id	sid	tid	token	lemma	pos
cord-279112-ajdkasah	1	1	key	key	ADJ
cord-279112-ajdkasah	1	2	:	:	PUNCT
cord-279112-ajdkasah	1	3	cord-279112	cord-279112	PROPN
cord-279112-ajdkasah	1	4	-	-	PUNCT
cord-279112-ajdkasah	1	5	ajdkasah	ajdkasah	PROPN
cord-279112-ajdkasah	1	6	authors	author	NOUN
cord-279112-ajdkasah	1	7	:	:	PUNCT
cord-279112-ajdkasah	1	8	rojas	rojas	PROPN
cord-279112-ajdkasah	1	9	,	,	PUNCT
cord-279112-ajdkasah	1	10	s.	s.	PROPN
cord-279112-ajdkasah	1	11	title	title	PROPN
cord-279112-ajdkasah	1	12	:	:	PUNCT
cord-279112-ajdkasah	1	13	comment	comment	NOUN
cord-279112-ajdkasah	1	14	on	on	ADP
cord-279112-ajdkasah	1	15	“	"	PUNCT
cord-279112-ajdkasah	1	16	estimation	estimation	NOUN
cord-279112-ajdkasah	1	17	of	of	ADP
cord-279112-ajdkasah	1	18	covid-19	covid-19	PROPN
cord-279112-ajdkasah	1	19	dynamics	dynamic	NOUN
cord-279112-ajdkasah	1	20	“	"	PUNCT
cord-279112-ajdkasah	1	21	on	on	ADP
cord-279112-ajdkasah	1	22	a	a	DET
cord-279112-ajdkasah	1	23	back	back	ADJ
cord-279112-ajdkasah	1	24	-	-	PUNCT
cord-279112-ajdkasah	1	25	of	of	ADP
cord-279112-ajdkasah	1	26	-	-	PUNCT
cord-279112-ajdkasah	1	27	envelope	envelope	NOUN
cord-279112-ajdkasah	1	28	”	"	PUNCT
cord-279112-ajdkasah	1	29	:	:	PUNCT
cord-279112-ajdkasah	1	30	does	do	AUX
cord-279112-ajdkasah	1	31	the	the	DET
cord-279112-ajdkasah	1	32	simplest	simple	ADJ
cord-279112-ajdkasah	1	33	sir	sir	NOUN
cord-279112-ajdkasah	1	34	model	model	NOUN
cord-279112-ajdkasah	1	35	provide	provide	VERB
cord-279112-ajdkasah	1	36	quantitative	quantitative	ADJ
cord-279112-ajdkasah	1	37	parameters	parameter	NOUN
cord-279112-ajdkasah	1	38	and	and	CCONJ
cord-279112-ajdkasah	1	39	predictions	prediction	NOUN
cord-279112-ajdkasah	1	40	?	?	PUNCT
cord-279112-ajdkasah	1	41	”	"	PUNCT
cord-279112-ajdkasah	1	42	date	date	NOUN
cord-279112-ajdkasah	1	43	:	:	PUNCT
cord-279112-ajdkasah	1	44	2020	2020	NUM
cord-279112-ajdkasah	1	45	-	-	SYM
cord-279112-ajdkasah	1	46	09	09	NUM
cord-279112-ajdkasah	1	47	-	-	PUNCT
cord-279112-ajdkasah	1	48	13	13	NUM
cord-279112-ajdkasah	1	49	journal	journal	NOUN
cord-279112-ajdkasah	1	50	:	:	PUNCT
cord-279112-ajdkasah	1	51	nan	nan	PROPN
cord-279112-ajdkasah	1	52	doi	doi	PROPN
cord-279112-ajdkasah	1	53	:	:	PUNCT
cord-279112-ajdkasah	1	54	10.1016	10.1016	NUM
cord-279112-ajdkasah	1	55	/	/	SYM
cord-279112-ajdkasah	1	56	j.csfx.2020.100047	j.csfx.2020.100047	ADV
cord-279112-ajdkasah	1	57	sha	shall	AUX
cord-279112-ajdkasah	1	58	:	:	PUNCT
cord-279112-ajdkasah	1	59	doc_id	doc_id	X
cord-279112-ajdkasah	1	60	:	:	PUNCT
cord-279112-ajdkasah	1	61	279112	279112	NUM
cord-279112-ajdkasah	1	62	cord_uid	cord_uid	ADJ
cord-279112-ajdkasah	1	63	:	:	PUNCT
cord-279112-ajdkasah	1	64	ajdkasah	ajdkasah	PROPN
cord-279112-ajdkasah	1	65	this	this	DET
cord-279112-ajdkasah	1	66	comment	comment	NOUN
cord-279112-ajdkasah	1	67	shows	show	VERB
cord-279112-ajdkasah	1	68	that	that	SCONJ
cord-279112-ajdkasah	1	69	data	datum	NOUN
cord-279112-ajdkasah	1	70	regarding	regard	VERB
cord-279112-ajdkasah	1	71	cumulative	cumulative	ADJ
cord-279112-ajdkasah	1	72	confirmed	confirm	VERB
cord-279112-ajdkasah	1	73	cases	case	NOUN
cord-279112-ajdkasah	1	74	from	from	ADP
cord-279112-ajdkasah	1	75	the	the	DET
cord-279112-ajdkasah	1	76	coronavirus	coronavirus	NOUN
cord-279112-ajdkasah	1	77	covid-19	covid-19	PROPN
cord-279112-ajdkasah	1	78	disease	disease	NOUN
cord-279112-ajdkasah	1	79	outbreak	outbreak	NOUN
cord-279112-ajdkasah	1	80	,	,	PUNCT
cord-279112-ajdkasah	1	81	in	in	ADP
cord-279112-ajdkasah	1	82	the	the	DET
cord-279112-ajdkasah	1	83	period	period	NOUN
cord-279112-ajdkasah	1	84	december	december	PROPN
cord-279112-ajdkasah	1	85	31	31	NUM
cord-279112-ajdkasah	1	86	,	,	PUNCT
cord-279112-ajdkasah	1	87	2019	2019	NUM
cord-279112-ajdkasah	1	88	–	–	PUNCT
cord-279112-ajdkasah	1	89	june	june	PROPN
cord-279112-ajdkasah	1	90	29	29	NUM
cord-279112-ajdkasah	1	91	,	,	PUNCT
cord-279112-ajdkasah	1	92	2020	2020	NUM
cord-279112-ajdkasah	1	93	of	of	ADP
cord-279112-ajdkasah	1	94	some	some	DET
cord-279112-ajdkasah	1	95	countries	country	NOUN
cord-279112-ajdkasah	1	96	reported	report	VERB
cord-279112-ajdkasah	1	97	by	by	ADP
cord-279112-ajdkasah	1	98	the	the	DET
cord-279112-ajdkasah	1	99	european	european	PROPN
cord-279112-ajdkasah	1	100	centre	centre	PROPN
cord-279112-ajdkasah	1	101	for	for	ADP
cord-279112-ajdkasah	1	102	disease	disease	NOUN
cord-279112-ajdkasah	1	103	prevention	prevention	NOUN
cord-279112-ajdkasah	1	104	and	and	CCONJ
cord-279112-ajdkasah	1	105	control	control	NOUN
cord-279112-ajdkasah	1	106	,	,	PUNCT
cord-279112-ajdkasah	1	107	can	can	AUX
cord-279112-ajdkasah	1	108	be	be	AUX
cord-279112-ajdkasah	1	109	adjusted	adjust	VERB
cord-279112-ajdkasah	1	110	by	by	ADP
cord-279112-ajdkasah	1	111	the	the	DET
cord-279112-ajdkasah	1	112	exact	exact	ADJ
cord-279112-ajdkasah	1	113	solution	solution	NOUN
cord-279112-ajdkasah	1	114	of	of	ADP
cord-279112-ajdkasah	1	115	the	the	DET
cord-279112-ajdkasah	1	116	kermack	kermack	NOUN
cord-279112-ajdkasah	1	117	–	–	PUNCT
cord-279112-ajdkasah	1	118	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	1	119	approximation	approximation	NOUN
cord-279112-ajdkasah	1	120	of	of	ADP
cord-279112-ajdkasah	1	121	the	the	DET
cord-279112-ajdkasah	1	122	sir	sir	PROPN
cord-279112-ajdkasah	1	123	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	1	124	model	model	NOUN
cord-279112-ajdkasah	1	125	.	.	PUNCT
cord-279112-ajdkasah	2	1	departamento	departamento	PROPN
cord-279112-ajdkasah	2	2	de	de	PROPN
cord-279112-ajdkasah	2	3	física	física	PROPN
cord-279112-ajdkasah	2	4	1	1	NUM
cord-279112-ajdkasah	2	5	/	/	SYM
cord-279112-ajdkasah	2	6	1	1	NUM
cord-279112-ajdkasah	2	7	sartenejas	sartenejas	PROPN
cord-279112-ajdkasah	2	8	,	,	PUNCT
cord-279112-ajdkasah	2	9	august	august	PROPN
cord-279112-ajdkasah	2	10	27	27	NUM
cord-279112-ajdkasah	2	11	,	,	PUNCT
cord-279112-ajdkasah	2	12	2020	2020	NUM
cord-279112-ajdkasah	2	13	chief	chief	ADJ
cord-279112-ajdkasah	2	14	editor	editor	NOUN
cord-279112-ajdkasah	2	15	chaos	chaos	NOUN
cord-279112-ajdkasah	2	16	,	,	PUNCT
cord-279112-ajdkasah	2	17	solitons	soliton	NOUN
cord-279112-ajdkasah	2	18	and	and	CCONJ
cord-279112-ajdkasah	2	19	fractals	fractal	NOUN
cord-279112-ajdkasah	2	20	dear	dear	ADJ
cord-279112-ajdkasah	2	21	editor	editor	NOUN
cord-279112-ajdkasah	2	22	,	,	PUNCT
cord-279112-ajdkasah	2	23	the	the	DET
cord-279112-ajdkasah	2	24	submitted	submit	VERB
cord-279112-ajdkasah	2	25	article	article	NOUN
cord-279112-ajdkasah	2	26	:	:	PUNCT
cord-279112-ajdkasah	2	27	•	•	X
cord-279112-ajdkasah	2	28	provides	provide	VERB
cord-279112-ajdkasah	2	29	the	the	DET
cord-279112-ajdkasah	2	30	right	right	ADJ
cord-279112-ajdkasah	2	31	numerical	numerical	ADJ
cord-279112-ajdkasah	2	32	solution	solution	NOUN
cord-279112-ajdkasah	2	33	of	of	ADP
cord-279112-ajdkasah	2	34	the	the	DET
cord-279112-ajdkasah	2	35	kermack	kermack	NOUN
cord-279112-ajdkasah	2	36	and	and	CCONJ
cord-279112-ajdkasah	2	37	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	2	38	approximation	approximation	NOUN
cord-279112-ajdkasah	2	39	missed	miss	VERB
cord-279112-ajdkasah	2	40	in	in	ADP
cord-279112-ajdkasah	2	41	the	the	DET
cord-279112-ajdkasah	2	42	article	article	NOUN
cord-279112-ajdkasah	2	43	inspiring	inspire	VERB
cord-279112-ajdkasah	2	44	our	our	PRON
cord-279112-ajdkasah	2	45	comment	comment	NOUN
cord-279112-ajdkasah	2	46	[	[	X
cord-279112-ajdkasah	2	47	1	1	NUM
cord-279112-ajdkasah	2	48	]	]	PUNCT
cord-279112-ajdkasah	2	49	.	.	PUNCT
cord-279112-ajdkasah	3	1	•	•	PUNCT
cord-279112-ajdkasah	3	2	data	datum	NOUN
cord-279112-ajdkasah	3	3	from	from	ADP
cord-279112-ajdkasah	3	4	nine	nine	NUM
cord-279112-ajdkasah	3	5	countries	country	NOUN
cord-279112-ajdkasah	3	6	are	be	AUX
cord-279112-ajdkasah	3	7	shown	show	VERB
cord-279112-ajdkasah	3	8	to	to	PART
cord-279112-ajdkasah	3	9	be	be	AUX
cord-279112-ajdkasah	3	10	described	describe	VERB
cord-279112-ajdkasah	3	11	by	by	ADP
cord-279112-ajdkasah	3	12	the	the	DET
cord-279112-ajdkasah	3	13	full	full	ADJ
cord-279112-ajdkasah	3	14	sir	sir	PROPN
cord-279112-ajdkasah	3	15	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	3	16	model	model	NOUN
cord-279112-ajdkasah	3	17	.	.	PUNCT
cord-279112-ajdkasah	4	1	with	with	ADP
cord-279112-ajdkasah	4	2	kindest	kind	ADJ
cord-279112-ajdkasah	4	3	regards	regard	NOUN
cord-279112-ajdkasah	4	4	,	,	PUNCT
cord-279112-ajdkasah	4	5	profesor	profesor	NOUN
cord-279112-ajdkasah	4	6	sergio	sergio	PROPN
cord-279112-ajdkasah	4	7	rojas	rojas	PROPN
cord-279112-ajdkasah	4	8	departamento	departamento	PROPN
cord-279112-ajdkasah	4	9	de	de	PROPN
cord-279112-ajdkasah	4	10	física	física	PROPN
cord-279112-ajdkasah	4	11	in	in	ADP
cord-279112-ajdkasah	4	12	a	a	DET
cord-279112-ajdkasah	4	13	recent	recent	ADJ
cord-279112-ajdkasah	4	14	article	article	NOUN
cord-279112-ajdkasah	4	15	published	publish	VERB
cord-279112-ajdkasah	4	16	in	in	ADP
cord-279112-ajdkasah	4	17	this	this	DET
cord-279112-ajdkasah	4	18	journal	journal	NOUN
cord-279112-ajdkasah	4	19	[	[	X
cord-279112-ajdkasah	4	20	1	1	NUM
cord-279112-ajdkasah	4	21	]	]	PUNCT
cord-279112-ajdkasah	4	22	,	,	PUNCT
cord-279112-ajdkasah	4	23	after	after	ADP
cord-279112-ajdkasah	4	24	some	some	DET
cord-279112-ajdkasah	4	25	(	(	PUNCT
cord-279112-ajdkasah	4	26	unnecessary	unnecessary	ADJ
cord-279112-ajdkasah	4	27	)	)	PUNCT
cord-279112-ajdkasah	4	28	considerations	consideration	NOUN
cord-279112-ajdkasah	4	29	,	,	PUNCT
cord-279112-ajdkasah	4	30	the	the	DET
cord-279112-ajdkasah	4	31	author	author	NOUN
cord-279112-ajdkasah	4	32	presents	present	VERB
cord-279112-ajdkasah	4	33	the	the	DET
cord-279112-ajdkasah	4	34	logistic	logistic	ADJ
cord-279112-ajdkasah	4	35	function	function	NOUN
cord-279112-ajdkasah	4	36	(	(	PUNCT
cord-279112-ajdkasah	4	37	equation	equation	NOUN
cord-279112-ajdkasah	4	38	(	(	PUNCT
cord-279112-ajdkasah	4	39	8)	8)	NUM
cord-279112-ajdkasah	4	40	in	in	ADP
cord-279112-ajdkasah	4	41	[	[	X
cord-279112-ajdkasah	4	42	1	1	NUM
cord-279112-ajdkasah	4	43	]	]	PUNCT
cord-279112-ajdkasah	4	44	)	)	PUNCT
cord-279112-ajdkasah	4	45	as	as	ADP
cord-279112-ajdkasah	4	46	an	an	DET
cord-279112-ajdkasah	4	47	alternative	alternative	ADJ
cord-279112-ajdkasah	4	48	solution	solution	NOUN
cord-279112-ajdkasah	4	49	of	of	ADP
cord-279112-ajdkasah	4	50	the	the	DET
cord-279112-ajdkasah	4	51	differential	differential	ADJ
cord-279112-ajdkasah	4	52	equation	equation	NOUN
cord-279112-ajdkasah	4	53	known	know	VERB
cord-279112-ajdkasah	4	54	as	as	ADP
cord-279112-ajdkasah	4	55	the	the	DET
cord-279112-ajdkasah	4	56	kermack	kermack	NOUN
cord-279112-ajdkasah	4	57	and	and	CCONJ
cord-279112-ajdkasah	4	58	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	4	59	1927	1927	NUM
cord-279112-ajdkasah	4	60	approximation	approximation	NOUN
cord-279112-ajdkasah	4	61	[	[	X
cord-279112-ajdkasah	4	62	2	2	NUM
cord-279112-ajdkasah	4	63	]	]	PUNCT
cord-279112-ajdkasah	4	64	of	of	ADP
cord-279112-ajdkasah	4	65	the	the	DET
cord-279112-ajdkasah	4	66	sir	sir	PROPN
cord-279112-ajdkasah	4	67	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	4	68	model	model	NOUN
cord-279112-ajdkasah	4	69	[	[	X
cord-279112-ajdkasah	4	70	3	3	NUM
cord-279112-ajdkasah	4	71	,	,	PUNCT
cord-279112-ajdkasah	4	72	4	4	NUM
cord-279112-ajdkasah	4	73	]	]	PUNCT
cord-279112-ajdkasah	4	74	in	in	ADP
cord-279112-ajdkasah	4	75	order	order	NOUN
cord-279112-ajdkasah	4	76	to	to	PART
cord-279112-ajdkasah	4	77	fit	fit	VERB
cord-279112-ajdkasah	4	78	data	datum	NOUN
cord-279112-ajdkasah	4	79	regarding	regard	VERB
cord-279112-ajdkasah	4	80	the	the	DET
cord-279112-ajdkasah	4	81	cumulative	cumulative	ADJ
cord-279112-ajdkasah	4	82	confirmed	confirmed	NOUN
cord-279112-ajdkasah	4	83	of	of	ADP
cord-279112-ajdkasah	4	84	covid-19	covid-19	PUNCT
cord-279112-ajdkasah	4	85	infected	infect	VERB
cord-279112-ajdkasah	4	86	cases	case	NOUN
cord-279112-ajdkasah	4	87	from	from	ADP
cord-279112-ajdkasah	4	88	some	some	DET
cord-279112-ajdkasah	4	89	countries	country	NOUN
cord-279112-ajdkasah	4	90	.	.	PUNCT
cord-279112-ajdkasah	5	1	clearly	clearly	ADV
cord-279112-ajdkasah	5	2	,	,	PUNCT
cord-279112-ajdkasah	5	3	the	the	DET
cord-279112-ajdkasah	5	4	proposed	propose	VERB
cord-279112-ajdkasah	5	5	logistic	logistic	ADJ
cord-279112-ajdkasah	5	6	function	function	NOUN
cord-279112-ajdkasah	5	7	(	(	PUNCT
cord-279112-ajdkasah	5	8	equation	equation	NOUN
cord-279112-ajdkasah	5	9	(	(	PUNCT
cord-279112-ajdkasah	5	10	8)	8)	NUM
cord-279112-ajdkasah	5	11	in	in	ADP
cord-279112-ajdkasah	5	12	[	[	X
cord-279112-ajdkasah	5	13	1	1	NUM
cord-279112-ajdkasah	5	14	]	]	PUNCT
cord-279112-ajdkasah	5	15	)	)	PUNCT
cord-279112-ajdkasah	5	16	does	do	AUX
cord-279112-ajdkasah	5	17	not	not	PART
cord-279112-ajdkasah	5	18	accomplish	accomplish	VERB
cord-279112-ajdkasah	5	19	the	the	DET
cord-279112-ajdkasah	5	20	initial	initial	ADJ
cord-279112-ajdkasah	5	21	condition	condition	NOUN
cord-279112-ajdkasah	5	22	r(0	r(0	PROPN
cord-279112-ajdkasah	5	23	)	)	PUNCT
cord-279112-ajdkasah	5	24	=	=	NOUN
cord-279112-ajdkasah	5	25	0	0	X
cord-279112-ajdkasah	5	26	.	.	PUNCT
cord-279112-ajdkasah	6	1	in	in	ADP
cord-279112-ajdkasah	6	2	this	this	DET
cord-279112-ajdkasah	6	3	note	note	NOUN
cord-279112-ajdkasah	6	4	we	we	PRON
cord-279112-ajdkasah	6	5	show	show	VERB
cord-279112-ajdkasah	6	6	that	that	SCONJ
cord-279112-ajdkasah	6	7	the	the	DET
cord-279112-ajdkasah	6	8	data	datum	NOUN
cord-279112-ajdkasah	6	9	of	of	ADP
cord-279112-ajdkasah	6	10	the	the	DET
cord-279112-ajdkasah	6	11	countries	country	NOUN
cord-279112-ajdkasah	6	12	discussed	discuss	VERB
cord-279112-ajdkasah	6	13	in	in	ADP
cord-279112-ajdkasah	6	14	reference	reference	NOUN
cord-279112-ajdkasah	6	15	[	[	X
cord-279112-ajdkasah	6	16	1	1	NUM
cord-279112-ajdkasah	6	17	]	]	PUNCT
cord-279112-ajdkasah	6	18	and	and	CCONJ
cord-279112-ajdkasah	6	19	of	of	ADP
cord-279112-ajdkasah	6	20	a	a	DET
cord-279112-ajdkasah	6	21	few	few	ADJ
cord-279112-ajdkasah	6	22	other	other	ADJ
cord-279112-ajdkasah	6	23	countries	country	NOUN
cord-279112-ajdkasah	6	24	(	(	PUNCT
cord-279112-ajdkasah	6	25	see	see	VERB
cord-279112-ajdkasah	6	26	figure	figure	NOUN
cord-279112-ajdkasah	6	27	1	1	NUM
cord-279112-ajdkasah	6	28	)	)	PUNCT
cord-279112-ajdkasah	6	29	can	can	AUX
cord-279112-ajdkasah	6	30	also	also	ADV
cord-279112-ajdkasah	6	31	be	be	AUX
cord-279112-ajdkasah	6	32	fitted	fit	VERB
cord-279112-ajdkasah	6	33	using	use	VERB
cord-279112-ajdkasah	6	34	the	the	DET
cord-279112-ajdkasah	6	35	r(t	r(t	NOUN
cord-279112-ajdkasah	6	36	)	)	PUNCT
cord-279112-ajdkasah	6	37	solution	solution	NOUN
cord-279112-ajdkasah	6	38	obtained	obtain	VERB
cord-279112-ajdkasah	6	39	from	from	ADP
cord-279112-ajdkasah	6	40	the	the	DET
cord-279112-ajdkasah	6	41	kermack	kermack	NOUN
cord-279112-ajdkasah	6	42	and	and	CCONJ
cord-279112-ajdkasah	6	43	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	6	44	1927	1927	NUM
cord-279112-ajdkasah	6	45	approximation	approximation	NOUN
cord-279112-ajdkasah	6	46	of	of	ADP
cord-279112-ajdkasah	6	47	the	the	DET
cord-279112-ajdkasah	6	48	sir	sir	PROPN
cord-279112-ajdkasah	6	49	model	model	NOUN
cord-279112-ajdkasah	6	50	,	,	PUNCT
cord-279112-ajdkasah	6	51	making	make	VERB
cord-279112-ajdkasah	6	52	it	it	PRON
cord-279112-ajdkasah	6	53	unnecessary	unnecessary	ADJ
cord-279112-ajdkasah	6	54	the	the	DET
cord-279112-ajdkasah	6	55	use	use	NOUN
cord-279112-ajdkasah	6	56	of	of	ADP
cord-279112-ajdkasah	6	57	the	the	DET
cord-279112-ajdkasah	6	58	verhulst	verhulst	NOUN
cord-279112-ajdkasah	6	59	(	(	PUNCT
cord-279112-ajdkasah	6	60	logistic	logistic	ADJ
cord-279112-ajdkasah	6	61	)	)	PUNCT
cord-279112-ajdkasah	6	62	equation	equation	NOUN
cord-279112-ajdkasah	6	63	(	(	PUNCT
cord-279112-ajdkasah	6	64	8)	8)	NUM
cord-279112-ajdkasah	6	65	in	in	ADP
cord-279112-ajdkasah	6	66	[	[	X
cord-279112-ajdkasah	6	67	1	1	NUM
cord-279112-ajdkasah	6	68	]	]	PUNCT
cord-279112-ajdkasah	6	69	.	.	PUNCT
cord-279112-ajdkasah	7	1	the	the	DET
cord-279112-ajdkasah	7	2	sir	sir	PROPN
cord-279112-ajdkasah	7	3	model	model	NOUN
cord-279112-ajdkasah	7	4	considers	consider	VERB
cord-279112-ajdkasah	7	5	a	a	DET
cord-279112-ajdkasah	7	6	population	population	NOUN
cord-279112-ajdkasah	7	7	of	of	ADP
cord-279112-ajdkasah	7	8	size	size	NOUN
cord-279112-ajdkasah	7	9	n	n	ADV
cord-279112-ajdkasah	7	10	on	on	ADP
cord-279112-ajdkasah	7	11	which	which	PRON
cord-279112-ajdkasah	7	12	,	,	PUNCT
cord-279112-ajdkasah	7	13	at	at	ADP
cord-279112-ajdkasah	7	14	time	time	NOUN
cord-279112-ajdkasah	7	15	t	t	PROPN
cord-279112-ajdkasah	7	16	,	,	PUNCT
cord-279112-ajdkasah	7	17	s(t	s(t	PROPN
cord-279112-ajdkasah	7	18	)	)	PUNCT
cord-279112-ajdkasah	7	19	individuals	individual	NOUN
cord-279112-ajdkasah	7	20	are	be	AUX
cord-279112-ajdkasah	7	21	susceptible	susceptible	ADJ
cord-279112-ajdkasah	7	22	of	of	ADP
cord-279112-ajdkasah	7	23	being	be	AUX
cord-279112-ajdkasah	7	24	infected	infect	VERB
cord-279112-ajdkasah	7	25	as	as	ADP
cord-279112-ajdkasah	7	26	a	a	DET
cord-279112-ajdkasah	7	27	consequence	consequence	NOUN
cord-279112-ajdkasah	7	28	that	that	PRON
cord-279112-ajdkasah	7	29	i(t	i(t	PROPN
cord-279112-ajdkasah	7	30	)	)	PUNCT
cord-279112-ajdkasah	7	31	individuals	individual	NOUN
cord-279112-ajdkasah	7	32	are	be	AUX
cord-279112-ajdkasah	7	33	already	already	ADV
cord-279112-ajdkasah	7	34	infected	infect	VERB
cord-279112-ajdkasah	7	35	and	and	CCONJ
cord-279112-ajdkasah	7	36	can	can	AUX
cord-279112-ajdkasah	7	37	transmit	transmit	VERB
cord-279112-ajdkasah	7	38	or	or	CCONJ
cord-279112-ajdkasah	7	39	spread	spread	VERB
cord-279112-ajdkasah	7	40	the	the	DET
cord-279112-ajdkasah	7	41	disease	disease	NOUN
cord-279112-ajdkasah	7	42	to	to	ADP
cord-279112-ajdkasah	7	43	the	the	DET
cord-279112-ajdkasah	7	44	susceptible	susceptible	ADJ
cord-279112-ajdkasah	7	45	population	population	NOUN
cord-279112-ajdkasah	7	46	.	.	PUNCT
cord-279112-ajdkasah	8	1	the	the	DET
cord-279112-ajdkasah	8	2	number	number	NOUN
cord-279112-ajdkasah	8	3	of	of	ADP
cord-279112-ajdkasah	8	4	individuals	individual	NOUN
cord-279112-ajdkasah	8	5	r(t	r(t	NOUN
cord-279112-ajdkasah	8	6	)	)	PUNCT
cord-279112-ajdkasah	8	7	represents	represent	VERB
cord-279112-ajdkasah	8	8	those	those	PRON
cord-279112-ajdkasah	8	9	who	who	PRON
cord-279112-ajdkasah	8	10	has	have	AUX
cord-279112-ajdkasah	8	11	recovered	recover	VERB
cord-279112-ajdkasah	8	12	from	from	ADP
cord-279112-ajdkasah	8	13	the	the	DET
cord-279112-ajdkasah	8	14	disease	disease	NOUN
cord-279112-ajdkasah	8	15	(	(	PUNCT
cord-279112-ajdkasah	8	16	which	which	PRON
cord-279112-ajdkasah	8	17	,	,	PUNCT
cord-279112-ajdkasah	8	18	if	if	SCONJ
cord-279112-ajdkasah	8	19	lethal	lethal	ADJ
cord-279112-ajdkasah	8	20	,	,	PUNCT
cord-279112-ajdkasah	8	21	also	also	ADV
cord-279112-ajdkasah	8	22	includes	include	VERB
cord-279112-ajdkasah	8	23	death	death	NOUN
cord-279112-ajdkasah	8	24	individuals	individual	NOUN
cord-279112-ajdkasah	8	25	)	)	PUNCT
cord-279112-ajdkasah	8	26	and	and	CCONJ
cord-279112-ajdkasah	8	27	can	can	AUX
cord-279112-ajdkasah	8	28	not	not	PART
cord-279112-ajdkasah	8	29	be	be	AUX
cord-279112-ajdkasah	8	30	reinfected	reinfecte	VERB
cord-279112-ajdkasah	8	31	.	.	PUNCT
cord-279112-ajdkasah	9	1	thus	thus	ADV
cord-279112-ajdkasah	9	2	,	,	PUNCT
cord-279112-ajdkasah	9	3	the	the	DET
cord-279112-ajdkasah	9	4	dynamics	dynamic	NOUN
cord-279112-ajdkasah	9	5	of	of	ADP
cord-279112-ajdkasah	9	6	the	the	DET
cord-279112-ajdkasah	9	7	disease	disease	NOUN
cord-279112-ajdkasah	9	8	,	,	PUNCT
cord-279112-ajdkasah	9	9	introduced	introduce	VERB
cord-279112-ajdkasah	9	10	in	in	ADP
cord-279112-ajdkasah	9	11	1927	1927	NUM
cord-279112-ajdkasah	9	12	by	by	ADP
cord-279112-ajdkasah	9	13	kermack	kermack	PROPN
cord-279112-ajdkasah	9	14	and	and	CCONJ
cord-279112-ajdkasah	9	15	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	9	16	[	[	X
cord-279112-ajdkasah	9	17	2	2	NUM
cord-279112-ajdkasah	9	18	]	]	PUNCT
cord-279112-ajdkasah	9	19	,	,	PUNCT
cord-279112-ajdkasah	9	20	is	be	AUX
cord-279112-ajdkasah	9	21	modeled	model	VERB
cord-279112-ajdkasah	9	22	by	by	ADP
cord-279112-ajdkasah	9	23	the	the	DET
cord-279112-ajdkasah	9	24	set	set	NOUN
cord-279112-ajdkasah	9	25	of	of	ADP
cord-279112-ajdkasah	9	26	differential	differential	ADJ
cord-279112-ajdkasah	9	27	equations	equation	NOUN
cord-279112-ajdkasah	9	28	:	:	PUNCT
cord-279112-ajdkasah	9	29	in	in	ADP
cord-279112-ajdkasah	9	30	these	these	DET
cord-279112-ajdkasah	9	31	equations	equation	NOUN
cord-279112-ajdkasah	9	32	,	,	PUNCT
cord-279112-ajdkasah	9	33	the	the	DET
cord-279112-ajdkasah	9	34	parameters	parameter	NOUN
cord-279112-ajdkasah	9	35	β	β	PROPN
cord-279112-ajdkasah	9	36	(	(	PUNCT
cord-279112-ajdkasah	9	37	the	the	DET
cord-279112-ajdkasah	9	38	infection	infection	NOUN
cord-279112-ajdkasah	9	39	rate	rate	NOUN
cord-279112-ajdkasah	9	40	)	)	PUNCT
cord-279112-ajdkasah	9	41	and	and	CCONJ
cord-279112-ajdkasah	9	42	γ	γ	PROPN
cord-279112-ajdkasah	9	43	(	(	PUNCT
cord-279112-ajdkasah	9	44	the	the	DET
cord-279112-ajdkasah	9	45	recovery	recovery	NOUN
cord-279112-ajdkasah	9	46	or	or	CCONJ
cord-279112-ajdkasah	9	47	removal	removal	NOUN
cord-279112-ajdkasah	9	48	rate	rate	NOUN
cord-279112-ajdkasah	9	49	of	of	ADP
cord-279112-ajdkasah	9	50	infectives	infective	NOUN
cord-279112-ajdkasah	9	51	)	)	PUNCT
cord-279112-ajdkasah	9	52	are	be	AUX
cord-279112-ajdkasah	9	53	constants	constant	NOUN
cord-279112-ajdkasah	9	54	:	:	PUNCT
cord-279112-ajdkasah	9	55	β	β	PROPN
cord-279112-ajdkasah	9	56	controls	control	VERB
cord-279112-ajdkasah	9	57	the	the	DET
cord-279112-ajdkasah	9	58	transition	transition	NOUN
cord-279112-ajdkasah	9	59	between	between	ADP
cord-279112-ajdkasah	9	60	s	s	PROPN
cord-279112-ajdkasah	9	61	and	and	CCONJ
cord-279112-ajdkasah	9	62	i	i	NOUN
cord-279112-ajdkasah	9	63	,	,	PUNCT
cord-279112-ajdkasah	9	64	equation	equation	NOUN
cord-279112-ajdkasah	9	65	(	(	PUNCT
cord-279112-ajdkasah	9	66	1	1	NUM
cord-279112-ajdkasah	9	67	)	)	PUNCT
cord-279112-ajdkasah	9	68	,	,	PUNCT
cord-279112-ajdkasah	9	69	while	while	SCONJ
cord-279112-ajdkasah	9	70	γ	γ	PRON
cord-279112-ajdkasah	9	71	controls	control	VERB
cord-279112-ajdkasah	9	72	the	the	DET
cord-279112-ajdkasah	9	73	transition	transition	NOUN
cord-279112-ajdkasah	9	74	between	between	ADP
cord-279112-ajdkasah	9	75	i	i	PRON
cord-279112-ajdkasah	9	76	and	and	CCONJ
cord-279112-ajdkasah	9	77	r	r	NOUN
cord-279112-ajdkasah	9	78	,	,	PUNCT
cord-279112-ajdkasah	9	79	equation	equation	NOUN
cord-279112-ajdkasah	9	80	(	(	PUNCT
cord-279112-ajdkasah	9	81	3	3	NUM
cord-279112-ajdkasah	9	82	)	)	PUNCT
cord-279112-ajdkasah	9	83	.	.	PUNCT
cord-279112-ajdkasah	10	1	for	for	SCONJ
cord-279112-ajdkasah	10	2	an	an	DET
cord-279112-ajdkasah	10	3	epidemic	epidemic	NOUN
cord-279112-ajdkasah	10	4	to	to	PART
cord-279112-ajdkasah	10	5	occur	occur	VERB
cord-279112-ajdkasah	10	6	[	[	PUNCT
cord-279112-ajdkasah	10	7	2	2	NUM
cord-279112-ajdkasah	10	8	,	,	PUNCT
cord-279112-ajdkasah	10	9	3	3	NUM
cord-279112-ajdkasah	10	10	,	,	PUNCT
cord-279112-ajdkasah	10	11	4	4	NUM
cord-279112-ajdkasah	10	12	,	,	PUNCT
cord-279112-ajdkasah	10	13	5	5	NUM
cord-279112-ajdkasah	10	14	]	]	PUNCT
cord-279112-ajdkasah	10	15	,	,	PUNCT
cord-279112-ajdkasah	10	16	the	the	DET
cord-279112-ajdkasah	10	17	number	number	NOUN
cord-279112-ajdkasah	10	18	of	of	ADP
cord-279112-ajdkasah	10	19	infected	infected	ADJ
cord-279112-ajdkasah	10	20	individuals	individual	NOUN
cord-279112-ajdkasah	10	21	needs	need	VERB
cord-279112-ajdkasah	10	22	to	to	PART
cord-279112-ajdkasah	10	23	increase	increase	VERB
cord-279112-ajdkasah	10	24	from	from	ADP
cord-279112-ajdkasah	10	25	the	the	DET
cord-279112-ajdkasah	10	26	initial	initial	ADJ
cord-279112-ajdkasah	10	27	number	number	NOUN
cord-279112-ajdkasah	10	28	of	of	ADP
cord-279112-ajdkasah	10	29	infected	infect	VERB
cord-279112-ajdkasah	10	30	individuals	individual	NOUN
cord-279112-ajdkasah	10	31	i0	i0	PROPN
cord-279112-ajdkasah	10	32	.	.	PUNCT
cord-279112-ajdkasah	11	1	this	this	DET
cord-279112-ajdkasah	11	2	condition	condition	NOUN
cord-279112-ajdkasah	11	3	will	will	AUX
cord-279112-ajdkasah	11	4	happen	happen	VERB
cord-279112-ajdkasah	11	5	if	if	SCONJ
cord-279112-ajdkasah	11	6	at	at	ADP
cord-279112-ajdkasah	11	7	time	time	NOUN
cord-279112-ajdkasah	11	8	zero	zero	NUM
cord-279112-ajdkasah	11	9	,	,	PUNCT
cord-279112-ajdkasah	11	10	s0	s0	PROPN
cord-279112-ajdkasah	11	11	>	>	X
cord-279112-ajdkasah	11	12	sc	sc	PROPN
cord-279112-ajdkasah	11	13	=	=	PROPN
cord-279112-ajdkasah	11	14	ρ	ρ	PROPN
cord-279112-ajdkasah	11	15	=	=	X
cord-279112-ajdkasah	11	16	γ	γ	NOUN
cord-279112-ajdkasah	11	17	/	/	SYM
cord-279112-ajdkasah	11	18	β	β	PROPN
cord-279112-ajdkasah	11	19	.	.	PUNCT
cord-279112-ajdkasah	12	1	that	that	ADV
cord-279112-ajdkasah	12	2	is	be	AUX
cord-279112-ajdkasah	12	3	,	,	PUNCT
cord-279112-ajdkasah	12	4	ρ	ρ	PROPN
cord-279112-ajdkasah	12	5	represents	represent	VERB
cord-279112-ajdkasah	12	6	a	a	DET
cord-279112-ajdkasah	12	7	critical	critical	ADJ
cord-279112-ajdkasah	12	8	value	value	NOUN
cord-279112-ajdkasah	12	9	for	for	SCONJ
cord-279112-ajdkasah	12	10	an	an	DET
cord-279112-ajdkasah	12	11	epidemic	epidemic	NOUN
cord-279112-ajdkasah	12	12	to	to	PART
cord-279112-ajdkasah	12	13	occur	occur	VERB
cord-279112-ajdkasah	12	14	and	and	CCONJ
cord-279112-ajdkasah	12	15	the	the	DET
cord-279112-ajdkasah	12	16	sir	sir	PROPN
cord-279112-ajdkasah	12	17	model	model	NOUN
cord-279112-ajdkasah	12	18	reveals	reveal	VERB
cord-279112-ajdkasah	12	19	a	a	DET
cord-279112-ajdkasah	12	20	threshold	threshold	NOUN
cord-279112-ajdkasah	12	21	phenomenon	phenomenon	NOUN
cord-279112-ajdkasah	13	1	[	[	X
cord-279112-ajdkasah	13	2	6	6	NUM
cord-279112-ajdkasah	13	3	]	]	PUNCT
cord-279112-ajdkasah	13	4	.	.	PUNCT
cord-279112-ajdkasah	14	1	from	from	ADP
cord-279112-ajdkasah	14	2	a	a	DET
cord-279112-ajdkasah	14	3	dimensional	dimensional	ADJ
cord-279112-ajdkasah	14	4	point	point	NOUN
cord-279112-ajdkasah	14	5	of	of	ADP
cord-279112-ajdkasah	14	6	view	view	NOUN
cord-279112-ajdkasah	14	7	,	,	PUNCT
cord-279112-ajdkasah	14	8	assigning	assign	VERB
cord-279112-ajdkasah	14	9	no	no	DET
cord-279112-ajdkasah	14	10	units	unit	NOUN
cord-279112-ajdkasah	14	11	to	to	ADP
cord-279112-ajdkasah	14	12	s	s	PROPN
cord-279112-ajdkasah	14	13	,	,	PUNCT
cord-279112-ajdkasah	14	14	i	i	PROPN
cord-279112-ajdkasah	14	15	,	,	PUNCT
cord-279112-ajdkasah	14	16	r	r	NOUN
cord-279112-ajdkasah	14	17	,	,	PUNCT
cord-279112-ajdkasah	14	18	and	and	CCONJ
cord-279112-ajdkasah	14	19	n	n	ADV
cord-279112-ajdkasah	14	20	the	the	DET
cord-279112-ajdkasah	14	21	parameters	parameter	NOUN
cord-279112-ajdkasah	14	22	β	β	NOUN
cord-279112-ajdkasah	14	23	and	and	CCONJ
cord-279112-ajdkasah	14	24	γ	γ	PRON
cord-279112-ajdkasah	14	25	have	have	VERB
cord-279112-ajdkasah	14	26	units	unit	NOUN
cord-279112-ajdkasah	14	27	of	of	ADP
cord-279112-ajdkasah	14	28	inverse	inverse	NOUN
cord-279112-ajdkasah	14	29	of	of	ADP
cord-279112-ajdkasah	14	30	time	time	NOUN
cord-279112-ajdkasah	14	31	(	(	PUNCT
cord-279112-ajdkasah	14	32	measured	measure	VERB
cord-279112-ajdkasah	14	33	typically	typically	ADV
cord-279112-ajdkasah	14	34	in	in	ADP
cord-279112-ajdkasah	14	35	days	day	NOUN
cord-279112-ajdkasah	14	36	,	,	PUNCT
cord-279112-ajdkasah	14	37	weeks	week	NOUN
cord-279112-ajdkasah	14	38	or	or	CCONJ
cord-279112-ajdkasah	14	39	months	month	NOUN
cord-279112-ajdkasah	14	40	in	in	ADP
cord-279112-ajdkasah	14	41	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	14	42	records	record	NOUN
cord-279112-ajdkasah	14	43	)	)	PUNCT
cord-279112-ajdkasah	14	44	.	.	PUNCT
cord-279112-ajdkasah	15	1	quantitatively	quantitatively	ADV
cord-279112-ajdkasah	15	2	,	,	PUNCT
cord-279112-ajdkasah	15	3	while	while	SCONJ
cord-279112-ajdkasah	15	4	the	the	DET
cord-279112-ajdkasah	15	5	interaction	interaction	NOUN
cord-279112-ajdkasah	15	6	in	in	ADP
cord-279112-ajdkasah	15	7	the	the	DET
cord-279112-ajdkasah	15	8	form	form	NOUN
cord-279112-ajdkasah	15	9	of	of	ADP
cord-279112-ajdkasah	15	10	the	the	DET
cord-279112-ajdkasah	15	11	product	product	NOUN
cord-279112-ajdkasah	15	12	si	si	PROPN
cord-279112-ajdkasah	15	13	makes	make	VERB
cord-279112-ajdkasah	15	14	it	it	PRON
cord-279112-ajdkasah	15	15	difficult	difficult	ADJ
cord-279112-ajdkasah	15	16	to	to	PART
cord-279112-ajdkasah	15	17	determine	determine	VERB
cord-279112-ajdkasah	15	18	the	the	DET
cord-279112-ajdkasah	15	19	parameter	parameter	NOUN
cord-279112-ajdkasah	15	20	β	β	NOUN
cord-279112-ajdkasah	15	21	from	from	ADP
cord-279112-ajdkasah	15	22	observed	observed	ADJ
cord-279112-ajdkasah	15	23	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	15	24	data	datum	NOUN
cord-279112-ajdkasah	15	25	,	,	PUNCT
cord-279112-ajdkasah	15	26	from	from	ADP
cord-279112-ajdkasah	15	27	equation	equation	NOUN
cord-279112-ajdkasah	15	28	(	(	PUNCT
cord-279112-ajdkasah	15	29	3	3	X
cord-279112-ajdkasah	15	30	)	)	PUNCT
cord-279112-ajdkasah	15	31	the	the	DET
cord-279112-ajdkasah	15	32	inverse	inverse	NOUN
cord-279112-ajdkasah	15	33	of	of	ADP
cord-279112-ajdkasah	15	34	the	the	DET
cord-279112-ajdkasah	15	35	parameter	parameter	NOUN
cord-279112-ajdkasah	15	36	(	(	PUNCT
cord-279112-ajdkasah	15	37	γ	γ	NOUN
cord-279112-ajdkasah	15	38	)	)	PUNCT
cord-279112-ajdkasah	15	39	gives	give	VERB
cord-279112-ajdkasah	15	40	a	a	DET
cord-279112-ajdkasah	15	41	measure	measure	NOUN
cord-279112-ajdkasah	15	42	of	of	ADP
cord-279112-ajdkasah	15	43	the	the	DET
cord-279112-ajdkasah	15	44	time	time	NOUN
cord-279112-ajdkasah	15	45	spent	spend	VERB
cord-279112-ajdkasah	15	46	by	by	ADP
cord-279112-ajdkasah	15	47	individuals	individual	NOUN
cord-279112-ajdkasah	15	48	in	in	ADP
cord-279112-ajdkasah	15	49	the	the	DET
cord-279112-ajdkasah	15	50	infectious	infectious	ADJ
cord-279112-ajdkasah	15	51	stage	stage	NOUN
cord-279112-ajdkasah	15	52	.	.	PUNCT
cord-279112-ajdkasah	16	1	consequently	consequently	ADV
cord-279112-ajdkasah	16	2	,	,	PUNCT
cord-279112-ajdkasah	16	3	by	by	ADP
cord-279112-ajdkasah	16	4	carefully	carefully	ADV
cord-279112-ajdkasah	16	5	observing	observe	VERB
cord-279112-ajdkasah	16	6	the	the	DET
cord-279112-ajdkasah	16	7	development	development	NOUN
cord-279112-ajdkasah	16	8	of	of	ADP
cord-279112-ajdkasah	16	9	an	an	DET
cord-279112-ajdkasah	16	10	infectious	infectious	ADJ
cord-279112-ajdkasah	16	11	disease	disease	NOUN
cord-279112-ajdkasah	16	12	,	,	PUNCT
cord-279112-ajdkasah	16	13	the	the	DET
cord-279112-ajdkasah	16	14	parameter	parameter	NOUN
cord-279112-ajdkasah	16	15	γ	γ	X
cord-279112-ajdkasah	16	16	can	can	AUX
cord-279112-ajdkasah	16	17	be	be	AUX
cord-279112-ajdkasah	16	18	estimated	estimate	VERB
cord-279112-ajdkasah	16	19	(	(	PUNCT
cord-279112-ajdkasah	16	20	as	as	ADP
cord-279112-ajdkasah	16	21	the	the	DET
cord-279112-ajdkasah	16	22	inverse	inverse	NOUN
cord-279112-ajdkasah	16	23	of	of	ADP
cord-279112-ajdkasah	16	24	the	the	DET
cord-279112-ajdkasah	16	25	recovered	recovered	ADJ
cord-279112-ajdkasah	16	26	or	or	CCONJ
cord-279112-ajdkasah	16	27	infectious	infectious	ADJ
cord-279112-ajdkasah	16	28	period	period	NOUN
cord-279112-ajdkasah	16	29	)	)	PUNCT
cord-279112-ajdkasah	16	30	by	by	ADP
cord-279112-ajdkasah	16	31	epidemiologists	epidemiologist	NOUN
cord-279112-ajdkasah	16	32	from	from	ADP
cord-279112-ajdkasah	16	33	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	16	34	records	record	NOUN
cord-279112-ajdkasah	16	35	.	.	PUNCT
cord-279112-ajdkasah	17	1	one	one	PRON
cord-279112-ajdkasah	17	2	should	should	AUX
cord-279112-ajdkasah	17	3	be	be	AUX
cord-279112-ajdkasah	17	4	aware	aware	ADJ
cord-279112-ajdkasah	17	5	that	that	SCONJ
cord-279112-ajdkasah	17	6	neither	neither	PRON
cord-279112-ajdkasah	17	7	of	of	ADP
cord-279112-ajdkasah	17	8	the	the	DET
cord-279112-ajdkasah	17	9	parameters	parameter	NOUN
cord-279112-ajdkasah	17	10	β	β	NOUN
cord-279112-ajdkasah	17	11	or	or	CCONJ
cord-279112-ajdkasah	17	12	γ	γ	NOUN
cord-279112-ajdkasah	17	13	remains	remain	VERB
cord-279112-ajdkasah	17	14	constant	constant	ADJ
cord-279112-ajdkasah	17	15	as	as	SCONJ
cord-279112-ajdkasah	17	16	the	the	DET
cord-279112-ajdkasah	17	17	infection	infection	NOUN
cord-279112-ajdkasah	17	18	evolves	evolve	VERB
cord-279112-ajdkasah	17	19	[	[	NUM
cord-279112-ajdkasah	17	20	2	2	NUM
cord-279112-ajdkasah	17	21	,	,	PUNCT
cord-279112-ajdkasah	17	22	3	3	NUM
cord-279112-ajdkasah	17	23	,	,	PUNCT
cord-279112-ajdkasah	17	24	4	4	NUM
cord-279112-ajdkasah	17	25	,	,	PUNCT
cord-279112-ajdkasah	17	26	5	5	NUM
cord-279112-ajdkasah	17	27	]	]	PUNCT
cord-279112-ajdkasah	17	28	.	.	PUNCT
cord-279112-ajdkasah	18	1	moreover	moreover	ADV
cord-279112-ajdkasah	18	2	,	,	PUNCT
cord-279112-ajdkasah	18	3	the	the	DET
cord-279112-ajdkasah	18	4	assumptions	assumption	NOUN
cord-279112-ajdkasah	18	5	on	on	ADP
cord-279112-ajdkasah	18	6	which	which	PRON
cord-279112-ajdkasah	18	7	the	the	DET
cord-279112-ajdkasah	18	8	model	model	NOUN
cord-279112-ajdkasah	18	9	are	be	AUX
cord-279112-ajdkasah	18	10	built	build	VERB
cord-279112-ajdkasah	18	11	are	be	AUX
cord-279112-ajdkasah	18	12	no	no	ADV
cord-279112-ajdkasah	18	13	longer	long	ADV
cord-279112-ajdkasah	18	14	valid	valid	ADJ
cord-279112-ajdkasah	18	15	as	as	ADV
cord-279112-ajdkasah	18	16	soon	soon	ADV
cord-279112-ajdkasah	18	17	as	as	SCONJ
cord-279112-ajdkasah	18	18	sanitary	sanitary	ADJ
cord-279112-ajdkasah	18	19	interventions	intervention	NOUN
cord-279112-ajdkasah	18	20	are	be	AUX
cord-279112-ajdkasah	18	21	applied	apply	VERB
cord-279112-ajdkasah	18	22	to	to	PART
cord-279112-ajdkasah	18	23	control	control	VERB
cord-279112-ajdkasah	18	24	the	the	DET
cord-279112-ajdkasah	18	25	infection	infection	NOUN
cord-279112-ajdkasah	18	26	.	.	PUNCT
cord-279112-ajdkasah	19	1	as	as	SCONJ
cord-279112-ajdkasah	19	2	discussed	discuss	VERB
cord-279112-ajdkasah	19	3	in	in	ADP
cord-279112-ajdkasah	19	4	the	the	DET
cord-279112-ajdkasah	19	5	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	19	6	literature	literature	NOUN
cord-279112-ajdkasah	19	7	[	[	PUNCT
cord-279112-ajdkasah	19	8	2	2	NUM
cord-279112-ajdkasah	19	9	,	,	PUNCT
cord-279112-ajdkasah	19	10	3	3	NUM
cord-279112-ajdkasah	19	11	,	,	PUNCT
cord-279112-ajdkasah	19	12	4	4	NUM
cord-279112-ajdkasah	19	13	]	]	PUNCT
cord-279112-ajdkasah	19	14	,	,	PUNCT
cord-279112-ajdkasah	19	15	a	a	DET
cord-279112-ajdkasah	19	16	straight	straight	ADJ
cord-279112-ajdkasah	19	17	forward	forward	ADJ
cord-279112-ajdkasah	19	18	combination	combination	NOUN
cord-279112-ajdkasah	19	19	of	of	ADP
cord-279112-ajdkasah	19	20	the	the	DET
cord-279112-ajdkasah	19	21	sir	sir	PROPN
cord-279112-ajdkasah	19	22	model	model	NOUN
cord-279112-ajdkasah	19	23	equations	equation	NOUN
cord-279112-ajdkasah	19	24	(	(	PUNCT
cord-279112-ajdkasah	19	25	1)-(3	1)-(3	NUM
cord-279112-ajdkasah	19	26	)	)	PUNCT
cord-279112-ajdkasah	19	27	leads	lead	VERB
cord-279112-ajdkasah	19	28	to	to	ADP
cord-279112-ajdkasah	19	29	a	a	DET
cord-279112-ajdkasah	19	30	non	non	ADJ
cord-279112-ajdkasah	19	31	-	-	ADJ
cord-279112-ajdkasah	19	32	linear	linear	ADJ
cord-279112-ajdkasah	19	33	differential	differential	ADJ
cord-279112-ajdkasah	19	34	equation	equation	NOUN
cord-279112-ajdkasah	19	35	for	for	ADP
cord-279112-ajdkasah	19	36	dr	dr	PROPN
cord-279112-ajdkasah	19	37	/	/	SYM
cord-279112-ajdkasah	19	38	dt	dt	PROPN
cord-279112-ajdkasah	19	39	,	,	PUNCT
cord-279112-ajdkasah	19	40	interpreted	interpret	VERB
cord-279112-ajdkasah	19	41	as	as	ADP
cord-279112-ajdkasah	19	42	the	the	DET
cord-279112-ajdkasah	19	43	properly	properly	ADV
cord-279112-ajdkasah	19	44	counted	count	VERB
cord-279112-ajdkasah	19	45	individuals	individual	NOUN
cord-279112-ajdkasah	19	46	removed	remove	VERB
cord-279112-ajdkasah	19	47	(	(	PUNCT
cord-279112-ajdkasah	19	48	either	either	CCONJ
cord-279112-ajdkasah	19	49	because	because	SCONJ
cord-279112-ajdkasah	19	50	they	they	PRON
cord-279112-ajdkasah	19	51	have	have	AUX
cord-279112-ajdkasah	19	52	recovered	recover	VERB
cord-279112-ajdkasah	19	53	or	or	CCONJ
cord-279112-ajdkasah	19	54	death	death	NOUN
cord-279112-ajdkasah	19	55	)	)	PUNCT
cord-279112-ajdkasah	19	56	from	from	ADP
cord-279112-ajdkasah	19	57	medical	medical	ADJ
cord-279112-ajdkasah	19	58	units	unit	NOUN
cord-279112-ajdkasah	19	59	:	:	PUNCT
cord-279112-ajdkasah	19	60	for	for	ADP
cord-279112-ajdkasah	19	61	not	not	PART
cord-279112-ajdkasah	19	62	severe	severe	ADJ
cord-279112-ajdkasah	19	63	epidemics	epidemic	NOUN
cord-279112-ajdkasah	19	64	,	,	PUNCT
cord-279112-ajdkasah	19	65	kermack	kermack	PROPN
cord-279112-ajdkasah	19	66	and	and	CCONJ
cord-279112-ajdkasah	19	67	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	19	68	(	(	PUNCT
cord-279112-ajdkasah	19	69	1927	1927	NUM
cord-279112-ajdkasah	19	70	)	)	PUNCT
cord-279112-ajdkasah	20	1	[	[	X
cord-279112-ajdkasah	20	2	2	2	NUM
cord-279112-ajdkasah	20	3	]	]	X
cord-279112-ajdkasah	20	4	considered	consider	VERB
cord-279112-ajdkasah	20	5	r(t)/ρ	r(t)/ρ	PRON
cord-279112-ajdkasah	20	6	<	<	X
cord-279112-ajdkasah	20	7	1	1	NUM
cord-279112-ajdkasah	20	8	and	and	CCONJ
cord-279112-ajdkasah	20	9	proposes	propose	VERB
cord-279112-ajdkasah	20	10	that	that	SCONJ
cord-279112-ajdkasah	20	11	dr	dr	PROPN
cord-279112-ajdkasah	20	12	/	/	PROPN
cord-279112-ajdkasah	20	13	dt	dt	PROPN
cord-279112-ajdkasah	20	14	could	could	AUX
cord-279112-ajdkasah	20	15	be	be	AUX
cord-279112-ajdkasah	20	16	approximated	approximate	VERB
cord-279112-ajdkasah	20	17	by	by	ADP
cord-279112-ajdkasah	20	18	:	:	PUNCT
cord-279112-ajdkasah	20	19	considering	consider	VERB
cord-279112-ajdkasah	20	20	that	that	SCONJ
cord-279112-ajdkasah	20	21	s0	s0	PROPN
cord-279112-ajdkasah	20	22	(	(	PUNCT
cord-279112-ajdkasah	20	23	6	6	NUM
cord-279112-ajdkasah	20	24	)	)	PUNCT
cord-279112-ajdkasah	20	25	can	can	AUX
cord-279112-ajdkasah	20	26	be	be	AUX
cord-279112-ajdkasah	20	27	written	write	VERB
cord-279112-ajdkasah	20	28	in	in	ADP
cord-279112-ajdkasah	20	29	the	the	DET
cord-279112-ajdkasah	20	30	form	form	NOUN
cord-279112-ajdkasah	21	1	[	[	PUNCT
cord-279112-ajdkasah	21	2	2	2	NUM
cord-279112-ajdkasah	21	3	,	,	PUNCT
cord-279112-ajdkasah	21	4	4	4	NUM
cord-279112-ajdkasah	21	5	]	]	PUNCT
cord-279112-ajdkasah	21	6	where	where	SCONJ
cord-279112-ajdkasah	21	7	tanh(x	tanh(x	PROPN
cord-279112-ajdkasah	21	8	)	)	PUNCT
cord-279112-ajdkasah	21	9	is	be	AUX
cord-279112-ajdkasah	21	10	the	the	DET
cord-279112-ajdkasah	21	11	hyperbolic	hyperbolic	ADJ
cord-279112-ajdkasah	21	12	tangent	tangent	NOUN
cord-279112-ajdkasah	21	13	of	of	ADP
cord-279112-ajdkasah	21	14	x	x	PROPN
cord-279112-ajdkasah	21	15	,	,	PUNCT
cord-279112-ajdkasah	21	16	and	and	CCONJ
cord-279112-ajdkasah	21	17	here	here	ADV
cord-279112-ajdkasah	21	18	tanh	tanh	PROPN
cord-279112-ajdkasah	21	19	−1	−1	NOUN
cord-279112-ajdkasah	21	20	(	(	PUNCT
cord-279112-ajdkasah	21	21	x	x	X
cord-279112-ajdkasah	21	22	)	)	PUNCT
cord-279112-ajdkasah	21	23	is	be	AUX
cord-279112-ajdkasah	21	24	the	the	DET
cord-279112-ajdkasah	21	25	inverse	inverse	NOUN
cord-279112-ajdkasah	21	26	of	of	ADP
cord-279112-ajdkasah	21	27	the	the	DET
cord-279112-ajdkasah	21	28	hyperbolic	hyperbolic	ADJ
cord-279112-ajdkasah	21	29	tangent	tangent	NOUN
cord-279112-ajdkasah	21	30	of	of	ADP
cord-279112-ajdkasah	21	31	x.	x.	PROPN
cord-279112-ajdkasah	21	32	from	from	ADP
cord-279112-ajdkasah	21	33	equation	equation	NOUN
cord-279112-ajdkasah	21	34	(	(	PUNCT
cord-279112-ajdkasah	21	35	7	7	NUM
cord-279112-ajdkasah	21	36	)	)	PUNCT
cord-279112-ajdkasah	21	37	,	,	PUNCT
cord-279112-ajdkasah	21	38	we	we	PRON
cord-279112-ajdkasah	21	39	also	also	ADV
cord-279112-ajdkasah	21	40	obtain	obtain	VERB
cord-279112-ajdkasah	21	41	the	the	DET
cord-279112-ajdkasah	21	42	kermack	kermack	NOUN
cord-279112-ajdkasah	21	43	and	and	CCONJ
cord-279112-ajdkasah	21	44	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	21	45	(	(	PUNCT
cord-279112-ajdkasah	21	46	1927	1927	NUM
cord-279112-ajdkasah	21	47	)	)	PUNCT
cord-279112-ajdkasah	21	48	approximated	approximated	ADJ
cord-279112-ajdkasah	21	49	solution	solution	NOUN
cord-279112-ajdkasah	21	50	(	(	PUNCT
cord-279112-ajdkasah	21	51	or	or	CCONJ
cord-279112-ajdkasah	21	52	the	the	DET
cord-279112-ajdkasah	21	53	km	km	PROPN
cord-279112-ajdkasah	21	54	approximation	approximation	NOUN
cord-279112-ajdkasah	21	55	)	)	PUNCT
cord-279112-ajdkasah	21	56	of	of	ADP
cord-279112-ajdkasah	21	57	the	the	DET
cord-279112-ajdkasah	21	58	sir	sir	PROPN
cord-279112-ajdkasah	21	59	model	model	NOUN
cord-279112-ajdkasah	21	60	[	[	X
cord-279112-ajdkasah	21	61	2	2	NUM
cord-279112-ajdkasah	21	62	]	]	PUNCT
cord-279112-ajdkasah	21	63	where	where	SCONJ
cord-279112-ajdkasah	21	64	sech(x	sech(x	PROPN
cord-279112-ajdkasah	21	65	)	)	PUNCT
cord-279112-ajdkasah	21	66	is	be	AUX
cord-279112-ajdkasah	21	67	the	the	DET
cord-279112-ajdkasah	21	68	hyperbolic	hyperbolic	ADJ
cord-279112-ajdkasah	21	69	secant	secant	NOUN
cord-279112-ajdkasah	21	70	of	of	ADP
cord-279112-ajdkasah	21	71	x.	x.	PROPN
cord-279112-ajdkasah	21	72	kermack	kermack	PROPN
cord-279112-ajdkasah	21	73	and	and	CCONJ
cord-279112-ajdkasah	21	74	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	21	75	were	be	AUX
cord-279112-ajdkasah	21	76	able	able	ADJ
cord-279112-ajdkasah	21	77	to	to	PART
cord-279112-ajdkasah	21	78	study	study	VERB
cord-279112-ajdkasah	21	79	a	a	DET
cord-279112-ajdkasah	21	80	bombay	bombay	ADJ
cord-279112-ajdkasah	21	81	1905	1905	NUM
cord-279112-ajdkasah	21	82	-	-	SYM
cord-279112-ajdkasah	21	83	1906	1906	NUM
cord-279112-ajdkasah	21	84	plague	plague	NOUN
cord-279112-ajdkasah	21	85	using	use	VERB
cord-279112-ajdkasah	21	86	equation	equation	NOUN
cord-279112-ajdkasah	21	87	(	(	PUNCT
cord-279112-ajdkasah	21	88	10	10	NUM
cord-279112-ajdkasah	21	89	)	)	PUNCT
cord-279112-ajdkasah	21	90	2	2	NUM
cord-279112-ajdkasah	21	91	using	use	VERB
cord-279112-ajdkasah	21	92	cumulative	cumulative	ADJ
cord-279112-ajdkasah	21	93	confirmed	confirm	VERB
cord-279112-ajdkasah	21	94	cases	case	NOUN
cord-279112-ajdkasah	21	95	data	datum	NOUN
cord-279112-ajdkasah	21	96	reported	report	VERB
cord-279112-ajdkasah	21	97	by	by	ADP
cord-279112-ajdkasah	21	98	the	the	DET
cord-279112-ajdkasah	21	99	european	european	PROPN
cord-279112-ajdkasah	21	100	centre	centre	PROPN
cord-279112-ajdkasah	21	101	for	for	ADP
cord-279112-ajdkasah	21	102	disease	disease	NOUN
cord-279112-ajdkasah	21	103	prevention	prevention	NOUN
cord-279112-ajdkasah	21	104	and	and	CCONJ
cord-279112-ajdkasah	21	105	control	control	NOUN
cord-279112-ajdkasah	22	1	[	[	PUNCT
cord-279112-ajdkasah	22	2	7	7	NUM
cord-279112-ajdkasah	22	3	]	]	PUNCT
cord-279112-ajdkasah	22	4	regarding	regard	VERB
cord-279112-ajdkasah	22	5	the	the	DET
cord-279112-ajdkasah	22	6	coronavirus	coronavirus	NOUN
cord-279112-ajdkasah	22	7	covid-19	covid-19	PROPN
cord-279112-ajdkasah	22	8	pandemic	pandemic	ADJ
cord-279112-ajdkasah	22	9	outbreak	outbreak	NOUN
cord-279112-ajdkasah	22	10	,	,	PUNCT
cord-279112-ajdkasah	22	11	we	we	PRON
cord-279112-ajdkasah	22	12	used	use	VERB
cord-279112-ajdkasah	22	13	computing	compute	VERB
cord-279112-ajdkasah	22	14	routines	routine	NOUN
cord-279112-ajdkasah	22	15	to	to	PART
cord-279112-ajdkasah	22	16	fit	fit	VERB
cord-279112-ajdkasah	22	17	data	datum	NOUN
cord-279112-ajdkasah	22	18	using	use	VERB
cord-279112-ajdkasah	22	19	equation	equation	NOUN
cord-279112-ajdkasah	22	20	(	(	PUNCT
cord-279112-ajdkasah	22	21	7	7	NUM
cord-279112-ajdkasah	22	22	)	)	PUNCT
cord-279112-ajdkasah	22	23	written	write	VERB
cord-279112-ajdkasah	22	24	in	in	ADP
cord-279112-ajdkasah	22	25	the	the	DET
cord-279112-ajdkasah	22	26	form	form	NOUN
cord-279112-ajdkasah	22	27	:	:	PUNCT
cord-279112-ajdkasah	22	28	setting	set	VERB
cord-279112-ajdkasah	22	29	c	c	NOUN
cord-279112-ajdkasah	22	30	0	0	PUNCT
cord-279112-ajdkasah	22	31	=	=	SYM
cord-279112-ajdkasah	22	32	c	c	NOUN
cord-279112-ajdkasah	22	33	1	1	NUM
cord-279112-ajdkasah	22	34	tanh(c	tanh(c	NOUN
cord-279112-ajdkasah	22	35	3	3	NUM
cord-279112-ajdkasah	22	36	)	)	PUNCT
cord-279112-ajdkasah	22	37	to	to	PART
cord-279112-ajdkasah	22	38	meet	meet	VERB
cord-279112-ajdkasah	22	39	the	the	DET
cord-279112-ajdkasah	22	40	initial	initial	ADJ
cord-279112-ajdkasah	22	41	condition	condition	NOUN
cord-279112-ajdkasah	22	42	r(t	r(t	NOUN
cord-279112-ajdkasah	22	43	=	=	NOUN
cord-279112-ajdkasah	22	44	0	0	NUM
cord-279112-ajdkasah	22	45	)	)	PUNCT
cord-279112-ajdkasah	22	46	=	=	NOUN
cord-279112-ajdkasah	22	47	0	0	X
cord-279112-ajdkasah	22	48	.	.	PUNCT
cord-279112-ajdkasah	23	1	to	to	PART
cord-279112-ajdkasah	23	2	find	find	VERB
cord-279112-ajdkasah	23	3	numerical	numerical	ADJ
cord-279112-ajdkasah	23	4	solution	solution	NOUN
cord-279112-ajdkasah	23	5	of	of	ADP
cord-279112-ajdkasah	23	6	the	the	DET
cord-279112-ajdkasah	23	7	sir	sir	PROPN
cord-279112-ajdkasah	23	8	model	model	NOUN
cord-279112-ajdkasah	23	9	,	,	PUNCT
cord-279112-ajdkasah	23	10	equations	equation	NOUN
cord-279112-ajdkasah	23	11	(	(	PUNCT
cord-279112-ajdkasah	23	12	1)-(3	1)-(3	NUM
cord-279112-ajdkasah	23	13	)	)	PUNCT
cord-279112-ajdkasah	23	14	,	,	PUNCT
cord-279112-ajdkasah	23	15	in	in	ADP
cord-279112-ajdkasah	23	16	addition	addition	NOUN
cord-279112-ajdkasah	23	17	to	to	ADP
cord-279112-ajdkasah	23	18	the	the	DET
cord-279112-ajdkasah	23	19	parameters	parameter	NOUN
cord-279112-ajdkasah	23	20	β	β	NOUN
cord-279112-ajdkasah	23	21	and	and	CCONJ
cord-279112-ajdkasah	23	22	γ	γ	NOUN
cord-279112-ajdkasah	23	23	we	we	PRON
cord-279112-ajdkasah	23	24	also	also	ADV
cord-279112-ajdkasah	23	25	need	need	VERB
cord-279112-ajdkasah	23	26	to	to	PART
cord-279112-ajdkasah	23	27	know	know	VERB
cord-279112-ajdkasah	23	28	initial	initial	ADJ
cord-279112-ajdkasah	23	29	conditions	condition	NOUN
cord-279112-ajdkasah	23	30	s0	s0	PROPN
cord-279112-ajdkasah	23	31	=	=	PROPN
cord-279112-ajdkasah	23	32	s(t	s(t	PROPN
cord-279112-ajdkasah	23	33	=	=	X
cord-279112-ajdkasah	23	34	0	0	NUM
cord-279112-ajdkasah	23	35	)	)	PUNCT
cord-279112-ajdkasah	23	36	,	,	PUNCT
cord-279112-ajdkasah	23	37	i0	i0	PROPN
cord-279112-ajdkasah	23	38	=	=	X
cord-279112-ajdkasah	23	39	i(t	i(t	PROPN
cord-279112-ajdkasah	23	40	=	=	X
cord-279112-ajdkasah	23	41	0	0	NUM
cord-279112-ajdkasah	23	42	)	)	PUNCT
cord-279112-ajdkasah	23	43	,	,	PUNCT
cord-279112-ajdkasah	23	44	and	and	CCONJ
cord-279112-ajdkasah	23	45	r0	r0	PROPN
cord-279112-ajdkasah	23	46	=	=	NOUN
cord-279112-ajdkasah	23	47	r(t	r(t	NOUN
cord-279112-ajdkasah	23	48	=	=	NOUN
cord-279112-ajdkasah	23	49	0	0	NUM
cord-279112-ajdkasah	23	50	)	)	PUNCT
cord-279112-ajdkasah	23	51	.	.	PUNCT
cord-279112-ajdkasah	24	1	as	as	SCONJ
cord-279112-ajdkasah	24	2	required	require	VERB
cord-279112-ajdkasah	24	3	by	by	ADP
cord-279112-ajdkasah	24	4	the	the	DET
cord-279112-ajdkasah	24	5	sir	sir	PROPN
cord-279112-ajdkasah	24	6	model	model	NOUN
cord-279112-ajdkasah	24	7	,	,	PUNCT
cord-279112-ajdkasah	24	8	we	we	PRON
cord-279112-ajdkasah	24	9	set	set	VERB
cord-279112-ajdkasah	24	10	r0	r0	PROPN
cord-279112-ajdkasah	24	11	=	=	X
cord-279112-ajdkasah	24	12	0	0	NUM
cord-279112-ajdkasah	24	13	.	.	PUNCT
cord-279112-ajdkasah	25	1	as	as	SCONJ
cord-279112-ajdkasah	25	2	already	already	ADV
cord-279112-ajdkasah	25	3	mentioned	mention	VERB
cord-279112-ajdkasah	25	4	,	,	PUNCT
cord-279112-ajdkasah	25	5	an	an	DET
cord-279112-ajdkasah	25	6	estimated	estimate	VERB
cord-279112-ajdkasah	25	7	for	for	ADP
cord-279112-ajdkasah	25	8	γ	γ	NOUN
cord-279112-ajdkasah	25	9	could	could	AUX
cord-279112-ajdkasah	25	10	be	be	AUX
cord-279112-ajdkasah	25	11	obtained	obtain	VERB
cord-279112-ajdkasah	25	12	from	from	ADP
cord-279112-ajdkasah	25	13	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	25	14	records	record	NOUN
cord-279112-ajdkasah	25	15	as	as	SCONJ
cord-279112-ajdkasah	25	16	its	its	PRON
cord-279112-ajdkasah	25	17	inverse	inverse	NOUN
cord-279112-ajdkasah	25	18	(	(	PUNCT
cord-279112-ajdkasah	25	19	1	1	NUM
cord-279112-ajdkasah	25	20	/	/	SYM
cord-279112-ajdkasah	25	21	γ	γ	NUM
cord-279112-ajdkasah	25	22	)	)	PUNCT
cord-279112-ajdkasah	25	23	determines	determine	VERB
cord-279112-ajdkasah	25	24	the	the	DET
cord-279112-ajdkasah	25	25	average	average	ADJ
cord-279112-ajdkasah	25	26	infectious	infectious	ADJ
cord-279112-ajdkasah	25	27	period	period	NOUN
cord-279112-ajdkasah	25	28	of	of	ADP
cord-279112-ajdkasah	25	29	the	the	DET
cord-279112-ajdkasah	25	30	disease	disease	NOUN
cord-279112-ajdkasah	25	31	[	[	X
cord-279112-ajdkasah	25	32	4	4	NUM
cord-279112-ajdkasah	25	33	]	]	PUNCT
cord-279112-ajdkasah	25	34	.	.	PUNCT
cord-279112-ajdkasah	26	1	according	accord	VERB
cord-279112-ajdkasah	26	2	to	to	ADP
cord-279112-ajdkasah	26	3	the	the	DET
cord-279112-ajdkasah	26	4	european	european	PROPN
cord-279112-ajdkasah	26	5	centre	centre	PROPN
cord-279112-ajdkasah	26	6	for	for	ADP
cord-279112-ajdkasah	26	7	disease	disease	NOUN
cord-279112-ajdkasah	26	8	prevention	prevention	NOUN
cord-279112-ajdkasah	26	9	and	and	CCONJ
cord-279112-ajdkasah	26	10	control	control	NOUN
cord-279112-ajdkasah	26	11	regarding	regard	VERB
cord-279112-ajdkasah	26	12	the	the	DET
cord-279112-ajdkasah	26	13	coronavirus	coronavirus	NOUN
cord-279112-ajdkasah	26	14	covid-19	covid-19	PROPN
cord-279112-ajdkasah	26	15	pandemic	pandemic	ADJ
cord-279112-ajdkasah	26	16	[	[	X
cord-279112-ajdkasah	26	17	8	8	NUM
cord-279112-ajdkasah	26	18	]	]	PUNCT
cord-279112-ajdkasah	26	19	the	the	DET
cord-279112-ajdkasah	26	20	infectious	infectious	ADJ
cord-279112-ajdkasah	26	21	period	period	NOUN
cord-279112-ajdkasah	26	22	is	be	AUX
cord-279112-ajdkasah	26	23	"	"	PUNCT
cord-279112-ajdkasah	26	24	·	·	PUNCT
cord-279112-ajdkasah	26	25	·	·	PUNCT
cord-279112-ajdkasah	26	26	·	·	PUNCT
cord-279112-ajdkasah	26	27	estimated	estimate	VERB
cord-279112-ajdkasah	26	28	to	to	PART
cord-279112-ajdkasah	26	29	last	last	VERB
cord-279112-ajdkasah	26	30	for	for	ADP
cord-279112-ajdkasah	26	31	7	7	NUM
cord-279112-ajdkasah	26	32	-	-	SYM
cord-279112-ajdkasah	26	33	12	12	NUM
cord-279112-ajdkasah	26	34	days	day	NOUN
cord-279112-ajdkasah	26	35	in	in	ADP
cord-279112-ajdkasah	26	36	moderate	moderate	ADJ
cord-279112-ajdkasah	26	37	cases	case	NOUN
cord-279112-ajdkasah	26	38	and	and	CCONJ
cord-279112-ajdkasah	26	39	up	up	ADP
cord-279112-ajdkasah	26	40	to	to	PART
cord-279112-ajdkasah	26	41	two	two	NUM
cord-279112-ajdkasah	26	42	weeks	week	NOUN
cord-279112-ajdkasah	26	43	on	on	ADP
cord-279112-ajdkasah	26	44	average	average	ADJ
cord-279112-ajdkasah	26	45	in	in	ADP
cord-279112-ajdkasah	26	46	severe	severe	ADJ
cord-279112-ajdkasah	26	47	cases	case	NOUN
cord-279112-ajdkasah	26	48	.	.	PUNCT
cord-279112-ajdkasah	26	49	"	"	PUNCT
cord-279112-ajdkasah	26	50	.	.	PUNCT
cord-279112-ajdkasah	27	1	accordingly	accordingly	ADV
cord-279112-ajdkasah	27	2	,	,	PUNCT
cord-279112-ajdkasah	27	3	γ	γ	NOUN
cord-279112-ajdkasah	27	4	values	value	NOUN
cord-279112-ajdkasah	27	5	for	for	ADP
cord-279112-ajdkasah	27	6	computation	computation	NOUN
cord-279112-ajdkasah	27	7	used	use	VERB
cord-279112-ajdkasah	27	8	in	in	ADP
cord-279112-ajdkasah	27	9	this	this	DET
cord-279112-ajdkasah	27	10	comment	comment	NOUN
cord-279112-ajdkasah	27	11	were	be	AUX
cord-279112-ajdkasah	27	12	set	set	VERB
cord-279112-ajdkasah	27	13	to	to	PART
cord-279112-ajdkasah	27	14	yield	yield	VERB
cord-279112-ajdkasah	27	15	an	an	DET
cord-279112-ajdkasah	27	16	infectious	infectious	ADJ
cord-279112-ajdkasah	27	17	period	period	NOUN
cord-279112-ajdkasah	27	18	in	in	ADP
cord-279112-ajdkasah	27	19	that	that	DET
cord-279112-ajdkasah	27	20	range	range	NOUN
cord-279112-ajdkasah	27	21	.	.	PUNCT
cord-279112-ajdkasah	28	1	for	for	ADP
cord-279112-ajdkasah	28	2	β	β	PROPN
cord-279112-ajdkasah	28	3	,	,	PUNCT
cord-279112-ajdkasah	28	4	s0	s0	PROPN
cord-279112-ajdkasah	28	5	,	,	PUNCT
cord-279112-ajdkasah	28	6	and	and	CCONJ
cord-279112-ajdkasah	28	7	i0	i0	PROPN
cord-279112-ajdkasah	28	8	it	it	PRON
cord-279112-ajdkasah	28	9	is	be	AUX
cord-279112-ajdkasah	28	10	not	not	PART
cord-279112-ajdkasah	28	11	easy	easy	ADJ
cord-279112-ajdkasah	28	12	to	to	PART
cord-279112-ajdkasah	28	13	have	have	AUX
cord-279112-ajdkasah	28	14	observed	observe	VERB
cord-279112-ajdkasah	28	15	estimated	estimate	VERB
cord-279112-ajdkasah	28	16	values	value	NOUN
cord-279112-ajdkasah	28	17	.	.	PUNCT
cord-279112-ajdkasah	29	1	to	to	PART
cord-279112-ajdkasah	29	2	find	find	VERB
cord-279112-ajdkasah	29	3	reasonable	reasonable	ADJ
cord-279112-ajdkasah	29	4	starting	start	VERB
cord-279112-ajdkasah	29	5	values	value	NOUN
cord-279112-ajdkasah	29	6	for	for	ADP
cord-279112-ajdkasah	29	7	them	they	PRON
cord-279112-ajdkasah	29	8	we	we	PRON
cord-279112-ajdkasah	29	9	applied	apply	VERB
cord-279112-ajdkasah	29	10	a	a	DET
cord-279112-ajdkasah	29	11	heuristic	heuristic	ADJ
cord-279112-ajdkasah	29	12	approach	approach	NOUN
cord-279112-ajdkasah	29	13	which	which	PRON
cord-279112-ajdkasah	29	14	turns	turn	VERB
cord-279112-ajdkasah	29	15	out	out	ADP
cord-279112-ajdkasah	29	16	to	to	PART
cord-279112-ajdkasah	29	17	be	be	AUX
cord-279112-ajdkasah	29	18	helpful	helpful	ADJ
cord-279112-ajdkasah	29	19	in	in	ADP
cord-279112-ajdkasah	29	20	order	order	NOUN
cord-279112-ajdkasah	29	21	to	to	PART
cord-279112-ajdkasah	29	22	find	find	VERB
cord-279112-ajdkasah	29	23	numerical	numerical	ADJ
cord-279112-ajdkasah	29	24	solution	solution	NOUN
cord-279112-ajdkasah	29	25	of	of	ADP
cord-279112-ajdkasah	29	26	the	the	DET
cord-279112-ajdkasah	29	27	full	full	ADJ
cord-279112-ajdkasah	29	28	sir	sir	NOUN
cord-279112-ajdkasah	29	29	model	model	NOUN
cord-279112-ajdkasah	29	30	adjusting	adjust	VERB
cord-279112-ajdkasah	29	31	itself	itself	PRON
cord-279112-ajdkasah	29	32	to	to	ADP
cord-279112-ajdkasah	29	33	data	datum	NOUN
cord-279112-ajdkasah	29	34	fitted	fit	VERB
cord-279112-ajdkasah	29	35	by	by	ADP
cord-279112-ajdkasah	29	36	the	the	DET
cord-279112-ajdkasah	29	37	kermack	kermack	NOUN
cord-279112-ajdkasah	29	38	and	and	CCONJ
cord-279112-ajdkasah	29	39	mckendrick	mckendrick	PROPN
cord-279112-ajdkasah	29	40	solution	solution	NOUN
cord-279112-ajdkasah	29	41	in	in	ADP
cord-279112-ajdkasah	29	42	equation	equation	NOUN
cord-279112-ajdkasah	29	43	(	(	PUNCT
cord-279112-ajdkasah	29	44	10	10	NUM
cord-279112-ajdkasah	29	45	)	)	PUNCT
cord-279112-ajdkasah	29	46	.	.	PUNCT
cord-279112-ajdkasah	30	1	then	then	ADV
cord-279112-ajdkasah	30	2	,	,	PUNCT
cord-279112-ajdkasah	30	3	by	by	ADP
cord-279112-ajdkasah	30	4	a	a	DET
cord-279112-ajdkasah	30	5	standard	standard	ADJ
cord-279112-ajdkasah	30	6	figure	figure	NOUN
cord-279112-ajdkasah	30	7	1	1	NUM
cord-279112-ajdkasah	30	8	:	:	PUNCT
cord-279112-ajdkasah	30	9	the	the	DET
cord-279112-ajdkasah	30	10	graph	graph	NOUN
cord-279112-ajdkasah	30	11	shows	show	VERB
cord-279112-ajdkasah	30	12	the	the	DET
cord-279112-ajdkasah	30	13	km	km	PROPN
cord-279112-ajdkasah	30	14	approximation	approximation	NOUN
cord-279112-ajdkasah	30	15	r(t	r(t	NOUN
cord-279112-ajdkasah	30	16	)	)	PUNCT
cord-279112-ajdkasah	30	17	given	give	VERB
cord-279112-ajdkasah	30	18	in	in	ADP
cord-279112-ajdkasah	30	19	equation	equation	NOUN
cord-279112-ajdkasah	30	20	(	(	PUNCT
cord-279112-ajdkasah	30	21	7	7	NUM
cord-279112-ajdkasah	30	22	)	)	PUNCT
cord-279112-ajdkasah	30	23	(	(	PUNCT
cord-279112-ajdkasah	30	24	with	with	ADP
cord-279112-ajdkasah	30	25	fitting	fitting	ADJ
cord-279112-ajdkasah	30	26	parameters	parameter	NOUN
cord-279112-ajdkasah	30	27	shown	show	VERB
cord-279112-ajdkasah	30	28	in	in	ADP
cord-279112-ajdkasah	30	29	table	table	NOUN
cord-279112-ajdkasah	30	30	1	1	NUM
cord-279112-ajdkasah	30	31	,	,	PUNCT
cord-279112-ajdkasah	30	32	according	accord	VERB
cord-279112-ajdkasah	30	33	to	to	ADP
cord-279112-ajdkasah	30	34	equation	equation	NOUN
cord-279112-ajdkasah	30	35	(	(	PUNCT
cord-279112-ajdkasah	30	36	11	11	NUM
cord-279112-ajdkasah	30	37	)	)	PUNCT
cord-279112-ajdkasah	30	38	)	)	PUNCT
cord-279112-ajdkasah	30	39	and	and	CCONJ
cord-279112-ajdkasah	30	40	the	the	DET
cord-279112-ajdkasah	30	41	full	full	ADJ
cord-279112-ajdkasah	30	42	numerical	numerical	ADJ
cord-279112-ajdkasah	30	43	solution	solution	NOUN
cord-279112-ajdkasah	30	44	of	of	ADP
cord-279112-ajdkasah	30	45	the	the	DET
cord-279112-ajdkasah	30	46	sir	sir	PROPN
cord-279112-ajdkasah	30	47	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	30	48	model	model	NOUN
cord-279112-ajdkasah	30	49	defined	define	VERB
cord-279112-ajdkasah	30	50	by	by	ADP
cord-279112-ajdkasah	30	51	equations	equation	NOUN
cord-279112-ajdkasah	30	52	(	(	PUNCT
cord-279112-ajdkasah	30	53	1)-(3	1)-(3	NUM
cord-279112-ajdkasah	30	54	)	)	PUNCT
cord-279112-ajdkasah	30	55	(	(	PUNCT
cord-279112-ajdkasah	30	56	with	with	ADP
cord-279112-ajdkasah	30	57	integration	integration	NOUN
cord-279112-ajdkasah	30	58	parameters	parameter	NOUN
cord-279112-ajdkasah	30	59	compiled	compile	VERB
cord-279112-ajdkasah	30	60	in	in	ADP
cord-279112-ajdkasah	30	61	table	table	NOUN
cord-279112-ajdkasah	30	62	2	2	NUM
cord-279112-ajdkasah	30	63	)	)	PUNCT
cord-279112-ajdkasah	30	64	,	,	PUNCT
cord-279112-ajdkasah	30	65	both	both	CCONJ
cord-279112-ajdkasah	30	66	with	with	ADP
cord-279112-ajdkasah	30	67	reasonable	reasonable	ADJ
cord-279112-ajdkasah	30	68	estimated	estimate	VERB
cord-279112-ajdkasah	30	69	absolute	absolute	ADJ
cord-279112-ajdkasah	30	70	and	and	CCONJ
cord-279112-ajdkasah	30	71	relative	relative	ADJ
cord-279112-ajdkasah	30	72	rmse	rmse	ADJ
cord-279112-ajdkasah	30	73	values	value	NOUN
cord-279112-ajdkasah	30	74	are	be	AUX
cord-279112-ajdkasah	30	75	observed	observe	VERB
cord-279112-ajdkasah	30	76	to	to	PART
cord-279112-ajdkasah	30	77	adjust	adjust	VERB
cord-279112-ajdkasah	30	78	reported	report	VERB
cord-279112-ajdkasah	30	79	cumulative	cumulative	ADJ
cord-279112-ajdkasah	30	80	confirmed	confirm	VERB
cord-279112-ajdkasah	30	81	covid-19	covid-19	PROPN
cord-279112-ajdkasah	30	82	cases	case	NOUN
cord-279112-ajdkasah	30	83	for	for	ADP
cord-279112-ajdkasah	30	84	a	a	DET
cord-279112-ajdkasah	30	85	number	number	NOUN
cord-279112-ajdkasah	30	86	of	of	ADP
cord-279112-ajdkasah	30	87	countries	country	NOUN
cord-279112-ajdkasah	30	88	.	.	PUNCT
cord-279112-ajdkasah	31	1	data	datum	NOUN
cord-279112-ajdkasah	31	2	source	source	NOUN
cord-279112-ajdkasah	31	3	(	(	PUNCT
cord-279112-ajdkasah	31	4	available	available	ADJ
cord-279112-ajdkasah	31	5	in	in	ADP
cord-279112-ajdkasah	31	6	[	[	X
cord-279112-ajdkasah	31	7	7	7	NUM
cord-279112-ajdkasah	31	8	]	]	X
cord-279112-ajdkasah	31	9	)	)	PUNCT
cord-279112-ajdkasah	31	10	covers	cover	VERB
cord-279112-ajdkasah	31	11	the	the	DET
cord-279112-ajdkasah	31	12	range	range	NOUN
cord-279112-ajdkasah	31	13	december	december	PROPN
cord-279112-ajdkasah	31	14	31	31	NUM
cord-279112-ajdkasah	31	15	,	,	PUNCT
cord-279112-ajdkasah	31	16	2019	2019	NUM
cord-279112-ajdkasah	31	17	-june	-june	NOUN
cord-279112-ajdkasah	31	18	29	29	NUM
cord-279112-ajdkasah	31	19	,	,	PUNCT
cord-279112-ajdkasah	31	20	2020	2020	NUM
cord-279112-ajdkasah	31	21	.	.	PUNCT
cord-279112-ajdkasah	32	1	trial	trial	NOUN
cord-279112-ajdkasah	32	2	and	and	CCONJ
cord-279112-ajdkasah	32	3	error	error	NOUN
cord-279112-ajdkasah	32	4	approach	approach	NOUN
cord-279112-ajdkasah	32	5	we	we	PRON
cord-279112-ajdkasah	32	6	were	be	AUX
cord-279112-ajdkasah	32	7	able	able	ADJ
cord-279112-ajdkasah	32	8	to	to	PART
cord-279112-ajdkasah	32	9	find	find	VERB
cord-279112-ajdkasah	32	10	suitable	suitable	ADJ
cord-279112-ajdkasah	32	11	parameters	parameter	NOUN
cord-279112-ajdkasah	32	12	for	for	ADP
cord-279112-ajdkasah	32	13	solving	solve	VERB
cord-279112-ajdkasah	32	14	the	the	DET
cord-279112-ajdkasah	32	15	full	full	ADJ
cord-279112-ajdkasah	32	16	sir	sir	NOUN
cord-279112-ajdkasah	32	17	model	model	NOUN
cord-279112-ajdkasah	32	18	adjusting	adjust	VERB
cord-279112-ajdkasah	32	19	itself	itself	PRON
cord-279112-ajdkasah	32	20	to	to	ADP
cord-279112-ajdkasah	32	21	the	the	DET
cord-279112-ajdkasah	32	22	covid-19	covid-19	PROPN
cord-279112-ajdkasah	32	23	cases	case	NOUN
cord-279112-ajdkasah	32	24	reported	report	VERB
cord-279112-ajdkasah	32	25	in	in	ADP
cord-279112-ajdkasah	32	26	this	this	DET
cord-279112-ajdkasah	32	27	comment	comment	NOUN
cord-279112-ajdkasah	32	28	.	.	PUNCT
cord-279112-ajdkasah	33	1	to	to	PART
cord-279112-ajdkasah	33	2	have	have	VERB
cord-279112-ajdkasah	33	3	an	an	DET
cord-279112-ajdkasah	33	4	idea	idea	NOUN
cord-279112-ajdkasah	33	5	of	of	ADP
cord-279112-ajdkasah	33	6	how	how	SCONJ
cord-279112-ajdkasah	33	7	well	well	ADV
cord-279112-ajdkasah	33	8	each	each	DET
cord-279112-ajdkasah	33	9	one	one	NUM
cord-279112-ajdkasah	33	10	of	of	ADP
cord-279112-ajdkasah	33	11	the	the	DET
cord-279112-ajdkasah	33	12	fit	fit	NOUN
cord-279112-ajdkasah	33	13	adjust	adjust	VERB
cord-279112-ajdkasah	33	14	itself	itself	PRON
cord-279112-ajdkasah	33	15	to	to	ADP
cord-279112-ajdkasah	33	16	the	the	DET
cord-279112-ajdkasah	33	17	data	datum	NOUN
cord-279112-ajdkasah	33	18	,	,	PUNCT
cord-279112-ajdkasah	33	19	we	we	PRON
cord-279112-ajdkasah	33	20	use	use	VERB
cord-279112-ajdkasah	33	21	the	the	DET
cord-279112-ajdkasah	33	22	root	root	NOUN
cord-279112-ajdkasah	33	23	mean	mean	NOUN
cord-279112-ajdkasah	33	24	square	square	ADJ
cord-279112-ajdkasah	33	25	error	error	NOUN
cord-279112-ajdkasah	33	26	(	(	PUNCT
cord-279112-ajdkasah	33	27	rmse	rmse	PROPN
cord-279112-ajdkasah	33	28	)	)	PUNCT
cord-279112-ajdkasah	33	29	and	and	CCONJ
cord-279112-ajdkasah	33	30	the	the	DET
cord-279112-ajdkasah	33	31	relative	relative	ADJ
cord-279112-ajdkasah	33	32	root	root	NOUN
cord-279112-ajdkasah	33	33	mean	mean	NOUN
cord-279112-ajdkasah	33	34	square	square	ADJ
cord-279112-ajdkasah	33	35	error	error	NOUN
cord-279112-ajdkasah	33	36	(	(	PUNCT
cord-279112-ajdkasah	33	37	rmserel	rmserel	PROPN
cord-279112-ajdkasah	33	38	)	)	PUNCT
cord-279112-ajdkasah	33	39	,	,	PUNCT
cord-279112-ajdkasah	33	40	defined	define	VERB
cord-279112-ajdkasah	33	41	as	as	SCONJ
cord-279112-ajdkasah	33	42	follows	follow	VERB
cord-279112-ajdkasah	33	43	:	:	PUNCT
cord-279112-ajdkasah	33	44	here	here	ADV
cord-279112-ajdkasah	33	45	o	o	INTJ
cord-279112-ajdkasah	34	1	i	i	PRON
cord-279112-ajdkasah	34	2	is	be	AUX
cord-279112-ajdkasah	34	3	the	the	DET
cord-279112-ajdkasah	34	4	i	i	X
cord-279112-ajdkasah	34	5	th	th	X
cord-279112-ajdkasah	34	6	observation	observation	NOUN
cord-279112-ajdkasah	34	7	in	in	ADP
cord-279112-ajdkasah	34	8	the	the	DET
cord-279112-ajdkasah	34	9	considered	consider	VERB
cord-279112-ajdkasah	35	1	o	o	VERB
cord-279112-ajdkasah	35	2	data	data	NOUN
cord-279112-ajdkasah	35	3	set	set	NOUN
cord-279112-ajdkasah	35	4	;	;	PUNCT
cord-279112-ajdkasah	35	5	f	f	X
cord-279112-ajdkasah	35	6	i	i	PRON
cord-279112-ajdkasah	35	7	is	be	AUX
cord-279112-ajdkasah	35	8	the	the	DET
cord-279112-ajdkasah	35	9	corresponding	corresponding	ADJ
cord-279112-ajdkasah	35	10	value	value	NOUN
cord-279112-ajdkasah	35	11	obtained	obtain	VERB
cord-279112-ajdkasah	35	12	by	by	ADP
cord-279112-ajdkasah	35	13	the	the	DET
cord-279112-ajdkasah	35	14	corresponding	corresponding	ADJ
cord-279112-ajdkasah	35	15	fitting	fitting	ADJ
cord-279112-ajdkasah	35	16	method	method	NOUN
cord-279112-ajdkasah	35	17	;	;	PUNCT
cord-279112-ajdkasah	35	18	and	and	CCONJ
cord-279112-ajdkasah	35	19	max(o	max(o	X
cord-279112-ajdkasah	35	20	)	)	PUNCT
cord-279112-ajdkasah	35	21	is	be	AUX
cord-279112-ajdkasah	35	22	the	the	DET
cord-279112-ajdkasah	35	23	maximum	maximum	ADJ
cord-279112-ajdkasah	35	24	value	value	NOUN
cord-279112-ajdkasah	35	25	in	in	ADP
cord-279112-ajdkasah	35	26	the	the	DET
cord-279112-ajdkasah	35	27	considered	consider	VERB
cord-279112-ajdkasah	36	1	o	o	VERB
cord-279112-ajdkasah	36	2	data	data	NOUN
cord-279112-ajdkasah	36	3	set	set	VERB
cord-279112-ajdkasah	36	4	.	.	PUNCT
cord-279112-ajdkasah	37	1	as	as	ADP
cord-279112-ajdkasah	37	2	the	the	DET
cord-279112-ajdkasah	37	3	uncertainty	uncertainty	NOUN
cord-279112-ajdkasah	37	4	in	in	ADP
cord-279112-ajdkasah	37	5	the	the	DET
cord-279112-ajdkasah	37	6	observed	observe	VERB
cord-279112-ajdkasah	37	7	values	value	NOUN
cord-279112-ajdkasah	38	1	o	o	X
cord-279112-ajdkasah	39	1	i	i	PRON
cord-279112-ajdkasah	39	2	is	be	AUX
cord-279112-ajdkasah	39	3	unknown	unknown	ADJ
cord-279112-ajdkasah	39	4	[	[	X
cord-279112-ajdkasah	39	5	9	9	NUM
cord-279112-ajdkasah	39	6	]	]	PUNCT
cord-279112-ajdkasah	39	7	,	,	PUNCT
cord-279112-ajdkasah	39	8	it	it	PRON
cord-279112-ajdkasah	39	9	is	be	AUX
cord-279112-ajdkasah	39	10	unrealistic	unrealistic	ADJ
cord-279112-ajdkasah	39	11	to	to	PART
cord-279112-ajdkasah	39	12	emphasize	emphasize	VERB
cord-279112-ajdkasah	39	13	any	any	DET
cord-279112-ajdkasah	39	14	further	further	ADJ
cord-279112-ajdkasah	39	15	statistical	statistical	ADJ
cord-279112-ajdkasah	39	16	measure	measure	NOUN
cord-279112-ajdkasah	39	17	characterizing	characterize	VERB
cord-279112-ajdkasah	39	18	the	the	DET
cord-279112-ajdkasah	39	19	estimated	estimate	VERB
cord-279112-ajdkasah	39	20	parameters	parameter	NOUN
cord-279112-ajdkasah	39	21	used	use	VERB
cord-279112-ajdkasah	39	22	in	in	ADP
cord-279112-ajdkasah	39	23	the	the	DET
cord-279112-ajdkasah	39	24	analysis	analysis	NOUN
cord-279112-ajdkasah	39	25	for	for	ADP
cord-279112-ajdkasah	39	26	the	the	DET
cord-279112-ajdkasah	39	27	covid-19	covid-19	PROPN
cord-279112-ajdkasah	39	28	pandemic	pandemic	ADJ
cord-279112-ajdkasah	39	29	data	datum	NOUN
cord-279112-ajdkasah	39	30	set	set	NOUN
cord-279112-ajdkasah	39	31	.	.	PUNCT
cord-279112-ajdkasah	40	1	at	at	ADP
cord-279112-ajdkasah	40	2	this	this	DET
cord-279112-ajdkasah	40	3	point	point	NOUN
cord-279112-ajdkasah	40	4	it	it	PRON
cord-279112-ajdkasah	40	5	should	should	AUX
cord-279112-ajdkasah	40	6	be	be	AUX
cord-279112-ajdkasah	40	7	mentioned	mention	VERB
cord-279112-ajdkasah	40	8	that	that	SCONJ
cord-279112-ajdkasah	40	9	the	the	DET
cord-279112-ajdkasah	40	10	numerical	numerical	ADJ
cord-279112-ajdkasah	40	11	computational	computational	ADJ
cord-279112-ajdkasah	40	12	work	work	NOUN
cord-279112-ajdkasah	40	13	in	in	ADP
cord-279112-ajdkasah	40	14	this	this	DET
cord-279112-ajdkasah	40	15	comment	comment	NOUN
cord-279112-ajdkasah	40	16	was	be	AUX
cord-279112-ajdkasah	40	17	carried	carry	VERB
cord-279112-ajdkasah	40	18	out	out	ADP
cord-279112-ajdkasah	40	19	via	via	ADP
cord-279112-ajdkasah	40	20	the	the	DET
cord-279112-ajdkasah	40	21	python	python	NOUN
cord-279112-ajdkasah	40	22	scripting	scripting	NOUN
cord-279112-ajdkasah	40	23	programming	programming	NOUN
cord-279112-ajdkasah	40	24	language	language	NOUN
cord-279112-ajdkasah	40	25	and	and	CCONJ
cord-279112-ajdkasah	40	26	the	the	DET
cord-279112-ajdkasah	40	27	numpy	numpy	ADJ
cord-279112-ajdkasah	40	28	/	/	SYM
cord-279112-ajdkasah	40	29	scipy	scipy	X
cord-279112-ajdkasah	40	30	/	/	SYM
cord-279112-ajdkasah	40	31	matplotlib	matplotlib	PROPN
cord-279112-ajdkasah	40	32	libraries	library	NOUN
cord-279112-ajdkasah	40	33	described	describe	VERB
cord-279112-ajdkasah	40	34	elsewhere	elsewhere	ADV
cord-279112-ajdkasah	40	35	[	[	PUNCT
cord-279112-ajdkasah	40	36	10	10	NUM
cord-279112-ajdkasah	40	37	,	,	PUNCT
cord-279112-ajdkasah	40	38	11	11	NUM
cord-279112-ajdkasah	40	39	]	]	PUNCT
cord-279112-ajdkasah	40	40	.	.	PUNCT
cord-279112-ajdkasah	41	1	the	the	DET
cord-279112-ajdkasah	41	2	data	datum	NOUN
cord-279112-ajdkasah	41	3	for	for	ADP
cord-279112-ajdkasah	41	4	analysis	analysis	NOUN
cord-279112-ajdkasah	41	5	comes	come	VERB
cord-279112-ajdkasah	41	6	from	from	ADP
cord-279112-ajdkasah	41	7	european	european	ADJ
cord-279112-ajdkasah	41	8	centre	centre	PROPN
cord-279112-ajdkasah	41	9	for	for	ADP
cord-279112-ajdkasah	41	10	disease	disease	NOUN
cord-279112-ajdkasah	41	11	prevention	prevention	NOUN
cord-279112-ajdkasah	41	12	and	and	CCONJ
cord-279112-ajdkasah	41	13	control	control	NOUN
cord-279112-ajdkasah	41	14	[	[	PUNCT
cord-279112-ajdkasah	41	15	7	7	NUM
cord-279112-ajdkasah	41	16	]	]	PUNCT
cord-279112-ajdkasah	41	17	,	,	PUNCT
cord-279112-ajdkasah	41	18	and	and	CCONJ
cord-279112-ajdkasah	41	19	the	the	DET
cord-279112-ajdkasah	41	20	period	period	NOUN
cord-279112-ajdkasah	41	21	covered	cover	VERB
cord-279112-ajdkasah	41	22	at	at	ADP
cord-279112-ajdkasah	41	23	the	the	DET
cord-279112-ajdkasah	41	24	moment	moment	NOUN
cord-279112-ajdkasah	41	25	of	of	ADP
cord-279112-ajdkasah	41	26	start	start	NOUN
cord-279112-ajdkasah	41	27	writing	write	VERB
cord-279112-ajdkasah	41	28	this	this	DET
cord-279112-ajdkasah	41	29	note	note	NOUN
cord-279112-ajdkasah	41	30	was	be	AUX
cord-279112-ajdkasah	41	31	(	(	PUNCT
cord-279112-ajdkasah	41	32	for	for	ADP
cord-279112-ajdkasah	41	33	most	most	ADJ
cord-279112-ajdkasah	41	34	countries	country	NOUN
cord-279112-ajdkasah	41	35	)	)	PUNCT
cord-279112-ajdkasah	41	36	december	december	PROPN
cord-279112-ajdkasah	41	37	31	31	NUM
cord-279112-ajdkasah	41	38	,	,	PUNCT
cord-279112-ajdkasah	41	39	2019	2019	NUM
cord-279112-ajdkasah	41	40	-	-	SYM
cord-279112-ajdkasah	41	41	june	june	PROPN
cord-279112-ajdkasah	41	42	29	29	NUM
cord-279112-ajdkasah	41	43	,	,	PUNCT
cord-279112-ajdkasah	41	44	2020	2020	NUM
cord-279112-ajdkasah	41	45	.	.	PUNCT
cord-279112-ajdkasah	42	1	compiled	compile	VERB
cord-279112-ajdkasah	42	2	in	in	ADP
cord-279112-ajdkasah	42	3	table	table	NOUN
cord-279112-ajdkasah	42	4	1	1	NUM
cord-279112-ajdkasah	42	5	are	be	AUX
cord-279112-ajdkasah	42	6	the	the	DET
cord-279112-ajdkasah	42	7	parameters	parameter	NOUN
cord-279112-ajdkasah	42	8	that	that	PRON
cord-279112-ajdkasah	42	9	best	well	ADV
cord-279112-ajdkasah	42	10	fit	fit	VERB
cord-279112-ajdkasah	42	11	the	the	DET
cord-279112-ajdkasah	42	12	data	datum	NOUN
cord-279112-ajdkasah	42	13	(	(	PUNCT
cord-279112-ajdkasah	42	14	from	from	ADP
cord-279112-ajdkasah	42	15	each	each	DET
cord-279112-ajdkasah	42	16	studied	study	VERB
cord-279112-ajdkasah	42	17	country	country	NOUN
cord-279112-ajdkasah	42	18	)	)	PUNCT
cord-279112-ajdkasah	42	19	to	to	ADP
cord-279112-ajdkasah	42	20	the	the	DET
cord-279112-ajdkasah	42	21	function	function	NOUN
cord-279112-ajdkasah	42	22	r(t	r(t	NOUN
cord-279112-ajdkasah	42	23	)	)	PUNCT
cord-279112-ajdkasah	42	24	of	of	ADP
cord-279112-ajdkasah	42	25	equation	equation	NOUN
cord-279112-ajdkasah	42	26	(	(	PUNCT
cord-279112-ajdkasah	42	27	7	7	NUM
cord-279112-ajdkasah	42	28	)	)	PUNCT
cord-279112-ajdkasah	42	29	expressed	express	VERB
cord-279112-ajdkasah	42	30	in	in	ADP
cord-279112-ajdkasah	42	31	the	the	DET
cord-279112-ajdkasah	42	32	form	form	NOUN
cord-279112-ajdkasah	42	33	of	of	ADP
cord-279112-ajdkasah	42	34	equation	equation	NOUN
cord-279112-ajdkasah	42	35	(	(	PUNCT
cord-279112-ajdkasah	42	36	11	11	NUM
cord-279112-ajdkasah	42	37	)	)	PUNCT
cord-279112-ajdkasah	42	38	the	the	DET
cord-279112-ajdkasah	42	39	results	result	NOUN
cord-279112-ajdkasah	42	40	are	be	AUX
cord-279112-ajdkasah	42	41	shown	show	VERB
cord-279112-ajdkasah	42	42	in	in	ADP
cord-279112-ajdkasah	42	43	figure	figure	NOUN
cord-279112-ajdkasah	42	44	1	1	NUM
cord-279112-ajdkasah	42	45	.	.	PUNCT
cord-279112-ajdkasah	43	1	the	the	DET
cord-279112-ajdkasah	43	2	reported	reported	ADJ
cord-279112-ajdkasah	43	3	rmse	rmse	PROPN
cord-279112-ajdkasah	43	4	and	and	CCONJ
cord-279112-ajdkasah	43	5	relative	relative	ADJ
cord-279112-ajdkasah	43	6	rmse	rmse	ADJ
cord-279112-ajdkasah	43	7	values	value	NOUN
cord-279112-ajdkasah	43	8	are	be	AUX
cord-279112-ajdkasah	43	9	indicative	indicative	ADJ
cord-279112-ajdkasah	43	10	that	that	SCONJ
cord-279112-ajdkasah	43	11	a	a	DET
cord-279112-ajdkasah	43	12	reasonable	reasonable	ADJ
cord-279112-ajdkasah	43	13	fit	fit	NOUN
cord-279112-ajdkasah	43	14	has	have	AUX
cord-279112-ajdkasah	43	15	been	be	AUX
cord-279112-ajdkasah	43	16	attained	attain	VERB
cord-279112-ajdkasah	43	17	.	.	PUNCT
cord-279112-ajdkasah	44	1	the	the	DET
cord-279112-ajdkasah	44	2	corresponding	correspond	VERB
cord-279112-ajdkasah	44	3	fit	fit	NOUN
cord-279112-ajdkasah	44	4	is	be	AUX
cord-279112-ajdkasah	44	5	also	also	ADV
cord-279112-ajdkasah	44	6	indicative	indicative	ADJ
cord-279112-ajdkasah	44	7	that	that	SCONJ
cord-279112-ajdkasah	44	8	it	it	PRON
cord-279112-ajdkasah	44	9	is	be	AUX
cord-279112-ajdkasah	44	10	unnecessary	unnecessary	ADJ
cord-279112-ajdkasah	44	11	to	to	PART
cord-279112-ajdkasah	44	12	use	use	VERB
cord-279112-ajdkasah	44	13	the	the	DET
cord-279112-ajdkasah	44	14	logistic	logistic	ADJ
cord-279112-ajdkasah	44	15	function	function	NOUN
cord-279112-ajdkasah	44	16	(	(	PUNCT
cord-279112-ajdkasah	44	17	i.e.	i.e.	X
cord-279112-ajdkasah	44	18	equation	equation	NOUN
cord-279112-ajdkasah	44	19	(	(	PUNCT
cord-279112-ajdkasah	44	20	8)	8)	NUM
cord-279112-ajdkasah	44	21	table	table	NOUN
cord-279112-ajdkasah	44	22	1	1	NUM
cord-279112-ajdkasah	44	23	:	:	PUNCT
cord-279112-ajdkasah	44	24	the	the	DET
cord-279112-ajdkasah	44	25	values	value	NOUN
cord-279112-ajdkasah	44	26	above	above	ADV
cord-279112-ajdkasah	44	27	were	be	AUX
cord-279112-ajdkasah	44	28	used	use	VERB
cord-279112-ajdkasah	44	29	to	to	PART
cord-279112-ajdkasah	44	30	fit	fit	VERB
cord-279112-ajdkasah	44	31	the	the	DET
cord-279112-ajdkasah	44	32	covid-19	covid-19	PROPN
cord-279112-ajdkasah	44	33	confirmed	confirm	VERB
cord-279112-ajdkasah	44	34	cases	case	NOUN
cord-279112-ajdkasah	44	35	data	datum	NOUN
cord-279112-ajdkasah	44	36	for	for	ADP
cord-279112-ajdkasah	44	37	each	each	DET
cord-279112-ajdkasah	44	38	country	country	NOUN
cord-279112-ajdkasah	44	39	shown	show	VERB
cord-279112-ajdkasah	44	40	in	in	ADP
cord-279112-ajdkasah	44	41	figure	figure	NOUN
cord-279112-ajdkasah	44	42	1	1	NUM
cord-279112-ajdkasah	44	43	.	.	PUNCT
cord-279112-ajdkasah	45	1	the	the	DET
cord-279112-ajdkasah	45	2	fit	fit	NOUN
cord-279112-ajdkasah	45	3	corresponds	correspond	VERB
cord-279112-ajdkasah	45	4	to	to	ADP
cord-279112-ajdkasah	45	5	r(t	r(t	NOUN
cord-279112-ajdkasah	45	6	)	)	PUNCT
cord-279112-ajdkasah	45	7	defined	define	VERB
cord-279112-ajdkasah	45	8	via	via	ADP
cord-279112-ajdkasah	45	9	the	the	DET
cord-279112-ajdkasah	45	10	equation	equation	NOUN
cord-279112-ajdkasah	45	11	(	(	PUNCT
cord-279112-ajdkasah	45	12	7	7	NUM
cord-279112-ajdkasah	45	13	)	)	PUNCT
cord-279112-ajdkasah	45	14	written	write	VERB
cord-279112-ajdkasah	45	15	in	in	ADP
cord-279112-ajdkasah	45	16	the	the	DET
cord-279112-ajdkasah	45	17	form	form	NOUN
cord-279112-ajdkasah	45	18	of	of	ADP
cord-279112-ajdkasah	45	19	equation	equation	NOUN
cord-279112-ajdkasah	45	20	(	(	PUNCT
cord-279112-ajdkasah	45	21	11	11	NUM
cord-279112-ajdkasah	45	22	)	)	PUNCT
cord-279112-ajdkasah	45	23	.	.	PUNCT
cord-279112-ajdkasah	46	1	similarly	similarly	ADV
cord-279112-ajdkasah	46	2	,	,	PUNCT
cord-279112-ajdkasah	46	3	in	in	ADP
cord-279112-ajdkasah	46	4	table	table	NOUN
cord-279112-ajdkasah	46	5	2	2	NUM
cord-279112-ajdkasah	46	6	we	we	PRON
cord-279112-ajdkasah	46	7	compiled	compile	VERB
cord-279112-ajdkasah	46	8	values	value	NOUN
cord-279112-ajdkasah	46	9	of	of	ADP
cord-279112-ajdkasah	46	10	the	the	DET
cord-279112-ajdkasah	46	11	quantities	quantity	NOUN
cord-279112-ajdkasah	46	12	required	require	VERB
cord-279112-ajdkasah	46	13	to	to	PART
cord-279112-ajdkasah	46	14	find	find	VERB
cord-279112-ajdkasah	46	15	numerical	numerical	ADJ
cord-279112-ajdkasah	46	16	solution	solution	NOUN
cord-279112-ajdkasah	46	17	of	of	ADP
cord-279112-ajdkasah	46	18	the	the	DET
cord-279112-ajdkasah	46	19	full	full	ADJ
cord-279112-ajdkasah	46	20	sir	sir	NOUN
cord-279112-ajdkasah	46	21	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	46	22	model	model	NOUN
cord-279112-ajdkasah	46	23	defined	define	VERB
cord-279112-ajdkasah	46	24	by	by	ADP
cord-279112-ajdkasah	46	25	equations	equation	NOUN
cord-279112-ajdkasah	46	26	(	(	PUNCT
cord-279112-ajdkasah	46	27	1)-(3	1)-(3	NUM
cord-279112-ajdkasah	46	28	)	)	PUNCT
cord-279112-ajdkasah	46	29	for	for	ADP
cord-279112-ajdkasah	46	30	each	each	DET
cord-279112-ajdkasah	46	31	country	country	NOUN
cord-279112-ajdkasah	46	32	whose	whose	DET
cord-279112-ajdkasah	46	33	results	result	NOUN
cord-279112-ajdkasah	46	34	is	be	AUX
cord-279112-ajdkasah	46	35	given	give	VERB
cord-279112-ajdkasah	46	36	in	in	ADP
cord-279112-ajdkasah	46	37	figure	figure	NOUN
cord-279112-ajdkasah	46	38	1	1	NUM
cord-279112-ajdkasah	46	39	.	.	PUNCT
cord-279112-ajdkasah	47	1	also	also	ADV
cord-279112-ajdkasah	47	2	,	,	PUNCT
cord-279112-ajdkasah	47	3	the	the	DET
cord-279112-ajdkasah	47	4	reported	report	VERB
cord-279112-ajdkasah	47	5	rmse	rmse	PROPN
cord-279112-ajdkasah	47	6	and	and	CCONJ
cord-279112-ajdkasah	47	7	relative	relative	ADJ
cord-279112-ajdkasah	47	8	rmse	rmse	ADJ
cord-279112-ajdkasah	47	9	values	value	NOUN
cord-279112-ajdkasah	47	10	are	be	AUX
cord-279112-ajdkasah	47	11	indicative	indicative	ADJ
cord-279112-ajdkasah	47	12	that	that	SCONJ
cord-279112-ajdkasah	47	13	a	a	DET
cord-279112-ajdkasah	47	14	reasonable	reasonable	ADJ
cord-279112-ajdkasah	47	15	match	match	NOUN
cord-279112-ajdkasah	47	16	has	have	AUX
cord-279112-ajdkasah	47	17	been	be	AUX
cord-279112-ajdkasah	47	18	attained	attain	VERB
cord-279112-ajdkasah	47	19	.	.	PUNCT
cord-279112-ajdkasah	48	1	the	the	DET
cord-279112-ajdkasah	48	2	results	result	NOUN
cord-279112-ajdkasah	48	3	are	be	AUX
cord-279112-ajdkasah	48	4	indicative	indicative	ADJ
cord-279112-ajdkasah	48	5	that	that	SCONJ
cord-279112-ajdkasah	48	6	the	the	DET
cord-279112-ajdkasah	48	7	sir	sir	PROPN
cord-279112-ajdkasah	48	8	model	model	NOUN
cord-279112-ajdkasah	48	9	is	be	AUX
cord-279112-ajdkasah	48	10	a	a	DET
cord-279112-ajdkasah	48	11	good	good	ADJ
cord-279112-ajdkasah	48	12	choice	choice	NOUN
cord-279112-ajdkasah	48	13	to	to	PART
cord-279112-ajdkasah	48	14	get	get	VERB
cord-279112-ajdkasah	48	15	a	a	DET
cord-279112-ajdkasah	48	16	better	well	ADJ
cord-279112-ajdkasah	48	17	understanding	understanding	NOUN
cord-279112-ajdkasah	48	18	of	of	ADP
cord-279112-ajdkasah	48	19	covid-19	covid-19	PROPN
cord-279112-ajdkasah	48	20	data	datum	NOUN
cord-279112-ajdkasah	48	21	.	.	PUNCT
cord-279112-ajdkasah	49	1	country	country	NOUN
cord-279112-ajdkasah	49	2	(	(	PUNCT
cord-279112-ajdkasah	49	3	7	7	NUM
cord-279112-ajdkasah	49	4	)	)	PUNCT
cord-279112-ajdkasah	49	5	of	of	ADP
cord-279112-ajdkasah	49	6	the	the	DET
cord-279112-ajdkasah	49	7	sir	sir	PROPN
cord-279112-ajdkasah	49	8	epidemiological	epidemiological	ADJ
cord-279112-ajdkasah	49	9	model	model	NOUN
cord-279112-ajdkasah	49	10	.	.	PUNCT
cord-279112-ajdkasah	50	1	we	we	PRON
cord-279112-ajdkasah	50	2	were	be	AUX
cord-279112-ajdkasah	50	3	also	also	ADV
cord-279112-ajdkasah	50	4	able	able	ADJ
cord-279112-ajdkasah	50	5	to	to	PART
cord-279112-ajdkasah	50	6	show	show	VERB
cord-279112-ajdkasah	50	7	that	that	SCONJ
cord-279112-ajdkasah	50	8	the	the	DET
cord-279112-ajdkasah	50	9	full	full	ADJ
cord-279112-ajdkasah	50	10	sir	sir	NOUN
cord-279112-ajdkasah	50	11	model	model	NOUN
cord-279112-ajdkasah	50	12	could	could	AUX
cord-279112-ajdkasah	50	13	be	be	AUX
cord-279112-ajdkasah	50	14	solved	solve	VERB
cord-279112-ajdkasah	50	15	numerically	numerically	ADV
cord-279112-ajdkasah	50	16	adjusting	adjust	VERB
cord-279112-ajdkasah	50	17	itself	itself	PRON
cord-279112-ajdkasah	50	18	to	to	ADP
cord-279112-ajdkasah	50	19	the	the	DET
cord-279112-ajdkasah	50	20	analyzed	analyze	VERB
cord-279112-ajdkasah	50	21	data	datum	NOUN
cord-279112-ajdkasah	50	22	.	.	PUNCT
cord-279112-ajdkasah	51	1	since	since	SCONJ
cord-279112-ajdkasah	51	2	other	other	ADJ
cord-279112-ajdkasah	51	3	,	,	PUNCT
cord-279112-ajdkasah	51	4	more	more	ADV
cord-279112-ajdkasah	51	5	complex	complex	ADJ
cord-279112-ajdkasah	51	6	,	,	PUNCT
cord-279112-ajdkasah	51	7	alternative	alternative	ADJ
cord-279112-ajdkasah	51	8	approaches	approach	NOUN
cord-279112-ajdkasah	51	9	to	to	ADP
cord-279112-ajdkasah	51	10	the	the	DET
cord-279112-ajdkasah	51	11	problem	problem	NOUN
cord-279112-ajdkasah	51	12	has	have	AUX
cord-279112-ajdkasah	51	13	been	be	AUX
cord-279112-ajdkasah	51	14	proposed	propose	VERB
cord-279112-ajdkasah	51	15	[	[	X
cord-279112-ajdkasah	51	16	12	12	NUM
cord-279112-ajdkasah	51	17	]	]	PUNCT
cord-279112-ajdkasah	51	18	,	,	PUNCT
cord-279112-ajdkasah	51	19	at	at	ADP
cord-279112-ajdkasah	51	20	this	this	DET
cord-279112-ajdkasah	51	21	point	point	NOUN
cord-279112-ajdkasah	51	22	it	it	PRON
cord-279112-ajdkasah	51	23	is	be	AUX
cord-279112-ajdkasah	51	24	hard	hard	ADJ
cord-279112-ajdkasah	51	25	to	to	PART
cord-279112-ajdkasah	51	26	establish	establish	VERB
cord-279112-ajdkasah	51	27	for	for	ADP
cord-279112-ajdkasah	51	28	sure	sure	ADJ
cord-279112-ajdkasah	51	29	which	which	DET
cord-279112-ajdkasah	51	30	model	model	NOUN
cord-279112-ajdkasah	51	31	better	well	ADV
cord-279112-ajdkasah	51	32	describe	describe	VERB
cord-279112-ajdkasah	51	33	the	the	DET
cord-279112-ajdkasah	51	34	evolution	evolution	NOUN
cord-279112-ajdkasah	51	35	of	of	ADP
cord-279112-ajdkasah	51	36	the	the	DET
cord-279112-ajdkasah	51	37	coronavirus	coronavirus	NOUN
cord-279112-ajdkasah	51	38	covid-19	covid-19	PROPN
cord-279112-ajdkasah	51	39	pandemic	pandemic	ADJ
cord-279112-ajdkasah	51	40	[	[	X
cord-279112-ajdkasah	51	41	9	9	NUM
cord-279112-ajdkasah	51	42	]	]	PUNCT
cord-279112-ajdkasah	51	43	.	.	PUNCT
cord-279112-ajdkasah	52	1	consequently	consequently	ADV
cord-279112-ajdkasah	52	2	,	,	PUNCT
cord-279112-ajdkasah	52	3	given	give	VERB
cord-279112-ajdkasah	52	4	that	that	SCONJ
cord-279112-ajdkasah	52	5	the	the	DET
cord-279112-ajdkasah	52	6	sir	sir	PROPN
cord-279112-ajdkasah	52	7	model	model	NOUN
cord-279112-ajdkasah	52	8	captures	capture	VERB
cord-279112-ajdkasah	52	9	some	some	PRON
cord-279112-ajdkasah	52	10	of	of	ADP
cord-279112-ajdkasah	52	11	the	the	DET
cord-279112-ajdkasah	52	12	covid-19	covid-19	PROPN
cord-279112-ajdkasah	52	13	data	data	NOUN
cord-279112-ajdkasah	52	14	behavior	behavior	NOUN
cord-279112-ajdkasah	52	15	,	,	PUNCT
cord-279112-ajdkasah	52	16	it	it	PRON
cord-279112-ajdkasah	52	17	could	could	AUX
cord-279112-ajdkasah	52	18	provides	provide	VERB
cord-279112-ajdkasah	52	19	guidance	guidance	NOUN
cord-279112-ajdkasah	52	20	to	to	PART
cord-279112-ajdkasah	52	21	get	get	VERB
cord-279112-ajdkasah	52	22	better	well	ADJ
cord-279112-ajdkasah	52	23	insight	insight	NOUN
cord-279112-ajdkasah	52	24	on	on	ADP
cord-279112-ajdkasah	52	25	the	the	DET
cord-279112-ajdkasah	52	26	evolution	evolution	NOUN
cord-279112-ajdkasah	52	27	of	of	ADP
cord-279112-ajdkasah	52	28	the	the	DET
cord-279112-ajdkasah	52	29	pandemic	pandemic	NOUN
cord-279112-ajdkasah	52	30	as	as	SCONJ
cord-279112-ajdkasah	52	31	the	the	DET
cord-279112-ajdkasah	52	32	only	only	ADJ
cord-279112-ajdkasah	52	33	two	two	NUM
cord-279112-ajdkasah	52	34	parameters	parameter	NOUN
cord-279112-ajdkasah	52	35	(	(	PUNCT
cord-279112-ajdkasah	52	36	β	β	NOUN
cord-279112-ajdkasah	52	37	and	and	CCONJ
cord-279112-ajdkasah	52	38	γ	γ	NUM
cord-279112-ajdkasah	52	39	)	)	PUNCT
cord-279112-ajdkasah	52	40	entering	enter	VERB
cord-279112-ajdkasah	52	41	in	in	ADP
cord-279112-ajdkasah	52	42	the	the	DET
cord-279112-ajdkasah	52	43	model	model	NOUN
cord-279112-ajdkasah	52	44	are	be	AUX
cord-279112-ajdkasah	52	45	more	more	ADV
cord-279112-ajdkasah	52	46	or	or	CCONJ
cord-279112-ajdkasah	52	47	less	less	ADV
cord-279112-ajdkasah	52	48	well	well	ADV
cord-279112-ajdkasah	52	49	understood	understand	VERB
cord-279112-ajdkasah	52	50	by	by	ADP
cord-279112-ajdkasah	52	51	epidemiologists	epidemiologist	NOUN
cord-279112-ajdkasah	52	52	and	and	CCONJ
cord-279112-ajdkasah	52	53	can	can	AUX
cord-279112-ajdkasah	52	54	be	be	AUX
cord-279112-ajdkasah	52	55	guessed	guess	VERB
cord-279112-ajdkasah	52	56	from	from	ADP
cord-279112-ajdkasah	52	57	the	the	DET
cord-279112-ajdkasah	52	58	data	datum	NOUN
cord-279112-ajdkasah	52	59	.	.	PUNCT
cord-279112-ajdkasah	53	1	consequently	consequently	ADV
cord-279112-ajdkasah	53	2	,	,	PUNCT
cord-279112-ajdkasah	53	3	before	before	ADP
cord-279112-ajdkasah	53	4	considering	consider	VERB
cord-279112-ajdkasah	53	5	more	more	ADJ
cord-279112-ajdkasah	53	6	complex	complex	ADJ
cord-279112-ajdkasah	53	7	models	model	NOUN
cord-279112-ajdkasah	53	8	(	(	PUNCT
cord-279112-ajdkasah	53	9	requiring	require	VERB
cord-279112-ajdkasah	53	10	much	much	ADV
cord-279112-ajdkasah	53	11	more	more	ADJ
cord-279112-ajdkasah	53	12	parameters	parameter	NOUN
cord-279112-ajdkasah	53	13	than	than	ADP
cord-279112-ajdkasah	53	14	the	the	DET
cord-279112-ajdkasah	53	15	sir	sir	PROPN
cord-279112-ajdkasah	53	16	model	model	NOUN
cord-279112-ajdkasah	53	17	)	)	PUNCT
cord-279112-ajdkasah	53	18	,	,	PUNCT
cord-279112-ajdkasah	53	19	it	it	PRON
cord-279112-ajdkasah	53	20	is	be	AUX
cord-279112-ajdkasah	53	21	clear	clear	ADJ
cord-279112-ajdkasah	53	22	that	that	SCONJ
cord-279112-ajdkasah	53	23	a	a	DET
cord-279112-ajdkasah	53	24	better	well	ADJ
cord-279112-ajdkasah	53	25	qualitatively	qualitatively	ADV
cord-279112-ajdkasah	53	26	understanding	understanding	NOUN
cord-279112-ajdkasah	53	27	of	of	ADP
cord-279112-ajdkasah	53	28	the	the	DET
cord-279112-ajdkasah	53	29	parameters	parameter	NOUN
cord-279112-ajdkasah	53	30	β	β	NOUN
cord-279112-ajdkasah	53	31	and	and	CCONJ
cord-279112-ajdkasah	53	32	γ	γ	NOUN
cord-279112-ajdkasah	53	33	in	in	ADP
cord-279112-ajdkasah	53	34	addition	addition	NOUN
cord-279112-ajdkasah	53	35	to	to	ADP
cord-279112-ajdkasah	53	36	the	the	DET
cord-279112-ajdkasah	53	37	initial	initial	ADJ
cord-279112-ajdkasah	53	38	condition	condition	NOUN
cord-279112-ajdkasah	53	39	i0	i0	PROPN
cord-279112-ajdkasah	53	40	,	,	PUNCT
cord-279112-ajdkasah	53	41	s0	s0	PROPN
cord-279112-ajdkasah	53	42	(	(	PUNCT
cord-279112-ajdkasah	53	43	restricted	restrict	VERB
cord-279112-ajdkasah	53	44	to	to	ADP
cord-279112-ajdkasah	53	45	n	n	PRON
cord-279112-ajdkasah	53	46	=	=	NOUN
cord-279112-ajdkasah	53	47	i0	i0	PROPN
cord-279112-ajdkasah	53	48	+	+	SYM
cord-279112-ajdkasah	53	49	s0	s0	NOUN
cord-279112-ajdkasah	53	50	)	)	PUNCT
cord-279112-ajdkasah	53	51	is	be	AUX
cord-279112-ajdkasah	53	52	necessary	necessary	ADJ
cord-279112-ajdkasah	53	53	to	to	PART
cord-279112-ajdkasah	53	54	give	give	VERB
cord-279112-ajdkasah	53	55	an	an	DET
cord-279112-ajdkasah	53	56	appropriated	appropriated	ADJ
cord-279112-ajdkasah	53	57	quantitative	quantitative	ADJ
cord-279112-ajdkasah	53	58	account	account	NOUN
cord-279112-ajdkasah	53	59	of	of	ADP
cord-279112-ajdkasah	53	60	an	an	DET
cord-279112-ajdkasah	53	61	epidemic	epidemic	NOUN
cord-279112-ajdkasah	53	62	.	.	PUNCT
cord-279112-ajdkasah	54	1	we	we	PRON
cord-279112-ajdkasah	54	2	are	be	AUX
cord-279112-ajdkasah	54	3	confident	confident	ADJ
cord-279112-ajdkasah	54	4	that	that	SCONJ
cord-279112-ajdkasah	54	5	the	the	DET
cord-279112-ajdkasah	54	6	methodology	methodology	NOUN
cord-279112-ajdkasah	54	7	applied	apply	VERB
cord-279112-ajdkasah	54	8	in	in	ADP
cord-279112-ajdkasah	54	9	the	the	DET
cord-279112-ajdkasah	54	10	development	development	NOUN
cord-279112-ajdkasah	54	11	of	of	ADP
cord-279112-ajdkasah	54	12	this	this	DET
cord-279112-ajdkasah	54	13	comment	comment	NOUN
cord-279112-ajdkasah	54	14	could	could	AUX
cord-279112-ajdkasah	54	15	also	also	ADV
cord-279112-ajdkasah	54	16	be	be	AUX
cord-279112-ajdkasah	54	17	extended	extend	VERB
cord-279112-ajdkasah	54	18	to	to	PART
cord-279112-ajdkasah	54	19	analyze	analyze	VERB
cord-279112-ajdkasah	54	20	other	other	ADJ
cord-279112-ajdkasah	54	21	sets	set	NOUN
cord-279112-ajdkasah	54	22	of	of	ADP
cord-279112-ajdkasah	54	23	data	datum	NOUN
cord-279112-ajdkasah	54	24	.	.	PUNCT
cord-279112-ajdkasah	55	1	the	the	DET
cord-279112-ajdkasah	55	2	author	author	NOUN
cord-279112-ajdkasah	55	3	has	have	VERB
cord-279112-ajdkasah	55	4	no	no	DET
cord-279112-ajdkasah	55	5	competing	compete	VERB
cord-279112-ajdkasah	55	6	interest	interest	NOUN
cord-279112-ajdkasah	55	7	to	to	PART
cord-279112-ajdkasah	55	8	declare	declare	VERB
cord-279112-ajdkasah	55	9	.	.	PUNCT
cord-279112-ajdkasah	56	1	estimation	estimation	NOUN
cord-279112-ajdkasah	56	2	of	of	ADP
cord-279112-ajdkasah	56	3	covid-19	covid-19	PROPN
cord-279112-ajdkasah	56	4	dynamics	dynamic	NOUN
cord-279112-ajdkasah	56	5	"	"	PUNCT
cord-279112-ajdkasah	56	6	on	on	ADP
cord-279112-ajdkasah	56	7	a	a	DET
cord-279112-ajdkasah	56	8	back	back	ADJ
cord-279112-ajdkasah	56	9	-	-	PUNCT
cord-279112-ajdkasah	56	10	of	of	ADP
cord-279112-ajdkasah	56	11	-	-	PUNCT
cord-279112-ajdkasah	56	12	envelope	envelope	NOUN
cord-279112-ajdkasah	56	13	"	"	PUNCT
cord-279112-ajdkasah	56	14	:	:	PUNCT
cord-279112-ajdkasah	56	15	does	do	AUX
cord-279112-ajdkasah	56	16	the	the	DET
cord-279112-ajdkasah	56	17	simplest	simple	ADJ
cord-279112-ajdkasah	56	18	sir	sir	NOUN
cord-279112-ajdkasah	56	19	model	model	NOUN
cord-279112-ajdkasah	56	20	provide	provide	VERB
cord-279112-ajdkasah	56	21	quantitative	quantitative	ADJ
cord-279112-ajdkasah	56	22	parameters	parameter	NOUN
cord-279112-ajdkasah	56	23	and	and	CCONJ
cord-279112-ajdkasah	56	24	predictions	prediction	NOUN
cord-279112-ajdkasah	56	25	?	?	PUNCT
cord-279112-ajdkasah	57	1	estimation	estimation	NOUN
cord-279112-ajdkasah	57	2	of	of	ADP
cord-279112-ajdkasah	57	3	covid-19	covid-19	PROPN
cord-279112-ajdkasah	57	4	dynamics	dynamic	NOUN
cord-279112-ajdkasah	57	5	"	"	PUNCT
cord-279112-ajdkasah	57	6	on	on	ADP
cord-279112-ajdkasah	57	7	a	a	DET
cord-279112-ajdkasah	57	8	back	back	ADJ
cord-279112-ajdkasah	57	9	-	-	PUNCT
cord-279112-ajdkasah	57	10	of	of	ADP
cord-279112-ajdkasah	57	11	-	-	PUNCT
cord-279112-ajdkasah	57	12	envelope	envelope	NOUN
cord-279112-ajdkasah	57	13	"	"	PUNCT
cord-279112-ajdkasah	57	14	:	:	PUNCT
cord-279112-ajdkasah	57	15	does	do	AUX
cord-279112-ajdkasah	57	16	the	the	DET
cord-279112-ajdkasah	57	17	simplest	simple	ADJ
cord-279112-ajdkasah	57	18	sir	sir	NOUN
cord-279112-ajdkasah	57	19	model	model	NOUN
cord-279112-ajdkasah	57	20	provide	provide	VERB
cord-279112-ajdkasah	57	21	quantitative	quantitative	ADJ
cord-279112-ajdkasah	57	22	parameters	parameter	NOUN
cord-279112-ajdkasah	57	23	and	and	CCONJ
cord-279112-ajdkasah	57	24	predictions	prediction	NOUN
cord-279112-ajdkasah	57	25	?	?	PUNCT
cord-279112-ajdkasah	58	1	a	a	DET
cord-279112-ajdkasah	58	2	contribution	contribution	NOUN
cord-279112-ajdkasah	58	3	to	to	ADP
cord-279112-ajdkasah	58	4	the	the	DET
cord-279112-ajdkasah	58	5	mathematical	mathematical	ADJ
cord-279112-ajdkasah	58	6	theory	theory	NOUN
cord-279112-ajdkasah	58	7	of	of	ADP
cord-279112-ajdkasah	58	8	epidemics	epidemic	NOUN
cord-279112-ajdkasah	58	9	mathematical	mathematical	ADJ
cord-279112-ajdkasah	58	10	biology	biology	NOUN
cord-279112-ajdkasah	58	11	.	.	PUNCT
cord-279112-ajdkasah	59	1	i.	i.	PROPN
cord-279112-ajdkasah	59	2	an	an	DET
cord-279112-ajdkasah	59	3	introduction	introduction	NOUN
cord-279112-ajdkasah	59	4	modeling	model	VERB
cord-279112-ajdkasah	59	5	infectious	infectious	ADJ
cord-279112-ajdkasah	59	6	diseases	disease	NOUN
cord-279112-ajdkasah	59	7	in	in	ADP
cord-279112-ajdkasah	59	8	humans	human	NOUN
cord-279112-ajdkasah	59	9	and	and	CCONJ
cord-279112-ajdkasah	59	10	animals	animal	NOUN
cord-279112-ajdkasah	59	11	an	an	DET
cord-279112-ajdkasah	59	12	introduction	introduction	NOUN
cord-279112-ajdkasah	59	13	to	to	ADP
cord-279112-ajdkasah	59	14	mathematical	mathematical	ADJ
cord-279112-ajdkasah	59	15	modeling	modeling	NOUN
cord-279112-ajdkasah	59	16	of	of	ADP
cord-279112-ajdkasah	59	17	infectious	infectious	ADJ
cord-279112-ajdkasah	59	18	diseases	disease	NOUN
cord-279112-ajdkasah	59	19	introduction	introduction	NOUN
cord-279112-ajdkasah	59	20	to	to	PART
cord-279112-ajdkasah	59	21	phase	phase	VERB
cord-279112-ajdkasah	59	22	transitions	transition	NOUN
cord-279112-ajdkasah	59	23	and	and	CCONJ
cord-279112-ajdkasah	59	24	critical	critical	ADJ
cord-279112-ajdkasah	59	25	phenomena	phenomenon	NOUN
cord-279112-ajdkasah	59	26	geographic	geographic	ADJ
cord-279112-ajdkasah	59	27	distribution	distribution	NOUN
cord-279112-ajdkasah	59	28	of	of	ADP
cord-279112-ajdkasah	59	29	covid-19	covid-19	PROPN
cord-279112-ajdkasah	59	30	cases	case	NOUN
cord-279112-ajdkasah	59	31	worldwide	worldwide	ADV
cord-279112-ajdkasah	59	32	covid-19	covid-19	NUM
cord-279112-ajdkasah	59	33	pandemic	pandemic	ADJ
cord-279112-ajdkasah	59	34	modeling	modeling	NOUN
cord-279112-ajdkasah	59	35	is	be	AUX
cord-279112-ajdkasah	59	36	fraught	fraught	ADJ
cord-279112-ajdkasah	59	37	with	with	ADP
cord-279112-ajdkasah	59	38	uncertainties	uncertainty	NOUN
cord-279112-ajdkasah	59	39	learning	learn	VERB
cord-279112-ajdkasah	59	40	scipy	scipy	NOUN
cord-279112-ajdkasah	59	41	for	for	ADP
cord-279112-ajdkasah	59	42	numerical	numerical	ADJ
cord-279112-ajdkasah	59	43	and	and	CCONJ
cord-279112-ajdkasah	59	44	scientific	scientific	ADJ
cord-279112-ajdkasah	59	45	computing	compute	VERB
cord-279112-ajdkasah	59	46	numerical	numerical	ADJ
cord-279112-ajdkasah	59	47	and	and	CCONJ
cord-279112-ajdkasah	59	48	scientific	scientific	ADJ
cord-279112-ajdkasah	59	49	computing	computing	NOUN
cord-279112-ajdkasah	59	50	with	with	ADP
cord-279112-ajdkasah	59	51	scipy	scipy	NOUN
cord-279112-ajdkasah	59	52	(	(	PUNCT
cord-279112-ajdkasah	59	53	book	book	NOUN
cord-279112-ajdkasah	59	54	-	-	PUNCT
cord-279112-ajdkasah	59	55	video	video	NOUN
cord-279112-ajdkasah	59	56	)	)	PUNCT
cord-279112-ajdkasah	59	57	analysis	analysis	NOUN
cord-279112-ajdkasah	59	58	and	and	CCONJ
cord-279112-ajdkasah	59	59	forecast	forecast	NOUN
cord-279112-ajdkasah	59	60	of	of	ADP
cord-279112-ajdkasah	59	61	covid-19	covid-19	PROPN
cord-279112-ajdkasah	59	62	spreading	spread	VERB
cord-279112-ajdkasah	59	63	in	in	ADP
cord-279112-ajdkasah	59	64	china	china	PROPN
cord-279112-ajdkasah	59	65	,	,	PUNCT
cord-279112-ajdkasah	59	66	italy	italy	PROPN
cord-279112-ajdkasah	59	67	and	and	CCONJ
cord-279112-ajdkasah	59	68	france	france	PROPN
cord-279112-ajdkasah	59	69	the	the	DET
cord-279112-ajdkasah	59	70	author	author	NOUN
cord-279112-ajdkasah	59	71	is	be	AUX
cord-279112-ajdkasah	59	72	grateful	grateful	ADJ
cord-279112-ajdkasah	59	73	to	to	ADP
cord-279112-ajdkasah	59	74	an	an	DET
cord-279112-ajdkasah	59	75	anonymous	anonymous	ADJ
cord-279112-ajdkasah	59	76	referee	referee	NOUN
cord-279112-ajdkasah	59	77	who	who	PRON
cord-279112-ajdkasah	59	78	kindly	kindly	ADV
cord-279112-ajdkasah	59	79	provided	provide	VERB
cord-279112-ajdkasah	59	80	useful	useful	ADJ
cord-279112-ajdkasah	59	81	comments	comment	NOUN
cord-279112-ajdkasah	59	82	to	to	ADP
cord-279112-ajdkasah	59	83	improving	improve	VERB
cord-279112-ajdkasah	59	84	this	this	DET
cord-279112-ajdkasah	59	85	article	article	NOUN
cord-279112-ajdkasah	59	86	.	.	PUNCT
