id	sid	tid	token	lemma	pos
ejpam-6005	1	1	european	european	PROPN
ejpam-6005	1	2	journal	journal	PROPN
ejpam-6005	1	3	of	of	ADP
ejpam-6005	1	4	pure	pure	ADJ
ejpam-6005	1	5	and	and	CCONJ
ejpam-6005	1	6	applied	applied	ADJ
ejpam-6005	1	7	mathematics	mathematic	NOUN
ejpam-6005	1	8	2025	2025	NUM
ejpam-6005	1	9	,	,	PUNCT
ejpam-6005	1	10	vol	vol	NOUN
ejpam-6005	1	11	.	.	PROPN
ejpam-6005	1	12	18	18	NUM
ejpam-6005	1	13	,	,	PUNCT
ejpam-6005	1	14	issue	issue	NOUN
ejpam-6005	1	15	2	2	NUM
ejpam-6005	1	16	,	,	PUNCT
ejpam-6005	1	17	article	article	NOUN
ejpam-6005	1	18	number	number	NOUN
ejpam-6005	1	19	6005	6005	NUM
ejpam-6005	1	20	issn	issn	PROPN
ejpam-6005	1	21	1307	1307	NUM
ejpam-6005	1	22	-	-	SYM
ejpam-6005	1	23	5543	5543	NUM
ejpam-6005	1	24	–	–	PUNCT
ejpam-6005	1	25	ejpam.com	ejpam.com	X
ejpam-6005	1	26	published	publish	VERB
ejpam-6005	1	27	by	by	ADP
ejpam-6005	1	28	new	new	PROPN
ejpam-6005	1	29	york	york	PROPN
ejpam-6005	1	30	business	business	PROPN
ejpam-6005	1	31	global	global	PROPN
ejpam-6005	1	32	numerical	numerical	ADJ
ejpam-6005	1	33	analysis	analysis	NOUN
ejpam-6005	1	34	of	of	ADP
ejpam-6005	1	35	deterministic	deterministic	ADJ
ejpam-6005	1	36	and	and	CCONJ
ejpam-6005	1	37	stochastic	stochastic	ADJ
ejpam-6005	1	38	model	model	NOUN
ejpam-6005	1	39	of	of	ADP
ejpam-6005	1	40	covid-19	covid-19	PROPN
ejpam-6005	1	41	co	co	NOUN
ejpam-6005	1	42	-	-	NOUN
ejpam-6005	1	43	infection	infection	NOUN
ejpam-6005	1	44	with	with	ADP
ejpam-6005	1	45	influenza	influenza	NOUN
ejpam-6005	1	46	rahim	rahim	PROPN
ejpam-6005	1	47	ud	ud	ADP
ejpam-6005	1	48	din1,∗	din1,∗	PROPN
ejpam-6005	1	49	,	,	PUNCT
ejpam-6005	1	50	muhammad	muhammad	PROPN
ejpam-6005	1	51	shoaib	shoaib	PROPN
ejpam-6005	1	52	arif2	arif2	PROPN
ejpam-6005	1	53	1	1	NUM
ejpam-6005	1	54	department	department	NOUN
ejpam-6005	1	55	of	of	ADP
ejpam-6005	1	56	mathematics	mathematics	PROPN
ejpam-6005	1	57	,	,	PUNCT
ejpam-6005	1	58	air	air	PROPN
ejpam-6005	1	59	university	university	PROPN
ejpam-6005	1	60	,	,	PUNCT
ejpam-6005	1	61	paf	paf	PROPN
ejpam-6005	1	62	complex	complex	PROPN
ejpam-6005	1	63	,	,	PUNCT
ejpam-6005	1	64	islamabad	islamabad	PROPN
ejpam-6005	1	65	44000	44000	NUM
ejpam-6005	1	66	,	,	PUNCT
ejpam-6005	1	67	pakistan	pakistan	PROPN
ejpam-6005	1	68	,	,	PUNCT
ejpam-6005	1	69	2	2	NUM
ejpam-6005	1	70	department	department	NOUN
ejpam-6005	1	71	of	of	ADP
ejpam-6005	1	72	mathematics	mathematic	NOUN
ejpam-6005	1	73	and	and	CCONJ
ejpam-6005	1	74	sciences	science	NOUN
ejpam-6005	1	75	,	,	PUNCT
ejpam-6005	1	76	college	college	NOUN
ejpam-6005	1	77	of	of	ADP
ejpam-6005	1	78	humanities	humanity	NOUN
ejpam-6005	1	79	and	and	CCONJ
ejpam-6005	1	80	sciences	science	NOUN
ejpam-6005	1	81	,	,	PUNCT
ejpam-6005	1	82	prince	prince	PROPN
ejpam-6005	1	83	sultan	sultan	PROPN
ejpam-6005	1	84	university	university	PROPN
ejpam-6005	1	85	,	,	PUNCT
ejpam-6005	1	86	riyadh	riyadh	NOUN
ejpam-6005	1	87	,	,	PUNCT
ejpam-6005	1	88	11586	11586	NUM
ejpam-6005	1	89	,	,	PUNCT
ejpam-6005	1	90	saudi	saudi	PROPN
ejpam-6005	1	91	arabia	arabia	PROPN
ejpam-6005	1	92	.	.	PUNCT
ejpam-6005	2	1	abstract	abstract	ADJ
ejpam-6005	2	2	.	.	PUNCT
ejpam-6005	3	1	the	the	DET
ejpam-6005	3	2	dynamics	dynamic	NOUN
ejpam-6005	3	3	of	of	ADP
ejpam-6005	3	4	co	co	ADJ
ejpam-6005	3	5	-	-	ADJ
ejpam-6005	3	6	infection	infection	ADJ
ejpam-6005	3	7	model	model	NOUN
ejpam-6005	3	8	of	of	ADP
ejpam-6005	3	9	sars	sar	NOUN
ejpam-6005	3	10	-	-	PUNCT
ejpam-6005	3	11	cov-2	cov-2	PART
ejpam-6005	3	12	and	and	CCONJ
ejpam-6005	3	13	influenza	influenza	NOUN
ejpam-6005	3	14	is	be	AUX
ejpam-6005	3	15	presented	present	VERB
ejpam-6005	3	16	in	in	ADP
ejpam-6005	3	17	this	this	DET
ejpam-6005	3	18	paper	paper	NOUN
ejpam-6005	3	19	.	.	PUNCT
ejpam-6005	4	1	a	a	DET
ejpam-6005	4	2	detailed	detailed	ADJ
ejpam-6005	4	3	analysis	analysis	NOUN
ejpam-6005	4	4	is	be	AUX
ejpam-6005	4	5	conducted	conduct	VERB
ejpam-6005	4	6	on	on	ADP
ejpam-6005	4	7	the	the	DET
ejpam-6005	4	8	possible	possible	ADJ
ejpam-6005	4	9	effects	effect	NOUN
ejpam-6005	4	10	of	of	ADP
ejpam-6005	4	11	the	the	DET
ejpam-6005	4	12	influenza	influenza	NOUN
ejpam-6005	4	13	vaccination	vaccination	NOUN
ejpam-6005	4	14	alone	alone	ADV
ejpam-6005	4	15	as	as	ADV
ejpam-6005	4	16	well	well	ADV
ejpam-6005	4	17	as	as	ADP
ejpam-6005	4	18	the	the	DET
ejpam-6005	4	19	combined	combined	ADJ
ejpam-6005	4	20	effect	effect	NOUN
ejpam-6005	4	21	of	of	ADP
ejpam-6005	4	22	both	both	DET
ejpam-6005	4	23	vaccinations	vaccination	NOUN
ejpam-6005	4	24	on	on	ADP
ejpam-6005	4	25	the	the	DET
ejpam-6005	4	26	co	co	NOUN
ejpam-6005	4	27	-	-	NOUN
ejpam-6005	4	28	infection	infection	NOUN
ejpam-6005	4	29	dynamics	dynamic	NOUN
ejpam-6005	4	30	.	.	PUNCT
ejpam-6005	5	1	the	the	DET
ejpam-6005	5	2	two	two	NUM
ejpam-6005	5	3	diseases	disease	NOUN
ejpam-6005	5	4	’	'	PUNCT
ejpam-6005	5	5	basic	basic	ADJ
ejpam-6005	5	6	reproduction	reproduction	NOUN
ejpam-6005	5	7	numbers	number	NOUN
ejpam-6005	5	8	utilizing	utilize	VERB
ejpam-6005	5	9	the	the	DET
ejpam-6005	5	10	next	next	ADJ
ejpam-6005	5	11	-	-	PUNCT
ejpam-6005	5	12	generation	generation	NOUN
ejpam-6005	5	13	matrix	matrix	NOUN
ejpam-6005	5	14	method	method	NOUN
ejpam-6005	5	15	.	.	PUNCT
ejpam-6005	6	1	endemic	endemic	ADJ
ejpam-6005	6	2	equilibrium	equilibrium	NOUN
ejpam-6005	6	3	point	point	NOUN
ejpam-6005	6	4	(	(	PUNCT
ejpam-6005	6	5	eep	eep	NOUN
ejpam-6005	6	6	)	)	PUNCT
ejpam-6005	6	7	,	,	PUNCT
ejpam-6005	6	8	and	and	CCONJ
ejpam-6005	6	9	disease	disease	NOUN
ejpam-6005	6	10	free	free	ADJ
ejpam-6005	6	11	equilibrium	equilibrium	NOUN
ejpam-6005	6	12	points	point	NOUN
ejpam-6005	6	13	(	(	PUNCT
ejpam-6005	6	14	dfep	dfep	NOUN
ejpam-6005	6	15	)	)	PUNCT
ejpam-6005	6	16	are	be	AUX
ejpam-6005	6	17	calculated	calculate	VERB
ejpam-6005	6	18	for	for	ADP
ejpam-6005	6	19	deterministic	deterministic	ADJ
ejpam-6005	6	20	model	model	NOUN
ejpam-6005	6	21	.	.	PUNCT
ejpam-6005	7	1	the	the	DET
ejpam-6005	7	2	global	global	ADJ
ejpam-6005	7	3	stability	stability	NOUN
ejpam-6005	7	4	of	of	ADP
ejpam-6005	7	5	the	the	DET
ejpam-6005	7	6	model	model	NOUN
ejpam-6005	7	7	equilibrium	equilibrium	NOUN
ejpam-6005	7	8	is	be	AUX
ejpam-6005	7	9	demonstrated	demonstrate	VERB
ejpam-6005	7	10	using	use	VERB
ejpam-6005	7	11	the	the	DET
ejpam-6005	7	12	lyapunov	lyapunov	ADJ
ejpam-6005	7	13	function	function	NOUN
ejpam-6005	7	14	function	function	NOUN
ejpam-6005	7	15	,	,	PUNCT
ejpam-6005	7	16	and	and	CCONJ
ejpam-6005	7	17	the	the	DET
ejpam-6005	7	18	local	local	ADJ
ejpam-6005	7	19	stability	stability	NOUN
ejpam-6005	7	20	is	be	AUX
ejpam-6005	7	21	discussed	discuss	VERB
ejpam-6005	7	22	for	for	ADP
ejpam-6005	7	23	deterministic	deterministic	ADJ
ejpam-6005	7	24	as	as	ADV
ejpam-6005	7	25	well	well	ADV
ejpam-6005	7	26	as	as	ADP
ejpam-6005	7	27	stochastic	stochastic	NOUN
ejpam-6005	7	28	.	.	PUNCT
ejpam-6005	8	1	there	there	PRON
ejpam-6005	8	2	are	be	VERB
ejpam-6005	8	3	supplied	supply	VERB
ejpam-6005	8	4	simulations	simulation	NOUN
ejpam-6005	8	5	to	to	ADP
ejpam-6005	8	6	highlights	highlight	NOUN
ejpam-6005	8	7	the	the	DET
ejpam-6005	8	8	theoretical	theoretical	ADJ
ejpam-6005	8	9	outcomes	outcome	NOUN
ejpam-6005	8	10	of	of	ADP
ejpam-6005	8	11	the	the	DET
ejpam-6005	8	12	model	model	NOUN
ejpam-6005	8	13	.	.	PUNCT
ejpam-6005	9	1	for	for	ADP
ejpam-6005	9	2	each	each	DET
ejpam-6005	9	3	infection	infection	NOUN
ejpam-6005	9	4	,	,	PUNCT
ejpam-6005	9	5	we	we	PRON
ejpam-6005	9	6	compute	compute	VERB
ejpam-6005	9	7	the	the	DET
ejpam-6005	9	8	basic	basic	ADJ
ejpam-6005	9	9	reproductive	reproductive	ADJ
ejpam-6005	9	10	numbers	number	NOUN
ejpam-6005	9	11	r01	r01	PROPN
ejpam-6005	9	12	<	<	X
ejpam-6005	9	13	1	1	NUM
ejpam-6005	9	14	,	,	PUNCT
ejpam-6005	9	15	and	and	CCONJ
ejpam-6005	9	16	r02	r02	VERB
ejpam-6005	9	17	<	<	X
ejpam-6005	9	18	1	1	NUM
ejpam-6005	9	19	.	.	PUNCT
ejpam-6005	9	20	to	to	PART
ejpam-6005	9	21	determine	determine	VERB
ejpam-6005	9	22	the	the	DET
ejpam-6005	9	23	realistic	realistic	ADJ
ejpam-6005	9	24	values	value	NOUN
ejpam-6005	9	25	of	of	ADP
ejpam-6005	9	26	the	the	DET
ejpam-6005	9	27	model	model	NOUN
ejpam-6005	9	28	parameters	parameter	NOUN
ejpam-6005	9	29	,	,	PUNCT
ejpam-6005	9	30	data	datum	NOUN
ejpam-6005	9	31	regarding	regard	VERB
ejpam-6005	9	32	covid-19	covid-19	PROPN
ejpam-6005	9	33	instances	instance	NOUN
ejpam-6005	9	34	was	be	AUX
ejpam-6005	9	35	obtained	obtain	VERB
ejpam-6005	9	36	from	from	ADP
ejpam-6005	9	37	china	china	PROPN
ejpam-6005	9	38	national	national	PROPN
ejpam-6005	9	39	health	health	PROPN
ejpam-6005	9	40	commission	commission	PROPN
ejpam-6005	9	41	.	.	PUNCT
ejpam-6005	10	1	sensitivity	sensitivity	NOUN
ejpam-6005	10	2	study	study	NOUN
ejpam-6005	10	3	employing	employ	VERB
ejpam-6005	10	4	the	the	DET
ejpam-6005	10	5	prcc	prcc	NOUN
ejpam-6005	10	6	technique	technique	NOUN
ejpam-6005	10	7	to	to	PART
ejpam-6005	10	8	look	look	VERB
ejpam-6005	10	9	into	into	ADP
ejpam-6005	10	10	the	the	DET
ejpam-6005	10	11	key	key	ADJ
ejpam-6005	10	12	variables	variable	NOUN
ejpam-6005	10	13	that	that	PRON
ejpam-6005	10	14	affect	affect	VERB
ejpam-6005	10	15	r01	r01	PROPN
ejpam-6005	10	16	,	,	PUNCT
ejpam-6005	10	17	or	or	CCONJ
ejpam-6005	10	18	r02	r02	VERB
ejpam-6005	10	19	<	<	X
ejpam-6005	10	20	1	1	NUM
ejpam-6005	10	21	decrease	decrease	NOUN
ejpam-6005	10	22	or	or	CCONJ
ejpam-6005	10	23	increase	increase	VERB
ejpam-6005	10	24	.	.	PUNCT
ejpam-6005	11	1	we	we	PRON
ejpam-6005	11	2	show	show	VERB
ejpam-6005	11	3	the	the	DET
ejpam-6005	11	4	numerical	numerical	ADJ
ejpam-6005	11	5	simulation	simulation	NOUN
ejpam-6005	11	6	of	of	ADP
ejpam-6005	11	7	the	the	DET
ejpam-6005	11	8	model	model	NOUN
ejpam-6005	11	9	using	use	VERB
ejpam-6005	11	10	non	non	ADJ
ejpam-6005	11	11	-	-	ADJ
ejpam-6005	11	12	standard	standard	ADJ
ejpam-6005	11	13	finite	finite	ADJ
ejpam-6005	11	14	difference	difference	NOUN
ejpam-6005	11	15	scheme	scheme	NOUN
ejpam-6005	11	16	(	(	PUNCT
ejpam-6005	11	17	nsfd	nsfd	ADJ
ejpam-6005	11	18	)	)	PUNCT
ejpam-6005	11	19	and	and	CCONJ
ejpam-6005	11	20	stochastic	stochastic	ADJ
ejpam-6005	11	21	numerical	numerical	ADJ
ejpam-6005	11	22	method	method	NOUN
ejpam-6005	11	23	.	.	PUNCT
ejpam-6005	12	1	on	on	ADP
ejpam-6005	12	2	the	the	DET
ejpam-6005	12	3	basis	basis	NOUN
ejpam-6005	12	4	of	of	ADP
ejpam-6005	12	5	these	these	DET
ejpam-6005	12	6	mentioned	mention	VERB
ejpam-6005	12	7	numerical	numerical	ADJ
ejpam-6005	12	8	methods	method	NOUN
ejpam-6005	12	9	,	,	PUNCT
ejpam-6005	12	10	some	some	DET
ejpam-6005	12	11	graphical	graphical	ADJ
ejpam-6005	12	12	results	result	NOUN
ejpam-6005	12	13	for	for	ADP
ejpam-6005	12	14	the	the	DET
ejpam-6005	12	15	model	model	NOUN
ejpam-6005	12	16	with	with	ADP
ejpam-6005	12	17	sensitive	sensitive	ADJ
ejpam-6005	12	18	parameters	parameter	NOUN
ejpam-6005	12	19	are	be	AUX
ejpam-6005	12	20	provided	provide	VERB
ejpam-6005	12	21	.	.	PUNCT
ejpam-6005	13	1	2020	2020	NUM
ejpam-6005	13	2	mathematics	mathematic	NOUN
ejpam-6005	13	3	subject	subject	NOUN
ejpam-6005	13	4	classifications	classification	NOUN
ejpam-6005	13	5	:	:	PUNCT
ejpam-6005	13	6	92d30	92d30	NUM
ejpam-6005	13	7	,	,	PUNCT
ejpam-6005	13	8	60h10	60h10	NUM
ejpam-6005	13	9	,	,	PUNCT
ejpam-6005	13	10	65c30	65c30	NUM
ejpam-6005	13	11	,	,	PUNCT
ejpam-6005	13	12	34f05	34f05	NUM
ejpam-6005	13	13	key	key	ADJ
ejpam-6005	13	14	words	word	NOUN
ejpam-6005	13	15	and	and	CCONJ
ejpam-6005	13	16	phrases	phrase	NOUN
ejpam-6005	13	17	:	:	PUNCT
ejpam-6005	13	18	co	co	ADJ
ejpam-6005	13	19	-	-	ADJ
ejpam-6005	13	20	infection	infection	NOUN
ejpam-6005	13	21	model	model	NOUN
ejpam-6005	13	22	,	,	PUNCT
ejpam-6005	13	23	nsfd	nsfd	ADJ
ejpam-6005	13	24	scheme	scheme	NOUN
ejpam-6005	13	25	,	,	PUNCT
ejpam-6005	13	26	sensitivity	sensitivity	NOUN
ejpam-6005	13	27	analysis	analysis	NOUN
ejpam-6005	13	28	,	,	PUNCT
ejpam-6005	13	29	stochastic	stochastic	ADJ
ejpam-6005	13	30	model	model	NOUN
ejpam-6005	13	31	,	,	PUNCT
ejpam-6005	13	32	stochastic	stochastic	ADJ
ejpam-6005	13	33	numerical	numerical	ADJ
ejpam-6005	13	34	analysis	analysis	NOUN
ejpam-6005	13	35	1	1	NUM
ejpam-6005	13	36	.	.	PUNCT
ejpam-6005	13	37	introduction	introduction	NOUN
ejpam-6005	13	38	in	in	ADP
ejpam-6005	13	39	december	december	PROPN
ejpam-6005	13	40	2019	2019	NUM
ejpam-6005	13	41	,	,	PUNCT
ejpam-6005	13	42	a	a	DET
ejpam-6005	13	43	city	city	NOUN
ejpam-6005	13	44	in	in	ADP
ejpam-6005	13	45	china	china	PROPN
ejpam-6005	13	46	known	know	VERB
ejpam-6005	13	47	as	as	ADP
ejpam-6005	13	48	wuhan	wuhan	PROPN
ejpam-6005	13	49	identified	identify	VERB
ejpam-6005	13	50	the	the	DET
ejpam-6005	13	51	coronavirus	coronavirus	NOUN
ejpam-6005	13	52	for	for	ADP
ejpam-6005	13	53	the	the	DET
ejpam-6005	13	54	first	first	ADJ
ejpam-6005	13	55	time	time	NOUN
ejpam-6005	14	1	[	[	X
ejpam-6005	14	2	1	1	NUM
ejpam-6005	14	3	,	,	PUNCT
ejpam-6005	14	4	2	2	NUM
ejpam-6005	14	5	]	]	PUNCT
ejpam-6005	14	6	.	.	PUNCT
ejpam-6005	15	1	as	as	ADP
ejpam-6005	15	2	of	of	ADP
ejpam-6005	15	3	november	november	PROPN
ejpam-6005	15	4	2022	2022	NUM
ejpam-6005	15	5	,	,	PUNCT
ejpam-6005	15	6	the	the	DET
ejpam-6005	15	7	new	new	ADJ
ejpam-6005	15	8	infection	infection	NOUN
ejpam-6005	15	9	has	have	AUX
ejpam-6005	15	10	caused	cause	VERB
ejpam-6005	15	11	over	over	ADP
ejpam-6005	15	12	six	six	NUM
ejpam-6005	15	13	hundred	hundred	NUM
ejpam-6005	15	14	million	million	NUM
ejpam-6005	15	15	cases	case	NOUN
ejpam-6005	15	16	and	and	CCONJ
ejpam-6005	15	17	over	over	ADP
ejpam-6005	15	18	seven	seven	NUM
ejpam-6005	15	19	million	million	NUM
ejpam-6005	15	20	fatalities	fatality	NOUN
ejpam-6005	15	21	worldwide	worldwide	ADV
ejpam-6005	15	22	in	in	ADP
ejpam-6005	15	23	a	a	DET
ejpam-6005	15	24	short	short	ADJ
ejpam-6005	15	25	period	period	NOUN
ejpam-6005	15	26	of	of	ADP
ejpam-6005	15	27	time	time	NOUN
ejpam-6005	15	28	[	[	X
ejpam-6005	15	29	3	3	NUM
ejpam-6005	15	30	]	]	PUNCT
ejpam-6005	15	31	.	.	PUNCT
ejpam-6005	16	1	severe	severe	ADJ
ejpam-6005	16	2	acute	acute	ADJ
ejpam-6005	16	3	respiratory	respiratory	ADJ
ejpam-6005	16	4	syndrome	syndrome	NOUN
ejpam-6005	16	5	coronavirus	coronavirus	NOUN
ejpam-6005	16	6	2	2	NUM
ejpam-6005	16	7	(	(	PUNCT
ejpam-6005	16	8	sars	sar	NOUN
ejpam-6005	16	9	-	-	PUNCT
ejpam-6005	16	10	cov-2	cov-2	NOUN
ejpam-6005	16	11	)	)	PUNCT
ejpam-6005	16	12	is	be	AUX
ejpam-6005	16	13	the	the	DET
ejpam-6005	16	14	cause	cause	NOUN
ejpam-6005	16	15	of	of	ADP
ejpam-6005	16	16	covid-19	covid-19	PROPN
ejpam-6005	16	17	disease	disease	NOUN
ejpam-6005	16	18	,	,	PUNCT
ejpam-6005	16	19	the	the	DET
ejpam-6005	16	20	common	common	ADJ
ejpam-6005	16	21	cold	cold	NOUN
ejpam-6005	16	22	,	,	PUNCT
ejpam-6005	16	23	and	and	CCONJ
ejpam-6005	16	24	middle	middle	PROPN
ejpam-6005	16	25	east	east	PROPN
ejpam-6005	16	26	respiratory	respiratory	ADJ
ejpam-6005	16	27	syndrome	syndrome	NOUN
ejpam-6005	16	28	(	(	PUNCT
ejpam-6005	16	29	mers	mer	NOUN
ejpam-6005	16	30	)	)	PUNCT
ejpam-6005	16	31	∗corresponding	∗corresponde	VERB
ejpam-6005	16	32	author	author	NOUN
ejpam-6005	16	33	.	.	PUNCT
ejpam-6005	17	1	doi	doi	NOUN
ejpam-6005	17	2	:	:	PUNCT
ejpam-6005	17	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6005	https://doi.org/10.29020/nybg.ejpam.v18i2.6005	PROPN
ejpam-6005	17	4	email	email	NOUN
ejpam-6005	17	5	addresses	address	NOUN
ejpam-6005	17	6	:	:	PUNCT
ejpam-6005	18	1	rahimmaths24@gmail.com	rahimmaths24@gmail.com	PROPN
ejpam-6005	18	2	(	(	PUNCT
ejpam-6005	18	3	rahim	rahim	PROPN
ejpam-6005	18	4	ud	ud	INTJ
ejpam-6005	18	5	din	din	PROPN
ejpam-6005	18	6	)	)	PUNCT
ejpam-6005	18	7	,	,	PUNCT
ejpam-6005	18	8	marif@psu.edu.sa	marif@psu.edu.sa	NOUN
ejpam-6005	18	9	(	(	PUNCT
ejpam-6005	18	10	muhammad	muhammad	PROPN
ejpam-6005	18	11	shoaib	shoaib	PROPN
ejpam-6005	18	12	arif	arif	PROPN
ejpam-6005	18	13	)	)	PUNCT
ejpam-6005	18	14	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6005	19	1	1	1	NUM
ejpam-6005	19	2	copyright	copyright	NOUN
ejpam-6005	19	3	:	:	PUNCT
ejpam-6005	19	4	©	©	PROPN
ejpam-6005	19	5	2025	2025	NUM
ejpam-6005	19	6	the	the	DET
ejpam-6005	19	7	author(s	author(s	NOUN
ejpam-6005	19	8	)	)	PUNCT
ejpam-6005	19	9	.	.	PUNCT
ejpam-6005	20	1	(	(	PUNCT
ejpam-6005	20	2	cc	cc	NOUN
ejpam-6005	20	3	by	by	ADP
ejpam-6005	20	4	-	-	PUNCT
ejpam-6005	20	5	nc	nc	PROPN
ejpam-6005	20	6	4.0	4.0	NUM
ejpam-6005	20	7	)	)	PUNCT
ejpam-6005	20	8	r.	r.	PROPN
ejpam-6005	20	9	ud	ud	PROPN
ejpam-6005	20	10	din	din	PROPN
ejpam-6005	20	11	,	,	PUNCT
ejpam-6005	20	12	m.	m.	PROPN
ejpam-6005	20	13	s.	s.	PROPN
ejpam-6005	20	14	arif	arif	PROPN
ejpam-6005	20	15	/	/	SYM
ejpam-6005	20	16	eur	eur	PROPN
ejpam-6005	20	17	.	.	PUNCT
ejpam-6005	21	1	j.	j.	PROPN
ejpam-6005	21	2	pure	pure	PROPN
ejpam-6005	21	3	appl	appl	PROPN
ejpam-6005	21	4	.	.	PROPN
ejpam-6005	21	5	math	math	PROPN
ejpam-6005	21	6	,	,	PUNCT
ejpam-6005	21	7	18	18	NUM
ejpam-6005	21	8	(	(	PUNCT
ejpam-6005	21	9	2	2	NUM
ejpam-6005	21	10	)	)	PUNCT
ejpam-6005	21	11	(	(	PUNCT
ejpam-6005	21	12	2025	2025	NUM
ejpam-6005	21	13	)	)	PUNCT
ejpam-6005	21	14	,	,	PUNCT
ejpam-6005	21	15	6005	6005	NUM
ejpam-6005	21	16	2	2	NUM
ejpam-6005	21	17	of	of	ADP
ejpam-6005	21	18	27	27	NUM
ejpam-6005	22	1	[	[	X
ejpam-6005	22	2	4	4	NUM
ejpam-6005	22	3	]	]	PUNCT
ejpam-6005	22	4	.	.	PUNCT
ejpam-6005	23	1	however	however	ADV
ejpam-6005	23	2	,	,	PUNCT
ejpam-6005	23	3	covid-19	covid-19	PROPN
ejpam-6005	23	4	is	be	AUX
ejpam-6005	23	5	more	more	ADV
ejpam-6005	23	6	contagious	contagious	ADJ
ejpam-6005	23	7	and	and	CCONJ
ejpam-6005	23	8	deadly	deadly	ADJ
ejpam-6005	23	9	than	than	ADP
ejpam-6005	23	10	the	the	DET
ejpam-6005	23	11	aforementioned	aforementioned	ADJ
ejpam-6005	23	12	illnesses	illness	NOUN
ejpam-6005	23	13	.	.	PUNCT
ejpam-6005	24	1	the	the	DET
ejpam-6005	24	2	world	world	PROPN
ejpam-6005	24	3	health	health	PROPN
ejpam-6005	24	4	organization	organization	NOUN
ejpam-6005	24	5	(	(	PUNCT
ejpam-6005	24	6	who	who	PRON
ejpam-6005	24	7	)	)	PUNCT
ejpam-6005	24	8	considered	consider	VERB
ejpam-6005	24	9	the	the	DET
ejpam-6005	24	10	covid-19	covid-19	PROPN
ejpam-6005	24	11	outbreak	outbreak	NOUN
ejpam-6005	24	12	to	to	PART
ejpam-6005	24	13	be	be	AUX
ejpam-6005	24	14	a	a	DET
ejpam-6005	24	15	pandemic	pandemic	NOUN
ejpam-6005	24	16	in	in	ADP
ejpam-6005	24	17	march	march	PROPN
ejpam-6005	24	18	2020	2020	NUM
ejpam-6005	25	1	[	[	X
ejpam-6005	25	2	4	4	NUM
ejpam-6005	25	3	,	,	PUNCT
ejpam-6005	25	4	5	5	NUM
ejpam-6005	25	5	]	]	PUNCT
ejpam-6005	25	6	.	.	PUNCT
ejpam-6005	26	1	direct	direct	ADJ
ejpam-6005	26	2	transmission	transmission	NOUN
ejpam-6005	26	3	of	of	ADP
ejpam-6005	26	4	the	the	DET
ejpam-6005	26	5	virus	virus	NOUN
ejpam-6005	26	6	can	can	AUX
ejpam-6005	26	7	occur	occur	VERB
ejpam-6005	26	8	from	from	ADP
ejpam-6005	26	9	one	one	NUM
ejpam-6005	26	10	person	person	NOUN
ejpam-6005	26	11	to	to	ADP
ejpam-6005	26	12	another	another	PRON
ejpam-6005	26	13	via	via	ADP
ejpam-6005	26	14	breathing	breathe	VERB
ejpam-6005	26	15	in	in	ADP
ejpam-6005	26	16	harmful	harmful	ADJ
ejpam-6005	26	17	particles	particle	NOUN
ejpam-6005	26	18	generated	generate	VERB
ejpam-6005	26	19	when	when	SCONJ
ejpam-6005	26	20	an	an	DET
ejpam-6005	26	21	infected	infected	ADJ
ejpam-6005	26	22	individual	individual	NOUN
ejpam-6005	26	23	meets	meet	VERB
ejpam-6005	26	24	each	each	DET
ejpam-6005	26	25	other	other	ADJ
ejpam-6005	26	26	,	,	PUNCT
ejpam-6005	26	27	talks	talk	NOUN
ejpam-6005	26	28	,	,	PUNCT
ejpam-6005	26	29	coughs	cough	NOUN
ejpam-6005	26	30	,	,	PUNCT
ejpam-6005	26	31	or	or	CCONJ
ejpam-6005	26	32	sneezes	sneeze	VERB
ejpam-6005	26	33	.	.	PUNCT
ejpam-6005	27	1	if	if	SCONJ
ejpam-6005	27	2	a	a	DET
ejpam-6005	27	3	susceptible	susceptible	ADJ
ejpam-6005	27	4	individual	individual	NOUN
ejpam-6005	27	5	comes	come	VERB
ejpam-6005	27	6	into	into	ADP
ejpam-6005	27	7	contact	contact	NOUN
ejpam-6005	27	8	with	with	ADP
ejpam-6005	27	9	somebody	somebody	PRON
ejpam-6005	27	10	who	who	PRON
ejpam-6005	27	11	is	be	AUX
ejpam-6005	27	12	infected	infect	VERB
ejpam-6005	27	13	through	through	ADP
ejpam-6005	27	14	touching	touching	ADJ
ejpam-6005	27	15	,	,	PUNCT
ejpam-6005	27	16	holding	holding	NOUN
ejpam-6005	27	17	,	,	PUNCT
ejpam-6005	27	18	kissing	kissing	NOUN
ejpam-6005	27	19	,	,	PUNCT
ejpam-6005	27	20	or	or	CCONJ
ejpam-6005	27	21	other	other	ADJ
ejpam-6005	27	22	behaviors	behavior	NOUN
ejpam-6005	27	23	,	,	PUNCT
ejpam-6005	27	24	they	they	PRON
ejpam-6005	27	25	could	could	AUX
ejpam-6005	27	26	become	become	VERB
ejpam-6005	27	27	infected	infect	VERB
ejpam-6005	27	28	with	with	ADP
ejpam-6005	27	29	the	the	DET
ejpam-6005	27	30	virus	virus	NOUN
ejpam-6005	27	31	.	.	PUNCT
ejpam-6005	28	1	the	the	DET
ejpam-6005	28	2	indirect	indirect	ADJ
ejpam-6005	28	3	transmission	transmission	NOUN
ejpam-6005	28	4	mechanism	mechanism	NOUN
ejpam-6005	28	5	involves	involve	VERB
ejpam-6005	28	6	contacting	contact	VERB
ejpam-6005	28	7	a	a	DET
ejpam-6005	28	8	contaminated	contaminate	VERB
ejpam-6005	28	9	surface	surface	NOUN
ejpam-6005	28	10	with	with	ADP
ejpam-6005	28	11	the	the	DET
ejpam-6005	28	12	hands	hand	NOUN
ejpam-6005	28	13	to	to	PART
ejpam-6005	28	14	touch	touch	VERB
ejpam-6005	28	15	the	the	DET
ejpam-6005	28	16	eyes	eye	NOUN
ejpam-6005	28	17	,	,	PUNCT
ejpam-6005	28	18	nose	nose	NOUN
ejpam-6005	28	19	,	,	PUNCT
ejpam-6005	28	20	and	and	CCONJ
ejpam-6005	28	21	mouth	mouth	NOUN
ejpam-6005	29	1	[	[	X
ejpam-6005	29	2	6	6	NUM
ejpam-6005	29	3	,	,	PUNCT
ejpam-6005	29	4	7	7	NUM
ejpam-6005	29	5	]	]	PUNCT
ejpam-6005	29	6	.	.	PUNCT
ejpam-6005	30	1	prior	prior	ADV
ejpam-6005	30	2	to	to	ADP
ejpam-6005	30	3	the	the	DET
ejpam-6005	30	4	introduction	introduction	NOUN
ejpam-6005	30	5	of	of	ADP
ejpam-6005	30	6	vaccines	vaccine	NOUN
ejpam-6005	30	7	,	,	PUNCT
ejpam-6005	30	8	government	government	NOUN
ejpam-6005	30	9	officials	official	NOUN
ejpam-6005	30	10	and	and	CCONJ
ejpam-6005	30	11	decision	decision	NOUN
ejpam-6005	30	12	-	-	PUNCT
ejpam-6005	30	13	makers	maker	NOUN
ejpam-6005	30	14	advised	advise	VERB
ejpam-6005	30	15	the	the	DET
ejpam-6005	30	16	public	public	NOUN
ejpam-6005	30	17	to	to	PART
ejpam-6005	30	18	focus	focus	VERB
ejpam-6005	30	19	on	on	ADP
ejpam-6005	30	20	non	non	ADJ
ejpam-6005	30	21	-	-	ADJ
ejpam-6005	30	22	pharmaceutical	pharmaceutical	ADJ
ejpam-6005	30	23	means	mean	NOUN
ejpam-6005	30	24	.	.	PUNCT
ejpam-6005	31	1	good	good	ADJ
ejpam-6005	31	2	personal	personal	ADJ
ejpam-6005	31	3	hygiene	hygiene	NOUN
ejpam-6005	31	4	,	,	PUNCT
ejpam-6005	31	5	using	use	VERB
ejpam-6005	31	6	the	the	DET
ejpam-6005	31	7	right	right	ADJ
ejpam-6005	31	8	sneezing	sneeze	VERB
ejpam-6005	31	9	mode	mode	NOUN
ejpam-6005	31	10	,	,	PUNCT
ejpam-6005	31	11	physical	physical	ADJ
ejpam-6005	31	12	distancing	distancing	NOUN
ejpam-6005	31	13	,	,	PUNCT
ejpam-6005	31	14	closing	closing	NOUN
ejpam-6005	31	15	schools	school	NOUN
ejpam-6005	31	16	,	,	PUNCT
ejpam-6005	31	17	isolations	isolation	NOUN
ejpam-6005	31	18	,	,	PUNCT
ejpam-6005	31	19	hospitalization	hospitalization	NOUN
ejpam-6005	31	20	of	of	ADP
ejpam-6005	31	21	exposed	expose	VERB
ejpam-6005	31	22	people	people	NOUN
ejpam-6005	31	23	and	and	CCONJ
ejpam-6005	31	24	infected	infected	ADJ
ejpam-6005	31	25	individuals	individual	NOUN
ejpam-6005	31	26	,	,	PUNCT
ejpam-6005	31	27	contact	contact	NOUN
ejpam-6005	31	28	tracing	tracing	NOUN
ejpam-6005	31	29	,	,	PUNCT
ejpam-6005	31	30	and	and	CCONJ
ejpam-6005	31	31	donning	don	VERB
ejpam-6005	31	32	face	face	NOUN
ejpam-6005	31	33	masks	mask	NOUN
ejpam-6005	31	34	are	be	AUX
ejpam-6005	31	35	some	some	PRON
ejpam-6005	31	36	of	of	ADP
ejpam-6005	31	37	these	these	DET
ejpam-6005	31	38	non	non	ADJ
ejpam-6005	31	39	-	-	ADJ
ejpam-6005	31	40	pharmaceutical	pharmaceutical	ADJ
ejpam-6005	31	41	interventions	intervention	NOUN
ejpam-6005	31	42	[	[	X
ejpam-6005	31	43	8	8	NUM
ejpam-6005	31	44	,	,	PUNCT
ejpam-6005	31	45	9	9	NUM
ejpam-6005	31	46	]	]	PUNCT
ejpam-6005	31	47	.	.	PUNCT
ejpam-6005	32	1	to	to	PART
ejpam-6005	32	2	reduce	reduce	VERB
ejpam-6005	32	3	the	the	DET
ejpam-6005	32	4	number	number	NOUN
ejpam-6005	32	5	of	of	ADP
ejpam-6005	32	6	cases	case	NOUN
ejpam-6005	32	7	,	,	PUNCT
ejpam-6005	32	8	other	other	ADJ
ejpam-6005	32	9	measures	measure	NOUN
ejpam-6005	32	10	included	include	VERB
ejpam-6005	32	11	screening	screen	VERB
ejpam-6005	32	12	exposed	expose	VERB
ejpam-6005	32	13	persons	person	NOUN
ejpam-6005	32	14	,	,	PUNCT
ejpam-6005	32	15	providing	provide	VERB
ejpam-6005	32	16	rapid	rapid	ADJ
ejpam-6005	32	17	immunization	immunization	NOUN
ejpam-6005	32	18	,	,	PUNCT
ejpam-6005	32	19	and	and	CCONJ
ejpam-6005	32	20	providing	provide	VERB
ejpam-6005	32	21	intense	intense	ADJ
ejpam-6005	32	22	medical	medical	ADJ
ejpam-6005	32	23	care	care	NOUN
ejpam-6005	32	24	[	[	X
ejpam-6005	32	25	10	10	NUM
ejpam-6005	32	26	,	,	PUNCT
ejpam-6005	32	27	11	11	NUM
ejpam-6005	32	28	]	]	PUNCT
ejpam-6005	32	29	.	.	PUNCT
ejpam-6005	33	1	in	in	ADP
ejpam-6005	33	2	many	many	ADJ
ejpam-6005	33	3	countries	country	NOUN
ejpam-6005	33	4	throughout	throughout	ADP
ejpam-6005	33	5	the	the	DET
ejpam-6005	33	6	world	world	NOUN
ejpam-6005	33	7	,	,	PUNCT
ejpam-6005	33	8	infection	infection	NOUN
ejpam-6005	33	9	controls	control	NOUN
ejpam-6005	33	10	and	and	CCONJ
ejpam-6005	33	11	preventive	preventive	ADJ
ejpam-6005	33	12	measures	measure	NOUN
ejpam-6005	33	13	were	be	AUX
ejpam-6005	33	14	in	in	ADP
ejpam-6005	33	15	place	place	NOUN
ejpam-6005	33	16	,	,	PUNCT
ejpam-6005	33	17	but	but	CCONJ
ejpam-6005	33	18	the	the	DET
ejpam-6005	33	19	disease	disease	NOUN
ejpam-6005	33	20	continued	continue	VERB
ejpam-6005	33	21	to	to	PART
ejpam-6005	33	22	spread	spread	VERB
ejpam-6005	33	23	.	.	PUNCT
ejpam-6005	34	1	it	it	PRON
ejpam-6005	34	2	started	start	VERB
ejpam-6005	34	3	with	with	ADP
ejpam-6005	34	4	alpha	alpha	NOUN
ejpam-6005	34	5	,	,	PUNCT
ejpam-6005	34	6	went	go	VERB
ejpam-6005	34	7	on	on	ADP
ejpam-6005	34	8	to	to	ADP
ejpam-6005	34	9	beta	beta	NOUN
ejpam-6005	34	10	and	and	CCONJ
ejpam-6005	34	11	delta	delta	NOUN
ejpam-6005	34	12	,	,	PUNCT
ejpam-6005	34	13	and	and	CCONJ
ejpam-6005	34	14	is	be	AUX
ejpam-6005	34	15	still	still	ADV
ejpam-6005	34	16	running	run	VERB
ejpam-6005	34	17	strong	strong	ADJ
ejpam-6005	34	18	with	with	ADP
ejpam-6005	34	19	the	the	DET
ejpam-6005	34	20	latest	late	ADJ
ejpam-6005	34	21	omicron	omicron	PROPN
ejpam-6005	34	22	version	version	NOUN
ejpam-6005	35	1	[	[	X
ejpam-6005	35	2	12	12	NUM
ejpam-6005	35	3	,	,	PUNCT
ejpam-6005	35	4	13	13	NUM
ejpam-6005	35	5	]	]	PUNCT
ejpam-6005	35	6	,	,	PUNCT
ejpam-6005	35	7	which	which	PRON
ejpam-6005	35	8	significantly	significantly	ADV
ejpam-6005	35	9	raises	raise	VERB
ejpam-6005	35	10	the	the	DET
ejpam-6005	35	11	number	number	NOUN
ejpam-6005	35	12	of	of	ADP
ejpam-6005	35	13	cases	case	NOUN
ejpam-6005	35	14	and	and	CCONJ
ejpam-6005	35	15	death	death	NOUN
ejpam-6005	35	16	rate	rate	NOUN
ejpam-6005	35	17	.	.	PUNCT
ejpam-6005	36	1	public	public	ADJ
ejpam-6005	36	2	health	health	NOUN
ejpam-6005	36	3	professionals	professional	NOUN
ejpam-6005	36	4	have	have	AUX
ejpam-6005	36	5	long	long	ADV
ejpam-6005	36	6	been	be	AUX
ejpam-6005	36	7	concerned	concerned	ADJ
ejpam-6005	36	8	about	about	ADP
ejpam-6005	36	9	the	the	DET
ejpam-6005	36	10	bacterial	bacterial	ADJ
ejpam-6005	36	11	influenza	influenza	NOUN
ejpam-6005	36	12	disease	disease	NOUN
ejpam-6005	36	13	often	often	ADV
ejpam-6005	36	14	known	know	VERB
ejpam-6005	36	15	as	as	ADP
ejpam-6005	36	16	the	the	DET
ejpam-6005	36	17	flu	flu	NOUN
ejpam-6005	36	18	.	.	PUNCT
ejpam-6005	37	1	seasonal	seasonal	ADJ
ejpam-6005	37	2	influenza	influenza	ADJ
ejpam-6005	37	3	outbreaks	outbreak	NOUN
ejpam-6005	37	4	affect	affect	VERB
ejpam-6005	37	5	millions	million	NOUN
ejpam-6005	37	6	of	of	ADP
ejpam-6005	37	7	people	people	NOUN
ejpam-6005	37	8	each	each	DET
ejpam-6005	37	9	year	year	NOUN
ejpam-6005	37	10	,	,	PUNCT
ejpam-6005	37	11	with	with	ADP
ejpam-6005	37	12	an	an	DET
ejpam-6005	37	13	estimated	estimate	VERB
ejpam-6005	37	14	500,000	500,000	NUM
ejpam-6005	37	15	deaths	death	NOUN
ejpam-6005	37	16	from	from	ADP
ejpam-6005	37	17	the	the	DET
ejpam-6005	37	18	illness	illness	NOUN
ejpam-6005	37	19	[	[	X
ejpam-6005	37	20	14	14	NUM
ejpam-6005	37	21	,	,	PUNCT
ejpam-6005	37	22	15	15	NUM
ejpam-6005	37	23	]	]	PUNCT
ejpam-6005	37	24	.	.	PUNCT
ejpam-6005	38	1	it	it	PRON
ejpam-6005	38	2	has	have	AUX
ejpam-6005	38	3	been	be	AUX
ejpam-6005	38	4	demonstrated	demonstrate	VERB
ejpam-6005	38	5	that	that	SCONJ
ejpam-6005	38	6	only	only	ADV
ejpam-6005	38	7	close	close	ADJ
ejpam-6005	38	8	interaction	interaction	NOUN
ejpam-6005	38	9	with	with	ADP
ejpam-6005	38	10	droplets	droplet	NOUN
ejpam-6005	38	11	and	and	CCONJ
ejpam-6005	38	12	interaction	interaction	NOUN
ejpam-6005	38	13	with	with	ADP
ejpam-6005	38	14	an	an	DET
ejpam-6005	38	15	infected	infected	ADJ
ejpam-6005	38	16	individual	individual	NOUN
ejpam-6005	38	17	can	can	AUX
ejpam-6005	38	18	carry	carry	VERB
ejpam-6005	38	19	influenza	influenza	NOUN
ejpam-6005	38	20	dynamics	dynamic	NOUN
ejpam-6005	38	21	,	,	PUNCT
ejpam-6005	38	22	despite	despite	SCONJ
ejpam-6005	38	23	mounting	mount	VERB
ejpam-6005	38	24	evidence	evidence	NOUN
ejpam-6005	38	25	suggesting	suggest	VERB
ejpam-6005	38	26	aerosols	aerosol	NOUN
ejpam-6005	38	27	play	play	VERB
ejpam-6005	38	28	a	a	DET
ejpam-6005	38	29	significant	significant	ADJ
ejpam-6005	38	30	role	role	NOUN
ejpam-6005	38	31	in	in	ADP
ejpam-6005	38	32	the	the	DET
ejpam-6005	38	33	spread	spread	NOUN
ejpam-6005	38	34	of	of	ADP
ejpam-6005	38	35	the	the	DET
ejpam-6005	38	36	illness	illness	NOUN
ejpam-6005	39	1	[	[	X
ejpam-6005	39	2	16	16	NUM
ejpam-6005	39	3	,	,	PUNCT
ejpam-6005	39	4	17	17	NUM
ejpam-6005	39	5	]	]	PUNCT
ejpam-6005	39	6	.	.	PUNCT
ejpam-6005	40	1	muscle	muscle	NOUN
ejpam-6005	40	2	aches	ache	VERB
ejpam-6005	40	3	,	,	PUNCT
ejpam-6005	40	4	loss	loss	NOUN
ejpam-6005	40	5	of	of	ADP
ejpam-6005	40	6	hunger	hunger	NOUN
ejpam-6005	40	7	,	,	PUNCT
ejpam-6005	40	8	temperature	temperature	NOUN
ejpam-6005	40	9	,	,	PUNCT
ejpam-6005	40	10	sore	sore	ADJ
ejpam-6005	40	11	head	head	NOUN
ejpam-6005	40	12	,	,	PUNCT
ejpam-6005	40	13	and	and	CCONJ
ejpam-6005	40	14	sore	sore	ADJ
ejpam-6005	40	15	throats	throat	NOUN
ejpam-6005	40	16	are	be	AUX
ejpam-6005	40	17	typical	typical	ADJ
ejpam-6005	40	18	symptoms	symptom	NOUN
ejpam-6005	40	19	.	.	PUNCT
ejpam-6005	41	1	the	the	DET
ejpam-6005	41	2	cyclical	cyclical	ADJ
ejpam-6005	41	3	nature	nature	NOUN
ejpam-6005	41	4	of	of	ADP
ejpam-6005	41	5	outbreaks	outbreak	NOUN
ejpam-6005	41	6	of	of	ADP
ejpam-6005	41	7	influenza	influenza	NOUN
ejpam-6005	41	8	and	and	CCONJ
ejpam-6005	41	9	the	the	DET
ejpam-6005	41	10	persistent	persistent	ADJ
ejpam-6005	41	11	frequency	frequency	NOUN
ejpam-6005	41	12	of	of	ADP
ejpam-6005	41	13	covid-19	covid-19	PROPN
ejpam-6005	41	14	may	may	AUX
ejpam-6005	41	15	cause	cause	VERB
ejpam-6005	41	16	influenza	influenza	NOUN
ejpam-6005	41	17	and	and	CCONJ
ejpam-6005	41	18	sars	sar	NOUN
ejpam-6005	41	19	-	-	PUNCT
ejpam-6005	41	20	cov2	cov2	PROPN
ejpam-6005	41	21	to	to	PART
ejpam-6005	41	22	revolve	revolve	VERB
ejpam-6005	41	23	,	,	PUNCT
ejpam-6005	41	24	greatly	greatly	ADV
ejpam-6005	41	25	increasing	increase	VERB
ejpam-6005	41	26	the	the	DET
ejpam-6005	41	27	likelihood	likelihood	NOUN
ejpam-6005	41	28	of	of	ADP
ejpam-6005	41	29	coinfection	coinfection	NOUN
ejpam-6005	41	30	.	.	PUNCT
ejpam-6005	42	1	the	the	DET
ejpam-6005	42	2	research	research	NOUN
ejpam-6005	42	3	that	that	PRON
ejpam-6005	42	4	is	be	AUX
ejpam-6005	42	5	currently	currently	ADV
ejpam-6005	42	6	applicable	applicable	ADJ
ejpam-6005	42	7	indicates	indicate	VERB
ejpam-6005	42	8	that	that	SCONJ
ejpam-6005	42	9	co	co	NOUN
ejpam-6005	42	10	-	-	NOUN
ejpam-6005	42	11	infection	infection	NOUN
ejpam-6005	42	12	with	with	ADP
ejpam-6005	42	13	the	the	DET
ejpam-6005	42	14	sars	sar	NOUN
ejpam-6005	42	15	-	-	PUNCT
ejpam-6005	42	16	cov2	cov2	PROPN
ejpam-6005	42	17	increases	increase	VERB
ejpam-6005	42	18	influenza	influenza	ADJ
ejpam-6005	42	19	infectivity	infectivity	NOUN
ejpam-6005	42	20	in	in	ADP
ejpam-6005	42	21	an	an	DET
ejpam-6005	42	22	extensive	extensive	ADJ
ejpam-6005	42	23	range	range	NOUN
ejpam-6005	42	24	of	of	ADP
ejpam-6005	42	25	cell	cell	NOUN
ejpam-6005	42	26	types	type	NOUN
ejpam-6005	42	27	[	[	X
ejpam-6005	42	28	18	18	NUM
ejpam-6005	42	29	]	]	PUNCT
ejpam-6005	42	30	and	and	CCONJ
ejpam-6005	42	31	that	that	SCONJ
ejpam-6005	42	32	people	people	NOUN
ejpam-6005	42	33	with	with	ADP
ejpam-6005	42	34	co	co	NOUN
ejpam-6005	42	35	-	-	NOUN
ejpam-6005	42	36	infection	infection	NOUN
ejpam-6005	42	37	seem	seem	VERB
ejpam-6005	42	38	to	to	PART
ejpam-6005	42	39	have	have	VERB
ejpam-6005	42	40	same	same	ADJ
ejpam-6005	42	41	clinical	clinical	ADJ
ejpam-6005	42	42	signs	sign	NOUN
ejpam-6005	42	43	and	and	CCONJ
ejpam-6005	42	44	imaging	imaging	NOUN
ejpam-6005	42	45	results	result	NOUN
ejpam-6005	42	46	compared	compare	VERB
ejpam-6005	42	47	with	with	ADP
ejpam-6005	42	48	individuals	individual	NOUN
ejpam-6005	42	49	infected	infect	VERB
ejpam-6005	42	50	with	with	ADP
ejpam-6005	42	51	sars	sar	NOUN
ejpam-6005	42	52	-	-	PUNCT
ejpam-6005	42	53	cov-2	cov-2	NOUN
ejpam-6005	43	1	only	only	ADV
ejpam-6005	43	2	[	[	X
ejpam-6005	43	3	19	19	NUM
ejpam-6005	43	4	]	]	PUNCT
ejpam-6005	43	5	.	.	PUNCT
ejpam-6005	44	1	however	however	ADV
ejpam-6005	44	2	,	,	PUNCT
ejpam-6005	44	3	there	there	PRON
ejpam-6005	44	4	is	be	VERB
ejpam-6005	44	5	limited	limited	ADJ
ejpam-6005	44	6	information	information	NOUN
ejpam-6005	44	7	available	available	ADJ
ejpam-6005	44	8	regarding	regard	VERB
ejpam-6005	44	9	the	the	DET
ejpam-6005	44	10	biological	biological	ADJ
ejpam-6005	44	11	and	and	CCONJ
ejpam-6005	44	12	medical	medical	ADJ
ejpam-6005	44	13	consequences	consequence	NOUN
ejpam-6005	44	14	of	of	ADP
ejpam-6005	44	15	co	co	NOUN
ejpam-6005	44	16	-	-	NOUN
ejpam-6005	44	17	infection	infection	NOUN
ejpam-6005	44	18	.	.	PUNCT
ejpam-6005	45	1	seasonal	seasonal	ADJ
ejpam-6005	45	2	influenza	influenza	NOUN
ejpam-6005	45	3	vaccination	vaccination	NOUN
ejpam-6005	45	4	is	be	AUX
ejpam-6005	45	5	considered	consider	VERB
ejpam-6005	45	6	to	to	PART
ejpam-6005	45	7	play	play	VERB
ejpam-6005	45	8	a	a	DET
ejpam-6005	45	9	major	major	ADJ
ejpam-6005	45	10	impact	impact	NOUN
ejpam-6005	45	11	in	in	ADP
ejpam-6005	45	12	influenza	influenza	NOUN
ejpam-6005	45	13	prevention	prevention	NOUN
ejpam-6005	45	14	as	as	ADV
ejpam-6005	45	15	well	well	ADV
ejpam-6005	45	16	as	as	ADP
ejpam-6005	45	17	offer	offer	VERB
ejpam-6005	45	18	extra	extra	ADJ
ejpam-6005	45	19	advantages	advantage	NOUN
ejpam-6005	45	20	during	during	ADP
ejpam-6005	45	21	the	the	DET
ejpam-6005	45	22	difficult	difficult	ADJ
ejpam-6005	45	23	covid-19	covid-19	PROPN
ejpam-6005	45	24	pandemic	pandemic	ADJ
ejpam-6005	45	25	period	period	NOUN
ejpam-6005	45	26	.	.	PUNCT
ejpam-6005	46	1	the	the	DET
ejpam-6005	46	2	influenza	influenza	NOUN
ejpam-6005	46	3	vaccine	vaccine	NOUN
ejpam-6005	46	4	considerably	considerably	ADV
ejpam-6005	46	5	reduces	reduce	VERB
ejpam-6005	46	6	the	the	DET
ejpam-6005	46	7	risk	risk	NOUN
ejpam-6005	46	8	of	of	ADP
ejpam-6005	46	9	respiratory	respiratory	ADJ
ejpam-6005	46	10	infectious	infectious	ADJ
ejpam-6005	46	11	disorders	disorder	NOUN
ejpam-6005	46	12	such	such	ADJ
ejpam-6005	46	13	as	as	ADP
ejpam-6005	46	14	covid-19	covid-19	PROPN
ejpam-6005	46	15	,	,	PUNCT
ejpam-6005	46	16	which	which	PRON
ejpam-6005	46	17	also	also	ADV
ejpam-6005	46	18	relieves	relieve	VERB
ejpam-6005	46	19	pressure	pressure	NOUN
ejpam-6005	46	20	on	on	ADP
ejpam-6005	46	21	medical	medical	ADJ
ejpam-6005	46	22	facilities	facility	NOUN
ejpam-6005	46	23	and	and	CCONJ
ejpam-6005	46	24	save	save	VERB
ejpam-6005	46	25	materials	material	NOUN
ejpam-6005	46	26	for	for	ADP
ejpam-6005	46	27	treating	treat	VERB
ejpam-6005	46	28	more	more	ADV
ejpam-6005	46	29	serious	serious	ADJ
ejpam-6005	46	30	infection	infection	NOUN
ejpam-6005	46	31	[	[	X
ejpam-6005	46	32	20	20	NUM
ejpam-6005	46	33	]	]	PUNCT
ejpam-6005	46	34	.	.	PUNCT
ejpam-6005	47	1	furthermore	furthermore	ADV
ejpam-6005	47	2	,	,	PUNCT
ejpam-6005	47	3	it	it	PRON
ejpam-6005	47	4	is	be	AUX
ejpam-6005	47	5	believed	believe	VERB
ejpam-6005	47	6	that	that	SCONJ
ejpam-6005	47	7	vaccination	vaccination	NOUN
ejpam-6005	47	8	against	against	ADP
ejpam-6005	47	9	influenza	influenza	NOUN
ejpam-6005	47	10	enhances	enhance	VERB
ejpam-6005	47	11	covid-19	covid-19	PROPN
ejpam-6005	47	12	surveillance	surveillance	NOUN
ejpam-6005	47	13	’s	’s	PART
ejpam-6005	47	14	specificity	specificity	NOUN
ejpam-6005	47	15	and	and	CCONJ
ejpam-6005	47	16	accuracy	accuracy	NOUN
ejpam-6005	48	1	[	[	X
ejpam-6005	48	2	21	21	NUM
ejpam-6005	48	3	]	]	PUNCT
ejpam-6005	48	4	.	.	PUNCT
ejpam-6005	49	1	the	the	DET
ejpam-6005	49	2	co	co	NOUN
ejpam-6005	49	3	-	-	NOUN
ejpam-6005	49	4	infection	infection	NOUN
ejpam-6005	49	5	of	of	ADP
ejpam-6005	49	6	covid-19	covid-19	PROPN
ejpam-6005	49	7	and	and	CCONJ
ejpam-6005	49	8	influenza	influenza	NOUN
ejpam-6005	49	9	virus	virus	NOUN
ejpam-6005	49	10	was	be	AUX
ejpam-6005	49	11	investigated	investigate	VERB
ejpam-6005	49	12	by	by	ADP
ejpam-6005	49	13	[	[	X
ejpam-6005	49	14	22	22	NUM
ejpam-6005	49	15	]	]	PUNCT
ejpam-6005	49	16	using	use	VERB
ejpam-6005	49	17	two	two	NUM
ejpam-6005	49	18	mathematical	mathematical	ADJ
ejpam-6005	49	19	models	model	NOUN
ejpam-6005	49	20	of	of	ADP
ejpam-6005	49	21	covid-19	covid-19	PROPN
ejpam-6005	49	22	and	and	CCONJ
ejpam-6005	49	23	the	the	DET
ejpam-6005	49	24	co	co	NOUN
ejpam-6005	49	25	-	-	ADJ
ejpam-6005	49	26	infection	infection	ADJ
ejpam-6005	49	27	idea	idea	NOUN
ejpam-6005	49	28	(	(	PUNCT
ejpam-6005	49	29	covid-19	covid-19	PROPN
ejpam-6005	49	30	and	and	CCONJ
ejpam-6005	49	31	influenza	influenza	NOUN
ejpam-6005	49	32	virus	virus	NOUN
ejpam-6005	49	33	)	)	PUNCT
ejpam-6005	49	34	.	.	PUNCT
ejpam-6005	50	1	a	a	DET
ejpam-6005	50	2	unique	unique	ADJ
ejpam-6005	50	3	characteristic	characteristic	NOUN
ejpam-6005	50	4	of	of	ADP
ejpam-6005	50	5	epidemic	epidemic	NOUN
ejpam-6005	50	6	models	model	NOUN
ejpam-6005	50	7	,	,	PUNCT
ejpam-6005	50	8	incidence	incidence	NOUN
ejpam-6005	50	9	rates	rate	NOUN
ejpam-6005	50	10	explain	explain	VERB
ejpam-6005	50	11	how	how	SCONJ
ejpam-6005	50	12	a	a	DET
ejpam-6005	50	13	disease	disease	NOUN
ejpam-6005	50	14	spreads	spread	VERB
ejpam-6005	50	15	within	within	ADP
ejpam-6005	50	16	a	a	DET
ejpam-6005	50	17	population	population	NOUN
ejpam-6005	50	18	or	or	CCONJ
ejpam-6005	50	19	among	among	ADP
ejpam-6005	50	20	a	a	DET
ejpam-6005	50	21	host	host	NOUN
ejpam-6005	50	22	.	.	PUNCT
ejpam-6005	51	1	there	there	PRON
ejpam-6005	51	2	are	be	VERB
ejpam-6005	51	3	many	many	ADJ
ejpam-6005	51	4	types	type	NOUN
ejpam-6005	51	5	of	of	ADP
ejpam-6005	51	6	interaction	interaction	NOUN
ejpam-6005	51	7	rates	rate	NOUN
ejpam-6005	51	8	of	of	ADP
ejpam-6005	51	9	infectious	infectious	ADJ
ejpam-6005	51	10	disease	disease	NOUN
ejpam-6005	51	11	in	in	ADP
ejpam-6005	51	12	mathematical	mathematical	ADJ
ejpam-6005	51	13	models	model	NOUN
ejpam-6005	51	14	,	,	PUNCT
ejpam-6005	51	15	including	include	VERB
ejpam-6005	51	16	concave	concave	PROPN
ejpam-6005	51	17	,	,	PUNCT
ejpam-6005	51	18	bilinear	bilinear	NOUN
ejpam-6005	51	19	,	,	PUNCT
ejpam-6005	51	20	square	square	ADJ
ejpam-6005	51	21	root	root	NOUN
ejpam-6005	51	22	,	,	PUNCT
ejpam-6005	51	23	monotonic	monotonic	ADJ
ejpam-6005	51	24	,	,	PUNCT
ejpam-6005	51	25	saturated	saturated	ADJ
ejpam-6005	51	26	and	and	CCONJ
ejpam-6005	51	27	linear	linear	NOUN
ejpam-6005	51	28	models	model	NOUN
ejpam-6005	51	29	,	,	PUNCT
ejpam-6005	51	30	r.	r.	PROPN
ejpam-6005	51	31	ud	ud	PROPN
ejpam-6005	51	32	din	din	PROPN
ejpam-6005	51	33	,	,	PUNCT
ejpam-6005	51	34	m.	m.	PROPN
ejpam-6005	51	35	s.	s.	PROPN
ejpam-6005	51	36	arif	arif	PROPN
ejpam-6005	51	37	/	/	SYM
ejpam-6005	51	38	eur	eur	PROPN
ejpam-6005	51	39	.	.	PUNCT
ejpam-6005	52	1	j.	j.	PROPN
ejpam-6005	52	2	pure	pure	PROPN
ejpam-6005	52	3	appl	appl	PROPN
ejpam-6005	52	4	.	.	PROPN
ejpam-6005	52	5	math	math	PROPN
ejpam-6005	52	6	,	,	PUNCT
ejpam-6005	52	7	18	18	NUM
ejpam-6005	52	8	(	(	PUNCT
ejpam-6005	52	9	2	2	NUM
ejpam-6005	52	10	)	)	PUNCT
ejpam-6005	52	11	(	(	PUNCT
ejpam-6005	52	12	2025	2025	NUM
ejpam-6005	52	13	)	)	PUNCT
ejpam-6005	52	14	,	,	PUNCT
ejpam-6005	52	15	6005	6005	NUM
ejpam-6005	52	16	3	3	NUM
ejpam-6005	52	17	of	of	ADP
ejpam-6005	52	18	27	27	NUM
ejpam-6005	52	19	the	the	DET
ejpam-6005	52	20	following	follow	VERB
ejpam-6005	52	21	is	be	AUX
ejpam-6005	52	22	used	use	VERB
ejpam-6005	52	23	in	in	ADP
ejpam-6005	52	24	our	our	PRON
ejpam-6005	52	25	work	work	NOUN
ejpam-6005	52	26	,	,	PUNCT
ejpam-6005	52	27	which	which	PRON
ejpam-6005	52	28	is	be	AUX
ejpam-6005	52	29	called	call	VERB
ejpam-6005	52	30	convex	convex	ADJ
ejpam-6005	52	31	incidence	incidence	NOUN
ejpam-6005	52	32	rate	rate	NOUN
ejpam-6005	52	33	.	.	PUNCT
ejpam-6005	53	1	follow	follow	VERB
ejpam-6005	53	2	as	as	ADP
ejpam-6005	53	3	,	,	PUNCT
ejpam-6005	53	4	f(s	f(s	PROPN
ejpam-6005	53	5	,	,	PUNCT
ejpam-6005	53	6	i	i	NOUN
ejpam-6005	53	7	)	)	PUNCT
ejpam-6005	53	8	=	=	PUNCT
ejpam-6005	54	1	ks(βs	ks(βs	PROPN
ejpam-6005	54	2	+	+	NOUN
ejpam-6005	54	3	1	1	NUM
ejpam-6005	54	4	)	)	PUNCT
ejpam-6005	54	5	.	.	PUNCT
ejpam-6005	55	1	here	here	ADV
ejpam-6005	55	2	,	,	PUNCT
ejpam-6005	55	3	β	β	X
ejpam-6005	55	4	>	>	X
ejpam-6005	55	5	0	0	PUNCT
ejpam-6005	56	1	and	and	CCONJ
ejpam-6005	56	2	k	k	X
ejpam-6005	56	3	>	>	X
ejpam-6005	56	4	0	0	NUM
ejpam-6005	56	5	are	be	AUX
ejpam-6005	56	6	belong	belong	ADJ
ejpam-6005	56	7	to	to	ADP
ejpam-6005	56	8	positive	positive	ADJ
ejpam-6005	56	9	real	real	ADJ
ejpam-6005	56	10	constant	constant	ADJ
ejpam-6005	56	11	.	.	PUNCT
ejpam-6005	57	1	s	s	AUX
ejpam-6005	57	2	stand	stand	VERB
ejpam-6005	57	3	for	for	ADP
ejpam-6005	57	4	susceptible	susceptible	ADJ
ejpam-6005	57	5	population	population	NOUN
ejpam-6005	57	6	and	and	CCONJ
ejpam-6005	57	7	infection	infection	NOUN
ejpam-6005	57	8	is	be	AUX
ejpam-6005	57	9	i	i	PRON
ejpam-6005	57	10	=	=	PUNCT
ejpam-6005	57	11	if	if	SCONJ
ejpam-6005	57	12	+	+	NOUN
ejpam-6005	57	13	ic	ic	X
ejpam-6005	57	14	.	.	PUNCT
ejpam-6005	58	1	hence	hence	ADV
ejpam-6005	58	2	if	if	SCONJ
ejpam-6005	58	3	is	be	AUX
ejpam-6005	58	4	represent	represent	VERB
ejpam-6005	58	5	the	the	DET
ejpam-6005	58	6	influenza	influenza	NOUN
ejpam-6005	58	7	infection	infection	NOUN
ejpam-6005	58	8	rate	rate	NOUN
ejpam-6005	58	9	and	and	CCONJ
ejpam-6005	58	10	ic	ic	PROPN
ejpam-6005	58	11	for	for	ADP
ejpam-6005	58	12	covid	covid	PROPN
ejpam-6005	58	13	infection	infection	NOUN
ejpam-6005	58	14	rate	rate	NOUN
ejpam-6005	58	15	.	.	PUNCT
ejpam-6005	59	1	due	due	ADP
ejpam-6005	59	2	to	to	ADP
ejpam-6005	59	3	the	the	DET
ejpam-6005	59	4	ksi2	ksi2	PROPN
ejpam-6005	59	5	term	term	NOUN
ejpam-6005	59	6	,	,	PUNCT
ejpam-6005	59	7	squaring	square	VERB
ejpam-6005	59	8	on	on	ADP
ejpam-6005	59	9	i	i	PRON
ejpam-6005	59	10	gives	give	VERB
ejpam-6005	59	11	a	a	DET
ejpam-6005	59	12	double	double	ADJ
ejpam-6005	59	13	rate	rate	NOUN
ejpam-6005	59	14	of	of	ADP
ejpam-6005	59	15	infection	infection	NOUN
ejpam-6005	59	16	;	;	PUNCT
ejpam-6005	59	17	furthermore	furthermore	ADV
ejpam-6005	59	18	,	,	PUNCT
ejpam-6005	59	19	the	the	DET
ejpam-6005	59	20	term	term	NOUN
ejpam-6005	59	21	ksi	ksi	PROPN
ejpam-6005	59	22	gives	give	VERB
ejpam-6005	59	23	a	a	DET
ejpam-6005	59	24	single	single	ADJ
ejpam-6005	59	25	infection	infection	NOUN
ejpam-6005	59	26	rate	rate	NOUN
ejpam-6005	59	27	.	.	PUNCT
ejpam-6005	60	1	this	this	DET
ejpam-6005	60	2	type	type	NOUN
ejpam-6005	60	3	of	of	ADP
ejpam-6005	60	4	interaction	interaction	NOUN
ejpam-6005	60	5	will	will	AUX
ejpam-6005	60	6	be	be	AUX
ejpam-6005	60	7	considered	consider	VERB
ejpam-6005	60	8	in	in	ADP
ejpam-6005	60	9	this	this	DET
ejpam-6005	60	10	research	research	NOUN
ejpam-6005	60	11	work	work	NOUN
ejpam-6005	60	12	.	.	PUNCT
ejpam-6005	61	1	for	for	ADP
ejpam-6005	61	2	numerical	numerical	PROPN
ejpam-6005	61	3	simulation	simulation	PROPN
ejpam-6005	61	4	,	,	PUNCT
ejpam-6005	61	5	the	the	DET
ejpam-6005	61	6	non	non	ADJ
ejpam-6005	61	7	-	-	ADJ
ejpam-6005	61	8	standard	standard	ADJ
ejpam-6005	61	9	finite	finite	ADJ
ejpam-6005	61	10	difference	difference	NOUN
ejpam-6005	61	11	(	(	PUNCT
ejpam-6005	61	12	nsfd	nsfd	ADJ
ejpam-6005	61	13	)	)	PUNCT
ejpam-6005	61	14	scheme	scheme	NOUN
ejpam-6005	61	15	is	be	AUX
ejpam-6005	61	16	used	use	VERB
ejpam-6005	61	17	for	for	ADP
ejpam-6005	61	18	deterministic	deterministic	ADJ
ejpam-6005	61	19	model	model	NOUN
ejpam-6005	61	20	.	.	PUNCT
ejpam-6005	62	1	numerous	numerous	ADJ
ejpam-6005	62	2	nonlinear	nonlinear	ADJ
ejpam-6005	62	3	problems	problem	NOUN
ejpam-6005	62	4	can	can	AUX
ejpam-6005	62	5	be	be	AUX
ejpam-6005	62	6	effectively	effectively	ADV
ejpam-6005	62	7	and	and	CCONJ
ejpam-6005	62	8	practically	practically	ADV
ejpam-6005	62	9	solved	solve	VERB
ejpam-6005	62	10	numerically	numerically	ADV
ejpam-6005	62	11	with	with	ADP
ejpam-6005	62	12	this	this	DET
ejpam-6005	62	13	method	method	NOUN
ejpam-6005	62	14	.	.	PUNCT
ejpam-6005	63	1	for	for	ADP
ejpam-6005	63	2	instance	instance	NOUN
ejpam-6005	63	3	,	,	PUNCT
ejpam-6005	63	4	many	many	ADJ
ejpam-6005	63	5	scholars	scholar	NOUN
ejpam-6005	63	6	have	have	AUX
ejpam-6005	63	7	used	use	VERB
ejpam-6005	63	8	this	this	DET
ejpam-6005	63	9	technique	technique	NOUN
ejpam-6005	63	10	to	to	PART
ejpam-6005	63	11	numerically	numerically	ADV
ejpam-6005	63	12	simulate	simulate	VERB
ejpam-6005	63	13	a	a	DET
ejpam-6005	63	14	variety	variety	NOUN
ejpam-6005	63	15	of	of	ADP
ejpam-6005	63	16	effusive	effusive	ADJ
ejpam-6005	63	17	systems	system	NOUN
ejpam-6005	63	18	[	[	X
ejpam-6005	63	19	23	23	NUM
ejpam-6005	63	20	,	,	PUNCT
ejpam-6005	63	21	24	24	NUM
ejpam-6005	63	22	]	]	PUNCT
ejpam-6005	63	23	.	.	PUNCT
ejpam-6005	64	1	however	however	ADV
ejpam-6005	64	2	,	,	PUNCT
ejpam-6005	64	3	[	[	X
ejpam-6005	64	4	25	25	NUM
ejpam-6005	64	5	]	]	PUNCT
ejpam-6005	64	6	discussed	discuss	VERB
ejpam-6005	64	7	covid-19	covid-19	PROPN
ejpam-6005	64	8	dynamics	dynamic	NOUN
ejpam-6005	64	9	using	use	VERB
ejpam-6005	64	10	fractional	fractional	PROPN
ejpam-6005	64	11	numerical	numerical	PROPN
ejpam-6005	64	12	simulation	simulation	PROPN
ejpam-6005	64	13	.	.	PUNCT
ejpam-6005	65	1	one	one	NUM
ejpam-6005	65	2	of	of	ADP
ejpam-6005	65	3	the	the	DET
ejpam-6005	65	4	best	good	ADJ
ejpam-6005	65	5	methods	method	NOUN
ejpam-6005	65	6	for	for	ADP
ejpam-6005	65	7	estimating	estimate	VERB
ejpam-6005	65	8	solutions	solution	NOUN
ejpam-6005	65	9	to	to	ADP
ejpam-6005	65	10	fractional	fractional	ADJ
ejpam-6005	65	11	-	-	PUNCT
ejpam-6005	65	12	order	order	NOUN
ejpam-6005	65	13	models	model	NOUN
ejpam-6005	65	14	among	among	ADP
ejpam-6005	65	15	those	those	PRON
ejpam-6005	65	16	discussed	discuss	VERB
ejpam-6005	65	17	is	be	AUX
ejpam-6005	65	18	the	the	DET
ejpam-6005	65	19	nsfd	nsfd	ADJ
ejpam-6005	65	20	method	method	NOUN
ejpam-6005	65	21	;	;	PUNCT
ejpam-6005	65	22	for	for	ADP
ejpam-6005	65	23	further	further	ADJ
ejpam-6005	65	24	details	detail	NOUN
ejpam-6005	65	25	,	,	PUNCT
ejpam-6005	65	26	see	see	VERB
ejpam-6005	65	27	[	[	X
ejpam-6005	65	28	26	26	NUM
ejpam-6005	65	29	,	,	PUNCT
ejpam-6005	65	30	27	27	NUM
ejpam-6005	65	31	]	]	PUNCT
ejpam-6005	65	32	.	.	PUNCT
ejpam-6005	66	1	this	this	DET
ejpam-6005	66	2	study	study	NOUN
ejpam-6005	66	3	introduces	introduce	VERB
ejpam-6005	66	4	a	a	DET
ejpam-6005	66	5	new	new	ADJ
ejpam-6005	66	6	vaccination	vaccination	NOUN
ejpam-6005	66	7	-	-	PUNCT
ejpam-6005	66	8	based	base	VERB
ejpam-6005	66	9	deterministic	deterministic	ADJ
ejpam-6005	66	10	co	co	NOUN
ejpam-6005	66	11	-	-	ADJ
ejpam-6005	66	12	infection	infection	ADJ
ejpam-6005	66	13	approach	approach	NOUN
ejpam-6005	66	14	for	for	ADP
ejpam-6005	66	15	covid-19	covid-19	PROPN
ejpam-6005	66	16	and	and	CCONJ
ejpam-6005	66	17	influenza	influenza	NOUN
ejpam-6005	66	18	.	.	PUNCT
ejpam-6005	67	1	the	the	DET
ejpam-6005	67	2	purpose	purpose	NOUN
ejpam-6005	67	3	of	of	ADP
ejpam-6005	67	4	this	this	DET
ejpam-6005	67	5	study	study	NOUN
ejpam-6005	67	6	is	be	AUX
ejpam-6005	67	7	to	to	PART
ejpam-6005	67	8	examine	examine	VERB
ejpam-6005	67	9	the	the	DET
ejpam-6005	67	10	dynamic	dynamic	ADJ
ejpam-6005	67	11	and	and	CCONJ
ejpam-6005	67	12	stabilization	stabilization	NOUN
ejpam-6005	67	13	characteristics	characteristic	NOUN
ejpam-6005	67	14	of	of	ADP
ejpam-6005	67	15	the	the	DET
ejpam-6005	67	16	model	model	NOUN
ejpam-6005	67	17	equations	equation	NOUN
ejpam-6005	67	18	as	as	ADV
ejpam-6005	67	19	well	well	ADV
ejpam-6005	67	20	as	as	ADP
ejpam-6005	67	21	the	the	DET
ejpam-6005	67	22	connection	connection	NOUN
ejpam-6005	67	23	between	between	ADP
ejpam-6005	67	24	influenza	influenza	NOUN
ejpam-6005	67	25	prevalence	prevalence	NOUN
ejpam-6005	67	26	and	and	CCONJ
ejpam-6005	67	27	the	the	DET
ejpam-6005	67	28	covid-19	covid-19	PROPN
ejpam-6005	67	29	vaccine	vaccine	NOUN
ejpam-6005	67	30	.	.	PUNCT
ejpam-6005	68	1	to	to	PART
ejpam-6005	68	2	discuss	discuss	VERB
ejpam-6005	68	3	the	the	DET
ejpam-6005	68	4	dynamics	dynamic	NOUN
ejpam-6005	68	5	of	of	ADP
ejpam-6005	68	6	co	co	NOUN
ejpam-6005	68	7	-	-	NOUN
ejpam-6005	68	8	infection	infection	NOUN
ejpam-6005	68	9	under	under	ADP
ejpam-6005	68	10	convex	convex	ADJ
ejpam-6005	68	11	incidence	incidence	NOUN
ejpam-6005	68	12	rate	rate	NOUN
ejpam-6005	68	13	,	,	PUNCT
ejpam-6005	68	14	we	we	PRON
ejpam-6005	68	15	examine	examine	VERB
ejpam-6005	68	16	a	a	DET
ejpam-6005	68	17	mathematical	mathematical	ADJ
ejpam-6005	68	18	seicifvrc	seicifvrc	NOUN
ejpam-6005	68	19	model	model	NOUN
ejpam-6005	68	20	.	.	PUNCT
ejpam-6005	69	1	s	s	PART
ejpam-6005	69	2	stands	stand	VERB
ejpam-6005	69	3	for	for	ADP
ejpam-6005	69	4	susceptible	susceptible	ADJ
ejpam-6005	69	5	,	,	PUNCT
ejpam-6005	69	6	e	e	NOUN
ejpam-6005	69	7	for	for	ADP
ejpam-6005	69	8	exposed	expose	VERB
ejpam-6005	69	9	,	,	PUNCT
ejpam-6005	69	10	if	if	SCONJ
ejpam-6005	69	11	for	for	ADP
ejpam-6005	69	12	influenza	influenza	NOUN
ejpam-6005	69	13	infected	infect	VERB
ejpam-6005	69	14	,	,	PUNCT
ejpam-6005	69	15	ic	ic	PROPN
ejpam-6005	69	16	for	for	ADP
ejpam-6005	69	17	covid	covid	PROPN
ejpam-6005	69	18	infected	infected	PROPN
ejpam-6005	69	19	,	,	PUNCT
ejpam-6005	69	20	v	v	NOUN
ejpam-6005	69	21	for	for	ADP
ejpam-6005	69	22	vaccinated	vaccinated	ADJ
ejpam-6005	69	23	,	,	PUNCT
ejpam-6005	69	24	and	and	CCONJ
ejpam-6005	69	25	r	r	NOUN
ejpam-6005	69	26	for	for	ADP
ejpam-6005	69	27	recovered	recovered	ADJ
ejpam-6005	69	28	,	,	PUNCT
ejpam-6005	69	29	and	and	CCONJ
ejpam-6005	69	30	c	c	NOUN
ejpam-6005	69	31	for	for	ADP
ejpam-6005	69	32	combined	combined	ADJ
ejpam-6005	69	33	infection	infection	NOUN
ejpam-6005	69	34	compartment	compartment	NOUN
ejpam-6005	69	35	individual	individual	NOUN
ejpam-6005	69	36	.	.	PUNCT
ejpam-6005	70	1	these	these	DET
ejpam-6005	70	2	seven	seven	NUM
ejpam-6005	70	3	equations	equation	NOUN
ejpam-6005	70	4	comprised	comprise	VERB
ejpam-6005	70	5	the	the	DET
ejpam-6005	70	6	model	model	NOUN
ejpam-6005	70	7	.	.	PUNCT
ejpam-6005	71	1	to	to	PART
ejpam-6005	71	2	determine	determine	VERB
ejpam-6005	71	3	the	the	DET
ejpam-6005	71	4	most	most	ADV
ejpam-6005	71	5	vulnerable	vulnerable	ADJ
ejpam-6005	71	6	variables	variable	NOUN
ejpam-6005	71	7	that	that	PRON
ejpam-6005	71	8	raise	raise	VERB
ejpam-6005	71	9	or	or	CCONJ
ejpam-6005	71	10	lower	lower	VERB
ejpam-6005	71	11	the	the	DET
ejpam-6005	71	12	fundamental	fundamental	ADJ
ejpam-6005	71	13	reproduction	reproduction	NOUN
ejpam-6005	71	14	number	number	NOUN
ejpam-6005	71	15	r0	r0	NOUN
ejpam-6005	71	16	,	,	PUNCT
ejpam-6005	71	17	sensitivity	sensitivity	NOUN
ejpam-6005	71	18	analysis	analysis	NOUN
ejpam-6005	71	19	is	be	AUX
ejpam-6005	71	20	performed	perform	VERB
ejpam-6005	71	21	.	.	PUNCT
ejpam-6005	72	1	the	the	DET
ejpam-6005	72	2	organization	organization	NOUN
ejpam-6005	72	3	of	of	ADP
ejpam-6005	72	4	the	the	DET
ejpam-6005	72	5	work	work	NOUN
ejpam-6005	72	6	is	be	AUX
ejpam-6005	72	7	as	as	SCONJ
ejpam-6005	72	8	follows	follow	VERB
ejpam-6005	72	9	:	:	PUNCT
ejpam-6005	72	10	model	model	NOUN
ejpam-6005	72	11	formulation	formulation	NOUN
ejpam-6005	72	12	is	be	AUX
ejpam-6005	72	13	discussed	discuss	VERB
ejpam-6005	72	14	in	in	ADP
ejpam-6005	72	15	section	section	NOUN
ejpam-6005	72	16	2	2	NUM
ejpam-6005	72	17	.	.	PUNCT
ejpam-6005	72	18	mathematical	mathematical	ADJ
ejpam-6005	72	19	results	result	NOUN
ejpam-6005	72	20	,	,	PUNCT
ejpam-6005	72	21	local	local	ADJ
ejpam-6005	72	22	and	and	CCONJ
ejpam-6005	72	23	global	global	ADJ
ejpam-6005	72	24	stability	stability	NOUN
ejpam-6005	72	25	are	be	AUX
ejpam-6005	72	26	discussed	discuss	VERB
ejpam-6005	72	27	in	in	ADP
ejpam-6005	72	28	section	section	NOUN
ejpam-6005	72	29	3	3	NUM
ejpam-6005	72	30	.	.	PUNCT
ejpam-6005	72	31	numerical	numerical	PROPN
ejpam-6005	72	32	simulation	simulation	PROPN
ejpam-6005	72	33	through	through	ADP
ejpam-6005	72	34	the	the	DET
ejpam-6005	72	35	nsfd	nsfd	ADJ
ejpam-6005	72	36	scheme	scheme	NOUN
ejpam-6005	72	37	and	and	CCONJ
ejpam-6005	72	38	the	the	DET
ejpam-6005	72	39	stochastic	stochastic	ADJ
ejpam-6005	72	40	model	model	NOUN
ejpam-6005	72	41	are	be	AUX
ejpam-6005	72	42	in	in	ADP
ejpam-6005	72	43	section	section	NOUN
ejpam-6005	72	44	4	4	NUM
ejpam-6005	72	45	,	,	PUNCT
ejpam-6005	72	46	and	and	CCONJ
ejpam-6005	72	47	the	the	DET
ejpam-6005	72	48	last	last	ADJ
ejpam-6005	72	49	section	section	NOUN
ejpam-6005	72	50	is	be	AUX
ejpam-6005	72	51	a	a	DET
ejpam-6005	72	52	summarization	summarization	NOUN
ejpam-6005	72	53	of	of	ADP
ejpam-6005	72	54	the	the	DET
ejpam-6005	72	55	results	result	NOUN
ejpam-6005	72	56	.	.	PUNCT
ejpam-6005	73	1	2	2	X
ejpam-6005	73	2	.	.	X
ejpam-6005	73	3	model	model	NOUN
ejpam-6005	73	4	formulation	formulation	NOUN
ejpam-6005	73	5	in	in	ADP
ejpam-6005	73	6	this	this	DET
ejpam-6005	73	7	section	section	NOUN
ejpam-6005	73	8	,	,	PUNCT
ejpam-6005	73	9	we	we	PRON
ejpam-6005	73	10	present	present	VERB
ejpam-6005	73	11	the	the	DET
ejpam-6005	73	12	dynamic	dynamic	NOUN
ejpam-6005	73	13	of	of	ADP
ejpam-6005	73	14	the	the	DET
ejpam-6005	73	15	co	co	NOUN
ejpam-6005	73	16	-	-	NOUN
ejpam-6005	73	17	infection	infection	NOUN
ejpam-6005	73	18	of	of	ADP
ejpam-6005	73	19	influenza	influenza	NOUN
ejpam-6005	73	20	and	and	CCONJ
ejpam-6005	73	21	covid-19	covid-19	PROPN
ejpam-6005	73	22	in	in	ADP
ejpam-6005	73	23	the	the	DET
ejpam-6005	73	24	following	follow	VERB
ejpam-6005	73	25	model	model	NOUN
ejpam-6005	73	26	form	form	NOUN
ejpam-6005	73	27	.	.	PUNCT
ejpam-6005	74	1	basically	basically	ADV
ejpam-6005	74	2	the	the	DET
ejpam-6005	74	3	infection	infection	NOUN
ejpam-6005	74	4	is	be	AUX
ejpam-6005	74	5	divided	divide	VERB
ejpam-6005	74	6	into	into	ADP
ejpam-6005	74	7	two	two	NUM
ejpam-6005	74	8	way	way	NOUN
ejpam-6005	74	9	influenza	influenza	NOUN
ejpam-6005	74	10	if	if	SCONJ
ejpam-6005	74	11	and	and	CCONJ
ejpam-6005	74	12	covid	covid	PROPN
ejpam-6005	74	13	ic	ic	PROPN
ejpam-6005	74	14	,	,	PUNCT
ejpam-6005	74	15	the	the	DET
ejpam-6005	74	16	whole	whole	ADJ
ejpam-6005	74	17	population	population	NOUN
ejpam-6005	74	18	is	be	AUX
ejpam-6005	74	19	represent	represent	ADJ
ejpam-6005	74	20	by	by	ADP
ejpam-6005	74	21	m	m	PRON
ejpam-6005	74	22	which	which	PRON
ejpam-6005	74	23	is	be	AUX
ejpam-6005	74	24	equal	equal	ADJ
ejpam-6005	74	25	to	to	ADP
ejpam-6005	74	26	the	the	DET
ejpam-6005	74	27	sum	sum	NOUN
ejpam-6005	74	28	of	of	ADP
ejpam-6005	74	29	all	all	DET
ejpam-6005	74	30	compartments	compartment	NOUN
ejpam-6005	74	31	,	,	PUNCT
ejpam-6005	75	1	m	m	VERB
ejpam-6005	75	2	=	=	SYM
ejpam-6005	75	3	s	s	PART
ejpam-6005	75	4	+	+	NUM
ejpam-6005	75	5	e	e	NOUN
ejpam-6005	75	6	+	+	NOUN
ejpam-6005	75	7	if	if	SCONJ
ejpam-6005	75	8	+	+	NUM
ejpam-6005	75	9	ic	ic	PROPN
ejpam-6005	76	1	+	+	NUM
ejpam-6005	76	2	c	c	PROPN
ejpam-6005	76	3	+	+	SYM
ejpam-6005	76	4	v	v	PROPN
ejpam-6005	76	5	+	+	X
ejpam-6005	76	6	r.	r.	NOUN
ejpam-6005	76	7	we	we	PRON
ejpam-6005	76	8	formulate	formulate	VERB
ejpam-6005	76	9	the	the	DET
ejpam-6005	76	10	model	model	NOUN
ejpam-6005	76	11	using	use	VERB
ejpam-6005	76	12	the	the	DET
ejpam-6005	76	13	r.	r.	PROPN
ejpam-6005	76	14	ud	ud	PROPN
ejpam-6005	76	15	din	din	PROPN
ejpam-6005	76	16	,	,	PUNCT
ejpam-6005	76	17	m.	m.	PROPN
ejpam-6005	76	18	s.	s.	PROPN
ejpam-6005	76	19	arif	arif	PROPN
ejpam-6005	76	20	/	/	SYM
ejpam-6005	76	21	eur	eur	PROPN
ejpam-6005	76	22	.	.	PUNCT
ejpam-6005	77	1	j.	j.	PROPN
ejpam-6005	77	2	pure	pure	PROPN
ejpam-6005	77	3	appl	appl	PROPN
ejpam-6005	77	4	.	.	PROPN
ejpam-6005	77	5	math	math	PROPN
ejpam-6005	77	6	,	,	PUNCT
ejpam-6005	77	7	18	18	NUM
ejpam-6005	77	8	(	(	PUNCT
ejpam-6005	77	9	2	2	NUM
ejpam-6005	77	10	)	)	PUNCT
ejpam-6005	77	11	(	(	PUNCT
ejpam-6005	77	12	2025	2025	NUM
ejpam-6005	77	13	)	)	PUNCT
ejpam-6005	77	14	,	,	PUNCT
ejpam-6005	77	15	6005	6005	NUM
ejpam-6005	77	16	4	4	NUM
ejpam-6005	77	17	of	of	ADP
ejpam-6005	77	18	27	27	NUM
ejpam-6005	77	19	following	follow	VERB
ejpam-6005	77	20	equations	equation	NOUN
ejpam-6005	77	21	:	:	PUNCT
ejpam-6005	77	22	ds	ds	ADJ
ejpam-6005	77	23	dt	dt	NOUN
ejpam-6005	77	24	=	=	SYM
ejpam-6005	77	25	b−ksi(βi	b−ksi(βi	NOUN
ejpam-6005	77	26	+	+	PROPN
ejpam-6005	78	1	1)−	1)−	NUM
ejpam-6005	78	2	d0s	d0	NOUN
ejpam-6005	78	3	+	+	CCONJ
ejpam-6005	78	4	rr	rr	X
ejpam-6005	78	5	,	,	PUNCT
ejpam-6005	78	6	de	de	X
ejpam-6005	78	7	dt	dt	X
ejpam-6005	78	8	=	=	SYM
ejpam-6005	78	9	ksi(βi	ksi(βi	NOUN
ejpam-6005	78	10	+	+	X
ejpam-6005	78	11	1)−	1)−	NUM
ejpam-6005	78	12	(	(	PUNCT
ejpam-6005	78	13	d0	d0	NOUN
ejpam-6005	78	14	+	+	CCONJ
ejpam-6005	78	15	η	η	PROPN
ejpam-6005	78	16	+	+	PROPN
ejpam-6005	78	17	ϕ)e	ϕ)e	NOUN
ejpam-6005	78	18	,	,	PUNCT
ejpam-6005	78	19	dif	dif	ADV
ejpam-6005	78	20	dt	dt	PUNCT
ejpam-6005	78	21	=	=	VERB
ejpam-6005	78	22	ϕe	ϕe	INTJ
ejpam-6005	78	23	−	−	PROPN
ejpam-6005	78	24	(	(	PUNCT
ejpam-6005	78	25	γ1	γ1	PROPN
ejpam-6005	78	26	+	+	CCONJ
ejpam-6005	78	27	vf	vf	X
ejpam-6005	78	28	+	+	NUM
ejpam-6005	78	29	d0	d0	NOUN
ejpam-6005	78	30	+	+	CCONJ
ejpam-6005	78	31	c1)if	c1)if	NOUN
ejpam-6005	78	32	,	,	PUNCT
ejpam-6005	78	33	dic	dic	ADJ
ejpam-6005	78	34	dt	dt	X
ejpam-6005	78	35	=	=	PROPN
ejpam-6005	78	36	ηe	ηe	ADP
ejpam-6005	78	37	−	−	PROPN
ejpam-6005	78	38	(	(	PUNCT
ejpam-6005	78	39	γ2	γ2	PROPN
ejpam-6005	78	40	+	+	CCONJ
ejpam-6005	78	41	vc	vc	PROPN
ejpam-6005	78	42	+	+	CCONJ
ejpam-6005	78	43	d0	d0	PROPN
ejpam-6005	78	44	+	+	CCONJ
ejpam-6005	78	45	c2)ic	c2)ic	PROPN
ejpam-6005	78	46	,	,	PUNCT
ejpam-6005	78	47	dc	dc	PROPN
ejpam-6005	78	48	dt	dt	NOUN
ejpam-6005	78	49	=	=	PUNCT
ejpam-6005	78	50	c1if	c1if	PUNCT
ejpam-6005	78	51	+	+	CCONJ
ejpam-6005	78	52	c2ic	c2ic	X
ejpam-6005	78	53	−	−	PROPN
ejpam-6005	78	54	(	(	PUNCT
ejpam-6005	78	55	d0	d0	NOUN
ejpam-6005	78	56	+	+	CCONJ
ejpam-6005	78	57	v3)c	v3)c	NOUN
ejpam-6005	78	58	,	,	PUNCT
ejpam-6005	78	59	dv	dv	PROPN
ejpam-6005	78	60	dt	dt	X
ejpam-6005	79	1	=	=	PROPN
ejpam-6005	79	2	vfif	vfif	PROPN
ejpam-6005	79	3	+	+	CCONJ
ejpam-6005	79	4	vcic	vcic	NOUN
ejpam-6005	79	5	+	+	CCONJ
ejpam-6005	79	6	v3c	v3c	X
ejpam-6005	79	7	−	−	PROPN
ejpam-6005	79	8	(	(	PUNCT
ejpam-6005	79	9	γ3	γ3	NOUN
ejpam-6005	79	10	+	+	CCONJ
ejpam-6005	79	11	d0)v	d0)v	PROPN
ejpam-6005	79	12	,	,	PUNCT
ejpam-6005	79	13	dr	dr	PROPN
ejpam-6005	79	14	dt	dt	NOUN
ejpam-6005	79	15	=	=	PUNCT
ejpam-6005	79	16	γ1if	γ1if	PUNCT
ejpam-6005	80	1	+	+	CCONJ
ejpam-6005	80	2	γ2ic	γ2ic	PUNCT
ejpam-6005	81	1	+	+	CCONJ
ejpam-6005	81	2	γ3v	γ3v	PROPN
ejpam-6005	81	3	−	−	PROPN
ejpam-6005	81	4	(	(	PUNCT
ejpam-6005	81	5	r	r	NOUN
ejpam-6005	81	6	+	+	CCONJ
ejpam-6005	81	7	d0)r	d0)r	NOUN
ejpam-6005	81	8	.	.	PUNCT
ejpam-6005	82	1	(	(	PUNCT
ejpam-6005	82	2	1	1	X
ejpam-6005	82	3	)	)	PUNCT
ejpam-6005	82	4	here	here	ADV
ejpam-6005	82	5	is	be	AUX
ejpam-6005	82	6	the	the	DET
ejpam-6005	82	7	model	model	NOUN
ejpam-6005	82	8	flow	flow	NOUN
ejpam-6005	82	9	chart	chart	NOUN
ejpam-6005	82	10	which	which	PRON
ejpam-6005	82	11	shows	show	VERB
ejpam-6005	82	12	the	the	DET
ejpam-6005	82	13	dynamics	dynamic	NOUN
ejpam-6005	82	14	of	of	ADP
ejpam-6005	82	15	the	the	DET
ejpam-6005	82	16	flow	flow	NOUN
ejpam-6005	82	17	with	with	ADP
ejpam-6005	82	18	respect	respect	NOUN
ejpam-6005	82	19	to	to	ADP
ejpam-6005	82	20	time	time	NOUN
ejpam-6005	82	21	of	of	ADP
ejpam-6005	82	22	different	different	ADJ
ejpam-6005	82	23	classes	class	NOUN
ejpam-6005	82	24	of	of	ADP
ejpam-6005	82	25	the	the	DET
ejpam-6005	82	26	co	co	NOUN
ejpam-6005	82	27	-	-	NOUN
ejpam-6005	82	28	infection	infection	NOUN
ejpam-6005	82	29	.	.	PUNCT
ejpam-6005	83	1	the	the	DET
ejpam-6005	83	2	variables	variable	NOUN
ejpam-6005	83	3	used	use	VERB
ejpam-6005	83	4	in	in	ADP
ejpam-6005	83	5	the	the	DET
ejpam-6005	83	6	system	system	NOUN
ejpam-6005	83	7	(	(	PUNCT
ejpam-6005	83	8	1	1	NUM
ejpam-6005	83	9	)	)	PUNCT
ejpam-6005	83	10	with	with	ADP
ejpam-6005	83	11	their	their	PRON
ejpam-6005	83	12	physical	physical	ADJ
ejpam-6005	83	13	meaning	meaning	NOUN
ejpam-6005	83	14	are	be	AUX
ejpam-6005	83	15	,	,	PUNCT
ejpam-6005	83	16	new	new	ADJ
ejpam-6005	83	17	recruitment	recruitment	NOUN
ejpam-6005	83	18	1	1	NUM
ejpam-6005	83	19	.	.	PUNCT
ejpam-6005	84	1	flow	flow	NOUN
ejpam-6005	84	2	chart	chart	NOUN
ejpam-6005	84	3	s	s	PART
ejpam-6005	84	4	e	e	NOUN
ejpam-6005	84	5	r	r	NOUN
ejpam-6005	84	6	v	v	NOUN
ejpam-6005	84	7	if	if	SCONJ
ejpam-6005	84	8	ic	ic	PROPN
ejpam-6005	84	9	c	c	NOUN
ejpam-6005	84	10	b	b	PROPN
ejpam-6005	84	11	figure	figure	NOUN
ejpam-6005	84	12	1	1	NUM
ejpam-6005	84	13	:	:	PUNCT
ejpam-6005	84	14	flow	flow	VERB
ejpam-6005	84	15	chart	chart	NOUN
ejpam-6005	84	16	of	of	ADP
ejpam-6005	84	17	parameters	parameter	NOUN
ejpam-6005	84	18	of	of	ADP
ejpam-6005	84	19	the	the	DET
ejpam-6005	84	20	model	model	NOUN
ejpam-6005	84	21	(	(	PUNCT
ejpam-6005	84	22	1	1	NUM
ejpam-6005	84	23	)	)	PUNCT
ejpam-6005	84	24	.	.	PUNCT
ejpam-6005	85	1	represent	represent	VERB
ejpam-6005	85	2	by	by	ADP
ejpam-6005	85	3	b	b	PROPN
ejpam-6005	85	4	,	,	PUNCT
ejpam-6005	85	5	death	death	NOUN
ejpam-6005	85	6	rate	rate	NOUN
ejpam-6005	85	7	is	be	AUX
ejpam-6005	85	8	represented	represent	VERB
ejpam-6005	85	9	by	by	ADP
ejpam-6005	85	10	d0	d0	NOUN
ejpam-6005	85	11	,	,	PUNCT
ejpam-6005	85	12	the	the	DET
ejpam-6005	85	13	co	co	NOUN
ejpam-6005	85	14	-	-	NOUN
ejpam-6005	85	15	infection	infection	ADJ
ejpam-6005	85	16	rate	rate	NOUN
ejpam-6005	85	17	from	from	ADP
ejpam-6005	85	18	influenza	influenza	NOUN
ejpam-6005	85	19	is	be	AUX
ejpam-6005	85	20	c1	c1	PROPN
ejpam-6005	85	21	and	and	CCONJ
ejpam-6005	85	22	covid	covid	PROPN
ejpam-6005	85	23	is	be	AUX
ejpam-6005	85	24	c2	c2	PROPN
ejpam-6005	85	25	.	.	PUNCT
ejpam-6005	86	1	vf	vf	PROPN
ejpam-6005	86	2	is	be	AUX
ejpam-6005	86	3	vaccination	vaccination	NOUN
ejpam-6005	86	4	rate	rate	NOUN
ejpam-6005	86	5	of	of	ADP
ejpam-6005	86	6	influenza	influenza	NOUN
ejpam-6005	86	7	,	,	PUNCT
ejpam-6005	86	8	and	and	CCONJ
ejpam-6005	86	9	vc	vc	PROPN
ejpam-6005	86	10	is	be	AUX
ejpam-6005	86	11	vaccination	vaccination	NOUN
ejpam-6005	86	12	rate	rate	NOUN
ejpam-6005	86	13	of	of	ADP
ejpam-6005	86	14	covid-19	covid-19	PROPN
ejpam-6005	86	15	.	.	PUNCT
ejpam-6005	87	1	the	the	DET
ejpam-6005	87	2	recovery	recovery	NOUN
ejpam-6005	87	3	rate	rate	NOUN
ejpam-6005	87	4	from	from	ADP
ejpam-6005	87	5	influenza	influenza	NOUN
ejpam-6005	87	6	is	be	AUX
ejpam-6005	87	7	represented	represent	VERB
ejpam-6005	87	8	by	by	ADP
ejpam-6005	87	9	γ1	γ1	PROPN
ejpam-6005	87	10	,	,	PUNCT
ejpam-6005	87	11	the	the	DET
ejpam-6005	87	12	recovery	recovery	NOUN
ejpam-6005	87	13	rate	rate	NOUN
ejpam-6005	87	14	from	from	ADP
ejpam-6005	87	15	covid	covid	PROPN
ejpam-6005	87	16	is	be	AUX
ejpam-6005	87	17	by	by	ADP
ejpam-6005	87	18	γ2	γ2	NOUN
ejpam-6005	87	19	and	and	CCONJ
ejpam-6005	87	20	recovery	recovery	NOUN
ejpam-6005	87	21	from	from	ADP
ejpam-6005	87	22	vaccination	vaccination	NOUN
ejpam-6005	87	23	is	be	AUX
ejpam-6005	87	24	represented	represent	VERB
ejpam-6005	87	25	by	by	ADP
ejpam-6005	87	26	γ3	γ3	NOUN
ejpam-6005	87	27	.	.	PUNCT
ejpam-6005	88	1	k	k	PROPN
ejpam-6005	88	2	stands	stand	VERB
ejpam-6005	88	3	for	for	ADP
ejpam-6005	88	4	infection	infection	NOUN
ejpam-6005	88	5	constant	constant	ADJ
ejpam-6005	88	6	,	,	PUNCT
ejpam-6005	88	7	the	the	DET
ejpam-6005	88	8	influenza	influenza	NOUN
ejpam-6005	88	9	infection	infection	NOUN
ejpam-6005	88	10	rate	rate	NOUN
ejpam-6005	88	11	is	be	AUX
ejpam-6005	88	12	represented	represent	VERB
ejpam-6005	88	13	by	by	ADP
ejpam-6005	88	14	ϕ	ϕ	PROPN
ejpam-6005	88	15	,	,	PUNCT
ejpam-6005	88	16	the	the	DET
ejpam-6005	88	17	covid	covid	PROPN
ejpam-6005	88	18	infection	infection	NOUN
ejpam-6005	88	19	rate	rate	NOUN
ejpam-6005	88	20	by	by	ADP
ejpam-6005	88	21	η	η	PROPN
ejpam-6005	88	22	,	,	PUNCT
ejpam-6005	88	23	and	and	CCONJ
ejpam-6005	88	24	the	the	DET
ejpam-6005	88	25	co	co	ADJ
ejpam-6005	88	26	-	-	NOUN
ejpam-6005	88	27	infection	infection	NOUN
ejpam-6005	88	28	rate	rate	NOUN
ejpam-6005	88	29	by	by	ADP
ejpam-6005	88	30	β	β	X
ejpam-6005	88	31	.	.	PUNCT
ejpam-6005	89	1	the	the	DET
ejpam-6005	89	2	model	model	NOUN
ejpam-6005	89	3	recovered	recover	VERB
ejpam-6005	89	4	individuals	individual	NOUN
ejpam-6005	89	5	lose	lose	VERB
ejpam-6005	89	6	immunity	immunity	NOUN
ejpam-6005	89	7	is	be	AUX
ejpam-6005	89	8	represent	represent	ADJ
ejpam-6005	89	9	by	by	ADP
ejpam-6005	89	10	r.	r.	PROPN
ejpam-6005	89	11	r.	r.	PROPN
ejpam-6005	89	12	ud	ud	PROPN
ejpam-6005	89	13	din	din	PROPN
ejpam-6005	89	14	,	,	PUNCT
ejpam-6005	89	15	m.	m.	PROPN
ejpam-6005	89	16	s.	s.	PROPN
ejpam-6005	89	17	arif	arif	PROPN
ejpam-6005	89	18	/	/	SYM
ejpam-6005	89	19	eur	eur	PROPN
ejpam-6005	89	20	.	.	PUNCT
ejpam-6005	90	1	j.	j.	PROPN
ejpam-6005	90	2	pure	pure	PROPN
ejpam-6005	90	3	appl	appl	PROPN
ejpam-6005	90	4	.	.	PROPN
ejpam-6005	90	5	math	math	PROPN
ejpam-6005	90	6	,	,	PUNCT
ejpam-6005	90	7	18	18	NUM
ejpam-6005	90	8	(	(	PUNCT
ejpam-6005	90	9	2	2	NUM
ejpam-6005	90	10	)	)	PUNCT
ejpam-6005	90	11	(	(	PUNCT
ejpam-6005	90	12	2025	2025	NUM
ejpam-6005	90	13	)	)	PUNCT
ejpam-6005	90	14	,	,	PUNCT
ejpam-6005	90	15	6005	6005	NUM
ejpam-6005	90	16	5	5	NUM
ejpam-6005	90	17	of	of	ADP
ejpam-6005	90	18	27	27	NUM
ejpam-6005	90	19	3	3	NUM
ejpam-6005	90	20	.	.	PUNCT
ejpam-6005	90	21	mathematical	mathematical	ADJ
ejpam-6005	90	22	analysis	analysis	NOUN
ejpam-6005	90	23	of	of	ADP
ejpam-6005	90	24	deterministic	deterministic	ADJ
ejpam-6005	90	25	model	model	NOUN
ejpam-6005	90	26	(	(	PUNCT
ejpam-6005	90	27	1	1	NUM
ejpam-6005	90	28	)	)	PUNCT
ejpam-6005	90	29	in	in	ADP
ejpam-6005	90	30	this	this	DET
ejpam-6005	90	31	part	part	NOUN
ejpam-6005	90	32	of	of	ADP
ejpam-6005	90	33	our	our	PRON
ejpam-6005	90	34	work	work	NOUN
ejpam-6005	90	35	,	,	PUNCT
ejpam-6005	90	36	we	we	PRON
ejpam-6005	90	37	present	present	VERB
ejpam-6005	90	38	the	the	DET
ejpam-6005	90	39	well	well	ADJ
ejpam-6005	90	40	posedness	posedness	NOUN
ejpam-6005	90	41	of	of	ADP
ejpam-6005	90	42	the	the	DET
ejpam-6005	90	43	model	model	NOUN
ejpam-6005	90	44	,	,	PUNCT
ejpam-6005	90	45	and	and	CCONJ
ejpam-6005	90	46	feasible	feasible	ADJ
ejpam-6005	90	47	region	region	NOUN
ejpam-6005	90	48	where	where	SCONJ
ejpam-6005	90	49	solution	solution	NOUN
ejpam-6005	90	50	exist	exist	VERB
ejpam-6005	90	51	.	.	PUNCT
ejpam-6005	91	1	furthermore	furthermore	ADV
ejpam-6005	91	2	,	,	PUNCT
ejpam-6005	91	3	the	the	DET
ejpam-6005	91	4	uniqueness	uniqueness	NOUN
ejpam-6005	91	5	and	and	CCONJ
ejpam-6005	91	6	existence	existence	NOUN
ejpam-6005	91	7	are	be	AUX
ejpam-6005	91	8	discussed	discuss	VERB
ejpam-6005	91	9	.	.	PUNCT
ejpam-6005	92	1	the	the	DET
ejpam-6005	92	2	equilibrium	equilibrium	NOUN
ejpam-6005	92	3	points	point	NOUN
ejpam-6005	92	4	are	be	AUX
ejpam-6005	92	5	calculated	calculate	VERB
ejpam-6005	92	6	for	for	ADP
ejpam-6005	92	7	the	the	DET
ejpam-6005	92	8	model	model	NOUN
ejpam-6005	92	9	,	,	PUNCT
ejpam-6005	92	10	disease	disease	NOUN
ejpam-6005	92	11	free	free	ADJ
ejpam-6005	92	12	as	as	ADV
ejpam-6005	92	13	well	well	ADV
ejpam-6005	92	14	as	as	ADP
ejpam-6005	92	15	endemic	endemic	ADJ
ejpam-6005	92	16	equilibrium	equilibrium	NOUN
ejpam-6005	92	17	points	point	NOUN
ejpam-6005	92	18	of	of	ADP
ejpam-6005	92	19	the	the	DET
ejpam-6005	92	20	deterministic	deterministic	ADJ
ejpam-6005	92	21	model	model	NOUN
ejpam-6005	92	22	(	(	PUNCT
ejpam-6005	92	23	1	1	NUM
ejpam-6005	92	24	)	)	PUNCT
ejpam-6005	92	25	.	.	PUNCT
ejpam-6005	93	1	lemma	lemma	PROPN
ejpam-6005	93	2	1	1	NUM
ejpam-6005	93	3	.	.	PUNCT
ejpam-6005	94	1	the	the	DET
ejpam-6005	94	2	deterministic	deterministic	ADJ
ejpam-6005	94	3	model	model	NOUN
ejpam-6005	94	4	(	(	PUNCT
ejpam-6005	94	5	1	1	X
ejpam-6005	94	6	)	)	PUNCT
ejpam-6005	94	7	have	have	VERB
ejpam-6005	94	8	invariant	invariant	ADJ
ejpam-6005	94	9	manifold	manifold	ADJ
ejpam-6005	94	10	of	of	ADP
ejpam-6005	94	11	plane	plane	NOUN
ejpam-6005	94	12	s	s	PART
ejpam-6005	94	13	+	+	NOUN
ejpam-6005	94	14	e	e	NOUN
ejpam-6005	94	15	+	+	CCONJ
ejpam-6005	94	16	if	if	SCONJ
ejpam-6005	94	17	+	+	NUM
ejpam-6005	94	18	ic	ic	PROPN
ejpam-6005	95	1	+	+	NUM
ejpam-6005	95	2	c	c	PROPN
ejpam-6005	95	3	+	+	NOUN
ejpam-6005	95	4	v	v	ADP
ejpam-6005	95	5	+	+	NOUN
ejpam-6005	95	6	r	r	NOUN
ejpam-6005	95	7	=	=	SYM
ejpam-6005	95	8	b	b	NOUN
ejpam-6005	95	9	d0	d0	NOUN
ejpam-6005	95	10	,	,	PUNCT
ejpam-6005	95	11	which	which	PRON
ejpam-6005	95	12	exist	exist	VERB
ejpam-6005	95	13	in	in	ADP
ejpam-6005	95	14	first	first	ADJ
ejpam-6005	95	15	quadrant	quadrant	NOUN
ejpam-6005	95	16	.	.	PUNCT
ejpam-6005	96	1	proof	proof	NOUN
ejpam-6005	96	2	.	.	PUNCT
ejpam-6005	97	1	sum	sum	VERB
ejpam-6005	97	2	all	all	DET
ejpam-6005	97	3	equation	equation	NOUN
ejpam-6005	97	4	of	of	ADP
ejpam-6005	97	5	the	the	DET
ejpam-6005	97	6	system	system	NOUN
ejpam-6005	97	7	(	(	PUNCT
ejpam-6005	97	8	1	1	NUM
ejpam-6005	97	9	)	)	PUNCT
ejpam-6005	97	10	,	,	PUNCT
ejpam-6005	97	11	and	and	CCONJ
ejpam-6005	97	12	let	let	VERB
ejpam-6005	97	13	suppose	suppose	VERB
ejpam-6005	97	14	m	m	PRON
ejpam-6005	97	15	represent	represent	VERB
ejpam-6005	97	16	the	the	DET
ejpam-6005	97	17	whole	whole	ADJ
ejpam-6005	97	18	population	population	NOUN
ejpam-6005	97	19	of	of	ADP
ejpam-6005	97	20	the	the	DET
ejpam-6005	97	21	community	community	NOUN
ejpam-6005	97	22	,	,	PUNCT
ejpam-6005	97	23	then	then	ADV
ejpam-6005	97	24	we	we	PRON
ejpam-6005	97	25	have	have	VERB
ejpam-6005	97	26	m	m	NOUN
ejpam-6005	97	27	=	=	SYM
ejpam-6005	97	28	s	s	PART
ejpam-6005	97	29	+	+	NUM
ejpam-6005	97	30	e	e	NOUN
ejpam-6005	98	1	+	+	NOUN
ejpam-6005	98	2	if	if	SCONJ
ejpam-6005	98	3	+	+	NUM
ejpam-6005	98	4	ic	ic	PROPN
ejpam-6005	98	5	+	+	NUM
ejpam-6005	98	6	v	v	NOUN
ejpam-6005	98	7	+	+	NOUN
ejpam-6005	98	8	r+	r+	NOUN
ejpam-6005	98	9	c	c	NOUN
ejpam-6005	98	10	,	,	PUNCT
ejpam-6005	98	11	which	which	PRON
ejpam-6005	98	12	can	can	AUX
ejpam-6005	98	13	be	be	AUX
ejpam-6005	98	14	calculated	calculate	VERB
ejpam-6005	98	15	as	as	ADP
ejpam-6005	98	16	,	,	PUNCT
ejpam-6005	98	17	dm	dm	NOUN
ejpam-6005	98	18	dt	dt	NOUN
ejpam-6005	98	19	=	=	SYM
ejpam-6005	98	20	b−	b−	NOUN
ejpam-6005	98	21	d0s	d0	NOUN
ejpam-6005	98	22	−	−	PROPN
ejpam-6005	98	23	d0e	d0e	PROPN
ejpam-6005	98	24	−	−	NOUN
ejpam-6005	98	25	d0if	d0if	X
ejpam-6005	98	26	−	−	NOUN
ejpam-6005	98	27	d0ic	d0ic	NOUN
ejpam-6005	98	28	−	−	PROPN
ejpam-6005	98	29	d0c	d0c	PROPN
ejpam-6005	98	30	−	−	PROPN
ejpam-6005	98	31	d0v	d0v	NOUN
ejpam-6005	98	32	−	−	PROPN
ejpam-6005	98	33	d0r	d0r	ADJ
ejpam-6005	98	34	=	=	PUNCT
ejpam-6005	98	35	b−	b−	PROPN
ejpam-6005	98	36	d0(s	d0(s	PROPN
ejpam-6005	99	1	+	+	CCONJ
ejpam-6005	99	2	e	e	X
ejpam-6005	100	1	+	+	CCONJ
ejpam-6005	100	2	if	if	SCONJ
ejpam-6005	100	3	+	+	NUM
ejpam-6005	100	4	ic	ic	PROPN
ejpam-6005	100	5	+	+	NUM
ejpam-6005	100	6	c	c	PROPN
ejpam-6005	100	7	+	+	NOUN
ejpam-6005	100	8	v	v	ADP
ejpam-6005	100	9	+	+	NOUN
ejpam-6005	100	10	r	r	NOUN
ejpam-6005	100	11	)	)	PUNCT
ejpam-6005	100	12	.	.	PUNCT
ejpam-6005	101	1	by	by	ADP
ejpam-6005	101	2	simple	simple	ADJ
ejpam-6005	101	3	calculation	calculation	NOUN
ejpam-6005	101	4	,	,	PUNCT
ejpam-6005	101	5	we	we	PRON
ejpam-6005	101	6	get	get	VERB
ejpam-6005	101	7	dm	dm	NOUN
ejpam-6005	101	8	dt	dt	NOUN
ejpam-6005	101	9	=	=	SYM
ejpam-6005	101	10	b−	b−	PROPN
ejpam-6005	101	11	d0	d0	NOUN
ejpam-6005	101	12	m	m	PROPN
ejpam-6005	101	13	(	(	PUNCT
ejpam-6005	101	14	2	2	NUM
ejpam-6005	101	15	)	)	PUNCT
ejpam-6005	101	16	hence	hence	ADV
ejpam-6005	101	17	,	,	PUNCT
ejpam-6005	101	18	the	the	DET
ejpam-6005	101	19	solution	solution	NOUN
ejpam-6005	101	20	m	m	NOUN
ejpam-6005	101	21	=	=	SYM
ejpam-6005	101	22	b	b	PROPN
ejpam-6005	101	23	d0	d0	NOUN
ejpam-6005	101	24	,	,	PUNCT
ejpam-6005	101	25	is	be	AUX
ejpam-6005	101	26	obtained	obtain	VERB
ejpam-6005	101	27	from	from	ADP
ejpam-6005	101	28	(	(	PUNCT
ejpam-6005	101	29	2	2	NUM
ejpam-6005	101	30	)	)	PUNCT
ejpam-6005	101	31	also	also	ADV
ejpam-6005	101	32	,	,	PUNCT
ejpam-6005	101	33	the	the	DET
ejpam-6005	101	34	general	general	ADJ
ejpam-6005	101	35	solution	solution	NOUN
ejpam-6005	101	36	for	for	ADP
ejpam-6005	101	37	m(t0	m(t0	PROPN
ejpam-6005	101	38	)	)	PUNCT
ejpam-6005	101	39	≥	≥	NOUN
ejpam-6005	101	40	0	0	NUM
ejpam-6005	101	41	of	of	ADP
ejpam-6005	101	42	(	(	PUNCT
ejpam-6005	101	43	2	2	NUM
ejpam-6005	101	44	)	)	PUNCT
ejpam-6005	101	45	is	be	AUX
ejpam-6005	101	46	m	m	NOUN
ejpam-6005	101	47	=	=	SYM
ejpam-6005	101	48	1	1	NUM
ejpam-6005	101	49	d0	d0	NOUN
ejpam-6005	101	50	[	[	X
ejpam-6005	101	51	b−	b−	NOUN
ejpam-6005	101	52	(	(	PUNCT
ejpam-6005	101	53	b−	b−	PROPN
ejpam-6005	101	54	d0m(t0))e	d0m(t0))e	ADJ
ejpam-6005	101	55	−d0(t−t0	−d0(t−t0	NOUN
ejpam-6005	101	56	)	)	PUNCT
ejpam-6005	101	57	]	]	PUNCT
ejpam-6005	101	58	.	.	PUNCT
ejpam-6005	102	1	thus	thus	ADV
ejpam-6005	102	2	lim	lim	PROPN
ejpam-6005	102	3	t→∞	t→∞	X
ejpam-6005	102	4	m	m	NOUN
ejpam-6005	102	5	=	=	SYM
ejpam-6005	102	6	b	b	PROPN
ejpam-6005	102	7	d0	d0	NOUN
ejpam-6005	102	8	.	.	PUNCT
ejpam-6005	103	1	hence	hence	ADV
ejpam-6005	103	2	,	,	PUNCT
ejpam-6005	103	3	the	the	DET
ejpam-6005	103	4	proof	proof	NOUN
ejpam-6005	103	5	is	be	AUX
ejpam-6005	103	6	complete	complete	ADJ
ejpam-6005	103	7	.	.	PUNCT
ejpam-6005	104	1	this	this	PRON
ejpam-6005	104	2	above	above	ADP
ejpam-6005	104	3	result	result	NOUN
ejpam-6005	104	4	shows	show	VERB
ejpam-6005	104	5	that	that	SCONJ
ejpam-6005	104	6	the	the	DET
ejpam-6005	104	7	system	system	NOUN
ejpam-6005	104	8	(	(	PUNCT
ejpam-6005	104	9	1	1	X
ejpam-6005	104	10	)	)	PUNCT
ejpam-6005	104	11	is	be	AUX
ejpam-6005	104	12	mathematically	mathematically	ADV
ejpam-6005	104	13	well	well	ADV
ejpam-6005	104	14	-	-	PUNCT
ejpam-6005	104	15	posed	pose	VERB
ejpam-6005	104	16	.	.	PUNCT
ejpam-6005	105	1	the	the	DET
ejpam-6005	105	2	possible	possible	ADJ
ejpam-6005	105	3	region	region	NOUN
ejpam-6005	105	4	where	where	SCONJ
ejpam-6005	105	5	solution	solution	NOUN
ejpam-6005	105	6	lies	lie	VERB
ejpam-6005	105	7	is	be	AUX
ejpam-6005	105	8	the	the	DET
ejpam-6005	105	9	following	following	NOUN
ejpam-6005	105	10	,	,	PUNCT
ejpam-6005	105	11	φ	φ	PROPN
ejpam-6005	105	12	=	=	SYM
ejpam-6005	105	13	(	(	PUNCT
ejpam-6005	105	14	s	s	X
ejpam-6005	105	15	,	,	PUNCT
ejpam-6005	105	16	e	e	X
ejpam-6005	105	17	,	,	PUNCT
ejpam-6005	105	18	if	if	SCONJ
ejpam-6005	105	19	,	,	PUNCT
ejpam-6005	105	20	ic	ic	PROPN
ejpam-6005	105	21	,	,	PUNCT
ejpam-6005	105	22	v	v	NOUN
ejpam-6005	105	23	,	,	PUNCT
ejpam-6005	105	24	r	r	NOUN
ejpam-6005	105	25	,	,	PUNCT
ejpam-6005	105	26	c	c	NOUN
ejpam-6005	105	27	)	)	PUNCT
ejpam-6005	105	28	:	:	PUNCT
ejpam-6005	105	29	0	0	NUM
ejpam-6005	105	30	≤	≤	NUM
ejpam-6005	105	31	s	s	PROPN
ejpam-6005	105	32	,	,	PUNCT
ejpam-6005	105	33	e	e	X
ejpam-6005	105	34	,	,	PUNCT
ejpam-6005	105	35	if	if	SCONJ
ejpam-6005	105	36	,	,	PUNCT
ejpam-6005	105	37	ic	ic	PROPN
ejpam-6005	105	38	,	,	PUNCT
ejpam-6005	105	39	v	v	NOUN
ejpam-6005	105	40	,	,	PUNCT
ejpam-6005	105	41	r	r	NOUN
ejpam-6005	105	42	,	,	PUNCT
ejpam-6005	105	43	c	c	NOUN
ejpam-6005	105	44	,	,	PUNCT
ejpam-6005	105	45	s	s	PART
ejpam-6005	105	46	+	+	X
ejpam-6005	105	47	e	e	X
ejpam-6005	105	48	+	+	NOUN
ejpam-6005	105	49	if	if	SCONJ
ejpam-6005	105	50	+	+	NUM
ejpam-6005	105	51	ic	ic	PROPN
ejpam-6005	105	52	+	+	NUM
ejpam-6005	105	53	v	v	NOUN
ejpam-6005	105	54	+	+	NOUN
ejpam-6005	105	55	r+	r+	NOUN
ejpam-6005	105	56	c	c	NOUN
ejpam-6005	105	57	≤	≤	PROPN
ejpam-6005	105	58	b	b	NOUN
ejpam-6005	105	59	d0	d0	NOUN
ejpam-6005	105	60	.	.	PUNCT
ejpam-6005	106	1	r.	r.	PROPN
ejpam-6005	106	2	ud	ud	PROPN
ejpam-6005	106	3	din	din	PROPN
ejpam-6005	106	4	,	,	PUNCT
ejpam-6005	106	5	m.	m.	PROPN
ejpam-6005	106	6	s.	s.	PROPN
ejpam-6005	106	7	arif	arif	PROPN
ejpam-6005	106	8	/	/	SYM
ejpam-6005	106	9	eur	eur	PROPN
ejpam-6005	106	10	.	.	PUNCT
ejpam-6005	107	1	j.	j.	PROPN
ejpam-6005	107	2	pure	pure	PROPN
ejpam-6005	107	3	appl	appl	PROPN
ejpam-6005	107	4	.	.	PROPN
ejpam-6005	107	5	math	math	PROPN
ejpam-6005	107	6	,	,	PUNCT
ejpam-6005	107	7	18	18	NUM
ejpam-6005	107	8	(	(	PUNCT
ejpam-6005	107	9	2	2	NUM
ejpam-6005	107	10	)	)	PUNCT
ejpam-6005	107	11	(	(	PUNCT
ejpam-6005	107	12	2025	2025	NUM
ejpam-6005	107	13	)	)	PUNCT
ejpam-6005	107	14	,	,	PUNCT
ejpam-6005	107	15	6005	6005	NUM
ejpam-6005	107	16	6	6	NUM
ejpam-6005	107	17	of	of	ADP
ejpam-6005	107	18	27	27	NUM
ejpam-6005	107	19	3.1	3.1	NUM
ejpam-6005	107	20	.	.	PUNCT
ejpam-6005	108	1	existence	existence	NOUN
ejpam-6005	108	2	and	and	CCONJ
ejpam-6005	108	3	uniqueness	uniqueness	NOUN
ejpam-6005	108	4	of	of	ADP
ejpam-6005	108	5	deterministic	deterministic	ADJ
ejpam-6005	108	6	model	model	NOUN
ejpam-6005	108	7	(	(	PUNCT
ejpam-6005	108	8	1	1	X
ejpam-6005	108	9	)	)	PUNCT
ejpam-6005	108	10	we	we	PRON
ejpam-6005	108	11	search	search	VERB
ejpam-6005	108	12	for	for	ADP
ejpam-6005	108	13	the	the	DET
ejpam-6005	108	14	existence	existence	NOUN
ejpam-6005	108	15	and	and	CCONJ
ejpam-6005	108	16	uniqueness	uniqueness	NOUN
ejpam-6005	108	17	of	of	ADP
ejpam-6005	108	18	the	the	DET
ejpam-6005	108	19	system	system	NOUN
ejpam-6005	108	20	(	(	PUNCT
ejpam-6005	108	21	1	1	NUM
ejpam-6005	108	22	)	)	PUNCT
ejpam-6005	108	23	.	.	PUNCT
ejpam-6005	109	1	to	to	PART
ejpam-6005	109	2	do	do	VERB
ejpam-6005	109	3	this	this	PRON
ejpam-6005	109	4	,	,	PUNCT
ejpam-6005	109	5	we	we	PRON
ejpam-6005	109	6	supply	supply	VERB
ejpam-6005	109	7	the	the	DET
ejpam-6005	109	8	model	model	NOUN
ejpam-6005	109	9	(	(	PUNCT
ejpam-6005	109	10	1	1	NUM
ejpam-6005	109	11	)	)	PUNCT
ejpam-6005	109	12	in	in	ADP
ejpam-6005	109	13	the	the	DET
ejpam-6005	109	14	way	way	NOUN
ejpam-6005	109	15	that	that	PRON
ejpam-6005	109	16	is	be	AUX
ejpam-6005	109	17	dictated	dictate	VERB
ejpam-6005	109	18	by	by	ADP
ejpam-6005	109	19	s	s	PRON
ejpam-6005	109	20	′	′	NOUN
ejpam-6005	109	21	=	=	SYM
ejpam-6005	109	22	f1	f1	PROPN
ejpam-6005	109	23	(	(	PUNCT
ejpam-6005	109	24	t	t	PROPN
ejpam-6005	109	25	,	,	PUNCT
ejpam-6005	109	26	s	s	X
ejpam-6005	109	27	,	,	PUNCT
ejpam-6005	109	28	e	e	X
ejpam-6005	109	29	,	,	PUNCT
ejpam-6005	109	30	if	if	SCONJ
ejpam-6005	109	31	,	,	PUNCT
ejpam-6005	109	32	ic	ic	PROPN
ejpam-6005	109	33	,	,	PUNCT
ejpam-6005	109	34	c	c	PROPN
ejpam-6005	109	35	,	,	PUNCT
ejpam-6005	109	36	v	v	NOUN
ejpam-6005	109	37	,	,	PUNCT
ejpam-6005	109	38	r	r	NOUN
ejpam-6005	109	39	,	,	PUNCT
ejpam-6005	109	40	)	)	PUNCT
ejpam-6005	109	41	,	,	PUNCT
ejpam-6005	109	42	e	e	NOUN
ejpam-6005	109	43	′	′	NOUN
ejpam-6005	109	44	=	=	SYM
ejpam-6005	109	45	f2	f2	PROPN
ejpam-6005	109	46	(	(	PUNCT
ejpam-6005	109	47	t	t	PROPN
ejpam-6005	109	48	,	,	PUNCT
ejpam-6005	109	49	s	s	X
ejpam-6005	109	50	,	,	PUNCT
ejpam-6005	109	51	e	e	X
ejpam-6005	109	52	,	,	PUNCT
ejpam-6005	109	53	if	if	SCONJ
ejpam-6005	109	54	,	,	PUNCT
ejpam-6005	109	55	ic	ic	PROPN
ejpam-6005	109	56	,	,	PUNCT
ejpam-6005	109	57	c	c	PROPN
ejpam-6005	109	58	,	,	PUNCT
ejpam-6005	109	59	v	v	NOUN
ejpam-6005	109	60	,	,	PUNCT
ejpam-6005	109	61	r	r	NOUN
ejpam-6005	109	62	,	,	PUNCT
ejpam-6005	109	63	)	)	PUNCT
ejpam-6005	109	64	,	,	PUNCT
ejpam-6005	110	1	i	i	PRON
ejpam-6005	110	2	′	′	NOUN
ejpam-6005	111	1	f	f	NOUN
ejpam-6005	111	2	=	=	SYM
ejpam-6005	111	3	f3	f3	PROPN
ejpam-6005	111	4	(	(	PUNCT
ejpam-6005	111	5	t	t	PROPN
ejpam-6005	111	6	,	,	PUNCT
ejpam-6005	111	7	s	s	X
ejpam-6005	111	8	,	,	PUNCT
ejpam-6005	111	9	e	e	X
ejpam-6005	111	10	,	,	PUNCT
ejpam-6005	111	11	if	if	SCONJ
ejpam-6005	111	12	,	,	PUNCT
ejpam-6005	111	13	ic	ic	PROPN
ejpam-6005	111	14	,	,	PUNCT
ejpam-6005	111	15	c	c	PROPN
ejpam-6005	111	16	,	,	PUNCT
ejpam-6005	111	17	v	v	NOUN
ejpam-6005	111	18	,	,	PUNCT
ejpam-6005	111	19	r	r	NOUN
ejpam-6005	111	20	,	,	PUNCT
ejpam-6005	111	21	)	)	PUNCT
ejpam-6005	111	22	,	,	PUNCT
ejpam-6005	111	23	i	i	PRON
ejpam-6005	111	24	′	′	VERB
ejpam-6005	111	25	c	c	X
ejpam-6005	112	1	=	=	SYM
ejpam-6005	112	2	f4	f4	X
ejpam-6005	112	3	(	(	PUNCT
ejpam-6005	112	4	t	t	PROPN
ejpam-6005	112	5	,	,	PUNCT
ejpam-6005	112	6	s	s	X
ejpam-6005	112	7	,	,	PUNCT
ejpam-6005	112	8	e	e	X
ejpam-6005	112	9	,	,	PUNCT
ejpam-6005	112	10	if	if	SCONJ
ejpam-6005	112	11	,	,	PUNCT
ejpam-6005	112	12	ic	ic	PROPN
ejpam-6005	112	13	,	,	PUNCT
ejpam-6005	112	14	c	c	PROPN
ejpam-6005	112	15	,	,	PUNCT
ejpam-6005	112	16	v	v	NOUN
ejpam-6005	112	17	,	,	PUNCT
ejpam-6005	112	18	r	r	NOUN
ejpam-6005	112	19	,	,	PUNCT
ejpam-6005	112	20	)	)	PUNCT
ejpam-6005	112	21	,	,	PUNCT
ejpam-6005	112	22	v	v	NOUN
ejpam-6005	112	23	′	′	NOUN
ejpam-6005	112	24	=	=	PUNCT
ejpam-6005	112	25	f5	f5	NOUN
ejpam-6005	112	26	(	(	PUNCT
ejpam-6005	112	27	t	t	PROPN
ejpam-6005	112	28	,	,	PUNCT
ejpam-6005	112	29	s	s	X
ejpam-6005	112	30	,	,	PUNCT
ejpam-6005	112	31	e	e	X
ejpam-6005	112	32	,	,	PUNCT
ejpam-6005	112	33	if	if	SCONJ
ejpam-6005	112	34	,	,	PUNCT
ejpam-6005	112	35	ic	ic	PROPN
ejpam-6005	112	36	,	,	PUNCT
ejpam-6005	112	37	c	c	PROPN
ejpam-6005	112	38	,	,	PUNCT
ejpam-6005	112	39	v	v	NOUN
ejpam-6005	112	40	,	,	PUNCT
ejpam-6005	112	41	r	r	NOUN
ejpam-6005	112	42	,	,	PUNCT
ejpam-6005	112	43	)	)	PUNCT
ejpam-6005	112	44	,	,	PUNCT
ejpam-6005	112	45	r′	r′	PROPN
ejpam-6005	112	46	=	=	SYM
ejpam-6005	112	47	f6	f6	PROPN
ejpam-6005	112	48	(	(	PUNCT
ejpam-6005	112	49	t	t	PROPN
ejpam-6005	112	50	,	,	PUNCT
ejpam-6005	112	51	s	s	X
ejpam-6005	112	52	,	,	PUNCT
ejpam-6005	112	53	e	e	X
ejpam-6005	112	54	,	,	PUNCT
ejpam-6005	112	55	if	if	SCONJ
ejpam-6005	112	56	,	,	PUNCT
ejpam-6005	112	57	ic	ic	PROPN
ejpam-6005	112	58	,	,	PUNCT
ejpam-6005	112	59	c	c	PROPN
ejpam-6005	112	60	,	,	PUNCT
ejpam-6005	112	61	v	v	NOUN
ejpam-6005	112	62	,	,	PUNCT
ejpam-6005	112	63	r	r	NOUN
ejpam-6005	112	64	,	,	PUNCT
ejpam-6005	112	65	)	)	PUNCT
ejpam-6005	112	66	,	,	PUNCT
ejpam-6005	112	67	c′	c′	VERB
ejpam-6005	112	68	=	=	SYM
ejpam-6005	112	69	f7	f7	PROPN
ejpam-6005	112	70	(	(	PUNCT
ejpam-6005	112	71	t	t	PROPN
ejpam-6005	112	72	,	,	PUNCT
ejpam-6005	112	73	s	s	X
ejpam-6005	112	74	,	,	PUNCT
ejpam-6005	112	75	e	e	X
ejpam-6005	112	76	,	,	PUNCT
ejpam-6005	112	77	if	if	SCONJ
ejpam-6005	112	78	,	,	PUNCT
ejpam-6005	112	79	ic	ic	PROPN
ejpam-6005	112	80	,	,	PUNCT
ejpam-6005	112	81	c	c	PROPN
ejpam-6005	112	82	,	,	PUNCT
ejpam-6005	112	83	v	v	NOUN
ejpam-6005	112	84	,	,	PUNCT
ejpam-6005	112	85	r	r	NOUN
ejpam-6005	112	86	,	,	PUNCT
ejpam-6005	112	87	)	)	PUNCT
ejpam-6005	112	88	.	.	PUNCT
ejpam-6005	113	1	(	(	PUNCT
ejpam-6005	113	2	3	3	X
ejpam-6005	113	3	)	)	PUNCT
ejpam-6005	113	4	norm	norm	NOUN
ejpam-6005	113	5	is	be	AUX
ejpam-6005	113	6	define	define	VERB
ejpam-6005	113	7	as	as	ADP
ejpam-6005	113	8	||χ||∞	||χ||∞	NOUN
ejpam-6005	113	9	=	=	SYM
ejpam-6005	113	10	sup	sup	NOUN
ejpam-6005	113	11	t∈x	t∈x	ADJ
ejpam-6005	113	12	.	.	PUNCT
ejpam-6005	114	1	(	(	PUNCT
ejpam-6005	114	2	4	4	X
ejpam-6005	114	3	)	)	PUNCT
ejpam-6005	114	4	let	let	VERB
ejpam-6005	114	5	for	for	ADP
ejpam-6005	114	6	some	some	DET
ejpam-6005	114	7	positive	positive	ADJ
ejpam-6005	114	8	constant	constant	ADJ
ejpam-6005	114	9	h1	h1	NOUN
ejpam-6005	114	10	,	,	PUNCT
ejpam-6005	114	11	h2	h2	PROPN
ejpam-6005	114	12	,	,	PUNCT
ejpam-6005	114	13	h3	h3	NOUN
ejpam-6005	114	14	,	,	PUNCT
ejpam-6005	114	15	h4	h4	NOUN
ejpam-6005	114	16	,	,	PUNCT
ejpam-6005	114	17	h5	h5	NOUN
ejpam-6005	114	18	,	,	PUNCT
ejpam-6005	114	19	h6	h6	PROPN
ejpam-6005	114	20	and	and	CCONJ
ejpam-6005	114	21	h7	h7	PROPN
ejpam-6005	114	22	,	,	PUNCT
ejpam-6005	114	23	where	where	SCONJ
ejpam-6005	114	24	t	t	PROPN
ejpam-6005	114	25	∈	∈	PROPN
ejpam-6005	115	1	[	[	X
ejpam-6005	115	2	0	0	NUM
ejpam-6005	115	3	,	,	PUNCT
ejpam-6005	115	4	t	t	X
ejpam-6005	115	5	]	]	PUNCT
ejpam-6005	115	6	,	,	PUNCT
ejpam-6005	115	7	we	we	PRON
ejpam-6005	115	8	assume	assume	VERB
ejpam-6005	115	9	that	that	SCONJ
ejpam-6005	115	10	the	the	DET
ejpam-6005	115	11	each	each	DET
ejpam-6005	115	12	compartment	compartment	NOUN
ejpam-6005	115	13	of	of	ADP
ejpam-6005	115	14	deterministic	deterministic	ADJ
ejpam-6005	115	15	model	model	NOUN
ejpam-6005	115	16	(	(	PUNCT
ejpam-6005	115	17	1	1	X
ejpam-6005	115	18	)	)	PUNCT
ejpam-6005	115	19	is	be	AUX
ejpam-6005	115	20	bounded	bound	VERB
ejpam-6005	115	21	in	in	ADP
ejpam-6005	115	22	[	[	X
ejpam-6005	115	23	0	0	NUM
ejpam-6005	115	24	,	,	PUNCT
ejpam-6005	115	25	t	t	PROPN
ejpam-6005	115	26	]	]	PUNCT
ejpam-6005	115	27	||s||∞	||s||∞	VERB
ejpam-6005	115	28	<	<	X
ejpam-6005	115	29	h1	h1	PROPN
ejpam-6005	115	30	,	,	PUNCT
ejpam-6005	115	31	||e||∞	||e||∞	NOUN
ejpam-6005	115	32	<	<	X
ejpam-6005	115	33	h2	h2	NOUN
ejpam-6005	115	34	,	,	PUNCT
ejpam-6005	115	35	||if	||if	NOUN
ejpam-6005	115	36	||∞	||∞	PROPN
ejpam-6005	115	37	<	<	X
ejpam-6005	115	38	h3	h3	NOUN
ejpam-6005	115	39	,	,	PUNCT
ejpam-6005	115	40	||ic||∞	||ic||∞	DET
ejpam-6005	115	41	<	<	X
ejpam-6005	115	42	h4	h4	NOUN
ejpam-6005	115	43	,	,	PUNCT
ejpam-6005	115	44	||v||∞	||v||∞	NOUN
ejpam-6005	115	45	<	<	X
ejpam-6005	115	46	h5	h5	PROPN
ejpam-6005	115	47	,	,	PUNCT
ejpam-6005	115	48	||r||∞	||r||∞	NOUN
ejpam-6005	115	49	<	<	X
ejpam-6005	115	50	h6	h6	PROPN
ejpam-6005	115	51	,	,	PUNCT
ejpam-6005	115	52	||c||∞	||c||∞	VERB
ejpam-6005	115	53	<	<	X
ejpam-6005	115	54	h7	h7	PROPN
ejpam-6005	115	55	,	,	PUNCT
ejpam-6005	115	56	and	and	CCONJ
ejpam-6005	115	57	k	k	PROPN
ejpam-6005	115	58	=	=	PUNCT
ejpam-6005	115	59	h1	h1	PROPN
ejpam-6005	115	60	+	+	NUM
ejpam-6005	115	61	h2	h2	NOUN
ejpam-6005	115	62	.	.	PUNCT
ejpam-6005	116	1	to	to	PART
ejpam-6005	116	2	investigated	investigate	VERB
ejpam-6005	116	3	the	the	DET
ejpam-6005	116	4	bondness	bondness	NOUN
ejpam-6005	116	5	of	of	ADP
ejpam-6005	116	6	model	model	NOUN
ejpam-6005	116	7	1	1	NUM
ejpam-6005	116	8	,	,	PUNCT
ejpam-6005	116	9	we	we	PRON
ejpam-6005	116	10	have	have	VERB
ejpam-6005	116	11	|g1	|g1	PROPN
ejpam-6005	116	12	(	(	PUNCT
ejpam-6005	116	13	t	t	PROPN
ejpam-6005	116	14	,	,	PUNCT
ejpam-6005	116	15	s	s	X
ejpam-6005	116	16	,	,	PUNCT
ejpam-6005	117	1	e	e	X
ejpam-6005	117	2	,	,	PUNCT
ejpam-6005	117	3	if	if	SCONJ
ejpam-6005	117	4	,	,	PUNCT
ejpam-6005	117	5	ic	ic	PROPN
ejpam-6005	117	6	,	,	PUNCT
ejpam-6005	117	7	v	v	NOUN
ejpam-6005	117	8	,	,	PUNCT
ejpam-6005	117	9	r	r	NOUN
ejpam-6005	117	10	,	,	PUNCT
ejpam-6005	117	11	c	c	NOUN
ejpam-6005	117	12	)	)	PUNCT
ejpam-6005	117	13	|	|	NOUN
ejpam-6005	118	1	=	=	NOUN
ejpam-6005	118	2	|b−ksi(βi	|b−ksi(βi	PRON
ejpam-6005	118	3	+	+	PROPN
ejpam-6005	118	4	1)−	1)−	NUM
ejpam-6005	118	5	d0s	d0	NOUN
ejpam-6005	118	6	+	+	CCONJ
ejpam-6005	118	7	rr|	rr|	NOUN
ejpam-6005	118	8	,	,	PUNCT
ejpam-6005	118	9	≤b+	≤b+	NOUN
ejpam-6005	118	10	|s|k|i|(β|i|+	|s|k|i|(β|i|+	NOUN
ejpam-6005	118	11	1	1	NUM
ejpam-6005	118	12	)	)	PUNCT
ejpam-6005	118	13	+	+	CCONJ
ejpam-6005	118	14	d0|s|+	d0|s|+	NOUN
ejpam-6005	118	15	r|r|	r|r|	NOUN
ejpam-6005	118	16	,	,	PUNCT
ejpam-6005	118	17	≤b+	≤b+	NUM
ejpam-6005	118	18	sup	sup	NOUN
ejpam-6005	118	19	x	x	PUNCT
ejpam-6005	118	20	|s|k	|s|k	NOUN
ejpam-6005	118	21	sup	sup	NOUN
ejpam-6005	118	22	x	x	NOUN
ejpam-6005	118	23	|i|(β	|i|(β	NOUN
ejpam-6005	118	24	sup	sup	NOUN
ejpam-6005	118	25	x	x	NOUN
ejpam-6005	118	26	|i|+	|i|+	ADP
ejpam-6005	118	27	1	1	NUM
ejpam-6005	118	28	)	)	PUNCT
ejpam-6005	118	29	+	+	CCONJ
ejpam-6005	118	30	d0	d0	NOUN
ejpam-6005	118	31	sup	sup	NOUN
ejpam-6005	118	32	x	x	NOUN
ejpam-6005	118	33	|s|+	|s|+	NOUN
ejpam-6005	118	34	r	r	NOUN
ejpam-6005	118	35	sup	sup	NOUN
ejpam-6005	118	36	x	x	SYM
ejpam-6005	118	37	|r|	|r|	NOUN
ejpam-6005	118	38	,	,	PUNCT
ejpam-6005	118	39	≤b+	≤b+	NOUN
ejpam-6005	118	40	||s||∞k||i||∞(β||i||∞	||s||∞k||i||∞(β||i||∞	NOUN
ejpam-6005	118	41	+	+	CCONJ
ejpam-6005	118	42	1	1	NUM
ejpam-6005	118	43	)	)	PUNCT
ejpam-6005	118	44	+	+	PUNCT
ejpam-6005	118	45	d0||s||∞	d0||s||∞	NOUN
ejpam-6005	118	46	+	+	CCONJ
ejpam-6005	118	47	r||r||∞	r||r||∞	NOUN
ejpam-6005	118	48	,	,	PUNCT
ejpam-6005	118	49	≤b+	≤b+	NOUN
ejpam-6005	118	50	h1kk(βk	h1kk(βk	NOUN
ejpam-6005	118	51	+	+	NOUN
ejpam-6005	118	52	1	1	NUM
ejpam-6005	118	53	)	)	PUNCT
ejpam-6005	118	54	+	+	NUM
ejpam-6005	118	55	d0h1	d0h1	X
ejpam-6005	118	56	+	+	CCONJ
ejpam-6005	118	57	rh6	rh6	VERB
ejpam-6005	118	58	<	<	X
ejpam-6005	118	59	∞.	∞.	PROPN
ejpam-6005	118	60	(	(	PUNCT
ejpam-6005	118	61	5	5	NUM
ejpam-6005	118	62	)	)	PUNCT
ejpam-6005	118	63	r.	r.	PROPN
ejpam-6005	118	64	ud	ud	PROPN
ejpam-6005	118	65	din	din	PROPN
ejpam-6005	118	66	,	,	PUNCT
ejpam-6005	118	67	m.	m.	PROPN
ejpam-6005	118	68	s.	s.	PROPN
ejpam-6005	118	69	arif	arif	PROPN
ejpam-6005	118	70	/	/	SYM
ejpam-6005	118	71	eur	eur	PROPN
ejpam-6005	118	72	.	.	PUNCT
ejpam-6005	119	1	j.	j.	PROPN
ejpam-6005	119	2	pure	pure	PROPN
ejpam-6005	119	3	appl	appl	PROPN
ejpam-6005	119	4	.	.	PROPN
ejpam-6005	119	5	math	math	PROPN
ejpam-6005	119	6	,	,	PUNCT
ejpam-6005	119	7	18	18	NUM
ejpam-6005	119	8	(	(	PUNCT
ejpam-6005	119	9	2	2	NUM
ejpam-6005	119	10	)	)	PUNCT
ejpam-6005	119	11	(	(	PUNCT
ejpam-6005	119	12	2025	2025	NUM
ejpam-6005	119	13	)	)	PUNCT
ejpam-6005	119	14	,	,	PUNCT
ejpam-6005	119	15	6005	6005	NUM
ejpam-6005	119	16	7	7	NUM
ejpam-6005	119	17	of	of	ADP
ejpam-6005	119	18	27	27	NUM
ejpam-6005	119	19	where	where	SCONJ
ejpam-6005	119	20	m	m	NOUN
ejpam-6005	119	21	is	be	AUX
ejpam-6005	119	22	equal	equal	ADJ
ejpam-6005	119	23	to	to	ADP
ejpam-6005	119	24	t	t	PROPN
ejpam-6005	119	25	,	,	PUNCT
ejpam-6005	119	26	and	and	CCONJ
ejpam-6005	119	27	belong	belong	VERB
ejpam-6005	119	28	to	to	ADP
ejpam-6005	119	29	[	[	X
ejpam-6005	119	30	0	0	NUM
ejpam-6005	119	31	,	,	PUNCT
ejpam-6005	119	32	t	t	X
ejpam-6005	119	33	]	]	PUNCT
ejpam-6005	119	34	.	.	PUNCT
ejpam-6005	120	1	using	use	VERB
ejpam-6005	120	2	the	the	DET
ejpam-6005	120	3	same	same	ADJ
ejpam-6005	120	4	procedure	procedure	NOUN
ejpam-6005	120	5	,	,	PUNCT
ejpam-6005	120	6	we	we	PRON
ejpam-6005	120	7	have	have	VERB
ejpam-6005	120	8	|g2	|g2	PROPN
ejpam-6005	120	9	(	(	PUNCT
ejpam-6005	120	10	t	t	PROPN
ejpam-6005	120	11	,	,	PUNCT
ejpam-6005	120	12	s	s	X
ejpam-6005	120	13	,	,	PUNCT
ejpam-6005	120	14	e	e	X
ejpam-6005	120	15	,	,	PUNCT
ejpam-6005	120	16	if	if	SCONJ
ejpam-6005	120	17	,	,	PUNCT
ejpam-6005	120	18	ic	ic	PROPN
ejpam-6005	120	19	,	,	PUNCT
ejpam-6005	120	20	v	v	NOUN
ejpam-6005	120	21	,	,	PUNCT
ejpam-6005	120	22	r	r	NOUN
ejpam-6005	120	23	,	,	PUNCT
ejpam-6005	120	24	c	c	NOUN
ejpam-6005	120	25	)	)	PUNCT
ejpam-6005	121	1	|	|	ADV
ejpam-6005	121	2	=	=	SYM
ejpam-6005	121	3	|ksi(βi	|ksi(βi	PROPN
ejpam-6005	121	4	+	+	PROPN
ejpam-6005	121	5	1)−	1)−	PROPN
ejpam-6005	121	6	(	(	PUNCT
ejpam-6005	121	7	d0	d0	NOUN
ejpam-6005	121	8	+	+	CCONJ
ejpam-6005	121	9	η	η	PROPN
ejpam-6005	121	10	+	+	PROPN
ejpam-6005	121	11	ϕ)e|	ϕ)e|	PROPN
ejpam-6005	121	12	,	,	PUNCT
ejpam-6005	121	13	≤kh1k(βk	≤kh1k(βk	NOUN
ejpam-6005	121	14	+	+	CCONJ
ejpam-6005	121	15	1	1	X
ejpam-6005	121	16	)	)	PUNCT
ejpam-6005	121	17	+	+	CCONJ
ejpam-6005	121	18	(	(	PUNCT
ejpam-6005	121	19	d0	d0	NOUN
ejpam-6005	121	20	+	+	CCONJ
ejpam-6005	121	21	η	η	PROPN
ejpam-6005	121	22	+	+	PROPN
ejpam-6005	122	1	ϕ)h2	ϕ)h2	PROPN
ejpam-6005	122	2	<	<	X
ejpam-6005	122	3	∞.	∞.	PROPN
ejpam-6005	122	4	(	(	PUNCT
ejpam-6005	122	5	6	6	NUM
ejpam-6005	122	6	)	)	PUNCT
ejpam-6005	122	7	|g3	|g3	PROPN
ejpam-6005	122	8	(	(	PUNCT
ejpam-6005	122	9	t	t	PROPN
ejpam-6005	122	10	,	,	PUNCT
ejpam-6005	122	11	s	s	X
ejpam-6005	122	12	,	,	PUNCT
ejpam-6005	122	13	e	e	X
ejpam-6005	122	14	,	,	PUNCT
ejpam-6005	122	15	if	if	SCONJ
ejpam-6005	122	16	,	,	PUNCT
ejpam-6005	122	17	ic	ic	PROPN
ejpam-6005	122	18	,	,	PUNCT
ejpam-6005	122	19	v	v	NOUN
ejpam-6005	122	20	,	,	PUNCT
ejpam-6005	122	21	r	r	NOUN
ejpam-6005	122	22	,	,	PUNCT
ejpam-6005	122	23	c	c	NOUN
ejpam-6005	122	24	)	)	PUNCT
ejpam-6005	122	25	|	|	ADV
ejpam-6005	122	26	=	=	NOUN
ejpam-6005	122	27	|ϕe	|ϕe	X
ejpam-6005	122	28	−	−	PROPN
ejpam-6005	122	29	(	(	PUNCT
ejpam-6005	122	30	γ1	γ1	PROPN
ejpam-6005	122	31	+	+	CCONJ
ejpam-6005	122	32	vf	vf	X
ejpam-6005	122	33	+	+	NUM
ejpam-6005	122	34	d0	d0	NOUN
ejpam-6005	122	35	+	+	CCONJ
ejpam-6005	122	36	c1)if	c1)if	NOUN
ejpam-6005	122	37	|	|	ADV
ejpam-6005	122	38	,	,	PUNCT
ejpam-6005	122	39	≤ϕh2	≤ϕh2	PROPN
ejpam-6005	122	40	+	+	CCONJ
ejpam-6005	122	41	(	(	PUNCT
ejpam-6005	122	42	γ1	γ1	PROPN
ejpam-6005	122	43	+	+	CCONJ
ejpam-6005	122	44	vf	vf	X
ejpam-6005	122	45	+	+	NUM
ejpam-6005	122	46	d0	d0	NOUN
ejpam-6005	122	47	+	+	CCONJ
ejpam-6005	122	48	c1)h3	c1)h3	ADV
ejpam-6005	122	49	<	<	X
ejpam-6005	122	50	∞.	∞.	PROPN
ejpam-6005	122	51	(	(	PUNCT
ejpam-6005	122	52	7	7	NUM
ejpam-6005	122	53	)	)	PUNCT
ejpam-6005	122	54	|g4	|g4	NOUN
ejpam-6005	122	55	(	(	PUNCT
ejpam-6005	122	56	t	t	PROPN
ejpam-6005	122	57	,	,	PUNCT
ejpam-6005	122	58	s	s	X
ejpam-6005	122	59	,	,	PUNCT
ejpam-6005	122	60	e	e	X
ejpam-6005	122	61	,	,	PUNCT
ejpam-6005	122	62	if	if	SCONJ
ejpam-6005	122	63	,	,	PUNCT
ejpam-6005	122	64	ic	ic	PROPN
ejpam-6005	122	65	,	,	PUNCT
ejpam-6005	122	66	v	v	NOUN
ejpam-6005	122	67	,	,	PUNCT
ejpam-6005	122	68	r	r	NOUN
ejpam-6005	122	69	,	,	PUNCT
ejpam-6005	122	70	c	c	NOUN
ejpam-6005	122	71	)	)	PUNCT
ejpam-6005	122	72	|	|	ADV
ejpam-6005	122	73	=	=	NOUN
ejpam-6005	122	74	|ηe	|ηe	NOUN
ejpam-6005	122	75	−	−	PROPN
ejpam-6005	122	76	(	(	PUNCT
ejpam-6005	122	77	γ2	γ2	PROPN
ejpam-6005	122	78	+	+	CCONJ
ejpam-6005	122	79	vc	vc	PROPN
ejpam-6005	122	80	+	+	CCONJ
ejpam-6005	122	81	d0	d0	NOUN
ejpam-6005	122	82	+	+	CCONJ
ejpam-6005	122	83	c2)ic|	c2)ic|	PROPN
ejpam-6005	122	84	,	,	PUNCT
ejpam-6005	122	85	≤ηh2	≤ηh2	PROPN
ejpam-6005	122	86	+	+	CCONJ
ejpam-6005	122	87	(	(	PUNCT
ejpam-6005	122	88	γ2	γ2	NOUN
ejpam-6005	122	89	+	+	CCONJ
ejpam-6005	122	90	vc	vc	PROPN
ejpam-6005	122	91	+	+	CCONJ
ejpam-6005	122	92	d0	d0	NOUN
ejpam-6005	122	93	+	+	CCONJ
ejpam-6005	122	94	c2)h4	c2)h4	NOUN
ejpam-6005	122	95	<	<	X
ejpam-6005	122	96	∞.	∞.	PROPN
ejpam-6005	122	97	(	(	PUNCT
ejpam-6005	122	98	8)	8)	NUM
ejpam-6005	122	99	|g5	|g5	PROPN
ejpam-6005	122	100	(	(	PUNCT
ejpam-6005	122	101	t	t	PROPN
ejpam-6005	122	102	,	,	PUNCT
ejpam-6005	122	103	s	s	X
ejpam-6005	122	104	,	,	PUNCT
ejpam-6005	122	105	e	e	X
ejpam-6005	122	106	,	,	PUNCT
ejpam-6005	122	107	if	if	SCONJ
ejpam-6005	122	108	,	,	PUNCT
ejpam-6005	122	109	ic	ic	PROPN
ejpam-6005	122	110	,	,	PUNCT
ejpam-6005	122	111	v	v	NOUN
ejpam-6005	122	112	,	,	PUNCT
ejpam-6005	122	113	r	r	NOUN
ejpam-6005	122	114	,	,	PUNCT
ejpam-6005	122	115	c	c	NOUN
ejpam-6005	122	116	)	)	PUNCT
ejpam-6005	122	117	|	|	ADV
ejpam-6005	123	1	=	=	NUM
ejpam-6005	123	2	|vfif	|vfif	PROPN
ejpam-6005	123	3	+	+	NUM
ejpam-6005	123	4	vcic	vcic	NOUN
ejpam-6005	123	5	−	−	PROPN
ejpam-6005	123	6	γ3v|	γ3v|	NOUN
ejpam-6005	123	7	,	,	PUNCT
ejpam-6005	123	8	≤vfh3	≤vfh3	PROPN
ejpam-6005	123	9	+	+	CCONJ
ejpam-6005	123	10	vch4	vch4	NOUN
ejpam-6005	123	11	+	+	CCONJ
ejpam-6005	123	12	γ3h5	γ3h5	X
ejpam-6005	123	13	<	<	X
ejpam-6005	123	14	∞.	∞.	PROPN
ejpam-6005	123	15	(	(	PUNCT
ejpam-6005	123	16	9	9	NUM
ejpam-6005	123	17	)	)	PUNCT
ejpam-6005	123	18	|g6	|g6	NOUN
ejpam-6005	123	19	(	(	PUNCT
ejpam-6005	123	20	t	t	PROPN
ejpam-6005	123	21	,	,	PUNCT
ejpam-6005	123	22	s	s	X
ejpam-6005	123	23	,	,	PUNCT
ejpam-6005	123	24	e	e	X
ejpam-6005	123	25	,	,	PUNCT
ejpam-6005	123	26	if	if	SCONJ
ejpam-6005	123	27	,	,	PUNCT
ejpam-6005	123	28	ic	ic	PROPN
ejpam-6005	123	29	,	,	PUNCT
ejpam-6005	123	30	v	v	NOUN
ejpam-6005	123	31	,	,	PUNCT
ejpam-6005	123	32	r	r	NOUN
ejpam-6005	123	33	,	,	PUNCT
ejpam-6005	123	34	c	c	NOUN
ejpam-6005	123	35	)	)	PUNCT
ejpam-6005	123	36	|	|	ADV
ejpam-6005	123	37	=	=	PRON
ejpam-6005	123	38	|γ1if	|γ1if	X
ejpam-6005	123	39	+	+	PUNCT
ejpam-6005	123	40	γ2ic	γ2ic	PUNCT
ejpam-6005	124	1	+	+	CCONJ
ejpam-6005	124	2	γ3v	γ3v	PROPN
ejpam-6005	124	3	−	−	PROPN
ejpam-6005	124	4	(	(	PUNCT
ejpam-6005	124	5	r	r	NOUN
ejpam-6005	124	6	+	+	CCONJ
ejpam-6005	124	7	d0)r|	d0)r|	VERB
ejpam-6005	124	8	,	,	PUNCT
ejpam-6005	124	9	≤γ1h3	≤γ1h3	PUNCT
ejpam-6005	125	1	+	+	CCONJ
ejpam-6005	125	2	γ2h4	γ2h4	NUM
ejpam-6005	125	3	+	+	X
ejpam-6005	125	4	γ3h5	γ3h5	X
ejpam-6005	125	5	+	+	CCONJ
ejpam-6005	125	6	(	(	PUNCT
ejpam-6005	125	7	r	r	NOUN
ejpam-6005	126	1	+	+	X
ejpam-6005	126	2	d0)h6	d0)h6	NOUN
ejpam-6005	126	3	<	<	X
ejpam-6005	126	4	∞.	∞.	PROPN
ejpam-6005	126	5	(	(	PUNCT
ejpam-6005	126	6	10	10	NUM
ejpam-6005	126	7	)	)	PUNCT
ejpam-6005	126	8	|g7	|g7	NOUN
ejpam-6005	126	9	(	(	PUNCT
ejpam-6005	126	10	t	t	PROPN
ejpam-6005	126	11	,	,	PUNCT
ejpam-6005	126	12	s	s	X
ejpam-6005	126	13	,	,	PUNCT
ejpam-6005	126	14	e	e	X
ejpam-6005	126	15	,	,	PUNCT
ejpam-6005	126	16	if	if	SCONJ
ejpam-6005	126	17	,	,	PUNCT
ejpam-6005	126	18	ic	ic	PROPN
ejpam-6005	126	19	,	,	PUNCT
ejpam-6005	126	20	v	v	NOUN
ejpam-6005	126	21	,	,	PUNCT
ejpam-6005	126	22	r	r	NOUN
ejpam-6005	126	23	,	,	PUNCT
ejpam-6005	126	24	c	c	NOUN
ejpam-6005	126	25	)	)	PUNCT
ejpam-6005	126	26	|	|	ADV
ejpam-6005	126	27	=	=	SYM
ejpam-6005	126	28	|c1if	|c1if	NOUN
ejpam-6005	126	29	+	+	CCONJ
ejpam-6005	126	30	c2ic|	c2ic|	PROPN
ejpam-6005	126	31	,	,	PUNCT
ejpam-6005	126	32	≤c1h3	≤c1h3	NOUN
ejpam-6005	126	33	+	+	CCONJ
ejpam-6005	126	34	c2h4	c2h4	X
ejpam-6005	126	35	<	<	X
ejpam-6005	126	36	∞.	∞.	PROPN
ejpam-6005	126	37	(	(	PUNCT
ejpam-6005	126	38	11	11	NUM
ejpam-6005	126	39	)	)	PUNCT
ejpam-6005	126	40	thus	thus	ADV
ejpam-6005	126	41	s	s	PART
ejpam-6005	126	42	,	,	PUNCT
ejpam-6005	126	43	e	e	X
ejpam-6005	126	44	,	,	PUNCT
ejpam-6005	126	45	if	if	SCONJ
ejpam-6005	126	46	,	,	PUNCT
ejpam-6005	126	47	ic	ic	PROPN
ejpam-6005	126	48	,	,	PUNCT
ejpam-6005	126	49	v	v	NOUN
ejpam-6005	126	50	,	,	PUNCT
ejpam-6005	126	51	r	r	NOUN
ejpam-6005	126	52	and	and	CCONJ
ejpam-6005	126	53	c	c	PROPN
ejpam-6005	126	54	all	all	PRON
ejpam-6005	126	55	are	be	AUX
ejpam-6005	126	56	bounded	bound	VERB
ejpam-6005	126	57	in	in	ADP
ejpam-6005	126	58	the	the	DET
ejpam-6005	126	59	given	give	VERB
ejpam-6005	126	60	region	region	NOUN
ejpam-6005	126	61	,	,	PUNCT
ejpam-6005	126	62	and	and	CCONJ
ejpam-6005	126	63	there	there	PRON
ejpam-6005	126	64	exist	exist	VERB
ejpam-6005	126	65	h1	h1	PROPN
ejpam-6005	126	66	,	,	PUNCT
ejpam-6005	126	67	h2	h2	PROPN
ejpam-6005	126	68	,	,	PUNCT
ejpam-6005	126	69	h3	h3	NOUN
ejpam-6005	126	70	,	,	PUNCT
ejpam-6005	126	71	h4	h4	NOUN
ejpam-6005	126	72	,	,	PUNCT
ejpam-6005	126	73	h5	h5	PROPN
ejpam-6005	126	74	and	and	CCONJ
ejpam-6005	126	75	h6	h6	PROPN
ejpam-6005	126	76	such	such	ADJ
ejpam-6005	126	77	that	that	DET
ejpam-6005	126	78	sup	sup	NOUN
ejpam-6005	126	79	x	x	X
ejpam-6005	126	80	|g1	|g1	PROPN
ejpam-6005	126	81	(	(	PUNCT
ejpam-6005	126	82	t	t	PROPN
ejpam-6005	126	83	,	,	PUNCT
ejpam-6005	126	84	s	s	X
ejpam-6005	126	85	,	,	PUNCT
ejpam-6005	126	86	e	e	X
ejpam-6005	126	87	,	,	PUNCT
ejpam-6005	126	88	if	if	SCONJ
ejpam-6005	126	89	,	,	PUNCT
ejpam-6005	126	90	ic	ic	PROPN
ejpam-6005	126	91	,	,	PUNCT
ejpam-6005	126	92	v	v	NOUN
ejpam-6005	126	93	,	,	PUNCT
ejpam-6005	126	94	r	r	NOUN
ejpam-6005	126	95	,	,	PUNCT
ejpam-6005	126	96	c	c	NOUN
ejpam-6005	126	97	)	)	PUNCT
ejpam-6005	127	1	|	|	ADV
ejpam-6005	127	2	<	<	X
ejpam-6005	127	3	h1	h1	PROPN
ejpam-6005	127	4	,	,	PUNCT
ejpam-6005	127	5	sup	sup	NOUN
ejpam-6005	127	6	x	x	PUNCT
ejpam-6005	127	7	|g2	|g2	PROPN
ejpam-6005	127	8	(	(	PUNCT
ejpam-6005	127	9	t	t	PROPN
ejpam-6005	127	10	,	,	PUNCT
ejpam-6005	127	11	s	s	X
ejpam-6005	127	12	,	,	PUNCT
ejpam-6005	127	13	e	e	X
ejpam-6005	127	14	,	,	PUNCT
ejpam-6005	127	15	if	if	SCONJ
ejpam-6005	127	16	,	,	PUNCT
ejpam-6005	127	17	ic	ic	PROPN
ejpam-6005	127	18	,	,	PUNCT
ejpam-6005	127	19	v	v	NOUN
ejpam-6005	127	20	,	,	PUNCT
ejpam-6005	127	21	r	r	NOUN
ejpam-6005	127	22	,	,	PUNCT
ejpam-6005	127	23	c	c	NOUN
ejpam-6005	127	24	)	)	PUNCT
ejpam-6005	128	1	|	|	ADV
ejpam-6005	128	2	<	<	X
ejpam-6005	128	3	h2	h2	NOUN
ejpam-6005	128	4	,	,	PUNCT
ejpam-6005	128	5	sup	sup	PROPN
ejpam-6005	128	6	x	x	X
ejpam-6005	128	7	|g3	|g3	PROPN
ejpam-6005	128	8	(	(	PUNCT
ejpam-6005	128	9	t	t	PROPN
ejpam-6005	128	10	,	,	PUNCT
ejpam-6005	128	11	s	s	X
ejpam-6005	128	12	,	,	PUNCT
ejpam-6005	128	13	e	e	X
ejpam-6005	128	14	,	,	PUNCT
ejpam-6005	128	15	if	if	SCONJ
ejpam-6005	128	16	,	,	PUNCT
ejpam-6005	128	17	ic	ic	PROPN
ejpam-6005	128	18	,	,	PUNCT
ejpam-6005	128	19	v	v	NOUN
ejpam-6005	128	20	,	,	PUNCT
ejpam-6005	128	21	r	r	NOUN
ejpam-6005	128	22	,	,	PUNCT
ejpam-6005	128	23	c	c	NOUN
ejpam-6005	128	24	)	)	PUNCT
ejpam-6005	128	25	|	|	ADV
ejpam-6005	128	26	<	<	X
ejpam-6005	128	27	h3	h3	NOUN
ejpam-6005	128	28	,	,	PUNCT
ejpam-6005	128	29	sup	sup	PROPN
ejpam-6005	128	30	x	x	X
ejpam-6005	128	31	|g4	|g4	X
ejpam-6005	128	32	(	(	PUNCT
ejpam-6005	128	33	t	t	PROPN
ejpam-6005	128	34	,	,	PUNCT
ejpam-6005	128	35	s	s	X
ejpam-6005	128	36	,	,	PUNCT
ejpam-6005	128	37	e	e	X
ejpam-6005	128	38	,	,	PUNCT
ejpam-6005	128	39	if	if	SCONJ
ejpam-6005	128	40	,	,	PUNCT
ejpam-6005	128	41	ic	ic	PROPN
ejpam-6005	128	42	,	,	PUNCT
ejpam-6005	128	43	v	v	NOUN
ejpam-6005	128	44	,	,	PUNCT
ejpam-6005	128	45	r	r	NOUN
ejpam-6005	128	46	,	,	PUNCT
ejpam-6005	128	47	c	c	NOUN
ejpam-6005	128	48	)	)	PUNCT
ejpam-6005	129	1	|	|	ADV
ejpam-6005	129	2	<	<	X
ejpam-6005	129	3	h4	h4	PROPN
ejpam-6005	129	4	,	,	PUNCT
ejpam-6005	129	5	sup	sup	NOUN
ejpam-6005	129	6	x	x	X
ejpam-6005	129	7	|g5	|g5	PROPN
ejpam-6005	129	8	(	(	PUNCT
ejpam-6005	129	9	t	t	PROPN
ejpam-6005	129	10	,	,	PUNCT
ejpam-6005	129	11	s	s	X
ejpam-6005	129	12	,	,	PUNCT
ejpam-6005	129	13	e	e	X
ejpam-6005	129	14	,	,	PUNCT
ejpam-6005	129	15	if	if	SCONJ
ejpam-6005	129	16	,	,	PUNCT
ejpam-6005	129	17	ic	ic	PROPN
ejpam-6005	129	18	,	,	PUNCT
ejpam-6005	129	19	v	v	NOUN
ejpam-6005	129	20	,	,	PUNCT
ejpam-6005	129	21	r	r	NOUN
ejpam-6005	129	22	,	,	PUNCT
ejpam-6005	129	23	c	c	NOUN
ejpam-6005	129	24	)	)	PUNCT
ejpam-6005	130	1	|	|	ADV
ejpam-6005	130	2	<	<	X
ejpam-6005	130	3	h5	h5	PROPN
ejpam-6005	130	4	,	,	PUNCT
ejpam-6005	130	5	sup	sup	NOUN
ejpam-6005	130	6	x	x	SYM
ejpam-6005	130	7	|g6	|g6	NUM
ejpam-6005	130	8	(	(	PUNCT
ejpam-6005	130	9	t	t	PROPN
ejpam-6005	130	10	,	,	PUNCT
ejpam-6005	130	11	s	s	X
ejpam-6005	130	12	,	,	PUNCT
ejpam-6005	130	13	e	e	X
ejpam-6005	130	14	,	,	PUNCT
ejpam-6005	130	15	if	if	SCONJ
ejpam-6005	130	16	,	,	PUNCT
ejpam-6005	130	17	ic	ic	PROPN
ejpam-6005	130	18	,	,	PUNCT
ejpam-6005	130	19	v	v	NOUN
ejpam-6005	130	20	,	,	PUNCT
ejpam-6005	130	21	r	r	NOUN
ejpam-6005	130	22	,	,	PUNCT
ejpam-6005	130	23	c	c	NOUN
ejpam-6005	130	24	)	)	PUNCT
ejpam-6005	131	1	|	|	ADV
ejpam-6005	131	2	<	<	X
ejpam-6005	131	3	h6	h6	PROPN
ejpam-6005	131	4	.	.	PUNCT
ejpam-6005	132	1	sup	sup	NOUN
ejpam-6005	132	2	x	x	SYM
ejpam-6005	132	3	|g7	|g7	X
ejpam-6005	132	4	(	(	PUNCT
ejpam-6005	132	5	t	t	PROPN
ejpam-6005	132	6	,	,	PUNCT
ejpam-6005	132	7	s	s	X
ejpam-6005	132	8	,	,	PUNCT
ejpam-6005	132	9	e	e	X
ejpam-6005	132	10	,	,	PUNCT
ejpam-6005	132	11	if	if	SCONJ
ejpam-6005	132	12	,	,	PUNCT
ejpam-6005	132	13	ic	ic	PROPN
ejpam-6005	132	14	,	,	PUNCT
ejpam-6005	132	15	v	v	NOUN
ejpam-6005	132	16	,	,	PUNCT
ejpam-6005	132	17	r	r	NOUN
ejpam-6005	132	18	,	,	PUNCT
ejpam-6005	132	19	c	c	NOUN
ejpam-6005	132	20	)	)	PUNCT
ejpam-6005	132	21	|	|	ADV
ejpam-6005	132	22	<	<	X
ejpam-6005	132	23	h7	h7	PROPN
ejpam-6005	132	24	.	.	PUNCT
ejpam-6005	133	1	now	now	ADV
ejpam-6005	133	2	,	,	PUNCT
ejpam-6005	133	3	we	we	PRON
ejpam-6005	133	4	are	be	AUX
ejpam-6005	133	5	going	go	VERB
ejpam-6005	133	6	to	to	PART
ejpam-6005	133	7	prove	prove	VERB
ejpam-6005	133	8	that	that	SCONJ
ejpam-6005	133	9	,	,	PUNCT
ejpam-6005	133	10	|g1	|g1	PROPN
ejpam-6005	133	11	(	(	PUNCT
ejpam-6005	133	12	t	t	PROPN
ejpam-6005	133	13	,	,	PUNCT
ejpam-6005	133	14	s2	s2	PROPN
ejpam-6005	133	15	,	,	PUNCT
ejpam-6005	133	16	e	e	X
ejpam-6005	133	17	,	,	PUNCT
ejpam-6005	133	18	if	if	SCONJ
ejpam-6005	133	19	,	,	PUNCT
ejpam-6005	133	20	ic	ic	PROPN
ejpam-6005	133	21	,	,	PUNCT
ejpam-6005	133	22	v	v	NOUN
ejpam-6005	133	23	,	,	PUNCT
ejpam-6005	133	24	r	r	NOUN
ejpam-6005	133	25	,	,	PUNCT
ejpam-6005	133	26	c)−	c)−	PROPN
ejpam-6005	133	27	g1	g1	PROPN
ejpam-6005	133	28	(	(	PUNCT
ejpam-6005	133	29	t	t	PROPN
ejpam-6005	133	30	,	,	PUNCT
ejpam-6005	133	31	s1	s1	NOUN
ejpam-6005	133	32	,	,	PUNCT
ejpam-6005	133	33	e	e	NOUN
ejpam-6005	133	34	,	,	PUNCT
ejpam-6005	133	35	if	if	SCONJ
ejpam-6005	133	36	,	,	PUNCT
ejpam-6005	133	37	ic	ic	PROPN
ejpam-6005	133	38	,	,	PUNCT
ejpam-6005	133	39	v	v	NOUN
ejpam-6005	133	40	,	,	PUNCT
ejpam-6005	133	41	r	r	NOUN
ejpam-6005	133	42	,	,	PUNCT
ejpam-6005	133	43	c	c	NOUN
ejpam-6005	133	44	)	)	PUNCT
ejpam-6005	134	1	|	|	ADV
ejpam-6005	134	2	=	=	PUNCT
ejpam-6005	135	1	|b−ks2i(βi	|b−ks2i(βi	ADV
ejpam-6005	135	2	+	+	PROPN
ejpam-6005	136	1	1)−	1)−	NUM
ejpam-6005	136	2	d0s2	d0s2	ADJ
ejpam-6005	136	3	+	+	CCONJ
ejpam-6005	136	4	rr−	rr−	PROPN
ejpam-6005	136	5	(	(	PUNCT
ejpam-6005	136	6	b−ks1i(βi	b−ks1i(βi	NUM
ejpam-6005	136	7	+	+	PROPN
ejpam-6005	136	8	1)−	1)−	PROPN
ejpam-6005	137	1	d0s1	d0s1	PROPN
ejpam-6005	137	2	+	+	NUM
ejpam-6005	137	3	rr)|	rr)|	NOUN
ejpam-6005	137	4	<	<	X
ejpam-6005	137	5	(	(	PUNCT
ejpam-6005	137	6	ki(βi	ki(βi	PROPN
ejpam-6005	137	7	+	+	CCONJ
ejpam-6005	137	8	1	1	NUM
ejpam-6005	137	9	)	)	PUNCT
ejpam-6005	138	1	+	+	CCONJ
ejpam-6005	138	2	d0)|s2	d0)|s2	PROPN
ejpam-6005	138	3	−	−	PROPN
ejpam-6005	138	4	s1|	s1|	PROPN
ejpam-6005	138	5	<	<	X
ejpam-6005	138	6	p1|s2	p1|s2	NOUN
ejpam-6005	138	7	−	−	PROPN
ejpam-6005	138	8	s1|	s1|	PROPN
ejpam-6005	138	9	.	.	PUNCT
ejpam-6005	139	1	(	(	PUNCT
ejpam-6005	139	2	12	12	NUM
ejpam-6005	139	3	)	)	PUNCT
ejpam-6005	139	4	r.	r.	PROPN
ejpam-6005	139	5	ud	ud	PROPN
ejpam-6005	139	6	din	din	PROPN
ejpam-6005	139	7	,	,	PUNCT
ejpam-6005	139	8	m.	m.	PROPN
ejpam-6005	139	9	s.	s.	PROPN
ejpam-6005	139	10	arif	arif	PROPN
ejpam-6005	139	11	/	/	SYM
ejpam-6005	139	12	eur	eur	PROPN
ejpam-6005	139	13	.	.	PUNCT
ejpam-6005	140	1	j.	j.	PROPN
ejpam-6005	140	2	pure	pure	PROPN
ejpam-6005	140	3	appl	appl	PROPN
ejpam-6005	140	4	.	.	PROPN
ejpam-6005	140	5	math	math	PROPN
ejpam-6005	140	6	,	,	PUNCT
ejpam-6005	140	7	18	18	NUM
ejpam-6005	140	8	(	(	PUNCT
ejpam-6005	140	9	2	2	NUM
ejpam-6005	140	10	)	)	PUNCT
ejpam-6005	140	11	(	(	PUNCT
ejpam-6005	140	12	2025	2025	NUM
ejpam-6005	140	13	)	)	PUNCT
ejpam-6005	140	14	,	,	PUNCT
ejpam-6005	140	15	6005	6005	NUM
ejpam-6005	140	16	8	8	NUM
ejpam-6005	140	17	of	of	ADP
ejpam-6005	140	18	27	27	NUM
ejpam-6005	140	19	where	where	SCONJ
ejpam-6005	140	20	p1	p1	NOUN
ejpam-6005	140	21	=	=	SYM
ejpam-6005	140	22	(	(	PUNCT
ejpam-6005	140	23	ki(βi	ki(βi	PROPN
ejpam-6005	140	24	+	+	CCONJ
ejpam-6005	140	25	1	1	NUM
ejpam-6005	140	26	)	)	PUNCT
ejpam-6005	140	27	+	+	NUM
ejpam-6005	140	28	d0	d0	NOUN
ejpam-6005	140	29	)	)	PUNCT
ejpam-6005	140	30	.	.	PUNCT
ejpam-6005	141	1	follow	follow	VERB
ejpam-6005	141	2	the	the	DET
ejpam-6005	141	3	similar	similar	ADJ
ejpam-6005	141	4	method	method	NOUN
ejpam-6005	141	5	,	,	PUNCT
ejpam-6005	141	6	we	we	PRON
ejpam-6005	141	7	get	get	VERB
ejpam-6005	141	8	|g2	|g2	NOUN
ejpam-6005	141	9	(	(	PUNCT
ejpam-6005	141	10	t	t	PROPN
ejpam-6005	141	11	,	,	PUNCT
ejpam-6005	141	12	s	s	PROPN
ejpam-6005	141	13	,	,	PUNCT
ejpam-6005	141	14	e2	e2	PROPN
ejpam-6005	141	15	,	,	PUNCT
ejpam-6005	141	16	if	if	SCONJ
ejpam-6005	141	17	,	,	PUNCT
ejpam-6005	141	18	ic	ic	PROPN
ejpam-6005	141	19	,	,	PUNCT
ejpam-6005	141	20	v	v	NOUN
ejpam-6005	141	21	,	,	PUNCT
ejpam-6005	141	22	r	r	NOUN
ejpam-6005	141	23	,	,	PUNCT
ejpam-6005	141	24	c)−	c)−	PROPN
ejpam-6005	141	25	g2	g2	PROPN
ejpam-6005	141	26	(	(	PUNCT
ejpam-6005	141	27	t	t	PROPN
ejpam-6005	141	28	,	,	PUNCT
ejpam-6005	141	29	s	s	PROPN
ejpam-6005	141	30	,	,	PUNCT
ejpam-6005	141	31	e1	e1	NOUN
ejpam-6005	141	32	,	,	PUNCT
ejpam-6005	141	33	if	if	SCONJ
ejpam-6005	141	34	,	,	PUNCT
ejpam-6005	141	35	ic	ic	PROPN
ejpam-6005	141	36	,	,	PUNCT
ejpam-6005	141	37	v	v	NOUN
ejpam-6005	141	38	,	,	PUNCT
ejpam-6005	141	39	r	r	NOUN
ejpam-6005	141	40	,	,	PUNCT
ejpam-6005	141	41	c	c	NOUN
ejpam-6005	141	42	)	)	PUNCT
ejpam-6005	141	43	|	|	ADV
ejpam-6005	141	44	<	<	X
ejpam-6005	141	45	p2|e2	p2|e2	NOUN
ejpam-6005	142	1	−	−	PROPN
ejpam-6005	142	2	e1|	e1|	NOUN
ejpam-6005	142	3	,	,	PUNCT
ejpam-6005	142	4	|g3	|g3	PROPN
ejpam-6005	142	5	(	(	PUNCT
ejpam-6005	142	6	t	t	PROPN
ejpam-6005	142	7	,	,	PUNCT
ejpam-6005	142	8	s	s	X
ejpam-6005	142	9	,	,	PUNCT
ejpam-6005	142	10	e	e	NOUN
ejpam-6005	142	11	,	,	PUNCT
ejpam-6005	142	12	ig2	ig2	PROPN
ejpam-6005	142	13	,	,	PUNCT
ejpam-6005	142	14	i⌋,v	i⌋,v	ADJ
ejpam-6005	142	15	,	,	PUNCT
ejpam-6005	142	16	r	r	NOUN
ejpam-6005	142	17	,	,	PUNCT
ejpam-6005	142	18	c	c	NOUN
ejpam-6005	142	19	)	)	PUNCT
ejpam-6005	143	1	−	−	PROPN
ejpam-6005	144	1	f3	f3	PROPN
ejpam-6005	144	2	(	(	PUNCT
ejpam-6005	144	3	t	t	PROPN
ejpam-6005	144	4	,	,	PUNCT
ejpam-6005	144	5	s	s	X
ejpam-6005	144	6	,	,	PUNCT
ejpam-6005	144	7	e	e	X
ejpam-6005	144	8	,	,	PUNCT
ejpam-6005	144	9	ig1	ig1	PROPN
ejpam-6005	144	10	,	,	PUNCT
ejpam-6005	144	11	ic	ic	PROPN
ejpam-6005	144	12	,	,	PUNCT
ejpam-6005	144	13	v	v	NOUN
ejpam-6005	144	14	,	,	PUNCT
ejpam-6005	144	15	r	r	NOUN
ejpam-6005	144	16	,	,	PUNCT
ejpam-6005	144	17	c	c	NOUN
ejpam-6005	144	18	)	)	PUNCT
ejpam-6005	145	1	|	|	ADV
ejpam-6005	145	2	<	<	X
ejpam-6005	145	3	p3|ig2	p3|ig2	NOUN
ejpam-6005	145	4	−	−	PROPN
ejpam-6005	145	5	ig1	ig1	NOUN
ejpam-6005	145	6	|	|	NOUN
ejpam-6005	145	7	,	,	PUNCT
ejpam-6005	145	8	|g4	|g4	X
ejpam-6005	145	9	(	(	PUNCT
ejpam-6005	145	10	t	t	PROPN
ejpam-6005	145	11	,	,	PUNCT
ejpam-6005	145	12	s	s	X
ejpam-6005	145	13	,	,	PUNCT
ejpam-6005	145	14	e	e	X
ejpam-6005	145	15	,	,	PUNCT
ejpam-6005	145	16	if	if	SCONJ
ejpam-6005	145	17	,	,	PUNCT
ejpam-6005	145	18	ic2	ic2	PROPN
ejpam-6005	145	19	,	,	PUNCT
ejpam-6005	145	20	v	v	NOUN
ejpam-6005	145	21	,	,	PUNCT
ejpam-6005	145	22	r	r	NOUN
ejpam-6005	145	23	,	,	PUNCT
ejpam-6005	145	24	c)−	c)−	PROPN
ejpam-6005	145	25	f4	f4	PROPN
ejpam-6005	145	26	(	(	PUNCT
ejpam-6005	145	27	t	t	PROPN
ejpam-6005	145	28	,	,	PUNCT
ejpam-6005	145	29	s	s	X
ejpam-6005	145	30	,	,	PUNCT
ejpam-6005	145	31	e	e	X
ejpam-6005	145	32	,	,	PUNCT
ejpam-6005	145	33	if	if	SCONJ
ejpam-6005	145	34	,	,	PUNCT
ejpam-6005	145	35	ic1	ic1	INTJ
ejpam-6005	145	36	,	,	PUNCT
ejpam-6005	145	37	v	v	NOUN
ejpam-6005	145	38	,	,	PUNCT
ejpam-6005	145	39	r	r	NOUN
ejpam-6005	145	40	,	,	PUNCT
ejpam-6005	145	41	c	c	NOUN
ejpam-6005	145	42	)	)	PUNCT
ejpam-6005	146	1	|	|	ADV
ejpam-6005	146	2	<	<	X
ejpam-6005	146	3	p4|ic2	p4|ic2	PROPN
ejpam-6005	146	4	−	−	PROPN
ejpam-6005	146	5	ic1	ic1	ADJ
ejpam-6005	146	6	|	|	ADV
ejpam-6005	146	7	,	,	PUNCT
ejpam-6005	146	8	|g5	|g5	PROPN
ejpam-6005	146	9	(	(	PUNCT
ejpam-6005	146	10	t	t	PROPN
ejpam-6005	146	11	,	,	PUNCT
ejpam-6005	146	12	s	s	X
ejpam-6005	146	13	,	,	PUNCT
ejpam-6005	146	14	e	e	X
ejpam-6005	146	15	,	,	PUNCT
ejpam-6005	146	16	if	if	SCONJ
ejpam-6005	146	17	,	,	PUNCT
ejpam-6005	146	18	ic	ic	PROPN
ejpam-6005	146	19	,	,	PUNCT
ejpam-6005	146	20	v	v	NOUN
ejpam-6005	146	21	,	,	PUNCT
ejpam-6005	146	22	r	r	NOUN
ejpam-6005	146	23	,	,	PUNCT
ejpam-6005	146	24	c2)−	c2)−	VERB
ejpam-6005	146	25	f5	f5	PROPN
ejpam-6005	146	26	(	(	PUNCT
ejpam-6005	146	27	t	t	PROPN
ejpam-6005	146	28	,	,	PUNCT
ejpam-6005	146	29	s	s	X
ejpam-6005	146	30	,	,	PUNCT
ejpam-6005	146	31	e	e	X
ejpam-6005	146	32	,	,	PUNCT
ejpam-6005	146	33	if	if	SCONJ
ejpam-6005	146	34	,	,	PUNCT
ejpam-6005	146	35	ic	ic	PROPN
ejpam-6005	146	36	,	,	PUNCT
ejpam-6005	146	37	v	v	NOUN
ejpam-6005	146	38	,	,	PUNCT
ejpam-6005	146	39	r	r	NOUN
ejpam-6005	146	40	,	,	PUNCT
ejpam-6005	146	41	c1	c1	NOUN
ejpam-6005	146	42	)	)	PUNCT
ejpam-6005	147	1	|	|	ADV
ejpam-6005	147	2	<	<	X
ejpam-6005	147	3	p5|c2	p5|c2	PROPN
ejpam-6005	147	4	−	−	PROPN
ejpam-6005	147	5	c1|	c1|	PROPN
ejpam-6005	147	6	.	.	PUNCT
ejpam-6005	147	7	|g6	|g6	PROPN
ejpam-6005	147	8	(	(	PUNCT
ejpam-6005	147	9	t	t	PROPN
ejpam-6005	147	10	,	,	PUNCT
ejpam-6005	147	11	s	s	X
ejpam-6005	147	12	,	,	PUNCT
ejpam-6005	148	1	e	e	X
ejpam-6005	148	2	,	,	PUNCT
ejpam-6005	148	3	if	if	SCONJ
ejpam-6005	148	4	,	,	PUNCT
ejpam-6005	148	5	ic	ic	PROPN
ejpam-6005	148	6	,	,	PUNCT
ejpam-6005	148	7	v2,r	v2,r	PROPN
ejpam-6005	148	8	,	,	PUNCT
ejpam-6005	148	9	c)−	c)−	PROPN
ejpam-6005	148	10	f6	f6	PROPN
ejpam-6005	148	11	(	(	PUNCT
ejpam-6005	148	12	t	t	PROPN
ejpam-6005	148	13	,	,	PUNCT
ejpam-6005	148	14	s	s	X
ejpam-6005	148	15	,	,	PUNCT
ejpam-6005	148	16	e	e	X
ejpam-6005	148	17	,	,	PUNCT
ejpam-6005	148	18	if	if	SCONJ
ejpam-6005	148	19	,	,	PUNCT
ejpam-6005	148	20	ic	ic	PROPN
ejpam-6005	148	21	,	,	PUNCT
ejpam-6005	148	22	v2,r	v2,r	PROPN
ejpam-6005	148	23	,	,	PUNCT
ejpam-6005	148	24	c	c	NOUN
ejpam-6005	148	25	)	)	PUNCT
ejpam-6005	148	26	|	|	ADV
ejpam-6005	148	27	<	<	X
ejpam-6005	148	28	p6|v2	p6|v2	X
ejpam-6005	148	29	−	−	PROPN
ejpam-6005	148	30	v1|	v1|	ADJ
ejpam-6005	148	31	,	,	PUNCT
ejpam-6005	148	32	|g7	|g7	NOUN
ejpam-6005	148	33	(	(	PUNCT
ejpam-6005	148	34	t	t	PROPN
ejpam-6005	148	35	,	,	PUNCT
ejpam-6005	148	36	s	s	X
ejpam-6005	148	37	,	,	PUNCT
ejpam-6005	148	38	e	e	X
ejpam-6005	148	39	,	,	PUNCT
ejpam-6005	148	40	if	if	SCONJ
ejpam-6005	148	41	,	,	PUNCT
ejpam-6005	148	42	ic	ic	PROPN
ejpam-6005	148	43	,	,	PUNCT
ejpam-6005	148	44	v	v	NOUN
ejpam-6005	148	45	,	,	PUNCT
ejpam-6005	148	46	r2	r2	PROPN
ejpam-6005	148	47	,	,	PUNCT
ejpam-6005	148	48	c)−	c)−	PROPN
ejpam-6005	148	49	f7	f7	PROPN
ejpam-6005	148	50	(	(	PUNCT
ejpam-6005	148	51	t	t	PROPN
ejpam-6005	148	52	,	,	PUNCT
ejpam-6005	148	53	s	s	X
ejpam-6005	148	54	,	,	PUNCT
ejpam-6005	148	55	e	e	X
ejpam-6005	148	56	,	,	PUNCT
ejpam-6005	148	57	if	if	SCONJ
ejpam-6005	148	58	,	,	PUNCT
ejpam-6005	148	59	ic	ic	PROPN
ejpam-6005	148	60	,	,	PUNCT
ejpam-6005	148	61	v	v	PROPN
ejpam-6005	148	62	,	,	PUNCT
ejpam-6005	148	63	r1	r1	NOUN
ejpam-6005	148	64	,	,	PUNCT
ejpam-6005	148	65	c	c	NOUN
ejpam-6005	148	66	)	)	PUNCT
ejpam-6005	149	1	|	|	ADV
ejpam-6005	149	2	<	<	X
ejpam-6005	149	3	p7|r2	p7|r2	ADP
ejpam-6005	149	4	−r1|	−r1|	PROPN
ejpam-6005	149	5	.	.	PUNCT
ejpam-6005	149	6	where	where	SCONJ
ejpam-6005	149	7	p2	p2	PROPN
ejpam-6005	149	8	=	=	SYM
ejpam-6005	149	9	d0	d0	PROPN
ejpam-6005	149	10	+	+	CCONJ
ejpam-6005	149	11	ϕ+	ϕ+	PROPN
ejpam-6005	149	12	η	η	PROPN
ejpam-6005	149	13	,	,	PUNCT
ejpam-6005	149	14	p3	p3	PROPN
ejpam-6005	149	15	=	=	SYM
ejpam-6005	149	16	γ1	γ1	PROPN
ejpam-6005	149	17	+	+	CCONJ
ejpam-6005	149	18	vf	vf	X
ejpam-6005	149	19	+	+	CCONJ
ejpam-6005	149	20	d0	d0	NOUN
ejpam-6005	149	21	+	+	CCONJ
ejpam-6005	149	22	c1	c1	NOUN
ejpam-6005	149	23	,	,	PUNCT
ejpam-6005	149	24	p4	p4	ADJ
ejpam-6005	149	25	=	=	SYM
ejpam-6005	149	26	γ2	γ2	NOUN
ejpam-6005	149	27	+	+	CCONJ
ejpam-6005	149	28	vc	vc	PROPN
ejpam-6005	149	29	+	+	CCONJ
ejpam-6005	149	30	d0	d0	PROPN
ejpam-6005	149	31	+	+	CCONJ
ejpam-6005	149	32	c2	c2	PROPN
ejpam-6005	149	33	,	,	PUNCT
ejpam-6005	149	34	p5	p5	ADJ
ejpam-6005	149	35	=	=	SYM
ejpam-6005	149	36	d0	d0	PROPN
ejpam-6005	149	37	+	+	CCONJ
ejpam-6005	149	38	v3	v3	PROPN
ejpam-6005	149	39	p6	p6	NOUN
ejpam-6005	149	40	=	=	PROPN
ejpam-6005	149	41	γ3	γ3	NOUN
ejpam-6005	149	42	+	+	CCONJ
ejpam-6005	149	43	d0	d0	NOUN
ejpam-6005	149	44	,	,	PUNCT
ejpam-6005	149	45	p7	p7	NOUN
ejpam-6005	149	46	=	=	SYM
ejpam-6005	149	47	r	r	NOUN
ejpam-6005	149	48	+	+	NUM
ejpam-6005	149	49	d0	d0	NOUN
ejpam-6005	149	50	.	.	PUNCT
ejpam-6005	150	1	this	this	DET
ejpam-6005	150	2	uniqueness	uniqueness	NOUN
ejpam-6005	150	3	and	and	CCONJ
ejpam-6005	150	4	existence	existence	NOUN
ejpam-6005	150	5	show	show	VERB
ejpam-6005	150	6	that	that	SCONJ
ejpam-6005	150	7	the	the	DET
ejpam-6005	150	8	system	system	NOUN
ejpam-6005	150	9	(	(	PUNCT
ejpam-6005	150	10	1	1	X
ejpam-6005	150	11	)	)	PUNCT
ejpam-6005	150	12	has	have	VERB
ejpam-6005	150	13	a	a	DET
ejpam-6005	150	14	unique	unique	ADJ
ejpam-6005	150	15	set	set	NOUN
ejpam-6005	150	16	of	of	ADP
ejpam-6005	150	17	solutions	solution	NOUN
ejpam-6005	150	18	.	.	PUNCT
ejpam-6005	151	1	3.2	3.2	NUM
ejpam-6005	151	2	.	.	PUNCT
ejpam-6005	151	3	disease	disease	NOUN
ejpam-6005	151	4	free	free	ADJ
ejpam-6005	151	5	equilibrium	equilibrium	NOUN
ejpam-6005	151	6	points	point	NOUN
ejpam-6005	151	7	dfep	dfep	NOUN
ejpam-6005	151	8	:	:	PUNCT
ejpam-6005	151	9	p0	p0	NOUN
ejpam-6005	151	10	represent	represent	VERB
ejpam-6005	151	11	the	the	DET
ejpam-6005	151	12	dfep	dfep	NOUN
ejpam-6005	151	13	of	of	ADP
ejpam-6005	151	14	model	model	NOUN
ejpam-6005	151	15	(	(	PUNCT
ejpam-6005	151	16	1	1	NUM
ejpam-6005	151	17	)	)	PUNCT
ejpam-6005	151	18	,	,	PUNCT
ejpam-6005	151	19	which	which	PRON
ejpam-6005	151	20	is	be	AUX
ejpam-6005	151	21	equal	equal	ADJ
ejpam-6005	151	22	to	to	ADP
ejpam-6005	151	23	(	(	PUNCT
ejpam-6005	151	24	s0	s0	PROPN
ejpam-6005	151	25	,	,	PUNCT
ejpam-6005	151	26	0	0	NUM
ejpam-6005	151	27	,	,	PUNCT
ejpam-6005	151	28	0	0	NUM
ejpam-6005	151	29	,	,	PUNCT
ejpam-6005	151	30	0	0	NUM
ejpam-6005	151	31	,	,	PUNCT
ejpam-6005	151	32	0	0	NUM
ejpam-6005	151	33	,	,	PUNCT
ejpam-6005	151	34	0	0	NUM
ejpam-6005	151	35	,	,	PUNCT
ejpam-6005	151	36	0	0	NUM
ejpam-6005	151	37	)	)	PUNCT
ejpam-6005	151	38	.	.	PUNCT
ejpam-6005	152	1	may	may	AUX
ejpam-6005	152	2	be	be	AUX
ejpam-6005	152	3	write	write	ADJ
ejpam-6005	152	4	in	in	ADP
ejpam-6005	152	5	the	the	DET
ejpam-6005	152	6	following	follow	VERB
ejpam-6005	152	7	form	form	NOUN
ejpam-6005	152	8	,	,	PUNCT
ejpam-6005	152	9	p0	p0	NOUN
ejpam-6005	152	10	=	=	SYM
ejpam-6005	152	11	(	(	PUNCT
ejpam-6005	152	12	b	b	NOUN
ejpam-6005	152	13	d0	d0	NOUN
ejpam-6005	152	14	,	,	PUNCT
ejpam-6005	152	15	0	0	NUM
ejpam-6005	152	16	,	,	PUNCT
ejpam-6005	152	17	0	0	NUM
ejpam-6005	152	18	,	,	PUNCT
ejpam-6005	152	19	0	0	NUM
ejpam-6005	152	20	,	,	PUNCT
ejpam-6005	152	21	0	0	NUM
ejpam-6005	152	22	,	,	PUNCT
ejpam-6005	152	23	0	0	NUM
ejpam-6005	152	24	,	,	PUNCT
ejpam-6005	152	25	0	0	NUM
ejpam-6005	152	26	)	)	PUNCT
ejpam-6005	152	27	.	.	PUNCT
ejpam-6005	153	1	r.	r.	PROPN
ejpam-6005	153	2	ud	ud	PROPN
ejpam-6005	153	3	din	din	PROPN
ejpam-6005	153	4	,	,	PUNCT
ejpam-6005	153	5	m.	m.	PROPN
ejpam-6005	153	6	s.	s.	PROPN
ejpam-6005	153	7	arif	arif	PROPN
ejpam-6005	153	8	/	/	SYM
ejpam-6005	153	9	eur	eur	PROPN
ejpam-6005	153	10	.	.	PUNCT
ejpam-6005	154	1	j.	j.	PROPN
ejpam-6005	154	2	pure	pure	PROPN
ejpam-6005	154	3	appl	appl	PROPN
ejpam-6005	154	4	.	.	PROPN
ejpam-6005	154	5	math	math	PROPN
ejpam-6005	154	6	,	,	PUNCT
ejpam-6005	154	7	18	18	NUM
ejpam-6005	154	8	(	(	PUNCT
ejpam-6005	154	9	2	2	NUM
ejpam-6005	154	10	)	)	PUNCT
ejpam-6005	154	11	(	(	PUNCT
ejpam-6005	154	12	2025	2025	NUM
ejpam-6005	154	13	)	)	PUNCT
ejpam-6005	154	14	,	,	PUNCT
ejpam-6005	154	15	6005	6005	NUM
ejpam-6005	154	16	9	9	NUM
ejpam-6005	154	17	of	of	ADP
ejpam-6005	154	18	27	27	NUM
ejpam-6005	154	19	3.3	3.3	NUM
ejpam-6005	154	20	.	.	PUNCT
ejpam-6005	155	1	endemic	endemic	ADJ
ejpam-6005	155	2	equilibrium	equilibrium	NOUN
ejpam-6005	155	3	points	point	NOUN
ejpam-6005	155	4	eep	eep	NOUN
ejpam-6005	155	5	we	we	PRON
ejpam-6005	155	6	obtained	obtain	VERB
ejpam-6005	155	7	eep	eep	NOUN
ejpam-6005	155	8	for	for	ADP
ejpam-6005	155	9	our	our	PRON
ejpam-6005	155	10	model	model	NOUN
ejpam-6005	155	11	(	(	PUNCT
ejpam-6005	155	12	1	1	NUM
ejpam-6005	155	13	)	)	PUNCT
ejpam-6005	155	14	as	as	ADP
ejpam-6005	155	15	s∗	s∗	PROPN
ejpam-6005	155	16	=	=	SYM
ejpam-6005	155	17	b(r	b(r	NOUN
ejpam-6005	155	18	+	+	CCONJ
ejpam-6005	155	19	d0	d0	NOUN
ejpam-6005	155	20	)	)	PUNCT
ejpam-6005	156	1	+	+	CCONJ
ejpam-6005	156	2	r	r	NOUN
ejpam-6005	156	3	[	[	PUNCT
ejpam-6005	156	4	(	(	PUNCT
ejpam-6005	156	5	γ1	γ1	NOUN
ejpam-6005	156	6	+	+	CCONJ
ejpam-6005	156	7	vf	vf	X
ejpam-6005	156	8	)	)	PUNCT
ejpam-6005	156	9	i∗	i∗	NOUN
ejpam-6005	156	10	f	f	PROPN
ejpam-6005	156	11	+	+	CCONJ
ejpam-6005	156	12	(	(	PUNCT
ejpam-6005	156	13	γ2	γ2	PROPN
ejpam-6005	156	14	+	+	CCONJ
ejpam-6005	156	15	vc)i∗	vc)i∗	PROPN
ejpam-6005	156	16	c	c	PROPN
ejpam-6005	156	17	]	]	PUNCT
ejpam-6005	156	18	(	(	PUNCT
ejpam-6005	156	19	r	r	NOUN
ejpam-6005	156	20	+	+	NUM
ejpam-6005	156	21	d0)(ki∗(βi∗	d0)(ki∗(βi∗	NOUN
ejpam-6005	156	22	+	+	X
ejpam-6005	156	23	1	1	X
ejpam-6005	156	24	)	)	PUNCT
ejpam-6005	156	25	+	+	CCONJ
ejpam-6005	156	26	d0	d0	NOUN
ejpam-6005	156	27	)	)	PUNCT
ejpam-6005	156	28	,	,	PUNCT
ejpam-6005	156	29	e∗	e∗	NOUN
ejpam-6005	156	30	=	=	SYM
ejpam-6005	156	31	ki∗(βi∗	ki∗(βi∗	PROPN
ejpam-6005	156	32	+	+	CCONJ
ejpam-6005	156	33	1)(b(r	1)(b(r	NUM
ejpam-6005	156	34	+	+	SYM
ejpam-6005	156	35	d0	d0	NOUN
ejpam-6005	156	36	)	)	PUNCT
ejpam-6005	157	1	+	+	NUM
ejpam-6005	157	2	r[(γ1	r[(γ1	NUM
ejpam-6005	157	3	+	+	CCONJ
ejpam-6005	157	4	vf	vf	X
ejpam-6005	157	5	)	)	PUNCT
ejpam-6005	157	6	i∗	i∗	NOUN
ejpam-6005	157	7	f	f	PROPN
ejpam-6005	157	8	+	+	CCONJ
ejpam-6005	157	9	(	(	PUNCT
ejpam-6005	157	10	γ2	γ2	PROPN
ejpam-6005	157	11	+	+	CCONJ
ejpam-6005	157	12	vc)i∗	vc)i∗	PROPN
ejpam-6005	157	13	c	c	NOUN
ejpam-6005	157	14	]	]	PUNCT
ejpam-6005	157	15	)	)	PUNCT
ejpam-6005	157	16	(	(	PUNCT
ejpam-6005	157	17	r	r	NOUN
ejpam-6005	157	18	+	+	NUM
ejpam-6005	157	19	d0)(d0	d0)(d0	NOUN
ejpam-6005	157	20	+	+	CCONJ
ejpam-6005	157	21	ϕ+	ϕ+	PUNCT
ejpam-6005	157	22	η	η	PROPN
ejpam-6005	157	23	)	)	PUNCT
ejpam-6005	157	24	,	,	PUNCT
ejpam-6005	157	25	i∗	i∗	NOUN
ejpam-6005	157	26	f	f	NOUN
ejpam-6005	157	27	=	=	PUNCT
ejpam-6005	157	28	ϕki∗(βi∗	ϕki∗(βi∗	NOUN
ejpam-6005	158	1	+	+	PUNCT
ejpam-6005	158	2	1)(b(r	1)(b(r	NUM
ejpam-6005	158	3	+	+	SYM
ejpam-6005	158	4	d0	d0	NOUN
ejpam-6005	158	5	)	)	PUNCT
ejpam-6005	159	1	+	+	NUM
ejpam-6005	159	2	r[(γ1	r[(γ1	NUM
ejpam-6005	159	3	+	+	CCONJ
ejpam-6005	159	4	vf	vf	X
ejpam-6005	159	5	)	)	PUNCT
ejpam-6005	159	6	i∗	i∗	NOUN
ejpam-6005	159	7	f	f	PROPN
ejpam-6005	159	8	+	+	CCONJ
ejpam-6005	159	9	(	(	PUNCT
ejpam-6005	159	10	γ2	γ2	PROPN
ejpam-6005	159	11	+	+	CCONJ
ejpam-6005	159	12	vc)i∗	vc)i∗	PROPN
ejpam-6005	159	13	c	c	NOUN
ejpam-6005	159	14	]	]	PUNCT
ejpam-6005	159	15	)	)	PUNCT
ejpam-6005	159	16	(	(	PUNCT
ejpam-6005	159	17	r	r	NOUN
ejpam-6005	159	18	+	+	NUM
ejpam-6005	159	19	d0)(d0	d0)(d0	NOUN
ejpam-6005	159	20	+	+	CCONJ
ejpam-6005	159	21	ϕ+	ϕ+	ADP
ejpam-6005	159	22	η)(γ1	η)(γ1	NOUN
ejpam-6005	159	23	+	+	CCONJ
ejpam-6005	159	24	vf	vf	X
ejpam-6005	159	25	+	+	CCONJ
ejpam-6005	159	26	d0	d0	NOUN
ejpam-6005	159	27	+	+	CCONJ
ejpam-6005	159	28	c1	c1	PROPN
ejpam-6005	159	29	)	)	PUNCT
ejpam-6005	159	30	,	,	PUNCT
ejpam-6005	159	31	i∗	i∗	NOUN
ejpam-6005	159	32	c	c	NOUN
ejpam-6005	159	33	=	=	PUNCT
ejpam-6005	159	34	ηki∗(βi∗	ηki∗(βi∗	NOUN
ejpam-6005	159	35	+	+	CCONJ
ejpam-6005	159	36	1)(b(r	1)(b(r	NUM
ejpam-6005	159	37	+	+	SYM
ejpam-6005	159	38	d0	d0	NOUN
ejpam-6005	159	39	)	)	PUNCT
ejpam-6005	159	40	+	+	NUM
ejpam-6005	159	41	r[(γ1	r[(γ1	NUM
ejpam-6005	159	42	+	+	CCONJ
ejpam-6005	159	43	vf	vf	X
ejpam-6005	159	44	)	)	PUNCT
ejpam-6005	159	45	i∗	i∗	NOUN
ejpam-6005	159	46	f	f	PROPN
ejpam-6005	159	47	+	+	CCONJ
ejpam-6005	159	48	(	(	PUNCT
ejpam-6005	159	49	γ2	γ2	PROPN
ejpam-6005	159	50	+	+	CCONJ
ejpam-6005	159	51	vc)i∗	vc)i∗	PROPN
ejpam-6005	159	52	c	c	NOUN
ejpam-6005	159	53	]	]	PUNCT
ejpam-6005	159	54	)	)	PUNCT
ejpam-6005	159	55	(	(	PUNCT
ejpam-6005	159	56	r	r	NOUN
ejpam-6005	159	57	+	+	NUM
ejpam-6005	159	58	d0)(d0	d0)(d0	NOUN
ejpam-6005	159	59	+	+	CCONJ
ejpam-6005	159	60	ϕ+	ϕ+	ADP
ejpam-6005	159	61	η)(γ2	η)(γ2	NOUN
ejpam-6005	159	62	+	+	CCONJ
ejpam-6005	159	63	vc	vc	PROPN
ejpam-6005	159	64	+	+	CCONJ
ejpam-6005	159	65	d0	d0	PROPN
ejpam-6005	159	66	+	+	CCONJ
ejpam-6005	159	67	c2	c2	PROPN
ejpam-6005	159	68	)	)	PUNCT
ejpam-6005	159	69	,	,	PUNCT
ejpam-6005	159	70	v∗	v∗	PROPN
ejpam-6005	159	71	=	=	SYM
ejpam-6005	159	72	vfi∗	vfi∗	PROPN
ejpam-6005	159	73	f	f	PROPN
ejpam-6005	159	74	+	+	CCONJ
ejpam-6005	159	75	vci∗	vci∗	PROPN
ejpam-6005	159	76	c	c	PROPN
ejpam-6005	159	77	γ3	γ3	NOUN
ejpam-6005	159	78	,	,	PUNCT
ejpam-6005	159	79	r∗	r∗	PROPN
ejpam-6005	159	80	=	=	SYM
ejpam-6005	159	81	(	(	PUNCT
ejpam-6005	159	82	γ1	γ1	PROPN
ejpam-6005	159	83	+	+	CCONJ
ejpam-6005	159	84	vf	vf	X
ejpam-6005	159	85	)	)	PUNCT
ejpam-6005	159	86	i∗	i∗	NOUN
ejpam-6005	159	87	f	f	PROPN
ejpam-6005	159	88	+	+	CCONJ
ejpam-6005	159	89	(	(	PUNCT
ejpam-6005	159	90	γ2	γ2	PROPN
ejpam-6005	159	91	+	+	CCONJ
ejpam-6005	159	92	vc)i∗	vc)i∗	PROPN
ejpam-6005	159	93	c	c	NOUN
ejpam-6005	159	94	r	r	NOUN
ejpam-6005	159	95	+	+	NUM
ejpam-6005	159	96	d0	d0	NOUN
ejpam-6005	159	97	.	.	PUNCT
ejpam-6005	160	1	(	(	PUNCT
ejpam-6005	160	2	13	13	NUM
ejpam-6005	160	3	)	)	PUNCT
ejpam-6005	160	4	3.4	3.4	NUM
ejpam-6005	160	5	.	.	PUNCT
ejpam-6005	161	1	basic	basic	ADJ
ejpam-6005	161	2	reproduction	reproduction	NOUN
ejpam-6005	161	3	number	number	NOUN
ejpam-6005	161	4	r0	r0	NOUN
ejpam-6005	161	5	in	in	ADP
ejpam-6005	161	6	epidemiology	epidemiology	NOUN
ejpam-6005	161	7	,	,	PUNCT
ejpam-6005	161	8	the	the	DET
ejpam-6005	161	9	term	term	NOUN
ejpam-6005	161	10	r0	r0	NOUN
ejpam-6005	161	11	,	,	PUNCT
ejpam-6005	161	12	or	or	CCONJ
ejpam-6005	161	13	basic	basic	ADJ
ejpam-6005	161	14	reproduction	reproduction	NOUN
ejpam-6005	161	15	number	number	NOUN
ejpam-6005	161	16	,	,	PUNCT
ejpam-6005	161	17	refers	refer	VERB
ejpam-6005	161	18	to	to	ADP
ejpam-6005	161	19	the	the	DET
ejpam-6005	161	20	way	way	NOUN
ejpam-6005	161	21	in	in	ADP
ejpam-6005	161	22	which	which	PRON
ejpam-6005	161	23	infections	infection	NOUN
ejpam-6005	161	24	are	be	AUX
ejpam-6005	161	25	controlled	control	VERB
ejpam-6005	161	26	and	and	CCONJ
ejpam-6005	161	27	propagated	propagate	VERB
ejpam-6005	161	28	.	.	PUNCT
ejpam-6005	162	1	information	information	NOUN
ejpam-6005	162	2	regarding	regard	VERB
ejpam-6005	162	3	the	the	DET
ejpam-6005	162	4	disease	disease	NOUN
ejpam-6005	162	5	’s	’s	PART
ejpam-6005	162	6	prevalence	prevalence	NOUN
ejpam-6005	162	7	in	in	ADP
ejpam-6005	162	8	the	the	DET
ejpam-6005	162	9	community	community	NOUN
ejpam-6005	162	10	and	and	CCONJ
ejpam-6005	162	11	the	the	DET
ejpam-6005	162	12	best	good	ADJ
ejpam-6005	162	13	ways	way	NOUN
ejpam-6005	162	14	to	to	PART
ejpam-6005	162	15	protect	protect	VERB
ejpam-6005	162	16	the	the	DET
ejpam-6005	162	17	local	local	ADJ
ejpam-6005	162	18	people	people	NOUN
ejpam-6005	162	19	from	from	ADP
ejpam-6005	162	20	the	the	DET
ejpam-6005	162	21	deadly	deadly	ADJ
ejpam-6005	162	22	virus	virus	NOUN
ejpam-6005	162	23	are	be	AUX
ejpam-6005	162	24	provided	provide	VERB
ejpam-6005	162	25	by	by	ADP
ejpam-6005	162	26	r0	r0	NOUN
ejpam-6005	162	27	.	.	PUNCT
ejpam-6005	163	1	we	we	PRON
ejpam-6005	163	2	utilize	utilize	VERB
ejpam-6005	163	3	the	the	DET
ejpam-6005	163	4	next	next	ADJ
ejpam-6005	163	5	generation	generation	NOUN
ejpam-6005	163	6	matrix	matrix	NOUN
ejpam-6005	163	7	notion	notion	NOUN
ejpam-6005	163	8	to	to	PART
ejpam-6005	163	9	determine	determine	VERB
ejpam-6005	163	10	r0	r0	NOUN
ejpam-6005	163	11	.	.	PUNCT
ejpam-6005	164	1	let	let	VERB
ejpam-6005	164	2	φ	φ	PROPN
ejpam-6005	164	3	=	=	SYM
ejpam-6005	164	4	(	(	PUNCT
ejpam-6005	164	5	e	e	NOUN
ejpam-6005	164	6	,	,	PUNCT
ejpam-6005	164	7	if	if	SCONJ
ejpam-6005	164	8	,	,	PUNCT
ejpam-6005	164	9	ic	ic	PROPN
ejpam-6005	164	10	)	)	PUNCT
ejpam-6005	164	11	,	,	PUNCT
ejpam-6005	164	12	then	then	ADV
ejpam-6005	164	13	form	form	NOUN
ejpam-6005	164	14	system	system	NOUN
ejpam-6005	164	15	(	(	PUNCT
ejpam-6005	164	16	1	1	NUM
ejpam-6005	164	17	)	)	PUNCT
ejpam-6005	164	18	,	,	PUNCT
ejpam-6005	164	19	we	we	PRON
ejpam-6005	164	20	have	have	VERB
ejpam-6005	164	21	dφ	dφ	INTJ
ejpam-6005	165	1	dt	dt	NOUN
ejpam-6005	165	2	=	=	PUNCT
ejpam-6005	165	3	x	x	SYM
ejpam-6005	165	4	−	−	PROPN
ejpam-6005	166	1	y	y	PROPN
ejpam-6005	166	2	,	,	PUNCT
ejpam-6005	166	3	such	such	ADJ
ejpam-6005	166	4	that	that	SCONJ
ejpam-6005	166	5	,	,	PUNCT
ejpam-6005	166	6	x	x	PROPN
ejpam-6005	166	7	=	=	SYM
ejpam-6005	166	8			PROPN
ejpam-6005	166	9	ksi(βi	ksi(βi	VERB
ejpam-6005	166	10	+	+	NOUN
ejpam-6005	166	11	1	1	NUM
ejpam-6005	166	12	)	)	PUNCT
ejpam-6005	166	13	0	0	NUM
ejpam-6005	166	14	0	0	NUM
ejpam-6005	167	1			PROPN
ejpam-6005	167	2	and	and	CCONJ
ejpam-6005	167	3	y	y	NOUN
ejpam-6005	167	4	=	=	SYM
ejpam-6005	167	5			PROPN
ejpam-6005	167	6	(	(	PUNCT
ejpam-6005	167	7	d0	d0	NOUN
ejpam-6005	167	8	+	+	CCONJ
ejpam-6005	167	9	η	η	PROPN
ejpam-6005	167	10	+	+	NOUN
ejpam-6005	167	11	ϕ)e	ϕ)e	NOUN
ejpam-6005	167	12	−ϕe	−ϕe	X
ejpam-6005	168	1	+	+	CCONJ
ejpam-6005	168	2	(	(	PUNCT
ejpam-6005	168	3	γ1	γ1	PROPN
ejpam-6005	168	4	+	+	CCONJ
ejpam-6005	168	5	vf	vf	X
ejpam-6005	168	6	+	+	NUM
ejpam-6005	168	7	d0	d0	NOUN
ejpam-6005	168	8	+	+	CCONJ
ejpam-6005	168	9	c1)if	c1)if	NOUN
ejpam-6005	168	10	−ηe	−ηe	NOUN
ejpam-6005	168	11	+	+	CCONJ
ejpam-6005	168	12	(	(	PUNCT
ejpam-6005	168	13	γ2	γ2	PROPN
ejpam-6005	168	14	+	+	CCONJ
ejpam-6005	168	15	vc	vc	PROPN
ejpam-6005	168	16	+	+	CCONJ
ejpam-6005	168	17	d0	d0	NOUN
ejpam-6005	168	18	+	+	CCONJ
ejpam-6005	168	19	c2)ic	c2)ic	PROPN
ejpam-6005	168	20			PROPN
ejpam-6005	168	21	.	.	PUNCT
ejpam-6005	169	1	at	at	ADP
ejpam-6005	169	2	dfep	dfep	NOUN
ejpam-6005	169	3	the	the	DET
ejpam-6005	169	4	jacobian	jacobian	NOUN
ejpam-6005	169	5	of	of	ADP
ejpam-6005	169	6	x	x	SYM
ejpam-6005	169	7	is	be	AUX
ejpam-6005	169	8	,	,	PUNCT
ejpam-6005	169	9	we	we	PRON
ejpam-6005	169	10	have	have	VERB
ejpam-6005	169	11	x	x	X
ejpam-6005	169	12	=	=	SYM
ejpam-6005	169	13			PROPN
ejpam-6005	169	14	0	0	NUM
ejpam-6005	169	15	ks0	ks0	VERB
ejpam-6005	169	16	ks0	ks0	NOUN
ejpam-6005	169	17	0	0	NUM
ejpam-6005	169	18	0	0	NUM
ejpam-6005	169	19	0	0	NUM
ejpam-6005	169	20	0	0	NUM
ejpam-6005	169	21	0	0	NUM
ejpam-6005	169	22	0	0	NUM
ejpam-6005	170	1			PROPN
ejpam-6005	170	2	r.	r.	PROPN
ejpam-6005	170	3	ud	ud	PROPN
ejpam-6005	170	4	din	din	PROPN
ejpam-6005	170	5	,	,	PUNCT
ejpam-6005	170	6	m.	m.	PROPN
ejpam-6005	170	7	s.	s.	PROPN
ejpam-6005	170	8	arif	arif	PROPN
ejpam-6005	170	9	/	/	SYM
ejpam-6005	170	10	eur	eur	PROPN
ejpam-6005	170	11	.	.	PUNCT
ejpam-6005	171	1	j.	j.	PROPN
ejpam-6005	171	2	pure	pure	PROPN
ejpam-6005	171	3	appl	appl	PROPN
ejpam-6005	171	4	.	.	PROPN
ejpam-6005	171	5	math	math	PROPN
ejpam-6005	171	6	,	,	PUNCT
ejpam-6005	171	7	18	18	NUM
ejpam-6005	171	8	(	(	PUNCT
ejpam-6005	171	9	2	2	NUM
ejpam-6005	171	10	)	)	PUNCT
ejpam-6005	171	11	(	(	PUNCT
ejpam-6005	171	12	2025	2025	NUM
ejpam-6005	171	13	)	)	PUNCT
ejpam-6005	171	14	,	,	PUNCT
ejpam-6005	171	15	6005	6005	NUM
ejpam-6005	171	16	10	10	NUM
ejpam-6005	171	17	of	of	ADP
ejpam-6005	171	18	27	27	NUM
ejpam-6005	171	19	where	where	SCONJ
ejpam-6005	171	20	at	at	ADP
ejpam-6005	171	21	dfep	dfep	NOUN
ejpam-6005	171	22	the	the	DET
ejpam-6005	171	23	jacobian	jacobian	NOUN
ejpam-6005	171	24	of	of	ADP
ejpam-6005	171	25	x	x	SYM
ejpam-6005	171	26	is	be	AUX
ejpam-6005	171	27	,	,	PUNCT
ejpam-6005	171	28	we	we	PRON
ejpam-6005	171	29	have	have	VERB
ejpam-6005	172	1	y	y	PROPN
ejpam-6005	172	2	=	=	SYM
ejpam-6005	172	3			PROPN
ejpam-6005	172	4	(	(	PUNCT
ejpam-6005	172	5	d0	d0	NOUN
ejpam-6005	172	6	+	+	CCONJ
ejpam-6005	172	7	η	η	PROPN
ejpam-6005	172	8	+	+	PROPN
ejpam-6005	172	9	ϕ	ϕ	PROPN
ejpam-6005	172	10	)	)	PUNCT
ejpam-6005	172	11	0	0	NUM
ejpam-6005	172	12	0	0	NUM
ejpam-6005	172	13	−ϕ	−ϕ	ADJ
ejpam-6005	172	14	γ1	γ1	NOUN
ejpam-6005	172	15	+	+	CCONJ
ejpam-6005	172	16	vf	vf	X
ejpam-6005	172	17	+	+	CCONJ
ejpam-6005	172	18	d0	d0	NOUN
ejpam-6005	172	19	+	+	CCONJ
ejpam-6005	172	20	c1	c1	NOUN
ejpam-6005	172	21	0	0	NUM
ejpam-6005	173	1	−η	−η	NOUN
ejpam-6005	173	2	0	0	NUM
ejpam-6005	174	1	γ2	γ2	PROPN
ejpam-6005	174	2	+	+	CCONJ
ejpam-6005	174	3	vc	vc	PROPN
ejpam-6005	174	4	+	+	CCONJ
ejpam-6005	174	5	d0	d0	NOUN
ejpam-6005	174	6	+	+	CCONJ
ejpam-6005	174	7	c2	c2	PROPN
ejpam-6005	174	8			PROPN
ejpam-6005	174	9	.	.	PUNCT
ejpam-6005	175	1	xy−1	xy−1	PROPN
ejpam-6005	176	1	=	=	PUNCT
ejpam-6005	176	2			PROPN
ejpam-6005	176	3	0	0	NUM
ejpam-6005	176	4	ks0	ks0	VERB
ejpam-6005	176	5	ks0	ks0	NOUN
ejpam-6005	176	6	0	0	NUM
ejpam-6005	176	7	0	0	NUM
ejpam-6005	176	8	0	0	NUM
ejpam-6005	176	9	0	0	NUM
ejpam-6005	176	10	0	0	NUM
ejpam-6005	176	11	0	0	NUM
ejpam-6005	176	12			PUNCT
ejpam-6005	176	13	q(γ1	q(γ1	NOUN
ejpam-6005	176	14	+	+	CCONJ
ejpam-6005	176	15	vf	vf	X
ejpam-6005	176	16	+	+	CCONJ
ejpam-6005	176	17	d0	d0	NOUN
ejpam-6005	176	18	+	+	CCONJ
ejpam-6005	176	19	c1	c1	NOUN
ejpam-6005	176	20	)	)	PUNCT
ejpam-6005	176	21	0	0	NUM
ejpam-6005	176	22	0	0	NUM
ejpam-6005	177	1	ϕ(γ2	ϕ(γ2	NOUN
ejpam-6005	178	1	+	+	CCONJ
ejpam-6005	178	2	vc	vc	PROPN
ejpam-6005	178	3	+	+	CCONJ
ejpam-6005	178	4	d0	d0	PROPN
ejpam-6005	178	5	+	+	CCONJ
ejpam-6005	178	6	c2	c2	PROPN
ejpam-6005	178	7	)	)	PUNCT
ejpam-6005	178	8	q(γ2	q(γ2	VERB
ejpam-6005	178	9	+	+	NOUN
ejpam-6005	179	1	vc	vc	NOUN
ejpam-6005	179	2	+	+	CCONJ
ejpam-6005	179	3	d0	d0	PROPN
ejpam-6005	179	4	+	+	CCONJ
ejpam-6005	179	5	c2	c2	PROPN
ejpam-6005	179	6	)	)	PUNCT
ejpam-6005	179	7	0	0	NUM
ejpam-6005	179	8	η(γ1	η(γ1	VERB
ejpam-6005	179	9	+	+	X
ejpam-6005	179	10	vf	vf	X
ejpam-6005	179	11	+	+	CCONJ
ejpam-6005	179	12	d0	d0	NOUN
ejpam-6005	179	13	+	+	CCONJ
ejpam-6005	179	14	c1	c1	NOUN
ejpam-6005	179	15	)	)	PUNCT
ejpam-6005	179	16	0	0	NUM
ejpam-6005	179	17	q(γ1	q(γ1	NOUN
ejpam-6005	179	18	+	+	CCONJ
ejpam-6005	179	19	vf	vf	X
ejpam-6005	179	20	+	+	CCONJ
ejpam-6005	179	21	d0	d0	NOUN
ejpam-6005	179	22	+	+	CCONJ
ejpam-6005	179	23	c1	c1	PROPN
ejpam-6005	179	24	)	)	PUNCT
ejpam-6005	179	25			PROPN
ejpam-6005	179	26	(	(	PUNCT
ejpam-6005	179	27	q(γ1	q(γ1	NOUN
ejpam-6005	179	28	+	+	CCONJ
ejpam-6005	179	29	vf	vf	X
ejpam-6005	179	30	+	+	NUM
ejpam-6005	179	31	d0	d0	NOUN
ejpam-6005	179	32	+	+	CCONJ
ejpam-6005	179	33	c1)(γ2	c1)(γ2	NOUN
ejpam-6005	180	1	+	+	CCONJ
ejpam-6005	180	2	vc	vc	PROPN
ejpam-6005	180	3	+	+	CCONJ
ejpam-6005	180	4	d0	d0	PROPN
ejpam-6005	180	5	+	+	CCONJ
ejpam-6005	180	6	c2	c2	PROPN
ejpam-6005	180	7	)	)	PUNCT
ejpam-6005	180	8	.	.	PUNCT
ejpam-6005	181	1	assume	assume	VERB
ejpam-6005	181	2	that	that	SCONJ
ejpam-6005	181	3	q	q	NOUN
ejpam-6005	181	4	=	=	SYM
ejpam-6005	181	5	d0	d0	NOUN
ejpam-6005	181	6	+	+	CCONJ
ejpam-6005	181	7	η	η	PROPN
ejpam-6005	181	8	+	+	PROPN
ejpam-6005	181	9	ϕ	ϕ	PROPN
ejpam-6005	181	10	,	,	PUNCT
ejpam-6005	181	11	where	where	SCONJ
ejpam-6005	181	12	xy−1	xy−1	PROPN
ejpam-6005	181	13	have	have	VERB
ejpam-6005	181	14	the	the	DET
ejpam-6005	181	15	following	follow	VERB
ejpam-6005	181	16	positive	positive	ADJ
ejpam-6005	181	17	radius	radius	NOUN
ejpam-6005	181	18	,	,	PUNCT
ejpam-6005	181	19	which	which	PRON
ejpam-6005	181	20	is	be	AUX
ejpam-6005	181	21	known	know	VERB
ejpam-6005	181	22	as	as	ADP
ejpam-6005	181	23	reproduction	reproduction	NOUN
ejpam-6005	181	24	rate	rate	NOUN
ejpam-6005	181	25	of	of	ADP
ejpam-6005	181	26	influenza	influenza	NOUN
ejpam-6005	181	27	and	and	CCONJ
ejpam-6005	181	28	covid	covid	VERB
ejpam-6005	181	29	respectively	respectively	ADV
ejpam-6005	181	30	,	,	PUNCT
ejpam-6005	181	31	r01	r01	PROPN
ejpam-6005	181	32	=	=	SYM
ejpam-6005	181	33	kb	kb	PROPN
ejpam-6005	181	34	d0(d0	d0(d0	NOUN
ejpam-6005	181	35	+	+	CCONJ
ejpam-6005	181	36	ϕ+	ϕ+	CCONJ
ejpam-6005	181	37	η)(γ1	η)(γ1	NOUN
ejpam-6005	181	38	+	+	CCONJ
ejpam-6005	181	39	vf	vf	X
ejpam-6005	181	40	+	+	CCONJ
ejpam-6005	181	41	d0	d0	NOUN
ejpam-6005	181	42	+	+	CCONJ
ejpam-6005	181	43	c1	c1	NOUN
ejpam-6005	181	44	)	)	PUNCT
ejpam-6005	181	45	r02	r02	NOUN
ejpam-6005	181	46	=	=	PUNCT
ejpam-6005	181	47	kbϕ	kbϕ	NOUN
ejpam-6005	181	48	d0(d0	d0(d0	NOUN
ejpam-6005	181	49	+	+	CCONJ
ejpam-6005	181	50	ϕ+	ϕ+	PUNCT
ejpam-6005	181	51	η)(γ2	η)(γ2	NOUN
ejpam-6005	181	52	+	+	CCONJ
ejpam-6005	181	53	vc	vc	PROPN
ejpam-6005	181	54	+	+	CCONJ
ejpam-6005	181	55	d0	d0	PROPN
ejpam-6005	181	56	+	+	CCONJ
ejpam-6005	181	57	c2	c2	PROPN
ejpam-6005	181	58	)	)	PUNCT
ejpam-6005	181	59	.	.	PUNCT
ejpam-6005	182	1	may	may	AUX
ejpam-6005	182	2	some	some	DET
ejpam-6005	182	3	one	one	NOUN
ejpam-6005	182	4	consider	consider	VERB
ejpam-6005	182	5	as	as	ADP
ejpam-6005	182	6	,	,	PUNCT
ejpam-6005	182	7	r0	r0	NOUN
ejpam-6005	182	8	=	=	SYM
ejpam-6005	182	9	max	max	PROPN
ejpam-6005	183	1	[	[	X
ejpam-6005	183	2	r01,r02	r01,r02	X
ejpam-6005	183	3	]	]	PUNCT
ejpam-6005	183	4	.	.	PUNCT
ejpam-6005	184	1	(	(	PUNCT
ejpam-6005	184	2	14	14	NUM
ejpam-6005	184	3	)	)	PUNCT
ejpam-6005	184	4	4	4	NUM
ejpam-6005	184	5	.	.	PUNCT
ejpam-6005	184	6	stability	stability	NOUN
ejpam-6005	184	7	analysis	analysis	NOUN
ejpam-6005	184	8	in	in	ADP
ejpam-6005	184	9	this	this	DET
ejpam-6005	184	10	part	part	NOUN
ejpam-6005	184	11	of	of	ADP
ejpam-6005	184	12	the	the	DET
ejpam-6005	184	13	manuscript	manuscript	NOUN
ejpam-6005	184	14	consist	consist	VERB
ejpam-6005	184	15	of	of	ADP
ejpam-6005	184	16	stability	stability	NOUN
ejpam-6005	184	17	analysis	analysis	NOUN
ejpam-6005	184	18	of	of	ADP
ejpam-6005	184	19	the	the	DET
ejpam-6005	184	20	deterministic	deterministic	ADJ
ejpam-6005	184	21	model	model	NOUN
ejpam-6005	184	22	(	(	PUNCT
ejpam-6005	184	23	1	1	NUM
ejpam-6005	184	24	)	)	PUNCT
ejpam-6005	184	25	.	.	PUNCT
ejpam-6005	185	1	actually	actually	ADV
ejpam-6005	185	2	,	,	PUNCT
ejpam-6005	185	3	we	we	PRON
ejpam-6005	185	4	check	check	VERB
ejpam-6005	185	5	here	here	ADV
ejpam-6005	185	6	local	local	ADJ
ejpam-6005	185	7	and	and	CCONJ
ejpam-6005	185	8	global	global	ADJ
ejpam-6005	185	9	stability	stability	NOUN
ejpam-6005	185	10	of	of	ADP
ejpam-6005	185	11	the	the	DET
ejpam-6005	185	12	system	system	NOUN
ejpam-6005	185	13	at	at	ADP
ejpam-6005	185	14	disease	disease	NOUN
ejpam-6005	185	15	free	free	ADJ
ejpam-6005	185	16	and	and	CCONJ
ejpam-6005	185	17	endemic	endemic	ADJ
ejpam-6005	185	18	equilibrium	equilibrium	NOUN
ejpam-6005	185	19	points	point	NOUN
ejpam-6005	185	20	.	.	PUNCT
ejpam-6005	186	1	4.1	4.1	NUM
ejpam-6005	186	2	.	.	PUNCT
ejpam-6005	187	1	local	local	ADJ
ejpam-6005	187	2	stability	stability	NOUN
ejpam-6005	187	3	local	local	ADJ
ejpam-6005	187	4	stability	stability	NOUN
ejpam-6005	187	5	analysis	analysis	NOUN
ejpam-6005	187	6	is	be	AUX
ejpam-6005	187	7	investigate	investigate	ADJ
ejpam-6005	187	8	though	though	SCONJ
ejpam-6005	187	9	applying	apply	VERB
ejpam-6005	187	10	the	the	DET
ejpam-6005	187	11	jacobian	jacobian	ADJ
ejpam-6005	187	12	matrix	matrix	NOUN
ejpam-6005	187	13	of	of	ADP
ejpam-6005	187	14	the	the	DET
ejpam-6005	187	15	deterministic	deterministic	ADJ
ejpam-6005	187	16	model	model	NOUN
ejpam-6005	187	17	(	(	PUNCT
ejpam-6005	187	18	1	1	X
ejpam-6005	187	19	.	.	PUNCT
ejpam-6005	188	1	as	as	ADP
ejpam-6005	188	2	in	in	ADP
ejpam-6005	188	3	the	the	DET
ejpam-6005	188	4	next	next	ADJ
ejpam-6005	188	5	theorem	theorem	NOUN
ejpam-6005	188	6	,	,	PUNCT
ejpam-6005	188	7	we	we	PRON
ejpam-6005	188	8	get	get	VERB
ejpam-6005	188	9	condition	condition	NOUN
ejpam-6005	188	10	under	under	ADP
ejpam-6005	188	11	which	which	PRON
ejpam-6005	188	12	the	the	DET
ejpam-6005	188	13	system	system	NOUN
ejpam-6005	188	14	is	be	AUX
ejpam-6005	188	15	locally	locally	ADV
ejpam-6005	188	16	asymptotically	asymptotically	ADV
ejpam-6005	188	17	stable	stable	ADJ
ejpam-6005	188	18	.	.	PUNCT
ejpam-6005	189	1	theorem	theorem	NOUN
ejpam-6005	189	2	1	1	NUM
ejpam-6005	189	3	.	.	PUNCT
ejpam-6005	190	1	“	"	PUNCT
ejpam-6005	190	2	when	when	SCONJ
ejpam-6005	190	3	effective	effective	ADJ
ejpam-6005	190	4	basic	basic	ADJ
ejpam-6005	190	5	reproduction	reproduction	NOUN
ejpam-6005	190	6	number	number	NOUN
ejpam-6005	190	7	r01	r01	PROPN
ejpam-6005	190	8	<	<	X
ejpam-6005	190	9	1	1	NUM
ejpam-6005	190	10	or	or	CCONJ
ejpam-6005	190	11	r02	r02	VERB
ejpam-6005	190	12	<	<	X
ejpam-6005	190	13	1	1	NUM
ejpam-6005	190	14	,	,	PUNCT
ejpam-6005	190	15	the	the	DET
ejpam-6005	190	16	dfep	dfep	NOUN
ejpam-6005	190	17	“	"	PUNCT
ejpam-6005	190	18	p	p	NOUN
ejpam-6005	190	19	”	"	PUNCT
ejpam-6005	190	20	is	be	AUX
ejpam-6005	190	21	stable	stable	ADJ
ejpam-6005	190	22	locally	locally	ADV
ejpam-6005	190	23	asymptotically	asymptotically	ADV
ejpam-6005	190	24	.	.	PUNCT
ejpam-6005	190	25	”	"	PUNCT
ejpam-6005	191	1	proof	proof	NOUN
ejpam-6005	191	2	.	.	PUNCT
ejpam-6005	192	1	at	at	ADP
ejpam-6005	192	2	disease	disease	NOUN
ejpam-6005	192	3	free	free	ADJ
ejpam-6005	192	4	equilibrium	equilibrium	NOUN
ejpam-6005	192	5	state	state	NOUN
ejpam-6005	192	6	p0	p0	NOUN
ejpam-6005	192	7	=	=	SYM
ejpam-6005	192	8	(	(	PUNCT
ejpam-6005	192	9	b	b	NOUN
ejpam-6005	192	10	d0	d0	NOUN
ejpam-6005	192	11	,	,	PUNCT
ejpam-6005	192	12	0	0	NUM
ejpam-6005	192	13	,	,	PUNCT
ejpam-6005	192	14	0	0	NUM
ejpam-6005	192	15	,	,	PUNCT
ejpam-6005	192	16	0	0	NUM
ejpam-6005	192	17	,	,	PUNCT
ejpam-6005	192	18	0	0	NUM
ejpam-6005	192	19	,	,	PUNCT
ejpam-6005	192	20	0	0	NUM
ejpam-6005	192	21	,	,	PUNCT
ejpam-6005	192	22	0	0	NUM
ejpam-6005	192	23	)	)	PUNCT
ejpam-6005	192	24	the	the	DET
ejpam-6005	192	25	jacobian	jacobian	ADJ
ejpam-6005	192	26	matrix	matrix	NOUN
ejpam-6005	192	27	of	of	ADP
ejpam-6005	192	28	deterministic	deterministic	ADJ
ejpam-6005	192	29	model	model	NOUN
ejpam-6005	192	30	(	(	PUNCT
ejpam-6005	192	31	1	1	NUM
ejpam-6005	192	32	as	as	ADP
ejpam-6005	192	33	,	,	PUNCT
ejpam-6005	192	34	t	t	PROPN
ejpam-6005	192	35	0	0	NUM
ejpam-6005	193	1	=	=	NOUN
ejpam-6005	193	2			NOUN
ejpam-6005	194	1	−d0	−d0	NOUN
ejpam-6005	194	2	0	0	NUM
ejpam-6005	194	3	0	0	NUM
ejpam-6005	194	4	0	0	NUM
ejpam-6005	194	5	0	0	NUM
ejpam-6005	194	6	0	0	NUM
ejpam-6005	195	1	r	r	NOUN
ejpam-6005	195	2	0	0	NUM
ejpam-6005	195	3	−(d0	−(d0	NOUN
ejpam-6005	195	4	+	+	CCONJ
ejpam-6005	195	5	ϕ+	ϕ+	PROPN
ejpam-6005	195	6	η	η	PROPN
ejpam-6005	195	7	)	)	PUNCT
ejpam-6005	195	8	0	0	NUM
ejpam-6005	196	1	0	0	NUM
ejpam-6005	196	2	0	0	NUM
ejpam-6005	196	3	0	0	NUM
ejpam-6005	196	4	0	0	NUM
ejpam-6005	196	5	0	0	NUM
ejpam-6005	196	6	ϕ	ϕ	X
ejpam-6005	196	7	−(γ1	−(γ1	NOUN
ejpam-6005	196	8	+	+	SYM
ejpam-6005	196	9	vf	vf	X
ejpam-6005	196	10	+	+	CCONJ
ejpam-6005	196	11	d0	d0	NOUN
ejpam-6005	196	12	+	+	CCONJ
ejpam-6005	196	13	c1	c1	NOUN
ejpam-6005	196	14	)	)	PUNCT
ejpam-6005	196	15	0	0	NUM
ejpam-6005	197	1	0	0	NUM
ejpam-6005	197	2	0	0	NUM
ejpam-6005	197	3	0	0	NUM
ejpam-6005	197	4	0	0	NUM
ejpam-6005	197	5	η	η	X
ejpam-6005	197	6	0	0	NUM
ejpam-6005	197	7	−(γ2	−(γ2	PRON
ejpam-6005	197	8	+	+	NOUN
ejpam-6005	197	9	vc	vc	NOUN
ejpam-6005	197	10	+	+	CCONJ
ejpam-6005	197	11	d0	d0	PROPN
ejpam-6005	197	12	+	+	CCONJ
ejpam-6005	197	13	c2	c2	PROPN
ejpam-6005	197	14	)	)	PUNCT
ejpam-6005	197	15	0	0	NUM
ejpam-6005	197	16	0	0	NUM
ejpam-6005	197	17	0	0	NUM
ejpam-6005	197	18	0	0	SYM
ejpam-6005	197	19	0	0	NUM
ejpam-6005	198	1	c1	c1	PROPN
ejpam-6005	198	2	c2	c2	PROPN
ejpam-6005	198	3	0	0	NUM
ejpam-6005	198	4	0	0	NUM
ejpam-6005	198	5	0	0	NUM
ejpam-6005	198	6	0	0	NUM
ejpam-6005	198	7	0	0	NUM
ejpam-6005	199	1	vf	vf	PROPN
ejpam-6005	199	2	vc	vc	X
ejpam-6005	199	3	−γ3	−γ3	PROPN
ejpam-6005	199	4	0	0	NUM
ejpam-6005	199	5	0	0	NUM
ejpam-6005	199	6	0	0	NUM
ejpam-6005	199	7	0	0	NUM
ejpam-6005	199	8	γ1	γ1	PROPN
ejpam-6005	199	9	γ2	γ2	PROPN
ejpam-6005	199	10	γ3	γ3	PROPN
ejpam-6005	199	11	−(r	−(r	PROPN
ejpam-6005	199	12	−	−	PROPN
ejpam-6005	199	13	d0	d0	NOUN
ejpam-6005	199	14	)	)	PUNCT
ejpam-6005	199	15	0	0	PUNCT
ejpam-6005	200	1			PUNCT
ejpam-6005	200	2	r.	r.	PROPN
ejpam-6005	200	3	ud	ud	PROPN
ejpam-6005	200	4	din	din	PROPN
ejpam-6005	200	5	,	,	PUNCT
ejpam-6005	200	6	m.	m.	PROPN
ejpam-6005	200	7	s.	s.	PROPN
ejpam-6005	200	8	arif	arif	PROPN
ejpam-6005	200	9	/	/	SYM
ejpam-6005	200	10	eur	eur	PROPN
ejpam-6005	200	11	.	.	PUNCT
ejpam-6005	201	1	j.	j.	PROPN
ejpam-6005	201	2	pure	pure	PROPN
ejpam-6005	201	3	appl	appl	PROPN
ejpam-6005	201	4	.	.	PROPN
ejpam-6005	201	5	math	math	PROPN
ejpam-6005	201	6	,	,	PUNCT
ejpam-6005	201	7	18	18	NUM
ejpam-6005	201	8	(	(	PUNCT
ejpam-6005	201	9	2	2	NUM
ejpam-6005	201	10	)	)	PUNCT
ejpam-6005	201	11	(	(	PUNCT
ejpam-6005	201	12	2025	2025	NUM
ejpam-6005	201	13	)	)	PUNCT
ejpam-6005	201	14	,	,	PUNCT
ejpam-6005	201	15	6005	6005	NUM
ejpam-6005	201	16	11	11	NUM
ejpam-6005	201	17	of	of	ADP
ejpam-6005	201	18	27	27	NUM
ejpam-6005	201	19	and	and	CCONJ
ejpam-6005	201	20	|χ−	|χ−	NOUN
ejpam-6005	201	21	t	t	NOUN
ejpam-6005	201	22	0(p)|	0(p)|	NOUN
ejpam-6005	201	23	=	=	NOUN
ejpam-6005	201	24	0	0	X
ejpam-6005	201	25	.	.	PUNCT
ejpam-6005	202	1	hence	hence	ADV
ejpam-6005	202	2	χ1	χ1	NOUN
ejpam-6005	202	3	=	=	SYM
ejpam-6005	202	4	−d0	−d0	PROPN
ejpam-6005	202	5	,	,	PUNCT
ejpam-6005	202	6	χ2	χ2	PROPN
ejpam-6005	202	7	=	=	SYM
ejpam-6005	202	8	−(d0	−(d0	PROPN
ejpam-6005	202	9	+	+	CCONJ
ejpam-6005	202	10	ϕ+	ϕ+	PUNCT
ejpam-6005	202	11	η	η	PROPN
ejpam-6005	202	12	)	)	PUNCT
ejpam-6005	202	13	,	,	PUNCT
ejpam-6005	202	14	χ3	χ3	NOUN
ejpam-6005	202	15	=	=	PUNCT
ejpam-6005	202	16	−(γ2	−(γ2	X
ejpam-6005	202	17	+	+	NOUN
ejpam-6005	202	18	vc	vc	NOUN
ejpam-6005	202	19	+	+	CCONJ
ejpam-6005	202	20	d0	d0	PROPN
ejpam-6005	202	21	+	+	CCONJ
ejpam-6005	202	22	c2	c2	PROPN
ejpam-6005	202	23	)	)	PUNCT
ejpam-6005	202	24	,	,	PUNCT
ejpam-6005	202	25	χ4	χ4	NOUN
ejpam-6005	202	26	=	=	PUNCT
ejpam-6005	202	27	−(γ1	−(γ1	X
ejpam-6005	202	28	+	+	NUM
ejpam-6005	202	29	vf	vf	X
ejpam-6005	202	30	+	+	CCONJ
ejpam-6005	202	31	d0	d0	NOUN
ejpam-6005	202	32	+	+	CCONJ
ejpam-6005	202	33	c1	c1	PROPN
ejpam-6005	202	34	)	)	PUNCT
ejpam-6005	202	35	,	,	PUNCT
ejpam-6005	202	36	χ5	χ5	NOUN
ejpam-6005	202	37	=	=	PUNCT
ejpam-6005	202	38	−(r	−(r	NOUN
ejpam-6005	202	39	+	+	CCONJ
ejpam-6005	202	40	d0	d0	NOUN
ejpam-6005	202	41	)	)	PUNCT
ejpam-6005	202	42	,	,	PUNCT
ejpam-6005	202	43	χ6	χ6	NOUN
ejpam-6005	202	44	=	=	PUNCT
ejpam-6005	202	45	(	(	PUNCT
ejpam-6005	202	46	γ2	γ2	PROPN
ejpam-6005	202	47	+	+	CCONJ
ejpam-6005	202	48	vc	vc	PROPN
ejpam-6005	202	49	+	+	CCONJ
ejpam-6005	202	50	d0	d0	NOUN
ejpam-6005	202	51	+	+	CCONJ
ejpam-6005	202	52	c2)(r01	c2)(r01	NOUN
ejpam-6005	202	53	−	−	PROPN
ejpam-6005	202	54	1	1	NUM
ejpam-6005	202	55	)	)	PUNCT
ejpam-6005	202	56	,	,	PUNCT
ejpam-6005	202	57	χ7	χ7	NOUN
ejpam-6005	202	58	=	=	SYM
ejpam-6005	202	59	(	(	PUNCT
ejpam-6005	202	60	γ1	γ1	PROPN
ejpam-6005	202	61	+	+	CCONJ
ejpam-6005	202	62	vf	vf	X
ejpam-6005	202	63	+	+	NUM
ejpam-6005	202	64	d0	d0	NOUN
ejpam-6005	202	65	+	+	CCONJ
ejpam-6005	202	66	c1)(r02	c1)(r02	NOUN
ejpam-6005	202	67	−	−	NOUN
ejpam-6005	202	68	1	1	NUM
ejpam-6005	202	69	)	)	PUNCT
ejpam-6005	202	70	.	.	PUNCT
ejpam-6005	203	1	from	from	ADP
ejpam-6005	203	2	last	last	ADJ
ejpam-6005	203	3	two	two	NUM
ejpam-6005	203	4	equation	equation	NOUN
ejpam-6005	203	5	,	,	PUNCT
ejpam-6005	203	6	we	we	PRON
ejpam-6005	203	7	see	see	VERB
ejpam-6005	203	8	that	that	SCONJ
ejpam-6005	203	9	χ6	χ6	NOUN
ejpam-6005	203	10	is	be	AUX
ejpam-6005	203	11	negative	negative	ADJ
ejpam-6005	203	12	whenever	whenever	SCONJ
ejpam-6005	203	13	r01	r01	PROPN
ejpam-6005	203	14	<	<	X
ejpam-6005	203	15	1	1	NUM
ejpam-6005	203	16	,	,	PUNCT
ejpam-6005	203	17	χ7	χ7	PROPN
ejpam-6005	203	18	has	have	VERB
ejpam-6005	203	19	condition	condition	NOUN
ejpam-6005	203	20	r02	r02	VERB
ejpam-6005	203	21	<	<	X
ejpam-6005	203	22	1	1	NUM
ejpam-6005	203	23	,	,	PUNCT
ejpam-6005	203	24	and	and	CCONJ
ejpam-6005	203	25	the	the	DET
ejpam-6005	203	26	rest	rest	NOUN
ejpam-6005	203	27	are	be	AUX
ejpam-6005	203	28	also	also	ADV
ejpam-6005	203	29	strictly	strictly	ADV
ejpam-6005	203	30	negative	negative	ADJ
ejpam-6005	203	31	which	which	PRON
ejpam-6005	203	32	follow	follow	VERB
ejpam-6005	203	33	the	the	DET
ejpam-6005	203	34	conclusion	conclusion	NOUN
ejpam-6005	203	35	.	.	PUNCT
ejpam-6005	204	1	4.2	4.2	NUM
ejpam-6005	204	2	.	.	PUNCT
ejpam-6005	205	1	global	global	ADJ
ejpam-6005	205	2	stability	stability	PROPN
ejpam-6005	205	3	global	global	ADJ
ejpam-6005	205	4	stability	stability	NOUN
ejpam-6005	205	5	of	of	ADP
ejpam-6005	205	6	the	the	DET
ejpam-6005	205	7	deterministic	deterministic	ADJ
ejpam-6005	205	8	model	model	NOUN
ejpam-6005	205	9	is	be	AUX
ejpam-6005	205	10	highlight	highlight	NOUN
ejpam-6005	205	11	through	through	ADP
ejpam-6005	205	12	a	a	DET
ejpam-6005	205	13	function	function	NOUN
ejpam-6005	205	14	“	"	PUNCT
ejpam-6005	205	15	f	f	X
ejpam-6005	205	16	”	"	PUNCT
ejpam-6005	205	17	,	,	PUNCT
ejpam-6005	205	18	known	know	VERB
ejpam-6005	205	19	is	be	AUX
ejpam-6005	205	20	laypaunov	laypaunov	NOUN
ejpam-6005	205	21	function	function	NOUN
ejpam-6005	205	22	.	.	PUNCT
ejpam-6005	206	1	by	by	ADP
ejpam-6005	206	2	using	use	VERB
ejpam-6005	206	3	[	[	X
ejpam-6005	206	4	25	25	NUM
ejpam-6005	206	5	]	]	PUNCT
ejpam-6005	206	6	at	at	ADP
ejpam-6005	206	7	disease	disease	NOUN
ejpam-6005	206	8	free	free	ADJ
ejpam-6005	206	9	equilibrium	equilibrium	PROPN
ejpam-6005	206	10	sate	sate	NOUN
ejpam-6005	206	11	“	"	PUNCT
ejpam-6005	206	12	p	p	PROPN
ejpam-6005	206	13	”	"	PUNCT
ejpam-6005	206	14	,	,	PUNCT
ejpam-6005	206	15	we	we	PRON
ejpam-6005	206	16	investigate	investigate	VERB
ejpam-6005	206	17	the	the	DET
ejpam-6005	206	18	stability	stability	NOUN
ejpam-6005	206	19	analysis	analysis	NOUN
ejpam-6005	206	20	in	in	ADP
ejpam-6005	206	21	next	next	ADJ
ejpam-6005	206	22	theorem	theorem	PROPN
ejpam-6005	206	23	.	.	PUNCT
ejpam-6005	206	24	theorem	theorem	NOUN
ejpam-6005	206	25	2	2	NUM
ejpam-6005	206	26	.	.	PUNCT
ejpam-6005	207	1	“	"	PUNCT
ejpam-6005	207	2	when	when	SCONJ
ejpam-6005	207	3	effective	effective	ADJ
ejpam-6005	207	4	basic	basic	ADJ
ejpam-6005	207	5	reproduction	reproduction	NOUN
ejpam-6005	207	6	number	number	NOUN
ejpam-6005	207	7	r01	r01	PROPN
ejpam-6005	207	8	<	<	X
ejpam-6005	207	9	1	1	NUM
ejpam-6005	207	10	or	or	CCONJ
ejpam-6005	207	11	r02	r02	VERB
ejpam-6005	207	12	<	<	X
ejpam-6005	207	13	1	1	NUM
ejpam-6005	207	14	,	,	PUNCT
ejpam-6005	207	15	the	the	DET
ejpam-6005	207	16	dfep	dfep	NOUN
ejpam-6005	207	17	“	"	PUNCT
ejpam-6005	207	18	p	p	NOUN
ejpam-6005	207	19	”	"	PUNCT
ejpam-6005	207	20	is	be	AUX
ejpam-6005	207	21	globally	globally	ADV
ejpam-6005	207	22	asymptotically	asymptotically	ADV
ejpam-6005	207	23	stable	stable	ADJ
ejpam-6005	207	24	.	.	PUNCT
ejpam-6005	207	25	”	"	PUNCT
ejpam-6005	208	1	proof	proof	NOUN
ejpam-6005	208	2	.	.	PUNCT
ejpam-6005	209	1	let	let	VERB
ejpam-6005	209	2	define	define	VERB
ejpam-6005	209	3	the	the	DET
ejpam-6005	209	4	laypaunov	laypaunov	NOUN
ejpam-6005	209	5	function	function	NOUN
ejpam-6005	209	6	f	f	PROPN
ejpam-6005	209	7	as	as	ADP
ejpam-6005	209	8	,	,	PUNCT
ejpam-6005	209	9	f	f	X
ejpam-6005	209	10	=	=	PRON
ejpam-6005	209	11	h1if	h1if	PUNCT
ejpam-6005	209	12	+	+	CCONJ
ejpam-6005	209	13	h1ic	h1ic	ADV
ejpam-6005	209	14	,	,	PUNCT
ejpam-6005	209	15	(	(	PUNCT
ejpam-6005	209	16	15	15	NUM
ejpam-6005	209	17	)	)	PUNCT
ejpam-6005	209	18	where	where	SCONJ
ejpam-6005	209	19	h1	h1	NOUN
ejpam-6005	209	20	and	and	CCONJ
ejpam-6005	209	21	h2	h2	NOUN
ejpam-6005	209	22	are	be	AUX
ejpam-6005	209	23	some	some	DET
ejpam-6005	209	24	positive	positive	ADJ
ejpam-6005	209	25	constants	constant	NOUN
ejpam-6005	209	26	.	.	PUNCT
ejpam-6005	210	1	since	since	SCONJ
ejpam-6005	210	2	if	if	SCONJ
ejpam-6005	210	3	,	,	PUNCT
ejpam-6005	210	4	ic	ic	PROPN
ejpam-6005	210	5	>	>	X
ejpam-6005	210	6	0	0	PROPN
ejpam-6005	210	7	,	,	PUNCT
ejpam-6005	210	8	then	then	ADV
ejpam-6005	210	9	f	f	X
ejpam-6005	210	10	.	.	PUNCT
ejpam-6005	211	1	also	also	ADV
ejpam-6005	211	2	whenever	whenever	SCONJ
ejpam-6005	211	3	if	if	SCONJ
ejpam-6005	211	4	=	=	PRON
ejpam-6005	211	5	ic	ic	PROPN
ejpam-6005	212	1	=	=	NOUN
ejpam-6005	212	2	0	0	PUNCT
ejpam-6005	213	1	then	then	ADV
ejpam-6005	213	2	f	f	PROPN
ejpam-6005	213	3	=	=	SYM
ejpam-6005	213	4	0	0	X
ejpam-6005	213	5	.	.	PUNCT
ejpam-6005	214	1	we	we	PRON
ejpam-6005	214	2	need	need	VERB
ejpam-6005	214	3	to	to	PART
ejpam-6005	214	4	show	show	VERB
ejpam-6005	214	5	that	that	SCONJ
ejpam-6005	214	6	ḟ	ḟ	VERB
ejpam-6005	214	7	<	<	X
ejpam-6005	214	8	0	0	NUM
ejpam-6005	214	9	,	,	PUNCT
ejpam-6005	214	10	for	for	ADP
ejpam-6005	214	11	this	this	DET
ejpam-6005	214	12	follow	follow	NOUN
ejpam-6005	214	13	now	now	ADV
ejpam-6005	214	14	,	,	PUNCT
ejpam-6005	214	15	our	our	PRON
ejpam-6005	214	16	goal	goal	NOUN
ejpam-6005	214	17	is	be	AUX
ejpam-6005	214	18	ḟ	ḟ	NOUN
ejpam-6005	214	19	<	<	X
ejpam-6005	214	20	0	0	NUM
ejpam-6005	214	21	.	.	PUNCT
ejpam-6005	215	1	df	df	PROPN
ejpam-6005	215	2	dt	dt	NOUN
ejpam-6005	216	1	=	=	NOUN
ejpam-6005	216	2	h1	h1	VERB
ejpam-6005	216	3	dif	dif	ADV
ejpam-6005	216	4	dt	dt	X
ejpam-6005	217	1	+	+	CCONJ
ejpam-6005	217	2	h2	h2	PROPN
ejpam-6005	217	3	dic	dic	PROPN
ejpam-6005	217	4	dt	dt	PROPN
ejpam-6005	217	5	.	.	PUNCT
ejpam-6005	218	1	(	(	PUNCT
ejpam-6005	218	2	16	16	X
ejpam-6005	218	3	)	)	PUNCT
ejpam-6005	218	4	putting	put	VERB
ejpam-6005	218	5	values	value	NOUN
ejpam-6005	218	6	of	of	ADP
ejpam-6005	218	7	if	if	SCONJ
ejpam-6005	218	8	and	and	CCONJ
ejpam-6005	218	9	ic	ic	X
ejpam-6005	218	10	from	from	ADP
ejpam-6005	218	11	(	(	PUNCT
ejpam-6005	218	12	1	1	NUM
ejpam-6005	218	13	)	)	PUNCT
ejpam-6005	218	14	in	in	ADP
ejpam-6005	218	15	(	(	PUNCT
ejpam-6005	218	16	16	16	NUM
ejpam-6005	218	17	)	)	PUNCT
ejpam-6005	218	18	,	,	PUNCT
ejpam-6005	218	19	we	we	PRON
ejpam-6005	218	20	get	get	VERB
ejpam-6005	218	21	df	df	NOUN
ejpam-6005	218	22	dt	dt	NOUN
ejpam-6005	219	1	=	=	PUNCT
ejpam-6005	219	2	h1	h1	PROPN
ejpam-6005	219	3	(	(	PUNCT
ejpam-6005	219	4	ϕe	ϕe	INTJ
ejpam-6005	219	5	−	−	PROPN
ejpam-6005	219	6	(	(	PUNCT
ejpam-6005	219	7	γ1	γ1	PROPN
ejpam-6005	219	8	+	+	CCONJ
ejpam-6005	219	9	vf	vf	X
ejpam-6005	219	10	+	+	NUM
ejpam-6005	219	11	d0	d0	NOUN
ejpam-6005	219	12	+	+	CCONJ
ejpam-6005	219	13	c1)if	c1)if	NOUN
ejpam-6005	219	14	)	)	PUNCT
ejpam-6005	220	1	+	+	CCONJ
ejpam-6005	220	2	h2	h2	NOUN
ejpam-6005	220	3	(	(	PUNCT
ejpam-6005	220	4	ηe	ηe	ADP
ejpam-6005	220	5	−	−	PROPN
ejpam-6005	220	6	(	(	PUNCT
ejpam-6005	220	7	γ2	γ2	PROPN
ejpam-6005	220	8	+	+	CCONJ
ejpam-6005	220	9	vc	vc	PROPN
ejpam-6005	220	10	+	+	CCONJ
ejpam-6005	220	11	d0	d0	PROPN
ejpam-6005	220	12	+	+	CCONJ
ejpam-6005	220	13	c2)ic	c2)ic	PROPN
ejpam-6005	220	14	)	)	PUNCT
ejpam-6005	220	15	.	.	PUNCT
ejpam-6005	221	1	(	(	PUNCT
ejpam-6005	221	2	17	17	NUM
ejpam-6005	221	3	)	)	PUNCT
ejpam-6005	221	4	where	where	SCONJ
ejpam-6005	221	5	h1	h1	NOUN
ejpam-6005	221	6	=	=	SYM
ejpam-6005	221	7	kb	kb	PROPN
ejpam-6005	221	8	d0(d0	d0(d0	NOUN
ejpam-6005	221	9	+	+	CCONJ
ejpam-6005	221	10	ϕ+	ϕ+	PROPN
ejpam-6005	221	11	η	η	PROPN
ejpam-6005	221	12	)	)	PUNCT
ejpam-6005	221	13	also	also	ADV
ejpam-6005	221	14	same	same	ADJ
ejpam-6005	221	15	as	as	ADP
ejpam-6005	221	16	h2	h2	NOUN
ejpam-6005	221	17	=	=	SYM
ejpam-6005	221	18	kb	kb	PROPN
ejpam-6005	221	19	d0(d0	d0(d0	NOUN
ejpam-6005	221	20	+	+	CCONJ
ejpam-6005	221	21	ϕ+	ϕ+	PROPN
ejpam-6005	221	22	η	η	PROPN
ejpam-6005	221	23	)	)	PUNCT
ejpam-6005	221	24	r.	r.	PROPN
ejpam-6005	221	25	ud	ud	PROPN
ejpam-6005	221	26	din	din	PROPN
ejpam-6005	221	27	,	,	PUNCT
ejpam-6005	221	28	m.	m.	PROPN
ejpam-6005	221	29	s.	s.	PROPN
ejpam-6005	221	30	arif	arif	PROPN
ejpam-6005	221	31	/	/	SYM
ejpam-6005	221	32	eur	eur	PROPN
ejpam-6005	221	33	.	.	PUNCT
ejpam-6005	222	1	j.	j.	PROPN
ejpam-6005	222	2	pure	pure	PROPN
ejpam-6005	222	3	appl	appl	PROPN
ejpam-6005	222	4	.	.	PROPN
ejpam-6005	222	5	math	math	PROPN
ejpam-6005	222	6	,	,	PUNCT
ejpam-6005	222	7	18	18	NUM
ejpam-6005	222	8	(	(	PUNCT
ejpam-6005	222	9	2	2	NUM
ejpam-6005	222	10	)	)	PUNCT
ejpam-6005	222	11	(	(	PUNCT
ejpam-6005	222	12	2025	2025	NUM
ejpam-6005	222	13	)	)	PUNCT
ejpam-6005	222	14	,	,	PUNCT
ejpam-6005	222	15	6005	6005	NUM
ejpam-6005	222	16	12	12	NUM
ejpam-6005	222	17	of	of	ADP
ejpam-6005	222	18	27	27	NUM
ejpam-6005	222	19	.	.	PUNCT
ejpam-6005	223	1	from	from	ADP
ejpam-6005	223	2	(	(	PUNCT
ejpam-6005	223	3	17	17	NUM
ejpam-6005	223	4	)	)	PUNCT
ejpam-6005	223	5	,	,	PUNCT
ejpam-6005	223	6	we	we	PRON
ejpam-6005	223	7	have	have	VERB
ejpam-6005	223	8	df	df	NOUN
ejpam-6005	223	9	dt	dt	NOUN
ejpam-6005	223	10	=	=	SYM
ejpam-6005	223	11	(	(	PUNCT
ejpam-6005	223	12	r01	r01	PROPN
ejpam-6005	223	13	−	−	PROPN
ejpam-6005	223	14	1	1	NUM
ejpam-6005	223	15	)	)	PUNCT
ejpam-6005	223	16	(	(	PUNCT
ejpam-6005	223	17	γ1	γ1	NOUN
ejpam-6005	223	18	+	+	CCONJ
ejpam-6005	223	19	d0	d0	NOUN
ejpam-6005	223	20	+	+	CCONJ
ejpam-6005	223	21	vf	vf	X
ejpam-6005	223	22	+	+	NUM
ejpam-6005	223	23	c1)if	c1)if	NOUN
ejpam-6005	223	24	+	+	CCONJ
ejpam-6005	223	25	(	(	PUNCT
ejpam-6005	223	26	r02	r02	VERB
ejpam-6005	223	27	−	−	PROPN
ejpam-6005	223	28	1	1	NUM
ejpam-6005	223	29	)	)	PUNCT
ejpam-6005	223	30	(	(	PUNCT
ejpam-6005	223	31	γ2	γ2	NOUN
ejpam-6005	223	32	+	+	CCONJ
ejpam-6005	223	33	d0	d0	NOUN
ejpam-6005	223	34	+	+	CCONJ
ejpam-6005	223	35	vc	vc	PROPN
ejpam-6005	223	36	+	+	CCONJ
ejpam-6005	223	37	c2)ic	c2)ic	PROPN
ejpam-6005	223	38	.	.	PUNCT
ejpam-6005	224	1	(	(	PUNCT
ejpam-6005	224	2	18	18	NUM
ejpam-6005	224	3	)	)	PUNCT
ejpam-6005	224	4	from	from	ADP
ejpam-6005	224	5	the	the	DET
ejpam-6005	224	6	principle	principle	NOUN
ejpam-6005	224	7	of	of	ADP
ejpam-6005	224	8	“	"	PUNCT
ejpam-6005	224	9	lasalle	lasalle	PROPN
ejpam-6005	224	10	’s	’s	PART
ejpam-6005	224	11	invariant	invariant	PROPN
ejpam-6005	224	12	”	"	PUNCT
ejpam-6005	224	13	,	,	PUNCT
ejpam-6005	224	14	df	df	PROPN
ejpam-6005	224	15	dt	dt	PROPN
ejpam-6005	224	16	is	be	AUX
ejpam-6005	224	17	equal	equal	ADJ
ejpam-6005	224	18	to	to	ADP
ejpam-6005	224	19	zero	zero	NUM
ejpam-6005	224	20	whenever	whenever	SCONJ
ejpam-6005	224	21	if	if	SCONJ
ejpam-6005	224	22	=	=	PRON
ejpam-6005	224	23	ic	ic	PROPN
ejpam-6005	224	24	=	=	NOUN
ejpam-6005	224	25	0	0	PROPN
ejpam-6005	224	26	.	.	PUNCT
ejpam-6005	225	1	also	also	ADV
ejpam-6005	225	2	,	,	PUNCT
ejpam-6005	225	3	we	we	PRON
ejpam-6005	225	4	see	see	VERB
ejpam-6005	225	5	that	that	SCONJ
ejpam-6005	225	6	if	if	SCONJ
ejpam-6005	225	7	r01	r01	PROPN
ejpam-6005	225	8	<	<	X
ejpam-6005	225	9	1	1	NUM
ejpam-6005	225	10	and	and	CCONJ
ejpam-6005	225	11	r02	r02	VERB
ejpam-6005	225	12	<	<	X
ejpam-6005	225	13	1	1	NUM
ejpam-6005	225	14	,	,	PUNCT
ejpam-6005	225	15	then	then	ADV
ejpam-6005	225	16	df	df	PROPN
ejpam-6005	225	17	dt	dt	PROPN
ejpam-6005	225	18	must	must	AUX
ejpam-6005	225	19	be	be	AUX
ejpam-6005	225	20	less	less	ADJ
ejpam-6005	225	21	than	than	ADP
ejpam-6005	225	22	zero	zero	NUM
ejpam-6005	225	23	,	,	PUNCT
ejpam-6005	225	24	which	which	PRON
ejpam-6005	225	25	follows	follow	VERB
ejpam-6005	225	26	the	the	DET
ejpam-6005	225	27	conclusion	conclusion	NOUN
ejpam-6005	225	28	.	.	PUNCT
ejpam-6005	226	1	5	5	X
ejpam-6005	226	2	.	.	X
ejpam-6005	226	3	sensitivity	sensitivity	NOUN
ejpam-6005	226	4	analysis	analysis	NOUN
ejpam-6005	226	5	of	of	ADP
ejpam-6005	226	6	the	the	DET
ejpam-6005	226	7	deterministic	deterministic	ADJ
ejpam-6005	226	8	model	model	NOUN
ejpam-6005	226	9	(	(	PUNCT
ejpam-6005	226	10	1	1	NUM
ejpam-6005	226	11	)	)	PUNCT
ejpam-6005	226	12	in	in	ADP
ejpam-6005	226	13	order	order	NOUN
ejpam-6005	226	14	to	to	PART
ejpam-6005	226	15	account	account	VERB
ejpam-6005	226	16	for	for	ADP
ejpam-6005	226	17	the	the	DET
ejpam-6005	226	18	factors	factor	NOUN
ejpam-6005	226	19	that	that	PRON
ejpam-6005	226	20	significantly	significantly	ADV
ejpam-6005	226	21	affect	affect	VERB
ejpam-6005	226	22	the	the	DET
ejpam-6005	226	23	basic	basic	ADJ
ejpam-6005	226	24	reproduction	reproduction	NOUN
ejpam-6005	226	25	number	number	NOUN
ejpam-6005	226	26	r0	r0	NOUN
ejpam-6005	226	27	,	,	PUNCT
ejpam-6005	226	28	we	we	PRON
ejpam-6005	226	29	present	present	VERB
ejpam-6005	226	30	the	the	DET
ejpam-6005	226	31	sensitivity	sensitivity	NOUN
ejpam-6005	226	32	analysis	analysis	NOUN
ejpam-6005	226	33	in	in	ADP
ejpam-6005	226	34	this	this	DET
ejpam-6005	226	35	section	section	NOUN
ejpam-6005	226	36	.	.	PUNCT
ejpam-6005	227	1	to	to	PART
ejpam-6005	227	2	figure	figure	VERB
ejpam-6005	227	3	out	out	ADP
ejpam-6005	227	4	the	the	DET
ejpam-6005	227	5	significance	significance	NOUN
ejpam-6005	227	6	of	of	ADP
ejpam-6005	227	7	the	the	DET
ejpam-6005	227	8	many	many	ADJ
ejpam-6005	227	9	factors	factor	NOUN
ejpam-6005	227	10	influencing	influence	VERB
ejpam-6005	227	11	the	the	DET
ejpam-6005	227	12	incidence	incidence	NOUN
ejpam-6005	227	13	and	and	CCONJ
ejpam-6005	227	14	spread	spread	VERB
ejpam-6005	227	15	of	of	ADP
ejpam-6005	227	16	disease	disease	NOUN
ejpam-6005	227	17	,	,	PUNCT
ejpam-6005	227	18	sensitivity	sensitivity	NOUN
ejpam-6005	227	19	analysis	analysis	NOUN
ejpam-6005	227	20	is	be	AUX
ejpam-6005	227	21	advised	advise	VERB
ejpam-6005	227	22	.	.	PUNCT
ejpam-6005	228	1	controlling	control	VERB
ejpam-6005	228	2	the	the	DET
ejpam-6005	228	3	system	system	NOUN
ejpam-6005	228	4	(	(	PUNCT
ejpam-6005	228	5	1	1	X
ejpam-6005	228	6	)	)	PUNCT
ejpam-6005	228	7	variables	variable	NOUN
ejpam-6005	228	8	is	be	AUX
ejpam-6005	228	9	essential	essential	ADJ
ejpam-6005	228	10	to	to	ADP
ejpam-6005	228	11	achieving	achieve	VERB
ejpam-6005	228	12	r01	r01	PROPN
ejpam-6005	228	13	<	<	X
ejpam-6005	228	14	1	1	NUM
ejpam-6005	228	15	or	or	CCONJ
ejpam-6005	228	16	r02	r02	VERB
ejpam-6005	228	17	<	<	X
ejpam-6005	228	18	1	1	NUM
ejpam-6005	228	19	,	,	PUNCT
ejpam-6005	228	20	in	in	ADP
ejpam-6005	228	21	addition	addition	NOUN
ejpam-6005	228	22	to	to	ADP
ejpam-6005	228	23	to	to	PART
ejpam-6005	228	24	prevent	prevent	VERB
ejpam-6005	228	25	the	the	DET
ejpam-6005	228	26	spread	spread	NOUN
ejpam-6005	228	27	of	of	ADP
ejpam-6005	228	28	illnesses	illness	NOUN
ejpam-6005	228	29	.	.	PUNCT
ejpam-6005	229	1	the	the	DET
ejpam-6005	229	2	formula	formula	NOUN
ejpam-6005	229	3	can	can	AUX
ejpam-6005	229	4	be	be	AUX
ejpam-6005	229	5	used	use	VERB
ejpam-6005	229	6	to	to	PART
ejpam-6005	229	7	determine	determine	VERB
ejpam-6005	229	8	the	the	DET
ejpam-6005	229	9	sensitivity	sensitivity	NOUN
ejpam-6005	229	10	index	index	NOUN
ejpam-6005	229	11	,	,	PUNCT
ejpam-6005	229	12	which	which	PRON
ejpam-6005	229	13	represents	represent	VERB
ejpam-6005	229	14	the	the	DET
ejpam-6005	229	15	proportion	proportion	NOUN
ejpam-6005	229	16	of	of	ADP
ejpam-6005	229	17	changes	change	NOUN
ejpam-6005	229	18	in	in	ADP
ejpam-6005	229	19	a	a	DET
ejpam-6005	229	20	variable	variable	NOUN
ejpam-6005	229	21	to	to	ADP
ejpam-6005	229	22	a	a	DET
ejpam-6005	229	23	parameter	parameter	NOUN
ejpam-6005	229	24	’s	’s	PART
ejpam-6005	229	25	change	change	NOUN
ejpam-6005	229	26	.	.	PUNCT
ejpam-6005	230	1	in	in	ADP
ejpam-6005	230	2	the	the	DET
ejpam-6005	230	3	following	follow	VERB
ejpam-6005	230	4	1	1	NUM
ejpam-6005	230	5	,	,	PUNCT
ejpam-6005	230	6	we	we	PRON
ejpam-6005	230	7	present	present	VERB
ejpam-6005	230	8	the	the	DET
ejpam-6005	230	9	sensitivity	sensitivity	NOUN
ejpam-6005	230	10	index	index	NOUN
ejpam-6005	230	11	of	of	ADP
ejpam-6005	230	12	each	each	DET
ejpam-6005	230	13	parameters	parameter	NOUN
ejpam-6005	230	14	,	,	PUNCT
ejpam-6005	230	15	involve	involve	VERB
ejpam-6005	230	16	in	in	ADP
ejpam-6005	230	17	the	the	DET
ejpam-6005	230	18	basic	basic	ADJ
ejpam-6005	230	19	reproduction	reproduction	NOUN
ejpam-6005	230	20	numbers	number	NOUN
ejpam-6005	230	21	r01	r01	PROPN
ejpam-6005	230	22	<	<	X
ejpam-6005	230	23	1	1	NUM
ejpam-6005	230	24	.	.	PUNCT
ejpam-6005	231	1	the	the	DET
ejpam-6005	231	2	formula	formula	NOUN
ejpam-6005	231	3	used	use	VERB
ejpam-6005	231	4	for	for	ADP
ejpam-6005	231	5	determining	determine	VERB
ejpam-6005	231	6	the	the	DET
ejpam-6005	231	7	the	the	DET
ejpam-6005	231	8	sensitivity	sensitivity	NOUN
ejpam-6005	231	9	index	index	NOUN
ejpam-6005	231	10	is	be	AUX
ejpam-6005	231	11	h[y	h[y	NOUN
ejpam-6005	231	12	]	]	X
ejpam-6005	231	13	=	=	SYM
ejpam-6005	231	14	x	x	PUNCT
ejpam-6005	231	15	r0	r0	NOUN
ejpam-6005	231	16	∂r0	∂r0	ADP
ejpam-6005	231	17	∂x	∂x	PROPN
ejpam-6005	231	18	,	,	PUNCT
ejpam-6005	231	19	where	where	SCONJ
ejpam-6005	231	20	x	x	PUNCT
ejpam-6005	231	21	mean	mean	VERB
ejpam-6005	231	22	parameter	parameter	NOUN
ejpam-6005	231	23	of	of	ADP
ejpam-6005	231	24	r0	r0	NOUN
ejpam-6005	231	25	.	.	PUNCT
ejpam-6005	232	1	parameters	parameter	NOUN
ejpam-6005	232	2	sensitivity	sensitivity	NOUN
ejpam-6005	232	3	index	index	NOUN
ejpam-6005	232	4	h(b	h(b	PROPN
ejpam-6005	232	5	)	)	PUNCT
ejpam-6005	232	6	1	1	NUM
ejpam-6005	232	7	h(k	h(k	PROPN
ejpam-6005	232	8	)	)	PUNCT
ejpam-6005	232	9	1	1	NUM
ejpam-6005	232	10	h(d0	h(d0	NOUN
ejpam-6005	232	11	)	)	PUNCT
ejpam-6005	232	12	-0.81	-0.81	NUM
ejpam-6005	232	13	h(ϕ	h(ϕ	NOUN
ejpam-6005	232	14	)	)	PUNCT
ejpam-6005	232	15	0.69	0.69	NUM
ejpam-6005	232	16	h(η	h(η	NOUN
ejpam-6005	232	17	)	)	PUNCT
ejpam-6005	232	18	-0.21	-0.21	NUM
ejpam-6005	232	19	h(γ1	h(γ1	NOUN
ejpam-6005	232	20	)	)	PUNCT
ejpam-6005	232	21	-0.78	-0.78	PROPN
ejpam-6005	232	22	h(γ2	h(γ2	PROPN
ejpam-6005	232	23	)	)	PUNCT
ejpam-6005	232	24	-0.50	-0.50	PROPN
ejpam-6005	232	25	h(c1	h(c1	PROPN
ejpam-6005	232	26	)	)	PUNCT
ejpam-6005	232	27	-0.78	-0.78	NUM
ejpam-6005	232	28	h(c2	h(c2	PROPN
ejpam-6005	232	29	)	)	PUNCT
ejpam-6005	232	30	-0.13	-0.13	NOUN
ejpam-6005	232	31	h(vf	h(vf	PROPN
ejpam-6005	232	32	)	)	PUNCT
ejpam-6005	232	33	-0.78	-0.78	NUM
ejpam-6005	232	34	h(vc	h(vc	PROPN
ejpam-6005	232	35	)	)	PUNCT
ejpam-6005	232	36	-0.67	-0.67	NOUN
ejpam-6005	232	37	table	table	NOUN
ejpam-6005	232	38	1	1	NUM
ejpam-6005	232	39	:	:	PUNCT
ejpam-6005	232	40	r01	r01	NOUN
ejpam-6005	232	41	and	and	CCONJ
ejpam-6005	232	42	r02	r02	PROPN
ejpam-6005	232	43	sensitivity	sensitivity	NOUN
ejpam-6005	232	44	index	index	NOUN
ejpam-6005	232	45	relative	relative	ADJ
ejpam-6005	232	46	to	to	ADP
ejpam-6005	232	47	system	system	NOUN
ejpam-6005	232	48	(	(	PUNCT
ejpam-6005	232	49	1	1	NUM
ejpam-6005	232	50	)	)	PUNCT
ejpam-6005	232	51	variables	variable	NOUN
ejpam-6005	232	52	.	.	PUNCT
ejpam-6005	232	53	)	)	PUNCT
ejpam-6005	233	1	it	it	PRON
ejpam-6005	233	2	is	be	AUX
ejpam-6005	233	3	clear	clear	ADJ
ejpam-6005	233	4	from	from	ADP
ejpam-6005	233	5	table	table	NOUN
ejpam-6005	233	6	(	(	PUNCT
ejpam-6005	233	7	1	1	NUM
ejpam-6005	233	8	)	)	PUNCT
ejpam-6005	233	9	and	and	CCONJ
ejpam-6005	233	10	fig	fig	NOUN
ejpam-6005	233	11	.	.	PUNCT
ejpam-6005	234	1	(	(	PUNCT
ejpam-6005	234	2	2	2	NUM
ejpam-6005	234	3	)	)	PUNCT
ejpam-6005	234	4	that	that	SCONJ
ejpam-6005	234	5	the	the	DET
ejpam-6005	234	6	variables	variable	NOUN
ejpam-6005	234	7	of	of	ADP
ejpam-6005	234	8	birth	birth	NOUN
ejpam-6005	234	9	rate	rate	NOUN
ejpam-6005	234	10	b	b	PROPN
ejpam-6005	234	11	,	,	PUNCT
ejpam-6005	234	12	constant	constant	ADJ
ejpam-6005	234	13	of	of	ADP
ejpam-6005	234	14	infection	infection	NOUN
ejpam-6005	234	15	and	and	CCONJ
ejpam-6005	234	16	influenza	influenza	NOUN
ejpam-6005	234	17	infection	infection	NOUN
ejpam-6005	234	18	rate	rate	NOUN
ejpam-6005	234	19	are	be	AUX
ejpam-6005	234	20	positive	positive	ADJ
ejpam-6005	234	21	so	so	SCONJ
ejpam-6005	234	22	there	there	PRON
ejpam-6005	234	23	increase	increase	VERB
ejpam-6005	234	24	while	while	SCONJ
ejpam-6005	234	25	effect	effect	NOUN
ejpam-6005	234	26	increasing	increase	VERB
ejpam-6005	234	27	in	in	ADP
ejpam-6005	234	28	the	the	DET
ejpam-6005	234	29	value	value	NOUN
ejpam-6005	234	30	of	of	ADP
ejpam-6005	234	31	r01	r01	PROPN
ejpam-6005	234	32	and	and	CCONJ
ejpam-6005	234	33	r02	r02	PROPN
ejpam-6005	234	34	.	.	PUNCT
ejpam-6005	235	1	on	on	ADP
ejpam-6005	235	2	the	the	DET
ejpam-6005	235	3	other	other	ADJ
ejpam-6005	235	4	hand	hand	NOUN
ejpam-6005	235	5	,	,	PUNCT
ejpam-6005	235	6	the	the	DET
ejpam-6005	235	7	values	value	NOUN
ejpam-6005	235	8	of	of	ADP
ejpam-6005	235	9	d0	d0	NOUN
ejpam-6005	235	10	,	,	PUNCT
ejpam-6005	235	11	η	η	PROPN
ejpam-6005	235	12	,	,	PUNCT
ejpam-6005	235	13	ϕ	ϕ	PROPN
ejpam-6005	235	14	,	,	PUNCT
ejpam-6005	235	15	γ1	γ1	NOUN
ejpam-6005	235	16	,	,	PUNCT
ejpam-6005	235	17	γ2	γ2	PROPN
ejpam-6005	235	18	,	,	PUNCT
ejpam-6005	235	19	c1	c1	PROPN
ejpam-6005	235	20	,	,	PUNCT
ejpam-6005	235	21	c2	c2	PROPN
ejpam-6005	235	22	,	,	PUNCT
ejpam-6005	235	23	vf	vf	X
ejpam-6005	235	24	,	,	PUNCT
ejpam-6005	235	25	and	and	CCONJ
ejpam-6005	235	26	vc	vc	PROPN
ejpam-6005	235	27	are	be	AUX
ejpam-6005	235	28	negative	negative	ADJ
ejpam-6005	235	29	so	so	SCONJ
ejpam-6005	235	30	their	their	PRON
ejpam-6005	235	31	increased	increase	VERB
ejpam-6005	235	32	which	which	PRON
ejpam-6005	235	33	follow	follow	VERB
ejpam-6005	235	34	decrease	decrease	NOUN
ejpam-6005	235	35	in	in	ADP
ejpam-6005	235	36	r01	r01	PROPN
ejpam-6005	235	37	and	and	CCONJ
ejpam-6005	235	38	r02	r02	PROPN
ejpam-6005	235	39	.	.	PUNCT
ejpam-6005	236	1	r.	r.	PROPN
ejpam-6005	236	2	ud	ud	PROPN
ejpam-6005	236	3	din	din	PROPN
ejpam-6005	236	4	,	,	PUNCT
ejpam-6005	236	5	m.	m.	PROPN
ejpam-6005	236	6	s.	s.	PROPN
ejpam-6005	236	7	arif	arif	PROPN
ejpam-6005	236	8	/	/	SYM
ejpam-6005	236	9	eur	eur	PROPN
ejpam-6005	236	10	.	.	PUNCT
ejpam-6005	237	1	j.	j.	PROPN
ejpam-6005	237	2	pure	pure	PROPN
ejpam-6005	237	3	appl	appl	PROPN
ejpam-6005	237	4	.	.	PROPN
ejpam-6005	237	5	math	math	PROPN
ejpam-6005	237	6	,	,	PUNCT
ejpam-6005	237	7	18	18	NUM
ejpam-6005	237	8	(	(	PUNCT
ejpam-6005	237	9	2	2	NUM
ejpam-6005	237	10	)	)	PUNCT
ejpam-6005	237	11	(	(	PUNCT
ejpam-6005	237	12	2025	2025	NUM
ejpam-6005	237	13	)	)	PUNCT
ejpam-6005	237	14	,	,	PUNCT
ejpam-6005	237	15	6005	6005	NUM
ejpam-6005	237	16	13	13	NUM
ejpam-6005	237	17	of	of	ADP
ejpam-6005	237	18	27	27	NUM
ejpam-6005	237	19	-1	-1	SYM
ejpam-6005	237	20	-0.8	-0.8	PROPN
ejpam-6005	237	21	-0.6	-0.6	X
ejpam-6005	237	22	-0.4	-0.4	X
ejpam-6005	237	23	-0.2	-0.2	PROPN
ejpam-6005	237	24	0	0	NUM
ejpam-6005	238	1	0.2	0.2	NUM
ejpam-6005	238	2	0.4	0.4	NUM
ejpam-6005	238	3	0.6	0.6	NUM
ejpam-6005	238	4	0.8	0.8	NUM
ejpam-6005	238	5	1	1	NUM
ejpam-6005	238	6	1.2	1.2	NUM
ejpam-6005	238	7	b	b	NOUN
ejpam-6005	238	8	k	k	PROPN
ejpam-6005	238	9	d_0	d_0	PROPN
ejpam-6005	238	10	ø	ø	PROPN
ejpam-6005	238	11	�	�	PROPN
ejpam-6005	238	12	�	�	PROPN
ejpam-6005	238	13	_	_	PROPN
ejpam-6005	238	14	1	1	NUM
ejpam-6005	238	15	�	�	NOUN
ejpam-6005	238	16	_	_	NOUN
ejpam-6005	238	17	1	1	NUM
ejpam-6005	238	18	c1	c1	PROPN
ejpam-6005	238	19	c2	c2	PROPN
ejpam-6005	238	20	vf	vf	PROPN
ejpam-6005	238	21	vc	vc	PROPN
ejpam-6005	238	22	v	v	PROPN
ejpam-6005	238	23	a	a	DET
ejpam-6005	238	24	lu	lu	NOUN
ejpam-6005	238	25	e	e	NOUN
ejpam-6005	238	26	s	s	PROPN
ejpam-6005	238	27	r_0	r_0	PROPN
ejpam-6005	238	28	sensitivity	sensitivity	NOUN
ejpam-6005	238	29	index	index	NOUN
ejpam-6005	238	30	figure	figure	NOUN
ejpam-6005	238	31	2	2	NUM
ejpam-6005	238	32	:	:	PUNCT
ejpam-6005	238	33	r01	r01	NOUN
ejpam-6005	238	34	and	and	CCONJ
ejpam-6005	238	35	r02	r02	PROPN
ejpam-6005	238	36	sensitivity	sensitivity	NOUN
ejpam-6005	238	37	index	index	NOUN
ejpam-6005	238	38	relative	relative	ADJ
ejpam-6005	238	39	to	to	ADP
ejpam-6005	238	40	system	system	NOUN
ejpam-6005	238	41	(	(	PUNCT
ejpam-6005	238	42	1	1	NUM
ejpam-6005	238	43	)	)	PUNCT
ejpam-6005	238	44	variables	variable	NOUN
ejpam-6005	238	45	.	.	PUNCT
ejpam-6005	239	1	6	6	X
ejpam-6005	239	2	.	.	X
ejpam-6005	239	3	numerical	numerical	PROPN
ejpam-6005	239	4	simulation	simulation	PROPN
ejpam-6005	239	5	through	through	ADP
ejpam-6005	239	6	nsfd	nsfd	NOUN
ejpam-6005	239	7	of	of	ADP
ejpam-6005	239	8	deterministic	deterministic	ADJ
ejpam-6005	239	9	model	model	NOUN
ejpam-6005	239	10	by	by	ADP
ejpam-6005	239	11	using	use	VERB
ejpam-6005	239	12	non	non	ADJ
ejpam-6005	239	13	-	-	ADJ
ejpam-6005	239	14	standard	standard	ADJ
ejpam-6005	239	15	finite	finite	ADJ
ejpam-6005	239	16	difference	difference	NOUN
ejpam-6005	239	17	scheme	scheme	NOUN
ejpam-6005	239	18	(	(	PUNCT
ejpam-6005	239	19	nsfd	nsfd	ADJ
ejpam-6005	239	20	)	)	PUNCT
ejpam-6005	240	1	[	[	X
ejpam-6005	240	2	28	28	NUM
ejpam-6005	240	3	?	?	NUM
ejpam-6005	240	4	,	,	PUNCT
ejpam-6005	240	5	29	29	NUM
ejpam-6005	240	6	]	]	PUNCT
ejpam-6005	240	7	,	,	PUNCT
ejpam-6005	240	8	we	we	PRON
ejpam-6005	240	9	plot	plot	VERB
ejpam-6005	240	10	the	the	DET
ejpam-6005	240	11	numerical	numerical	ADJ
ejpam-6005	240	12	simulation	simulation	NOUN
ejpam-6005	240	13	of	of	ADP
ejpam-6005	240	14	the	the	DET
ejpam-6005	240	15	deterministic	deterministic	ADJ
ejpam-6005	240	16	model	model	NOUN
ejpam-6005	240	17	(	(	PUNCT
ejpam-6005	240	18	1	1	NUM
ejpam-6005	240	19	)	)	PUNCT
ejpam-6005	240	20	in	in	ADP
ejpam-6005	240	21	this	this	DET
ejpam-6005	240	22	section	section	NOUN
ejpam-6005	240	23	.	.	PUNCT
ejpam-6005	241	1	first	first	ADV
ejpam-6005	241	2	,	,	PUNCT
ejpam-6005	241	3	the	the	DET
ejpam-6005	241	4	model	model	NOUN
ejpam-6005	241	5	equations	equation	NOUN
ejpam-6005	241	6	are	be	AUX
ejpam-6005	241	7	written	write	VERB
ejpam-6005	241	8	in	in	ADP
ejpam-6005	241	9	the	the	DET
ejpam-6005	241	10	following	following	ADJ
ejpam-6005	241	11	way	way	NOUN
ejpam-6005	241	12	,	,	PUNCT
ejpam-6005	241	13	as	as	SCONJ
ejpam-6005	241	14	consider	consider	VERB
ejpam-6005	241	15	the	the	DET
ejpam-6005	241	16	first	first	ADJ
ejpam-6005	241	17	equation	equation	NOUN
ejpam-6005	241	18	of	of	ADP
ejpam-6005	241	19	model	model	NOUN
ejpam-6005	241	20	(	(	PUNCT
ejpam-6005	241	21	1	1	NUM
ejpam-6005	241	22	)	)	PUNCT
ejpam-6005	241	23	,	,	PUNCT
ejpam-6005	242	1	ds	ds	NOUN
ejpam-6005	242	2	dt	dt	NOUN
ejpam-6005	242	3	=	=	SYM
ejpam-6005	242	4	b−ksi(βi	b−ksi(βi	NOUN
ejpam-6005	242	5	+	+	PROPN
ejpam-6005	242	6	1)−	1)−	NUM
ejpam-6005	242	7	d0s	d0	NOUN
ejpam-6005	242	8	+	+	X
ejpam-6005	242	9	rr	rr	NOUN
ejpam-6005	242	10	.	.	PUNCT
ejpam-6005	243	1	(	(	PUNCT
ejpam-6005	243	2	19	19	NUM
ejpam-6005	243	3	)	)	PUNCT
ejpam-6005	243	4	from	from	ADP
ejpam-6005	243	5	the	the	DET
ejpam-6005	243	6	non	non	ADJ
ejpam-6005	243	7	-	-	ADJ
ejpam-6005	243	8	standard	standard	ADJ
ejpam-6005	243	9	finite	finite	ADJ
ejpam-6005	243	10	difference	difference	NOUN
ejpam-6005	243	11	method	method	NOUN
ejpam-6005	243	12	,	,	PUNCT
ejpam-6005	243	13	we	we	PRON
ejpam-6005	243	14	decomposed	decompose	VERB
ejpam-6005	243	15	as	as	ADP
ejpam-6005	243	16	sj+1	sj+1	PRON
ejpam-6005	243	17	−	−	NUM
ejpam-6005	244	1	sj	sj	INTJ
ejpam-6005	244	2	h	h	NOUN
ejpam-6005	244	3	=	=	PUNCT
ejpam-6005	244	4	b−ksjij(βij	b−ksjij(βij	PROPN
ejpam-6005	244	5	+	+	PROPN
ejpam-6005	245	1	1)−	1)−	PROPN
ejpam-6005	245	2	d0sj	d0sj	NUM
ejpam-6005	246	1	+	+	CCONJ
ejpam-6005	246	2	rrj	rrj	ADV
ejpam-6005	246	3	.	.	PUNCT
ejpam-6005	247	1	(	(	PUNCT
ejpam-6005	247	2	20	20	NUM
ejpam-6005	247	3	)	)	PUNCT
ejpam-6005	247	4	like	like	ADP
ejpam-6005	247	5	(	(	PUNCT
ejpam-6005	247	6	20	20	NUM
ejpam-6005	247	7	)	)	PUNCT
ejpam-6005	247	8	,	,	PUNCT
ejpam-6005	247	9	we	we	PRON
ejpam-6005	247	10	decomposed	decompose	VERB
ejpam-6005	247	11	other	other	ADJ
ejpam-6005	247	12	equations	equation	NOUN
ejpam-6005	247	13	of	of	ADP
ejpam-6005	247	14	model	model	NOUN
ejpam-6005	247	15	(	(	PUNCT
ejpam-6005	247	16	1	1	NUM
ejpam-6005	247	17	)	)	PUNCT
ejpam-6005	247	18	by	by	ADP
ejpam-6005	247	19	using	use	VERB
ejpam-6005	247	20	none	none	NOUN
ejpam-6005	247	21	-	-	PUNCT
ejpam-6005	247	22	standard	standard	ADJ
ejpam-6005	247	23	finite	finite	ADJ
ejpam-6005	247	24	difference	difference	NOUN
ejpam-6005	247	25	method	method	NOUN
ejpam-6005	247	26	ej+1	ej+1	NOUN
ejpam-6005	247	27	=	=	SYM
ejpam-6005	247	28	ej	ej	PROPN
ejpam-6005	248	1	+	+	NUM
ejpam-6005	248	2	h	h	PROPN
ejpam-6005	248	3	(	(	PUNCT
ejpam-6005	248	4	ksjij(βij	ksjij(βij	PROPN
ejpam-6005	248	5	+	+	PROPN
ejpam-6005	248	6	1)−	1)−	PROPN
ejpam-6005	248	7	(	(	PUNCT
ejpam-6005	248	8	d0	d0	NOUN
ejpam-6005	248	9	+	+	CCONJ
ejpam-6005	248	10	η	η	PROPN
ejpam-6005	248	11	+	+	PROPN
ejpam-6005	248	12	ϕ)ej	ϕ)ej	PROPN
ejpam-6005	248	13	)	)	PUNCT
ejpam-6005	248	14	,	,	PUNCT
ejpam-6005	248	15	if(j+1	if(j+1	NOUN
ejpam-6005	248	16	)	)	PUNCT
ejpam-6005	248	17	=	=	SYM
ejpam-6005	248	18	i1(j	i1(j	NOUN
ejpam-6005	248	19	)	)	PUNCT
ejpam-6005	248	20	+	+	NUM
ejpam-6005	248	21	h	h	NOUN
ejpam-6005	248	22	(	(	PUNCT
ejpam-6005	248	23	ϕej	ϕej	INTJ
ejpam-6005	248	24	−	−	PROPN
ejpam-6005	248	25	(	(	PUNCT
ejpam-6005	248	26	γ1	γ1	NOUN
ejpam-6005	248	27	+	+	CCONJ
ejpam-6005	248	28	d0	d0	NOUN
ejpam-6005	248	29	+	+	CCONJ
ejpam-6005	248	30	vf	vf	X
ejpam-6005	248	31	+	+	CCONJ
ejpam-6005	248	32	c1)i1j	c1)i1j	NOUN
ejpam-6005	248	33	)	)	PUNCT
ejpam-6005	248	34	,	,	PUNCT
ejpam-6005	248	35	ic(j+1	ic(j+1	X
ejpam-6005	248	36	)	)	PUNCT
ejpam-6005	248	37	=	=	SYM
ejpam-6005	248	38	2(j	2(j	NUM
ejpam-6005	248	39	)	)	PUNCT
ejpam-6005	249	1	+	+	NUM
ejpam-6005	249	2	h	h	NOUN
ejpam-6005	249	3	(	(	PUNCT
ejpam-6005	249	4	ηej	ηej	PROPN
ejpam-6005	249	5	−	−	PROPN
ejpam-6005	249	6	(	(	PUNCT
ejpam-6005	249	7	γ2	γ2	PROPN
ejpam-6005	249	8	+	+	CCONJ
ejpam-6005	249	9	vc	vc	PROPN
ejpam-6005	249	10	+	+	CCONJ
ejpam-6005	249	11	d0	d0	PROPN
ejpam-6005	249	12	+	+	CCONJ
ejpam-6005	249	13	c2)ij	c2)ij	PROPN
ejpam-6005	249	14	)	)	PUNCT
ejpam-6005	249	15	,	,	PUNCT
ejpam-6005	249	16	vj+1	vj+1	X
ejpam-6005	249	17	=	=	SYM
ejpam-6005	249	18	vj	vj	NOUN
ejpam-6005	249	19	+	+	NUM
ejpam-6005	249	20	h	h	NOUN
ejpam-6005	249	21	(	(	PUNCT
ejpam-6005	249	22	vfi1j	vfi1j	X
ejpam-6005	249	23	+	+	X
ejpam-6005	249	24	vci2j	vci2j	X
ejpam-6005	249	25	+	+	NUM
ejpam-6005	249	26	v3cj	v3cj	PUNCT
ejpam-6005	249	27	−	−	PROPN
ejpam-6005	249	28	γ3vj	γ3vj	PUNCT
ejpam-6005	249	29	)	)	PUNCT
ejpam-6005	249	30	,	,	PUNCT
ejpam-6005	249	31	rj+1	rj+1	X
ejpam-6005	249	32	=	=	SYM
ejpam-6005	249	33	rj	rj	PROPN
ejpam-6005	250	1	+	+	NUM
ejpam-6005	250	2	h	h	PROPN
ejpam-6005	250	3	(	(	PUNCT
ejpam-6005	250	4	γ1i1j	γ1i1j	PUNCT
ejpam-6005	250	5	+	+	NUM
ejpam-6005	250	6	γ2i2j	γ2i2j	NUM
ejpam-6005	250	7	+	+	CCONJ
ejpam-6005	250	8	γ3vj	γ3vj	X
ejpam-6005	250	9	−	−	PUNCT
ejpam-6005	250	10	(	(	PUNCT
ejpam-6005	250	11	r	r	NOUN
ejpam-6005	250	12	+	+	CCONJ
ejpam-6005	250	13	d0)rj	d0)rj	NOUN
ejpam-6005	250	14	)	)	PUNCT
ejpam-6005	250	15	,	,	PUNCT
ejpam-6005	250	16	cj+1	cj+1	NUM
ejpam-6005	250	17	=	=	SYM
ejpam-6005	250	18	cj	cj	NOUN
ejpam-6005	251	1	+	+	NUM
ejpam-6005	251	2	h	h	NOUN
ejpam-6005	251	3	(	(	PUNCT
ejpam-6005	251	4	c1i1j	c1i1j	X
ejpam-6005	251	5	+	+	CCONJ
ejpam-6005	251	6	c2i2j	c2i2j	NUM
ejpam-6005	251	7	−	−	PROPN
ejpam-6005	251	8	(	(	PUNCT
ejpam-6005	251	9	v3	v3	PROPN
ejpam-6005	251	10	+	+	CCONJ
ejpam-6005	251	11	d0)cj	d0)cj	PROPN
ejpam-6005	251	12	)	)	PUNCT
ejpam-6005	251	13	.	.	PUNCT
ejpam-6005	252	1	r.	r.	PROPN
ejpam-6005	252	2	ud	ud	PROPN
ejpam-6005	252	3	din	din	PROPN
ejpam-6005	252	4	,	,	PUNCT
ejpam-6005	252	5	m.	m.	PROPN
ejpam-6005	252	6	s.	s.	PROPN
ejpam-6005	252	7	arif	arif	PROPN
ejpam-6005	252	8	/	/	SYM
ejpam-6005	252	9	eur	eur	PROPN
ejpam-6005	252	10	.	.	PUNCT
ejpam-6005	253	1	j.	j.	PROPN
ejpam-6005	253	2	pure	pure	PROPN
ejpam-6005	253	3	appl	appl	PROPN
ejpam-6005	253	4	.	.	PROPN
ejpam-6005	253	5	math	math	PROPN
ejpam-6005	253	6	,	,	PUNCT
ejpam-6005	253	7	18	18	NUM
ejpam-6005	253	8	(	(	PUNCT
ejpam-6005	253	9	2	2	NUM
ejpam-6005	253	10	)	)	PUNCT
ejpam-6005	253	11	(	(	PUNCT
ejpam-6005	253	12	2025	2025	NUM
ejpam-6005	253	13	)	)	PUNCT
ejpam-6005	253	14	,	,	PUNCT
ejpam-6005	253	15	6005	6005	NUM
ejpam-6005	253	16	14	14	NUM
ejpam-6005	253	17	of	of	ADP
ejpam-6005	253	18	27	27	NUM
ejpam-6005	253	19	variable	variable	ADJ
ejpam-6005	253	20	numerical	numerical	ADJ
ejpam-6005	253	21	values	value	NOUN
ejpam-6005	253	22	variable	variable	PROPN
ejpam-6005	253	23	numerical	numerical	PROPN
ejpam-6005	253	24	s	s	PROPN
ejpam-6005	253	25	0.4540197	0.4540197	NUM
ejpam-6005	253	26	million	million	NUM
ejpam-6005	253	27	ϕ	ϕ	NOUN
ejpam-6005	253	28	0.12	0.12	NUM
ejpam-6005	253	29	e	e	NOUN
ejpam-6005	253	30	0.0030000	0.0030000	NUM
ejpam-6005	253	31	million	million	NUM
ejpam-6005	253	32	γ1	γ1	NOUN
ejpam-6005	253	33	0.015	0.015	NUM
ejpam-6005	253	34	if	if	SCONJ
ejpam-6005	253	35	0.0001455	0.0001455	NUM
ejpam-6005	253	36	million	million	NUM
ejpam-6005	253	37	γ2	γ2	NOUN
ejpam-6005	253	38	0.0667	0.0667	NUM
ejpam-6005	253	39	ic	ic	PROPN
ejpam-6005	253	40	0.1428015	0.1428015	NUM
ejpam-6005	253	41	million	million	NUM
ejpam-6005	253	42	c1	c1	NOUN
ejpam-6005	253	43	0.1	0.1	NUM
ejpam-6005	253	44	v	v	ADP
ejpam-6005	253	45	0.0141480	0.0141480	NUM
ejpam-6005	253	46	million	million	NUM
ejpam-6005	253	47	c2	c2	PROPN
ejpam-6005	253	48	0.005	0.005	NUM
ejpam-6005	253	49	r	r	NOUN
ejpam-6005	253	50	0.2700000	0.2700000	NUM
ejpam-6005	253	51	million	million	NUM
ejpam-6005	253	52	η	η	PROPN
ejpam-6005	253	53	0.3425	0.3425	NUM
ejpam-6005	253	54	c	c	NOUN
ejpam-6005	253	55	0.0170000	0.0170000	NUM
ejpam-6005	253	56	million	million	NUM
ejpam-6005	253	57	b	b	NOUN
ejpam-6005	253	58	0.002500	0.002500	NUM
ejpam-6005	253	59	d0	d0	NOUN
ejpam-6005	253	60	0.01	0.01	NUM
ejpam-6005	253	61	β	β	NOUN
ejpam-6005	253	62	0.12	0.12	NUM
ejpam-6005	253	63	k	k	NOUN
ejpam-6005	253	64	0.1175	0.1175	NUM
ejpam-6005	253	65	r	r	NOUN
ejpam-6005	253	66	0.000167	0.000167	NUM
ejpam-6005	253	67	vf	vf	X
ejpam-6005	253	68	0.003	0.003	NUM
ejpam-6005	253	69	vc	vc	PROPN
ejpam-6005	253	70	0.0015	0.0015	NUM
ejpam-6005	253	71	γ3	γ3	NOUN
ejpam-6005	253	72	0.036	0.036	NUM
ejpam-6005	253	73	table	table	NOUN
ejpam-6005	253	74	2	2	NUM
ejpam-6005	253	75	:	:	PUNCT
ejpam-6005	253	76	the	the	DET
ejpam-6005	253	77	parameters	parameter	NOUN
ejpam-6005	253	78	of	of	ADP
ejpam-6005	253	79	the	the	DET
ejpam-6005	253	80	system	system	NOUN
ejpam-6005	253	81	are	be	AUX
ejpam-6005	253	82	described	describe	VERB
ejpam-6005	253	83	and	and	CCONJ
ejpam-6005	253	84	specified	specify	VERB
ejpam-6005	253	85	,	,	PUNCT
ejpam-6005	253	86	with	with	ADP
ejpam-6005	253	87	approximate	approximate	ADJ
ejpam-6005	253	88	real	real	ADJ
ejpam-6005	253	89	values	value	NOUN
ejpam-6005	253	90	(	(	PUNCT
ejpam-6005	253	91	1	1	NUM
ejpam-6005	253	92	)	)	PUNCT
ejpam-6005	253	93	.	.	PUNCT
ejpam-6005	254	1	t	t	NOUN
ejpam-6005	254	2	0	0	NUM
ejpam-6005	254	3	5	5	NUM
ejpam-6005	254	4	10	10	NUM
ejpam-6005	254	5	15	15	NUM
ejpam-6005	254	6	20	20	NUM
ejpam-6005	254	7	25	25	NUM
ejpam-6005	254	8	30	30	NUM
ejpam-6005	254	9	35	35	NUM
ejpam-6005	254	10	40	40	NUM
ejpam-6005	254	11	s	s	NOUN
ejpam-6005	254	12	u	u	NOUN
ejpam-6005	254	13	s	s	PRON
ejpam-6005	254	14	c	c	NOUN
ejpam-6005	254	15	e	e	NOUN
ejpam-6005	254	16	p	p	X
ejpam-6005	254	17	ti	ti	PROPN
ejpam-6005	254	18	b	b	X
ejpam-6005	254	19	le	le	X
ejpam-6005	254	20	c	c	X
ejpam-6005	254	21	la	la	PROPN
ejpam-6005	254	22	s	s	PROPN
ejpam-6005	254	23	s	s	PROPN
ejpam-6005	254	24	0.28	0.28	NUM
ejpam-6005	254	25	0.3	0.3	NUM
ejpam-6005	254	26	0.32	0.32	NUM
ejpam-6005	254	27	0.34	0.34	NUM
ejpam-6005	254	28	0.36	0.36	NUM
ejpam-6005	254	29	0.38	0.38	NUM
ejpam-6005	254	30	0.4	0.4	NUM
ejpam-6005	254	31	0.42	0.42	NUM
ejpam-6005	254	32	0.44	0.44	NUM
ejpam-6005	254	33	0.46	0.46	NUM
ejpam-6005	254	34	region	region	NOUN
ejpam-6005	254	35	1	1	NUM
ejpam-6005	254	36	region	region	NOUN
ejpam-6005	254	37	2	2	NUM
ejpam-6005	254	38	figure	figure	NOUN
ejpam-6005	254	39	3	3	NUM
ejpam-6005	254	40	:	:	PUNCT
ejpam-6005	254	41	graph	graph	NOUN
ejpam-6005	254	42	of	of	ADP
ejpam-6005	254	43	numerical	numerical	ADJ
ejpam-6005	254	44	solutions	solution	NOUN
ejpam-6005	254	45	using	use	VERB
ejpam-6005	254	46	the	the	DET
ejpam-6005	254	47	nsfd	nsfd	ADJ
ejpam-6005	254	48	technique	technique	NOUN
ejpam-6005	254	49	for	for	ADP
ejpam-6005	254	50	the	the	DET
ejpam-6005	254	51	deterministic	deterministic	ADJ
ejpam-6005	254	52	model	model	NOUN
ejpam-6005	254	53	(	(	PUNCT
ejpam-6005	254	54	1	1	NUM
ejpam-6005	254	55	)	)	PUNCT
ejpam-6005	254	56	susceptible	susceptible	ADJ
ejpam-6005	254	57	compartment	compartment	NOUN
ejpam-6005	254	58	.	.	PUNCT
ejpam-6005	255	1	by	by	ADP
ejpam-6005	255	2	using	use	VERB
ejpam-6005	255	3	nsfd	nsfd	ADJ
ejpam-6005	255	4	scheme	scheme	NOUN
ejpam-6005	255	5	,	,	PUNCT
ejpam-6005	255	6	we	we	PRON
ejpam-6005	255	7	simulate	simulate	VERB
ejpam-6005	255	8	the	the	DET
ejpam-6005	255	9	system	system	NOUN
ejpam-6005	255	10	(	(	PUNCT
ejpam-6005	255	11	1	1	X
ejpam-6005	255	12	)	)	PUNCT
ejpam-6005	255	13	utilizing	utilize	VERB
ejpam-6005	255	14	the	the	DET
ejpam-6005	255	15	numerical	numerical	ADJ
ejpam-6005	255	16	values	value	NOUN
ejpam-6005	255	17	listed	list	VERB
ejpam-6005	255	18	in	in	ADP
ejpam-6005	255	19	the	the	DET
ejpam-6005	255	20	2	2	NUM
ejpam-6005	255	21	taking	take	VERB
ejpam-6005	255	22	the	the	DET
ejpam-6005	255	23	values	value	NOUN
ejpam-6005	255	24	from	from	ADP
ejpam-6005	255	25	[	[	X
ejpam-6005	255	26	4	4	NUM
ejpam-6005	255	27	]	]	PUNCT
ejpam-6005	255	28	.	.	PUNCT
ejpam-6005	256	1	it	it	PRON
ejpam-6005	256	2	is	be	AUX
ejpam-6005	256	3	apparent	apparent	ADJ
ejpam-6005	256	4	in	in	ADP
ejpam-6005	256	5	fig.3	fig.3	PROPN
ejpam-6005	256	6	to	to	ADP
ejpam-6005	256	7	fig.9	fig.9	PROPN
ejpam-6005	256	8	,	,	PUNCT
ejpam-6005	256	9	the	the	DET
ejpam-6005	256	10	findings	finding	NOUN
ejpam-6005	256	11	that	that	PRON
ejpam-6005	256	12	the	the	DET
ejpam-6005	256	13	recovered	recovered	ADJ
ejpam-6005	256	14	populations	population	NOUN
ejpam-6005	256	15	grow	grow	VERB
ejpam-6005	256	16	slowly	slowly	ADV
ejpam-6005	256	17	and	and	CCONJ
ejpam-6005	256	18	eventually	eventually	ADV
ejpam-6005	256	19	stable	stable	ADJ
ejpam-6005	256	20	at	at	ADP
ejpam-6005	256	21	the	the	DET
ejpam-6005	256	22	top	top	NOUN
ejpam-6005	256	23	,	,	PUNCT
ejpam-6005	256	24	while	while	SCONJ
ejpam-6005	256	25	the	the	DET
ejpam-6005	256	26	susceptible	susceptible	ADJ
ejpam-6005	256	27	and	and	CCONJ
ejpam-6005	256	28	exposed	exposed	ADJ
ejpam-6005	256	29	populations	population	NOUN
ejpam-6005	256	30	progressively	progressively	ADV
ejpam-6005	256	31	decline	decline	VERB
ejpam-6005	256	32	toward	toward	ADP
ejpam-6005	256	33	zero	zero	NUM
ejpam-6005	256	34	throughout	throughout	ADP
ejpam-6005	256	35	the	the	DET
ejpam-6005	256	36	first	first	ADJ
ejpam-6005	256	37	50	50	NUM
ejpam-6005	256	38	days	day	NOUN
ejpam-6005	256	39	,	,	PUNCT
ejpam-6005	256	40	by	by	ADP
ejpam-6005	256	41	using	use	VERB
ejpam-6005	256	42	a	a	DET
ejpam-6005	256	43	table.2	table.2	NOUN
ejpam-6005	256	44	and	and	CCONJ
ejpam-6005	256	45	graph	graph	VERB
ejpam-6005	256	46	the	the	DET
ejpam-6005	256	47	numerical	numerical	ADJ
ejpam-6005	256	48	data	datum	NOUN
ejpam-6005	256	49	using	use	VERB
ejpam-6005	256	50	the	the	DET
ejpam-6005	256	51	nsfd	nsfd	ADJ
ejpam-6005	256	52	method	method	NOUN
ejpam-6005	256	53	.	.	PUNCT
ejpam-6005	257	1	as	as	SCONJ
ejpam-6005	257	2	predicted	predict	VERB
ejpam-6005	257	3	,	,	PUNCT
ejpam-6005	257	4	the	the	DET
ejpam-6005	257	5	covid-19	covid-19	PROPN
ejpam-6005	257	6	infected	infected	ADJ
ejpam-6005	257	7	and	and	CCONJ
ejpam-6005	257	8	influenza	influenza	NOUN
ejpam-6005	257	9	infected	infect	VERB
ejpam-6005	257	10	populations	population	NOUN
ejpam-6005	257	11	steadily	steadily	ADV
ejpam-6005	257	12	declines	decline	VERB
ejpam-6005	257	13	after	after	ADP
ejpam-6005	257	14	one	one	NUM
ejpam-6005	257	15	week	week	NOUN
ejpam-6005	257	16	.	.	PUNCT
ejpam-6005	258	1	initially	initially	ADV
ejpam-6005	258	2	co	co	VERB
ejpam-6005	258	3	-	-	ADJ
ejpam-6005	258	4	infected	infected	ADJ
ejpam-6005	258	5	populations	population	NOUN
ejpam-6005	258	6	increased	increase	VERB
ejpam-6005	258	7	significantly	significantly	ADV
ejpam-6005	258	8	in	in	ADP
ejpam-6005	258	9	first	first	ADJ
ejpam-6005	258	10	two	two	NUM
ejpam-6005	258	11	week	week	NOUN
ejpam-6005	258	12	,	,	PUNCT
ejpam-6005	258	13	but	but	CCONJ
ejpam-6005	258	14	after	after	ADP
ejpam-6005	258	15	two	two	NUM
ejpam-6005	258	16	week	week	NOUN
ejpam-6005	258	17	it	it	PRON
ejpam-6005	258	18	start	start	VERB
ejpam-6005	258	19	decline	decline	VERB
ejpam-6005	258	20	and	and	CCONJ
ejpam-6005	258	21	become	become	VERB
ejpam-6005	258	22	stable	stable	ADJ
ejpam-6005	258	23	in	in	ADP
ejpam-6005	258	24	50	50	NUM
ejpam-6005	258	25	days	day	NOUN
ejpam-6005	258	26	.	.	PUNCT
ejpam-6005	259	1	also	also	ADV
ejpam-6005	259	2	,	,	PUNCT
ejpam-6005	259	3	when	when	SCONJ
ejpam-6005	259	4	infection	infection	NOUN
ejpam-6005	259	5	decreased	decrease	VERB
ejpam-6005	259	6	the	the	DET
ejpam-6005	259	7	vaccinated	vaccinated	ADJ
ejpam-6005	259	8	individuals	individual	NOUN
ejpam-6005	259	9	and	and	CCONJ
ejpam-6005	259	10	recovered	recover	VERB
ejpam-6005	259	11	become	become	VERB
ejpam-6005	259	12	stabilize	stabilize	NOUN
ejpam-6005	259	13	.	.	PUNCT
ejpam-6005	260	1	these	these	DET
ejpam-6005	260	2	findings	finding	NOUN
ejpam-6005	260	3	support	support	NOUN
ejpam-6005	260	4	theorem	theorem	VERB
ejpam-6005	260	5	3.1	3.1	NUM
ejpam-6005	260	6	,	,	PUNCT
ejpam-6005	260	7	which	which	PRON
ejpam-6005	260	8	states	state	VERB
ejpam-6005	260	9	that	that	SCONJ
ejpam-6005	260	10	the	the	DET
ejpam-6005	260	11	disease	disease	NOUN
ejpam-6005	260	12	dies	die	VERB
ejpam-6005	260	13	out	out	ADP
ejpam-6005	260	14	whenever	whenever	SCONJ
ejpam-6005	260	15	the	the	DET
ejpam-6005	260	16	basic	basic	ADJ
ejpam-6005	260	17	reproduction	reproduction	NOUN
ejpam-6005	260	18	number	number	NOUN
ejpam-6005	260	19	less	less	ADJ
ejpam-6005	260	20	then	then	ADV
ejpam-6005	260	21	1	1	X
ejpam-6005	260	22	.	.	PUNCT
ejpam-6005	260	23	additionally	additionally	ADV
ejpam-6005	260	24	,	,	PUNCT
ejpam-6005	260	25	it	it	PRON
ejpam-6005	260	26	indicates	indicate	VERB
ejpam-6005	260	27	that	that	SCONJ
ejpam-6005	260	28	the	the	DET
ejpam-6005	260	29	sars	sar	NOUN
ejpam-6005	260	30	-	-	PUNCT
ejpam-6005	260	31	cov-2	cov-2	PART
ejpam-6005	260	32	virus	virus	NOUN
ejpam-6005	260	33	will	will	AUX
ejpam-6005	260	34	be	be	AUX
ejpam-6005	260	35	eliminate	eliminate	VERB
ejpam-6005	260	36	from	from	ADP
ejpam-6005	260	37	the	the	DET
ejpam-6005	260	38	population	population	NOUN
ejpam-6005	260	39	in	in	ADP
ejpam-6005	260	40	50	50	NUM
ejpam-6005	260	41	days	day	NOUN
ejpam-6005	260	42	.	.	PUNCT
ejpam-6005	261	1	r.	r.	PROPN
ejpam-6005	261	2	ud	ud	PROPN
ejpam-6005	261	3	din	din	PROPN
ejpam-6005	261	4	,	,	PUNCT
ejpam-6005	261	5	m.	m.	PROPN
ejpam-6005	261	6	s.	s.	PROPN
ejpam-6005	261	7	arif	arif	PROPN
ejpam-6005	261	8	/	/	SYM
ejpam-6005	261	9	eur	eur	PROPN
ejpam-6005	261	10	.	.	PUNCT
ejpam-6005	262	1	j.	j.	PROPN
ejpam-6005	262	2	pure	pure	PROPN
ejpam-6005	262	3	appl	appl	PROPN
ejpam-6005	262	4	.	.	PROPN
ejpam-6005	262	5	math	math	PROPN
ejpam-6005	262	6	,	,	PUNCT
ejpam-6005	262	7	18	18	NUM
ejpam-6005	262	8	(	(	PUNCT
ejpam-6005	262	9	2	2	NUM
ejpam-6005	262	10	)	)	PUNCT
ejpam-6005	262	11	(	(	PUNCT
ejpam-6005	262	12	2025	2025	NUM
ejpam-6005	262	13	)	)	PUNCT
ejpam-6005	262	14	,	,	PUNCT
ejpam-6005	262	15	6005	6005	NUM
ejpam-6005	262	16	15	15	NUM
ejpam-6005	262	17	of	of	ADP
ejpam-6005	262	18	27	27	NUM
ejpam-6005	262	19	t	t	NOUN
ejpam-6005	262	20	0	0	NUM
ejpam-6005	262	21	5	5	NUM
ejpam-6005	262	22	10	10	NUM
ejpam-6005	262	23	15	15	NUM
ejpam-6005	262	24	20	20	NUM
ejpam-6005	262	25	25	25	NUM
ejpam-6005	262	26	30	30	NUM
ejpam-6005	262	27	35	35	NUM
ejpam-6005	262	28	40	40	NUM
ejpam-6005	262	29	e	e	NOUN
ejpam-6005	262	30	x	x	X
ejpam-6005	263	1	p	p	X
ejpam-6005	263	2	o	o	X
ejpam-6005	263	3	s	s	X
ejpam-6005	263	4	e	e	X
ejpam-6005	263	5	d	d	X
ejpam-6005	263	6	c	c	X
ejpam-6005	263	7	la	la	PROPN
ejpam-6005	263	8	s	s	NOUN
ejpam-6005	263	9	s	s	NOUN
ejpam-6005	263	10	×10	×10	NOUN
ejpam-6005	263	11	-	-	SYM
ejpam-6005	263	12	3	3	NUM
ejpam-6005	263	13	2	2	NUM
ejpam-6005	263	14	4	4	NUM
ejpam-6005	263	15	6	6	NUM
ejpam-6005	263	16	8	8	NUM
ejpam-6005	263	17	10	10	NUM
ejpam-6005	263	18	12	12	NUM
ejpam-6005	263	19	14	14	NUM
ejpam-6005	263	20	region	region	NOUN
ejpam-6005	263	21	1	1	NUM
ejpam-6005	263	22	region	region	NOUN
ejpam-6005	263	23	2	2	NUM
ejpam-6005	263	24	figure	figure	NOUN
ejpam-6005	263	25	4	4	NUM
ejpam-6005	263	26	:	:	PUNCT
ejpam-6005	263	27	graph	graph	NOUN
ejpam-6005	263	28	of	of	ADP
ejpam-6005	263	29	numerical	numerical	ADJ
ejpam-6005	263	30	solutions	solution	NOUN
ejpam-6005	263	31	using	use	VERB
ejpam-6005	263	32	the	the	DET
ejpam-6005	263	33	nsfd	nsfd	ADJ
ejpam-6005	263	34	technique	technique	NOUN
ejpam-6005	263	35	for	for	ADP
ejpam-6005	263	36	the	the	DET
ejpam-6005	263	37	deterministic	deterministic	ADJ
ejpam-6005	263	38	model	model	NOUN
ejpam-6005	263	39	(	(	PUNCT
ejpam-6005	263	40	1	1	NUM
ejpam-6005	263	41	)	)	PUNCT
ejpam-6005	263	42	exposed	expose	VERB
ejpam-6005	263	43	compartment	compartment	NOUN
ejpam-6005	263	44	.	.	PUNCT
ejpam-6005	264	1	t	t	NOUN
ejpam-6005	264	2	0	0	NUM
ejpam-6005	264	3	5	5	NUM
ejpam-6005	264	4	10	10	NUM
ejpam-6005	264	5	15	15	NUM
ejpam-6005	264	6	20	20	NUM
ejpam-6005	264	7	25	25	NUM
ejpam-6005	264	8	30	30	NUM
ejpam-6005	264	9	35	35	NUM
ejpam-6005	264	10	40	40	NUM
ejpam-6005	264	11	in	in	ADP
ejpam-6005	264	12	fl	fl	NUM
ejpam-6005	264	13	u	u	PROPN
ejpam-6005	264	14	e	e	PROPN
ejpam-6005	264	15	n	n	PROPN
ejpam-6005	264	16	z	z	PROPN
ejpam-6005	264	17	a	a	DET
ejpam-6005	264	18	i	i	PRON
ejpam-6005	264	19	n	n	X
ejpam-6005	264	20	fe	fe	X
ejpam-6005	264	21	c	c	X
ejpam-6005	264	22	te	te	PROPN
ejpam-6005	264	23	d	d	PROPN
ejpam-6005	264	24	×10	×10	PROPN
ejpam-6005	264	25	-	-	SYM
ejpam-6005	264	26	3	3	NUM
ejpam-6005	264	27	0	0	NUM
ejpam-6005	264	28	1	1	NUM
ejpam-6005	264	29	2	2	NUM
ejpam-6005	264	30	3	3	NUM
ejpam-6005	264	31	4	4	NUM
ejpam-6005	264	32	5	5	NUM
ejpam-6005	264	33	6	6	NUM
ejpam-6005	264	34	7	7	NUM
ejpam-6005	264	35	8	8	NUM
ejpam-6005	264	36	region	region	NOUN
ejpam-6005	264	37	1	1	NUM
ejpam-6005	264	38	region	region	NOUN
ejpam-6005	264	39	2	2	NUM
ejpam-6005	264	40	figure	figure	NOUN
ejpam-6005	264	41	5	5	NUM
ejpam-6005	264	42	:	:	PUNCT
ejpam-6005	264	43	graph	graph	NOUN
ejpam-6005	264	44	of	of	ADP
ejpam-6005	264	45	numerical	numerical	ADJ
ejpam-6005	264	46	solutions	solution	NOUN
ejpam-6005	264	47	using	use	VERB
ejpam-6005	264	48	the	the	DET
ejpam-6005	264	49	nsfd	nsfd	ADJ
ejpam-6005	264	50	technique	technique	NOUN
ejpam-6005	264	51	for	for	ADP
ejpam-6005	264	52	the	the	DET
ejpam-6005	264	53	deterministic	deterministic	ADJ
ejpam-6005	264	54	model	model	NOUN
ejpam-6005	264	55	(	(	PUNCT
ejpam-6005	264	56	1	1	X
ejpam-6005	264	57	)	)	PUNCT
ejpam-6005	264	58	influenza	influenza	NOUN
ejpam-6005	264	59	infected	infect	VERB
ejpam-6005	264	60	compartment	compartment	NOUN
ejpam-6005	264	61	.	.	PUNCT
ejpam-6005	265	1	7	7	X
ejpam-6005	265	2	.	.	X
ejpam-6005	265	3	stochastic	stochastic	ADJ
ejpam-6005	265	4	model	model	NOUN
ejpam-6005	265	5	here	here	ADV
ejpam-6005	265	6	,	,	PUNCT
ejpam-6005	265	7	we	we	PRON
ejpam-6005	265	8	introduce	introduce	VERB
ejpam-6005	265	9	the	the	DET
ejpam-6005	265	10	influence	influence	NOUN
ejpam-6005	265	11	of	of	ADP
ejpam-6005	265	12	environmental	environmental	ADJ
ejpam-6005	265	13	white	white	ADJ
ejpam-6005	265	14	noise	noise	NOUN
ejpam-6005	265	15	to	to	PART
ejpam-6005	265	16	transform	transform	VERB
ejpam-6005	265	17	the	the	DET
ejpam-6005	265	18	previously	previously	ADV
ejpam-6005	265	19	proposed	propose	VERB
ejpam-6005	265	20	deterministic	deterministic	ADJ
ejpam-6005	265	21	system	system	NOUN
ejpam-6005	265	22	(	(	PUNCT
ejpam-6005	265	23	1	1	NUM
ejpam-6005	265	24	)	)	PUNCT
ejpam-6005	265	25	into	into	ADP
ejpam-6005	265	26	a	a	DET
ejpam-6005	265	27	stochastic	stochastic	ADJ
ejpam-6005	265	28	model	model	NOUN
ejpam-6005	265	29	.	.	PUNCT
ejpam-6005	266	1	we	we	PRON
ejpam-6005	266	2	accomplish	accomplish	VERB
ejpam-6005	266	3	this	this	PRON
ejpam-6005	266	4	by	by	ADP
ejpam-6005	266	5	introducing	introduce	VERB
ejpam-6005	266	6	nonlinear	nonlinear	ADJ
ejpam-6005	266	7	perturbations	perturbation	NOUN
ejpam-6005	266	8	into	into	ADP
ejpam-6005	266	9	each	each	PRON
ejpam-6005	266	10	of	of	ADP
ejpam-6005	266	11	the	the	DET
ejpam-6005	266	12	system	system	NOUN
ejpam-6005	266	13	’s	’s	PART
ejpam-6005	266	14	equations	equation	NOUN
ejpam-6005	266	15	,	,	PUNCT
ejpam-6005	266	16	in	in	ADP
ejpam-6005	266	17	this	this	DET
ejpam-6005	266	18	case	case	NOUN
ejpam-6005	266	19	merely	merely	ADV
ejpam-6005	266	20	the	the	DET
ejpam-6005	266	21	rate	rate	NOUN
ejpam-6005	266	22	of	of	ADP
ejpam-6005	266	23	each	each	DET
ejpam-6005	266	24	class	class	NOUN
ejpam-6005	266	25	,	,	PUNCT
ejpam-6005	266	26	as	as	SCONJ
ejpam-6005	266	27	illustrated	illustrate	VERB
ejpam-6005	266	28	for	for	ADP
ejpam-6005	266	29	each	each	DET
ejpam-6005	266	30	class	class	NOUN
ejpam-6005	266	31	below	below	ADV
ejpam-6005	266	32	.	.	PUNCT
ejpam-6005	267	1	s(t	s(t	PROPN
ejpam-6005	267	2	)	)	PUNCT
ejpam-6005	268	1	:	:	PUNCT
ejpam-6005	268	2	−β	−β	PROPN
ejpam-6005	268	3	−→	−→	PROPN
ejpam-6005	268	4	−β	−β	PROPN
ejpam-6005	268	5	+	+	CCONJ
ejpam-6005	268	6	(	(	PUNCT
ejpam-6005	268	7	χ11s	χ11s	PROPN
ejpam-6005	268	8	+	+	CCONJ
ejpam-6005	268	9	χ12)da1(t	χ12)da1(t	ADJ
ejpam-6005	268	10	)	)	PUNCT
ejpam-6005	268	11	,	,	PUNCT
ejpam-6005	268	12	e(t	e(t	PROPN
ejpam-6005	268	13	)	)	PUNCT
ejpam-6005	268	14	:	:	PUNCT
ejpam-6005	269	1	−ϕ	−ϕ	ADV
ejpam-6005	269	2	−→	−→	ADV
ejpam-6005	269	3	−ϕ+	−ϕ+	NOUN
ejpam-6005	269	4	(	(	PUNCT
ejpam-6005	269	5	π21s	π21s	X
ejpam-6005	269	6	+	+	PUNCT
ejpam-6005	269	7	χ22)da2(t	χ22)da2(t	NOUN
ejpam-6005	269	8	)	)	PUNCT
ejpam-6005	269	9	,	,	PUNCT
ejpam-6005	269	10	if	if	SCONJ
ejpam-6005	269	11	(	(	PUNCT
ejpam-6005	269	12	t	t	PROPN
ejpam-6005	269	13	)	)	PUNCT
ejpam-6005	269	14	:	:	PUNCT
ejpam-6005	270	1	−c1	−c1	ADJ
ejpam-6005	270	2	−→	−→	NOUN
ejpam-6005	270	3	−c1	−c1	PROPN
ejpam-6005	270	4	+	+	CCONJ
ejpam-6005	270	5	(	(	PUNCT
ejpam-6005	270	6	χ31s	χ31s	NOUN
ejpam-6005	270	7	+	+	NUM
ejpam-6005	270	8	χ32)da3(t	χ32)da3(t	NOUN
ejpam-6005	270	9	)	)	PUNCT
ejpam-6005	270	10	,	,	PUNCT
ejpam-6005	270	11	r.	r.	PROPN
ejpam-6005	270	12	ud	ud	PROPN
ejpam-6005	270	13	din	din	PROPN
ejpam-6005	270	14	,	,	PUNCT
ejpam-6005	270	15	m.	m.	PROPN
ejpam-6005	270	16	s.	s.	PROPN
ejpam-6005	270	17	arif	arif	PROPN
ejpam-6005	270	18	/	/	SYM
ejpam-6005	270	19	eur	eur	PROPN
ejpam-6005	270	20	.	.	PUNCT
ejpam-6005	271	1	j.	j.	PROPN
ejpam-6005	271	2	pure	pure	PROPN
ejpam-6005	271	3	appl	appl	PROPN
ejpam-6005	271	4	.	.	PROPN
ejpam-6005	271	5	math	math	PROPN
ejpam-6005	271	6	,	,	PUNCT
ejpam-6005	271	7	18	18	NUM
ejpam-6005	271	8	(	(	PUNCT
ejpam-6005	271	9	2	2	NUM
ejpam-6005	271	10	)	)	PUNCT
ejpam-6005	271	11	(	(	PUNCT
ejpam-6005	271	12	2025	2025	NUM
ejpam-6005	271	13	)	)	PUNCT
ejpam-6005	271	14	,	,	PUNCT
ejpam-6005	271	15	6005	6005	NUM
ejpam-6005	271	16	16	16	NUM
ejpam-6005	271	17	of	of	ADP
ejpam-6005	271	18	27	27	NUM
ejpam-6005	271	19	t	t	NOUN
ejpam-6005	271	20	0	0	NUM
ejpam-6005	271	21	5	5	NUM
ejpam-6005	271	22	10	10	NUM
ejpam-6005	271	23	15	15	NUM
ejpam-6005	271	24	20	20	NUM
ejpam-6005	271	25	25	25	NUM
ejpam-6005	271	26	30	30	NUM
ejpam-6005	271	27	35	35	NUM
ejpam-6005	271	28	40	40	NUM
ejpam-6005	272	1	c	c	NOUN
ejpam-6005	272	2	o	o	NOUN
ejpam-6005	272	3	v	v	INTJ
ejpam-6005	273	1	i	i	NOUN
ejpam-6005	273	2	d	d	NOUN
ejpam-6005	273	3	i	i	PRON
ejpam-6005	273	4	n	n	X
ejpam-6005	273	5	fe	fe	X
ejpam-6005	273	6	c	c	X
ejpam-6005	273	7	te	te	PROPN
ejpam-6005	274	1	d	d	X
ejpam-6005	274	2	0.02	0.02	NUM
ejpam-6005	274	3	0.04	0.04	NUM
ejpam-6005	274	4	0.06	0.06	NUM
ejpam-6005	274	5	0.08	0.08	NUM
ejpam-6005	274	6	0.1	0.1	NUM
ejpam-6005	274	7	0.12	0.12	NUM
ejpam-6005	274	8	0.14	0.14	NUM
ejpam-6005	274	9	0.16	0.16	NUM
ejpam-6005	274	10	region	region	NOUN
ejpam-6005	274	11	1	1	NUM
ejpam-6005	274	12	region	region	NOUN
ejpam-6005	274	13	2	2	NUM
ejpam-6005	274	14	figure	figure	NOUN
ejpam-6005	274	15	6	6	NUM
ejpam-6005	274	16	:	:	PUNCT
ejpam-6005	274	17	graph	graph	NOUN
ejpam-6005	274	18	of	of	ADP
ejpam-6005	274	19	numerical	numerical	ADJ
ejpam-6005	274	20	solutions	solution	NOUN
ejpam-6005	274	21	using	use	VERB
ejpam-6005	274	22	the	the	DET
ejpam-6005	274	23	nsfd	nsfd	ADJ
ejpam-6005	274	24	technique	technique	NOUN
ejpam-6005	274	25	for	for	ADP
ejpam-6005	274	26	the	the	DET
ejpam-6005	274	27	deterministic	deterministic	ADJ
ejpam-6005	274	28	model	model	NOUN
ejpam-6005	274	29	covid	covid	PROPN
ejpam-6005	274	30	(	(	PUNCT
ejpam-6005	274	31	1	1	NUM
ejpam-6005	274	32	)	)	PUNCT
ejpam-6005	274	33	infected	infected	ADJ
ejpam-6005	274	34	compartment	compartment	NOUN
ejpam-6005	274	35	.	.	PUNCT
ejpam-6005	275	1	t	t	NOUN
ejpam-6005	275	2	0	0	NUM
ejpam-6005	275	3	5	5	NUM
ejpam-6005	275	4	10	10	NUM
ejpam-6005	275	5	15	15	NUM
ejpam-6005	275	6	20	20	NUM
ejpam-6005	275	7	25	25	NUM
ejpam-6005	275	8	30	30	NUM
ejpam-6005	275	9	35	35	NUM
ejpam-6005	275	10	40	40	NUM
ejpam-6005	275	11	c	c	NOUN
ejpam-6005	275	12	o	o	NOUN
ejpam-6005	275	13	-i	-i	PUNCT
ejpam-6005	275	14	n	n	NUM
ejpam-6005	275	15	fe	fe	X
ejpam-6005	275	16	c	c	X
ejpam-6005	275	17	te	te	PROPN
ejpam-6005	276	1	d	d	X
ejpam-6005	276	2	0.015	0.015	NUM
ejpam-6005	276	3	0.02	0.02	NUM
ejpam-6005	276	4	0.025	0.025	NUM
ejpam-6005	276	5	0.03	0.03	NUM
ejpam-6005	276	6	0.035	0.035	NUM
ejpam-6005	276	7	0.04	0.04	NUM
ejpam-6005	276	8	region	region	NOUN
ejpam-6005	276	9	1	1	NUM
ejpam-6005	276	10	region	region	NOUN
ejpam-6005	276	11	2	2	NUM
ejpam-6005	276	12	figure	figure	NOUN
ejpam-6005	276	13	7	7	NUM
ejpam-6005	276	14	:	:	PUNCT
ejpam-6005	276	15	graph	graph	NOUN
ejpam-6005	276	16	of	of	ADP
ejpam-6005	276	17	numerical	numerical	ADJ
ejpam-6005	276	18	solutions	solution	NOUN
ejpam-6005	276	19	using	use	VERB
ejpam-6005	276	20	the	the	DET
ejpam-6005	276	21	nsfd	nsfd	ADJ
ejpam-6005	276	22	technique	technique	NOUN
ejpam-6005	276	23	for	for	ADP
ejpam-6005	276	24	the	the	DET
ejpam-6005	276	25	deterministic	deterministic	ADJ
ejpam-6005	276	26	model	model	NOUN
ejpam-6005	276	27	(	(	PUNCT
ejpam-6005	276	28	1	1	NUM
ejpam-6005	276	29	)	)	PUNCT
ejpam-6005	276	30	co	co	NOUN
ejpam-6005	276	31	-	-	NOUN
ejpam-6005	276	32	infection	infection	NOUN
ejpam-6005	276	33	compartment	compartment	NOUN
ejpam-6005	276	34	.	.	PUNCT
ejpam-6005	277	1	ic(t	ic(t	PUNCT
ejpam-6005	277	2	)	)	PUNCT
ejpam-6005	277	3	:	:	PUNCT
ejpam-6005	278	1	−c2	−c2	PROPN
ejpam-6005	278	2	−→	−→	NOUN
ejpam-6005	278	3	−c2	−c2	PROPN
ejpam-6005	278	4	+	+	CCONJ
ejpam-6005	278	5	(	(	PUNCT
ejpam-6005	278	6	χ41s	χ41s	SYM
ejpam-6005	278	7	+	+	NUM
ejpam-6005	278	8	χ42)da4(t	χ42)da4(t	ADJ
ejpam-6005	278	9	)	)	PUNCT
ejpam-6005	278	10	,	,	PUNCT
ejpam-6005	278	11	c(t	c(t	PROPN
ejpam-6005	278	12	)	)	PUNCT
ejpam-6005	278	13	:	:	PUNCT
ejpam-6005	279	1	−v3	−v3	VERB
ejpam-6005	279	2	−→	−→	NOUN
ejpam-6005	279	3	−v3	−v3	PROPN
ejpam-6005	279	4	+	+	CCONJ
ejpam-6005	279	5	(	(	PUNCT
ejpam-6005	279	6	χ51s	χ51	NOUN
ejpam-6005	279	7	+	+	CCONJ
ejpam-6005	279	8	χ52)da5(t	χ52)da5(t	NOUN
ejpam-6005	279	9	)	)	PUNCT
ejpam-6005	279	10	,	,	PUNCT
ejpam-6005	279	11	v(t	v(t	NOUN
ejpam-6005	279	12	)	)	PUNCT
ejpam-6005	279	13	:	:	PUNCT
ejpam-6005	279	14	γ3	γ3	NOUN
ejpam-6005	279	15	−→	−→	NOUN
ejpam-6005	279	16	−γ3	−γ3	PROPN
ejpam-6005	279	17	+	+	CCONJ
ejpam-6005	279	18	(	(	PUNCT
ejpam-6005	279	19	χ61s	χ61s	X
ejpam-6005	279	20	+	+	NUM
ejpam-6005	279	21	χ62)da6(t	χ62)da6(t	ADJ
ejpam-6005	279	22	)	)	PUNCT
ejpam-6005	279	23	,	,	PUNCT
ejpam-6005	279	24	r(t	r(t	NOUN
ejpam-6005	279	25	)	)	PUNCT
ejpam-6005	279	26	:	:	PUNCT
ejpam-6005	279	27	−d0	−d0	AUX
ejpam-6005	279	28	−→	−→	NOUN
ejpam-6005	279	29	−d0	−d0	PROPN
ejpam-6005	279	30	+	+	CCONJ
ejpam-6005	279	31	(	(	PUNCT
ejpam-6005	279	32	χ71s	χ71s	NOUN
ejpam-6005	279	33	+	+	NUM
ejpam-6005	279	34	χ72)da7(t	χ72)da7(t	NOUN
ejpam-6005	279	35	)	)	PUNCT
ejpam-6005	279	36	.	.	PUNCT
ejpam-6005	280	1	the	the	DET
ejpam-6005	280	2	modified	modify	VERB
ejpam-6005	280	3	stochastic	stochastic	ADJ
ejpam-6005	280	4	model	model	NOUN
ejpam-6005	280	5	(	(	PUNCT
ejpam-6005	280	6	1	1	X
ejpam-6005	280	7	)	)	PUNCT
ejpam-6005	280	8	is	be	AUX
ejpam-6005	280	9	thus	thus	ADV
ejpam-6005	280	10	represented	represent	VERB
ejpam-6005	280	11	by	by	ADP
ejpam-6005	280	12	the	the	DET
ejpam-6005	280	13	system	system	NOUN
ejpam-6005	280	14	of	of	ADP
ejpam-6005	280	15	equations	equation	NOUN
ejpam-6005	280	16	that	that	PRON
ejpam-6005	280	17	follows	follow	VERB
ejpam-6005	280	18	:	:	PUNCT
ejpam-6005	280	19	ds	ds	ADJ
ejpam-6005	280	20	=	=	PUNCT
ejpam-6005	281	1	[	[	X
ejpam-6005	281	2	b−ksi(βi	b−ksi(βi	ADP
ejpam-6005	281	3	+	+	PROPN
ejpam-6005	281	4	1)−	1)−	NUM
ejpam-6005	281	5	d0s	d0	NOUN
ejpam-6005	281	6	+	+	NUM
ejpam-6005	281	7	rr]dt+	rr]dt+	NOUN
ejpam-6005	281	8	(	(	PUNCT
ejpam-6005	281	9	χ11s	χ11s	PROPN
ejpam-6005	281	10	+	+	CCONJ
ejpam-6005	281	11	χ12)a1(t	χ12)a1(t	NOUN
ejpam-6005	281	12	)	)	PUNCT
ejpam-6005	281	13	,	,	PUNCT
ejpam-6005	281	14	de	de	X
ejpam-6005	281	15	=	=	PUNCT
ejpam-6005	281	16	[	[	X
ejpam-6005	281	17	ksi(βi	ksi(βi	NOUN
ejpam-6005	281	18	+	+	X
ejpam-6005	281	19	1)−	1)−	NUM
ejpam-6005	281	20	(	(	PUNCT
ejpam-6005	281	21	d0	d0	NOUN
ejpam-6005	281	22	+	+	CCONJ
ejpam-6005	281	23	η	η	PROPN
ejpam-6005	281	24	+	+	NOUN
ejpam-6005	281	25	ϕ)e	ϕ)e	NOUN
ejpam-6005	281	26	]	]	X
ejpam-6005	281	27	dt+	dt+	NOUN
ejpam-6005	281	28	(	(	PUNCT
ejpam-6005	281	29	χ21s	χ21s	NOUN
ejpam-6005	281	30	+	+	NUM
ejpam-6005	281	31	χ22)a2(t	χ22)a2(t	NOUN
ejpam-6005	281	32	)	)	PUNCT
ejpam-6005	281	33	,	,	PUNCT
ejpam-6005	281	34	r.	r.	PROPN
ejpam-6005	281	35	ud	ud	PROPN
ejpam-6005	281	36	din	din	PROPN
ejpam-6005	281	37	,	,	PUNCT
ejpam-6005	281	38	m.	m.	PROPN
ejpam-6005	281	39	s.	s.	PROPN
ejpam-6005	281	40	arif	arif	PROPN
ejpam-6005	281	41	/	/	SYM
ejpam-6005	281	42	eur	eur	PROPN
ejpam-6005	281	43	.	.	PUNCT
ejpam-6005	282	1	j.	j.	PROPN
ejpam-6005	282	2	pure	pure	PROPN
ejpam-6005	282	3	appl	appl	PROPN
ejpam-6005	282	4	.	.	PROPN
ejpam-6005	282	5	math	math	PROPN
ejpam-6005	282	6	,	,	PUNCT
ejpam-6005	282	7	18	18	NUM
ejpam-6005	282	8	(	(	PUNCT
ejpam-6005	282	9	2	2	NUM
ejpam-6005	282	10	)	)	PUNCT
ejpam-6005	282	11	(	(	PUNCT
ejpam-6005	282	12	2025	2025	NUM
ejpam-6005	282	13	)	)	PUNCT
ejpam-6005	282	14	,	,	PUNCT
ejpam-6005	282	15	6005	6005	NUM
ejpam-6005	282	16	17	17	NUM
ejpam-6005	282	17	of	of	ADP
ejpam-6005	282	18	27	27	NUM
ejpam-6005	282	19	t	t	NOUN
ejpam-6005	282	20	0	0	NUM
ejpam-6005	282	21	5	5	NUM
ejpam-6005	282	22	10	10	NUM
ejpam-6005	282	23	15	15	NUM
ejpam-6005	282	24	20	20	NUM
ejpam-6005	282	25	25	25	NUM
ejpam-6005	282	26	30	30	NUM
ejpam-6005	282	27	35	35	NUM
ejpam-6005	282	28	40	40	NUM
ejpam-6005	283	1	r	r	NOUN
ejpam-6005	283	2	e	e	NOUN
ejpam-6005	283	3	c	c	NOUN
ejpam-6005	283	4	o	o	X
ejpam-6005	283	5	v	v	X
ejpam-6005	283	6	e	e	X
ejpam-6005	283	7	re	re	NOUN
ejpam-6005	283	8	d	d	PROPN
ejpam-6005	283	9	0.27	0.27	NUM
ejpam-6005	283	10	0.28	0.28	NUM
ejpam-6005	283	11	0.29	0.29	NUM
ejpam-6005	283	12	0.3	0.3	NUM
ejpam-6005	283	13	0.31	0.31	NUM
ejpam-6005	283	14	0.32	0.32	NUM
ejpam-6005	283	15	0.33	0.33	NUM
ejpam-6005	283	16	0.34	0.34	NUM
ejpam-6005	283	17	0.35	0.35	NUM
ejpam-6005	283	18	0.36	0.36	NUM
ejpam-6005	283	19	region	region	NOUN
ejpam-6005	283	20	1	1	NUM
ejpam-6005	283	21	region	region	NOUN
ejpam-6005	283	22	2	2	NUM
ejpam-6005	283	23	figure	figure	NOUN
ejpam-6005	283	24	8	8	NUM
ejpam-6005	283	25	:	:	PUNCT
ejpam-6005	283	26	graph	graph	NOUN
ejpam-6005	283	27	of	of	ADP
ejpam-6005	283	28	numerical	numerical	ADJ
ejpam-6005	283	29	solutions	solution	NOUN
ejpam-6005	283	30	using	use	VERB
ejpam-6005	283	31	the	the	DET
ejpam-6005	283	32	nsfd	nsfd	ADJ
ejpam-6005	283	33	technique	technique	NOUN
ejpam-6005	283	34	for	for	ADP
ejpam-6005	283	35	the	the	DET
ejpam-6005	283	36	deterministic	deterministic	ADJ
ejpam-6005	283	37	model	model	NOUN
ejpam-6005	283	38	(	(	PUNCT
ejpam-6005	283	39	1	1	NUM
ejpam-6005	283	40	)	)	PUNCT
ejpam-6005	283	41	.	.	PUNCT
ejpam-6005	284	1	recovered	recover	VERB
ejpam-6005	284	2	compartment	compartment	NOUN
ejpam-6005	284	3	t	t	NOUN
ejpam-6005	284	4	0	0	NUM
ejpam-6005	284	5	5	5	NUM
ejpam-6005	284	6	10	10	NUM
ejpam-6005	284	7	15	15	NUM
ejpam-6005	284	8	20	20	NUM
ejpam-6005	284	9	25	25	NUM
ejpam-6005	284	10	30	30	NUM
ejpam-6005	284	11	35	35	NUM
ejpam-6005	284	12	40	40	NUM
ejpam-6005	284	13	v	v	NOUN
ejpam-6005	284	14	a	a	DET
ejpam-6005	284	15	c	c	NOUN
ejpam-6005	284	16	c	c	NOUN
ejpam-6005	284	17	in	in	ADP
ejpam-6005	284	18	a	a	DET
ejpam-6005	284	19	te	te	NOUN
ejpam-6005	284	20	d	d	ADP
ejpam-6005	284	21	0.004	0.004	NUM
ejpam-6005	284	22	0.006	0.006	NUM
ejpam-6005	284	23	0.008	0.008	NUM
ejpam-6005	284	24	0.01	0.01	NUM
ejpam-6005	284	25	0.012	0.012	NUM
ejpam-6005	284	26	0.014	0.014	NUM
ejpam-6005	284	27	0.016	0.016	NUM
ejpam-6005	284	28	region	region	NOUN
ejpam-6005	284	29	1	1	NUM
ejpam-6005	284	30	region	region	NOUN
ejpam-6005	284	31	2	2	NUM
ejpam-6005	284	32	figure	figure	NOUN
ejpam-6005	284	33	9	9	NUM
ejpam-6005	284	34	:	:	PUNCT
ejpam-6005	284	35	graph	graph	NOUN
ejpam-6005	284	36	of	of	ADP
ejpam-6005	284	37	numerical	numerical	ADJ
ejpam-6005	284	38	solutions	solution	NOUN
ejpam-6005	284	39	using	use	VERB
ejpam-6005	284	40	the	the	DET
ejpam-6005	284	41	nsfd	nsfd	ADJ
ejpam-6005	284	42	technique	technique	NOUN
ejpam-6005	284	43	for	for	ADP
ejpam-6005	284	44	the	the	DET
ejpam-6005	284	45	deterministic	deterministic	ADJ
ejpam-6005	284	46	model	model	NOUN
ejpam-6005	284	47	(	(	PUNCT
ejpam-6005	284	48	1	1	X
ejpam-6005	284	49	)	)	PUNCT
ejpam-6005	284	50	vaccinated	vaccinated	ADJ
ejpam-6005	284	51	compartment	compartment	NOUN
ejpam-6005	284	52	.	.	PUNCT
ejpam-6005	285	1	dif	dif	X
ejpam-6005	285	2	=	=	X
ejpam-6005	286	1	[	[	X
ejpam-6005	286	2	ϕe	ϕe	X
ejpam-6005	286	3	−	−	PROPN
ejpam-6005	286	4	(	(	PUNCT
ejpam-6005	286	5	γ1	γ1	PROPN
ejpam-6005	286	6	+	+	CCONJ
ejpam-6005	286	7	vf	vf	X
ejpam-6005	286	8	+	+	NUM
ejpam-6005	286	9	d0	d0	NOUN
ejpam-6005	286	10	+	+	CCONJ
ejpam-6005	286	11	c1)if	c1)if	NOUN
ejpam-6005	286	12	]	]	X
ejpam-6005	286	13	dt+	dt+	NOUN
ejpam-6005	286	14	(	(	PUNCT
ejpam-6005	286	15	χ31s	χ31s	NOUN
ejpam-6005	286	16	+	+	NUM
ejpam-6005	286	17	χ32)a3(t	χ32)a3(t	NUM
ejpam-6005	286	18	)	)	PUNCT
ejpam-6005	286	19	,	,	PUNCT
ejpam-6005	286	20	dic	dic	NOUN
ejpam-6005	286	21	=	=	PUNCT
ejpam-6005	287	1	[	[	X
ejpam-6005	287	2	ηe	ηe	ADP
ejpam-6005	287	3	−	−	PROPN
ejpam-6005	287	4	(	(	PUNCT
ejpam-6005	287	5	γ2	γ2	PROPN
ejpam-6005	287	6	+	+	CCONJ
ejpam-6005	287	7	vc	vc	PROPN
ejpam-6005	287	8	+	+	CCONJ
ejpam-6005	287	9	d0	d0	NOUN
ejpam-6005	287	10	+	+	CCONJ
ejpam-6005	287	11	c2)ic]dt+	c2)ic]dt+	ADJ
ejpam-6005	287	12	(	(	PUNCT
ejpam-6005	287	13	χ41s	χ41	NOUN
ejpam-6005	287	14	+	+	CCONJ
ejpam-6005	287	15	χ42)a4(t	χ42)a4(t	PROPN
ejpam-6005	287	16	)	)	PUNCT
ejpam-6005	287	17	,	,	PUNCT
ejpam-6005	287	18	dc	dc	PROPN
ejpam-6005	288	1	=	=	PUNCT
ejpam-6005	289	1	[	[	X
ejpam-6005	289	2	c1if	c1if	PUNCT
ejpam-6005	289	3	+	+	CCONJ
ejpam-6005	289	4	c2ic	c2ic	NUM
ejpam-6005	289	5	−	−	PROPN
ejpam-6005	289	6	(	(	PUNCT
ejpam-6005	289	7	d0	d0	NOUN
ejpam-6005	289	8	+	+	CCONJ
ejpam-6005	289	9	v3)c]dt+	v3)c]dt+	NOUN
ejpam-6005	289	10	(	(	PUNCT
ejpam-6005	289	11	χ51s	χ51	VERB
ejpam-6005	289	12	+	+	CCONJ
ejpam-6005	289	13	χ52)a5(t	χ52)a5(t	NOUN
ejpam-6005	289	14	)	)	PUNCT
ejpam-6005	289	15	,	,	PUNCT
ejpam-6005	289	16	dv	dv	PROPN
ejpam-6005	289	17	=	=	PUNCT
ejpam-6005	290	1	[	[	X
ejpam-6005	290	2	vfif	vfif	ADJ
ejpam-6005	290	3	+	+	NUM
ejpam-6005	290	4	vcic	vcic	NOUN
ejpam-6005	290	5	+	+	CCONJ
ejpam-6005	290	6	v3c	v3c	X
ejpam-6005	290	7	−	−	PROPN
ejpam-6005	290	8	(	(	PUNCT
ejpam-6005	290	9	γ3	γ3	NOUN
ejpam-6005	290	10	+	+	CCONJ
ejpam-6005	290	11	d0)v]dt+	d0)v]dt+	NOUN
ejpam-6005	290	12	(	(	PUNCT
ejpam-6005	290	13	χ61s	χ61s	NOUN
ejpam-6005	290	14	+	+	NUM
ejpam-6005	290	15	χ62)a6(t	χ62)a6(t	NOUN
ejpam-6005	290	16	)	)	PUNCT
ejpam-6005	290	17	,	,	PUNCT
ejpam-6005	290	18	dr	dr	PROPN
ejpam-6005	290	19	=	=	PUNCT
ejpam-6005	291	1	[	[	X
ejpam-6005	291	2	γ1if	γ1if	X
ejpam-6005	292	1	+	+	CCONJ
ejpam-6005	292	2	γ2ic	γ2ic	PUNCT
ejpam-6005	293	1	+	+	CCONJ
ejpam-6005	293	2	γ3v	γ3v	PROPN
ejpam-6005	293	3	−	−	PROPN
ejpam-6005	293	4	(	(	PUNCT
ejpam-6005	293	5	r	r	NOUN
ejpam-6005	293	6	+	+	NOUN
ejpam-6005	293	7	d0)r]dt+	d0)r]dt+	NOUN
ejpam-6005	293	8	(	(	PUNCT
ejpam-6005	293	9	χ71s	χ71s	NOUN
ejpam-6005	293	10	+	+	PUNCT
ejpam-6005	293	11	χ72)a7(t	χ72)a7(t	NOUN
ejpam-6005	293	12	)	)	PUNCT
ejpam-6005	293	13	.	.	PUNCT
ejpam-6005	294	1	r.	r.	PROPN
ejpam-6005	294	2	ud	ud	PROPN
ejpam-6005	294	3	din	din	PROPN
ejpam-6005	294	4	,	,	PUNCT
ejpam-6005	294	5	m.	m.	PROPN
ejpam-6005	294	6	s.	s.	PROPN
ejpam-6005	294	7	arif	arif	PROPN
ejpam-6005	294	8	/	/	SYM
ejpam-6005	294	9	eur	eur	PROPN
ejpam-6005	294	10	.	.	PUNCT
ejpam-6005	295	1	j.	j.	PROPN
ejpam-6005	295	2	pure	pure	PROPN
ejpam-6005	295	3	appl	appl	PROPN
ejpam-6005	295	4	.	.	PROPN
ejpam-6005	295	5	math	math	PROPN
ejpam-6005	295	6	,	,	PUNCT
ejpam-6005	295	7	18	18	NUM
ejpam-6005	295	8	(	(	PUNCT
ejpam-6005	295	9	2	2	NUM
ejpam-6005	295	10	)	)	PUNCT
ejpam-6005	295	11	(	(	PUNCT
ejpam-6005	295	12	2025	2025	NUM
ejpam-6005	295	13	)	)	PUNCT
ejpam-6005	295	14	,	,	PUNCT
ejpam-6005	295	15	6005	6005	NUM
ejpam-6005	295	16	18	18	NUM
ejpam-6005	295	17	of	of	ADP
ejpam-6005	295	18	27	27	NUM
ejpam-6005	295	19	8	8	NUM
ejpam-6005	295	20	.	.	PUNCT
ejpam-6005	296	1	numerical	numerical	PROPN
ejpam-6005	296	2	simulation	simulation	PROPN
ejpam-6005	296	3	of	of	ADP
ejpam-6005	296	4	stochastic	stochastic	ADJ
ejpam-6005	296	5	model	model	NOUN
ejpam-6005	296	6	the	the	DET
ejpam-6005	296	7	following	follow	VERB
ejpam-6005	296	8	equation	equation	NOUN
ejpam-6005	296	9	is	be	AUX
ejpam-6005	296	10	used	use	VERB
ejpam-6005	296	11	to	to	PART
ejpam-6005	296	12	determine	determine	VERB
ejpam-6005	296	13	the	the	DET
ejpam-6005	296	14	trajectories	trajectory	NOUN
ejpam-6005	296	15	or	or	CCONJ
ejpam-6005	296	16	estimated	estimate	VERB
ejpam-6005	296	17	solutions	solution	NOUN
ejpam-6005	296	18	of	of	ADP
ejpam-6005	296	19	a	a	DET
ejpam-6005	296	20	stochastic	stochastic	ADJ
ejpam-6005	296	21	model	model	NOUN
ejpam-6005	296	22	equations	equation	NOUN
ejpam-6005	296	23	using	use	VERB
ejpam-6005	296	24	the	the	DET
ejpam-6005	296	25	euler	euler	NOUN
ejpam-6005	296	26	-	-	PUNCT
ejpam-6005	296	27	maruyama	maruyama	NOUN
ejpam-6005	296	28	method	method	NOUN
ejpam-6005	296	29	:	:	PUNCT
ejpam-6005	296	30	χti+1	χti+1	PROPN
ejpam-6005	297	1	=	=	SYM
ejpam-6005	297	2	χti	χti	NOUN
ejpam-6005	297	3	+	+	NOUN
ejpam-6005	297	4	α(ti	α(ti	NOUN
ejpam-6005	297	5	,	,	PUNCT
ejpam-6005	297	6	χti	χti	NOUN
ejpam-6005	297	7	)	)	PUNCT
ejpam-6005	298	1	+	+	CCONJ
ejpam-6005	298	2	β(ti	β(ti	PROPN
ejpam-6005	298	3	,	,	PUNCT
ejpam-6005	298	4	χti)∆ai	χti)∆ai	NOUN
ejpam-6005	298	5	.	.	PUNCT
ejpam-6005	299	1	(	(	PUNCT
ejpam-6005	299	2	21	21	NUM
ejpam-6005	299	3	)	)	PUNCT
ejpam-6005	299	4	where	where	SCONJ
ejpam-6005	299	5	i	i	PRON
ejpam-6005	299	6	=	=	NOUN
ejpam-6005	299	7	0	0	NUM
ejpam-6005	299	8	,	,	PUNCT
ejpam-6005	299	9	1	1	NUM
ejpam-6005	299	10	,	,	PUNCT
ejpam-6005	299	11	...	...	PUNCT
ejpam-6005	299	12	,	,	PUNCT
ejpam-6005	299	13	n	n	CCONJ
ejpam-6005	299	14	−	−	PROPN
ejpam-6005	299	15	1	1	X
ejpam-6005	299	16	.	.	PUNCT
ejpam-6005	300	1	it	it	PRON
ejpam-6005	300	2	is	be	AUX
ejpam-6005	300	3	required	require	VERB
ejpam-6005	300	4	to	to	PART
ejpam-6005	300	5	understand	understand	VERB
ejpam-6005	300	6	how	how	SCONJ
ejpam-6005	300	7	to	to	PART
ejpam-6005	300	8	compute	compute	VERB
ejpam-6005	300	9	∆ai	∆ai	NOUN
ejpam-6005	300	10	in	in	ADP
ejpam-6005	300	11	order	order	NOUN
ejpam-6005	300	12	to	to	PART
ejpam-6005	300	13	implement	implement	VERB
ejpam-6005	300	14	the	the	DET
ejpam-6005	300	15	procedure	procedure	NOUN
ejpam-6005	300	16	computationally	computationally	ADV
ejpam-6005	300	17	.	.	PUNCT
ejpam-6005	301	1	the	the	DET
ejpam-6005	301	2	distribution	distribution	NOUN
ejpam-6005	301	3	of	of	ADP
ejpam-6005	301	4	the	the	DET
ejpam-6005	301	5	differences	difference	NOUN
ejpam-6005	301	6	∆ai	∆ai	NOUN
ejpam-6005	301	7	,	,	PUNCT
ejpam-6005	301	8	i	i	NOUN
ejpam-6005	301	9	=	=	NOUN
ejpam-6005	301	10	0	0	NUM
ejpam-6005	301	11	,	,	PUNCT
ejpam-6005	301	12	1	1	NUM
ejpam-6005	301	13	,	,	PUNCT
ejpam-6005	301	14	...	...	PUNCT
ejpam-6005	301	15	,	,	PUNCT
ejpam-6005	301	16	n−	n−	NOUN
ejpam-6005	301	17	1	1	NUM
ejpam-6005	301	18	has	have	VERB
ejpam-6005	301	19	the	the	DET
ejpam-6005	301	20	same	same	ADJ
ejpam-6005	301	21	value,∆ai	value,∆ai	NOUN
ejpam-6005	301	22	∼	∼	NOUN
ejpam-6005	301	23	m(0,∆t	m(0,∆t	NOUN
ejpam-6005	301	24	)	)	PUNCT
ejpam-6005	301	25	,	,	PUNCT
ejpam-6005	301	26	because	because	SCONJ
ejpam-6005	301	27	the	the	DET
ejpam-6005	301	28	partition	partition	NOUN
ejpam-6005	301	29	is	be	AUX
ejpam-6005	301	30	composed	compose	VERB
ejpam-6005	301	31	of	of	ADP
ejpam-6005	301	32	equal	equal	ADJ
ejpam-6005	301	33	intervals	interval	NOUN
ejpam-6005	301	34	.	.	PUNCT
ejpam-6005	302	1	consider	consider	VERB
ejpam-6005	302	2	a	a	DET
ejpam-6005	302	3	random	random	ADJ
ejpam-6005	302	4	variable	variable	NOUN
ejpam-6005	302	5	η	η	PROPN
ejpam-6005	302	6	which	which	PRON
ejpam-6005	302	7	has	have	VERB
ejpam-6005	302	8	a	a	DET
ejpam-6005	302	9	normal	normal	ADJ
ejpam-6005	302	10	η	η	NOUN
ejpam-6005	302	11	∼	∼	NOUN
ejpam-6005	302	12	m(0	m(0	NOUN
ejpam-6005	302	13	,	,	PUNCT
ejpam-6005	302	14	1	1	NUM
ejpam-6005	302	15	)	)	PUNCT
ejpam-6005	302	16	.	.	PUNCT
ejpam-6005	303	1	then√	then√	PROPN
ejpam-6005	303	2	∆tη1	∆tη1	PROPN
ejpam-6005	303	3	has	have	VERB
ejpam-6005	303	4	zero	zero	NUM
ejpam-6005	303	5	mean	mean	NOUN
ejpam-6005	303	6	and	and	CCONJ
ejpam-6005	303	7	variance	variance	NOUN
ejpam-6005	303	8	∆t	∆t	PROPN
ejpam-6005	303	9	,	,	PUNCT
ejpam-6005	303	10	indicating	indicate	VERB
ejpam-6005	303	11	a	a	DET
ejpam-6005	303	12	normal	normal	ADJ
ejpam-6005	303	13	distribution	distribution	NOUN
ejpam-6005	303	14	;	;	PUNCT
ejpam-6005	303	15	that	that	PRON
ejpam-6005	303	16	is	be	AUX
ejpam-6005	303	17	√	√	NUM
ejpam-6005	303	18	∆tη1	∆tη1	NUM
ejpam-6005	303	19	∼	∼	NOUN
ejpam-6005	303	20	m(0,∆t	m(0,∆t	NOUN
ejpam-6005	303	21	)	)	PUNCT
ejpam-6005	303	22	.	.	PUNCT
ejpam-6005	304	1	for	for	ADP
ejpam-6005	304	2	our	our	PRON
ejpam-6005	304	3	proposed	propose	VERB
ejpam-6005	304	4	model	model	NOUN
ejpam-6005	304	5	,	,	PUNCT
ejpam-6005	304	6	to	to	PART
ejpam-6005	304	7	implement	implement	VERB
ejpam-6005	304	8	the	the	DET
ejpam-6005	304	9	euler	euler	NOUN
ejpam-6005	304	10	-	-	PUNCT
ejpam-6005	304	11	maruyama	maruyama	NOUN
ejpam-6005	304	12	method	method	NOUN
ejpam-6005	304	13	algorithm	algorithm	NOUN
ejpam-6005	304	14	similarly	similarly	ADV
ejpam-6005	304	15	(	(	PUNCT
ejpam-6005	304	16	21	21	NUM
ejpam-6005	304	17	)	)	PUNCT
ejpam-6005	304	18	,	,	PUNCT
ejpam-6005	304	19	we	we	PRON
ejpam-6005	304	20	must	must	AUX
ejpam-6005	304	21	perform	perform	VERB
ejpam-6005	304	22	the	the	DET
ejpam-6005	304	23	appropriate	appropriate	ADJ
ejpam-6005	304	24	separating	separating	NOUN
ejpam-6005	304	25	of	of	ADP
ejpam-6005	304	26	the	the	DET
ejpam-6005	304	27	system	system	NOUN
ejpam-6005	304	28	of	of	ADP
ejpam-6005	304	29	stochastic	stochastic	ADJ
ejpam-6005	304	30	differential	differential	ADJ
ejpam-6005	304	31	equations	equation	NOUN
ejpam-6005	304	32	(	(	PUNCT
ejpam-6005	304	33	21	21	NUM
ejpam-6005	304	34	)	)	PUNCT
ejpam-6005	304	35	,	,	PUNCT
ejpam-6005	304	36	which	which	PRON
ejpam-6005	304	37	is	be	AUX
ejpam-6005	304	38	given	give	VERB
ejpam-6005	304	39	by	by	ADP
ejpam-6005	304	40	sti+1	sti+1	NOUN
ejpam-6005	304	41	=	=	SYM
ejpam-6005	304	42	sti	sti	X
ejpam-6005	304	43	+	+	PUNCT
ejpam-6005	305	1	[	[	X
ejpam-6005	305	2	b−ksi(βi	b−ksi(βi	ADP
ejpam-6005	305	3	+	+	PROPN
ejpam-6005	305	4	1)−	1)−	NUM
ejpam-6005	305	5	d0s	d0	NOUN
ejpam-6005	305	6	+	+	CCONJ
ejpam-6005	305	7	rr	rr	X
ejpam-6005	305	8	]	]	X
ejpam-6005	305	9	∆t+	∆t+	NOUN
ejpam-6005	305	10	√	√	PROPN
ejpam-6005	305	11	∆tη1	∆tη1	NUM
ejpam-6005	305	12	,	,	PUNCT
ejpam-6005	305	13	eti+1	eti+1	X
ejpam-6005	305	14	=	=	SYM
ejpam-6005	305	15	eti	eti	X
ejpam-6005	306	1	+	+	X
ejpam-6005	306	2	[	[	X
ejpam-6005	306	3	ksi(βi	ksi(βi	NOUN
ejpam-6005	306	4	+	+	X
ejpam-6005	306	5	1)−	1)−	NUM
ejpam-6005	306	6	(	(	PUNCT
ejpam-6005	306	7	d0	d0	NOUN
ejpam-6005	306	8	+	+	CCONJ
ejpam-6005	306	9	η	η	PROPN
ejpam-6005	306	10	+	+	PROPN
ejpam-6005	306	11	ϕ)e	ϕ)e	NOUN
ejpam-6005	306	12	]	]	X
ejpam-6005	306	13	∆t+	∆t+	NOUN
ejpam-6005	306	14	√	√	PUNCT
ejpam-6005	306	15	∆tη2	∆tη2	NUM
ejpam-6005	306	16	,	,	PUNCT
ejpam-6005	306	17	ift	ift	VERB
ejpam-6005	306	18	i+1	i+1	PRON
ejpam-6005	306	19	=	=	NOUN
ejpam-6005	306	20	ifti	ifti	NOUN
ejpam-6005	307	1	+	+	CCONJ
ejpam-6005	308	1	[	[	X
ejpam-6005	308	2	ϕe	ϕe	X
ejpam-6005	308	3	−	−	PROPN
ejpam-6005	308	4	(	(	PUNCT
ejpam-6005	308	5	γ1	γ1	PROPN
ejpam-6005	308	6	+	+	CCONJ
ejpam-6005	308	7	vf	vf	X
ejpam-6005	308	8	+	+	NUM
ejpam-6005	308	9	d0	d0	NOUN
ejpam-6005	308	10	+	+	CCONJ
ejpam-6005	308	11	c1)if	c1)if	NOUN
ejpam-6005	308	12	]	]	PUNCT
ejpam-6005	308	13	∆t+	∆t+	NOUN
ejpam-6005	308	14	√	√	NUM
ejpam-6005	308	15	∆tη3	∆tη3	NUM
ejpam-6005	308	16	,	,	PUNCT
ejpam-6005	308	17	ict	ict	NOUN
ejpam-6005	308	18	i+1	i+1	NOUN
ejpam-6005	308	19	=	=	NOUN
ejpam-6005	308	20	icti	icti	ADJ
ejpam-6005	308	21	+	+	X
ejpam-6005	309	1	[	[	X
ejpam-6005	309	2	ηe	ηe	ADP
ejpam-6005	309	3	−	−	PROPN
ejpam-6005	309	4	(	(	PUNCT
ejpam-6005	309	5	γ2	γ2	PROPN
ejpam-6005	309	6	+	+	CCONJ
ejpam-6005	309	7	vc	vc	PROPN
ejpam-6005	309	8	+	+	CCONJ
ejpam-6005	309	9	d0	d0	NOUN
ejpam-6005	309	10	+	+	CCONJ
ejpam-6005	309	11	c2)ic]∆t+	c2)ic]∆t+	ADJ
ejpam-6005	309	12	√	√	VERB
ejpam-6005	309	13	∆tη4	∆tη4	PROPN
ejpam-6005	309	14	,	,	PUNCT
ejpam-6005	309	15	cti+1	cti+1	X
ejpam-6005	309	16	=	=	SYM
ejpam-6005	309	17	cti	cti	PROPN
ejpam-6005	309	18	+	+	X
ejpam-6005	310	1	[	[	X
ejpam-6005	310	2	c1if	c1if	X
ejpam-6005	310	3	+	+	CCONJ
ejpam-6005	310	4	c2ic	c2ic	NUM
ejpam-6005	310	5	−	−	PROPN
ejpam-6005	310	6	(	(	PUNCT
ejpam-6005	310	7	d0	d0	NOUN
ejpam-6005	310	8	+	+	CCONJ
ejpam-6005	310	9	v3)c]∆t+	v3)c]∆t+	NOUN
ejpam-6005	310	10	√	√	VERB
ejpam-6005	310	11	∆tη5	∆tη5	ADP
ejpam-6005	310	12	,	,	PUNCT
ejpam-6005	310	13	vti+1	vti+1	NOUN
ejpam-6005	310	14	=	=	NOUN
ejpam-6005	310	15	vti	vti	NOUN
ejpam-6005	310	16	+	+	CCONJ
ejpam-6005	311	1	[	[	X
ejpam-6005	311	2	vfif	vfif	ADJ
ejpam-6005	311	3	+	+	NUM
ejpam-6005	311	4	vcic	vcic	NOUN
ejpam-6005	311	5	+	+	CCONJ
ejpam-6005	311	6	v3c	v3c	X
ejpam-6005	311	7	−	−	PROPN
ejpam-6005	311	8	(	(	PUNCT
ejpam-6005	311	9	γ3	γ3	NOUN
ejpam-6005	311	10	+	+	CCONJ
ejpam-6005	311	11	d0)v]∆t+	d0)v]∆t+	ADJ
ejpam-6005	311	12	√	√	NUM
ejpam-6005	311	13	∆tη6	∆tη6	NUM
ejpam-6005	311	14	,	,	PUNCT
ejpam-6005	311	15	rti+1	rti+1	NOUN
ejpam-6005	311	16	=	=	SYM
ejpam-6005	311	17	rti	rti	PROPN
ejpam-6005	311	18	+	+	X
ejpam-6005	312	1	[	[	X
ejpam-6005	312	2	γ1if	γ1if	X
ejpam-6005	312	3	+	+	CCONJ
ejpam-6005	312	4	γ2ic	γ2ic	PUNCT
ejpam-6005	313	1	+	+	CCONJ
ejpam-6005	313	2	γ3v	γ3v	PROPN
ejpam-6005	313	3	−	−	PROPN
ejpam-6005	313	4	(	(	PUNCT
ejpam-6005	313	5	r	r	NOUN
ejpam-6005	313	6	+	+	CCONJ
ejpam-6005	313	7	d0)r]∆t+	d0)r]∆t+	NOUN
ejpam-6005	313	8	√	√	NUM
ejpam-6005	313	9	∆tη7	∆tη7	PROPN
ejpam-6005	313	10	.	.	PUNCT
ejpam-6005	314	1	(	(	PUNCT
ejpam-6005	314	2	22	22	NUM
ejpam-6005	314	3	)	)	PUNCT
ejpam-6005	314	4	t	t	NOUN
ejpam-6005	314	5	0	0	NUM
ejpam-6005	314	6	5	5	NUM
ejpam-6005	314	7	10	10	NUM
ejpam-6005	314	8	15	15	NUM
ejpam-6005	314	9	20	20	NUM
ejpam-6005	314	10	25	25	NUM
ejpam-6005	314	11	30	30	NUM
ejpam-6005	314	12	35	35	NUM
ejpam-6005	314	13	40	40	NUM
ejpam-6005	314	14	s	s	NOUN
ejpam-6005	314	15	u	u	NOUN
ejpam-6005	314	16	s	s	PRON
ejpam-6005	314	17	c	c	NOUN
ejpam-6005	314	18	e	e	NOUN
ejpam-6005	314	19	p	p	X
ejpam-6005	314	20	ti	ti	PROPN
ejpam-6005	314	21	b	b	X
ejpam-6005	314	22	le	le	X
ejpam-6005	314	23	c	c	X
ejpam-6005	314	24	la	la	PROPN
ejpam-6005	314	25	s	s	X
ejpam-6005	314	26	s	s	X
ejpam-6005	314	27	s	s	X
ejpam-6005	314	28	to	to	PART
ejpam-6005	314	29	c	c	PROPN
ejpam-6005	314	30	h	h	NOUN
ejpam-6005	314	31	a	a	DET
ejpam-6005	314	32	s	s	X
ejpam-6005	314	33	ti	ti	NOUN
ejpam-6005	314	34	c	c	NOUN
ejpam-6005	314	35	m	m	NOUN
ejpam-6005	314	36	o	o	NOUN
ejpam-6005	314	37	d	d	X
ejpam-6005	314	38	e	e	X
ejpam-6005	314	39	l	l	NOUN
ejpam-6005	314	40	0.05	0.05	NUM
ejpam-6005	314	41	0.1	0.1	NUM
ejpam-6005	314	42	0.15	0.15	NUM
ejpam-6005	314	43	0.2	0.2	NUM
ejpam-6005	314	44	0.25	0.25	NUM
ejpam-6005	314	45	0.3	0.3	NUM
ejpam-6005	314	46	0.35	0.35	NUM
ejpam-6005	314	47	0.4	0.4	NUM
ejpam-6005	314	48	0.45	0.45	NUM
ejpam-6005	314	49	0.5	0.5	NUM
ejpam-6005	314	50	0.55	0.55	NUM
ejpam-6005	314	51	figure	figure	NOUN
ejpam-6005	314	52	10	10	NUM
ejpam-6005	314	53	:	:	PUNCT
ejpam-6005	314	54	graph	graph	NOUN
ejpam-6005	314	55	of	of	ADP
ejpam-6005	314	56	numerical	numerical	ADJ
ejpam-6005	314	57	solutions	solution	NOUN
ejpam-6005	314	58	for	for	ADP
ejpam-6005	314	59	the	the	DET
ejpam-6005	314	60	stochastic	stochastic	ADJ
ejpam-6005	314	61	model	model	NOUN
ejpam-6005	314	62	(	(	PUNCT
ejpam-6005	314	63	21	21	NUM
ejpam-6005	314	64	)	)	PUNCT
ejpam-6005	314	65	susceptible	susceptible	ADJ
ejpam-6005	314	66	compartment	compartment	NOUN
ejpam-6005	314	67	by	by	ADP
ejpam-6005	314	68	using	use	VERB
ejpam-6005	314	69	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	314	70	.	.	PUNCT
ejpam-6005	315	1	r.	r.	PROPN
ejpam-6005	315	2	ud	ud	PROPN
ejpam-6005	315	3	din	din	PROPN
ejpam-6005	315	4	,	,	PUNCT
ejpam-6005	315	5	m.	m.	PROPN
ejpam-6005	315	6	s.	s.	PROPN
ejpam-6005	315	7	arif	arif	PROPN
ejpam-6005	315	8	/	/	SYM
ejpam-6005	315	9	eur	eur	PROPN
ejpam-6005	315	10	.	.	PUNCT
ejpam-6005	316	1	j.	j.	PROPN
ejpam-6005	316	2	pure	pure	PROPN
ejpam-6005	316	3	appl	appl	PROPN
ejpam-6005	316	4	.	.	PROPN
ejpam-6005	316	5	math	math	PROPN
ejpam-6005	316	6	,	,	PUNCT
ejpam-6005	316	7	18	18	NUM
ejpam-6005	316	8	(	(	PUNCT
ejpam-6005	316	9	2	2	NUM
ejpam-6005	316	10	)	)	PUNCT
ejpam-6005	316	11	(	(	PUNCT
ejpam-6005	316	12	2025	2025	NUM
ejpam-6005	316	13	)	)	PUNCT
ejpam-6005	316	14	,	,	PUNCT
ejpam-6005	316	15	6005	6005	NUM
ejpam-6005	316	16	19	19	NUM
ejpam-6005	317	1	of	of	ADP
ejpam-6005	317	2	27	27	NUM
ejpam-6005	317	3	t	t	NOUN
ejpam-6005	317	4	0	0	NUM
ejpam-6005	317	5	5	5	NUM
ejpam-6005	317	6	10	10	NUM
ejpam-6005	317	7	15	15	NUM
ejpam-6005	317	8	20	20	NUM
ejpam-6005	317	9	25	25	NUM
ejpam-6005	317	10	30	30	NUM
ejpam-6005	317	11	35	35	NUM
ejpam-6005	317	12	40	40	NUM
ejpam-6005	317	13	e	e	NOUN
ejpam-6005	317	14	x	x	X
ejpam-6005	317	15	p	p	X
ejpam-6005	317	16	o	o	X
ejpam-6005	317	17	s	s	X
ejpam-6005	317	18	e	e	X
ejpam-6005	317	19	d	d	X
ejpam-6005	317	20	c	c	X
ejpam-6005	317	21	la	la	PROPN
ejpam-6005	317	22	s	s	NOUN
ejpam-6005	317	23	s	s	X
ejpam-6005	317	24	s	s	X
ejpam-6005	317	25	to	to	PART
ejpam-6005	317	26	c	c	PROPN
ejpam-6005	317	27	h	h	NOUN
ejpam-6005	317	28	a	a	DET
ejpam-6005	317	29	s	s	X
ejpam-6005	317	30	ti	ti	NOUN
ejpam-6005	317	31	c	c	NOUN
ejpam-6005	317	32	m	m	NOUN
ejpam-6005	317	33	o	o	NOUN
ejpam-6005	317	34	d	d	X
ejpam-6005	317	35	e	e	X
ejpam-6005	317	36	l	l	NOUN
ejpam-6005	317	37	0	0	NUM
ejpam-6005	317	38	0.05	0.05	NUM
ejpam-6005	317	39	0.1	0.1	NUM
ejpam-6005	317	40	0.15	0.15	NUM
ejpam-6005	317	41	0.2	0.2	NUM
ejpam-6005	317	42	0.25	0.25	NUM
ejpam-6005	317	43	0.3	0.3	NUM
ejpam-6005	317	44	figure	figure	NOUN
ejpam-6005	317	45	11	11	NUM
ejpam-6005	317	46	:	:	PUNCT
ejpam-6005	317	47	graph	graph	NOUN
ejpam-6005	317	48	of	of	ADP
ejpam-6005	317	49	numerical	numerical	ADJ
ejpam-6005	317	50	solutions	solution	NOUN
ejpam-6005	317	51	for	for	ADP
ejpam-6005	317	52	the	the	DET
ejpam-6005	317	53	stochastic	stochastic	ADJ
ejpam-6005	317	54	model	model	NOUN
ejpam-6005	317	55	(	(	PUNCT
ejpam-6005	317	56	21	21	NUM
ejpam-6005	317	57	)	)	PUNCT
ejpam-6005	317	58	exposed	expose	VERB
ejpam-6005	317	59	compartment	compartment	NOUN
ejpam-6005	317	60	by	by	ADP
ejpam-6005	317	61	using	use	VERB
ejpam-6005	317	62	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	317	63	..	..	PUNCT
ejpam-6005	318	1	t	t	NOUN
ejpam-6005	318	2	0	0	NUM
ejpam-6005	318	3	5	5	NUM
ejpam-6005	318	4	10	10	NUM
ejpam-6005	318	5	15	15	NUM
ejpam-6005	318	6	20	20	NUM
ejpam-6005	318	7	25	25	NUM
ejpam-6005	318	8	30	30	NUM
ejpam-6005	318	9	35	35	NUM
ejpam-6005	318	10	40	40	NUM
ejpam-6005	318	11	in	in	ADP
ejpam-6005	318	12	fl	fl	NUM
ejpam-6005	318	13	u	u	PROPN
ejpam-6005	318	14	e	e	PROPN
ejpam-6005	318	15	n	n	PROPN
ejpam-6005	318	16	z	z	PROPN
ejpam-6005	318	17	a	a	DET
ejpam-6005	318	18	i	i	PRON
ejpam-6005	318	19	n	n	X
ejpam-6005	318	20	fe	fe	X
ejpam-6005	318	21	c	c	X
ejpam-6005	318	22	te	te	PROPN
ejpam-6005	319	1	d	d	X
ejpam-6005	319	2	s	s	PROPN
ejpam-6005	319	3	to	to	ADP
ejpam-6005	319	4	c	c	PROPN
ejpam-6005	319	5	h	h	NOUN
ejpam-6005	319	6	a	a	DET
ejpam-6005	319	7	s	s	X
ejpam-6005	319	8	ti	ti	NOUN
ejpam-6005	319	9	c	c	NOUN
ejpam-6005	319	10	m	m	NOUN
ejpam-6005	319	11	o	o	NOUN
ejpam-6005	319	12	d	d	X
ejpam-6005	319	13	e	e	X
ejpam-6005	319	14	l	l	NOUN
ejpam-6005	319	15	0	0	NUM
ejpam-6005	319	16	0.02	0.02	NUM
ejpam-6005	319	17	0.04	0.04	NUM
ejpam-6005	319	18	0.06	0.06	NUM
ejpam-6005	319	19	0.08	0.08	NUM
ejpam-6005	319	20	0.1	0.1	NUM
ejpam-6005	319	21	0.12	0.12	NUM
ejpam-6005	319	22	0.14	0.14	NUM
ejpam-6005	319	23	0.16	0.16	NUM
ejpam-6005	319	24	0.18	0.18	NUM
ejpam-6005	319	25	figure	figure	NOUN
ejpam-6005	319	26	12	12	NUM
ejpam-6005	319	27	:	:	PUNCT
ejpam-6005	319	28	graph	graph	NOUN
ejpam-6005	319	29	of	of	ADP
ejpam-6005	319	30	numerical	numerical	ADJ
ejpam-6005	319	31	solutions	solution	NOUN
ejpam-6005	319	32	for	for	ADP
ejpam-6005	319	33	the	the	DET
ejpam-6005	319	34	stochastic	stochastic	ADJ
ejpam-6005	319	35	model	model	NOUN
ejpam-6005	319	36	(	(	PUNCT
ejpam-6005	319	37	21	21	NUM
ejpam-6005	319	38	)	)	PUNCT
ejpam-6005	319	39	influenza	influenza	NOUN
ejpam-6005	319	40	compartment	compartment	NOUN
ejpam-6005	319	41	by	by	ADP
ejpam-6005	319	42	using	use	VERB
ejpam-6005	319	43	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	319	44	.	.	PUNCT
ejpam-6005	320	1	using	use	VERB
ejpam-6005	320	2	the	the	DET
ejpam-6005	320	3	algorithm	algorithm	NOUN
ejpam-6005	320	4	mentioned	mention	VERB
ejpam-6005	320	5	above	above	ADV
ejpam-6005	320	6	and	and	CCONJ
ejpam-6005	320	7	data	datum	NOUN
ejpam-6005	320	8	from	from	ADP
ejpam-6005	320	9	table.2	table.2	PROPN
ejpam-6005	320	10	,	,	PUNCT
ejpam-6005	320	11	we	we	PRON
ejpam-6005	320	12	next	next	ADV
ejpam-6005	320	13	apply	apply	VERB
ejpam-6005	320	14	the	the	DET
ejpam-6005	320	15	model	model	NOUN
ejpam-6005	320	16	and	and	CCONJ
ejpam-6005	320	17	get	get	VERB
ejpam-6005	320	18	the	the	DET
ejpam-6005	320	19	results	result	NOUN
ejpam-6005	320	20	in	in	ADP
ejpam-6005	320	21	fig.(10	fig.(10	PROPN
ejpam-6005	320	22	-	-	PUNCT
ejpam-6005	320	23	16	16	NUM
ejpam-6005	320	24	)	)	PUNCT
ejpam-6005	320	25	.	.	PUNCT
ejpam-6005	321	1	this	this	PRON
ejpam-6005	321	2	confirms	confirm	VERB
ejpam-6005	321	3	the	the	DET
ejpam-6005	321	4	analytical	analytical	ADJ
ejpam-6005	321	5	result	result	NOUN
ejpam-6005	321	6	done	do	VERB
ejpam-6005	321	7	in	in	ADP
ejpam-6005	321	8	theorems	theorem	NOUN
ejpam-6005	321	9	5.1	5.1	NUM
ejpam-6005	321	10	and	and	CCONJ
ejpam-6005	321	11	5.2	5.2	NUM
ejpam-6005	321	12	,	,	PUNCT
ejpam-6005	321	13	as	as	ADV
ejpam-6005	321	14	well	well	ADV
ejpam-6005	321	15	as	as	ADP
ejpam-6005	321	16	the	the	DET
ejpam-6005	321	17	effect	effect	NOUN
ejpam-6005	321	18	of	of	ADP
ejpam-6005	321	19	vaccination	vaccination	NOUN
ejpam-6005	321	20	and	and	CCONJ
ejpam-6005	321	21	the	the	DET
ejpam-6005	321	22	degree	degree	NOUN
ejpam-6005	321	23	of	of	ADP
ejpam-6005	321	24	white	white	ADJ
ejpam-6005	321	25	noise	noise	NOUN
ejpam-6005	321	26	on	on	ADP
ejpam-6005	321	27	the	the	DET
ejpam-6005	321	28	movement	movement	NOUN
ejpam-6005	321	29	of	of	ADP
ejpam-6005	321	30	the	the	DET
ejpam-6005	321	31	novel	novel	ADJ
ejpam-6005	321	32	coronavirus	coronavirus	NOUN
ejpam-6005	321	33	disease	disease	NOUN
ejpam-6005	321	34	.	.	PUNCT
ejpam-6005	322	1	mortality	mortality	NOUN
ejpam-6005	322	2	analysis	analysis	NOUN
ejpam-6005	322	3	clearly	clearly	ADV
ejpam-6005	322	4	shows	show	VERB
ejpam-6005	322	5	that	that	SCONJ
ejpam-6005	322	6	,	,	PUNCT
ejpam-6005	322	7	in	in	ADP
ejpam-6005	322	8	the	the	DET
ejpam-6005	322	9	case	case	NOUN
ejpam-6005	322	10	that	that	SCONJ
ejpam-6005	322	11	rs	rs	ADV
ejpam-6005	322	12	1	1	NUM
ejpam-6005	322	13	<	<	X
ejpam-6005	322	14	1	1	NUM
ejpam-6005	322	15	,	,	PUNCT
ejpam-6005	322	16	there	there	PRON
ejpam-6005	322	17	will	will	AUX
ejpam-6005	322	18	always	always	ADV
ejpam-6005	322	19	be	be	AUX
ejpam-6005	322	20	susceptible	susceptible	ADJ
ejpam-6005	322	21	and	and	CCONJ
ejpam-6005	322	22	recovered	recover	VERB
ejpam-6005	322	23	people	people	NOUN
ejpam-6005	322	24	and	and	CCONJ
ejpam-6005	322	25	the	the	DET
ejpam-6005	322	26	infected	infected	ADJ
ejpam-6005	322	27	individual	individual	NOUN
ejpam-6005	322	28	disappears	disappear	VERB
ejpam-6005	322	29	,	,	PUNCT
ejpam-6005	322	30	as	as	ADP
ejpam-6005	322	31	above	above	ADP
ejpam-6005	322	32	plot	plot	NOUN
ejpam-6005	322	33	illustrates	illustrate	NOUN
ejpam-6005	322	34	.	.	PUNCT
ejpam-6005	323	1	however	however	ADV
ejpam-6005	323	2	,	,	PUNCT
ejpam-6005	323	3	if	if	SCONJ
ejpam-6005	323	4	rs	rs	ADP
ejpam-6005	323	5	1	1	NUM
ejpam-6005	323	6	>	>	SYM
ejpam-6005	323	7	1	1	NUM
ejpam-6005	323	8	,	,	PUNCT
ejpam-6005	323	9	there	there	PRON
ejpam-6005	323	10	will	will	AUX
ejpam-6005	323	11	still	still	ADV
ejpam-6005	323	12	be	be	AUX
ejpam-6005	323	13	sick	sick	ADJ
ejpam-6005	323	14	individuals	individual	NOUN
ejpam-6005	323	15	and	and	CCONJ
ejpam-6005	323	16	the	the	DET
ejpam-6005	323	17	disease	disease	NOUN
ejpam-6005	323	18	will	will	AUX
ejpam-6005	323	19	continue	continue	VERB
ejpam-6005	323	20	,	,	PUNCT
ejpam-6005	323	21	as	as	SCONJ
ejpam-6005	323	22	mention	mention	NOUN
ejpam-6005	323	23	above	above	ADP
ejpam-6005	323	24	figures	figure	NOUN
ejpam-6005	323	25	illustrates	illustrate	VERB
ejpam-6005	323	26	.	.	PUNCT
ejpam-6005	324	1	furthermore	furthermore	ADV
ejpam-6005	324	2	,	,	PUNCT
ejpam-6005	324	3	figs	fig	NOUN
ejpam-6005	324	4	(	(	PUNCT
ejpam-6005	324	5	15	15	NUM
ejpam-6005	324	6	)	)	PUNCT
ejpam-6005	324	7	illustrate	illustrate	VERB
ejpam-6005	324	8	how	how	SCONJ
ejpam-6005	324	9	vaccination	vaccination	NOUN
ejpam-6005	324	10	and	and	CCONJ
ejpam-6005	324	11	the	the	DET
ejpam-6005	324	12	level	level	NOUN
ejpam-6005	324	13	of	of	ADP
ejpam-6005	324	14	white	white	ADJ
ejpam-6005	324	15	noise	noise	NOUN
ejpam-6005	324	16	affect	affect	VERB
ejpam-6005	324	17	the	the	DET
ejpam-6005	324	18	dynamics	dynamic	NOUN
ejpam-6005	324	19	of	of	ADP
ejpam-6005	324	20	the	the	DET
ejpam-6005	324	21	compartmental	compartmental	ADJ
ejpam-6005	324	22	population	population	NOUN
ejpam-6005	324	23	.	.	PUNCT
ejpam-6005	325	1	it	it	PRON
ejpam-6005	325	2	is	be	AUX
ejpam-6005	325	3	evident	evident	ADJ
ejpam-6005	325	4	that	that	SCONJ
ejpam-6005	325	5	immunization	immunization	NOUN
ejpam-6005	325	6	and	and	CCONJ
ejpam-6005	325	7	the	the	DET
ejpam-6005	325	8	white	white	PROPN
ejpam-6005	325	9	noise	noise	NOUN
ejpam-6005	325	10	degree	degree	NOUN
ejpam-6005	325	11	variable	variable	NOUN
ejpam-6005	325	12	are	be	AUX
ejpam-6005	325	13	important	important	ADJ
ejpam-6005	325	14	factors	factor	NOUN
ejpam-6005	325	15	in	in	ADP
ejpam-6005	325	16	both	both	DET
ejpam-6005	325	17	situations	situation	NOUN
ejpam-6005	325	18	.	.	PUNCT
ejpam-6005	326	1	we	we	PRON
ejpam-6005	326	2	found	find	VERB
ejpam-6005	326	3	that	that	SCONJ
ejpam-6005	326	4	the	the	DET
ejpam-6005	326	5	amount	amount	NOUN
ejpam-6005	326	6	r.	r.	PROPN
ejpam-6005	326	7	ud	ud	ADV
ejpam-6005	326	8	din	din	PROPN
ejpam-6005	326	9	,	,	PUNCT
ejpam-6005	326	10	m.	m.	PROPN
ejpam-6005	326	11	s.	s.	PROPN
ejpam-6005	326	12	arif	arif	PROPN
ejpam-6005	326	13	/	/	SYM
ejpam-6005	326	14	eur	eur	PROPN
ejpam-6005	326	15	.	.	PUNCT
ejpam-6005	327	1	j.	j.	PROPN
ejpam-6005	327	2	pure	pure	PROPN
ejpam-6005	327	3	appl	appl	PROPN
ejpam-6005	327	4	.	.	PROPN
ejpam-6005	327	5	math	math	PROPN
ejpam-6005	327	6	,	,	PUNCT
ejpam-6005	327	7	18	18	NUM
ejpam-6005	327	8	(	(	PUNCT
ejpam-6005	327	9	2	2	NUM
ejpam-6005	327	10	)	)	PUNCT
ejpam-6005	327	11	(	(	PUNCT
ejpam-6005	327	12	2025	2025	NUM
ejpam-6005	327	13	)	)	PUNCT
ejpam-6005	327	14	,	,	PUNCT
ejpam-6005	327	15	6005	6005	NUM
ejpam-6005	327	16	20	20	NUM
ejpam-6005	327	17	of	of	ADP
ejpam-6005	327	18	27	27	NUM
ejpam-6005	327	19	t	t	NOUN
ejpam-6005	327	20	0	0	NUM
ejpam-6005	327	21	5	5	NUM
ejpam-6005	327	22	10	10	NUM
ejpam-6005	327	23	15	15	NUM
ejpam-6005	327	24	20	20	NUM
ejpam-6005	327	25	25	25	NUM
ejpam-6005	327	26	30	30	NUM
ejpam-6005	327	27	35	35	NUM
ejpam-6005	327	28	40	40	NUM
ejpam-6005	328	1	c	c	NOUN
ejpam-6005	328	2	o	o	NOUN
ejpam-6005	328	3	v	v	INTJ
ejpam-6005	329	1	i	i	NOUN
ejpam-6005	329	2	d	d	NOUN
ejpam-6005	329	3	i	i	PRON
ejpam-6005	329	4	n	n	X
ejpam-6005	329	5	fe	fe	X
ejpam-6005	330	1	c	c	X
ejpam-6005	330	2	te	te	PROPN
ejpam-6005	330	3	d	d	X
ejpam-6005	330	4	s	s	PROPN
ejpam-6005	330	5	to	to	ADP
ejpam-6005	330	6	c	c	PROPN
ejpam-6005	330	7	h	h	NOUN
ejpam-6005	330	8	a	a	DET
ejpam-6005	330	9	s	s	X
ejpam-6005	330	10	ti	ti	NOUN
ejpam-6005	330	11	c	c	NOUN
ejpam-6005	330	12	m	m	NOUN
ejpam-6005	330	13	o	o	NOUN
ejpam-6005	330	14	d	d	X
ejpam-6005	330	15	e	e	X
ejpam-6005	330	16	l	l	NOUN
ejpam-6005	330	17	0	0	NUM
ejpam-6005	330	18	0.1	0.1	NUM
ejpam-6005	330	19	0.2	0.2	NUM
ejpam-6005	330	20	0.3	0.3	NUM
ejpam-6005	330	21	0.4	0.4	NUM
ejpam-6005	330	22	0.5	0.5	NUM
ejpam-6005	330	23	0.6	0.6	NUM
ejpam-6005	330	24	0.7	0.7	NUM
ejpam-6005	330	25	0.8	0.8	NUM
ejpam-6005	330	26	figure	figure	NOUN
ejpam-6005	330	27	13	13	NUM
ejpam-6005	330	28	:	:	PUNCT
ejpam-6005	330	29	graph	graph	NOUN
ejpam-6005	330	30	of	of	ADP
ejpam-6005	330	31	numerical	numerical	ADJ
ejpam-6005	330	32	solutions	solution	NOUN
ejpam-6005	330	33	for	for	ADP
ejpam-6005	330	34	the	the	DET
ejpam-6005	330	35	stochastic	stochastic	ADJ
ejpam-6005	330	36	model	model	NOUN
ejpam-6005	330	37	(	(	PUNCT
ejpam-6005	330	38	21	21	NUM
ejpam-6005	330	39	)	)	PUNCT
ejpam-6005	330	40	covid	covid	PROPN
ejpam-6005	330	41	compartment	compartment	NOUN
ejpam-6005	330	42	by	by	ADP
ejpam-6005	330	43	using	use	VERB
ejpam-6005	330	44	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	330	45	.	.	PUNCT
ejpam-6005	331	1	t	t	NOUN
ejpam-6005	331	2	0	0	NUM
ejpam-6005	331	3	5	5	NUM
ejpam-6005	331	4	10	10	NUM
ejpam-6005	331	5	15	15	NUM
ejpam-6005	331	6	20	20	NUM
ejpam-6005	331	7	25	25	NUM
ejpam-6005	331	8	30	30	NUM
ejpam-6005	331	9	35	35	NUM
ejpam-6005	331	10	40	40	NUM
ejpam-6005	331	11	c	c	NOUN
ejpam-6005	331	12	o	o	NOUN
ejpam-6005	331	13	-i	-i	PUNCT
ejpam-6005	331	14	n	n	NUM
ejpam-6005	331	15	fe	fe	X
ejpam-6005	331	16	c	c	X
ejpam-6005	331	17	te	te	PROPN
ejpam-6005	332	1	d	d	X
ejpam-6005	332	2	s	s	PROPN
ejpam-6005	332	3	to	to	ADP
ejpam-6005	332	4	c	c	PROPN
ejpam-6005	332	5	h	h	NOUN
ejpam-6005	332	6	a	a	DET
ejpam-6005	332	7	s	s	X
ejpam-6005	332	8	ti	ti	NOUN
ejpam-6005	332	9	c	c	NOUN
ejpam-6005	332	10	m	m	NOUN
ejpam-6005	332	11	o	o	NOUN
ejpam-6005	332	12	d	d	X
ejpam-6005	332	13	e	e	X
ejpam-6005	332	14	l	l	NOUN
ejpam-6005	332	15	0	0	NUM
ejpam-6005	332	16	0.05	0.05	NUM
ejpam-6005	332	17	0.1	0.1	NUM
ejpam-6005	332	18	0.15	0.15	NUM
ejpam-6005	332	19	0.2	0.2	NUM
ejpam-6005	332	20	0.25	0.25	NUM
ejpam-6005	332	21	0.3	0.3	NUM
ejpam-6005	332	22	figure	figure	NOUN
ejpam-6005	332	23	14	14	NUM
ejpam-6005	332	24	:	:	PUNCT
ejpam-6005	332	25	graph	graph	NOUN
ejpam-6005	332	26	of	of	ADP
ejpam-6005	332	27	numerical	numerical	ADJ
ejpam-6005	332	28	solutions	solution	NOUN
ejpam-6005	332	29	for	for	ADP
ejpam-6005	332	30	the	the	DET
ejpam-6005	332	31	stochastic	stochastic	ADJ
ejpam-6005	332	32	model	model	NOUN
ejpam-6005	332	33	(	(	PUNCT
ejpam-6005	332	34	21	21	NUM
ejpam-6005	332	35	)	)	PUNCT
ejpam-6005	332	36	co	co	ADJ
ejpam-6005	332	37	-	-	ADJ
ejpam-6005	332	38	infected	infected	ADJ
ejpam-6005	332	39	compartment	compartment	NOUN
ejpam-6005	332	40	by	by	ADP
ejpam-6005	332	41	using	use	VERB
ejpam-6005	332	42	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	332	43	.	.	PUNCT
ejpam-6005	333	1	of	of	ADP
ejpam-6005	333	2	white	white	ADJ
ejpam-6005	333	3	noise	noise	NOUN
ejpam-6005	333	4	and	and	CCONJ
ejpam-6005	333	5	vaccination	vaccination	NOUN
ejpam-6005	333	6	had	have	VERB
ejpam-6005	333	7	a	a	DET
ejpam-6005	333	8	significant	significant	ADJ
ejpam-6005	333	9	impact	impact	NOUN
ejpam-6005	333	10	on	on	ADP
ejpam-6005	333	11	the	the	DET
ejpam-6005	333	12	spread	spread	NOUN
ejpam-6005	333	13	of	of	ADP
ejpam-6005	333	14	new	new	ADJ
ejpam-6005	333	15	coronavirus	coronavirus	NOUN
ejpam-6005	333	16	diseases	disease	NOUN
ejpam-6005	333	17	.	.	PUNCT
ejpam-6005	334	1	it	it	PRON
ejpam-6005	334	2	should	should	AUX
ejpam-6005	334	3	be	be	AUX
ejpam-6005	334	4	highlighted	highlight	VERB
ejpam-6005	334	5	that	that	SCONJ
ejpam-6005	334	6	,	,	PUNCT
ejpam-6005	334	7	as	as	ADP
ejpam-6005	334	8	figs	fig	NOUN
ejpam-6005	334	9	.	.	PUNCT
ejpam-6005	334	10	6	6	NUM
ejpam-6005	334	11	and	and	CCONJ
ejpam-6005	334	12	7	7	NUM
ejpam-6005	334	13	demonstrate	demonstrate	NOUN
ejpam-6005	334	14	,	,	PUNCT
ejpam-6005	334	15	increasing	increase	VERB
ejpam-6005	334	16	the	the	DET
ejpam-6005	334	17	values	value	NOUN
ejpam-6005	334	18	of	of	ADP
ejpam-6005	334	19	these	these	DET
ejpam-6005	334	20	two	two	NUM
ejpam-6005	334	21	parameters	parameter	NOUN
ejpam-6005	334	22	would	would	AUX
ejpam-6005	334	23	accelerate	accelerate	VERB
ejpam-6005	334	24	the	the	DET
ejpam-6005	334	25	extinction	extinction	NOUN
ejpam-6005	334	26	of	of	ADP
ejpam-6005	334	27	the	the	DET
ejpam-6005	334	28	disease	disease	NOUN
ejpam-6005	334	29	.	.	PUNCT
ejpam-6005	335	1	consequently	consequently	ADV
ejpam-6005	335	2	,	,	PUNCT
ejpam-6005	335	3	as	as	ADP
ejpam-6005	335	4	the	the	DET
ejpam-6005	335	5	values	value	NOUN
ejpam-6005	335	6	of	of	ADP
ejpam-6005	335	7	vf	vf	X
ejpam-6005	335	8	and	and	CCONJ
ejpam-6005	335	9	vc	vc	PROPN
ejpam-6005	335	10	rise	rise	NOUN
ejpam-6005	335	11	,	,	PUNCT
ejpam-6005	335	12	the	the	DET
ejpam-6005	335	13	number	number	NOUN
ejpam-6005	335	14	of	of	ADP
ejpam-6005	335	15	susceptible	susceptible	ADJ
ejpam-6005	335	16	and	and	CCONJ
ejpam-6005	335	17	infected	infected	ADJ
ejpam-6005	335	18	individuals	individual	NOUN
ejpam-6005	335	19	falls	fall	VERB
ejpam-6005	335	20	while	while	SCONJ
ejpam-6005	335	21	the	the	DET
ejpam-6005	335	22	numbers	number	NOUN
ejpam-6005	335	23	of	of	ADP
ejpam-6005	335	24	recovered	recovered	ADJ
ejpam-6005	335	25	population	population	NOUN
ejpam-6005	335	26	rises	rise	NOUN
ejpam-6005	335	27	.	.	PUNCT
ejpam-6005	336	1	similarly	similarly	ADV
ejpam-6005	336	2	,	,	PUNCT
ejpam-6005	336	3	as	as	SCONJ
ejpam-6005	336	4	shown	show	VERB
ejpam-6005	336	5	in	in	ADP
ejpam-6005	336	6	above	above	ADP
ejpam-6005	336	7	figures	figure	NOUN
ejpam-6005	336	8	,	,	PUNCT
ejpam-6005	336	9	in	in	ADP
ejpam-6005	336	10	the	the	DET
ejpam-6005	336	11	situation	situation	NOUN
ejpam-6005	336	12	of	of	ADP
ejpam-6005	336	13	disease	disease	NOUN
ejpam-6005	336	14	persistence	persistence	NOUN
ejpam-6005	336	15	,	,	PUNCT
ejpam-6005	336	16	vf	vf	X
ejpam-6005	336	17	is	be	AUX
ejpam-6005	336	18	directly	directly	ADV
ejpam-6005	336	19	proportional	proportional	ADJ
ejpam-6005	336	20	to	to	ADP
ejpam-6005	336	21	the	the	DET
ejpam-6005	336	22	number	number	NOUN
ejpam-6005	336	23	of	of	ADP
ejpam-6005	336	24	recovered	recover	VERB
ejpam-6005	336	25	individuals	individual	NOUN
ejpam-6005	336	26	while	while	SCONJ
ejpam-6005	336	27	inversely	inversely	ADV
ejpam-6005	336	28	related	relate	VERB
ejpam-6005	336	29	to	to	ADP
ejpam-6005	336	30	the	the	DET
ejpam-6005	336	31	amount	amount	NOUN
ejpam-6005	336	32	of	of	ADP
ejpam-6005	336	33	susceptible	susceptible	ADJ
ejpam-6005	336	34	and	and	CCONJ
ejpam-6005	336	35	infected	infected	ADJ
ejpam-6005	336	36	individuals	individual	NOUN
ejpam-6005	336	37	.	.	PUNCT
ejpam-6005	337	1	however	however	ADV
ejpam-6005	337	2	,	,	PUNCT
ejpam-6005	337	3	vf	vf	X
ejpam-6005	337	4	the	the	DET
ejpam-6005	337	5	parameter	parameter	NOUN
ejpam-6005	337	6	is	be	AUX
ejpam-6005	337	7	directly	directly	ADV
ejpam-6005	337	8	related	relate	VERB
ejpam-6005	337	9	to	to	ADP
ejpam-6005	337	10	the	the	DET
ejpam-6005	337	11	number	number	NOUN
ejpam-6005	337	12	of	of	ADP
ejpam-6005	337	13	susceptible	susceptible	ADJ
ejpam-6005	337	14	and	and	CCONJ
ejpam-6005	337	15	infected	infected	ADJ
ejpam-6005	337	16	persons	person	NOUN
ejpam-6005	337	17	and	and	CCONJ
ejpam-6005	337	18	inversely	inversely	ADV
ejpam-6005	337	19	proportional	proportional	ADJ
ejpam-6005	337	20	to	to	ADP
ejpam-6005	337	21	the	the	DET
ejpam-6005	337	22	amount	amount	NOUN
ejpam-6005	337	23	of	of	ADP
ejpam-6005	337	24	infected	infected	ADJ
ejpam-6005	337	25	individuals	individual	NOUN
ejpam-6005	337	26	.	.	PUNCT
ejpam-6005	338	1	to	to	PART
ejpam-6005	338	2	see	see	VERB
ejpam-6005	338	3	the	the	DET
ejpam-6005	338	4	figures	figure	NOUN
ejpam-6005	338	5	(	(	PUNCT
ejpam-6005	338	6	17	17	NUM
ejpam-6005	338	7	-	-	SYM
ejpam-6005	338	8	23	23	NUM
ejpam-6005	338	9	)	)	PUNCT
ejpam-6005	338	10	the	the	DET
ejpam-6005	338	11	dynamics	dynamic	NOUN
ejpam-6005	338	12	of	of	ADP
ejpam-6005	338	13	the	the	DET
ejpam-6005	338	14	stochastic	stochastic	ADJ
ejpam-6005	338	15	and	and	CCONJ
ejpam-6005	338	16	deterministic	deterministic	ADJ
ejpam-6005	338	17	follow	follow	VERB
ejpam-6005	338	18	real	real	ADJ
ejpam-6005	338	19	data	datum	NOUN
ejpam-6005	338	20	,	,	PUNCT
ejpam-6005	338	21	which	which	PRON
ejpam-6005	338	22	r.	r.	PROPN
ejpam-6005	338	23	ud	ud	PROPN
ejpam-6005	338	24	din	din	PROPN
ejpam-6005	338	25	,	,	PUNCT
ejpam-6005	338	26	m.	m.	PROPN
ejpam-6005	338	27	s.	s.	PROPN
ejpam-6005	338	28	arif	arif	PROPN
ejpam-6005	338	29	/	/	SYM
ejpam-6005	338	30	eur	eur	PROPN
ejpam-6005	338	31	.	.	PUNCT
ejpam-6005	339	1	j.	j.	PROPN
ejpam-6005	339	2	pure	pure	PROPN
ejpam-6005	339	3	appl	appl	PROPN
ejpam-6005	339	4	.	.	PROPN
ejpam-6005	339	5	math	math	PROPN
ejpam-6005	339	6	,	,	PUNCT
ejpam-6005	339	7	18	18	NUM
ejpam-6005	339	8	(	(	PUNCT
ejpam-6005	339	9	2	2	NUM
ejpam-6005	339	10	)	)	PUNCT
ejpam-6005	339	11	(	(	PUNCT
ejpam-6005	339	12	2025	2025	NUM
ejpam-6005	339	13	)	)	PUNCT
ejpam-6005	339	14	,	,	PUNCT
ejpam-6005	339	15	6005	6005	NUM
ejpam-6005	339	16	21	21	NUM
ejpam-6005	339	17	of	of	ADP
ejpam-6005	339	18	27	27	NUM
ejpam-6005	339	19	t	t	NOUN
ejpam-6005	339	20	0	0	NUM
ejpam-6005	339	21	5	5	NUM
ejpam-6005	339	22	10	10	NUM
ejpam-6005	339	23	15	15	NUM
ejpam-6005	339	24	20	20	NUM
ejpam-6005	339	25	25	25	NUM
ejpam-6005	339	26	30	30	NUM
ejpam-6005	339	27	35	35	NUM
ejpam-6005	339	28	40	40	NUM
ejpam-6005	339	29	v	v	NOUN
ejpam-6005	339	30	a	a	DET
ejpam-6005	339	31	c	c	NOUN
ejpam-6005	339	32	c	c	NOUN
ejpam-6005	339	33	in	in	ADP
ejpam-6005	339	34	a	a	DET
ejpam-6005	339	35	te	te	PROPN
ejpam-6005	339	36	d	d	X
ejpam-6005	339	37	s	s	PROPN
ejpam-6005	339	38	to	to	ADP
ejpam-6005	339	39	c	c	PROPN
ejpam-6005	339	40	h	h	NOUN
ejpam-6005	339	41	a	a	DET
ejpam-6005	339	42	s	s	X
ejpam-6005	339	43	ti	ti	NOUN
ejpam-6005	339	44	c	c	NOUN
ejpam-6005	339	45	m	m	NOUN
ejpam-6005	339	46	o	o	NOUN
ejpam-6005	339	47	d	d	X
ejpam-6005	339	48	e	e	X
ejpam-6005	339	49	l	l	NOUN
ejpam-6005	339	50	0	0	NUM
ejpam-6005	339	51	0.005	0.005	NUM
ejpam-6005	339	52	0.01	0.01	NUM
ejpam-6005	339	53	0.015	0.015	NUM
ejpam-6005	339	54	0.02	0.02	NUM
ejpam-6005	339	55	0.025	0.025	NUM
ejpam-6005	339	56	0.03	0.03	NUM
ejpam-6005	339	57	figure	figure	NOUN
ejpam-6005	339	58	15	15	NUM
ejpam-6005	339	59	:	:	PUNCT
ejpam-6005	339	60	graph	graph	NOUN
ejpam-6005	339	61	of	of	ADP
ejpam-6005	339	62	numerical	numerical	ADJ
ejpam-6005	339	63	solutions	solution	NOUN
ejpam-6005	339	64	for	for	ADP
ejpam-6005	339	65	the	the	DET
ejpam-6005	339	66	stochastic	stochastic	ADJ
ejpam-6005	339	67	model	model	NOUN
ejpam-6005	339	68	(	(	PUNCT
ejpam-6005	339	69	21	21	NUM
ejpam-6005	339	70	)	)	PUNCT
ejpam-6005	339	71	vaccination	vaccination	NOUN
ejpam-6005	339	72	compartment	compartment	NOUN
ejpam-6005	339	73	by	by	ADP
ejpam-6005	339	74	using	use	VERB
ejpam-6005	339	75	euler	euler	NOUN
ejpam-6005	339	76	-	-	PUNCT
ejpam-6005	339	77	maruyama	maruyama	NOUN
ejpam-6005	339	78	.	.	PUNCT
ejpam-6005	340	1	t	t	NOUN
ejpam-6005	340	2	0	0	NUM
ejpam-6005	340	3	5	5	NUM
ejpam-6005	340	4	10	10	NUM
ejpam-6005	340	5	15	15	NUM
ejpam-6005	340	6	20	20	NUM
ejpam-6005	340	7	25	25	NUM
ejpam-6005	340	8	30	30	NUM
ejpam-6005	340	9	35	35	NUM
ejpam-6005	340	10	40	40	NUM
ejpam-6005	341	1	r	r	NOUN
ejpam-6005	341	2	e	e	NOUN
ejpam-6005	341	3	c	c	NOUN
ejpam-6005	341	4	o	o	X
ejpam-6005	341	5	v	v	X
ejpam-6005	341	6	e	e	X
ejpam-6005	341	7	re	re	ADP
ejpam-6005	341	8	d	d	NOUN
ejpam-6005	341	9	s	s	VERB
ejpam-6005	341	10	to	to	ADP
ejpam-6005	341	11	c	c	PROPN
ejpam-6005	341	12	h	h	NOUN
ejpam-6005	341	13	a	a	DET
ejpam-6005	341	14	s	s	X
ejpam-6005	341	15	ti	ti	NOUN
ejpam-6005	341	16	c	c	NOUN
ejpam-6005	341	17	m	m	NOUN
ejpam-6005	341	18	o	o	NOUN
ejpam-6005	341	19	d	d	X
ejpam-6005	341	20	e	e	X
ejpam-6005	341	21	l	l	NOUN
ejpam-6005	341	22	0.2	0.2	NUM
ejpam-6005	341	23	0.4	0.4	NUM
ejpam-6005	341	24	0.6	0.6	NUM
ejpam-6005	341	25	0.8	0.8	NUM
ejpam-6005	341	26	1	1	NUM
ejpam-6005	341	27	1.2	1.2	NUM
ejpam-6005	341	28	1.4	1.4	NUM
ejpam-6005	341	29	1.6	1.6	NUM
ejpam-6005	341	30	figure	figure	NOUN
ejpam-6005	341	31	16	16	NUM
ejpam-6005	341	32	:	:	PUNCT
ejpam-6005	341	33	graph	graph	NOUN
ejpam-6005	341	34	of	of	ADP
ejpam-6005	341	35	numerical	numerical	ADJ
ejpam-6005	341	36	solutions	solution	NOUN
ejpam-6005	341	37	for	for	ADP
ejpam-6005	341	38	the	the	DET
ejpam-6005	341	39	stochastic	stochastic	ADJ
ejpam-6005	341	40	model	model	NOUN
ejpam-6005	341	41	(	(	PUNCT
ejpam-6005	341	42	21	21	NUM
ejpam-6005	341	43	)	)	PUNCT
ejpam-6005	341	44	recovered	recover	VERB
ejpam-6005	341	45	compartment	compartment	NOUN
ejpam-6005	341	46	by	by	ADP
ejpam-6005	341	47	using	use	VERB
ejpam-6005	341	48	eulermaruyama	eulermaruyama	PROPN
ejpam-6005	341	49	.	.	PUNCT
ejpam-6005	342	1	show	show	NOUN
ejpam-6005	342	2	accuracy	accuracy	NOUN
ejpam-6005	342	3	of	of	ADP
ejpam-6005	342	4	our	our	PRON
ejpam-6005	342	5	model	model	NOUN
ejpam-6005	342	6	.	.	PUNCT
ejpam-6005	343	1	9	9	X
ejpam-6005	343	2	.	.	X
ejpam-6005	343	3	conclusion	conclusion	NOUN
ejpam-6005	343	4	cases	case	NOUN
ejpam-6005	343	5	of	of	ADP
ejpam-6005	343	6	co	co	NOUN
ejpam-6005	343	7	-	-	NOUN
ejpam-6005	343	8	infection	infection	NOUN
ejpam-6005	343	9	with	with	ADP
ejpam-6005	343	10	sars	sar	NOUN
ejpam-6005	343	11	-	-	PUNCT
ejpam-6005	343	12	cov-2	cov-2	PART
ejpam-6005	343	13	and	and	CCONJ
ejpam-6005	343	14	influenza	influenza	NOUN
ejpam-6005	343	15	have	have	AUX
ejpam-6005	343	16	been	be	AUX
ejpam-6005	343	17	investigated	investigate	VERB
ejpam-6005	343	18	in	in	ADP
ejpam-6005	343	19	recent	recent	ADJ
ejpam-6005	343	20	studies	study	NOUN
ejpam-6005	343	21	[	[	X
ejpam-6005	343	22	30–34	30–34	NUM
ejpam-6005	343	23	]	]	X
ejpam-6005	343	24	.	.	PUNCT
ejpam-6005	344	1	mathematical	mathematical	ADJ
ejpam-6005	344	2	models	model	NOUN
ejpam-6005	344	3	can	can	AUX
ejpam-6005	344	4	provide	provide	VERB
ejpam-6005	344	5	valuable	valuable	ADJ
ejpam-6005	344	6	insights	insight	NOUN
ejpam-6005	344	7	into	into	ADP
ejpam-6005	344	8	the	the	DET
ejpam-6005	344	9	dynamics	dynamic	NOUN
ejpam-6005	344	10	of	of	ADP
ejpam-6005	344	11	mutual	mutual	ADJ
ejpam-6005	344	12	infection	infection	NOUN
ejpam-6005	344	13	within	within	ADP
ejpam-6005	344	14	a	a	DET
ejpam-6005	344	15	host	host	NOUN
ejpam-6005	344	16	.	.	PUNCT
ejpam-6005	345	1	in	in	ADP
ejpam-6005	345	2	this	this	DET
ejpam-6005	345	3	work	work	NOUN
ejpam-6005	345	4	,	,	PUNCT
ejpam-6005	345	5	we	we	PRON
ejpam-6005	345	6	developed	develop	VERB
ejpam-6005	345	7	and	and	CCONJ
ejpam-6005	345	8	analyzed	analyze	VERB
ejpam-6005	345	9	a	a	DET
ejpam-6005	345	10	system	system	NOUN
ejpam-6005	345	11	of	of	ADP
ejpam-6005	345	12	differential	differential	ADJ
ejpam-6005	345	13	equations	equation	NOUN
ejpam-6005	345	14	(	(	PUNCT
ejpam-6005	345	15	ddes	ddes	PROPN
ejpam-6005	345	16	)	)	PUNCT
ejpam-6005	345	17	and	and	CCONJ
ejpam-6005	345	18	stochastic	stochastic	ADJ
ejpam-6005	345	19	differential	differential	ADJ
ejpam-6005	345	20	equations	equation	NOUN
ejpam-6005	345	21	(	(	PUNCT
ejpam-6005	345	22	sdes	sde	NOUN
ejpam-6005	345	23	)	)	PUNCT
ejpam-6005	345	24	to	to	PART
ejpam-6005	345	25	characterize	characterize	VERB
ejpam-6005	345	26	the	the	DET
ejpam-6005	345	27	progression	progression	NOUN
ejpam-6005	345	28	of	of	ADP
ejpam-6005	345	29	influenza	influenza	NOUN
ejpam-6005	345	30	and	and	CCONJ
ejpam-6005	345	31	sars	sar	NOUN
ejpam-6005	345	32	-	-	PUNCT
ejpam-6005	345	33	cov-2	cov-2	PART
ejpam-6005	345	34	co	co	NOUN
ejpam-6005	345	35	-	-	NOUN
ejpam-6005	345	36	infection	infection	NOUN
ejpam-6005	345	37	.	.	PUNCT
ejpam-6005	346	1	we	we	PRON
ejpam-6005	346	2	established	establish	VERB
ejpam-6005	346	3	the	the	DET
ejpam-6005	346	4	system	system	NOUN
ejpam-6005	346	5	’s	’s	PART
ejpam-6005	346	6	fundamental	fundamental	ADJ
ejpam-6005	346	7	properties	property	NOUN
ejpam-6005	346	8	,	,	PUNCT
ejpam-6005	346	9	including	include	VERB
ejpam-6005	346	10	boundedness	boundedness	NOUN
ejpam-6005	346	11	and	and	CCONJ
ejpam-6005	346	12	non	non	ADJ
ejpam-6005	346	13	-	-	NOUN
ejpam-6005	346	14	negativity	negativity	NOUN
ejpam-6005	346	15	.	.	PUNCT
ejpam-6005	347	1	furthermore	furthermore	ADV
ejpam-6005	347	2	,	,	PUNCT
ejpam-6005	347	3	we	we	PRON
ejpam-6005	347	4	identified	identify	VERB
ejpam-6005	347	5	r.	r.	PROPN
ejpam-6005	347	6	ud	ud	PROPN
ejpam-6005	347	7	din	din	PROPN
ejpam-6005	347	8	,	,	PUNCT
ejpam-6005	347	9	m.	m.	PROPN
ejpam-6005	347	10	s.	s.	PROPN
ejpam-6005	347	11	arif	arif	PROPN
ejpam-6005	347	12	/	/	SYM
ejpam-6005	347	13	eur	eur	PROPN
ejpam-6005	347	14	.	.	PUNCT
ejpam-6005	348	1	j.	j.	PROPN
ejpam-6005	348	2	pure	pure	PROPN
ejpam-6005	348	3	appl	appl	PROPN
ejpam-6005	348	4	.	.	PROPN
ejpam-6005	348	5	math	math	PROPN
ejpam-6005	348	6	,	,	PUNCT
ejpam-6005	348	7	18	18	NUM
ejpam-6005	348	8	(	(	PUNCT
ejpam-6005	348	9	2	2	NUM
ejpam-6005	348	10	)	)	PUNCT
ejpam-6005	348	11	(	(	PUNCT
ejpam-6005	348	12	2025	2025	NUM
ejpam-6005	348	13	)	)	PUNCT
ejpam-6005	348	14	,	,	PUNCT
ejpam-6005	348	15	6005	6005	NUM
ejpam-6005	348	16	22	22	NUM
ejpam-6005	348	17	of	of	ADP
ejpam-6005	348	18	27	27	NUM
ejpam-6005	348	19	time	time	NOUN
ejpam-6005	348	20	(	(	PUNCT
ejpam-6005	348	21	days	day	NOUN
ejpam-6005	348	22	)	)	PUNCT
ejpam-6005	348	23	0	0	NUM
ejpam-6005	348	24	5	5	NUM
ejpam-6005	348	25	10	10	NUM
ejpam-6005	348	26	15	15	NUM
ejpam-6005	348	27	20	20	NUM
ejpam-6005	348	28	25	25	NUM
ejpam-6005	348	29	30	30	NUM
ejpam-6005	348	30	35	35	NUM
ejpam-6005	348	31	40	40	NUM
ejpam-6005	348	32	s	s	NOUN
ejpam-6005	348	33	u	u	NOUN
ejpam-6005	348	34	s	s	PRON
ejpam-6005	348	35	c	c	NOUN
ejpam-6005	348	36	e	e	NOUN
ejpam-6005	348	37	p	p	X
ejpam-6005	348	38	ti	ti	PROPN
ejpam-6005	348	39	b	b	X
ejpam-6005	348	40	le	le	X
ejpam-6005	348	41	0.25	0.25	NUM
ejpam-6005	348	42	0.3	0.3	NUM
ejpam-6005	348	43	0.35	0.35	NUM
ejpam-6005	348	44	0.4	0.4	NUM
ejpam-6005	348	45	0.45	0.45	NUM
ejpam-6005	348	46	0.5	0.5	NUM
ejpam-6005	348	47	susceptible	susceptible	ADJ
ejpam-6005	348	48	stochastic	stochastic	ADJ
ejpam-6005	348	49	deterministic	deterministic	ADJ
ejpam-6005	348	50	real	real	ADJ
ejpam-6005	348	51	data	datum	NOUN
ejpam-6005	348	52	figure	figure	NOUN
ejpam-6005	348	53	17	17	NUM
ejpam-6005	348	54	:	:	PUNCT
ejpam-6005	348	55	comparison	comparison	NOUN
ejpam-6005	348	56	of	of	ADP
ejpam-6005	348	57	susceptible	susceptible	ADJ
ejpam-6005	348	58	compartment	compartment	NOUN
ejpam-6005	348	59	.	.	PUNCT
ejpam-6005	349	1	time	time	NOUN
ejpam-6005	349	2	(	(	PUNCT
ejpam-6005	349	3	days	day	NOUN
ejpam-6005	349	4	)	)	PUNCT
ejpam-6005	349	5	0	0	NUM
ejpam-6005	349	6	5	5	NUM
ejpam-6005	349	7	10	10	NUM
ejpam-6005	349	8	15	15	NUM
ejpam-6005	349	9	20	20	NUM
ejpam-6005	349	10	25	25	NUM
ejpam-6005	349	11	30	30	NUM
ejpam-6005	349	12	35	35	NUM
ejpam-6005	349	13	40	40	NUM
ejpam-6005	349	14	e	e	NOUN
ejpam-6005	349	15	x	x	X
ejpam-6005	349	16	p	p	X
ejpam-6005	349	17	o	o	X
ejpam-6005	349	18	s	s	X
ejpam-6005	349	19	e	e	X
ejpam-6005	349	20	d	d	X
ejpam-6005	349	21	0	0	NUM
ejpam-6005	349	22	0.002	0.002	NUM
ejpam-6005	349	23	0.004	0.004	NUM
ejpam-6005	349	24	0.006	0.006	NUM
ejpam-6005	349	25	0.008	0.008	NUM
ejpam-6005	349	26	0.01	0.01	NUM
ejpam-6005	349	27	0.012	0.012	NUM
ejpam-6005	349	28	0.014	0.014	NUM
ejpam-6005	349	29	exposed	expose	VERB
ejpam-6005	349	30	stochastic	stochastic	ADJ
ejpam-6005	349	31	deterministic	deterministic	ADJ
ejpam-6005	349	32	real	real	ADJ
ejpam-6005	349	33	data	datum	NOUN
ejpam-6005	349	34	figure	figure	NOUN
ejpam-6005	349	35	18	18	NUM
ejpam-6005	349	36	:	:	PUNCT
ejpam-6005	349	37	comparison	comparison	NOUN
ejpam-6005	349	38	of	of	ADP
ejpam-6005	349	39	exposed	expose	VERB
ejpam-6005	349	40	compartment	compartment	NOUN
ejpam-6005	349	41	.	.	PUNCT
ejpam-6005	350	1	the	the	DET
ejpam-6005	350	2	system	system	NOUN
ejpam-6005	350	3	’s	’s	PART
ejpam-6005	350	4	equilibria	equilibrium	NOUN
ejpam-6005	351	1	and	and	CCONJ
ejpam-6005	351	2	examined	examine	VERB
ejpam-6005	351	3	their	their	PRON
ejpam-6005	351	4	existence	existence	NOUN
ejpam-6005	351	5	and	and	CCONJ
ejpam-6005	351	6	stability	stability	NOUN
ejpam-6005	351	7	,	,	PUNCT
ejpam-6005	351	8	locally	locally	ADV
ejpam-6005	351	9	and	and	CCONJ
ejpam-6005	351	10	globally	globally	ADV
ejpam-6005	351	11	.	.	PUNCT
ejpam-6005	352	1	our	our	PRON
ejpam-6005	352	2	numerical	numerical	ADJ
ejpam-6005	352	3	simulations	simulation	NOUN
ejpam-6005	352	4	were	be	AUX
ejpam-6005	352	5	consistent	consistent	ADJ
ejpam-6005	352	6	with	with	ADP
ejpam-6005	352	7	the	the	DET
ejpam-6005	352	8	theoretical	theoretical	ADJ
ejpam-6005	352	9	results	result	NOUN
ejpam-6005	352	10	,	,	PUNCT
ejpam-6005	352	11	reinforcing	reinforce	VERB
ejpam-6005	352	12	the	the	DET
ejpam-6005	352	13	validity	validity	NOUN
ejpam-6005	352	14	of	of	ADP
ejpam-6005	352	15	our	our	PRON
ejpam-6005	352	16	analysis	analysis	NOUN
ejpam-6005	352	17	.	.	PUNCT
ejpam-6005	353	1	as	as	ADP
ejpam-6005	353	2	part	part	NOUN
ejpam-6005	353	3	of	of	ADP
ejpam-6005	353	4	future	future	ADJ
ejpam-6005	353	5	work	work	NOUN
ejpam-6005	353	6	,	,	PUNCT
ejpam-6005	353	7	we	we	PRON
ejpam-6005	353	8	aim	aim	VERB
ejpam-6005	353	9	to	to	PART
ejpam-6005	353	10	enhance	enhance	VERB
ejpam-6005	353	11	our	our	PRON
ejpam-6005	353	12	model	model	NOUN
ejpam-6005	353	13	by	by	ADP
ejpam-6005	353	14	integrating	integrate	VERB
ejpam-6005	353	15	neural	neural	ADJ
ejpam-6005	353	16	networks	network	NOUN
ejpam-6005	353	17	and	and	CCONJ
ejpam-6005	353	18	artificial	artificial	ADJ
ejpam-6005	353	19	intelligence	intelligence	NOUN
ejpam-6005	353	20	(	(	PUNCT
ejpam-6005	353	21	ai	ai	NOUN
ejpam-6005	353	22	)	)	PUNCT
ejpam-6005	353	23	techniques	technique	NOUN
ejpam-6005	353	24	[	[	X
ejpam-6005	353	25	35	35	NUM
ejpam-6005	353	26	]	]	PUNCT
ejpam-6005	353	27	.	.	PUNCT
ejpam-6005	354	1	these	these	DET
ejpam-6005	354	2	tools	tool	NOUN
ejpam-6005	354	3	will	will	AUX
ejpam-6005	354	4	enable	enable	VERB
ejpam-6005	354	5	more	more	ADV
ejpam-6005	354	6	accurate	accurate	ADJ
ejpam-6005	354	7	prediction	prediction	NOUN
ejpam-6005	354	8	,	,	PUNCT
ejpam-6005	354	9	parameter	parameter	NOUN
ejpam-6005	354	10	estimation	estimation	NOUN
ejpam-6005	354	11	,	,	PUNCT
ejpam-6005	354	12	and	and	CCONJ
ejpam-6005	354	13	real	real	ADJ
ejpam-6005	354	14	-	-	PUNCT
ejpam-6005	354	15	time	time	NOUN
ejpam-6005	354	16	adaptation	adaptation	NOUN
ejpam-6005	354	17	of	of	ADP
ejpam-6005	354	18	the	the	DET
ejpam-6005	354	19	model	model	NOUN
ejpam-6005	354	20	,	,	PUNCT
ejpam-6005	354	21	ultimately	ultimately	ADV
ejpam-6005	354	22	advancing	advance	VERB
ejpam-6005	354	23	our	our	PRON
ejpam-6005	354	24	understanding	understanding	NOUN
ejpam-6005	354	25	of	of	ADP
ejpam-6005	354	26	co	co	ADJ
ejpam-6005	354	27	-	-	NOUN
ejpam-6005	354	28	infection	infection	NOUN
ejpam-6005	354	29	dynamics	dynamic	NOUN
ejpam-6005	354	30	and	and	CCONJ
ejpam-6005	354	31	improving	improve	VERB
ejpam-6005	354	32	decision	decision	NOUN
ejpam-6005	354	33	-	-	PUNCT
ejpam-6005	354	34	making	making	NOUN
ejpam-6005	354	35	in	in	ADP
ejpam-6005	354	36	public	public	ADJ
ejpam-6005	354	37	health	health	NOUN
ejpam-6005	354	38	interventions	intervention	NOUN
ejpam-6005	354	39	.	.	PUNCT
ejpam-6005	355	1	declarations	declaration	NOUN
ejpam-6005	355	2	all	all	DET
ejpam-6005	355	3	authors	author	NOUN
ejpam-6005	355	4	have	have	AUX
ejpam-6005	355	5	read	read	VERB
ejpam-6005	355	6	and	and	CCONJ
ejpam-6005	355	7	approved	approve	VERB
ejpam-6005	355	8	the	the	DET
ejpam-6005	355	9	final	final	ADJ
ejpam-6005	355	10	manuscript	manuscript	NOUN
ejpam-6005	355	11	.	.	PUNCT
ejpam-6005	356	1	authors	author	NOUN
ejpam-6005	356	2	contributions	contribution	VERB
ejpam-6005	356	3	r.	r.	PROPN
ejpam-6005	356	4	ud	ud	PROPN
ejpam-6005	356	5	din	din	PROPN
ejpam-6005	356	6	,	,	PUNCT
ejpam-6005	356	7	m.	m.	PROPN
ejpam-6005	356	8	s.	s.	PROPN
ejpam-6005	356	9	arif	arif	PROPN
ejpam-6005	356	10	/	/	SYM
ejpam-6005	356	11	eur	eur	PROPN
ejpam-6005	356	12	.	.	PUNCT
ejpam-6005	357	1	j.	j.	PROPN
ejpam-6005	357	2	pure	pure	PROPN
ejpam-6005	357	3	appl	appl	PROPN
ejpam-6005	357	4	.	.	PROPN
ejpam-6005	357	5	math	math	PROPN
ejpam-6005	357	6	,	,	PUNCT
ejpam-6005	357	7	18	18	NUM
ejpam-6005	357	8	(	(	PUNCT
ejpam-6005	357	9	2	2	NUM
ejpam-6005	357	10	)	)	PUNCT
ejpam-6005	357	11	(	(	PUNCT
ejpam-6005	357	12	2025	2025	NUM
ejpam-6005	357	13	)	)	PUNCT
ejpam-6005	357	14	,	,	PUNCT
ejpam-6005	357	15	6005	6005	NUM
ejpam-6005	357	16	23	23	NUM
ejpam-6005	357	17	of	of	ADP
ejpam-6005	357	18	27	27	NUM
ejpam-6005	357	19	time	time	NOUN
ejpam-6005	357	20	(	(	PUNCT
ejpam-6005	357	21	days	day	NOUN
ejpam-6005	357	22	)	)	PUNCT
ejpam-6005	357	23	0	0	NUM
ejpam-6005	357	24	5	5	NUM
ejpam-6005	357	25	10	10	NUM
ejpam-6005	357	26	15	15	NUM
ejpam-6005	357	27	20	20	NUM
ejpam-6005	357	28	25	25	NUM
ejpam-6005	357	29	30	30	NUM
ejpam-6005	357	30	35	35	NUM
ejpam-6005	357	31	40	40	NUM
ejpam-6005	357	32	in	in	ADP
ejpam-6005	357	33	fl	fl	NUM
ejpam-6005	357	34	u	u	PROPN
ejpam-6005	357	35	e	e	PROPN
ejpam-6005	357	36	n	n	PROPN
ejpam-6005	357	37	z	z	PROPN
ejpam-6005	357	38	a	a	PRON
ejpam-6005	358	1	i	i	PRON
ejpam-6005	358	2	n	n	X
ejpam-6005	358	3	fe	fe	X
ejpam-6005	359	1	c	c	X
ejpam-6005	359	2	te	te	PROPN
ejpam-6005	359	3	d	d	PROPN
ejpam-6005	359	4	×10	×10	PROPN
ejpam-6005	359	5	-	-	SYM
ejpam-6005	359	6	3	3	NUM
ejpam-6005	359	7	0	0	NUM
ejpam-6005	359	8	1	1	NUM
ejpam-6005	359	9	2	2	NUM
ejpam-6005	359	10	3	3	NUM
ejpam-6005	359	11	4	4	NUM
ejpam-6005	359	12	5	5	NUM
ejpam-6005	359	13	6	6	NUM
ejpam-6005	359	14	7	7	NUM
ejpam-6005	359	15	8	8	NUM
ejpam-6005	359	16	influenza	influenza	NOUN
ejpam-6005	359	17	infected	infect	VERB
ejpam-6005	359	18	stochastic	stochastic	ADJ
ejpam-6005	359	19	deterministic	deterministic	ADJ
ejpam-6005	359	20	real	real	ADJ
ejpam-6005	359	21	data	datum	NOUN
ejpam-6005	359	22	figure	figure	NOUN
ejpam-6005	359	23	19	19	NUM
ejpam-6005	359	24	:	:	PUNCT
ejpam-6005	359	25	comparison	comparison	NOUN
ejpam-6005	359	26	of	of	ADP
ejpam-6005	359	27	influenza	influenza	NOUN
ejpam-6005	359	28	infected	infect	VERB
ejpam-6005	359	29	compartment	compartment	NOUN
ejpam-6005	359	30	.	.	PUNCT
ejpam-6005	360	1	time	time	NOUN
ejpam-6005	360	2	(	(	PUNCT
ejpam-6005	360	3	days	day	NOUN
ejpam-6005	360	4	)	)	PUNCT
ejpam-6005	360	5	0	0	NUM
ejpam-6005	360	6	5	5	NUM
ejpam-6005	360	7	10	10	NUM
ejpam-6005	360	8	15	15	NUM
ejpam-6005	360	9	20	20	NUM
ejpam-6005	360	10	25	25	NUM
ejpam-6005	360	11	30	30	NUM
ejpam-6005	360	12	35	35	NUM
ejpam-6005	360	13	40	40	NUM
ejpam-6005	360	14	c	c	NOUN
ejpam-6005	360	15	o	o	NOUN
ejpam-6005	360	16	v	v	INTJ
ejpam-6005	360	17	i	i	NOUN
ejpam-6005	360	18	d	d	NOUN
ejpam-6005	360	19	i	i	PRON
ejpam-6005	360	20	n	n	X
ejpam-6005	360	21	fe	fe	X
ejpam-6005	360	22	c	c	X
ejpam-6005	360	23	te	te	PROPN
ejpam-6005	360	24	d	d	X
ejpam-6005	360	25	0	0	NUM
ejpam-6005	360	26	0.05	0.05	NUM
ejpam-6005	360	27	0.1	0.1	NUM
ejpam-6005	360	28	0.15	0.15	NUM
ejpam-6005	360	29	covid	covid	NOUN
ejpam-6005	360	30	infected	infect	VERB
ejpam-6005	360	31	stochastic	stochastic	ADJ
ejpam-6005	360	32	deterministic	deterministic	ADJ
ejpam-6005	360	33	real	real	ADJ
ejpam-6005	360	34	data	datum	NOUN
ejpam-6005	360	35	figure	figure	NOUN
ejpam-6005	360	36	20	20	NUM
ejpam-6005	360	37	:	:	PUNCT
ejpam-6005	360	38	comparison	comparison	NOUN
ejpam-6005	360	39	of	of	ADP
ejpam-6005	360	40	covid	covid	PROPN
ejpam-6005	360	41	infected	infected	ADJ
ejpam-6005	360	42	compartment	compartment	NOUN
ejpam-6005	360	43	.	.	PUNCT
ejpam-6005	361	1	conceptualization	conceptualization	NOUN
ejpam-6005	361	2	:	:	PUNCT
ejpam-6005	362	1	[	[	X
ejpam-6005	362	2	author	author	NOUN
ejpam-6005	362	3	a	a	X
ejpam-6005	362	4	,	,	PUNCT
ejpam-6005	362	5	author	author	NOUN
ejpam-6005	362	6	b	b	X
ejpam-6005	362	7	]	]	X
ejpam-6005	362	8	methodology	methodology	NOUN
ejpam-6005	362	9	:	:	PUNCT
ejpam-6005	363	1	[	[	X
ejpam-6005	363	2	author	author	NOUN
ejpam-6005	363	3	a	a	X
ejpam-6005	363	4	]	]	X
ejpam-6005	363	5	formal	formal	ADJ
ejpam-6005	363	6	analysis	analysis	NOUN
ejpam-6005	363	7	:	:	PUNCT
ejpam-6005	363	8	[	[	X
ejpam-6005	363	9	author	author	NOUN
ejpam-6005	363	10	a	a	X
ejpam-6005	363	11	]	]	X
ejpam-6005	363	12	investigation	investigation	NOUN
ejpam-6005	363	13	:	:	PUNCT
ejpam-6005	364	1	[	[	X
ejpam-6005	364	2	author	author	NOUN
ejpam-6005	364	3	a	a	X
ejpam-6005	364	4	,	,	PUNCT
ejpam-6005	364	5	author	author	NOUN
ejpam-6005	364	6	b	b	X
ejpam-6005	364	7	]	]	X
ejpam-6005	364	8	data	datum	NOUN
ejpam-6005	364	9	correction	correction	NOUN
ejpam-6005	364	10	:	:	PUNCT
ejpam-6005	364	11	[	[	X
ejpam-6005	364	12	author	author	NOUN
ejpam-6005	364	13	b	b	X
ejpam-6005	364	14	]	]	PUNCT
ejpam-6005	364	15	writing	write	VERB
ejpam-6005	364	16	original	original	ADJ
ejpam-6005	364	17	draft	draft	NOUN
ejpam-6005	364	18	:	:	PUNCT
ejpam-6005	364	19	[	[	X
ejpam-6005	364	20	author	author	NOUN
ejpam-6005	364	21	a	a	X
ejpam-6005	364	22	]	]	PUNCT
ejpam-6005	364	23	writing	write	VERB
ejpam-6005	364	24	review	review	NOUN
ejpam-6005	364	25	&	&	CCONJ
ejpam-6005	364	26	editing	edit	VERB
ejpam-6005	364	27	:	:	PUNCT
ejpam-6005	365	1	[	[	X
ejpam-6005	365	2	author	author	NOUN
ejpam-6005	365	3	a	a	X
ejpam-6005	365	4	,	,	PUNCT
ejpam-6005	365	5	author	author	NOUN
ejpam-6005	365	6	b	b	PROPN
ejpam-6005	365	7	,	,	PUNCT
ejpam-6005	365	8	]	]	PUNCT
ejpam-6005	365	9	visualization	visualization	NOUN
ejpam-6005	365	10	:	:	PUNCT
ejpam-6005	365	11	[	[	PUNCT
ejpam-6005	365	12	author	author	NOUN
ejpam-6005	365	13	b	b	X
ejpam-6005	365	14	]	]	X
ejpam-6005	365	15	supervision	supervision	NOUN
ejpam-6005	365	16	:	:	PUNCT
ejpam-6005	366	1	[	[	X
ejpam-6005	366	2	author	author	NOUN
ejpam-6005	366	3	b	b	X
ejpam-6005	366	4	]	]	X
ejpam-6005	366	5	project	project	NOUN
ejpam-6005	366	6	administration	administration	NOUN
ejpam-6005	366	7	:	:	PUNCT
ejpam-6005	367	1	[	[	X
ejpam-6005	367	2	author	author	NOUN
ejpam-6005	367	3	b	b	X
ejpam-6005	367	4	]	]	PUNCT
ejpam-6005	367	5	funding	funding	NOUN
ejpam-6005	367	6	acquisition	acquisition	NOUN
ejpam-6005	367	7	:	:	PUNCT
ejpam-6005	368	1	[	[	X
ejpam-6005	368	2	author	author	NOUN
ejpam-6005	368	3	b	b	X
ejpam-6005	368	4	]	]	X
ejpam-6005	368	5	r.	r.	PROPN
ejpam-6005	368	6	ud	ud	PROPN
ejpam-6005	368	7	din	din	PROPN
ejpam-6005	368	8	,	,	PUNCT
ejpam-6005	368	9	m.	m.	PROPN
ejpam-6005	368	10	s.	s.	PROPN
ejpam-6005	368	11	arif	arif	PROPN
ejpam-6005	368	12	/	/	SYM
ejpam-6005	368	13	eur	eur	PROPN
ejpam-6005	368	14	.	.	PUNCT
ejpam-6005	369	1	j.	j.	PROPN
ejpam-6005	369	2	pure	pure	PROPN
ejpam-6005	369	3	appl	appl	PROPN
ejpam-6005	369	4	.	.	PROPN
ejpam-6005	369	5	math	math	PROPN
ejpam-6005	369	6	,	,	PUNCT
ejpam-6005	369	7	18	18	NUM
ejpam-6005	369	8	(	(	PUNCT
ejpam-6005	369	9	2	2	NUM
ejpam-6005	369	10	)	)	PUNCT
ejpam-6005	369	11	(	(	PUNCT
ejpam-6005	369	12	2025	2025	NUM
ejpam-6005	369	13	)	)	PUNCT
ejpam-6005	369	14	,	,	PUNCT
ejpam-6005	369	15	6005	6005	NUM
ejpam-6005	369	16	24	24	NUM
ejpam-6005	369	17	of	of	ADP
ejpam-6005	369	18	27	27	NUM
ejpam-6005	369	19	time	time	NOUN
ejpam-6005	369	20	(	(	PUNCT
ejpam-6005	369	21	days	day	NOUN
ejpam-6005	369	22	)	)	PUNCT
ejpam-6005	369	23	0	0	NUM
ejpam-6005	369	24	5	5	NUM
ejpam-6005	369	25	10	10	NUM
ejpam-6005	369	26	15	15	NUM
ejpam-6005	369	27	20	20	NUM
ejpam-6005	369	28	25	25	NUM
ejpam-6005	369	29	30	30	NUM
ejpam-6005	369	30	35	35	NUM
ejpam-6005	369	31	40	40	NUM
ejpam-6005	370	1	c	c	NOUN
ejpam-6005	370	2	o	o	NOUN
ejpam-6005	370	3	-i	-i	PUNCT
ejpam-6005	371	1	n	n	NUM
ejpam-6005	371	2	fe	fe	X
ejpam-6005	371	3	c	c	X
ejpam-6005	371	4	te	te	PROPN
ejpam-6005	372	1	d	d	X
ejpam-6005	372	2	0.015	0.015	NUM
ejpam-6005	372	3	0.02	0.02	NUM
ejpam-6005	372	4	0.025	0.025	NUM
ejpam-6005	372	5	0.03	0.03	NUM
ejpam-6005	372	6	0.035	0.035	NUM
ejpam-6005	372	7	0.04	0.04	NUM
ejpam-6005	372	8	co	co	ADJ
ejpam-6005	372	9	-	-	ADJ
ejpam-6005	372	10	infected	infected	ADJ
ejpam-6005	372	11	stochastic	stochastic	ADJ
ejpam-6005	372	12	deterministic	deterministic	ADJ
ejpam-6005	372	13	real	real	ADJ
ejpam-6005	372	14	data	datum	NOUN
ejpam-6005	372	15	figure	figure	NOUN
ejpam-6005	372	16	21	21	NUM
ejpam-6005	372	17	:	:	PUNCT
ejpam-6005	372	18	comparison	comparison	NOUN
ejpam-6005	372	19	of	of	ADP
ejpam-6005	372	20	co	co	ADJ
ejpam-6005	372	21	-	-	NOUN
ejpam-6005	372	22	infection	infection	NOUN
ejpam-6005	372	23	compartment	compartment	NOUN
ejpam-6005	372	24	.	.	PUNCT
ejpam-6005	373	1	time	time	NOUN
ejpam-6005	373	2	(	(	PUNCT
ejpam-6005	373	3	days	day	NOUN
ejpam-6005	373	4	)	)	PUNCT
ejpam-6005	373	5	0	0	NUM
ejpam-6005	373	6	5	5	NUM
ejpam-6005	373	7	10	10	NUM
ejpam-6005	373	8	15	15	NUM
ejpam-6005	373	9	20	20	NUM
ejpam-6005	373	10	25	25	NUM
ejpam-6005	373	11	30	30	NUM
ejpam-6005	373	12	35	35	NUM
ejpam-6005	373	13	40	40	NUM
ejpam-6005	373	14	v	v	NOUN
ejpam-6005	373	15	a	a	DET
ejpam-6005	373	16	c	c	NOUN
ejpam-6005	373	17	c	c	NOUN
ejpam-6005	373	18	in	in	ADP
ejpam-6005	373	19	a	a	DET
ejpam-6005	373	20	te	te	PROPN
ejpam-6005	373	21	d	d	PROPN
ejpam-6005	373	22	×10	×10	PROPN
ejpam-6005	373	23	-	-	SYM
ejpam-6005	373	24	3	3	NUM
ejpam-6005	373	25	2	2	NUM
ejpam-6005	373	26	4	4	NUM
ejpam-6005	373	27	6	6	NUM
ejpam-6005	373	28	8	8	NUM
ejpam-6005	373	29	10	10	NUM
ejpam-6005	373	30	12	12	NUM
ejpam-6005	373	31	14	14	NUM
ejpam-6005	373	32	16	16	NUM
ejpam-6005	373	33	vaccinated	vaccinate	VERB
ejpam-6005	373	34	stochastic	stochastic	ADJ
ejpam-6005	373	35	deterministic	deterministic	ADJ
ejpam-6005	373	36	real	real	ADJ
ejpam-6005	373	37	data	datum	NOUN
ejpam-6005	373	38	figure	figure	NOUN
ejpam-6005	373	39	22	22	NUM
ejpam-6005	373	40	:	:	PUNCT
ejpam-6005	373	41	comparison	comparison	NOUN
ejpam-6005	373	42	of	of	ADP
ejpam-6005	373	43	vaccination	vaccination	NOUN
ejpam-6005	373	44	compartment	compartment	NOUN
ejpam-6005	373	45	.	.	PUNCT
ejpam-6005	374	1	•	•	NUM
ejpam-6005	374	2	acknowledgements	acknowledgement	NOUN
ejpam-6005	374	3	the	the	DET
ejpam-6005	374	4	authors	author	NOUN
ejpam-6005	374	5	would	would	AUX
ejpam-6005	374	6	like	like	VERB
ejpam-6005	374	7	to	to	PART
ejpam-6005	374	8	acknowledge	acknowledge	VERB
ejpam-6005	374	9	the	the	DET
ejpam-6005	374	10	support	support	NOUN
ejpam-6005	374	11	of	of	ADP
ejpam-6005	374	12	prince	prince	PROPN
ejpam-6005	374	13	sultan	sultan	PROPN
ejpam-6005	374	14	university	university	PROPN
ejpam-6005	374	15	for	for	ADP
ejpam-6005	374	16	paying	pay	VERB
ejpam-6005	374	17	the	the	DET
ejpam-6005	374	18	article	article	NOUN
ejpam-6005	374	19	processing	processing	NOUN
ejpam-6005	374	20	charges	charge	NOUN
ejpam-6005	374	21	(	(	PUNCT
ejpam-6005	374	22	apc	apc	PROPN
ejpam-6005	374	23	)	)	PUNCT
ejpam-6005	374	24	of	of	ADP
ejpam-6005	374	25	this	this	DET
ejpam-6005	374	26	publication	publication	NOUN
ejpam-6005	374	27	.	.	PUNCT
ejpam-6005	375	1	r.	r.	PROPN
ejpam-6005	375	2	ud	ud	PROPN
ejpam-6005	375	3	din	din	PROPN
ejpam-6005	375	4	,	,	PUNCT
ejpam-6005	375	5	m.	m.	PROPN
ejpam-6005	375	6	s.	s.	PROPN
ejpam-6005	375	7	arif	arif	PROPN
ejpam-6005	375	8	/	/	SYM
ejpam-6005	375	9	eur	eur	PROPN
ejpam-6005	375	10	.	.	PUNCT
ejpam-6005	376	1	j.	j.	PROPN
ejpam-6005	376	2	pure	pure	PROPN
ejpam-6005	376	3	appl	appl	PROPN
ejpam-6005	376	4	.	.	PROPN
ejpam-6005	376	5	math	math	PROPN
ejpam-6005	376	6	,	,	PUNCT
ejpam-6005	376	7	18	18	NUM
ejpam-6005	376	8	(	(	PUNCT
ejpam-6005	376	9	2	2	NUM
ejpam-6005	376	10	)	)	PUNCT
ejpam-6005	376	11	(	(	PUNCT
ejpam-6005	376	12	2025	2025	NUM
ejpam-6005	376	13	)	)	PUNCT
ejpam-6005	376	14	,	,	PUNCT
ejpam-6005	376	15	6005	6005	NUM
ejpam-6005	376	16	25	25	NUM
ejpam-6005	376	17	of	of	ADP
ejpam-6005	376	18	27	27	NUM
ejpam-6005	376	19	time	time	NOUN
ejpam-6005	376	20	(	(	PUNCT
ejpam-6005	376	21	days	day	NOUN
ejpam-6005	376	22	)	)	PUNCT
ejpam-6005	376	23	0	0	NUM
ejpam-6005	376	24	5	5	NUM
ejpam-6005	376	25	10	10	NUM
ejpam-6005	376	26	15	15	NUM
ejpam-6005	376	27	20	20	NUM
ejpam-6005	376	28	25	25	NUM
ejpam-6005	376	29	30	30	NUM
ejpam-6005	376	30	35	35	NUM
ejpam-6005	376	31	40	40	NUM
ejpam-6005	376	32	r	r	NOUN
ejpam-6005	376	33	e	e	NOUN
ejpam-6005	376	34	c	c	NOUN
ejpam-6005	376	35	o	o	X
ejpam-6005	376	36	v	v	X
ejpam-6005	376	37	e	e	X
ejpam-6005	376	38	re	re	NOUN
ejpam-6005	376	39	d	d	PROPN
ejpam-6005	376	40	0.26	0.26	NUM
ejpam-6005	376	41	0.28	0.28	NUM
ejpam-6005	376	42	0.3	0.3	NUM
ejpam-6005	376	43	0.32	0.32	NUM
ejpam-6005	376	44	0.34	0.34	NUM
ejpam-6005	376	45	0.36	0.36	NUM
ejpam-6005	376	46	0.38	0.38	NUM
ejpam-6005	376	47	recovered	recover	VERB
ejpam-6005	376	48	stochastic	stochastic	ADJ
ejpam-6005	376	49	deterministic	deterministic	ADJ
ejpam-6005	376	50	real	real	ADJ
ejpam-6005	376	51	data	datum	NOUN
ejpam-6005	376	52	figure	figure	NOUN
ejpam-6005	376	53	23	23	NUM
ejpam-6005	376	54	:	:	PUNCT
ejpam-6005	376	55	comparison	comparison	NOUN
ejpam-6005	376	56	of	of	ADP
ejpam-6005	376	57	recovered	recovered	ADJ
ejpam-6005	376	58	compartment	compartment	NOUN
ejpam-6005	376	59	.	.	PUNCT
ejpam-6005	377	1	references	reference	NOUN
ejpam-6005	377	2	[	[	X
ejpam-6005	377	3	1	1	NUM
ejpam-6005	377	4	]	]	PUNCT
ejpam-6005	377	5	world	world	NOUN
ejpam-6005	377	6	health	health	NOUN
ejpam-6005	377	7	organization	organization	PROPN
ejpam-6005	377	8	.	.	PUNCT
ejpam-6005	378	1	who	who	PRON
ejpam-6005	378	2	timeline	timeline	VERB
ejpam-6005	378	3	–	–	PUNCT
ejpam-6005	378	4	covid-19	covid-19	PROPN
ejpam-6005	378	5	,	,	PUNCT
ejpam-6005	378	6	2021	2021	NUM
ejpam-6005	378	7	.	.	PUNCT
ejpam-6005	379	1	[	[	X
ejpam-6005	379	2	2	2	NUM
ejpam-6005	379	3	]	]	PUNCT
ejpam-6005	379	4	world	world	NOUN
ejpam-6005	379	5	health	health	NOUN
ejpam-6005	379	6	organization	organization	NOUN
ejpam-6005	379	7	(	(	PUNCT
ejpam-6005	379	8	who	who	PRON
ejpam-6005	379	9	)	)	PUNCT
ejpam-6005	379	10	.	.	PUNCT
ejpam-6005	380	1	whowww.who.int/emergencies/diseases/novelcoronavirus-2019/interactivetimeline/category-information	whowww.who.int/emergencies/diseases/novelcoronavirus-2019/interactivetimeline/category-information	NOUN
ejpam-6005	380	2	,	,	PUNCT
ejpam-6005	380	3	2022	2022	NUM
ejpam-6005	380	4	.	.	PUNCT
ejpam-6005	381	1	[	[	X
ejpam-6005	381	2	3	3	X
ejpam-6005	381	3	]	]	PUNCT
ejpam-6005	381	4	world	world	PROPN
ejpam-6005	381	5	health	health	NOUN
ejpam-6005	381	6	organization	organization	NOUN
ejpam-6005	381	7	(	(	PUNCT
ejpam-6005	381	8	who	who	PRON
ejpam-6005	381	9	)	)	PUNCT
ejpam-6005	381	10	.	.	PUNCT
ejpam-6005	381	11	whowww.worldometers.info/coronavirus/nov2022	whowww.worldometers.info/coronavirus/nov2022	NOUN
ejpam-6005	381	12	,	,	PUNCT
ejpam-6005	381	13	2022	2022	NUM
ejpam-6005	381	14	.	.	PUNCT
ejpam-6005	382	1	[	[	X
ejpam-6005	382	2	4	4	X
ejpam-6005	382	3	]	]	PUNCT
ejpam-6005	382	4	world	world	NOUN
ejpam-6005	382	5	health	health	NOUN
ejpam-6005	382	6	organization	organization	NOUN
ejpam-6005	382	7	(	(	PUNCT
ejpam-6005	382	8	who	who	PRON
ejpam-6005	382	9	)	)	PUNCT
ejpam-6005	382	10	.	.	PUNCT
ejpam-6005	382	11	whowww.who.int/emergencies/diseases/novelcoronavirus-2019	whowww.who.int/emergencies/diseases/novelcoronavirus-2019	PROPN
ejpam-6005	382	12	,	,	PUNCT
ejpam-6005	382	13	2022	2022	NUM
ejpam-6005	382	14	.	.	PUNCT
ejpam-6005	383	1	[	[	X
ejpam-6005	383	2	5	5	X
ejpam-6005	383	3	]	]	PUNCT
ejpam-6005	383	4	rohit	rohit	PROPN
ejpam-6005	383	5	c	c	PROPN
ejpam-6005	383	6	khanna	khanna	PROPN
ejpam-6005	383	7	,	,	PUNCT
ejpam-6005	383	8	maria	maria	PROPN
ejpam-6005	383	9	vittoria	vittoria	PROPN
ejpam-6005	383	10	cicinelli	cicinelli	PROPN
ejpam-6005	383	11	,	,	PUNCT
ejpam-6005	383	12	suzanne	suzanne	PROPN
ejpam-6005	383	13	s	s	PROPN
ejpam-6005	383	14	gilbert	gilbert	PROPN
ejpam-6005	383	15	,	,	PUNCT
ejpam-6005	383	16	santosh	santosh	PROPN
ejpam-6005	383	17	g	g	PROPN
ejpam-6005	383	18	honavar	honavar	NOUN
ejpam-6005	383	19	,	,	PUNCT
ejpam-6005	383	20	and	and	CCONJ
ejpam-6005	383	21	gudlavalleti	gudlavalleti	NOUN
ejpam-6005	383	22	vs	vs	ADP
ejpam-6005	383	23	murthy	murthy	PROPN
ejpam-6005	383	24	.	.	PUNCT
ejpam-6005	384	1	covid-19	covid-19	PROPN
ejpam-6005	384	2	pandemic	pandemic	ADJ
ejpam-6005	384	3	:	:	PUNCT
ejpam-6005	384	4	lessons	lesson	NOUN
ejpam-6005	384	5	learned	learn	VERB
ejpam-6005	384	6	and	and	CCONJ
ejpam-6005	384	7	future	future	ADJ
ejpam-6005	384	8	directions	direction	NOUN
ejpam-6005	384	9	.	.	PUNCT
ejpam-6005	385	1	indian	indian	ADJ
ejpam-6005	385	2	journal	journal	PROPN
ejpam-6005	385	3	of	of	ADP
ejpam-6005	385	4	ophthalmology	ophthalmology	NOUN
ejpam-6005	385	5	,	,	PUNCT
ejpam-6005	385	6	68(5):703–710	68(5):703–710	NUM
ejpam-6005	385	7	,	,	PUNCT
ejpam-6005	385	8	2020	2020	NUM
ejpam-6005	385	9	.	.	PUNCT
ejpam-6005	386	1	[	[	X
ejpam-6005	386	2	6	6	NUM
ejpam-6005	386	3	]	]	PUNCT
ejpam-6005	386	4	sean	sean	PROPN
ejpam-6005	386	5	wei	wei	PROPN
ejpam-6005	386	6	xiang	xiang	PROPN
ejpam-6005	386	7	ong	ong	PROPN
ejpam-6005	386	8	,	,	PUNCT
ejpam-6005	386	9	yian	yian	PROPN
ejpam-6005	386	10	kim	kim	PROPN
ejpam-6005	386	11	tan	tan	PROPN
ejpam-6005	386	12	,	,	PUNCT
ejpam-6005	386	13	po	po	PROPN
ejpam-6005	386	14	ying	ying	PROPN
ejpam-6005	386	15	chia	chia	PROPN
ejpam-6005	386	16	,	,	PUNCT
ejpam-6005	386	17	tau	tau	PROPN
ejpam-6005	386	18	hong	hong	PROPN
ejpam-6005	386	19	lee	lee	PROPN
ejpam-6005	386	20	,	,	PUNCT
ejpam-6005	386	21	oon	oon	PROPN
ejpam-6005	386	22	tek	tek	PROPN
ejpam-6005	386	23	ng	ng	PROPN
ejpam-6005	386	24	,	,	PUNCT
ejpam-6005	386	25	michelle	michelle	PROPN
ejpam-6005	386	26	su	su	PROPN
ejpam-6005	386	27	yen	yen	PROPN
ejpam-6005	386	28	wong	wong	PROPN
ejpam-6005	386	29	,	,	PUNCT
ejpam-6005	386	30	and	and	CCONJ
ejpam-6005	386	31	kalisvar	kalisvar	PROPN
ejpam-6005	386	32	marimuthu	marimuthu	PROPN
ejpam-6005	386	33	.	.	PUNCT
ejpam-6005	387	1	air	air	PROPN
ejpam-6005	387	2	,	,	PUNCT
ejpam-6005	387	3	surface	surface	NOUN
ejpam-6005	387	4	environmental	environmental	NOUN
ejpam-6005	387	5	,	,	PUNCT
ejpam-6005	387	6	and	and	CCONJ
ejpam-6005	387	7	personal	personal	ADJ
ejpam-6005	387	8	protective	protective	ADJ
ejpam-6005	387	9	equipment	equipment	NOUN
ejpam-6005	387	10	contamination	contamination	NOUN
ejpam-6005	387	11	by	by	ADP
ejpam-6005	387	12	severe	severe	ADJ
ejpam-6005	387	13	acute	acute	ADJ
ejpam-6005	387	14	respiratory	respiratory	ADJ
ejpam-6005	387	15	syndrome	syndrome	NOUN
ejpam-6005	387	16	coronavirus	coronavirus	NOUN
ejpam-6005	387	17	2	2	NUM
ejpam-6005	387	18	(	(	PUNCT
ejpam-6005	387	19	sars	sar	NOUN
ejpam-6005	387	20	-	-	PUNCT
ejpam-6005	387	21	cov-2	cov-2	NOUN
ejpam-6005	387	22	)	)	PUNCT
ejpam-6005	387	23	from	from	ADP
ejpam-6005	387	24	a	a	DET
ejpam-6005	387	25	symptomatic	symptomatic	ADJ
ejpam-6005	387	26	patient	patient	NOUN
ejpam-6005	387	27	.	.	PUNCT
ejpam-6005	388	1	jama	jama	PROPN
ejpam-6005	388	2	,	,	PUNCT
ejpam-6005	388	3	323(16):1610–1612	323(16):1610–1612	NUM
ejpam-6005	388	4	,	,	PUNCT
ejpam-6005	388	5	2020	2020	NUM
ejpam-6005	388	6	.	.	PUNCT
ejpam-6005	389	1	[	[	X
ejpam-6005	389	2	7	7	X
ejpam-6005	389	3	]	]	X
ejpam-6005	389	4	rutu	rutu	PROPN
ejpam-6005	389	5	karia	karia	PROPN
ejpam-6005	389	6	,	,	PUNCT
ejpam-6005	389	7	ishita	ishita	PROPN
ejpam-6005	389	8	gupta	gupta	PROPN
ejpam-6005	389	9	,	,	PUNCT
ejpam-6005	389	10	harshwardhan	harshwardhan	PROPN
ejpam-6005	389	11	khandait	khandait	PROPN
ejpam-6005	389	12	,	,	PUNCT
ejpam-6005	389	13	ashima	ashima	PROPN
ejpam-6005	389	14	yadav	yadav	PROPN
ejpam-6005	389	15	,	,	PUNCT
ejpam-6005	389	16	and	and	CCONJ
ejpam-6005	389	17	anmol	anmol	PROPN
ejpam-6005	389	18	yadav	yadav	NOUN
ejpam-6005	389	19	.	.	PUNCT
ejpam-6005	390	1	covid-19	covid-19	PROPN
ejpam-6005	390	2	and	and	CCONJ
ejpam-6005	390	3	its	its	PRON
ejpam-6005	390	4	modes	mode	NOUN
ejpam-6005	390	5	of	of	ADP
ejpam-6005	390	6	transmission	transmission	NOUN
ejpam-6005	390	7	.	.	PUNCT
ejpam-6005	391	1	sn	sn	PROPN
ejpam-6005	391	2	comprehensive	comprehensive	ADJ
ejpam-6005	391	3	clinical	clinical	ADJ
ejpam-6005	391	4	medicine	medicine	NOUN
ejpam-6005	391	5	,	,	PUNCT
ejpam-6005	391	6	2(10):1798–1801	2(10):1798–1801	NUM
ejpam-6005	391	7	,	,	PUNCT
ejpam-6005	391	8	2020	2020	NUM
ejpam-6005	391	9	.	.	PUNCT
ejpam-6005	392	1	[	[	X
ejpam-6005	392	2	8	8	NUM
ejpam-6005	392	3	]	]	PUNCT
ejpam-6005	392	4	michael	michael	PROPN
ejpam-6005	392	5	o	o	PROPN
ejpam-6005	392	6	adeniyi	adeniyi	ADV
ejpam-6005	392	7	,	,	PUNCT
ejpam-6005	392	8	segun	segun	VERB
ejpam-6005	392	9	i	i	PRON
ejpam-6005	392	10	oke	oke	VERB
ejpam-6005	392	11	,	,	PUNCT
ejpam-6005	392	12	matthew	matthew	PROPN
ejpam-6005	392	13	i	i	PRON
ejpam-6005	392	14	ekum	ekum	VERB
ejpam-6005	392	15	,	,	PUNCT
ejpam-6005	392	16	temitope	temitope	PROPN
ejpam-6005	392	17	benson	benson	PROPN
ejpam-6005	392	18	,	,	PUNCT
ejpam-6005	392	19	and	and	CCONJ
ejpam-6005	392	20	matthew	matthew	PROPN
ejpam-6005	392	21	o	o	PROPN
ejpam-6005	392	22	adewole	adewole	NOUN
ejpam-6005	392	23	.	.	PUNCT
ejpam-6005	393	1	assessing	assess	VERB
ejpam-6005	393	2	the	the	DET
ejpam-6005	393	3	impact	impact	NOUN
ejpam-6005	393	4	of	of	ADP
ejpam-6005	393	5	public	public	ADJ
ejpam-6005	393	6	compliance	compliance	NOUN
ejpam-6005	393	7	on	on	ADP
ejpam-6005	393	8	the	the	DET
ejpam-6005	393	9	use	use	NOUN
ejpam-6005	393	10	of	of	ADP
ejpam-6005	393	11	non	non	ADJ
ejpam-6005	393	12	-	-	ADJ
ejpam-6005	393	13	pharmaceutical	pharmaceutical	ADJ
ejpam-6005	393	14	intervention	intervention	NOUN
ejpam-6005	393	15	with	with	ADP
ejpam-6005	393	16	cost	cost	NOUN
ejpam-6005	393	17	-	-	PUNCT
ejpam-6005	393	18	effectiveness	effectiveness	NOUN
ejpam-6005	393	19	analysis	analysis	NOUN
ejpam-6005	393	20	on	on	ADP
ejpam-6005	393	21	the	the	DET
ejpam-6005	393	22	transmission	transmission	NOUN
ejpam-6005	393	23	dynamics	dynamic	NOUN
ejpam-6005	393	24	of	of	ADP
ejpam-6005	393	25	covid19	covid19	NOUN
ejpam-6005	393	26	:	:	PUNCT
ejpam-6005	393	27	insight	insight	NOUN
ejpam-6005	393	28	from	from	ADP
ejpam-6005	393	29	mathematical	mathematical	ADJ
ejpam-6005	393	30	modeling	modeling	NOUN
ejpam-6005	393	31	.	.	PUNCT
ejpam-6005	394	1	modeling	modeling	NOUN
ejpam-6005	394	2	,	,	PUNCT
ejpam-6005	394	3	control	control	NOUN
ejpam-6005	394	4	and	and	CCONJ
ejpam-6005	394	5	drug	drug	NOUN
ejpam-6005	394	6	development	development	NOUN
ejpam-6005	394	7	for	for	ADP
ejpam-6005	394	8	covid-19	covid-19	PROPN
ejpam-6005	394	9	outbreak	outbreak	PROPN
ejpam-6005	394	10	prevention	prevention	NOUN
ejpam-6005	394	11	,	,	PUNCT
ejpam-6005	394	12	pages	page	NOUN
ejpam-6005	394	13	579–618	579–618	NUM
ejpam-6005	394	14	,	,	PUNCT
ejpam-6005	394	15	2022	2022	NUM
ejpam-6005	394	16	.	.	PUNCT
ejpam-6005	395	1	[	[	X
ejpam-6005	395	2	9	9	NUM
ejpam-6005	395	3	]	]	PUNCT
ejpam-6005	395	4	saif	saif	PROPN
ejpam-6005	395	5	ullah	ullah	PROPN
ejpam-6005	395	6	and	and	CCONJ
ejpam-6005	395	7	muhammad	muhammad	PROPN
ejpam-6005	395	8	altaf	altaf	PROPN
ejpam-6005	395	9	khan	khan	PROPN
ejpam-6005	395	10	.	.	PUNCT
ejpam-6005	396	1	modeling	model	VERB
ejpam-6005	396	2	the	the	DET
ejpam-6005	396	3	impact	impact	NOUN
ejpam-6005	396	4	of	of	ADP
ejpam-6005	396	5	non	non	ADJ
ejpam-6005	396	6	-	-	ADJ
ejpam-6005	396	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6005	396	8	interventions	intervention	NOUN
ejpam-6005	396	9	on	on	ADP
ejpam-6005	396	10	the	the	DET
ejpam-6005	396	11	dynamics	dynamic	NOUN
ejpam-6005	396	12	of	of	ADP
ejpam-6005	396	13	novel	novel	ADJ
ejpam-6005	396	14	coronavirus	coronavirus	NOUN
ejpam-6005	396	15	with	with	ADP
ejpam-6005	396	16	optimal	optimal	ADJ
ejpam-6005	396	17	control	control	NOUN
ejpam-6005	396	18	analysis	analysis	NOUN
ejpam-6005	396	19	with	with	ADP
ejpam-6005	396	20	r.	r.	PROPN
ejpam-6005	396	21	ud	ud	PROPN
ejpam-6005	396	22	din	din	PROPN
ejpam-6005	396	23	,	,	PUNCT
ejpam-6005	396	24	m.	m.	PROPN
ejpam-6005	396	25	s.	s.	PROPN
ejpam-6005	396	26	arif	arif	PROPN
ejpam-6005	396	27	/	/	SYM
ejpam-6005	396	28	eur	eur	PROPN
ejpam-6005	396	29	.	.	PUNCT
ejpam-6005	397	1	j.	j.	PROPN
ejpam-6005	397	2	pure	pure	PROPN
ejpam-6005	397	3	appl	appl	PROPN
ejpam-6005	397	4	.	.	PROPN
ejpam-6005	397	5	math	math	PROPN
ejpam-6005	397	6	,	,	PUNCT
ejpam-6005	397	7	18	18	NUM
ejpam-6005	397	8	(	(	PUNCT
ejpam-6005	397	9	2	2	NUM
ejpam-6005	397	10	)	)	PUNCT
ejpam-6005	397	11	(	(	PUNCT
ejpam-6005	397	12	2025	2025	NUM
ejpam-6005	397	13	)	)	PUNCT
ejpam-6005	397	14	,	,	PUNCT
ejpam-6005	397	15	6005	6005	NUM
ejpam-6005	397	16	26	26	NUM
ejpam-6005	397	17	of	of	ADP
ejpam-6005	397	18	27	27	NUM
ejpam-6005	397	19	a	a	DET
ejpam-6005	397	20	case	case	NOUN
ejpam-6005	397	21	study	study	NOUN
ejpam-6005	397	22	.	.	PUNCT
ejpam-6005	398	1	chaos	chaos	NOUN
ejpam-6005	398	2	,	,	PUNCT
ejpam-6005	398	3	solitons	soliton	NOUN
ejpam-6005	398	4	&	&	CCONJ
ejpam-6005	398	5	fractals	fractal	NOUN
ejpam-6005	398	6	,	,	PUNCT
ejpam-6005	398	7	139:110075	139:110075	NUM
ejpam-6005	398	8	,	,	PUNCT
ejpam-6005	398	9	2020	2020	NUM
ejpam-6005	398	10	.	.	PUNCT
ejpam-6005	399	1	[	[	X
ejpam-6005	399	2	10	10	NUM
ejpam-6005	399	3	]	]	PUNCT
ejpam-6005	399	4	legesse	legesse	NOUN
ejpam-6005	399	5	lemecha	lemecha	ADV
ejpam-6005	399	6	obsu	obsu	ADV
ejpam-6005	399	7	and	and	CCONJ
ejpam-6005	399	8	shiferaw	shiferaw	ADJ
ejpam-6005	399	9	feyissa	feyissa	PROPN
ejpam-6005	399	10	balcha	balcha	PROPN
ejpam-6005	399	11	.	.	PUNCT
ejpam-6005	400	1	optimal	optimal	ADJ
ejpam-6005	400	2	control	control	NOUN
ejpam-6005	400	3	strategies	strategy	NOUN
ejpam-6005	400	4	for	for	ADP
ejpam-6005	400	5	the	the	DET
ejpam-6005	400	6	transmission	transmission	NOUN
ejpam-6005	400	7	risk	risk	NOUN
ejpam-6005	400	8	of	of	ADP
ejpam-6005	400	9	covid-19	covid-19	PROPN
ejpam-6005	400	10	.	.	PROPN
ejpam-6005	400	11	journal	journal	PROPN
ejpam-6005	400	12	of	of	ADP
ejpam-6005	400	13	biological	biological	ADJ
ejpam-6005	400	14	dynamics	dynamic	NOUN
ejpam-6005	400	15	,	,	PUNCT
ejpam-6005	400	16	14(1):590–607	14(1):590–607	PROPN
ejpam-6005	400	17	,	,	PUNCT
ejpam-6005	400	18	2020	2020	NUM
ejpam-6005	400	19	.	.	PUNCT
ejpam-6005	401	1	[	[	X
ejpam-6005	401	2	11	11	NUM
ejpam-6005	401	3	]	]	X
ejpam-6005	401	4	zhong	zhong	PROPN
ejpam-6005	401	5	-	-	PUNCT
ejpam-6005	401	6	hua	hua	PROPN
ejpam-6005	401	7	shen	shen	PROPN
ejpam-6005	401	8	,	,	PUNCT
ejpam-6005	401	9	yu	yu	PROPN
ejpam-6005	401	10	-	-	PROPN
ejpam-6005	401	11	ming	ming	PROPN
ejpam-6005	401	12	chu	chu	PROPN
ejpam-6005	401	13	,	,	PUNCT
ejpam-6005	401	14	muhammad	muhammad	PROPN
ejpam-6005	401	15	altaf	altaf	PROPN
ejpam-6005	401	16	khan	khan	PROPN
ejpam-6005	401	17	,	,	PUNCT
ejpam-6005	401	18	shabbir	shabbir	PROPN
ejpam-6005	401	19	muhammad	muhammad	PROPN
ejpam-6005	401	20	,	,	PUNCT
ejpam-6005	401	21	omar	omar	PROPN
ejpam-6005	401	22	a	a	PROPN
ejpam-6005	401	23	al	al	PROPN
ejpam-6005	401	24	-	-	PUNCT
ejpam-6005	401	25	hartomy	hartomy	NOUN
ejpam-6005	401	26	,	,	PUNCT
ejpam-6005	401	27	and	and	CCONJ
ejpam-6005	401	28	m	m	PROPN
ejpam-6005	401	29	higazy	higazy	NOUN
ejpam-6005	401	30	.	.	PUNCT
ejpam-6005	402	1	mathematical	mathematical	ADJ
ejpam-6005	402	2	modeling	modeling	NOUN
ejpam-6005	402	3	and	and	CCONJ
ejpam-6005	402	4	optimal	optimal	ADJ
ejpam-6005	402	5	control	control	NOUN
ejpam-6005	402	6	of	of	ADP
ejpam-6005	402	7	the	the	DET
ejpam-6005	402	8	covid-19	covid-19	PROPN
ejpam-6005	402	9	dynamics	dynamic	NOUN
ejpam-6005	402	10	.	.	PUNCT
ejpam-6005	403	1	results	result	NOUN
ejpam-6005	403	2	in	in	ADP
ejpam-6005	403	3	physics	physics	NOUN
ejpam-6005	403	4	,	,	PUNCT
ejpam-6005	403	5	31:105028	31:105028	NUM
ejpam-6005	403	6	,	,	PUNCT
ejpam-6005	403	7	2021	2021	NUM
ejpam-6005	403	8	.	.	PUNCT
ejpam-6005	404	1	[	[	X
ejpam-6005	404	2	12	12	NUM
ejpam-6005	404	3	]	]	PUNCT
ejpam-6005	404	4	jiahui	jiahui	PROPN
ejpam-6005	404	5	chen	chen	PROPN
ejpam-6005	404	6	,	,	PUNCT
ejpam-6005	404	7	rui	rui	PROPN
ejpam-6005	404	8	wang	wang	PROPN
ejpam-6005	404	9	,	,	PUNCT
ejpam-6005	404	10	nancy	nancy	PROPN
ejpam-6005	404	11	benovich	benovich	PROPN
ejpam-6005	404	12	gilby	gilby	PROPN
ejpam-6005	404	13	,	,	PUNCT
ejpam-6005	404	14	and	and	CCONJ
ejpam-6005	404	15	guo	guo	PROPN
ejpam-6005	404	16	-	-	PUNCT
ejpam-6005	404	17	wei	wei	PROPN
ejpam-6005	404	18	wei	wei	PROPN
ejpam-6005	404	19	.	.	PUNCT
ejpam-6005	405	1	omicron	omicron	PROPN
ejpam-6005	405	2	variant	variant	NOUN
ejpam-6005	405	3	(	(	PUNCT
ejpam-6005	405	4	b.	b.	PROPN
ejpam-6005	405	5	1.1	1.1	NUM
ejpam-6005	405	6	.	.	PUNCT
ejpam-6005	406	1	529	529	NUM
ejpam-6005	406	2	):	):	PUNCT
ejpam-6005	406	3	infectivity	infectivity	NOUN
ejpam-6005	406	4	,	,	PUNCT
ejpam-6005	406	5	vaccine	vaccine	NOUN
ejpam-6005	406	6	breakthrough	breakthrough	NOUN
ejpam-6005	406	7	,	,	PUNCT
ejpam-6005	406	8	and	and	CCONJ
ejpam-6005	406	9	antibody	antibody	NOUN
ejpam-6005	406	10	resistance	resistance	NOUN
ejpam-6005	406	11	.	.	PUNCT
ejpam-6005	407	1	journal	journal	PROPN
ejpam-6005	407	2	of	of	ADP
ejpam-6005	407	3	chemical	chemical	ADJ
ejpam-6005	407	4	information	information	NOUN
ejpam-6005	407	5	and	and	CCONJ
ejpam-6005	407	6	modeling	modeling	NOUN
ejpam-6005	407	7	,	,	PUNCT
ejpam-6005	407	8	62(2):412–422	62(2):412–422	NOUN
ejpam-6005	407	9	,	,	PUNCT
ejpam-6005	407	10	2022	2022	NUM
ejpam-6005	407	11	.	.	PUNCT
ejpam-6005	408	1	[	[	X
ejpam-6005	408	2	13	13	NUM
ejpam-6005	408	3	]	]	X
ejpam-6005	408	4	petra	petra	PROPN
ejpam-6005	408	5	mlcochova	mlcochova	PROPN
ejpam-6005	408	6	,	,	PUNCT
ejpam-6005	408	7	steven	steven	PROPN
ejpam-6005	408	8	a	a	DET
ejpam-6005	408	9	kemp	kemp	PROPN
ejpam-6005	408	10	,	,	PUNCT
ejpam-6005	408	11	mahesh	mahesh	PROPN
ejpam-6005	408	12	shanker	shanker	PROPN
ejpam-6005	408	13	dhar	dhar	PROPN
ejpam-6005	408	14	,	,	PUNCT
ejpam-6005	408	15	guido	guido	NOUN
ejpam-6005	408	16	papa	papa	NOUN
ejpam-6005	408	17	,	,	PUNCT
ejpam-6005	408	18	bo	bo	PROPN
ejpam-6005	408	19	meng	meng	PROPN
ejpam-6005	408	20	,	,	PUNCT
ejpam-6005	408	21	isabella	isabella	PROPN
ejpam-6005	408	22	atm	atm	PROPN
ejpam-6005	408	23	ferreira	ferreira	PROPN
ejpam-6005	408	24	,	,	PUNCT
ejpam-6005	408	25	rawlings	rawlings	PROPN
ejpam-6005	408	26	datir	datir	PROPN
ejpam-6005	408	27	,	,	PUNCT
ejpam-6005	408	28	dami	dami	VERB
ejpam-6005	408	29	a	a	DET
ejpam-6005	408	30	collier	collier	NOUN
ejpam-6005	408	31	,	,	PUNCT
ejpam-6005	408	32	anna	anna	PROPN
ejpam-6005	408	33	albecka	albecka	PROPN
ejpam-6005	408	34	,	,	PUNCT
ejpam-6005	408	35	sujeet	sujeet	PROPN
ejpam-6005	408	36	singh	singh	PROPN
ejpam-6005	408	37	,	,	PUNCT
ejpam-6005	408	38	et	et	PROPN
ejpam-6005	408	39	al	al	PROPN
ejpam-6005	408	40	.	.	PUNCT
ejpam-6005	408	41	sars	sars	PROPN
ejpam-6005	408	42	-	-	PUNCT
ejpam-6005	408	43	cov-2	cov-2	NOUN
ejpam-6005	408	44	b.	b.	NOUN
ejpam-6005	408	45	1.617	1.617	NUM
ejpam-6005	408	46	.	.	PUNCT
ejpam-6005	408	47	2	2	NUM
ejpam-6005	408	48	delta	delta	NOUN
ejpam-6005	408	49	variant	variant	NOUN
ejpam-6005	408	50	replication	replication	NOUN
ejpam-6005	408	51	and	and	CCONJ
ejpam-6005	408	52	immune	immune	ADJ
ejpam-6005	408	53	evasion	evasion	NOUN
ejpam-6005	408	54	.	.	PUNCT
ejpam-6005	409	1	nature	nature	NOUN
ejpam-6005	409	2	,	,	PUNCT
ejpam-6005	409	3	599(7883):114–119	599(7883):114–119	NUM
ejpam-6005	409	4	,	,	PUNCT
ejpam-6005	409	5	2021	2021	NUM
ejpam-6005	409	6	.	.	PUNCT
ejpam-6005	410	1	[	[	X
ejpam-6005	410	2	14	14	NUM
ejpam-6005	410	3	]	]	X
ejpam-6005	410	4	mohamed	mohamed	PROPN
ejpam-6005	410	5	derouich	derouich	PROPN
ejpam-6005	410	6	and	and	CCONJ
ejpam-6005	410	7	abdesslam	abdesslam	PROPN
ejpam-6005	410	8	boutayeb	boutayeb	PROPN
ejpam-6005	410	9	.	.	PUNCT
ejpam-6005	411	1	an	an	DET
ejpam-6005	411	2	avian	avian	ADJ
ejpam-6005	411	3	influenza	influenza	NOUN
ejpam-6005	411	4	mathematical	mathematical	ADJ
ejpam-6005	411	5	model	model	NOUN
ejpam-6005	411	6	.	.	PUNCT
ejpam-6005	412	1	applied	apply	VERB
ejpam-6005	412	2	mathematical	mathematical	ADJ
ejpam-6005	412	3	sciences	science	NOUN
ejpam-6005	412	4	,	,	PUNCT
ejpam-6005	412	5	2(36):1749–1760	2(36):1749–1760	NUM
ejpam-6005	412	6	,	,	PUNCT
ejpam-6005	412	7	2008	2008	NUM
ejpam-6005	412	8	.	.	PUNCT
ejpam-6005	413	1	[	[	X
ejpam-6005	413	2	15	15	NUM
ejpam-6005	413	3	]	]	X
ejpam-6005	413	4	world	world	NOUN
ejpam-6005	413	5	health	health	NOUN
ejpam-6005	413	6	organization	organization	NOUN
ejpam-6005	413	7	(	(	PUNCT
ejpam-6005	413	8	who	who	PRON
ejpam-6005	413	9	)	)	PUNCT
ejpam-6005	413	10	.	.	PUNCT
ejpam-6005	414	1	who	who	PRON
ejpam-6005	414	2	statistics	statistic	VERB
ejpam-6005	414	3	,	,	PUNCT
ejpam-6005	414	4	2022	2022	NUM
ejpam-6005	414	5	.	.	PUNCT
ejpam-6005	415	1	[	[	X
ejpam-6005	415	2	16	16	NUM
ejpam-6005	415	3	]	]	X
ejpam-6005	415	4	timo	timo	PROPN
ejpam-6005	415	5	smieszek	smieszek	PROPN
ejpam-6005	415	6	,	,	PUNCT
ejpam-6005	415	7	gianrocco	gianrocco	NOUN
ejpam-6005	415	8	lazzari	lazzari	NOUN
ejpam-6005	415	9	,	,	PUNCT
ejpam-6005	415	10	and	and	CCONJ
ejpam-6005	415	11	marcel	marcel	PROPN
ejpam-6005	415	12	salathé.	salathé.	PROPN
ejpam-6005	415	13	assessing	assess	VERB
ejpam-6005	415	14	the	the	DET
ejpam-6005	415	15	dynamics	dynamic	NOUN
ejpam-6005	415	16	and	and	CCONJ
ejpam-6005	415	17	control	control	NOUN
ejpam-6005	415	18	of	of	ADP
ejpam-6005	415	19	droplet	droplet	ADJ
ejpam-6005	415	20	-	-	PUNCT
ejpam-6005	415	21	and	and	CCONJ
ejpam-6005	415	22	aerosol	aerosol	NOUN
ejpam-6005	415	23	-	-	PUNCT
ejpam-6005	415	24	transmitted	transmit	VERB
ejpam-6005	415	25	influenza	influenza	NOUN
ejpam-6005	415	26	using	use	VERB
ejpam-6005	415	27	an	an	DET
ejpam-6005	415	28	indoor	indoor	ADJ
ejpam-6005	415	29	positioning	positioning	NOUN
ejpam-6005	415	30	system	system	NOUN
ejpam-6005	415	31	.	.	PUNCT
ejpam-6005	416	1	scientific	scientific	ADJ
ejpam-6005	416	2	reports	report	NOUN
ejpam-6005	416	3	,	,	PUNCT
ejpam-6005	416	4	9(1):2185	9(1):2185	NUM
ejpam-6005	416	5	,	,	PUNCT
ejpam-6005	416	6	2019	2019	NUM
ejpam-6005	416	7	.	.	PUNCT
ejpam-6005	417	1	[	[	X
ejpam-6005	417	2	17	17	NUM
ejpam-6005	417	3	]	]	X
ejpam-6005	417	4	mayowa	mayowa	PROPN
ejpam-6005	417	5	m	m	PROPN
ejpam-6005	417	6	ojo	ojo	NOUN
ejpam-6005	417	7	,	,	PUNCT
ejpam-6005	417	8	temitope	temitope	NOUN
ejpam-6005	417	9	o	o	PROPN
ejpam-6005	417	10	benson	benson	PROPN
ejpam-6005	417	11	,	,	PUNCT
ejpam-6005	417	12	olumuyiwa	olumuyiwa	PROPN
ejpam-6005	417	13	james	james	PROPN
ejpam-6005	417	14	peter	peter	PROPN
ejpam-6005	417	15	,	,	PUNCT
ejpam-6005	417	16	and	and	CCONJ
ejpam-6005	417	17	emile	emile	PROPN
ejpam-6005	417	18	franc	franc	PROPN
ejpam-6005	417	19	doungmo	doungmo	PROPN
ejpam-6005	417	20	goufo	goufo	PROPN
ejpam-6005	417	21	.	.	PUNCT
ejpam-6005	418	1	nonlinear	nonlinear	ADJ
ejpam-6005	418	2	optimal	optimal	ADJ
ejpam-6005	418	3	control	control	NOUN
ejpam-6005	418	4	strategies	strategy	NOUN
ejpam-6005	418	5	for	for	ADP
ejpam-6005	418	6	a	a	DET
ejpam-6005	418	7	mathematical	mathematical	ADJ
ejpam-6005	418	8	model	model	NOUN
ejpam-6005	418	9	of	of	ADP
ejpam-6005	418	10	covid-19	covid-19	PROPN
ejpam-6005	418	11	and	and	CCONJ
ejpam-6005	418	12	influenza	influenza	NOUN
ejpam-6005	418	13	co	co	NOUN
ejpam-6005	418	14	-	-	NOUN
ejpam-6005	418	15	infection	infection	NOUN
ejpam-6005	418	16	.	.	PUNCT
ejpam-6005	419	1	physica	physica	PROPN
ejpam-6005	419	2	a	a	DET
ejpam-6005	419	3	:	:	PUNCT
ejpam-6005	419	4	statistical	statistical	ADJ
ejpam-6005	419	5	mechanics	mechanic	NOUN
ejpam-6005	419	6	and	and	CCONJ
ejpam-6005	419	7	its	its	PRON
ejpam-6005	419	8	applications	application	NOUN
ejpam-6005	419	9	,	,	PUNCT
ejpam-6005	419	10	607:128173	607:128173	NUM
ejpam-6005	419	11	,	,	PUNCT
ejpam-6005	419	12	2022	2022	NUM
ejpam-6005	419	13	.	.	PUNCT
ejpam-6005	420	1	[	[	X
ejpam-6005	420	2	18	18	NUM
ejpam-6005	420	3	]	]	X
ejpam-6005	420	4	lei	lei	PROPN
ejpam-6005	420	5	bai	bai	PROPN
ejpam-6005	420	6	,	,	PUNCT
ejpam-6005	420	7	yongliang	yongliang	PROPN
ejpam-6005	420	8	zhao	zhao	PROPN
ejpam-6005	420	9	,	,	PUNCT
ejpam-6005	420	10	jiazhen	jiazhen	PROPN
ejpam-6005	420	11	dong	dong	PROPN
ejpam-6005	420	12	,	,	PUNCT
ejpam-6005	420	13	simeng	simeng	PROPN
ejpam-6005	420	14	liang	liang	PROPN
ejpam-6005	420	15	,	,	PUNCT
ejpam-6005	420	16	ming	ming	PROPN
ejpam-6005	420	17	guo	guo	PROPN
ejpam-6005	420	18	,	,	PUNCT
ejpam-6005	420	19	xinjin	xinjin	PROPN
ejpam-6005	420	20	liu	liu	PROPN
ejpam-6005	420	21	,	,	PUNCT
ejpam-6005	420	22	xin	xin	PROPN
ejpam-6005	420	23	wang	wang	PROPN
ejpam-6005	420	24	,	,	PUNCT
ejpam-6005	420	25	zhixiang	zhixiang	PROPN
ejpam-6005	420	26	huang	huang	PROPN
ejpam-6005	420	27	,	,	PUNCT
ejpam-6005	420	28	xiaoyi	xiaoyi	PROPN
ejpam-6005	420	29	sun	sun	PROPN
ejpam-6005	420	30	,	,	PUNCT
ejpam-6005	420	31	zhen	zhen	PROPN
ejpam-6005	420	32	zhang	zhang	PROPN
ejpam-6005	420	33	,	,	PUNCT
ejpam-6005	420	34	et	et	PROPN
ejpam-6005	420	35	al	al	PROPN
ejpam-6005	420	36	.	.	PUNCT
ejpam-6005	420	37	coinfection	coinfection	NOUN
ejpam-6005	420	38	with	with	ADP
ejpam-6005	420	39	influenza	influenza	NOUN
ejpam-6005	420	40	a	a	DET
ejpam-6005	420	41	virus	virus	NOUN
ejpam-6005	420	42	enhances	enhance	VERB
ejpam-6005	420	43	sars	sar	NOUN
ejpam-6005	420	44	-	-	PUNCT
ejpam-6005	420	45	cov-2	cov-2	NOUN
ejpam-6005	420	46	infectivity	infectivity	NOUN
ejpam-6005	420	47	.	.	PUNCT
ejpam-6005	421	1	cell	cell	NOUN
ejpam-6005	421	2	research	research	NOUN
ejpam-6005	421	3	,	,	PUNCT
ejpam-6005	421	4	31(4):395–403	31(4):395–403	PROPN
ejpam-6005	421	5	,	,	PUNCT
ejpam-6005	421	6	2021	2021	NUM
ejpam-6005	421	7	.	.	PUNCT
ejpam-6005	422	1	[	[	X
ejpam-6005	422	2	19	19	NUM
ejpam-6005	422	3	]	]	X
ejpam-6005	422	4	xuan	xuan	PROPN
ejpam-6005	422	5	xiang	xiang	PROPN
ejpam-6005	422	6	,	,	PUNCT
ejpam-6005	422	7	zi	zi	PROPN
ejpam-6005	422	8	-	-	PROPN
ejpam-6005	422	9	hao	hao	PROPN
ejpam-6005	422	10	wang	wang	PROPN
ejpam-6005	422	11	,	,	PUNCT
ejpam-6005	422	12	lin	lin	PROPN
ejpam-6005	422	13	-	-	PUNCT
ejpam-6005	422	14	lin	lin	PROPN
ejpam-6005	422	15	ye	ye	PROPN
ejpam-6005	422	16	,	,	PUNCT
ejpam-6005	422	17	xin	xin	PROPN
ejpam-6005	422	18	-	-	PUNCT
ejpam-6005	422	19	liang	liang	PROPN
ejpam-6005	422	20	he	he	PRON
ejpam-6005	422	21	,	,	PUNCT
ejpam-6005	422	22	xiao	xiao	PROPN
ejpam-6005	422	23	-	-	PUNCT
ejpam-6005	422	24	shan	shan	PROPN
ejpam-6005	422	25	wei	wei	PROPN
ejpam-6005	422	26	,	,	PUNCT
ejpam-6005	422	27	yan	yan	PROPN
ejpam-6005	422	28	-	-	PUNCT
ejpam-6005	422	29	ling	ling	PROPN
ejpam-6005	422	30	ma	ma	PROPN
ejpam-6005	422	31	,	,	PUNCT
ejpam-6005	422	32	hui	hui	PROPN
ejpam-6005	422	33	li	li	PROPN
ejpam-6005	422	34	,	,	PUNCT
ejpam-6005	422	35	long	long	PROPN
ejpam-6005	422	36	chen	chen	PROPN
ejpam-6005	422	37	,	,	PUNCT
ejpam-6005	422	38	xiao	xiao	PROPN
ejpam-6005	422	39	-	-	PUNCT
ejpam-6005	422	40	rong	rong	PROPN
ejpam-6005	422	41	wang	wang	PROPN
ejpam-6005	422	42	,	,	PUNCT
ejpam-6005	422	43	and	and	CCONJ
ejpam-6005	422	44	qiong	qiong	PROPN
ejpam-6005	422	45	zhou	zhou	PROPN
ejpam-6005	422	46	.	.	PUNCT
ejpam-6005	423	1	co	co	NOUN
ejpam-6005	424	1	-	-	NOUN
ejpam-6005	425	1	infection	infection	NOUN
ejpam-6005	425	2	of	of	ADP
ejpam-6005	425	3	sars	sar	NOUN
ejpam-6005	425	4	-	-	PUNCT
ejpam-6005	425	5	cov-2	cov-2	PUNCT
ejpam-6005	425	6	and	and	CCONJ
ejpam-6005	425	7	influenza	influenza	NOUN
ejpam-6005	425	8	a	a	DET
ejpam-6005	425	9	virus	virus	NOUN
ejpam-6005	425	10	:	:	PUNCT
ejpam-6005	425	11	a	a	DET
ejpam-6005	425	12	case	case	NOUN
ejpam-6005	425	13	series	series	NOUN
ejpam-6005	425	14	and	and	CCONJ
ejpam-6005	425	15	fast	fast	ADJ
ejpam-6005	425	16	review	review	NOUN
ejpam-6005	425	17	.	.	PUNCT
ejpam-6005	426	1	current	current	ADJ
ejpam-6005	426	2	medical	medical	ADJ
ejpam-6005	426	3	science	science	NOUN
ejpam-6005	426	4	,	,	PUNCT
ejpam-6005	426	5	41(1):51–57	41(1):51–57	NUM
ejpam-6005	426	6	,	,	PUNCT
ejpam-6005	426	7	2021	2021	NUM
ejpam-6005	426	8	.	.	PUNCT
ejpam-6005	427	1	[	[	X
ejpam-6005	427	2	20	20	NUM
ejpam-6005	427	3	]	]	X
ejpam-6005	427	4	john	john	PROPN
ejpam-6005	427	5	paget	paget	PROPN
ejpam-6005	427	6	,	,	PUNCT
ejpam-6005	427	7	saverio	saverio	PROPN
ejpam-6005	427	8	caini	caini	PROPN
ejpam-6005	427	9	,	,	PUNCT
ejpam-6005	427	10	ben	ben	PROPN
ejpam-6005	427	11	cowling	cowling	NOUN
ejpam-6005	427	12	,	,	PUNCT
ejpam-6005	427	13	susanna	susanna	PROPN
ejpam-6005	427	14	esposito	esposito	PROPN
ejpam-6005	427	15	,	,	PUNCT
ejpam-6005	427	16	ann	ann	PROPN
ejpam-6005	427	17	r	r	PROPN
ejpam-6005	427	18	falsey	falsey	NOUN
ejpam-6005	427	19	,	,	PUNCT
ejpam-6005	427	20	angela	angela	PROPN
ejpam-6005	427	21	gentile	gentile	NOUN
ejpam-6005	427	22	,	,	PUNCT
ejpam-6005	427	23	jan	jan	PROPN
ejpam-6005	427	24	kyncl	kyncl	PROPN
ejpam-6005	427	25	,	,	PUNCT
ejpam-6005	427	26	c	c	PROPN
ejpam-6005	427	27	macintyre	macintyre	PROPN
ejpam-6005	427	28	,	,	PUNCT
ejpam-6005	427	29	richard	richard	PROPN
ejpam-6005	427	30	pitman	pitman	PROPN
ejpam-6005	427	31	,	,	PUNCT
ejpam-6005	427	32	and	and	CCONJ
ejpam-6005	427	33	bruno	bruno	PROPN
ejpam-6005	427	34	lina	lina	PROPN
ejpam-6005	427	35	.	.	PUNCT
ejpam-6005	428	1	the	the	DET
ejpam-6005	428	2	impact	impact	NOUN
ejpam-6005	428	3	of	of	ADP
ejpam-6005	428	4	influenza	influenza	ADJ
ejpam-6005	428	5	vaccination	vaccination	NOUN
ejpam-6005	428	6	on	on	ADP
ejpam-6005	428	7	the	the	DET
ejpam-6005	428	8	covid-19	covid-19	PROPN
ejpam-6005	428	9	pandemic	pandemic	NOUN
ejpam-6005	428	10	?	?	PUNCT
ejpam-6005	428	11	evidence	evidence	NOUN
ejpam-6005	428	12	and	and	CCONJ
ejpam-6005	428	13	lessons	lesson	NOUN
ejpam-6005	428	14	for	for	ADP
ejpam-6005	428	15	public	public	ADJ
ejpam-6005	428	16	health	health	NOUN
ejpam-6005	428	17	policies	policy	NOUN
ejpam-6005	428	18	.	.	PUNCT
ejpam-6005	429	1	vaccine	vaccine	NOUN
ejpam-6005	429	2	,	,	PUNCT
ejpam-6005	429	3	38(42):6485	38(42):6485	NUM
ejpam-6005	429	4	,	,	PUNCT
ejpam-6005	429	5	2020	2020	NUM
ejpam-6005	429	6	.	.	PUNCT
ejpam-6005	430	1	[	[	X
ejpam-6005	430	2	21	21	NUM
ejpam-6005	430	3	]	]	X
ejpam-6005	430	4	deus	deus	NOUN
ejpam-6005	430	5	thindwa	thindwa	VERB
ejpam-6005	430	6	,	,	PUNCT
ejpam-6005	430	7	maria	maria	PROPN
ejpam-6005	430	8	garcia	garcia	PROPN
ejpam-6005	430	9	quesada	quesada	PROPN
ejpam-6005	430	10	,	,	PUNCT
ejpam-6005	430	11	yang	yang	PROPN
ejpam-6005	430	12	liu	liu	PROPN
ejpam-6005	430	13	,	,	PUNCT
ejpam-6005	430	14	julia	julia	PROPN
ejpam-6005	430	15	bennett	bennett	PROPN
ejpam-6005	430	16	,	,	PUNCT
ejpam-6005	430	17	cheryl	cheryl	PROPN
ejpam-6005	430	18	cohen	cohen	PROPN
ejpam-6005	430	19	,	,	PUNCT
ejpam-6005	430	20	maria	maria	PROPN
ejpam-6005	430	21	deloria	deloria	PROPN
ejpam-6005	430	22	knoll	knoll	PROPN
ejpam-6005	430	23	,	,	PUNCT
ejpam-6005	430	24	anne	anne	PROPN
ejpam-6005	430	25	von	von	PROPN
ejpam-6005	430	26	gottberg	gottberg	PROPN
ejpam-6005	430	27	,	,	PUNCT
ejpam-6005	430	28	kyla	kyla	PROPN
ejpam-6005	430	29	hayford	hayford	PROPN
ejpam-6005	430	30	,	,	PUNCT
ejpam-6005	430	31	and	and	CCONJ
ejpam-6005	430	32	stefan	stefan	PROPN
ejpam-6005	430	33	flasche	flasche	PROPN
ejpam-6005	430	34	.	.	PUNCT
ejpam-6005	431	1	use	use	NOUN
ejpam-6005	431	2	of	of	ADP
ejpam-6005	431	3	seasonal	seasonal	ADJ
ejpam-6005	431	4	influenza	influenza	NOUN
ejpam-6005	431	5	and	and	CCONJ
ejpam-6005	431	6	pneumococcal	pneumococcal	ADJ
ejpam-6005	431	7	polysaccharide	polysaccharide	NOUN
ejpam-6005	431	8	vaccines	vaccine	NOUN
ejpam-6005	431	9	in	in	ADP
ejpam-6005	431	10	older	old	ADJ
ejpam-6005	431	11	adults	adult	NOUN
ejpam-6005	431	12	to	to	PART
ejpam-6005	431	13	reduce	reduce	VERB
ejpam-6005	431	14	covid-19	covid-19	PROPN
ejpam-6005	431	15	mortality	mortality	NOUN
ejpam-6005	431	16	.	.	PUNCT
ejpam-6005	432	1	vaccine	vaccine	NOUN
ejpam-6005	432	2	,	,	PUNCT
ejpam-6005	432	3	38(34):5398	38(34):5398	NUM
ejpam-6005	432	4	,	,	PUNCT
ejpam-6005	432	5	2020	2020	NUM
ejpam-6005	432	6	.	.	PUNCT
ejpam-6005	433	1	[	[	X
ejpam-6005	433	2	22	22	NUM
ejpam-6005	433	3	]	]	PUNCT
ejpam-6005	433	4	suman	suman	PROPN
ejpam-6005	433	5	bhowmick	bhowmick	PROPN
ejpam-6005	433	6	,	,	PUNCT
ejpam-6005	433	7	igor	igor	PROPN
ejpam-6005	433	8	m	m	PROPN
ejpam-6005	433	9	sokolov	sokolov	NOUN
ejpam-6005	433	10	,	,	PUNCT
ejpam-6005	433	11	and	and	CCONJ
ejpam-6005	433	12	hartmut	hartmut	PROPN
ejpam-6005	433	13	hk	hk	PROPN
ejpam-6005	433	14	lentz	lentz	PROPN
ejpam-6005	433	15	.	.	PUNCT
ejpam-6005	434	1	decoding	decode	VERB
ejpam-6005	434	2	the	the	DET
ejpam-6005	434	3	double	double	ADJ
ejpam-6005	434	4	trouble	trouble	NOUN
ejpam-6005	434	5	:	:	PUNCT
ejpam-6005	434	6	a	a	DET
ejpam-6005	434	7	mathematical	mathematical	ADJ
ejpam-6005	434	8	modelling	modelling	NOUN
ejpam-6005	434	9	of	of	ADP
ejpam-6005	434	10	co	co	ADJ
ejpam-6005	434	11	-	-	NOUN
ejpam-6005	434	12	infection	infection	NOUN
ejpam-6005	434	13	dynamics	dynamic	NOUN
ejpam-6005	434	14	of	of	ADP
ejpam-6005	434	15	sars	sar	NOUN
ejpam-6005	434	16	-	-	PUNCT
ejpam-6005	434	17	cov-2	cov-2	PART
ejpam-6005	434	18	and	and	CCONJ
ejpam-6005	434	19	influenza	influenza	NOUN
ejpam-6005	434	20	-	-	PUNCT
ejpam-6005	434	21	like	like	ADJ
ejpam-6005	434	22	illness	illness	NOUN
ejpam-6005	434	23	.	.	PUNCT
ejpam-6005	435	1	biosystems	biosystem	NOUN
ejpam-6005	435	2	,	,	PUNCT
ejpam-6005	435	3	224:104827	224:104827	PROPN
ejpam-6005	435	4	,	,	PUNCT
ejpam-6005	435	5	2023	2023	NUM
ejpam-6005	435	6	.	.	PUNCT
ejpam-6005	436	1	[	[	X
ejpam-6005	436	2	23	23	NUM
ejpam-6005	436	3	]	]	PUNCT
ejpam-6005	436	4	ebrahem	ebrahem	VERB
ejpam-6005	436	5	a	a	DET
ejpam-6005	436	6	algehyne	algehyne	NOUN
ejpam-6005	436	7	and	and	CCONJ
ejpam-6005	436	8	rahim	rahim	PROPN
ejpam-6005	436	9	ud	ud	INTJ
ejpam-6005	436	10	din	din	PROPN
ejpam-6005	436	11	.	.	PROPN
ejpam-6005	437	1	on	on	ADP
ejpam-6005	437	2	global	global	ADJ
ejpam-6005	437	3	dynamics	dynamic	NOUN
ejpam-6005	437	4	of	of	ADP
ejpam-6005	437	5	covid-19	covid-19	PROPN
ejpam-6005	437	6	by	by	ADP
ejpam-6005	437	7	using	use	VERB
ejpam-6005	437	8	sqir	sqir	NOUN
ejpam-6005	437	9	type	type	NOUN
ejpam-6005	437	10	model	model	NOUN
ejpam-6005	437	11	under	under	ADP
ejpam-6005	437	12	non	non	ADJ
ejpam-6005	437	13	-	-	ADJ
ejpam-6005	437	14	linear	linear	ADJ
ejpam-6005	437	15	saturated	saturated	ADJ
ejpam-6005	437	16	incidence	incidence	NOUN
ejpam-6005	437	17	rate	rate	NOUN
ejpam-6005	437	18	.	.	PUNCT
ejpam-6005	438	1	alexandria	alexandria	PROPN
ejpam-6005	438	2	engineering	engineering	PROPN
ejpam-6005	438	3	r.	r.	PROPN
ejpam-6005	438	4	ud	ud	PROPN
ejpam-6005	438	5	din	din	PROPN
ejpam-6005	438	6	,	,	PUNCT
ejpam-6005	438	7	m.	m.	PROPN
ejpam-6005	438	8	s.	s.	PROPN
ejpam-6005	438	9	arif	arif	PROPN
ejpam-6005	438	10	/	/	SYM
ejpam-6005	438	11	eur	eur	PROPN
ejpam-6005	438	12	.	.	PUNCT
ejpam-6005	439	1	j.	j.	PROPN
ejpam-6005	439	2	pure	pure	PROPN
ejpam-6005	439	3	appl	appl	PROPN
ejpam-6005	439	4	.	.	PROPN
ejpam-6005	439	5	math	math	PROPN
ejpam-6005	439	6	,	,	PUNCT
ejpam-6005	439	7	18	18	NUM
ejpam-6005	439	8	(	(	PUNCT
ejpam-6005	439	9	2	2	NUM
ejpam-6005	439	10	)	)	PUNCT
ejpam-6005	439	11	(	(	PUNCT
ejpam-6005	439	12	2025	2025	NUM
ejpam-6005	439	13	)	)	PUNCT
ejpam-6005	439	14	,	,	PUNCT
ejpam-6005	439	15	6005	6005	NUM
ejpam-6005	439	16	27	27	NUM
ejpam-6005	439	17	of	of	ADP
ejpam-6005	439	18	27	27	NUM
ejpam-6005	439	19	journal	journal	NOUN
ejpam-6005	439	20	,	,	PUNCT
ejpam-6005	439	21	60(1):393–399	60(1):393–399	PROPN
ejpam-6005	439	22	,	,	PUNCT
ejpam-6005	439	23	2021	2021	NUM
ejpam-6005	439	24	.	.	PUNCT
ejpam-6005	440	1	[	[	X
ejpam-6005	440	2	24	24	NUM
ejpam-6005	440	3	]	]	X
ejpam-6005	440	4	kamal	kamal	PROPN
ejpam-6005	440	5	shah	shah	PROPN
ejpam-6005	440	6	,	,	PUNCT
ejpam-6005	440	7	thabet	thabet	ADJ
ejpam-6005	440	8	abdeljawad	abdeljawad	NOUN
ejpam-6005	440	9	,	,	PUNCT
ejpam-6005	440	10	and	and	CCONJ
ejpam-6005	440	11	rahim	rahim	PROPN
ejpam-6005	440	12	ud	ud	INTJ
ejpam-6005	440	13	din	din	VERB
ejpam-6005	440	14	.	.	PROPN
ejpam-6005	440	15	to	to	PART
ejpam-6005	440	16	study	study	VERB
ejpam-6005	440	17	the	the	DET
ejpam-6005	440	18	transmission	transmission	NOUN
ejpam-6005	440	19	dynamic	dynamic	NOUN
ejpam-6005	440	20	of	of	ADP
ejpam-6005	440	21	sars	sar	NOUN
ejpam-6005	440	22	-	-	PUNCT
ejpam-6005	440	23	cov-2	cov-2	PART
ejpam-6005	440	24	using	use	VERB
ejpam-6005	440	25	nonlinear	nonlinear	ADJ
ejpam-6005	440	26	saturated	saturate	VERB
ejpam-6005	440	27	incidence	incidence	NOUN
ejpam-6005	440	28	rate	rate	NOUN
ejpam-6005	440	29	.	.	PUNCT
ejpam-6005	441	1	physica	physica	PROPN
ejpam-6005	441	2	a	a	DET
ejpam-6005	441	3	:	:	PUNCT
ejpam-6005	441	4	statistical	statistical	ADJ
ejpam-6005	441	5	mechanics	mechanic	NOUN
ejpam-6005	441	6	and	and	CCONJ
ejpam-6005	441	7	its	its	PRON
ejpam-6005	441	8	applications	application	NOUN
ejpam-6005	441	9	,	,	PUNCT
ejpam-6005	441	10	604:127915	604:127915	NOUN
ejpam-6005	441	11	,	,	PUNCT
ejpam-6005	441	12	2022	2022	NUM
ejpam-6005	441	13	.	.	PUNCT
ejpam-6005	442	1	[	[	X
ejpam-6005	442	2	25	25	NUM
ejpam-6005	442	3	]	]	X
ejpam-6005	442	4	peter	peter	PROPN
ejpam-6005	442	5	m	m	PROPN
ejpam-6005	442	6	manning	man	VERB
ejpam-6005	442	7	and	and	CCONJ
ejpam-6005	442	8	gary	gary	PROPN
ejpam-6005	442	9	f	f	PROPN
ejpam-6005	442	10	margrave	margrave	PROPN
ejpam-6005	442	11	.	.	PUNCT
ejpam-6005	443	1	introduction	introduction	NOUN
ejpam-6005	443	2	to	to	ADP
ejpam-6005	443	3	non	non	ADJ
ejpam-6005	443	4	-	-	ADJ
ejpam-6005	443	5	standard	standard	ADJ
ejpam-6005	443	6	finitedifference	finitedifference	NOUN
ejpam-6005	443	7	modelling	modelling	NOUN
ejpam-6005	443	8	.	.	PUNCT
ejpam-6005	444	1	crewes	crewe	NOUN
ejpam-6005	444	2	res	re	NOUN
ejpam-6005	444	3	.	.	PUNCT
ejpam-6005	445	1	rep	rep	PROPN
ejpam-6005	445	2	,	,	PUNCT
ejpam-6005	445	3	18:1–10	18:1–10	NUM
ejpam-6005	445	4	,	,	PUNCT
ejpam-6005	445	5	2006	2006	NUM
ejpam-6005	445	6	.	.	PUNCT
ejpam-6005	446	1	[	[	X
ejpam-6005	446	2	26	26	NUM
ejpam-6005	446	3	]	]	X
ejpam-6005	446	4	muhammad	muhammad	PROPN
ejpam-6005	446	5	arfan	arfan	PROPN
ejpam-6005	446	6	,	,	PUNCT
ejpam-6005	446	7	maha	maha	PROPN
ejpam-6005	446	8	ma	ma	PROPN
ejpam-6005	446	9	lashin	lashin	PROPN
ejpam-6005	446	10	,	,	PUNCT
ejpam-6005	446	11	pongsakorn	pongsakorn	ADJ
ejpam-6005	446	12	sunthrayuth	sunthrayuth	NOUN
ejpam-6005	446	13	,	,	PUNCT
ejpam-6005	446	14	kamal	kamal	PROPN
ejpam-6005	446	15	shah	shah	PROPN
ejpam-6005	446	16	,	,	PUNCT
ejpam-6005	446	17	aman	aman	PROPN
ejpam-6005	446	18	ullah	ullah	PROPN
ejpam-6005	446	19	,	,	PUNCT
ejpam-6005	446	20	kulpash	kulpash	PROPN
ejpam-6005	446	21	iskakova	iskakova	PROPN
ejpam-6005	446	22	,	,	PUNCT
ejpam-6005	446	23	mr	mr	PROPN
ejpam-6005	446	24	gorji	gorji	PROPN
ejpam-6005	446	25	,	,	PUNCT
ejpam-6005	446	26	and	and	CCONJ
ejpam-6005	446	27	thabet	thabet	ADJ
ejpam-6005	446	28	abdeljawad	abdeljawad	NOUN
ejpam-6005	446	29	.	.	PUNCT
ejpam-6005	447	1	on	on	ADP
ejpam-6005	447	2	nonlinear	nonlinear	ADJ
ejpam-6005	447	3	dynamics	dynamic	NOUN
ejpam-6005	447	4	of	of	ADP
ejpam-6005	447	5	covid-19	covid-19	PROPN
ejpam-6005	447	6	disease	disease	NOUN
ejpam-6005	447	7	model	model	NOUN
ejpam-6005	447	8	corresponding	correspond	VERB
ejpam-6005	447	9	to	to	ADP
ejpam-6005	447	10	nonsingular	nonsingular	ADJ
ejpam-6005	447	11	fractional	fractional	ADJ
ejpam-6005	447	12	order	order	NOUN
ejpam-6005	447	13	derivative	derivative	NOUN
ejpam-6005	447	14	.	.	PUNCT
ejpam-6005	448	1	medical	medical	PROPN
ejpam-6005	448	2	&	&	CCONJ
ejpam-6005	448	3	biological	biological	PROPN
ejpam-6005	448	4	engineering	engineering	PROPN
ejpam-6005	448	5	&	&	CCONJ
ejpam-6005	448	6	computing	computing	PROPN
ejpam-6005	448	7	,	,	PUNCT
ejpam-6005	448	8	60(11):3169–3185	60(11):3169–3185	NUM
ejpam-6005	448	9	,	,	PUNCT
ejpam-6005	448	10	2022	2022	NUM
ejpam-6005	448	11	.	.	PUNCT
ejpam-6005	449	1	[	[	X
ejpam-6005	449	2	27	27	NUM
ejpam-6005	449	3	]	]	X
ejpam-6005	449	4	muhammad	muhammad	PROPN
ejpam-6005	449	5	arfan	arfan	PROPN
ejpam-6005	449	6	,	,	PUNCT
ejpam-6005	449	7	kamal	kamal	PROPN
ejpam-6005	449	8	shah	shah	NOUN
ejpam-6005	449	9	,	,	PUNCT
ejpam-6005	449	10	and	and	CCONJ
ejpam-6005	449	11	aman	aman	PROPN
ejpam-6005	449	12	ullah	ullah	PROPN
ejpam-6005	449	13	.	.	PUNCT
ejpam-6005	450	1	some	some	DET
ejpam-6005	450	2	theoretical	theoretical	ADJ
ejpam-6005	450	3	and	and	CCONJ
ejpam-6005	450	4	computation	computation	NOUN
ejpam-6005	450	5	results	result	NOUN
ejpam-6005	450	6	about	about	ADP
ejpam-6005	450	7	covid-19	covid-19	PROPN
ejpam-6005	450	8	by	by	ADP
ejpam-6005	450	9	using	use	VERB
ejpam-6005	450	10	a	a	DET
ejpam-6005	450	11	fractional	fractional	ADJ
ejpam-6005	450	12	-	-	PUNCT
ejpam-6005	450	13	order	order	NOUN
ejpam-6005	450	14	mathematical	mathematical	ADJ
ejpam-6005	450	15	model	model	NOUN
ejpam-6005	450	16	.	.	PUNCT
ejpam-6005	451	1	in	in	ADP
ejpam-6005	451	2	fractional	fractional	ADJ
ejpam-6005	451	3	-	-	PUNCT
ejpam-6005	451	4	order	order	NOUN
ejpam-6005	451	5	modeling	modeling	NOUN
ejpam-6005	451	6	of	of	ADP
ejpam-6005	451	7	dynamic	dynamic	ADJ
ejpam-6005	451	8	systems	system	NOUN
ejpam-6005	451	9	with	with	ADP
ejpam-6005	451	10	applications	application	NOUN
ejpam-6005	451	11	in	in	ADP
ejpam-6005	451	12	optimization	optimization	NOUN
ejpam-6005	451	13	,	,	PUNCT
ejpam-6005	451	14	signal	signal	NOUN
ejpam-6005	451	15	processing	processing	NOUN
ejpam-6005	451	16	and	and	CCONJ
ejpam-6005	451	17	control	control	NOUN
ejpam-6005	451	18	,	,	PUNCT
ejpam-6005	451	19	pages	page	NOUN
ejpam-6005	451	20	37–68	37–68	NUM
ejpam-6005	451	21	.	.	PUNCT
ejpam-6005	451	22	elsevier	elsevier	NOUN
ejpam-6005	451	23	,	,	PUNCT
ejpam-6005	451	24	2022	2022	NUM
ejpam-6005	451	25	.	.	PUNCT
ejpam-6005	452	1	[	[	X
ejpam-6005	452	2	28	28	NUM
ejpam-6005	452	3	]	]	X
ejpam-6005	452	4	zhuo	zhuo	PROPN
ejpam-6005	452	5	-	-	PUNCT
ejpam-6005	452	6	jia	jia	PROPN
ejpam-6005	452	7	fu	fu	PROPN
ejpam-6005	452	8	,	,	PUNCT
ejpam-6005	452	9	zhuo	zhuo	PROPN
ejpam-6005	452	10	-	-	PUNCT
ejpam-6005	452	11	chao	chao	PROPN
ejpam-6005	452	12	tang	tang	PROPN
ejpam-6005	452	13	,	,	PUNCT
ejpam-6005	452	14	hai	hai	PROPN
ejpam-6005	452	15	-	-	PUNCT
ejpam-6005	452	16	tao	tao	PROPN
ejpam-6005	452	17	zhao	zhao	PROPN
ejpam-6005	452	18	,	,	PUNCT
ejpam-6005	452	19	po	po	PROPN
ejpam-6005	452	20	-	-	PUNCT
ejpam-6005	452	21	wei	wei	PROPN
ejpam-6005	452	22	li	li	PROPN
ejpam-6005	452	23	,	,	PUNCT
ejpam-6005	452	24	and	and	CCONJ
ejpam-6005	452	25	timon	timon	PROPN
ejpam-6005	452	26	rabczuk	rabczuk	PROPN
ejpam-6005	452	27	.	.	PUNCT
ejpam-6005	453	1	numerical	numerical	ADJ
ejpam-6005	453	2	solutions	solution	NOUN
ejpam-6005	453	3	of	of	ADP
ejpam-6005	453	4	the	the	DET
ejpam-6005	453	5	coupled	couple	VERB
ejpam-6005	453	6	unsteady	unsteady	ADJ
ejpam-6005	453	7	nonlinear	nonlinear	ADJ
ejpam-6005	453	8	convection	convection	NOUN
ejpam-6005	453	9	-	-	PUNCT
ejpam-6005	453	10	diffusion	diffusion	NOUN
ejpam-6005	453	11	equations	equation	NOUN
ejpam-6005	453	12	based	base	VERB
ejpam-6005	453	13	on	on	ADP
ejpam-6005	453	14	generalized	generalized	ADJ
ejpam-6005	453	15	finite	finite	ADJ
ejpam-6005	453	16	difference	difference	NOUN
ejpam-6005	453	17	method	method	NOUN
ejpam-6005	453	18	.	.	PUNCT
ejpam-6005	454	1	the	the	DET
ejpam-6005	454	2	european	european	PROPN
ejpam-6005	454	3	physical	physical	PROPN
ejpam-6005	454	4	journal	journal	PROPN
ejpam-6005	454	5	plus	plus	CCONJ
ejpam-6005	454	6	,	,	PUNCT
ejpam-6005	454	7	134(6):272	134(6):272	NUM
ejpam-6005	454	8	,	,	PUNCT
ejpam-6005	454	9	2019	2019	NUM
ejpam-6005	454	10	.	.	PUNCT
ejpam-6005	455	1	[	[	X
ejpam-6005	455	2	29	29	NUM
ejpam-6005	455	3	]	]	X
ejpam-6005	455	4	rahim	rahim	PROPN
ejpam-6005	455	5	ud	ud	INTJ
ejpam-6005	455	6	din	din	PROPN
ejpam-6005	455	7	,	,	PUNCT
ejpam-6005	455	8	khalid	khalid	PROPN
ejpam-6005	455	9	ali	ali	PROPN
ejpam-6005	455	10	khan	khan	PROPN
ejpam-6005	455	11	,	,	PUNCT
ejpam-6005	455	12	ahmad	ahmad	PROPN
ejpam-6005	455	13	aloqaily	aloqaily	ADV
ejpam-6005	455	14	,	,	PUNCT
ejpam-6005	455	15	nabil	nabil	PROPN
ejpam-6005	455	16	mlaiki	mlaiki	PROPN
ejpam-6005	455	17	,	,	PUNCT
ejpam-6005	455	18	and	and	CCONJ
ejpam-6005	455	19	hussam	hussam	PROPN
ejpam-6005	455	20	alrabaiah	alrabaiah	PROPN
ejpam-6005	455	21	.	.	PUNCT
ejpam-6005	456	1	using	use	VERB
ejpam-6005	456	2	non	non	ADJ
ejpam-6005	456	3	-	-	ADJ
ejpam-6005	456	4	standard	standard	ADJ
ejpam-6005	456	5	finite	finite	ADJ
ejpam-6005	456	6	difference	difference	NOUN
ejpam-6005	456	7	scheme	scheme	NOUN
ejpam-6005	456	8	to	to	PART
ejpam-6005	456	9	study	study	VERB
ejpam-6005	456	10	classical	classical	ADJ
ejpam-6005	456	11	and	and	CCONJ
ejpam-6005	456	12	fractional	fractional	ADJ
ejpam-6005	456	13	order	order	NOUN
ejpam-6005	456	14	seivr	seivr	NOUN
ejpam-6005	456	15	model	model	NOUN
ejpam-6005	456	16	.	.	PUNCT
ejpam-6005	457	1	fractal	fractal	PROPN
ejpam-6005	457	2	and	and	CCONJ
ejpam-6005	457	3	fractional	fractional	ADJ
ejpam-6005	457	4	,	,	PUNCT
ejpam-6005	457	5	7(7):552	7(7):552	NUM
ejpam-6005	457	6	,	,	PUNCT
ejpam-6005	457	7	2023	2023	NUM
ejpam-6005	457	8	.	.	PUNCT
ejpam-6005	458	1	[	[	X
ejpam-6005	458	2	30	30	NUM
ejpam-6005	458	3	]	]	X
ejpam-6005	458	4	resat	resat	PROPN
ejpam-6005	458	5	ozaras	ozaras	PROPN
ejpam-6005	458	6	,	,	PUNCT
ejpam-6005	458	7	rasim	rasim	ADJ
ejpam-6005	458	8	cirpin	cirpin	NOUN
ejpam-6005	458	9	,	,	PUNCT
ejpam-6005	458	10	arif	arif	PROPN
ejpam-6005	458	11	duran	duran	PROPN
ejpam-6005	458	12	,	,	PUNCT
ejpam-6005	458	13	habibe	habibe	PROPN
ejpam-6005	458	14	duman	duman	PROPN
ejpam-6005	458	15	,	,	PUNCT
ejpam-6005	458	16	ozgur	ozgur	PROPN
ejpam-6005	458	17	arslan	arslan	PROPN
ejpam-6005	458	18	,	,	PUNCT
ejpam-6005	458	19	yasin	yasin	PROPN
ejpam-6005	458	20	bakcan	bakcan	PROPN
ejpam-6005	458	21	,	,	PUNCT
ejpam-6005	458	22	metin	metin	PROPN
ejpam-6005	458	23	kaya	kaya	PROPN
ejpam-6005	458	24	,	,	PUNCT
ejpam-6005	458	25	huseyin	huseyin	PROPN
ejpam-6005	458	26	mutlu	mutlu	PROPN
ejpam-6005	458	27	,	,	PUNCT
ejpam-6005	458	28	leyla	leyla	PROPN
ejpam-6005	458	29	isayeva	isayeva	PROPN
ejpam-6005	458	30	,	,	PUNCT
ejpam-6005	458	31	fatih	fatih	PROPN
ejpam-6005	458	32	kebanlı	kebanlı	PROPN
ejpam-6005	458	33	,	,	PUNCT
ejpam-6005	458	34	et	et	PROPN
ejpam-6005	458	35	al	al	PROPN
ejpam-6005	458	36	.	.	PUNCT
ejpam-6005	458	37	influenza	influenza	PROPN
ejpam-6005	458	38	and	and	CCONJ
ejpam-6005	458	39	covid-19	covid-19	PROPN
ejpam-6005	458	40	coinfection	coinfection	NOUN
ejpam-6005	458	41	:	:	PUNCT
ejpam-6005	458	42	report	report	NOUN
ejpam-6005	458	43	of	of	ADP
ejpam-6005	458	44	six	six	NUM
ejpam-6005	458	45	cases	case	NOUN
ejpam-6005	458	46	and	and	CCONJ
ejpam-6005	458	47	review	review	NOUN
ejpam-6005	458	48	of	of	ADP
ejpam-6005	458	49	the	the	DET
ejpam-6005	458	50	literature	literature	NOUN
ejpam-6005	458	51	.	.	PUNCT
ejpam-6005	459	1	journal	journal	PROPN
ejpam-6005	459	2	of	of	ADP
ejpam-6005	459	3	medical	medical	ADJ
ejpam-6005	459	4	virology	virology	NOUN
ejpam-6005	459	5	,	,	PUNCT
ejpam-6005	459	6	92(11):2657–2665	92(11):2657–2665	NUM
ejpam-6005	459	7	,	,	PUNCT
ejpam-6005	459	8	2020	2020	NUM
ejpam-6005	459	9	.	.	PUNCT
ejpam-6005	460	1	[	[	X
ejpam-6005	460	2	31	31	NUM
ejpam-6005	460	3	]	]	X
ejpam-6005	460	4	qiang	qiang	PROPN
ejpam-6005	460	5	ding	ding	PROPN
ejpam-6005	460	6	,	,	PUNCT
ejpam-6005	460	7	panpan	panpan	PROPN
ejpam-6005	460	8	lu	lu	PROPN
ejpam-6005	460	9	,	,	PUNCT
ejpam-6005	460	10	yuhui	yuhui	PROPN
ejpam-6005	460	11	fan	fan	PROPN
ejpam-6005	460	12	,	,	PUNCT
ejpam-6005	460	13	yujia	yujia	PROPN
ejpam-6005	460	14	xia	xia	PROPN
ejpam-6005	460	15	,	,	PUNCT
ejpam-6005	460	16	and	and	CCONJ
ejpam-6005	460	17	mei	mei	PROPN
ejpam-6005	460	18	liu	liu	PROPN
ejpam-6005	460	19	.	.	PUNCT
ejpam-6005	461	1	the	the	DET
ejpam-6005	461	2	clinical	clinical	ADJ
ejpam-6005	461	3	characteristics	characteristic	NOUN
ejpam-6005	461	4	of	of	ADP
ejpam-6005	461	5	pneumonia	pneumonia	NOUN
ejpam-6005	461	6	patients	patient	NOUN
ejpam-6005	461	7	coinfected	coinfecte	VERB
ejpam-6005	461	8	with	with	ADP
ejpam-6005	461	9	2019	2019	NUM
ejpam-6005	461	10	novel	novel	ADJ
ejpam-6005	461	11	coronavirus	coronavirus	NOUN
ejpam-6005	461	12	and	and	CCONJ
ejpam-6005	461	13	influenza	influenza	NOUN
ejpam-6005	461	14	virus	virus	NOUN
ejpam-6005	461	15	in	in	ADP
ejpam-6005	461	16	wuhan	wuhan	PROPN
ejpam-6005	461	17	,	,	PUNCT
ejpam-6005	461	18	china	china	PROPN
ejpam-6005	461	19	.	.	PUNCT
ejpam-6005	462	1	journal	journal	PROPN
ejpam-6005	462	2	of	of	ADP
ejpam-6005	462	3	medical	medical	ADJ
ejpam-6005	462	4	virology	virology	NOUN
ejpam-6005	462	5	,	,	PUNCT
ejpam-6005	462	6	92(9):1549–1555	92(9):1549–1555	NUM
ejpam-6005	462	7	,	,	PUNCT
ejpam-6005	462	8	2020	2020	NUM
ejpam-6005	462	9	.	.	PUNCT
ejpam-6005	463	1	[	[	X
ejpam-6005	463	2	32	32	NUM
ejpam-6005	463	3	]	]	X
ejpam-6005	463	4	xiaojuan	xiaojuan	PROPN
ejpam-6005	463	5	zhu	zhu	PROPN
ejpam-6005	463	6	,	,	PUNCT
ejpam-6005	463	7	yiyue	yiyue	PROPN
ejpam-6005	463	8	ge	ge	PROPN
ejpam-6005	463	9	,	,	PUNCT
ejpam-6005	463	10	tao	tao	PROPN
ejpam-6005	463	11	wu	wu	PROPN
ejpam-6005	463	12	,	,	PUNCT
ejpam-6005	463	13	kangchen	kangchen	PROPN
ejpam-6005	463	14	zhao	zhao	PROPN
ejpam-6005	463	15	,	,	PUNCT
ejpam-6005	463	16	yin	yin	PROPN
ejpam-6005	463	17	chen	chen	PROPN
ejpam-6005	463	18	,	,	PUNCT
ejpam-6005	463	19	bin	bin	PROPN
ejpam-6005	463	20	wu	wu	PROPN
ejpam-6005	463	21	,	,	PUNCT
ejpam-6005	463	22	fengcai	fengcai	X
ejpam-6005	463	23	zhu	zhu	PROPN
ejpam-6005	463	24	,	,	PUNCT
ejpam-6005	463	25	baoli	baoli	PROPN
ejpam-6005	463	26	zhu	zhu	PROPN
ejpam-6005	463	27	,	,	PUNCT
ejpam-6005	463	28	and	and	CCONJ
ejpam-6005	463	29	lunbiao	lunbiao	NOUN
ejpam-6005	463	30	cui	cui	PROPN
ejpam-6005	463	31	.	.	PUNCT
ejpam-6005	464	1	co	co	NOUN
ejpam-6005	465	1	-	-	NOUN
ejpam-6005	466	1	infection	infection	NOUN
ejpam-6005	466	2	with	with	ADP
ejpam-6005	466	3	respiratory	respiratory	ADJ
ejpam-6005	466	4	pathogens	pathogen	NOUN
ejpam-6005	466	5	among	among	ADP
ejpam-6005	466	6	covid-2019	covid-2019	ADJ
ejpam-6005	466	7	cases	case	NOUN
ejpam-6005	466	8	.	.	PUNCT
ejpam-6005	467	1	virus	virus	NOUN
ejpam-6005	467	2	research	research	NOUN
ejpam-6005	467	3	,	,	PUNCT
ejpam-6005	467	4	285:198005	285:198005	NUM
ejpam-6005	467	5	,	,	PUNCT
ejpam-6005	467	6	2020	2020	NUM
ejpam-6005	467	7	.	.	PUNCT
ejpam-6005	468	1	[	[	X
ejpam-6005	468	2	33	33	NUM
ejpam-6005	468	3	]	]	PUNCT
ejpam-6005	468	4	mhammed	mhamme	VERB
ejpam-6005	468	5	mediani	mediani	NOUN
ejpam-6005	468	6	,	,	PUNCT
ejpam-6005	468	7	abdeldjalil	abdeldjalil	PROPN
ejpam-6005	468	8	slama	slama	NOUN
ejpam-6005	468	9	,	,	PUNCT
ejpam-6005	468	10	ahmed	ahmed	PROPN
ejpam-6005	468	11	boudaoui	boudaoui	PROPN
ejpam-6005	468	12	,	,	PUNCT
ejpam-6005	468	13	and	and	CCONJ
ejpam-6005	468	14	thabet	thabet	ADJ
ejpam-6005	468	15	abdeljawad	abdeljawad	NOUN
ejpam-6005	468	16	.	.	PUNCT
ejpam-6005	469	1	analysis	analysis	NOUN
ejpam-6005	469	2	of	of	ADP
ejpam-6005	469	3	a	a	DET
ejpam-6005	469	4	stochastic	stochastic	ADJ
ejpam-6005	469	5	seiuirr	seiuirr	ADJ
ejpam-6005	469	6	epidemic	epidemic	NOUN
ejpam-6005	469	7	model	model	NOUN
ejpam-6005	469	8	incorporating	incorporate	VERB
ejpam-6005	469	9	the	the	DET
ejpam-6005	469	10	ornstein	ornstein	PROPN
ejpam-6005	469	11	-	-	PUNCT
ejpam-6005	469	12	uhlenbeck	uhlenbeck	PROPN
ejpam-6005	469	13	process	process	NOUN
ejpam-6005	469	14	.	.	PUNCT
ejpam-6005	470	1	heliyon	heliyon	NOUN
ejpam-6005	470	2	,	,	PUNCT
ejpam-6005	470	3	10(16	10(16	NUM
ejpam-6005	470	4	)	)	PUNCT
ejpam-6005	470	5	,	,	PUNCT
ejpam-6005	470	6	2024	2024	NUM
ejpam-6005	470	7	.	.	PUNCT
ejpam-6005	471	1	[	[	X
ejpam-6005	471	2	34	34	NUM
ejpam-6005	471	3	]	]	PUNCT
ejpam-6005	471	4	israr	israr	NOUN
ejpam-6005	471	5	ahmad	ahmad	PROPN
ejpam-6005	471	6	,	,	PUNCT
ejpam-6005	471	7	zeeshan	zeeshan	PROPN
ejpam-6005	471	8	ali	ali	PROPN
ejpam-6005	471	9	,	,	PUNCT
ejpam-6005	471	10	babar	babar	PROPN
ejpam-6005	471	11	khan	khan	PROPN
ejpam-6005	471	12	,	,	PUNCT
ejpam-6005	471	13	kamal	kamal	PROPN
ejpam-6005	471	14	shah	shah	PROPN
ejpam-6005	471	15	,	,	PUNCT
ejpam-6005	471	16	and	and	CCONJ
ejpam-6005	471	17	thabet	thabet	ADJ
ejpam-6005	471	18	abdeljawad	abdeljawad	NOUN
ejpam-6005	471	19	.	.	PUNCT
ejpam-6005	472	1	exploring	explore	VERB
ejpam-6005	472	2	the	the	DET
ejpam-6005	472	3	dynamics	dynamic	NOUN
ejpam-6005	472	4	of	of	ADP
ejpam-6005	472	5	gumboro	gumboro	NOUN
ejpam-6005	472	6	-	-	PUNCT
ejpam-6005	472	7	salmonella	salmonella	NOUN
ejpam-6005	472	8	co	co	NOUN
ejpam-6005	472	9	-	-	NOUN
ejpam-6005	472	10	infection	infection	NOUN
ejpam-6005	472	11	with	with	ADP
ejpam-6005	472	12	fractal	fractal	ADJ
ejpam-6005	472	13	fractional	fractional	ADJ
ejpam-6005	472	14	analysis	analysis	NOUN
ejpam-6005	472	15	.	.	PUNCT
ejpam-6005	473	1	alexandria	alexandria	PROPN
ejpam-6005	473	2	engineering	engineering	PROPN
ejpam-6005	473	3	journal	journal	PROPN
ejpam-6005	473	4	,	,	PUNCT
ejpam-6005	473	5	117:472–489	117:472–489	NUM
ejpam-6005	473	6	,	,	PUNCT
ejpam-6005	473	7	2025	2025	NUM
ejpam-6005	473	8	.	.	PUNCT
ejpam-6005	474	1	[	[	X
ejpam-6005	474	2	35	35	NUM
ejpam-6005	474	3	]	]	SYM
ejpam-6005	474	4	hasib	hasib	PROPN
ejpam-6005	474	5	khan	khan	PROPN
ejpam-6005	474	6	,	,	PUNCT
ejpam-6005	474	7	jehad	jehad	PROPN
ejpam-6005	474	8	alzabut	alzabut	PROPN
ejpam-6005	474	9	,	,	PUNCT
ejpam-6005	474	10	dk	dk	PROPN
ejpam-6005	474	11	almutairi	almutairi	NOUN
ejpam-6005	474	12	,	,	PUNCT
ejpam-6005	474	13	haseena	haseena	PROPN
ejpam-6005	474	14	gulzar	gulzar	PROPN
ejpam-6005	474	15	,	,	PUNCT
ejpam-6005	474	16	and	and	CCONJ
ejpam-6005	474	17	wafa	wafa	PROPN
ejpam-6005	474	18	khalaf	khalaf	PROPN
ejpam-6005	474	19	alqurashi	alqurashi	PROPN
ejpam-6005	474	20	.	.	PUNCT
ejpam-6005	475	1	data	datum	NOUN
ejpam-6005	475	2	analysis	analysis	NOUN
ejpam-6005	475	3	of	of	ADP
ejpam-6005	475	4	fractal	fractal	ADJ
ejpam-6005	475	5	-	-	PUNCT
ejpam-6005	475	6	fractional	fractional	ADJ
ejpam-6005	475	7	co	co	NOUN
ejpam-6005	475	8	-	-	NOUN
ejpam-6005	475	9	infection	infection	ADJ
ejpam-6005	475	10	covid	covid	NOUN
ejpam-6005	475	11	-	-	PUNCT
ejpam-6005	475	12	tb	tb	ADP
ejpam-6005	475	13	model	model	NOUN
ejpam-6005	475	14	with	with	ADP
ejpam-6005	475	15	the	the	DET
ejpam-6005	475	16	use	use	NOUN
ejpam-6005	475	17	of	of	ADP
ejpam-6005	475	18	artificial	artificial	ADJ
ejpam-6005	475	19	intelligence	intelligence	NOUN
ejpam-6005	475	20	.	.	PUNCT
ejpam-6005	476	1	fractals	fractal	NOUN
ejpam-6005	476	2	,	,	PUNCT
ejpam-6005	476	3	2025	2025	NUM
ejpam-6005	476	4	.	.	PUNCT