id	sid	tid	token	lemma	pos
ejpam-6750	1	1	european	european	PROPN
ejpam-6750	1	2	journal	journal	PROPN
ejpam-6750	1	3	of	of	ADP
ejpam-6750	1	4	pure	pure	ADJ
ejpam-6750	1	5	and	and	CCONJ
ejpam-6750	1	6	applied	applied	ADJ
ejpam-6750	1	7	mathematics	mathematic	NOUN
ejpam-6750	1	8	2025	2025	NUM
ejpam-6750	1	9	,	,	PUNCT
ejpam-6750	1	10	vol	vol	NOUN
ejpam-6750	1	11	.	.	PROPN
ejpam-6750	1	12	18	18	NUM
ejpam-6750	1	13	,	,	PUNCT
ejpam-6750	1	14	issue	issue	NOUN
ejpam-6750	1	15	4	4	NUM
ejpam-6750	1	16	,	,	PUNCT
ejpam-6750	1	17	article	article	NOUN
ejpam-6750	1	18	number	number	NOUN
ejpam-6750	1	19	6750	6750	NUM
ejpam-6750	1	20	issn	issn	PROPN
ejpam-6750	1	21	1307	1307	NUM
ejpam-6750	1	22	-	-	SYM
ejpam-6750	1	23	5543	5543	NUM
ejpam-6750	1	24	–	–	PUNCT
ejpam-6750	1	25	ejpam.com	ejpam.com	X
ejpam-6750	1	26	published	publish	VERB
ejpam-6750	1	27	by	by	ADP
ejpam-6750	1	28	new	new	PROPN
ejpam-6750	1	29	york	york	PROPN
ejpam-6750	1	30	business	business	PROPN
ejpam-6750	1	31	global	global	ADJ
ejpam-6750	1	32	analysis	analysis	NOUN
ejpam-6750	1	33	of	of	ADP
ejpam-6750	1	34	monkeypox	monkeypox	NOUN
ejpam-6750	1	35	transmission	transmission	NOUN
ejpam-6750	1	36	dynamics	dynamic	NOUN
ejpam-6750	1	37	incorporating	incorporate	VERB
ejpam-6750	1	38	quarantine	quarantine	NOUN
ejpam-6750	1	39	and	and	CCONJ
ejpam-6750	1	40	surface	surface	PROPN
ejpam-6750	1	41	contamination	contamination	PROPN
ejpam-6750	1	42	julito	julito	PROPN
ejpam-6750	1	43	a.	a.	PROPN
ejpam-6750	1	44	puebla	puebla	PROPN
ejpam-6750	2	1	jr	jr	PROPN
ejpam-6750	2	2	.	.	PROPN
ejpam-6750	2	3	department	department	PROPN
ejpam-6750	2	4	of	of	ADP
ejpam-6750	2	5	general	general	ADJ
ejpam-6750	2	6	education	education	NOUN
ejpam-6750	2	7	,	,	PUNCT
ejpam-6750	2	8	caraga	caraga	PROPN
ejpam-6750	2	9	state	state	PROPN
ejpam-6750	2	10	university	university	PROPN
ejpam-6750	2	11	cabadbaran	cabadbaran	PROPN
ejpam-6750	2	12	campus	campus	NOUN
ejpam-6750	2	13	,	,	PUNCT
ejpam-6750	2	14	8605	8605	NUM
ejpam-6750	2	15	cabadbaran	cabadbaran	VERB
ejpam-6750	2	16	city	city	NOUN
ejpam-6750	2	17	,	,	PUNCT
ejpam-6750	2	18	philippines	philippine	NOUN
ejpam-6750	2	19	abstract	abstract	ADJ
ejpam-6750	2	20	.	.	PUNCT
ejpam-6750	3	1	monkeypox	monkeypox	NOUN
ejpam-6750	3	2	(	(	PUNCT
ejpam-6750	3	3	mpox	mpox	NOUN
ejpam-6750	3	4	)	)	PUNCT
ejpam-6750	3	5	is	be	AUX
ejpam-6750	3	6	a	a	DET
ejpam-6750	3	7	zoonotic	zoonotic	ADJ
ejpam-6750	3	8	viral	viral	ADJ
ejpam-6750	3	9	disease	disease	NOUN
ejpam-6750	3	10	that	that	PRON
ejpam-6750	3	11	has	have	AUX
ejpam-6750	3	12	re	re	VERB
ejpam-6750	3	13	-	-	VERB
ejpam-6750	3	14	emerged	emerge	VERB
ejpam-6750	3	15	as	as	ADP
ejpam-6750	3	16	a	a	DET
ejpam-6750	3	17	global	global	ADJ
ejpam-6750	3	18	health	health	NOUN
ejpam-6750	3	19	concern	concern	NOUN
ejpam-6750	3	20	since	since	SCONJ
ejpam-6750	3	21	2022	2022	NUM
ejpam-6750	3	22	.	.	PUNCT
ejpam-6750	4	1	in	in	ADP
ejpam-6750	4	2	countries	country	NOUN
ejpam-6750	4	3	with	with	ADP
ejpam-6750	4	4	limited	limited	ADJ
ejpam-6750	4	5	vaccine	vaccine	NOUN
ejpam-6750	4	6	access	access	NOUN
ejpam-6750	4	7	,	,	PUNCT
ejpam-6750	4	8	non	non	ADJ
ejpam-6750	4	9	-	-	ADJ
ejpam-6750	4	10	pharmaceutical	pharmaceutical	ADJ
ejpam-6750	4	11	interventions	intervention	NOUN
ejpam-6750	4	12	such	such	ADJ
ejpam-6750	4	13	as	as	ADP
ejpam-6750	4	14	quarantine	quarantine	NOUN
ejpam-6750	4	15	and	and	CCONJ
ejpam-6750	4	16	environmental	environmental	ADJ
ejpam-6750	4	17	sanitation	sanitation	NOUN
ejpam-6750	4	18	remain	remain	VERB
ejpam-6750	4	19	the	the	DET
ejpam-6750	4	20	primary	primary	ADJ
ejpam-6750	4	21	control	control	NOUN
ejpam-6750	4	22	strategies	strategy	NOUN
ejpam-6750	4	23	.	.	PUNCT
ejpam-6750	5	1	however	however	ADV
ejpam-6750	5	2	,	,	PUNCT
ejpam-6750	5	3	existing	exist	VERB
ejpam-6750	5	4	models	model	NOUN
ejpam-6750	5	5	rarely	rarely	ADV
ejpam-6750	5	6	integrate	integrate	VERB
ejpam-6750	5	7	both	both	DET
ejpam-6750	5	8	measures	measure	NOUN
ejpam-6750	5	9	within	within	ADP
ejpam-6750	5	10	a	a	DET
ejpam-6750	5	11	single	single	ADJ
ejpam-6750	5	12	analytical	analytical	ADJ
ejpam-6750	5	13	framework	framework	NOUN
ejpam-6750	5	14	.	.	PUNCT
ejpam-6750	6	1	this	this	DET
ejpam-6750	6	2	study	study	NOUN
ejpam-6750	6	3	develops	develop	VERB
ejpam-6750	6	4	and	and	CCONJ
ejpam-6750	6	5	analyzes	analyze	VERB
ejpam-6750	6	6	a	a	DET
ejpam-6750	6	7	deterministic	deterministic	ADJ
ejpam-6750	6	8	seiqr	seiqr	ADJ
ejpam-6750	6	9	-	-	PUNCT
ejpam-6750	6	10	c	c	NOUN
ejpam-6750	6	11	model	model	NOUN
ejpam-6750	6	12	that	that	PRON
ejpam-6750	6	13	incorporates	incorporate	VERB
ejpam-6750	6	14	quarantine	quarantine	NOUN
ejpam-6750	6	15	protocols	protocol	NOUN
ejpam-6750	6	16	and	and	CCONJ
ejpam-6750	6	17	surface	surface	NOUN
ejpam-6750	6	18	contamination	contamination	NOUN
ejpam-6750	6	19	to	to	PART
ejpam-6750	6	20	examine	examine	VERB
ejpam-6750	6	21	the	the	DET
ejpam-6750	6	22	transmission	transmission	NOUN
ejpam-6750	6	23	dynamics	dynamic	NOUN
ejpam-6750	6	24	of	of	ADP
ejpam-6750	6	25	monkeypox	monkeypox	NOUN
ejpam-6750	6	26	.	.	PUNCT
ejpam-6750	7	1	the	the	DET
ejpam-6750	7	2	model	model	NOUN
ejpam-6750	7	3	divides	divide	VERB
ejpam-6750	7	4	the	the	DET
ejpam-6750	7	5	human	human	ADJ
ejpam-6750	7	6	population	population	NOUN
ejpam-6750	7	7	into	into	ADP
ejpam-6750	7	8	susceptible	susceptible	ADJ
ejpam-6750	7	9	,	,	PUNCT
ejpam-6750	7	10	exposed	expose	VERB
ejpam-6750	7	11	,	,	PUNCT
ejpam-6750	7	12	infectious	infectious	ADJ
ejpam-6750	7	13	,	,	PUNCT
ejpam-6750	7	14	quarantined	quarantined	ADJ
ejpam-6750	7	15	,	,	PUNCT
ejpam-6750	7	16	and	and	CCONJ
ejpam-6750	7	17	recovered	recover	VERB
ejpam-6750	7	18	compartments	compartment	NOUN
ejpam-6750	7	19	,	,	PUNCT
ejpam-6750	7	20	alongside	alongside	ADP
ejpam-6750	7	21	a	a	DET
ejpam-6750	7	22	contaminated	contaminate	VERB
ejpam-6750	7	23	-	-	PUNCT
ejpam-6750	7	24	surface	surface	NOUN
ejpam-6750	7	25	component	component	NOUN
ejpam-6750	7	26	.	.	PUNCT
ejpam-6750	8	1	using	use	VERB
ejpam-6750	8	2	the	the	DET
ejpam-6750	8	3	next	next	ADJ
ejpam-6750	8	4	generation	generation	NOUN
ejpam-6750	8	5	matrix	matrix	NOUN
ejpam-6750	8	6	approach	approach	NOUN
ejpam-6750	8	7	,	,	PUNCT
ejpam-6750	8	8	the	the	DET
ejpam-6750	8	9	basic	basic	ADJ
ejpam-6750	8	10	reproduction	reproduction	NOUN
ejpam-6750	8	11	number	number	NOUN
ejpam-6750	8	12	(	(	PUNCT
ejpam-6750	8	13	r0	r0	NOUN
ejpam-6750	8	14	)	)	PUNCT
ejpam-6750	8	15	is	be	AUX
ejpam-6750	8	16	derived	derive	VERB
ejpam-6750	8	17	,	,	PUNCT
ejpam-6750	8	18	accounting	account	VERB
ejpam-6750	8	19	for	for	ADP
ejpam-6750	8	20	both	both	CCONJ
ejpam-6750	8	21	direct	direct	ADJ
ejpam-6750	8	22	and	and	CCONJ
ejpam-6750	8	23	indirect	indirect	ADJ
ejpam-6750	8	24	transmission	transmission	NOUN
ejpam-6750	8	25	.	.	PUNCT
ejpam-6750	9	1	analytical	analytical	ADJ
ejpam-6750	9	2	results	result	NOUN
ejpam-6750	9	3	show	show	VERB
ejpam-6750	9	4	that	that	SCONJ
ejpam-6750	9	5	the	the	DET
ejpam-6750	9	6	disease	disease	NOUN
ejpam-6750	9	7	-	-	PUNCT
ejpam-6750	9	8	free	free	ADJ
ejpam-6750	9	9	equilibrium	equilibrium	NOUN
ejpam-6750	9	10	is	be	AUX
ejpam-6750	9	11	locally	locally	ADV
ejpam-6750	9	12	and	and	CCONJ
ejpam-6750	9	13	globally	globally	ADV
ejpam-6750	9	14	asymptotically	asymptotically	ADV
ejpam-6750	9	15	stable	stable	ADJ
ejpam-6750	9	16	when	when	SCONJ
ejpam-6750	9	17	r0	r0	NOUN
ejpam-6750	9	18	<	<	X
ejpam-6750	9	19	1	1	NUM
ejpam-6750	9	20	,	,	PUNCT
ejpam-6750	9	21	and	and	CCONJ
ejpam-6750	9	22	that	that	SCONJ
ejpam-6750	9	23	an	an	DET
ejpam-6750	9	24	endemic	endemic	ADJ
ejpam-6750	9	25	equilibrium	equilibrium	NOUN
ejpam-6750	9	26	exists	exist	VERB
ejpam-6750	9	27	when	when	SCONJ
ejpam-6750	9	28	r0	r0	NOUN
ejpam-6750	9	29	>	>	X
ejpam-6750	9	30	1	1	X
ejpam-6750	9	31	.	.	PUNCT
ejpam-6750	9	32	numerical	numerical	ADJ
ejpam-6750	9	33	simulations	simulation	NOUN
ejpam-6750	9	34	confirm	confirm	VERB
ejpam-6750	9	35	that	that	SCONJ
ejpam-6750	9	36	increasing	increase	VERB
ejpam-6750	9	37	quarantine	quarantine	NOUN
ejpam-6750	9	38	efficiency	efficiency	NOUN
ejpam-6750	9	39	and	and	CCONJ
ejpam-6750	9	40	cleaning	cleaning	NOUN
ejpam-6750	9	41	or	or	CCONJ
ejpam-6750	9	42	decay	decay	NOUN
ejpam-6750	9	43	rates	rate	NOUN
ejpam-6750	9	44	significantly	significantly	ADV
ejpam-6750	9	45	reduce	reduce	VERB
ejpam-6750	9	46	infection	infection	NOUN
ejpam-6750	9	47	persistence	persistence	NOUN
ejpam-6750	9	48	,	,	PUNCT
ejpam-6750	9	49	underscoring	underscore	VERB
ejpam-6750	9	50	their	their	PRON
ejpam-6750	9	51	vital	vital	ADJ
ejpam-6750	9	52	roles	role	NOUN
ejpam-6750	9	53	in	in	ADP
ejpam-6750	9	54	controlling	control	VERB
ejpam-6750	9	55	monkeypox	monkeypox	NOUN
ejpam-6750	9	56	outbreaks	outbreak	NOUN
ejpam-6750	9	57	in	in	ADP
ejpam-6750	9	58	low	low	ADJ
ejpam-6750	9	59	-	-	PUNCT
ejpam-6750	9	60	resource	resource	NOUN
ejpam-6750	9	61	settings	setting	NOUN
ejpam-6750	9	62	.	.	PUNCT
ejpam-6750	10	1	2020	2020	NUM
ejpam-6750	10	2	mathematics	mathematic	NOUN
ejpam-6750	10	3	subject	subject	NOUN
ejpam-6750	10	4	classifications	classification	NOUN
ejpam-6750	10	5	:	:	PUNCT
ejpam-6750	10	6	92d30	92d30	NUM
ejpam-6750	10	7	,	,	PUNCT
ejpam-6750	10	8	34d23	34d23	NUM
ejpam-6750	10	9	,	,	PUNCT
ejpam-6750	10	10	37n25	37n25	NUM
ejpam-6750	10	11	key	key	ADJ
ejpam-6750	10	12	words	word	NOUN
ejpam-6750	10	13	and	and	CCONJ
ejpam-6750	10	14	phrases	phrase	NOUN
ejpam-6750	10	15	:	:	PUNCT
ejpam-6750	10	16	monkeypox	monkeypox	NOUN
ejpam-6750	10	17	,	,	PUNCT
ejpam-6750	10	18	stability	stability	NOUN
ejpam-6750	10	19	analysis	analysis	NOUN
ejpam-6750	10	20	,	,	PUNCT
ejpam-6750	10	21	quarantine	quarantine	NOUN
ejpam-6750	10	22	,	,	PUNCT
ejpam-6750	10	23	surface	surface	NOUN
ejpam-6750	10	24	contamination	contamination	NOUN
ejpam-6750	10	25	,	,	PUNCT
ejpam-6750	10	26	seiqr	seiqr	ADJ
ejpam-6750	10	27	-	-	PUNCT
ejpam-6750	10	28	c	c	NOUN
ejpam-6750	10	29	model	model	NOUN
ejpam-6750	10	30	,	,	PUNCT
ejpam-6750	10	31	basic	basic	ADJ
ejpam-6750	10	32	reproduction	reproduction	NOUN
ejpam-6750	10	33	number	number	NOUN
ejpam-6750	10	34	1	1	NUM
ejpam-6750	10	35	.	.	PUNCT
ejpam-6750	10	36	introduction	introduction	NOUN
ejpam-6750	10	37	monkeypox	monkeypox	PROPN
ejpam-6750	10	38	(	(	PUNCT
ejpam-6750	10	39	mpox	mpox	NOUN
ejpam-6750	10	40	)	)	PUNCT
ejpam-6750	10	41	is	be	AUX
ejpam-6750	10	42	a	a	DET
ejpam-6750	10	43	viral	viral	ADJ
ejpam-6750	10	44	zoonotic	zoonotic	ADJ
ejpam-6750	10	45	disease	disease	NOUN
ejpam-6750	10	46	caused	cause	VERB
ejpam-6750	10	47	by	by	ADP
ejpam-6750	10	48	the	the	DET
ejpam-6750	10	49	monkeypox	monkeypox	PROPN
ejpam-6750	10	50	virus	virus	NOUN
ejpam-6750	10	51	(	(	PUNCT
ejpam-6750	10	52	mpxv	mpxv	PROPN
ejpam-6750	10	53	)	)	PUNCT
ejpam-6750	10	54	,	,	PUNCT
ejpam-6750	10	55	a	a	DET
ejpam-6750	10	56	double	double	ADJ
ejpam-6750	10	57	-	-	PUNCT
ejpam-6750	10	58	stranded	strand	VERB
ejpam-6750	10	59	dna	dna	PROPN
ejpam-6750	10	60	virus	virus	NOUN
ejpam-6750	10	61	belonging	belong	VERB
ejpam-6750	10	62	to	to	ADP
ejpam-6750	10	63	the	the	DET
ejpam-6750	10	64	orthopoxvirus	orthopoxvirus	NOUN
ejpam-6750	10	65	genus	genus	NOUN
ejpam-6750	10	66	of	of	ADP
ejpam-6750	10	67	the	the	DET
ejpam-6750	10	68	poxviridae	poxviridae	PROPN
ejpam-6750	10	69	family	family	NOUN
ejpam-6750	11	1	[	[	X
ejpam-6750	11	2	1	1	NUM
ejpam-6750	11	3	]	]	PUNCT
ejpam-6750	11	4	.	.	PUNCT
ejpam-6750	12	1	the	the	DET
ejpam-6750	12	2	clinical	clinical	ADJ
ejpam-6750	12	3	presentation	presentation	NOUN
ejpam-6750	12	4	of	of	ADP
ejpam-6750	12	5	mpox	mpox	NOUN
ejpam-6750	12	6	closely	closely	ADV
ejpam-6750	12	7	resembles	resemble	VERB
ejpam-6750	12	8	that	that	PRON
ejpam-6750	12	9	of	of	ADP
ejpam-6750	12	10	smallpox	smallpox	NOUN
ejpam-6750	12	11	,	,	PUNCT
ejpam-6750	12	12	with	with	ADP
ejpam-6750	12	13	symptoms	symptom	NOUN
ejpam-6750	12	14	including	include	VERB
ejpam-6750	12	15	fever	fever	NOUN
ejpam-6750	12	16	,	,	PUNCT
ejpam-6750	12	17	lymphadenopathy	lymphadenopathy	ADJ
ejpam-6750	12	18	,	,	PUNCT
ejpam-6750	12	19	and	and	CCONJ
ejpam-6750	12	20	a	a	DET
ejpam-6750	12	21	vesiculopustular	vesiculopustular	ADJ
ejpam-6750	12	22	rash	rash	NOUN
ejpam-6750	12	23	,	,	PUNCT
ejpam-6750	12	24	though	though	SCONJ
ejpam-6750	12	25	the	the	DET
ejpam-6750	12	26	disease	disease	NOUN
ejpam-6750	12	27	is	be	AUX
ejpam-6750	12	28	generally	generally	ADV
ejpam-6750	12	29	less	less	ADV
ejpam-6750	12	30	severe	severe	ADJ
ejpam-6750	12	31	than	than	ADP
ejpam-6750	12	32	smallpox	smallpox	NOUN
ejpam-6750	12	33	in	in	ADP
ejpam-6750	12	34	terms	term	NOUN
ejpam-6750	12	35	of	of	ADP
ejpam-6750	12	36	case	case	NOUN
ejpam-6750	12	37	fatality	fatality	NOUN
ejpam-6750	12	38	rates	rate	NOUN
ejpam-6750	12	39	[	[	X
ejpam-6750	12	40	2	2	NUM
ejpam-6750	12	41	]	]	PUNCT
ejpam-6750	12	42	.	.	PUNCT
ejpam-6750	13	1	since	since	SCONJ
ejpam-6750	13	2	the	the	DET
ejpam-6750	13	3	first	first	ADJ
ejpam-6750	13	4	human	human	ADJ
ejpam-6750	13	5	case	case	NOUN
ejpam-6750	13	6	was	be	AUX
ejpam-6750	13	7	identified	identify	VERB
ejpam-6750	13	8	in	in	ADP
ejpam-6750	13	9	1970	1970	NUM
ejpam-6750	13	10	in	in	ADP
ejpam-6750	13	11	the	the	DET
ejpam-6750	13	12	democratic	democratic	PROPN
ejpam-6750	13	13	republic	republic	PROPN
ejpam-6750	13	14	of	of	ADP
ejpam-6750	13	15	congo	congo	PROPN
ejpam-6750	13	16	,	,	PUNCT
ejpam-6750	13	17	mpox	mpox	NOUN
ejpam-6750	13	18	has	have	AUX
ejpam-6750	13	19	remained	remain	VERB
ejpam-6750	13	20	endemic	endemic	ADJ
ejpam-6750	13	21	in	in	ADP
ejpam-6750	13	22	central	central	ADJ
ejpam-6750	13	23	and	and	CCONJ
ejpam-6750	13	24	west	west	ADJ
ejpam-6750	13	25	african	african	ADJ
ejpam-6750	13	26	countries	country	NOUN
ejpam-6750	13	27	,	,	PUNCT
ejpam-6750	13	28	with	with	ADP
ejpam-6750	13	29	sporadic	sporadic	ADJ
ejpam-6750	13	30	outbreaks	outbreak	NOUN
ejpam-6750	13	31	occurring	occur	VERB
ejpam-6750	13	32	primarily	primarily	ADV
ejpam-6750	13	33	through	through	ADP
ejpam-6750	13	34	zoonotic	zoonotic	ADJ
ejpam-6750	13	35	spillover	spillover	NOUN
ejpam-6750	13	36	events	event	NOUN
ejpam-6750	13	37	[	[	X
ejpam-6750	13	38	1	1	NUM
ejpam-6750	13	39	,	,	PUNCT
ejpam-6750	13	40	3	3	NUM
ejpam-6750	13	41	]	]	PUNCT
ejpam-6750	13	42	.	.	PUNCT
ejpam-6750	14	1	however	however	ADV
ejpam-6750	14	2	,	,	PUNCT
ejpam-6750	14	3	the	the	DET
ejpam-6750	14	4	2022	2022	NUM
ejpam-6750	14	5	outbreak	outbreak	NOUN
ejpam-6750	14	6	doi	doi	PROPN
ejpam-6750	14	7	:	:	PUNCT
ejpam-6750	14	8	https://doi.org/10.29020/nybg.ejpam.v18i4.6750	https://doi.org/10.29020/nybg.ejpam.v18i4.6750	NOUN
ejpam-6750	14	9	email	email	NOUN
ejpam-6750	14	10	address	address	NOUN
ejpam-6750	14	11	:	:	PUNCT
ejpam-6750	15	1	julito.puebla@csucc.edu.ph	julito.puebla@csucc.edu.ph	PROPN
ejpam-6750	15	2	(	(	PUNCT
ejpam-6750	15	3	j.	j.	PROPN
ejpam-6750	15	4	a.	a.	PROPN
ejpam-6750	15	5	puebla	puebla	PROPN
ejpam-6750	15	6	jr	jr	PROPN
ejpam-6750	15	7	.	.	PUNCT
ejpam-6750	15	8	)	)	PUNCT
ejpam-6750	15	9	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6750	16	1	1	1	NUM
ejpam-6750	16	2	copyright	copyright	NOUN
ejpam-6750	16	3	:	:	PUNCT
ejpam-6750	16	4	©	©	PROPN
ejpam-6750	16	5	2025	2025	NUM
ejpam-6750	16	6	the	the	DET
ejpam-6750	16	7	author(s	author(s	NOUN
ejpam-6750	16	8	)	)	PUNCT
ejpam-6750	16	9	.	.	PUNCT
ejpam-6750	17	1	(	(	PUNCT
ejpam-6750	17	2	cc	cc	NOUN
ejpam-6750	17	3	by	by	ADP
ejpam-6750	17	4	-	-	PUNCT
ejpam-6750	17	5	nc	nc	PROPN
ejpam-6750	17	6	4.0	4.0	NUM
ejpam-6750	17	7	)	)	PUNCT
ejpam-6750	17	8	j.	j.	PROPN
ejpam-6750	17	9	a.	a.	PROPN
ejpam-6750	17	10	puebla	puebla	PROPN
ejpam-6750	17	11	jr	jr	PROPN
ejpam-6750	17	12	.	.	PROPN
ejpam-6750	17	13	/	/	SYM
ejpam-6750	17	14	eur	eur	PROPN
ejpam-6750	17	15	.	.	PUNCT
ejpam-6750	18	1	j.	j.	PROPN
ejpam-6750	18	2	pure	pure	PROPN
ejpam-6750	18	3	appl	appl	PROPN
ejpam-6750	18	4	.	.	PROPN
ejpam-6750	18	5	math	math	PROPN
ejpam-6750	18	6	,	,	PUNCT
ejpam-6750	18	7	18	18	NUM
ejpam-6750	18	8	(	(	PUNCT
ejpam-6750	18	9	4	4	NUM
ejpam-6750	18	10	)	)	PUNCT
ejpam-6750	18	11	(	(	PUNCT
ejpam-6750	18	12	2025	2025	NUM
ejpam-6750	18	13	)	)	PUNCT
ejpam-6750	18	14	,	,	PUNCT
ejpam-6750	18	15	6750	6750	NUM
ejpam-6750	18	16	2	2	NUM
ejpam-6750	18	17	of	of	ADP
ejpam-6750	18	18	19	19	NUM
ejpam-6750	18	19	marked	mark	VERB
ejpam-6750	18	20	a	a	DET
ejpam-6750	18	21	pivotal	pivotal	ADJ
ejpam-6750	18	22	moment	moment	NOUN
ejpam-6750	18	23	in	in	ADP
ejpam-6750	18	24	the	the	DET
ejpam-6750	18	25	epidemiology	epidemiology	NOUN
ejpam-6750	18	26	of	of	ADP
ejpam-6750	18	27	mpox	mpox	NOUN
ejpam-6750	18	28	,	,	PUNCT
ejpam-6750	18	29	with	with	ADP
ejpam-6750	18	30	sustained	sustained	ADJ
ejpam-6750	18	31	human	human	NOUN
ejpam-6750	18	32	-	-	PUNCT
ejpam-6750	18	33	to	to	ADP
ejpam-6750	18	34	-	-	PUNCT
ejpam-6750	18	35	human	human	ADJ
ejpam-6750	18	36	transmission	transmission	NOUN
ejpam-6750	18	37	reported	report	VERB
ejpam-6750	18	38	in	in	ADP
ejpam-6750	18	39	over	over	ADP
ejpam-6750	18	40	100	100	NUM
ejpam-6750	18	41	countries	country	NOUN
ejpam-6750	18	42	,	,	PUNCT
ejpam-6750	18	43	prompting	prompt	VERB
ejpam-6750	18	44	the	the	DET
ejpam-6750	18	45	world	world	NOUN
ejpam-6750	18	46	health	health	NOUN
ejpam-6750	18	47	organization	organization	NOUN
ejpam-6750	18	48	(	(	PUNCT
ejpam-6750	18	49	who	who	PRON
ejpam-6750	18	50	)	)	PUNCT
ejpam-6750	18	51	to	to	PART
ejpam-6750	18	52	declare	declare	VERB
ejpam-6750	18	53	the	the	DET
ejpam-6750	18	54	outbreak	outbreak	NOUN
ejpam-6750	18	55	a	a	DET
ejpam-6750	18	56	public	public	ADJ
ejpam-6750	18	57	health	health	NOUN
ejpam-6750	18	58	emergency	emergency	NOUN
ejpam-6750	18	59	of	of	ADP
ejpam-6750	18	60	international	international	ADJ
ejpam-6750	18	61	concern	concern	NOUN
ejpam-6750	18	62	[	[	X
ejpam-6750	18	63	4	4	NUM
ejpam-6750	18	64	]	]	PUNCT
ejpam-6750	18	65	.	.	PUNCT
ejpam-6750	19	1	transmission	transmission	NOUN
ejpam-6750	19	2	of	of	ADP
ejpam-6750	19	3	mpox	mpox	NOUN
ejpam-6750	19	4	occurs	occur	VERB
ejpam-6750	19	5	through	through	ADP
ejpam-6750	19	6	three	three	NUM
ejpam-6750	19	7	primary	primary	ADJ
ejpam-6750	19	8	routes	route	NOUN
ejpam-6750	19	9	:	:	PUNCT
ejpam-6750	19	10	animal	animal	NOUN
ejpam-6750	19	11	-	-	PUNCT
ejpam-6750	19	12	to	to	ADP
ejpam-6750	19	13	-	-	PUNCT
ejpam-6750	19	14	human	human	ADJ
ejpam-6750	19	15	(	(	PUNCT
ejpam-6750	19	16	zoonotic	zoonotic	PROPN
ejpam-6750	19	17	)	)	PUNCT
ejpam-6750	19	18	,	,	PUNCT
ejpam-6750	19	19	human	human	NOUN
ejpam-6750	19	20	-	-	PUNCT
ejpam-6750	19	21	to	to	ADP
ejpam-6750	19	22	-	-	PUNCT
ejpam-6750	19	23	human	human	ADJ
ejpam-6750	19	24	(	(	PUNCT
ejpam-6750	19	25	direct	direct	ADJ
ejpam-6750	19	26	)	)	PUNCT
ejpam-6750	19	27	,	,	PUNCT
ejpam-6750	19	28	and	and	CCONJ
ejpam-6750	19	29	indirect	indirect	ADJ
ejpam-6750	19	30	environmental	environmental	ADJ
ejpam-6750	19	31	transmission	transmission	NOUN
ejpam-6750	19	32	[	[	X
ejpam-6750	19	33	1	1	NUM
ejpam-6750	19	34	,	,	PUNCT
ejpam-6750	19	35	5	5	NUM
ejpam-6750	19	36	]	]	PUNCT
ejpam-6750	19	37	.	.	PUNCT
ejpam-6750	20	1	zoonotic	zoonotic	ADJ
ejpam-6750	20	2	transmission	transmission	NOUN
ejpam-6750	20	3	typically	typically	ADV
ejpam-6750	20	4	occurs	occur	VERB
ejpam-6750	20	5	through	through	ADP
ejpam-6750	20	6	direct	direct	ADJ
ejpam-6750	20	7	contact	contact	NOUN
ejpam-6750	20	8	with	with	ADP
ejpam-6750	20	9	infected	infected	ADJ
ejpam-6750	20	10	animals	animal	NOUN
ejpam-6750	20	11	or	or	CCONJ
ejpam-6750	20	12	their	their	PRON
ejpam-6750	20	13	bodily	bodily	ADJ
ejpam-6750	20	14	fluids	fluid	NOUN
ejpam-6750	20	15	,	,	PUNCT
ejpam-6750	20	16	particularly	particularly	ADV
ejpam-6750	20	17	from	from	ADP
ejpam-6750	20	18	rodents	rodent	NOUN
ejpam-6750	20	19	and	and	CCONJ
ejpam-6750	20	20	non	non	ADJ
ejpam-6750	20	21	-	-	ADJ
ejpam-6750	20	22	human	human	ADJ
ejpam-6750	20	23	primates	primate	NOUN
ejpam-6750	20	24	,	,	PUNCT
ejpam-6750	20	25	or	or	CCONJ
ejpam-6750	20	26	through	through	ADP
ejpam-6750	20	27	consumption	consumption	NOUN
ejpam-6750	20	28	of	of	ADP
ejpam-6750	20	29	undercooked	undercooked	ADJ
ejpam-6750	20	30	bushmeat	bushmeat	NOUN
ejpam-6750	21	1	[	[	X
ejpam-6750	21	2	6	6	NUM
ejpam-6750	21	3	]	]	PUNCT
ejpam-6750	21	4	.	.	PUNCT
ejpam-6750	22	1	human	human	NOUN
ejpam-6750	22	2	-	-	PUNCT
ejpam-6750	22	3	to	to	ADP
ejpam-6750	22	4	-	-	PUNCT
ejpam-6750	22	5	human	human	ADJ
ejpam-6750	22	6	transmission	transmission	NOUN
ejpam-6750	22	7	results	result	NOUN
ejpam-6750	22	8	from	from	ADP
ejpam-6750	22	9	close	close	ADJ
ejpam-6750	22	10	contact	contact	NOUN
ejpam-6750	22	11	with	with	ADP
ejpam-6750	22	12	lesions	lesion	NOUN
ejpam-6750	22	13	,	,	PUNCT
ejpam-6750	22	14	body	body	NOUN
ejpam-6750	22	15	fluids	fluid	NOUN
ejpam-6750	22	16	,	,	PUNCT
ejpam-6750	22	17	or	or	CCONJ
ejpam-6750	22	18	respiratory	respiratory	ADJ
ejpam-6750	22	19	droplets	droplet	NOUN
ejpam-6750	22	20	from	from	ADP
ejpam-6750	22	21	infected	infected	ADJ
ejpam-6750	22	22	individuals	individual	NOUN
ejpam-6750	22	23	[	[	X
ejpam-6750	22	24	7	7	NUM
ejpam-6750	22	25	]	]	PUNCT
ejpam-6750	22	26	.	.	PUNCT
ejpam-6750	23	1	more	more	ADV
ejpam-6750	23	2	recently	recently	ADV
ejpam-6750	23	3	,	,	PUNCT
ejpam-6750	23	4	environmental	environmental	ADJ
ejpam-6750	23	5	transmission	transmission	NOUN
ejpam-6750	23	6	has	have	AUX
ejpam-6750	23	7	been	be	AUX
ejpam-6750	23	8	recognized	recognize	VERB
ejpam-6750	23	9	as	as	ADP
ejpam-6750	23	10	an	an	DET
ejpam-6750	23	11	important	important	ADJ
ejpam-6750	23	12	secondary	secondary	ADJ
ejpam-6750	23	13	route	route	NOUN
ejpam-6750	23	14	,	,	PUNCT
ejpam-6750	23	15	as	as	SCONJ
ejpam-6750	23	16	mpxv	mpxv	NOUN
ejpam-6750	23	17	remains	remain	VERB
ejpam-6750	23	18	viable	viable	ADJ
ejpam-6750	23	19	on	on	ADP
ejpam-6750	23	20	surfaces	surface	NOUN
ejpam-6750	23	21	for	for	ADP
ejpam-6750	23	22	several	several	ADJ
ejpam-6750	23	23	days	day	NOUN
ejpam-6750	23	24	after	after	ADP
ejpam-6750	23	25	patient	patient	ADJ
ejpam-6750	23	26	contact	contact	NOUN
ejpam-6750	23	27	,	,	PUNCT
ejpam-6750	23	28	particularly	particularly	ADV
ejpam-6750	23	29	on	on	ADP
ejpam-6750	23	30	bedding	bed	VERB
ejpam-6750	23	31	,	,	PUNCT
ejpam-6750	23	32	clothing	clothing	NOUN
ejpam-6750	23	33	,	,	PUNCT
ejpam-6750	23	34	and	and	CCONJ
ejpam-6750	23	35	high	high	ADJ
ejpam-6750	23	36	-	-	PUNCT
ejpam-6750	23	37	touch	touch	NOUN
ejpam-6750	23	38	objects	object	NOUN
ejpam-6750	23	39	in	in	ADP
ejpam-6750	23	40	both	both	DET
ejpam-6750	23	41	community	community	NOUN
ejpam-6750	23	42	and	and	CCONJ
ejpam-6750	23	43	healthcare	healthcare	NOUN
ejpam-6750	23	44	settings	setting	NOUN
ejpam-6750	23	45	[	[	X
ejpam-6750	23	46	8	8	NUM
ejpam-6750	23	47	,	,	PUNCT
ejpam-6750	23	48	9	9	NUM
ejpam-6750	23	49	]	]	PUNCT
ejpam-6750	23	50	.	.	PUNCT
ejpam-6750	24	1	studies	study	NOUN
ejpam-6750	24	2	have	have	AUX
ejpam-6750	24	3	detected	detect	VERB
ejpam-6750	24	4	viable	viable	ADJ
ejpam-6750	24	5	mpxv	mpxv	NOUN
ejpam-6750	24	6	dna	dna	NOUN
ejpam-6750	24	7	on	on	ADP
ejpam-6750	24	8	household	household	NOUN
ejpam-6750	24	9	and	and	CCONJ
ejpam-6750	24	10	hospital	hospital	NOUN
ejpam-6750	24	11	surfaces	surface	NOUN
ejpam-6750	24	12	up	up	ADP
ejpam-6750	24	13	to	to	PART
ejpam-6750	24	14	15	15	NUM
ejpam-6750	24	15	days	day	NOUN
ejpam-6750	24	16	after	after	ADP
ejpam-6750	24	17	contamination	contamination	NOUN
ejpam-6750	24	18	,	,	PUNCT
ejpam-6750	24	19	highlighting	highlight	VERB
ejpam-6750	24	20	the	the	DET
ejpam-6750	24	21	challenges	challenge	NOUN
ejpam-6750	24	22	of	of	ADP
ejpam-6750	24	23	infection	infection	NOUN
ejpam-6750	24	24	prevention	prevention	NOUN
ejpam-6750	24	25	in	in	ADP
ejpam-6750	24	26	densely	densely	ADV
ejpam-6750	24	27	populated	populated	ADJ
ejpam-6750	24	28	or	or	CCONJ
ejpam-6750	24	29	poorly	poorly	ADV
ejpam-6750	24	30	sanitized	sanitize	VERB
ejpam-6750	24	31	environments	environment	NOUN
ejpam-6750	24	32	[	[	X
ejpam-6750	24	33	9	9	NUM
ejpam-6750	24	34	]	]	PUNCT
ejpam-6750	24	35	.	.	PUNCT
ejpam-6750	25	1	although	although	SCONJ
ejpam-6750	25	2	vaccines	vaccine	NOUN
ejpam-6750	25	3	developed	develop	VERB
ejpam-6750	25	4	for	for	ADP
ejpam-6750	25	5	smallpox	smallpox	NOUN
ejpam-6750	25	6	,	,	PUNCT
ejpam-6750	25	7	such	such	ADJ
ejpam-6750	25	8	as	as	ADP
ejpam-6750	25	9	the	the	DET
ejpam-6750	25	10	modified	modify	VERB
ejpam-6750	25	11	vaccinia	vaccinia	NOUN
ejpam-6750	25	12	ankara	ankara	PROPN
ejpam-6750	25	13	(	(	PUNCT
ejpam-6750	25	14	mva	mva	NOUN
ejpam-6750	25	15	-	-	PUNCT
ejpam-6750	25	16	bn	bn	NOUN
ejpam-6750	25	17	)	)	PUNCT
ejpam-6750	25	18	,	,	PUNCT
ejpam-6750	25	19	have	have	AUX
ejpam-6750	25	20	demonstrated	demonstrate	VERB
ejpam-6750	25	21	high	high	ADJ
ejpam-6750	25	22	protective	protective	ADJ
ejpam-6750	25	23	efficacy	efficacy	NOUN
ejpam-6750	25	24	against	against	ADP
ejpam-6750	25	25	mpox	mpox	NOUN
ejpam-6750	25	26	,	,	PUNCT
ejpam-6750	25	27	immunization	immunization	NOUN
ejpam-6750	25	28	campaigns	campaign	NOUN
ejpam-6750	25	29	remain	remain	AUX
ejpam-6750	25	30	largely	largely	ADV
ejpam-6750	25	31	confined	confine	VERB
ejpam-6750	25	32	to	to	ADP
ejpam-6750	25	33	high	high	ADJ
ejpam-6750	25	34	-	-	PUNCT
ejpam-6750	25	35	income	income	NOUN
ejpam-6750	25	36	countries	country	NOUN
ejpam-6750	25	37	and	and	CCONJ
ejpam-6750	25	38	target	target	VERB
ejpam-6750	25	39	mainly	mainly	ADV
ejpam-6750	25	40	high	high	ADJ
ejpam-6750	25	41	-	-	PUNCT
ejpam-6750	25	42	risk	risk	NOUN
ejpam-6750	25	43	populations	population	NOUN
ejpam-6750	25	44	[	[	X
ejpam-6750	25	45	10	10	NUM
ejpam-6750	25	46	]	]	PUNCT
ejpam-6750	25	47	.	.	PUNCT
ejpam-6750	26	1	in	in	ADP
ejpam-6750	26	2	contrast	contrast	NOUN
ejpam-6750	26	3	,	,	PUNCT
ejpam-6750	26	4	many	many	ADJ
ejpam-6750	26	5	low	low	ADJ
ejpam-6750	26	6	and	and	CCONJ
ejpam-6750	26	7	middle	middle	ADJ
ejpam-6750	26	8	-	-	PUNCT
ejpam-6750	26	9	income	income	NOUN
ejpam-6750	26	10	countries	country	NOUN
ejpam-6750	26	11	,	,	PUNCT
ejpam-6750	26	12	including	include	VERB
ejpam-6750	26	13	the	the	DET
ejpam-6750	26	14	philippines	philippine	NOUN
ejpam-6750	26	15	which	which	PRON
ejpam-6750	26	16	reported	report	VERB
ejpam-6750	26	17	confirmed	confirm	VERB
ejpam-6750	26	18	mpox	mpox	NOUN
ejpam-6750	26	19	cases	case	NOUN
ejpam-6750	26	20	beginning	begin	VERB
ejpam-6750	26	21	in	in	ADP
ejpam-6750	26	22	2022	2022	NUM
ejpam-6750	26	23	do	do	AUX
ejpam-6750	26	24	not	not	PART
ejpam-6750	26	25	have	have	VERB
ejpam-6750	26	26	routine	routine	ADJ
ejpam-6750	26	27	mpox	mpox	NOUN
ejpam-6750	26	28	vaccination	vaccination	NOUN
ejpam-6750	26	29	programs	program	NOUN
ejpam-6750	26	30	in	in	ADP
ejpam-6750	26	31	place	place	NOUN
ejpam-6750	26	32	[	[	X
ejpam-6750	26	33	11	11	NUM
ejpam-6750	26	34	,	,	PUNCT
ejpam-6750	26	35	12	12	NUM
ejpam-6750	26	36	]	]	PUNCT
ejpam-6750	26	37	.	.	PUNCT
ejpam-6750	27	1	in	in	ADP
ejpam-6750	27	2	these	these	DET
ejpam-6750	27	3	regions	region	NOUN
ejpam-6750	27	4	,	,	PUNCT
ejpam-6750	27	5	non	non	ADJ
ejpam-6750	27	6	-	-	ADJ
ejpam-6750	27	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6750	27	8	interventions	intervention	NOUN
ejpam-6750	27	9	(	(	PUNCT
ejpam-6750	27	10	npis	npis	PROPN
ejpam-6750	27	11	)	)	PUNCT
ejpam-6750	27	12	,	,	PUNCT
ejpam-6750	27	13	including	include	VERB
ejpam-6750	27	14	case	case	NOUN
ejpam-6750	27	15	isolation	isolation	NOUN
ejpam-6750	27	16	,	,	PUNCT
ejpam-6750	27	17	quarantine	quarantine	NOUN
ejpam-6750	27	18	,	,	PUNCT
ejpam-6750	27	19	and	and	CCONJ
ejpam-6750	27	20	environmental	environmental	ADJ
ejpam-6750	27	21	sanitation	sanitation	NOUN
ejpam-6750	27	22	,	,	PUNCT
ejpam-6750	27	23	remain	remain	VERB
ejpam-6750	27	24	the	the	DET
ejpam-6750	27	25	primary	primary	ADJ
ejpam-6750	27	26	tools	tool	NOUN
ejpam-6750	27	27	for	for	ADP
ejpam-6750	27	28	outbreak	outbreak	NOUN
ejpam-6750	27	29	control	control	NOUN
ejpam-6750	28	1	[	[	X
ejpam-6750	28	2	13	13	NUM
ejpam-6750	28	3	,	,	PUNCT
ejpam-6750	28	4	14	14	NUM
ejpam-6750	28	5	]	]	PUNCT
ejpam-6750	28	6	.	.	PUNCT
ejpam-6750	29	1	recent	recent	ADJ
ejpam-6750	29	2	modeling	modeling	NOUN
ejpam-6750	29	3	studies	study	NOUN
ejpam-6750	29	4	have	have	AUX
ejpam-6750	29	5	underscored	underscore	VERB
ejpam-6750	29	6	the	the	DET
ejpam-6750	29	7	importance	importance	NOUN
ejpam-6750	29	8	of	of	ADP
ejpam-6750	29	9	npis	npis	NOUN
ejpam-6750	29	10	in	in	ADP
ejpam-6750	29	11	mitigating	mitigate	VERB
ejpam-6750	29	12	mpox	mpox	NOUN
ejpam-6750	29	13	transmission	transmission	NOUN
ejpam-6750	29	14	where	where	SCONJ
ejpam-6750	29	15	vaccine	vaccine	NOUN
ejpam-6750	29	16	coverage	coverage	NOUN
ejpam-6750	29	17	is	be	AUX
ejpam-6750	29	18	limited	limited	ADJ
ejpam-6750	29	19	,	,	PUNCT
ejpam-6750	29	20	particularly	particularly	ADV
ejpam-6750	29	21	in	in	ADP
ejpam-6750	29	22	preventing	prevent	VERB
ejpam-6750	29	23	sustained	sustain	VERB
ejpam-6750	29	24	human	human	NOUN
ejpam-6750	29	25	-	-	PUNCT
ejpam-6750	29	26	to	to	ADP
ejpam-6750	29	27	-	-	PUNCT
ejpam-6750	29	28	human	human	ADJ
ejpam-6750	29	29	and	and	CCONJ
ejpam-6750	29	30	environmental	environmental	ADJ
ejpam-6750	29	31	transmission	transmission	NOUN
ejpam-6750	29	32	cycles	cycle	NOUN
ejpam-6750	29	33	[	[	X
ejpam-6750	29	34	15–18	15–18	NUM
ejpam-6750	29	35	]	]	X
ejpam-6750	29	36	.	.	PUNCT
ejpam-6750	30	1	several	several	ADJ
ejpam-6750	30	2	recent	recent	ADJ
ejpam-6750	30	3	studies	study	NOUN
ejpam-6750	30	4	have	have	AUX
ejpam-6750	30	5	incorporated	incorporate	VERB
ejpam-6750	30	6	various	various	ADJ
ejpam-6750	30	7	strategies	strategy	NOUN
ejpam-6750	30	8	into	into	ADP
ejpam-6750	30	9	the	the	DET
ejpam-6750	30	10	mathematical	mathematical	ADJ
ejpam-6750	30	11	modeling	modeling	NOUN
ejpam-6750	30	12	of	of	ADP
ejpam-6750	30	13	monkeypox	monkeypox	NOUN
ejpam-6750	30	14	transmission	transmission	NOUN
ejpam-6750	30	15	dynamics	dynamic	NOUN
ejpam-6750	30	16	.	.	PUNCT
ejpam-6750	31	1	for	for	ADP
ejpam-6750	31	2	instance	instance	NOUN
ejpam-6750	31	3	,	,	PUNCT
ejpam-6750	31	4	bolaji	bolaji	PROPN
ejpam-6750	31	5	et	et	NOUN
ejpam-6750	31	6	al	al	PROPN
ejpam-6750	31	7	.	.	PUNCT
ejpam-6750	32	1	[	[	X
ejpam-6750	32	2	15	15	NUM
ejpam-6750	32	3	]	]	PUNCT
ejpam-6750	32	4	developed	develop	VERB
ejpam-6750	32	5	a	a	DET
ejpam-6750	32	6	compartmental	compartmental	ADJ
ejpam-6750	32	7	model	model	NOUN
ejpam-6750	32	8	that	that	PRON
ejpam-6750	32	9	integrates	integrate	VERB
ejpam-6750	32	10	both	both	CCONJ
ejpam-6750	32	11	quarantine	quarantine	NOUN
ejpam-6750	32	12	and	and	CCONJ
ejpam-6750	32	13	vaccination	vaccination	NOUN
ejpam-6750	32	14	strategies	strategy	NOUN
ejpam-6750	32	15	,	,	PUNCT
ejpam-6750	32	16	providing	provide	VERB
ejpam-6750	32	17	insights	insight	NOUN
ejpam-6750	32	18	into	into	ADP
ejpam-6750	32	19	how	how	SCONJ
ejpam-6750	32	20	combined	combined	ADJ
ejpam-6750	32	21	pharmaceutical	pharmaceutical	NOUN
ejpam-6750	32	22	and	and	CCONJ
ejpam-6750	32	23	non	non	ADJ
ejpam-6750	32	24	-	-	ADJ
ejpam-6750	32	25	pharmaceutical	pharmaceutical	ADJ
ejpam-6750	32	26	interventions	intervention	NOUN
ejpam-6750	32	27	can	can	AUX
ejpam-6750	32	28	reduce	reduce	VERB
ejpam-6750	32	29	the	the	DET
ejpam-6750	32	30	basic	basic	ADJ
ejpam-6750	32	31	reproduction	reproduction	NOUN
ejpam-6750	32	32	number	number	NOUN
ejpam-6750	32	33	.	.	PUNCT
ejpam-6750	33	1	similarly	similarly	ADV
ejpam-6750	33	2	,	,	PUNCT
ejpam-6750	33	3	hassan	hassan	PROPN
ejpam-6750	33	4	et	et	PROPN
ejpam-6750	33	5	al	al	PROPN
ejpam-6750	33	6	.	.	PUNCT
ejpam-6750	34	1	[	[	X
ejpam-6750	34	2	16	16	NUM
ejpam-6750	34	3	]	]	PUNCT
ejpam-6750	34	4	formulated	formulate	VERB
ejpam-6750	34	5	a	a	DET
ejpam-6750	34	6	model	model	NOUN
ejpam-6750	34	7	emphasizing	emphasize	VERB
ejpam-6750	34	8	the	the	DET
ejpam-6750	34	9	role	role	NOUN
ejpam-6750	34	10	of	of	ADP
ejpam-6750	34	11	environmental	environmental	ADJ
ejpam-6750	34	12	contamination	contamination	NOUN
ejpam-6750	34	13	by	by	ADP
ejpam-6750	34	14	considering	consider	VERB
ejpam-6750	34	15	the	the	DET
ejpam-6750	34	16	indirect	indirect	ADJ
ejpam-6750	34	17	transmission	transmission	NOUN
ejpam-6750	34	18	of	of	ADP
ejpam-6750	34	19	monkeypox	monkeypox	NOUN
ejpam-6750	34	20	via	via	ADP
ejpam-6750	34	21	contaminated	contaminate	VERB
ejpam-6750	34	22	surfaces	surface	NOUN
ejpam-6750	34	23	,	,	PUNCT
ejpam-6750	34	24	with	with	ADP
ejpam-6750	34	25	optimal	optimal	ADJ
ejpam-6750	34	26	control	control	NOUN
ejpam-6750	34	27	analysis	analysis	NOUN
ejpam-6750	34	28	for	for	ADP
ejpam-6750	34	29	sanitation	sanitation	NOUN
ejpam-6750	34	30	measures	measure	NOUN
ejpam-6750	34	31	.	.	PUNCT
ejpam-6750	35	1	while	while	SCONJ
ejpam-6750	35	2	these	these	DET
ejpam-6750	35	3	models	model	NOUN
ejpam-6750	35	4	successfully	successfully	ADV
ejpam-6750	35	5	captured	capture	VERB
ejpam-6750	35	6	critical	critical	ADJ
ejpam-6750	35	7	facets	facet	NOUN
ejpam-6750	35	8	of	of	ADP
ejpam-6750	35	9	transmission	transmission	NOUN
ejpam-6750	35	10	,	,	PUNCT
ejpam-6750	35	11	they	they	PRON
ejpam-6750	35	12	either	either	CCONJ
ejpam-6750	35	13	focused	focus	VERB
ejpam-6750	35	14	on	on	ADP
ejpam-6750	35	15	vaccination	vaccination	NOUN
ejpam-6750	35	16	-	-	PUNCT
ejpam-6750	35	17	centric	centric	ADJ
ejpam-6750	35	18	approaches	approach	NOUN
ejpam-6750	35	19	with	with	ADP
ejpam-6750	35	20	limited	limited	ADJ
ejpam-6750	35	21	environmental	environmental	ADJ
ejpam-6750	35	22	dynamics	dynamic	NOUN
ejpam-6750	35	23	[	[	X
ejpam-6750	35	24	15	15	NUM
ejpam-6750	35	25	]	]	PUNCT
ejpam-6750	35	26	,	,	PUNCT
ejpam-6750	35	27	or	or	CCONJ
ejpam-6750	35	28	addressed	address	VERB
ejpam-6750	35	29	contaminated	contaminate	VERB
ejpam-6750	35	30	surfaces	surface	NOUN
ejpam-6750	35	31	without	without	ADP
ejpam-6750	35	32	integrating	integrate	VERB
ejpam-6750	35	33	isolation	isolation	NOUN
ejpam-6750	35	34	or	or	CCONJ
ejpam-6750	35	35	quarantine	quarantine	NOUN
ejpam-6750	35	36	protocols	protocol	NOUN
ejpam-6750	35	37	[	[	X
ejpam-6750	35	38	16	16	NUM
ejpam-6750	35	39	]	]	PUNCT
ejpam-6750	35	40	.	.	PUNCT
ejpam-6750	36	1	moreover	moreover	ADV
ejpam-6750	36	2	,	,	PUNCT
ejpam-6750	36	3	ngungu	ngungu	PROPN
ejpam-6750	36	4	et	et	PROPN
ejpam-6750	36	5	al	al	PROPN
ejpam-6750	36	6	.	.	PUNCT
ejpam-6750	37	1	[	[	X
ejpam-6750	37	2	13	13	NUM
ejpam-6750	37	3	]	]	PUNCT
ejpam-6750	37	4	examined	examine	VERB
ejpam-6750	37	5	non	non	ADJ
ejpam-6750	37	6	-	-	ADJ
ejpam-6750	37	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6750	37	8	interventions	intervention	NOUN
ejpam-6750	37	9	based	base	VERB
ejpam-6750	37	10	on	on	ADP
ejpam-6750	37	11	real	real	ADJ
ejpam-6750	37	12	outbreak	outbreak	NOUN
ejpam-6750	37	13	data	datum	NOUN
ejpam-6750	37	14	but	but	CCONJ
ejpam-6750	37	15	did	do	AUX
ejpam-6750	37	16	not	not	PART
ejpam-6750	37	17	explicitly	explicitly	ADV
ejpam-6750	37	18	incorporate	incorporate	VERB
ejpam-6750	37	19	environmental	environmental	ADJ
ejpam-6750	37	20	reservoirs	reservoir	NOUN
ejpam-6750	37	21	or	or	CCONJ
ejpam-6750	37	22	structured	structure	VERB
ejpam-6750	37	23	isolation	isolation	NOUN
ejpam-6750	37	24	compartments	compartment	NOUN
ejpam-6750	37	25	.	.	PUNCT
ejpam-6750	38	1	therefore	therefore	ADV
ejpam-6750	38	2	,	,	PUNCT
ejpam-6750	38	3	a	a	DET
ejpam-6750	38	4	comparative	comparative	ADJ
ejpam-6750	38	5	gap	gap	NOUN
ejpam-6750	38	6	remains	remain	VERB
ejpam-6750	38	7	in	in	ADP
ejpam-6750	38	8	synthesizing	synthesize	VERB
ejpam-6750	38	9	both	both	DET
ejpam-6750	38	10	quarantine	quarantine	NOUN
ejpam-6750	38	11	measures	measure	NOUN
ejpam-6750	38	12	and	and	CCONJ
ejpam-6750	38	13	surface	surface	NOUN
ejpam-6750	38	14	contamination	contamination	NOUN
ejpam-6750	38	15	within	within	ADP
ejpam-6750	38	16	a	a	DET
ejpam-6750	38	17	single	single	ADJ
ejpam-6750	38	18	unified	unified	ADJ
ejpam-6750	38	19	framework	framework	NOUN
ejpam-6750	38	20	,	,	PUNCT
ejpam-6750	38	21	especially	especially	ADV
ejpam-6750	38	22	in	in	ADP
ejpam-6750	38	23	the	the	DET
ejpam-6750	38	24	context	context	NOUN
ejpam-6750	38	25	of	of	ADP
ejpam-6750	38	26	regions	region	NOUN
ejpam-6750	38	27	with	with	ADP
ejpam-6750	38	28	low	low	ADJ
ejpam-6750	38	29	vaccination	vaccination	NOUN
ejpam-6750	38	30	coverage	coverage	NOUN
ejpam-6750	38	31	.	.	PUNCT
ejpam-6750	39	1	in	in	ADP
ejpam-6750	39	2	this	this	DET
ejpam-6750	39	3	study	study	NOUN
ejpam-6750	39	4	,	,	PUNCT
ejpam-6750	39	5	an	an	DET
ejpam-6750	39	6	extended	extended	ADJ
ejpam-6750	39	7	seiqr	seiqr	ADJ
ejpam-6750	39	8	-	-	PUNCT
ejpam-6750	39	9	c	c	NOUN
ejpam-6750	39	10	model	model	NOUN
ejpam-6750	39	11	is	be	AUX
ejpam-6750	39	12	developed	develop	VERB
ejpam-6750	39	13	to	to	PART
ejpam-6750	39	14	describe	describe	VERB
ejpam-6750	39	15	the	the	DET
ejpam-6750	39	16	transmission	transmission	NOUN
ejpam-6750	39	17	dynamics	dynamic	NOUN
ejpam-6750	39	18	of	of	ADP
ejpam-6750	39	19	monkeypox	monkeypox	NOUN
ejpam-6750	39	20	by	by	ADP
ejpam-6750	39	21	integrating	integrate	VERB
ejpam-6750	39	22	both	both	CCONJ
ejpam-6750	39	23	quarantine	quarantine	NOUN
ejpam-6750	39	24	and	and	CCONJ
ejpam-6750	39	25	environmental	environmental	ADJ
ejpam-6750	39	26	surface	surface	NOUN
ejpam-6750	39	27	j.	j.	PROPN
ejpam-6750	39	28	a.	a.	PROPN
ejpam-6750	39	29	puebla	puebla	PROPN
ejpam-6750	39	30	jr	jr	PROPN
ejpam-6750	39	31	.	.	PROPN
ejpam-6750	39	32	/	/	SYM
ejpam-6750	39	33	eur	eur	PROPN
ejpam-6750	39	34	.	.	PUNCT
ejpam-6750	40	1	j.	j.	PROPN
ejpam-6750	40	2	pure	pure	PROPN
ejpam-6750	40	3	appl	appl	PROPN
ejpam-6750	40	4	.	.	PROPN
ejpam-6750	40	5	math	math	PROPN
ejpam-6750	40	6	,	,	PUNCT
ejpam-6750	40	7	18	18	NUM
ejpam-6750	40	8	(	(	PUNCT
ejpam-6750	40	9	4	4	NUM
ejpam-6750	40	10	)	)	PUNCT
ejpam-6750	40	11	(	(	PUNCT
ejpam-6750	40	12	2025	2025	NUM
ejpam-6750	40	13	)	)	PUNCT
ejpam-6750	40	14	,	,	PUNCT
ejpam-6750	40	15	6750	6750	NUM
ejpam-6750	40	16	3	3	NUM
ejpam-6750	40	17	of	of	ADP
ejpam-6750	40	18	19	19	NUM
ejpam-6750	40	19	contamination	contamination	NOUN
ejpam-6750	40	20	.	.	PUNCT
ejpam-6750	41	1	earlier	early	ADJ
ejpam-6750	41	2	mathematical	mathematical	ADJ
ejpam-6750	41	3	models	model	NOUN
ejpam-6750	41	4	have	have	AUX
ejpam-6750	41	5	largely	largely	ADV
ejpam-6750	41	6	concentrated	concentrate	VERB
ejpam-6750	41	7	on	on	ADP
ejpam-6750	41	8	direct	direct	ADJ
ejpam-6750	41	9	humanto	humanto	ADP
ejpam-6750	41	10	-	-	PUNCT
ejpam-6750	41	11	human	human	ADJ
ejpam-6750	41	12	transmission	transmission	NOUN
ejpam-6750	41	13	,	,	PUNCT
ejpam-6750	41	14	overlooking	overlook	VERB
ejpam-6750	41	15	the	the	DET
ejpam-6750	41	16	combined	combine	VERB
ejpam-6750	41	17	effects	effect	NOUN
ejpam-6750	41	18	of	of	ADP
ejpam-6750	41	19	isolation	isolation	NOUN
ejpam-6750	41	20	measures	measure	NOUN
ejpam-6750	41	21	and	and	CCONJ
ejpam-6750	41	22	indirect	indirect	ADJ
ejpam-6750	41	23	transmission	transmission	NOUN
ejpam-6750	41	24	through	through	ADP
ejpam-6750	41	25	contaminated	contaminate	VERB
ejpam-6750	41	26	surfaces	surface	NOUN
ejpam-6750	41	27	.	.	PUNCT
ejpam-6750	42	1	incorporating	incorporate	VERB
ejpam-6750	42	2	quarantine	quarantine	NOUN
ejpam-6750	42	3	and	and	CCONJ
ejpam-6750	42	4	surface	surface	NOUN
ejpam-6750	42	5	contamination	contamination	NOUN
ejpam-6750	42	6	into	into	ADP
ejpam-6750	42	7	a	a	DET
ejpam-6750	42	8	single	single	ADJ
ejpam-6750	42	9	modeling	modeling	NOUN
ejpam-6750	42	10	framework	framework	NOUN
ejpam-6750	42	11	provides	provide	VERB
ejpam-6750	42	12	a	a	DET
ejpam-6750	42	13	more	more	ADV
ejpam-6750	42	14	comprehensive	comprehensive	ADJ
ejpam-6750	42	15	and	and	CCONJ
ejpam-6750	42	16	realistic	realistic	ADJ
ejpam-6750	42	17	representation	representation	NOUN
ejpam-6750	42	18	of	of	ADP
ejpam-6750	42	19	the	the	DET
ejpam-6750	42	20	disease	disease	NOUN
ejpam-6750	42	21	dynamics	dynamic	NOUN
ejpam-6750	42	22	,	,	PUNCT
ejpam-6750	42	23	as	as	SCONJ
ejpam-6750	42	24	it	it	PRON
ejpam-6750	42	25	captures	capture	VERB
ejpam-6750	42	26	both	both	CCONJ
ejpam-6750	42	27	behavioral	behavioral	ADJ
ejpam-6750	42	28	and	and	CCONJ
ejpam-6750	42	29	environmental	environmental	ADJ
ejpam-6750	42	30	pathways	pathway	NOUN
ejpam-6750	42	31	of	of	ADP
ejpam-6750	42	32	infection	infection	NOUN
ejpam-6750	42	33	.	.	PUNCT
ejpam-6750	43	1	the	the	DET
ejpam-6750	43	2	model	model	NOUN
ejpam-6750	43	3	further	far	ADV
ejpam-6750	43	4	offers	offer	VERB
ejpam-6750	43	5	analytical	analytical	ADJ
ejpam-6750	43	6	and	and	CCONJ
ejpam-6750	43	7	numerical	numerical	ADJ
ejpam-6750	43	8	insights	insight	NOUN
ejpam-6750	43	9	into	into	ADP
ejpam-6750	43	10	how	how	SCONJ
ejpam-6750	43	11	variations	variation	NOUN
ejpam-6750	43	12	in	in	ADP
ejpam-6750	43	13	quarantine	quarantine	NOUN
ejpam-6750	43	14	efficiency	efficiency	NOUN
ejpam-6750	43	15	and	and	CCONJ
ejpam-6750	43	16	cleaning	cleaning	NOUN
ejpam-6750	43	17	or	or	CCONJ
ejpam-6750	43	18	decay	decay	NOUN
ejpam-6750	43	19	rate	rate	NOUN
ejpam-6750	43	20	affect	affect	VERB
ejpam-6750	43	21	infection	infection	NOUN
ejpam-6750	43	22	persistence	persistence	NOUN
ejpam-6750	43	23	and	and	CCONJ
ejpam-6750	43	24	disease	disease	NOUN
ejpam-6750	43	25	control	control	NOUN
ejpam-6750	43	26	,	,	PUNCT
ejpam-6750	43	27	thereby	thereby	ADV
ejpam-6750	43	28	enhancing	enhance	VERB
ejpam-6750	43	29	the	the	DET
ejpam-6750	43	30	understanding	understanding	NOUN
ejpam-6750	43	31	of	of	ADP
ejpam-6750	43	32	the	the	DET
ejpam-6750	43	33	mechanisms	mechanism	NOUN
ejpam-6750	43	34	that	that	PRON
ejpam-6750	43	35	influence	influence	VERB
ejpam-6750	43	36	the	the	DET
ejpam-6750	43	37	spread	spread	NOUN
ejpam-6750	43	38	and	and	CCONJ
ejpam-6750	43	39	management	management	NOUN
ejpam-6750	43	40	of	of	ADP
ejpam-6750	43	41	monkeypox	monkeypox	NOUN
ejpam-6750	43	42	.	.	PUNCT
ejpam-6750	44	1	2	2	X
ejpam-6750	44	2	.	.	X
ejpam-6750	44	3	model	model	NOUN
ejpam-6750	44	4	formulation	formulation	NOUN
ejpam-6750	44	5	to	to	PART
ejpam-6750	44	6	investigate	investigate	VERB
ejpam-6750	44	7	the	the	DET
ejpam-6750	44	8	transmission	transmission	NOUN
ejpam-6750	44	9	dynamics	dynamic	NOUN
ejpam-6750	44	10	of	of	ADP
ejpam-6750	44	11	monkeypox	monkeypox	NOUN
ejpam-6750	44	12	,	,	PUNCT
ejpam-6750	44	13	a	a	DET
ejpam-6750	44	14	deterministic	deterministic	ADJ
ejpam-6750	44	15	seiqr	seiqr	ADJ
ejpam-6750	44	16	-	-	PUNCT
ejpam-6750	44	17	c	c	NOUN
ejpam-6750	44	18	compartmental	compartmental	ADJ
ejpam-6750	44	19	model	model	NOUN
ejpam-6750	44	20	is	be	AUX
ejpam-6750	44	21	formulated	formulate	VERB
ejpam-6750	44	22	,	,	PUNCT
ejpam-6750	44	23	incorporating	incorporate	VERB
ejpam-6750	44	24	both	both	CCONJ
ejpam-6750	44	25	direct	direct	ADJ
ejpam-6750	44	26	human	human	NOUN
ejpam-6750	44	27	-	-	PUNCT
ejpam-6750	44	28	to	to	ADP
ejpam-6750	44	29	-	-	PUNCT
ejpam-6750	44	30	human	human	ADJ
ejpam-6750	44	31	transmission	transmission	NOUN
ejpam-6750	44	32	and	and	CCONJ
ejpam-6750	44	33	indirect	indirect	ADJ
ejpam-6750	44	34	transmission	transmission	NOUN
ejpam-6750	44	35	through	through	ADP
ejpam-6750	44	36	contaminated	contaminate	VERB
ejpam-6750	44	37	surfaces	surface	NOUN
ejpam-6750	44	38	.	.	PUNCT
ejpam-6750	45	1	the	the	DET
ejpam-6750	45	2	seiqr	seiqr	ADJ
ejpam-6750	45	3	-	-	PUNCT
ejpam-6750	45	4	c	c	NOUN
ejpam-6750	45	5	model	model	NOUN
ejpam-6750	45	6	that	that	PRON
ejpam-6750	45	7	divides	divide	VERB
ejpam-6750	45	8	the	the	DET
ejpam-6750	45	9	total	total	ADJ
ejpam-6750	45	10	human	human	ADJ
ejpam-6750	45	11	population	population	NOUN
ejpam-6750	45	12	into	into	ADP
ejpam-6750	45	13	five	five	NUM
ejpam-6750	45	14	health	health	NOUN
ejpam-6750	45	15	-	-	PUNCT
ejpam-6750	45	16	related	relate	VERB
ejpam-6750	45	17	classes	class	NOUN
ejpam-6750	45	18	,	,	PUNCT
ejpam-6750	45	19	along	along	ADP
ejpam-6750	45	20	with	with	ADP
ejpam-6750	45	21	an	an	DET
ejpam-6750	45	22	environmental	environmental	ADJ
ejpam-6750	45	23	compartment	compartment	NOUN
ejpam-6750	45	24	representing	represent	VERB
ejpam-6750	45	25	surface	surface	NOUN
ejpam-6750	45	26	contamination	contamination	NOUN
ejpam-6750	45	27	:	:	PUNCT
ejpam-6750	45	28	(	(	PUNCT
ejpam-6750	45	29	i	i	NOUN
ejpam-6750	45	30	)	)	PUNCT
ejpam-6750	45	31	susceptible	susceptible	ADJ
ejpam-6750	45	32	individuals	individual	NOUN
ejpam-6750	45	33	(	(	PUNCT
ejpam-6750	45	34	s	s	X
ejpam-6750	45	35	)	)	PUNCT
ejpam-6750	45	36	are	be	AUX
ejpam-6750	45	37	at	at	ADP
ejpam-6750	45	38	risk	risk	NOUN
ejpam-6750	45	39	of	of	ADP
ejpam-6750	45	40	acquiring	acquire	VERB
ejpam-6750	45	41	monkeypox	monkeypox	NOUN
ejpam-6750	45	42	through	through	ADP
ejpam-6750	45	43	direct	direct	ADJ
ejpam-6750	45	44	contact	contact	NOUN
ejpam-6750	45	45	with	with	ADP
ejpam-6750	45	46	infectious	infectious	ADJ
ejpam-6750	45	47	individuals	individual	NOUN
ejpam-6750	45	48	or	or	CCONJ
ejpam-6750	45	49	indirect	indirect	ADJ
ejpam-6750	45	50	contact	contact	NOUN
ejpam-6750	45	51	with	with	ADP
ejpam-6750	45	52	contaminated	contaminate	VERB
ejpam-6750	45	53	surfaces	surface	NOUN
ejpam-6750	45	54	in	in	ADP
ejpam-6750	45	55	the	the	DET
ejpam-6750	45	56	environment	environment	NOUN
ejpam-6750	45	57	.	.	PUNCT
ejpam-6750	46	1	(	(	PUNCT
ejpam-6750	46	2	ii	ii	NOUN
ejpam-6750	46	3	)	)	PUNCT
ejpam-6750	46	4	exposed	expose	VERB
ejpam-6750	46	5	individuals	individual	NOUN
ejpam-6750	46	6	(	(	PUNCT
ejpam-6750	46	7	e	e	NOUN
ejpam-6750	46	8	)	)	PUNCT
ejpam-6750	46	9	who	who	PRON
ejpam-6750	46	10	have	have	AUX
ejpam-6750	46	11	been	be	AUX
ejpam-6750	46	12	infected	infect	VERB
ejpam-6750	46	13	but	but	CCONJ
ejpam-6750	46	14	are	be	AUX
ejpam-6750	46	15	not	not	PART
ejpam-6750	46	16	yet	yet	ADV
ejpam-6750	46	17	infectious	infectious	ADJ
ejpam-6750	46	18	.	.	PUNCT
ejpam-6750	47	1	(	(	PUNCT
ejpam-6750	47	2	iii	iii	X
ejpam-6750	47	3	)	)	PUNCT
ejpam-6750	47	4	infectious	infectious	ADJ
ejpam-6750	47	5	individuals	individual	NOUN
ejpam-6750	47	6	(	(	PUNCT
ejpam-6750	47	7	i	i	NOUN
ejpam-6750	47	8	)	)	PUNCT
ejpam-6750	47	9	capable	capable	ADJ
ejpam-6750	47	10	of	of	ADP
ejpam-6750	47	11	transmitting	transmit	VERB
ejpam-6750	47	12	the	the	DET
ejpam-6750	47	13	virus	virus	NOUN
ejpam-6750	47	14	to	to	ADP
ejpam-6750	47	15	others	other	NOUN
ejpam-6750	47	16	.	.	PUNCT
ejpam-6750	48	1	(	(	PUNCT
ejpam-6750	48	2	iv	iv	X
ejpam-6750	48	3	)	)	PUNCT
ejpam-6750	48	4	quarantined	quarantine	VERB
ejpam-6750	48	5	individuals	individual	NOUN
ejpam-6750	48	6	(	(	PUNCT
ejpam-6750	48	7	q	q	X
ejpam-6750	48	8	)	)	PUNCT
ejpam-6750	48	9	who	who	PRON
ejpam-6750	48	10	have	have	AUX
ejpam-6750	48	11	been	be	AUX
ejpam-6750	48	12	isolated	isolate	VERB
ejpam-6750	48	13	and	and	CCONJ
ejpam-6750	48	14	no	no	ADV
ejpam-6750	48	15	longer	long	ADV
ejpam-6750	48	16	contribute	contribute	VERB
ejpam-6750	48	17	to	to	ADP
ejpam-6750	48	18	transmission	transmission	NOUN
ejpam-6750	48	19	.	.	PUNCT
ejpam-6750	49	1	(	(	PUNCT
ejpam-6750	49	2	v	v	NOUN
ejpam-6750	49	3	)	)	PUNCT
ejpam-6750	49	4	recovered	recover	VERB
ejpam-6750	49	5	individuals	individual	NOUN
ejpam-6750	49	6	(	(	PUNCT
ejpam-6750	49	7	r	r	NOUN
ejpam-6750	49	8	)	)	PUNCT
ejpam-6750	49	9	who	who	PRON
ejpam-6750	49	10	have	have	AUX
ejpam-6750	49	11	acquired	acquire	VERB
ejpam-6750	49	12	permanent	permanent	ADJ
ejpam-6750	49	13	immunity	immunity	NOUN
ejpam-6750	49	14	.	.	PUNCT
ejpam-6750	50	1	(	(	PUNCT
ejpam-6750	50	2	vi	vi	NOUN
ejpam-6750	50	3	)	)	PUNCT
ejpam-6750	50	4	contaminated	contaminate	VERB
ejpam-6750	50	5	surfaces	surface	NOUN
ejpam-6750	50	6	(	(	PUNCT
ejpam-6750	50	7	c	c	X
ejpam-6750	50	8	)	)	PUNCT
ejpam-6750	50	9	such	such	ADJ
ejpam-6750	50	10	as	as	ADP
ejpam-6750	50	11	bedding	bed	VERB
ejpam-6750	50	12	,	,	PUNCT
ejpam-6750	50	13	clothing	clothing	NOUN
ejpam-6750	50	14	,	,	PUNCT
ejpam-6750	50	15	and	and	CCONJ
ejpam-6750	50	16	shared	shared	ADJ
ejpam-6750	50	17	objects	object	NOUN
ejpam-6750	50	18	—	—	PUNCT
ejpam-6750	50	19	serve	serve	VERB
ejpam-6750	50	20	as	as	ADP
ejpam-6750	50	21	environmental	environmental	ADJ
ejpam-6750	50	22	reservoirs	reservoir	NOUN
ejpam-6750	50	23	contributing	contribute	VERB
ejpam-6750	50	24	to	to	ADP
ejpam-6750	50	25	the	the	DET
ejpam-6750	50	26	indirect	indirect	ADJ
ejpam-6750	50	27	transmission	transmission	NOUN
ejpam-6750	50	28	of	of	ADP
ejpam-6750	50	29	the	the	DET
ejpam-6750	50	30	monkeypox	monkeypox	PROPN
ejpam-6750	50	31	virus	virus	NOUN
ejpam-6750	50	32	.	.	PUNCT
ejpam-6750	51	1	the	the	DET
ejpam-6750	51	2	total	total	ADJ
ejpam-6750	51	3	human	human	ADJ
ejpam-6750	51	4	population	population	NOUN
ejpam-6750	51	5	is	be	AUX
ejpam-6750	51	6	given	give	VERB
ejpam-6750	51	7	by	by	ADP
ejpam-6750	51	8	n	n	NOUN
ejpam-6750	51	9	=	=	SYM
ejpam-6750	51	10	s	s	PART
ejpam-6750	51	11	+	+	NUM
ejpam-6750	51	12	e	e	NOUN
ejpam-6750	51	13	+	+	CCONJ
ejpam-6750	51	14	i	i	PRON
ejpam-6750	51	15	+	+	ADJ
ejpam-6750	51	16	q+	q+	ADP
ejpam-6750	51	17	r	r	NOUN
ejpam-6750	51	18	,	,	PUNCT
ejpam-6750	51	19	while	while	SCONJ
ejpam-6750	51	20	c	c	NOUN
ejpam-6750	51	21	represents	represent	VERB
ejpam-6750	51	22	a	a	DET
ejpam-6750	51	23	non	non	ADJ
ejpam-6750	51	24	-	-	ADJ
ejpam-6750	51	25	human	human	ADJ
ejpam-6750	51	26	compartment	compartment	NOUN
ejpam-6750	51	27	contributing	contribute	VERB
ejpam-6750	51	28	to	to	ADP
ejpam-6750	51	29	indirect	indirect	ADJ
ejpam-6750	51	30	transmission	transmission	NOUN
ejpam-6750	51	31	.	.	PUNCT
ejpam-6750	52	1	the	the	DET
ejpam-6750	52	2	model	model	NOUN
ejpam-6750	52	3	is	be	AUX
ejpam-6750	52	4	based	base	VERB
ejpam-6750	52	5	on	on	ADP
ejpam-6750	52	6	the	the	DET
ejpam-6750	52	7	following	follow	VERB
ejpam-6750	52	8	assumptions	assumption	NOUN
ejpam-6750	52	9	:	:	PUNCT
ejpam-6750	52	10	(	(	PUNCT
ejpam-6750	52	11	i	i	NOUN
ejpam-6750	52	12	)	)	PUNCT
ejpam-6750	52	13	the	the	DET
ejpam-6750	52	14	population	population	NOUN
ejpam-6750	52	15	is	be	AUX
ejpam-6750	52	16	replenished	replenish	VERB
ejpam-6750	52	17	at	at	ADP
ejpam-6750	52	18	a	a	DET
ejpam-6750	52	19	constant	constant	ADJ
ejpam-6750	52	20	rate	rate	NOUN
ejpam-6750	52	21	λ	λ	PROPN
ejpam-6750	52	22	,	,	PUNCT
ejpam-6750	52	23	accounting	account	VERB
ejpam-6750	52	24	for	for	ADP
ejpam-6750	52	25	birth	birth	NOUN
ejpam-6750	52	26	and	and	CCONJ
ejpam-6750	52	27	immigration	immigration	NOUN
ejpam-6750	52	28	,	,	PUNCT
ejpam-6750	52	29	and	and	CCONJ
ejpam-6750	52	30	individuals	individual	NOUN
ejpam-6750	52	31	are	be	AUX
ejpam-6750	52	32	removed	remove	VERB
ejpam-6750	52	33	from	from	ADP
ejpam-6750	52	34	all	all	DET
ejpam-6750	52	35	compartments	compartment	NOUN
ejpam-6750	52	36	through	through	ADP
ejpam-6750	52	37	natural	natural	ADJ
ejpam-6750	52	38	death	death	NOUN
ejpam-6750	52	39	at	at	ADP
ejpam-6750	52	40	rate	rate	NOUN
ejpam-6750	52	41	µh	µh	PROPN
ejpam-6750	52	42	.	.	PUNCT
ejpam-6750	53	1	(	(	PUNCT
ejpam-6750	53	2	ii	ii	NOUN
ejpam-6750	53	3	)	)	PUNCT
ejpam-6750	53	4	susceptible	susceptible	ADJ
ejpam-6750	53	5	individuals	individual	NOUN
ejpam-6750	53	6	become	become	AUX
ejpam-6750	53	7	infected	infect	VERB
ejpam-6750	53	8	either	either	CCONJ
ejpam-6750	53	9	by	by	ADP
ejpam-6750	53	10	direct	direct	ADJ
ejpam-6750	53	11	contact	contact	NOUN
ejpam-6750	53	12	with	with	ADP
ejpam-6750	53	13	infectious	infectious	ADJ
ejpam-6750	53	14	individuals	individual	NOUN
ejpam-6750	53	15	or	or	CCONJ
ejpam-6750	53	16	indirectly	indirectly	ADV
ejpam-6750	53	17	through	through	ADP
ejpam-6750	53	18	contact	contact	NOUN
ejpam-6750	53	19	with	with	ADP
ejpam-6750	53	20	contaminated	contaminate	VERB
ejpam-6750	53	21	surfaces	surface	NOUN
ejpam-6750	53	22	.	.	PUNCT
ejpam-6750	54	1	the	the	DET
ejpam-6750	54	2	force	force	NOUN
ejpam-6750	54	3	of	of	ADP
ejpam-6750	54	4	infection	infection	NOUN
ejpam-6750	54	5	is	be	AUX
ejpam-6750	54	6	given	give	VERB
ejpam-6750	54	7	by	by	ADP
ejpam-6750	54	8	βhi	βhi	PROPN
ejpam-6750	54	9	+	+	X
ejpam-6750	54	10	βcc	βcc	ADJ
ejpam-6750	54	11	,	,	PUNCT
ejpam-6750	54	12	where	where	SCONJ
ejpam-6750	54	13	βh	βh	INTJ
ejpam-6750	55	1	and	and	CCONJ
ejpam-6750	55	2	βc	βc	PRON
ejpam-6750	55	3	represent	represent	VERB
ejpam-6750	55	4	the	the	DET
ejpam-6750	55	5	direct	direct	ADJ
ejpam-6750	55	6	and	and	CCONJ
ejpam-6750	55	7	indirect	indirect	ADJ
ejpam-6750	55	8	j.	j.	PROPN
ejpam-6750	55	9	a.	a.	PROPN
ejpam-6750	55	10	puebla	puebla	PROPN
ejpam-6750	55	11	jr	jr	PROPN
ejpam-6750	55	12	.	.	PROPN
ejpam-6750	55	13	/	/	SYM
ejpam-6750	55	14	eur	eur	PROPN
ejpam-6750	55	15	.	.	PUNCT
ejpam-6750	56	1	j.	j.	PROPN
ejpam-6750	56	2	pure	pure	PROPN
ejpam-6750	56	3	appl	appl	PROPN
ejpam-6750	56	4	.	.	PROPN
ejpam-6750	56	5	math	math	PROPN
ejpam-6750	56	6	,	,	PUNCT
ejpam-6750	56	7	18	18	NUM
ejpam-6750	56	8	(	(	PUNCT
ejpam-6750	56	9	4	4	NUM
ejpam-6750	56	10	)	)	PUNCT
ejpam-6750	56	11	(	(	PUNCT
ejpam-6750	56	12	2025	2025	NUM
ejpam-6750	56	13	)	)	PUNCT
ejpam-6750	56	14	,	,	PUNCT
ejpam-6750	56	15	6750	6750	NUM
ejpam-6750	56	16	4	4	NUM
ejpam-6750	56	17	of	of	ADP
ejpam-6750	56	18	19	19	NUM
ejpam-6750	56	19	transmission	transmission	NOUN
ejpam-6750	56	20	rates	rate	NOUN
ejpam-6750	56	21	,	,	PUNCT
ejpam-6750	56	22	respectively	respectively	ADV
ejpam-6750	56	23	.	.	PUNCT
ejpam-6750	57	1	the	the	DET
ejpam-6750	57	2	force	force	NOUN
ejpam-6750	57	3	of	of	ADP
ejpam-6750	57	4	infection	infection	NOUN
ejpam-6750	57	5	is	be	AUX
ejpam-6750	57	6	modeled	model	VERB
ejpam-6750	57	7	using	use	VERB
ejpam-6750	57	8	a	a	DET
ejpam-6750	57	9	standard	standard	ADJ
ejpam-6750	57	10	mass	mass	ADJ
ejpam-6750	57	11	-	-	PUNCT
ejpam-6750	57	12	action	action	NOUN
ejpam-6750	57	13	form	form	NOUN
ejpam-6750	57	14	βhi	βhi	PRON
ejpam-6750	57	15	+	+	CCONJ
ejpam-6750	57	16	βcc	βcc	ADJ
ejpam-6750	57	17	,	,	PUNCT
ejpam-6750	57	18	consistent	consistent	ADJ
ejpam-6750	57	19	with	with	ADP
ejpam-6750	57	20	previous	previous	ADJ
ejpam-6750	57	21	studies	study	NOUN
ejpam-6750	57	22	on	on	ADP
ejpam-6750	57	23	monkeypox	monkeypox	NOUN
ejpam-6750	57	24	transmission	transmission	NOUN
ejpam-6750	57	25	[	[	X
ejpam-6750	57	26	16	16	NUM
ejpam-6750	57	27	,	,	PUNCT
ejpam-6750	57	28	18	18	NUM
ejpam-6750	57	29	]	]	PUNCT
ejpam-6750	57	30	.	.	PUNCT
ejpam-6750	58	1	this	this	DET
ejpam-6750	58	2	formulation	formulation	NOUN
ejpam-6750	58	3	assumes	assume	VERB
ejpam-6750	58	4	proportional	proportional	ADJ
ejpam-6750	58	5	contact	contact	NOUN
ejpam-6750	58	6	between	between	ADP
ejpam-6750	58	7	susceptible	susceptible	ADJ
ejpam-6750	58	8	individuals	individual	NOUN
ejpam-6750	58	9	and	and	CCONJ
ejpam-6750	58	10	both	both	DET
ejpam-6750	58	11	infectious	infectious	ADJ
ejpam-6750	58	12	humans	human	NOUN
ejpam-6750	58	13	and	and	CCONJ
ejpam-6750	58	14	contaminated	contaminate	VERB
ejpam-6750	58	15	surfaces	surface	NOUN
ejpam-6750	58	16	.	.	PUNCT
ejpam-6750	59	1	the	the	DET
ejpam-6750	59	2	probability	probability	NOUN
ejpam-6750	59	3	of	of	ADP
ejpam-6750	59	4	infection	infection	NOUN
ejpam-6750	59	5	increases	increase	NOUN
ejpam-6750	59	6	proportionally	proportionally	ADV
ejpam-6750	59	7	with	with	ADP
ejpam-6750	59	8	the	the	DET
ejpam-6750	59	9	number	number	NOUN
ejpam-6750	59	10	of	of	ADP
ejpam-6750	59	11	infectious	infectious	ADJ
ejpam-6750	59	12	individuals	individual	NOUN
ejpam-6750	59	13	and	and	CCONJ
ejpam-6750	59	14	the	the	DET
ejpam-6750	59	15	level	level	NOUN
ejpam-6750	59	16	of	of	ADP
ejpam-6750	59	17	environmental	environmental	ADJ
ejpam-6750	59	18	contamination	contamination	NOUN
ejpam-6750	59	19	.	.	PUNCT
ejpam-6750	60	1	(	(	PUNCT
ejpam-6750	60	2	iii	iii	NOUN
ejpam-6750	60	3	)	)	PUNCT
ejpam-6750	60	4	exposed	expose	VERB
ejpam-6750	60	5	individuals	individual	NOUN
ejpam-6750	60	6	are	be	AUX
ejpam-6750	60	7	infected	infect	VERB
ejpam-6750	60	8	but	but	CCONJ
ejpam-6750	60	9	not	not	PART
ejpam-6750	60	10	infectious	infectious	ADJ
ejpam-6750	60	11	.	.	PUNCT
ejpam-6750	61	1	they	they	PRON
ejpam-6750	61	2	progress	progress	VERB
ejpam-6750	61	3	to	to	ADP
ejpam-6750	61	4	the	the	DET
ejpam-6750	61	5	infectious	infectious	ADJ
ejpam-6750	61	6	compartment	compartment	NOUN
ejpam-6750	61	7	at	at	ADP
ejpam-6750	61	8	rate	rate	NOUN
ejpam-6750	61	9	γ	γ	PROPN
ejpam-6750	61	10	,	,	PUNCT
ejpam-6750	61	11	or	or	CCONJ
ejpam-6750	61	12	exit	exit	NOUN
ejpam-6750	61	13	due	due	ADP
ejpam-6750	61	14	to	to	ADP
ejpam-6750	61	15	natural	natural	ADJ
ejpam-6750	61	16	death	death	NOUN
ejpam-6750	61	17	.	.	PUNCT
ejpam-6750	62	1	(	(	PUNCT
ejpam-6750	62	2	iv	iv	X
ejpam-6750	62	3	)	)	PUNCT
ejpam-6750	62	4	infectious	infectious	ADJ
ejpam-6750	62	5	individuals	individual	NOUN
ejpam-6750	62	6	either	either	CCONJ
ejpam-6750	62	7	recover	recover	VERB
ejpam-6750	62	8	at	at	ADP
ejpam-6750	62	9	rate	rate	NOUN
ejpam-6750	62	10	γ0	γ0	NOUN
ejpam-6750	62	11	,	,	PUNCT
ejpam-6750	62	12	are	be	AUX
ejpam-6750	62	13	quarantined	quarantine	VERB
ejpam-6750	62	14	at	at	ADP
ejpam-6750	62	15	rate	rate	NOUN
ejpam-6750	62	16	θ	θ	PROPN
ejpam-6750	62	17	,	,	PUNCT
ejpam-6750	62	18	or	or	CCONJ
ejpam-6750	62	19	die	die	VERB
ejpam-6750	62	20	naturally	naturally	ADV
ejpam-6750	62	21	.	.	PUNCT
ejpam-6750	63	1	quarantined	quarantine	VERB
ejpam-6750	63	2	individuals	individual	NOUN
ejpam-6750	63	3	are	be	AUX
ejpam-6750	63	4	isolated	isolate	VERB
ejpam-6750	63	5	from	from	ADP
ejpam-6750	63	6	the	the	DET
ejpam-6750	63	7	population	population	NOUN
ejpam-6750	63	8	and	and	CCONJ
ejpam-6750	63	9	do	do	AUX
ejpam-6750	63	10	not	not	PART
ejpam-6750	63	11	contribute	contribute	VERB
ejpam-6750	63	12	to	to	ADP
ejpam-6750	63	13	new	new	ADJ
ejpam-6750	63	14	infections	infection	NOUN
ejpam-6750	63	15	.	.	PUNCT
ejpam-6750	64	1	they	they	PRON
ejpam-6750	64	2	recover	recover	VERB
ejpam-6750	64	3	at	at	ADP
ejpam-6750	64	4	rate	rate	NOUN
ejpam-6750	64	5	γq	γq	ADP
ejpam-6750	64	6	or	or	CCONJ
ejpam-6750	64	7	die	die	VERB
ejpam-6750	64	8	naturally	naturally	ADV
ejpam-6750	64	9	.	.	PUNCT
ejpam-6750	65	1	(	(	PUNCT
ejpam-6750	65	2	v	v	NOUN
ejpam-6750	65	3	)	)	PUNCT
ejpam-6750	65	4	recovered	recover	VERB
ejpam-6750	65	5	individuals	individual	NOUN
ejpam-6750	65	6	are	be	AUX
ejpam-6750	65	7	assumed	assume	VERB
ejpam-6750	65	8	to	to	PART
ejpam-6750	65	9	gain	gain	VERB
ejpam-6750	65	10	permanent	permanent	ADJ
ejpam-6750	65	11	immunity	immunity	NOUN
ejpam-6750	65	12	and	and	CCONJ
ejpam-6750	65	13	do	do	AUX
ejpam-6750	65	14	not	not	PART
ejpam-6750	65	15	return	return	VERB
ejpam-6750	65	16	to	to	ADP
ejpam-6750	65	17	the	the	DET
ejpam-6750	65	18	susceptible	susceptible	ADJ
ejpam-6750	65	19	class	class	NOUN
ejpam-6750	65	20	.	.	PUNCT
ejpam-6750	66	1	(	(	PUNCT
ejpam-6750	66	2	vi	vi	NOUN
ejpam-6750	66	3	)	)	PUNCT
ejpam-6750	66	4	infectious	infectious	ADJ
ejpam-6750	66	5	individuals	individual	NOUN
ejpam-6750	66	6	shed	shed	VERB
ejpam-6750	66	7	the	the	DET
ejpam-6750	66	8	virus	virus	NOUN
ejpam-6750	66	9	into	into	ADP
ejpam-6750	66	10	the	the	DET
ejpam-6750	66	11	environment	environment	NOUN
ejpam-6750	66	12	at	at	ADP
ejpam-6750	66	13	rate	rate	NOUN
ejpam-6750	66	14	α	α	NOUN
ejpam-6750	66	15	,	,	PUNCT
ejpam-6750	66	16	contributing	contribute	VERB
ejpam-6750	66	17	to	to	ADP
ejpam-6750	66	18	surface	surface	NOUN
ejpam-6750	66	19	contamination	contamination	NOUN
ejpam-6750	66	20	.	.	PUNCT
ejpam-6750	67	1	the	the	DET
ejpam-6750	67	2	environmental	environmental	ADJ
ejpam-6750	67	3	viral	viral	ADJ
ejpam-6750	67	4	load	load	NOUN
ejpam-6750	67	5	decays	decay	NOUN
ejpam-6750	67	6	at	at	ADP
ejpam-6750	67	7	rate	rate	NOUN
ejpam-6750	67	8	µp	µp	NOUN
ejpam-6750	67	9	due	due	ADP
ejpam-6750	67	10	to	to	ADP
ejpam-6750	67	11	natural	natural	ADJ
ejpam-6750	67	12	inactivation	inactivation	NOUN
ejpam-6750	67	13	or	or	CCONJ
ejpam-6750	67	14	cleaning	cleaning	NOUN
ejpam-6750	67	15	.	.	PUNCT
ejpam-6750	68	1	(	(	PUNCT
ejpam-6750	68	2	vii	vii	PROPN
ejpam-6750	68	3	)	)	PUNCT
ejpam-6750	68	4	the	the	DET
ejpam-6750	68	5	model	model	NOUN
ejpam-6750	68	6	does	do	AUX
ejpam-6750	68	7	not	not	PART
ejpam-6750	68	8	account	account	VERB
ejpam-6750	68	9	for	for	ADP
ejpam-6750	68	10	vertical	vertical	ADJ
ejpam-6750	68	11	transmission	transmission	NOUN
ejpam-6750	68	12	,	,	PUNCT
ejpam-6750	68	13	re	re	NOUN
ejpam-6750	68	14	-	-	NOUN
ejpam-6750	68	15	infection	infection	NOUN
ejpam-6750	68	16	,	,	PUNCT
ejpam-6750	68	17	or	or	CCONJ
ejpam-6750	68	18	disease	disease	NOUN
ejpam-6750	68	19	importation	importation	NOUN
ejpam-6750	68	20	.	.	PUNCT
ejpam-6750	69	1	all	all	DET
ejpam-6750	69	2	transitions	transition	NOUN
ejpam-6750	69	3	between	between	ADP
ejpam-6750	69	4	compartments	compartment	NOUN
ejpam-6750	69	5	follow	follow	VERB
ejpam-6750	69	6	standard	standard	ADJ
ejpam-6750	69	7	mass	mass	ADJ
ejpam-6750	69	8	-	-	PUNCT
ejpam-6750	69	9	action	action	NOUN
ejpam-6750	69	10	incidence	incidence	NOUN
ejpam-6750	69	11	.	.	PUNCT
ejpam-6750	70	1	this	this	DET
ejpam-6750	70	2	assumption	assumption	NOUN
ejpam-6750	70	3	is	be	AUX
ejpam-6750	70	4	supported	support	VERB
ejpam-6750	70	5	by	by	ADP
ejpam-6750	70	6	epidemiological	epidemiological	ADJ
ejpam-6750	70	7	evidence	evidence	NOUN
ejpam-6750	70	8	showing	show	VERB
ejpam-6750	70	9	that	that	SCONJ
ejpam-6750	70	10	recovered	recover	VERB
ejpam-6750	70	11	individuals	individual	NOUN
ejpam-6750	70	12	develop	develop	VERB
ejpam-6750	70	13	lasting	last	VERB
ejpam-6750	70	14	immunity	immunity	NOUN
ejpam-6750	70	15	and	and	CCONJ
ejpam-6750	70	16	that	that	SCONJ
ejpam-6750	70	17	vertical	vertical	ADJ
ejpam-6750	70	18	transmission	transmission	NOUN
ejpam-6750	70	19	of	of	ADP
ejpam-6750	70	20	monkeypox	monkeypox	NOUN
ejpam-6750	70	21	has	have	AUX
ejpam-6750	70	22	not	not	PART
ejpam-6750	70	23	been	be	AUX
ejpam-6750	70	24	observed	observe	VERB
ejpam-6750	70	25	in	in	ADP
ejpam-6750	70	26	humans	human	NOUN
ejpam-6750	70	27	[	[	X
ejpam-6750	70	28	2	2	NUM
ejpam-6750	70	29	,	,	PUNCT
ejpam-6750	70	30	6	6	NUM
ejpam-6750	70	31	,	,	PUNCT
ejpam-6750	70	32	7	7	NUM
ejpam-6750	70	33	]	]	PUNCT
ejpam-6750	70	34	.	.	PUNCT
ejpam-6750	71	1	moreover	moreover	ADV
ejpam-6750	71	2	,	,	PUNCT
ejpam-6750	71	3	the	the	DET
ejpam-6750	71	4	use	use	NOUN
ejpam-6750	71	5	of	of	ADP
ejpam-6750	71	6	a	a	DET
ejpam-6750	71	7	standard	standard	ADJ
ejpam-6750	71	8	massaction	massaction	NOUN
ejpam-6750	71	9	incidence	incidence	NOUN
ejpam-6750	71	10	follows	follow	VERB
ejpam-6750	71	11	previous	previous	ADJ
ejpam-6750	71	12	modeling	modeling	NOUN
ejpam-6750	71	13	approaches	approach	NOUN
ejpam-6750	71	14	[	[	X
ejpam-6750	71	15	16	16	NUM
ejpam-6750	71	16	,	,	PUNCT
ejpam-6750	71	17	18	18	NUM
ejpam-6750	71	18	]	]	PUNCT
ejpam-6750	71	19	,	,	PUNCT
ejpam-6750	71	20	which	which	PRON
ejpam-6750	71	21	apply	apply	VERB
ejpam-6750	71	22	this	this	DET
ejpam-6750	71	23	form	form	NOUN
ejpam-6750	71	24	to	to	PART
ejpam-6750	71	25	maintain	maintain	VERB
ejpam-6750	71	26	analytical	analytical	ADJ
ejpam-6750	71	27	tractability	tractability	NOUN
ejpam-6750	71	28	while	while	SCONJ
ejpam-6750	71	29	capturing	capture	VERB
ejpam-6750	71	30	the	the	DET
ejpam-6750	71	31	essential	essential	ADJ
ejpam-6750	71	32	transmission	transmission	NOUN
ejpam-6750	71	33	mechanisms	mechanism	NOUN
ejpam-6750	71	34	.	.	PUNCT
ejpam-6750	72	1	based	base	VERB
ejpam-6750	72	2	on	on	ADP
ejpam-6750	72	3	the	the	DET
ejpam-6750	72	4	aforementioned	aforementioned	ADJ
ejpam-6750	72	5	assumptions	assumption	NOUN
ejpam-6750	72	6	,	,	PUNCT
ejpam-6750	72	7	figure	figure	VERB
ejpam-6750	72	8	1	1	NUM
ejpam-6750	72	9	presents	present	VERB
ejpam-6750	72	10	the	the	DET
ejpam-6750	72	11	mathematical	mathematical	ADJ
ejpam-6750	72	12	model	model	NOUN
ejpam-6750	72	13	depicting	depict	VERB
ejpam-6750	72	14	the	the	DET
ejpam-6750	72	15	transmission	transmission	NOUN
ejpam-6750	72	16	dynamics	dynamic	NOUN
ejpam-6750	72	17	of	of	ADP
ejpam-6750	72	18	monkeypox	monkeypox	PROPN
ejpam-6750	72	19	.	.	PUNCT
ejpam-6750	73	1	figure	figure	VERB
ejpam-6750	73	2	1	1	NUM
ejpam-6750	73	3	:	:	PUNCT
ejpam-6750	73	4	seiqr	seiqr	ADJ
ejpam-6750	73	5	-	-	PUNCT
ejpam-6750	73	6	c	c	NOUN
ejpam-6750	73	7	model	model	NOUN
ejpam-6750	73	8	for	for	ADP
ejpam-6750	73	9	the	the	DET
ejpam-6750	73	10	transmission	transmission	NOUN
ejpam-6750	73	11	dynamics	dynamic	NOUN
ejpam-6750	73	12	of	of	ADP
ejpam-6750	73	13	monkeypox	monkeypox	PROPN
ejpam-6750	73	14	j.	j.	PROPN
ejpam-6750	73	15	a.	a.	PROPN
ejpam-6750	73	16	puebla	puebla	PROPN
ejpam-6750	73	17	jr	jr	PROPN
ejpam-6750	73	18	.	.	PROPN
ejpam-6750	73	19	/	/	SYM
ejpam-6750	73	20	eur	eur	PROPN
ejpam-6750	73	21	.	.	PUNCT
ejpam-6750	74	1	j.	j.	PROPN
ejpam-6750	74	2	pure	pure	PROPN
ejpam-6750	74	3	appl	appl	PROPN
ejpam-6750	74	4	.	.	PROPN
ejpam-6750	74	5	math	math	PROPN
ejpam-6750	74	6	,	,	PUNCT
ejpam-6750	74	7	18	18	NUM
ejpam-6750	74	8	(	(	PUNCT
ejpam-6750	74	9	4	4	NUM
ejpam-6750	74	10	)	)	PUNCT
ejpam-6750	74	11	(	(	PUNCT
ejpam-6750	74	12	2025	2025	NUM
ejpam-6750	74	13	)	)	PUNCT
ejpam-6750	74	14	,	,	PUNCT
ejpam-6750	74	15	6750	6750	NUM
ejpam-6750	74	16	5	5	NUM
ejpam-6750	74	17	of	of	ADP
ejpam-6750	74	18	19	19	NUM
ejpam-6750	74	19	the	the	DET
ejpam-6750	74	20	transmission	transmission	NOUN
ejpam-6750	74	21	dynamics	dynamic	NOUN
ejpam-6750	74	22	of	of	ADP
ejpam-6750	74	23	the	the	DET
ejpam-6750	74	24	monkeypox	monkeypox	NOUN
ejpam-6750	74	25	seiqr	seiqr	PROPN
ejpam-6750	74	26	-	-	PUNCT
ejpam-6750	74	27	c	c	NOUN
ejpam-6750	74	28	model	model	NOUN
ejpam-6750	74	29	,	,	PUNCT
ejpam-6750	74	30	shown	show	VERB
ejpam-6750	74	31	in	in	ADP
ejpam-6750	74	32	figure	figure	NOUN
ejpam-6750	74	33	1	1	NUM
ejpam-6750	74	34	,	,	PUNCT
ejpam-6750	74	35	are	be	AUX
ejpam-6750	74	36	described	describe	VERB
ejpam-6750	74	37	by	by	ADP
ejpam-6750	74	38	the	the	DET
ejpam-6750	74	39	following	follow	VERB
ejpam-6750	74	40	system	system	NOUN
ejpam-6750	74	41	of	of	ADP
ejpam-6750	74	42	ordinary	ordinary	ADJ
ejpam-6750	74	43	differential	differential	ADJ
ejpam-6750	74	44	equations	equations	PROPN
ejpam-6750	74	45	ds	ds	NOUN
ejpam-6750	74	46	dt	dt	NOUN
ejpam-6750	74	47	=	=	SYM
ejpam-6750	74	48	λ−	λ−	PROPN
ejpam-6750	74	49	(	(	PUNCT
ejpam-6750	74	50	βhi	βhi	PROPN
ejpam-6750	74	51	+	+	NUM
ejpam-6750	74	52	βcc)s	βcc)s	SYM
ejpam-6750	74	53	−	−	PROPN
ejpam-6750	74	54	µhs	µhs	PROPN
ejpam-6750	74	55	de	de	X
ejpam-6750	74	56	dt	dt	PROPN
ejpam-6750	74	57	=	=	PUNCT
ejpam-6750	74	58	(	(	PUNCT
ejpam-6750	74	59	βhi	βhi	PROPN
ejpam-6750	74	60	+	+	NUM
ejpam-6750	74	61	βcc)s	βcc)s	PUNCT
ejpam-6750	74	62	−	−	PROPN
ejpam-6750	74	63	(	(	PUNCT
ejpam-6750	74	64	γ	γ	X
ejpam-6750	74	65	+	+	PROPN
ejpam-6750	74	66	µh)e	µh)e	PROPN
ejpam-6750	74	67	di	di	NOUN
ejpam-6750	74	68	dt	dt	NOUN
ejpam-6750	75	1	=	=	PUNCT
ejpam-6750	75	2	γe	γe	NUM
ejpam-6750	75	3	−	−	PROPN
ejpam-6750	75	4	(	(	PUNCT
ejpam-6750	75	5	γ0	γ0	NOUN
ejpam-6750	75	6	+	+	NUM
ejpam-6750	75	7	θ	θ	PROPN
ejpam-6750	75	8	+	+	PUNCT
ejpam-6750	75	9	µh)i	µh)i	PROPN
ejpam-6750	75	10	dq	dq	ADP
ejpam-6750	75	11	dt	dt	NOUN
ejpam-6750	75	12	=	=	VERB
ejpam-6750	75	13	θi	θi	NUM
ejpam-6750	75	14	−	−	PROPN
ejpam-6750	75	15	(	(	PUNCT
ejpam-6750	75	16	γq	γq	ADP
ejpam-6750	75	17	+	+	CCONJ
ejpam-6750	75	18	µh)q	µh)q	PROPN
ejpam-6750	75	19	dr	dr	PROPN
ejpam-6750	75	20	dt	dt	PROPN
ejpam-6750	75	21	=	=	PUNCT
ejpam-6750	75	22	γ0i	γ0i	NOUN
ejpam-6750	76	1	+	+	CCONJ
ejpam-6750	76	2	γqq−	γqq−	PROPN
ejpam-6750	76	3	µhr	µhr	VERB
ejpam-6750	76	4	dc	dc	PROPN
ejpam-6750	76	5	dt	dt	PROPN
ejpam-6750	77	1	=	=	PUNCT
ejpam-6750	77	2	αi	αi	PROPN
ejpam-6750	77	3	−	−	NOUN
ejpam-6750	77	4	µpc	µpc	NOUN
ejpam-6750	77	5	.	.	PUNCT
ejpam-6750	78	1	(	(	PUNCT
ejpam-6750	78	2	1	1	X
ejpam-6750	78	3	)	)	PUNCT
ejpam-6750	78	4	system	system	NOUN
ejpam-6750	78	5	(	(	PUNCT
ejpam-6750	78	6	1	1	X
ejpam-6750	78	7	)	)	PUNCT
ejpam-6750	78	8	is	be	AUX
ejpam-6750	78	9	defined	define	VERB
ejpam-6750	78	10	with	with	ADP
ejpam-6750	78	11	the	the	DET
ejpam-6750	78	12	following	follow	VERB
ejpam-6750	78	13	initial	initial	ADJ
ejpam-6750	78	14	conditions	condition	NOUN
ejpam-6750	78	15	s(0	s(0	PROPN
ejpam-6750	78	16	)	)	PUNCT
ejpam-6750	78	17	>	>	X
ejpam-6750	78	18	0	0	NUM
ejpam-6750	78	19	,	,	PUNCT
ejpam-6750	78	20	e(0	e(0	NOUN
ejpam-6750	78	21	)	)	PUNCT
ejpam-6750	78	22	≥	≥	NOUN
ejpam-6750	78	23	0	0	NUM
ejpam-6750	78	24	,	,	PUNCT
ejpam-6750	78	25	i(0	i(0	PROPN
ejpam-6750	78	26	)	)	PUNCT
ejpam-6750	78	27	≥	≥	NOUN
ejpam-6750	78	28	0	0	NUM
ejpam-6750	78	29	,	,	PUNCT
ejpam-6750	78	30	q(0	q(0	PROPN
ejpam-6750	78	31	)	)	PUNCT
ejpam-6750	78	32	≥	≥	NOUN
ejpam-6750	78	33	0	0	NUM
ejpam-6750	78	34	,	,	PUNCT
ejpam-6750	78	35	and	and	CCONJ
ejpam-6750	78	36	r	r	NOUN
ejpam-6750	78	37	≥	≥	NOUN
ejpam-6750	78	38	0	0	NUM
ejpam-6750	78	39	,	,	PUNCT
ejpam-6750	78	40	and	and	CCONJ
ejpam-6750	78	41	c(0	c(0	PROPN
ejpam-6750	78	42	)	)	PUNCT
ejpam-6750	78	43	≥	≥	NOUN
ejpam-6750	78	44	0	0	NUM
ejpam-6750	78	45	.	.	PUNCT
ejpam-6750	79	1	all	all	DET
ejpam-6750	79	2	parameters	parameter	NOUN
ejpam-6750	79	3	in	in	ADP
ejpam-6750	79	4	system	system	NOUN
ejpam-6750	79	5	are	be	AUX
ejpam-6750	79	6	described	describe	VERB
ejpam-6750	79	7	in	in	ADP
ejpam-6750	79	8	table	table	NOUN
ejpam-6750	79	9	1	1	NUM
ejpam-6750	79	10	.	.	PUNCT
ejpam-6750	80	1	parameter	parameter	NOUN
ejpam-6750	80	2	description	description	NOUN
ejpam-6750	80	3	value	value	NOUN
ejpam-6750	80	4	source	source	NOUN
ejpam-6750	80	5	λ	λ	PROPN
ejpam-6750	80	6	recruitment	recruitment	NOUN
ejpam-6750	80	7	rate	rate	NOUN
ejpam-6750	80	8	of	of	ADP
ejpam-6750	80	9	the	the	DET
ejpam-6750	80	10	human	human	ADJ
ejpam-6750	80	11	population	population	NOUN
ejpam-6750	80	12	5	5	NUM
ejpam-6750	80	13	assumed	assume	VERB
ejpam-6750	80	14	βh	βh	ADP
ejpam-6750	80	15	transmission	transmission	NOUN
ejpam-6750	80	16	rate	rate	NOUN
ejpam-6750	80	17	between	between	ADP
ejpam-6750	80	18	infectious	infectious	ADJ
ejpam-6750	80	19	and	and	CCONJ
ejpam-6750	80	20	susceptible	susceptible	ADJ
ejpam-6750	80	21	individuals	individual	NOUN
ejpam-6750	80	22	0.2084	0.2084	NUM
ejpam-6750	81	1	[	[	X
ejpam-6750	81	2	16	16	NUM
ejpam-6750	81	3	,	,	PUNCT
ejpam-6750	81	4	17	17	NUM
ejpam-6750	81	5	]	]	PUNCT
ejpam-6750	81	6	βc	βc	ADP
ejpam-6750	81	7	transmission	transmission	NOUN
ejpam-6750	81	8	rate	rate	NOUN
ejpam-6750	81	9	between	between	ADP
ejpam-6750	81	10	contaminated	contaminate	VERB
ejpam-6750	81	11	surfaces	surface	NOUN
ejpam-6750	81	12	and	and	CCONJ
ejpam-6750	81	13	susceptible	susceptible	ADJ
ejpam-6750	81	14	individuals	individual	NOUN
ejpam-6750	81	15	7.6977x10−8	7.6977x10−8	NUM
ejpam-6750	81	16	[	[	X
ejpam-6750	81	17	17	17	NUM
ejpam-6750	81	18	]	]	X
ejpam-6750	81	19	γ	γ	PROPN
ejpam-6750	81	20	progression	progression	NOUN
ejpam-6750	81	21	rate	rate	NOUN
ejpam-6750	81	22	from	from	ADP
ejpam-6750	81	23	exposed	expose	VERB
ejpam-6750	81	24	to	to	ADP
ejpam-6750	81	25	infectious	infectious	ADJ
ejpam-6750	81	26	0.2	0.2	NUM
ejpam-6750	82	1	[	[	SYM
ejpam-6750	82	2	19	19	NUM
ejpam-6750	82	3	]	]	X
ejpam-6750	82	4	γ0	γ0	NOUN
ejpam-6750	82	5	recovery	recovery	NOUN
ejpam-6750	82	6	rate	rate	NOUN
ejpam-6750	82	7	of	of	ADP
ejpam-6750	82	8	infectious	infectious	ADJ
ejpam-6750	82	9	individuals	individual	NOUN
ejpam-6750	82	10	0.1490	0.1490	NUM
ejpam-6750	82	11	[	[	X
ejpam-6750	82	12	17	17	NUM
ejpam-6750	82	13	,	,	PUNCT
ejpam-6750	82	14	19	19	NUM
ejpam-6750	82	15	]	]	PUNCT
ejpam-6750	82	16	γq	γq	ADP
ejpam-6750	82	17	recovery	recovery	NOUN
ejpam-6750	82	18	rate	rate	NOUN
ejpam-6750	82	19	of	of	ADP
ejpam-6750	82	20	quarantined	quarantine	VERB
ejpam-6750	82	21	individuals	individual	NOUN
ejpam-6750	83	1	3.5430x10−4	3.5430x10−4	NUM
ejpam-6750	83	2	[	[	X
ejpam-6750	83	3	17	17	NUM
ejpam-6750	83	4	]	]	SYM
ejpam-6750	83	5	θ	θ	PROPN
ejpam-6750	83	6	quarantine	quarantine	NOUN
ejpam-6750	83	7	rate	rate	NOUN
ejpam-6750	83	8	of	of	ADP
ejpam-6750	83	9	symptomatic	symptomatic	ADJ
ejpam-6750	83	10	individuals	individual	NOUN
ejpam-6750	83	11	2	2	NUM
ejpam-6750	83	12	[	[	SYM
ejpam-6750	83	13	18	18	NUM
ejpam-6750	83	14	]	]	PUNCT
ejpam-6750	83	15	α	α	NOUN
ejpam-6750	83	16	contamination	contamination	NOUN
ejpam-6750	83	17	rate	rate	NOUN
ejpam-6750	83	18	from	from	ADP
ejpam-6750	83	19	infectious	infectious	ADJ
ejpam-6750	83	20	individuals	individual	NOUN
ejpam-6750	83	21	to	to	PART
ejpam-6750	83	22	surfaces	surface	NOUN
ejpam-6750	83	23	0.004	0.004	NUM
ejpam-6750	83	24	[	[	X
ejpam-6750	83	25	18	18	NUM
ejpam-6750	83	26	]	]	PUNCT
ejpam-6750	83	27	µp	µp	NOUN
ejpam-6750	83	28	cleaning	cleaning	NOUN
ejpam-6750	83	29	or	or	CCONJ
ejpam-6750	83	30	decay	decay	NOUN
ejpam-6750	83	31	rate	rate	NOUN
ejpam-6750	83	32	of	of	ADP
ejpam-6750	83	33	the	the	DET
ejpam-6750	83	34	virus	virus	NOUN
ejpam-6750	83	35	on	on	ADP
ejpam-6750	83	36	the	the	DET
ejpam-6750	83	37	contaminated	contaminate	VERB
ejpam-6750	83	38	surfaces	surface	NOUN
ejpam-6750	83	39	1.8	1.8	NUM
ejpam-6750	83	40	assumed	assume	VERB
ejpam-6750	83	41	µh	µh	PROPN
ejpam-6750	83	42	natural	natural	ADJ
ejpam-6750	83	43	human	human	ADJ
ejpam-6750	83	44	mortality	mortality	NOUN
ejpam-6750	83	45	rate	rate	NOUN
ejpam-6750	83	46	0.2	0.2	NUM
ejpam-6750	83	47	[	[	SYM
ejpam-6750	83	48	18	18	NUM
ejpam-6750	83	49	]	]	PUNCT
ejpam-6750	83	50	table	table	NOUN
ejpam-6750	83	51	1	1	NUM
ejpam-6750	83	52	:	:	PUNCT
ejpam-6750	83	53	description	description	NOUN
ejpam-6750	83	54	and	and	CCONJ
ejpam-6750	83	55	value	value	NOUN
ejpam-6750	83	56	of	of	ADP
ejpam-6750	83	57	the	the	DET
ejpam-6750	83	58	model	model	NOUN
ejpam-6750	83	59	parameters	parameter	NOUN
ejpam-6750	83	60	theorem	theorem	VERB
ejpam-6750	83	61	1	1	NUM
ejpam-6750	83	62	.	.	PUNCT
ejpam-6750	83	63	given	give	VERB
ejpam-6750	83	64	non	non	ADJ
ejpam-6750	83	65	-	-	ADJ
ejpam-6750	83	66	negative	negative	ADJ
ejpam-6750	83	67	initial	initial	ADJ
ejpam-6750	83	68	conditions	condition	NOUN
ejpam-6750	83	69	,	,	PUNCT
ejpam-6750	83	70	the	the	DET
ejpam-6750	83	71	solution	solution	NOUN
ejpam-6750	83	72	of	of	ADP
ejpam-6750	83	73	the	the	DET
ejpam-6750	83	74	seiqr	seiqr	ADJ
ejpam-6750	83	75	-	-	PUNCT
ejpam-6750	83	76	c	c	NOUN
ejpam-6750	83	77	model	model	NOUN
ejpam-6750	83	78	(	(	PUNCT
ejpam-6750	83	79	1	1	X
ejpam-6750	83	80	)	)	PUNCT
ejpam-6750	83	81	remains	remain	VERB
ejpam-6750	83	82	non	non	ADJ
ejpam-6750	83	83	-	-	ADJ
ejpam-6750	83	84	negative	negative	ADJ
ejpam-6750	83	85	for	for	ADP
ejpam-6750	83	86	all	all	DET
ejpam-6750	83	87	t	t	PROPN
ejpam-6750	83	88	≥	≥	NOUN
ejpam-6750	83	89	0	0	NUM
ejpam-6750	83	90	.	.	PUNCT
ejpam-6750	84	1	proof	proof	NOUN
ejpam-6750	84	2	.	.	PUNCT
ejpam-6750	85	1	assume	assume	VERB
ejpam-6750	85	2	that	that	SCONJ
ejpam-6750	85	3	s(0	s(0	PROPN
ejpam-6750	85	4	)	)	PUNCT
ejpam-6750	85	5	>	>	X
ejpam-6750	85	6	0	0	NUM
ejpam-6750	85	7	,	,	PUNCT
ejpam-6750	85	8	e(0	e(0	NOUN
ejpam-6750	85	9	)	)	PUNCT
ejpam-6750	85	10	≥	≥	NOUN
ejpam-6750	85	11	0	0	NUM
ejpam-6750	85	12	,	,	PUNCT
ejpam-6750	85	13	i(0	i(0	PROPN
ejpam-6750	85	14	)	)	PUNCT
ejpam-6750	85	15	≥	≥	NOUN
ejpam-6750	85	16	0	0	NUM
ejpam-6750	85	17	,	,	PUNCT
ejpam-6750	85	18	q(0	q(0	PROPN
ejpam-6750	85	19	)	)	PUNCT
ejpam-6750	85	20	≥	≥	NOUN
ejpam-6750	85	21	0	0	NUM
ejpam-6750	85	22	,	,	PUNCT
ejpam-6750	85	23	r(0	r(0	PROPN
ejpam-6750	85	24	)	)	PUNCT
ejpam-6750	85	25	≥	≥	NOUN
ejpam-6750	85	26	0	0	NUM
ejpam-6750	85	27	,	,	PUNCT
ejpam-6750	85	28	and	and	CCONJ
ejpam-6750	85	29	c(0	c(0	PROPN
ejpam-6750	85	30	)	)	PUNCT
ejpam-6750	85	31	≥	≥	NOUN
ejpam-6750	85	32	0	0	NUM
ejpam-6750	85	33	.	.	PUNCT
ejpam-6750	85	34	consider	consider	VERB
ejpam-6750	85	35	the	the	DET
ejpam-6750	85	36	first	first	ADJ
ejpam-6750	85	37	equation	equation	NOUN
ejpam-6750	85	38	of	of	ADP
ejpam-6750	85	39	the	the	DET
ejpam-6750	85	40	seiqr	seiqr	ADJ
ejpam-6750	85	41	-	-	PUNCT
ejpam-6750	85	42	c	c	NOUN
ejpam-6750	85	43	model	model	NOUN
ejpam-6750	85	44	(	(	PUNCT
ejpam-6750	85	45	1	1	X
ejpam-6750	85	46	)	)	PUNCT
ejpam-6750	85	47	ds	ds	ADJ
ejpam-6750	85	48	dt	dt	NOUN
ejpam-6750	85	49	=	=	SYM
ejpam-6750	85	50	λ−	λ−	PROPN
ejpam-6750	85	51	(	(	PUNCT
ejpam-6750	85	52	βhi	βhi	PROPN
ejpam-6750	85	53	+	+	NUM
ejpam-6750	85	54	βcc)s	βcc)s	SYM
ejpam-6750	85	55	−	−	ADP
ejpam-6750	85	56	µhs	µhs	NOUN
ejpam-6750	85	57	.	.	PUNCT
ejpam-6750	86	1	(	(	PUNCT
ejpam-6750	86	2	2	2	X
ejpam-6750	86	3	)	)	PUNCT
ejpam-6750	86	4	let	let	VERB
ejpam-6750	86	5	φs(t	φs(t	NOUN
ejpam-6750	86	6	)	)	PUNCT
ejpam-6750	86	7	=	=	SYM
ejpam-6750	87	1	βhi(t	βhi(t	X
ejpam-6750	87	2	)	)	PUNCT
ejpam-6750	87	3	+	+	NUM
ejpam-6750	87	4	βcc(t	βcc(t	PROPN
ejpam-6750	87	5	)	)	PUNCT
ejpam-6750	88	1	+	+	CCONJ
ejpam-6750	88	2	µh	µh	NOUN
ejpam-6750	88	3	,	,	PUNCT
ejpam-6750	88	4	and	and	CCONJ
ejpam-6750	88	5	define	define	VERB
ejpam-6750	88	6	the	the	DET
ejpam-6750	88	7	integrating	integrate	VERB
ejpam-6750	88	8	factor	factor	NOUN
ejpam-6750	88	9	θs(t	θs(t	PART
ejpam-6750	88	10	)	)	PUNCT
ejpam-6750	88	11	=	=	SYM
ejpam-6750	88	12	exp	exp	NOUN
ejpam-6750	88	13	(	(	PUNCT
ejpam-6750	88	14	∫	∫	PROPN
ejpam-6750	88	15	t	t	PROPN
ejpam-6750	88	16	0	0	NUM
ejpam-6750	88	17	φs(s)ds	φs(s)ds	NUM
ejpam-6750	88	18	)	)	PUNCT
ejpam-6750	88	19	.	.	PUNCT
ejpam-6750	89	1	(	(	PUNCT
ejpam-6750	89	2	3	3	X
ejpam-6750	89	3	)	)	PUNCT
ejpam-6750	89	4	multiply	multiply	ADP
ejpam-6750	89	5	both	both	DET
ejpam-6750	89	6	sides	side	NOUN
ejpam-6750	89	7	by	by	ADP
ejpam-6750	89	8	θs(t	θs(t	NOUN
ejpam-6750	89	9	)	)	PUNCT
ejpam-6750	89	10	and	and	CCONJ
ejpam-6750	89	11	applying	apply	VERB
ejpam-6750	89	12	the	the	DET
ejpam-6750	89	13	leibniz	leibniz	NOUN
ejpam-6750	89	14	rule	rule	NOUN
ejpam-6750	89	15	d	d	X
ejpam-6750	89	16	dt	dt	X
ejpam-6750	89	17	(	(	PUNCT
ejpam-6750	89	18	θs(t)s(t	θs(t)s(t	ADJ
ejpam-6750	89	19	)	)	PUNCT
ejpam-6750	89	20	)	)	PUNCT
ejpam-6750	90	1	=	=	PUNCT
ejpam-6750	90	2	λθs(t	λθs(t	PROPN
ejpam-6750	90	3	)	)	PUNCT
ejpam-6750	90	4	.	.	PUNCT
ejpam-6750	91	1	(	(	PUNCT
ejpam-6750	91	2	4	4	X
ejpam-6750	91	3	)	)	PUNCT
ejpam-6750	91	4	j.	j.	PROPN
ejpam-6750	91	5	a.	a.	PROPN
ejpam-6750	91	6	puebla	puebla	PROPN
ejpam-6750	91	7	jr	jr	PROPN
ejpam-6750	91	8	.	.	PROPN
ejpam-6750	91	9	/	/	SYM
ejpam-6750	91	10	eur	eur	PROPN
ejpam-6750	91	11	.	.	PUNCT
ejpam-6750	92	1	j.	j.	PROPN
ejpam-6750	92	2	pure	pure	PROPN
ejpam-6750	92	3	appl	appl	PROPN
ejpam-6750	92	4	.	.	PROPN
ejpam-6750	92	5	math	math	PROPN
ejpam-6750	92	6	,	,	PUNCT
ejpam-6750	92	7	18	18	NUM
ejpam-6750	92	8	(	(	PUNCT
ejpam-6750	92	9	4	4	NUM
ejpam-6750	92	10	)	)	PUNCT
ejpam-6750	92	11	(	(	PUNCT
ejpam-6750	92	12	2025	2025	NUM
ejpam-6750	92	13	)	)	PUNCT
ejpam-6750	92	14	,	,	PUNCT
ejpam-6750	92	15	6750	6750	NUM
ejpam-6750	92	16	6	6	NUM
ejpam-6750	92	17	of	of	ADP
ejpam-6750	92	18	19	19	NUM
ejpam-6750	92	19	integrating	integrate	VERB
ejpam-6750	92	20	from	from	ADP
ejpam-6750	92	21	0	0	NUM
ejpam-6750	92	22	to	to	ADP
ejpam-6750	92	23	t	t	PROPN
ejpam-6750	92	24	θs(t)s(t	θs(t)s(t	ADV
ejpam-6750	92	25	)	)	PUNCT
ejpam-6750	92	26	=	=	SYM
ejpam-6750	92	27	θs(0)s(0	θs(0)s(0	X
ejpam-6750	92	28	)	)	PUNCT
ejpam-6750	93	1	+	+	CCONJ
ejpam-6750	93	2	∫	∫	PROPN
ejpam-6750	93	3	t	t	PROPN
ejpam-6750	93	4	0	0	NUM
ejpam-6750	93	5	λθs(s)ds	λθs(s)ds	X
ejpam-6750	93	6	.	.	PUNCT
ejpam-6750	94	1	(	(	PUNCT
ejpam-6750	94	2	5	5	X
ejpam-6750	94	3	)	)	PUNCT
ejpam-6750	94	4	solve	solve	NOUN
ejpam-6750	94	5	for	for	ADP
ejpam-6750	94	6	s(t	s(t	PROPN
ejpam-6750	94	7	)	)	PUNCT
ejpam-6750	94	8	yields	yield	NOUN
ejpam-6750	94	9	s(t	s(t	PROPN
ejpam-6750	94	10	)	)	PUNCT
ejpam-6750	94	11	=	=	SYM
ejpam-6750	94	12	1	1	NUM
ejpam-6750	94	13	θs(t	θs(t	NUM
ejpam-6750	94	14	)	)	PUNCT
ejpam-6750	94	15	(	(	PUNCT
ejpam-6750	94	16	θs(0)s(0	θs(0)s(0	ADV
ejpam-6750	94	17	)	)	PUNCT
ejpam-6750	95	1	+	+	CCONJ
ejpam-6750	95	2	∫	∫	PROPN
ejpam-6750	95	3	t	t	NOUN
ejpam-6750	95	4	0	0	NUM
ejpam-6750	95	5	λθs(s)ds	λθs(s)ds	PUNCT
ejpam-6750	95	6	)	)	PUNCT
ejpam-6750	95	7	.	.	PUNCT
ejpam-6750	96	1	(	(	PUNCT
ejpam-6750	96	2	6	6	NUM
ejpam-6750	96	3	)	)	PUNCT
ejpam-6750	96	4	since	since	SCONJ
ejpam-6750	96	5	λ	λ	PROPN
ejpam-6750	96	6	>	>	X
ejpam-6750	96	7	0	0	PROPN
ejpam-6750	96	8	and	and	CCONJ
ejpam-6750	96	9	s(0	s(0	PROPN
ejpam-6750	96	10	)	)	PUNCT
ejpam-6750	96	11	>	>	X
ejpam-6750	96	12	0	0	NUM
ejpam-6750	96	13	,	,	PUNCT
ejpam-6750	96	14	it	it	PRON
ejpam-6750	96	15	implies	imply	VERB
ejpam-6750	96	16	that	that	SCONJ
ejpam-6750	96	17	s(t	s(t	PROPN
ejpam-6750	96	18	)	)	PUNCT
ejpam-6750	96	19	≥	≥	NOUN
ejpam-6750	96	20	0	0	NUM
ejpam-6750	96	21	for	for	ADP
ejpam-6750	96	22	all	all	DET
ejpam-6750	96	23	t	t	PROPN
ejpam-6750	96	24	≥	≥	NOUN
ejpam-6750	96	25	0	0	NUM
ejpam-6750	96	26	.	.	PUNCT
ejpam-6750	97	1	from	from	ADP
ejpam-6750	97	2	the	the	DET
ejpam-6750	97	3	second	second	ADJ
ejpam-6750	97	4	equation	equation	NOUN
ejpam-6750	97	5	of	of	ADP
ejpam-6750	97	6	the	the	DET
ejpam-6750	97	7	seiqr	seiqr	ADJ
ejpam-6750	97	8	-	-	PUNCT
ejpam-6750	97	9	c	c	NOUN
ejpam-6750	97	10	model	model	NOUN
ejpam-6750	97	11	(	(	PUNCT
ejpam-6750	97	12	1	1	NUM
ejpam-6750	97	13	)	)	PUNCT
ejpam-6750	97	14	,	,	PUNCT
ejpam-6750	97	15	we	we	PRON
ejpam-6750	97	16	get	get	VERB
ejpam-6750	97	17	de	de	X
ejpam-6750	97	18	dt	dt	X
ejpam-6750	98	1	+	+	CCONJ
ejpam-6750	98	2	(	(	PUNCT
ejpam-6750	98	3	γ	γ	X
ejpam-6750	98	4	+	+	PROPN
ejpam-6750	98	5	µh)e	µh)e	PROPN
ejpam-6750	98	6	=	=	SYM
ejpam-6750	98	7	(	(	PUNCT
ejpam-6750	98	8	βhi	βhi	PROPN
ejpam-6750	98	9	+	+	ADJ
ejpam-6750	98	10	βcc)s	βcc)s	PROPN
ejpam-6750	98	11	.	.	PUNCT
ejpam-6750	99	1	(	(	PUNCT
ejpam-6750	99	2	7	7	X
ejpam-6750	99	3	)	)	PUNCT
ejpam-6750	99	4	define	define	VERB
ejpam-6750	99	5	the	the	DET
ejpam-6750	99	6	integrating	integrating	NOUN
ejpam-6750	99	7	factor	factor	NOUN
ejpam-6750	99	8	,	,	PUNCT
ejpam-6750	99	9	θe(t	θe(t	PUNCT
ejpam-6750	99	10	)	)	PUNCT
ejpam-6750	99	11	=	=	SYM
ejpam-6750	99	12	e(γ+µh)t	e(γ+µh)t	NOUN
ejpam-6750	99	13	.	.	PUNCT
ejpam-6750	100	1	multiply	multiply	VERB
ejpam-6750	100	2	both	both	DET
ejpam-6750	100	3	sides	side	NOUN
ejpam-6750	100	4	by	by	ADP
ejpam-6750	100	5	θe(t	θe(t	NOUN
ejpam-6750	100	6	)	)	PUNCT
ejpam-6750	100	7	and	and	CCONJ
ejpam-6750	100	8	applying	apply	VERB
ejpam-6750	100	9	leibniz	leibniz	NOUN
ejpam-6750	100	10	rule	rule	NOUN
ejpam-6750	100	11	d	d	PROPN
ejpam-6750	100	12	dt	dt	X
ejpam-6750	100	13	(	(	PUNCT
ejpam-6750	100	14	θe(t)e(t	θe(t)e(t	PROPN
ejpam-6750	100	15	)	)	PUNCT
ejpam-6750	100	16	)	)	PUNCT
ejpam-6750	101	1	=	=	PUNCT
ejpam-6750	101	2	(	(	PUNCT
ejpam-6750	101	3	βhi	βhi	PROPN
ejpam-6750	101	4	+	+	CCONJ
ejpam-6750	101	5	βcc)sθe(t	βcc)sθe(t	ADJ
ejpam-6750	101	6	)	)	PUNCT
ejpam-6750	101	7	.	.	PUNCT
ejpam-6750	102	1	(	(	PUNCT
ejpam-6750	102	2	8)	8)	NUM
ejpam-6750	102	3	integrating	integrate	VERB
ejpam-6750	102	4	from	from	ADP
ejpam-6750	102	5	0	0	NUM
ejpam-6750	102	6	to	to	ADP
ejpam-6750	102	7	t	t	NOUN
ejpam-6750	102	8	and	and	CCONJ
ejpam-6750	102	9	solve	solve	VERB
ejpam-6750	102	10	for	for	ADP
ejpam-6750	102	11	e(t	e(t	NOUN
ejpam-6750	102	12	)	)	PUNCT
ejpam-6750	102	13	,	,	PUNCT
ejpam-6750	102	14	that	that	PRON
ejpam-6750	102	15	is	be	AUX
ejpam-6750	102	16	e(t	e(t	NOUN
ejpam-6750	102	17	)	)	PUNCT
ejpam-6750	103	1	=	=	SYM
ejpam-6750	103	2	1	1	NUM
ejpam-6750	103	3	θe(t	θe(t	NOUN
ejpam-6750	103	4	)	)	PUNCT
ejpam-6750	103	5	[	[	PUNCT
ejpam-6750	103	6	e(0	e(0	NOUN
ejpam-6750	103	7	)	)	PUNCT
ejpam-6750	104	1	+	+	CCONJ
ejpam-6750	105	1	∫	∫	PROPN
ejpam-6750	105	2	t	t	PROPN
ejpam-6750	105	3	0	0	NUM
ejpam-6750	105	4	(	(	PUNCT
ejpam-6750	105	5	βhi(s	βhi(s	X
ejpam-6750	105	6	)	)	PUNCT
ejpam-6750	105	7	+	+	NUM
ejpam-6750	105	8	βcc(s))s(s	βcc(s))s(s	X
ejpam-6750	105	9	)	)	PUNCT
ejpam-6750	105	10	θe(s	θe(s	X
ejpam-6750	105	11	)	)	PUNCT
ejpam-6750	105	12	ds	ds	X
ejpam-6750	105	13	]	]	PUNCT
ejpam-6750	105	14	≥	≥	NOUN
ejpam-6750	105	15	0	0	NUM
ejpam-6750	105	16	.	.	PUNCT
ejpam-6750	106	1	(	(	PUNCT
ejpam-6750	106	2	9	9	X
ejpam-6750	106	3	)	)	PUNCT
ejpam-6750	106	4	a	a	DET
ejpam-6750	106	5	similar	similar	ADJ
ejpam-6750	106	6	method	method	NOUN
ejpam-6750	106	7	is	be	AUX
ejpam-6750	106	8	applied	apply	VERB
ejpam-6750	106	9	to	to	ADP
ejpam-6750	106	10	the	the	DET
ejpam-6750	106	11	remaining	remain	VERB
ejpam-6750	106	12	compartmental	compartmental	ADJ
ejpam-6750	106	13	variables	variable	NOUN
ejpam-6750	106	14	of	of	ADP
ejpam-6750	106	15	the	the	DET
ejpam-6750	106	16	equations	equation	NOUN
ejpam-6750	106	17	in	in	ADP
ejpam-6750	106	18	the	the	DET
ejpam-6750	106	19	seiqr	seiqr	ADJ
ejpam-6750	106	20	-	-	PUNCT
ejpam-6750	106	21	c	c	NOUN
ejpam-6750	106	22	model	model	NOUN
ejpam-6750	106	23	(	(	PUNCT
ejpam-6750	106	24	1	1	NUM
ejpam-6750	106	25	)	)	PUNCT
ejpam-6750	106	26	.	.	PUNCT
ejpam-6750	107	1	i(t	i(t	NOUN
ejpam-6750	107	2	)	)	PUNCT
ejpam-6750	107	3	=	=	SYM
ejpam-6750	107	4	1	1	NUM
ejpam-6750	107	5	e(γ0+θ+µh)t	e(γ0+θ+µh)t	NOUN
ejpam-6750	107	6	[	[	PUNCT
ejpam-6750	107	7	i(0	i(0	PROPN
ejpam-6750	107	8	)	)	PUNCT
ejpam-6750	108	1	+	+	CCONJ
ejpam-6750	108	2	∫	∫	PROPN
ejpam-6750	108	3	t	t	PROPN
ejpam-6750	108	4	0	0	NUM
ejpam-6750	108	5	γe(s	γe(s	NUM
ejpam-6750	108	6	)	)	PUNCT
ejpam-6750	108	7	e(γ0+θ+µh)s	e(γ0+θ+µh)s	NOUN
ejpam-6750	108	8	ds	ds	NOUN
ejpam-6750	108	9	]	]	PUNCT
ejpam-6750	108	10	≥	≥	X
ejpam-6750	108	11	0	0	NUM
ejpam-6750	108	12	(	(	PUNCT
ejpam-6750	108	13	10	10	NUM
ejpam-6750	108	14	)	)	PUNCT
ejpam-6750	108	15	q(t	q(t	PROPN
ejpam-6750	108	16	)	)	PUNCT
ejpam-6750	108	17	=	=	SYM
ejpam-6750	108	18	1	1	NUM
ejpam-6750	108	19	e(γq+µh)t	e(γq+µh)t	PROPN
ejpam-6750	108	20	[	[	PUNCT
ejpam-6750	108	21	q(0	q(0	NOUN
ejpam-6750	108	22	)	)	PUNCT
ejpam-6750	108	23	+	+	NUM
ejpam-6750	108	24	∫	∫	PROPN
ejpam-6750	108	25	t	t	PROPN
ejpam-6750	108	26	0	0	NUM
ejpam-6750	108	27	θi(s	θi(s	NUM
ejpam-6750	108	28	)	)	PUNCT
ejpam-6750	108	29	e(γq+µh)s	e(γq+µh)s	PROPN
ejpam-6750	108	30	ds	ds	NOUN
ejpam-6750	108	31	]	]	PUNCT
ejpam-6750	108	32	≥	≥	X
ejpam-6750	108	33	0	0	NUM
ejpam-6750	108	34	(	(	PUNCT
ejpam-6750	108	35	11	11	NUM
ejpam-6750	108	36	)	)	PUNCT
ejpam-6750	108	37	r(t	r(t	NOUN
ejpam-6750	108	38	)	)	PUNCT
ejpam-6750	108	39	=	=	SYM
ejpam-6750	108	40	1	1	NUM
ejpam-6750	108	41	eµht	eµht	NOUN
ejpam-6750	108	42	[	[	PUNCT
ejpam-6750	108	43	r(0	r(0	PROPN
ejpam-6750	108	44	)	)	PUNCT
ejpam-6750	108	45	+	+	CCONJ
ejpam-6750	108	46	∫	∫	PROPN
ejpam-6750	108	47	t	t	PROPN
ejpam-6750	108	48	0	0	NUM
ejpam-6750	108	49	(	(	PUNCT
ejpam-6750	108	50	γ0i(s	γ0i(s	PROPN
ejpam-6750	108	51	)	)	PUNCT
ejpam-6750	108	52	+	+	X
ejpam-6750	109	1	γqq(s	γqq(s	ADV
ejpam-6750	109	2	)	)	PUNCT
ejpam-6750	109	3	)	)	PUNCT
ejpam-6750	109	4	eµhs	eµhs	PROPN
ejpam-6750	109	5	ds	ds	PROPN
ejpam-6750	109	6	]	]	PUNCT
ejpam-6750	109	7	≥	≥	X
ejpam-6750	109	8	0	0	NUM
ejpam-6750	109	9	(	(	PUNCT
ejpam-6750	109	10	12	12	NUM
ejpam-6750	109	11	)	)	PUNCT
ejpam-6750	109	12	c(t	c(t	PROPN
ejpam-6750	109	13	)	)	PUNCT
ejpam-6750	109	14	=	=	SYM
ejpam-6750	109	15	1	1	NUM
ejpam-6750	109	16	eµpt	eµpt	NOUN
ejpam-6750	109	17	[	[	PUNCT
ejpam-6750	109	18	c(0	c(0	NOUN
ejpam-6750	109	19	)	)	PUNCT
ejpam-6750	110	1	+	+	CCONJ
ejpam-6750	110	2	∫	∫	PROPN
ejpam-6750	110	3	t	t	PROPN
ejpam-6750	110	4	0	0	NUM
ejpam-6750	110	5	αi(s	αi(s	NUM
ejpam-6750	110	6	)	)	PUNCT
ejpam-6750	110	7	µps	µps	VERB
ejpam-6750	110	8	ds	ds	X
ejpam-6750	110	9	]	]	PUNCT
ejpam-6750	110	10	≥	≥	X
ejpam-6750	110	11	0	0	NUM
ejpam-6750	110	12	(	(	PUNCT
ejpam-6750	110	13	13	13	NUM
ejpam-6750	110	14	)	)	PUNCT
ejpam-6750	110	15	thus	thus	ADV
ejpam-6750	110	16	,	,	PUNCT
ejpam-6750	110	17	the	the	DET
ejpam-6750	110	18	solution	solution	NOUN
ejpam-6750	110	19	of	of	ADP
ejpam-6750	110	20	the	the	DET
ejpam-6750	110	21	seiqr	seiqr	ADJ
ejpam-6750	110	22	-	-	PUNCT
ejpam-6750	110	23	c	c	NOUN
ejpam-6750	110	24	model	model	NOUN
ejpam-6750	110	25	(	(	PUNCT
ejpam-6750	110	26	1	1	X
ejpam-6750	110	27	)	)	PUNCT
ejpam-6750	110	28	remains	remain	VERB
ejpam-6750	110	29	non	non	ADJ
ejpam-6750	110	30	-	-	ADJ
ejpam-6750	110	31	negative	negative	ADJ
ejpam-6750	110	32	for	for	ADP
ejpam-6750	110	33	all	all	DET
ejpam-6750	110	34	t	t	PROPN
ejpam-6750	110	35	≥	≥	NOUN
ejpam-6750	110	36	0	0	PUNCT
ejpam-6750	111	1	■	■	PUNCT
ejpam-6750	111	2	theorem	theorem	ADJ
ejpam-6750	111	3	2	2	NUM
ejpam-6750	111	4	.	.	PUNCT
ejpam-6750	112	1	the	the	DET
ejpam-6750	112	2	solutions	solution	NOUN
ejpam-6750	112	3	of	of	ADP
ejpam-6750	112	4	the	the	DET
ejpam-6750	112	5	seiqr	seiqr	ADJ
ejpam-6750	112	6	-	-	PUNCT
ejpam-6750	112	7	c	c	NOUN
ejpam-6750	112	8	model	model	NOUN
ejpam-6750	112	9	(	(	PUNCT
ejpam-6750	112	10	1	1	X
ejpam-6750	112	11	)	)	PUNCT
ejpam-6750	112	12	are	be	AUX
ejpam-6750	112	13	bounded	bound	VERB
ejpam-6750	112	14	in	in	ADP
ejpam-6750	112	15	the	the	DET
ejpam-6750	112	16	region	region	NOUN
ejpam-6750	112	17	ω	ω	PROPN
ejpam-6750	112	18	=	=	SYM
ejpam-6750	112	19	{	{	PUNCT
ejpam-6750	112	20	(	(	PUNCT
ejpam-6750	112	21	s	s	X
ejpam-6750	112	22	,	,	PUNCT
ejpam-6750	112	23	e	e	NOUN
ejpam-6750	112	24	,	,	PUNCT
ejpam-6750	112	25	i	i	PRON
ejpam-6750	112	26	,	,	PUNCT
ejpam-6750	112	27	q	q	NOUN
ejpam-6750	112	28	,	,	PUNCT
ejpam-6750	112	29	r	r	NOUN
ejpam-6750	112	30	,	,	PUNCT
ejpam-6750	112	31	c	c	NOUN
ejpam-6750	112	32	)	)	PUNCT
ejpam-6750	112	33	∈	∈	NOUN
ejpam-6750	112	34	r6	r6	NOUN
ejpam-6750	113	1	+	+	CCONJ
ejpam-6750	113	2	:	:	PUNCT
ejpam-6750	113	3	s	s	X
ejpam-6750	113	4	+	+	X
ejpam-6750	113	5	e	e	NOUN
ejpam-6750	114	1	+	+	CCONJ
ejpam-6750	114	2	i	i	PRON
ejpam-6750	114	3	+	+	VERB
ejpam-6750	114	4	q+r	q+r	VERB
ejpam-6750	114	5	≤	≤	NUM
ejpam-6750	114	6	λ	λ	NOUN
ejpam-6750	114	7	µh	µh	INTJ
ejpam-6750	114	8	,	,	PUNCT
ejpam-6750	114	9	c	c	PROPN
ejpam-6750	114	10	≤	≤	NOUN
ejpam-6750	114	11	αλ	αλ	NUM
ejpam-6750	114	12	µhµp	µhµp	NOUN
ejpam-6750	114	13	}	}	PUNCT
ejpam-6750	114	14	.	.	PUNCT
ejpam-6750	115	1	j.	j.	PROPN
ejpam-6750	115	2	a.	a.	PROPN
ejpam-6750	115	3	puebla	puebla	PROPN
ejpam-6750	115	4	jr	jr	PROPN
ejpam-6750	115	5	.	.	PROPN
ejpam-6750	115	6	/	/	SYM
ejpam-6750	115	7	eur	eur	PROPN
ejpam-6750	115	8	.	.	PUNCT
ejpam-6750	116	1	j.	j.	PROPN
ejpam-6750	116	2	pure	pure	PROPN
ejpam-6750	116	3	appl	appl	PROPN
ejpam-6750	116	4	.	.	PROPN
ejpam-6750	116	5	math	math	PROPN
ejpam-6750	116	6	,	,	PUNCT
ejpam-6750	116	7	18	18	NUM
ejpam-6750	116	8	(	(	PUNCT
ejpam-6750	116	9	4	4	NUM
ejpam-6750	116	10	)	)	PUNCT
ejpam-6750	116	11	(	(	PUNCT
ejpam-6750	116	12	2025	2025	NUM
ejpam-6750	116	13	)	)	PUNCT
ejpam-6750	116	14	,	,	PUNCT
ejpam-6750	116	15	6750	6750	NUM
ejpam-6750	116	16	7	7	NUM
ejpam-6750	116	17	of	of	ADP
ejpam-6750	116	18	19	19	NUM
ejpam-6750	116	19	proof	proof	NOUN
ejpam-6750	116	20	.	.	PUNCT
ejpam-6750	117	1	define	define	VERB
ejpam-6750	117	2	the	the	DET
ejpam-6750	117	3	total	total	ADJ
ejpam-6750	117	4	human	human	ADJ
ejpam-6750	117	5	population	population	NOUN
ejpam-6750	117	6	as	as	ADP
ejpam-6750	117	7	n(t	n(t	PROPN
ejpam-6750	117	8	)	)	PUNCT
ejpam-6750	117	9	=	=	SYM
ejpam-6750	117	10	s(t	s(t	PROPN
ejpam-6750	117	11	)	)	PUNCT
ejpam-6750	118	1	+	+	NOUN
ejpam-6750	118	2	e(t	e(t	NOUN
ejpam-6750	118	3	)	)	PUNCT
ejpam-6750	118	4	+	+	CCONJ
ejpam-6750	118	5	i(t	i(t	NOUN
ejpam-6750	118	6	)	)	PUNCT
ejpam-6750	119	1	+	+	NOUN
ejpam-6750	119	2	q(t	q(t	ADJ
ejpam-6750	119	3	)	)	PUNCT
ejpam-6750	119	4	+	+	NOUN
ejpam-6750	119	5	r(t	r(t	NOUN
ejpam-6750	119	6	)	)	PUNCT
ejpam-6750	119	7	.	.	PUNCT
ejpam-6750	120	1	adding	add	VERB
ejpam-6750	120	2	the	the	DET
ejpam-6750	120	3	first	first	ADJ
ejpam-6750	120	4	five	five	NUM
ejpam-6750	120	5	equations	equation	NOUN
ejpam-6750	120	6	of	of	ADP
ejpam-6750	120	7	the	the	DET
ejpam-6750	120	8	seiqr	seiqr	ADJ
ejpam-6750	120	9	-	-	PUNCT
ejpam-6750	120	10	c	c	NOUN
ejpam-6750	120	11	model	model	NOUN
ejpam-6750	120	12	gives	give	VERB
ejpam-6750	120	13	dn	dn	ADP
ejpam-6750	120	14	dt	dt	NOUN
ejpam-6750	120	15	=	=	PUNCT
ejpam-6750	120	16	λ−	λ−	PROPN
ejpam-6750	120	17	µhn(t	µhn(t	PROPN
ejpam-6750	120	18	)	)	PUNCT
ejpam-6750	120	19	.	.	PUNCT
ejpam-6750	121	1	(	(	PUNCT
ejpam-6750	121	2	14	14	X
ejpam-6750	121	3	)	)	PUNCT
ejpam-6750	121	4	multiplying	multiply	VERB
ejpam-6750	121	5	both	both	DET
ejpam-6750	121	6	sides	side	NOUN
ejpam-6750	121	7	by	by	ADP
ejpam-6750	121	8	the	the	DET
ejpam-6750	121	9	integrating	integrate	VERB
ejpam-6750	121	10	factor	factor	NOUN
ejpam-6750	121	11	eµht	eµht	NOUN
ejpam-6750	121	12	yields	yield	NOUN
ejpam-6750	121	13	d	d	X
ejpam-6750	121	14	dt	dt	X
ejpam-6750	121	15	(	(	PUNCT
ejpam-6750	121	16	n(t)eµht	n(t)eµht	ADV
ejpam-6750	121	17	)	)	PUNCT
ejpam-6750	121	18	=	=	PUNCT
ejpam-6750	122	1	λeµht	λeµht	NOUN
ejpam-6750	122	2	.	.	PUNCT
ejpam-6750	123	1	(	(	PUNCT
ejpam-6750	123	2	15	15	X
ejpam-6750	123	3	)	)	PUNCT
ejpam-6750	123	4	integrating	integrate	VERB
ejpam-6750	123	5	both	both	DET
ejpam-6750	123	6	sides	side	NOUN
ejpam-6750	123	7	gives	give	VERB
ejpam-6750	123	8	n(t	n(t	PRON
ejpam-6750	123	9	)	)	PUNCT
ejpam-6750	123	10	=	=	PUNCT
ejpam-6750	124	1	(	(	PUNCT
ejpam-6750	124	2	n(0)−	n(0)−	PROPN
ejpam-6750	124	3	λ	λ	PROPN
ejpam-6750	124	4	µh	µh	NOUN
ejpam-6750	124	5	)	)	PUNCT
ejpam-6750	124	6	e−µht	e−µht	ADV
ejpam-6750	125	1	+	+	CCONJ
ejpam-6750	125	2	λ	λ	X
ejpam-6750	125	3	µh	µh	INTJ
ejpam-6750	125	4	.	.	PUNCT
ejpam-6750	126	1	(	(	PUNCT
ejpam-6750	126	2	16	16	NUM
ejpam-6750	126	3	)	)	PUNCT
ejpam-6750	126	4	since	since	SCONJ
ejpam-6750	126	5	µh	µh	ADV
ejpam-6750	126	6	>	>	X
ejpam-6750	126	7	0	0	NUM
ejpam-6750	126	8	,	,	PUNCT
ejpam-6750	126	9	we	we	PRON
ejpam-6750	126	10	conclude	conclude	VERB
ejpam-6750	126	11	that	that	SCONJ
ejpam-6750	126	12	n(t	n(t	PROPN
ejpam-6750	126	13	)	)	PUNCT
ejpam-6750	126	14	≤	≤	NOUN
ejpam-6750	126	15	max{n(0	max{n(0	NOUN
ejpam-6750	126	16	)	)	PUNCT
ejpam-6750	126	17	,	,	PUNCT
ejpam-6750	127	1	λ	λ	X
ejpam-6750	127	2	µh	µh	X
ejpam-6750	127	3	}	}	PUNCT
ejpam-6750	127	4	for	for	ADP
ejpam-6750	127	5	all	all	DET
ejpam-6750	127	6	t	t	PROPN
ejpam-6750	127	7	≥	≥	NOUN
ejpam-6750	127	8	0	0	NUM
ejpam-6750	127	9	,	,	PUNCT
ejpam-6750	127	10	and	and	CCONJ
ejpam-6750	127	11	limt→∞n(t	limt→∞n(t	PROPN
ejpam-6750	127	12	)	)	PUNCT
ejpam-6750	127	13	=	=	PUNCT
ejpam-6750	128	1	λ	λ	INTJ
ejpam-6750	128	2	µh	µh	INTJ
ejpam-6750	128	3	.	.	PUNCT
ejpam-6750	129	1	thus	thus	ADV
ejpam-6750	129	2	,	,	PUNCT
ejpam-6750	129	3	the	the	DET
ejpam-6750	129	4	total	total	ADJ
ejpam-6750	129	5	human	human	ADJ
ejpam-6750	129	6	population	population	NOUN
ejpam-6750	129	7	is	be	AUX
ejpam-6750	129	8	bounded	bound	VERB
ejpam-6750	129	9	.	.	PUNCT
ejpam-6750	130	1	now	now	ADV
ejpam-6750	130	2	consider	consider	VERB
ejpam-6750	130	3	the	the	DET
ejpam-6750	130	4	viral	viral	ADJ
ejpam-6750	130	5	concentration	concentration	NOUN
ejpam-6750	130	6	on	on	ADP
ejpam-6750	130	7	contaminated	contaminate	VERB
ejpam-6750	130	8	surfaces	surface	NOUN
ejpam-6750	130	9	c(t	c(t	PROPN
ejpam-6750	130	10	)	)	PUNCT
ejpam-6750	130	11	,	,	PUNCT
ejpam-6750	130	12	which	which	PRON
ejpam-6750	130	13	satisfies	satisfy	VERB
ejpam-6750	130	14	dc	dc	PROPN
ejpam-6750	130	15	dt	dt	PROPN
ejpam-6750	131	1	=	=	PUNCT
ejpam-6750	131	2	αi	αi	PROPN
ejpam-6750	131	3	−	−	NOUN
ejpam-6750	131	4	µpc	µpc	NOUN
ejpam-6750	131	5	.	.	PUNCT
ejpam-6750	132	1	(	(	PUNCT
ejpam-6750	132	2	17	17	NUM
ejpam-6750	132	3	)	)	PUNCT
ejpam-6750	132	4	since	since	SCONJ
ejpam-6750	132	5	i(t	i(t	NOUN
ejpam-6750	132	6	)	)	PUNCT
ejpam-6750	132	7	≤	≤	NOUN
ejpam-6750	132	8	n(t	n(t	PROPN
ejpam-6750	132	9	)	)	PUNCT
ejpam-6750	132	10	≤	≤	NOUN
ejpam-6750	133	1	λ/µh	λ/µh	NOUN
ejpam-6750	133	2	,	,	PUNCT
ejpam-6750	133	3	we	we	PRON
ejpam-6750	133	4	obtain	obtain	VERB
ejpam-6750	133	5	dc	dc	PROPN
ejpam-6750	133	6	dt	dt	DET
ejpam-6750	133	7	≤	≤	ADV
ejpam-6750	133	8	α	α	X
ejpam-6750	134	1	·	·	PUNCT
ejpam-6750	134	2	λ	λ	INTJ
ejpam-6750	134	3	µh	µh	NOUN
ejpam-6750	134	4	−	−	PROPN
ejpam-6750	134	5	µpc	µpc	PROPN
ejpam-6750	134	6	.	.	PUNCT
ejpam-6750	135	1	(	(	PUNCT
ejpam-6750	135	2	18	18	NUM
ejpam-6750	135	3	)	)	PUNCT
ejpam-6750	135	4	multiplying	multiplying	NOUN
ejpam-6750	135	5	by	by	ADP
ejpam-6750	135	6	the	the	DET
ejpam-6750	135	7	integrating	integrating	NOUN
ejpam-6750	135	8	factor	factor	NOUN
ejpam-6750	135	9	eµpt	eµpt	PROPN
ejpam-6750	135	10	,	,	PUNCT
ejpam-6750	135	11	we	we	PRON
ejpam-6750	135	12	get	get	VERB
ejpam-6750	135	13	d	d	X
ejpam-6750	135	14	dt	dt	X
ejpam-6750	135	15	(	(	PUNCT
ejpam-6750	135	16	c(t)eµpt	c(t)eµpt	X
ejpam-6750	135	17	)	)	PUNCT
ejpam-6750	135	18	≤	≤	NOUN
ejpam-6750	136	1	α	α	X
ejpam-6750	136	2	·	·	PUNCT
ejpam-6750	136	3	λ	λ	X
ejpam-6750	136	4	µh	µh	NOUN
ejpam-6750	136	5	eµpt	eµpt	PROPN
ejpam-6750	136	6	.	.	PUNCT
ejpam-6750	137	1	(	(	PUNCT
ejpam-6750	137	2	19	19	NUM
ejpam-6750	137	3	)	)	PUNCT
ejpam-6750	137	4	solving	solve	VERB
ejpam-6750	137	5	this	this	DET
ejpam-6750	137	6	inequality	inequality	NOUN
ejpam-6750	137	7	,	,	PUNCT
ejpam-6750	137	8	we	we	PRON
ejpam-6750	137	9	find	find	VERB
ejpam-6750	137	10	c(t	c(t	NOUN
ejpam-6750	137	11	)	)	PUNCT
ejpam-6750	137	12	≤	≤	NOUN
ejpam-6750	137	13	(	(	PUNCT
ejpam-6750	137	14	c(0)−	c(0)−	NOUN
ejpam-6750	137	15	αλ	αλ	PRON
ejpam-6750	137	16	µhµp	µhµp	NOUN
ejpam-6750	137	17	)	)	PUNCT
ejpam-6750	137	18	e−µpt	e−µpt	NOUN
ejpam-6750	137	19	+	+	CCONJ
ejpam-6750	138	1	αλ	αλ	NUM
ejpam-6750	138	2	µhµp	µhµp	NOUN
ejpam-6750	138	3	,	,	PUNCT
ejpam-6750	138	4	(	(	PUNCT
ejpam-6750	138	5	20	20	NUM
ejpam-6750	138	6	)	)	PUNCT
ejpam-6750	138	7	and	and	CCONJ
ejpam-6750	138	8	therefore	therefore	ADV
ejpam-6750	138	9	,	,	PUNCT
ejpam-6750	138	10	lim	lim	PROPN
ejpam-6750	138	11	sup	sup	NOUN
ejpam-6750	138	12	t→∞	t→∞	NUM
ejpam-6750	138	13	c(t	c(t	PROPN
ejpam-6750	138	14	)	)	PUNCT
ejpam-6750	138	15	≤	≤	NOUN
ejpam-6750	138	16	αλ	αλ	NUM
ejpam-6750	138	17	µhµp	µhµp	NOUN
ejpam-6750	138	18	.	.	PUNCT
ejpam-6750	139	1	(	(	PUNCT
ejpam-6750	139	2	21	21	NUM
ejpam-6750	139	3	)	)	PUNCT
ejpam-6750	139	4	hence	hence	ADV
ejpam-6750	139	5	,	,	PUNCT
ejpam-6750	139	6	all	all	DET
ejpam-6750	139	7	state	state	NOUN
ejpam-6750	139	8	variables	variable	NOUN
ejpam-6750	139	9	of	of	ADP
ejpam-6750	139	10	the	the	DET
ejpam-6750	139	11	seiqr	seiqr	ADJ
ejpam-6750	139	12	-	-	PUNCT
ejpam-6750	139	13	c	c	NOUN
ejpam-6750	139	14	model	model	NOUN
ejpam-6750	139	15	remain	remain	VERB
ejpam-6750	139	16	bounded	bounded	ADJ
ejpam-6750	139	17	for	for	ADP
ejpam-6750	139	18	all	all	DET
ejpam-6750	139	19	t	t	PROPN
ejpam-6750	139	20	≥	≥	NOUN
ejpam-6750	139	21	0	0	NUM
ejpam-6750	139	22	,	,	PUNCT
ejpam-6750	139	23	and	and	CCONJ
ejpam-6750	139	24	the	the	DET
ejpam-6750	139	25	solution	solution	NOUN
ejpam-6750	139	26	trajectories	trajectory	NOUN
ejpam-6750	139	27	are	be	AUX
ejpam-6750	139	28	contained	contain	VERB
ejpam-6750	139	29	in	in	ADP
ejpam-6750	139	30	the	the	DET
ejpam-6750	139	31	compact	compact	ADJ
ejpam-6750	139	32	,	,	PUNCT
ejpam-6750	139	33	positively	positively	ADV
ejpam-6750	139	34	invariant	invariant	ADJ
ejpam-6750	139	35	region	region	NOUN
ejpam-6750	139	36	ω	ω	PROPN
ejpam-6750	139	37	=	=	SYM
ejpam-6750	139	38	{	{	PUNCT
ejpam-6750	139	39	(	(	PUNCT
ejpam-6750	139	40	s	s	X
ejpam-6750	139	41	,	,	PUNCT
ejpam-6750	139	42	e	e	NOUN
ejpam-6750	139	43	,	,	PUNCT
ejpam-6750	139	44	i	i	PRON
ejpam-6750	139	45	,	,	PUNCT
ejpam-6750	139	46	q	q	NOUN
ejpam-6750	139	47	,	,	PUNCT
ejpam-6750	139	48	r	r	NOUN
ejpam-6750	139	49	,	,	PUNCT
ejpam-6750	139	50	c	c	NOUN
ejpam-6750	139	51	)	)	PUNCT
ejpam-6750	139	52	∈	∈	NOUN
ejpam-6750	139	53	r6	r6	NOUN
ejpam-6750	140	1	+	+	CCONJ
ejpam-6750	140	2	:	:	PUNCT
ejpam-6750	140	3	s	s	X
ejpam-6750	140	4	+	+	X
ejpam-6750	140	5	e	e	NOUN
ejpam-6750	141	1	+	+	CCONJ
ejpam-6750	141	2	i	i	PRON
ejpam-6750	141	3	+	+	VERB
ejpam-6750	141	4	q+r	q+r	VERB
ejpam-6750	141	5	≤	≤	NUM
ejpam-6750	141	6	λ	λ	NOUN
ejpam-6750	141	7	µh	µh	INTJ
ejpam-6750	141	8	,	,	PUNCT
ejpam-6750	141	9	c	c	PROPN
ejpam-6750	141	10	≤	≤	NOUN
ejpam-6750	141	11	αλ	αλ	NUM
ejpam-6750	141	12	µhµp	µhµp	NOUN
ejpam-6750	141	13	}	}	PUNCT
ejpam-6750	141	14	.	.	PUNCT
ejpam-6750	142	1	■	■	PUNCT
ejpam-6750	142	2	j.	j.	PROPN
ejpam-6750	142	3	a.	a.	PROPN
ejpam-6750	142	4	puebla	puebla	PROPN
ejpam-6750	142	5	jr	jr	PROPN
ejpam-6750	142	6	.	.	PROPN
ejpam-6750	142	7	/	/	SYM
ejpam-6750	142	8	eur	eur	PROPN
ejpam-6750	142	9	.	.	PUNCT
ejpam-6750	143	1	j.	j.	PROPN
ejpam-6750	143	2	pure	pure	PROPN
ejpam-6750	143	3	appl	appl	PROPN
ejpam-6750	143	4	.	.	PROPN
ejpam-6750	143	5	math	math	PROPN
ejpam-6750	143	6	,	,	PUNCT
ejpam-6750	143	7	18	18	NUM
ejpam-6750	143	8	(	(	PUNCT
ejpam-6750	143	9	4	4	NUM
ejpam-6750	143	10	)	)	PUNCT
ejpam-6750	143	11	(	(	PUNCT
ejpam-6750	143	12	2025	2025	NUM
ejpam-6750	143	13	)	)	PUNCT
ejpam-6750	143	14	,	,	PUNCT
ejpam-6750	143	15	6750	6750	NUM
ejpam-6750	143	16	8	8	NUM
ejpam-6750	143	17	of	of	ADP
ejpam-6750	143	18	19	19	NUM
ejpam-6750	143	19	3	3	NUM
ejpam-6750	143	20	.	.	PUNCT
ejpam-6750	143	21	model	model	NOUN
ejpam-6750	143	22	analysis	analysis	NOUN
ejpam-6750	143	23	3.1	3.1	NUM
ejpam-6750	143	24	.	.	PUNCT
ejpam-6750	143	25	monkeypox	monkeypox	NOUN
ejpam-6750	143	26	-	-	PUNCT
ejpam-6750	143	27	free	free	ADJ
ejpam-6750	143	28	equilibrium	equilibrium	NOUN
ejpam-6750	143	29	and	and	CCONJ
ejpam-6750	143	30	the	the	DET
ejpam-6750	143	31	basic	basic	ADJ
ejpam-6750	143	32	reproduction	reproduction	NOUN
ejpam-6750	143	33	number	number	NOUN
ejpam-6750	143	34	to	to	PART
ejpam-6750	143	35	initiate	initiate	VERB
ejpam-6750	143	36	the	the	DET
ejpam-6750	143	37	mathematical	mathematical	ADJ
ejpam-6750	143	38	analysis	analysis	NOUN
ejpam-6750	143	39	of	of	ADP
ejpam-6750	143	40	the	the	DET
ejpam-6750	143	41	monkeypox	monkeypox	PROPN
ejpam-6750	143	42	model	model	NOUN
ejpam-6750	143	43	,	,	PUNCT
ejpam-6750	143	44	we	we	PRON
ejpam-6750	143	45	first	first	ADV
ejpam-6750	143	46	identify	identify	VERB
ejpam-6750	143	47	the	the	DET
ejpam-6750	143	48	monkeypox	monkeypox	NOUN
ejpam-6750	143	49	-	-	PUNCT
ejpam-6750	143	50	free	free	ADJ
ejpam-6750	143	51	equilibrium	equilibrium	NOUN
ejpam-6750	143	52	(	(	PUNCT
ejpam-6750	143	53	mfe	mfe	PROPN
ejpam-6750	143	54	)	)	PUNCT
ejpam-6750	143	55	,	,	PUNCT
ejpam-6750	143	56	also	also	ADV
ejpam-6750	143	57	known	know	VERB
ejpam-6750	143	58	as	as	ADP
ejpam-6750	143	59	the	the	DET
ejpam-6750	143	60	disease	disease	NOUN
ejpam-6750	143	61	-	-	PUNCT
ejpam-6750	143	62	free	free	ADJ
ejpam-6750	143	63	equilibrium	equilibrium	NOUN
ejpam-6750	143	64	(	(	PUNCT
ejpam-6750	143	65	dfe	dfe	PROPN
ejpam-6750	143	66	)	)	PUNCT
ejpam-6750	143	67	,	,	PUNCT
ejpam-6750	143	68	where	where	SCONJ
ejpam-6750	143	69	no	no	DET
ejpam-6750	143	70	infection	infection	NOUN
ejpam-6750	143	71	is	be	AUX
ejpam-6750	143	72	present	present	ADJ
ejpam-6750	143	73	in	in	ADP
ejpam-6750	143	74	the	the	DET
ejpam-6750	143	75	human	human	ADJ
ejpam-6750	143	76	population	population	NOUN
ejpam-6750	143	77	and	and	CCONJ
ejpam-6750	143	78	the	the	DET
ejpam-6750	143	79	environment	environment	NOUN
ejpam-6750	143	80	.	.	PUNCT
ejpam-6750	144	1	this	this	DET
ejpam-6750	144	2	state	state	NOUN
ejpam-6750	144	3	represents	represent	VERB
ejpam-6750	144	4	the	the	DET
ejpam-6750	144	5	baseline	baseline	ADJ
ejpam-6750	144	6	condition	condition	NOUN
ejpam-6750	144	7	in	in	ADP
ejpam-6750	144	8	which	which	PRON
ejpam-6750	144	9	the	the	DET
ejpam-6750	144	10	monkeypox	monkeypox	NOUN
ejpam-6750	144	11	is	be	AUX
ejpam-6750	144	12	absent	absent	ADJ
ejpam-6750	144	13	and	and	CCONJ
ejpam-6750	144	14	all	all	DET
ejpam-6750	144	15	individuals	individual	NOUN
ejpam-6750	144	16	are	be	AUX
ejpam-6750	144	17	either	either	CCONJ
ejpam-6750	144	18	susceptible	susceptible	ADJ
ejpam-6750	144	19	or	or	CCONJ
ejpam-6750	144	20	in	in	ADP
ejpam-6750	144	21	non	non	ADJ
ejpam-6750	144	22	-	-	ADJ
ejpam-6750	144	23	infectious	infectious	ADJ
ejpam-6750	144	24	compartments	compartment	NOUN
ejpam-6750	144	25	.	.	PUNCT
ejpam-6750	145	1	theorem	theorem	NOUN
ejpam-6750	145	2	3	3	NUM
ejpam-6750	145	3	.	.	PUNCT
ejpam-6750	146	1	the	the	DET
ejpam-6750	146	2	seiqr	seiqr	ADJ
ejpam-6750	146	3	-	-	PUNCT
ejpam-6750	146	4	c	c	NOUN
ejpam-6750	146	5	model	model	NOUN
ejpam-6750	146	6	admits	admit	VERB
ejpam-6750	146	7	a	a	DET
ejpam-6750	146	8	monkeypox	monkeypox	NOUN
ejpam-6750	146	9	-	-	PUNCT
ejpam-6750	146	10	free	free	ADJ
ejpam-6750	146	11	equilibrium	equilibrium	NOUN
ejpam-6750	146	12	given	give	VERB
ejpam-6750	146	13	by	by	ADP
ejpam-6750	146	14	e0	e0	PROPN
ejpam-6750	146	15	=	=	SYM
ejpam-6750	146	16	(	(	PUNCT
ejpam-6750	146	17	s0	s0	PROPN
ejpam-6750	146	18	,	,	PUNCT
ejpam-6750	146	19	0	0	NUM
ejpam-6750	146	20	,	,	PUNCT
ejpam-6750	146	21	0	0	NUM
ejpam-6750	146	22	,	,	PUNCT
ejpam-6750	146	23	0	0	NUM
ejpam-6750	146	24	,	,	PUNCT
ejpam-6750	146	25	0	0	NUM
ejpam-6750	146	26	,	,	PUNCT
ejpam-6750	146	27	0	0	NUM
ejpam-6750	146	28	)	)	PUNCT
ejpam-6750	147	1	where	where	SCONJ
ejpam-6750	147	2	s0	s0	NOUN
ejpam-6750	147	3	=	=	PUNCT
ejpam-6750	147	4	λ	λ	PROPN
ejpam-6750	147	5	µh	µh	INTJ
ejpam-6750	147	6	.	.	PUNCT
ejpam-6750	148	1	proof	proof	NOUN
ejpam-6750	148	2	.	.	PUNCT
ejpam-6750	149	1	let	let	VERB
ejpam-6750	149	2	e0	e0	PROPN
ejpam-6750	149	3	=	=	SYM
ejpam-6750	149	4	(	(	PUNCT
ejpam-6750	149	5	s0	s0	PROPN
ejpam-6750	149	6	,	,	PUNCT
ejpam-6750	149	7	e0	e0	PROPN
ejpam-6750	149	8	,	,	PUNCT
ejpam-6750	149	9	i0	i0	PROPN
ejpam-6750	149	10	,	,	PUNCT
ejpam-6750	149	11	q0	q0	PROPN
ejpam-6750	149	12	,	,	PUNCT
ejpam-6750	149	13	r0	r0	NOUN
ejpam-6750	149	14	,	,	PUNCT
ejpam-6750	149	15	c0	c0	NOUN
ejpam-6750	149	16	)	)	PUNCT
ejpam-6750	149	17	be	be	VERB
ejpam-6750	149	18	a	a	DET
ejpam-6750	149	19	monkeypox	monkeypox	NOUN
ejpam-6750	149	20	-	-	PUNCT
ejpam-6750	149	21	free	free	ADJ
ejpam-6750	149	22	equilibrium	equilibrium	NOUN
ejpam-6750	149	23	of	of	ADP
ejpam-6750	149	24	the	the	DET
ejpam-6750	149	25	seiqrc	seiqrc	PROPN
ejpam-6750	149	26	model	model	NOUN
ejpam-6750	149	27	.	.	PUNCT
ejpam-6750	150	1	to	to	PART
ejpam-6750	150	2	solve	solve	VERB
ejpam-6750	150	3	the	the	DET
ejpam-6750	150	4	mfe	mfe	PROPN
ejpam-6750	150	5	,	,	PUNCT
ejpam-6750	150	6	we	we	PRON
ejpam-6750	150	7	set	set	VERB
ejpam-6750	150	8	all	all	DET
ejpam-6750	150	9	the	the	DET
ejpam-6750	150	10	time	time	NOUN
ejpam-6750	150	11	derivatives	derivative	NOUN
ejpam-6750	150	12	in	in	ADP
ejpam-6750	150	13	the	the	DET
ejpam-6750	150	14	model	model	NOUN
ejpam-6750	150	15	to	to	ADP
ejpam-6750	150	16	zero	zero	NUM
ejpam-6750	150	17	.	.	PUNCT
ejpam-6750	151	1	that	that	PRON
ejpam-6750	151	2	is	is	ADV
ejpam-6750	151	3	,	,	PUNCT
ejpam-6750	151	4	λ−	λ−	PROPN
ejpam-6750	151	5	(	(	PUNCT
ejpam-6750	151	6	βhi0	βhi0	PROPN
ejpam-6750	151	7	+	+	CCONJ
ejpam-6750	151	8	βcc0)s0	βcc0)s0	PROPN
ejpam-6750	151	9	−	−	NOUN
ejpam-6750	151	10	µhs0	µhs0	NOUN
ejpam-6750	151	11	=	=	SYM
ejpam-6750	151	12	0	0	PUNCT
ejpam-6750	151	13	(	(	PUNCT
ejpam-6750	151	14	βhi0	βhi0	PROPN
ejpam-6750	151	15	+	+	CCONJ
ejpam-6750	151	16	βcc0)s0	βcc0)s0	PROPN
ejpam-6750	152	1	−	−	PROPN
ejpam-6750	152	2	(	(	PUNCT
ejpam-6750	152	3	γ	γ	X
ejpam-6750	152	4	+	+	NOUN
ejpam-6750	152	5	µh)e0	µh)e0	NOUN
ejpam-6750	152	6	=	=	SYM
ejpam-6750	152	7	0	0	NUM
ejpam-6750	152	8	γe0	γe0	NOUN
ejpam-6750	153	1	−	−	PROPN
ejpam-6750	154	1	(	(	PUNCT
ejpam-6750	154	2	γ0	γ0	NOUN
ejpam-6750	154	3	+	+	NUM
ejpam-6750	154	4	θ	θ	PROPN
ejpam-6750	154	5	+	+	CCONJ
ejpam-6750	154	6	µh)i0	µh)i0	PROPN
ejpam-6750	154	7	=	=	PUNCT
ejpam-6750	154	8	0	0	NUM
ejpam-6750	155	1	θi0	θi0	NUM
ejpam-6750	155	2	−	−	PROPN
ejpam-6750	155	3	(	(	PUNCT
ejpam-6750	155	4	γq	γq	ADP
ejpam-6750	155	5	+	+	CCONJ
ejpam-6750	155	6	µh)q0	µh)q0	ADJ
ejpam-6750	155	7	=	=	SYM
ejpam-6750	155	8	0	0	NUM
ejpam-6750	155	9	γ0i0	γ0i0	X
ejpam-6750	155	10	+	+	CCONJ
ejpam-6750	155	11	γqq0	γqq0	NOUN
ejpam-6750	155	12	−	−	PROPN
ejpam-6750	155	13	µhr0	µhr0	PROPN
ejpam-6750	155	14	=	=	SYM
ejpam-6750	155	15	0	0	NUM
ejpam-6750	155	16	αi0	αi0	PROPN
ejpam-6750	155	17	−	−	PROPN
ejpam-6750	155	18	µpc0	µpc0	PROPN
ejpam-6750	155	19	=	=	NOUN
ejpam-6750	155	20	0	0	X
ejpam-6750	155	21	.	.	PUNCT
ejpam-6750	155	22	suppose	suppose	VERB
ejpam-6750	155	23	that	that	SCONJ
ejpam-6750	155	24	no	no	DET
ejpam-6750	155	25	infection	infection	NOUN
ejpam-6750	155	26	is	be	AUX
ejpam-6750	155	27	present	present	ADJ
ejpam-6750	155	28	in	in	ADP
ejpam-6750	155	29	the	the	DET
ejpam-6750	155	30	population	population	NOUN
ejpam-6750	155	31	or	or	CCONJ
ejpam-6750	155	32	the	the	DET
ejpam-6750	155	33	environment	environment	NOUN
ejpam-6750	155	34	which	which	PRON
ejpam-6750	155	35	means	mean	VERB
ejpam-6750	155	36	that	that	SCONJ
ejpam-6750	155	37	e0	e0	PROPN
ejpam-6750	155	38	=	=	SYM
ejpam-6750	155	39	i0	i0	PROPN
ejpam-6750	155	40	=	=	PUNCT
ejpam-6750	155	41	q0	q0	PROPN
ejpam-6750	155	42	=	=	SYM
ejpam-6750	155	43	r0	r0	NOUN
ejpam-6750	155	44	=	=	SYM
ejpam-6750	155	45	c0	c0	PROPN
ejpam-6750	155	46	=	=	SYM
ejpam-6750	155	47	0	0	X
ejpam-6750	155	48	.	.	PUNCT
ejpam-6750	156	1	substituting	substitute	VERB
ejpam-6750	156	2	these	these	DET
ejpam-6750	156	3	values	value	NOUN
ejpam-6750	156	4	into	into	ADP
ejpam-6750	156	5	the	the	DET
ejpam-6750	156	6	system	system	NOUN
ejpam-6750	156	7	,	,	PUNCT
ejpam-6750	156	8	we	we	PRON
ejpam-6750	156	9	obtain	obtain	VERB
ejpam-6750	156	10	s0	s0	NOUN
ejpam-6750	156	11	=	=	PUNCT
ejpam-6750	156	12	λ	λ	INTJ
ejpam-6750	156	13	µh	µh	INTJ
ejpam-6750	156	14	.	.	PUNCT
ejpam-6750	157	1	hence	hence	ADV
ejpam-6750	157	2	,	,	PUNCT
ejpam-6750	157	3	the	the	DET
ejpam-6750	157	4	monkeypox	monkeypox	NOUN
ejpam-6750	157	5	-	-	PUNCT
ejpam-6750	157	6	free	free	ADJ
ejpam-6750	157	7	equilibrium	equilibrium	NOUN
ejpam-6750	157	8	is	be	AUX
ejpam-6750	157	9	given	give	VERB
ejpam-6750	157	10	by	by	ADP
ejpam-6750	157	11	e0	e0	PROPN
ejpam-6750	157	12	=	=	PUNCT
ejpam-6750	157	13	(	(	PUNCT
ejpam-6750	157	14	λ	λ	INTJ
ejpam-6750	157	15	µh	µh	INTJ
ejpam-6750	157	16	,	,	PUNCT
ejpam-6750	157	17	0	0	NUM
ejpam-6750	157	18	,	,	PUNCT
ejpam-6750	157	19	0	0	NUM
ejpam-6750	157	20	,	,	PUNCT
ejpam-6750	157	21	0	0	NUM
ejpam-6750	157	22	,	,	PUNCT
ejpam-6750	157	23	0	0	NUM
ejpam-6750	157	24	,	,	PUNCT
ejpam-6750	157	25	0	0	NUM
ejpam-6750	157	26	)	)	PUNCT
ejpam-6750	157	27	.	.	PUNCT
ejpam-6750	158	1	(	(	PUNCT
ejpam-6750	158	2	22	22	NUM
ejpam-6750	158	3	)	)	PUNCT
ejpam-6750	158	4	■	■	PUNCT
ejpam-6750	158	5	next	next	ADV
ejpam-6750	158	6	,	,	PUNCT
ejpam-6750	158	7	we	we	PRON
ejpam-6750	158	8	will	will	AUX
ejpam-6750	158	9	compute	compute	VERB
ejpam-6750	158	10	the	the	DET
ejpam-6750	158	11	basic	basic	ADJ
ejpam-6750	158	12	reproduction	reproduction	NOUN
ejpam-6750	158	13	number	number	NOUN
ejpam-6750	158	14	of	of	ADP
ejpam-6750	158	15	the	the	DET
ejpam-6750	158	16	seiqr	seiqr	ADJ
ejpam-6750	158	17	-	-	PUNCT
ejpam-6750	158	18	c	c	NOUN
ejpam-6750	158	19	model	model	NOUN
ejpam-6750	158	20	(	(	PUNCT
ejpam-6750	158	21	1	1	X
ejpam-6750	158	22	)	)	PUNCT
ejpam-6750	158	23	using	use	VERB
ejpam-6750	158	24	the	the	DET
ejpam-6750	158	25	next	next	ADJ
ejpam-6750	158	26	generation	generation	NOUN
ejpam-6750	158	27	matrix	matrix	NOUN
ejpam-6750	158	28	(	(	PUNCT
ejpam-6750	158	29	ngm	ngm	PROPN
ejpam-6750	158	30	)	)	PUNCT
ejpam-6750	159	1	[	[	X
ejpam-6750	159	2	20	20	NUM
ejpam-6750	159	3	,	,	PUNCT
ejpam-6750	159	4	21	21	NUM
ejpam-6750	159	5	]	]	PUNCT
ejpam-6750	159	6	.	.	PUNCT
ejpam-6750	160	1	the	the	DET
ejpam-6750	160	2	basic	basic	ADJ
ejpam-6750	160	3	reproduction	reproduction	NOUN
ejpam-6750	160	4	number	number	NOUN
ejpam-6750	160	5	denoted	denote	VERB
ejpam-6750	160	6	by	by	ADP
ejpam-6750	160	7	r0	r0	NOUN
ejpam-6750	160	8	is	be	AUX
ejpam-6750	160	9	defined	define	VERB
ejpam-6750	160	10	as	as	ADP
ejpam-6750	160	11	the	the	DET
ejpam-6750	160	12	average	average	ADJ
ejpam-6750	160	13	number	number	NOUN
ejpam-6750	160	14	of	of	ADP
ejpam-6750	160	15	secondary	secondary	ADJ
ejpam-6750	160	16	infections	infection	NOUN
ejpam-6750	160	17	that	that	PRON
ejpam-6750	160	18	occurs	occur	VERB
ejpam-6750	160	19	when	when	SCONJ
ejpam-6750	160	20	one	one	NUM
ejpam-6750	160	21	infective	infective	NOUN
ejpam-6750	160	22	is	be	AUX
ejpam-6750	160	23	introduced	introduce	VERB
ejpam-6750	160	24	into	into	ADP
ejpam-6750	160	25	a	a	DET
ejpam-6750	160	26	completely	completely	ADV
ejpam-6750	160	27	susceptible	susceptible	ADJ
ejpam-6750	160	28	population	population	NOUN
ejpam-6750	161	1	[	[	X
ejpam-6750	161	2	20	20	NUM
ejpam-6750	161	3	,	,	PUNCT
ejpam-6750	161	4	21	21	NUM
ejpam-6750	161	5	]	]	PUNCT
ejpam-6750	161	6	.	.	PUNCT
ejpam-6750	162	1	now	now	ADV
ejpam-6750	162	2	,	,	PUNCT
ejpam-6750	162	3	we	we	PRON
ejpam-6750	162	4	first	first	ADV
ejpam-6750	162	5	identified	identify	VERB
ejpam-6750	162	6	the	the	DET
ejpam-6750	162	7	infected	infected	ADJ
ejpam-6750	162	8	compartments	compartment	NOUN
ejpam-6750	162	9	contributing	contribute	VERB
ejpam-6750	162	10	to	to	ADP
ejpam-6750	162	11	the	the	DET
ejpam-6750	162	12	generation	generation	NOUN
ejpam-6750	162	13	of	of	ADP
ejpam-6750	162	14	new	new	ADJ
ejpam-6750	162	15	cases	case	NOUN
ejpam-6750	162	16	:	:	PUNCT
ejpam-6750	162	17	the	the	DET
ejpam-6750	162	18	exposed	expose	VERB
ejpam-6750	162	19	individuals	individual	NOUN
ejpam-6750	162	20	e	e	NOUN
ejpam-6750	162	21	,	,	PUNCT
ejpam-6750	162	22	the	the	DET
ejpam-6750	162	23	infectious	infectious	ADJ
ejpam-6750	162	24	individuals	individual	NOUN
ejpam-6750	162	25	i	i	PRON
ejpam-6750	162	26	,	,	PUNCT
ejpam-6750	162	27	and	and	CCONJ
ejpam-6750	162	28	the	the	DET
ejpam-6750	162	29	contaminated	contaminate	VERB
ejpam-6750	162	30	surfaces	surface	NOUN
ejpam-6750	162	31	c.	c.	NOUN
ejpam-6750	162	32	then	then	ADV
ejpam-6750	162	33	,	,	PUNCT
ejpam-6750	162	34	the	the	DET
ejpam-6750	162	35	disease	disease	NOUN
ejpam-6750	162	36	transmission	transmission	NOUN
ejpam-6750	162	37	terms	term	NOUN
ejpam-6750	162	38	were	be	AUX
ejpam-6750	162	39	captured	capture	VERB
ejpam-6750	162	40	in	in	ADP
ejpam-6750	162	41	the	the	DET
ejpam-6750	162	42	matrix	matrix	NOUN
ejpam-6750	162	43	f	f	PROPN
ejpam-6750	162	44	,	,	PUNCT
ejpam-6750	162	45	representing	represent	VERB
ejpam-6750	162	46	new	new	ADJ
ejpam-6750	162	47	infections	infection	NOUN
ejpam-6750	162	48	,	,	PUNCT
ejpam-6750	162	49	while	while	SCONJ
ejpam-6750	162	50	the	the	DET
ejpam-6750	162	51	transition	transition	NOUN
ejpam-6750	162	52	terms	term	NOUN
ejpam-6750	162	53	between	between	ADP
ejpam-6750	162	54	compartments	compartment	NOUN
ejpam-6750	162	55	were	be	AUX
ejpam-6750	162	56	incorporated	incorporate	VERB
ejpam-6750	162	57	into	into	ADP
ejpam-6750	162	58	matrix	matrix	NOUN
ejpam-6750	162	59	v.	v.	ADP
ejpam-6750	162	60	these	these	DET
ejpam-6750	162	61	matrices	matrix	NOUN
ejpam-6750	162	62	are	be	AUX
ejpam-6750	162	63	defined	define	VERB
ejpam-6750	162	64	as	as	ADP
ejpam-6750	162	65	f	f	PROPN
ejpam-6750	162	66	=	=	X
ejpam-6750	162	67	(βhi	(βhi	PROPN
ejpam-6750	162	68	+	+	CCONJ
ejpam-6750	162	69	βcc)s	βcc)s	SYM
ejpam-6750	162	70	0	0	NUM
ejpam-6750	162	71	0	0	NUM
ejpam-6750	162	72			NOUN
ejpam-6750	162	73	and	and	CCONJ
ejpam-6750	162	74	v	v	NOUN
ejpam-6750	162	75	=	=	SYM
ejpam-6750	162	76			PROPN
ejpam-6750	162	77	(	(	PUNCT
ejpam-6750	162	78	γ	γ	X
ejpam-6750	162	79	+	+	CCONJ
ejpam-6750	162	80	µh)e	µh)e	PROPN
ejpam-6750	162	81	−γe	−γe	NOUN
ejpam-6750	162	82	+	+	CCONJ
ejpam-6750	162	83	(	(	PUNCT
ejpam-6750	162	84	γ0	γ0	NOUN
ejpam-6750	162	85	+	+	NUM
ejpam-6750	162	86	θ	θ	PROPN
ejpam-6750	162	87	+	+	PUNCT
ejpam-6750	162	88	µh)i	µh)i	AUX
ejpam-6750	162	89	−αi	−αi	NOUN
ejpam-6750	162	90	+	+	CCONJ
ejpam-6750	162	91	µpc	µpc	NOUN
ejpam-6750	162	92			NOUN
ejpam-6750	162	93	j.	j.	PROPN
ejpam-6750	162	94	a.	a.	PROPN
ejpam-6750	162	95	puebla	puebla	PROPN
ejpam-6750	162	96	jr	jr	PROPN
ejpam-6750	162	97	.	.	PROPN
ejpam-6750	162	98	/	/	SYM
ejpam-6750	162	99	eur	eur	PROPN
ejpam-6750	162	100	.	.	PUNCT
ejpam-6750	163	1	j.	j.	PROPN
ejpam-6750	163	2	pure	pure	PROPN
ejpam-6750	163	3	appl	appl	PROPN
ejpam-6750	163	4	.	.	PROPN
ejpam-6750	163	5	math	math	PROPN
ejpam-6750	163	6	,	,	PUNCT
ejpam-6750	163	7	18	18	NUM
ejpam-6750	163	8	(	(	PUNCT
ejpam-6750	163	9	4	4	NUM
ejpam-6750	163	10	)	)	PUNCT
ejpam-6750	163	11	(	(	PUNCT
ejpam-6750	163	12	2025	2025	NUM
ejpam-6750	163	13	)	)	PUNCT
ejpam-6750	163	14	,	,	PUNCT
ejpam-6750	163	15	6750	6750	NUM
ejpam-6750	163	16	9	9	NUM
ejpam-6750	163	17	of	of	ADP
ejpam-6750	163	18	19	19	NUM
ejpam-6750	163	19	the	the	DET
ejpam-6750	163	20	jacobian	jacobian	NOUN
ejpam-6750	163	21	of	of	ADP
ejpam-6750	163	22	f	f	PROPN
ejpam-6750	163	23	and	and	CCONJ
ejpam-6750	163	24	v	v	NUM
ejpam-6750	163	25	evaluated	evaluate	VERB
ejpam-6750	163	26	at	at	ADP
ejpam-6750	163	27	e0	e0	PROPN
ejpam-6750	163	28	are	be	AUX
ejpam-6750	163	29	f	f	PROPN
ejpam-6750	163	30	and	and	CCONJ
ejpam-6750	163	31	v	v	NOUN
ejpam-6750	163	32	,	,	PUNCT
ejpam-6750	163	33	respectively	respectively	ADV
ejpam-6750	163	34	.	.	PUNCT
ejpam-6750	164	1	f	f	X
ejpam-6750	164	2	=	=	PUNCT
ejpam-6750	164	3	0	0	PROPN
ejpam-6750	164	4	βhλ	βhλ	X
ejpam-6750	165	1	µh	µh	ADP
ejpam-6750	165	2	βcλ	βcλ	NOUN
ejpam-6750	166	1	µh	µh	ADV
ejpam-6750	166	2	0	0	NUM
ejpam-6750	166	3	0	0	NUM
ejpam-6750	166	4	0	0	NUM
ejpam-6750	166	5	0	0	NUM
ejpam-6750	166	6	0	0	NUM
ejpam-6750	166	7	0	0	NUM
ejpam-6750	166	8			NOUN
ejpam-6750	166	9	and	and	CCONJ
ejpam-6750	166	10	v	v	NOUN
ejpam-6750	166	11	=	=	SYM
ejpam-6750	166	12	γ	γ	PROPN
ejpam-6750	167	1	+	+	CCONJ
ejpam-6750	167	2	µh	µh	NOUN
ejpam-6750	167	3	0	0	NUM
ejpam-6750	167	4	0	0	NUM
ejpam-6750	167	5	−γ	−γ	NOUN
ejpam-6750	167	6	γ0	γ0	NOUN
ejpam-6750	167	7	+	+	CCONJ
ejpam-6750	167	8	θ	θ	X
ejpam-6750	168	1	+	+	PUNCT
ejpam-6750	168	2	µh	µh	NOUN
ejpam-6750	168	3	0	0	NUM
ejpam-6750	168	4	0	0	NUM
ejpam-6750	168	5	−α	−α	NOUN
ejpam-6750	168	6	µp	µp	NOUN
ejpam-6750	168	7			NOUN
ejpam-6750	168	8	then	then	ADV
ejpam-6750	168	9	,	,	PUNCT
ejpam-6750	168	10	taking	take	VERB
ejpam-6750	168	11	the	the	DET
ejpam-6750	168	12	inverse	inverse	NOUN
ejpam-6750	168	13	of	of	ADP
ejpam-6750	168	14	v	v	NOUN
ejpam-6750	168	15	,	,	PUNCT
ejpam-6750	168	16	that	that	PRON
ejpam-6750	168	17	is	be	AUX
ejpam-6750	168	18	v	v	ADP
ejpam-6750	168	19	−1	−1	NOUN
ejpam-6750	168	20	=	=	PUNCT
ejpam-6750	168	21			PRON
ejpam-6750	168	22	1	1	NUM
ejpam-6750	168	23	γ+µh	γ+µh	NOUN
ejpam-6750	168	24	0	0	NUM
ejpam-6750	168	25	0	0	NUM
ejpam-6750	168	26	γ	γ	X
ejpam-6750	168	27	(	(	PUNCT
ejpam-6750	168	28	γ+µh)(γ0+θ+µh	γ+µh)(γ0+θ+µh	PROPN
ejpam-6750	168	29	)	)	PUNCT
ejpam-6750	168	30	1	1	NUM
ejpam-6750	168	31	γ0+θ+µh	γ0+θ+µh	PROPN
ejpam-6750	168	32	0	0	NUM
ejpam-6750	168	33	αγ	αγ	PROPN
ejpam-6750	168	34	(	(	PUNCT
ejpam-6750	168	35	γ+µh)(γ0+θ+µh)µp	γ+µh)(γ0+θ+µh)µp	NOUN
ejpam-6750	168	36	α	α	PROPN
ejpam-6750	168	37	(	(	PUNCT
ejpam-6750	168	38	γ0+θ+µh)µp	γ0+θ+µh)µp	NOUN
ejpam-6750	168	39	1	1	NUM
ejpam-6750	168	40	µp	µp	NOUN
ejpam-6750	168	41			NUM
ejpam-6750	168	42	.	.	PUNCT
ejpam-6750	169	1	(	(	PUNCT
ejpam-6750	169	2	23	23	NUM
ejpam-6750	169	3	)	)	PUNCT
ejpam-6750	169	4	consequently	consequently	ADV
ejpam-6750	169	5	,	,	PUNCT
ejpam-6750	169	6	fv	fv	PROPN
ejpam-6750	169	7	−1	−1	NOUN
ejpam-6750	169	8	=	=	PUNCT
ejpam-6750	169	9	0	0	PROPN
ejpam-6750	169	10	βhλ	βhλ	PUNCT
ejpam-6750	169	11	µh	µh	ADP
ejpam-6750	169	12	βcλ	βcλ	NOUN
ejpam-6750	170	1	µh	µh	ADV
ejpam-6750	170	2	0	0	NUM
ejpam-6750	170	3	0	0	NUM
ejpam-6750	170	4	0	0	NUM
ejpam-6750	170	5	0	0	NUM
ejpam-6750	170	6	0	0	NUM
ejpam-6750	170	7	0	0	NUM
ejpam-6750	170	8			NOUN
ejpam-6750	170	9			NUM
ejpam-6750	170	10	1	1	NUM
ejpam-6750	170	11	γ+µh	γ+µh	NOUN
ejpam-6750	170	12	0	0	NUM
ejpam-6750	170	13	0	0	NUM
ejpam-6750	170	14	γ	γ	X
ejpam-6750	170	15	(	(	PUNCT
ejpam-6750	170	16	γ+µh)(γ0+θ+µh	γ+µh)(γ0+θ+µh	PROPN
ejpam-6750	170	17	)	)	PUNCT
ejpam-6750	170	18	1	1	NUM
ejpam-6750	170	19	γ0+θ+µh	γ0+θ+µh	PROPN
ejpam-6750	170	20	0	0	NUM
ejpam-6750	170	21	αγ	αγ	PROPN
ejpam-6750	170	22	(	(	PUNCT
ejpam-6750	170	23	γ+µh)(γ0+θ+µh)µp	γ+µh)(γ0+θ+µh)µp	NOUN
ejpam-6750	170	24	α	α	PROPN
ejpam-6750	170	25	(	(	PUNCT
ejpam-6750	170	26	γ0+θ+µh)µp	γ0+θ+µh)µp	NOUN
ejpam-6750	170	27	1	1	NUM
ejpam-6750	170	28	µp	µp	NOUN
ejpam-6750	170	29			NUM
ejpam-6750	170	30	(	(	PUNCT
ejpam-6750	170	31	24	24	NUM
ejpam-6750	170	32	)	)	PUNCT
ejpam-6750	170	33	=	=	NOUN
ejpam-6750	170	34			NOUN
ejpam-6750	170	35	λγ(βhµp+αβc	λγ(βhµp+αβc	NOUN
ejpam-6750	170	36	)	)	PUNCT
ejpam-6750	170	37	µhµp(γ+µh)(γ0+θ+µh	µhµp(γ+µh)(γ0+θ+µh	NOUN
ejpam-6750	170	38	)	)	PUNCT
ejpam-6750	170	39	λ(βhµp+αβc	λ(βhµp+αβc	NOUN
ejpam-6750	170	40	)	)	PUNCT
ejpam-6750	170	41	µhµp(γ0+θ+µh	µhµp(γ0+θ+µh	NOUN
ejpam-6750	170	42	)	)	PUNCT
ejpam-6750	170	43	λβc	λβc	NOUN
ejpam-6750	170	44	µhµp	µhµp	NOUN
ejpam-6750	170	45	0	0	NUM
ejpam-6750	170	46	0	0	NUM
ejpam-6750	170	47	0	0	NUM
ejpam-6750	170	48	0	0	NUM
ejpam-6750	170	49	0	0	NUM
ejpam-6750	170	50	0	0	NUM
ejpam-6750	170	51			NUM
ejpam-6750	170	52	(	(	PUNCT
ejpam-6750	170	53	25	25	NUM
ejpam-6750	170	54	)	)	PUNCT
ejpam-6750	170	55	accordingly	accordingly	ADV
ejpam-6750	170	56	,	,	PUNCT
ejpam-6750	170	57	the	the	DET
ejpam-6750	170	58	basic	basic	ADJ
ejpam-6750	170	59	reproduction	reproduction	NOUN
ejpam-6750	170	60	number	number	NOUN
ejpam-6750	170	61	of	of	ADP
ejpam-6750	170	62	the	the	DET
ejpam-6750	170	63	seiqr	seiqr	ADJ
ejpam-6750	170	64	-	-	PUNCT
ejpam-6750	170	65	c	c	NOUN
ejpam-6750	170	66	model	model	NOUN
ejpam-6750	170	67	(	(	PUNCT
ejpam-6750	170	68	1	1	NUM
ejpam-6750	170	69	)	)	PUNCT
ejpam-6750	170	70	is	be	AUX
ejpam-6750	170	71	the	the	DET
ejpam-6750	170	72	largest	large	ADJ
ejpam-6750	170	73	eigenvalue	eigenvalue	NOUN
ejpam-6750	170	74	of	of	ADP
ejpam-6750	170	75	fv	fv	PROPN
ejpam-6750	170	76	−1	−1	NOUN
ejpam-6750	170	77	.	.	PUNCT
ejpam-6750	171	1	hence	hence	ADV
ejpam-6750	171	2	,	,	PUNCT
ejpam-6750	171	3	r0	r0	NOUN
ejpam-6750	171	4	=	=	PUNCT
ejpam-6750	172	1	λγ(βhµp	λγ(βhµp	PROPN
ejpam-6750	172	2	+	+	CCONJ
ejpam-6750	172	3	αβc	αβc	NOUN
ejpam-6750	172	4	)	)	PUNCT
ejpam-6750	172	5	µhµp(γ	µhµp(γ	ADP
ejpam-6750	172	6	+	+	CCONJ
ejpam-6750	172	7	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	172	8	+	+	CCONJ
ejpam-6750	172	9	θ	θ	PROPN
ejpam-6750	172	10	+	+	PUNCT
ejpam-6750	172	11	µh	µh	NOUN
ejpam-6750	172	12	)	)	PUNCT
ejpam-6750	172	13	.	.	PUNCT
ejpam-6750	173	1	(	(	PUNCT
ejpam-6750	173	2	26	26	NUM
ejpam-6750	173	3	)	)	PUNCT
ejpam-6750	173	4	the	the	DET
ejpam-6750	173	5	basic	basic	ADJ
ejpam-6750	173	6	reproduction	reproduction	NOUN
ejpam-6750	173	7	number	number	NOUN
ejpam-6750	173	8	r0	r0	NOUN
ejpam-6750	173	9	serves	serve	VERB
ejpam-6750	173	10	as	as	ADP
ejpam-6750	173	11	a	a	DET
ejpam-6750	173	12	critical	critical	ADJ
ejpam-6750	173	13	threshold	threshold	NOUN
ejpam-6750	173	14	parameter	parameter	NOUN
ejpam-6750	173	15	in	in	ADP
ejpam-6750	173	16	epidemiological	epidemiological	ADJ
ejpam-6750	173	17	modeling	modeling	NOUN
ejpam-6750	173	18	[	[	X
ejpam-6750	173	19	22	22	NUM
ejpam-6750	173	20	]	]	PUNCT
ejpam-6750	173	21	.	.	PUNCT
ejpam-6750	174	1	in	in	ADP
ejpam-6750	174	2	the	the	DET
ejpam-6750	174	3	seiqr	seiqr	ADJ
ejpam-6750	174	4	-	-	PUNCT
ejpam-6750	174	5	c	c	NOUN
ejpam-6750	174	6	model	model	NOUN
ejpam-6750	174	7	,	,	PUNCT
ejpam-6750	174	8	r0	r0	NOUN
ejpam-6750	174	9	captures	capture	VERB
ejpam-6750	174	10	both	both	CCONJ
ejpam-6750	174	11	direct	direct	ADJ
ejpam-6750	174	12	human	human	NOUN
ejpam-6750	174	13	-	-	PUNCT
ejpam-6750	174	14	to	to	ADP
ejpam-6750	174	15	-	-	PUNCT
ejpam-6750	174	16	human	human	ADJ
ejpam-6750	174	17	transmission	transmission	NOUN
ejpam-6750	174	18	and	and	CCONJ
ejpam-6750	174	19	indirect	indirect	ADJ
ejpam-6750	174	20	transmission	transmission	NOUN
ejpam-6750	174	21	via	via	ADP
ejpam-6750	174	22	contaminated	contaminate	VERB
ejpam-6750	174	23	surfaces	surface	NOUN
ejpam-6750	174	24	.	.	PUNCT
ejpam-6750	175	1	a	a	DET
ejpam-6750	175	2	value	value	NOUN
ejpam-6750	175	3	of	of	ADP
ejpam-6750	175	4	r0	r0	NOUN
ejpam-6750	175	5	>	>	X
ejpam-6750	175	6	1	1	NUM
ejpam-6750	175	7	indicates	indicate	VERB
ejpam-6750	175	8	that	that	SCONJ
ejpam-6750	175	9	the	the	DET
ejpam-6750	175	10	monkeypox	monkeypox	NOUN
ejpam-6750	175	11	can	can	AUX
ejpam-6750	175	12	spread	spread	VERB
ejpam-6750	175	13	and	and	CCONJ
ejpam-6750	175	14	persist	persist	VERB
ejpam-6750	175	15	,	,	PUNCT
ejpam-6750	175	16	while	while	SCONJ
ejpam-6750	175	17	r0	r0	NOUN
ejpam-6750	175	18	<	<	X
ejpam-6750	175	19	1	1	NUM
ejpam-6750	175	20	suggests	suggest	VERB
ejpam-6750	175	21	that	that	SCONJ
ejpam-6750	175	22	the	the	DET
ejpam-6750	175	23	monkeypox	monkeypox	NOUN
ejpam-6750	175	24	will	will	AUX
ejpam-6750	175	25	eventually	eventually	ADV
ejpam-6750	175	26	die	die	VERB
ejpam-6750	175	27	out	out	ADP
ejpam-6750	175	28	.	.	PUNCT
ejpam-6750	176	1	this	this	DET
ejpam-6750	176	2	threshold	threshold	NOUN
ejpam-6750	176	3	informs	inform	VERB
ejpam-6750	176	4	the	the	DET
ejpam-6750	176	5	assessment	assessment	NOUN
ejpam-6750	176	6	of	of	ADP
ejpam-6750	176	7	public	public	ADJ
ejpam-6750	176	8	health	health	NOUN
ejpam-6750	176	9	strategies	strategy	NOUN
ejpam-6750	176	10	such	such	ADJ
ejpam-6750	176	11	as	as	ADP
ejpam-6750	176	12	quarantine	quarantine	NOUN
ejpam-6750	176	13	,	,	PUNCT
ejpam-6750	176	14	sanitation	sanitation	NOUN
ejpam-6750	176	15	,	,	PUNCT
ejpam-6750	176	16	and	and	CCONJ
ejpam-6750	176	17	contact	contact	NOUN
ejpam-6750	176	18	reduction	reduction	NOUN
ejpam-6750	176	19	,	,	PUNCT
ejpam-6750	176	20	with	with	ADP
ejpam-6750	176	21	the	the	DET
ejpam-6750	176	22	aim	aim	NOUN
ejpam-6750	176	23	of	of	ADP
ejpam-6750	176	24	reducing	reduce	VERB
ejpam-6750	176	25	r0	r0	NOUN
ejpam-6750	176	26	below	below	ADP
ejpam-6750	176	27	one	one	NUM
ejpam-6750	176	28	to	to	PART
ejpam-6750	176	29	achieve	achieve	VERB
ejpam-6750	176	30	disease	disease	NOUN
ejpam-6750	176	31	control	control	NOUN
ejpam-6750	176	32	.	.	PUNCT
ejpam-6750	177	1	3.2	3.2	NUM
ejpam-6750	177	2	.	.	PUNCT
ejpam-6750	178	1	monkeypox	monkeypox	VERB
ejpam-6750	178	2	endemic	endemic	ADJ
ejpam-6750	178	3	equilibrium	equilibrium	NOUN
ejpam-6750	178	4	the	the	DET
ejpam-6750	178	5	monkeypox	monkeypox	NOUN
ejpam-6750	178	6	endemic	endemic	ADJ
ejpam-6750	178	7	equilibrium	equilibrium	NOUN
ejpam-6750	178	8	(	(	PUNCT
ejpam-6750	178	9	mee	mee	PROPN
ejpam-6750	178	10	)	)	PUNCT
ejpam-6750	178	11	point	point	NOUN
ejpam-6750	178	12	of	of	ADP
ejpam-6750	178	13	system	system	NOUN
ejpam-6750	178	14	(	(	PUNCT
ejpam-6750	178	15	1	1	X
ejpam-6750	178	16	)	)	PUNCT
ejpam-6750	178	17	refers	refer	VERB
ejpam-6750	178	18	to	to	ADP
ejpam-6750	178	19	a	a	DET
ejpam-6750	178	20	state	state	NOUN
ejpam-6750	178	21	where	where	SCONJ
ejpam-6750	178	22	monkeypox	monkeypox	NOUN
ejpam-6750	178	23	persists	persist	VERB
ejpam-6750	178	24	in	in	ADP
ejpam-6750	178	25	the	the	DET
ejpam-6750	178	26	population	population	NOUN
ejpam-6750	178	27	.	.	PUNCT
ejpam-6750	179	1	it	it	PRON
ejpam-6750	179	2	is	be	AUX
ejpam-6750	179	3	obtained	obtain	VERB
ejpam-6750	179	4	by	by	ADP
ejpam-6750	179	5	setting	set	VERB
ejpam-6750	179	6	the	the	DET
ejpam-6750	179	7	system	system	NOUN
ejpam-6750	179	8	of	of	ADP
ejpam-6750	179	9	equations	equation	NOUN
ejpam-6750	179	10	in	in	ADP
ejpam-6750	179	11	(	(	PUNCT
ejpam-6750	179	12	1	1	NUM
ejpam-6750	179	13	)	)	PUNCT
ejpam-6750	179	14	to	to	ADP
ejpam-6750	179	15	zero	zero	NUM
ejpam-6750	179	16	and	and	CCONJ
ejpam-6750	179	17	solving	solve	VERB
ejpam-6750	179	18	for	for	ADP
ejpam-6750	179	19	the	the	DET
ejpam-6750	179	20	equilibrium	equilibrium	NOUN
ejpam-6750	179	21	values	value	NOUN
ejpam-6750	179	22	of	of	ADP
ejpam-6750	179	23	the	the	DET
ejpam-6750	179	24	variables	variable	NOUN
ejpam-6750	179	25	.	.	PUNCT
ejpam-6750	180	1	theorem	theorem	ADJ
ejpam-6750	180	2	4	4	NUM
ejpam-6750	180	3	.	.	PUNCT
ejpam-6750	181	1	the	the	DET
ejpam-6750	181	2	seiqr	seiqr	ADJ
ejpam-6750	181	3	-	-	PUNCT
ejpam-6750	181	4	c	c	NOUN
ejpam-6750	181	5	model	model	NOUN
ejpam-6750	181	6	(	(	PUNCT
ejpam-6750	181	7	1	1	X
ejpam-6750	181	8	)	)	PUNCT
ejpam-6750	181	9	admits	admit	VERB
ejpam-6750	181	10	a	a	DET
ejpam-6750	181	11	monkeypox	monkeypox	NOUN
ejpam-6750	181	12	endemic	endemic	ADJ
ejpam-6750	181	13	equilibrium	equilibrium	NOUN
ejpam-6750	181	14	given	give	VERB
ejpam-6750	181	15	by	by	ADP
ejpam-6750	181	16	e∗	e∗	PROPN
ejpam-6750	181	17	=	=	SYM
ejpam-6750	181	18	(	(	PUNCT
ejpam-6750	181	19	s∗	s∗	PROPN
ejpam-6750	181	20	,	,	PUNCT
ejpam-6750	181	21	i∗	i∗	NOUN
ejpam-6750	181	22	,	,	PUNCT
ejpam-6750	181	23	e∗	e∗	NOUN
ejpam-6750	181	24	,	,	PUNCT
ejpam-6750	181	25	q∗	q∗	PROPN
ejpam-6750	181	26	,	,	PUNCT
ejpam-6750	181	27	r∗	r∗	PROPN
ejpam-6750	181	28	,	,	PUNCT
ejpam-6750	181	29	c∗	c∗	PROPN
ejpam-6750	181	30	)	)	PUNCT
ejpam-6750	181	31	.	.	PUNCT
ejpam-6750	182	1	j.	j.	PROPN
ejpam-6750	182	2	a.	a.	PROPN
ejpam-6750	182	3	puebla	puebla	PROPN
ejpam-6750	182	4	jr	jr	PROPN
ejpam-6750	182	5	.	.	PROPN
ejpam-6750	182	6	/	/	SYM
ejpam-6750	182	7	eur	eur	PROPN
ejpam-6750	182	8	.	.	PUNCT
ejpam-6750	183	1	j.	j.	PROPN
ejpam-6750	183	2	pure	pure	PROPN
ejpam-6750	183	3	appl	appl	PROPN
ejpam-6750	183	4	.	.	PROPN
ejpam-6750	183	5	math	math	PROPN
ejpam-6750	183	6	,	,	PUNCT
ejpam-6750	183	7	18	18	NUM
ejpam-6750	183	8	(	(	PUNCT
ejpam-6750	183	9	4	4	NUM
ejpam-6750	183	10	)	)	PUNCT
ejpam-6750	183	11	(	(	PUNCT
ejpam-6750	183	12	2025	2025	NUM
ejpam-6750	183	13	)	)	PUNCT
ejpam-6750	183	14	,	,	PUNCT
ejpam-6750	183	15	6750	6750	NUM
ejpam-6750	183	16	10	10	NUM
ejpam-6750	183	17	of	of	ADP
ejpam-6750	183	18	19	19	NUM
ejpam-6750	183	19	proof	proof	NOUN
ejpam-6750	183	20	.	.	PUNCT
ejpam-6750	184	1	let	let	VERB
ejpam-6750	184	2	e∗	e∗	PROPN
ejpam-6750	184	3	=	=	SYM
ejpam-6750	184	4	(	(	PUNCT
ejpam-6750	184	5	s∗	s∗	PROPN
ejpam-6750	184	6	,	,	PUNCT
ejpam-6750	184	7	e∗	e∗	NOUN
ejpam-6750	184	8	,	,	PUNCT
ejpam-6750	184	9	i∗	i∗	NOUN
ejpam-6750	184	10	,	,	PUNCT
ejpam-6750	184	11	q∗	q∗	NOUN
ejpam-6750	184	12	,	,	PUNCT
ejpam-6750	184	13	r∗	r∗	PROPN
ejpam-6750	184	14	,	,	PUNCT
ejpam-6750	184	15	c∗	c∗	PROPN
ejpam-6750	184	16	)	)	PUNCT
ejpam-6750	184	17	be	be	VERB
ejpam-6750	184	18	a	a	DET
ejpam-6750	184	19	monkeypox	monkeypox	NOUN
ejpam-6750	184	20	endemic	endemic	ADJ
ejpam-6750	184	21	equilibrium	equilibrium	NOUN
ejpam-6750	184	22	of	of	ADP
ejpam-6750	184	23	the	the	DET
ejpam-6750	184	24	seiqr	seiqr	ADJ
ejpam-6750	184	25	-	-	PUNCT
ejpam-6750	184	26	c	c	NOUN
ejpam-6750	184	27	model	model	NOUN
ejpam-6750	184	28	.	.	PUNCT
ejpam-6750	185	1	to	to	PART
ejpam-6750	185	2	solve	solve	VERB
ejpam-6750	185	3	the	the	DET
ejpam-6750	185	4	mee	mee	PROPN
ejpam-6750	185	5	,	,	PUNCT
ejpam-6750	185	6	we	we	PRON
ejpam-6750	185	7	set	set	VERB
ejpam-6750	185	8	all	all	DET
ejpam-6750	185	9	the	the	DET
ejpam-6750	185	10	time	time	NOUN
ejpam-6750	185	11	derivatives	derivative	NOUN
ejpam-6750	185	12	in	in	ADP
ejpam-6750	185	13	the	the	DET
ejpam-6750	185	14	system	system	NOUN
ejpam-6750	185	15	(	(	PUNCT
ejpam-6750	185	16	1	1	X
ejpam-6750	185	17	)	)	PUNCT
ejpam-6750	185	18	to	to	ADP
ejpam-6750	185	19	zero	zero	NUM
ejpam-6750	185	20	.	.	PUNCT
ejpam-6750	186	1	that	that	PRON
ejpam-6750	186	2	is	is	ADV
ejpam-6750	186	3	,	,	PUNCT
ejpam-6750	186	4	λ−	λ−	PROPN
ejpam-6750	186	5	(	(	PUNCT
ejpam-6750	186	6	βhi∗	βhi∗	ADJ
ejpam-6750	186	7	+	+	CCONJ
ejpam-6750	186	8	βcc∗)s∗	βcc∗)s∗	ADJ
ejpam-6750	186	9	−	−	PROPN
ejpam-6750	186	10	µhs∗	µhs∗	PROPN
ejpam-6750	186	11	=	=	SYM
ejpam-6750	186	12	0	0	PUNCT
ejpam-6750	186	13	(	(	PUNCT
ejpam-6750	186	14	βhi∗	βhi∗	ADJ
ejpam-6750	186	15	+	+	CCONJ
ejpam-6750	186	16	βcc∗)s∗	βcc∗)s∗	ADJ
ejpam-6750	186	17	−	−	PROPN
ejpam-6750	186	18	(	(	PUNCT
ejpam-6750	186	19	γ	γ	X
ejpam-6750	186	20	+	+	X
ejpam-6750	186	21	µh)e∗	µh)e∗	PROPN
ejpam-6750	186	22	=	=	SYM
ejpam-6750	186	23	0	0	NUM
ejpam-6750	186	24	γe∗	γe∗	PROPN
ejpam-6750	186	25	−	−	PROPN
ejpam-6750	186	26	(	(	PUNCT
ejpam-6750	186	27	γ0	γ0	NOUN
ejpam-6750	186	28	+	+	NUM
ejpam-6750	186	29	θ	θ	NOUN
ejpam-6750	186	30	+	+	PUNCT
ejpam-6750	186	31	µh)i∗	µh)i∗	X
ejpam-6750	186	32	=	=	SYM
ejpam-6750	186	33	0	0	NUM
ejpam-6750	186	34	θi∗	θi∗	NOUN
ejpam-6750	186	35	−	−	PROPN
ejpam-6750	187	1	(	(	PUNCT
ejpam-6750	187	2	γq	γq	ADP
ejpam-6750	187	3	+	+	CCONJ
ejpam-6750	187	4	µh)q∗	µh)q∗	PROPN
ejpam-6750	187	5	=	=	SYM
ejpam-6750	187	6	0	0	NUM
ejpam-6750	187	7	γ0i∗	γ0i∗	PROPN
ejpam-6750	187	8	+	+	CCONJ
ejpam-6750	187	9	γqq∗	γqq∗	NOUN
ejpam-6750	187	10	−	−	PROPN
ejpam-6750	187	11	µhr∗	µhr∗	NOUN
ejpam-6750	187	12	=	=	SYM
ejpam-6750	187	13	0	0	NUM
ejpam-6750	187	14	αi∗	αi∗	NOUN
ejpam-6750	187	15	−	−	NOUN
ejpam-6750	187	16	µpc∗	µpc∗	NOUN
ejpam-6750	187	17	=	=	PUNCT
ejpam-6750	187	18	0	0	X
ejpam-6750	187	19	.	.	PUNCT
ejpam-6750	187	20	suppose	suppose	VERB
ejpam-6750	187	21	that	that	SCONJ
ejpam-6750	187	22	e∗	e∗	PROPN
ejpam-6750	187	23	=	=	SYM
ejpam-6750	187	24	(	(	PUNCT
ejpam-6750	187	25	s∗	s∗	PROPN
ejpam-6750	187	26	,	,	PUNCT
ejpam-6750	187	27	e∗	e∗	NOUN
ejpam-6750	187	28	,	,	PUNCT
ejpam-6750	187	29	i∗	i∗	NOUN
ejpam-6750	187	30	,	,	PUNCT
ejpam-6750	187	31	q∗	q∗	NOUN
ejpam-6750	187	32	,	,	PUNCT
ejpam-6750	187	33	r∗	r∗	PROPN
ejpam-6750	187	34	,	,	PUNCT
ejpam-6750	187	35	c∗	c∗	PROPN
ejpam-6750	187	36	)	)	PUNCT
ejpam-6750	187	37	is	be	AUX
ejpam-6750	187	38	a	a	DET
ejpam-6750	187	39	nontrivial	nontrivial	ADJ
ejpam-6750	187	40	equilibrium	equilibrium	NOUN
ejpam-6750	187	41	point	point	NOUN
ejpam-6750	187	42	,	,	PUNCT
ejpam-6750	187	43	where	where	SCONJ
ejpam-6750	187	44	all	all	DET
ejpam-6750	187	45	components	component	NOUN
ejpam-6750	187	46	are	be	AUX
ejpam-6750	187	47	nonzero	nonzero	ADJ
ejpam-6750	187	48	,	,	PUNCT
ejpam-6750	187	49	indicating	indicate	VERB
ejpam-6750	187	50	that	that	SCONJ
ejpam-6750	187	51	the	the	DET
ejpam-6750	187	52	environment	environment	NOUN
ejpam-6750	187	53	is	be	AUX
ejpam-6750	187	54	not	not	PART
ejpam-6750	187	55	monkeypox	monkeypox	NOUN
ejpam-6750	187	56	-	-	PUNCT
ejpam-6750	187	57	free	free	ADJ
ejpam-6750	187	58	.	.	PUNCT
ejpam-6750	188	1	to	to	PART
ejpam-6750	188	2	solve	solve	VERB
ejpam-6750	188	3	for	for	ADP
ejpam-6750	188	4	s∗	s∗	PROPN
ejpam-6750	188	5	,	,	PUNCT
ejpam-6750	188	6	we	we	PRON
ejpam-6750	188	7	can	can	AUX
ejpam-6750	188	8	express	express	VERB
ejpam-6750	188	9	the	the	DET
ejpam-6750	188	10	third	third	ADJ
ejpam-6750	188	11	and	and	CCONJ
ejpam-6750	188	12	sixth	sixth	ADJ
ejpam-6750	188	13	equations	equation	NOUN
ejpam-6750	188	14	in	in	ADP
ejpam-6750	188	15	terms	term	NOUN
ejpam-6750	188	16	of	of	ADP
ejpam-6750	188	17	i∗	i∗	NOUN
ejpam-6750	188	18	:	:	PUNCT
ejpam-6750	188	19	e∗	e∗	PROPN
ejpam-6750	188	20	=	=	SYM
ejpam-6750	188	21	(	(	PUNCT
ejpam-6750	188	22	γ0	γ0	NOUN
ejpam-6750	188	23	+	+	NUM
ejpam-6750	188	24	θ	θ	NOUN
ejpam-6750	188	25	+	+	CCONJ
ejpam-6750	189	1	µh)i∗	µh)i∗	PROPN
ejpam-6750	189	2	γ	γ	X
ejpam-6750	189	3	and	and	CCONJ
ejpam-6750	189	4	c∗	c∗	PROPN
ejpam-6750	189	5	=	=	PROPN
ejpam-6750	189	6	αi∗	αi∗	NOUN
ejpam-6750	189	7	µp	µp	NOUN
ejpam-6750	189	8	.	.	PUNCT
ejpam-6750	190	1	substituting	substitute	VERB
ejpam-6750	190	2	e∗	e∗	PROPN
ejpam-6750	190	3	and	and	CCONJ
ejpam-6750	190	4	c∗	c∗	PROPN
ejpam-6750	190	5	into	into	ADP
ejpam-6750	190	6	the	the	DET
ejpam-6750	190	7	second	second	ADJ
ejpam-6750	190	8	equation	equation	NOUN
ejpam-6750	190	9	equation	equation	NOUN
ejpam-6750	190	10	and	and	CCONJ
ejpam-6750	190	11	solving	solve	VERB
ejpam-6750	190	12	for	for	ADP
ejpam-6750	190	13	s∗	s∗	PROPN
ejpam-6750	190	14	,	,	PUNCT
ejpam-6750	190	15	we	we	PRON
ejpam-6750	190	16	obtain	obtain	VERB
ejpam-6750	190	17	s∗	s∗	PROPN
ejpam-6750	190	18	=	=	X
ejpam-6750	190	19	µp(γ	µp(γ	X
ejpam-6750	190	20	+	+	X
ejpam-6750	190	21	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	190	22	+	+	CCONJ
ejpam-6750	190	23	θ	θ	PROPN
ejpam-6750	190	24	+	+	PUNCT
ejpam-6750	190	25	µh	µh	NOUN
ejpam-6750	190	26	)	)	PUNCT
ejpam-6750	190	27	γ(βhµp	γ(βhµp	NOUN
ejpam-6750	191	1	+	+	CCONJ
ejpam-6750	191	2	βcα	βcα	NUM
ejpam-6750	191	3	)	)	PUNCT
ejpam-6750	191	4	.	.	PUNCT
ejpam-6750	192	1	(	(	PUNCT
ejpam-6750	192	2	27	27	NUM
ejpam-6750	192	3	)	)	PUNCT
ejpam-6750	192	4	next	next	ADV
ejpam-6750	192	5	,	,	PUNCT
ejpam-6750	192	6	to	to	PART
ejpam-6750	192	7	solve	solve	VERB
ejpam-6750	192	8	for	for	ADP
ejpam-6750	192	9	i∗	i∗	NOUN
ejpam-6750	192	10	,	,	PUNCT
ejpam-6750	192	11	we	we	PRON
ejpam-6750	192	12	substitute	substitute	VERB
ejpam-6750	192	13	the	the	DET
ejpam-6750	192	14	expressions	expression	NOUN
ejpam-6750	192	15	for	for	ADP
ejpam-6750	192	16	c∗	c∗	NOUN
ejpam-6750	192	17	and	and	CCONJ
ejpam-6750	192	18	s∗	s∗	VERB
ejpam-6750	192	19	into	into	ADP
ejpam-6750	192	20	the	the	DET
ejpam-6750	192	21	first	first	ADJ
ejpam-6750	192	22	equation	equation	NOUN
ejpam-6750	192	23	.	.	PUNCT
ejpam-6750	193	1	after	after	ADP
ejpam-6750	193	2	algebraic	algebraic	ADJ
ejpam-6750	193	3	manipulation	manipulation	NOUN
ejpam-6750	193	4	,	,	PUNCT
ejpam-6750	193	5	we	we	PRON
ejpam-6750	193	6	get	get	VERB
ejpam-6750	193	7	i∗	i∗	NOUN
ejpam-6750	193	8	=	=	PUNCT
ejpam-6750	194	1	λγ(βhµp	λγ(βhµp	PUNCT
ejpam-6750	194	2	+	+	PUNCT
ejpam-6750	194	3	βcα)−	βcα)−	NOUN
ejpam-6750	194	4	µhµp(γ	µhµp(γ	ADP
ejpam-6750	194	5	+	+	CCONJ
ejpam-6750	194	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	194	7	+	+	CCONJ
ejpam-6750	194	8	θ	θ	PROPN
ejpam-6750	195	1	+	+	CCONJ
ejpam-6750	195	2	µh	µh	NOUN
ejpam-6750	195	3	)	)	PUNCT
ejpam-6750	195	4	(	(	PUNCT
ejpam-6750	195	5	γ	γ	X
ejpam-6750	195	6	+	+	X
ejpam-6750	195	7	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	195	8	+	+	CCONJ
ejpam-6750	195	9	θ	θ	PROPN
ejpam-6750	195	10	+	+	PUNCT
ejpam-6750	195	11	µh)(βhµp	µh)(βhµp	NOUN
ejpam-6750	195	12	+	+	NOUN
ejpam-6750	195	13	βcα	βcα	NUM
ejpam-6750	195	14	)	)	PUNCT
ejpam-6750	195	15	.	.	PUNCT
ejpam-6750	196	1	(	(	PUNCT
ejpam-6750	196	2	28	28	NUM
ejpam-6750	196	3	)	)	PUNCT
ejpam-6750	196	4	moreover	moreover	ADV
ejpam-6750	196	5	,	,	PUNCT
ejpam-6750	196	6	the	the	DET
ejpam-6750	196	7	remaining	remain	VERB
ejpam-6750	196	8	variables	variable	NOUN
ejpam-6750	196	9	e∗	e∗	NOUN
ejpam-6750	196	10	,	,	PUNCT
ejpam-6750	196	11	q∗	q∗	PROPN
ejpam-6750	196	12	,	,	PUNCT
ejpam-6750	196	13	r∗	r∗	NOUN
ejpam-6750	196	14	and	and	CCONJ
ejpam-6750	196	15	c∗	c∗	PROPN
ejpam-6750	196	16	are	be	AUX
ejpam-6750	196	17	obtained	obtain	VERB
ejpam-6750	196	18	by	by	ADP
ejpam-6750	196	19	substituting	substitute	VERB
ejpam-6750	196	20	i∗	i∗	NOUN
ejpam-6750	196	21	into	into	ADP
ejpam-6750	196	22	the	the	DET
ejpam-6750	196	23	third	third	ADJ
ejpam-6750	196	24	,	,	PUNCT
ejpam-6750	196	25	fourth	fourth	ADJ
ejpam-6750	196	26	,	,	PUNCT
ejpam-6750	196	27	fifth	fifth	ADJ
ejpam-6750	196	28	,	,	PUNCT
ejpam-6750	196	29	and	and	CCONJ
ejpam-6750	196	30	sixth	sixth	ADJ
ejpam-6750	196	31	equations	equation	NOUN
ejpam-6750	196	32	,	,	PUNCT
ejpam-6750	196	33	respectively	respectively	ADV
ejpam-6750	196	34	.	.	PUNCT
ejpam-6750	197	1	e∗	e∗	PROPN
ejpam-6750	197	2	=	=	SYM
ejpam-6750	198	1	λγ(βhµp	λγ(βhµp	PROPN
ejpam-6750	198	2	+	+	PUNCT
ejpam-6750	198	3	βcα)−	βcα)−	NOUN
ejpam-6750	198	4	µhµp(γ	µhµp(γ	ADP
ejpam-6750	198	5	+	+	CCONJ
ejpam-6750	198	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	198	7	+	+	CCONJ
ejpam-6750	198	8	θ	θ	PROPN
ejpam-6750	198	9	+	+	CCONJ
ejpam-6750	198	10	µh	µh	NOUN
ejpam-6750	198	11	)	)	PUNCT
ejpam-6750	198	12	γ(γ	γ(γ	PROPN
ejpam-6750	199	1	+	+	PUNCT
ejpam-6750	199	2	µh)(βhµp	µh)(βhµp	VERB
ejpam-6750	199	3	+	+	NOUN
ejpam-6750	199	4	βcα	βcα	X
ejpam-6750	199	5	)	)	PUNCT
ejpam-6750	199	6	(	(	PUNCT
ejpam-6750	199	7	29	29	NUM
ejpam-6750	199	8	)	)	PUNCT
ejpam-6750	199	9	q∗	q∗	NOUN
ejpam-6750	199	10	=	=	PUNCT
ejpam-6750	199	11	λγθ(βhµp	λγθ(βhµp	PUNCT
ejpam-6750	199	12	+	+	NUM
ejpam-6750	199	13	βcα)−	βcα)−	PROPN
ejpam-6750	199	14	µhµpθ(γ	µhµpθ(γ	ADV
ejpam-6750	199	15	+	+	CCONJ
ejpam-6750	199	16	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	199	17	+	+	CCONJ
ejpam-6750	199	18	θ	θ	PROPN
ejpam-6750	199	19	+	+	PUNCT
ejpam-6750	199	20	µh	µh	NOUN
ejpam-6750	199	21	)	)	PUNCT
ejpam-6750	199	22	(	(	PUNCT
ejpam-6750	199	23	γq	γq	ADP
ejpam-6750	199	24	+	+	CCONJ
ejpam-6750	199	25	µh)(γ	µh)(γ	ADJ
ejpam-6750	199	26	+	+	PUNCT
ejpam-6750	199	27	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	199	28	+	+	CCONJ
ejpam-6750	199	29	θ	θ	PROPN
ejpam-6750	199	30	+	+	PUNCT
ejpam-6750	199	31	µh)(βhµp	µh)(βhµp	NOUN
ejpam-6750	199	32	+	+	NOUN
ejpam-6750	199	33	βcα	βcα	X
ejpam-6750	199	34	)	)	PUNCT
ejpam-6750	199	35	(	(	PUNCT
ejpam-6750	199	36	30	30	X
ejpam-6750	199	37	)	)	PUNCT
ejpam-6750	199	38	r∗	r∗	NOUN
ejpam-6750	199	39	=	=	PUNCT
ejpam-6750	199	40	γ0i∗	γ0i∗	PROPN
ejpam-6750	199	41	+	+	CCONJ
ejpam-6750	199	42	γqq∗	γqq∗	NOUN
ejpam-6750	199	43	µh	µh	NOUN
ejpam-6750	199	44	(	(	PUNCT
ejpam-6750	199	45	31	31	NUM
ejpam-6750	199	46	)	)	PUNCT
ejpam-6750	199	47	c∗	c∗	NOUN
ejpam-6750	199	48	=	=	SYM
ejpam-6750	199	49	λγα(βhµp	λγα(βhµp	X
ejpam-6750	199	50	+	+	NUM
ejpam-6750	199	51	βcα)−	βcα)−	PROPN
ejpam-6750	199	52	µhµpα(γ	µhµpα(γ	NOUN
ejpam-6750	199	53	+	+	CCONJ
ejpam-6750	199	54	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	199	55	+	+	CCONJ
ejpam-6750	200	1	θ	θ	PROPN
ejpam-6750	200	2	+	+	PUNCT
ejpam-6750	200	3	µh	µh	NOUN
ejpam-6750	200	4	)	)	PUNCT
ejpam-6750	200	5	µp(γ	µp(γ	X
ejpam-6750	200	6	+	+	PUNCT
ejpam-6750	200	7	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	200	8	+	+	CCONJ
ejpam-6750	200	9	θ	θ	PROPN
ejpam-6750	200	10	+	+	PUNCT
ejpam-6750	200	11	µh)(βhµp	µh)(βhµp	NOUN
ejpam-6750	200	12	+	+	NOUN
ejpam-6750	200	13	βcα	βcα	X
ejpam-6750	200	14	)	)	PUNCT
ejpam-6750	200	15	(	(	PUNCT
ejpam-6750	200	16	32	32	NUM
ejpam-6750	200	17	)	)	PUNCT
ejpam-6750	200	18	this	this	PRON
ejpam-6750	200	19	completes	complete	VERB
ejpam-6750	200	20	the	the	DET
ejpam-6750	200	21	proof	proof	NOUN
ejpam-6750	200	22	.	.	PUNCT
ejpam-6750	201	1	■	■	PUNCT
ejpam-6750	201	2	theorem	theorem	ADJ
ejpam-6750	201	3	5	5	NUM
ejpam-6750	201	4	.	.	PUNCT
ejpam-6750	202	1	if	if	SCONJ
ejpam-6750	202	2	r0	r0	NOUN
ejpam-6750	202	3	>	>	X
ejpam-6750	202	4	1	1	NUM
ejpam-6750	202	5	,	,	PUNCT
ejpam-6750	202	6	then	then	ADV
ejpam-6750	202	7	the	the	DET
ejpam-6750	202	8	seiqr	seiqr	ADJ
ejpam-6750	202	9	-	-	PUNCT
ejpam-6750	202	10	c	c	NOUN
ejpam-6750	202	11	model	model	NOUN
ejpam-6750	202	12	(	(	PUNCT
ejpam-6750	202	13	1	1	X
ejpam-6750	202	14	)	)	PUNCT
ejpam-6750	202	15	has	have	VERB
ejpam-6750	202	16	a	a	DET
ejpam-6750	202	17	unique	unique	ADJ
ejpam-6750	202	18	positive	positive	ADJ
ejpam-6750	202	19	endemic	endemic	ADJ
ejpam-6750	202	20	equilibrium	equilibrium	NOUN
ejpam-6750	202	21	.	.	PUNCT
ejpam-6750	203	1	j.	j.	PROPN
ejpam-6750	203	2	a.	a.	PROPN
ejpam-6750	203	3	puebla	puebla	PROPN
ejpam-6750	203	4	jr	jr	PROPN
ejpam-6750	203	5	.	.	PROPN
ejpam-6750	203	6	/	/	SYM
ejpam-6750	203	7	eur	eur	PROPN
ejpam-6750	203	8	.	.	PUNCT
ejpam-6750	204	1	j.	j.	PROPN
ejpam-6750	204	2	pure	pure	PROPN
ejpam-6750	204	3	appl	appl	PROPN
ejpam-6750	204	4	.	.	PROPN
ejpam-6750	204	5	math	math	PROPN
ejpam-6750	204	6	,	,	PUNCT
ejpam-6750	204	7	18	18	NUM
ejpam-6750	204	8	(	(	PUNCT
ejpam-6750	204	9	4	4	NUM
ejpam-6750	204	10	)	)	PUNCT
ejpam-6750	204	11	(	(	PUNCT
ejpam-6750	204	12	2025	2025	NUM
ejpam-6750	204	13	)	)	PUNCT
ejpam-6750	204	14	,	,	PUNCT
ejpam-6750	204	15	6750	6750	NUM
ejpam-6750	204	16	11	11	NUM
ejpam-6750	204	17	of	of	ADP
ejpam-6750	204	18	19	19	NUM
ejpam-6750	204	19	proof	proof	NOUN
ejpam-6750	204	20	.	.	PUNCT
ejpam-6750	205	1	let	let	VERB
ejpam-6750	205	2	r0	r0	VERB
ejpam-6750	205	3	>	>	X
ejpam-6750	205	4	1	1	X
ejpam-6750	205	5	.	.	X
ejpam-6750	205	6	note	note	VERB
ejpam-6750	205	7	that	that	SCONJ
ejpam-6750	205	8	r0	r0	NOUN
ejpam-6750	205	9	=	=	SYM
ejpam-6750	205	10	λγ(βhµp+αβc	λγ(βhµp+αβc	PROPN
ejpam-6750	205	11	)	)	PUNCT
ejpam-6750	205	12	µhµp(γ+µh)(γ0+θ+µh	µhµp(γ+µh)(γ0+θ+µh	NOUN
ejpam-6750	205	13	)	)	PUNCT
ejpam-6750	205	14	.	.	PUNCT
ejpam-6750	206	1	then	then	ADV
ejpam-6750	206	2	,	,	PUNCT
ejpam-6750	206	3	s∗	s∗	PROPN
ejpam-6750	206	4	=	=	X
ejpam-6750	206	5	µp(γ	µp(γ	X
ejpam-6750	206	6	+	+	X
ejpam-6750	206	7	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	206	8	+	+	CCONJ
ejpam-6750	206	9	θ	θ	PROPN
ejpam-6750	206	10	+	+	PUNCT
ejpam-6750	206	11	µh	µh	NOUN
ejpam-6750	206	12	)	)	PUNCT
ejpam-6750	206	13	γ(βhµp	γ(βhµp	NOUN
ejpam-6750	207	1	+	+	CCONJ
ejpam-6750	207	2	βcα	βcα	X
ejpam-6750	207	3	)	)	PUNCT
ejpam-6750	208	1	=	=	SYM
ejpam-6750	208	2	λ	λ	PROPN
ejpam-6750	208	3	µhr0	µhr0	PROPN
ejpam-6750	208	4	(	(	PUNCT
ejpam-6750	208	5	33	33	NUM
ejpam-6750	208	6	)	)	PUNCT
ejpam-6750	208	7	e∗	e∗	NOUN
ejpam-6750	208	8	=	=	SYM
ejpam-6750	209	1	λγ(βhµp	λγ(βhµp	PROPN
ejpam-6750	209	2	+	+	PUNCT
ejpam-6750	209	3	βcα)−	βcα)−	NOUN
ejpam-6750	209	4	µhµp(γ	µhµp(γ	ADP
ejpam-6750	209	5	+	+	CCONJ
ejpam-6750	209	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	209	7	+	+	CCONJ
ejpam-6750	209	8	θ	θ	PROPN
ejpam-6750	209	9	+	+	CCONJ
ejpam-6750	209	10	µh	µh	NOUN
ejpam-6750	209	11	)	)	PUNCT
ejpam-6750	209	12	γ(γ	γ(γ	PROPN
ejpam-6750	210	1	+	+	PUNCT
ejpam-6750	210	2	µh)(βhµp	µh)(βhµp	VERB
ejpam-6750	210	3	+	+	NOUN
ejpam-6750	210	4	βcα	βcα	X
ejpam-6750	210	5	)	)	PUNCT
ejpam-6750	210	6	=	=	SYM
ejpam-6750	210	7	λ(r0	λ(r0	NOUN
ejpam-6750	210	8	−	−	NOUN
ejpam-6750	210	9	1	1	NUM
ejpam-6750	210	10	)	)	PUNCT
ejpam-6750	210	11	(	(	PUNCT
ejpam-6750	210	12	γ	γ	X
ejpam-6750	210	13	+	+	X
ejpam-6750	210	14	µh)r0	µh)r0	PROPN
ejpam-6750	210	15	(	(	PUNCT
ejpam-6750	210	16	34	34	NUM
ejpam-6750	210	17	)	)	PUNCT
ejpam-6750	210	18	i∗	i∗	NOUN
ejpam-6750	211	1	=	=	PUNCT
ejpam-6750	212	1	λγ(βhµp	λγ(βhµp	PUNCT
ejpam-6750	212	2	+	+	PUNCT
ejpam-6750	212	3	βcα)−	βcα)−	NOUN
ejpam-6750	212	4	µhµp(γ	µhµp(γ	ADP
ejpam-6750	212	5	+	+	CCONJ
ejpam-6750	212	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	212	7	+	+	CCONJ
ejpam-6750	212	8	θ	θ	PROPN
ejpam-6750	213	1	+	+	CCONJ
ejpam-6750	213	2	µh	µh	NOUN
ejpam-6750	213	3	)	)	PUNCT
ejpam-6750	213	4	(	(	PUNCT
ejpam-6750	213	5	γ	γ	X
ejpam-6750	213	6	+	+	X
ejpam-6750	213	7	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	213	8	+	+	CCONJ
ejpam-6750	213	9	θ	θ	PROPN
ejpam-6750	213	10	+	+	PUNCT
ejpam-6750	213	11	µh)(βhµp	µh)(βhµp	NOUN
ejpam-6750	213	12	+	+	NOUN
ejpam-6750	213	13	βcα	βcα	X
ejpam-6750	213	14	)	)	PUNCT
ejpam-6750	213	15	=	=	PRON
ejpam-6750	214	1	λγ(r0	λγ(r0	ADJ
ejpam-6750	214	2	−	−	NUM
ejpam-6750	214	3	1	1	NUM
ejpam-6750	214	4	)	)	PUNCT
ejpam-6750	214	5	(	(	PUNCT
ejpam-6750	214	6	γ	γ	X
ejpam-6750	214	7	+	+	X
ejpam-6750	214	8	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	214	9	+	+	CCONJ
ejpam-6750	214	10	θ	θ	PROPN
ejpam-6750	214	11	+	+	CCONJ
ejpam-6750	214	12	µh)r0	µh)r0	PROPN
ejpam-6750	214	13	(	(	PUNCT
ejpam-6750	214	14	35	35	NUM
ejpam-6750	214	15	)	)	PUNCT
ejpam-6750	214	16	r∗	r∗	NOUN
ejpam-6750	214	17	=	=	PUNCT
ejpam-6750	214	18	γ0i∗	γ0i∗	PROPN
ejpam-6750	214	19	+	+	CCONJ
ejpam-6750	214	20	γqq∗	γqq∗	NOUN
ejpam-6750	215	1	µh	µh	NOUN
ejpam-6750	215	2	=	=	PUNCT
ejpam-6750	215	3	(	(	PUNCT
ejpam-6750	215	4	θr0	θr0	NOUN
ejpam-6750	215	5	−	−	NUM
ejpam-6750	215	6	1)λγ(βhµp	1)λγ(βhµp	NUM
ejpam-6750	215	7	+	+	CCONJ
ejpam-6750	215	8	βcα	βcα	NUM
ejpam-6750	215	9	)	)	PUNCT
ejpam-6750	215	10	γq(γ	γq(γ	PUNCT
ejpam-6750	216	1	+	+	CCONJ
ejpam-6750	216	2	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	216	3	+	+	CCONJ
ejpam-6750	216	4	θ	θ	PROPN
ejpam-6750	217	1	+	+	PUNCT
ejpam-6750	217	2	µh)(βhµp	µh)(βhµp	X
ejpam-6750	217	3	+	+	X
ejpam-6750	217	4	βcα)r0	βcα)r0	PUNCT
ejpam-6750	217	5	(	(	PUNCT
ejpam-6750	217	6	36	36	NUM
ejpam-6750	217	7	)	)	PUNCT
ejpam-6750	217	8	c∗	c∗	NOUN
ejpam-6750	217	9	=	=	SYM
ejpam-6750	217	10	λγα(βhµp	λγα(βhµp	X
ejpam-6750	217	11	+	+	NUM
ejpam-6750	217	12	βcα)−	βcα)−	PROPN
ejpam-6750	217	13	µhµpα(γ	µhµpα(γ	NOUN
ejpam-6750	217	14	+	+	CCONJ
ejpam-6750	217	15	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	217	16	+	+	CCONJ
ejpam-6750	217	17	θ	θ	PROPN
ejpam-6750	217	18	+	+	PUNCT
ejpam-6750	217	19	µh	µh	NOUN
ejpam-6750	217	20	)	)	PUNCT
ejpam-6750	217	21	µp(γ	µp(γ	X
ejpam-6750	217	22	+	+	PUNCT
ejpam-6750	217	23	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	217	24	+	+	CCONJ
ejpam-6750	217	25	θ	θ	PROPN
ejpam-6750	217	26	+	+	PUNCT
ejpam-6750	217	27	µh)(βhµp	µh)(βhµp	NOUN
ejpam-6750	217	28	+	+	NOUN
ejpam-6750	217	29	βcα	βcα	X
ejpam-6750	217	30	)	)	PUNCT
ejpam-6750	217	31	=	=	VERB
ejpam-6750	217	32	α(r0	α(r0	VERB
ejpam-6750	218	1	−	−	PROPN
ejpam-6750	218	2	1)λγ(βhµp	1)λγ(βhµp	NUM
ejpam-6750	218	3	+	+	CCONJ
ejpam-6750	218	4	βcα	βcα	NUM
ejpam-6750	218	5	)	)	PUNCT
ejpam-6750	218	6	µp(γ	µp(γ	X
ejpam-6750	218	7	+	+	PUNCT
ejpam-6750	218	8	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	218	9	+	+	CCONJ
ejpam-6750	218	10	θ	θ	PROPN
ejpam-6750	219	1	+	+	PUNCT
ejpam-6750	219	2	µh)(βhµp	µh)(βhµp	X
ejpam-6750	219	3	+	+	X
ejpam-6750	219	4	βcα)r0	βcα)r0	PUNCT
ejpam-6750	219	5	(	(	PUNCT
ejpam-6750	219	6	37	37	NUM
ejpam-6750	219	7	)	)	PUNCT
ejpam-6750	219	8	hence	hence	ADV
ejpam-6750	219	9	,	,	PUNCT
ejpam-6750	219	10	the	the	DET
ejpam-6750	219	11	unique	unique	ADJ
ejpam-6750	219	12	positive	positive	ADJ
ejpam-6750	219	13	endemic	endemic	ADJ
ejpam-6750	219	14	equilibrium	equilibrium	NOUN
ejpam-6750	219	15	of	of	ADP
ejpam-6750	219	16	the	the	DET
ejpam-6750	219	17	seiqr	seiqr	ADJ
ejpam-6750	219	18	-	-	PUNCT
ejpam-6750	219	19	c	c	NOUN
ejpam-6750	219	20	model	model	NOUN
ejpam-6750	219	21	(	(	PUNCT
ejpam-6750	219	22	1	1	X
ejpam-6750	219	23	)	)	PUNCT
ejpam-6750	219	24	exists	exist	VERB
ejpam-6750	219	25	when	when	SCONJ
ejpam-6750	219	26	r0	r0	NOUN
ejpam-6750	219	27	>	>	X
ejpam-6750	219	28	1	1	NUM
ejpam-6750	219	29	.	.	X
ejpam-6750	220	1	■	■	PUNCT
ejpam-6750	220	2	3.3	3.3	NUM
ejpam-6750	220	3	.	.	PUNCT
ejpam-6750	221	1	stability	stability	NOUN
ejpam-6750	221	2	analysis	analysis	NOUN
ejpam-6750	221	3	this	this	DET
ejpam-6750	221	4	section	section	NOUN
ejpam-6750	221	5	presents	present	VERB
ejpam-6750	221	6	the	the	DET
ejpam-6750	221	7	local	local	ADJ
ejpam-6750	221	8	stability	stability	NOUN
ejpam-6750	221	9	analysis	analysis	NOUN
ejpam-6750	221	10	of	of	ADP
ejpam-6750	221	11	the	the	DET
ejpam-6750	221	12	equilibrium	equilibrium	NOUN
ejpam-6750	221	13	points	point	NOUN
ejpam-6750	221	14	of	of	ADP
ejpam-6750	221	15	the	the	DET
ejpam-6750	221	16	seiqrc	seiqrc	NOUN
ejpam-6750	221	17	model	model	NOUN
ejpam-6750	221	18	for	for	ADP
ejpam-6750	221	19	monkeypox	monkeypox	NOUN
ejpam-6750	221	20	.	.	PUNCT
ejpam-6750	222	1	theorem	theorem	VERB
ejpam-6750	222	2	6	6	NUM
ejpam-6750	222	3	.	.	PUNCT
ejpam-6750	223	1	if	if	SCONJ
ejpam-6750	223	2	r0	r0	NOUN
ejpam-6750	223	3	<	<	X
ejpam-6750	223	4	1	1	NUM
ejpam-6750	223	5	,	,	PUNCT
ejpam-6750	223	6	then	then	ADV
ejpam-6750	223	7	the	the	DET
ejpam-6750	223	8	seiqr	seiqr	ADJ
ejpam-6750	223	9	-	-	PUNCT
ejpam-6750	223	10	c	c	NOUN
ejpam-6750	223	11	model	model	NOUN
ejpam-6750	223	12	(	(	PUNCT
ejpam-6750	223	13	1	1	NUM
ejpam-6750	223	14	)	)	PUNCT
ejpam-6750	223	15	is	be	AUX
ejpam-6750	223	16	locally	locally	ADV
ejpam-6750	223	17	asymptotically	asymptotically	ADV
ejpam-6750	223	18	stable	stable	ADJ
ejpam-6750	223	19	at	at	ADP
ejpam-6750	223	20	the	the	DET
ejpam-6750	223	21	monkeypox	monkeypox	NOUN
ejpam-6750	223	22	-	-	PUNCT
ejpam-6750	223	23	free	free	ADJ
ejpam-6750	223	24	equilibrium	equilibrium	NOUN
ejpam-6750	223	25	e0	e0	PROPN
ejpam-6750	223	26	and	and	CCONJ
ejpam-6750	223	27	unstable	unstable	ADJ
ejpam-6750	223	28	otherwise	otherwise	ADV
ejpam-6750	223	29	.	.	PUNCT
ejpam-6750	224	1	proof	proof	NOUN
ejpam-6750	224	2	.	.	PUNCT
ejpam-6750	225	1	the	the	DET
ejpam-6750	225	2	jacobian	jacobian	ADJ
ejpam-6750	225	3	matrix	matrix	NOUN
ejpam-6750	225	4	of	of	ADP
ejpam-6750	225	5	the	the	DET
ejpam-6750	225	6	system	system	NOUN
ejpam-6750	225	7	(	(	PUNCT
ejpam-6750	225	8	1	1	X
ejpam-6750	225	9	)	)	PUNCT
ejpam-6750	225	10	is	be	AUX
ejpam-6750	225	11	given	give	VERB
ejpam-6750	225	12	by	by	ADP
ejpam-6750	225	13	j	j	PROPN
ejpam-6750	225	14	=	=	SYM
ejpam-6750	225	15			NOUN
ejpam-6750	225	16	−(βhi	−(βhi	PROPN
ejpam-6750	226	1	+	+	CCONJ
ejpam-6750	226	2	βcc)−	βcc)−	PROPN
ejpam-6750	226	3	µh	µh	NOUN
ejpam-6750	226	4	0	0	NUM
ejpam-6750	226	5	−βhs	−βhs	NOUN
ejpam-6750	226	6	0	0	NUM
ejpam-6750	226	7	0	0	NUM
ejpam-6750	226	8	−βcs	−βcs	NOUN
ejpam-6750	227	1	βhi	βhi	PROPN
ejpam-6750	228	1	+	+	CCONJ
ejpam-6750	228	2	βcc	βcc	VERB
ejpam-6750	228	3	−(γ	−(γ	ADJ
ejpam-6750	228	4	+	+	CCONJ
ejpam-6750	228	5	µh	µh	NOUN
ejpam-6750	228	6	)	)	PUNCT
ejpam-6750	228	7	βhs	βhs	NOUN
ejpam-6750	228	8	0	0	NUM
ejpam-6750	228	9	0	0	NUM
ejpam-6750	228	10	βcs	βcs	VERB
ejpam-6750	228	11	0	0	NUM
ejpam-6750	229	1	γ	γ	PART
ejpam-6750	229	2	−(γ0	−(γ0	NOUN
ejpam-6750	229	3	+	+	NUM
ejpam-6750	229	4	θ	θ	PROPN
ejpam-6750	229	5	+	+	PUNCT
ejpam-6750	229	6	µh	µh	NOUN
ejpam-6750	229	7	)	)	PUNCT
ejpam-6750	229	8	0	0	NUM
ejpam-6750	230	1	0	0	NUM
ejpam-6750	230	2	0	0	NUM
ejpam-6750	230	3	0	0	NUM
ejpam-6750	230	4	0	0	NUM
ejpam-6750	230	5	θ	θ	NOUN
ejpam-6750	230	6	−(γq	−(γq	PROPN
ejpam-6750	231	1	+	+	CCONJ
ejpam-6750	231	2	µh	µh	NOUN
ejpam-6750	231	3	)	)	PUNCT
ejpam-6750	231	4	0	0	NUM
ejpam-6750	231	5	0	0	NUM
ejpam-6750	231	6	0	0	NUM
ejpam-6750	231	7	0	0	NUM
ejpam-6750	231	8	γ0	γ0	NOUN
ejpam-6750	231	9	γq	γq	ADP
ejpam-6750	231	10	−µh	−µh	PROPN
ejpam-6750	231	11	0	0	NUM
ejpam-6750	231	12	0	0	NUM
ejpam-6750	231	13	0	0	NUM
ejpam-6750	232	1	α	α	NOUN
ejpam-6750	232	2	0	0	NUM
ejpam-6750	232	3	0	0	NUM
ejpam-6750	232	4	−µp	−µp	PROPN
ejpam-6750	232	5			NUM
ejpam-6750	232	6	.	.	PUNCT
ejpam-6750	233	1	(	(	PUNCT
ejpam-6750	233	2	38	38	NUM
ejpam-6750	233	3	)	)	PUNCT
ejpam-6750	233	4	the	the	DET
ejpam-6750	233	5	jacobian	jacobian	ADJ
ejpam-6750	233	6	matrix	matrix	NOUN
ejpam-6750	233	7	evaluated	evaluate	VERB
ejpam-6750	233	8	at	at	ADP
ejpam-6750	233	9	e0	e0	PROPN
ejpam-6750	233	10	is	be	AUX
ejpam-6750	233	11	of	of	ADP
ejpam-6750	233	12	the	the	DET
ejpam-6750	233	13	form	form	NOUN
ejpam-6750	233	14	je0	je0	NOUN
ejpam-6750	233	15	=	=	PUNCT
ejpam-6750	233	16			NOUN
ejpam-6750	233	17	−µh	−µh	X
ejpam-6750	233	18	0	0	PUNCT
ejpam-6750	233	19	−βhλ	−βhλ	VERB
ejpam-6750	233	20	µh	µh	ADV
ejpam-6750	233	21	0	0	NUM
ejpam-6750	233	22	0	0	NUM
ejpam-6750	233	23	−βcλ	−βcλ	NOUN
ejpam-6750	234	1	µh	µh	ADP
ejpam-6750	234	2	0	0	NUM
ejpam-6750	234	3	−(γ	−(γ	ADJ
ejpam-6750	235	1	+	+	CCONJ
ejpam-6750	235	2	µh	µh	NOUN
ejpam-6750	235	3	)	)	PUNCT
ejpam-6750	236	1	βhλ	βhλ	VERB
ejpam-6750	236	2	µh	µh	NOUN
ejpam-6750	236	3	0	0	NUM
ejpam-6750	236	4	0	0	NUM
ejpam-6750	237	1	βhλ	βhλ	NOUN
ejpam-6750	237	2	µh	µh	NOUN
ejpam-6750	237	3	0	0	NUM
ejpam-6750	237	4	γ	γ	X
ejpam-6750	237	5	−(γ0	−(γ0	NOUN
ejpam-6750	237	6	+	+	NUM
ejpam-6750	237	7	θ	θ	PROPN
ejpam-6750	237	8	+	+	PUNCT
ejpam-6750	237	9	µh	µh	NOUN
ejpam-6750	237	10	)	)	PUNCT
ejpam-6750	237	11	0	0	NUM
ejpam-6750	237	12	0	0	NUM
ejpam-6750	237	13	0	0	NUM
ejpam-6750	237	14	0	0	NUM
ejpam-6750	237	15	0	0	NUM
ejpam-6750	237	16	θ	θ	NOUN
ejpam-6750	237	17	−(γq	−(γq	PROPN
ejpam-6750	238	1	+	+	CCONJ
ejpam-6750	238	2	µh	µh	NOUN
ejpam-6750	238	3	)	)	PUNCT
ejpam-6750	238	4	0	0	NUM
ejpam-6750	238	5	0	0	NUM
ejpam-6750	238	6	0	0	NUM
ejpam-6750	238	7	0	0	NUM
ejpam-6750	238	8	γ0	γ0	NOUN
ejpam-6750	238	9	γq	γq	ADP
ejpam-6750	238	10	−µh	−µh	PROPN
ejpam-6750	238	11	0	0	NUM
ejpam-6750	238	12	0	0	NUM
ejpam-6750	238	13	0	0	NUM
ejpam-6750	239	1	α	α	NOUN
ejpam-6750	239	2	0	0	NUM
ejpam-6750	239	3	0	0	NUM
ejpam-6750	239	4	−µp	−µp	NOUN
ejpam-6750	239	5			NOUN
ejpam-6750	239	6	.	.	PUNCT
ejpam-6750	240	1	(	(	PUNCT
ejpam-6750	240	2	39	39	NUM
ejpam-6750	240	3	)	)	PUNCT
ejpam-6750	240	4	j.	j.	PROPN
ejpam-6750	240	5	a.	a.	PROPN
ejpam-6750	240	6	puebla	puebla	PROPN
ejpam-6750	240	7	jr	jr	PROPN
ejpam-6750	240	8	.	.	PROPN
ejpam-6750	240	9	/	/	SYM
ejpam-6750	240	10	eur	eur	PROPN
ejpam-6750	240	11	.	.	PUNCT
ejpam-6750	241	1	j.	j.	PROPN
ejpam-6750	241	2	pure	pure	PROPN
ejpam-6750	241	3	appl	appl	PROPN
ejpam-6750	241	4	.	.	PROPN
ejpam-6750	241	5	math	math	PROPN
ejpam-6750	241	6	,	,	PUNCT
ejpam-6750	241	7	18	18	NUM
ejpam-6750	241	8	(	(	PUNCT
ejpam-6750	241	9	4	4	NUM
ejpam-6750	241	10	)	)	PUNCT
ejpam-6750	241	11	(	(	PUNCT
ejpam-6750	241	12	2025	2025	NUM
ejpam-6750	241	13	)	)	PUNCT
ejpam-6750	241	14	,	,	PUNCT
ejpam-6750	241	15	6750	6750	NUM
ejpam-6750	241	16	12	12	NUM
ejpam-6750	241	17	of	of	ADP
ejpam-6750	241	18	19	19	NUM
ejpam-6750	241	19	then	then	ADV
ejpam-6750	241	20	,	,	PUNCT
ejpam-6750	241	21	the	the	DET
ejpam-6750	241	22	first	first	ADJ
ejpam-6750	241	23	four	four	NUM
ejpam-6750	241	24	eigenvalues	eigenvalue	NOUN
ejpam-6750	241	25	obtained	obtain	VERB
ejpam-6750	241	26	are	be	AUX
ejpam-6750	241	27	λ1	λ1	ADJ
ejpam-6750	241	28	=	=	SYM
ejpam-6750	241	29	−µh	−µh	PROPN
ejpam-6750	241	30	,	,	PUNCT
ejpam-6750	241	31	λ2	λ2	NOUN
ejpam-6750	241	32	=	=	SYM
ejpam-6750	241	33	−µp	−µp	PROPN
ejpam-6750	241	34	,	,	PUNCT
ejpam-6750	241	35	λ3	λ3	PROPN
ejpam-6750	241	36	=	=	SYM
ejpam-6750	241	37	−µh	−µh	PROPN
ejpam-6750	241	38	,	,	PUNCT
ejpam-6750	241	39	and	and	CCONJ
ejpam-6750	241	40	λ4	λ4	PROPN
ejpam-6750	241	41	=	=	PROPN
ejpam-6750	242	1	−(γq	−(γq	PROPN
ejpam-6750	243	1	+	+	CCONJ
ejpam-6750	243	2	µh	µh	NOUN
ejpam-6750	243	3	)	)	PUNCT
ejpam-6750	243	4	,	,	PUNCT
ejpam-6750	244	1	while	while	SCONJ
ejpam-6750	244	2	the	the	DET
ejpam-6750	244	3	remaining	remain	VERB
ejpam-6750	244	4	two	two	NUM
ejpam-6750	244	5	eigenvalues	eigenvalue	NOUN
ejpam-6750	244	6	can	can	AUX
ejpam-6750	244	7	be	be	AUX
ejpam-6750	244	8	determined	determine	VERB
ejpam-6750	244	9	as	as	ADP
ejpam-6750	244	10	the	the	DET
ejpam-6750	244	11	roots	root	NOUN
ejpam-6750	244	12	of	of	ADP
ejpam-6750	244	13	the	the	DET
ejpam-6750	244	14	following	follow	VERB
ejpam-6750	244	15	second	second	ADJ
ejpam-6750	244	16	-	-	PUNCT
ejpam-6750	244	17	degree	degree	NOUN
ejpam-6750	244	18	polynomial	polynomial	ADJ
ejpam-6750	244	19	:	:	PUNCT
ejpam-6750	244	20	λ2	λ2	NOUN
ejpam-6750	244	21	+	+	CCONJ
ejpam-6750	244	22	(	(	PUNCT
ejpam-6750	244	23	γ	γ	X
ejpam-6750	244	24	+	+	NUM
ejpam-6750	244	25	2µh	2µh	ADJ
ejpam-6750	244	26	+	+	CCONJ
ejpam-6750	244	27	γ0	γ0	NOUN
ejpam-6750	244	28	+	+	CCONJ
ejpam-6750	244	29	θ)λ+	θ)λ+	PROPN
ejpam-6750	244	30	(	(	PUNCT
ejpam-6750	244	31	γ	γ	X
ejpam-6750	244	32	+	+	ADJ
ejpam-6750	244	33	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	244	34	+	+	CCONJ
ejpam-6750	244	35	θ	θ	PROPN
ejpam-6750	244	36	+	+	NUM
ejpam-6750	244	37	µh)−	µh)−	X
ejpam-6750	244	38	λγβh	λγβh	NOUN
ejpam-6750	244	39	µh	µh	INTJ
ejpam-6750	244	40	.	.	PUNCT
ejpam-6750	245	1	suppose	suppose	VERB
ejpam-6750	245	2	r0	r0	NOUN
ejpam-6750	245	3	<	<	X
ejpam-6750	245	4	1	1	NUM
ejpam-6750	245	5	.	.	PUNCT
ejpam-6750	246	1	then	then	ADV
ejpam-6750	246	2	r0	r0	NOUN
ejpam-6750	246	3	can	can	AUX
ejpam-6750	246	4	be	be	AUX
ejpam-6750	246	5	express	express	ADJ
ejpam-6750	246	6	as	as	SCONJ
ejpam-6750	246	7	λγβhµp	λγβhµp	VERB
ejpam-6750	246	8	µhµp(γ	µhµp(γ	ADP
ejpam-6750	246	9	+	+	CCONJ
ejpam-6750	246	10	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	246	11	+	+	CCONJ
ejpam-6750	246	12	θ	θ	PROPN
ejpam-6750	247	1	+	+	PUNCT
ejpam-6750	247	2	µh	µh	NOUN
ejpam-6750	247	3	)	)	PUNCT
ejpam-6750	248	1	+	+	CCONJ
ejpam-6750	248	2	λγαβc	λγαβc	ADV
ejpam-6750	248	3	µhµp(γ	µhµp(γ	ADP
ejpam-6750	248	4	+	+	CCONJ
ejpam-6750	248	5	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	248	6	+	+	CCONJ
ejpam-6750	248	7	θ	θ	PROPN
ejpam-6750	248	8	+	+	PUNCT
ejpam-6750	248	9	µh	µh	NOUN
ejpam-6750	248	10	)	)	PUNCT
ejpam-6750	248	11	<	<	X
ejpam-6750	249	1	1	1	X
ejpam-6750	249	2	.	.	PUNCT
ejpam-6750	249	3	it	it	PRON
ejpam-6750	249	4	follows	follow	VERB
ejpam-6750	249	5	that	that	SCONJ
ejpam-6750	249	6	,	,	PUNCT
ejpam-6750	249	7	λγβh	λγβh	PROPN
ejpam-6750	249	8	µh(γ	µh(γ	PRON
ejpam-6750	249	9	+	+	PUNCT
ejpam-6750	249	10	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	249	11	+	+	CCONJ
ejpam-6750	249	12	θ	θ	PROPN
ejpam-6750	250	1	+	+	PUNCT
ejpam-6750	250	2	µh	µh	NOUN
ejpam-6750	250	3	)	)	PUNCT
ejpam-6750	250	4	<	<	X
ejpam-6750	250	5	1	1	X
ejpam-6750	250	6	.	.	PUNCT
ejpam-6750	250	7	multiply	multiply	VERB
ejpam-6750	250	8	both	both	DET
ejpam-6750	250	9	sides	side	NOUN
ejpam-6750	250	10	by	by	ADP
ejpam-6750	250	11	(	(	PUNCT
ejpam-6750	250	12	γ	γ	X
ejpam-6750	250	13	+	+	X
ejpam-6750	250	14	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	250	15	+	+	CCONJ
ejpam-6750	250	16	θ	θ	PROPN
ejpam-6750	250	17	+	+	CCONJ
ejpam-6750	250	18	µh	µh	NOUN
ejpam-6750	250	19	)	)	PUNCT
ejpam-6750	250	20	,	,	PUNCT
ejpam-6750	250	21	we	we	PRON
ejpam-6750	250	22	have	have	VERB
ejpam-6750	250	23	λγβh	λγβh	PROPN
ejpam-6750	251	1	µh	µh	ADP
ejpam-6750	251	2	<	<	X
ejpam-6750	251	3	(	(	PUNCT
ejpam-6750	251	4	γ	γ	X
ejpam-6750	251	5	+	+	X
ejpam-6750	251	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	251	7	+	+	CCONJ
ejpam-6750	251	8	θ	θ	PROPN
ejpam-6750	251	9	+	+	CCONJ
ejpam-6750	251	10	µh	µh	NOUN
ejpam-6750	251	11	)	)	PUNCT
ejpam-6750	251	12	.	.	PUNCT
ejpam-6750	252	1	subsequently	subsequently	ADV
ejpam-6750	252	2	,	,	PUNCT
ejpam-6750	252	3	(	(	PUNCT
ejpam-6750	252	4	γ	γ	X
ejpam-6750	252	5	+	+	ADJ
ejpam-6750	252	6	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	252	7	+	+	CCONJ
ejpam-6750	252	8	θ	θ	PROPN
ejpam-6750	253	1	+	+	NUM
ejpam-6750	253	2	µh)−	µh)−	X
ejpam-6750	253	3	λγβh	λγβh	X
ejpam-6750	253	4	µh	µh	INTJ
ejpam-6750	253	5	>	>	X
ejpam-6750	253	6	0	0	X
ejpam-6750	253	7	.	.	PUNCT
ejpam-6750	253	8	by	by	ADP
ejpam-6750	253	9	routh	routh	PROPN
ejpam-6750	253	10	-	-	PUNCT
ejpam-6750	253	11	hurwitz	hurwitz	PROPN
ejpam-6750	253	12	criterion	criterion	NOUN
ejpam-6750	253	13	[	[	X
ejpam-6750	253	14	23	23	NUM
ejpam-6750	253	15	]	]	PUNCT
ejpam-6750	253	16	,	,	PUNCT
ejpam-6750	253	17	all	all	PRON
ejpam-6750	253	18	eigenvalues	eigenvalue	VERB
ejpam-6750	253	19	of	of	ADP
ejpam-6750	253	20	the	the	DET
ejpam-6750	253	21	second	second	ADJ
ejpam-6750	253	22	-	-	PUNCT
ejpam-6750	253	23	degree	degree	NOUN
ejpam-6750	253	24	polynomial	polynomial	NOUN
ejpam-6750	253	25	are	be	AUX
ejpam-6750	253	26	negative	negative	ADJ
ejpam-6750	253	27	when	when	SCONJ
ejpam-6750	253	28	r0	r0	NOUN
ejpam-6750	253	29	<	<	X
ejpam-6750	253	30	1	1	NUM
ejpam-6750	253	31	.	.	PUNCT
ejpam-6750	254	1	thus	thus	ADV
ejpam-6750	254	2	,	,	PUNCT
ejpam-6750	254	3	the	the	DET
ejpam-6750	254	4	seiqr	seiqr	ADJ
ejpam-6750	254	5	-	-	PUNCT
ejpam-6750	254	6	c	c	NOUN
ejpam-6750	254	7	model	model	NOUN
ejpam-6750	254	8	(	(	PUNCT
ejpam-6750	254	9	1	1	NUM
ejpam-6750	254	10	)	)	PUNCT
ejpam-6750	254	11	is	be	AUX
ejpam-6750	254	12	locally	locally	ADV
ejpam-6750	254	13	asymptotically	asymptotically	ADV
ejpam-6750	254	14	stable	stable	ADJ
ejpam-6750	254	15	at	at	ADP
ejpam-6750	254	16	the	the	DET
ejpam-6750	254	17	monkeypox	monkeypox	NOUN
ejpam-6750	254	18	-	-	PUNCT
ejpam-6750	254	19	free	free	ADJ
ejpam-6750	254	20	equilibrium	equilibrium	NOUN
ejpam-6750	254	21	e0	e0	PROPN
ejpam-6750	254	22	when	when	SCONJ
ejpam-6750	254	23	r0	r0	NOUN
ejpam-6750	254	24	<	<	X
ejpam-6750	254	25	1	1	NUM
ejpam-6750	254	26	and	and	CCONJ
ejpam-6750	254	27	unstable	unstable	ADJ
ejpam-6750	254	28	otherwise	otherwise	ADV
ejpam-6750	254	29	.	.	PUNCT
ejpam-6750	255	1	■	■	PUNCT
ejpam-6750	255	2	theorem	theorem	ADJ
ejpam-6750	255	3	7	7	NUM
ejpam-6750	255	4	.	.	PUNCT
ejpam-6750	256	1	if	if	SCONJ
ejpam-6750	256	2	r0	r0	NOUN
ejpam-6750	256	3	<	<	X
ejpam-6750	256	4	1	1	NUM
ejpam-6750	256	5	,	,	PUNCT
ejpam-6750	256	6	then	then	ADV
ejpam-6750	256	7	the	the	DET
ejpam-6750	256	8	seiqr	seiqr	ADJ
ejpam-6750	256	9	-	-	PUNCT
ejpam-6750	256	10	c	c	NOUN
ejpam-6750	256	11	model	model	NOUN
ejpam-6750	256	12	(	(	PUNCT
ejpam-6750	256	13	1	1	X
ejpam-6750	256	14	)	)	PUNCT
ejpam-6750	256	15	is	be	AUX
ejpam-6750	256	16	globally	globally	ADV
ejpam-6750	256	17	asymptotically	asymptotically	ADV
ejpam-6750	256	18	stable	stable	ADJ
ejpam-6750	256	19	at	at	ADP
ejpam-6750	256	20	the	the	DET
ejpam-6750	256	21	monkeypox	monkeypox	NOUN
ejpam-6750	256	22	-	-	PUNCT
ejpam-6750	256	23	free	free	ADJ
ejpam-6750	256	24	equilibrium	equilibrium	NOUN
ejpam-6750	256	25	e0	e0	PROPN
ejpam-6750	256	26	and	and	CCONJ
ejpam-6750	256	27	unstable	unstable	ADJ
ejpam-6750	256	28	otherwise	otherwise	ADV
ejpam-6750	256	29	.	.	PUNCT
ejpam-6750	257	1	proof	proof	NOUN
ejpam-6750	257	2	.	.	PUNCT
ejpam-6750	258	1	consider	consider	VERB
ejpam-6750	258	2	the	the	DET
ejpam-6750	258	3	lyapunov	lyapunov	ADJ
ejpam-6750	258	4	function	function	NOUN
ejpam-6750	258	5	below	below	ADP
ejpam-6750	258	6	l	l	NOUN
ejpam-6750	259	1	=	=	PUNCT
ejpam-6750	259	2	e	e	X
ejpam-6750	259	3	+	+	CCONJ
ejpam-6750	259	4	γ	γ	X
ejpam-6750	259	5	+	+	X
ejpam-6750	259	6	µh	µh	NOUN
ejpam-6750	259	7	γ	γ	NOUN
ejpam-6750	259	8	i	i	PRON
ejpam-6750	259	9	+	+	CCONJ
ejpam-6750	259	10	λβc	λβc	NUM
ejpam-6750	259	11	µhµp	µhµp	NOUN
ejpam-6750	259	12	c.	c.	NOUN
ejpam-6750	259	13	the	the	DET
ejpam-6750	259	14	time	time	NOUN
ejpam-6750	259	15	derivative	derivative	ADJ
ejpam-6750	259	16	of	of	ADP
ejpam-6750	259	17	l	l	NOUN
ejpam-6750	259	18	calculated	calculate	VERB
ejpam-6750	259	19	along	along	ADP
ejpam-6750	259	20	the	the	DET
ejpam-6750	259	21	solution	solution	NOUN
ejpam-6750	259	22	of	of	ADP
ejpam-6750	259	23	the	the	DET
ejpam-6750	259	24	system	system	NOUN
ejpam-6750	259	25	(	(	PUNCT
ejpam-6750	259	26	1	1	X
ejpam-6750	259	27	)	)	PUNCT
ejpam-6750	259	28	is	be	AUX
ejpam-6750	259	29	negative	negative	ADJ
ejpam-6750	259	30	definite	definite	ADJ
ejpam-6750	259	31	.	.	PUNCT
ejpam-6750	260	1	that	that	PRON
ejpam-6750	260	2	is	be	AUX
ejpam-6750	260	3	,	,	PUNCT
ejpam-6750	260	4	dl	dl	PROPN
ejpam-6750	260	5	dt	dt	NOUN
ejpam-6750	260	6	=	=	SYM
ejpam-6750	260	7	de	de	PROPN
ejpam-6750	260	8	dt	dt	PROPN
ejpam-6750	260	9	+	+	CCONJ
ejpam-6750	260	10	(	(	PUNCT
ejpam-6750	260	11	γ	γ	X
ejpam-6750	260	12	+	+	X
ejpam-6750	260	13	µh	µh	NOUN
ejpam-6750	260	14	γ	γ	NOUN
ejpam-6750	260	15	)	)	PUNCT
ejpam-6750	260	16	di	di	NOUN
ejpam-6750	260	17	dt	dt	NOUN
ejpam-6750	260	18	+	+	CCONJ
ejpam-6750	260	19	(	(	PUNCT
ejpam-6750	260	20	λβc	λβc	NUM
ejpam-6750	260	21	µhµp	µhµp	NOUN
ejpam-6750	260	22	)	)	PUNCT
ejpam-6750	261	1	dc	dc	PROPN
ejpam-6750	261	2	dt	dt	X
ejpam-6750	261	3	(	(	PUNCT
ejpam-6750	261	4	40	40	NUM
ejpam-6750	261	5	)	)	PUNCT
ejpam-6750	261	6	=	=	SYM
ejpam-6750	262	1	βhsi	βhsi	NOUN
ejpam-6750	263	1	+	+	CCONJ
ejpam-6750	263	2	βcsc	βcsc	ADJ
ejpam-6750	263	3	−	−	PROPN
ejpam-6750	263	4	(	(	PUNCT
ejpam-6750	263	5	γ	γ	X
ejpam-6750	263	6	+	+	CCONJ
ejpam-6750	263	7	µh)e	µh)e	PROPN
ejpam-6750	263	8	+	+	X
ejpam-6750	263	9	(	(	PUNCT
ejpam-6750	263	10	γ	γ	X
ejpam-6750	263	11	+	+	X
ejpam-6750	263	12	µh	µh	NOUN
ejpam-6750	263	13	γ	γ	NOUN
ejpam-6750	263	14	)	)	PUNCT
ejpam-6750	263	15	(	(	PUNCT
ejpam-6750	263	16	γe	γe	X
ejpam-6750	263	17	−	−	PROPN
ejpam-6750	263	18	(	(	PUNCT
ejpam-6750	263	19	γ0	γ0	NOUN
ejpam-6750	263	20	+	+	NUM
ejpam-6750	263	21	θ	θ	PROPN
ejpam-6750	263	22	+	+	PUNCT
ejpam-6750	263	23	µh)i	µh)i	PROPN
ejpam-6750	263	24	)	)	PUNCT
ejpam-6750	264	1	+	+	CCONJ
ejpam-6750	264	2	αβc	αβc	NOUN
ejpam-6750	264	3	µhµp	µhµp	NOUN
ejpam-6750	264	4	(	(	PUNCT
ejpam-6750	264	5	αi	αi	INTJ
ejpam-6750	264	6	−	−	PROPN
ejpam-6750	264	7	µpc	µpc	NOUN
ejpam-6750	264	8	)	)	PUNCT
ejpam-6750	264	9	(	(	PUNCT
ejpam-6750	264	10	41	41	NUM
ejpam-6750	264	11	)	)	PUNCT
ejpam-6750	264	12	j.	j.	PROPN
ejpam-6750	264	13	a.	a.	PROPN
ejpam-6750	264	14	puebla	puebla	PROPN
ejpam-6750	265	1	jr	jr	PROPN
ejpam-6750	265	2	.	.	PROPN
ejpam-6750	265	3	/	/	SYM
ejpam-6750	265	4	eur	eur	PROPN
ejpam-6750	265	5	.	.	PUNCT
ejpam-6750	266	1	j.	j.	PROPN
ejpam-6750	266	2	pure	pure	PROPN
ejpam-6750	266	3	appl	appl	PROPN
ejpam-6750	266	4	.	.	PROPN
ejpam-6750	266	5	math	math	PROPN
ejpam-6750	266	6	,	,	PUNCT
ejpam-6750	266	7	18	18	NUM
ejpam-6750	266	8	(	(	PUNCT
ejpam-6750	266	9	4	4	NUM
ejpam-6750	266	10	)	)	PUNCT
ejpam-6750	266	11	(	(	PUNCT
ejpam-6750	266	12	2025	2025	NUM
ejpam-6750	266	13	)	)	PUNCT
ejpam-6750	266	14	,	,	PUNCT
ejpam-6750	266	15	6750	6750	NUM
ejpam-6750	266	16	13	13	NUM
ejpam-6750	266	17	of	of	ADP
ejpam-6750	266	18	19	19	NUM
ejpam-6750	266	19	=	=	NUM
ejpam-6750	266	20	βhsi	βhsi	NOUN
ejpam-6750	267	1	+	+	CCONJ
ejpam-6750	267	2	(	(	PUNCT
ejpam-6750	267	3	γ	γ	X
ejpam-6750	267	4	+	+	X
ejpam-6750	267	5	µh	µh	NOUN
ejpam-6750	267	6	γ	γ	NOUN
ejpam-6750	267	7	)	)	PUNCT
ejpam-6750	267	8	(	(	PUNCT
ejpam-6750	267	9	−	−	PROPN
ejpam-6750	267	10	(	(	PUNCT
ejpam-6750	267	11	γ0	γ0	VERB
ejpam-6750	267	12	+	+	NUM
ejpam-6750	267	13	θ	θ	PROPN
ejpam-6750	267	14	+	+	PUNCT
ejpam-6750	267	15	µh)i	µh)i	PROPN
ejpam-6750	267	16	)	)	PUNCT
ejpam-6750	268	1	+	+	CCONJ
ejpam-6750	268	2	αβcα	αβcα	PROPN
ejpam-6750	268	3	µhµp	µhµp	NOUN
ejpam-6750	268	4	i	i	PRON
ejpam-6750	268	5	(	(	PUNCT
ejpam-6750	268	6	42	42	NUM
ejpam-6750	268	7	)	)	PUNCT
ejpam-6750	268	8	=	=	NOUN
ejpam-6750	268	9	(	(	PUNCT
ejpam-6750	268	10	βhλ	βhλ	X
ejpam-6750	268	11	µh	µh	NOUN
ejpam-6750	268	12	+	+	CCONJ
ejpam-6750	268	13	λβhα	λβhα	ADJ
ejpam-6750	268	14	µhµp	µhµp	NOUN
ejpam-6750	268	15	−	−	PROPN
ejpam-6750	268	16	(	(	PUNCT
ejpam-6750	268	17	γ	γ	X
ejpam-6750	268	18	+	+	X
ejpam-6750	268	19	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	268	20	+	+	CCONJ
ejpam-6750	268	21	θ	θ	PROPN
ejpam-6750	269	1	+	+	CCONJ
ejpam-6750	269	2	µh	µh	NOUN
ejpam-6750	269	3	)	)	PUNCT
ejpam-6750	269	4	γ	γ	NOUN
ejpam-6750	269	5	)	)	PUNCT
ejpam-6750	269	6	i	i	PRON
ejpam-6750	269	7	(	(	PUNCT
ejpam-6750	269	8	43	43	NUM
ejpam-6750	269	9	)	)	PUNCT
ejpam-6750	269	10	=	=	SYM
ejpam-6750	269	11	(	(	PUNCT
ejpam-6750	269	12	µpβhλ	µpβhλ	ADP
ejpam-6750	269	13	+	+	CCONJ
ejpam-6750	269	14	λβhα	λβhα	ADJ
ejpam-6750	269	15	µhµp	µhµp	NOUN
ejpam-6750	269	16	−	−	PROPN
ejpam-6750	269	17	(	(	PUNCT
ejpam-6750	269	18	γ	γ	X
ejpam-6750	269	19	+	+	X
ejpam-6750	269	20	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	269	21	+	+	CCONJ
ejpam-6750	269	22	θ	θ	PROPN
ejpam-6750	270	1	+	+	CCONJ
ejpam-6750	270	2	µh	µh	NOUN
ejpam-6750	270	3	)	)	PUNCT
ejpam-6750	270	4	γ	γ	NOUN
ejpam-6750	270	5	)	)	PUNCT
ejpam-6750	270	6	i	i	PRON
ejpam-6750	270	7	(	(	PUNCT
ejpam-6750	270	8	44	44	NUM
ejpam-6750	270	9	)	)	PUNCT
ejpam-6750	270	10	=	=	SYM
ejpam-6750	270	11	(	(	PUNCT
ejpam-6750	270	12	γ	γ	X
ejpam-6750	270	13	+	+	SYM
ejpam-6750	270	14	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	270	15	+	+	CCONJ
ejpam-6750	270	16	θ	θ	PROPN
ejpam-6750	270	17	+	+	CCONJ
ejpam-6750	270	18	µh	µh	NOUN
ejpam-6750	270	19	)	)	PUNCT
ejpam-6750	270	20	γ	γ	PROPN
ejpam-6750	270	21	(	(	PUNCT
ejpam-6750	270	22	r0	r0	NOUN
ejpam-6750	270	23	−	−	PROPN
ejpam-6750	270	24	1	1	NUM
ejpam-6750	270	25	)	)	PUNCT
ejpam-6750	270	26	i	i	PRON
ejpam-6750	270	27	(	(	PUNCT
ejpam-6750	270	28	45	45	NUM
ejpam-6750	270	29	)	)	PUNCT
ejpam-6750	270	30	≤	≤	NOUN
ejpam-6750	270	31	0	0	NUM
ejpam-6750	270	32	for	for	ADP
ejpam-6750	270	33	r0	r0	NOUN
ejpam-6750	270	34	<	<	X
ejpam-6750	270	35	1	1	NUM
ejpam-6750	270	36	.	.	PUNCT
ejpam-6750	270	37	(	(	PUNCT
ejpam-6750	270	38	46	46	NUM
ejpam-6750	270	39	)	)	PUNCT
ejpam-6750	270	40	the	the	DET
ejpam-6750	270	41	time	time	NOUN
ejpam-6750	270	42	derivative	derivative	ADJ
ejpam-6750	270	43	dl	dl	PROPN
ejpam-6750	270	44	dt	dt	NOUN
ejpam-6750	270	45	≤	≤	PROPN
ejpam-6750	270	46	0	0	NUM
ejpam-6750	271	1	whenever	whenever	SCONJ
ejpam-6750	271	2	the	the	DET
ejpam-6750	271	3	basic	basic	ADJ
ejpam-6750	271	4	reproduction	reproduction	NOUN
ejpam-6750	271	5	number	number	NOUN
ejpam-6750	271	6	r0	r0	NOUN
ejpam-6750	271	7	<	<	X
ejpam-6750	271	8	1	1	NUM
ejpam-6750	271	9	.	.	PUNCT
ejpam-6750	272	1	the	the	DET
ejpam-6750	272	2	equality	equality	NOUN
ejpam-6750	272	3	dl	dl	INTJ
ejpam-6750	272	4	dt	dt	NOUN
ejpam-6750	272	5	=	=	SYM
ejpam-6750	272	6	0	0	NUM
ejpam-6750	272	7	holds	hold	VERB
ejpam-6750	272	8	only	only	ADV
ejpam-6750	272	9	when	when	SCONJ
ejpam-6750	272	10	e	e	PROPN
ejpam-6750	272	11	=	=	NOUN
ejpam-6750	272	12	i	i	NOUN
ejpam-6750	272	13	=	=	SYM
ejpam-6750	272	14	c	c	NOUN
ejpam-6750	272	15	=	=	SYM
ejpam-6750	272	16	0	0	PROPN
ejpam-6750	272	17	,	,	PUNCT
ejpam-6750	272	18	that	that	ADV
ejpam-6750	272	19	is	is	ADV
ejpam-6750	272	20	,	,	PUNCT
ejpam-6750	272	21	at	at	ADP
ejpam-6750	272	22	the	the	DET
ejpam-6750	272	23	monkeypox	monkeypox	NOUN
ejpam-6750	272	24	-	-	PUNCT
ejpam-6750	272	25	free	free	ADJ
ejpam-6750	272	26	equilibrium	equilibrium	NOUN
ejpam-6750	272	27	e0	e0	PROPN
ejpam-6750	272	28	.	.	PUNCT
ejpam-6750	273	1	therefore	therefore	ADV
ejpam-6750	273	2	,	,	PUNCT
ejpam-6750	273	3	by	by	ADP
ejpam-6750	273	4	lasalle	lasalle	PROPN
ejpam-6750	273	5	’s	’s	PART
ejpam-6750	273	6	invariance	invariance	NOUN
ejpam-6750	273	7	principle	principle	NOUN
ejpam-6750	273	8	[	[	X
ejpam-6750	273	9	24	24	NUM
ejpam-6750	273	10	]	]	PUNCT
ejpam-6750	273	11	,	,	PUNCT
ejpam-6750	273	12	it	it	PRON
ejpam-6750	273	13	follows	follow	VERB
ejpam-6750	273	14	that	that	SCONJ
ejpam-6750	273	15	the	the	DET
ejpam-6750	273	16	largest	large	ADJ
ejpam-6750	273	17	positively	positively	ADV
ejpam-6750	273	18	invariant	invariant	ADJ
ejpam-6750	273	19	set	set	NOUN
ejpam-6750	273	20	where	where	SCONJ
ejpam-6750	273	21	dl	dl	PROPN
ejpam-6750	273	22	dt	dt	X
ejpam-6750	274	1	=	=	SYM
ejpam-6750	274	2	0	0	NUM
ejpam-6750	274	3	is	be	AUX
ejpam-6750	274	4	the	the	DET
ejpam-6750	274	5	singleton	singleton	PROPN
ejpam-6750	274	6	e0	e0	PROPN
ejpam-6750	274	7	,	,	PUNCT
ejpam-6750	274	8	and	and	CCONJ
ejpam-6750	274	9	thus	thus	ADV
ejpam-6750	274	10	all	all	DET
ejpam-6750	274	11	solutions	solution	NOUN
ejpam-6750	274	12	in	in	ADP
ejpam-6750	274	13	ω	ω	PROPN
ejpam-6750	274	14	converge	converge	NOUN
ejpam-6750	274	15	to	to	ADP
ejpam-6750	274	16	e0	e0	PROPN
ejpam-6750	274	17	.	.	PUNCT
ejpam-6750	275	1	this	this	PRON
ejpam-6750	275	2	establishes	establish	VERB
ejpam-6750	275	3	that	that	SCONJ
ejpam-6750	275	4	the	the	DET
ejpam-6750	275	5	monkey	monkey	NOUN
ejpam-6750	275	6	-	-	PUNCT
ejpam-6750	275	7	free	free	ADJ
ejpam-6750	275	8	equilibrium	equilibrium	NOUN
ejpam-6750	275	9	of	of	ADP
ejpam-6750	275	10	the	the	DET
ejpam-6750	275	11	seiqr	seiqr	ADJ
ejpam-6750	275	12	-	-	PUNCT
ejpam-6750	275	13	c	c	NOUN
ejpam-6750	275	14	model	model	NOUN
ejpam-6750	275	15	is	be	AUX
ejpam-6750	275	16	globally	globally	ADV
ejpam-6750	275	17	asymptotically	asymptotically	ADV
ejpam-6750	275	18	stable	stable	ADJ
ejpam-6750	275	19	whenever	whenever	SCONJ
ejpam-6750	275	20	r0	r0	NOUN
ejpam-6750	275	21	<	<	X
ejpam-6750	275	22	1	1	NUM
ejpam-6750	275	23	.	.	PUNCT
ejpam-6750	276	1	■	■	PUNCT
ejpam-6750	276	2	3.4	3.4	NUM
ejpam-6750	276	3	.	.	PUNCT
ejpam-6750	276	4	sensitivity	sensitivity	NOUN
ejpam-6750	276	5	analysis	analysis	NOUN
ejpam-6750	276	6	the	the	DET
ejpam-6750	276	7	sensitivity	sensitivity	NOUN
ejpam-6750	276	8	index	index	NOUN
ejpam-6750	276	9	quantifies	quantify	VERB
ejpam-6750	276	10	the	the	DET
ejpam-6750	276	11	relative	relative	ADJ
ejpam-6750	276	12	change	change	NOUN
ejpam-6750	276	13	in	in	ADP
ejpam-6750	276	14	r0	r0	NOUN
ejpam-6750	276	15	in	in	ADP
ejpam-6750	276	16	response	response	NOUN
ejpam-6750	276	17	to	to	ADP
ejpam-6750	276	18	a	a	DET
ejpam-6750	276	19	relative	relative	ADJ
ejpam-6750	276	20	change	change	NOUN
ejpam-6750	276	21	in	in	ADP
ejpam-6750	276	22	a	a	DET
ejpam-6750	276	23	parameter	parameter	NOUN
ejpam-6750	277	1	[	[	X
ejpam-6750	277	2	25	25	NUM
ejpam-6750	277	3	]	]	PUNCT
ejpam-6750	277	4	.	.	PUNCT
ejpam-6750	278	1	given	give	VERB
ejpam-6750	278	2	the	the	DET
ejpam-6750	278	3	basic	basic	ADJ
ejpam-6750	278	4	reproduction	reproduction	NOUN
ejpam-6750	278	5	number	number	NOUN
ejpam-6750	278	6	for	for	ADP
ejpam-6750	278	7	the	the	DET
ejpam-6750	278	8	seiqr	seiqr	ADJ
ejpam-6750	278	9	-	-	PUNCT
ejpam-6750	278	10	c	c	NOUN
ejpam-6750	278	11	model	model	NOUN
ejpam-6750	278	12	(	(	PUNCT
ejpam-6750	278	13	1	1	X
ejpam-6750	278	14	)	)	PUNCT
ejpam-6750	278	15	r0	r0	NOUN
ejpam-6750	278	16	=	=	PUNCT
ejpam-6750	278	17	λγ(βhµp	λγ(βhµp	PROPN
ejpam-6750	278	18	+	+	CCONJ
ejpam-6750	278	19	αβc	αβc	NOUN
ejpam-6750	278	20	)	)	PUNCT
ejpam-6750	278	21	µhµp(γ	µhµp(γ	ADP
ejpam-6750	278	22	+	+	CCONJ
ejpam-6750	278	23	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	278	24	+	+	CCONJ
ejpam-6750	278	25	θ	θ	PROPN
ejpam-6750	278	26	+	+	PUNCT
ejpam-6750	278	27	µh	µh	NOUN
ejpam-6750	278	28	)	)	PUNCT
ejpam-6750	278	29	(	(	PUNCT
ejpam-6750	278	30	47	47	NUM
ejpam-6750	278	31	)	)	PUNCT
ejpam-6750	278	32	the	the	DET
ejpam-6750	278	33	sensitivity	sensitivity	NOUN
ejpam-6750	278	34	index	index	NOUN
ejpam-6750	278	35	of	of	ADP
ejpam-6750	278	36	r0	r0	NOUN
ejpam-6750	278	37	with	with	ADP
ejpam-6750	278	38	respect	respect	NOUN
ejpam-6750	278	39	to	to	ADP
ejpam-6750	278	40	a	a	DET
ejpam-6750	278	41	parameter	parameter	NOUN
ejpam-6750	278	42	p	p	NOUN
ejpam-6750	278	43	is	be	AUX
ejpam-6750	278	44	defined	define	VERB
ejpam-6750	278	45	as	as	ADP
ejpam-6750	278	46	sp	sp	ADP
ejpam-6750	278	47	=	=	NOUN
ejpam-6750	278	48	∂r0	∂r0	PROPN
ejpam-6750	278	49	∂p	∂p	PROPN
ejpam-6750	278	50	·	·	PUNCT
ejpam-6750	278	51	p	p	NOUN
ejpam-6750	278	52	r0	r0	NOUN
ejpam-6750	278	53	.	.	PUNCT
ejpam-6750	279	1	(	(	PUNCT
ejpam-6750	279	2	48	48	NUM
ejpam-6750	279	3	)	)	PUNCT
ejpam-6750	279	4	the	the	DET
ejpam-6750	279	5	sensitivity	sensitivity	NOUN
ejpam-6750	279	6	index	index	NOUN
ejpam-6750	279	7	for	for	ADP
ejpam-6750	279	8	each	each	DET
ejpam-6750	279	9	parameter	parameter	NOUN
ejpam-6750	279	10	of	of	ADP
ejpam-6750	279	11	the	the	DET
ejpam-6750	279	12	seiqr	seiqr	ADJ
ejpam-6750	279	13	-	-	PUNCT
ejpam-6750	279	14	c	c	NOUN
ejpam-6750	279	15	model	model	NOUN
ejpam-6750	279	16	(	(	PUNCT
ejpam-6750	279	17	1	1	NUM
ejpam-6750	279	18	)	)	PUNCT
ejpam-6750	279	19	with	with	ADP
ejpam-6750	279	20	respect	respect	NOUN
ejpam-6750	279	21	to	to	ADP
ejpam-6750	279	22	r0	r0	NOUN
ejpam-6750	279	23	is	be	AUX
ejpam-6750	279	24	given	give	VERB
ejpam-6750	279	25	by	by	ADP
ejpam-6750	279	26	:	:	PUNCT
ejpam-6750	279	27	sλ	sλ	NOUN
ejpam-6750	279	28	=	=	SYM
ejpam-6750	279	29	∂r0	∂r0	PROPN
ejpam-6750	279	30	∂λ	∂λ	PROPN
ejpam-6750	279	31	·	·	PUNCT
ejpam-6750	279	32	λ	λ	NOUN
ejpam-6750	279	33	r0	r0	NOUN
ejpam-6750	279	34	=	=	SYM
ejpam-6750	279	35	1	1	NUM
ejpam-6750	279	36	(	(	PUNCT
ejpam-6750	279	37	49	49	NUM
ejpam-6750	280	1	)	)	PUNCT
ejpam-6750	280	2	sγ	sγ	NOUN
ejpam-6750	280	3	=	=	PUNCT
ejpam-6750	281	1	∂r0	∂r0	ADP
ejpam-6750	281	2	∂γ	∂γ	PROPN
ejpam-6750	281	3	·	·	PUNCT
ejpam-6750	281	4	γ	γ	X
ejpam-6750	281	5	r0	r0	NOUN
ejpam-6750	281	6	=	=	SYM
ejpam-6750	281	7	r0	r0	NOUN
ejpam-6750	281	8	(	(	PUNCT
ejpam-6750	281	9	1	1	NUM
ejpam-6750	281	10	γ	γ	NOUN
ejpam-6750	281	11	−	−	PROPN
ejpam-6750	281	12	1	1	NUM
ejpam-6750	281	13	γ	γ	X
ejpam-6750	281	14	+	+	X
ejpam-6750	281	15	µh	µh	NOUN
ejpam-6750	281	16	)	)	PUNCT
ejpam-6750	281	17	·	·	PUNCT
ejpam-6750	281	18	γ	γ	X
ejpam-6750	281	19	r0	r0	NOUN
ejpam-6750	281	20	=	=	PUNCT
ejpam-6750	281	21	µh	µh	NOUN
ejpam-6750	281	22	γ	γ	NOUN
ejpam-6750	281	23	+	+	X
ejpam-6750	281	24	µh	µh	PROPN
ejpam-6750	281	25	(	(	PUNCT
ejpam-6750	281	26	50	50	NUM
ejpam-6750	281	27	)	)	PUNCT
ejpam-6750	281	28	sβh	sβh	NOUN
ejpam-6750	281	29	=	=	SYM
ejpam-6750	281	30	∂r0	∂r0	ADP
ejpam-6750	281	31	∂βh	∂βh	PROPN
ejpam-6750	281	32	·	·	PUNCT
ejpam-6750	281	33	βh	βh	NUM
ejpam-6750	281	34	r0	r0	NOUN
ejpam-6750	281	35	=	=	PUNCT
ejpam-6750	281	36	βhµp	βhµp	NOUN
ejpam-6750	281	37	βhµp	βhµp	NOUN
ejpam-6750	282	1	+	+	CCONJ
ejpam-6750	282	2	αβc	αβc	X
ejpam-6750	282	3	(	(	PUNCT
ejpam-6750	282	4	51	51	NUM
ejpam-6750	282	5	)	)	PUNCT
ejpam-6750	282	6	sβc	sβc	PROPN
ejpam-6750	282	7	=	=	PUNCT
ejpam-6750	283	1	∂r0	∂r0	ADP
ejpam-6750	283	2	∂βc	∂βc	PROPN
ejpam-6750	283	3	·	·	PUNCT
ejpam-6750	283	4	βc	βc	X
ejpam-6750	283	5	r0	r0	NOUN
ejpam-6750	283	6	=	=	PROPN
ejpam-6750	283	7	αβc	αβc	NOUN
ejpam-6750	283	8	βhµp	βhµp	NOUN
ejpam-6750	284	1	+	+	CCONJ
ejpam-6750	284	2	αβc	αβc	X
ejpam-6750	284	3	(	(	PUNCT
ejpam-6750	284	4	52	52	NUM
ejpam-6750	284	5	)	)	PUNCT
ejpam-6750	284	6	sα	sα	ADV
ejpam-6750	284	7	=	=	PUNCT
ejpam-6750	285	1	∂r0	∂r0	PROPN
ejpam-6750	285	2	∂α	∂α	PROPN
ejpam-6750	285	3	·	·	PUNCT
ejpam-6750	285	4	α	α	X
ejpam-6750	285	5	r0	r0	NOUN
ejpam-6750	285	6	=	=	SYM
ejpam-6750	286	1	αβc	αβc	NOUN
ejpam-6750	286	2	βhµp	βhµp	NOUN
ejpam-6750	287	1	+	+	CCONJ
ejpam-6750	287	2	αβc	αβc	X
ejpam-6750	287	3	(	(	PUNCT
ejpam-6750	287	4	53	53	NUM
ejpam-6750	287	5	)	)	PUNCT
ejpam-6750	287	6	j.	j.	PROPN
ejpam-6750	287	7	a.	a.	PROPN
ejpam-6750	287	8	puebla	puebla	PROPN
ejpam-6750	288	1	jr	jr	PROPN
ejpam-6750	288	2	.	.	PROPN
ejpam-6750	288	3	/	/	SYM
ejpam-6750	288	4	eur	eur	PROPN
ejpam-6750	288	5	.	.	PUNCT
ejpam-6750	289	1	j.	j.	PROPN
ejpam-6750	289	2	pure	pure	PROPN
ejpam-6750	289	3	appl	appl	PROPN
ejpam-6750	289	4	.	.	PROPN
ejpam-6750	289	5	math	math	PROPN
ejpam-6750	289	6	,	,	PUNCT
ejpam-6750	289	7	18	18	NUM
ejpam-6750	289	8	(	(	PUNCT
ejpam-6750	289	9	4	4	NUM
ejpam-6750	289	10	)	)	PUNCT
ejpam-6750	289	11	(	(	PUNCT
ejpam-6750	289	12	2025	2025	NUM
ejpam-6750	289	13	)	)	PUNCT
ejpam-6750	289	14	,	,	PUNCT
ejpam-6750	289	15	6750	6750	NUM
ejpam-6750	289	16	14	14	NUM
ejpam-6750	289	17	of	of	ADP
ejpam-6750	289	18	19	19	NUM
ejpam-6750	289	19	sµp	sµp	NOUN
ejpam-6750	289	20	=	=	PUNCT
ejpam-6750	290	1	∂r0	∂r0	ADP
ejpam-6750	290	2	∂µp	∂µp	PROPN
ejpam-6750	290	3	·	·	PUNCT
ejpam-6750	290	4	µp	µp	NOUN
ejpam-6750	290	5	r0	r0	NOUN
ejpam-6750	290	6	=	=	PUNCT
ejpam-6750	290	7	−	−	PROPN
ejpam-6750	290	8	αβc	αβc	NOUN
ejpam-6750	290	9	βhµp	βhµp	NOUN
ejpam-6750	291	1	+	+	CCONJ
ejpam-6750	291	2	αβc	αβc	X
ejpam-6750	291	3	(	(	PUNCT
ejpam-6750	291	4	54	54	NUM
ejpam-6750	291	5	)	)	PUNCT
ejpam-6750	291	6	sµh	sµh	NOUN
ejpam-6750	291	7	=	=	PUNCT
ejpam-6750	292	1	∂r0	∂r0	ADP
ejpam-6750	292	2	∂µh	∂µh	PROPN
ejpam-6750	292	3	·	·	PUNCT
ejpam-6750	292	4	µh	µh	ADP
ejpam-6750	292	5	r0	r0	NOUN
ejpam-6750	292	6	=	=	SYM
ejpam-6750	292	7	−1−	−1−	PROPN
ejpam-6750	292	8	µh(γ	µh(γ	X
ejpam-6750	292	9	+	+	NUM
ejpam-6750	292	10	γ0	γ0	NOUN
ejpam-6750	292	11	+	+	NUM
ejpam-6750	292	12	θ	θ	NOUN
ejpam-6750	292	13	+	+	CCONJ
ejpam-6750	292	14	2µh	2µh	ADJ
ejpam-6750	292	15	)	)	PUNCT
ejpam-6750	292	16	(	(	PUNCT
ejpam-6750	292	17	γ	γ	X
ejpam-6750	292	18	+	+	SYM
ejpam-6750	292	19	µh)(γ0	µh)(γ0	NOUN
ejpam-6750	292	20	+	+	CCONJ
ejpam-6750	292	21	θ	θ	PROPN
ejpam-6750	292	22	+	+	CCONJ
ejpam-6750	292	23	µh	µh	NOUN
ejpam-6750	292	24	)	)	PUNCT
ejpam-6750	292	25	(	(	PUNCT
ejpam-6750	292	26	55	55	NUM
ejpam-6750	292	27	)	)	PUNCT
ejpam-6750	292	28	sγ0	sγ0	NOUN
ejpam-6750	292	29	=	=	SYM
ejpam-6750	292	30	∂r0	∂r0	ADP
ejpam-6750	292	31	∂γ0	∂γ0	NOUN
ejpam-6750	292	32	·	·	PUNCT
ejpam-6750	292	33	γ0	γ0	NOUN
ejpam-6750	292	34	r0	r0	NOUN
ejpam-6750	292	35	=	=	PUNCT
ejpam-6750	292	36	−	−	PROPN
ejpam-6750	292	37	γ0	γ0	NOUN
ejpam-6750	292	38	γ0	γ0	NOUN
ejpam-6750	292	39	+	+	CCONJ
ejpam-6750	292	40	θ	θ	X
ejpam-6750	293	1	+	+	CCONJ
ejpam-6750	293	2	µh	µh	PROPN
ejpam-6750	293	3	(	(	PUNCT
ejpam-6750	293	4	56	56	NUM
ejpam-6750	293	5	)	)	PUNCT
ejpam-6750	293	6	sθ	sθ	ADP
ejpam-6750	293	7	=	=	SYM
ejpam-6750	294	1	∂r0	∂r0	PROPN
ejpam-6750	294	2	∂θ	∂θ	NOUN
ejpam-6750	294	3	·	·	PUNCT
ejpam-6750	294	4	θ	θ	X
ejpam-6750	294	5	r0	r0	NOUN
ejpam-6750	294	6	=	=	PUNCT
ejpam-6750	294	7	−	−	NUM
ejpam-6750	294	8	θ	θ	NOUN
ejpam-6750	294	9	γ0	γ0	VERB
ejpam-6750	294	10	+	+	CCONJ
ejpam-6750	294	11	θ	θ	X
ejpam-6750	295	1	+	+	CCONJ
ejpam-6750	295	2	µh	µh	INTJ
ejpam-6750	295	3	.	.	PUNCT
ejpam-6750	296	1	(	(	PUNCT
ejpam-6750	296	2	57	57	NUM
ejpam-6750	296	3	)	)	PUNCT
ejpam-6750	296	4	(	(	PUNCT
ejpam-6750	296	5	58	58	X
ejpam-6750	296	6	)	)	PUNCT
ejpam-6750	296	7	figure	figure	NOUN
ejpam-6750	296	8	2	2	NUM
ejpam-6750	296	9	:	:	PUNCT
ejpam-6750	296	10	sensitivity	sensitivity	NOUN
ejpam-6750	296	11	indices	index	NOUN
ejpam-6750	296	12	of	of	ADP
ejpam-6750	296	13	the	the	DET
ejpam-6750	296	14	seiqr	seiqr	ADJ
ejpam-6750	296	15	-	-	PUNCT
ejpam-6750	296	16	c	c	NOUN
ejpam-6750	296	17	model	model	NOUN
ejpam-6750	296	18	parameters	parameter	NOUN
ejpam-6750	296	19	figure	figure	VERB
ejpam-6750	296	20	2	2	NUM
ejpam-6750	296	21	presents	present	VERB
ejpam-6750	296	22	the	the	DET
ejpam-6750	296	23	sensitivity	sensitivity	NOUN
ejpam-6750	296	24	indices	index	NOUN
ejpam-6750	296	25	of	of	ADP
ejpam-6750	296	26	the	the	DET
ejpam-6750	296	27	seiqr	seiqr	ADJ
ejpam-6750	296	28	-	-	PUNCT
ejpam-6750	296	29	c	c	NOUN
ejpam-6750	296	30	model	model	NOUN
ejpam-6750	296	31	.	.	PUNCT
ejpam-6750	297	1	the	the	DET
ejpam-6750	297	2	results	result	NOUN
ejpam-6750	297	3	reveal	reveal	VERB
ejpam-6750	297	4	that	that	SCONJ
ejpam-6750	297	5	the	the	DET
ejpam-6750	297	6	recruitment	recruitment	NOUN
ejpam-6750	297	7	rate	rate	NOUN
ejpam-6750	297	8	(	(	PUNCT
ejpam-6750	297	9	λ	λ	NOUN
ejpam-6750	297	10	)	)	PUNCT
ejpam-6750	297	11	,	,	PUNCT
ejpam-6750	297	12	the	the	DET
ejpam-6750	297	13	human	human	NOUN
ejpam-6750	297	14	-	-	PUNCT
ejpam-6750	297	15	to	to	ADP
ejpam-6750	297	16	-	-	PUNCT
ejpam-6750	297	17	human	human	ADJ
ejpam-6750	297	18	transmission	transmission	NOUN
ejpam-6750	297	19	rate	rate	NOUN
ejpam-6750	297	20	(	(	PUNCT
ejpam-6750	297	21	βh	βh	PROPN
ejpam-6750	297	22	)	)	PUNCT
ejpam-6750	297	23	,	,	PUNCT
ejpam-6750	297	24	the	the	DET
ejpam-6750	297	25	progression	progression	NOUN
ejpam-6750	297	26	rate	rate	NOUN
ejpam-6750	297	27	from	from	ADP
ejpam-6750	297	28	exposed	expose	VERB
ejpam-6750	297	29	to	to	ADP
ejpam-6750	297	30	infectious	infectious	ADJ
ejpam-6750	297	31	individuals	individual	NOUN
ejpam-6750	297	32	(	(	PUNCT
ejpam-6750	297	33	γ	γ	NOUN
ejpam-6750	297	34	)	)	PUNCT
ejpam-6750	297	35	,	,	PUNCT
ejpam-6750	297	36	the	the	DET
ejpam-6750	297	37	transmission	transmission	NOUN
ejpam-6750	297	38	rate	rate	NOUN
ejpam-6750	297	39	from	from	ADP
ejpam-6750	297	40	contaminated	contaminate	VERB
ejpam-6750	297	41	surfaces	surface	NOUN
ejpam-6750	297	42	(	(	PUNCT
ejpam-6750	297	43	βc	βc	INTJ
ejpam-6750	297	44	)	)	PUNCT
ejpam-6750	297	45	,	,	PUNCT
ejpam-6750	297	46	and	and	CCONJ
ejpam-6750	297	47	the	the	DET
ejpam-6750	297	48	contamination	contamination	NOUN
ejpam-6750	297	49	rate	rate	NOUN
ejpam-6750	297	50	(	(	PUNCT
ejpam-6750	297	51	α	α	NOUN
ejpam-6750	297	52	)	)	PUNCT
ejpam-6750	297	53	exhibit	exhibit	VERB
ejpam-6750	297	54	a	a	DET
ejpam-6750	297	55	positive	positive	ADJ
ejpam-6750	297	56	impact	impact	NOUN
ejpam-6750	297	57	on	on	ADP
ejpam-6750	297	58	the	the	DET
ejpam-6750	297	59	basic	basic	ADJ
ejpam-6750	297	60	reproduction	reproduction	NOUN
ejpam-6750	297	61	number	number	NOUN
ejpam-6750	297	62	(	(	PUNCT
ejpam-6750	297	63	r0	r0	NOUN
ejpam-6750	297	64	)	)	PUNCT
ejpam-6750	297	65	.	.	PUNCT
ejpam-6750	298	1	this	this	PRON
ejpam-6750	298	2	indicates	indicate	VERB
ejpam-6750	298	3	that	that	SCONJ
ejpam-6750	298	4	increases	increase	NOUN
ejpam-6750	298	5	in	in	ADP
ejpam-6750	298	6	these	these	DET
ejpam-6750	298	7	parameters	parameter	NOUN
ejpam-6750	298	8	contribute	contribute	VERB
ejpam-6750	298	9	to	to	ADP
ejpam-6750	298	10	a	a	DET
ejpam-6750	298	11	higher	high	ADJ
ejpam-6750	298	12	potential	potential	NOUN
ejpam-6750	298	13	for	for	ADP
ejpam-6750	298	14	monkeypox	monkeypox	NOUN
ejpam-6750	298	15	transmission	transmission	NOUN
ejpam-6750	298	16	.	.	PUNCT
ejpam-6750	299	1	conversely	conversely	ADV
ejpam-6750	299	2	,	,	PUNCT
ejpam-6750	299	3	the	the	DET
ejpam-6750	299	4	cleaning	cleaning	NOUN
ejpam-6750	299	5	or	or	CCONJ
ejpam-6750	299	6	decay	decay	NOUN
ejpam-6750	299	7	rate	rate	NOUN
ejpam-6750	299	8	(	(	PUNCT
ejpam-6750	299	9	µp	µp	NOUN
ejpam-6750	299	10	)	)	PUNCT
ejpam-6750	299	11	,	,	PUNCT
ejpam-6750	299	12	the	the	DET
ejpam-6750	299	13	natural	natural	ADJ
ejpam-6750	299	14	death	death	NOUN
ejpam-6750	299	15	rate	rate	NOUN
ejpam-6750	299	16	(	(	PUNCT
ejpam-6750	299	17	µh	µh	NOUN
ejpam-6750	299	18	)	)	PUNCT
ejpam-6750	299	19	,	,	PUNCT
ejpam-6750	299	20	the	the	DET
ejpam-6750	299	21	recovery	recovery	NOUN
ejpam-6750	299	22	rate	rate	NOUN
ejpam-6750	299	23	(	(	PUNCT
ejpam-6750	299	24	γ0	γ0	PROPN
ejpam-6750	299	25	)	)	PUNCT
ejpam-6750	299	26	,	,	PUNCT
ejpam-6750	299	27	and	and	CCONJ
ejpam-6750	299	28	the	the	DET
ejpam-6750	299	29	quarantine	quarantine	NOUN
ejpam-6750	299	30	rate	rate	NOUN
ejpam-6750	299	31	(	(	PUNCT
ejpam-6750	299	32	θ	θ	NOUN
ejpam-6750	299	33	)	)	PUNCT
ejpam-6750	299	34	show	show	VERB
ejpam-6750	299	35	negative	negative	ADJ
ejpam-6750	299	36	sensitivity	sensitivity	NOUN
ejpam-6750	299	37	indices	index	NOUN
ejpam-6750	299	38	.	.	PUNCT
ejpam-6750	300	1	this	this	PRON
ejpam-6750	300	2	suggests	suggest	VERB
ejpam-6750	300	3	that	that	SCONJ
ejpam-6750	300	4	increasing	increase	VERB
ejpam-6750	300	5	these	these	DET
ejpam-6750	300	6	parameters	parameter	NOUN
ejpam-6750	300	7	effectively	effectively	ADV
ejpam-6750	300	8	reduces	reduce	VERB
ejpam-6750	300	9	r0	r0	NOUN
ejpam-6750	300	10	,	,	PUNCT
ejpam-6750	300	11	leading	lead	VERB
ejpam-6750	300	12	to	to	ADP
ejpam-6750	300	13	a	a	DET
ejpam-6750	300	14	decrease	decrease	NOUN
ejpam-6750	300	15	in	in	ADP
ejpam-6750	300	16	the	the	DET
ejpam-6750	300	17	number	number	NOUN
ejpam-6750	300	18	of	of	ADP
ejpam-6750	300	19	individuals	individual	NOUN
ejpam-6750	300	20	infected	infect	VERB
ejpam-6750	300	21	with	with	ADP
ejpam-6750	300	22	monkeypox	monkeypox	NOUN
ejpam-6750	300	23	.	.	PUNCT
ejpam-6750	301	1	4	4	X
ejpam-6750	301	2	.	.	X
ejpam-6750	301	3	simulation	simulation	NOUN
ejpam-6750	301	4	in	in	ADP
ejpam-6750	301	5	this	this	DET
ejpam-6750	301	6	section	section	NOUN
ejpam-6750	301	7	,	,	PUNCT
ejpam-6750	301	8	we	we	PRON
ejpam-6750	301	9	present	present	VERB
ejpam-6750	301	10	numerical	numerical	ADJ
ejpam-6750	301	11	simulations	simulation	NOUN
ejpam-6750	301	12	to	to	PART
ejpam-6750	301	13	illustrate	illustrate	VERB
ejpam-6750	301	14	the	the	DET
ejpam-6750	301	15	theoretical	theoretical	ADJ
ejpam-6750	301	16	findings	finding	NOUN
ejpam-6750	301	17	.	.	PUNCT
ejpam-6750	302	1	the	the	DET
ejpam-6750	302	2	parameter	parameter	NOUN
ejpam-6750	302	3	values	value	NOUN
ejpam-6750	302	4	used	use	VERB
ejpam-6750	302	5	in	in	ADP
ejpam-6750	302	6	the	the	DET
ejpam-6750	302	7	simulations	simulation	NOUN
ejpam-6750	302	8	are	be	AUX
ejpam-6750	302	9	listed	list	VERB
ejpam-6750	302	10	in	in	ADP
ejpam-6750	302	11	table	table	NOUN
ejpam-6750	302	12	1	1	NUM
ejpam-6750	302	13	.	.	PUNCT
ejpam-6750	302	14	simulation	simulation	NOUN
ejpam-6750	302	15	1	1	NUM
ejpam-6750	302	16	.	.	PUNCT
ejpam-6750	303	1	the	the	DET
ejpam-6750	303	2	parameter	parameter	NOUN
ejpam-6750	303	3	values	value	NOUN
ejpam-6750	303	4	utilized	utilize	VERB
ejpam-6750	303	5	in	in	ADP
ejpam-6750	303	6	this	this	DET
ejpam-6750	303	7	study	study	NOUN
ejpam-6750	303	8	are	be	AUX
ejpam-6750	303	9	presented	present	VERB
ejpam-6750	303	10	in	in	ADP
ejpam-6750	303	11	table	table	NOUN
ejpam-6750	303	12	1	1	NUM
ejpam-6750	303	13	.	.	PUNCT
ejpam-6750	303	14	using	use	VERB
ejpam-6750	303	15	these	these	DET
ejpam-6750	303	16	parameters	parameter	NOUN
ejpam-6750	303	17	,	,	PUNCT
ejpam-6750	303	18	we	we	PRON
ejpam-6750	303	19	compute	compute	VERB
ejpam-6750	303	20	the	the	DET
ejpam-6750	303	21	basic	basic	ADJ
ejpam-6750	303	22	reproduction	reproduction	NOUN
ejpam-6750	303	23	number	number	NOUN
ejpam-6750	303	24	as	as	ADP
ejpam-6750	303	25	r0	r0	NOUN
ejpam-6750	303	26	=	=	NOUN
ejpam-6750	303	27	0.917	0.917	NUM
ejpam-6750	303	28	,	,	PUNCT
ejpam-6750	303	29	and	and	CCONJ
ejpam-6750	303	30	determine	determine	VERB
ejpam-6750	303	31	the	the	DET
ejpam-6750	303	32	monkeypox	monkeypox	NOUN
ejpam-6750	303	33	-	-	PUNCT
ejpam-6750	303	34	free	free	ADJ
ejpam-6750	303	35	equilibrium	equilibrium	NOUN
ejpam-6750	303	36	to	to	PART
ejpam-6750	303	37	be	be	AUX
ejpam-6750	303	38	e0	e0	PROPN
ejpam-6750	303	39	=	=	PUNCT
ejpam-6750	303	40	(	(	PUNCT
ejpam-6750	303	41	25	25	NUM
ejpam-6750	303	42	,	,	PUNCT
ejpam-6750	303	43	0	0	NUM
ejpam-6750	303	44	,	,	PUNCT
ejpam-6750	303	45	0	0	NUM
ejpam-6750	303	46	,	,	PUNCT
ejpam-6750	303	47	0	0	NUM
ejpam-6750	303	48	,	,	PUNCT
ejpam-6750	303	49	0	0	NUM
ejpam-6750	303	50	,	,	PUNCT
ejpam-6750	303	51	0	0	NUM
ejpam-6750	303	52	)	)	PUNCT
ejpam-6750	303	53	.	.	PUNCT
ejpam-6750	304	1	the	the	DET
ejpam-6750	304	2	initial	initial	ADJ
ejpam-6750	304	3	j.	j.	PROPN
ejpam-6750	304	4	a.	a.	PROPN
ejpam-6750	304	5	puebla	puebla	PROPN
ejpam-6750	304	6	jr	jr	PROPN
ejpam-6750	304	7	.	.	PROPN
ejpam-6750	304	8	/	/	SYM
ejpam-6750	304	9	eur	eur	PROPN
ejpam-6750	304	10	.	.	PUNCT
ejpam-6750	305	1	j.	j.	PROPN
ejpam-6750	305	2	pure	pure	PROPN
ejpam-6750	305	3	appl	appl	PROPN
ejpam-6750	305	4	.	.	PROPN
ejpam-6750	305	5	math	math	PROPN
ejpam-6750	305	6	,	,	PUNCT
ejpam-6750	305	7	18	18	NUM
ejpam-6750	305	8	(	(	PUNCT
ejpam-6750	305	9	4	4	NUM
ejpam-6750	305	10	)	)	PUNCT
ejpam-6750	305	11	(	(	PUNCT
ejpam-6750	305	12	2025	2025	NUM
ejpam-6750	305	13	)	)	PUNCT
ejpam-6750	305	14	,	,	PUNCT
ejpam-6750	305	15	6750	6750	NUM
ejpam-6750	305	16	15	15	NUM
ejpam-6750	305	17	of	of	ADP
ejpam-6750	305	18	19	19	NUM
ejpam-6750	305	19	conditions	condition	NOUN
ejpam-6750	305	20	for	for	ADP
ejpam-6750	305	21	the	the	DET
ejpam-6750	305	22	compartments	compartment	NOUN
ejpam-6750	305	23	of	of	ADP
ejpam-6750	305	24	the	the	DET
ejpam-6750	305	25	seiqr	seiqr	ADJ
ejpam-6750	305	26	-	-	PUNCT
ejpam-6750	305	27	c	c	NOUN
ejpam-6750	305	28	model	model	NOUN
ejpam-6750	305	29	are	be	AUX
ejpam-6750	305	30	considered	consider	VERB
ejpam-6750	305	31	as	as	SCONJ
ejpam-6750	305	32	follows	follow	VERB
ejpam-6750	305	33	:	:	PUNCT
ejpam-6750	305	34	(	(	PUNCT
ejpam-6750	305	35	a	a	X
ejpam-6750	305	36	)	)	PUNCT
ejpam-6750	305	37	(	(	PUNCT
ejpam-6750	305	38	100	100	NUM
ejpam-6750	305	39	,	,	PUNCT
ejpam-6750	305	40	70	70	NUM
ejpam-6750	305	41	,	,	PUNCT
ejpam-6750	305	42	50	50	NUM
ejpam-6750	305	43	,	,	PUNCT
ejpam-6750	305	44	40	40	NUM
ejpam-6750	305	45	,	,	PUNCT
ejpam-6750	305	46	30	30	NUM
ejpam-6750	305	47	,	,	PUNCT
ejpam-6750	305	48	55	55	NUM
ejpam-6750	305	49	)	)	PUNCT
ejpam-6750	305	50	,	,	PUNCT
ejpam-6750	305	51	(	(	PUNCT
ejpam-6750	305	52	b	b	X
ejpam-6750	305	53	)	)	PUNCT
ejpam-6750	305	54	(	(	PUNCT
ejpam-6750	305	55	200	200	NUM
ejpam-6750	305	56	,	,	PUNCT
ejpam-6750	305	57	130	130	NUM
ejpam-6750	305	58	,	,	PUNCT
ejpam-6750	305	59	90	90	NUM
ejpam-6750	305	60	,	,	PUNCT
ejpam-6750	305	61	100	100	NUM
ejpam-6750	305	62	,	,	PUNCT
ejpam-6750	305	63	90	90	NUM
ejpam-6750	305	64	,	,	PUNCT
ejpam-6750	305	65	130	130	NUM
ejpam-6750	305	66	)	)	PUNCT
ejpam-6750	305	67	,	,	PUNCT
ejpam-6750	305	68	(	(	PUNCT
ejpam-6750	305	69	c	c	X
ejpam-6750	305	70	)	)	PUNCT
ejpam-6750	305	71	(	(	PUNCT
ejpam-6750	305	72	500	500	NUM
ejpam-6750	305	73	,	,	PUNCT
ejpam-6750	305	74	300	300	NUM
ejpam-6750	305	75	,	,	PUNCT
ejpam-6750	305	76	190	190	NUM
ejpam-6750	305	77	,	,	PUNCT
ejpam-6750	305	78	150	150	NUM
ejpam-6750	305	79	,	,	PUNCT
ejpam-6750	305	80	125	125	NUM
ejpam-6750	305	81	,	,	PUNCT
ejpam-6750	305	82	220	220	NUM
ejpam-6750	305	83	)	)	PUNCT
ejpam-6750	305	84	,	,	PUNCT
ejpam-6750	305	85	and	and	CCONJ
ejpam-6750	305	86	(	(	PUNCT
ejpam-6750	305	87	d	d	X
ejpam-6750	305	88	)	)	PUNCT
ejpam-6750	305	89	(	(	PUNCT
ejpam-6750	305	90	1000	1000	NUM
ejpam-6750	305	91	,	,	PUNCT
ejpam-6750	305	92	565	565	NUM
ejpam-6750	305	93	,	,	PUNCT
ejpam-6750	305	94	455	455	NUM
ejpam-6750	305	95	,	,	PUNCT
ejpam-6750	305	96	225	225	NUM
ejpam-6750	305	97	,	,	PUNCT
ejpam-6750	305	98	155	155	NUM
ejpam-6750	305	99	,	,	PUNCT
ejpam-6750	305	100	350	350	NUM
ejpam-6750	305	101	)	)	PUNCT
ejpam-6750	305	102	.	.	PUNCT
ejpam-6750	306	1	as	as	SCONJ
ejpam-6750	306	2	shown	show	VERB
ejpam-6750	306	3	in	in	ADP
ejpam-6750	306	4	figure	figure	NOUN
ejpam-6750	306	5	3	3	NUM
ejpam-6750	306	6	,	,	PUNCT
ejpam-6750	306	7	for	for	ADP
ejpam-6750	306	8	all	all	DET
ejpam-6750	306	9	initial	initial	ADJ
ejpam-6750	306	10	conditions	condition	NOUN
ejpam-6750	306	11	,	,	PUNCT
ejpam-6750	306	12	the	the	DET
ejpam-6750	306	13	solution	solution	NOUN
ejpam-6750	306	14	trajectories	trajectory	NOUN
ejpam-6750	306	15	converge	converge	VERB
ejpam-6750	306	16	to	to	ADP
ejpam-6750	306	17	the	the	DET
ejpam-6750	306	18	monkeypox	monkeypox	NOUN
ejpam-6750	306	19	-	-	PUNCT
ejpam-6750	306	20	free	free	ADJ
ejpam-6750	306	21	equilibrium	equilibrium	NOUN
ejpam-6750	306	22	e0	e0	PROPN
ejpam-6750	306	23	=	=	PUNCT
ejpam-6750	306	24	(	(	PUNCT
ejpam-6750	306	25	25	25	NUM
ejpam-6750	306	26	,	,	PUNCT
ejpam-6750	306	27	0	0	NUM
ejpam-6750	306	28	,	,	PUNCT
ejpam-6750	306	29	0	0	NUM
ejpam-6750	306	30	,	,	PUNCT
ejpam-6750	306	31	0	0	NUM
ejpam-6750	306	32	,	,	PUNCT
ejpam-6750	306	33	0	0	NUM
ejpam-6750	306	34	,	,	PUNCT
ejpam-6750	306	35	0	0	NUM
ejpam-6750	306	36	)	)	PUNCT
ejpam-6750	306	37	.	.	PUNCT
ejpam-6750	307	1	this	this	DET
ejpam-6750	307	2	result	result	NOUN
ejpam-6750	307	3	indicates	indicate	VERB
ejpam-6750	307	4	that	that	SCONJ
ejpam-6750	307	5	the	the	DET
ejpam-6750	307	6	seiqr	seiqr	ADJ
ejpam-6750	307	7	-	-	PUNCT
ejpam-6750	307	8	c	c	NOUN
ejpam-6750	307	9	model	model	NOUN
ejpam-6750	307	10	exhibits	exhibit	VERB
ejpam-6750	307	11	local	local	ADJ
ejpam-6750	307	12	asymptotic	asymptotic	ADJ
ejpam-6750	307	13	stability	stability	NOUN
ejpam-6750	307	14	at	at	ADP
ejpam-6750	307	15	the	the	DET
ejpam-6750	307	16	monkeypox	monkeypox	NOUN
ejpam-6750	307	17	-	-	PUNCT
ejpam-6750	307	18	free	free	ADJ
ejpam-6750	307	19	equilibrium	equilibrium	NOUN
ejpam-6750	307	20	when	when	SCONJ
ejpam-6750	307	21	r0	r0	NOUN
ejpam-6750	307	22	<	<	X
ejpam-6750	307	23	1	1	X
ejpam-6750	307	24	.	.	PUNCT
ejpam-6750	307	25	figure	figure	NOUN
ejpam-6750	307	26	3	3	NUM
ejpam-6750	307	27	:	:	PUNCT
ejpam-6750	307	28	(	(	PUNCT
ejpam-6750	307	29	simulation	simulation	NOUN
ejpam-6750	307	30	1	1	NUM
ejpam-6750	307	31	)	)	PUNCT
ejpam-6750	307	32	the	the	DET
ejpam-6750	307	33	seirq	seirq	PROPN
ejpam-6750	307	34	-	-	PUNCT
ejpam-6750	307	35	c	c	NOUN
ejpam-6750	307	36	model	model	NOUN
ejpam-6750	307	37	is	be	AUX
ejpam-6750	307	38	locally	locally	ADV
ejpam-6750	307	39	asymptotically	asymptotically	ADV
ejpam-6750	307	40	stable	stable	ADJ
ejpam-6750	307	41	at	at	ADP
ejpam-6750	307	42	e0	e0	PROPN
ejpam-6750	307	43	when	when	SCONJ
ejpam-6750	307	44	r0	r0	VERB
ejpam-6750	307	45	<	<	X
ejpam-6750	307	46	1	1	NUM
ejpam-6750	307	47	.	.	PUNCT
ejpam-6750	307	48	simulation	simulation	NOUN
ejpam-6750	307	49	2	2	NUM
ejpam-6750	307	50	.	.	PUNCT
ejpam-6750	307	51	consider	consider	VERB
ejpam-6750	307	52	the	the	DET
ejpam-6750	307	53	same	same	ADJ
ejpam-6750	307	54	parameter	parameter	NOUN
ejpam-6750	307	55	values	value	NOUN
ejpam-6750	307	56	used	use	VERB
ejpam-6750	307	57	in	in	ADP
ejpam-6750	307	58	simulation	simulation	NOUN
ejpam-6750	307	59	1	1	NUM
ejpam-6750	307	60	,	,	PUNCT
ejpam-6750	307	61	except	except	SCONJ
ejpam-6750	307	62	for	for	ADP
ejpam-6750	307	63	an	an	DET
ejpam-6750	307	64	increased	increase	VERB
ejpam-6750	307	65	recruitment	recruitment	NOUN
ejpam-6750	307	66	rate	rate	NOUN
ejpam-6750	307	67	of	of	ADP
ejpam-6750	307	68	λ	λ	PROPN
ejpam-6750	307	69	=	=	NOUN
ejpam-6750	307	70	10	10	NUM
ejpam-6750	307	71	,	,	PUNCT
ejpam-6750	307	72	and	and	CCONJ
ejpam-6750	307	73	decreased	decrease	VERB
ejpam-6750	307	74	values	value	NOUN
ejpam-6750	307	75	of	of	ADP
ejpam-6750	307	76	the	the	DET
ejpam-6750	307	77	quarantine	quarantine	NOUN
ejpam-6750	307	78	rate	rate	NOUN
ejpam-6750	307	79	θ	θ	PROPN
ejpam-6750	307	80	=	=	SYM
ejpam-6750	307	81	0.5	0.5	NUM
ejpam-6750	307	82	and	and	CCONJ
ejpam-6750	307	83	the	the	DET
ejpam-6750	307	84	cleaning	cleaning	NOUN
ejpam-6750	307	85	or	or	CCONJ
ejpam-6750	307	86	decay	decay	NOUN
ejpam-6750	307	87	rate	rate	NOUN
ejpam-6750	307	88	µp	µp	NOUN
ejpam-6750	307	89	=	=	NOUN
ejpam-6750	307	90	0.3	0.3	NUM
ejpam-6750	307	91	.	.	PUNCT
ejpam-6750	308	1	as	as	ADP
ejpam-6750	308	2	a	a	DET
ejpam-6750	308	3	result	result	NOUN
ejpam-6750	308	4	,	,	PUNCT
ejpam-6750	308	5	the	the	DET
ejpam-6750	308	6	basic	basic	ADJ
ejpam-6750	308	7	reproduction	reproduction	NOUN
ejpam-6750	308	8	j.	j.	PROPN
ejpam-6750	308	9	a.	a.	PROPN
ejpam-6750	308	10	puebla	puebla	PROPN
ejpam-6750	308	11	jr	jr	PROPN
ejpam-6750	308	12	.	.	PROPN
ejpam-6750	308	13	/	/	SYM
ejpam-6750	308	14	eur	eur	PROPN
ejpam-6750	308	15	.	.	PUNCT
ejpam-6750	309	1	j.	j.	PROPN
ejpam-6750	309	2	pure	pure	PROPN
ejpam-6750	309	3	appl	appl	PROPN
ejpam-6750	309	4	.	.	PROPN
ejpam-6750	309	5	math	math	PROPN
ejpam-6750	309	6	,	,	PUNCT
ejpam-6750	309	7	18	18	NUM
ejpam-6750	309	8	(	(	PUNCT
ejpam-6750	309	9	4	4	NUM
ejpam-6750	309	10	)	)	PUNCT
ejpam-6750	309	11	(	(	PUNCT
ejpam-6750	309	12	2025	2025	NUM
ejpam-6750	309	13	)	)	PUNCT
ejpam-6750	309	14	,	,	PUNCT
ejpam-6750	309	15	6750	6750	NUM
ejpam-6750	309	16	16	16	NUM
ejpam-6750	309	17	of	of	ADP
ejpam-6750	309	18	19	19	NUM
ejpam-6750	309	19	number	number	NOUN
ejpam-6750	309	20	increases	increase	NOUN
ejpam-6750	309	21	to	to	PART
ejpam-6750	309	22	r0	r0	VERB
ejpam-6750	309	23	=	=	PROPN
ejpam-6750	309	24	21.786	21.786	NUM
ejpam-6750	309	25	,	,	PUNCT
ejpam-6750	309	26	while	while	SCONJ
ejpam-6750	309	27	the	the	DET
ejpam-6750	309	28	disease	disease	NOUN
ejpam-6750	309	29	-	-	PUNCT
ejpam-6750	309	30	free	free	ADJ
ejpam-6750	309	31	equilibrium	equilibrium	NOUN
ejpam-6750	309	32	remains	remain	VERB
ejpam-6750	309	33	at	at	ADP
ejpam-6750	309	34	e0	e0	PROPN
ejpam-6750	309	35	=	=	PUNCT
ejpam-6750	309	36	(	(	PUNCT
ejpam-6750	309	37	25	25	NUM
ejpam-6750	309	38	,	,	PUNCT
ejpam-6750	309	39	0	0	NUM
ejpam-6750	309	40	,	,	PUNCT
ejpam-6750	309	41	0	0	NUM
ejpam-6750	309	42	,	,	PUNCT
ejpam-6750	309	43	0	0	NUM
ejpam-6750	309	44	,	,	PUNCT
ejpam-6750	309	45	0	0	NUM
ejpam-6750	309	46	,	,	PUNCT
ejpam-6750	309	47	0	0	NUM
ejpam-6750	309	48	)	)	PUNCT
ejpam-6750	309	49	.	.	PUNCT
ejpam-6750	310	1	using	use	VERB
ejpam-6750	310	2	the	the	DET
ejpam-6750	310	3	same	same	ADJ
ejpam-6750	310	4	initial	initial	ADJ
ejpam-6750	310	5	conditions	condition	NOUN
ejpam-6750	310	6	as	as	ADP
ejpam-6750	310	7	in	in	ADP
ejpam-6750	310	8	simulation	simulation	NOUN
ejpam-6750	310	9	1	1	NUM
ejpam-6750	310	10	,	,	PUNCT
ejpam-6750	310	11	it	it	PRON
ejpam-6750	310	12	is	be	AUX
ejpam-6750	310	13	observed	observe	VERB
ejpam-6750	310	14	from	from	ADP
ejpam-6750	310	15	figure	figure	NOUN
ejpam-6750	310	16	4	4	NUM
ejpam-6750	310	17	that	that	SCONJ
ejpam-6750	310	18	the	the	DET
ejpam-6750	310	19	solution	solution	NOUN
ejpam-6750	310	20	trajectories	trajectory	NOUN
ejpam-6750	310	21	do	do	AUX
ejpam-6750	310	22	not	not	PART
ejpam-6750	310	23	converge	converge	VERB
ejpam-6750	310	24	to	to	ADP
ejpam-6750	310	25	e0	e0	PROPN
ejpam-6750	310	26	,	,	PUNCT
ejpam-6750	310	27	indicating	indicate	VERB
ejpam-6750	310	28	that	that	SCONJ
ejpam-6750	310	29	the	the	DET
ejpam-6750	310	30	seiqrc	seiqrc	NOUN
ejpam-6750	310	31	model	model	NOUN
ejpam-6750	310	32	is	be	AUX
ejpam-6750	310	33	unstable	unstable	ADJ
ejpam-6750	310	34	at	at	ADP
ejpam-6750	310	35	the	the	DET
ejpam-6750	310	36	disease	disease	NOUN
ejpam-6750	310	37	-	-	PUNCT
ejpam-6750	310	38	free	free	ADJ
ejpam-6750	310	39	equilibrium	equilibrium	NOUN
ejpam-6750	310	40	when	when	SCONJ
ejpam-6750	310	41	r0	r0	NOUN
ejpam-6750	310	42	>	>	X
ejpam-6750	310	43	1	1	X
ejpam-6750	310	44	.	.	PUNCT
ejpam-6750	311	1	furthermore	furthermore	ADV
ejpam-6750	311	2	,	,	PUNCT
ejpam-6750	311	3	since	since	SCONJ
ejpam-6750	311	4	r0	r0	NOUN
ejpam-6750	311	5	=	=	PROPN
ejpam-6750	311	6	21.786	21.786	NUM
ejpam-6750	311	7	and	and	CCONJ
ejpam-6750	311	8	the	the	DET
ejpam-6750	311	9	endemic	endemic	ADJ
ejpam-6750	311	10	equilibrium	equilibrium	NOUN
ejpam-6750	311	11	point	point	NOUN
ejpam-6750	311	12	e∗	e∗	PROPN
ejpam-6750	311	13	=	=	SYM
ejpam-6750	311	14	(	(	PUNCT
ejpam-6750	311	15	15	15	NUM
ejpam-6750	311	16	,	,	PUNCT
ejpam-6750	311	17	18	18	NUM
ejpam-6750	311	18	,	,	PUNCT
ejpam-6750	311	19	4	4	NUM
ejpam-6750	311	20	,	,	PUNCT
ejpam-6750	311	21	6	6	NUM
ejpam-6750	311	22	,	,	PUNCT
ejpam-6750	311	23	9	9	NUM
ejpam-6750	311	24	,	,	PUNCT
ejpam-6750	311	25	1	1	NUM
ejpam-6750	311	26	)	)	PUNCT
ejpam-6750	311	27	now	now	ADV
ejpam-6750	311	28	exists	exist	VERB
ejpam-6750	311	29	,	,	PUNCT
ejpam-6750	311	30	the	the	DET
ejpam-6750	311	31	solution	solution	NOUN
ejpam-6750	311	32	trajectories	trajectory	NOUN
ejpam-6750	311	33	are	be	AUX
ejpam-6750	311	34	seen	see	VERB
ejpam-6750	311	35	to	to	PART
ejpam-6750	311	36	converge	converge	VERB
ejpam-6750	311	37	to	to	ADP
ejpam-6750	311	38	e∗.	e∗.	NOUN
ejpam-6750	311	39	therefore	therefore	ADV
ejpam-6750	311	40	,	,	PUNCT
ejpam-6750	311	41	the	the	DET
ejpam-6750	311	42	seiqr	seiqr	ADJ
ejpam-6750	311	43	-	-	PUNCT
ejpam-6750	311	44	c	c	NOUN
ejpam-6750	311	45	model	model	NOUN
ejpam-6750	311	46	is	be	AUX
ejpam-6750	311	47	locally	locally	ADV
ejpam-6750	311	48	asymptotically	asymptotically	ADV
ejpam-6750	311	49	stable	stable	ADJ
ejpam-6750	311	50	at	at	ADP
ejpam-6750	311	51	the	the	DET
ejpam-6750	311	52	endemic	endemic	ADJ
ejpam-6750	311	53	equilibrium	equilibrium	NOUN
ejpam-6750	311	54	whenever	whenever	SCONJ
ejpam-6750	311	55	r0	r0	NOUN
ejpam-6750	311	56	>	>	X
ejpam-6750	311	57	1	1	X
ejpam-6750	311	58	.	.	X
ejpam-6750	311	59	figure	figure	VERB
ejpam-6750	311	60	4	4	NUM
ejpam-6750	311	61	:	:	PUNCT
ejpam-6750	311	62	(	(	PUNCT
ejpam-6750	311	63	simulation	simulation	NOUN
ejpam-6750	311	64	2	2	NUM
ejpam-6750	311	65	)	)	PUNCT
ejpam-6750	311	66	the	the	DET
ejpam-6750	311	67	seirq	seirq	PROPN
ejpam-6750	311	68	-	-	PUNCT
ejpam-6750	311	69	c	c	NOUN
ejpam-6750	311	70	model	model	NOUN
ejpam-6750	311	71	is	be	AUX
ejpam-6750	311	72	locally	locally	ADV
ejpam-6750	311	73	asymptotically	asymptotically	ADV
ejpam-6750	311	74	stable	stable	ADJ
ejpam-6750	311	75	at	at	ADP
ejpam-6750	311	76	e∗	e∗	PROPN
ejpam-6750	311	77	when	when	SCONJ
ejpam-6750	311	78	r0	r0	NOUN
ejpam-6750	311	79	>	>	X
ejpam-6750	311	80	1	1	X
ejpam-6750	311	81	.	.	PUNCT
ejpam-6750	311	82	figures	figure	NOUN
ejpam-6750	311	83	3	3	NUM
ejpam-6750	311	84	and	and	CCONJ
ejpam-6750	311	85	4	4	NUM
ejpam-6750	311	86	further	far	ADV
ejpam-6750	311	87	demonstrate	demonstrate	VERB
ejpam-6750	311	88	the	the	DET
ejpam-6750	311	89	contrasting	contrast	VERB
ejpam-6750	311	90	epidemic	epidemic	NOUN
ejpam-6750	311	91	dynamics	dynamic	NOUN
ejpam-6750	311	92	of	of	ADP
ejpam-6750	311	93	the	the	DET
ejpam-6750	311	94	seiqrc	seiqrc	NOUN
ejpam-6750	311	95	model	model	NOUN
ejpam-6750	311	96	under	under	ADP
ejpam-6750	311	97	varying	vary	VERB
ejpam-6750	311	98	control	control	NOUN
ejpam-6750	311	99	parameters	parameter	NOUN
ejpam-6750	311	100	while	while	SCONJ
ejpam-6750	311	101	maintaining	maintain	VERB
ejpam-6750	311	102	identical	identical	ADJ
ejpam-6750	311	103	initial	initial	ADJ
ejpam-6750	311	104	values	value	NOUN
ejpam-6750	311	105	for	for	ADP
ejpam-6750	311	106	j.	j.	PROPN
ejpam-6750	311	107	a.	a.	PROPN
ejpam-6750	311	108	puebla	puebla	PROPN
ejpam-6750	311	109	jr	jr	PROPN
ejpam-6750	311	110	.	.	PROPN
ejpam-6750	311	111	/	/	SYM
ejpam-6750	311	112	eur	eur	PROPN
ejpam-6750	311	113	.	.	PUNCT
ejpam-6750	312	1	j.	j.	PROPN
ejpam-6750	312	2	pure	pure	PROPN
ejpam-6750	312	3	appl	appl	PROPN
ejpam-6750	312	4	.	.	PROPN
ejpam-6750	312	5	math	math	PROPN
ejpam-6750	312	6	,	,	PUNCT
ejpam-6750	312	7	18	18	NUM
ejpam-6750	312	8	(	(	PUNCT
ejpam-6750	312	9	4	4	NUM
ejpam-6750	312	10	)	)	PUNCT
ejpam-6750	312	11	(	(	PUNCT
ejpam-6750	312	12	2025	2025	NUM
ejpam-6750	312	13	)	)	PUNCT
ejpam-6750	312	14	,	,	PUNCT
ejpam-6750	312	15	6750	6750	NUM
ejpam-6750	312	16	17	17	NUM
ejpam-6750	312	17	of	of	ADP
ejpam-6750	312	18	19	19	NUM
ejpam-6750	312	19	all	all	DET
ejpam-6750	312	20	compartments	compartment	NOUN
ejpam-6750	312	21	.	.	PUNCT
ejpam-6750	313	1	in	in	ADP
ejpam-6750	313	2	figure	figure	NOUN
ejpam-6750	313	3	3	3	NUM
ejpam-6750	313	4	(	(	PUNCT
ejpam-6750	313	5	r0	r0	VERB
ejpam-6750	313	6	<	<	NOUN
ejpam-6750	313	7	1	1	NUM
ejpam-6750	313	8	)	)	PUNCT
ejpam-6750	313	9	,	,	PUNCT
ejpam-6750	313	10	higher	high	ADJ
ejpam-6750	313	11	quarantine	quarantine	NOUN
ejpam-6750	313	12	(	(	PUNCT
ejpam-6750	313	13	θ	θ	NOUN
ejpam-6750	313	14	)	)	PUNCT
ejpam-6750	313	15	and	and	CCONJ
ejpam-6750	313	16	cleaning	cleaning	NOUN
ejpam-6750	313	17	or	or	CCONJ
ejpam-6750	313	18	viral	viral	ADJ
ejpam-6750	313	19	decay	decay	NOUN
ejpam-6750	313	20	rate	rate	NOUN
ejpam-6750	313	21	(	(	PUNCT
ejpam-6750	313	22	µp	µp	NOUN
ejpam-6750	313	23	)	)	PUNCT
ejpam-6750	313	24	lead	lead	NOUN
ejpam-6750	313	25	to	to	ADP
ejpam-6750	313	26	a	a	DET
ejpam-6750	313	27	progressive	progressive	ADJ
ejpam-6750	313	28	reduction	reduction	NOUN
ejpam-6750	313	29	in	in	ADP
ejpam-6750	313	30	the	the	DET
ejpam-6750	313	31	number	number	NOUN
ejpam-6750	313	32	of	of	ADP
ejpam-6750	313	33	infectious	infectious	ADJ
ejpam-6750	313	34	individuals	individual	NOUN
ejpam-6750	313	35	and	and	CCONJ
ejpam-6750	313	36	environmental	environmental	ADJ
ejpam-6750	313	37	contamination	contamination	NOUN
ejpam-6750	313	38	,	,	PUNCT
ejpam-6750	313	39	confirming	confirm	VERB
ejpam-6750	313	40	the	the	DET
ejpam-6750	313	41	stability	stability	NOUN
ejpam-6750	313	42	of	of	ADP
ejpam-6750	313	43	the	the	DET
ejpam-6750	313	44	disease	disease	NOUN
ejpam-6750	313	45	-	-	PUNCT
ejpam-6750	313	46	free	free	ADJ
ejpam-6750	313	47	equilibrium	equilibrium	NOUN
ejpam-6750	313	48	.	.	PUNCT
ejpam-6750	314	1	conversely	conversely	ADV
ejpam-6750	314	2	,	,	PUNCT
ejpam-6750	314	3	in	in	ADP
ejpam-6750	314	4	figure	figure	NOUN
ejpam-6750	314	5	4	4	NUM
ejpam-6750	314	6	(	(	PUNCT
ejpam-6750	314	7	r0	r0	VERB
ejpam-6750	314	8	>	>	X
ejpam-6750	314	9	1	1	NUM
ejpam-6750	314	10	)	)	PUNCT
ejpam-6750	314	11	,	,	PUNCT
ejpam-6750	314	12	the	the	DET
ejpam-6750	314	13	same	same	ADJ
ejpam-6750	314	14	initial	initial	ADJ
ejpam-6750	314	15	conditions	condition	NOUN
ejpam-6750	314	16	are	be	AUX
ejpam-6750	314	17	applied	apply	VERB
ejpam-6750	314	18	but	but	CCONJ
ejpam-6750	314	19	with	with	ADP
ejpam-6750	314	20	lower	low	ADJ
ejpam-6750	314	21	values	value	NOUN
ejpam-6750	314	22	of	of	ADP
ejpam-6750	314	23	θ	θ	PROPN
ejpam-6750	314	24	and	and	CCONJ
ejpam-6750	314	25	µp	µp	NOUN
ejpam-6750	314	26	,	,	PUNCT
ejpam-6750	314	27	resulting	result	VERB
ejpam-6750	314	28	in	in	ADP
ejpam-6750	314	29	persistent	persistent	ADJ
ejpam-6750	314	30	infection	infection	NOUN
ejpam-6750	314	31	and	and	CCONJ
ejpam-6750	314	32	convergence	convergence	NOUN
ejpam-6750	314	33	toward	toward	ADP
ejpam-6750	314	34	an	an	DET
ejpam-6750	314	35	endemic	endemic	ADJ
ejpam-6750	314	36	equilibrium	equilibrium	NOUN
ejpam-6750	314	37	.	.	PUNCT
ejpam-6750	315	1	these	these	DET
ejpam-6750	315	2	findings	finding	NOUN
ejpam-6750	315	3	highlight	highlight	VERB
ejpam-6750	315	4	that	that	SCONJ
ejpam-6750	315	5	the	the	DET
ejpam-6750	315	6	effectiveness	effectiveness	NOUN
ejpam-6750	315	7	of	of	ADP
ejpam-6750	315	8	quarantine	quarantine	NOUN
ejpam-6750	315	9	measures	measure	NOUN
ejpam-6750	315	10	and	and	CCONJ
ejpam-6750	315	11	environmental	environmental	ADJ
ejpam-6750	315	12	sanitation	sanitation	NOUN
ejpam-6750	315	13	plays	play	VERB
ejpam-6750	315	14	a	a	DET
ejpam-6750	315	15	critical	critical	ADJ
ejpam-6750	315	16	role	role	NOUN
ejpam-6750	315	17	in	in	ADP
ejpam-6750	315	18	reducing	reduce	VERB
ejpam-6750	315	19	the	the	DET
ejpam-6750	315	20	basic	basic	ADJ
ejpam-6750	315	21	reproduction	reproduction	NOUN
ejpam-6750	315	22	number	number	NOUN
ejpam-6750	315	23	and	and	CCONJ
ejpam-6750	315	24	ensuring	ensure	VERB
ejpam-6750	315	25	the	the	DET
ejpam-6750	315	26	long	long	ADJ
ejpam-6750	315	27	-	-	PUNCT
ejpam-6750	315	28	term	term	NOUN
ejpam-6750	315	29	stability	stability	NOUN
ejpam-6750	315	30	of	of	ADP
ejpam-6750	315	31	the	the	DET
ejpam-6750	315	32	human	human	ADJ
ejpam-6750	315	33	population	population	NOUN
ejpam-6750	315	34	against	against	ADP
ejpam-6750	315	35	monkeypox	monkeypox	PROPN
ejpam-6750	315	36	transmission	transmission	NOUN
ejpam-6750	315	37	.	.	PUNCT
ejpam-6750	316	1	although	although	SCONJ
ejpam-6750	316	2	no	no	DET
ejpam-6750	316	3	previous	previous	ADJ
ejpam-6750	316	4	model	model	NOUN
ejpam-6750	316	5	has	have	AUX
ejpam-6750	316	6	simultaneously	simultaneously	ADV
ejpam-6750	316	7	incorporated	incorporate	VERB
ejpam-6750	316	8	quarantine	quarantine	NOUN
ejpam-6750	316	9	and	and	CCONJ
ejpam-6750	316	10	contaminated	contaminate	VERB
ejpam-6750	316	11	surfaces	surface	NOUN
ejpam-6750	316	12	,	,	PUNCT
ejpam-6750	316	13	the	the	DET
ejpam-6750	316	14	present	present	ADJ
ejpam-6750	316	15	results	result	NOUN
ejpam-6750	316	16	are	be	AUX
ejpam-6750	316	17	comparable	comparable	ADJ
ejpam-6750	316	18	to	to	ADP
ejpam-6750	316	19	those	those	PRON
ejpam-6750	316	20	in	in	ADP
ejpam-6750	316	21	[	[	X
ejpam-6750	316	22	15	15	NUM
ejpam-6750	316	23	]	]	PUNCT
ejpam-6750	316	24	and	and	CCONJ
ejpam-6750	316	25	[	[	X
ejpam-6750	316	26	16	16	NUM
ejpam-6750	316	27	]	]	X
ejpam-6750	316	28	,	,	PUNCT
ejpam-6750	316	29	which	which	PRON
ejpam-6750	316	30	also	also	ADV
ejpam-6750	316	31	emphasized	emphasize	VERB
ejpam-6750	316	32	the	the	DET
ejpam-6750	316	33	importance	importance	NOUN
ejpam-6750	316	34	of	of	ADP
ejpam-6750	316	35	quarantine	quarantine	NOUN
ejpam-6750	316	36	and	and	CCONJ
ejpam-6750	316	37	environmental	environmental	ADJ
ejpam-6750	316	38	sanitation	sanitation	NOUN
ejpam-6750	316	39	in	in	ADP
ejpam-6750	316	40	controlling	control	VERB
ejpam-6750	316	41	the	the	DET
ejpam-6750	316	42	spread	spread	NOUN
ejpam-6750	316	43	of	of	ADP
ejpam-6750	316	44	monkeypox	monkeypox	NOUN
ejpam-6750	316	45	.	.	PUNCT
ejpam-6750	317	1	5	5	X
ejpam-6750	317	2	.	.	X
ejpam-6750	317	3	conclusion	conclusion	NOUN
ejpam-6750	317	4	this	this	DET
ejpam-6750	317	5	study	study	NOUN
ejpam-6750	317	6	formulated	formulate	VERB
ejpam-6750	317	7	and	and	CCONJ
ejpam-6750	317	8	analyzed	analyze	VERB
ejpam-6750	317	9	a	a	DET
ejpam-6750	317	10	deterministic	deterministic	ADJ
ejpam-6750	317	11	seiqr	seiqr	ADJ
ejpam-6750	317	12	-	-	PUNCT
ejpam-6750	317	13	c	c	NOUN
ejpam-6750	317	14	model	model	NOUN
ejpam-6750	317	15	to	to	PART
ejpam-6750	317	16	describe	describe	VERB
ejpam-6750	317	17	the	the	DET
ejpam-6750	317	18	transmission	transmission	NOUN
ejpam-6750	317	19	dynamics	dynamic	NOUN
ejpam-6750	317	20	of	of	ADP
ejpam-6750	317	21	monkeypox	monkeypox	NOUN
ejpam-6750	317	22	by	by	ADP
ejpam-6750	317	23	incorporating	incorporate	VERB
ejpam-6750	317	24	both	both	DET
ejpam-6750	317	25	quarantine	quarantine	NOUN
ejpam-6750	317	26	protocols	protocol	NOUN
ejpam-6750	317	27	and	and	CCONJ
ejpam-6750	317	28	environmental	environmental	ADJ
ejpam-6750	317	29	contamination	contamination	NOUN
ejpam-6750	317	30	.	.	PUNCT
ejpam-6750	318	1	the	the	DET
ejpam-6750	318	2	model	model	NOUN
ejpam-6750	318	3	ensured	ensure	VERB
ejpam-6750	318	4	non	non	ADJ
ejpam-6750	318	5	-	-	ADJ
ejpam-6750	318	6	negative	negative	ADJ
ejpam-6750	318	7	and	and	CCONJ
ejpam-6750	318	8	bounded	bounded	ADJ
ejpam-6750	318	9	solutions	solution	NOUN
ejpam-6750	318	10	,	,	PUNCT
ejpam-6750	318	11	and	and	CCONJ
ejpam-6750	318	12	equilibrium	equilibrium	NOUN
ejpam-6750	318	13	analyses	analysis	NOUN
ejpam-6750	318	14	identified	identify	VERB
ejpam-6750	318	15	both	both	DET
ejpam-6750	318	16	disease	disease	NOUN
ejpam-6750	318	17	-	-	PUNCT
ejpam-6750	318	18	free	free	ADJ
ejpam-6750	318	19	and	and	CCONJ
ejpam-6750	318	20	endemic	endemic	ADJ
ejpam-6750	318	21	states	state	NOUN
ejpam-6750	318	22	.	.	PUNCT
ejpam-6750	319	1	stability	stability	NOUN
ejpam-6750	319	2	analyses	analysis	NOUN
ejpam-6750	319	3	demonstrated	demonstrate	VERB
ejpam-6750	319	4	that	that	SCONJ
ejpam-6750	319	5	the	the	DET
ejpam-6750	319	6	disease	disease	NOUN
ejpam-6750	319	7	-	-	PUNCT
ejpam-6750	319	8	free	free	ADJ
ejpam-6750	319	9	equilibrium	equilibrium	NOUN
ejpam-6750	319	10	is	be	AUX
ejpam-6750	319	11	locally	locally	ADV
ejpam-6750	319	12	and	and	CCONJ
ejpam-6750	319	13	globally	globally	ADV
ejpam-6750	319	14	asymptotically	asymptotically	ADV
ejpam-6750	319	15	stable	stable	ADJ
ejpam-6750	319	16	when	when	SCONJ
ejpam-6750	319	17	r0	r0	NOUN
ejpam-6750	319	18	<	<	X
ejpam-6750	319	19	1	1	NUM
ejpam-6750	319	20	,	,	PUNCT
ejpam-6750	319	21	while	while	SCONJ
ejpam-6750	319	22	the	the	DET
ejpam-6750	319	23	endemic	endemic	ADJ
ejpam-6750	319	24	equilibrium	equilibrium	NOUN
ejpam-6750	319	25	becomes	become	VERB
ejpam-6750	319	26	locally	locally	ADV
ejpam-6750	319	27	stable	stable	ADJ
ejpam-6750	319	28	when	when	SCONJ
ejpam-6750	319	29	r0	r0	NOUN
ejpam-6750	319	30	>	>	X
ejpam-6750	319	31	1	1	X
ejpam-6750	319	32	.	.	PUNCT
ejpam-6750	320	1	numerical	numerical	ADJ
ejpam-6750	320	2	simulations	simulation	NOUN
ejpam-6750	320	3	further	far	ADV
ejpam-6750	320	4	validated	validate	VERB
ejpam-6750	320	5	these	these	DET
ejpam-6750	320	6	theoretical	theoretical	ADJ
ejpam-6750	320	7	findings	finding	NOUN
ejpam-6750	320	8	,	,	PUNCT
ejpam-6750	320	9	showing	show	VERB
ejpam-6750	320	10	that	that	SCONJ
ejpam-6750	320	11	the	the	DET
ejpam-6750	320	12	infection	infection	NOUN
ejpam-6750	320	13	dies	die	VERB
ejpam-6750	320	14	out	out	ADP
ejpam-6750	320	15	when	when	SCONJ
ejpam-6750	320	16	quarantine	quarantine	NOUN
ejpam-6750	320	17	and	and	CCONJ
ejpam-6750	320	18	cleaning	cleaning	NOUN
ejpam-6750	320	19	measures	measure	NOUN
ejpam-6750	320	20	are	be	AUX
ejpam-6750	320	21	adequately	adequately	ADV
ejpam-6750	320	22	implemented	implement	VERB
ejpam-6750	320	23	.	.	PUNCT
ejpam-6750	321	1	the	the	DET
ejpam-6750	321	2	results	result	NOUN
ejpam-6750	321	3	emphasize	emphasize	VERB
ejpam-6750	321	4	that	that	SCONJ
ejpam-6750	321	5	increasing	increase	VERB
ejpam-6750	321	6	the	the	DET
ejpam-6750	321	7	efficiency	efficiency	NOUN
ejpam-6750	321	8	of	of	ADP
ejpam-6750	321	9	quarantine	quarantine	NOUN
ejpam-6750	321	10	and	and	CCONJ
ejpam-6750	321	11	the	the	DET
ejpam-6750	321	12	rate	rate	NOUN
ejpam-6750	321	13	of	of	ADP
ejpam-6750	321	14	surface	surface	NOUN
ejpam-6750	321	15	cleaning	cleaning	NOUN
ejpam-6750	321	16	or	or	CCONJ
ejpam-6750	321	17	viral	viral	ADJ
ejpam-6750	321	18	decay	decay	NOUN
ejpam-6750	321	19	are	be	AUX
ejpam-6750	321	20	among	among	ADP
ejpam-6750	321	21	the	the	DET
ejpam-6750	321	22	most	most	ADV
ejpam-6750	321	23	effective	effective	ADJ
ejpam-6750	321	24	strategies	strategy	NOUN
ejpam-6750	321	25	for	for	ADP
ejpam-6750	321	26	controlling	control	VERB
ejpam-6750	321	27	monkeypox	monkeypox	NOUN
ejpam-6750	321	28	transmission	transmission	NOUN
ejpam-6750	321	29	,	,	PUNCT
ejpam-6750	321	30	particularly	particularly	ADV
ejpam-6750	321	31	in	in	ADP
ejpam-6750	321	32	low	low	ADJ
ejpam-6750	321	33	-	-	PUNCT
ejpam-6750	321	34	resource	resource	NOUN
ejpam-6750	321	35	settings	setting	NOUN
ejpam-6750	321	36	where	where	SCONJ
ejpam-6750	321	37	vaccine	vaccine	NOUN
ejpam-6750	321	38	coverage	coverage	NOUN
ejpam-6750	321	39	remains	remain	VERB
ejpam-6750	321	40	limited	limited	ADJ
ejpam-6750	321	41	.	.	PUNCT
ejpam-6750	322	1	while	while	SCONJ
ejpam-6750	322	2	the	the	DET
ejpam-6750	322	3	seiqr	seiqr	ADJ
ejpam-6750	322	4	-	-	PUNCT
ejpam-6750	322	5	c	c	NOUN
ejpam-6750	322	6	model	model	NOUN
ejpam-6750	322	7	provides	provide	VERB
ejpam-6750	322	8	valuable	valuable	ADJ
ejpam-6750	322	9	insights	insight	NOUN
ejpam-6750	322	10	into	into	ADP
ejpam-6750	322	11	the	the	DET
ejpam-6750	322	12	combined	combine	VERB
ejpam-6750	322	13	effects	effect	NOUN
ejpam-6750	322	14	of	of	ADP
ejpam-6750	322	15	quarantine	quarantine	NOUN
ejpam-6750	322	16	and	and	CCONJ
ejpam-6750	322	17	surface	surface	NOUN
ejpam-6750	322	18	contamination	contamination	NOUN
ejpam-6750	322	19	,	,	PUNCT
ejpam-6750	322	20	it	it	PRON
ejpam-6750	322	21	is	be	AUX
ejpam-6750	322	22	based	base	VERB
ejpam-6750	322	23	on	on	ADP
ejpam-6750	322	24	several	several	ADJ
ejpam-6750	322	25	simplifying	simplifying	NOUN
ejpam-6750	322	26	assumptions	assumption	NOUN
ejpam-6750	322	27	.	.	PUNCT
ejpam-6750	323	1	the	the	DET
ejpam-6750	323	2	current	current	ADJ
ejpam-6750	323	3	model	model	NOUN
ejpam-6750	323	4	does	do	AUX
ejpam-6750	323	5	not	not	PART
ejpam-6750	323	6	include	include	VERB
ejpam-6750	323	7	vaccination	vaccination	NOUN
ejpam-6750	323	8	dynamics	dynamic	NOUN
ejpam-6750	323	9	,	,	PUNCT
ejpam-6750	323	10	disease	disease	NOUN
ejpam-6750	323	11	-	-	PUNCT
ejpam-6750	323	12	induced	induce	VERB
ejpam-6750	323	13	mortality	mortality	NOUN
ejpam-6750	323	14	,	,	PUNCT
ejpam-6750	323	15	or	or	CCONJ
ejpam-6750	323	16	parameter	parameter	NOUN
ejpam-6750	323	17	estimation	estimation	NOUN
ejpam-6750	323	18	using	use	VERB
ejpam-6750	323	19	real	real	ADJ
ejpam-6750	323	20	outbreak	outbreak	NOUN
ejpam-6750	323	21	data	datum	NOUN
ejpam-6750	323	22	.	.	PUNCT
ejpam-6750	324	1	furthermore	furthermore	ADV
ejpam-6750	324	2	,	,	PUNCT
ejpam-6750	324	3	the	the	DET
ejpam-6750	324	4	global	global	ADJ
ejpam-6750	324	5	stability	stability	NOUN
ejpam-6750	324	6	of	of	ADP
ejpam-6750	324	7	the	the	DET
ejpam-6750	324	8	endemic	endemic	ADJ
ejpam-6750	324	9	equilibrium	equilibrium	NOUN
ejpam-6750	324	10	was	be	AUX
ejpam-6750	324	11	not	not	PART
ejpam-6750	324	12	established	establish	VERB
ejpam-6750	324	13	.	.	PUNCT
ejpam-6750	325	1	future	future	ADJ
ejpam-6750	325	2	studies	study	NOUN
ejpam-6750	325	3	may	may	AUX
ejpam-6750	325	4	focus	focus	VERB
ejpam-6750	325	5	on	on	ADP
ejpam-6750	325	6	constructing	construct	VERB
ejpam-6750	325	7	a	a	DET
ejpam-6750	325	8	lyapunov	lyapunov	ADJ
ejpam-6750	325	9	function	function	NOUN
ejpam-6750	325	10	to	to	PART
ejpam-6750	325	11	determine	determine	VERB
ejpam-6750	325	12	the	the	DET
ejpam-6750	325	13	global	global	ADJ
ejpam-6750	325	14	stability	stability	NOUN
ejpam-6750	325	15	of	of	ADP
ejpam-6750	325	16	the	the	DET
ejpam-6750	325	17	endemic	endemic	ADJ
ejpam-6750	325	18	equilibrium	equilibrium	NOUN
ejpam-6750	325	19	,	,	PUNCT
ejpam-6750	325	20	extending	extend	VERB
ejpam-6750	325	21	the	the	DET
ejpam-6750	325	22	model	model	NOUN
ejpam-6750	325	23	to	to	PART
ejpam-6750	325	24	incorporate	incorporate	VERB
ejpam-6750	325	25	disease	disease	NOUN
ejpam-6750	325	26	-	-	PUNCT
ejpam-6750	325	27	induced	induce	VERB
ejpam-6750	325	28	mortality	mortality	NOUN
ejpam-6750	325	29	and	and	CCONJ
ejpam-6750	325	30	vaccination	vaccination	NOUN
ejpam-6750	325	31	,	,	PUNCT
ejpam-6750	325	32	and	and	CCONJ
ejpam-6750	325	33	validating	validate	VERB
ejpam-6750	325	34	the	the	DET
ejpam-6750	325	35	model	model	NOUN
ejpam-6750	325	36	through	through	ADP
ejpam-6750	325	37	real	real	ADJ
ejpam-6750	325	38	-	-	PUNCT
ejpam-6750	325	39	data	datum	NOUN
ejpam-6750	325	40	fitting	fitting	ADJ
ejpam-6750	325	41	and	and	CCONJ
ejpam-6750	325	42	parameter	parameter	NOUN
ejpam-6750	325	43	estimation	estimation	NOUN
ejpam-6750	325	44	.	.	PUNCT
ejpam-6750	326	1	these	these	DET
ejpam-6750	326	2	directions	direction	NOUN
ejpam-6750	326	3	will	will	AUX
ejpam-6750	326	4	enhance	enhance	VERB
ejpam-6750	326	5	the	the	DET
ejpam-6750	326	6	model	model	NOUN
ejpam-6750	326	7	’s	’s	PART
ejpam-6750	326	8	applicability	applicability	NOUN
ejpam-6750	326	9	and	and	CCONJ
ejpam-6750	326	10	improve	improve	VERB
ejpam-6750	326	11	its	its	PRON
ejpam-6750	326	12	predictive	predictive	ADJ
ejpam-6750	326	13	capability	capability	NOUN
ejpam-6750	326	14	for	for	ADP
ejpam-6750	326	15	guiding	guide	VERB
ejpam-6750	326	16	public	public	ADJ
ejpam-6750	326	17	health	health	NOUN
ejpam-6750	326	18	policies	policy	NOUN
ejpam-6750	326	19	against	against	ADP
ejpam-6750	326	20	monkeypox	monkeypox	NOUN
ejpam-6750	326	21	transmission	transmission	NOUN
ejpam-6750	326	22	.	.	PUNCT
ejpam-6750	327	1	conflict	conflict	NOUN
ejpam-6750	327	2	of	of	ADP
ejpam-6750	327	3	interest	interest	NOUN
ejpam-6750	327	4	the	the	DET
ejpam-6750	327	5	author	author	NOUN
ejpam-6750	327	6	affirms	affirm	VERB
ejpam-6750	327	7	that	that	SCONJ
ejpam-6750	327	8	no	no	DET
ejpam-6750	327	9	conflict	conflict	NOUN
ejpam-6750	327	10	of	of	ADP
ejpam-6750	327	11	interest	interest	NOUN
ejpam-6750	327	12	exists	exist	VERB
ejpam-6750	327	13	with	with	ADP
ejpam-6750	327	14	respect	respect	NOUN
ejpam-6750	327	15	to	to	ADP
ejpam-6750	327	16	the	the	DET
ejpam-6750	327	17	research	research	NOUN
ejpam-6750	327	18	,	,	PUNCT
ejpam-6750	327	19	authorship	authorship	NOUN
ejpam-6750	327	20	,	,	PUNCT
ejpam-6750	327	21	and/or	and/or	CCONJ
ejpam-6750	327	22	publication	publication	NOUN
ejpam-6750	327	23	of	of	ADP
ejpam-6750	327	24	this	this	DET
ejpam-6750	327	25	article	article	NOUN
ejpam-6750	327	26	.	.	PUNCT
ejpam-6750	328	1	j.	j.	PROPN
ejpam-6750	328	2	a.	a.	PROPN
ejpam-6750	328	3	puebla	puebla	PROPN
ejpam-6750	328	4	jr	jr	PROPN
ejpam-6750	328	5	.	.	PROPN
ejpam-6750	328	6	/	/	SYM
ejpam-6750	328	7	eur	eur	PROPN
ejpam-6750	328	8	.	.	PUNCT
ejpam-6750	329	1	j.	j.	PROPN
ejpam-6750	329	2	pure	pure	PROPN
ejpam-6750	329	3	appl	appl	PROPN
ejpam-6750	329	4	.	.	PROPN
ejpam-6750	329	5	math	math	PROPN
ejpam-6750	329	6	,	,	PUNCT
ejpam-6750	329	7	18	18	NUM
ejpam-6750	329	8	(	(	PUNCT
ejpam-6750	329	9	4	4	NUM
ejpam-6750	329	10	)	)	PUNCT
ejpam-6750	329	11	(	(	PUNCT
ejpam-6750	329	12	2025	2025	NUM
ejpam-6750	329	13	)	)	PUNCT
ejpam-6750	329	14	,	,	PUNCT
ejpam-6750	329	15	6750	6750	NUM
ejpam-6750	329	16	18	18	NUM
ejpam-6750	329	17	of	of	ADP
ejpam-6750	329	18	19	19	NUM
ejpam-6750	329	19	acknowledgments	acknowledgment	NOUN
ejpam-6750	329	20	the	the	DET
ejpam-6750	329	21	author	author	NOUN
ejpam-6750	329	22	would	would	AUX
ejpam-6750	329	23	like	like	VERB
ejpam-6750	329	24	to	to	PART
ejpam-6750	329	25	thank	thank	VERB
ejpam-6750	329	26	all	all	DET
ejpam-6750	329	27	individuals	individual	NOUN
ejpam-6750	329	28	and	and	CCONJ
ejpam-6750	329	29	institutions	institution	NOUN
ejpam-6750	329	30	who	who	PRON
ejpam-6750	329	31	supported	support	VERB
ejpam-6750	329	32	the	the	DET
ejpam-6750	329	33	completion	completion	NOUN
ejpam-6750	329	34	of	of	ADP
ejpam-6750	329	35	this	this	DET
ejpam-6750	329	36	study	study	NOUN
ejpam-6750	329	37	.	.	PUNCT
ejpam-6750	330	1	references	reference	NOUN
ejpam-6750	330	2	[	[	X
ejpam-6750	330	3	1	1	NUM
ejpam-6750	330	4	]	]	PUNCT
ejpam-6750	330	5	world	world	NOUN
ejpam-6750	330	6	health	health	NOUN
ejpam-6750	330	7	organization	organization	PROPN
ejpam-6750	330	8	.	.	PUNCT
ejpam-6750	331	1	monkeypox	monkeypox	PROPN
ejpam-6750	331	2	,	,	PUNCT
ejpam-6750	331	3	04	04	NUM
ejpam-6750	331	4	2023	2023	NUM
ejpam-6750	331	5	.	.	PUNCT
ejpam-6750	332	1	[	[	X
ejpam-6750	332	2	2	2	NUM
ejpam-6750	332	3	]	]	X
ejpam-6750	332	4	eveline	eveline	PROPN
ejpam-6750	332	5	bunge	bunge	PROPN
ejpam-6750	332	6	,	,	PUNCT
ejpam-6750	332	7	bernard	bernard	PROPN
ejpam-6750	332	8	hoet	hoet	PROPN
ejpam-6750	332	9	,	,	PUNCT
ejpam-6750	332	10	liddy	liddy	PROPN
ejpam-6750	332	11	chen	chen	PROPN
ejpam-6750	332	12	,	,	PUNCT
ejpam-6750	332	13	florian	florian	PROPN
ejpam-6750	332	14	lienert	lienert	PROPN
ejpam-6750	332	15	,	,	PUNCT
ejpam-6750	332	16	heinz	heinz	ADJ
ejpam-6750	332	17	weidenthaler	weidenthaler	NOUN
ejpam-6750	332	18	,	,	PUNCT
ejpam-6750	332	19	l.	l.	PROPN
ejpam-6750	332	20	r.	r.	PROPN
ejpam-6750	332	21	baer	baer	PROPN
ejpam-6750	332	22	,	,	PUNCT
ejpam-6750	332	23	and	and	CCONJ
ejpam-6750	332	24	robert	robert	PROPN
ejpam-6750	332	25	steffen	steffen	PROPN
ejpam-6750	332	26	.	.	PUNCT
ejpam-6750	333	1	the	the	DET
ejpam-6750	333	2	changing	change	VERB
ejpam-6750	333	3	epidemiology	epidemiology	NOUN
ejpam-6750	333	4	of	of	ADP
ejpam-6750	333	5	human	human	ADJ
ejpam-6750	333	6	monkeypox	monkeypox	NOUN
ejpam-6750	333	7	—	—	PUNCT
ejpam-6750	333	8	a	a	DET
ejpam-6750	333	9	potential	potential	ADJ
ejpam-6750	333	10	threat	threat	NOUN
ejpam-6750	333	11	?	?	PUNCT
ejpam-6750	334	1	a	a	DET
ejpam-6750	334	2	systematic	systematic	ADJ
ejpam-6750	334	3	review	review	NOUN
ejpam-6750	334	4	.	.	PUNCT
ejpam-6750	335	1	plos	plos	PROPN
ejpam-6750	335	2	neglected	neglect	VERB
ejpam-6750	335	3	tropical	tropical	ADJ
ejpam-6750	335	4	diseases	disease	NOUN
ejpam-6750	335	5	,	,	PUNCT
ejpam-6750	335	6	16	16	NUM
ejpam-6750	335	7	:	:	PUNCT
ejpam-6750	335	8	e0010141	e0010141	VERB
ejpam-6750	335	9	,	,	PUNCT
ejpam-6750	335	10	02	02	NUM
ejpam-6750	335	11	2022	2022	NUM
ejpam-6750	335	12	.	.	PUNCT
ejpam-6750	336	1	[	[	X
ejpam-6750	336	2	3	3	X
ejpam-6750	336	3	]	]	PUNCT
ejpam-6750	336	4	z.	z.	PROPN
ejpam-6750	336	5	jezek	jezek	PROPN
ejpam-6750	336	6	and	and	CCONJ
ejpam-6750	336	7	f.	f.	PROPN
ejpam-6750	336	8	fenner	fenner	PROPN
ejpam-6750	336	9	.	.	PUNCT
ejpam-6750	337	1	human	human	ADJ
ejpam-6750	337	2	monkeypox	monkeypox	PROPN
ejpam-6750	337	3	.	.	PUNCT
ejpam-6750	338	1	karger	karger	NOUN
ejpam-6750	338	2	publishers	publisher	NOUN
ejpam-6750	338	3	,	,	PUNCT
ejpam-6750	338	4	17	17	NUM
ejpam-6750	338	5	,	,	PUNCT
ejpam-6750	338	6	10	10	NUM
ejpam-6750	338	7	1988	1988	NUM
ejpam-6750	338	8	.	.	PUNCT
ejpam-6750	339	1	[	[	X
ejpam-6750	339	2	4	4	X
ejpam-6750	339	3	]	]	PUNCT
ejpam-6750	339	4	world	world	NOUN
ejpam-6750	339	5	health	health	NOUN
ejpam-6750	339	6	organization	organization	PROPN
ejpam-6750	339	7	.	.	PUNCT
ejpam-6750	340	1	disease	disease	NOUN
ejpam-6750	340	2	outbreak	outbreak	PROPN
ejpam-6750	340	3	news	news	PROPN
ejpam-6750	340	4	,	,	PUNCT
ejpam-6750	340	5	2023	2023	NUM
ejpam-6750	340	6	.	.	PUNCT
ejpam-6750	341	1	[	[	X
ejpam-6750	341	2	5	5	X
ejpam-6750	341	3	]	]	PUNCT
ejpam-6750	341	4	s.	s.	PROPN
ejpam-6750	341	5	a.	a.	PROPN
ejpam-6750	341	6	boone	boone	PROPN
ejpam-6750	341	7	and	and	CCONJ
ejpam-6750	341	8	c.	c.	PROPN
ejpam-6750	341	9	p.	p.	PROPN
ejpam-6750	341	10	gerba	gerba	NOUN
ejpam-6750	341	11	.	.	PUNCT
ejpam-6750	342	1	significance	significance	NOUN
ejpam-6750	342	2	of	of	ADP
ejpam-6750	342	3	fomites	fomite	NOUN
ejpam-6750	342	4	in	in	ADP
ejpam-6750	342	5	the	the	DET
ejpam-6750	342	6	spread	spread	NOUN
ejpam-6750	342	7	of	of	ADP
ejpam-6750	342	8	respiratory	respiratory	ADJ
ejpam-6750	342	9	and	and	CCONJ
ejpam-6750	342	10	enteric	enteric	ADJ
ejpam-6750	342	11	viral	viral	ADJ
ejpam-6750	342	12	disease	disease	NOUN
ejpam-6750	342	13	.	.	PUNCT
ejpam-6750	343	1	applied	apply	VERB
ejpam-6750	343	2	and	and	CCONJ
ejpam-6750	343	3	environmental	environmental	ADJ
ejpam-6750	343	4	microbiology	microbiology	NOUN
ejpam-6750	343	5	,	,	PUNCT
ejpam-6750	343	6	73:1687–1696	73:1687–1696	NUM
ejpam-6750	343	7	,	,	PUNCT
ejpam-6750	343	8	01	01	NUM
ejpam-6750	343	9	2007	2007	NUM
ejpam-6750	343	10	.	.	PUNCT
ejpam-6750	344	1	[	[	X
ejpam-6750	344	2	6	6	NUM
ejpam-6750	344	3	]	]	PUNCT
ejpam-6750	344	4	l.	l.	PROPN
ejpam-6750	344	5	d.	d.	PROPN
ejpam-6750	344	6	nolen	nolen	PROPN
ejpam-6750	344	7	,	,	PUNCT
ejpam-6750	344	8	j.	j.	PROPN
ejpam-6750	344	9	osadebe	osadebe	PROPN
ejpam-6750	344	10	,	,	PUNCT
ejpam-6750	344	11	katomba	katomba	PROPN
ejpam-6750	344	12	,	,	PUNCT
ejpam-6750	344	13	j.	j.	PROPN
ejpam-6750	344	14	likofata	likofata	PROPN
ejpam-6750	344	15	,	,	PUNCT
ejpam-6750	344	16	d.	d.	PROPN
ejpam-6750	344	17	mukadi	mukadi	PROPN
ejpam-6750	344	18	,	,	PUNCT
ejpam-6750	344	19	b.	b.	PROPN
ejpam-6750	344	20	monroe	monroe	PROPN
ejpam-6750	344	21	,	,	PUNCT
ejpam-6750	344	22	j.	j.	PROPN
ejpam-6750	344	23	doty	doty	PROPN
ejpam-6750	344	24	,	,	PUNCT
ejpam-6750	344	25	c.	c.	PROPN
ejpam-6750	344	26	m.	m.	PROPN
ejpam-6750	344	27	hughes	hughes	PROPN
ejpam-6750	344	28	,	,	PUNCT
ejpam-6750	344	29	j.	j.	PROPN
ejpam-6750	344	30	kabamba	kabamba	PROPN
ejpam-6750	344	31	,	,	PUNCT
ejpam-6750	344	32	j.	j.	PROPN
ejpam-6750	344	33	malekani	malekani	PROPN
ejpam-6750	344	34	,	,	PUNCT
ejpam-6750	344	35	p.	p.	PROPN
ejpam-6750	344	36	l.	l.	PROPN
ejpam-6750	344	37	bomponda	bomponda	PROPN
ejpam-6750	344	38	,	,	PUNCT
ejpam-6750	344	39	j.	j.	PROPN
ejpam-6750	344	40	i.	i.	PROPN
ejpam-6750	344	41	lokota	lokota	PROPN
ejpam-6750	344	42	,	,	PUNCT
ejpam-6750	344	43	m.	m.	NOUN
ejpam-6750	344	44	p.	p.	PROPN
ejpam-6750	344	45	balilo	balilo	ADV
ejpam-6750	344	46	,	,	PUNCT
ejpam-6750	344	47	t.	t.	PROPN
ejpam-6750	344	48	likafi	likafi	PROPN
ejpam-6750	344	49	,	,	PUNCT
ejpam-6750	344	50	r.	r.	PROPN
ejpam-6750	344	51	s.	s.	PROPN
ejpam-6750	344	52	lushima	lushima	PROPN
ejpam-6750	344	53	,	,	PUNCT
ejpam-6750	344	54	b.	b.	PROPN
ejpam-6750	344	55	k.	k.	PROPN
ejpam-6750	344	56	ilunga	ilunga	PROPN
ejpam-6750	344	57	,	,	PUNCT
ejpam-6750	344	58	f.	f.	PROPN
ejpam-6750	344	59	nkawa	nkawa	PROPN
ejpam-6750	344	60	,	,	PUNCT
ejpam-6750	344	61	e.	e.	PROPN
ejpam-6750	344	62	pukuta	pukuta	PROPN
ejpam-6750	344	63	,	,	PUNCT
ejpam-6750	344	64	s.	s.	PROPN
ejpam-6750	344	65	karhemere	karhemere	PROPN
ejpam-6750	344	66	,	,	PUNCT
ejpam-6750	344	67	j.	j.	PROPN
ejpam-6750	344	68	j.	j.	PROPN
ejpam-6750	344	69	m.	m.	PROPN
ejpam-6750	344	70	tamfum	tamfum	PROPN
ejpam-6750	344	71	,	,	PUNCT
ejpam-6750	344	72	b.	b.	PROPN
ejpam-6750	344	73	nguete	nguete	PROPN
ejpam-6750	344	74	,	,	PUNCT
ejpam-6750	344	75	e.	e.	PROPN
ejpam-6750	344	76	o.	o.	PROPN
ejpam-6750	344	77	wemakoy	wemakoy	PROPN
ejpam-6750	344	78	,	,	PUNCT
ejpam-6750	344	79	a.	a.	PROPN
ejpam-6750	344	80	mccollum	mccollum	PROPN
ejpam-6750	344	81	,	,	PUNCT
ejpam-6750	344	82	and	and	CCONJ
ejpam-6750	344	83	m.	m.	PROPN
ejpam-6750	344	84	reynolds	reynolds	PROPN
ejpam-6750	344	85	.	.	PROPN
ejpam-6750	345	1	extended	extend	VERB
ejpam-6750	345	2	human	human	NOUN
ejpam-6750	345	3	-	-	PUNCT
ejpam-6750	345	4	to	to	ADP
ejpam-6750	345	5	-	-	PUNCT
ejpam-6750	345	6	human	human	ADJ
ejpam-6750	345	7	transmission	transmission	NOUN
ejpam-6750	345	8	during	during	ADP
ejpam-6750	345	9	a	a	DET
ejpam-6750	345	10	monkeypox	monkeypox	NOUN
ejpam-6750	345	11	outbreak	outbreak	NOUN
ejpam-6750	345	12	in	in	ADP
ejpam-6750	345	13	the	the	DET
ejpam-6750	345	14	democratic	democratic	ADJ
ejpam-6750	345	15	republic	republic	NOUN
ejpam-6750	345	16	of	of	ADP
ejpam-6750	345	17	the	the	DET
ejpam-6750	345	18	congo	congo	NOUN
ejpam-6750	345	19	.	.	PUNCT
ejpam-6750	346	1	emerging	emerge	VERB
ejpam-6750	346	2	infectious	infectious	ADJ
ejpam-6750	346	3	diseases	disease	NOUN
ejpam-6750	346	4	,	,	PUNCT
ejpam-6750	346	5	22:1014–1021	22:1014–1021	NUM
ejpam-6750	346	6	,	,	PUNCT
ejpam-6750	346	7	06	06	NUM
ejpam-6750	346	8	2016	2016	NUM
ejpam-6750	346	9	.	.	PUNCT
ejpam-6750	347	1	[	[	X
ejpam-6750	347	2	7	7	X
ejpam-6750	347	3	]	]	PUNCT
ejpam-6750	347	4	a.	a.	NOUN
ejpam-6750	347	5	yinka	yinka	PROPN
ejpam-6750	347	6	-	-	PUNCT
ejpam-6750	347	7	ogunleye	ogunleye	ADJ
ejpam-6750	347	8	,	,	PUNCT
ejpam-6750	347	9	o.	o.	PROPN
ejpam-6750	347	10	aruna	aruna	PROPN
ejpam-6750	347	11	,	,	PUNCT
ejpam-6750	347	12	d.	d.	PROPN
ejpam-6750	347	13	ogoina	ogoina	PROPN
ejpam-6750	347	14	,	,	PUNCT
ejpam-6750	347	15	n.	n.	PROPN
ejpam-6750	347	16	aworabhi	aworabhi	PROPN
ejpam-6750	347	17	,	,	PUNCT
ejpam-6750	347	18	w.	w.	PROPN
ejpam-6750	347	19	eteng	eteng	PROPN
ejpam-6750	347	20	,	,	PUNCT
ejpam-6750	347	21	s.	s.	PROPN
ejpam-6750	347	22	badaru	badaru	PROPN
ejpam-6750	347	23	,	,	PUNCT
ejpam-6750	347	24	a.	a.	PROPN
ejpam-6750	347	25	mohammed	mohammed	PROPN
ejpam-6750	347	26	,	,	PUNCT
ejpam-6750	347	27	j.	j.	PROPN
ejpam-6750	347	28	agenyi	agenyi	PROPN
ejpam-6750	347	29	,	,	PUNCT
ejpam-6750	347	30	e.	e.	PROPN
ejpam-6750	347	31	n.	n.	PROPN
ejpam-6750	347	32	etebu	etebu	PROPN
ejpam-6750	347	33	,	,	PUNCT
ejpam-6750	347	34	t.	t.	PROPN
ejpam-6750	347	35	w.	w.	PROPN
ejpam-6750	347	36	numbere	numbere	PROPN
ejpam-6750	347	37	,	,	PUNCT
ejpam-6750	347	38	a.	a.	NOUN
ejpam-6750	347	39	ndoreraho	ndoreraho	PROPN
ejpam-6750	347	40	,	,	PUNCT
ejpam-6750	347	41	e.	e.	PROPN
ejpam-6750	347	42	nkunzimana	nkunzimana	PROPN
ejpam-6750	347	43	,	,	PUNCT
ejpam-6750	347	44	y.	y.	PROPN
ejpam-6750	347	45	disu	disu	PROPN
ejpam-6750	347	46	,	,	PUNCT
ejpam-6750	347	47	m.	m.	NOUN
ejpam-6750	347	48	dalhat	dalhat	PROPN
ejpam-6750	347	49	,	,	PUNCT
ejpam-6750	347	50	p.	p.	PROPN
ejpam-6750	347	51	nguku	nguku	PROPN
ejpam-6750	347	52	,	,	PUNCT
ejpam-6750	347	53	a.	a.	PROPN
ejpam-6750	347	54	mohammed	mohammed	PROPN
ejpam-6750	347	55	,	,	PUNCT
ejpam-6750	347	56	m.	m.	NOUN
ejpam-6750	347	57	saleh	saleh	PROPN
ejpam-6750	347	58	,	,	PUNCT
ejpam-6750	347	59	a.	a.	PROPN
ejpam-6750	347	60	mccollum	mccollum	PROPN
ejpam-6750	347	61	,	,	PUNCT
ejpam-6750	347	62	k.	k.	PROPN
ejpam-6750	347	63	wilkins	wilkins	PROPN
ejpam-6750	347	64	,	,	PUNCT
ejpam-6750	347	65	o.	o.	PROPN
ejpam-6750	347	66	faye	faye	PROPN
ejpam-6750	347	67	,	,	PUNCT
ejpam-6750	347	68	a.	a.	PROPN
ejpam-6750	347	69	sall	sall	PROPN
ejpam-6750	347	70	,	,	PUNCT
ejpam-6750	347	71	c.	c.	PROPN
ejpam-6750	347	72	happi	happi	PROPN
ejpam-6750	347	73	,	,	PUNCT
ejpam-6750	347	74	n.	n.	PROPN
ejpam-6750	347	75	mba	mba	PROPN
ejpam-6750	347	76	,	,	PUNCT
ejpam-6750	347	77	o.	o.	NOUN
ejpam-6750	347	78	ojo	ojo	PROPN
ejpam-6750	347	79	,	,	PUNCT
ejpam-6750	347	80	and	and	CCONJ
ejpam-6750	347	81	c.	c.	PROPN
ejpam-6750	347	82	ihekweazu	ihekweazu	NOUN
ejpam-6750	347	83	.	.	PUNCT
ejpam-6750	348	1	reemergence	reemergence	NOUN
ejpam-6750	348	2	of	of	ADP
ejpam-6750	348	3	human	human	ADJ
ejpam-6750	348	4	monkeypox	monkeypox	NOUN
ejpam-6750	348	5	in	in	ADP
ejpam-6750	348	6	nigeria	nigeria	PROPN
ejpam-6750	348	7	,	,	PUNCT
ejpam-6750	348	8	2017	2017	NUM
ejpam-6750	348	9	.	.	PUNCT
ejpam-6750	349	1	emerging	emerge	VERB
ejpam-6750	349	2	infectious	infectious	ADJ
ejpam-6750	349	3	diseases	disease	NOUN
ejpam-6750	349	4	,	,	PUNCT
ejpam-6750	349	5	24(6	24(6	NUM
ejpam-6750	349	6	)	)	PUNCT
ejpam-6750	349	7	,	,	PUNCT
ejpam-6750	349	8	06	06	NUM
ejpam-6750	349	9	2018	2018	NUM
ejpam-6750	349	10	.	.	PUNCT
ejpam-6750	350	1	[	[	X
ejpam-6750	350	2	8	8	NUM
ejpam-6750	350	3	]	]	X
ejpam-6750	350	4	c.	c.	PROPN
ejpam-6750	350	5	morgan	morgan	PROPN
ejpam-6750	350	6	,	,	PUNCT
ejpam-6750	350	7	f.	f.	PROPN
ejpam-6750	350	8	whitehill	whitehill	PROPN
ejpam-6750	350	9	,	,	PUNCT
ejpam-6750	350	10	j.	j.	PROPN
ejpam-6750	350	11	doty	doty	PROPN
ejpam-6750	350	12	,	,	PUNCT
ejpam-6750	350	13	j.	j.	PROPN
ejpam-6750	350	14	schulte	schulte	PROPN
ejpam-6750	350	15	,	,	PUNCT
ejpam-6750	350	16	a.	a.	PROPN
ejpam-6750	350	17	matheny	matheny	PROPN
ejpam-6750	350	18	,	,	PUNCT
ejpam-6750	350	19	j.	j.	PROPN
ejpam-6750	350	20	stringer	stringer	PROPN
ejpam-6750	350	21	,	,	PUNCT
ejpam-6750	350	22	l.	l.	PROPN
ejpam-6750	350	23	delaney	delaney	PROPN
ejpam-6750	350	24	,	,	PUNCT
ejpam-6750	350	25	r.	r.	PROPN
ejpam-6750	350	26	esparza	esparza	PROPN
ejpam-6750	350	27	,	,	PUNCT
ejpam-6750	350	28	a.	a.	PROPN
ejpam-6750	350	29	rao	rao	PROPN
ejpam-6750	350	30	,	,	PUNCT
ejpam-6750	350	31	and	and	CCONJ
ejpam-6750	350	32	a.	a.	PROPN
ejpam-6750	350	33	mccollum	mccollum	PROPN
ejpam-6750	350	34	.	.	PUNCT
ejpam-6750	351	1	environmental	environmental	ADJ
ejpam-6750	351	2	persistence	persistence	NOUN
ejpam-6750	351	3	of	of	ADP
ejpam-6750	351	4	monkeypox	monkeypox	PROPN
ejpam-6750	351	5	virus	virus	NOUN
ejpam-6750	351	6	on	on	ADP
ejpam-6750	351	7	surfaces	surface	NOUN
ejpam-6750	351	8	in	in	ADP
ejpam-6750	351	9	household	household	NOUN
ejpam-6750	351	10	of	of	ADP
ejpam-6750	351	11	person	person	NOUN
ejpam-6750	351	12	with	with	ADP
ejpam-6750	351	13	travel	travel	NOUN
ejpam-6750	351	14	-	-	PUNCT
ejpam-6750	351	15	associated	associate	VERB
ejpam-6750	351	16	infection	infection	NOUN
ejpam-6750	351	17	,	,	PUNCT
ejpam-6750	351	18	dallas	dallas	PROPN
ejpam-6750	351	19	,	,	PUNCT
ejpam-6750	351	20	texas	texas	PROPN
ejpam-6750	351	21	,	,	PUNCT
ejpam-6750	351	22	usa	usa	PROPN
ejpam-6750	351	23	,	,	PUNCT
ejpam-6750	351	24	2021	2021	NUM
ejpam-6750	351	25	.	.	PUNCT
ejpam-6750	352	1	emerging	emerge	VERB
ejpam-6750	352	2	infectious	infectious	ADJ
ejpam-6750	352	3	diseases	disease	NOUN
ejpam-6750	352	4	,	,	PUNCT
ejpam-6750	352	5	28	28	NUM
ejpam-6750	352	6	,	,	PUNCT
ejpam-6750	352	7	10	10	NUM
ejpam-6750	352	8	2022	2022	NUM
ejpam-6750	352	9	.	.	PUNCT
ejpam-6750	353	1	[	[	X
ejpam-6750	353	2	9	9	NUM
ejpam-6750	353	3	]	]	X
ejpam-6750	353	4	d.	d.	PROPN
ejpam-6750	353	5	nörz	nörz	PROPN
ejpam-6750	353	6	,	,	PUNCT
ejpam-6750	353	7	s.	s.	PROPN
ejpam-6750	353	8	pfefferle	pfefferle	PROPN
ejpam-6750	353	9	,	,	PUNCT
ejpam-6750	353	10	t.	t.	PROPN
ejpam-6750	353	11	brehm	brehm	PROPN
ejpam-6750	353	12	,	,	PUNCT
ejpam-6750	353	13	g.	g.	PROPN
ejpam-6750	353	14	franke	franke	PROPN
ejpam-6750	353	15	,	,	PUNCT
ejpam-6750	353	16	i.	i.	PROPN
ejpam-6750	353	17	grewe	grewe	PROPN
ejpam-6750	353	18	,	,	PUNCT
ejpam-6750	353	19	b.	b.	PROPN
ejpam-6750	353	20	knobling	knobling	PROPN
ejpam-6750	353	21	,	,	PUNCT
ejpam-6750	353	22	m.	m.	NOUN
ejpam-6750	353	23	aepfelbacher	aepfelbacher	PROPN
ejpam-6750	353	24	,	,	PUNCT
ejpam-6750	353	25	s.	s.	PROPN
ejpam-6750	353	26	huber	huber	PROPN
ejpam-6750	353	27	,	,	PUNCT
ejpam-6750	353	28	e.	e.	PROPN
ejpam-6750	353	29	klupp	klupp	PROPN
ejpam-6750	353	30	,	,	PUNCT
ejpam-6750	353	31	s.	s.	PROPN
ejpam-6750	353	32	jordan	jordan	PROPN
ejpam-6750	353	33	,	,	PUNCT
ejpam-6750	353	34	m.	m.	PROPN
ejpam-6750	353	35	addo	addo	PROPN
ejpam-6750	353	36	,	,	PUNCT
ejpam-6750	353	37	j.	j.	PROPN
ejpam-6750	353	38	schulze	schulze	PROPN
ejpam-6750	353	39	zur	zur	PROPN
ejpam-6750	353	40	wiesch	wiesch	PROPN
ejpam-6750	353	41	,	,	PUNCT
ejpam-6750	353	42	s.	s.	PROPN
ejpam-6750	353	43	schmiedel	schmiedel	PROPN
ejpam-6750	353	44	,	,	PUNCT
ejpam-6750	353	45	m.	m.	NOUN
ejpam-6750	353	46	lütgehetmann	lütgehetmann	PROPN
ejpam-6750	353	47	,	,	PUNCT
ejpam-6750	353	48	and	and	CCONJ
ejpam-6750	353	49	j.	j.	PROPN
ejpam-6750	353	50	knobloch	knobloch	PROPN
ejpam-6750	353	51	.	.	PUNCT
ejpam-6750	354	1	evidence	evidence	NOUN
ejpam-6750	354	2	of	of	ADP
ejpam-6750	354	3	surface	surface	NOUN
ejpam-6750	354	4	contamination	contamination	NOUN
ejpam-6750	354	5	in	in	ADP
ejpam-6750	354	6	hospital	hospital	NOUN
ejpam-6750	354	7	rooms	room	NOUN
ejpam-6750	354	8	occupied	occupy	VERB
ejpam-6750	354	9	by	by	ADP
ejpam-6750	354	10	patients	patient	NOUN
ejpam-6750	354	11	infected	infect	VERB
ejpam-6750	354	12	with	with	ADP
ejpam-6750	354	13	monkeypox	monkeypox	PROPN
ejpam-6750	354	14	,	,	PUNCT
ejpam-6750	354	15	germany	germany	PROPN
ejpam-6750	354	16	,	,	PUNCT
ejpam-6750	354	17	june	june	PROPN
ejpam-6750	354	18	2022	2022	NUM
ejpam-6750	354	19	.	.	PUNCT
ejpam-6750	355	1	eurosurveillance	eurosurveillance	NOUN
ejpam-6750	355	2	,	,	PUNCT
ejpam-6750	355	3	27	27	NUM
ejpam-6750	355	4	,	,	PUNCT
ejpam-6750	355	5	06	06	NUM
ejpam-6750	355	6	2022	2022	NUM
ejpam-6750	355	7	.	.	PUNCT
ejpam-6750	356	1	[	[	X
ejpam-6750	356	2	10	10	NUM
ejpam-6750	356	3	]	]	PUNCT
ejpam-6750	356	4	m.	m.	NOUN
ejpam-6750	356	5	christodoulidou	christodoulidou	ADJ
ejpam-6750	356	6	and	and	CCONJ
ejpam-6750	356	7	n.	n.	PROPN
ejpam-6750	356	8	mabbott	mabbott	NOUN
ejpam-6750	356	9	.	.	PUNCT
ejpam-6750	357	1	efficacy	efficacy	NOUN
ejpam-6750	357	2	of	of	ADP
ejpam-6750	357	3	smallpox	smallpox	NOUN
ejpam-6750	357	4	vaccines	vaccine	NOUN
ejpam-6750	357	5	against	against	ADP
ejpam-6750	357	6	mpox	mpox	NOUN
ejpam-6750	357	7	infections	infection	NOUN
ejpam-6750	357	8	in	in	ADP
ejpam-6750	357	9	humans	human	NOUN
ejpam-6750	357	10	.	.	PUNCT
ejpam-6750	358	1	immunotherapy	immunotherapy	NOUN
ejpam-6750	358	2	advances	advance	NOUN
ejpam-6750	358	3	,	,	PUNCT
ejpam-6750	358	4	3	3	NUM
ejpam-6750	358	5	,	,	PUNCT
ejpam-6750	358	6	10	10	NUM
ejpam-6750	358	7	2023	2023	NUM
ejpam-6750	358	8	.	.	PUNCT
ejpam-6750	359	1	[	[	X
ejpam-6750	359	2	11	11	NUM
ejpam-6750	359	3	]	]	PUNCT
ejpam-6750	359	4	a.	a.	NOUN
ejpam-6750	359	5	hossain	hossain	PROPN
ejpam-6750	359	6	,	,	PUNCT
ejpam-6750	359	7	md	md	PROPN
ejpam-6750	359	8	.	.	PROPN
ejpam-6750	359	9	a.	a.	PROPN
ejpam-6750	359	10	monem	monem	PROPN
ejpam-6750	359	11	,	,	PUNCT
ejpam-6750	359	12	m.	m.	NOUN
ejpam-6750	359	13	rahman	rahman	PROPN
ejpam-6750	359	14	,	,	PUNCT
ejpam-6750	359	15	and	and	CCONJ
ejpam-6750	359	16	r.	r.	PROPN
ejpam-6750	359	17	raza	raza	PROPN
ejpam-6750	359	18	.	.	PUNCT
ejpam-6750	360	1	mpox	mpox	NOUN
ejpam-6750	360	2	(	(	PUNCT
ejpam-6750	360	3	monkeypox	monkeypox	NOUN
ejpam-6750	360	4	):	):	PUNCT
ejpam-6750	360	5	a	a	DET
ejpam-6750	360	6	comprehensive	comprehensive	ADJ
ejpam-6750	360	7	update	update	NOUN
ejpam-6750	360	8	of	of	ADP
ejpam-6750	360	9	current	current	ADJ
ejpam-6750	360	10	epidemic	epidemic	NOUN
ejpam-6750	360	11	evidence	evidence	NOUN
ejpam-6750	360	12	.	.	PUNCT
ejpam-6750	361	1	science	science	NOUN
ejpam-6750	361	2	in	in	ADP
ejpam-6750	361	3	one	one	NUM
ejpam-6750	361	4	health	health	NOUN
ejpam-6750	361	5	,	,	PUNCT
ejpam-6750	361	6	4:100100	4:100100	NUM
ejpam-6750	361	7	,	,	PUNCT
ejpam-6750	361	8	12	12	NUM
ejpam-6750	361	9	2024	2024	NUM
ejpam-6750	361	10	.	.	PUNCT
ejpam-6750	362	1	[	[	X
ejpam-6750	362	2	12	12	NUM
ejpam-6750	362	3	]	]	PUNCT
ejpam-6750	362	4	e.	e.	PROPN
ejpam-6750	362	5	roxas	roxas	PROPN
ejpam-6750	362	6	,	,	PUNCT
ejpam-6750	362	7	p.	p.	PROPN
ejpam-6750	362	8	j.	j.	PROPN
ejpam-6750	362	9	acacio	acacio	PROPN
ejpam-6750	362	10	-	-	PUNCT
ejpam-6750	362	11	claro	claro	PROPN
ejpam-6750	362	12	,	,	PUNCT
ejpam-6750	362	13	m.	m.	NOUN
ejpam-6750	362	14	m.	m.	NOUN
ejpam-6750	362	15	lota	lota	PROPN
ejpam-6750	362	16	,	,	PUNCT
ejpam-6750	362	17	a.	a.	NOUN
ejpam-6750	362	18	abeleda	abeleda	PROPN
ejpam-6750	362	19	,	,	PUNCT
ejpam-6750	362	20	s.	s.	PROPN
ejpam-6750	362	21	n.	n.	PROPN
ejpam-6750	362	22	dalisay	dalisay	PROPN
ejpam-6750	362	23	,	,	PUNCT
ejpam-6750	362	24	m.	m.	PROPN
ejpam-6750	362	25	landicho	landicho	PROPN
ejpam-6750	362	26	,	,	PUNCT
ejpam-6750	362	27	j.	j.	PROPN
ejpam-6750	362	28	a.	a.	PROPN
ejpam-6750	362	29	puebla	puebla	PROPN
ejpam-6750	362	30	jr	jr	PROPN
ejpam-6750	362	31	.	.	PROPN
ejpam-6750	362	32	/	/	SYM
ejpam-6750	362	33	eur	eur	PROPN
ejpam-6750	362	34	.	.	PUNCT
ejpam-6750	363	1	j.	j.	PROPN
ejpam-6750	363	2	pure	pure	PROPN
ejpam-6750	363	3	appl	appl	PROPN
ejpam-6750	363	4	.	.	PROPN
ejpam-6750	363	5	math	math	PROPN
ejpam-6750	363	6	,	,	PUNCT
ejpam-6750	363	7	18	18	NUM
ejpam-6750	363	8	(	(	PUNCT
ejpam-6750	363	9	4	4	NUM
ejpam-6750	363	10	)	)	PUNCT
ejpam-6750	363	11	(	(	PUNCT
ejpam-6750	363	12	2025	2025	NUM
ejpam-6750	363	13	)	)	PUNCT
ejpam-6750	363	14	,	,	PUNCT
ejpam-6750	363	15	6750	6750	NUM
ejpam-6750	363	16	19	19	NUM
ejpam-6750	363	17	of	of	ADP
ejpam-6750	363	18	19	19	NUM
ejpam-6750	363	19	y.	y.	PROPN
ejpam-6750	363	20	fujimori	fujimori	PROPN
ejpam-6750	363	21	,	,	PUNCT
ejpam-6750	363	22	j.	j.	PROPN
ejpam-6750	363	23	z.	z.	PROPN
ejpam-6750	363	24	rosuello	rosuello	PROPN
ejpam-6750	363	25	,	,	PUNCT
ejpam-6750	363	26	j.	j.	PROPN
ejpam-6750	363	27	kaufman	kaufman	PROPN
ejpam-6750	363	28	,	,	PUNCT
ejpam-6750	363	29	m.	m.	NOUN
ejpam-6750	363	30	danchin	danchin	PROPN
ejpam-6750	363	31	,	,	PUNCT
ejpam-6750	363	32	v.	v.	PROPN
ejpam-6750	363	33	belizario	belizario	PROPN
ejpam-6750	363	34	,	,	PUNCT
ejpam-6750	363	35	and	and	CCONJ
ejpam-6750	363	36	f.	f.	PROPN
ejpam-6750	363	37	vogt	vogt	PROPN
ejpam-6750	363	38	.	.	PUNCT
ejpam-6750	364	1	enablers	enabler	NOUN
ejpam-6750	364	2	and	and	CCONJ
ejpam-6750	364	3	barriers	barrier	NOUN
ejpam-6750	364	4	of	of	ADP
ejpam-6750	364	5	covid-19	covid-19	PROPN
ejpam-6750	364	6	vaccination	vaccination	NOUN
ejpam-6750	364	7	in	in	ADP
ejpam-6750	364	8	the	the	DET
ejpam-6750	364	9	philippines	philippine	NOUN
ejpam-6750	364	10	.	.	PUNCT
ejpam-6750	365	1	vaccines	vaccine	NOUN
ejpam-6750	365	2	,	,	PUNCT
ejpam-6750	365	3	13:719	13:719	NUM
ejpam-6750	365	4	–	–	PUNCT
ejpam-6750	365	5	719	719	NUM
ejpam-6750	365	6	,	,	PUNCT
ejpam-6750	365	7	07	07	NUM
ejpam-6750	365	8	2025	2025	NUM
ejpam-6750	365	9	.	.	PUNCT
ejpam-6750	366	1	[	[	X
ejpam-6750	366	2	13	13	NUM
ejpam-6750	366	3	]	]	PUNCT
ejpam-6750	366	4	m.	m.	NOUN
ejpam-6750	366	5	ngungu	ngungu	PROPN
ejpam-6750	366	6	,	,	PUNCT
ejpam-6750	366	7	e.	e.	PROPN
ejpam-6750	366	8	addai	addai	PROPN
ejpam-6750	366	9	,	,	PUNCT
ejpam-6750	366	10	a.	a.	PROPN
ejpam-6750	366	11	adeniji	adeniji	PROPN
ejpam-6750	366	12	,	,	PUNCT
ejpam-6750	366	13	a.	a.	PROPN
ejpam-6750	366	14	umar	umar	PROPN
ejpam-6750	366	15	muhammad	muhammad	PROPN
ejpam-6750	366	16	,	,	PUNCT
ejpam-6750	366	17	and	and	CCONJ
ejpam-6750	366	18	kayode	kayode	PROPN
ejpam-6750	366	19	o.	o.	PROPN
ejpam-6750	366	20	mathematical	mathematical	PROPN
ejpam-6750	366	21	epidemiological	epidemiological	ADJ
ejpam-6750	366	22	modeling	modeling	NOUN
ejpam-6750	366	23	and	and	CCONJ
ejpam-6750	366	24	analysis	analysis	NOUN
ejpam-6750	366	25	of	of	ADP
ejpam-6750	366	26	monkeypox	monkeypox	NOUN
ejpam-6750	366	27	dynamism	dynamism	NOUN
ejpam-6750	366	28	with	with	ADP
ejpam-6750	366	29	nonpharmaceutical	nonpharmaceutical	ADJ
ejpam-6750	366	30	intervention	intervention	NOUN
ejpam-6750	366	31	using	use	VERB
ejpam-6750	366	32	real	real	ADJ
ejpam-6750	366	33	data	datum	NOUN
ejpam-6750	366	34	from	from	ADP
ejpam-6750	366	35	united	united	ADJ
ejpam-6750	366	36	kingdom	kingdom	PROPN
ejpam-6750	366	37	.	.	PUNCT
ejpam-6750	367	1	frontiers	frontier	NOUN
ejpam-6750	367	2	in	in	ADP
ejpam-6750	367	3	public	public	ADJ
ejpam-6750	367	4	health	health	NOUN
ejpam-6750	367	5	,	,	PUNCT
ejpam-6750	367	6	11	11	NUM
ejpam-6750	367	7	,	,	PUNCT
ejpam-6750	367	8	02	02	NUM
ejpam-6750	367	9	2023	2023	NUM
ejpam-6750	367	10	.	.	PUNCT
ejpam-6750	368	1	[	[	X
ejpam-6750	368	2	14	14	NUM
ejpam-6750	368	3	]	]	PUNCT
ejpam-6750	368	4	j.	j.	PROPN
ejpam-6750	368	5	puebla	puebla	PROPN
ejpam-6750	368	6	,	,	PUNCT
ejpam-6750	368	7	j.	j.	PROPN
ejpam-6750	368	8	m.	m.	PROPN
ejpam-6750	368	9	macalalag	macalalag	PROPN
ejpam-6750	368	10	,	,	PUNCT
ejpam-6750	368	11	and	and	CCONJ
ejpam-6750	368	12	k.	k.	PROPN
ejpam-6750	368	13	pajaron	pajaron	PROPN
ejpam-6750	368	14	.	.	PUNCT
ejpam-6750	369	1	a	a	DET
ejpam-6750	369	2	mathematical	mathematical	ADJ
ejpam-6750	369	3	model	model	NOUN
ejpam-6750	369	4	for	for	ADP
ejpam-6750	369	5	covid-19	covid-19	PROPN
ejpam-6750	369	6	and	and	CCONJ
ejpam-6750	369	7	tuberculosis	tuberculosis	PRON
ejpam-6750	369	8	coinfection	coinfection	NOUN
ejpam-6750	369	9	with	with	ADP
ejpam-6750	369	10	the	the	DET
ejpam-6750	369	11	effect	effect	NOUN
ejpam-6750	369	12	of	of	ADP
ejpam-6750	369	13	a	a	DET
ejpam-6750	369	14	quarantine	quarantine	NOUN
ejpam-6750	369	15	measure	measure	NOUN
ejpam-6750	369	16	.	.	PUNCT
ejpam-6750	370	1	european	european	ADJ
ejpam-6750	370	2	journal	journal	PROPN
ejpam-6750	370	3	of	of	ADP
ejpam-6750	370	4	pure	pure	ADJ
ejpam-6750	370	5	and	and	CCONJ
ejpam-6750	370	6	applied	applied	ADJ
ejpam-6750	370	7	mathematics	mathematic	NOUN
ejpam-6750	370	8	,	,	PUNCT
ejpam-6750	370	9	18:6149–6149	18:6149–6149	NUM
ejpam-6750	370	10	,	,	PUNCT
ejpam-6750	370	11	08	08	NUM
ejpam-6750	370	12	2025	2025	NUM
ejpam-6750	370	13	.	.	PUNCT
ejpam-6750	371	1	[	[	X
ejpam-6750	371	2	15	15	NUM
ejpam-6750	371	3	]	]	PUNCT
ejpam-6750	371	4	b.	b.	PROPN
ejpam-6750	371	5	bolaji	bolaji	PROPN
ejpam-6750	371	6	,	,	PUNCT
ejpam-6750	371	7	a.	a.	PROPN
ejpam-6750	371	8	ibrahim	ibrahim	PROPN
ejpam-6750	371	9	,	,	PUNCT
ejpam-6750	371	10	f.	f.	PROPN
ejpam-6750	371	11	ani	ani	PROPN
ejpam-6750	371	12	,	,	PUNCT
ejpam-6750	371	13	b.	b.	NOUN
ejpam-6750	371	14	omede	omede	NOUN
ejpam-6750	371	15	,	,	PUNCT
ejpam-6750	371	16	and	and	CCONJ
ejpam-6750	371	17	g.	g.	PROPN
ejpam-6750	371	18	acheneje	acheneje	PROPN
ejpam-6750	371	19	.	.	PUNCT
ejpam-6750	372	1	a	a	DET
ejpam-6750	372	2	model	model	NOUN
ejpam-6750	372	3	for	for	ADP
ejpam-6750	372	4	the	the	DET
ejpam-6750	372	5	control	control	NOUN
ejpam-6750	372	6	of	of	ADP
ejpam-6750	372	7	transmission	transmission	NOUN
ejpam-6750	372	8	dynamics	dynamic	NOUN
ejpam-6750	372	9	of	of	ADP
ejpam-6750	372	10	human	human	ADJ
ejpam-6750	372	11	monkeypox	monkeypox	NOUN
ejpam-6750	372	12	disease	disease	NOUN
ejpam-6750	372	13	in	in	ADP
ejpam-6750	372	14	sub	sub	ADJ
ejpam-6750	372	15	-	-	ADJ
ejpam-6750	372	16	saharan	saharan	ADJ
ejpam-6750	372	17	africa	africa	PROPN
ejpam-6750	372	18	.	.	PUNCT
ejpam-6750	373	1	journal	journal	PROPN
ejpam-6750	373	2	of	of	ADP
ejpam-6750	373	3	the	the	DET
ejpam-6750	373	4	nigerian	nigerian	ADJ
ejpam-6750	373	5	society	society	NOUN
ejpam-6750	373	6	of	of	ADP
ejpam-6750	373	7	physical	physical	ADJ
ejpam-6750	373	8	sciences	science	NOUN
ejpam-6750	373	9	,	,	PUNCT
ejpam-6750	373	10	pages	page	NOUN
ejpam-6750	373	11	1800–1800	1800–1800	NUM
ejpam-6750	373	12	,	,	PUNCT
ejpam-6750	373	13	05	05	NUM
ejpam-6750	373	14	2024	2024	NUM
ejpam-6750	373	15	.	.	PUNCT
ejpam-6750	374	1	[	[	X
ejpam-6750	374	2	16	16	NUM
ejpam-6750	374	3	]	]	PUNCT
ejpam-6750	374	4	a.	a.	NOUN
ejpam-6750	374	5	hassan	hassan	PROPN
ejpam-6750	374	6	,	,	PUNCT
ejpam-6750	374	7	a.	a.	NOUN
ejpam-6750	374	8	dipo	dipo	NOUN
ejpam-6750	374	9	,	,	PUNCT
ejpam-6750	374	10	and	and	CCONJ
ejpam-6750	374	11	muhamad	muhamad	PROPN
ejpam-6750	374	12	.	.	PUNCT
ejpam-6750	374	13	optimal	optimal	ADJ
ejpam-6750	374	14	control	control	NOUN
ejpam-6750	374	15	and	and	CCONJ
ejpam-6750	374	16	stability	stability	NOUN
ejpam-6750	374	17	analysis	analysis	NOUN
ejpam-6750	374	18	of	of	ADP
ejpam-6750	374	19	monkeypox	monkeypox	NOUN
ejpam-6750	374	20	transmission	transmission	NOUN
ejpam-6750	374	21	dynamics	dynamic	NOUN
ejpam-6750	374	22	with	with	ADP
ejpam-6750	374	23	the	the	DET
ejpam-6750	374	24	impact	impact	NOUN
ejpam-6750	374	25	of	of	ADP
ejpam-6750	374	26	contaminated	contaminate	VERB
ejpam-6750	374	27	surfaces	surface	NOUN
ejpam-6750	374	28	.	.	PUNCT
ejpam-6750	375	1	frontiers	frontier	NOUN
ejpam-6750	375	2	in	in	ADP
ejpam-6750	375	3	applied	apply	VERB
ejpam-6750	375	4	mathematics	mathematic	NOUN
ejpam-6750	375	5	and	and	CCONJ
ejpam-6750	375	6	statistics	statistic	NOUN
ejpam-6750	375	7	,	,	PUNCT
ejpam-6750	375	8	10	10	NUM
ejpam-6750	375	9	,	,	PUNCT
ejpam-6750	375	10	03	03	NUM
ejpam-6750	375	11	2024	2024	NUM
ejpam-6750	375	12	.	.	PUNCT
ejpam-6750	376	1	[	[	X
ejpam-6750	376	2	17	17	NUM
ejpam-6750	376	3	]	]	PUNCT
ejpam-6750	376	4	a.	a.	NOUN
ejpam-6750	376	5	alshehri	alshehri	PROPN
ejpam-6750	376	6	and	and	CCONJ
ejpam-6750	376	7	s.	s.	PROPN
ejpam-6750	376	8	ullah	ullah	PROPN
ejpam-6750	376	9	.	.	PUNCT
ejpam-6750	377	1	optimal	optimal	ADJ
ejpam-6750	377	2	control	control	NOUN
ejpam-6750	377	3	analysis	analysis	NOUN
ejpam-6750	377	4	of	of	ADP
ejpam-6750	377	5	monkeypox	monkeypox	NOUN
ejpam-6750	377	6	disease	disease	NOUN
ejpam-6750	377	7	with	with	ADP
ejpam-6750	377	8	the	the	DET
ejpam-6750	377	9	impact	impact	NOUN
ejpam-6750	377	10	of	of	ADP
ejpam-6750	377	11	environmental	environmental	ADJ
ejpam-6750	377	12	transmission	transmission	NOUN
ejpam-6750	377	13	.	.	PUNCT
ejpam-6750	378	1	aims	aim	VERB
ejpam-6750	378	2	mathematics	mathematic	NOUN
ejpam-6750	378	3	,	,	PUNCT
ejpam-6750	378	4	8:16926–16960	8:16926–16960	NUM
ejpam-6750	378	5	,	,	PUNCT
ejpam-6750	378	6	01	01	NUM
ejpam-6750	378	7	2023	2023	NUM
ejpam-6750	378	8	.	.	PUNCT
ejpam-6750	379	1	[	[	X
ejpam-6750	379	2	18	18	NUM
ejpam-6750	379	3	]	]	X
ejpam-6750	379	4	o.	o.	PROPN
ejpam-6750	379	5	j.	j.	PROPN
ejpam-6750	379	6	peter	peter	PROPN
ejpam-6750	379	7	,	,	PUNCT
ejpam-6750	379	8	s.	s.	PROPN
ejpam-6750	379	9	kumar	kumar	PROPN
ejpam-6750	379	10	,	,	PUNCT
ejpam-6750	379	11	n.	n.	PROPN
ejpam-6750	379	12	kumari	kumari	PROPN
ejpam-6750	379	13	,	,	PUNCT
ejpam-6750	379	14	f.	f.	PROPN
ejpam-6750	379	15	a.	a.	PROPN
ejpam-6750	379	16	oguntolu	oguntolu	PROPN
ejpam-6750	379	17	,	,	PUNCT
ejpam-6750	379	18	k.	k.	PROPN
ejpam-6750	379	19	oshinubi	oshinubi	PROPN
ejpam-6750	379	20	,	,	PUNCT
ejpam-6750	379	21	and	and	CCONJ
ejpam-6750	379	22	r.	r.	PROPN
ejpam-6750	379	23	musa	musa	PROPN
ejpam-6750	379	24	.	.	PUNCT
ejpam-6750	380	1	transmission	transmission	NOUN
ejpam-6750	380	2	dynamics	dynamic	NOUN
ejpam-6750	380	3	of	of	ADP
ejpam-6750	380	4	monkeypox	monkeypox	PROPN
ejpam-6750	380	5	virus	virus	NOUN
ejpam-6750	380	6	:	:	PUNCT
ejpam-6750	380	7	a	a	DET
ejpam-6750	380	8	mathematical	mathematical	ADJ
ejpam-6750	380	9	modelling	modelling	NOUN
ejpam-6750	380	10	approach	approach	NOUN
ejpam-6750	380	11	.	.	PUNCT
ejpam-6750	381	1	modeling	model	VERB
ejpam-6750	381	2	earth	earth	NOUN
ejpam-6750	381	3	systems	system	NOUN
ejpam-6750	381	4	and	and	CCONJ
ejpam-6750	381	5	environment	environment	NOUN
ejpam-6750	381	6	,	,	PUNCT
ejpam-6750	381	7	10	10	NUM
ejpam-6750	381	8	2021	2021	NUM
ejpam-6750	381	9	.	.	PUNCT
ejpam-6750	382	1	[	[	X
ejpam-6750	382	2	19	19	NUM
ejpam-6750	382	3	]	]	X
ejpam-6750	382	4	c.	c.	PROPN
ejpam-6750	382	5	madubueze	madubueze	PROPN
ejpam-6750	382	6	,	,	PUNCT
ejpam-6750	382	7	i.	i.	PROPN
ejpam-6750	382	8	onwubuya	onwubuya	PROPN
ejpam-6750	382	9	,	,	PUNCT
ejpam-6750	382	10	g.	g.	PROPN
ejpam-6750	382	11	nkem	nkem	PROPN
ejpam-6750	382	12	,	,	PUNCT
ejpam-6750	382	13	and	and	CCONJ
ejpam-6750	382	14	z.	z.	PROPN
ejpam-6750	382	15	chazuka	chazuka	PROPN
ejpam-6750	382	16	.	.	PUNCT
ejpam-6750	383	1	the	the	DET
ejpam-6750	383	2	transmission	transmission	NOUN
ejpam-6750	383	3	dynamics	dynamic	NOUN
ejpam-6750	383	4	of	of	ADP
ejpam-6750	383	5	the	the	DET
ejpam-6750	383	6	monkeypox	monkeypox	PROPN
ejpam-6750	383	7	virus	virus	NOUN
ejpam-6750	383	8	in	in	ADP
ejpam-6750	383	9	the	the	DET
ejpam-6750	383	10	presence	presence	NOUN
ejpam-6750	383	11	of	of	ADP
ejpam-6750	383	12	environmental	environmental	ADJ
ejpam-6750	383	13	transmission	transmission	NOUN
ejpam-6750	383	14	.	.	PUNCT
ejpam-6750	384	1	frontiers	frontier	NOUN
ejpam-6750	384	2	in	in	ADP
ejpam-6750	384	3	applied	apply	VERB
ejpam-6750	384	4	mathematics	mathematic	NOUN
ejpam-6750	384	5	and	and	CCONJ
ejpam-6750	384	6	statistics	statistic	NOUN
ejpam-6750	384	7	,	,	PUNCT
ejpam-6750	384	8	8	8	NUM
ejpam-6750	384	9	,	,	PUNCT
ejpam-6750	384	10	11	11	NUM
ejpam-6750	384	11	2022	2022	NUM
ejpam-6750	384	12	.	.	PUNCT
ejpam-6750	385	1	[	[	X
ejpam-6750	385	2	20	20	NUM
ejpam-6750	385	3	]	]	X
ejpam-6750	385	4	o.	o.	NOUN
ejpam-6750	385	5	diekmann	diekmann	PROPN
ejpam-6750	385	6	,	,	PUNCT
ejpam-6750	385	7	j.	j.	PROPN
ejpam-6750	385	8	a.	a.	PROPN
ejpam-6750	385	9	p.	p.	PROPN
ejpam-6750	385	10	heesterbeek	heesterbeek	PROPN
ejpam-6750	385	11	,	,	PUNCT
ejpam-6750	385	12	and	and	CCONJ
ejpam-6750	385	13	j.	j.	PROPN
ejpam-6750	385	14	a.	a.	PROPN
ejpam-6750	385	15	j.	j.	PROPN
ejpam-6750	385	16	metz	metz	PROPN
ejpam-6750	385	17	.	.	PUNCT
ejpam-6750	386	1	on	on	ADP
ejpam-6750	386	2	the	the	DET
ejpam-6750	386	3	definition	definition	NOUN
ejpam-6750	386	4	and	and	CCONJ
ejpam-6750	386	5	the	the	DET
ejpam-6750	386	6	computation	computation	NOUN
ejpam-6750	386	7	of	of	ADP
ejpam-6750	386	8	the	the	DET
ejpam-6750	386	9	basic	basic	ADJ
ejpam-6750	386	10	reproduction	reproduction	NOUN
ejpam-6750	386	11	ratio	ratio	NOUN
ejpam-6750	386	12	r	r	NOUN
ejpam-6750	386	13	0	0	NUM
ejpam-6750	386	14	in	in	ADP
ejpam-6750	386	15	models	model	NOUN
ejpam-6750	386	16	for	for	ADP
ejpam-6750	386	17	infectious	infectious	ADJ
ejpam-6750	386	18	diseases	disease	NOUN
ejpam-6750	386	19	in	in	ADP
ejpam-6750	386	20	heterogeneous	heterogeneous	ADJ
ejpam-6750	386	21	populations	population	NOUN
ejpam-6750	386	22	.	.	PUNCT
ejpam-6750	387	1	journal	journal	PROPN
ejpam-6750	387	2	of	of	ADP
ejpam-6750	387	3	mathematical	mathematical	ADJ
ejpam-6750	387	4	biology	biology	NOUN
ejpam-6750	387	5	,	,	PUNCT
ejpam-6750	387	6	28	28	NUM
ejpam-6750	387	7	,	,	PUNCT
ejpam-6750	387	8	06	06	NUM
ejpam-6750	387	9	1990	1990	NUM
ejpam-6750	387	10	.	.	PUNCT
ejpam-6750	388	1	[	[	X
ejpam-6750	388	2	21	21	NUM
ejpam-6750	388	3	]	]	X
ejpam-6750	388	4	v.	v.	X
ejpam-6750	388	5	d.	d.	PROPN
ejpam-6750	388	6	driessche	driessche	PROPN
ejpam-6750	388	7	and	and	CCONJ
ejpam-6750	388	8	j.	j.	PROPN
ejpam-6750	388	9	watmough	watmough	PROPN
ejpam-6750	388	10	.	.	PUNCT
ejpam-6750	389	1	reproduction	reproduction	NOUN
ejpam-6750	389	2	numbers	number	NOUN
ejpam-6750	389	3	and	and	CCONJ
ejpam-6750	389	4	sub	sub	ADJ
ejpam-6750	389	5	-	-	ADJ
ejpam-6750	389	6	threshold	threshold	ADJ
ejpam-6750	389	7	endemic	endemic	ADJ
ejpam-6750	389	8	equilibria	equilibrium	NOUN
ejpam-6750	389	9	for	for	ADP
ejpam-6750	389	10	compartmental	compartmental	ADJ
ejpam-6750	389	11	models	model	NOUN
ejpam-6750	389	12	of	of	ADP
ejpam-6750	389	13	disease	disease	NOUN
ejpam-6750	389	14	transmission	transmission	NOUN
ejpam-6750	389	15	.	.	PUNCT
ejpam-6750	390	1	mathematical	mathematical	ADJ
ejpam-6750	390	2	biosciences	bioscience	NOUN
ejpam-6750	390	3	,	,	PUNCT
ejpam-6750	390	4	180:29–48	180:29–48	NUM
ejpam-6750	390	5	,	,	PUNCT
ejpam-6750	390	6	11	11	NUM
ejpam-6750	390	7	2002	2002	NUM
ejpam-6750	390	8	.	.	PUNCT
ejpam-6750	391	1	[	[	X
ejpam-6750	391	2	22	22	NUM
ejpam-6750	391	3	]	]	X
ejpam-6750	391	4	c.	c.	PROPN
ejpam-6750	391	5	castillo	castillo	PROPN
ejpam-6750	391	6	-	-	PUNCT
ejpam-6750	391	7	chávez	chávez	PROPN
ejpam-6750	391	8	,	,	PUNCT
ejpam-6750	391	9	z.	z.	PROPN
ejpam-6750	391	10	feng	feng	PROPN
ejpam-6750	391	11	,	,	PUNCT
ejpam-6750	391	12	w.	w.	PROPN
ejpam-6750	391	13	huang	huang	PROPN
ejpam-6750	391	14	,	,	PUNCT
ejpam-6750	391	15	p.	p.	PROPN
ejpam-6750	391	16	driessche	driessche	PROPN
ejpam-6750	391	17	,	,	PUNCT
ejpam-6750	391	18	d.	d.	PROPN
ejpam-6750	391	19	kirschner	kirschner	PROPN
ejpam-6750	391	20	,	,	PUNCT
ejpam-6750	391	21	and	and	CCONJ
ejpam-6750	391	22	y.	y.	PROPN
ejpam-6750	391	23	abdulaziz	abdulaziz	PROPN
ejpam-6750	391	24	.	.	PUNCT
ejpam-6750	392	1	on	on	ADP
ejpam-6750	392	2	the	the	DET
ejpam-6750	392	3	computation	computation	NOUN
ejpam-6750	392	4	of	of	ADP
ejpam-6750	392	5	r0	r0	NOUN
ejpam-6750	392	6	and	and	CCONJ
ejpam-6750	392	7	its	its	PRON
ejpam-6750	392	8	role	role	NOUN
ejpam-6750	392	9	in	in	ADP
ejpam-6750	392	10	global	global	ADJ
ejpam-6750	392	11	stability	stability	NOUN
ejpam-6750	392	12	,	,	PUNCT
ejpam-6750	392	13	01	01	NUM
ejpam-6750	392	14	2022	2022	NUM
ejpam-6750	392	15	.	.	PUNCT
ejpam-6750	393	1	[	[	X
ejpam-6750	393	2	23	23	NUM
ejpam-6750	393	3	]	]	PUNCT
ejpam-6750	393	4	t.	t.	PROPN
ejpam-6750	393	5	roskilly	roskilly	ADV
ejpam-6750	393	6	and	and	CCONJ
ejpam-6750	393	7	r.	r.	PROPN
ejpam-6750	393	8	mikalsen	mikalsen	PROPN
ejpam-6750	393	9	.	.	PUNCT
ejpam-6750	394	1	marine	marine	PROPN
ejpam-6750	394	2	systems	system	NOUN
ejpam-6750	394	3	identification	identification	NOUN
ejpam-6750	394	4	,	,	PUNCT
ejpam-6750	394	5	modeling	modeling	NOUN
ejpam-6750	394	6	and	and	CCONJ
ejpam-6750	394	7	control	control	NOUN
ejpam-6750	394	8	.	.	PUNCT
ejpam-6750	395	1	elsevier	elsevier	PROPN
ejpam-6750	395	2	/	/	SYM
ejpam-6750	395	3	bh	bh	PROPN
ejpam-6750	395	4	,	,	PUNCT
ejpam-6750	395	5	butterworth	butterworth	PROPN
ejpam-6750	395	6	-	-	PUNCT
ejpam-6750	395	7	heinemann	heinemann	PROPN
ejpam-6750	395	8	is	be	AUX
ejpam-6750	395	9	an	an	DET
ejpam-6750	395	10	imprint	imprint	NOUN
ejpam-6750	395	11	of	of	ADP
ejpam-6750	395	12	elsevier	elsevier	NOUN
ejpam-6750	395	13	,	,	PUNCT
ejpam-6750	395	14	2015	2015	NUM
ejpam-6750	395	15	.	.	PUNCT
ejpam-6750	396	1	[	[	X
ejpam-6750	396	2	24	24	NUM
ejpam-6750	396	3	]	]	PUNCT
ejpam-6750	396	4	j.	j.	PROPN
ejpam-6750	396	5	p.	p.	PROPN
ejpam-6750	396	6	lasalle	lasalle	PROPN
ejpam-6750	396	7	.	.	PUNCT
ejpam-6750	397	1	the	the	DET
ejpam-6750	397	2	stability	stability	NOUN
ejpam-6750	397	3	of	of	ADP
ejpam-6750	397	4	dynamical	dynamical	ADJ
ejpam-6750	397	5	systems	system	NOUN
ejpam-6750	397	6	.	.	PUNCT
ejpam-6750	398	1	siam	siam	PROPN
ejpam-6750	398	2	,	,	PUNCT
ejpam-6750	398	3	01	01	NUM
ejpam-6750	398	4	1976	1976	NUM
ejpam-6750	398	5	.	.	PUNCT
ejpam-6750	399	1	[	[	X
ejpam-6750	399	2	25	25	NUM
ejpam-6750	399	3	]	]	PUNCT
ejpam-6750	399	4	m.	m.	NOUN
ejpam-6750	399	5	martcheva	martcheva	PROPN
ejpam-6750	399	6	.	.	PUNCT
ejpam-6750	400	1	an	an	DET
ejpam-6750	400	2	introduction	introduction	NOUN
ejpam-6750	400	3	to	to	ADP
ejpam-6750	400	4	mathematical	mathematical	ADJ
ejpam-6750	400	5	epidemiology	epidemiology	NOUN
ejpam-6750	400	6	.	.	PUNCT
ejpam-6750	401	1	springer	springer	PROPN
ejpam-6750	401	2	us	we	PRON
ejpam-6750	401	3	,	,	PUNCT
ejpam-6750	401	4	2015	2015	NUM
ejpam-6750	401	5	.	.	PUNCT