	32	17	infected	infect	VERB
cord-155015-w3k7r5z9	32	18	person	person	NOUN
cord-155015-w3k7r5z9	32	19	infects	infect	VERB
cord-155015-w3k7r5z9	32	20	.	.	PUNCT
cord-155015-w3k7r5z9	33	1	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	33	2	breaks	break	VERB
cord-155015-w3k7r5z9	33	3	out	out	ADP
cord-155015-w3k7r5z9	33	4	when	when	SCONJ
cord-155015-w3k7r5z9	33	5	r	r	X
cord-155015-w3k7r5z9	33	6	>	>	X
cord-155015-w3k7r5z9	33	7	1	1	NUM
cord-155015-w3k7r5z9	33	8	.	.	PUNCT
cord-155015-w3k7r5z9	34	1	network	network	NOUN
cord-155015-w3k7r5z9	34	2	interpretation	interpretation	NOUN
cord-155015-w3k7r5z9	34	3	maps	map	NOUN
cord-155015-w3k7r5z9	34	4	sir	sir	PROPN
cord-155015-w3k7r5z9	34	5	model	model	NOUN
cord-155015-w3k7r5z9	34	6	on	on	ADP
cord-155015-w3k7r5z9	34	7	a	a	DET
cord-155015-w3k7r5z9	34	8	network	network	NOUN
cord-155015-w3k7r5z9	34	9	with	with	ADP
cord-155015-w3k7r5z9	34	10	edge	edge	NOUN
cord-155015-w3k7r5z9	34	11	occupancy	occupancy	NOUN
cord-155015-w3k7r5z9	34	12	t	t	PROPN
cord-155015-w3k7r5z9	34	13	=	=	SYM
cord-155015-w3k7r5z9	34	14	1−exp(−s	1−exp(−s	NUM
cord-155015-w3k7r5z9	34	15	th	th	X
cord-155015-w3k7r5z9	34	16	)	)	PUNCT
cord-155015-w3k7r5z9	35	1	[	[	X
cord-155015-w3k7r5z9	35	2	14	14	NUM
cord-155015-w3k7r5z9	35	3	]	]	PUNCT
cord-155015-w3k7r5z9	35	4	.	.	PUNCT
cord-155015-w3k7r5z9	36	1	a	a	DET
cord-155015-w3k7r5z9	36	2	utility	utility	NOUN
cord-155015-w3k7r5z9	36	3	function	function	NOUN
cord-155015-w3k7r5z9	36	4	,	,	PUNCT
cord-155015-w3k7r5z9	36	5	as	as	ADP
cord-155015-w3k7r5z9	36	6	all	all	DET
cord-155015-w3k7r5z9	36	7	other	other	ADJ
cord-155015-w3k7r5z9	36	8	parameters	parameter	NOUN
cord-155015-w3k7r5z9	36	9	of	of	ADP
cord-155015-w3k7r5z9	36	10	the	the	DET
cord-155015-w3k7r5z9	36	11	model	model	NOUN
cord-155015-w3k7r5z9	36	12	,	,	PUNCT
cord-155015-w3k7r5z9	36	13	depends	depend	VERB
cord-155015-w3k7r5z9	36	14	on	on	ADP
cord-155015-w3k7r5z9	36	15	network	network	NOUN
cord-155015-w3k7r5z9	36	16	topology	topology	NOUN
cord-155015-w3k7r5z9	36	17	and	and	CCONJ
cord-155015-w3k7r5z9	36	18	s	s	NOUN
cord-155015-w3k7r5z9	36	19	th	th	X
cord-155015-w3k7r5z9	36	20	.	.	PUNCT
cord-155015-w3k7r5z9	37	1	this	this	DET
cord-155015-w3k7r5z9	37	2	work	work	NOUN
cord-155015-w3k7r5z9	37	3	considers	consider	VERB
cord-155015-w3k7r5z9	37	4	only	only	ADV
cord-155015-w3k7r5z9	37	5	changes	change	NOUN
cord-155015-w3k7r5z9	37	6	in	in	ADP
cord-155015-w3k7r5z9	37	7	s	s	PROPN
cord-155015-w3k7r5z9	37	8	th	th	X
cord-155015-w3k7r5z9	37	9	.	.	PUNCT
cord-155015-w3k7r5z9	37	10	association	association	PROPN
cord-155015-w3k7r5z9	37	11	of	of	ADP
cord-155015-w3k7r5z9	37	12	social	social	ADJ
cord-155015-w3k7r5z9	37	13	distancing	distancing	NOUN
cord-155015-w3k7r5z9	37	14	transitions	transition	NOUN
cord-155015-w3k7r5z9	37	15	only	only	ADV
cord-155015-w3k7r5z9	37	16	with	with	ADP
cord-155015-w3k7r5z9	37	17	s	s	PRON
cord-155015-w3k7r5z9	37	18	th	th	PROPN
cord-155015-w3k7r5z9	37	19	is	be	AUX
cord-155015-w3k7r5z9	37	20	supported	support	VERB
cord-155015-w3k7r5z9	37	21	by	by	ADP
cord-155015-w3k7r5z9	37	22	the	the	DET
cord-155015-w3k7r5z9	37	23	fit	fit	NOUN
cord-155015-w3k7r5z9	37	24	of	of	ADP
cord-155015-w3k7r5z9	37	25	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	37	26	data	datum	NOUN
cord-155015-w3k7r5z9	37	27	.	.	PUNCT
cord-155015-w3k7r5z9	38	1	the	the	DET
cord-155015-w3k7r5z9	38	2	second	second	ADJ
cord-155015-w3k7r5z9	38	3	component	component	NOUN
cord-155015-w3k7r5z9	38	4	of	of	ADP
cord-155015-w3k7r5z9	38	5	the	the	DET
cord-155015-w3k7r5z9	38	6	utility	utility	NOUN
cord-155015-w3k7r5z9	38	7	function	function	NOUN
cord-155015-w3k7r5z9	38	8	comprises	comprise	VERB
cord-155015-w3k7r5z9	38	9	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	38	10	cost	cost	NOUN
cord-155015-w3k7r5z9	38	11	that	that	PRON
cord-155015-w3k7r5z9	38	12	favors	favor	VERB
cord-155015-w3k7r5z9	38	13	social	social	ADJ
cord-155015-w3k7r5z9	38	14	distancing	distancing	NOUN
cord-155015-w3k7r5z9	38	15	.	.	PUNCT
cord-155015-w3k7r5z9	39	1	in	in	ADP
cord-155015-w3k7r5z9	39	2	this	this	DET
cord-155015-w3k7r5z9	39	3	work	work	NOUN
cord-155015-w3k7r5z9	39	4	,	,	PUNCT
cord-155015-w3k7r5z9	39	5	this	this	DET
cord-155015-w3k7r5z9	39	6	cost	cost	NOUN
cord-155015-w3k7r5z9	39	7	corresponds	correspond	VERB
cord-155015-w3k7r5z9	39	8	to	to	ADP
cord-155015-w3k7r5z9	39	9	individual	individual	ADJ
cord-155015-w3k7r5z9	39	10	future	future	ADJ
cord-155015-w3k7r5z9	39	11	probability	probability	NOUN
cord-155015-w3k7r5z9	39	12	to	to	PART
cord-155015-w3k7r5z9	39	13	become	become	VERB
cord-155015-w3k7r5z9	39	14	sick	sick	ADJ
cord-155015-w3k7r5z9	39	15	.	.	PUNCT
cord-155015-w3k7r5z9	40	1	this	this	DET
cord-155015-w3k7r5z9	40	2	probability	probability	NOUN
cord-155015-w3k7r5z9	40	3	is	be	AUX
cord-155015-w3k7r5z9	40	4	proportional	proportional	ADJ
cord-155015-w3k7r5z9	40	5	to	to	ADP
cord-155015-w3k7r5z9	40	6	the	the	DET
cord-155015-w3k7r5z9	40	7	forward	forward	ADJ
cord-155015-w3k7r5z9	40	8	amount	amount	NOUN
cord-155015-w3k7r5z9	40	9	of	of	ADP
cord-155015-w3k7r5z9	40	10	infected	infect	VERB
cord-155015-w3k7r5z9	40	11	till	till	SCONJ
cord-155015-w3k7r5z9	40	12	the	the	DET
cord-155015-w3k7r5z9	40	13	end	end	NOUN
cord-155015-w3k7r5z9	40	14	of	of	ADP
cord-155015-w3k7r5z9	40	15	epidemic	epidemic	NOUN
cord-155015-w3k7r5z9	40	16	wave	wave	NOUN
cord-155015-w3k7r5z9	40	17	-final	-final	ADJ
cord-155015-w3k7r5z9	40	18	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	40	19	size	size	NOUN
cord-155015-w3k7r5z9	40	20	(	(	PUNCT
cord-155015-w3k7r5z9	40	21	fes	fes	NOUN
cord-155015-w3k7r5z9	40	22	)	)	PUNCT
cord-155015-w3k7r5z9	40	23	.	.	PUNCT
cord-155015-w3k7r5z9	41	1	an	an	DET
cord-155015-w3k7r5z9	41	2	important	important	ADJ
cord-155015-w3k7r5z9	41	3	contribution	contribution	NOUN
cord-155015-w3k7r5z9	41	4	of	of	ADP
cord-155015-w3k7r5z9	41	5	this	this	DET
cord-155015-w3k7r5z9	41	6	work	work	NOUN
cord-155015-w3k7r5z9	41	7	is	be	AUX
cord-155015-w3k7r5z9	41	8	an	an	DET
cord-155015-w3k7r5z9	41	9	analytical	analytical	ADJ
cord-155015-w3k7r5z9	41	10	presentation	presentation	NOUN
cord-155015-w3k7r5z9	41	11	of	of	ADP
cord-155015-w3k7r5z9	41	12	fes	fes	NOUN
cord-155015-w3k7r5z9	41	13	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	41	14	due	due	ADJ
cord-155015-w3k7r5z9	41	15	to	to	ADP
cord-155015-w3k7r5z9	41	16	basic	basic	ADJ
cord-155015-w3k7r5z9	41	17	reproductive	reproductive	ADJ
cord-155015-w3k7r5z9	41	18	number	number	NOUN
cord-155015-w3k7r5z9	41	19	with	with	ADP
cord-155015-w3k7r5z9	41	20	the	the	DET
cord-155015-w3k7r5z9	41	21	help	help	NOUN
cord-155015-w3k7r5z9	41	22	of	of	ADP
cord-155015-w3k7r5z9	41	23	lambert	lambert	PROPN
cord-155015-w3k7r5z9	41	24	w	w	PROPN
cord-155015-w3k7r5z9	41	25	function	function	NOUN
cord-155015-w3k7r5z9	41	26	[	[	PUNCT
cord-155015-w3k7r5z9	41	27	24	24	NUM
cord-155015-w3k7r5z9	41	28	]	]	PUNCT
cord-155015-w3k7r5z9	41	29	[	[	X
cord-155015-w3k7r5z9	41	30	25	25	NUM
cord-155015-w3k7r5z9	41	31	]	]	PUNCT
cord-155015-w3k7r5z9	41	32	[	[	X
cord-155015-w3k7r5z9	41	33	26	26	NUM
cord-155015-w3k7r5z9	41	34	]	]	PUNCT
cord-155015-w3k7r5z9	41	35	.	.	PUNCT
cord-155015-w3k7r5z9	42	1	the	the	DET
cord-155015-w3k7r5z9	42	2	work	work	NOUN
cord-155015-w3k7r5z9	42	3	proceeds	proceed	VERB
cord-155015-w3k7r5z9	42	4	with	with	ADP
cord-155015-w3k7r5z9	42	5	the	the	DET
cord-155015-w3k7r5z9	42	6	presentation	presentation	NOUN
cord-155015-w3k7r5z9	42	7	of	of	ADP
cord-155015-w3k7r5z9	42	8	the	the	DET
cord-155015-w3k7r5z9	42	9	sir	sir	PROPN
cord-155015-w3k7r5z9	42	10	model	model	NOUN
cord-155015-w3k7r5z9	42	11	with	with	ADP
cord-155015-w3k7r5z9	42	12	induced	induced	ADJ
cord-155015-w3k7r5z9	42	13	transitions	transition	NOUN
cord-155015-w3k7r5z9	42	14	(	(	PUNCT
cord-155015-w3k7r5z9	42	15	sirit	sirit	NOUN
cord-155015-w3k7r5z9	42	16	)	)	PUNCT
cord-155015-w3k7r5z9	42	17	,	,	PUNCT
cord-155015-w3k7r5z9	42	18	almost	almost	ADV
cord-155015-w3k7r5z9	42	19	analytical	analytical	ADJ
cord-155015-w3k7r5z9	42	20	treatment	treatment	NOUN
cord-155015-w3k7r5z9	42	21	of	of	ADP
cord-155015-w3k7r5z9	42	22	this	this	DET
cord-155015-w3k7r5z9	42	23	model	model	NOUN
cord-155015-w3k7r5z9	42	24	,	,	PUNCT
cord-155015-w3k7r5z9	42	25	the	the	DET
cord-155015-w3k7r5z9	42	26	calibration	calibration	NOUN
cord-155015-w3k7r5z9	42	27	of	of	ADP
cord-155015-w3k7r5z9	42	28	an	an	DET
cord-155015-w3k7r5z9	42	29	epidemic	epidemic	NOUN
cord-155015-w3k7r5z9	42	30	and	and	CCONJ
cord-155015-w3k7r5z9	42	31	economy	economy	NOUN
cord-155015-w3k7r5z9	42	32	parameters	parameter	NOUN
cord-155015-w3k7r5z9	42	33	of	of	ADP
cord-155015-w3k7r5z9	42	34	the	the	DET
cord-155015-w3k7r5z9	42	35	model	model	NOUN
cord-155015-w3k7r5z9	42	36	using	use	VERB
cord-155015-w3k7r5z9	42	37	time	time	NOUN
cord-155015-w3k7r5z9	42	38	series	series	NOUN
cord-155015-w3k7r5z9	42	39	of	of	ADP
cord-155015-w3k7r5z9	42	40	active	active	ADJ
cord-155015-w3k7r5z9	42	41	cases	case	NOUN
cord-155015-w3k7r5z9	42	42	and	and	CCONJ
cord-155015-w3k7r5z9	42	43	causalities	causality	NOUN
cord-155015-w3k7r5z9	42	44	during	during	ADP
cord-155015-w3k7r5z9	42	45	the	the	DET
cord-155015-w3k7r5z9	42	46	1st	1st	ADJ
cord-155015-w3k7r5z9	42	47	wave	wave	NOUN
cord-155015-w3k7r5z9	42	48	of	of	ADP
cord-155015-w3k7r5z9	42	49	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	42	50	in	in	ADP
cord-155015-w3k7r5z9	42	51	austria	austria	PROPN
cord-155015-w3k7r5z9	42	52	,	,	PUNCT
cord-155015-w3k7r5z9	42	53	israel	israel	PROPN
cord-155015-w3k7r5z9	42	54	,	,	PUNCT
cord-155015-w3k7r5z9	42	55	and	and	CCONJ
cord-155015-w3k7r5z9	42	56	germany	germany	PROPN
cord-155015-w3k7r5z9	42	57	,	,	PUNCT
cord-155015-w3k7r5z9	42	58	followed	follow	VERB
cord-155015-w3k7r5z9	42	59	by	by	ADP
cord-155015-w3k7r5z9	42	60	a	a	DET
cord-155015-w3k7r5z9	42	61	discussion	discussion	NOUN
cord-155015-w3k7r5z9	42	62	of	of	ADP
cord-155015-w3k7r5z9	42	63	obtained	obtain	VERB
cord-155015-w3k7r5z9	42	64	results	result	NOUN
cord-155015-w3k7r5z9	42	65	and	and	CCONJ
cord-155015-w3k7r5z9	42	66	their	their	PRON
cord-155015-w3k7r5z9	42	67	implications	implication	NOUN
cord-155015-w3k7r5z9	42	68	.	.	PUNCT
cord-155015-w3k7r5z9	43	1	classical	classical	ADJ
cord-155015-w3k7r5z9	43	2	sir	sir	PROPN
cord-155015-w3k7r5z9	43	3	model	model	NOUN
cord-155015-w3k7r5z9	43	4	separates	separate	VERB
cord-155015-w3k7r5z9	43	5	the	the	DET
cord-155015-w3k7r5z9	43	6	population	population	NOUN
cord-155015-w3k7r5z9	43	7	in	in	ADP
cord-155015-w3k7r5z9	43	8	three	three	NUM
cord-155015-w3k7r5z9	43	9	compartments	compartment	NOUN
cord-155015-w3k7r5z9	43	10	:	:	PUNCT
cord-155015-w3k7r5z9	43	11	s	s	X
cord-155015-w3k7r5z9	43	12	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	43	13	,	,	PUNCT
cord-155015-w3k7r5z9	43	14	i	i	PRON
cord-155015-w3k7r5z9	43	15	infected	infect	VERB
cord-155015-w3k7r5z9	43	16	and	and	CCONJ
cord-155015-w3k7r5z9	43	17	r	r	NOUN
cord-155015-w3k7r5z9	43	18	recovered	recover	VERB
cord-155015-w3k7r5z9	43	19	.	.	PUNCT
cord-155015-w3k7r5z9	44	1	the	the	DET
cord-155015-w3k7r5z9	44	2	flux	flux	NOUN
cord-155015-w3k7r5z9	44	3	between	between	ADP
cord-155015-w3k7r5z9	44	4	compartments	compartment	NOUN
cord-155015-w3k7r5z9	44	5	goes	go	VERB
cord-155015-w3k7r5z9	44	6	in	in	ADP
cord-155015-w3k7r5z9	44	7	the	the	DET
cord-155015-w3k7r5z9	44	8	order	order	NOUN
cord-155015-w3k7r5z9	44	9	s	s	X
cord-155015-w3k7r5z9	44	10	→	→	SYM
cord-155015-w3k7r5z9	44	11	i	i	NOUN
cord-155015-w3k7r5z9	44	12	→	→	SYM
cord-155015-w3k7r5z9	44	13	r	r	X
cord-155015-w3k7r5z9	44	14	since	since	SCONJ
cord-155015-w3k7r5z9	44	15	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	44	16	becomes	becomes	AUX
cord-155015-w3k7r5z9	44	17	infected	infect	VERB
cord-155015-w3k7r5z9	44	18	at	at	ADP
cord-155015-w3k7r5z9	44	19	frequency	frequency	NOUN
cord-155015-w3k7r5z9	44	20	β	β	PROPN
cord-155015-w3k7r5z9	44	21	−1	−1	NOUN
cord-155015-w3k7r5z9	44	22	during	during	ADP
cord-155015-w3k7r5z9	44	23	an	an	DET
cord-155015-w3k7r5z9	44	24	encounter	encounter	NOUN
cord-155015-w3k7r5z9	44	25	with	with	ADP
cord-155015-w3k7r5z9	44	26	an	an	DET
cord-155015-w3k7r5z9	44	27	infected	infect	VERB
cord-155015-w3k7r5z9	44	28	one	one	NUM
cord-155015-w3k7r5z9	44	29	.	.	PUNCT
cord-155015-w3k7r5z9	45	1	infected	infect	VERB
cord-155015-w3k7r5z9	45	2	becomes	becomes	AUX
cord-155015-w3k7r5z9	45	3	recovered	recover	VERB
cord-155015-w3k7r5z9	45	4	after	after	ADP
cord-155015-w3k7r5z9	45	5	time	time	NOUN
cord-155015-w3k7r5z9	45	6	γ	γ	PRON
cord-155015-w3k7r5z9	45	7	−1	−1	NOUN
cord-155015-w3k7r5z9	45	8	on	on	ADP
cord-155015-w3k7r5z9	45	9	average	average	ADJ
cord-155015-w3k7r5z9	45	10	.	.	PUNCT
cord-155015-w3k7r5z9	46	1	the	the	DET
cord-155015-w3k7r5z9	46	2	population	population	NOUN
cord-155015-w3k7r5z9	46	3	is	be	AUX
cord-155015-w3k7r5z9	46	4	well	well	ADV
cord-155015-w3k7r5z9	46	5	mixed	mixed	ADJ
cord-155015-w3k7r5z9	46	6	and	and	CCONJ
cord-155015-w3k7r5z9	46	7	sustains	sustain	VERB
cord-155015-w3k7r5z9	46	8	the	the	DET
cord-155015-w3k7r5z9	46	9	gas	gas	NOUN
cord-155015-w3k7r5z9	46	10	-	-	PUNCT
cord-155015-w3k7r5z9	46	11	like	like	ADJ
cord-155015-w3k7r5z9	46	12	interaction	interaction	NOUN
cord-155015-w3k7r5z9	46	13	of	of	ADP
cord-155015-w3k7r5z9	46	14	its	its	PRON
cord-155015-w3k7r5z9	46	15	members	member	NOUN
cord-155015-w3k7r5z9	46	16	.	.	PUNCT
cord-155015-w3k7r5z9	47	1	during	during	ADP
cord-155015-w3k7r5z9	47	2	covid-19	covid-19	NUM
cord-155015-w3k7r5z9	47	3	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	47	4	,	,	PUNCT
cord-155015-w3k7r5z9	47	5	daily	daily	ADJ
cord-155015-w3k7r5z9	47	6	worldwide	worldwide	ADJ
cord-155015-w3k7r5z9	47	7	reports	report	NOUN
cord-155015-w3k7r5z9	47	8	[	[	X
cord-155015-w3k7r5z9	47	9	27	27	NUM
cord-155015-w3k7r5z9	47	10	]	]	PUNCT
cord-155015-w3k7r5z9	47	11	include	include	VERB
cord-155015-w3k7r5z9	47	12	active	active	ADJ
cord-155015-w3k7r5z9	47	13	cases	case	NOUN
cord-155015-w3k7r5z9	47	14	and	and	CCONJ
cord-155015-w3k7r5z9	47	15	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	47	16	deaths	death	NOUN
cord-155015-w3k7r5z9	47	17	.	.	PUNCT
cord-155015-w3k7r5z9	48	1	active	active	ADJ
cord-155015-w3k7r5z9	48	2	cases	case	NOUN
cord-155015-w3k7r5z9	48	3	are	be	AUX
cord-155015-w3k7r5z9	48	4	detected	detect	VERB
cord-155015-w3k7r5z9	48	5	infected	infect	VERB
cord-155015-w3k7r5z9	48	6	,	,	PUNCT
cord-155015-w3k7r5z9	48	7	which	which	PRON
cord-155015-w3k7r5z9	48	8	are	be	AUX
cord-155015-w3k7r5z9	48	9	a	a	DET
cord-155015-w3k7r5z9	48	10	fraction	fraction	NOUN
cord-155015-w3k7r5z9	48	11	of	of	ADP
cord-155015-w3k7r5z9	48	12	the	the	DET
cord-155015-w3k7r5z9	48	13	total	total	NOUN
cord-155015-w3k7r5z9	48	14	infected	infect	VERB
cord-155015-w3k7r5z9	48	15	.	.	PUNCT
cord-155015-w3k7r5z9	49	1	thus	thus	ADV
cord-155015-w3k7r5z9	49	2	in	in	ADP
cord-155015-w3k7r5z9	49	3	this	this	DET
cord-155015-w3k7r5z9	49	4	work	work	NOUN
cord-155015-w3k7r5z9	49	5	,	,	PUNCT
cord-155015-w3k7r5z9	49	6	we	we	PRON
cord-155015-w3k7r5z9	49	7	redefine	redefine	VERB
cord-155015-w3k7r5z9	49	8	i	i	PRON
cord-155015-w3k7r5z9	49	9	as	as	ADP
cord-155015-w3k7r5z9	49	10	active	active	ADJ
cord-155015-w3k7r5z9	49	11	cases	case	NOUN
cord-155015-w3k7r5z9	49	12	,	,	PUNCT
cord-155015-w3k7r5z9	49	13	and	and	CCONJ
cord-155015-w3k7r5z9	49	14	instead	instead	ADV
cord-155015-w3k7r5z9	49	15	of	of	ADP
cord-155015-w3k7r5z9	49	16	recovered	recover	VERB
cord-155015-w3k7r5z9	49	17	r	r	NOUN
cord-155015-w3k7r5z9	49	18	will	will	AUX
cord-155015-w3k7r5z9	49	19	use	use	VERB
cord-155015-w3k7r5z9	49	20	deceased	decease	VERB
cord-155015-w3k7r5z9	49	21	d	d	PROPN
cord-155015-w3k7r5z9	49	22	=	=	X
cord-155015-w3k7r5z9	49	23	m	m	VERB
cord-155015-w3k7r5z9	49	24	r	r	NOUN
cord-155015-w3k7r5z9	49	25	,	,	PUNCT
cord-155015-w3k7r5z9	49	26	where	where	SCONJ
cord-155015-w3k7r5z9	49	27	m	m	VERB
cord-155015-w3k7r5z9	49	28	is	be	AUX
cord-155015-w3k7r5z9	49	29	infected	infect	VERB
cord-155015-w3k7r5z9	49	30	fatality	fatality	NOUN
cord-155015-w3k7r5z9	49	31	rate	rate	NOUN
cord-155015-w3k7r5z9	49	32	(	(	PUNCT
cord-155015-w3k7r5z9	49	33	ifr	ifr	ADV
cord-155015-w3k7r5z9	49	34	)	)	PUNCT
cord-155015-w3k7r5z9	49	35	.	.	PUNCT
cord-155015-w3k7r5z9	50	1	ifr	ifr	PROPN
cord-155015-w3k7r5z9	50	2	is	be	AUX
cord-155015-w3k7r5z9	50	3	an	an	DET
cord-155015-w3k7r5z9	50	4	average	average	ADJ
cord-155015-w3k7r5z9	50	5	probability	probability	NOUN
cord-155015-w3k7r5z9	50	6	of	of	ADP
cord-155015-w3k7r5z9	50	7	an	an	DET
cord-155015-w3k7r5z9	50	8	infected	infected	ADJ
cord-155015-w3k7r5z9	50	9	to	to	PART
cord-155015-w3k7r5z9	50	10	die	die	VERB
cord-155015-w3k7r5z9	50	11	(	(	PUNCT
cord-155015-w3k7r5z9	50	12	for	for	ADP
cord-155015-w3k7r5z9	50	13	instance	instance	NOUN
cord-155015-w3k7r5z9	50	14	,	,	PUNCT
cord-155015-w3k7r5z9	50	15	reported	report	VERB
cord-155015-w3k7r5z9	50	16	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	50	17	ifr	ifr	ADV
cord-155015-w3k7r5z9	50	18	in	in	ADP
cord-155015-w3k7r5z9	50	19	germany	germany	PROPN
cord-155015-w3k7r5z9	50	20	m	m	PROPN
cord-155015-w3k7r5z9	50	21	≈	≈	PROPN
cord-155015-w3k7r5z9	50	22	0.37	0.37	NUM
cord-155015-w3k7r5z9	50	23	%	%	NOUN
cord-155015-w3k7r5z9	50	24	[	[	PUNCT
cord-155015-w3k7r5z9	50	25	28	28	NUM
cord-155015-w3k7r5z9	50	26	]	]	PUNCT
cord-155015-w3k7r5z9	50	27	)	)	PUNCT
cord-155015-w3k7r5z9	50	28	.	.	PUNCT
cord-155015-w3k7r5z9	51	1	here	here	ADV
cord-155015-w3k7r5z9	51	2	are	be	AUX
cord-155015-w3k7r5z9	51	3	sir	sir	PROPN
cord-155015-w3k7r5z9	51	4	equations	equation	NOUN
cord-155015-w3k7r5z9	51	5	modified	modify	VERB
cord-155015-w3k7r5z9	51	6	to	to	ADP
cord-155015-w3k7r5z9	51	7	this	this	DET
cord-155015-w3k7r5z9	51	8	work	work	NOUN
cord-155015-w3k7r5z9	51	9	:	:	PUNCT
cord-155015-w3k7r5z9	51	10	where	where	SCONJ
cord-155015-w3k7r5z9	51	11	i	i	PRON
cord-155015-w3k7r5z9	51	12	is	be	AUX
cord-155015-w3k7r5z9	51	13	reported	report	VERB
cord-155015-w3k7r5z9	51	14	absolute	absolute	ADJ
cord-155015-w3k7r5z9	51	15	amount	amount	NOUN
cord-155015-w3k7r5z9	51	16	of	of	ADP
cord-155015-w3k7r5z9	51	17	active	active	ADJ
cord-155015-w3k7r5z9	51	18	cases	case	NOUN
cord-155015-w3k7r5z9	51	19	[	[	PUNCT
cord-155015-w3k7r5z9	51	20	27	27	NUM
cord-155015-w3k7r5z9	51	21	]	]	PUNCT
cord-155015-w3k7r5z9	51	22	,	,	PUNCT
cord-155015-w3k7r5z9	51	23	a	a	DET
cord-155015-w3k7r5z9	51	24	′	′	NOUN
cord-155015-w3k7r5z9	51	25	is	be	AUX
cord-155015-w3k7r5z9	51	26	a	a	DET
cord-155015-w3k7r5z9	51	27	ratio	ratio	NOUN
cord-155015-w3k7r5z9	51	28	between	between	ADP
cord-155015-w3k7r5z9	51	29	actual	actual	ADJ
cord-155015-w3k7r5z9	51	30	and	and	CCONJ
cord-155015-w3k7r5z9	51	31	reported	report	VERB
cord-155015-w3k7r5z9	51	32	active	active	ADJ
cord-155015-w3k7r5z9	51	33	cases	case	NOUN
cord-155015-w3k7r5z9	51	34	,	,	PUNCT
cord-155015-w3k7r5z9	51	35	n	n	ADV
cord-155015-w3k7r5z9	51	36	is	be	AUX
cord-155015-w3k7r5z9	51	37	the	the	DET
cord-155015-w3k7r5z9	51	38	population	population	NOUN
cord-155015-w3k7r5z9	51	39	size	size	NOUN
cord-155015-w3k7r5z9	51	40	,	,	PUNCT
cord-155015-w3k7r5z9	52	1	0	0	NUM
cord-155015-w3k7r5z9	52	2	<	<	X
cord-155015-w3k7r5z9	52	3	s	s	X
cord-155015-w3k7r5z9	52	4	<	<	X
cord-155015-w3k7r5z9	53	1	1	1	NUM
cord-155015-w3k7r5z9	53	2	is	be	AUX
cord-155015-w3k7r5z9	53	3	the	the	DET
cord-155015-w3k7r5z9	53	4	normalized	normalized	ADJ
cord-155015-w3k7r5z9	53	5	(	(	PUNCT
cord-155015-w3k7r5z9	53	6	s	s	PROPN
cord-155015-w3k7r5z9	53	7	=	=	X
cord-155015-w3k7r5z9	53	8	s	s	NOUN
cord-155015-w3k7r5z9	53	9	n	n	SYM
cord-155015-w3k7r5z9	53	10	)	)	PUNCT
cord-155015-w3k7r5z9	53	11	amount	amount	NOUN
cord-155015-w3k7r5z9	53	12	of	of	ADP
cord-155015-w3k7r5z9	53	13	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	53	14	and	and	CCONJ
cord-155015-w3k7r5z9	53	15	d	d	VERB
cord-155015-w3k7r5z9	53	16	are	be	AUX
cord-155015-w3k7r5z9	53	17	reported	report	VERB
cord-155015-w3k7r5z9	53	18	deaths	death	NOUN
cord-155015-w3k7r5z9	53	19	due	due	ADP
cord-155015-w3k7r5z9	53	20	to	to	ADP
cord-155015-w3k7r5z9	53	21	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	53	22	.	.	PUNCT
cord-155015-w3k7r5z9	54	1	when	when	SCONJ
cord-155015-w3k7r5z9	54	2	population	population	NOUN
cord-155015-w3k7r5z9	54	3	size	size	NOUN
cord-155015-w3k7r5z9	54	4	n	n	ADV
cord-155015-w3k7r5z9	54	5	and	and	CCONJ
cord-155015-w3k7r5z9	54	6	a	a	DET
cord-155015-w3k7r5z9	54	7	′	′	NOUN
cord-155015-w3k7r5z9	54	8	remain	remain	VERB
cord-155015-w3k7r5z9	54	9	constant	constant	ADJ
cord-155015-w3k7r5z9	54	10	it	it	PRON
cord-155015-w3k7r5z9	54	11	is	be	AUX
cord-155015-w3k7r5z9	54	12	convenient	convenient	ADJ
cord-155015-w3k7r5z9	54	13	to	to	PART
cord-155015-w3k7r5z9	54	14	unite	unite	VERB
cord-155015-w3k7r5z9	54	15	them	they	PRON
cord-155015-w3k7r5z9	54	16	into	into	ADP
cord-155015-w3k7r5z9	54	17	a	a	DET
cord-155015-w3k7r5z9	54	18	single	single	ADJ
cord-155015-w3k7r5z9	54	19	pathe	pathe	NOUN
cord-155015-w3k7r5z9	54	20	parameter	parameter	NOUN
cord-155015-w3k7r5z9	54	21	s	s	PROPN
cord-155015-w3k7r5z9	55	1	th	th	PROPN
cord-155015-w3k7r5z9	55	2	represents	represent	VERB
cord-155015-w3k7r5z9	55	3	social	social	ADJ
cord-155015-w3k7r5z9	55	4	distancing	distancing	NOUN
cord-155015-w3k7r5z9	55	5	in	in	ADP
cord-155015-w3k7r5z9	55	6	this	this	DET
cord-155015-w3k7r5z9	55	7	work	work	NOUN
cord-155015-w3k7r5z9	55	8	.	.	PUNCT
cord-155015-w3k7r5z9	56	1	it	it	PRON
cord-155015-w3k7r5z9	56	2	also	also	ADV
cord-155015-w3k7r5z9	56	3	represents	represent	VERB
cord-155015-w3k7r5z9	56	4	a	a	DET
cord-155015-w3k7r5z9	56	5	threshold	threshold	NOUN
cord-155015-w3k7r5z9	56	6	value	value	NOUN
cord-155015-w3k7r5z9	56	7	to	to	ADP
cord-155015-w3k7r5z9	56	8	ratio	ratio	NOUN
cord-155015-w3k7r5z9	56	9	of	of	ADP
cord-155015-w3k7r5z9	56	10	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	56	11	in	in	ADP
cord-155015-w3k7r5z9	56	12	population	population	NOUN
cord-155015-w3k7r5z9	56	13	:	:	PUNCT
cord-155015-w3k7r5z9	56	14	number	number	NOUN
cord-155015-w3k7r5z9	56	15	of	of	ADP
cord-155015-w3k7r5z9	56	16	infected	infect	VERB
cord-155015-w3k7r5z9	56	17	growths	growth	NOUN
cord-155015-w3k7r5z9	56	18	when	when	SCONJ
cord-155015-w3k7r5z9	56	19	s	s	PROPN
cord-155015-w3k7r5z9	56	20	>	>	X
cord-155015-w3k7r5z9	56	21	s	s	PROPN
cord-155015-w3k7r5z9	56	22	th	th	X
cord-155015-w3k7r5z9	56	23	and	and	CCONJ
cord-155015-w3k7r5z9	56	24	reduces	reduce	VERB
cord-155015-w3k7r5z9	56	25	when	when	SCONJ
cord-155015-w3k7r5z9	56	26	s	s	PROPN
cord-155015-w3k7r5z9	56	27	<	<	X
cord-155015-w3k7r5z9	56	28	s	s	X
cord-155015-w3k7r5z9	56	29	th	th	X
cord-155015-w3k7r5z9	56	30	.	.	PUNCT
cord-155015-w3k7r5z9	57	1	besides	besides	SCONJ
cord-155015-w3k7r5z9	57	2	s	s	PROPN
cord-155015-w3k7r5z9	57	3	th	th	X
cord-155015-w3k7r5z9	57	4	=	=	SYM
cord-155015-w3k7r5z9	57	5	1	1	NUM
cord-155015-w3k7r5z9	57	6	/	/	SYM
cord-155015-w3k7r5z9	57	7	r	r	NOUN
cord-155015-w3k7r5z9	57	8	,	,	PUNCT
cord-155015-w3k7r5z9	57	9	where	where	SCONJ
cord-155015-w3k7r5z9	57	10	r	r	NOUN
cord-155015-w3k7r5z9	57	11	=	=	X
cord-155015-w3k7r5z9	57	12	β	β	NOUN
cord-155015-w3k7r5z9	57	13	/	/	PUNCT
cord-155015-w3k7r5z9	57	14	γ	γ	SYM
cord-155015-w3k7r5z9	57	15	is	be	AUX
cord-155015-w3k7r5z9	57	16	basic	basic	ADJ
cord-155015-w3k7r5z9	57	17	reproduction	reproduction	NOUN
cord-155015-w3k7r5z9	57	18	number	number	NOUN
cord-155015-w3k7r5z9	57	19	.	.	PUNCT
cord-155015-w3k7r5z9	58	1	in	in	ADP
cord-155015-w3k7r5z9	58	2	this	this	DET
cord-155015-w3k7r5z9	58	3	work	work	NOUN
cord-155015-w3k7r5z9	58	4	s	s	PRON
cord-155015-w3k7r5z9	58	5	th	th	X
cord-155015-w3k7r5z9	58	6	changes	change	NOUN
cord-155015-w3k7r5z9	58	7	with	with	ADP
cord-155015-w3k7r5z9	58	8	time	time	NOUN
cord-155015-w3k7r5z9	58	9	according	accord	VERB
cord-155015-w3k7r5z9	58	10	to	to	ADP
cord-155015-w3k7r5z9	58	11	utility	utility	NOUN
cord-155015-w3k7r5z9	58	12	function	function	NOUN
cord-155015-w3k7r5z9	58	13	u	u	PROPN
cord-155015-w3k7r5z9	58	14	(	(	PUNCT
cord-155015-w3k7r5z9	58	15	s	s	NOUN
cord-155015-w3k7r5z9	58	16	th	th	X
cord-155015-w3k7r5z9	58	17	)	)	PUNCT
cord-155015-w3k7r5z9	58	18	.	.	PUNCT
cord-155015-w3k7r5z9	59	1	at	at	ADP
cord-155015-w3k7r5z9	59	2	each	each	DET
cord-155015-w3k7r5z9	59	3	moment	moment	NOUN
cord-155015-w3k7r5z9	59	4	t	t	VERB
cord-155015-w3k7r5z9	59	5	the	the	DET
cord-155015-w3k7r5z9	59	6	value	value	NOUN
cord-155015-w3k7r5z9	59	7	of	of	ADP
cord-155015-w3k7r5z9	59	8	s	s	PROPN
cord-155015-w3k7r5z9	59	9	current	current	ADJ
cord-155015-w3k7r5z9	59	10	th	th	X
cord-155015-w3k7r5z9	59	11	changes	change	NOUN
cord-155015-w3k7r5z9	59	12	if	if	SCONJ
cord-155015-w3k7r5z9	59	13	there	there	PRON
cord-155015-w3k7r5z9	59	14	exists	exist	VERB
cord-155015-w3k7r5z9	59	15	s	s	PART
cord-155015-w3k7r5z9	59	16	new	new	ADJ
cord-155015-w3k7r5z9	59	17	th	th	X
cord-155015-w3k7r5z9	59	18	such	such	ADJ
cord-155015-w3k7r5z9	59	19	that	that	PRON
cord-155015-w3k7r5z9	59	20	:	:	PUNCT
cord-155015-w3k7r5z9	59	21	the	the	DET
cord-155015-w3k7r5z9	59	22	utility	utility	NOUN
cord-155015-w3k7r5z9	59	23	function	function	NOUN
cord-155015-w3k7r5z9	59	24	consists	consist	VERB
cord-155015-w3k7r5z9	59	25	of	of	ADP
cord-155015-w3k7r5z9	59	26	two	two	NUM
cord-155015-w3k7r5z9	59	27	parts	part	NOUN
cord-155015-w3k7r5z9	59	28	that	that	PRON
cord-155015-w3k7r5z9	59	29	represent	represent	VERB
cord-155015-w3k7r5z9	59	30	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	59	31	cost	cost	NOUN
cord-155015-w3k7r5z9	59	32	c	c	NOUN
cord-155015-w3k7r5z9	59	33	and	and	CCONJ
cord-155015-w3k7r5z9	59	34	economy	economy	NOUN
cord-155015-w3k7r5z9	59	35	gain	gain	NOUN
cord-155015-w3k7r5z9	59	36	g	g	PRON
cord-155015-w3k7r5z9	59	37	:	:	PUNCT
cord-155015-w3k7r5z9	59	38	where	where	SCONJ
cord-155015-w3k7r5z9	59	39	c	c	PROPN
cord-155015-w3k7r5z9	59	40	is	be	AUX
cord-155015-w3k7r5z9	59	41	proportion	proportion	NOUN
cord-155015-w3k7r5z9	59	42	to	to	ADP
cord-155015-w3k7r5z9	59	43	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	59	44	size	size	NOUN
cord-155015-w3k7r5z9	59	45	fes	fes	NOUN
cord-155015-w3k7r5z9	60	1	[	[	PUNCT
cord-155015-w3k7r5z9	60	2	15	15	NUM
cord-155015-w3k7r5z9	60	3	,	,	PUNCT
cord-155015-w3k7r5z9	60	4	29	29	NUM
cord-155015-w3k7r5z9	60	5	]	]	PUNCT
cord-155015-w3k7r5z9	60	6	:	:	PUNCT
cord-155015-w3k7r5z9	60	7	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	60	8	cost	cost	VERB
cord-155015-w3k7r5z9	60	9	changes	change	NOUN
cord-155015-w3k7r5z9	60	10	with	with	ADP
cord-155015-w3k7r5z9	60	11	time	time	NOUN
cord-155015-w3k7r5z9	60	12	as	as	SCONJ
cord-155015-w3k7r5z9	60	13	population	population	NOUN
cord-155015-w3k7r5z9	60	14	advances	advance	VERB
cord-155015-w3k7r5z9	60	15	in	in	ADP
cord-155015-w3k7r5z9	60	16	(	(	PUNCT
cord-155015-w3k7r5z9	60	17	s	s	PROPN
cord-155015-w3k7r5z9	60	18	,	,	PUNCT
cord-155015-w3k7r5z9	60	19	i	i	NOUN
cord-155015-w3k7r5z9	60	20	)	)	PUNCT
cord-155015-w3k7r5z9	60	21	space	space	NOUN
cord-155015-w3k7r5z9	60	22	.	.	PUNCT
cord-155015-w3k7r5z9	61	1	economy	economy	NOUN
cord-155015-w3k7r5z9	61	2	gain	gain	NOUN
cord-155015-w3k7r5z9	61	3	is	be	AUX
cord-155015-w3k7r5z9	61	4	some	some	DET
cord-155015-w3k7r5z9	61	5	general	general	ADJ
cord-155015-w3k7r5z9	61	6	function	function	NOUN
cord-155015-w3k7r5z9	61	7	g(s	g(s	PROPN
cord-155015-w3k7r5z9	61	8	th	th	X
cord-155015-w3k7r5z9	61	9	)	)	PUNCT
cord-155015-w3k7r5z9	61	10	.	.	PUNCT
cord-155015-w3k7r5z9	62	1	let	let	VERB
cord-155015-w3k7r5z9	62	2	us	we	PRON
cord-155015-w3k7r5z9	62	3	expand	expand	VERB
cord-155015-w3k7r5z9	62	4	economy	economy	NOUN
cord-155015-w3k7r5z9	62	5	gain	gain	NOUN
cord-155015-w3k7r5z9	62	6	in	in	ADP
cord-155015-w3k7r5z9	62	7	taylor	taylor	PROPN
cord-155015-w3k7r5z9	62	8	series	series	PROPN
cord-155015-w3k7r5z9	62	9	around	around	ADP
cord-155015-w3k7r5z9	62	10	s	s	PART
cord-155015-w3k7r5z9	62	11	current	current	ADJ
cord-155015-w3k7r5z9	62	12	th	th	X
cord-155015-w3k7r5z9	62	13	:	:	PUNCT
cord-155015-w3k7r5z9	62	14	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	62	15	cost	cost	PROPN
cord-155015-w3k7r5z9	62	16	c	c	PROPN
cord-155015-w3k7r5z9	62	17	is	be	AUX
cord-155015-w3k7r5z9	62	18	expanded	expand	VERB
cord-155015-w3k7r5z9	62	19	in	in	ADP
cord-155015-w3k7r5z9	62	20	taylor	taylor	PROPN
cord-155015-w3k7r5z9	62	21	series	series	NOUN
cord-155015-w3k7r5z9	62	22	of	of	ADP
cord-155015-w3k7r5z9	62	23	the	the	DET
cord-155015-w3k7r5z9	62	24	third	third	ADJ
cord-155015-w3k7r5z9	62	25	order	order	NOUN
cord-155015-w3k7r5z9	62	26	:	:	PUNCT
cord-155015-w3k7r5z9	63	1	coefficients	coefficient	VERB
cord-155015-w3k7r5z9	63	2	a	a	PROPN
cord-155015-w3k7r5z9	63	3	,	,	PUNCT
cord-155015-w3k7r5z9	63	4	b	b	PROPN
cord-155015-w3k7r5z9	63	5	,	,	PUNCT
cord-155015-w3k7r5z9	63	6	c	c	NOUN
cord-155015-w3k7r5z9	63	7	(	(	PUNCT
cord-155015-w3k7r5z9	63	8	as	as	SCONJ
cord-155015-w3k7r5z9	63	9	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	63	10	cost	cost	VERB
cord-155015-w3k7r5z9	63	11	itself	itself	PRON
cord-155015-w3k7r5z9	63	12	(	(	PUNCT
cord-155015-w3k7r5z9	63	13	4	4	NUM
cord-155015-w3k7r5z9	63	14	)	)	PUNCT
cord-155015-w3k7r5z9	63	15	)	)	PUNCT
cord-155015-w3k7r5z9	63	16	depend	depend	VERB
cord-155015-w3k7r5z9	63	17	on	on	ADP
cord-155015-w3k7r5z9	63	18	s	s	PROPN
cord-155015-w3k7r5z9	63	19	ht	ht	PROPN
cord-155015-w3k7r5z9	63	20	,	,	PUNCT
cord-155015-w3k7r5z9	63	21	s	s	PROPN
cord-155015-w3k7r5z9	63	22	,	,	PUNCT
cord-155015-w3k7r5z9	63	23	i.	i.	PROPN
cord-155015-w3k7r5z9	63	24	expansion	expansion	NOUN
cord-155015-w3k7r5z9	63	25	of	of	ADP
cord-155015-w3k7r5z9	63	26	the	the	DET
cord-155015-w3k7r5z9	63	27	third	third	ADJ
cord-155015-w3k7r5z9	63	28	order	order	NOUN
cord-155015-w3k7r5z9	63	29	,	,	PUNCT
cord-155015-w3k7r5z9	63	30	unlike	unlike	ADP
cord-155015-w3k7r5z9	63	31	the	the	DET
cord-155015-w3k7r5z9	63	32	second	second	ADJ
cord-155015-w3k7r5z9	63	33	order	order	NOUN
cord-155015-w3k7r5z9	63	34	in	in	ADP
cord-155015-w3k7r5z9	63	35	(	(	PUNCT
cord-155015-w3k7r5z9	63	36	5	5	NUM
cord-155015-w3k7r5z9	63	37	)	)	PUNCT
cord-155015-w3k7r5z9	63	38	,	,	PUNCT
cord-155015-w3k7r5z9	63	39	required	require	VERB
cord-155015-w3k7r5z9	63	40	due	due	ADP
cord-155015-w3k7r5z9	63	41	to	to	ADP
cord-155015-w3k7r5z9	63	42	non	non	ADJ
cord-155015-w3k7r5z9	63	43	-	-	ADJ
cord-155015-w3k7r5z9	63	44	linear	linear	ADJ
cord-155015-w3k7r5z9	63	45	behavior	behavior	NOUN
cord-155015-w3k7r5z9	63	46	of	of	ADP
cord-155015-w3k7r5z9	63	47	fes	fes	NOUN
cord-155015-w3k7r5z9	63	48	(	(	PUNCT
cord-155015-w3k7r5z9	63	49	4	4	NUM
cord-155015-w3k7r5z9	63	50	)	)	PUNCT
cord-155015-w3k7r5z9	63	51	and	and	CCONJ
cord-155015-w3k7r5z9	63	52	because	because	SCONJ
cord-155015-w3k7r5z9	63	53	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	63	54	cost	cost	NOUN
cord-155015-w3k7r5z9	63	55	prevents	prevent	VERB
cord-155015-w3k7r5z9	63	56	significant	significant	ADJ
cord-155015-w3k7r5z9	63	57	lift	lift	NOUN
cord-155015-w3k7r5z9	63	58	of	of	ADP
cord-155015-w3k7r5z9	63	59	social	social	ADJ
cord-155015-w3k7r5z9	63	60	distancing	distancing	NOUN
cord-155015-w3k7r5z9	63	61	constraints	constraint	NOUN
cord-155015-w3k7r5z9	63	62	(	(	PUNCT
cord-155015-w3k7r5z9	63	63	the	the	DET
cord-155015-w3k7r5z9	63	64	third	third	ADJ
cord-155015-w3k7r5z9	63	65	term	term	NOUN
cord-155015-w3k7r5z9	63	66	in	in	ADP
cord-155015-w3k7r5z9	63	67	(	(	PUNCT
cord-155015-w3k7r5z9	63	68	6	6	NUM
cord-155015-w3k7r5z9	63	69	)	)	PUNCT
cord-155015-w3k7r5z9	63	70	)	)	PUNCT
cord-155015-w3k7r5z9	63	71	.	.	PUNCT
cord-155015-w3k7r5z9	64	1	this	this	DET
cord-155015-w3k7r5z9	64	2	work	work	NOUN
cord-155015-w3k7r5z9	64	3	considers	consider	VERB
cord-155015-w3k7r5z9	64	4	only	only	ADV
cord-155015-w3k7r5z9	64	5	a	a	DET
cord-155015-w3k7r5z9	64	6	decrease	decrease	NOUN
cord-155015-w3k7r5z9	64	7	in	in	ADP
cord-155015-w3k7r5z9	64	8	social	social	ADJ
cord-155015-w3k7r5z9	64	9	distancing	distancing	NOUN
cord-155015-w3k7r5z9	64	10	∆s	∆s	PROPN
cord-155015-w3k7r5z9	64	11	th	th	X
cord-155015-w3k7r5z9	64	12	<	<	X
cord-155015-w3k7r5z9	64	13	0	0	NUM
cord-155015-w3k7r5z9	65	1	which	which	PRON
cord-155015-w3k7r5z9	65	2	corresponds	correspond	VERB
cord-155015-w3k7r5z9	65	3	to	to	ADP
cord-155015-w3k7r5z9	65	4	the	the	DET
cord-155015-w3k7r5z9	65	5	reopening	reopening	NOUN
cord-155015-w3k7r5z9	65	6	of	of	ADP
cord-155015-w3k7r5z9	65	7	the	the	DET
cord-155015-w3k7r5z9	65	8	economy	economy	NOUN
cord-155015-w3k7r5z9	65	9	.	.	PUNCT
cord-155015-w3k7r5z9	66	1	it	it	PRON
cord-155015-w3k7r5z9	66	2	is	be	AUX
cord-155015-w3k7r5z9	66	3	a	a	DET
cord-155015-w3k7r5z9	66	4	consequence	consequence	NOUN
cord-155015-w3k7r5z9	66	5	of	of	ADP
cord-155015-w3k7r5z9	66	6	an	an	DET
cord-155015-w3k7r5z9	66	7	assumption	assumption	NOUN
cord-155015-w3k7r5z9	66	8	that	that	SCONJ
cord-155015-w3k7r5z9	66	9	a	a	DET
cord-155015-w3k7r5z9	66	10	close	close	NOUN
cord-155015-w3k7r5z9	66	11	≫	≫	PROPN
cord-155015-w3k7r5z9	66	12	a	a	DET
cord-155015-w3k7r5z9	66	13	open	open	ADJ
cord-155015-w3k7r5z9	66	14	-even	-even	NUM
cord-155015-w3k7r5z9	66	15	small	small	ADJ
cord-155015-w3k7r5z9	66	16	constraint	constraint	NOUN
cord-155015-w3k7r5z9	66	17	on	on	ADP
cord-155015-w3k7r5z9	66	18	social	social	ADJ
cord-155015-w3k7r5z9	66	19	interactions	interaction	NOUN
cord-155015-w3k7r5z9	66	20	bring	bring	VERB
cord-155015-w3k7r5z9	66	21	significant	significant	ADJ
cord-155015-w3k7r5z9	66	22	economy	economy	NOUN
cord-155015-w3k7r5z9	66	23	damage	damage	NOUN
cord-155015-w3k7r5z9	66	24	.	.	PUNCT
cord-155015-w3k7r5z9	67	1	transition	transition	NOUN
cord-155015-w3k7r5z9	67	2	occur	occur	VERB
cord-155015-w3k7r5z9	67	3	if	if	SCONJ
cord-155015-w3k7r5z9	67	4	utility	utility	NOUN
cord-155015-w3k7r5z9	67	5	function	function	NOUN
cord-155015-w3k7r5z9	67	6	(	(	PUNCT
cord-155015-w3k7r5z9	67	7	4	4	NUM
cord-155015-w3k7r5z9	67	8	)	)	PUNCT
cord-155015-w3k7r5z9	67	9	,	,	PUNCT
cord-155015-w3k7r5z9	67	10	taking	take	VERB
cord-155015-w3k7r5z9	67	11	into	into	ADP
cord-155015-w3k7r5z9	67	12	account	account	NOUN
cord-155015-w3k7r5z9	67	13	(	(	PUNCT
cord-155015-w3k7r5z9	67	14	5	5	NUM
cord-155015-w3k7r5z9	67	15	)	)	PUNCT
cord-155015-w3k7r5z9	67	16	and	and	CCONJ
cord-155015-w3k7r5z9	67	17	(	(	PUNCT
cord-155015-w3k7r5z9	67	18	6	6	NUM
cord-155015-w3k7r5z9	67	19	):	):	PUNCT
cord-155015-w3k7r5z9	67	20	possesses	possess	VERB
cord-155015-w3k7r5z9	67	21	any	any	DET
cord-155015-w3k7r5z9	67	22	positive	positive	ADJ
cord-155015-w3k7r5z9	67	23	values	value	NOUN
cord-155015-w3k7r5z9	67	24	for	for	ADP
cord-155015-w3k7r5z9	67	25	∆s	∆s	NUM
cord-155015-w3k7r5z9	67	26	th	th	X
cord-155015-w3k7r5z9	67	27	<	<	X
cord-155015-w3k7r5z9	67	28	0	0	NUM
cord-155015-w3k7r5z9	67	29	.	.	PUNCT
cord-155015-w3k7r5z9	68	1	to	to	PART
cord-155015-w3k7r5z9	68	2	consider	consider	VERB
cord-155015-w3k7r5z9	68	3	only	only	ADV
cord-155015-w3k7r5z9	68	4	relative	relative	ADJ
cord-155015-w3k7r5z9	68	5	changes	change	NOUN
cord-155015-w3k7r5z9	68	6	in	in	ADP
cord-155015-w3k7r5z9	68	7	s	s	PROPN
cord-155015-w3k7r5z9	68	8	th	th	X
cord-155015-w3k7r5z9	68	9	,	,	PUNCT
cord-155015-w3k7r5z9	68	10	we	we	PRON
cord-155015-w3k7r5z9	68	11	set	set	VERB
cord-155015-w3k7r5z9	68	12	u	u	PROPN
cord-155015-w3k7r5z9	68	13	(	(	PUNCT
cord-155015-w3k7r5z9	68	14	s	s	PROPN
cord-155015-w3k7r5z9	68	15	current	current	PROPN
cord-155015-w3k7r5z9	68	16	th	th	X
cord-155015-w3k7r5z9	68	17	)	)	PUNCT
cord-155015-w3k7r5z9	68	18	=	=	SYM
cord-155015-w3k7r5z9	68	19	0	0	X
cord-155015-w3k7r5z9	68	20	.	.	PUNCT
cord-155015-w3k7r5z9	69	1	utility	utility	NOUN
cord-155015-w3k7r5z9	69	2	function	function	NOUN
cord-155015-w3k7r5z9	69	3	(	(	PUNCT
cord-155015-w3k7r5z9	69	4	7	7	NUM
cord-155015-w3k7r5z9	69	5	)	)	PUNCT
cord-155015-w3k7r5z9	69	6	together	together	ADV
cord-155015-w3k7r5z9	69	7	with	with	ADP
cord-155015-w3k7r5z9	69	8	condition	condition	NOUN
cord-155015-w3k7r5z9	69	9	(	(	PUNCT
cord-155015-w3k7r5z9	69	10	2	2	X
cord-155015-w3k7r5z9	69	11	)	)	PUNCT
cord-155015-w3k7r5z9	69	12	possesses	possess	VERB
cord-155015-w3k7r5z9	69	13	ginzburg	ginzburg	NOUN
cord-155015-w3k7r5z9	69	14	-	-	PUNCT
cord-155015-w3k7r5z9	69	15	landau	landau	NOUN
cord-155015-w3k7r5z9	69	16	like	like	ADP
cord-155015-w3k7r5z9	69	17	instability	instability	NOUN
cord-155015-w3k7r5z9	69	18	,	,	PUNCT
cord-155015-w3k7r5z9	69	19	see	see	VERB
cord-155015-w3k7r5z9	69	20	figure	figure	NOUN
cord-155015-w3k7r5z9	69	21	1	1	NUM
cord-155015-w3k7r5z9	69	22	.	.	PUNCT
cord-155015-w3k7r5z9	70	1	first	first	ADV
cord-155015-w3k7r5z9	70	2	,	,	PUNCT
cord-155015-w3k7r5z9	70	3	no	no	DET
cord-155015-w3k7r5z9	70	4	transition	transition	NOUN
cord-155015-w3k7r5z9	70	5	occurs	occur	VERB
cord-155015-w3k7r5z9	70	6	if	if	SCONJ
cord-155015-w3k7r5z9	70	7	u	u	X
cord-155015-w3k7r5z9	70	8	<	<	X
cord-155015-w3k7r5z9	70	9	0	0	NUM
cord-155015-w3k7r5z9	70	10	for	for	ADP
cord-155015-w3k7r5z9	70	11	all	all	PRON
cord-155015-w3k7r5z9	70	12	s	s	PRON
cord-155015-w3k7r5z9	70	13	th	th	X
cord-155015-w3k7r5z9	70	14	.	.	PUNCT
cord-155015-w3k7r5z9	71	1	second	second	ADJ
cord-155015-w3k7r5z9	71	2	,	,	PUNCT
cord-155015-w3k7r5z9	71	3	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	71	4	change	change	NOUN
cord-155015-w3k7r5z9	71	5	in	in	ADP
cord-155015-w3k7r5z9	71	6	s	s	PROPN
cord-155015-w3k7r5z9	71	7	th	th	NOUN
cord-155015-w3k7r5z9	71	8	take	take	VERB
cord-155015-w3k7r5z9	71	9	place	place	NOUN
cord-155015-w3k7r5z9	71	10	if	if	SCONJ
cord-155015-w3k7r5z9	71	11	there	there	PRON
cord-155015-w3k7r5z9	71	12	is	be	VERB
cord-155015-w3k7r5z9	71	13	single	single	ADJ
cord-155015-w3k7r5z9	71	14	value	value	NOUN
cord-155015-w3k7r5z9	71	15	u	u	PROPN
cord-155015-w3k7r5z9	71	16	(	(	PUNCT
cord-155015-w3k7r5z9	71	17	s	s	NOUN
cord-155015-w3k7r5z9	71	18	th	th	X
cord-155015-w3k7r5z9	71	19	)	)	PUNCT
cord-155015-w3k7r5z9	71	20	>	>	PUNCT
cord-155015-w3k7r5z9	71	21	0	0	NUM
cord-155015-w3k7r5z9	71	22	.	.	PUNCT
cord-155015-w3k7r5z9	72	1	third	third	ADJ
cord-155015-w3k7r5z9	72	2	,	,	PUNCT
cord-155015-w3k7r5z9	72	3	s	s	NOUN
cord-155015-w3k7r5z9	72	4	th	th	X
cord-155015-w3k7r5z9	72	5	changes	change	VERB
cord-155015-w3k7r5z9	72	6	continuously	continuously	ADV
cord-155015-w3k7r5z9	72	7	when	when	SCONJ
cord-155015-w3k7r5z9	72	8	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	72	9	of	of	ADP
cord-155015-w3k7r5z9	72	10	(	(	PUNCT
cord-155015-w3k7r5z9	72	11	7	7	X
cord-155015-w3k7r5z9	72	12	)	)	PUNCT
cord-155015-w3k7r5z9	72	13	vanish	vanish	VERB
cord-155015-w3k7r5z9	72	14	near	near	ADP
cord-155015-w3k7r5z9	72	15	∆s	∆s	PROPN
cord-155015-w3k7r5z9	72	16	th	th	PROPN
cord-155015-w3k7r5z9	72	17	=	=	NOUN
cord-155015-w3k7r5z9	72	18	0	0	NUM
cord-155015-w3k7r5z9	72	19	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	72	20	transition	transition	NOUN
cord-155015-w3k7r5z9	72	21	occurs	occur	VERB
cord-155015-w3k7r5z9	72	22	when	when	SCONJ
cord-155015-w3k7r5z9	72	23	there	there	PRON
cord-155015-w3k7r5z9	72	24	exists	exist	VERB
cord-155015-w3k7r5z9	72	25	a	a	DET
cord-155015-w3k7r5z9	72	26	single	single	ADJ
cord-155015-w3k7r5z9	72	27	∆s	∆s	X
cord-155015-w3k7r5z9	72	28	th	th	X
cord-155015-w3k7r5z9	72	29	<	<	X
cord-155015-w3k7r5z9	72	30	0	0	NUM
cord-155015-w3k7r5z9	72	31	root	root	NOUN
cord-155015-w3k7r5z9	72	32	for	for	ADP
cord-155015-w3k7r5z9	72	33	u	u	PROPN
cord-155015-w3k7r5z9	72	34	=	=	X
cord-155015-w3k7r5z9	72	35	0	0	NUM
cord-155015-w3k7r5z9	72	36	(	(	PUNCT
cord-155015-w3k7r5z9	72	37	7	7	NUM
cord-155015-w3k7r5z9	72	38	)	)	PUNCT
cord-155015-w3k7r5z9	72	39	.	.	PUNCT
cord-155015-w3k7r5z9	73	1	this	this	DET
cord-155015-w3k7r5z9	73	2	condition	condition	NOUN
cord-155015-w3k7r5z9	73	3	requires	require	VERB
cord-155015-w3k7r5z9	73	4	the	the	DET
cord-155015-w3k7r5z9	73	5	determinant	determinant	NOUN
cord-155015-w3k7r5z9	73	6	of	of	ADP
cord-155015-w3k7r5z9	73	7	quadratic	quadratic	ADJ
cord-155015-w3k7r5z9	73	8	function	function	NOUN
cord-155015-w3k7r5z9	73	9	u/∆s	u/∆s	X
cord-155015-w3k7r5z9	73	10	th	th	X
cord-155015-w3k7r5z9	73	11	(	(	PUNCT
cord-155015-w3k7r5z9	73	12	7	7	NUM
cord-155015-w3k7r5z9	73	13	)	)	PUNCT
cord-155015-w3k7r5z9	73	14	to	to	PART
cord-155015-w3k7r5z9	73	15	vanish	vanish	VERB
cord-155015-w3k7r5z9	73	16	:	:	PUNCT
cord-155015-w3k7r5z9	73	17	(	(	PUNCT
cord-155015-w3k7r5z9	73	18	dashed	dash	VERB
cord-155015-w3k7r5z9	73	19	red	red	ADJ
cord-155015-w3k7r5z9	73	20	line	line	NOUN
cord-155015-w3k7r5z9	73	21	)	)	PUNCT
cord-155015-w3k7r5z9	73	22	.	.	PUNCT
cord-155015-w3k7r5z9	74	1	two	two	NUM
cord-155015-w3k7r5z9	74	2	cases	case	NOUN
cord-155015-w3k7r5z9	74	3	(	(	PUNCT
cord-155015-w3k7r5z9	74	4	dotted	dot	VERB
cord-155015-w3k7r5z9	74	5	lines	line	NOUN
cord-155015-w3k7r5z9	74	6	)	)	PUNCT
cord-155015-w3k7r5z9	74	7	that	that	PRON
cord-155015-w3k7r5z9	74	8	make	make	VERB
cord-155015-w3k7r5z9	74	9	possible	possible	ADJ
cord-155015-w3k7r5z9	74	10	change	change	NOUN
cord-155015-w3k7r5z9	74	11	of	of	ADP
cord-155015-w3k7r5z9	74	12	s	s	NOUN
cord-155015-w3k7r5z9	74	13	th	th	NOUN
cord-155015-w3k7r5z9	74	14	to	to	ADP
cord-155015-w3k7r5z9	74	15	many	many	ADJ
cord-155015-w3k7r5z9	74	16	values	value	NOUN
cord-155015-w3k7r5z9	74	17	do	do	AUX
cord-155015-w3k7r5z9	74	18	not	not	PART
cord-155015-w3k7r5z9	74	19	exist	exist	VERB
cord-155015-w3k7r5z9	74	20	becasue	becasue	VERB
cord-155015-w3k7r5z9	74	21	either	either	CCONJ
cord-155015-w3k7r5z9	74	22	continuous	continuous	ADJ
cord-155015-w3k7r5z9	74	23	or	or	CCONJ
cord-155015-w3k7r5z9	74	24	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	74	25	transition	transition	NOUN
cord-155015-w3k7r5z9	74	26	occur	occur	VERB
cord-155015-w3k7r5z9	74	27	before	before	ADV
cord-155015-w3k7r5z9	74	28	.	.	PUNCT
cord-155015-w3k7r5z9	75	1	this	this	DET
cord-155015-w3k7r5z9	75	2	work	work	NOUN
cord-155015-w3k7r5z9	75	3	consideres	consider	VERB
cord-155015-w3k7r5z9	75	4	only	only	ADV
cord-155015-w3k7r5z9	75	5	opening	opening	NOUN
cord-155015-w3k7r5z9	75	6	of	of	ADP
cord-155015-w3k7r5z9	75	7	population	population	NOUN
cord-155015-w3k7r5z9	75	8	,	,	PUNCT
cord-155015-w3k7r5z9	75	9	that	that	PRON
cord-155015-w3k7r5z9	75	10	corresponds	correspond	VERB
cord-155015-w3k7r5z9	75	11	to	to	ADP
cord-155015-w3k7r5z9	75	12	reduction	reduction	NOUN
cord-155015-w3k7r5z9	75	13	of	of	ADP
cord-155015-w3k7r5z9	75	14	s	s	PROPN
cord-155015-w3k7r5z9	75	15	th	th	X
cord-155015-w3k7r5z9	75	16	.	.	PUNCT
cord-155015-w3k7r5z9	76	1	utility	utility	NOUN
cord-155015-w3k7r5z9	76	2	function	function	NOUN
cord-155015-w3k7r5z9	76	3	is	be	AUX
cord-155015-w3k7r5z9	76	4	approximately	approximately	ADV
cord-155015-w3k7r5z9	76	5	a	a	DET
cord-155015-w3k7r5z9	76	6	cubic	cubic	ADJ
cord-155015-w3k7r5z9	76	7	fuction	fuction	NOUN
cord-155015-w3k7r5z9	76	8	of	of	ADP
cord-155015-w3k7r5z9	76	9	∆s	∆s	PROPN
cord-155015-w3k7r5z9	76	10	th	th	X
cord-155015-w3k7r5z9	76	11	(	(	PUNCT
cord-155015-w3k7r5z9	76	12	solid	solid	ADJ
cord-155015-w3k7r5z9	76	13	green	green	ADJ
cord-155015-w3k7r5z9	76	14	)	)	PUNCT
cord-155015-w3k7r5z9	76	15	.	.	PUNCT
cord-155015-w3k7r5z9	77	1	the	the	DET
cord-155015-w3k7r5z9	77	2	transition	transition	NOUN
cord-155015-w3k7r5z9	77	3	predicted	predict	VERB
cord-155015-w3k7r5z9	77	4	by	by	ADP
cord-155015-w3k7r5z9	77	5	exact	exact	ADJ
cord-155015-w3k7r5z9	77	6	calculation	calculation	NOUN
cord-155015-w3k7r5z9	77	7	(	(	PUNCT
cord-155015-w3k7r5z9	77	8	solid	solid	ADJ
cord-155015-w3k7r5z9	77	9	blue	blue	ADJ
cord-155015-w3k7r5z9	77	10	)	)	PUNCT
cord-155015-w3k7r5z9	77	11	predict	predict	VERB
cord-155015-w3k7r5z9	77	12	insignificant	insignificant	ADJ
cord-155015-w3k7r5z9	77	13	for	for	ADP
cord-155015-w3k7r5z9	77	14	this	this	DET
cord-155015-w3k7r5z9	77	15	work	work	NOUN
cord-155015-w3k7r5z9	77	16	changes	change	NOUN
cord-155015-w3k7r5z9	77	17	in	in	ADP
cord-155015-w3k7r5z9	77	18	time	time	NOUN
cord-155015-w3k7r5z9	77	19	and	and	CCONJ
cord-155015-w3k7r5z9	77	20	strength	strength	NOUN
cord-155015-w3k7r5z9	77	21	of	of	ADP
cord-155015-w3k7r5z9	77	22	the	the	DET
cord-155015-w3k7r5z9	77	23	transition	transition	NOUN
cord-155015-w3k7r5z9	77	24	.	.	PUNCT
cord-155015-w3k7r5z9	78	1	the	the	DET
cord-155015-w3k7r5z9	78	2	corresponding	corresponding	ADJ
cord-155015-w3k7r5z9	78	3	∆s	∆s	INTJ
cord-155015-w3k7r5z9	78	4	th	th	X
cord-155015-w3k7r5z9	78	5	:	:	PUNCT
cord-155015-w3k7r5z9	78	6	the	the	DET
cord-155015-w3k7r5z9	78	7	new	new	PROPN
cord-155015-w3k7r5z9	78	8	s	s	PROPN
cord-155015-w3k7r5z9	78	9	new	new	ADJ
cord-155015-w3k7r5z9	78	10	th	th	PROPN
cord-155015-w3k7r5z9	78	11	is	be	AUX
cord-155015-w3k7r5z9	78	12	:	:	PUNCT
cord-155015-w3k7r5z9	78	13	coefficients	coefficient	NOUN
cord-155015-w3k7r5z9	78	14	a	a	PROPN
cord-155015-w3k7r5z9	78	15	,	,	PUNCT
cord-155015-w3k7r5z9	78	16	b	b	PROPN
cord-155015-w3k7r5z9	78	17	,	,	PUNCT
cord-155015-w3k7r5z9	78	18	c	c	X
cord-155015-w3k7r5z9	78	19	possess	possess	VERB
cord-155015-w3k7r5z9	78	20	an	an	DET
cord-155015-w3k7r5z9	78	21	analytic	analytic	ADJ
cord-155015-w3k7r5z9	78	22	approximation	approximation	NOUN
cord-155015-w3k7r5z9	78	23	,	,	PUNCT
cord-155015-w3k7r5z9	78	24	while	while	SCONJ
cord-155015-w3k7r5z9	78	25	condition	condition	NOUN
cord-155015-w3k7r5z9	78	26	(	(	PUNCT
cord-155015-w3k7r5z9	78	27	8)	8)	NUM
cord-155015-w3k7r5z9	78	28	reduces	reduce	VERB
cord-155015-w3k7r5z9	78	29	to	to	ADP
cord-155015-w3k7r5z9	78	30	a	a	DET
cord-155015-w3k7r5z9	78	31	polynome	polynome	NOUN
cord-155015-w3k7r5z9	78	32	of	of	ADP
cord-155015-w3k7r5z9	78	33	the	the	DET
cord-155015-w3k7r5z9	78	34	4th	4th	ADJ
cord-155015-w3k7r5z9	78	35	order	order	NOUN
cord-155015-w3k7r5z9	78	36	.	.	PUNCT
cord-155015-w3k7r5z9	79	1	the	the	DET
cord-155015-w3k7r5z9	79	2	first	first	ADJ
cord-155015-w3k7r5z9	79	3	two	two	NUM
cord-155015-w3k7r5z9	79	4	equations	equation	NOUN
cord-155015-w3k7r5z9	79	5	of	of	ADP
cord-155015-w3k7r5z9	79	6	(	(	PUNCT
cord-155015-w3k7r5z9	79	7	1	1	NUM
cord-155015-w3k7r5z9	79	8	)	)	PUNCT
cord-155015-w3k7r5z9	79	9	have	have	VERB
cord-155015-w3k7r5z9	79	10	a	a	DET
cord-155015-w3k7r5z9	79	11	solution	solution	NOUN
cord-155015-w3k7r5z9	79	12	in	in	ADP
cord-155015-w3k7r5z9	79	13	the	the	DET
cord-155015-w3k7r5z9	79	14	form	form	NOUN
cord-155015-w3k7r5z9	79	15	of	of	ADP
cord-155015-w3k7r5z9	79	16	lambert	lambert	PROPN
cord-155015-w3k7r5z9	79	17	w	w	PROPN
cord-155015-w3k7r5z9	79	18	function	function	NOUN
cord-155015-w3k7r5z9	79	19	[	[	PUNCT
cord-155015-w3k7r5z9	79	20	24	24	NUM
cord-155015-w3k7r5z9	79	21	]	]	PUNCT
cord-155015-w3k7r5z9	79	22	[	[	X
cord-155015-w3k7r5z9	79	23	25	25	NUM
cord-155015-w3k7r5z9	79	24	]	]	PUNCT
cord-155015-w3k7r5z9	79	25	[	[	X
cord-155015-w3k7r5z9	79	26	26	26	NUM
cord-155015-w3k7r5z9	79	27	]	]	PUNCT
cord-155015-w3k7r5z9	79	28	:	:	PUNCT
cord-155015-w3k7r5z9	79	29	where	where	SCONJ
cord-155015-w3k7r5z9	79	30	(	(	PUNCT
cord-155015-w3k7r5z9	79	31	s	s	PROPN
cord-155015-w3k7r5z9	79	32	0	0	NUM
cord-155015-w3k7r5z9	79	33	,	,	PUNCT
cord-155015-w3k7r5z9	79	34	i	i	PRON
cord-155015-w3k7r5z9	79	35	0	0	PUNCT
cord-155015-w3k7r5z9	79	36	)	)	PUNCT
cord-155015-w3k7r5z9	79	37	are	be	AUX
cord-155015-w3k7r5z9	79	38	initial	initial	ADJ
cord-155015-w3k7r5z9	79	39	values	value	NOUN
cord-155015-w3k7r5z9	79	40	for	for	ADP
cord-155015-w3k7r5z9	79	41	ratio	ratio	NOUN
cord-155015-w3k7r5z9	79	42	of	of	ADP
cord-155015-w3k7r5z9	79	43	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	79	44	s	s	NOUN
cord-155015-w3k7r5z9	79	45	and	and	CCONJ
cord-155015-w3k7r5z9	79	46	amount	amount	NOUN
cord-155015-w3k7r5z9	79	47	of	of	ADP
cord-155015-w3k7r5z9	79	48	infected	infected	ADJ
cord-155015-w3k7r5z9	79	49	i	i	PRON
cord-155015-w3k7r5z9	79	50	correspondingly	correspondingly	ADV
cord-155015-w3k7r5z9	79	51	,	,	PUNCT
cord-155015-w3k7r5z9	79	52	see	see	VERB
cord-155015-w3k7r5z9	79	53	appendix	appendix	PROPN
cord-155015-w3k7r5z9	79	54	a.	a.	NOUN
cord-155015-w3k7r5z9	79	55	eq	eq	PROPN
cord-155015-w3k7r5z9	79	56	.	.	PUNCT
cord-155015-w3k7r5z9	80	1	(	(	PUNCT
cord-155015-w3k7r5z9	80	2	11	11	NUM
cord-155015-w3k7r5z9	80	3	)	)	PUNCT
cord-155015-w3k7r5z9	80	4	is	be	AUX
cord-155015-w3k7r5z9	80	5	valid	valid	ADJ
cord-155015-w3k7r5z9	80	6	for	for	ADP
cord-155015-w3k7r5z9	80	7	any	any	DET
cord-155015-w3k7r5z9	80	8	(	(	PUNCT
cord-155015-w3k7r5z9	80	9	s	s	PROPN
cord-155015-w3k7r5z9	80	10	,	,	PUNCT
cord-155015-w3k7r5z9	80	11	i	i	NOUN
cord-155015-w3k7r5z9	80	12	)	)	PUNCT
cord-155015-w3k7r5z9	80	13	on	on	ADP
cord-155015-w3k7r5z9	80	14	the	the	DET
cord-155015-w3k7r5z9	80	15	trajectory	trajectory	NOUN
cord-155015-w3k7r5z9	80	16	in	in	ADP
cord-155015-w3k7r5z9	80	17	time	time	NOUN
cord-155015-w3k7r5z9	80	18	that	that	PRON
cord-155015-w3k7r5z9	80	19	initiates	initiate	VERB
cord-155015-w3k7r5z9	80	20	at	at	ADP
cord-155015-w3k7r5z9	80	21	(	(	PUNCT
cord-155015-w3k7r5z9	80	22	s	s	PROPN
cord-155015-w3k7r5z9	80	23	0	0	NUM
cord-155015-w3k7r5z9	80	24	,	,	PUNCT
cord-155015-w3k7r5z9	80	25	i	i	PRON
cord-155015-w3k7r5z9	80	26	0	0	PUNCT
cord-155015-w3k7r5z9	80	27	)	)	PUNCT
cord-155015-w3k7r5z9	80	28	.	.	PUNCT
cord-155015-w3k7r5z9	81	1	the	the	DET
cord-155015-w3k7r5z9	81	2	parameter	parameter	NOUN
cord-155015-w3k7r5z9	81	3	s	s	PROPN
cord-155015-w3k7r5z9	81	4	reaches	reach	VERB
cord-155015-w3k7r5z9	81	5	it	it	PRON
cord-155015-w3k7r5z9	81	6	smallest	small	ADJ
cord-155015-w3k7r5z9	81	7	value	value	NOUN
cord-155015-w3k7r5z9	81	8	s	s	PROPN
cord-155015-w3k7r5z9	81	9	min	min	NOUN
cord-155015-w3k7r5z9	81	10	when	when	SCONJ
cord-155015-w3k7r5z9	81	11	there	there	PRON
cord-155015-w3k7r5z9	81	12	are	be	VERB
cord-155015-w3k7r5z9	81	13	no	no	DET
cord-155015-w3k7r5z9	81	14	more	more	ADV
cord-155015-w3k7r5z9	81	15	infected	infected	ADJ
cord-155015-w3k7r5z9	81	16	(	(	PUNCT
cord-155015-w3k7r5z9	81	17	i	i	NOUN
cord-155015-w3k7r5z9	81	18	=	=	NOUN
cord-155015-w3k7r5z9	81	19	0	0	NUM
cord-155015-w3k7r5z9	81	20	)	)	PUNCT
cord-155015-w3k7r5z9	81	21	at	at	ADP
cord-155015-w3k7r5z9	81	22	t	t	PROPN
cord-155015-w3k7r5z9	81	23	=	=	X
cord-155015-w3k7r5z9	81	24	∞	∞	NUM
cord-155015-w3k7r5z9	81	25	:	:	PUNCT
cord-155015-w3k7r5z9	81	26	following	follow	VERB
cord-155015-w3k7r5z9	81	27	(	(	PUNCT
cord-155015-w3k7r5z9	81	28	1	1	NUM
cord-155015-w3k7r5z9	81	29	)	)	PUNCT
cord-155015-w3k7r5z9	81	30	,	,	PUNCT
cord-155015-w3k7r5z9	81	31	fes	fes	NOUN
cord-155015-w3k7r5z9	81	32	at	at	ADP
cord-155015-w3k7r5z9	81	33	any	any	DET
cord-155015-w3k7r5z9	81	34	time	time	NOUN
cord-155015-w3k7r5z9	81	35	t	t	PRON
cord-155015-w3k7r5z9	81	36	is	be	AUX
cord-155015-w3k7r5z9	81	37	:	:	PUNCT
cord-155015-w3k7r5z9	81	38	and	and	CCONJ
cord-155015-w3k7r5z9	81	39	parameters	parameter	NOUN
cord-155015-w3k7r5z9	81	40	a	a	PROPN
cord-155015-w3k7r5z9	81	41	,	,	PUNCT
cord-155015-w3k7r5z9	81	42	b	b	PROPN
cord-155015-w3k7r5z9	81	43	,	,	PUNCT
cord-155015-w3k7r5z9	81	44	c	c	NOUN
cord-155015-w3k7r5z9	81	45	in	in	ADP
cord-155015-w3k7r5z9	81	46	(	(	PUNCT
cord-155015-w3k7r5z9	81	47	6	6	NUM
cord-155015-w3k7r5z9	81	48	)	)	PUNCT
cord-155015-w3k7r5z9	81	49	are	be	AUX
cord-155015-w3k7r5z9	81	50	the	the	DET
cord-155015-w3k7r5z9	81	51	taylor	taylor	PROPN
cord-155015-w3k7r5z9	81	52	coefficients	coefficient	NOUN
cord-155015-w3k7r5z9	81	53	:	:	PUNCT
cord-155015-w3k7r5z9	81	54	the	the	DET
cord-155015-w3k7r5z9	81	55	parameters	parameter	NOUN
cord-155015-w3k7r5z9	81	56	(	(	PUNCT
cord-155015-w3k7r5z9	81	57	14	14	NUM
cord-155015-w3k7r5z9	81	58	)	)	PUNCT
cord-155015-w3k7r5z9	81	59	are	be	AUX
cord-155015-w3k7r5z9	81	60	polynomials	polynomial	NOUN
cord-155015-w3k7r5z9	81	61	of	of	ADP
cord-155015-w3k7r5z9	81	62	log	log	PROPN
cord-155015-w3k7r5z9	81	63	s	s	NOUN
cord-155015-w3k7r5z9	81	64	of	of	ADP
cord-155015-w3k7r5z9	81	65	the	the	DET
cord-155015-w3k7r5z9	81	66	order	order	NOUN
cord-155015-w3k7r5z9	81	67	1,2	1,2	NOUN
cord-155015-w3k7r5z9	81	68	and	and	CCONJ
cord-155015-w3k7r5z9	81	69	3	3	NUM
cord-155015-w3k7r5z9	81	70	correspondingly	correspondingly	ADV
cord-155015-w3k7r5z9	81	71	,	,	PUNCT
cord-155015-w3k7r5z9	81	72	see	see	VERB
cord-155015-w3k7r5z9	81	73	appendix	appendix	PROPN
cord-155015-w3k7r5z9	81	74	b.	b.	PROPN
cord-155015-w3k7r5z9	81	75	thus	thus	ADV
cord-155015-w3k7r5z9	81	76	condition	condition	NOUN
cord-155015-w3k7r5z9	81	77	(	(	PUNCT
cord-155015-w3k7r5z9	81	78	8)	8)	NUM
cord-155015-w3k7r5z9	81	79	is	be	AUX
cord-155015-w3k7r5z9	81	80	a	a	DET
cord-155015-w3k7r5z9	81	81	polynomial	polynomial	NOUN
cord-155015-w3k7r5z9	81	82	of	of	ADP
cord-155015-w3k7r5z9	81	83	the	the	DET
cord-155015-w3k7r5z9	81	84	4th	4th	ADJ
cord-155015-w3k7r5z9	81	85	order	order	NOUN
cord-155015-w3k7r5z9	81	86	(	(	PUNCT
cord-155015-w3k7r5z9	81	87	quatric	quatric	ADJ
cord-155015-w3k7r5z9	81	88	function	function	NOUN
cord-155015-w3k7r5z9	81	89	)	)	PUNCT
cord-155015-w3k7r5z9	81	90	of	of	ADP
cord-155015-w3k7r5z9	81	91	log	log	PROPN
cord-155015-w3k7r5z9	81	92	s	s	PROPN
cord-155015-w3k7r5z9	81	93	,	,	PUNCT
cord-155015-w3k7r5z9	81	94	with	with	ADP
cord-155015-w3k7r5z9	81	95	coefficients	coefficient	NOUN
cord-155015-w3k7r5z9	81	96	that	that	PRON
cord-155015-w3k7r5z9	81	97	are	be	AUX
cord-155015-w3k7r5z9	81	98	the	the	DET
cord-155015-w3k7r5z9	81	99	functions	function	NOUN
cord-155015-w3k7r5z9	81	100	of	of	ADP
cord-155015-w3k7r5z9	81	101	(	(	PUNCT
cord-155015-w3k7r5z9	81	102	s	s	PROPN
cord-155015-w3k7r5z9	81	103	0	0	NUM
cord-155015-w3k7r5z9	81	104	,	,	PUNCT
cord-155015-w3k7r5z9	81	105	i	i	PRON
cord-155015-w3k7r5z9	81	106	0	0	PUNCT
cord-155015-w3k7r5z9	81	107	,	,	PUNCT
cord-155015-w3k7r5z9	81	108	s	s	PROPN
cord-155015-w3k7r5z9	81	109	,	,	PUNCT
cord-155015-w3k7r5z9	81	110	i	i	PROPN
cord-155015-w3k7r5z9	81	111	,	,	PUNCT
cord-155015-w3k7r5z9	81	112	s	s	PROPN
cord-155015-w3k7r5z9	81	113	th	th	X
cord-155015-w3k7r5z9	81	114	,	,	PUNCT
cord-155015-w3k7r5z9	81	115	β	β	PROPN
cord-155015-w3k7r5z9	81	116	,	,	PUNCT
cord-155015-w3k7r5z9	81	117	a	a	PRON
cord-155015-w3k7r5z9	81	118	)	)	PUNCT
cord-155015-w3k7r5z9	81	119	.	.	PUNCT
cord-155015-w3k7r5z9	82	1	consider	consider	VERB
cord-155015-w3k7r5z9	82	2	population	population	NOUN
cord-155015-w3k7r5z9	82	3	at	at	ADP
cord-155015-w3k7r5z9	82	4	state	state	PROPN
cord-155015-w3k7r5z9	82	5	(	(	PUNCT
cord-155015-w3k7r5z9	82	6	s	s	PROPN
cord-155015-w3k7r5z9	82	7	0	0	NUM
cord-155015-w3k7r5z9	82	8	,	,	PUNCT
cord-155015-w3k7r5z9	82	9	i	i	PRON
cord-155015-w3k7r5z9	82	10	0	0	PUNCT
cord-155015-w3k7r5z9	82	11	,	,	PUNCT
cord-155015-w3k7r5z9	82	12	s	s	PROPN
cord-155015-w3k7r5z9	82	13	,	,	PUNCT
cord-155015-w3k7r5z9	82	14	i	i	PROPN
cord-155015-w3k7r5z9	82	15	,	,	PUNCT
cord-155015-w3k7r5z9	82	16	s	s	PROPN
cord-155015-w3k7r5z9	82	17	th	th	X
cord-155015-w3k7r5z9	82	18	,	,	PUNCT
cord-155015-w3k7r5z9	82	19	β	β	PROPN
cord-155015-w3k7r5z9	82	20	,	,	PUNCT
cord-155015-w3k7r5z9	82	21	a	a	PRON
cord-155015-w3k7r5z9	82	22	)	)	PUNCT
cord-155015-w3k7r5z9	82	23	.	.	PUNCT
cord-155015-w3k7r5z9	83	1	figure	figure	NOUN
cord-155015-w3k7r5z9	83	2	2	2	NUM
cord-155015-w3k7r5z9	83	3	.	.	PUNCT
cord-155015-w3k7r5z9	84	1	transitions	transition	NOUN
cord-155015-w3k7r5z9	84	2	of	of	ADP
cord-155015-w3k7r5z9	84	3	s	s	SYM
cord-155015-w3k7r5z9	84	4	th	th	NOUN
cord-155015-w3k7r5z9	84	5	take	take	VERB
cord-155015-w3k7r5z9	84	6	place	place	NOUN
cord-155015-w3k7r5z9	84	7	until	until	SCONJ
cord-155015-w3k7r5z9	84	8	(	(	PUNCT
cord-155015-w3k7r5z9	84	9	16	16	NUM
cord-155015-w3k7r5z9	84	10	)	)	PUNCT
cord-155015-w3k7r5z9	84	11	predicts	predict	VERB
cord-155015-w3k7r5z9	84	12	∆s	∆s	PROPN
cord-155015-w3k7r5z9	84	13	th	th	PROPN
cord-155015-w3k7r5z9	84	14	=	=	PROPN
cord-155015-w3k7r5z9	84	15	0	0	NUM
cord-155015-w3k7r5z9	84	16	.	.	PUNCT
cord-155015-w3k7r5z9	85	1	following	follow	VERB
cord-155015-w3k7r5z9	85	2	(	(	PUNCT
cord-155015-w3k7r5z9	85	3	8)	8)	NUM
cord-155015-w3k7r5z9	85	4	and	and	CCONJ
cord-155015-w3k7r5z9	85	5	(	(	PUNCT
cord-155015-w3k7r5z9	85	6	9	9	X
cord-155015-w3k7r5z9	85	7	)	)	PUNCT
cord-155015-w3k7r5z9	85	8	it	it	PRON
cord-155015-w3k7r5z9	85	9	happens	happen	VERB
cord-155015-w3k7r5z9	85	10	when	when	SCONJ
cord-155015-w3k7r5z9	85	11	the	the	DET
cord-155015-w3k7r5z9	85	12	first	first	ADJ
cord-155015-w3k7r5z9	85	13	two	two	NUM
cord-155015-w3k7r5z9	85	14	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	85	15	of	of	ADP
cord-155015-w3k7r5z9	85	16	(	(	PUNCT
cord-155015-w3k7r5z9	85	17	7	7	X
cord-155015-w3k7r5z9	85	18	)	)	PUNCT
cord-155015-w3k7r5z9	85	19	vanish	vanish	VERB
cord-155015-w3k7r5z9	85	20	:	:	PUNCT
cord-155015-w3k7r5z9	85	21	.	.	PUNCT
cord-155015-w3k7r5z9	86	1	the	the	DET
cord-155015-w3k7r5z9	86	2	time	time	NOUN
cord-155015-w3k7r5z9	86	3	to	to	ADP
cord-155015-w3k7r5z9	86	4	these	these	DET
cord-155015-w3k7r5z9	86	5	infinite	infinite	ADJ
cord-155015-w3k7r5z9	86	6	number	number	NOUN
cord-155015-w3k7r5z9	86	7	of	of	ADP
cord-155015-w3k7r5z9	86	8	transitions	transition	NOUN
cord-155015-w3k7r5z9	86	9	to	to	PART
cord-155015-w3k7r5z9	86	10	take	take	VERB
cord-155015-w3k7r5z9	86	11	place	place	NOUN
cord-155015-w3k7r5z9	86	12	remain	remain	VERB
cord-155015-w3k7r5z9	86	13	finite	finite	ADJ
cord-155015-w3k7r5z9	86	14	because	because	SCONJ
cord-155015-w3k7r5z9	86	15	time	time	NOUN
cord-155015-w3k7r5z9	86	16	is	be	AUX
cord-155015-w3k7r5z9	86	17	finite	finite	ADJ
cord-155015-w3k7r5z9	86	18	to	to	PART
cord-155015-w3k7r5z9	86	19	pass	pass	VERB
cord-155015-w3k7r5z9	86	20	between	between	ADP
cord-155015-w3k7r5z9	86	21	and	and	CCONJ
cord-155015-w3k7r5z9	86	22	two	two	NUM
cord-155015-w3k7r5z9	86	23	values	value	NOUN
cord-155015-w3k7r5z9	86	24	of	of	ADP
cord-155015-w3k7r5z9	86	25	s	s	NOUN
cord-155015-w3k7r5z9	86	26	,	,	PUNCT
cord-155015-w3k7r5z9	86	27	see	see	VERB
cord-155015-w3k7r5z9	86	28	(	(	PUNCT
cord-155015-w3k7r5z9	86	29	15	15	NUM
cord-155015-w3k7r5z9	86	30	)	)	PUNCT
cord-155015-w3k7r5z9	86	31	.	.	PUNCT
cord-155015-w3k7r5z9	87	1	after	after	ADP
cord-155015-w3k7r5z9	87	2	the	the	DET
cord-155015-w3k7r5z9	87	3	limit	limit	NOUN
cord-155015-w3k7r5z9	87	4	of	of	ADP
cord-155015-w3k7r5z9	87	5	transition	transition	NOUN
cord-155015-w3k7r5z9	87	6	,	,	PUNCT
cord-155015-w3k7r5z9	87	7	utility	utility	NOUN
cord-155015-w3k7r5z9	87	8	function	function	NOUN
cord-155015-w3k7r5z9	87	9	preserves	preserve	VERB
cord-155015-w3k7r5z9	87	10	continuous	continuous	ADJ
cord-155015-w3k7r5z9	87	11	transition	transition	NOUN
cord-155015-w3k7r5z9	87	12	state	state	NOUN
cord-155015-w3k7r5z9	87	13	.	.	PUNCT
cord-155015-w3k7r5z9	88	1	otherwise	otherwise	ADV
cord-155015-w3k7r5z9	88	2	if	if	SCONJ
cord-155015-w3k7r5z9	88	3	s	s	AUX
cord-155015-w3k7r5z9	88	4	th	th	X
cord-155015-w3k7r5z9	88	5	remain	remain	VERB
cord-155015-w3k7r5z9	88	6	constant	constant	ADJ
cord-155015-w3k7r5z9	88	7	the	the	DET
cord-155015-w3k7r5z9	88	8	utility	utility	NOUN
cord-155015-w3k7r5z9	88	9	function	function	NOUN
cord-155015-w3k7r5z9	88	10	would	would	AUX
cord-155015-w3k7r5z9	88	11	make	make	VERB
cord-155015-w3k7r5z9	88	12	possible	possible	ADJ
cord-155015-w3k7r5z9	88	13	many	many	ADJ
cord-155015-w3k7r5z9	88	14	values	value	NOUN
cord-155015-w3k7r5z9	88	15	of	of	ADP
cord-155015-w3k7r5z9	88	16	s	s	NOUN
cord-155015-w3k7r5z9	88	17	th	th	NOUN
cord-155015-w3k7r5z9	88	18	with	with	ADP
cord-155015-w3k7r5z9	88	19	u	u	PROPN
cord-155015-w3k7r5z9	88	20	(	(	PUNCT
cord-155015-w3k7r5z9	88	21	s	s	NOUN
cord-155015-w3k7r5z9	88	22	th	th	X
cord-155015-w3k7r5z9	88	23	)	)	PUNCT
cord-155015-w3k7r5z9	88	24	>	>	PUNCT
cord-155015-w3k7r5z9	88	25	0	0	NUM
cord-155015-w3k7r5z9	88	26	,	,	PUNCT
cord-155015-w3k7r5z9	88	27	see	see	VERB
cord-155015-w3k7r5z9	88	28	figure	figure	NOUN
cord-155015-w3k7r5z9	88	29	1	1	NUM
cord-155015-w3k7r5z9	88	30	.	.	PUNCT
cord-155015-w3k7r5z9	89	1	at	at	ADP
cord-155015-w3k7r5z9	89	2	the	the	DET
cord-155015-w3k7r5z9	89	3	region	region	NOUN
cord-155015-w3k7r5z9	89	4	of	of	ADP
cord-155015-w3k7r5z9	89	5	continuous	continuous	ADJ
cord-155015-w3k7r5z9	89	6	transitions	transition	NOUN
cord-155015-w3k7r5z9	89	7	,	,	PUNCT
cord-155015-w3k7r5z9	89	8	at	at	ADP
cord-155015-w3k7r5z9	89	9	each	each	DET
cord-155015-w3k7r5z9	89	10	moment	moment	NOUN
cord-155015-w3k7r5z9	89	11	equation	equation	NOUN
cord-155015-w3k7r5z9	89	12	:	:	PUNCT
cord-155015-w3k7r5z9	89	13	defines	define	VERB
cord-155015-w3k7r5z9	89	14	s	s	PROPN
cord-155015-w3k7r5z9	89	15	th	th	X
cord-155015-w3k7r5z9	89	16	,	,	PUNCT
cord-155015-w3k7r5z9	89	17	and	and	CCONJ
cord-155015-w3k7r5z9	89	18	(	(	PUNCT
cord-155015-w3k7r5z9	89	19	1	1	X
cord-155015-w3k7r5z9	89	20	)	)	PUNCT
cord-155015-w3k7r5z9	89	21	is	be	AUX
cord-155015-w3k7r5z9	89	22	solved	solve	VERB
cord-155015-w3k7r5z9	89	23	numerically	numerically	ADV
cord-155015-w3k7r5z9	89	24	.	.	PUNCT
cord-155015-w3k7r5z9	90	1	transitions	transition	NOUN
cord-155015-w3k7r5z9	90	2	of	of	ADP
cord-155015-w3k7r5z9	90	3	s	s	NOUN
cord-155015-w3k7r5z9	90	4	th	th	NOUN
cord-155015-w3k7r5z9	90	5	result	result	NOUN
cord-155015-w3k7r5z9	90	6	in	in	ADP
cord-155015-w3k7r5z9	90	7	time	time	NOUN
cord-155015-w3k7r5z9	90	8	derivative	derivative	ADJ
cord-155015-w3k7r5z9	90	9	discontinuities	discontinuity	NOUN
cord-155015-w3k7r5z9	90	10	of	of	ADP
cord-155015-w3k7r5z9	90	11	s	s	PROPN
cord-155015-w3k7r5z9	90	12	and	and	CCONJ
cord-155015-w3k7r5z9	90	13	i.	i.	PROPN
cord-155015-w3k7r5z9	90	14	these	these	DET
cord-155015-w3k7r5z9	90	15	derivative	derivative	ADJ
cord-155015-w3k7r5z9	90	16	discontinuities	discontinuity	NOUN
cord-155015-w3k7r5z9	90	17	can	can	AUX
cord-155015-w3k7r5z9	90	18	be	be	AUX
cord-155015-w3k7r5z9	90	19	detected	detect	VERB
cord-155015-w3k7r5z9	90	20	,	,	PUNCT
cord-155015-w3k7r5z9	90	21	see	see	VERB
cord-155015-w3k7r5z9	90	22	figure	figure	NOUN
cord-155015-w3k7r5z9	90	23	2	2	NUM
cord-155015-w3k7r5z9	90	24	.	.	PUNCT
cord-155015-w3k7r5z9	91	1	sirit	sirit	PROPN
cord-155015-w3k7r5z9	91	2	model	model	PROPN
cord-155015-w3k7r5z9	91	3	provided	provide	VERB
cord-155015-w3k7r5z9	91	4	a	a	DET
cord-155015-w3k7r5z9	91	5	successful	successful	ADJ
cord-155015-w3k7r5z9	91	6	fit	fit	NOUN
cord-155015-w3k7r5z9	91	7	of	of	ADP
cord-155015-w3k7r5z9	91	8	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	91	9	data	datum	NOUN
cord-155015-w3k7r5z9	91	10	in	in	ADP
cord-155015-w3k7r5z9	91	11	austria	austria	PROPN
cord-155015-w3k7r5z9	91	12	,	,	PUNCT
cord-155015-w3k7r5z9	91	13	germany	germany	PROPN
cord-155015-w3k7r5z9	91	14	and	and	CCONJ
cord-155015-w3k7r5z9	91	15	israel	israel	PROPN
cord-155015-w3k7r5z9	91	16	.	.	PUNCT
cord-155015-w3k7r5z9	92	1	austria	austria	PROPN
cord-155015-w3k7r5z9	92	2	and	and	CCONJ
cord-155015-w3k7r5z9	92	3	israel	israel	PROPN
cord-155015-w3k7r5z9	92	4	are	be	AUX
cord-155015-w3k7r5z9	92	5	countries	country	NOUN
cord-155015-w3k7r5z9	92	6	with	with	ADP
cord-155015-w3k7r5z9	92	7	similar	similar	ADJ
cord-155015-w3k7r5z9	92	8	population	population	NOUN
cord-155015-w3k7r5z9	92	9	sizes	size	NOUN
cord-155015-w3k7r5z9	92	10	and	and	CCONJ
cord-155015-w3k7r5z9	92	11	with	with	ADP
cord-155015-w3k7r5z9	92	12	similar	similar	ADJ
cord-155015-w3k7r5z9	92	13	policies	policy	NOUN
cord-155015-w3k7r5z9	92	14	during	during	ADP
cord-155015-w3k7r5z9	92	15	the	the	DET
cord-155015-w3k7r5z9	92	16	initial	initial	ADJ
cord-155015-w3k7r5z9	92	17	stages	stage	NOUN
cord-155015-w3k7r5z9	92	18	of	of	ADP
cord-155015-w3k7r5z9	92	19	the	the	DET
cord-155015-w3k7r5z9	92	20	1st	1st	ADJ
cord-155015-w3k7r5z9	92	21	wave	wave	NOUN
cord-155015-w3k7r5z9	92	22	.	.	PUNCT
cord-155015-w3k7r5z9	93	1	germany	germany	PROPN
cord-155015-w3k7r5z9	93	2	is	be	AUX
cord-155015-w3k7r5z9	93	3	a	a	DET
cord-155015-w3k7r5z9	93	4	country	country	NOUN
cord-155015-w3k7r5z9	93	5	with	with	ADP
cord-155015-w3k7r5z9	93	6	about	about	ADP
cord-155015-w3k7r5z9	93	7	×10	×10	NOUN
cord-155015-w3k7r5z9	93	8	population	population	NOUN
cord-155015-w3k7r5z9	93	9	size	size	NOUN
cord-155015-w3k7r5z9	93	10	that	that	PRON
cord-155015-w3k7r5z9	93	11	still	still	ADV
cord-155015-w3k7r5z9	93	12	demonstrates	demonstrate	VERB
cord-155015-w3k7r5z9	93	13	sir	sir	NOUN
cord-155015-w3k7r5z9	93	14	like	like	ADP
cord-155015-w3k7r5z9	93	15	behavior	behavior	NOUN
cord-155015-w3k7r5z9	93	16	during	during	ADP
cord-155015-w3k7r5z9	93	17	the	the	DET
cord-155015-w3k7r5z9	93	18	first	first	ADJ
cord-155015-w3k7r5z9	93	19	wave	wave	NOUN
cord-155015-w3k7r5z9	93	20	.	.	PUNCT
cord-155015-w3k7r5z9	94	1	the	the	DET
cord-155015-w3k7r5z9	94	2	main	main	ADJ
cord-155015-w3k7r5z9	94	3	purpose	purpose	NOUN
cord-155015-w3k7r5z9	94	4	of	of	ADP
cord-155015-w3k7r5z9	94	5	the	the	DET
cord-155015-w3k7r5z9	94	6	fit	fit	NOUN
cord-155015-w3k7r5z9	94	7	is	be	AUX
cord-155015-w3k7r5z9	94	8	to	to	PART
cord-155015-w3k7r5z9	94	9	show	show	VERB
cord-155015-w3k7r5z9	94	10	that	that	SCONJ
cord-155015-w3k7r5z9	94	11	selfcontained	selfcontaine	VERB
cord-155015-w3k7r5z9	94	12	model	model	NOUN
cord-155015-w3k7r5z9	94	13	sirit	sirit	NOUN
cord-155015-w3k7r5z9	94	14	is	be	AUX
cord-155015-w3k7r5z9	94	15	capable	capable	ADJ
cord-155015-w3k7r5z9	94	16	of	of	ADP
cord-155015-w3k7r5z9	94	17	description	description	NOUN
cord-155015-w3k7r5z9	94	18	dynamics	dynamic	NOUN
cord-155015-w3k7r5z9	94	19	of	of	ADP
cord-155015-w3k7r5z9	94	20	the	the	DET
cord-155015-w3k7r5z9	94	21	1st	1st	ADJ
cord-155015-w3k7r5z9	94	22	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	94	23	wave	wave	NOUN
cord-155015-w3k7r5z9	94	24	.	.	PUNCT
cord-155015-w3k7r5z9	95	1	full	full	ADJ
cord-155015-w3k7r5z9	95	2	optimization	optimization	NOUN
cord-155015-w3k7r5z9	95	3	of	of	ADP
cord-155015-w3k7r5z9	95	4	the	the	DET
cord-155015-w3k7r5z9	95	5	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	95	6	data	datum	NOUN
cord-155015-w3k7r5z9	95	7	fit	fit	NOUN
cord-155015-w3k7r5z9	95	8	and	and	CCONJ
cord-155015-w3k7r5z9	95	9	its	its	PRON
cord-155015-w3k7r5z9	95	10	validation	validation	NOUN
cord-155015-w3k7r5z9	95	11	is	be	AUX
cord-155015-w3k7r5z9	95	12	out	out	ADP
cord-155015-w3k7r5z9	95	13	of	of	ADP
cord-155015-w3k7r5z9	95	14	the	the	DET
cord-155015-w3k7r5z9	95	15	scope	scope	NOUN
cord-155015-w3k7r5z9	95	16	of	of	ADP
cord-155015-w3k7r5z9	95	17	this	this	DET
cord-155015-w3k7r5z9	95	18	work	work	NOUN
cord-155015-w3k7r5z9	95	19	.	.	PUNCT
cord-155015-w3k7r5z9	96	1	the	the	DET
cord-155015-w3k7r5z9	96	2	fit	fit	PROPN
cord-155015-w3k7r5z9	96	3	proceeds	proceed	NOUN
cord-155015-w3k7r5z9	96	4	in	in	ADP
cord-155015-w3k7r5z9	96	5	the	the	DET
cord-155015-w3k7r5z9	96	6	following	following	ADJ
cord-155015-w3k7r5z9	96	7	steps	step	NOUN
cord-155015-w3k7r5z9	96	8	:	:	PUNCT
cord-155015-w3k7r5z9	96	9	first	first	ADV
cord-155015-w3k7r5z9	96	10	,	,	PUNCT
cord-155015-w3k7r5z9	96	11	a	a	DET
cord-155015-w3k7r5z9	96	12	small	small	ADJ
cord-155015-w3k7r5z9	96	13	region	region	NOUN
cord-155015-w3k7r5z9	96	14	around	around	ADP
cord-155015-w3k7r5z9	96	15	the	the	DET
cord-155015-w3k7r5z9	96	16	greatest	great	ADJ
cord-155015-w3k7r5z9	96	17	number	number	NOUN
cord-155015-w3k7r5z9	96	18	of	of	ADP
cord-155015-w3k7r5z9	96	19	infected	infect	VERB
cord-155015-w3k7r5z9	96	20	,	,	PUNCT
cord-155015-w3k7r5z9	96	21	see	see	VERB
cord-155015-w3k7r5z9	96	22	(	(	PUNCT
cord-155015-w3k7r5z9	96	23	16	16	NUM
cord-155015-w3k7r5z9	96	24	)	)	PUNCT
cord-155015-w3k7r5z9	96	25	and	and	CCONJ
cord-155015-w3k7r5z9	96	26	(	(	PUNCT
cord-155015-w3k7r5z9	96	27	17	17	NUM
cord-155015-w3k7r5z9	96	28	)	)	PUNCT
cord-155015-w3k7r5z9	96	29	.	.	PUNCT
cord-155015-w3k7r5z9	97	1	complete	complete	ADJ
cord-155015-w3k7r5z9	97	2	dynamics	dynamic	NOUN
cord-155015-w3k7r5z9	97	3	of	of	ADP
cord-155015-w3k7r5z9	97	4	the	the	DET
cord-155015-w3k7r5z9	97	5	first	first	ADJ
cord-155015-w3k7r5z9	97	6	wave	wave	NOUN
cord-155015-w3k7r5z9	97	7	active	active	ADJ
cord-155015-w3k7r5z9	97	8	cases	case	NOUN
cord-155015-w3k7r5z9	97	9	and	and	CCONJ
cord-155015-w3k7r5z9	97	10	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	97	11	,	,	PUNCT
cord-155015-w3k7r5z9	97	12	see	see	VERB
cord-155015-w3k7r5z9	97	13	figure	figure	NOUN
cord-155015-w3k7r5z9	97	14	3	3	NUM
cord-155015-w3k7r5z9	97	15	,	,	PUNCT
cord-155015-w3k7r5z9	97	16	follows	follow	VERB
cord-155015-w3k7r5z9	97	17	eqs	eqs	PROPN
cord-155015-w3k7r5z9	97	18	.	.	PUNCT
cord-155015-w3k7r5z9	98	1	(	(	PUNCT
cord-155015-w3k7r5z9	98	2	1	1	NUM
cord-155015-w3k7r5z9	98	3	)	)	PUNCT
cord-155015-w3k7r5z9	98	4	and	and	CCONJ
cord-155015-w3k7r5z9	98	5	the	the	DET
cord-155015-w3k7r5z9	98	6	fitted	fit	VERB
cord-155015-w3k7r5z9	98	7	s	s	NOUN
cord-155015-w3k7r5z9	98	8	0	0	NUM
cord-155015-w3k7r5z9	98	9	,	,	PUNCT
cord-155015-w3k7r5z9	98	10	i	i	PRON
cord-155015-w3k7r5z9	98	11	0	0	PUNCT
cord-155015-w3k7r5z9	98	12	,	,	PUNCT
cord-155015-w3k7r5z9	98	13	s	s	PROPN
cord-155015-w3k7r5z9	98	14	th	th	X
cord-155015-w3k7r5z9	98	15	,	,	PUNCT
cord-155015-w3k7r5z9	98	16	β	β	PROPN
cord-155015-w3k7r5z9	98	17	,	,	PUNCT
cord-155015-w3k7r5z9	98	18	a	a	PRON
cord-155015-w3k7r5z9	98	19	,	,	PUNCT
cord-155015-w3k7r5z9	98	20	n	n	ADV
cord-155015-w3k7r5z9	98	21	together	together	ADV
cord-155015-w3k7r5z9	98	22	with	with	ADP
cord-155015-w3k7r5z9	98	23	the	the	DET
cord-155015-w3k7r5z9	98	24	transitions	transition	NOUN
cord-155015-w3k7r5z9	98	25	locations	location	VERB
cord-155015-w3k7r5z9	98	26	t	t	PROPN
cord-155015-w3k7r5z9	98	27	i	i	PROPN
cord-155015-w3k7r5z9	98	28	,	,	PUNCT
cord-155015-w3k7r5z9	98	29	s	s	VERB
cord-155015-w3k7r5z9	98	30	i	i	PRON
cord-155015-w3k7r5z9	98	31	tr	tr	NOUN
cord-155015-w3k7r5z9	98	32	and	and	CCONJ
cord-155015-w3k7r5z9	98	33	strengths	strength	NOUN
cord-155015-w3k7r5z9	98	34	s	s	VERB
cord-155015-w3k7r5z9	99	1	i	i	PRON
cord-155015-w3k7r5z9	99	2	th	th	X
cord-155015-w3k7r5z9	99	3	.	.	PUNCT
cord-155015-w3k7r5z9	100	1	see	see	VERB
cord-155015-w3k7r5z9	100	2	figure	figure	NOUN
cord-155015-w3k7r5z9	100	3	3	3	NUM
cord-155015-w3k7r5z9	100	4	for	for	ADP
cord-155015-w3k7r5z9	100	5	changes	change	NOUN
cord-155015-w3k7r5z9	100	6	in	in	ADP
cord-155015-w3k7r5z9	100	7	s	s	PROPN
cord-155015-w3k7r5z9	100	8	th	th	X
cord-155015-w3k7r5z9	100	9	.	.	PUNCT
cord-155015-w3k7r5z9	101	1	to	to	PART
cord-155015-w3k7r5z9	101	2	fit	fit	VERB
cord-155015-w3k7r5z9	101	3	casualties	casualty	NOUN
cord-155015-w3k7r5z9	101	4	,	,	PUNCT
cord-155015-w3k7r5z9	101	5	an	an	DET
cord-155015-w3k7r5z9	101	6	effective	effective	ADJ
cord-155015-w3k7r5z9	101	7	population	population	NOUN
cord-155015-w3k7r5z9	101	8	size	size	NOUN
cord-155015-w3k7r5z9	101	9	n	n	ADV
cord-155015-w3k7r5z9	101	10	is	be	AUX
cord-155015-w3k7r5z9	101	11	chosen	choose	VERB
cord-155015-w3k7r5z9	101	12	to	to	PART
cord-155015-w3k7r5z9	101	13	fit	fit	VERB
cord-155015-w3k7r5z9	101	14	reported	report	VERB
cord-155015-w3k7r5z9	101	15	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	101	16	death	death	NOUN
cord-155015-w3k7r5z9	101	17	at	at	ADP
cord-155015-w3k7r5z9	101	18	the	the	DET
cord-155015-w3k7r5z9	101	19	100th	100th	ADJ
cord-155015-w3k7r5z9	101	20	day	day	NOUN
cord-155015-w3k7r5z9	101	21	of	of	ADP
cord-155015-w3k7r5z9	101	22	the	the	DET
cord-155015-w3k7r5z9	101	23	first	first	ADJ
cord-155015-w3k7r5z9	101	24	wave	wave	NOUN
cord-155015-w3k7r5z9	101	25	.	.	PUNCT
cord-155015-w3k7r5z9	102	1	it	it	PRON
cord-155015-w3k7r5z9	102	2	predicted	predict	VERB
cord-155015-w3k7r5z9	102	3	quite	quite	ADV
cord-155015-w3k7r5z9	102	4	small	small	ADJ
cord-155015-w3k7r5z9	102	5	n	n	ADV
cord-155015-w3k7r5z9	102	6	less	less	ADJ
cord-155015-w3k7r5z9	102	7	than	than	ADP
cord-155015-w3k7r5z9	102	8	1/10	1/10	NUM
cord-155015-w3k7r5z9	102	9	austrian	austrian	ADJ
cord-155015-w3k7r5z9	102	10	population	population	NOUN
cord-155015-w3k7r5z9	102	11	.	.	PUNCT
cord-155015-w3k7r5z9	103	1	this	this	DET
cord-155015-w3k7r5z9	103	2	result	result	NOUN
cord-155015-w3k7r5z9	103	3	to	to	PART
cord-155015-w3k7r5z9	103	4	be	be	AUX
cord-155015-w3k7r5z9	103	5	addressed	address	VERB
cord-155015-w3k7r5z9	103	6	during	during	ADP
cord-155015-w3k7r5z9	103	7	the	the	DET
cord-155015-w3k7r5z9	103	8	discussion	discussion	NOUN
cord-155015-w3k7r5z9	103	9	.	.	PUNCT
cord-155015-w3k7r5z9	104	1	besides	besides	SCONJ
cord-155015-w3k7r5z9	104	2	,	,	PUNCT
cord-155015-w3k7r5z9	104	3	there	there	PRON
cord-155015-w3k7r5z9	104	4	exists	exist	VERB
cord-155015-w3k7r5z9	104	5	some	some	DET
cord-155015-w3k7r5z9	104	6	time	time	NOUN
cord-155015-w3k7r5z9	104	7	shift	shift	NOUN
cord-155015-w3k7r5z9	104	8	between	between	ADP
cord-155015-w3k7r5z9	104	9	calculated	calculate	VERB
cord-155015-w3k7r5z9	104	10	and	and	CCONJ
cord-155015-w3k7r5z9	104	11	reported	report	VERB
cord-155015-w3k7r5z9	104	12	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	104	13	death	death	NOUN
cord-155015-w3k7r5z9	104	14	.	.	PUNCT
cord-155015-w3k7r5z9	105	1	two	two	NUM
cord-155015-w3k7r5z9	105	2	alternative	alternative	ADJ
cord-155015-w3k7r5z9	105	3	fits	fit	NOUN
cord-155015-w3k7r5z9	105	4	of	of	ADP
cord-155015-w3k7r5z9	105	5	austria	austria	PROPN
cord-155015-w3k7r5z9	105	6	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	105	7	data	datum	NOUN
cord-155015-w3k7r5z9	105	8	are	be	AUX
cord-155015-w3k7r5z9	105	9	brought	bring	VERB
cord-155015-w3k7r5z9	105	10	in	in	ADP
cord-155015-w3k7r5z9	105	11	table	table	NOUN
cord-155015-w3k7r5z9	105	12	i.	i.	PROPN
cord-155015-w3k7r5z9	105	13	table	table	PROPN
cord-155015-w3k7r5z9	105	14	i	i	PRON
cord-155015-w3k7r5z9	105	15	summarizes	summarize	VERB
cord-155015-w3k7r5z9	105	16	the	the	DET
cord-155015-w3k7r5z9	105	17	results	result	NOUN
cord-155015-w3k7r5z9	105	18	for	for	ADP
cord-155015-w3k7r5z9	105	19	all	all	DET
cord-155015-w3k7r5z9	105	20	three	three	NUM
cord-155015-w3k7r5z9	105	21	countries	country	NOUN
cord-155015-w3k7r5z9	105	22	.	.	PUNCT
cord-155015-w3k7r5z9	106	1	all	all	DET
cord-155015-w3k7r5z9	106	2	countries	country	NOUN
cord-155015-w3k7r5z9	106	3	demonstrated	demonstrate	VERB
cord-155015-w3k7r5z9	106	4	a	a	DET
cord-155015-w3k7r5z9	106	5	low	low	ADJ
cord-155015-w3k7r5z9	106	6	size	size	NOUN
cord-155015-w3k7r5z9	106	7	of	of	ADP
cord-155015-w3k7r5z9	106	8	the	the	DET
cord-155015-w3k7r5z9	106	9	effective	effective	ADJ
cord-155015-w3k7r5z9	106	10	population	population	NOUN
cord-155015-w3k7r5z9	106	11	.	.	PUNCT
cord-155015-w3k7r5z9	107	1	one	one	NUM
cord-155015-w3k7r5z9	107	2	of	of	ADP
cord-155015-w3k7r5z9	107	3	the	the	DET
cord-155015-w3k7r5z9	107	4	assumptions	assumption	NOUN
cord-155015-w3k7r5z9	107	5	that	that	PRON
cord-155015-w3k7r5z9	107	6	s	s	VERB
cord-155015-w3k7r5z9	107	7	0	0	PUNCT
cord-155015-w3k7r5z9	108	1	≈	≈	PROPN
cord-155015-w3k7r5z9	108	2	1	1	NUM
cord-155015-w3k7r5z9	108	3	.	.	PUNCT
cord-155015-w3k7r5z9	109	1	in	in	ADP
cord-155015-w3k7r5z9	109	2	the	the	DET
cord-155015-w3k7r5z9	109	3	case	case	NOUN
cord-155015-w3k7r5z9	109	4	of	of	ADP
cord-155015-w3k7r5z9	109	5	israel	israel	PROPN
cord-155015-w3k7r5z9	109	6	,	,	PUNCT
cord-155015-w3k7r5z9	109	7	it	it	PRON
cord-155015-w3k7r5z9	109	8	required	require	VERB
cord-155015-w3k7r5z9	109	9	to	to	PART
cord-155015-w3k7r5z9	109	10	be	be	AUX
cord-155015-w3k7r5z9	109	11	constrained	constrain	VERB
cord-155015-w3k7r5z9	109	12	.	.	PUNCT
cord-155015-w3k7r5z9	110	1	neither	neither	PRON
cord-155015-w3k7r5z9	110	2	of	of	ADP
cord-155015-w3k7r5z9	110	3	deviations	deviation	NOUN
cord-155015-w3k7r5z9	110	4	from	from	ADP
cord-155015-w3k7r5z9	110	5	the	the	DET
cord-155015-w3k7r5z9	110	6	fit	fit	NOUN
cord-155015-w3k7r5z9	110	7	refutes	refute	VERB
cord-155015-w3k7r5z9	110	8	the	the	DET
cord-155015-w3k7r5z9	110	9	main	main	ADJ
cord-155015-w3k7r5z9	110	10	results	result	NOUN
cord-155015-w3k7r5z9	110	11	of	of	ADP
cord-155015-w3k7r5z9	110	12	this	this	DET
cord-155015-w3k7r5z9	110	13	work	work	NOUN
cord-155015-w3k7r5z9	110	14	.	.	PUNCT
cord-155015-w3k7r5z9	111	1	the	the	DET
cord-155015-w3k7r5z9	111	2	work	work	NOUN
cord-155015-w3k7r5z9	111	3	introduces	introduce	VERB
cord-155015-w3k7r5z9	111	4	sirit	sirit	NOUN
cord-155015-w3k7r5z9	111	5	,	,	PUNCT
cord-155015-w3k7r5z9	111	6	a	a	DET
cord-155015-w3k7r5z9	111	7	standard	standard	ADJ
cord-155015-w3k7r5z9	111	8	susceptible	susceptible	ADV
cord-155015-w3k7r5z9	111	9	-	-	PUNCT
cord-155015-w3k7r5z9	111	10	infected	infect	VERB
cord-155015-w3k7r5z9	111	11	-	-	PUNCT
cord-155015-w3k7r5z9	111	12	recovered	recover	VERB
cord-155015-w3k7r5z9	111	13	(	(	PUNCT
cord-155015-w3k7r5z9	111	14	sir	sir	PROPN
cord-155015-w3k7r5z9	111	15	)	)	PUNCT
cord-155015-w3k7r5z9	111	16	model	model	NOUN
cord-155015-w3k7r5z9	111	17	extended	extend	VERB
cord-155015-w3k7r5z9	111	18	with	with	ADP
cord-155015-w3k7r5z9	111	19	a	a	DET
cord-155015-w3k7r5z9	111	20	utility	utility	NOUN
cord-155015-w3k7r5z9	111	21	function	function	NOUN
cord-155015-w3k7r5z9	111	22	that	that	PRON
cord-155015-w3k7r5z9	111	23	predicts	predict	VERB
cord-155015-w3k7r5z9	111	24	induced	induce	VERB
cord-155015-w3k7r5z9	111	25	transitions	transition	NOUN
cord-155015-w3k7r5z9	111	26	(	(	PUNCT
cord-155015-w3k7r5z9	111	27	it	it	PRON
cord-155015-w3k7r5z9	111	28	)	)	PUNCT
cord-155015-w3k7r5z9	111	29	of	of	ADP
cord-155015-w3k7r5z9	111	30	social	social	ADJ
cord-155015-w3k7r5z9	111	31	distancing	distancing	NOUN
cord-155015-w3k7r5z9	111	32	.	.	PUNCT
cord-155015-w3k7r5z9	112	1	the	the	DET
cord-155015-w3k7r5z9	112	2	model	model	NOUN
cord-155015-w3k7r5z9	112	3	provides	provide	VERB
cord-155015-w3k7r5z9	112	4	almost	almost	ADV
cord-155015-w3k7r5z9	112	5	analytical	analytical	ADJ
cord-155015-w3k7r5z9	112	6	treatment	treatment	NOUN
cord-155015-w3k7r5z9	112	7	and	and	CCONJ
cord-155015-w3k7r5z9	112	8	reasonable	reasonable	ADJ
cord-155015-w3k7r5z9	112	9	but	but	CCONJ
cord-155015-w3k7r5z9	112	10	an	an	DET
cord-155015-w3k7r5z9	112	11	ambiguous	ambiguous	ADJ
cord-155015-w3k7r5z9	112	12	fit	fit	NOUN
cord-155015-w3k7r5z9	112	13	of	of	ADP
cord-155015-w3k7r5z9	112	14	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	112	15	1st	1st	ADJ
cord-155015-w3k7r5z9	112	16	wave	wave	NOUN
cord-155015-w3k7r5z9	112	17	active	active	ADJ
cord-155015-w3k7r5z9	112	18	cases	case	NOUN
cord-155015-w3k7r5z9	112	19	and	and	CCONJ
cord-155015-w3k7r5z9	112	20	casualties	casualty	NOUN
cord-155015-w3k7r5z9	112	21	.	.	PUNCT
cord-155015-w3k7r5z9	113	1	let	let	VERB
cord-155015-w3k7r5z9	113	2	's	us	PRON
cord-155015-w3k7r5z9	113	3	summarize	summarize	VERB
cord-155015-w3k7r5z9	113	4	and	and	CCONJ
cord-155015-w3k7r5z9	113	5	discuss	discuss	VERB
cord-155015-w3k7r5z9	113	6	the	the	DET
cord-155015-w3k7r5z9	113	7	main	main	ADJ
cord-155015-w3k7r5z9	113	8	assumptions	assumption	NOUN
cord-155015-w3k7r5z9	113	9	,	,	PUNCT
cord-155015-w3k7r5z9	113	10	results	result	NOUN
cord-155015-w3k7r5z9	113	11	,	,	PUNCT
cord-155015-w3k7r5z9	113	12	and	and	CCONJ
cord-155015-w3k7r5z9	113	13	implications	implication	NOUN
cord-155015-w3k7r5z9	113	14	of	of	ADP
cord-155015-w3k7r5z9	113	15	this	this	DET
cord-155015-w3k7r5z9	113	16	work	work	NOUN
cord-155015-w3k7r5z9	113	17	together	together	ADV
cord-155015-w3k7r5z9	113	18	with	with	ADP
cord-155015-w3k7r5z9	113	19	some	some	DET
cord-155015-w3k7r5z9	113	20	alternative	alternative	ADJ
cord-155015-w3k7r5z9	113	21	approaches	approach	NOUN
cord-155015-w3k7r5z9	113	22	.	.	PUNCT
cord-155015-w3k7r5z9	114	1	the	the	DET
cord-155015-w3k7r5z9	114	2	validity	validity	NOUN
cord-155015-w3k7r5z9	114	3	of	of	ADP
cord-155015-w3k7r5z9	114	4	the	the	DET
cord-155015-w3k7r5z9	114	5	predicted	predict	VERB
cord-155015-w3k7r5z9	114	6	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	114	7	dynamics	dynamic	NOUN
cord-155015-w3k7r5z9	114	8	of	of	ADP
cord-155015-w3k7r5z9	114	9	social	social	ADJ
cord-155015-w3k7r5z9	114	10	distancing	distancing	NOUN
cord-155015-w3k7r5z9	114	11	and	and	CCONJ
cord-155015-w3k7r5z9	114	12	results	result	NOUN
cord-155015-w3k7r5z9	114	13	depend	depend	VERB
cord-155015-w3k7r5z9	114	14	on	on	ADP
cord-155015-w3k7r5z9	114	15	the	the	DET
cord-155015-w3k7r5z9	114	16	specific	specific	ADJ
cord-155015-w3k7r5z9	114	17	choice	choice	NOUN
cord-155015-w3k7r5z9	114	18	of	of	ADP
cord-155015-w3k7r5z9	114	19	the	the	DET
cord-155015-w3k7r5z9	114	20	social	social	ADJ
cord-155015-w3k7r5z9	114	21	distancing	distancing	NOUN
cord-155015-w3k7r5z9	114	22	parameter	parameter	NOUN
cord-155015-w3k7r5z9	114	23	and	and	CCONJ
cord-155015-w3k7r5z9	114	24	the	the	DET
cord-155015-w3k7r5z9	114	25	choice	choice	NOUN
cord-155015-w3k7r5z9	114	26	of	of	ADP
cord-155015-w3k7r5z9	114	27	a	a	DET
cord-155015-w3k7r5z9	114	28	utility	utility	NOUN
cord-155015-w3k7r5z9	114	29	function	function	NOUN
cord-155015-w3k7r5z9	114	30	.	.	PUNCT
cord-155015-w3k7r5z9	115	1	the	the	DET
cord-155015-w3k7r5z9	115	2	choice	choice	NOUN
cord-155015-w3k7r5z9	115	3	of	of	ADP
cord-155015-w3k7r5z9	115	4	s	s	PROPN
cord-155015-w3k7r5z9	115	5	th	th	X
cord-155015-w3k7r5z9	115	6	=	=	SYM
cord-155015-w3k7r5z9	115	7	1	1	NUM
cord-155015-w3k7r5z9	115	8	/	/	SYM
cord-155015-w3k7r5z9	115	9	r	r	NOUN
cord-155015-w3k7r5z9	115	10	as	as	ADP
cord-155015-w3k7r5z9	115	11	a	a	DET
cord-155015-w3k7r5z9	115	12	social	social	ADJ
cord-155015-w3k7r5z9	115	13	distancing	distancing	NOUN
cord-155015-w3k7r5z9	115	14	parameter	parameter	NOUN
cord-155015-w3k7r5z9	115	15	is	be	AUX
cord-155015-w3k7r5z9	115	16	not	not	PART
cord-155015-w3k7r5z9	115	17	unique	unique	ADJ
cord-155015-w3k7r5z9	115	18	.	.	PUNCT
cord-155015-w3k7r5z9	116	1	in	in	ADP
cord-155015-w3k7r5z9	116	2	the	the	DET
cord-155015-w3k7r5z9	116	3	framework	framework	NOUN
cord-155015-w3k7r5z9	116	4	of	of	ADP
cord-155015-w3k7r5z9	116	5	sir	sir	PROPN
cord-155015-w3k7r5z9	116	6	,	,	PUNCT
cord-155015-w3k7r5z9	116	7	for	for	ADP
cord-155015-w3k7r5z9	116	8	instance	instance	NOUN
cord-155015-w3k7r5z9	116	9	,	,	PUNCT
cord-155015-w3k7r5z9	116	10	another	another	DET
cord-155015-w3k7r5z9	116	11	valid	valid	ADJ
cord-155015-w3k7r5z9	116	12	candidate	candidate	NOUN
cord-155015-w3k7r5z9	116	13	is	be	AUX
cord-155015-w3k7r5z9	116	14	β	β	NOUN
cord-155015-w3k7r5z9	116	15	-the	-the	DET
cord-155015-w3k7r5z9	116	16	probability	probability	NOUN
cord-155015-w3k7r5z9	116	17	of	of	ADP
cord-155015-w3k7r5z9	116	18	disease	disease	NOUN
cord-155015-w3k7r5z9	116	19	transmission	transmission	NOUN
cord-155015-w3k7r5z9	116	20	per	per	ADP
cord-155015-w3k7r5z9	116	21	unit	unit	NOUN
cord-155015-w3k7r5z9	116	22	time	time	NOUN
cord-155015-w3k7r5z9	116	23	[	[	PUNCT
cord-155015-w3k7r5z9	116	24	6	6	NUM
cord-155015-w3k7r5z9	116	25	,	,	PUNCT
cord-155015-w3k7r5z9	116	26	7	7	NUM
cord-155015-w3k7r5z9	116	27	]	]	PUNCT
cord-155015-w3k7r5z9	116	28	.	.	PUNCT
cord-155015-w3k7r5z9	117	1	this	this	DET
cord-155015-w3k7r5z9	117	2	parameter	parameter	NOUN
cord-155015-w3k7r5z9	117	3	depends	depend	VERB
cord-155015-w3k7r5z9	117	4	both	both	PRON
cord-155015-w3k7r5z9	117	5	on	on	ADP
cord-155015-w3k7r5z9	117	6	clinics	clinic	NOUN
cord-155015-w3k7r5z9	117	7	of	of	ADP
cord-155015-w3k7r5z9	117	8	infection	infection	NOUN
cord-155015-w3k7r5z9	117	9	and	and	CCONJ
cord-155015-w3k7r5z9	117	10	the	the	DET
cord-155015-w3k7r5z9	117	11	mechanism	mechanism	NOUN
cord-155015-w3k7r5z9	117	12	of	of	ADP
cord-155015-w3k7r5z9	117	13	interpersonal	interpersonal	ADJ
cord-155015-w3k7r5z9	117	14	interactions	interaction	NOUN
cord-155015-w3k7r5z9	117	15	.	.	PUNCT
cord-155015-w3k7r5z9	118	1	the	the	DET
cord-155015-w3k7r5z9	118	2	fit	fit	NOUN
cord-155015-w3k7r5z9	118	3	of	of	ADP
cord-155015-w3k7r5z9	118	4	the	the	DET
cord-155015-w3k7r5z9	118	5	first	first	ADJ
cord-155015-w3k7r5z9	118	6	social	social	ADJ
cord-155015-w3k7r5z9	118	7	distancing	distancing	NOUN
cord-155015-w3k7r5z9	118	8	transitions	transition	NOUN
cord-155015-w3k7r5z9	118	9	(	(	PUNCT
cord-155015-w3k7r5z9	118	10	deviations	deviation	NOUN
cord-155015-w3k7r5z9	118	11	from	from	ADP
cord-155015-w3k7r5z9	118	12	sir	sir	PROPN
cord-155015-w3k7r5z9	118	13	model	model	NOUN
cord-155015-w3k7r5z9	118	14	)	)	PUNCT
cord-155015-w3k7r5z9	118	15	after	after	SCONJ
cord-155015-w3k7r5z9	118	16	covid-19	covid-19	NUM
cord-155015-w3k7r5z9	118	17	climax	climax	VERB
cord-155015-w3k7r5z9	118	18	in	in	ADP
cord-155015-w3k7r5z9	118	19	austria	austria	PROPN
cord-155015-w3k7r5z9	118	20	,	,	PUNCT
cord-155015-w3k7r5z9	118	21	germany	germany	PROPN
cord-155015-w3k7r5z9	118	22	,	,	PUNCT
cord-155015-w3k7r5z9	118	23	and	and	CCONJ
cord-155015-w3k7r5z9	118	24	israel	israel	PROPN
cord-155015-w3k7r5z9	118	25	,	,	PUNCT
cord-155015-w3k7r5z9	118	26	but	but	CCONJ
cord-155015-w3k7r5z9	118	27	,	,	PUNCT
cord-155015-w3k7r5z9	118	28	demonstrates	demonstrate	VERB
cord-155015-w3k7r5z9	118	29	that	that	SCONJ
cord-155015-w3k7r5z9	118	30	β	β	NOUN
cord-155015-w3k7r5z9	118	31	remains	remain	VERB
cord-155015-w3k7r5z9	118	32	constant	constant	ADJ
cord-155015-w3k7r5z9	118	33	during	during	ADP
cord-155015-w3k7r5z9	118	34	the	the	DET
cord-155015-w3k7r5z9	118	35	transitions	transition	NOUN
cord-155015-w3k7r5z9	118	36	.	.	PUNCT
cord-155015-w3k7r5z9	119	1	the	the	DET
cord-155015-w3k7r5z9	119	2	purpose	purpose	NOUN
cord-155015-w3k7r5z9	119	3	of	of	ADP
cord-155015-w3k7r5z9	119	4	the	the	DET
cord-155015-w3k7r5z9	119	5	fit	fit	NOUN
cord-155015-w3k7r5z9	119	6	is	be	AUX
cord-155015-w3k7r5z9	119	7	to	to	PART
cord-155015-w3k7r5z9	119	8	show	show	VERB
cord-155015-w3k7r5z9	119	9	that	that	SCONJ
cord-155015-w3k7r5z9	119	10	there	there	PRON
cord-155015-w3k7r5z9	119	11	is	be	VERB
cord-155015-w3k7r5z9	119	12	a	a	DET
cord-155015-w3k7r5z9	119	13	possibility	possibility	NOUN
cord-155015-w3k7r5z9	119	14	to	to	PART
cord-155015-w3k7r5z9	119	15	fit	fit	VERB
cord-155015-w3k7r5z9	119	16	the	the	DET
cord-155015-w3k7r5z9	119	17	real	real	ADJ
cord-155015-w3k7r5z9	119	18	data	datum	NOUN
cord-155015-w3k7r5z9	119	19	using	use	VERB
cord-155015-w3k7r5z9	119	20	many	many	ADJ
cord-155015-w3k7r5z9	119	21	transitions	transition	NOUN
cord-155015-w3k7r5z9	119	22	.	.	PUNCT
cord-155015-w3k7r5z9	120	1	a	a	X
cord-155015-w3k7r5z9	120	2	)	)	PUNCT
cord-155015-w3k7r5z9	120	3	active	active	ADJ
cord-155015-w3k7r5z9	120	4	cases	case	NOUN
cord-155015-w3k7r5z9	120	5	-reported	-reporte	VERB
cord-155015-w3k7r5z9	120	6	(	(	PUNCT
cord-155015-w3k7r5z9	120	7	dashed	dash	VERB
cord-155015-w3k7r5z9	120	8	green	green	ADJ
cord-155015-w3k7r5z9	120	9	)	)	PUNCT
cord-155015-w3k7r5z9	120	10	and	and	CCONJ
cord-155015-w3k7r5z9	120	11	calculated	calculate	VERB
cord-155015-w3k7r5z9	120	12	with	with	ADP
cord-155015-w3k7r5z9	120	13	many	many	ADJ
cord-155015-w3k7r5z9	120	14	transitions	transition	NOUN
cord-155015-w3k7r5z9	120	15	(	(	PUNCT
cord-155015-w3k7r5z9	120	16	solid	solid	ADJ
cord-155015-w3k7r5z9	120	17	blue	blue	ADJ
cord-155015-w3k7r5z9	120	18	)	)	PUNCT
cord-155015-w3k7r5z9	120	19	.	.	PUNCT
cord-155015-w3k7r5z9	121	1	before	before	ADP
cord-155015-w3k7r5z9	121	2	transitions	transition	NOUN
cord-155015-w3k7r5z9	121	3	(	(	PUNCT
cord-155015-w3k7r5z9	121	4	red	red	ADJ
cord-155015-w3k7r5z9	121	5	bars	bar	NOUN
cord-155015-w3k7r5z9	121	6	)	)	PUNCT
cord-155015-w3k7r5z9	121	7	classical	classical	ADJ
cord-155015-w3k7r5z9	121	8	sir	sir	NOUN
cord-155015-w3k7r5z9	121	9	fits	fit	VERB
cord-155015-w3k7r5z9	121	10	well	well	ADV
cord-155015-w3k7r5z9	121	11	the	the	DET
cord-155015-w3k7r5z9	121	12	reported	report	VERB
cord-155015-w3k7r5z9	121	13	active	active	ADJ
cord-155015-w3k7r5z9	121	14	cases	case	NOUN
cord-155015-w3k7r5z9	121	15	.	.	PUNCT
cord-155015-w3k7r5z9	122	1	there	there	PRON
cord-155015-w3k7r5z9	122	2	is	be	VERB
cord-155015-w3k7r5z9	122	3	a	a	DET
cord-155015-w3k7r5z9	122	4	significant	significant	ADJ
cord-155015-w3k7r5z9	122	5	deviation	deviation	NOUN
cord-155015-w3k7r5z9	122	6	of	of	ADP
cord-155015-w3k7r5z9	122	7	sir	sir	PROPN
cord-155015-w3k7r5z9	122	8	from	from	ADP
cord-155015-w3k7r5z9	122	9	reported	report	VERB
cord-155015-w3k7r5z9	122	10	cases	case	NOUN
cord-155015-w3k7r5z9	122	11	after	after	ADP
cord-155015-w3k7r5z9	122	12	the	the	DET
cord-155015-w3k7r5z9	122	13	first	first	ADJ
cord-155015-w3k7r5z9	122	14	transition	transition	NOUN
cord-155015-w3k7r5z9	122	15	(	(	PUNCT
cord-155015-w3k7r5z9	122	16	dashed	dash	VERB
cord-155015-w3k7r5z9	122	17	blue	blue	ADJ
cord-155015-w3k7r5z9	122	18	)	)	PUNCT
cord-155015-w3k7r5z9	122	19	.	.	PUNCT
cord-155015-w3k7r5z9	123	1	sirit	sirit	NOUN
cord-155015-w3k7r5z9	123	2	model	model	NOUN
cord-155015-w3k7r5z9	123	3	with	with	ADP
cord-155015-w3k7r5z9	123	4	many	many	ADJ
cord-155015-w3k7r5z9	123	5	transitions	transition	NOUN
cord-155015-w3k7r5z9	123	6	fir	fir	NOUN
cord-155015-w3k7r5z9	123	7	well	well	INTJ
cord-155015-w3k7r5z9	123	8	entire	entire	ADJ
cord-155015-w3k7r5z9	123	9	range	range	NOUN
cord-155015-w3k7r5z9	123	10	of	of	ADP
cord-155015-w3k7r5z9	123	11	the	the	DET
cord-155015-w3k7r5z9	123	12	first	first	ADJ
cord-155015-w3k7r5z9	123	13	wave	wave	NOUN
cord-155015-w3k7r5z9	123	14	,	,	PUNCT
cord-155015-w3k7r5z9	123	15	though	though	SCONJ
cord-155015-w3k7r5z9	123	16	the	the	DET
cord-155015-w3k7r5z9	123	17	fit	fit	NOUN
cord-155015-w3k7r5z9	123	18	was	be	AUX
cord-155015-w3k7r5z9	123	19	obtained	obtain	VERB
cord-155015-w3k7r5z9	123	20	using	use	VERB
cord-155015-w3k7r5z9	123	21	a	a	DET
cord-155015-w3k7r5z9	123	22	small	small	ADJ
cord-155015-w3k7r5z9	123	23	range	range	NOUN
cord-155015-w3k7r5z9	123	24	around	around	ADP
cord-155015-w3k7r5z9	123	25	the	the	DET
cord-155015-w3k7r5z9	123	26	greatest	great	ADJ
cord-155015-w3k7r5z9	123	27	of	of	ADP
cord-155015-w3k7r5z9	123	28	active	active	ADJ
cord-155015-w3k7r5z9	123	29	cases	case	NOUN
cord-155015-w3k7r5z9	123	30	and	and	CCONJ
cord-155015-w3k7r5z9	123	31	characteristics	characteristic	NOUN
cord-155015-w3k7r5z9	123	32	of	of	ADP
cord-155015-w3k7r5z9	123	33	the	the	DET
cord-155015-w3k7r5z9	123	34	first	first	ADJ
cord-155015-w3k7r5z9	123	35	transition	transition	NOUN
cord-155015-w3k7r5z9	123	36	(	(	PUNCT
cord-155015-w3k7r5z9	123	37	horizontal	horizontal	ADJ
cord-155015-w3k7r5z9	123	38	error	error	NOUN
cord-155015-w3k7r5z9	123	39	bars	bar	NOUN
cord-155015-w3k7r5z9	123	40	)	)	PUNCT
cord-155015-w3k7r5z9	123	41	.	.	PUNCT
cord-155015-w3k7r5z9	124	1	b	b	X
cord-155015-w3k7r5z9	124	2	)	)	PUNCT
cord-155015-w3k7r5z9	124	3	susceptibles	susceptible	NOUN
cord-155015-w3k7r5z9	124	4	and	and	CCONJ
cord-155015-w3k7r5z9	124	5	socal	socal	ADJ
cord-155015-w3k7r5z9	124	6	distance	distance	NOUN
cord-155015-w3k7r5z9	124	7	parameter	parameter	NOUN
cord-155015-w3k7r5z9	124	8	s	s	PROPN
cord-155015-w3k7r5z9	125	1	th	th	X
cord-155015-w3k7r5z9	125	2	.	.	PUNCT
cord-155015-w3k7r5z9	126	1	at	at	ADP
cord-155015-w3k7r5z9	126	2	each	each	DET
cord-155015-w3k7r5z9	126	3	transition	transition	NOUN
cord-155015-w3k7r5z9	126	4	s	s	X
cord-155015-w3k7r5z9	126	5	th	th	X
cord-155015-w3k7r5z9	126	6	changes	change	VERB
cord-155015-w3k7r5z9	126	7	its	its	PRON
cord-155015-w3k7r5z9	126	8	value	value	NOUN
cord-155015-w3k7r5z9	126	9	.	.	PUNCT
cord-155015-w3k7r5z9	127	1	series	series	NOUN
cord-155015-w3k7r5z9	127	2	of	of	ADP
cord-155015-w3k7r5z9	127	3	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	127	4	transitions	transition	NOUN
cord-155015-w3k7r5z9	127	5	is	be	AUX
cord-155015-w3k7r5z9	127	6	followed	follow	VERB
cord-155015-w3k7r5z9	127	7	by	by	ADP
cord-155015-w3k7r5z9	127	8	a	a	DET
cord-155015-w3k7r5z9	127	9	continuous	continuous	ADJ
cord-155015-w3k7r5z9	127	10	change	change	NOUN
cord-155015-w3k7r5z9	127	11	region	region	NOUN
cord-155015-w3k7r5z9	127	12	.	.	PUNCT
cord-155015-w3k7r5z9	128	1	c	c	X
cord-155015-w3k7r5z9	128	2	)	)	PUNCT
cord-155015-w3k7r5z9	128	3	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	128	4	deaths	death	NOUN
cord-155015-w3k7r5z9	128	5	.	.	PUNCT
cord-155015-w3k7r5z9	129	1	there	there	PRON
cord-155015-w3k7r5z9	129	2	exists	exist	VERB
cord-155015-w3k7r5z9	129	3	a	a	DET
cord-155015-w3k7r5z9	129	4	time	time	NOUN
cord-155015-w3k7r5z9	129	5	delay	delay	NOUN
cord-155015-w3k7r5z9	129	6	between	between	ADP
cord-155015-w3k7r5z9	129	7	reported	report	VERB
cord-155015-w3k7r5z9	129	8	and	and	CCONJ
cord-155015-w3k7r5z9	129	9	calculated	calculated	ADJ
cord-155015-w3k7r5z9	129	10	deaths	death	NOUN
cord-155015-w3k7r5z9	129	11	.	.	PUNCT
cord-155015-w3k7r5z9	130	1	this	this	DET
cord-155015-w3k7r5z9	130	2	delay	delay	NOUN
cord-155015-w3k7r5z9	130	3	can	can	AUX
cord-155015-w3k7r5z9	130	4	be	be	AUX
cord-155015-w3k7r5z9	130	5	explained	explain	VERB
cord-155015-w3k7r5z9	130	6	by	by	ADP
cord-155015-w3k7r5z9	130	7	the	the	DET
cord-155015-w3k7r5z9	130	8	long	long	ADJ
cord-155015-w3k7r5z9	130	9	course	course	NOUN
cord-155015-w3k7r5z9	130	10	of	of	ADP
cord-155015-w3k7r5z9	130	11	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	130	12	.	.	PUNCT
cord-155015-w3k7r5z9	131	1	an	an	DET
cord-155015-w3k7r5z9	131	2	interesting	interesting	ADJ
cord-155015-w3k7r5z9	131	3	conclusion	conclusion	NOUN
cord-155015-w3k7r5z9	131	4	of	of	ADP
cord-155015-w3k7r5z9	131	5	this	this	DET
cord-155015-w3k7r5z9	131	6	work	work	NOUN
cord-155015-w3k7r5z9	131	7	is	be	AUX
cord-155015-w3k7r5z9	131	8	that	that	PRON
cord-155015-w3k7r5z9	131	9	change	change	NOUN
cord-155015-w3k7r5z9	131	10	in	in	ADP
cord-155015-w3k7r5z9	131	11	social	social	ADJ
cord-155015-w3k7r5z9	131	12	distancing	distancing	NOUN
cord-155015-w3k7r5z9	131	13	corresponds	correspond	NOUN
cord-155015-w3k7r5z9	131	14	to	to	ADP
cord-155015-w3k7r5z9	131	15	γ	γ	PROPN
cord-155015-w3k7r5z9	131	16	-a	-a	PUNCT
cord-155015-w3k7r5z9	131	17	rate	rate	NOUN
cord-155015-w3k7r5z9	131	18	of	of	ADP
cord-155015-w3k7r5z9	131	19	becoming	become	VERB
cord-155015-w3k7r5z9	131	20	immune	immune	ADJ
cord-155015-w3k7r5z9	131	21	.	.	PUNCT
cord-155015-w3k7r5z9	132	1	transition	transition	NOUN
cord-155015-w3k7r5z9	132	2	corresponds	correspond	VERB
cord-155015-w3k7r5z9	132	3	to	to	ADP
cord-155015-w3k7r5z9	132	4	changes	change	NOUN
cord-155015-w3k7r5z9	132	5	in	in	ADP
cord-155015-w3k7r5z9	132	6	s	s	PROPN
cord-155015-w3k7r5z9	132	7	th	th	X
cord-155015-w3k7r5z9	132	8	=	=	X
cord-155015-w3k7r5z9	132	9	γ	γ	PROPN
cord-155015-w3k7r5z9	132	10	/	/	SYM
cord-155015-w3k7r5z9	132	11	β	β	NOUN
cord-155015-w3k7r5z9	132	12	while	while	SCONJ
cord-155015-w3k7r5z9	132	13	β	β	NOUN
cord-155015-w3k7r5z9	132	14	remains	remain	VERB
cord-155015-w3k7r5z9	132	15	constant	constant	ADJ
cord-155015-w3k7r5z9	132	16	.	.	PUNCT
cord-155015-w3k7r5z9	133	1	it	it	PRON
cord-155015-w3k7r5z9	133	2	seems	seem	VERB
cord-155015-w3k7r5z9	133	3	a	a	DET
cord-155015-w3k7r5z9	133	4	fallacy	fallacy	NOUN
cord-155015-w3k7r5z9	133	5	because	because	SCONJ
cord-155015-w3k7r5z9	133	6	γ	γ	PRON
cord-155015-w3k7r5z9	133	7	seems	seem	VERB
cord-155015-w3k7r5z9	133	8	to	to	PART
cord-155015-w3k7r5z9	133	9	depend	depend	VERB
cord-155015-w3k7r5z9	133	10	only	only	ADV
cord-155015-w3k7r5z9	133	11	on	on	ADP
cord-155015-w3k7r5z9	133	12	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	133	13	clinics	clinic	NOUN
cord-155015-w3k7r5z9	133	14	.	.	PUNCT
cord-155015-w3k7r5z9	134	1	even	even	ADV
cord-155015-w3k7r5z9	134	2	so	so	ADV
cord-155015-w3k7r5z9	134	3	,	,	PUNCT
cord-155015-w3k7r5z9	134	4	social	social	ADJ
cord-155015-w3k7r5z9	134	5	distancing	distancing	NOUN
cord-155015-w3k7r5z9	134	6	affects	affect	VERB
cord-155015-w3k7r5z9	134	7	γ	γ	NOUN
cord-155015-w3k7r5z9	134	8	-society	-society	NOUN
cord-155015-w3k7r5z9	134	9	on	on	ADP
cord-155015-w3k7r5z9	134	10	alert	alert	NOUN
cord-155015-w3k7r5z9	134	11	removes	remove	VERB
cord-155015-w3k7r5z9	134	12	contagious	contagious	ADJ
cord-155015-w3k7r5z9	134	13	individuals	individual	NOUN
cord-155015-w3k7r5z9	134	14	by	by	ADP
cord-155015-w3k7r5z9	134	15	distancing	distance	VERB
cord-155015-w3k7r5z9	134	16	from	from	ADP
cord-155015-w3k7r5z9	134	17	confirmed	confirm	VERB
cord-155015-w3k7r5z9	134	18	sick	sick	ADJ
cord-155015-w3k7r5z9	134	19	or	or	CCONJ
cord-155015-w3k7r5z9	134	20	even	even	ADV
cord-155015-w3k7r5z9	134	21	from	from	ADP
cord-155015-w3k7r5z9	134	22	asymptomatic	asymptomatic	ADJ
cord-155015-w3k7r5z9	134	23	cases	case	NOUN
cord-155015-w3k7r5z9	134	24	that	that	PRON
cord-155015-w3k7r5z9	134	25	had	have	VERB
cord-155015-w3k7r5z9	134	26	contact	contact	NOUN
cord-155015-w3k7r5z9	134	27	with	with	ADP
cord-155015-w3k7r5z9	134	28	a	a	DET
cord-155015-w3k7r5z9	134	29	sick	sick	ADJ
cord-155015-w3k7r5z9	134	30	person	person	NOUN
cord-155015-w3k7r5z9	134	31	.	.	PUNCT
cord-155015-w3k7r5z9	135	1	in	in	ADP
cord-155015-w3k7r5z9	135	2	an	an	DET
cord-155015-w3k7r5z9	135	3	alternative	alternative	ADJ
cord-155015-w3k7r5z9	135	4	way	way	NOUN
cord-155015-w3k7r5z9	135	5	,	,	PUNCT
cord-155015-w3k7r5z9	135	6	1	1	NUM
cord-155015-w3k7r5z9	135	7	/	/	SYM
cord-155015-w3k7r5z9	135	8	s	s	NOUN
cord-155015-w3k7r5z9	135	9	th	th	X
cord-155015-w3k7r5z9	135	10	=	=	NOUN
cord-155015-w3k7r5z9	135	11	r	r	NOUN
cord-155015-w3k7r5z9	135	12	can	can	AUX
cord-155015-w3k7r5z9	135	13	serve	serve	VERB
cord-155015-w3k7r5z9	135	14	as	as	ADP
cord-155015-w3k7r5z9	135	15	a	a	DET
cord-155015-w3k7r5z9	135	16	social	social	ADJ
cord-155015-w3k7r5z9	135	17	distancing	distancing	NOUN
cord-155015-w3k7r5z9	135	18	parameter	parameter	NOUN
cord-155015-w3k7r5z9	135	19	.	.	PUNCT
cord-155015-w3k7r5z9	136	1	this	this	DET
cord-155015-w3k7r5z9	136	2	choice	choice	NOUN
cord-155015-w3k7r5z9	136	3	does	do	AUX
cord-155015-w3k7r5z9	136	4	not	not	PART
cord-155015-w3k7r5z9	136	5	change	change	VERB
cord-155015-w3k7r5z9	136	6	major	major	ADJ
cord-155015-w3k7r5z9	136	7	predictions	prediction	NOUN
cord-155015-w3k7r5z9	136	8	or	or	CCONJ
cord-155015-w3k7r5z9	136	9	analytical	analytical	ADJ
cord-155015-w3k7r5z9	136	10	developments	development	NOUN
cord-155015-w3k7r5z9	136	11	of	of	ADP
cord-155015-w3k7r5z9	136	12	this	this	DET
cord-155015-w3k7r5z9	136	13	work	work	NOUN
cord-155015-w3k7r5z9	136	14	.	.	PUNCT
cord-155015-w3k7r5z9	137	1	the	the	DET
cord-155015-w3k7r5z9	137	2	parameter	parameter	NOUN
cord-155015-w3k7r5z9	137	3	0	0	NUM
cord-155015-w3k7r5z9	137	4	<	<	X
cord-155015-w3k7r5z9	137	5	s	s	X
cord-155015-w3k7r5z9	137	6	th	th	X
cord-155015-w3k7r5z9	137	7	<	<	X
cord-155015-w3k7r5z9	137	8	1	1	NUM
cord-155015-w3k7r5z9	137	9	that	that	PRON
cord-155015-w3k7r5z9	137	10	can	can	AUX
cord-155015-w3k7r5z9	137	11	be	be	AUX
cord-155015-w3k7r5z9	137	12	compared	compare	VERB
cord-155015-w3k7r5z9	137	13	with	with	ADP
cord-155015-w3k7r5z9	137	14	the	the	DET
cord-155015-w3k7r5z9	137	15	fraction	fraction	NOUN
cord-155015-w3k7r5z9	137	16	of	of	ADP
cord-155015-w3k7r5z9	137	17	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	137	18	in	in	ADP
cord-155015-w3k7r5z9	137	19	a	a	DET
cord-155015-w3k7r5z9	137	20	population	population	NOUN
cord-155015-w3k7r5z9	137	21	serves	serve	VERB
cord-155015-w3k7r5z9	137	22	better	well	ADJ
cord-155015-w3k7r5z9	137	23	the	the	DET
cord-155015-w3k7r5z9	137	24	purpose	purpose	NOUN
cord-155015-w3k7r5z9	137	25	of	of	ADP
cord-155015-w3k7r5z9	137	26	this	this	DET
cord-155015-w3k7r5z9	137	27	work	work	NOUN
cord-155015-w3k7r5z9	137	28	.	.	PUNCT
cord-155015-w3k7r5z9	138	1	the	the	DET
cord-155015-w3k7r5z9	138	2	price	price	NOUN
cord-155015-w3k7r5z9	138	3	of	of	ADP
cord-155015-w3k7r5z9	138	4	pandemics	pandemic	NOUN
cord-155015-w3k7r5z9	138	5	can	can	AUX
cord-155015-w3k7r5z9	138	6	go	go	VERB
cord-155015-w3k7r5z9	138	7	beyond	beyond	ADP
cord-155015-w3k7r5z9	138	8	the	the	DET
cord-155015-w3k7r5z9	138	9	final	final	ADJ
cord-155015-w3k7r5z9	138	10	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	138	11	size	size	NOUN
cord-155015-w3k7r5z9	138	12	(	(	PUNCT
cord-155015-w3k7r5z9	138	13	fes	fes	NOUN
cord-155015-w3k7r5z9	138	14	)	)	PUNCT
cord-155015-w3k7r5z9	138	15	.	.	PUNCT
cord-155015-w3k7r5z9	139	1	for	for	ADP
cord-155015-w3k7r5z9	139	2	instance	instance	NOUN
cord-155015-w3k7r5z9	139	3	,	,	PUNCT
cord-155015-w3k7r5z9	139	4	one	one	PRON
cord-155015-w3k7r5z9	139	5	may	may	AUX
cord-155015-w3k7r5z9	139	6	include	include	VERB
cord-155015-w3k7r5z9	139	7	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	139	8	of	of	ADP
cord-155015-w3k7r5z9	139	9	infected	infect	VERB
cord-155015-w3k7r5z9	139	10	in	in	ADP
cord-155015-w3k7r5z9	139	11	time	time	NOUN
cord-155015-w3k7r5z9	139	12	as	as	ADP
cord-155015-w3k7r5z9	139	13	a	a	DET
cord-155015-w3k7r5z9	139	14	psychological	psychological	ADJ
cord-155015-w3k7r5z9	139	15	factor	factor	NOUN
cord-155015-w3k7r5z9	139	16	that	that	PRON
cord-155015-w3k7r5z9	139	17	affects	affect	VERB
cord-155015-w3k7r5z9	139	18	individual	individual	ADJ
cord-155015-w3k7r5z9	139	19	decision	decision	NOUN
cord-155015-w3k7r5z9	139	20	making	making	NOUN
cord-155015-w3k7r5z9	139	21	.	.	PUNCT
cord-155015-w3k7r5z9	140	1	there	there	PRON
cord-155015-w3k7r5z9	140	2	is	be	VERB
cord-155015-w3k7r5z9	140	3	a	a	DET
cord-155015-w3k7r5z9	140	4	lot	lot	NOUN
cord-155015-w3k7r5z9	140	5	of	of	ADP
cord-155015-w3k7r5z9	140	6	room	room	NOUN
cord-155015-w3k7r5z9	140	7	to	to	PART
cord-155015-w3k7r5z9	140	8	make	make	VERB
cord-155015-w3k7r5z9	140	9	utility	utility	NOUN
cord-155015-w3k7r5z9	140	10	function	function	NOUN
cord-155015-w3k7r5z9	140	11	more	more	ADV
cord-155015-w3k7r5z9	140	12	complicated	complicated	ADJ
cord-155015-w3k7r5z9	140	13	.	.	PUNCT
cord-155015-w3k7r5z9	141	1	relative	relative	ADJ
cord-155015-w3k7r5z9	141	2	weights	weight	NOUN
cord-155015-w3k7r5z9	141	3	of	of	ADP
cord-155015-w3k7r5z9	141	4	different	different	ADJ
cord-155015-w3k7r5z9	141	5	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	141	6	characteristics	characteristic	NOUN
cord-155015-w3k7r5z9	141	7	on	on	ADP
cord-155015-w3k7r5z9	141	8	individual	individual	ADJ
cord-155015-w3k7r5z9	141	9	or	or	CCONJ
cord-155015-w3k7r5z9	141	10	government	government	NOUN
cord-155015-w3k7r5z9	141	11	decision	decision	NOUN
cord-155015-w3k7r5z9	141	12	making	making	NOUN
cord-155015-w3k7r5z9	141	13	is	be	AUX
cord-155015-w3k7r5z9	141	14	an	an	DET
cord-155015-w3k7r5z9	141	15	important	important	ADJ
cord-155015-w3k7r5z9	141	16	question	question	NOUN
cord-155015-w3k7r5z9	141	17	for	for	ADP
cord-155015-w3k7r5z9	141	18	future	future	ADJ
cord-155015-w3k7r5z9	141	19	investigations	investigation	NOUN
cord-155015-w3k7r5z9	141	20	and	and	CCONJ
cord-155015-w3k7r5z9	141	21	out	out	ADP
cord-155015-w3k7r5z9	141	22	of	of	ADP
cord-155015-w3k7r5z9	141	23	the	the	DET
cord-155015-w3k7r5z9	141	24	scope	scope	NOUN
cord-155015-w3k7r5z9	141	25	of	of	ADP
cord-155015-w3k7r5z9	141	26	this	this	DET
cord-155015-w3k7r5z9	141	27	work	work	NOUN
cord-155015-w3k7r5z9	141	28	.	.	PUNCT
cord-155015-w3k7r5z9	142	1	the	the	DET
cord-155015-w3k7r5z9	142	2	first	first	ADJ
cord-155015-w3k7r5z9	142	3	wave	wave	NOUN
cord-155015-w3k7r5z9	142	4	of	of	ADP
cord-155015-w3k7r5z9	142	5	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	142	6	in	in	ADP
cord-155015-w3k7r5z9	142	7	austria	austria	PROPN
cord-155015-w3k7r5z9	142	8	,	,	PUNCT
cord-155015-w3k7r5z9	142	9	germany	germany	PROPN
cord-155015-w3k7r5z9	142	10	,	,	PUNCT
cord-155015-w3k7r5z9	142	11	and	and	CCONJ
cord-155015-w3k7r5z9	142	12	israel	israel	PROPN
cord-155015-w3k7r5z9	142	13	was	be	AUX
cord-155015-w3k7r5z9	142	14	fitted	fit	VERB
cord-155015-w3k7r5z9	142	15	using	use	VERB
cord-155015-w3k7r5z9	142	16	sirit	sirit	NOUN
cord-155015-w3k7r5z9	142	17	in	in	ADP
cord-155015-w3k7r5z9	142	18	two	two	NUM
cord-155015-w3k7r5z9	142	19	different	different	ADJ
cord-155015-w3k7r5z9	142	20	ways	way	NOUN
cord-155015-w3k7r5z9	142	21	:	:	PUNCT
cord-155015-w3k7r5z9	142	22	the	the	DET
cord-155015-w3k7r5z9	142	23	first	first	ADJ
cord-155015-w3k7r5z9	142	24	,	,	PUNCT
cord-155015-w3k7r5z9	142	25	series	series	NOUN
cord-155015-w3k7r5z9	142	26	of	of	ADP
cord-155015-w3k7r5z9	142	27	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	142	28	transitions	transition	NOUN
cord-155015-w3k7r5z9	142	29	with	with	ADP
cord-155015-w3k7r5z9	142	30	con	con	PROPN
cord-155015-w3k7r5z9	142	31	-	-	PUNCT
cord-155015-w3k7r5z9	142	32	stant	stant	ADJ
cord-155015-w3k7r5z9	142	33	economy	economy	NOUN
cord-155015-w3k7r5z9	142	34	parameters	parameter	NOUN
cord-155015-w3k7r5z9	142	35	.	.	PUNCT
cord-155015-w3k7r5z9	143	1	the	the	DET
cord-155015-w3k7r5z9	143	2	parameters	parameter	NOUN
cord-155015-w3k7r5z9	143	3	a	a	DET
cord-155015-w3k7r5z9	143	4	open	open	ADJ
cord-155015-w3k7r5z9	143	5	,	,	PUNCT
cord-155015-w3k7r5z9	143	6	b	b	X
cord-155015-w3k7r5z9	143	7	open	open	ADJ
cord-155015-w3k7r5z9	143	8	are	be	AUX
cord-155015-w3k7r5z9	143	9	fitted	fit	VERB
cord-155015-w3k7r5z9	143	10	by	by	ADP
cord-155015-w3k7r5z9	143	11	the	the	DET
cord-155015-w3k7r5z9	143	12	first	first	ADJ
cord-155015-w3k7r5z9	143	13	transition	transition	NOUN
cord-155015-w3k7r5z9	143	14	.	.	PUNCT
cord-155015-w3k7r5z9	144	1	the	the	DET
cord-155015-w3k7r5z9	144	2	second	second	ADJ
cord-155015-w3k7r5z9	144	3	,	,	PUNCT
cord-155015-w3k7r5z9	144	4	economic	economic	ADJ
cord-155015-w3k7r5z9	144	5	weights	weight	NOUN
cord-155015-w3k7r5z9	144	6	are	be	AUX
cord-155015-w3k7r5z9	144	7	fitted	fit	VERB
cord-155015-w3k7r5z9	144	8	for	for	ADP
cord-155015-w3k7r5z9	144	9	every	every	DET
cord-155015-w3k7r5z9	144	10	candidate	candidate	NOUN
cord-155015-w3k7r5z9	144	11	transition	transition	NOUN
cord-155015-w3k7r5z9	144	12	(	(	PUNCT
cord-155015-w3k7r5z9	144	13	deviafigure	deviafigure	NOUN
cord-155015-w3k7r5z9	144	14	5	5	NUM
cord-155015-w3k7r5z9	144	15	.	.	PUNCT
cord-155015-w3k7r5z9	145	1	fit	fit	ADJ
cord-155015-w3k7r5z9	145	2	of	of	ADP
cord-155015-w3k7r5z9	145	3	israel	israel	PROPN
cord-155015-w3k7r5z9	145	4	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	145	5	1st	1st	ADJ
cord-155015-w3k7r5z9	145	6	wave	wave	NOUN
cord-155015-w3k7r5z9	145	7	.	.	PUNCT
cord-155015-w3k7r5z9	146	1	the	the	DET
cord-155015-w3k7r5z9	146	2	results	result	NOUN
cord-155015-w3k7r5z9	146	3	are	be	AUX
cord-155015-w3k7r5z9	146	4	similar	similar	ADJ
cord-155015-w3k7r5z9	146	5	to	to	ADP
cord-155015-w3k7r5z9	146	6	the	the	DET
cord-155015-w3k7r5z9	146	7	case	case	NOUN
cord-155015-w3k7r5z9	146	8	of	of	ADP
cord-155015-w3k7r5z9	146	9	austria	austria	PROPN
cord-155015-w3k7r5z9	146	10	.	.	PUNCT
cord-155015-w3k7r5z9	147	1	the	the	DET
cord-155015-w3k7r5z9	147	2	fit	fit	NOUN
cord-155015-w3k7r5z9	147	3	is	be	AUX
cord-155015-w3k7r5z9	147	4	valid	valid	ADJ
cord-155015-w3k7r5z9	147	5	until	until	ADP
cord-155015-w3k7r5z9	147	6	the	the	DET
cord-155015-w3k7r5z9	147	7	beginning	beginning	NOUN
cord-155015-w3k7r5z9	147	8	of	of	ADP
cord-155015-w3k7r5z9	147	9	the	the	DET
cord-155015-w3k7r5z9	147	10	2nd	2nd	ADJ
cord-155015-w3k7r5z9	147	11	wave	wave	NOUN
cord-155015-w3k7r5z9	147	12	about	about	ADP
cord-155015-w3k7r5z9	147	13	at	at	ADP
cord-155015-w3k7r5z9	147	14	the	the	DET
cord-155015-w3k7r5z9	147	15	70th	70th	ADJ
cord-155015-w3k7r5z9	147	16	day	day	NOUN
cord-155015-w3k7r5z9	147	17	of	of	ADP
cord-155015-w3k7r5z9	147	18	the	the	DET
cord-155015-w3k7r5z9	147	19	first	first	ADJ
cord-155015-w3k7r5z9	147	20	one	one	NUM
cord-155015-w3k7r5z9	147	21	a	a	PRON
cord-155015-w3k7r5z9	147	22	)	)	PUNCT
cord-155015-w3k7r5z9	147	23	active	active	ADJ
cord-155015-w3k7r5z9	147	24	cases	case	NOUN
cord-155015-w3k7r5z9	147	25	.	.	PUNCT
cord-155015-w3k7r5z9	148	1	a	a	DET
cord-155015-w3k7r5z9	148	2	significant	significant	ADJ
cord-155015-w3k7r5z9	148	3	deviation	deviation	NOUN
cord-155015-w3k7r5z9	148	4	exists	exist	VERB
cord-155015-w3k7r5z9	148	5	between	between	ADP
cord-155015-w3k7r5z9	148	6	reported	report	VERB
cord-155015-w3k7r5z9	148	7	and	and	CCONJ
cord-155015-w3k7r5z9	148	8	calculated	calculate	VERB
cord-155015-w3k7r5z9	148	9	active	active	ADJ
cord-155015-w3k7r5z9	148	10	cases	case	NOUN
cord-155015-w3k7r5z9	148	11	even	even	ADV
cord-155015-w3k7r5z9	148	12	before	before	ADP
cord-155015-w3k7r5z9	148	13	the	the	DET
cord-155015-w3k7r5z9	148	14	start	start	NOUN
cord-155015-w3k7r5z9	148	15	if	if	SCONJ
cord-155015-w3k7r5z9	148	16	the	the	DET
cord-155015-w3k7r5z9	148	17	second	second	ADJ
cord-155015-w3k7r5z9	148	18	wave	wave	NOUN
cord-155015-w3k7r5z9	148	19	.	.	PUNCT
cord-155015-w3k7r5z9	149	1	b	b	X
cord-155015-w3k7r5z9	149	2	)	)	PUNCT
cord-155015-w3k7r5z9	149	3	susceptible	susceptible	ADJ
cord-155015-w3k7r5z9	149	4	and	and	CCONJ
cord-155015-w3k7r5z9	149	5	s	s	NOUN
cord-155015-w3k7r5z9	149	6	th	th	X
cord-155015-w3k7r5z9	149	7	.	.	PUNCT
cord-155015-w3k7r5z9	150	1	the	the	DET
cord-155015-w3k7r5z9	150	2	social	social	ADJ
cord-155015-w3k7r5z9	150	3	distancing	distancing	NOUN
cord-155015-w3k7r5z9	150	4	parameter	parameter	NOUN
cord-155015-w3k7r5z9	150	5	s	s	PROPN
cord-155015-w3k7r5z9	150	6	th	th	PROPN
cord-155015-w3k7r5z9	150	7	remains	remain	VERB
cord-155015-w3k7r5z9	150	8	a	a	DET
cord-155015-w3k7r5z9	150	9	bit	bit	NOUN
cord-155015-w3k7r5z9	150	10	higher	high	ADJ
cord-155015-w3k7r5z9	150	11	in	in	ADP
cord-155015-w3k7r5z9	150	12	israel	israel	PROPN
cord-155015-w3k7r5z9	150	13	rather	rather	ADV
cord-155015-w3k7r5z9	150	14	than	than	ADP
cord-155015-w3k7r5z9	150	15	in	in	ADP
cord-155015-w3k7r5z9	150	16	austria	austria	PROPN
cord-155015-w3k7r5z9	150	17	or	or	CCONJ
cord-155015-w3k7r5z9	150	18	germany	germany	PROPN
cord-155015-w3k7r5z9	150	19	.	.	PUNCT
cord-155015-w3k7r5z9	151	1	c	c	X
cord-155015-w3k7r5z9	151	2	)	)	PUNCT
cord-155015-w3k7r5z9	151	3	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	151	4	deaths	death	NOUN
cord-155015-w3k7r5z9	151	5	.	.	PUNCT
cord-155015-w3k7r5z9	152	1	the	the	DET
cord-155015-w3k7r5z9	152	2	time	time	NOUN
cord-155015-w3k7r5z9	152	3	delay	delay	NOUN
cord-155015-w3k7r5z9	152	4	between	between	ADP
cord-155015-w3k7r5z9	152	5	reported	report	VERB
cord-155015-w3k7r5z9	152	6	and	and	CCONJ
cord-155015-w3k7r5z9	152	7	calculated	calculate	VERB
cord-155015-w3k7r5z9	152	8	cases	case	NOUN
cord-155015-w3k7r5z9	152	9	is	be	AUX
cord-155015-w3k7r5z9	152	10	smaller	small	ADJ
cord-155015-w3k7r5z9	152	11	than	than	ADP
cord-155015-w3k7r5z9	152	12	in	in	ADP
cord-155015-w3k7r5z9	152	13	the	the	DET
cord-155015-w3k7r5z9	152	14	case	case	NOUN
cord-155015-w3k7r5z9	152	15	of	of	ADP
cord-155015-w3k7r5z9	152	16	austria	austria	PROPN
cord-155015-w3k7r5z9	152	17	.	.	PUNCT
cord-155015-w3k7r5z9	153	1	it	it	PRON
cord-155015-w3k7r5z9	153	2	can	can	AUX
cord-155015-w3k7r5z9	153	3	be	be	AUX
cord-155015-w3k7r5z9	153	4	explained	explain	VERB
cord-155015-w3k7r5z9	153	5	either	either	CCONJ
cord-155015-w3k7r5z9	153	6	by	by	ADP
cord-155015-w3k7r5z9	153	7	late	late	ADJ
cord-155015-w3k7r5z9	153	8	or	or	CCONJ
cord-155015-w3k7r5z9	153	9	early	early	ADJ
cord-155015-w3k7r5z9	153	10	reports	report	NOUN
cord-155015-w3k7r5z9	153	11	of	of	ADP
cord-155015-w3k7r5z9	153	12	coronavirus	coronavirus	NOUN
cord-155015-w3k7r5z9	153	13	tests	test	NOUN
cord-155015-w3k7r5z9	153	14	or	or	CCONJ
cord-155015-w3k7r5z9	153	15	reported	report	VERB
cord-155015-w3k7r5z9	153	16	deaths	death	NOUN
cord-155015-w3k7r5z9	153	17	in	in	ADP
cord-155015-w3k7r5z9	153	18	israel	israel	PROPN
cord-155015-w3k7r5z9	153	19	or	or	CCONJ
cord-155015-w3k7r5z9	153	20	austria	austria	PROPN
cord-155015-w3k7r5z9	153	21	.	.	PUNCT
cord-155015-w3k7r5z9	154	1	d	d	X
cord-155015-w3k7r5z9	154	2	)	)	PUNCT
cord-155015-w3k7r5z9	154	3	alternative	alternative	NOUN
cord-155015-w3k7r5z9	154	4	fit	fit	ADJ
cord-155015-w3k7r5z9	154	5	with	with	ADP
cord-155015-w3k7r5z9	154	6	two	two	NUM
cord-155015-w3k7r5z9	154	7	transitions	transition	NOUN
cord-155015-w3k7r5z9	154	8	.	.	PUNCT
cord-155015-w3k7r5z9	155	1	tion	tion	NOUN
cord-155015-w3k7r5z9	155	2	from	from	ADP
cord-155015-w3k7r5z9	155	3	sir	sir	PROPN
cord-155015-w3k7r5z9	155	4	model	model	NOUN
cord-155015-w3k7r5z9	155	5	)	)	PUNCT
cord-155015-w3k7r5z9	155	6	.	.	PUNCT
cord-155015-w3k7r5z9	156	1	both	both	DET
cord-155015-w3k7r5z9	156	2	these	these	DET
cord-155015-w3k7r5z9	156	3	scenarios	scenario	NOUN
cord-155015-w3k7r5z9	156	4	include	include	VERB
cord-155015-w3k7r5z9	156	5	discontinuous	discontinuous	ADJ
cord-155015-w3k7r5z9	156	6	changes	change	NOUN
cord-155015-w3k7r5z9	156	7	in	in	ADP
cord-155015-w3k7r5z9	156	8	social	social	ADJ
cord-155015-w3k7r5z9	156	9	influence	influence	NOUN
cord-155015-w3k7r5z9	156	10	and	and	CCONJ
cord-155015-w3k7r5z9	156	11	have	have	VERB
cord-155015-w3k7r5z9	156	12	the	the	DET
cord-155015-w3k7r5z9	156	13	same	same	ADJ
cord-155015-w3k7r5z9	156	14	first	first	ADJ
cord-155015-w3k7r5z9	156	15	transition	transition	NOUN
cord-155015-w3k7r5z9	156	16	.	.	PUNCT
cord-155015-w3k7r5z9	157	1	all	all	DET
cord-155015-w3k7r5z9	157	2	fit	fit	ADJ
cord-155015-w3k7r5z9	157	3	attempts	attempt	NOUN
cord-155015-w3k7r5z9	157	4	of	of	ADP
cord-155015-w3k7r5z9	157	5	this	this	DET
cord-155015-w3k7r5z9	157	6	work	work	NOUN
cord-155015-w3k7r5z9	157	7	need	need	VERB
cord-155015-w3k7r5z9	157	8	parameters	parameter	NOUN
cord-155015-w3k7r5z9	157	9	of	of	ADP
cord-155015-w3k7r5z9	157	10	the	the	DET
cord-155015-w3k7r5z9	157	11	sir	sir	PROPN
cord-155015-w3k7r5z9	157	12	model	model	NOUN
cord-155015-w3k7r5z9	157	13	to	to	PART
cord-155015-w3k7r5z9	157	14	be	be	AUX
cord-155015-w3k7r5z9	157	15	constant	constant	ADJ
cord-155015-w3k7r5z9	157	16	from	from	ADP
cord-155015-w3k7r5z9	157	17	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	157	18	climax	climax	NOUN
cord-155015-w3k7r5z9	157	19	(	(	PUNCT
cord-155015-w3k7r5z9	157	20	greatest	great	ADJ
cord-155015-w3k7r5z9	157	21	number	number	NOUN
cord-155015-w3k7r5z9	157	22	of	of	ADP
cord-155015-w3k7r5z9	157	23	infected	infected	ADJ
cord-155015-w3k7r5z9	157	24	)	)	PUNCT
cord-155015-w3k7r5z9	157	25	till	till	SCONJ
cord-155015-w3k7r5z9	157	26	the	the	DET
cord-155015-w3k7r5z9	157	27	first	first	ADJ
cord-155015-w3k7r5z9	157	28	transition	transition	NOUN
cord-155015-w3k7r5z9	157	29	.	.	PUNCT
cord-155015-w3k7r5z9	158	1	deviations	deviation	NOUN
cord-155015-w3k7r5z9	158	2	from	from	ADP
cord-155015-w3k7r5z9	158	3	the	the	DET
cord-155015-w3k7r5z9	158	4	fit	fit	NOUN
cord-155015-w3k7r5z9	158	5	may	may	AUX
cord-155015-w3k7r5z9	158	6	reflect	reflect	VERB
cord-155015-w3k7r5z9	158	7	a	a	DET
cord-155015-w3k7r5z9	158	8	change	change	NOUN
cord-155015-w3k7r5z9	158	9	of	of	ADP
cord-155015-w3k7r5z9	158	10	regulation	regulation	NOUN
cord-155015-w3k7r5z9	158	11	and	and	CCONJ
cord-155015-w3k7r5z9	158	12	test	test	NOUN
cord-155015-w3k7r5z9	158	13	policies	policy	NOUN
cord-155015-w3k7r5z9	158	14	during	during	ADP
cord-155015-w3k7r5z9	158	15	the	the	DET
cord-155015-w3k7r5z9	158	16	first	first	ADJ
cord-155015-w3k7r5z9	158	17	wave	wave	NOUN
cord-155015-w3k7r5z9	158	18	.	.	PUNCT
cord-155015-w3k7r5z9	159	1	analysis	analysis	NOUN
cord-155015-w3k7r5z9	159	2	of	of	ADP
cord-155015-w3k7r5z9	159	3	the	the	DET
cord-155015-w3k7r5z9	159	4	first	first	ADJ
cord-155015-w3k7r5z9	159	5	wave	wave	NOUN
cord-155015-w3k7r5z9	159	6	predicts	predict	VERB
cord-155015-w3k7r5z9	159	7	small	small	ADJ
cord-155015-w3k7r5z9	159	8	,	,	PUNCT
cord-155015-w3k7r5z9	159	9	less	less	ADJ
cord-155015-w3k7r5z9	159	10	than	than	ADP
cord-155015-w3k7r5z9	159	11	1/10	1/10	NUM
cord-155015-w3k7r5z9	159	12	,	,	PUNCT
cord-155015-w3k7r5z9	159	13	effective	effective	ADJ
cord-155015-w3k7r5z9	159	14	population	population	NOUN
cord-155015-w3k7r5z9	159	15	size	size	NOUN
cord-155015-w3k7r5z9	159	16	in	in	ADP
cord-155015-w3k7r5z9	159	17	all	all	DET
cord-155015-w3k7r5z9	159	18	three	three	NUM
cord-155015-w3k7r5z9	159	19	tested	test	VERB
cord-155015-w3k7r5z9	159	20	countries	country	NOUN
cord-155015-w3k7r5z9	159	21	,	,	PUNCT
cord-155015-w3k7r5z9	159	22	see	see	VERB
cord-155015-w3k7r5z9	159	23	table	table	NOUN
cord-155015-w3k7r5z9	159	24	i	i	PRON
cord-155015-w3k7r5z9	159	25	.	.	PUNCT
cord-155015-w3k7r5z9	160	1	an	an	DET
cord-155015-w3k7r5z9	160	2	estimate	estimate	NOUN
cord-155015-w3k7r5z9	160	3	of	of	ADP
cord-155015-w3k7r5z9	160	4	effective	effective	ADJ
cord-155015-w3k7r5z9	160	5	population	population	NOUN
cord-155015-w3k7r5z9	160	6	size	size	NOUN
cord-155015-w3k7r5z9	160	7	depends	depend	VERB
cord-155015-w3k7r5z9	160	8	on	on	ADP
cord-155015-w3k7r5z9	160	9	the	the	DET
cord-155015-w3k7r5z9	160	10	choice	choice	NOUN
cord-155015-w3k7r5z9	160	11	of	of	ADP
cord-155015-w3k7r5z9	160	12	m	m	ADJ
cord-155015-w3k7r5z9	160	13	-infected	-infected	ADJ
cord-155015-w3k7r5z9	160	14	fatality	fatality	NOUN
cord-155015-w3k7r5z9	160	15	rate	rate	NOUN
cord-155015-w3k7r5z9	160	16	(	(	PUNCT
cord-155015-w3k7r5z9	160	17	ifr	ifr	ADV
cord-155015-w3k7r5z9	160	18	)	)	PUNCT
cord-155015-w3k7r5z9	160	19	.	.	PUNCT
cord-155015-w3k7r5z9	161	1	increase	increase	NOUN
cord-155015-w3k7r5z9	161	2	/	/	SYM
cord-155015-w3k7r5z9	161	3	reduction	reduction	NOUN
cord-155015-w3k7r5z9	161	4	in	in	ADP
cord-155015-w3k7r5z9	161	5	m	m	NOUN
cord-155015-w3k7r5z9	161	6	causes	cause	VERB
cord-155015-w3k7r5z9	161	7	proportional	proportional	ADJ
cord-155015-w3k7r5z9	161	8	reduction	reduction	NOUN
cord-155015-w3k7r5z9	161	9	/	/	SYM
cord-155015-w3k7r5z9	161	10	increase	increase	NOUN
cord-155015-w3k7r5z9	161	11	in	in	ADP
cord-155015-w3k7r5z9	161	12	effective	effective	ADJ
cord-155015-w3k7r5z9	161	13	population	population	NOUN
cord-155015-w3k7r5z9	161	14	size	size	NOUN
cord-155015-w3k7r5z9	161	15	n	n	NOUN
cord-155015-w3k7r5z9	161	16	and	and	CCONJ
cord-155015-w3k7r5z9	161	17	predicted	predict	VERB
cord-155015-w3k7r5z9	161	18	ration	ration	NOUN
cord-155015-w3k7r5z9	161	19	a	a	DET
cord-155015-w3k7r5z9	161	20	′	′	NOUN
cord-155015-w3k7r5z9	161	21	between	between	ADP
cord-155015-w3k7r5z9	161	22	reported	reported	ADJ
cord-155015-w3k7r5z9	161	23	and	and	CCONJ
cord-155015-w3k7r5z9	161	24	real	real	ADJ
cord-155015-w3k7r5z9	161	25	numbers	number	NOUN
cord-155015-w3k7r5z9	161	26	of	of	ADP
cord-155015-w3k7r5z9	161	27	infected	infect	VERB
cord-155015-w3k7r5z9	161	28	.	.	PUNCT
cord-155015-w3k7r5z9	162	1	these	these	DET
cord-155015-w3k7r5z9	162	2	values	value	NOUN
cord-155015-w3k7r5z9	162	3	in	in	ADP
cord-155015-w3k7r5z9	162	4	table	table	NOUN
cord-155015-w3k7r5z9	162	5	i	i	PRON
cord-155015-w3k7r5z9	162	6	correspond	correspond	VERB
cord-155015-w3k7r5z9	162	7	to	to	AUX
cord-155015-w3k7r5z9	162	8	m	m	VERB
cord-155015-w3k7r5z9	162	9	=	=	X
cord-155015-w3k7r5z9	162	10	0.1	0.1	NUM
cord-155015-w3k7r5z9	162	11	%	%	NOUN
cord-155015-w3k7r5z9	162	12	.	.	PUNCT
cord-155015-w3k7r5z9	163	1	the	the	DET
cord-155015-w3k7r5z9	163	2	reported	reported	ADJ
cord-155015-w3k7r5z9	163	3	value	value	NOUN
cord-155015-w3k7r5z9	163	4	of	of	ADP
cord-155015-w3k7r5z9	163	5	m	m	PRON
cord-155015-w3k7r5z9	163	6	for	for	ADP
cord-155015-w3k7r5z9	163	7	germany	germany	PROPN
cord-155015-w3k7r5z9	163	8	is	be	AUX
cord-155015-w3k7r5z9	163	9	0.37	0.37	NUM
cord-155015-w3k7r5z9	163	10	%	%	NOUN
cord-155015-w3k7r5z9	163	11	[	[	PUNCT
cord-155015-w3k7r5z9	163	12	28	28	NUM
cord-155015-w3k7r5z9	163	13	]	]	PUNCT
cord-155015-w3k7r5z9	163	14	.	.	PUNCT
cord-155015-w3k7r5z9	164	1	thus	thus	ADV
cord-155015-w3k7r5z9	164	2	n	n	ADV
cord-155015-w3k7r5z9	164	3	and	and	CCONJ
cord-155015-w3k7r5z9	164	4	a	a	DET
cord-155015-w3k7r5z9	164	5	′	′	NOUN
cord-155015-w3k7r5z9	164	6	maybe	maybe	ADV
cord-155015-w3k7r5z9	164	7	about	about	ADP
cord-155015-w3k7r5z9	164	8	×4	×4	NOUN
cord-155015-w3k7r5z9	164	9	lower	low	ADJ
cord-155015-w3k7r5z9	164	10	than	than	ADP
cord-155015-w3k7r5z9	164	11	in	in	ADP
cord-155015-w3k7r5z9	164	12	table	table	NOUN
cord-155015-w3k7r5z9	164	13	i	i	PRON
cord-155015-w3k7r5z9	164	14	.	.	PUNCT
cord-155015-w3k7r5z9	165	1	nevertheless	nevertheless	ADV
cord-155015-w3k7r5z9	165	2	m	m	VERB
cord-155015-w3k7r5z9	165	3	as	as	ADV
cord-155015-w3k7r5z9	165	4	low	low	ADJ
cord-155015-w3k7r5z9	165	5	as	as	ADP
cord-155015-w3k7r5z9	165	6	0.17	0.17	NUM
cord-155015-w3k7r5z9	165	7	%	%	NOUN
cord-155015-w3k7r5z9	165	8	were	be	AUX
cord-155015-w3k7r5z9	165	9	reported	report	VERB
cord-155015-w3k7r5z9	165	10	[	[	X
cord-155015-w3k7r5z9	165	11	31	31	NUM
cord-155015-w3k7r5z9	165	12	]	]	PUNCT
cord-155015-w3k7r5z9	165	13	.	.	PUNCT
cord-155015-w3k7r5z9	166	1	all	all	DET
cord-155015-w3k7r5z9	166	2	other	other	ADJ
cord-155015-w3k7r5z9	166	3	prediction	prediction	NOUN
cord-155015-w3k7r5z9	166	4	or	or	CCONJ
cord-155015-w3k7r5z9	166	5	results	result	NOUN
cord-155015-w3k7r5z9	166	6	of	of	ADP
cord-155015-w3k7r5z9	166	7	this	this	DET
cord-155015-w3k7r5z9	166	8	work	work	NOUN
cord-155015-w3k7r5z9	166	9	,	,	PUNCT
cord-155015-w3k7r5z9	166	10	including	include	VERB
cord-155015-w3k7r5z9	166	11	the	the	DET
cord-155015-w3k7r5z9	166	12	graphs	graph	NOUN
cord-155015-w3k7r5z9	166	13	,	,	PUNCT
cord-155015-w3k7r5z9	166	14	are	be	AUX
cord-155015-w3k7r5z9	166	15	independent	independent	ADJ
cord-155015-w3k7r5z9	166	16	of	of	ADP
cord-155015-w3k7r5z9	166	17	m	m	NUM
cord-155015-w3k7r5z9	166	18	.	.	PUNCT
cord-155015-w3k7r5z9	167	1	mortality	mortality	NOUN
cord-155015-w3k7r5z9	167	2	rate	rate	NOUN
cord-155015-w3k7r5z9	167	3	m	m	VERB
cord-155015-w3k7r5z9	167	4	>	>	X
cord-155015-w3k7r5z9	167	5	0.3	0.3	NUM
cord-155015-w3k7r5z9	167	6	%	%	NOUN
cord-155015-w3k7r5z9	167	7	causes	cause	VERB
cord-155015-w3k7r5z9	167	8	non	non	ADJ
cord-155015-w3k7r5z9	167	9	-	-	ADJ
cord-155015-w3k7r5z9	167	10	physical	physical	ADJ
cord-155015-w3k7r5z9	167	11	a	a	DET
cord-155015-w3k7r5z9	167	12	′	′	X
cord-155015-w3k7r5z9	167	13	<	<	X
cord-155015-w3k7r5z9	167	14	1	1	NUM
cord-155015-w3k7r5z9	167	15	in	in	ADP
cord-155015-w3k7r5z9	167	16	case	case	NOUN
cord-155015-w3k7r5z9	167	17	of	of	ADP
cord-155015-w3k7r5z9	167	18	israel	israel	PROPN
cord-155015-w3k7r5z9	167	19	.	.	PUNCT
cord-155015-w3k7r5z9	168	1	an	an	DET
cord-155015-w3k7r5z9	168	2	explanation	explanation	NOUN
cord-155015-w3k7r5z9	168	3	of	of	ADP
cord-155015-w3k7r5z9	168	4	low	low	NOUN
cord-155015-w3k7r5z9	168	5	n	n	ADV
cord-155015-w3k7r5z9	168	6	may	may	AUX
cord-155015-w3k7r5z9	168	7	be	be	AUX
cord-155015-w3k7r5z9	168	8	that	that	SCONJ
cord-155015-w3k7r5z9	168	9	the	the	DET
cord-155015-w3k7r5z9	168	10	ini	ini	NOUN
cord-155015-w3k7r5z9	168	11	-	-	PUNCT
cord-155015-w3k7r5z9	168	12	tial	tial	ADJ
cord-155015-w3k7r5z9	168	13	lockdown	lockdown	NOUN
cord-155015-w3k7r5z9	168	14	separated	separate	VERB
cord-155015-w3k7r5z9	168	15	the	the	DET
cord-155015-w3k7r5z9	168	16	population	population	NOUN
cord-155015-w3k7r5z9	168	17	in	in	ADP
cord-155015-w3k7r5z9	168	18	disconnected	disconnected	ADJ
cord-155015-w3k7r5z9	168	19	domains	domain	NOUN
cord-155015-w3k7r5z9	168	20	[	[	PUNCT
cord-155015-w3k7r5z9	168	21	32	32	NUM
cord-155015-w3k7r5z9	168	22	,	,	PUNCT
cord-155015-w3k7r5z9	168	23	33	33	NUM
cord-155015-w3k7r5z9	168	24	]	]	PUNCT
cord-155015-w3k7r5z9	168	25	and	and	CCONJ
cord-155015-w3k7r5z9	168	26	the	the	DET
cord-155015-w3k7r5z9	168	27	wave	wave	NOUN
cord-155015-w3k7r5z9	168	28	of	of	ADP
cord-155015-w3k7r5z9	168	29	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	168	30	occurred	occur	VERB
cord-155015-w3k7r5z9	168	31	in	in	ADP
cord-155015-w3k7r5z9	168	32	a	a	DET
cord-155015-w3k7r5z9	168	33	limited	limited	ADJ
cord-155015-w3k7r5z9	168	34	number	number	NOUN
cord-155015-w3k7r5z9	168	35	of	of	ADP
cord-155015-w3k7r5z9	168	36	domains	domain	NOUN
cord-155015-w3k7r5z9	168	37	.	.	PUNCT
cord-155015-w3k7r5z9	169	1	the	the	DET
cord-155015-w3k7r5z9	169	2	other	other	ADJ
cord-155015-w3k7r5z9	169	3	possible	possible	ADJ
cord-155015-w3k7r5z9	169	4	explanation	explanation	NOUN
cord-155015-w3k7r5z9	169	5	is	be	AUX
cord-155015-w3k7r5z9	169	6	that	that	SCONJ
cord-155015-w3k7r5z9	169	7	a	a	DET
cord-155015-w3k7r5z9	169	8	significant	significant	ADJ
cord-155015-w3k7r5z9	169	9	part	part	NOUN
cord-155015-w3k7r5z9	169	10	of	of	ADP
cord-155015-w3k7r5z9	169	11	the	the	DET
cord-155015-w3k7r5z9	169	12	population	population	NOUN
cord-155015-w3k7r5z9	169	13	is	be	AUX
cord-155015-w3k7r5z9	169	14	immune	immune	ADJ
cord-155015-w3k7r5z9	169	15	to	to	ADP
cord-155015-w3k7r5z9	169	16	covid-19	covid-19	PROPN
cord-155015-w3k7r5z9	169	17	[	[	PUNCT
cord-155015-w3k7r5z9	169	18	34	34	NUM
cord-155015-w3k7r5z9	169	19	]	]	PUNCT
cord-155015-w3k7r5z9	169	20	.	.	PUNCT
cord-155015-w3k7r5z9	170	1	finally	finally	ADV
cord-155015-w3k7r5z9	170	2	,	,	PUNCT
cord-155015-w3k7r5z9	170	3	sir	sir	PROPN
cord-155015-w3k7r5z9	170	4	approach	approach	NOUN
cord-155015-w3k7r5z9	170	5	with	with	ADP
cord-155015-w3k7r5z9	170	6	quasi	quasi	ADJ
cord-155015-w3k7r5z9	170	7	-	-	ADJ
cord-155015-w3k7r5z9	170	8	constant	constant	ADJ
cord-155015-w3k7r5z9	170	9	parameters	parameter	NOUN
cord-155015-w3k7r5z9	170	10	may	may	AUX
cord-155015-w3k7r5z9	170	11	be	be	AUX
cord-155015-w3k7r5z9	170	12	an	an	DET
cord-155015-w3k7r5z9	170	13	oversimplified	oversimplified	ADJ
cord-155015-w3k7r5z9	170	14	presentation	presentation	NOUN
cord-155015-w3k7r5z9	170	15	of	of	ADP
cord-155015-w3k7r5z9	170	16	reality	reality	NOUN
cord-155015-w3k7r5z9	170	17	.	.	PUNCT
cord-155015-w3k7r5z9	171	1	small	small	ADJ
cord-155015-w3k7r5z9	171	2	effective	effective	ADJ
cord-155015-w3k7r5z9	171	3	population	population	NOUN
cord-155015-w3k7r5z9	171	4	size	size	NOUN
cord-155015-w3k7r5z9	171	5	during	during	ADP
cord-155015-w3k7r5z9	171	6	the	the	DET
cord-155015-w3k7r5z9	171	7	first	first	ADJ
cord-155015-w3k7r5z9	171	8	wave	wave	NOUN
cord-155015-w3k7r5z9	171	9	may	may	AUX
cord-155015-w3k7r5z9	171	10	indicate	indicate	VERB
cord-155015-w3k7r5z9	171	11	a	a	DET
cord-155015-w3k7r5z9	171	12	danger	danger	NOUN
cord-155015-w3k7r5z9	171	13	of	of	ADP
cord-155015-w3k7r5z9	171	14	abrupt	abrupt	ADJ
cord-155015-w3k7r5z9	171	15	transition	transition	NOUN
cord-155015-w3k7r5z9	171	16	to	to	ADP
cord-155015-w3k7r5z9	171	17	a	a	DET
cord-155015-w3k7r5z9	171	18	bigger	big	ADJ
cord-155015-w3k7r5z9	171	19	population	population	NOUN
cord-155015-w3k7r5z9	171	20	size	size	NOUN
cord-155015-w3k7r5z9	171	21	when	when	SCONJ
cord-155015-w3k7r5z9	171	22	s	s	PROPN
cord-155015-w3k7r5z9	171	23	th	th	X
cord-155015-w3k7r5z9	171	24	reduces	reduce	VERB
cord-155015-w3k7r5z9	171	25	below	below	ADP
cord-155015-w3k7r5z9	171	26	some	some	DET
cord-155015-w3k7r5z9	171	27	critical	critical	ADJ
cord-155015-w3k7r5z9	171	28	value	value	NOUN
cord-155015-w3k7r5z9	171	29	.	.	PUNCT
cord-155015-w3k7r5z9	172	1	it	it	PRON
cord-155015-w3k7r5z9	172	2	may	may	AUX
cord-155015-w3k7r5z9	172	3	result	result	VERB
cord-155015-w3k7r5z9	172	4	in	in	ADP
cord-155015-w3k7r5z9	172	5	a	a	DET
cord-155015-w3k7r5z9	172	6	significant	significant	ADJ
cord-155015-w3k7r5z9	172	7	second	second	ADJ
cord-155015-w3k7r5z9	172	8	wave	wave	NOUN
cord-155015-w3k7r5z9	172	9	of	of	ADP
cord-155015-w3k7r5z9	172	10	the	the	DET
cord-155015-w3k7r5z9	172	11	epidemy	epidemy	NOUN
cord-155015-w3k7r5z9	172	12	.	.	PUNCT
cord-155015-w3k7r5z9	173	1	the	the	DET
cord-155015-w3k7r5z9	173	2	critical	critical	ADJ
cord-155015-w3k7r5z9	173	3	value	value	NOUN
cord-155015-w3k7r5z9	173	4	of	of	ADP
cord-155015-w3k7r5z9	173	5	the	the	DET
cord-155015-w3k7r5z9	173	6	basic	basic	ADJ
cord-155015-w3k7r5z9	173	7	reproduction	reproduction	NOUN
cord-155015-w3k7r5z9	173	8	number	number	NOUN
cord-155015-w3k7r5z9	173	9	was	be	AUX
cord-155015-w3k7r5z9	173	10	reported	report	VERB
cord-155015-w3k7r5z9	173	11	for	for	ADP
cord-155015-w3k7r5z9	173	12	some	some	DET
cord-155015-w3k7r5z9	173	13	interaction	interaction	NOUN
cord-155015-w3k7r5z9	173	14	networks	network	NOUN
cord-155015-w3k7r5z9	173	15	[	[	X
cord-155015-w3k7r5z9	173	16	33	33	NUM
cord-155015-w3k7r5z9	173	17	,	,	PUNCT
cord-155015-w3k7r5z9	173	18	35	35	NUM
cord-155015-w3k7r5z9	173	19	]	]	PUNCT
cord-155015-w3k7r5z9	173	20	,	,	PUNCT
cord-155015-w3k7r5z9	173	21	while	while	SCONJ
cord-155015-w3k7r5z9	173	22	the	the	DET
cord-155015-w3k7r5z9	173	23	majority	majority	NOUN
cord-155015-w3k7r5z9	173	24	of	of	ADP
cord-155015-w3k7r5z9	173	25	the	the	DET
cord-155015-w3k7r5z9	173	26	networks	network	NOUN
cord-155015-w3k7r5z9	173	27	lack	lack	VERB
cord-155015-w3k7r5z9	173	28	it	it	PRON
cord-155015-w3k7r5z9	173	29	[	[	PUNCT
cord-155015-w3k7r5z9	173	30	32	32	NUM
cord-155015-w3k7r5z9	173	31	,	,	PUNCT
cord-155015-w3k7r5z9	173	32	36	36	NUM
cord-155015-w3k7r5z9	173	33	]	]	PUNCT
cord-155015-w3k7r5z9	173	34	.	.	PUNCT
cord-155015-w3k7r5z9	174	1	to	to	PART
cord-155015-w3k7r5z9	174	2	conclude	conclude	VERB
cord-155015-w3k7r5z9	174	3	,	,	PUNCT
cord-155015-w3k7r5z9	174	4	this	this	DET
cord-155015-w3k7r5z9	174	5	work	work	NOUN
cord-155015-w3k7r5z9	174	6	predicts	predict	VERB
cord-155015-w3k7r5z9	174	7	observable	observable	ADJ
cord-155015-w3k7r5z9	174	8	transitions	transition	NOUN
cord-155015-w3k7r5z9	174	9	of	of	ADP
cord-155015-w3k7r5z9	174	10	social	social	ADJ
cord-155015-w3k7r5z9	174	11	distancing	distancing	NOUN
cord-155015-w3k7r5z9	174	12	and	and	CCONJ
cord-155015-w3k7r5z9	174	13	provides	provide	VERB
cord-155015-w3k7r5z9	174	14	tools	tool	NOUN
cord-155015-w3k7r5z9	174	15	for	for	ADP
cord-155015-w3k7r5z9	174	16	quantitative	quantitative	ADJ
cord-155015-w3k7r5z9	174	17	analysis	analysis	NOUN
cord-155015-w3k7r5z9	174	18	of	of	ADP
cord-155015-w3k7r5z9	174	19	pandemic	pandemic	ADJ
cord-155015-w3k7r5z9	174	20	waves	wave	NOUN
cord-155015-w3k7r5z9	174	21	.	.	PUNCT
cord-155015-w3k7r5z9	175	1	observable	observable	ADJ
cord-155015-w3k7r5z9	175	2	phenomena	phenomenon	NOUN
cord-155015-w3k7r5z9	175	3	are	be	AUX
cord-155015-w3k7r5z9	175	4	essential	essential	ADJ
cord-155015-w3k7r5z9	175	5	to	to	PART
cord-155015-w3k7r5z9	175	6	test	test	VERB
cord-155015-w3k7r5z9	175	7	the	the	DET
cord-155015-w3k7r5z9	175	8	validity	validity	NOUN
cord-155015-w3k7r5z9	175	9	of	of	ADP
cord-155015-w3k7r5z9	175	10	human	human	ADJ
cord-155015-w3k7r5z9	175	11	behavior	behavior	NOUN
cord-155015-w3k7r5z9	175	12	modeling	model	VERB
cord-155015-w3k7r5z9	175	13	.	.	PUNCT
cord-155015-w3k7r5z9	176	1	the	the	DET
cord-155015-w3k7r5z9	176	2	tools	tool	NOUN
cord-155015-w3k7r5z9	176	3	,	,	PUNCT
cord-155015-w3k7r5z9	176	4	as	as	ADP
cord-155015-w3k7r5z9	176	5	sir	sir	PROPN
cord-155015-w3k7r5z9	176	6	model	model	NOUN
cord-155015-w3k7r5z9	176	7	itself	itself	PRON
cord-155015-w3k7r5z9	176	8	,	,	PUNCT
cord-155015-w3k7r5z9	176	9	contribute	contribute	VERB
cord-155015-w3k7r5z9	176	10	to	to	ADP
cord-155015-w3k7r5z9	176	11	social	social	ADJ
cord-155015-w3k7r5z9	176	12	epidemiology	epidemiology	NOUN
cord-155015-w3k7r5z9	176	13	[	[	PUNCT
cord-155015-w3k7r5z9	176	14	37	37	NUM
cord-155015-w3k7r5z9	176	15	]	]	PUNCT
cord-155015-w3k7r5z9	176	16	and	and	CCONJ
cord-155015-w3k7r5z9	176	17	,	,	PUNCT
cord-155015-w3k7r5z9	176	18	to	to	PART
cord-155015-w3k7r5z9	176	19	spread	spread	VERB
cord-155015-w3k7r5z9	176	20	of	of	ADP
cord-155015-w3k7r5z9	176	21	non	non	ADJ
cord-155015-w3k7r5z9	176	22	-	-	ADJ
cord-155015-w3k7r5z9	176	23	contagious	contagious	ADJ
cord-155015-w3k7r5z9	176	24	but	but	CCONJ
cord-155015-w3k7r5z9	176	25	"	"	PUNCT
cord-155015-w3k7r5z9	176	26	going	go	VERB
cord-155015-w3k7r5z9	176	27	-	-	PUNCT
cord-155015-w3k7r5z9	176	28	viral	viral	ADJ
cord-155015-w3k7r5z9	176	29	"	"	PUNCT
cord-155015-w3k7r5z9	176	30	phenomena	phenomenon	NOUN
cord-155015-w3k7r5z9	176	31	[	[	X
cord-155015-w3k7r5z9	176	32	38	38	NUM
cord-155015-w3k7r5z9	176	33	]	]	PUNCT
cord-155015-w3k7r5z9	176	34	.	.	PUNCT
cord-155015-w3k7r5z9	176	35	appendix	appendix	VERB
cord-155015-w3k7r5z9	176	36	a	a	DET
cord-155015-w3k7r5z9	176	37	:	:	PUNCT
cord-155015-w3k7r5z9	176	38	analytic	analytic	ADJ
cord-155015-w3k7r5z9	176	39	solution	solution	NOUN
cord-155015-w3k7r5z9	176	40	of	of	ADP
cord-155015-w3k7r5z9	176	41	(	(	PUNCT
cord-155015-w3k7r5z9	176	42	1	1	X
cord-155015-w3k7r5z9	176	43	)	)	PUNCT
cord-155015-w3k7r5z9	176	44	the	the	DET
cord-155015-w3k7r5z9	176	45	first	first	ADJ
cord-155015-w3k7r5z9	176	46	two	two	NUM
cord-155015-w3k7r5z9	176	47	equations	equation	NOUN
cord-155015-w3k7r5z9	176	48	of	of	ADP
cord-155015-w3k7r5z9	176	49	(	(	PUNCT
cord-155015-w3k7r5z9	176	50	1	1	NUM
cord-155015-w3k7r5z9	176	51	)	)	PUNCT
cord-155015-w3k7r5z9	176	52	may	may	AUX
cord-155015-w3k7r5z9	176	53	be	be	AUX
cord-155015-w3k7r5z9	176	54	rewritten	rewrite	VERB
cord-155015-w3k7r5z9	176	55	as	as	ADP
cord-155015-w3k7r5z9	176	56	:	:	PUNCT
cord-155015-w3k7r5z9	176	57	using	use	VERB
cord-155015-w3k7r5z9	176	58	transformation	transformation	PROPN
cord-155015-w3k7r5z9	176	59	∂	∂	PROPN
cord-155015-w3k7r5z9	176	60	log	log	PROPN
cord-155015-w3k7r5z9	176	61	i	i	PROPN
cord-155015-w3k7r5z9	176	62	∂t	∂t	PROPN
cord-155015-w3k7r5z9	176	63	=	=	PROPN
cord-155015-w3k7r5z9	176	64	z	z	PROPN
cord-155015-w3k7r5z9	176	65	,	,	PUNCT
cord-155015-w3k7r5z9	176	66	∂z	∂z	PROPN
cord-155015-w3k7r5z9	177	1	∂t	∂t	PROPN
cord-155015-w3k7r5z9	177	2	=	=	SYM
cord-155015-w3k7r5z9	177	3	∂z	∂z	PROPN
cord-155015-w3k7r5z9	177	4	∂	∂	PROPN
cord-155015-w3k7r5z9	177	5	log	log	PROPN
cord-155015-w3k7r5z9	177	6	i	i	PRON
cord-155015-w3k7r5z9	178	1	∂	∂	PROPN
cord-155015-w3k7r5z9	179	1	log	log	VERB
cord-155015-w3k7r5z9	179	2	i	i	PROPN
cord-155015-w3k7r5z9	180	1	∂t	∂t	PROPN
cord-155015-w3k7r5z9	180	2	=	=	SYM
cord-155015-w3k7r5z9	180	3	∂z	∂z	PROPN
cord-155015-w3k7r5z9	180	4	∂	∂	PROPN
cord-155015-w3k7r5z9	180	5	log	log	VERB
cord-155015-w3k7r5z9	180	6	i	i	PRON
cord-155015-w3k7r5z9	180	7	z	z	NOUN
cord-155015-w3k7r5z9	180	8	,	,	PUNCT
cord-155015-w3k7r5z9	180	9	x	x	PROPN
cord-155015-w3k7r5z9	180	10	=	=	PROPN
cord-155015-w3k7r5z9	180	11	log	log	PROPN
cord-155015-w3k7r5z9	180	12	i.	i.	PROPN
cord-155015-w3k7r5z9	180	13	integration	integration	NOUN
cord-155015-w3k7r5z9	180	14	of	of	ADP
cord-155015-w3k7r5z9	180	15	(	(	PUNCT
cord-155015-w3k7r5z9	180	16	a1	a1	PROPN
cord-155015-w3k7r5z9	180	17	)	)	PUNCT
cord-155015-w3k7r5z9	180	18	results	result	NOUN
cord-155015-w3k7r5z9	180	19	in	in	ADP
cord-155015-w3k7r5z9	180	20	:	:	PUNCT
cord-155015-w3k7r5z9	180	21	let	let	VERB
cord-155015-w3k7r5z9	180	22	us	we	PRON
cord-155015-w3k7r5z9	180	23	notice	notice	VERB
cord-155015-w3k7r5z9	180	24	that	that	SCONJ
cord-155015-w3k7r5z9	180	25	s	s	X
cord-155015-w3k7r5z9	180	26	th	th	X
cord-155015-w3k7r5z9	180	27	,	,	PUNCT
cord-155015-w3k7r5z9	180	28	f	f	PROPN
cord-155015-w3k7r5z9	180	29	(	(	PUNCT
cord-155015-w3k7r5z9	180	30	s	s	X
cord-155015-w3k7r5z9	180	31	th	th	X
cord-155015-w3k7r5z9	180	32	)	)	PUNCT
cord-155015-w3k7r5z9	180	33	and	and	CCONJ
cord-155015-w3k7r5z9	180	34	w	w	PROPN
cord-155015-w3k7r5z9	180	35	(	(	PUNCT
cord-155015-w3k7r5z9	180	36	f	f	PROPN
cord-155015-w3k7r5z9	180	37	(	(	PUNCT
cord-155015-w3k7r5z9	180	38	s	s	X
cord-155015-w3k7r5z9	180	39	th	th	X
cord-155015-w3k7r5z9	180	40	)	)	PUNCT
cord-155015-w3k7r5z9	180	41	)	)	PUNCT
cord-155015-w3k7r5z9	180	42	are	be	AUX
cord-155015-w3k7r5z9	180	43	constant	constant	ADJ
cord-155015-w3k7r5z9	180	44	along	along	ADP
cord-155015-w3k7r5z9	180	45	trajectory	trajectory	NOUN
cord-155015-w3k7r5z9	180	46	(	(	PUNCT
cord-155015-w3k7r5z9	180	47	s	s	NOUN
cord-155015-w3k7r5z9	180	48	t	t	NOUN
cord-155015-w3k7r5z9	180	49	,	,	PUNCT
cord-155015-w3k7r5z9	180	50	i	i	PRON
cord-155015-w3k7r5z9	180	51	t	t	NOUN
cord-155015-w3k7r5z9	180	52	)	)	PUNCT
cord-155015-w3k7r5z9	180	53	until	until	ADP
cord-155015-w3k7r5z9	180	54	value	value	NOUN
cord-155015-w3k7r5z9	180	55	of	of	ADP
cord-155015-w3k7r5z9	180	56	s	s	NOUN
cord-155015-w3k7r5z9	180	57	th	th	X
cord-155015-w3k7r5z9	180	58	changes	change	NOUN
cord-155015-w3k7r5z9	180	59	by	by	ADP
cord-155015-w3k7r5z9	180	60	a	a	DET
cord-155015-w3k7r5z9	180	61	transition	transition	NOUN
cord-155015-w3k7r5z9	180	62	.	.	PUNCT
cord-155015-w3k7r5z9	181	1	the	the	DET
cord-155015-w3k7r5z9	181	2	values	value	NOUN
cord-155015-w3k7r5z9	181	3	f	f	PROPN
cord-155015-w3k7r5z9	181	4	(	(	PUNCT
cord-155015-w3k7r5z9	181	5	s	s	NOUN
cord-155015-w3k7r5z9	181	6	th	th	X
cord-155015-w3k7r5z9	181	7	)	)	PUNCT
cord-155015-w3k7r5z9	181	8	and	and	CCONJ
cord-155015-w3k7r5z9	181	9	w	w	PROPN
cord-155015-w3k7r5z9	181	10	(	(	PUNCT
cord-155015-w3k7r5z9	181	11	f	f	PROPN
cord-155015-w3k7r5z9	181	12	(	(	PUNCT
cord-155015-w3k7r5z9	181	13	s	s	X
cord-155015-w3k7r5z9	181	14	th	th	X
cord-155015-w3k7r5z9	181	15	)	)	PUNCT
cord-155015-w3k7r5z9	181	16	):	):	PUNCT
cord-155015-w3k7r5z9	181	17	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	181	18	of	of	ADP
cord-155015-w3k7r5z9	181	19	log	log	PROPN
cord-155015-w3k7r5z9	181	20	w	w	PROPN
cord-155015-w3k7r5z9	181	21	(	(	PUNCT
cord-155015-w3k7r5z9	181	22	f	f	PROPN
cord-155015-w3k7r5z9	181	23	)	)	PUNCT
cord-155015-w3k7r5z9	181	24	due	due	ADP
cord-155015-w3k7r5z9	181	25	to	to	ADP
cord-155015-w3k7r5z9	181	26	f	f	PROPN
cord-155015-w3k7r5z9	181	27	are	be	AUX
cord-155015-w3k7r5z9	181	28	invariant	invariant	ADJ
cord-155015-w3k7r5z9	181	29	along	along	ADP
cord-155015-w3k7r5z9	181	30	(	(	PUNCT
cord-155015-w3k7r5z9	181	31	s	s	NOUN
cord-155015-w3k7r5z9	181	32	t	t	NOUN
cord-155015-w3k7r5z9	181	33	,	,	PUNCT
cord-155015-w3k7r5z9	181	34	i	i	PRON
cord-155015-w3k7r5z9	181	35	t	t	X
cord-155015-w3k7r5z9	181	36	)	)	PUNCT
cord-155015-w3k7r5z9	181	37	trajectory	trajectory	NOUN
cord-155015-w3k7r5z9	181	38	,	,	PUNCT
cord-155015-w3k7r5z9	181	39	see	see	VERB
cord-155015-w3k7r5z9	181	40	appendix	appendix	PROPN
cord-155015-w3k7r5z9	181	41	b.	b.	NOUN
cord-155015-w3k7r5z9	181	42	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	181	43	of	of	ADP
cord-155015-w3k7r5z9	181	44	f	f	PROPN
cord-155015-w3k7r5z9	181	45	due	due	ADJ
cord-155015-w3k7r5z9	181	46	to	to	ADP
cord-155015-w3k7r5z9	181	47	s	s	PROPN
cord-155015-w3k7r5z9	181	48	th	th	PROPN
cord-155015-w3k7r5z9	181	49	are	be	AUX
cord-155015-w3k7r5z9	181	50	polynomials	polynomial	NOUN
cord-155015-w3k7r5z9	181	51	of	of	ADP
cord-155015-w3k7r5z9	181	52	log	log	NOUN
cord-155015-w3k7r5z9	182	1	[	[	X
cord-155015-w3k7r5z9	182	2	s	s	NOUN
cord-155015-w3k7r5z9	182	3	t	t	NOUN
cord-155015-w3k7r5z9	182	4	]	]	X
cord-155015-w3k7r5z9	182	5	.	.	PUNCT
cord-155015-w3k7r5z9	183	1	consider	consider	VERB
cord-155015-w3k7r5z9	183	2	the	the	DET
cord-155015-w3k7r5z9	183	3	first	first	ADJ
cord-155015-w3k7r5z9	183	4	derivative	derivative	NOUN
cord-155015-w3k7r5z9	183	5	of	of	ADP
cord-155015-w3k7r5z9	183	6	(	(	PUNCT
cord-155015-w3k7r5z9	183	7	a5	a5	PROPN
cord-155015-w3k7r5z9	183	8	)	)	PUNCT
cord-155015-w3k7r5z9	183	9	taking	take	VERB
cord-155015-w3k7r5z9	183	10	into	into	ADP
cord-155015-w3k7r5z9	183	11	account	account	NOUN
cord-155015-w3k7r5z9	183	12	(	(	PUNCT
cord-155015-w3k7r5z9	183	13	a8	a8	PROPN
cord-155015-w3k7r5z9	183	14	):	):	PUNCT
cord-155015-w3k7r5z9	183	15	where	where	SCONJ
cord-155015-w3k7r5z9	183	16	:	:	PUNCT
cord-155015-w3k7r5z9	183	17	expression	expression	NOUN
cord-155015-w3k7r5z9	183	18	(	(	PUNCT
cord-155015-w3k7r5z9	183	19	a2	a2	PROPN
cord-155015-w3k7r5z9	183	20	)	)	PUNCT
cord-155015-w3k7r5z9	183	21	can	can	AUX
cord-155015-w3k7r5z9	183	22	be	be	AUX
cord-155015-w3k7r5z9	183	23	rewritten	rewrite	VERB
cord-155015-w3k7r5z9	183	24	in	in	ADP
cord-155015-w3k7r5z9	183	25	the	the	DET
cord-155015-w3k7r5z9	183	26	form	form	NOUN
cord-155015-w3k7r5z9	183	27	:	:	PUNCT
cord-155015-w3k7r5z9	183	28	ai	ai	VERB
cord-155015-w3k7r5z9	183	29	0	0	NUM
cord-155015-w3k7r5z9	183	30	−	−	PROPN
cord-155015-w3k7r5z9	183	31	s	s	NOUN
cord-155015-w3k7r5z9	184	1	min	min	PROPN
cord-155015-w3k7r5z9	184	2	+	+	SYM
cord-155015-w3k7r5z9	184	3	s	s	NOUN
cord-155015-w3k7r5z9	184	4	th	th	PROPN
cord-155015-w3k7r5z9	184	5	log	log	PROPN
cord-155015-w3k7r5z9	184	6	s	s	PROPN
cord-155015-w3k7r5z9	184	7	s	s	PROPN
cord-155015-w3k7r5z9	184	8	0	0	NUM
cord-155015-w3k7r5z9	184	9	+	+	SYM
cord-155015-w3k7r5z9	184	10	s	s	NOUN
cord-155015-w3k7r5z9	184	11	0	0	NUM
cord-155015-w3k7r5z9	185	1	−3s	−3s	PROPN
cord-155015-w3k7r5z9	185	2	min	min	PROPN
cord-155015-w3k7r5z9	185	3	s	s	X
cord-155015-w3k7r5z9	185	4	2	2	NUM
cord-155015-w3k7r5z9	185	5	th	th	X
cord-155015-w3k7r5z9	185	6	(	(	PUNCT
cord-155015-w3k7r5z9	185	7	3ai	3ai	NOUN
cord-155015-w3k7r5z9	185	8	0	0	NUM
cord-155015-w3k7r5z9	185	9	−	−	PUNCT
cord-155015-w3k7r5z9	185	10	5s	5s	NUM
cord-155015-w3k7r5z9	185	11	min	min	NOUN
cord-155015-w3k7r5z9	185	12	+	+	NUM
cord-155015-w3k7r5z9	185	13	3s	3s	NOUN
cord-155015-w3k7r5z9	185	14	0	0	NUM
cord-155015-w3k7r5z9	185	15	)	)	PUNCT
cord-155015-w3k7r5z9	186	1	+	+	PUNCT
cord-155015-w3k7r5z9	186	2	s	s	PROPN
cord-155015-w3k7r5z9	187	1	min	min	PROPN
cord-155015-w3k7r5z9	187	2	s	s	X
cord-155015-w3k7r5z9	187	3	th	th	X
cord-155015-w3k7r5z9	187	4	(	(	PUNCT
cord-155015-w3k7r5z9	187	5	ai	ai	VERB
cord-155015-w3k7r5z9	187	6	0	0	NUM
cord-155015-w3k7r5z9	187	7	−	−	SYM
cord-155015-w3k7r5z9	187	8	s	s	NOUN
cord-155015-w3k7r5z9	187	9	min	min	PROPN
cord-155015-w3k7r5z9	187	10	+	+	SYM
cord-155015-w3k7r5z9	187	11	s	s	NOUN
cord-155015-w3k7r5z9	187	12	0	0	PUNCT
cord-155015-w3k7r5z9	187	13	)	)	PUNCT
cord-155015-w3k7r5z9	188	1	(	(	PUNCT
cord-155015-w3k7r5z9	188	2	ai	ai	VERB
cord-155015-w3k7r5z9	188	3	0	0	NUM
cord-155015-w3k7r5z9	188	4	+	+	NUM
cord-155015-w3k7r5z9	188	5	8s	8s	NUM
cord-155015-w3k7r5z9	189	1	min	min	NOUN
cord-155015-w3k7r5z9	189	2	+	+	SYM
cord-155015-w3k7r5z9	189	3	s	s	NOUN
cord-155015-w3k7r5z9	189	4	0	0	PUNCT
cord-155015-w3k7r5z9	189	5	)	)	PUNCT
cord-155015-w3k7r5z9	190	1	+	+	PUNCT
cord-155015-w3k7r5z9	190	2	s	s	PROPN
cord-155015-w3k7r5z9	191	1	min	min	PROPN
cord-155015-w3k7r5z9	191	2	s	s	X
cord-155015-w3k7r5z9	191	3	th	th	PROPN
cord-155015-w3k7r5z9	191	4	log	log	PROPN
cord-155015-w3k7r5z9	191	5	s	s	PROPN
cord-155015-w3k7r5z9	191	6	s	s	NOUN
cord-155015-w3k7r5z9	191	7	0	0	NUM
cord-155015-w3k7r5z9	192	1	×	×	PROPN
cord-155015-w3k7r5z9	192	2	(	(	PUNCT
cord-155015-w3k7r5z9	192	3	c3	c3	PROPN
cord-155015-w3k7r5z9	192	4	)	)	PUNCT
cord-155015-w3k7r5z9	192	5	s	s	PROPN
cord-155015-w3k7r5z9	193	1	th	th	X
cord-155015-w3k7r5z9	193	2	(	(	PUNCT
cord-155015-w3k7r5z9	193	3	2ai	2ai	PROPN
cord-155015-w3k7r5z9	193	4	0	0	NUM
cord-155015-w3k7r5z9	193	5	+	+	NUM
cord-155015-w3k7r5z9	193	6	7s	7s	NUM
cord-155015-w3k7r5z9	193	7	min	min	NOUN
cord-155015-w3k7r5z9	193	8	+	+	CCONJ
cord-155015-w3k7r5z9	193	9	2s	2s	NUM
cord-155015-w3k7r5z9	193	10	0	0	NUM
cord-155015-w3k7r5z9	193	11	)	)	PUNCT
cord-155015-w3k7r5z9	194	1	+	+	NUM
cord-155015-w3k7r5z9	195	1	4s	4s	NUM
cord-155015-w3k7r5z9	195	2	min	min	NOUN
cord-155015-w3k7r5z9	195	3	(	(	PUNCT
cord-155015-w3k7r5z9	195	4	ai	ai	VERB
cord-155015-w3k7r5z9	195	5	0	0	NUM
cord-155015-w3k7r5z9	195	6	−	−	SYM
cord-155015-w3k7r5z9	195	7	s	s	NOUN
cord-155015-w3k7r5z9	195	8	min	min	PROPN
cord-155015-w3k7r5z9	195	9	+	+	SYM
cord-155015-w3k7r5z9	195	10	s	s	NOUN
cord-155015-w3k7r5z9	195	11	0	0	PUNCT
cord-155015-w3k7r5z9	195	12	)	)	PUNCT
cord-155015-w3k7r5z9	196	1	+	+	CCONJ
cord-155015-w3k7r5z9	196	2	s	s	X
cord-155015-w3k7r5z9	197	1	th	th	PROPN
cord-155015-w3k7r5z9	197	2	log	log	PROPN
cord-155015-w3k7r5z9	197	3	s	s	PROPN
cord-155015-w3k7r5z9	197	4	s	s	NOUN
cord-155015-w3k7r5z9	197	5	0	0	NUM
cord-155015-w3k7r5z9	198	1	(	(	PUNCT
cord-155015-w3k7r5z9	198	2	2s	2s	PROPN
cord-155015-w3k7r5z9	198	3	min	min	NOUN
cord-155015-w3k7r5z9	198	4	+	+	SYM
cord-155015-w3k7r5z9	198	5	s	s	NOUN
cord-155015-w3k7r5z9	198	6	th	th	X
cord-155015-w3k7r5z9	198	7	)	)	PUNCT
cord-155015-w3k7r5z9	198	8	−	−	SYM
cord-155015-w3k7r5z9	198	9	9s	9s	NUM
cord-155015-w3k7r5z9	198	10	2	2	NUM
cord-155015-w3k7r5z9	198	11	th	th	X
cord-155015-w3k7r5z9	198	12	+	+	SYM
cord-155015-w3k7r5z9	198	13	2s	2s	NUM
cord-155015-w3k7r5z9	198	14	2	2	NUM
cord-155015-w3k7r5z9	198	15	min	min	NOUN
cord-155015-w3k7r5z9	198	16	(	(	PUNCT
cord-155015-w3k7r5z9	198	17	ai	ai	VERB
cord-155015-w3k7r5z9	198	18	0	0	NUM
cord-155015-w3k7r5z9	198	19	−	−	SYM
cord-155015-w3k7r5z9	198	20	s	s	NOUN
cord-155015-w3k7r5z9	199	1	min	min	PROPN
cord-155015-w3k7r5z9	199	2	+	+	SYM
cord-155015-w3k7r5z9	199	3	s	s	NOUN
cord-155015-w3k7r5z9	199	4	0	0	NUM
cord-155015-w3k7r5z9	199	5	)	)	PUNCT
cord-155015-w3k7r5z9	200	1	2	2	NUM
cord-155015-w3k7r5z9	200	2	−	−	PROPN
cord-155015-w3k7r5z9	200	3	12s	12	NOUN
cord-155015-w3k7r5z9	200	4	min	min	PROPN
cord-155015-w3k7r5z9	200	5	s	s	PART
cord-155015-w3k7r5z9	200	6	3	3	NUM
cord-155015-w3k7r5z9	200	7	th	th	X
cord-155015-w3k7r5z9	200	8	+	+	CCONJ
cord-155015-w3k7r5z9	200	9	6s	6s	NUM
cord-155015-w3k7r5z9	200	10	4	4	NUM
cord-155015-w3k7r5z9	200	11	th	th	X
cord-155015-w3k7r5z9	200	12	modeling	model	VERB
cord-155015-w3k7r5z9	200	13	the	the	DET
cord-155015-w3k7r5z9	200	14	interplay	interplay	NOUN
cord-155015-w3k7r5z9	200	15	between	between	ADP
cord-155015-w3k7r5z9	200	16	human	human	ADJ
cord-155015-w3k7r5z9	200	17	behavior	behavior	NOUN
cord-155015-w3k7r5z9	200	18	and	and	CCONJ
cord-155015-w3k7r5z9	200	19	the	the	DET
cord-155015-w3k7r5z9	200	20	spread	spread	NOUN
cord-155015-w3k7r5z9	200	21	of	of	ADP
cord-155015-w3k7r5z9	200	22	infectious	infectious	ADJ
cord-155015-w3k7r5z9	200	23	diseases	disease	NOUN
cord-155015-w3k7r5z9	200	24	the	the	DET
cord-155015-w3k7r5z9	200	25	lancet	lancet	PROPN
cord-155015-w3k7r5z9	200	26	infectious	infectious	ADJ
cord-155015-w3k7r5z9	200	27	diseases	disease	NOUN
cord-155015-w3k7r5z9	200	28	appendix	appendix	PROPN
cord-155015-w3k7r5z9	200	29	b	b	PROPN
cord-155015-w3k7r5z9	200	30	:	:	PUNCT
cord-155015-w3k7r5z9	200	31	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	200	32	of	of	ADP
cord-155015-w3k7r5z9	200	33	lambert	lambert	PROPN
cord-155015-w3k7r5z9	200	34	w	w	PROPN
cord-155015-w3k7r5z9	200	35	function	function	NOUN
cord-155015-w3k7r5z9	200	36	all	all	DET
cord-155015-w3k7r5z9	200	37	derivatives	derivative	NOUN
cord-155015-w3k7r5z9	200	38	of	of	ADP
cord-155015-w3k7r5z9	200	39	w	w	ADP
cord-155015-w3k7r5z9	200	40	due	due	ADJ
cord-155015-w3k7r5z9	200	41	to	to	ADP
cord-155015-w3k7r5z9	200	42	f	f	PROPN
cord-155015-w3k7r5z9	200	43	are	be	AUX
cord-155015-w3k7r5z9	200	44	constant	constant	ADJ
cord-155015-w3k7r5z9	200	45	along	along	ADP
cord-155015-w3k7r5z9	200	46	any	any	DET
cord-155015-w3k7r5z9	200	47	trajectory	trajectory	NOUN
cord-155015-w3k7r5z9	200	48	in	in	ADP
cord-155015-w3k7r5z9	200	49	(	(	PUNCT
cord-155015-w3k7r5z9	200	50	s	s	PROPN
cord-155015-w3k7r5z9	200	51	,	,	PUNCT
cord-155015-w3k7r5z9	200	52	i	i	NOUN
cord-155015-w3k7r5z9	200	53	)	)	PUNCT
cord-155015-w3k7r5z9	200	54	space	space	NOUN
cord-155015-w3k7r5z9	200	55	:	:	PUNCT
cord-155015-w3k7r5z9	200	56	the	the	DET
cord-155015-w3k7r5z9	200	57	final	final	ADJ
cord-155015-w3k7r5z9	200	58	expressions	expression	NOUN
cord-155015-w3k7r5z9	200	59	are	be	AUX
cord-155015-w3k7r5z9	200	60	invariant	invariant	ADJ
cord-155015-w3k7r5z9	200	61	until	until	ADP
cord-155015-w3k7r5z9	200	62	s	s	NOUN
cord-155015-w3k7r5z9	200	63	th	th	X
cord-155015-w3k7r5z9	200	64	changes	change	NOUN
cord-155015-w3k7r5z9	200	65	because	because	SCONJ
cord-155015-w3k7r5z9	200	66	they	they	PRON
cord-155015-w3k7r5z9	200	67	depend	depend	VERB
cord-155015-w3k7r5z9	200	68	on	on	ADP
cord-155015-w3k7r5z9	200	69	f	f	PROPN
cord-155015-w3k7r5z9	200	70	and	and	CCONJ
cord-155015-w3k7r5z9	200	71	w	w	PROPN
cord-155015-w3k7r5z9	200	72	only	only	ADV
cord-155015-w3k7r5z9	200	73	,	,	PUNCT
cord-155015-w3k7r5z9	200	74	see	see	VERB
cord-155015-w3k7r5z9	200	75	(	(	PUNCT
cord-155015-w3k7r5z9	200	76	a7).appendix	a7).appendix	PROPN
cord-155015-w3k7r5z9	200	77	c	c	PROPN
cord-155015-w3k7r5z9	200	78	:	:	PUNCT
cord-155015-w3k7r5z9	200	79	final	final	ADJ
cord-155015-w3k7r5z9	200	80	expressions	expression	NOUN
cord-155015-w3k7r5z9	200	81	for	for	ADP
cord-155015-w3k7r5z9	200	82	a	a	DET
cord-155015-w3k7r5z9	200	83	,	,	PUNCT
cord-155015-w3k7r5z9	200	84	b	b	PROPN
cord-155015-w3k7r5z9	200	85	,	,	PUNCT
cord-155015-w3k7r5z9	200	86	cthe	cthe	PROPN
cord-155015-w3k7r5z9	200	87	first	first	ADJ
cord-155015-w3k7r5z9	200	88	:	:	PUNCT
cord-155015-w3k7r5z9	200	89	the	the	DET
cord-155015-w3k7r5z9	200	90	second	second	ADJ
cord-155015-w3k7r5z9	200	91	:	:	PUNCT
