id	sid	tid	token	lemma	pos
ejpam-6149	1	1	european	european	PROPN
ejpam-6149	1	2	journal	journal	PROPN
ejpam-6149	1	3	of	of	ADP
ejpam-6149	1	4	pure	pure	ADJ
ejpam-6149	1	5	and	and	CCONJ
ejpam-6149	1	6	applied	applied	ADJ
ejpam-6149	1	7	mathematics	mathematic	NOUN
ejpam-6149	1	8	2025	2025	NUM
ejpam-6149	1	9	,	,	PUNCT
ejpam-6149	1	10	vol	vol	NOUN
ejpam-6149	1	11	.	.	PROPN
ejpam-6149	1	12	18	18	NUM
ejpam-6149	1	13	,	,	PUNCT
ejpam-6149	1	14	issue	issue	NOUN
ejpam-6149	1	15	3	3	NUM
ejpam-6149	1	16	,	,	PUNCT
ejpam-6149	1	17	article	article	NOUN
ejpam-6149	1	18	number	number	NOUN
ejpam-6149	1	19	6149	6149	NUM
ejpam-6149	1	20	issn	issn	PROPN
ejpam-6149	1	21	1307	1307	NUM
ejpam-6149	1	22	-	-	SYM
ejpam-6149	1	23	5543	5543	NUM
ejpam-6149	1	24	–	–	PUNCT
ejpam-6149	1	25	ejpam.com	ejpam.com	X
ejpam-6149	1	26	published	publish	VERB
ejpam-6149	1	27	by	by	ADP
ejpam-6149	1	28	new	new	PROPN
ejpam-6149	1	29	york	york	PROPN
ejpam-6149	1	30	business	business	PROPN
ejpam-6149	1	31	global	global	PROPN
ejpam-6149	1	32	a	a	DET
ejpam-6149	1	33	mathematical	mathematical	ADJ
ejpam-6149	1	34	model	model	NOUN
ejpam-6149	1	35	for	for	ADP
ejpam-6149	1	36	covid-19	covid-19	PROPN
ejpam-6149	1	37	and	and	CCONJ
ejpam-6149	1	38	tuberculosis	tuberculosis	PRON
ejpam-6149	1	39	co	co	NOUN
ejpam-6149	1	40	-	-	NOUN
ejpam-6149	1	41	infection	infection	NOUN
ejpam-6149	1	42	with	with	ADP
ejpam-6149	1	43	the	the	DET
ejpam-6149	1	44	effect	effect	NOUN
ejpam-6149	1	45	of	of	ADP
ejpam-6149	1	46	quarantine	quarantine	NOUN
ejpam-6149	1	47	measure	measure	NOUN
ejpam-6149	1	48	julito	julito	PROPN
ejpam-6149	1	49	a.	a.	PROPN
ejpam-6149	1	50	puebla	puebla	PROPN
ejpam-6149	1	51	jr1,∗	jr1,∗	PROPN
ejpam-6149	1	52	,	,	PUNCT
ejpam-6149	1	53	jay	jay	PROPN
ejpam-6149	1	54	michael	michael	PROPN
ejpam-6149	1	55	r.	r.	PROPN
ejpam-6149	1	56	macalalag2	macalalag2	PROPN
ejpam-6149	1	57	,	,	PUNCT
ejpam-6149	1	58	kaye	kaye	PROPN
ejpam-6149	1	59	y.	y.	PROPN
ejpam-6149	1	60	pajaron2	pajaron2	PROPN
ejpam-6149	1	61	1	1	NUM
ejpam-6149	1	62	department	department	NOUN
ejpam-6149	1	63	of	of	ADP
ejpam-6149	1	64	general	general	ADJ
ejpam-6149	1	65	education	education	NOUN
ejpam-6149	1	66	,	,	PUNCT
ejpam-6149	1	67	caraga	caraga	PROPN
ejpam-6149	1	68	state	state	PROPN
ejpam-6149	1	69	university	university	PROPN
ejpam-6149	1	70	cabadbaran	cabadbaran	PROPN
ejpam-6149	1	71	campus	campus	NOUN
ejpam-6149	1	72	,	,	PUNCT
ejpam-6149	1	73	8605	8605	NUM
ejpam-6149	1	74	cabadbaran	cabadbaran	VERB
ejpam-6149	1	75	city	city	NOUN
ejpam-6149	1	76	,	,	PUNCT
ejpam-6149	1	77	philippines	philippines	PROPN
ejpam-6149	1	78	2	2	NUM
ejpam-6149	1	79	department	department	NOUN
ejpam-6149	1	80	of	of	ADP
ejpam-6149	1	81	mathematics	mathematic	NOUN
ejpam-6149	1	82	,	,	PUNCT
ejpam-6149	1	83	caraga	caraga	PROPN
ejpam-6149	1	84	state	state	PROPN
ejpam-6149	1	85	university	university	PROPN
ejpam-6149	1	86	,	,	PUNCT
ejpam-6149	1	87	8600	8600	NUM
ejpam-6149	1	88	butuan	butuan	PROPN
ejpam-6149	1	89	city	city	NOUN
ejpam-6149	1	90	,	,	PUNCT
ejpam-6149	1	91	philippines	philippine	NOUN
ejpam-6149	1	92	abstract	abstract	ADJ
ejpam-6149	1	93	.	.	PUNCT
ejpam-6149	2	1	in	in	ADP
ejpam-6149	2	2	this	this	DET
ejpam-6149	2	3	paper	paper	NOUN
ejpam-6149	2	4	,	,	PUNCT
ejpam-6149	2	5	a	a	DET
ejpam-6149	2	6	deterministic	deterministic	ADJ
ejpam-6149	2	7	mathematical	mathematical	ADJ
ejpam-6149	2	8	model	model	NOUN
ejpam-6149	2	9	for	for	ADP
ejpam-6149	2	10	the	the	DET
ejpam-6149	2	11	transmission	transmission	NOUN
ejpam-6149	2	12	dynamics	dynamic	NOUN
ejpam-6149	2	13	of	of	ADP
ejpam-6149	2	14	covid-19	covid-19	PROPN
ejpam-6149	2	15	and	and	CCONJ
ejpam-6149	2	16	tuberculosis	tuberculosis	PRON
ejpam-6149	2	17	co	co	NOUN
ejpam-6149	2	18	-	-	NOUN
ejpam-6149	2	19	infection	infection	NOUN
ejpam-6149	2	20	,	,	PUNCT
ejpam-6149	2	21	using	use	VERB
ejpam-6149	2	22	a	a	DET
ejpam-6149	2	23	system	system	NOUN
ejpam-6149	2	24	of	of	ADP
ejpam-6149	2	25	nonlinear	nonlinear	ADJ
ejpam-6149	2	26	ordinary	ordinary	ADJ
ejpam-6149	2	27	differential	differential	ADJ
ejpam-6149	2	28	equations	equation	NOUN
ejpam-6149	2	29	,	,	PUNCT
ejpam-6149	2	30	is	be	AUX
ejpam-6149	2	31	proposed	propose	VERB
ejpam-6149	2	32	and	and	CCONJ
ejpam-6149	2	33	analyzed	analyze	VERB
ejpam-6149	2	34	.	.	PUNCT
ejpam-6149	3	1	we	we	PRON
ejpam-6149	3	2	begin	begin	VERB
ejpam-6149	3	3	our	our	PRON
ejpam-6149	3	4	mathematical	mathematical	ADJ
ejpam-6149	3	5	analysis	analysis	NOUN
ejpam-6149	3	6	of	of	ADP
ejpam-6149	3	7	the	the	DET
ejpam-6149	3	8	covid-19	covid-19	PROPN
ejpam-6149	3	9	and	and	CCONJ
ejpam-6149	3	10	tuberculosis	tuberculosis	PRON
ejpam-6149	3	11	sub	sub	NOUN
ejpam-6149	3	12	-	-	NOUN
ejpam-6149	3	13	models	model	NOUN
ejpam-6149	3	14	by	by	ADP
ejpam-6149	3	15	establishing	establish	VERB
ejpam-6149	3	16	the	the	DET
ejpam-6149	3	17	existence	existence	NOUN
ejpam-6149	3	18	,	,	PUNCT
ejpam-6149	3	19	uniqueness	uniqueness	NOUN
ejpam-6149	3	20	,	,	PUNCT
ejpam-6149	3	21	non	non	ADJ
ejpam-6149	3	22	-	-	NOUN
ejpam-6149	3	23	negativity	negativity	ADJ
ejpam-6149	3	24	,	,	PUNCT
ejpam-6149	3	25	and	and	CCONJ
ejpam-6149	3	26	boundedness	boundedness	NOUN
ejpam-6149	3	27	of	of	ADP
ejpam-6149	3	28	the	the	DET
ejpam-6149	3	29	solutions	solution	NOUN
ejpam-6149	3	30	.	.	PUNCT
ejpam-6149	4	1	subsequently	subsequently	ADV
ejpam-6149	4	2	,	,	PUNCT
ejpam-6149	4	3	we	we	PRON
ejpam-6149	4	4	determine	determine	VERB
ejpam-6149	4	5	the	the	DET
ejpam-6149	4	6	equilibrium	equilibrium	NOUN
ejpam-6149	4	7	points	point	NOUN
ejpam-6149	4	8	and	and	CCONJ
ejpam-6149	4	9	the	the	DET
ejpam-6149	4	10	reproduction	reproduction	NOUN
ejpam-6149	4	11	numbers	number	NOUN
ejpam-6149	4	12	of	of	ADP
ejpam-6149	4	13	the	the	DET
ejpam-6149	4	14	sub	sub	NOUN
ejpam-6149	4	15	-	-	NOUN
ejpam-6149	4	16	models	model	NOUN
ejpam-6149	4	17	as	as	ADV
ejpam-6149	4	18	well	well	ADV
ejpam-6149	4	19	as	as	ADP
ejpam-6149	4	20	the	the	DET
ejpam-6149	4	21	co	co	NOUN
ejpam-6149	4	22	-	-	NOUN
ejpam-6149	4	23	infection	infection	NOUN
ejpam-6149	4	24	model	model	NOUN
ejpam-6149	4	25	.	.	PUNCT
ejpam-6149	5	1	we	we	PRON
ejpam-6149	5	2	then	then	ADV
ejpam-6149	5	3	proceed	proceed	VERB
ejpam-6149	5	4	to	to	PART
ejpam-6149	5	5	prove	prove	VERB
ejpam-6149	5	6	that	that	SCONJ
ejpam-6149	5	7	the	the	DET
ejpam-6149	5	8	disease	disease	NOUN
ejpam-6149	5	9	-	-	PUNCT
ejpam-6149	5	10	free	free	ADJ
ejpam-6149	5	11	equilibrium	equilibrium	NOUN
ejpam-6149	5	12	point	point	NOUN
ejpam-6149	5	13	of	of	ADP
ejpam-6149	5	14	each	each	DET
ejpam-6149	5	15	sub	sub	NOUN
ejpam-6149	5	16	-	-	NOUN
ejpam-6149	5	17	model	model	NOUN
ejpam-6149	5	18	and	and	CCONJ
ejpam-6149	5	19	the	the	DET
ejpam-6149	5	20	co	co	NOUN
ejpam-6149	5	21	-	-	ADJ
ejpam-6149	5	22	infection	infection	ADJ
ejpam-6149	5	23	model	model	NOUN
ejpam-6149	5	24	is	be	AUX
ejpam-6149	5	25	locally	locally	ADV
ejpam-6149	5	26	and	and	CCONJ
ejpam-6149	5	27	globally	globally	ADV
ejpam-6149	5	28	asymptotically	asymptotically	ADV
ejpam-6149	5	29	stable	stable	ADJ
ejpam-6149	5	30	if	if	SCONJ
ejpam-6149	5	31	its	its	PRON
ejpam-6149	5	32	corresponding	correspond	VERB
ejpam-6149	5	33	reproduction	reproduction	NOUN
ejpam-6149	5	34	number	number	NOUN
ejpam-6149	5	35	is	be	AUX
ejpam-6149	5	36	less	less	ADJ
ejpam-6149	5	37	than	than	ADP
ejpam-6149	5	38	1	1	NUM
ejpam-6149	5	39	and	and	CCONJ
ejpam-6149	5	40	unstable	unstable	ADJ
ejpam-6149	5	41	otherwise	otherwise	ADV
ejpam-6149	5	42	.	.	PUNCT
ejpam-6149	6	1	moreover	moreover	ADV
ejpam-6149	6	2	,	,	PUNCT
ejpam-6149	6	3	if	if	SCONJ
ejpam-6149	6	4	the	the	DET
ejpam-6149	6	5	reproduction	reproduction	NOUN
ejpam-6149	6	6	number	number	NOUN
ejpam-6149	6	7	is	be	AUX
ejpam-6149	6	8	greater	great	ADJ
ejpam-6149	6	9	than	than	ADP
ejpam-6149	6	10	1	1	NUM
ejpam-6149	6	11	,	,	PUNCT
ejpam-6149	6	12	then	then	ADV
ejpam-6149	6	13	the	the	DET
ejpam-6149	6	14	corresponding	corresponding	ADJ
ejpam-6149	6	15	sub	sub	NOUN
ejpam-6149	6	16	-	-	NOUN
ejpam-6149	6	17	model	model	NOUN
ejpam-6149	6	18	is	be	AUX
ejpam-6149	6	19	locally	locally	ADV
ejpam-6149	6	20	asymptotically	asymptotically	ADV
ejpam-6149	6	21	stable	stable	ADJ
ejpam-6149	6	22	at	at	ADP
ejpam-6149	6	23	the	the	DET
ejpam-6149	6	24	endemic	endemic	ADJ
ejpam-6149	6	25	equilibrium	equilibrium	NOUN
ejpam-6149	6	26	point	point	NOUN
ejpam-6149	6	27	.	.	PUNCT
ejpam-6149	7	1	numerical	numerical	ADJ
ejpam-6149	7	2	simulations	simulation	NOUN
ejpam-6149	7	3	are	be	AUX
ejpam-6149	7	4	conducted	conduct	VERB
ejpam-6149	7	5	to	to	PART
ejpam-6149	7	6	validate	validate	VERB
ejpam-6149	7	7	the	the	DET
ejpam-6149	7	8	theoretical	theoretical	ADJ
ejpam-6149	7	9	findings	finding	NOUN
ejpam-6149	7	10	.	.	PUNCT
ejpam-6149	8	1	this	this	DET
ejpam-6149	8	2	study	study	NOUN
ejpam-6149	8	3	demonstrates	demonstrate	VERB
ejpam-6149	8	4	that	that	SCONJ
ejpam-6149	8	5	effective	effective	ADJ
ejpam-6149	8	6	quarantine	quarantine	NOUN
ejpam-6149	8	7	measures	measure	NOUN
ejpam-6149	8	8	are	be	AUX
ejpam-6149	8	9	crucial	crucial	ADJ
ejpam-6149	8	10	for	for	ADP
ejpam-6149	8	11	controlling	control	VERB
ejpam-6149	8	12	and	and	CCONJ
ejpam-6149	8	13	potentially	potentially	ADV
ejpam-6149	8	14	eradicating	eradicate	VERB
ejpam-6149	8	15	covid-19	covid-19	PROPN
ejpam-6149	8	16	and	and	CCONJ
ejpam-6149	8	17	tuberculosis	tuberculosis	PRON
ejpam-6149	8	18	co	co	NOUN
ejpam-6149	8	19	-	-	NOUN
ejpam-6149	8	20	infections	infection	NOUN
ejpam-6149	8	21	.	.	PUNCT
ejpam-6149	9	1	2020	2020	NUM
ejpam-6149	9	2	mathematics	mathematic	NOUN
ejpam-6149	9	3	subject	subject	NOUN
ejpam-6149	9	4	classifications	classification	NOUN
ejpam-6149	9	5	:	:	PUNCT
ejpam-6149	9	6	92d30	92d30	NUM
ejpam-6149	9	7	,	,	PUNCT
ejpam-6149	9	8	34d23	34d23	NUM
ejpam-6149	9	9	,	,	PUNCT
ejpam-6149	9	10	92c60	92c60	NUM
ejpam-6149	9	11	,	,	PUNCT
ejpam-6149	9	12	34c60	34c60	NUM
ejpam-6149	9	13	,	,	PUNCT
ejpam-6149	9	14	37n25	37n25	NUM
ejpam-6149	9	15	key	key	ADJ
ejpam-6149	9	16	words	word	NOUN
ejpam-6149	9	17	and	and	CCONJ
ejpam-6149	9	18	phrases	phrase	NOUN
ejpam-6149	9	19	:	:	PUNCT
ejpam-6149	9	20	covid-19	covid-19	PROPN
ejpam-6149	9	21	,	,	PUNCT
ejpam-6149	9	22	tuberculosis	tuberculosis	NOUN
ejpam-6149	9	23	,	,	PUNCT
ejpam-6149	9	24	coinfection	coinfection	NOUN
ejpam-6149	9	25	,	,	PUNCT
ejpam-6149	9	26	stability	stability	NOUN
ejpam-6149	9	27	analysis	analysis	NOUN
ejpam-6149	9	28	,	,	PUNCT
ejpam-6149	9	29	reproduction	reproduction	NOUN
ejpam-6149	9	30	number	number	NOUN
ejpam-6149	9	31	1	1	NUM
ejpam-6149	9	32	.	.	PUNCT
ejpam-6149	10	1	introduction	introduction	NOUN
ejpam-6149	10	2	infectious	infectious	ADJ
ejpam-6149	10	3	diseases	disease	NOUN
ejpam-6149	10	4	,	,	PUNCT
ejpam-6149	10	5	caused	cause	VERB
ejpam-6149	10	6	by	by	ADP
ejpam-6149	10	7	pathogenic	pathogenic	ADJ
ejpam-6149	10	8	microorganisms	microorganism	NOUN
ejpam-6149	10	9	,	,	PUNCT
ejpam-6149	10	10	invade	invade	VERB
ejpam-6149	10	11	the	the	DET
ejpam-6149	10	12	body	body	NOUN
ejpam-6149	10	13	and	and	CCONJ
ejpam-6149	10	14	disrupt	disrupt	VERB
ejpam-6149	10	15	normal	normal	ADJ
ejpam-6149	10	16	functions	function	NOUN
ejpam-6149	10	17	.	.	PUNCT
ejpam-6149	11	1	they	they	PRON
ejpam-6149	11	2	can	can	AUX
ejpam-6149	11	3	be	be	AUX
ejpam-6149	11	4	transmitted	transmit	VERB
ejpam-6149	11	5	through	through	ADP
ejpam-6149	11	6	direct	direct	ADJ
ejpam-6149	11	7	contact	contact	NOUN
ejpam-6149	11	8	,	,	PUNCT
ejpam-6149	11	9	contaminated	contaminate	VERB
ejpam-6149	11	10	surfaces	surface	NOUN
ejpam-6149	11	11	,	,	PUNCT
ejpam-6149	11	12	or	or	CCONJ
ejpam-6149	11	13	vectors	vector	NOUN
ejpam-6149	11	14	.	.	PUNCT
ejpam-6149	12	1	these	these	DET
ejpam-6149	12	2	diseases	disease	NOUN
ejpam-6149	12	3	range	range	VERB
ejpam-6149	12	4	from	from	ADP
ejpam-6149	12	5	mild	mild	ADJ
ejpam-6149	12	6	to	to	ADP
ejpam-6149	12	7	life	life	NOUN
ejpam-6149	12	8	-	-	PUNCT
ejpam-6149	12	9	threatening	threaten	VERB
ejpam-6149	12	10	,	,	PUNCT
ejpam-6149	12	11	affecting	affect	VERB
ejpam-6149	12	12	various	various	ADJ
ejpam-6149	12	13	organs	organ	NOUN
ejpam-6149	12	14	and	and	CCONJ
ejpam-6149	12	15	systems	system	NOUN
ejpam-6149	12	16	.	.	PUNCT
ejpam-6149	13	1	throughout	throughout	ADP
ejpam-6149	13	2	history	history	NOUN
ejpam-6149	13	3	,	,	PUNCT
ejpam-6149	13	4	they	they	PRON
ejpam-6149	13	5	have	have	AUX
ejpam-6149	13	6	shaped	shape	VERB
ejpam-6149	13	7	societies	society	NOUN
ejpam-6149	13	8	,	,	PUNCT
ejpam-6149	13	9	caused	cause	VERB
ejpam-6149	13	10	epidemics	epidemic	NOUN
ejpam-6149	13	11	,	,	PUNCT
ejpam-6149	13	12	and	and	CCONJ
ejpam-6149	13	13	influenced	influence	VERB
ejpam-6149	13	14	human	human	ADJ
ejpam-6149	13	15	history	history	NOUN
ejpam-6149	13	16	.	.	PUNCT
ejpam-6149	14	1	coronavirus	coronavirus	NOUN
ejpam-6149	14	2	disease	disease	NOUN
ejpam-6149	14	3	(	(	PUNCT
ejpam-6149	14	4	covid-19	covid-19	PROPN
ejpam-6149	14	5	)	)	PUNCT
ejpam-6149	14	6	and	and	CCONJ
ejpam-6149	14	7	tuberculosis	tuberculosis	NOUN
ejpam-6149	14	8	(	(	PUNCT
ejpam-6149	14	9	tb	tb	NOUN
ejpam-6149	14	10	)	)	PUNCT
ejpam-6149	14	11	exemplify	exemplify	VERB
ejpam-6149	14	12	the	the	DET
ejpam-6149	14	13	immense	immense	ADJ
ejpam-6149	14	14	suffering	suffering	NOUN
ejpam-6149	14	15	,	,	PUNCT
ejpam-6149	14	16	loss	loss	NOUN
ejpam-6149	14	17	of	of	ADP
ejpam-6149	14	18	life	life	NOUN
ejpam-6149	14	19	,	,	PUNCT
ejpam-6149	14	20	and	and	CCONJ
ejpam-6149	14	21	social	social	ADJ
ejpam-6149	14	22	disruptions	disruption	NOUN
ejpam-6149	14	23	caused	cause	VERB
ejpam-6149	14	24	by	by	ADP
ejpam-6149	14	25	infectious	infectious	ADJ
ejpam-6149	14	26	diseases	disease	NOUN
ejpam-6149	14	27	that	that	PRON
ejpam-6149	14	28	persist	persist	VERB
ejpam-6149	14	29	worldwide	worldwide	ADV
ejpam-6149	15	1	[	[	X
ejpam-6149	15	2	45	45	NUM
ejpam-6149	15	3	]	]	PUNCT
ejpam-6149	15	4	.	.	PUNCT
ejpam-6149	16	1	∗corresponding	∗corresponde	VERB
ejpam-6149	16	2	author	author	NOUN
ejpam-6149	16	3	.	.	PUNCT
ejpam-6149	17	1	doi	doi	NOUN
ejpam-6149	17	2	:	:	PUNCT
ejpam-6149	17	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6149	https://doi.org/10.29020/nybg.ejpam.v18i3.6149	DET
ejpam-6149	17	4	email	email	NOUN
ejpam-6149	17	5	addresses	address	VERB
ejpam-6149	17	6	:	:	PUNCT
ejpam-6149	18	1	julito.puebla@csucc.edu.ph	julito.puebla@csucc.edu.ph	PROPN
ejpam-6149	18	2	(	(	PUNCT
ejpam-6149	18	3	j.	j.	PROPN
ejpam-6149	18	4	puebla	puebla	PROPN
ejpam-6149	18	5	)	)	PUNCT
ejpam-6149	18	6	,	,	PUNCT
ejpam-6149	18	7	jrmacalalag@carsu.edu.ph	jrmacalalag@carsu.edu.ph	PROPN
ejpam-6149	18	8	(	(	PUNCT
ejpam-6149	18	9	jm	jm	PROPN
ejpam-6149	18	10	.	.	PROPN
ejpam-6149	18	11	macalalag	macalalag	PROPN
ejpam-6149	18	12	)	)	PUNCT
ejpam-6149	18	13	,	,	PUNCT
ejpam-6149	18	14	kayepajaron@gmail.com	kayepajaron@gmail.com	X
ejpam-6149	18	15	(	(	PUNCT
ejpam-6149	18	16	k.	k.	PROPN
ejpam-6149	18	17	pajaron	pajaron	PROPN
ejpam-6149	18	18	)	)	PUNCT
ejpam-6149	18	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6149	19	1	1	1	NUM
ejpam-6149	19	2	copyright	copyright	NOUN
ejpam-6149	19	3	:	:	PUNCT
ejpam-6149	19	4	©	©	PROPN
ejpam-6149	19	5	2025	2025	NUM
ejpam-6149	19	6	the	the	DET
ejpam-6149	19	7	author(s	author(s	NOUN
ejpam-6149	19	8	)	)	PUNCT
ejpam-6149	19	9	.	.	PUNCT
ejpam-6149	20	1	(	(	PUNCT
ejpam-6149	20	2	cc	cc	NOUN
ejpam-6149	20	3	by	by	ADP
ejpam-6149	20	4	-	-	PUNCT
ejpam-6149	20	5	nc	nc	PROPN
ejpam-6149	20	6	4.0	4.0	NUM
ejpam-6149	20	7	)	)	PUNCT
ejpam-6149	20	8	j.	j.	PROPN
ejpam-6149	20	9	puebla	puebla	PROPN
ejpam-6149	20	10	,	,	PUNCT
ejpam-6149	20	11	jm	jm	PROPN
ejpam-6149	20	12	.	.	PROPN
ejpam-6149	20	13	macalalag	macalalag	PROPN
ejpam-6149	20	14	,	,	PUNCT
ejpam-6149	20	15	k.	k.	PROPN
ejpam-6149	20	16	pajaron	pajaron	PROPN
ejpam-6149	20	17	/	/	SYM
ejpam-6149	20	18	eur	eur	PROPN
ejpam-6149	20	19	.	.	PUNCT
ejpam-6149	21	1	j.	j.	PROPN
ejpam-6149	21	2	pure	pure	PROPN
ejpam-6149	21	3	appl	appl	PROPN
ejpam-6149	21	4	.	.	PROPN
ejpam-6149	21	5	math	math	PROPN
ejpam-6149	21	6	,	,	PUNCT
ejpam-6149	21	7	18	18	NUM
ejpam-6149	21	8	(	(	PUNCT
ejpam-6149	21	9	3	3	NUM
ejpam-6149	21	10	)	)	PUNCT
ejpam-6149	21	11	(	(	PUNCT
ejpam-6149	21	12	2025	2025	NUM
ejpam-6149	21	13	)	)	PUNCT
ejpam-6149	21	14	,	,	PUNCT
ejpam-6149	21	15	6149	6149	NUM
ejpam-6149	21	16	2	2	NUM
ejpam-6149	21	17	of	of	ADP
ejpam-6149	21	18	28	28	NUM
ejpam-6149	21	19	the	the	DET
ejpam-6149	21	20	covid-19	covid-19	PROPN
ejpam-6149	21	21	pandemic	pandemic	NOUN
ejpam-6149	21	22	is	be	AUX
ejpam-6149	21	23	a	a	DET
ejpam-6149	21	24	global	global	ADJ
ejpam-6149	21	25	health	health	NOUN
ejpam-6149	21	26	crisis	crisis	NOUN
ejpam-6149	21	27	caused	cause	VERB
ejpam-6149	21	28	by	by	ADP
ejpam-6149	21	29	the	the	DET
ejpam-6149	21	30	severe	severe	ADJ
ejpam-6149	21	31	acute	acute	ADJ
ejpam-6149	21	32	respiratory	respiratory	ADJ
ejpam-6149	21	33	syndrome	syndrome	NOUN
ejpam-6149	21	34	coronavirus	coronavirus	NOUN
ejpam-6149	21	35	2	2	NUM
ejpam-6149	21	36	(	(	PUNCT
ejpam-6149	21	37	sars	sar	NOUN
ejpam-6149	21	38	-	-	PUNCT
ejpam-6149	21	39	cov-2	cov-2	NOUN
ejpam-6149	21	40	)	)	PUNCT
ejpam-6149	22	1	[	[	X
ejpam-6149	22	2	20	20	NUM
ejpam-6149	22	3	]	]	PUNCT
ejpam-6149	22	4	.	.	PUNCT
ejpam-6149	23	1	it	it	PRON
ejpam-6149	23	2	was	be	AUX
ejpam-6149	23	3	first	first	ADV
ejpam-6149	23	4	identified	identify	VERB
ejpam-6149	23	5	in	in	ADP
ejpam-6149	23	6	december	december	PROPN
ejpam-6149	23	7	2019	2019	NUM
ejpam-6149	23	8	in	in	ADP
ejpam-6149	23	9	wuhan	wuhan	PROPN
ejpam-6149	23	10	,	,	PUNCT
ejpam-6149	23	11	hubei	hubei	PROPN
ejpam-6149	23	12	province	province	PROPN
ejpam-6149	23	13	,	,	PUNCT
ejpam-6149	23	14	china	china	PROPN
ejpam-6149	23	15	.	.	PUNCT
ejpam-6149	24	1	on	on	ADP
ejpam-6149	24	2	march	march	PROPN
ejpam-6149	24	3	11	11	NUM
ejpam-6149	24	4	,	,	PUNCT
ejpam-6149	24	5	2020	2020	NUM
ejpam-6149	24	6	,	,	PUNCT
ejpam-6149	24	7	the	the	DET
ejpam-6149	24	8	virus	virus	NOUN
ejpam-6149	24	9	quickly	quickly	ADV
ejpam-6149	24	10	spread	spread	VERB
ejpam-6149	24	11	to	to	ADP
ejpam-6149	24	12	other	other	ADJ
ejpam-6149	24	13	parts	part	NOUN
ejpam-6149	24	14	of	of	ADP
ejpam-6149	24	15	china	china	PROPN
ejpam-6149	24	16	and	and	CCONJ
ejpam-6149	24	17	subsequently	subsequently	ADV
ejpam-6149	24	18	to	to	ADP
ejpam-6149	24	19	numerous	numerous	ADJ
ejpam-6149	24	20	countries	country	NOUN
ejpam-6149	24	21	around	around	ADP
ejpam-6149	24	22	the	the	DET
ejpam-6149	24	23	world	world	NOUN
ejpam-6149	24	24	,	,	PUNCT
ejpam-6149	24	25	leading	lead	VERB
ejpam-6149	24	26	to	to	ADP
ejpam-6149	24	27	the	the	DET
ejpam-6149	24	28	declaration	declaration	NOUN
ejpam-6149	24	29	of	of	ADP
ejpam-6149	24	30	a	a	DET
ejpam-6149	24	31	pandemic	pandemic	NOUN
ejpam-6149	24	32	by	by	ADP
ejpam-6149	24	33	the	the	DET
ejpam-6149	24	34	world	world	PROPN
ejpam-6149	24	35	health	health	PROPN
ejpam-6149	24	36	organization	organization	NOUN
ejpam-6149	24	37	(	(	PUNCT
ejpam-6149	24	38	who	who	PRON
ejpam-6149	24	39	)	)	PUNCT
ejpam-6149	24	40	.	.	PUNCT
ejpam-6149	25	1	the	the	DET
ejpam-6149	25	2	virus	virus	NOUN
ejpam-6149	25	3	spreads	spread	VERB
ejpam-6149	25	4	primarily	primarily	ADV
ejpam-6149	25	5	through	through	ADP
ejpam-6149	25	6	droplets	droplet	NOUN
ejpam-6149	25	7	when	when	SCONJ
ejpam-6149	25	8	an	an	DET
ejpam-6149	25	9	infected	infected	ADJ
ejpam-6149	25	10	person	person	NOUN
ejpam-6149	25	11	talks	talk	NOUN
ejpam-6149	25	12	,	,	PUNCT
ejpam-6149	25	13	coughs	cough	NOUN
ejpam-6149	25	14	,	,	PUNCT
ejpam-6149	25	15	or	or	CCONJ
ejpam-6149	25	16	sneezes	sneeze	VERB
ejpam-6149	25	17	,	,	PUNCT
ejpam-6149	25	18	and	and	CCONJ
ejpam-6149	25	19	can	can	AUX
ejpam-6149	25	20	also	also	ADV
ejpam-6149	25	21	spread	spread	VERB
ejpam-6149	25	22	by	by	ADP
ejpam-6149	25	23	touching	touch	VERB
ejpam-6149	25	24	a	a	DET
ejpam-6149	25	25	contaminated	contaminate	VERB
ejpam-6149	25	26	surface	surface	NOUN
ejpam-6149	25	27	and	and	CCONJ
ejpam-6149	25	28	then	then	ADV
ejpam-6149	25	29	touching	touch	VERB
ejpam-6149	25	30	one	one	NUM
ejpam-6149	25	31	’s	’s	PART
ejpam-6149	25	32	mouth	mouth	NOUN
ejpam-6149	25	33	,	,	PUNCT
ejpam-6149	25	34	nose	nose	NOUN
ejpam-6149	25	35	,	,	PUNCT
ejpam-6149	25	36	or	or	CCONJ
ejpam-6149	25	37	eyes	eye	NOUN
ejpam-6149	26	1	[	[	X
ejpam-6149	26	2	8	8	NUM
ejpam-6149	26	3	]	]	PUNCT
ejpam-6149	26	4	.	.	PUNCT
ejpam-6149	27	1	in	in	ADP
ejpam-6149	27	2	january	january	PROPN
ejpam-6149	27	3	2025	2025	NUM
ejpam-6149	27	4	,	,	PUNCT
ejpam-6149	27	5	there	there	PRON
ejpam-6149	27	6	have	have	AUX
ejpam-6149	27	7	been	be	AUX
ejpam-6149	27	8	777,349,085	777,349,085	NUM
ejpam-6149	27	9	confirmed	confirm	VERB
ejpam-6149	27	10	cases	case	NOUN
ejpam-6149	27	11	of	of	ADP
ejpam-6149	27	12	covid-19	covid-19	PROPN
ejpam-6149	27	13	infection	infection	NOUN
ejpam-6149	27	14	,	,	PUNCT
ejpam-6149	27	15	with	with	SCONJ
ejpam-6149	27	16	7,086,633	7,086,633	NUM
ejpam-6149	27	17	confirmed	confirm	VERB
ejpam-6149	27	18	deaths	death	NOUN
ejpam-6149	27	19	in	in	ADP
ejpam-6149	27	20	the	the	DET
ejpam-6149	27	21	whole	whole	ADJ
ejpam-6149	27	22	country	country	NOUN
ejpam-6149	28	1	[	[	X
ejpam-6149	28	2	38	38	NUM
ejpam-6149	28	3	]	]	PUNCT
ejpam-6149	28	4	.	.	PUNCT
ejpam-6149	29	1	in	in	ADP
ejpam-6149	29	2	the	the	DET
ejpam-6149	29	3	philippines	philippine	NOUN
ejpam-6149	29	4	,	,	PUNCT
ejpam-6149	29	5	in	in	ADP
ejpam-6149	29	6	january	january	PROPN
ejpam-6149	29	7	2025	2025	NUM
ejpam-6149	29	8	there	there	PRON
ejpam-6149	29	9	were	be	VERB
ejpam-6149	29	10	4,140,383	4,140,383	NUM
ejpam-6149	29	11	confirmed	confirm	VERB
ejpam-6149	29	12	cases	case	NOUN
ejpam-6149	29	13	of	of	ADP
ejpam-6149	29	14	covid-19	covid-19	PROPN
ejpam-6149	29	15	with	with	ADP
ejpam-6149	29	16	66,864	66,864	NUM
ejpam-6149	29	17	deaths	death	NOUN
ejpam-6149	29	18	reported	report	VERB
ejpam-6149	29	19	to	to	ADP
ejpam-6149	29	20	the	the	DET
ejpam-6149	29	21	who	who	PRON
ejpam-6149	29	22	[	[	X
ejpam-6149	29	23	30	30	NUM
ejpam-6149	29	24	]	]	PUNCT
ejpam-6149	29	25	.	.	PUNCT
ejpam-6149	30	1	this	this	PRON
ejpam-6149	30	2	indicates	indicate	VERB
ejpam-6149	30	3	that	that	SCONJ
ejpam-6149	30	4	covid-19	covid-19	PROPN
ejpam-6149	30	5	continues	continue	VERB
ejpam-6149	30	6	to	to	PART
ejpam-6149	30	7	pose	pose	VERB
ejpam-6149	30	8	significant	significant	ADJ
ejpam-6149	30	9	global	global	ADJ
ejpam-6149	30	10	challenges	challenge	NOUN
ejpam-6149	30	11	in	in	ADP
ejpam-6149	30	12	terms	term	NOUN
ejpam-6149	30	13	of	of	ADP
ejpam-6149	30	14	public	public	ADJ
ejpam-6149	30	15	health	health	NOUN
ejpam-6149	30	16	and	and	CCONJ
ejpam-6149	30	17	economic	economic	ADJ
ejpam-6149	30	18	impact	impact	NOUN
ejpam-6149	30	19	.	.	PUNCT
ejpam-6149	31	1	on	on	ADP
ejpam-6149	31	2	the	the	DET
ejpam-6149	31	3	other	other	ADJ
ejpam-6149	31	4	hand	hand	NOUN
ejpam-6149	31	5	,	,	PUNCT
ejpam-6149	31	6	tuberculosis	tuberculosis	NOUN
ejpam-6149	31	7	(	(	PUNCT
ejpam-6149	31	8	tb	tb	NOUN
ejpam-6149	31	9	)	)	PUNCT
ejpam-6149	31	10	is	be	AUX
ejpam-6149	31	11	a	a	DET
ejpam-6149	31	12	contagious	contagious	ADJ
ejpam-6149	31	13	respiratory	respiratory	ADJ
ejpam-6149	31	14	infectious	infectious	ADJ
ejpam-6149	31	15	disease	disease	NOUN
ejpam-6149	31	16	caused	cause	VERB
ejpam-6149	31	17	by	by	ADP
ejpam-6149	31	18	the	the	DET
ejpam-6149	31	19	mycobacterium	mycobacterium	NOUN
ejpam-6149	31	20	tuberculosis	tuberculosis	NOUN
ejpam-6149	31	21	.	.	PUNCT
ejpam-6149	32	1	it	it	PRON
ejpam-6149	32	2	affects	affect	VERB
ejpam-6149	32	3	primarily	primarily	ADV
ejpam-6149	32	4	the	the	DET
ejpam-6149	32	5	lungs	lung	NOUN
ejpam-6149	32	6	,	,	PUNCT
ejpam-6149	32	7	but	but	CCONJ
ejpam-6149	32	8	can	can	AUX
ejpam-6149	32	9	also	also	ADV
ejpam-6149	32	10	target	target	VERB
ejpam-6149	32	11	other	other	ADJ
ejpam-6149	32	12	parts	part	NOUN
ejpam-6149	32	13	of	of	ADP
ejpam-6149	32	14	the	the	DET
ejpam-6149	32	15	body	body	NOUN
ejpam-6149	32	16	such	such	ADJ
ejpam-6149	32	17	as	as	ADP
ejpam-6149	32	18	the	the	DET
ejpam-6149	32	19	kidneys	kidney	NOUN
ejpam-6149	32	20	,	,	PUNCT
ejpam-6149	32	21	spine	spine	NOUN
ejpam-6149	32	22	,	,	PUNCT
ejpam-6149	32	23	and	and	CCONJ
ejpam-6149	32	24	brain	brain	NOUN
ejpam-6149	32	25	.	.	PUNCT
ejpam-6149	33	1	tuberculosis	tuberculosis	NOUN
ejpam-6149	33	2	spreads	spread	VERB
ejpam-6149	33	3	through	through	ADP
ejpam-6149	33	4	the	the	DET
ejpam-6149	33	5	air	air	NOUN
ejpam-6149	33	6	when	when	SCONJ
ejpam-6149	33	7	an	an	DET
ejpam-6149	33	8	infected	infected	ADJ
ejpam-6149	33	9	individual	individual	ADJ
ejpam-6149	33	10	coughs	cough	NOUN
ejpam-6149	33	11	,	,	PUNCT
ejpam-6149	33	12	sneezes	sneeze	VERB
ejpam-6149	33	13	,	,	PUNCT
ejpam-6149	33	14	or	or	CCONJ
ejpam-6149	33	15	talks	talk	NOUN
ejpam-6149	33	16	,	,	PUNCT
ejpam-6149	33	17	releasing	release	VERB
ejpam-6149	33	18	tiny	tiny	ADJ
ejpam-6149	33	19	droplets	droplet	NOUN
ejpam-6149	33	20	containing	contain	VERB
ejpam-6149	33	21	the	the	DET
ejpam-6149	33	22	bacteria	bacteria	NOUN
ejpam-6149	34	1	[	[	X
ejpam-6149	34	2	36	36	NUM
ejpam-6149	34	3	]	]	PUNCT
ejpam-6149	34	4	.	.	PUNCT
ejpam-6149	35	1	in	in	ADP
ejpam-6149	35	2	total	total	NOUN
ejpam-6149	35	3	,	,	PUNCT
ejpam-6149	35	4	approximately	approximately	ADV
ejpam-6149	35	5	10.6	10.6	NUM
ejpam-6149	35	6	million	million	NUM
ejpam-6149	35	7	people	people	NOUN
ejpam-6149	35	8	fell	fall	VERB
ejpam-6149	35	9	ill	ill	ADJ
ejpam-6149	35	10	with	with	ADP
ejpam-6149	35	11	tuberculosis	tuberculosis	NOUN
ejpam-6149	35	12	and	and	CCONJ
ejpam-6149	35	13	1.6	1.6	NUM
ejpam-6149	35	14	million	million	NUM
ejpam-6149	35	15	people	people	NOUN
ejpam-6149	35	16	died	die	VERB
ejpam-6149	35	17	of	of	ADP
ejpam-6149	35	18	tuberculosis	tuberculosis	NOUN
ejpam-6149	35	19	in	in	ADP
ejpam-6149	35	20	2021	2021	NUM
ejpam-6149	36	1	[	[	X
ejpam-6149	36	2	39	39	NUM
ejpam-6149	36	3	]	]	PUNCT
ejpam-6149	36	4	.	.	PUNCT
ejpam-6149	37	1	eight	eight	NUM
ejpam-6149	37	2	countries	country	NOUN
ejpam-6149	37	3	with	with	ADP
ejpam-6149	37	4	the	the	DET
ejpam-6149	37	5	highest	high	ADJ
ejpam-6149	37	6	number	number	NOUN
ejpam-6149	37	7	of	of	ADP
ejpam-6149	37	8	new	new	ADJ
ejpam-6149	37	9	tuberculosis	tuberculosis	NOUN
ejpam-6149	37	10	infections	infection	NOUN
ejpam-6149	37	11	in	in	ADP
ejpam-6149	37	12	2023	2023	NUM
ejpam-6149	37	13	are	be	AUX
ejpam-6149	37	14	india	india	PROPN
ejpam-6149	37	15	(	(	PUNCT
ejpam-6149	37	16	26	26	NUM
ejpam-6149	37	17	%	%	NOUN
ejpam-6149	37	18	)	)	PUNCT
ejpam-6149	37	19	,	,	PUNCT
ejpam-6149	37	20	china	china	PROPN
ejpam-6149	37	21	(	(	PUNCT
ejpam-6149	37	22	8.5	8.5	NUM
ejpam-6149	37	23	%	%	NOUN
ejpam-6149	37	24	)	)	PUNCT
ejpam-6149	37	25	indonesia	indonesia	PROPN
ejpam-6149	37	26	(	(	PUNCT
ejpam-6149	37	27	8.4	8.4	NUM
ejpam-6149	37	28	%	%	NOUN
ejpam-6149	37	29	)	)	PUNCT
ejpam-6149	37	30	,	,	PUNCT
ejpam-6149	37	31	philippines	philippine	NOUN
ejpam-6149	37	32	(	(	PUNCT
ejpam-6149	37	33	6.0	6.0	NUM
ejpam-6149	37	34	%	%	NOUN
ejpam-6149	37	35	)	)	PUNCT
ejpam-6149	37	36	,	,	PUNCT
ejpam-6149	37	37	pakistan	pakistan	PROPN
ejpam-6149	37	38	(	(	PUNCT
ejpam-6149	37	39	5.8	5.8	NUM
ejpam-6149	37	40	%	%	NOUN
ejpam-6149	37	41	)	)	PUNCT
ejpam-6149	37	42	,	,	PUNCT
ejpam-6149	37	43	nigeria	nigeria	PROPN
ejpam-6149	37	44	(	(	PUNCT
ejpam-6149	37	45	4.6	4.6	NUM
ejpam-6149	37	46	%	%	NOUN
ejpam-6149	37	47	)	)	PUNCT
ejpam-6149	37	48	,	,	PUNCT
ejpam-6149	37	49	bangladesh	bangladesh	NOUN
ejpam-6149	37	50	(	(	PUNCT
ejpam-6149	37	51	3.6	3.6	NUM
ejpam-6149	37	52	%	%	NOUN
ejpam-6149	37	53	)	)	PUNCT
ejpam-6149	37	54	,	,	PUNCT
ejpam-6149	37	55	and	and	CCONJ
ejpam-6149	37	56	south	south	PROPN
ejpam-6149	37	57	africa	africa	PROPN
ejpam-6149	37	58	(	(	PUNCT
ejpam-6149	37	59	3.6	3.6	NUM
ejpam-6149	37	60	%	%	NOUN
ejpam-6149	37	61	)	)	PUNCT
ejpam-6149	38	1	[	[	X
ejpam-6149	38	2	41	41	NUM
ejpam-6149	38	3	]	]	PUNCT
ejpam-6149	38	4	.	.	PUNCT
ejpam-6149	39	1	this	this	PRON
ejpam-6149	39	2	indicates	indicate	VERB
ejpam-6149	39	3	that	that	SCONJ
ejpam-6149	39	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	39	5	is	be	AUX
ejpam-6149	39	6	one	one	NUM
ejpam-6149	39	7	of	of	ADP
ejpam-6149	39	8	the	the	DET
ejpam-6149	39	9	major	major	ADJ
ejpam-6149	39	10	global	global	ADJ
ejpam-6149	39	11	health	health	NOUN
ejpam-6149	39	12	concerns	concern	NOUN
ejpam-6149	39	13	in	in	ADP
ejpam-6149	39	14	these	these	DET
ejpam-6149	39	15	countries	country	NOUN
ejpam-6149	39	16	,	,	PUNCT
ejpam-6149	39	17	particularly	particularly	ADV
ejpam-6149	39	18	in	in	ADP
ejpam-6149	39	19	the	the	DET
ejpam-6149	39	20	philippines	philippine	NOUN
ejpam-6149	39	21	.	.	PUNCT
ejpam-6149	40	1	covid-19	covid-19	PROPN
ejpam-6149	40	2	and	and	CCONJ
ejpam-6149	40	3	tuberculosis	tuberculosis	NOUN
ejpam-6149	40	4	are	be	AUX
ejpam-6149	40	5	both	both	PRON
ejpam-6149	40	6	infectious	infectious	ADJ
ejpam-6149	40	7	diseases	disease	NOUN
ejpam-6149	40	8	primarily	primarily	ADV
ejpam-6149	40	9	transmitted	transmit	VERB
ejpam-6149	40	10	through	through	ADP
ejpam-6149	40	11	close	close	ADJ
ejpam-6149	40	12	contact	contact	NOUN
ejpam-6149	40	13	.	.	PUNCT
ejpam-6149	41	1	co	co	NOUN
ejpam-6149	41	2	-	-	NOUN
ejpam-6149	41	3	infection	infection	NOUN
ejpam-6149	41	4	occurs	occur	VERB
ejpam-6149	41	5	when	when	SCONJ
ejpam-6149	41	6	an	an	DET
ejpam-6149	41	7	individual	individual	NOUN
ejpam-6149	41	8	is	be	AUX
ejpam-6149	41	9	simultaneously	simultaneously	ADV
ejpam-6149	41	10	infected	infect	VERB
ejpam-6149	41	11	with	with	ADP
ejpam-6149	41	12	covid-19	covid-19	PROPN
ejpam-6149	41	13	and	and	CCONJ
ejpam-6149	41	14	tuberculosis	tuberculosis	NOUN
ejpam-6149	41	15	.	.	PUNCT
ejpam-6149	42	1	co	co	VERB
ejpam-6149	42	2	-	-	ADJ
ejpam-6149	42	3	infected	infected	ADJ
ejpam-6149	42	4	individuals	individual	NOUN
ejpam-6149	42	5	experience	experience	VERB
ejpam-6149	42	6	similar	similar	ADJ
ejpam-6149	42	7	symptoms	symptom	NOUN
ejpam-6149	42	8	such	such	ADJ
ejpam-6149	42	9	as	as	ADP
ejpam-6149	42	10	cough	cough	NOUN
ejpam-6149	42	11	,	,	PUNCT
ejpam-6149	42	12	fever	fever	NOUN
ejpam-6149	42	13	,	,	PUNCT
ejpam-6149	42	14	and	and	CCONJ
ejpam-6149	42	15	difficulty	difficulty	NOUN
ejpam-6149	42	16	breathing	breathe	VERB
ejpam-6149	42	17	.	.	PUNCT
ejpam-6149	43	1	the	the	DET
ejpam-6149	43	2	study	study	NOUN
ejpam-6149	43	3	reported	report	VERB
ejpam-6149	43	4	in	in	ADP
ejpam-6149	43	5	[	[	X
ejpam-6149	43	6	9	9	NUM
ejpam-6149	43	7	]	]	PUNCT
ejpam-6149	43	8	has	have	AUX
ejpam-6149	43	9	confirmed	confirm	VERB
ejpam-6149	43	10	that	that	SCONJ
ejpam-6149	43	11	latent	latent	NOUN
ejpam-6149	43	12	and	and	CCONJ
ejpam-6149	43	13	active	active	ADJ
ejpam-6149	43	14	tb	tb	X
ejpam-6149	43	15	are	be	AUX
ejpam-6149	43	16	the	the	DET
ejpam-6149	43	17	primary	primary	ADJ
ejpam-6149	43	18	risk	risk	NOUN
ejpam-6149	43	19	factors	factor	NOUN
ejpam-6149	43	20	for	for	ADP
ejpam-6149	43	21	increasing	increase	VERB
ejpam-6149	43	22	the	the	DET
ejpam-6149	43	23	transmission	transmission	NOUN
ejpam-6149	43	24	of	of	ADP
ejpam-6149	43	25	covid-19	covid-19	PROPN
ejpam-6149	43	26	within	within	ADP
ejpam-6149	43	27	the	the	DET
ejpam-6149	43	28	community	community	NOUN
ejpam-6149	43	29	.	.	PUNCT
ejpam-6149	44	1	furthermore	furthermore	ADV
ejpam-6149	44	2	,	,	PUNCT
ejpam-6149	44	3	research	research	NOUN
ejpam-6149	44	4	work	work	NOUN
ejpam-6149	44	5	in	in	ADP
ejpam-6149	44	6	[	[	X
ejpam-6149	44	7	35	35	NUM
ejpam-6149	44	8	]	]	PUNCT
ejpam-6149	44	9	reveals	reveal	VERB
ejpam-6149	44	10	that	that	SCONJ
ejpam-6149	44	11	people	people	NOUN
ejpam-6149	44	12	with	with	ADP
ejpam-6149	44	13	active	active	ADJ
ejpam-6149	44	14	or	or	CCONJ
ejpam-6149	44	15	latent	latent	ADJ
ejpam-6149	44	16	tuberculosis	tuberculosis	NOUN
ejpam-6149	44	17	are	be	AUX
ejpam-6149	44	18	more	more	ADV
ejpam-6149	44	19	vulnerable	vulnerable	ADJ
ejpam-6149	44	20	to	to	ADP
ejpam-6149	44	21	covid-19	covid-19	PROPN
ejpam-6149	44	22	.	.	PUNCT
ejpam-6149	45	1	according	accord	VERB
ejpam-6149	45	2	to	to	ADP
ejpam-6149	45	3	the	the	DET
ejpam-6149	45	4	report	report	NOUN
ejpam-6149	45	5	,	,	PUNCT
ejpam-6149	45	6	the	the	DET
ejpam-6149	45	7	authors	author	NOUN
ejpam-6149	45	8	observed	observe	VERB
ejpam-6149	45	9	a	a	DET
ejpam-6149	45	10	more	more	ADV
ejpam-6149	45	11	rapid	rapid	ADJ
ejpam-6149	45	12	and	and	CCONJ
ejpam-6149	45	13	severe	severe	ADJ
ejpam-6149	45	14	progression	progression	NOUN
ejpam-6149	45	15	of	of	ADP
ejpam-6149	45	16	symptoms	symptom	NOUN
ejpam-6149	45	17	in	in	ADP
ejpam-6149	45	18	patients	patient	NOUN
ejpam-6149	45	19	with	with	ADP
ejpam-6149	45	20	both	both	DET
ejpam-6149	45	21	diseases	disease	NOUN
ejpam-6149	45	22	.	.	PUNCT
ejpam-6149	46	1	clinical	clinical	ADJ
ejpam-6149	46	2	evidence	evidence	NOUN
ejpam-6149	46	3	indicates	indicate	VERB
ejpam-6149	46	4	that	that	SCONJ
ejpam-6149	46	5	tb	tb	NOUN
ejpam-6149	46	6	is	be	AUX
ejpam-6149	46	7	associated	associate	VERB
ejpam-6149	46	8	with	with	ADP
ejpam-6149	46	9	covid-19	covid-19	PROPN
ejpam-6149	46	10	,	,	PUNCT
ejpam-6149	46	11	resulting	result	VERB
ejpam-6149	46	12	in	in	ADP
ejpam-6149	46	13	a	a	DET
ejpam-6149	46	14	two	two	NUM
ejpam-6149	46	15	to	to	PART
ejpam-6149	46	16	three	three	NUM
ejpam-6149	46	17	-	-	ADJ
ejpam-6149	46	18	fold	fold	ADJ
ejpam-6149	46	19	increase	increase	NOUN
ejpam-6149	46	20	in	in	ADP
ejpam-6149	46	21	mortality	mortality	NOUN
ejpam-6149	46	22	and	and	CCONJ
ejpam-6149	46	23	a	a	DET
ejpam-6149	46	24	25	25	NUM
ejpam-6149	46	25	%	%	NOUN
ejpam-6149	46	26	relative	relative	ADJ
ejpam-6149	46	27	reduction	reduction	NOUN
ejpam-6149	46	28	in	in	ADP
ejpam-6149	46	29	the	the	DET
ejpam-6149	46	30	likelihood	likelihood	NOUN
ejpam-6149	46	31	of	of	ADP
ejpam-6149	46	32	recovery	recovery	NOUN
ejpam-6149	46	33	for	for	ADP
ejpam-6149	46	34	individuals	individual	NOUN
ejpam-6149	46	35	co	co	VERB
ejpam-6149	46	36	-	-	VERB
ejpam-6149	46	37	infected	infected	ADJ
ejpam-6149	46	38	with	with	ADP
ejpam-6149	46	39	both	both	DET
ejpam-6149	46	40	diseases	disease	NOUN
ejpam-6149	46	41	[	[	X
ejpam-6149	46	42	25	25	NUM
ejpam-6149	46	43	]	]	PUNCT
ejpam-6149	46	44	.	.	PUNCT
ejpam-6149	47	1	several	several	ADJ
ejpam-6149	47	2	research	research	NOUN
ejpam-6149	47	3	studies	study	NOUN
ejpam-6149	47	4	have	have	AUX
ejpam-6149	47	5	shown	show	VERB
ejpam-6149	47	6	that	that	SCONJ
ejpam-6149	47	7	covid-19	covid-19	PROPN
ejpam-6149	47	8	and	and	CCONJ
ejpam-6149	47	9	tuberculosis	tuberculosis	NOUN
ejpam-6149	47	10	rapidly	rapidly	ADV
ejpam-6149	47	11	transmit	transmit	VERB
ejpam-6149	47	12	through	through	ADP
ejpam-6149	47	13	close	close	ADJ
ejpam-6149	47	14	contact	contact	NOUN
ejpam-6149	47	15	(	(	PUNCT
ejpam-6149	47	16	[	[	X
ejpam-6149	47	17	18	18	NUM
ejpam-6149	47	18	]	]	PUNCT
ejpam-6149	47	19	,	,	PUNCT
ejpam-6149	47	20	[	[	X
ejpam-6149	47	21	40	40	NUM
ejpam-6149	47	22	]	]	PUNCT
ejpam-6149	47	23	,	,	PUNCT
ejpam-6149	47	24	[	[	X
ejpam-6149	47	25	47	47	NUM
ejpam-6149	47	26	]	]	PUNCT
ejpam-6149	47	27	)	)	PUNCT
ejpam-6149	47	28	.	.	PUNCT
ejpam-6149	48	1	both	both	CCONJ
ejpam-6149	48	2	these	these	DET
ejpam-6149	48	3	diseases	disease	NOUN
ejpam-6149	48	4	primarily	primarily	ADV
ejpam-6149	48	5	transmits	transmit	VERB
ejpam-6149	48	6	rapidly	rapidly	ADV
ejpam-6149	48	7	in	in	ADP
ejpam-6149	48	8	settings	setting	NOUN
ejpam-6149	48	9	where	where	SCONJ
ejpam-6149	48	10	there	there	PRON
ejpam-6149	48	11	is	be	VERB
ejpam-6149	48	12	close	close	ADJ
ejpam-6149	48	13	and	and	CCONJ
ejpam-6149	48	14	prolonged	prolonged	ADJ
ejpam-6149	48	15	contact	contact	NOUN
ejpam-6149	48	16	between	between	ADP
ejpam-6149	48	17	infected	infect	VERB
ejpam-6149	48	18	individuals	individual	NOUN
ejpam-6149	48	19	and	and	CCONJ
ejpam-6149	48	20	susceptible	susceptible	ADJ
ejpam-6149	48	21	individuals	individual	NOUN
ejpam-6149	48	22	.	.	PUNCT
ejpam-6149	49	1	some	some	DET
ejpam-6149	49	2	specific	specific	ADJ
ejpam-6149	49	3	contexts	context	NOUN
ejpam-6149	49	4	where	where	SCONJ
ejpam-6149	49	5	covid-19	covid-19	PROPN
ejpam-6149	49	6	and	and	CCONJ
ejpam-6149	49	7	tuberculosis	tuberculosis	PRON
ejpam-6149	49	8	transmission	transmission	NOUN
ejpam-6149	49	9	can	can	AUX
ejpam-6149	49	10	occur	occur	VERB
ejpam-6149	49	11	rapidly	rapidly	ADV
ejpam-6149	49	12	include	include	VERB
ejpam-6149	49	13	:	:	PUNCT
ejpam-6149	49	14	poor	poor	ADJ
ejpam-6149	49	15	ventilation	ventilation	NOUN
ejpam-6149	49	16	,	,	PUNCT
ejpam-6149	49	17	crowded	crowded	ADJ
ejpam-6149	49	18	places	place	NOUN
ejpam-6149	49	19	,	,	PUNCT
ejpam-6149	49	20	and	and	CCONJ
ejpam-6149	49	21	superspreading	superspreade	VERB
ejpam-6149	49	22	events	event	NOUN
ejpam-6149	49	23	.	.	PUNCT
ejpam-6149	50	1	the	the	DET
ejpam-6149	50	2	implementation	implementation	NOUN
ejpam-6149	50	3	of	of	ADP
ejpam-6149	50	4	the	the	DET
ejpam-6149	50	5	non	non	ADJ
ejpam-6149	50	6	-	-	ADJ
ejpam-6149	50	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6149	50	8	interventions	intervention	NOUN
ejpam-6149	50	9	,	,	PUNCT
ejpam-6149	50	10	such	such	ADJ
ejpam-6149	50	11	as	as	ADP
ejpam-6149	50	12	isolation	isolation	NOUN
ejpam-6149	50	13	or	or	CCONJ
ejpam-6149	50	14	quarantine	quarantine	NOUN
ejpam-6149	50	15	help	help	NOUN
ejpam-6149	50	16	effectively	effectively	ADV
ejpam-6149	50	17	mitigate	mitigate	VERB
ejpam-6149	50	18	the	the	DET
ejpam-6149	50	19	covid-19	covid-19	PROPN
ejpam-6149	50	20	outbreak	outbreak	NOUN
ejpam-6149	50	21	(	(	PUNCT
ejpam-6149	50	22	[	[	X
ejpam-6149	50	23	5],[15	5],[15	NOUN
ejpam-6149	50	24	]	]	PUNCT
ejpam-6149	50	25	,	,	PUNCT
ejpam-6149	50	26	[	[	X
ejpam-6149	50	27	46	46	NUM
ejpam-6149	50	28	]	]	PUNCT
ejpam-6149	50	29	,	,	PUNCT
ejpam-6149	50	30	[	[	X
ejpam-6149	50	31	47	47	NUM
ejpam-6149	50	32	]	]	PUNCT
ejpam-6149	50	33	)	)	PUNCT
ejpam-6149	50	34	.	.	PUNCT
ejpam-6149	51	1	these	these	DET
ejpam-6149	51	2	measures	measure	NOUN
ejpam-6149	51	3	are	be	AUX
ejpam-6149	51	4	taken	take	VERB
ejpam-6149	51	5	to	to	PART
ejpam-6149	51	6	prevent	prevent	VERB
ejpam-6149	51	7	the	the	DET
ejpam-6149	51	8	potential	potential	ADJ
ejpam-6149	51	9	spread	spread	NOUN
ejpam-6149	51	10	of	of	ADP
ejpam-6149	51	11	the	the	DET
ejpam-6149	51	12	disease	disease	NOUN
ejpam-6149	51	13	by	by	ADP
ejpam-6149	51	14	isolating	isolate	VERB
ejpam-6149	51	15	and	and	CCONJ
ejpam-6149	51	16	monitoring	monitor	VERB
ejpam-6149	51	17	individuals	individual	NOUN
ejpam-6149	51	18	during	during	ADP
ejpam-6149	51	19	the	the	DET
ejpam-6149	51	20	incubation	incubation	NOUN
ejpam-6149	51	21	period	period	NOUN
ejpam-6149	51	22	or	or	CCONJ
ejpam-6149	51	23	when	when	SCONJ
ejpam-6149	51	24	they	they	PRON
ejpam-6149	51	25	show	show	VERB
ejpam-6149	51	26	symptoms	symptom	NOUN
ejpam-6149	51	27	.	.	PUNCT
ejpam-6149	52	1	quarantine	quarantine	NOUN
ejpam-6149	52	2	typically	typically	ADV
ejpam-6149	52	3	involves	involve	VERB
ejpam-6149	52	4	staying	stay	VERB
ejpam-6149	52	5	in	in	ADP
ejpam-6149	52	6	a	a	DET
ejpam-6149	52	7	designated	designate	VERB
ejpam-6149	52	8	location	location	NOUN
ejpam-6149	52	9	,	,	PUNCT
ejpam-6149	52	10	such	such	ADJ
ejpam-6149	52	11	as	as	ADP
ejpam-6149	52	12	a	a	DET
ejpam-6149	52	13	healthcare	healthcare	NOUN
ejpam-6149	52	14	facility	facility	NOUN
ejpam-6149	52	15	or	or	CCONJ
ejpam-6149	52	16	one	one	NUM
ejpam-6149	52	17	’s	’s	PART
ejpam-6149	52	18	j.	j.	PROPN
ejpam-6149	52	19	puebla	puebla	PROPN
ejpam-6149	52	20	,	,	PUNCT
ejpam-6149	52	21	jm	jm	PROPN
ejpam-6149	52	22	.	.	PROPN
ejpam-6149	52	23	macalalag	macalalag	PROPN
ejpam-6149	52	24	,	,	PUNCT
ejpam-6149	52	25	k.	k.	PROPN
ejpam-6149	52	26	pajaron	pajaron	PROPN
ejpam-6149	52	27	/	/	SYM
ejpam-6149	52	28	eur	eur	PROPN
ejpam-6149	52	29	.	.	PUNCT
ejpam-6149	53	1	j.	j.	PROPN
ejpam-6149	53	2	pure	pure	PROPN
ejpam-6149	53	3	appl	appl	PROPN
ejpam-6149	53	4	.	.	PROPN
ejpam-6149	53	5	math	math	PROPN
ejpam-6149	53	6	,	,	PUNCT
ejpam-6149	53	7	18	18	NUM
ejpam-6149	53	8	(	(	PUNCT
ejpam-6149	53	9	3	3	NUM
ejpam-6149	53	10	)	)	PUNCT
ejpam-6149	53	11	(	(	PUNCT
ejpam-6149	53	12	2025	2025	NUM
ejpam-6149	53	13	)	)	PUNCT
ejpam-6149	53	14	,	,	PUNCT
ejpam-6149	53	15	6149	6149	NUM
ejpam-6149	53	16	3	3	NUM
ejpam-6149	53	17	of	of	ADP
ejpam-6149	53	18	28	28	NUM
ejpam-6149	53	19	own	own	ADJ
ejpam-6149	53	20	home	home	NOUN
ejpam-6149	53	21	,	,	PUNCT
ejpam-6149	53	22	and	and	CCONJ
ejpam-6149	53	23	avoiding	avoid	VERB
ejpam-6149	53	24	contact	contact	NOUN
ejpam-6149	53	25	with	with	ADP
ejpam-6149	53	26	others	other	NOUN
ejpam-6149	53	27	until	until	SCONJ
ejpam-6149	53	28	the	the	DET
ejpam-6149	53	29	risk	risk	NOUN
ejpam-6149	53	30	of	of	ADP
ejpam-6149	53	31	spreading	spread	VERB
ejpam-6149	53	32	the	the	DET
ejpam-6149	53	33	disease	disease	NOUN
ejpam-6149	53	34	has	have	AUX
ejpam-6149	53	35	passed	pass	VERB
ejpam-6149	53	36	.	.	PUNCT
ejpam-6149	54	1	it	it	PRON
ejpam-6149	54	2	is	be	AUX
ejpam-6149	54	3	an	an	DET
ejpam-6149	54	4	important	important	ADJ
ejpam-6149	54	5	public	public	ADJ
ejpam-6149	54	6	health	health	NOUN
ejpam-6149	54	7	strategy	strategy	NOUN
ejpam-6149	54	8	to	to	PART
ejpam-6149	54	9	control	control	VERB
ejpam-6149	54	10	infectious	infectious	ADJ
ejpam-6149	54	11	diseases	disease	NOUN
ejpam-6149	54	12	and	and	CCONJ
ejpam-6149	54	13	protect	protect	VERB
ejpam-6149	54	14	the	the	DET
ejpam-6149	54	15	community	community	NOUN
ejpam-6149	54	16	.	.	PUNCT
ejpam-6149	55	1	hence	hence	ADV
ejpam-6149	55	2	,	,	PUNCT
ejpam-6149	55	3	the	the	DET
ejpam-6149	55	4	quarantine	quarantine	NOUN
ejpam-6149	55	5	measures	measure	NOUN
ejpam-6149	55	6	plays	play	VERB
ejpam-6149	55	7	a	a	DET
ejpam-6149	55	8	crucial	crucial	ADJ
ejpam-6149	55	9	role	role	NOUN
ejpam-6149	55	10	in	in	ADP
ejpam-6149	55	11	mitigating	mitigate	VERB
ejpam-6149	55	12	the	the	DET
ejpam-6149	55	13	spread	spread	NOUN
ejpam-6149	55	14	of	of	ADP
ejpam-6149	55	15	co	co	NOUN
ejpam-6149	55	16	-	-	NOUN
ejpam-6149	55	17	infection	infection	NOUN
ejpam-6149	55	18	between	between	ADP
ejpam-6149	55	19	covid-19	covid-19	PROPN
ejpam-6149	55	20	and	and	CCONJ
ejpam-6149	55	21	tuberculosis	tuberculosis	NOUN
ejpam-6149	55	22	.	.	PUNCT
ejpam-6149	56	1	amidst	amidst	ADP
ejpam-6149	56	2	the	the	DET
ejpam-6149	56	3	chaotic	chaotic	ADJ
ejpam-6149	56	4	spread	spread	NOUN
ejpam-6149	56	5	of	of	ADP
ejpam-6149	56	6	covid-19	covid-19	PROPN
ejpam-6149	56	7	,	,	PUNCT
ejpam-6149	56	8	there	there	PRON
ejpam-6149	56	9	has	have	AUX
ejpam-6149	56	10	been	be	AUX
ejpam-6149	56	11	a	a	DET
ejpam-6149	56	12	concerning	concern	VERB
ejpam-6149	56	13	neglect	neglect	NOUN
ejpam-6149	56	14	of	of	ADP
ejpam-6149	56	15	several	several	ADJ
ejpam-6149	56	16	other	other	ADJ
ejpam-6149	56	17	diseases	disease	NOUN
ejpam-6149	56	18	,	,	PUNCT
ejpam-6149	56	19	including	include	VERB
ejpam-6149	56	20	tuberculosis	tuberculosis	NOUN
ejpam-6149	56	21	,	,	PUNCT
ejpam-6149	56	22	in	in	ADP
ejpam-6149	56	23	terms	term	NOUN
ejpam-6149	56	24	of	of	ADP
ejpam-6149	56	25	treatment	treatment	NOUN
ejpam-6149	56	26	and	and	CCONJ
ejpam-6149	56	27	care	care	NOUN
ejpam-6149	56	28	.	.	PUNCT
ejpam-6149	57	1	the	the	DET
ejpam-6149	57	2	significant	significant	ADJ
ejpam-6149	57	3	surge	surge	NOUN
ejpam-6149	57	4	in	in	ADP
ejpam-6149	57	5	covid-19	covid-19	PROPN
ejpam-6149	57	6	cases	case	NOUN
ejpam-6149	57	7	has	have	AUX
ejpam-6149	57	8	led	lead	VERB
ejpam-6149	57	9	to	to	ADP
ejpam-6149	57	10	a	a	DET
ejpam-6149	57	11	drastic	drastic	ADJ
ejpam-6149	57	12	decline	decline	NOUN
ejpam-6149	57	13	in	in	ADP
ejpam-6149	57	14	the	the	DET
ejpam-6149	57	15	identification	identification	NOUN
ejpam-6149	57	16	and	and	CCONJ
ejpam-6149	57	17	reporting	reporting	NOUN
ejpam-6149	57	18	of	of	ADP
ejpam-6149	57	19	tb	tb	ADP
ejpam-6149	57	20	cases	case	NOUN
ejpam-6149	57	21	,	,	PUNCT
ejpam-6149	57	22	consequently	consequently	ADV
ejpam-6149	57	23	reversing	reverse	VERB
ejpam-6149	57	24	the	the	DET
ejpam-6149	57	25	progress	progress	NOUN
ejpam-6149	57	26	made	make	VERB
ejpam-6149	57	27	towards	towards	ADP
ejpam-6149	57	28	the	the	DET
ejpam-6149	57	29	global	global	ADJ
ejpam-6149	57	30	tb	tb	NOUN
ejpam-6149	57	31	targets	target	NOUN
ejpam-6149	57	32	.	.	PUNCT
ejpam-6149	58	1	it	it	PRON
ejpam-6149	58	2	is	be	AUX
ejpam-6149	58	3	of	of	ADP
ejpam-6149	58	4	utmost	utmost	ADJ
ejpam-6149	58	5	importance	importance	NOUN
ejpam-6149	58	6	to	to	PART
ejpam-6149	58	7	prioritize	prioritize	VERB
ejpam-6149	58	8	the	the	DET
ejpam-6149	58	9	implementation	implementation	NOUN
ejpam-6149	58	10	of	of	ADP
ejpam-6149	58	11	essential	essential	ADJ
ejpam-6149	58	12	control	control	NOUN
ejpam-6149	58	13	measures	measure	NOUN
ejpam-6149	58	14	,	,	PUNCT
ejpam-6149	58	15	particularly	particularly	ADV
ejpam-6149	58	16	in	in	ADP
ejpam-6149	58	17	managing	manage	VERB
ejpam-6149	58	18	tuberculosis	tuberculosis	NOUN
ejpam-6149	58	19	cases	case	NOUN
ejpam-6149	58	20	.	.	PUNCT
ejpam-6149	59	1	this	this	PRON
ejpam-6149	59	2	entails	entail	VERB
ejpam-6149	59	3	promptly	promptly	ADV
ejpam-6149	59	4	identifying	identify	VERB
ejpam-6149	59	5	and	and	CCONJ
ejpam-6149	59	6	managing	manage	VERB
ejpam-6149	59	7	covid-19	covid-19	PROPN
ejpam-6149	59	8	in	in	ADP
ejpam-6149	59	9	individuals	individual	NOUN
ejpam-6149	59	10	with	with	ADP
ejpam-6149	59	11	tuberculosis	tuberculosis	NOUN
ejpam-6149	59	12	,	,	PUNCT
ejpam-6149	59	13	giving	give	VERB
ejpam-6149	59	14	them	they	PRON
ejpam-6149	59	15	precedence	precedence	NOUN
ejpam-6149	59	16	in	in	ADP
ejpam-6149	59	17	tuberculosis	tuberculosis	NOUN
ejpam-6149	59	18	hospitals	hospital	NOUN
ejpam-6149	59	19	and	and	CCONJ
ejpam-6149	59	20	medication	medication	NOUN
ejpam-6149	59	21	centers	center	NOUN
ejpam-6149	59	22	.	.	PUNCT
ejpam-6149	60	1	to	to	PART
ejpam-6149	60	2	prevent	prevent	VERB
ejpam-6149	60	3	the	the	DET
ejpam-6149	60	4	escalating	escalate	VERB
ejpam-6149	60	5	number	number	NOUN
ejpam-6149	60	6	of	of	ADP
ejpam-6149	60	7	individuals	individual	NOUN
ejpam-6149	60	8	coinfected	coinfecte	VERB
ejpam-6149	60	9	with	with	ADP
ejpam-6149	60	10	covid-19	covid-19	PROPN
ejpam-6149	60	11	and	and	CCONJ
ejpam-6149	60	12	tuberculosis	tuberculosis	NOUN
ejpam-6149	60	13	,	,	PUNCT
ejpam-6149	60	14	it	it	PRON
ejpam-6149	60	15	is	be	AUX
ejpam-6149	60	16	essential	essential	ADJ
ejpam-6149	60	17	to	to	PART
ejpam-6149	60	18	implement	implement	VERB
ejpam-6149	60	19	quarantine	quarantine	NOUN
ejpam-6149	60	20	measures	measure	NOUN
ejpam-6149	60	21	.	.	PUNCT
ejpam-6149	61	1	several	several	ADJ
ejpam-6149	61	2	recent	recent	ADJ
ejpam-6149	61	3	models	model	NOUN
ejpam-6149	61	4	have	have	AUX
ejpam-6149	61	5	explored	explore	VERB
ejpam-6149	61	6	the	the	DET
ejpam-6149	61	7	dynamics	dynamic	NOUN
ejpam-6149	61	8	of	of	ADP
ejpam-6149	61	9	covid-19	covid-19	PROPN
ejpam-6149	61	10	and	and	CCONJ
ejpam-6149	61	11	tuberculosis	tuberculosis	NOUN
ejpam-6149	61	12	(	(	PUNCT
ejpam-6149	61	13	tb	tb	NOUN
ejpam-6149	61	14	)	)	PUNCT
ejpam-6149	61	15	co	co	NOUN
ejpam-6149	61	16	-	-	NOUN
ejpam-6149	61	17	infection	infection	NOUN
ejpam-6149	61	18	.	.	PUNCT
ejpam-6149	62	1	studies	study	NOUN
ejpam-6149	62	2	have	have	AUX
ejpam-6149	62	3	focused	focus	VERB
ejpam-6149	62	4	on	on	ADP
ejpam-6149	62	5	vaccination	vaccination	NOUN
ejpam-6149	62	6	and	and	CCONJ
ejpam-6149	62	7	optimal	optimal	ADJ
ejpam-6149	62	8	control	control	NOUN
ejpam-6149	62	9	strategies	strategy	NOUN
ejpam-6149	62	10	without	without	ADP
ejpam-6149	62	11	explicitly	explicitly	ADV
ejpam-6149	62	12	modeling	model	VERB
ejpam-6149	62	13	quarantine	quarantine	NOUN
ejpam-6149	62	14	(	(	PUNCT
ejpam-6149	62	15	[	[	X
ejpam-6149	62	16	1	1	NUM
ejpam-6149	62	17	]	]	PUNCT
ejpam-6149	62	18	,	,	PUNCT
ejpam-6149	62	19	[	[	X
ejpam-6149	62	20	11	11	NUM
ejpam-6149	62	21	]	]	NUM
ejpam-6149	62	22	)	)	PUNCT
ejpam-6149	62	23	.	.	PUNCT
ejpam-6149	63	1	other	other	ADJ
ejpam-6149	63	2	works	work	NOUN
ejpam-6149	63	3	incorporated	incorporate	VERB
ejpam-6149	63	4	vaccination	vaccination	NOUN
ejpam-6149	63	5	and	and	CCONJ
ejpam-6149	63	6	isolation	isolation	NOUN
ejpam-6149	63	7	interventions	intervention	NOUN
ejpam-6149	63	8	,	,	PUNCT
ejpam-6149	63	9	but	but	CCONJ
ejpam-6149	63	10	did	do	AUX
ejpam-6149	63	11	not	not	PART
ejpam-6149	63	12	systematically	systematically	ADV
ejpam-6149	63	13	address	address	VERB
ejpam-6149	63	14	quarantine	quarantine	NOUN
ejpam-6149	63	15	for	for	ADP
ejpam-6149	63	16	co	co	ADJ
ejpam-6149	63	17	-	-	ADJ
ejpam-6149	63	18	infected	infected	ADJ
ejpam-6149	63	19	individuals	individual	NOUN
ejpam-6149	63	20	(	(	PUNCT
ejpam-6149	63	21	[	[	X
ejpam-6149	63	22	17	17	NUM
ejpam-6149	63	23	]	]	PUNCT
ejpam-6149	63	24	,	,	PUNCT
ejpam-6149	64	1	[	[	X
ejpam-6149	64	2	33	33	NUM
ejpam-6149	64	3	]	]	PUNCT
ejpam-6149	64	4	)	)	PUNCT
ejpam-6149	64	5	.	.	PUNCT
ejpam-6149	65	1	additional	additional	ADJ
ejpam-6149	65	2	studies	study	NOUN
ejpam-6149	65	3	analyzed	analyze	VERB
ejpam-6149	65	4	disease	disease	NOUN
ejpam-6149	65	5	dynamics	dynamic	NOUN
ejpam-6149	65	6	and	and	CCONJ
ejpam-6149	65	7	sensitivity	sensitivity	NOUN
ejpam-6149	65	8	but	but	CCONJ
ejpam-6149	65	9	lacked	lack	VERB
ejpam-6149	65	10	a	a	DET
ejpam-6149	65	11	quarantine	quarantine	NOUN
ejpam-6149	65	12	component	component	NOUN
ejpam-6149	65	13	(	(	PUNCT
ejpam-6149	65	14	[	[	X
ejpam-6149	65	15	24	24	NUM
ejpam-6149	65	16	]	]	PUNCT
ejpam-6149	65	17	,	,	PUNCT
ejpam-6149	65	18	[	[	X
ejpam-6149	65	19	26	26	NUM
ejpam-6149	65	20	]	]	PUNCT
ejpam-6149	65	21	)	)	PUNCT
ejpam-6149	65	22	.	.	PUNCT
ejpam-6149	66	1	in	in	ADP
ejpam-6149	66	2	contrast	contrast	NOUN
ejpam-6149	66	3	,	,	PUNCT
ejpam-6149	66	4	the	the	DET
ejpam-6149	66	5	present	present	ADJ
ejpam-6149	66	6	study	study	NOUN
ejpam-6149	66	7	introduces	introduce	NOUN
ejpam-6149	66	8	quarantine	quarantine	NOUN
ejpam-6149	66	9	compartments	compartment	NOUN
ejpam-6149	66	10	for	for	ADP
ejpam-6149	66	11	individuals	individual	NOUN
ejpam-6149	66	12	with	with	ADP
ejpam-6149	66	13	covid-19	covid-19	PROPN
ejpam-6149	66	14	,	,	PUNCT
ejpam-6149	66	15	tb	tb	NOUN
ejpam-6149	66	16	,	,	PUNCT
ejpam-6149	66	17	and	and	CCONJ
ejpam-6149	66	18	co	co	NOUN
ejpam-6149	66	19	-	-	NOUN
ejpam-6149	66	20	infection	infection	NOUN
ejpam-6149	66	21	,	,	PUNCT
ejpam-6149	66	22	allowing	allow	VERB
ejpam-6149	66	23	a	a	DET
ejpam-6149	66	24	detailed	detailed	ADJ
ejpam-6149	66	25	assessment	assessment	NOUN
ejpam-6149	66	26	of	of	ADP
ejpam-6149	66	27	quarantine	quarantine	NOUN
ejpam-6149	66	28	as	as	ADP
ejpam-6149	66	29	a	a	DET
ejpam-6149	66	30	non	non	ADJ
ejpam-6149	66	31	-	-	ADJ
ejpam-6149	66	32	pharmaceutical	pharmaceutical	ADJ
ejpam-6149	66	33	intervention	intervention	NOUN
ejpam-6149	66	34	.	.	PUNCT
ejpam-6149	67	1	this	this	DET
ejpam-6149	67	2	study	study	NOUN
ejpam-6149	67	3	develops	develop	VERB
ejpam-6149	67	4	a	a	DET
ejpam-6149	67	5	mathematical	mathematical	ADJ
ejpam-6149	67	6	model	model	NOUN
ejpam-6149	67	7	that	that	PRON
ejpam-6149	67	8	systematically	systematically	ADV
ejpam-6149	67	9	examines	examine	VERB
ejpam-6149	67	10	the	the	DET
ejpam-6149	67	11	impact	impact	NOUN
ejpam-6149	67	12	of	of	ADP
ejpam-6149	67	13	quarantine	quarantine	NOUN
ejpam-6149	67	14	measures	measure	NOUN
ejpam-6149	67	15	on	on	ADP
ejpam-6149	67	16	the	the	DET
ejpam-6149	67	17	transmission	transmission	NOUN
ejpam-6149	67	18	dynamics	dynamic	NOUN
ejpam-6149	67	19	of	of	ADP
ejpam-6149	67	20	covid-19	covid-19	PROPN
ejpam-6149	67	21	and	and	CCONJ
ejpam-6149	67	22	tuberculosis	tuberculosis	PRON
ejpam-6149	67	23	co	co	NOUN
ejpam-6149	67	24	-	-	NOUN
ejpam-6149	67	25	infection	infection	NOUN
ejpam-6149	67	26	,	,	PUNCT
ejpam-6149	67	27	providing	provide	VERB
ejpam-6149	67	28	new	new	ADJ
ejpam-6149	67	29	insights	insight	NOUN
ejpam-6149	67	30	into	into	ADP
ejpam-6149	67	31	effective	effective	ADJ
ejpam-6149	67	32	control	control	NOUN
ejpam-6149	67	33	strategies	strategy	NOUN
ejpam-6149	67	34	and	and	CCONJ
ejpam-6149	67	35	the	the	DET
ejpam-6149	67	36	potential	potential	ADJ
ejpam-6149	67	37	eradication	eradication	NOUN
ejpam-6149	67	38	of	of	ADP
ejpam-6149	67	39	co	co	NOUN
ejpam-6149	67	40	-	-	NOUN
ejpam-6149	67	41	infections	infection	NOUN
ejpam-6149	67	42	,	,	PUNCT
ejpam-6149	67	43	thereby	thereby	ADV
ejpam-6149	67	44	addressing	address	VERB
ejpam-6149	67	45	a	a	DET
ejpam-6149	67	46	critical	critical	ADJ
ejpam-6149	67	47	gap	gap	NOUN
ejpam-6149	67	48	in	in	ADP
ejpam-6149	67	49	the	the	DET
ejpam-6149	67	50	existing	exist	VERB
ejpam-6149	67	51	literature	literature	NOUN
ejpam-6149	67	52	.	.	PUNCT
ejpam-6149	68	1	2	2	X
ejpam-6149	68	2	.	.	X
ejpam-6149	68	3	model	model	NOUN
ejpam-6149	68	4	formulation	formulation	NOUN
ejpam-6149	68	5	we	we	PRON
ejpam-6149	68	6	developed	develop	VERB
ejpam-6149	68	7	a	a	DET
ejpam-6149	68	8	mathematical	mathematical	ADJ
ejpam-6149	68	9	model	model	NOUN
ejpam-6149	68	10	to	to	PART
ejpam-6149	68	11	study	study	VERB
ejpam-6149	68	12	the	the	DET
ejpam-6149	68	13	dynamics	dynamic	NOUN
ejpam-6149	68	14	of	of	ADP
ejpam-6149	68	15	covid-19	covid-19	PROPN
ejpam-6149	68	16	and	and	CCONJ
ejpam-6149	68	17	tuberculosis	tuberculosis	PRON
ejpam-6149	68	18	co	co	NOUN
ejpam-6149	68	19	-	-	NOUN
ejpam-6149	68	20	infection	infection	NOUN
ejpam-6149	68	21	,	,	PUNCT
ejpam-6149	68	22	dividing	divide	VERB
ejpam-6149	68	23	the	the	DET
ejpam-6149	68	24	human	human	ADJ
ejpam-6149	68	25	population	population	NOUN
ejpam-6149	68	26	into	into	ADP
ejpam-6149	68	27	11	11	NUM
ejpam-6149	68	28	compartments	compartment	NOUN
ejpam-6149	68	29	based	base	VERB
ejpam-6149	68	30	on	on	ADP
ejpam-6149	68	31	the	the	DET
ejpam-6149	68	32	health	health	NOUN
ejpam-6149	68	33	status	status	NOUN
ejpam-6149	68	34	of	of	ADP
ejpam-6149	68	35	individuals	individual	NOUN
ejpam-6149	68	36	:	:	PUNCT
ejpam-6149	68	37	susceptible	susceptible	ADJ
ejpam-6149	68	38	individuals	individual	NOUN
ejpam-6149	68	39	(	(	PUNCT
ejpam-6149	68	40	s	s	NOUN
ejpam-6149	68	41	)	)	PUNCT
ejpam-6149	68	42	,	,	PUNCT
ejpam-6149	68	43	exposed	expose	VERB
ejpam-6149	68	44	individuals	individual	NOUN
ejpam-6149	68	45	with	with	ADP
ejpam-6149	68	46	covid19	covid19	NOUN
ejpam-6149	68	47	only	only	ADV
ejpam-6149	68	48	(	(	PUNCT
ejpam-6149	68	49	ec	ec	PROPN
ejpam-6149	68	50	)	)	PUNCT
ejpam-6149	68	51	,	,	PUNCT
ejpam-6149	68	52	exposed	expose	VERB
ejpam-6149	68	53	individuals	individual	NOUN
ejpam-6149	68	54	with	with	ADP
ejpam-6149	68	55	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	56	only	only	ADV
ejpam-6149	68	57	(	(	PUNCT
ejpam-6149	68	58	et	et	NOUN
ejpam-6149	68	59	)	)	PUNCT
ejpam-6149	68	60	,	,	PUNCT
ejpam-6149	68	61	individuals	individual	NOUN
ejpam-6149	68	62	exposed	expose	VERB
ejpam-6149	68	63	with	with	ADP
ejpam-6149	68	64	both	both	CCONJ
ejpam-6149	68	65	covid-19	covid-19	PROPN
ejpam-6149	68	66	and	and	CCONJ
ejpam-6149	68	67	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	68	(	(	PUNCT
ejpam-6149	68	69	ect	ect	X
ejpam-6149	68	70	)	)	PUNCT
ejpam-6149	68	71	,	,	PUNCT
ejpam-6149	68	72	infected	infect	VERB
ejpam-6149	68	73	individuals	individual	NOUN
ejpam-6149	68	74	with	with	ADP
ejpam-6149	68	75	covid-19	covid-19	PROPN
ejpam-6149	68	76	only	only	ADV
ejpam-6149	68	77	(	(	PUNCT
ejpam-6149	68	78	ic	ic	NUM
ejpam-6149	68	79	)	)	PUNCT
ejpam-6149	68	80	,	,	PUNCT
ejpam-6149	68	81	infected	infect	VERB
ejpam-6149	68	82	individuals	individual	NOUN
ejpam-6149	68	83	with	with	ADP
ejpam-6149	68	84	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	85	only	only	ADV
ejpam-6149	68	86	(	(	PUNCT
ejpam-6149	68	87	it	it	PRON
ejpam-6149	68	88	)	)	PUNCT
ejpam-6149	68	89	,	,	PUNCT
ejpam-6149	68	90	infected	infect	VERB
ejpam-6149	68	91	individuals	individual	NOUN
ejpam-6149	68	92	with	with	ADP
ejpam-6149	68	93	both	both	CCONJ
ejpam-6149	68	94	covid-19	covid-19	PROPN
ejpam-6149	68	95	and	and	CCONJ
ejpam-6149	68	96	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	97	(	(	PUNCT
ejpam-6149	68	98	ict	ict	PROPN
ejpam-6149	68	99	)	)	PUNCT
ejpam-6149	68	100	,	,	PUNCT
ejpam-6149	68	101	quarantined	quarantine	VERB
ejpam-6149	68	102	individuals	individual	NOUN
ejpam-6149	68	103	with	with	ADP
ejpam-6149	68	104	covid-19	covid-19	PROPN
ejpam-6149	68	105	only	only	ADV
ejpam-6149	68	106	(	(	PUNCT
ejpam-6149	68	107	qc	qc	PROPN
ejpam-6149	68	108	)	)	PUNCT
ejpam-6149	68	109	,	,	PUNCT
ejpam-6149	68	110	quarantined	quarantine	VERB
ejpam-6149	68	111	individuals	individual	NOUN
ejpam-6149	68	112	with	with	ADP
ejpam-6149	68	113	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	114	only	only	ADV
ejpam-6149	68	115	(	(	PUNCT
ejpam-6149	68	116	qt	qt	NOUN
ejpam-6149	68	117	)	)	PUNCT
ejpam-6149	68	118	,	,	PUNCT
ejpam-6149	68	119	quarantined	quarantine	VERB
ejpam-6149	68	120	individuals	individual	NOUN
ejpam-6149	68	121	with	with	ADP
ejpam-6149	68	122	covid-19	covid-19	PROPN
ejpam-6149	68	123	and	and	CCONJ
ejpam-6149	68	124	tuberculosis	tuberculosis	NOUN
ejpam-6149	68	125	only	only	ADV
ejpam-6149	68	126	(	(	PUNCT
ejpam-6149	68	127	qct	qct	PROPN
ejpam-6149	68	128	)	)	PUNCT
ejpam-6149	68	129	,	,	PUNCT
ejpam-6149	68	130	and	and	CCONJ
ejpam-6149	68	131	recovered	recover	VERB
ejpam-6149	68	132	individuals	individual	NOUN
ejpam-6149	68	133	(	(	PUNCT
ejpam-6149	68	134	r	r	NOUN
ejpam-6149	68	135	)	)	PUNCT
ejpam-6149	68	136	.	.	PUNCT
ejpam-6149	69	1	the	the	DET
ejpam-6149	69	2	human	human	PROPN
ejpam-6149	69	3	populationn	populationn	NOUN
ejpam-6149	69	4	at	at	ADP
ejpam-6149	69	5	time	time	NOUN
ejpam-6149	69	6	t	t	PROPN
ejpam-6149	69	7	is	be	AUX
ejpam-6149	69	8	n(t	n(t	PROPN
ejpam-6149	69	9	)	)	PUNCT
ejpam-6149	69	10	=	=	SYM
ejpam-6149	69	11	s(t)+ec(t)+et	s(t)+ec(t)+et	X
ejpam-6149	69	12	(	(	PUNCT
ejpam-6149	69	13	t)+ect	t)+ect	X
ejpam-6149	69	14	(	(	PUNCT
ejpam-6149	69	15	t)+ic(t)+it	t)+ic(t)+it	NOUN
ejpam-6149	69	16	(	(	PUNCT
ejpam-6149	69	17	t)+ict	t)+ict	NOUN
ejpam-6149	69	18	(	(	PUNCT
ejpam-6149	69	19	t)+qc(t)+qt	t)+qc(t)+qt	NOUN
ejpam-6149	69	20	(	(	PUNCT
ejpam-6149	69	21	t)+qct	t)+qct	X
ejpam-6149	69	22	(	(	PUNCT
ejpam-6149	69	23	t)+r(t	t)+r(t	NOUN
ejpam-6149	69	24	)	)	PUNCT
ejpam-6149	69	25	.	.	PUNCT
ejpam-6149	70	1	the	the	DET
ejpam-6149	70	2	model	model	NOUN
ejpam-6149	70	3	has	have	VERB
ejpam-6149	70	4	the	the	DET
ejpam-6149	70	5	following	follow	VERB
ejpam-6149	70	6	assumptions	assumption	NOUN
ejpam-6149	70	7	:	:	PUNCT
ejpam-6149	70	8	individuals	individual	NOUN
ejpam-6149	70	9	infected	infect	VERB
ejpam-6149	70	10	with	with	ADP
ejpam-6149	70	11	covid-19	covid-19	PROPN
ejpam-6149	70	12	only	only	ADV
ejpam-6149	70	13	ic	ic	PROPN
ejpam-6149	70	14	are	be	AUX
ejpam-6149	70	15	susceptible	susceptible	ADJ
ejpam-6149	70	16	to	to	ADP
ejpam-6149	70	17	tuberculosis	tuberculosis	PRON
ejpam-6149	70	18	infection	infection	NOUN
ejpam-6149	70	19	and	and	CCONJ
ejpam-6149	70	20	vice	vice	NOUN
ejpam-6149	70	21	versa	versa	ADV
ejpam-6149	70	22	(	(	PUNCT
ejpam-6149	70	23	[	[	X
ejpam-6149	70	24	14	14	NUM
ejpam-6149	70	25	]	]	PUNCT
ejpam-6149	70	26	,	,	PUNCT
ejpam-6149	70	27	[	[	X
ejpam-6149	70	28	17	17	NUM
ejpam-6149	70	29	]	]	NUM
ejpam-6149	70	30	)	)	PUNCT
ejpam-6149	70	31	;	;	PUNCT
ejpam-6149	70	32	co	co	VERB
ejpam-6149	70	33	-	-	ADJ
ejpam-6149	70	34	infected	infected	ADJ
ejpam-6149	70	35	individuals	individual	NOUN
ejpam-6149	70	36	ict	ict	PROPN
ejpam-6149	70	37	can	can	AUX
ejpam-6149	70	38	transmit	transmit	VERB
ejpam-6149	70	39	either	either	CCONJ
ejpam-6149	70	40	covid-19	covid-19	PROPN
ejpam-6149	70	41	or	or	CCONJ
ejpam-6149	70	42	tuberculosis	tuberculosis	NOUN
ejpam-6149	70	43	but	but	CCONJ
ejpam-6149	70	44	not	not	PART
ejpam-6149	70	45	the	the	DET
ejpam-6149	70	46	mixed	mixed	ADJ
ejpam-6149	70	47	infections	infection	NOUN
ejpam-6149	70	48	at	at	ADP
ejpam-6149	70	49	the	the	DET
ejpam-6149	70	50	same	same	ADJ
ejpam-6149	70	51	time	time	NOUN
ejpam-6149	70	52	(	(	PUNCT
ejpam-6149	70	53	[	[	X
ejpam-6149	70	54	14	14	NUM
ejpam-6149	70	55	]	]	PUNCT
ejpam-6149	70	56	,	,	PUNCT
ejpam-6149	70	57	[	[	X
ejpam-6149	70	58	17	17	NUM
ejpam-6149	70	59	]	]	NUM
ejpam-6149	70	60	)	)	PUNCT
ejpam-6149	70	61	;	;	PUNCT
ejpam-6149	70	62	co	co	VERB
ejpam-6149	70	63	-	-	ADJ
ejpam-6149	70	64	infected	infected	ADJ
ejpam-6149	70	65	individuals	individual	NOUN
ejpam-6149	70	66	can	can	AUX
ejpam-6149	70	67	recover	recover	VERB
ejpam-6149	70	68	either	either	CCONJ
ejpam-6149	70	69	from	from	ADP
ejpam-6149	70	70	covid-19	covid-19	PROPN
ejpam-6149	70	71	or	or	CCONJ
ejpam-6149	70	72	tuberculosis	tuberculosis	NOUN
ejpam-6149	70	73	but	but	CCONJ
ejpam-6149	70	74	not	not	PART
ejpam-6149	70	75	from	from	ADP
ejpam-6149	70	76	the	the	DET
ejpam-6149	70	77	mixed	mixed	ADJ
ejpam-6149	70	78	infection	infection	NOUN
ejpam-6149	70	79	at	at	ADP
ejpam-6149	70	80	the	the	DET
ejpam-6149	70	81	same	same	ADJ
ejpam-6149	70	82	time	time	NOUN
ejpam-6149	70	83	(	(	PUNCT
ejpam-6149	70	84	[	[	X
ejpam-6149	70	85	14	14	NUM
ejpam-6149	70	86	]	]	PUNCT
ejpam-6149	70	87	,	,	PUNCT
ejpam-6149	70	88	[	[	X
ejpam-6149	70	89	17	17	NUM
ejpam-6149	70	90	]	]	PUNCT
ejpam-6149	70	91	,	,	PUNCT
ejpam-6149	70	92	[	[	X
ejpam-6149	70	93	27	27	NUM
ejpam-6149	70	94	]	]	NUM
ejpam-6149	70	95	)	)	PUNCT
ejpam-6149	70	96	;	;	PUNCT
ejpam-6149	70	97	the	the	DET
ejpam-6149	70	98	transj	transj	NOUN
ejpam-6149	70	99	.	.	PUNCT
ejpam-6149	71	1	puebla	puebla	PROPN
ejpam-6149	71	2	,	,	PUNCT
ejpam-6149	71	3	jm	jm	PROPN
ejpam-6149	71	4	.	.	PROPN
ejpam-6149	71	5	macalalag	macalalag	PROPN
ejpam-6149	71	6	,	,	PUNCT
ejpam-6149	71	7	k.	k.	PROPN
ejpam-6149	71	8	pajaron	pajaron	PROPN
ejpam-6149	71	9	/	/	SYM
ejpam-6149	71	10	eur	eur	PROPN
ejpam-6149	71	11	.	.	PUNCT
ejpam-6149	72	1	j.	j.	PROPN
ejpam-6149	72	2	pure	pure	PROPN
ejpam-6149	72	3	appl	appl	PROPN
ejpam-6149	72	4	.	.	PROPN
ejpam-6149	72	5	math	math	PROPN
ejpam-6149	72	6	,	,	PUNCT
ejpam-6149	72	7	18	18	NUM
ejpam-6149	72	8	(	(	PUNCT
ejpam-6149	72	9	3	3	NUM
ejpam-6149	72	10	)	)	PUNCT
ejpam-6149	72	11	(	(	PUNCT
ejpam-6149	72	12	2025	2025	NUM
ejpam-6149	72	13	)	)	PUNCT
ejpam-6149	72	14	,	,	PUNCT
ejpam-6149	72	15	6149	6149	NUM
ejpam-6149	72	16	4	4	NUM
ejpam-6149	72	17	of	of	ADP
ejpam-6149	72	18	28	28	NUM
ejpam-6149	72	19	missibility	missibility	NOUN
ejpam-6149	72	20	rates	rate	NOUN
ejpam-6149	72	21	for	for	ADP
ejpam-6149	72	22	single	single	ADJ
ejpam-6149	72	23	and	and	CCONJ
ejpam-6149	72	24	co	co	NOUN
ejpam-6149	72	25	-	-	NOUN
ejpam-6149	72	26	infections	infection	NOUN
ejpam-6149	72	27	are	be	AUX
ejpam-6149	72	28	the	the	DET
ejpam-6149	72	29	same	same	ADJ
ejpam-6149	72	30	[	[	X
ejpam-6149	72	31	14	14	NUM
ejpam-6149	72	32	]	]	X
ejpam-6149	72	33	;	;	PUNCT
ejpam-6149	72	34	and	and	CCONJ
ejpam-6149	72	35	recovered	recover	VERB
ejpam-6149	72	36	individuals	individual	NOUN
ejpam-6149	72	37	r	r	NOUN
ejpam-6149	72	38	acquire	acquire	VERB
ejpam-6149	72	39	lifelong	lifelong	ADJ
ejpam-6149	72	40	immunity	immunity	NOUN
ejpam-6149	72	41	to	to	ADP
ejpam-6149	72	42	both	both	DET
ejpam-6149	72	43	covid-19	covid-19	PROPN
ejpam-6149	72	44	and	and	CCONJ
ejpam-6149	72	45	tuberculosis	tuberculosis	NOUN
ejpam-6149	72	46	.	.	PUNCT
ejpam-6149	73	1	every	every	DET
ejpam-6149	73	2	individual	individual	NOUN
ejpam-6149	73	3	in	in	ADP
ejpam-6149	73	4	all	all	DET
ejpam-6149	73	5	compartments	compartment	NOUN
ejpam-6149	73	6	may	may	AUX
ejpam-6149	73	7	die	die	VERB
ejpam-6149	73	8	naturally	naturally	ADV
ejpam-6149	73	9	at	at	ADP
ejpam-6149	73	10	a	a	DET
ejpam-6149	73	11	rate	rate	NOUN
ejpam-6149	73	12	µ.	µ.	NOUN
ejpam-6149	73	13	more	more	ADV
ejpam-6149	73	14	specifically	specifically	ADV
ejpam-6149	73	15	,	,	PUNCT
ejpam-6149	73	16	individuals	individual	NOUN
ejpam-6149	73	17	enter	enter	VERB
ejpam-6149	73	18	the	the	DET
ejpam-6149	73	19	susceptible	susceptible	ADJ
ejpam-6149	73	20	compartment	compartment	NOUN
ejpam-6149	73	21	at	at	ADP
ejpam-6149	73	22	a	a	DET
ejpam-6149	73	23	recruitment	recruitment	NOUN
ejpam-6149	73	24	rate	rate	NOUN
ejpam-6149	73	25	ω	ω	PROPN
ejpam-6149	73	26	;	;	PUNCT
ejpam-6149	73	27	upon	upon	SCONJ
ejpam-6149	73	28	exposure	exposure	NOUN
ejpam-6149	73	29	to	to	ADP
ejpam-6149	73	30	individuals	individual	NOUN
ejpam-6149	73	31	from	from	ADP
ejpam-6149	73	32	compartments	compartment	NOUN
ejpam-6149	73	33	ec	ec	PROPN
ejpam-6149	73	34	and	and	CCONJ
ejpam-6149	73	35	ic	ic	INTJ
ejpam-6149	73	36	,	,	PUNCT
ejpam-6149	73	37	they	they	PRON
ejpam-6149	73	38	transition	transition	VERB
ejpam-6149	73	39	to	to	PART
ejpam-6149	73	40	compartment	compartment	NOUN
ejpam-6149	73	41	ec	ec	PROPN
ejpam-6149	73	42	;	;	PUNCT
ejpam-6149	73	43	while	while	SCONJ
ejpam-6149	73	44	contact	contact	NOUN
ejpam-6149	73	45	with	with	ADP
ejpam-6149	73	46	individuals	individual	NOUN
ejpam-6149	73	47	from	from	ADP
ejpam-6149	73	48	compartment	compartment	NOUN
ejpam-6149	73	49	it	it	PRON
ejpam-6149	73	50	may	may	AUX
ejpam-6149	73	51	lead	lead	VERB
ejpam-6149	73	52	to	to	ADP
ejpam-6149	73	53	movement	movement	NOUN
ejpam-6149	73	54	to	to	PART
ejpam-6149	73	55	compartment	compartment	VERB
ejpam-6149	73	56	et	et	NOUN
ejpam-6149	73	57	.	.	PUNCT
ejpam-6149	74	1	within	within	ADP
ejpam-6149	74	2	compartment	compartment	NOUN
ejpam-6149	74	3	ec	ec	PROPN
ejpam-6149	74	4	,	,	PUNCT
ejpam-6149	74	5	individuals	individual	NOUN
ejpam-6149	74	6	may	may	AUX
ejpam-6149	74	7	progress	progress	VERB
ejpam-6149	74	8	to	to	PART
ejpam-6149	74	9	compartment	compartment	VERB
ejpam-6149	74	10	ic	ic	NOUN
ejpam-6149	74	11	at	at	ADP
ejpam-6149	74	12	a	a	DET
ejpam-6149	74	13	rate	rate	NOUN
ejpam-6149	74	14	rc	rc	NOUN
ejpam-6149	74	15	;	;	PUNCT
ejpam-6149	74	16	some	some	PRON
ejpam-6149	74	17	may	may	AUX
ejpam-6149	74	18	transition	transition	VERB
ejpam-6149	74	19	to	to	PART
ejpam-6149	74	20	compartment	compartment	VERB
ejpam-6149	74	21	ect	ect	ADV
ejpam-6149	74	22	upon	upon	SCONJ
ejpam-6149	74	23	exposure	exposure	NOUN
ejpam-6149	74	24	to	to	ADP
ejpam-6149	74	25	individuals	individual	NOUN
ejpam-6149	74	26	from	from	ADP
ejpam-6149	74	27	compartment	compartment	NOUN
ejpam-6149	74	28	it	it	PRON
ejpam-6149	74	29	;	;	PUNCT
ejpam-6149	74	30	or	or	CCONJ
ejpam-6149	74	31	some	some	PRON
ejpam-6149	74	32	may	may	AUX
ejpam-6149	74	33	move	move	VERB
ejpam-6149	74	34	to	to	AUX
ejpam-6149	74	35	compartment	compartment	NOUN
ejpam-6149	74	36	qc	qc	PROPN
ejpam-6149	74	37	at	at	ADP
ejpam-6149	74	38	a	a	DET
ejpam-6149	74	39	rate	rate	NOUN
ejpam-6149	74	40	δe	δe	NOUN
ejpam-6149	74	41	.	.	PUNCT
ejpam-6149	75	1	now	now	ADV
ejpam-6149	75	2	,	,	PUNCT
ejpam-6149	75	3	individuals	individual	NOUN
ejpam-6149	75	4	in	in	ADP
ejpam-6149	75	5	compartment	compartment	NOUN
ejpam-6149	75	6	ic	ic	PRON
ejpam-6149	75	7	may	may	AUX
ejpam-6149	75	8	die	die	VERB
ejpam-6149	75	9	due	due	ADP
ejpam-6149	75	10	to	to	ADP
ejpam-6149	75	11	covid-19	covid-19	PROPN
ejpam-6149	75	12	at	at	ADP
ejpam-6149	75	13	a	a	DET
ejpam-6149	75	14	rate	rate	NOUN
ejpam-6149	75	15	µ1	µ1	NOUN
ejpam-6149	75	16	;	;	PUNCT
ejpam-6149	75	17	and	and	CCONJ
ejpam-6149	75	18	some	some	PRON
ejpam-6149	75	19	may	may	AUX
ejpam-6149	75	20	move	move	VERB
ejpam-6149	75	21	to	to	AUX
ejpam-6149	75	22	compartment	compartment	NOUN
ejpam-6149	75	23	qc	qc	PROPN
ejpam-6149	75	24	at	at	ADP
ejpam-6149	75	25	rate	rate	NOUN
ejpam-6149	75	26	δc	δc	PROPN
ejpam-6149	75	27	.	.	PUNCT
ejpam-6149	76	1	individuals	individual	NOUN
ejpam-6149	76	2	in	in	ADP
ejpam-6149	76	3	compartment	compartment	NOUN
ejpam-6149	76	4	qc	qc	PROPN
ejpam-6149	76	5	may	may	AUX
ejpam-6149	76	6	recover	recover	VERB
ejpam-6149	76	7	from	from	ADP
ejpam-6149	76	8	covid-19	covid-19	PROPN
ejpam-6149	76	9	at	at	ADP
ejpam-6149	76	10	a	a	DET
ejpam-6149	76	11	rate	rate	NOUN
ejpam-6149	76	12	γc	γc	NOUN
ejpam-6149	76	13	;	;	PUNCT
ejpam-6149	76	14	and	and	CCONJ
ejpam-6149	76	15	some	some	PRON
ejpam-6149	76	16	may	may	AUX
ejpam-6149	76	17	die	die	VERB
ejpam-6149	76	18	due	due	ADP
ejpam-6149	76	19	to	to	ADP
ejpam-6149	76	20	covid-19	covid-19	PROPN
ejpam-6149	76	21	at	at	ADP
ejpam-6149	76	22	a	a	DET
ejpam-6149	76	23	rate	rate	NOUN
ejpam-6149	76	24	µ4	µ4	PROPN
ejpam-6149	76	25	.	.	PUNCT
ejpam-6149	77	1	once	once	ADV
ejpam-6149	77	2	in	in	ADP
ejpam-6149	77	3	compartment	compartment	NOUN
ejpam-6149	77	4	et	et	NOUN
ejpam-6149	77	5	,	,	PUNCT
ejpam-6149	77	6	individuals	individual	NOUN
ejpam-6149	77	7	may	may	AUX
ejpam-6149	77	8	move	move	VERB
ejpam-6149	77	9	to	to	PART
ejpam-6149	77	10	compartment	compartment	VERB
ejpam-6149	77	11	ect	ect	ADV
ejpam-6149	77	12	following	follow	VERB
ejpam-6149	77	13	contact	contact	NOUN
ejpam-6149	77	14	with	with	ADP
ejpam-6149	77	15	individuals	individual	NOUN
ejpam-6149	77	16	from	from	ADP
ejpam-6149	77	17	ec	ec	PROPN
ejpam-6149	77	18	and	and	CCONJ
ejpam-6149	77	19	ic	ic	INTJ
ejpam-6149	77	20	;	;	PUNCT
ejpam-6149	77	21	or	or	CCONJ
ejpam-6149	77	22	some	some	PRON
ejpam-6149	77	23	may	may	AUX
ejpam-6149	77	24	transfer	transfer	VERB
ejpam-6149	77	25	to	to	PART
ejpam-6149	77	26	compartment	compartment	VERB
ejpam-6149	77	27	it	it	PRON
ejpam-6149	77	28	at	at	ADP
ejpam-6149	77	29	a	a	DET
ejpam-6149	77	30	rate	rate	NOUN
ejpam-6149	77	31	rt	rt	PROPN
ejpam-6149	77	32	.	.	PUNCT
ejpam-6149	78	1	individuals	individual	NOUN
ejpam-6149	78	2	in	in	ADP
ejpam-6149	78	3	compartment	compartment	NOUN
ejpam-6149	78	4	it	it	PRON
ejpam-6149	78	5	may	may	AUX
ejpam-6149	78	6	move	move	VERB
ejpam-6149	78	7	to	to	PART
ejpam-6149	78	8	compartment	compartment	VERB
ejpam-6149	78	9	qt	qt	NOUN
ejpam-6149	78	10	at	at	ADP
ejpam-6149	78	11	a	a	DET
ejpam-6149	78	12	rate	rate	NOUN
ejpam-6149	78	13	δt	δt	NOUN
ejpam-6149	78	14	;	;	PUNCT
ejpam-6149	78	15	and	and	CCONJ
ejpam-6149	78	16	some	some	PRON
ejpam-6149	78	17	may	may	AUX
ejpam-6149	78	18	die	die	VERB
ejpam-6149	78	19	due	due	ADP
ejpam-6149	78	20	to	to	ADP
ejpam-6149	78	21	tuberculosis	tuberculosis	NOUN
ejpam-6149	78	22	at	at	ADP
ejpam-6149	78	23	a	a	DET
ejpam-6149	78	24	rate	rate	NOUN
ejpam-6149	78	25	µ3	µ3	NOUN
ejpam-6149	78	26	.	.	PUNCT
ejpam-6149	79	1	meanwhile	meanwhile	ADV
ejpam-6149	79	2	,	,	PUNCT
ejpam-6149	79	3	individuals	individual	NOUN
ejpam-6149	79	4	in	in	ADP
ejpam-6149	79	5	compartment	compartment	NOUN
ejpam-6149	79	6	qt	qt	NOUN
ejpam-6149	79	7	may	may	AUX
ejpam-6149	79	8	recover	recover	VERB
ejpam-6149	79	9	at	at	ADP
ejpam-6149	79	10	a	a	DET
ejpam-6149	79	11	rate	rate	NOUN
ejpam-6149	79	12	γt	γt	NOUN
ejpam-6149	79	13	;	;	PUNCT
ejpam-6149	79	14	and	and	CCONJ
ejpam-6149	79	15	some	some	PRON
ejpam-6149	79	16	may	may	AUX
ejpam-6149	79	17	die	die	VERB
ejpam-6149	79	18	due	due	ADP
ejpam-6149	79	19	to	to	ADP
ejpam-6149	79	20	tuberculosis	tuberculosis	NOUN
ejpam-6149	79	21	at	at	ADP
ejpam-6149	79	22	a	a	DET
ejpam-6149	79	23	rate	rate	NOUN
ejpam-6149	79	24	µ5	µ5	PROPN
ejpam-6149	79	25	.	.	PUNCT
ejpam-6149	80	1	individuals	individual	NOUN
ejpam-6149	80	2	in	in	ADP
ejpam-6149	80	3	ect	ect	NOUN
ejpam-6149	80	4	may	may	AUX
ejpam-6149	80	5	move	move	VERB
ejpam-6149	80	6	to	to	PART
ejpam-6149	80	7	compartment	compartment	VERB
ejpam-6149	80	8	ict	ict	NOUN
ejpam-6149	80	9	at	at	ADP
ejpam-6149	80	10	rate	rate	PROPN
ejpam-6149	80	11	r.	r.	PROPN
ejpam-6149	80	12	on	on	ADP
ejpam-6149	80	13	the	the	DET
ejpam-6149	80	14	other	other	ADJ
ejpam-6149	80	15	hand	hand	NOUN
ejpam-6149	80	16	,	,	PUNCT
ejpam-6149	80	17	individuals	individual	NOUN
ejpam-6149	80	18	in	in	ADP
ejpam-6149	80	19	qct	qct	PROPN
ejpam-6149	80	20	may	may	AUX
ejpam-6149	80	21	move	move	VERB
ejpam-6149	80	22	to	to	AUX
ejpam-6149	80	23	compartment	compartment	NOUN
ejpam-6149	80	24	qc	qc	PROPN
ejpam-6149	80	25	at	at	ADP
ejpam-6149	80	26	a	a	DET
ejpam-6149	80	27	rate	rate	NOUN
ejpam-6149	80	28	γct	γct	NOUN
ejpam-6149	80	29	;	;	PUNCT
ejpam-6149	80	30	some	some	PRON
ejpam-6149	80	31	may	may	AUX
ejpam-6149	80	32	move	move	VERB
ejpam-6149	80	33	to	to	PART
ejpam-6149	80	34	compartment	compartment	VERB
ejpam-6149	80	35	qt	qt	NOUN
ejpam-6149	80	36	at	at	ADP
ejpam-6149	80	37	a	a	DET
ejpam-6149	80	38	rate	rate	NOUN
ejpam-6149	80	39	γtc	γtc	NOUN
ejpam-6149	80	40	;	;	PUNCT
ejpam-6149	80	41	and	and	CCONJ
ejpam-6149	80	42	some	some	PRON
ejpam-6149	80	43	may	may	AUX
ejpam-6149	80	44	die	die	VERB
ejpam-6149	80	45	due	due	ADJ
ejpam-6149	80	46	to	to	ADP
ejpam-6149	80	47	co	co	NOUN
ejpam-6149	80	48	-	-	NOUN
ejpam-6149	80	49	infection	infection	NOUN
ejpam-6149	80	50	at	at	ADP
ejpam-6149	80	51	a	a	DET
ejpam-6149	80	52	rate	rate	NOUN
ejpam-6149	80	53	µ6	µ6	NOUN
ejpam-6149	80	54	.	.	PUNCT
ejpam-6149	81	1	based	base	VERB
ejpam-6149	81	2	on	on	ADP
ejpam-6149	81	3	the	the	DET
ejpam-6149	81	4	aforementioned	aforementioned	ADJ
ejpam-6149	81	5	assumptions	assumption	NOUN
ejpam-6149	81	6	,	,	PUNCT
ejpam-6149	81	7	figure	figure	VERB
ejpam-6149	81	8	1	1	NUM
ejpam-6149	81	9	presents	present	VERB
ejpam-6149	81	10	the	the	DET
ejpam-6149	81	11	mathematical	mathematical	ADJ
ejpam-6149	81	12	model	model	NOUN
ejpam-6149	81	13	depicting	depict	VERB
ejpam-6149	81	14	the	the	DET
ejpam-6149	81	15	transmission	transmission	NOUN
ejpam-6149	81	16	dynamics	dynamic	NOUN
ejpam-6149	81	17	of	of	ADP
ejpam-6149	81	18	covid-19	covid-19	PROPN
ejpam-6149	81	19	and	and	CCONJ
ejpam-6149	81	20	tuberculosis	tuberculosis	PRON
ejpam-6149	81	21	co	co	NOUN
ejpam-6149	81	22	-	-	NOUN
ejpam-6149	81	23	infection	infection	NOUN
ejpam-6149	81	24	.	.	PUNCT
ejpam-6149	82	1	figure	figure	NOUN
ejpam-6149	82	2	1	1	NUM
ejpam-6149	82	3	:	:	PUNCT
ejpam-6149	82	4	transmission	transmission	NOUN
ejpam-6149	82	5	dynamics	dynamic	NOUN
ejpam-6149	82	6	of	of	ADP
ejpam-6149	82	7	covid-19	covid-19	PROPN
ejpam-6149	82	8	and	and	CCONJ
ejpam-6149	82	9	tb	tb	ADP
ejpam-6149	82	10	co	co	ADJ
ejpam-6149	82	11	-	-	NOUN
ejpam-6149	82	12	infection	infection	NOUN
ejpam-6149	82	13	model	model	NOUN
ejpam-6149	82	14	the	the	DET
ejpam-6149	82	15	transmission	transmission	NOUN
ejpam-6149	82	16	dynamics	dynamic	NOUN
ejpam-6149	82	17	of	of	ADP
ejpam-6149	82	18	the	the	DET
ejpam-6149	82	19	covid-19	covid-19	PROPN
ejpam-6149	82	20	and	and	CCONJ
ejpam-6149	82	21	tuberculosis	tuberculosis	PRON
ejpam-6149	82	22	co	co	NOUN
ejpam-6149	82	23	-	-	NOUN
ejpam-6149	82	24	infection	infection	ADJ
ejpam-6149	82	25	model	model	NOUN
ejpam-6149	82	26	,	,	PUNCT
ejpam-6149	82	27	shown	show	VERB
ejpam-6149	82	28	in	in	ADP
ejpam-6149	82	29	figure	figure	NOUN
ejpam-6149	82	30	1	1	NUM
ejpam-6149	82	31	,	,	PUNCT
ejpam-6149	82	32	are	be	AUX
ejpam-6149	82	33	described	describe	VERB
ejpam-6149	82	34	by	by	ADP
ejpam-6149	82	35	the	the	DET
ejpam-6149	82	36	following	follow	VERB
ejpam-6149	82	37	system	system	NOUN
ejpam-6149	82	38	of	of	ADP
ejpam-6149	82	39	ordinary	ordinary	ADJ
ejpam-6149	82	40	differential	differential	ADJ
ejpam-6149	82	41	equations	equation	NOUN
ejpam-6149	82	42	.	.	PUNCT
ejpam-6149	83	1	j.	j.	PROPN
ejpam-6149	83	2	puebla	puebla	PROPN
ejpam-6149	83	3	,	,	PUNCT
ejpam-6149	83	4	jm	jm	PROPN
ejpam-6149	83	5	.	.	PROPN
ejpam-6149	83	6	macalalag	macalalag	PROPN
ejpam-6149	83	7	,	,	PUNCT
ejpam-6149	83	8	k.	k.	PROPN
ejpam-6149	83	9	pajaron	pajaron	PROPN
ejpam-6149	83	10	/	/	SYM
ejpam-6149	83	11	eur	eur	PROPN
ejpam-6149	83	12	.	.	PUNCT
ejpam-6149	84	1	j.	j.	PROPN
ejpam-6149	84	2	pure	pure	PROPN
ejpam-6149	84	3	appl	appl	PROPN
ejpam-6149	84	4	.	.	PROPN
ejpam-6149	84	5	math	math	PROPN
ejpam-6149	84	6	,	,	PUNCT
ejpam-6149	84	7	18	18	NUM
ejpam-6149	84	8	(	(	PUNCT
ejpam-6149	84	9	3	3	NUM
ejpam-6149	84	10	)	)	PUNCT
ejpam-6149	84	11	(	(	PUNCT
ejpam-6149	84	12	2025	2025	NUM
ejpam-6149	84	13	)	)	PUNCT
ejpam-6149	84	14	,	,	PUNCT
ejpam-6149	84	15	6149	6149	NUM
ejpam-6149	84	16	5	5	NUM
ejpam-6149	84	17	of	of	ADP
ejpam-6149	84	18	28	28	NUM
ejpam-6149	84	19			NOUN
ejpam-6149	84	20	ds	ds	NOUN
ejpam-6149	84	21	dt	dt	NOUN
ejpam-6149	84	22	=	=	SYM
ejpam-6149	84	23	ω	ω	PROPN
ejpam-6149	84	24	−	−	PROPN
ejpam-6149	85	1	βc(ec	βc(ec	NOUN
ejpam-6149	85	2	+	+	CCONJ
ejpam-6149	85	3	ic)s	ic)s	PROPN
ejpam-6149	85	4	−	−	PROPN
ejpam-6149	85	5	βtits	βtit	VERB
ejpam-6149	85	6	−	−	NOUN
ejpam-6149	85	7	µs	µs	NOUN
ejpam-6149	85	8	dec	dec	PROPN
ejpam-6149	85	9	dt	dt	PROPN
ejpam-6149	86	1	=	=	PUNCT
ejpam-6149	86	2	βc(ec	βc(ec	INTJ
ejpam-6149	86	3	+	+	CCONJ
ejpam-6149	86	4	ic)s	ic)s	PROPN
ejpam-6149	86	5	−	−	PROPN
ejpam-6149	86	6	αtβtitec	αtβtitec	ADJ
ejpam-6149	86	7	−	−	PROPN
ejpam-6149	86	8	(	(	PUNCT
ejpam-6149	86	9	rc	rc	PROPN
ejpam-6149	86	10	+	+	CCONJ
ejpam-6149	86	11	δe	δe	ADP
ejpam-6149	86	12	+	+	CCONJ
ejpam-6149	87	1	µ)ec	µ)ec	PROPN
ejpam-6149	87	2	dic	dic	ADJ
ejpam-6149	87	3	dt	dt	X
ejpam-6149	87	4	=	=	PUNCT
ejpam-6149	87	5	rcec	rcec	VERB
ejpam-6149	87	6	−	−	PROPN
ejpam-6149	87	7	(	(	PUNCT
ejpam-6149	87	8	δc	δc	NOUN
ejpam-6149	87	9	+	+	CCONJ
ejpam-6149	87	10	µ+	µ+	PRON
ejpam-6149	87	11	µ1)ic	µ1)ic	PROPN
ejpam-6149	87	12	dqc	dqc	NOUN
ejpam-6149	87	13	dt	dt	NOUN
ejpam-6149	87	14	=	=	PUNCT
ejpam-6149	88	1	δeec	δeec	ADJ
ejpam-6149	88	2	+	+	CCONJ
ejpam-6149	88	3	δcic	δcic	NOUN
ejpam-6149	88	4	+	+	CCONJ
ejpam-6149	88	5	γctqct	γctqct	NOUN
ejpam-6149	88	6	−	−	PROPN
ejpam-6149	88	7	(	(	PUNCT
ejpam-6149	88	8	γc	γc	PROPN
ejpam-6149	88	9	+	+	CCONJ
ejpam-6149	88	10	µ+	µ+	PUNCT
ejpam-6149	88	11	µ4)qc	µ4)qc	ADJ
ejpam-6149	88	12	dect	dect	NOUN
ejpam-6149	88	13	dt	dt	NOUN
ejpam-6149	89	1	=	=	PUNCT
ejpam-6149	89	2	αtβtitec	αtβtitec	NOUN
ejpam-6149	89	3	+	+	CCONJ
ejpam-6149	89	4	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	89	5	+	+	CCONJ
ejpam-6149	89	6	ic)et	ic)et	NUM
ejpam-6149	89	7	−	−	PROPN
ejpam-6149	89	8	(	(	PUNCT
ejpam-6149	89	9	rct	rct	PROPN
ejpam-6149	89	10	+	+	CCONJ
ejpam-6149	89	11	µ)ect	µ)ect	PROPN
ejpam-6149	89	12	dict	dict	NOUN
ejpam-6149	89	13	dt	dt	X
ejpam-6149	89	14	=	=	PUNCT
ejpam-6149	89	15	rctect	rctect	NOUN
ejpam-6149	89	16	−	−	PROPN
ejpam-6149	89	17	(	(	PUNCT
ejpam-6149	89	18	δct	δct	NOUN
ejpam-6149	89	19	+	+	CCONJ
ejpam-6149	89	20	µ+	µ+	DET
ejpam-6149	89	21	µ3)ict	µ3)ict	PROPN
ejpam-6149	89	22	dqct	dqct	NOUN
ejpam-6149	89	23	dt	dt	NOUN
ejpam-6149	90	1	=	=	PUNCT
ejpam-6149	90	2	δctict	δctict	PROPN
ejpam-6149	90	3	−	−	PROPN
ejpam-6149	90	4	(	(	PUNCT
ejpam-6149	90	5	γtc	γtc	VERB
ejpam-6149	90	6	+	+	CCONJ
ejpam-6149	90	7	γct	γct	PRON
ejpam-6149	90	8	+	+	CCONJ
ejpam-6149	90	9	µ+	µ+	PUNCT
ejpam-6149	90	10	µ6)qct	µ6)qct	PROPN
ejpam-6149	90	11	det	det	PROPN
ejpam-6149	90	12	dt	dt	PROPN
ejpam-6149	90	13	=	=	PROPN
ejpam-6149	90	14	βtits	βtit	VERB
ejpam-6149	90	15	−	−	PROPN
ejpam-6149	90	16	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	90	17	+	+	CCONJ
ejpam-6149	90	18	ic)et	ic)et	NUM
ejpam-6149	90	19	−	−	PROPN
ejpam-6149	90	20	(	(	PUNCT
ejpam-6149	90	21	rt	rt	PROPN
ejpam-6149	90	22	+	+	PUNCT
ejpam-6149	91	1	µ)et	µ)et	PROPN
ejpam-6149	91	2	dit	dit	NOUN
ejpam-6149	91	3	dt	dt	NOUN
ejpam-6149	91	4	=	=	PUNCT
ejpam-6149	91	5	rtet	rtet	NOUN
ejpam-6149	91	6	−	−	PROPN
ejpam-6149	91	7	(	(	PUNCT
ejpam-6149	91	8	δt	δt	X
ejpam-6149	91	9	+	+	CCONJ
ejpam-6149	91	10	µ+	µ+	X
ejpam-6149	91	11	µ2)it	µ2)it	PROPN
ejpam-6149	91	12	,	,	PUNCT
ejpam-6149	91	13	dqt	dqt	NOUN
ejpam-6149	91	14	dt	dt	NOUN
ejpam-6149	91	15	=	=	SYM
ejpam-6149	91	16	δtit	δtit	NOUN
ejpam-6149	91	17	+	+	CCONJ
ejpam-6149	91	18	γtcqct	γtcqct	NOUN
ejpam-6149	91	19	−	−	PROPN
ejpam-6149	91	20	(	(	PUNCT
ejpam-6149	91	21	γt	γt	NOUN
ejpam-6149	91	22	+	+	CCONJ
ejpam-6149	91	23	µ+	µ+	PROPN
ejpam-6149	91	24	µ5)qt	µ5)qt	PROPN
ejpam-6149	91	25	dr	dr	PROPN
ejpam-6149	91	26	dt	dt	PROPN
ejpam-6149	91	27	=	=	SYM
ejpam-6149	91	28	γcqc	γcqc	PROPN
ejpam-6149	92	1	+	+	CCONJ
ejpam-6149	92	2	γtqt	γtqt	ADJ
ejpam-6149	92	3	−	−	NOUN
ejpam-6149	92	4	µr	µr	ADP
ejpam-6149	92	5	.	.	PUNCT
ejpam-6149	93	1	(	(	PUNCT
ejpam-6149	93	2	1	1	X
ejpam-6149	93	3	)	)	PUNCT
ejpam-6149	93	4	parameter	parameter	NOUN
ejpam-6149	93	5	description	description	NOUN
ejpam-6149	93	6	value	value	NOUN
ejpam-6149	93	7	source	source	NOUN
ejpam-6149	93	8	ω	ω	NUM
ejpam-6149	93	9	recruitment	recruitment	NOUN
ejpam-6149	93	10	rate	rate	NOUN
ejpam-6149	93	11	[	[	X
ejpam-6149	93	12	2,4	2,4	X
ejpam-6149	93	13	]	]	X
ejpam-6149	93	14	day−1	day−1	PROPN
ejpam-6149	93	15	assumed	assume	VERB
ejpam-6149	93	16	βc	βc	ADP
ejpam-6149	93	17	effective	effective	ADJ
ejpam-6149	93	18	contact	contact	NOUN
ejpam-6149	93	19	rate	rate	NOUN
ejpam-6149	93	20	transmission	transmission	NOUN
ejpam-6149	93	21	of	of	ADP
ejpam-6149	93	22	covid-19	covid-19	PROPN
ejpam-6149	93	23	0.015	0.015	NUM
ejpam-6149	93	24	assumed	assume	VERB
ejpam-6149	93	25	βt	βt	ADP
ejpam-6149	93	26	effective	effective	ADJ
ejpam-6149	93	27	contact	contact	NOUN
ejpam-6149	93	28	rate	rate	NOUN
ejpam-6149	93	29	transmission	transmission	NOUN
ejpam-6149	93	30	of	of	ADP
ejpam-6149	93	31	tuberculosis	tuberculosis	NOUN
ejpam-6149	93	32	0.012	0.012	NUM
ejpam-6149	93	33	assumed	assume	VERB
ejpam-6149	93	34	αc	αc	ADP
ejpam-6149	93	35	covid-19	covid-19	PROPN
ejpam-6149	93	36	co	co	NOUN
ejpam-6149	93	37	-	-	NOUN
ejpam-6149	93	38	infection	infection	NOUN
ejpam-6149	93	39	rate	rate	NOUN
ejpam-6149	93	40	from	from	ADP
ejpam-6149	93	41	tb	tb	ADP
ejpam-6149	93	42	exposure	exposure	NOUN
ejpam-6149	93	43	1	1	NUM
ejpam-6149	94	1	day−1	day−1	PROPN
ejpam-6149	95	1	[	[	X
ejpam-6149	95	2	14	14	NUM
ejpam-6149	95	3	]	]	SYM
ejpam-6149	95	4	αt	αt	NOUN
ejpam-6149	95	5	tuberculosis	tuberculosis	NUM
ejpam-6149	95	6	co	co	NOUN
ejpam-6149	95	7	-	-	NOUN
ejpam-6149	95	8	infection	infection	ADJ
ejpam-6149	95	9	rate	rate	NOUN
ejpam-6149	95	10	from	from	ADP
ejpam-6149	95	11	covid-19	covid-19	PROPN
ejpam-6149	95	12	exposure	exposure	NOUN
ejpam-6149	96	1	1	1	NUM
ejpam-6149	96	2	day−1	day−1	PROPN
ejpam-6149	97	1	[	[	X
ejpam-6149	97	2	14	14	NUM
ejpam-6149	97	3	]	]	X
ejpam-6149	97	4	rc	rc	PROPN
ejpam-6149	97	5	progression	progression	NOUN
ejpam-6149	97	6	rate	rate	NOUN
ejpam-6149	97	7	from	from	ADP
ejpam-6149	97	8	asymptomatic	asymptomatic	ADJ
ejpam-6149	97	9	to	to	ADP
ejpam-6149	97	10	symptomatic	symptomatic	ADJ
ejpam-6149	97	11	covid-19	covid-19	PROPN
ejpam-6149	97	12	0.33	0.33	NUM
ejpam-6149	97	13	day−1	day−1	PROPN
ejpam-6149	98	1	[	[	X
ejpam-6149	98	2	23	23	NUM
ejpam-6149	98	3	]	]	X
ejpam-6149	98	4	rt	rt	NOUN
ejpam-6149	98	5	progression	progression	NOUN
ejpam-6149	98	6	rate	rate	NOUN
ejpam-6149	98	7	from	from	ADP
ejpam-6149	98	8	asymptomatic	asymptomatic	ADJ
ejpam-6149	98	9	to	to	ADP
ejpam-6149	98	10	symptomatic	symptomatic	ADJ
ejpam-6149	98	11	tuberculosis	tuberculosis	NOUN
ejpam-6149	98	12	0.7	0.7	NUM
ejpam-6149	98	13	day−1	day−1	PROPN
ejpam-6149	98	14	assumed	assume	VERB
ejpam-6149	98	15	rct	rct	PROPN
ejpam-6149	98	16	progression	progression	NOUN
ejpam-6149	98	17	rate	rate	NOUN
ejpam-6149	98	18	from	from	ADP
ejpam-6149	98	19	asymptomatic	asymptomatic	ADJ
ejpam-6149	98	20	to	to	ADP
ejpam-6149	98	21	symptomatic	symptomatic	ADJ
ejpam-6149	98	22	co	co	NOUN
ejpam-6149	98	23	-	-	NOUN
ejpam-6149	98	24	infection	infection	NOUN
ejpam-6149	98	25	0.02	0.02	NUM
ejpam-6149	98	26	day−1	day−1	PROPN
ejpam-6149	99	1	[	[	X
ejpam-6149	99	2	23	23	NUM
ejpam-6149	99	3	]	]	X
ejpam-6149	99	4	δe	δe	X
ejpam-6149	99	5	rate	rate	NOUN
ejpam-6149	99	6	at	at	ADP
ejpam-6149	99	7	which	which	PRON
ejpam-6149	99	8	exposed	expose	VERB
ejpam-6149	99	9	individuals	individual	NOUN
ejpam-6149	99	10	are	be	AUX
ejpam-6149	99	11	isolated	isolate	VERB
ejpam-6149	99	12	in	in	ADP
ejpam-6149	99	13	covid-19	covid-19	PROPN
ejpam-6149	99	14	quarantine	quarantine	NOUN
ejpam-6149	99	15	[	[	X
ejpam-6149	99	16	0,1	0,1	NUM
ejpam-6149	99	17	)	)	PUNCT
ejpam-6149	100	1	day−1	day−1	PROPN
ejpam-6149	100	2	assumed	assume	VERB
ejpam-6149	100	3	δc	δc	ADP
ejpam-6149	100	4	rate	rate	NOUN
ejpam-6149	100	5	at	at	ADP
ejpam-6149	100	6	which	which	PRON
ejpam-6149	100	7	infected	infect	VERB
ejpam-6149	100	8	individuals	individual	NOUN
ejpam-6149	100	9	are	be	AUX
ejpam-6149	100	10	isolated	isolate	VERB
ejpam-6149	100	11	in	in	ADP
ejpam-6149	100	12	covid-19	covid-19	PROPN
ejpam-6149	100	13	quarantine	quarantine	NOUN
ejpam-6149	100	14	[	[	X
ejpam-6149	100	15	0,1	0,1	NUM
ejpam-6149	100	16	)	)	PUNCT
ejpam-6149	101	1	day−1	day−1	PROPN
ejpam-6149	101	2	assumed	assume	VERB
ejpam-6149	101	3	δt	δt	ADP
ejpam-6149	101	4	rate	rate	NOUN
ejpam-6149	101	5	at	at	ADP
ejpam-6149	101	6	which	which	PRON
ejpam-6149	101	7	infected	infect	VERB
ejpam-6149	101	8	individuals	individual	NOUN
ejpam-6149	101	9	are	be	AUX
ejpam-6149	101	10	isolated	isolate	VERB
ejpam-6149	101	11	in	in	ADP
ejpam-6149	101	12	tb	tb	ADP
ejpam-6149	101	13	quarantine	quarantine	NOUN
ejpam-6149	101	14	[	[	X
ejpam-6149	101	15	0,1	0,1	NUM
ejpam-6149	101	16	)	)	PUNCT
ejpam-6149	101	17	day−1	day−1	NOUN
ejpam-6149	101	18	assumed	assume	VERB
ejpam-6149	101	19	δct	δct	NOUN
ejpam-6149	101	20	rate	rate	NOUN
ejpam-6149	101	21	at	at	ADP
ejpam-6149	101	22	which	which	PRON
ejpam-6149	101	23	co	co	VERB
ejpam-6149	101	24	-	-	ADJ
ejpam-6149	101	25	infected	infected	ADJ
ejpam-6149	101	26	individuals	individual	NOUN
ejpam-6149	101	27	are	be	AUX
ejpam-6149	101	28	isolated	isolate	VERB
ejpam-6149	101	29	in	in	ADP
ejpam-6149	101	30	co	co	ADJ
ejpam-6149	101	31	-	-	ADJ
ejpam-6149	101	32	infected	infected	ADJ
ejpam-6149	101	33	quarantine	quarantine	NOUN
ejpam-6149	101	34	0.79	0.79	NUM
ejpam-6149	101	35	day−1	day−1	PROPN
ejpam-6149	101	36	assumed	assume	VERB
ejpam-6149	101	37	γct	γct	ADJ
ejpam-6149	101	38	recovery	recovery	NOUN
ejpam-6149	101	39	rate	rate	NOUN
ejpam-6149	101	40	of	of	ADP
ejpam-6149	101	41	covid-19	covid-19	PROPN
ejpam-6149	101	42	from	from	ADP
ejpam-6149	101	43	co	co	NOUN
ejpam-6149	101	44	-	-	NOUN
ejpam-6149	101	45	infection	infection	NOUN
ejpam-6149	101	46	0.68	0.68	NUM
ejpam-6149	101	47	day−1	day−1	PROPN
ejpam-6149	101	48	assumed	assume	VERB
ejpam-6149	101	49	γtc	γtc	NOUN
ejpam-6149	101	50	recovery	recovery	NOUN
ejpam-6149	101	51	rate	rate	NOUN
ejpam-6149	101	52	of	of	ADP
ejpam-6149	101	53	tb	tb	NOUN
ejpam-6149	101	54	from	from	ADP
ejpam-6149	101	55	co	co	NOUN
ejpam-6149	101	56	-	-	NOUN
ejpam-6149	101	57	infection	infection	NOUN
ejpam-6149	101	58	0.35	0.35	NUM
ejpam-6149	101	59	day−1	day−1	PROPN
ejpam-6149	101	60	assumed	assume	VERB
ejpam-6149	101	61	γc	γc	PROPN
ejpam-6149	101	62	recovery	recovery	NOUN
ejpam-6149	101	63	rate	rate	NOUN
ejpam-6149	101	64	from	from	ADP
ejpam-6149	101	65	covid-19	covid-19	PROPN
ejpam-6149	101	66	infection	infection	NOUN
ejpam-6149	101	67	0.3	0.3	NUM
ejpam-6149	101	68	day−1	day−1	PROPN
ejpam-6149	102	1	[	[	X
ejpam-6149	102	2	17	17	NUM
ejpam-6149	102	3	]	]	SYM
ejpam-6149	102	4	γt	γt	NOUN
ejpam-6149	102	5	recovery	recovery	NOUN
ejpam-6149	102	6	rate	rate	NOUN
ejpam-6149	102	7	from	from	ADP
ejpam-6149	102	8	tuberculosis	tuberculosis	NOUN
ejpam-6149	102	9	infection	infection	NOUN
ejpam-6149	102	10	0.2	0.2	NUM
ejpam-6149	103	1	day−1	day−1	PROPN
ejpam-6149	104	1	[	[	X
ejpam-6149	104	2	17	17	NUM
ejpam-6149	104	3	]	]	SYM
ejpam-6149	104	4	µ	µ	PRON
ejpam-6149	104	5	natural	natural	ADJ
ejpam-6149	104	6	death	death	NOUN
ejpam-6149	104	7	rate	rate	NOUN
ejpam-6149	104	8	0.0477	0.0477	NUM
ejpam-6149	105	1	day−1	day−1	PROPN
ejpam-6149	106	1	[	[	X
ejpam-6149	106	2	23	23	NUM
ejpam-6149	106	3	]	]	SYM
ejpam-6149	106	4	µ1	µ1	NOUN
ejpam-6149	106	5	death	death	NOUN
ejpam-6149	106	6	rate	rate	NOUN
ejpam-6149	106	7	of	of	ADP
ejpam-6149	106	8	covid-19	covid-19	PROPN
ejpam-6149	106	9	infected	infect	VERB
ejpam-6149	106	10	individuals	individual	NOUN
ejpam-6149	106	11	0.23	0.23	NUM
ejpam-6149	107	1	day−1	day−1	PROPN
ejpam-6149	108	1	[	[	X
ejpam-6149	108	2	23	23	NUM
ejpam-6149	108	3	]	]	X
ejpam-6149	108	4	µ2	µ2	PROPN
ejpam-6149	108	5	death	death	NOUN
ejpam-6149	108	6	rate	rate	NOUN
ejpam-6149	108	7	of	of	ADP
ejpam-6149	108	8	tuberculosis	tuberculosis	NOUN
ejpam-6149	108	9	infected	infect	VERB
ejpam-6149	108	10	individuals	individual	NOUN
ejpam-6149	108	11	0.01	0.01	NUM
ejpam-6149	109	1	day−1	day−1	PROPN
ejpam-6149	110	1	[	[	X
ejpam-6149	110	2	23	23	NUM
ejpam-6149	110	3	]	]	PUNCT
ejpam-6149	110	4	µ3	µ3	NOUN
ejpam-6149	110	5	death	death	NOUN
ejpam-6149	110	6	rate	rate	NOUN
ejpam-6149	110	7	of	of	ADP
ejpam-6149	110	8	co	co	ADJ
ejpam-6149	110	9	-	-	ADJ
ejpam-6149	110	10	infected	infected	ADJ
ejpam-6149	110	11	individuals	individual	NOUN
ejpam-6149	110	12	0.03	0.03	NUM
ejpam-6149	110	13	day−1	day−1	PROPN
ejpam-6149	111	1	[	[	X
ejpam-6149	111	2	17	17	NUM
ejpam-6149	111	3	]	]	X
ejpam-6149	111	4	µ4	µ4	PROPN
ejpam-6149	111	5	death	death	NOUN
ejpam-6149	111	6	rate	rate	NOUN
ejpam-6149	111	7	of	of	ADP
ejpam-6149	111	8	covid-19	covid-19	PROPN
ejpam-6149	111	9	infected	infect	VERB
ejpam-6149	111	10	individuals	individual	NOUN
ejpam-6149	111	11	in	in	ADP
ejpam-6149	111	12	quarantine	quarantine	NOUN
ejpam-6149	111	13	0.23	0.23	NUM
ejpam-6149	112	1	day−1	day−1	PROPN
ejpam-6149	113	1	[	[	X
ejpam-6149	113	2	23	23	NUM
ejpam-6149	113	3	]	]	PUNCT
ejpam-6149	113	4	µ5	µ5	PROPN
ejpam-6149	113	5	death	death	NOUN
ejpam-6149	113	6	rate	rate	NOUN
ejpam-6149	113	7	of	of	ADP
ejpam-6149	113	8	tuberculosis	tuberculosis	NOUN
ejpam-6149	113	9	infected	infect	VERB
ejpam-6149	113	10	individuals	individual	NOUN
ejpam-6149	113	11	in	in	ADP
ejpam-6149	113	12	quarantine	quarantine	NOUN
ejpam-6149	113	13	0.004	0.004	NUM
ejpam-6149	114	1	day−1	day−1	PROPN
ejpam-6149	115	1	[	[	X
ejpam-6149	115	2	17	17	NUM
ejpam-6149	115	3	]	]	PUNCT
ejpam-6149	115	4	µ6	µ6	NOUN
ejpam-6149	115	5	death	death	NOUN
ejpam-6149	115	6	rate	rate	NOUN
ejpam-6149	115	7	of	of	ADP
ejpam-6149	115	8	co	co	ADJ
ejpam-6149	115	9	-	-	ADJ
ejpam-6149	115	10	infected	infected	ADJ
ejpam-6149	115	11	individuals	individual	NOUN
ejpam-6149	115	12	in	in	ADP
ejpam-6149	115	13	quarantine	quarantine	NOUN
ejpam-6149	115	14	0.03	0.03	NUM
ejpam-6149	116	1	day−1	day−1	PROPN
ejpam-6149	117	1	[	[	X
ejpam-6149	117	2	17	17	NUM
ejpam-6149	117	3	]	]	PUNCT
ejpam-6149	117	4	table	table	NOUN
ejpam-6149	117	5	1	1	NUM
ejpam-6149	117	6	:	:	PUNCT
ejpam-6149	117	7	description	description	NOUN
ejpam-6149	117	8	of	of	ADP
ejpam-6149	117	9	the	the	DET
ejpam-6149	117	10	model	model	NOUN
ejpam-6149	117	11	parameters	parameter	NOUN
ejpam-6149	117	12	j.	j.	PROPN
ejpam-6149	117	13	puebla	puebla	PROPN
ejpam-6149	117	14	,	,	PUNCT
ejpam-6149	117	15	jm	jm	PROPN
ejpam-6149	117	16	.	.	PROPN
ejpam-6149	117	17	macalalag	macalalag	PROPN
ejpam-6149	117	18	,	,	PUNCT
ejpam-6149	117	19	k.	k.	PROPN
ejpam-6149	117	20	pajaron	pajaron	PROPN
ejpam-6149	117	21	/	/	SYM
ejpam-6149	117	22	eur	eur	PROPN
ejpam-6149	117	23	.	.	PUNCT
ejpam-6149	118	1	j.	j.	PROPN
ejpam-6149	118	2	pure	pure	PROPN
ejpam-6149	118	3	appl	appl	PROPN
ejpam-6149	118	4	.	.	PROPN
ejpam-6149	118	5	math	math	PROPN
ejpam-6149	118	6	,	,	PUNCT
ejpam-6149	118	7	18	18	NUM
ejpam-6149	118	8	(	(	PUNCT
ejpam-6149	118	9	3	3	NUM
ejpam-6149	118	10	)	)	PUNCT
ejpam-6149	118	11	(	(	PUNCT
ejpam-6149	118	12	2025	2025	NUM
ejpam-6149	118	13	)	)	PUNCT
ejpam-6149	118	14	,	,	PUNCT
ejpam-6149	118	15	6149	6149	NUM
ejpam-6149	118	16	6	6	NUM
ejpam-6149	118	17	of	of	ADP
ejpam-6149	118	18	28	28	NUM
ejpam-6149	118	19	system	system	NOUN
ejpam-6149	118	20	(	(	PUNCT
ejpam-6149	118	21	1	1	X
ejpam-6149	118	22	)	)	PUNCT
ejpam-6149	118	23	is	be	AUX
ejpam-6149	118	24	defined	define	VERB
ejpam-6149	118	25	with	with	ADP
ejpam-6149	118	26	the	the	DET
ejpam-6149	118	27	following	follow	VERB
ejpam-6149	118	28	initial	initial	ADJ
ejpam-6149	118	29	conditions	condition	NOUN
ejpam-6149	118	30	s(0	s(0	PROPN
ejpam-6149	118	31	)	)	PUNCT
ejpam-6149	118	32	≥	≥	NOUN
ejpam-6149	118	33	0	0	NUM
ejpam-6149	118	34	,	,	PUNCT
ejpam-6149	118	35	ec(0	ec(0	PROPN
ejpam-6149	118	36	)	)	PUNCT
ejpam-6149	118	37	≥	≥	NOUN
ejpam-6149	118	38	0	0	NUM
ejpam-6149	118	39	,	,	PUNCT
ejpam-6149	118	40	ic(0	ic(0	PROPN
ejpam-6149	118	41	)	)	PUNCT
ejpam-6149	118	42	≥	≥	NOUN
ejpam-6149	118	43	0	0	NUM
ejpam-6149	118	44	,	,	PUNCT
ejpam-6149	118	45	qc(0	qc(0	PROPN
ejpam-6149	118	46	)	)	PUNCT
ejpam-6149	118	47	≥	≥	NOUN
ejpam-6149	118	48	0	0	NUM
ejpam-6149	118	49	,	,	PUNCT
ejpam-6149	118	50	ect	ect	X
ejpam-6149	118	51	(	(	PUNCT
ejpam-6149	118	52	0	0	NUM
ejpam-6149	118	53	)	)	PUNCT
ejpam-6149	118	54	≥	≥	NOUN
ejpam-6149	118	55	0	0	NUM
ejpam-6149	118	56	,	,	PUNCT
ejpam-6149	118	57	ict	ict	NOUN
ejpam-6149	118	58	(	(	PUNCT
ejpam-6149	118	59	0	0	NUM
ejpam-6149	118	60	)	)	PUNCT
ejpam-6149	118	61	≥	≥	NOUN
ejpam-6149	118	62	0	0	NUM
ejpam-6149	118	63	,	,	PUNCT
ejpam-6149	118	64	qct	qct	NOUN
ejpam-6149	118	65	(	(	PUNCT
ejpam-6149	118	66	0	0	NUM
ejpam-6149	118	67	)	)	PUNCT
ejpam-6149	118	68	≥	≥	NOUN
ejpam-6149	118	69	0	0	NUM
ejpam-6149	118	70	,	,	PUNCT
ejpam-6149	118	71	et	et	PROPN
ejpam-6149	118	72	(	(	PUNCT
ejpam-6149	118	73	0	0	NUM
ejpam-6149	118	74	)	)	PUNCT
ejpam-6149	118	75	≥	≥	NOUN
ejpam-6149	118	76	0	0	NUM
ejpam-6149	118	77	,	,	PUNCT
ejpam-6149	118	78	it	it	PRON
ejpam-6149	118	79	(	(	PUNCT
ejpam-6149	118	80	0	0	NUM
ejpam-6149	118	81	)	)	PUNCT
ejpam-6149	118	82	≥	≥	NOUN
ejpam-6149	118	83	0	0	NUM
ejpam-6149	118	84	,	,	PUNCT
ejpam-6149	118	85	qt	qt	NOUN
ejpam-6149	118	86	(	(	PUNCT
ejpam-6149	118	87	0	0	NUM
ejpam-6149	118	88	)	)	PUNCT
ejpam-6149	118	89	≥	≥	NOUN
ejpam-6149	118	90	0	0	NUM
ejpam-6149	118	91	,	,	PUNCT
ejpam-6149	118	92	and	and	CCONJ
ejpam-6149	118	93	r(0	r(0	PROPN
ejpam-6149	118	94	)	)	PUNCT
ejpam-6149	118	95	≥	≥	NOUN
ejpam-6149	118	96	0	0	NUM
ejpam-6149	118	97	.	.	PUNCT
ejpam-6149	119	1	all	all	DET
ejpam-6149	119	2	parameters	parameter	NOUN
ejpam-6149	119	3	in	in	ADP
ejpam-6149	119	4	system	system	NOUN
ejpam-6149	119	5	(	(	PUNCT
ejpam-6149	119	6	1	1	X
ejpam-6149	119	7	)	)	PUNCT
ejpam-6149	119	8	are	be	AUX
ejpam-6149	119	9	described	describe	VERB
ejpam-6149	119	10	in	in	ADP
ejpam-6149	119	11	table	table	NOUN
ejpam-6149	119	12	1	1	NUM
ejpam-6149	119	13	.	.	SYM
ejpam-6149	119	14	3	3	X
ejpam-6149	119	15	.	.	NOUN
ejpam-6149	119	16	model	model	NOUN
ejpam-6149	119	17	analysis	analysis	NOUN
ejpam-6149	119	18	this	this	DET
ejpam-6149	119	19	section	section	NOUN
ejpam-6149	119	20	examines	examine	VERB
ejpam-6149	119	21	the	the	DET
ejpam-6149	119	22	analysis	analysis	NOUN
ejpam-6149	119	23	of	of	ADP
ejpam-6149	119	24	three	three	NUM
ejpam-6149	119	25	models	model	NOUN
ejpam-6149	119	26	:	:	PUNCT
ejpam-6149	119	27	the	the	DET
ejpam-6149	119	28	covid-19	covid-19	PROPN
ejpam-6149	119	29	sub	sub	NOUN
ejpam-6149	119	30	-	-	NOUN
ejpam-6149	119	31	model	model	NOUN
ejpam-6149	119	32	,	,	PUNCT
ejpam-6149	119	33	the	the	DET
ejpam-6149	119	34	tuberculosis	tuberculosis	NOUN
ejpam-6149	119	35	sub	sub	NOUN
ejpam-6149	119	36	-	-	NOUN
ejpam-6149	119	37	model	model	NOUN
ejpam-6149	119	38	,	,	PUNCT
ejpam-6149	119	39	and	and	CCONJ
ejpam-6149	119	40	the	the	DET
ejpam-6149	119	41	co	co	ADJ
ejpam-6149	119	42	-	-	NOUN
ejpam-6149	119	43	infection	infection	NOUN
ejpam-6149	119	44	model	model	NOUN
ejpam-6149	119	45	.	.	PUNCT
ejpam-6149	120	1	3.1	3.1	NUM
ejpam-6149	120	2	.	.	PUNCT
ejpam-6149	121	1	covid-19	covid-19	PROPN
ejpam-6149	121	2	sub	sub	NOUN
ejpam-6149	121	3	-	-	NOUN
ejpam-6149	121	4	model	model	NOUN
ejpam-6149	121	5	without	without	ADP
ejpam-6149	121	6	considering	consider	VERB
ejpam-6149	121	7	tuberculosis	tuberculosis	NOUN
ejpam-6149	121	8	-	-	PUNCT
ejpam-6149	121	9	infected	infect	VERB
ejpam-6149	121	10	individuals	individual	NOUN
ejpam-6149	121	11	from	from	ADP
ejpam-6149	121	12	the	the	DET
ejpam-6149	121	13	co	co	NOUN
ejpam-6149	121	14	-	-	NOUN
ejpam-6149	121	15	infection	infection	NOUN
ejpam-6149	121	16	model	model	NOUN
ejpam-6149	121	17	,	,	PUNCT
ejpam-6149	122	1	the	the	DET
ejpam-6149	122	2	covid-19	covid-19	PROPN
ejpam-6149	122	3	sub	sub	NOUN
ejpam-6149	122	4	-	-	NOUN
ejpam-6149	122	5	model	model	NOUN
ejpam-6149	122	6	is	be	AUX
ejpam-6149	122	7	given	give	VERB
ejpam-6149	122	8	by	by	PUNCT
ejpam-6149	122	9	ds	ds	ADJ
ejpam-6149	122	10	dt	dt	NOUN
ejpam-6149	122	11	=	=	SYM
ejpam-6149	122	12	ω	ω	PROPN
ejpam-6149	122	13	−	−	PROPN
ejpam-6149	123	1	βc(ec	βc(ec	NOUN
ejpam-6149	123	2	+	+	CCONJ
ejpam-6149	123	3	ic)s	ic)s	PROPN
ejpam-6149	123	4	−	−	PROPN
ejpam-6149	123	5	µs	µs	ADP
ejpam-6149	123	6	dec	dec	PROPN
ejpam-6149	123	7	dt	dt	PROPN
ejpam-6149	124	1	=	=	PUNCT
ejpam-6149	124	2	βc(ec	βc(ec	INTJ
ejpam-6149	124	3	+	+	CCONJ
ejpam-6149	124	4	ic)s	ic)s	PROPN
ejpam-6149	124	5	−	−	PROPN
ejpam-6149	124	6	(	(	PUNCT
ejpam-6149	124	7	rc	rc	PROPN
ejpam-6149	124	8	+	+	CCONJ
ejpam-6149	124	9	δe	δe	ADP
ejpam-6149	124	10	+	+	CCONJ
ejpam-6149	124	11	µ)ec	µ)ec	PROPN
ejpam-6149	124	12	dic	dic	ADJ
ejpam-6149	124	13	dt	dt	X
ejpam-6149	124	14	=	=	PUNCT
ejpam-6149	124	15	rcec	rcec	VERB
ejpam-6149	124	16	−	−	PROPN
ejpam-6149	124	17	(	(	PUNCT
ejpam-6149	124	18	δc	δc	NOUN
ejpam-6149	124	19	+	+	CCONJ
ejpam-6149	124	20	µ+	µ+	PRON
ejpam-6149	124	21	µ1)ic	µ1)ic	PROPN
ejpam-6149	124	22	dqc	dqc	NOUN
ejpam-6149	124	23	dt	dt	NOUN
ejpam-6149	124	24	=	=	PUNCT
ejpam-6149	125	1	δeec	δeec	ADJ
ejpam-6149	125	2	+	+	NUM
ejpam-6149	125	3	δcic	δcic	NOUN
ejpam-6149	125	4	−	−	PROPN
ejpam-6149	125	5	(	(	PUNCT
ejpam-6149	125	6	γc	γc	PROPN
ejpam-6149	125	7	+	+	CCONJ
ejpam-6149	125	8	µ+	µ+	DET
ejpam-6149	125	9	µ4)qc	µ4)qc	ADJ
ejpam-6149	125	10	dr	dr	PROPN
ejpam-6149	125	11	dt	dt	PROPN
ejpam-6149	125	12	=	=	PUNCT
ejpam-6149	125	13	γcqc	γcqc	VERB
ejpam-6149	125	14	−	−	PROPN
ejpam-6149	125	15	µr	µr	ADP
ejpam-6149	125	16	,	,	PUNCT
ejpam-6149	125	17	(	(	PUNCT
ejpam-6149	125	18	2	2	X
ejpam-6149	125	19	)	)	PUNCT
ejpam-6149	126	1	where	where	SCONJ
ejpam-6149	126	2	nc	nc	PROPN
ejpam-6149	126	3	=	=	PROPN
ejpam-6149	126	4	s	s	PART
ejpam-6149	126	5	+	+	NUM
ejpam-6149	126	6	ec	ec	PROPN
ejpam-6149	126	7	+	+	CCONJ
ejpam-6149	126	8	ic	ic	PROPN
ejpam-6149	126	9	+	+	NUM
ejpam-6149	126	10	qc	qc	PROPN
ejpam-6149	126	11	+	+	X
ejpam-6149	126	12	r.	r.	NOUN
ejpam-6149	126	13	by	by	ADP
ejpam-6149	126	14	adding	add	VERB
ejpam-6149	126	15	all	all	DET
ejpam-6149	126	16	the	the	DET
ejpam-6149	126	17	equations	equation	NOUN
ejpam-6149	126	18	in	in	ADP
ejpam-6149	126	19	the	the	DET
ejpam-6149	126	20	system	system	NOUN
ejpam-6149	126	21	(	(	PUNCT
ejpam-6149	126	22	2	2	NUM
ejpam-6149	126	23	)	)	PUNCT
ejpam-6149	126	24	,	,	PUNCT
ejpam-6149	126	25	we	we	PRON
ejpam-6149	126	26	obtained	obtain	VERB
ejpam-6149	126	27	ω	ω	NUM
ejpam-6149	126	28	−	−	PROPN
ejpam-6149	126	29	µnc	µnc	ADV
ejpam-6149	126	30	−	−	PROPN
ejpam-6149	126	31	µ1ic	µ1ic	PUNCT
ejpam-6149	126	32	−	−	PROPN
ejpam-6149	126	33	µ4qc	µ4qc	PUNCT
ejpam-6149	126	34	≤	≤	PROPN
ejpam-6149	126	35	ω	ω	NUM
ejpam-6149	126	36	−	−	NOUN
ejpam-6149	126	37	µnc	µnc	ADV
ejpam-6149	126	38	.	.	PUNCT
ejpam-6149	127	1	the	the	DET
ejpam-6149	127	2	given	give	VERB
ejpam-6149	127	3	initial	initial	ADJ
ejpam-6149	127	4	conditions	condition	NOUN
ejpam-6149	127	5	of	of	ADP
ejpam-6149	127	6	the	the	DET
ejpam-6149	127	7	covid-19	covid-19	PROPN
ejpam-6149	127	8	sub	sub	ADJ
ejpam-6149	127	9	-	-	ADJ
ejpam-6149	127	10	model	model	ADJ
ejpam-6149	127	11	system	system	NOUN
ejpam-6149	127	12	(	(	PUNCT
ejpam-6149	127	13	2	2	X
ejpam-6149	127	14	)	)	PUNCT
ejpam-6149	127	15	guarantee	guarantee	VERB
ejpam-6149	127	16	that	that	SCONJ
ejpam-6149	127	17	n(0	n(0	PROPN
ejpam-6149	127	18	)	)	PUNCT
ejpam-6149	127	19	≥	≥	NOUN
ejpam-6149	127	20	0	0	NUM
ejpam-6149	127	21	.	.	PUNCT
ejpam-6149	128	1	thus	thus	ADV
ejpam-6149	128	2	,	,	PUNCT
ejpam-6149	128	3	the	the	DET
ejpam-6149	128	4	total	total	ADJ
ejpam-6149	128	5	human	human	ADJ
ejpam-6149	128	6	population	population	NOUN
ejpam-6149	128	7	is	be	AUX
ejpam-6149	128	8	positive	positive	ADJ
ejpam-6149	128	9	and	and	CCONJ
ejpam-6149	128	10	bounded	bound	VERB
ejpam-6149	128	11	for	for	ADP
ejpam-6149	128	12	finite	finite	ADJ
ejpam-6149	128	13	time	time	NOUN
ejpam-6149	128	14	t	t	PROPN
ejpam-6149	128	15	>	>	X
ejpam-6149	128	16	0	0	X
ejpam-6149	128	17	.	.	PUNCT
ejpam-6149	129	1	by	by	ADP
ejpam-6149	129	2	differential	differential	ADJ
ejpam-6149	129	3	inequality	inequality	NOUN
ejpam-6149	129	4	[	[	X
ejpam-6149	129	5	4	4	NUM
ejpam-6149	129	6	]	]	PUNCT
ejpam-6149	129	7	,	,	PUNCT
ejpam-6149	129	8	nc(t	nc(t	NOUN
ejpam-6149	129	9	)	)	PUNCT
ejpam-6149	129	10	≤	≤	PUNCT
ejpam-6149	130	1	nc(0)e	nc(0)e	PROPN
ejpam-6149	130	2	−µt+	−µt+	PROPN
ejpam-6149	130	3	ω	ω	NUM
ejpam-6149	130	4	µ	µ	X
ejpam-6149	130	5	(	(	PUNCT
ejpam-6149	130	6	1−e−µt	1−e−µt	NUM
ejpam-6149	130	7	)	)	PUNCT
ejpam-6149	130	8	.	.	PUNCT
ejpam-6149	131	1	as	as	ADP
ejpam-6149	131	2	t	t	PROPN
ejpam-6149	131	3	→	→	SYM
ejpam-6149	131	4	+	+	PROPN
ejpam-6149	131	5	∞	∞	PROPN
ejpam-6149	131	6	,	,	PUNCT
ejpam-6149	131	7	we	we	PRON
ejpam-6149	131	8	get	get	VERB
ejpam-6149	131	9	0	0	NUM
ejpam-6149	131	10	≤	≤	NUM
ejpam-6149	131	11	nc(t	nc(t	NOUN
ejpam-6149	131	12	)	)	PUNCT
ejpam-6149	131	13	≤	≤	NOUN
ejpam-6149	131	14	ω	ω	NUM
ejpam-6149	131	15	µ	µ	NOUN
ejpam-6149	131	16	.	.	PUNCT
ejpam-6149	132	1	the	the	DET
ejpam-6149	132	2	feasible	feasible	ADJ
ejpam-6149	132	3	region	region	NOUN
ejpam-6149	132	4	of	of	ADP
ejpam-6149	132	5	the	the	DET
ejpam-6149	132	6	covid-19	covid-19	PROPN
ejpam-6149	132	7	sub	sub	NOUN
ejpam-6149	132	8	-	-	NOUN
ejpam-6149	132	9	model	model	ADJ
ejpam-6149	132	10	(	(	PUNCT
ejpam-6149	132	11	2	2	NUM
ejpam-6149	132	12	)	)	PUNCT
ejpam-6149	132	13	is	be	AUX
ejpam-6149	132	14	given	give	VERB
ejpam-6149	132	15	by	by	ADP
ejpam-6149	132	16	ωc	ωc	ADP
ejpam-6149	132	17	=	=	X
ejpam-6149	132	18	{	{	PUNCT
ejpam-6149	132	19	(	(	PUNCT
ejpam-6149	132	20	s	s	X
ejpam-6149	132	21	,	,	PUNCT
ejpam-6149	132	22	ec	ec	PROPN
ejpam-6149	132	23	,	,	PUNCT
ejpam-6149	132	24	ic	ic	PROPN
ejpam-6149	132	25	,	,	PUNCT
ejpam-6149	132	26	qc	qc	PROPN
ejpam-6149	132	27	,	,	PUNCT
ejpam-6149	132	28	r	r	NOUN
ejpam-6149	132	29	)	)	PUNCT
ejpam-6149	132	30	∈	∈	PROPN
ejpam-6149	132	31	r5	r5	PROPN
ejpam-6149	132	32	+	+	CCONJ
ejpam-6149	132	33	:	:	PUNCT
ejpam-6149	132	34	nc(t	nc(t	X
ejpam-6149	132	35	)	)	PUNCT
ejpam-6149	132	36	≤	≤	NOUN
ejpam-6149	132	37	ω	ω	NUM
ejpam-6149	132	38	µ	µ	NOUN
ejpam-6149	132	39	}	}	PUNCT
ejpam-6149	132	40	.	.	PUNCT
ejpam-6149	133	1	the	the	DET
ejpam-6149	133	2	set	set	NOUN
ejpam-6149	133	3	ωc	ωc	INTJ
ejpam-6149	133	4	is	be	AUX
ejpam-6149	133	5	positive	positive	ADJ
ejpam-6149	133	6	invariant	invariant	ADJ
ejpam-6149	133	7	and	and	CCONJ
ejpam-6149	133	8	attracting	attract	VERB
ejpam-6149	133	9	[	[	X
ejpam-6149	133	10	16	16	NUM
ejpam-6149	133	11	]	]	PUNCT
ejpam-6149	133	12	,	,	PUNCT
ejpam-6149	133	13	and	and	CCONJ
ejpam-6149	133	14	all	all	DET
ejpam-6149	133	15	the	the	DET
ejpam-6149	133	16	solutions	solution	NOUN
ejpam-6149	133	17	of	of	ADP
ejpam-6149	133	18	the	the	DET
ejpam-6149	133	19	covid-19	covid-19	PROPN
ejpam-6149	133	20	sub	sub	NOUN
ejpam-6149	133	21	-	-	NOUN
ejpam-6149	133	22	model	model	ADJ
ejpam-6149	133	23	(	(	PUNCT
ejpam-6149	133	24	2	2	NUM
ejpam-6149	133	25	)	)	PUNCT
ejpam-6149	133	26	starting	start	VERB
ejpam-6149	133	27	in	in	ADP
ejpam-6149	133	28	ωc	ωc	ADP
ejpam-6149	133	29	remain	remain	VERB
ejpam-6149	133	30	in	in	ADP
ejpam-6149	133	31	ωc	ωc	INTJ
ejpam-6149	133	32	for	for	ADP
ejpam-6149	133	33	all	all	DET
ejpam-6149	133	34	t	t	PROPN
ejpam-6149	133	35	≥	≥	NOUN
ejpam-6149	133	36	0	0	NUM
ejpam-6149	133	37	.	.	PUNCT
ejpam-6149	134	1	thus	thus	ADV
ejpam-6149	134	2	,	,	PUNCT
ejpam-6149	134	3	the	the	DET
ejpam-6149	134	4	model	model	NOUN
ejpam-6149	134	5	(	(	PUNCT
ejpam-6149	134	6	2	2	NUM
ejpam-6149	134	7	)	)	PUNCT
ejpam-6149	134	8	is	be	AUX
ejpam-6149	134	9	mathematically	mathematically	ADV
ejpam-6149	134	10	and	and	CCONJ
ejpam-6149	134	11	epidemiologically	epidemiologically	ADV
ejpam-6149	134	12	well	well	ADV
ejpam-6149	134	13	-	-	PUNCT
ejpam-6149	134	14	posed	pose	VERB
ejpam-6149	134	15	,	,	PUNCT
ejpam-6149	134	16	and	and	CCONJ
ejpam-6149	134	17	is	be	AUX
ejpam-6149	134	18	sufficient	sufficient	ADJ
ejpam-6149	134	19	to	to	PART
ejpam-6149	134	20	study	study	VERB
ejpam-6149	134	21	its	its	PRON
ejpam-6149	134	22	dynamics	dynamic	NOUN
ejpam-6149	134	23	in	in	ADP
ejpam-6149	134	24	ωc	ωc	PROPN
ejpam-6149	134	25	.	.	PUNCT
ejpam-6149	134	26	note	note	VERB
ejpam-6149	134	27	that	that	SCONJ
ejpam-6149	134	28	the	the	DET
ejpam-6149	134	29	first	first	ADJ
ejpam-6149	134	30	four	four	NUM
ejpam-6149	134	31	(	(	PUNCT
ejpam-6149	134	32	4	4	NUM
ejpam-6149	134	33	)	)	PUNCT
ejpam-6149	134	34	equations	equation	NOUN
ejpam-6149	134	35	in	in	ADP
ejpam-6149	134	36	system	system	NOUN
ejpam-6149	134	37	(	(	PUNCT
ejpam-6149	134	38	2	2	X
ejpam-6149	134	39	)	)	PUNCT
ejpam-6149	134	40	are	be	AUX
ejpam-6149	134	41	independent	independent	ADJ
ejpam-6149	134	42	of	of	ADP
ejpam-6149	134	43	the	the	DET
ejpam-6149	134	44	last	last	ADJ
ejpam-6149	134	45	equation	equation	NOUN
ejpam-6149	134	46	,	,	PUNCT
ejpam-6149	134	47	which	which	PRON
ejpam-6149	134	48	means	mean	VERB
ejpam-6149	134	49	that	that	SCONJ
ejpam-6149	134	50	r	r	NOUN
ejpam-6149	134	51	has	have	VERB
ejpam-6149	134	52	no	no	DET
ejpam-6149	134	53	effect	effect	NOUN
ejpam-6149	134	54	on	on	ADP
ejpam-6149	134	55	the	the	DET
ejpam-6149	134	56	system	system	NOUN
ejpam-6149	134	57	.	.	PUNCT
ejpam-6149	135	1	without	without	ADP
ejpam-6149	135	2	loss	loss	NOUN
ejpam-6149	135	3	of	of	ADP
ejpam-6149	135	4	generality	generality	NOUN
ejpam-6149	135	5	,	,	PUNCT
ejpam-6149	135	6	the	the	DET
ejpam-6149	135	7	last	last	ADJ
ejpam-6149	135	8	equation	equation	NOUN
ejpam-6149	135	9	can	can	AUX
ejpam-6149	135	10	be	be	AUX
ejpam-6149	135	11	omitted	omit	VERB
ejpam-6149	135	12	from	from	ADP
ejpam-6149	135	13	the	the	DET
ejpam-6149	135	14	system	system	NOUN
ejpam-6149	135	15	.	.	PUNCT
ejpam-6149	136	1	now	now	ADV
ejpam-6149	136	2	,	,	PUNCT
ejpam-6149	136	3	setting	set	VERB
ejpam-6149	136	4	all	all	DET
ejpam-6149	136	5	differential	differential	ADJ
ejpam-6149	136	6	equations	equation	NOUN
ejpam-6149	136	7	in	in	ADP
ejpam-6149	136	8	system	system	NOUN
ejpam-6149	136	9	(	(	PUNCT
ejpam-6149	136	10	2	2	NUM
ejpam-6149	136	11	)	)	PUNCT
ejpam-6149	136	12	to	to	ADP
ejpam-6149	136	13	zero	zero	NUM
ejpam-6149	136	14	and	and	CCONJ
ejpam-6149	136	15	solving	solve	VERB
ejpam-6149	136	16	for	for	ADP
ejpam-6149	136	17	all	all	DET
ejpam-6149	136	18	compartments	compartment	NOUN
ejpam-6149	136	19	,	,	PUNCT
ejpam-6149	136	20	we	we	PRON
ejpam-6149	136	21	obtain	obtain	VERB
ejpam-6149	136	22	two	two	NUM
ejpam-6149	136	23	equilibrium	equilibrium	NOUN
ejpam-6149	136	24	points	point	NOUN
ejpam-6149	136	25	,	,	PUNCT
ejpam-6149	136	26	the	the	DET
ejpam-6149	136	27	diseasefree	diseasefree	PROPN
ejpam-6149	136	28	equilibrium	equilibrium	NOUN
ejpam-6149	136	29	(	(	PUNCT
ejpam-6149	136	30	dfe	dfe	PROPN
ejpam-6149	136	31	)	)	PUNCT
ejpam-6149	136	32	and	and	CCONJ
ejpam-6149	136	33	the	the	DET
ejpam-6149	136	34	endemic	endemic	ADJ
ejpam-6149	136	35	equilibrium	equilibrium	NOUN
ejpam-6149	136	36	(	(	PUNCT
ejpam-6149	136	37	ee	ee	PROPN
ejpam-6149	136	38	)	)	PUNCT
ejpam-6149	136	39	.	.	PUNCT
ejpam-6149	137	1	the	the	DET
ejpam-6149	137	2	disease	disease	NOUN
ejpam-6149	137	3	-	-	PUNCT
ejpam-6149	137	4	free	free	ADJ
ejpam-6149	137	5	equilibrium	equilibrium	NOUN
ejpam-6149	137	6	point	point	NOUN
ejpam-6149	137	7	is	be	AUX
ejpam-6149	137	8	obtained	obtain	VERB
ejpam-6149	137	9	when	when	SCONJ
ejpam-6149	137	10	ec	ec	PROPN
ejpam-6149	137	11	=	=	PUNCT
ejpam-6149	137	12	0	0	PROPN
ejpam-6149	137	13	and	and	CCONJ
ejpam-6149	137	14	ic	ic	NOUN
ejpam-6149	137	15	=	=	NOUN
ejpam-6149	137	16	0	0	PUNCT
ejpam-6149	137	17	and	and	CCONJ
ejpam-6149	137	18	will	will	AUX
ejpam-6149	137	19	be	be	AUX
ejpam-6149	137	20	denoted	denote	VERB
ejpam-6149	137	21	by	by	ADP
ejpam-6149	137	22	e0c	e0c	PROPN
ejpam-6149	137	23	=	=	SYM
ejpam-6149	137	24	(	(	PUNCT
ejpam-6149	137	25	s	s	PROPN
ejpam-6149	137	26	,	,	PUNCT
ejpam-6149	137	27	ec	ec	PROPN
ejpam-6149	137	28	,	,	PUNCT
ejpam-6149	137	29	ic	ic	PROPN
ejpam-6149	137	30	,	,	PUNCT
ejpam-6149	137	31	qc	qc	PROPN
ejpam-6149	137	32	)	)	PUNCT
ejpam-6149	137	33	=	=	SYM
ejpam-6149	137	34	(	(	PUNCT
ejpam-6149	137	35	ω	ω	NOUN
ejpam-6149	137	36	µ	µ	X
ejpam-6149	137	37	,	,	PUNCT
ejpam-6149	137	38	0	0	NUM
ejpam-6149	137	39	,	,	PUNCT
ejpam-6149	137	40	0	0	NUM
ejpam-6149	137	41	,	,	PUNCT
ejpam-6149	137	42	0	0	NUM
ejpam-6149	137	43	)	)	PUNCT
ejpam-6149	137	44	.	.	PUNCT
ejpam-6149	138	1	(	(	PUNCT
ejpam-6149	138	2	3	3	X
ejpam-6149	138	3	)	)	PUNCT
ejpam-6149	138	4	j.	j.	PROPN
ejpam-6149	138	5	puebla	puebla	PROPN
ejpam-6149	138	6	,	,	PUNCT
ejpam-6149	138	7	jm	jm	PROPN
ejpam-6149	138	8	.	.	PROPN
ejpam-6149	138	9	macalalag	macalalag	PROPN
ejpam-6149	138	10	,	,	PUNCT
ejpam-6149	138	11	k.	k.	PROPN
ejpam-6149	138	12	pajaron	pajaron	PROPN
ejpam-6149	138	13	/	/	SYM
ejpam-6149	138	14	eur	eur	PROPN
ejpam-6149	138	15	.	.	PUNCT
ejpam-6149	139	1	j.	j.	PROPN
ejpam-6149	139	2	pure	pure	PROPN
ejpam-6149	139	3	appl	appl	PROPN
ejpam-6149	139	4	.	.	PROPN
ejpam-6149	139	5	math	math	PROPN
ejpam-6149	139	6	,	,	PUNCT
ejpam-6149	139	7	18	18	NUM
ejpam-6149	139	8	(	(	PUNCT
ejpam-6149	139	9	3	3	NUM
ejpam-6149	139	10	)	)	PUNCT
ejpam-6149	139	11	(	(	PUNCT
ejpam-6149	139	12	2025	2025	NUM
ejpam-6149	139	13	)	)	PUNCT
ejpam-6149	139	14	,	,	PUNCT
ejpam-6149	139	15	6149	6149	NUM
ejpam-6149	139	16	7	7	NUM
ejpam-6149	139	17	of	of	ADP
ejpam-6149	139	18	28	28	NUM
ejpam-6149	139	19	when	when	SCONJ
ejpam-6149	139	20	ec	ec	PROPN
ejpam-6149	139	21	̸=	̸=	PROPN
ejpam-6149	139	22	0	0	NUM
ejpam-6149	140	1	and	and	CCONJ
ejpam-6149	140	2	ic	ic	NUM
ejpam-6149	140	3	̸=	̸=	PROPN
ejpam-6149	140	4	0	0	NUM
ejpam-6149	140	5	,	,	PUNCT
ejpam-6149	140	6	the	the	DET
ejpam-6149	140	7	endemic	endemic	ADJ
ejpam-6149	140	8	equilibrium	equilibrium	NOUN
ejpam-6149	140	9	point	point	NOUN
ejpam-6149	140	10	exists	exist	VERB
ejpam-6149	140	11	and	and	CCONJ
ejpam-6149	140	12	is	be	AUX
ejpam-6149	140	13	given	give	VERB
ejpam-6149	140	14	by	by	ADP
ejpam-6149	140	15	e1c	e1c	ADV
ejpam-6149	140	16	=	=	SYM
ejpam-6149	140	17	(	(	PUNCT
ejpam-6149	140	18	s	s	PROPN
ejpam-6149	140	19	,	,	PUNCT
ejpam-6149	140	20	ec	ec	PROPN
ejpam-6149	140	21	,	,	PUNCT
ejpam-6149	140	22	ic	ic	PROPN
ejpam-6149	140	23	,	,	PUNCT
ejpam-6149	140	24	qc	qc	PROPN
ejpam-6149	140	25	)	)	PUNCT
ejpam-6149	140	26	where	where	SCONJ
ejpam-6149	140	27	s	s	VERB
ejpam-6149	140	28	=	=	SYM
ejpam-6149	140	29	(	(	PUNCT
ejpam-6149	140	30	rc	rc	PROPN
ejpam-6149	141	1	+	+	CCONJ
ejpam-6149	141	2	δe	δe	ADP
ejpam-6149	141	3	+	+	NOUN
ejpam-6149	141	4	µ)(δc	µ)(δc	PROPN
ejpam-6149	141	5	+	+	CCONJ
ejpam-6149	141	6	µ+	µ+	X
ejpam-6149	141	7	µ1	µ1	NOUN
ejpam-6149	141	8	)	)	PUNCT
ejpam-6149	141	9	βc(δc	βc(δc	PRON
ejpam-6149	141	10	+	+	CCONJ
ejpam-6149	141	11	µ+	µ+	X
ejpam-6149	141	12	µ1	µ1	PROPN
ejpam-6149	141	13	+	+	SYM
ejpam-6149	141	14	rc	rc	PROPN
ejpam-6149	141	15	)	)	PUNCT
ejpam-6149	141	16	ec	ec	PROPN
ejpam-6149	141	17	=	=	PUNCT
ejpam-6149	141	18	ωβc(δc	ωβc(δc	X
ejpam-6149	141	19	+	+	CCONJ
ejpam-6149	141	20	µ+	µ+	X
ejpam-6149	141	21	µ1	µ1	NOUN
ejpam-6149	141	22	+	+	SYM
ejpam-6149	141	23	rc)−	rc)−	NOUN
ejpam-6149	141	24	µ(rc	µ(rc	NOUN
ejpam-6149	141	25	+	+	CCONJ
ejpam-6149	141	26	δe	δe	ADP
ejpam-6149	141	27	+	+	NOUN
ejpam-6149	141	28	µ)(δc	µ)(δc	PROPN
ejpam-6149	141	29	+	+	CCONJ
ejpam-6149	141	30	µ+	µ+	X
ejpam-6149	141	31	µ1	µ1	NOUN
ejpam-6149	141	32	)	)	PUNCT
ejpam-6149	141	33	βc(rc	βc(rc	NOUN
ejpam-6149	142	1	+	+	CCONJ
ejpam-6149	142	2	δe	δe	X
ejpam-6149	142	3	+	+	NOUN
ejpam-6149	142	4	µ)(δc	µ)(δc	PROPN
ejpam-6149	142	5	+	+	CCONJ
ejpam-6149	142	6	µ+	µ+	X
ejpam-6149	142	7	µ1	µ1	PROPN
ejpam-6149	142	8	+	+	SYM
ejpam-6149	142	9	rc	rc	PROPN
ejpam-6149	142	10	)	)	PUNCT
ejpam-6149	142	11	ic	ic	PROPN
ejpam-6149	142	12	=	=	SYM
ejpam-6149	142	13	rcωβc(δc	rcωβc(δc	PROPN
ejpam-6149	142	14	+	+	CCONJ
ejpam-6149	142	15	µ+	µ+	X
ejpam-6149	142	16	µ1	µ1	NOUN
ejpam-6149	142	17	+	+	CCONJ
ejpam-6149	142	18	rc)−	rc)−	NOUN
ejpam-6149	142	19	rcµ(rc	rcµ(rc	NOUN
ejpam-6149	142	20	+	+	CCONJ
ejpam-6149	142	21	δe	δe	X
ejpam-6149	142	22	+	+	NOUN
ejpam-6149	142	23	µ)(δc	µ)(δc	PROPN
ejpam-6149	142	24	+	+	CCONJ
ejpam-6149	142	25	µ+	µ+	X
ejpam-6149	142	26	µ1	µ1	NOUN
ejpam-6149	142	27	)	)	PUNCT
ejpam-6149	142	28	βc(rc	βc(rc	NOUN
ejpam-6149	143	1	+	+	CCONJ
ejpam-6149	143	2	δe	δe	X
ejpam-6149	143	3	+	+	NOUN
ejpam-6149	143	4	µ)(δc	µ)(δc	PROPN
ejpam-6149	143	5	+	+	CCONJ
ejpam-6149	143	6	µ+	µ+	X
ejpam-6149	143	7	µ1	µ1	NOUN
ejpam-6149	143	8	+	+	CCONJ
ejpam-6149	143	9	rc)(δc	rc)(δc	PROPN
ejpam-6149	143	10	+	+	CCONJ
ejpam-6149	143	11	µ+	µ+	X
ejpam-6149	143	12	µ1	µ1	NOUN
ejpam-6149	143	13	)	)	PUNCT
ejpam-6149	143	14	qc	qc	PROPN
ejpam-6149	143	15	=	=	PROPN
ejpam-6149	143	16	δeωβc(δc	δeωβc(δc	PROPN
ejpam-6149	143	17	+	+	CCONJ
ejpam-6149	143	18	µ+	µ+	X
ejpam-6149	143	19	µ1	µ1	NOUN
ejpam-6149	143	20	+	+	CCONJ
ejpam-6149	143	21	rc)−	rc)−	ADJ
ejpam-6149	143	22	δeµ(rc	δeµ(rc	NOUN
ejpam-6149	143	23	+	+	CCONJ
ejpam-6149	143	24	δe	δe	X
ejpam-6149	143	25	+	+	NOUN
ejpam-6149	143	26	µ)(δc	µ)(δc	PROPN
ejpam-6149	143	27	+	+	CCONJ
ejpam-6149	143	28	µ+	µ+	X
ejpam-6149	143	29	µ1	µ1	NOUN
ejpam-6149	143	30	)	)	PUNCT
ejpam-6149	143	31	βc(rc	βc(rc	NOUN
ejpam-6149	144	1	+	+	CCONJ
ejpam-6149	144	2	δe	δe	X
ejpam-6149	144	3	+	+	NOUN
ejpam-6149	144	4	µ)(δc	µ)(δc	PROPN
ejpam-6149	144	5	+	+	CCONJ
ejpam-6149	144	6	µ+	µ+	X
ejpam-6149	144	7	µ1	µ1	NOUN
ejpam-6149	144	8	+	+	CCONJ
ejpam-6149	144	9	rc)(γc	rc)(γc	X
ejpam-6149	144	10	+	+	CCONJ
ejpam-6149	144	11	µ+	µ+	X
ejpam-6149	144	12	µ4	µ4	PROPN
ejpam-6149	144	13	)	)	PUNCT
ejpam-6149	144	14	+	+	CCONJ
ejpam-6149	144	15	δcrcωβc(δc	δcrcωβc(δc	NOUN
ejpam-6149	144	16	+	+	CCONJ
ejpam-6149	144	17	µ+	µ+	X
ejpam-6149	144	18	µ1	µ1	NOUN
ejpam-6149	144	19	+	+	SYM
ejpam-6149	144	20	rc)−	rc)−	NOUN
ejpam-6149	144	21	δcrcµ(rc	δcrcµ(rc	NOUN
ejpam-6149	144	22	+	+	CCONJ
ejpam-6149	144	23	δe	δe	ADP
ejpam-6149	144	24	+	+	NOUN
ejpam-6149	144	25	µ)(δc	µ)(δc	PROPN
ejpam-6149	144	26	+	+	CCONJ
ejpam-6149	144	27	µ+	µ+	X
ejpam-6149	144	28	µ1	µ1	NOUN
ejpam-6149	144	29	)	)	PUNCT
ejpam-6149	144	30	βc(rc	βc(rc	NOUN
ejpam-6149	145	1	+	+	CCONJ
ejpam-6149	145	2	δe	δe	X
ejpam-6149	145	3	+	+	NOUN
ejpam-6149	145	4	µ)(δc	µ)(δc	PROPN
ejpam-6149	145	5	+	+	CCONJ
ejpam-6149	145	6	µ+	µ+	X
ejpam-6149	145	7	µ1	µ1	NOUN
ejpam-6149	145	8	+	+	CCONJ
ejpam-6149	145	9	rc)(δc	rc)(δc	X
ejpam-6149	145	10	+	+	CCONJ
ejpam-6149	145	11	µ+	µ+	X
ejpam-6149	145	12	µ1)(γc	µ1)(γc	PROPN
ejpam-6149	145	13	+	+	NUM
ejpam-6149	145	14	µ+	µ+	DET
ejpam-6149	145	15	µ4	µ4	PROPN
ejpam-6149	145	16	)	)	PUNCT
ejpam-6149	145	17	.	.	PUNCT
ejpam-6149	146	1	(	(	PUNCT
ejpam-6149	146	2	4	4	X
ejpam-6149	146	3	)	)	PUNCT
ejpam-6149	146	4	the	the	DET
ejpam-6149	146	5	basic	basic	ADJ
ejpam-6149	146	6	reproduction	reproduction	NOUN
ejpam-6149	146	7	number	number	NOUN
ejpam-6149	146	8	(	(	PUNCT
ejpam-6149	146	9	r0	r0	NOUN
ejpam-6149	146	10	)	)	PUNCT
ejpam-6149	146	11	is	be	AUX
ejpam-6149	146	12	defined	define	VERB
ejpam-6149	146	13	as	as	ADP
ejpam-6149	146	14	the	the	DET
ejpam-6149	146	15	average	average	ADJ
ejpam-6149	146	16	number	number	NOUN
ejpam-6149	146	17	of	of	ADP
ejpam-6149	146	18	secondary	secondary	ADJ
ejpam-6149	146	19	infections	infection	NOUN
ejpam-6149	146	20	produced	produce	VERB
ejpam-6149	146	21	by	by	ADP
ejpam-6149	146	22	a	a	DET
ejpam-6149	146	23	single	single	ADJ
ejpam-6149	146	24	covid-19	covid-19	PROPN
ejpam-6149	146	25	-	-	PUNCT
ejpam-6149	146	26	infected	infect	VERB
ejpam-6149	146	27	individual	individual	NOUN
ejpam-6149	146	28	in	in	ADP
ejpam-6149	146	29	a	a	DET
ejpam-6149	146	30	completely	completely	ADV
ejpam-6149	146	31	susceptible	susceptible	ADJ
ejpam-6149	146	32	population	population	NOUN
ejpam-6149	147	1	[	[	X
ejpam-6149	147	2	44	44	NUM
ejpam-6149	147	3	]	]	PUNCT
ejpam-6149	147	4	.	.	PUNCT
ejpam-6149	148	1	the	the	DET
ejpam-6149	148	2	next	next	ADJ
ejpam-6149	148	3	generation	generation	NOUN
ejpam-6149	148	4	matrix	matrix	NOUN
ejpam-6149	148	5	(	(	PUNCT
ejpam-6149	148	6	ngm	ngm	PROPN
ejpam-6149	148	7	)	)	PUNCT
ejpam-6149	148	8	is	be	AUX
ejpam-6149	148	9	used	use	VERB
ejpam-6149	148	10	to	to	PART
ejpam-6149	148	11	compute	compute	VERB
ejpam-6149	148	12	the	the	DET
ejpam-6149	148	13	basic	basic	ADJ
ejpam-6149	148	14	reproduction	reproduction	NOUN
ejpam-6149	148	15	number	number	NOUN
ejpam-6149	148	16	.	.	PUNCT
ejpam-6149	149	1	the	the	DET
ejpam-6149	149	2	system	system	NOUN
ejpam-6149	149	3	(	(	PUNCT
ejpam-6149	149	4	2	2	X
ejpam-6149	149	5	)	)	PUNCT
ejpam-6149	149	6	can	can	AUX
ejpam-6149	149	7	be	be	AUX
ejpam-6149	149	8	written	write	VERB
ejpam-6149	149	9	as	as	ADP
ejpam-6149	149	10	ẋ	ẋ	PROPN
ejpam-6149	149	11	=	=	SYM
ejpam-6149	149	12	f(x	f(x	PROPN
ejpam-6149	149	13	)	)	PUNCT
ejpam-6149	150	1	=	=	SYM
ejpam-6149	150	2	f(x	f(x	PROPN
ejpam-6149	150	3	)	)	PUNCT
ejpam-6149	150	4	−	−	ADP
ejpam-6149	151	1	v(x	v(x	NOUN
ejpam-6149	151	2	)	)	PUNCT
ejpam-6149	151	3	where	where	SCONJ
ejpam-6149	151	4	f	f	PROPN
ejpam-6149	151	5	is	be	AUX
ejpam-6149	151	6	the	the	DET
ejpam-6149	151	7	transmission	transmission	NOUN
ejpam-6149	151	8	matrix	matrix	NOUN
ejpam-6149	151	9	and	and	CCONJ
ejpam-6149	151	10	the	the	DET
ejpam-6149	151	11	v	v	NOUN
ejpam-6149	151	12	is	be	AUX
ejpam-6149	151	13	the	the	DET
ejpam-6149	151	14	transition	transition	NOUN
ejpam-6149	151	15	matrix	matrix	NOUN
ejpam-6149	151	16	are	be	AUX
ejpam-6149	151	17	given	give	VERB
ejpam-6149	151	18	as	as	SCONJ
ejpam-6149	151	19	follows	follow	VERB
ejpam-6149	151	20	f	f	NOUN
ejpam-6149	151	21	=	=	NOUN
ejpam-6149	151	22	βc(ec	βc(ec	NOUN
ejpam-6149	152	1	+	+	CCONJ
ejpam-6149	152	2	ic)s	ic)s	PROPN
ejpam-6149	152	3	0	0	NUM
ejpam-6149	152	4	0	0	NUM
ejpam-6149	152	5			PROPN
ejpam-6149	152	6	and	and	CCONJ
ejpam-6149	152	7	v	v	NOUN
ejpam-6149	152	8	=	=	SYM
ejpam-6149	152	9			PROPN
ejpam-6149	152	10	(	(	PUNCT
ejpam-6149	152	11	rc	rc	PROPN
ejpam-6149	152	12	+	+	CCONJ
ejpam-6149	152	13	δe	δe	ADP
ejpam-6149	152	14	+	+	ADJ
ejpam-6149	152	15	µ)ec	µ)ec	PROPN
ejpam-6149	152	16	−rcec	−rcec	NOUN
ejpam-6149	153	1	+	+	CCONJ
ejpam-6149	153	2	(	(	PUNCT
ejpam-6149	153	3	δc	δc	NOUN
ejpam-6149	153	4	+	+	CCONJ
ejpam-6149	153	5	µ+	µ+	PRON
ejpam-6149	153	6	µ1)ic	µ1)ic	PROPN
ejpam-6149	153	7	−δeec	−δeec	ADP
ejpam-6149	153	8	−	−	PROPN
ejpam-6149	153	9	δcic	δcic	NOUN
ejpam-6149	153	10	+	+	CCONJ
ejpam-6149	153	11	(	(	PUNCT
ejpam-6149	153	12	γc	γc	X
ejpam-6149	153	13	+	+	CCONJ
ejpam-6149	153	14	µ+	µ+	DET
ejpam-6149	153	15	µ4)qc	µ4)qc	ADJ
ejpam-6149	153	16			PROPN
ejpam-6149	153	17	.	.	PUNCT
ejpam-6149	154	1	evaluating	evaluate	VERB
ejpam-6149	154	2	the	the	DET
ejpam-6149	154	3	jacobian	jacobian	ADJ
ejpam-6149	154	4	matrix	matrix	NOUN
ejpam-6149	154	5	of	of	ADP
ejpam-6149	154	6	f	f	PROPN
ejpam-6149	154	7	and	and	CCONJ
ejpam-6149	154	8	v	v	NOUN
ejpam-6149	154	9	at	at	ADP
ejpam-6149	154	10	the	the	DET
ejpam-6149	154	11	disease	disease	NOUN
ejpam-6149	154	12	-	-	PUNCT
ejpam-6149	154	13	free	free	ADJ
ejpam-6149	154	14	equilibrium	equilibrium	NOUN
ejpam-6149	154	15	e0c	e0c	PUNCT
ejpam-6149	154	16	gives	give	VERB
ejpam-6149	154	17	f	f	X
ejpam-6149	154	18	=	=	PUNCT
ejpam-6149	154	19	βcω	βcω	VERB
ejpam-6149	154	20	µ	µ	PRON
ejpam-6149	154	21	βcω	βcω	X
ejpam-6149	154	22	µ	µ	NOUN
ejpam-6149	154	23	0	0	NUM
ejpam-6149	154	24	0	0	NUM
ejpam-6149	154	25	0	0	NUM
ejpam-6149	154	26	0	0	NUM
ejpam-6149	154	27	0	0	NUM
ejpam-6149	154	28	0	0	NUM
ejpam-6149	154	29	0	0	NUM
ejpam-6149	155	1			PROPN
ejpam-6149	155	2	and	and	CCONJ
ejpam-6149	155	3	v	v	NOUN
ejpam-6149	155	4	=	=	PUNCT
ejpam-6149	155	5	rc	rc	X
ejpam-6149	155	6	+	+	X
ejpam-6149	155	7	δe	δe	NOUN
ejpam-6149	155	8	+	+	X
ejpam-6149	155	9	µ	µ	X
ejpam-6149	155	10	0	0	NUM
ejpam-6149	155	11	0	0	NUM
ejpam-6149	155	12	−rc	−rc	NOUN
ejpam-6149	155	13	δc	δc	NOUN
ejpam-6149	155	14	+	+	CCONJ
ejpam-6149	155	15	µ+	µ+	X
ejpam-6149	155	16	µ1	µ1	PROPN
ejpam-6149	155	17	0	0	NUM
ejpam-6149	155	18	−δe	−δe	PROPN
ejpam-6149	155	19	−δc	−δc	NOUN
ejpam-6149	155	20	γc	γc	NOUN
ejpam-6149	156	1	+	+	CCONJ
ejpam-6149	156	2	µ+	µ+	PUNCT
ejpam-6149	156	3	µ4	µ4	PROPN
ejpam-6149	156	4			PROPN
ejpam-6149	156	5	,	,	PUNCT
ejpam-6149	156	6	respectively	respectively	ADV
ejpam-6149	156	7	.	.	PUNCT
ejpam-6149	157	1	let	let	VERB
ejpam-6149	157	2	a1	a1	NOUN
ejpam-6149	157	3	=	=	SYM
ejpam-6149	157	4	rc	rc	PROPN
ejpam-6149	157	5	+	+	CCONJ
ejpam-6149	157	6	δe	δe	PRON
ejpam-6149	157	7	+	+	X
ejpam-6149	157	8	µ	µ	NUM
ejpam-6149	157	9	,	,	PUNCT
ejpam-6149	157	10	a2	a2	PROPN
ejpam-6149	157	11	=	=	NOUN
ejpam-6149	157	12	δc	δc	NOUN
ejpam-6149	157	13	+	+	CCONJ
ejpam-6149	157	14	µ+	µ+	X
ejpam-6149	157	15	µ1	µ1	PROPN
ejpam-6149	157	16	,	,	PUNCT
ejpam-6149	157	17	and	and	CCONJ
ejpam-6149	157	18	a3	a3	NOUN
ejpam-6149	157	19	=	=	SYM
ejpam-6149	157	20	γc	γc	PROPN
ejpam-6149	157	21	+	+	X
ejpam-6149	157	22	µ+	µ+	X
ejpam-6149	157	23	µ4	µ4	PROPN
ejpam-6149	157	24	.	.	PUNCT
ejpam-6149	158	1	(	(	PUNCT
ejpam-6149	158	2	5	5	NUM
ejpam-6149	158	3	)	)	PUNCT
ejpam-6149	158	4	then	then	ADV
ejpam-6149	158	5	v	v	ADP
ejpam-6149	158	6	−1	−1	NOUN
ejpam-6149	159	1	=	=	VERB
ejpam-6149	160	1			NUM
ejpam-6149	160	2	1	1	NUM
ejpam-6149	160	3	a1	a1	NOUN
ejpam-6149	160	4	0	0	NUM
ejpam-6149	160	5	0	0	NUM
ejpam-6149	160	6	rc	rc	PROPN
ejpam-6149	160	7	a1a2	a1a2	PROPN
ejpam-6149	160	8	1	1	NUM
ejpam-6149	160	9	a2	a2	NOUN
ejpam-6149	160	10	0	0	NUM
ejpam-6149	160	11	δcrc+δea2	δcrc+δea2	NUM
ejpam-6149	160	12	a1a2a3	a1a2a3	VERB
ejpam-6149	160	13	δc	δc	NUM
ejpam-6149	160	14	a2a3	a2a3	PROPN
ejpam-6149	160	15	1	1	NUM
ejpam-6149	160	16	a3	a3	NOUN
ejpam-6149	160	17			PROPN
ejpam-6149	160	18	.	.	PUNCT
ejpam-6149	161	1	consequently	consequently	ADV
ejpam-6149	161	2	,	,	PUNCT
ejpam-6149	161	3	fv	fv	PROPN
ejpam-6149	161	4	−1	−1	NOUN
ejpam-6149	161	5	=	=	SYM
ejpam-6149	162	1			PROPN
ejpam-6149	162	2	βcω	βcω	PUNCT
ejpam-6149	162	3	µa1	µa1	NOUN
ejpam-6149	162	4	+	+	CCONJ
ejpam-6149	162	5	βcωrc	βcωrc	NOUN
ejpam-6149	163	1	µa1a2	µa1a2	NOUN
ejpam-6149	163	2	βcω	βcω	NOUN
ejpam-6149	163	3	ωa2	ωa2	NOUN
ejpam-6149	163	4	0	0	NUM
ejpam-6149	163	5	0	0	NUM
ejpam-6149	163	6	0	0	NUM
ejpam-6149	163	7	0	0	NUM
ejpam-6149	163	8	0	0	NUM
ejpam-6149	163	9	0	0	NUM
ejpam-6149	163	10	0	0	NUM
ejpam-6149	164	1			PROPN
ejpam-6149	164	2	.	.	PUNCT
ejpam-6149	165	1	j.	j.	PROPN
ejpam-6149	165	2	puebla	puebla	PROPN
ejpam-6149	165	3	,	,	PUNCT
ejpam-6149	165	4	jm	jm	PROPN
ejpam-6149	165	5	.	.	PROPN
ejpam-6149	165	6	macalalag	macalalag	PROPN
ejpam-6149	165	7	,	,	PUNCT
ejpam-6149	165	8	k.	k.	PROPN
ejpam-6149	165	9	pajaron	pajaron	PROPN
ejpam-6149	165	10	/	/	SYM
ejpam-6149	165	11	eur	eur	PROPN
ejpam-6149	165	12	.	.	PUNCT
ejpam-6149	166	1	j.	j.	PROPN
ejpam-6149	166	2	pure	pure	PROPN
ejpam-6149	166	3	appl	appl	PROPN
ejpam-6149	166	4	.	.	PROPN
ejpam-6149	166	5	math	math	PROPN
ejpam-6149	166	6	,	,	PUNCT
ejpam-6149	166	7	18	18	NUM
ejpam-6149	166	8	(	(	PUNCT
ejpam-6149	166	9	3	3	NUM
ejpam-6149	166	10	)	)	PUNCT
ejpam-6149	166	11	(	(	PUNCT
ejpam-6149	166	12	2025	2025	NUM
ejpam-6149	166	13	)	)	PUNCT
ejpam-6149	166	14	,	,	PUNCT
ejpam-6149	166	15	6149	6149	NUM
ejpam-6149	166	16	8	8	NUM
ejpam-6149	166	17	of	of	ADP
ejpam-6149	166	18	28	28	NUM
ejpam-6149	166	19	accordingly	accordingly	ADV
ejpam-6149	166	20	,	,	PUNCT
ejpam-6149	166	21	the	the	DET
ejpam-6149	166	22	largest	large	ADJ
ejpam-6149	166	23	eigenvalue	eigenvalue	NOUN
ejpam-6149	166	24	of	of	ADP
ejpam-6149	166	25	fv	fv	PROPN
ejpam-6149	166	26	−1	−1	NOUN
ejpam-6149	166	27	is	be	AUX
ejpam-6149	166	28	βcω	βcω	PROPN
ejpam-6149	166	29	µa1	µa1	PROPN
ejpam-6149	166	30	+	+	CCONJ
ejpam-6149	166	31	βcωrc	βcωrc	NOUN
ejpam-6149	166	32	µa1a2	µa1a2	NOUN
ejpam-6149	166	33	.	.	PUNCT
ejpam-6149	167	1	hence	hence	ADV
ejpam-6149	167	2	,	,	PUNCT
ejpam-6149	167	3	the	the	DET
ejpam-6149	167	4	basic	basic	ADJ
ejpam-6149	167	5	reproduction	reproduction	NOUN
ejpam-6149	167	6	number	number	NOUN
ejpam-6149	167	7	of	of	ADP
ejpam-6149	167	8	the	the	DET
ejpam-6149	167	9	covid-19	covid-19	PROPN
ejpam-6149	167	10	sub	sub	NOUN
ejpam-6149	167	11	-	-	NOUN
ejpam-6149	167	12	model	model	ADJ
ejpam-6149	167	13	(	(	PUNCT
ejpam-6149	167	14	2	2	NUM
ejpam-6149	167	15	)	)	PUNCT
ejpam-6149	167	16	is	be	AUX
ejpam-6149	167	17	given	give	VERB
ejpam-6149	167	18	by	by	ADP
ejpam-6149	167	19	r0c	r0c	NOUN
ejpam-6149	167	20	=	=	PUNCT
ejpam-6149	167	21	βcω	βcω	NOUN
ejpam-6149	167	22	µ(rc	µ(rc	NOUN
ejpam-6149	167	23	+	+	CCONJ
ejpam-6149	167	24	δe	δe	ADP
ejpam-6149	167	25	+	+	X
ejpam-6149	167	26	µ	µ	NOUN
ejpam-6149	167	27	)	)	PUNCT
ejpam-6149	167	28	+	+	CCONJ
ejpam-6149	167	29	βcωrc	βcωrc	NOUN
ejpam-6149	167	30	µ(rc	µ(rc	NOUN
ejpam-6149	167	31	+	+	CCONJ
ejpam-6149	167	32	δe	δe	ADP
ejpam-6149	167	33	+	+	NOUN
ejpam-6149	167	34	µ)(δc	µ)(δc	PROPN
ejpam-6149	167	35	+	+	CCONJ
ejpam-6149	167	36	µ+	µ+	X
ejpam-6149	167	37	µ1	µ1	NOUN
ejpam-6149	167	38	)	)	PUNCT
ejpam-6149	167	39	.	.	PUNCT
ejpam-6149	168	1	this	this	DET
ejpam-6149	168	2	quantity	quantity	NOUN
ejpam-6149	168	3	is	be	AUX
ejpam-6149	168	4	a	a	DET
ejpam-6149	168	5	crucial	crucial	ADJ
ejpam-6149	168	6	epidemiological	epidemiological	ADJ
ejpam-6149	168	7	metric	metric	NOUN
ejpam-6149	168	8	that	that	PRON
ejpam-6149	168	9	indicates	indicate	VERB
ejpam-6149	168	10	the	the	DET
ejpam-6149	168	11	potential	potential	ADJ
ejpam-6149	168	12	spread	spread	NOUN
ejpam-6149	168	13	of	of	ADP
ejpam-6149	168	14	an	an	DET
ejpam-6149	168	15	infectious	infectious	ADJ
ejpam-6149	168	16	disease	disease	NOUN
ejpam-6149	168	17	within	within	ADP
ejpam-6149	168	18	a	a	DET
ejpam-6149	168	19	population	population	NOUN
ejpam-6149	168	20	.	.	PUNCT
ejpam-6149	169	1	it	it	PRON
ejpam-6149	169	2	determines	determine	VERB
ejpam-6149	169	3	whether	whether	SCONJ
ejpam-6149	169	4	the	the	DET
ejpam-6149	169	5	disease	disease	NOUN
ejpam-6149	169	6	will	will	AUX
ejpam-6149	169	7	continue	continue	VERB
ejpam-6149	169	8	to	to	PART
ejpam-6149	169	9	spread	spread	VERB
ejpam-6149	169	10	(	(	PUNCT
ejpam-6149	169	11	r0c	r0c	VERB
ejpam-6149	169	12	>	>	X
ejpam-6149	169	13	1	1	NUM
ejpam-6149	169	14	)	)	PUNCT
ejpam-6149	169	15	or	or	CCONJ
ejpam-6149	169	16	eventually	eventually	ADV
ejpam-6149	169	17	decline	decline	VERB
ejpam-6149	169	18	(	(	PUNCT
ejpam-6149	169	19	r0c	r0c	VERB
ejpam-6149	169	20	<	<	X
ejpam-6149	169	21	1	1	NUM
ejpam-6149	169	22	)	)	PUNCT
ejpam-6149	169	23	in	in	ADP
ejpam-6149	169	24	the	the	DET
ejpam-6149	169	25	community	community	NOUN
ejpam-6149	169	26	.	.	PUNCT
ejpam-6149	170	1	hence	hence	ADV
ejpam-6149	170	2	,	,	PUNCT
ejpam-6149	170	3	this	this	PRON
ejpam-6149	170	4	will	will	AUX
ejpam-6149	170	5	guide	guide	VERB
ejpam-6149	170	6	public	public	ADJ
ejpam-6149	170	7	health	health	NOUN
ejpam-6149	170	8	strategies	strategy	NOUN
ejpam-6149	170	9	and	and	CCONJ
ejpam-6149	170	10	intervention	intervention	NOUN
ejpam-6149	170	11	measures	measure	NOUN
ejpam-6149	170	12	.	.	PUNCT
ejpam-6149	171	1	3.2	3.2	NUM
ejpam-6149	171	2	.	.	PUNCT
ejpam-6149	172	1	stability	stability	NOUN
ejpam-6149	172	2	analysis	analysis	NOUN
ejpam-6149	172	3	of	of	ADP
ejpam-6149	172	4	the	the	DET
ejpam-6149	172	5	equilibrium	equilibrium	NOUN
ejpam-6149	172	6	points	point	NOUN
ejpam-6149	172	7	for	for	ADP
ejpam-6149	172	8	the	the	DET
ejpam-6149	172	9	covid-19	covid-19	PROPN
ejpam-6149	172	10	submodel	submodel	PROPN
ejpam-6149	172	11	this	this	DET
ejpam-6149	172	12	subsection	subsection	NOUN
ejpam-6149	172	13	examines	examine	VERB
ejpam-6149	172	14	the	the	DET
ejpam-6149	172	15	stability	stability	NOUN
ejpam-6149	172	16	of	of	ADP
ejpam-6149	172	17	the	the	DET
ejpam-6149	172	18	equilibrium	equilibrium	NOUN
ejpam-6149	172	19	points	point	NOUN
ejpam-6149	172	20	for	for	ADP
ejpam-6149	172	21	the	the	DET
ejpam-6149	172	22	covid-19	covid-19	PROPN
ejpam-6149	172	23	sub	sub	NOUN
ejpam-6149	172	24	-	-	NOUN
ejpam-6149	172	25	model	model	ADJ
ejpam-6149	172	26	(	(	PUNCT
ejpam-6149	172	27	2	2	NUM
ejpam-6149	172	28	)	)	PUNCT
ejpam-6149	172	29	.	.	PUNCT
ejpam-6149	173	1	theorem	theorem	NOUN
ejpam-6149	173	2	1	1	NUM
ejpam-6149	173	3	.	.	PUNCT
ejpam-6149	174	1	if	if	SCONJ
ejpam-6149	174	2	r0c	r0c	VERB
ejpam-6149	174	3	<	<	X
ejpam-6149	174	4	1	1	NUM
ejpam-6149	174	5	,	,	PUNCT
ejpam-6149	174	6	then	then	ADV
ejpam-6149	174	7	the	the	DET
ejpam-6149	174	8	covid-19	covid-19	PROPN
ejpam-6149	174	9	sub	sub	NOUN
ejpam-6149	174	10	-	-	NOUN
ejpam-6149	174	11	model	model	ADJ
ejpam-6149	174	12	(	(	PUNCT
ejpam-6149	174	13	2	2	NUM
ejpam-6149	174	14	)	)	PUNCT
ejpam-6149	174	15	is	be	AUX
ejpam-6149	174	16	locally	locally	ADV
ejpam-6149	174	17	asymptotically	asymptotically	ADV
ejpam-6149	174	18	stable	stable	ADJ
ejpam-6149	174	19	at	at	ADP
ejpam-6149	174	20	the	the	DET
ejpam-6149	174	21	disease	disease	NOUN
ejpam-6149	174	22	-	-	PUNCT
ejpam-6149	174	23	free	free	ADJ
ejpam-6149	174	24	equilibrium	equilibrium	NOUN
ejpam-6149	174	25	eoc	eoc	NOUN
ejpam-6149	174	26	and	and	CCONJ
ejpam-6149	174	27	unstable	unstable	ADJ
ejpam-6149	174	28	otherwise	otherwise	ADV
ejpam-6149	174	29	.	.	PUNCT
ejpam-6149	175	1	proof	proof	NOUN
ejpam-6149	175	2	.	.	PUNCT
ejpam-6149	176	1	the	the	DET
ejpam-6149	176	2	jacobian	jacobian	ADJ
ejpam-6149	176	3	matrix	matrix	NOUN
ejpam-6149	176	4	of	of	ADP
ejpam-6149	176	5	system	system	NOUN
ejpam-6149	176	6	(	(	PUNCT
ejpam-6149	176	7	2	2	X
ejpam-6149	176	8	)	)	PUNCT
ejpam-6149	176	9	evaluated	evaluate	VERB
ejpam-6149	176	10	at	at	ADP
ejpam-6149	176	11	eoc	eoc	PROPN
ejpam-6149	176	12	is	be	AUX
ejpam-6149	176	13	given	give	VERB
ejpam-6149	176	14	by	by	ADP
ejpam-6149	176	15	jeoc	jeoc	NOUN
ejpam-6149	176	16	=	=	SYM
ejpam-6149	176	17			PROPN
ejpam-6149	176	18	−µ	−µ	ADV
ejpam-6149	176	19	−βcω	−βcω	CCONJ
ejpam-6149	176	20	µ	µ	X
ejpam-6149	176	21	−βcω	−βcω	X
ejpam-6149	176	22	µ	µ	X
ejpam-6149	176	23	0	0	NUM
ejpam-6149	176	24	0	0	NUM
ejpam-6149	176	25	βcω	βcω	NOUN
ejpam-6149	176	26	µ	µ	PROPN
ejpam-6149	176	27	−a1	−a1	VERB
ejpam-6149	176	28	βcω	βcω	NOUN
ejpam-6149	176	29	µ	µ	NOUN
ejpam-6149	176	30	0	0	NUM
ejpam-6149	176	31	0	0	NUM
ejpam-6149	176	32	rc	rc	PROPN
ejpam-6149	176	33	−a2	−a2	NOUN
ejpam-6149	176	34	0	0	PROPN
ejpam-6149	176	35	0	0	NUM
ejpam-6149	176	36	δe	δe	NOUN
ejpam-6149	176	37	δc	δc	NOUN
ejpam-6149	176	38	−a3	−a3	NOUN
ejpam-6149	176	39			PRON
ejpam-6149	176	40	,	,	PUNCT
ejpam-6149	176	41	where	where	SCONJ
ejpam-6149	176	42	ai	ai	VERB
ejpam-6149	176	43	,	,	PUNCT
ejpam-6149	176	44	a2	a2	PROPN
ejpam-6149	176	45	,	,	PUNCT
ejpam-6149	176	46	and	and	CCONJ
ejpam-6149	176	47	a3	a3	NOUN
ejpam-6149	176	48	are	be	AUX
ejpam-6149	176	49	given	give	VERB
ejpam-6149	176	50	in	in	ADP
ejpam-6149	176	51	(	(	PUNCT
ejpam-6149	176	52	5	5	NUM
ejpam-6149	176	53	)	)	PUNCT
ejpam-6149	176	54	.	.	PUNCT
ejpam-6149	177	1	then	then	ADV
ejpam-6149	177	2	the	the	DET
ejpam-6149	177	3	characteristic	characteristic	ADJ
ejpam-6149	177	4	polynomial	polynomial	NOUN
ejpam-6149	177	5	of	of	ADP
ejpam-6149	177	6	the	the	DET
ejpam-6149	177	7	jacobian	jacobian	ADJ
ejpam-6149	177	8	matrix	matrix	NOUN
ejpam-6149	177	9	jeoc	jeoc	NOUN
ejpam-6149	177	10	is	be	AUX
ejpam-6149	177	11	jeoc	jeoc	NOUN
ejpam-6149	177	12	(	(	PUNCT
ejpam-6149	177	13	λ	λ	NOUN
ejpam-6149	177	14	)	)	PUNCT
ejpam-6149	177	15	=	=	SYM
ejpam-6149	177	16	(	(	PUNCT
ejpam-6149	177	17	−µ−	−µ−	NOUN
ejpam-6149	177	18	λ)(−a3	λ)(−a3	PROPN
ejpam-6149	177	19	−	−	NOUN
ejpam-6149	177	20	λ	λ	NOUN
ejpam-6149	177	21	)	)	PUNCT
ejpam-6149	177	22	[	[	PUNCT
ejpam-6149	177	23	λ2	λ2	NOUN
ejpam-6149	177	24	+	+	CCONJ
ejpam-6149	177	25	(	(	PUNCT
ejpam-6149	177	26	a1	a1	NOUN
ejpam-6149	177	27	+	+	PROPN
ejpam-6149	177	28	a2	a2	PROPN
ejpam-6149	177	29	−	−	PROPN
ejpam-6149	177	30	βcω	βcω	SYM
ejpam-6149	177	31	µ	µ	X
ejpam-6149	177	32	)	)	PUNCT
ejpam-6149	177	33	λ+a1a2	λ+a1a2	NOUN
ejpam-6149	177	34	−	−	NOUN
ejpam-6149	177	35	βcω(a2	βcω(a2	PROPN
ejpam-6149	177	36	−	−	PROPN
ejpam-6149	177	37	rc	rc	PROPN
ejpam-6149	177	38	)	)	PUNCT
ejpam-6149	177	39	µ	µ	X
ejpam-6149	177	40	]	]	PUNCT
ejpam-6149	177	41	.	.	PUNCT
ejpam-6149	178	1	hence	hence	ADV
ejpam-6149	178	2	,	,	PUNCT
ejpam-6149	178	3	the	the	DET
ejpam-6149	178	4	characteristic	characteristic	ADJ
ejpam-6149	178	5	roots	root	NOUN
ejpam-6149	178	6	are	be	AUX
ejpam-6149	178	7	λ1	λ1	ADJ
ejpam-6149	178	8	=	=	PUNCT
ejpam-6149	178	9	−µ	−µ	ADJ
ejpam-6149	178	10	and	and	CCONJ
ejpam-6149	178	11	λ2	λ2	NOUN
ejpam-6149	178	12	=	=	SYM
ejpam-6149	178	13	−a3	−a3	PROPN
ejpam-6149	178	14	and	and	CCONJ
ejpam-6149	178	15	the	the	DET
ejpam-6149	178	16	other	other	ADJ
ejpam-6149	178	17	roots	root	NOUN
ejpam-6149	178	18	are	be	AUX
ejpam-6149	178	19	determined	determine	VERB
ejpam-6149	178	20	by	by	ADP
ejpam-6149	178	21	the	the	DET
ejpam-6149	178	22	remaining	remain	VERB
ejpam-6149	178	23	factor	factor	NOUN
ejpam-6149	178	24	λ2	λ2	NOUN
ejpam-6149	178	25	+	+	CCONJ
ejpam-6149	178	26	(	(	PUNCT
ejpam-6149	178	27	a1	a1	NOUN
ejpam-6149	178	28	+	+	PROPN
ejpam-6149	178	29	a2	a2	PROPN
ejpam-6149	178	30	−	−	PROPN
ejpam-6149	178	31	βcω	βcω	SYM
ejpam-6149	178	32	µ	µ	X
ejpam-6149	178	33	)	)	PUNCT
ejpam-6149	179	1	λ+a1a2	λ+a1a2	NOUN
ejpam-6149	179	2	−	−	NOUN
ejpam-6149	179	3	βcω(a2	βcω(a2	PROPN
ejpam-6149	179	4	−	−	PROPN
ejpam-6149	179	5	rc	rc	PROPN
ejpam-6149	179	6	)	)	PUNCT
ejpam-6149	179	7	µ	µ	X
ejpam-6149	179	8	.	.	PUNCT
ejpam-6149	180	1	observe	observe	VERB
ejpam-6149	180	2	that	that	SCONJ
ejpam-6149	180	3	when	when	SCONJ
ejpam-6149	180	4	r0c	r0c	VERB
ejpam-6149	180	5	<	<	X
ejpam-6149	180	6	1	1	NUM
ejpam-6149	180	7	,	,	PUNCT
ejpam-6149	180	8	a1	a1	NOUN
ejpam-6149	180	9	+	+	PROPN
ejpam-6149	180	10	a2	a2	PROPN
ejpam-6149	180	11	−	−	PROPN
ejpam-6149	180	12	βcω	βcω	NOUN
ejpam-6149	180	13	µ	µ	X
ejpam-6149	180	14	>	>	X
ejpam-6149	180	15	0	0	X
ejpam-6149	180	16	.	.	PUNCT
ejpam-6149	181	1	moreover	moreover	ADV
ejpam-6149	181	2	,	,	PUNCT
ejpam-6149	181	3	a1a2	a1a2	ADP
ejpam-6149	181	4	−	−	NOUN
ejpam-6149	181	5	βcω(a2	βcω(a2	PROPN
ejpam-6149	181	6	−	−	PROPN
ejpam-6149	181	7	rc	rc	PROPN
ejpam-6149	181	8	)	)	PUNCT
ejpam-6149	181	9	µ	µ	X
ejpam-6149	181	10	=	=	SYM
ejpam-6149	181	11	a1a2(1−r0c	a1a2(1−r0c	PROPN
ejpam-6149	181	12	)	)	PUNCT
ejpam-6149	181	13	>	>	X
ejpam-6149	181	14	0	0	PUNCT
ejpam-6149	182	1	when	when	SCONJ
ejpam-6149	182	2	r0c	r0c	VERB
ejpam-6149	182	3	<	<	X
ejpam-6149	182	4	1	1	NUM
ejpam-6149	182	5	.	.	PUNCT
ejpam-6149	182	6	by	by	ADP
ejpam-6149	182	7	routh	routh	PROPN
ejpam-6149	182	8	-	-	PUNCT
ejpam-6149	182	9	hurwitz	hurwitz	PROPN
ejpam-6149	182	10	criterion	criterion	NOUN
ejpam-6149	182	11	,	,	PUNCT
ejpam-6149	182	12	all	all	DET
ejpam-6149	182	13	eigenvalues	eigenvalue	VERB
ejpam-6149	182	14	of	of	ADP
ejpam-6149	182	15	the	the	DET
ejpam-6149	182	16	second	second	ADJ
ejpam-6149	182	17	order	order	NOUN
ejpam-6149	182	18	polynomial	polynomial	NOUN
ejpam-6149	182	19	are	be	AUX
ejpam-6149	182	20	negative	negative	ADJ
ejpam-6149	182	21	,	,	PUNCT
ejpam-6149	182	22	which	which	PRON
ejpam-6149	182	23	means	mean	VERB
ejpam-6149	182	24	that	that	SCONJ
ejpam-6149	182	25	covid-19	covid-19	PROPN
ejpam-6149	182	26	sub	sub	ADJ
ejpam-6149	182	27	-	-	ADJ
ejpam-6149	182	28	model	model	ADJ
ejpam-6149	182	29	system	system	NOUN
ejpam-6149	182	30	(	(	PUNCT
ejpam-6149	182	31	2	2	X
ejpam-6149	182	32	)	)	PUNCT
ejpam-6149	182	33	is	be	AUX
ejpam-6149	182	34	locally	locally	ADV
ejpam-6149	182	35	asymptotically	asymptotically	ADV
ejpam-6149	182	36	stable	stable	ADJ
ejpam-6149	182	37	at	at	ADP
ejpam-6149	182	38	e0c	e0c	NOUN
ejpam-6149	182	39	when	when	SCONJ
ejpam-6149	182	40	r0c	r0c	VERB
ejpam-6149	182	41	<	<	X
ejpam-6149	182	42	1	1	NUM
ejpam-6149	182	43	and	and	CCONJ
ejpam-6149	182	44	unstable	unstable	ADJ
ejpam-6149	182	45	otherwise	otherwise	ADV
ejpam-6149	182	46	.	.	PUNCT
ejpam-6149	183	1	j.	j.	PROPN
ejpam-6149	183	2	puebla	puebla	PROPN
ejpam-6149	183	3	,	,	PUNCT
ejpam-6149	183	4	jm	jm	PROPN
ejpam-6149	183	5	.	.	PROPN
ejpam-6149	183	6	macalalag	macalalag	PROPN
ejpam-6149	183	7	,	,	PUNCT
ejpam-6149	183	8	k.	k.	PROPN
ejpam-6149	183	9	pajaron	pajaron	PROPN
ejpam-6149	183	10	/	/	SYM
ejpam-6149	183	11	eur	eur	PROPN
ejpam-6149	183	12	.	.	PUNCT
ejpam-6149	184	1	j.	j.	PROPN
ejpam-6149	184	2	pure	pure	PROPN
ejpam-6149	184	3	appl	appl	PROPN
ejpam-6149	184	4	.	.	PROPN
ejpam-6149	184	5	math	math	PROPN
ejpam-6149	184	6	,	,	PUNCT
ejpam-6149	184	7	18	18	NUM
ejpam-6149	184	8	(	(	PUNCT
ejpam-6149	184	9	3	3	NUM
ejpam-6149	184	10	)	)	PUNCT
ejpam-6149	184	11	(	(	PUNCT
ejpam-6149	184	12	2025	2025	NUM
ejpam-6149	184	13	)	)	PUNCT
ejpam-6149	184	14	,	,	PUNCT
ejpam-6149	184	15	6149	6149	NUM
ejpam-6149	184	16	9	9	NUM
ejpam-6149	184	17	of	of	ADP
ejpam-6149	184	18	28	28	NUM
ejpam-6149	184	19	theorem	theorem	NOUN
ejpam-6149	184	20	2	2	NUM
ejpam-6149	184	21	.	.	PUNCT
ejpam-6149	185	1	if	if	SCONJ
ejpam-6149	185	2	r0c	r0c	VERB
ejpam-6149	185	3	<	<	X
ejpam-6149	185	4	1	1	NUM
ejpam-6149	185	5	,	,	PUNCT
ejpam-6149	185	6	then	then	ADV
ejpam-6149	185	7	the	the	DET
ejpam-6149	185	8	covid-19	covid-19	PROPN
ejpam-6149	185	9	sub	sub	NOUN
ejpam-6149	185	10	-	-	NOUN
ejpam-6149	185	11	model	model	ADJ
ejpam-6149	185	12	(	(	PUNCT
ejpam-6149	185	13	2	2	NUM
ejpam-6149	185	14	)	)	PUNCT
ejpam-6149	185	15	is	be	AUX
ejpam-6149	185	16	globally	globally	ADV
ejpam-6149	185	17	asymptotically	asymptotically	ADV
ejpam-6149	185	18	stable	stable	ADJ
ejpam-6149	185	19	at	at	ADP
ejpam-6149	185	20	disease	disease	NOUN
ejpam-6149	185	21	-	-	PUNCT
ejpam-6149	185	22	free	free	ADJ
ejpam-6149	185	23	equilibrium	equilibrium	NOUN
ejpam-6149	185	24	e0c	e0c	PROPN
ejpam-6149	185	25	.	.	PUNCT
ejpam-6149	186	1	proof	proof	NOUN
ejpam-6149	186	2	.	.	PUNCT
ejpam-6149	187	1	consider	consider	VERB
ejpam-6149	187	2	the	the	DET
ejpam-6149	187	3	lyapunov	lyapunov	ADJ
ejpam-6149	187	4	function	function	NOUN
ejpam-6149	187	5	below	below	ADP
ejpam-6149	187	6	l	l	NOUN
ejpam-6149	187	7	=	=	PUNCT
ejpam-6149	187	8	(	(	PUNCT
ejpam-6149	187	9	δc	δc	X
ejpam-6149	187	10	+	+	CCONJ
ejpam-6149	187	11	µ+	µ+	PROPN
ejpam-6149	187	12	µ1)ec	µ1)ec	PROPN
ejpam-6149	187	13	+	+	CCONJ
ejpam-6149	187	14	(	(	PUNCT
ejpam-6149	187	15	βcω	βcω	NOUN
ejpam-6149	187	16	µ	µ	X
ejpam-6149	187	17	)	)	PUNCT
ejpam-6149	187	18	ic	ic	PROPN
ejpam-6149	187	19	.	.	PUNCT
ejpam-6149	188	1	the	the	DET
ejpam-6149	188	2	time	time	NOUN
ejpam-6149	188	3	derivative	derivative	NOUN
ejpam-6149	188	4	of	of	ADP
ejpam-6149	188	5	l	l	NOUN
ejpam-6149	188	6	computed	compute	VERB
ejpam-6149	188	7	along	along	ADP
ejpam-6149	188	8	the	the	DET
ejpam-6149	188	9	solution	solution	NOUN
ejpam-6149	188	10	of	of	ADP
ejpam-6149	188	11	(	(	PUNCT
ejpam-6149	188	12	2	2	NUM
ejpam-6149	188	13	)	)	PUNCT
ejpam-6149	188	14	is	be	AUX
ejpam-6149	188	15	negative	negative	ADJ
ejpam-6149	188	16	definite	definite	ADJ
ejpam-6149	188	17	.	.	PUNCT
ejpam-6149	189	1	that	that	PRON
ejpam-6149	189	2	is	be	AUX
ejpam-6149	189	3	,	,	PUNCT
ejpam-6149	189	4	·	·	PUNCT
ejpam-6149	189	5	l	l	PUNCT
ejpam-6149	190	1	=	=	PUNCT
ejpam-6149	190	2	(	(	PUNCT
ejpam-6149	190	3	δc	δc	X
ejpam-6149	190	4	+	+	CCONJ
ejpam-6149	190	5	µ+	µ+	PRON
ejpam-6149	190	6	µ1)e	µ1)e	NOUN
ejpam-6149	190	7	′	′	NUM
ejpam-6149	191	1	c	c	NOUN
ejpam-6149	192	1	+	+	CCONJ
ejpam-6149	192	2	(	(	PUNCT
ejpam-6149	192	3	βcω	βcω	NOUN
ejpam-6149	192	4	µ	µ	X
ejpam-6149	192	5	)	)	PUNCT
ejpam-6149	192	6	i	i	PRON
ejpam-6149	192	7	′	′	NUM
ejpam-6149	193	1	c	c	X
ejpam-6149	194	1	=	=	SYM
ejpam-6149	195	1	(	(	PUNCT
ejpam-6149	195	2	δc	δc	X
ejpam-6149	195	3	+	+	CCONJ
ejpam-6149	195	4	µ+	µ+	X
ejpam-6149	195	5	µ1	µ1	NOUN
ejpam-6149	195	6	)	)	PUNCT
ejpam-6149	195	7	[	[	PUNCT
ejpam-6149	195	8	βc(ec	βc(ec	VERB
ejpam-6149	195	9	+	+	CCONJ
ejpam-6149	195	10	ic)s	ic)s	PROPN
ejpam-6149	195	11	−	−	PROPN
ejpam-6149	196	1	(	(	PUNCT
ejpam-6149	196	2	rc	rc	PROPN
ejpam-6149	196	3	+	+	CCONJ
ejpam-6149	196	4	δe	δe	ADP
ejpam-6149	196	5	+	+	X
ejpam-6149	196	6	µ)ec	µ)ec	PROPN
ejpam-6149	196	7	]	]	PUNCT
ejpam-6149	197	1	+	+	CCONJ
ejpam-6149	197	2	(	(	PUNCT
ejpam-6149	197	3	βcω	βcω	NOUN
ejpam-6149	197	4	µ	µ	NOUN
ejpam-6149	197	5	)	)	PUNCT
ejpam-6149	197	6	[	[	PUNCT
ejpam-6149	197	7	rcec	rcec	VERB
ejpam-6149	197	8	−	−	PROPN
ejpam-6149	197	9	(	(	PUNCT
ejpam-6149	197	10	δc	δc	NOUN
ejpam-6149	197	11	+	+	CCONJ
ejpam-6149	197	12	µ+	µ+	PRON
ejpam-6149	197	13	µ1)ic	µ1)ic	PROPN
ejpam-6149	197	14	]	]	PUNCT
ejpam-6149	197	15	≤	≤	X
ejpam-6149	197	16	(	(	PUNCT
ejpam-6149	197	17	δc	δc	NOUN
ejpam-6149	197	18	+	+	CCONJ
ejpam-6149	197	19	µ+	µ+	X
ejpam-6149	197	20	µ1	µ1	NOUN
ejpam-6149	197	21	)	)	PUNCT
ejpam-6149	198	1	[	[	PUNCT
ejpam-6149	198	2	βc(ec	βc(ec	VERB
ejpam-6149	198	3	+	+	NUM
ejpam-6149	198	4	ic	ic	X
ejpam-6149	198	5	)	)	PUNCT
ejpam-6149	198	6	ω	ω	PROPN
ejpam-6149	198	7	µ	µ	NOUN
ejpam-6149	198	8	−	−	PROPN
ejpam-6149	198	9	(	(	PUNCT
ejpam-6149	198	10	rc	rc	PROPN
ejpam-6149	198	11	+	+	CCONJ
ejpam-6149	198	12	δe	δe	ADP
ejpam-6149	198	13	+	+	X
ejpam-6149	198	14	µ)ec	µ)ec	PROPN
ejpam-6149	198	15	]	]	PUNCT
ejpam-6149	199	1	+	+	CCONJ
ejpam-6149	199	2	(	(	PUNCT
ejpam-6149	199	3	βcω	βcω	NOUN
ejpam-6149	199	4	µ	µ	NOUN
ejpam-6149	199	5	)	)	PUNCT
ejpam-6149	199	6	[	[	PUNCT
ejpam-6149	199	7	rcec	rcec	VERB
ejpam-6149	199	8	−	−	PROPN
ejpam-6149	199	9	(	(	PUNCT
ejpam-6149	199	10	δc	δc	NOUN
ejpam-6149	199	11	+	+	CCONJ
ejpam-6149	199	12	µ+	µ+	X
ejpam-6149	199	13	µ1)ic	µ1)ic	PROPN
ejpam-6149	199	14	]	]	PUNCT
ejpam-6149	200	1	=	=	X
ejpam-6149	200	2	βcω(δc	βcω(δc	X
ejpam-6149	200	3	+	+	CCONJ
ejpam-6149	200	4	µ+	µ+	X
ejpam-6149	200	5	µ1)ec	µ1)ec	PROPN
ejpam-6149	200	6	µ	µ	X
ejpam-6149	200	7	−	−	PROPN
ejpam-6149	200	8	(	(	PUNCT
ejpam-6149	200	9	δc	δc	NOUN
ejpam-6149	200	10	+	+	CCONJ
ejpam-6149	200	11	µ+	µ+	VERB
ejpam-6149	200	12	µ1)(rc	µ1)(rc	VERB
ejpam-6149	200	13	+	+	ADP
ejpam-6149	200	14	δe	δe	NOUN
ejpam-6149	200	15	+	+	CCONJ
ejpam-6149	200	16	µ)ec	µ)ec	PROPN
ejpam-6149	200	17	+	+	NUM
ejpam-6149	200	18	βcωrcec	βcωrcec	VERB
ejpam-6149	200	19	µ	µ	X
ejpam-6149	200	20	=	=	X
ejpam-6149	200	21	βcω(δc	βcω(δc	X
ejpam-6149	200	22	+	+	CCONJ
ejpam-6149	200	23	µ+	µ+	X
ejpam-6149	200	24	µ1	µ1	PROPN
ejpam-6149	200	25	+	+	PROPN
ejpam-6149	200	26	rc)ec	rc)ec	PROPN
ejpam-6149	200	27	µ	µ	X
ejpam-6149	200	28	−	−	PROPN
ejpam-6149	200	29	(	(	PUNCT
ejpam-6149	200	30	δc	δc	NOUN
ejpam-6149	200	31	+	+	CCONJ
ejpam-6149	200	32	µ+	µ+	VERB
ejpam-6149	200	33	µ1)(rc	µ1)(rc	VERB
ejpam-6149	200	34	+	+	ADP
ejpam-6149	200	35	δe	δe	NOUN
ejpam-6149	200	36	+	+	NOUN
ejpam-6149	200	37	µ)ec	µ)ec	PROPN
ejpam-6149	200	38	=	=	PRON
ejpam-6149	201	1	[	[	PUNCT
ejpam-6149	201	2	(	(	PUNCT
ejpam-6149	201	3	δc	δc	NOUN
ejpam-6149	201	4	+	+	CCONJ
ejpam-6149	201	5	µ+	µ+	PRON
ejpam-6149	201	6	µ1)(rc	µ1)(rc	VERB
ejpam-6149	201	7	+	+	ADP
ejpam-6149	201	8	δe	δe	NOUN
ejpam-6149	201	9	+	+	X
ejpam-6149	201	10	µ)ec	µ)ec	PROPN
ejpam-6149	201	11	]	]	X
ejpam-6149	201	12	(	(	PUNCT
ejpam-6149	201	13	r0c	r0c	NOUN
ejpam-6149	201	14	−	−	NOUN
ejpam-6149	201	15	1	1	NUM
ejpam-6149	201	16	)	)	PUNCT
ejpam-6149	201	17	≤	≤	NOUN
ejpam-6149	201	18	0	0	PUNCT
ejpam-6149	202	1	if	if	SCONJ
ejpam-6149	202	2	r0c	r0c	VERB
ejpam-6149	202	3	<	<	X
ejpam-6149	202	4	1	1	NUM
ejpam-6149	202	5	.	.	PUNCT
ejpam-6149	202	6	because	because	SCONJ
ejpam-6149	202	7	all	all	DET
ejpam-6149	202	8	model	model	NOUN
ejpam-6149	202	9	parameters	parameter	NOUN
ejpam-6149	202	10	are	be	AUX
ejpam-6149	202	11	non	non	ADJ
ejpam-6149	202	12	-	-	ADJ
ejpam-6149	202	13	negative	negative	ADJ
ejpam-6149	202	14	,	,	PUNCT
ejpam-6149	202	15	it	it	PRON
ejpam-6149	202	16	follows	follow	VERB
ejpam-6149	202	17	that	that	PRON
ejpam-6149	202	18	·	·	PUNCT
ejpam-6149	203	1	l	l	NOUN
ejpam-6149	203	2	is	be	AUX
ejpam-6149	203	3	negative	negative	ADJ
ejpam-6149	203	4	semi	semi	ADJ
ejpam-6149	203	5	-	-	ADJ
ejpam-6149	203	6	definite	definite	ADJ
ejpam-6149	203	7	,	,	PUNCT
ejpam-6149	203	8	that	that	ADV
ejpam-6149	203	9	is	be	AUX
ejpam-6149	203	10	,	,	PUNCT
ejpam-6149	203	11	·	·	PUNCT
ejpam-6149	204	1	l	l	NOUN
ejpam-6149	204	2	≤	≤	NUM
ejpam-6149	204	3	0	0	PUNCT
ejpam-6149	205	1	if	if	SCONJ
ejpam-6149	205	2	r0c	r0c	VERB
ejpam-6149	205	3	<	<	X
ejpam-6149	205	4	1	1	NUM
ejpam-6149	205	5	.	.	PUNCT
ejpam-6149	206	1	if	if	SCONJ
ejpam-6149	206	2	the	the	DET
ejpam-6149	206	3	solution	solution	NOUN
ejpam-6149	206	4	x∗	x∗	PROPN
ejpam-6149	206	5	=	=	SYM
ejpam-6149	206	6	e0c	e0c	PROPN
ejpam-6149	206	7	,	,	PUNCT
ejpam-6149	206	8	then	then	ADV
ejpam-6149	206	9	·	·	PUNCT
ejpam-6149	206	10	l	l	PUNCT
ejpam-6149	206	11	=	=	SYM
ejpam-6149	206	12	0	0	X
ejpam-6149	206	13	.	.	PUNCT
ejpam-6149	207	1	conversely	conversely	ADV
ejpam-6149	207	2	,	,	PUNCT
ejpam-6149	207	3	if	if	SCONJ
ejpam-6149	207	4	·	·	PUNCT
ejpam-6149	207	5	l	l	NOUN
ejpam-6149	207	6	=	=	SYM
ejpam-6149	207	7	0	0	NUM
ejpam-6149	207	8	,	,	PUNCT
ejpam-6149	207	9	then	then	ADV
ejpam-6149	207	10	s	s	PART
ejpam-6149	207	11	=	=	SYM
ejpam-6149	207	12	ω	ω	PROPN
ejpam-6149	207	13	µ	µ	X
ejpam-6149	207	14	,	,	PUNCT
ejpam-6149	207	15	ec	ec	PROPN
ejpam-6149	207	16	=	=	SYM
ejpam-6149	207	17	0	0	PROPN
ejpam-6149	207	18	ic	ic	PROPN
ejpam-6149	207	19	=	=	SYM
ejpam-6149	207	20	0	0	PROPN
ejpam-6149	207	21	and	and	CCONJ
ejpam-6149	207	22	qc	qc	PROPN
ejpam-6149	207	23	=	=	SYM
ejpam-6149	207	24	0	0	PROPN
ejpam-6149	207	25	.	.	PUNCT
ejpam-6149	208	1	hence	hence	ADV
ejpam-6149	208	2	,	,	PUNCT
ejpam-6149	208	3	·	·	PUNCT
ejpam-6149	208	4	l	l	PUNCT
ejpam-6149	208	5	=	=	PUNCT
ejpam-6149	208	6	0	0	PUNCT
ejpam-6149	209	1	if	if	SCONJ
ejpam-6149	209	2	and	and	CCONJ
ejpam-6149	209	3	only	only	ADV
ejpam-6149	209	4	if	if	SCONJ
ejpam-6149	209	5	x∗	x∗	PROPN
ejpam-6149	209	6	=	=	SYM
ejpam-6149	209	7	e0c	e0c	PROPN
ejpam-6149	209	8	.	.	PUNCT
ejpam-6149	210	1	so	so	ADV
ejpam-6149	210	2	,	,	PUNCT
ejpam-6149	210	3	·	·	PUNCT
ejpam-6149	210	4	l	l	NOUN
ejpam-6149	210	5	is	be	AUX
ejpam-6149	210	6	a	a	DET
ejpam-6149	210	7	lyapunov	lyapunov	ADJ
ejpam-6149	210	8	function	function	NOUN
ejpam-6149	210	9	on	on	ADP
ejpam-6149	210	10	ωc	ωc	ADP
ejpam-6149	210	11	and	and	CCONJ
ejpam-6149	210	12	the	the	DET
ejpam-6149	210	13	largest	large	ADJ
ejpam-6149	210	14	compact	compact	ADJ
ejpam-6149	210	15	invariant	invariant	ADJ
ejpam-6149	210	16	set	set	VERB
ejpam-6149	210	17	in	in	ADP
ejpam-6149	210	18	{	{	PUNCT
ejpam-6149	210	19	(	(	PUNCT
ejpam-6149	210	20	s	s	PROPN
ejpam-6149	210	21	,	,	PUNCT
ejpam-6149	210	22	ec	ec	PROPN
ejpam-6149	210	23	,	,	PUNCT
ejpam-6149	210	24	ic	ic	PROPN
ejpam-6149	210	25	,	,	PUNCT
ejpam-6149	210	26	qc	qc	PROPN
ejpam-6149	210	27	)	)	PUNCT
ejpam-6149	210	28	∈	∈	PROPN
ejpam-6149	210	29	ωc	ωc	X
ejpam-6149	210	30	:	:	PUNCT
ejpam-6149	210	31	·	·	PUNCT
ejpam-6149	210	32	l	l	PUNCT
ejpam-6149	210	33	=	=	SYM
ejpam-6149	210	34	0	0	NUM
ejpam-6149	210	35	}	}	PUNCT
ejpam-6149	210	36	is	be	AUX
ejpam-6149	210	37	{	{	PUNCT
ejpam-6149	210	38	(	(	PUNCT
ejpam-6149	210	39	ωµ	ωµ	INTJ
ejpam-6149	210	40	,	,	PUNCT
ejpam-6149	210	41	0	0	NUM
ejpam-6149	210	42	,	,	PUNCT
ejpam-6149	210	43	0	0	NUM
ejpam-6149	210	44	,	,	PUNCT
ejpam-6149	210	45	0	0	NUM
ejpam-6149	210	46	)	)	PUNCT
ejpam-6149	210	47	}	}	PUNCT
ejpam-6149	210	48	.	.	PUNCT
ejpam-6149	211	1	thus	thus	ADV
ejpam-6149	211	2	,	,	PUNCT
ejpam-6149	211	3	by	by	ADP
ejpam-6149	211	4	lasalle	lasalle	PROPN
ejpam-6149	211	5	’s	’s	PART
ejpam-6149	211	6	invariance	invariance	NOUN
ejpam-6149	211	7	principle	principle	NOUN
ejpam-6149	211	8	,	,	PUNCT
ejpam-6149	211	9	every	every	DET
ejpam-6149	211	10	solution	solution	NOUN
ejpam-6149	211	11	of	of	ADP
ejpam-6149	211	12	system	system	NOUN
ejpam-6149	211	13	(	(	PUNCT
ejpam-6149	211	14	2	2	NUM
ejpam-6149	211	15	)	)	PUNCT
ejpam-6149	211	16	with	with	ADP
ejpam-6149	211	17	the	the	DET
ejpam-6149	211	18	initial	initial	ADJ
ejpam-6149	211	19	conditions	condition	NOUN
ejpam-6149	211	20	in	in	ADP
ejpam-6149	211	21	ωc	ωc	ADP
ejpam-6149	211	22	approaches	approach	NOUN
ejpam-6149	211	23	e0c	e0c	NOUN
ejpam-6149	211	24	=	=	SYM
ejpam-6149	211	25	(	(	PUNCT
ejpam-6149	211	26	ωµ	ωµ	INTJ
ejpam-6149	211	27	,	,	PUNCT
ejpam-6149	211	28	0	0	NUM
ejpam-6149	211	29	,	,	PUNCT
ejpam-6149	211	30	0	0	NUM
ejpam-6149	211	31	,	,	PUNCT
ejpam-6149	211	32	0	0	NUM
ejpam-6149	211	33	)	)	PUNCT
ejpam-6149	211	34	at	at	ADP
ejpam-6149	211	35	t	t	PROPN
ejpam-6149	211	36	→	→	SYM
ejpam-6149	211	37	∞	∞	PROPN
ejpam-6149	211	38	whenever	whenever	SCONJ
ejpam-6149	211	39	r0c	r0c	VERB
ejpam-6149	211	40	<	<	X
ejpam-6149	211	41	1	1	NUM
ejpam-6149	211	42	.	.	PUNCT
ejpam-6149	212	1	therefore	therefore	ADV
ejpam-6149	212	2	,	,	PUNCT
ejpam-6149	212	3	the	the	DET
ejpam-6149	212	4	covid-19	covid-19	PROPN
ejpam-6149	212	5	sub	sub	NOUN
ejpam-6149	212	6	-	-	NOUN
ejpam-6149	212	7	model	model	ADJ
ejpam-6149	212	8	(	(	PUNCT
ejpam-6149	212	9	2	2	NUM
ejpam-6149	212	10	)	)	PUNCT
ejpam-6149	212	11	is	be	AUX
ejpam-6149	212	12	globally	globally	ADV
ejpam-6149	212	13	asymptotically	asymptotically	ADV
ejpam-6149	212	14	stable	stable	ADJ
ejpam-6149	212	15	at	at	ADP
ejpam-6149	212	16	the	the	DET
ejpam-6149	212	17	disease	disease	NOUN
ejpam-6149	212	18	-	-	PUNCT
ejpam-6149	212	19	free	free	ADJ
ejpam-6149	212	20	equilibrium	equilibrium	NOUN
ejpam-6149	212	21	point	point	NOUN
ejpam-6149	212	22	e0c	e0c	PROPN
ejpam-6149	213	1	=	=	SYM
ejpam-6149	213	2	(	(	PUNCT
ejpam-6149	213	3	ωµ	ωµ	INTJ
ejpam-6149	213	4	,	,	PUNCT
ejpam-6149	213	5	0	0	NUM
ejpam-6149	213	6	,	,	PUNCT
ejpam-6149	213	7	0	0	NUM
ejpam-6149	213	8	,	,	PUNCT
ejpam-6149	213	9	0	0	NUM
ejpam-6149	213	10	)	)	PUNCT
ejpam-6149	213	11	if	if	SCONJ
ejpam-6149	213	12	r0c	r0c	VERB
ejpam-6149	213	13	<	<	X
ejpam-6149	213	14	1	1	NUM
ejpam-6149	213	15	.	.	PUNCT
ejpam-6149	214	1	the	the	DET
ejpam-6149	214	2	next	next	ADJ
ejpam-6149	214	3	result	result	NOUN
ejpam-6149	214	4	shows	show	VERB
ejpam-6149	214	5	the	the	DET
ejpam-6149	214	6	existence	existence	NOUN
ejpam-6149	214	7	of	of	ADP
ejpam-6149	214	8	a	a	DET
ejpam-6149	214	9	unique	unique	ADJ
ejpam-6149	214	10	positive	positive	ADJ
ejpam-6149	214	11	endemic	endemic	ADJ
ejpam-6149	214	12	equilibrium	equilibrium	NOUN
ejpam-6149	214	13	for	for	ADP
ejpam-6149	214	14	the	the	DET
ejpam-6149	214	15	covid-19	covid-19	PROPN
ejpam-6149	214	16	sub	sub	NOUN
ejpam-6149	214	17	-	-	NOUN
ejpam-6149	214	18	model	model	ADJ
ejpam-6149	214	19	(	(	PUNCT
ejpam-6149	214	20	2	2	NUM
ejpam-6149	214	21	)	)	PUNCT
ejpam-6149	214	22	.	.	PUNCT
ejpam-6149	215	1	note	note	VERB
ejpam-6149	215	2	that	that	SCONJ
ejpam-6149	215	3	the	the	DET
ejpam-6149	215	4	positive	positive	ADJ
ejpam-6149	215	5	endemic	endemic	ADJ
ejpam-6149	215	6	equilibrium	equilibrium	NOUN
ejpam-6149	215	7	for	for	ADP
ejpam-6149	215	8	the	the	DET
ejpam-6149	215	9	covid-19	covid-19	PROPN
ejpam-6149	215	10	sub	sub	NOUN
ejpam-6149	215	11	-	-	NOUN
ejpam-6149	215	12	model	model	ADJ
ejpam-6149	215	13	(	(	PUNCT
ejpam-6149	215	14	2	2	NUM
ejpam-6149	215	15	)	)	PUNCT
ejpam-6149	215	16	can	can	AUX
ejpam-6149	215	17	be	be	AUX
ejpam-6149	215	18	expressed	express	VERB
ejpam-6149	215	19	in	in	ADP
ejpam-6149	215	20	terms	term	NOUN
ejpam-6149	215	21	of	of	ADP
ejpam-6149	215	22	r0c	r0c	NOUN
ejpam-6149	215	23	,	,	PUNCT
ejpam-6149	215	24	that	that	ADV
ejpam-6149	215	25	is	is	ADV
ejpam-6149	215	26	,	,	PUNCT
ejpam-6149	215	27	s∗	s∗	PROPN
ejpam-6149	215	28	=	=	SYM
ejpam-6149	215	29	ω	ω	PROPN
ejpam-6149	215	30	µr0c	µr0c	PROPN
ejpam-6149	215	31	,	,	PUNCT
ejpam-6149	215	32	e∗	e∗	PROPN
ejpam-6149	215	33	c	c	NOUN
ejpam-6149	216	1	=	=	SYM
ejpam-6149	216	2	ω(r0c	ω(r0c	ADJ
ejpam-6149	217	1	−	−	NOUN
ejpam-6149	217	2	1	1	NUM
ejpam-6149	217	3	)	)	PUNCT
ejpam-6149	217	4	(	(	PUNCT
ejpam-6149	217	5	rc	rc	PROPN
ejpam-6149	217	6	+	+	CCONJ
ejpam-6149	217	7	δe	δe	X
ejpam-6149	217	8	+	+	ADV
ejpam-6149	217	9	µ)r0c	µ)r0c	ADJ
ejpam-6149	217	10	,	,	PUNCT
ejpam-6149	217	11	i∗c	i∗c	PUNCT
ejpam-6149	217	12	=	=	PUNCT
ejpam-6149	217	13	rcω(r0c	rcω(r0c	NOUN
ejpam-6149	217	14	−	−	NOUN
ejpam-6149	217	15	1	1	NUM
ejpam-6149	217	16	)	)	PUNCT
ejpam-6149	217	17	(	(	PUNCT
ejpam-6149	217	18	rc	rc	PROPN
ejpam-6149	217	19	+	+	CCONJ
ejpam-6149	217	20	δe	δe	X
ejpam-6149	217	21	+	+	ADV
ejpam-6149	217	22	µ)r0c	µ)r0c	ADJ
ejpam-6149	217	23	(	(	PUNCT
ejpam-6149	217	24	δc	δc	NOUN
ejpam-6149	217	25	+	+	CCONJ
ejpam-6149	217	26	µ+	µ+	X
ejpam-6149	217	27	µ1	µ1	NOUN
ejpam-6149	217	28	)	)	PUNCT
ejpam-6149	217	29	,	,	PUNCT
ejpam-6149	217	30	and	and	CCONJ
ejpam-6149	217	31	q∗	q∗	NOUN
ejpam-6149	217	32	c	c	NOUN
ejpam-6149	217	33	=	=	PUNCT
ejpam-6149	217	34	(	(	PUNCT
ejpam-6149	217	35	r0c	r0c	VERB
ejpam-6149	217	36	−	−	PROPN
ejpam-6149	217	37	1)(δeω(δc	1)(δeω(δc	NUM
ejpam-6149	217	38	+	+	CCONJ
ejpam-6149	217	39	µ+	µ+	X
ejpam-6149	217	40	µ1	µ1	NOUN
ejpam-6149	217	41	)	)	PUNCT
ejpam-6149	217	42	+	+	NUM
ejpam-6149	217	43	δcrcω	δcrcω	ADJ
ejpam-6149	217	44	)	)	PUNCT
ejpam-6149	217	45	(	(	PUNCT
ejpam-6149	217	46	rc	rc	PROPN
ejpam-6149	217	47	+	+	CCONJ
ejpam-6149	217	48	δe	δe	X
ejpam-6149	217	49	+	+	ADV
ejpam-6149	217	50	µ)r0c	µ)r0c	ADJ
ejpam-6149	217	51	(	(	PUNCT
ejpam-6149	217	52	δc	δc	NOUN
ejpam-6149	217	53	+	+	CCONJ
ejpam-6149	217	54	µ+	µ+	X
ejpam-6149	217	55	µ1)(γc	µ1)(γc	PROPN
ejpam-6149	217	56	+	+	NUM
ejpam-6149	217	57	µ+	µ+	X
ejpam-6149	217	58	µ1	µ1	NOUN
ejpam-6149	217	59	)	)	PUNCT
ejpam-6149	217	60	.	.	PUNCT
ejpam-6149	218	1	hence	hence	ADV
ejpam-6149	218	2	,	,	PUNCT
ejpam-6149	218	3	we	we	PRON
ejpam-6149	218	4	have	have	VERB
ejpam-6149	218	5	the	the	DET
ejpam-6149	218	6	following	follow	VERB
ejpam-6149	218	7	result	result	NOUN
ejpam-6149	218	8	.	.	PUNCT
ejpam-6149	219	1	j.	j.	PROPN
ejpam-6149	219	2	puebla	puebla	PROPN
ejpam-6149	219	3	,	,	PUNCT
ejpam-6149	219	4	jm	jm	PROPN
ejpam-6149	219	5	.	.	PROPN
ejpam-6149	219	6	macalalag	macalalag	PROPN
ejpam-6149	219	7	,	,	PUNCT
ejpam-6149	219	8	k.	k.	PROPN
ejpam-6149	219	9	pajaron	pajaron	PROPN
ejpam-6149	219	10	/	/	SYM
ejpam-6149	219	11	eur	eur	PROPN
ejpam-6149	219	12	.	.	PUNCT
ejpam-6149	220	1	j.	j.	PROPN
ejpam-6149	220	2	pure	pure	PROPN
ejpam-6149	220	3	appl	appl	PROPN
ejpam-6149	220	4	.	.	PROPN
ejpam-6149	220	5	math	math	PROPN
ejpam-6149	220	6	,	,	PUNCT
ejpam-6149	220	7	18	18	NUM
ejpam-6149	220	8	(	(	PUNCT
ejpam-6149	220	9	3	3	NUM
ejpam-6149	220	10	)	)	PUNCT
ejpam-6149	220	11	(	(	PUNCT
ejpam-6149	220	12	2025	2025	NUM
ejpam-6149	220	13	)	)	PUNCT
ejpam-6149	220	14	,	,	PUNCT
ejpam-6149	220	15	6149	6149	NUM
ejpam-6149	220	16	10	10	NUM
ejpam-6149	220	17	of	of	ADP
ejpam-6149	220	18	28	28	NUM
ejpam-6149	220	19	theorem	theorem	NOUN
ejpam-6149	220	20	3	3	X
ejpam-6149	220	21	.	.	PUNCT
ejpam-6149	221	1	if	if	SCONJ
ejpam-6149	221	2	r0c	r0c	VERB
ejpam-6149	221	3	>	>	X
ejpam-6149	221	4	1	1	NUM
ejpam-6149	221	5	,	,	PUNCT
ejpam-6149	221	6	then	then	ADV
ejpam-6149	221	7	the	the	DET
ejpam-6149	221	8	covid-19	covid-19	PROPN
ejpam-6149	221	9	sub	sub	NOUN
ejpam-6149	221	10	-	-	NOUN
ejpam-6149	221	11	model	model	ADJ
ejpam-6149	221	12	(	(	PUNCT
ejpam-6149	221	13	2	2	NUM
ejpam-6149	221	14	)	)	PUNCT
ejpam-6149	221	15	has	have	VERB
ejpam-6149	221	16	a	a	DET
ejpam-6149	221	17	unique	unique	ADJ
ejpam-6149	221	18	positive	positive	ADJ
ejpam-6149	221	19	endemic	endemic	ADJ
ejpam-6149	221	20	equilibrium	equilibrium	NOUN
ejpam-6149	221	21	.	.	PUNCT
ejpam-6149	222	1	theorem	theorem	VERB
ejpam-6149	222	2	4	4	NUM
ejpam-6149	222	3	.	.	PUNCT
ejpam-6149	223	1	if	if	SCONJ
ejpam-6149	223	2	r0c	r0c	VERB
ejpam-6149	223	3	>	>	X
ejpam-6149	223	4	1	1	NUM
ejpam-6149	223	5	,	,	PUNCT
ejpam-6149	223	6	then	then	ADV
ejpam-6149	223	7	the	the	DET
ejpam-6149	223	8	covid-19	covid-19	PROPN
ejpam-6149	223	9	sub	sub	NOUN
ejpam-6149	223	10	-	-	NOUN
ejpam-6149	223	11	model	model	ADJ
ejpam-6149	223	12	(	(	PUNCT
ejpam-6149	223	13	2	2	NUM
ejpam-6149	223	14	)	)	PUNCT
ejpam-6149	223	15	is	be	AUX
ejpam-6149	223	16	locally	locally	ADV
ejpam-6149	223	17	asymptotically	asymptotically	ADV
ejpam-6149	223	18	stable	stable	ADJ
ejpam-6149	223	19	at	at	ADP
ejpam-6149	223	20	the	the	DET
ejpam-6149	223	21	endemic	endemic	ADJ
ejpam-6149	223	22	equilibrium	equilibrium	NOUN
ejpam-6149	223	23	e1c	e1c	ADV
ejpam-6149	223	24	and	and	CCONJ
ejpam-6149	223	25	unstable	unstable	ADJ
ejpam-6149	223	26	otherwise	otherwise	ADV
ejpam-6149	223	27	.	.	PUNCT
ejpam-6149	224	1	proof	proof	NOUN
ejpam-6149	224	2	.	.	PUNCT
ejpam-6149	225	1	the	the	DET
ejpam-6149	225	2	jacobian	jacobian	ADJ
ejpam-6149	225	3	matrix	matrix	NOUN
ejpam-6149	225	4	of	of	ADP
ejpam-6149	225	5	system	system	NOUN
ejpam-6149	225	6	(	(	PUNCT
ejpam-6149	225	7	2	2	X
ejpam-6149	225	8	)	)	PUNCT
ejpam-6149	225	9	evaluated	evaluate	VERB
ejpam-6149	225	10	at	at	ADP
ejpam-6149	225	11	the	the	DET
ejpam-6149	225	12	endemic	endemic	ADJ
ejpam-6149	225	13	equilibrium	equilibrium	NOUN
ejpam-6149	225	14	point	point	NOUN
ejpam-6149	225	15	e1c	e1c	ADV
ejpam-6149	225	16	is	be	AUX
ejpam-6149	225	17	given	give	VERB
ejpam-6149	225	18	by	by	ADP
ejpam-6149	225	19	je1c	je1c	PROPN
ejpam-6149	225	20	=	=	SYM
ejpam-6149	225	21			NOUN
ejpam-6149	225	22	−βc(e	−βc(e	X
ejpam-6149	225	23	∗	∗	NOUN
ejpam-6149	225	24	c	c	NOUN
ejpam-6149	225	25	+	+	CCONJ
ejpam-6149	225	26	i∗c)−	i∗c)−	NOUN
ejpam-6149	225	27	µ	µ	PRON
ejpam-6149	225	28	−βcs	−βcs	NOUN
ejpam-6149	225	29	∗	∗	NOUN
ejpam-6149	225	30	−βcs	−βcs	NOUN
ejpam-6149	225	31	∗	∗	NOUN
ejpam-6149	225	32	0	0	NUM
ejpam-6149	225	33	βc(e	βc(e	X
ejpam-6149	225	34	∗	∗	NOUN
ejpam-6149	225	35	c	c	NOUN
ejpam-6149	225	36	+	+	CCONJ
ejpam-6149	225	37	i∗c	i∗c	X
ejpam-6149	225	38	)	)	PUNCT
ejpam-6149	225	39	βcs	βcs	VERB
ejpam-6149	225	40	∗	∗	NOUN
ejpam-6149	225	41	−a1	−a1	VERB
ejpam-6149	225	42	βcs	βcs	ADJ
ejpam-6149	225	43	∗	∗	NOUN
ejpam-6149	225	44	0	0	NUM
ejpam-6149	225	45	0	0	NUM
ejpam-6149	226	1	rc	rc	PROPN
ejpam-6149	226	2	−a2	−a2	NOUN
ejpam-6149	226	3	0	0	PROPN
ejpam-6149	226	4	0	0	NUM
ejpam-6149	226	5	δe	δe	NOUN
ejpam-6149	226	6	δc	δc	NOUN
ejpam-6149	226	7	−a3	−a3	PROPN
ejpam-6149	226	8			PROPN
ejpam-6149	226	9	,	,	PUNCT
ejpam-6149	226	10	where	where	SCONJ
ejpam-6149	226	11	a1	a1	NOUN
ejpam-6149	226	12	,	,	PUNCT
ejpam-6149	226	13	a2	a2	PROPN
ejpam-6149	226	14	and	and	CCONJ
ejpam-6149	226	15	a3	a3	NOUN
ejpam-6149	226	16	are	be	AUX
ejpam-6149	226	17	given	give	VERB
ejpam-6149	226	18	in	in	ADP
ejpam-6149	226	19	(	(	PUNCT
ejpam-6149	226	20	5	5	NUM
ejpam-6149	226	21	)	)	PUNCT
ejpam-6149	226	22	.	.	PUNCT
ejpam-6149	227	1	then	then	ADV
ejpam-6149	227	2	the	the	DET
ejpam-6149	227	3	characteristic	characteristic	ADJ
ejpam-6149	227	4	polynomial	polynomial	NOUN
ejpam-6149	227	5	of	of	ADP
ejpam-6149	227	6	je1c	je1c	PROPN
ejpam-6149	227	7	is	be	AUX
ejpam-6149	227	8	je1c	je1c	PROPN
ejpam-6149	227	9	(	(	PUNCT
ejpam-6149	227	10	λ	λ	NOUN
ejpam-6149	227	11	)	)	PUNCT
ejpam-6149	227	12	=(	=(	NOUN
ejpam-6149	228	1	−a3	−a3	PROPN
ejpam-6149	228	2	−	−	PROPN
ejpam-6149	228	3	λ	λ	PROPN
ejpam-6149	228	4	)	)	PUNCT
ejpam-6149	228	5	(	(	PUNCT
ejpam-6149	228	6	λ3	λ3	PROPN
ejpam-6149	228	7	−	−	PROPN
ejpam-6149	228	8	(	(	PUNCT
ejpam-6149	228	9	−a2	−a2	NOUN
ejpam-6149	228	10	+	+	CCONJ
ejpam-6149	228	11	βcs	βcs	NOUN
ejpam-6149	228	12	∗	∗	NOUN
ejpam-6149	228	13	−a1	−a1	VERB
ejpam-6149	228	14	−	−	NOUN
ejpam-6149	228	15	βce	βce	NOUN
ejpam-6149	228	16	∗	∗	NOUN
ejpam-6149	228	17	−	−	PROPN
ejpam-6149	228	18	βci	βci	NOUN
ejpam-6149	228	19	∗	∗	NOUN
ejpam-6149	228	20	−	−	PROPN
ejpam-6149	229	1	µ)λ2	µ)λ2	PROPN
ejpam-6149	229	2	−	−	PROPN
ejpam-6149	229	3	(	(	PUNCT
ejpam-6149	229	4	−βca1e	−βca1e	NOUN
ejpam-6149	229	5	∗	∗	NOUN
ejpam-6149	229	6	−	−	NOUN
ejpam-6149	229	7	βca1i	βca1i	PUNCT
ejpam-6149	229	8	∗	∗	NOUN
ejpam-6149	229	9	−	−	NOUN
ejpam-6149	229	10	βca2e	βca2e	PUNCT
ejpam-6149	229	11	∗	∗	NOUN
ejpam-6149	229	12	−	−	PROPN
ejpam-6149	229	13	βca2i	βca2i	PROPN
ejpam-6149	229	14	∗	∗	NOUN
ejpam-6149	229	15	+	+	NUM
ejpam-6149	229	16	βca2s	βca2s	NOUN
ejpam-6149	229	17	∗	∗	NOUN
ejpam-6149	229	18	+	+	NUM
ejpam-6149	229	19	βcµs	βcµs	ADJ
ejpam-6149	229	20	∗	∗	NOUN
ejpam-6149	229	21	+	+	CCONJ
ejpam-6149	229	22	βcrcs	βcrcs	NOUN
ejpam-6149	229	23	∗	∗	NOUN
ejpam-6149	229	24	−a1a2	−a1a2	NOUN
ejpam-6149	229	25	−	−	PROPN
ejpam-6149	229	26	µa1	µa1	NOUN
ejpam-6149	229	27	−	−	PROPN
ejpam-6149	229	28	µa2)λ+	µa2)λ+	PROPN
ejpam-6149	229	29	βca1a2i	βca1a2i	NOUN
ejpam-6149	229	30	∗	∗	NOUN
ejpam-6149	229	31	−	−	PROPN
ejpam-6149	230	1	βcµa2s	βcµa2s	PROPN
ejpam-6149	230	2	∗	∗	PROPN
ejpam-6149	230	3	−	−	PROPN
ejpam-6149	230	4	βcµrcs	βcµrcs	NOUN
ejpam-6149	230	5	∗	∗	NOUN
ejpam-6149	230	6	+	+	X
ejpam-6149	231	1	µa1a2	µa1a2	X
ejpam-6149	231	2	)	)	PUNCT
ejpam-6149	231	3	certainly	certainly	ADV
ejpam-6149	231	4	,	,	PUNCT
ejpam-6149	231	5	the	the	DET
ejpam-6149	231	6	eigenvalue	eigenvalue	PROPN
ejpam-6149	231	7	λ	λ	PROPN
ejpam-6149	231	8	=	=	SYM
ejpam-6149	231	9	−a3	−a3	PROPN
ejpam-6149	231	10	<	<	X
ejpam-6149	231	11	0	0	NUM
ejpam-6149	231	12	.	.	PUNCT
ejpam-6149	232	1	the	the	DET
ejpam-6149	232	2	other	other	ADJ
ejpam-6149	232	3	eigenvalues	eigenvalue	NOUN
ejpam-6149	232	4	are	be	AUX
ejpam-6149	232	5	determined	determine	VERB
ejpam-6149	232	6	by	by	ADP
ejpam-6149	232	7	the	the	DET
ejpam-6149	232	8	cubic	cubic	ADJ
ejpam-6149	232	9	polynomial	polynomial	ADJ
ejpam-6149	232	10	factor	factor	NOUN
ejpam-6149	232	11	.	.	PUNCT
ejpam-6149	233	1	set	set	VERB
ejpam-6149	233	2	the	the	DET
ejpam-6149	233	3	coefficients	coefficient	NOUN
ejpam-6149	233	4	and	and	CCONJ
ejpam-6149	233	5	constant	constant	ADJ
ejpam-6149	233	6	term	term	NOUN
ejpam-6149	233	7	of	of	ADP
ejpam-6149	233	8	the	the	DET
ejpam-6149	233	9	cubic	cubic	ADJ
ejpam-6149	233	10	polynomial	polynomial	NOUN
ejpam-6149	233	11	as	as	SCONJ
ejpam-6149	233	12	follows	follow	VERB
ejpam-6149	233	13	:	:	PUNCT
ejpam-6149	233	14	a1	a1	NOUN
ejpam-6149	233	15	as	as	ADP
ejpam-6149	233	16	the	the	DET
ejpam-6149	233	17	coefficient	coefficient	NOUN
ejpam-6149	233	18	of	of	ADP
ejpam-6149	233	19	λ2	λ2	PROPN
ejpam-6149	233	20	,	,	PUNCT
ejpam-6149	233	21	a2	a2	PROPN
ejpam-6149	233	22	as	as	ADP
ejpam-6149	233	23	the	the	DET
ejpam-6149	233	24	coefficient	coefficient	NOUN
ejpam-6149	233	25	of	of	ADP
ejpam-6149	233	26	λ	λ	PROPN
ejpam-6149	233	27	and	and	CCONJ
ejpam-6149	233	28	a3	a3	NOUN
ejpam-6149	233	29	as	as	ADP
ejpam-6149	233	30	the	the	DET
ejpam-6149	233	31	constant	constant	ADJ
ejpam-6149	233	32	term	term	NOUN
ejpam-6149	233	33	.	.	PUNCT
ejpam-6149	234	1	by	by	ADP
ejpam-6149	234	2	routh	routh	PROPN
ejpam-6149	234	3	hurwitz	hurwitz	PROPN
ejpam-6149	234	4	criterion	criterion	NOUN
ejpam-6149	234	5	,	,	PUNCT
ejpam-6149	234	6	the	the	DET
ejpam-6149	234	7	eigenvalues	eigenvalue	NOUN
ejpam-6149	234	8	that	that	PRON
ejpam-6149	234	9	are	be	AUX
ejpam-6149	234	10	determined	determine	VERB
ejpam-6149	234	11	by	by	ADP
ejpam-6149	234	12	cubic	cubic	ADJ
ejpam-6149	234	13	polynomial	polynomial	NOUN
ejpam-6149	234	14	have	have	VERB
ejpam-6149	234	15	negative	negative	ADJ
ejpam-6149	234	16	real	real	ADJ
ejpam-6149	234	17	parts	part	NOUN
ejpam-6149	234	18	if	if	SCONJ
ejpam-6149	234	19	the	the	DET
ejpam-6149	234	20	following	follow	VERB
ejpam-6149	234	21	conditions	condition	NOUN
ejpam-6149	234	22	are	be	AUX
ejpam-6149	234	23	satisfied	satisfied	ADJ
ejpam-6149	234	24	:	:	PUNCT
ejpam-6149	234	25	a1	a1	NOUN
ejpam-6149	234	26	,	,	PUNCT
ejpam-6149	234	27	a2	a2	PROPN
ejpam-6149	234	28	,	,	PUNCT
ejpam-6149	234	29	and	and	CCONJ
ejpam-6149	234	30	a3	a3	NOUN
ejpam-6149	234	31	are	be	AUX
ejpam-6149	234	32	all	all	ADV
ejpam-6149	234	33	positive	positive	ADJ
ejpam-6149	234	34	and	and	CCONJ
ejpam-6149	234	35	a1a2	a1a2	INTJ
ejpam-6149	234	36	>	>	X
ejpam-6149	234	37	a3	a3	NOUN
ejpam-6149	234	38	.	.	PUNCT
ejpam-6149	235	1	by	by	ADP
ejpam-6149	235	2	theorem	theorem	NOUN
ejpam-6149	235	3	(	(	PUNCT
ejpam-6149	235	4	3	3	NUM
ejpam-6149	235	5	)	)	PUNCT
ejpam-6149	235	6	,	,	PUNCT
ejpam-6149	235	7	a1	a1	NOUN
ejpam-6149	235	8	,	,	PUNCT
ejpam-6149	235	9	a2	a2	PROPN
ejpam-6149	235	10	,	,	PUNCT
ejpam-6149	235	11	and	and	CCONJ
ejpam-6149	235	12	a3	a3	NOUN
ejpam-6149	235	13	can	can	AUX
ejpam-6149	235	14	be	be	AUX
ejpam-6149	235	15	expressed	express	VERB
ejpam-6149	235	16	as	as	ADP
ejpam-6149	235	17	a1	a1	NOUN
ejpam-6149	235	18	=	=	PROPN
ejpam-6149	235	19	a2	a2	PROPN
ejpam-6149	235	20	+	+	CCONJ
ejpam-6149	235	21	βcωrca1	βcωrca1	ADJ
ejpam-6149	235	22	βcωa2	βcωa2	NOUN
ejpam-6149	236	1	+	+	CCONJ
ejpam-6149	236	2	βcωrc	βcωrc	NOUN
ejpam-6149	237	1	+	+	CCONJ
ejpam-6149	237	2	βcω(r0c	βcω(r0c	NOUN
ejpam-6149	238	1	−	−	NOUN
ejpam-6149	238	2	1	1	NUM
ejpam-6149	238	3	)	)	PUNCT
ejpam-6149	238	4	a1r0c	a1r0c	PUNCT
ejpam-6149	239	1	+	+	PUNCT
ejpam-6149	240	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	240	2	−	−	NOUN
ejpam-6149	240	3	1	1	NUM
ejpam-6149	240	4	)	)	PUNCT
ejpam-6149	240	5	a1r0c	a1r0c	PUNCT
ejpam-6149	241	1	+	+	NUM
ejpam-6149	241	2	µ	µ	X
ejpam-6149	241	3	a2	a2	NOUN
ejpam-6149	241	4	=	=	PUNCT
ejpam-6149	241	5	βcω(r0c	βcω(r0c	PUNCT
ejpam-6149	242	1	−	−	NOUN
ejpam-6149	242	2	1	1	X
ejpam-6149	242	3	)	)	PUNCT
ejpam-6149	242	4	r0c	r0c	VERB
ejpam-6149	243	1	+	+	CCONJ
ejpam-6149	244	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	244	2	−	−	NOUN
ejpam-6149	244	3	1	1	NUM
ejpam-6149	244	4	)	)	PUNCT
ejpam-6149	244	5	a2r0c	a2r0c	PUNCT
ejpam-6149	245	1	+	+	PUNCT
ejpam-6149	245	2	βcωa2(r0c	βcωa2(r0c	NUM
ejpam-6149	245	3	−	−	NOUN
ejpam-6149	245	4	1	1	NUM
ejpam-6149	245	5	)	)	PUNCT
ejpam-6149	245	6	a1r0c	a1r0c	PUNCT
ejpam-6149	246	1	+	+	PUNCT
ejpam-6149	247	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	247	2	−	−	NOUN
ejpam-6149	247	3	1	1	NUM
ejpam-6149	247	4	)	)	PUNCT
ejpam-6149	247	5	a1r0c	a1r0c	PUNCT
ejpam-6149	248	1	+	+	NUM
ejpam-6149	248	2	βcωrcµa1	βcωrcµa1	NOUN
ejpam-6149	248	3	βcωa2	βcωa2	NOUN
ejpam-6149	249	1	+	+	CCONJ
ejpam-6149	249	2	βcωrc	βcωrc	ADJ
ejpam-6149	249	3	+	+	CCONJ
ejpam-6149	249	4	µa2	µa2	NOUN
ejpam-6149	249	5	a3	a3	NOUN
ejpam-6149	249	6	=	=	PUNCT
ejpam-6149	250	1	βcωa2(r0c	βcωa2(r0c	PRON
ejpam-6149	250	2	−	−	NOUN
ejpam-6149	250	3	1	1	X
ejpam-6149	250	4	)	)	PUNCT
ejpam-6149	250	5	r0c	r0c	VERB
ejpam-6149	251	1	+	+	CCONJ
ejpam-6149	252	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	252	2	−	−	NOUN
ejpam-6149	252	3	1	1	X
ejpam-6149	252	4	)	)	PUNCT
ejpam-6149	252	5	r0c	r0c	VERB
ejpam-6149	252	6	moreover	moreover	ADV
ejpam-6149	252	7	,	,	PUNCT
ejpam-6149	252	8	a1a2	a1a2	ADP
ejpam-6149	252	9	=	=	X
ejpam-6149	252	10	βcωa2(r0c	βcωa2(r0c	NOUN
ejpam-6149	252	11	−	−	NOUN
ejpam-6149	252	12	1	1	X
ejpam-6149	252	13	)	)	PUNCT
ejpam-6149	252	14	r0c	r0c	VERB
ejpam-6149	253	1	+	+	CCONJ
ejpam-6149	254	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	254	2	−	−	NOUN
ejpam-6149	254	3	1	1	X
ejpam-6149	254	4	)	)	PUNCT
ejpam-6149	254	5	r0c	r0c	VERB
ejpam-6149	254	6	+	+	NOUN
ejpam-6149	254	7	∆	∆	X
ejpam-6149	254	8	=	=	NOUN
ejpam-6149	254	9	a3	a3	NOUN
ejpam-6149	254	10	+	+	SYM
ejpam-6149	254	11	∆	∆	PROPN
ejpam-6149	254	12	,	,	PUNCT
ejpam-6149	254	13	where	where	SCONJ
ejpam-6149	254	14	∆	∆	PROPN
ejpam-6149	254	15	=	=	X
ejpam-6149	254	16	a2	a2	PROPN
ejpam-6149	254	17	(	(	PUNCT
ejpam-6149	254	18	βcωa2(r0c	βcωa2(r0c	NOUN
ejpam-6149	254	19	−	−	NOUN
ejpam-6149	254	20	1	1	NUM
ejpam-6149	254	21	)	)	PUNCT
ejpam-6149	254	22	a1r0c	a1r0c	PUNCT
ejpam-6149	255	1	+	+	PUNCT
ejpam-6149	256	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	256	2	−	−	NOUN
ejpam-6149	256	3	1	1	NUM
ejpam-6149	256	4	)	)	PUNCT
ejpam-6149	256	5	a1r0c	a1r0c	PUNCT
ejpam-6149	257	1	+	+	NUM
ejpam-6149	257	2	βcωrcµa1	βcωrcµa1	NOUN
ejpam-6149	257	3	βcωa2	βcωa2	NOUN
ejpam-6149	258	1	+	+	CCONJ
ejpam-6149	258	2	βcωrc	βcωrc	NOUN
ejpam-6149	258	3	+	+	CCONJ
ejpam-6149	258	4	µa2	µa2	NOUN
ejpam-6149	258	5	)	)	PUNCT
ejpam-6149	259	1	+	+	NUM
ejpam-6149	259	2	a2	a2	PROPN
ejpam-6149	259	3	(	(	PUNCT
ejpam-6149	259	4	βcωrca1	βcωrca1	X
ejpam-6149	259	5	βcωa2	βcωa2	PRON
ejpam-6149	260	1	+	+	CCONJ
ejpam-6149	260	2	βcωrc	βcωrc	NOUN
ejpam-6149	261	1	+	+	CCONJ
ejpam-6149	261	2	βcω(r0c	βcω(r0c	NOUN
ejpam-6149	262	1	−	−	NOUN
ejpam-6149	262	2	1	1	NUM
ejpam-6149	262	3	)	)	PUNCT
ejpam-6149	262	4	a1r0c	a1r0c	PUNCT
ejpam-6149	263	1	+	+	PUNCT
ejpam-6149	264	1	βcrcω(r0c	βcrcω(r0c	INTJ
ejpam-6149	264	2	−	−	NOUN
ejpam-6149	264	3	1	1	NUM
ejpam-6149	264	4	)	)	PUNCT
ejpam-6149	264	5	a1r0c	a1r0c	PUNCT
ejpam-6149	265	1	+	+	NUM
ejpam-6149	265	2	µ	µ	X
ejpam-6149	265	3	)	)	PUNCT
ejpam-6149	265	4	note	note	VERB
ejpam-6149	265	5	that	that	SCONJ
ejpam-6149	265	6	a1	a1	NOUN
ejpam-6149	265	7	,	,	PUNCT
ejpam-6149	265	8	a2	a2	PROPN
ejpam-6149	265	9	and	and	CCONJ
ejpam-6149	265	10	a3	a3	NOUN
ejpam-6149	265	11	are	be	AUX
ejpam-6149	265	12	all	all	ADV
ejpam-6149	265	13	positive	positive	ADJ
ejpam-6149	265	14	and	and	CCONJ
ejpam-6149	265	15	a1a2	a1a2	INTJ
ejpam-6149	265	16	>	>	X
ejpam-6149	265	17	a3	a3	NOUN
ejpam-6149	265	18	if	if	SCONJ
ejpam-6149	265	19	r0c	r0c	VERB
ejpam-6149	265	20	>	>	X
ejpam-6149	265	21	1	1	NUM
ejpam-6149	265	22	.	.	PUNCT
ejpam-6149	266	1	hence	hence	ADV
ejpam-6149	266	2	,	,	PUNCT
ejpam-6149	266	3	the	the	DET
ejpam-6149	266	4	covid-19	covid-19	PROPN
ejpam-6149	266	5	submodel	submodel	PROPN
ejpam-6149	266	6	(	(	PUNCT
ejpam-6149	266	7	2	2	NUM
ejpam-6149	266	8	)	)	PUNCT
ejpam-6149	266	9	is	be	AUX
ejpam-6149	266	10	locally	locally	ADV
ejpam-6149	266	11	asymptotically	asymptotically	ADV
ejpam-6149	266	12	stable	stable	ADJ
ejpam-6149	266	13	at	at	ADP
ejpam-6149	266	14	the	the	DET
ejpam-6149	266	15	endemic	endemic	ADJ
ejpam-6149	266	16	equilibrium	equilibrium	NOUN
ejpam-6149	266	17	point	point	NOUN
ejpam-6149	266	18	e1c	e1c	ADV
ejpam-6149	266	19	when	when	SCONJ
ejpam-6149	266	20	r0c	r0c	VERB
ejpam-6149	266	21	>	>	X
ejpam-6149	266	22	1	1	NUM
ejpam-6149	266	23	and	and	CCONJ
ejpam-6149	266	24	unstable	unstable	ADJ
ejpam-6149	266	25	otherwise	otherwise	ADV
ejpam-6149	266	26	.	.	PUNCT
ejpam-6149	267	1	j.	j.	PROPN
ejpam-6149	267	2	puebla	puebla	PROPN
ejpam-6149	267	3	,	,	PUNCT
ejpam-6149	267	4	jm	jm	PROPN
ejpam-6149	267	5	.	.	PROPN
ejpam-6149	267	6	macalalag	macalalag	PROPN
ejpam-6149	267	7	,	,	PUNCT
ejpam-6149	267	8	k.	k.	PROPN
ejpam-6149	267	9	pajaron	pajaron	PROPN
ejpam-6149	267	10	/	/	SYM
ejpam-6149	267	11	eur	eur	PROPN
ejpam-6149	267	12	.	.	PUNCT
ejpam-6149	268	1	j.	j.	PROPN
ejpam-6149	268	2	pure	pure	PROPN
ejpam-6149	268	3	appl	appl	PROPN
ejpam-6149	268	4	.	.	PROPN
ejpam-6149	268	5	math	math	PROPN
ejpam-6149	268	6	,	,	PUNCT
ejpam-6149	268	7	18	18	NUM
ejpam-6149	268	8	(	(	PUNCT
ejpam-6149	268	9	3	3	NUM
ejpam-6149	268	10	)	)	PUNCT
ejpam-6149	268	11	(	(	PUNCT
ejpam-6149	268	12	2025	2025	NUM
ejpam-6149	268	13	)	)	PUNCT
ejpam-6149	268	14	,	,	PUNCT
ejpam-6149	268	15	6149	6149	NUM
ejpam-6149	268	16	11	11	NUM
ejpam-6149	268	17	of	of	ADP
ejpam-6149	268	18	28	28	NUM
ejpam-6149	268	19	3.3	3.3	NUM
ejpam-6149	268	20	.	.	PUNCT
ejpam-6149	269	1	sensitivity	sensitivity	NOUN
ejpam-6149	269	2	analysis	analysis	NOUN
ejpam-6149	269	3	of	of	ADP
ejpam-6149	269	4	covid-19	covid-19	PROPN
ejpam-6149	269	5	sub	sub	NOUN
ejpam-6149	269	6	-	-	NOUN
ejpam-6149	269	7	model	model	NOUN
ejpam-6149	269	8	in	in	ADP
ejpam-6149	269	9	this	this	DET
ejpam-6149	269	10	subsection	subsection	NOUN
ejpam-6149	269	11	,	,	PUNCT
ejpam-6149	269	12	sensitivity	sensitivity	NOUN
ejpam-6149	269	13	analysis	analysis	NOUN
ejpam-6149	269	14	of	of	ADP
ejpam-6149	269	15	the	the	DET
ejpam-6149	269	16	parameters	parameter	NOUN
ejpam-6149	269	17	in	in	ADP
ejpam-6149	269	18	the	the	DET
ejpam-6149	269	19	covid-19	covid-19	PROPN
ejpam-6149	269	20	sub	sub	NOUN
ejpam-6149	269	21	-	-	NOUN
ejpam-6149	269	22	model	model	NOUN
ejpam-6149	269	23	is	be	AUX
ejpam-6149	269	24	performed	perform	VERB
ejpam-6149	269	25	.	.	PUNCT
ejpam-6149	270	1	the	the	DET
ejpam-6149	270	2	sensitivity	sensitivity	NOUN
ejpam-6149	270	3	of	of	ADP
ejpam-6149	270	4	a	a	DET
ejpam-6149	270	5	parameter	parameter	NOUN
ejpam-6149	270	6	p	p	NOUN
ejpam-6149	270	7	is	be	AUX
ejpam-6149	270	8	defined	define	VERB
ejpam-6149	270	9	as	as	ADP
ejpam-6149	270	10	the	the	DET
ejpam-6149	270	11	behavior	behavior	NOUN
ejpam-6149	270	12	of	of	ADP
ejpam-6149	270	13	the	the	DET
ejpam-6149	270	14	model	model	NOUN
ejpam-6149	270	15	to	to	ADP
ejpam-6149	270	16	a	a	DET
ejpam-6149	270	17	small	small	ADJ
ejpam-6149	270	18	change	change	NOUN
ejpam-6149	270	19	in	in	ADP
ejpam-6149	270	20	its	its	PRON
ejpam-6149	270	21	parameter	parameter	NOUN
ejpam-6149	270	22	value	value	NOUN
ejpam-6149	270	23	[	[	X
ejpam-6149	270	24	22	22	NUM
ejpam-6149	270	25	]	]	PUNCT
ejpam-6149	270	26	,	,	PUNCT
ejpam-6149	270	27	and	and	CCONJ
ejpam-6149	270	28	is	be	AUX
ejpam-6149	270	29	given	give	VERB
ejpam-6149	270	30	by	by	ADP
ejpam-6149	270	31	sp	sp	ADP
ejpam-6149	270	32	=	=	PUNCT
ejpam-6149	270	33	∂r0c	∂r0c	PROPN
ejpam-6149	270	34	∂p	∂p	PROPN
ejpam-6149	270	35	×	×	NOUN
ejpam-6149	270	36	p	p	PROPN
ejpam-6149	270	37	r0c	r0c	NOUN
ejpam-6149	270	38	,	,	PUNCT
ejpam-6149	270	39	where	where	SCONJ
ejpam-6149	270	40	r0c	r0c	NOUN
ejpam-6149	270	41	=	=	NOUN
ejpam-6149	270	42	βcω	βcω	NOUN
ejpam-6149	270	43	µ(rc	µ(rc	NOUN
ejpam-6149	270	44	+	+	CCONJ
ejpam-6149	270	45	ϵc	ϵc	X
ejpam-6149	270	46	+	+	NUM
ejpam-6149	270	47	µ	µ	X
ejpam-6149	270	48	)	)	PUNCT
ejpam-6149	270	49	+	+	CCONJ
ejpam-6149	270	50	βcωrc	βcωrc	NOUN
ejpam-6149	270	51	µ(rc	µ(rc	NOUN
ejpam-6149	270	52	+	+	CCONJ
ejpam-6149	270	53	ϵc	ϵc	ADP
ejpam-6149	270	54	+	+	ADJ
ejpam-6149	270	55	µ)(ρc	µ)(ρc	NOUN
ejpam-6149	270	56	+	+	CCONJ
ejpam-6149	270	57	µ+	µ+	PROPN
ejpam-6149	270	58	σc	σc	PROPN
ejpam-6149	270	59	)	)	PUNCT
ejpam-6149	270	60	(	(	PUNCT
ejpam-6149	270	61	6	6	X
ejpam-6149	270	62	)	)	PUNCT
ejpam-6149	270	63	the	the	DET
ejpam-6149	270	64	sensitivity	sensitivity	NOUN
ejpam-6149	270	65	indices	indice	VERB
ejpam-6149	270	66	for	for	ADP
ejpam-6149	270	67	each	each	DET
ejpam-6149	270	68	parameter	parameter	NOUN
ejpam-6149	270	69	in	in	ADP
ejpam-6149	270	70	the	the	DET
ejpam-6149	270	71	covid-19	covid-19	PROPN
ejpam-6149	270	72	sub	sub	NOUN
ejpam-6149	270	73	-	-	NOUN
ejpam-6149	270	74	model	model	ADJ
ejpam-6149	270	75	(	(	PUNCT
ejpam-6149	270	76	2	2	NUM
ejpam-6149	270	77	)	)	PUNCT
ejpam-6149	270	78	with	with	ADP
ejpam-6149	270	79	respect	respect	NOUN
ejpam-6149	270	80	to	to	ADP
ejpam-6149	270	81	r0c	r0c	NOUN
ejpam-6149	270	82	is	be	AUX
ejpam-6149	270	83	computed	compute	VERB
ejpam-6149	270	84	using	use	VERB
ejpam-6149	270	85	the	the	DET
ejpam-6149	270	86	equation	equation	NOUN
ejpam-6149	270	87	(	(	PUNCT
ejpam-6149	270	88	6	6	NUM
ejpam-6149	270	89	)	)	PUNCT
ejpam-6149	270	90	,	,	PUNCT
ejpam-6149	270	91	and	and	CCONJ
ejpam-6149	270	92	the	the	DET
ejpam-6149	270	93	corresponding	corresponding	ADJ
ejpam-6149	270	94	sensitivity	sensitivity	NOUN
ejpam-6149	270	95	indices	index	NOUN
ejpam-6149	270	96	are	be	AUX
ejpam-6149	270	97	shown	show	VERB
ejpam-6149	270	98	in	in	ADP
ejpam-6149	270	99	figure	figure	NOUN
ejpam-6149	270	100	2	2	NUM
ejpam-6149	270	101	.	.	PUNCT
ejpam-6149	270	102	figure	figure	NOUN
ejpam-6149	270	103	2	2	NUM
ejpam-6149	270	104	:	:	PUNCT
ejpam-6149	271	1	sensitivity	sensitivity	NOUN
ejpam-6149	271	2	indices	index	NOUN
ejpam-6149	271	3	of	of	ADP
ejpam-6149	271	4	the	the	DET
ejpam-6149	271	5	covid-19	covid-19	PROPN
ejpam-6149	271	6	sub	sub	ADJ
ejpam-6149	271	7	-	-	ADJ
ejpam-6149	271	8	model	model	ADJ
ejpam-6149	271	9	parameters	parameter	NOUN
ejpam-6149	271	10	the	the	DET
ejpam-6149	271	11	sensitivity	sensitivity	NOUN
ejpam-6149	271	12	analysis	analysis	NOUN
ejpam-6149	271	13	of	of	ADP
ejpam-6149	271	14	the	the	DET
ejpam-6149	271	15	covid-19	covid-19	PROPN
ejpam-6149	271	16	sub	sub	ADJ
ejpam-6149	271	17	-	-	ADJ
ejpam-6149	271	18	model	model	ADJ
ejpam-6149	271	19	numerical	numerical	ADJ
ejpam-6149	271	20	results	result	NOUN
ejpam-6149	271	21	highlighted	highlight	VERB
ejpam-6149	271	22	that	that	SCONJ
ejpam-6149	271	23	the	the	DET
ejpam-6149	271	24	covid-19	covid-19	PROPN
ejpam-6149	271	25	transmission	transmission	NOUN
ejpam-6149	271	26	rate	rate	NOUN
ejpam-6149	271	27	βc	βc	X
ejpam-6149	271	28	,	,	PUNCT
ejpam-6149	271	29	and	and	CCONJ
ejpam-6149	271	30	the	the	DET
ejpam-6149	271	31	recruitment	recruitment	NOUN
ejpam-6149	271	32	rate	rate	NOUN
ejpam-6149	271	33	ω	ω	PROPN
ejpam-6149	271	34	have	have	VERB
ejpam-6149	271	35	a	a	DET
ejpam-6149	271	36	high	high	ADJ
ejpam-6149	271	37	positive	positive	ADJ
ejpam-6149	271	38	impact	impact	NOUN
ejpam-6149	271	39	on	on	ADP
ejpam-6149	271	40	the	the	DET
ejpam-6149	271	41	spread	spread	NOUN
ejpam-6149	271	42	of	of	ADP
ejpam-6149	271	43	the	the	DET
ejpam-6149	271	44	virus	virus	NOUN
ejpam-6149	271	45	.	.	PUNCT
ejpam-6149	272	1	the	the	DET
ejpam-6149	272	2	analysis	analysis	NOUN
ejpam-6149	272	3	suggests	suggest	VERB
ejpam-6149	272	4	that	that	SCONJ
ejpam-6149	272	5	the	the	DET
ejpam-6149	272	6	magnitude	magnitude	NOUN
ejpam-6149	272	7	of	of	ADP
ejpam-6149	272	8	the	the	DET
ejpam-6149	272	9	impacts	impact	NOUN
ejpam-6149	272	10	of	of	ADP
ejpam-6149	272	11	βc	βc	PRON
ejpam-6149	272	12	and	and	CCONJ
ejpam-6149	272	13	ω	ω	PROPN
ejpam-6149	272	14	on	on	ADP
ejpam-6149	272	15	the	the	DET
ejpam-6149	272	16	spread	spread	NOUN
ejpam-6149	272	17	of	of	ADP
ejpam-6149	272	18	covid-19	covid-19	PROPN
ejpam-6149	272	19	are	be	AUX
ejpam-6149	272	20	the	the	DET
ejpam-6149	272	21	same	same	ADJ
ejpam-6149	272	22	because	because	SCONJ
ejpam-6149	272	23	the	the	DET
ejpam-6149	272	24	number	number	NOUN
ejpam-6149	272	25	of	of	ADP
ejpam-6149	272	26	secondary	secondary	ADJ
ejpam-6149	272	27	infections	infection	NOUN
ejpam-6149	272	28	increase	increase	VERB
ejpam-6149	272	29	with	with	ADP
ejpam-6149	272	30	respect	respect	NOUN
ejpam-6149	272	31	to	to	ADP
ejpam-6149	272	32	increasing	increase	VERB
ejpam-6149	272	33	these	these	DET
ejpam-6149	272	34	parameters	parameter	NOUN
ejpam-6149	272	35	[	[	X
ejpam-6149	272	36	22	22	NUM
ejpam-6149	272	37	]	]	PUNCT
ejpam-6149	272	38	.	.	PUNCT
ejpam-6149	273	1	in	in	ADP
ejpam-6149	273	2	contrast	contrast	NOUN
ejpam-6149	273	3	,	,	PUNCT
ejpam-6149	273	4	the	the	DET
ejpam-6149	273	5	parameters	parameter	NOUN
ejpam-6149	273	6	µ1	µ1	PROPN
ejpam-6149	273	7	,	,	PUNCT
ejpam-6149	273	8	µ	µ	NOUN
ejpam-6149	273	9	,	,	PUNCT
ejpam-6149	273	10	δc	δc	PROPN
ejpam-6149	273	11	,	,	PUNCT
ejpam-6149	273	12	rc	rc	PROPN
ejpam-6149	273	13	,	,	PUNCT
ejpam-6149	273	14	and	and	CCONJ
ejpam-6149	273	15	δe	δe	ADP
ejpam-6149	273	16	have	have	VERB
ejpam-6149	273	17	negative	negative	ADJ
ejpam-6149	273	18	impact	impact	NOUN
ejpam-6149	273	19	,	,	PUNCT
ejpam-6149	273	20	which	which	PRON
ejpam-6149	273	21	means	mean	VERB
ejpam-6149	273	22	that	that	SCONJ
ejpam-6149	273	23	increasing	increase	VERB
ejpam-6149	273	24	the	the	DET
ejpam-6149	273	25	value	value	NOUN
ejpam-6149	273	26	of	of	ADP
ejpam-6149	273	27	such	such	ADJ
ejpam-6149	273	28	parameters	parameter	NOUN
ejpam-6149	273	29	will	will	AUX
ejpam-6149	273	30	decrease	decrease	VERB
ejpam-6149	273	31	the	the	DET
ejpam-6149	273	32	number	number	NOUN
ejpam-6149	273	33	of	of	ADP
ejpam-6149	273	34	people	people	NOUN
ejpam-6149	273	35	infected	infect	VERB
ejpam-6149	273	36	with	with	ADP
ejpam-6149	273	37	covid-19	covid-19	PROPN
ejpam-6149	273	38	.	.	PROPN
ejpam-6149	273	39	3.4	3.4	NUM
ejpam-6149	273	40	.	.	PUNCT
ejpam-6149	274	1	tuberculosis	tuberculosis	PRON
ejpam-6149	274	2	sub	sub	NOUN
ejpam-6149	274	3	-	-	NOUN
ejpam-6149	274	4	model	model	NOUN
ejpam-6149	274	5	without	without	ADP
ejpam-6149	274	6	considering	consider	VERB
ejpam-6149	274	7	the	the	DET
ejpam-6149	274	8	infected	infected	ADJ
ejpam-6149	274	9	individuals	individual	NOUN
ejpam-6149	274	10	with	with	ADP
ejpam-6149	274	11	covid-19	covid-19	PROPN
ejpam-6149	274	12	from	from	ADP
ejpam-6149	274	13	the	the	DET
ejpam-6149	274	14	covid-19	covid-19	PROPN
ejpam-6149	274	15	and	and	CCONJ
ejpam-6149	274	16	tuberculosis	tuberculosis	PRON
ejpam-6149	274	17	co	co	NOUN
ejpam-6149	274	18	-	-	NOUN
ejpam-6149	274	19	infection	infection	ADJ
ejpam-6149	274	20	model	model	NOUN
ejpam-6149	274	21	(	(	PUNCT
ejpam-6149	274	22	1	1	NUM
ejpam-6149	274	23	)	)	PUNCT
ejpam-6149	274	24	,	,	PUNCT
ejpam-6149	274	25	the	the	DET
ejpam-6149	274	26	tuberculosis	tuberculosis	NOUN
ejpam-6149	274	27	sub	sub	NOUN
ejpam-6149	274	28	-	-	NOUN
ejpam-6149	274	29	model	model	NOUN
ejpam-6149	274	30	is	be	AUX
ejpam-6149	274	31	given	give	VERB
ejpam-6149	274	32	by	by	ADP
ejpam-6149	274	33	j.	j.	PROPN
ejpam-6149	274	34	puebla	puebla	PROPN
ejpam-6149	274	35	,	,	PUNCT
ejpam-6149	274	36	jm	jm	PROPN
ejpam-6149	274	37	.	.	PROPN
ejpam-6149	274	38	macalalag	macalalag	PROPN
ejpam-6149	274	39	,	,	PUNCT
ejpam-6149	274	40	k.	k.	PROPN
ejpam-6149	274	41	pajaron	pajaron	PROPN
ejpam-6149	274	42	/	/	SYM
ejpam-6149	274	43	eur	eur	PROPN
ejpam-6149	274	44	.	.	PUNCT
ejpam-6149	275	1	j.	j.	PROPN
ejpam-6149	275	2	pure	pure	PROPN
ejpam-6149	275	3	appl	appl	PROPN
ejpam-6149	275	4	.	.	PROPN
ejpam-6149	275	5	math	math	PROPN
ejpam-6149	275	6	,	,	PUNCT
ejpam-6149	275	7	18	18	NUM
ejpam-6149	275	8	(	(	PUNCT
ejpam-6149	275	9	3	3	NUM
ejpam-6149	275	10	)	)	PUNCT
ejpam-6149	275	11	(	(	PUNCT
ejpam-6149	275	12	2025	2025	NUM
ejpam-6149	275	13	)	)	PUNCT
ejpam-6149	275	14	,	,	PUNCT
ejpam-6149	275	15	6149	6149	NUM
ejpam-6149	275	16	12	12	NUM
ejpam-6149	275	17	of	of	ADP
ejpam-6149	275	18	28	28	NUM
ejpam-6149	275	19			NUM
ejpam-6149	275	20	ds	ds	ADJ
ejpam-6149	275	21	dt	dt	NOUN
ejpam-6149	275	22	=	=	SYM
ejpam-6149	275	23	ω	ω	PROPN
ejpam-6149	275	24	−	−	PROPN
ejpam-6149	275	25	βtits	βtit	VERB
ejpam-6149	275	26	−	−	PROPN
ejpam-6149	275	27	µs	µs	X
ejpam-6149	275	28	det	det	PROPN
ejpam-6149	275	29	dt	dt	PROPN
ejpam-6149	275	30	=	=	PROPN
ejpam-6149	275	31	βtits	βtit	VERB
ejpam-6149	275	32	−	−	PROPN
ejpam-6149	275	33	(	(	PUNCT
ejpam-6149	275	34	rt	rt	PROPN
ejpam-6149	275	35	+	+	PUNCT
ejpam-6149	275	36	µ)et	µ)et	PROPN
ejpam-6149	275	37	dit	dit	NOUN
ejpam-6149	275	38	dt	dt	NOUN
ejpam-6149	275	39	=	=	PUNCT
ejpam-6149	275	40	rtet	rtet	NOUN
ejpam-6149	275	41	−	−	PROPN
ejpam-6149	275	42	(	(	PUNCT
ejpam-6149	275	43	δt	δt	X
ejpam-6149	275	44	+	+	CCONJ
ejpam-6149	275	45	µ+	µ+	X
ejpam-6149	275	46	µ2)it	µ2)it	PROPN
ejpam-6149	275	47	dqt	dqt	NOUN
ejpam-6149	275	48	dt	dt	NOUN
ejpam-6149	276	1	=	=	PUNCT
ejpam-6149	276	2	δtit	δtit	NOUN
ejpam-6149	276	3	−	−	PROPN
ejpam-6149	277	1	(	(	PUNCT
ejpam-6149	277	2	γt	γt	NOUN
ejpam-6149	277	3	+	+	CCONJ
ejpam-6149	277	4	µ+	µ+	PROPN
ejpam-6149	277	5	µ5)qt	µ5)qt	PROPN
ejpam-6149	277	6	dr	dr	PROPN
ejpam-6149	277	7	dt	dt	PROPN
ejpam-6149	278	1	=	=	PUNCT
ejpam-6149	278	2	γtqt	γtqt	ADJ
ejpam-6149	278	3	−	−	PROPN
ejpam-6149	279	1	µr	µr	ADP
ejpam-6149	279	2	(	(	PUNCT
ejpam-6149	279	3	7	7	X
ejpam-6149	279	4	)	)	PUNCT
ejpam-6149	279	5	where	where	SCONJ
ejpam-6149	279	6	nt	not	PART
ejpam-6149	279	7	=	=	SYM
ejpam-6149	279	8	s	s	PART
ejpam-6149	279	9	+	+	NOUN
ejpam-6149	279	10	et	et	X
ejpam-6149	279	11	+	+	CCONJ
ejpam-6149	279	12	it	it	PRON
ejpam-6149	279	13	+	+	CCONJ
ejpam-6149	279	14	qt	qt	X
ejpam-6149	279	15	+	+	CCONJ
ejpam-6149	279	16	r.	r.	NOUN
ejpam-6149	279	17	by	by	ADP
ejpam-6149	279	18	adding	add	VERB
ejpam-6149	279	19	all	all	DET
ejpam-6149	279	20	the	the	DET
ejpam-6149	279	21	equations	equation	NOUN
ejpam-6149	279	22	in	in	ADP
ejpam-6149	279	23	system	system	NOUN
ejpam-6149	279	24	(	(	PUNCT
ejpam-6149	279	25	7	7	NUM
ejpam-6149	279	26	)	)	PUNCT
ejpam-6149	279	27	,	,	PUNCT
ejpam-6149	279	28	we	we	PRON
ejpam-6149	279	29	obtained	obtain	VERB
ejpam-6149	279	30	ω	ω	NUM
ejpam-6149	279	31	−	−	NOUN
ejpam-6149	279	32	µnt	µnt	ADJ
ejpam-6149	279	33	−	−	NOUN
ejpam-6149	279	34	µ2it	µ2it	ADP
ejpam-6149	279	35	−	−	NOUN
ejpam-6149	279	36	µ5qt	µ5qt	VERB
ejpam-6149	279	37	≤	≤	NOUN
ejpam-6149	279	38	ω	ω	NUM
ejpam-6149	279	39	−	−	NOUN
ejpam-6149	280	1	µnt	µnt	ADV
ejpam-6149	280	2	.	.	PUNCT
ejpam-6149	281	1	the	the	DET
ejpam-6149	281	2	given	give	VERB
ejpam-6149	281	3	initial	initial	ADJ
ejpam-6149	281	4	conditions	condition	NOUN
ejpam-6149	281	5	of	of	ADP
ejpam-6149	281	6	the	the	DET
ejpam-6149	281	7	tuberculosis	tuberculosis	NOUN
ejpam-6149	281	8	sub	sub	ADJ
ejpam-6149	281	9	-	-	ADJ
ejpam-6149	281	10	model	model	ADJ
ejpam-6149	281	11	system	system	NOUN
ejpam-6149	281	12	(	(	PUNCT
ejpam-6149	281	13	7	7	X
ejpam-6149	281	14	)	)	PUNCT
ejpam-6149	281	15	ensure	ensure	VERB
ejpam-6149	281	16	that	that	SCONJ
ejpam-6149	281	17	n(0	n(0	PROPN
ejpam-6149	281	18	)	)	PUNCT
ejpam-6149	281	19	≥	≥	NOUN
ejpam-6149	281	20	0	0	NUM
ejpam-6149	281	21	.	.	PUNCT
ejpam-6149	282	1	hence	hence	ADV
ejpam-6149	282	2	,	,	PUNCT
ejpam-6149	282	3	the	the	DET
ejpam-6149	282	4	total	total	ADJ
ejpam-6149	282	5	human	human	ADJ
ejpam-6149	282	6	population	population	NOUN
ejpam-6149	282	7	is	be	AUX
ejpam-6149	282	8	positive	positive	ADJ
ejpam-6149	282	9	and	and	CCONJ
ejpam-6149	282	10	bounded	bound	VERB
ejpam-6149	282	11	for	for	ADP
ejpam-6149	282	12	all	all	DET
ejpam-6149	282	13	finite	finite	ADJ
ejpam-6149	282	14	time	time	NOUN
ejpam-6149	282	15	t	t	PROPN
ejpam-6149	282	16	>	>	X
ejpam-6149	282	17	0	0	X
ejpam-6149	282	18	.	.	PUNCT
ejpam-6149	283	1	from	from	ADP
ejpam-6149	283	2	the	the	DET
ejpam-6149	283	3	theory	theory	NOUN
ejpam-6149	283	4	of	of	ADP
ejpam-6149	283	5	differential	differential	ADJ
ejpam-6149	283	6	inequality	inequality	NOUN
ejpam-6149	283	7	[	[	X
ejpam-6149	283	8	4	4	NUM
ejpam-6149	283	9	]	]	PUNCT
ejpam-6149	283	10	,	,	PUNCT
ejpam-6149	283	11	nt	not	PART
ejpam-6149	283	12	(	(	PUNCT
ejpam-6149	283	13	t	t	NOUN
ejpam-6149	283	14	)	)	PUNCT
ejpam-6149	283	15	≤	≤	PUNCT
ejpam-6149	284	1	nt	not	PART
ejpam-6149	284	2	(	(	PUNCT
ejpam-6149	284	3	0)e	0)e	NOUN
ejpam-6149	284	4	−µt	−µt	X
ejpam-6149	284	5	+	+	X
ejpam-6149	284	6	ω	ω	NUM
ejpam-6149	284	7	µ	µ	X
ejpam-6149	284	8	(	(	PUNCT
ejpam-6149	284	9	1	1	NUM
ejpam-6149	284	10	−	−	PROPN
ejpam-6149	284	11	e−µt	e−µt	PROPN
ejpam-6149	284	12	)	)	PUNCT
ejpam-6149	284	13	.	.	PUNCT
ejpam-6149	285	1	as	as	ADP
ejpam-6149	285	2	t	t	PROPN
ejpam-6149	285	3	→	→	SYM
ejpam-6149	285	4	+	+	PROPN
ejpam-6149	285	5	∞	∞	PROPN
ejpam-6149	285	6	,	,	PUNCT
ejpam-6149	285	7	we	we	PRON
ejpam-6149	285	8	get	get	VERB
ejpam-6149	285	9	0	0	NUM
ejpam-6149	285	10	≤	≤	NUM
ejpam-6149	285	11	nt	not	PART
ejpam-6149	285	12	(	(	PUNCT
ejpam-6149	285	13	t	t	NOUN
ejpam-6149	285	14	)	)	PUNCT
ejpam-6149	285	15	≤	≤	NOUN
ejpam-6149	285	16	ω	ω	NUM
ejpam-6149	285	17	µ	µ	NOUN
ejpam-6149	285	18	.	.	PUNCT
ejpam-6149	286	1	the	the	DET
ejpam-6149	286	2	feasible	feasible	ADJ
ejpam-6149	286	3	region	region	NOUN
ejpam-6149	286	4	of	of	ADP
ejpam-6149	286	5	the	the	DET
ejpam-6149	286	6	tb	tb	X
ejpam-6149	286	7	sub	sub	NOUN
ejpam-6149	286	8	-	-	NOUN
ejpam-6149	286	9	model	model	ADJ
ejpam-6149	286	10	(	(	PUNCT
ejpam-6149	286	11	7	7	NUM
ejpam-6149	286	12	)	)	PUNCT
ejpam-6149	286	13	is	be	AUX
ejpam-6149	286	14	given	give	VERB
ejpam-6149	286	15	by	by	ADP
ejpam-6149	286	16	ωt	ωt	PROPN
ejpam-6149	286	17	=	=	PUNCT
ejpam-6149	286	18	{	{	PUNCT
ejpam-6149	286	19	(	(	PUNCT
ejpam-6149	286	20	s	s	X
ejpam-6149	286	21	,	,	PUNCT
ejpam-6149	286	22	et	et	NOUN
ejpam-6149	286	23	,	,	PUNCT
ejpam-6149	286	24	it	it	PRON
ejpam-6149	286	25	,	,	PUNCT
ejpam-6149	286	26	qt	qt	INTJ
ejpam-6149	286	27	,	,	PUNCT
ejpam-6149	286	28	r	r	NOUN
ejpam-6149	286	29	)	)	PUNCT
ejpam-6149	286	30	∈	∈	PROPN
ejpam-6149	286	31	r5	r5	PROPN
ejpam-6149	286	32	+	+	CCONJ
ejpam-6149	286	33	:	:	PUNCT
ejpam-6149	286	34	nt	not	PART
ejpam-6149	286	35	(	(	PUNCT
ejpam-6149	286	36	t	t	NOUN
ejpam-6149	286	37	)	)	PUNCT
ejpam-6149	286	38	≤	≤	NOUN
ejpam-6149	286	39	ω	ω	NUM
ejpam-6149	286	40	µ	µ	NOUN
ejpam-6149	286	41	}	}	PUNCT
ejpam-6149	286	42	.	.	PUNCT
ejpam-6149	287	1	the	the	DET
ejpam-6149	287	2	set	set	NOUN
ejpam-6149	287	3	ωc	ωc	INTJ
ejpam-6149	287	4	is	be	AUX
ejpam-6149	287	5	positive	positive	ADJ
ejpam-6149	287	6	invariant	invariant	ADJ
ejpam-6149	287	7	and	and	CCONJ
ejpam-6149	287	8	attracting	attract	VERB
ejpam-6149	287	9	[	[	X
ejpam-6149	287	10	16	16	NUM
ejpam-6149	287	11	]	]	PUNCT
ejpam-6149	287	12	,	,	PUNCT
ejpam-6149	287	13	and	and	CCONJ
ejpam-6149	287	14	all	all	DET
ejpam-6149	287	15	solutions	solution	NOUN
ejpam-6149	287	16	of	of	ADP
ejpam-6149	287	17	the	the	DET
ejpam-6149	287	18	tuberculosis	tuberculosis	NOUN
ejpam-6149	287	19	sub	sub	NOUN
ejpam-6149	287	20	-	-	NOUN
ejpam-6149	287	21	model	model	ADJ
ejpam-6149	287	22	(	(	PUNCT
ejpam-6149	287	23	7	7	X
ejpam-6149	287	24	)	)	PUNCT
ejpam-6149	287	25	starting	start	VERB
ejpam-6149	287	26	in	in	ADP
ejpam-6149	287	27	ωt	ωt	PART
ejpam-6149	287	28	remain	remain	VERB
ejpam-6149	287	29	in	in	ADP
ejpam-6149	287	30	ωt	ωt	ADP
ejpam-6149	287	31	for	for	ADP
ejpam-6149	287	32	all	all	DET
ejpam-6149	287	33	t	t	PROPN
ejpam-6149	287	34	≥	≥	NOUN
ejpam-6149	287	35	0	0	NUM
ejpam-6149	287	36	.	.	PUNCT
ejpam-6149	288	1	hence	hence	ADV
ejpam-6149	288	2	,	,	PUNCT
ejpam-6149	288	3	the	the	DET
ejpam-6149	288	4	model	model	NOUN
ejpam-6149	288	5	(	(	PUNCT
ejpam-6149	288	6	7	7	X
ejpam-6149	288	7	)	)	PUNCT
ejpam-6149	288	8	is	be	AUX
ejpam-6149	288	9	mathematically	mathematically	ADV
ejpam-6149	288	10	and	and	CCONJ
ejpam-6149	288	11	epidemiologically	epidemiologically	ADV
ejpam-6149	288	12	well	well	ADV
ejpam-6149	288	13	-	-	PUNCT
ejpam-6149	288	14	posed	pose	VERB
ejpam-6149	288	15	,	,	PUNCT
ejpam-6149	288	16	and	and	CCONJ
ejpam-6149	288	17	it	it	PRON
ejpam-6149	288	18	is	be	AUX
ejpam-6149	288	19	sufficient	sufficient	ADJ
ejpam-6149	288	20	to	to	PART
ejpam-6149	288	21	study	study	VERB
ejpam-6149	288	22	its	its	PRON
ejpam-6149	288	23	dynamics	dynamic	NOUN
ejpam-6149	288	24	in	in	ADP
ejpam-6149	288	25	ωt	ωt	PROPN
ejpam-6149	288	26	.	.	PUNCT
ejpam-6149	289	1	without	without	ADP
ejpam-6149	289	2	loss	loss	NOUN
ejpam-6149	289	3	of	of	ADP
ejpam-6149	289	4	generality	generality	NOUN
ejpam-6149	289	5	,	,	PUNCT
ejpam-6149	289	6	the	the	DET
ejpam-6149	289	7	last	last	ADJ
ejpam-6149	289	8	equation	equation	NOUN
ejpam-6149	289	9	can	can	AUX
ejpam-6149	289	10	be	be	AUX
ejpam-6149	289	11	omitted	omit	VERB
ejpam-6149	289	12	since	since	SCONJ
ejpam-6149	289	13	it	it	PRON
ejpam-6149	289	14	is	be	AUX
ejpam-6149	289	15	independent	independent	ADJ
ejpam-6149	289	16	of	of	ADP
ejpam-6149	289	17	the	the	DET
ejpam-6149	289	18	system	system	NOUN
ejpam-6149	289	19	(	(	PUNCT
ejpam-6149	289	20	7	7	NUM
ejpam-6149	289	21	)	)	PUNCT
ejpam-6149	289	22	.	.	PUNCT
ejpam-6149	290	1	setting	set	VERB
ejpam-6149	290	2	all	all	DET
ejpam-6149	290	3	the	the	DET
ejpam-6149	290	4	differential	differential	ADJ
ejpam-6149	290	5	equations	equation	NOUN
ejpam-6149	290	6	in	in	ADP
ejpam-6149	290	7	system	system	NOUN
ejpam-6149	290	8	(	(	PUNCT
ejpam-6149	290	9	7	7	NUM
ejpam-6149	290	10	)	)	PUNCT
ejpam-6149	290	11	to	to	ADP
ejpam-6149	290	12	zero	zero	NUM
ejpam-6149	290	13	and	and	CCONJ
ejpam-6149	290	14	solve	solve	VERB
ejpam-6149	290	15	for	for	ADP
ejpam-6149	290	16	all	all	DET
ejpam-6149	290	17	compartments	compartment	NOUN
ejpam-6149	290	18	,	,	PUNCT
ejpam-6149	290	19	we	we	PRON
ejpam-6149	290	20	obtain	obtain	VERB
ejpam-6149	290	21	two	two	NUM
ejpam-6149	290	22	equilibrium	equilibrium	NOUN
ejpam-6149	290	23	points	point	NOUN
ejpam-6149	290	24	,	,	PUNCT
ejpam-6149	290	25	the	the	DET
ejpam-6149	290	26	disease	disease	NOUN
ejpam-6149	290	27	-	-	PUNCT
ejpam-6149	290	28	free	free	ADJ
ejpam-6149	290	29	equilibrium	equilibrium	NOUN
ejpam-6149	290	30	(	(	PUNCT
ejpam-6149	290	31	dfe	dfe	PROPN
ejpam-6149	290	32	)	)	PUNCT
ejpam-6149	290	33	and	and	CCONJ
ejpam-6149	290	34	the	the	DET
ejpam-6149	290	35	endemic	endemic	ADJ
ejpam-6149	290	36	equilibrium	equilibrium	NOUN
ejpam-6149	290	37	(	(	PUNCT
ejpam-6149	290	38	ee	ee	PROPN
ejpam-6149	290	39	)	)	PUNCT
ejpam-6149	290	40	.	.	PUNCT
ejpam-6149	291	1	the	the	DET
ejpam-6149	291	2	disease	disease	NOUN
ejpam-6149	291	3	-	-	PUNCT
ejpam-6149	291	4	free	free	ADJ
ejpam-6149	291	5	equilibrium	equilibrium	NOUN
ejpam-6149	291	6	point	point	NOUN
ejpam-6149	291	7	is	be	AUX
ejpam-6149	291	8	obtained	obtain	VERB
ejpam-6149	291	9	when	when	SCONJ
ejpam-6149	291	10	et	et	NOUN
ejpam-6149	291	11	=	=	SYM
ejpam-6149	291	12	0	0	PUNCT
ejpam-6149	291	13	and	and	CCONJ
ejpam-6149	291	14	it	it	PRON
ejpam-6149	291	15	=	=	SYM
ejpam-6149	291	16	0	0	PUNCT
ejpam-6149	291	17	and	and	CCONJ
ejpam-6149	291	18	given	give	VERB
ejpam-6149	291	19	by	by	ADP
ejpam-6149	291	20	e0	e0	PROPN
ejpam-6149	291	21	t	t	PROPN
ejpam-6149	291	22	=	=	SYM
ejpam-6149	291	23	(	(	PUNCT
ejpam-6149	291	24	s	s	PROPN
ejpam-6149	291	25	,	,	PUNCT
ejpam-6149	291	26	et	et	PROPN
ejpam-6149	291	27	,	,	PUNCT
ejpam-6149	291	28	it	it	PRON
ejpam-6149	291	29	,	,	PUNCT
ejpam-6149	291	30	qt	qt	NOUN
ejpam-6149	291	31	)	)	PUNCT
ejpam-6149	291	32	=	=	PUNCT
ejpam-6149	291	33	(	(	PUNCT
ejpam-6149	291	34	ω	ω	PROPN
ejpam-6149	291	35	µ	µ	X
ejpam-6149	291	36	,	,	PUNCT
ejpam-6149	291	37	0	0	NUM
ejpam-6149	291	38	,	,	PUNCT
ejpam-6149	291	39	0	0	NUM
ejpam-6149	291	40	,	,	PUNCT
ejpam-6149	291	41	0	0	NUM
ejpam-6149	291	42	)	)	PUNCT
ejpam-6149	291	43	.	.	PUNCT
ejpam-6149	292	1	when	when	SCONJ
ejpam-6149	292	2	et	et	X
ejpam-6149	292	3	̸=	̸=	PROPN
ejpam-6149	292	4	0	0	NUM
ejpam-6149	292	5	and	and	CCONJ
ejpam-6149	292	6	it	it	PRON
ejpam-6149	292	7	̸=	̸=	PROPN
ejpam-6149	292	8	0	0	NUM
ejpam-6149	292	9	,	,	PUNCT
ejpam-6149	292	10	the	the	DET
ejpam-6149	292	11	endemic	endemic	ADJ
ejpam-6149	292	12	equilibrium	equilibrium	NOUN
ejpam-6149	292	13	point	point	NOUN
ejpam-6149	292	14	exists	exist	VERB
ejpam-6149	292	15	and	and	CCONJ
ejpam-6149	292	16	is	be	AUX
ejpam-6149	292	17	given	give	VERB
ejpam-6149	292	18	by	by	ADP
ejpam-6149	292	19	e1	e1	PROPN
ejpam-6149	292	20	t	t	NOUN
ejpam-6149	292	21	=	=	SYM
ejpam-6149	292	22	(	(	PUNCT
ejpam-6149	292	23	s	s	PROPN
ejpam-6149	292	24	,	,	PUNCT
ejpam-6149	292	25	et	et	PROPN
ejpam-6149	292	26	,	,	PUNCT
ejpam-6149	292	27	it	it	PRON
ejpam-6149	292	28	,	,	PUNCT
ejpam-6149	292	29	qt	qt	NOUN
ejpam-6149	292	30	)	)	PUNCT
ejpam-6149	292	31	where	where	SCONJ
ejpam-6149	292	32	s	s	VERB
ejpam-6149	292	33	=	=	X
ejpam-6149	292	34	(	(	PUNCT
ejpam-6149	292	35	µ+	µ+	PROPN
ejpam-6149	292	36	rt)(δt	rt)(δt	PROPN
ejpam-6149	292	37	+	+	CCONJ
ejpam-6149	292	38	µ+	µ+	PROPN
ejpam-6149	292	39	µ2	µ2	PROPN
ejpam-6149	292	40	)	)	PUNCT
ejpam-6149	292	41	βtrt	βtrt	NOUN
ejpam-6149	292	42	,	,	PUNCT
ejpam-6149	292	43	et	et	NOUN
ejpam-6149	292	44	=	=	PUNCT
ejpam-6149	292	45	ωβtrt	ωβtrt	NOUN
ejpam-6149	293	1	−	−	PROPN
ejpam-6149	293	2	µ(µ+	µ(µ+	NOUN
ejpam-6149	293	3	rt)(δt	rt)(δt	PUNCT
ejpam-6149	293	4	+	+	CCONJ
ejpam-6149	293	5	µ+	µ+	PROPN
ejpam-6149	293	6	µ2	µ2	PROPN
ejpam-6149	293	7	)	)	PUNCT
ejpam-6149	293	8	(	(	PUNCT
ejpam-6149	293	9	βtrt)(rt	βtrt)(rt	PUNCT
ejpam-6149	293	10	+	+	NUM
ejpam-6149	293	11	µ	µ	X
ejpam-6149	293	12	)	)	PUNCT
ejpam-6149	293	13	,	,	PUNCT
ejpam-6149	293	14	it	it	PRON
ejpam-6149	293	15	=	=	PUNCT
ejpam-6149	293	16	ωβtrt	ωβtrt	NOUN
ejpam-6149	293	17	−	−	PROPN
ejpam-6149	293	18	µ(µ+	µ(µ+	NOUN
ejpam-6149	293	19	rt)(δt	rt)(δt	PUNCT
ejpam-6149	293	20	+	+	CCONJ
ejpam-6149	293	21	µ+	µ+	PUNCT
ejpam-6149	293	22	µ2	µ2	NOUN
ejpam-6149	293	23	)	)	PUNCT
ejpam-6149	293	24	βt(rt	βt(rt	PUNCT
ejpam-6149	294	1	+	+	CCONJ
ejpam-6149	294	2	µ)(δt	µ)(δt	X
ejpam-6149	294	3	+	+	CCONJ
ejpam-6149	294	4	µ+	µ+	PROPN
ejpam-6149	294	5	µ2	µ2	PROPN
ejpam-6149	294	6	)	)	PUNCT
ejpam-6149	294	7	,	,	PUNCT
ejpam-6149	294	8	qt	qt	NOUN
ejpam-6149	294	9	=	=	PUNCT
ejpam-6149	295	1	δt(ωβtrt	δt(ωβtrt	PROPN
ejpam-6149	295	2	−	−	NOUN
ejpam-6149	295	3	µ(µ+	µ(µ+	NOUN
ejpam-6149	295	4	rt)(δt	rt)(δt	PUNCT
ejpam-6149	295	5	+	+	CCONJ
ejpam-6149	295	6	µ+	µ+	PROPN
ejpam-6149	295	7	µ2	µ2	PROPN
ejpam-6149	295	8	)	)	PUNCT
ejpam-6149	295	9	)	)	PUNCT
ejpam-6149	295	10	βt(rt	βt(rt	PUNCT
ejpam-6149	296	1	+	+	CCONJ
ejpam-6149	296	2	µ)(δt	µ)(δt	X
ejpam-6149	296	3	+	+	CCONJ
ejpam-6149	296	4	µ+	µ+	DET
ejpam-6149	296	5	µ2)(γt	µ2)(γt	ADJ
ejpam-6149	296	6	+	+	CCONJ
ejpam-6149	296	7	µ+	µ+	PROPN
ejpam-6149	296	8	µ5	µ5	PROPN
ejpam-6149	296	9	)	)	PUNCT
ejpam-6149	296	10	.	.	PUNCT
ejpam-6149	297	1	this	this	PRON
ejpam-6149	297	2	completes	complete	VERB
ejpam-6149	297	3	the	the	DET
ejpam-6149	297	4	solution	solution	NOUN
ejpam-6149	297	5	for	for	ADP
ejpam-6149	297	6	the	the	DET
ejpam-6149	297	7	existence	existence	NOUN
ejpam-6149	297	8	of	of	ADP
ejpam-6149	297	9	the	the	DET
ejpam-6149	297	10	equilibrium	equilibrium	NOUN
ejpam-6149	297	11	points	point	NOUN
ejpam-6149	297	12	for	for	ADP
ejpam-6149	297	13	the	the	DET
ejpam-6149	297	14	tuberculosis	tuberculosis	NOUN
ejpam-6149	297	15	sub	sub	NOUN
ejpam-6149	297	16	-	-	NOUN
ejpam-6149	297	17	model	model	ADJ
ejpam-6149	297	18	(	(	PUNCT
ejpam-6149	297	19	7	7	NUM
ejpam-6149	297	20	)	)	PUNCT
ejpam-6149	297	21	.	.	PUNCT
ejpam-6149	298	1	the	the	DET
ejpam-6149	298	2	basic	basic	ADJ
ejpam-6149	298	3	reproduction	reproduction	NOUN
ejpam-6149	298	4	number	number	NOUN
ejpam-6149	298	5	of	of	ADP
ejpam-6149	298	6	the	the	DET
ejpam-6149	298	7	tuberculosis	tuberculosis	NOUN
ejpam-6149	298	8	sub	sub	ADJ
ejpam-6149	298	9	-	-	ADJ
ejpam-6149	298	10	model	model	ADJ
ejpam-6149	298	11	r0	r0	NOUN
ejpam-6149	298	12	t	t	PROPN
ejpam-6149	298	13	is	be	AUX
ejpam-6149	298	14	obtained	obtain	VERB
ejpam-6149	298	15	using	use	VERB
ejpam-6149	298	16	the	the	DET
ejpam-6149	298	17	next	next	ADJ
ejpam-6149	298	18	generation	generation	NOUN
ejpam-6149	298	19	matrix	matrix	NOUN
ejpam-6149	299	1	[	[	X
ejpam-6149	299	2	12	12	NUM
ejpam-6149	299	3	]	]	PUNCT
ejpam-6149	299	4	.	.	PUNCT
ejpam-6149	300	1	the	the	DET
ejpam-6149	300	2	f	f	PROPN
ejpam-6149	300	3	is	be	AUX
ejpam-6149	300	4	the	the	DET
ejpam-6149	300	5	transmission	transmission	NOUN
ejpam-6149	300	6	matrix	matrix	NOUN
ejpam-6149	300	7	and	and	CCONJ
ejpam-6149	300	8	the	the	DET
ejpam-6149	300	9	v	v	NOUN
ejpam-6149	300	10	is	be	AUX
ejpam-6149	300	11	the	the	DET
ejpam-6149	300	12	transition	transition	NOUN
ejpam-6149	300	13	matrix	matrix	NOUN
ejpam-6149	300	14	of	of	ADP
ejpam-6149	300	15	the	the	DET
ejpam-6149	300	16	system	system	NOUN
ejpam-6149	300	17	(	(	PUNCT
ejpam-6149	300	18	7	7	X
ejpam-6149	300	19	)	)	PUNCT
ejpam-6149	300	20	are	be	AUX
ejpam-6149	300	21	given	give	VERB
ejpam-6149	300	22	as	as	SCONJ
ejpam-6149	300	23	follows	follow	VERB
ejpam-6149	300	24	j.	j.	PROPN
ejpam-6149	300	25	puebla	puebla	PROPN
ejpam-6149	300	26	,	,	PUNCT
ejpam-6149	300	27	jm	jm	PROPN
ejpam-6149	300	28	.	.	PROPN
ejpam-6149	300	29	macalalag	macalalag	PROPN
ejpam-6149	300	30	,	,	PUNCT
ejpam-6149	300	31	k.	k.	PROPN
ejpam-6149	300	32	pajaron	pajaron	PROPN
ejpam-6149	300	33	/	/	SYM
ejpam-6149	300	34	eur	eur	PROPN
ejpam-6149	300	35	.	.	PUNCT
ejpam-6149	301	1	j.	j.	PROPN
ejpam-6149	301	2	pure	pure	PROPN
ejpam-6149	301	3	appl	appl	PROPN
ejpam-6149	301	4	.	.	PROPN
ejpam-6149	301	5	math	math	PROPN
ejpam-6149	301	6	,	,	PUNCT
ejpam-6149	301	7	18	18	NUM
ejpam-6149	301	8	(	(	PUNCT
ejpam-6149	301	9	3	3	NUM
ejpam-6149	301	10	)	)	PUNCT
ejpam-6149	301	11	(	(	PUNCT
ejpam-6149	301	12	2025	2025	NUM
ejpam-6149	301	13	)	)	PUNCT
ejpam-6149	301	14	,	,	PUNCT
ejpam-6149	301	15	6149	6149	NUM
ejpam-6149	301	16	13	13	NUM
ejpam-6149	301	17	of	of	ADP
ejpam-6149	301	18	28	28	NUM
ejpam-6149	301	19	f	f	NOUN
ejpam-6149	301	20	=	=	PUNCT
ejpam-6149	301	21	βtits	βtits	PROPN
ejpam-6149	301	22	0	0	NUM
ejpam-6149	301	23	0	0	NUM
ejpam-6149	301	24			PROPN
ejpam-6149	301	25	and	and	CCONJ
ejpam-6149	301	26	v	v	NOUN
ejpam-6149	302	1	=	=	SYM
ejpam-6149	302	2			PROPN
ejpam-6149	302	3	(	(	PUNCT
ejpam-6149	302	4	rt	rt	PROPN
ejpam-6149	302	5	+	+	PUNCT
ejpam-6149	302	6	µ)et	µ)et	PROPN
ejpam-6149	302	7	−rtet	−rtet	X
ejpam-6149	302	8	+	+	CCONJ
ejpam-6149	302	9	(	(	PUNCT
ejpam-6149	302	10	δt	δt	X
ejpam-6149	302	11	+	+	CCONJ
ejpam-6149	302	12	µ+	µ+	DET
ejpam-6149	302	13	µ2)it	µ2)it	PROPN
ejpam-6149	302	14	−δtit	−δtit	NOUN
ejpam-6149	302	15	+	+	CCONJ
ejpam-6149	302	16	(	(	PUNCT
ejpam-6149	302	17	γt	γt	NOUN
ejpam-6149	302	18	+	+	X
ejpam-6149	302	19	µ+	µ+	DET
ejpam-6149	302	20	µ5)qt	µ5)qt	PROPN
ejpam-6149	302	21			PROPN
ejpam-6149	302	22	.	.	PUNCT
ejpam-6149	303	1	then	then	ADV
ejpam-6149	303	2	the	the	DET
ejpam-6149	303	3	jacobian	jacobian	ADJ
ejpam-6149	303	4	matrix	matrix	NOUN
ejpam-6149	303	5	of	of	ADP
ejpam-6149	303	6	f	f	PROPN
ejpam-6149	303	7	and	and	CCONJ
ejpam-6149	303	8	v	v	PROPN
ejpam-6149	303	9	evaluated	evaluate	VERB
ejpam-6149	303	10	in	in	ADP
ejpam-6149	303	11	the	the	DET
ejpam-6149	303	12	disease	disease	NOUN
ejpam-6149	303	13	-	-	PUNCT
ejpam-6149	303	14	free	free	ADJ
ejpam-6149	303	15	equilibrium	equilibrium	NOUN
ejpam-6149	303	16	e0	e0	PROPN
ejpam-6149	303	17	t	t	PROPN
ejpam-6149	303	18	f	f	PROPN
ejpam-6149	304	1	=	=	PUNCT
ejpam-6149	304	2	0	0	ADP
ejpam-6149	304	3	βtω	βtω	NOUN
ejpam-6149	304	4	µ	µ	X
ejpam-6149	304	5	0	0	NUM
ejpam-6149	304	6	0	0	NUM
ejpam-6149	304	7	0	0	NUM
ejpam-6149	304	8	0	0	NUM
ejpam-6149	304	9	0	0	NUM
ejpam-6149	304	10	0	0	NUM
ejpam-6149	304	11	0	0	NUM
ejpam-6149	304	12			PROPN
ejpam-6149	304	13	and	and	CCONJ
ejpam-6149	304	14	v	v	NOUN
ejpam-6149	304	15	=	=	NOUN
ejpam-6149	304	16	rt	rt	VERB
ejpam-6149	304	17	+	+	X
ejpam-6149	304	18	µ	µ	X
ejpam-6149	304	19	0	0	NUM
ejpam-6149	304	20	0	0	NUM
ejpam-6149	304	21	−rt	−rt	NOUN
ejpam-6149	304	22	δt	δt	NOUN
ejpam-6149	305	1	+	+	CCONJ
ejpam-6149	305	2	µ+	µ+	PROPN
ejpam-6149	305	3	µ2	µ2	PROPN
ejpam-6149	305	4	0	0	NUM
ejpam-6149	305	5	0	0	NUM
ejpam-6149	305	6	−δt	−δt	NOUN
ejpam-6149	305	7	γt	γt	NOUN
ejpam-6149	305	8	+	+	CCONJ
ejpam-6149	305	9	µ+	µ+	X
ejpam-6149	305	10	µ5	µ5	PROPN
ejpam-6149	305	11			PROPN
ejpam-6149	305	12	.	.	PUNCT
ejpam-6149	306	1	setting	set	VERB
ejpam-6149	306	2	b1	b1	NOUN
ejpam-6149	306	3	=	=	SYM
ejpam-6149	306	4	rt	rt	PROPN
ejpam-6149	306	5	+	+	NUM
ejpam-6149	306	6	µ	µ	NOUN
ejpam-6149	306	7	,	,	PUNCT
ejpam-6149	306	8	b2	b2	NOUN
ejpam-6149	306	9	=	=	SYM
ejpam-6149	306	10	δt	δt	PROPN
ejpam-6149	307	1	+	+	CCONJ
ejpam-6149	307	2	µ+	µ+	PROPN
ejpam-6149	307	3	µ2	µ2	PROPN
ejpam-6149	307	4	,	,	PUNCT
ejpam-6149	307	5	b3	b3	PROPN
ejpam-6149	307	6	=	=	SYM
ejpam-6149	307	7	γt	γt	NOUN
ejpam-6149	307	8	+	+	CCONJ
ejpam-6149	307	9	µ+	µ+	PROPN
ejpam-6149	307	10	µ5	µ5	PROPN
ejpam-6149	307	11	(	(	PUNCT
ejpam-6149	307	12	8)	8)	NUM
ejpam-6149	307	13	hence	hence	ADV
ejpam-6149	307	14	,	,	PUNCT
ejpam-6149	307	15	v	v	ADP
ejpam-6149	307	16	−1	−1	NOUN
ejpam-6149	307	17	=	=	PUNCT
ejpam-6149	307	18			PROPN
ejpam-6149	307	19	1	1	NUM
ejpam-6149	307	20	b1	b1	NOUN
ejpam-6149	307	21	0	0	NUM
ejpam-6149	307	22	0	0	NUM
ejpam-6149	308	1	rt	rt	PROPN
ejpam-6149	308	2	b1b2	b1b2	PROPN
ejpam-6149	308	3	1	1	NUM
ejpam-6149	308	4	b2	b2	NOUN
ejpam-6149	308	5	0	0	NUM
ejpam-6149	308	6	δtrt	δtrt	NOUN
ejpam-6149	308	7	b1b2b3	b1b2b3	NOUN
ejpam-6149	308	8	δt	δt	ADP
ejpam-6149	308	9	b2b3	b2b3	NOUN
ejpam-6149	308	10	1	1	NUM
ejpam-6149	308	11	b3	b3	NOUN
ejpam-6149	308	12			PROPN
ejpam-6149	308	13	.	.	PUNCT
ejpam-6149	309	1	consequently	consequently	ADV
ejpam-6149	309	2	,	,	PUNCT
ejpam-6149	309	3	fv	fv	PROPN
ejpam-6149	309	4	−1	−1	NOUN
ejpam-6149	309	5	=	=	PUNCT
ejpam-6149	310	1			PROPN
ejpam-6149	310	2	βtωrt	βtωrt	NOUN
ejpam-6149	310	3	µb1b2	µb1b2	PROPN
ejpam-6149	310	4	βtω	βtω	NOUN
ejpam-6149	310	5	µb2	µb2	NOUN
ejpam-6149	310	6	0	0	NUM
ejpam-6149	310	7	0	0	NUM
ejpam-6149	310	8	0	0	NUM
ejpam-6149	310	9	0	0	NUM
ejpam-6149	310	10	0	0	NUM
ejpam-6149	310	11	0	0	NUM
ejpam-6149	310	12	0	0	NUM
ejpam-6149	310	13			PROPN
ejpam-6149	310	14	.	.	PUNCT
ejpam-6149	311	1	accordingly	accordingly	ADV
ejpam-6149	311	2	,	,	PUNCT
ejpam-6149	311	3	the	the	DET
ejpam-6149	311	4	largest	large	ADJ
ejpam-6149	311	5	eigenvalue	eigenvalue	NOUN
ejpam-6149	311	6	of	of	ADP
ejpam-6149	311	7	fv	fv	PROPN
ejpam-6149	311	8	−1(λ	−1(λ	NOUN
ejpam-6149	311	9	)	)	PUNCT
ejpam-6149	311	10	is	be	AUX
ejpam-6149	311	11	βtωrt	βtωrt	ADJ
ejpam-6149	311	12	µb1b2	µb1b2	PROPN
ejpam-6149	311	13	.	.	PUNCT
ejpam-6149	312	1	thus	thus	ADV
ejpam-6149	312	2	,	,	PUNCT
ejpam-6149	312	3	the	the	DET
ejpam-6149	312	4	basic	basic	ADJ
ejpam-6149	312	5	reproduction	reproduction	NOUN
ejpam-6149	312	6	number	number	NOUN
ejpam-6149	312	7	of	of	ADP
ejpam-6149	312	8	the	the	DET
ejpam-6149	312	9	tuberculosis	tuberculosis	NOUN
ejpam-6149	312	10	sub	sub	NOUN
ejpam-6149	312	11	-	-	NOUN
ejpam-6149	312	12	model	model	ADJ
ejpam-6149	312	13	(	(	PUNCT
ejpam-6149	312	14	7	7	NUM
ejpam-6149	312	15	)	)	PUNCT
ejpam-6149	312	16	is	be	AUX
ejpam-6149	312	17	r0	r0	NOUN
ejpam-6149	312	18	t	t	NOUN
ejpam-6149	312	19	=	=	SYM
ejpam-6149	312	20	βtωrt	βtωrt	PROPN
ejpam-6149	312	21	µ(rt	µ(rt	PROPN
ejpam-6149	312	22	+	+	CCONJ
ejpam-6149	312	23	µ)(δt	µ)(δt	PROPN
ejpam-6149	312	24	+	+	CCONJ
ejpam-6149	312	25	µ+	µ+	PROPN
ejpam-6149	312	26	µ2	µ2	PROPN
ejpam-6149	312	27	)	)	PUNCT
ejpam-6149	312	28	.	.	PUNCT
ejpam-6149	313	1	it	it	PRON
ejpam-6149	313	2	is	be	AUX
ejpam-6149	313	3	important	important	ADJ
ejpam-6149	313	4	to	to	PART
ejpam-6149	313	5	note	note	VERB
ejpam-6149	313	6	that	that	SCONJ
ejpam-6149	313	7	the	the	DET
ejpam-6149	313	8	endemic	endemic	ADJ
ejpam-6149	313	9	equilibrium	equilibrium	NOUN
ejpam-6149	313	10	can	can	AUX
ejpam-6149	313	11	be	be	AUX
ejpam-6149	313	12	expressed	express	VERB
ejpam-6149	313	13	in	in	ADP
ejpam-6149	313	14	terms	term	NOUN
ejpam-6149	313	15	of	of	ADP
ejpam-6149	313	16	reot	reot	NOUN
ejpam-6149	313	17	,	,	PUNCT
ejpam-6149	313	18	that	that	ADV
ejpam-6149	313	19	is	is	ADV
ejpam-6149	313	20	,	,	PUNCT
ejpam-6149	314	1	s∗	s∗	PROPN
ejpam-6149	314	2	=	=	SYM
ejpam-6149	314	3	ω	ω	NUM
ejpam-6149	314	4	µr0	µr0	NOUN
ejpam-6149	314	5	t	t	NOUN
ejpam-6149	314	6	,	,	PUNCT
ejpam-6149	314	7	e∗	e∗	PROPN
ejpam-6149	314	8	t	t	PROPN
ejpam-6149	314	9	=	=	SYM
ejpam-6149	314	10	ω(r0	ω(r0	PROPN
ejpam-6149	314	11	t	t	NOUN
ejpam-6149	314	12	−	−	PROPN
ejpam-6149	314	13	1	1	NUM
ejpam-6149	314	14	)	)	PUNCT
ejpam-6149	314	15	(	(	PUNCT
ejpam-6149	314	16	rt	rt	PROPN
ejpam-6149	314	17	+	+	PROPN
ejpam-6149	314	18	µ)r0	µ)r0	PROPN
ejpam-6149	314	19	t	t	NOUN
ejpam-6149	314	20	,	,	PUNCT
ejpam-6149	315	1	i∗t	i∗t	NOUN
ejpam-6149	315	2	=	=	SYM
ejpam-6149	315	3	rtω(r0	rtω(r0	PROPN
ejpam-6149	315	4	t	t	PROPN
ejpam-6149	315	5	−	−	NOUN
ejpam-6149	315	6	1	1	NUM
ejpam-6149	315	7	)	)	PUNCT
ejpam-6149	315	8	(	(	PUNCT
ejpam-6149	315	9	rt	rt	PROPN
ejpam-6149	315	10	+	+	PROPN
ejpam-6149	315	11	µ)r0	µ)r0	PROPN
ejpam-6149	315	12	t	t	PROPN
ejpam-6149	315	13	(	(	PUNCT
ejpam-6149	315	14	δt	δt	X
ejpam-6149	315	15	+	+	CCONJ
ejpam-6149	315	16	µ+	µ+	PROPN
ejpam-6149	315	17	µ2	µ2	PROPN
ejpam-6149	315	18	)	)	PUNCT
ejpam-6149	315	19	,	,	PUNCT
ejpam-6149	315	20	q∗	q∗	PROPN
ejpam-6149	315	21	t	t	NOUN
ejpam-6149	315	22	=	=	SYM
ejpam-6149	315	23	δtrtω(r0	δtrtω(r0	PROPN
ejpam-6149	315	24	t	t	X
ejpam-6149	315	25	−	−	NOUN
ejpam-6149	315	26	1	1	NUM
ejpam-6149	315	27	)	)	PUNCT
ejpam-6149	315	28	(	(	PUNCT
ejpam-6149	315	29	rt	rt	PROPN
ejpam-6149	315	30	+	+	PROPN
ejpam-6149	315	31	µ)r0	µ)r0	PROPN
ejpam-6149	315	32	t	t	PROPN
ejpam-6149	315	33	(	(	PUNCT
ejpam-6149	315	34	δt	δt	X
ejpam-6149	315	35	+	+	CCONJ
ejpam-6149	315	36	µ+	µ+	X
ejpam-6149	315	37	µ2)(γt	µ2)(γt	ADJ
ejpam-6149	315	38	+	+	CCONJ
ejpam-6149	315	39	µ+	µ+	PROPN
ejpam-6149	315	40	µ5	µ5	PROPN
ejpam-6149	315	41	)	)	PUNCT
ejpam-6149	315	42	.	.	PUNCT
ejpam-6149	316	1	hence	hence	ADV
ejpam-6149	316	2	,	,	PUNCT
ejpam-6149	316	3	the	the	DET
ejpam-6149	316	4	unique	unique	ADJ
ejpam-6149	316	5	positive	positive	ADJ
ejpam-6149	316	6	endemic	endemic	ADJ
ejpam-6149	316	7	equilibrium	equilibrium	NOUN
ejpam-6149	316	8	for	for	ADP
ejpam-6149	316	9	the	the	DET
ejpam-6149	316	10	tuberculosis	tuberculosis	NOUN
ejpam-6149	316	11	sub	sub	NOUN
ejpam-6149	316	12	-	-	NOUN
ejpam-6149	316	13	model	model	ADJ
ejpam-6149	316	14	(	(	PUNCT
ejpam-6149	316	15	7	7	NUM
ejpam-6149	316	16	)	)	PUNCT
ejpam-6149	316	17	only	only	ADV
ejpam-6149	316	18	exists	exist	VERB
ejpam-6149	316	19	when	when	SCONJ
ejpam-6149	316	20	reot	reot	VERB
ejpam-6149	316	21	>	>	X
ejpam-6149	316	22	1	1	X
ejpam-6149	316	23	.	.	PUNCT
ejpam-6149	317	1	in	in	ADP
ejpam-6149	317	2	particular	particular	ADJ
ejpam-6149	317	3	,	,	PUNCT
ejpam-6149	317	4	we	we	PRON
ejpam-6149	317	5	have	have	VERB
ejpam-6149	317	6	the	the	DET
ejpam-6149	317	7	following	follow	VERB
ejpam-6149	317	8	result	result	NOUN
ejpam-6149	317	9	.	.	PUNCT
ejpam-6149	318	1	theorem	theorem	ADJ
ejpam-6149	318	2	5	5	NUM
ejpam-6149	318	3	.	.	PUNCT
ejpam-6149	319	1	if	if	SCONJ
ejpam-6149	319	2	r0	r0	PROPN
ejpam-6149	319	3	t	t	PROPN
ejpam-6149	319	4	>	>	X
ejpam-6149	319	5	1	1	NUM
ejpam-6149	319	6	,	,	PUNCT
ejpam-6149	319	7	then	then	ADV
ejpam-6149	319	8	the	the	DET
ejpam-6149	319	9	tuberculosis	tuberculosis	ADJ
ejpam-6149	319	10	sub	sub	NOUN
ejpam-6149	319	11	-	-	NOUN
ejpam-6149	319	12	model	model	ADJ
ejpam-6149	319	13	(	(	PUNCT
ejpam-6149	319	14	7	7	NUM
ejpam-6149	319	15	)	)	PUNCT
ejpam-6149	319	16	has	have	VERB
ejpam-6149	319	17	a	a	DET
ejpam-6149	319	18	unique	unique	ADJ
ejpam-6149	319	19	positive	positive	ADJ
ejpam-6149	319	20	endemic	endemic	ADJ
ejpam-6149	319	21	equilibrium	equilibrium	NOUN
ejpam-6149	319	22	.	.	PUNCT
ejpam-6149	320	1	3.5	3.5	NUM
ejpam-6149	320	2	.	.	PUNCT
ejpam-6149	321	1	stability	stability	NOUN
ejpam-6149	321	2	analysis	analysis	NOUN
ejpam-6149	321	3	of	of	ADP
ejpam-6149	321	4	the	the	DET
ejpam-6149	321	5	equilibrium	equilibrium	NOUN
ejpam-6149	321	6	points	point	NOUN
ejpam-6149	321	7	for	for	ADP
ejpam-6149	321	8	the	the	DET
ejpam-6149	321	9	tuberculosis	tuberculosis	NOUN
ejpam-6149	321	10	sub	sub	ADJ
ejpam-6149	321	11	-	-	ADJ
ejpam-6149	321	12	model	model	ADJ
ejpam-6149	321	13	theorem	theorem	NOUN
ejpam-6149	321	14	6	6	NUM
ejpam-6149	321	15	.	.	PUNCT
ejpam-6149	322	1	if	if	SCONJ
ejpam-6149	322	2	r0	r0	NOUN
ejpam-6149	322	3	t	t	PROPN
ejpam-6149	322	4	<	<	X
ejpam-6149	322	5	1	1	NUM
ejpam-6149	322	6	,	,	PUNCT
ejpam-6149	322	7	then	then	ADV
ejpam-6149	322	8	the	the	DET
ejpam-6149	322	9	tuberculosis	tuberculosis	ADJ
ejpam-6149	322	10	sub	sub	NOUN
ejpam-6149	322	11	-	-	NOUN
ejpam-6149	322	12	model	model	ADJ
ejpam-6149	322	13	(	(	PUNCT
ejpam-6149	322	14	7	7	NUM
ejpam-6149	322	15	)	)	PUNCT
ejpam-6149	322	16	is	be	AUX
ejpam-6149	322	17	locally	locally	ADV
ejpam-6149	322	18	asymptotically	asymptotically	ADV
ejpam-6149	322	19	stable	stable	ADJ
ejpam-6149	322	20	at	at	ADP
ejpam-6149	322	21	the	the	DET
ejpam-6149	322	22	disease	disease	NOUN
ejpam-6149	322	23	-	-	PUNCT
ejpam-6149	322	24	free	free	ADJ
ejpam-6149	322	25	equilibrium	equilibrium	NOUN
ejpam-6149	322	26	eot	eot	NOUN
ejpam-6149	322	27	and	and	CCONJ
ejpam-6149	322	28	unstable	unstable	ADJ
ejpam-6149	322	29	otherwise	otherwise	ADV
ejpam-6149	322	30	.	.	PUNCT
ejpam-6149	323	1	j.	j.	PROPN
ejpam-6149	323	2	puebla	puebla	PROPN
ejpam-6149	323	3	,	,	PUNCT
ejpam-6149	323	4	jm	jm	PROPN
ejpam-6149	323	5	.	.	PROPN
ejpam-6149	323	6	macalalag	macalalag	PROPN
ejpam-6149	323	7	,	,	PUNCT
ejpam-6149	323	8	k.	k.	PROPN
ejpam-6149	323	9	pajaron	pajaron	PROPN
ejpam-6149	323	10	/	/	SYM
ejpam-6149	323	11	eur	eur	PROPN
ejpam-6149	323	12	.	.	PUNCT
ejpam-6149	324	1	j.	j.	PROPN
ejpam-6149	324	2	pure	pure	PROPN
ejpam-6149	324	3	appl	appl	PROPN
ejpam-6149	324	4	.	.	PROPN
ejpam-6149	324	5	math	math	PROPN
ejpam-6149	324	6	,	,	PUNCT
ejpam-6149	324	7	18	18	NUM
ejpam-6149	324	8	(	(	PUNCT
ejpam-6149	324	9	3	3	NUM
ejpam-6149	324	10	)	)	PUNCT
ejpam-6149	324	11	(	(	PUNCT
ejpam-6149	324	12	2025	2025	NUM
ejpam-6149	324	13	)	)	PUNCT
ejpam-6149	324	14	,	,	PUNCT
ejpam-6149	324	15	6149	6149	NUM
ejpam-6149	324	16	14	14	NUM
ejpam-6149	324	17	of	of	ADP
ejpam-6149	324	18	28	28	NUM
ejpam-6149	324	19	proof	proof	NOUN
ejpam-6149	324	20	.	.	PUNCT
ejpam-6149	325	1	the	the	DET
ejpam-6149	325	2	jacobian	jacobian	ADJ
ejpam-6149	325	3	matrix	matrix	NOUN
ejpam-6149	325	4	of	of	ADP
ejpam-6149	325	5	system	system	NOUN
ejpam-6149	325	6	(	(	PUNCT
ejpam-6149	325	7	7	7	X
ejpam-6149	325	8	)	)	PUNCT
ejpam-6149	325	9	evaluated	evaluate	VERB
ejpam-6149	325	10	at	at	ADP
ejpam-6149	325	11	disease	disease	NOUN
ejpam-6149	325	12	-	-	PUNCT
ejpam-6149	325	13	free	free	ADJ
ejpam-6149	325	14	equilibrium	equilibrium	NOUN
ejpam-6149	325	15	e0	e0	PROPN
ejpam-6149	325	16	t	t	PROPN
ejpam-6149	325	17	is	be	AUX
ejpam-6149	325	18	given	give	VERB
ejpam-6149	325	19	by	by	ADP
ejpam-6149	325	20	je0	je0	PROPN
ejpam-6149	325	21	t	t	NOUN
ejpam-6149	325	22	=	=	SYM
ejpam-6149	325	23	(	(	PUNCT
ejpam-6149	325	24	ω	ω	PROPN
ejpam-6149	325	25	µ	µ	X
ejpam-6149	325	26	,	,	PUNCT
ejpam-6149	325	27	0	0	NUM
ejpam-6149	325	28	,	,	PUNCT
ejpam-6149	325	29	0	0	NUM
ejpam-6149	325	30	,	,	PUNCT
ejpam-6149	325	31	0	0	NUM
ejpam-6149	325	32	)	)	PUNCT
ejpam-6149	325	33	,	,	PUNCT
ejpam-6149	325	34	that	that	PRON
ejpam-6149	325	35	is	be	AUX
ejpam-6149	325	36	je0	je0	PROPN
ejpam-6149	325	37	t	t	NOUN
ejpam-6149	325	38	=	=	SYM
ejpam-6149	325	39			PROPN
ejpam-6149	325	40	−µ	−µ	ADJ
ejpam-6149	325	41	0	0	NUM
ejpam-6149	325	42	−βtω	−βtω	NOUN
ejpam-6149	325	43	µ	µ	X
ejpam-6149	325	44	0	0	NUM
ejpam-6149	325	45	0	0	NUM
ejpam-6149	325	46	−b1	−b1	PROPN
ejpam-6149	325	47	βtω	βtω	NOUN
ejpam-6149	325	48	µ	µ	X
ejpam-6149	325	49	0	0	NUM
ejpam-6149	325	50	0	0	NUM
ejpam-6149	325	51	rt	rt	PROPN
ejpam-6149	325	52	−b2	−b2	ADV
ejpam-6149	325	53	0	0	NUM
ejpam-6149	325	54	0	0	NUM
ejpam-6149	325	55	0	0	NUM
ejpam-6149	325	56	δt	δt	ADP
ejpam-6149	325	57	−b3	−b3	PROPN
ejpam-6149	325	58			NOUN
ejpam-6149	325	59	,	,	PUNCT
ejpam-6149	325	60	where	where	SCONJ
ejpam-6149	325	61	b1	b1	NOUN
ejpam-6149	325	62	,	,	PUNCT
ejpam-6149	325	63	b2	b2	NOUN
ejpam-6149	325	64	and	and	CCONJ
ejpam-6149	325	65	b3	b3	PROPN
ejpam-6149	325	66	are	be	AUX
ejpam-6149	325	67	given	give	VERB
ejpam-6149	325	68	in	in	ADP
ejpam-6149	325	69	(	(	PUNCT
ejpam-6149	325	70	8)	8)	NUM
ejpam-6149	325	71	.	.	PUNCT
ejpam-6149	326	1	the	the	DET
ejpam-6149	326	2	characteristic	characteristic	ADJ
ejpam-6149	326	3	polynomial	polynomial	NOUN
ejpam-6149	326	4	of	of	ADP
ejpam-6149	326	5	the	the	DET
ejpam-6149	326	6	jacobian	jacobian	ADJ
ejpam-6149	326	7	matrix	matrix	NOUN
ejpam-6149	326	8	je0	je0	PROPN
ejpam-6149	326	9	t	t	PROPN
ejpam-6149	326	10	is	be	AUX
ejpam-6149	326	11	je0	je0	PROPN
ejpam-6149	326	12	t	t	PROPN
ejpam-6149	326	13	(	(	PUNCT
ejpam-6149	326	14	λ	λ	NOUN
ejpam-6149	326	15	)	)	PUNCT
ejpam-6149	326	16	=	=	SYM
ejpam-6149	326	17	(	(	PUNCT
ejpam-6149	326	18	−µ−	−µ−	NOUN
ejpam-6149	326	19	λ)(−b3	λ)(−b3	PROPN
ejpam-6149	326	20	−	−	PROPN
ejpam-6149	326	21	λ	λ	NOUN
ejpam-6149	326	22	)	)	PUNCT
ejpam-6149	326	23	(	(	PUNCT
ejpam-6149	326	24	λ2	λ2	NOUN
ejpam-6149	326	25	+	+	CCONJ
ejpam-6149	326	26	(	(	PUNCT
ejpam-6149	326	27	b1	b1	NOUN
ejpam-6149	326	28	+	+	PROPN
ejpam-6149	326	29	b2)λ+b1b2	b2)λ+b1b2	PROPN
ejpam-6149	326	30	−	−	PROPN
ejpam-6149	326	31	βtωrt	βtωrt	PROPN
ejpam-6149	326	32	µ	µ	X
ejpam-6149	326	33	)	)	PUNCT
ejpam-6149	326	34	.	.	PUNCT
ejpam-6149	327	1	certainly	certainly	ADV
ejpam-6149	327	2	,	,	PUNCT
ejpam-6149	327	3	the	the	DET
ejpam-6149	327	4	eigenvalues	eigenvalue	NOUN
ejpam-6149	327	5	λ	λ	X
ejpam-6149	327	6	=	=	SYM
ejpam-6149	327	7	−µ	−µ	ADJ
ejpam-6149	327	8	<	<	X
ejpam-6149	327	9	0	0	PUNCT
ejpam-6149	327	10	and	and	CCONJ
ejpam-6149	327	11	λ	λ	X
ejpam-6149	327	12	=	=	SYM
ejpam-6149	327	13	−b3	−b3	PROPN
ejpam-6149	327	14	<	<	X
ejpam-6149	327	15	0	0	NUM
ejpam-6149	327	16	.	.	PUNCT
ejpam-6149	328	1	the	the	DET
ejpam-6149	328	2	other	other	ADJ
ejpam-6149	328	3	eigenvalues	eigenvalue	NOUN
ejpam-6149	328	4	are	be	AUX
ejpam-6149	328	5	determined	determine	VERB
ejpam-6149	328	6	by	by	ADP
ejpam-6149	328	7	the	the	DET
ejpam-6149	328	8	second	second	ADJ
ejpam-6149	328	9	order	order	NOUN
ejpam-6149	328	10	polynomial	polynomial	ADJ
ejpam-6149	328	11	factor	factor	NOUN
ejpam-6149	328	12	which	which	PRON
ejpam-6149	328	13	can	can	AUX
ejpam-6149	328	14	be	be	AUX
ejpam-6149	328	15	expressed	express	VERB
ejpam-6149	328	16	as	as	ADP
ejpam-6149	328	17	λ2	λ2	NOUN
ejpam-6149	328	18	+	+	CCONJ
ejpam-6149	328	19	(	(	PUNCT
ejpam-6149	328	20	b1	b1	NOUN
ejpam-6149	328	21	+	+	PROPN
ejpam-6149	328	22	b2)λ+b1b2	b2)λ+b1b2	PROPN
ejpam-6149	328	23	(	(	PUNCT
ejpam-6149	328	24	1−r0	1−r0	NUM
ejpam-6149	328	25	t	t	NOUN
ejpam-6149	328	26	)	)	PUNCT
ejpam-6149	328	27	.	.	PUNCT
ejpam-6149	329	1	if	if	SCONJ
ejpam-6149	329	2	r0	r0	NOUN
ejpam-6149	329	3	t	t	PROPN
ejpam-6149	329	4	<	<	X
ejpam-6149	329	5	1	1	NUM
ejpam-6149	329	6	,	,	PUNCT
ejpam-6149	329	7	then	then	ADV
ejpam-6149	329	8	the	the	DET
ejpam-6149	329	9	coefficient	coefficient	NOUN
ejpam-6149	329	10	b1	b1	NOUN
ejpam-6149	329	11	+	+	CCONJ
ejpam-6149	329	12	b2	b2	NOUN
ejpam-6149	329	13	and	and	CCONJ
ejpam-6149	329	14	the	the	DET
ejpam-6149	329	15	constant	constant	ADJ
ejpam-6149	329	16	term	term	NOUN
ejpam-6149	329	17	b1b2	b1b2	NOUN
ejpam-6149	329	18	(	(	PUNCT
ejpam-6149	329	19	1	1	NUM
ejpam-6149	329	20	−	−	PROPN
ejpam-6149	329	21	r0	r0	NOUN
ejpam-6149	329	22	t	t	PROPN
ejpam-6149	329	23	)	)	PUNCT
ejpam-6149	329	24	are	be	AUX
ejpam-6149	329	25	all	all	ADV
ejpam-6149	329	26	positive	positive	ADJ
ejpam-6149	329	27	.	.	PUNCT
ejpam-6149	330	1	hence	hence	ADV
ejpam-6149	330	2	,	,	PUNCT
ejpam-6149	330	3	by	by	ADP
ejpam-6149	330	4	routh	routh	PROPN
ejpam-6149	330	5	-	-	PUNCT
ejpam-6149	330	6	hurwitz	hurwitz	PROPN
ejpam-6149	330	7	criterion	criterion	NOUN
ejpam-6149	330	8	,	,	PUNCT
ejpam-6149	330	9	the	the	DET
ejpam-6149	330	10	tuberculosis	tuberculosis	NOUN
ejpam-6149	330	11	-	-	PUNCT
ejpam-6149	330	12	only	only	ADV
ejpam-6149	330	13	submodel	submodel	NOUN
ejpam-6149	330	14	(	(	PUNCT
ejpam-6149	330	15	7	7	NUM
ejpam-6149	330	16	)	)	PUNCT
ejpam-6149	330	17	is	be	AUX
ejpam-6149	330	18	locally	locally	ADV
ejpam-6149	330	19	asymptotically	asymptotically	ADV
ejpam-6149	330	20	stable	stable	ADJ
ejpam-6149	330	21	at	at	ADP
ejpam-6149	330	22	the	the	DET
ejpam-6149	330	23	disease	disease	NOUN
ejpam-6149	330	24	-	-	PUNCT
ejpam-6149	330	25	free	free	ADJ
ejpam-6149	330	26	equilibrium	equilibrium	NOUN
ejpam-6149	330	27	point	point	NOUN
ejpam-6149	330	28	e0	e0	PROPN
ejpam-6149	330	29	t	t	PROPN
ejpam-6149	330	30	when	when	SCONJ
ejpam-6149	330	31	r0	r0	NOUN
ejpam-6149	330	32	t	t	PROPN
ejpam-6149	330	33	<	<	X
ejpam-6149	330	34	1	1	NUM
ejpam-6149	330	35	and	and	CCONJ
ejpam-6149	330	36	unstable	unstable	ADJ
ejpam-6149	330	37	otherwise	otherwise	ADV
ejpam-6149	330	38	.	.	PUNCT
ejpam-6149	331	1	theorem	theorem	ADJ
ejpam-6149	331	2	7	7	NUM
ejpam-6149	331	3	.	.	PUNCT
ejpam-6149	332	1	if	if	SCONJ
ejpam-6149	332	2	r0	r0	NOUN
ejpam-6149	332	3	t	t	PROPN
ejpam-6149	332	4	<	<	X
ejpam-6149	332	5	1	1	NUM
ejpam-6149	332	6	,	,	PUNCT
ejpam-6149	332	7	then	then	ADV
ejpam-6149	332	8	the	the	DET
ejpam-6149	332	9	tuberculosis	tuberculosis	ADJ
ejpam-6149	332	10	sub	sub	NOUN
ejpam-6149	332	11	-	-	NOUN
ejpam-6149	332	12	model	model	ADJ
ejpam-6149	332	13	(	(	PUNCT
ejpam-6149	332	14	7	7	NUM
ejpam-6149	332	15	)	)	PUNCT
ejpam-6149	332	16	is	be	AUX
ejpam-6149	332	17	globally	globally	ADV
ejpam-6149	332	18	asymptotically	asymptotically	ADV
ejpam-6149	332	19	stable	stable	ADJ
ejpam-6149	332	20	at	at	ADP
ejpam-6149	332	21	the	the	DET
ejpam-6149	332	22	disease	disease	NOUN
ejpam-6149	332	23	-	-	PUNCT
ejpam-6149	332	24	free	free	ADJ
ejpam-6149	332	25	equilibrium	equilibrium	NOUN
ejpam-6149	332	26	e0	e0	PROPN
ejpam-6149	332	27	t	t	PROPN
ejpam-6149	332	28	.	.	PUNCT
ejpam-6149	333	1	proof	proof	NOUN
ejpam-6149	333	2	.	.	PUNCT
ejpam-6149	334	1	consider	consider	VERB
ejpam-6149	334	2	the	the	DET
ejpam-6149	334	3	lyapunov	lyapunov	ADJ
ejpam-6149	334	4	function	function	NOUN
ejpam-6149	334	5	below	below	ADP
ejpam-6149	334	6	l	l	NOUN
ejpam-6149	334	7	=	=	PUNCT
ejpam-6149	334	8	(	(	PUNCT
ejpam-6149	334	9	δt	δt	X
ejpam-6149	334	10	+	+	CCONJ
ejpam-6149	334	11	µ+	µ+	PUNCT
ejpam-6149	334	12	µ2)et	µ2)et	NOUN
ejpam-6149	334	13	+	+	CCONJ
ejpam-6149	334	14	(	(	PUNCT
ejpam-6149	334	15	βtω	βtω	NOUN
ejpam-6149	334	16	µ	µ	X
ejpam-6149	334	17	)	)	PUNCT
ejpam-6149	334	18	it	it	PRON
ejpam-6149	334	19	.	.	PUNCT
ejpam-6149	335	1	the	the	DET
ejpam-6149	335	2	time	time	NOUN
ejpam-6149	335	3	derivative	derivative	ADJ
ejpam-6149	335	4	of	of	ADP
ejpam-6149	335	5	l	l	NOUN
ejpam-6149	335	6	computed	compute	VERB
ejpam-6149	335	7	along	along	ADP
ejpam-6149	335	8	the	the	DET
ejpam-6149	335	9	solution	solution	NOUN
ejpam-6149	335	10	of	of	ADP
ejpam-6149	335	11	(	(	PUNCT
ejpam-6149	335	12	7	7	NUM
ejpam-6149	335	13	)	)	PUNCT
ejpam-6149	335	14	is	be	AUX
ejpam-6149	335	15	negative	negative	ADJ
ejpam-6149	335	16	semi	semi	ADJ
ejpam-6149	335	17	-	-	ADJ
ejpam-6149	335	18	definite	definite	ADJ
ejpam-6149	335	19	,	,	PUNCT
ejpam-6149	335	20	that	that	ADV
ejpam-6149	335	21	is	be	AUX
ejpam-6149	335	22	,	,	PUNCT
ejpam-6149	335	23	·	·	PUNCT
ejpam-6149	335	24	l	l	PUNCT
ejpam-6149	335	25	=	=	PUNCT
ejpam-6149	335	26	(	(	PUNCT
ejpam-6149	335	27	δt	δt	NOUN
ejpam-6149	335	28	+	+	CCONJ
ejpam-6149	335	29	µ+	µ+	PUNCT
ejpam-6149	335	30	µ2)e	µ2)e	NOUN
ejpam-6149	335	31	′	′	NUM
ejpam-6149	335	32	t	t	PROPN
ejpam-6149	335	33	(	(	PUNCT
ejpam-6149	335	34	t	t	PROPN
ejpam-6149	335	35	)	)	PUNCT
ejpam-6149	336	1	+	+	CCONJ
ejpam-6149	336	2	(	(	PUNCT
ejpam-6149	336	3	βtω	βtω	NOUN
ejpam-6149	336	4	µ	µ	X
ejpam-6149	336	5	)	)	PUNCT
ejpam-6149	337	1	i	i	PRON
ejpam-6149	337	2	′t	′t	VERB
ejpam-6149	337	3	(	(	PUNCT
ejpam-6149	337	4	t	t	NOUN
ejpam-6149	337	5	)	)	PUNCT
ejpam-6149	337	6	=	=	PUNCT
ejpam-6149	337	7	(	(	PUNCT
ejpam-6149	337	8	δt	δt	NOUN
ejpam-6149	337	9	+	+	CCONJ
ejpam-6149	337	10	µ+	µ+	PROPN
ejpam-6149	337	11	µ2	µ2	PROPN
ejpam-6149	337	12	)	)	PUNCT
ejpam-6149	337	13	[	[	PUNCT
ejpam-6149	337	14	βtits	βtit	VERB
ejpam-6149	337	15	−	−	PROPN
ejpam-6149	337	16	(	(	PUNCT
ejpam-6149	337	17	rt	rt	PROPN
ejpam-6149	337	18	+	+	PUNCT
ejpam-6149	337	19	µ)et	µ)et	PROPN
ejpam-6149	337	20	]	]	PUNCT
ejpam-6149	338	1	+	+	CCONJ
ejpam-6149	338	2	(	(	PUNCT
ejpam-6149	338	3	βtω	βtω	NOUN
ejpam-6149	338	4	µ	µ	X
ejpam-6149	338	5	)	)	PUNCT
ejpam-6149	338	6	[	[	PUNCT
ejpam-6149	338	7	rtet	rtet	NOUN
ejpam-6149	338	8	−	−	PROPN
ejpam-6149	338	9	(	(	PUNCT
ejpam-6149	338	10	δt	δt	X
ejpam-6149	338	11	+	+	CCONJ
ejpam-6149	338	12	µ+	µ+	X
ejpam-6149	338	13	µ2)it	µ2)it	PROPN
ejpam-6149	338	14	]	]	PUNCT
ejpam-6149	338	15	≤	≤	NUM
ejpam-6149	338	16	(	(	PUNCT
ejpam-6149	338	17	δt	δt	X
ejpam-6149	338	18	+	+	CCONJ
ejpam-6149	338	19	µ+	µ+	PROPN
ejpam-6149	338	20	µ2	µ2	PROPN
ejpam-6149	338	21	)	)	PUNCT
ejpam-6149	338	22	[	[	PUNCT
ejpam-6149	338	23	βtit	βtit	NOUN
ejpam-6149	338	24	(	(	PUNCT
ejpam-6149	338	25	ω	ω	NOUN
ejpam-6149	338	26	µ	µ	NOUN
ejpam-6149	338	27	)	)	PUNCT
ejpam-6149	338	28	−	−	PROPN
ejpam-6149	338	29	(	(	PUNCT
ejpam-6149	338	30	rt	rt	NOUN
ejpam-6149	338	31	+	+	PUNCT
ejpam-6149	338	32	µ)et	µ)et	PROPN
ejpam-6149	338	33	]	]	PUNCT
ejpam-6149	338	34	+	+	CCONJ
ejpam-6149	338	35	(	(	PUNCT
ejpam-6149	338	36	βtω	βtω	NOUN
ejpam-6149	338	37	µ	µ	X
ejpam-6149	338	38	)	)	PUNCT
ejpam-6149	338	39	[	[	PUNCT
ejpam-6149	338	40	rtet	rtet	NOUN
ejpam-6149	338	41	−	−	PROPN
ejpam-6149	338	42	(	(	PUNCT
ejpam-6149	338	43	δt	δt	X
ejpam-6149	338	44	+	+	CCONJ
ejpam-6149	338	45	µ+	µ+	X
ejpam-6149	338	46	µ2)it	µ2)it	NOUN
ejpam-6149	338	47	]	]	PUNCT
ejpam-6149	338	48	=	=	PUNCT
ejpam-6149	338	49	−(δt	−(δt	PROPN
ejpam-6149	338	50	+	+	CCONJ
ejpam-6149	338	51	µ+	µ+	X
ejpam-6149	338	52	µ2)(rt	µ2)(rt	PROPN
ejpam-6149	338	53	+	+	PUNCT
ejpam-6149	338	54	µ)et	µ)et	PROPN
ejpam-6149	338	55	+	+	NUM
ejpam-6149	338	56	βtωrtet	βtωrtet	X
ejpam-6149	338	57	µ	µ	X
ejpam-6149	338	58	=	=	X
ejpam-6149	338	59	[	[	PUNCT
ejpam-6149	338	60	(	(	PUNCT
ejpam-6149	338	61	δt	δt	X
ejpam-6149	338	62	+	+	CCONJ
ejpam-6149	338	63	µ+	µ+	X
ejpam-6149	338	64	µ2)(rt	µ2)(rt	NOUN
ejpam-6149	338	65	+	+	PUNCT
ejpam-6149	338	66	µ)et	µ)et	NOUN
ejpam-6149	338	67	]	]	PUNCT
ejpam-6149	338	68	(	(	PUNCT
ejpam-6149	338	69	r0	r0	NOUN
ejpam-6149	338	70	t	t	NOUN
ejpam-6149	338	71	−	−	NUM
ejpam-6149	338	72	1	1	NUM
ejpam-6149	338	73	)	)	PUNCT
ejpam-6149	338	74	≤	≤	NOUN
ejpam-6149	338	75	0	0	PUNCT
ejpam-6149	339	1	if	if	SCONJ
ejpam-6149	339	2	r0	r0	NOUN
ejpam-6149	339	3	t	t	NOUN
ejpam-6149	339	4	<	<	X
ejpam-6149	339	5	1	1	NUM
ejpam-6149	339	6	.	.	PUNCT
ejpam-6149	340	1	if	if	SCONJ
ejpam-6149	340	2	the	the	DET
ejpam-6149	340	3	solution	solution	NOUN
ejpam-6149	340	4	of	of	ADP
ejpam-6149	340	5	the	the	DET
ejpam-6149	340	6	system	system	NOUN
ejpam-6149	340	7	is	be	AUX
ejpam-6149	340	8	x∗	x∗	PROPN
ejpam-6149	340	9	=	=	SYM
ejpam-6149	340	10	e0	e0	PROPN
ejpam-6149	340	11	t	t	PROPN
ejpam-6149	340	12	,	,	PUNCT
ejpam-6149	340	13	then	then	ADV
ejpam-6149	340	14	·	·	PUNCT
ejpam-6149	340	15	l	l	PUNCT
ejpam-6149	340	16	=	=	SYM
ejpam-6149	340	17	0	0	X
ejpam-6149	340	18	.	.	PUNCT
ejpam-6149	341	1	conversely	conversely	ADV
ejpam-6149	341	2	,	,	PUNCT
ejpam-6149	341	3	if	if	SCONJ
ejpam-6149	341	4	·	·	PUNCT
ejpam-6149	341	5	l	l	NOUN
ejpam-6149	341	6	=	=	SYM
ejpam-6149	341	7	0	0	NUM
ejpam-6149	341	8	,	,	PUNCT
ejpam-6149	341	9	then	then	ADV
ejpam-6149	341	10	st	st	PROPN
ejpam-6149	341	11	=	=	SYM
ejpam-6149	341	12	ω	ω	PROPN
ejpam-6149	341	13	µ	µ	X
ejpam-6149	341	14	,	,	PUNCT
ejpam-6149	341	15	it	it	PRON
ejpam-6149	341	16	=	=	SYM
ejpam-6149	341	17	0	0	NUM
ejpam-6149	341	18	,	,	PUNCT
ejpam-6149	341	19	et	et	NOUN
ejpam-6149	341	20	=	=	SYM
ejpam-6149	341	21	0	0	NUM
ejpam-6149	341	22	and	and	CCONJ
ejpam-6149	341	23	qt	qt	X
ejpam-6149	341	24	=	=	NOUN
ejpam-6149	341	25	0	0	NUM
ejpam-6149	341	26	.	.	PUNCT
ejpam-6149	342	1	hence	hence	ADV
ejpam-6149	342	2	,	,	PUNCT
ejpam-6149	342	3	·	·	PUNCT
ejpam-6149	342	4	l	l	PUNCT
ejpam-6149	342	5	=	=	PUNCT
ejpam-6149	342	6	0	0	PUNCT
ejpam-6149	343	1	if	if	SCONJ
ejpam-6149	343	2	and	and	CCONJ
ejpam-6149	343	3	only	only	ADV
ejpam-6149	343	4	if	if	SCONJ
ejpam-6149	343	5	x∗	x∗	PROPN
ejpam-6149	343	6	=	=	SYM
ejpam-6149	343	7	e0	e0	PROPN
ejpam-6149	343	8	t	t	PROPN
ejpam-6149	343	9	.	.	PUNCT
ejpam-6149	344	1	so	so	ADV
ejpam-6149	344	2	,	,	PUNCT
ejpam-6149	344	3	l	l	NOUN
ejpam-6149	344	4	is	be	AUX
ejpam-6149	344	5	a	a	DET
ejpam-6149	344	6	lyapunov	lyapunov	ADJ
ejpam-6149	344	7	function	function	NOUN
ejpam-6149	344	8	on	on	ADP
ejpam-6149	344	9	ωt	ωt	ADP
ejpam-6149	344	10	and	and	CCONJ
ejpam-6149	344	11	the	the	DET
ejpam-6149	344	12	largest	large	ADJ
ejpam-6149	344	13	compact	compact	ADJ
ejpam-6149	344	14	invariant	invariant	ADJ
ejpam-6149	344	15	set	set	VERB
ejpam-6149	344	16	in	in	ADP
ejpam-6149	344	17	{	{	PUNCT
ejpam-6149	344	18	(	(	PUNCT
ejpam-6149	344	19	s	s	X
ejpam-6149	344	20	,	,	PUNCT
ejpam-6149	344	21	et	et	NOUN
ejpam-6149	344	22	,	,	PUNCT
ejpam-6149	344	23	it	it	PRON
ejpam-6149	344	24	,	,	PUNCT
ejpam-6149	344	25	qt	qt	NOUN
ejpam-6149	344	26	)	)	PUNCT
ejpam-6149	344	27	∈	∈	PROPN
ejpam-6149	344	28	ωt	ωt	ADP
ejpam-6149	344	29	:	:	PUNCT
ejpam-6149	344	30	·	·	PUNCT
ejpam-6149	344	31	l	l	PUNCT
ejpam-6149	344	32	=	=	SYM
ejpam-6149	344	33	0	0	NUM
ejpam-6149	344	34	}	}	PUNCT
ejpam-6149	344	35	is	be	AUX
ejpam-6149	344	36	{	{	PUNCT
ejpam-6149	344	37	(	(	PUNCT
ejpam-6149	344	38	ωµ	ωµ	INTJ
ejpam-6149	344	39	,	,	PUNCT
ejpam-6149	344	40	0	0	NUM
ejpam-6149	344	41	,	,	PUNCT
ejpam-6149	344	42	0	0	NUM
ejpam-6149	344	43	,	,	PUNCT
ejpam-6149	344	44	0	0	NUM
ejpam-6149	344	45	)	)	PUNCT
ejpam-6149	344	46	}	}	PUNCT
ejpam-6149	344	47	.	.	PUNCT
ejpam-6149	345	1	thus	thus	ADV
ejpam-6149	345	2	,	,	PUNCT
ejpam-6149	345	3	by	by	ADP
ejpam-6149	345	4	lasalle	lasalle	PROPN
ejpam-6149	345	5	’s	’s	PART
ejpam-6149	345	6	invariance	invariance	NOUN
ejpam-6149	345	7	principle	principle	NOUN
ejpam-6149	345	8	,	,	PUNCT
ejpam-6149	345	9	every	every	DET
ejpam-6149	345	10	solution	solution	NOUN
ejpam-6149	345	11	of	of	ADP
ejpam-6149	345	12	system	system	NOUN
ejpam-6149	345	13	(	(	PUNCT
ejpam-6149	345	14	7	7	NUM
ejpam-6149	345	15	)	)	PUNCT
ejpam-6149	345	16	with	with	ADP
ejpam-6149	345	17	the	the	DET
ejpam-6149	345	18	initial	initial	ADJ
ejpam-6149	345	19	conditions	condition	NOUN
ejpam-6149	345	20	in	in	ADP
ejpam-6149	345	21	ωt	ωt	ADP
ejpam-6149	345	22	approaches	approach	NOUN
ejpam-6149	345	23	e0	e0	PROPN
ejpam-6149	345	24	t	t	NOUN
ejpam-6149	345	25	=	=	SYM
ejpam-6149	345	26	(	(	PUNCT
ejpam-6149	345	27	ωµ	ωµ	ADP
ejpam-6149	345	28	,	,	PUNCT
ejpam-6149	345	29	0	0	NUM
ejpam-6149	345	30	,	,	PUNCT
ejpam-6149	345	31	0	0	NUM
ejpam-6149	345	32	,	,	PUNCT
ejpam-6149	345	33	0	0	NUM
ejpam-6149	345	34	)	)	PUNCT
ejpam-6149	345	35	at	at	ADP
ejpam-6149	345	36	t	t	PROPN
ejpam-6149	345	37	→	→	SYM
ejpam-6149	345	38	∞	∞	PROPN
ejpam-6149	345	39	whenever	whenever	SCONJ
ejpam-6149	345	40	r0	r0	NOUN
ejpam-6149	345	41	t	t	PROPN
ejpam-6149	345	42	<	<	X
ejpam-6149	345	43	1	1	NUM
ejpam-6149	345	44	.	.	PUNCT
ejpam-6149	345	45	therefore	therefore	ADV
ejpam-6149	345	46	,	,	PUNCT
ejpam-6149	345	47	the	the	DET
ejpam-6149	345	48	tuberculosis	tuberculosis	NOUN
ejpam-6149	345	49	sub	sub	NOUN
ejpam-6149	345	50	-	-	NOUN
ejpam-6149	345	51	model	model	ADJ
ejpam-6149	345	52	(	(	PUNCT
ejpam-6149	345	53	7	7	NUM
ejpam-6149	345	54	)	)	PUNCT
ejpam-6149	345	55	is	be	AUX
ejpam-6149	345	56	globally	globally	ADV
ejpam-6149	345	57	asymptotically	asymptotically	ADV
ejpam-6149	345	58	stable	stable	ADJ
ejpam-6149	345	59	at	at	ADP
ejpam-6149	345	60	the	the	DET
ejpam-6149	345	61	disease	disease	NOUN
ejpam-6149	345	62	-	-	PUNCT
ejpam-6149	345	63	free	free	ADJ
ejpam-6149	345	64	equilibrium	equilibrium	NOUN
ejpam-6149	345	65	point	point	NOUN
ejpam-6149	345	66	e0	e0	PROPN
ejpam-6149	345	67	t	t	PROPN
ejpam-6149	345	68	=	=	SYM
ejpam-6149	345	69	(	(	PUNCT
ejpam-6149	345	70	ωµ	ωµ	ADP
ejpam-6149	345	71	,	,	PUNCT
ejpam-6149	345	72	0	0	NUM
ejpam-6149	345	73	,	,	PUNCT
ejpam-6149	345	74	0	0	NUM
ejpam-6149	345	75	,	,	PUNCT
ejpam-6149	345	76	0	0	NUM
ejpam-6149	345	77	)	)	PUNCT
ejpam-6149	345	78	when	when	SCONJ
ejpam-6149	345	79	r0	r0	NOUN
ejpam-6149	345	80	t	t	PROPN
ejpam-6149	345	81	<	<	X
ejpam-6149	345	82	1	1	NUM
ejpam-6149	345	83	.	.	PUNCT
ejpam-6149	345	84	j.	j.	PROPN
ejpam-6149	345	85	puebla	puebla	PROPN
ejpam-6149	345	86	,	,	PUNCT
ejpam-6149	345	87	jm	jm	PROPN
ejpam-6149	345	88	.	.	PROPN
ejpam-6149	345	89	macalalag	macalalag	PROPN
ejpam-6149	345	90	,	,	PUNCT
ejpam-6149	345	91	k.	k.	PROPN
ejpam-6149	345	92	pajaron	pajaron	PROPN
ejpam-6149	345	93	/	/	SYM
ejpam-6149	345	94	eur	eur	PROPN
ejpam-6149	345	95	.	.	PUNCT
ejpam-6149	346	1	j.	j.	PROPN
ejpam-6149	346	2	pure	pure	PROPN
ejpam-6149	346	3	appl	appl	PROPN
ejpam-6149	346	4	.	.	PROPN
ejpam-6149	346	5	math	math	PROPN
ejpam-6149	346	6	,	,	PUNCT
ejpam-6149	346	7	18	18	NUM
ejpam-6149	346	8	(	(	PUNCT
ejpam-6149	346	9	3	3	NUM
ejpam-6149	346	10	)	)	PUNCT
ejpam-6149	346	11	(	(	PUNCT
ejpam-6149	346	12	2025	2025	NUM
ejpam-6149	346	13	)	)	PUNCT
ejpam-6149	346	14	,	,	PUNCT
ejpam-6149	346	15	6149	6149	NUM
ejpam-6149	346	16	15	15	NUM
ejpam-6149	346	17	of	of	ADP
ejpam-6149	346	18	28	28	NUM
ejpam-6149	346	19	theorem	theorem	NOUN
ejpam-6149	346	20	8	8	NUM
ejpam-6149	346	21	.	.	PUNCT
ejpam-6149	347	1	if	if	SCONJ
ejpam-6149	347	2	r0	r0	PROPN
ejpam-6149	347	3	t	t	PROPN
ejpam-6149	347	4	>	>	X
ejpam-6149	347	5	1	1	NUM
ejpam-6149	347	6	,	,	PUNCT
ejpam-6149	347	7	then	then	ADV
ejpam-6149	347	8	the	the	DET
ejpam-6149	347	9	tuberculosis	tuberculosis	ADJ
ejpam-6149	347	10	sub	sub	NOUN
ejpam-6149	347	11	-	-	NOUN
ejpam-6149	347	12	model	model	ADJ
ejpam-6149	347	13	(	(	PUNCT
ejpam-6149	347	14	7	7	NUM
ejpam-6149	347	15	)	)	PUNCT
ejpam-6149	347	16	is	be	AUX
ejpam-6149	347	17	locally	locally	ADV
ejpam-6149	347	18	asymptotically	asymptotically	ADV
ejpam-6149	347	19	stable	stable	ADJ
ejpam-6149	347	20	at	at	ADP
ejpam-6149	347	21	the	the	DET
ejpam-6149	347	22	endemic	endemic	ADJ
ejpam-6149	347	23	equilibrium	equilibrium	NOUN
ejpam-6149	347	24	point	point	NOUN
ejpam-6149	347	25	e1	e1	PROPN
ejpam-6149	347	26	t	t	NOUN
ejpam-6149	347	27	and	and	CCONJ
ejpam-6149	347	28	unstable	unstable	ADJ
ejpam-6149	347	29	otherwise	otherwise	ADV
ejpam-6149	347	30	.	.	PUNCT
ejpam-6149	348	1	proof	proof	NOUN
ejpam-6149	348	2	.	.	PUNCT
ejpam-6149	349	1	the	the	DET
ejpam-6149	349	2	jacobian	jacobian	ADJ
ejpam-6149	349	3	matrix	matrix	NOUN
ejpam-6149	349	4	of	of	ADP
ejpam-6149	349	5	system	system	NOUN
ejpam-6149	349	6	(	(	PUNCT
ejpam-6149	349	7	7	7	X
ejpam-6149	349	8	)	)	PUNCT
ejpam-6149	349	9	evaluated	evaluate	VERB
ejpam-6149	349	10	at	at	ADP
ejpam-6149	349	11	the	the	DET
ejpam-6149	349	12	endemic	endemic	ADJ
ejpam-6149	349	13	equilibrium	equilibrium	NOUN
ejpam-6149	349	14	point	point	NOUN
ejpam-6149	349	15	e1	e1	PROPN
ejpam-6149	349	16	t	t	PROPN
ejpam-6149	349	17	is	be	AUX
ejpam-6149	349	18	given	give	VERB
ejpam-6149	349	19	by	by	ADP
ejpam-6149	349	20	je1	je1	PROPN
ejpam-6149	349	21	t	t	PROPN
ejpam-6149	349	22	=	=	SYM
ejpam-6149	349	23			PROPN
ejpam-6149	349	24	−(ωβtrt−µb1b2	−(ωβtrt−µb1b2	PROPN
ejpam-6149	349	25	)	)	PUNCT
ejpam-6149	349	26	b1b2	b1b2	VERB
ejpam-6149	349	27	−	−	PROPN
ejpam-6149	349	28	µ	µ	X
ejpam-6149	349	29	0	0	NUM
ejpam-6149	349	30	−b1b2	−b1b2	PROPN
ejpam-6149	349	31	rt	rt	PROPN
ejpam-6149	349	32	0	0	PROPN
ejpam-6149	349	33	ωβtrt−µb1b2	ωβtrt−µb1b2	NUM
ejpam-6149	349	34	b1b2	b1b2	PROPN
ejpam-6149	349	35	−b1	−b1	PROPN
ejpam-6149	349	36	b1b2	b1b2	PROPN
ejpam-6149	349	37	rt	rt	PROPN
ejpam-6149	349	38	0	0	NUM
ejpam-6149	349	39	0	0	NUM
ejpam-6149	350	1	rt	rt	PROPN
ejpam-6149	350	2	−b2	−b2	ADV
ejpam-6149	350	3	0	0	NUM
ejpam-6149	350	4	0	0	NUM
ejpam-6149	350	5	0	0	NUM
ejpam-6149	350	6	δt	δt	ADP
ejpam-6149	350	7	−b3	−b3	PROPN
ejpam-6149	350	8			NOUN
ejpam-6149	350	9	,	,	PUNCT
ejpam-6149	350	10	where	where	SCONJ
ejpam-6149	350	11	b1	b1	NOUN
ejpam-6149	350	12	,	,	PUNCT
ejpam-6149	350	13	b2	b2	NOUN
ejpam-6149	350	14	and	and	CCONJ
ejpam-6149	350	15	b3	b3	PROPN
ejpam-6149	350	16	are	be	AUX
ejpam-6149	350	17	given	give	VERB
ejpam-6149	350	18	in	in	ADP
ejpam-6149	350	19	(	(	PUNCT
ejpam-6149	350	20	8)	8)	NUM
ejpam-6149	350	21	.	.	PUNCT
ejpam-6149	351	1	hence	hence	ADV
ejpam-6149	351	2	,	,	PUNCT
ejpam-6149	351	3	the	the	DET
ejpam-6149	351	4	characteristic	characteristic	ADJ
ejpam-6149	351	5	polynomial	polynomial	NOUN
ejpam-6149	351	6	of	of	ADP
ejpam-6149	351	7	je1	je1	PROPN
ejpam-6149	351	8	t	t	PROPN
ejpam-6149	351	9	is	be	AUX
ejpam-6149	351	10	je1	je1	PROPN
ejpam-6149	351	11	t	t	PROPN
ejpam-6149	351	12	(	(	PUNCT
ejpam-6149	351	13	λ	λ	NOUN
ejpam-6149	351	14	)	)	PUNCT
ejpam-6149	351	15	=	=	SYM
ejpam-6149	351	16	(	(	PUNCT
ejpam-6149	351	17	−b3	−b3	PROPN
ejpam-6149	351	18	−	−	PROPN
ejpam-6149	351	19	λ	λ	PROPN
ejpam-6149	351	20	)	)	PUNCT
ejpam-6149	351	21	(	(	PUNCT
ejpam-6149	351	22	−λ3	−λ3	NOUN
ejpam-6149	351	23	+	+	CCONJ
ejpam-6149	351	24	(	(	PUNCT
ejpam-6149	351	25	−b2	−b2	PROPN
ejpam-6149	351	26	1b2	1b2	NUM
ejpam-6149	351	27	−b1b	−b1b	NUM
ejpam-6149	351	28	2	2	NUM
ejpam-6149	351	29	2	2	NUM
ejpam-6149	351	30	−	−	NOUN
ejpam-6149	351	31	βtωrt)λ	βtωrt)λ	SYM
ejpam-6149	351	32	2	2	NUM
ejpam-6149	351	33	b1b2	b1b2	ADP
ejpam-6149	351	34	+	+	CCONJ
ejpam-6149	351	35	(	(	PUNCT
ejpam-6149	351	36	−b1βtωrt	−b1βtωrt	ADP
ejpam-6149	351	37	−b2βtωrt)λ	−b2βtωrt)λ	NOUN
ejpam-6149	351	38	b1b2	b1b2	X
ejpam-6149	351	39	+	+	CCONJ
ejpam-6149	351	40	(	(	PUNCT
ejpam-6149	351	41	b2	b2	NOUN
ejpam-6149	351	42	1b	1b	NUM
ejpam-6149	351	43	2	2	NUM
ejpam-6149	351	44	2µ−b1b2βtωrt	2µ−b1b2βtωrt	NUM
ejpam-6149	351	45	)	)	PUNCT
ejpam-6149	351	46	b1b2	b1b2	X
ejpam-6149	351	47	)	)	PUNCT
ejpam-6149	351	48	certainly	certainly	ADV
ejpam-6149	351	49	,	,	PUNCT
ejpam-6149	351	50	the	the	DET
ejpam-6149	351	51	eigenvalue	eigenvalue	PROPN
ejpam-6149	351	52	λ	λ	NOUN
ejpam-6149	351	53	=	=	SYM
ejpam-6149	351	54	−b3	−b3	PROPN
ejpam-6149	351	55	<	<	X
ejpam-6149	351	56	0	0	NUM
ejpam-6149	351	57	.	.	PUNCT
ejpam-6149	352	1	the	the	DET
ejpam-6149	352	2	other	other	ADJ
ejpam-6149	352	3	eigenvalues	eigenvalue	NOUN
ejpam-6149	352	4	are	be	AUX
ejpam-6149	352	5	determined	determine	VERB
ejpam-6149	352	6	by	by	ADP
ejpam-6149	352	7	the	the	DET
ejpam-6149	352	8	cubic	cubic	ADJ
ejpam-6149	352	9	polynomial	polynomial	ADJ
ejpam-6149	352	10	factor	factor	NOUN
ejpam-6149	352	11	.	.	PUNCT
ejpam-6149	353	1	set	set	VERB
ejpam-6149	353	2	the	the	DET
ejpam-6149	353	3	coefficients	coefficient	NOUN
ejpam-6149	353	4	and	and	CCONJ
ejpam-6149	353	5	constant	constant	ADJ
ejpam-6149	353	6	term	term	NOUN
ejpam-6149	353	7	of	of	ADP
ejpam-6149	353	8	the	the	DET
ejpam-6149	353	9	cubic	cubic	ADJ
ejpam-6149	353	10	polynomial	polynomial	NOUN
ejpam-6149	353	11	as	as	SCONJ
ejpam-6149	353	12	follows	follow	VERB
ejpam-6149	353	13	:	:	PUNCT
ejpam-6149	353	14	b1	b1	NOUN
ejpam-6149	353	15	as	as	ADP
ejpam-6149	353	16	the	the	DET
ejpam-6149	353	17	coefficient	coefficient	NOUN
ejpam-6149	353	18	of	of	ADP
ejpam-6149	353	19	λ2	λ2	NOUN
ejpam-6149	353	20	,	,	PUNCT
ejpam-6149	353	21	b2	b2	NOUN
ejpam-6149	353	22	as	as	ADP
ejpam-6149	353	23	the	the	DET
ejpam-6149	353	24	coefficient	coefficient	NOUN
ejpam-6149	353	25	of	of	ADP
ejpam-6149	353	26	λ	λ	PROPN
ejpam-6149	353	27	and	and	CCONJ
ejpam-6149	353	28	b3	b3	PROPN
ejpam-6149	353	29	as	as	ADP
ejpam-6149	353	30	the	the	DET
ejpam-6149	353	31	constant	constant	ADJ
ejpam-6149	353	32	term	term	NOUN
ejpam-6149	353	33	.	.	PUNCT
ejpam-6149	354	1	by	by	ADP
ejpam-6149	354	2	routh	routh	PROPN
ejpam-6149	354	3	hurwitz	hurwitz	PROPN
ejpam-6149	354	4	criterion	criterion	NOUN
ejpam-6149	354	5	,	,	PUNCT
ejpam-6149	354	6	the	the	DET
ejpam-6149	354	7	eigenvalues	eigenvalue	NOUN
ejpam-6149	354	8	of	of	ADP
ejpam-6149	354	9	the	the	DET
ejpam-6149	354	10	cubic	cubic	ADJ
ejpam-6149	354	11	polynomial	polynomial	NOUN
ejpam-6149	354	12	have	have	VERB
ejpam-6149	354	13	negative	negative	ADJ
ejpam-6149	354	14	real	real	ADJ
ejpam-6149	354	15	parts	part	NOUN
ejpam-6149	354	16	when	when	SCONJ
ejpam-6149	354	17	the	the	DET
ejpam-6149	354	18	following	follow	VERB
ejpam-6149	354	19	conditions	condition	NOUN
ejpam-6149	354	20	are	be	AUX
ejpam-6149	354	21	satisfied	satisfied	ADJ
ejpam-6149	354	22	:	:	PUNCT
ejpam-6149	354	23	b1	b1	NOUN
ejpam-6149	354	24	,	,	PUNCT
ejpam-6149	354	25	b2	b2	NOUN
ejpam-6149	354	26	,	,	PUNCT
ejpam-6149	354	27	and	and	CCONJ
ejpam-6149	354	28	b3	b3	PROPN
ejpam-6149	354	29	are	be	AUX
ejpam-6149	354	30	all	all	ADV
ejpam-6149	354	31	positive	positive	ADJ
ejpam-6149	354	32	and	and	CCONJ
ejpam-6149	354	33	b1b2	b1b2	PROPN
ejpam-6149	354	34	>	>	X
ejpam-6149	354	35	b3	b3	PROPN
ejpam-6149	354	36	.	.	PUNCT
ejpam-6149	355	1	now	now	ADV
ejpam-6149	355	2	,	,	PUNCT
ejpam-6149	355	3	b1	b1	NOUN
ejpam-6149	355	4	,	,	PUNCT
ejpam-6149	355	5	b2	b2	NOUN
ejpam-6149	355	6	,	,	PUNCT
ejpam-6149	355	7	and	and	CCONJ
ejpam-6149	355	8	b3	b3	PROPN
ejpam-6149	355	9	can	can	AUX
ejpam-6149	355	10	be	be	AUX
ejpam-6149	355	11	express	express	ADJ
ejpam-6149	355	12	as	as	ADP
ejpam-6149	355	13	b1	b1	NOUN
ejpam-6149	355	14	=	=	SYM
ejpam-6149	355	15	−	−	PROPN
ejpam-6149	356	1	(	(	PUNCT
ejpam-6149	356	2	−b2	−b2	PROPN
ejpam-6149	356	3	1b2	1b2	NUM
ejpam-6149	356	4	−b1b	−b1b	NUM
ejpam-6149	356	5	2	2	NUM
ejpam-6149	356	6	2	2	NUM
ejpam-6149	356	7	−	−	NOUN
ejpam-6149	356	8	βtωrt	βtωrt	NOUN
ejpam-6149	356	9	)	)	PUNCT
ejpam-6149	356	10	b1b2	b1b2	PROPN
ejpam-6149	356	11	=	=	SYM
ejpam-6149	356	12	b2	b2	NOUN
ejpam-6149	356	13	1b2	1b2	NUM
ejpam-6149	356	14	+	+	ADJ
ejpam-6149	356	15	b1b	b1b	ADJ
ejpam-6149	356	16	2	2	NUM
ejpam-6149	356	17	2	2	NUM
ejpam-6149	356	18	+	+	CCONJ
ejpam-6149	356	19	βtωrt	βtωrt	NOUN
ejpam-6149	356	20	b1b2	b1b2	PROPN
ejpam-6149	356	21	>	>	SYM
ejpam-6149	356	22	0	0	NUM
ejpam-6149	356	23	b2	b2	NOUN
ejpam-6149	356	24	=	=	SYM
ejpam-6149	356	25	−	−	PROPN
ejpam-6149	356	26	(	(	PUNCT
ejpam-6149	356	27	−b1βtωrt	−b1βtωrt	ADP
ejpam-6149	356	28	−b2βtωrt	−b2βtωrt	NOUN
ejpam-6149	356	29	)	)	PUNCT
ejpam-6149	356	30	b1b2	b1b2	NOUN
ejpam-6149	356	31	=	=	PUNCT
ejpam-6149	356	32	b1βtωrt	b1βtωrt	NOUN
ejpam-6149	357	1	+	+	NUM
ejpam-6149	357	2	b2βtωrt	b2βtωrt	NOUN
ejpam-6149	357	3	b1b2	b1b2	PROPN
ejpam-6149	357	4	>	>	SYM
ejpam-6149	357	5	0	0	NUM
ejpam-6149	357	6	b3	b3	PROPN
ejpam-6149	357	7	=	=	SYM
ejpam-6149	357	8	βtωrt	βtωrt	PROPN
ejpam-6149	357	9	−b1b2µ	−b1b2µ	PROPN
ejpam-6149	357	10	=	=	SYM
ejpam-6149	357	11	b1b2µ	b1b2µ	PUNCT
ejpam-6149	357	12	(	(	PUNCT
ejpam-6149	357	13	βtωrt	βtωrt	PROPN
ejpam-6149	357	14	b1b2µ	b1b2µ	PUNCT
ejpam-6149	358	1	−	−	PROPN
ejpam-6149	358	2	1	1	X
ejpam-6149	358	3	)	)	PUNCT
ejpam-6149	358	4	=	=	PUNCT
ejpam-6149	359	1	b1b2µ(r0	b1b2µ(r0	ADP
ejpam-6149	359	2	t	t	PROPN
ejpam-6149	359	3	−	−	PROPN
ejpam-6149	359	4	1	1	NUM
ejpam-6149	359	5	)	)	PUNCT
ejpam-6149	359	6	hence	hence	ADV
ejpam-6149	359	7	,	,	PUNCT
ejpam-6149	359	8	the	the	DET
ejpam-6149	359	9	tuberculosis	tuberculosis	NOUN
ejpam-6149	359	10	sub	sub	NOUN
ejpam-6149	359	11	-	-	NOUN
ejpam-6149	359	12	model	model	ADJ
ejpam-6149	359	13	(	(	PUNCT
ejpam-6149	359	14	7	7	NUM
ejpam-6149	359	15	)	)	PUNCT
ejpam-6149	359	16	is	be	AUX
ejpam-6149	359	17	locally	locally	ADV
ejpam-6149	359	18	asymptotically	asymptotically	ADV
ejpam-6149	359	19	stable	stable	ADJ
ejpam-6149	359	20	at	at	ADP
ejpam-6149	359	21	the	the	DET
ejpam-6149	359	22	endemic	endemic	ADJ
ejpam-6149	359	23	equilibrium	equilibrium	NOUN
ejpam-6149	359	24	point	point	NOUN
ejpam-6149	359	25	e1	e1	PROPN
ejpam-6149	359	26	t	t	NOUN
ejpam-6149	359	27	when	when	SCONJ
ejpam-6149	359	28	r0	r0	NOUN
ejpam-6149	359	29	t	t	PROPN
ejpam-6149	359	30	>	>	X
ejpam-6149	359	31	1	1	NUM
ejpam-6149	359	32	and	and	CCONJ
ejpam-6149	359	33	unstable	unstable	ADJ
ejpam-6149	359	34	otherwise	otherwise	ADV
ejpam-6149	359	35	.	.	PUNCT
ejpam-6149	360	1	3.6	3.6	NUM
ejpam-6149	360	2	.	.	PUNCT
ejpam-6149	361	1	sensitivity	sensitivity	NOUN
ejpam-6149	361	2	analysis	analysis	NOUN
ejpam-6149	361	3	of	of	ADP
ejpam-6149	361	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	361	5	sub	sub	NOUN
ejpam-6149	361	6	-	-	NOUN
ejpam-6149	361	7	model	model	NOUN
ejpam-6149	361	8	in	in	ADP
ejpam-6149	361	9	this	this	DET
ejpam-6149	361	10	subsection	subsection	NOUN
ejpam-6149	361	11	,	,	PUNCT
ejpam-6149	361	12	we	we	PRON
ejpam-6149	361	13	conducted	conduct	VERB
ejpam-6149	361	14	a	a	DET
ejpam-6149	361	15	sensitivity	sensitivity	NOUN
ejpam-6149	361	16	analysis	analysis	NOUN
ejpam-6149	361	17	of	of	ADP
ejpam-6149	361	18	the	the	DET
ejpam-6149	361	19	parameters	parameter	NOUN
ejpam-6149	361	20	in	in	ADP
ejpam-6149	361	21	the	the	DET
ejpam-6149	361	22	tuberculosis	tuberculosis	NOUN
ejpam-6149	361	23	sub	sub	NOUN
ejpam-6149	361	24	-	-	NOUN
ejpam-6149	361	25	model	model	NOUN
ejpam-6149	361	26	.	.	PUNCT
ejpam-6149	362	1	for	for	ADP
ejpam-6149	362	2	a	a	DET
ejpam-6149	362	3	parameter	parameter	NOUN
ejpam-6149	362	4	p	p	NOUN
ejpam-6149	362	5	,	,	PUNCT
ejpam-6149	362	6	the	the	DET
ejpam-6149	362	7	sensitivity	sensitivity	NOUN
ejpam-6149	362	8	of	of	ADP
ejpam-6149	362	9	p	p	NOUN
ejpam-6149	362	10	is	be	AUX
ejpam-6149	362	11	defined	define	VERB
ejpam-6149	362	12	as	as	ADP
ejpam-6149	362	13	the	the	DET
ejpam-6149	362	14	behavior	behavior	NOUN
ejpam-6149	362	15	of	of	ADP
ejpam-6149	362	16	the	the	DET
ejpam-6149	362	17	model	model	NOUN
ejpam-6149	362	18	to	to	ADP
ejpam-6149	362	19	a	a	DET
ejpam-6149	362	20	small	small	ADJ
ejpam-6149	362	21	change	change	NOUN
ejpam-6149	362	22	in	in	ADP
ejpam-6149	362	23	its	its	PRON
ejpam-6149	362	24	value	value	NOUN
ejpam-6149	362	25	[	[	X
ejpam-6149	362	26	22	22	NUM
ejpam-6149	362	27	]	]	PUNCT
ejpam-6149	362	28	,	,	PUNCT
ejpam-6149	362	29	and	and	CCONJ
ejpam-6149	362	30	is	be	AUX
ejpam-6149	362	31	given	give	VERB
ejpam-6149	362	32	by	by	ADP
ejpam-6149	362	33	:	:	PUNCT
ejpam-6149	362	34	sp	sp	ADP
ejpam-6149	362	35	=	=	PUNCT
ejpam-6149	363	1	∂r0	∂r0	PROPN
ejpam-6149	363	2	t	t	PROPN
ejpam-6149	363	3	∂p	∂p	PROPN
ejpam-6149	363	4	×	×	PROPN
ejpam-6149	363	5	p	p	PROPN
ejpam-6149	363	6	r0	r0	NOUN
ejpam-6149	363	7	t	t	PROPN
ejpam-6149	363	8	where	where	SCONJ
ejpam-6149	363	9	r0	r0	NOUN
ejpam-6149	363	10	t	t	PROPN
ejpam-6149	363	11	=	=	SYM
ejpam-6149	363	12	βtωrt	βtωrt	PROPN
ejpam-6149	363	13	µ(rt	µ(rt	PROPN
ejpam-6149	363	14	+	+	CCONJ
ejpam-6149	363	15	µ)(δt	µ)(δt	PROPN
ejpam-6149	363	16	+	+	CCONJ
ejpam-6149	363	17	µ+	µ+	PROPN
ejpam-6149	363	18	µ2	µ2	PROPN
ejpam-6149	363	19	)	)	PUNCT
ejpam-6149	363	20	(	(	PUNCT
ejpam-6149	363	21	9	9	X
ejpam-6149	363	22	)	)	PUNCT
ejpam-6149	363	23	the	the	DET
ejpam-6149	363	24	sensitivity	sensitivity	NOUN
ejpam-6149	363	25	indices	indice	VERB
ejpam-6149	363	26	for	for	ADP
ejpam-6149	363	27	each	each	DET
ejpam-6149	363	28	parameter	parameter	NOUN
ejpam-6149	363	29	in	in	ADP
ejpam-6149	363	30	the	the	DET
ejpam-6149	363	31	tuberculosis	tuberculosis	NOUN
ejpam-6149	363	32	sub	sub	NOUN
ejpam-6149	363	33	-	-	NOUN
ejpam-6149	363	34	model	model	ADJ
ejpam-6149	363	35	(	(	PUNCT
ejpam-6149	363	36	7	7	NUM
ejpam-6149	363	37	)	)	PUNCT
ejpam-6149	363	38	with	with	ADP
ejpam-6149	363	39	respect	respect	NOUN
ejpam-6149	363	40	to	to	ADP
ejpam-6149	363	41	r0	r0	NOUN
ejpam-6149	363	42	t	t	PROPN
ejpam-6149	363	43	is	be	AUX
ejpam-6149	363	44	computed	compute	VERB
ejpam-6149	363	45	by	by	ADP
ejpam-6149	363	46	using	use	VERB
ejpam-6149	363	47	the	the	DET
ejpam-6149	363	48	equation	equation	NOUN
ejpam-6149	363	49	(	(	PUNCT
ejpam-6149	363	50	9	9	NUM
ejpam-6149	363	51	)	)	PUNCT
ejpam-6149	363	52	,	,	PUNCT
ejpam-6149	363	53	and	and	CCONJ
ejpam-6149	363	54	the	the	DET
ejpam-6149	363	55	corresponding	corresponding	ADJ
ejpam-6149	363	56	sensitivity	sensitivity	NOUN
ejpam-6149	363	57	indices	index	NOUN
ejpam-6149	363	58	are	be	AUX
ejpam-6149	363	59	shown	show	VERB
ejpam-6149	363	60	in	in	ADP
ejpam-6149	363	61	figure	figure	NOUN
ejpam-6149	363	62	3	3	NUM
ejpam-6149	363	63	.	.	PUNCT
ejpam-6149	364	1	the	the	DET
ejpam-6149	364	2	sensitivity	sensitivity	NOUN
ejpam-6149	364	3	analysis	analysis	NOUN
ejpam-6149	364	4	of	of	ADP
ejpam-6149	364	5	the	the	DET
ejpam-6149	364	6	tuberculosis	tuberculosis	NOUN
ejpam-6149	364	7	sub	sub	NOUN
ejpam-6149	364	8	-	-	NOUN
ejpam-6149	364	9	model	model	NOUN
ejpam-6149	364	10	revealed	reveal	VERB
ejpam-6149	364	11	that	that	SCONJ
ejpam-6149	364	12	the	the	DET
ejpam-6149	364	13	tuberculosis	tuberculosis	NOUN
ejpam-6149	364	14	transmission	transmission	NOUN
ejpam-6149	364	15	rate	rate	NOUN
ejpam-6149	364	16	βt	βt	NOUN
ejpam-6149	364	17	,	,	PUNCT
ejpam-6149	364	18	and	and	CCONJ
ejpam-6149	364	19	the	the	DET
ejpam-6149	364	20	recruitment	recruitment	NOUN
ejpam-6149	364	21	rate	rate	NOUN
ejpam-6149	364	22	ω	ω	PROPN
ejpam-6149	364	23	have	have	VERB
ejpam-6149	364	24	a	a	DET
ejpam-6149	364	25	high	high	ADJ
ejpam-6149	364	26	positive	positive	ADJ
ejpam-6149	364	27	impact	impact	NOUN
ejpam-6149	364	28	on	on	ADP
ejpam-6149	364	29	the	the	DET
ejpam-6149	364	30	spread	spread	NOUN
ejpam-6149	364	31	of	of	ADP
ejpam-6149	364	32	the	the	DET
ejpam-6149	364	33	virus	virus	NOUN
ejpam-6149	364	34	.	.	PUNCT
ejpam-6149	365	1	the	the	DET
ejpam-6149	365	2	analysis	analysis	NOUN
ejpam-6149	365	3	suggests	suggest	VERB
ejpam-6149	365	4	that	that	SCONJ
ejpam-6149	365	5	the	the	DET
ejpam-6149	365	6	magnitude	magnitude	NOUN
ejpam-6149	365	7	of	of	ADP
ejpam-6149	365	8	the	the	DET
ejpam-6149	365	9	impacts	impact	NOUN
ejpam-6149	365	10	of	of	ADP
ejpam-6149	365	11	βt	βt	NOUN
ejpam-6149	365	12	and	and	CCONJ
ejpam-6149	365	13	ω	ω	NUM
ejpam-6149	365	14	on	on	ADP
ejpam-6149	365	15	the	the	DET
ejpam-6149	365	16	spread	spread	NOUN
ejpam-6149	365	17	of	of	ADP
ejpam-6149	365	18	covid-19	covid-19	PROPN
ejpam-6149	365	19	are	be	AUX
ejpam-6149	365	20	the	the	DET
ejpam-6149	365	21	same	same	ADJ
ejpam-6149	365	22	because	because	SCONJ
ejpam-6149	365	23	the	the	DET
ejpam-6149	365	24	number	number	NOUN
ejpam-6149	365	25	of	of	ADP
ejpam-6149	365	26	secondary	secondary	ADJ
ejpam-6149	365	27	infections	infection	NOUN
ejpam-6149	365	28	increases	increase	VERB
ejpam-6149	365	29	when	when	SCONJ
ejpam-6149	365	30	the	the	DET
ejpam-6149	365	31	value	value	NOUN
ejpam-6149	365	32	of	of	ADP
ejpam-6149	365	33	these	these	DET
ejpam-6149	365	34	parameters	parameter	NOUN
ejpam-6149	365	35	also	also	ADV
ejpam-6149	365	36	increases	increase	VERB
ejpam-6149	365	37	[	[	X
ejpam-6149	365	38	22	22	NUM
ejpam-6149	365	39	]	]	PUNCT
ejpam-6149	365	40	.	.	PUNCT
ejpam-6149	366	1	also	also	ADV
ejpam-6149	366	2	,	,	PUNCT
ejpam-6149	366	3	the	the	DET
ejpam-6149	366	4	progression	progression	NOUN
ejpam-6149	366	5	rate	rate	NOUN
ejpam-6149	366	6	of	of	ADP
ejpam-6149	366	7	tuberculosis	tuberculosis	NOUN
ejpam-6149	366	8	from	from	ADP
ejpam-6149	366	9	asymptomatic	asymptomatic	ADJ
ejpam-6149	366	10	to	to	ADP
ejpam-6149	366	11	symptomatic	symptomatic	ADJ
ejpam-6149	366	12	rt	rt	PROPN
ejpam-6149	366	13	has	have	VERB
ejpam-6149	366	14	a	a	DET
ejpam-6149	366	15	positive	positive	ADJ
ejpam-6149	366	16	impact	impact	NOUN
ejpam-6149	366	17	on	on	ADP
ejpam-6149	366	18	the	the	DET
ejpam-6149	366	19	spread	spread	NOUN
ejpam-6149	366	20	of	of	ADP
ejpam-6149	366	21	covid-19	covid-19	PROPN
ejpam-6149	366	22	virus	virus	NOUN
ejpam-6149	366	23	.	.	PUNCT
ejpam-6149	367	1	in	in	ADP
ejpam-6149	367	2	contrast	contrast	NOUN
ejpam-6149	367	3	,	,	PUNCT
ejpam-6149	367	4	the	the	DET
ejpam-6149	367	5	parameters	parameter	NOUN
ejpam-6149	367	6	δt	δt	PROPN
ejpam-6149	367	7	,	,	PUNCT
ejpam-6149	367	8	µ	µ	NOUN
ejpam-6149	367	9	,	,	PUNCT
ejpam-6149	367	10	and	and	CCONJ
ejpam-6149	367	11	µ2	µ2	PROPN
ejpam-6149	367	12	have	have	VERB
ejpam-6149	367	13	a	a	DET
ejpam-6149	367	14	negative	negative	ADJ
ejpam-6149	367	15	impact	impact	NOUN
ejpam-6149	367	16	,	,	PUNCT
ejpam-6149	367	17	which	which	PRON
ejpam-6149	367	18	means	mean	VERB
ejpam-6149	367	19	that	that	SCONJ
ejpam-6149	367	20	increasing	increase	VERB
ejpam-6149	367	21	the	the	DET
ejpam-6149	367	22	value	value	NOUN
ejpam-6149	367	23	of	of	ADP
ejpam-6149	367	24	such	such	ADJ
ejpam-6149	367	25	parameters	parameter	NOUN
ejpam-6149	367	26	will	will	AUX
ejpam-6149	367	27	decrease	decrease	VERB
ejpam-6149	367	28	the	the	DET
ejpam-6149	367	29	number	number	NOUN
ejpam-6149	367	30	of	of	ADP
ejpam-6149	367	31	people	people	NOUN
ejpam-6149	367	32	infected	infect	VERB
ejpam-6149	367	33	with	with	ADP
ejpam-6149	367	34	tuberculosis	tuberculosis	NOUN
ejpam-6149	367	35	.	.	PUNCT
ejpam-6149	368	1	j.	j.	PROPN
ejpam-6149	368	2	puebla	puebla	PROPN
ejpam-6149	368	3	,	,	PUNCT
ejpam-6149	368	4	jm	jm	PROPN
ejpam-6149	368	5	.	.	PROPN
ejpam-6149	368	6	macalalag	macalalag	PROPN
ejpam-6149	368	7	,	,	PUNCT
ejpam-6149	368	8	k.	k.	PROPN
ejpam-6149	368	9	pajaron	pajaron	PROPN
ejpam-6149	368	10	/	/	SYM
ejpam-6149	368	11	eur	eur	PROPN
ejpam-6149	368	12	.	.	PUNCT
ejpam-6149	369	1	j.	j.	PROPN
ejpam-6149	369	2	pure	pure	PROPN
ejpam-6149	369	3	appl	appl	PROPN
ejpam-6149	369	4	.	.	PROPN
ejpam-6149	369	5	math	math	PROPN
ejpam-6149	369	6	,	,	PUNCT
ejpam-6149	369	7	18	18	NUM
ejpam-6149	369	8	(	(	PUNCT
ejpam-6149	369	9	3	3	NUM
ejpam-6149	369	10	)	)	PUNCT
ejpam-6149	369	11	(	(	PUNCT
ejpam-6149	369	12	2025	2025	NUM
ejpam-6149	369	13	)	)	PUNCT
ejpam-6149	369	14	,	,	PUNCT
ejpam-6149	369	15	6149	6149	NUM
ejpam-6149	369	16	16	16	NUM
ejpam-6149	369	17	of	of	ADP
ejpam-6149	369	18	28	28	NUM
ejpam-6149	369	19	figure	figure	NOUN
ejpam-6149	369	20	3	3	NUM
ejpam-6149	369	21	:	:	PUNCT
ejpam-6149	369	22	sensitivity	sensitivity	NOUN
ejpam-6149	369	23	indices	index	NOUN
ejpam-6149	369	24	of	of	ADP
ejpam-6149	369	25	the	the	DET
ejpam-6149	369	26	tuberculosis	tuberculosis	NOUN
ejpam-6149	369	27	sub	sub	ADJ
ejpam-6149	369	28	-	-	ADJ
ejpam-6149	369	29	model	model	ADJ
ejpam-6149	369	30	parameters	parameter	NOUN
ejpam-6149	369	31	3.7	3.7	NUM
ejpam-6149	369	32	.	.	PUNCT
ejpam-6149	370	1	covid-19	covid-19	PROPN
ejpam-6149	370	2	and	and	CCONJ
ejpam-6149	370	3	tuberculosis	tuberculosis	PRON
ejpam-6149	370	4	co	co	NOUN
ejpam-6149	370	5	-	-	NOUN
ejpam-6149	370	6	infection	infection	ADJ
ejpam-6149	370	7	model	model	NOUN
ejpam-6149	370	8	in	in	ADP
ejpam-6149	370	9	this	this	DET
ejpam-6149	370	10	subsection	subsection	NOUN
ejpam-6149	370	11	,	,	PUNCT
ejpam-6149	370	12	we	we	PRON
ejpam-6149	370	13	examine	examine	VERB
ejpam-6149	370	14	the	the	DET
ejpam-6149	370	15	transmission	transmission	NOUN
ejpam-6149	370	16	dynamics	dynamic	NOUN
ejpam-6149	370	17	of	of	ADP
ejpam-6149	370	18	the	the	DET
ejpam-6149	370	19	co	co	NOUN
ejpam-6149	370	20	-	-	ADJ
ejpam-6149	370	21	infection	infection	NOUN
ejpam-6149	370	22	model	model	NOUN
ejpam-6149	370	23	for	for	ADP
ejpam-6149	370	24	covid19	covid19	NOUN
ejpam-6149	370	25	and	and	CCONJ
ejpam-6149	370	26	tuberculosis	tuberculosis	NOUN
ejpam-6149	370	27	which	which	PRON
ejpam-6149	370	28	is	be	AUX
ejpam-6149	370	29	described	describe	VERB
ejpam-6149	370	30	by	by	ADP
ejpam-6149	370	31	system	system	NOUN
ejpam-6149	370	32	(	(	PUNCT
ejpam-6149	370	33	1	1	NUM
ejpam-6149	370	34	)	)	PUNCT
ejpam-6149	370	35	.	.	PUNCT
ejpam-6149	371	1	when	when	SCONJ
ejpam-6149	371	2	the	the	DET
ejpam-6149	371	3	environment	environment	NOUN
ejpam-6149	371	4	is	be	AUX
ejpam-6149	371	5	free	free	ADJ
ejpam-6149	371	6	from	from	ADP
ejpam-6149	371	7	both	both	DET
ejpam-6149	371	8	diseases	disease	NOUN
ejpam-6149	371	9	,	,	PUNCT
ejpam-6149	371	10	the	the	DET
ejpam-6149	371	11	system	system	NOUN
ejpam-6149	371	12	reaches	reach	VERB
ejpam-6149	371	13	the	the	DET
ejpam-6149	371	14	disease	disease	NOUN
ejpam-6149	371	15	-	-	PUNCT
ejpam-6149	371	16	free	free	ADJ
ejpam-6149	371	17	equilibrium	equilibrium	NOUN
ejpam-6149	371	18	e0ct	e0ct	NOUN
ejpam-6149	371	19	and	and	CCONJ
ejpam-6149	371	20	is	be	AUX
ejpam-6149	371	21	given	give	VERB
ejpam-6149	371	22	by	by	ADP
ejpam-6149	371	23	e0ct	e0ct	X
ejpam-6149	371	24	=	=	SYM
ejpam-6149	371	25	(	(	PUNCT
ejpam-6149	371	26	s	s	PROPN
ejpam-6149	371	27	,	,	PUNCT
ejpam-6149	371	28	ec	ec	PROPN
ejpam-6149	371	29	,	,	PUNCT
ejpam-6149	371	30	ic	ic	PROPN
ejpam-6149	371	31	,	,	PUNCT
ejpam-6149	371	32	qc	qc	PROPN
ejpam-6149	371	33	,	,	PUNCT
ejpam-6149	371	34	ect	ect	PROPN
ejpam-6149	371	35	,	,	PUNCT
ejpam-6149	371	36	ict	ict	PROPN
ejpam-6149	371	37	,	,	PUNCT
ejpam-6149	371	38	qct	qct	PROPN
ejpam-6149	371	39	,	,	PUNCT
ejpam-6149	371	40	et	et	PROPN
ejpam-6149	371	41	,	,	PUNCT
ejpam-6149	371	42	it	it	PRON
ejpam-6149	371	43	,	,	PUNCT
ejpam-6149	371	44	qt	qt	NOUN
ejpam-6149	371	45	)	)	PUNCT
ejpam-6149	371	46	=	=	SYM
ejpam-6149	372	1	(	(	PUNCT
ejpam-6149	372	2	ω	ω	NOUN
ejpam-6149	372	3	µ	µ	X
ejpam-6149	372	4	,	,	PUNCT
ejpam-6149	372	5	0	0	NUM
ejpam-6149	372	6	,	,	PUNCT
ejpam-6149	372	7	0	0	NUM
ejpam-6149	372	8	,	,	PUNCT
ejpam-6149	372	9	0	0	NUM
ejpam-6149	372	10	,	,	PUNCT
ejpam-6149	372	11	0	0	NUM
ejpam-6149	372	12	,	,	PUNCT
ejpam-6149	372	13	0	0	NUM
ejpam-6149	372	14	,	,	PUNCT
ejpam-6149	372	15	0	0	NUM
ejpam-6149	372	16	,	,	PUNCT
ejpam-6149	372	17	0	0	NUM
ejpam-6149	372	18	,	,	PUNCT
ejpam-6149	372	19	0	0	NUM
ejpam-6149	372	20	,	,	PUNCT
ejpam-6149	372	21	0	0	NUM
ejpam-6149	372	22	)	)	PUNCT
ejpam-6149	372	23	.	.	PUNCT
ejpam-6149	373	1	the	the	DET
ejpam-6149	373	2	basic	basic	ADJ
ejpam-6149	373	3	reproduction	reproduction	NOUN
ejpam-6149	373	4	number	number	NOUN
ejpam-6149	373	5	of	of	ADP
ejpam-6149	373	6	the	the	DET
ejpam-6149	373	7	co	co	NOUN
ejpam-6149	373	8	-	-	NOUN
ejpam-6149	373	9	infection	infection	ADJ
ejpam-6149	373	10	model	model	NOUN
ejpam-6149	373	11	is	be	AUX
ejpam-6149	373	12	governed	govern	VERB
ejpam-6149	373	13	by	by	ADP
ejpam-6149	373	14	the	the	DET
ejpam-6149	373	15	covid-19	covid-19	PROPN
ejpam-6149	373	16	and	and	CCONJ
ejpam-6149	373	17	tuberculosis	tuberculosis	PRON
ejpam-6149	373	18	sub	sub	NOUN
ejpam-6149	373	19	-	-	NOUN
ejpam-6149	373	20	models	model	NOUN
ejpam-6149	373	21	,	,	PUNCT
ejpam-6149	373	22	with	with	ADP
ejpam-6149	373	23	the	the	DET
ejpam-6149	373	24	dominant	dominant	ADJ
ejpam-6149	373	25	value	value	NOUN
ejpam-6149	373	26	determining	determine	VERB
ejpam-6149	373	27	the	the	DET
ejpam-6149	373	28	overall	overall	ADJ
ejpam-6149	373	29	transmission	transmission	NOUN
ejpam-6149	373	30	dynamics	dynamic	NOUN
ejpam-6149	373	31	.	.	PUNCT
ejpam-6149	374	1	utilizing	utilize	VERB
ejpam-6149	374	2	the	the	DET
ejpam-6149	374	3	next	next	ADJ
ejpam-6149	374	4	generation	generation	NOUN
ejpam-6149	374	5	matrix	matrix	NOUN
ejpam-6149	374	6	(	(	PUNCT
ejpam-6149	374	7	ngm	ngm	NOUN
ejpam-6149	374	8	)	)	PUNCT
ejpam-6149	374	9	approach	approach	NOUN
ejpam-6149	374	10	,	,	PUNCT
ejpam-6149	374	11	we	we	PRON
ejpam-6149	374	12	compute	compute	VERB
ejpam-6149	374	13	the	the	DET
ejpam-6149	374	14	basic	basic	ADJ
ejpam-6149	374	15	reproduction	reproduction	NOUN
ejpam-6149	374	16	number	number	NOUN
ejpam-6149	374	17	of	of	ADP
ejpam-6149	374	18	the	the	DET
ejpam-6149	374	19	co	co	NOUN
ejpam-6149	374	20	-	-	NOUN
ejpam-6149	374	21	infection	infection	NOUN
ejpam-6149	374	22	model	model	NOUN
ejpam-6149	374	23	,	,	PUNCT
ejpam-6149	374	24	where	where	SCONJ
ejpam-6149	374	25	the	the	DET
ejpam-6149	374	26	transmission	transmission	NOUN
ejpam-6149	374	27	matrix	matrix	NOUN
ejpam-6149	374	28	f	f	NOUN
ejpam-6149	374	29	and	and	CCONJ
ejpam-6149	374	30	transition	transition	NOUN
ejpam-6149	374	31	matrix	matrix	NOUN
ejpam-6149	374	32	v	v	NOUN
ejpam-6149	374	33	are	be	AUX
ejpam-6149	374	34	given	give	VERB
ejpam-6149	374	35	by	by	ADP
ejpam-6149	374	36	f	f	NOUN
ejpam-6149	374	37	=	=	PRON
ejpam-6149	374	38			NOUN
ejpam-6149	374	39	βc(ec	βc(ec	VERB
ejpam-6149	375	1	+	+	CCONJ
ejpam-6149	375	2	ic)s	ic)s	PROPN
ejpam-6149	375	3	0	0	NUM
ejpam-6149	375	4	0	0	NUM
ejpam-6149	375	5	0	0	NUM
ejpam-6149	375	6	0	0	SYM
ejpam-6149	375	7	0	0	NUM
ejpam-6149	375	8	βtits	βtit	VERB
ejpam-6149	375	9	0	0	NUM
ejpam-6149	375	10	0	0	NUM
ejpam-6149	375	11			NOUN
ejpam-6149	375	12	and	and	CCONJ
ejpam-6149	375	13	v	v	NOUN
ejpam-6149	375	14	=	=	NUM
ejpam-6149	375	15			NOUN
ejpam-6149	375	16	αtβtitec	αtβtitec	ADJ
ejpam-6149	375	17	+	+	CCONJ
ejpam-6149	375	18	(	(	PUNCT
ejpam-6149	375	19	rc	rc	NOUN
ejpam-6149	375	20	+	+	CCONJ
ejpam-6149	375	21	δe	δe	ADP
ejpam-6149	375	22	+	+	ADJ
ejpam-6149	375	23	µ)ec	µ)ec	PROPN
ejpam-6149	375	24	−rcec	−rcec	NOUN
ejpam-6149	376	1	+	+	CCONJ
ejpam-6149	376	2	(	(	PUNCT
ejpam-6149	376	3	δc	δc	NOUN
ejpam-6149	376	4	+	+	CCONJ
ejpam-6149	376	5	µ+	µ+	PRON
ejpam-6149	376	6	µ1)ic	µ1)ic	PROPN
ejpam-6149	376	7	−δeec	−δeec	ADP
ejpam-6149	376	8	−	−	PROPN
ejpam-6149	376	9	δcic	δcic	NOUN
ejpam-6149	376	10	−	−	NOUN
ejpam-6149	376	11	γctqct	γctqct	NOUN
ejpam-6149	376	12	+	+	CCONJ
ejpam-6149	377	1	(	(	PUNCT
ejpam-6149	377	2	γc	γc	X
ejpam-6149	377	3	+	+	CCONJ
ejpam-6149	377	4	µ+	µ+	DET
ejpam-6149	377	5	µ4)qc	µ4)qc	ADJ
ejpam-6149	377	6	−αtβtitec	−αtβtitec	PROPN
ejpam-6149	377	7	−	−	PROPN
ejpam-6149	377	8	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	377	9	+	+	CCONJ
ejpam-6149	377	10	ic)et	ic)et	NUM
ejpam-6149	377	11	+	+	CCONJ
ejpam-6149	377	12	(	(	PUNCT
ejpam-6149	377	13	rct	rct	NOUN
ejpam-6149	377	14	+	+	CCONJ
ejpam-6149	377	15	µ)ect	µ)ect	ADJ
ejpam-6149	377	16	−rctect	−rctect	NOUN
ejpam-6149	377	17	+	+	CCONJ
ejpam-6149	377	18	(	(	PUNCT
ejpam-6149	377	19	δct	δct	NOUN
ejpam-6149	377	20	+	+	CCONJ
ejpam-6149	377	21	µ+	µ+	X
ejpam-6149	377	22	µ3)ict	µ3)ict	NOUN
ejpam-6149	377	23	−δctict	−δctict	PROPN
ejpam-6149	378	1	+	+	CCONJ
ejpam-6149	378	2	(	(	PUNCT
ejpam-6149	378	3	γtc	γtc	VERB
ejpam-6149	378	4	+	+	CCONJ
ejpam-6149	378	5	γct	γct	PRON
ejpam-6149	378	6	+	+	CCONJ
ejpam-6149	378	7	µ+	µ+	PUNCT
ejpam-6149	378	8	µ6)qct	µ6)qct	NOUN
ejpam-6149	378	9	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	378	10	+	+	CCONJ
ejpam-6149	378	11	ic)et	ic)et	NUM
ejpam-6149	378	12	+	+	CCONJ
ejpam-6149	378	13	(	(	PUNCT
ejpam-6149	378	14	rt	rt	X
ejpam-6149	378	15	+	+	PUNCT
ejpam-6149	378	16	µ)et	µ)et	PROPN
ejpam-6149	378	17	−rtet	−rtet	X
ejpam-6149	378	18	+	+	CCONJ
ejpam-6149	378	19	(	(	PUNCT
ejpam-6149	378	20	δt	δt	X
ejpam-6149	378	21	+	+	CCONJ
ejpam-6149	378	22	µ+	µ+	PRON
ejpam-6149	378	23	µ2)it	µ2)it	PROPN
ejpam-6149	378	24	−δtit	−δtit	NOUN
ejpam-6149	378	25	−	−	NOUN
ejpam-6149	378	26	γtcqct	γtcqct	NOUN
ejpam-6149	378	27	+	+	CCONJ
ejpam-6149	378	28	(	(	PUNCT
ejpam-6149	378	29	γt	γt	NOUN
ejpam-6149	378	30	+	+	CCONJ
ejpam-6149	378	31	µ+	µ+	DET
ejpam-6149	378	32	µ5)qt	µ5)qt	PROPN
ejpam-6149	378	33			PROPN
ejpam-6149	378	34	.	.	PUNCT
ejpam-6149	379	1	accordingly	accordingly	ADV
ejpam-6149	379	2	,	,	PUNCT
ejpam-6149	379	3	the	the	DET
ejpam-6149	379	4	jacobian	jacobian	ADJ
ejpam-6149	379	5	matrices	matrix	NOUN
ejpam-6149	379	6	of	of	ADP
ejpam-6149	379	7	f	f	PROPN
ejpam-6149	379	8	and	and	CCONJ
ejpam-6149	379	9	v	v	PROPN
ejpam-6149	379	10	evaluated	evaluate	VERB
ejpam-6149	379	11	at	at	ADP
ejpam-6149	379	12	the	the	DET
ejpam-6149	379	13	disease	disease	NOUN
ejpam-6149	379	14	-	-	PUNCT
ejpam-6149	379	15	free	free	ADJ
ejpam-6149	379	16	equilibrium	equilibrium	NOUN
ejpam-6149	379	17	point	point	NOUN
ejpam-6149	379	18	e0ct	e0ct	X
ejpam-6149	379	19	are	be	AUX
ejpam-6149	379	20	j.	j.	PROPN
ejpam-6149	379	21	puebla	puebla	PROPN
ejpam-6149	379	22	,	,	PUNCT
ejpam-6149	379	23	jm	jm	PROPN
ejpam-6149	379	24	.	.	PROPN
ejpam-6149	379	25	macalalag	macalalag	PROPN
ejpam-6149	379	26	,	,	PUNCT
ejpam-6149	379	27	k.	k.	PROPN
ejpam-6149	379	28	pajaron	pajaron	PROPN
ejpam-6149	379	29	/	/	SYM
ejpam-6149	379	30	eur	eur	PROPN
ejpam-6149	379	31	.	.	PUNCT
ejpam-6149	380	1	j.	j.	PROPN
ejpam-6149	380	2	pure	pure	PROPN
ejpam-6149	380	3	appl	appl	PROPN
ejpam-6149	380	4	.	.	PROPN
ejpam-6149	380	5	math	math	PROPN
ejpam-6149	380	6	,	,	PUNCT
ejpam-6149	380	7	18	18	NUM
ejpam-6149	380	8	(	(	PUNCT
ejpam-6149	380	9	3	3	NUM
ejpam-6149	380	10	)	)	PUNCT
ejpam-6149	380	11	(	(	PUNCT
ejpam-6149	380	12	2025	2025	NUM
ejpam-6149	380	13	)	)	PUNCT
ejpam-6149	380	14	,	,	PUNCT
ejpam-6149	380	15	6149	6149	NUM
ejpam-6149	380	16	17	17	NUM
ejpam-6149	380	17	of	of	ADP
ejpam-6149	380	18	28	28	NUM
ejpam-6149	380	19	f	f	NOUN
ejpam-6149	380	20	=	=	PRON
ejpam-6149	380	21			VERB
ejpam-6149	380	22	βcω	βcω	NOUN
ejpam-6149	380	23	µ	µ	VERB
ejpam-6149	380	24	βcω	βcω	X
ejpam-6149	380	25	µ	µ	X
ejpam-6149	380	26	0	0	NUM
ejpam-6149	380	27	0	0	NUM
ejpam-6149	380	28	0	0	NUM
ejpam-6149	380	29	0	0	NUM
ejpam-6149	380	30	0	0	NUM
ejpam-6149	380	31	0	0	NUM
ejpam-6149	380	32	0	0	NUM
ejpam-6149	380	33	0	0	NUM
ejpam-6149	380	34	0	0	NUM
ejpam-6149	380	35	0	0	NUM
ejpam-6149	380	36	0	0	NUM
ejpam-6149	380	37	0	0	NUM
ejpam-6149	380	38	0	0	NUM
ejpam-6149	380	39	0	0	NUM
ejpam-6149	380	40	0	0	NUM
ejpam-6149	380	41	0	0	NUM
ejpam-6149	380	42	0	0	NUM
ejpam-6149	380	43	0	0	NUM
ejpam-6149	380	44	0	0	NUM
ejpam-6149	380	45	0	0	NUM
ejpam-6149	380	46	0	0	NUM
ejpam-6149	380	47	0	0	NUM
ejpam-6149	380	48	0	0	NUM
ejpam-6149	380	49	0	0	NUM
ejpam-6149	380	50	0	0	NUM
ejpam-6149	380	51	0	0	NUM
ejpam-6149	380	52	0	0	NUM
ejpam-6149	380	53	0	0	NUM
ejpam-6149	380	54	0	0	NUM
ejpam-6149	380	55	0	0	NUM
ejpam-6149	380	56	0	0	NUM
ejpam-6149	380	57	0	0	NUM
ejpam-6149	380	58	0	0	NUM
ejpam-6149	380	59	0	0	NUM
ejpam-6149	380	60	0	0	NUM
ejpam-6149	380	61	0	0	NUM
ejpam-6149	380	62	0	0	NUM
ejpam-6149	380	63	0	0	NUM
ejpam-6149	380	64	0	0	NUM
ejpam-6149	380	65	0	0	NUM
ejpam-6149	380	66	0	0	NUM
ejpam-6149	380	67	0	0	NUM
ejpam-6149	380	68	0	0	NUM
ejpam-6149	380	69	0	0	NUM
ejpam-6149	380	70	0	0	NUM
ejpam-6149	380	71	0	0	NUM
ejpam-6149	380	72	0	0	NUM
ejpam-6149	380	73	0	0	NUM
ejpam-6149	380	74	0	0	NUM
ejpam-6149	380	75	0	0	NUM
ejpam-6149	380	76	0	0	NUM
ejpam-6149	380	77	0	0	NUM
ejpam-6149	380	78	0	0	NUM
ejpam-6149	380	79	0	0	NUM
ejpam-6149	380	80	0	0	NUM
ejpam-6149	380	81	0	0	NUM
ejpam-6149	380	82	0	0	NUM
ejpam-6149	380	83	0	0	NUM
ejpam-6149	380	84	0	0	NUM
ejpam-6149	380	85	βtω	βtω	NOUN
ejpam-6149	380	86	µ	µ	X
ejpam-6149	380	87	0	0	NUM
ejpam-6149	380	88	0	0	NUM
ejpam-6149	380	89	0	0	NUM
ejpam-6149	380	90	0	0	NUM
ejpam-6149	380	91	0	0	NUM
ejpam-6149	380	92	0	0	NUM
ejpam-6149	380	93	0	0	NUM
ejpam-6149	380	94	0	0	NUM
ejpam-6149	380	95	0	0	NUM
ejpam-6149	380	96	0	0	NUM
ejpam-6149	380	97	0	0	NUM
ejpam-6149	380	98	0	0	NUM
ejpam-6149	380	99	0	0	NUM
ejpam-6149	380	100	0	0	NUM
ejpam-6149	380	101	0	0	NUM
ejpam-6149	380	102	0	0	NUM
ejpam-6149	380	103	0	0	NUM
ejpam-6149	380	104	0	0	NUM
ejpam-6149	380	105	0	0	NUM
ejpam-6149	380	106			NOUN
ejpam-6149	380	107	and	and	CCONJ
ejpam-6149	380	108	v	v	NOUN
ejpam-6149	380	109	=	=	NOUN
ejpam-6149	380	110			ADJ
ejpam-6149	380	111	a1	a1	NOUN
ejpam-6149	380	112	0	0	NUM
ejpam-6149	380	113	0	0	NUM
ejpam-6149	380	114	0	0	NUM
ejpam-6149	380	115	0	0	NUM
ejpam-6149	380	116	0	0	NUM
ejpam-6149	380	117	0	0	NUM
ejpam-6149	380	118	0	0	SYM
ejpam-6149	380	119	0	0	NUM
ejpam-6149	380	120	−rc	−rc	PROPN
ejpam-6149	380	121	a2	a2	PROPN
ejpam-6149	380	122	0	0	NUM
ejpam-6149	380	123	0	0	NUM
ejpam-6149	380	124	0	0	NUM
ejpam-6149	380	125	0	0	NUM
ejpam-6149	380	126	0	0	NUM
ejpam-6149	380	127	0	0	NUM
ejpam-6149	380	128	0	0	NUM
ejpam-6149	381	1	−ϵ	−ϵ	PROPN
ejpam-6149	381	2	c	c	PROPN
ejpam-6149	381	3	−ρ	−ρ	PROPN
ejpam-6149	381	4	c	c	PROPN
ejpam-6149	381	5	a3	a3	PROPN
ejpam-6149	381	6	0	0	NUM
ejpam-6149	381	7	0	0	NUM
ejpam-6149	381	8	−γct	−γct	NOUN
ejpam-6149	381	9	0	0	NUM
ejpam-6149	381	10	0	0	NUM
ejpam-6149	381	11	0	0	NUM
ejpam-6149	381	12	0	0	NUM
ejpam-6149	381	13	0	0	SYM
ejpam-6149	381	14	0	0	NUM
ejpam-6149	381	15	c1	c1	NOUN
ejpam-6149	381	16	0	0	NUM
ejpam-6149	381	17	0	0	NUM
ejpam-6149	381	18	0	0	NUM
ejpam-6149	381	19	0	0	NUM
ejpam-6149	381	20	0	0	NUM
ejpam-6149	381	21	0	0	NUM
ejpam-6149	381	22	0	0	NUM
ejpam-6149	381	23	0	0	NUM
ejpam-6149	381	24	−rct	−rct	NOUN
ejpam-6149	382	1	c2	c2	PROPN
ejpam-6149	382	2	0	0	NUM
ejpam-6149	382	3	0	0	NUM
ejpam-6149	382	4	0	0	NUM
ejpam-6149	382	5	0	0	NUM
ejpam-6149	382	6	0	0	NUM
ejpam-6149	382	7	0	0	NUM
ejpam-6149	382	8	0	0	NUM
ejpam-6149	382	9	0	0	NUM
ejpam-6149	382	10	−δct	−δct	NOUN
ejpam-6149	382	11	c3	c3	X
ejpam-6149	382	12	0	0	NUM
ejpam-6149	382	13	0	0	NUM
ejpam-6149	382	14	0	0	NUM
ejpam-6149	382	15	0	0	NUM
ejpam-6149	382	16	0	0	NUM
ejpam-6149	382	17	0	0	NUM
ejpam-6149	382	18	0	0	NUM
ejpam-6149	382	19	0	0	NUM
ejpam-6149	382	20	0	0	NUM
ejpam-6149	382	21	b1	b1	NOUN
ejpam-6149	382	22	0	0	NUM
ejpam-6149	382	23	0	0	NUM
ejpam-6149	382	24	0	0	NUM
ejpam-6149	382	25	0	0	NUM
ejpam-6149	382	26	0	0	NUM
ejpam-6149	382	27	0	0	NUM
ejpam-6149	382	28	0	0	NUM
ejpam-6149	382	29	0	0	NUM
ejpam-6149	382	30	−θ	−θ	PROPN
ejpam-6149	382	31	t	t	PROPN
ejpam-6149	382	32	b2	b2	NOUN
ejpam-6149	382	33	0	0	NUM
ejpam-6149	382	34	0	0	NUM
ejpam-6149	382	35	0	0	NUM
ejpam-6149	382	36	0	0	NUM
ejpam-6149	382	37	0	0	NUM
ejpam-6149	382	38	0	0	NUM
ejpam-6149	382	39	−γtc	−γtc	NOUN
ejpam-6149	382	40	0	0	NUM
ejpam-6149	382	41	−ρ	−ρ	PROPN
ejpam-6149	382	42	t	t	PROPN
ejpam-6149	382	43	b3	b3	PROPN
ejpam-6149	382	44			PROPN
ejpam-6149	382	45	,	,	PUNCT
ejpam-6149	382	46	respectively	respectively	ADV
ejpam-6149	382	47	,	,	PUNCT
ejpam-6149	382	48	where	where	SCONJ
ejpam-6149	382	49	c1	c1	PROPN
ejpam-6149	382	50	=	=	PROPN
ejpam-6149	382	51	rct	rct	PROPN
ejpam-6149	382	52	+	+	CCONJ
ejpam-6149	382	53	µ,c2	µ,c2	PROPN
ejpam-6149	382	54	=	=	SYM
ejpam-6149	382	55	δct	δct	NOUN
ejpam-6149	382	56	+	+	CCONJ
ejpam-6149	382	57	µ+	µ+	DET
ejpam-6149	382	58	µ3	µ3	NOUN
ejpam-6149	382	59	,	,	PUNCT
ejpam-6149	382	60	and	and	CCONJ
ejpam-6149	382	61	c3	c3	PROPN
ejpam-6149	382	62	=	=	PUNCT
ejpam-6149	382	63	γtc	γtc	NOUN
ejpam-6149	382	64	+	+	CCONJ
ejpam-6149	382	65	γct	γct	PRON
ejpam-6149	382	66	+	+	CCONJ
ejpam-6149	382	67	µ+	µ+	PROPN
ejpam-6149	382	68	µ5	µ5	PROPN
ejpam-6149	382	69	.	.	PUNCT
ejpam-6149	383	1	(	(	PUNCT
ejpam-6149	383	2	10	10	NUM
ejpam-6149	383	3	)	)	PUNCT
ejpam-6149	383	4	hence	hence	ADV
ejpam-6149	383	5	,	,	PUNCT
ejpam-6149	383	6	fv	fv	NUM
ejpam-6149	383	7	−1	−1	NOUN
ejpam-6149	383	8	=	=	SYM
ejpam-6149	383	9			PROPN
ejpam-6149	383	10	βcω	βcω	ADV
ejpam-6149	383	11	µa1	µa1	PROPN
ejpam-6149	383	12	+	+	CCONJ
ejpam-6149	383	13	βcωrc	βcωrc	NOUN
ejpam-6149	384	1	µa1a2	µa1a2	NOUN
ejpam-6149	384	2	βcω	βcω	NOUN
ejpam-6149	384	3	µa2	µa2	NOUN
ejpam-6149	384	4	0	0	NUM
ejpam-6149	384	5	0	0	NUM
ejpam-6149	384	6	0	0	NUM
ejpam-6149	384	7	0	0	NUM
ejpam-6149	384	8	0	0	NUM
ejpam-6149	384	9	0	0	NUM
ejpam-6149	384	10	0	0	NUM
ejpam-6149	384	11	0	0	NUM
ejpam-6149	384	12	0	0	NUM
ejpam-6149	384	13	0	0	NUM
ejpam-6149	384	14	0	0	NUM
ejpam-6149	384	15	0	0	NUM
ejpam-6149	384	16	0	0	NUM
ejpam-6149	384	17	0	0	NUM
ejpam-6149	384	18	0	0	NUM
ejpam-6149	384	19	0	0	NUM
ejpam-6149	384	20	0	0	NUM
ejpam-6149	384	21	0	0	NUM
ejpam-6149	384	22	0	0	NUM
ejpam-6149	384	23	0	0	NUM
ejpam-6149	384	24	0	0	NUM
ejpam-6149	384	25	0	0	NUM
ejpam-6149	384	26	0	0	NUM
ejpam-6149	384	27	0	0	NUM
ejpam-6149	384	28	0	0	NUM
ejpam-6149	384	29	0	0	NUM
ejpam-6149	384	30	0	0	NUM
ejpam-6149	384	31	0	0	NUM
ejpam-6149	384	32	0	0	NUM
ejpam-6149	384	33	0	0	NUM
ejpam-6149	384	34	0	0	NUM
ejpam-6149	384	35	0	0	NUM
ejpam-6149	384	36	0	0	NUM
ejpam-6149	384	37	0	0	NUM
ejpam-6149	384	38	0	0	NUM
ejpam-6149	384	39	0	0	NUM
ejpam-6149	384	40	0	0	NUM
ejpam-6149	384	41	0	0	NUM
ejpam-6149	384	42	0	0	NUM
ejpam-6149	384	43	0	0	NUM
ejpam-6149	384	44	0	0	NUM
ejpam-6149	384	45	0	0	NUM
ejpam-6149	384	46	0	0	NUM
ejpam-6149	384	47	0	0	NUM
ejpam-6149	384	48	0	0	NUM
ejpam-6149	384	49	0	0	NUM
ejpam-6149	384	50	0	0	NUM
ejpam-6149	384	51	0	0	NUM
ejpam-6149	384	52	0	0	NUM
ejpam-6149	384	53	0	0	NUM
ejpam-6149	384	54	0	0	NUM
ejpam-6149	384	55	0	0	NUM
ejpam-6149	384	56	0	0	NUM
ejpam-6149	384	57	0	0	NUM
ejpam-6149	384	58	0	0	NUM
ejpam-6149	384	59	0	0	NUM
ejpam-6149	384	60	0	0	NUM
ejpam-6149	384	61	0	0	NUM
ejpam-6149	384	62	βtωrt	βtωrt	NOUN
ejpam-6149	384	63	µb1b2	µb1b2	PROPN
ejpam-6149	384	64	βtω	βtω	NOUN
ejpam-6149	384	65	µb2	µb2	NOUN
ejpam-6149	384	66	0	0	NUM
ejpam-6149	384	67	0	0	NUM
ejpam-6149	384	68	0	0	NUM
ejpam-6149	384	69	0	0	NUM
ejpam-6149	384	70	0	0	NUM
ejpam-6149	384	71	0	0	NUM
ejpam-6149	384	72	0	0	NUM
ejpam-6149	384	73	0	0	NUM
ejpam-6149	384	74	0	0	NUM
ejpam-6149	384	75	0	0	NUM
ejpam-6149	384	76	0	0	NUM
ejpam-6149	384	77	0	0	NUM
ejpam-6149	384	78	0	0	NUM
ejpam-6149	384	79	0	0	NUM
ejpam-6149	384	80	0	0	NUM
ejpam-6149	384	81	0	0	NUM
ejpam-6149	384	82	0	0	NUM
ejpam-6149	384	83	0	0	NUM
ejpam-6149	384	84	0	0	NUM
ejpam-6149	384	85			PROPN
ejpam-6149	384	86	consequently	consequently	ADV
ejpam-6149	384	87	,	,	PUNCT
ejpam-6149	384	88	the	the	DET
ejpam-6149	384	89	nonzero	nonzero	NOUN
ejpam-6149	384	90	eigenvalues	eigenvalue	NOUN
ejpam-6149	384	91	are	be	AUX
ejpam-6149	384	92	βcω(δc	βcω(δc	PUNCT
ejpam-6149	384	93	+	+	CCONJ
ejpam-6149	384	94	µ+	µ+	X
ejpam-6149	384	95	µ1	µ1	PROPN
ejpam-6149	384	96	+	+	SYM
ejpam-6149	384	97	rc	rc	NOUN
ejpam-6149	384	98	)	)	PUNCT
ejpam-6149	384	99	µ(rc	µ(rc	NOUN
ejpam-6149	384	100	+	+	CCONJ
ejpam-6149	384	101	δe	δe	NOUN
ejpam-6149	384	102	+	+	NOUN
ejpam-6149	384	103	µ)(δc	µ)(δc	PROPN
ejpam-6149	384	104	+	+	CCONJ
ejpam-6149	384	105	µ+	µ+	X
ejpam-6149	384	106	µ1	µ1	NOUN
ejpam-6149	384	107	)	)	PUNCT
ejpam-6149	384	108	and	and	CCONJ
ejpam-6149	384	109	βtωrt	βtωrt	NOUN
ejpam-6149	384	110	µ(rt	µ(rt	PROPN
ejpam-6149	384	111	+	+	CCONJ
ejpam-6149	384	112	µ)(δt	µ)(δt	PROPN
ejpam-6149	384	113	+	+	CCONJ
ejpam-6149	384	114	µ+	µ+	PROPN
ejpam-6149	384	115	µ2	µ2	PROPN
ejpam-6149	384	116	)	)	PUNCT
ejpam-6149	384	117	.	.	PUNCT
ejpam-6149	385	1	thus	thus	ADV
ejpam-6149	385	2	,	,	PUNCT
ejpam-6149	385	3	the	the	DET
ejpam-6149	385	4	basic	basic	ADJ
ejpam-6149	385	5	reproduction	reproduction	NOUN
ejpam-6149	385	6	number	number	NOUN
ejpam-6149	385	7	of	of	ADP
ejpam-6149	385	8	the	the	DET
ejpam-6149	385	9	covid-19	covid-19	PROPN
ejpam-6149	385	10	and	and	CCONJ
ejpam-6149	385	11	tuberculosis	tuberculosis	PRON
ejpam-6149	385	12	co	co	NOUN
ejpam-6149	385	13	-	-	NOUN
ejpam-6149	385	14	infection	infection	ADJ
ejpam-6149	385	15	model	model	NOUN
ejpam-6149	385	16	(	(	PUNCT
ejpam-6149	385	17	1	1	X
ejpam-6149	385	18	)	)	PUNCT
ejpam-6149	385	19	is	be	AUX
ejpam-6149	385	20	r0ct	r0ct	PUNCT
ejpam-6149	385	21	=	=	SYM
ejpam-6149	385	22	max	max	X
ejpam-6149	385	23	{	{	PUNCT
ejpam-6149	385	24	βcω(δc	βcω(δc	X
ejpam-6149	385	25	+	+	CCONJ
ejpam-6149	385	26	µ+	µ+	X
ejpam-6149	385	27	µ1	µ1	PROPN
ejpam-6149	385	28	+	+	SYM
ejpam-6149	385	29	rc	rc	NOUN
ejpam-6149	385	30	)	)	PUNCT
ejpam-6149	385	31	µ(rc	µ(rc	NOUN
ejpam-6149	385	32	+	+	CCONJ
ejpam-6149	385	33	δe	δe	NOUN
ejpam-6149	385	34	+	+	NOUN
ejpam-6149	385	35	µ)(δc	µ)(δc	PROPN
ejpam-6149	385	36	+	+	CCONJ
ejpam-6149	385	37	µ+	µ+	X
ejpam-6149	385	38	µ1	µ1	NOUN
ejpam-6149	385	39	)	)	PUNCT
ejpam-6149	385	40	,	,	PUNCT
ejpam-6149	385	41	βtωrt	βtωrt	PROPN
ejpam-6149	385	42	µ(rt	µ(rt	PROPN
ejpam-6149	385	43	+	+	CCONJ
ejpam-6149	385	44	µ)(δt	µ)(δt	PROPN
ejpam-6149	385	45	+	+	CCONJ
ejpam-6149	385	46	µ+	µ+	PROPN
ejpam-6149	385	47	µ2	µ2	PROPN
ejpam-6149	385	48	)	)	PUNCT
ejpam-6149	385	49	}	}	PUNCT
ejpam-6149	385	50	.	.	PUNCT
ejpam-6149	386	1	3.8	3.8	NUM
ejpam-6149	386	2	.	.	PUNCT
ejpam-6149	387	1	stability	stability	NOUN
ejpam-6149	387	2	analysis	analysis	NOUN
ejpam-6149	387	3	for	for	ADP
ejpam-6149	387	4	the	the	DET
ejpam-6149	387	5	co	co	NOUN
ejpam-6149	387	6	-	-	ADJ
ejpam-6149	387	7	infection	infection	ADJ
ejpam-6149	387	8	model	model	NOUN
ejpam-6149	387	9	of	of	ADP
ejpam-6149	387	10	covid-19	covid-19	PROPN
ejpam-6149	387	11	and	and	CCONJ
ejpam-6149	387	12	tuberculosis	tuberculosis	NOUN
ejpam-6149	387	13	theorem	theorem	NOUN
ejpam-6149	387	14	9	9	NUM
ejpam-6149	387	15	.	.	PUNCT
ejpam-6149	388	1	if	if	SCONJ
ejpam-6149	388	2	r0ct	r0ct	NUM
ejpam-6149	388	3	<	<	X
ejpam-6149	388	4	1	1	NUM
ejpam-6149	388	5	,	,	PUNCT
ejpam-6149	388	6	then	then	ADV
ejpam-6149	388	7	the	the	DET
ejpam-6149	388	8	co	co	ADJ
ejpam-6149	388	9	-	-	ADJ
ejpam-6149	388	10	infection	infection	NOUN
ejpam-6149	388	11	system	system	NOUN
ejpam-6149	388	12	(	(	PUNCT
ejpam-6149	388	13	1	1	X
ejpam-6149	388	14	)	)	PUNCT
ejpam-6149	388	15	is	be	AUX
ejpam-6149	388	16	locally	locally	ADV
ejpam-6149	388	17	asymptotically	asymptotically	ADV
ejpam-6149	388	18	stable	stable	ADJ
ejpam-6149	388	19	at	at	ADP
ejpam-6149	388	20	the	the	DET
ejpam-6149	388	21	disease	disease	NOUN
ejpam-6149	388	22	-	-	PUNCT
ejpam-6149	388	23	free	free	ADJ
ejpam-6149	388	24	equilibrium	equilibrium	NOUN
ejpam-6149	388	25	point	point	NOUN
ejpam-6149	388	26	e0ct	e0ct	NOUN
ejpam-6149	388	27	and	and	CCONJ
ejpam-6149	388	28	unstable	unstable	ADJ
ejpam-6149	388	29	otherwise	otherwise	ADV
ejpam-6149	388	30	.	.	PUNCT
ejpam-6149	389	1	j.	j.	PROPN
ejpam-6149	389	2	puebla	puebla	PROPN
ejpam-6149	389	3	,	,	PUNCT
ejpam-6149	389	4	jm	jm	PROPN
ejpam-6149	389	5	.	.	PROPN
ejpam-6149	389	6	macalalag	macalalag	PROPN
ejpam-6149	389	7	,	,	PUNCT
ejpam-6149	389	8	k.	k.	PROPN
ejpam-6149	389	9	pajaron	pajaron	PROPN
ejpam-6149	389	10	/	/	SYM
ejpam-6149	389	11	eur	eur	PROPN
ejpam-6149	389	12	.	.	PUNCT
ejpam-6149	390	1	j.	j.	PROPN
ejpam-6149	390	2	pure	pure	PROPN
ejpam-6149	390	3	appl	appl	PROPN
ejpam-6149	390	4	.	.	PROPN
ejpam-6149	390	5	math	math	PROPN
ejpam-6149	390	6	,	,	PUNCT
ejpam-6149	390	7	18	18	NUM
ejpam-6149	390	8	(	(	PUNCT
ejpam-6149	390	9	3	3	NUM
ejpam-6149	390	10	)	)	PUNCT
ejpam-6149	390	11	(	(	PUNCT
ejpam-6149	390	12	2025	2025	NUM
ejpam-6149	390	13	)	)	PUNCT
ejpam-6149	390	14	,	,	PUNCT
ejpam-6149	390	15	6149	6149	NUM
ejpam-6149	390	16	18	18	NUM
ejpam-6149	390	17	of	of	ADP
ejpam-6149	390	18	28	28	NUM
ejpam-6149	390	19	proof	proof	NOUN
ejpam-6149	390	20	.	.	PUNCT
ejpam-6149	391	1	the	the	DET
ejpam-6149	391	2	jacobian	jacobian	ADJ
ejpam-6149	391	3	matrix	matrix	NOUN
ejpam-6149	391	4	of	of	ADP
ejpam-6149	391	5	system	system	NOUN
ejpam-6149	391	6	(	(	PUNCT
ejpam-6149	391	7	1	1	X
ejpam-6149	391	8	)	)	PUNCT
ejpam-6149	391	9	evaluated	evaluate	VERB
ejpam-6149	391	10	at	at	ADP
ejpam-6149	391	11	dfe	dfe	PROPN
ejpam-6149	391	12	e0ct	e0ct	X
ejpam-6149	391	13	is	be	AUX
ejpam-6149	391	14	je0ct	je0ct	NOUN
ejpam-6149	391	15	=	=	PUNCT
ejpam-6149	391	16			NOUN
ejpam-6149	391	17	−µ	−µ	NOUN
ejpam-6149	391	18	−βcω	−βcω	PROPN
ejpam-6149	391	19	µ	µ	X
ejpam-6149	391	20	−βcω	−βcω	X
ejpam-6149	391	21	µ	µ	X
ejpam-6149	391	22	0	0	NUM
ejpam-6149	391	23	0	0	NUM
ejpam-6149	391	24	0	0	NUM
ejpam-6149	391	25	0	0	NUM
ejpam-6149	391	26	0	0	NUM
ejpam-6149	391	27	−βtω	−βtω	NOUN
ejpam-6149	391	28	µ	µ	X
ejpam-6149	391	29	0	0	NUM
ejpam-6149	391	30	0	0	NUM
ejpam-6149	391	31	βcω	βcω	NOUN
ejpam-6149	391	32	µ	µ	PROPN
ejpam-6149	391	33	−a1	−a1	VERB
ejpam-6149	391	34	βcω	βcω	NOUN
ejpam-6149	391	35	µ	µ	NOUN
ejpam-6149	392	1	0	0	NUM
ejpam-6149	392	2	0	0	NUM
ejpam-6149	392	3	0	0	NUM
ejpam-6149	392	4	0	0	NUM
ejpam-6149	392	5	0	0	NUM
ejpam-6149	392	6	0	0	NUM
ejpam-6149	392	7	0	0	NUM
ejpam-6149	392	8	0	0	NUM
ejpam-6149	392	9	rc	rc	PROPN
ejpam-6149	392	10	−a2	−a2	NOUN
ejpam-6149	392	11	0	0	NUM
ejpam-6149	392	12	0	0	NUM
ejpam-6149	392	13	0	0	NUM
ejpam-6149	392	14	0	0	NUM
ejpam-6149	392	15	0	0	NUM
ejpam-6149	392	16	0	0	NUM
ejpam-6149	392	17	0	0	NUM
ejpam-6149	392	18	0	0	NUM
ejpam-6149	392	19	δe	δe	NOUN
ejpam-6149	392	20	δc	δc	NOUN
ejpam-6149	392	21	−a3	−a3	PROPN
ejpam-6149	392	22	0	0	NUM
ejpam-6149	392	23	0	0	NUM
ejpam-6149	392	24	γct	γct	ADJ
ejpam-6149	392	25	0	0	NUM
ejpam-6149	392	26	0	0	NUM
ejpam-6149	392	27	0	0	NUM
ejpam-6149	392	28	0	0	NUM
ejpam-6149	392	29	0	0	NUM
ejpam-6149	392	30	0	0	NUM
ejpam-6149	392	31	0	0	NUM
ejpam-6149	393	1	−c1	−c1	NOUN
ejpam-6149	393	2	0	0	NUM
ejpam-6149	393	3	0	0	NUM
ejpam-6149	393	4	0	0	NUM
ejpam-6149	393	5	0	0	NUM
ejpam-6149	393	6	0	0	NUM
ejpam-6149	393	7	0	0	NUM
ejpam-6149	393	8	0	0	NUM
ejpam-6149	393	9	0	0	NUM
ejpam-6149	393	10	0	0	NUM
ejpam-6149	393	11	rct	rct	PROPN
ejpam-6149	393	12	−c2	−c2	PROPN
ejpam-6149	393	13	0	0	NUM
ejpam-6149	393	14	0	0	NUM
ejpam-6149	393	15	0	0	NUM
ejpam-6149	393	16	0	0	NUM
ejpam-6149	393	17	0	0	NUM
ejpam-6149	393	18	0	0	NUM
ejpam-6149	393	19	0	0	NUM
ejpam-6149	393	20	0	0	NUM
ejpam-6149	393	21	0	0	NUM
ejpam-6149	393	22	δct	δct	NOUN
ejpam-6149	393	23	−c3	−c3	NOUN
ejpam-6149	393	24	0	0	NUM
ejpam-6149	393	25	0	0	NUM
ejpam-6149	393	26	0	0	NUM
ejpam-6149	393	27	0	0	NUM
ejpam-6149	393	28	0	0	NUM
ejpam-6149	393	29	0	0	NUM
ejpam-6149	393	30	0	0	NUM
ejpam-6149	393	31	0	0	NUM
ejpam-6149	393	32	0	0	NUM
ejpam-6149	393	33	0	0	NUM
ejpam-6149	394	1	−b1	−b1	PROPN
ejpam-6149	394	2	βtω	βtω	NOUN
ejpam-6149	394	3	µ	µ	X
ejpam-6149	394	4	0	0	NUM
ejpam-6149	394	5	0	0	NUM
ejpam-6149	394	6	0	0	NUM
ejpam-6149	394	7	0	0	NUM
ejpam-6149	394	8	0	0	NUM
ejpam-6149	394	9	0	0	NUM
ejpam-6149	394	10	0	0	NUM
ejpam-6149	394	11	0	0	NUM
ejpam-6149	395	1	rt	rt	NOUN
ejpam-6149	395	2	−b2	−b2	ADV
ejpam-6149	395	3	0	0	NUM
ejpam-6149	395	4	0	0	NUM
ejpam-6149	395	5	0	0	NUM
ejpam-6149	395	6	0	0	NUM
ejpam-6149	395	7	0	0	NUM
ejpam-6149	395	8	0	0	NUM
ejpam-6149	395	9	0	0	NUM
ejpam-6149	395	10	γtc	γtc	NOUN
ejpam-6149	395	11	0	0	NUM
ejpam-6149	395	12	δt	δt	ADP
ejpam-6149	396	1	−b3	−b3	PROPN
ejpam-6149	396	2			PROPN
ejpam-6149	397	1	then	then	ADV
ejpam-6149	397	2	the	the	DET
ejpam-6149	397	3	linear	linear	ADJ
ejpam-6149	397	4	factors	factor	NOUN
ejpam-6149	397	5	of	of	ADP
ejpam-6149	397	6	the	the	DET
ejpam-6149	397	7	characteristic	characteristic	ADJ
ejpam-6149	397	8	polynomial	polynomial	NOUN
ejpam-6149	397	9	of	of	ADP
ejpam-6149	397	10	je0ct	je0ct	NOUN
ejpam-6149	397	11	are	be	AUX
ejpam-6149	397	12	(	(	PUNCT
ejpam-6149	397	13	−µ−	−µ−	NOUN
ejpam-6149	397	14	λ	λ	PROPN
ejpam-6149	397	15	)	)	PUNCT
ejpam-6149	397	16	,	,	PUNCT
ejpam-6149	397	17	(	(	PUNCT
ejpam-6149	397	18	−b3	−b3	PROPN
ejpam-6149	397	19	−	−	PROPN
ejpam-6149	397	20	λ	λ	PROPN
ejpam-6149	397	21	)	)	PUNCT
ejpam-6149	397	22	,	,	PUNCT
ejpam-6149	397	23	(	(	PUNCT
ejpam-6149	397	24	−a3	−a3	NOUN
ejpam-6149	397	25	−	−	PROPN
ejpam-6149	397	26	λ	λ	PROPN
ejpam-6149	397	27	)	)	PUNCT
ejpam-6149	397	28	,	,	PUNCT
ejpam-6149	397	29	(	(	PUNCT
ejpam-6149	397	30	−c3	−c3	PROPN
ejpam-6149	397	31	−	−	PROPN
ejpam-6149	397	32	λ	λ	PROPN
ejpam-6149	397	33	)	)	PUNCT
ejpam-6149	397	34	,	,	PUNCT
ejpam-6149	397	35	(	(	PUNCT
ejpam-6149	397	36	−c2	−c2	PROPN
ejpam-6149	397	37	−	−	PROPN
ejpam-6149	397	38	λ	λ	PROPN
ejpam-6149	397	39	)	)	PUNCT
ejpam-6149	397	40	,	,	PUNCT
ejpam-6149	397	41	(	(	PUNCT
ejpam-6149	397	42	−c1	−c1	PROPN
ejpam-6149	397	43	−	−	PROPN
ejpam-6149	397	44	λ	λ	PROPN
ejpam-6149	397	45	)	)	PUNCT
ejpam-6149	397	46	and	and	CCONJ
ejpam-6149	397	47	the	the	DET
ejpam-6149	397	48	second	second	ADJ
ejpam-6149	397	49	order	order	NOUN
ejpam-6149	397	50	polynomial	polynomial	ADJ
ejpam-6149	397	51	factors	factor	NOUN
ejpam-6149	397	52	are	be	AUX
ejpam-6149	397	53	λ2	λ2	NOUN
ejpam-6149	398	1	+	+	CCONJ
ejpam-6149	398	2	(	(	PUNCT
ejpam-6149	398	3	b1	b1	NOUN
ejpam-6149	398	4	+	+	PROPN
ejpam-6149	398	5	b2)λ+b1b2	b2)λ+b1b2	PROPN
ejpam-6149	398	6	−	−	PROPN
ejpam-6149	398	7	βcωrt	βcωrt	NOUN
ejpam-6149	398	8	µ	µ	NOUN
ejpam-6149	398	9	and	and	CCONJ
ejpam-6149	398	10	λ2	λ2	PROPN
ejpam-6149	398	11	+	+	CCONJ
ejpam-6149	398	12	(	(	PUNCT
ejpam-6149	398	13	a1	a1	NOUN
ejpam-6149	398	14	+	+	PROPN
ejpam-6149	398	15	a2	a2	PROPN
ejpam-6149	398	16	−	−	PROPN
ejpam-6149	398	17	βcω	βcω	SYM
ejpam-6149	398	18	µ	µ	X
ejpam-6149	398	19	)	)	PUNCT
ejpam-6149	399	1	λ+a1a2	λ+a1a2	NOUN
ejpam-6149	399	2	−	−	X
ejpam-6149	399	3	βcωa2	βcωa2	NOUN
ejpam-6149	399	4	µ	µ	X
ejpam-6149	399	5	−	−	PROPN
ejpam-6149	399	6	βcωrc	βcωrc	NOUN
ejpam-6149	399	7	µ	µ	NOUN
ejpam-6149	399	8	.	.	PUNCT
ejpam-6149	400	1	similar	similar	ADJ
ejpam-6149	400	2	to	to	ADP
ejpam-6149	400	3	the	the	DET
ejpam-6149	400	4	proofs	proof	NOUN
ejpam-6149	400	5	of	of	ADP
ejpam-6149	400	6	theorem	theorem	NOUN
ejpam-6149	400	7	(	(	PUNCT
ejpam-6149	400	8	1	1	NUM
ejpam-6149	400	9	)	)	PUNCT
ejpam-6149	400	10	and	and	CCONJ
ejpam-6149	400	11	theorem	theorem	VERB
ejpam-6149	400	12	(	(	PUNCT
ejpam-6149	400	13	6	6	NUM
ejpam-6149	400	14	)	)	PUNCT
ejpam-6149	400	15	,	,	PUNCT
ejpam-6149	400	16	we	we	PRON
ejpam-6149	400	17	can	can	AUX
ejpam-6149	400	18	see	see	VERB
ejpam-6149	400	19	that	that	SCONJ
ejpam-6149	400	20	the	the	DET
ejpam-6149	400	21	second	second	ADJ
ejpam-6149	400	22	order	order	NOUN
ejpam-6149	400	23	polynomials	polynomial	NOUN
ejpam-6149	400	24	above	above	ADV
ejpam-6149	400	25	have	have	VERB
ejpam-6149	400	26	roots	root	NOUN
ejpam-6149	400	27	with	with	ADP
ejpam-6149	400	28	negative	negative	ADJ
ejpam-6149	400	29	real	real	ADJ
ejpam-6149	400	30	parts	part	NOUN
ejpam-6149	400	31	.	.	PUNCT
ejpam-6149	401	1	therefore	therefore	ADV
ejpam-6149	401	2	,	,	PUNCT
ejpam-6149	401	3	the	the	DET
ejpam-6149	401	4	co	co	NOUN
ejpam-6149	401	5	-	-	ADJ
ejpam-6149	401	6	infection	infection	NOUN
ejpam-6149	401	7	system	system	NOUN
ejpam-6149	401	8	(	(	PUNCT
ejpam-6149	401	9	1	1	NUM
ejpam-6149	401	10	)	)	PUNCT
ejpam-6149	401	11	of	of	ADP
ejpam-6149	401	12	covid-19	covid-19	PROPN
ejpam-6149	401	13	and	and	CCONJ
ejpam-6149	401	14	tuberculosis	tuberculosis	NOUN
ejpam-6149	401	15	is	be	AUX
ejpam-6149	401	16	locally	locally	ADV
ejpam-6149	401	17	asymptotically	asymptotically	ADV
ejpam-6149	401	18	stable	stable	ADJ
ejpam-6149	401	19	at	at	ADP
ejpam-6149	401	20	the	the	DET
ejpam-6149	401	21	disease	disease	NOUN
ejpam-6149	401	22	-	-	PUNCT
ejpam-6149	401	23	free	free	ADJ
ejpam-6149	401	24	equilibrium	equilibrium	NOUN
ejpam-6149	401	25	point	point	NOUN
ejpam-6149	401	26	e0ct	e0ct	VERB
ejpam-6149	401	27	when	when	SCONJ
ejpam-6149	401	28	r0ct	r0ct	PUNCT
ejpam-6149	401	29	<	<	X
ejpam-6149	401	30	1	1	NUM
ejpam-6149	401	31	and	and	CCONJ
ejpam-6149	401	32	unstable	unstable	ADJ
ejpam-6149	401	33	otherwise	otherwise	ADV
ejpam-6149	401	34	.	.	PUNCT
ejpam-6149	402	1	to	to	PART
ejpam-6149	402	2	examine	examine	VERB
ejpam-6149	402	3	the	the	DET
ejpam-6149	402	4	global	global	ADJ
ejpam-6149	402	5	stability	stability	NOUN
ejpam-6149	402	6	of	of	ADP
ejpam-6149	402	7	the	the	DET
ejpam-6149	402	8	co	co	NOUN
ejpam-6149	402	9	-	-	ADJ
ejpam-6149	402	10	infection	infection	ADJ
ejpam-6149	402	11	model	model	NOUN
ejpam-6149	402	12	(	(	PUNCT
ejpam-6149	402	13	1	1	NUM
ejpam-6149	402	14	)	)	PUNCT
ejpam-6149	402	15	at	at	ADP
ejpam-6149	402	16	the	the	DET
ejpam-6149	402	17	disease	disease	NOUN
ejpam-6149	402	18	-	-	PUNCT
ejpam-6149	402	19	free	free	ADJ
ejpam-6149	402	20	equilibrium	equilibrium	NOUN
ejpam-6149	402	21	e0ct	e0ct	NOUN
ejpam-6149	402	22	,	,	PUNCT
ejpam-6149	402	23	we	we	PRON
ejpam-6149	402	24	employ	employ	VERB
ejpam-6149	402	25	the	the	DET
ejpam-6149	402	26	method	method	NOUN
ejpam-6149	402	27	developed	develop	VERB
ejpam-6149	402	28	by	by	ADP
ejpam-6149	402	29	castillo	castillo	PROPN
ejpam-6149	402	30	-	-	PUNCT
ejpam-6149	402	31	chavez	chavez	PROPN
ejpam-6149	403	1	[	[	X
ejpam-6149	403	2	7	7	NUM
ejpam-6149	403	3	]	]	PUNCT
ejpam-6149	403	4	.	.	PUNCT
ejpam-6149	404	1	rewriting	rewrite	VERB
ejpam-6149	404	2	the	the	DET
ejpam-6149	404	3	co	co	ADJ
ejpam-6149	404	4	-	-	ADJ
ejpam-6149	404	5	infection	infection	ADJ
ejpam-6149	404	6	model	model	NOUN
ejpam-6149	404	7	(	(	PUNCT
ejpam-6149	404	8	1	1	NUM
ejpam-6149	404	9	)	)	PUNCT
ejpam-6149	404	10	as	as	SCONJ
ejpam-6149	404	11			PRON
ejpam-6149	404	12	dx	dx	VERB
ejpam-6149	404	13	dt	dt	NOUN
ejpam-6149	405	1	=	=	SYM
ejpam-6149	405	2	f	f	PROPN
ejpam-6149	405	3	(	(	PUNCT
ejpam-6149	405	4	x	x	X
ejpam-6149	405	5	,	,	PUNCT
ejpam-6149	405	6	z	z	NOUN
ejpam-6149	405	7	)	)	PUNCT
ejpam-6149	405	8	dz	dz	ADJ
ejpam-6149	405	9	dt	dt	NOUN
ejpam-6149	406	1	=	=	SYM
ejpam-6149	406	2	g(x	g(x	PROPN
ejpam-6149	406	3	,	,	PUNCT
ejpam-6149	406	4	z	z	NOUN
ejpam-6149	406	5	)	)	PUNCT
ejpam-6149	406	6	,	,	PUNCT
ejpam-6149	406	7	where	where	SCONJ
ejpam-6149	406	8	x	x	X
ejpam-6149	406	9	=	=	SYM
ejpam-6149	406	10	s	s	X
ejpam-6149	406	11	and	and	CCONJ
ejpam-6149	406	12	z	z	NOUN
ejpam-6149	406	13	=	=	SYM
ejpam-6149	406	14	(	(	PUNCT
ejpam-6149	406	15	ec	ec	PROPN
ejpam-6149	406	16	,	,	PUNCT
ejpam-6149	406	17	ic	ic	PROPN
ejpam-6149	406	18	,	,	PUNCT
ejpam-6149	406	19	qc	qc	PROPN
ejpam-6149	406	20	,	,	PUNCT
ejpam-6149	406	21	ect	ect	PROPN
ejpam-6149	406	22	,	,	PUNCT
ejpam-6149	406	23	ict	ict	PROPN
ejpam-6149	406	24	,	,	PUNCT
ejpam-6149	406	25	qct	qct	PROPN
ejpam-6149	406	26	,	,	PUNCT
ejpam-6149	406	27	et	et	PROPN
ejpam-6149	406	28	,	,	PUNCT
ejpam-6149	406	29	it	it	PRON
ejpam-6149	406	30	,	,	PUNCT
ejpam-6149	406	31	qt	qt	NOUN
ejpam-6149	406	32	)	)	PUNCT
ejpam-6149	406	33	denote	denote	VERB
ejpam-6149	406	34	the	the	DET
ejpam-6149	406	35	noninfectious	noninfectious	ADJ
ejpam-6149	406	36	and	and	CCONJ
ejpam-6149	406	37	infectious	infectious	ADJ
ejpam-6149	406	38	states	state	NOUN
ejpam-6149	406	39	,	,	PUNCT
ejpam-6149	406	40	respectively	respectively	ADV
ejpam-6149	406	41	.	.	PUNCT
ejpam-6149	407	1	the	the	DET
ejpam-6149	407	2	disease	disease	NOUN
ejpam-6149	407	3	-	-	PUNCT
ejpam-6149	407	4	free	free	ADJ
ejpam-6149	407	5	equilibrium	equilibrium	NOUN
ejpam-6149	407	6	is	be	AUX
ejpam-6149	407	7	denoted	denote	VERB
ejpam-6149	407	8	now	now	ADV
ejpam-6149	407	9	as	as	ADP
ejpam-6149	407	10	e0ct	e0ct	X
ejpam-6149	407	11	=	=	SYM
ejpam-6149	407	12	(	(	PUNCT
ejpam-6149	407	13	x0	x0	PROPN
ejpam-6149	407	14	,	,	PUNCT
ejpam-6149	407	15	0	0	NUM
ejpam-6149	407	16	)	)	PUNCT
ejpam-6149	408	1	where	where	SCONJ
ejpam-6149	408	2	x0	x0	PROPN
ejpam-6149	408	3	=	=	SYM
ejpam-6149	408	4	ω	ω	X
ejpam-6149	408	5	µ	µ	NOUN
ejpam-6149	408	6	.	.	PUNCT
ejpam-6149	409	1	the	the	DET
ejpam-6149	409	2	conditions	condition	NOUN
ejpam-6149	409	3	stated	state	VERB
ejpam-6149	409	4	below	below	ADV
ejpam-6149	409	5	are	be	AUX
ejpam-6149	409	6	necessary	necessary	ADJ
ejpam-6149	409	7	to	to	PART
ejpam-6149	409	8	ensure	ensure	VERB
ejpam-6149	409	9	the	the	DET
ejpam-6149	409	10	global	global	ADJ
ejpam-6149	409	11	asymptotic	asymptotic	ADJ
ejpam-6149	409	12	stability	stability	NOUN
ejpam-6149	409	13	of	of	ADP
ejpam-6149	409	14	e0ct	e0ct	NOUN
ejpam-6149	409	15	for	for	ADP
ejpam-6149	409	16	r0ct	r0ct	PUNCT
ejpam-6149	409	17	<	<	X
ejpam-6149	409	18	1	1	NUM
ejpam-6149	409	19	:	:	PUNCT
ejpam-6149	409	20	(	(	PUNCT
ejpam-6149	409	21	i	i	NOUN
ejpam-6149	409	22	)	)	PUNCT
ejpam-6149	409	23	for	for	ADP
ejpam-6149	409	24	dx	dx	PROPN
ejpam-6149	409	25	dt	dt	PROPN
ejpam-6149	410	1	=	=	SYM
ejpam-6149	410	2	f	f	PROPN
ejpam-6149	410	3	(	(	PUNCT
ejpam-6149	410	4	x	x	X
ejpam-6149	410	5	,	,	PUNCT
ejpam-6149	410	6	0	0	NUM
ejpam-6149	410	7	)	)	PUNCT
ejpam-6149	410	8	,	,	PUNCT
ejpam-6149	410	9	x0	x0	PROPN
ejpam-6149	410	10	is	be	AUX
ejpam-6149	410	11	globally	globally	ADV
ejpam-6149	410	12	asymptotically	asymptotically	ADV
ejpam-6149	410	13	stable	stable	ADJ
ejpam-6149	410	14	(	(	PUNCT
ejpam-6149	410	15	ii	ii	NOUN
ejpam-6149	410	16	)	)	PUNCT
ejpam-6149	410	17	g(x	g(x	NOUN
ejpam-6149	410	18	,	,	PUNCT
ejpam-6149	410	19	z	z	NOUN
ejpam-6149	410	20	)	)	PUNCT
ejpam-6149	410	21	=	=	SYM
ejpam-6149	410	22	az	az	PROPN
ejpam-6149	410	23	−	−	PROPN
ejpam-6149	410	24	ĝ(x	ĝ(x	NOUN
ejpam-6149	410	25	,	,	PUNCT
ejpam-6149	410	26	z	z	NOUN
ejpam-6149	410	27	)	)	PUNCT
ejpam-6149	410	28	,	,	PUNCT
ejpam-6149	410	29	ĝ(x	ĝ(x	NOUN
ejpam-6149	410	30	,	,	PUNCT
ejpam-6149	410	31	z	z	NOUN
ejpam-6149	410	32	)	)	PUNCT
ejpam-6149	410	33	≥	≥	NOUN
ejpam-6149	410	34	0	0	NUM
ejpam-6149	410	35	,	,	PUNCT
ejpam-6149	410	36	for	for	ADP
ejpam-6149	410	37	(	(	PUNCT
ejpam-6149	410	38	x	x	NOUN
ejpam-6149	410	39	,	,	PUNCT
ejpam-6149	410	40	z	z	NOUN
ejpam-6149	410	41	)	)	PUNCT
ejpam-6149	410	42	∈	∈	PROPN
ejpam-6149	410	43	ω	ω	NUM
ejpam-6149	410	44	where	where	SCONJ
ejpam-6149	410	45	a	a	DET
ejpam-6149	410	46	=	=	SYM
ejpam-6149	410	47	dzg(e0ct	dzg(e0ct	NUM
ejpam-6149	410	48	,	,	PUNCT
ejpam-6149	410	49	0	0	NUM
ejpam-6149	410	50	)	)	PUNCT
ejpam-6149	410	51	is	be	AUX
ejpam-6149	410	52	a	a	DET
ejpam-6149	410	53	metzler	metzler	NOUN
ejpam-6149	410	54	matrix	matrix	NOUN
ejpam-6149	410	55	(	(	PUNCT
ejpam-6149	410	56	the	the	DET
ejpam-6149	410	57	non	non	ADJ
ejpam-6149	410	58	-	-	ADJ
ejpam-6149	410	59	diagonal	diagonal	ADJ
ejpam-6149	410	60	entities	entity	NOUN
ejpam-6149	410	61	of	of	ADP
ejpam-6149	410	62	a	a	PRON
ejpam-6149	410	63	are	be	AUX
ejpam-6149	410	64	non	non	ADJ
ejpam-6149	410	65	-	-	ADJ
ejpam-6149	410	66	negative	negative	ADJ
ejpam-6149	410	67	)	)	PUNCT
ejpam-6149	410	68	,	,	PUNCT
ejpam-6149	410	69	and	and	CCONJ
ejpam-6149	410	70	ω	ω	PROPN
ejpam-6149	410	71	is	be	AUX
ejpam-6149	410	72	the	the	DET
ejpam-6149	410	73	biological	biological	ADJ
ejpam-6149	410	74	feasible	feasible	ADJ
ejpam-6149	410	75	region	region	NOUN
ejpam-6149	410	76	of	of	ADP
ejpam-6149	410	77	the	the	DET
ejpam-6149	410	78	model	model	NOUN
ejpam-6149	410	79	.	.	PUNCT
ejpam-6149	411	1	from	from	ADP
ejpam-6149	411	2	the	the	DET
ejpam-6149	411	3	co	co	NOUN
ejpam-6149	411	4	-	-	ADJ
ejpam-6149	411	5	infection	infection	ADJ
ejpam-6149	411	6	model	model	NOUN
ejpam-6149	411	7	(	(	PUNCT
ejpam-6149	411	8	1	1	NUM
ejpam-6149	411	9	)	)	PUNCT
ejpam-6149	411	10	,	,	PUNCT
ejpam-6149	411	11	we	we	PRON
ejpam-6149	411	12	have	have	VERB
ejpam-6149	411	13	dx	dx	PROPN
ejpam-6149	412	1	dt	dt	PROPN
ejpam-6149	413	1	=	=	SYM
ejpam-6149	413	2	f	f	PROPN
ejpam-6149	413	3	(	(	PUNCT
ejpam-6149	413	4	x	x	X
ejpam-6149	413	5	,	,	PUNCT
ejpam-6149	413	6	z	z	NOUN
ejpam-6149	413	7	)	)	PUNCT
ejpam-6149	413	8	=	=	SYM
ejpam-6149	413	9	ω	ω	PROPN
ejpam-6149	414	1	−	−	PROPN
ejpam-6149	414	2	βc(ec	βc(ec	PROPN
ejpam-6149	414	3	+	+	CCONJ
ejpam-6149	414	4	ic)−	ic)−	ADJ
ejpam-6149	414	5	βtits	βtit	NOUN
ejpam-6149	414	6	−	−	PROPN
ejpam-6149	414	7	µs	µs	PROPN
ejpam-6149	414	8	.	.	PUNCT
ejpam-6149	415	1	j.	j.	PROPN
ejpam-6149	415	2	puebla	puebla	PROPN
ejpam-6149	415	3	,	,	PUNCT
ejpam-6149	415	4	jm	jm	PROPN
ejpam-6149	415	5	.	.	PROPN
ejpam-6149	415	6	macalalag	macalalag	PROPN
ejpam-6149	415	7	,	,	PUNCT
ejpam-6149	415	8	k.	k.	PROPN
ejpam-6149	415	9	pajaron	pajaron	PROPN
ejpam-6149	415	10	/	/	SYM
ejpam-6149	415	11	eur	eur	PROPN
ejpam-6149	415	12	.	.	PUNCT
ejpam-6149	416	1	j.	j.	PROPN
ejpam-6149	416	2	pure	pure	PROPN
ejpam-6149	416	3	appl	appl	PROPN
ejpam-6149	416	4	.	.	PROPN
ejpam-6149	416	5	math	math	PROPN
ejpam-6149	416	6	,	,	PUNCT
ejpam-6149	416	7	18	18	NUM
ejpam-6149	416	8	(	(	PUNCT
ejpam-6149	416	9	3	3	NUM
ejpam-6149	416	10	)	)	PUNCT
ejpam-6149	416	11	(	(	PUNCT
ejpam-6149	416	12	2025	2025	NUM
ejpam-6149	416	13	)	)	PUNCT
ejpam-6149	416	14	,	,	PUNCT
ejpam-6149	416	15	6149	6149	NUM
ejpam-6149	416	16	19	19	NUM
ejpam-6149	416	17	of	of	ADP
ejpam-6149	416	18	28	28	NUM
ejpam-6149	416	19	hence	hence	ADV
ejpam-6149	416	20	,	,	PUNCT
ejpam-6149	416	21	dx	dx	PROPN
ejpam-6149	416	22	dt	dt	PROPN
ejpam-6149	417	1	=	=	SYM
ejpam-6149	417	2	f	f	PROPN
ejpam-6149	417	3	(	(	PUNCT
ejpam-6149	417	4	x	x	X
ejpam-6149	417	5	,	,	PUNCT
ejpam-6149	417	6	0	0	NUM
ejpam-6149	417	7	)	)	PUNCT
ejpam-6149	417	8	=	=	SYM
ejpam-6149	418	1	ω	ω	NUM
ejpam-6149	418	2	−	−	NOUN
ejpam-6149	418	3	µs	µs	NOUN
ejpam-6149	418	4	and	and	CCONJ
ejpam-6149	418	5	x0	x0	PROPN
ejpam-6149	418	6	is	be	AUX
ejpam-6149	418	7	globally	globally	ADV
ejpam-6149	418	8	asymptotically	asymptotically	ADV
ejpam-6149	418	9	stable	stable	ADJ
ejpam-6149	418	10	.	.	PUNCT
ejpam-6149	419	1	moreover	moreover	ADV
ejpam-6149	419	2	,	,	PUNCT
ejpam-6149	419	3	dz	dz	ADJ
ejpam-6149	419	4	dt	dt	NOUN
ejpam-6149	419	5	=	=	SYM
ejpam-6149	419	6	g(x	g(x	PROPN
ejpam-6149	419	7	,	,	PUNCT
ejpam-6149	419	8	z	z	NOUN
ejpam-6149	419	9	)	)	PUNCT
ejpam-6149	419	10	=	=	SYM
ejpam-6149	419	11			NOUN
ejpam-6149	419	12	βc(ec	βc(ec	VERB
ejpam-6149	420	1	+	+	CCONJ
ejpam-6149	420	2	ic)s	ic)s	PROPN
ejpam-6149	420	3	−	−	PROPN
ejpam-6149	420	4	αtβtitec	αtβtitec	ADJ
ejpam-6149	420	5	−	−	PROPN
ejpam-6149	420	6	(	(	PUNCT
ejpam-6149	420	7	rc	rc	PROPN
ejpam-6149	420	8	+	+	CCONJ
ejpam-6149	420	9	δe	δe	ADP
ejpam-6149	420	10	+	+	CCONJ
ejpam-6149	420	11	µ)ec	µ)ec	PROPN
ejpam-6149	420	12	rcec	rcec	VERB
ejpam-6149	420	13	−	−	PROPN
ejpam-6149	420	14	(	(	PUNCT
ejpam-6149	420	15	δc	δc	NOUN
ejpam-6149	420	16	+	+	CCONJ
ejpam-6149	420	17	µ+	µ+	PRON
ejpam-6149	420	18	µ1)ic	µ1)ic	PROPN
ejpam-6149	420	19	δeec	δeec	ADJ
ejpam-6149	420	20	+	+	CCONJ
ejpam-6149	420	21	δcic	δcic	NOUN
ejpam-6149	420	22	+	+	CCONJ
ejpam-6149	420	23	γctqct	γctqct	NOUN
ejpam-6149	420	24	−	−	PROPN
ejpam-6149	420	25	(	(	PUNCT
ejpam-6149	420	26	γc	γc	PROPN
ejpam-6149	420	27	+	+	CCONJ
ejpam-6149	420	28	µ+	µ+	DET
ejpam-6149	420	29	µ4)qc	µ4)qc	ADJ
ejpam-6149	420	30	αtβtitec	αtβtitec	NOUN
ejpam-6149	420	31	+	+	CCONJ
ejpam-6149	420	32	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	420	33	+	+	CCONJ
ejpam-6149	420	34	ic)et	ic)et	NUM
ejpam-6149	420	35	−	−	PROPN
ejpam-6149	420	36	(	(	PUNCT
ejpam-6149	420	37	rct	rct	NOUN
ejpam-6149	420	38	+	+	CCONJ
ejpam-6149	420	39	µ)ect	µ)ect	ADJ
ejpam-6149	420	40	rctect	rctect	NOUN
ejpam-6149	420	41	−	−	PROPN
ejpam-6149	420	42	(	(	PUNCT
ejpam-6149	420	43	δct	δct	NOUN
ejpam-6149	420	44	+	+	CCONJ
ejpam-6149	420	45	µ+	µ+	X
ejpam-6149	420	46	µ3)ict	µ3)ict	PROPN
ejpam-6149	420	47	δctict	δctict	NOUN
ejpam-6149	420	48	−	−	PROPN
ejpam-6149	420	49	(	(	PUNCT
ejpam-6149	420	50	γtc	γtc	VERB
ejpam-6149	420	51	+	+	CCONJ
ejpam-6149	420	52	γct	γct	PRON
ejpam-6149	420	53	+	+	CCONJ
ejpam-6149	420	54	µ+	µ+	PUNCT
ejpam-6149	420	55	µ6)qct	µ6)qct	NOUN
ejpam-6149	420	56	βtits	βtit	VERB
ejpam-6149	420	57	−	−	PROPN
ejpam-6149	420	58	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	420	59	+	+	CCONJ
ejpam-6149	420	60	ic)et	ic)et	NUM
ejpam-6149	420	61	−	−	PROPN
ejpam-6149	420	62	(	(	PUNCT
ejpam-6149	420	63	rt	rt	PROPN
ejpam-6149	420	64	+	+	PUNCT
ejpam-6149	420	65	µ)et	µ)et	PROPN
ejpam-6149	420	66	rtet	rtet	NOUN
ejpam-6149	420	67	−	−	PROPN
ejpam-6149	420	68	(	(	PUNCT
ejpam-6149	420	69	δt	δt	X
ejpam-6149	420	70	+	+	CCONJ
ejpam-6149	420	71	µ+	µ+	DET
ejpam-6149	420	72	µ2)it	µ2)it	PROPN
ejpam-6149	420	73	δtit	δtit	NOUN
ejpam-6149	420	74	+	+	CCONJ
ejpam-6149	420	75	γtcqct	γtcqct	NOUN
ejpam-6149	420	76	−	−	PROPN
ejpam-6149	420	77	(	(	PUNCT
ejpam-6149	420	78	γt	γt	NOUN
ejpam-6149	420	79	+	+	CCONJ
ejpam-6149	420	80	µ+	µ+	DET
ejpam-6149	420	81	µ5)qt	µ5)qt	PROPN
ejpam-6149	420	82			NOUN
ejpam-6149	420	83	consequently	consequently	ADV
ejpam-6149	420	84	,	,	PUNCT
ejpam-6149	420	85	a	a	DET
ejpam-6149	420	86	=	=	PRON
ejpam-6149	420	87			NOUN
ejpam-6149	420	88	βcω	βcω	NOUN
ejpam-6149	420	89	µ	µ	AUX
ejpam-6149	420	90	−a1	−a1	VERB
ejpam-6149	420	91	βcω	βcω	NOUN
ejpam-6149	420	92	µ	µ	NOUN
ejpam-6149	420	93	0	0	NUM
ejpam-6149	420	94	0	0	NUM
ejpam-6149	420	95	0	0	NUM
ejpam-6149	420	96	0	0	NUM
ejpam-6149	420	97	0	0	NUM
ejpam-6149	420	98	0	0	NUM
ejpam-6149	420	99	0	0	NUM
ejpam-6149	420	100	rc	rc	PROPN
ejpam-6149	420	101	−a2	−a2	NOUN
ejpam-6149	420	102	0	0	NUM
ejpam-6149	420	103	0	0	NUM
ejpam-6149	420	104	0	0	NUM
ejpam-6149	420	105	0	0	NUM
ejpam-6149	420	106	0	0	NUM
ejpam-6149	420	107	0	0	NUM
ejpam-6149	420	108	0	0	NUM
ejpam-6149	420	109	δe	δe	NOUN
ejpam-6149	420	110	δc	δc	NOUN
ejpam-6149	420	111	−a3	−a3	PROPN
ejpam-6149	420	112	0	0	NUM
ejpam-6149	420	113	0	0	NUM
ejpam-6149	421	1	γct	γct	ADJ
ejpam-6149	421	2	0	0	NUM
ejpam-6149	421	3	0	0	NUM
ejpam-6149	421	4	0	0	NUM
ejpam-6149	421	5	0	0	NUM
ejpam-6149	421	6	0	0	NUM
ejpam-6149	421	7	0	0	NUM
ejpam-6149	422	1	−c1	−c1	NOUN
ejpam-6149	422	2	0	0	NUM
ejpam-6149	422	3	0	0	NUM
ejpam-6149	422	4	0	0	NUM
ejpam-6149	422	5	0	0	NUM
ejpam-6149	422	6	0	0	NUM
ejpam-6149	422	7	0	0	NUM
ejpam-6149	422	8	0	0	NUM
ejpam-6149	422	9	0	0	NUM
ejpam-6149	422	10	rct	rct	PROPN
ejpam-6149	422	11	−c2	−c2	PROPN
ejpam-6149	422	12	0	0	NUM
ejpam-6149	422	13	0	0	NUM
ejpam-6149	422	14	0	0	NUM
ejpam-6149	422	15	0	0	NUM
ejpam-6149	422	16	0	0	NUM
ejpam-6149	422	17	0	0	NUM
ejpam-6149	422	18	0	0	NUM
ejpam-6149	422	19	0	0	NUM
ejpam-6149	422	20	δct	δct	NOUN
ejpam-6149	422	21	−c3	−c3	NOUN
ejpam-6149	422	22	0	0	NUM
ejpam-6149	422	23	0	0	NUM
ejpam-6149	422	24	0	0	NUM
ejpam-6149	422	25	0	0	NUM
ejpam-6149	422	26	0	0	NUM
ejpam-6149	422	27	0	0	NUM
ejpam-6149	422	28	0	0	NUM
ejpam-6149	422	29	0	0	NUM
ejpam-6149	422	30	0	0	NUM
ejpam-6149	423	1	−b1	−b1	PROPN
ejpam-6149	423	2	βtω	βtω	NOUN
ejpam-6149	423	3	µ	µ	X
ejpam-6149	423	4	0	0	NUM
ejpam-6149	423	5	0	0	NUM
ejpam-6149	423	6	0	0	NUM
ejpam-6149	423	7	0	0	NUM
ejpam-6149	423	8	0	0	NUM
ejpam-6149	423	9	0	0	NUM
ejpam-6149	423	10	0	0	NUM
ejpam-6149	424	1	rt	rt	NOUN
ejpam-6149	424	2	−b2	−b2	ADV
ejpam-6149	424	3	0	0	NUM
ejpam-6149	424	4	0	0	NUM
ejpam-6149	424	5	0	0	NUM
ejpam-6149	424	6	0	0	NUM
ejpam-6149	424	7	0	0	NUM
ejpam-6149	424	8	0	0	NUM
ejpam-6149	424	9	γtc	γtc	NOUN
ejpam-6149	424	10	0	0	NUM
ejpam-6149	424	11	δt	δt	ADP
ejpam-6149	424	12	−b3	−b3	PROPN
ejpam-6149	424	13			PROPN
ejpam-6149	424	14	.	.	PUNCT
ejpam-6149	425	1	where	where	SCONJ
ejpam-6149	425	2	ai	ai	VERB
ejpam-6149	425	3	,	,	PUNCT
ejpam-6149	425	4	bi	bi	NOUN
ejpam-6149	425	5	,	,	PUNCT
ejpam-6149	425	6	ci	ci	PROPN
ejpam-6149	425	7	,	,	PUNCT
ejpam-6149	425	8	i	i	NOUN
ejpam-6149	425	9	=	=	NOUN
ejpam-6149	425	10	1	1	NUM
ejpam-6149	425	11	,	,	PUNCT
ejpam-6149	425	12	2	2	NUM
ejpam-6149	425	13	,	,	PUNCT
ejpam-6149	425	14	3	3	NUM
ejpam-6149	425	15	are	be	AUX
ejpam-6149	425	16	given	give	VERB
ejpam-6149	425	17	in	in	ADP
ejpam-6149	425	18	equations	equation	NOUN
ejpam-6149	425	19	5	5	NUM
ejpam-6149	425	20	,	,	PUNCT
ejpam-6149	425	21	8	8	NUM
ejpam-6149	425	22	,	,	PUNCT
ejpam-6149	425	23	and	and	CCONJ
ejpam-6149	425	24	10	10	NUM
ejpam-6149	425	25	,	,	PUNCT
ejpam-6149	425	26	respectively	respectively	ADV
ejpam-6149	425	27	.	.	PUNCT
ejpam-6149	426	1	then	then	ADV
ejpam-6149	426	2	,	,	PUNCT
ejpam-6149	426	3	az	az	PROPN
ejpam-6149	426	4	=	=	SYM
ejpam-6149	426	5			NOUN
ejpam-6149	426	6	(	(	PUNCT
ejpam-6149	426	7	βcω	βcω	NOUN
ejpam-6149	426	8	µ	µ	X
ejpam-6149	426	9	−a1	−a1	PROPN
ejpam-6149	426	10	)	)	PUNCT
ejpam-6149	426	11	ec	ec	PROPN
ejpam-6149	426	12	+	+	CCONJ
ejpam-6149	426	13	βcω	βcω	PROPN
ejpam-6149	426	14	µ	µ	PRON
ejpam-6149	426	15	ic	ic	NOUN
ejpam-6149	426	16	rcec	rcec	VERB
ejpam-6149	426	17	−a2ic	−a2ic	NUM
ejpam-6149	426	18	δeec	δeec	ADJ
ejpam-6149	426	19	+	+	CCONJ
ejpam-6149	426	20	δcic	δcic	VERB
ejpam-6149	426	21	−a3qc	−a3qc	NUM
ejpam-6149	426	22	+	+	NOUN
ejpam-6149	426	23	γctqct	γctqct	NOUN
ejpam-6149	426	24	−c1ect	−c1ect	NOUN
ejpam-6149	426	25	rctect	rctect	NOUN
ejpam-6149	426	26	−	−	PROPN
ejpam-6149	426	27	c2ict	c2ict	PROPN
ejpam-6149	426	28	δctict	δctict	NOUN
ejpam-6149	426	29	−	−	NOUN
ejpam-6149	426	30	c3qct	c3qct	NOUN
ejpam-6149	426	31	−b1et	−b1et	NUM
ejpam-6149	426	32	+	+	CCONJ
ejpam-6149	426	33	βtω	βtω	PROPN
ejpam-6149	426	34	µ	µ	X
ejpam-6149	426	35	it	it	PRON
ejpam-6149	426	36	rtet	rtet	NOUN
ejpam-6149	426	37	−b2it	−b2it	NUM
ejpam-6149	426	38	γtcqct	γtcqct	NOUN
ejpam-6149	426	39	+	+	CCONJ
ejpam-6149	426	40	δtit	δtit	NOUN
ejpam-6149	426	41	−b3qt	−b3qt	ADJ
ejpam-6149	426	42			PROPN
ejpam-6149	426	43	.	.	PUNCT
ejpam-6149	427	1	in	in	ADP
ejpam-6149	427	2	effect	effect	NOUN
ejpam-6149	427	3	,	,	PUNCT
ejpam-6149	427	4	ĝ(x	ĝ(x	NOUN
ejpam-6149	427	5	,	,	PUNCT
ejpam-6149	427	6	y	y	NOUN
ejpam-6149	427	7	)	)	PUNCT
ejpam-6149	427	8	=	=	SYM
ejpam-6149	427	9			NOUN
ejpam-6149	427	10	ĝ1(x	ĝ1(x	NOUN
ejpam-6149	427	11	,	,	PUNCT
ejpam-6149	427	12	y	y	NOUN
ejpam-6149	427	13	)	)	PUNCT
ejpam-6149	427	14	ĝ2(x	ĝ2(x	PROPN
ejpam-6149	427	15	,	,	PUNCT
ejpam-6149	427	16	y	y	PROPN
ejpam-6149	427	17	)	)	PUNCT
ejpam-6149	427	18	ĝ3(x	ĝ3(x	PROPN
ejpam-6149	427	19	,	,	PUNCT
ejpam-6149	427	20	y	y	PROPN
ejpam-6149	427	21	)	)	PUNCT
ejpam-6149	427	22	ĝ4(x	ĝ4(x	PROPN
ejpam-6149	427	23	,	,	PUNCT
ejpam-6149	427	24	y	y	PROPN
ejpam-6149	427	25	)	)	PUNCT
ejpam-6149	427	26	ĝ5(x	ĝ5(x	PROPN
ejpam-6149	427	27	,	,	PUNCT
ejpam-6149	427	28	y	y	PROPN
ejpam-6149	427	29	)	)	PUNCT
ejpam-6149	427	30	ĝ6(x	ĝ6(x	PROPN
ejpam-6149	427	31	,	,	PUNCT
ejpam-6149	427	32	y	y	PROPN
ejpam-6149	427	33	)	)	PUNCT
ejpam-6149	427	34	ĝ7(x	ĝ7(x	PROPN
ejpam-6149	427	35	,	,	PUNCT
ejpam-6149	427	36	y	y	NOUN
ejpam-6149	427	37	)	)	PUNCT
ejpam-6149	427	38	ĝ8(x	ĝ8(x	NOUN
ejpam-6149	427	39	,	,	PUNCT
ejpam-6149	427	40	y	y	PROPN
ejpam-6149	427	41	)	)	PUNCT
ejpam-6149	428	1	ĝ9(x	ĝ9(x	PROPN
ejpam-6149	428	2	,	,	PUNCT
ejpam-6149	428	3	y	y	PROPN
ejpam-6149	428	4	)	)	PUNCT
ejpam-6149	428	5			NOUN
ejpam-6149	428	6	=	=	PUNCT
ejpam-6149	428	7			VERB
ejpam-6149	428	8	βcω	βcω	NOUN
ejpam-6149	428	9	µ	µ	X
ejpam-6149	428	10	(	(	PUNCT
ejpam-6149	428	11	ec	ec	PROPN
ejpam-6149	428	12	+	+	CCONJ
ejpam-6149	428	13	ic)−	ic)−	PROPN
ejpam-6149	429	1	βc(ec	βc(ec	VERB
ejpam-6149	430	1	+	+	CCONJ
ejpam-6149	430	2	ic)s	ic)s	PROPN
ejpam-6149	430	3	+	+	CCONJ
ejpam-6149	430	4	αtβtitec	αtβtitec	ADJ
ejpam-6149	430	5	0	0	NUM
ejpam-6149	430	6	0	0	NUM
ejpam-6149	431	1	−αtβtec	−αtβtec	ADV
ejpam-6149	431	2	−	−	PROPN
ejpam-6149	431	3	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	431	4	+	+	CCONJ
ejpam-6149	431	5	ic)et	ic)et	NUM
ejpam-6149	431	6	0	0	NUM
ejpam-6149	431	7	0	0	NUM
ejpam-6149	431	8	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	431	9	+	+	CCONJ
ejpam-6149	431	10	ic)et	ic)et	NUM
ejpam-6149	431	11	0	0	NUM
ejpam-6149	431	12	0	0	NUM
ejpam-6149	431	13			PROPN
ejpam-6149	431	14	.	.	PUNCT
ejpam-6149	432	1	j.	j.	PROPN
ejpam-6149	432	2	puebla	puebla	PROPN
ejpam-6149	432	3	,	,	PUNCT
ejpam-6149	432	4	jm	jm	PROPN
ejpam-6149	432	5	.	.	PROPN
ejpam-6149	432	6	macalalag	macalalag	PROPN
ejpam-6149	432	7	,	,	PUNCT
ejpam-6149	432	8	k.	k.	PROPN
ejpam-6149	432	9	pajaron	pajaron	PROPN
ejpam-6149	432	10	/	/	SYM
ejpam-6149	432	11	eur	eur	PROPN
ejpam-6149	432	12	.	.	PUNCT
ejpam-6149	433	1	j.	j.	PROPN
ejpam-6149	433	2	pure	pure	PROPN
ejpam-6149	433	3	appl	appl	PROPN
ejpam-6149	433	4	.	.	PROPN
ejpam-6149	433	5	math	math	PROPN
ejpam-6149	433	6	,	,	PUNCT
ejpam-6149	433	7	18	18	NUM
ejpam-6149	433	8	(	(	PUNCT
ejpam-6149	433	9	3	3	NUM
ejpam-6149	433	10	)	)	PUNCT
ejpam-6149	433	11	(	(	PUNCT
ejpam-6149	433	12	2025	2025	NUM
ejpam-6149	433	13	)	)	PUNCT
ejpam-6149	433	14	,	,	PUNCT
ejpam-6149	433	15	6149	6149	NUM
ejpam-6149	433	16	20	20	NUM
ejpam-6149	433	17	of	of	ADP
ejpam-6149	433	18	28	28	NUM
ejpam-6149	433	19	observe	observe	VERB
ejpam-6149	433	20	that	that	SCONJ
ejpam-6149	433	21	ĝ5(x	ĝ5(x	NOUN
ejpam-6149	433	22	,	,	PUNCT
ejpam-6149	433	23	y	y	PROPN
ejpam-6149	433	24	)	)	PUNCT
ejpam-6149	433	25	=	=	PUNCT
ejpam-6149	434	1	−αtβtec	−αtβtec	ADV
ejpam-6149	434	2	−	−	X
ejpam-6149	434	3	αcβc(ec	αcβc(ec	NOUN
ejpam-6149	434	4	+	+	CCONJ
ejpam-6149	434	5	ic)et	ic)et	NUM
ejpam-6149	434	6	<	<	X
ejpam-6149	434	7	0	0	NUM
ejpam-6149	434	8	,	,	PUNCT
ejpam-6149	434	9	which	which	PRON
ejpam-6149	434	10	means	mean	VERB
ejpam-6149	434	11	that	that	SCONJ
ejpam-6149	434	12	the	the	DET
ejpam-6149	434	13	condition	condition	NOUN
ejpam-6149	434	14	2	2	NUM
ejpam-6149	434	15	is	be	AUX
ejpam-6149	434	16	not	not	PART
ejpam-6149	434	17	satisfied	satisfied	ADJ
ejpam-6149	434	18	.	.	PUNCT
ejpam-6149	435	1	therefore	therefore	ADV
ejpam-6149	435	2	,	,	PUNCT
ejpam-6149	435	3	the	the	DET
ejpam-6149	435	4	co	co	NOUN
ejpam-6149	435	5	-	-	ADJ
ejpam-6149	435	6	infection	infection	ADJ
ejpam-6149	435	7	model	model	NOUN
ejpam-6149	435	8	may	may	AUX
ejpam-6149	435	9	not	not	PART
ejpam-6149	435	10	be	be	AUX
ejpam-6149	435	11	globally	globally	ADV
ejpam-6149	435	12	asymptotically	asymptotically	ADV
ejpam-6149	435	13	stable	stable	ADJ
ejpam-6149	435	14	at	at	ADP
ejpam-6149	435	15	the	the	DET
ejpam-6149	435	16	disease	disease	NOUN
ejpam-6149	435	17	-	-	PUNCT
ejpam-6149	435	18	free	free	ADJ
ejpam-6149	435	19	equilibrium	equilibrium	NOUN
ejpam-6149	435	20	e0ct	e0ct	X
ejpam-6149	435	21	.	.	PUNCT
ejpam-6149	436	1	4	4	X
ejpam-6149	436	2	.	.	X
ejpam-6149	436	3	simulation	simulation	NOUN
ejpam-6149	436	4	in	in	ADP
ejpam-6149	436	5	the	the	DET
ejpam-6149	436	6	preceding	precede	VERB
ejpam-6149	436	7	sections	section	NOUN
ejpam-6149	436	8	,	,	PUNCT
ejpam-6149	436	9	we	we	PRON
ejpam-6149	436	10	examined	examine	VERB
ejpam-6149	436	11	the	the	DET
ejpam-6149	436	12	stability	stability	NOUN
ejpam-6149	436	13	behaviors	behavior	NOUN
ejpam-6149	436	14	of	of	ADP
ejpam-6149	436	15	the	the	DET
ejpam-6149	436	16	sub	sub	NOUN
ejpam-6149	436	17	-	-	NOUN
ejpam-6149	436	18	models	model	NOUN
ejpam-6149	436	19	(	(	PUNCT
ejpam-6149	436	20	2	2	NUM
ejpam-6149	436	21	)	)	PUNCT
ejpam-6149	436	22	and	and	CCONJ
ejpam-6149	436	23	(	(	PUNCT
ejpam-6149	436	24	7	7	NUM
ejpam-6149	436	25	)	)	PUNCT
ejpam-6149	436	26	,	,	PUNCT
ejpam-6149	436	27	as	as	ADV
ejpam-6149	436	28	well	well	ADV
ejpam-6149	436	29	as	as	ADP
ejpam-6149	436	30	the	the	DET
ejpam-6149	436	31	co	co	NOUN
ejpam-6149	436	32	-	-	NOUN
ejpam-6149	436	33	infection	infection	ADJ
ejpam-6149	436	34	model	model	NOUN
ejpam-6149	436	35	(	(	PUNCT
ejpam-6149	436	36	1	1	NUM
ejpam-6149	436	37	)	)	PUNCT
ejpam-6149	436	38	.	.	PUNCT
ejpam-6149	437	1	in	in	ADP
ejpam-6149	437	2	this	this	DET
ejpam-6149	437	3	section	section	NOUN
ejpam-6149	437	4	,	,	PUNCT
ejpam-6149	437	5	we	we	PRON
ejpam-6149	437	6	present	present	VERB
ejpam-6149	437	7	numerical	numerical	ADJ
ejpam-6149	437	8	simulations	simulation	NOUN
ejpam-6149	437	9	to	to	PART
ejpam-6149	437	10	illustrate	illustrate	VERB
ejpam-6149	437	11	the	the	DET
ejpam-6149	437	12	theoretical	theoretical	ADJ
ejpam-6149	437	13	findings	finding	NOUN
ejpam-6149	437	14	.	.	PUNCT
ejpam-6149	438	1	the	the	DET
ejpam-6149	438	2	parameter	parameter	NOUN
ejpam-6149	438	3	values	value	NOUN
ejpam-6149	438	4	utilized	utilize	VERB
ejpam-6149	438	5	in	in	ADP
ejpam-6149	438	6	these	these	DET
ejpam-6149	438	7	simulations	simulation	NOUN
ejpam-6149	438	8	are	be	AUX
ejpam-6149	438	9	provided	provide	VERB
ejpam-6149	438	10	in	in	ADP
ejpam-6149	438	11	table	table	NOUN
ejpam-6149	438	12	1	1	NUM
ejpam-6149	438	13	.	.	ADP
ejpam-6149	438	14	4.1	4.1	NUM
ejpam-6149	438	15	.	.	PUNCT
ejpam-6149	439	1	numerical	numerical	PROPN
ejpam-6149	439	2	simulation	simulation	PROPN
ejpam-6149	439	3	of	of	ADP
ejpam-6149	439	4	the	the	DET
ejpam-6149	439	5	covid-19	covid-19	PROPN
ejpam-6149	439	6	sub	sub	ADJ
ejpam-6149	439	7	-	-	ADJ
ejpam-6149	439	8	model	model	ADJ
ejpam-6149	439	9	simulation	simulation	NOUN
ejpam-6149	439	10	1	1	NUM
ejpam-6149	439	11	.	.	PUNCT
ejpam-6149	440	1	the	the	DET
ejpam-6149	440	2	given	give	VERB
ejpam-6149	440	3	parameter	parameter	NOUN
ejpam-6149	440	4	values	value	NOUN
ejpam-6149	440	5	are	be	AUX
ejpam-6149	440	6	based	base	VERB
ejpam-6149	440	7	on	on	ADP
ejpam-6149	440	8	table	table	NOUN
ejpam-6149	440	9	1	1	NUM
ejpam-6149	440	10	,	,	PUNCT
ejpam-6149	440	11	ω	ω	NOUN
ejpam-6149	440	12	=	=	SYM
ejpam-6149	440	13	3	3	NUM
ejpam-6149	440	14	,	,	PUNCT
ejpam-6149	440	15	δe	δe	ADP
ejpam-6149	440	16	=	=	NOUN
ejpam-6149	440	17	0.74	0.74	NUM
ejpam-6149	440	18	,	,	PUNCT
ejpam-6149	440	19	and	and	CCONJ
ejpam-6149	440	20	δc	δc	X
ejpam-6149	440	21	=	=	NOUN
ejpam-6149	440	22	0.78	0.78	NUM
ejpam-6149	440	23	.	.	PUNCT
ejpam-6149	441	1	subsequently	subsequently	ADV
ejpam-6149	441	2	,	,	PUNCT
ejpam-6149	441	3	we	we	PRON
ejpam-6149	441	4	obtain	obtain	VERB
ejpam-6149	441	5	r0c	r0c	NOUN
ejpam-6149	441	6	=	=	SYM
ejpam-6149	441	7	0.9922	0.9922	NUM
ejpam-6149	441	8	and	and	CCONJ
ejpam-6149	441	9	the	the	DET
ejpam-6149	441	10	disease	disease	NOUN
ejpam-6149	441	11	-	-	PUNCT
ejpam-6149	441	12	free	free	ADJ
ejpam-6149	441	13	equilibrium	equilibrium	NOUN
ejpam-6149	441	14	is	be	AUX
ejpam-6149	441	15	e0c	e0c	ADJ
ejpam-6149	441	16	=	=	SYM
ejpam-6149	441	17	(	(	PUNCT
ejpam-6149	441	18	63	63	NUM
ejpam-6149	441	19	,	,	PUNCT
ejpam-6149	441	20	0	0	NUM
ejpam-6149	441	21	,	,	PUNCT
ejpam-6149	441	22	0	0	NUM
ejpam-6149	441	23	,	,	PUNCT
ejpam-6149	441	24	0	0	NUM
ejpam-6149	441	25	)	)	PUNCT
ejpam-6149	441	26	.	.	PUNCT
ejpam-6149	442	1	we	we	PRON
ejpam-6149	442	2	take	take	VERB
ejpam-6149	442	3	the	the	DET
ejpam-6149	442	4	following	following	ADJ
ejpam-6149	442	5	initial	initial	ADJ
ejpam-6149	442	6	conditions	condition	NOUN
ejpam-6149	442	7	of	of	ADP
ejpam-6149	442	8	the	the	DET
ejpam-6149	442	9	compartments	compartment	NOUN
ejpam-6149	442	10	of	of	ADP
ejpam-6149	442	11	the	the	DET
ejpam-6149	442	12	covid-19	covid-19	PROPN
ejpam-6149	442	13	sub	sub	NOUN
ejpam-6149	442	14	-	-	NOUN
ejpam-6149	442	15	model	model	NOUN
ejpam-6149	442	16	:	:	PUNCT
ejpam-6149	442	17	a.	a.	NOUN
ejpam-6149	442	18	(	(	PUNCT
ejpam-6149	442	19	100,70,45,35	100,70,45,35	NUM
ejpam-6149	442	20	)	)	PUNCT
ejpam-6149	442	21	,	,	PUNCT
ejpam-6149	442	22	b.	b.	PROPN
ejpam-6149	442	23	(	(	PUNCT
ejpam-6149	442	24	80,135,105,47	80,135,105,47	NUM
ejpam-6149	442	25	)	)	PUNCT
ejpam-6149	442	26	,	,	PUNCT
ejpam-6149	442	27	c.	c.	PROPN
ejpam-6149	442	28	(	(	PUNCT
ejpam-6149	442	29	75,87,38,52	75,87,38,52	NUM
ejpam-6149	442	30	)	)	PUNCT
ejpam-6149	442	31	,	,	PUNCT
ejpam-6149	442	32	and	and	CCONJ
ejpam-6149	442	33	d.	d.	PROPN
ejpam-6149	442	34	(	(	PUNCT
ejpam-6149	442	35	240,87,213,97	240,87,213,97	NOUN
ejpam-6149	442	36	)	)	PUNCT
ejpam-6149	442	37	.	.	PUNCT
ejpam-6149	443	1	figure	figure	VERB
ejpam-6149	443	2	4	4	NUM
ejpam-6149	443	3	shows	show	VERB
ejpam-6149	443	4	that	that	SCONJ
ejpam-6149	443	5	for	for	ADP
ejpam-6149	443	6	different	different	ADJ
ejpam-6149	443	7	initial	initial	ADJ
ejpam-6149	443	8	conditions	condition	NOUN
ejpam-6149	443	9	,	,	PUNCT
ejpam-6149	443	10	the	the	DET
ejpam-6149	443	11	lines	line	NOUN
ejpam-6149	443	12	of	of	ADP
ejpam-6149	443	13	the	the	DET
ejpam-6149	443	14	solutions	solution	NOUN
ejpam-6149	443	15	converge	converge	VERB
ejpam-6149	443	16	to	to	ADP
ejpam-6149	443	17	e0c	e0c	PROPN
ejpam-6149	443	18	=	=	SYM
ejpam-6149	443	19	(	(	PUNCT
ejpam-6149	443	20	63	63	NUM
ejpam-6149	443	21	,	,	PUNCT
ejpam-6149	443	22	0	0	NUM
ejpam-6149	443	23	,	,	PUNCT
ejpam-6149	443	24	0	0	NUM
ejpam-6149	443	25	,	,	PUNCT
ejpam-6149	443	26	0	0	NUM
ejpam-6149	443	27	)	)	PUNCT
ejpam-6149	443	28	.	.	PUNCT
ejpam-6149	444	1	it	it	PRON
ejpam-6149	444	2	implies	imply	VERB
ejpam-6149	444	3	that	that	SCONJ
ejpam-6149	444	4	the	the	DET
ejpam-6149	444	5	covid-19	covid-19	PROPN
ejpam-6149	444	6	sub	sub	NOUN
ejpam-6149	444	7	-	-	NOUN
ejpam-6149	444	8	model	model	NOUN
ejpam-6149	444	9	is	be	AUX
ejpam-6149	444	10	locally	locally	ADV
ejpam-6149	444	11	asymptotically	asymptotically	ADV
ejpam-6149	444	12	stable	stable	ADJ
ejpam-6149	444	13	at	at	ADP
ejpam-6149	444	14	the	the	DET
ejpam-6149	444	15	disease	disease	NOUN
ejpam-6149	444	16	-	-	PUNCT
ejpam-6149	444	17	free	free	ADJ
ejpam-6149	444	18	equilibrium	equilibrium	NOUN
ejpam-6149	444	19	when	when	SCONJ
ejpam-6149	444	20	r0c	r0c	VERB
ejpam-6149	444	21	<	<	X
ejpam-6149	444	22	1	1	NUM
ejpam-6149	444	23	.	.	X
ejpam-6149	444	24	figure	figure	NOUN
ejpam-6149	444	25	4	4	NUM
ejpam-6149	444	26	:	:	PUNCT
ejpam-6149	444	27	(	(	PUNCT
ejpam-6149	444	28	simulation	simulation	NOUN
ejpam-6149	444	29	1	1	NUM
ejpam-6149	444	30	)	)	PUNCT
ejpam-6149	444	31	the	the	DET
ejpam-6149	444	32	covid-19	covid-19	PROPN
ejpam-6149	444	33	sub	sub	NOUN
ejpam-6149	444	34	-	-	NOUN
ejpam-6149	444	35	model	model	NOUN
ejpam-6149	444	36	is	be	AUX
ejpam-6149	444	37	locally	locally	ADV
ejpam-6149	444	38	asymptotically	asymptotically	ADV
ejpam-6149	444	39	stable	stable	ADJ
ejpam-6149	444	40	at	at	ADP
ejpam-6149	444	41	e0c	e0c	NOUN
ejpam-6149	444	42	when	when	SCONJ
ejpam-6149	444	43	r0c	r0c	VERB
ejpam-6149	444	44	<	<	X
ejpam-6149	444	45	1	1	NUM
ejpam-6149	444	46	.	.	PUNCT
ejpam-6149	444	47	j.	j.	PROPN
ejpam-6149	444	48	puebla	puebla	PROPN
ejpam-6149	444	49	,	,	PUNCT
ejpam-6149	444	50	jm	jm	PROPN
ejpam-6149	444	51	.	.	PROPN
ejpam-6149	444	52	macalalag	macalalag	PROPN
ejpam-6149	444	53	,	,	PUNCT
ejpam-6149	444	54	k.	k.	PROPN
ejpam-6149	444	55	pajaron	pajaron	PROPN
ejpam-6149	444	56	/	/	SYM
ejpam-6149	444	57	eur	eur	PROPN
ejpam-6149	444	58	.	.	PUNCT
ejpam-6149	445	1	j.	j.	PROPN
ejpam-6149	445	2	pure	pure	PROPN
ejpam-6149	445	3	appl	appl	PROPN
ejpam-6149	445	4	.	.	PROPN
ejpam-6149	445	5	math	math	PROPN
ejpam-6149	445	6	,	,	PUNCT
ejpam-6149	445	7	18	18	NUM
ejpam-6149	445	8	(	(	PUNCT
ejpam-6149	445	9	3	3	NUM
ejpam-6149	445	10	)	)	PUNCT
ejpam-6149	445	11	(	(	PUNCT
ejpam-6149	445	12	2025	2025	NUM
ejpam-6149	445	13	)	)	PUNCT
ejpam-6149	445	14	,	,	PUNCT
ejpam-6149	445	15	6149	6149	NUM
ejpam-6149	445	16	21	21	NUM
ejpam-6149	445	17	of	of	ADP
ejpam-6149	445	18	28	28	NUM
ejpam-6149	445	19	simulation	simulation	NOUN
ejpam-6149	445	20	2	2	NUM
ejpam-6149	445	21	.	.	PUNCT
ejpam-6149	445	22	consider	consider	VERB
ejpam-6149	445	23	the	the	DET
ejpam-6149	445	24	same	same	ADJ
ejpam-6149	445	25	parameter	parameter	NOUN
ejpam-6149	445	26	values	value	NOUN
ejpam-6149	445	27	as	as	ADP
ejpam-6149	445	28	in	in	ADP
ejpam-6149	445	29	simulation	simulation	NOUN
ejpam-6149	445	30	1	1	NUM
ejpam-6149	445	31	,	,	PUNCT
ejpam-6149	445	32	except	except	SCONJ
ejpam-6149	445	33	for	for	ADP
ejpam-6149	445	34	the	the	DET
ejpam-6149	445	35	decreased	decrease	VERB
ejpam-6149	445	36	values	value	NOUN
ejpam-6149	445	37	of	of	ADP
ejpam-6149	445	38	δe	δe	NOUN
ejpam-6149	445	39	=	=	NOUN
ejpam-6149	445	40	0.24	0.24	NUM
ejpam-6149	445	41	and	and	CCONJ
ejpam-6149	445	42	δc	δc	NOUN
ejpam-6149	445	43	=	=	NOUN
ejpam-6149	445	44	0.31	0.31	NUM
ejpam-6149	445	45	.	.	PUNCT
ejpam-6149	446	1	as	as	ADP
ejpam-6149	446	2	a	a	DET
ejpam-6149	446	3	result	result	NOUN
ejpam-6149	446	4	,	,	PUNCT
ejpam-6149	446	5	r0c	r0c	NOUN
ejpam-6149	446	6	becomes	become	VERB
ejpam-6149	446	7	4.0117	4.0117	NUM
ejpam-6149	446	8	,	,	PUNCT
ejpam-6149	446	9	and	and	CCONJ
ejpam-6149	446	10	the	the	DET
ejpam-6149	446	11	disease	disease	NOUN
ejpam-6149	446	12	-	-	PUNCT
ejpam-6149	446	13	free	free	ADJ
ejpam-6149	446	14	equilibrium	equilibrium	NOUN
ejpam-6149	446	15	remains	remain	VERB
ejpam-6149	446	16	unchanged	unchanged	ADJ
ejpam-6149	446	17	at	at	ADP
ejpam-6149	446	18	e0c	e0c	ADJ
ejpam-6149	446	19	=	=	SYM
ejpam-6149	446	20	(	(	PUNCT
ejpam-6149	446	21	63	63	NUM
ejpam-6149	446	22	,	,	PUNCT
ejpam-6149	446	23	0	0	NUM
ejpam-6149	446	24	,	,	PUNCT
ejpam-6149	446	25	0	0	NUM
ejpam-6149	446	26	,	,	PUNCT
ejpam-6149	446	27	0	0	NUM
ejpam-6149	446	28	)	)	PUNCT
ejpam-6149	446	29	.	.	PUNCT
ejpam-6149	447	1	by	by	ADP
ejpam-6149	447	2	using	use	VERB
ejpam-6149	447	3	the	the	DET
ejpam-6149	447	4	same	same	ADJ
ejpam-6149	447	5	initial	initial	ADJ
ejpam-6149	447	6	conditions	condition	NOUN
ejpam-6149	447	7	as	as	ADP
ejpam-6149	447	8	in	in	ADP
ejpam-6149	447	9	simulation	simulation	NOUN
ejpam-6149	447	10	1	1	NUM
ejpam-6149	447	11	,	,	PUNCT
ejpam-6149	447	12	we	we	PRON
ejpam-6149	447	13	observe	observe	VERB
ejpam-6149	447	14	from	from	ADP
ejpam-6149	447	15	figure	figure	NOUN
ejpam-6149	447	16	5	5	NUM
ejpam-6149	447	17	that	that	SCONJ
ejpam-6149	447	18	the	the	DET
ejpam-6149	447	19	lines	line	NOUN
ejpam-6149	447	20	of	of	ADP
ejpam-6149	447	21	the	the	DET
ejpam-6149	447	22	solutions	solution	NOUN
ejpam-6149	447	23	do	do	AUX
ejpam-6149	447	24	not	not	PART
ejpam-6149	447	25	converge	converge	VERB
ejpam-6149	447	26	to	to	ADP
ejpam-6149	447	27	e0c	e0c	PROPN
ejpam-6149	447	28	=	=	SYM
ejpam-6149	447	29	(	(	PUNCT
ejpam-6149	447	30	63	63	NUM
ejpam-6149	447	31	,	,	PUNCT
ejpam-6149	447	32	0	0	NUM
ejpam-6149	447	33	,	,	PUNCT
ejpam-6149	447	34	0	0	NUM
ejpam-6149	447	35	,	,	PUNCT
ejpam-6149	447	36	0	0	NUM
ejpam-6149	447	37	)	)	PUNCT
ejpam-6149	447	38	.	.	PUNCT
ejpam-6149	448	1	this	this	PRON
ejpam-6149	448	2	indicates	indicate	VERB
ejpam-6149	448	3	that	that	SCONJ
ejpam-6149	448	4	the	the	DET
ejpam-6149	448	5	covid-19	covid-19	PROPN
ejpam-6149	448	6	sub	sub	NOUN
ejpam-6149	448	7	-	-	NOUN
ejpam-6149	448	8	model	model	NOUN
ejpam-6149	448	9	is	be	AUX
ejpam-6149	448	10	unstable	unstable	ADJ
ejpam-6149	448	11	at	at	ADP
ejpam-6149	448	12	the	the	DET
ejpam-6149	448	13	disease	disease	NOUN
ejpam-6149	448	14	-	-	PUNCT
ejpam-6149	448	15	free	free	ADJ
ejpam-6149	448	16	equilibrium	equilibrium	NOUN
ejpam-6149	448	17	when	when	SCONJ
ejpam-6149	448	18	r0c	r0c	VERB
ejpam-6149	448	19	>	>	X
ejpam-6149	448	20	1	1	X
ejpam-6149	448	21	.	.	PUNCT
ejpam-6149	449	1	moreover	moreover	ADV
ejpam-6149	449	2	,	,	PUNCT
ejpam-6149	449	3	since	since	SCONJ
ejpam-6149	449	4	we	we	PRON
ejpam-6149	449	5	have	have	AUX
ejpam-6149	449	6	obtained	obtain	VERB
ejpam-6149	449	7	r0c	r0c	NOUN
ejpam-6149	449	8	=	=	SYM
ejpam-6149	449	9	4.0117	4.0117	NUM
ejpam-6149	449	10	and	and	CCONJ
ejpam-6149	449	11	the	the	DET
ejpam-6149	449	12	endemic	endemic	ADJ
ejpam-6149	449	13	equilibrium	equilibrium	NOUN
ejpam-6149	449	14	point	point	NOUN
ejpam-6149	449	15	e1c	e1c	ADV
ejpam-6149	449	16	=	=	PUNCT
ejpam-6149	449	17	(	(	PUNCT
ejpam-6149	449	18	23	23	NUM
ejpam-6149	449	19	,	,	PUNCT
ejpam-6149	449	20	4	4	NUM
ejpam-6149	449	21	,	,	PUNCT
ejpam-6149	449	22	3	3	NUM
ejpam-6149	449	23	,	,	PUNCT
ejpam-6149	449	24	5	5	NUM
ejpam-6149	449	25	)	)	PUNCT
ejpam-6149	449	26	now	now	ADV
ejpam-6149	449	27	exists	exist	VERB
ejpam-6149	449	28	,	,	PUNCT
ejpam-6149	449	29	we	we	PRON
ejpam-6149	449	30	can	can	AUX
ejpam-6149	449	31	observe	observe	VERB
ejpam-6149	449	32	that	that	SCONJ
ejpam-6149	449	33	the	the	DET
ejpam-6149	449	34	lines	line	NOUN
ejpam-6149	449	35	of	of	ADP
ejpam-6149	449	36	the	the	DET
ejpam-6149	449	37	solutions	solution	NOUN
ejpam-6149	449	38	converge	converge	VERB
ejpam-6149	449	39	to	to	ADP
ejpam-6149	449	40	e1c	e1c	ADV
ejpam-6149	449	41	=	=	SYM
ejpam-6149	449	42	(	(	PUNCT
ejpam-6149	449	43	23	23	NUM
ejpam-6149	449	44	,	,	PUNCT
ejpam-6149	449	45	4	4	NUM
ejpam-6149	449	46	,	,	PUNCT
ejpam-6149	449	47	3	3	NUM
ejpam-6149	449	48	,	,	PUNCT
ejpam-6149	449	49	5	5	NUM
ejpam-6149	449	50	)	)	PUNCT
ejpam-6149	449	51	.	.	PUNCT
ejpam-6149	450	1	therefore	therefore	ADV
ejpam-6149	450	2	,	,	PUNCT
ejpam-6149	450	3	the	the	DET
ejpam-6149	450	4	covid-19	covid-19	PROPN
ejpam-6149	450	5	sub	sub	NOUN
ejpam-6149	450	6	-	-	NOUN
ejpam-6149	450	7	model	model	NOUN
ejpam-6149	450	8	is	be	AUX
ejpam-6149	450	9	locally	locally	ADV
ejpam-6149	450	10	asymptotically	asymptotically	ADV
ejpam-6149	450	11	stable	stable	ADJ
ejpam-6149	450	12	at	at	ADP
ejpam-6149	450	13	the	the	DET
ejpam-6149	450	14	endemic	endemic	ADJ
ejpam-6149	450	15	point	point	NOUN
ejpam-6149	450	16	whenever	whenever	SCONJ
ejpam-6149	450	17	r0c	r0c	VERB
ejpam-6149	450	18	>	>	X
ejpam-6149	450	19	1	1	X
ejpam-6149	450	20	.	.	PUNCT
ejpam-6149	450	21	figures	figure	NOUN
ejpam-6149	450	22	4	4	NUM
ejpam-6149	450	23	and	and	CCONJ
ejpam-6149	450	24	5	5	NUM
ejpam-6149	450	25	illustrate	illustrate	VERB
ejpam-6149	450	26	the	the	DET
ejpam-6149	450	27	effect	effect	NOUN
ejpam-6149	450	28	of	of	ADP
ejpam-6149	450	29	quarantine	quarantine	NOUN
ejpam-6149	450	30	measures	measure	NOUN
ejpam-6149	450	31	in	in	ADP
ejpam-6149	450	32	the	the	DET
ejpam-6149	450	33	covid-19	covid-19	PROPN
ejpam-6149	450	34	sub	sub	NOUN
ejpam-6149	450	35	-	-	NOUN
ejpam-6149	450	36	model	model	ADJ
ejpam-6149	450	37	(	(	PUNCT
ejpam-6149	450	38	2	2	NUM
ejpam-6149	450	39	)	)	PUNCT
ejpam-6149	450	40	.	.	PUNCT
ejpam-6149	451	1	the	the	DET
ejpam-6149	451	2	findings	finding	NOUN
ejpam-6149	451	3	indicate	indicate	VERB
ejpam-6149	451	4	that	that	SCONJ
ejpam-6149	451	5	when	when	SCONJ
ejpam-6149	451	6	the	the	DET
ejpam-6149	451	7	intensity	intensity	NOUN
ejpam-6149	451	8	of	of	ADP
ejpam-6149	451	9	quarantine	quarantine	NOUN
ejpam-6149	451	10	measures	measure	NOUN
ejpam-6149	451	11	is	be	AUX
ejpam-6149	451	12	low	low	ADJ
ejpam-6149	451	13	,	,	PUNCT
ejpam-6149	451	14	exposed	expose	VERB
ejpam-6149	451	15	and	and	CCONJ
ejpam-6149	451	16	infected	infect	VERB
ejpam-6149	451	17	individuals	individual	NOUN
ejpam-6149	451	18	with	with	ADP
ejpam-6149	451	19	covid-19	covid-19	PROPN
ejpam-6149	451	20	continue	continue	VERB
ejpam-6149	451	21	to	to	PART
ejpam-6149	451	22	transmit	transmit	VERB
ejpam-6149	451	23	the	the	DET
ejpam-6149	451	24	disease	disease	NOUN
ejpam-6149	451	25	to	to	ADP
ejpam-6149	451	26	susceptible	susceptible	ADJ
ejpam-6149	451	27	individuals	individual	NOUN
ejpam-6149	451	28	.	.	PUNCT
ejpam-6149	452	1	as	as	ADP
ejpam-6149	452	2	a	a	DET
ejpam-6149	452	3	result	result	NOUN
ejpam-6149	452	4	,	,	PUNCT
ejpam-6149	452	5	the	the	DET
ejpam-6149	452	6	number	number	NOUN
ejpam-6149	452	7	of	of	ADP
ejpam-6149	452	8	exposed	expose	VERB
ejpam-6149	452	9	and	and	CCONJ
ejpam-6149	452	10	infected	infected	ADJ
ejpam-6149	452	11	cases	case	NOUN
ejpam-6149	452	12	increases	increase	NOUN
ejpam-6149	452	13	.	.	PUNCT
ejpam-6149	453	1	as	as	SCONJ
ejpam-6149	453	2	observed	observe	VERB
ejpam-6149	453	3	in	in	ADP
ejpam-6149	453	4	figure	figure	NOUN
ejpam-6149	453	5	4	4	NUM
ejpam-6149	453	6	,	,	PUNCT
ejpam-6149	453	7	the	the	DET
ejpam-6149	453	8	number	number	NOUN
ejpam-6149	453	9	of	of	ADP
ejpam-6149	453	10	susceptible	susceptible	ADJ
ejpam-6149	453	11	individuals	individual	NOUN
ejpam-6149	453	12	remains	remain	VERB
ejpam-6149	453	13	higher	high	ADJ
ejpam-6149	453	14	than	than	ADP
ejpam-6149	453	15	that	that	PRON
ejpam-6149	453	16	of	of	ADP
ejpam-6149	453	17	exposed	expose	VERB
ejpam-6149	453	18	and	and	CCONJ
ejpam-6149	453	19	infected	infect	VERB
ejpam-6149	453	20	individuals	individual	NOUN
ejpam-6149	453	21	when	when	SCONJ
ejpam-6149	453	22	the	the	DET
ejpam-6149	453	23	quarantine	quarantine	NOUN
ejpam-6149	453	24	measure	measure	NOUN
ejpam-6149	453	25	is	be	AUX
ejpam-6149	453	26	stringent	stringent	ADJ
ejpam-6149	453	27	,	,	PUNCT
ejpam-6149	453	28	suggesting	suggest	VERB
ejpam-6149	453	29	that	that	SCONJ
ejpam-6149	453	30	quarantine	quarantine	NOUN
ejpam-6149	453	31	measures	measure	NOUN
ejpam-6149	453	32	effectively	effectively	ADV
ejpam-6149	453	33	reduce	reduce	VERB
ejpam-6149	453	34	the	the	DET
ejpam-6149	453	35	spread	spread	NOUN
ejpam-6149	453	36	of	of	ADP
ejpam-6149	453	37	infection	infection	NOUN
ejpam-6149	453	38	.	.	PUNCT
ejpam-6149	454	1	furthermore	furthermore	ADV
ejpam-6149	454	2	,	,	PUNCT
ejpam-6149	454	3	figure	figure	VERB
ejpam-6149	454	4	4	4	NUM
ejpam-6149	454	5	shows	show	VERB
ejpam-6149	454	6	that	that	SCONJ
ejpam-6149	454	7	the	the	DET
ejpam-6149	454	8	number	number	NOUN
ejpam-6149	454	9	of	of	ADP
ejpam-6149	454	10	exposed	expose	VERB
ejpam-6149	454	11	and	and	CCONJ
ejpam-6149	454	12	infected	infect	VERB
ejpam-6149	454	13	individuals	individual	NOUN
ejpam-6149	454	14	approaches	approach	VERB
ejpam-6149	454	15	zero	zero	NUM
ejpam-6149	454	16	,	,	PUNCT
ejpam-6149	454	17	indicating	indicate	VERB
ejpam-6149	454	18	widespread	widespread	ADJ
ejpam-6149	454	19	compliance	compliance	NOUN
ejpam-6149	454	20	with	with	ADP
ejpam-6149	454	21	quarantine	quarantine	NOUN
ejpam-6149	454	22	protocols	protocol	NOUN
ejpam-6149	454	23	.	.	PUNCT
ejpam-6149	455	1	consequently	consequently	ADV
ejpam-6149	455	2	,	,	PUNCT
ejpam-6149	455	3	the	the	DET
ejpam-6149	455	4	disease	disease	NOUN
ejpam-6149	455	5	will	will	AUX
ejpam-6149	455	6	eventually	eventually	ADV
ejpam-6149	455	7	be	be	AUX
ejpam-6149	455	8	eradicated	eradicate	VERB
ejpam-6149	455	9	within	within	ADP
ejpam-6149	455	10	the	the	DET
ejpam-6149	455	11	community	community	NOUN
ejpam-6149	455	12	over	over	ADP
ejpam-6149	455	13	time	time	NOUN
ejpam-6149	455	14	.	.	PUNCT
ejpam-6149	456	1	figure	figure	VERB
ejpam-6149	456	2	5	5	NUM
ejpam-6149	456	3	:	:	PUNCT
ejpam-6149	456	4	(	(	PUNCT
ejpam-6149	456	5	simulation	simulation	NOUN
ejpam-6149	456	6	2	2	NUM
ejpam-6149	456	7	)	)	PUNCT
ejpam-6149	456	8	the	the	DET
ejpam-6149	456	9	covid-19	covid-19	PROPN
ejpam-6149	456	10	sub	sub	NOUN
ejpam-6149	456	11	-	-	NOUN
ejpam-6149	456	12	model	model	NOUN
ejpam-6149	456	13	is	be	AUX
ejpam-6149	456	14	locally	locally	ADV
ejpam-6149	456	15	asymptotically	asymptotically	ADV
ejpam-6149	456	16	stable	stable	ADJ
ejpam-6149	456	17	at	at	ADP
ejpam-6149	456	18	e1c	e1c	ADV
ejpam-6149	456	19	when	when	SCONJ
ejpam-6149	456	20	r0c	r0c	VERB
ejpam-6149	456	21	>	>	X
ejpam-6149	456	22	1	1	X
ejpam-6149	456	23	.	.	PUNCT
ejpam-6149	457	1	j.	j.	PROPN
ejpam-6149	457	2	puebla	puebla	PROPN
ejpam-6149	457	3	,	,	PUNCT
ejpam-6149	457	4	jm	jm	PROPN
ejpam-6149	457	5	.	.	PROPN
ejpam-6149	457	6	macalalag	macalalag	PROPN
ejpam-6149	457	7	,	,	PUNCT
ejpam-6149	457	8	k.	k.	PROPN
ejpam-6149	457	9	pajaron	pajaron	PROPN
ejpam-6149	457	10	/	/	SYM
ejpam-6149	457	11	eur	eur	PROPN
ejpam-6149	457	12	.	.	PUNCT
ejpam-6149	458	1	j.	j.	PROPN
ejpam-6149	458	2	pure	pure	PROPN
ejpam-6149	458	3	appl	appl	PROPN
ejpam-6149	458	4	.	.	PROPN
ejpam-6149	458	5	math	math	PROPN
ejpam-6149	458	6	,	,	PUNCT
ejpam-6149	458	7	18	18	NUM
ejpam-6149	458	8	(	(	PUNCT
ejpam-6149	458	9	3	3	NUM
ejpam-6149	458	10	)	)	PUNCT
ejpam-6149	458	11	(	(	PUNCT
ejpam-6149	458	12	2025	2025	NUM
ejpam-6149	458	13	)	)	PUNCT
ejpam-6149	458	14	,	,	PUNCT
ejpam-6149	458	15	6149	6149	NUM
ejpam-6149	458	16	22	22	NUM
ejpam-6149	458	17	of	of	ADP
ejpam-6149	458	18	28	28	NUM
ejpam-6149	458	19	4.2	4.2	NUM
ejpam-6149	458	20	.	.	PUNCT
ejpam-6149	459	1	numerical	numerical	PROPN
ejpam-6149	459	2	simulation	simulation	PROPN
ejpam-6149	459	3	for	for	ADP
ejpam-6149	459	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	459	5	sub	sub	ADJ
ejpam-6149	459	6	-	-	ADJ
ejpam-6149	459	7	model	model	ADJ
ejpam-6149	459	8	simulation	simulation	NOUN
ejpam-6149	459	9	3	3	NUM
ejpam-6149	459	10	.	.	PUNCT
ejpam-6149	460	1	the	the	DET
ejpam-6149	460	2	given	give	VERB
ejpam-6149	460	3	parameter	parameter	NOUN
ejpam-6149	460	4	values	value	NOUN
ejpam-6149	460	5	are	be	AUX
ejpam-6149	460	6	based	base	VERB
ejpam-6149	460	7	on	on	ADP
ejpam-6149	460	8	table	table	NOUN
ejpam-6149	460	9	1	1	NUM
ejpam-6149	460	10	,	,	PUNCT
ejpam-6149	460	11	ω	ω	NOUN
ejpam-6149	460	12	=	=	SYM
ejpam-6149	460	13	4	4	NUM
ejpam-6149	460	14	and	and	CCONJ
ejpam-6149	460	15	δt	δt	X
ejpam-6149	460	16	=	=	NOUN
ejpam-6149	460	17	0.95	0.95	NUM
ejpam-6149	460	18	.	.	PUNCT
ejpam-6149	461	1	subsequently	subsequently	ADV
ejpam-6149	461	2	,	,	PUNCT
ejpam-6149	461	3	we	we	PRON
ejpam-6149	461	4	obtain	obtain	VERB
ejpam-6149	461	5	r0	r0	NOUN
ejpam-6149	461	6	t	t	NOUN
ejpam-6149	461	7	=	=	SYM
ejpam-6149	461	8	0.9349	0.9349	NUM
ejpam-6149	461	9	and	and	CCONJ
ejpam-6149	461	10	the	the	DET
ejpam-6149	461	11	disease	disease	NOUN
ejpam-6149	461	12	-	-	PUNCT
ejpam-6149	461	13	free	free	ADJ
ejpam-6149	461	14	equilibrium	equilibrium	NOUN
ejpam-6149	461	15	is	be	AUX
ejpam-6149	461	16	e0	e0	PROPN
ejpam-6149	461	17	t	t	NOUN
ejpam-6149	461	18	=	=	PUNCT
ejpam-6149	461	19	(	(	PUNCT
ejpam-6149	461	20	84	84	NUM
ejpam-6149	461	21	,	,	PUNCT
ejpam-6149	461	22	0	0	NUM
ejpam-6149	461	23	,	,	PUNCT
ejpam-6149	461	24	0	0	NUM
ejpam-6149	461	25	,	,	PUNCT
ejpam-6149	461	26	0	0	NUM
ejpam-6149	461	27	)	)	PUNCT
ejpam-6149	461	28	.	.	PUNCT
ejpam-6149	462	1	to	to	PART
ejpam-6149	462	2	support	support	VERB
ejpam-6149	462	3	our	our	PRON
ejpam-6149	462	4	result	result	NOUN
ejpam-6149	462	5	,	,	PUNCT
ejpam-6149	462	6	we	we	PRON
ejpam-6149	462	7	take	take	VERB
ejpam-6149	462	8	the	the	DET
ejpam-6149	462	9	following	following	ADJ
ejpam-6149	462	10	initial	initial	ADJ
ejpam-6149	462	11	conditions	condition	NOUN
ejpam-6149	462	12	:	:	PUNCT
ejpam-6149	462	13	(	(	PUNCT
ejpam-6149	462	14	a	a	NOUN
ejpam-6149	462	15	)	)	PUNCT
ejpam-6149	462	16	.	.	PUNCT
ejpam-6149	463	1	(	(	PUNCT
ejpam-6149	463	2	50,90,27,53	50,90,27,53	NUM
ejpam-6149	463	3	)	)	PUNCT
ejpam-6149	463	4	,	,	PUNCT
ejpam-6149	463	5	(	(	PUNCT
ejpam-6149	463	6	b	b	NOUN
ejpam-6149	463	7	)	)	PUNCT
ejpam-6149	463	8	.	.	PUNCT
ejpam-6149	464	1	(	(	PUNCT
ejpam-6149	464	2	150,34,67,93	150,34,67,93	NUM
ejpam-6149	464	3	)	)	PUNCT
ejpam-6149	464	4	,	,	PUNCT
ejpam-6149	464	5	(	(	PUNCT
ejpam-6149	464	6	c	c	NOUN
ejpam-6149	464	7	)	)	PUNCT
ejpam-6149	464	8	.	.	PUNCT
ejpam-6149	465	1	(	(	PUNCT
ejpam-6149	465	2	60,200,87,52	60,200,87,52	NUM
ejpam-6149	465	3	)	)	PUNCT
ejpam-6149	465	4	and	and	CCONJ
ejpam-6149	465	5	(	(	PUNCT
ejpam-6149	465	6	d	d	NOUN
ejpam-6149	465	7	)	)	PUNCT
ejpam-6149	465	8	.	.	PUNCT
ejpam-6149	466	1	(	(	PUNCT
ejpam-6149	466	2	230,47,129,109	230,47,129,109	NUM
ejpam-6149	466	3	)	)	PUNCT
ejpam-6149	466	4	.	.	PUNCT
ejpam-6149	467	1	figure	figure	NOUN
ejpam-6149	467	2	6	6	NUM
ejpam-6149	467	3	shows	show	VERB
ejpam-6149	467	4	that	that	SCONJ
ejpam-6149	467	5	for	for	ADP
ejpam-6149	467	6	different	different	ADJ
ejpam-6149	467	7	initial	initial	ADJ
ejpam-6149	467	8	conditions	condition	NOUN
ejpam-6149	467	9	,	,	PUNCT
ejpam-6149	467	10	the	the	DET
ejpam-6149	467	11	lines	line	NOUN
ejpam-6149	467	12	of	of	ADP
ejpam-6149	467	13	the	the	DET
ejpam-6149	467	14	solutions	solution	NOUN
ejpam-6149	467	15	converge	converge	VERB
ejpam-6149	467	16	to	to	ADP
ejpam-6149	467	17	e0	e0	PROPN
ejpam-6149	467	18	t	t	PROPN
ejpam-6149	467	19	=	=	SYM
ejpam-6149	467	20	(	(	PUNCT
ejpam-6149	467	21	84	84	NUM
ejpam-6149	467	22	,	,	PUNCT
ejpam-6149	467	23	0	0	NUM
ejpam-6149	467	24	,	,	PUNCT
ejpam-6149	467	25	0	0	NUM
ejpam-6149	467	26	,	,	PUNCT
ejpam-6149	467	27	0	0	NUM
ejpam-6149	467	28	)	)	PUNCT
ejpam-6149	467	29	.	.	PUNCT
ejpam-6149	468	1	it	it	PRON
ejpam-6149	468	2	means	mean	VERB
ejpam-6149	468	3	that	that	SCONJ
ejpam-6149	468	4	the	the	DET
ejpam-6149	468	5	tuberculosis	tuberculosis	NOUN
ejpam-6149	468	6	sub	sub	NOUN
ejpam-6149	468	7	-	-	NOUN
ejpam-6149	468	8	model	model	ADJ
ejpam-6149	468	9	(	(	PUNCT
ejpam-6149	468	10	7	7	NUM
ejpam-6149	468	11	)	)	PUNCT
ejpam-6149	468	12	is	be	AUX
ejpam-6149	468	13	locally	locally	ADV
ejpam-6149	468	14	asymptotically	asymptotically	ADV
ejpam-6149	468	15	stable	stable	ADJ
ejpam-6149	468	16	at	at	ADP
ejpam-6149	468	17	the	the	DET
ejpam-6149	468	18	disease	disease	NOUN
ejpam-6149	468	19	-	-	PUNCT
ejpam-6149	468	20	free	free	ADJ
ejpam-6149	468	21	equilibrium	equilibrium	NOUN
ejpam-6149	468	22	when	when	SCONJ
ejpam-6149	468	23	r0	r0	NOUN
ejpam-6149	468	24	t	t	PROPN
ejpam-6149	468	25	<	<	X
ejpam-6149	468	26	1	1	NUM
ejpam-6149	468	27	.	.	PUNCT
ejpam-6149	468	28	simulation	simulation	NOUN
ejpam-6149	468	29	4	4	NUM
ejpam-6149	468	30	.	.	PUNCT
ejpam-6149	468	31	consider	consider	VERB
ejpam-6149	468	32	the	the	DET
ejpam-6149	468	33	same	same	ADJ
ejpam-6149	468	34	parameter	parameter	NOUN
ejpam-6149	468	35	values	value	NOUN
ejpam-6149	468	36	as	as	ADP
ejpam-6149	468	37	in	in	ADP
ejpam-6149	468	38	simulation	simulation	NOUN
ejpam-6149	468	39	3	3	NUM
ejpam-6149	468	40	,	,	PUNCT
ejpam-6149	468	41	except	except	SCONJ
ejpam-6149	468	42	for	for	ADP
ejpam-6149	468	43	the	the	DET
ejpam-6149	468	44	decreased	decrease	VERB
ejpam-6149	468	45	value	value	NOUN
ejpam-6149	468	46	of	of	ADP
ejpam-6149	468	47	δt	δt	NOUN
ejpam-6149	468	48	=	=	PROPN
ejpam-6149	468	49	0.21	0.21	NUM
ejpam-6149	468	50	.	.	PUNCT
ejpam-6149	469	1	as	as	ADP
ejpam-6149	469	2	a	a	DET
ejpam-6149	469	3	result	result	NOUN
ejpam-6149	469	4	,	,	PUNCT
ejpam-6149	469	5	r0	r0	NOUN
ejpam-6149	469	6	t	t	NOUN
ejpam-6149	469	7	=	=	SYM
ejpam-6149	469	8	3.5192	3.5192	NUM
ejpam-6149	469	9	and	and	CCONJ
ejpam-6149	469	10	the	the	DET
ejpam-6149	469	11	disease	disease	NOUN
ejpam-6149	469	12	-	-	PUNCT
ejpam-6149	469	13	free	free	ADJ
ejpam-6149	469	14	equilibrium	equilibrium	NOUN
ejpam-6149	469	15	remains	remain	VERB
ejpam-6149	469	16	unchanged	unchanged	ADJ
ejpam-6149	469	17	at	at	ADP
ejpam-6149	469	18	e0	e0	PROPN
ejpam-6149	469	19	t	t	PROPN
ejpam-6149	469	20	=	=	SYM
ejpam-6149	469	21	(	(	PUNCT
ejpam-6149	469	22	84	84	NUM
ejpam-6149	469	23	,	,	PUNCT
ejpam-6149	469	24	0	0	NUM
ejpam-6149	469	25	,	,	PUNCT
ejpam-6149	469	26	0	0	NUM
ejpam-6149	469	27	,	,	PUNCT
ejpam-6149	469	28	0	0	NUM
ejpam-6149	469	29	)	)	PUNCT
ejpam-6149	469	30	.	.	PUNCT
ejpam-6149	470	1	we	we	PRON
ejpam-6149	470	2	observe	observe	VERB
ejpam-6149	470	3	from	from	ADP
ejpam-6149	470	4	figure	figure	NOUN
ejpam-6149	470	5	7	7	NUM
ejpam-6149	470	6	that	that	SCONJ
ejpam-6149	470	7	the	the	DET
ejpam-6149	470	8	lines	line	NOUN
ejpam-6149	470	9	of	of	ADP
ejpam-6149	470	10	the	the	DET
ejpam-6149	470	11	solutions	solution	NOUN
ejpam-6149	470	12	do	do	AUX
ejpam-6149	470	13	not	not	PART
ejpam-6149	470	14	converge	converge	VERB
ejpam-6149	470	15	to	to	ADP
ejpam-6149	470	16	e0	e0	PROPN
ejpam-6149	470	17	t	t	PROPN
ejpam-6149	470	18	=	=	SYM
ejpam-6149	470	19	(	(	PUNCT
ejpam-6149	470	20	84	84	NUM
ejpam-6149	470	21	,	,	PUNCT
ejpam-6149	470	22	0	0	NUM
ejpam-6149	470	23	,	,	PUNCT
ejpam-6149	470	24	0	0	NUM
ejpam-6149	470	25	,	,	PUNCT
ejpam-6149	470	26	0	0	NUM
ejpam-6149	470	27	)	)	PUNCT
ejpam-6149	470	28	.	.	PUNCT
ejpam-6149	471	1	this	this	PRON
ejpam-6149	471	2	indicates	indicate	VERB
ejpam-6149	471	3	that	that	SCONJ
ejpam-6149	471	4	the	the	DET
ejpam-6149	471	5	tuberculosis	tuberculosis	NOUN
ejpam-6149	471	6	sub	sub	NOUN
ejpam-6149	471	7	-	-	NOUN
ejpam-6149	471	8	model	model	NOUN
ejpam-6149	471	9	is	be	AUX
ejpam-6149	471	10	unstable	unstable	ADJ
ejpam-6149	471	11	at	at	ADP
ejpam-6149	471	12	the	the	DET
ejpam-6149	471	13	disease	disease	NOUN
ejpam-6149	471	14	-	-	PUNCT
ejpam-6149	471	15	free	free	ADJ
ejpam-6149	471	16	equilibrium	equilibrium	NOUN
ejpam-6149	471	17	when	when	SCONJ
ejpam-6149	471	18	r0	r0	NOUN
ejpam-6149	471	19	t	t	PROPN
ejpam-6149	471	20	>	>	X
ejpam-6149	471	21	1	1	X
ejpam-6149	471	22	.	.	PUNCT
ejpam-6149	472	1	furthermore	furthermore	ADV
ejpam-6149	472	2	,	,	PUNCT
ejpam-6149	472	3	since	since	SCONJ
ejpam-6149	472	4	we	we	PRON
ejpam-6149	472	5	have	have	AUX
ejpam-6149	472	6	obtained	obtain	VERB
ejpam-6149	472	7	r0	r0	NOUN
ejpam-6149	472	8	t	t	NOUN
ejpam-6149	472	9	=	=	SYM
ejpam-6149	472	10	3.5192	3.5192	NUM
ejpam-6149	472	11	and	and	CCONJ
ejpam-6149	472	12	the	the	DET
ejpam-6149	472	13	endemic	endemic	ADJ
ejpam-6149	472	14	equilibrium	equilibrium	NOUN
ejpam-6149	472	15	point	point	NOUN
ejpam-6149	472	16	e1	e1	NOUN
ejpam-6149	472	17	t	t	NOUN
ejpam-6149	472	18	=	=	PUNCT
ejpam-6149	472	19	(	(	PUNCT
ejpam-6149	472	20	23	23	NUM
ejpam-6149	472	21	,	,	PUNCT
ejpam-6149	472	22	4	4	NUM
ejpam-6149	472	23	,	,	PUNCT
ejpam-6149	472	24	11	11	NUM
ejpam-6149	472	25	,	,	PUNCT
ejpam-6149	472	26	9	9	NUM
ejpam-6149	472	27	)	)	PUNCT
ejpam-6149	472	28	now	now	ADV
ejpam-6149	472	29	exists	exist	VERB
ejpam-6149	472	30	,	,	PUNCT
ejpam-6149	472	31	we	we	PRON
ejpam-6149	472	32	can	can	AUX
ejpam-6149	472	33	observe	observe	VERB
ejpam-6149	472	34	that	that	SCONJ
ejpam-6149	472	35	the	the	DET
ejpam-6149	472	36	lines	line	NOUN
ejpam-6149	472	37	of	of	ADP
ejpam-6149	472	38	the	the	DET
ejpam-6149	472	39	solutions	solution	NOUN
ejpam-6149	472	40	converge	converge	VERB
ejpam-6149	472	41	to	to	ADP
ejpam-6149	472	42	e1	e1	PROPN
ejpam-6149	472	43	t	t	PROPN
ejpam-6149	472	44	(	(	PUNCT
ejpam-6149	472	45	23	23	NUM
ejpam-6149	472	46	,	,	PUNCT
ejpam-6149	472	47	4	4	NUM
ejpam-6149	472	48	,	,	PUNCT
ejpam-6149	472	49	11	11	NUM
ejpam-6149	472	50	,	,	PUNCT
ejpam-6149	472	51	9	9	NUM
ejpam-6149	472	52	)	)	PUNCT
ejpam-6149	472	53	.	.	PUNCT
ejpam-6149	473	1	therefore	therefore	ADV
ejpam-6149	473	2	,	,	PUNCT
ejpam-6149	473	3	the	the	DET
ejpam-6149	473	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	473	5	sub	sub	NOUN
ejpam-6149	473	6	-	-	NOUN
ejpam-6149	473	7	model	model	NOUN
ejpam-6149	473	8	is	be	AUX
ejpam-6149	473	9	locally	locally	ADV
ejpam-6149	473	10	asymptotically	asymptotically	ADV
ejpam-6149	473	11	stable	stable	ADJ
ejpam-6149	473	12	at	at	ADP
ejpam-6149	473	13	the	the	DET
ejpam-6149	473	14	endemic	endemic	ADJ
ejpam-6149	473	15	equilibrium	equilibrium	NOUN
ejpam-6149	473	16	point	point	NOUN
ejpam-6149	473	17	whenever	whenever	SCONJ
ejpam-6149	473	18	r0	r0	PROPN
ejpam-6149	473	19	t	t	PROPN
ejpam-6149	473	20	>	>	X
ejpam-6149	473	21	1	1	X
ejpam-6149	473	22	.	.	PUNCT
ejpam-6149	473	23	figures	figure	NOUN
ejpam-6149	473	24	6	6	NUM
ejpam-6149	473	25	and	and	CCONJ
ejpam-6149	473	26	7	7	NUM
ejpam-6149	473	27	illustrate	illustrate	VERB
ejpam-6149	473	28	the	the	DET
ejpam-6149	473	29	effect	effect	NOUN
ejpam-6149	473	30	of	of	ADP
ejpam-6149	473	31	quarantine	quarantine	NOUN
ejpam-6149	473	32	measures	measure	NOUN
ejpam-6149	473	33	in	in	ADP
ejpam-6149	473	34	the	the	DET
ejpam-6149	473	35	tuberculosis	tuberculosis	NOUN
ejpam-6149	473	36	sub	sub	NOUN
ejpam-6149	473	37	-	-	NOUN
ejpam-6149	473	38	model	model	ADJ
ejpam-6149	473	39	(	(	PUNCT
ejpam-6149	473	40	7	7	NUM
ejpam-6149	473	41	)	)	PUNCT
ejpam-6149	473	42	.	.	PUNCT
ejpam-6149	474	1	the	the	DET
ejpam-6149	474	2	results	result	NOUN
ejpam-6149	474	3	are	be	AUX
ejpam-6149	474	4	similar	similar	ADJ
ejpam-6149	474	5	to	to	ADP
ejpam-6149	474	6	those	those	PRON
ejpam-6149	474	7	of	of	ADP
ejpam-6149	474	8	the	the	DET
ejpam-6149	474	9	covid-19	covid-19	PROPN
ejpam-6149	474	10	sub	sub	NOUN
ejpam-6149	474	11	-	-	NOUN
ejpam-6149	474	12	model	model	NOUN
ejpam-6149	474	13	.	.	PUNCT
ejpam-6149	475	1	when	when	SCONJ
ejpam-6149	475	2	the	the	DET
ejpam-6149	475	3	value	value	NOUN
ejpam-6149	475	4	of	of	ADP
ejpam-6149	475	5	the	the	DET
ejpam-6149	475	6	quarantine	quarantine	NOUN
ejpam-6149	475	7	measure	measure	NOUN
ejpam-6149	475	8	is	be	AUX
ejpam-6149	475	9	low	low	ADJ
ejpam-6149	475	10	,	,	PUNCT
ejpam-6149	475	11	infected	infected	ADJ
ejpam-6149	475	12	individuals	individual	NOUN
ejpam-6149	475	13	continue	continue	VERB
ejpam-6149	475	14	transmitting	transmit	VERB
ejpam-6149	475	15	the	the	DET
ejpam-6149	475	16	disease	disease	NOUN
ejpam-6149	475	17	,	,	PUNCT
ejpam-6149	475	18	leading	lead	VERB
ejpam-6149	475	19	to	to	ADP
ejpam-6149	475	20	an	an	DET
ejpam-6149	475	21	increase	increase	NOUN
ejpam-6149	475	22	in	in	ADP
ejpam-6149	475	23	cases	case	NOUN
ejpam-6149	475	24	.	.	PUNCT
ejpam-6149	476	1	conversely	conversely	ADV
ejpam-6149	476	2	,	,	PUNCT
ejpam-6149	476	3	a	a	DET
ejpam-6149	476	4	high	high	ADJ
ejpam-6149	476	5	quarantine	quarantine	NOUN
ejpam-6149	476	6	measure	measure	NOUN
ejpam-6149	476	7	helps	help	VERB
ejpam-6149	476	8	control	control	VERB
ejpam-6149	476	9	the	the	DET
ejpam-6149	476	10	spread	spread	NOUN
ejpam-6149	476	11	of	of	ADP
ejpam-6149	476	12	tuberculosis	tuberculosis	NOUN
ejpam-6149	476	13	,	,	PUNCT
ejpam-6149	476	14	ultimately	ultimately	ADV
ejpam-6149	476	15	leading	lead	VERB
ejpam-6149	476	16	to	to	ADP
ejpam-6149	476	17	its	its	PRON
ejpam-6149	476	18	eradication	eradication	NOUN
ejpam-6149	476	19	over	over	ADP
ejpam-6149	476	20	time	time	NOUN
ejpam-6149	476	21	.	.	PUNCT
ejpam-6149	477	1	figure	figure	VERB
ejpam-6149	477	2	6	6	NUM
ejpam-6149	477	3	:	:	PUNCT
ejpam-6149	477	4	(	(	PUNCT
ejpam-6149	477	5	simulation	simulation	NOUN
ejpam-6149	477	6	3	3	NUM
ejpam-6149	477	7	)	)	PUNCT
ejpam-6149	477	8	the	the	PRON
ejpam-6149	477	9	tb	tb	ADP
ejpam-6149	477	10	sub	sub	NOUN
ejpam-6149	477	11	-	-	NOUN
ejpam-6149	477	12	model	model	NOUN
ejpam-6149	477	13	is	be	AUX
ejpam-6149	477	14	locally	locally	ADV
ejpam-6149	477	15	asymptotically	asymptotically	ADV
ejpam-6149	477	16	stable	stable	ADJ
ejpam-6149	477	17	at	at	ADP
ejpam-6149	477	18	e0	e0	PROPN
ejpam-6149	477	19	t	t	PROPN
ejpam-6149	477	20	when	when	SCONJ
ejpam-6149	477	21	r0	r0	NOUN
ejpam-6149	477	22	t	t	PROPN
ejpam-6149	477	23	<	<	X
ejpam-6149	477	24	1	1	NUM
ejpam-6149	477	25	.	.	PUNCT
ejpam-6149	477	26	j.	j.	PROPN
ejpam-6149	477	27	puebla	puebla	PROPN
ejpam-6149	477	28	,	,	PUNCT
ejpam-6149	477	29	jm	jm	PROPN
ejpam-6149	477	30	.	.	PROPN
ejpam-6149	477	31	macalalag	macalalag	PROPN
ejpam-6149	477	32	,	,	PUNCT
ejpam-6149	477	33	k.	k.	PROPN
ejpam-6149	477	34	pajaron	pajaron	PROPN
ejpam-6149	477	35	/	/	SYM
ejpam-6149	477	36	eur	eur	PROPN
ejpam-6149	477	37	.	.	PUNCT
ejpam-6149	478	1	j.	j.	PROPN
ejpam-6149	478	2	pure	pure	PROPN
ejpam-6149	478	3	appl	appl	PROPN
ejpam-6149	478	4	.	.	PROPN
ejpam-6149	478	5	math	math	PROPN
ejpam-6149	478	6	,	,	PUNCT
ejpam-6149	478	7	18	18	NUM
ejpam-6149	478	8	(	(	PUNCT
ejpam-6149	478	9	3	3	NUM
ejpam-6149	478	10	)	)	PUNCT
ejpam-6149	478	11	(	(	PUNCT
ejpam-6149	478	12	2025	2025	NUM
ejpam-6149	478	13	)	)	PUNCT
ejpam-6149	478	14	,	,	PUNCT
ejpam-6149	478	15	6149	6149	NUM
ejpam-6149	478	16	23	23	NUM
ejpam-6149	478	17	of	of	ADP
ejpam-6149	478	18	28	28	NUM
ejpam-6149	478	19	figure	figure	NOUN
ejpam-6149	478	20	7	7	NUM
ejpam-6149	478	21	:	:	PUNCT
ejpam-6149	478	22	(	(	PUNCT
ejpam-6149	478	23	simulation	simulation	NOUN
ejpam-6149	478	24	4	4	NUM
ejpam-6149	478	25	)	)	PUNCT
ejpam-6149	478	26	the	the	PRON
ejpam-6149	478	27	tb	tb	ADP
ejpam-6149	478	28	sub	sub	NOUN
ejpam-6149	478	29	-	-	NOUN
ejpam-6149	478	30	model	model	NOUN
ejpam-6149	478	31	is	be	AUX
ejpam-6149	478	32	locally	locally	ADV
ejpam-6149	478	33	asymptotically	asymptotically	ADV
ejpam-6149	478	34	stable	stable	ADJ
ejpam-6149	478	35	at	at	ADP
ejpam-6149	478	36	e1	e1	PROPN
ejpam-6149	478	37	t	t	NOUN
ejpam-6149	478	38	when	when	SCONJ
ejpam-6149	478	39	r0	r0	NOUN
ejpam-6149	478	40	t	t	PROPN
ejpam-6149	478	41	>	>	X
ejpam-6149	478	42	1	1	NUM
ejpam-6149	478	43	.	.	X
ejpam-6149	478	44	4.3	4.3	NUM
ejpam-6149	478	45	.	.	PUNCT
ejpam-6149	478	46	numerical	numerical	PROPN
ejpam-6149	478	47	simulation	simulation	PROPN
ejpam-6149	478	48	for	for	ADP
ejpam-6149	478	49	co	co	NOUN
ejpam-6149	478	50	-	-	ADJ
ejpam-6149	478	51	infection	infection	NOUN
ejpam-6149	478	52	model	model	NOUN
ejpam-6149	478	53	simulation	simulation	NOUN
ejpam-6149	478	54	5	5	NUM
ejpam-6149	478	55	.	.	PUNCT
ejpam-6149	479	1	the	the	DET
ejpam-6149	479	2	given	give	VERB
ejpam-6149	479	3	parameter	parameter	NOUN
ejpam-6149	479	4	values	value	NOUN
ejpam-6149	479	5	are	be	AUX
ejpam-6149	479	6	based	base	VERB
ejpam-6149	479	7	on	on	ADP
ejpam-6149	479	8	table	table	NOUN
ejpam-6149	479	9	1	1	NUM
ejpam-6149	479	10	,	,	PUNCT
ejpam-6149	479	11	ω	ω	NOUN
ejpam-6149	479	12	=	=	SYM
ejpam-6149	479	13	2	2	NUM
ejpam-6149	479	14	and	and	CCONJ
ejpam-6149	479	15	δe	δe	X
ejpam-6149	479	16	=	=	SYM
ejpam-6149	479	17	0.57	0.57	NUM
ejpam-6149	479	18	,	,	PUNCT
ejpam-6149	479	19	δc	δc	NOUN
ejpam-6149	479	20	=	=	SYM
ejpam-6149	479	21	0.61	0.61	NUM
ejpam-6149	479	22	,	,	PUNCT
ejpam-6149	479	23	and	and	CCONJ
ejpam-6149	479	24	δt	δt	X
ejpam-6149	479	25	=	=	SYM
ejpam-6149	479	26	0.46	0.46	NUM
ejpam-6149	479	27	.	.	PUNCT
ejpam-6149	480	1	subsequently	subsequently	ADV
ejpam-6149	480	2	,	,	PUNCT
ejpam-6149	480	3	we	we	PRON
ejpam-6149	480	4	obtain	obtain	VERB
ejpam-6149	480	5	r0c	r0c	NOUN
ejpam-6149	480	6	=	=	PUNCT
ejpam-6149	480	7	0.9749	0.9749	NUM
ejpam-6149	480	8	and	and	CCONJ
ejpam-6149	480	9	r0	r0	NOUN
ejpam-6149	480	10	t	t	NOUN
ejpam-6149	480	11	=	=	SYM
ejpam-6149	480	12	0.9099	0.9099	NUM
ejpam-6149	480	13	and	and	CCONJ
ejpam-6149	480	14	the	the	DET
ejpam-6149	480	15	diseasefree	diseasefree	PROPN
ejpam-6149	480	16	equilibrium	equilibrium	NOUN
ejpam-6149	480	17	is	be	AUX
ejpam-6149	480	18	(	(	PUNCT
ejpam-6149	480	19	42	42	NUM
ejpam-6149	480	20	,	,	PUNCT
ejpam-6149	480	21	0	0	NUM
ejpam-6149	480	22	,	,	PUNCT
ejpam-6149	480	23	0	0	NUM
ejpam-6149	480	24	,	,	PUNCT
ejpam-6149	480	25	0	0	NUM
ejpam-6149	480	26	,	,	PUNCT
ejpam-6149	480	27	0	0	NUM
ejpam-6149	480	28	,	,	PUNCT
ejpam-6149	480	29	0	0	NUM
ejpam-6149	480	30	,	,	PUNCT
ejpam-6149	480	31	0	0	NUM
ejpam-6149	480	32	,	,	PUNCT
ejpam-6149	480	33	0	0	NUM
ejpam-6149	480	34	,	,	PUNCT
ejpam-6149	480	35	0	0	NUM
ejpam-6149	480	36	)	)	PUNCT
ejpam-6149	480	37	.	.	PUNCT
ejpam-6149	481	1	hence	hence	ADV
ejpam-6149	481	2	,	,	PUNCT
ejpam-6149	481	3	the	the	DET
ejpam-6149	481	4	basic	basic	ADJ
ejpam-6149	481	5	reproduction	reproduction	NOUN
ejpam-6149	481	6	number	number	NOUN
ejpam-6149	481	7	of	of	ADP
ejpam-6149	481	8	the	the	DET
ejpam-6149	481	9	co	co	NOUN
ejpam-6149	481	10	-	-	ADJ
ejpam-6149	481	11	infection	infection	ADJ
ejpam-6149	481	12	model	model	NOUN
ejpam-6149	481	13	(	(	PUNCT
ejpam-6149	481	14	1	1	NUM
ejpam-6149	481	15	)	)	PUNCT
ejpam-6149	481	16	isr0c	isr0c	X
ejpam-6149	482	1	=	=	SYM
ejpam-6149	482	2	0.9749	0.9749	NUM
ejpam-6149	482	3	.	.	PUNCT
ejpam-6149	483	1	we	we	PRON
ejpam-6149	483	2	take	take	VERB
ejpam-6149	483	3	the	the	DET
ejpam-6149	483	4	following	following	ADJ
ejpam-6149	483	5	initial	initial	ADJ
ejpam-6149	483	6	conditions	condition	NOUN
ejpam-6149	483	7	:	:	PUNCT
ejpam-6149	483	8	a.	a.	NOUN
ejpam-6149	483	9	(	(	PUNCT
ejpam-6149	483	10	100,45,30,0,35,25,0,35,20,0	100,45,30,0,35,25,0,35,20,0	NOUN
ejpam-6149	483	11	)	)	PUNCT
ejpam-6149	483	12	,	,	PUNCT
ejpam-6149	483	13	b.(100,55,64,10,45,35,10,70,40,5	b.(100,55,64,10,45,35,10,70,40,5	NOUN
ejpam-6149	483	14	)	)	PUNCT
ejpam-6149	483	15	,	,	PUNCT
ejpam-6149	483	16	c.(150,100,78,70,48,37,10,64,28,19	c.(150,100,78,70,48,37,10,64,28,19	PROPN
ejpam-6149	483	17	)	)	PUNCT
ejpam-6149	483	18	,	,	PUNCT
ejpam-6149	483	19	d.(300,10,20,0,10,9,0,15,15,0	d.(300,10,20,0,10,9,0,15,15,0	PROPN
ejpam-6149	483	20	)	)	PUNCT
ejpam-6149	483	21	.	.	PUNCT
ejpam-6149	484	1	figure	figure	NOUN
ejpam-6149	484	2	8	8	NUM
ejpam-6149	484	3	shows	show	VERB
ejpam-6149	484	4	that	that	SCONJ
ejpam-6149	484	5	the	the	DET
ejpam-6149	484	6	lines	line	NOUN
ejpam-6149	484	7	of	of	ADP
ejpam-6149	484	8	the	the	DET
ejpam-6149	484	9	solutions	solution	NOUN
ejpam-6149	484	10	converge	converge	VERB
ejpam-6149	484	11	to	to	ADP
ejpam-6149	484	12	(	(	PUNCT
ejpam-6149	484	13	42	42	NUM
ejpam-6149	484	14	,	,	PUNCT
ejpam-6149	484	15	0	0	NUM
ejpam-6149	484	16	,	,	PUNCT
ejpam-6149	484	17	0	0	NUM
ejpam-6149	484	18	,	,	PUNCT
ejpam-6149	484	19	0	0	NUM
ejpam-6149	484	20	,	,	PUNCT
ejpam-6149	484	21	0	0	NUM
ejpam-6149	484	22	,	,	PUNCT
ejpam-6149	484	23	0	0	NUM
ejpam-6149	484	24	,	,	PUNCT
ejpam-6149	484	25	0	0	NUM
ejpam-6149	484	26	,	,	PUNCT
ejpam-6149	484	27	0	0	NUM
ejpam-6149	484	28	,	,	PUNCT
ejpam-6149	484	29	0	0	NUM
ejpam-6149	484	30	,	,	PUNCT
ejpam-6149	484	31	0	0	NUM
ejpam-6149	484	32	)	)	PUNCT
ejpam-6149	484	33	.	.	PUNCT
ejpam-6149	485	1	this	this	PRON
ejpam-6149	485	2	indicates	indicate	VERB
ejpam-6149	485	3	that	that	SCONJ
ejpam-6149	485	4	the	the	DET
ejpam-6149	485	5	co	co	NOUN
ejpam-6149	485	6	-	-	ADJ
ejpam-6149	485	7	infection	infection	ADJ
ejpam-6149	485	8	model	model	NOUN
ejpam-6149	485	9	(	(	PUNCT
ejpam-6149	485	10	1	1	X
ejpam-6149	485	11	)	)	PUNCT
ejpam-6149	485	12	is	be	AUX
ejpam-6149	485	13	locally	locally	ADV
ejpam-6149	485	14	asymptotically	asymptotically	ADV
ejpam-6149	485	15	stable	stable	ADJ
ejpam-6149	485	16	at	at	ADP
ejpam-6149	485	17	the	the	DET
ejpam-6149	485	18	disease	disease	NOUN
ejpam-6149	485	19	-	-	PUNCT
ejpam-6149	485	20	free	free	ADJ
ejpam-6149	485	21	equilibrium	equilibrium	NOUN
ejpam-6149	485	22	when	when	SCONJ
ejpam-6149	485	23	r0ct	r0ct	PUNCT
ejpam-6149	485	24	<	<	X
ejpam-6149	485	25	1	1	X
ejpam-6149	485	26	.	.	PUNCT
ejpam-6149	485	27	simulation	simulation	NOUN
ejpam-6149	485	28	6	6	NUM
ejpam-6149	485	29	.	.	PUNCT
ejpam-6149	485	30	consider	consider	VERB
ejpam-6149	485	31	the	the	DET
ejpam-6149	485	32	same	same	ADJ
ejpam-6149	485	33	parameter	parameter	NOUN
ejpam-6149	485	34	values	value	NOUN
ejpam-6149	485	35	as	as	ADP
ejpam-6149	485	36	in	in	ADP
ejpam-6149	485	37	simulation	simulation	NOUN
ejpam-6149	485	38	5	5	NUM
ejpam-6149	485	39	,	,	PUNCT
ejpam-6149	485	40	except	except	SCONJ
ejpam-6149	485	41	for	for	ADP
ejpam-6149	485	42	the	the	DET
ejpam-6149	485	43	decreased	decrease	VERB
ejpam-6149	485	44	value	value	NOUN
ejpam-6149	485	45	of	of	ADP
ejpam-6149	485	46	δe	δe	NOUN
ejpam-6149	485	47	=	=	NOUN
ejpam-6149	485	48	0.02	0.02	NUM
ejpam-6149	485	49	,	,	PUNCT
ejpam-6149	485	50	δc	δc	NOUN
ejpam-6149	485	51	=	=	NOUN
ejpam-6149	485	52	0.05	0.05	NUM
ejpam-6149	485	53	and	and	CCONJ
ejpam-6149	485	54	δt	δt	NOUN
ejpam-6149	485	55	=	=	NOUN
ejpam-6149	485	56	0.06	0.06	NUM
ejpam-6149	485	57	.	.	PUNCT
ejpam-6149	486	1	as	as	ADP
ejpam-6149	486	2	a	a	DET
ejpam-6149	486	3	result	result	NOUN
ejpam-6149	486	4	,	,	PUNCT
ejpam-6149	486	5	r0c	r0c	NOUN
ejpam-6149	486	6	=	=	SYM
ejpam-6149	486	7	13.1021	13.1021	NUM
ejpam-6149	486	8	and	and	CCONJ
ejpam-6149	486	9	r0	r0	NOUN
ejpam-6149	486	10	t	t	NOUN
ejpam-6149	486	11	=	=	SYM
ejpam-6149	486	12	4.0021	4.0021	NUM
ejpam-6149	486	13	and	and	CCONJ
ejpam-6149	486	14	the	the	DET
ejpam-6149	486	15	disease	disease	NOUN
ejpam-6149	486	16	-	-	PUNCT
ejpam-6149	486	17	free	free	ADJ
ejpam-6149	486	18	equilibrium	equilibrium	NOUN
ejpam-6149	486	19	remains	remain	VERB
ejpam-6149	486	20	unchanged	unchanged	ADJ
ejpam-6149	486	21	at	at	ADP
ejpam-6149	486	22	(	(	PUNCT
ejpam-6149	486	23	42	42	NUM
ejpam-6149	486	24	,	,	PUNCT
ejpam-6149	486	25	0	0	NUM
ejpam-6149	486	26	,	,	PUNCT
ejpam-6149	486	27	0	0	NUM
ejpam-6149	486	28	,	,	PUNCT
ejpam-6149	486	29	0	0	NUM
ejpam-6149	486	30	,	,	PUNCT
ejpam-6149	486	31	0	0	NUM
ejpam-6149	486	32	,	,	PUNCT
ejpam-6149	486	33	0	0	NUM
ejpam-6149	486	34	,	,	PUNCT
ejpam-6149	486	35	0	0	NUM
ejpam-6149	486	36	,	,	PUNCT
ejpam-6149	486	37	0	0	NUM
ejpam-6149	486	38	,	,	PUNCT
ejpam-6149	486	39	0	0	NUM
ejpam-6149	486	40	,	,	PUNCT
ejpam-6149	486	41	0	0	NUM
ejpam-6149	486	42	)	)	PUNCT
ejpam-6149	486	43	.	.	PUNCT
ejpam-6149	487	1	we	we	PRON
ejpam-6149	487	2	observe	observe	VERB
ejpam-6149	487	3	from	from	ADP
ejpam-6149	487	4	figure	figure	NOUN
ejpam-6149	487	5	9	9	NUM
ejpam-6149	487	6	that	that	SCONJ
ejpam-6149	487	7	the	the	DET
ejpam-6149	487	8	lines	line	NOUN
ejpam-6149	487	9	of	of	ADP
ejpam-6149	487	10	the	the	DET
ejpam-6149	487	11	solutions	solution	NOUN
ejpam-6149	487	12	do	do	AUX
ejpam-6149	487	13	not	not	PART
ejpam-6149	487	14	converge	converge	VERB
ejpam-6149	487	15	to	to	ADP
ejpam-6149	487	16	(	(	PUNCT
ejpam-6149	487	17	42	42	NUM
ejpam-6149	487	18	,	,	PUNCT
ejpam-6149	487	19	0	0	NUM
ejpam-6149	487	20	,	,	PUNCT
ejpam-6149	487	21	0	0	NUM
ejpam-6149	487	22	,	,	PUNCT
ejpam-6149	487	23	0	0	NUM
ejpam-6149	487	24	,	,	PUNCT
ejpam-6149	487	25	0	0	NUM
ejpam-6149	487	26	,	,	PUNCT
ejpam-6149	487	27	0	0	NUM
ejpam-6149	487	28	,	,	PUNCT
ejpam-6149	487	29	0	0	NUM
ejpam-6149	487	30	,	,	PUNCT
ejpam-6149	487	31	0	0	NUM
ejpam-6149	487	32	,	,	PUNCT
ejpam-6149	487	33	0	0	NUM
ejpam-6149	487	34	,	,	PUNCT
ejpam-6149	487	35	0	0	NUM
ejpam-6149	487	36	)	)	PUNCT
ejpam-6149	487	37	.	.	PUNCT
ejpam-6149	488	1	this	this	PRON
ejpam-6149	488	2	indicates	indicate	VERB
ejpam-6149	488	3	that	that	SCONJ
ejpam-6149	488	4	the	the	DET
ejpam-6149	488	5	co	co	NOUN
ejpam-6149	488	6	-	-	ADJ
ejpam-6149	488	7	infection	infection	ADJ
ejpam-6149	488	8	model	model	NOUN
ejpam-6149	488	9	is	be	AUX
ejpam-6149	488	10	unstable	unstable	ADJ
ejpam-6149	488	11	at	at	ADP
ejpam-6149	488	12	the	the	DET
ejpam-6149	488	13	disease	disease	NOUN
ejpam-6149	488	14	-	-	PUNCT
ejpam-6149	488	15	free	free	ADJ
ejpam-6149	488	16	equilibrium	equilibrium	NOUN
ejpam-6149	488	17	when	when	SCONJ
ejpam-6149	488	18	r0ct	r0ct	PUNCT
ejpam-6149	488	19	>	>	X
ejpam-6149	488	20	1	1	X
ejpam-6149	488	21	.	.	PUNCT
ejpam-6149	488	22	j.	j.	PROPN
ejpam-6149	488	23	puebla	puebla	PROPN
ejpam-6149	488	24	,	,	PUNCT
ejpam-6149	488	25	jm	jm	PROPN
ejpam-6149	488	26	.	.	PROPN
ejpam-6149	488	27	macalalag	macalalag	PROPN
ejpam-6149	488	28	,	,	PUNCT
ejpam-6149	488	29	k.	k.	PROPN
ejpam-6149	488	30	pajaron	pajaron	PROPN
ejpam-6149	488	31	/	/	SYM
ejpam-6149	488	32	eur	eur	PROPN
ejpam-6149	488	33	.	.	PUNCT
ejpam-6149	489	1	j.	j.	PROPN
ejpam-6149	489	2	pure	pure	PROPN
ejpam-6149	489	3	appl	appl	PROPN
ejpam-6149	489	4	.	.	PROPN
ejpam-6149	489	5	math	math	PROPN
ejpam-6149	489	6	,	,	PUNCT
ejpam-6149	489	7	18	18	NUM
ejpam-6149	489	8	(	(	PUNCT
ejpam-6149	489	9	3	3	NUM
ejpam-6149	489	10	)	)	PUNCT
ejpam-6149	489	11	(	(	PUNCT
ejpam-6149	489	12	2025	2025	NUM
ejpam-6149	489	13	)	)	PUNCT
ejpam-6149	489	14	,	,	PUNCT
ejpam-6149	489	15	6149	6149	NUM
ejpam-6149	489	16	24	24	NUM
ejpam-6149	489	17	of	of	ADP
ejpam-6149	489	18	28	28	NUM
ejpam-6149	489	19	figure	figure	NOUN
ejpam-6149	489	20	8	8	NUM
ejpam-6149	489	21	:	:	PUNCT
ejpam-6149	489	22	(	(	PUNCT
ejpam-6149	489	23	simulation	simulation	NOUN
ejpam-6149	489	24	5	5	NUM
ejpam-6149	489	25	)	)	PUNCT
ejpam-6149	489	26	the	the	DET
ejpam-6149	489	27	co	co	NOUN
ejpam-6149	489	28	-	-	ADJ
ejpam-6149	489	29	infection	infection	ADJ
ejpam-6149	489	30	model	model	NOUN
ejpam-6149	489	31	is	be	AUX
ejpam-6149	489	32	locally	locally	ADV
ejpam-6149	489	33	asymptotically	asymptotically	ADV
ejpam-6149	489	34	stable	stable	ADJ
ejpam-6149	489	35	at	at	ADP
ejpam-6149	489	36	the	the	DET
ejpam-6149	489	37	disease	disease	NOUN
ejpam-6149	489	38	-	-	PUNCT
ejpam-6149	489	39	free	free	ADJ
ejpam-6149	489	40	equilibrium	equilibrium	NOUN
ejpam-6149	489	41	when	when	SCONJ
ejpam-6149	489	42	r0ct	r0ct	PUNCT
ejpam-6149	489	43	<	<	X
ejpam-6149	489	44	1	1	NUM
ejpam-6149	489	45	figure	figure	NOUN
ejpam-6149	489	46	9	9	NUM
ejpam-6149	489	47	:	:	PUNCT
ejpam-6149	489	48	(	(	PUNCT
ejpam-6149	489	49	simulation	simulation	NOUN
ejpam-6149	489	50	6	6	NUM
ejpam-6149	489	51	)	)	PUNCT
ejpam-6149	489	52	the	the	DET
ejpam-6149	489	53	co	co	NOUN
ejpam-6149	489	54	-	-	ADJ
ejpam-6149	489	55	infection	infection	ADJ
ejpam-6149	489	56	model	model	NOUN
ejpam-6149	489	57	is	be	AUX
ejpam-6149	489	58	locally	locally	ADV
ejpam-6149	489	59	asymptotically	asymptotically	ADV
ejpam-6149	489	60	stable	stable	ADJ
ejpam-6149	489	61	at	at	ADP
ejpam-6149	489	62	the	the	DET
ejpam-6149	489	63	disease	disease	NOUN
ejpam-6149	489	64	-	-	PUNCT
ejpam-6149	489	65	free	free	ADJ
ejpam-6149	489	66	equilibrium	equilibrium	NOUN
ejpam-6149	489	67	when	when	SCONJ
ejpam-6149	489	68	r0ct	r0ct	PUNCT
ejpam-6149	489	69	<	<	X
ejpam-6149	489	70	1	1	NUM
ejpam-6149	489	71	j.	j.	PROPN
ejpam-6149	489	72	puebla	puebla	PROPN
ejpam-6149	489	73	,	,	PUNCT
ejpam-6149	489	74	jm	jm	PROPN
ejpam-6149	489	75	.	.	PROPN
ejpam-6149	489	76	macalalag	macalalag	PROPN
ejpam-6149	489	77	,	,	PUNCT
ejpam-6149	489	78	k.	k.	PROPN
ejpam-6149	489	79	pajaron	pajaron	PROPN
ejpam-6149	489	80	/	/	SYM
ejpam-6149	489	81	eur	eur	PROPN
ejpam-6149	489	82	.	.	PUNCT
ejpam-6149	490	1	j.	j.	PROPN
ejpam-6149	490	2	pure	pure	PROPN
ejpam-6149	490	3	appl	appl	PROPN
ejpam-6149	490	4	.	.	PROPN
ejpam-6149	490	5	math	math	PROPN
ejpam-6149	490	6	,	,	PUNCT
ejpam-6149	490	7	18	18	NUM
ejpam-6149	490	8	(	(	PUNCT
ejpam-6149	490	9	3	3	NUM
ejpam-6149	490	10	)	)	PUNCT
ejpam-6149	490	11	(	(	PUNCT
ejpam-6149	490	12	2025	2025	NUM
ejpam-6149	490	13	)	)	PUNCT
ejpam-6149	490	14	,	,	PUNCT
ejpam-6149	490	15	6149	6149	NUM
ejpam-6149	490	16	25	25	NUM
ejpam-6149	490	17	of	of	ADP
ejpam-6149	490	18	28	28	NUM
ejpam-6149	490	19	5	5	NUM
ejpam-6149	490	20	.	.	PUNCT
ejpam-6149	491	1	conclusion	conclusion	NOUN
ejpam-6149	491	2	in	in	ADP
ejpam-6149	491	3	this	this	DET
ejpam-6149	491	4	paper	paper	NOUN
ejpam-6149	491	5	,	,	PUNCT
ejpam-6149	491	6	a	a	DET
ejpam-6149	491	7	deterministic	deterministic	ADJ
ejpam-6149	491	8	mathematical	mathematical	ADJ
ejpam-6149	491	9	model	model	NOUN
ejpam-6149	491	10	for	for	ADP
ejpam-6149	491	11	the	the	DET
ejpam-6149	491	12	co	co	NOUN
ejpam-6149	491	13	-	-	NOUN
ejpam-6149	491	14	infection	infection	NOUN
ejpam-6149	491	15	of	of	ADP
ejpam-6149	491	16	covid-19	covid-19	PROPN
ejpam-6149	491	17	and	and	CCONJ
ejpam-6149	491	18	tuberculosis	tuberculosis	NOUN
ejpam-6149	491	19	,	,	PUNCT
ejpam-6149	491	20	incorporating	incorporate	VERB
ejpam-6149	491	21	quarantine	quarantine	NOUN
ejpam-6149	491	22	measures	measure	NOUN
ejpam-6149	491	23	,	,	PUNCT
ejpam-6149	491	24	is	be	AUX
ejpam-6149	491	25	proposed	propose	VERB
ejpam-6149	491	26	and	and	CCONJ
ejpam-6149	491	27	analyzed	analyze	VERB
ejpam-6149	491	28	.	.	PUNCT
ejpam-6149	492	1	it	it	PRON
ejpam-6149	492	2	is	be	AUX
ejpam-6149	492	3	demonstrated	demonstrate	VERB
ejpam-6149	492	4	that	that	SCONJ
ejpam-6149	492	5	the	the	DET
ejpam-6149	492	6	solutions	solution	NOUN
ejpam-6149	492	7	of	of	ADP
ejpam-6149	492	8	the	the	DET
ejpam-6149	492	9	covid-19	covid-19	PROPN
ejpam-6149	492	10	and	and	CCONJ
ejpam-6149	492	11	tuberculosis	tuberculosis	PRON
ejpam-6149	492	12	sub	sub	NOUN
ejpam-6149	492	13	-	-	NOUN
ejpam-6149	492	14	models	model	NOUN
ejpam-6149	492	15	are	be	AUX
ejpam-6149	492	16	unique	unique	ADJ
ejpam-6149	492	17	,	,	PUNCT
ejpam-6149	492	18	positive	positive	ADJ
ejpam-6149	492	19	,	,	PUNCT
ejpam-6149	492	20	and	and	CCONJ
ejpam-6149	492	21	bounded	bound	VERB
ejpam-6149	492	22	.	.	PUNCT
ejpam-6149	493	1	the	the	DET
ejpam-6149	493	2	equilibrium	equilibrium	NOUN
ejpam-6149	493	3	points	point	NOUN
ejpam-6149	493	4	and	and	CCONJ
ejpam-6149	493	5	basic	basic	ADJ
ejpam-6149	493	6	reproduction	reproduction	NOUN
ejpam-6149	493	7	numbers	number	NOUN
ejpam-6149	493	8	of	of	ADP
ejpam-6149	493	9	both	both	CCONJ
ejpam-6149	493	10	the	the	DET
ejpam-6149	493	11	sub	sub	NOUN
ejpam-6149	493	12	-	-	NOUN
ejpam-6149	493	13	models	model	NOUN
ejpam-6149	493	14	and	and	CCONJ
ejpam-6149	493	15	the	the	DET
ejpam-6149	493	16	co	co	NOUN
ejpam-6149	493	17	-	-	ADJ
ejpam-6149	493	18	infection	infection	ADJ
ejpam-6149	493	19	model	model	NOUN
ejpam-6149	493	20	were	be	AUX
ejpam-6149	493	21	computed	compute	VERB
ejpam-6149	493	22	independently	independently	ADV
ejpam-6149	493	23	.	.	PUNCT
ejpam-6149	494	1	subsequently	subsequently	ADV
ejpam-6149	494	2	,	,	PUNCT
ejpam-6149	494	3	it	it	PRON
ejpam-6149	494	4	is	be	AUX
ejpam-6149	494	5	shown	show	VERB
ejpam-6149	494	6	that	that	SCONJ
ejpam-6149	494	7	both	both	DET
ejpam-6149	494	8	sub	sub	NOUN
ejpam-6149	494	9	-	-	NOUN
ejpam-6149	494	10	models	model	NOUN
ejpam-6149	494	11	exhibit	exhibit	VERB
ejpam-6149	494	12	locally	locally	ADV
ejpam-6149	494	13	and	and	CCONJ
ejpam-6149	494	14	globally	globally	ADV
ejpam-6149	494	15	asymptotically	asymptotically	ADV
ejpam-6149	494	16	stable	stable	ADJ
ejpam-6149	494	17	at	at	ADP
ejpam-6149	494	18	the	the	DET
ejpam-6149	494	19	disease	disease	NOUN
ejpam-6149	494	20	-	-	PUNCT
ejpam-6149	494	21	free	free	ADJ
ejpam-6149	494	22	equilibrium	equilibrium	NOUN
ejpam-6149	494	23	when	when	SCONJ
ejpam-6149	494	24	the	the	DET
ejpam-6149	494	25	basic	basic	ADJ
ejpam-6149	494	26	reproduction	reproduction	NOUN
ejpam-6149	494	27	number	number	NOUN
ejpam-6149	494	28	is	be	AUX
ejpam-6149	494	29	less	less	ADJ
ejpam-6149	494	30	than	than	ADP
ejpam-6149	494	31	1	1	NUM
ejpam-6149	494	32	,	,	PUNCT
ejpam-6149	494	33	and	and	CCONJ
ejpam-6149	494	34	unstable	unstable	ADJ
ejpam-6149	494	35	otherwise	otherwise	ADV
ejpam-6149	494	36	.	.	PUNCT
ejpam-6149	495	1	additionally	additionally	ADV
ejpam-6149	495	2	,	,	PUNCT
ejpam-6149	495	3	the	the	DET
ejpam-6149	495	4	endemic	endemic	ADJ
ejpam-6149	495	5	equilibrium	equilibrium	NOUN
ejpam-6149	495	6	is	be	AUX
ejpam-6149	495	7	locally	locally	ADV
ejpam-6149	495	8	asymptotically	asymptotically	ADV
ejpam-6149	495	9	stable	stable	ADJ
ejpam-6149	495	10	when	when	SCONJ
ejpam-6149	495	11	the	the	DET
ejpam-6149	495	12	basic	basic	ADJ
ejpam-6149	495	13	reproduction	reproduction	NOUN
ejpam-6149	495	14	number	number	NOUN
ejpam-6149	495	15	exceeds	exceed	VERB
ejpam-6149	495	16	1	1	NUM
ejpam-6149	495	17	.	.	PUNCT
ejpam-6149	496	1	moreover	moreover	ADV
ejpam-6149	496	2	,	,	PUNCT
ejpam-6149	496	3	the	the	DET
ejpam-6149	496	4	co	co	NOUN
ejpam-6149	496	5	-	-	ADJ
ejpam-6149	496	6	infection	infection	ADJ
ejpam-6149	496	7	model	model	NOUN
ejpam-6149	496	8	is	be	AUX
ejpam-6149	496	9	locally	locally	ADV
ejpam-6149	496	10	and	and	CCONJ
ejpam-6149	496	11	globally	globally	ADV
ejpam-6149	496	12	asymptotically	asymptotically	ADV
ejpam-6149	496	13	stable	stable	ADJ
ejpam-6149	496	14	at	at	ADP
ejpam-6149	496	15	the	the	DET
ejpam-6149	496	16	disease	disease	NOUN
ejpam-6149	496	17	-	-	PUNCT
ejpam-6149	496	18	free	free	ADJ
ejpam-6149	496	19	equilibrium	equilibrium	NOUN
ejpam-6149	496	20	when	when	SCONJ
ejpam-6149	496	21	the	the	DET
ejpam-6149	496	22	maximum	maximum	ADJ
ejpam-6149	496	23	reproduction	reproduction	NOUN
ejpam-6149	496	24	number	number	NOUN
ejpam-6149	496	25	of	of	ADP
ejpam-6149	496	26	the	the	DET
ejpam-6149	496	27	sub	sub	NOUN
ejpam-6149	496	28	-	-	NOUN
ejpam-6149	496	29	models	model	NOUN
ejpam-6149	496	30	is	be	AUX
ejpam-6149	496	31	less	less	ADJ
ejpam-6149	496	32	than	than	ADP
ejpam-6149	496	33	1	1	NUM
ejpam-6149	496	34	.	.	PUNCT
ejpam-6149	497	1	to	to	PART
ejpam-6149	497	2	further	far	ADV
ejpam-6149	497	3	support	support	VERB
ejpam-6149	497	4	and	and	CCONJ
ejpam-6149	497	5	illustrate	illustrate	VERB
ejpam-6149	497	6	these	these	DET
ejpam-6149	497	7	analytical	analytical	ADJ
ejpam-6149	497	8	findings	finding	NOUN
ejpam-6149	497	9	,	,	PUNCT
ejpam-6149	497	10	multiple	multiple	ADJ
ejpam-6149	497	11	numerical	numerical	ADJ
ejpam-6149	497	12	simulations	simulation	NOUN
ejpam-6149	497	13	were	be	AUX
ejpam-6149	497	14	conducted	conduct	VERB
ejpam-6149	497	15	.	.	PUNCT
ejpam-6149	498	1	the	the	DET
ejpam-6149	498	2	results	result	NOUN
ejpam-6149	498	3	of	of	ADP
ejpam-6149	498	4	these	these	DET
ejpam-6149	498	5	simulations	simulation	NOUN
ejpam-6149	498	6	indicate	indicate	VERB
ejpam-6149	498	7	that	that	SCONJ
ejpam-6149	498	8	quarantine	quarantine	NOUN
ejpam-6149	498	9	measures	measure	NOUN
ejpam-6149	498	10	effectively	effectively	ADV
ejpam-6149	498	11	mitigate	mitigate	VERB
ejpam-6149	498	12	the	the	DET
ejpam-6149	498	13	spread	spread	NOUN
ejpam-6149	498	14	of	of	ADP
ejpam-6149	498	15	both	both	DET
ejpam-6149	498	16	diseases	disease	NOUN
ejpam-6149	498	17	.	.	PUNCT
ejpam-6149	499	1	based	base	VERB
ejpam-6149	499	2	on	on	ADP
ejpam-6149	499	3	the	the	DET
ejpam-6149	499	4	model	model	NOUN
ejpam-6149	499	5	results	result	NOUN
ejpam-6149	499	6	,	,	PUNCT
ejpam-6149	499	7	public	public	ADJ
ejpam-6149	499	8	health	health	NOUN
ejpam-6149	499	9	initiatives	initiative	NOUN
ejpam-6149	499	10	should	should	AUX
ejpam-6149	499	11	prioritize	prioritize	VERB
ejpam-6149	499	12	the	the	DET
ejpam-6149	499	13	strengthening	strengthening	NOUN
ejpam-6149	499	14	of	of	ADP
ejpam-6149	499	15	quarantine	quarantine	NOUN
ejpam-6149	499	16	measures	measure	NOUN
ejpam-6149	499	17	for	for	ADP
ejpam-6149	499	18	individuals	individual	NOUN
ejpam-6149	499	19	infected	infect	VERB
ejpam-6149	499	20	with	with	ADP
ejpam-6149	499	21	covid-19	covid-19	PROPN
ejpam-6149	499	22	,	,	PUNCT
ejpam-6149	499	23	tuberculosis	tuberculosis	NOUN
ejpam-6149	499	24	,	,	PUNCT
ejpam-6149	499	25	or	or	CCONJ
ejpam-6149	499	26	both	both	PRON
ejpam-6149	499	27	.	.	PUNCT
ejpam-6149	500	1	quarantine	quarantine	NOUN
ejpam-6149	500	2	interventions	intervention	NOUN
ejpam-6149	500	3	effectively	effectively	ADV
ejpam-6149	500	4	reduce	reduce	VERB
ejpam-6149	500	5	the	the	DET
ejpam-6149	500	6	basic	basic	ADJ
ejpam-6149	500	7	reproduction	reproduction	NOUN
ejpam-6149	500	8	number	number	NOUN
ejpam-6149	500	9	below	below	ADP
ejpam-6149	500	10	unity	unity	NOUN
ejpam-6149	500	11	,	,	PUNCT
ejpam-6149	500	12	thereby	thereby	ADV
ejpam-6149	500	13	demonstrating	demonstrate	VERB
ejpam-6149	500	14	their	their	PRON
ejpam-6149	500	15	critical	critical	ADJ
ejpam-6149	500	16	role	role	NOUN
ejpam-6149	500	17	as	as	ADP
ejpam-6149	500	18	a	a	DET
ejpam-6149	500	19	fundamental	fundamental	ADJ
ejpam-6149	500	20	public	public	ADJ
ejpam-6149	500	21	health	health	NOUN
ejpam-6149	500	22	strategy	strategy	NOUN
ejpam-6149	500	23	for	for	ADP
ejpam-6149	500	24	controlling	control	VERB
ejpam-6149	500	25	current	current	ADJ
ejpam-6149	500	26	co	co	ADJ
ejpam-6149	500	27	-	-	NOUN
ejpam-6149	500	28	infection	infection	ADJ
ejpam-6149	500	29	outbreaks	outbreak	NOUN
ejpam-6149	500	30	.	.	PUNCT
ejpam-6149	501	1	furthermore	furthermore	ADV
ejpam-6149	501	2	,	,	PUNCT
ejpam-6149	501	3	integrating	integrate	VERB
ejpam-6149	501	4	quarantine	quarantine	NOUN
ejpam-6149	501	5	protocols	protocol	NOUN
ejpam-6149	501	6	could	could	AUX
ejpam-6149	501	7	significantly	significantly	ADV
ejpam-6149	501	8	enhance	enhance	VERB
ejpam-6149	501	9	disease	disease	NOUN
ejpam-6149	501	10	mitigation	mitigation	NOUN
ejpam-6149	501	11	and	and	CCONJ
ejpam-6149	501	12	may	may	AUX
ejpam-6149	501	13	ultimately	ultimately	ADV
ejpam-6149	501	14	lead	lead	VERB
ejpam-6149	501	15	to	to	ADP
ejpam-6149	501	16	the	the	DET
ejpam-6149	501	17	eradication	eradication	NOUN
ejpam-6149	501	18	of	of	ADP
ejpam-6149	501	19	covid-19	covid-19	PROPN
ejpam-6149	501	20	and	and	CCONJ
ejpam-6149	501	21	tuberculosis	tuberculosis	PRON
ejpam-6149	501	22	co	co	NOUN
ejpam-6149	501	23	-	-	NOUN
ejpam-6149	501	24	infections	infection	NOUN
ejpam-6149	501	25	.	.	PUNCT
ejpam-6149	502	1	this	this	DET
ejpam-6149	502	2	study	study	NOUN
ejpam-6149	502	3	assumes	assume	VERB
ejpam-6149	502	4	a	a	DET
ejpam-6149	502	5	homogeneous	homogeneous	ADJ
ejpam-6149	502	6	population	population	NOUN
ejpam-6149	502	7	structure	structure	NOUN
ejpam-6149	502	8	without	without	ADP
ejpam-6149	502	9	accounting	account	VERB
ejpam-6149	502	10	for	for	ADP
ejpam-6149	502	11	differences	difference	NOUN
ejpam-6149	502	12	in	in	ADP
ejpam-6149	502	13	age	age	NOUN
ejpam-6149	502	14	,	,	PUNCT
ejpam-6149	502	15	immunity	immunity	NOUN
ejpam-6149	502	16	levels	level	NOUN
ejpam-6149	502	17	,	,	PUNCT
ejpam-6149	502	18	or	or	CCONJ
ejpam-6149	502	19	social	social	ADJ
ejpam-6149	502	20	behavior	behavior	NOUN
ejpam-6149	502	21	,	,	PUNCT
ejpam-6149	502	22	which	which	PRON
ejpam-6149	502	23	may	may	AUX
ejpam-6149	502	24	affect	affect	VERB
ejpam-6149	502	25	disease	disease	NOUN
ejpam-6149	502	26	transmission	transmission	NOUN
ejpam-6149	502	27	dynamics	dynamic	NOUN
ejpam-6149	502	28	in	in	ADP
ejpam-6149	502	29	real	real	ADJ
ejpam-6149	502	30	-	-	PUNCT
ejpam-6149	502	31	world	world	NOUN
ejpam-6149	502	32	settings	setting	NOUN
ejpam-6149	502	33	.	.	PUNCT
ejpam-6149	503	1	additionally	additionally	ADV
ejpam-6149	503	2	,	,	PUNCT
ejpam-6149	503	3	the	the	DET
ejpam-6149	503	4	model	model	NOUN
ejpam-6149	503	5	does	do	AUX
ejpam-6149	503	6	not	not	PART
ejpam-6149	503	7	explicitly	explicitly	ADV
ejpam-6149	503	8	incorporate	incorporate	VERB
ejpam-6149	503	9	vaccination	vaccination	NOUN
ejpam-6149	503	10	strategies	strategy	NOUN
ejpam-6149	503	11	or	or	CCONJ
ejpam-6149	503	12	their	their	PRON
ejpam-6149	503	13	effects	effect	NOUN
ejpam-6149	503	14	,	,	PUNCT
ejpam-6149	503	15	such	such	ADJ
ejpam-6149	503	16	as	as	ADP
ejpam-6149	503	17	vaccine	vaccine	NOUN
ejpam-6149	503	18	efficacy	efficacy	NOUN
ejpam-6149	503	19	,	,	PUNCT
ejpam-6149	503	20	coverage	coverage	NOUN
ejpam-6149	503	21	,	,	PUNCT
ejpam-6149	503	22	or	or	CCONJ
ejpam-6149	503	23	waning	wane	VERB
ejpam-6149	503	24	immunity	immunity	NOUN
ejpam-6149	503	25	,	,	PUNCT
ejpam-6149	503	26	which	which	PRON
ejpam-6149	503	27	are	be	AUX
ejpam-6149	503	28	critical	critical	ADJ
ejpam-6149	503	29	factors	factor	NOUN
ejpam-6149	503	30	in	in	ADP
ejpam-6149	503	31	controlling	control	VERB
ejpam-6149	503	32	covid-19	covid-19	PROPN
ejpam-6149	503	33	and	and	CCONJ
ejpam-6149	503	34	tuberculosis	tuberculosis	PRON
ejpam-6149	503	35	co	co	NOUN
ejpam-6149	503	36	-	-	NOUN
ejpam-6149	503	37	infections	infection	NOUN
ejpam-6149	503	38	.	.	PUNCT
ejpam-6149	504	1	future	future	ADJ
ejpam-6149	504	2	work	work	NOUN
ejpam-6149	504	3	could	could	AUX
ejpam-6149	504	4	extend	extend	VERB
ejpam-6149	504	5	the	the	DET
ejpam-6149	504	6	current	current	ADJ
ejpam-6149	504	7	model	model	NOUN
ejpam-6149	504	8	to	to	PART
ejpam-6149	504	9	include	include	VERB
ejpam-6149	504	10	population	population	NOUN
ejpam-6149	504	11	heterogeneity	heterogeneity	NOUN
ejpam-6149	504	12	,	,	PUNCT
ejpam-6149	504	13	vaccination	vaccination	NOUN
ejpam-6149	504	14	and	and	CCONJ
ejpam-6149	504	15	reinfection	reinfection	NOUN
ejpam-6149	504	16	dynamics	dynamic	NOUN
ejpam-6149	504	17	to	to	PART
ejpam-6149	504	18	provide	provide	VERB
ejpam-6149	504	19	a	a	DET
ejpam-6149	504	20	more	more	ADV
ejpam-6149	504	21	comprehensive	comprehensive	ADJ
ejpam-6149	504	22	assessment	assessment	NOUN
ejpam-6149	504	23	of	of	ADP
ejpam-6149	504	24	intervention	intervention	NOUN
ejpam-6149	504	25	strategies	strategy	NOUN
ejpam-6149	504	26	.	.	PUNCT
ejpam-6149	505	1	conflict	conflict	NOUN
ejpam-6149	505	2	of	of	ADP
ejpam-6149	505	3	interest	interest	NOUN
ejpam-6149	505	4	the	the	DET
ejpam-6149	505	5	authors	author	NOUN
ejpam-6149	505	6	declare	declare	VERB
ejpam-6149	505	7	no	no	DET
ejpam-6149	505	8	conflicts	conflict	NOUN
ejpam-6149	505	9	interest	interest	NOUN
ejpam-6149	505	10	.	.	PUNCT
ejpam-6149	506	1	acknowledgements	acknowledgement	NOUN
ejpam-6149	506	2	the	the	DET
ejpam-6149	506	3	authors	author	NOUN
ejpam-6149	506	4	would	would	AUX
ejpam-6149	506	5	like	like	VERB
ejpam-6149	506	6	to	to	PART
ejpam-6149	506	7	thank	thank	VERB
ejpam-6149	506	8	everyone	everyone	PRON
ejpam-6149	506	9	who	who	PRON
ejpam-6149	506	10	supported	support	VERB
ejpam-6149	506	11	and	and	CCONJ
ejpam-6149	506	12	contributed	contribute	VERB
ejpam-6149	506	13	to	to	ADP
ejpam-6149	506	14	this	this	DET
ejpam-6149	506	15	study	study	NOUN
ejpam-6149	506	16	.	.	PUNCT
ejpam-6149	507	1	special	special	ADJ
ejpam-6149	507	2	thanks	thank	NOUN
ejpam-6149	507	3	to	to	ADP
ejpam-6149	507	4	our	our	PRON
ejpam-6149	507	5	colleagues	colleague	NOUN
ejpam-6149	507	6	for	for	ADP
ejpam-6149	507	7	their	their	PRON
ejpam-6149	507	8	valuable	valuable	ADJ
ejpam-6149	507	9	insights	insight	NOUN
ejpam-6149	507	10	,	,	PUNCT
ejpam-6149	507	11	constructive	constructive	ADJ
ejpam-6149	507	12	feedback	feedback	NOUN
ejpam-6149	507	13	,	,	PUNCT
ejpam-6149	507	14	and	and	CCONJ
ejpam-6149	507	15	continued	continue	VERB
ejpam-6149	507	16	support	support	NOUN
ejpam-6149	507	17	throughout	throughout	ADP
ejpam-6149	507	18	the	the	DET
ejpam-6149	507	19	research	research	NOUN
ejpam-6149	507	20	process	process	NOUN
ejpam-6149	507	21	.	.	PUNCT
ejpam-6149	508	1	references	reference	NOUN
ejpam-6149	508	2	[	[	X
ejpam-6149	508	3	1	1	NUM
ejpam-6149	508	4	]	]	PUNCT
ejpam-6149	508	5	appiah	appiah	PROPN
ejpam-6149	508	6	,	,	PUNCT
ejpam-6149	508	7	r.	r.	PROPN
ejpam-6149	508	8	f.	f.	PROPN
ejpam-6149	508	9	,	,	PUNCT
ejpam-6149	508	10	jin	jin	PROPN
ejpam-6149	508	11	,	,	PUNCT
ejpam-6149	508	12	z.	z.	PROPN
ejpam-6149	508	13	,	,	PUNCT
ejpam-6149	508	14	yang	yang	PROPN
ejpam-6149	508	15	,	,	PUNCT
ejpam-6149	508	16	j.	j.	PROPN
ejpam-6149	508	17	,	,	PUNCT
ejpam-6149	508	18	asamoah	asamoah	PROPN
ejpam-6149	508	19	,	,	PUNCT
ejpam-6149	508	20	j.	j.	PROPN
ejpam-6149	508	21	k.	k.	PROPN
ejpam-6149	508	22	k.	k.	PROPN
ejpam-6149	508	23	,	,	PUNCT
ejpam-6149	508	24	&	&	CCONJ
ejpam-6149	508	25	wen	wen	PROPN
ejpam-6149	508	26	,	,	PUNCT
ejpam-6149	508	27	y.	y.	PROPN
ejpam-6149	508	28	(	(	PUNCT
ejpam-6149	508	29	2024	2024	NUM
ejpam-6149	508	30	)	)	PUNCT
ejpam-6149	508	31	.	.	PUNCT
ejpam-6149	509	1	mathematical	mathematical	ADJ
ejpam-6149	509	2	modeling	modeling	NOUN
ejpam-6149	509	3	of	of	ADP
ejpam-6149	509	4	two	two	NUM
ejpam-6149	509	5	strains	strain	NOUN
ejpam-6149	509	6	tuberculosis	tuberculosis	NOUN
ejpam-6149	509	7	and	and	CCONJ
ejpam-6149	509	8	covid-19	covid-19	PROPN
ejpam-6149	509	9	vaccination	vaccination	NOUN
ejpam-6149	509	10	model	model	NOUN
ejpam-6149	509	11	:	:	PUNCT
ejpam-6149	509	12	a	a	DET
ejpam-6149	509	13	co	co	NOUN
ejpam-6149	509	14	-	-	ADJ
ejpam-6149	509	15	infection	infection	ADJ
ejpam-6149	509	16	study	study	NOUN
ejpam-6149	509	17	with	with	ADP
ejpam-6149	509	18	cost	cost	NOUN
ejpam-6149	509	19	-	-	PUNCT
ejpam-6149	509	20	effectiveness	effectiveness	NOUN
ejpam-6149	509	21	analysis	analysis	NOUN
ejpam-6149	509	22	.	.	PUNCT
ejpam-6149	510	1	frontiers	frontier	NOUN
ejpam-6149	510	2	in	in	ADP
ejpam-6149	510	3	applied	apply	VERB
ejpam-6149	510	4	mathematics	mathematic	NOUN
ejpam-6149	510	5	and	and	CCONJ
ejpam-6149	510	6	statistics	statistic	NOUN
ejpam-6149	510	7	,	,	PUNCT
ejpam-6149	510	8	10	10	NUM
ejpam-6149	510	9	,	,	PUNCT
ejpam-6149	510	10	1373565	1373565	NUM
ejpam-6149	510	11	.	.	PUNCT
ejpam-6149	511	1	https://doi.org/10.3389/fams.2024.1373565	https://doi.org/10.3389/fams.2024.1373565	PROPN
ejpam-6149	511	2	[	[	X
ejpam-6149	511	3	2	2	X
ejpam-6149	511	4	]	]	X
ejpam-6149	511	5	bandekar	bandekar	PROPN
ejpam-6149	511	6	,	,	PUNCT
ejpam-6149	511	7	s.	s.	PROPN
ejpam-6149	511	8	r.	r.	PROPN
ejpam-6149	511	9	,	,	PUNCT
ejpam-6149	511	10	&	&	CCONJ
ejpam-6149	511	11	ghosh	ghosh	PROPN
ejpam-6149	511	12	,	,	PUNCT
ejpam-6149	511	13	m.	m.	NOUN
ejpam-6149	511	14	(	(	PUNCT
ejpam-6149	511	15	2022	2022	NUM
ejpam-6149	511	16	)	)	PUNCT
ejpam-6149	511	17	.	.	PUNCT
ejpam-6149	512	1	a	a	DET
ejpam-6149	512	2	co	co	ADJ
ejpam-6149	512	3	-	-	ADJ
ejpam-6149	512	4	infection	infection	NOUN
ejpam-6149	512	5	model	model	NOUN
ejpam-6149	512	6	on	on	ADP
ejpam-6149	512	7	tb	tb	ADP
ejpam-6149	512	8	covid-19	covid-19	PROPN
ejpam-6149	512	9	with	with	ADP
ejpam-6149	512	10	optimal	optimal	ADJ
ejpam-6149	512	11	control	control	NOUN
ejpam-6149	512	12	and	and	CCONJ
ejpam-6149	512	13	sensitivity	sensitivity	NOUN
ejpam-6149	512	14	analysis	analysis	NOUN
ejpam-6149	512	15	.	.	PUNCT
ejpam-6149	513	1	mathematics	mathematic	NOUN
ejpam-6149	513	2	and	and	CCONJ
ejpam-6149	513	3	computers	computer	NOUN
ejpam-6149	513	4	in	in	ADP
ejpam-6149	513	5	simulation	simulation	NOUN
ejpam-6149	513	6	,	,	PUNCT
ejpam-6149	513	7	200	200	NUM
ejpam-6149	513	8	,	,	PUNCT
ejpam-6149	513	9	1–31	1–31	PROPN
ejpam-6149	513	10	.	.	PUNCT
ejpam-6149	514	1	https://doi.org/10.1016/j.matcom.2022.04.001	https://doi.org/10.1016/j.matcom.2022.04.001	PROPN
ejpam-6149	514	2	j.	j.	PROPN
ejpam-6149	514	3	puebla	puebla	PROPN
ejpam-6149	514	4	,	,	PUNCT
ejpam-6149	514	5	jm	jm	PROPN
ejpam-6149	514	6	.	.	PROPN
ejpam-6149	514	7	macalalag	macalalag	PROPN
ejpam-6149	514	8	,	,	PUNCT
ejpam-6149	514	9	k.	k.	PROPN
ejpam-6149	514	10	pajaron	pajaron	PROPN
ejpam-6149	514	11	/	/	SYM
ejpam-6149	514	12	eur	eur	PROPN
ejpam-6149	514	13	.	.	PUNCT
ejpam-6149	515	1	j.	j.	PROPN
ejpam-6149	515	2	pure	pure	PROPN
ejpam-6149	515	3	appl	appl	PROPN
ejpam-6149	515	4	.	.	PROPN
ejpam-6149	515	5	math	math	PROPN
ejpam-6149	515	6	,	,	PUNCT
ejpam-6149	515	7	18	18	NUM
ejpam-6149	515	8	(	(	PUNCT
ejpam-6149	515	9	3	3	NUM
ejpam-6149	515	10	)	)	PUNCT
ejpam-6149	515	11	(	(	PUNCT
ejpam-6149	515	12	2025	2025	NUM
ejpam-6149	515	13	)	)	PUNCT
ejpam-6149	515	14	,	,	PUNCT
ejpam-6149	515	15	6149	6149	NUM
ejpam-6149	515	16	26	26	NUM
ejpam-6149	515	17	of	of	ADP
ejpam-6149	515	18	28	28	NUM
ejpam-6149	515	19	[	[	X
ejpam-6149	515	20	3	3	NUM
ejpam-6149	515	21	]	]	X
ejpam-6149	515	22	bernstein	bernstein	PROPN
ejpam-6149	515	23	,	,	PUNCT
ejpam-6149	515	24	d.	d.	PROPN
ejpam-6149	515	25	,	,	PUNCT
ejpam-6149	515	26	&	&	CCONJ
ejpam-6149	515	27	bhat	bhat	PROPN
ejpam-6149	515	28	,	,	PUNCT
ejpam-6149	515	29	s.	s.	PROPN
ejpam-6149	515	30	(	(	PUNCT
ejpam-6149	515	31	1999	1999	NUM
ejpam-6149	515	32	)	)	PUNCT
ejpam-6149	515	33	.	.	PUNCT
ejpam-6149	516	1	nonnegativity	nonnegativity	NOUN
ejpam-6149	516	2	,	,	PUNCT
ejpam-6149	516	3	reducibility	reducibility	NOUN
ejpam-6149	516	4	,	,	PUNCT
ejpam-6149	516	5	and	and	CCONJ
ejpam-6149	516	6	semistability	semistability	NOUN
ejpam-6149	516	7	of	of	ADP
ejpam-6149	516	8	mass	mass	ADJ
ejpam-6149	516	9	action	action	NOUN
ejpam-6149	516	10	kinetics	kinetic	NOUN
ejpam-6149	516	11	.	.	PUNCT
ejpam-6149	517	1	proceedings	proceeding	NOUN
ejpam-6149	517	2	of	of	ADP
ejpam-6149	517	3	the	the	DET
ejpam-6149	517	4	38th	38th	ADJ
ejpam-6149	517	5	ieee	ieee	NOUN
ejpam-6149	517	6	conference	conference	NOUN
ejpam-6149	517	7	on	on	ADP
ejpam-6149	517	8	decision	decision	NOUN
ejpam-6149	517	9	and	and	CCONJ
ejpam-6149	517	10	control	control	NOUN
ejpam-6149	517	11	(	(	PUNCT
ejpam-6149	517	12	cat	cat	NOUN
ejpam-6149	517	13	.	.	PUNCT
ejpam-6149	518	1	no.99ch36304	no.99ch36304	PROPN
ejpam-6149	518	2	)	)	PUNCT
ejpam-6149	518	3	.	.	PUNCT
ejpam-6149	519	1	https://doi.org/10.1109/cdc.1999.831248	https://doi.org/10.1109/cdc.1999.831248	NOUN
ejpam-6149	520	1	[	[	X
ejpam-6149	520	2	4	4	X
ejpam-6149	520	3	]	]	SYM
ejpam-6149	520	4	birkhoff	birkhoff	NOUN
ejpam-6149	520	5	g	g	PROPN
ejpam-6149	520	6	,	,	PUNCT
ejpam-6149	520	7	rota	rota	PROPN
ejpam-6149	520	8	gc	gc	PROPN
ejpam-6149	520	9	.	.	PROPN
ejpam-6149	521	1	ordinary	ordinary	ADJ
ejpam-6149	521	2	differential	differential	ADJ
ejpam-6149	521	3	equations	equation	NOUN
ejpam-6149	521	4	.	.	PUNCT
ejpam-6149	522	1	4th	4th	ADJ
ejpam-6149	522	2	ed	ed	NOUN
ejpam-6149	522	3	..	..	PUNCT
ejpam-6149	522	4	new	new	PROPN
ejpam-6149	522	5	york	york	PROPN
ejpam-6149	522	6	:	:	PUNCT
ejpam-6149	522	7	john	john	PROPN
ejpam-6149	522	8	wiley	wiley	PROPN
ejpam-6149	522	9	and	and	CCONJ
ejpam-6149	522	10	sons	sons	PROPN
ejpam-6149	522	11	inc	inc	PROPN
ejpam-6149	522	12	;	;	PUNCT
ejpam-6149	522	13	1989	1989	NUM
ejpam-6149	522	14	.	.	PUNCT
ejpam-6149	523	1	[	[	X
ejpam-6149	523	2	5	5	NUM
ejpam-6149	523	3	]	]	X
ejpam-6149	523	4	boudaoui	boudaoui	ADJ
ejpam-6149	523	5	,	,	PUNCT
ejpam-6149	523	6	a.	a.	PROPN
ejpam-6149	523	7	,	,	PUNCT
ejpam-6149	523	8	moussa	moussa	PROPN
ejpam-6149	523	9	,	,	PUNCT
ejpam-6149	523	10	y.	y.	PROPN
ejpam-6149	523	11	e.	e.	PROPN
ejpam-6149	523	12	h.	h.	PROPN
ejpam-6149	523	13	,	,	PUNCT
ejpam-6149	523	14	hammouch	hammouch	ADJ
ejpam-6149	523	15	,	,	PUNCT
ejpam-6149	523	16	z.	z.	PROPN
ejpam-6149	523	17	,	,	PUNCT
ejpam-6149	523	18	&	&	CCONJ
ejpam-6149	523	19	ullah	ullah	PROPN
ejpam-6149	523	20	,	,	PUNCT
ejpam-6149	523	21	s.	s.	PROPN
ejpam-6149	523	22	(	(	PUNCT
ejpam-6149	523	23	2021	2021	NUM
ejpam-6149	523	24	)	)	PUNCT
ejpam-6149	523	25	.	.	PUNCT
ejpam-6149	524	1	a	a	DET
ejpam-6149	524	2	fractional	fractional	ADJ
ejpam-6149	524	3	-	-	PUNCT
ejpam-6149	524	4	order	order	NOUN
ejpam-6149	524	5	model	model	NOUN
ejpam-6149	524	6	describing	describe	VERB
ejpam-6149	524	7	the	the	DET
ejpam-6149	524	8	dynamics	dynamic	NOUN
ejpam-6149	524	9	of	of	ADP
ejpam-6149	524	10	the	the	DET
ejpam-6149	524	11	novel	novel	ADJ
ejpam-6149	524	12	coronavirus	coronavirus	NOUN
ejpam-6149	524	13	(	(	PUNCT
ejpam-6149	524	14	covid-19	covid-19	PROPN
ejpam-6149	524	15	)	)	PUNCT
ejpam-6149	524	16	with	with	ADP
ejpam-6149	524	17	nonsingular	nonsingular	ADJ
ejpam-6149	524	18	kernel	kernel	PROPN
ejpam-6149	524	19	.	.	PUNCT
ejpam-6149	525	1	chaos	chaos	NOUN
ejpam-6149	525	2	,	,	PUNCT
ejpam-6149	525	3	solitons	soliton	NOUN
ejpam-6149	525	4	&	&	CCONJ
ejpam-6149	525	5	fractals	fractal	NOUN
ejpam-6149	525	6	,	,	PUNCT
ejpam-6149	525	7	146	146	NUM
ejpam-6149	525	8	,	,	PUNCT
ejpam-6149	525	9	article	article	NOUN
ejpam-6149	525	10	110859	110859	NUM
ejpam-6149	525	11	.	.	PUNCT
ejpam-6149	526	1	https://doi.org/10.1016/j.chaos.2021.110859	https://doi.org/10.1016/j.chaos.2021.110859	PROPN
ejpam-6149	527	1	[	[	X
ejpam-6149	527	2	6	6	NUM
ejpam-6149	527	3	]	]	X
ejpam-6149	527	4	bronson	bronson	PROPN
ejpam-6149	527	5	,	,	PUNCT
ejpam-6149	527	6	r.	r.	PROPN
ejpam-6149	527	7	(	(	PUNCT
ejpam-6149	527	8	1994	1994	NUM
ejpam-6149	527	9	)	)	PUNCT
ejpam-6149	527	10	.	.	PUNCT
ejpam-6149	528	1	schaum	schaum	PROPN
ejpam-6149	528	2	’s	’s	PART
ejpam-6149	528	3	outline	outline	NOUN
ejpam-6149	528	4	of	of	ADP
ejpam-6149	528	5	theory	theory	NOUN
ejpam-6149	528	6	and	and	CCONJ
ejpam-6149	528	7	problems	problem	NOUN
ejpam-6149	528	8	of	of	ADP
ejpam-6149	528	9	differential	differential	ADJ
ejpam-6149	528	10	equations	equation	NOUN
ejpam-6149	528	11	.	.	PUNCT
ejpam-6149	529	1	mcgraw	mcgraw	PROPN
ejpam-6149	529	2	hill	hill	PROPN
ejpam-6149	529	3	professional	professional	PROPN
ejpam-6149	529	4	.	.	PUNCT
ejpam-6149	530	1	[	[	X
ejpam-6149	530	2	7	7	X
ejpam-6149	530	3	]	]	X
ejpam-6149	530	4	castillo	castillo	PROPN
ejpam-6149	530	5	-	-	PUNCT
ejpam-6149	530	6	chavez	chavez	PROPN
ejpam-6149	530	7	,	,	PUNCT
ejpam-6149	530	8	c.	c.	PROPN
ejpam-6149	530	9	,	,	PUNCT
ejpam-6149	530	10	feng	feng	PROPN
ejpam-6149	530	11	,	,	PUNCT
ejpam-6149	530	12	z.	z.	PROPN
ejpam-6149	530	13	,	,	PUNCT
ejpam-6149	530	14	&	&	CCONJ
ejpam-6149	530	15	huang	huang	PROPN
ejpam-6149	530	16	,	,	PUNCT
ejpam-6149	530	17	w.	w.	PROPN
ejpam-6149	530	18	(	(	PUNCT
ejpam-6149	530	19	2002	2002	NUM
ejpam-6149	530	20	)	)	PUNCT
ejpam-6149	530	21	.	.	PUNCT
ejpam-6149	531	1	on	on	ADP
ejpam-6149	531	2	the	the	DET
ejpam-6149	531	3	computation	computation	NOUN
ejpam-6149	531	4	of	of	ADP
ejpam-6149	531	5	r0	r0	NOUN
ejpam-6149	531	6	and	and	CCONJ
ejpam-6149	531	7	its	its	PRON
ejpam-6149	531	8	role	role	NOUN
ejpam-6149	531	9	on	on	ADP
ejpam-6149	531	10	global	global	ADJ
ejpam-6149	531	11	stability	stability	NOUN
ejpam-6149	531	12	.	.	PUNCT
ejpam-6149	532	1	mathematical	mathematical	ADJ
ejpam-6149	532	2	approaches	approach	NOUN
ejpam-6149	532	3	for	for	ADP
ejpam-6149	532	4	emerging	emerge	VERB
ejpam-6149	532	5	and	and	CCONJ
ejpam-6149	532	6	reemerging	reemerging	ADJ
ejpam-6149	532	7	infectious	infectious	ADJ
ejpam-6149	532	8	diseases	disease	NOUN
ejpam-6149	532	9	:	:	PUNCT
ejpam-6149	532	10	an	an	DET
ejpam-6149	532	11	introduction	introduction	NOUN
ejpam-6149	532	12	,	,	PUNCT
ejpam-6149	532	13	229	229	NUM
ejpam-6149	532	14	-	-	SYM
ejpam-6149	532	15	250	250	NUM
ejpam-6149	532	16	.	.	PUNCT
ejpam-6149	533	1	https://doi.org/10.1007/978-1-4757-3667-0	https://doi.org/10.1007/978-1-4757-3667-0	PROPN
ejpam-6149	533	2	13	13	NUM
ejpam-6149	534	1	[	[	SYM
ejpam-6149	534	2	8	8	NUM
ejpam-6149	534	3	]	]	PUNCT
ejpam-6149	534	4	coronavirus	coronavirus	NOUN
ejpam-6149	534	5	disease	disease	NOUN
ejpam-6149	534	6	(	(	PUNCT
ejpam-6149	534	7	covid-19	covid-19	PROPN
ejpam-6149	534	8	)	)	PUNCT
ejpam-6149	534	9	pandemic	pandemic	NOUN
ejpam-6149	534	10	.	.	PUNCT
ejpam-6149	535	1	(	(	PUNCT
ejpam-6149	535	2	2023	2023	NUM
ejpam-6149	535	3	,	,	PUNCT
ejpam-6149	535	4	may	may	AUX
ejpam-6149	535	5	24	24	NUM
ejpam-6149	535	6	)	)	PUNCT
ejpam-6149	535	7	.	.	PUNCT
ejpam-6149	536	1	https://www.who.int/europe/emergencies/situations/covid-19	https://www.who.int/europe/emergencies/situations/covid-19	PUNCT
ejpam-6149	537	1	[	[	X
ejpam-6149	537	2	9	9	NUM
ejpam-6149	537	3	]	]	SYM
ejpam-6149	537	4	chen	chen	PROPN
ejpam-6149	537	5	,	,	PUNCT
ejpam-6149	537	6	y.	y.	PROPN
ejpam-6149	537	7	,	,	PUNCT
ejpam-6149	537	8	wang	wang	PROPN
ejpam-6149	537	9	,	,	PUNCT
ejpam-6149	537	10	y.	y.	PROPN
ejpam-6149	537	11	,	,	PUNCT
ejpam-6149	537	12	fleming	fleming	PROPN
ejpam-6149	537	13	,	,	PUNCT
ejpam-6149	537	14	j.	j.	PROPN
ejpam-6149	537	15	&	&	CCONJ
ejpam-6149	537	16	et	et	PROPN
ejpam-6149	537	17	al	al	PROPN
ejpam-6149	537	18	.	.	PROPN
ejpam-6149	538	1	active	active	ADJ
ejpam-6149	538	2	or	or	CCONJ
ejpam-6149	538	3	latent	latent	ADJ
ejpam-6149	538	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	538	5	increases	increase	VERB
ejpam-6149	538	6	susceptibility	susceptibility	NOUN
ejpam-6149	538	7	to	to	ADP
ejpam-6149	538	8	covid-19	covid-19	PROPN
ejpam-6149	538	9	and	and	CCONJ
ejpam-6149	538	10	disease	disease	NOUN
ejpam-6149	538	11	severity	severity	NOUN
ejpam-6149	538	12	[	[	X
ejpam-6149	538	13	10	10	NUM
ejpam-6149	538	14	]	]	X
ejpam-6149	538	15	covid-19	covid-19	PROPN
ejpam-6149	538	16	and	and	CCONJ
ejpam-6149	538	17	your	your	PRON
ejpam-6149	538	18	health	health	NOUN
ejpam-6149	538	19	.	.	PUNCT
ejpam-6149	539	1	(	(	PUNCT
ejpam-6149	539	2	2020	2020	NUM
ejpam-6149	539	3	,	,	PUNCT
ejpam-6149	539	4	february	february	PROPN
ejpam-6149	539	5	11	11	NUM
ejpam-6149	539	6	)	)	PUNCT
ejpam-6149	539	7	.	.	PUNCT
ejpam-6149	540	1	centers	center	NOUN
ejpam-6149	540	2	for	for	ADP
ejpam-6149	540	3	disease	disease	NOUN
ejpam-6149	540	4	control	control	NOUN
ejpam-6149	540	5	and	and	CCONJ
ejpam-6149	540	6	prevention	prevention	NOUN
ejpam-6149	540	7	.	.	PUNCT
ejpam-6149	541	1	https://www.cdc.gov/coronavirus/2019-ncov/your-health/about-covid-19.html	https://www.cdc.gov/coronavirus/2019-ncov/your-health/about-covid-19.html	PROPN
ejpam-6149	542	1	[	[	X
ejpam-6149	542	2	11	11	NUM
ejpam-6149	542	3	]	]	PUNCT
ejpam-6149	542	4	diabaté	diabaté	NOUN
ejpam-6149	542	5	,	,	PUNCT
ejpam-6149	542	6	a.	a.	PROPN
ejpam-6149	542	7	b.	b.	PROPN
ejpam-6149	542	8	,	,	PUNCT
ejpam-6149	542	9	sangaré	sangaré	PROPN
ejpam-6149	542	10	,	,	PUNCT
ejpam-6149	542	11	b.	b.	PROPN
ejpam-6149	542	12	,	,	PUNCT
ejpam-6149	542	13	&	&	CCONJ
ejpam-6149	542	14	koutou	koutou	PROPN
ejpam-6149	542	15	,	,	PUNCT
ejpam-6149	542	16	o.	o.	PROPN
ejpam-6149	542	17	(	(	PUNCT
ejpam-6149	542	18	2024	2024	NUM
ejpam-6149	542	19	)	)	PUNCT
ejpam-6149	542	20	.	.	PUNCT
ejpam-6149	543	1	optimal	optimal	ADJ
ejpam-6149	543	2	control	control	NOUN
ejpam-6149	543	3	analysis	analysis	NOUN
ejpam-6149	543	4	of	of	ADP
ejpam-6149	543	5	a	a	DET
ejpam-6149	543	6	covid-19	covid-19	PROPN
ejpam-6149	543	7	and	and	CCONJ
ejpam-6149	543	8	tuberculosis	tuberculosis	NOUN
ejpam-6149	543	9	(	(	PUNCT
ejpam-6149	543	10	tb	tb	NOUN
ejpam-6149	543	11	)	)	PUNCT
ejpam-6149	543	12	co	co	NOUN
ejpam-6149	543	13	-	-	NOUN
ejpam-6149	543	14	infection	infection	NOUN
ejpam-6149	543	15	model	model	NOUN
ejpam-6149	543	16	with	with	ADP
ejpam-6149	543	17	an	an	DET
ejpam-6149	543	18	imperfect	imperfect	ADJ
ejpam-6149	543	19	vaccine	vaccine	NOUN
ejpam-6149	543	20	for	for	ADP
ejpam-6149	543	21	covid-19	covid-19	PROPN
ejpam-6149	543	22	.	.	PUNCT
ejpam-6149	543	23	sema	sema	PROPN
ejpam-6149	543	24	journal	journal	PROPN
ejpam-6149	543	25	,	,	PUNCT
ejpam-6149	543	26	81	81	NUM
ejpam-6149	543	27	,	,	PUNCT
ejpam-6149	543	28	429–456	429–456	NUM
ejpam-6149	543	29	.	.	PUNCT
ejpam-6149	544	1	https://doi.org/10.1007/s40324-023-00330-8	https://doi.org/10.1007/s40324-023-00330-8	NUM
ejpam-6149	545	1	[	[	X
ejpam-6149	545	2	12	12	NUM
ejpam-6149	545	3	]	]	X
ejpam-6149	545	4	diekmann	diekmann	PROPN
ejpam-6149	545	5	o	o	NOUN
ejpam-6149	545	6	,	,	PUNCT
ejpam-6149	545	7	heesterbeek	heesterbeek	PROPN
ejpam-6149	545	8	ja	ja	PROPN
ejpam-6149	545	9	,	,	PUNCT
ejpam-6149	545	10	roberts	roberts	PROPN
ejpam-6149	545	11	mg	mg	PROPN
ejpam-6149	545	12	.	.	PUNCT
ejpam-6149	546	1	the	the	DET
ejpam-6149	546	2	construction	construction	NOUN
ejpam-6149	546	3	of	of	ADP
ejpam-6149	546	4	next	next	ADJ
ejpam-6149	546	5	-	-	PUNCT
ejpam-6149	546	6	generation	generation	NOUN
ejpam-6149	546	7	matrices	matrix	NOUN
ejpam-6149	546	8	for	for	ADP
ejpam-6149	546	9	compartmental	compartmental	ADJ
ejpam-6149	546	10	epidemic	epidemic	NOUN
ejpam-6149	546	11	models	model	NOUN
ejpam-6149	546	12	.	.	PUNCT
ejpam-6149	547	1	j	j	PROPN
ejpam-6149	547	2	r	r	NOUN
ejpam-6149	547	3	soc	soc	NOUN
ejpam-6149	547	4	interface	interface	NOUN
ejpam-6149	547	5	.	.	PUNCT
ejpam-6149	548	1	2010	2010	NUM
ejpam-6149	548	2	jun	jun	PROPN
ejpam-6149	548	3	6;7(47):873	6;7(47):873	PROPN
ejpam-6149	548	4	-	-	PUNCT
ejpam-6149	548	5	85	85	NUM
ejpam-6149	548	6	.	.	PUNCT
ejpam-6149	549	1	doi	doi	NOUN
ejpam-6149	549	2	:	:	PUNCT
ejpam-6149	549	3	10.1098	10.1098	NUM
ejpam-6149	549	4	/	/	SYM
ejpam-6149	549	5	rsif.2009.0386	rsif.2009.0386	PROPN
ejpam-6149	549	6	.	.	PUNCT
ejpam-6149	550	1	epub	epub	NOUN
ejpam-6149	550	2	2009	2009	NUM
ejpam-6149	550	3	nov	nov	PROPN
ejpam-6149	550	4	5	5	NUM
ejpam-6149	550	5	.	.	PUNCT
ejpam-6149	551	1	pmid	pmid	NOUN
ejpam-6149	551	2	:	:	PUNCT
ejpam-6149	551	3	19892718	19892718	NUM
ejpam-6149	551	4	;	;	PUNCT
ejpam-6149	551	5	pmcid	pmcid	NOUN
ejpam-6149	551	6	:	:	PUNCT
ejpam-6149	551	7	pmc2871801	pmc2871801	X
ejpam-6149	551	8	.	.	PUNCT
ejpam-6149	552	1	[	[	X
ejpam-6149	552	2	13	13	NUM
ejpam-6149	552	3	]	]	SYM
ejpam-6149	552	4	fahlena	fahlena	PROPN
ejpam-6149	552	5	,	,	PUNCT
ejpam-6149	552	6	h.	h.	PROPN
ejpam-6149	552	7	,	,	PUNCT
ejpam-6149	552	8	oktaviana	oktaviana	PROPN
ejpam-6149	552	9	,	,	PUNCT
ejpam-6149	552	10	w.	w.	PROPN
ejpam-6149	552	11	r.	r.	PROPN
ejpam-6149	552	12	,	,	PUNCT
ejpam-6149	552	13	farida	farida	PROPN
ejpam-6149	552	14	,	,	PUNCT
ejpam-6149	552	15	f.	f.	PROPN
ejpam-6149	552	16	,	,	PUNCT
ejpam-6149	552	17	sudirman	sudirman	PROPN
ejpam-6149	552	18	,	,	PUNCT
ejpam-6149	552	19	s.	s.	PROPN
ejpam-6149	552	20	,	,	PUNCT
ejpam-6149	552	21	nuraini	nuraini	PROPN
ejpam-6149	552	22	,	,	PUNCT
ejpam-6149	552	23	n.	n.	NOUN
ejpam-6149	552	24	,	,	PUNCT
ejpam-6149	552	25	&	&	CCONJ
ejpam-6149	552	26	soewono	soewono	PROPN
ejpam-6149	552	27	,	,	PUNCT
ejpam-6149	552	28	e.	e.	PROPN
ejpam-6149	552	29	(	(	PUNCT
ejpam-6149	552	30	2021	2021	NUM
ejpam-6149	552	31	)	)	PUNCT
ejpam-6149	552	32	.	.	PUNCT
ejpam-6149	553	1	analysis	analysis	NOUN
ejpam-6149	553	2	of	of	ADP
ejpam-6149	553	3	a	a	DET
ejpam-6149	553	4	coendemic	coendemic	ADJ
ejpam-6149	553	5	model	model	NOUN
ejpam-6149	553	6	of	of	ADP
ejpam-6149	553	7	covid-19	covid-19	PROPN
ejpam-6149	553	8	and	and	CCONJ
ejpam-6149	553	9	dengue	dengue	NOUN
ejpam-6149	553	10	disease	disease	NOUN
ejpam-6149	553	11	.	.	PUNCT
ejpam-6149	554	1	communication	communication	NOUN
ejpam-6149	554	2	in	in	ADP
ejpam-6149	554	3	biomathematical	biomathematical	ADJ
ejpam-6149	554	4	sciences	science	NOUN
ejpam-6149	554	5	,	,	PUNCT
ejpam-6149	554	6	4(2	4(2	NUM
ejpam-6149	554	7	)	)	PUNCT
ejpam-6149	554	8	,	,	PUNCT
ejpam-6149	554	9	138–151	138–151	NUM
ejpam-6149	554	10	.	.	PUNCT
ejpam-6149	554	11	https://doi.org/10.5614/cbms.2021.4.2.5	https://doi.org/10.5614/cbms.2021.4.2.5	NOUN
ejpam-6149	555	1	[	[	X
ejpam-6149	555	2	14	14	NUM
ejpam-6149	555	3	]	]	PUNCT
ejpam-6149	555	4	goudiaby	goudiaby	NOUN
ejpam-6149	555	5	,	,	PUNCT
ejpam-6149	555	6	m.	m.	NOUN
ejpam-6149	555	7	s.	s.	PROPN
ejpam-6149	555	8	,	,	PUNCT
ejpam-6149	555	9	gning	gning	NOUN
ejpam-6149	555	10	,	,	PUNCT
ejpam-6149	555	11	l.	l.	PROPN
ejpam-6149	555	12	,	,	PUNCT
ejpam-6149	555	13	diagne	diagne	ADJ
ejpam-6149	555	14	,	,	PUNCT
ejpam-6149	555	15	m.	m.	NOUN
ejpam-6149	555	16	,	,	PUNCT
ejpam-6149	555	17	dia	dia	PROPN
ejpam-6149	555	18	,	,	PUNCT
ejpam-6149	555	19	b.	b.	PROPN
ejpam-6149	555	20	m.	m.	PROPN
ejpam-6149	555	21	,	,	PUNCT
ejpam-6149	555	22	rwezaura	rwezaura	ADV
ejpam-6149	555	23	,	,	PUNCT
ejpam-6149	555	24	h.	h.	PROPN
ejpam-6149	555	25	,	,	PUNCT
ejpam-6149	555	26	&	&	CCONJ
ejpam-6149	555	27	tchuenche	tchuenche	PROPN
ejpam-6149	555	28	,	,	PUNCT
ejpam-6149	555	29	j.	j.	PROPN
ejpam-6149	555	30	m.	m.	PROPN
ejpam-6149	555	31	(	(	PUNCT
ejpam-6149	555	32	2022	2022	NUM
ejpam-6149	555	33	)	)	PUNCT
ejpam-6149	555	34	.	.	PUNCT
ejpam-6149	556	1	optimal	optimal	ADJ
ejpam-6149	556	2	control	control	NOUN
ejpam-6149	556	3	analysis	analysis	NOUN
ejpam-6149	556	4	of	of	ADP
ejpam-6149	556	5	a	a	DET
ejpam-6149	556	6	covid-19	covid-19	PROPN
ejpam-6149	556	7	and	and	CCONJ
ejpam-6149	556	8	tuberculosis	tuberculosis	PRON
ejpam-6149	556	9	co	co	NOUN
ejpam-6149	556	10	-	-	NOUN
ejpam-6149	556	11	dynamics	dynamic	NOUN
ejpam-6149	556	12	model	model	NOUN
ejpam-6149	556	13	.	.	PUNCT
ejpam-6149	557	1	informatics	informatic	NOUN
ejpam-6149	557	2	in	in	ADP
ejpam-6149	557	3	medicine	medicine	NOUN
ejpam-6149	557	4	unlocked	unlock	VERB
ejpam-6149	557	5	,	,	PUNCT
ejpam-6149	557	6	28	28	NUM
ejpam-6149	557	7	,	,	PUNCT
ejpam-6149	557	8	100849	100849	NUM
ejpam-6149	557	9	.	.	PUNCT
ejpam-6149	558	1	https://doi.org/10.1016/j.imu.2022.100849	https://doi.org/10.1016/j.imu.2022.100849	PUNCT
ejpam-6149	559	1	[	[	X
ejpam-6149	559	2	15	15	NUM
ejpam-6149	559	3	]	]	PUNCT
ejpam-6149	559	4	hamou	hamou	NOUN
ejpam-6149	559	5	,	,	PUNCT
ejpam-6149	559	6	a.	a.	NOUN
ejpam-6149	559	7	a.	a.	PROPN
ejpam-6149	559	8	,	,	PUNCT
ejpam-6149	559	9	rasul	rasul	PROPN
ejpam-6149	559	10	,	,	PUNCT
ejpam-6149	559	11	r.	r.	PROPN
ejpam-6149	559	12	r.	r.	PROPN
ejpam-6149	559	13	q.	q.	PROPN
ejpam-6149	559	14	,	,	PUNCT
ejpam-6149	559	15	hammouch	hammouch	PROPN
ejpam-6149	559	16	,	,	PUNCT
ejpam-6149	559	17	z.	z.	PROPN
ejpam-6149	559	18	,	,	PUNCT
ejpam-6149	559	19	&	&	CCONJ
ejpam-6149	559	20	özdemir	özdemir	PROPN
ejpam-6149	559	21	,	,	PUNCT
ejpam-6149	559	22	n.	n.	NOUN
ejpam-6149	559	23	(	(	PUNCT
ejpam-6149	559	24	2022	2022	NUM
ejpam-6149	559	25	)	)	PUNCT
ejpam-6149	559	26	.	.	PUNCT
ejpam-6149	560	1	analysis	analysis	NOUN
ejpam-6149	560	2	and	and	CCONJ
ejpam-6149	560	3	dynamics	dynamic	NOUN
ejpam-6149	560	4	of	of	ADP
ejpam-6149	560	5	a	a	DET
ejpam-6149	560	6	mathematical	mathematical	ADJ
ejpam-6149	560	7	model	model	NOUN
ejpam-6149	560	8	to	to	PART
ejpam-6149	560	9	predict	predict	VERB
ejpam-6149	560	10	unreported	unreported	ADJ
ejpam-6149	560	11	cases	case	NOUN
ejpam-6149	560	12	of	of	ADP
ejpam-6149	560	13	covid-19	covid-19	PROPN
ejpam-6149	560	14	epidemic	epidemic	NOUN
ejpam-6149	560	15	in	in	ADP
ejpam-6149	560	16	moroco	moroco	ADJ
ejpam-6149	560	17	.	.	PUNCT
ejpam-6149	561	1	computational	computational	ADJ
ejpam-6149	561	2	and	and	CCONJ
ejpam-6149	561	3	applied	applied	ADJ
ejpam-6149	561	4	mathematics	mathematic	NOUN
ejpam-6149	561	5	,	,	PUNCT
ejpam-6149	561	6	41(1	41(1	NUM
ejpam-6149	561	7	)	)	PUNCT
ejpam-6149	561	8	,	,	PUNCT
ejpam-6149	561	9	289	289	NUM
ejpam-6149	561	10	.	.	PUNCT
ejpam-6149	562	1	https://doi.org/10.1007/s40314-022-01990-4	https://doi.org/10.1007/s40314-022-01990-4	NUM
ejpam-6149	563	1	[	[	X
ejpam-6149	563	2	16	16	NUM
ejpam-6149	563	3	]	]	X
ejpam-6149	563	4	hutson	hutson	PROPN
ejpam-6149	563	5	v	v	NOUN
ejpam-6149	563	6	,	,	PUNCT
ejpam-6149	563	7	schmitt	schmitt	PROPN
ejpam-6149	563	8	k.	k.	PROPN
ejpam-6149	563	9	permanence	permanence	PROPN
ejpam-6149	563	10	and	and	CCONJ
ejpam-6149	563	11	the	the	DET
ejpam-6149	563	12	dynamics	dynamic	NOUN
ejpam-6149	563	13	of	of	ADP
ejpam-6149	563	14	biological	biological	ADJ
ejpam-6149	563	15	systems	system	NOUN
ejpam-6149	563	16	.	.	PUNCT
ejpam-6149	564	1	math	math	PROPN
ejpam-6149	564	2	biosci	biosci	PROPN
ejpam-6149	564	3	1992;111:1–71	1992;111:1–71	PROPN
ejpam-6149	564	4	.	.	PUNCT
ejpam-6149	565	1	[	[	X
ejpam-6149	565	2	17	17	NUM
ejpam-6149	565	3	]	]	X
ejpam-6149	565	4	inayaturohmat	inayaturohmat	PROPN
ejpam-6149	565	5	,	,	PUNCT
ejpam-6149	565	6	f.	f.	PROPN
ejpam-6149	565	7	,	,	PUNCT
ejpam-6149	565	8	anggriani	anggriani	PROPN
ejpam-6149	565	9	,	,	PUNCT
ejpam-6149	565	10	n.	n.	NOUN
ejpam-6149	565	11	,	,	PUNCT
ejpam-6149	565	12	&	&	CCONJ
ejpam-6149	565	13	supriatna	supriatna	PROPN
ejpam-6149	565	14	,	,	PUNCT
ejpam-6149	565	15	a.	a.	NOUN
ejpam-6149	565	16	k.	k.	PROPN
ejpam-6149	565	17	(	(	PUNCT
ejpam-6149	565	18	2022	2022	NUM
ejpam-6149	565	19	)	)	PUNCT
ejpam-6149	565	20	.	.	PUNCT
ejpam-6149	566	1	a	a	DET
ejpam-6149	566	2	mathematical	mathematical	ADJ
ejpam-6149	566	3	model	model	NOUN
ejpam-6149	566	4	of	of	ADP
ejpam-6149	566	5	tuberculosis	tuberculosis	NOUN
ejpam-6149	566	6	and	and	CCONJ
ejpam-6149	566	7	covid-19	covid-19	PROPN
ejpam-6149	566	8	coinfection	coinfection	NOUN
ejpam-6149	566	9	with	with	ADP
ejpam-6149	566	10	the	the	DET
ejpam-6149	566	11	effect	effect	NOUN
ejpam-6149	566	12	of	of	ADP
ejpam-6149	566	13	isolation	isolation	NOUN
ejpam-6149	566	14	and	and	CCONJ
ejpam-6149	566	15	treatment	treatment	NOUN
ejpam-6149	566	16	.	.	PUNCT
ejpam-6149	567	1	frontiers	frontier	NOUN
ejpam-6149	567	2	in	in	ADP
ejpam-6149	567	3	applied	apply	VERB
ejpam-6149	567	4	mathematics	mathematic	NOUN
ejpam-6149	567	5	and	and	CCONJ
ejpam-6149	567	6	statistics	statistic	NOUN
ejpam-6149	567	7	,	,	PUNCT
ejpam-6149	567	8	8	8	NUM
ejpam-6149	567	9	.	.	PUNCT
ejpam-6149	568	1	https://doi.org/10.3389/fams.2022.958081	https://doi.org/10.3389/fams.2022.958081	PROPN
ejpam-6149	568	2	[	[	X
ejpam-6149	568	3	18	18	NUM
ejpam-6149	568	4	]	]	X
ejpam-6149	568	5	khan	khan	PROPN
ejpam-6149	568	6	,	,	PUNCT
ejpam-6149	568	7	m.	m.	NOUN
ejpam-6149	568	8	s.	s.	PROPN
ejpam-6149	568	9	,	,	PUNCT
ejpam-6149	568	10	atangana	atangana	PROPN
ejpam-6149	568	11	,	,	PUNCT
ejpam-6149	568	12	a.	a.	PROPN
ejpam-6149	568	13	,	,	PUNCT
ejpam-6149	568	14	alzahrani	alzahrani	PROPN
ejpam-6149	568	15	,	,	PUNCT
ejpam-6149	568	16	e.	e.	PROPN
ejpam-6149	568	17	o.	o.	PROPN
ejpam-6149	568	18	,	,	PUNCT
ejpam-6149	568	19	&	&	CCONJ
ejpam-6149	568	20	fatmawati	fatmawati	NOUN
ejpam-6149	568	21	.	.	PUNCT
ejpam-6149	569	1	(	(	PUNCT
ejpam-6149	569	2	2020	2020	NUM
ejpam-6149	569	3	)	)	PUNCT
ejpam-6149	569	4	.	.	PUNCT
ejpam-6149	570	1	the	the	DET
ejpam-6149	570	2	dynamics	dynamic	NOUN
ejpam-6149	570	3	of	of	ADP
ejpam-6149	570	4	covid-19	covid-19	PROPN
ejpam-6149	570	5	with	with	ADP
ejpam-6149	570	6	quarantined	quarantine	VERB
ejpam-6149	570	7	and	and	CCONJ
ejpam-6149	570	8	isolation	isolation	NOUN
ejpam-6149	570	9	.	.	PUNCT
ejpam-6149	571	1	advances	advance	NOUN
ejpam-6149	571	2	in	in	ADP
ejpam-6149	571	3	difference	difference	NOUN
ejpam-6149	571	4	equations	equation	NOUN
ejpam-6149	571	5	,	,	PUNCT
ejpam-6149	571	6	2020(1	2020(1	NUM
ejpam-6149	571	7	)	)	PUNCT
ejpam-6149	571	8	.	.	PUNCT
ejpam-6149	572	1	https://doi.org/10.1186/s13662-020-02882-9	https://doi.org/10.1186/s13662-020-02882-9	NOUN
ejpam-6149	572	2	[	[	X
ejpam-6149	572	3	19	19	NUM
ejpam-6149	572	4	]	]	X
ejpam-6149	572	5	khurana	khurana	PROPN
ejpam-6149	572	6	,	,	PUNCT
ejpam-6149	572	7	a.k	a.k	PROPN
ejpam-6149	572	8	.	.	PROPN
ejpam-6149	572	9	,	,	PUNCT
ejpam-6149	572	10	aggarwal	aggarwal	PROPN
ejpam-6149	572	11	,	,	PUNCT
ejpam-6149	572	12	d.	d.	PROPN
ejpam-6149	572	13	the	the	PRON
ejpam-6149	572	14	(	(	PUNCT
ejpam-6149	572	15	in)significance	in)significance	NOUN
ejpam-6149	572	16	of	of	ADP
ejpam-6149	572	17	tb	tb	NOUN
ejpam-6149	572	18	and	and	CCONJ
ejpam-6149	572	19	covid-19	covid-19	PROPN
ejpam-6149	572	20	co	co	NOUN
ejpam-6149	572	21	-	-	NOUN
ejpam-6149	572	22	infection	infection	NOUN
ejpam-6149	572	23	,	,	PUNCT
ejpam-6149	572	24	eur	eur	PROPN
ejpam-6149	572	25	.	.	PUNCT
ejpam-6149	572	26	respir	respir	PROPN
ejpam-6149	572	27	.	.	PUNCT
ejpam-6149	573	1	j.	j.	PROPN
ejpam-6149	573	2	56(2	56(2	PROPN
ejpam-6149	573	3	)	)	PUNCT
ejpam-6149	573	4	(	(	PUNCT
ejpam-6149	573	5	2020	2020	NUM
ejpam-6149	573	6	)	)	PUNCT
ejpam-6149	573	7	2002105	2002105	NUM
ejpam-6149	573	8	.	.	PUNCT
ejpam-6149	574	1	[	[	X
ejpam-6149	574	2	20	20	NUM
ejpam-6149	574	3	]	]	SYM
ejpam-6149	574	4	mallah	mallah	PROPN
ejpam-6149	574	5	si	si	PROPN
ejpam-6149	574	6	,	,	PUNCT
ejpam-6149	574	7	ghorab	ghorab	VERB
ejpam-6149	574	8	ok	ok	PROPN
ejpam-6149	574	9	,	,	PUNCT
ejpam-6149	574	10	al	al	PROPN
ejpam-6149	574	11	-	-	PUNCT
ejpam-6149	574	12	salmi	salmi	PROPN
ejpam-6149	574	13	s	s	PROPN
ejpam-6149	574	14	,	,	PUNCT
ejpam-6149	574	15	abdellatif	abdellatif	NOUN
ejpam-6149	574	16	os	os	NOUN
ejpam-6149	574	17	,	,	PUNCT
ejpam-6149	574	18	tharmaratnam	tharmaratnam	PROPN
ejpam-6149	574	19	t	t	PROPN
ejpam-6149	574	20	,	,	PUNCT
ejpam-6149	574	21	iskandar	iskandar	PROPN
ejpam-6149	574	22	ma	ma	PROPN
ejpam-6149	574	23	,	,	PUNCT
ejpam-6149	574	24	sefen	sefen	PROPN
ejpam-6149	574	25	jan	jan	PROPN
ejpam-6149	574	26	,	,	PUNCT
ejpam-6149	574	27	sidhu	sidhu	NOUN
ejpam-6149	574	28	p	p	X
ejpam-6149	574	29	,	,	PUNCT
ejpam-6149	574	30	atallah	atallah	PROPN
ejpam-6149	574	31	b	b	PROPN
ejpam-6149	574	32	,	,	PUNCT
ejpam-6149	574	33	el	el	PROPN
ejpam-6149	574	34	-	-	PROPN
ejpam-6149	574	35	lababidi	lababidi	PROPN
ejpam-6149	574	36	r	r	PROPN
ejpam-6149	574	37	,	,	PUNCT
ejpam-6149	574	38	al	al	PROPN
ejpam-6149	574	39	-	-	PUNCT
ejpam-6149	574	40	qahtani	qahtani	PROPN
ejpam-6149	574	41	m.	m.	NOUN
ejpam-6149	574	42	covid-19	covid-19	PROPN
ejpam-6149	574	43	:	:	PUNCT
ejpam-6149	574	44	breaking	break	VERB
ejpam-6149	574	45	down	down	ADP
ejpam-6149	574	46	a	a	DET
ejpam-6149	574	47	global	global	ADJ
ejpam-6149	574	48	health	health	NOUN
ejpam-6149	574	49	crisis	crisis	NOUN
ejpam-6149	574	50	.	.	PUNCT
ejpam-6149	575	1	ann	ann	PROPN
ejpam-6149	575	2	clin	clin	PROPN
ejpam-6149	575	3	microbiol	microbiol	PROPN
ejpam-6149	575	4	antimicrob	antimicrob	PROPN
ejpam-6149	575	5	.	.	PUNCT
ejpam-6149	576	1	2021	2021	NUM
ejpam-6149	576	2	may	may	AUX
ejpam-6149	576	3	18;20(1):35	18;20(1):35	NUM
ejpam-6149	576	4	.	.	PUNCT
ejpam-6149	577	1	doi	doi	NOUN
ejpam-6149	577	2	:	:	PUNCT
ejpam-6149	577	3	10.1186	10.1186	NUM
ejpam-6149	577	4	/	/	SYM
ejpam-6149	577	5	s12941	s12941	NOUN
ejpam-6149	577	6	-	-	PUNCT
ejpam-6149	577	7	02100438	02100438	NUM
ejpam-6149	577	8	-	-	PUNCT
ejpam-6149	577	9	7	7	NUM
ejpam-6149	577	10	.	.	PUNCT
ejpam-6149	578	1	pmid	pmid	NOUN
ejpam-6149	578	2	:	:	PUNCT
ejpam-6149	578	3	34006330	34006330	NUM
ejpam-6149	578	4	;	;	PUNCT
ejpam-6149	578	5	pmcid	pmcid	ADJ
ejpam-6149	578	6	:	:	PUNCT
ejpam-6149	578	7	pmc8129964	pmc8129964	NOUN
ejpam-6149	578	8	.	.	PUNCT
ejpam-6149	579	1	j.	j.	PROPN
ejpam-6149	579	2	puebla	puebla	PROPN
ejpam-6149	579	3	,	,	PUNCT
ejpam-6149	579	4	jm	jm	PROPN
ejpam-6149	579	5	.	.	PROPN
ejpam-6149	579	6	macalalag	macalalag	PROPN
ejpam-6149	579	7	,	,	PUNCT
ejpam-6149	579	8	k.	k.	PROPN
ejpam-6149	579	9	pajaron	pajaron	PROPN
ejpam-6149	579	10	/	/	SYM
ejpam-6149	579	11	eur	eur	PROPN
ejpam-6149	579	12	.	.	PUNCT
ejpam-6149	580	1	j.	j.	PROPN
ejpam-6149	580	2	pure	pure	PROPN
ejpam-6149	580	3	appl	appl	PROPN
ejpam-6149	580	4	.	.	PROPN
ejpam-6149	580	5	math	math	PROPN
ejpam-6149	580	6	,	,	PUNCT
ejpam-6149	580	7	18	18	NUM
ejpam-6149	580	8	(	(	PUNCT
ejpam-6149	580	9	3	3	NUM
ejpam-6149	580	10	)	)	PUNCT
ejpam-6149	580	11	(	(	PUNCT
ejpam-6149	580	12	2025	2025	NUM
ejpam-6149	580	13	)	)	PUNCT
ejpam-6149	580	14	,	,	PUNCT
ejpam-6149	580	15	6149	6149	NUM
ejpam-6149	580	16	27	27	NUM
ejpam-6149	580	17	of	of	ADP
ejpam-6149	580	18	28	28	NUM
ejpam-6149	580	19	[	[	X
ejpam-6149	580	20	21	21	NUM
ejpam-6149	580	21	]	]	SYM
ejpam-6149	580	22	margalit	margalit	PROPN
ejpam-6149	580	23	,	,	PUNCT
ejpam-6149	580	24	d.	d.	PROPN
ejpam-6149	580	25	&	&	CCONJ
ejpam-6149	580	26	rabinoff	rabinoff	PROPN
ejpam-6149	580	27	,	,	PUNCT
ejpam-6149	580	28	j.	j.	PROPN
ejpam-6149	580	29	(	(	PUNCT
ejpam-6149	580	30	2022	2022	NUM
ejpam-6149	580	31	)	)	PUNCT
ejpam-6149	580	32	.	.	PUNCT
ejpam-6149	581	1	interactive	interactive	ADJ
ejpam-6149	581	2	linear	linear	PROPN
ejpam-6149	581	3	algebra	algebra	NOUN
ejpam-6149	581	4	.	.	PUNCT
ejpam-6149	582	1	mathematics	mathematic	NOUN
ejpam-6149	582	2	libretexts	libretext	NOUN
ejpam-6149	582	3	.	.	PUNCT
ejpam-6149	583	1	https://math.libretexts.org/bookshelves/linear	https://math.libretexts.org/bookshelves/linear	ADJ
ejpam-6149	583	2	algebra	algebra	NOUN
ejpam-6149	583	3	/	/	SYM
ejpam-6149	583	4	interactive	interactive	ADJ
ejpam-6149	583	5	linear	linear	NOUN
ejpam-6149	583	6	algebra	algebra	NOUN
ejpam-6149	583	7	(	(	PUNCT
ejpam-6149	583	8	margalit	margalit	ADJ
ejpam-6149	583	9	and	and	CCONJ
ejpam-6149	583	10	rabinoff	rabinoff	NOUN
ejpam-6149	583	11	)	)	PUNCT
ejpam-6149	584	1	[	[	X
ejpam-6149	584	2	22	22	NUM
ejpam-6149	584	3	]	]	X
ejpam-6149	584	4	martcheva	martcheva	PROPN
ejpam-6149	584	5	,	,	PUNCT
ejpam-6149	584	6	m.	m.	NOUN
ejpam-6149	584	7	(	(	PUNCT
ejpam-6149	584	8	2015	2015	NUM
ejpam-6149	584	9	)	)	PUNCT
ejpam-6149	584	10	.	.	PUNCT
ejpam-6149	585	1	an	an	DET
ejpam-6149	585	2	introduction	introduction	NOUN
ejpam-6149	585	3	to	to	ADP
ejpam-6149	585	4	mathematical	mathematical	ADJ
ejpam-6149	585	5	epidemiology	epidemiology	NOUN
ejpam-6149	585	6	,	,	PUNCT
ejpam-6149	585	7	vol.61	vol.61	NOUN
ejpam-6149	585	8	,	,	PUNCT
ejpam-6149	585	9	springer	springer	NOUN
ejpam-6149	585	10	.	.	PUNCT
ejpam-6149	586	1	[	[	X
ejpam-6149	586	2	23	23	NUM
ejpam-6149	586	3	]	]	X
ejpam-6149	586	4	mekonen	mekonen	PROPN
ejpam-6149	586	5	,	,	PUNCT
ejpam-6149	586	6	k.	k.	PROPN
ejpam-6149	586	7	g.	g.	PROPN
ejpam-6149	586	8	,	,	PUNCT
ejpam-6149	586	9	balcha	balcha	PROPN
ejpam-6149	586	10	,	,	PUNCT
ejpam-6149	586	11	s.	s.	PROPN
ejpam-6149	586	12	f.	f.	PROPN
ejpam-6149	586	13	,	,	PUNCT
ejpam-6149	586	14	obsu	obsu	PROPN
ejpam-6149	586	15	,	,	PUNCT
ejpam-6149	586	16	l.	l.	PROPN
ejpam-6149	586	17	l.	l.	PROPN
ejpam-6149	586	18	,	,	PUNCT
ejpam-6149	586	19	&	&	CCONJ
ejpam-6149	586	20	hassen	hassen	PROPN
ejpam-6149	586	21	,	,	PUNCT
ejpam-6149	586	22	a.	a.	NOUN
ejpam-6149	586	23	a.	a.	NOUN
ejpam-6149	586	24	(	(	PUNCT
ejpam-6149	586	25	2022	2022	NUM
ejpam-6149	586	26	)	)	PUNCT
ejpam-6149	586	27	.	.	PUNCT
ejpam-6149	587	1	mathematical	mathematical	ADJ
ejpam-6149	587	2	modeling	modeling	NOUN
ejpam-6149	587	3	and	and	CCONJ
ejpam-6149	587	4	analysis	analysis	NOUN
ejpam-6149	587	5	of	of	ADP
ejpam-6149	587	6	tb	tb	NOUN
ejpam-6149	587	7	and	and	CCONJ
ejpam-6149	587	8	covid-19	covid-19	PROPN
ejpam-6149	587	9	coinfection	coinfection	NOUN
ejpam-6149	587	10	.	.	PUNCT
ejpam-6149	588	1	journal	journal	PROPN
ejpam-6149	588	2	of	of	ADP
ejpam-6149	588	3	applied	apply	VERB
ejpam-6149	588	4	mathematics	mathematic	NOUN
ejpam-6149	588	5	,	,	PUNCT
ejpam-6149	588	6	2022	2022	NUM
ejpam-6149	588	7	,	,	PUNCT
ejpam-6149	588	8	1–20	1–20	PROPN
ejpam-6149	588	9	.	.	PUNCT
ejpam-6149	589	1	https://doi.org/10.1155/2022/2449710	https://doi.org/10.1155/2022/2449710	PROPN
ejpam-6149	589	2	[	[	X
ejpam-6149	589	3	24	24	NUM
ejpam-6149	589	4	]	]	SYM
ejpam-6149	589	5	mekonen	mekonen	PROPN
ejpam-6149	589	6	,	,	PUNCT
ejpam-6149	589	7	k.	k.	PROPN
ejpam-6149	589	8	g.	g.	PROPN
ejpam-6149	589	9	,	,	PUNCT
ejpam-6149	589	10	&	&	CCONJ
ejpam-6149	589	11	obsu	obsu	PROPN
ejpam-6149	589	12	,	,	PUNCT
ejpam-6149	589	13	l.	l.	PROPN
ejpam-6149	589	14	l.	l.	PROPN
ejpam-6149	589	15	(	(	PUNCT
ejpam-6149	589	16	2022	2022	NUM
ejpam-6149	589	17	)	)	PUNCT
ejpam-6149	589	18	.	.	PUNCT
ejpam-6149	590	1	mathematical	mathematical	ADJ
ejpam-6149	590	2	modeling	modeling	NOUN
ejpam-6149	590	3	and	and	CCONJ
ejpam-6149	590	4	analysis	analysis	NOUN
ejpam-6149	590	5	for	for	ADP
ejpam-6149	590	6	the	the	DET
ejpam-6149	590	7	co	co	NOUN
ejpam-6149	590	8	-	-	NOUN
ejpam-6149	590	9	infection	infection	NOUN
ejpam-6149	590	10	of	of	ADP
ejpam-6149	590	11	covid-19	covid-19	PROPN
ejpam-6149	590	12	and	and	CCONJ
ejpam-6149	590	13	tuberculosis	tuberculosis	NOUN
ejpam-6149	590	14	.	.	PUNCT
ejpam-6149	591	1	heliyon	heliyon	NOUN
ejpam-6149	591	2	,	,	PUNCT
ejpam-6149	591	3	8(10	8(10	NUM
ejpam-6149	591	4	)	)	PUNCT
ejpam-6149	591	5	,	,	PUNCT
ejpam-6149	591	6	e11195	e11195	PROPN
ejpam-6149	591	7	.	.	NOUN
ejpam-6149	592	1	https://doi.org/10.1016/j.heliyon.2022.e11195	https://doi.org/10.1016/j.heliyon.2022.e11195	ADV
ejpam-6149	592	2	[	[	X
ejpam-6149	592	3	25	25	NUM
ejpam-6149	592	4	]	]	SYM
ejpam-6149	592	5	mcquaid	mcquaid	PROPN
ejpam-6149	592	6	,	,	PUNCT
ejpam-6149	592	7	c.	c.	PROPN
ejpam-6149	592	8	,	,	PUNCT
ejpam-6149	592	9	vassall	vassall	PROPN
ejpam-6149	592	10	,	,	PUNCT
ejpam-6149	592	11	a.	a.	PROPN
ejpam-6149	592	12	,	,	PUNCT
ejpam-6149	592	13	cohen	cohen	PROPN
ejpam-6149	592	14	,	,	PUNCT
ejpam-6149	592	15	t.	t.	PROPN
ejpam-6149	592	16	,	,	PUNCT
ejpam-6149	592	17	&	&	CCONJ
ejpam-6149	592	18	et	et	PROPN
ejpam-6149	592	19	al	al	PROPN
ejpam-6149	592	20	.	.	PUNCT
ejpam-6149	593	1	the	the	DET
ejpam-6149	593	2	impact	impact	NOUN
ejpam-6149	593	3	of	of	ADP
ejpam-6149	593	4	covid-19	covid-19	PROPN
ejpam-6149	593	5	on	on	ADP
ejpam-6149	593	6	tb	tb	ADP
ejpam-6149	593	7	:	:	PUNCT
ejpam-6149	593	8	a	a	DET
ejpam-6149	593	9	review	review	NOUN
ejpam-6149	593	10	of	of	ADP
ejpam-6149	593	11	the	the	DET
ejpam-6149	593	12	data	datum	NOUN
ejpam-6149	593	13	.	.	PUNCT
ejpam-6149	594	1	the	the	DET
ejpam-6149	594	2	international	international	ADJ
ejpam-6149	594	3	journal	journal	NOUN
ejpam-6149	594	4	of	of	ADP
ejpam-6149	594	5	tuberculosis	tuberculosis	NOUN
ejpam-6149	594	6	and	and	CCONJ
ejpam-6149	594	7	lung	lung	NOUN
ejpam-6149	594	8	disease	disease	NOUN
ejpam-6149	594	9	,	,	PUNCT
ejpam-6149	594	10	vol	vol	NOUN
ejpam-6149	594	11	.	.	PROPN
ejpam-6149	594	12	25	25	NUM
ejpam-6149	594	13	,	,	PUNCT
ejpam-6149	594	14	no	no	INTJ
ejpam-6149	594	15	.	.	NOUN
ejpam-6149	594	16	6	6	NUM
ejpam-6149	594	17	,	,	PUNCT
ejpam-6149	594	18	pp	pp	ADJ
ejpam-6149	594	19	.	.	PUNCT
ejpam-6149	595	1	436–446	436–446	NUM
ejpam-6149	595	2	,	,	PUNCT
ejpam-6149	595	3	2021	2021	NUM
ejpam-6149	595	4	.	.	PUNCT
ejpam-6149	596	1	[	[	X
ejpam-6149	596	2	26	26	NUM
ejpam-6149	596	3	]	]	SYM
ejpam-6149	596	4	ojo	ojo	NOUN
ejpam-6149	596	5	,	,	PUNCT
ejpam-6149	596	6	m.	m.	NOUN
ejpam-6149	596	7	m.	m.	NOUN
ejpam-6149	596	8	,	,	PUNCT
ejpam-6149	596	9	nyabadza	nyabadza	INTJ
ejpam-6149	596	10	,	,	PUNCT
ejpam-6149	596	11	f.	f.	PROPN
ejpam-6149	596	12	,	,	PUNCT
ejpam-6149	596	13	&	&	CCONJ
ejpam-6149	596	14	adamu	adamu	PROPN
ejpam-6149	596	15	,	,	PUNCT
ejpam-6149	596	16	m.	m.	NOUN
ejpam-6149	596	17	o.	o.	PROPN
ejpam-6149	596	18	(	(	PUNCT
ejpam-6149	596	19	2023	2023	NUM
ejpam-6149	596	20	)	)	PUNCT
ejpam-6149	596	21	.	.	PUNCT
ejpam-6149	597	1	a	a	DET
ejpam-6149	597	2	mathematical	mathematical	ADJ
ejpam-6149	597	3	model	model	NOUN
ejpam-6149	597	4	for	for	ADP
ejpam-6149	597	5	the	the	DET
ejpam-6149	597	6	codynamics	codynamic	NOUN
ejpam-6149	597	7	of	of	ADP
ejpam-6149	597	8	covid-19	covid-19	PROPN
ejpam-6149	597	9	and	and	CCONJ
ejpam-6149	597	10	tuberculosis	tuberculosis	NOUN
ejpam-6149	597	11	.	.	PUNCT
ejpam-6149	598	1	journal	journal	PROPN
ejpam-6149	598	2	of	of	ADP
ejpam-6149	598	3	applied	apply	VERB
ejpam-6149	598	4	mathematics	mathematic	NOUN
ejpam-6149	598	5	and	and	CCONJ
ejpam-6149	598	6	computing	computing	NOUN
ejpam-6149	598	7	,	,	PUNCT
ejpam-6149	598	8	71	71	NUM
ejpam-6149	598	9	,	,	PUNCT
ejpam-6149	598	10	893–916	893–916	NUM
ejpam-6149	598	11	.	.	PUNCT
ejpam-6149	599	1	https://doi.org/10.1007/s12190-022-01611-4	https://doi.org/10.1007/s12190-022-01611-4	NOUN
ejpam-6149	600	1	[	[	X
ejpam-6149	600	2	27	27	NUM
ejpam-6149	600	3	]	]	SYM
ejpam-6149	600	4	ojo	ojo	NOUN
ejpam-6149	600	5	,	,	PUNCT
ejpam-6149	600	6	m.	m.	NOUN
ejpam-6149	600	7	m.	m.	NOUN
ejpam-6149	600	8	,	,	PUNCT
ejpam-6149	600	9	peter	peter	PROPN
ejpam-6149	600	10	,	,	PUNCT
ejpam-6149	600	11	o.	o.	PROPN
ejpam-6149	600	12	j.	j.	PROPN
ejpam-6149	600	13	,	,	PUNCT
ejpam-6149	600	14	goufo	goufo	PROPN
ejpam-6149	600	15	,	,	PUNCT
ejpam-6149	600	16	e.	e.	PROPN
ejpam-6149	600	17	f.	f.	PROPN
ejpam-6149	600	18	d.	d.	PROPN
ejpam-6149	600	19	,	,	PUNCT
ejpam-6149	600	20	&	&	CCONJ
ejpam-6149	600	21	nisar	nisar	PROPN
ejpam-6149	600	22	,	,	PUNCT
ejpam-6149	600	23	k.	k.	PROPN
ejpam-6149	600	24	s.	s.	PROPN
ejpam-6149	600	25	(	(	PUNCT
ejpam-6149	600	26	2023	2023	NUM
ejpam-6149	600	27	)	)	PUNCT
ejpam-6149	600	28	.	.	PUNCT
ejpam-6149	601	1	a	a	DET
ejpam-6149	601	2	mathematical	mathematical	ADJ
ejpam-6149	601	3	model	model	NOUN
ejpam-6149	601	4	for	for	ADP
ejpam-6149	601	5	the	the	DET
ejpam-6149	601	6	co	co	NOUN
ejpam-6149	601	7	-	-	NOUN
ejpam-6149	601	8	dynamics	dynamic	NOUN
ejpam-6149	601	9	of	of	ADP
ejpam-6149	601	10	covid-19	covid-19	PROPN
ejpam-6149	601	11	and	and	CCONJ
ejpam-6149	601	12	tuberculosis	tuberculosis	NOUN
ejpam-6149	601	13	.	.	PUNCT
ejpam-6149	602	1	mathematics	mathematic	NOUN
ejpam-6149	602	2	and	and	CCONJ
ejpam-6149	602	3	computers	computer	NOUN
ejpam-6149	602	4	in	in	ADP
ejpam-6149	602	5	simulation	simulation	NOUN
ejpam-6149	602	6	,	,	PUNCT
ejpam-6149	602	7	207	207	NUM
ejpam-6149	602	8	,	,	PUNCT
ejpam-6149	602	9	499–520	499–520	NUM
ejpam-6149	602	10	.	.	PUNCT
ejpam-6149	603	1	https://doi.org/10.1016/j.matcom.2023.01.014	https://doi.org/10.1016/j.matcom.2023.01.014	VERB
ejpam-6149	603	2	[	[	X
ejpam-6149	603	3	28	28	NUM
ejpam-6149	603	4	]	]	X
ejpam-6149	603	5	omame	omame	NOUN
ejpam-6149	603	6	,	,	PUNCT
ejpam-6149	603	7	a.	a.	NOUN
ejpam-6149	603	8	,	,	PUNCT
ejpam-6149	603	9	rwezaura	rwezaura	ADV
ejpam-6149	603	10	,	,	PUNCT
ejpam-6149	603	11	h.	h.	PROPN
ejpam-6149	603	12	,	,	PUNCT
ejpam-6149	603	13	diagne	diagne	VERB
ejpam-6149	603	14	,	,	PUNCT
ejpam-6149	603	15	m.	m.	NOUN
ejpam-6149	603	16	,	,	PUNCT
ejpam-6149	603	17	inyama	inyama	NOUN
ejpam-6149	603	18	,	,	PUNCT
ejpam-6149	603	19	s.	s.	PROPN
ejpam-6149	603	20	c.	c.	PROPN
ejpam-6149	603	21	,	,	PUNCT
ejpam-6149	603	22	&	&	CCONJ
ejpam-6149	603	23	tchuenche	tchuenche	PROPN
ejpam-6149	603	24	,	,	PUNCT
ejpam-6149	603	25	j.	j.	PROPN
ejpam-6149	603	26	m.	m.	PROPN
ejpam-6149	603	27	(	(	PUNCT
ejpam-6149	603	28	2021	2021	NUM
ejpam-6149	603	29	)	)	PUNCT
ejpam-6149	603	30	.	.	PUNCT
ejpam-6149	604	1	covid-19	covid-19	PROPN
ejpam-6149	604	2	and	and	CCONJ
ejpam-6149	604	3	dengue	dengue	PROPN
ejpam-6149	604	4	co	co	NOUN
ejpam-6149	604	5	-	-	NOUN
ejpam-6149	604	6	infection	infection	NOUN
ejpam-6149	604	7	in	in	ADP
ejpam-6149	604	8	brazil	brazil	PROPN
ejpam-6149	604	9	:	:	PUNCT
ejpam-6149	604	10	optimal	optimal	ADJ
ejpam-6149	604	11	control	control	NOUN
ejpam-6149	604	12	and	and	CCONJ
ejpam-6149	604	13	cost	cost	NOUN
ejpam-6149	604	14	-	-	PUNCT
ejpam-6149	604	15	effectiveness	effectiveness	NOUN
ejpam-6149	604	16	analysis	analysis	NOUN
ejpam-6149	604	17	.	.	PUNCT
ejpam-6149	605	1	european	european	PROPN
ejpam-6149	605	2	physical	physical	PROPN
ejpam-6149	605	3	journal	journal	PROPN
ejpam-6149	605	4	plus	plus	CCONJ
ejpam-6149	605	5	,	,	PUNCT
ejpam-6149	605	6	136(10	136(10	NUM
ejpam-6149	605	7	)	)	PUNCT
ejpam-6149	605	8	.	.	PUNCT
ejpam-6149	606	1	https://doi.org/10.1140/epjp/s13360-021-02030-6	https://doi.org/10.1140/epjp/s13360-021-02030-6	PROPN
ejpam-6149	606	2	[	[	X
ejpam-6149	606	3	29	29	NUM
ejpam-6149	606	4	]	]	X
ejpam-6149	606	5	perko	perko	PROPN
ejpam-6149	606	6	,	,	PUNCT
ejpam-6149	606	7	l.	l.	PROPN
ejpam-6149	606	8	(	(	PUNCT
ejpam-6149	606	9	2001	2001	NUM
ejpam-6149	606	10	)	)	PUNCT
ejpam-6149	606	11	.	.	PUNCT
ejpam-6149	607	1	differential	differential	ADJ
ejpam-6149	607	2	equations	equation	NOUN
ejpam-6149	607	3	and	and	CCONJ
ejpam-6149	607	4	dynamical	dynamical	ADJ
ejpam-6149	607	5	systems	system	NOUN
ejpam-6149	607	6	(	(	PUNCT
ejpam-6149	607	7	3rd	3rd	ADJ
ejpam-6149	607	8	ed	ed	NOUN
ejpam-6149	607	9	.	.	PUNCT
ejpam-6149	607	10	)	)	PUNCT
ejpam-6149	607	11	.	.	PUNCT
ejpam-6149	608	1	springer	springer	NOUN
ejpam-6149	608	2	-	-	PUNCT
ejpam-6149	608	3	verlag	verlag	PROPN
ejpam-6149	608	4	,	,	PUNCT
ejpam-6149	608	5	new	new	PROPN
ejpam-6149	608	6	york	york	PROPN
ejpam-6149	608	7	,	,	PUNCT
ejpam-6149	608	8	inc	inc	PROPN
ejpam-6149	608	9	.	.	PUNCT
ejpam-6149	609	1	[	[	X
ejpam-6149	609	2	30	30	NUM
ejpam-6149	609	3	]	]	X
ejpam-6149	609	4	philippines	philippine	NOUN
ejpam-6149	609	5	:	:	PUNCT
ejpam-6149	609	6	who	who	PRON
ejpam-6149	609	7	coronavirus	coronavirus	NOUN
ejpam-6149	609	8	disease	disease	NOUN
ejpam-6149	609	9	(	(	PUNCT
ejpam-6149	609	10	covid-19	covid-19	PROPN
ejpam-6149	609	11	)	)	PUNCT
ejpam-6149	609	12	dashboard	dashboard	NOUN
ejpam-6149	609	13	with	with	ADP
ejpam-6149	609	14	vaccination	vaccination	NOUN
ejpam-6149	609	15	data	datum	NOUN
ejpam-6149	609	16	.	.	PUNCT
ejpam-6149	610	1	(	(	PUNCT
ejpam-6149	610	2	n.d	n.d	PROPN
ejpam-6149	610	3	.	.	PROPN
ejpam-6149	610	4	)	)	PUNCT
ejpam-6149	610	5	.	.	PUNCT
ejpam-6149	611	1	who	who	PRON
ejpam-6149	611	2	coronavirus	coronavirus	NOUN
ejpam-6149	611	3	(	(	PUNCT
ejpam-6149	611	4	covid-19	covid-19	PROPN
ejpam-6149	611	5	)	)	PUNCT
ejpam-6149	611	6	dashboard	dashboard	NOUN
ejpam-6149	611	7	with	with	ADP
ejpam-6149	611	8	vaccination	vaccination	NOUN
ejpam-6149	611	9	data	datum	NOUN
ejpam-6149	611	10	.	.	PUNCT
ejpam-6149	612	1	https://covid19.who.int/region/wpro/country/ph	https://covid19.who.int/region/wpro/country/ph	NUM
ejpam-6149	612	2	[	[	X
ejpam-6149	612	3	31	31	NUM
ejpam-6149	612	4	]	]	PUNCT
ejpam-6149	612	5	ringa	ringa	NOUN
ejpam-6149	612	6	,	,	PUNCT
ejpam-6149	612	7	n.	n.	NOUN
ejpam-6149	612	8	,	,	PUNCT
ejpam-6149	612	9	diagne	diagne	ADJ
ejpam-6149	612	10	,	,	PUNCT
ejpam-6149	612	11	m.	m.	NOUN
ejpam-6149	612	12	,	,	PUNCT
ejpam-6149	612	13	rwezaura	rwezaura	ADV
ejpam-6149	612	14	,	,	PUNCT
ejpam-6149	612	15	h.	h.	PROPN
ejpam-6149	612	16	,	,	PUNCT
ejpam-6149	612	17	omame	omame	NOUN
ejpam-6149	612	18	,	,	PUNCT
ejpam-6149	612	19	a.	a.	NOUN
ejpam-6149	612	20	,	,	PUNCT
ejpam-6149	612	21	tchoumi	tchoumi	NOUN
ejpam-6149	612	22	,	,	PUNCT
ejpam-6149	612	23	s.	s.	PROPN
ejpam-6149	612	24	y.	y.	PROPN
ejpam-6149	612	25	,	,	PUNCT
ejpam-6149	612	26	&	&	CCONJ
ejpam-6149	612	27	tchuenche	tchuenche	PROPN
ejpam-6149	612	28	,	,	PUNCT
ejpam-6149	612	29	j.	j.	PROPN
ejpam-6149	612	30	m.	m.	PROPN
ejpam-6149	612	31	(	(	PUNCT
ejpam-6149	612	32	2022	2022	NUM
ejpam-6149	612	33	)	)	PUNCT
ejpam-6149	612	34	.	.	PUNCT
ejpam-6149	613	1	hiv	hiv	PROPN
ejpam-6149	613	2	and	and	CCONJ
ejpam-6149	613	3	covid-19	covid-19	PROPN
ejpam-6149	613	4	co	co	NOUN
ejpam-6149	613	5	-	-	NOUN
ejpam-6149	613	6	infection	infection	NOUN
ejpam-6149	613	7	:	:	PUNCT
ejpam-6149	613	8	a	a	DET
ejpam-6149	613	9	mathematical	mathematical	ADJ
ejpam-6149	613	10	model	model	NOUN
ejpam-6149	613	11	and	and	CCONJ
ejpam-6149	613	12	optimal	optimal	ADJ
ejpam-6149	613	13	control	control	NOUN
ejpam-6149	613	14	.	.	PUNCT
ejpam-6149	614	1	informatics	informatic	NOUN
ejpam-6149	614	2	in	in	ADP
ejpam-6149	614	3	medicine	medicine	NOUN
ejpam-6149	614	4	unlocked	unlock	VERB
ejpam-6149	614	5	,	,	PUNCT
ejpam-6149	614	6	31	31	NUM
ejpam-6149	614	7	,	,	PUNCT
ejpam-6149	614	8	100978	100978	NUM
ejpam-6149	614	9	.	.	PUNCT
ejpam-6149	615	1	https://doi.org/10.1016/j.imu.2022.100978	https://doi.org/10.1016/j.imu.2022.100978	PROPN
ejpam-6149	616	1	[	[	X
ejpam-6149	616	2	32	32	NUM
ejpam-6149	616	3	]	]	PUNCT
ejpam-6149	616	4	roskilly	roskilly	ADV
ejpam-6149	616	5	,	,	PUNCT
ejpam-6149	616	6	t.	t.	PROPN
ejpam-6149	616	7	,	,	PUNCT
ejpam-6149	616	8	&	&	CCONJ
ejpam-6149	616	9	mikalsen	mikalsen	PROPN
ejpam-6149	616	10	,	,	PUNCT
ejpam-6149	616	11	r.	r.	PROPN
ejpam-6149	616	12	(	(	PUNCT
ejpam-6149	616	13	2015	2015	NUM
ejpam-6149	616	14	)	)	PUNCT
ejpam-6149	616	15	.	.	PUNCT
ejpam-6149	617	1	chapter	chapter	NOUN
ejpam-6149	617	2	five	five	NUM
ejpam-6149	617	3	closed	close	VERB
ejpam-6149	617	4	-	-	PUNCT
ejpam-6149	617	5	loop	loop	NOUN
ejpam-6149	617	6	stability	stability	NOUN
ejpam-6149	617	7	.	.	PUNCT
ejpam-6149	618	1	in	in	ADP
ejpam-6149	618	2	marine	marine	ADJ
ejpam-6149	618	3	systems	system	NOUN
ejpam-6149	618	4	identification	identification	NOUN
ejpam-6149	618	5	,	,	PUNCT
ejpam-6149	618	6	modeling	modeling	NOUN
ejpam-6149	618	7	and	and	CCONJ
ejpam-6149	618	8	control	control	NOUN
ejpam-6149	618	9	.	.	PUNCT
ejpam-6149	619	1	butterworth	butterworth	PROPN
ejpam-6149	619	2	-	-	PUNCT
ejpam-6149	619	3	heinemann	heinemann	PROPN
ejpam-6149	619	4	.	.	PUNCT
ejpam-6149	620	1	[	[	X
ejpam-6149	620	2	33	33	NUM
ejpam-6149	620	3	]	]	PUNCT
ejpam-6149	620	4	rwezaura	rwezaura	NOUN
ejpam-6149	620	5	,	,	PUNCT
ejpam-6149	620	6	h.	h.	PROPN
ejpam-6149	620	7	,	,	PUNCT
ejpam-6149	620	8	kateta	kateta	PROPN
ejpam-6149	620	9	,	,	PUNCT
ejpam-6149	620	10	m.	m.	NOUN
ejpam-6149	620	11	,	,	PUNCT
ejpam-6149	620	12	tchoumi	tchoumi	PROPN
ejpam-6149	620	13	,	,	PUNCT
ejpam-6149	620	14	j.	j.	PROPN
ejpam-6149	620	15	m.	m.	PROPN
ejpam-6149	620	16	n.	n.	PROPN
ejpam-6149	620	17	,	,	PUNCT
ejpam-6149	620	18	&	&	CCONJ
ejpam-6149	620	19	luboobi	luboobi	PROPN
ejpam-6149	620	20	,	,	PUNCT
ejpam-6149	620	21	l.	l.	PROPN
ejpam-6149	620	22	s.	s.	PROPN
ejpam-6149	620	23	(	(	PUNCT
ejpam-6149	620	24	2022	2022	NUM
ejpam-6149	620	25	)	)	PUNCT
ejpam-6149	620	26	.	.	PUNCT
ejpam-6149	621	1	mathematical	mathematical	ADJ
ejpam-6149	621	2	modeling	modeling	NOUN
ejpam-6149	621	3	and	and	CCONJ
ejpam-6149	621	4	optimal	optimal	ADJ
ejpam-6149	621	5	control	control	NOUN
ejpam-6149	621	6	of	of	ADP
ejpam-6149	621	7	sars	sar	NOUN
ejpam-6149	621	8	-	-	PUNCT
ejpam-6149	621	9	cov-2	cov-2	NUM
ejpam-6149	621	10	and	and	CCONJ
ejpam-6149	621	11	tuberculosis	tuberculosis	PRON
ejpam-6149	621	12	co	co	NOUN
ejpam-6149	621	13	-	-	NOUN
ejpam-6149	621	14	infection	infection	NOUN
ejpam-6149	621	15	:	:	PUNCT
ejpam-6149	621	16	a	a	DET
ejpam-6149	621	17	case	case	NOUN
ejpam-6149	621	18	study	study	NOUN
ejpam-6149	621	19	of	of	ADP
ejpam-6149	621	20	indonesia	indonesia	PROPN
ejpam-6149	621	21	.	.	PUNCT
ejpam-6149	621	22	aims	aim	VERB
ejpam-6149	621	23	public	public	ADJ
ejpam-6149	621	24	health	health	NOUN
ejpam-6149	621	25	,	,	PUNCT
ejpam-6149	621	26	9(3	9(3	NUM
ejpam-6149	621	27	)	)	PUNCT
ejpam-6149	621	28	,	,	PUNCT
ejpam-6149	621	29	420–441	420–441	NUM
ejpam-6149	621	30	.	.	PUNCT
ejpam-6149	622	1	https://doi.org/10.1007/s40808-022-01430-6	https://doi.org/10.1007/s40808-022-01430-6	NUM
ejpam-6149	622	2	[	[	X
ejpam-6149	622	3	34	34	NUM
ejpam-6149	622	4	]	]	X
ejpam-6149	622	5	singh	singh	PROPN
ejpam-6149	622	6	,	,	PUNCT
ejpam-6149	622	7	r.	r.	PROPN
ejpam-6149	622	8	,	,	PUNCT
ejpam-6149	622	9	rehman	rehman	PROPN
ejpam-6149	622	10	,	,	PUNCT
ejpam-6149	622	11	a.	a.	PROPN
ejpam-6149	622	12	u.	u.	PROPN
ejpam-6149	622	13	,	,	PUNCT
ejpam-6149	622	14	ahmed	ahmed	PROPN
ejpam-6149	622	15	,	,	PUNCT
ejpam-6149	622	16	t.	t.	PROPN
ejpam-6149	622	17	,	,	PUNCT
ejpam-6149	622	18	ahmad	ahmad	PROPN
ejpam-6149	622	19	,	,	PUNCT
ejpam-6149	622	20	k.	k.	PROPN
ejpam-6149	622	21	,	,	PUNCT
ejpam-6149	622	22	mahajan	mahajan	PROPN
ejpam-6149	622	23	,	,	PUNCT
ejpam-6149	622	24	s.	s.	PROPN
ejpam-6149	622	25	,	,	PUNCT
ejpam-6149	622	26	pandit	pandit	PROPN
ejpam-6149	622	27	,	,	PUNCT
ejpam-6149	622	28	a.	a.	PROPN
ejpam-6149	622	29	k.	k.	PROPN
ejpam-6149	622	30	,	,	PUNCT
ejpam-6149	622	31	abualigah	abualigah	PROPN
ejpam-6149	622	32	,	,	PUNCT
ejpam-6149	622	33	l.	l.	PROPN
ejpam-6149	622	34	,	,	PUNCT
ejpam-6149	622	35	&	&	CCONJ
ejpam-6149	622	36	gandomi	gandomi	PROPN
ejpam-6149	622	37	,	,	PUNCT
ejpam-6149	622	38	a.	a.	NOUN
ejpam-6149	622	39	h.	h.	PROPN
ejpam-6149	622	40	(	(	PUNCT
ejpam-6149	622	41	2023	2023	NUM
ejpam-6149	622	42	)	)	PUNCT
ejpam-6149	622	43	.	.	PUNCT
ejpam-6149	623	1	mathematical	mathematical	ADJ
ejpam-6149	623	2	modelling	modelling	NOUN
ejpam-6149	623	3	and	and	CCONJ
ejpam-6149	623	4	analysis	analysis	NOUN
ejpam-6149	623	5	of	of	ADP
ejpam-6149	623	6	covid19	covid19	NOUN
ejpam-6149	623	7	and	and	CCONJ
ejpam-6149	623	8	tuberculosis	tuberculosis	NOUN
ejpam-6149	623	9	transmission	transmission	NOUN
ejpam-6149	623	10	dynamics	dynamic	NOUN
ejpam-6149	623	11	.	.	PUNCT
ejpam-6149	624	1	informatics	informatic	NOUN
ejpam-6149	624	2	in	in	ADP
ejpam-6149	624	3	medicine	medicine	NOUN
ejpam-6149	624	4	unlocked	unlock	VERB
ejpam-6149	624	5	,	,	PUNCT
ejpam-6149	624	6	101235	101235	NUM
ejpam-6149	624	7	.	.	PUNCT
ejpam-6149	625	1	https://doi.org/10.1016/j.imu.2023.101235	https://doi.org/10.1016/j.imu.2023.101235	PUNCT
ejpam-6149	626	1	[	[	X
ejpam-6149	626	2	35	35	NUM
ejpam-6149	626	3	]	]	PUNCT
ejpam-6149	626	4	t.	t.	PROPN
ejpam-6149	626	5	g.	g.	PROPN
ejpam-6149	626	6	fund	fund	PROPN
ejpam-6149	626	7	,	,	PUNCT
ejpam-6149	626	8	global	global	ADJ
ejpam-6149	626	9	fund	fund	NOUN
ejpam-6149	626	10	results	result	NOUN
ejpam-6149	626	11	report	report	NOUN
ejpam-6149	626	12	reveals	reveal	VERB
ejpam-6149	626	13	covid-19	covid-19	PROPN
ejpam-6149	626	14	devastating	devastating	ADJ
ejpam-6149	626	15	impact	impact	NOUN
ejpam-6149	626	16	on	on	ADP
ejpam-6149	626	17	hiv	hiv	PROPN
ejpam-6149	626	18	,	,	PUNCT
ejpam-6149	626	19	tb	tb	NOUN
ejpam-6149	626	20	and	and	CCONJ
ejpam-6149	626	21	malaria	malaria	NOUN
ejpam-6149	626	22	programs	program	NOUN
ejpam-6149	626	23	,	,	PUNCT
ejpam-6149	626	24	results	result	NOUN
ejpam-6149	626	25	report	report	VERB
ejpam-6149	626	26	2021	2021	NUM
ejpam-6149	626	27	,	,	PUNCT
ejpam-6149	626	28	08	08	NUM
ejpam-6149	626	29	september	september	PROPN
ejpam-6149	626	30	2021	2021	NUM
ejpam-6149	626	31	,	,	PUNCT
ejpam-6149	626	32	tech	tech	NOUN
ejpam-6149	626	33	.	.	PUNCT
ejpam-6149	627	1	rep	rep	PROPN
ejpam-6149	627	2	.	.	PROPN
ejpam-6149	627	3	,	,	PUNCT
ejpam-6149	627	4	the	the	DET
ejpam-6149	627	5	global	global	ADJ
ejpam-6149	627	6	fund	fund	NOUN
ejpam-6149	627	7	,	,	PUNCT
ejpam-6149	627	8	2021	2021	NUM
ejpam-6149	627	9	.	.	PUNCT
ejpam-6149	628	1	[	[	X
ejpam-6149	628	2	36	36	NUM
ejpam-6149	628	3	]	]	SYM
ejpam-6149	628	4	tuberculosis	tuberculosis	NOUN
ejpam-6149	628	5	(	(	PUNCT
ejpam-6149	628	6	tb	tb	NOUN
ejpam-6149	628	7	)	)	PUNCT
ejpam-6149	628	8	.	.	PUNCT
ejpam-6149	629	1	(	(	PUNCT
ejpam-6149	629	2	2023	2023	NUM
ejpam-6149	629	3	,	,	PUNCT
ejpam-6149	629	4	april	april	PROPN
ejpam-6149	629	5	21	21	NUM
ejpam-6149	629	6	)	)	PUNCT
ejpam-6149	629	7	.	.	PUNCT
ejpam-6149	630	1	tuberculosis	tuberculosis	NOUN
ejpam-6149	630	2	.	.	PUNCT
ejpam-6149	631	1	https://www.who.int/news-room/factsheets/detail/tuberculosis	https://www.who.int/news-room/factsheets/detail/tuberculosis	NOUN
ejpam-6149	631	2	manila	manila	PROPN
ejpam-6149	631	3	university	university	NOUN
ejpam-6149	631	4	,	,	PUNCT
ejpam-6149	631	5	unpublish	unpublish	ADJ
ejpam-6149	631	6	lecture	lecture	NOUN
ejpam-6149	631	7	notes	note	NOUN
ejpam-6149	631	8	.	.	PUNCT
ejpam-6149	632	1	[	[	X
ejpam-6149	632	2	37	37	NUM
ejpam-6149	632	3	]	]	X
ejpam-6149	632	4	wiggins	wiggins	PROPN
ejpam-6149	632	5	,	,	PUNCT
ejpam-6149	632	6	s.	s.	PROPN
ejpam-6149	632	7	(	(	PUNCT
ejpam-6149	632	8	1990	1990	NUM
ejpam-6149	632	9	)	)	PUNCT
ejpam-6149	632	10	.	.	PUNCT
ejpam-6149	633	1	introduction	introduction	NOUN
ejpam-6149	633	2	to	to	AUX
ejpam-6149	633	3	applied	apply	VERB
ejpam-6149	633	4	nonlinear	nonlinear	ADJ
ejpam-6149	633	5	dynamical	dynamical	ADJ
ejpam-6149	633	6	systems	system	NOUN
ejpam-6149	633	7	and	and	CCONJ
ejpam-6149	633	8	chaos	chaos	NOUN
ejpam-6149	633	9	.	.	PUNCT
ejpam-6149	634	1	springer	springer	NOUN
ejpam-6149	635	1	[	[	X
ejpam-6149	635	2	38	38	NUM
ejpam-6149	635	3	]	]	PUNCT
ejpam-6149	635	4	who	who	PRON
ejpam-6149	635	5	coronavirus	coronavirus	VERB
ejpam-6149	635	6	(	(	PUNCT
ejpam-6149	635	7	covid-19	covid-19	PROPN
ejpam-6149	635	8	)	)	PUNCT
ejpam-6149	635	9	dashboard	dashboard	NOUN
ejpam-6149	635	10	.	.	PUNCT
ejpam-6149	636	1	(	(	PUNCT
ejpam-6149	636	2	n.d	n.d	PROPN
ejpam-6149	636	3	.	.	PROPN
ejpam-6149	636	4	)	)	PUNCT
ejpam-6149	636	5	.	.	PUNCT
ejpam-6149	637	1	who	who	PRON
ejpam-6149	637	2	coronavirus	coronavirus	NOUN
ejpam-6149	637	3	(	(	PUNCT
ejpam-6149	637	4	covid-19	covid-19	PROPN
ejpam-6149	637	5	)	)	PUNCT
ejpam-6149	637	6	dashboard	dashboard	NOUN
ejpam-6149	637	7	with	with	ADP
ejpam-6149	637	8	vaccination	vaccination	NOUN
ejpam-6149	637	9	data	datum	NOUN
ejpam-6149	637	10	.	.	PUNCT
ejpam-6149	638	1	https://covid19.who.int/	https://covid19.who.int/	PROPN
ejpam-6149	639	1	[	[	X
ejpam-6149	639	2	39	39	NUM
ejpam-6149	639	3	]	]	PUNCT
ejpam-6149	639	4	world	world	NOUN
ejpam-6149	639	5	health	health	NOUN
ejpam-6149	639	6	organization	organization	NOUN
ejpam-6149	639	7	:	:	PUNCT
ejpam-6149	639	8	who	who	PRON
ejpam-6149	639	9	&	&	CCONJ
ejpam-6149	639	10	world	world	PROPN
ejpam-6149	639	11	health	health	PROPN
ejpam-6149	639	12	organization	organization	NOUN
ejpam-6149	639	13	:	:	PUNCT
ejpam-6149	639	14	who	who	PRON
ejpam-6149	639	15	.	.	PUNCT
ejpam-6149	640	1	(	(	PUNCT
ejpam-6149	640	2	2023	2023	NUM
ejpam-6149	640	3	)	)	PUNCT
ejpam-6149	640	4	.	.	PUNCT
ejpam-6149	641	1	tuberculoj	tuberculoj	PROPN
ejpam-6149	641	2	.	.	PUNCT
ejpam-6149	642	1	puebla	puebla	PROPN
ejpam-6149	642	2	,	,	PUNCT
ejpam-6149	642	3	jm	jm	PROPN
ejpam-6149	642	4	.	.	PROPN
ejpam-6149	642	5	macalalag	macalalag	PROPN
ejpam-6149	642	6	,	,	PUNCT
ejpam-6149	642	7	k.	k.	PROPN
ejpam-6149	642	8	pajaron	pajaron	PROPN
ejpam-6149	642	9	/	/	SYM
ejpam-6149	642	10	eur	eur	PROPN
ejpam-6149	642	11	.	.	PUNCT
ejpam-6149	643	1	j.	j.	PROPN
ejpam-6149	643	2	pure	pure	PROPN
ejpam-6149	643	3	appl	appl	PROPN
ejpam-6149	643	4	.	.	PROPN
ejpam-6149	643	5	math	math	PROPN
ejpam-6149	643	6	,	,	PUNCT
ejpam-6149	643	7	18	18	NUM
ejpam-6149	643	8	(	(	PUNCT
ejpam-6149	643	9	3	3	NUM
ejpam-6149	643	10	)	)	PUNCT
ejpam-6149	643	11	(	(	PUNCT
ejpam-6149	643	12	2025	2025	NUM
ejpam-6149	643	13	)	)	PUNCT
ejpam-6149	643	14	,	,	PUNCT
ejpam-6149	643	15	6149	6149	NUM
ejpam-6149	643	16	28	28	NUM
ejpam-6149	643	17	of	of	ADP
ejpam-6149	643	18	28	28	NUM
ejpam-6149	643	19	sis	sis	NOUN
ejpam-6149	643	20	.	.	PUNCT
ejpam-6149	644	1	www.who.int	www.who.int	NOUN
ejpam-6149	644	2	.	.	PUNCT
ejpam-6149	645	1	https://www.who.int/news-room/fact-sheets/detail/tuberculosis	https://www.who.int/news-room/fact-sheets/detail/tuberculosis	X
ejpam-6149	646	1	[	[	X
ejpam-6149	646	2	40	40	NUM
ejpam-6149	646	3	]	]	PUNCT
ejpam-6149	646	4	world	world	PROPN
ejpam-6149	646	5	health	health	NOUN
ejpam-6149	646	6	organization	organization	NOUN
ejpam-6149	646	7	.	.	PUNCT
ejpam-6149	647	1	(	(	PUNCT
ejpam-6149	647	2	2021	2021	NUM
ejpam-6149	647	3	)	)	PUNCT
ejpam-6149	647	4	.	.	PUNCT
ejpam-6149	648	1	tuberculosis	tuberculosis	NOUN
ejpam-6149	648	2	and	and	CCONJ
ejpam-6149	648	3	covid-19	covid-19	PROPN
ejpam-6149	648	4	.	.	PUNCT
ejpam-6149	648	5	https://www.who.int/teams/global-tuberculosis-programme/covid-19	https://www.who.int/teams/global-tuberculosis-programme/covid-19	PROPN
ejpam-6149	649	1	[	[	X
ejpam-6149	649	2	41	41	NUM
ejpam-6149	649	3	]	]	PUNCT
ejpam-6149	649	4	world	world	NOUN
ejpam-6149	649	5	population	population	NOUN
ejpam-6149	649	6	review	review	NOUN
ejpam-6149	649	7	.	.	PUNCT
ejpam-6149	650	1	(	(	PUNCT
ejpam-6149	650	2	n.d	n.d	PROPN
ejpam-6149	650	3	.	.	PROPN
ejpam-6149	650	4	)	)	PUNCT
ejpam-6149	650	5	.	.	PUNCT
ejpam-6149	651	1	tb	tb	ADP
ejpam-6149	651	2	rate	rate	NOUN
ejpam-6149	651	3	by	by	ADP
ejpam-6149	651	4	country	country	NOUN
ejpam-6149	651	5	/	/	SYM
ejpam-6149	651	6	tuberculosis	tuberculosis	NOUN
ejpam-6149	651	7	rate	rate	NOUN
ejpam-6149	651	8	by	by	ADP
ejpam-6149	651	9	country	country	NOUN
ejpam-6149	651	10	2023	2023	NUM
ejpam-6149	651	11	.	.	PUNCT
ejpam-6149	652	1	https://worldpopulationreview.com/country-rankings/tb-rate-by-country	https://worldpopulationreview.com/country-rankings/tb-rate-by-country	NOUN
ejpam-6149	653	1	[	[	X
ejpam-6149	653	2	42	42	NUM
ejpam-6149	653	3	]	]	X
ejpam-6149	653	4	tchoumi	tchoumi	NOUN
ejpam-6149	653	5	,	,	PUNCT
ejpam-6149	653	6	s.	s.	PROPN
ejpam-6149	653	7	y.	y.	PROPN
ejpam-6149	653	8	,	,	PUNCT
ejpam-6149	653	9	diagne	diagne	VERB
ejpam-6149	653	10	,	,	PUNCT
ejpam-6149	653	11	m.	m.	NOUN
ejpam-6149	653	12	,	,	PUNCT
ejpam-6149	653	13	rwezaura	rwezaura	ADV
ejpam-6149	653	14	,	,	PUNCT
ejpam-6149	653	15	h.	h.	PROPN
ejpam-6149	653	16	,	,	PUNCT
ejpam-6149	653	17	&	&	CCONJ
ejpam-6149	653	18	tchuenche	tchuenche	PROPN
ejpam-6149	653	19	,	,	PUNCT
ejpam-6149	653	20	j.	j.	PROPN
ejpam-6149	653	21	m.	m.	PROPN
ejpam-6149	653	22	(	(	PUNCT
ejpam-6149	653	23	2021	2021	NUM
ejpam-6149	653	24	)	)	PUNCT
ejpam-6149	653	25	.	.	PUNCT
ejpam-6149	654	1	malaria	malaria	NOUN
ejpam-6149	654	2	and	and	CCONJ
ejpam-6149	654	3	covid19	covid19	NOUN
ejpam-6149	654	4	co	co	NOUN
ejpam-6149	654	5	-	-	NOUN
ejpam-6149	654	6	dynamics	dynamic	NOUN
ejpam-6149	654	7	:	:	PUNCT
ejpam-6149	654	8	a	a	DET
ejpam-6149	654	9	mathematical	mathematical	ADJ
ejpam-6149	654	10	model	model	NOUN
ejpam-6149	654	11	and	and	CCONJ
ejpam-6149	654	12	optimal	optimal	ADJ
ejpam-6149	654	13	control	control	NOUN
ejpam-6149	654	14	.	.	PUNCT
ejpam-6149	655	1	applied	apply	VERB
ejpam-6149	655	2	mathematical	mathematical	ADJ
ejpam-6149	655	3	modelling	modelling	NOUN
ejpam-6149	655	4	,	,	PUNCT
ejpam-6149	655	5	99	99	NUM
ejpam-6149	655	6	,	,	PUNCT
ejpam-6149	655	7	294–327	294–327	NUM
ejpam-6149	655	8	.	.	PUNCT
ejpam-6149	656	1	https://doi.org/10.1016/j.apm.2021.06.016	https://doi.org/10.1016/j.apm.2021.06.016	NOUN
ejpam-6149	656	2	[	[	X
ejpam-6149	656	3	43	43	NUM
ejpam-6149	656	4	]	]	PUNCT
ejpam-6149	656	5	t.-.g.s	t.-.g.	NOUN
ejpam-6149	656	6	.	.	NOUN
ejpam-6149	656	7	group	group	NOUN
ejpam-6149	656	8	,	,	PUNCT
ejpam-6149	656	9	et	et	PROPN
ejpam-6149	656	10	al	al	PROPN
ejpam-6149	656	11	.	.	PROPN
ejpam-6149	656	12	,	,	PUNCT
ejpam-6149	656	13	tuberculosis	tuberculosis	NOUN
ejpam-6149	656	14	and	and	CCONJ
ejpam-6149	656	15	covid	covid	VERB
ejpam-6149	656	16	19	19	NUM
ejpam-6149	656	17	co	co	NOUN
ejpam-6149	656	18	-	-	NOUN
ejpam-6149	656	19	infection	infection	NOUN
ejpam-6149	656	20	:	:	PUNCT
ejpam-6149	656	21	description	description	NOUN
ejpam-6149	656	22	of	of	ADP
ejpam-6149	656	23	the	the	DET
ejpam-6149	656	24	global	global	ADJ
ejpam-6149	656	25	cohort	cohort	NOUN
ejpam-6149	656	26	,	,	PUNCT
ejpam-6149	656	27	eur.respir.j.59(3)(2022	eur.respir.j.59(3)(2022	NOUN
ejpam-6149	656	28	)	)	PUNCT
ejpam-6149	656	29	.	.	PUNCT
ejpam-6149	657	1	https://doi.org/10.1183/13993003.02538-2021	https://doi.org/10.1183/13993003.02538-2021	PART
ejpam-6149	658	1	[	[	X
ejpam-6149	658	2	44	44	NUM
ejpam-6149	658	3	]	]	PUNCT
ejpam-6149	658	4	van	van	PROPN
ejpam-6149	658	5	den	den	PROPN
ejpam-6149	658	6	driessche	driessche	NOUN
ejpam-6149	658	7	p	p	NOUN
ejpam-6149	658	8	,	,	PUNCT
ejpam-6149	658	9	watmough	watmough	PROPN
ejpam-6149	658	10	j.	j.	PROPN
ejpam-6149	658	11	reproduction	reproduction	NOUN
ejpam-6149	658	12	numbers	number	NOUN
ejpam-6149	658	13	and	and	CCONJ
ejpam-6149	658	14	sub	sub	ADJ
ejpam-6149	658	15	-	-	ADJ
ejpam-6149	658	16	threshold	threshold	ADJ
ejpam-6149	658	17	endemic	endemic	ADJ
ejpam-6149	658	18	equilibria	equilibrium	NOUN
ejpam-6149	658	19	for	for	ADP
ejpam-6149	658	20	compartmental	compartmental	ADJ
ejpam-6149	658	21	models	model	NOUN
ejpam-6149	658	22	of	of	ADP
ejpam-6149	658	23	disease	disease	NOUN
ejpam-6149	658	24	transmission	transmission	NOUN
ejpam-6149	658	25	.	.	PUNCT
ejpam-6149	659	1	math	math	PROPN
ejpam-6149	659	2	biosci	biosci	PROPN
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ejpam-6149	659	4	.	.	PUNCT
ejpam-6149	660	1	[	[	X
ejpam-6149	660	2	45	45	NUM
ejpam-6149	660	3	]	]	PUNCT
ejpam-6149	660	4	vedantu	vedantu	NOUN
ejpam-6149	660	5	.	.	PUNCT
ejpam-6149	661	1	(	(	PUNCT
ejpam-6149	661	2	n.d	n.d	PROPN
ejpam-6149	661	3	.	.	PROPN
ejpam-6149	661	4	)	)	PUNCT
ejpam-6149	661	5	.	.	PUNCT
ejpam-6149	662	1	diseasestypes	diseasestype	NOUN
ejpam-6149	662	2	of	of	ADP
ejpam-6149	662	3	diseases	disease	NOUN
ejpam-6149	662	4	and	and	CCONJ
ejpam-6149	662	5	their	their	PRON
ejpam-6149	662	6	symptoms	symptom	NOUN
ejpam-6149	662	7	.	.	PUNCT
ejpam-6149	663	1	vedantu	vedantu	NOUN
ejpam-6149	663	2	.	.	PUNCT
ejpam-6149	664	1	https://www.vedantu.com/biology/types-of-diseases-and-symptoms	https://www.vedantu.com/biology/types-of-diseases-and-symptoms	X
ejpam-6149	665	1	[	[	X
ejpam-6149	665	2	46	46	NUM
ejpam-6149	665	3	]	]	X
ejpam-6149	665	4	zamir	zamir	PROPN
ejpam-6149	665	5	,	,	PUNCT
ejpam-6149	665	6	m.	m.	NOUN
ejpam-6149	665	7	,	,	PUNCT
ejpam-6149	665	8	nadeem	nadeem	PROPN
ejpam-6149	665	9	,	,	PUNCT
ejpam-6149	665	10	f.	f.	PROPN
ejpam-6149	665	11	,	,	PUNCT
ejpam-6149	665	12	abdeljawad	abdeljawad	NOUN
ejpam-6149	665	13	,	,	PUNCT
ejpam-6149	665	14	t.	t.	PROPN
ejpam-6149	665	15	,	,	PUNCT
ejpam-6149	665	16	&	&	CCONJ
ejpam-6149	665	17	hammouch	hammouch	PROPN
ejpam-6149	665	18	,	,	PUNCT
ejpam-6149	665	19	z.	z.	PROPN
ejpam-6149	665	20	(	(	PUNCT
ejpam-6149	665	21	2021	2021	NUM
ejpam-6149	665	22	)	)	PUNCT
ejpam-6149	665	23	.	.	PUNCT
ejpam-6149	666	1	threshold	threshold	NOUN
ejpam-6149	666	2	condition	condition	NOUN
ejpam-6149	666	3	and	and	CCONJ
ejpam-6149	666	4	non	non	ADJ
ejpam-6149	666	5	-	-	ADJ
ejpam-6149	666	6	pharmaceutical	pharmaceutical	ADJ
ejpam-6149	666	7	interventions	intervention	NOUN
ejpam-6149	666	8	’	'	PUNCT
ejpam-6149	666	9	control	control	NOUN
ejpam-6149	666	10	strategies	strategy	NOUN
ejpam-6149	666	11	for	for	ADP
ejpam-6149	666	12	elimination	elimination	NOUN
ejpam-6149	666	13	of	of	ADP
ejpam-6149	666	14	covid-19	covid-19	PROPN
ejpam-6149	666	15	.	.	PUNCT
ejpam-6149	666	16	results	result	NOUN
ejpam-6149	666	17	in	in	ADP
ejpam-6149	666	18	physics	physics	NOUN
ejpam-6149	666	19	,	,	PUNCT
ejpam-6149	666	20	20	20	NUM
ejpam-6149	666	21	,	,	PUNCT
ejpam-6149	666	22	article	article	NOUN
ejpam-6149	666	23	103698	103698	NUM
ejpam-6149	666	24	.	.	PUNCT
ejpam-6149	667	1	https://doi.org/10.1016/j.rinp.2020.103698	https://doi.org/10.1016/j.rinp.2020.103698	PROPN
ejpam-6149	667	2	[	[	X
ejpam-6149	667	3	47	47	NUM
ejpam-6149	667	4	]	]	X
ejpam-6149	667	5	zeb	zeb	PROPN
ejpam-6149	667	6	,	,	PUNCT
ejpam-6149	667	7	a.	a.	PROPN
ejpam-6149	667	8	,	,	PUNCT
ejpam-6149	667	9	alzahrani	alzahrani	PROPN
ejpam-6149	667	10	,	,	PUNCT
ejpam-6149	667	11	e.	e.	PROPN
ejpam-6149	667	12	o.	o.	PROPN
ejpam-6149	667	13	,	,	PUNCT
ejpam-6149	667	14	erturk	erturk	PROPN
ejpam-6149	667	15	,	,	PUNCT
ejpam-6149	667	16	v.	v.	PROPN
ejpam-6149	667	17	s.	s.	PROPN
ejpam-6149	667	18	,	,	PUNCT
ejpam-6149	667	19	&	&	CCONJ
ejpam-6149	667	20	zaman	zaman	PROPN
ejpam-6149	667	21	,	,	PUNCT
ejpam-6149	667	22	g.	g.	PROPN
ejpam-6149	667	23	(	(	PUNCT
ejpam-6149	667	24	2020	2020	NUM
ejpam-6149	667	25	)	)	PUNCT
ejpam-6149	667	26	.	.	PUNCT
ejpam-6149	668	1	mathematical	mathematical	ADJ
ejpam-6149	668	2	model	model	NOUN
ejpam-6149	668	3	for	for	ADP
ejpam-6149	668	4	coronavirus	coronavirus	NOUN
ejpam-6149	668	5	disease	disease	NOUN
ejpam-6149	668	6	2019	2019	NUM
ejpam-6149	668	7	(	(	PUNCT
ejpam-6149	668	8	covid-19	covid-19	PROPN
ejpam-6149	668	9	)	)	PUNCT
ejpam-6149	668	10	containing	contain	VERB
ejpam-6149	668	11	isolation	isolation	NOUN
ejpam-6149	668	12	class	class	NOUN
ejpam-6149	668	13	.	.	PUNCT
ejpam-6149	668	14	biomed	biome	VERB
ejpam-6149	668	15	research	research	NOUN
ejpam-6149	668	16	international	international	PROPN
ejpam-6149	668	17	,	,	PUNCT
ejpam-6149	668	18	2020	2020	NUM
ejpam-6149	668	19	,	,	PUNCT
ejpam-6149	668	20	1–7	1–7	X
ejpam-6149	668	21	.	.	PUNCT
ejpam-6149	669	1	https://doi.org/10.1155/2020/3452402	https://doi.org/10.1155/2020/3452402	PROPN