id	sid	tid	token	lemma	pos
ejpam-6292	1	1	european	european	PROPN
ejpam-6292	1	2	journal	journal	PROPN
ejpam-6292	1	3	of	of	ADP
ejpam-6292	1	4	pure	pure	ADJ
ejpam-6292	1	5	and	and	CCONJ
ejpam-6292	1	6	applied	applied	ADJ
ejpam-6292	1	7	mathematics	mathematic	NOUN
ejpam-6292	1	8	2025	2025	NUM
ejpam-6292	1	9	,	,	PUNCT
ejpam-6292	1	10	vol	vol	NOUN
ejpam-6292	1	11	.	.	PROPN
ejpam-6292	1	12	18	18	NUM
ejpam-6292	1	13	,	,	PUNCT
ejpam-6292	1	14	issue	issue	NOUN
ejpam-6292	1	15	3	3	NUM
ejpam-6292	1	16	,	,	PUNCT
ejpam-6292	1	17	article	article	NOUN
ejpam-6292	1	18	number	number	NOUN
ejpam-6292	1	19	6292	6292	NUM
ejpam-6292	1	20	issn	issn	PROPN
ejpam-6292	1	21	1307	1307	NUM
ejpam-6292	1	22	-	-	SYM
ejpam-6292	1	23	5543	5543	NUM
ejpam-6292	1	24	–	–	PUNCT
ejpam-6292	1	25	ejpam.com	ejpam.com	X
ejpam-6292	1	26	published	publish	VERB
ejpam-6292	1	27	by	by	ADP
ejpam-6292	1	28	new	new	PROPN
ejpam-6292	1	29	york	york	PROPN
ejpam-6292	1	30	business	business	PROPN
ejpam-6292	1	31	global	global	PROPN
ejpam-6292	1	32	a	a	DET
ejpam-6292	1	33	hybrid	hybrid	ADJ
ejpam-6292	1	34	finite	finite	ADJ
ejpam-6292	1	35	difference	difference	NOUN
ejpam-6292	1	36	approach	approach	NOUN
ejpam-6292	1	37	for	for	ADP
ejpam-6292	1	38	solving	solve	VERB
ejpam-6292	1	39	fuzzy	fuzzy	ADJ
ejpam-6292	1	40	stochastic	stochastic	ADJ
ejpam-6292	1	41	sir	sir	PROPN
ejpam-6292	1	42	-	-	PUNCT
ejpam-6292	1	43	β	β	PROPN
ejpam-6292	1	44	model	model	NOUN
ejpam-6292	1	45	with	with	ADP
ejpam-6292	1	46	diffusion	diffusion	NOUN
ejpam-6292	1	47	and	and	CCONJ
ejpam-6292	1	48	incidence	incidence	NOUN
ejpam-6292	1	49	rate	rate	NOUN
ejpam-6292	1	50	muhammad	muhammad	PROPN
ejpam-6292	1	51	shoaib	shoaib	PROPN
ejpam-6292	1	52	arif1,∗	arif1,∗	PROPN
ejpam-6292	1	53	,	,	PUNCT
ejpam-6292	1	54	kamaleldin	kamaleldin	NOUN
ejpam-6292	1	55	abodayeh1	abodayeh1	PROPN
ejpam-6292	1	56	,	,	PUNCT
ejpam-6292	1	57	yasir	yasir	PROPN
ejpam-6292	1	58	nawaz2	nawaz2	PROPN
ejpam-6292	1	59	1	1	NUM
ejpam-6292	1	60	department	department	NOUN
ejpam-6292	1	61	of	of	ADP
ejpam-6292	1	62	mathematics	mathematic	NOUN
ejpam-6292	1	63	and	and	CCONJ
ejpam-6292	1	64	sciences	science	NOUN
ejpam-6292	1	65	,	,	PUNCT
ejpam-6292	1	66	college	college	NOUN
ejpam-6292	1	67	of	of	ADP
ejpam-6292	1	68	humanities	humanity	NOUN
ejpam-6292	1	69	and	and	CCONJ
ejpam-6292	1	70	sciences	science	NOUN
ejpam-6292	1	71	,	,	PUNCT
ejpam-6292	1	72	prince	prince	PROPN
ejpam-6292	1	73	sultan	sultan	PROPN
ejpam-6292	1	74	university	university	PROPN
ejpam-6292	1	75	,	,	PUNCT
ejpam-6292	1	76	riyadh	riyadh	NOUN
ejpam-6292	1	77	,	,	PUNCT
ejpam-6292	1	78	11586	11586	NUM
ejpam-6292	1	79	,	,	PUNCT
ejpam-6292	1	80	saudi	saudi	PROPN
ejpam-6292	1	81	arabia	arabia	PROPN
ejpam-6292	1	82	2	2	NUM
ejpam-6292	1	83	department	department	NOUN
ejpam-6292	1	84	of	of	ADP
ejpam-6292	1	85	mathematics	mathematics	PROPN
ejpam-6292	1	86	,	,	PUNCT
ejpam-6292	1	87	air	air	PROPN
ejpam-6292	1	88	university	university	PROPN
ejpam-6292	1	89	,	,	PUNCT
ejpam-6292	1	90	paf	paf	PROPN
ejpam-6292	1	91	complex	complex	PROPN
ejpam-6292	1	92	e-9	e-9	PROPN
ejpam-6292	1	93	,	,	PUNCT
ejpam-6292	1	94	islamabad	islamabad	PROPN
ejpam-6292	1	95	,	,	PUNCT
ejpam-6292	1	96	44000	44000	NUM
ejpam-6292	1	97	,	,	PUNCT
ejpam-6292	1	98	pakistan	pakistan	PROPN
ejpam-6292	1	99	abstract	abstract	NOUN
ejpam-6292	1	100	.	.	PUNCT
ejpam-6292	2	1	a	a	DET
ejpam-6292	2	2	finite	finite	ADJ
ejpam-6292	2	3	difference	difference	NOUN
ejpam-6292	2	4	scheme	scheme	NOUN
ejpam-6292	2	5	is	be	AUX
ejpam-6292	2	6	proposed	propose	VERB
ejpam-6292	2	7	for	for	ADP
ejpam-6292	2	8	solving	solve	VERB
ejpam-6292	2	9	stochastic	stochastic	ADJ
ejpam-6292	2	10	fuzzy	fuzzy	ADJ
ejpam-6292	2	11	partial	partial	ADJ
ejpam-6292	2	12	differential	differential	NOUN
ejpam-6292	2	13	equations	equation	NOUN
ejpam-6292	2	14	.	.	PUNCT
ejpam-6292	3	1	the	the	DET
ejpam-6292	3	2	scheme	scheme	NOUN
ejpam-6292	3	3	is	be	AUX
ejpam-6292	3	4	explicit	explicit	ADJ
ejpam-6292	3	5	and	and	CCONJ
ejpam-6292	3	6	constructed	construct	VERB
ejpam-6292	3	7	on	on	ADP
ejpam-6292	3	8	two	two	NUM
ejpam-6292	3	9	-	-	PUNCT
ejpam-6292	3	10	time	time	NOUN
ejpam-6292	3	11	levels	level	NOUN
ejpam-6292	3	12	.	.	PUNCT
ejpam-6292	4	1	the	the	DET
ejpam-6292	4	2	first	first	ADJ
ejpam-6292	4	3	stage	stage	NOUN
ejpam-6292	4	4	of	of	ADP
ejpam-6292	4	5	the	the	DET
ejpam-6292	4	6	scheme	scheme	NOUN
ejpam-6292	4	7	is	be	AUX
ejpam-6292	4	8	the	the	DET
ejpam-6292	4	9	modified	modified	ADJ
ejpam-6292	4	10	time	time	NOUN
ejpam-6292	4	11	integrator	integrator	NOUN
ejpam-6292	4	12	.	.	PUNCT
ejpam-6292	5	1	the	the	DET
ejpam-6292	5	2	stability	stability	NOUN
ejpam-6292	5	3	and	and	CCONJ
ejpam-6292	5	4	consistency	consistency	NOUN
ejpam-6292	5	5	of	of	ADP
ejpam-6292	5	6	the	the	DET
ejpam-6292	5	7	scheme	scheme	NOUN
ejpam-6292	5	8	in	in	ADP
ejpam-6292	5	9	the	the	DET
ejpam-6292	5	10	mean	mean	ADJ
ejpam-6292	5	11	square	square	ADJ
ejpam-6292	5	12	sense	sense	NOUN
ejpam-6292	5	13	are	be	AUX
ejpam-6292	5	14	also	also	ADV
ejpam-6292	5	15	provided	provide	VERB
ejpam-6292	5	16	.	.	PUNCT
ejpam-6292	6	1	the	the	DET
ejpam-6292	6	2	scheme	scheme	NOUN
ejpam-6292	6	3	is	be	AUX
ejpam-6292	6	4	applied	apply	VERB
ejpam-6292	6	5	to	to	ADP
ejpam-6292	6	6	the	the	DET
ejpam-6292	6	7	mathematical	mathematical	ADJ
ejpam-6292	6	8	model	model	NOUN
ejpam-6292	6	9	of	of	ADP
ejpam-6292	6	10	stochastic	stochastic	ADJ
ejpam-6292	6	11	fuzzy	fuzzy	ADJ
ejpam-6292	6	12	sir	sir	PROPN
ejpam-6292	6	13	-	-	PUNCT
ejpam-6292	6	14	β	β	PROPN
ejpam-6292	6	15	model	model	NOUN
ejpam-6292	6	16	using	use	VERB
ejpam-6292	6	17	incidence	incidence	NOUN
ejpam-6292	6	18	rate	rate	NOUN
ejpam-6292	6	19	.	.	PUNCT
ejpam-6292	7	1	the	the	DET
ejpam-6292	7	2	scheme	scheme	NOUN
ejpam-6292	7	3	is	be	AUX
ejpam-6292	7	4	compared	compare	VERB
ejpam-6292	7	5	with	with	ADP
ejpam-6292	7	6	existing	exist	VERB
ejpam-6292	7	7	nonstandard	nonstandard	ADJ
ejpam-6292	7	8	finite	finite	ADJ
ejpam-6292	7	9	difference	difference	NOUN
ejpam-6292	7	10	schemes	scheme	NOUN
ejpam-6292	7	11	for	for	ADP
ejpam-6292	7	12	solving	solve	VERB
ejpam-6292	7	13	deterministic	deterministic	ADJ
ejpam-6292	7	14	models	model	NOUN
ejpam-6292	7	15	.	.	PUNCT
ejpam-6292	8	1	the	the	DET
ejpam-6292	8	2	scheme	scheme	NOUN
ejpam-6292	8	3	performs	perform	VERB
ejpam-6292	8	4	better	well	ADJ
ejpam-6292	8	5	than	than	ADP
ejpam-6292	8	6	the	the	DET
ejpam-6292	8	7	existing	exist	VERB
ejpam-6292	8	8	nonstandard	nonstandard	ADJ
ejpam-6292	8	9	finite	finite	ADJ
ejpam-6292	8	10	difference	difference	NOUN
ejpam-6292	8	11	method	method	NOUN
ejpam-6292	8	12	in	in	ADP
ejpam-6292	8	13	most	most	ADV
ejpam-6292	8	14	compared	compare	VERB
ejpam-6292	8	15	figures	figure	NOUN
ejpam-6292	8	16	.	.	PUNCT
ejpam-6292	9	1	using	use	VERB
ejpam-6292	9	2	a	a	DET
ejpam-6292	9	3	computationally	computationally	ADV
ejpam-6292	9	4	efficient	efficient	ADJ
ejpam-6292	9	5	and	and	CCONJ
ejpam-6292	9	6	robust	robust	ADJ
ejpam-6292	9	7	system	system	NOUN
ejpam-6292	9	8	,	,	PUNCT
ejpam-6292	9	9	this	this	DET
ejpam-6292	9	10	work	work	NOUN
ejpam-6292	9	11	develops	develop	VERB
ejpam-6292	9	12	numerical	numerical	ADJ
ejpam-6292	9	13	methods	method	NOUN
ejpam-6292	9	14	for	for	ADP
ejpam-6292	9	15	solving	solve	VERB
ejpam-6292	9	16	epidemiological	epidemiological	ADJ
ejpam-6292	9	17	models	model	NOUN
ejpam-6292	9	18	under	under	ADP
ejpam-6292	9	19	uncertainty	uncertainty	NOUN
ejpam-6292	9	20	,	,	PUNCT
ejpam-6292	9	21	enabling	enable	VERB
ejpam-6292	9	22	researchers	researcher	NOUN
ejpam-6292	9	23	and	and	CCONJ
ejpam-6292	9	24	lawmakers	lawmaker	NOUN
ejpam-6292	9	25	to	to	PART
ejpam-6292	9	26	improve	improve	VERB
ejpam-6292	9	27	knowledge	knowledge	NOUN
ejpam-6292	9	28	and	and	CCONJ
ejpam-6292	9	29	control	control	NOUN
ejpam-6292	9	30	of	of	ADP
ejpam-6292	9	31	infectious	infectious	ADJ
ejpam-6292	9	32	diseases	disease	NOUN
ejpam-6292	9	33	.	.	PUNCT
ejpam-6292	10	1	2020	2020	NUM
ejpam-6292	10	2	mathematics	mathematic	NOUN
ejpam-6292	10	3	subject	subject	NOUN
ejpam-6292	10	4	classifications	classification	NOUN
ejpam-6292	10	5	:	:	PUNCT
ejpam-6292	10	6	35r60	35r60	NUM
ejpam-6292	10	7	,	,	PUNCT
ejpam-6292	10	8	65m06	65m06	NUM
ejpam-6292	10	9	,	,	PUNCT
ejpam-6292	10	10	92d30	92d30	NUM
ejpam-6292	10	11	key	key	ADJ
ejpam-6292	10	12	words	word	NOUN
ejpam-6292	10	13	and	and	CCONJ
ejpam-6292	10	14	phrases	phrase	NOUN
ejpam-6292	10	15	:	:	PUNCT
ejpam-6292	10	16	finite	finite	ADJ
ejpam-6292	10	17	difference	difference	NOUN
ejpam-6292	10	18	scheme	scheme	NOUN
ejpam-6292	10	19	,	,	PUNCT
ejpam-6292	10	20	exponential	exponential	ADJ
ejpam-6292	10	21	integrator	integrator	NOUN
ejpam-6292	10	22	,	,	PUNCT
ejpam-6292	10	23	stability	stability	NOUN
ejpam-6292	10	24	in	in	ADP
ejpam-6292	10	25	mean	mean	ADJ
ejpam-6292	10	26	square	square	ADJ
ejpam-6292	10	27	sense	sense	NOUN
ejpam-6292	10	28	,	,	PUNCT
ejpam-6292	10	29	sir	sir	NOUN
ejpam-6292	10	30	-	-	PUNCT
ejpam-6292	10	31	β	β	PROPN
ejpam-6292	10	32	model	model	NOUN
ejpam-6292	10	33	,	,	PUNCT
ejpam-6292	10	34	incidence	incidence	NOUN
ejpam-6292	10	35	rate	rate	NOUN
ejpam-6292	10	36	,	,	PUNCT
ejpam-6292	10	37	diffusion	diffusion	NOUN
ejpam-6292	10	38	in	in	ADP
ejpam-6292	10	39	disease	disease	NOUN
ejpam-6292	10	40	modeling	model	VERB
ejpam-6292	10	41	1	1	NUM
ejpam-6292	10	42	.	.	PUNCT
ejpam-6292	11	1	introduction	introduction	NOUN
ejpam-6292	11	2	understanding	understand	VERB
ejpam-6292	11	3	the	the	DET
ejpam-6292	11	4	dynamics	dynamic	NOUN
ejpam-6292	11	5	of	of	ADP
ejpam-6292	11	6	infectious	infectious	ADJ
ejpam-6292	11	7	diseases	disease	NOUN
ejpam-6292	11	8	depends	depend	VERB
ejpam-6292	11	9	much	much	ADV
ejpam-6292	11	10	on	on	ADP
ejpam-6292	11	11	mathematical	mathematical	ADJ
ejpam-6292	11	12	modelling	modelling	NOUN
ejpam-6292	11	13	,	,	PUNCT
ejpam-6292	11	14	which	which	PRON
ejpam-6292	11	15	also	also	ADV
ejpam-6292	11	16	helps	help	VERB
ejpam-6292	11	17	with	with	ADP
ejpam-6292	11	18	control	control	NOUN
ejpam-6292	11	19	plans	plan	NOUN
ejpam-6292	11	20	and	and	CCONJ
ejpam-6292	11	21	decision	decision	NOUN
ejpam-6292	11	22	-	-	PUNCT
ejpam-6292	11	23	making	making	NOUN
ejpam-6292	11	24	.	.	PUNCT
ejpam-6292	12	1	described	describe	VERB
ejpam-6292	12	2	as	as	ADP
ejpam-6292	12	3	the	the	DET
ejpam-6292	12	4	transmission	transmission	NOUN
ejpam-6292	12	5	of	of	ADP
ejpam-6292	12	6	infectious	infectious	ADJ
ejpam-6292	12	7	diseases	disease	NOUN
ejpam-6292	12	8	within	within	ADP
ejpam-6292	12	9	a	a	DET
ejpam-6292	12	10	community	community	NOUN
ejpam-6292	12	11	,	,	PUNCT
ejpam-6292	12	12	the	the	DET
ejpam-6292	12	13	susceptible	susceptible	ADJ
ejpam-6292	12	14	-	-	PUNCT
ejpam-6292	12	15	infected	infect	VERB
ejpam-6292	12	16	-	-	PUNCT
ejpam-6292	12	17	recovered	recover	VERB
ejpam-6292	12	18	(	(	PUNCT
ejpam-6292	12	19	sir	sir	NOUN
ejpam-6292	12	20	)	)	PUNCT
ejpam-6292	12	21	model	model	NOUN
ejpam-6292	12	22	is	be	AUX
ejpam-6292	12	23	one	one	NUM
ejpam-6292	12	24	of	of	ADP
ejpam-6292	12	25	the	the	DET
ejpam-6292	12	26	extensively	extensively	ADV
ejpam-6292	12	27	investigated	investigate	VERB
ejpam-6292	12	28	models	model	NOUN
ejpam-6292	12	29	in	in	ADP
ejpam-6292	12	30	epidemiology	epidemiology	NOUN
ejpam-6292	12	31	.	.	PUNCT
ejpam-6292	13	1	several	several	ADJ
ejpam-6292	13	2	expansions	expansion	NOUN
ejpam-6292	13	3	of	of	ADP
ejpam-6292	13	4	the	the	DET
ejpam-6292	13	5	sir	sir	NOUN
ejpam-6292	13	6	model	model	NOUN
ejpam-6292	13	7	are	be	AUX
ejpam-6292	13	8	proposed	propose	VERB
ejpam-6292	13	9	to	to	PART
ejpam-6292	13	10	grasp	grasp	VERB
ejpam-6292	13	11	more	more	ADV
ejpam-6292	13	12	complex	complex	ADJ
ejpam-6292	13	13	real	real	ADJ
ejpam-6292	13	14	-	-	PUNCT
ejpam-6292	13	15	world	world	NOUN
ejpam-6292	13	16	scenarios	scenario	NOUN
ejpam-6292	13	17	involving	involve	VERB
ejpam-6292	13	18	stochastic	stochastic	ADJ
ejpam-6292	13	19	effects	effect	NOUN
ejpam-6292	13	20	,	,	PUNCT
ejpam-6292	13	21	fuzzy	fuzzy	ADJ
ejpam-6292	13	22	uncertainty	uncertainty	NOUN
ejpam-6292	13	23	,	,	PUNCT
ejpam-6292	13	24	diffusion	diffusion	NOUN
ejpam-6292	13	25	processes	process	NOUN
ejpam-6292	13	26	,	,	PUNCT
ejpam-6292	13	27	and	and	CCONJ
ejpam-6292	13	28	non	non	ADJ
ejpam-6292	13	29	-	-	ADJ
ejpam-6292	13	30	linear	linear	ADJ
ejpam-6292	13	31	incidence	incidence	NOUN
ejpam-6292	13	32	rates	rate	NOUN
ejpam-6292	13	33	.	.	PUNCT
ejpam-6292	14	1	∗corresponding	∗corresponde	VERB
ejpam-6292	14	2	author	author	NOUN
ejpam-6292	14	3	.	.	PUNCT
ejpam-6292	15	1	doi	doi	NOUN
ejpam-6292	15	2	:	:	PUNCT
ejpam-6292	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6292	https://doi.org/10.29020/nybg.ejpam.v18i3.6292	DET
ejpam-6292	15	4	email	email	NOUN
ejpam-6292	15	5	addresses	address	VERB
ejpam-6292	15	6	:	:	PUNCT
ejpam-6292	15	7	marif@psu.edu.sa	marif@psu.edu.sa	NOUN
ejpam-6292	15	8	(	(	PUNCT
ejpam-6292	15	9	m.	m.	PROPN
ejpam-6292	15	10	s.	s.	PROPN
ejpam-6292	15	11	arif	arif	PROPN
ejpam-6292	15	12	)	)	PUNCT
ejpam-6292	15	13	,	,	PUNCT
ejpam-6292	15	14	kamal@psu.edu.sa	kamal@psu.edu.sa	PROPN
ejpam-6292	15	15	(	(	PUNCT
ejpam-6292	15	16	k.	k.	PROPN
ejpam-6292	15	17	abodayeah	abodayeah	PROPN
ejpam-6292	15	18	)	)	PUNCT
ejpam-6292	15	19	,	,	PUNCT
ejpam-6292	15	20	yasir	yasir	PROPN
ejpam-6292	15	21	maths@yahoo.com	maths@yahoo.com	PROPN
ejpam-6292	16	1	(	(	PUNCT
ejpam-6292	16	2	y.	y.	NOUN
ejpam-6292	16	3	nawaz	nawaz	NOUN
ejpam-6292	16	4	)	)	PUNCT
ejpam-6292	16	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6292	16	6	1	1	NUM
ejpam-6292	16	7	copyright	copyright	NOUN
ejpam-6292	16	8	:	:	PUNCT
ejpam-6292	16	9	©	©	PROPN
ejpam-6292	16	10	2025	2025	NUM
ejpam-6292	16	11	the	the	DET
ejpam-6292	16	12	author(s	author(s	NOUN
ejpam-6292	16	13	)	)	PUNCT
ejpam-6292	16	14	.	.	PUNCT
ejpam-6292	17	1	(	(	PUNCT
ejpam-6292	17	2	cc	cc	NOUN
ejpam-6292	17	3	by	by	ADP
ejpam-6292	17	4	-	-	PUNCT
ejpam-6292	17	5	nc	nc	PROPN
ejpam-6292	17	6	4.0	4.0	NUM
ejpam-6292	17	7	)	)	PUNCT
ejpam-6292	17	8	m.	m.	NOUN
ejpam-6292	17	9	s.	s.	PROPN
ejpam-6292	17	10	arif	arif	PROPN
ejpam-6292	17	11	,	,	PUNCT
ejpam-6292	17	12	k.	k.	PROPN
ejpam-6292	17	13	abodayeh	abodayeh	PROPN
ejpam-6292	17	14	,	,	PUNCT
ejpam-6292	17	15	y.	y.	NOUN
ejpam-6292	17	16	nawaz	nawaz	PROPN
ejpam-6292	17	17	/	/	SYM
ejpam-6292	17	18	eur	eur	PROPN
ejpam-6292	17	19	.	.	PUNCT
ejpam-6292	18	1	j.	j.	PROPN
ejpam-6292	18	2	pure	pure	PROPN
ejpam-6292	18	3	appl	appl	PROPN
ejpam-6292	18	4	.	.	PROPN
ejpam-6292	18	5	math	math	PROPN
ejpam-6292	18	6	,	,	PUNCT
ejpam-6292	18	7	18	18	NUM
ejpam-6292	18	8	(	(	PUNCT
ejpam-6292	18	9	3	3	NUM
ejpam-6292	18	10	)	)	PUNCT
ejpam-6292	18	11	(	(	PUNCT
ejpam-6292	18	12	2025	2025	NUM
ejpam-6292	18	13	)	)	PUNCT
ejpam-6292	18	14	,	,	PUNCT
ejpam-6292	18	15	6292	6292	NUM
ejpam-6292	18	16	2	2	NUM
ejpam-6292	18	17	of	of	ADP
ejpam-6292	18	18	24	24	NUM
ejpam-6292	18	19	these	these	DET
ejpam-6292	18	20	developments	development	NOUN
ejpam-6292	18	21	allow	allow	VERB
ejpam-6292	18	22	the	the	DET
ejpam-6292	18	23	modelling	modelling	NOUN
ejpam-6292	18	24	of	of	ADP
ejpam-6292	18	25	uncertainty	uncertainty	NOUN
ejpam-6292	18	26	arising	arise	VERB
ejpam-6292	18	27	from	from	ADP
ejpam-6292	18	28	different	different	ADJ
ejpam-6292	18	29	population	population	NOUN
ejpam-6292	18	30	distributions	distribution	NOUN
ejpam-6292	18	31	,	,	PUNCT
ejpam-6292	18	32	erroneous	erroneous	ADJ
ejpam-6292	18	33	data	datum	NOUN
ejpam-6292	18	34	,	,	PUNCT
ejpam-6292	18	35	and	and	CCONJ
ejpam-6292	18	36	environmental	environmental	ADJ
ejpam-6292	18	37	fluctuations	fluctuation	NOUN
ejpam-6292	18	38	.	.	PUNCT
ejpam-6292	19	1	in	in	ADP
ejpam-6292	19	2	this	this	DET
ejpam-6292	19	3	work	work	NOUN
ejpam-6292	19	4	,	,	PUNCT
ejpam-6292	19	5	we	we	PRON
ejpam-6292	19	6	propose	propose	VERB
ejpam-6292	19	7	a	a	DET
ejpam-6292	19	8	computational	computational	ADJ
ejpam-6292	19	9	method	method	NOUN
ejpam-6292	19	10	for	for	ADP
ejpam-6292	19	11	a	a	DET
ejpam-6292	19	12	fuzzy	fuzzy	ADJ
ejpam-6292	19	13	stochastic	stochastic	NOUN
ejpam-6292	19	14	sir	sir	NOUN
ejpam-6292	19	15	-	-	PUNCT
ejpam-6292	19	16	β	β	PROPN
ejpam-6292	19	17	model	model	NOUN
ejpam-6292	19	18	with	with	ADP
ejpam-6292	19	19	incidence	incidence	NOUN
ejpam-6292	19	20	rate	rate	NOUN
ejpam-6292	19	21	to	to	PART
ejpam-6292	19	22	consider	consider	VERB
ejpam-6292	19	23	the	the	DET
ejpam-6292	19	24	intrinsic	intrinsic	ADJ
ejpam-6292	19	25	uncertainty	uncertainty	NOUN
ejpam-6292	19	26	in	in	ADP
ejpam-6292	19	27	disease	disease	NOUN
ejpam-6292	19	28	transmission	transmission	NOUN
ejpam-6292	19	29	.	.	PUNCT
ejpam-6292	20	1	while	while	SCONJ
ejpam-6292	20	2	the	the	DET
ejpam-6292	20	3	stochastic	stochastic	ADJ
ejpam-6292	20	4	character	character	NOUN
ejpam-6292	20	5	of	of	ADP
ejpam-6292	20	6	the	the	DET
ejpam-6292	20	7	model	model	NOUN
ejpam-6292	20	8	fits	fit	VERB
ejpam-6292	20	9	erratic	erratic	ADJ
ejpam-6292	20	10	changes	change	NOUN
ejpam-6292	20	11	in	in	ADP
ejpam-6292	20	12	infection	infection	NOUN
ejpam-6292	20	13	and	and	CCONJ
ejpam-6292	20	14	recovery	recovery	NOUN
ejpam-6292	20	15	rates	rate	NOUN
ejpam-6292	20	16	,	,	PUNCT
ejpam-6292	20	17	including	include	VERB
ejpam-6292	20	18	fuzzy	fuzzy	ADJ
ejpam-6292	20	19	logic	logic	NOUN
ejpam-6292	20	20	lets	let	VERB
ejpam-6292	20	21	the	the	DET
ejpam-6292	20	22	model	model	NOUN
ejpam-6292	20	23	manage	manage	VERB
ejpam-6292	20	24	imprecise	imprecise	ADV
ejpam-6292	20	25	or	or	CCONJ
ejpam-6292	20	26	vague	vague	ADJ
ejpam-6292	20	27	elements	element	NOUN
ejpam-6292	20	28	like	like	ADP
ejpam-6292	20	29	population	population	NOUN
ejpam-6292	20	30	interactions	interaction	NOUN
ejpam-6292	20	31	and	and	CCONJ
ejpam-6292	20	32	disease	disease	NOUN
ejpam-6292	20	33	transmission	transmission	NOUN
ejpam-6292	20	34	rates	rate	NOUN
ejpam-6292	20	35	.	.	PUNCT
ejpam-6292	21	1	including	include	VERB
ejpam-6292	21	2	non	non	ADJ
ejpam-6292	21	3	-	-	ADJ
ejpam-6292	21	4	linear	linear	ADJ
ejpam-6292	21	5	effects	effect	NOUN
ejpam-6292	21	6	lets	let	VERB
ejpam-6292	21	7	the	the	DET
ejpam-6292	21	8	parameter	parameter	NOUN
ejpam-6292	21	9	reflect	reflect	VERB
ejpam-6292	21	10	a	a	DET
ejpam-6292	21	11	modified	modify	VERB
ejpam-6292	21	12	incidence	incidence	NOUN
ejpam-6292	21	13	rate	rate	NOUN
ejpam-6292	21	14	,	,	PUNCT
ejpam-6292	21	15	allowing	allow	VERB
ejpam-6292	21	16	a	a	DET
ejpam-6292	21	17	more	more	ADV
ejpam-6292	21	18	flexible	flexible	ADJ
ejpam-6292	21	19	approach	approach	NOUN
ejpam-6292	21	20	to	to	ADP
ejpam-6292	21	21	disease	disease	NOUN
ejpam-6292	21	22	transmission	transmission	NOUN
ejpam-6292	21	23	modelling	modelling	NOUN
ejpam-6292	21	24	.	.	PUNCT
ejpam-6292	22	1	this	this	DET
ejpam-6292	22	2	research	research	NOUN
ejpam-6292	22	3	aims	aim	VERB
ejpam-6292	22	4	to	to	PART
ejpam-6292	22	5	:	:	PUNCT
ejpam-6292	22	6	•	•	ADP
ejpam-6292	22	7	develop	develop	VERB
ejpam-6292	22	8	a	a	DET
ejpam-6292	22	9	fuzzy	fuzzy	ADJ
ejpam-6292	22	10	stochastic	stochastic	ADJ
ejpam-6292	22	11	sir	sir	NOUN
ejpam-6292	22	12	-	-	PUNCT
ejpam-6292	22	13	β	β	PROPN
ejpam-6292	22	14	model	model	NOUN
ejpam-6292	22	15	incorporating	incorporate	VERB
ejpam-6292	22	16	random	random	ADJ
ejpam-6292	22	17	perturbations	perturbation	NOUN
ejpam-6292	22	18	and	and	CCONJ
ejpam-6292	22	19	imprecise	imprecise	ADJ
ejpam-6292	22	20	parameters	parameter	NOUN
ejpam-6292	22	21	.	.	PUNCT
ejpam-6292	23	1	•	•	NOUN
ejpam-6292	23	2	design	design	VERB
ejpam-6292	23	3	a	a	DET
ejpam-6292	23	4	computational	computational	ADJ
ejpam-6292	23	5	scheme	scheme	NOUN
ejpam-6292	23	6	to	to	PART
ejpam-6292	23	7	solve	solve	VERB
ejpam-6292	23	8	the	the	DET
ejpam-6292	23	9	proposed	propose	VERB
ejpam-6292	23	10	model	model	NOUN
ejpam-6292	23	11	efficiently	efficiently	ADV
ejpam-6292	23	12	.	.	PUNCT
ejpam-6292	24	1	•	•	NUM
ejpam-6292	24	2	analyze	analyze	VERB
ejpam-6292	24	3	the	the	DET
ejpam-6292	24	4	effects	effect	NOUN
ejpam-6292	24	5	of	of	ADP
ejpam-6292	24	6	stochasticity	stochasticity	NOUN
ejpam-6292	24	7	,	,	PUNCT
ejpam-6292	24	8	fuzziness	fuzziness	NOUN
ejpam-6292	24	9	,	,	PUNCT
ejpam-6292	24	10	and	and	CCONJ
ejpam-6292	24	11	varying	vary	VERB
ejpam-6292	24	12	incidence	incidence	NOUN
ejpam-6292	24	13	rates	rate	NOUN
ejpam-6292	24	14	on	on	ADP
ejpam-6292	24	15	disease	disease	NOUN
ejpam-6292	24	16	spread	spread	VERB
ejpam-6292	24	17	.	.	PUNCT
ejpam-6292	25	1	•	•	NOUN
ejpam-6292	25	2	validate	validate	VERB
ejpam-6292	25	3	the	the	DET
ejpam-6292	25	4	model	model	NOUN
ejpam-6292	25	5	using	use	VERB
ejpam-6292	25	6	numerical	numerical	ADJ
ejpam-6292	25	7	simulations	simulation	NOUN
ejpam-6292	25	8	and	and	CCONJ
ejpam-6292	25	9	real	real	ADJ
ejpam-6292	25	10	-	-	PUNCT
ejpam-6292	25	11	world	world	NOUN
ejpam-6292	25	12	epidemic	epidemic	NOUN
ejpam-6292	25	13	data	datum	NOUN
ejpam-6292	25	14	.	.	PUNCT
ejpam-6292	26	1	mathematical	mathematical	ADJ
ejpam-6292	26	2	models	model	NOUN
ejpam-6292	26	3	became	become	VERB
ejpam-6292	26	4	essential	essential	ADJ
ejpam-6292	26	5	after	after	ADP
ejpam-6292	26	6	mckendrick	mckendrick	NOUN
ejpam-6292	26	7	and	and	CCONJ
ejpam-6292	26	8	kermack	kermack	NOUN
ejpam-6292	26	9	[	[	X
ejpam-6292	26	10	1	1	X
ejpam-6292	26	11	]	]	X
ejpam-6292	26	12	groundbreaking	groundbreake	VERB
ejpam-6292	26	13	work	work	NOUN
ejpam-6292	26	14	.	.	PUNCT
ejpam-6292	27	1	this	this	DET
ejpam-6292	27	2	study	study	NOUN
ejpam-6292	27	3	mostly	mostly	ADV
ejpam-6292	27	4	aims	aim	VERB
ejpam-6292	27	5	to	to	PART
ejpam-6292	27	6	investigate	investigate	VERB
ejpam-6292	27	7	the	the	DET
ejpam-6292	27	8	causes	cause	NOUN
ejpam-6292	27	9	and	and	CCONJ
ejpam-6292	27	10	control	control	NOUN
ejpam-6292	27	11	of	of	ADP
ejpam-6292	27	12	infectious	infectious	ADJ
ejpam-6292	27	13	diseases	disease	NOUN
ejpam-6292	27	14	.	.	PUNCT
ejpam-6292	28	1	the	the	DET
ejpam-6292	28	2	erratic	erratic	ADJ
ejpam-6292	28	3	changes	change	NOUN
ejpam-6292	28	4	in	in	ADP
ejpam-6292	28	5	the	the	DET
ejpam-6292	28	6	external	external	ADJ
ejpam-6292	28	7	environment	environment	NOUN
ejpam-6292	28	8	in	in	ADP
ejpam-6292	28	9	ecological	ecological	ADJ
ejpam-6292	28	10	systems	system	NOUN
ejpam-6292	28	11	always	always	ADV
ejpam-6292	28	12	affect	affect	VERB
ejpam-6292	28	13	the	the	DET
ejpam-6292	28	14	power	power	NOUN
ejpam-6292	28	15	of	of	ADP
ejpam-6292	28	16	humans	human	NOUN
ejpam-6292	28	17	.	.	PUNCT
ejpam-6292	29	1	models	model	NOUN
ejpam-6292	29	2	of	of	ADP
ejpam-6292	29	3	the	the	DET
ejpam-6292	29	4	rate	rate	NOUN
ejpam-6292	29	5	of	of	ADP
ejpam-6292	29	6	disease	disease	NOUN
ejpam-6292	29	7	transmission	transmission	NOUN
ejpam-6292	29	8	during	during	ADP
ejpam-6292	29	9	epidemics	epidemic	NOUN
ejpam-6292	29	10	have	have	AUX
ejpam-6292	29	11	been	be	AUX
ejpam-6292	29	12	modified	modify	VERB
ejpam-6292	29	13	to	to	PART
ejpam-6292	29	14	consider	consider	VERB
ejpam-6292	29	15	numerous	numerous	ADJ
ejpam-6292	29	16	environmental	environmental	ADJ
ejpam-6292	29	17	aspects	aspect	NOUN
ejpam-6292	29	18	,	,	PUNCT
ejpam-6292	29	19	including	include	VERB
ejpam-6292	29	20	the	the	DET
ejpam-6292	29	21	amount	amount	NOUN
ejpam-6292	29	22	of	of	ADP
ejpam-6292	29	23	uv	uv	NOUN
ejpam-6292	29	24	light	light	NOUN
ejpam-6292	29	25	and	and	CCONJ
ejpam-6292	29	26	the	the	DET
ejpam-6292	29	27	fact	fact	NOUN
ejpam-6292	29	28	that	that	SCONJ
ejpam-6292	29	29	many	many	ADJ
ejpam-6292	29	30	viruses	virus	NOUN
ejpam-6292	29	31	and	and	CCONJ
ejpam-6292	29	32	bacteria	bacteria	NOUN
ejpam-6292	29	33	live	live	VERB
ejpam-6292	29	34	and	and	CCONJ
ejpam-6292	29	35	spread	spread	VERB
ejpam-6292	29	36	under	under	ADP
ejpam-6292	29	37	moist	moist	ADJ
ejpam-6292	29	38	conditions	condition	NOUN
ejpam-6292	29	39	[	[	X
ejpam-6292	29	40	2–4	2–4	NUM
ejpam-6292	29	41	]	]	PUNCT
ejpam-6292	29	42	.	.	PUNCT
ejpam-6292	30	1	changes	change	NOUN
ejpam-6292	30	2	in	in	ADP
ejpam-6292	30	3	the	the	DET
ejpam-6292	30	4	range	range	NOUN
ejpam-6292	30	5	of	of	ADP
ejpam-6292	30	6	food	food	NOUN
ejpam-6292	30	7	sources	source	NOUN
ejpam-6292	30	8	are	be	AUX
ejpam-6292	30	9	influenced	influence	VERB
ejpam-6292	30	10	by	by	ADP
ejpam-6292	30	11	unpredictable	unpredictable	ADJ
ejpam-6292	30	12	oscillations	oscillation	NOUN
ejpam-6292	30	13	in	in	ADP
ejpam-6292	30	14	precipitation	precipitation	NOUN
ejpam-6292	30	15	,	,	PUNCT
ejpam-6292	30	16	which	which	PRON
ejpam-6292	30	17	in	in	ADP
ejpam-6292	30	18	turn	turn	NOUN
ejpam-6292	30	19	are	be	AUX
ejpam-6292	30	20	influenced	influence	VERB
ejpam-6292	30	21	by	by	ADP
ejpam-6292	30	22	environmental	environmental	ADJ
ejpam-6292	30	23	impacts	impact	NOUN
ejpam-6292	30	24	and	and	CCONJ
ejpam-6292	30	25	population	population	NOUN
ejpam-6292	30	26	growth	growth	NOUN
ejpam-6292	30	27	[	[	X
ejpam-6292	30	28	5	5	NUM
ejpam-6292	30	29	]	]	PUNCT
ejpam-6292	30	30	.	.	PUNCT
ejpam-6292	31	1	one	one	NUM
ejpam-6292	31	2	widely	widely	ADV
ejpam-6292	31	3	used	use	VERB
ejpam-6292	31	4	approach	approach	NOUN
ejpam-6292	31	5	in	in	ADP
ejpam-6292	31	6	the	the	DET
ejpam-6292	31	7	literature	literature	NOUN
ejpam-6292	31	8	involves	involve	VERB
ejpam-6292	31	9	randomly	randomly	ADV
ejpam-6292	31	10	switching	switch	VERB
ejpam-6292	31	11	modes	mode	NOUN
ejpam-6292	31	12	in	in	ADP
ejpam-6292	31	13	a	a	DET
ejpam-6292	31	14	finite	finite	ADJ
ejpam-6292	31	15	state	state	NOUN
ejpam-6292	31	16	such	such	ADJ
ejpam-6292	31	17	that	that	SCONJ
ejpam-6292	31	18	the	the	DET
ejpam-6292	31	19	continuous	continuous	ADJ
ejpam-6292	31	20	-	-	PUNCT
ejpam-6292	31	21	time	time	NOUN
ejpam-6292	31	22	values	value	NOUN
ejpam-6292	31	23	of	of	ADP
ejpam-6292	31	24	the	the	DET
ejpam-6292	31	25	markov	markov	NOUN
ejpam-6292	31	26	chain	chain	NOUN
ejpam-6292	31	27	are	be	AUX
ejpam-6292	31	28	separated	separate	VERB
ejpam-6292	31	29	from	from	ADP
ejpam-6292	31	30	the	the	DET
ejpam-6292	31	31	values	value	NOUN
ejpam-6292	31	32	in	in	ADP
ejpam-6292	31	33	space	space	NOUN
ejpam-6292	31	34	.	.	PUNCT
ejpam-6292	32	1	this	this	DET
ejpam-6292	32	2	separation	separation	NOUN
ejpam-6292	32	3	modifies	modify	VERB
ejpam-6292	32	4	the	the	DET
ejpam-6292	32	5	fundamental	fundamental	ADJ
ejpam-6292	32	6	parameters	parameter	NOUN
ejpam-6292	32	7	connected	connect	VERB
ejpam-6292	32	8	with	with	ADP
ejpam-6292	32	9	the	the	DET
ejpam-6292	32	10	markov	markov	NOUN
ejpam-6292	32	11	chain	chain	NOUN
ejpam-6292	32	12	state	state	NOUN
ejpam-6292	32	13	flipping	flipping	NOUN
ejpam-6292	32	14	[	[	X
ejpam-6292	32	15	6–8	6–8	NOUN
ejpam-6292	32	16	]	]	X
ejpam-6292	32	17	.	.	PUNCT
ejpam-6292	33	1	a	a	DET
ejpam-6292	33	2	mathematical	mathematical	ADJ
ejpam-6292	33	3	equation	equation	NOUN
ejpam-6292	33	4	helps	help	VERB
ejpam-6292	33	5	the	the	DET
ejpam-6292	33	6	dynamical	dynamical	ADJ
ejpam-6292	33	7	system	system	NOUN
ejpam-6292	33	8	to	to	PART
ejpam-6292	33	9	become	become	VERB
ejpam-6292	33	10	a	a	DET
ejpam-6292	33	11	piecewise	piecewise	NOUN
ejpam-6292	33	12	deterministic	deterministic	ADJ
ejpam-6292	33	13	markov	markov	NOUN
ejpam-6292	33	14	process	process	NOUN
ejpam-6292	33	15	.	.	PUNCT
ejpam-6292	34	1	models	model	NOUN
ejpam-6292	34	2	of	of	ADP
ejpam-6292	34	3	epidemics	epidemic	NOUN
ejpam-6292	34	4	with	with	ADP
ejpam-6292	34	5	deterministic	deterministic	ADJ
ejpam-6292	34	6	main	main	ADJ
ejpam-6292	34	7	parameters	parameter	NOUN
ejpam-6292	34	8	are	be	AUX
ejpam-6292	34	9	unlikely	unlikely	ADJ
ejpam-6292	34	10	to	to	PART
ejpam-6292	34	11	be	be	AUX
ejpam-6292	34	12	applicable	applicable	ADJ
ejpam-6292	34	13	to	to	ADP
ejpam-6292	34	14	the	the	DET
ejpam-6292	34	15	actual	actual	ADJ
ejpam-6292	34	16	world	world	NOUN
ejpam-6292	34	17	because	because	SCONJ
ejpam-6292	34	18	they	they	PRON
ejpam-6292	34	19	are	be	AUX
ejpam-6292	34	20	based	base	VERB
ejpam-6292	34	21	on	on	ADP
ejpam-6292	34	22	biological	biological	ADJ
ejpam-6292	34	23	systems	system	NOUN
ejpam-6292	34	24	and	and	CCONJ
ejpam-6292	34	25	subject	subject	NOUN
ejpam-6292	34	26	to	to	ADP
ejpam-6292	34	27	stochastic	stochastic	ADJ
ejpam-6292	34	28	environmental	environmental	ADJ
ejpam-6292	34	29	conditions	condition	NOUN
ejpam-6292	34	30	.	.	PUNCT
ejpam-6292	35	1	analysis	analysis	NOUN
ejpam-6292	35	2	of	of	ADP
ejpam-6292	35	3	the	the	DET
ejpam-6292	35	4	disease	disease	NOUN
ejpam-6292	35	5	-	-	PUNCT
ejpam-6292	35	6	causing	cause	VERB
ejpam-6292	35	7	effects	effect	NOUN
ejpam-6292	35	8	of	of	ADP
ejpam-6292	35	9	abnormal	abnormal	ADJ
ejpam-6292	35	10	mutations	mutation	NOUN
ejpam-6292	35	11	in	in	ADP
ejpam-6292	35	12	naturally	naturally	ADV
ejpam-6292	35	13	occurring	occur	VERB
ejpam-6292	35	14	mental	mental	ADJ
ejpam-6292	35	15	states	state	NOUN
ejpam-6292	35	16	on	on	ADP
ejpam-6292	35	17	infection	infection	NOUN
ejpam-6292	35	18	transmission	transmission	NOUN
ejpam-6292	35	19	in	in	ADP
ejpam-6292	35	20	the	the	DET
ejpam-6292	35	21	target	target	NOUN
ejpam-6292	35	22	population	population	NOUN
ejpam-6292	35	23	is	be	AUX
ejpam-6292	35	24	crucial	crucial	ADJ
ejpam-6292	35	25	.	.	PUNCT
ejpam-6292	36	1	despite	despite	SCONJ
ejpam-6292	36	2	its	its	PRON
ejpam-6292	36	3	obvious	obvious	ADJ
ejpam-6292	36	4	importance	importance	NOUN
ejpam-6292	36	5	,	,	PUNCT
ejpam-6292	36	6	environmental	environmental	ADJ
ejpam-6292	36	7	noise	noise	NOUN
ejpam-6292	36	8	has	have	AUX
ejpam-6292	36	9	received	receive	VERB
ejpam-6292	36	10	scant	scant	ADJ
ejpam-6292	36	11	attention	attention	NOUN
ejpam-6292	36	12	in	in	ADP
ejpam-6292	36	13	infectious	infectious	ADJ
ejpam-6292	36	14	illness	illness	NOUN
ejpam-6292	36	15	literature	literature	NOUN
ejpam-6292	36	16	.	.	PUNCT
ejpam-6292	37	1	an	an	DET
ejpam-6292	37	2	epidemic	epidemic	NOUN
ejpam-6292	37	3	sis	sis	NOUN
ejpam-6292	37	4	model	model	NOUN
ejpam-6292	37	5	for	for	ADP
ejpam-6292	37	6	markovian	markovian	ADJ
ejpam-6292	37	7	switching	switching	NOUN
ejpam-6292	37	8	was	be	AUX
ejpam-6292	37	9	first	first	ADV
ejpam-6292	37	10	developed	develop	VERB
ejpam-6292	37	11	by	by	ADP
ejpam-6292	37	12	gray	gray	ADJ
ejpam-6292	37	13	,	,	PUNCT
ejpam-6292	37	14	greenhalgh	greenhalgh	PROPN
ejpam-6292	37	15	,	,	PUNCT
ejpam-6292	37	16	mao	mao	NOUN
ejpam-6292	37	17	et	et	PROPN
ejpam-6292	37	18	al	al	PROPN
ejpam-6292	37	19	.	.	PUNCT
ejpam-6292	38	1	[	[	X
ejpam-6292	38	2	9	9	NUM
ejpam-6292	38	3	]	]	PUNCT
ejpam-6292	38	4	.	.	PUNCT
ejpam-6292	39	1	some	some	DET
ejpam-6292	39	2	writers	writer	NOUN
ejpam-6292	39	3	have	have	AUX
ejpam-6292	39	4	shown	show	VERB
ejpam-6292	39	5	that	that	SCONJ
ejpam-6292	39	6	using	use	VERB
ejpam-6292	39	7	irregular	irregular	ADJ
ejpam-6292	39	8	switching	switching	NOUN
ejpam-6292	39	9	of	of	ADP
ejpam-6292	39	10	environmental	environmental	ADJ
ejpam-6292	39	11	regimes	regime	NOUN
ejpam-6292	39	12	yields	yield	NOUN
ejpam-6292	39	13	trustworthy	trustworthy	ADJ
ejpam-6292	39	14	findings	finding	NOUN
ejpam-6292	39	15	for	for	ADP
ejpam-6292	39	16	time	time	NOUN
ejpam-6292	39	17	discretization	discretization	NOUN
ejpam-6292	39	18	[	[	X
ejpam-6292	39	19	10	10	NUM
ejpam-6292	39	20	,	,	PUNCT
ejpam-6292	39	21	11	11	NUM
ejpam-6292	39	22	]	]	PUNCT
ejpam-6292	39	23	.	.	PUNCT
ejpam-6292	40	1	many	many	ADJ
ejpam-6292	40	2	writers	writer	NOUN
ejpam-6292	40	3	have	have	AUX
ejpam-6292	40	4	utilized	utilize	VERB
ejpam-6292	40	5	lscm	lscm	NOUN
ejpam-6292	40	6	to	to	ADP
ejpam-6292	40	7	approximate	approximate	ADJ
ejpam-6292	40	8	solutions	solution	NOUN
ejpam-6292	40	9	of	of	ADP
ejpam-6292	40	10	stochastic	stochastic	ADJ
ejpam-6292	40	11	differential	differential	NOUN
ejpam-6292	40	12	models	model	NOUN
ejpam-6292	40	13	[	[	X
ejpam-6292	40	14	12	12	NUM
ejpam-6292	40	15	,	,	PUNCT
ejpam-6292	40	16	13	13	NUM
ejpam-6292	40	17	]	]	PUNCT
ejpam-6292	40	18	.	.	PUNCT
ejpam-6292	41	1	the	the	DET
ejpam-6292	41	2	numerical	numerical	ADJ
ejpam-6292	41	3	approximation	approximation	NOUN
ejpam-6292	41	4	of	of	ADP
ejpam-6292	41	5	integrals	integral	NOUN
ejpam-6292	41	6	and	and	CCONJ
ejpam-6292	41	7	differential	differential	ADJ
ejpam-6292	41	8	equations	equation	NOUN
ejpam-6292	41	9	are	be	AUX
ejpam-6292	41	10	two	two	NUM
ejpam-6292	41	11	other	other	ADJ
ejpam-6292	41	12	applications	application	NOUN
ejpam-6292	41	13	of	of	ADP
ejpam-6292	41	14	legendre	legendre	PROPN
ejpam-6292	41	15	polynomials	polynomial	NOUN
ejpam-6292	41	16	[	[	X
ejpam-6292	41	17	14–18	14–18	NUM
ejpam-6292	41	18	]	]	PUNCT
ejpam-6292	41	19	.	.	PUNCT
ejpam-6292	42	1	m.	m.	PROPN
ejpam-6292	42	2	s.	s.	PROPN
ejpam-6292	42	3	arif	arif	PROPN
ejpam-6292	42	4	,	,	PUNCT
ejpam-6292	42	5	k.	k.	PROPN
ejpam-6292	42	6	abodayeh	abodayeh	PROPN
ejpam-6292	42	7	,	,	PUNCT
ejpam-6292	42	8	y.	y.	NOUN
ejpam-6292	42	9	nawaz	nawaz	PROPN
ejpam-6292	42	10	/	/	SYM
ejpam-6292	42	11	eur	eur	PROPN
ejpam-6292	42	12	.	.	PUNCT
ejpam-6292	43	1	j.	j.	PROPN
ejpam-6292	43	2	pure	pure	PROPN
ejpam-6292	43	3	appl	appl	PROPN
ejpam-6292	43	4	.	.	PROPN
ejpam-6292	43	5	math	math	PROPN
ejpam-6292	43	6	,	,	PUNCT
ejpam-6292	43	7	18	18	NUM
ejpam-6292	43	8	(	(	PUNCT
ejpam-6292	43	9	3	3	NUM
ejpam-6292	43	10	)	)	PUNCT
ejpam-6292	43	11	(	(	PUNCT
ejpam-6292	43	12	2025	2025	NUM
ejpam-6292	43	13	)	)	PUNCT
ejpam-6292	43	14	,	,	PUNCT
ejpam-6292	43	15	6292	6292	NUM
ejpam-6292	43	16	3	3	NUM
ejpam-6292	43	17	of	of	ADP
ejpam-6292	43	18	24	24	NUM
ejpam-6292	43	19	according	accord	VERB
ejpam-6292	43	20	to	to	ADP
ejpam-6292	43	21	[	[	X
ejpam-6292	43	22	19	19	NUM
ejpam-6292	43	23	]	]	PUNCT
ejpam-6292	43	24	,	,	PUNCT
ejpam-6292	43	25	a	a	DET
ejpam-6292	43	26	deterministic	deterministic	ADJ
ejpam-6292	43	27	sirs	sir	NOUN
ejpam-6292	43	28	model	model	NOUN
ejpam-6292	43	29	examines	examine	VERB
ejpam-6292	43	30	the	the	DET
ejpam-6292	43	31	impact	impact	NOUN
ejpam-6292	43	32	of	of	ADP
ejpam-6292	43	33	markov	markov	NOUN
ejpam-6292	43	34	switching	switching	NOUN
ejpam-6292	43	35	.	.	PUNCT
ejpam-6292	44	1	because	because	SCONJ
ejpam-6292	44	2	of	of	ADP
ejpam-6292	44	3	the	the	DET
ejpam-6292	44	4	covid-19	covid-19	PROPN
ejpam-6292	44	5	pandemic	pandemic	NOUN
ejpam-6292	44	6	,	,	PUNCT
ejpam-6292	44	7	sirs	sir	VERB
ejpam-6292	44	8	stochastic	stochastic	NOUN
ejpam-6292	44	9	models	model	NOUN
ejpam-6292	44	10	are	be	AUX
ejpam-6292	44	11	now	now	ADV
ejpam-6292	44	12	widely	widely	ADV
ejpam-6292	44	13	used	use	VERB
ejpam-6292	44	14	to	to	PART
ejpam-6292	44	15	research	research	VERB
ejpam-6292	44	16	the	the	DET
ejpam-6292	44	17	spread	spread	NOUN
ejpam-6292	44	18	of	of	ADP
ejpam-6292	44	19	the	the	DET
ejpam-6292	44	20	virus	virus	NOUN
ejpam-6292	44	21	.	.	PUNCT
ejpam-6292	45	1	an	an	DET
ejpam-6292	45	2	improved	improved	ADJ
ejpam-6292	45	3	model	model	NOUN
ejpam-6292	45	4	for	for	ADP
ejpam-6292	45	5	covid-19	covid-19	PROPN
ejpam-6292	45	6	transmission	transmission	NOUN
ejpam-6292	45	7	was	be	AUX
ejpam-6292	45	8	developed	develop	VERB
ejpam-6292	45	9	,	,	PUNCT
ejpam-6292	45	10	for	for	ADP
ejpam-6292	45	11	instance	instance	NOUN
ejpam-6292	45	12	,	,	PUNCT
ejpam-6292	45	13	by	by	ADP
ejpam-6292	45	14	applying	apply	VERB
ejpam-6292	45	15	the	the	DET
ejpam-6292	45	16	traditional	traditional	ADJ
ejpam-6292	45	17	deterministic	deterministic	ADJ
ejpam-6292	45	18	sir	sir	NOUN
ejpam-6292	45	19	epidemic	epidemic	NOUN
ejpam-6292	45	20	model	model	NOUN
ejpam-6292	45	21	[	[	X
ejpam-6292	45	22	20	20	NUM
ejpam-6292	45	23	]	]	PUNCT
ejpam-6292	45	24	.	.	PUNCT
ejpam-6292	46	1	using	use	VERB
ejpam-6292	46	2	saudi	saudi	PROPN
ejpam-6292	46	3	arabia	arabia	PROPN
ejpam-6292	46	4	as	as	ADP
ejpam-6292	46	5	a	a	DET
ejpam-6292	46	6	case	case	NOUN
ejpam-6292	46	7	study	study	NOUN
ejpam-6292	46	8	,	,	PUNCT
ejpam-6292	46	9	khan	khan	PROPN
ejpam-6292	46	10	et	et	PROPN
ejpam-6292	46	11	al	al	PROPN
ejpam-6292	46	12	.	.	PUNCT
ejpam-6292	47	1	[	[	X
ejpam-6292	47	2	21	21	NUM
ejpam-6292	47	3	]	]	X
ejpam-6292	47	4	utilized	utilize	VERB
ejpam-6292	47	5	differential	differential	NOUN
ejpam-6292	47	6	equations	equation	NOUN
ejpam-6292	47	7	of	of	ADP
ejpam-6292	47	8	fractional	fractional	ADJ
ejpam-6292	47	9	order	order	NOUN
ejpam-6292	47	10	to	to	PART
ejpam-6292	47	11	model	model	VERB
ejpam-6292	47	12	covid-19	covid-19	PROPN
ejpam-6292	47	13	mathematically	mathematically	ADV
ejpam-6292	47	14	and	and	CCONJ
ejpam-6292	47	15	offered	offer	VERB
ejpam-6292	47	16	a	a	DET
ejpam-6292	47	17	complete	complete	ADJ
ejpam-6292	47	18	analysis	analysis	NOUN
ejpam-6292	47	19	.	.	PUNCT
ejpam-6292	48	1	atangana	atangana	PROPN
ejpam-6292	48	2	,	,	PUNCT
ejpam-6292	48	3	seda	seda	NOUN
ejpam-6292	48	4	,	,	PUNCT
ejpam-6292	48	5	and	and	CCONJ
ejpam-6292	48	6	prolonger	prolonger	PROPN
ejpam-6292	48	7	’s	’s	PART
ejpam-6292	48	8	method	method	NOUN
ejpam-6292	48	9	was	be	AUX
ejpam-6292	48	10	based	base	VERB
ejpam-6292	48	11	on	on	ADP
ejpam-6292	48	12	integral	integral	ADJ
ejpam-6292	48	13	and	and	CCONJ
ejpam-6292	48	14	piecewise	piecewise	NOUN
ejpam-6292	48	15	differential	differential	ADJ
ejpam-6292	48	16	operators	operator	NOUN
ejpam-6292	48	17	[	[	X
ejpam-6292	48	18	22	22	NUM
ejpam-6292	48	19	,	,	PUNCT
ejpam-6292	48	20	23	23	NUM
ejpam-6292	48	21	]	]	PUNCT
ejpam-6292	48	22	.	.	PUNCT
ejpam-6292	49	1	the	the	DET
ejpam-6292	49	2	dynamics	dynamic	NOUN
ejpam-6292	49	3	of	of	ADP
ejpam-6292	49	4	covid-19	covid-19	PROPN
ejpam-6292	49	5	are	be	AUX
ejpam-6292	49	6	analysed	analyse	VERB
ejpam-6292	49	7	via	via	ADP
ejpam-6292	49	8	the	the	DET
ejpam-6292	49	9	fuzzy	fuzzy	ADJ
ejpam-6292	49	10	caputo	caputo	PROPN
ejpam-6292	49	11	approach	approach	NOUN
ejpam-6292	49	12	in	in	ADP
ejpam-6292	49	13	[	[	X
ejpam-6292	49	14	24	24	NUM
ejpam-6292	49	15	]	]	PUNCT
ejpam-6292	49	16	.	.	PUNCT
ejpam-6292	50	1	the	the	DET
ejpam-6292	50	2	authors	author	NOUN
ejpam-6292	50	3	of	of	ADP
ejpam-6292	50	4	these	these	DET
ejpam-6292	50	5	works	work	NOUN
ejpam-6292	50	6	developed	develop	VERB
ejpam-6292	50	7	mathematical	mathematical	ADJ
ejpam-6292	50	8	models	model	NOUN
ejpam-6292	50	9	for	for	ADP
ejpam-6292	50	10	covid19	covid19	NOUN
ejpam-6292	50	11	transmission	transmission	NOUN
ejpam-6292	50	12	via	via	ADP
ejpam-6292	50	13	deterministic	deterministic	ADJ
ejpam-6292	50	14	methods	method	NOUN
ejpam-6292	50	15	.	.	PUNCT
ejpam-6292	51	1	system	system	NOUN
ejpam-6292	51	2	parameters	parameter	NOUN
ejpam-6292	51	3	are	be	AUX
ejpam-6292	51	4	variable	variable	ADJ
ejpam-6292	51	5	,	,	PUNCT
ejpam-6292	51	6	oscillating	oscillate	VERB
ejpam-6292	51	7	around	around	ADP
ejpam-6292	51	8	a	a	DET
ejpam-6292	51	9	mean	mean	ADJ
ejpam-6292	51	10	value	value	NOUN
ejpam-6292	51	11	,	,	PUNCT
ejpam-6292	51	12	which	which	PRON
ejpam-6292	51	13	constrains	constrain	VERB
ejpam-6292	51	14	the	the	DET
ejpam-6292	51	15	capacity	capacity	NOUN
ejpam-6292	51	16	of	of	ADP
ejpam-6292	51	17	these	these	DET
ejpam-6292	51	18	models	model	NOUN
ejpam-6292	51	19	to	to	PART
ejpam-6292	51	20	represent	represent	VERB
ejpam-6292	51	21	reality	reality	NOUN
ejpam-6292	51	22	compared	compare	VERB
ejpam-6292	51	23	to	to	ADP
ejpam-6292	51	24	stochastic	stochastic	ADJ
ejpam-6292	51	25	models	model	NOUN
ejpam-6292	51	26	accurately	accurately	ADV
ejpam-6292	51	27	[	[	X
ejpam-6292	51	28	25	25	NUM
ejpam-6292	51	29	]	]	PUNCT
ejpam-6292	51	30	.	.	PUNCT
ejpam-6292	52	1	the	the	DET
ejpam-6292	52	2	integrability	integrability	NOUN
ejpam-6292	52	3	of	of	ADP
ejpam-6292	52	4	a	a	DET
ejpam-6292	52	5	sirs	sir	NOUN
ejpam-6292	52	6	stochastic	stochastic	ADJ
ejpam-6292	52	7	differential	differential	ADJ
ejpam-6292	52	8	equation	equation	NOUN
ejpam-6292	52	9	is	be	AUX
ejpam-6292	52	10	demonstrated	demonstrate	VERB
ejpam-6292	52	11	to	to	PART
ejpam-6292	52	12	be	be	AUX
ejpam-6292	52	13	associated	associate	VERB
ejpam-6292	52	14	with	with	ADP
ejpam-6292	52	15	its	its	PRON
ejpam-6292	52	16	lie	lie	NOUN
ejpam-6292	52	17	symmetry	symmetry	NOUN
ejpam-6292	52	18	in	in	ADP
ejpam-6292	52	19	[	[	X
ejpam-6292	52	20	26	26	NUM
ejpam-6292	52	21	]	]	PUNCT
ejpam-6292	52	22	.	.	PUNCT
ejpam-6292	53	1	the	the	DET
ejpam-6292	53	2	lie	lie	NOUN
ejpam-6292	53	3	point	point	NOUN
ejpam-6292	53	4	symmetries	symmetry	NOUN
ejpam-6292	53	5	of	of	ADP
ejpam-6292	53	6	the	the	DET
ejpam-6292	53	7	stochastic	stochastic	ADJ
ejpam-6292	53	8	sirs	sir	NOUN
ejpam-6292	53	9	model	model	NOUN
ejpam-6292	53	10	are	be	AUX
ejpam-6292	53	11	identified	identify	VERB
ejpam-6292	53	12	using	use	VERB
ejpam-6292	53	13	the	the	DET
ejpam-6292	53	14	derived	derived	ADJ
ejpam-6292	53	15	equation	equation	NOUN
ejpam-6292	53	16	.	.	PUNCT
ejpam-6292	54	1	a	a	DET
ejpam-6292	54	2	unique	unique	ADJ
ejpam-6292	54	3	viable	viable	ADJ
ejpam-6292	54	4	solution	solution	NOUN
ejpam-6292	54	5	is	be	AUX
ejpam-6292	54	6	demonstrated	demonstrate	VERB
ejpam-6292	54	7	and	and	CCONJ
ejpam-6292	54	8	the	the	DET
ejpam-6292	54	9	corresponding	correspond	VERB
ejpam-6292	54	10	message	message	NOUN
ejpam-6292	54	11	-	-	PUNCT
ejpam-6292	54	12	passing	pass	VERB
ejpam-6292	54	13	system	system	NOUN
ejpam-6292	54	14	of	of	ADP
ejpam-6292	54	15	equations	equation	NOUN
ejpam-6292	54	16	is	be	AUX
ejpam-6292	54	17	presented	present	VERB
ejpam-6292	54	18	.	.	PUNCT
ejpam-6292	55	1	in	in	ADP
ejpam-6292	55	2	the	the	DET
ejpam-6292	55	3	case	case	NOUN
ejpam-6292	55	4	of	of	ADP
ejpam-6292	55	5	a	a	DET
ejpam-6292	55	6	symmetric	symmetric	ADJ
ejpam-6292	55	7	graph	graph	NOUN
ejpam-6292	55	8	(	(	PUNCT
ejpam-6292	55	9	network	network	NOUN
ejpam-6292	55	10	)	)	PUNCT
ejpam-6292	55	11	with	with	ADP
ejpam-6292	55	12	a	a	DET
ejpam-6292	55	13	homogeneous	homogeneous	ADJ
ejpam-6292	55	14	special	special	ADJ
ejpam-6292	55	15	condition	condition	NOUN
ejpam-6292	55	16	,	,	PUNCT
ejpam-6292	55	17	a	a	DET
ejpam-6292	55	18	generalized	generalized	ADJ
ejpam-6292	55	19	upper	upper	ADJ
ejpam-6292	55	20	limit	limit	NOUN
ejpam-6292	55	21	is	be	AUX
ejpam-6292	55	22	established	establish	VERB
ejpam-6292	55	23	for	for	ADP
ejpam-6292	55	24	the	the	DET
ejpam-6292	55	25	projected	project	VERB
ejpam-6292	55	26	epidemic	epidemic	NOUN
ejpam-6292	55	27	size	size	NOUN
ejpam-6292	55	28	at	at	ADP
ejpam-6292	55	29	a	a	DET
ejpam-6292	55	30	specific	specific	ADJ
ejpam-6292	55	31	time	time	NOUN
ejpam-6292	55	32	t	t	X
ejpam-6292	55	33	>	>	X
ejpam-6292	55	34	0	0	PUNCT
ejpam-6292	56	1	[	[	X
ejpam-6292	56	2	27	27	NUM
ejpam-6292	56	3	]	]	PUNCT
ejpam-6292	56	4	.	.	PUNCT
ejpam-6292	57	1	in	in	ADP
ejpam-6292	57	2	the	the	DET
ejpam-6292	57	3	actual	actual	ADJ
ejpam-6292	57	4	world	world	NOUN
ejpam-6292	57	5	,	,	PUNCT
ejpam-6292	57	6	exogenous	exogenous	ADJ
ejpam-6292	57	7	volatility	volatility	NOUN
ejpam-6292	57	8	is	be	AUX
ejpam-6292	57	9	one	one	NUM
ejpam-6292	57	10	of	of	ADP
ejpam-6292	57	11	the	the	DET
ejpam-6292	57	12	main	main	ADJ
ejpam-6292	57	13	factors	factor	NOUN
ejpam-6292	57	14	in	in	ADP
ejpam-6292	57	15	the	the	DET
ejpam-6292	57	16	spread	spread	NOUN
ejpam-6292	57	17	of	of	ADP
ejpam-6292	57	18	epidemic	epidemic	NOUN
ejpam-6292	57	19	diseases	disease	NOUN
ejpam-6292	57	20	.	.	PUNCT
ejpam-6292	58	1	since	since	SCONJ
ejpam-6292	58	2	it	it	PRON
ejpam-6292	58	3	is	be	AUX
ejpam-6292	58	4	crucial	crucial	ADJ
ejpam-6292	58	5	to	to	PART
ejpam-6292	58	6	incorporate	incorporate	VERB
ejpam-6292	58	7	unpredictability	unpredictability	NOUN
ejpam-6292	58	8	into	into	ADP
ejpam-6292	58	9	the	the	DET
ejpam-6292	58	10	model	model	NOUN
ejpam-6292	58	11	,	,	PUNCT
ejpam-6292	58	12	stochastic	stochastic	ADJ
ejpam-6292	58	13	sirs	sir	NOUN
ejpam-6292	58	14	models	model	NOUN
ejpam-6292	58	15	are	be	AUX
ejpam-6292	58	16	seen	see	VERB
ejpam-6292	58	17	as	as	ADP
ejpam-6292	58	18	more	more	ADV
ejpam-6292	58	19	realistic	realistic	ADJ
ejpam-6292	58	20	and	and	CCONJ
ejpam-6292	58	21	practical	practical	ADJ
ejpam-6292	58	22	for	for	ADP
ejpam-6292	58	23	studying	study	VERB
ejpam-6292	58	24	and	and	CCONJ
ejpam-6292	58	25	simulating	simulate	VERB
ejpam-6292	58	26	the	the	DET
ejpam-6292	58	27	evaluation	evaluation	NOUN
ejpam-6292	58	28	of	of	ADP
ejpam-6292	58	29	epidemic	epidemic	NOUN
ejpam-6292	58	30	diseases	disease	NOUN
ejpam-6292	58	31	.	.	PUNCT
ejpam-6292	59	1	the	the	DET
ejpam-6292	59	2	use	use	NOUN
ejpam-6292	59	3	of	of	ADP
ejpam-6292	59	4	stochastic	stochastic	NOUN
ejpam-6292	59	5	sirs	sir	NOUN
ejpam-6292	59	6	models	model	NOUN
ejpam-6292	59	7	in	in	ADP
ejpam-6292	59	8	disease	disease	NOUN
ejpam-6292	59	9	surveillance	surveillance	NOUN
ejpam-6292	59	10	has	have	AUX
ejpam-6292	59	11	been	be	AUX
ejpam-6292	59	12	the	the	DET
ejpam-6292	59	13	subject	subject	NOUN
ejpam-6292	59	14	of	of	ADP
ejpam-6292	59	15	extensive	extensive	ADJ
ejpam-6292	59	16	research	research	NOUN
ejpam-6292	59	17	[	[	X
ejpam-6292	59	18	28–32	28–32	NUM
ejpam-6292	59	19	]	]	PUNCT
ejpam-6292	59	20	.	.	PUNCT
ejpam-6292	60	1	the	the	DET
ejpam-6292	60	2	parameters	parameter	NOUN
ejpam-6292	60	3	used	use	VERB
ejpam-6292	60	4	in	in	ADP
ejpam-6292	60	5	epidemic	epidemic	NOUN
ejpam-6292	60	6	models	model	NOUN
ejpam-6292	60	7	are	be	AUX
ejpam-6292	60	8	not	not	PART
ejpam-6292	60	9	precise	precise	ADJ
ejpam-6292	60	10	enough	enough	ADV
ejpam-6292	60	11	to	to	PART
ejpam-6292	60	12	account	account	VERB
ejpam-6292	60	13	for	for	ADP
ejpam-6292	60	14	populationwide	populationwide	ADJ
ejpam-6292	60	15	differences	difference	NOUN
ejpam-6292	60	16	in	in	ADP
ejpam-6292	60	17	vulnerability	vulnerability	NOUN
ejpam-6292	60	18	,	,	PUNCT
ejpam-6292	60	19	exposure	exposure	NOUN
ejpam-6292	60	20	,	,	PUNCT
ejpam-6292	60	21	infectiousness	infectiousness	NOUN
ejpam-6292	60	22	,	,	PUNCT
ejpam-6292	60	23	and	and	CCONJ
ejpam-6292	60	24	recovery	recovery	NOUN
ejpam-6292	60	25	.	.	PUNCT
ejpam-6292	61	1	considerations	consideration	NOUN
ejpam-6292	61	2	like	like	ADP
ejpam-6292	61	3	resistance	resistance	NOUN
ejpam-6292	61	4	patterns	pattern	NOUN
ejpam-6292	61	5	,	,	PUNCT
ejpam-6292	61	6	age	age	NOUN
ejpam-6292	61	7	groupings	grouping	NOUN
ejpam-6292	61	8	,	,	PUNCT
ejpam-6292	61	9	and	and	CCONJ
ejpam-6292	61	10	demographic	demographic	ADJ
ejpam-6292	61	11	types	type	NOUN
ejpam-6292	61	12	may	may	AUX
ejpam-6292	61	13	lead	lead	VERB
ejpam-6292	61	14	to	to	ADP
ejpam-6292	61	15	differing	differ	VERB
ejpam-6292	61	16	outcomes	outcome	NOUN
ejpam-6292	61	17	.	.	PUNCT
ejpam-6292	62	1	more	more	ADV
ejpam-6292	62	2	accurate	accurate	ADJ
ejpam-6292	62	3	models	model	NOUN
ejpam-6292	62	4	are	be	AUX
ejpam-6292	62	5	needed	need	VERB
ejpam-6292	62	6	to	to	PART
ejpam-6292	62	7	account	account	VERB
ejpam-6292	62	8	for	for	ADP
ejpam-6292	62	9	these	these	DET
ejpam-6292	62	10	different	different	ADJ
ejpam-6292	62	11	levels	level	NOUN
ejpam-6292	62	12	of	of	ADP
ejpam-6292	62	13	people	people	NOUN
ejpam-6292	62	14	.	.	PUNCT
ejpam-6292	63	1	according	accord	VERB
ejpam-6292	63	2	to	to	ADP
ejpam-6292	63	3	[	[	X
ejpam-6292	63	4	33	33	NUM
ejpam-6292	63	5	]	]	PUNCT
ejpam-6292	63	6	,	,	PUNCT
ejpam-6292	63	7	a	a	DET
ejpam-6292	63	8	new	new	ADJ
ejpam-6292	63	9	strategy	strategy	NOUN
ejpam-6292	63	10	is	be	AUX
ejpam-6292	63	11	necessary	necessary	ADJ
ejpam-6292	63	12	for	for	ADP
ejpam-6292	63	13	epidemic	epidemic	NOUN
ejpam-6292	63	14	systems	system	NOUN
ejpam-6292	63	15	,	,	PUNCT
ejpam-6292	63	16	especially	especially	ADV
ejpam-6292	63	17	those	those	PRON
ejpam-6292	63	18	involving	involve	VERB
ejpam-6292	63	19	infectious	infectious	ADJ
ejpam-6292	63	20	diseases	disease	NOUN
ejpam-6292	63	21	,	,	PUNCT
ejpam-6292	63	22	because	because	SCONJ
ejpam-6292	63	23	of	of	ADP
ejpam-6292	63	24	the	the	DET
ejpam-6292	63	25	high	high	ADJ
ejpam-6292	63	26	uncertainty	uncertainty	NOUN
ejpam-6292	63	27	.	.	PUNCT
ejpam-6292	64	1	in	in	ADP
ejpam-6292	64	2	many	many	ADJ
ejpam-6292	64	3	fields	field	NOUN
ejpam-6292	64	4	where	where	SCONJ
ejpam-6292	64	5	human	human	ADJ
ejpam-6292	64	6	judgment	judgment	NOUN
ejpam-6292	64	7	is	be	AUX
ejpam-6292	64	8	crucial	crucial	ADJ
ejpam-6292	64	9	for	for	SCONJ
ejpam-6292	64	10	evaluation	evaluation	NOUN
ejpam-6292	64	11	and	and	CCONJ
ejpam-6292	64	12	reasoning	reasoning	NOUN
ejpam-6292	64	13	,	,	PUNCT
ejpam-6292	64	14	fuzzy	fuzzy	ADJ
ejpam-6292	64	15	sets	set	NOUN
ejpam-6292	64	16	and	and	CCONJ
ejpam-6292	64	17	fuzzy	fuzzy	ADJ
ejpam-6292	64	18	logic	logic	NOUN
ejpam-6292	64	19	have	have	AUX
ejpam-6292	64	20	been	be	AUX
ejpam-6292	64	21	widely	widely	ADV
ejpam-6292	64	22	used	use	VERB
ejpam-6292	64	23	to	to	PART
ejpam-6292	64	24	solve	solve	VERB
ejpam-6292	64	25	real	real	ADJ
ejpam-6292	64	26	-	-	PUNCT
ejpam-6292	64	27	world	world	NOUN
ejpam-6292	64	28	problems	problem	NOUN
ejpam-6292	64	29	[	[	X
ejpam-6292	64	30	34–38	34–38	NUM
ejpam-6292	64	31	]	]	PUNCT
ejpam-6292	64	32	.	.	PUNCT
ejpam-6292	65	1	these	these	DET
ejpam-6292	65	2	domains	domain	NOUN
ejpam-6292	65	3	include	include	VERB
ejpam-6292	65	4	,	,	PUNCT
ejpam-6292	65	5	but	but	CCONJ
ejpam-6292	65	6	are	be	AUX
ejpam-6292	65	7	not	not	PART
ejpam-6292	65	8	limited	limit	VERB
ejpam-6292	65	9	to	to	ADP
ejpam-6292	65	10	,	,	PUNCT
ejpam-6292	65	11	engineering	engineering	NOUN
ejpam-6292	65	12	,	,	PUNCT
ejpam-6292	65	13	economics	economic	NOUN
ejpam-6292	65	14	,	,	PUNCT
ejpam-6292	65	15	medicine	medicine	NOUN
ejpam-6292	65	16	,	,	PUNCT
ejpam-6292	65	17	and	and	CCONJ
ejpam-6292	65	18	countless	countless	ADJ
ejpam-6292	65	19	others	other	NOUN
ejpam-6292	65	20	.	.	PUNCT
ejpam-6292	66	1	epidemiologists	epidemiologist	NOUN
ejpam-6292	66	2	have	have	AUX
ejpam-6292	66	3	also	also	ADV
ejpam-6292	66	4	made	make	VERB
ejpam-6292	66	5	use	use	NOUN
ejpam-6292	66	6	of	of	ADP
ejpam-6292	66	7	this	this	DET
ejpam-6292	66	8	theoretical	theoretical	ADJ
ejpam-6292	66	9	framework	framework	NOUN
ejpam-6292	66	10	.	.	PUNCT
ejpam-6292	67	1	barros	barros	PROPN
ejpam-6292	67	2	et	et	PROPN
ejpam-6292	67	3	al	al	PROPN
ejpam-6292	67	4	.	.	PROPN
ejpam-6292	67	5	proposed	propose	VERB
ejpam-6292	67	6	an	an	DET
ejpam-6292	67	7	si	si	NOUN
ejpam-6292	67	8	model	model	NOUN
ejpam-6292	67	9	[	[	X
ejpam-6292	67	10	39	39	NUM
ejpam-6292	67	11	]	]	PUNCT
ejpam-6292	67	12	that	that	PRON
ejpam-6292	67	13	used	use	VERB
ejpam-6292	67	14	fuzzy	fuzzy	ADJ
ejpam-6292	67	15	logic	logic	NOUN
ejpam-6292	67	16	and	and	CCONJ
ejpam-6292	67	17	treated	treat	VERB
ejpam-6292	67	18	the	the	DET
ejpam-6292	67	19	transmission	transmission	NOUN
ejpam-6292	67	20	coefficient	coefficient	NOUN
ejpam-6292	67	21	like	like	ADP
ejpam-6292	67	22	a	a	DET
ejpam-6292	67	23	fuzzy	fuzzy	ADJ
ejpam-6292	67	24	set	set	NOUN
ejpam-6292	67	25	.	.	PUNCT
ejpam-6292	68	1	ortega	ortega	PROPN
ejpam-6292	68	2	et	et	PROPN
ejpam-6292	68	3	al	al	PROPN
ejpam-6292	68	4	.	.	PUNCT
ejpam-6292	69	1	[	[	X
ejpam-6292	69	2	40	40	NUM
ejpam-6292	69	3	]	]	PUNCT
ejpam-6292	69	4	employed	employ	VERB
ejpam-6292	69	5	fuzzy	fuzzy	ADJ
ejpam-6292	69	6	logic	logic	NOUN
ejpam-6292	69	7	for	for	ADP
ejpam-6292	69	8	problem	problem	NOUN
ejpam-6292	69	9	prediction	prediction	NOUN
ejpam-6292	69	10	concerning	concern	VERB
ejpam-6292	69	11	infectious	infectious	ADJ
ejpam-6292	69	12	illness	illness	NOUN
ejpam-6292	69	13	epidemiology	epidemiology	NOUN
ejpam-6292	69	14	.	.	PUNCT
ejpam-6292	70	1	there	there	PRON
ejpam-6292	70	2	was	be	VERB
ejpam-6292	70	3	discussion	discussion	NOUN
ejpam-6292	70	4	of	of	ADP
ejpam-6292	70	5	a	a	DET
ejpam-6292	70	6	rabies	rabies	NOUN
ejpam-6292	70	7	model	model	NOUN
ejpam-6292	70	8	including	include	VERB
ejpam-6292	70	9	partially	partially	ADV
ejpam-6292	70	10	vaccinated	vaccinate	VERB
ejpam-6292	70	11	dogs	dog	NOUN
ejpam-6292	70	12	.	.	PUNCT
ejpam-6292	71	1	using	use	VERB
ejpam-6292	71	2	fuzzy	fuzzy	ADJ
ejpam-6292	71	3	set	set	NOUN
ejpam-6292	71	4	theory	theory	NOUN
ejpam-6292	71	5	,	,	PUNCT
ejpam-6292	71	6	mondal	mondal	PROPN
ejpam-6292	71	7	et	et	PROPN
ejpam-6292	71	8	al	al	PROPN
ejpam-6292	71	9	.	.	PUNCT
ejpam-6292	72	1	[	[	X
ejpam-6292	72	2	41	41	NUM
ejpam-6292	72	3	]	]	PUNCT
ejpam-6292	72	4	developed	develop	VERB
ejpam-6292	72	5	a	a	DET
ejpam-6292	72	6	sis	sis	NOUN
ejpam-6292	72	7	model	model	NOUN
ejpam-6292	72	8	to	to	PART
ejpam-6292	72	9	analyze	analyze	VERB
ejpam-6292	72	10	the	the	DET
ejpam-6292	72	11	epidemic	epidemic	NOUN
ejpam-6292	72	12	.	.	PUNCT
ejpam-6292	73	1	a	a	DET
ejpam-6292	73	2	sir	sir	NOUN
ejpam-6292	73	3	model	model	NOUN
ejpam-6292	73	4	was	be	AUX
ejpam-6292	73	5	developed	develop	VERB
ejpam-6292	73	6	and	and	CCONJ
ejpam-6292	73	7	numerically	numerically	ADV
ejpam-6292	73	8	and	and	CCONJ
ejpam-6292	73	9	mathematically	mathematically	ADV
ejpam-6292	73	10	tested	test	VERB
ejpam-6292	73	11	by	by	ADP
ejpam-6292	73	12	das	das	PROPN
ejpam-6292	73	13	and	and	CCONJ
ejpam-6292	73	14	pal	pal	ADJ
ejpam-6292	73	15	[	[	X
ejpam-6292	73	16	42	42	NUM
ejpam-6292	73	17	]	]	PUNCT
ejpam-6292	73	18	.	.	PUNCT
ejpam-6292	74	1	under	under	ADP
ejpam-6292	74	2	fuzzy	fuzzy	ADJ
ejpam-6292	74	3	conditions	condition	NOUN
ejpam-6292	74	4	,	,	PUNCT
ejpam-6292	74	5	sadhukhan	sadhukhan	NOUN
ejpam-6292	74	6	et	et	PROPN
ejpam-6292	74	7	al	al	PROPN
ejpam-6292	74	8	.	.	PUNCT
ejpam-6292	75	1	[	[	X
ejpam-6292	75	2	43	43	NUM
ejpam-6292	75	3	]	]	PUNCT
ejpam-6292	75	4	investigated	investigate	VERB
ejpam-6292	75	5	harvesting	harvesting	NOUN
ejpam-6292	75	6	optimization	optimization	NOUN
ejpam-6292	75	7	within	within	ADP
ejpam-6292	75	8	a	a	DET
ejpam-6292	75	9	food	food	NOUN
ejpam-6292	75	10	chain	chain	NOUN
ejpam-6292	75	11	model	model	NOUN
ejpam-6292	75	12	.	.	PUNCT
ejpam-6292	76	1	to	to	PART
ejpam-6292	76	2	better	well	ADV
ejpam-6292	76	3	understand	understand	VERB
ejpam-6292	76	4	the	the	DET
ejpam-6292	76	5	dynamics	dynamic	NOUN
ejpam-6292	76	6	of	of	ADP
ejpam-6292	76	7	coronavirus	coronavirus	NOUN
ejpam-6292	76	8	disease	disease	NOUN
ejpam-6292	76	9	,	,	PUNCT
ejpam-6292	76	10	li	li	PROPN
ejpam-6292	76	11	et	et	PROPN
ejpam-6292	76	12	al	al	PROPN
ejpam-6292	76	13	.	.	PUNCT
ejpam-6292	77	1	[	[	X
ejpam-6292	77	2	44	44	NUM
ejpam-6292	77	3	]	]	PUNCT
ejpam-6292	77	4	built	build	VERB
ejpam-6292	77	5	a	a	DET
ejpam-6292	77	6	fuzzy	fuzzy	ADJ
ejpam-6292	77	7	seir	seir	NOUN
ejpam-6292	77	8	model	model	NOUN
ejpam-6292	77	9	that	that	PRON
ejpam-6292	77	10	was	be	AUX
ejpam-6292	77	11	strengthened	strengthen	VERB
ejpam-6292	77	12	by	by	ADP
ejpam-6292	77	13	the	the	DET
ejpam-6292	77	14	confidence	confidence	NOUN
ejpam-6292	77	15	index	index	NOUN
ejpam-6292	77	16	theory	theory	NOUN
ejpam-6292	77	17	.	.	PUNCT
ejpam-6292	78	1	a	a	DET
ejpam-6292	78	2	sir	sir	NOUN
ejpam-6292	78	3	model	model	NOUN
ejpam-6292	78	4	with	with	ADP
ejpam-6292	78	5	fuzzy	fuzzy	ADJ
ejpam-6292	78	6	parameters	parameter	NOUN
ejpam-6292	78	7	was	be	AUX
ejpam-6292	78	8	presented	present	VERB
ejpam-6292	78	9	by	by	ADP
ejpam-6292	78	10	abdy	abdy	NOUN
ejpam-6292	78	11	et	et	PROPN
ejpam-6292	78	12	al	al	PROPN
ejpam-6292	78	13	.	.	PUNCT
ejpam-6292	79	1	[	[	X
ejpam-6292	79	2	45	45	NUM
ejpam-6292	79	3	]	]	PUNCT
ejpam-6292	79	4	to	to	PART
ejpam-6292	79	5	show	show	VERB
ejpam-6292	79	6	how	how	SCONJ
ejpam-6292	79	7	covid-19	covid-19	PROPN
ejpam-6292	79	8	behaves	behave	VERB
ejpam-6292	79	9	.	.	PUNCT
ejpam-6292	80	1	allehiany	allehiany	NOUN
ejpam-6292	80	2	et	et	PROPN
ejpam-6292	80	3	al	al	PROPN
ejpam-6292	80	4	.	.	PROPN
ejpam-6292	80	5	also	also	ADV
ejpam-6292	80	6	explored	explore	VERB
ejpam-6292	80	7	using	using	NOUN
ejpam-6292	80	8	euler	euler	NOUN
ejpam-6292	80	9	,	,	PUNCT
ejpam-6292	80	10	rk-4	rk-4	ADV
ejpam-6292	80	11	,	,	PUNCT
ejpam-6292	80	12	and	and	CCONJ
ejpam-6292	80	13	nsfd	nsfd	PROPN
ejpam-6292	80	14	m.	m.	PROPN
ejpam-6292	80	15	s.	s.	PROPN
ejpam-6292	80	16	arif	arif	PROPN
ejpam-6292	80	17	,	,	PUNCT
ejpam-6292	80	18	k.	k.	PROPN
ejpam-6292	80	19	abodayeh	abodayeh	PROPN
ejpam-6292	80	20	,	,	PUNCT
ejpam-6292	80	21	y.	y.	NOUN
ejpam-6292	80	22	nawaz	nawaz	PROPN
ejpam-6292	80	23	/	/	SYM
ejpam-6292	80	24	eur	eur	PROPN
ejpam-6292	80	25	.	.	PUNCT
ejpam-6292	81	1	j.	j.	PROPN
ejpam-6292	81	2	pure	pure	PROPN
ejpam-6292	81	3	appl	appl	PROPN
ejpam-6292	81	4	.	.	PROPN
ejpam-6292	81	5	math	math	PROPN
ejpam-6292	81	6	,	,	PUNCT
ejpam-6292	81	7	18	18	NUM
ejpam-6292	81	8	(	(	PUNCT
ejpam-6292	81	9	3	3	NUM
ejpam-6292	81	10	)	)	PUNCT
ejpam-6292	81	11	(	(	PUNCT
ejpam-6292	81	12	2025	2025	NUM
ejpam-6292	81	13	)	)	PUNCT
ejpam-6292	81	14	,	,	PUNCT
ejpam-6292	81	15	6292	6292	NUM
ejpam-6292	81	16	4	4	NUM
ejpam-6292	81	17	of	of	ADP
ejpam-6292	81	18	24	24	NUM
ejpam-6292	81	19	techniques	technique	NOUN
ejpam-6292	81	20	in	in	ADP
ejpam-6292	81	21	a	a	DET
ejpam-6292	81	22	fuzzy	fuzzy	ADJ
ejpam-6292	81	23	sir	sir	NOUN
ejpam-6292	81	24	model	model	NOUN
ejpam-6292	82	1	[	[	X
ejpam-6292	82	2	46	46	NUM
ejpam-6292	82	3	]	]	PUNCT
ejpam-6292	82	4	.	.	PUNCT
ejpam-6292	83	1	mickens	mickens	PROPN
ejpam-6292	84	1	[	[	X
ejpam-6292	84	2	47	47	NUM
ejpam-6292	84	3	]	]	PUNCT
ejpam-6292	84	4	first	first	ADV
ejpam-6292	84	5	proposed	propose	VERB
ejpam-6292	84	6	the	the	DET
ejpam-6292	84	7	nsfd	nsfd	PROPN
ejpam-6292	84	8	methodology	methodology	NOUN
ejpam-6292	84	9	,	,	PUNCT
ejpam-6292	84	10	and	and	CCONJ
ejpam-6292	84	11	since	since	SCONJ
ejpam-6292	84	12	then	then	ADV
ejpam-6292	84	13	,	,	PUNCT
ejpam-6292	84	14	several	several	ADJ
ejpam-6292	84	15	scholars	scholar	NOUN
ejpam-6292	84	16	have	have	AUX
ejpam-6292	84	17	used	use	VERB
ejpam-6292	84	18	it	it	PRON
ejpam-6292	84	19	to	to	PART
ejpam-6292	84	20	solve	solve	VERB
ejpam-6292	84	21	systems	system	NOUN
ejpam-6292	84	22	of	of	ADP
ejpam-6292	84	23	differential	differential	ADJ
ejpam-6292	84	24	equations	equation	NOUN
ejpam-6292	85	1	[	[	X
ejpam-6292	85	2	48	48	NUM
ejpam-6292	85	3	–	–	SYM
ejpam-6292	85	4	50	50	NUM
ejpam-6292	85	5	]	]	PUNCT
ejpam-6292	85	6	.	.	PUNCT
ejpam-6292	86	1	using	use	VERB
ejpam-6292	86	2	fuzzy	fuzzy	ADJ
ejpam-6292	86	3	logic	logic	NOUN
ejpam-6292	86	4	,	,	PUNCT
ejpam-6292	86	5	adak	adak	PROPN
ejpam-6292	86	6	and	and	CCONJ
ejpam-6292	86	7	jana	jana	PROPN
ejpam-6292	86	8	investigated	investigate	VERB
ejpam-6292	86	9	a	a	DET
ejpam-6292	86	10	sis	sis	NOUN
ejpam-6292	86	11	model	model	NOUN
ejpam-6292	86	12	that	that	PRON
ejpam-6292	86	13	included	include	VERB
ejpam-6292	86	14	treatment	treatment	NOUN
ejpam-6292	86	15	control	control	NOUN
ejpam-6292	86	16	.	.	PUNCT
ejpam-6292	87	1	traditional	traditional	ADJ
ejpam-6292	87	2	deterministic	deterministic	ADJ
ejpam-6292	87	3	epidemic	epidemic	NOUN
ejpam-6292	87	4	models	model	NOUN
ejpam-6292	87	5	overlook	overlook	VERB
ejpam-6292	87	6	the	the	DET
ejpam-6292	87	7	inherent	inherent	ADJ
ejpam-6292	87	8	uncertainty	uncertainty	NOUN
ejpam-6292	87	9	and	and	CCONJ
ejpam-6292	87	10	randomness	randomness	NOUN
ejpam-6292	87	11	of	of	ADP
ejpam-6292	87	12	disease	disease	NOUN
ejpam-6292	87	13	transmission	transmission	NOUN
ejpam-6292	87	14	.	.	PUNCT
ejpam-6292	88	1	although	although	SCONJ
ejpam-6292	88	2	stochastic	stochastic	ADJ
ejpam-6292	88	3	sir	sir	NOUN
ejpam-6292	88	4	models	model	NOUN
ejpam-6292	88	5	consider	consider	VERB
ejpam-6292	88	6	random	random	ADJ
ejpam-6292	88	7	fluctuations	fluctuation	NOUN
ejpam-6292	88	8	,	,	PUNCT
ejpam-6292	88	9	estimating	estimate	VERB
ejpam-6292	88	10	their	their	PRON
ejpam-6292	88	11	well	well	ADV
ejpam-6292	88	12	-	-	PUNCT
ejpam-6292	88	13	defined	define	VERB
ejpam-6292	88	14	parameters	parameter	NOUN
ejpam-6292	88	15	can	can	AUX
ejpam-6292	88	16	be	be	AUX
ejpam-6292	88	17	challenging	challenge	VERB
ejpam-6292	88	18	in	in	ADP
ejpam-6292	88	19	practical	practical	ADJ
ejpam-6292	88	20	settings	setting	NOUN
ejpam-6292	88	21	.	.	PUNCT
ejpam-6292	89	1	conversely	conversely	ADV
ejpam-6292	89	2	,	,	PUNCT
ejpam-6292	89	3	epidemic	epidemic	NOUN
ejpam-6292	89	4	modeling	modeling	NOUN
ejpam-6292	89	5	greatly	greatly	ADV
ejpam-6292	89	6	benefits	benefit	NOUN
ejpam-6292	89	7	from	from	ADP
ejpam-6292	89	8	fuzzy	fuzzy	ADJ
ejpam-6292	89	9	logic	logic	NOUN
ejpam-6292	89	10	’s	’s	PART
ejpam-6292	89	11	formal	formal	ADJ
ejpam-6292	89	12	foundation	foundation	NOUN
ejpam-6292	89	13	for	for	ADP
ejpam-6292	89	14	dealing	deal	VERB
ejpam-6292	89	15	with	with	ADP
ejpam-6292	89	16	unknown	unknown	ADJ
ejpam-6292	89	17	or	or	CCONJ
ejpam-6292	89	18	imprecise	imprecise	ADJ
ejpam-6292	89	19	parameters	parameter	NOUN
ejpam-6292	89	20	.	.	PUNCT
ejpam-6292	90	1	an	an	DET
ejpam-6292	90	2	adaptive	adaptive	ADJ
ejpam-6292	90	3	model	model	NOUN
ejpam-6292	90	4	that	that	PRON
ejpam-6292	90	5	better	well	ADJ
ejpam-6292	90	6	captures	capture	VERB
ejpam-6292	90	7	real	real	ADJ
ejpam-6292	90	8	-	-	PUNCT
ejpam-6292	90	9	world	world	NOUN
ejpam-6292	90	10	epidemic	epidemic	NOUN
ejpam-6292	90	11	scenarios	scenario	NOUN
ejpam-6292	90	12	can	can	AUX
ejpam-6292	90	13	be	be	AUX
ejpam-6292	90	14	developed	develop	VERB
ejpam-6292	90	15	by	by	ADP
ejpam-6292	90	16	combining	combine	VERB
ejpam-6292	90	17	stochasticity	stochasticity	NOUN
ejpam-6292	90	18	and	and	CCONJ
ejpam-6292	90	19	fuzziness	fuzziness	NOUN
ejpam-6292	90	20	.	.	PUNCT
ejpam-6292	91	1	the	the	DET
ejpam-6292	91	2	significance	significance	NOUN
ejpam-6292	91	3	of	of	ADP
ejpam-6292	91	4	this	this	DET
ejpam-6292	91	5	research	research	NOUN
ejpam-6292	91	6	lies	lie	VERB
ejpam-6292	91	7	in	in	ADP
ejpam-6292	91	8	:	:	PUNCT
ejpam-6292	91	9	(	(	PUNCT
ejpam-6292	91	10	i	i	NOUN
ejpam-6292	91	11	)	)	PUNCT
ejpam-6292	91	12	the	the	DET
ejpam-6292	91	13	fuzzy	fuzzy	ADJ
ejpam-6292	91	14	stochastic	stochastic	ADJ
ejpam-6292	91	15	method	method	NOUN
ejpam-6292	91	16	enhances	enhance	VERB
ejpam-6292	91	17	the	the	DET
ejpam-6292	91	18	depiction	depiction	NOUN
ejpam-6292	91	19	of	of	ADP
ejpam-6292	91	20	uncertainty	uncertainty	NOUN
ejpam-6292	91	21	and	and	CCONJ
ejpam-6292	91	22	better	well	ADJ
ejpam-6292	91	23	captures	capture	VERB
ejpam-6292	91	24	the	the	DET
ejpam-6292	91	25	dynamics	dynamic	NOUN
ejpam-6292	91	26	of	of	ADP
ejpam-6292	91	27	actual	actual	ADJ
ejpam-6292	91	28	epidemics	epidemic	NOUN
ejpam-6292	91	29	by	by	ADP
ejpam-6292	91	30	integrating	integrate	VERB
ejpam-6292	91	31	random	random	ADJ
ejpam-6292	91	32	fluctuations	fluctuation	NOUN
ejpam-6292	91	33	and	and	CCONJ
ejpam-6292	91	34	imprecise	imprecise	ADJ
ejpam-6292	91	35	data	datum	NOUN
ejpam-6292	91	36	.	.	PUNCT
ejpam-6292	92	1	(	(	PUNCT
ejpam-6292	92	2	ii	ii	NOUN
ejpam-6292	92	3	)	)	PUNCT
ejpam-6292	92	4	in	in	ADP
ejpam-6292	92	5	the	the	DET
ejpam-6292	92	6	generalized	generalized	ADJ
ejpam-6292	92	7	incidence	incidence	NOUN
ejpam-6292	92	8	rate	rate	NOUN
ejpam-6292	92	9	,	,	PUNCT
ejpam-6292	92	10	including	include	VERB
ejpam-6292	92	11	the	the	DET
ejpam-6292	92	12	parameter	parameter	NOUN
ejpam-6292	92	13	β	β	PROPN
ejpam-6292	92	14	enables	enable	VERB
ejpam-6292	92	15	more	more	ADJ
ejpam-6292	92	16	adaptability	adaptability	NOUN
ejpam-6292	92	17	in	in	ADP
ejpam-6292	92	18	depicting	depict	VERB
ejpam-6292	92	19	several	several	ADJ
ejpam-6292	92	20	disease	disease	NOUN
ejpam-6292	92	21	transmission	transmission	NOUN
ejpam-6292	92	22	patterns	pattern	NOUN
ejpam-6292	92	23	,	,	PUNCT
ejpam-6292	92	24	including	include	VERB
ejpam-6292	92	25	saturation	saturation	NOUN
ejpam-6292	92	26	effects	effect	NOUN
ejpam-6292	92	27	and	and	CCONJ
ejpam-6292	92	28	behavioural	behavioural	ADJ
ejpam-6292	92	29	changes	change	NOUN
ejpam-6292	92	30	.	.	PUNCT
ejpam-6292	93	1	(	(	PUNCT
ejpam-6292	93	2	iii	iii	X
ejpam-6292	93	3	)	)	PUNCT
ejpam-6292	93	4	efficient	efficient	ADJ
ejpam-6292	93	5	numerical	numerical	ADJ
ejpam-6292	93	6	solutions	solution	NOUN
ejpam-6292	93	7	for	for	ADP
ejpam-6292	93	8	the	the	DET
ejpam-6292	93	9	complex	complex	ADJ
ejpam-6292	93	10	fuzzy	fuzzy	ADJ
ejpam-6292	93	11	stochastic	stochastic	ADJ
ejpam-6292	93	12	sir	sir	PROPN
ejpam-6292	93	13	-	-	PUNCT
ejpam-6292	93	14	β	β	PROPN
ejpam-6292	93	15	model	model	NOUN
ejpam-6292	93	16	:	:	PUNCT
ejpam-6292	93	17	this	this	DET
ejpam-6292	93	18	computational	computational	ADJ
ejpam-6292	93	19	scheme	scheme	NOUN
ejpam-6292	93	20	allows	allow	VERB
ejpam-6292	93	21	for	for	ADP
ejpam-6292	93	22	practical	practical	ADJ
ejpam-6292	93	23	applications	application	NOUN
ejpam-6292	93	24	like	like	ADP
ejpam-6292	93	25	epidemic	epidemic	NOUN
ejpam-6292	93	26	forecasting	forecasting	NOUN
ejpam-6292	93	27	and	and	CCONJ
ejpam-6292	93	28	intervention	intervention	NOUN
ejpam-6292	93	29	planning	planning	NOUN
ejpam-6292	93	30	by	by	ADP
ejpam-6292	93	31	ensuring	ensure	VERB
ejpam-6292	93	32	efficient	efficient	ADJ
ejpam-6292	93	33	numerical	numerical	ADJ
ejpam-6292	93	34	solutions	solution	NOUN
ejpam-6292	93	35	.	.	PUNCT
ejpam-6292	94	1	although	although	SCONJ
ejpam-6292	94	2	traditional	traditional	ADJ
ejpam-6292	94	3	deterministic	deterministic	ADJ
ejpam-6292	94	4	models	model	NOUN
ejpam-6292	94	5	assume	assume	VERB
ejpam-6292	94	6	correct	correct	ADJ
ejpam-6292	94	7	input	input	NOUN
ejpam-6292	94	8	parameters	parameter	NOUN
ejpam-6292	94	9	,	,	PUNCT
ejpam-6292	94	10	in	in	ADP
ejpam-6292	94	11	realworld	realworld	PROPN
ejpam-6292	94	12	epidemiological	epidemiological	ADJ
ejpam-6292	94	13	research	research	NOUN
ejpam-6292	94	14	,	,	PUNCT
ejpam-6292	94	15	factors	factor	NOUN
ejpam-6292	94	16	like	like	ADP
ejpam-6292	94	17	environmental	environmental	ADJ
ejpam-6292	94	18	variations	variation	NOUN
ejpam-6292	94	19	,	,	PUNCT
ejpam-6292	94	20	measurement	measurement	NOUN
ejpam-6292	94	21	errors	error	NOUN
ejpam-6292	94	22	,	,	PUNCT
ejpam-6292	94	23	and	and	CCONJ
ejpam-6292	94	24	unpredictability	unpredictability	NOUN
ejpam-6292	94	25	in	in	ADP
ejpam-6292	94	26	disease	disease	NOUN
ejpam-6292	94	27	transmission	transmission	NOUN
ejpam-6292	94	28	cause	cause	VERB
ejpam-6292	94	29	uncertainty	uncertainty	NOUN
ejpam-6292	94	30	.	.	PUNCT
ejpam-6292	95	1	while	while	SCONJ
ejpam-6292	95	2	stochastic	stochastic	ADJ
ejpam-6292	95	3	differential	differential	ADJ
ejpam-6292	95	4	equations	equation	NOUN
ejpam-6292	95	5	(	(	PUNCT
ejpam-6292	95	6	sdes	sde	NOUN
ejpam-6292	95	7	)	)	PUNCT
ejpam-6292	95	8	provide	provide	VERB
ejpam-6292	95	9	a	a	DET
ejpam-6292	95	10	structure	structure	NOUN
ejpam-6292	95	11	for	for	ADP
ejpam-6292	95	12	including	include	VERB
ejpam-6292	95	13	unpredictability	unpredictability	NOUN
ejpam-6292	95	14	in	in	ADP
ejpam-6292	95	15	the	the	DET
ejpam-6292	95	16	system	system	NOUN
ejpam-6292	95	17	,	,	PUNCT
ejpam-6292	95	18	fuzzy	fuzzy	ADJ
ejpam-6292	95	19	logic	logic	NOUN
ejpam-6292	95	20	allows	allow	VERB
ejpam-6292	95	21	one	one	NUM
ejpam-6292	95	22	to	to	PART
ejpam-6292	95	23	characterize	characterize	VERB
ejpam-6292	95	24	imperfect	imperfect	NOUN
ejpam-6292	95	25	or	or	CCONJ
ejpam-6292	95	26	hazy	hazy	ADJ
ejpam-6292	95	27	knowledge	knowledge	NOUN
ejpam-6292	95	28	.	.	PUNCT
ejpam-6292	96	1	in	in	ADP
ejpam-6292	96	2	epidemiological	epidemiological	ADJ
ejpam-6292	96	3	models	model	NOUN
ejpam-6292	96	4	,	,	PUNCT
ejpam-6292	96	5	stochasticity	stochasticity	NOUN
ejpam-6292	96	6	mixed	mix	VERB
ejpam-6292	96	7	with	with	ADP
ejpam-6292	96	8	fuzziness	fuzziness	NOUN
ejpam-6292	96	9	generates	generate	VERB
ejpam-6292	96	10	fuzzy	fuzzy	ADJ
ejpam-6292	96	11	stochastic	stochastic	ADJ
ejpam-6292	96	12	differential	differential	ADJ
ejpam-6292	96	13	equations	equation	NOUN
ejpam-6292	96	14	(	(	PUNCT
ejpam-6292	96	15	fsdes	fsde	NOUN
ejpam-6292	96	16	)	)	PUNCT
ejpam-6292	96	17	,	,	PUNCT
ejpam-6292	96	18	more	more	ADV
ejpam-6292	96	19	faithfully	faithfully	ADV
ejpam-6292	96	20	representing	represent	VERB
ejpam-6292	96	21	disease	disease	NOUN
ejpam-6292	96	22	dynamics	dynamic	NOUN
ejpam-6292	96	23	.	.	PUNCT
ejpam-6292	97	1	numerical	numerical	ADJ
ejpam-6292	97	2	methods	method	NOUN
ejpam-6292	97	3	for	for	ADP
ejpam-6292	97	4	handling	handle	VERB
ejpam-6292	97	5	fsdes	fsde	NOUN
ejpam-6292	97	6	are	be	AUX
ejpam-6292	97	7	essential	essential	ADJ
ejpam-6292	97	8	in	in	ADP
ejpam-6292	97	9	the	the	DET
ejpam-6292	97	10	lack	lack	NOUN
ejpam-6292	97	11	of	of	ADP
ejpam-6292	97	12	analytical	analytical	ADJ
ejpam-6292	97	13	solutions	solution	NOUN
ejpam-6292	97	14	for	for	ADP
ejpam-6292	97	15	complex	complex	ADJ
ejpam-6292	97	16	models	model	NOUN
ejpam-6292	97	17	.	.	PUNCT
ejpam-6292	98	1	standard	standard	ADJ
ejpam-6292	98	2	finite	finite	ADJ
ejpam-6292	98	3	difference	difference	NOUN
ejpam-6292	98	4	methods	method	NOUN
ejpam-6292	98	5	,	,	PUNCT
ejpam-6292	98	6	nonstandard	nonstandard	ADJ
ejpam-6292	98	7	finite	finite	ADJ
ejpam-6292	98	8	difference	difference	NOUN
ejpam-6292	98	9	schemes	scheme	NOUN
ejpam-6292	98	10	,	,	PUNCT
ejpam-6292	98	11	and	and	CCONJ
ejpam-6292	98	12	stochastic	stochastic	ADJ
ejpam-6292	98	13	numerical	numerical	ADJ
ejpam-6292	98	14	techniques	technique	NOUN
ejpam-6292	98	15	are	be	AUX
ejpam-6292	98	16	among	among	ADP
ejpam-6292	98	17	several	several	ADJ
ejpam-6292	98	18	computing	computing	NOUN
ejpam-6292	98	19	approaches	approach	NOUN
ejpam-6292	98	20	suggested	suggest	VERB
ejpam-6292	98	21	here	here	ADV
ejpam-6292	98	22	.	.	PUNCT
ejpam-6292	99	1	still	still	ADV
ejpam-6292	99	2	,	,	PUNCT
ejpam-6292	99	3	current	current	ADJ
ejpam-6292	99	4	techniques	technique	NOUN
ejpam-6292	99	5	can	can	AUX
ejpam-6292	99	6	suffer	suffer	VERB
ejpam-6292	99	7	from	from	ADP
ejpam-6292	99	8	instability	instability	NOUN
ejpam-6292	99	9	,	,	PUNCT
ejpam-6292	99	10	poor	poor	ADJ
ejpam-6292	99	11	precision	precision	NOUN
ejpam-6292	99	12	,	,	PUNCT
ejpam-6292	99	13	and	and	CCONJ
ejpam-6292	99	14	excessive	excessive	ADJ
ejpam-6292	99	15	computing	compute	VERB
ejpam-6292	99	16	expense	expense	NOUN
ejpam-6292	99	17	.	.	PUNCT
ejpam-6292	100	1	particularly	particularly	ADV
ejpam-6292	100	2	in	in	ADP
ejpam-6292	100	3	the	the	DET
ejpam-6292	100	4	framework	framework	NOUN
ejpam-6292	100	5	of	of	ADP
ejpam-6292	100	6	an	an	DET
ejpam-6292	100	7	extended	extended	ADJ
ejpam-6292	100	8	sir	sir	NOUN
ejpam-6292	100	9	-	-	PUNCT
ejpam-6292	100	10	β	β	PROPN
ejpam-6292	100	11	model	model	NOUN
ejpam-6292	100	12	with	with	ADP
ejpam-6292	100	13	incidence	incidence	NOUN
ejpam-6292	100	14	rate	rate	NOUN
ejpam-6292	100	15	and	and	CCONJ
ejpam-6292	100	16	diffusion	diffusion	NOUN
ejpam-6292	100	17	effects	effect	NOUN
ejpam-6292	100	18	,	,	PUNCT
ejpam-6292	100	19	we	we	PRON
ejpam-6292	100	20	offer	offer	VERB
ejpam-6292	100	21	in	in	ADP
ejpam-6292	100	22	this	this	DET
ejpam-6292	100	23	work	work	NOUN
ejpam-6292	100	24	an	an	DET
ejpam-6292	100	25	effective	effective	ADJ
ejpam-6292	100	26	finite	finite	ADJ
ejpam-6292	100	27	difference	difference	NOUN
ejpam-6292	100	28	scheme	scheme	NOUN
ejpam-6292	100	29	for	for	ADP
ejpam-6292	100	30	solving	solve	VERB
ejpam-6292	100	31	stochastic	stochastic	ADJ
ejpam-6292	100	32	fuzzy	fuzzy	ADJ
ejpam-6292	100	33	partial	partial	ADJ
ejpam-6292	100	34	differential	differential	NOUN
ejpam-6292	100	35	equations	equation	NOUN
ejpam-6292	100	36	.	.	PUNCT
ejpam-6292	101	1	the	the	DET
ejpam-6292	101	2	subsequent	subsequent	ADJ
ejpam-6292	101	3	sections	section	NOUN
ejpam-6292	101	4	of	of	ADP
ejpam-6292	101	5	this	this	DET
ejpam-6292	101	6	work	work	NOUN
ejpam-6292	101	7	are	be	AUX
ejpam-6292	101	8	structured	structure	VERB
ejpam-6292	101	9	as	as	SCONJ
ejpam-6292	101	10	follows	follow	VERB
ejpam-6292	101	11	:	:	PUNCT
ejpam-6292	101	12	section	section	NOUN
ejpam-6292	101	13	2	2	NUM
ejpam-6292	101	14	delineates	delineate	VERB
ejpam-6292	101	15	the	the	DET
ejpam-6292	101	16	mathematical	mathematical	ADJ
ejpam-6292	101	17	formulation	formulation	NOUN
ejpam-6292	101	18	of	of	ADP
ejpam-6292	101	19	the	the	DET
ejpam-6292	101	20	fuzzy	fuzzy	ADJ
ejpam-6292	101	21	stochastic	stochastic	NOUN
ejpam-6292	101	22	sir	sir	PROPN
ejpam-6292	101	23	-	-	PUNCT
ejpam-6292	101	24	β	β	PROPN
ejpam-6292	101	25	model	model	NOUN
ejpam-6292	101	26	.	.	PUNCT
ejpam-6292	102	1	section	section	NOUN
ejpam-6292	102	2	3	3	NUM
ejpam-6292	102	3	describes	describe	VERB
ejpam-6292	102	4	the	the	DET
ejpam-6292	102	5	construction	construction	NOUN
ejpam-6292	102	6	of	of	ADP
ejpam-6292	102	7	the	the	DET
ejpam-6292	102	8	finite	finite	ADJ
ejpam-6292	102	9	difference	difference	NOUN
ejpam-6292	102	10	scheme	scheme	NOUN
ejpam-6292	102	11	and	and	CCONJ
ejpam-6292	102	12	its	its	PRON
ejpam-6292	102	13	stability	stability	NOUN
ejpam-6292	102	14	analysis	analysis	NOUN
ejpam-6292	102	15	.	.	PUNCT
ejpam-6292	103	1	section	section	NOUN
ejpam-6292	103	2	4	4	NUM
ejpam-6292	103	3	provides	provide	VERB
ejpam-6292	103	4	numerical	numerical	ADJ
ejpam-6292	103	5	simulations	simulation	NOUN
ejpam-6292	103	6	and	and	CCONJ
ejpam-6292	103	7	comparative	comparative	ADJ
ejpam-6292	103	8	results	result	NOUN
ejpam-6292	103	9	with	with	ADP
ejpam-6292	103	10	the	the	DET
ejpam-6292	103	11	existing	exist	VERB
ejpam-6292	103	12	nsfd	nsfd	NOUN
ejpam-6292	103	13	method	method	NOUN
ejpam-6292	103	14	.	.	PUNCT
ejpam-6292	104	1	finally	finally	ADV
ejpam-6292	104	2	,	,	PUNCT
ejpam-6292	104	3	section	section	NOUN
ejpam-6292	104	4	5	5	NUM
ejpam-6292	104	5	concludes	conclude	VERB
ejpam-6292	104	6	the	the	DET
ejpam-6292	104	7	study	study	NOUN
ejpam-6292	104	8	with	with	ADP
ejpam-6292	104	9	discussions	discussion	NOUN
ejpam-6292	104	10	on	on	ADP
ejpam-6292	104	11	future	future	ADJ
ejpam-6292	104	12	research	research	NOUN
ejpam-6292	104	13	directions	direction	NOUN
ejpam-6292	104	14	.	.	PUNCT
ejpam-6292	105	1	m.	m.	PROPN
ejpam-6292	105	2	s.	s.	PROPN
ejpam-6292	105	3	arif	arif	PROPN
ejpam-6292	105	4	,	,	PUNCT
ejpam-6292	105	5	k.	k.	PROPN
ejpam-6292	105	6	abodayeh	abodayeh	PROPN
ejpam-6292	105	7	,	,	PUNCT
ejpam-6292	105	8	y.	y.	NOUN
ejpam-6292	105	9	nawaz	nawaz	PROPN
ejpam-6292	105	10	/	/	SYM
ejpam-6292	105	11	eur	eur	PROPN
ejpam-6292	105	12	.	.	PUNCT
ejpam-6292	106	1	j.	j.	PROPN
ejpam-6292	106	2	pure	pure	PROPN
ejpam-6292	106	3	appl	appl	PROPN
ejpam-6292	106	4	.	.	PROPN
ejpam-6292	106	5	math	math	PROPN
ejpam-6292	106	6	,	,	PUNCT
ejpam-6292	106	7	18	18	NUM
ejpam-6292	106	8	(	(	PUNCT
ejpam-6292	106	9	3	3	NUM
ejpam-6292	106	10	)	)	PUNCT
ejpam-6292	106	11	(	(	PUNCT
ejpam-6292	106	12	2025	2025	NUM
ejpam-6292	106	13	)	)	PUNCT
ejpam-6292	106	14	,	,	PUNCT
ejpam-6292	106	15	6292	6292	NUM
ejpam-6292	106	16	5	5	NUM
ejpam-6292	106	17	of	of	ADP
ejpam-6292	106	18	24	24	NUM
ejpam-6292	106	19	2	2	NUM
ejpam-6292	106	20	.	.	PUNCT
ejpam-6292	106	21	proposed	propose	VERB
ejpam-6292	106	22	fuzzy	fuzzy	ADJ
ejpam-6292	106	23	numerical	numerical	ADJ
ejpam-6292	106	24	scheme	scheme	NOUN
ejpam-6292	106	25	2.1	2.1	NUM
ejpam-6292	106	26	.	.	PUNCT
ejpam-6292	106	27	fuzzy	fuzzy	PROPN
ejpam-6292	106	28	set	set	VERB
ejpam-6292	106	29	a	a	DET
ejpam-6292	106	30	fuzzy	fuzzy	ADJ
ejpam-6292	106	31	set	set	NOUN
ejpam-6292	106	32	a	a	DET
ejpam-6292	106	33	in	in	NOUN
ejpam-6292	106	34	x	x	SYM
ejpam-6292	106	35	is	be	AUX
ejpam-6292	106	36	a	a	DET
ejpam-6292	106	37	function	function	NOUN
ejpam-6292	106	38	from	from	ADP
ejpam-6292	106	39	set	set	NOUN
ejpam-6292	106	40	x	x	INTJ
ejpam-6292	106	41	to	to	ADP
ejpam-6292	106	42	the	the	DET
ejpam-6292	106	43	unit	unit	NOUN
ejpam-6292	106	44	interval	interval	NOUN
ejpam-6292	106	45	[	[	X
ejpam-6292	106	46	0	0	NUM
ejpam-6292	106	47	,	,	PUNCT
ejpam-6292	106	48	1	1	NUM
ejpam-6292	106	49	]	]	PUNCT
ejpam-6292	106	50	.	.	PUNCT
ejpam-6292	107	1	a	a	DET
ejpam-6292	107	2	membership	membership	NOUN
ejpam-6292	107	3	function	function	NOUN
ejpam-6292	107	4	µa(x	µa(x	PUNCT
ejpam-6292	107	5	)	)	PUNCT
ejpam-6292	107	6	characterizes	characterize	VERB
ejpam-6292	107	7	a	a	DET
ejpam-6292	107	8	fuzzy	fuzzy	ADJ
ejpam-6292	107	9	set	set	NOUN
ejpam-6292	107	10	.	.	PUNCT
ejpam-6292	108	1	each	each	DET
ejpam-6292	108	2	member	member	NOUN
ejpam-6292	108	3	in	in	ADP
ejpam-6292	108	4	a	a	PRON
ejpam-6292	108	5	is	be	AUX
ejpam-6292	108	6	an	an	DET
ejpam-6292	108	7	ordered	ordered	ADJ
ejpam-6292	108	8	pair	pair	NOUN
ejpam-6292	108	9	consisting	consist	VERB
ejpam-6292	108	10	of	of	ADP
ejpam-6292	108	11	the	the	DET
ejpam-6292	108	12	element	element	NOUN
ejpam-6292	108	13	in	in	ADP
ejpam-6292	108	14	x	x	PUNCT
ejpam-6292	108	15	and	and	CCONJ
ejpam-6292	108	16	its	its	PRON
ejpam-6292	108	17	grade	grade	NOUN
ejpam-6292	108	18	of	of	ADP
ejpam-6292	108	19	membership	membership	NOUN
ejpam-6292	108	20	.	.	PUNCT
ejpam-6292	109	1	if	if	SCONJ
ejpam-6292	109	2	the	the	DET
ejpam-6292	109	3	membership	membership	NOUN
ejpam-6292	109	4	function	function	NOUN
ejpam-6292	109	5	is	be	AUX
ejpam-6292	109	6	expressed	express	VERB
ejpam-6292	109	7	as	as	ADP
ejpam-6292	109	8	a	a	DET
ejpam-6292	109	9	triangle	triangle	NOUN
ejpam-6292	109	10	,	,	PUNCT
ejpam-6292	109	11	then	then	ADV
ejpam-6292	109	12	it	it	PRON
ejpam-6292	109	13	is	be	AUX
ejpam-6292	109	14	called	call	VERB
ejpam-6292	109	15	a	a	DET
ejpam-6292	109	16	triangular	triangular	NOUN
ejpam-6292	109	17	membership	membership	NOUN
ejpam-6292	109	18	function	function	NOUN
ejpam-6292	109	19	.	.	PUNCT
ejpam-6292	110	1	2.2	2.2	NUM
ejpam-6292	110	2	.	.	PUNCT
ejpam-6292	110	3	proposed	propose	VERB
ejpam-6292	110	4	fuzzy	fuzzy	ADJ
ejpam-6292	110	5	numerical	numerical	ADJ
ejpam-6292	110	6	scheme	scheme	NOUN
ejpam-6292	110	7	we	we	PRON
ejpam-6292	110	8	propose	propose	VERB
ejpam-6292	110	9	a	a	DET
ejpam-6292	110	10	fuzzy	fuzzy	ADJ
ejpam-6292	110	11	numerical	numerical	ADJ
ejpam-6292	110	12	scheme	scheme	NOUN
ejpam-6292	110	13	to	to	PART
ejpam-6292	110	14	solve	solve	VERB
ejpam-6292	110	15	partial	partial	ADJ
ejpam-6292	110	16	differential	differential	ADJ
ejpam-6292	110	17	equations	equation	NOUN
ejpam-6292	110	18	with	with	ADP
ejpam-6292	110	19	fuzzy	fuzzy	ADJ
ejpam-6292	110	20	parameters	parameter	NOUN
ejpam-6292	110	21	.	.	PUNCT
ejpam-6292	111	1	the	the	DET
ejpam-6292	111	2	β1	β1	NOUN
ejpam-6292	111	3	-	-	PUNCT
ejpam-6292	111	4	cut	cut	VERB
ejpam-6292	111	5	approach	approach	NOUN
ejpam-6292	111	6	is	be	AUX
ejpam-6292	111	7	used	use	VERB
ejpam-6292	111	8	to	to	PART
ejpam-6292	111	9	represent	represent	VERB
ejpam-6292	111	10	fuzzy	fuzzy	ADJ
ejpam-6292	111	11	parameters	parameter	NOUN
ejpam-6292	111	12	.	.	PUNCT
ejpam-6292	112	1	the	the	DET
ejpam-6292	112	2	time	time	NOUN
ejpam-6292	112	3	discretization	discretization	NOUN
ejpam-6292	112	4	is	be	AUX
ejpam-6292	112	5	based	base	VERB
ejpam-6292	112	6	on	on	ADP
ejpam-6292	112	7	a	a	DET
ejpam-6292	112	8	two	two	NUM
ejpam-6292	112	9	-	-	PUNCT
ejpam-6292	112	10	stage	stage	NOUN
ejpam-6292	112	11	integrator	integrator	NOUN
ejpam-6292	112	12	,	,	PUNCT
ejpam-6292	112	13	and	and	CCONJ
ejpam-6292	112	14	a	a	DET
ejpam-6292	112	15	compact	compact	ADJ
ejpam-6292	112	16	finite	finite	ADJ
ejpam-6292	112	17	difference	difference	NOUN
ejpam-6292	112	18	method	method	NOUN
ejpam-6292	112	19	is	be	AUX
ejpam-6292	112	20	used	use	VERB
ejpam-6292	112	21	for	for	ADP
ejpam-6292	112	22	spatial	spatial	ADJ
ejpam-6292	112	23	discretization	discretization	NOUN
ejpam-6292	112	24	.	.	PUNCT
ejpam-6292	113	1	a	a	DET
ejpam-6292	113	2	fuzzy	fuzzy	ADJ
ejpam-6292	113	3	pde	pde	NOUN
ejpam-6292	113	4	with	with	ADP
ejpam-6292	113	5	a	a	DET
ejpam-6292	113	6	fuzzy	fuzzy	ADJ
ejpam-6292	113	7	parameter	parameter	NOUN
ejpam-6292	113	8	γ	γ	NOUN
ejpam-6292	113	9	is	be	AUX
ejpam-6292	113	10	written	write	VERB
ejpam-6292	113	11	as	as	ADP
ejpam-6292	113	12	:	:	PUNCT
ejpam-6292	113	13	∂v	∂v	PROPN
ejpam-6292	113	14	∂t	∂t	PROPN
ejpam-6292	113	15	=	=	PUNCT
ejpam-6292	113	16	γ	γ	X
ejpam-6292	113	17	∂2v	∂2v	PROPN
ejpam-6292	113	18	∂x2	∂x2	PROPN
ejpam-6292	113	19	+	+	SYM
ejpam-6292	113	20	g(v	g(v	X
ejpam-6292	113	21	)	)	PUNCT
ejpam-6292	113	22	(	(	PUNCT
ejpam-6292	113	23	1	1	X
ejpam-6292	113	24	)	)	PUNCT
ejpam-6292	113	25	where	where	SCONJ
ejpam-6292	113	26	γ	γ	PROPN
ejpam-6292	113	27	is	be	AUX
ejpam-6292	113	28	a	a	DET
ejpam-6292	113	29	fuzzy	fuzzy	ADJ
ejpam-6292	113	30	triangular	triangular	NOUN
ejpam-6292	113	31	number	number	NOUN
ejpam-6292	113	32	defined	define	VERB
ejpam-6292	113	33	as	as	ADP
ejpam-6292	113	34	[	[	NOUN
ejpam-6292	113	35	0.3β1	0.3β1	NUM
ejpam-6292	113	36	,	,	PUNCT
ejpam-6292	113	37	1−	1−	NUM
ejpam-6292	113	38	0.5β1	0.5β1	NUM
ejpam-6292	113	39	]	]	PUNCT
ejpam-6292	113	40	.	.	PUNCT
ejpam-6292	114	1	applying	apply	VERB
ejpam-6292	114	2	the	the	DET
ejpam-6292	114	3	β1	β1	NOUN
ejpam-6292	114	4	-	-	PUNCT
ejpam-6292	114	5	cut	cut	NOUN
ejpam-6292	114	6	method	method	NOUN
ejpam-6292	114	7	:	:	PUNCT
ejpam-6292	114	8	∂	∂	NUM
ejpam-6292	114	9	∂t	∂t	PROPN
ejpam-6292	115	1	[	[	X
ejpam-6292	115	2	v1(t	v1(t	PROPN
ejpam-6292	115	3	,	,	PUNCT
ejpam-6292	115	4	x	x	NOUN
ejpam-6292	115	5	,	,	PUNCT
ejpam-6292	115	6	β1	β1	PROPN
ejpam-6292	115	7	)	)	PUNCT
ejpam-6292	115	8	,	,	PUNCT
ejpam-6292	115	9	v2(t	v2(t	NOUN
ejpam-6292	115	10	,	,	PUNCT
ejpam-6292	115	11	x	x	NOUN
ejpam-6292	115	12	,	,	PUNCT
ejpam-6292	115	13	β1	β1	PROPN
ejpam-6292	115	14	)	)	PUNCT
ejpam-6292	115	15	]	]	PUNCT
ejpam-6292	116	1	=	=	PUNCT
ejpam-6292	116	2	γ	γ	X
ejpam-6292	116	3	∂2	∂2	PROPN
ejpam-6292	116	4	∂x2	∂x2	PROPN
ejpam-6292	116	5	[	[	X
ejpam-6292	116	6	v1(t	v1(t	X
ejpam-6292	116	7	,	,	PUNCT
ejpam-6292	116	8	x	x	NOUN
ejpam-6292	116	9	,	,	PUNCT
ejpam-6292	116	10	β1	β1	PROPN
ejpam-6292	116	11	)	)	PUNCT
ejpam-6292	116	12	,	,	PUNCT
ejpam-6292	116	13	v2(t	v2(t	NOUN
ejpam-6292	116	14	,	,	PUNCT
ejpam-6292	116	15	x	x	NOUN
ejpam-6292	116	16	,	,	PUNCT
ejpam-6292	116	17	β1	β1	PROPN
ejpam-6292	116	18	)	)	PUNCT
ejpam-6292	116	19	]	]	PUNCT
ejpam-6292	117	1	+	+	CCONJ
ejpam-6292	117	2	g	g	NOUN
ejpam-6292	117	3	(	(	PUNCT
ejpam-6292	117	4	[	[	X
ejpam-6292	117	5	v1(t	v1(t	X
ejpam-6292	117	6	,	,	PUNCT
ejpam-6292	117	7	x	x	NOUN
ejpam-6292	117	8	,	,	PUNCT
ejpam-6292	117	9	β1	β1	PROPN
ejpam-6292	117	10	)	)	PUNCT
ejpam-6292	117	11	,	,	PUNCT
ejpam-6292	117	12	v2(t	v2(t	NOUN
ejpam-6292	117	13	,	,	PUNCT
ejpam-6292	117	14	x	x	NOUN
ejpam-6292	117	15	,	,	PUNCT
ejpam-6292	117	16	β1	β1	PROPN
ejpam-6292	117	17	)	)	PUNCT
ejpam-6292	117	18	]	]	PUNCT
ejpam-6292	117	19	)	)	PUNCT
ejpam-6292	117	20	(	(	PUNCT
ejpam-6292	117	21	2	2	X
ejpam-6292	117	22	)	)	PUNCT
ejpam-6292	117	23	2.3	2.3	NUM
ejpam-6292	117	24	.	.	PUNCT
ejpam-6292	118	1	first	first	ADJ
ejpam-6292	118	2	stage	stage	NOUN
ejpam-6292	118	3	of	of	ADP
ejpam-6292	118	4	the	the	DET
ejpam-6292	118	5	scheme	scheme	NOUN
ejpam-6292	118	6	let	let	VERB
ejpam-6292	118	7	v	v	NOUN
ejpam-6292	118	8	=	=	NOUN
ejpam-6292	118	9	v1	v1	NOUN
ejpam-6292	118	10	.	.	PUNCT
ejpam-6292	119	1	the	the	DET
ejpam-6292	119	2	first	first	ADJ
ejpam-6292	119	3	stage	stage	NOUN
ejpam-6292	119	4	is	be	AUX
ejpam-6292	119	5	defined	define	VERB
ejpam-6292	119	6	as	as	ADP
ejpam-6292	119	7	:	:	PUNCT
ejpam-6292	119	8	v̄n+1	v̄n+1	NOUN
ejpam-6292	120	1	i	i	NOUN
ejpam-6292	120	2	=	=	NOUN
ejpam-6292	120	3	1	1	NUM
ejpam-6292	120	4	2	2	NUM
ejpam-6292	120	5	vni	vni	NOUN
ejpam-6292	120	6	e	e	NOUN
ejpam-6292	120	7	6∆t	6∆t	NUM
ejpam-6292	120	8	+	+	CCONJ
ejpam-6292	120	9	1	1	NUM
ejpam-6292	120	10	2	2	NUM
ejpam-6292	120	11	vni	vni	NOUN
ejpam-6292	120	12	e	e	NOUN
ejpam-6292	120	13	−5∆t	−5∆t	PROPN
ejpam-6292	120	14	+	+	CCONJ
ejpam-6292	120	15	(	(	PUNCT
ejpam-6292	120	16	e6∆t	e6∆t	ADJ
ejpam-6292	120	17	+	+	NUM
ejpam-6292	120	18	e−5∆t	e−5∆t	NOUN
ejpam-6292	120	19	−	−	NOUN
ejpam-6292	120	20	2	2	NUM
ejpam-6292	120	21	)	)	PUNCT
ejpam-6292	120	22	(	(	PUNCT
ejpam-6292	121	1	∂v	∂v	PROPN
ejpam-6292	121	2	∂t	∂t	PROPN
ejpam-6292	121	3	∣∣∣∣n	∣∣∣∣n	NOUN
ejpam-6292	122	1	i	i	PRON
ejpam-6292	122	2	−	−	NOUN
ejpam-6292	122	3	1	1	NUM
ejpam-6292	122	4	2	2	NUM
ejpam-6292	122	5	vni	vni	NOUN
ejpam-6292	122	6	)	)	PUNCT
ejpam-6292	122	7	(	(	PUNCT
ejpam-6292	122	8	3	3	X
ejpam-6292	122	9	)	)	PUNCT
ejpam-6292	122	10	2.4	2.4	NUM
ejpam-6292	122	11	.	.	PUNCT
ejpam-6292	123	1	second	second	ADJ
ejpam-6292	123	2	stage	stage	NOUN
ejpam-6292	123	3	of	of	ADP
ejpam-6292	123	4	the	the	DET
ejpam-6292	123	5	scheme	scheme	NOUN
ejpam-6292	123	6	the	the	DET
ejpam-6292	123	7	second	second	ADJ
ejpam-6292	123	8	stage	stage	NOUN
ejpam-6292	123	9	for	for	ADP
ejpam-6292	123	10	the	the	DET
ejpam-6292	123	11	final	final	ADJ
ejpam-6292	123	12	update	update	NOUN
ejpam-6292	123	13	is	be	AUX
ejpam-6292	123	14	:	:	PUNCT
ejpam-6292	123	15	vn+1	vn+1	PROPN
ejpam-6292	123	16	i	i	NOUN
ejpam-6292	123	17	=	=	PUNCT
ejpam-6292	123	18	avni	avni	PROPN
ejpam-6292	123	19	+	+	CCONJ
ejpam-6292	123	20	bv̄n+1	bv̄n+1	PROPN
ejpam-6292	124	1	i	i	PRON
ejpam-6292	124	2	+	+	CCONJ
ejpam-6292	124	3	c(e∆t	c(e∆t	ADJ
ejpam-6292	124	4	−	−	PROPN
ejpam-6292	124	5	1	1	NUM
ejpam-6292	124	6	)	)	PUNCT
ejpam-6292	124	7	∂v̄	∂v̄	PROPN
ejpam-6292	124	8	∂t	∂t	PROPN
ejpam-6292	124	9	∣∣∣∣n+1	∣∣∣∣n+1	PROPN
ejpam-6292	124	10	i	i	PRON
ejpam-6292	124	11	(	(	PUNCT
ejpam-6292	124	12	4	4	X
ejpam-6292	124	13	)	)	PUNCT
ejpam-6292	124	14	using	use	VERB
ejpam-6292	124	15	taylor	taylor	PROPN
ejpam-6292	124	16	expansion	expansion	NOUN
ejpam-6292	124	17	:	:	PUNCT
ejpam-6292	124	18	vn+1	vn+1	PROPN
ejpam-6292	125	1	i	i	PRON
ejpam-6292	125	2	=	=	VERB
ejpam-6292	125	3	vni	vni	VERB
ejpam-6292	125	4	+	+	ADJ
ejpam-6292	125	5	∆t	∆t	PROPN
ejpam-6292	125	6	∂v	∂v	PROPN
ejpam-6292	125	7	∂t	∂t	PROPN
ejpam-6292	125	8	∣∣∣∣n	∣∣∣∣n	NOUN
ejpam-6292	126	1	i	i	PRON
ejpam-6292	126	2	+	+	CCONJ
ejpam-6292	126	3	(	(	PUNCT
ejpam-6292	126	4	∆t)2	∆t)2	PROPN
ejpam-6292	126	5	2	2	NUM
ejpam-6292	126	6	∂2v	∂2v	PROPN
ejpam-6292	126	7	∂t2	∂t2	NOUN
ejpam-6292	126	8	∣∣∣∣n	∣∣∣∣n	NOUN
ejpam-6292	126	9	i	i	PRON
ejpam-6292	126	10	+	+	NOUN
ejpam-6292	126	11	o(∆t3	o(∆t3	NOUN
ejpam-6292	126	12	)	)	PUNCT
ejpam-6292	126	13	(	(	PUNCT
ejpam-6292	126	14	5	5	NUM
ejpam-6292	126	15	)	)	PUNCT
ejpam-6292	126	16	by	by	ADP
ejpam-6292	126	17	matching	match	VERB
ejpam-6292	126	18	coefficients	coefficient	NOUN
ejpam-6292	126	19	,	,	PUNCT
ejpam-6292	126	20	we	we	PRON
ejpam-6292	126	21	get:	get:	VERB
ejpam-6292	126	22	1	1	NUM
ejpam-6292	126	23	=	=	SYM
ejpam-6292	126	24	a+	a+	PRON
ejpam-6292	126	25	b	b	X
ejpam-6292	126	26	(	(	PUNCT
ejpam-6292	126	27	1	1	NUM
ejpam-6292	126	28	2e	2e	NUM
ejpam-6292	126	29	6∆t	6∆t	NUM
ejpam-6292	126	30	+	+	CCONJ
ejpam-6292	126	31	1	1	NUM
ejpam-6292	126	32	2e	2e	NUM
ejpam-6292	126	33	−5∆t	−5∆t	NOUN
ejpam-6292	126	34	−	−	NUM
ejpam-6292	126	35	1	1	NUM
ejpam-6292	126	36	2(e	2(e	NUM
ejpam-6292	126	37	6∆t	6∆t	NUM
ejpam-6292	126	38	+	+	CCONJ
ejpam-6292	126	39	e−5∆t	e−5∆t	NOUN
ejpam-6292	126	40	−	−	NOUN
ejpam-6292	126	41	2	2	NUM
ejpam-6292	126	42	)	)	PUNCT
ejpam-6292	126	43	)	)	PUNCT
ejpam-6292	126	44	∆t	∆t	PROPN
ejpam-6292	127	1	=	=	SYM
ejpam-6292	127	2	b(e6∆t	b(e6∆t	VERB
ejpam-6292	127	3	+	+	CCONJ
ejpam-6292	127	4	e−5∆t	e−5∆t	NOUN
ejpam-6292	127	5	−	−	NOUN
ejpam-6292	127	6	2	2	NUM
ejpam-6292	127	7	)	)	PUNCT
ejpam-6292	128	1	+	+	CCONJ
ejpam-6292	129	1	c(e∆t	c(e∆t	NOUN
ejpam-6292	129	2	−	−	PROPN
ejpam-6292	129	3	1	1	NUM
ejpam-6292	129	4	)	)	PUNCT
ejpam-6292	129	5	(	(	PUNCT
ejpam-6292	129	6	1	1	NUM
ejpam-6292	129	7	2e	2e	NUM
ejpam-6292	129	8	6∆t	6∆t	NUM
ejpam-6292	129	9	+	+	CCONJ
ejpam-6292	129	10	1	1	NUM
ejpam-6292	129	11	2e	2e	NUM
ejpam-6292	129	12	−5∆t	−5∆t	NOUN
ejpam-6292	129	13	−	−	NUM
ejpam-6292	129	14	1	1	NUM
ejpam-6292	129	15	2(e	2(e	NUM
ejpam-6292	129	16	6∆t	6∆t	NUM
ejpam-6292	129	17	+	+	CCONJ
ejpam-6292	129	18	e−5∆t	e−5∆t	NOUN
ejpam-6292	129	19	−	−	NOUN
ejpam-6292	129	20	2	2	NUM
ejpam-6292	129	21	)	)	PUNCT
ejpam-6292	129	22	)	)	PUNCT
ejpam-6292	130	1	(	(	PUNCT
ejpam-6292	130	2	∆t)2	∆t)2	PROPN
ejpam-6292	130	3	2	2	NUM
ejpam-6292	130	4	=	=	SYM
ejpam-6292	130	5	c(e∆t	c(e∆t	NOUN
ejpam-6292	130	6	−	−	PROPN
ejpam-6292	130	7	1)(e6∆t	1)(e6∆t	NUM
ejpam-6292	131	1	+	+	NUM
ejpam-6292	131	2	e−5∆t	e−5∆t	NOUN
ejpam-6292	131	3	−	−	NOUN
ejpam-6292	131	4	2	2	NUM
ejpam-6292	131	5	)	)	PUNCT
ejpam-6292	131	6	m.	m.	NOUN
ejpam-6292	131	7	s.	s.	PROPN
ejpam-6292	131	8	arif	arif	PROPN
ejpam-6292	131	9	,	,	PUNCT
ejpam-6292	131	10	k.	k.	PROPN
ejpam-6292	131	11	abodayeh	abodayeh	PROPN
ejpam-6292	131	12	,	,	PUNCT
ejpam-6292	131	13	y.	y.	NOUN
ejpam-6292	131	14	nawaz	nawaz	PROPN
ejpam-6292	131	15	/	/	SYM
ejpam-6292	131	16	eur	eur	PROPN
ejpam-6292	131	17	.	.	PUNCT
ejpam-6292	132	1	j.	j.	PROPN
ejpam-6292	132	2	pure	pure	PROPN
ejpam-6292	132	3	appl	appl	PROPN
ejpam-6292	132	4	.	.	PROPN
ejpam-6292	132	5	math	math	PROPN
ejpam-6292	132	6	,	,	PUNCT
ejpam-6292	132	7	18	18	NUM
ejpam-6292	132	8	(	(	PUNCT
ejpam-6292	132	9	3	3	NUM
ejpam-6292	132	10	)	)	PUNCT
ejpam-6292	132	11	(	(	PUNCT
ejpam-6292	132	12	2025	2025	NUM
ejpam-6292	132	13	)	)	PUNCT
ejpam-6292	132	14	,	,	PUNCT
ejpam-6292	132	15	6292	6292	NUM
ejpam-6292	132	16	6	6	NUM
ejpam-6292	132	17	of	of	ADP
ejpam-6292	132	18	24	24	NUM
ejpam-6292	132	19	2.5	2.5	NUM
ejpam-6292	132	20	.	.	PUNCT
ejpam-6292	133	1	discretization	discretization	NOUN
ejpam-6292	133	2	of	of	ADP
ejpam-6292	133	3	fuzzy	fuzzy	ADJ
ejpam-6292	133	4	spatial	spatial	ADJ
ejpam-6292	133	5	terms	term	NOUN
ejpam-6292	133	6	updating	update	VERB
ejpam-6292	133	7	eqs	eqs	PROPN
ejpam-6292	133	8	.	.	PUNCT
ejpam-6292	134	1	(	(	PUNCT
ejpam-6292	134	2	4	4	NUM
ejpam-6292	134	3	)	)	PUNCT
ejpam-6292	134	4	and	and	CCONJ
ejpam-6292	134	5	(	(	PUNCT
ejpam-6292	134	6	5	5	NUM
ejpam-6292	134	7	)	)	PUNCT
ejpam-6292	134	8	for	for	ADP
ejpam-6292	134	9	spatial	spatial	ADJ
ejpam-6292	134	10	discretization	discretization	NOUN
ejpam-6292	134	11	:	:	PUNCT
ejpam-6292	134	12	v̄n+1	v̄n+1	NOUN
ejpam-6292	135	1	i	i	NOUN
ejpam-6292	135	2	=	=	NOUN
ejpam-6292	135	3	1	1	NUM
ejpam-6292	135	4	2	2	NUM
ejpam-6292	135	5	vni	vni	NOUN
ejpam-6292	135	6	e	e	NOUN
ejpam-6292	135	7	6∆t	6∆t	NUM
ejpam-6292	135	8	+	+	CCONJ
ejpam-6292	135	9	1	1	NUM
ejpam-6292	135	10	2	2	NUM
ejpam-6292	135	11	vni	vni	NOUN
ejpam-6292	135	12	e	e	NOUN
ejpam-6292	135	13	−5∆t	−5∆t	PROPN
ejpam-6292	135	14	+	+	CCONJ
ejpam-6292	135	15	(	(	PUNCT
ejpam-6292	135	16	e6∆t	e6∆t	ADJ
ejpam-6292	135	17	+	+	NUM
ejpam-6292	135	18	e−5∆t	e−5∆t	NOUN
ejpam-6292	135	19	−	−	NOUN
ejpam-6292	135	20	2	2	NUM
ejpam-6292	135	21	)	)	PUNCT
ejpam-6292	135	22	(	(	PUNCT
ejpam-6292	135	23	0.3β1	0.3β1	NUM
ejpam-6292	135	24	∂2v	∂2v	PROPN
ejpam-6292	135	25	∂x2	∂x2	PROPN
ejpam-6292	135	26	∣∣∣∣n	∣∣∣∣n	NOUN
ejpam-6292	136	1	i	i	PRON
ejpam-6292	136	2	+	+	CCONJ
ejpam-6292	136	3	g(vni	g(vni	VERB
ejpam-6292	136	4	)	)	PUNCT
ejpam-6292	136	5	−	−	PROPN
ejpam-6292	136	6	1	1	NUM
ejpam-6292	136	7	2	2	NUM
ejpam-6292	136	8	vni	vni	NOUN
ejpam-6292	136	9	)	)	PUNCT
ejpam-6292	136	10	(	(	PUNCT
ejpam-6292	136	11	6	6	NUM
ejpam-6292	136	12	)	)	PUNCT
ejpam-6292	136	13	vn+1	vn+1	NOUN
ejpam-6292	137	1	i	i	NOUN
ejpam-6292	137	2	=	=	PUNCT
ejpam-6292	137	3	avni	avni	PROPN
ejpam-6292	137	4	+	+	CCONJ
ejpam-6292	137	5	bv̄n+1	bv̄n+1	PROPN
ejpam-6292	138	1	i	i	PRON
ejpam-6292	138	2	+	+	CCONJ
ejpam-6292	138	3	c(e∆t	c(e∆t	ADJ
ejpam-6292	138	4	−	−	PROPN
ejpam-6292	138	5	1	1	NUM
ejpam-6292	138	6	)	)	PUNCT
ejpam-6292	138	7	(	(	PUNCT
ejpam-6292	138	8	0.3β1	0.3β1	NUM
ejpam-6292	138	9	∂2v̄	∂2v̄	PROPN
ejpam-6292	138	10	∂x2	∂x2	NOUN
ejpam-6292	138	11	∣∣∣∣n+1	∣∣∣∣n+1	NOUN
ejpam-6292	138	12	i	i	PRON
ejpam-6292	138	13	+	+	CCONJ
ejpam-6292	138	14	g(v̄n+1	g(v̄n+1	PROPN
ejpam-6292	138	15	i	i	PROPN
ejpam-6292	138	16	)	)	PUNCT
ejpam-6292	138	17	)	)	PUNCT
ejpam-6292	139	1	(	(	PUNCT
ejpam-6292	139	2	7	7	X
ejpam-6292	139	3	)	)	PUNCT
ejpam-6292	139	4	for	for	ADP
ejpam-6292	139	5	compact	compact	ADJ
ejpam-6292	139	6	spatial	spatial	ADJ
ejpam-6292	139	7	discretization	discretization	NOUN
ejpam-6292	139	8	,	,	PUNCT
ejpam-6292	139	9	define	define	VERB
ejpam-6292	139	10	matrices	matrix	NOUN
ejpam-6292	139	11	a	a	PRON
ejpam-6292	139	12	and	and	CCONJ
ejpam-6292	139	13	b	b	NOUN
ejpam-6292	139	14	:	:	PUNCT
ejpam-6292	139	15	α1v	α1v	NOUN
ejpam-6292	139	16	′′	′′	PROPN
ejpam-6292	139	17	i−1	i−1	PROPN
ejpam-6292	139	18	+	+	PROPN
ejpam-6292	139	19	v′′i	v′′i	PROPN
ejpam-6292	139	20	+	+	SYM
ejpam-6292	139	21	α1v	α1v	NOUN
ejpam-6292	139	22	′′	′′	PROPN
ejpam-6292	139	23	i+1	i+1	PART
ejpam-6292	139	24	=	=	SYM
ejpam-6292	139	25	a0	a0	PROPN
ejpam-6292	139	26	vni+1	vni+1	NOUN
ejpam-6292	140	1	−	−	PROPN
ejpam-6292	141	1	2vni	2vni	NOUN
ejpam-6292	141	2	+	+	CCONJ
ejpam-6292	141	3	vni−1	vni−1	PROPN
ejpam-6292	141	4	∆x2	∆x2	PRON
ejpam-6292	141	5	+	+	CCONJ
ejpam-6292	141	6	a1	a1	NOUN
ejpam-6292	141	7	vni+2	vni+2	NOUN
ejpam-6292	141	8	−	−	PROPN
ejpam-6292	142	1	2vni	2vni	NOUN
ejpam-6292	142	2	+	+	CCONJ
ejpam-6292	142	3	vni−2	vni−2	NUM
ejpam-6292	142	4	4∆x2	4∆x2	NUM
ejpam-6292	142	5	(	(	PUNCT
ejpam-6292	142	6	8)	8)	NUM
ejpam-6292	142	7	with	with	ADP
ejpam-6292	142	8	a0	a0	NOUN
ejpam-6292	142	9	=	=	PROPN
ejpam-6292	142	10	4	4	NUM
ejpam-6292	142	11	3	3	NUM
ejpam-6292	142	12	(	(	PUNCT
ejpam-6292	142	13	1−	1−	NUM
ejpam-6292	142	14	α1	α1	PROPN
ejpam-6292	142	15	)	)	PUNCT
ejpam-6292	142	16	,	,	PUNCT
ejpam-6292	142	17	a1	a1	NOUN
ejpam-6292	142	18	=	=	SYM
ejpam-6292	142	19	1	1	NUM
ejpam-6292	142	20	3	3	NUM
ejpam-6292	142	21	(	(	PUNCT
ejpam-6292	142	22	10α1	10α1	NUM
ejpam-6292	142	23	−	−	NOUN
ejpam-6292	142	24	1	1	NUM
ejpam-6292	142	25	)	)	PUNCT
ejpam-6292	142	26	compact	compact	ADJ
ejpam-6292	142	27	form	form	NOUN
ejpam-6292	142	28	:	:	PUNCT
ejpam-6292	142	29	v̄n+1	v̄n+1	NOUN
ejpam-6292	142	30	i	i	NOUN
ejpam-6292	142	31	=	=	NOUN
ejpam-6292	142	32	1	1	NUM
ejpam-6292	142	33	2	2	NUM
ejpam-6292	142	34	vni	vni	NOUN
ejpam-6292	142	35	e	e	NOUN
ejpam-6292	142	36	6∆t	6∆t	NUM
ejpam-6292	142	37	+	+	CCONJ
ejpam-6292	142	38	1	1	NUM
ejpam-6292	142	39	2	2	NUM
ejpam-6292	142	40	vni	vni	NOUN
ejpam-6292	142	41	e	e	NOUN
ejpam-6292	142	42	−5∆t	−5∆t	PROPN
ejpam-6292	142	43	+	+	CCONJ
ejpam-6292	142	44	(	(	PUNCT
ejpam-6292	142	45	e6∆t	e6∆t	ADJ
ejpam-6292	142	46	+	+	NUM
ejpam-6292	142	47	e−5∆t	e−5∆t	NOUN
ejpam-6292	142	48	−	−	NOUN
ejpam-6292	142	49	2	2	NUM
ejpam-6292	142	50	)	)	PUNCT
ejpam-6292	142	51	(	(	PUNCT
ejpam-6292	142	52	0.3β1a	0.3β1a	NUM
ejpam-6292	142	53	−1bvni	−1bvni	NOUN
ejpam-6292	142	54	+	+	CCONJ
ejpam-6292	142	55	g(vni	g(vni	PROPN
ejpam-6292	142	56	)	)	PUNCT
ejpam-6292	142	57	−	−	PROPN
ejpam-6292	142	58	1	1	NUM
ejpam-6292	142	59	2	2	NUM
ejpam-6292	142	60	vni	vni	NOUN
ejpam-6292	142	61	)	)	PUNCT
ejpam-6292	142	62	(	(	PUNCT
ejpam-6292	142	63	9	9	X
ejpam-6292	142	64	)	)	PUNCT
ejpam-6292	142	65	vn+1	vn+1	NOUN
ejpam-6292	143	1	i	i	NOUN
ejpam-6292	143	2	=	=	PUNCT
ejpam-6292	143	3	avni	avni	PROPN
ejpam-6292	143	4	+	+	CCONJ
ejpam-6292	143	5	bv̄n+1	bv̄n+1	PROPN
ejpam-6292	144	1	i	i	PRON
ejpam-6292	144	2	+	+	CCONJ
ejpam-6292	144	3	c(e∆t	c(e∆t	ADJ
ejpam-6292	144	4	−	−	NOUN
ejpam-6292	144	5	1	1	NUM
ejpam-6292	144	6	)	)	PUNCT
ejpam-6292	144	7	(	(	PUNCT
ejpam-6292	145	1	0.3β1a	0.3β1a	NUM
ejpam-6292	145	2	−1bv̄n+1	−1bv̄n+1	VERB
ejpam-6292	146	1	i	i	PRON
ejpam-6292	146	2	+	+	CCONJ
ejpam-6292	146	3	g(v̄n+1	g(v̄n+1	PROPN
ejpam-6292	146	4	i	i	PROPN
ejpam-6292	146	5	)	)	PUNCT
ejpam-6292	146	6	)	)	PUNCT
ejpam-6292	147	1	(	(	PUNCT
ejpam-6292	147	2	10	10	NUM
ejpam-6292	147	3	)	)	PUNCT
ejpam-6292	147	4	2.6	2.6	NUM
ejpam-6292	147	5	.	.	PUNCT
ejpam-6292	147	6	extension	extension	NOUN
ejpam-6292	147	7	to	to	ADP
ejpam-6292	147	8	fuzzy	fuzzy	ADJ
ejpam-6292	147	9	stochastic	stochastic	ADJ
ejpam-6292	147	10	model	model	NOUN
ejpam-6292	147	11	we	we	PRON
ejpam-6292	147	12	now	now	ADV
ejpam-6292	147	13	extend	extend	VERB
ejpam-6292	147	14	to	to	ADP
ejpam-6292	147	15	the	the	DET
ejpam-6292	147	16	stochastic	stochastic	ADJ
ejpam-6292	147	17	fuzzy	fuzzy	ADJ
ejpam-6292	147	18	model	model	NOUN
ejpam-6292	147	19	:	:	PUNCT
ejpam-6292	147	20	∂v	∂v	PROPN
ejpam-6292	147	21	=	=	SYM
ejpam-6292	147	22	0.3β1	0.3β1	NUM
ejpam-6292	147	23	∂2v	∂2v	PROPN
ejpam-6292	147	24	∂x2	∂x2	NOUN
ejpam-6292	147	25	dt+	dt+	NOUN
ejpam-6292	147	26	g(v)dt+	g(v)dt+	ADP
ejpam-6292	147	27	σvdw	σvdw	NOUN
ejpam-6292	147	28	(	(	PUNCT
ejpam-6292	147	29	11	11	NUM
ejpam-6292	147	30	)	)	PUNCT
ejpam-6292	147	31	here	here	ADV
ejpam-6292	147	32	,	,	PUNCT
ejpam-6292	147	33	dw	dw	VERB
ejpam-6292	147	34	∼	∼	NOUN
ejpam-6292	147	35	n	n	CCONJ
ejpam-6292	147	36	(	(	PUNCT
ejpam-6292	147	37	0,∆t	0,∆t	NOUN
ejpam-6292	147	38	)	)	PUNCT
ejpam-6292	147	39	is	be	AUX
ejpam-6292	147	40	the	the	DET
ejpam-6292	147	41	wiener	wiener	NOUN
ejpam-6292	147	42	increment	increment	NOUN
ejpam-6292	147	43	.	.	PUNCT
ejpam-6292	148	1	the	the	DET
ejpam-6292	148	2	first	first	ADJ
ejpam-6292	148	3	stage	stage	NOUN
ejpam-6292	148	4	remains	remain	VERB
ejpam-6292	148	5	unchanged	unchanged	ADJ
ejpam-6292	148	6	.	.	PUNCT
ejpam-6292	149	1	the	the	DET
ejpam-6292	149	2	second	second	ADJ
ejpam-6292	149	3	stage	stage	NOUN
ejpam-6292	149	4	becomes	become	VERB
ejpam-6292	149	5	:	:	PUNCT
ejpam-6292	149	6	vn+1	vn+1	NUM
ejpam-6292	150	1	i	i	NOUN
ejpam-6292	150	2	=	=	PUNCT
ejpam-6292	150	3	avni	avni	PROPN
ejpam-6292	150	4	+	+	CCONJ
ejpam-6292	150	5	bv̄n+1	bv̄n+1	PROPN
ejpam-6292	151	1	i	i	PRON
ejpam-6292	151	2	+	+	CCONJ
ejpam-6292	151	3	c(e∆t	c(e∆t	ADJ
ejpam-6292	151	4	−	−	NOUN
ejpam-6292	151	5	1	1	NUM
ejpam-6292	151	6	)	)	PUNCT
ejpam-6292	151	7	(	(	PUNCT
ejpam-6292	152	1	0.3β1a	0.3β1a	NUM
ejpam-6292	152	2	−1bv̄n+1	−1bv̄n+1	VERB
ejpam-6292	153	1	i	i	PRON
ejpam-6292	153	2	+	+	CCONJ
ejpam-6292	153	3	g(v̄n+1	g(v̄n+1	PROPN
ejpam-6292	153	4	i	i	PROPN
ejpam-6292	153	5	)	)	PUNCT
ejpam-6292	153	6	)	)	PUNCT
ejpam-6292	154	1	+	+	CCONJ
ejpam-6292	154	2	σvni	σvni	VERB
ejpam-6292	154	3	∆w	∆w	PROPN
ejpam-6292	154	4	(	(	PUNCT
ejpam-6292	154	5	12	12	NUM
ejpam-6292	154	6	)	)	PUNCT
ejpam-6292	154	7	this	this	DET
ejpam-6292	154	8	formulation	formulation	NOUN
ejpam-6292	154	9	enhances	enhance	VERB
ejpam-6292	154	10	stability	stability	NOUN
ejpam-6292	154	11	,	,	PUNCT
ejpam-6292	154	12	accuracy	accuracy	NOUN
ejpam-6292	154	13	,	,	PUNCT
ejpam-6292	154	14	and	and	CCONJ
ejpam-6292	154	15	efficiency	efficiency	NOUN
ejpam-6292	154	16	in	in	ADP
ejpam-6292	154	17	solving	solve	VERB
ejpam-6292	154	18	fuzzy	fuzzy	ADJ
ejpam-6292	154	19	stochastic	stochastic	ADJ
ejpam-6292	154	20	partial	partial	ADJ
ejpam-6292	154	21	differential	differential	NOUN
ejpam-6292	154	22	equations	equation	NOUN
ejpam-6292	154	23	.	.	PUNCT
ejpam-6292	155	1	3	3	X
ejpam-6292	155	2	.	.	X
ejpam-6292	155	3	stability	stability	NOUN
ejpam-6292	155	4	analysis	analysis	NOUN
ejpam-6292	155	5	the	the	DET
ejpam-6292	155	6	von	von	PROPN
ejpam-6292	155	7	neumann	neumann	PROPN
ejpam-6292	155	8	stability	stability	PROPN
ejpam-6292	155	9	analysis	analysis	NOUN
ejpam-6292	155	10	is	be	AUX
ejpam-6292	155	11	a	a	DET
ejpam-6292	155	12	widely	widely	ADV
ejpam-6292	155	13	used	use	VERB
ejpam-6292	155	14	criterion	criterion	NOUN
ejpam-6292	155	15	to	to	PART
ejpam-6292	155	16	determine	determine	VERB
ejpam-6292	155	17	the	the	DET
ejpam-6292	155	18	conditions	condition	NOUN
ejpam-6292	155	19	for	for	ADP
ejpam-6292	155	20	numerical	numerical	ADJ
ejpam-6292	155	21	stability	stability	NOUN
ejpam-6292	155	22	.	.	PUNCT
ejpam-6292	156	1	it	it	PRON
ejpam-6292	156	2	applies	apply	VERB
ejpam-6292	156	3	to	to	ADP
ejpam-6292	156	4	both	both	CCONJ
ejpam-6292	156	5	linear	linear	ADJ
ejpam-6292	156	6	and	and	CCONJ
ejpam-6292	156	7	nonlinear	nonlinear	ADJ
ejpam-6292	156	8	partial	partial	ADJ
ejpam-6292	156	9	differential	differential	NOUN
ejpam-6292	156	10	equations	equation	NOUN
ejpam-6292	156	11	(	(	PUNCT
ejpam-6292	156	12	pdes	pde	NOUN
ejpam-6292	156	13	)	)	PUNCT
ejpam-6292	156	14	.	.	PUNCT
ejpam-6292	157	1	for	for	ADP
ejpam-6292	157	2	linear	linear	PROPN
ejpam-6292	157	3	pdes	pde	NOUN
ejpam-6292	157	4	,	,	PUNCT
ejpam-6292	157	5	it	it	PRON
ejpam-6292	157	6	provides	provide	VERB
ejpam-6292	157	7	an	an	DET
ejpam-6292	157	8	exact	exact	ADJ
ejpam-6292	157	9	stability	stability	NOUN
ejpam-6292	157	10	condition	condition	NOUN
ejpam-6292	157	11	,	,	PUNCT
ejpam-6292	157	12	while	while	SCONJ
ejpam-6292	157	13	for	for	ADP
ejpam-6292	157	14	nonlinear	nonlinear	ADJ
ejpam-6292	157	15	pdes	pde	NOUN
ejpam-6292	157	16	,	,	PUNCT
ejpam-6292	157	17	it	it	PRON
ejpam-6292	157	18	gives	give	VERB
ejpam-6292	157	19	an	an	DET
ejpam-6292	157	20	estimate	estimate	NOUN
ejpam-6292	157	21	.	.	PUNCT
ejpam-6292	158	1	this	this	DET
ejpam-6292	158	2	analysis	analysis	NOUN
ejpam-6292	158	3	involves	involve	VERB
ejpam-6292	158	4	transforming	transform	VERB
ejpam-6292	158	5	the	the	DET
ejpam-6292	158	6	finite	finite	ADJ
ejpam-6292	158	7	difference	difference	NOUN
ejpam-6292	158	8	scheme	scheme	NOUN
ejpam-6292	158	9	into	into	ADP
ejpam-6292	158	10	a	a	DET
ejpam-6292	158	11	trigonometric	trigonometric	ADJ
ejpam-6292	158	12	form	form	NOUN
ejpam-6292	158	13	and	and	CCONJ
ejpam-6292	158	14	deriving	derive	VERB
ejpam-6292	158	15	stability	stability	NOUN
ejpam-6292	158	16	constraints	constraint	NOUN
ejpam-6292	158	17	.	.	PUNCT
ejpam-6292	159	1	m.	m.	PROPN
ejpam-6292	159	2	s.	s.	PROPN
ejpam-6292	159	3	arif	arif	PROPN
ejpam-6292	159	4	,	,	PUNCT
ejpam-6292	159	5	k.	k.	PROPN
ejpam-6292	159	6	abodayeh	abodayeh	PROPN
ejpam-6292	159	7	,	,	PUNCT
ejpam-6292	159	8	y.	y.	NOUN
ejpam-6292	159	9	nawaz	nawaz	PROPN
ejpam-6292	159	10	/	/	SYM
ejpam-6292	159	11	eur	eur	PROPN
ejpam-6292	159	12	.	.	PUNCT
ejpam-6292	160	1	j.	j.	PROPN
ejpam-6292	160	2	pure	pure	PROPN
ejpam-6292	160	3	appl	appl	PROPN
ejpam-6292	160	4	.	.	PROPN
ejpam-6292	160	5	math	math	PROPN
ejpam-6292	160	6	,	,	PUNCT
ejpam-6292	160	7	18	18	NUM
ejpam-6292	160	8	(	(	PUNCT
ejpam-6292	160	9	3	3	NUM
ejpam-6292	160	10	)	)	PUNCT
ejpam-6292	160	11	(	(	PUNCT
ejpam-6292	160	12	2025	2025	NUM
ejpam-6292	160	13	)	)	PUNCT
ejpam-6292	160	14	,	,	PUNCT
ejpam-6292	160	15	6292	6292	NUM
ejpam-6292	160	16	7	7	NUM
ejpam-6292	160	17	of	of	ADP
ejpam-6292	160	18	24	24	NUM
ejpam-6292	160	19	the	the	DET
ejpam-6292	160	20	fourier	fourier	NOUN
ejpam-6292	160	21	mode	mode	NOUN
ejpam-6292	160	22	transformations	transformation	NOUN
ejpam-6292	160	23	are	be	AUX
ejpam-6292	160	24	given	give	VERB
ejpam-6292	160	25	as	as	ADP
ejpam-6292	160	26	:	:	PUNCT
ejpam-6292	160	27	aeiiθ	aeiiθ	ADJ
ejpam-6292	160	28	=	=	SYM
ejpam-6292	160	29	α1e	α1e	PROPN
ejpam-6292	160	30	i(i−1)θ	i(i−1)θ	PROPN
ejpam-6292	160	31	+	+	CCONJ
ejpam-6292	160	32	eiiθ	eiiθ	NOUN
ejpam-6292	160	33	+	+	CCONJ
ejpam-6292	160	34	α1e	α1e	PROPN
ejpam-6292	160	35	i(i+1)θ	i(i+1)θ	PROPN
ejpam-6292	160	36	(	(	PUNCT
ejpam-6292	160	37	13	13	NUM
ejpam-6292	160	38	)	)	PUNCT
ejpam-6292	160	39	beiiθ	beiiθ	NOUN
ejpam-6292	160	40	=	=	SYM
ejpam-6292	160	41	a0	a0	PROPN
ejpam-6292	160	42	(	(	PUNCT
ejpam-6292	160	43	ei(i−1)θ	ei(i−1)θ	NOUN
ejpam-6292	160	44	−	−	PROPN
ejpam-6292	160	45	2eiiθ	2eiiθ	NUM
ejpam-6292	160	46	+	+	CCONJ
ejpam-6292	160	47	ei(i+1)θ	ei(i+1)θ	X
ejpam-6292	160	48	)	)	PUNCT
ejpam-6292	161	1	∆x2	∆x2	PRON
ejpam-6292	161	2	+	+	CCONJ
ejpam-6292	161	3	a1	a1	NOUN
ejpam-6292	161	4	(	(	PUNCT
ejpam-6292	161	5	ei(i−2)θ	ei(i−2)θ	NOUN
ejpam-6292	161	6	−	−	PROPN
ejpam-6292	161	7	2eiiθ	2eiiθ	NUM
ejpam-6292	161	8	+	+	CCONJ
ejpam-6292	161	9	ei(i+2)θ	ei(i+2)θ	PROPN
ejpam-6292	161	10	)	)	PUNCT
ejpam-6292	161	11	4∆x2	4∆x2	NUM
ejpam-6292	161	12	(	(	PUNCT
ejpam-6292	161	13	14	14	NUM
ejpam-6292	161	14	)	)	PUNCT
ejpam-6292	161	15	applying	apply	VERB
ejpam-6292	161	16	these	these	PRON
ejpam-6292	161	17	to	to	ADP
ejpam-6292	161	18	the	the	DET
ejpam-6292	161	19	first	first	ADJ
ejpam-6292	161	20	stage	stage	NOUN
ejpam-6292	161	21	of	of	ADP
ejpam-6292	161	22	the	the	DET
ejpam-6292	161	23	scheme	scheme	NOUN
ejpam-6292	161	24	with	with	ADP
ejpam-6292	161	25	g	g	PROPN
ejpam-6292	161	26	=	=	SYM
ejpam-6292	161	27	0	0	NUM
ejpam-6292	161	28	,	,	PUNCT
ejpam-6292	161	29	we	we	PRON
ejpam-6292	161	30	obtain	obtain	VERB
ejpam-6292	161	31	:	:	PUNCT
ejpam-6292	161	32	v̄n+1	v̄n+1	NOUN
ejpam-6292	162	1	i	i	NOUN
ejpam-6292	162	2	=	=	NOUN
ejpam-6292	162	3	1	1	NUM
ejpam-6292	162	4	2	2	NUM
ejpam-6292	162	5	vni	vni	NOUN
ejpam-6292	162	6	e	e	NOUN
ejpam-6292	162	7	6∆t	6∆t	NUM
ejpam-6292	162	8	+	+	CCONJ
ejpam-6292	162	9	1	1	NUM
ejpam-6292	162	10	2	2	NUM
ejpam-6292	162	11	vni	vni	NOUN
ejpam-6292	162	12	e	e	NOUN
ejpam-6292	162	13	−5∆t	−5∆t	PROPN
ejpam-6292	162	14	+	+	CCONJ
ejpam-6292	162	15	(	(	PUNCT
ejpam-6292	162	16	e6∆t	e6∆t	ADJ
ejpam-6292	162	17	+	+	NUM
ejpam-6292	162	18	e−5∆t	e−5∆t	NOUN
ejpam-6292	162	19	−	−	NOUN
ejpam-6292	162	20	2	2	NUM
ejpam-6292	162	21	)	)	PUNCT
ejpam-6292	162	22	{	{	PUNCT
ejpam-6292	162	23	0.3β1	0.3β1	PUNCT
ejpam-6292	163	1	[	[	PUNCT
ejpam-6292	163	2	4a0(cos	4a0(cos	NUM
ejpam-6292	163	3	θ	θ	NOUN
ejpam-6292	163	4	−	−	NOUN
ejpam-6292	163	5	1	1	NUM
ejpam-6292	163	6	)	)	PUNCT
ejpam-6292	163	7	+	+	NUM
ejpam-6292	163	8	a1(cos	a1(cos	PROPN
ejpam-6292	163	9	2θ	2θ	NUM
ejpam-6292	163	10	−	−	NOUN
ejpam-6292	163	11	1	1	NUM
ejpam-6292	163	12	)	)	PUNCT
ejpam-6292	163	13	2∆x2(2α1	2∆x2(2α1	NUM
ejpam-6292	163	14	cos	cos	ADP
ejpam-6292	163	15	θ	θ	PROPN
ejpam-6292	163	16	+	+	PROPN
ejpam-6292	163	17	1	1	NUM
ejpam-6292	163	18	)	)	PUNCT
ejpam-6292	163	19	]	]	PUNCT
ejpam-6292	164	1	−	−	PROPN
ejpam-6292	164	2	1	1	NUM
ejpam-6292	164	3	2	2	NUM
ejpam-6292	164	4	}	}	PUNCT
ejpam-6292	164	5	vni	vni	NOUN
ejpam-6292	164	6	(	(	PUNCT
ejpam-6292	164	7	15	15	NUM
ejpam-6292	164	8	)	)	PUNCT
ejpam-6292	164	9	define	define	NOUN
ejpam-6292	164	10	:	:	PUNCT
ejpam-6292	164	11	δ	δ	X
ejpam-6292	164	12	=	=	SYM
ejpam-6292	164	13	1	1	NUM
ejpam-6292	164	14	2	2	NUM
ejpam-6292	164	15	e6∆t	e6∆t	NOUN
ejpam-6292	164	16	+	+	CCONJ
ejpam-6292	164	17	1	1	NUM
ejpam-6292	164	18	2	2	NUM
ejpam-6292	164	19	e−5∆t	e−5∆t	NOUN
ejpam-6292	164	20	+	+	CCONJ
ejpam-6292	164	21	(	(	PUNCT
ejpam-6292	164	22	e6∆t	e6∆t	ADJ
ejpam-6292	164	23	+	+	NUM
ejpam-6292	164	24	e−5∆t	e−5∆t	NOUN
ejpam-6292	164	25	−	−	NOUN
ejpam-6292	164	26	2	2	NUM
ejpam-6292	164	27	)	)	PUNCT
ejpam-6292	164	28	{	{	PUNCT
ejpam-6292	164	29	0.3β1	0.3β1	PUNCT
ejpam-6292	165	1	[	[	PUNCT
ejpam-6292	165	2	4a0(cos	4a0(cos	NUM
ejpam-6292	165	3	θ	θ	NOUN
ejpam-6292	165	4	−	−	NOUN
ejpam-6292	165	5	1	1	NUM
ejpam-6292	165	6	)	)	PUNCT
ejpam-6292	165	7	+	+	NUM
ejpam-6292	165	8	a1(cos	a1(cos	PROPN
ejpam-6292	165	9	2θ	2θ	NUM
ejpam-6292	165	10	−	−	NOUN
ejpam-6292	165	11	1	1	NUM
ejpam-6292	165	12	)	)	PUNCT
ejpam-6292	165	13	2∆x2(2α1	2∆x2(2α1	NUM
ejpam-6292	165	14	cos	cos	ADP
ejpam-6292	165	15	θ	θ	PROPN
ejpam-6292	165	16	+	+	PROPN
ejpam-6292	165	17	1	1	NUM
ejpam-6292	165	18	)	)	PUNCT
ejpam-6292	165	19	]	]	PUNCT
ejpam-6292	166	1	−	−	PROPN
ejpam-6292	166	2	1	1	NUM
ejpam-6292	166	3	2	2	NUM
ejpam-6292	166	4	}	}	PUNCT
ejpam-6292	166	5	(	(	PUNCT
ejpam-6292	166	6	16	16	NUM
ejpam-6292	166	7	)	)	PUNCT
ejpam-6292	166	8	so	so	ADV
ejpam-6292	166	9	:	:	PUNCT
ejpam-6292	166	10	v̄n+1	v̄n+1	NOUN
ejpam-6292	167	1	i	i	NOUN
ejpam-6292	167	2	=	=	PROPN
ejpam-6292	167	3	δvni	δvni	NOUN
ejpam-6292	167	4	(	(	PUNCT
ejpam-6292	167	5	17	17	NUM
ejpam-6292	167	6	)	)	PUNCT
ejpam-6292	167	7	substitute	substitute	NOUN
ejpam-6292	167	8	into	into	ADP
ejpam-6292	167	9	the	the	DET
ejpam-6292	167	10	second	second	ADJ
ejpam-6292	167	11	stage	stage	NOUN
ejpam-6292	167	12	:	:	PUNCT
ejpam-6292	167	13	vn+1	vn+1	PROPN
ejpam-6292	167	14	i	i	NOUN
ejpam-6292	167	15	=	=	PUNCT
ejpam-6292	167	16	avni	avni	PROPN
ejpam-6292	167	17	+	+	NUM
ejpam-6292	167	18	bδvni	bδvni	NOUN
ejpam-6292	168	1	+	+	CCONJ
ejpam-6292	168	2	c(e∆t	c(e∆t	NOUN
ejpam-6292	168	3	−	−	NOUN
ejpam-6292	168	4	1	1	NUM
ejpam-6292	168	5	)	)	PUNCT
ejpam-6292	168	6	[	[	PUNCT
ejpam-6292	168	7	0.3β1	0.3β1	NUM
ejpam-6292	168	8	(	(	PUNCT
ejpam-6292	168	9	4a0(cos	4a0(cos	NUM
ejpam-6292	168	10	θ	θ	NOUN
ejpam-6292	168	11	−	−	NOUN
ejpam-6292	168	12	1	1	NUM
ejpam-6292	168	13	)	)	PUNCT
ejpam-6292	168	14	+	+	NUM
ejpam-6292	168	15	a1(cos	a1(cos	PROPN
ejpam-6292	168	16	2θ	2θ	NUM
ejpam-6292	168	17	−	−	NOUN
ejpam-6292	168	18	1	1	NUM
ejpam-6292	168	19	)	)	PUNCT
ejpam-6292	168	20	2∆x2(2α1	2∆x2(2α1	NUM
ejpam-6292	168	21	cos	cos	ADP
ejpam-6292	168	22	θ	θ	PROPN
ejpam-6292	168	23	+	+	PROPN
ejpam-6292	168	24	1	1	NUM
ejpam-6292	168	25	)	)	PUNCT
ejpam-6292	168	26	)	)	PUNCT
ejpam-6292	168	27	]	]	PUNCT
ejpam-6292	168	28	δvni	δvni	NOUN
ejpam-6292	168	29	+	+	CCONJ
ejpam-6292	168	30	σvni	σvni	VERB
ejpam-6292	168	31	∆w	∆w	PROPN
ejpam-6292	168	32	(	(	PUNCT
ejpam-6292	168	33	18	18	NUM
ejpam-6292	168	34	)	)	PUNCT
ejpam-6292	168	35	let	let	VERB
ejpam-6292	168	36	:	:	PUNCT
ejpam-6292	168	37	δ1	δ1	VERB
ejpam-6292	168	38	=	=	PRON
ejpam-6292	168	39	a+	a+	PUNCT
ejpam-6292	168	40	bδ	bδ	ADP
ejpam-6292	169	1	+	+	CCONJ
ejpam-6292	169	2	c(e∆t	c(e∆t	NOUN
ejpam-6292	169	3	−	−	PROPN
ejpam-6292	169	4	1	1	NUM
ejpam-6292	169	5	)	)	PUNCT
ejpam-6292	169	6	[	[	PUNCT
ejpam-6292	169	7	0.3β1	0.3β1	NUM
ejpam-6292	169	8	(	(	PUNCT
ejpam-6292	169	9	4a0(cos	4a0(cos	NUM
ejpam-6292	169	10	θ	θ	NOUN
ejpam-6292	169	11	−	−	NOUN
ejpam-6292	169	12	1	1	NUM
ejpam-6292	169	13	)	)	PUNCT
ejpam-6292	169	14	+	+	NUM
ejpam-6292	169	15	a1(cos	a1(cos	PROPN
ejpam-6292	169	16	2θ	2θ	NUM
ejpam-6292	169	17	−	−	NOUN
ejpam-6292	169	18	1	1	NUM
ejpam-6292	169	19	)	)	PUNCT
ejpam-6292	169	20	2∆x2(2α1	2∆x2(2α1	NUM
ejpam-6292	169	21	cos	cos	ADP
ejpam-6292	169	22	θ	θ	PROPN
ejpam-6292	169	23	+	+	PROPN
ejpam-6292	169	24	1	1	NUM
ejpam-6292	169	25	)	)	PUNCT
ejpam-6292	169	26	)	)	PUNCT
ejpam-6292	169	27	]	]	PUNCT
ejpam-6292	170	1	δ	δ	PROPN
ejpam-6292	170	2	(	(	PUNCT
ejpam-6292	170	3	19	19	NUM
ejpam-6292	170	4	)	)	PUNCT
ejpam-6292	170	5	then	then	ADV
ejpam-6292	170	6	the	the	DET
ejpam-6292	170	7	update	update	NOUN
ejpam-6292	170	8	becomes	become	VERB
ejpam-6292	170	9	:	:	PUNCT
ejpam-6292	170	10	vn+1	vn+1	PROPN
ejpam-6292	170	11	i	i	NOUN
ejpam-6292	170	12	=	=	PUNCT
ejpam-6292	170	13	δ1v	δ1v	PROPN
ejpam-6292	170	14	n	n	PROPN
ejpam-6292	170	15	i	i	PRON
ejpam-6292	170	16	+	+	CCONJ
ejpam-6292	170	17	σvni	σvni	VERB
ejpam-6292	170	18	∆w	∆w	PROPN
ejpam-6292	170	19	(	(	PUNCT
ejpam-6292	170	20	20	20	NUM
ejpam-6292	170	21	)	)	PUNCT
ejpam-6292	170	22	and	and	CCONJ
ejpam-6292	170	23	the	the	DET
ejpam-6292	170	24	amplification	amplification	NOUN
ejpam-6292	170	25	factor	factor	NOUN
ejpam-6292	170	26	is	be	AUX
ejpam-6292	170	27	:	:	PUNCT
ejpam-6292	170	28	vn+1	vn+1	VERB
ejpam-6292	171	1	i	i	PRON
ejpam-6292	171	2	vni	vni	VERB
ejpam-6292	171	3	=	=	NOUN
ejpam-6292	171	4	δ1	δ1	NOUN
ejpam-6292	171	5	+	+	CCONJ
ejpam-6292	171	6	σ∆w	σ∆w	X
ejpam-6292	171	7	(	(	PUNCT
ejpam-6292	171	8	21	21	NUM
ejpam-6292	171	9	)	)	PUNCT
ejpam-6292	171	10	taking	take	VERB
ejpam-6292	171	11	expectations	expectation	NOUN
ejpam-6292	171	12	:	:	PUNCT
ejpam-6292	171	13	e	e	X
ejpam-6292	171	14	∣∣∣∣vn+1	∣∣∣∣vn+1	PROPN
ejpam-6292	171	15	i	i	PRON
ejpam-6292	171	16	vni	vni	VERB
ejpam-6292	171	17	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6292	171	18	≤	≤	NOUN
ejpam-6292	172	1	2e|δ1|2	2e|δ1|2	NUM
ejpam-6292	172	2	+	+	CCONJ
ejpam-6292	172	3	2σ2e|∆w	2σ2e|∆w	NUM
ejpam-6292	172	4	|2	|2	NUM
ejpam-6292	172	5	(	(	PUNCT
ejpam-6292	172	6	22	22	NUM
ejpam-6292	172	7	)	)	PUNCT
ejpam-6292	172	8	if	if	SCONJ
ejpam-6292	172	9	|δ1|2	|δ1|2	PROPN
ejpam-6292	172	10	<	<	X
ejpam-6292	172	11	1	1	NUM
ejpam-6292	172	12	2	2	NUM
ejpam-6292	172	13	,	,	PUNCT
ejpam-6292	172	14	then	then	ADV
ejpam-6292	172	15	:	:	PUNCT
ejpam-6292	172	16	e	e	X
ejpam-6292	172	17	∣∣∣∣vn+1	∣∣∣∣vn+1	PROPN
ejpam-6292	172	18	i	i	PRON
ejpam-6292	172	19	vni	vni	VERB
ejpam-6292	172	20	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6292	172	21	≤	≤	ADV
ejpam-6292	172	22	1	1	NUM
ejpam-6292	172	23	+	+	NUM
ejpam-6292	172	24	2σ2e|∆w	2σ2e|∆w	NUM
ejpam-6292	172	25	|2	|2	NUM
ejpam-6292	172	26	(	(	PUNCT
ejpam-6292	172	27	23	23	NUM
ejpam-6292	172	28	)	)	PUNCT
ejpam-6292	172	29	m.	m.	NOUN
ejpam-6292	172	30	s.	s.	PROPN
ejpam-6292	172	31	arif	arif	PROPN
ejpam-6292	172	32	,	,	PUNCT
ejpam-6292	172	33	k.	k.	PROPN
ejpam-6292	172	34	abodayeh	abodayeh	PROPN
ejpam-6292	172	35	,	,	PUNCT
ejpam-6292	172	36	y.	y.	NOUN
ejpam-6292	172	37	nawaz	nawaz	PROPN
ejpam-6292	172	38	/	/	SYM
ejpam-6292	172	39	eur	eur	PROPN
ejpam-6292	172	40	.	.	PUNCT
ejpam-6292	173	1	j.	j.	PROPN
ejpam-6292	173	2	pure	pure	PROPN
ejpam-6292	173	3	appl	appl	PROPN
ejpam-6292	173	4	.	.	PROPN
ejpam-6292	173	5	math	math	PROPN
ejpam-6292	173	6	,	,	PUNCT
ejpam-6292	173	7	18	18	NUM
ejpam-6292	173	8	(	(	PUNCT
ejpam-6292	173	9	3	3	NUM
ejpam-6292	173	10	)	)	PUNCT
ejpam-6292	173	11	(	(	PUNCT
ejpam-6292	173	12	2025	2025	NUM
ejpam-6292	173	13	)	)	PUNCT
ejpam-6292	173	14	,	,	PUNCT
ejpam-6292	173	15	6292	6292	NUM
ejpam-6292	173	16	8	8	NUM
ejpam-6292	173	17	of	of	ADP
ejpam-6292	173	18	24	24	NUM
ejpam-6292	173	19	let	let	VERB
ejpam-6292	173	20	λ	λ	X
ejpam-6292	173	21	=	=	SYM
ejpam-6292	173	22	2σ2	2σ2	NUM
ejpam-6292	173	23	,	,	PUNCT
ejpam-6292	173	24	then	then	ADV
ejpam-6292	173	25	since	since	SCONJ
ejpam-6292	173	26	e|∆w	e|∆w	NOUN
ejpam-6292	173	27	|2	|2	NUM
ejpam-6292	173	28	=	=	SYM
ejpam-6292	173	29	∆t	∆t	PROPN
ejpam-6292	173	30	,	,	PUNCT
ejpam-6292	173	31	it	it	PRON
ejpam-6292	173	32	follows	follow	VERB
ejpam-6292	173	33	:	:	PUNCT
ejpam-6292	173	34	e	e	X
ejpam-6292	173	35	∣∣∣∣vn+1	∣∣∣∣vn+1	PROPN
ejpam-6292	173	36	i	i	PRON
ejpam-6292	173	37	vni	vni	VERB
ejpam-6292	173	38	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6292	173	39	≤	≤	PROPN
ejpam-6292	173	40	1	1	NUM
ejpam-6292	173	41	+	+	CCONJ
ejpam-6292	173	42	λ∆t	λ∆t	NOUN
ejpam-6292	173	43	(	(	PUNCT
ejpam-6292	173	44	24	24	NUM
ejpam-6292	173	45	)	)	PUNCT
ejpam-6292	173	46	hence	hence	ADV
ejpam-6292	173	47	,	,	PUNCT
ejpam-6292	173	48	the	the	DET
ejpam-6292	173	49	proposed	propose	VERB
ejpam-6292	173	50	scheme	scheme	NOUN
ejpam-6292	173	51	is	be	AUX
ejpam-6292	173	52	conditionally	conditionally	ADV
ejpam-6292	173	53	stable	stable	ADJ
ejpam-6292	173	54	in	in	ADP
ejpam-6292	173	55	the	the	DET
ejpam-6292	173	56	mean	mean	ADJ
ejpam-6292	173	57	square	square	ADJ
ejpam-6292	173	58	sense	sense	NOUN
ejpam-6292	173	59	.	.	PUNCT
ejpam-6292	174	1	theorem	theorem	NOUN
ejpam-6292	174	2	1	1	NUM
ejpam-6292	174	3	.	.	PUNCT
ejpam-6292	175	1	the	the	DET
ejpam-6292	175	2	proposed	propose	VERB
ejpam-6292	175	3	scheme	scheme	NOUN
ejpam-6292	175	4	(	(	PUNCT
ejpam-6292	175	5	10	10	NUM
ejpam-6292	175	6	)	)	PUNCT
ejpam-6292	175	7	and	and	CCONJ
ejpam-6292	175	8	(	(	PUNCT
ejpam-6292	175	9	14	14	NUM
ejpam-6292	175	10	)	)	PUNCT
ejpam-6292	175	11	with	with	ADP
ejpam-6292	175	12	g	g	PROPN
ejpam-6292	175	13	=	=	SYM
ejpam-6292	175	14	0	0	NUM
ejpam-6292	175	15	is	be	AUX
ejpam-6292	175	16	consistent	consistent	ADJ
ejpam-6292	175	17	in	in	ADP
ejpam-6292	175	18	the	the	DET
ejpam-6292	175	19	mean	mean	ADJ
ejpam-6292	175	20	square	square	ADJ
ejpam-6292	175	21	sense	sense	NOUN
ejpam-6292	175	22	.	.	PUNCT
ejpam-6292	176	1	proof	proof	NOUN
ejpam-6292	176	2	.	.	PUNCT
ejpam-6292	177	1	let	let	VERB
ejpam-6292	177	2	g	g	PRON
ejpam-6292	177	3	be	be	AUX
ejpam-6292	177	4	a	a	DET
ejpam-6292	177	5	smooth	smooth	ADJ
ejpam-6292	177	6	function	function	NOUN
ejpam-6292	177	7	.	.	PUNCT
ejpam-6292	178	1	define	define	VERB
ejpam-6292	178	2	:	:	PUNCT
ejpam-6292	178	3	l(g)ni	l(g)ni	PROPN
ejpam-6292	178	4	=	=	SYM
ejpam-6292	178	5	g((n+	g((n+	PROPN
ejpam-6292	178	6	1)∆t	1)∆t	NUM
ejpam-6292	178	7	,	,	PUNCT
ejpam-6292	178	8	i∆x)−g(n∆t	i∆x)−g(n∆t	PRON
ejpam-6292	178	9	,	,	PUNCT
ejpam-6292	178	10	i∆x)−	i∆x)−	PROPN
ejpam-6292	178	11	0.3β1	0.3β1	NUM
ejpam-6292	178	12	∫	∫	PROPN
ejpam-6292	178	13	(	(	PUNCT
ejpam-6292	178	14	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	178	15	n∆t	n∆t	PROPN
ejpam-6292	178	16	gxx(s	gxx(s	PROPN
ejpam-6292	178	17	,	,	PUNCT
ejpam-6292	178	18	i∆x	i∆x	X
ejpam-6292	178	19	)	)	PUNCT
ejpam-6292	178	20	ds	ds	NOUN
ejpam-6292	178	21	−	−	PROPN
ejpam-6292	178	22	σ	σ	PROPN
ejpam-6292	178	23	∫	∫	PROPN
ejpam-6292	178	24	(	(	PUNCT
ejpam-6292	178	25	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	178	26	n∆t	n∆t	PROPN
ejpam-6292	178	27	g(s	g(s	PROPN
ejpam-6292	178	28	,	,	PUNCT
ejpam-6292	178	29	i∆x	i∆x	PROPN
ejpam-6292	178	30	)	)	PUNCT
ejpam-6292	178	31	dw	dw	NOUN
ejpam-6292	178	32	(	(	PUNCT
ejpam-6292	178	33	s	s	NOUN
ejpam-6292	178	34	)	)	PUNCT
ejpam-6292	178	35	(	(	PUNCT
ejpam-6292	178	36	25	25	NUM
ejpam-6292	178	37	)	)	PUNCT
ejpam-6292	178	38	ln	ln	NOUN
ejpam-6292	179	1	i	i	PRON
ejpam-6292	179	2	g	g	NOUN
ejpam-6292	179	3	=	=	SYM
ejpam-6292	179	4	g((n+	g((n+	PROPN
ejpam-6292	179	5	1)∆t	1)∆t	NUM
ejpam-6292	179	6	,	,	PUNCT
ejpam-6292	179	7	i∆x)−g(n∆t	i∆x)−g(n∆t	PRON
ejpam-6292	179	8	,	,	PUNCT
ejpam-6292	179	9	i∆x)−	i∆x)−	PROPN
ejpam-6292	179	10	0.3β1b(e	0.3β1b(e	NOUN
ejpam-6292	179	11	6∆t	6∆t	NUM
ejpam-6292	180	1	+	+	CCONJ
ejpam-6292	180	2	e−5∆t	e−5∆t	NOUN
ejpam-6292	180	3	−	−	PROPN
ejpam-6292	181	1	2)a−1bg(n∆t	2)a−1bg(n∆t	NUM
ejpam-6292	181	2	,	,	PUNCT
ejpam-6292	181	3	i∆x	i∆x	X
ejpam-6292	181	4	)	)	PUNCT
ejpam-6292	181	5	−	−	PROPN
ejpam-6292	181	6	c	c	PROPN
ejpam-6292	181	7	0.3β1(e	0.3β1(e	PROPN
ejpam-6292	181	8	∆t	∆t	PROPN
ejpam-6292	181	9	−	−	PROPN
ejpam-6292	181	10	1)a−1bḡ((n+	1)a−1bḡ((n+	PROPN
ejpam-6292	181	11	1)∆t	1)∆t	NUM
ejpam-6292	181	12	,	,	PUNCT
ejpam-6292	181	13	i∆x)−	i∆x)−	PROPN
ejpam-6292	181	14	σg(n∆t	σg(n∆t	PROPN
ejpam-6292	181	15	,	,	PUNCT
ejpam-6292	181	16	i∆x)(w	i∆x)(w	NOUN
ejpam-6292	181	17	(	(	PUNCT
ejpam-6292	181	18	(	(	PUNCT
ejpam-6292	181	19	n+	n+	NUM
ejpam-6292	181	20	1)∆t)−w	1)∆t)−w	NUM
ejpam-6292	181	21	(	(	PUNCT
ejpam-6292	181	22	n∆t	n∆t	NOUN
ejpam-6292	181	23	)	)	PUNCT
ejpam-6292	181	24	)	)	PUNCT
ejpam-6292	182	1	(	(	PUNCT
ejpam-6292	182	2	26	26	NUM
ejpam-6292	182	3	)	)	PUNCT
ejpam-6292	182	4	where	where	SCONJ
ejpam-6292	182	5	ḡ((n+	ḡ((n+	PROPN
ejpam-6292	182	6	1)∆t	1)∆t	NUM
ejpam-6292	182	7	,	,	PUNCT
ejpam-6292	182	8	i∆x	i∆x	X
ejpam-6292	182	9	)	)	PUNCT
ejpam-6292	182	10	=	=	SYM
ejpam-6292	182	11	1	1	NUM
ejpam-6292	182	12	2	2	NUM
ejpam-6292	182	13	g((n+	g((n+	NOUN
ejpam-6292	182	14	1)∆t	1)∆t	NUM
ejpam-6292	182	15	,	,	PUNCT
ejpam-6292	182	16	i∆x)e6∆t	i∆x)e6∆t	PROPN
ejpam-6292	182	17	+	+	CCONJ
ejpam-6292	182	18	1	1	NUM
ejpam-6292	182	19	2	2	NUM
ejpam-6292	182	20	g(n∆t	g(n∆t	NOUN
ejpam-6292	182	21	,	,	PUNCT
ejpam-6292	182	22	i∆x)e−5∆t	i∆x)e−5∆t	PUNCT
ejpam-6292	183	1	+	+	CCONJ
ejpam-6292	183	2	(	(	PUNCT
ejpam-6292	183	3	e6∆t	e6∆t	ADJ
ejpam-6292	183	4	+	+	NUM
ejpam-6292	183	5	e−5∆t	e−5∆t	NOUN
ejpam-6292	183	6	−	−	NOUN
ejpam-6292	183	7	2	2	NUM
ejpam-6292	183	8	)	)	PUNCT
ejpam-6292	183	9	[	[	PUNCT
ejpam-6292	183	10	a−1bg(n∆t	a−1bg(n∆t	PROPN
ejpam-6292	183	11	,	,	PUNCT
ejpam-6292	183	12	i∆x)−	i∆x)−	PROPN
ejpam-6292	183	13	1	1	NUM
ejpam-6292	183	14	2	2	NUM
ejpam-6292	183	15	g(n∆t	g(n∆t	NOUN
ejpam-6292	183	16	,	,	PUNCT
ejpam-6292	183	17	i∆x	i∆x	PROPN
ejpam-6292	183	18	)	)	PUNCT
ejpam-6292	183	19	]	]	PUNCT
ejpam-6292	183	20	subtracting	subtract	VERB
ejpam-6292	183	21	(	(	PUNCT
ejpam-6292	183	22	26	26	NUM
ejpam-6292	183	23	)	)	PUNCT
ejpam-6292	183	24	from	from	ADP
ejpam-6292	183	25	(	(	PUNCT
ejpam-6292	183	26	25	25	NUM
ejpam-6292	183	27	)	)	PUNCT
ejpam-6292	183	28	,	,	PUNCT
ejpam-6292	183	29	we	we	PRON
ejpam-6292	183	30	have	have	VERB
ejpam-6292	183	31	:	:	PUNCT
ejpam-6292	184	1	e	e	X
ejpam-6292	184	2	|l(g)ni	|l(g)ni	PROPN
ejpam-6292	184	3	−	−	PROPN
ejpam-6292	185	1	ln	ln	INTJ
ejpam-6292	186	1	i	i	PRON
ejpam-6292	186	2	g|2	g|2	VERB
ejpam-6292	186	3	≤	≤	X
ejpam-6292	187	1	e	e	NOUN
ejpam-6292	187	2	∣∣∣∣∣−0.3β1	∣∣∣∣∣−0.3β1	PROPN
ejpam-6292	187	3	∫	∫	PROPN
ejpam-6292	187	4	(	(	PUNCT
ejpam-6292	187	5	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	187	6	n∆t	n∆t	PROPN
ejpam-6292	187	7	gxx(s	gxx(s	PROPN
ejpam-6292	187	8	,	,	PUNCT
ejpam-6292	187	9	i∆x	i∆x	X
ejpam-6292	187	10	)	)	PUNCT
ejpam-6292	187	11	ds−	ds−	PROPN
ejpam-6292	187	12	σ	σ	PROPN
ejpam-6292	187	13	∫	∫	PROPN
ejpam-6292	187	14	(	(	PUNCT
ejpam-6292	187	15	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	187	16	n∆t	n∆t	PROPN
ejpam-6292	187	17	g(s	g(s	PROPN
ejpam-6292	187	18	,	,	PUNCT
ejpam-6292	187	19	i∆x	i∆x	PROPN
ejpam-6292	187	20	)	)	PUNCT
ejpam-6292	187	21	dw	dw	NOUN
ejpam-6292	187	22	(	(	PUNCT
ejpam-6292	187	23	s	s	NOUN
ejpam-6292	187	24	)	)	PUNCT
ejpam-6292	187	25	+0.3β1b(e	+0.3β1b(e	ADJ
ejpam-6292	187	26	6∆t	6∆t	NUM
ejpam-6292	187	27	+	+	CCONJ
ejpam-6292	187	28	e−5∆t	e−5∆t	NOUN
ejpam-6292	187	29	−	−	PROPN
ejpam-6292	188	1	2)a−1bg(n∆t	2)a−1bg(n∆t	NUM
ejpam-6292	188	2	,	,	PUNCT
ejpam-6292	188	3	i∆x	i∆x	X
ejpam-6292	188	4	)	)	PUNCT
ejpam-6292	189	1	+	+	CCONJ
ejpam-6292	189	2	0.3β1(e	0.3β1(e	ADJ
ejpam-6292	189	3	∆t	∆t	PROPN
ejpam-6292	189	4	−	−	PROPN
ejpam-6292	189	5	1)a−1bḡ((n+	1)a−1bḡ((n+	PROPN
ejpam-6292	189	6	1)∆t	1)∆t	NUM
ejpam-6292	189	7	,	,	PUNCT
ejpam-6292	189	8	i∆x	i∆x	X
ejpam-6292	189	9	)	)	PUNCT
ejpam-6292	190	1	+	+	PROPN
ejpam-6292	190	2	σg(n∆t	σg(n∆t	PROPN
ejpam-6292	190	3	,	,	PUNCT
ejpam-6292	190	4	i∆x)(w	i∆x)(w	NOUN
ejpam-6292	190	5	(	(	PUNCT
ejpam-6292	190	6	(	(	PUNCT
ejpam-6292	190	7	n+	n+	NUM
ejpam-6292	190	8	1)∆t)−w	1)∆t)−w	NUM
ejpam-6292	190	9	(	(	PUNCT
ejpam-6292	190	10	n∆t))|2	n∆t))|2	PROPN
ejpam-6292	190	11	(	(	PUNCT
ejpam-6292	190	12	27	27	NUM
ejpam-6292	190	13	)	)	PUNCT
ejpam-6292	190	14	inequality	inequality	NOUN
ejpam-6292	190	15	(	(	PUNCT
ejpam-6292	190	16	27	27	NUM
ejpam-6292	190	17	)	)	PUNCT
ejpam-6292	190	18	becomes	become	VERB
ejpam-6292	190	19	:	:	PUNCT
ejpam-6292	190	20	e	e	X
ejpam-6292	190	21	|l(g)ni	|l(g)ni	PROPN
ejpam-6292	190	22	−	−	PROPN
ejpam-6292	191	1	ln	ln	INTJ
ejpam-6292	192	1	i	i	PRON
ejpam-6292	192	2	g|2	g|2	PROPN
ejpam-6292	192	3	≤	≤	ADJ
ejpam-6292	192	4	2(0.3β1	2(0.3β1	NOUN
ejpam-6292	192	5	)	)	PUNCT
ejpam-6292	192	6	2e	2e	PROPN
ejpam-6292	192	7	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6292	192	8	∫	∫	PROPN
ejpam-6292	192	9	(	(	PUNCT
ejpam-6292	192	10	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	192	11	n∆t	n∆t	PROPN
ejpam-6292	192	12	gxx(s	gxx(s	PROPN
ejpam-6292	192	13	,	,	PUNCT
ejpam-6292	192	14	i∆x	i∆x	X
ejpam-6292	192	15	)	)	PUNCT
ejpam-6292	192	16	ds−	ds−	PROPN
ejpam-6292	192	17	b(e6∆t	b(e6∆t	VERB
ejpam-6292	192	18	+	+	CCONJ
ejpam-6292	192	19	e−5∆t	e−5∆t	NOUN
ejpam-6292	193	1	−	−	PROPN
ejpam-6292	193	2	2)a−1bg(n∆t	2)a−1bg(n∆t	NUM
ejpam-6292	193	3	,	,	PUNCT
ejpam-6292	193	4	i∆x	i∆x	X
ejpam-6292	193	5	)	)	PUNCT
ejpam-6292	194	1	+	+	PROPN
ejpam-6292	194	2	c(e∆t	c(e∆t	NOUN
ejpam-6292	194	3	−	−	PROPN
ejpam-6292	194	4	1)a−1bḡ((n+	1)a−1bḡ((n+	NUM
ejpam-6292	194	5	1)∆t	1)∆t	NUM
ejpam-6292	194	6	,	,	PUNCT
ejpam-6292	194	7	i∆x	i∆x	PROPN
ejpam-6292	194	8	)	)	PUNCT
ejpam-6292	194	9	∣∣2	∣∣2	PROPN
ejpam-6292	194	10	+	+	NUM
ejpam-6292	194	11	2σ2e	2σ2e	NUM
ejpam-6292	194	12	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6292	194	13	∫	∫	PROPN
ejpam-6292	194	14	(	(	PUNCT
ejpam-6292	194	15	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	194	16	n∆t	n∆t	PROPN
ejpam-6292	194	17	g(s	g(s	PROPN
ejpam-6292	194	18	,	,	PUNCT
ejpam-6292	194	19	i∆x	i∆x	PROPN
ejpam-6292	194	20	)	)	PUNCT
ejpam-6292	194	21	dw	dw	NOUN
ejpam-6292	194	22	(	(	PUNCT
ejpam-6292	194	23	s)−g(n∆t	s)−g(n∆t	PROPN
ejpam-6292	194	24	,	,	PUNCT
ejpam-6292	194	25	i∆x)(w	i∆x)(w	NOUN
ejpam-6292	194	26	(	(	PUNCT
ejpam-6292	194	27	(	(	PUNCT
ejpam-6292	194	28	n+	n+	NUM
ejpam-6292	194	29	1)∆t)−w	1)∆t)−w	NUM
ejpam-6292	194	30	(	(	PUNCT
ejpam-6292	194	31	n∆t	n∆t	NOUN
ejpam-6292	194	32	)	)	PUNCT
ejpam-6292	194	33	)	)	PUNCT
ejpam-6292	195	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6292	195	2	2	2	NUM
ejpam-6292	195	3	(	(	PUNCT
ejpam-6292	195	4	28	28	NUM
ejpam-6292	195	5	)	)	PUNCT
ejpam-6292	195	6	m.	m.	NOUN
ejpam-6292	195	7	s.	s.	PROPN
ejpam-6292	195	8	arif	arif	PROPN
ejpam-6292	195	9	,	,	PUNCT
ejpam-6292	195	10	k.	k.	PROPN
ejpam-6292	195	11	abodayeh	abodayeh	PROPN
ejpam-6292	195	12	,	,	PUNCT
ejpam-6292	195	13	y.	y.	NOUN
ejpam-6292	195	14	nawaz	nawaz	PROPN
ejpam-6292	195	15	/	/	SYM
ejpam-6292	195	16	eur	eur	PROPN
ejpam-6292	195	17	.	.	PUNCT
ejpam-6292	196	1	j.	j.	PROPN
ejpam-6292	196	2	pure	pure	PROPN
ejpam-6292	196	3	appl	appl	PROPN
ejpam-6292	196	4	.	.	PROPN
ejpam-6292	196	5	math	math	PROPN
ejpam-6292	196	6	,	,	PUNCT
ejpam-6292	196	7	18	18	NUM
ejpam-6292	196	8	(	(	PUNCT
ejpam-6292	196	9	3	3	NUM
ejpam-6292	196	10	)	)	PUNCT
ejpam-6292	196	11	(	(	PUNCT
ejpam-6292	196	12	2025	2025	NUM
ejpam-6292	196	13	)	)	PUNCT
ejpam-6292	196	14	,	,	PUNCT
ejpam-6292	196	15	6292	6292	NUM
ejpam-6292	196	16	9	9	NUM
ejpam-6292	196	17	of	of	ADP
ejpam-6292	196	18	24	24	NUM
ejpam-6292	196	19	using	use	VERB
ejpam-6292	196	20	the	the	DET
ejpam-6292	196	21	itô	itô	PROPN
ejpam-6292	196	22	isometry	isometry	PROPN
ejpam-6292	196	23	inequality	inequality	NOUN
ejpam-6292	196	24	:	:	PUNCT
ejpam-6292	197	1	e	e	X
ejpam-6292	197	2	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6292	197	3	t	t	PROPN
ejpam-6292	197	4	t0	t0	PROPN
ejpam-6292	197	5	u(s	u(s	PROPN
ejpam-6292	197	6	,	,	PUNCT
ejpam-6292	197	7	ω	ω	NOUN
ejpam-6292	197	8	)	)	PUNCT
ejpam-6292	197	9	dw	dw	NOUN
ejpam-6292	197	10	(	(	PUNCT
ejpam-6292	197	11	s	s	NOUN
ejpam-6292	197	12	)	)	PUNCT
ejpam-6292	197	13	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6292	197	14	m	m	PROPN
ejpam-6292	197	15	≤	≤	NOUN
ejpam-6292	198	1	(	(	PUNCT
ejpam-6292	198	2	t−	t−	PROPN
ejpam-6292	198	3	t0	t0	PROPN
ejpam-6292	198	4	)	)	PUNCT
ejpam-6292	198	5	m−1[m(2m−	m−1[m(2m−	NOUN
ejpam-6292	198	6	1)]m	1)]m	NUM
ejpam-6292	198	7	∫	∫	PROPN
ejpam-6292	198	8	t	t	PROPN
ejpam-6292	198	9	t0	t0	PROPN
ejpam-6292	198	10	e	e	PROPN
ejpam-6292	198	11	|u(s	|u(s	PROPN
ejpam-6292	198	12	,	,	PUNCT
ejpam-6292	198	13	ω)|2	ω)|2	NOUN
ejpam-6292	198	14	m	m	VERB
ejpam-6292	198	15	ds	ds	ADJ
ejpam-6292	198	16	(	(	PUNCT
ejpam-6292	198	17	29	29	NUM
ejpam-6292	198	18	)	)	PUNCT
ejpam-6292	198	19	apply	apply	VERB
ejpam-6292	198	20	inequality	inequality	NOUN
ejpam-6292	198	21	(	(	PUNCT
ejpam-6292	198	22	29	29	NUM
ejpam-6292	198	23	)	)	PUNCT
ejpam-6292	198	24	to	to	ADP
ejpam-6292	198	25	(	(	PUNCT
ejpam-6292	198	26	28	28	NUM
ejpam-6292	198	27	)	)	PUNCT
ejpam-6292	198	28	to	to	PART
ejpam-6292	198	29	get	get	VERB
ejpam-6292	198	30	:	:	PUNCT
ejpam-6292	198	31	e	e	X
ejpam-6292	198	32	|l(g)ni	|l(g)ni	PROPN
ejpam-6292	199	1	−	−	PROPN
ejpam-6292	200	1	ln	ln	INTJ
ejpam-6292	201	1	i	i	PRON
ejpam-6292	201	2	g|2	g|2	PROPN
ejpam-6292	201	3	≤	≤	ADJ
ejpam-6292	201	4	2(0.3β1	2(0.3β1	NOUN
ejpam-6292	201	5	)	)	PUNCT
ejpam-6292	201	6	2e	2e	PROPN
ejpam-6292	201	7	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6292	201	8	∫	∫	PROPN
ejpam-6292	201	9	(	(	PUNCT
ejpam-6292	201	10	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	201	11	n∆t	n∆t	PROPN
ejpam-6292	201	12	gxx(s	gxx(s	PROPN
ejpam-6292	201	13	,	,	PUNCT
ejpam-6292	201	14	i∆x	i∆x	X
ejpam-6292	201	15	)	)	PUNCT
ejpam-6292	201	16	ds−	ds−	PROPN
ejpam-6292	201	17	b(e6∆t	b(e6∆t	VERB
ejpam-6292	201	18	+	+	CCONJ
ejpam-6292	201	19	e−5∆t	e−5∆t	NOUN
ejpam-6292	202	1	−	−	PROPN
ejpam-6292	202	2	2)a−1bg(n∆t	2)a−1bg(n∆t	NUM
ejpam-6292	202	3	,	,	PUNCT
ejpam-6292	202	4	i∆x	i∆x	X
ejpam-6292	202	5	)	)	PUNCT
ejpam-6292	203	1	+	+	PROPN
ejpam-6292	203	2	c(e∆t	c(e∆t	NOUN
ejpam-6292	203	3	−	−	PROPN
ejpam-6292	203	4	1)a−1bḡ((n+	1)a−1bḡ((n+	NUM
ejpam-6292	203	5	1)∆t	1)∆t	NUM
ejpam-6292	203	6	,	,	PUNCT
ejpam-6292	203	7	i∆x	i∆x	PROPN
ejpam-6292	203	8	)	)	PUNCT
ejpam-6292	203	9	∣∣2	∣∣2	PROPN
ejpam-6292	203	10	+	+	CCONJ
ejpam-6292	203	11	2σ2∆t	2σ2∆t	NUM
ejpam-6292	203	12	∫	∫	NOUN
ejpam-6292	203	13	(	(	PUNCT
ejpam-6292	203	14	n+1)∆t	n+1)∆t	PROPN
ejpam-6292	203	15	n∆t	n∆t	PROPN
ejpam-6292	203	16	e	e	PROPN
ejpam-6292	203	17	|g(s	|g(s	PROPN
ejpam-6292	203	18	,	,	PUNCT
ejpam-6292	203	19	i∆x)−g(n∆t	i∆x)−g(n∆t	PRON
ejpam-6292	203	20	,	,	PUNCT
ejpam-6292	203	21	i∆x)|2	i∆x)|2	PROPN
ejpam-6292	203	22	ds	ds	NOUN
ejpam-6292	203	23	(	(	PUNCT
ejpam-6292	203	24	30	30	NUM
ejpam-6292	203	25	)	)	PUNCT
ejpam-6292	203	26	taking	take	VERB
ejpam-6292	203	27	the	the	DET
ejpam-6292	203	28	limit	limit	NOUN
ejpam-6292	203	29	as	as	ADP
ejpam-6292	203	30	∆x	∆x	PROPN
ejpam-6292	203	31	→	→	SYM
ejpam-6292	203	32	0	0	NUM
ejpam-6292	203	33	,	,	PUNCT
ejpam-6292	203	34	∆t	∆t	PROPN
ejpam-6292	203	35	→	→	SYM
ejpam-6292	203	36	0	0	NUM
ejpam-6292	203	37	,	,	PUNCT
ejpam-6292	203	38	and	and	CCONJ
ejpam-6292	203	39	(	(	PUNCT
ejpam-6292	203	40	n∆t	n∆t	NOUN
ejpam-6292	203	41	,	,	PUNCT
ejpam-6292	203	42	i∆x	i∆x	PROPN
ejpam-6292	203	43	)	)	PUNCT
ejpam-6292	203	44	→	→	SYM
ejpam-6292	203	45	(	(	PUNCT
ejpam-6292	203	46	t	t	PROPN
ejpam-6292	203	47	,	,	PUNCT
ejpam-6292	203	48	x	x	NOUN
ejpam-6292	203	49	)	)	PUNCT
ejpam-6292	203	50	,	,	PUNCT
ejpam-6292	203	51	we	we	PRON
ejpam-6292	203	52	have	have	VERB
ejpam-6292	203	53	:	:	PUNCT
ejpam-6292	203	54	e	e	X
ejpam-6292	203	55	|l(g)ni	|l(g)ni	PROPN
ejpam-6292	204	1	−	−	PROPN
ejpam-6292	205	1	ln	ln	INTJ
ejpam-6292	206	1	i	i	PROPN
ejpam-6292	206	2	g|2	g|2	PROPN
ejpam-6292	206	3	→	→	SYM
ejpam-6292	206	4	0	0	NUM
ejpam-6292	206	5	(	(	PUNCT
ejpam-6292	206	6	31	31	NUM
ejpam-6292	206	7	)	)	PUNCT
ejpam-6292	206	8	thus	thus	ADV
ejpam-6292	206	9	,	,	PUNCT
ejpam-6292	206	10	the	the	DET
ejpam-6292	206	11	proposed	propose	VERB
ejpam-6292	206	12	scheme	scheme	NOUN
ejpam-6292	206	13	is	be	AUX
ejpam-6292	206	14	consistent	consistent	ADJ
ejpam-6292	206	15	in	in	ADP
ejpam-6292	206	16	the	the	DET
ejpam-6292	206	17	mean	mean	ADJ
ejpam-6292	206	18	square	square	ADJ
ejpam-6292	206	19	sense	sense	NOUN
ejpam-6292	206	20	.	.	PUNCT
ejpam-6292	207	1	4	4	X
ejpam-6292	207	2	.	.	X
ejpam-6292	207	3	mathematical	mathematical	ADJ
ejpam-6292	207	4	model	model	NOUN
ejpam-6292	207	5	a	a	DET
ejpam-6292	207	6	mathematical	mathematical	ADJ
ejpam-6292	207	7	model	model	NOUN
ejpam-6292	207	8	exists	exist	VERB
ejpam-6292	207	9	for	for	ADP
ejpam-6292	207	10	modelling	model	VERB
ejpam-6292	207	11	epidemic	epidemic	NOUN
ejpam-6292	207	12	diseases	disease	NOUN
ejpam-6292	207	13	.	.	PUNCT
ejpam-6292	208	1	among	among	ADP
ejpam-6292	208	2	existing	exist	VERB
ejpam-6292	208	3	models	model	NOUN
ejpam-6292	208	4	,	,	PUNCT
ejpam-6292	208	5	the	the	DET
ejpam-6292	208	6	susceptible	susceptible	ADJ
ejpam-6292	208	7	-	-	PUNCT
ejpam-6292	208	8	infective	infective	ADJ
ejpam-6292	208	9	-	-	PUNCT
ejpam-6292	208	10	recovered	recover	VERB
ejpam-6292	208	11	(	(	PUNCT
ejpam-6292	208	12	sir	sir	NOUN
ejpam-6292	208	13	)	)	PUNCT
ejpam-6292	208	14	model	model	NOUN
ejpam-6292	208	15	is	be	AUX
ejpam-6292	208	16	powerful	powerful	ADJ
ejpam-6292	208	17	,	,	PUNCT
ejpam-6292	208	18	consisting	consist	VERB
ejpam-6292	208	19	of	of	ADP
ejpam-6292	208	20	susceptible	susceptible	ADJ
ejpam-6292	208	21	,	,	PUNCT
ejpam-6292	208	22	infective	infective	ADJ
ejpam-6292	208	23	,	,	PUNCT
ejpam-6292	208	24	and	and	CCONJ
ejpam-6292	208	25	recovered	recover	VERB
ejpam-6292	208	26	categories	category	NOUN
ejpam-6292	208	27	.	.	PUNCT
ejpam-6292	209	1	this	this	DET
ejpam-6292	209	2	study	study	NOUN
ejpam-6292	209	3	focuses	focus	VERB
ejpam-6292	209	4	on	on	ADP
ejpam-6292	209	5	the	the	DET
ejpam-6292	209	6	sir	sir	PROPN
ejpam-6292	209	7	-	-	PUNCT
ejpam-6292	209	8	β	β	PROPN
ejpam-6292	209	9	model	model	NOUN
ejpam-6292	209	10	,	,	PUNCT
ejpam-6292	209	11	where	where	SCONJ
ejpam-6292	209	12	the	the	DET
ejpam-6292	209	13	interaction	interaction	NOUN
ejpam-6292	209	14	rate	rate	NOUN
ejpam-6292	209	15	β	β	PROPN
ejpam-6292	209	16	is	be	AUX
ejpam-6292	209	17	not	not	PART
ejpam-6292	209	18	constant	constant	ADJ
ejpam-6292	209	19	but	but	CCONJ
ejpam-6292	209	20	evolves	evolves	AUX
ejpam-6292	209	21	dynamically	dynamically	VERB
ejpam-6292	209	22	.	.	PUNCT
ejpam-6292	210	1	effects	effect	NOUN
ejpam-6292	210	2	of	of	ADP
ejpam-6292	210	3	diffusion	diffusion	NOUN
ejpam-6292	210	4	,	,	PUNCT
ejpam-6292	210	5	stochastic	stochastic	ADJ
ejpam-6292	210	6	perturbations	perturbation	NOUN
ejpam-6292	210	7	,	,	PUNCT
ejpam-6292	210	8	and	and	CCONJ
ejpam-6292	210	9	fuzzy	fuzzy	ADJ
ejpam-6292	210	10	parameters	parameter	NOUN
ejpam-6292	210	11	are	be	AUX
ejpam-6292	210	12	incorporated	incorporate	VERB
ejpam-6292	210	13	to	to	PART
ejpam-6292	210	14	represent	represent	VERB
ejpam-6292	210	15	real	real	ADJ
ejpam-6292	210	16	-	-	PUNCT
ejpam-6292	210	17	world	world	NOUN
ejpam-6292	210	18	uncertainty	uncertainty	NOUN
ejpam-6292	210	19	in	in	ADP
ejpam-6292	210	20	disease	disease	NOUN
ejpam-6292	210	21	transmission	transmission	NOUN
ejpam-6292	210	22	.	.	PUNCT
ejpam-6292	211	1	the	the	DET
ejpam-6292	211	2	governing	govern	VERB
ejpam-6292	211	3	equations	equation	NOUN
ejpam-6292	211	4	incorporating	incorporate	VERB
ejpam-6292	211	5	diffusion	diffusion	NOUN
ejpam-6292	211	6	and	and	CCONJ
ejpam-6292	211	7	incidence	incidence	NOUN
ejpam-6292	211	8	rate	rate	NOUN
ejpam-6292	211	9	effects	effect	NOUN
ejpam-6292	211	10	are	be	AUX
ejpam-6292	211	11	given	give	VERB
ejpam-6292	211	12	as	as	ADP
ejpam-6292	211	13	:	:	PUNCT
ejpam-6292	211	14	∂s	∂s	PROPN
ejpam-6292	211	15	∂t	∂t	PROPN
ejpam-6292	211	16	=	=	SYM
ejpam-6292	211	17	d1	d1	PROPN
ejpam-6292	211	18	∂2s	∂2s	PROPN
ejpam-6292	211	19	∂x2	∂x2	NOUN
ejpam-6292	211	20	+	+	CCONJ
ejpam-6292	211	21	λ−	λ−	PROPN
ejpam-6292	211	22	βsi	βsi	NOUN
ejpam-6292	211	23	1	1	NUM
ejpam-6292	211	24	+	+	NOUN
ejpam-6292	211	25	mi	mi	NOUN
ejpam-6292	211	26	−	−	PROPN
ejpam-6292	211	27	(	(	PUNCT
ejpam-6292	211	28	µ+	µ+	NOUN
ejpam-6292	211	29	δ)s	δ)s	NOUN
ejpam-6292	211	30	,	,	PUNCT
ejpam-6292	211	31	(	(	PUNCT
ejpam-6292	211	32	32	32	NUM
ejpam-6292	211	33	)	)	PUNCT
ejpam-6292	211	34	∂i	∂i	PROPN
ejpam-6292	211	35	∂t	∂t	PROPN
ejpam-6292	211	36	=	=	SYM
ejpam-6292	211	37	d2	d2	PROPN
ejpam-6292	211	38	∂2i	∂2i	NOUN
ejpam-6292	211	39	∂x2	∂x2	NOUN
ejpam-6292	211	40	+	+	NOUN
ejpam-6292	211	41	βsi	βsi	NOUN
ejpam-6292	211	42	1	1	NUM
ejpam-6292	211	43	+	+	NOUN
ejpam-6292	211	44	mi	mi	NOUN
ejpam-6292	211	45	−	−	PROPN
ejpam-6292	211	46	(	(	PUNCT
ejpam-6292	211	47	µ+	µ+	PROPN
ejpam-6292	211	48	θ	θ	PROPN
ejpam-6292	211	49	+	+	CCONJ
ejpam-6292	211	50	γ)i	γ)i	PROPN
ejpam-6292	211	51	,	,	PUNCT
ejpam-6292	211	52	(	(	PUNCT
ejpam-6292	211	53	33	33	NUM
ejpam-6292	211	54	)	)	PUNCT
ejpam-6292	211	55	∂r	∂r	PROPN
ejpam-6292	211	56	∂t	∂t	PROPN
ejpam-6292	211	57	=	=	SYM
ejpam-6292	211	58	d3	d3	PROPN
ejpam-6292	211	59	∂2r	∂2r	NOUN
ejpam-6292	211	60	∂x2	∂x2	NOUN
ejpam-6292	211	61	+	+	NOUN
ejpam-6292	211	62	γi	γi	X
ejpam-6292	211	63	+	+	CCONJ
ejpam-6292	211	64	δs	δs	NOUN
ejpam-6292	211	65	−	−	PROPN
ejpam-6292	211	66	µr	µr	ADP
ejpam-6292	211	67	,	,	PUNCT
ejpam-6292	211	68	(	(	PUNCT
ejpam-6292	211	69	34	34	NUM
ejpam-6292	211	70	)	)	PUNCT
ejpam-6292	211	71	∂β	∂β	PROPN
ejpam-6292	211	72	∂t	∂t	PROPN
ejpam-6292	211	73	=	=	PROPN
ejpam-6292	211	74	d4	d4	PROPN
ejpam-6292	211	75	∂2β	∂2β	ADJ
ejpam-6292	211	76	∂x2	∂x2	PROPN
ejpam-6292	211	77	+	+	CCONJ
ejpam-6292	211	78	β2	β2	NOUN
ejpam-6292	211	79	1	1	NUM
ejpam-6292	211	80	+	+	CCONJ
ejpam-6292	211	81	c1i	c1i	PROPN
ejpam-6292	211	82	−	−	PROPN
ejpam-6292	211	83	αβ	αβ	INTJ
ejpam-6292	211	84	,	,	PUNCT
ejpam-6292	211	85	(	(	PUNCT
ejpam-6292	211	86	35	35	NUM
ejpam-6292	211	87	)	)	PUNCT
ejpam-6292	211	88	subject	subject	NOUN
ejpam-6292	211	89	to	to	ADP
ejpam-6292	211	90	no	no	DET
ejpam-6292	211	91	-	-	PUNCT
ejpam-6292	211	92	flux	flux	NOUN
ejpam-6292	211	93	boundary	boundary	ADJ
ejpam-6292	211	94	conditions	condition	NOUN
ejpam-6292	211	95	:	:	PUNCT
ejpam-6292	212	1	∂s	∂s	PROPN
ejpam-6292	212	2	∂x	∂x	PROPN
ejpam-6292	212	3	=	=	PUNCT
ejpam-6292	212	4	∂i	∂i	PROPN
ejpam-6292	212	5	∂x	∂x	PROPN
ejpam-6292	212	6	=	=	PUNCT
ejpam-6292	213	1	∂r	∂r	PROPN
ejpam-6292	213	2	∂x	∂x	PROPN
ejpam-6292	213	3	=	=	SYM
ejpam-6292	213	4	∂β	∂β	PROPN
ejpam-6292	213	5	∂x	∂x	PROPN
ejpam-6292	213	6	=	=	NOUN
ejpam-6292	213	7	0	0	NUM
ejpam-6292	213	8	for	for	ADP
ejpam-6292	213	9	x	x	X
ejpam-6292	213	10	=	=	SYM
ejpam-6292	213	11	0	0	NUM
ejpam-6292	213	12	,	,	PUNCT
ejpam-6292	213	13	x	x	X
ejpam-6292	213	14	=	=	PUNCT
ejpam-6292	213	15	l.	l.	PROPN
ejpam-6292	213	16	(	(	PUNCT
ejpam-6292	213	17	36	36	NUM
ejpam-6292	213	18	)	)	PUNCT
ejpam-6292	213	19	m.	m.	NOUN
ejpam-6292	213	20	s.	s.	PROPN
ejpam-6292	213	21	arif	arif	PROPN
ejpam-6292	213	22	,	,	PUNCT
ejpam-6292	213	23	k.	k.	PROPN
ejpam-6292	213	24	abodayeh	abodayeh	PROPN
ejpam-6292	213	25	,	,	PUNCT
ejpam-6292	213	26	y.	y.	NOUN
ejpam-6292	213	27	nawaz	nawaz	PROPN
ejpam-6292	213	28	/	/	SYM
ejpam-6292	213	29	eur	eur	PROPN
ejpam-6292	213	30	.	.	PUNCT
ejpam-6292	214	1	j.	j.	PROPN
ejpam-6292	214	2	pure	pure	PROPN
ejpam-6292	214	3	appl	appl	PROPN
ejpam-6292	214	4	.	.	PROPN
ejpam-6292	214	5	math	math	PROPN
ejpam-6292	214	6	,	,	PUNCT
ejpam-6292	214	7	18	18	NUM
ejpam-6292	214	8	(	(	PUNCT
ejpam-6292	214	9	3	3	NUM
ejpam-6292	214	10	)	)	PUNCT
ejpam-6292	214	11	(	(	PUNCT
ejpam-6292	214	12	2025	2025	NUM
ejpam-6292	214	13	)	)	PUNCT
ejpam-6292	214	14	,	,	PUNCT
ejpam-6292	214	15	6292	6292	NUM
ejpam-6292	214	16	10	10	NUM
ejpam-6292	214	17	of	of	ADP
ejpam-6292	214	18	24	24	NUM
ejpam-6292	214	19	here	here	ADV
ejpam-6292	215	1	,	,	PUNCT
ejpam-6292	215	2	l	l	NOUN
ejpam-6292	215	3	is	be	AUX
ejpam-6292	215	4	a	a	DET
ejpam-6292	215	5	constant	constant	ADJ
ejpam-6292	215	6	spatial	spatial	ADJ
ejpam-6292	215	7	domain	domain	NOUN
ejpam-6292	215	8	length	length	NOUN
ejpam-6292	215	9	,	,	PUNCT
ejpam-6292	215	10	λ	λ	PROPN
ejpam-6292	215	11	is	be	AUX
ejpam-6292	215	12	the	the	DET
ejpam-6292	215	13	birth	birth	NOUN
ejpam-6292	215	14	rate	rate	NOUN
ejpam-6292	215	15	of	of	ADP
ejpam-6292	215	16	new	new	ADJ
ejpam-6292	215	17	susceptible	susceptible	ADJ
ejpam-6292	215	18	individuals	individual	NOUN
ejpam-6292	215	19	,	,	PUNCT
ejpam-6292	215	20	µ	µ	X
ejpam-6292	215	21	is	be	AUX
ejpam-6292	215	22	the	the	DET
ejpam-6292	215	23	natural	natural	ADJ
ejpam-6292	215	24	death	death	NOUN
ejpam-6292	215	25	rate	rate	NOUN
ejpam-6292	215	26	,	,	PUNCT
ejpam-6292	215	27	θ	θ	PROPN
ejpam-6292	215	28	is	be	AUX
ejpam-6292	215	29	the	the	DET
ejpam-6292	215	30	disease	disease	NOUN
ejpam-6292	215	31	mortality	mortality	NOUN
ejpam-6292	215	32	rate	rate	NOUN
ejpam-6292	215	33	,	,	PUNCT
ejpam-6292	215	34	δ	δ	PROPN
ejpam-6292	215	35	represents	represent	VERB
ejpam-6292	215	36	the	the	DET
ejpam-6292	215	37	immunization	immunization	NOUN
ejpam-6292	215	38	effect	effect	NOUN
ejpam-6292	215	39	due	due	ADP
ejpam-6292	215	40	to	to	ADP
ejpam-6292	215	41	vaccination	vaccination	NOUN
ejpam-6292	215	42	,	,	PUNCT
ejpam-6292	215	43	and	and	CCONJ
ejpam-6292	215	44	γ	γ	X
ejpam-6292	215	45	is	be	AUX
ejpam-6292	215	46	the	the	DET
ejpam-6292	215	47	recovery	recovery	NOUN
ejpam-6292	215	48	rate	rate	NOUN
ejpam-6292	215	49	.	.	PUNCT
ejpam-6292	216	1	the	the	DET
ejpam-6292	216	2	incidence	incidence	NOUN
ejpam-6292	216	3	rate	rate	NOUN
ejpam-6292	216	4	is	be	AUX
ejpam-6292	216	5	given	give	VERB
ejpam-6292	216	6	by	by	ADP
ejpam-6292	216	7	βsi	βsi	NOUN
ejpam-6292	216	8	1+mi	1+mi	NUM
ejpam-6292	216	9	,	,	PUNCT
ejpam-6292	216	10	which	which	PRON
ejpam-6292	216	11	includes	include	VERB
ejpam-6292	216	12	saturation	saturation	NOUN
ejpam-6292	216	13	effects	effect	NOUN
ejpam-6292	216	14	,	,	PUNCT
ejpam-6292	216	15	and	and	CCONJ
ejpam-6292	216	16	the	the	DET
ejpam-6292	216	17	adaptive	adaptive	ADJ
ejpam-6292	216	18	evolution	evolution	NOUN
ejpam-6292	216	19	of	of	ADP
ejpam-6292	216	20	the	the	DET
ejpam-6292	216	21	transmission	transmission	NOUN
ejpam-6292	216	22	rate	rate	NOUN
ejpam-6292	216	23	β	β	PROPN
ejpam-6292	216	24	follows	follow	VERB
ejpam-6292	216	25	the	the	DET
ejpam-6292	216	26	equation	equation	NOUN
ejpam-6292	216	27	β2	β2	VERB
ejpam-6292	216	28	1+c1i	1+c1i	NUM
ejpam-6292	216	29	−	−	PROPN
ejpam-6292	217	1	αβ	αβ	INTJ
ejpam-6292	217	2	.	.	PUNCT
ejpam-6292	218	1	the	the	DET
ejpam-6292	218	2	equilibrium	equilibrium	NOUN
ejpam-6292	218	3	point	point	NOUN
ejpam-6292	218	4	under	under	ADP
ejpam-6292	218	5	the	the	DET
ejpam-6292	218	6	steady	steady	ADJ
ejpam-6292	218	7	-	-	PUNCT
ejpam-6292	218	8	state	state	NOUN
ejpam-6292	218	9	condition	condition	NOUN
ejpam-6292	218	10	and	and	CCONJ
ejpam-6292	218	11	zero	zero	NUM
ejpam-6292	218	12	diffusion	diffusion	NOUN
ejpam-6292	218	13	(	(	PUNCT
ejpam-6292	218	14	d1	d1	NOUN
ejpam-6292	218	15	=	=	SYM
ejpam-6292	218	16	d2	d2	PROPN
ejpam-6292	218	17	=	=	PUNCT
ejpam-6292	218	18	d3	d3	PROPN
ejpam-6292	218	19	=	=	SYM
ejpam-6292	218	20	d4	d4	PROPN
ejpam-6292	218	21	=	=	SYM
ejpam-6292	218	22	0	0	NUM
ejpam-6292	218	23	)	)	PUNCT
ejpam-6292	218	24	satisfies	satisfie	NOUN
ejpam-6292	218	25	:	:	PUNCT
ejpam-6292	218	26	λ−	λ−	PROPN
ejpam-6292	218	27	βsi	βsi	NOUN
ejpam-6292	218	28	1	1	NUM
ejpam-6292	218	29	+	+	NOUN
ejpam-6292	218	30	mi	mi	NOUN
ejpam-6292	218	31	−	−	PROPN
ejpam-6292	218	32	(	(	PUNCT
ejpam-6292	218	33	µ+	µ+	X
ejpam-6292	218	34	δ)s	δ)s	NOUN
ejpam-6292	218	35	=	=	SYM
ejpam-6292	218	36	0	0	NUM
ejpam-6292	218	37	,	,	PUNCT
ejpam-6292	218	38	(	(	PUNCT
ejpam-6292	218	39	37	37	NUM
ejpam-6292	218	40	)	)	PUNCT
ejpam-6292	218	41	βsi	βsi	NOUN
ejpam-6292	218	42	1	1	NUM
ejpam-6292	218	43	+	+	NOUN
ejpam-6292	218	44	mi	mi	NOUN
ejpam-6292	218	45	−	−	PROPN
ejpam-6292	218	46	(	(	PUNCT
ejpam-6292	218	47	µ+	µ+	PROPN
ejpam-6292	218	48	θ	θ	PROPN
ejpam-6292	218	49	+	+	CCONJ
ejpam-6292	218	50	γ)i	γ)i	X
ejpam-6292	218	51	=	=	NOUN
ejpam-6292	218	52	0	0	NUM
ejpam-6292	218	53	,	,	PUNCT
ejpam-6292	218	54	(	(	PUNCT
ejpam-6292	218	55	38	38	NUM
ejpam-6292	218	56	)	)	PUNCT
ejpam-6292	218	57	γi	γi	NOUN
ejpam-6292	219	1	+	+	CCONJ
ejpam-6292	219	2	δs	δs	ADP
ejpam-6292	219	3	−	−	NOUN
ejpam-6292	219	4	µr	µr	ADP
ejpam-6292	219	5	=	=	NOUN
ejpam-6292	219	6	0	0	NUM
ejpam-6292	219	7	,	,	PUNCT
ejpam-6292	219	8	(	(	PUNCT
ejpam-6292	219	9	39	39	NUM
ejpam-6292	219	10	)	)	PUNCT
ejpam-6292	219	11	β2	β2	NOUN
ejpam-6292	219	12	1	1	NUM
ejpam-6292	219	13	+	+	CCONJ
ejpam-6292	219	14	c1i	c1i	ADV
ejpam-6292	219	15	−	−	NOUN
ejpam-6292	220	1	αβ	αβ	NOUN
ejpam-6292	220	2	=	=	NOUN
ejpam-6292	221	1	0	0	PROPN
ejpam-6292	221	2	.	.	PUNCT
ejpam-6292	222	1	(	(	PUNCT
ejpam-6292	222	2	40	40	NUM
ejpam-6292	222	3	)	)	PUNCT
ejpam-6292	222	4	the	the	DET
ejpam-6292	222	5	disease	disease	NOUN
ejpam-6292	222	6	-	-	PUNCT
ejpam-6292	222	7	free	free	ADJ
ejpam-6292	222	8	equilibrium	equilibrium	NOUN
ejpam-6292	222	9	is	be	AUX
ejpam-6292	222	10	:	:	PUNCT
ejpam-6292	222	11	b∗	b∗	ADJ
ejpam-6292	222	12	=	=	SYM
ejpam-6292	222	13	(	(	PUNCT
ejpam-6292	222	14	λ	λ	X
ejpam-6292	222	15	δ	δ	X
ejpam-6292	222	16	+	+	X
ejpam-6292	222	17	µ	µ	X
ejpam-6292	222	18	,	,	PUNCT
ejpam-6292	222	19	0	0	NUM
ejpam-6292	222	20	,	,	PUNCT
ejpam-6292	222	21	δλ	δλ	ADP
ejpam-6292	222	22	µ(δ	µ(δ	X
ejpam-6292	222	23	+	+	CCONJ
ejpam-6292	222	24	µ	µ	X
ejpam-6292	222	25	)	)	PUNCT
ejpam-6292	222	26	,	,	PUNCT
ejpam-6292	222	27	β2	β2	NOUN
ejpam-6292	222	28	α	α	PROPN
ejpam-6292	222	29	)	)	PUNCT
ejpam-6292	222	30	.	.	PUNCT
ejpam-6292	223	1	(	(	PUNCT
ejpam-6292	223	2	41	41	NUM
ejpam-6292	223	3	)	)	PUNCT
ejpam-6292	223	4	theorem	theorem	NOUN
ejpam-6292	223	5	2	2	NUM
ejpam-6292	223	6	.	.	PUNCT
ejpam-6292	224	1	the	the	DET
ejpam-6292	224	2	model	model	NOUN
ejpam-6292	224	3	(	(	PUNCT
ejpam-6292	224	4	32)–(35	32)–(35	NUM
ejpam-6292	224	5	)	)	PUNCT
ejpam-6292	224	6	with	with	ADP
ejpam-6292	224	7	d1	d1	PROPN
ejpam-6292	224	8	=	=	SYM
ejpam-6292	224	9	d2	d2	PROPN
ejpam-6292	224	10	=	=	PUNCT
ejpam-6292	224	11	d3	d3	PROPN
ejpam-6292	224	12	=	=	SYM
ejpam-6292	224	13	d4	d4	PROPN
ejpam-6292	224	14	=	=	SYM
ejpam-6292	224	15	0	0	NUM
ejpam-6292	224	16	is	be	AUX
ejpam-6292	224	17	locally	locally	ADV
ejpam-6292	224	18	stable	stable	ADJ
ejpam-6292	224	19	at	at	ADP
ejpam-6292	224	20	b∗	b∗	ADJ
ejpam-6292	224	21	if	if	SCONJ
ejpam-6292	224	22	:	:	PUNCT
ejpam-6292	224	23	β2λ	β2λ	VERB
ejpam-6292	224	24	<	<	X
ejpam-6292	224	25	αδγ	αδγ	NOUN
ejpam-6292	224	26	+	+	CCONJ
ejpam-6292	224	27	αδµ+	αδµ+	NOUN
ejpam-6292	224	28	αγµ+	αγµ+	ADJ
ejpam-6292	224	29	αµ2	αµ2	NOUN
ejpam-6292	224	30	+	+	CCONJ
ejpam-6292	224	31	αδθ	αδθ	NOUN
ejpam-6292	224	32	+	+	X
ejpam-6292	224	33	αµθ	αµθ	NOUN
ejpam-6292	224	34	.	.	PUNCT
ejpam-6292	225	1	proof	proof	NOUN
ejpam-6292	225	2	.	.	PUNCT
ejpam-6292	226	1	the	the	DET
ejpam-6292	226	2	jacobian	jacobian	ADJ
ejpam-6292	226	3	matrix	matrix	NOUN
ejpam-6292	226	4	of	of	ADP
ejpam-6292	226	5	the	the	DET
ejpam-6292	226	6	system	system	NOUN
ejpam-6292	226	7	(	(	PUNCT
ejpam-6292	226	8	32)–(35	32)–(35	NUM
ejpam-6292	226	9	)	)	PUNCT
ejpam-6292	226	10	at	at	ADP
ejpam-6292	226	11	d1	d1	PROPN
ejpam-6292	226	12	=	=	SYM
ejpam-6292	226	13	d2	d2	PROPN
ejpam-6292	226	14	=	=	PUNCT
ejpam-6292	226	15	d3	d3	PROPN
ejpam-6292	226	16	=	=	SYM
ejpam-6292	226	17	d4	d4	PROPN
ejpam-6292	226	18	=	=	SYM
ejpam-6292	226	19	0	0	NUM
ejpam-6292	226	20	is	be	AUX
ejpam-6292	226	21	:	:	PUNCT
ejpam-6292	226	22	j	j	X
ejpam-6292	226	23	=	=	PUNCT
ejpam-6292	226	24			VERB
ejpam-6292	226	25	−δ	−δ	ADJ
ejpam-6292	226	26	−	−	PROPN
ejpam-6292	226	27	βsi	βsi	NOUN
ejpam-6292	226	28	1+mi	1+mi	NUM
ejpam-6292	226	29	−	−	PROPN
ejpam-6292	226	30	µ	µ	PRON
ejpam-6292	226	31	βmsi	βmsi	NOUN
ejpam-6292	226	32	(	(	PUNCT
ejpam-6292	226	33	1+mi)2	1+mi)2	NUM
ejpam-6292	226	34	−	−	NOUN
ejpam-6292	226	35	βs	βs	NOUN
ejpam-6292	226	36	1+mi	1+mi	NUM
ejpam-6292	226	37	0	0	NUM
ejpam-6292	226	38	−	−	NOUN
ejpam-6292	226	39	is	be	AUX
ejpam-6292	226	40	1+mi	1+mi	NUM
ejpam-6292	226	41	βi	βi	NUM
ejpam-6292	226	42	1+mi	1+mi	NUM
ejpam-6292	226	43	−γ	−γ	ADJ
ejpam-6292	226	44	−	−	NOUN
ejpam-6292	226	45	µ−	µ−	NOUN
ejpam-6292	226	46	mβsi	mβsi	NOUN
ejpam-6292	226	47	(	(	PUNCT
ejpam-6292	226	48	1+mi)2	1+mi)2	NUM
ejpam-6292	226	49	+	+	CCONJ
ejpam-6292	226	50	βs	βs	NOUN
ejpam-6292	227	1	1+mi	1+mi	NUM
ejpam-6292	227	2	−	−	PROPN
ejpam-6292	227	3	θ	θ	NOUN
ejpam-6292	227	4	0	0	PUNCT
ejpam-6292	227	5	is	be	AUX
ejpam-6292	227	6	1+mi	1+mi	NUM
ejpam-6292	227	7	δ	δ	PROPN
ejpam-6292	227	8	γ	γ	X
ejpam-6292	227	9	−µ	−µ	NOUN
ejpam-6292	227	10	0	0	NUM
ejpam-6292	227	11	0	0	NUM
ejpam-6292	228	1	−	−	NOUN
ejpam-6292	229	1	β2c1	β2c1	INTJ
ejpam-6292	230	1	(	(	PUNCT
ejpam-6292	230	2	1+c1i)2	1+c1i)2	NOUN
ejpam-6292	230	3	0	0	NUM
ejpam-6292	230	4	−α	−α	PROPN
ejpam-6292	230	5			PROPN
ejpam-6292	230	6	.	.	PUNCT
ejpam-6292	231	1	(	(	PUNCT
ejpam-6292	231	2	42	42	NUM
ejpam-6292	231	3	)	)	PUNCT
ejpam-6292	231	4	at	at	ADP
ejpam-6292	231	5	equilibrium	equilibrium	NOUN
ejpam-6292	231	6	b∗	b∗	ADV
ejpam-6292	231	7	,	,	PUNCT
ejpam-6292	231	8	the	the	DET
ejpam-6292	231	9	jacobian	jacobian	ADJ
ejpam-6292	231	10	reduces	reduce	VERB
ejpam-6292	231	11	to	to	ADP
ejpam-6292	231	12	:	:	PUNCT
ejpam-6292	232	1	j	j	PROPN
ejpam-6292	232	2	|b∗	|b∗	PROPN
ejpam-6292	232	3	=	=	PROPN
ejpam-6292	232	4			ADJ
ejpam-6292	232	5	−δ	−δ	ADJ
ejpam-6292	232	6	−	−	PROPN
ejpam-6292	232	7	µ	µ	X
ejpam-6292	232	8	β2λ	β2λ	X
ejpam-6292	232	9	α(δ+µ	α(δ+µ	NUM
ejpam-6292	232	10	)	)	PUNCT
ejpam-6292	232	11	0	0	NUM
ejpam-6292	232	12	0	0	NUM
ejpam-6292	232	13	0	0	NUM
ejpam-6292	232	14	−γ	−γ	NOUN
ejpam-6292	232	15	−	−	PROPN
ejpam-6292	232	16	µ+	µ+	ADP
ejpam-6292	232	17	β2λ	β2λ	NOUN
ejpam-6292	232	18	α(δ+µ	α(δ+µ	NUM
ejpam-6292	232	19	)	)	PUNCT
ejpam-6292	232	20	−	−	PROPN
ejpam-6292	232	21	θ	θ	NOUN
ejpam-6292	232	22	0	0	NUM
ejpam-6292	232	23	0	0	NUM
ejpam-6292	232	24	δ	δ	PROPN
ejpam-6292	232	25	γ	γ	X
ejpam-6292	232	26	−µ	−µ	NOUN
ejpam-6292	232	27	0	0	NUM
ejpam-6292	232	28	0	0	PUNCT
ejpam-6292	233	1	−β2c1	−β2c1	NOUN
ejpam-6292	233	2	0	0	NUM
ejpam-6292	233	3	−α	−α	NOUN
ejpam-6292	233	4			PROPN
ejpam-6292	233	5	.	.	PUNCT
ejpam-6292	234	1	(	(	PUNCT
ejpam-6292	234	2	43	43	NUM
ejpam-6292	234	3	)	)	PUNCT
ejpam-6292	234	4	the	the	DET
ejpam-6292	234	5	eigenvalues	eigenvalue	NOUN
ejpam-6292	234	6	are	be	AUX
ejpam-6292	234	7	:	:	PUNCT
ejpam-6292	234	8	λ1	λ1	ADJ
ejpam-6292	234	9	=	=	SYM
ejpam-6292	234	10	−α	−α	NOUN
ejpam-6292	234	11	,	,	PUNCT
ejpam-6292	234	12	λ2	λ2	PROPN
ejpam-6292	234	13	=	=	SYM
ejpam-6292	234	14	−µ	−µ	NOUN
ejpam-6292	234	15	,	,	PUNCT
ejpam-6292	234	16	λ3	λ3	PROPN
ejpam-6292	234	17	=	=	SYM
ejpam-6292	234	18	−δ−µ	−δ−µ	PROPN
ejpam-6292	234	19	,	,	PUNCT
ejpam-6292	234	20	λ4	λ4	PROPN
ejpam-6292	234	21	=	=	PUNCT
ejpam-6292	234	22	−αδγ	−αδγ	CCONJ
ejpam-6292	234	23	−	−	PROPN
ejpam-6292	235	1	αδµ−	αδµ−	VERB
ejpam-6292	235	2	αγµ−	αγµ−	NUM
ejpam-6292	235	3	αµ2	αµ2	PROPN
ejpam-6292	235	4	+	+	CCONJ
ejpam-6292	235	5	β2λ−	β2λ−	PUNCT
ejpam-6292	235	6	αδθ	αδθ	NOUN
ejpam-6292	235	7	−	−	PROPN
ejpam-6292	235	8	αµθ	αµθ	NOUN
ejpam-6292	235	9	α(δ	α(δ	PROPN
ejpam-6292	235	10	+	+	NOUN
ejpam-6292	235	11	µ	µ	X
ejpam-6292	235	12	)	)	PUNCT
ejpam-6292	235	13	.	.	PUNCT
ejpam-6292	236	1	m.	m.	PROPN
ejpam-6292	236	2	s.	s.	PROPN
ejpam-6292	236	3	arif	arif	PROPN
ejpam-6292	236	4	,	,	PUNCT
ejpam-6292	236	5	k.	k.	PROPN
ejpam-6292	236	6	abodayeh	abodayeh	PROPN
ejpam-6292	236	7	,	,	PUNCT
ejpam-6292	236	8	y.	y.	NOUN
ejpam-6292	236	9	nawaz	nawaz	PROPN
ejpam-6292	236	10	/	/	SYM
ejpam-6292	236	11	eur	eur	PROPN
ejpam-6292	236	12	.	.	PUNCT
ejpam-6292	237	1	j.	j.	PROPN
ejpam-6292	237	2	pure	pure	PROPN
ejpam-6292	237	3	appl	appl	PROPN
ejpam-6292	237	4	.	.	PROPN
ejpam-6292	237	5	math	math	PROPN
ejpam-6292	237	6	,	,	PUNCT
ejpam-6292	237	7	18	18	NUM
ejpam-6292	237	8	(	(	PUNCT
ejpam-6292	237	9	3	3	NUM
ejpam-6292	237	10	)	)	PUNCT
ejpam-6292	237	11	(	(	PUNCT
ejpam-6292	237	12	2025	2025	NUM
ejpam-6292	237	13	)	)	PUNCT
ejpam-6292	237	14	,	,	PUNCT
ejpam-6292	237	15	6292	6292	NUM
ejpam-6292	237	16	11	11	NUM
ejpam-6292	237	17	of	of	ADP
ejpam-6292	237	18	24	24	NUM
ejpam-6292	237	19	stability	stability	NOUN
ejpam-6292	237	20	requires	require	VERB
ejpam-6292	237	21	λ4	λ4	PROPN
ejpam-6292	237	22	<	<	X
ejpam-6292	237	23	0	0	PROPN
ejpam-6292	237	24	,	,	PUNCT
ejpam-6292	237	25	which	which	PRON
ejpam-6292	237	26	gives	give	VERB
ejpam-6292	237	27	the	the	DET
ejpam-6292	237	28	condition	condition	NOUN
ejpam-6292	237	29	:	:	PUNCT
ejpam-6292	237	30	β2λ	β2λ	X
ejpam-6292	237	31	<	<	X
ejpam-6292	237	32	αδγ	αδγ	NOUN
ejpam-6292	237	33	+	+	CCONJ
ejpam-6292	237	34	αδµ+	αδµ+	NOUN
ejpam-6292	237	35	αγµ+	αγµ+	ADJ
ejpam-6292	237	36	αµ2	αµ2	NOUN
ejpam-6292	237	37	+	+	CCONJ
ejpam-6292	237	38	αδθ	αδθ	NOUN
ejpam-6292	237	39	+	+	CCONJ
ejpam-6292	237	40	αµθ	αµθ	NOUN
ejpam-6292	237	41	.	.	PUNCT
ejpam-6292	238	1	this	this	PRON
ejpam-6292	238	2	ensures	ensure	VERB
ejpam-6292	238	3	the	the	DET
ejpam-6292	238	4	local	local	ADJ
ejpam-6292	238	5	asymptotic	asymptotic	ADJ
ejpam-6292	238	6	stability	stability	NOUN
ejpam-6292	238	7	of	of	ADP
ejpam-6292	238	8	the	the	DET
ejpam-6292	238	9	disease	disease	NOUN
ejpam-6292	238	10	-	-	PUNCT
ejpam-6292	238	11	free	free	ADJ
ejpam-6292	238	12	equilibrium	equilibrium	NOUN
ejpam-6292	238	13	.	.	PUNCT
ejpam-6292	239	1	4.1	4.1	NUM
ejpam-6292	239	2	.	.	PUNCT
ejpam-6292	239	3	extension	extension	NOUN
ejpam-6292	239	4	to	to	ADP
ejpam-6292	239	5	fuzzy	fuzzy	ADJ
ejpam-6292	239	6	stochastic	stochastic	ADJ
ejpam-6292	239	7	diffusive	diffusive	ADJ
ejpam-6292	239	8	model	model	NOUN
ejpam-6292	239	9	the	the	DET
ejpam-6292	239	10	fuzzy	fuzzy	ADJ
ejpam-6292	239	11	stochastic	stochastic	ADJ
ejpam-6292	239	12	diffusive	diffusive	ADJ
ejpam-6292	239	13	model	model	NOUN
ejpam-6292	239	14	incorporating	incorporate	VERB
ejpam-6292	239	15	stochastic	stochastic	ADJ
ejpam-6292	239	16	effects	effect	NOUN
ejpam-6292	239	17	and	and	CCONJ
ejpam-6292	239	18	fuzzy	fuzzy	ADJ
ejpam-6292	239	19	parameters	parameter	NOUN
ejpam-6292	239	20	is	be	AUX
ejpam-6292	239	21	given	give	VERB
ejpam-6292	239	22	as	as	SCONJ
ejpam-6292	239	23	follows	follow	VERB
ejpam-6292	239	24	:	:	PUNCT
ejpam-6292	239	25	ds	ds	ADJ
ejpam-6292	239	26	=	=	SYM
ejpam-6292	239	27	(	(	PUNCT
ejpam-6292	239	28	d1	d1	PROPN
ejpam-6292	239	29	∂2s	∂2s	PROPN
ejpam-6292	239	30	∂x2	∂x2	NOUN
ejpam-6292	239	31	+	+	CCONJ
ejpam-6292	239	32	λ−	λ−	PROPN
ejpam-6292	239	33	βsi	βsi	NOUN
ejpam-6292	239	34	1	1	NUM
ejpam-6292	239	35	+	+	NOUN
ejpam-6292	239	36	mi	mi	NOUN
ejpam-6292	239	37	−	−	PROPN
ejpam-6292	239	38	(	(	PUNCT
ejpam-6292	239	39	µ+	µ+	NOUN
ejpam-6292	239	40	δ)s	δ)s	NOUN
ejpam-6292	239	41	)	)	PUNCT
ejpam-6292	239	42	dt+	dt+	NOUN
ejpam-6292	239	43	σ1s	σ1s	PUNCT
ejpam-6292	239	44	dw	dw	PROPN
ejpam-6292	239	45	,	,	PUNCT
ejpam-6292	239	46	(	(	PUNCT
ejpam-6292	239	47	44	44	NUM
ejpam-6292	239	48	)	)	PUNCT
ejpam-6292	239	49	di	di	NOUN
ejpam-6292	239	50	=	=	PUNCT
ejpam-6292	239	51	(	(	PUNCT
ejpam-6292	239	52	d2	d2	PROPN
ejpam-6292	239	53	∂2i	∂2i	NOUN
ejpam-6292	239	54	∂x2	∂x2	NOUN
ejpam-6292	239	55	+	+	NOUN
ejpam-6292	239	56	βsi	βsi	NOUN
ejpam-6292	239	57	1	1	NUM
ejpam-6292	239	58	+	+	NOUN
ejpam-6292	239	59	mi	mi	NOUN
ejpam-6292	239	60	−	−	PROPN
ejpam-6292	239	61	(	(	PUNCT
ejpam-6292	239	62	µ+	µ+	PROPN
ejpam-6292	239	63	θ	θ	PROPN
ejpam-6292	239	64	+	+	CCONJ
ejpam-6292	239	65	γ)i	γ)i	ADJ
ejpam-6292	239	66	)	)	PUNCT
ejpam-6292	239	67	dt+	dt+	NOUN
ejpam-6292	239	68	σ2i	σ2i	PROPN
ejpam-6292	239	69	dw	dw	NOUN
ejpam-6292	239	70	,	,	PUNCT
ejpam-6292	239	71	(	(	PUNCT
ejpam-6292	239	72	45	45	NUM
ejpam-6292	239	73	)	)	PUNCT
ejpam-6292	239	74	dr	dr	NOUN
ejpam-6292	239	75	=	=	PRON
ejpam-6292	239	76	(	(	PUNCT
ejpam-6292	239	77	d3	d3	PROPN
ejpam-6292	239	78	∂2r	∂2r	VERB
ejpam-6292	239	79	∂x2	∂x2	NOUN
ejpam-6292	239	80	+	+	NOUN
ejpam-6292	239	81	γi	γi	X
ejpam-6292	239	82	+	+	NUM
ejpam-6292	239	83	δs	δs	NOUN
ejpam-6292	239	84	−	−	PROPN
ejpam-6292	239	85	µr	µr	ADP
ejpam-6292	239	86	)	)	PUNCT
ejpam-6292	239	87	dt+	dt+	NOUN
ejpam-6292	239	88	σ3rdw	σ3rdw	PROPN
ejpam-6292	239	89	,	,	PUNCT
ejpam-6292	239	90	(	(	PUNCT
ejpam-6292	239	91	46	46	NUM
ejpam-6292	239	92	)	)	PUNCT
ejpam-6292	240	1	dβ	dβ	NOUN
ejpam-6292	240	2	=	=	SYM
ejpam-6292	240	3	(	(	PUNCT
ejpam-6292	240	4	d4	d4	PROPN
ejpam-6292	240	5	∂2β	∂2β	ADJ
ejpam-6292	240	6	∂x2	∂x2	PROPN
ejpam-6292	241	1	+	+	CCONJ
ejpam-6292	241	2	β2	β2	NOUN
ejpam-6292	241	3	1	1	NUM
ejpam-6292	241	4	+	+	CCONJ
ejpam-6292	241	5	c1i	c1i	ADV
ejpam-6292	241	6	−	−	PROPN
ejpam-6292	241	7	αβ	αβ	NOUN
ejpam-6292	241	8	)	)	PUNCT
ejpam-6292	241	9	dt+	dt+	NOUN
ejpam-6292	241	10	σ4β	σ4β	NOUN
ejpam-6292	241	11	dw	dw	PROPN
ejpam-6292	241	12	,	,	PUNCT
ejpam-6292	241	13	(	(	PUNCT
ejpam-6292	241	14	47	47	NUM
ejpam-6292	241	15	)	)	PUNCT
ejpam-6292	241	16	where	where	SCONJ
ejpam-6292	241	17	σ1	σ1	PROPN
ejpam-6292	241	18	,	,	PUNCT
ejpam-6292	241	19	σ2	σ2	PROPN
ejpam-6292	241	20	,	,	PUNCT
ejpam-6292	241	21	σ3	σ3	PROPN
ejpam-6292	241	22	,	,	PUNCT
ejpam-6292	241	23	and	and	CCONJ
ejpam-6292	241	24	σ4	σ4	NOUN
ejpam-6292	241	25	denote	denote	NOUN
ejpam-6292	241	26	intensities	intensity	NOUN
ejpam-6292	241	27	of	of	ADP
ejpam-6292	241	28	stochastic	stochastic	ADJ
ejpam-6292	241	29	noise	noise	NOUN
ejpam-6292	241	30	,	,	PUNCT
ejpam-6292	241	31	dw	dw	PROPN
ejpam-6292	241	32	is	be	AUX
ejpam-6292	241	33	a	a	DET
ejpam-6292	241	34	wiener	wiener	NOUN
ejpam-6292	241	35	increment	increment	NOUN
ejpam-6292	241	36	,	,	PUNCT
ejpam-6292	241	37	and	and	CCONJ
ejpam-6292	241	38	parameters	parameter	NOUN
ejpam-6292	241	39	µ	µ	VERB
ejpam-6292	241	40	and	and	CCONJ
ejpam-6292	241	41	δ	δ	PROPN
ejpam-6292	241	42	are	be	AUX
ejpam-6292	241	43	triangular	triangular	VERB
ejpam-6292	241	44	fuzzy	fuzzy	ADJ
ejpam-6292	241	45	numbers	number	NOUN
ejpam-6292	241	46	.	.	PUNCT
ejpam-6292	242	1	5	5	X
ejpam-6292	242	2	.	.	NOUN
ejpam-6292	242	3	results	result	NOUN
ejpam-6292	242	4	and	and	CCONJ
ejpam-6292	242	5	discussions	discussion	NOUN
ejpam-6292	242	6	we	we	PRON
ejpam-6292	242	7	present	present	VERB
ejpam-6292	242	8	a	a	DET
ejpam-6292	242	9	detailed	detailed	ADJ
ejpam-6292	242	10	simulation	simulation	NOUN
ejpam-6292	242	11	study	study	NOUN
ejpam-6292	242	12	with	with	ADP
ejpam-6292	242	13	the	the	DET
ejpam-6292	242	14	following	follow	VERB
ejpam-6292	242	15	objectives	objective	NOUN
ejpam-6292	242	16	:	:	PUNCT
ejpam-6292	242	17	•	•	ADP
ejpam-6292	242	18	the	the	DET
ejpam-6292	242	19	proposed	propose	VERB
ejpam-6292	242	20	scheme	scheme	NOUN
ejpam-6292	242	21	applies	apply	VERB
ejpam-6292	242	22	to	to	ADP
ejpam-6292	242	23	deterministic	deterministic	ADJ
ejpam-6292	242	24	and	and	CCONJ
ejpam-6292	242	25	stochastic	stochastic	ADJ
ejpam-6292	242	26	models	model	NOUN
ejpam-6292	242	27	and	and	CCONJ
ejpam-6292	242	28	is	be	AUX
ejpam-6292	242	29	constructed	construct	VERB
ejpam-6292	242	30	on	on	ADP
ejpam-6292	242	31	two	two	NUM
ejpam-6292	242	32	-	-	PUNCT
ejpam-6292	242	33	time	time	NOUN
ejpam-6292	242	34	levels	level	NOUN
ejpam-6292	242	35	n	n	CCONJ
ejpam-6292	242	36	and	and	CCONJ
ejpam-6292	242	37	(	(	PUNCT
ejpam-6292	242	38	n+1	n+1	NOUN
ejpam-6292	242	39	)	)	PUNCT
ejpam-6292	242	40	.	.	PUNCT
ejpam-6292	243	1	the	the	DET
ejpam-6292	243	2	solution	solution	NOUN
ejpam-6292	243	3	at	at	ADP
ejpam-6292	243	4	(	(	PUNCT
ejpam-6292	243	5	n+1)th	n+1)th	PROPN
ejpam-6292	243	6	is	be	AUX
ejpam-6292	243	7	obtained	obtain	VERB
ejpam-6292	243	8	using	use	VERB
ejpam-6292	243	9	the	the	DET
ejpam-6292	243	10	solution	solution	NOUN
ejpam-6292	243	11	at	at	ADP
ejpam-6292	243	12	the	the	DET
ejpam-6292	243	13	nth	nth	NOUN
ejpam-6292	243	14	time	time	NOUN
ejpam-6292	243	15	level	level	NOUN
ejpam-6292	243	16	and	and	CCONJ
ejpam-6292	243	17	an	an	DET
ejpam-6292	243	18	arbitrary	arbitrary	ADJ
ejpam-6292	243	19	intermediate	intermediate	ADJ
ejpam-6292	243	20	time	time	NOUN
ejpam-6292	243	21	level	level	NOUN
ejpam-6292	243	22	.	.	PUNCT
ejpam-6292	244	1	•	•	NUM
ejpam-6292	244	2	first	first	ADJ
ejpam-6292	244	3	stage	stage	NOUN
ejpam-6292	244	4	:	:	PUNCT
ejpam-6292	244	5	computes	compute	VERB
ejpam-6292	244	6	the	the	DET
ejpam-6292	244	7	solution	solution	NOUN
ejpam-6292	244	8	at	at	ADP
ejpam-6292	244	9	the	the	DET
ejpam-6292	244	10	arbitrary	arbitrary	ADJ
ejpam-6292	244	11	time	time	NOUN
ejpam-6292	244	12	level	level	NOUN
ejpam-6292	244	13	using	use	VERB
ejpam-6292	244	14	the	the	DET
ejpam-6292	244	15	nth	nth	NOUN
ejpam-6292	244	16	time	time	NOUN
ejpam-6292	244	17	level	level	NOUN
ejpam-6292	244	18	solution	solution	NOUN
ejpam-6292	244	19	.	.	PUNCT
ejpam-6292	245	1	this	this	DET
ejpam-6292	245	2	stage	stage	NOUN
ejpam-6292	245	3	is	be	AUX
ejpam-6292	245	4	identical	identical	ADJ
ejpam-6292	245	5	for	for	ADP
ejpam-6292	245	6	both	both	CCONJ
ejpam-6292	245	7	deterministic	deterministic	ADJ
ejpam-6292	245	8	and	and	CCONJ
ejpam-6292	245	9	stochastic	stochastic	ADJ
ejpam-6292	245	10	models	model	NOUN
ejpam-6292	245	11	,	,	PUNCT
ejpam-6292	245	12	does	do	AUX
ejpam-6292	245	13	not	not	PART
ejpam-6292	245	14	involve	involve	VERB
ejpam-6292	245	15	any	any	DET
ejpam-6292	245	16	stochastic	stochastic	ADJ
ejpam-6292	245	17	variation	variation	NOUN
ejpam-6292	245	18	,	,	PUNCT
ejpam-6292	245	19	and	and	CCONJ
ejpam-6292	245	20	is	be	AUX
ejpam-6292	245	21	a	a	DET
ejpam-6292	245	22	modification	modification	NOUN
ejpam-6292	245	23	of	of	ADP
ejpam-6292	245	24	the	the	DET
ejpam-6292	245	25	exponential	exponential	ADJ
ejpam-6292	245	26	integrator	integrator	NOUN
ejpam-6292	245	27	,	,	PUNCT
ejpam-6292	245	28	differing	differ	VERB
ejpam-6292	245	29	from	from	ADP
ejpam-6292	245	30	traditional	traditional	ADJ
ejpam-6292	245	31	runge	runge	NOUN
ejpam-6292	245	32	-	-	PUNCT
ejpam-6292	245	33	kutta	kutta	NOUN
ejpam-6292	245	34	schemes	scheme	NOUN
ejpam-6292	245	35	.	.	PUNCT
ejpam-6292	246	1	•	•	NUM
ejpam-6292	246	2	second	second	ADJ
ejpam-6292	246	3	stage	stage	NOUN
ejpam-6292	246	4	:	:	PUNCT
ejpam-6292	246	5	handles	handle	VERB
ejpam-6292	246	6	the	the	DET
ejpam-6292	246	7	wiener	wiener	NOUN
ejpam-6292	246	8	process	process	NOUN
ejpam-6292	246	9	term	term	NOUN
ejpam-6292	246	10	in	in	ADP
ejpam-6292	246	11	the	the	DET
ejpam-6292	246	12	stochastic	stochastic	ADJ
ejpam-6292	246	13	partial	partial	ADJ
ejpam-6292	246	14	differential	differential	NOUN
ejpam-6292	246	15	equation	equation	NOUN
ejpam-6292	246	16	,	,	PUNCT
ejpam-6292	246	17	following	follow	VERB
ejpam-6292	246	18	the	the	DET
ejpam-6292	246	19	euler	euler	NOUN
ejpam-6292	246	20	-	-	PUNCT
ejpam-6292	246	21	maruyama	maruyama	NOUN
ejpam-6292	246	22	method	method	NOUN
ejpam-6292	246	23	,	,	PUNCT
ejpam-6292	246	24	which	which	PRON
ejpam-6292	246	25	is	be	AUX
ejpam-6292	246	26	first	first	ADJ
ejpam-6292	246	27	-	-	PUNCT
ejpam-6292	246	28	order	order	NOUN
ejpam-6292	246	29	accurate	accurate	ADJ
ejpam-6292	246	30	for	for	ADP
ejpam-6292	246	31	deterministic	deterministic	ADJ
ejpam-6292	246	32	models	model	NOUN
ejpam-6292	246	33	.	.	PUNCT
ejpam-6292	247	1	however	however	ADV
ejpam-6292	247	2	,	,	PUNCT
ejpam-6292	247	3	the	the	DET
ejpam-6292	247	4	proposed	propose	VERB
ejpam-6292	247	5	scheme	scheme	NOUN
ejpam-6292	247	6	improves	improve	VERB
ejpam-6292	247	7	accuracy	accuracy	NOUN
ejpam-6292	247	8	by	by	ADP
ejpam-6292	247	9	being	be	AUX
ejpam-6292	247	10	second	second	ADJ
ejpam-6292	247	11	-	-	PUNCT
ejpam-6292	247	12	order	order	NOUN
ejpam-6292	247	13	in	in	ADP
ejpam-6292	247	14	time	time	NOUN
ejpam-6292	247	15	.	.	PUNCT
ejpam-6292	248	1	•	•	NUM
ejpam-6292	248	2	when	when	SCONJ
ejpam-6292	248	3	applied	apply	VERB
ejpam-6292	248	4	with	with	ADP
ejpam-6292	248	5	a	a	DET
ejpam-6292	248	6	compact	compact	ADJ
ejpam-6292	248	7	spatial	spatial	ADJ
ejpam-6292	248	8	scheme	scheme	NOUN
ejpam-6292	248	9	,	,	PUNCT
ejpam-6292	248	10	the	the	DET
ejpam-6292	248	11	scheme	scheme	NOUN
ejpam-6292	248	12	is	be	AUX
ejpam-6292	248	13	conditionally	conditionally	ADV
ejpam-6292	248	14	stable	stable	ADJ
ejpam-6292	248	15	,	,	PUNCT
ejpam-6292	248	16	ensuring	ensure	VERB
ejpam-6292	248	17	better	well	ADJ
ejpam-6292	248	18	numerical	numerical	ADJ
ejpam-6292	248	19	stability	stability	NOUN
ejpam-6292	248	20	and	and	CCONJ
ejpam-6292	248	21	higher	high	ADJ
ejpam-6292	248	22	accuracy	accuracy	NOUN
ejpam-6292	248	23	than	than	ADP
ejpam-6292	248	24	existing	exist	VERB
ejpam-6292	248	25	methods	method	NOUN
ejpam-6292	248	26	.	.	PUNCT
ejpam-6292	249	1	m.	m.	PROPN
ejpam-6292	249	2	s.	s.	PROPN
ejpam-6292	249	3	arif	arif	PROPN
ejpam-6292	249	4	,	,	PUNCT
ejpam-6292	249	5	k.	k.	PROPN
ejpam-6292	249	6	abodayeh	abodayeh	PROPN
ejpam-6292	249	7	,	,	PUNCT
ejpam-6292	249	8	y.	y.	NOUN
ejpam-6292	249	9	nawaz	nawaz	PROPN
ejpam-6292	249	10	/	/	SYM
ejpam-6292	249	11	eur	eur	PROPN
ejpam-6292	249	12	.	.	PUNCT
ejpam-6292	250	1	j.	j.	PROPN
ejpam-6292	250	2	pure	pure	PROPN
ejpam-6292	250	3	appl	appl	PROPN
ejpam-6292	250	4	.	.	PROPN
ejpam-6292	250	5	math	math	PROPN
ejpam-6292	250	6	,	,	PUNCT
ejpam-6292	250	7	18	18	NUM
ejpam-6292	250	8	(	(	PUNCT
ejpam-6292	250	9	3	3	NUM
ejpam-6292	250	10	)	)	PUNCT
ejpam-6292	250	11	(	(	PUNCT
ejpam-6292	250	12	2025	2025	NUM
ejpam-6292	250	13	)	)	PUNCT
ejpam-6292	250	14	,	,	PUNCT
ejpam-6292	250	15	6292	6292	NUM
ejpam-6292	250	16	12	12	NUM
ejpam-6292	250	17	of	of	ADP
ejpam-6292	250	18	24	24	NUM
ejpam-6292	250	19	5.1	5.1	NUM
ejpam-6292	250	20	.	.	PUNCT
ejpam-6292	251	1	comparison	comparison	NOUN
ejpam-6292	251	2	of	of	ADP
ejpam-6292	251	3	proposed	propose	VERB
ejpam-6292	251	4	and	and	CCONJ
ejpam-6292	251	5	euler	euler	NOUN
ejpam-6292	251	6	-	-	PUNCT
ejpam-6292	251	7	maruyama	maruyama	NOUN
ejpam-6292	251	8	method	method	NOUN
ejpam-6292	251	9	for	for	ADP
ejpam-6292	251	10	stochastic	stochastic	ADJ
ejpam-6292	251	11	model	model	NOUN
ejpam-6292	251	12	figure	figure	NOUN
ejpam-6292	251	13	1	1	NUM
ejpam-6292	251	14	compares	compare	VERB
ejpam-6292	251	15	the	the	DET
ejpam-6292	251	16	performance	performance	NOUN
ejpam-6292	251	17	of	of	ADP
ejpam-6292	251	18	the	the	DET
ejpam-6292	251	19	proposed	propose	VERB
ejpam-6292	251	20	numerical	numerical	ADJ
ejpam-6292	251	21	scheme	scheme	NOUN
ejpam-6292	251	22	and	and	CCONJ
ejpam-6292	251	23	the	the	DET
ejpam-6292	251	24	eulermaruyama	eulermaruyama	NOUN
ejpam-6292	251	25	method	method	NOUN
ejpam-6292	251	26	for	for	ADP
ejpam-6292	251	27	solving	solve	VERB
ejpam-6292	251	28	the	the	DET
ejpam-6292	251	29	stochastic	stochastic	ADJ
ejpam-6292	251	30	fuzzy	fuzzy	ADJ
ejpam-6292	251	31	sir	sir	PROPN
ejpam-6292	251	32	-	-	PUNCT
ejpam-6292	251	33	β	β	PROPN
ejpam-6292	251	34	model	model	NOUN
ejpam-6292	251	35	.	.	PUNCT
ejpam-6292	252	1	the	the	DET
ejpam-6292	252	2	comparison	comparison	NOUN
ejpam-6292	252	3	is	be	AUX
ejpam-6292	252	4	made	make	VERB
ejpam-6292	252	5	for	for	ADP
ejpam-6292	252	6	a	a	DET
ejpam-6292	252	7	specific	specific	ADJ
ejpam-6292	252	8	set	set	NOUN
ejpam-6292	252	9	of	of	ADP
ejpam-6292	252	10	parameters	parameter	NOUN
ejpam-6292	252	11	,	,	PUNCT
ejpam-6292	252	12	which	which	PRON
ejpam-6292	252	13	include	include	VERB
ejpam-6292	252	14	diffusion	diffusion	NOUN
ejpam-6292	252	15	coefficients	coefficient	NOUN
ejpam-6292	252	16	,	,	PUNCT
ejpam-6292	252	17	birth	birth	NOUN
ejpam-6292	252	18	rate	rate	NOUN
ejpam-6292	252	19	,	,	PUNCT
ejpam-6292	252	20	transmission	transmission	NOUN
ejpam-6292	252	21	rate	rate	NOUN
ejpam-6292	252	22	,	,	PUNCT
ejpam-6292	252	23	recovery	recovery	NOUN
ejpam-6292	252	24	rate	rate	NOUN
ejpam-6292	252	25	,	,	PUNCT
ejpam-6292	252	26	and	and	CCONJ
ejpam-6292	252	27	other	other	ADJ
ejpam-6292	252	28	epidemiological	epidemiological	ADJ
ejpam-6292	252	29	factors	factor	NOUN
ejpam-6292	252	30	,	,	PUNCT
ejpam-6292	252	31	and	and	CCONJ
ejpam-6292	252	32	their	their	PRON
ejpam-6292	252	33	values	value	NOUN
ejpam-6292	252	34	are	be	AUX
ejpam-6292	252	35	defined	define	VERB
ejpam-6292	252	36	as	as	SCONJ
ejpam-6292	252	37	follows	follow	VERB
ejpam-6292	252	38	:	:	PUNCT
ejpam-6292	252	39	d1	d1	PROPN
ejpam-6292	252	40	=	=	SYM
ejpam-6292	252	41	d2	d2	PROPN
ejpam-6292	252	42	=	=	PUNCT
ejpam-6292	252	43	d3	d3	PROPN
ejpam-6292	252	44	=	=	SYM
ejpam-6292	252	45	d4	d4	PROPN
ejpam-6292	252	46	=	=	SYM
ejpam-6292	252	47	0.1	0.1	NUM
ejpam-6292	252	48	,	,	PUNCT
ejpam-6292	252	49	µ	µ	X
ejpam-6292	252	50	=	=	SYM
ejpam-6292	252	51	0.1	0.1	NUM
ejpam-6292	252	52	,	,	PUNCT
ejpam-6292	252	53	θ	θ	X
ejpam-6292	252	54	=	=	SYM
ejpam-6292	252	55	0.1	0.1	NUM
ejpam-6292	252	56	,	,	PUNCT
ejpam-6292	252	57	γ	γ	X
ejpam-6292	252	58	=	=	SYM
ejpam-6292	252	59	0.4	0.4	NUM
ejpam-6292	252	60	,	,	PUNCT
ejpam-6292	252	61	c1	c1	NOUN
ejpam-6292	252	62	=	=	NOUN
ejpam-6292	252	63	0.1	0.1	NUM
ejpam-6292	252	64	,	,	PUNCT
ejpam-6292	252	65	λ	λ	X
ejpam-6292	252	66	=	=	NOUN
ejpam-6292	252	67	0.1	0.1	NUM
ejpam-6292	252	68	,	,	PUNCT
ejpam-6292	252	69	β1	β1	PROPN
ejpam-6292	252	70	=	=	PUNCT
ejpam-6292	252	71	0.1	0.1	NUM
ejpam-6292	252	72	,	,	PUNCT
ejpam-6292	252	73	α	α	NOUN
ejpam-6292	252	74	=	=	SYM
ejpam-6292	252	75	0.1	0.1	NUM
ejpam-6292	252	76	,	,	PUNCT
ejpam-6292	252	77	m	m	VERB
ejpam-6292	252	78	=	=	NOUN
ejpam-6292	252	79	0.1	0.1	NUM
ejpam-6292	252	80	.	.	PUNCT
ejpam-6292	253	1	the	the	DET
ejpam-6292	253	2	left	left	ADJ
ejpam-6292	253	3	panel	panel	NOUN
ejpam-6292	253	4	represents	represent	VERB
ejpam-6292	253	5	the	the	DET
ejpam-6292	253	6	results	result	NOUN
ejpam-6292	253	7	obtained	obtain	VERB
ejpam-6292	253	8	using	use	VERB
ejpam-6292	253	9	the	the	DET
ejpam-6292	253	10	proposed	propose	VERB
ejpam-6292	253	11	numerical	numerical	ADJ
ejpam-6292	253	12	scheme	scheme	NOUN
ejpam-6292	253	13	.	.	PUNCT
ejpam-6292	254	1	the	the	DET
ejpam-6292	254	2	right	right	ADJ
ejpam-6292	254	3	panel	panel	NOUN
ejpam-6292	254	4	represents	represent	VERB
ejpam-6292	254	5	the	the	DET
ejpam-6292	254	6	results	result	NOUN
ejpam-6292	254	7	obtained	obtain	VERB
ejpam-6292	254	8	using	use	VERB
ejpam-6292	254	9	the	the	DET
ejpam-6292	254	10	euler	euler	NOUN
ejpam-6292	254	11	-	-	PUNCT
ejpam-6292	254	12	maruyama	maruyama	NOUN
ejpam-6292	254	13	method	method	NOUN
ejpam-6292	254	14	.	.	PUNCT
ejpam-6292	255	1	both	both	DET
ejpam-6292	255	2	plots	plot	NOUN
ejpam-6292	255	3	display	display	VERB
ejpam-6292	255	4	the	the	DET
ejpam-6292	255	5	time	time	NOUN
ejpam-6292	255	6	evolution	evolution	NOUN
ejpam-6292	255	7	of	of	ADP
ejpam-6292	255	8	the	the	DET
ejpam-6292	255	9	four	four	NUM
ejpam-6292	255	10	key	key	ADJ
ejpam-6292	255	11	variables	variable	NOUN
ejpam-6292	255	12	:	:	PUNCT
ejpam-6292	255	13	•	•	NUM
ejpam-6292	255	14	susceptible	susceptible	ADJ
ejpam-6292	255	15	s	s	NOUN
ejpam-6292	255	16	–	–	PUNCT
ejpam-6292	255	17	blue	blue	ADJ
ejpam-6292	255	18	curve	curve	NOUN
ejpam-6292	255	19	:	:	PUNCT
ejpam-6292	255	20	initially	initially	ADV
ejpam-6292	255	21	,	,	PUNCT
ejpam-6292	255	22	the	the	DET
ejpam-6292	255	23	number	number	NOUN
ejpam-6292	255	24	of	of	ADP
ejpam-6292	255	25	susceptible	susceptible	ADJ
ejpam-6292	255	26	individuals	individual	NOUN
ejpam-6292	255	27	is	be	AUX
ejpam-6292	255	28	high	high	ADJ
ejpam-6292	255	29	.	.	PUNCT
ejpam-6292	256	1	over	over	ADP
ejpam-6292	256	2	time	time	NOUN
ejpam-6292	256	3	,	,	PUNCT
ejpam-6292	256	4	as	as	SCONJ
ejpam-6292	256	5	individuals	individual	NOUN
ejpam-6292	256	6	become	become	AUX
ejpam-6292	256	7	infected	infect	VERB
ejpam-6292	256	8	,	,	PUNCT
ejpam-6292	256	9	the	the	DET
ejpam-6292	256	10	susceptible	susceptible	ADJ
ejpam-6292	256	11	population	population	NOUN
ejpam-6292	256	12	decreases	decrease	VERB
ejpam-6292	256	13	.	.	PUNCT
ejpam-6292	257	1	in	in	ADP
ejpam-6292	257	2	both	both	DET
ejpam-6292	257	3	methods	method	NOUN
ejpam-6292	257	4	,	,	PUNCT
ejpam-6292	257	5	the	the	DET
ejpam-6292	257	6	susceptible	susceptible	ADJ
ejpam-6292	257	7	population	population	NOUN
ejpam-6292	257	8	drops	drop	VERB
ejpam-6292	257	9	to	to	ADP
ejpam-6292	257	10	near	near	ADP
ejpam-6292	257	11	zero	zero	NUM
ejpam-6292	257	12	.	.	PUNCT
ejpam-6292	258	1	•	•	NOUN
ejpam-6292	258	2	infective	infective	ADJ
ejpam-6292	258	3	i	i	PRON
ejpam-6292	258	4	–	–	PUNCT
ejpam-6292	258	5	yellow	yellow	ADJ
ejpam-6292	258	6	curve	curve	NOUN
ejpam-6292	258	7	:	:	PUNCT
ejpam-6292	258	8	initially	initially	ADV
ejpam-6292	258	9	low	low	ADJ
ejpam-6292	258	10	but	but	CCONJ
ejpam-6292	258	11	rapidly	rapidly	ADV
ejpam-6292	258	12	increases	increase	VERB
ejpam-6292	258	13	as	as	SCONJ
ejpam-6292	258	14	the	the	DET
ejpam-6292	258	15	infection	infection	NOUN
ejpam-6292	258	16	spreads	spread	VERB
ejpam-6292	258	17	.	.	PUNCT
ejpam-6292	259	1	eventually	eventually	ADV
ejpam-6292	259	2	,	,	PUNCT
ejpam-6292	259	3	it	it	PRON
ejpam-6292	259	4	decreases	decrease	VERB
ejpam-6292	259	5	as	as	SCONJ
ejpam-6292	259	6	more	more	ADJ
ejpam-6292	259	7	individuals	individual	NOUN
ejpam-6292	259	8	recover	recover	VERB
ejpam-6292	259	9	or	or	CCONJ
ejpam-6292	259	10	die	die	VERB
ejpam-6292	259	11	.	.	PUNCT
ejpam-6292	260	1	the	the	DET
ejpam-6292	260	2	two	two	NUM
ejpam-6292	260	3	methods	method	NOUN
ejpam-6292	260	4	exhibit	exhibit	VERB
ejpam-6292	260	5	similar	similar	ADJ
ejpam-6292	260	6	infection	infection	NOUN
ejpam-6292	260	7	peaks	peak	NOUN
ejpam-6292	260	8	,	,	PUNCT
ejpam-6292	260	9	but	but	CCONJ
ejpam-6292	260	10	the	the	DET
ejpam-6292	260	11	proposed	propose	VERB
ejpam-6292	260	12	method	method	NOUN
ejpam-6292	260	13	shows	show	VERB
ejpam-6292	260	14	slightly	slightly	ADV
ejpam-6292	260	15	more	more	ADJ
ejpam-6292	260	16	stability	stability	NOUN
ejpam-6292	260	17	.	.	PUNCT
ejpam-6292	261	1	•	•	NUM
ejpam-6292	261	2	recovered	recover	VERB
ejpam-6292	261	3	r	r	NOUN
ejpam-6292	261	4	–	–	PUNCT
ejpam-6292	261	5	magenta	magenta	NOUN
ejpam-6292	261	6	curve	curve	NOUN
ejpam-6292	261	7	:	:	PUNCT
ejpam-6292	261	8	the	the	DET
ejpam-6292	261	9	number	number	NOUN
ejpam-6292	261	10	of	of	ADP
ejpam-6292	261	11	recovered	recover	VERB
ejpam-6292	261	12	individuals	individual	NOUN
ejpam-6292	261	13	increases	increase	NOUN
ejpam-6292	261	14	as	as	SCONJ
ejpam-6292	261	15	infected	infect	VERB
ejpam-6292	261	16	individuals	individual	NOUN
ejpam-6292	261	17	recover	recover	VERB
ejpam-6292	261	18	.	.	PUNCT
ejpam-6292	262	1	the	the	DET
ejpam-6292	262	2	proposed	propose	VERB
ejpam-6292	262	3	method	method	NOUN
ejpam-6292	262	4	produces	produce	VERB
ejpam-6292	262	5	a	a	DET
ejpam-6292	262	6	smooth	smooth	ADJ
ejpam-6292	262	7	recovery	recovery	NOUN
ejpam-6292	262	8	curve	curve	NOUN
ejpam-6292	262	9	compared	compare	VERB
ejpam-6292	262	10	to	to	ADP
ejpam-6292	262	11	the	the	DET
ejpam-6292	262	12	euler	euler	NOUN
ejpam-6292	262	13	-	-	PUNCT
ejpam-6292	262	14	maruyama	maruyama	NOUN
ejpam-6292	262	15	method	method	NOUN
ejpam-6292	262	16	,	,	PUNCT
ejpam-6292	262	17	which	which	PRON
ejpam-6292	262	18	shows	show	VERB
ejpam-6292	262	19	more	more	ADJ
ejpam-6292	262	20	fluctuations	fluctuation	NOUN
ejpam-6292	262	21	due	due	ADP
ejpam-6292	262	22	to	to	ADP
ejpam-6292	262	23	stochastic	stochastic	ADJ
ejpam-6292	262	24	noise	noise	NOUN
ejpam-6292	262	25	.	.	PUNCT
ejpam-6292	263	1	•	•	NUM
ejpam-6292	263	2	transmission	transmission	NOUN
ejpam-6292	263	3	rate	rate	NOUN
ejpam-6292	263	4	β(t	β(t	PROPN
ejpam-6292	263	5	)	)	PUNCT
ejpam-6292	263	6	–	–	PUNCT
ejpam-6292	263	7	cyan	cyan	NOUN
ejpam-6292	263	8	curve	curve	NOUN
ejpam-6292	263	9	:	:	PUNCT
ejpam-6292	263	10	the	the	DET
ejpam-6292	263	11	transmission	transmission	NOUN
ejpam-6292	263	12	rate	rate	NOUN
ejpam-6292	263	13	is	be	AUX
ejpam-6292	263	14	dynamic	dynamic	ADJ
ejpam-6292	263	15	and	and	CCONJ
ejpam-6292	263	16	influenced	influence	VERB
ejpam-6292	263	17	by	by	ADP
ejpam-6292	263	18	stochastic	stochastic	ADJ
ejpam-6292	263	19	variations	variation	NOUN
ejpam-6292	263	20	.	.	PUNCT
ejpam-6292	264	1	in	in	ADP
ejpam-6292	264	2	both	both	DET
ejpam-6292	264	3	methods	method	NOUN
ejpam-6292	264	4	,	,	PUNCT
ejpam-6292	264	5	β(t	β(t	PROPN
ejpam-6292	264	6	)	)	PUNCT
ejpam-6292	264	7	starts	start	VERB
ejpam-6292	264	8	high	high	ADJ
ejpam-6292	264	9	and	and	CCONJ
ejpam-6292	264	10	fluctuates	fluctuate	NOUN
ejpam-6292	264	11	over	over	ADP
ejpam-6292	264	12	time	time	NOUN
ejpam-6292	264	13	due	due	ADP
ejpam-6292	264	14	to	to	ADP
ejpam-6292	264	15	random	random	ADJ
ejpam-6292	264	16	variations	variation	NOUN
ejpam-6292	264	17	.	.	PUNCT
ejpam-6292	265	1	the	the	DET
ejpam-6292	265	2	proposed	propose	VERB
ejpam-6292	265	3	method	method	NOUN
ejpam-6292	265	4	controls	control	VERB
ejpam-6292	265	5	fluctuations	fluctuation	NOUN
ejpam-6292	265	6	better	well	ADV
ejpam-6292	265	7	,	,	PUNCT
ejpam-6292	265	8	whereas	whereas	SCONJ
ejpam-6292	265	9	euler	euler	NOUN
ejpam-6292	265	10	-	-	PUNCT
ejpam-6292	265	11	maruyama	maruyama	NOUN
ejpam-6292	265	12	introduces	introduce	VERB
ejpam-6292	265	13	more	more	ADJ
ejpam-6292	265	14	noise	noise	NOUN
ejpam-6292	265	15	.	.	PUNCT
ejpam-6292	266	1	the	the	DET
ejpam-6292	266	2	proposed	propose	VERB
ejpam-6292	266	3	scheme	scheme	NOUN
ejpam-6292	266	4	demonstrates	demonstrate	VERB
ejpam-6292	266	5	a	a	DET
ejpam-6292	266	6	smoother	smooth	ADJ
ejpam-6292	266	7	transition	transition	NOUN
ejpam-6292	266	8	and	and	CCONJ
ejpam-6292	266	9	better	well	ADJ
ejpam-6292	266	10	numerical	numerical	ADJ
ejpam-6292	266	11	stability	stability	NOUN
ejpam-6292	266	12	.	.	PUNCT
ejpam-6292	267	1	the	the	DET
ejpam-6292	267	2	euler	euler	NOUN
ejpam-6292	267	3	-	-	PUNCT
ejpam-6292	267	4	maruyama	maruyama	NOUN
ejpam-6292	267	5	method	method	NOUN
ejpam-6292	267	6	introduces	introduce	VERB
ejpam-6292	267	7	higher	high	ADJ
ejpam-6292	267	8	stochastic	stochastic	ADJ
ejpam-6292	267	9	variations	variation	NOUN
ejpam-6292	267	10	,	,	PUNCT
ejpam-6292	267	11	leading	lead	VERB
ejpam-6292	267	12	to	to	ADP
ejpam-6292	267	13	greater	great	ADJ
ejpam-6292	267	14	fluctuations	fluctuation	NOUN
ejpam-6292	267	15	in	in	ADP
ejpam-6292	267	16	the	the	DET
ejpam-6292	267	17	infected	infect	VERB
ejpam-6292	267	18	and	and	CCONJ
ejpam-6292	267	19	recovered	recovered	ADJ
ejpam-6292	267	20	populations	population	NOUN
ejpam-6292	267	21	.	.	PUNCT
ejpam-6292	268	1	the	the	DET
ejpam-6292	268	2	proposed	propose	VERB
ejpam-6292	268	3	method	method	NOUN
ejpam-6292	268	4	is	be	AUX
ejpam-6292	268	5	second	second	ADJ
ejpam-6292	268	6	-	-	PUNCT
ejpam-6292	268	7	order	order	NOUN
ejpam-6292	268	8	accurate	accurate	ADJ
ejpam-6292	268	9	in	in	ADP
ejpam-6292	268	10	time	time	NOUN
ejpam-6292	268	11	,	,	PUNCT
ejpam-6292	268	12	whereas	whereas	SCONJ
ejpam-6292	268	13	the	the	DET
ejpam-6292	268	14	euler	euler	NOUN
ejpam-6292	268	15	-	-	PUNCT
ejpam-6292	268	16	maruyama	maruyama	NOUN
ejpam-6292	268	17	method	method	NOUN
ejpam-6292	268	18	is	be	AUX
ejpam-6292	268	19	only	only	ADV
ejpam-6292	268	20	first	first	ADJ
ejpam-6292	268	21	-	-	PUNCT
ejpam-6292	268	22	order	order	NOUN
ejpam-6292	268	23	accurate	accurate	ADJ
ejpam-6292	268	24	,	,	PUNCT
ejpam-6292	268	25	making	make	VERB
ejpam-6292	268	26	the	the	DET
ejpam-6292	268	27	proposed	propose	VERB
ejpam-6292	268	28	method	method	NOUN
ejpam-6292	268	29	more	more	ADV
ejpam-6292	268	30	precise	precise	ADJ
ejpam-6292	268	31	.	.	PUNCT
ejpam-6292	269	1	the	the	DET
ejpam-6292	269	2	stability	stability	NOUN
ejpam-6292	269	3	of	of	ADP
ejpam-6292	269	4	the	the	DET
ejpam-6292	269	5	proposed	propose	VERB
ejpam-6292	269	6	method	method	NOUN
ejpam-6292	269	7	ensures	ensure	VERB
ejpam-6292	269	8	that	that	SCONJ
ejpam-6292	269	9	the	the	DET
ejpam-6292	269	10	disease	disease	NOUN
ejpam-6292	269	11	-	-	PUNCT
ejpam-6292	269	12	free	free	ADJ
ejpam-6292	269	13	equilibrium	equilibrium	NOUN
ejpam-6292	269	14	is	be	AUX
ejpam-6292	269	15	better	well	ADV
ejpam-6292	269	16	preserved	preserve	VERB
ejpam-6292	269	17	,	,	PUNCT
ejpam-6292	269	18	as	as	SCONJ
ejpam-6292	269	19	seen	see	VERB
ejpam-6292	269	20	in	in	ADP
ejpam-6292	269	21	the	the	DET
ejpam-6292	269	22	declining	decline	VERB
ejpam-6292	269	23	susceptible	susceptible	ADJ
ejpam-6292	269	24	and	and	CCONJ
ejpam-6292	269	25	infected	infected	ADJ
ejpam-6292	269	26	populations	population	NOUN
ejpam-6292	269	27	.	.	PUNCT
ejpam-6292	270	1	a	a	DET
ejpam-6292	270	2	quantitative	quantitative	ADJ
ejpam-6292	270	3	comparison	comparison	NOUN
ejpam-6292	270	4	is	be	AUX
ejpam-6292	270	5	shown	show	VERB
ejpam-6292	270	6	in	in	ADP
ejpam-6292	270	7	table	table	NOUN
ejpam-6292	270	8	1	1	NUM
ejpam-6292	270	9	,	,	PUNCT
ejpam-6292	270	10	comparing	compare	VERB
ejpam-6292	270	11	the	the	DET
ejpam-6292	270	12	proposed	propose	VERB
ejpam-6292	270	13	scheme	scheme	NOUN
ejpam-6292	270	14	and	and	CCONJ
ejpam-6292	270	15	the	the	DET
ejpam-6292	270	16	euler	euler	NOUN
ejpam-6292	270	17	-	-	PUNCT
ejpam-6292	270	18	maruyama	maruyama	NOUN
ejpam-6292	270	19	method	method	NOUN
ejpam-6292	270	20	based	base	VERB
ejpam-6292	270	21	on	on	ADP
ejpam-6292	270	22	key	key	ADJ
ejpam-6292	270	23	performance	performance	NOUN
ejpam-6292	270	24	metrics	metric	NOUN
ejpam-6292	270	25	.	.	PUNCT
ejpam-6292	271	1	m.	m.	PROPN
ejpam-6292	271	2	s.	s.	PROPN
ejpam-6292	271	3	arif	arif	PROPN
ejpam-6292	271	4	,	,	PUNCT
ejpam-6292	271	5	k.	k.	PROPN
ejpam-6292	271	6	abodayeh	abodayeh	PROPN
ejpam-6292	271	7	,	,	PUNCT
ejpam-6292	271	8	y.	y.	NOUN
ejpam-6292	271	9	nawaz	nawaz	PROPN
ejpam-6292	271	10	/	/	SYM
ejpam-6292	271	11	eur	eur	PROPN
ejpam-6292	271	12	.	.	PUNCT
ejpam-6292	272	1	j.	j.	PROPN
ejpam-6292	272	2	pure	pure	PROPN
ejpam-6292	272	3	appl	appl	PROPN
ejpam-6292	272	4	.	.	PROPN
ejpam-6292	272	5	math	math	PROPN
ejpam-6292	272	6	,	,	PUNCT
ejpam-6292	272	7	18	18	NUM
ejpam-6292	272	8	(	(	PUNCT
ejpam-6292	272	9	3	3	NUM
ejpam-6292	272	10	)	)	PUNCT
ejpam-6292	272	11	(	(	PUNCT
ejpam-6292	272	12	2025	2025	NUM
ejpam-6292	272	13	)	)	PUNCT
ejpam-6292	272	14	,	,	PUNCT
ejpam-6292	272	15	6292	6292	NUM
ejpam-6292	272	16	13	13	NUM
ejpam-6292	272	17	of	of	ADP
ejpam-6292	272	18	24	24	NUM
ejpam-6292	272	19	table	table	NOUN
ejpam-6292	272	20	1	1	NUM
ejpam-6292	272	21	:	:	PUNCT
ejpam-6292	272	22	quantitative	quantitative	ADJ
ejpam-6292	272	23	comparison	comparison	NOUN
ejpam-6292	272	24	between	between	ADP
ejpam-6292	272	25	the	the	DET
ejpam-6292	272	26	proposed	propose	VERB
ejpam-6292	272	27	scheme	scheme	NOUN
ejpam-6292	272	28	and	and	CCONJ
ejpam-6292	272	29	the	the	DET
ejpam-6292	272	30	euler	euler	NOUN
ejpam-6292	272	31	-	-	PUNCT
ejpam-6292	272	32	maruyama	maruyama	NOUN
ejpam-6292	272	33	method	method	NOUN
ejpam-6292	272	34	.	.	PUNCT
ejpam-6292	273	1	method	method	NOUN
ejpam-6292	273	2	mean	mean	PROPN
ejpam-6292	273	3	final	final	ADJ
ejpam-6292	273	4	peak	peak	NOUN
ejpam-6292	273	5	time	time	NOUN
ejpam-6292	273	6	to	to	PART
ejpam-6292	273	7	mean	mean	VERB
ejpam-6292	273	8	final	final	ADJ
ejpam-6292	273	9	fluct	fluct	NOUN
ejpam-6292	273	10	.	.	PUNCT
ejpam-6292	274	1	in	in	ADP
ejpam-6292	274	2	comp	comp	PROPN
ejpam-6292	274	3	.	.	PUNCT
ejpam-6292	275	1	susceptible	susceptible	ADJ
ejpam-6292	275	2	infection	infection	NOUN
ejpam-6292	275	3	level	level	NOUN
ejpam-6292	275	4	peak	peak	NOUN
ejpam-6292	275	5	recovered	recover	VERB
ejpam-6292	275	6	β(t	β(t	PROPN
ejpam-6292	275	7	)	)	PUNCT
ejpam-6292	275	8	time	time	NOUN
ejpam-6292	275	9	(	(	PUNCT
ejpam-6292	275	10	s	s	NOUN
ejpam-6292	275	11	)	)	PUNCT
ejpam-6292	275	12	proposed	propose	VERB
ejpam-6292	275	13	scheme	scheme	NOUN
ejpam-6292	275	14	0.002	0.002	NUM
ejpam-6292	275	15	0.62	0.62	NUM
ejpam-6292	275	16	8.5	8.5	NUM
ejpam-6292	275	17	0.78	0.78	NUM
ejpam-6292	275	18	0.12	0.12	NUM
ejpam-6292	275	19	1.5	1.5	NUM
ejpam-6292	275	20	euler	euler	NOUN
ejpam-6292	275	21	-	-	PUNCT
ejpam-6292	275	22	maruyama	maruyama	NOUN
ejpam-6292	275	23	0.005	0.005	NUM
ejpam-6292	275	24	0.65	0.65	NUM
ejpam-6292	275	25	9.1	9.1	NUM
ejpam-6292	275	26	0.75	0.75	NUM
ejpam-6292	275	27	0.25	0.25	NUM
ejpam-6292	275	28	2.3	2.3	NUM
ejpam-6292	275	29	the	the	DET
ejpam-6292	275	30	proposed	propose	VERB
ejpam-6292	275	31	scheme	scheme	NOUN
ejpam-6292	275	32	outperforms	outperform	VERB
ejpam-6292	275	33	the	the	DET
ejpam-6292	275	34	euler	euler	NOUN
ejpam-6292	275	35	-	-	PUNCT
ejpam-6292	275	36	maruyama	maruyama	NOUN
ejpam-6292	275	37	method	method	NOUN
ejpam-6292	275	38	by	by	ADP
ejpam-6292	275	39	providing	provide	VERB
ejpam-6292	275	40	better	well	ADJ
ejpam-6292	275	41	stability	stability	NOUN
ejpam-6292	275	42	,	,	PUNCT
ejpam-6292	275	43	lower	low	ADJ
ejpam-6292	275	44	fluctuations	fluctuation	NOUN
ejpam-6292	275	45	,	,	PUNCT
ejpam-6292	275	46	more	more	ADV
ejpam-6292	275	47	accurate	accurate	ADJ
ejpam-6292	275	48	disease	disease	NOUN
ejpam-6292	275	49	-	-	PUNCT
ejpam-6292	275	50	free	free	ADJ
ejpam-6292	275	51	equilibrium	equilibrium	NOUN
ejpam-6292	275	52	,	,	PUNCT
ejpam-6292	275	53	and	and	CCONJ
ejpam-6292	275	54	faster	fast	ADJ
ejpam-6292	275	55	computation	computation	NOUN
ejpam-6292	275	56	.	.	PUNCT
ejpam-6292	276	1	it	it	PRON
ejpam-6292	276	2	is	be	AUX
ejpam-6292	276	3	a	a	DET
ejpam-6292	276	4	more	more	ADV
ejpam-6292	276	5	efficient	efficient	ADJ
ejpam-6292	276	6	and	and	CCONJ
ejpam-6292	276	7	accurate	accurate	ADJ
ejpam-6292	276	8	alternative	alternative	NOUN
ejpam-6292	276	9	for	for	ADP
ejpam-6292	276	10	solving	solve	VERB
ejpam-6292	276	11	the	the	DET
ejpam-6292	276	12	stochastic	stochastic	ADJ
ejpam-6292	276	13	fuzzy	fuzzy	ADJ
ejpam-6292	276	14	sir	sir	PROPN
ejpam-6292	276	15	-	-	PUNCT
ejpam-6292	276	16	β	β	PROPN
ejpam-6292	276	17	model	model	NOUN
ejpam-6292	276	18	.	.	PUNCT
ejpam-6292	277	1	figure	figure	VERB
ejpam-6292	277	2	1	1	NUM
ejpam-6292	277	3	:	:	PUNCT
ejpam-6292	277	4	comparison	comparison	NOUN
ejpam-6292	277	5	of	of	ADP
ejpam-6292	277	6	proposed	propose	VERB
ejpam-6292	277	7	and	and	CCONJ
ejpam-6292	277	8	euler	euler	NOUN
ejpam-6292	277	9	-	-	PUNCT
ejpam-6292	277	10	maruyama	maruyama	NOUN
ejpam-6292	277	11	method	method	NOUN
ejpam-6292	277	12	for	for	ADP
ejpam-6292	277	13	stochastic	stochastic	ADJ
ejpam-6292	277	14	model	model	NOUN
ejpam-6292	277	15	using	use	VERB
ejpam-6292	277	16	d1	d1	PROPN
ejpam-6292	277	17	=	=	SYM
ejpam-6292	277	18	d2	d2	PROPN
ejpam-6292	277	19	=	=	PUNCT
ejpam-6292	277	20	d3	d3	PROPN
ejpam-6292	277	21	=	=	SYM
ejpam-6292	277	22	d4	d4	PROPN
ejpam-6292	277	23	=	=	SYM
ejpam-6292	277	24	0.1	0.1	NUM
ejpam-6292	277	25	,	,	PUNCT
ejpam-6292	277	26	µ	µ	X
ejpam-6292	277	27	=	=	SYM
ejpam-6292	277	28	0.1	0.1	NUM
ejpam-6292	277	29	,	,	PUNCT
ejpam-6292	277	30	θ	θ	X
ejpam-6292	277	31	=	=	SYM
ejpam-6292	277	32	0.1	0.1	NUM
ejpam-6292	277	33	,	,	PUNCT
ejpam-6292	277	34	γ	γ	X
ejpam-6292	277	35	=	=	SYM
ejpam-6292	277	36	0.4	0.4	NUM
ejpam-6292	277	37	,	,	PUNCT
ejpam-6292	277	38	c1	c1	NOUN
ejpam-6292	277	39	=	=	NOUN
ejpam-6292	277	40	0.1	0.1	NUM
ejpam-6292	277	41	,	,	PUNCT
ejpam-6292	277	42	λ	λ	X
ejpam-6292	277	43	=	=	NOUN
ejpam-6292	277	44	0.1	0.1	NUM
ejpam-6292	277	45	,	,	PUNCT
ejpam-6292	277	46	β1	β1	PROPN
ejpam-6292	277	47	=	=	PUNCT
ejpam-6292	277	48	0.1	0.1	NUM
ejpam-6292	277	49	,	,	PUNCT
ejpam-6292	277	50	α	α	NOUN
ejpam-6292	277	51	=	=	SYM
ejpam-6292	277	52	0.1	0.1	NUM
ejpam-6292	277	53	,	,	PUNCT
ejpam-6292	277	54	m	m	VERB
ejpam-6292	277	55	=	=	NOUN
ejpam-6292	277	56	0.1	0.1	NUM
ejpam-6292	277	57	.	.	PUNCT
ejpam-6292	278	1	5.2	5.2	NUM
ejpam-6292	278	2	effect	effect	NOUN
ejpam-6292	278	3	of	of	ADP
ejpam-6292	278	4	people	people	NOUN
ejpam-6292	278	5	’s	’s	PART
ejpam-6292	278	6	resistance	resistance	NOUN
ejpam-6292	278	7	on	on	ADP
ejpam-6292	278	8	fuzzy	fuzzy	ADJ
ejpam-6292	278	9	infective	infective	ADJ
ejpam-6292	278	10	population	population	NOUN
ejpam-6292	278	11	figure	figure	NOUN
ejpam-6292	278	12	2	2	NUM
ejpam-6292	278	13	illustrates	illustrate	VERB
ejpam-6292	278	14	the	the	DET
ejpam-6292	278	15	effect	effect	NOUN
ejpam-6292	278	16	of	of	ADP
ejpam-6292	278	17	people	people	NOUN
ejpam-6292	278	18	’s	’s	PART
ejpam-6292	278	19	resistance	resistance	NOUN
ejpam-6292	278	20	on	on	ADP
ejpam-6292	278	21	the	the	DET
ejpam-6292	278	22	fuzzy	fuzzy	ADJ
ejpam-6292	278	23	infective	infective	ADJ
ejpam-6292	278	24	population	population	NOUN
ejpam-6292	278	25	by	by	ADP
ejpam-6292	278	26	analyzing	analyze	VERB
ejpam-6292	278	27	the	the	DET
ejpam-6292	278	28	behavior	behavior	NOUN
ejpam-6292	278	29	of	of	ADP
ejpam-6292	278	30	β	β	PROPN
ejpam-6292	278	31	(	(	PUNCT
ejpam-6292	278	32	transmission	transmission	NOUN
ejpam-6292	278	33	rate	rate	NOUN
ejpam-6292	278	34	)	)	PUNCT
ejpam-6292	278	35	over	over	ADP
ejpam-6292	278	36	time	time	NOUN
ejpam-6292	278	37	for	for	ADP
ejpam-6292	278	38	different	different	ADJ
ejpam-6292	278	39	values	value	NOUN
ejpam-6292	278	40	of	of	ADP
ejpam-6292	278	41	α	α	PROPN
ejpam-6292	278	42	(	(	PUNCT
ejpam-6292	278	43	a	a	DET
ejpam-6292	278	44	resistance	resistance	NOUN
ejpam-6292	278	45	-	-	PUNCT
ejpam-6292	278	46	related	relate	VERB
ejpam-6292	278	47	parameter	parameter	NOUN
ejpam-6292	278	48	)	)	PUNCT
ejpam-6292	278	49	.	.	PUNCT
ejpam-6292	279	1	the	the	DET
ejpam-6292	279	2	parameters	parameter	NOUN
ejpam-6292	279	3	used	use	VERB
ejpam-6292	279	4	in	in	ADP
ejpam-6292	279	5	the	the	DET
ejpam-6292	279	6	simulation	simulation	NOUN
ejpam-6292	279	7	are	be	AUX
ejpam-6292	279	8	:	:	PUNCT
ejpam-6292	279	9	d1	d1	PROPN
ejpam-6292	279	10	=	=	SYM
ejpam-6292	279	11	d2	d2	PROPN
ejpam-6292	279	12	=	=	PUNCT
ejpam-6292	279	13	d3	d3	PROPN
ejpam-6292	279	14	=	=	SYM
ejpam-6292	279	15	d4	d4	PROPN
ejpam-6292	279	16	=	=	SYM
ejpam-6292	279	17	0.1	0.1	NUM
ejpam-6292	279	18	,	,	PUNCT
ejpam-6292	279	19	θ	θ	X
ejpam-6292	279	20	=	=	SYM
ejpam-6292	279	21	0.1	0.1	NUM
ejpam-6292	279	22	,	,	PUNCT
ejpam-6292	279	23	γ	γ	X
ejpam-6292	279	24	=	=	SYM
ejpam-6292	279	25	0.1	0.1	NUM
ejpam-6292	279	26	,	,	PUNCT
ejpam-6292	279	27	c1	c1	NOUN
ejpam-6292	279	28	=	=	NOUN
ejpam-6292	279	29	0.1	0.1	NUM
ejpam-6292	279	30	,	,	PUNCT
ejpam-6292	279	31	λ	λ	X
ejpam-6292	279	32	=	=	NOUN
ejpam-6292	279	33	0.1	0.1	NUM
ejpam-6292	279	34	,	,	PUNCT
ejpam-6292	279	35	β1	β1	PROPN
ejpam-6292	279	36	=	=	PUNCT
ejpam-6292	279	37	0.1	0.1	NUM
ejpam-6292	279	38	,	,	PUNCT
ejpam-6292	279	39	m	m	VERB
ejpam-6292	279	40	=	=	NOUN
ejpam-6292	279	41	0.1	0.1	NUM
ejpam-6292	279	42	.	.	PUNCT
ejpam-6292	280	1	the	the	DET
ejpam-6292	280	2	figure	figure	NOUN
ejpam-6292	280	3	compares	compare	VERB
ejpam-6292	280	4	two	two	NUM
ejpam-6292	280	5	fuzzy	fuzzy	ADJ
ejpam-6292	280	6	transmission	transmission	NOUN
ejpam-6292	280	7	rates	rate	NOUN
ejpam-6292	280	8	,	,	PUNCT
ejpam-6292	280	9	β1	β1	PROPN
ejpam-6292	280	10	and	and	CCONJ
ejpam-6292	280	11	β2	β2	PROPN
ejpam-6292	280	12	,	,	PUNCT
ejpam-6292	280	13	under	under	ADP
ejpam-6292	280	14	varying	vary	VERB
ejpam-6292	280	15	values	value	NOUN
ejpam-6292	280	16	of	of	ADP
ejpam-6292	280	17	α	α	PROPN
ejpam-6292	280	18	(	(	PUNCT
ejpam-6292	280	19	0.1	0.1	NUM
ejpam-6292	280	20	and	and	CCONJ
ejpam-6292	280	21	0.3	0.3	NUM
ejpam-6292	280	22	)	)	PUNCT
ejpam-6292	280	23	.	.	PUNCT
ejpam-6292	281	1	•	•	NUM
ejpam-6292	281	2	solid	solid	ADJ
ejpam-6292	281	3	line	line	NOUN
ejpam-6292	281	4	(	(	PUNCT
ejpam-6292	281	5	β1	β1	PROPN
ejpam-6292	281	6	at	at	ADP
ejpam-6292	281	7	α	α	NOUN
ejpam-6292	281	8	=	=	SYM
ejpam-6292	281	9	0.1	0.1	NUM
ejpam-6292	281	10	):	):	PUNCT
ejpam-6292	281	11	represents	represent	VERB
ejpam-6292	281	12	the	the	DET
ejpam-6292	281	13	transmission	transmission	NOUN
ejpam-6292	281	14	rate	rate	NOUN
ejpam-6292	281	15	β1	β1	PROPN
ejpam-6292	281	16	when	when	SCONJ
ejpam-6292	281	17	the	the	DET
ejpam-6292	281	18	resistance	resistance	NOUN
ejpam-6292	281	19	effect	effect	NOUN
ejpam-6292	281	20	is	be	AUX
ejpam-6292	281	21	low	low	ADJ
ejpam-6292	281	22	.	.	PUNCT
ejpam-6292	282	1	at	at	ADP
ejpam-6292	282	2	α	α	NOUN
ejpam-6292	282	3	=	=	SYM
ejpam-6292	282	4	0.1	0.1	NUM
ejpam-6292	282	5	,	,	PUNCT
ejpam-6292	282	6	the	the	DET
ejpam-6292	282	7	transmission	transmission	NOUN
ejpam-6292	282	8	rate	rate	NOUN
ejpam-6292	282	9	declines	decline	VERB
ejpam-6292	282	10	gradually	gradually	ADV
ejpam-6292	282	11	,	,	PUNCT
ejpam-6292	282	12	reducing	reduce	VERB
ejpam-6292	282	13	disease	disease	NOUN
ejpam-6292	282	14	transmission	transmission	NOUN
ejpam-6292	282	15	but	but	CCONJ
ejpam-6292	282	16	not	not	PART
ejpam-6292	282	17	drastically	drastically	ADV
ejpam-6292	282	18	.	.	PUNCT
ejpam-6292	283	1	•	•	NUM
ejpam-6292	283	2	dashed	dash	VERB
ejpam-6292	283	3	line	line	NOUN
ejpam-6292	283	4	(	(	PUNCT
ejpam-6292	283	5	β1	β1	PROPN
ejpam-6292	283	6	at	at	ADP
ejpam-6292	283	7	α	α	NOUN
ejpam-6292	283	8	=	=	PUNCT
ejpam-6292	283	9	0.3	0.3	NUM
ejpam-6292	283	10	):	):	PUNCT
ejpam-6292	283	11	represents	represent	VERB
ejpam-6292	283	12	the	the	DET
ejpam-6292	283	13	case	case	NOUN
ejpam-6292	283	14	where	where	SCONJ
ejpam-6292	283	15	resistance	resistance	NOUN
ejpam-6292	283	16	is	be	AUX
ejpam-6292	283	17	increased	increase	VERB
ejpam-6292	283	18	to	to	ADP
ejpam-6292	283	19	α	α	X
ejpam-6292	283	20	=	=	NOUN
ejpam-6292	283	21	0.3	0.3	NUM
ejpam-6292	283	22	.	.	PUNCT
ejpam-6292	284	1	the	the	DET
ejpam-6292	284	2	transmission	transmission	NOUN
ejpam-6292	284	3	rate	rate	NOUN
ejpam-6292	284	4	declines	decline	VERB
ejpam-6292	284	5	more	more	ADV
ejpam-6292	284	6	sharply	sharply	ADV
ejpam-6292	284	7	compared	compare	VERB
ejpam-6292	284	8	to	to	ADP
ejpam-6292	284	9	α	α	NOUN
ejpam-6292	284	10	=	=	SYM
ejpam-6292	284	11	0.1	0.1	NUM
ejpam-6292	284	12	,	,	PUNCT
ejpam-6292	284	13	indicating	indicate	VERB
ejpam-6292	284	14	that	that	SCONJ
ejpam-6292	284	15	higher	high	ADJ
ejpam-6292	284	16	resistance	resistance	NOUN
ejpam-6292	284	17	significantly	significantly	ADV
ejpam-6292	284	18	reduces	reduce	VERB
ejpam-6292	284	19	disease	disease	NOUN
ejpam-6292	284	20	spread	spread	VERB
ejpam-6292	284	21	.	.	PUNCT
ejpam-6292	285	1	•	•	NUM
ejpam-6292	285	2	dash	dash	NOUN
ejpam-6292	285	3	-	-	PUNCT
ejpam-6292	285	4	dot	dot	NOUN
ejpam-6292	285	5	line	line	NOUN
ejpam-6292	285	6	(	(	PUNCT
ejpam-6292	285	7	β2	β2	VERB
ejpam-6292	285	8	at	at	ADP
ejpam-6292	285	9	α	α	NOUN
ejpam-6292	285	10	=	=	SYM
ejpam-6292	285	11	0.1	0.1	NUM
ejpam-6292	285	12	):	):	PUNCT
ejpam-6292	285	13	shows	show	VERB
ejpam-6292	285	14	the	the	DET
ejpam-6292	285	15	behavior	behavior	NOUN
ejpam-6292	285	16	of	of	ADP
ejpam-6292	285	17	another	another	DET
ejpam-6292	285	18	transmission	transmission	NOUN
ejpam-6292	285	19	function	function	NOUN
ejpam-6292	285	20	β2	β2	VERB
ejpam-6292	285	21	at	at	ADP
ejpam-6292	285	22	a	a	DET
ejpam-6292	285	23	lower	low	ADJ
ejpam-6292	285	24	resistance	resistance	NOUN
ejpam-6292	285	25	level	level	NOUN
ejpam-6292	285	26	.	.	PUNCT
ejpam-6292	286	1	the	the	DET
ejpam-6292	286	2	decline	decline	NOUN
ejpam-6292	286	3	is	be	AUX
ejpam-6292	286	4	similar	similar	ADJ
ejpam-6292	286	5	to	to	ADP
ejpam-6292	286	6	β1	β1	PROPN
ejpam-6292	286	7	but	but	CCONJ
ejpam-6292	286	8	at	at	ADP
ejpam-6292	286	9	a	a	DET
ejpam-6292	286	10	slightly	slightly	ADV
ejpam-6292	286	11	different	different	ADJ
ejpam-6292	286	12	rate	rate	NOUN
ejpam-6292	286	13	,	,	PUNCT
ejpam-6292	286	14	which	which	PRON
ejpam-6292	286	15	could	could	AUX
ejpam-6292	286	16	indicate	indicate	VERB
ejpam-6292	286	17	another	another	DET
ejpam-6292	286	18	fuzzy	fuzzy	ADJ
ejpam-6292	286	19	interpretation	interpretation	NOUN
ejpam-6292	286	20	of	of	ADP
ejpam-6292	286	21	disease	disease	NOUN
ejpam-6292	286	22	transmission	transmission	NOUN
ejpam-6292	286	23	.	.	PUNCT
ejpam-6292	287	1	m.	m.	PROPN
ejpam-6292	287	2	s.	s.	PROPN
ejpam-6292	287	3	arif	arif	PROPN
ejpam-6292	287	4	,	,	PUNCT
ejpam-6292	287	5	k.	k.	PROPN
ejpam-6292	287	6	abodayeh	abodayeh	PROPN
ejpam-6292	287	7	,	,	PUNCT
ejpam-6292	287	8	y.	y.	NOUN
ejpam-6292	287	9	nawaz	nawaz	PROPN
ejpam-6292	287	10	/	/	SYM
ejpam-6292	287	11	eur	eur	PROPN
ejpam-6292	287	12	.	.	PUNCT
ejpam-6292	288	1	j.	j.	PROPN
ejpam-6292	288	2	pure	pure	PROPN
ejpam-6292	288	3	appl	appl	PROPN
ejpam-6292	288	4	.	.	PROPN
ejpam-6292	288	5	math	math	PROPN
ejpam-6292	288	6	,	,	PUNCT
ejpam-6292	288	7	18	18	NUM
ejpam-6292	288	8	(	(	PUNCT
ejpam-6292	288	9	3	3	NUM
ejpam-6292	288	10	)	)	PUNCT
ejpam-6292	288	11	(	(	PUNCT
ejpam-6292	288	12	2025	2025	NUM
ejpam-6292	288	13	)	)	PUNCT
ejpam-6292	288	14	,	,	PUNCT
ejpam-6292	288	15	6292	6292	NUM
ejpam-6292	288	16	14	14	NUM
ejpam-6292	288	17	of	of	ADP
ejpam-6292	288	18	24	24	NUM
ejpam-6292	288	19	•	•	NUM
ejpam-6292	288	20	dotted	dotted	ADJ
ejpam-6292	288	21	line	line	NOUN
ejpam-6292	288	22	(	(	PUNCT
ejpam-6292	288	23	β2	β2	VERB
ejpam-6292	288	24	at	at	ADP
ejpam-6292	288	25	α	α	NOUN
ejpam-6292	288	26	=	=	PUNCT
ejpam-6292	288	27	0.3	0.3	NUM
ejpam-6292	288	28	):	):	PUNCT
ejpam-6292	288	29	similar	similar	ADJ
ejpam-6292	288	30	to	to	ADP
ejpam-6292	288	31	the	the	DET
ejpam-6292	288	32	other	other	ADJ
ejpam-6292	288	33	case	case	NOUN
ejpam-6292	288	34	but	but	CCONJ
ejpam-6292	288	35	with	with	ADP
ejpam-6292	288	36	higher	high	ADJ
ejpam-6292	288	37	resistance	resistance	NOUN
ejpam-6292	288	38	(	(	PUNCT
ejpam-6292	288	39	α	α	NOUN
ejpam-6292	288	40	=	=	NOUN
ejpam-6292	288	41	0.3	0.3	NUM
ejpam-6292	288	42	)	)	PUNCT
ejpam-6292	288	43	,	,	PUNCT
ejpam-6292	288	44	leading	lead	VERB
ejpam-6292	288	45	to	to	ADP
ejpam-6292	288	46	a	a	DET
ejpam-6292	288	47	sharper	sharp	ADJ
ejpam-6292	288	48	decline	decline	NOUN
ejpam-6292	288	49	in	in	ADP
ejpam-6292	288	50	the	the	DET
ejpam-6292	288	51	transmission	transmission	NOUN
ejpam-6292	288	52	rate	rate	NOUN
ejpam-6292	288	53	.	.	PUNCT
ejpam-6292	289	1	increasing	increase	VERB
ejpam-6292	289	2	α	α	PROPN
ejpam-6292	289	3	(	(	PUNCT
ejpam-6292	289	4	resistance	resistance	NOUN
ejpam-6292	289	5	factor	factor	NOUN
ejpam-6292	289	6	)	)	PUNCT
ejpam-6292	289	7	decreases	decrease	VERB
ejpam-6292	289	8	β	β	X
ejpam-6292	289	9	faster	fast	ADV
ejpam-6292	289	10	,	,	PUNCT
ejpam-6292	289	11	meaning	mean	VERB
ejpam-6292	289	12	higher	high	ADJ
ejpam-6292	289	13	resistance	resistance	NOUN
ejpam-6292	289	14	leads	lead	VERB
ejpam-6292	289	15	to	to	ADP
ejpam-6292	289	16	lower	low	ADJ
ejpam-6292	289	17	disease	disease	NOUN
ejpam-6292	289	18	transmission	transmission	NOUN
ejpam-6292	289	19	.	.	PUNCT
ejpam-6292	290	1	the	the	DET
ejpam-6292	290	2	difference	difference	NOUN
ejpam-6292	290	3	in	in	ADP
ejpam-6292	290	4	β1	β1	PROPN
ejpam-6292	290	5	and	and	CCONJ
ejpam-6292	290	6	β2	β2	NOUN
ejpam-6292	290	7	suggests	suggest	VERB
ejpam-6292	290	8	that	that	SCONJ
ejpam-6292	290	9	different	different	ADJ
ejpam-6292	290	10	interpretations	interpretation	NOUN
ejpam-6292	290	11	of	of	ADP
ejpam-6292	290	12	fuzzy	fuzzy	ADJ
ejpam-6292	290	13	transmission	transmission	NOUN
ejpam-6292	290	14	rates	rate	NOUN
ejpam-6292	290	15	exist	exist	VERB
ejpam-6292	290	16	,	,	PUNCT
ejpam-6292	290	17	but	but	CCONJ
ejpam-6292	290	18	both	both	PRON
ejpam-6292	290	19	exhibit	exhibit	VERB
ejpam-6292	290	20	the	the	DET
ejpam-6292	290	21	same	same	ADJ
ejpam-6292	290	22	trend	trend	NOUN
ejpam-6292	290	23	:	:	PUNCT
ejpam-6292	290	24	higher	high	ADJ
ejpam-6292	290	25	resistance	resistance	NOUN
ejpam-6292	290	26	reduces	reduce	VERB
ejpam-6292	290	27	infection	infection	NOUN
ejpam-6292	290	28	spread	spread	NOUN
ejpam-6292	290	29	.	.	PUNCT
ejpam-6292	291	1	this	this	DET
ejpam-6292	291	2	result	result	NOUN
ejpam-6292	291	3	supports	support	VERB
ejpam-6292	291	4	the	the	DET
ejpam-6292	291	5	idea	idea	NOUN
ejpam-6292	291	6	that	that	SCONJ
ejpam-6292	291	7	interventions	intervention	NOUN
ejpam-6292	291	8	to	to	PART
ejpam-6292	291	9	increase	increase	VERB
ejpam-6292	291	10	resistance	resistance	NOUN
ejpam-6292	291	11	(	(	PUNCT
ejpam-6292	291	12	e.g.	e.g.	ADV
ejpam-6292	291	13	,	,	PUNCT
ejpam-6292	291	14	vaccination	vaccination	NOUN
ejpam-6292	291	15	,	,	PUNCT
ejpam-6292	291	16	immunity	immunity	NOUN
ejpam-6292	291	17	,	,	PUNCT
ejpam-6292	291	18	or	or	CCONJ
ejpam-6292	291	19	behavioral	behavioral	ADJ
ejpam-6292	291	20	changes	change	NOUN
ejpam-6292	291	21	)	)	PUNCT
ejpam-6292	291	22	can	can	AUX
ejpam-6292	291	23	effectively	effectively	ADV
ejpam-6292	291	24	control	control	VERB
ejpam-6292	291	25	the	the	DET
ejpam-6292	291	26	spread	spread	NOUN
ejpam-6292	291	27	of	of	ADP
ejpam-6292	291	28	disease	disease	NOUN
ejpam-6292	291	29	.	.	PUNCT
ejpam-6292	292	1	figure	figure	NOUN
ejpam-6292	292	2	2	2	NUM
ejpam-6292	292	3	:	:	PUNCT
ejpam-6292	292	4	effect	effect	NOUN
ejpam-6292	292	5	of	of	ADP
ejpam-6292	292	6	people	people	NOUN
ejpam-6292	292	7	’s	’s	PART
ejpam-6292	292	8	resistance	resistance	NOUN
ejpam-6292	292	9	on	on	ADP
ejpam-6292	292	10	fuzzy	fuzzy	ADJ
ejpam-6292	292	11	infective	infective	ADJ
ejpam-6292	292	12	population	population	NOUN
ejpam-6292	292	13	:	:	PUNCT
ejpam-6292	292	14	comparison	comparison	NOUN
ejpam-6292	292	15	of	of	ADP
ejpam-6292	292	16	β1	β1	PROPN
ejpam-6292	292	17	and	and	CCONJ
ejpam-6292	292	18	β2	β2	NOUN
ejpam-6292	292	19	under	under	ADP
ejpam-6292	292	20	α	α	NOUN
ejpam-6292	292	21	=	=	SYM
ejpam-6292	292	22	0.1	0.1	NUM
ejpam-6292	292	23	and	and	CCONJ
ejpam-6292	292	24	α	α	NOUN
ejpam-6292	292	25	=	=	NOUN
ejpam-6292	292	26	0.3	0.3	NUM
ejpam-6292	292	27	.	.	PUNCT
ejpam-6292	293	1	5.3	5.3	NUM
ejpam-6292	293	2	effect	effect	NOUN
ejpam-6292	293	3	of	of	ADP
ejpam-6292	293	4	recovery	recovery	NOUN
ejpam-6292	293	5	rate	rate	NOUN
ejpam-6292	293	6	γ	γ	X
ejpam-6292	293	7	on	on	ADP
ejpam-6292	293	8	fuzzy	fuzzy	ADJ
ejpam-6292	293	9	infective	infective	ADJ
ejpam-6292	293	10	and	and	CCONJ
ejpam-6292	293	11	recovered	recovered	ADJ
ejpam-6292	293	12	populations	population	NOUN
ejpam-6292	293	13	figure	figure	VERB
ejpam-6292	293	14	3	3	NUM
ejpam-6292	293	15	illustrates	illustrate	VERB
ejpam-6292	293	16	the	the	DET
ejpam-6292	293	17	recovery	recovery	NOUN
ejpam-6292	293	18	rate	rate	NOUN
ejpam-6292	293	19	γ	γ	X
ejpam-6292	293	20	on	on	ADP
ejpam-6292	293	21	the	the	DET
ejpam-6292	293	22	dynamics	dynamic	NOUN
ejpam-6292	293	23	of	of	ADP
ejpam-6292	293	24	the	the	DET
ejpam-6292	293	25	infective	infective	ADJ
ejpam-6292	293	26	i	i	PRON
ejpam-6292	293	27	and	and	CCONJ
ejpam-6292	293	28	recovered	recover	VERB
ejpam-6292	293	29	r	r	NOUN
ejpam-6292	293	30	populations	population	NOUN
ejpam-6292	293	31	in	in	ADP
ejpam-6292	293	32	the	the	DET
ejpam-6292	293	33	fuzzy	fuzzy	ADJ
ejpam-6292	293	34	stochastic	stochastic	NOUN
ejpam-6292	293	35	sir	sir	PROPN
ejpam-6292	293	36	-	-	PUNCT
ejpam-6292	293	37	β	β	PROPN
ejpam-6292	293	38	model	model	NOUN
ejpam-6292	293	39	.	.	PUNCT
ejpam-6292	294	1	the	the	DET
ejpam-6292	294	2	parameters	parameter	NOUN
ejpam-6292	294	3	used	use	VERB
ejpam-6292	294	4	in	in	ADP
ejpam-6292	294	5	the	the	DET
ejpam-6292	294	6	simulation	simulation	NOUN
ejpam-6292	294	7	are	be	AUX
ejpam-6292	294	8	:	:	PUNCT
ejpam-6292	294	9	d1	d1	PROPN
ejpam-6292	294	10	=	=	SYM
ejpam-6292	294	11	d2	d2	PROPN
ejpam-6292	294	12	=	=	PUNCT
ejpam-6292	294	13	d3	d3	PROPN
ejpam-6292	294	14	=	=	SYM
ejpam-6292	294	15	d4	d4	PROPN
ejpam-6292	294	16	=	=	SYM
ejpam-6292	294	17	0.1	0.1	NUM
ejpam-6292	294	18	,	,	PUNCT
ejpam-6292	294	19	θ	θ	X
ejpam-6292	294	20	=	=	SYM
ejpam-6292	294	21	0.1	0.1	NUM
ejpam-6292	294	22	,	,	PUNCT
ejpam-6292	294	23	c1	c1	NOUN
ejpam-6292	294	24	=	=	NOUN
ejpam-6292	294	25	0.1	0.1	NUM
ejpam-6292	294	26	,	,	PUNCT
ejpam-6292	294	27	λ	λ	X
ejpam-6292	294	28	=	=	NOUN
ejpam-6292	294	29	0.1	0.1	NUM
ejpam-6292	294	30	,	,	PUNCT
ejpam-6292	294	31	β1	β1	PROPN
ejpam-6292	294	32	=	=	PUNCT
ejpam-6292	294	33	0.1	0.1	NUM
ejpam-6292	294	34	,	,	PUNCT
ejpam-6292	294	35	m	m	VERB
ejpam-6292	294	36	=	=	NOUN
ejpam-6292	294	37	0.1	0.1	NUM
ejpam-6292	294	38	.	.	PUNCT
ejpam-6292	295	1	left	leave	VERB
ejpam-6292	295	2	panel	panel	NOUN
ejpam-6292	295	3	:	:	PUNCT
ejpam-6292	295	4	shows	show	VERB
ejpam-6292	295	5	the	the	DET
ejpam-6292	295	6	infective	infective	ADJ
ejpam-6292	295	7	population	population	NOUN
ejpam-6292	295	8	i	i	PRON
ejpam-6292	295	9	over	over	ADP
ejpam-6292	295	10	time	time	NOUN
ejpam-6292	295	11	for	for	ADP
ejpam-6292	295	12	two	two	NUM
ejpam-6292	295	13	different	different	ADJ
ejpam-6292	295	14	recovery	recovery	NOUN
ejpam-6292	295	15	rates	rate	NOUN
ejpam-6292	295	16	:	:	PUNCT
ejpam-6292	295	17	γ	γ	X
ejpam-6292	295	18	=	=	SYM
ejpam-6292	295	19	0.1	0.1	NUM
ejpam-6292	295	20	(	(	PUNCT
ejpam-6292	295	21	slow	slow	ADJ
ejpam-6292	295	22	recovery	recovery	NOUN
ejpam-6292	295	23	)	)	PUNCT
ejpam-6292	295	24	and	and	CCONJ
ejpam-6292	295	25	γ	γ	X
ejpam-6292	295	26	=	=	SYM
ejpam-6292	295	27	0.4	0.4	NUM
ejpam-6292	295	28	(	(	PUNCT
ejpam-6292	295	29	faster	fast	ADJ
ejpam-6292	295	30	recovery	recovery	NOUN
ejpam-6292	295	31	)	)	PUNCT
ejpam-6292	295	32	.	.	PUNCT
ejpam-6292	296	1	right	right	ADJ
ejpam-6292	296	2	panel	panel	NOUN
ejpam-6292	296	3	:	:	PUNCT
ejpam-6292	296	4	shows	show	VERB
ejpam-6292	296	5	the	the	DET
ejpam-6292	296	6	recovered	recover	VERB
ejpam-6292	296	7	population	population	NOUN
ejpam-6292	296	8	r	r	NOUN
ejpam-6292	296	9	over	over	ADP
ejpam-6292	296	10	time	time	NOUN
ejpam-6292	296	11	for	for	ADP
ejpam-6292	296	12	the	the	DET
ejpam-6292	296	13	same	same	ADJ
ejpam-6292	296	14	recovery	recovery	NOUN
ejpam-6292	296	15	rates	rate	VERB
ejpam-6292	296	16	γ	γ	NOUN
ejpam-6292	296	17	=	=	SYM
ejpam-6292	296	18	0.1	0.1	NUM
ejpam-6292	296	19	and	and	CCONJ
ejpam-6292	296	20	γ	γ	X
ejpam-6292	296	21	=	=	SYM
ejpam-6292	296	22	0.4	0.4	NUM
ejpam-6292	296	23	.	.	PUNCT
ejpam-6292	297	1	each	each	DET
ejpam-6292	297	2	panel	panel	NOUN
ejpam-6292	297	3	contains	contain	VERB
ejpam-6292	297	4	two	two	NUM
ejpam-6292	297	5	fuzzy	fuzzy	ADJ
ejpam-6292	297	6	interpretations	interpretation	NOUN
ejpam-6292	297	7	of	of	ADP
ejpam-6292	297	8	i	i	PRON
ejpam-6292	297	9	and	and	CCONJ
ejpam-6292	297	10	r	r	PROPN
ejpam-6292	297	11	,	,	PUNCT
ejpam-6292	297	12	labeled	label	VERB
ejpam-6292	297	13	as	as	ADP
ejpam-6292	297	14	i1	i1	PROPN
ejpam-6292	297	15	,	,	PUNCT
ejpam-6292	297	16	i2	i2	PROPN
ejpam-6292	297	17	and	and	CCONJ
ejpam-6292	297	18	r1	r1	NOUN
ejpam-6292	297	19	,	,	PUNCT
ejpam-6292	297	20	r2	r2	PROPN
ejpam-6292	297	21	,	,	PUNCT
ejpam-6292	297	22	with	with	ADP
ejpam-6292	297	23	different	different	ADJ
ejpam-6292	297	24	types	type	NOUN
ejpam-6292	297	25	of	of	ADP
ejpam-6292	297	26	curves	curve	NOUN
ejpam-6292	297	27	.	.	PUNCT
ejpam-6292	298	1	left	leave	VERB
ejpam-6292	298	2	panel	panel	NOUN
ejpam-6292	298	3	(	(	PUNCT
ejpam-6292	298	4	infective	infective	ADJ
ejpam-6292	298	5	population	population	NOUN
ejpam-6292	298	6	i	i	NOUN
ejpam-6292	298	7	):	):	PUNCT
ejpam-6292	298	8	•	•	ADP
ejpam-6292	298	9	solid	solid	ADJ
ejpam-6292	298	10	and	and	CCONJ
ejpam-6292	298	11	dashed	dash	VERB
ejpam-6292	298	12	lines	line	NOUN
ejpam-6292	298	13	i1	i1	PROPN
ejpam-6292	298	14	represent	represent	VERB
ejpam-6292	298	15	one	one	NUM
ejpam-6292	298	16	fuzzy	fuzzy	ADJ
ejpam-6292	298	17	interpretation	interpretation	NOUN
ejpam-6292	298	18	of	of	ADP
ejpam-6292	298	19	the	the	DET
ejpam-6292	298	20	infective	infective	ADJ
ejpam-6292	298	21	population	population	NOUN
ejpam-6292	298	22	,	,	PUNCT
ejpam-6292	298	23	while	while	SCONJ
ejpam-6292	298	24	dash	dash	NOUN
ejpam-6292	298	25	-	-	PUNCT
ejpam-6292	298	26	dot	dot	NOUN
ejpam-6292	298	27	and	and	CCONJ
ejpam-6292	298	28	dotted	dotted	ADJ
ejpam-6292	298	29	lines	line	NOUN
ejpam-6292	298	30	i2	i2	PROPN
ejpam-6292	298	31	represent	represent	VERB
ejpam-6292	298	32	another	another	PRON
ejpam-6292	298	33	.	.	PUNCT
ejpam-6292	299	1	m.	m.	PROPN
ejpam-6292	299	2	s.	s.	PROPN
ejpam-6292	299	3	arif	arif	PROPN
ejpam-6292	299	4	,	,	PUNCT
ejpam-6292	299	5	k.	k.	PROPN
ejpam-6292	299	6	abodayeh	abodayeh	PROPN
ejpam-6292	299	7	,	,	PUNCT
ejpam-6292	299	8	y.	y.	NOUN
ejpam-6292	299	9	nawaz	nawaz	PROPN
ejpam-6292	299	10	/	/	SYM
ejpam-6292	299	11	eur	eur	PROPN
ejpam-6292	299	12	.	.	PUNCT
ejpam-6292	300	1	j.	j.	PROPN
ejpam-6292	300	2	pure	pure	PROPN
ejpam-6292	300	3	appl	appl	PROPN
ejpam-6292	300	4	.	.	PROPN
ejpam-6292	300	5	math	math	PROPN
ejpam-6292	300	6	,	,	PUNCT
ejpam-6292	300	7	18	18	NUM
ejpam-6292	300	8	(	(	PUNCT
ejpam-6292	300	9	3	3	NUM
ejpam-6292	300	10	)	)	PUNCT
ejpam-6292	300	11	(	(	PUNCT
ejpam-6292	300	12	2025	2025	NUM
ejpam-6292	300	13	)	)	PUNCT
ejpam-6292	300	14	,	,	PUNCT
ejpam-6292	300	15	6292	6292	NUM
ejpam-6292	300	16	15	15	NUM
ejpam-6292	300	17	of	of	ADP
ejpam-6292	300	18	24	24	NUM
ejpam-6292	300	19	•	•	NOUN
ejpam-6292	300	20	for	for	ADP
ejpam-6292	300	21	γ	γ	X
ejpam-6292	300	22	=	=	SYM
ejpam-6292	300	23	0.1	0.1	NUM
ejpam-6292	300	24	(	(	PUNCT
ejpam-6292	300	25	slow	slow	ADJ
ejpam-6292	300	26	recovery	recovery	NOUN
ejpam-6292	300	27	):	):	PUNCT
ejpam-6292	300	28	the	the	DET
ejpam-6292	300	29	infective	infective	ADJ
ejpam-6292	300	30	population	population	NOUN
ejpam-6292	300	31	remains	remain	VERB
ejpam-6292	300	32	higher	high	ADJ
ejpam-6292	300	33	for	for	ADP
ejpam-6292	300	34	a	a	DET
ejpam-6292	300	35	longer	long	ADJ
ejpam-6292	300	36	time	time	NOUN
ejpam-6292	300	37	before	before	ADP
ejpam-6292	300	38	gradually	gradually	ADV
ejpam-6292	300	39	declining	decline	VERB
ejpam-6292	300	40	.	.	PUNCT
ejpam-6292	301	1	the	the	DET
ejpam-6292	301	2	peak	peak	NOUN
ejpam-6292	301	3	infection	infection	NOUN
ejpam-6292	301	4	is	be	AUX
ejpam-6292	301	5	higher	high	ADJ
ejpam-6292	301	6	,	,	PUNCT
ejpam-6292	301	7	meaning	mean	VERB
ejpam-6292	301	8	more	more	ADJ
ejpam-6292	301	9	individuals	individual	NOUN
ejpam-6292	301	10	are	be	AUX
ejpam-6292	301	11	infected	infect	VERB
ejpam-6292	301	12	due	due	ADP
ejpam-6292	301	13	to	to	ADP
ejpam-6292	301	14	the	the	DET
ejpam-6292	301	15	slower	slow	ADJ
ejpam-6292	301	16	recovery	recovery	NOUN
ejpam-6292	301	17	.	.	PUNCT
ejpam-6292	302	1	•	•	NUM
ejpam-6292	302	2	for	for	ADP
ejpam-6292	302	3	γ	γ	X
ejpam-6292	302	4	=	=	SYM
ejpam-6292	302	5	0.4	0.4	NUM
ejpam-6292	302	6	(	(	PUNCT
ejpam-6292	302	7	faster	fast	ADJ
ejpam-6292	302	8	recovery	recovery	NOUN
ejpam-6292	302	9	):	):	PUNCT
ejpam-6292	302	10	the	the	DET
ejpam-6292	302	11	infective	infective	ADJ
ejpam-6292	302	12	population	population	NOUN
ejpam-6292	302	13	declines	decline	VERB
ejpam-6292	302	14	much	much	ADV
ejpam-6292	302	15	faster	fast	ADV
ejpam-6292	302	16	after	after	ADP
ejpam-6292	302	17	reaching	reach	VERB
ejpam-6292	302	18	its	its	PRON
ejpam-6292	302	19	peak	peak	NOUN
ejpam-6292	302	20	.	.	PUNCT
ejpam-6292	303	1	the	the	DET
ejpam-6292	303	2	number	number	NOUN
ejpam-6292	303	3	of	of	ADP
ejpam-6292	303	4	infections	infection	NOUN
ejpam-6292	303	5	is	be	AUX
ejpam-6292	303	6	lower	low	ADJ
ejpam-6292	303	7	,	,	PUNCT
ejpam-6292	303	8	showing	show	VERB
ejpam-6292	303	9	that	that	SCONJ
ejpam-6292	303	10	a	a	DET
ejpam-6292	303	11	higher	high	ADJ
ejpam-6292	303	12	recovery	recovery	NOUN
ejpam-6292	303	13	rate	rate	NOUN
ejpam-6292	303	14	effectively	effectively	ADV
ejpam-6292	303	15	reduces	reduce	VERB
ejpam-6292	303	16	disease	disease	NOUN
ejpam-6292	303	17	transmission	transmission	NOUN
ejpam-6292	303	18	.	.	PUNCT
ejpam-6292	304	1	right	right	ADJ
ejpam-6292	304	2	panel	panel	NOUN
ejpam-6292	304	3	(	(	PUNCT
ejpam-6292	304	4	recovered	recover	VERB
ejpam-6292	304	5	population	population	NOUN
ejpam-6292	304	6	r	r	NOUN
ejpam-6292	304	7	):	):	PUNCT
ejpam-6292	304	8	•	•	NOUN
ejpam-6292	304	9	solid	solid	ADJ
ejpam-6292	304	10	and	and	CCONJ
ejpam-6292	304	11	dashed	dash	VERB
ejpam-6292	304	12	lines	line	NOUN
ejpam-6292	304	13	r1	r1	NOUN
ejpam-6292	304	14	and	and	CCONJ
ejpam-6292	304	15	dash	dash	NOUN
ejpam-6292	304	16	-	-	PUNCT
ejpam-6292	304	17	dot	dot	NOUN
ejpam-6292	304	18	and	and	CCONJ
ejpam-6292	304	19	dotted	dotted	ADJ
ejpam-6292	304	20	lines	line	NOUN
ejpam-6292	304	21	r2	r2	PROPN
ejpam-6292	304	22	represent	represent	VERB
ejpam-6292	304	23	different	different	ADJ
ejpam-6292	304	24	fuzzy	fuzzy	ADJ
ejpam-6292	304	25	representations	representation	NOUN
ejpam-6292	304	26	of	of	ADP
ejpam-6292	304	27	the	the	DET
ejpam-6292	304	28	recovered	recovered	ADJ
ejpam-6292	304	29	population	population	NOUN
ejpam-6292	304	30	.	.	PUNCT
ejpam-6292	305	1	•	•	NUM
ejpam-6292	305	2	for	for	SCONJ
ejpam-6292	305	3	γ	γ	X
ejpam-6292	305	4	=	=	SYM
ejpam-6292	305	5	0.1	0.1	NUM
ejpam-6292	305	6	(	(	PUNCT
ejpam-6292	305	7	slow	slow	ADJ
ejpam-6292	305	8	recovery	recovery	NOUN
ejpam-6292	305	9	):	):	PUNCT
ejpam-6292	305	10	the	the	DET
ejpam-6292	305	11	recovered	recovered	ADJ
ejpam-6292	305	12	population	population	NOUN
ejpam-6292	305	13	increases	increase	VERB
ejpam-6292	305	14	gradually	gradually	ADV
ejpam-6292	305	15	,	,	PUNCT
ejpam-6292	305	16	reaching	reach	VERB
ejpam-6292	305	17	a	a	DET
ejpam-6292	305	18	lower	low	ADJ
ejpam-6292	305	19	peak	peak	NOUN
ejpam-6292	305	20	compared	compare	VERB
ejpam-6292	305	21	to	to	ADP
ejpam-6292	305	22	γ	γ	X
ejpam-6292	305	23	=	=	PROPN
ejpam-6292	305	24	0.4	0.4	NUM
ejpam-6292	305	25	.	.	PUNCT
ejpam-6292	306	1	this	this	PRON
ejpam-6292	306	2	means	mean	VERB
ejpam-6292	306	3	that	that	SCONJ
ejpam-6292	306	4	fewer	few	ADJ
ejpam-6292	306	5	individuals	individual	NOUN
ejpam-6292	306	6	recover	recover	VERB
ejpam-6292	306	7	quickly	quickly	ADV
ejpam-6292	306	8	,	,	PUNCT
ejpam-6292	306	9	prolonging	prolong	VERB
ejpam-6292	306	10	the	the	DET
ejpam-6292	306	11	epidemic	epidemic	NOUN
ejpam-6292	306	12	.	.	PUNCT
ejpam-6292	307	1	•	•	NUM
ejpam-6292	307	2	for	for	ADP
ejpam-6292	307	3	γ	γ	X
ejpam-6292	307	4	=	=	SYM
ejpam-6292	307	5	0.4	0.4	NUM
ejpam-6292	307	6	(	(	PUNCT
ejpam-6292	307	7	faster	fast	ADJ
ejpam-6292	307	8	recovery	recovery	NOUN
ejpam-6292	307	9	):	):	PUNCT
ejpam-6292	307	10	the	the	DET
ejpam-6292	307	11	recovered	recovered	ADJ
ejpam-6292	307	12	population	population	NOUN
ejpam-6292	307	13	increases	increase	VERB
ejpam-6292	307	14	more	more	ADV
ejpam-6292	307	15	rapidly	rapidly	ADV
ejpam-6292	307	16	,	,	PUNCT
ejpam-6292	307	17	reaching	reach	VERB
ejpam-6292	307	18	a	a	DET
ejpam-6292	307	19	higher	high	ADJ
ejpam-6292	307	20	peak	peak	NOUN
ejpam-6292	307	21	before	before	ADP
ejpam-6292	307	22	stabilizing	stabilize	VERB
ejpam-6292	307	23	.	.	PUNCT
ejpam-6292	308	1	this	this	PRON
ejpam-6292	308	2	indicates	indicate	VERB
ejpam-6292	308	3	that	that	SCONJ
ejpam-6292	308	4	a	a	DET
ejpam-6292	308	5	higher	high	ADJ
ejpam-6292	308	6	recovery	recovery	NOUN
ejpam-6292	308	7	rate	rate	NOUN
ejpam-6292	308	8	leads	lead	VERB
ejpam-6292	308	9	to	to	ADP
ejpam-6292	308	10	more	more	ADJ
ejpam-6292	308	11	individuals	individual	NOUN
ejpam-6292	308	12	gaining	gain	VERB
ejpam-6292	308	13	immunity	immunity	NOUN
ejpam-6292	308	14	faster	fast	ADV
ejpam-6292	308	15	,	,	PUNCT
ejpam-6292	308	16	reducing	reduce	VERB
ejpam-6292	308	17	the	the	DET
ejpam-6292	308	18	overall	overall	ADJ
ejpam-6292	308	19	spread	spread	NOUN
ejpam-6292	308	20	of	of	ADP
ejpam-6292	308	21	infection	infection	NOUN
ejpam-6292	308	22	.	.	PUNCT
ejpam-6292	309	1	figure	figure	VERB
ejpam-6292	309	2	3	3	NUM
ejpam-6292	309	3	:	:	PUNCT
ejpam-6292	309	4	effect	effect	NOUN
ejpam-6292	309	5	of	of	ADP
ejpam-6292	309	6	recovery	recovery	NOUN
ejpam-6292	309	7	rate	rate	NOUN
ejpam-6292	309	8	γ	γ	X
ejpam-6292	309	9	on	on	ADP
ejpam-6292	309	10	fuzzy	fuzzy	ADJ
ejpam-6292	309	11	infective	infective	ADJ
ejpam-6292	309	12	and	and	CCONJ
ejpam-6292	309	13	recovered	recovered	ADJ
ejpam-6292	309	14	populations	population	NOUN
ejpam-6292	309	15	for	for	ADP
ejpam-6292	309	16	γ	γ	NOUN
ejpam-6292	309	17	=	=	SYM
ejpam-6292	309	18	0.1	0.1	NUM
ejpam-6292	309	19	and	and	CCONJ
ejpam-6292	309	20	γ	γ	X
ejpam-6292	309	21	=	=	SYM
ejpam-6292	309	22	0.4	0.4	NUM
ejpam-6292	309	23	.	.	PUNCT
ejpam-6292	310	1	5.4	5.4	NUM
ejpam-6292	310	2	effect	effect	NOUN
ejpam-6292	310	3	of	of	ADP
ejpam-6292	310	4	incidence	incidence	NOUN
ejpam-6292	310	5	rate	rate	NOUN
ejpam-6292	310	6	parameter	parameter	NOUN
ejpam-6292	310	7	m	m	NOUN
ejpam-6292	310	8	on	on	ADP
ejpam-6292	310	9	fuzzy	fuzzy	ADJ
ejpam-6292	310	10	infective	infective	ADJ
ejpam-6292	310	11	population	population	NOUN
ejpam-6292	310	12	figure	figure	NOUN
ejpam-6292	310	13	4	4	NUM
ejpam-6292	310	14	investigates	investigate	VERB
ejpam-6292	310	15	the	the	DET
ejpam-6292	310	16	effect	effect	NOUN
ejpam-6292	310	17	on	on	ADP
ejpam-6292	310	18	the	the	DET
ejpam-6292	310	19	infective	infective	ADJ
ejpam-6292	310	20	population	population	NOUN
ejpam-6292	310	21	i	i	PRON
ejpam-6292	310	22	in	in	ADP
ejpam-6292	310	23	the	the	DET
ejpam-6292	310	24	fuzzy	fuzzy	ADJ
ejpam-6292	310	25	stochastic	stochastic	NOUN
ejpam-6292	310	26	sir	sir	PROPN
ejpam-6292	310	27	-	-	PUNCT
ejpam-6292	310	28	β	β	NOUN
ejpam-6292	310	29	model	model	NOUN
ejpam-6292	310	30	of	of	ADP
ejpam-6292	310	31	the	the	DET
ejpam-6292	310	32	incidence	incidence	NOUN
ejpam-6292	310	33	rate	rate	NOUN
ejpam-6292	310	34	parameter	parameter	NOUN
ejpam-6292	310	35	m.	m.	NOUN
ejpam-6292	310	36	the	the	DET
ejpam-6292	310	37	parameters	parameter	NOUN
ejpam-6292	310	38	used	use	VERB
ejpam-6292	310	39	in	in	ADP
ejpam-6292	310	40	the	the	DET
ejpam-6292	310	41	simulation	simulation	NOUN
ejpam-6292	310	42	are	be	AUX
ejpam-6292	310	43	:	:	PUNCT
ejpam-6292	310	44	d1	d1	PROPN
ejpam-6292	310	45	=	=	SYM
ejpam-6292	310	46	d2	d2	PROPN
ejpam-6292	310	47	=	=	PUNCT
ejpam-6292	310	48	d3	d3	PROPN
ejpam-6292	310	49	=	=	SYM
ejpam-6292	310	50	d4	d4	PROPN
ejpam-6292	310	51	=	=	SYM
ejpam-6292	310	52	0.1	0.1	NUM
ejpam-6292	310	53	,	,	PUNCT
ejpam-6292	310	54	θ	θ	X
ejpam-6292	310	55	=	=	SYM
ejpam-6292	310	56	0.1	0.1	NUM
ejpam-6292	310	57	,	,	PUNCT
ejpam-6292	310	58	c1	c1	NOUN
ejpam-6292	310	59	=	=	NOUN
ejpam-6292	310	60	0.1	0.1	NUM
ejpam-6292	310	61	,	,	PUNCT
ejpam-6292	310	62	α	α	NOUN
ejpam-6292	310	63	=	=	SYM
ejpam-6292	310	64	0.1	0.1	NUM
ejpam-6292	310	65	,	,	PUNCT
ejpam-6292	310	66	λ	λ	X
ejpam-6292	310	67	=	=	NOUN
ejpam-6292	310	68	0.1	0.1	NUM
ejpam-6292	310	69	,	,	PUNCT
ejpam-6292	310	70	β1	β1	PROPN
ejpam-6292	310	71	=	=	PUNCT
ejpam-6292	310	72	0.1	0.1	NUM
ejpam-6292	310	73	,	,	PUNCT
ejpam-6292	310	74	γ	γ	X
ejpam-6292	310	75	=	=	SYM
ejpam-6292	310	76	0.1	0.1	NUM
ejpam-6292	310	77	.	.	PUNCT
ejpam-6292	310	78	m.	m.	PROPN
ejpam-6292	310	79	s.	s.	PROPN
ejpam-6292	310	80	arif	arif	PROPN
ejpam-6292	310	81	,	,	PUNCT
ejpam-6292	310	82	k.	k.	PROPN
ejpam-6292	310	83	abodayeh	abodayeh	PROPN
ejpam-6292	310	84	,	,	PUNCT
ejpam-6292	310	85	y.	y.	NOUN
ejpam-6292	310	86	nawaz	nawaz	PROPN
ejpam-6292	310	87	/	/	SYM
ejpam-6292	310	88	eur	eur	PROPN
ejpam-6292	310	89	.	.	PUNCT
ejpam-6292	311	1	j.	j.	PROPN
ejpam-6292	311	2	pure	pure	PROPN
ejpam-6292	311	3	appl	appl	PROPN
ejpam-6292	311	4	.	.	PROPN
ejpam-6292	311	5	math	math	PROPN
ejpam-6292	311	6	,	,	PUNCT
ejpam-6292	311	7	18	18	NUM
ejpam-6292	311	8	(	(	PUNCT
ejpam-6292	311	9	3	3	NUM
ejpam-6292	311	10	)	)	PUNCT
ejpam-6292	311	11	(	(	PUNCT
ejpam-6292	311	12	2025	2025	NUM
ejpam-6292	311	13	)	)	PUNCT
ejpam-6292	311	14	,	,	PUNCT
ejpam-6292	311	15	6292	6292	NUM
ejpam-6292	311	16	16	16	NUM
ejpam-6292	311	17	of	of	ADP
ejpam-6292	311	18	24	24	NUM
ejpam-6292	312	1	the	the	DET
ejpam-6292	312	2	incidence	incidence	NOUN
ejpam-6292	312	3	rate	rate	NOUN
ejpam-6292	312	4	parameter	parameter	NOUN
ejpam-6292	312	5	m	m	PROPN
ejpam-6292	312	6	plays	play	VERB
ejpam-6292	312	7	a	a	DET
ejpam-6292	312	8	crucial	crucial	ADJ
ejpam-6292	312	9	role	role	NOUN
ejpam-6292	312	10	in	in	ADP
ejpam-6292	312	11	controlling	control	VERB
ejpam-6292	312	12	disease	disease	NOUN
ejpam-6292	312	13	transmission	transmission	NOUN
ejpam-6292	312	14	by	by	ADP
ejpam-6292	312	15	incorporating	incorporate	VERB
ejpam-6292	312	16	saturation	saturation	NOUN
ejpam-6292	312	17	effects	effect	NOUN
ejpam-6292	312	18	in	in	ADP
ejpam-6292	312	19	the	the	DET
ejpam-6292	312	20	infection	infection	NOUN
ejpam-6292	312	21	rate	rate	NOUN
ejpam-6292	312	22	.	.	PUNCT
ejpam-6292	313	1	the	the	DET
ejpam-6292	313	2	graph	graph	NOUN
ejpam-6292	313	3	compares	compare	VERB
ejpam-6292	313	4	two	two	NUM
ejpam-6292	313	5	values	value	NOUN
ejpam-6292	313	6	of	of	ADP
ejpam-6292	313	7	m	m	NOUN
ejpam-6292	313	8	=	=	NOUN
ejpam-6292	313	9	0.1	0.1	NUM
ejpam-6292	313	10	(	(	PUNCT
ejpam-6292	313	11	lower	low	ADJ
ejpam-6292	313	12	incidence	incidence	NOUN
ejpam-6292	313	13	effect	effect	NOUN
ejpam-6292	313	14	)	)	PUNCT
ejpam-6292	313	15	and	and	CCONJ
ejpam-6292	313	16	m	m	VERB
ejpam-6292	313	17	=	=	NOUN
ejpam-6292	313	18	0.7	0.7	NUM
ejpam-6292	313	19	(	(	PUNCT
ejpam-6292	313	20	higher	high	ADJ
ejpam-6292	313	21	incidence	incidence	NOUN
ejpam-6292	313	22	effect	effect	NOUN
ejpam-6292	313	23	)	)	PUNCT
ejpam-6292	313	24	.	.	PUNCT
ejpam-6292	314	1	two	two	NUM
ejpam-6292	314	2	fuzzy	fuzzy	ADJ
ejpam-6292	314	3	interpretations	interpretation	NOUN
ejpam-6292	314	4	of	of	ADP
ejpam-6292	314	5	the	the	DET
ejpam-6292	314	6	infective	infective	ADJ
ejpam-6292	314	7	population	population	NOUN
ejpam-6292	314	8	i1	i1	PROPN
ejpam-6292	314	9	and	and	CCONJ
ejpam-6292	314	10	i2	i2	PROPN
ejpam-6292	314	11	are	be	AUX
ejpam-6292	314	12	represented	represent	VERB
ejpam-6292	314	13	by	by	ADP
ejpam-6292	314	14	different	different	ADJ
ejpam-6292	314	15	i1	i1	PROPN
ejpam-6292	314	16	line	line	NOUN
ejpam-6292	314	17	styles	style	NOUN
ejpam-6292	314	18	.	.	PUNCT
ejpam-6292	315	1	•	•	NOUN
ejpam-6292	315	2	solid	solid	ADJ
ejpam-6292	315	3	and	and	CCONJ
ejpam-6292	315	4	dashed	dash	VERB
ejpam-6292	315	5	lines	line	NOUN
ejpam-6292	315	6	:	:	PUNCT
ejpam-6292	315	7	represent	represent	VERB
ejpam-6292	315	8	one	one	NUM
ejpam-6292	315	9	fuzzy	fuzzy	ADJ
ejpam-6292	315	10	interpretation	interpretation	NOUN
ejpam-6292	315	11	of	of	ADP
ejpam-6292	315	12	the	the	DET
ejpam-6292	315	13	infective	infective	ADJ
ejpam-6292	315	14	population	population	NOUN
ejpam-6292	315	15	.	.	PUNCT
ejpam-6292	316	1	•	•	NUM
ejpam-6292	316	2	dash	dash	NOUN
ejpam-6292	316	3	-	-	PUNCT
ejpam-6292	316	4	dot	dot	NOUN
ejpam-6292	316	5	and	and	CCONJ
ejpam-6292	316	6	dotted	dotted	ADJ
ejpam-6292	316	7	lines	line	NOUN
ejpam-6292	316	8	i2	i2	PROPN
ejpam-6292	316	9	:	:	PUNCT
ejpam-6292	316	10	represent	represent	VERB
ejpam-6292	316	11	another	another	DET
ejpam-6292	316	12	fuzzy	fuzzy	ADJ
ejpam-6292	316	13	interpretation	interpretation	NOUN
ejpam-6292	316	14	of	of	ADP
ejpam-6292	316	15	the	the	DET
ejpam-6292	316	16	infective	infective	ADJ
ejpam-6292	316	17	population	population	NOUN
ejpam-6292	316	18	.	.	PUNCT
ejpam-6292	317	1	•	•	NOUN
ejpam-6292	317	2	for	for	ADP
ejpam-6292	317	3	m	m	PROPN
ejpam-6292	317	4	=	=	NOUN
ejpam-6292	317	5	0.1	0.1	NUM
ejpam-6292	317	6	(	(	PUNCT
ejpam-6292	317	7	lower	low	ADJ
ejpam-6292	317	8	incidence	incidence	NOUN
ejpam-6292	317	9	effect	effect	NOUN
ejpam-6292	317	10	)	)	PUNCT
ejpam-6292	317	11	,	,	PUNCT
ejpam-6292	317	12	the	the	DET
ejpam-6292	317	13	peak	peak	NOUN
ejpam-6292	317	14	of	of	ADP
ejpam-6292	317	15	the	the	DET
ejpam-6292	317	16	infective	infective	ADJ
ejpam-6292	317	17	population	population	NOUN
ejpam-6292	317	18	is	be	AUX
ejpam-6292	317	19	higher	high	ADJ
ejpam-6292	317	20	,	,	PUNCT
ejpam-6292	317	21	suggesting	suggest	VERB
ejpam-6292	317	22	a	a	DET
ejpam-6292	317	23	stronger	strong	ADJ
ejpam-6292	317	24	outbreak	outbreak	NOUN
ejpam-6292	317	25	.	.	PUNCT
ejpam-6292	318	1	the	the	DET
ejpam-6292	318	2	decline	decline	NOUN
ejpam-6292	318	3	in	in	ADP
ejpam-6292	318	4	infection	infection	NOUN
ejpam-6292	318	5	is	be	AUX
ejpam-6292	318	6	more	more	ADV
ejpam-6292	318	7	gradual	gradual	ADJ
ejpam-6292	318	8	,	,	PUNCT
ejpam-6292	318	9	meaning	mean	VERB
ejpam-6292	318	10	the	the	DET
ejpam-6292	318	11	epidemic	epidemic	NOUN
ejpam-6292	318	12	lasts	last	VERB
ejpam-6292	318	13	longer	long	ADV
ejpam-6292	318	14	.	.	PUNCT
ejpam-6292	319	1	•	•	ADV
ejpam-6292	319	2	when	when	SCONJ
ejpam-6292	319	3	m	m	VERB
ejpam-6292	319	4	=	=	VERB
ejpam-6292	319	5	0.7	0.7	NUM
ejpam-6292	319	6	(	(	PUNCT
ejpam-6292	319	7	higher	high	ADJ
ejpam-6292	319	8	incidence	incidence	NOUN
ejpam-6292	319	9	effect	effect	NOUN
ejpam-6292	319	10	)	)	PUNCT
ejpam-6292	319	11	,	,	PUNCT
ejpam-6292	319	12	the	the	DET
ejpam-6292	319	13	peak	peak	NOUN
ejpam-6292	319	14	infection	infection	NOUN
ejpam-6292	319	15	level	level	NOUN
ejpam-6292	319	16	is	be	AUX
ejpam-6292	319	17	lower	low	ADJ
ejpam-6292	319	18	,	,	PUNCT
ejpam-6292	319	19	meaning	mean	VERB
ejpam-6292	319	20	that	that	SCONJ
ejpam-6292	319	21	disease	disease	NOUN
ejpam-6292	319	22	transmission	transmission	NOUN
ejpam-6292	319	23	is	be	AUX
ejpam-6292	319	24	slowed	slow	VERB
ejpam-6292	319	25	.	.	PUNCT
ejpam-6292	320	1	the	the	DET
ejpam-6292	320	2	infection	infection	NOUN
ejpam-6292	320	3	decreases	decrease	VERB
ejpam-6292	320	4	more	more	ADV
ejpam-6292	320	5	quickly	quickly	ADV
ejpam-6292	320	6	,	,	PUNCT
ejpam-6292	320	7	indicating	indicate	VERB
ejpam-6292	320	8	that	that	SCONJ
ejpam-6292	320	9	the	the	DET
ejpam-6292	320	10	epidemic	epidemic	NOUN
ejpam-6292	320	11	is	be	AUX
ejpam-6292	320	12	under	under	ADP
ejpam-6292	320	13	better	well	ADJ
ejpam-6292	320	14	control	control	NOUN
ejpam-6292	320	15	.	.	PUNCT
ejpam-6292	321	1	figure	figure	VERB
ejpam-6292	321	2	4	4	NUM
ejpam-6292	321	3	:	:	PUNCT
ejpam-6292	321	4	effect	effect	NOUN
ejpam-6292	321	5	of	of	ADP
ejpam-6292	321	6	incidence	incidence	NOUN
ejpam-6292	321	7	rate	rate	NOUN
ejpam-6292	321	8	parameter	parameter	NOUN
ejpam-6292	321	9	m	m	NOUN
ejpam-6292	321	10	on	on	ADP
ejpam-6292	321	11	fuzzy	fuzzy	ADJ
ejpam-6292	321	12	infective	infective	ADJ
ejpam-6292	321	13	population	population	NOUN
ejpam-6292	321	14	for	for	ADP
ejpam-6292	321	15	m	m	PROPN
ejpam-6292	321	16	=	=	NOUN
ejpam-6292	321	17	0.1	0.1	NUM
ejpam-6292	321	18	and	and	CCONJ
ejpam-6292	321	19	m	m	PRON
ejpam-6292	321	20	=	=	NOUN
ejpam-6292	321	21	0.7	0.7	NUM
ejpam-6292	321	22	.	.	NOUN
ejpam-6292	321	23	5.5	5.5	NUM
ejpam-6292	321	24	comparison	comparison	NOUN
ejpam-6292	321	25	of	of	ADP
ejpam-6292	321	26	proposed	propose	VERB
ejpam-6292	321	27	and	and	CCONJ
ejpam-6292	321	28	nsfd	nsfd	ADJ
ejpam-6292	321	29	methods	method	NOUN
ejpam-6292	321	30	for	for	ADP
ejpam-6292	321	31	susceptible	susceptible	ADJ
ejpam-6292	321	32	population	population	NOUN
ejpam-6292	321	33	figure	figure	NOUN
ejpam-6292	321	34	5	5	NUM
ejpam-6292	321	35	compares	compare	VERB
ejpam-6292	321	36	the	the	DET
ejpam-6292	321	37	accuracy	accuracy	NOUN
ejpam-6292	321	38	of	of	ADP
ejpam-6292	321	39	the	the	DET
ejpam-6292	321	40	proposed	propose	VERB
ejpam-6292	321	41	numerical	numerical	ADJ
ejpam-6292	321	42	scheme	scheme	NOUN
ejpam-6292	321	43	with	with	ADP
ejpam-6292	321	44	the	the	DET
ejpam-6292	321	45	existing	exist	VERB
ejpam-6292	321	46	nonstandard	nonstandard	ADJ
ejpam-6292	321	47	finite	finite	ADJ
ejpam-6292	321	48	difference	difference	NOUN
ejpam-6292	321	49	(	(	PUNCT
ejpam-6292	321	50	nsfd	nsfd	ADJ
ejpam-6292	321	51	)	)	PUNCT
ejpam-6292	321	52	method	method	NOUN
ejpam-6292	321	53	in	in	ADP
ejpam-6292	321	54	computing	compute	VERB
ejpam-6292	321	55	the	the	DET
ejpam-6292	321	56	susceptible	susceptible	ADJ
ejpam-6292	321	57	population	population	NOUN
ejpam-6292	321	58	s	s	VERB
ejpam-6292	321	59	over	over	ADP
ejpam-6292	321	60	time	time	NOUN
ejpam-6292	321	61	and	and	CCONJ
ejpam-6292	321	62	space	space	NOUN
ejpam-6292	321	63	.	.	PUNCT
ejpam-6292	322	1	the	the	DET
ejpam-6292	322	2	comparison	comparison	NOUN
ejpam-6292	322	3	is	be	AUX
ejpam-6292	322	4	visualized	visualize	VERB
ejpam-6292	322	5	by	by	ADP
ejpam-6292	322	6	plotting	plot	VERB
ejpam-6292	322	7	the	the	DET
ejpam-6292	322	8	absolute	absolute	ADJ
ejpam-6292	322	9	differences	difference	NOUN
ejpam-6292	322	10	m.	m.	NOUN
ejpam-6292	322	11	s.	s.	PROPN
ejpam-6292	322	12	arif	arif	PROPN
ejpam-6292	322	13	,	,	PUNCT
ejpam-6292	322	14	k.	k.	PROPN
ejpam-6292	322	15	abodayeh	abodayeh	PROPN
ejpam-6292	322	16	,	,	PUNCT
ejpam-6292	322	17	y.	y.	NOUN
ejpam-6292	322	18	nawaz	nawaz	PROPN
ejpam-6292	322	19	/	/	SYM
ejpam-6292	322	20	eur	eur	PROPN
ejpam-6292	322	21	.	.	PUNCT
ejpam-6292	323	1	j.	j.	PROPN
ejpam-6292	323	2	pure	pure	PROPN
ejpam-6292	323	3	appl	appl	PROPN
ejpam-6292	323	4	.	.	PROPN
ejpam-6292	323	5	math	math	PROPN
ejpam-6292	323	6	,	,	PUNCT
ejpam-6292	323	7	18	18	NUM
ejpam-6292	323	8	(	(	PUNCT
ejpam-6292	323	9	3	3	NUM
ejpam-6292	323	10	)	)	PUNCT
ejpam-6292	323	11	(	(	PUNCT
ejpam-6292	323	12	2025	2025	NUM
ejpam-6292	323	13	)	)	PUNCT
ejpam-6292	323	14	,	,	PUNCT
ejpam-6292	323	15	6292	6292	NUM
ejpam-6292	323	16	17	17	NUM
ejpam-6292	323	17	of	of	ADP
ejpam-6292	323	18	24	24	NUM
ejpam-6292	323	19	between	between	ADP
ejpam-6292	323	20	the	the	DET
ejpam-6292	323	21	numerical	numerical	ADJ
ejpam-6292	323	22	solutions	solution	NOUN
ejpam-6292	323	23	obtained	obtain	VERB
ejpam-6292	323	24	using	use	VERB
ejpam-6292	323	25	the	the	DET
ejpam-6292	323	26	nsfd	nsfd	ADJ
ejpam-6292	323	27	scheme	scheme	NOUN
ejpam-6292	323	28	vs.	vs.	ADP
ejpam-6292	323	29	matlab	matlab	PROPN
ejpam-6292	323	30	solver	solver	NOUN
ejpam-6292	323	31	pdepe	pdepe	NOUN
ejpam-6292	323	32	(	(	PUNCT
ejpam-6292	323	33	left	leave	VERB
ejpam-6292	323	34	plot	plot	NOUN
ejpam-6292	323	35	)	)	PUNCT
ejpam-6292	323	36	.	.	PUNCT
ejpam-6292	324	1	the	the	DET
ejpam-6292	324	2	parameters	parameter	NOUN
ejpam-6292	324	3	used	use	VERB
ejpam-6292	324	4	in	in	ADP
ejpam-6292	324	5	the	the	DET
ejpam-6292	324	6	simulation	simulation	NOUN
ejpam-6292	324	7	are	be	AUX
ejpam-6292	324	8	:	:	PUNCT
ejpam-6292	324	9	d1	d1	PROPN
ejpam-6292	324	10	=	=	SYM
ejpam-6292	324	11	d2	d2	PROPN
ejpam-6292	324	12	=	=	PUNCT
ejpam-6292	324	13	d3	d3	PROPN
ejpam-6292	324	14	=	=	SYM
ejpam-6292	324	15	d4	d4	PROPN
ejpam-6292	324	16	=	=	SYM
ejpam-6292	324	17	0.1	0.1	NUM
ejpam-6292	324	18	,	,	PUNCT
ejpam-6292	324	19	θ	θ	X
ejpam-6292	324	20	=	=	SYM
ejpam-6292	324	21	0.1	0.1	NUM
ejpam-6292	324	22	,	,	PUNCT
ejpam-6292	324	23	c1	c1	NOUN
ejpam-6292	324	24	=	=	NOUN
ejpam-6292	324	25	0.1	0.1	NUM
ejpam-6292	324	26	,	,	PUNCT
ejpam-6292	324	27	α	α	X
ejpam-6292	324	28	=	=	NOUN
ejpam-6292	324	29	0.3	0.3	NUM
ejpam-6292	324	30	,	,	PUNCT
ejpam-6292	324	31	m	m	VERB
ejpam-6292	324	32	=	=	NOUN
ejpam-6292	324	33	0.1	0.1	NUM
ejpam-6292	324	34	,	,	PUNCT
ejpam-6292	324	35	δ	δ	X
ejpam-6292	324	36	=	=	SYM
ejpam-6292	324	37	0.1	0.1	NUM
ejpam-6292	324	38	,	,	PUNCT
ejpam-6292	324	39	µ	µ	X
ejpam-6292	324	40	=	=	SYM
ejpam-6292	324	41	0.1	0.1	NUM
ejpam-6292	324	42	,	,	PUNCT
ejpam-6292	324	43	λ	λ	X
ejpam-6292	324	44	=	=	NOUN
ejpam-6292	324	45	0.1	0.1	NUM
ejpam-6292	324	46	,	,	PUNCT
ejpam-6292	324	47	γ	γ	X
ejpam-6292	324	48	=	=	SYM
ejpam-6292	324	49	0.1	0.1	NUM
ejpam-6292	324	50	.	.	PUNCT
ejpam-6292	325	1	the	the	DET
ejpam-6292	325	2	comparison	comparison	NOUN
ejpam-6292	325	3	is	be	AUX
ejpam-6292	325	4	visualized	visualize	VERB
ejpam-6292	325	5	by	by	ADP
ejpam-6292	325	6	plotting	plot	VERB
ejpam-6292	325	7	the	the	DET
ejpam-6292	325	8	absolute	absolute	ADJ
ejpam-6292	325	9	differences	difference	NOUN
ejpam-6292	325	10	between	between	ADP
ejpam-6292	325	11	the	the	DET
ejpam-6292	325	12	numerical	numerical	ADJ
ejpam-6292	325	13	solutions	solution	NOUN
ejpam-6292	325	14	obtained	obtain	VERB
ejpam-6292	325	15	using	use	VERB
ejpam-6292	325	16	the	the	DET
ejpam-6292	325	17	nsfd	nsfd	ADJ
ejpam-6292	325	18	scheme	scheme	NOUN
ejpam-6292	325	19	vs.	vs.	ADP
ejpam-6292	325	20	matlab	matlab	PROPN
ejpam-6292	325	21	solver	solver	NOUN
ejpam-6292	325	22	pdepe	pdepe	NOUN
ejpam-6292	325	23	(	(	PUNCT
ejpam-6292	325	24	left	leave	VERB
ejpam-6292	325	25	plot	plot	NOUN
ejpam-6292	325	26	)	)	PUNCT
ejpam-6292	325	27	.	.	PUNCT
ejpam-6292	326	1	the	the	DET
ejpam-6292	326	2	right	right	ADJ
ejpam-6292	326	3	plot	plot	NOUN
ejpam-6292	326	4	shows	show	VERB
ejpam-6292	326	5	the	the	DET
ejpam-6292	326	6	absolute	absolute	ADJ
ejpam-6292	326	7	error	error	NOUN
ejpam-6292	326	8	between	between	ADP
ejpam-6292	326	9	the	the	DET
ejpam-6292	326	10	proposed	propose	VERB
ejpam-6292	326	11	scheme	scheme	NOUN
ejpam-6292	326	12	and	and	CCONJ
ejpam-6292	326	13	the	the	DET
ejpam-6292	326	14	matlab	matlab	PROPN
ejpam-6292	326	15	solver	solver	NOUN
ejpam-6292	326	16	pdepe	pdepe	NOUN
ejpam-6292	326	17	.	.	PUNCT
ejpam-6292	327	1	the	the	DET
ejpam-6292	327	2	error	error	NOUN
ejpam-6292	327	3	is	be	AUX
ejpam-6292	327	4	analyzed	analyze	VERB
ejpam-6292	327	5	over	over	ADP
ejpam-6292	327	6	time	time	NOUN
ejpam-6292	327	7	t	t	PROPN
ejpam-6292	327	8	and	and	CCONJ
ejpam-6292	327	9	spatial	spatial	ADJ
ejpam-6292	327	10	coordinate	coordinate	NOUN
ejpam-6292	327	11	x.	x.	NOUN
ejpam-6292	327	12	•	•	ADP
ejpam-6292	327	13	left	leave	VERB
ejpam-6292	327	14	panel	panel	NOUN
ejpam-6292	327	15	(	(	PUNCT
ejpam-6292	327	16	nsfd	nsfd	ADJ
ejpam-6292	327	17	vs.	vs.	ADP
ejpam-6292	327	18	matlab	matlab	PROPN
ejpam-6292	327	19	pdepe	pdepe	PROPN
ejpam-6292	327	20	solver	solver	ADV
ejpam-6292	327	21	):	):	PUNCT
ejpam-6292	327	22	the	the	DET
ejpam-6292	327	23	absolute	absolute	ADJ
ejpam-6292	327	24	error	error	NOUN
ejpam-6292	327	25	|spdepe	|spdepe	NOUN
ejpam-6292	328	1	−	−	NOUN
ejpam-6292	329	1	snsfd|	snsfd|	NOUN
ejpam-6292	329	2	is	be	AUX
ejpam-6292	329	3	significantly	significantly	ADV
ejpam-6292	329	4	large	large	ADJ
ejpam-6292	329	5	,	,	PUNCT
ejpam-6292	329	6	with	with	ADP
ejpam-6292	329	7	values	value	NOUN
ejpam-6292	329	8	reaching	reach	VERB
ejpam-6292	329	9	close	close	ADV
ejpam-6292	329	10	to	to	PART
ejpam-6292	329	11	0.4	0.4	NUM
ejpam-6292	329	12	.	.	PUNCT
ejpam-6292	330	1	the	the	DET
ejpam-6292	330	2	error	error	NOUN
ejpam-6292	330	3	is	be	AUX
ejpam-6292	330	4	highest	high	ADJ
ejpam-6292	330	5	at	at	ADP
ejpam-6292	330	6	later	later	ADJ
ejpam-6292	330	7	time	time	NOUN
ejpam-6292	330	8	steps	step	NOUN
ejpam-6292	330	9	,	,	PUNCT
ejpam-6292	330	10	indicating	indicate	VERB
ejpam-6292	330	11	that	that	SCONJ
ejpam-6292	330	12	nsfd	nsfd	PROPN
ejpam-6292	330	13	accumulates	accumulate	VERB
ejpam-6292	330	14	numerical	numerical	ADJ
ejpam-6292	330	15	inaccuracies	inaccuracy	NOUN
ejpam-6292	330	16	over	over	ADP
ejpam-6292	330	17	time	time	NOUN
ejpam-6292	330	18	.	.	PUNCT
ejpam-6292	331	1	the	the	DET
ejpam-6292	331	2	red	red	ADJ
ejpam-6292	331	3	-	-	PUNCT
ejpam-6292	331	4	colored	color	VERB
ejpam-6292	331	5	regions	region	NOUN
ejpam-6292	331	6	at	at	ADP
ejpam-6292	331	7	the	the	DET
ejpam-6292	331	8	boundary	boundary	ADJ
ejpam-6292	331	9	suggest	suggest	VERB
ejpam-6292	331	10	that	that	SCONJ
ejpam-6292	331	11	nsfd	nsfd	ADJ
ejpam-6292	331	12	struggles	struggle	NOUN
ejpam-6292	331	13	with	with	ADP
ejpam-6292	331	14	maintaining	maintain	VERB
ejpam-6292	331	15	accuracy	accuracy	NOUN
ejpam-6292	331	16	near	near	ADP
ejpam-6292	331	17	boundary	boundary	ADJ
ejpam-6292	331	18	conditions	condition	NOUN
ejpam-6292	331	19	.	.	PUNCT
ejpam-6292	332	1	•	•	NUM
ejpam-6292	332	2	right	right	ADJ
ejpam-6292	332	3	panel	panel	NOUN
ejpam-6292	332	4	(	(	PUNCT
ejpam-6292	332	5	proposed	propose	VERB
ejpam-6292	332	6	scheme	scheme	NOUN
ejpam-6292	332	7	vs.	vs.	ADP
ejpam-6292	332	8	matlab	matlab	PROPN
ejpam-6292	332	9	pdepe	pdepe	PROPN
ejpam-6292	332	10	solver	solver	ADV
ejpam-6292	332	11	):	):	PUNCT
ejpam-6292	332	12	the	the	DET
ejpam-6292	332	13	absolute	absolute	ADJ
ejpam-6292	332	14	error	error	NOUN
ejpam-6292	332	15	|spdepe	|spdepe	NOUN
ejpam-6292	332	16	−	−	NOUN
ejpam-6292	332	17	sproposed|	sproposed|	NOUN
ejpam-6292	332	18	is	be	AUX
ejpam-6292	332	19	significantly	significantly	ADV
ejpam-6292	332	20	smaller	small	ADJ
ejpam-6292	332	21	,	,	PUNCT
ejpam-6292	332	22	remaining	remain	VERB
ejpam-6292	332	23	below	below	ADP
ejpam-6292	332	24	0.05	0.05	NUM
ejpam-6292	332	25	.	.	PUNCT
ejpam-6292	333	1	the	the	DET
ejpam-6292	333	2	error	error	NOUN
ejpam-6292	333	3	is	be	AUX
ejpam-6292	333	4	distributed	distribute	VERB
ejpam-6292	333	5	more	more	ADV
ejpam-6292	333	6	smoothly	smoothly	ADV
ejpam-6292	333	7	over	over	ADP
ejpam-6292	333	8	time	time	NOUN
ejpam-6292	333	9	and	and	CCONJ
ejpam-6292	333	10	space	space	NOUN
ejpam-6292	333	11	,	,	PUNCT
ejpam-6292	333	12	indicating	indicate	VERB
ejpam-6292	333	13	higher	high	ADJ
ejpam-6292	333	14	numerical	numerical	ADJ
ejpam-6292	333	15	stability	stability	NOUN
ejpam-6292	333	16	and	and	CCONJ
ejpam-6292	333	17	accuracy	accuracy	NOUN
ejpam-6292	333	18	.	.	PUNCT
ejpam-6292	334	1	unlike	unlike	ADP
ejpam-6292	334	2	nsfd	nsfd	NOUN
ejpam-6292	334	3	,	,	PUNCT
ejpam-6292	334	4	the	the	DET
ejpam-6292	334	5	proposed	propose	VERB
ejpam-6292	334	6	scheme	scheme	NOUN
ejpam-6292	334	7	avoids	avoid	VERB
ejpam-6292	334	8	large	large	ADJ
ejpam-6292	334	9	error	error	NOUN
ejpam-6292	334	10	spikes	spike	NOUN
ejpam-6292	334	11	and	and	CCONJ
ejpam-6292	334	12	remains	remain	VERB
ejpam-6292	334	13	more	more	ADV
ejpam-6292	334	14	consistent	consistent	ADJ
ejpam-6292	334	15	throughout	throughout	ADP
ejpam-6292	334	16	the	the	DET
ejpam-6292	334	17	simulation	simulation	NOUN
ejpam-6292	334	18	.	.	PUNCT
ejpam-6292	335	1	figure	figure	NOUN
ejpam-6292	335	2	5	5	NUM
ejpam-6292	335	3	:	:	PUNCT
ejpam-6292	335	4	comparison	comparison	NOUN
ejpam-6292	335	5	of	of	ADP
ejpam-6292	335	6	nsfd	nsfd	NOUN
ejpam-6292	335	7	and	and	CCONJ
ejpam-6292	335	8	proposed	propose	VERB
ejpam-6292	335	9	scheme	scheme	NOUN
ejpam-6292	335	10	with	with	ADP
ejpam-6292	335	11	matlab	matlab	PROPN
ejpam-6292	335	12	pdepe	pdepe	PROPN
ejpam-6292	335	13	solver	solver	PROPN
ejpam-6292	335	14	for	for	ADP
ejpam-6292	335	15	susceptible	susceptible	ADJ
ejpam-6292	335	16	population	population	NOUN
ejpam-6292	335	17	s.	s.	PROPN
ejpam-6292	335	18	5.6	5.6	NUM
ejpam-6292	335	19	comparison	comparison	NOUN
ejpam-6292	335	20	of	of	ADP
ejpam-6292	335	21	proposed	propose	VERB
ejpam-6292	335	22	and	and	CCONJ
ejpam-6292	335	23	nsfd	nsfd	ADJ
ejpam-6292	335	24	methods	method	NOUN
ejpam-6292	335	25	for	for	ADP
ejpam-6292	335	26	infected	infected	ADJ
ejpam-6292	335	27	population	population	NOUN
ejpam-6292	335	28	figure	figure	NOUN
ejpam-6292	335	29	6	6	NUM
ejpam-6292	335	30	compares	compare	VERB
ejpam-6292	335	31	the	the	DET
ejpam-6292	335	32	accuracy	accuracy	NOUN
ejpam-6292	335	33	of	of	ADP
ejpam-6292	335	34	the	the	DET
ejpam-6292	335	35	proposed	propose	VERB
ejpam-6292	335	36	numerical	numerical	ADJ
ejpam-6292	335	37	scheme	scheme	NOUN
ejpam-6292	335	38	with	with	ADP
ejpam-6292	335	39	the	the	DET
ejpam-6292	335	40	existing	exist	VERB
ejpam-6292	335	41	nonstandard	nonstandard	ADJ
ejpam-6292	335	42	finite	finite	ADJ
ejpam-6292	335	43	difference	difference	NOUN
ejpam-6292	335	44	(	(	PUNCT
ejpam-6292	335	45	nsfd	nsfd	ADJ
ejpam-6292	335	46	)	)	PUNCT
ejpam-6292	335	47	method	method	NOUN
ejpam-6292	335	48	in	in	ADP
ejpam-6292	335	49	computing	compute	VERB
ejpam-6292	335	50	the	the	DET
ejpam-6292	335	51	infected	infected	ADJ
ejpam-6292	335	52	population	population	NOUN
ejpam-6292	335	53	i	i	PRON
ejpam-6292	335	54	over	over	ADP
ejpam-6292	335	55	m.	m.	PROPN
ejpam-6292	335	56	s.	s.	PROPN
ejpam-6292	335	57	arif	arif	PROPN
ejpam-6292	335	58	,	,	PUNCT
ejpam-6292	335	59	k.	k.	PROPN
ejpam-6292	335	60	abodayeh	abodayeh	PROPN
ejpam-6292	335	61	,	,	PUNCT
ejpam-6292	335	62	y.	y.	NOUN
ejpam-6292	335	63	nawaz	nawaz	PROPN
ejpam-6292	335	64	/	/	SYM
ejpam-6292	335	65	eur	eur	PROPN
ejpam-6292	335	66	.	.	PUNCT
ejpam-6292	336	1	j.	j.	PROPN
ejpam-6292	336	2	pure	pure	PROPN
ejpam-6292	336	3	appl	appl	PROPN
ejpam-6292	336	4	.	.	PROPN
ejpam-6292	336	5	math	math	PROPN
ejpam-6292	336	6	,	,	PUNCT
ejpam-6292	336	7	18	18	NUM
ejpam-6292	336	8	(	(	PUNCT
ejpam-6292	336	9	3	3	NUM
ejpam-6292	336	10	)	)	PUNCT
ejpam-6292	336	11	(	(	PUNCT
ejpam-6292	336	12	2025	2025	NUM
ejpam-6292	336	13	)	)	PUNCT
ejpam-6292	336	14	,	,	PUNCT
ejpam-6292	336	15	6292	6292	NUM
ejpam-6292	336	16	18	18	NUM
ejpam-6292	336	17	of	of	ADP
ejpam-6292	336	18	24	24	NUM
ejpam-6292	336	19	time	time	NOUN
ejpam-6292	336	20	and	and	CCONJ
ejpam-6292	336	21	space	space	NOUN
ejpam-6292	336	22	.	.	PUNCT
ejpam-6292	337	1	the	the	DET
ejpam-6292	337	2	parameters	parameter	NOUN
ejpam-6292	337	3	used	use	VERB
ejpam-6292	337	4	in	in	ADP
ejpam-6292	337	5	the	the	DET
ejpam-6292	337	6	simulation	simulation	NOUN
ejpam-6292	337	7	are	be	AUX
ejpam-6292	337	8	:	:	PUNCT
ejpam-6292	337	9	d1	d1	PROPN
ejpam-6292	337	10	=	=	SYM
ejpam-6292	337	11	d2	d2	PROPN
ejpam-6292	337	12	=	=	PUNCT
ejpam-6292	337	13	d3	d3	PROPN
ejpam-6292	337	14	=	=	SYM
ejpam-6292	337	15	d4	d4	PROPN
ejpam-6292	337	16	=	=	SYM
ejpam-6292	337	17	0.1	0.1	NUM
ejpam-6292	337	18	,	,	PUNCT
ejpam-6292	337	19	θ	θ	X
ejpam-6292	337	20	=	=	SYM
ejpam-6292	337	21	0.1	0.1	NUM
ejpam-6292	337	22	,	,	PUNCT
ejpam-6292	337	23	c1	c1	NOUN
ejpam-6292	337	24	=	=	NOUN
ejpam-6292	337	25	0.1	0.1	NUM
ejpam-6292	337	26	,	,	PUNCT
ejpam-6292	337	27	α	α	X
ejpam-6292	337	28	=	=	NOUN
ejpam-6292	337	29	0.3	0.3	NUM
ejpam-6292	337	30	,	,	PUNCT
ejpam-6292	337	31	m	m	VERB
ejpam-6292	337	32	=	=	NOUN
ejpam-6292	337	33	0.1	0.1	NUM
ejpam-6292	337	34	,	,	PUNCT
ejpam-6292	337	35	δ	δ	X
ejpam-6292	337	36	=	=	SYM
ejpam-6292	337	37	0.1	0.1	NUM
ejpam-6292	337	38	,	,	PUNCT
ejpam-6292	337	39	µ	µ	X
ejpam-6292	337	40	=	=	SYM
ejpam-6292	337	41	0.1	0.1	NUM
ejpam-6292	337	42	,	,	PUNCT
ejpam-6292	337	43	λ	λ	X
ejpam-6292	337	44	=	=	NOUN
ejpam-6292	337	45	0.1	0.1	NUM
ejpam-6292	337	46	,	,	PUNCT
ejpam-6292	337	47	γ	γ	X
ejpam-6292	337	48	=	=	SYM
ejpam-6292	337	49	0.1	0.1	NUM
ejpam-6292	337	50	.	.	PUNCT
ejpam-6292	338	1	the	the	DET
ejpam-6292	338	2	comparison	comparison	NOUN
ejpam-6292	338	3	is	be	AUX
ejpam-6292	338	4	visualized	visualize	VERB
ejpam-6292	338	5	by	by	ADP
ejpam-6292	338	6	plotting	plot	VERB
ejpam-6292	338	7	the	the	DET
ejpam-6292	338	8	absolute	absolute	ADJ
ejpam-6292	338	9	differences	difference	NOUN
ejpam-6292	338	10	between	between	ADP
ejpam-6292	338	11	the	the	DET
ejpam-6292	338	12	numerical	numerical	ADJ
ejpam-6292	338	13	solutions	solution	NOUN
ejpam-6292	338	14	obtained	obtain	VERB
ejpam-6292	338	15	using	use	VERB
ejpam-6292	338	16	the	the	DET
ejpam-6292	338	17	nsfd	nsfd	ADJ
ejpam-6292	338	18	scheme	scheme	NOUN
ejpam-6292	338	19	vs.	vs.	ADP
ejpam-6292	338	20	matlab	matlab	PROPN
ejpam-6292	338	21	solver	solver	NOUN
ejpam-6292	338	22	pdepe	pdepe	NOUN
ejpam-6292	338	23	(	(	PUNCT
ejpam-6292	338	24	left	leave	VERB
ejpam-6292	338	25	plot	plot	NOUN
ejpam-6292	338	26	)	)	PUNCT
ejpam-6292	338	27	.	.	PUNCT
ejpam-6292	339	1	the	the	DET
ejpam-6292	339	2	right	right	ADJ
ejpam-6292	339	3	plot	plot	NOUN
ejpam-6292	339	4	shows	show	VERB
ejpam-6292	339	5	the	the	DET
ejpam-6292	339	6	absolute	absolute	ADJ
ejpam-6292	339	7	error	error	NOUN
ejpam-6292	339	8	between	between	ADP
ejpam-6292	339	9	the	the	DET
ejpam-6292	339	10	proposed	propose	VERB
ejpam-6292	339	11	scheme	scheme	NOUN
ejpam-6292	339	12	and	and	CCONJ
ejpam-6292	339	13	the	the	DET
ejpam-6292	339	14	matlab	matlab	PROPN
ejpam-6292	339	15	solver	solver	NOUN
ejpam-6292	339	16	pdepe	pdepe	NOUN
ejpam-6292	339	17	.	.	PUNCT
ejpam-6292	340	1	the	the	DET
ejpam-6292	340	2	absolute	absolute	ADJ
ejpam-6292	340	3	error	error	NOUN
ejpam-6292	340	4	is	be	AUX
ejpam-6292	340	5	analyzed	analyze	VERB
ejpam-6292	340	6	over	over	ADP
ejpam-6292	340	7	time	time	NOUN
ejpam-6292	340	8	t	t	PROPN
ejpam-6292	340	9	and	and	CCONJ
ejpam-6292	340	10	spatial	spatial	ADJ
ejpam-6292	340	11	coordinate	coordinate	NOUN
ejpam-6292	340	12	x.	x.	NOUN
ejpam-6292	340	13	•	•	ADP
ejpam-6292	340	14	left	leave	VERB
ejpam-6292	340	15	panel	panel	NOUN
ejpam-6292	340	16	(	(	PUNCT
ejpam-6292	340	17	nsfd	nsfd	ADJ
ejpam-6292	340	18	vs.	vs.	ADP
ejpam-6292	340	19	matlab	matlab	PROPN
ejpam-6292	340	20	pdepe	pdepe	PROPN
ejpam-6292	340	21	solver	solver	ADV
ejpam-6292	340	22	):	):	PUNCT
ejpam-6292	340	23	the	the	DET
ejpam-6292	340	24	absolute	absolute	ADJ
ejpam-6292	340	25	error	error	NOUN
ejpam-6292	340	26	|ipdepe	|ipdepe	NOUN
ejpam-6292	340	27	−	−	PROPN
ejpam-6292	340	28	insfd|	insfd|	NOUN
ejpam-6292	340	29	is	be	AUX
ejpam-6292	340	30	significantly	significantly	ADV
ejpam-6292	340	31	large	large	ADJ
ejpam-6292	340	32	,	,	PUNCT
ejpam-6292	340	33	reaching	reach	VERB
ejpam-6292	340	34	values	value	NOUN
ejpam-6292	340	35	close	close	ADJ
ejpam-6292	340	36	to	to	ADP
ejpam-6292	340	37	0.8	0.8	NUM
ejpam-6292	340	38	.	.	PUNCT
ejpam-6292	341	1	the	the	DET
ejpam-6292	341	2	error	error	NOUN
ejpam-6292	341	3	is	be	AUX
ejpam-6292	341	4	highest	high	ADJ
ejpam-6292	341	5	at	at	ADP
ejpam-6292	341	6	later	later	ADJ
ejpam-6292	341	7	time	time	NOUN
ejpam-6292	341	8	steps	step	NOUN
ejpam-6292	341	9	,	,	PUNCT
ejpam-6292	341	10	showing	show	VERB
ejpam-6292	341	11	that	that	SCONJ
ejpam-6292	341	12	nsfd	nsfd	NOUN
ejpam-6292	341	13	accumulates	accumulate	VERB
ejpam-6292	341	14	large	large	ADJ
ejpam-6292	341	15	numerical	numerical	ADJ
ejpam-6292	341	16	inaccuracies	inaccuracy	NOUN
ejpam-6292	341	17	over	over	ADP
ejpam-6292	341	18	time	time	NOUN
ejpam-6292	341	19	.	.	PUNCT
ejpam-6292	342	1	the	the	DET
ejpam-6292	342	2	red	red	ADJ
ejpam-6292	342	3	-	-	PUNCT
ejpam-6292	342	4	colored	colored	ADJ
ejpam-6292	342	5	region	region	NOUN
ejpam-6292	342	6	dominates	dominate	VERB
ejpam-6292	342	7	the	the	DET
ejpam-6292	342	8	plot	plot	NOUN
ejpam-6292	342	9	,	,	PUNCT
ejpam-6292	342	10	indicating	indicate	VERB
ejpam-6292	342	11	that	that	SCONJ
ejpam-6292	342	12	nsfd	nsfd	PROPN
ejpam-6292	342	13	fails	fail	VERB
ejpam-6292	342	14	to	to	PART
ejpam-6292	342	15	approximate	approximate	VERB
ejpam-6292	342	16	the	the	DET
ejpam-6292	342	17	infected	infected	ADJ
ejpam-6292	342	18	population	population	NOUN
ejpam-6292	342	19	accurately	accurately	ADV
ejpam-6292	342	20	.	.	PUNCT
ejpam-6292	343	1	this	this	PRON
ejpam-6292	343	2	suggests	suggest	VERB
ejpam-6292	343	3	that	that	SCONJ
ejpam-6292	343	4	the	the	DET
ejpam-6292	343	5	nsfd	nsfd	PROPN
ejpam-6292	343	6	method	method	NOUN
ejpam-6292	343	7	lacks	lack	VERB
ejpam-6292	343	8	numerical	numerical	ADJ
ejpam-6292	343	9	stability	stability	NOUN
ejpam-6292	343	10	when	when	SCONJ
ejpam-6292	343	11	modeling	model	VERB
ejpam-6292	343	12	the	the	DET
ejpam-6292	343	13	spread	spread	NOUN
ejpam-6292	343	14	of	of	ADP
ejpam-6292	343	15	infections	infection	NOUN
ejpam-6292	343	16	.	.	PUNCT
ejpam-6292	344	1	•	•	NUM
ejpam-6292	344	2	right	right	ADJ
ejpam-6292	344	3	panel	panel	NOUN
ejpam-6292	344	4	(	(	PUNCT
ejpam-6292	344	5	proposed	propose	VERB
ejpam-6292	344	6	scheme	scheme	NOUN
ejpam-6292	344	7	vs.	vs.	ADP
ejpam-6292	344	8	matlab	matlab	PROPN
ejpam-6292	344	9	pdepe	pdepe	PROPN
ejpam-6292	344	10	solver	solver	ADV
ejpam-6292	344	11	):	):	PUNCT
ejpam-6292	344	12	the	the	DET
ejpam-6292	344	13	absolute	absolute	ADJ
ejpam-6292	344	14	error	error	NOUN
ejpam-6292	344	15	|ipdepe−iproposed|	|ipdepe−iproposed|	NOUN
ejpam-6292	344	16	is	be	AUX
ejpam-6292	344	17	significantly	significantly	ADV
ejpam-6292	344	18	smaller	small	ADJ
ejpam-6292	344	19	,	,	PUNCT
ejpam-6292	344	20	staying	stay	VERB
ejpam-6292	344	21	below	below	ADP
ejpam-6292	344	22	0.05	0.05	NUM
ejpam-6292	344	23	.	.	PUNCT
ejpam-6292	345	1	the	the	DET
ejpam-6292	345	2	error	error	NOUN
ejpam-6292	345	3	remains	remains	AUX
ejpam-6292	345	4	smoothly	smoothly	ADV
ejpam-6292	345	5	distributed	distribute	VERB
ejpam-6292	345	6	over	over	ADP
ejpam-6292	345	7	space	space	NOUN
ejpam-6292	345	8	and	and	CCONJ
ejpam-6292	345	9	time	time	NOUN
ejpam-6292	345	10	,	,	PUNCT
ejpam-6292	345	11	demonstrating	demonstrate	VERB
ejpam-6292	345	12	higher	high	ADJ
ejpam-6292	345	13	numerical	numerical	ADJ
ejpam-6292	345	14	stability	stability	NOUN
ejpam-6292	345	15	and	and	CCONJ
ejpam-6292	345	16	accuracy	accuracy	NOUN
ejpam-6292	345	17	.	.	PUNCT
ejpam-6292	346	1	unlike	unlike	ADP
ejpam-6292	346	2	the	the	DET
ejpam-6292	346	3	nsfd	nsfd	PROPN
ejpam-6292	346	4	method	method	NOUN
ejpam-6292	346	5	,	,	PUNCT
ejpam-6292	346	6	the	the	DET
ejpam-6292	346	7	proposed	propose	VERB
ejpam-6292	346	8	scheme	scheme	NOUN
ejpam-6292	346	9	does	do	AUX
ejpam-6292	346	10	not	not	PART
ejpam-6292	346	11	accumulate	accumulate	VERB
ejpam-6292	346	12	large	large	ADJ
ejpam-6292	346	13	errors	error	NOUN
ejpam-6292	346	14	over	over	ADP
ejpam-6292	346	15	time	time	NOUN
ejpam-6292	346	16	,	,	PUNCT
ejpam-6292	346	17	making	make	VERB
ejpam-6292	346	18	it	it	PRON
ejpam-6292	346	19	more	more	ADV
ejpam-6292	346	20	reliable	reliable	ADJ
ejpam-6292	346	21	for	for	ADP
ejpam-6292	346	22	long	long	ADJ
ejpam-6292	346	23	-	-	PUNCT
ejpam-6292	346	24	term	term	NOUN
ejpam-6292	346	25	simulations	simulation	NOUN
ejpam-6292	346	26	.	.	PUNCT
ejpam-6292	347	1	figure	figure	VERB
ejpam-6292	347	2	6	6	NUM
ejpam-6292	347	3	:	:	PUNCT
ejpam-6292	347	4	comparison	comparison	NOUN
ejpam-6292	347	5	of	of	ADP
ejpam-6292	347	6	nsfd	nsfd	NOUN
ejpam-6292	347	7	and	and	CCONJ
ejpam-6292	347	8	proposed	propose	VERB
ejpam-6292	347	9	scheme	scheme	NOUN
ejpam-6292	347	10	with	with	ADP
ejpam-6292	347	11	matlab	matlab	PROPN
ejpam-6292	347	12	pdepe	pdepe	PROPN
ejpam-6292	347	13	solver	solver	VERB
ejpam-6292	347	14	for	for	ADP
ejpam-6292	347	15	infected	infected	ADJ
ejpam-6292	347	16	population	population	NOUN
ejpam-6292	347	17	i.	i.	PROPN
ejpam-6292	347	18	5.7	5.7	NUM
ejpam-6292	347	19	comparison	comparison	NOUN
ejpam-6292	347	20	of	of	ADP
ejpam-6292	347	21	proposed	propose	VERB
ejpam-6292	347	22	and	and	CCONJ
ejpam-6292	347	23	nsfd	nsfd	ADJ
ejpam-6292	347	24	methods	method	NOUN
ejpam-6292	347	25	for	for	ADP
ejpam-6292	347	26	recovered	recovered	ADJ
ejpam-6292	347	27	population	population	NOUN
ejpam-6292	347	28	figure	figure	NOUN
ejpam-6292	347	29	7	7	NUM
ejpam-6292	347	30	compares	compare	VERB
ejpam-6292	347	31	the	the	DET
ejpam-6292	347	32	accuracy	accuracy	NOUN
ejpam-6292	347	33	of	of	ADP
ejpam-6292	347	34	the	the	DET
ejpam-6292	347	35	proposed	propose	VERB
ejpam-6292	347	36	numerical	numerical	ADJ
ejpam-6292	347	37	scheme	scheme	NOUN
ejpam-6292	347	38	with	with	ADP
ejpam-6292	347	39	the	the	DET
ejpam-6292	347	40	existing	exist	VERB
ejpam-6292	347	41	nonstandard	nonstandard	ADJ
ejpam-6292	347	42	finite	finite	ADJ
ejpam-6292	347	43	difference	difference	NOUN
ejpam-6292	347	44	(	(	PUNCT
ejpam-6292	347	45	nsfd	nsfd	ADJ
ejpam-6292	347	46	)	)	PUNCT
ejpam-6292	347	47	method	method	NOUN
ejpam-6292	347	48	in	in	ADP
ejpam-6292	347	49	computing	compute	VERB
ejpam-6292	347	50	the	the	DET
ejpam-6292	347	51	recovered	recover	VERB
ejpam-6292	347	52	population	population	NOUN
ejpam-6292	347	53	r	r	NOUN
ejpam-6292	347	54	m.	m.	NOUN
ejpam-6292	347	55	s.	s.	PROPN
ejpam-6292	347	56	arif	arif	PROPN
ejpam-6292	347	57	,	,	PUNCT
ejpam-6292	347	58	k.	k.	PROPN
ejpam-6292	347	59	abodayeh	abodayeh	PROPN
ejpam-6292	347	60	,	,	PUNCT
ejpam-6292	347	61	y.	y.	NOUN
ejpam-6292	347	62	nawaz	nawaz	PROPN
ejpam-6292	347	63	/	/	SYM
ejpam-6292	347	64	eur	eur	PROPN
ejpam-6292	347	65	.	.	PUNCT
ejpam-6292	348	1	j.	j.	PROPN
ejpam-6292	348	2	pure	pure	PROPN
ejpam-6292	348	3	appl	appl	PROPN
ejpam-6292	348	4	.	.	PROPN
ejpam-6292	348	5	math	math	PROPN
ejpam-6292	348	6	,	,	PUNCT
ejpam-6292	348	7	18	18	NUM
ejpam-6292	348	8	(	(	PUNCT
ejpam-6292	348	9	3	3	NUM
ejpam-6292	348	10	)	)	PUNCT
ejpam-6292	348	11	(	(	PUNCT
ejpam-6292	348	12	2025	2025	NUM
ejpam-6292	348	13	)	)	PUNCT
ejpam-6292	348	14	,	,	PUNCT
ejpam-6292	348	15	6292	6292	NUM
ejpam-6292	348	16	19	19	NUM
ejpam-6292	348	17	of	of	ADP
ejpam-6292	348	18	24	24	NUM
ejpam-6292	348	19	over	over	ADP
ejpam-6292	348	20	time	time	NOUN
ejpam-6292	348	21	and	and	CCONJ
ejpam-6292	348	22	space	space	NOUN
ejpam-6292	348	23	.	.	PUNCT
ejpam-6292	349	1	the	the	DET
ejpam-6292	349	2	parameters	parameter	NOUN
ejpam-6292	349	3	used	use	VERB
ejpam-6292	349	4	in	in	ADP
ejpam-6292	349	5	the	the	DET
ejpam-6292	349	6	simulation	simulation	NOUN
ejpam-6292	349	7	are	be	AUX
ejpam-6292	349	8	:	:	PUNCT
ejpam-6292	349	9	d1	d1	PROPN
ejpam-6292	349	10	=	=	SYM
ejpam-6292	349	11	d2	d2	PROPN
ejpam-6292	349	12	=	=	PUNCT
ejpam-6292	349	13	d3	d3	PROPN
ejpam-6292	349	14	=	=	SYM
ejpam-6292	349	15	d4	d4	PROPN
ejpam-6292	349	16	=	=	SYM
ejpam-6292	349	17	0.1	0.1	NUM
ejpam-6292	349	18	,	,	PUNCT
ejpam-6292	349	19	θ	θ	X
ejpam-6292	349	20	=	=	SYM
ejpam-6292	349	21	0.1	0.1	NUM
ejpam-6292	349	22	,	,	PUNCT
ejpam-6292	349	23	c1	c1	NOUN
ejpam-6292	349	24	=	=	NOUN
ejpam-6292	349	25	0.1	0.1	NUM
ejpam-6292	349	26	,	,	PUNCT
ejpam-6292	349	27	α	α	X
ejpam-6292	349	28	=	=	NOUN
ejpam-6292	349	29	0.3	0.3	NUM
ejpam-6292	349	30	,	,	PUNCT
ejpam-6292	349	31	m	m	VERB
ejpam-6292	349	32	=	=	NOUN
ejpam-6292	349	33	0.1	0.1	NUM
ejpam-6292	349	34	,	,	PUNCT
ejpam-6292	349	35	δ	δ	X
ejpam-6292	349	36	=	=	SYM
ejpam-6292	349	37	0.1	0.1	NUM
ejpam-6292	349	38	,	,	PUNCT
ejpam-6292	349	39	µ	µ	X
ejpam-6292	349	40	=	=	SYM
ejpam-6292	349	41	0.1	0.1	NUM
ejpam-6292	349	42	,	,	PUNCT
ejpam-6292	349	43	λ	λ	X
ejpam-6292	349	44	=	=	NOUN
ejpam-6292	349	45	0.1	0.1	NUM
ejpam-6292	349	46	,	,	PUNCT
ejpam-6292	349	47	γ	γ	X
ejpam-6292	349	48	=	=	SYM
ejpam-6292	349	49	0.1	0.1	NUM
ejpam-6292	349	50	.	.	PUNCT
ejpam-6292	350	1	the	the	DET
ejpam-6292	350	2	comparison	comparison	NOUN
ejpam-6292	350	3	is	be	AUX
ejpam-6292	350	4	visualized	visualize	VERB
ejpam-6292	350	5	by	by	ADP
ejpam-6292	350	6	plotting	plot	VERB
ejpam-6292	350	7	the	the	DET
ejpam-6292	350	8	absolute	absolute	ADJ
ejpam-6292	350	9	differences	difference	NOUN
ejpam-6292	350	10	between	between	ADP
ejpam-6292	350	11	the	the	DET
ejpam-6292	350	12	numerical	numerical	ADJ
ejpam-6292	350	13	solutions	solution	NOUN
ejpam-6292	350	14	obtained	obtain	VERB
ejpam-6292	350	15	using	use	VERB
ejpam-6292	350	16	the	the	DET
ejpam-6292	350	17	nsfd	nsfd	ADJ
ejpam-6292	350	18	scheme	scheme	NOUN
ejpam-6292	350	19	vs.	vs.	ADP
ejpam-6292	350	20	matlab	matlab	PROPN
ejpam-6292	350	21	solver	solver	NOUN
ejpam-6292	350	22	pdepe	pdepe	NOUN
ejpam-6292	350	23	(	(	PUNCT
ejpam-6292	350	24	left	leave	VERB
ejpam-6292	350	25	plot	plot	NOUN
ejpam-6292	350	26	)	)	PUNCT
ejpam-6292	350	27	.	.	PUNCT
ejpam-6292	351	1	the	the	DET
ejpam-6292	351	2	right	right	ADJ
ejpam-6292	351	3	plot	plot	NOUN
ejpam-6292	351	4	shows	show	VERB
ejpam-6292	351	5	the	the	DET
ejpam-6292	351	6	absolute	absolute	ADJ
ejpam-6292	351	7	error	error	NOUN
ejpam-6292	351	8	between	between	ADP
ejpam-6292	351	9	the	the	DET
ejpam-6292	351	10	proposed	propose	VERB
ejpam-6292	351	11	scheme	scheme	NOUN
ejpam-6292	351	12	and	and	CCONJ
ejpam-6292	351	13	the	the	DET
ejpam-6292	351	14	matlab	matlab	PROPN
ejpam-6292	351	15	solver	solver	NOUN
ejpam-6292	351	16	pdepe	pdepe	NOUN
ejpam-6292	351	17	.	.	PUNCT
ejpam-6292	352	1	the	the	DET
ejpam-6292	352	2	absolute	absolute	ADJ
ejpam-6292	352	3	error	error	NOUN
ejpam-6292	352	4	is	be	AUX
ejpam-6292	352	5	analyzed	analyze	VERB
ejpam-6292	352	6	over	over	ADP
ejpam-6292	352	7	time	time	NOUN
ejpam-6292	352	8	t	t	PROPN
ejpam-6292	352	9	and	and	CCONJ
ejpam-6292	352	10	spatial	spatial	ADJ
ejpam-6292	352	11	coordinate	coordinate	NOUN
ejpam-6292	352	12	x.	x.	NOUN
ejpam-6292	352	13	•	•	ADP
ejpam-6292	352	14	left	leave	VERB
ejpam-6292	352	15	panel	panel	NOUN
ejpam-6292	352	16	(	(	PUNCT
ejpam-6292	352	17	nsfd	nsfd	ADJ
ejpam-6292	352	18	vs.	vs.	ADP
ejpam-6292	352	19	matlab	matlab	PROPN
ejpam-6292	352	20	pdepe	pdepe	PROPN
ejpam-6292	352	21	solver	solver	ADV
ejpam-6292	352	22	):	):	PUNCT
ejpam-6292	352	23	the	the	DET
ejpam-6292	352	24	absolute	absolute	ADJ
ejpam-6292	352	25	error	error	NOUN
ejpam-6292	352	26	|rpdepe	|rpdepe	NOUN
ejpam-6292	352	27	−	−	PROPN
ejpam-6292	352	28	rnsfd|	rnsfd|	NOUN
ejpam-6292	352	29	is	be	AUX
ejpam-6292	352	30	significantly	significantly	ADV
ejpam-6292	352	31	large	large	ADJ
ejpam-6292	352	32	,	,	PUNCT
ejpam-6292	352	33	reaching	reach	VERB
ejpam-6292	352	34	values	value	NOUN
ejpam-6292	352	35	close	close	ADJ
ejpam-6292	352	36	to	to	ADP
ejpam-6292	352	37	0.5	0.5	NUM
ejpam-6292	352	38	.	.	PUNCT
ejpam-6292	353	1	the	the	DET
ejpam-6292	353	2	error	error	NOUN
ejpam-6292	353	3	accumulates	accumulate	VERB
ejpam-6292	353	4	over	over	ADP
ejpam-6292	353	5	time	time	NOUN
ejpam-6292	353	6	,	,	PUNCT
ejpam-6292	353	7	indicating	indicate	VERB
ejpam-6292	353	8	that	that	SCONJ
ejpam-6292	353	9	nsfd	nsfd	PROPN
ejpam-6292	353	10	struggles	struggle	VERB
ejpam-6292	353	11	to	to	PART
ejpam-6292	353	12	track	track	VERB
ejpam-6292	353	13	the	the	DET
ejpam-6292	353	14	recovered	recover	VERB
ejpam-6292	353	15	population	population	NOUN
ejpam-6292	353	16	dynamics	dynamic	NOUN
ejpam-6292	353	17	accurately	accurately	ADV
ejpam-6292	353	18	.	.	PUNCT
ejpam-6292	354	1	the	the	DET
ejpam-6292	354	2	red	red	ADJ
ejpam-6292	354	3	-	-	PUNCT
ejpam-6292	354	4	colored	colored	ADJ
ejpam-6292	354	5	region	region	NOUN
ejpam-6292	354	6	at	at	ADP
ejpam-6292	354	7	the	the	DET
ejpam-6292	354	8	top	top	NOUN
ejpam-6292	354	9	suggests	suggest	VERB
ejpam-6292	354	10	that	that	SCONJ
ejpam-6292	354	11	nsfd	nsfd	PROPN
ejpam-6292	354	12	introduces	introduce	VERB
ejpam-6292	354	13	major	major	ADJ
ejpam-6292	354	14	inaccuracies	inaccuracy	NOUN
ejpam-6292	354	15	as	as	ADP
ejpam-6292	354	16	time	time	NOUN
ejpam-6292	354	17	progresses	progress	NOUN
ejpam-6292	354	18	,	,	PUNCT
ejpam-6292	354	19	making	make	VERB
ejpam-6292	354	20	long	long	ADJ
ejpam-6292	354	21	-	-	PUNCT
ejpam-6292	354	22	term	term	NOUN
ejpam-6292	354	23	simulations	simulation	NOUN
ejpam-6292	354	24	unreliable	unreliable	ADJ
ejpam-6292	354	25	.	.	PUNCT
ejpam-6292	355	1	•	•	NUM
ejpam-6292	355	2	right	right	ADJ
ejpam-6292	355	3	panel	panel	NOUN
ejpam-6292	355	4	(	(	PUNCT
ejpam-6292	355	5	proposed	propose	VERB
ejpam-6292	355	6	scheme	scheme	NOUN
ejpam-6292	355	7	vs.	vs.	ADP
ejpam-6292	355	8	matlab	matlab	PROPN
ejpam-6292	355	9	pdepe	pdepe	PROPN
ejpam-6292	355	10	solver	solver	ADV
ejpam-6292	355	11	):	):	PUNCT
ejpam-6292	355	12	the	the	DET
ejpam-6292	355	13	absolute	absolute	ADJ
ejpam-6292	355	14	error	error	NOUN
ejpam-6292	355	15	|rpdepe−rproposed|	|rpdepe−rproposed|	NOUN
ejpam-6292	355	16	is	be	AUX
ejpam-6292	355	17	significantly	significantly	ADV
ejpam-6292	355	18	lower	low	ADJ
ejpam-6292	355	19	,	,	PUNCT
ejpam-6292	355	20	staying	stay	VERB
ejpam-6292	355	21	below	below	ADP
ejpam-6292	355	22	0.04	0.04	NUM
ejpam-6292	355	23	.	.	PUNCT
ejpam-6292	356	1	the	the	DET
ejpam-6292	356	2	error	error	NOUN
ejpam-6292	356	3	remains	remain	VERB
ejpam-6292	356	4	smoothly	smoothly	ADV
ejpam-6292	356	5	distributed	distribute	VERB
ejpam-6292	356	6	,	,	PUNCT
ejpam-6292	356	7	showing	show	VERB
ejpam-6292	356	8	that	that	SCONJ
ejpam-6292	356	9	the	the	DET
ejpam-6292	356	10	proposed	propose	VERB
ejpam-6292	356	11	method	method	NOUN
ejpam-6292	356	12	maintains	maintain	VERB
ejpam-6292	356	13	higher	high	ADJ
ejpam-6292	356	14	numerical	numerical	ADJ
ejpam-6292	356	15	stability	stability	NOUN
ejpam-6292	356	16	.	.	PUNCT
ejpam-6292	357	1	unlike	unlike	ADP
ejpam-6292	357	2	nsfd	nsfd	NOUN
ejpam-6292	357	3	,	,	PUNCT
ejpam-6292	357	4	the	the	DET
ejpam-6292	357	5	proposed	propose	VERB
ejpam-6292	357	6	scheme	scheme	NOUN
ejpam-6292	357	7	does	do	AUX
ejpam-6292	357	8	not	not	PART
ejpam-6292	357	9	accumulate	accumulate	VERB
ejpam-6292	357	10	significant	significant	ADJ
ejpam-6292	357	11	errors	error	NOUN
ejpam-6292	357	12	over	over	ADP
ejpam-6292	357	13	time	time	NOUN
ejpam-6292	357	14	,	,	PUNCT
ejpam-6292	357	15	making	make	VERB
ejpam-6292	357	16	it	it	PRON
ejpam-6292	357	17	a	a	DET
ejpam-6292	357	18	better	well	ADJ
ejpam-6292	357	19	choice	choice	NOUN
ejpam-6292	357	20	for	for	ADP
ejpam-6292	357	21	long	long	ADJ
ejpam-6292	357	22	-	-	PUNCT
ejpam-6292	357	23	term	term	NOUN
ejpam-6292	357	24	simulations	simulation	NOUN
ejpam-6292	357	25	.	.	PUNCT
ejpam-6292	358	1	figure	figure	VERB
ejpam-6292	358	2	7	7	NUM
ejpam-6292	358	3	:	:	PUNCT
ejpam-6292	358	4	comparison	comparison	NOUN
ejpam-6292	358	5	of	of	ADP
ejpam-6292	358	6	nsfd	nsfd	NOUN
ejpam-6292	358	7	and	and	CCONJ
ejpam-6292	358	8	proposed	propose	VERB
ejpam-6292	358	9	scheme	scheme	NOUN
ejpam-6292	358	10	with	with	ADP
ejpam-6292	358	11	matlab	matlab	PROPN
ejpam-6292	358	12	pdepe	pdepe	PROPN
ejpam-6292	358	13	solver	solver	VERB
ejpam-6292	358	14	for	for	ADP
ejpam-6292	358	15	recovered	recovered	ADJ
ejpam-6292	358	16	population	population	NOUN
ejpam-6292	358	17	r.	r.	PROPN
ejpam-6292	358	18	5.8	5.8	NUM
ejpam-6292	358	19	comparison	comparison	NOUN
ejpam-6292	358	20	of	of	ADP
ejpam-6292	358	21	proposed	propose	VERB
ejpam-6292	358	22	and	and	CCONJ
ejpam-6292	358	23	nsfd	nsfd	ADJ
ejpam-6292	358	24	methods	method	NOUN
ejpam-6292	358	25	for	for	ADP
ejpam-6292	358	26	β(t	β(t	PROPN
ejpam-6292	358	27	,	,	PUNCT
ejpam-6292	358	28	x	x	X
ejpam-6292	358	29	)	)	PUNCT
ejpam-6292	358	30	(	(	PUNCT
ejpam-6292	358	31	transmission	transmission	NOUN
ejpam-6292	358	32	rate	rate	NOUN
ejpam-6292	358	33	)	)	PUNCT
ejpam-6292	358	34	figure	figure	NOUN
ejpam-6292	358	35	8	8	NUM
ejpam-6292	358	36	compares	compare	VERB
ejpam-6292	358	37	the	the	DET
ejpam-6292	358	38	accuracy	accuracy	NOUN
ejpam-6292	358	39	of	of	ADP
ejpam-6292	358	40	the	the	DET
ejpam-6292	358	41	proposed	propose	VERB
ejpam-6292	358	42	numerical	numerical	ADJ
ejpam-6292	358	43	scheme	scheme	NOUN
ejpam-6292	358	44	with	with	ADP
ejpam-6292	358	45	the	the	DET
ejpam-6292	358	46	existing	exist	VERB
ejpam-6292	358	47	nonstandard	nonstandard	ADJ
ejpam-6292	358	48	finite	finite	ADJ
ejpam-6292	358	49	difference	difference	NOUN
ejpam-6292	358	50	(	(	PUNCT
ejpam-6292	358	51	nsfd	nsfd	ADJ
ejpam-6292	358	52	)	)	PUNCT
ejpam-6292	358	53	method	method	NOUN
ejpam-6292	358	54	in	in	ADP
ejpam-6292	358	55	computing	compute	VERB
ejpam-6292	358	56	the	the	DET
ejpam-6292	358	57	transmission	transmission	NOUN
ejpam-6292	358	58	rate	rate	NOUN
ejpam-6292	358	59	β(t	β(t	PROPN
ejpam-6292	358	60	,	,	PUNCT
ejpam-6292	358	61	x	x	X
ejpam-6292	358	62	)	)	PUNCT
ejpam-6292	358	63	m.	m.	NOUN
ejpam-6292	358	64	s.	s.	PROPN
ejpam-6292	358	65	arif	arif	PROPN
ejpam-6292	358	66	,	,	PUNCT
ejpam-6292	358	67	k.	k.	PROPN
ejpam-6292	358	68	abodayeh	abodayeh	PROPN
ejpam-6292	358	69	,	,	PUNCT
ejpam-6292	358	70	y.	y.	NOUN
ejpam-6292	358	71	nawaz	nawaz	PROPN
ejpam-6292	358	72	/	/	SYM
ejpam-6292	358	73	eur	eur	PROPN
ejpam-6292	358	74	.	.	PUNCT
ejpam-6292	359	1	j.	j.	PROPN
ejpam-6292	359	2	pure	pure	PROPN
ejpam-6292	359	3	appl	appl	PROPN
ejpam-6292	359	4	.	.	PROPN
ejpam-6292	359	5	math	math	PROPN
ejpam-6292	359	6	,	,	PUNCT
ejpam-6292	359	7	18	18	NUM
ejpam-6292	359	8	(	(	PUNCT
ejpam-6292	359	9	3	3	NUM
ejpam-6292	359	10	)	)	PUNCT
ejpam-6292	359	11	(	(	PUNCT
ejpam-6292	359	12	2025	2025	NUM
ejpam-6292	359	13	)	)	PUNCT
ejpam-6292	359	14	,	,	PUNCT
ejpam-6292	359	15	6292	6292	NUM
ejpam-6292	359	16	20	20	NUM
ejpam-6292	359	17	of	of	ADP
ejpam-6292	359	18	24	24	NUM
ejpam-6292	359	19	over	over	ADP
ejpam-6292	359	20	time	time	NOUN
ejpam-6292	359	21	and	and	CCONJ
ejpam-6292	359	22	space	space	NOUN
ejpam-6292	359	23	.	.	PUNCT
ejpam-6292	360	1	the	the	DET
ejpam-6292	360	2	parameters	parameter	NOUN
ejpam-6292	360	3	used	use	VERB
ejpam-6292	360	4	in	in	ADP
ejpam-6292	360	5	the	the	DET
ejpam-6292	360	6	simulation	simulation	NOUN
ejpam-6292	360	7	are	be	AUX
ejpam-6292	360	8	:	:	PUNCT
ejpam-6292	360	9	d1	d1	PROPN
ejpam-6292	360	10	=	=	SYM
ejpam-6292	360	11	d2	d2	PROPN
ejpam-6292	360	12	=	=	PUNCT
ejpam-6292	360	13	d3	d3	PROPN
ejpam-6292	360	14	=	=	SYM
ejpam-6292	360	15	d4	d4	PROPN
ejpam-6292	360	16	=	=	SYM
ejpam-6292	360	17	0.1	0.1	NUM
ejpam-6292	360	18	,	,	PUNCT
ejpam-6292	360	19	θ	θ	X
ejpam-6292	360	20	=	=	SYM
ejpam-6292	360	21	0.1	0.1	NUM
ejpam-6292	360	22	,	,	PUNCT
ejpam-6292	360	23	c1	c1	NOUN
ejpam-6292	360	24	=	=	NOUN
ejpam-6292	360	25	0.1	0.1	NUM
ejpam-6292	360	26	,	,	PUNCT
ejpam-6292	360	27	α	α	X
ejpam-6292	360	28	=	=	NOUN
ejpam-6292	360	29	0.3	0.3	NUM
ejpam-6292	360	30	,	,	PUNCT
ejpam-6292	360	31	m	m	VERB
ejpam-6292	360	32	=	=	NOUN
ejpam-6292	360	33	0.1	0.1	NUM
ejpam-6292	360	34	,	,	PUNCT
ejpam-6292	360	35	δ	δ	X
ejpam-6292	360	36	=	=	SYM
ejpam-6292	360	37	0.1	0.1	NUM
ejpam-6292	360	38	,	,	PUNCT
ejpam-6292	360	39	µ	µ	X
ejpam-6292	360	40	=	=	SYM
ejpam-6292	360	41	0.1	0.1	NUM
ejpam-6292	360	42	,	,	PUNCT
ejpam-6292	360	43	λ	λ	X
ejpam-6292	360	44	=	=	NOUN
ejpam-6292	360	45	0.1	0.1	NUM
ejpam-6292	360	46	,	,	PUNCT
ejpam-6292	360	47	γ	γ	X
ejpam-6292	360	48	=	=	SYM
ejpam-6292	360	49	0.1	0.1	NUM
ejpam-6292	360	50	.	.	PUNCT
ejpam-6292	361	1	the	the	DET
ejpam-6292	361	2	comparison	comparison	NOUN
ejpam-6292	361	3	is	be	AUX
ejpam-6292	361	4	visualized	visualize	VERB
ejpam-6292	361	5	by	by	ADP
ejpam-6292	361	6	plotting	plot	VERB
ejpam-6292	361	7	the	the	DET
ejpam-6292	361	8	absolute	absolute	ADJ
ejpam-6292	361	9	differences	difference	NOUN
ejpam-6292	361	10	between	between	ADP
ejpam-6292	361	11	the	the	DET
ejpam-6292	361	12	numerical	numerical	ADJ
ejpam-6292	361	13	solutions	solution	NOUN
ejpam-6292	361	14	obtained	obtain	VERB
ejpam-6292	361	15	using	use	VERB
ejpam-6292	361	16	the	the	DET
ejpam-6292	361	17	nsfd	nsfd	ADJ
ejpam-6292	361	18	scheme	scheme	NOUN
ejpam-6292	361	19	vs.	vs.	ADP
ejpam-6292	361	20	matlab	matlab	PROPN
ejpam-6292	361	21	solver	solver	NOUN
ejpam-6292	361	22	pdepe	pdepe	NOUN
ejpam-6292	361	23	(	(	PUNCT
ejpam-6292	361	24	left	leave	VERB
ejpam-6292	361	25	plot	plot	NOUN
ejpam-6292	361	26	)	)	PUNCT
ejpam-6292	361	27	.	.	PUNCT
ejpam-6292	362	1	the	the	DET
ejpam-6292	362	2	right	right	ADJ
ejpam-6292	362	3	plot	plot	NOUN
ejpam-6292	362	4	shows	show	VERB
ejpam-6292	362	5	the	the	DET
ejpam-6292	362	6	absolute	absolute	ADJ
ejpam-6292	362	7	error	error	NOUN
ejpam-6292	362	8	between	between	ADP
ejpam-6292	362	9	the	the	DET
ejpam-6292	362	10	proposed	propose	VERB
ejpam-6292	362	11	scheme	scheme	NOUN
ejpam-6292	362	12	and	and	CCONJ
ejpam-6292	362	13	the	the	DET
ejpam-6292	362	14	matlab	matlab	PROPN
ejpam-6292	362	15	solver	solver	NOUN
ejpam-6292	362	16	pdepe	pdepe	NOUN
ejpam-6292	362	17	.	.	PUNCT
ejpam-6292	363	1	the	the	DET
ejpam-6292	363	2	absolute	absolute	ADJ
ejpam-6292	363	3	error	error	NOUN
ejpam-6292	363	4	is	be	AUX
ejpam-6292	363	5	analyzed	analyze	VERB
ejpam-6292	363	6	over	over	ADP
ejpam-6292	363	7	time	time	NOUN
ejpam-6292	363	8	t	t	PROPN
ejpam-6292	363	9	and	and	CCONJ
ejpam-6292	363	10	spatial	spatial	ADJ
ejpam-6292	363	11	coordinate	coordinate	NOUN
ejpam-6292	363	12	x.	x.	NOUN
ejpam-6292	363	13	•	•	ADP
ejpam-6292	363	14	left	leave	VERB
ejpam-6292	363	15	panel	panel	NOUN
ejpam-6292	363	16	(	(	PUNCT
ejpam-6292	363	17	nsfd	nsfd	ADJ
ejpam-6292	363	18	vs.	vs.	ADP
ejpam-6292	363	19	matlab	matlab	PROPN
ejpam-6292	363	20	pdepe	pdepe	PROPN
ejpam-6292	363	21	solver	solver	ADV
ejpam-6292	363	22	):	):	PUNCT
ejpam-6292	363	23	the	the	DET
ejpam-6292	363	24	absolute	absolute	ADJ
ejpam-6292	363	25	error	error	NOUN
ejpam-6292	363	26	|βpdepe	|βpdepe	NOUN
ejpam-6292	363	27	−	−	NOUN
ejpam-6292	363	28	βnsfd|	βnsfd|	NOUN
ejpam-6292	363	29	reaches	reach	VERB
ejpam-6292	363	30	0.15	0.15	NUM
ejpam-6292	363	31	,	,	PUNCT
ejpam-6292	363	32	indicating	indicate	VERB
ejpam-6292	363	33	a	a	DET
ejpam-6292	363	34	moderate	moderate	ADJ
ejpam-6292	363	35	level	level	NOUN
ejpam-6292	363	36	of	of	ADP
ejpam-6292	363	37	error	error	NOUN
ejpam-6292	363	38	in	in	ADP
ejpam-6292	363	39	the	the	DET
ejpam-6292	363	40	nsfd	nsfd	ADJ
ejpam-6292	363	41	method	method	NOUN
ejpam-6292	363	42	.	.	PUNCT
ejpam-6292	364	1	the	the	DET
ejpam-6292	364	2	error	error	NOUN
ejpam-6292	364	3	is	be	AUX
ejpam-6292	364	4	not	not	PART
ejpam-6292	364	5	uniform	uniform	ADJ
ejpam-6292	364	6	,	,	PUNCT
ejpam-6292	364	7	suggesting	suggest	VERB
ejpam-6292	364	8	that	that	SCONJ
ejpam-6292	364	9	nsfd	nsfd	PROPN
ejpam-6292	364	10	has	have	VERB
ejpam-6292	364	11	difficulty	difficulty	NOUN
ejpam-6292	364	12	capturing	capture	VERB
ejpam-6292	364	13	the	the	DET
ejpam-6292	364	14	transmission	transmission	NOUN
ejpam-6292	364	15	rate	rate	NOUN
ejpam-6292	364	16	dynamics	dynamic	NOUN
ejpam-6292	364	17	at	at	ADP
ejpam-6292	364	18	certain	certain	ADJ
ejpam-6292	364	19	points	point	NOUN
ejpam-6292	364	20	in	in	ADP
ejpam-6292	364	21	time	time	NOUN
ejpam-6292	364	22	and	and	CCONJ
ejpam-6292	364	23	space	space	NOUN
ejpam-6292	364	24	.	.	PUNCT
ejpam-6292	365	1	the	the	DET
ejpam-6292	365	2	error	error	NOUN
ejpam-6292	365	3	increases	increase	VERB
ejpam-6292	365	4	over	over	ADP
ejpam-6292	365	5	time	time	NOUN
ejpam-6292	365	6	,	,	PUNCT
ejpam-6292	365	7	showing	show	VERB
ejpam-6292	365	8	that	that	SCONJ
ejpam-6292	365	9	nsfd	nsfd	NOUN
ejpam-6292	365	10	accumulates	accumulate	VERB
ejpam-6292	365	11	inaccuracies	inaccuracy	NOUN
ejpam-6292	365	12	as	as	SCONJ
ejpam-6292	365	13	the	the	DET
ejpam-6292	365	14	simulation	simulation	NOUN
ejpam-6292	365	15	progresses	progress	VERB
ejpam-6292	365	16	.	.	PUNCT
ejpam-6292	366	1	•	•	NUM
ejpam-6292	366	2	right	right	ADJ
ejpam-6292	366	3	panel	panel	NOUN
ejpam-6292	366	4	(	(	PUNCT
ejpam-6292	366	5	proposed	propose	VERB
ejpam-6292	366	6	scheme	scheme	NOUN
ejpam-6292	366	7	vs.	vs.	ADP
ejpam-6292	366	8	matlab	matlab	PROPN
ejpam-6292	366	9	pdepe	pdepe	PROPN
ejpam-6292	366	10	solver	solver	ADV
ejpam-6292	366	11	):	):	PUNCT
ejpam-6292	366	12	the	the	DET
ejpam-6292	366	13	absolute	absolute	ADJ
ejpam-6292	366	14	error	error	NOUN
ejpam-6292	366	15	|βpdepe−βproposed|	|βpdepe−βproposed|	NOUN
ejpam-6292	366	16	reaches	reach	VERB
ejpam-6292	366	17	0.25	0.25	NUM
ejpam-6292	366	18	,	,	PUNCT
ejpam-6292	366	19	slightly	slightly	ADV
ejpam-6292	366	20	higher	high	ADJ
ejpam-6292	366	21	than	than	ADP
ejpam-6292	366	22	the	the	DET
ejpam-6292	366	23	nsfd	nsfd	ADJ
ejpam-6292	366	24	error	error	NOUN
ejpam-6292	366	25	in	in	ADP
ejpam-6292	366	26	certain	certain	ADJ
ejpam-6292	366	27	regions	region	NOUN
ejpam-6292	366	28	.	.	PUNCT
ejpam-6292	367	1	the	the	DET
ejpam-6292	367	2	error	error	NOUN
ejpam-6292	367	3	distribution	distribution	NOUN
ejpam-6292	367	4	is	be	AUX
ejpam-6292	367	5	more	more	ADV
ejpam-6292	367	6	uniform	uniform	ADJ
ejpam-6292	367	7	and	and	CCONJ
ejpam-6292	367	8	smoother	smooth	ADJ
ejpam-6292	367	9	,	,	PUNCT
ejpam-6292	367	10	suggesting	suggest	VERB
ejpam-6292	367	11	better	well	ADJ
ejpam-6292	367	12	numerical	numerical	ADJ
ejpam-6292	367	13	stability	stability	NOUN
ejpam-6292	367	14	than	than	SCONJ
ejpam-6292	367	15	nsfd	nsfd	ADJ
ejpam-6292	367	16	.	.	PUNCT
ejpam-6292	368	1	despite	despite	SCONJ
ejpam-6292	368	2	the	the	DET
ejpam-6292	368	3	slightly	slightly	ADV
ejpam-6292	368	4	higher	high	ADJ
ejpam-6292	368	5	maximum	maximum	NOUN
ejpam-6292	368	6	error	error	NOUN
ejpam-6292	368	7	,	,	PUNCT
ejpam-6292	368	8	the	the	DET
ejpam-6292	368	9	proposed	propose	VERB
ejpam-6292	368	10	scheme	scheme	NOUN
ejpam-6292	368	11	maintains	maintain	VERB
ejpam-6292	368	12	stability	stability	NOUN
ejpam-6292	368	13	and	and	CCONJ
ejpam-6292	368	14	avoids	avoid	VERB
ejpam-6292	368	15	sharp	sharp	ADJ
ejpam-6292	368	16	fluctuations	fluctuation	NOUN
ejpam-6292	368	17	,	,	PUNCT
ejpam-6292	368	18	making	make	VERB
ejpam-6292	368	19	it	it	PRON
ejpam-6292	368	20	more	more	ADV
ejpam-6292	368	21	reliable	reliable	ADJ
ejpam-6292	368	22	in	in	ADP
ejpam-6292	368	23	long	long	ADJ
ejpam-6292	368	24	-	-	PUNCT
ejpam-6292	368	25	term	term	NOUN
ejpam-6292	368	26	simulations	simulation	NOUN
ejpam-6292	368	27	.	.	PUNCT
ejpam-6292	369	1	the	the	DET
ejpam-6292	369	2	nonstandard	nonstandard	ADJ
ejpam-6292	369	3	finite	finite	ADJ
ejpam-6292	369	4	difference	difference	NOUN
ejpam-6292	369	5	method	method	NOUN
ejpam-6292	369	6	used	use	VERB
ejpam-6292	369	7	in	in	ADP
ejpam-6292	369	8	[	[	X
ejpam-6292	369	9	51	51	NUM
ejpam-6292	369	10	]	]	PUNCT
ejpam-6292	369	11	is	be	AUX
ejpam-6292	369	12	also	also	ADV
ejpam-6292	369	13	applied	apply	VERB
ejpam-6292	369	14	here	here	ADV
ejpam-6292	369	15	in	in	ADP
ejpam-6292	369	16	this	this	DET
ejpam-6292	369	17	study	study	NOUN
ejpam-6292	369	18	.	.	PUNCT
ejpam-6292	370	1	since	since	SCONJ
ejpam-6292	370	2	the	the	DET
ejpam-6292	370	3	nonstandard	nonstandard	ADJ
ejpam-6292	370	4	finite	finite	ADJ
ejpam-6292	370	5	difference	difference	NOUN
ejpam-6292	370	6	method	method	NOUN
ejpam-6292	370	7	is	be	AUX
ejpam-6292	370	8	not	not	PART
ejpam-6292	370	9	even	even	ADV
ejpam-6292	370	10	first	first	ADJ
ejpam-6292	370	11	-	-	PUNCT
ejpam-6292	370	12	order	order	NOUN
ejpam-6292	370	13	accurate	accurate	ADJ
ejpam-6292	370	14	in	in	ADP
ejpam-6292	370	15	time	time	NOUN
ejpam-6292	370	16	,	,	PUNCT
ejpam-6292	370	17	the	the	DET
ejpam-6292	370	18	proposed	propose	VERB
ejpam-6292	370	19	scheme	scheme	NOUN
ejpam-6292	370	20	performs	perform	VERB
ejpam-6292	370	21	better	well	ADJ
ejpam-6292	370	22	than	than	ADP
ejpam-6292	370	23	the	the	DET
ejpam-6292	370	24	nonstandard	nonstandard	ADJ
ejpam-6292	370	25	finite	finite	ADJ
ejpam-6292	370	26	difference	difference	NOUN
ejpam-6292	370	27	scheme	scheme	NOUN
ejpam-6292	370	28	.	.	PUNCT
ejpam-6292	371	1	figure	figure	NOUN
ejpam-6292	371	2	8	8	NUM
ejpam-6292	371	3	:	:	PUNCT
ejpam-6292	371	4	comparison	comparison	NOUN
ejpam-6292	371	5	of	of	ADP
ejpam-6292	371	6	nsfd	nsfd	NOUN
ejpam-6292	371	7	and	and	CCONJ
ejpam-6292	371	8	proposed	propose	VERB
ejpam-6292	371	9	scheme	scheme	NOUN
ejpam-6292	371	10	with	with	ADP
ejpam-6292	371	11	matlab	matlab	PROPN
ejpam-6292	371	12	pdepe	pdepe	PROPN
ejpam-6292	371	13	solver	solver	VERB
ejpam-6292	371	14	for	for	ADP
ejpam-6292	371	15	transmission	transmission	NOUN
ejpam-6292	371	16	rate	rate	NOUN
ejpam-6292	371	17	β(t	β(t	PROPN
ejpam-6292	371	18	,	,	PUNCT
ejpam-6292	371	19	x	x	NOUN
ejpam-6292	371	20	)	)	PUNCT
ejpam-6292	371	21	.	.	PUNCT
ejpam-6292	372	1	m.	m.	PROPN
ejpam-6292	372	2	s.	s.	PROPN
ejpam-6292	372	3	arif	arif	PROPN
ejpam-6292	372	4	,	,	PUNCT
ejpam-6292	372	5	k.	k.	PROPN
ejpam-6292	372	6	abodayeh	abodayeh	PROPN
ejpam-6292	372	7	,	,	PUNCT
ejpam-6292	372	8	y.	y.	NOUN
ejpam-6292	372	9	nawaz	nawaz	PROPN
ejpam-6292	372	10	/	/	SYM
ejpam-6292	372	11	eur	eur	PROPN
ejpam-6292	372	12	.	.	PUNCT
ejpam-6292	373	1	j.	j.	PROPN
ejpam-6292	373	2	pure	pure	PROPN
ejpam-6292	373	3	appl	appl	PROPN
ejpam-6292	373	4	.	.	PROPN
ejpam-6292	373	5	math	math	PROPN
ejpam-6292	373	6	,	,	PUNCT
ejpam-6292	373	7	18	18	NUM
ejpam-6292	373	8	(	(	PUNCT
ejpam-6292	373	9	3	3	NUM
ejpam-6292	373	10	)	)	PUNCT
ejpam-6292	373	11	(	(	PUNCT
ejpam-6292	373	12	2025	2025	NUM
ejpam-6292	373	13	)	)	PUNCT
ejpam-6292	373	14	,	,	PUNCT
ejpam-6292	373	15	6292	6292	NUM
ejpam-6292	373	16	21	21	NUM
ejpam-6292	373	17	of	of	ADP
ejpam-6292	373	18	24	24	NUM
ejpam-6292	373	19	6	6	NUM
ejpam-6292	373	20	.	.	PUNCT
ejpam-6292	374	1	conclusion	conclusion	NOUN
ejpam-6292	374	2	with	with	ADP
ejpam-6292	374	3	an	an	DET
ejpam-6292	374	4	emphasis	emphasis	NOUN
ejpam-6292	374	5	on	on	ADP
ejpam-6292	374	6	the	the	DET
ejpam-6292	374	7	stochastic	stochastic	ADJ
ejpam-6292	374	8	fuzzy	fuzzy	ADJ
ejpam-6292	374	9	sir	sir	PROPN
ejpam-6292	374	10	-	-	PUNCT
ejpam-6292	374	11	β	β	PROPN
ejpam-6292	374	12	model	model	NOUN
ejpam-6292	374	13	,	,	PUNCT
ejpam-6292	374	14	including	include	VERB
ejpam-6292	374	15	diffusion	diffusion	NOUN
ejpam-6292	374	16	and	and	CCONJ
ejpam-6292	374	17	a	a	DET
ejpam-6292	374	18	nonlinear	nonlinear	ADJ
ejpam-6292	374	19	incidence	incidence	NOUN
ejpam-6292	374	20	rate	rate	NOUN
ejpam-6292	374	21	,	,	PUNCT
ejpam-6292	375	1	in	in	ADP
ejpam-6292	375	2	this	this	DET
ejpam-6292	375	3	work	work	NOUN
ejpam-6292	375	4	,	,	PUNCT
ejpam-6292	375	5	we	we	PRON
ejpam-6292	375	6	suggested	suggest	VERB
ejpam-6292	375	7	an	an	DET
ejpam-6292	375	8	explicit	explicit	ADJ
ejpam-6292	375	9	finite	finite	ADJ
ejpam-6292	375	10	difference	difference	NOUN
ejpam-6292	375	11	scheme	scheme	NOUN
ejpam-6292	375	12	for	for	ADP
ejpam-6292	375	13	solving	solve	VERB
ejpam-6292	375	14	fuzzy	fuzzy	ADJ
ejpam-6292	375	15	stochastic	stochastic	ADJ
ejpam-6292	375	16	partial	partial	ADJ
ejpam-6292	375	17	differential	differential	NOUN
ejpam-6292	375	18	equations	equation	NOUN
ejpam-6292	375	19	.	.	PUNCT
ejpam-6292	376	1	two	two	NUM
ejpam-6292	376	2	-	-	PUNCT
ejpam-6292	376	3	time	time	NOUN
ejpam-6292	376	4	levels	level	NOUN
ejpam-6292	376	5	define	define	VERB
ejpam-6292	376	6	the	the	DET
ejpam-6292	376	7	developed	develop	VERB
ejpam-6292	376	8	technique	technique	NOUN
ejpam-6292	376	9	,	,	PUNCT
ejpam-6292	376	10	incorporating	incorporate	VERB
ejpam-6292	376	11	a	a	DET
ejpam-6292	376	12	modified	modify	VERB
ejpam-6292	376	13	time	time	NOUN
ejpam-6292	376	14	integrator	integrator	NOUN
ejpam-6292	376	15	to	to	PART
ejpam-6292	376	16	improve	improve	VERB
ejpam-6292	376	17	accuracy	accuracy	NOUN
ejpam-6292	376	18	and	and	CCONJ
ejpam-6292	376	19	stability	stability	NOUN
ejpam-6292	376	20	.	.	PUNCT
ejpam-6292	377	1	to	to	PART
ejpam-6292	377	2	guarantee	guarantee	VERB
ejpam-6292	377	3	the	the	DET
ejpam-6292	377	4	dependability	dependability	NOUN
ejpam-6292	377	5	of	of	ADP
ejpam-6292	377	6	the	the	DET
ejpam-6292	377	7	scheme	scheme	NOUN
ejpam-6292	377	8	in	in	ADP
ejpam-6292	377	9	solving	solve	VERB
ejpam-6292	377	10	challenging	challenging	ADJ
ejpam-6292	377	11	epidemiological	epidemiological	ADJ
ejpam-6292	377	12	models	model	NOUN
ejpam-6292	377	13	under	under	ADP
ejpam-6292	377	14	uncertainty	uncertainty	NOUN
ejpam-6292	377	15	,	,	PUNCT
ejpam-6292	377	16	we	we	PRON
ejpam-6292	377	17	presented	present	VERB
ejpam-6292	377	18	a	a	DET
ejpam-6292	377	19	thorough	thorough	ADJ
ejpam-6292	377	20	investigation	investigation	NOUN
ejpam-6292	377	21	of	of	ADP
ejpam-6292	377	22	its	its	PRON
ejpam-6292	377	23	stability	stability	NOUN
ejpam-6292	377	24	and	and	CCONJ
ejpam-6292	377	25	consistency	consistency	NOUN
ejpam-6292	377	26	in	in	ADP
ejpam-6292	377	27	the	the	DET
ejpam-6292	377	28	mean	mean	ADJ
ejpam-6292	377	29	square	square	ADJ
ejpam-6292	377	30	sense	sense	NOUN
ejpam-6292	377	31	.	.	PUNCT
ejpam-6292	378	1	applying	apply	VERB
ejpam-6292	378	2	the	the	DET
ejpam-6292	378	3	suggested	suggest	VERB
ejpam-6292	378	4	approach	approach	NOUN
ejpam-6292	378	5	to	to	ADP
ejpam-6292	378	6	the	the	DET
ejpam-6292	378	7	fuzzy	fuzzy	ADJ
ejpam-6292	378	8	stochastic	stochastic	ADJ
ejpam-6292	378	9	sir	sir	PROPN
ejpam-6292	378	10	-	-	PUNCT
ejpam-6292	378	11	β	β	PROPN
ejpam-6292	378	12	model	model	NOUN
ejpam-6292	378	13	shows	show	VERB
ejpam-6292	378	14	how	how	SCONJ
ejpam-6292	378	15	well	well	ADV
ejpam-6292	378	16	it	it	PRON
ejpam-6292	378	17	captures	capture	VERB
ejpam-6292	378	18	both	both	DET
ejpam-6292	378	19	stochastic	stochastic	ADJ
ejpam-6292	378	20	fluctuations	fluctuation	NOUN
ejpam-6292	378	21	and	and	CCONJ
ejpam-6292	378	22	fuzzy	fuzzy	ADJ
ejpam-6292	378	23	uncertainty	uncertainty	NOUN
ejpam-6292	378	24	related	relate	VERB
ejpam-6292	378	25	to	to	ADP
ejpam-6292	378	26	disease	disease	NOUN
ejpam-6292	378	27	spread	spread	VERB
ejpam-6292	378	28	.	.	PUNCT
ejpam-6292	379	1	we	we	PRON
ejpam-6292	379	2	tested	test	VERB
ejpam-6292	379	3	,	,	PUNCT
ejpam-6292	379	4	using	use	VERB
ejpam-6292	379	5	numerical	numerical	ADJ
ejpam-6292	379	6	simulations	simulation	NOUN
ejpam-6292	379	7	,	,	PUNCT
ejpam-6292	379	8	the	the	DET
ejpam-6292	379	9	performance	performance	NOUN
ejpam-6292	379	10	of	of	ADP
ejpam-6292	379	11	our	our	PRON
ejpam-6292	379	12	strategy	strategy	NOUN
ejpam-6292	379	13	with	with	ADP
ejpam-6292	379	14	an	an	DET
ejpam-6292	379	15	existing	exist	VERB
ejpam-6292	379	16	nonstandard	nonstandard	ADJ
ejpam-6292	379	17	finite	finite	ADJ
ejpam-6292	379	18	difference	difference	NOUN
ejpam-6292	379	19	(	(	PUNCT
ejpam-6292	379	20	nsfd	nsfd	ADJ
ejpam-6292	379	21	)	)	PUNCT
ejpam-6292	379	22	approach	approach	NOUN
ejpam-6292	379	23	applied	apply	VERB
ejpam-6292	379	24	to	to	ADP
ejpam-6292	379	25	deterministic	deterministic	ADJ
ejpam-6292	379	26	models	model	NOUN
ejpam-6292	379	27	.	.	PUNCT
ejpam-6292	380	1	particularly	particularly	ADV
ejpam-6292	380	2	in	in	ADP
ejpam-6292	380	3	cases	case	NOUN
ejpam-6292	380	4	including	include	VERB
ejpam-6292	380	5	stochastic	stochastic	ADJ
ejpam-6292	380	6	perturbations	perturbation	NOUN
ejpam-6292	380	7	and	and	CCONJ
ejpam-6292	380	8	fuzzy	fuzzy	ADJ
ejpam-6292	380	9	uncertainty	uncertainty	NOUN
ejpam-6292	380	10	,	,	PUNCT
ejpam-6292	380	11	the	the	DET
ejpam-6292	380	12	findings	finding	NOUN
ejpam-6292	380	13	revealed	reveal	VERB
ejpam-6292	380	14	that	that	SCONJ
ejpam-6292	380	15	our	our	PRON
ejpam-6292	380	16	technique	technique	NOUN
ejpam-6292	380	17	beats	beat	VERB
ejpam-6292	380	18	the	the	DET
ejpam-6292	380	19	nsfd	nsfd	ADJ
ejpam-6292	380	20	method	method	NOUN
ejpam-6292	380	21	in	in	ADP
ejpam-6292	380	22	terms	term	NOUN
ejpam-6292	380	23	of	of	ADP
ejpam-6292	380	24	accuracy	accuracy	NOUN
ejpam-6292	380	25	and	and	CCONJ
ejpam-6292	380	26	numerical	numerical	ADJ
ejpam-6292	380	27	stability	stability	NOUN
ejpam-6292	380	28	.	.	PUNCT
ejpam-6292	381	1	a	a	DET
ejpam-6292	381	2	numerical	numerical	ADJ
ejpam-6292	381	3	scheme	scheme	NOUN
ejpam-6292	381	4	has	have	AUX
ejpam-6292	381	5	been	be	AUX
ejpam-6292	381	6	proposed	propose	VERB
ejpam-6292	381	7	for	for	ADP
ejpam-6292	381	8	solving	solve	VERB
ejpam-6292	381	9	stochastic	stochastic	ADJ
ejpam-6292	381	10	time	time	NOUN
ejpam-6292	381	11	-	-	PUNCT
ejpam-6292	381	12	dependent	dependent	ADJ
ejpam-6292	381	13	partial	partial	ADJ
ejpam-6292	381	14	differential	differential	NOUN
ejpam-6292	381	15	equations	equation	NOUN
ejpam-6292	381	16	.	.	PUNCT
ejpam-6292	382	1	a	a	DET
ejpam-6292	382	2	compact	compact	ADJ
ejpam-6292	382	3	scheme	scheme	NOUN
ejpam-6292	382	4	is	be	AUX
ejpam-6292	382	5	chosen	choose	VERB
ejpam-6292	382	6	to	to	PART
ejpam-6292	382	7	discretize	discretize	VERB
ejpam-6292	382	8	space	space	NOUN
ejpam-6292	382	9	-	-	PUNCT
ejpam-6292	382	10	dependent	dependent	ADJ
ejpam-6292	382	11	terms	term	NOUN
ejpam-6292	382	12	.	.	PUNCT
ejpam-6292	383	1	the	the	DET
ejpam-6292	383	2	compact	compact	ADJ
ejpam-6292	383	3	scheme	scheme	NOUN
ejpam-6292	383	4	provided	provide	VERB
ejpam-6292	383	5	sixth	sixth	ADJ
ejpam-6292	383	6	-	-	PUNCT
ejpam-6292	383	7	order	order	NOUN
ejpam-6292	383	8	accuracy	accuracy	NOUN
ejpam-6292	383	9	on	on	ADP
ejpam-6292	383	10	most	most	ADJ
ejpam-6292	383	11	of	of	ADP
ejpam-6292	383	12	the	the	DET
ejpam-6292	383	13	grid	grid	NOUN
ejpam-6292	383	14	points	point	NOUN
ejpam-6292	383	15	.	.	PUNCT
ejpam-6292	384	1	the	the	DET
ejpam-6292	384	2	scheme	scheme	NOUN
ejpam-6292	384	3	has	have	AUX
ejpam-6292	384	4	been	be	AUX
ejpam-6292	384	5	applied	apply	VERB
ejpam-6292	384	6	to	to	ADP
ejpam-6292	384	7	a	a	DET
ejpam-6292	384	8	mathematical	mathematical	ADJ
ejpam-6292	384	9	model	model	NOUN
ejpam-6292	384	10	of	of	ADP
ejpam-6292	384	11	sir	sir	PROPN
ejpam-6292	384	12	-	-	PUNCT
ejpam-6292	384	13	β	β	PROPN
ejpam-6292	384	14	model	model	NOUN
ejpam-6292	384	15	.	.	PUNCT
ejpam-6292	385	1	following	follow	VERB
ejpam-6292	385	2	are	be	AUX
ejpam-6292	385	3	the	the	DET
ejpam-6292	385	4	concluding	conclude	VERB
ejpam-6292	385	5	points	point	NOUN
ejpam-6292	385	6	:	:	PUNCT
ejpam-6292	385	7	•	•	SCONJ
ejpam-6292	385	8	the	the	DET
ejpam-6292	385	9	proposed	propose	VERB
ejpam-6292	385	10	scheme	scheme	NOUN
ejpam-6292	385	11	performed	perform	VERB
ejpam-6292	385	12	better	well	ADV
ejpam-6292	385	13	than	than	ADP
ejpam-6292	385	14	the	the	DET
ejpam-6292	385	15	existing	exist	VERB
ejpam-6292	385	16	nonstandard	nonstandard	ADJ
ejpam-6292	385	17	finite	finite	ADJ
ejpam-6292	385	18	difference	difference	NOUN
ejpam-6292	385	19	scheme	scheme	NOUN
ejpam-6292	385	20	in	in	ADP
ejpam-6292	385	21	most	most	ADJ
ejpam-6292	385	22	cases	case	NOUN
ejpam-6292	385	23	.	.	PUNCT
ejpam-6292	386	1	•	•	NUM
ejpam-6292	386	2	both	both	DET
ejpam-6292	386	3	groups	group	NOUN
ejpam-6292	386	4	of	of	ADP
ejpam-6292	386	5	infective	infective	ADJ
ejpam-6292	386	6	people	people	NOUN
ejpam-6292	386	7	declined	decline	VERB
ejpam-6292	386	8	because	because	SCONJ
ejpam-6292	386	9	of	of	ADP
ejpam-6292	386	10	the	the	DET
ejpam-6292	386	11	increase	increase	NOUN
ejpam-6292	386	12	in	in	ADP
ejpam-6292	386	13	people	people	NOUN
ejpam-6292	386	14	’s	’s	PART
ejpam-6292	386	15	resistance	resistance	NOUN
ejpam-6292	386	16	to	to	PART
ejpam-6292	386	17	change	change	VERB
ejpam-6292	386	18	in	in	ADP
ejpam-6292	386	19	their	their	PRON
ejpam-6292	386	20	social	social	ADJ
ejpam-6292	386	21	behavior	behavior	NOUN
ejpam-6292	386	22	.	.	PUNCT
ejpam-6292	387	1	•	•	NUM
ejpam-6292	387	2	both	both	DET
ejpam-6292	387	3	parts	part	NOUN
ejpam-6292	387	4	of	of	ADP
ejpam-6292	387	5	infected	infected	ADJ
ejpam-6292	387	6	people	people	NOUN
ejpam-6292	387	7	decline	decline	VERB
ejpam-6292	387	8	by	by	ADP
ejpam-6292	387	9	raising	raise	VERB
ejpam-6292	387	10	the	the	DET
ejpam-6292	387	11	incidence	incidence	NOUN
ejpam-6292	387	12	rate	rate	NOUN
ejpam-6292	387	13	parameter	parameter	NOUN
ejpam-6292	387	14	.	.	PUNCT
ejpam-6292	388	1	the	the	DET
ejpam-6292	388	2	results	result	NOUN
ejpam-6292	388	3	of	of	ADP
ejpam-6292	388	4	this	this	DET
ejpam-6292	388	5	work	work	NOUN
ejpam-6292	388	6	help	help	NOUN
ejpam-6292	388	7	to	to	PART
ejpam-6292	388	8	progress	progress	VERB
ejpam-6292	388	9	numerical	numerical	ADJ
ejpam-6292	388	10	techniques	technique	NOUN
ejpam-6292	388	11	for	for	ADP
ejpam-6292	388	12	uncertain	uncertain	ADJ
ejpam-6292	388	13	epidemiological	epidemiological	ADJ
ejpam-6292	388	14	model	model	NOUN
ejpam-6292	388	15	solutions	solution	NOUN
ejpam-6292	388	16	.	.	PUNCT
ejpam-6292	389	1	our	our	PRON
ejpam-6292	389	2	method	method	NOUN
ejpam-6292	389	3	offers	offer	VERB
ejpam-6292	389	4	a	a	DET
ejpam-6292	389	5	more	more	ADV
ejpam-6292	389	6	realistic	realistic	ADJ
ejpam-6292	389	7	framework	framework	NOUN
ejpam-6292	389	8	for	for	ADP
ejpam-6292	389	9	modeling	model	VERB
ejpam-6292	389	10	infectious	infectious	ADJ
ejpam-6292	389	11	disease	disease	NOUN
ejpam-6292	389	12	dynamics	dynamic	NOUN
ejpam-6292	389	13	by	by	ADP
ejpam-6292	389	14	combining	combine	VERB
ejpam-6292	389	15	fuzzy	fuzzy	ADJ
ejpam-6292	389	16	logic	logic	NOUN
ejpam-6292	389	17	with	with	ADP
ejpam-6292	389	18	stochastic	stochastic	ADJ
ejpam-6292	389	19	processes	process	NOUN
ejpam-6292	389	20	,	,	PUNCT
ejpam-6292	389	21	which	which	PRON
ejpam-6292	389	22	can	can	AUX
ejpam-6292	389	23	be	be	AUX
ejpam-6292	389	24	helpful	helpful	ADJ
ejpam-6292	389	25	for	for	ADP
ejpam-6292	389	26	public	public	ADJ
ejpam-6292	389	27	health	health	NOUN
ejpam-6292	389	28	policy	policy	NOUN
ejpam-6292	389	29	-	-	PUNCT
ejpam-6292	389	30	making	making	NOUN
ejpam-6292	389	31	.	.	PUNCT
ejpam-6292	390	1	future	future	ADJ
ejpam-6292	390	2	studies	study	NOUN
ejpam-6292	390	3	can	can	AUX
ejpam-6292	390	4	expand	expand	VERB
ejpam-6292	390	5	this	this	DET
ejpam-6292	390	6	work	work	NOUN
ejpam-6292	390	7	by	by	ADP
ejpam-6292	390	8	investigating	investigate	VERB
ejpam-6292	390	9	implicit	implicit	ADJ
ejpam-6292	390	10	systems	system	NOUN
ejpam-6292	390	11	for	for	ADP
ejpam-6292	390	12	enhanced	enhanced	ADJ
ejpam-6292	390	13	stability	stability	NOUN
ejpam-6292	390	14	,	,	PUNCT
ejpam-6292	390	15	higher	high	ADJ
ejpam-6292	390	16	-	-	PUNCT
ejpam-6292	390	17	order	order	NOUN
ejpam-6292	390	18	accuracy	accuracy	NOUN
ejpam-6292	390	19	approaches	approach	NOUN
ejpam-6292	390	20	,	,	PUNCT
ejpam-6292	390	21	and	and	CCONJ
ejpam-6292	390	22	applications	application	NOUN
ejpam-6292	390	23	to	to	ADP
ejpam-6292	390	24	different	different	ADJ
ejpam-6292	390	25	epidemiological	epidemiological	ADJ
ejpam-6292	390	26	models	model	NOUN
ejpam-6292	390	27	,	,	PUNCT
ejpam-6292	390	28	including	include	VERB
ejpam-6292	390	29	numerous	numerous	ADJ
ejpam-6292	390	30	disease	disease	NOUN
ejpam-6292	390	31	compartments	compartment	NOUN
ejpam-6292	390	32	and	and	CCONJ
ejpam-6292	390	33	spatial	spatial	ADJ
ejpam-6292	390	34	heterogeneity	heterogeneity	NOUN
ejpam-6292	390	35	acknowledgements	acknowledgement	VERB
ejpam-6292	390	36	the	the	DET
ejpam-6292	390	37	authors	author	NOUN
ejpam-6292	390	38	would	would	AUX
ejpam-6292	390	39	like	like	VERB
ejpam-6292	390	40	to	to	PART
ejpam-6292	390	41	acknowledge	acknowledge	VERB
ejpam-6292	390	42	the	the	DET
ejpam-6292	390	43	support	support	NOUN
ejpam-6292	390	44	of	of	ADP
ejpam-6292	390	45	prince	prince	PROPN
ejpam-6292	390	46	sultan	sultan	PROPN
ejpam-6292	390	47	university	university	PROPN
ejpam-6292	390	48	for	for	ADP
ejpam-6292	390	49	paying	pay	VERB
ejpam-6292	390	50	the	the	DET
ejpam-6292	390	51	article	article	NOUN
ejpam-6292	390	52	processing	processing	NOUN
ejpam-6292	390	53	charges	charge	NOUN
ejpam-6292	390	54	(	(	PUNCT
ejpam-6292	390	55	apc	apc	PROPN
ejpam-6292	390	56	)	)	PUNCT
ejpam-6292	390	57	of	of	ADP
ejpam-6292	390	58	this	this	DET
ejpam-6292	390	59	publication	publication	NOUN
ejpam-6292	390	60	.	.	PUNCT
ejpam-6292	391	1	m.	m.	PROPN
ejpam-6292	391	2	s.	s.	PROPN
ejpam-6292	391	3	arif	arif	PROPN
ejpam-6292	391	4	,	,	PUNCT
ejpam-6292	391	5	k.	k.	PROPN
ejpam-6292	391	6	abodayeh	abodayeh	PROPN
ejpam-6292	391	7	,	,	PUNCT
ejpam-6292	391	8	y.	y.	NOUN
ejpam-6292	391	9	nawaz	nawaz	PROPN
ejpam-6292	391	10	/	/	SYM
ejpam-6292	391	11	eur	eur	PROPN
ejpam-6292	391	12	.	.	PUNCT
ejpam-6292	392	1	j.	j.	PROPN
ejpam-6292	392	2	pure	pure	PROPN
ejpam-6292	392	3	appl	appl	PROPN
ejpam-6292	392	4	.	.	PROPN
ejpam-6292	392	5	math	math	PROPN
ejpam-6292	392	6	,	,	PUNCT
ejpam-6292	392	7	18	18	NUM
ejpam-6292	392	8	(	(	PUNCT
ejpam-6292	392	9	3	3	NUM
ejpam-6292	392	10	)	)	PUNCT
ejpam-6292	392	11	(	(	PUNCT
ejpam-6292	392	12	2025	2025	NUM
ejpam-6292	392	13	)	)	PUNCT
ejpam-6292	392	14	,	,	PUNCT
ejpam-6292	392	15	6292	6292	NUM
ejpam-6292	392	16	22	22	NUM
ejpam-6292	392	17	of	of	ADP
ejpam-6292	392	18	24	24	NUM
ejpam-6292	392	19	references	reference	NOUN
ejpam-6292	392	20	[	[	X
ejpam-6292	392	21	1	1	NUM
ejpam-6292	392	22	]	]	X
ejpam-6292	392	23	w.o	w.o	PROPN
ejpam-6292	392	24	.	.	PROPN
ejpam-6292	392	25	kermack	kermack	PROPN
ejpam-6292	392	26	and	and	CCONJ
ejpam-6292	392	27	a.g	a.g	PROPN
ejpam-6292	392	28	.	.	PROPN
ejpam-6292	392	29	mckendrick	mckendrick	PROPN
ejpam-6292	392	30	.	.	PUNCT
ejpam-6292	393	1	a	a	DET
ejpam-6292	393	2	contribution	contribution	NOUN
ejpam-6292	393	3	to	to	ADP
ejpam-6292	393	4	the	the	DET
ejpam-6292	393	5	mathematical	mathematical	ADJ
ejpam-6292	393	6	theory	theory	NOUN
ejpam-6292	393	7	of	of	ADP
ejpam-6292	393	8	epidemics	epidemic	NOUN
ejpam-6292	393	9	.	.	PUNCT
ejpam-6292	394	1	proc	proc	PROPN
ejpam-6292	394	2	.	.	PUNCT
ejpam-6292	395	1	r.	r.	PROPN
ejpam-6292	395	2	soc	soc	PROPN
ejpam-6292	395	3	.	.	PUNCT
ejpam-6292	396	1	lond	lond	PROPN
ejpam-6292	396	2	.	.	PUNCT
ejpam-6292	397	1	ser	ser	PROPN
ejpam-6292	397	2	.	.	PROPN
ejpam-6292	397	3	,	,	PUNCT
ejpam-6292	397	4	115:700–721	115:700–721	NUM
ejpam-6292	397	5	,	,	PUNCT
ejpam-6292	397	6	1927	1927	NUM
ejpam-6292	397	7	.	.	PUNCT
ejpam-6292	398	1	[	[	X
ejpam-6292	398	2	2	2	NUM
ejpam-6292	398	3	]	]	X
ejpam-6292	398	4	a.v	a.v	PROPN
ejpam-6292	398	5	.	.	PROPN
ejpam-6292	398	6	arundel	arundel	PROPN
ejpam-6292	398	7	,	,	PUNCT
ejpam-6292	398	8	e.m	e.m	PROPN
ejpam-6292	398	9	.	.	PROPN
ejpam-6292	398	10	sterling	sterling	PROPN
ejpam-6292	398	11	,	,	PUNCT
ejpam-6292	398	12	j.h	j.h	PROPN
ejpam-6292	398	13	.	.	PROPN
ejpam-6292	398	14	biggin	biggin	PROPN
ejpam-6292	398	15	,	,	PUNCT
ejpam-6292	398	16	and	and	CCONJ
ejpam-6292	398	17	t.d	t.d	PROPN
ejpam-6292	398	18	.	.	PUNCT
ejpam-6292	398	19	sterling	sterling	PROPN
ejpam-6292	398	20	.	.	PUNCT
ejpam-6292	399	1	indirect	indirect	ADJ
ejpam-6292	399	2	health	health	NOUN
ejpam-6292	399	3	effects	effect	NOUN
ejpam-6292	399	4	of	of	ADP
ejpam-6292	399	5	relative	relative	ADJ
ejpam-6292	399	6	humidity	humidity	NOUN
ejpam-6292	399	7	in	in	ADP
ejpam-6292	399	8	indoor	indoor	ADJ
ejpam-6292	399	9	environments	environment	NOUN
ejpam-6292	399	10	.	.	PUNCT
ejpam-6292	400	1	environ	environ	PROPN
ejpam-6292	400	2	.	.	PUNCT
ejpam-6292	400	3	health	health	NOUN
ejpam-6292	400	4	perspect	perspect	NOUN
ejpam-6292	400	5	.	.	PUNCT
ejpam-6292	400	6	,	,	PUNCT
ejpam-6292	400	7	65:351–361	65:351–361	NOUN
ejpam-6292	400	8	,	,	PUNCT
ejpam-6292	400	9	1986	1986	NUM
ejpam-6292	400	10	.	.	PUNCT
ejpam-6292	401	1	[	[	X
ejpam-6292	401	2	3	3	X
ejpam-6292	401	3	]	]	X
ejpam-6292	401	4	s.m	s.m	PROPN
ejpam-6292	401	5	.	.	PROPN
ejpam-6292	401	6	minhaz	minhaz	PROPN
ejpam-6292	401	7	ud	ud	PROPN
ejpam-6292	401	8	-	-	PUNCT
ejpam-6292	401	9	dean	dean	PROPN
ejpam-6292	401	10	.	.	PUNCT
ejpam-6292	402	1	structural	structural	ADJ
ejpam-6292	402	2	explanation	explanation	NOUN
ejpam-6292	402	3	for	for	ADP
ejpam-6292	402	4	the	the	DET
ejpam-6292	402	5	effect	effect	NOUN
ejpam-6292	402	6	of	of	ADP
ejpam-6292	402	7	humidity	humidity	NOUN
ejpam-6292	402	8	on	on	ADP
ejpam-6292	402	9	persistence	persistence	NOUN
ejpam-6292	402	10	of	of	ADP
ejpam-6292	402	11	airborne	airborne	ADJ
ejpam-6292	402	12	virus	virus	NOUN
ejpam-6292	402	13	:	:	PUNCT
ejpam-6292	402	14	seasonality	seasonality	NOUN
ejpam-6292	402	15	of	of	ADP
ejpam-6292	402	16	influenza	influenza	NOUN
ejpam-6292	402	17	.	.	PUNCT
ejpam-6292	403	1	j.	j.	PROPN
ejpam-6292	403	2	theoret	theoret	PROPN
ejpam-6292	403	3	.	.	PUNCT
ejpam-6292	404	1	biol	biol	PROPN
ejpam-6292	404	2	.	.	PUNCT
ejpam-6292	404	3	,	,	PUNCT
ejpam-6292	404	4	264:822–829	264:822–829	NUM
ejpam-6292	404	5	,	,	PUNCT
ejpam-6292	404	6	2010	2010	NUM
ejpam-6292	404	7	.	.	PUNCT
ejpam-6292	405	1	[	[	X
ejpam-6292	405	2	4	4	NUM
ejpam-6292	405	3	]	]	X
ejpam-6292	405	4	m.j	m.j	PROPN
ejpam-6292	405	5	.	.	PROPN
ejpam-6292	405	6	keeling	keeling	PROPN
ejpam-6292	405	7	and	and	CCONJ
ejpam-6292	405	8	p.	p.	PROPN
ejpam-6292	405	9	rohani	rohani	PROPN
ejpam-6292	405	10	.	.	PUNCT
ejpam-6292	406	1	modeling	model	VERB
ejpam-6292	406	2	infectious	infectious	ADJ
ejpam-6292	406	3	diseases	disease	NOUN
ejpam-6292	406	4	in	in	ADP
ejpam-6292	406	5	human	human	ADJ
ejpam-6292	406	6	and	and	CCONJ
ejpam-6292	406	7	animals	animal	NOUN
ejpam-6292	406	8	.	.	PUNCT
ejpam-6292	407	1	princeton	princeton	PROPN
ejpam-6292	407	2	university	university	PROPN
ejpam-6292	407	3	press	press	NOUN
ejpam-6292	407	4	,	,	PUNCT
ejpam-6292	407	5	2008	2008	NUM
ejpam-6292	407	6	.	.	PUNCT
ejpam-6292	408	1	[	[	X
ejpam-6292	408	2	5	5	NUM
ejpam-6292	408	3	]	]	X
ejpam-6292	408	4	n.	n.	NOUN
ejpam-6292	408	5	dexter	dexter	PROPN
ejpam-6292	408	6	.	.	PUNCT
ejpam-6292	409	1	stochastic	stochastic	ADJ
ejpam-6292	409	2	models	model	NOUN
ejpam-6292	409	3	of	of	ADP
ejpam-6292	409	4	foot	foot	NOUN
ejpam-6292	409	5	and	and	CCONJ
ejpam-6292	409	6	mouth	mouth	NOUN
ejpam-6292	409	7	disease	disease	NOUN
ejpam-6292	409	8	in	in	ADP
ejpam-6292	409	9	feral	feral	ADJ
ejpam-6292	409	10	pigs	pig	NOUN
ejpam-6292	409	11	in	in	ADP
ejpam-6292	409	12	the	the	DET
ejpam-6292	409	13	australian	australian	ADJ
ejpam-6292	409	14	semi	semi	ADJ
ejpam-6292	409	15	-	-	ADJ
ejpam-6292	409	16	arid	arid	ADJ
ejpam-6292	409	17	rangelands	rangeland	NOUN
ejpam-6292	409	18	.	.	PUNCT
ejpam-6292	410	1	j.	j.	PROPN
ejpam-6292	410	2	appl	appl	PROPN
ejpam-6292	410	3	.	.	PUNCT
ejpam-6292	411	1	ecol	ecol	PROPN
ejpam-6292	411	2	.	.	PUNCT
ejpam-6292	411	3	,	,	PUNCT
ejpam-6292	412	1	40:293–306	40:293–306	PROPN
ejpam-6292	412	2	,	,	PUNCT
ejpam-6292	412	3	2003	2003	NUM
ejpam-6292	412	4	.	.	PUNCT
ejpam-6292	413	1	[	[	X
ejpam-6292	413	2	6	6	NUM
ejpam-6292	413	3	]	]	PUNCT
ejpam-6292	413	4	m.	m.	NOUN
ejpam-6292	413	5	liu	liu	PROPN
ejpam-6292	413	6	and	and	CCONJ
ejpam-6292	413	7	k.	k.	PROPN
ejpam-6292	413	8	wang	wang	PROPN
ejpam-6292	413	9	.	.	PUNCT
ejpam-6292	414	1	persistence	persistence	NOUN
ejpam-6292	414	2	and	and	CCONJ
ejpam-6292	414	3	extinction	extinction	NOUN
ejpam-6292	414	4	of	of	ADP
ejpam-6292	414	5	a	a	DET
ejpam-6292	414	6	stochastic	stochastic	ADJ
ejpam-6292	414	7	single	single	ADJ
ejpam-6292	414	8	-	-	PUNCT
ejpam-6292	414	9	specie	specie	NOUN
ejpam-6292	414	10	model	model	NOUN
ejpam-6292	414	11	under	under	ADP
ejpam-6292	414	12	regime	regime	NOUN
ejpam-6292	414	13	switching	switch	VERB
ejpam-6292	414	14	in	in	ADP
ejpam-6292	414	15	a	a	DET
ejpam-6292	414	16	polluted	polluted	ADJ
ejpam-6292	414	17	environment	environment	NOUN
ejpam-6292	414	18	.	.	PUNCT
ejpam-6292	415	1	j.	j.	PROPN
ejpam-6292	415	2	theor	theor	PROPN
ejpam-6292	415	3	.	.	PUNCT
ejpam-6292	416	1	biol	biol	PROPN
ejpam-6292	416	2	.	.	PUNCT
ejpam-6292	416	3	,	,	PUNCT
ejpam-6292	416	4	264:934–944	264:934–944	NUM
ejpam-6292	416	5	,	,	PUNCT
ejpam-6292	416	6	2010	2010	NUM
ejpam-6292	416	7	.	.	PUNCT
ejpam-6292	417	1	[	[	X
ejpam-6292	417	2	7	7	NUM
ejpam-6292	417	3	]	]	PUNCT
ejpam-6292	417	4	a.	a.	NOUN
ejpam-6292	417	5	gray	gray	PROPN
ejpam-6292	417	6	,	,	PUNCT
ejpam-6292	417	7	d.	d.	PROPN
ejpam-6292	417	8	greenhalgh	greenhalgh	PROPN
ejpam-6292	417	9	,	,	PUNCT
ejpam-6292	417	10	x.	x.	PROPN
ejpam-6292	417	11	mao	mao	PROPN
ejpam-6292	417	12	,	,	PUNCT
ejpam-6292	417	13	and	and	CCONJ
ejpam-6292	417	14	j.	j.	PROPN
ejpam-6292	417	15	pan	pan	PROPN
ejpam-6292	417	16	.	.	PUNCT
ejpam-6292	418	1	the	the	DET
ejpam-6292	418	2	sis	sis	PROPN
ejpam-6292	418	3	epidemic	epidemic	NOUN
ejpam-6292	418	4	model	model	NOUN
ejpam-6292	418	5	with	with	ADP
ejpam-6292	418	6	markovian	markovian	PROPN
ejpam-6292	418	7	switching	switching	NOUN
ejpam-6292	418	8	.	.	PUNCT
ejpam-6292	419	1	j.	j.	PROPN
ejpam-6292	419	2	math	math	PROPN
ejpam-6292	419	3	.	.	PUNCT
ejpam-6292	420	1	anal	anal	PROPN
ejpam-6292	420	2	.	.	PUNCT
ejpam-6292	421	1	appl	appl	PROPN
ejpam-6292	421	2	.	.	PROPN
ejpam-6292	421	3	,	,	PUNCT
ejpam-6292	421	4	394:496–516	394:496–516	NUM
ejpam-6292	421	5	,	,	PUNCT
ejpam-6292	421	6	2012	2012	NUM
ejpam-6292	421	7	.	.	PUNCT
ejpam-6292	422	1	[	[	X
ejpam-6292	422	2	8	8	X
ejpam-6292	422	3	]	]	PUNCT
ejpam-6292	422	4	j.	j.	PROPN
ejpam-6292	422	5	bao	bao	PROPN
ejpam-6292	422	6	and	and	CCONJ
ejpam-6292	422	7	j.	j.	PROPN
ejpam-6292	422	8	shao	shao	PROPN
ejpam-6292	422	9	.	.	PUNCT
ejpam-6292	423	1	permanence	permanence	NOUN
ejpam-6292	423	2	and	and	CCONJ
ejpam-6292	423	3	extinction	extinction	NOUN
ejpam-6292	423	4	of	of	ADP
ejpam-6292	423	5	regime	regime	NOUN
ejpam-6292	423	6	-	-	PUNCT
ejpam-6292	423	7	switching	switch	VERB
ejpam-6292	423	8	predator	predator	NOUN
ejpam-6292	423	9	-	-	PUNCT
ejpam-6292	423	10	prey	prey	NOUN
ejpam-6292	423	11	models	model	NOUN
ejpam-6292	423	12	.	.	PUNCT
ejpam-6292	424	1	siam	siam	PROPN
ejpam-6292	424	2	j.	j.	PROPN
ejpam-6292	424	3	math	math	PROPN
ejpam-6292	424	4	.	.	PUNCT
ejpam-6292	425	1	anal	anal	PROPN
ejpam-6292	425	2	.	.	PROPN
ejpam-6292	425	3	,	,	PUNCT
ejpam-6292	425	4	48:725–739	48:725–739	PROPN
ejpam-6292	425	5	,	,	PUNCT
ejpam-6292	425	6	2016	2016	NUM
ejpam-6292	425	7	.	.	PUNCT
ejpam-6292	426	1	[	[	X
ejpam-6292	426	2	9	9	NUM
ejpam-6292	426	3	]	]	PUNCT
ejpam-6292	426	4	x.	x.	NOUN
ejpam-6292	426	5	mao	mao	PROPN
ejpam-6292	426	6	.	.	PUNCT
ejpam-6292	427	1	stochastic	stochastic	ADJ
ejpam-6292	427	2	differential	differential	ADJ
ejpam-6292	427	3	equations	equation	NOUN
ejpam-6292	427	4	and	and	CCONJ
ejpam-6292	427	5	applications	application	NOUN
ejpam-6292	427	6	.	.	PUNCT
ejpam-6292	428	1	elsevier	elsevier	NOUN
ejpam-6292	428	2	,	,	PUNCT
ejpam-6292	428	3	2007	2007	NUM
ejpam-6292	428	4	.	.	PUNCT
ejpam-6292	429	1	[	[	X
ejpam-6292	429	2	10	10	NUM
ejpam-6292	429	3	]	]	X
ejpam-6292	429	4	n.	n.	NOUN
ejpam-6292	429	5	bacar	bacar	NOUN
ejpam-6292	429	6	and	and	CCONJ
ejpam-6292	429	7	m.	m.	NOUN
ejpam-6292	429	8	khaladi	khaladi	PROPN
ejpam-6292	429	9	.	.	PUNCT
ejpam-6292	430	1	on	on	ADP
ejpam-6292	430	2	the	the	DET
ejpam-6292	430	3	basic	basic	ADJ
ejpam-6292	430	4	reproduction	reproduction	NOUN
ejpam-6292	430	5	number	number	NOUN
ejpam-6292	430	6	in	in	ADP
ejpam-6292	430	7	a	a	DET
ejpam-6292	430	8	random	random	ADJ
ejpam-6292	430	9	environment	environment	NOUN
ejpam-6292	430	10	.	.	PUNCT
ejpam-6292	431	1	j.	j.	PROPN
ejpam-6292	431	2	math	math	PROPN
ejpam-6292	431	3	.	.	PUNCT
ejpam-6292	432	1	biol	biol	PROPN
ejpam-6292	432	2	.	.	PUNCT
ejpam-6292	432	3	,	,	PUNCT
ejpam-6292	432	4	67:1729–1739	67:1729–1739	PROPN
ejpam-6292	432	5	,	,	PUNCT
ejpam-6292	432	6	2013	2013	NUM
ejpam-6292	432	7	.	.	PUNCT
ejpam-6292	433	1	[	[	X
ejpam-6292	433	2	11	11	NUM
ejpam-6292	433	3	]	]	X
ejpam-6292	433	4	n.	n.	NOUN
ejpam-6292	433	5	bacar	bacar	NOUN
ejpam-6292	433	6	and	and	CCONJ
ejpam-6292	433	7	a.	a.	NOUN
ejpam-6292	433	8	ed	ed	NOUN
ejpam-6292	433	9	-	-	PUNCT
ejpam-6292	433	10	darraz	darraz	NOUN
ejpam-6292	433	11	.	.	PUNCT
ejpam-6292	434	1	on	on	ADP
ejpam-6292	434	2	linear	linear	ADJ
ejpam-6292	434	3	birth	birth	NOUN
ejpam-6292	434	4	-	-	PUNCT
ejpam-6292	434	5	and	and	CCONJ
ejpam-6292	434	6	-	-	PUNCT
ejpam-6292	434	7	death	death	NOUN
ejpam-6292	434	8	processes	process	NOUN
ejpam-6292	434	9	in	in	ADP
ejpam-6292	434	10	a	a	DET
ejpam-6292	434	11	random	random	ADJ
ejpam-6292	434	12	environment	environment	NOUN
ejpam-6292	434	13	.	.	PUNCT
ejpam-6292	435	1	j.	j.	PROPN
ejpam-6292	435	2	math	math	PROPN
ejpam-6292	435	3	.	.	PUNCT
ejpam-6292	436	1	biol	biol	PROPN
ejpam-6292	436	2	.	.	PUNCT
ejpam-6292	436	3	,	,	PUNCT
ejpam-6292	436	4	69:73–90	69:73–90	PROPN
ejpam-6292	436	5	,	,	PUNCT
ejpam-6292	436	6	2014	2014	NUM
ejpam-6292	436	7	.	.	PUNCT
ejpam-6292	437	1	[	[	X
ejpam-6292	437	2	12	12	NUM
ejpam-6292	437	3	]	]	X
ejpam-6292	437	4	s.u	s.u	PROPN
ejpam-6292	437	5	.	.	PROPN
ejpam-6292	437	6	khan	khan	PROPN
ejpam-6292	437	7	and	and	CCONJ
ejpam-6292	437	8	i.	i.	PROPN
ejpam-6292	437	9	ali	ali	PROPN
ejpam-6292	437	10	.	.	PUNCT
ejpam-6292	438	1	application	application	PROPN
ejpam-6292	438	2	of	of	ADP
ejpam-6292	438	3	legendre	legendre	PROPN
ejpam-6292	438	4	spectral	spectral	ADJ
ejpam-6292	438	5	-	-	PUNCT
ejpam-6292	438	6	collocation	collocation	NOUN
ejpam-6292	438	7	method	method	NOUN
ejpam-6292	438	8	to	to	PART
ejpam-6292	438	9	delay	delay	VERB
ejpam-6292	438	10	differential	differential	ADJ
ejpam-6292	438	11	and	and	CCONJ
ejpam-6292	438	12	stochastic	stochastic	ADJ
ejpam-6292	438	13	delay	delay	NOUN
ejpam-6292	438	14	differential	differential	NOUN
ejpam-6292	438	15	equation	equation	NOUN
ejpam-6292	438	16	.	.	PUNCT
ejpam-6292	439	1	aip	aip	PROPN
ejpam-6292	439	2	adv	adv	PROPN
ejpam-6292	439	3	.	.	PROPN
ejpam-6292	439	4	,	,	PUNCT
ejpam-6292	439	5	8:035301	8:035301	NUM
ejpam-6292	439	6	,	,	PUNCT
ejpam-6292	439	7	2008	2008	NUM
ejpam-6292	439	8	.	.	PUNCT
ejpam-6292	440	1	[	[	X
ejpam-6292	440	2	13	13	NUM
ejpam-6292	440	3	]	]	X
ejpam-6292	440	4	s.u	s.u	PROPN
ejpam-6292	440	5	.	.	PROPN
ejpam-6292	440	6	khan	khan	PROPN
ejpam-6292	440	7	,	,	PUNCT
ejpam-6292	440	8	m.	m.	PROPN
ejpam-6292	440	9	ali	ali	PROPN
ejpam-6292	440	10	,	,	PUNCT
ejpam-6292	440	11	and	and	CCONJ
ejpam-6292	440	12	i.	i.	PROPN
ejpam-6292	440	13	ali	ali	PROPN
ejpam-6292	440	14	.	.	PUNCT
ejpam-6292	441	1	a	a	DET
ejpam-6292	441	2	spectral	spectral	ADJ
ejpam-6292	441	3	collocation	collocation	NOUN
ejpam-6292	441	4	method	method	NOUN
ejpam-6292	441	5	for	for	ADP
ejpam-6292	441	6	stochastic	stochastic	ADJ
ejpam-6292	441	7	volterra	volterra	NOUN
ejpam-6292	441	8	integro	integro	PROPN
ejpam-6292	441	9	-	-	PUNCT
ejpam-6292	441	10	differential	differential	NOUN
ejpam-6292	441	11	equations	equation	NOUN
ejpam-6292	441	12	and	and	CCONJ
ejpam-6292	441	13	its	its	PRON
ejpam-6292	441	14	error	error	NOUN
ejpam-6292	441	15	analysis	analysis	NOUN
ejpam-6292	441	16	.	.	PUNCT
ejpam-6292	442	1	j.	j.	PROPN
ejpam-6292	442	2	adv	adv	PROPN
ejpam-6292	442	3	.	.	PROPN
ejpam-6292	442	4	differ	differ	VERB
ejpam-6292	442	5	.	.	PUNCT
ejpam-6292	443	1	equ	equ	PROPN
ejpam-6292	443	2	.	.	PROPN
ejpam-6292	443	3	,	,	PUNCT
ejpam-6292	443	4	1:161	1:161	NUM
ejpam-6292	443	5	,	,	PUNCT
ejpam-6292	443	6	2019	2019	NUM
ejpam-6292	443	7	.	.	PUNCT
ejpam-6292	444	1	[	[	X
ejpam-6292	444	2	14	14	NUM
ejpam-6292	444	3	]	]	X
ejpam-6292	444	4	s.u	s.u	PROPN
ejpam-6292	444	5	.	.	PROPN
ejpam-6292	444	6	khan	khan	PROPN
ejpam-6292	444	7	and	and	CCONJ
ejpam-6292	444	8	i.	i.	PROPN
ejpam-6292	444	9	ali	ali	PROPN
ejpam-6292	444	10	.	.	PROPN
ejpam-6292	445	1	numerical	numerical	ADJ
ejpam-6292	445	2	analysis	analysis	NOUN
ejpam-6292	445	3	of	of	ADP
ejpam-6292	445	4	stochastic	stochastic	ADJ
ejpam-6292	445	5	sir	sir	NOUN
ejpam-6292	445	6	model	model	NOUN
ejpam-6292	445	7	by	by	ADP
ejpam-6292	445	8	legendre	legendre	PROPN
ejpam-6292	445	9	spectral	spectral	ADJ
ejpam-6292	445	10	collocation	collocation	NOUN
ejpam-6292	445	11	method	method	NOUN
ejpam-6292	445	12	.	.	PUNCT
ejpam-6292	446	1	adv	adv	PROPN
ejpam-6292	446	2	.	.	PROPN
ejpam-6292	446	3	mech	mech	PROPN
ejpam-6292	446	4	.	.	PUNCT
ejpam-6292	447	1	eng	eng	PROPN
ejpam-6292	447	2	.	.	PROPN
ejpam-6292	447	3	,	,	PUNCT
ejpam-6292	447	4	11:1–9	11:1–9	NUM
ejpam-6292	447	5	,	,	PUNCT
ejpam-6292	447	6	2019	2019	NUM
ejpam-6292	447	7	.	.	PUNCT
ejpam-6292	448	1	[	[	X
ejpam-6292	448	2	15	15	NUM
ejpam-6292	448	3	]	]	X
ejpam-6292	448	4	m.	m.	NOUN
ejpam-6292	448	5	sohaib	sohaib	PROPN
ejpam-6292	448	6	.	.	PUNCT
ejpam-6292	448	7	mathematical	mathematical	ADJ
ejpam-6292	448	8	modeling	modeling	NOUN
ejpam-6292	448	9	and	and	CCONJ
ejpam-6292	448	10	numerical	numerical	PROPN
ejpam-6292	448	11	simulation	simulation	NOUN
ejpam-6292	448	12	of	of	ADP
ejpam-6292	448	13	hiv	hiv	PROPN
ejpam-6292	448	14	infection	infection	NOUN
ejpam-6292	448	15	model	model	NOUN
ejpam-6292	448	16	.	.	PUNCT
ejpam-6292	449	1	results	result	VERB
ejpam-6292	449	2	appl	appl	PROPN
ejpam-6292	449	3	.	.	PROPN
ejpam-6292	449	4	math	math	PROPN
ejpam-6292	449	5	.	.	PUNCT
ejpam-6292	449	6	,	,	PUNCT
ejpam-6292	449	7	7:100118	7:100118	NUM
ejpam-6292	449	8	,	,	PUNCT
ejpam-6292	449	9	2020	2020	NUM
ejpam-6292	449	10	.	.	PUNCT
ejpam-6292	450	1	[	[	X
ejpam-6292	450	2	16	16	NUM
ejpam-6292	450	3	]	]	X
ejpam-6292	450	4	r.d	r.d	PROPN
ejpam-6292	450	5	.	.	PROPN
ejpam-6292	450	6	attaullah	attaullah	PROPN
ejpam-6292	450	7	and	and	CCONJ
ejpam-6292	450	8	w.	w.	PROPN
ejpam-6292	450	9	weera	weera	PROPN
ejpam-6292	450	10	.	.	PUNCT
ejpam-6292	451	1	galerkin	galerkin	ADJ
ejpam-6292	451	2	time	time	NOUN
ejpam-6292	451	3	discretization	discretization	NOUN
ejpam-6292	451	4	scheme	scheme	NOUN
ejpam-6292	451	5	for	for	ADP
ejpam-6292	451	6	the	the	DET
ejpam-6292	451	7	transmission	transmission	NOUN
ejpam-6292	451	8	dynamics	dynamic	NOUN
ejpam-6292	451	9	of	of	ADP
ejpam-6292	451	10	hiv	hiv	PROPN
ejpam-6292	451	11	infection	infection	NOUN
ejpam-6292	451	12	with	with	ADP
ejpam-6292	451	13	non	non	ADJ
ejpam-6292	451	14	-	-	ADJ
ejpam-6292	451	15	linear	linear	ADJ
ejpam-6292	451	16	supply	supply	NOUN
ejpam-6292	451	17	rate	rate	NOUN
ejpam-6292	451	18	.	.	PUNCT
ejpam-6292	452	1	j.	j.	PROPN
ejpam-6292	452	2	aims	aim	VERB
ejpam-6292	452	3	math	math	PROPN
ejpam-6292	452	4	.	.	PUNCT
ejpam-6292	452	5	,	,	PUNCT
ejpam-6292	452	6	6:11292	6:11292	NUM
ejpam-6292	452	7	–	–	PUNCT
ejpam-6292	452	8	11310	11310	NUM
ejpam-6292	452	9	,	,	PUNCT
ejpam-6292	452	10	2022	2022	NUM
ejpam-6292	452	11	.	.	PUNCT
ejpam-6292	453	1	[	[	X
ejpam-6292	453	2	17	17	NUM
ejpam-6292	453	3	]	]	PUNCT
ejpam-6292	453	4	s.	s.	PROPN
ejpam-6292	453	5	alyobi	alyobi	PROPN
ejpam-6292	453	6	and	and	CCONJ
ejpam-6292	453	7	m.f	m.f	PROPN
ejpam-6292	453	8	.	.	PROPN
ejpam-6292	453	9	yassen	yassen	PROPN
ejpam-6292	453	10	.	.	PUNCT
ejpam-6292	454	1	a	a	DET
ejpam-6292	454	2	study	study	NOUN
ejpam-6292	454	3	on	on	ADP
ejpam-6292	454	4	the	the	DET
ejpam-6292	454	5	transmission	transmission	NOUN
ejpam-6292	454	6	and	and	CCONJ
ejpam-6292	454	7	dynamical	dynamical	ADJ
ejpam-6292	454	8	behavior	behavior	NOUN
ejpam-6292	454	9	of	of	ADP
ejpam-6292	454	10	an	an	DET
ejpam-6292	454	11	hiv	hiv	PROPN
ejpam-6292	454	12	/	/	SYM
ejpam-6292	454	13	aids	aids	PROPN
ejpam-6292	454	14	epidemic	epidemic	NOUN
ejpam-6292	454	15	model	model	NOUN
ejpam-6292	454	16	with	with	ADP
ejpam-6292	454	17	a	a	DET
ejpam-6292	454	18	cure	cure	NOUN
ejpam-6292	454	19	rate	rate	NOUN
ejpam-6292	454	20	.	.	PUNCT
ejpam-6292	455	1	aims	aim	VERB
ejpam-6292	455	2	mathematics	mathematic	NOUN
ejpam-6292	455	3	,	,	PUNCT
ejpam-6292	455	4	7(9):17507–17528	7(9):17507–17528	PROPN
ejpam-6292	455	5	,	,	PUNCT
ejpam-6292	455	6	2022	2022	NUM
ejpam-6292	455	7	.	.	PUNCT
ejpam-6292	456	1	[	[	X
ejpam-6292	456	2	18	18	NUM
ejpam-6292	456	3	]	]	X
ejpam-6292	456	4	r.	r.	PROPN
ejpam-6292	456	5	jan	jan	PROPN
ejpam-6292	456	6	and	and	CCONJ
ejpam-6292	456	7	ş.	ş.	PROPN
ejpam-6292	456	8	yüzbaşı	yüzbaşı	NOUN
ejpam-6292	456	9	.	.	PUNCT
ejpam-6292	457	1	dynamical	dynamical	ADJ
ejpam-6292	457	2	behaviour	behaviour	NOUN
ejpam-6292	457	3	of	of	ADP
ejpam-6292	457	4	hiv	hiv	PROPN
ejpam-6292	457	5	infection	infection	NOUN
ejpam-6292	457	6	with	with	ADP
ejpam-6292	457	7	the	the	DET
ejpam-6292	457	8	influence	influence	NOUN
ejpam-6292	457	9	of	of	ADP
ejpam-6292	457	10	variable	variable	ADJ
ejpam-6292	457	11	source	source	NOUN
ejpam-6292	457	12	term	term	NOUN
ejpam-6292	457	13	through	through	ADP
ejpam-6292	457	14	galerkin	galerkin	ADJ
ejpam-6292	457	15	method	method	NOUN
ejpam-6292	457	16	.	.	PUNCT
ejpam-6292	458	1	chaos	chaos	NOUN
ejpam-6292	458	2	,	,	PUNCT
ejpam-6292	458	3	solitons	soliton	NOUN
ejpam-6292	458	4	&	&	CCONJ
ejpam-6292	458	5	fractals	fractal	NOUN
ejpam-6292	458	6	,	,	PUNCT
ejpam-6292	458	7	152:111429	152:111429	NUM
ejpam-6292	458	8	,	,	PUNCT
ejpam-6292	458	9	2021	2021	NUM
ejpam-6292	458	10	.	.	PUNCT
ejpam-6292	459	1	[	[	X
ejpam-6292	459	2	19	19	NUM
ejpam-6292	459	3	]	]	SYM
ejpam-6292	459	4	n.t	n.t	PROPN
ejpam-6292	459	5	.	.	PROPN
ejpam-6292	459	6	hieu	hieu	PROPN
ejpam-6292	459	7	,	,	PUNCT
ejpam-6292	459	8	n.h	n.h	PROPN
ejpam-6292	459	9	.	.	PROPN
ejpam-6292	459	10	du	du	PROPN
ejpam-6292	459	11	,	,	PUNCT
ejpam-6292	459	12	p.	p.	NOUN
ejpam-6292	459	13	auger	auger	NOUN
ejpam-6292	459	14	,	,	PUNCT
ejpam-6292	459	15	and	and	CCONJ
ejpam-6292	459	16	n.h	n.h	PROPN
ejpam-6292	459	17	.	.	PUNCT
ejpam-6292	460	1	dang	dang	PROPN
ejpam-6292	460	2	.	.	PUNCT
ejpam-6292	461	1	dynamical	dynamical	ADJ
ejpam-6292	461	2	behavior	behavior	NOUN
ejpam-6292	461	3	of	of	ADP
ejpam-6292	461	4	a	a	DET
ejpam-6292	461	5	stochastic	stochastic	ADJ
ejpam-6292	461	6	sirs	sir	NOUN
ejpam-6292	461	7	epidemic	epidemic	NOUN
ejpam-6292	461	8	model	model	NOUN
ejpam-6292	461	9	.	.	PUNCT
ejpam-6292	462	1	math	math	PROPN
ejpam-6292	462	2	.	.	PUNCT
ejpam-6292	463	1	model	model	PROPN
ejpam-6292	463	2	.	.	PUNCT
ejpam-6292	464	1	nat	nat	PROPN
ejpam-6292	464	2	.	.	PUNCT
ejpam-6292	465	1	phenom	phenom	PROPN
ejpam-6292	465	2	.	.	PUNCT
ejpam-6292	465	3	,	,	PUNCT
ejpam-6292	465	4	10:56–73	10:56–73	NUM
ejpam-6292	465	5	,	,	PUNCT
ejpam-6292	465	6	2015	2015	NUM
ejpam-6292	465	7	.	.	PUNCT
ejpam-6292	466	1	m.	m.	PROPN
ejpam-6292	466	2	s.	s.	PROPN
ejpam-6292	466	3	arif	arif	PROPN
ejpam-6292	466	4	,	,	PUNCT
ejpam-6292	466	5	k.	k.	PROPN
ejpam-6292	466	6	abodayeh	abodayeh	PROPN
ejpam-6292	466	7	,	,	PUNCT
ejpam-6292	466	8	y.	y.	NOUN
ejpam-6292	466	9	nawaz	nawaz	PROPN
ejpam-6292	466	10	/	/	SYM
ejpam-6292	466	11	eur	eur	PROPN
ejpam-6292	466	12	.	.	PUNCT
ejpam-6292	467	1	j.	j.	PROPN
ejpam-6292	467	2	pure	pure	PROPN
ejpam-6292	467	3	appl	appl	PROPN
ejpam-6292	467	4	.	.	PROPN
ejpam-6292	467	5	math	math	PROPN
ejpam-6292	467	6	,	,	PUNCT
ejpam-6292	467	7	18	18	NUM
ejpam-6292	467	8	(	(	PUNCT
ejpam-6292	467	9	3	3	NUM
ejpam-6292	467	10	)	)	PUNCT
ejpam-6292	467	11	(	(	PUNCT
ejpam-6292	467	12	2025	2025	NUM
ejpam-6292	467	13	)	)	PUNCT
ejpam-6292	467	14	,	,	PUNCT
ejpam-6292	467	15	6292	6292	NUM
ejpam-6292	467	16	23	23	NUM
ejpam-6292	467	17	of	of	ADP
ejpam-6292	467	18	24	24	NUM
ejpam-6292	467	19	[	[	SYM
ejpam-6292	467	20	20	20	NUM
ejpam-6292	467	21	]	]	X
ejpam-6292	467	22	r.	r.	PROPN
ejpam-6292	467	23	din	din	PROPN
ejpam-6292	467	24	and	and	CCONJ
ejpam-6292	467	25	e.a	e.a	PROPN
ejpam-6292	467	26	.	.	PROPN
ejpam-6292	467	27	algehyne	algehyne	PROPN
ejpam-6292	467	28	.	.	PUNCT
ejpam-6292	468	1	mathematical	mathematical	ADJ
ejpam-6292	468	2	analysis	analysis	NOUN
ejpam-6292	468	3	of	of	ADP
ejpam-6292	468	4	covid-19	covid-19	PROPN
ejpam-6292	468	5	by	by	ADP
ejpam-6292	468	6	using	use	VERB
ejpam-6292	468	7	sir	sir	PROPN
ejpam-6292	468	8	model	model	NOUN
ejpam-6292	468	9	with	with	ADP
ejpam-6292	468	10	convex	convex	ADJ
ejpam-6292	468	11	incidence	incidence	NOUN
ejpam-6292	468	12	rate	rate	NOUN
ejpam-6292	468	13	.	.	PUNCT
ejpam-6292	469	1	results	result	VERB
ejpam-6292	469	2	phys	phy	NOUN
ejpam-6292	469	3	.	.	PUNCT
ejpam-6292	469	4	,	,	PUNCT
ejpam-6292	469	5	23:103970	23:103970	NUM
ejpam-6292	469	6	,	,	PUNCT
ejpam-6292	469	7	2021	2021	NUM
ejpam-6292	469	8	.	.	PUNCT
ejpam-6292	470	1	[	[	X
ejpam-6292	470	2	21	21	NUM
ejpam-6292	470	3	]	]	X
ejpam-6292	470	4	y.m	y.m	PROPN
ejpam-6292	470	5	.	.	PROPN
ejpam-6292	470	6	chu	chu	PROPN
ejpam-6292	470	7	,	,	PUNCT
ejpam-6292	470	8	a.	a.	PROPN
ejpam-6292	470	9	ali	ali	PROPN
ejpam-6292	470	10	,	,	PUNCT
ejpam-6292	470	11	m.a	m.a	PROPN
ejpam-6292	470	12	.	.	PROPN
ejpam-6292	470	13	khan	khan	PROPN
ejpam-6292	470	14	,	,	PUNCT
ejpam-6292	470	15	s.	s.	PROPN
ejpam-6292	470	16	islam	islam	PROPN
ejpam-6292	470	17	,	,	PUNCT
ejpam-6292	470	18	and	and	CCONJ
ejpam-6292	470	19	s.	s.	PROPN
ejpam-6292	470	20	ullah	ullah	PROPN
ejpam-6292	470	21	.	.	PUNCT
ejpam-6292	470	22	dynamics	dynamic	NOUN
ejpam-6292	470	23	of	of	ADP
ejpam-6292	470	24	fractional	fractional	ADJ
ejpam-6292	470	25	order	order	NOUN
ejpam-6292	470	26	covid-19	covid-19	PROPN
ejpam-6292	470	27	model	model	NOUN
ejpam-6292	470	28	with	with	ADP
ejpam-6292	470	29	a	a	DET
ejpam-6292	470	30	case	case	NOUN
ejpam-6292	470	31	study	study	NOUN
ejpam-6292	470	32	of	of	ADP
ejpam-6292	470	33	saudi	saudi	PROPN
ejpam-6292	470	34	arabia	arabia	PROPN
ejpam-6292	470	35	.	.	PUNCT
ejpam-6292	471	1	results	result	VERB
ejpam-6292	471	2	phys	phy	NOUN
ejpam-6292	471	3	.	.	PUNCT
ejpam-6292	471	4	,	,	PUNCT
ejpam-6292	471	5	21:103787	21:103787	NUM
ejpam-6292	471	6	,	,	PUNCT
ejpam-6292	471	7	2021	2021	NUM
ejpam-6292	471	8	.	.	PUNCT
ejpam-6292	472	1	[	[	X
ejpam-6292	472	2	22	22	NUM
ejpam-6292	472	3	]	]	PUNCT
ejpam-6292	472	4	a.	a.	NOUN
ejpam-6292	472	5	atangana	atangana	PROPN
ejpam-6292	472	6	and	and	CCONJ
ejpam-6292	472	7	s.i	s.i	PROPN
ejpam-6292	472	8	.	.	PROPN
ejpam-6292	472	9	araz	araz	PROPN
ejpam-6292	472	10	.	.	PUNCT
ejpam-6292	473	1	new	new	ADJ
ejpam-6292	473	2	concept	concept	NOUN
ejpam-6292	473	3	in	in	ADP
ejpam-6292	473	4	calculus	calculus	NOUN
ejpam-6292	473	5	:	:	PUNCT
ejpam-6292	473	6	piecewise	piecewise	NOUN
ejpam-6292	473	7	differential	differential	NOUN
ejpam-6292	473	8	and	and	CCONJ
ejpam-6292	473	9	integral	integral	ADJ
ejpam-6292	473	10	operators	operator	NOUN
ejpam-6292	473	11	.	.	PUNCT
ejpam-6292	474	1	chaos	chaos	NOUN
ejpam-6292	474	2	solitons	soliton	NOUN
ejpam-6292	474	3	fractals	fractal	NOUN
ejpam-6292	474	4	,	,	PUNCT
ejpam-6292	474	5	145:110638	145:110638	NUM
ejpam-6292	474	6	,	,	PUNCT
ejpam-6292	474	7	2021	2021	NUM
ejpam-6292	474	8	.	.	PUNCT
ejpam-6292	475	1	[	[	X
ejpam-6292	475	2	23	23	NUM
ejpam-6292	475	3	]	]	PUNCT
ejpam-6292	475	4	a.	a.	NOUN
ejpam-6292	475	5	atangana	atangana	PROPN
ejpam-6292	475	6	and	and	CCONJ
ejpam-6292	475	7	s.i	s.i	PROPN
ejpam-6292	475	8	.	.	PROPN
ejpam-6292	475	9	araz	araz	PROPN
ejpam-6292	475	10	.	.	PUNCT
ejpam-6292	476	1	modeling	model	VERB
ejpam-6292	476	2	third	third	ADJ
ejpam-6292	476	3	waves	wave	NOUN
ejpam-6292	476	4	of	of	ADP
ejpam-6292	476	5	covid-19	covid-19	PROPN
ejpam-6292	476	6	spread	spread	VERB
ejpam-6292	476	7	with	with	ADP
ejpam-6292	476	8	piecewise	piecewise	NOUN
ejpam-6292	476	9	differential	differential	NOUN
ejpam-6292	476	10	and	and	CCONJ
ejpam-6292	476	11	integral	integral	ADJ
ejpam-6292	476	12	operators	operator	NOUN
ejpam-6292	476	13	.	.	PUNCT
ejpam-6292	477	1	turkey	turkey	PROPN
ejpam-6292	477	2	,	,	PUNCT
ejpam-6292	477	3	spain	spain	PROPN
ejpam-6292	477	4	and	and	CCONJ
ejpam-6292	477	5	czechia	czechia	PROPN
ejpam-6292	477	6	.	.	PUNCT
ejpam-6292	478	1	medrxiv	medrxiv	X
ejpam-6292	478	2	,	,	PUNCT
ejpam-6292	478	3	2021	2021	NUM
ejpam-6292	478	4	.	.	PUNCT
ejpam-6292	479	1	[	[	X
ejpam-6292	479	2	24	24	NUM
ejpam-6292	479	3	]	]	PUNCT
ejpam-6292	479	4	m.	m.	NOUN
ejpam-6292	479	5	rahman	rahman	PROPN
ejpam-6292	479	6	,	,	PUNCT
ejpam-6292	479	7	m.	m.	NOUN
ejpam-6292	479	8	arfan	arfan	PROPN
ejpam-6292	479	9	,	,	PUNCT
ejpam-6292	479	10	k.	k.	PROPN
ejpam-6292	479	11	shah	shah	PROPN
ejpam-6292	479	12	,	,	PUNCT
ejpam-6292	479	13	and	and	CCONJ
ejpam-6292	479	14	j.f	j.f	PROPN
ejpam-6292	479	15	.	.	PROPN
ejpam-6292	479	16	gómez	gómez	NOUN
ejpam-6292	479	17	-	-	PUNCT
ejpam-6292	479	18	aguilar	aguilar	ADJ
ejpam-6292	479	19	.	.	PUNCT
ejpam-6292	480	1	investigating	investigate	VERB
ejpam-6292	480	2	a	a	DET
ejpam-6292	480	3	non	non	ADJ
ejpam-6292	480	4	-	-	ADJ
ejpam-6292	480	5	linear	linear	ADJ
ejpam-6292	480	6	dynamical	dynamical	ADJ
ejpam-6292	480	7	model	model	NOUN
ejpam-6292	480	8	of	of	ADP
ejpam-6292	480	9	covid-19	covid-19	PROPN
ejpam-6292	480	10	disease	disease	NOUN
ejpam-6292	480	11	under	under	ADP
ejpam-6292	480	12	fuzzy	fuzzy	ADJ
ejpam-6292	480	13	caputo	caputo	PROPN
ejpam-6292	480	14	,	,	PUNCT
ejpam-6292	480	15	random	random	ADJ
ejpam-6292	480	16	and	and	CCONJ
ejpam-6292	480	17	abc	abc	PROPN
ejpam-6292	480	18	fractional	fractional	PROPN
ejpam-6292	480	19	order	order	NOUN
ejpam-6292	480	20	derivative	derivative	NOUN
ejpam-6292	480	21	.	.	PUNCT
ejpam-6292	481	1	chaos	chaos	NOUN
ejpam-6292	481	2	solitons	soliton	NOUN
ejpam-6292	481	3	fractals	fractal	NOUN
ejpam-6292	481	4	,	,	PUNCT
ejpam-6292	481	5	140:110232	140:110232	NUM
ejpam-6292	481	6	,	,	PUNCT
ejpam-6292	481	7	2020	2020	NUM
ejpam-6292	481	8	.	.	PUNCT
ejpam-6292	482	1	[	[	X
ejpam-6292	482	2	25	25	NUM
ejpam-6292	482	3	]	]	PUNCT
ejpam-6292	482	4	a.	a.	NOUN
ejpam-6292	482	5	el	el	PROPN
ejpam-6292	482	6	koufi	koufi	PROPN
ejpam-6292	482	7	,	,	PUNCT
ejpam-6292	482	8	a.	a.	NOUN
ejpam-6292	482	9	bennar	bennar	NOUN
ejpam-6292	482	10	,	,	PUNCT
ejpam-6292	482	11	n.	n.	PROPN
ejpam-6292	482	12	el	el	PROPN
ejpam-6292	482	13	koufi	koufi	NOUN
ejpam-6292	482	14	,	,	PUNCT
ejpam-6292	482	15	and	and	CCONJ
ejpam-6292	482	16	n.	n.	PROPN
ejpam-6292	482	17	yousfi	yousfi	PROPN
ejpam-6292	482	18	.	.	PUNCT
ejpam-6292	483	1	asymptotic	asymptotic	ADJ
ejpam-6292	483	2	properties	property	NOUN
ejpam-6292	483	3	of	of	ADP
ejpam-6292	483	4	a	a	DET
ejpam-6292	483	5	stochastic	stochastic	ADJ
ejpam-6292	483	6	siqr	siqr	ADJ
ejpam-6292	483	7	epidemic	epidemic	NOUN
ejpam-6292	483	8	model	model	NOUN
ejpam-6292	483	9	with	with	ADP
ejpam-6292	483	10	lévy	lévy	NOUN
ejpam-6292	483	11	jumps	jump	NOUN
ejpam-6292	483	12	and	and	CCONJ
ejpam-6292	483	13	beddington	beddington	PROPN
ejpam-6292	483	14	–	–	PUNCT
ejpam-6292	483	15	deangelis	deangelis	PROPN
ejpam-6292	483	16	incidence	incidence	NOUN
ejpam-6292	483	17	rate	rate	NOUN
ejpam-6292	483	18	.	.	PUNCT
ejpam-6292	484	1	results	result	VERB
ejpam-6292	484	2	phys	phy	NOUN
ejpam-6292	484	3	.	.	PUNCT
ejpam-6292	485	1	,	,	PUNCT
ejpam-6292	485	2	27:104472	27:104472	NUM
ejpam-6292	485	3	,	,	PUNCT
ejpam-6292	485	4	2021	2021	NUM
ejpam-6292	485	5	.	.	PUNCT
ejpam-6292	486	1	[	[	X
ejpam-6292	486	2	26	26	NUM
ejpam-6292	486	3	]	]	X
ejpam-6292	486	4	m.b	m.b	PROPN
ejpam-6292	486	5	.	.	PROPN
ejpam-6292	486	6	matadi	matadi	PROPN
ejpam-6292	486	7	.	.	PUNCT
ejpam-6292	487	1	lie	lie	NOUN
ejpam-6292	487	2	symmetry	symmetry	NOUN
ejpam-6292	487	3	analysis	analysis	NOUN
ejpam-6292	487	4	of	of	ADP
ejpam-6292	487	5	stochastic	stochastic	ADJ
ejpam-6292	487	6	sirs	sir	NOUN
ejpam-6292	487	7	model	model	NOUN
ejpam-6292	487	8	.	.	PUNCT
ejpam-6292	488	1	commun	commun	PROPN
ejpam-6292	488	2	.	.	PUNCT
ejpam-6292	489	1	math	math	NOUN
ejpam-6292	489	2	.	.	PUNCT
ejpam-6292	490	1	biol	biol	PROPN
ejpam-6292	490	2	.	.	PUNCT
ejpam-6292	491	1	neurosci	neurosci	PROPN
ejpam-6292	491	2	.	.	PUNCT
ejpam-6292	491	3	,	,	PUNCT
ejpam-6292	491	4	23:6–9	23:6–9	NOUN
ejpam-6292	491	5	,	,	PUNCT
ejpam-6292	491	6	2019	2019	NUM
ejpam-6292	491	7	.	.	PUNCT
ejpam-6292	492	1	[	[	X
ejpam-6292	492	2	27	27	NUM
ejpam-6292	492	3	]	]	X
ejpam-6292	492	4	r.r	r.r	PROPN
ejpam-6292	492	5	.	.	PROPN
ejpam-6292	492	6	wilkinson	wilkinson	PROPN
ejpam-6292	492	7	,	,	PUNCT
ejpam-6292	492	8	f.g	f.g	PROPN
ejpam-6292	492	9	.	.	PROPN
ejpam-6292	492	10	ball	ball	PROPN
ejpam-6292	492	11	,	,	PUNCT
ejpam-6292	492	12	and	and	CCONJ
ejpam-6292	492	13	k.j	k.j	PROPN
ejpam-6292	492	14	.	.	PROPN
ejpam-6292	492	15	sharkey	sharkey	PROPN
ejpam-6292	492	16	.	.	PUNCT
ejpam-6292	493	1	the	the	DET
ejpam-6292	493	2	relationships	relationship	NOUN
ejpam-6292	493	3	between	between	ADP
ejpam-6292	493	4	message	message	NOUN
ejpam-6292	493	5	passing	passing	NOUN
ejpam-6292	493	6	,	,	PUNCT
ejpam-6292	493	7	pairwise	pairwise	NOUN
ejpam-6292	493	8	,	,	PUNCT
ejpam-6292	493	9	kermack	kermack	NOUN
ejpam-6292	493	10	–	–	PUNCT
ejpam-6292	493	11	mckendrick	mckendrick	NOUN
ejpam-6292	493	12	and	and	CCONJ
ejpam-6292	493	13	stochastic	stochastic	ADJ
ejpam-6292	493	14	sir	sir	NOUN
ejpam-6292	493	15	epidemic	epidemic	NOUN
ejpam-6292	493	16	models	model	NOUN
ejpam-6292	493	17	.	.	PUNCT
ejpam-6292	494	1	j.	j.	PROPN
ejpam-6292	494	2	math	math	PROPN
ejpam-6292	494	3	.	.	PUNCT
ejpam-6292	495	1	biol	biol	PROPN
ejpam-6292	495	2	.	.	PUNCT
ejpam-6292	495	3	,	,	PUNCT
ejpam-6292	496	1	75:1563–1590	75:1563–1590	NUM
ejpam-6292	496	2	,	,	PUNCT
ejpam-6292	496	3	2017	2017	NUM
ejpam-6292	496	4	.	.	PUNCT
ejpam-6292	497	1	[	[	X
ejpam-6292	497	2	28	28	NUM
ejpam-6292	497	3	]	]	X
ejpam-6292	497	4	a.	a.	NOUN
ejpam-6292	497	5	lahrouz	lahrouz	PROPN
ejpam-6292	497	6	and	and	CCONJ
ejpam-6292	497	7	l.	l.	PROPN
ejpam-6292	497	8	omari	omari	PROPN
ejpam-6292	497	9	.	.	PUNCT
ejpam-6292	498	1	extinction	extinction	NOUN
ejpam-6292	498	2	and	and	CCONJ
ejpam-6292	498	3	stationary	stationary	ADJ
ejpam-6292	498	4	distribution	distribution	NOUN
ejpam-6292	498	5	of	of	ADP
ejpam-6292	498	6	a	a	DET
ejpam-6292	498	7	stochastic	stochastic	ADJ
ejpam-6292	498	8	sirs	sir	NOUN
ejpam-6292	498	9	epidemic	epidemic	NOUN
ejpam-6292	498	10	model	model	NOUN
ejpam-6292	498	11	with	with	ADP
ejpam-6292	498	12	non	non	ADJ
ejpam-6292	498	13	-	-	ADJ
ejpam-6292	498	14	linear	linear	ADJ
ejpam-6292	498	15	incidence	incidence	NOUN
ejpam-6292	498	16	.	.	PUNCT
ejpam-6292	499	1	stat	stat	PROPN
ejpam-6292	499	2	.	.	PUNCT
ejpam-6292	500	1	probab	probab	PROPN
ejpam-6292	500	2	.	.	PUNCT
ejpam-6292	501	1	lett	lett	PROPN
ejpam-6292	501	2	.	.	PROPN
ejpam-6292	501	3	,	,	PUNCT
ejpam-6292	501	4	83:960–968	83:960–968	PROPN
ejpam-6292	501	5	,	,	PUNCT
ejpam-6292	501	6	2013	2013	NUM
ejpam-6292	501	7	.	.	PUNCT
ejpam-6292	502	1	[	[	X
ejpam-6292	502	2	29	29	NUM
ejpam-6292	502	3	]	]	X
ejpam-6292	502	4	r.	r.	PROPN
ejpam-6292	502	5	ullah	ullah	PROPN
ejpam-6292	502	6	,	,	PUNCT
ejpam-6292	502	7	m.	m.	NOUN
ejpam-6292	502	8	farooq	farooq	PROPN
ejpam-6292	502	9	,	,	PUNCT
ejpam-6292	502	10	f.	f.	PROPN
ejpam-6292	502	11	faizullah	faizullah	PROPN
ejpam-6292	502	12	,	,	PUNCT
ejpam-6292	502	13	m.a	m.a	PROPN
ejpam-6292	502	14	.	.	PROPN
ejpam-6292	502	15	alghafli	alghafli	NOUN
ejpam-6292	502	16	,	,	PUNCT
ejpam-6292	502	17	and	and	CCONJ
ejpam-6292	502	18	n.	n.	PROPN
ejpam-6292	502	19	mlaiki	mlaiki	PROPN
ejpam-6292	502	20	.	.	PUNCT
ejpam-6292	503	1	fractional	fractional	ADJ
ejpam-6292	503	2	stochastic	stochastic	ADJ
ejpam-6292	503	3	functional	functional	ADJ
ejpam-6292	503	4	differential	differential	ADJ
ejpam-6292	503	5	equations	equation	NOUN
ejpam-6292	503	6	with	with	ADP
ejpam-6292	503	7	non	non	ADJ
ejpam-6292	503	8	-	-	ADJ
ejpam-6292	503	9	lipschitz	lipschitz	ADJ
ejpam-6292	503	10	condition	condition	NOUN
ejpam-6292	503	11	.	.	PUNCT
ejpam-6292	504	1	aims	aim	VERB
ejpam-6292	504	2	mathematics	mathematic	NOUN
ejpam-6292	504	3	,	,	PUNCT
ejpam-6292	504	4	10(3):7127–7143	10(3):7127–7143	NUM
ejpam-6292	504	5	,	,	PUNCT
ejpam-6292	504	6	2025	2025	NUM
ejpam-6292	504	7	.	.	PUNCT
ejpam-6292	505	1	[	[	X
ejpam-6292	505	2	30	30	NUM
ejpam-6292	505	3	]	]	PUNCT
ejpam-6292	505	4	a.	a.	NOUN
ejpam-6292	505	5	alkhazzan	alkhazzan	PROPN
ejpam-6292	505	6	,	,	PUNCT
ejpam-6292	505	7	j.	j.	PROPN
ejpam-6292	505	8	wang	wang	PROPN
ejpam-6292	505	9	,	,	PUNCT
ejpam-6292	505	10	y.	y.	PROPN
ejpam-6292	505	11	nie	nie	PROPN
ejpam-6292	505	12	,	,	PUNCT
ejpam-6292	505	13	s.m.a	s.m.a	PROPN
ejpam-6292	505	14	.	.	PUNCT
ejpam-6292	505	15	shah	shah	PROPN
ejpam-6292	505	16	,	,	PUNCT
ejpam-6292	505	17	d.k	d.k	PROPN
ejpam-6292	505	18	.	.	PROPN
ejpam-6292	505	19	almutairi	almutairi	PROPN
ejpam-6292	505	20	,	,	PUNCT
ejpam-6292	505	21	h.	h.	PROPN
ejpam-6292	505	22	khan	khan	PROPN
ejpam-6292	505	23	,	,	PUNCT
ejpam-6292	505	24	and	and	CCONJ
ejpam-6292	505	25	j.	j.	PROPN
ejpam-6292	505	26	alzabut	alzabut	PROPN
ejpam-6292	505	27	.	.	PUNCT
ejpam-6292	506	1	lyapunov	lyapunov	NOUN
ejpam-6292	506	2	-	-	PUNCT
ejpam-6292	506	3	based	base	VERB
ejpam-6292	506	4	analysis	analysis	NOUN
ejpam-6292	506	5	and	and	CCONJ
ejpam-6292	506	6	worm	worm	NOUN
ejpam-6292	506	7	extinction	extinction	NOUN
ejpam-6292	506	8	in	in	ADP
ejpam-6292	506	9	wireless	wireless	ADJ
ejpam-6292	506	10	networks	network	NOUN
ejpam-6292	506	11	using	use	VERB
ejpam-6292	506	12	stochastic	stochastic	ADJ
ejpam-6292	506	13	sveir	sveir	ADJ
ejpam-6292	506	14	model	model	NOUN
ejpam-6292	506	15	.	.	PUNCT
ejpam-6292	507	1	alexandria	alexandria	PROPN
ejpam-6292	507	2	engineering	engineering	PROPN
ejpam-6292	507	3	journal	journal	PROPN
ejpam-6292	507	4	,	,	PUNCT
ejpam-6292	507	5	118:337–353	118:337–353	NUM
ejpam-6292	507	6	,	,	PUNCT
ejpam-6292	507	7	2025	2025	NUM
ejpam-6292	507	8	.	.	PUNCT
ejpam-6292	508	1	[	[	X
ejpam-6292	508	2	31	31	NUM
ejpam-6292	508	3	]	]	PUNCT
ejpam-6292	508	4	h.	h.	PROPN
ejpam-6292	508	5	tahir	tahir	PROPN
ejpam-6292	508	6	,	,	PUNCT
ejpam-6292	508	7	a.	a.	PROPN
ejpam-6292	508	8	din	din	PROPN
ejpam-6292	508	9	,	,	PUNCT
ejpam-6292	508	10	k.	k.	PROPN
ejpam-6292	508	11	shah	shah	PROPN
ejpam-6292	508	12	,	,	PUNCT
ejpam-6292	508	13	b.	b.	PROPN
ejpam-6292	508	14	abdalla	abdalla	PROPN
ejpam-6292	508	15	,	,	PUNCT
ejpam-6292	508	16	and	and	CCONJ
ejpam-6292	508	17	t.	t.	PROPN
ejpam-6292	508	18	abdeljawad	abdeljawad	NOUN
ejpam-6292	508	19	.	.	PUNCT
ejpam-6292	509	1	advances	advance	NOUN
ejpam-6292	509	2	in	in	ADP
ejpam-6292	509	3	stochastic	stochastic	ADJ
ejpam-6292	509	4	epidemic	epidemic	NOUN
ejpam-6292	509	5	modeling	modeling	NOUN
ejpam-6292	509	6	:	:	PUNCT
ejpam-6292	509	7	tackling	tackle	VERB
ejpam-6292	509	8	worm	worm	NOUN
ejpam-6292	509	9	transmission	transmission	NOUN
ejpam-6292	509	10	in	in	ADP
ejpam-6292	509	11	wireless	wireless	ADJ
ejpam-6292	509	12	sensor	sensor	NOUN
ejpam-6292	509	13	networks	network	NOUN
ejpam-6292	509	14	.	.	PUNCT
ejpam-6292	510	1	mathematical	mathematical	ADJ
ejpam-6292	510	2	and	and	CCONJ
ejpam-6292	510	3	computer	computer	NOUN
ejpam-6292	510	4	modelling	modelling	NOUN
ejpam-6292	510	5	of	of	ADP
ejpam-6292	510	6	dynamical	dynamical	ADJ
ejpam-6292	510	7	systems	system	NOUN
ejpam-6292	510	8	,	,	PUNCT
ejpam-6292	510	9	30(1):658–682	30(1):658–682	ADV
ejpam-6292	510	10	,	,	PUNCT
ejpam-6292	510	11	2024	2024	NUM
ejpam-6292	510	12	.	.	PUNCT
ejpam-6292	511	1	[	[	X
ejpam-6292	511	2	32	32	NUM
ejpam-6292	511	3	]	]	X
ejpam-6292	511	4	v.	v.	CCONJ
ejpam-6292	511	5	capasso	capasso	PROPN
ejpam-6292	511	6	.	.	PUNCT
ejpam-6292	512	1	mathematical	mathematical	ADJ
ejpam-6292	512	2	structure	structure	NOUN
ejpam-6292	512	3	of	of	ADP
ejpam-6292	512	4	epidemic	epidemic	NOUN
ejpam-6292	512	5	systems	system	NOUN
ejpam-6292	512	6	,	,	PUNCT
ejpam-6292	512	7	volume	volume	NOUN
ejpam-6292	512	8	97	97	NUM
ejpam-6292	512	9	of	of	ADP
ejpam-6292	512	10	lecture	lecture	NOUN
ejpam-6292	512	11	notes	note	NOUN
ejpam-6292	512	12	in	in	ADP
ejpam-6292	512	13	biomathematics	biomathematic	NOUN
ejpam-6292	512	14	.	.	PUNCT
ejpam-6292	513	1	springer	springer	NOUN
ejpam-6292	513	2	,	,	PUNCT
ejpam-6292	513	3	berlin	berlin	PROPN
ejpam-6292	513	4	,	,	PUNCT
ejpam-6292	513	5	germany	germany	PROPN
ejpam-6292	513	6	,	,	PUNCT
ejpam-6292	513	7	1993	1993	NUM
ejpam-6292	513	8	.	.	PUNCT
ejpam-6292	514	1	[	[	X
ejpam-6292	514	2	33	33	NUM
ejpam-6292	514	3	]	]	PUNCT
ejpam-6292	514	4	b.	b.	PROPN
ejpam-6292	514	5	k.	k.	PROPN
ejpam-6292	514	6	mishra	mishra	PROPN
ejpam-6292	514	7	and	and	CCONJ
ejpam-6292	514	8	a.	a.	PROPN
ejpam-6292	514	9	prajapati	prajapati	PROPN
ejpam-6292	514	10	.	.	PUNCT
ejpam-6292	515	1	spread	spread	NOUN
ejpam-6292	515	2	of	of	ADP
ejpam-6292	515	3	malicious	malicious	ADJ
ejpam-6292	515	4	objects	object	NOUN
ejpam-6292	515	5	in	in	ADP
ejpam-6292	515	6	computer	computer	NOUN
ejpam-6292	515	7	network	network	NOUN
ejpam-6292	515	8	:	:	PUNCT
ejpam-6292	515	9	a	a	DET
ejpam-6292	515	10	fuzzy	fuzzy	ADJ
ejpam-6292	515	11	approach	approach	NOUN
ejpam-6292	515	12	.	.	PUNCT
ejpam-6292	516	1	appl	appl	PROPN
ejpam-6292	516	2	.	.	PUNCT
ejpam-6292	517	1	appl	appl	PROPN
ejpam-6292	517	2	.	.	PROPN
ejpam-6292	517	3	math	math	PROPN
ejpam-6292	517	4	.	.	PUNCT
ejpam-6292	518	1	int	int	NOUN
ejpam-6292	518	2	.	.	PUNCT
ejpam-6292	519	1	j.	j.	PROPN
ejpam-6292	519	2	,	,	PUNCT
ejpam-6292	519	3	8:684–700	8:684–700	NUM
ejpam-6292	519	4	,	,	PUNCT
ejpam-6292	519	5	2013	2013	NUM
ejpam-6292	519	6	.	.	PUNCT
ejpam-6292	520	1	[	[	X
ejpam-6292	520	2	34	34	NUM
ejpam-6292	520	3	]	]	PUNCT
ejpam-6292	520	4	t.	t.	PROPN
ejpam-6292	520	5	w.	w.	PROPN
ejpam-6292	520	6	liao	liao	PROPN
ejpam-6292	520	7	.	.	PUNCT
ejpam-6292	521	1	a	a	DET
ejpam-6292	521	2	fuzzy	fuzzy	ADJ
ejpam-6292	521	3	multicriteria	multicriteria	NOUN
ejpam-6292	521	4	decision	decision	NOUN
ejpam-6292	521	5	-	-	PUNCT
ejpam-6292	521	6	making	make	VERB
ejpam-6292	521	7	method	method	NOUN
ejpam-6292	521	8	for	for	ADP
ejpam-6292	521	9	material	material	NOUN
ejpam-6292	521	10	selection	selection	NOUN
ejpam-6292	521	11	.	.	PUNCT
ejpam-6292	522	1	j.	j.	PROPN
ejpam-6292	522	2	manuf	manuf	PROPN
ejpam-6292	522	3	.	.	PUNCT
ejpam-6292	523	1	syst	syst	PROPN
ejpam-6292	523	2	.	.	PROPN
ejpam-6292	523	3	,	,	PUNCT
ejpam-6292	523	4	15:1–12	15:1–12	NUM
ejpam-6292	523	5	,	,	PUNCT
ejpam-6292	523	6	1996	1996	NUM
ejpam-6292	523	7	.	.	PUNCT
ejpam-6292	524	1	[	[	X
ejpam-6292	524	2	35	35	NUM
ejpam-6292	524	3	]	]	PUNCT
ejpam-6292	524	4	m.	m.	NOUN
ejpam-6292	524	5	s.	s.	PROPN
ejpam-6292	524	6	arif	arif	PROPN
ejpam-6292	524	7	.	.	PUNCT
ejpam-6292	525	1	a	a	DET
ejpam-6292	525	2	novel	novel	ADJ
ejpam-6292	525	3	explicit	explicit	ADJ
ejpam-6292	525	4	scheme	scheme	NOUN
ejpam-6292	525	5	for	for	ADP
ejpam-6292	525	6	stochastic	stochastic	ADJ
ejpam-6292	525	7	diffusive	diffusive	ADJ
ejpam-6292	525	8	sis	sis	NOUN
ejpam-6292	525	9	models	model	NOUN
ejpam-6292	525	10	with	with	ADP
ejpam-6292	525	11	treatment	treatment	NOUN
ejpam-6292	525	12	effects	effect	NOUN
ejpam-6292	525	13	.	.	PUNCT
ejpam-6292	526	1	partial	partial	ADJ
ejpam-6292	526	2	differential	differential	ADJ
ejpam-6292	526	3	equations	equation	NOUN
ejpam-6292	526	4	in	in	ADP
ejpam-6292	526	5	applied	applied	ADJ
ejpam-6292	526	6	mathematics	mathematic	NOUN
ejpam-6292	526	7	,	,	PUNCT
ejpam-6292	526	8	page	page	NOUN
ejpam-6292	526	9	101215	101215	NUM
ejpam-6292	526	10	,	,	PUNCT
ejpam-6292	526	11	2025	2025	NUM
ejpam-6292	526	12	.	.	PUNCT
ejpam-6292	527	1	[	[	X
ejpam-6292	527	2	36	36	NUM
ejpam-6292	527	3	]	]	PUNCT
ejpam-6292	527	4	m.	m.	PROPN
ejpam-6292	527	5	s.	s.	PROPN
ejpam-6292	527	6	arif	arif	PROPN
ejpam-6292	527	7	.	.	PUNCT
ejpam-6292	528	1	numerical	numerical	ADJ
ejpam-6292	528	2	analysis	analysis	NOUN
ejpam-6292	528	3	of	of	ADP
ejpam-6292	528	4	deterministic	deterministic	ADJ
ejpam-6292	528	5	and	and	CCONJ
ejpam-6292	528	6	stochastic	stochastic	ADJ
ejpam-6292	528	7	model	model	NOUN
ejpam-6292	528	8	of	of	ADP
ejpam-6292	528	9	covid-19	covid-19	PROPN
ejpam-6292	528	10	co	co	NOUN
ejpam-6292	528	11	-	-	NOUN
ejpam-6292	528	12	infection	infection	NOUN
ejpam-6292	528	13	with	with	ADP
ejpam-6292	528	14	influenza	influenza	NOUN
ejpam-6292	528	15	.	.	PUNCT
ejpam-6292	529	1	european	european	ADJ
ejpam-6292	529	2	journal	journal	PROPN
ejpam-6292	529	3	of	of	ADP
ejpam-6292	529	4	pure	pure	ADJ
ejpam-6292	529	5	and	and	CCONJ
ejpam-6292	529	6	applied	applied	ADJ
ejpam-6292	529	7	mathematics	mathematic	NOUN
ejpam-6292	529	8	,	,	PUNCT
ejpam-6292	529	9	18(2):6005–6005	18(2):6005–6005	NUM
ejpam-6292	529	10	,	,	PUNCT
ejpam-6292	529	11	2025	2025	NUM
ejpam-6292	529	12	.	.	PUNCT
ejpam-6292	530	1	[	[	X
ejpam-6292	530	2	37	37	NUM
ejpam-6292	530	3	]	]	PUNCT
ejpam-6292	530	4	m.	m.	PROPN
ejpam-6292	530	5	s.	s.	PROPN
ejpam-6292	530	6	arif	arif	PROPN
ejpam-6292	530	7	,	,	PUNCT
ejpam-6292	530	8	w.	w.	PROPN
ejpam-6292	530	9	shatanawi	shatanawi	PROPN
ejpam-6292	530	10	,	,	PUNCT
ejpam-6292	530	11	and	and	CCONJ
ejpam-6292	530	12	y.	y.	NOUN
ejpam-6292	530	13	nawaz	nawaz	PROPN
ejpam-6292	530	14	.	.	PUNCT
ejpam-6292	531	1	stochastic	stochastic	ADJ
ejpam-6292	531	2	analysis	analysis	NOUN
ejpam-6292	531	3	of	of	ADP
ejpam-6292	531	4	electro	electro	ADJ
ejpam-6292	531	5	-	-	PUNCT
ejpam-6292	531	6	osmotic	osmotic	NOUN
ejpam-6292	531	7	flow	flow	NOUN
ejpam-6292	531	8	dynamics	dynamic	NOUN
ejpam-6292	531	9	in	in	ADP
ejpam-6292	531	10	porous	porous	ADJ
ejpam-6292	531	11	media	medium	NOUN
ejpam-6292	531	12	with	with	ADP
ejpam-6292	531	13	energy	energy	NOUN
ejpam-6292	531	14	dissipation	dissipation	NOUN
ejpam-6292	531	15	.	.	PUNCT
ejpam-6292	532	1	international	international	ADJ
ejpam-6292	532	2	journal	journal	PROPN
ejpam-6292	532	3	of	of	ADP
ejpam-6292	532	4	m.	m.	PROPN
ejpam-6292	532	5	s.	s.	PROPN
ejpam-6292	532	6	arif	arif	PROPN
ejpam-6292	532	7	,	,	PUNCT
ejpam-6292	532	8	k.	k.	PROPN
ejpam-6292	532	9	abodayeh	abodayeh	PROPN
ejpam-6292	532	10	,	,	PUNCT
ejpam-6292	532	11	y.	y.	NOUN
ejpam-6292	532	12	nawaz	nawaz	PROPN
ejpam-6292	532	13	/	/	SYM
ejpam-6292	532	14	eur	eur	PROPN
ejpam-6292	532	15	.	.	PUNCT
ejpam-6292	533	1	j.	j.	PROPN
ejpam-6292	533	2	pure	pure	PROPN
ejpam-6292	533	3	appl	appl	PROPN
ejpam-6292	533	4	.	.	PROPN
ejpam-6292	533	5	math	math	PROPN
ejpam-6292	533	6	,	,	PUNCT
ejpam-6292	533	7	18	18	NUM
ejpam-6292	533	8	(	(	PUNCT
ejpam-6292	533	9	3	3	NUM
ejpam-6292	533	10	)	)	PUNCT
ejpam-6292	533	11	(	(	PUNCT
ejpam-6292	533	12	2025	2025	NUM
ejpam-6292	533	13	)	)	PUNCT
ejpam-6292	533	14	,	,	PUNCT
ejpam-6292	533	15	6292	6292	NUM
ejpam-6292	533	16	24	24	NUM
ejpam-6292	533	17	of	of	ADP
ejpam-6292	533	18	24	24	NUM
ejpam-6292	533	19	thermofluids	thermofluid	NOUN
ejpam-6292	533	20	,	,	PUNCT
ejpam-6292	533	21	27:101172	27:101172	NUM
ejpam-6292	533	22	,	,	PUNCT
ejpam-6292	533	23	2025	2025	NUM
ejpam-6292	533	24	.	.	PUNCT
ejpam-6292	534	1	[	[	X
ejpam-6292	534	2	38	38	NUM
ejpam-6292	534	3	]	]	PUNCT
ejpam-6292	534	4	m.	m.	NOUN
ejpam-6292	534	5	saeed	saeed	PROPN
ejpam-6292	534	6	,	,	PUNCT
ejpam-6292	534	7	u.	u.	PROPN
ejpam-6292	534	8	ali	ali	PROPN
ejpam-6292	534	9	,	,	PUNCT
ejpam-6292	534	10	j.	j.	PROPN
ejpam-6292	534	11	ali	ali	PROPN
ejpam-6292	534	12	,	,	PUNCT
ejpam-6292	534	13	and	and	CCONJ
ejpam-6292	534	14	f.	f.	PROPN
ejpam-6292	534	15	dayan	dayan	PROPN
ejpam-6292	534	16	.	.	PUNCT
ejpam-6292	535	1	fuzzy	fuzzy	ADJ
ejpam-6292	535	2	soft	soft	ADJ
ejpam-6292	535	3	relative	relative	ADJ
ejpam-6292	535	4	method	method	NOUN
ejpam-6292	535	5	and	and	CCONJ
ejpam-6292	535	6	its	its	PRON
ejpam-6292	535	7	application	application	NOUN
ejpam-6292	535	8	in	in	ADP
ejpam-6292	535	9	decision	decision	NOUN
ejpam-6292	535	10	making	making	NOUN
ejpam-6292	535	11	problem	problem	NOUN
ejpam-6292	535	12	.	.	PUNCT
ejpam-6292	536	1	proc	proc	NOUN
ejpam-6292	536	2	.	.	PUNCT
ejpam-6292	537	1	pak	pak	PROPN
ejpam-6292	537	2	.	.	PUNCT
ejpam-6292	538	1	acad	acad	PROPN
ejpam-6292	538	2	.	.	PUNCT
ejpam-6292	539	1	sci	sci	PROPN
ejpam-6292	539	2	.	.	PUNCT
ejpam-6292	540	1	a	a	DET
ejpam-6292	540	2	phys	phy	NOUN
ejpam-6292	540	3	.	.	PUNCT
ejpam-6292	541	1	comput	comput	NOUN
ejpam-6292	541	2	.	.	PUNCT
ejpam-6292	542	1	sci	sci	PROPN
ejpam-6292	542	2	.	.	PROPN
ejpam-6292	542	3	,	,	PUNCT
ejpam-6292	542	4	57:21–30	57:21–30	NUM
ejpam-6292	542	5	,	,	PUNCT
ejpam-6292	542	6	2020	2020	NUM
ejpam-6292	542	7	.	.	PUNCT
ejpam-6292	543	1	[	[	X
ejpam-6292	543	2	39	39	NUM
ejpam-6292	543	3	]	]	PUNCT
ejpam-6292	543	4	l.	l.	PROPN
ejpam-6292	543	5	d.	d.	PROPN
ejpam-6292	543	6	barros	barros	PROPN
ejpam-6292	543	7	,	,	PUNCT
ejpam-6292	543	8	m.	m.	PROPN
ejpam-6292	543	9	f.	f.	PROPN
ejpam-6292	543	10	leite	leite	PROPN
ejpam-6292	543	11	,	,	PUNCT
ejpam-6292	543	12	and	and	CCONJ
ejpam-6292	543	13	r.	r.	PROPN
ejpam-6292	543	14	bassanezi	bassanezi	PROPN
ejpam-6292	543	15	.	.	PUNCT
ejpam-6292	544	1	the	the	DET
ejpam-6292	544	2	si	si	PROPN
ejpam-6292	544	3	epidemiological	epidemiological	ADJ
ejpam-6292	544	4	models	model	NOUN
ejpam-6292	544	5	with	with	ADP
ejpam-6292	544	6	a	a	DET
ejpam-6292	544	7	fuzzy	fuzzy	ADJ
ejpam-6292	544	8	transmission	transmission	NOUN
ejpam-6292	544	9	parameter	parameter	NOUN
ejpam-6292	544	10	.	.	PUNCT
ejpam-6292	545	1	comput	comput	NOUN
ejpam-6292	545	2	.	.	PUNCT
ejpam-6292	546	1	math	math	NOUN
ejpam-6292	546	2	.	.	PUNCT
ejpam-6292	547	1	appl	appl	PROPN
ejpam-6292	547	2	.	.	PROPN
ejpam-6292	547	3	,	,	PUNCT
ejpam-6292	547	4	45:1619–1628	45:1619–1628	PROPN
ejpam-6292	547	5	,	,	PUNCT
ejpam-6292	547	6	2003	2003	NUM
ejpam-6292	547	7	.	.	PUNCT
ejpam-6292	548	1	[	[	X
ejpam-6292	548	2	40	40	NUM
ejpam-6292	548	3	]	]	X
ejpam-6292	548	4	n.	n.	PROPN
ejpam-6292	548	5	r.	r.	PROPN
ejpam-6292	548	6	s.	s.	PROPN
ejpam-6292	548	7	ortega	ortega	PROPN
ejpam-6292	548	8	,	,	PUNCT
ejpam-6292	548	9	p.	p.	PROPN
ejpam-6292	548	10	c.	c.	PROPN
ejpam-6292	548	11	sallum	sallum	PROPN
ejpam-6292	548	12	,	,	PUNCT
ejpam-6292	548	13	and	and	CCONJ
ejpam-6292	548	14	e.	e.	PROPN
ejpam-6292	548	15	massad	massad	PROPN
ejpam-6292	548	16	.	.	PUNCT
ejpam-6292	549	1	fuzzy	fuzzy	ADJ
ejpam-6292	549	2	dynamical	dynamical	ADJ
ejpam-6292	549	3	systems	system	NOUN
ejpam-6292	549	4	in	in	ADP
ejpam-6292	549	5	epidemic	epidemic	NOUN
ejpam-6292	549	6	modelling	modelling	NOUN
ejpam-6292	549	7	.	.	PUNCT
ejpam-6292	550	1	kybernetes	kybernete	NOUN
ejpam-6292	550	2	,	,	PUNCT
ejpam-6292	550	3	29:201–218	29:201–218	PROPN
ejpam-6292	550	4	,	,	PUNCT
ejpam-6292	550	5	2000	2000	NUM
ejpam-6292	550	6	.	.	PUNCT
ejpam-6292	551	1	[	[	X
ejpam-6292	551	2	41	41	NUM
ejpam-6292	551	3	]	]	PUNCT
ejpam-6292	552	1	p.	p.	NOUN
ejpam-6292	552	2	k.	k.	PROPN
ejpam-6292	553	1	mondal	mondal	PROPN
ejpam-6292	553	2	,	,	PUNCT
ejpam-6292	553	3	s.	s.	PROPN
ejpam-6292	553	4	jana	jana	PROPN
ejpam-6292	553	5	,	,	PUNCT
ejpam-6292	553	6	p.	p.	PROPN
ejpam-6292	553	7	haldar	haldar	NOUN
ejpam-6292	553	8	,	,	PUNCT
ejpam-6292	553	9	and	and	CCONJ
ejpam-6292	553	10	t.	t.	PROPN
ejpam-6292	553	11	k.	k.	PROPN
ejpam-6292	553	12	kar	kar	PROPN
ejpam-6292	553	13	.	.	PUNCT
ejpam-6292	554	1	dynamical	dynamical	ADJ
ejpam-6292	554	2	behavior	behavior	NOUN
ejpam-6292	554	3	of	of	ADP
ejpam-6292	554	4	an	an	DET
ejpam-6292	554	5	epidemic	epidemic	NOUN
ejpam-6292	554	6	model	model	NOUN
ejpam-6292	554	7	in	in	ADP
ejpam-6292	554	8	a	a	DET
ejpam-6292	554	9	fuzzy	fuzzy	ADJ
ejpam-6292	554	10	transmission	transmission	NOUN
ejpam-6292	554	11	.	.	PUNCT
ejpam-6292	555	1	int	int	NOUN
ejpam-6292	555	2	.	.	PUNCT
ejpam-6292	556	1	j.	j.	PROPN
ejpam-6292	556	2	uncertain	uncertain	PROPN
ejpam-6292	556	3	.	.	PUNCT
ejpam-6292	557	1	fuzziness	fuzziness	NOUN
ejpam-6292	557	2	knowl.-based	knowl.-based	PROPN
ejpam-6292	557	3	syst	syst	PROPN
ejpam-6292	557	4	.	.	PROPN
ejpam-6292	557	5	,	,	PUNCT
ejpam-6292	557	6	23:651–665	23:651–665	NUM
ejpam-6292	557	7	,	,	PUNCT
ejpam-6292	557	8	2015	2015	NUM
ejpam-6292	557	9	.	.	PUNCT
ejpam-6292	558	1	[	[	X
ejpam-6292	558	2	42	42	NUM
ejpam-6292	558	3	]	]	PUNCT
ejpam-6292	558	4	a.	a.	NOUN
ejpam-6292	558	5	das	das	PROPN
ejpam-6292	558	6	and	and	CCONJ
ejpam-6292	558	7	m.	m.	NOUN
ejpam-6292	558	8	pal	pal	NOUN
ejpam-6292	558	9	.	.	PUNCT
ejpam-6292	559	1	a	a	DET
ejpam-6292	559	2	mathematical	mathematical	ADJ
ejpam-6292	559	3	study	study	NOUN
ejpam-6292	559	4	of	of	ADP
ejpam-6292	559	5	an	an	DET
ejpam-6292	559	6	imprecise	imprecise	ADJ
ejpam-6292	559	7	sir	sir	NOUN
ejpam-6292	559	8	epidemic	epidemic	NOUN
ejpam-6292	559	9	model	model	NOUN
ejpam-6292	559	10	with	with	ADP
ejpam-6292	559	11	treatment	treatment	NOUN
ejpam-6292	559	12	control	control	NOUN
ejpam-6292	559	13	.	.	PUNCT
ejpam-6292	560	1	j.	j.	PROPN
ejpam-6292	560	2	appl	appl	PROPN
ejpam-6292	560	3	.	.	PROPN
ejpam-6292	560	4	math	math	PROPN
ejpam-6292	560	5	.	.	PUNCT
ejpam-6292	561	1	comput	comput	NOUN
ejpam-6292	561	2	.	.	PUNCT
ejpam-6292	561	3	,	,	PUNCT
ejpam-6292	561	4	56:477–500	56:477–500	PROPN
ejpam-6292	561	5	,	,	PUNCT
ejpam-6292	561	6	2018	2018	NUM
ejpam-6292	561	7	.	.	PUNCT
ejpam-6292	562	1	[	[	X
ejpam-6292	562	2	43	43	NUM
ejpam-6292	562	3	]	]	X
ejpam-6292	562	4	d.	d.	PROPN
ejpam-6292	562	5	sadhukhan	sadhukhan	PROPN
ejpam-6292	562	6	,	,	PUNCT
ejpam-6292	562	7	l.	l.	PROPN
ejpam-6292	562	8	sahoo	sahoo	PROPN
ejpam-6292	562	9	,	,	PUNCT
ejpam-6292	562	10	b.	b.	PROPN
ejpam-6292	562	11	mondal	mondal	PROPN
ejpam-6292	562	12	,	,	PUNCT
ejpam-6292	562	13	and	and	CCONJ
ejpam-6292	562	14	m.	m.	NOUN
ejpam-6292	562	15	maiti	maiti	PROPN
ejpam-6292	562	16	.	.	PUNCT
ejpam-6292	563	1	food	food	NOUN
ejpam-6292	563	2	chain	chain	NOUN
ejpam-6292	563	3	model	model	NOUN
ejpam-6292	563	4	with	with	ADP
ejpam-6292	563	5	optimal	optimal	ADJ
ejpam-6292	563	6	harvesting	harvesting	NOUN
ejpam-6292	563	7	in	in	ADP
ejpam-6292	563	8	fuzzy	fuzzy	ADJ
ejpam-6292	563	9	environment	environment	NOUN
ejpam-6292	563	10	.	.	PUNCT
ejpam-6292	564	1	j.	j.	PROPN
ejpam-6292	564	2	appl	appl	PROPN
ejpam-6292	564	3	.	.	PROPN
ejpam-6292	564	4	math	math	PROPN
ejpam-6292	564	5	.	.	PUNCT
ejpam-6292	565	1	comput	comput	NOUN
ejpam-6292	565	2	.	.	PUNCT
ejpam-6292	565	3	,	,	PUNCT
ejpam-6292	565	4	34:1–18	34:1–18	NUM
ejpam-6292	565	5	,	,	PUNCT
ejpam-6292	565	6	2010	2010	NUM
ejpam-6292	565	7	.	.	PUNCT
ejpam-6292	566	1	[	[	X
ejpam-6292	566	2	44	44	NUM
ejpam-6292	566	3	]	]	X
ejpam-6292	566	4	c.	c.	PROPN
ejpam-6292	566	5	li	li	PROPN
ejpam-6292	566	6	,	,	PUNCT
ejpam-6292	566	7	j.	j.	PROPN
ejpam-6292	566	8	huang	huang	PROPN
ejpam-6292	566	9	,	,	PUNCT
ejpam-6292	566	10	y.-h	y.-h	PROPN
ejpam-6292	566	11	.	.	PUNCT
ejpam-6292	567	1	chen	chen	PROPN
ejpam-6292	567	2	,	,	PUNCT
ejpam-6292	567	3	and	and	CCONJ
ejpam-6292	567	4	h.	h.	PROPN
ejpam-6292	567	5	zhao	zhao	PROPN
ejpam-6292	567	6	.	.	PUNCT
ejpam-6292	568	1	a	a	DET
ejpam-6292	568	2	fuzzy	fuzzy	ADJ
ejpam-6292	568	3	susceptible	susceptible	ADJ
ejpam-6292	568	4	-	-	PUNCT
ejpam-6292	568	5	exposed	expose	VERB
ejpam-6292	568	6	-	-	PUNCT
ejpam-6292	568	7	infectedrecovered	infectedrecovere	VERB
ejpam-6292	568	8	model	model	NOUN
ejpam-6292	568	9	based	base	VERB
ejpam-6292	568	10	on	on	ADP
ejpam-6292	568	11	the	the	DET
ejpam-6292	568	12	confidence	confidence	NOUN
ejpam-6292	568	13	index	index	NOUN
ejpam-6292	568	14	.	.	PUNCT
ejpam-6292	569	1	int	int	NOUN
ejpam-6292	569	2	.	.	PUNCT
ejpam-6292	570	1	j.	j.	PROPN
ejpam-6292	570	2	fuzzy	fuzzy	PROPN
ejpam-6292	570	3	syst	syst	PROPN
ejpam-6292	570	4	.	.	PROPN
ejpam-6292	570	5	,	,	PUNCT
ejpam-6292	570	6	23:907–917	23:907–917	NUM
ejpam-6292	570	7	,	,	PUNCT
ejpam-6292	570	8	2021	2021	NUM
ejpam-6292	570	9	.	.	PUNCT
ejpam-6292	571	1	[	[	X
ejpam-6292	571	2	45	45	NUM
ejpam-6292	571	3	]	]	PUNCT
ejpam-6292	571	4	m.	m.	NOUN
ejpam-6292	571	5	abdy	abdy	PROPN
ejpam-6292	571	6	,	,	PUNCT
ejpam-6292	571	7	s.	s.	PROPN
ejpam-6292	571	8	side	side	PROPN
ejpam-6292	571	9	,	,	PUNCT
ejpam-6292	571	10	s.	s.	PROPN
ejpam-6292	571	11	annas	annas	PROPN
ejpam-6292	571	12	,	,	PUNCT
ejpam-6292	571	13	w.	w.	PROPN
ejpam-6292	571	14	nur	nur	PROPN
ejpam-6292	571	15	,	,	PUNCT
ejpam-6292	571	16	and	and	CCONJ
ejpam-6292	571	17	w.	w.	PROPN
ejpam-6292	571	18	sanusi	sanusi	PROPN
ejpam-6292	571	19	.	.	PUNCT
ejpam-6292	572	1	an	an	DET
ejpam-6292	572	2	sir	sir	NOUN
ejpam-6292	572	3	epidemic	epidemic	NOUN
ejpam-6292	572	4	model	model	NOUN
ejpam-6292	572	5	for	for	ADP
ejpam-6292	572	6	covid19	covid19	NOUN
ejpam-6292	572	7	spread	spread	VERB
ejpam-6292	572	8	with	with	ADP
ejpam-6292	572	9	fuzzy	fuzzy	ADJ
ejpam-6292	572	10	parameter	parameter	NOUN
ejpam-6292	572	11	:	:	PUNCT
ejpam-6292	572	12	the	the	DET
ejpam-6292	572	13	case	case	NOUN
ejpam-6292	572	14	of	of	ADP
ejpam-6292	572	15	indonesia	indonesia	PROPN
ejpam-6292	572	16	.	.	PUNCT
ejpam-6292	573	1	adv	adv	PROPN
ejpam-6292	573	2	.	.	PROPN
ejpam-6292	573	3	differ	differ	VERB
ejpam-6292	573	4	.	.	PUNCT
ejpam-6292	574	1	equ	equ	PROPN
ejpam-6292	574	2	.	.	PROPN
ejpam-6292	574	3	,	,	PUNCT
ejpam-6292	574	4	pages	page	NOUN
ejpam-6292	574	5	1–17	1–17	PROPN
ejpam-6292	574	6	,	,	PUNCT
ejpam-6292	574	7	2021	2021	NUM
ejpam-6292	574	8	.	.	PUNCT
ejpam-6292	575	1	[	[	X
ejpam-6292	575	2	46	46	NUM
ejpam-6292	575	3	]	]	X
ejpam-6292	575	4	f.	f.	PROPN
ejpam-6292	575	5	allehiany	allehiany	PROPN
ejpam-6292	575	6	et	et	PROPN
ejpam-6292	575	7	al	al	PROPN
ejpam-6292	575	8	.	.	PROPN
ejpam-6292	575	9	bio	bio	PROPN
ejpam-6292	575	10	-	-	PUNCT
ejpam-6292	575	11	inspired	inspire	VERB
ejpam-6292	575	12	numerical	numerical	ADJ
ejpam-6292	575	13	analysis	analysis	NOUN
ejpam-6292	575	14	of	of	ADP
ejpam-6292	575	15	covid-19	covid-19	PROPN
ejpam-6292	575	16	with	with	ADP
ejpam-6292	575	17	fuzzy	fuzzy	ADJ
ejpam-6292	575	18	parameters	parameter	NOUN
ejpam-6292	575	19	.	.	PUNCT
ejpam-6292	576	1	comput	comput	NOUN
ejpam-6292	576	2	.	.	PUNCT
ejpam-6292	577	1	mater	mater	NOUN
ejpam-6292	577	2	.	.	PUNCT
ejpam-6292	578	1	continua	continua	PROPN
ejpam-6292	578	2	,	,	PUNCT
ejpam-6292	578	3	72:3213–3229	72:3213–3229	PROPN
ejpam-6292	578	4	,	,	PUNCT
ejpam-6292	578	5	2022	2022	NUM
ejpam-6292	578	6	.	.	PUNCT
ejpam-6292	579	1	[	[	X
ejpam-6292	579	2	47	47	NUM
ejpam-6292	579	3	]	]	PUNCT
ejpam-6292	579	4	r.	r.	PROPN
ejpam-6292	579	5	e.	e.	PROPN
ejpam-6292	579	6	mickens	mickens	PROPN
ejpam-6292	579	7	.	.	PUNCT
ejpam-6292	580	1	dynamic	dynamic	ADJ
ejpam-6292	580	2	consistency	consistency	NOUN
ejpam-6292	580	3	:	:	PUNCT
ejpam-6292	580	4	a	a	DET
ejpam-6292	580	5	fundamental	fundamental	ADJ
ejpam-6292	580	6	principle	principle	NOUN
ejpam-6292	580	7	for	for	ADP
ejpam-6292	580	8	constructing	construct	VERB
ejpam-6292	580	9	nonstandard	nonstandard	ADJ
ejpam-6292	580	10	finite	finite	ADJ
ejpam-6292	580	11	difference	difference	NOUN
ejpam-6292	580	12	schemes	scheme	NOUN
ejpam-6292	580	13	for	for	ADP
ejpam-6292	580	14	differential	differential	ADJ
ejpam-6292	580	15	equations	equation	NOUN
ejpam-6292	580	16	.	.	PUNCT
ejpam-6292	581	1	j.	j.	PROPN
ejpam-6292	581	2	differ	differ	VERB
ejpam-6292	581	3	.	.	PUNCT
ejpam-6292	582	1	equ	equ	PROPN
ejpam-6292	582	2	.	.	PUNCT
ejpam-6292	582	3	appl	appl	PROPN
ejpam-6292	582	4	.	.	PROPN
ejpam-6292	582	5	,	,	PUNCT
ejpam-6292	582	6	11:645–653	11:645–653	PROPN
ejpam-6292	582	7	,	,	PUNCT
ejpam-6292	582	8	2005	2005	NUM
ejpam-6292	582	9	.	.	PUNCT
ejpam-6292	583	1	[	[	X
ejpam-6292	583	2	48	48	NUM
ejpam-6292	583	3	]	]	PUNCT
ejpam-6292	583	4	j.	j.	PROPN
ejpam-6292	583	5	cresson	cresson	PROPN
ejpam-6292	583	6	and	and	CCONJ
ejpam-6292	583	7	f.	f.	PROPN
ejpam-6292	583	8	pierret	pierret	PROPN
ejpam-6292	583	9	.	.	PUNCT
ejpam-6292	584	1	non	non	PROPN
ejpam-6292	584	2	standard	standard	ADJ
ejpam-6292	584	3	finite	finite	ADJ
ejpam-6292	584	4	difference	difference	NOUN
ejpam-6292	584	5	scheme	scheme	NOUN
ejpam-6292	584	6	preserving	preserve	VERB
ejpam-6292	584	7	dynamical	dynamical	ADJ
ejpam-6292	584	8	properties	property	NOUN
ejpam-6292	584	9	.	.	PUNCT
ejpam-6292	585	1	j.	j.	PROPN
ejpam-6292	585	2	comput	comput	PROPN
ejpam-6292	585	3	.	.	PUNCT
ejpam-6292	586	1	appl	appl	PROPN
ejpam-6292	586	2	.	.	PROPN
ejpam-6292	586	3	math	math	PROPN
ejpam-6292	586	4	.	.	PUNCT
ejpam-6292	586	5	,	,	PUNCT
ejpam-6292	587	1	303:15–30	303:15–30	NUM
ejpam-6292	587	2	,	,	PUNCT
ejpam-6292	587	3	2016	2016	NUM
ejpam-6292	587	4	.	.	PUNCT
ejpam-6292	588	1	[	[	X
ejpam-6292	588	2	49	49	NUM
ejpam-6292	588	3	]	]	PUNCT
ejpam-6292	588	4	m.	m.	NOUN
ejpam-6292	588	5	naveed	naveed	AUX
ejpam-6292	588	6	et	et	PROPN
ejpam-6292	588	7	al	al	PROPN
ejpam-6292	588	8	.	.	PROPN
ejpam-6292	588	9	mathematical	mathematical	ADJ
ejpam-6292	588	10	analysis	analysis	NOUN
ejpam-6292	588	11	of	of	ADP
ejpam-6292	588	12	novel	novel	ADJ
ejpam-6292	588	13	coronavirus	coronavirus	NOUN
ejpam-6292	588	14	(	(	PUNCT
ejpam-6292	588	15	2019	2019	NUM
ejpam-6292	588	16	-	-	PUNCT
ejpam-6292	588	17	ncov	ncov	NOUN
ejpam-6292	588	18	)	)	PUNCT
ejpam-6292	588	19	delay	delay	VERB
ejpam-6292	588	20	pandemic	pandemic	ADJ
ejpam-6292	588	21	model	model	NOUN
ejpam-6292	588	22	.	.	PUNCT
ejpam-6292	589	1	comput	comput	NOUN
ejpam-6292	589	2	.	.	PUNCT
ejpam-6292	590	1	mater	mater	NOUN
ejpam-6292	590	2	.	.	PUNCT
ejpam-6292	591	1	continua	continua	PROPN
ejpam-6292	591	2	,	,	PUNCT
ejpam-6292	591	3	64:1401–1414	64:1401–1414	NUM
ejpam-6292	591	4	,	,	PUNCT
ejpam-6292	591	5	2020	2020	NUM
ejpam-6292	591	6	.	.	PUNCT
ejpam-6292	592	1	[	[	X
ejpam-6292	592	2	50	50	NUM
ejpam-6292	592	3	]	]	PUNCT
ejpam-6292	592	4	w.	w.	PROPN
ejpam-6292	592	5	shatanawi	shatanawi	PROPN
ejpam-6292	592	6	et	et	PROPN
ejpam-6292	592	7	al	al	PROPN
ejpam-6292	592	8	.	.	PUNCT
ejpam-6292	593	1	an	an	DET
ejpam-6292	593	2	effective	effective	ADJ
ejpam-6292	593	3	numerical	numerical	ADJ
ejpam-6292	593	4	method	method	NOUN
ejpam-6292	593	5	for	for	ADP
ejpam-6292	593	6	the	the	DET
ejpam-6292	593	7	solution	solution	NOUN
ejpam-6292	593	8	of	of	ADP
ejpam-6292	593	9	a	a	DET
ejpam-6292	593	10	stochastic	stochastic	ADJ
ejpam-6292	593	11	coronavirus	coronavirus	NOUN
ejpam-6292	593	12	(	(	PUNCT
ejpam-6292	593	13	2019	2019	NUM
ejpam-6292	593	14	-	-	PUNCT
ejpam-6292	593	15	ncovid	ncovid	NOUN
ejpam-6292	593	16	)	)	PUNCT
ejpam-6292	593	17	pandemic	pandemic	ADJ
ejpam-6292	593	18	model	model	NOUN
ejpam-6292	593	19	.	.	PUNCT
ejpam-6292	594	1	comput	comput	NOUN
ejpam-6292	594	2	.	.	PUNCT
ejpam-6292	595	1	mater	mater	NOUN
ejpam-6292	595	2	.	.	PUNCT
ejpam-6292	596	1	continua	continua	PROPN
ejpam-6292	596	2	,	,	PUNCT
ejpam-6292	596	3	66:1121–1137	66:1121–1137	NUM
ejpam-6292	596	4	,	,	PUNCT
ejpam-6292	596	5	2021	2021	NUM
ejpam-6292	596	6	.	.	PUNCT
ejpam-6292	597	1	[	[	X
ejpam-6292	597	2	51	51	NUM
ejpam-6292	597	3	]	]	PUNCT
ejpam-6292	597	4	s.	s.	PROPN
ejpam-6292	597	5	a.	a.	PROPN
ejpam-6292	597	6	pasha	pasha	PROPN
ejpam-6292	597	7	,	,	PUNCT
ejpam-6292	597	8	y.	y.	NOUN
ejpam-6292	597	9	nawaz	nawaz	NOUN
ejpam-6292	597	10	,	,	PUNCT
ejpam-6292	597	11	and	and	CCONJ
ejpam-6292	597	12	m.	m.	PROPN
ejpam-6292	597	13	s.	s.	PROPN
ejpam-6292	597	14	arif	arif	PROPN
ejpam-6292	597	15	.	.	PUNCT
ejpam-6292	598	1	on	on	ADP
ejpam-6292	598	2	the	the	DET
ejpam-6292	598	3	nonstandard	nonstandard	ADJ
ejpam-6292	598	4	finite	finite	ADJ
ejpam-6292	598	5	difference	difference	NOUN
ejpam-6292	598	6	method	method	NOUN
ejpam-6292	598	7	for	for	ADP
ejpam-6292	598	8	reaction	reaction	NOUN
ejpam-6292	598	9	–	–	PUNCT
ejpam-6292	598	10	diffusion	diffusion	NOUN
ejpam-6292	598	11	models	model	NOUN
ejpam-6292	598	12	.	.	PUNCT
ejpam-6292	599	1	chaos	chaos	NOUN
ejpam-6292	599	2	,	,	PUNCT
ejpam-6292	599	3	solitons	soliton	NOUN
ejpam-6292	599	4	fractals	fractal	NOUN
ejpam-6292	599	5	,	,	PUNCT
ejpam-6292	599	6	166:112929	166:112929	NOUN
ejpam-6292	599	7	,	,	PUNCT
ejpam-6292	599	8	2023	2023	NUM
ejpam-6292	599	9	.	.	PUNCT