id	sid	tid	token	lemma	pos
ejpam-6001	1	1	european	european	PROPN
ejpam-6001	1	2	journal	journal	PROPN
ejpam-6001	1	3	of	of	ADP
ejpam-6001	1	4	pure	pure	ADJ
ejpam-6001	1	5	and	and	CCONJ
ejpam-6001	1	6	applied	applied	ADJ
ejpam-6001	1	7	mathematics	mathematic	NOUN
ejpam-6001	1	8	2025	2025	NUM
ejpam-6001	1	9	,	,	PUNCT
ejpam-6001	1	10	vol	vol	NOUN
ejpam-6001	1	11	.	.	PROPN
ejpam-6001	1	12	18	18	NUM
ejpam-6001	1	13	,	,	PUNCT
ejpam-6001	1	14	issue	issue	NOUN
ejpam-6001	1	15	2	2	NUM
ejpam-6001	1	16	,	,	PUNCT
ejpam-6001	1	17	article	article	NOUN
ejpam-6001	1	18	number	number	NOUN
ejpam-6001	1	19	6001	6001	NUM
ejpam-6001	1	20	issn	issn	PROPN
ejpam-6001	1	21	1307	1307	NUM
ejpam-6001	1	22	-	-	SYM
ejpam-6001	1	23	5543	5543	NUM
ejpam-6001	1	24	–	–	PUNCT
ejpam-6001	1	25	ejpam.com	ejpam.com	X
ejpam-6001	1	26	published	publish	VERB
ejpam-6001	1	27	by	by	ADP
ejpam-6001	1	28	new	new	PROPN
ejpam-6001	1	29	york	york	PROPN
ejpam-6001	1	30	business	business	PROPN
ejpam-6001	1	31	global	global	PROPN
ejpam-6001	1	32	mathematical	mathematical	PROPN
ejpam-6001	1	33	modeling	modeling	NOUN
ejpam-6001	1	34	with	with	ADP
ejpam-6001	1	35	two	two	NUM
ejpam-6001	1	36	strains	strain	NOUN
ejpam-6001	1	37	to	to	PART
ejpam-6001	1	38	investigate	investigate	VERB
ejpam-6001	1	39	evolution	evolution	NOUN
ejpam-6001	1	40	of	of	ADP
ejpam-6001	1	41	covid-19	covid-19	PROPN
ejpam-6001	1	42	from	from	ADP
ejpam-6001	1	43	computational	computational	ADJ
ejpam-6001	1	44	and	and	CCONJ
ejpam-6001	1	45	theoretical	theoretical	ADJ
ejpam-6001	1	46	perspectives	perspective	NOUN
ejpam-6001	1	47	muhammad	muhammad	PROPN
ejpam-6001	1	48	riaz1	riaz1	PROPN
ejpam-6001	1	49	,	,	PUNCT
ejpam-6001	1	50	zeeshan	zeeshan	PROPN
ejpam-6001	1	51	ali2,∗	ali2,∗	PROPN
ejpam-6001	1	52	,	,	PUNCT
ejpam-6001	1	53	rahim	rahim	PROPN
ejpam-6001	1	54	ud	ud	INTJ
ejpam-6001	1	55	din1	din1	PROPN
ejpam-6001	1	56	,	,	PUNCT
ejpam-6001	1	57	sadique	sadique	ADJ
ejpam-6001	1	58	ahmad3	ahmad3	ADP
ejpam-6001	1	59	,	,	PUNCT
ejpam-6001	1	60	kamaleldin	kamaleldin	ADJ
ejpam-6001	1	61	abodayeh4	abodayeh4	NOUN
ejpam-6001	1	62	,	,	PUNCT
ejpam-6001	1	63	muhammad	muhammad	PROPN
ejpam-6001	1	64	sarwar1,4	sarwar1,4	PROPN
ejpam-6001	1	65	1department	1department	NUM
ejpam-6001	1	66	of	of	ADP
ejpam-6001	1	67	mathematics	mathematic	NOUN
ejpam-6001	1	68	,	,	PUNCT
ejpam-6001	1	69	university	university	NOUN
ejpam-6001	1	70	of	of	ADP
ejpam-6001	1	71	malakand	malakand	PROPN
ejpam-6001	1	72	,	,	PUNCT
ejpam-6001	1	73	chakdara	chakdara	NOUN
ejpam-6001	1	74	dir(l	dir(l	PROPN
ejpam-6001	1	75	)	)	PUNCT
ejpam-6001	1	76	,	,	PUNCT
ejpam-6001	1	77	18000	18000	NUM
ejpam-6001	1	78	,	,	PUNCT
ejpam-6001	1	79	khyber	khyber	PROPN
ejpam-6001	1	80	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6001	1	81	,	,	PUNCT
ejpam-6001	1	82	pakistan	pakistan	PROPN
ejpam-6001	1	83	2department	2department	NUM
ejpam-6001	1	84	of	of	ADP
ejpam-6001	1	85	information	information	NOUN
ejpam-6001	1	86	management	management	NOUN
ejpam-6001	1	87	,	,	PUNCT
ejpam-6001	1	88	national	national	PROPN
ejpam-6001	1	89	yunlin	yunlin	PROPN
ejpam-6001	1	90	university	university	PROPN
ejpam-6001	1	91	of	of	ADP
ejpam-6001	1	92	science	science	NOUN
ejpam-6001	1	93	and	and	CCONJ
ejpam-6001	1	94	technology	technology	NOUN
ejpam-6001	1	95	douliu	douliu	PROPN
ejpam-6001	1	96	taiwan	taiwan	PROPN
ejpam-6001	1	97	,	,	PUNCT
ejpam-6001	2	1	r.	r.	PROPN
ejpam-6001	2	2	o.	o.	PROPN
ejpam-6001	2	3	c	c	PROPN
ejpam-6001	3	1	3eias	3eias	NUM
ejpam-6001	3	2	data	datum	NOUN
ejpam-6001	3	3	science	science	NOUN
ejpam-6001	3	4	and	and	CCONJ
ejpam-6001	3	5	block	block	NOUN
ejpam-6001	3	6	chain	chain	NOUN
ejpam-6001	3	7	laboratory	laboratory	NOUN
ejpam-6001	3	8	,	,	PUNCT
ejpam-6001	3	9	college	college	NOUN
ejpam-6001	3	10	of	of	ADP
ejpam-6001	3	11	computer	computer	NOUN
ejpam-6001	3	12	and	and	CCONJ
ejpam-6001	3	13	information	information	NOUN
ejpam-6001	3	14	sciences	science	NOUN
ejpam-6001	3	15	,	,	PUNCT
ejpam-6001	3	16	prince	prince	PROPN
ejpam-6001	3	17	sultan	sultan	PROPN
ejpam-6001	3	18	university	university	PROPN
ejpam-6001	3	19	,	,	PUNCT
ejpam-6001	3	20	riyadh	riyadh	PROPN
ejpam-6001	3	21	11586	11586	NUM
ejpam-6001	3	22	,	,	PUNCT
ejpam-6001	3	23	saudi	saudi	PROPN
ejpam-6001	3	24	arabia	arabia	PROPN
ejpam-6001	3	25	4department	4department	NUM
ejpam-6001	3	26	of	of	ADP
ejpam-6001	3	27	mathematics	mathematic	NOUN
ejpam-6001	3	28	and	and	CCONJ
ejpam-6001	3	29	sciences	science	NOUN
ejpam-6001	3	30	,	,	PUNCT
ejpam-6001	3	31	prince	prince	PROPN
ejpam-6001	3	32	sultan	sultan	PROPN
ejpam-6001	3	33	university	university	PROPN
ejpam-6001	3	34	,	,	PUNCT
ejpam-6001	3	35	p.o	p.o	PROPN
ejpam-6001	3	36	.	.	PROPN
ejpam-6001	3	37	box	box	PROPN
ejpam-6001	3	38	66833	66833	NUM
ejpam-6001	3	39	,	,	PUNCT
ejpam-6001	3	40	11586	11586	NUM
ejpam-6001	3	41	riyadh	riyadh	NOUN
ejpam-6001	3	42	,	,	PUNCT
ejpam-6001	3	43	saudi	saudi	PROPN
ejpam-6001	3	44	arabia	arabia	PROPN
ejpam-6001	3	45	abstract	abstract	NOUN
ejpam-6001	3	46	.	.	PUNCT
ejpam-6001	4	1	the	the	DET
ejpam-6001	4	2	respiratory	respiratory	ADJ
ejpam-6001	4	3	disease	disease	NOUN
ejpam-6001	4	4	covid-19	covid-19	PROPN
ejpam-6001	4	5	is	be	AUX
ejpam-6001	4	6	brought	bring	VERB
ejpam-6001	4	7	on	on	ADP
ejpam-6001	4	8	by	by	ADP
ejpam-6001	4	9	a	a	DET
ejpam-6001	4	10	mutagenic	mutagenic	ADJ
ejpam-6001	4	11	ribonucleic	ribonucleic	ADJ
ejpam-6001	4	12	acid	acid	NOUN
ejpam-6001	4	13	(	(	PUNCT
ejpam-6001	4	14	rna	rna	PROPN
ejpam-6001	4	15	)	)	PUNCT
ejpam-6001	4	16	virus	virus	NOUN
ejpam-6001	4	17	.	.	PUNCT
ejpam-6001	5	1	variants	variant	NOUN
ejpam-6001	5	2	with	with	ADP
ejpam-6001	5	3	various	various	ADJ
ejpam-6001	5	4	traits	trait	NOUN
ejpam-6001	5	5	that	that	PRON
ejpam-6001	5	6	could	could	AUX
ejpam-6001	5	7	potentially	potentially	ADV
ejpam-6001	5	8	impact	impact	VERB
ejpam-6001	5	9	transmissibility	transmissibility	NOUN
ejpam-6001	5	10	started	start	VERB
ejpam-6001	5	11	to	to	PART
ejpam-6001	5	12	appear	appear	VERB
ejpam-6001	5	13	globally	globally	ADV
ejpam-6001	5	14	in	in	ADP
ejpam-6001	5	15	december	december	PROPN
ejpam-6001	5	16	2020	2020	NUM
ejpam-6001	5	17	.	.	PUNCT
ejpam-6001	6	1	we	we	PRON
ejpam-6001	6	2	develop	develop	VERB
ejpam-6001	6	3	and	and	CCONJ
ejpam-6001	6	4	examine	examine	VERB
ejpam-6001	6	5	a	a	DET
ejpam-6001	6	6	computational	computational	ADJ
ejpam-6001	6	7	model	model	NOUN
ejpam-6001	6	8	of	of	ADP
ejpam-6001	6	9	two	two	NUM
ejpam-6001	6	10	-	-	PUNCT
ejpam-6001	6	11	strain	strain	NOUN
ejpam-6001	6	12	covid-19	covid-19	PROPN
ejpam-6001	6	13	transmission	transmission	NOUN
ejpam-6001	6	14	behaviors	behavior	NOUN
ejpam-6001	6	15	in	in	ADP
ejpam-6001	6	16	order	order	NOUN
ejpam-6001	6	17	to	to	PART
ejpam-6001	6	18	deal	deal	VERB
ejpam-6001	6	19	with	with	ADP
ejpam-6001	6	20	this	this	DET
ejpam-6001	6	21	novel	novel	ADJ
ejpam-6001	6	22	aspect	aspect	NOUN
ejpam-6001	6	23	of	of	ADP
ejpam-6001	6	24	the	the	DET
ejpam-6001	6	25	disease	disease	NOUN
ejpam-6001	6	26	.	.	PUNCT
ejpam-6001	7	1	after	after	ADP
ejpam-6001	7	2	a	a	DET
ejpam-6001	7	3	theoretical	theoretical	ADJ
ejpam-6001	7	4	analysis	analysis	NOUN
ejpam-6001	7	5	,	,	PUNCT
ejpam-6001	7	6	enough	enough	ADJ
ejpam-6001	7	7	criteria	criterion	NOUN
ejpam-6001	7	8	are	be	AUX
ejpam-6001	7	9	derived	derive	VERB
ejpam-6001	7	10	for	for	ADP
ejpam-6001	7	11	the	the	DET
ejpam-6001	7	12	stability	stability	NOUN
ejpam-6001	7	13	of	of	ADP
ejpam-6001	7	14	the	the	DET
ejpam-6001	7	15	model	model	NOUN
ejpam-6001	7	16	’s	’s	PART
ejpam-6001	7	17	equilibrium	equilibrium	NOUN
ejpam-6001	7	18	.	.	PUNCT
ejpam-6001	8	1	the	the	DET
ejpam-6001	8	2	model	model	NOUN
ejpam-6001	8	3	contains	contain	VERB
ejpam-6001	8	4	single	single	ADJ
ejpam-6001	8	5	-	-	PUNCT
ejpam-6001	8	6	strain	strain	NOUN
ejpam-6001	8	7	1	1	NUM
ejpam-6001	8	8	and	and	CCONJ
ejpam-6001	8	9	variant	variant	ADJ
ejpam-6001	8	10	2	2	NUM
ejpam-6001	8	11	endemic	endemic	ADJ
ejpam-6001	8	12	equilibria	equilibrium	NOUN
ejpam-6001	8	13	as	as	ADV
ejpam-6001	8	14	well	well	ADV
ejpam-6001	8	15	as	as	ADP
ejpam-6001	8	16	disease	disease	NOUN
ejpam-6001	8	17	-	-	PUNCT
ejpam-6001	8	18	free	free	ADJ
ejpam-6001	8	19	and	and	CCONJ
ejpam-6001	8	20	endemic	endemic	ADJ
ejpam-6001	8	21	equilibria	equilibrium	NOUN
ejpam-6001	8	22	.	.	PUNCT
ejpam-6001	9	1	the	the	DET
ejpam-6001	9	2	global	global	ADJ
ejpam-6001	9	3	stability	stability	NOUN
ejpam-6001	9	4	of	of	ADP
ejpam-6001	9	5	the	the	DET
ejpam-6001	9	6	model	model	NOUN
ejpam-6001	9	7	equilibrium	equilibrium	NOUN
ejpam-6001	9	8	is	be	AUX
ejpam-6001	9	9	demonstrated	demonstrate	VERB
ejpam-6001	9	10	using	use	VERB
ejpam-6001	9	11	the	the	DET
ejpam-6001	9	12	lyapunov	lyapunov	ADJ
ejpam-6001	9	13	function	function	NOUN
ejpam-6001	9	14	.	.	PUNCT
ejpam-6001	10	1	for	for	ADP
ejpam-6001	10	2	each	each	DET
ejpam-6001	10	3	strain	strain	NOUN
ejpam-6001	10	4	,	,	PUNCT
ejpam-6001	10	5	we	we	PRON
ejpam-6001	10	6	separately	separately	ADV
ejpam-6001	10	7	compute	compute	VERB
ejpam-6001	10	8	the	the	DET
ejpam-6001	10	9	basic	basic	ADJ
ejpam-6001	10	10	reproductive	reproductive	ADJ
ejpam-6001	10	11	numbers	number	NOUN
ejpam-6001	10	12	r01	r01	PROPN
ejpam-6001	10	13	<	<	X
ejpam-6001	10	14	1	1	NUM
ejpam-6001	10	15	,	,	PUNCT
ejpam-6001	10	16	and	and	CCONJ
ejpam-6001	10	17	r02	r02	VERB
ejpam-6001	10	18	<	<	X
ejpam-6001	10	19	1	1	NUM
ejpam-6001	10	20	.	.	PUNCT
ejpam-6001	10	21	to	to	PART
ejpam-6001	10	22	determine	determine	VERB
ejpam-6001	10	23	the	the	DET
ejpam-6001	10	24	realistic	realistic	ADJ
ejpam-6001	10	25	values	value	NOUN
ejpam-6001	10	26	of	of	ADP
ejpam-6001	10	27	the	the	DET
ejpam-6001	10	28	model	model	NOUN
ejpam-6001	10	29	parameters	parameter	NOUN
ejpam-6001	10	30	,	,	PUNCT
ejpam-6001	10	31	the	the	DET
ejpam-6001	10	32	actual	actual	ADJ
ejpam-6001	10	33	data	datum	NOUN
ejpam-6001	10	34	from	from	ADP
ejpam-6001	10	35	south	south	PROPN
ejpam-6001	10	36	africa	africa	PROPN
ejpam-6001	10	37	for	for	ADP
ejpam-6001	10	38	the	the	DET
ejpam-6001	10	39	period	period	NOUN
ejpam-6001	10	40	of	of	ADP
ejpam-6001	10	41	three	three	NUM
ejpam-6001	10	42	months	month	NOUN
ejpam-6001	10	43	,	,	PUNCT
ejpam-6001	10	44	are	be	AUX
ejpam-6001	10	45	taken	take	VERB
ejpam-6001	10	46	into	into	ADP
ejpam-6001	10	47	consideration	consideration	NOUN
ejpam-6001	10	48	.	.	PUNCT
ejpam-6001	11	1	sensitivity	sensitivity	NOUN
ejpam-6001	11	2	study	study	NOUN
ejpam-6001	11	3	employing	employ	VERB
ejpam-6001	11	4	the	the	DET
ejpam-6001	11	5	partial	partial	ADJ
ejpam-6001	11	6	rank	rank	NOUN
ejpam-6001	11	7	correlation	correlation	NOUN
ejpam-6001	11	8	coefficient	coefficient	NOUN
ejpam-6001	11	9	technique	technique	NOUN
ejpam-6001	11	10	(	(	PUNCT
ejpam-6001	11	11	prcc	prcc	NOUN
ejpam-6001	11	12	)	)	PUNCT
ejpam-6001	11	13	to	to	PART
ejpam-6001	11	14	look	look	VERB
ejpam-6001	11	15	into	into	ADP
ejpam-6001	11	16	the	the	DET
ejpam-6001	11	17	key	key	ADJ
ejpam-6001	11	18	variables	variable	NOUN
ejpam-6001	11	19	that	that	PRON
ejpam-6001	11	20	affect	affect	VERB
ejpam-6001	11	21	r01	r01	PROPN
ejpam-6001	11	22	<	<	X
ejpam-6001	11	23	1	1	NUM
ejpam-6001	11	24	,	,	PUNCT
ejpam-6001	11	25	or	or	CCONJ
ejpam-6001	11	26	r02	r02	VERB
ejpam-6001	11	27	<	<	X
ejpam-6001	11	28	1	1	NUM
ejpam-6001	11	29	decrease	decrease	NOUN
ejpam-6001	11	30	or	or	CCONJ
ejpam-6001	11	31	increase	increase	VERB
ejpam-6001	11	32	.	.	PUNCT
ejpam-6001	12	1	we	we	PRON
ejpam-6001	12	2	show	show	VERB
ejpam-6001	12	3	the	the	DET
ejpam-6001	12	4	numerical	numerical	ADJ
ejpam-6001	12	5	simulation	simulation	NOUN
ejpam-6001	12	6	of	of	ADP
ejpam-6001	12	7	the	the	DET
ejpam-6001	12	8	model	model	NOUN
ejpam-6001	12	9	using	use	VERB
ejpam-6001	12	10	non	non	ADJ
ejpam-6001	12	11	-	-	ADJ
ejpam-6001	12	12	standard	standard	ADJ
ejpam-6001	12	13	finite	finite	ADJ
ejpam-6001	12	14	difference	difference	NOUN
ejpam-6001	12	15	scheme	scheme	NOUN
ejpam-6001	12	16	(	(	PUNCT
ejpam-6001	12	17	nsfds	nsfds	NOUN
ejpam-6001	12	18	)	)	PUNCT
ejpam-6001	12	19	and	and	CCONJ
ejpam-6001	12	20	caputo	caputo	PROPN
ejpam-6001	12	21	fractional	fractional	PROPN
ejpam-6001	12	22	derivative	derivative	NOUN
ejpam-6001	12	23	for	for	ADP
ejpam-6001	12	24	distinct	distinct	ADJ
ejpam-6001	12	25	noninteger	noninteger	NOUN
ejpam-6001	12	26	order	order	NOUN
ejpam-6001	12	27	.	.	PUNCT
ejpam-6001	13	1	the	the	DET
ejpam-6001	13	2	world	world	PROPN
ejpam-6001	13	3	health	health	NOUN
ejpam-6001	13	4	organizations	organization	NOUN
ejpam-6001	13	5	(	(	PUNCT
ejpam-6001	13	6	who	who	PRON
ejpam-6001	13	7	)	)	PUNCT
ejpam-6001	13	8	recommends	recommend	VERB
ejpam-6001	13	9	standard	standard	ADJ
ejpam-6001	13	10	operating	operating	NOUN
ejpam-6001	13	11	procedures	procedure	NOUN
ejpam-6001	13	12	(	(	PUNCT
ejpam-6001	13	13	sops	sop	NOUN
ejpam-6001	13	14	)	)	PUNCT
ejpam-6001	13	15	to	to	PART
ejpam-6001	13	16	minimize	minimize	VERB
ejpam-6001	13	17	infection	infection	NOUN
ejpam-6001	13	18	in	in	ADP
ejpam-6001	13	19	the	the	DET
ejpam-6001	13	20	population	population	NOUN
ejpam-6001	13	21	.	.	PUNCT
ejpam-6001	14	1	based	base	VERB
ejpam-6001	14	2	on	on	ADP
ejpam-6001	14	3	these	these	DET
ejpam-6001	14	4	recommendations	recommendation	NOUN
ejpam-6001	14	5	,	,	PUNCT
ejpam-6001	14	6	some	some	DET
ejpam-6001	14	7	graphical	graphical	ADJ
ejpam-6001	14	8	results	result	NOUN
ejpam-6001	14	9	for	for	ADP
ejpam-6001	14	10	the	the	DET
ejpam-6001	14	11	model	model	NOUN
ejpam-6001	14	12	with	with	ADP
ejpam-6001	14	13	sensitive	sensitive	ADJ
ejpam-6001	14	14	parameters	parameter	NOUN
ejpam-6001	14	15	are	be	AUX
ejpam-6001	14	16	provided	provide	VERB
ejpam-6001	14	17	.	.	PUNCT
ejpam-6001	15	1	2020	2020	NUM
ejpam-6001	15	2	mathematics	mathematic	NOUN
ejpam-6001	15	3	subject	subject	NOUN
ejpam-6001	15	4	classifications	classification	NOUN
ejpam-6001	15	5	:	:	PUNCT
ejpam-6001	15	6	26a33	26a33	NUM
ejpam-6001	15	7	,	,	PUNCT
ejpam-6001	15	8	34a08	34a08	NUM
ejpam-6001	15	9	,	,	PUNCT
ejpam-6001	15	10	03c65	03c65	X
ejpam-6001	15	11	key	key	ADJ
ejpam-6001	15	12	words	word	NOUN
ejpam-6001	15	13	and	and	CCONJ
ejpam-6001	15	14	phrases	phrase	NOUN
ejpam-6001	15	15	:	:	PUNCT
ejpam-6001	15	16	sei1i2hrd	sei1i2hrd	ADJ
ejpam-6001	15	17	model	model	NOUN
ejpam-6001	15	18	,	,	PUNCT
ejpam-6001	15	19	two	two	NUM
ejpam-6001	15	20	strain	strain	NOUN
ejpam-6001	15	21	model	model	NOUN
ejpam-6001	15	22	,	,	PUNCT
ejpam-6001	15	23	nsfd	nsfd	ADJ
ejpam-6001	15	24	scheme	scheme	NOUN
ejpam-6001	15	25	,	,	PUNCT
ejpam-6001	15	26	sensitivity	sensitivity	NOUN
ejpam-6001	15	27	analysis	analysis	NOUN
ejpam-6001	15	28	,	,	PUNCT
ejpam-6001	15	29	effective	effective	ADJ
ejpam-6001	15	30	reproduction	reproduction	NOUN
ejpam-6001	15	31	number	number	NOUN
ejpam-6001	15	32	,	,	PUNCT
ejpam-6001	15	33	fractional	fractional	ADJ
ejpam-6001	15	34	numerical	numerical	ADJ
ejpam-6001	15	35	analysis	analysis	NOUN
ejpam-6001	15	36	∗corresponding	∗corresponde	VERB
ejpam-6001	15	37	author	author	NOUN
ejpam-6001	15	38	.	.	PUNCT
ejpam-6001	16	1	doi	doi	NOUN
ejpam-6001	16	2	:	:	PUNCT
ejpam-6001	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6001	https://doi.org/10.29020/nybg.ejpam.v18i2.6001	PROPN
ejpam-6001	16	4	email	email	NOUN
ejpam-6001	16	5	addresses	address	VERB
ejpam-6001	16	6	:	:	PUNCT
ejpam-6001	17	1	muhammadriaz84@gmail.com	muhammadriaz84@gmail.com	PROPN
ejpam-6001	17	2	(	(	PUNCT
ejpam-6001	17	3	m.riaz	m.riaz	PROPN
ejpam-6001	17	4	)	)	PUNCT
ejpam-6001	17	5	,	,	PUNCT
ejpam-6001	17	6	zeeshan@yuntech.edu.tw	zeeshan@yuntech.edu.tw	PROPN
ejpam-6001	17	7	(	(	PUNCT
ejpam-6001	17	8	z.	z.	PROPN
ejpam-6001	17	9	ali	ali	PROPN
ejpam-6001	17	10	)	)	PUNCT
ejpam-6001	17	11	,	,	PUNCT
ejpam-6001	17	12	rahimmaths24@gmail.com	rahimmaths24@gmail.com	PROPN
ejpam-6001	17	13	(	(	PUNCT
ejpam-6001	17	14	r.	r.	PROPN
ejpam-6001	17	15	ud	ud	ADV
ejpam-6001	17	16	din	din	PROPN
ejpam-6001	17	17	)	)	PUNCT
ejpam-6001	17	18	,	,	PUNCT
ejpam-6001	17	19	saahmad@psu.edu.sa	saahmad@psu.edu.sa	PROPN
ejpam-6001	17	20	(	(	PUNCT
ejpam-6001	17	21	s.	s.	PROPN
ejpam-6001	17	22	ahmad	ahmad	PROPN
ejpam-6001	17	23	)	)	PUNCT
ejpam-6001	17	24	,	,	PUNCT
ejpam-6001	17	25	kamal@psu.edu.sa	kamal@psu.edu.sa	PROPN
ejpam-6001	17	26	(	(	PUNCT
ejpam-6001	17	27	k.abodayeh	k.abodayeh	PROPN
ejpam-6001	17	28	)	)	PUNCT
ejpam-6001	17	29	,	,	PUNCT
ejpam-6001	17	30	sarwarswati@gmail.com	sarwarswati@gmail.com	X
ejpam-6001	17	31	(	(	PUNCT
ejpam-6001	17	32	m.sarwar	m.sarwar	NOUN
ejpam-6001	17	33	)	)	PUNCT
ejpam-6001	17	34	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6001	17	35	1	1	NUM
ejpam-6001	17	36	copyright	copyright	NOUN
ejpam-6001	17	37	:	:	PUNCT
ejpam-6001	17	38	©	©	PROPN
ejpam-6001	17	39	2025	2025	NUM
ejpam-6001	17	40	the	the	DET
ejpam-6001	17	41	author(s	author(s	NOUN
ejpam-6001	17	42	)	)	PUNCT
ejpam-6001	17	43	.	.	PUNCT
ejpam-6001	18	1	(	(	PUNCT
ejpam-6001	18	2	cc	cc	NOUN
ejpam-6001	18	3	by	by	ADP
ejpam-6001	18	4	-	-	PUNCT
ejpam-6001	18	5	nc	nc	PROPN
ejpam-6001	18	6	4.0	4.0	NUM
ejpam-6001	18	7	)	)	PUNCT
ejpam-6001	18	8	m.	m.	NOUN
ejpam-6001	18	9	riaz	riaz	PROPN
ejpam-6001	18	10	et	et	PROPN
ejpam-6001	18	11	al	al	PROPN
ejpam-6001	18	12	.	.	PUNCT
ejpam-6001	18	13	/	/	SYM
ejpam-6001	18	14	eur	eur	PROPN
ejpam-6001	18	15	.	.	PUNCT
ejpam-6001	19	1	j.	j.	PROPN
ejpam-6001	19	2	pure	pure	PROPN
ejpam-6001	19	3	appl	appl	PROPN
ejpam-6001	19	4	.	.	PROPN
ejpam-6001	19	5	math	math	PROPN
ejpam-6001	19	6	,	,	PUNCT
ejpam-6001	19	7	18	18	NUM
ejpam-6001	19	8	(	(	PUNCT
ejpam-6001	19	9	2	2	NUM
ejpam-6001	19	10	)	)	PUNCT
ejpam-6001	19	11	(	(	PUNCT
ejpam-6001	19	12	2025	2025	NUM
ejpam-6001	19	13	)	)	PUNCT
ejpam-6001	19	14	,	,	PUNCT
ejpam-6001	19	15	6001	6001	NUM
ejpam-6001	19	16	2	2	NUM
ejpam-6001	19	17	of	of	ADP
ejpam-6001	19	18	27	27	NUM
ejpam-6001	19	19	1	1	NUM
ejpam-6001	19	20	.	.	PUNCT
ejpam-6001	19	21	introduction	introduction	NOUN
ejpam-6001	19	22	in	in	ADP
ejpam-6001	19	23	december	december	PROPN
ejpam-6001	19	24	2019	2019	NUM
ejpam-6001	19	25	,	,	PUNCT
ejpam-6001	19	26	it	it	PRON
ejpam-6001	19	27	was	be	AUX
ejpam-6001	19	28	reported	report	VERB
ejpam-6001	19	29	that	that	SCONJ
ejpam-6001	19	30	wuhan	wuhan	PROPN
ejpam-6001	19	31	,	,	PUNCT
ejpam-6001	19	32	china	china	PROPN
ejpam-6001	19	33	,	,	PUNCT
ejpam-6001	19	34	has	have	AUX
ejpam-6001	19	35	been	be	AUX
ejpam-6001	19	36	severely	severely	ADV
ejpam-6001	19	37	impacted	impact	VERB
ejpam-6001	19	38	by	by	ADP
ejpam-6001	19	39	a	a	DET
ejpam-6001	19	40	new	new	ADJ
ejpam-6001	19	41	type	type	NOUN
ejpam-6001	19	42	of	of	ADP
ejpam-6001	19	43	virus	virus	NOUN
ejpam-6001	19	44	called	call	VERB
ejpam-6001	19	45	corona	corona	NOUN
ejpam-6001	20	1	[	[	X
ejpam-6001	20	2	1	1	NUM
ejpam-6001	20	3	,	,	PUNCT
ejpam-6001	20	4	2	2	NUM
ejpam-6001	20	5	]	]	PUNCT
ejpam-6001	20	6	.	.	PUNCT
ejpam-6001	21	1	the	the	DET
ejpam-6001	21	2	international	international	ADJ
ejpam-6001	21	3	committee	committee	NOUN
ejpam-6001	21	4	on	on	ADP
ejpam-6001	21	5	taxonomy	taxonomy	NOUN
ejpam-6001	21	6	of	of	ADP
ejpam-6001	21	7	viruses	virus	NOUN
ejpam-6001	21	8	designated	designate	VERB
ejpam-6001	21	9	it	it	PRON
ejpam-6001	21	10	as	as	ADP
ejpam-6001	21	11	sars	sar	NOUN
ejpam-6001	21	12	-	-	PUNCT
ejpam-6001	21	13	cov-2	cov-2	PART
ejpam-6001	21	14	(	(	PUNCT
ejpam-6001	21	15	severe	severe	ADJ
ejpam-6001	21	16	acute	acute	ADJ
ejpam-6001	21	17	respiratory	respiratory	ADJ
ejpam-6001	21	18	syndrome	syndrome	NOUN
ejpam-6001	21	19	coronavirus	coronavirus	NOUN
ejpam-6001	21	20	2	2	NUM
ejpam-6001	21	21	)	)	PUNCT
ejpam-6001	21	22	in	in	ADP
ejpam-6001	21	23	february	february	PROPN
ejpam-6001	21	24	2020	2020	NUM
ejpam-6001	21	25	,	,	PUNCT
ejpam-6001	21	26	as	as	SCONJ
ejpam-6001	21	27	stated	state	VERB
ejpam-6001	21	28	by	by	ADP
ejpam-6001	21	29	[	[	X
ejpam-6001	21	30	3–6	3–6	NUM
ejpam-6001	21	31	]	]	X
ejpam-6001	21	32	.	.	PUNCT
ejpam-6001	22	1	first	first	ADV
ejpam-6001	22	2	,	,	PUNCT
ejpam-6001	22	3	the	the	DET
ejpam-6001	22	4	aforementioned	aforementioned	ADJ
ejpam-6001	22	5	virus	virus	NOUN
ejpam-6001	22	6	struck	strike	VERB
ejpam-6001	22	7	wuhan	wuhan	PROPN
ejpam-6001	22	8	,	,	PUNCT
ejpam-6001	22	9	china	china	PROPN
ejpam-6001	22	10	,	,	PUNCT
ejpam-6001	22	11	and	and	CCONJ
ejpam-6001	22	12	eventually	eventually	ADV
ejpam-6001	22	13	spread	spread	VERB
ejpam-6001	22	14	to	to	ADP
ejpam-6001	22	15	practically	practically	ADV
ejpam-6001	22	16	every	every	PRON
ejpam-6001	22	17	city	city	NOUN
ejpam-6001	22	18	in	in	ADP
ejpam-6001	22	19	the	the	DET
ejpam-6001	22	20	world	world	NOUN
ejpam-6001	22	21	as	as	ADP
ejpam-6001	22	22	a	a	DET
ejpam-6001	22	23	result	result	NOUN
ejpam-6001	22	24	of	of	ADP
ejpam-6001	22	25	the	the	DET
ejpam-6001	22	26	outbreak	outbreak	NOUN
ejpam-6001	22	27	.	.	PUNCT
ejpam-6001	23	1	millions	million	NOUN
ejpam-6001	23	2	of	of	ADP
ejpam-6001	23	3	people	people	NOUN
ejpam-6001	23	4	died	die	VERB
ejpam-6001	23	5	as	as	ADP
ejpam-6001	23	6	a	a	DET
ejpam-6001	23	7	result	result	NOUN
ejpam-6001	23	8	of	of	ADP
ejpam-6001	23	9	it	it	PRON
ejpam-6001	23	10	worldwide	worldwide	ADV
ejpam-6001	23	11	.	.	PUNCT
ejpam-6001	24	1	it	it	PRON
ejpam-6001	24	2	is	be	AUX
ejpam-6001	24	3	difficult	difficult	ADJ
ejpam-6001	24	4	to	to	PART
ejpam-6001	24	5	pinpoint	pinpoint	VERB
ejpam-6001	24	6	a	a	DET
ejpam-6001	24	7	single	single	ADJ
ejpam-6001	24	8	theory	theory	NOUN
ejpam-6001	24	9	regarding	regard	VERB
ejpam-6001	24	10	the	the	DET
ejpam-6001	24	11	origin	origin	NOUN
ejpam-6001	24	12	of	of	ADP
ejpam-6001	24	13	the	the	DET
ejpam-6001	24	14	aforementioned	aforementioned	ADJ
ejpam-6001	24	15	virus	virus	NOUN
ejpam-6001	24	16	.	.	PUNCT
ejpam-6001	25	1	some	some	DET
ejpam-6001	25	2	theories	theory	NOUN
ejpam-6001	25	3	include	include	VERB
ejpam-6001	25	4	the	the	DET
ejpam-6001	25	5	seafood	seafood	NOUN
ejpam-6001	25	6	market	market	NOUN
ejpam-6001	25	7	,	,	PUNCT
ejpam-6001	25	8	human	human	ADJ
ejpam-6001	25	9	migration	migration	NOUN
ejpam-6001	25	10	from	from	ADP
ejpam-6001	25	11	one	one	NUM
ejpam-6001	25	12	location	location	NOUN
ejpam-6001	25	13	to	to	ADP
ejpam-6001	25	14	another	another	PRON
ejpam-6001	25	15	brought	bring	VERB
ejpam-6001	25	16	on	on	ADP
ejpam-6001	25	17	by	by	ADP
ejpam-6001	25	18	animal	animal	NOUN
ejpam-6001	25	19	transmission	transmission	NOUN
ejpam-6001	25	20	,	,	PUNCT
ejpam-6001	25	21	or	or	CCONJ
ejpam-6001	25	22	human	human	NOUN
ejpam-6001	25	23	-	-	PUNCT
ejpam-6001	25	24	to	to	ADP
ejpam-6001	25	25	-	-	PUNCT
ejpam-6001	25	26	human	human	ADJ
ejpam-6001	25	27	contact	contact	NOUN
ejpam-6001	25	28	.	.	PUNCT
ejpam-6001	26	1	this	this	DET
ejpam-6001	26	2	virus	virus	NOUN
ejpam-6001	26	3	has	have	AUX
ejpam-6001	26	4	taken	take	VERB
ejpam-6001	26	5	all	all	DET
ejpam-6001	26	6	the	the	DET
ejpam-6001	26	7	countries	country	NOUN
ejpam-6001	26	8	of	of	ADP
ejpam-6001	26	9	the	the	DET
ejpam-6001	26	10	world	world	NOUN
ejpam-6001	26	11	in	in	ADP
ejpam-6001	26	12	its	its	PRON
ejpam-6001	26	13	grip	grip	NOUN
ejpam-6001	26	14	.	.	PUNCT
ejpam-6001	27	1	virtually	virtually	ADV
ejpam-6001	27	2	every	every	DET
ejpam-6001	27	3	aspect	aspect	NOUN
ejpam-6001	27	4	of	of	ADP
ejpam-6001	27	5	life	life	NOUN
ejpam-6001	27	6	has	have	AUX
ejpam-6001	27	7	been	be	AUX
ejpam-6001	27	8	negatively	negatively	ADV
ejpam-6001	27	9	impacted	impact	VERB
ejpam-6001	27	10	,	,	PUNCT
ejpam-6001	27	11	including	include	VERB
ejpam-6001	27	12	social	social	ADJ
ejpam-6001	27	13	life	life	NOUN
ejpam-6001	27	14	,	,	PUNCT
ejpam-6001	27	15	health	health	NOUN
ejpam-6001	27	16	,	,	PUNCT
ejpam-6001	27	17	the	the	DET
ejpam-6001	27	18	economy	economy	NOUN
ejpam-6001	27	19	and	and	CCONJ
ejpam-6001	27	20	education	education	NOUN
ejpam-6001	27	21	.	.	PUNCT
ejpam-6001	28	1	health	health	NOUN
ejpam-6001	28	2	researchers	researcher	NOUN
ejpam-6001	28	3	,	,	PUNCT
ejpam-6001	28	4	national	national	ADJ
ejpam-6001	28	5	policymakers	policymaker	NOUN
ejpam-6001	28	6	,	,	PUNCT
ejpam-6001	28	7	and	and	CCONJ
ejpam-6001	28	8	the	the	DET
ejpam-6001	28	9	medical	medical	ADJ
ejpam-6001	28	10	community	community	NOUN
ejpam-6001	28	11	are	be	AUX
ejpam-6001	28	12	at	at	ADP
ejpam-6001	28	13	a	a	DET
ejpam-6001	28	14	loss	loss	NOUN
ejpam-6001	28	15	as	as	ADP
ejpam-6001	28	16	to	to	ADP
ejpam-6001	28	17	how	how	SCONJ
ejpam-6001	28	18	to	to	PART
ejpam-6001	28	19	contain	contain	VERB
ejpam-6001	28	20	this	this	DET
ejpam-6001	28	21	lethal	lethal	ADJ
ejpam-6001	28	22	outbreak	outbreak	NOUN
ejpam-6001	28	23	.	.	PUNCT
ejpam-6001	29	1	they	they	PRON
ejpam-6001	29	2	are	be	AUX
ejpam-6001	29	3	all	all	ADV
ejpam-6001	29	4	watching	watch	VERB
ejpam-6001	29	5	the	the	DET
ejpam-6001	29	6	scenario	scenario	NOUN
ejpam-6001	29	7	from	from	ADP
ejpam-6001	29	8	different	different	ADJ
ejpam-6001	29	9	points	point	NOUN
ejpam-6001	29	10	of	of	ADP
ejpam-6001	29	11	view	view	NOUN
ejpam-6001	29	12	.	.	PUNCT
ejpam-6001	30	1	they	they	PRON
ejpam-6001	30	2	are	be	AUX
ejpam-6001	30	3	making	make	VERB
ejpam-6001	30	4	a	a	DET
ejpam-6001	30	5	lot	lot	NOUN
ejpam-6001	30	6	of	of	ADP
ejpam-6001	30	7	effort	effort	NOUN
ejpam-6001	30	8	to	to	PART
ejpam-6001	30	9	at	at	ADP
ejpam-6001	30	10	least	least	ADJ
ejpam-6001	30	11	reduce	reduce	VERB
ejpam-6001	30	12	the	the	DET
ejpam-6001	30	13	number	number	NOUN
ejpam-6001	30	14	of	of	ADP
ejpam-6001	30	15	fatalities	fatality	NOUN
ejpam-6001	30	16	brought	bring	VERB
ejpam-6001	30	17	on	on	ADP
ejpam-6001	30	18	by	by	ADP
ejpam-6001	30	19	this	this	DET
ejpam-6001	30	20	outbreak	outbreak	NOUN
ejpam-6001	30	21	.	.	PUNCT
ejpam-6001	31	1	individuals	individual	NOUN
ejpam-6001	31	2	who	who	PRON
ejpam-6001	31	3	contract	contract	VERB
ejpam-6001	31	4	this	this	DET
ejpam-6001	31	5	pandemic	pandemic	NOUN
ejpam-6001	31	6	often	often	ADV
ejpam-6001	31	7	have	have	VERB
ejpam-6001	31	8	mild	mild	ADJ
ejpam-6001	31	9	respiratory	respiratory	ADJ
ejpam-6001	31	10	symptoms	symptom	NOUN
ejpam-6001	31	11	.	.	PUNCT
ejpam-6001	32	1	the	the	DET
ejpam-6001	32	2	signs	sign	NOUN
ejpam-6001	32	3	of	of	ADP
ejpam-6001	32	4	this	this	DET
ejpam-6001	32	5	condition	condition	NOUN
ejpam-6001	32	6	include	include	VERB
ejpam-6001	32	7	fever	fever	NOUN
ejpam-6001	32	8	,	,	PUNCT
ejpam-6001	32	9	fatigue	fatigue	NOUN
ejpam-6001	32	10	,	,	PUNCT
ejpam-6001	32	11	a	a	DET
ejpam-6001	32	12	dry	dry	ADJ
ejpam-6001	32	13	cough	cough	NOUN
ejpam-6001	32	14	,	,	PUNCT
ejpam-6001	32	15	and	and	CCONJ
ejpam-6001	32	16	a	a	DET
ejpam-6001	32	17	throat	throat	NOUN
ejpam-6001	32	18	infection	infection	NOUN
ejpam-6001	32	19	.	.	PUNCT
ejpam-6001	33	1	a	a	DET
ejpam-6001	33	2	sore	sore	ADJ
ejpam-6001	33	3	throat	throat	NOUN
ejpam-6001	33	4	,	,	PUNCT
ejpam-6001	33	5	pain	pain	NOUN
ejpam-6001	33	6	,	,	PUNCT
ejpam-6001	33	7	and	and	CCONJ
ejpam-6001	33	8	a	a	DET
ejpam-6001	33	9	sinus	sinus	NOUN
ejpam-6001	33	10	infection	infection	NOUN
ejpam-6001	33	11	are	be	AUX
ejpam-6001	33	12	possible	possible	ADJ
ejpam-6001	33	13	symptoms	symptom	NOUN
ejpam-6001	33	14	.	.	PUNCT
ejpam-6001	34	1	in	in	ADP
ejpam-6001	34	2	response	response	NOUN
ejpam-6001	34	3	to	to	ADP
ejpam-6001	34	4	covid-19	covid-19	PROPN
ejpam-6001	34	5	,	,	PUNCT
ejpam-6001	34	6	world	world	NOUN
ejpam-6001	34	7	health	health	NOUN
ejpam-6001	34	8	organization	organization	NOUN
ejpam-6001	34	9	(	(	PUNCT
ejpam-6001	34	10	who	who	PRON
ejpam-6001	34	11	)	)	PUNCT
ejpam-6001	34	12	played	play	VERB
ejpam-6001	34	13	a	a	DET
ejpam-6001	34	14	vital	vital	ADJ
ejpam-6001	34	15	role	role	NOUN
ejpam-6001	34	16	in	in	ADP
ejpam-6001	34	17	the	the	DET
ejpam-6001	34	18	disease	disease	NOUN
ejpam-6001	34	19	control	control	NOUN
ejpam-6001	34	20	.	.	PUNCT
ejpam-6001	35	1	during	during	ADP
ejpam-6001	35	2	pandemic	pandemic	ADJ
ejpam-6001	35	3	who	who	PRON
ejpam-6001	35	4	stay	stay	VERB
ejpam-6001	35	5	focused	focused	ADJ
ejpam-6001	35	6	on	on	ADP
ejpam-6001	35	7	surveillance	surveillance	NOUN
ejpam-6001	35	8	,	,	PUNCT
ejpam-6001	35	9	vaccination	vaccination	NOUN
ejpam-6001	35	10	,	,	PUNCT
ejpam-6001	35	11	and	and	CCONJ
ejpam-6001	35	12	strengthening	strengthen	VERB
ejpam-6001	35	13	healthcare	healthcare	NOUN
ejpam-6001	35	14	system	system	NOUN
ejpam-6001	35	15	.	.	PUNCT
ejpam-6001	36	1	their	their	PRON
ejpam-6001	36	2	efforts	effort	NOUN
ejpam-6001	36	3	provide	provide	VERB
ejpam-6001	36	4	a	a	DET
ejpam-6001	36	5	crucial	crucial	ADJ
ejpam-6001	36	6	framework	framework	NOUN
ejpam-6001	36	7	for	for	ADP
ejpam-6001	36	8	ongoing	ongoing	ADJ
ejpam-6001	36	9	global	global	ADJ
ejpam-6001	36	10	cooperation	cooperation	NOUN
ejpam-6001	36	11	to	to	PART
ejpam-6001	36	12	manage	manage	VERB
ejpam-6001	36	13	and	and	CCONJ
ejpam-6001	36	14	control	control	VERB
ejpam-6001	36	15	covid-19	covid-19	PROPN
ejpam-6001	36	16	pandemic	pandemic	NOUN
ejpam-6001	36	17	.	.	PUNCT
ejpam-6001	37	1	for	for	ADP
ejpam-6001	37	2	more	more	ADJ
ejpam-6001	37	3	detail	detail	NOUN
ejpam-6001	37	4	regarding	regard	VERB
ejpam-6001	37	5	efforts	effort	NOUN
ejpam-6001	37	6	of	of	ADP
ejpam-6001	37	7	who	who	PRON
ejpam-6001	37	8	for	for	ADP
ejpam-6001	37	9	covid-19	covid-19	PROPN
ejpam-6001	37	10	control	control	NOUN
ejpam-6001	37	11	,	,	PUNCT
ejpam-6001	37	12	see	see	VERB
ejpam-6001	37	13	[	[	X
ejpam-6001	37	14	7	7	NUM
ejpam-6001	37	15	,	,	PUNCT
ejpam-6001	37	16	8	8	NUM
ejpam-6001	37	17	]	]	PUNCT
ejpam-6001	37	18	.	.	PUNCT
ejpam-6001	38	1	mathematicians	mathematician	NOUN
ejpam-6001	38	2	played	play	VERB
ejpam-6001	38	3	a	a	DET
ejpam-6001	38	4	vital	vital	ADJ
ejpam-6001	38	5	role	role	NOUN
ejpam-6001	38	6	during	during	ADP
ejpam-6001	38	7	covid-19	covid-19	PROPN
ejpam-6001	38	8	pandemic	pandemic	NOUN
ejpam-6001	38	9	.	.	PUNCT
ejpam-6001	39	1	they	they	PRON
ejpam-6001	39	2	provide	provide	VERB
ejpam-6001	39	3	best	good	ADJ
ejpam-6001	39	4	predictive	predictive	ADJ
ejpam-6001	39	5	mathematical	mathematical	ADJ
ejpam-6001	39	6	models	model	NOUN
ejpam-6001	39	7	to	to	PART
ejpam-6001	39	8	help	help	VERB
ejpam-6001	39	9	medical	medical	ADJ
ejpam-6001	39	10	researcher	researcher	NOUN
ejpam-6001	39	11	and	and	CCONJ
ejpam-6001	39	12	policy	policy	NOUN
ejpam-6001	39	13	makers	maker	NOUN
ejpam-6001	39	14	in	in	ADP
ejpam-6001	39	15	controlling	control	VERB
ejpam-6001	39	16	the	the	DET
ejpam-6001	39	17	spread	spread	NOUN
ejpam-6001	39	18	of	of	ADP
ejpam-6001	39	19	the	the	DET
ejpam-6001	39	20	disease	disease	NOUN
ejpam-6001	39	21	.	.	PUNCT
ejpam-6001	40	1	for	for	ADP
ejpam-6001	40	2	more	more	ADV
ejpam-6001	40	3	detailed	detailed	ADJ
ejpam-6001	40	4	study	study	NOUN
ejpam-6001	40	5	,	,	PUNCT
ejpam-6001	40	6	see	see	VERB
ejpam-6001	40	7	[	[	X
ejpam-6001	40	8	9–12	9–12	X
ejpam-6001	40	9	]	]	PUNCT
ejpam-6001	40	10	.	.	PUNCT
ejpam-6001	41	1	recently	recently	ADV
ejpam-6001	41	2	,	,	PUNCT
ejpam-6001	41	3	non	non	ADJ
ejpam-6001	41	4	-	-	ADJ
ejpam-6001	41	5	integer	integer	ADJ
ejpam-6001	41	6	order	order	NOUN
ejpam-6001	41	7	and	and	CCONJ
ejpam-6001	41	8	nonlocal	nonlocal	ADJ
ejpam-6001	41	9	derivatives	derivative	NOUN
ejpam-6001	41	10	of	of	ADP
ejpam-6001	41	11	fractional	fractional	ADJ
ejpam-6001	41	12	order	order	NOUN
ejpam-6001	41	13	have	have	AUX
ejpam-6001	41	14	been	be	AUX
ejpam-6001	41	15	added	add	VERB
ejpam-6001	41	16	to	to	ADP
ejpam-6001	41	17	the	the	DET
ejpam-6001	41	18	modelling	modelling	ADJ
ejpam-6001	41	19	domain	domain	NOUN
ejpam-6001	41	20	[	[	PUNCT
ejpam-6001	41	21	13	13	NUM
ejpam-6001	41	22	–	–	PUNCT
ejpam-6001	41	23	16	16	NUM
ejpam-6001	41	24	]	]	PUNCT
ejpam-6001	41	25	.	.	PUNCT
ejpam-6001	42	1	the	the	DET
ejpam-6001	42	2	dynamics	dynamic	NOUN
ejpam-6001	42	3	of	of	ADP
ejpam-6001	42	4	the	the	DET
ejpam-6001	42	5	spread	spread	NOUN
ejpam-6001	42	6	of	of	ADP
ejpam-6001	42	7	a	a	DET
ejpam-6001	42	8	particular	particular	ADJ
ejpam-6001	42	9	disease	disease	NOUN
ejpam-6001	42	10	are	be	AUX
ejpam-6001	42	11	understood	understand	VERB
ejpam-6001	42	12	using	use	VERB
ejpam-6001	42	13	mathematical	mathematical	ADJ
ejpam-6001	42	14	models	model	NOUN
ejpam-6001	42	15	,	,	PUNCT
ejpam-6001	42	16	which	which	PRON
ejpam-6001	42	17	can	can	AUX
ejpam-6001	42	18	be	be	AUX
ejpam-6001	42	19	useful	useful	ADJ
ejpam-6001	42	20	and	and	CCONJ
ejpam-6001	42	21	provide	provide	VERB
ejpam-6001	42	22	a	a	DET
ejpam-6001	42	23	hand	hand	NOUN
ejpam-6001	42	24	to	to	PART
ejpam-6001	42	25	save	save	VERB
ejpam-6001	42	26	individuals	individual	NOUN
ejpam-6001	42	27	from	from	ADP
ejpam-6001	42	28	getting	getting	AUX
ejpam-6001	42	29	lost	lose	VERB
ejpam-6001	42	30	.	.	PUNCT
ejpam-6001	43	1	by	by	ADP
ejpam-6001	43	2	using	use	VERB
ejpam-6001	43	3	the	the	DET
ejpam-6001	43	4	instruments	instrument	NOUN
ejpam-6001	43	5	indicated	indicate	VERB
ejpam-6001	43	6	and	and	CCONJ
ejpam-6001	43	7	this	this	DET
ejpam-6001	43	8	technique	technique	NOUN
ejpam-6001	43	9	,	,	PUNCT
ejpam-6001	43	10	you	you	PRON
ejpam-6001	43	11	may	may	AUX
ejpam-6001	43	12	create	create	VERB
ejpam-6001	43	13	a	a	DET
ejpam-6001	43	14	plan	plan	NOUN
ejpam-6001	43	15	to	to	PART
ejpam-6001	43	16	stop	stop	VERB
ejpam-6001	43	17	the	the	DET
ejpam-6001	43	18	disease	disease	NOUN
ejpam-6001	43	19	from	from	ADP
ejpam-6001	43	20	spreading	spread	VERB
ejpam-6001	43	21	or	or	CCONJ
ejpam-6001	43	22	completely	completely	ADV
ejpam-6001	43	23	eradicate	eradicate	VERB
ejpam-6001	43	24	it	it	PRON
ejpam-6001	43	25	.	.	PUNCT
ejpam-6001	44	1	a	a	DET
ejpam-6001	44	2	number	number	NOUN
ejpam-6001	44	3	of	of	ADP
ejpam-6001	44	4	models	model	NOUN
ejpam-6001	44	5	for	for	ADP
ejpam-6001	44	6	covid-19	covid-19	PROPN
ejpam-6001	44	7	have	have	AUX
ejpam-6001	44	8	recently	recently	ADV
ejpam-6001	44	9	been	be	AUX
ejpam-6001	44	10	constructed	construct	VERB
ejpam-6001	44	11	by	by	ADP
ejpam-6001	44	12	numerous	numerous	ADJ
ejpam-6001	44	13	authors	author	NOUN
ejpam-6001	44	14	under	under	ADP
ejpam-6001	44	15	various	various	ADJ
ejpam-6001	44	16	fractional	fractional	ADJ
ejpam-6001	44	17	calculus	calculus	NOUN
ejpam-6001	44	18	concepts	concept	NOUN
ejpam-6001	44	19	.	.	PUNCT
ejpam-6001	45	1	very	very	ADV
ejpam-6001	45	2	helpful	helpful	ADJ
ejpam-6001	45	3	models	model	NOUN
ejpam-6001	45	4	have	have	AUX
ejpam-6001	45	5	been	be	AUX
ejpam-6001	45	6	developed	develop	VERB
ejpam-6001	45	7	in	in	ADP
ejpam-6001	45	8	this	this	DET
ejpam-6001	45	9	area	area	NOUN
ejpam-6001	45	10	;	;	PUNCT
ejpam-6001	45	11	some	some	PRON
ejpam-6001	45	12	of	of	ADP
ejpam-6001	45	13	these	these	PRON
ejpam-6001	45	14	are	be	AUX
ejpam-6001	45	15	referred	refer	VERB
ejpam-6001	45	16	to	to	ADP
ejpam-6001	45	17	as	as	ADP
ejpam-6001	45	18	[	[	X
ejpam-6001	45	19	17–20	17–20	NUM
ejpam-6001	45	20	]	]	PUNCT
ejpam-6001	45	21	.	.	PUNCT
ejpam-6001	46	1	since	since	SCONJ
ejpam-6001	46	2	fractional	fractional	ADJ
ejpam-6001	46	3	-	-	PUNCT
ejpam-6001	46	4	order	order	NOUN
ejpam-6001	46	5	systems	system	NOUN
ejpam-6001	46	6	are	be	AUX
ejpam-6001	46	7	more	more	ADV
ejpam-6001	46	8	thorough	thorough	ADJ
ejpam-6001	46	9	in	in	ADP
ejpam-6001	46	10	examining	examine	VERB
ejpam-6001	46	11	real	real	ADJ
ejpam-6001	46	12	-	-	PUNCT
ejpam-6001	46	13	world	world	NOUN
ejpam-6001	46	14	issues	issue	NOUN
ejpam-6001	46	15	related	relate	VERB
ejpam-6001	46	16	to	to	ADP
ejpam-6001	46	17	global	global	ADJ
ejpam-6001	46	18	dynamics	dynamic	NOUN
ejpam-6001	46	19	,	,	PUNCT
ejpam-6001	46	20	finding	find	VERB
ejpam-6001	46	21	precise	precise	ADJ
ejpam-6001	46	22	analytical	analytical	ADJ
ejpam-6001	46	23	solutions	solution	NOUN
ejpam-6001	46	24	to	to	ADP
ejpam-6001	46	25	fractal	fractal	ADJ
ejpam-6001	46	26	-	-	PUNCT
ejpam-6001	46	27	order	order	NOUN
ejpam-6001	46	28	systems	system	NOUN
ejpam-6001	46	29	is	be	AUX
ejpam-6001	46	30	becoming	become	VERB
ejpam-6001	46	31	a	a	DET
ejpam-6001	46	32	challenging	challenging	ADJ
ejpam-6001	46	33	task	task	NOUN
ejpam-6001	46	34	.	.	PUNCT
ejpam-6001	47	1	some	some	DET
ejpam-6001	47	2	recent	recent	ADJ
ejpam-6001	47	3	work	work	NOUN
ejpam-6001	47	4	cited	cite	VERB
ejpam-6001	47	5	as	as	ADP
ejpam-6001	47	6	[	[	X
ejpam-6001	47	7	21	21	NUM
ejpam-6001	47	8	]	]	PUNCT
ejpam-6001	47	9	where	where	SCONJ
ejpam-6001	47	10	the	the	DET
ejpam-6001	47	11	authors	author	NOUN
ejpam-6001	47	12	developed	develop	VERB
ejpam-6001	47	13	a	a	DET
ejpam-6001	47	14	fractional	fractional	ADJ
ejpam-6001	47	15	order	order	NOUN
ejpam-6001	47	16	mathematical	mathematical	ADJ
ejpam-6001	47	17	model	model	NOUN
ejpam-6001	47	18	for	for	ADP
ejpam-6001	47	19	tuberculosis	tuberculosis	NOUN
ejpam-6001	47	20	(	(	PUNCT
ejpam-6001	47	21	tb	tb	NOUN
ejpam-6001	47	22	)	)	PUNCT
ejpam-6001	47	23	with	with	ADP
ejpam-6001	47	24	incomplete	incomplete	ADJ
ejpam-6001	47	25	treatment	treatment	NOUN
ejpam-6001	47	26	using	use	VERB
ejpam-6001	47	27	the	the	DET
ejpam-6001	47	28	atanganabaleano	atanganabaleano	PROPN
ejpam-6001	47	29	-	-	PROPN
ejpam-6001	47	30	caputo	caputo	PROPN
ejpam-6001	47	31	(	(	PUNCT
ejpam-6001	47	32	abc	abc	PROPN
ejpam-6001	47	33	)	)	PUNCT
ejpam-6001	47	34	derivate	derivate	NOUN
ejpam-6001	47	35	.	.	PUNCT
ejpam-6001	48	1	another	another	DET
ejpam-6001	48	2	useful	useful	ADJ
ejpam-6001	48	3	work	work	NOUN
ejpam-6001	48	4	where	where	SCONJ
ejpam-6001	48	5	the	the	DET
ejpam-6001	48	6	authors	author	NOUN
ejpam-6001	48	7	developed	develop	VERB
ejpam-6001	48	8	a	a	DET
ejpam-6001	48	9	fractional	fractional	ADJ
ejpam-6001	48	10	order	order	NOUN
ejpam-6001	48	11	mathematical	mathematical	ADJ
ejpam-6001	48	12	model	model	NOUN
ejpam-6001	48	13	for	for	ADP
ejpam-6001	48	14	the	the	DET
ejpam-6001	48	15	investigating	investigate	VERB
ejpam-6001	48	16	the	the	DET
ejpam-6001	48	17	dynamics	dynamic	NOUN
ejpam-6001	48	18	of	of	ADP
ejpam-6001	48	19	tumor	tumor	NOUN
ejpam-6001	48	20	-	-	PUNCT
ejpam-6001	48	21	immune	immune	ADJ
ejpam-6001	48	22	cell	cell	NOUN
ejpam-6001	48	23	interactions	interaction	NOUN
ejpam-6001	48	24	using	use	VERB
ejpam-6001	48	25	fractional	fractional	ADJ
ejpam-6001	48	26	calculus	calculus	NOUN
ejpam-6001	48	27	,	,	PUNCT
ejpam-6001	48	28	is	be	AUX
ejpam-6001	48	29	cited	cite	VERB
ejpam-6001	48	30	as	as	ADP
ejpam-6001	48	31	[	[	X
ejpam-6001	48	32	22	22	NUM
ejpam-6001	48	33	]	]	PUNCT
ejpam-6001	48	34	.	.	PUNCT
ejpam-6001	49	1	a	a	DET
ejpam-6001	49	2	model	model	NOUN
ejpam-6001	49	3	for	for	ADP
ejpam-6001	49	4	dengue	dengue	NOUN
ejpam-6001	49	5	fever	fever	NOUN
ejpam-6001	49	6	transmission	transmission	NOUN
ejpam-6001	49	7	incorporating	incorporate	VERB
ejpam-6001	49	8	the	the	DET
ejpam-6001	49	9	key	key	ADJ
ejpam-6001	49	10	factors	factor	NOUN
ejpam-6001	49	11	like	like	ADP
ejpam-6001	49	12	reinfection	reinfection	NOUN
ejpam-6001	49	13	,	,	PUNCT
ejpam-6001	49	14	vaccination	vaccination	NOUN
ejpam-6001	49	15	,	,	PUNCT
ejpam-6001	49	16	therapy	therapy	NOUN
ejpam-6001	49	17	,	,	PUNCT
ejpam-6001	49	18	and	and	CCONJ
ejpam-6001	49	19	asymptotic	asymptotic	ADJ
ejpam-6001	49	20	m.	m.	NOUN
ejpam-6001	49	21	riaz	riaz	PROPN
ejpam-6001	49	22	et	et	PROPN
ejpam-6001	49	23	al	al	PROPN
ejpam-6001	49	24	.	.	PUNCT
ejpam-6001	49	25	/	/	SYM
ejpam-6001	49	26	eur	eur	PROPN
ejpam-6001	49	27	.	.	PUNCT
ejpam-6001	50	1	j.	j.	PROPN
ejpam-6001	50	2	pure	pure	PROPN
ejpam-6001	50	3	appl	appl	PROPN
ejpam-6001	50	4	.	.	PROPN
ejpam-6001	50	5	math	math	PROPN
ejpam-6001	50	6	,	,	PUNCT
ejpam-6001	50	7	18	18	NUM
ejpam-6001	50	8	(	(	PUNCT
ejpam-6001	50	9	2	2	NUM
ejpam-6001	50	10	)	)	PUNCT
ejpam-6001	50	11	(	(	PUNCT
ejpam-6001	50	12	2025	2025	NUM
ejpam-6001	50	13	)	)	PUNCT
ejpam-6001	50	14	,	,	PUNCT
ejpam-6001	50	15	6001	6001	NUM
ejpam-6001	50	16	3	3	NUM
ejpam-6001	50	17	of	of	ADP
ejpam-6001	50	18	27	27	NUM
ejpam-6001	50	19	carriers	carrier	NOUN
ejpam-6001	50	20	analyzed	analyze	VERB
ejpam-6001	50	21	by	by	ADP
ejpam-6001	50	22	the	the	DET
ejpam-6001	50	23	authors	author	NOUN
ejpam-6001	50	24	in	in	ADP
ejpam-6001	50	25	[	[	NOUN
ejpam-6001	50	26	23	23	NUM
ejpam-6001	50	27	]	]	PUNCT
ejpam-6001	50	28	using	use	VERB
ejpam-6001	50	29	fixed	fix	VERB
ejpam-6001	50	30	point	point	NOUN
ejpam-6001	50	31	theorem	theorem	ADJ
ejpam-6001	50	32	to	to	PART
ejpam-6001	50	33	prove	prove	VERB
ejpam-6001	50	34	the	the	DET
ejpam-6001	50	35	ulamhyers	ulamhyer	NOUN
ejpam-6001	50	36	stability	stability	NOUN
ejpam-6001	50	37	.	.	PUNCT
ejpam-6001	51	1	the	the	DET
ejpam-6001	51	2	authors	author	NOUN
ejpam-6001	51	3	analyzed	analyze	VERB
ejpam-6001	51	4	a	a	DET
ejpam-6001	51	5	fractional	fractional	ADJ
ejpam-6001	51	6	order	order	NOUN
ejpam-6001	51	7	mathematical	mathematical	ADJ
ejpam-6001	51	8	model	model	NOUN
ejpam-6001	51	9	for	for	ADP
ejpam-6001	51	10	chronic	chronic	ADJ
ejpam-6001	51	11	myelogenous	myelogenous	ADJ
ejpam-6001	51	12	leukemia	leukemia	NOUN
ejpam-6001	51	13	(	(	PUNCT
ejpam-6001	51	14	cml	cml	PROPN
ejpam-6001	51	15	)	)	PUNCT
ejpam-6001	51	16	by	by	ADP
ejpam-6001	51	17	proving	prove	VERB
ejpam-6001	51	18	existence	existence	NOUN
ejpam-6001	51	19	,	,	PUNCT
ejpam-6001	51	20	uniqueness	uniqueness	NOUN
ejpam-6001	51	21	,	,	PUNCT
ejpam-6001	51	22	and	and	CCONJ
ejpam-6001	51	23	ulam	ulam	NOUN
ejpam-6001	51	24	-	-	PUNCT
ejpam-6001	51	25	hyers	hyer	NOUN
ejpam-6001	51	26	stability	stability	NOUN
ejpam-6001	51	27	employing	employ	VERB
ejpam-6001	51	28	banach	banach	NOUN
ejpam-6001	51	29	and	and	CCONJ
ejpam-6001	51	30	schaefer	schaefer	PROPN
ejpam-6001	51	31	fixed	fix	VERB
ejpam-6001	51	32	point	point	NOUN
ejpam-6001	51	33	theorems	theorem	NOUN
ejpam-6001	51	34	in	in	ADP
ejpam-6001	51	35	[	[	X
ejpam-6001	51	36	24	24	NUM
ejpam-6001	51	37	]	]	PUNCT
ejpam-6001	51	38	.	.	PUNCT
ejpam-6001	52	1	for	for	ADP
ejpam-6001	52	2	fractional	fractional	ADJ
ejpam-6001	52	3	order	order	NOUN
ejpam-6001	52	4	mathematical	mathematical	ADJ
ejpam-6001	52	5	model	model	NOUN
ejpam-6001	52	6	of	of	ADP
ejpam-6001	52	7	human	human	ADJ
ejpam-6001	52	8	immunodeficiency	immunodeficiency	NOUN
ejpam-6001	52	9	virus	virus	NOUN
ejpam-6001	52	10	(	(	PUNCT
ejpam-6001	52	11	hiv	hiv	NOUN
ejpam-6001	52	12	)	)	PUNCT
ejpam-6001	52	13	infection	infection	NOUN
ejpam-6001	52	14	using	use	VERB
ejpam-6001	52	15	caputo	caputo	PROPN
ejpam-6001	52	16	-	-	PUNCT
ejpam-6001	52	17	fibrizio	fibrizio	PROPN
ejpam-6001	52	18	derivative	derivative	NOUN
ejpam-6001	52	19	the	the	DET
ejpam-6001	52	20	article	article	NOUN
ejpam-6001	52	21	[	[	X
ejpam-6001	52	22	25	25	NUM
ejpam-6001	52	23	]	]	PUNCT
ejpam-6001	52	24	is	be	AUX
ejpam-6001	52	25	cited	cite	VERB
ejpam-6001	52	26	hare	hare	NOUN
ejpam-6001	52	27	for	for	ADP
ejpam-6001	52	28	more	more	ADJ
ejpam-6001	52	29	information	information	NOUN
ejpam-6001	52	30	about	about	ADP
ejpam-6001	52	31	application	application	NOUN
ejpam-6001	52	32	of	of	ADP
ejpam-6001	52	33	fractional	fractional	ADJ
ejpam-6001	52	34	calculus	calculus	NOUN
ejpam-6001	52	35	to	to	PART
ejpam-6001	52	36	study	study	VERB
ejpam-6001	52	37	mathematical	mathematical	ADJ
ejpam-6001	52	38	models	model	NOUN
ejpam-6001	52	39	infectious	infectious	ADJ
ejpam-6001	52	40	disease	disease	NOUN
ejpam-6001	52	41	.	.	PUNCT
ejpam-6001	53	1	incidence	incidence	NOUN
ejpam-6001	53	2	rates	rate	NOUN
ejpam-6001	53	3	,	,	PUNCT
ejpam-6001	53	4	a	a	DET
ejpam-6001	53	5	unique	unique	ADJ
ejpam-6001	53	6	function	function	NOUN
ejpam-6001	53	7	included	include	VERB
ejpam-6001	53	8	in	in	ADP
ejpam-6001	53	9	epidemic	epidemic	NOUN
ejpam-6001	53	10	models	model	NOUN
ejpam-6001	53	11	,	,	PUNCT
ejpam-6001	53	12	describe	describe	VERB
ejpam-6001	53	13	the	the	DET
ejpam-6001	53	14	method	method	NOUN
ejpam-6001	53	15	of	of	ADP
ejpam-6001	53	16	the	the	DET
ejpam-6001	53	17	disease	disease	NOUN
ejpam-6001	53	18	’s	’s	PART
ejpam-6001	53	19	transmission	transmission	NOUN
ejpam-6001	53	20	within	within	ADP
ejpam-6001	53	21	a	a	DET
ejpam-6001	53	22	community	community	NOUN
ejpam-6001	53	23	or	or	CCONJ
ejpam-6001	53	24	among	among	ADP
ejpam-6001	53	25	a	a	DET
ejpam-6001	53	26	host	host	NOUN
ejpam-6001	53	27	.	.	PUNCT
ejpam-6001	54	1	numerous	numerous	ADJ
ejpam-6001	54	2	forms	form	NOUN
ejpam-6001	54	3	of	of	ADP
ejpam-6001	54	4	mathematical	mathematical	ADJ
ejpam-6001	54	5	models	model	NOUN
ejpam-6001	54	6	of	of	ADP
ejpam-6001	54	7	infectious	infectious	ADJ
ejpam-6001	54	8	diseases	disease	NOUN
ejpam-6001	54	9	,	,	PUNCT
ejpam-6001	54	10	such	such	ADJ
ejpam-6001	54	11	as	as	ADP
ejpam-6001	54	12	linear	linear	ADJ
ejpam-6001	54	13	,	,	PUNCT
ejpam-6001	54	14	bilinear	bilinear	NOUN
ejpam-6001	54	15	,	,	PUNCT
ejpam-6001	54	16	concave	concave	ADJ
ejpam-6001	54	17	incidence	incidence	NOUN
ejpam-6001	54	18	rate	rate	NOUN
ejpam-6001	54	19	,	,	PUNCT
ejpam-6001	54	20	etc	etc	X
ejpam-6001	54	21	.	.	X
ejpam-6001	54	22	,	,	PUNCT
ejpam-6001	54	23	were	be	AUX
ejpam-6001	54	24	extensively	extensively	ADV
ejpam-6001	54	25	employed	employ	VERB
ejpam-6001	54	26	.	.	PUNCT
ejpam-6001	55	1	a	a	DET
ejpam-6001	55	2	convex	convex	ADJ
ejpam-6001	55	3	incidence	incidence	NOUN
ejpam-6001	55	4	rate	rate	NOUN
ejpam-6001	55	5	is	be	AUX
ejpam-6001	55	6	one	one	NUM
ejpam-6001	55	7	type	type	NOUN
ejpam-6001	55	8	of	of	ADP
ejpam-6001	55	9	incidence	incidence	NOUN
ejpam-6001	55	10	rate	rate	NOUN
ejpam-6001	55	11	that	that	PRON
ejpam-6001	55	12	is	be	AUX
ejpam-6001	55	13	defined	define	VERB
ejpam-6001	55	14	as	as	ADP
ejpam-6001	55	15	f(s	f(	NOUN
ejpam-6001	55	16	,	,	PUNCT
ejpam-6001	55	17	i	i	NOUN
ejpam-6001	55	18	)	)	PUNCT
ejpam-6001	55	19	=	=	PUNCT
ejpam-6001	56	1	ks(βs	ks(βs	PROPN
ejpam-6001	56	2	+	+	NOUN
ejpam-6001	56	3	1	1	NUM
ejpam-6001	56	4	)	)	PUNCT
ejpam-6001	56	5	.	.	PUNCT
ejpam-6001	57	1	where	where	SCONJ
ejpam-6001	57	2	k	k	PROPN
ejpam-6001	57	3	and	and	CCONJ
ejpam-6001	57	4	β	β	X
ejpam-6001	57	5	are	be	AUX
ejpam-6001	57	6	some	some	DET
ejpam-6001	57	7	constants	constant	NOUN
ejpam-6001	57	8	that	that	PRON
ejpam-6001	57	9	are	be	AUX
ejpam-6001	57	10	positive	positive	ADJ
ejpam-6001	57	11	,	,	PUNCT
ejpam-6001	57	12	and	and	CCONJ
ejpam-6001	57	13	s	s	VERB
ejpam-6001	57	14	represents	represent	VERB
ejpam-6001	57	15	the	the	DET
ejpam-6001	57	16	susceptible	susceptible	ADJ
ejpam-6001	57	17	compartment	compartment	NOUN
ejpam-6001	57	18	and	and	CCONJ
ejpam-6001	57	19	i	i	NOUN
ejpam-6001	57	20	=	=	PROPN
ejpam-6001	57	21	i1	i1	PROPN
ejpam-6001	57	22	+	+	CCONJ
ejpam-6001	57	23	i2	i2	PROPN
ejpam-6001	57	24	the	the	DET
ejpam-6001	57	25	infected	infected	ADJ
ejpam-6001	57	26	compartment	compartment	NOUN
ejpam-6001	57	27	.	.	PUNCT
ejpam-6001	58	1	the	the	DET
ejpam-6001	58	2	greatest	great	ADJ
ejpam-6001	58	3	rate	rate	NOUN
ejpam-6001	58	4	of	of	ADP
ejpam-6001	58	5	disease	disease	NOUN
ejpam-6001	58	6	transmission	transmission	NOUN
ejpam-6001	58	7	brought	bring	VERB
ejpam-6001	58	8	on	on	ADP
ejpam-6001	58	9	by	by	ADP
ejpam-6001	58	10	two	two	NUM
ejpam-6001	58	11	exposures	exposure	NOUN
ejpam-6001	58	12	over	over	ADP
ejpam-6001	58	13	a	a	DET
ejpam-6001	58	14	brief	brief	ADJ
ejpam-6001	58	15	period	period	NOUN
ejpam-6001	58	16	of	of	ADP
ejpam-6001	58	17	time	time	NOUN
ejpam-6001	58	18	is	be	AUX
ejpam-6001	58	19	known	know	VERB
ejpam-6001	58	20	as	as	ADP
ejpam-6001	58	21	the	the	DET
ejpam-6001	58	22	convex	convex	ADJ
ejpam-6001	58	23	incidence	incidence	NOUN
ejpam-6001	58	24	rate	rate	NOUN
ejpam-6001	58	25	.	.	PUNCT
ejpam-6001	59	1	whereas	whereas	SCONJ
ejpam-6001	59	2	ksi2	ksi2	NOUN
ejpam-6001	59	3	results	result	VERB
ejpam-6001	59	4	in	in	ADP
ejpam-6001	59	5	a	a	DET
ejpam-6001	59	6	double	double	ADJ
ejpam-6001	59	7	infection	infection	NOUN
ejpam-6001	59	8	,	,	PUNCT
ejpam-6001	59	9	ksi	ksi	PROPN
ejpam-6001	59	10	leads	lead	VERB
ejpam-6001	59	11	to	to	ADP
ejpam-6001	59	12	a	a	DET
ejpam-6001	59	13	single	single	ADJ
ejpam-6001	59	14	occurrence	occurrence	NOUN
ejpam-6001	59	15	.	.	PUNCT
ejpam-6001	60	1	the	the	DET
ejpam-6001	60	2	aforementioned	aforementioned	ADJ
ejpam-6001	60	3	idea	idea	NOUN
ejpam-6001	60	4	will	will	AUX
ejpam-6001	60	5	also	also	ADV
ejpam-6001	60	6	be	be	AUX
ejpam-6001	60	7	applied	apply	VERB
ejpam-6001	60	8	to	to	ADP
ejpam-6001	60	9	our	our	PRON
ejpam-6001	60	10	work	work	NOUN
ejpam-6001	60	11	.	.	PUNCT
ejpam-6001	61	1	while	while	SCONJ
ejpam-6001	61	2	cross	cross	NOUN
ejpam-6001	61	3	-	-	NOUN
ejpam-6001	61	4	immunity	immunity	NOUN
ejpam-6001	61	5	and	and	CCONJ
ejpam-6001	61	6	co	co	NOUN
ejpam-6001	61	7	-	-	NOUN
ejpam-6001	61	8	infection	infection	NOUN
ejpam-6001	61	9	have	have	AUX
ejpam-6001	61	10	been	be	AUX
ejpam-6001	61	11	taken	take	VERB
ejpam-6001	61	12	into	into	ADP
ejpam-6001	61	13	account	account	NOUN
ejpam-6001	61	14	in	in	ADP
ejpam-6001	61	15	studies	study	NOUN
ejpam-6001	61	16	on	on	ADP
ejpam-6001	61	17	the	the	DET
ejpam-6001	61	18	dynamics	dynamic	NOUN
ejpam-6001	61	19	of	of	ADP
ejpam-6001	61	20	two	two	NUM
ejpam-6001	61	21	viral	viral	ADJ
ejpam-6001	61	22	infections	infection	NOUN
ejpam-6001	61	23	[	[	X
ejpam-6001	61	24	26	26	NUM
ejpam-6001	61	25	]	]	X
ejpam-6001	61	26	,	,	PUNCT
ejpam-6001	61	27	other	other	ADJ
ejpam-6001	61	28	investigations	investigation	NOUN
ejpam-6001	61	29	characterized	characterize	VERB
ejpam-6001	61	30	the	the	DET
ejpam-6001	61	31	impact	impact	NOUN
ejpam-6001	61	32	of	of	ADP
ejpam-6001	61	33	two	two	NUM
ejpam-6001	61	34	competing	compete	VERB
ejpam-6001	61	35	strains	strain	NOUN
ejpam-6001	61	36	with	with	ADP
ejpam-6001	61	37	cross	cross	NOUN
ejpam-6001	61	38	-	-	NOUN
ejpam-6001	61	39	immunity	immunity	NOUN
ejpam-6001	61	40	[	[	X
ejpam-6001	61	41	27	27	NUM
ejpam-6001	61	42	]	]	PUNCT
ejpam-6001	61	43	.	.	PUNCT
ejpam-6001	62	1	according	accord	VERB
ejpam-6001	62	2	to	to	ADP
ejpam-6001	62	3	reports	report	NOUN
ejpam-6001	62	4	,	,	PUNCT
ejpam-6001	62	5	the	the	DET
ejpam-6001	62	6	number	number	NOUN
ejpam-6001	62	7	of	of	ADP
ejpam-6001	62	8	strains	strain	NOUN
ejpam-6001	62	9	actually	actually	ADV
ejpam-6001	62	10	grows	grow	VERB
ejpam-6001	62	11	logarithmically	logarithmically	ADV
ejpam-6001	62	12	.	.	PUNCT
ejpam-6001	63	1	the	the	DET
ejpam-6001	63	2	mean	mean	ADJ
ejpam-6001	63	3	mortality	mortality	NOUN
ejpam-6001	63	4	rate	rate	NOUN
ejpam-6001	63	5	and	and	CCONJ
ejpam-6001	63	6	the	the	DET
ejpam-6001	63	7	maximum	maximum	ADJ
ejpam-6001	63	8	number	number	NOUN
ejpam-6001	63	9	of	of	ADP
ejpam-6001	63	10	afflicted	afflict	VERB
ejpam-6001	63	11	persons	person	NOUN
ejpam-6001	63	12	[	[	X
ejpam-6001	63	13	28	28	NUM
ejpam-6001	63	14	]	]	PUNCT
ejpam-6001	63	15	.	.	PUNCT
ejpam-6001	64	1	among	among	ADP
ejpam-6001	64	2	the	the	DET
ejpam-6001	64	3	main	main	ADJ
ejpam-6001	64	4	obstacles	obstacle	NOUN
ejpam-6001	64	5	in	in	ADP
ejpam-6001	64	6	the	the	DET
ejpam-6001	64	7	current	current	ADJ
ejpam-6001	64	8	covid-19	covid-19	PROPN
ejpam-6001	64	9	pandemic	pandemic	NOUN
ejpam-6001	64	10	are	be	AUX
ejpam-6001	64	11	reinfection	reinfection	NOUN
ejpam-6001	64	12	(	(	PUNCT
ejpam-6001	64	13	perhaps	perhaps	ADV
ejpam-6001	64	14	brought	bring	VERB
ejpam-6001	64	15	on	on	ADP
ejpam-6001	64	16	by	by	ADP
ejpam-6001	64	17	declining	decline	VERB
ejpam-6001	64	18	immunity	immunity	NOUN
ejpam-6001	64	19	)	)	PUNCT
ejpam-6001	64	20	and	and	CCONJ
ejpam-6001	64	21	numerous	numerous	ADJ
ejpam-6001	64	22	virus	virus	NOUN
ejpam-6001	64	23	strains	strain	VERB
ejpam-6001	64	24	[	[	X
ejpam-6001	64	25	29	29	NUM
ejpam-6001	64	26	]	]	PUNCT
ejpam-6001	64	27	.	.	PUNCT
ejpam-6001	65	1	the	the	DET
ejpam-6001	65	2	significance	significance	NOUN
ejpam-6001	65	3	of	of	ADP
ejpam-6001	65	4	integrating	integrate	VERB
ejpam-6001	65	5	mutations	mutation	NOUN
ejpam-6001	65	6	and	and	CCONJ
ejpam-6001	65	7	evolutionary	evolutionary	ADJ
ejpam-6001	65	8	adaptations	adaptation	NOUN
ejpam-6001	65	9	into	into	ADP
ejpam-6001	65	10	epidemic	epidemic	NOUN
ejpam-6001	65	11	models	model	NOUN
ejpam-6001	65	12	was	be	AUX
ejpam-6001	65	13	highlighted	highlight	VERB
ejpam-6001	65	14	by	by	ADP
ejpam-6001	65	15	yagan	yagan	PROPN
ejpam-6001	65	16	et	et	PROPN
ejpam-6001	65	17	al	al	PROPN
ejpam-6001	65	18	.	.	PUNCT
ejpam-6001	66	1	[	[	X
ejpam-6001	66	2	30	30	NUM
ejpam-6001	66	3	]	]	PUNCT
ejpam-6001	66	4	due	due	ADP
ejpam-6001	66	5	to	to	ADP
ejpam-6001	66	6	the	the	DET
ejpam-6001	66	7	belief	belief	NOUN
ejpam-6001	66	8	that	that	SCONJ
ejpam-6001	66	9	certain	certain	ADJ
ejpam-6001	66	10	covid-19	covid-19	PROPN
ejpam-6001	66	11	strains	strain	NOUN
ejpam-6001	66	12	are	be	AUX
ejpam-6001	66	13	more	more	ADV
ejpam-6001	66	14	transmissible	transmissible	ADJ
ejpam-6001	66	15	than	than	ADP
ejpam-6001	66	16	the	the	DET
ejpam-6001	66	17	original	original	ADJ
ejpam-6001	66	18	strain	strain	NOUN
ejpam-6001	66	19	.	.	PUNCT
ejpam-6001	67	1	vaccination	vaccination	NOUN
ejpam-6001	67	2	was	be	AUX
ejpam-6001	67	3	not	not	PART
ejpam-6001	67	4	included	include	VERB
ejpam-6001	67	5	in	in	ADP
ejpam-6001	67	6	other	other	ADJ
ejpam-6001	67	7	research	research	NOUN
ejpam-6001	67	8	using	use	VERB
ejpam-6001	67	9	the	the	DET
ejpam-6001	67	10	multi	multi	ADJ
ejpam-6001	67	11	-	-	ADJ
ejpam-6001	67	12	strain	strain	ADJ
ejpam-6001	67	13	epidemic	epidemic	NOUN
ejpam-6001	67	14	model	model	NOUN
ejpam-6001	67	15	for	for	ADP
ejpam-6001	67	16	covid-19	covid-19	PROPN
ejpam-6001	67	17	[	[	X
ejpam-6001	67	18	31–33	31–33	NUM
ejpam-6001	67	19	]	]	PUNCT
ejpam-6001	67	20	.	.	PUNCT
ejpam-6001	68	1	for	for	ADP
ejpam-6001	68	2	numerical	numerical	PROPN
ejpam-6001	68	3	simulation	simulation	PROPN
ejpam-6001	68	4	,	,	PUNCT
ejpam-6001	68	5	the	the	DET
ejpam-6001	68	6	nsfd	nsfd	ADJ
ejpam-6001	68	7	scheme	scheme	NOUN
ejpam-6001	68	8	has	have	AUX
ejpam-6001	68	9	been	be	AUX
ejpam-6001	68	10	employed	employ	VERB
ejpam-6001	68	11	.	.	PUNCT
ejpam-6001	69	1	this	this	DET
ejpam-6001	69	2	approach	approach	NOUN
ejpam-6001	69	3	is	be	AUX
ejpam-6001	69	4	a	a	DET
ejpam-6001	69	5	practical	practical	ADJ
ejpam-6001	69	6	and	and	CCONJ
ejpam-6001	69	7	effective	effective	ADJ
ejpam-6001	69	8	way	way	NOUN
ejpam-6001	69	9	to	to	PART
ejpam-6001	69	10	solve	solve	VERB
ejpam-6001	69	11	many	many	ADJ
ejpam-6001	69	12	nonlinear	nonlinear	ADJ
ejpam-6001	69	13	problems	problem	NOUN
ejpam-6001	69	14	numerically	numerically	ADV
ejpam-6001	69	15	.	.	PUNCT
ejpam-6001	70	1	for	for	ADP
ejpam-6001	70	2	example	example	NOUN
ejpam-6001	70	3	,	,	PUNCT
ejpam-6001	70	4	this	this	DET
ejpam-6001	70	5	technique	technique	NOUN
ejpam-6001	70	6	has	have	AUX
ejpam-6001	70	7	been	be	AUX
ejpam-6001	70	8	applied	apply	VERB
ejpam-6001	70	9	by	by	ADP
ejpam-6001	70	10	numerous	numerous	ADJ
ejpam-6001	70	11	researchers	researcher	NOUN
ejpam-6001	70	12	to	to	ADP
ejpam-6001	70	13	the	the	DET
ejpam-6001	70	14	numerical	numerical	PROPN
ejpam-6001	70	15	simulation	simulation	NOUN
ejpam-6001	70	16	of	of	ADP
ejpam-6001	70	17	numerous	numerous	ADJ
ejpam-6001	70	18	bathetical	bathetical	ADJ
ejpam-6001	70	19	models	model	NOUN
ejpam-6001	70	20	[	[	X
ejpam-6001	70	21	34	34	NUM
ejpam-6001	70	22	,	,	PUNCT
ejpam-6001	70	23	35	35	NUM
ejpam-6001	70	24	]	]	PUNCT
ejpam-6001	70	25	.	.	PUNCT
ejpam-6001	71	1	on	on	ADP
ejpam-6001	71	2	the	the	DET
ejpam-6001	71	3	other	other	ADJ
ejpam-6001	71	4	hand	hand	NOUN
ejpam-6001	71	5	[	[	X
ejpam-6001	71	6	36	36	NUM
ejpam-6001	71	7	]	]	PUNCT
ejpam-6001	71	8	used	use	VERB
ejpam-6001	71	9	fractional	fractional	PROPN
ejpam-6001	71	10	numerical	numerical	PROPN
ejpam-6001	71	11	simulation	simulation	PROPN
ejpam-6001	71	12	to	to	PART
ejpam-6001	71	13	discussed	discuss	VERB
ejpam-6001	71	14	covid-19	covid-19	PROPN
ejpam-6001	71	15	dynamics	dynamic	NOUN
ejpam-6001	71	16	.	.	PUNCT
ejpam-6001	72	1	among	among	ADP
ejpam-6001	72	2	the	the	DET
ejpam-6001	72	3	approaches	approach	NOUN
ejpam-6001	72	4	discussed	discuss	VERB
ejpam-6001	72	5	,	,	PUNCT
ejpam-6001	72	6	the	the	DET
ejpam-6001	72	7	nsfd	nsfd	ADJ
ejpam-6001	72	8	method	method	NOUN
ejpam-6001	72	9	is	be	AUX
ejpam-6001	72	10	one	one	NUM
ejpam-6001	72	11	of	of	ADP
ejpam-6001	72	12	the	the	DET
ejpam-6001	72	13	most	most	ADV
ejpam-6001	72	14	effective	effective	ADJ
ejpam-6001	72	15	at	at	ADP
ejpam-6001	72	16	estimating	estimate	VERB
ejpam-6001	72	17	solutions	solution	NOUN
ejpam-6001	72	18	to	to	ADP
ejpam-6001	72	19	the	the	DET
ejpam-6001	72	20	fractional	fractional	ADJ
ejpam-6001	72	21	-	-	PUNCT
ejpam-6001	72	22	order	order	NOUN
ejpam-6001	72	23	models	model	NOUN
ejpam-6001	72	24	;	;	PUNCT
ejpam-6001	72	25	see	see	VERB
ejpam-6001	72	26	[	[	X
ejpam-6001	72	27	37	37	NUM
ejpam-6001	72	28	,	,	PUNCT
ejpam-6001	72	29	38	38	NUM
ejpam-6001	72	30	]	]	PUNCT
ejpam-6001	72	31	for	for	ADP
ejpam-6001	72	32	more	more	ADJ
ejpam-6001	72	33	information	information	NOUN
ejpam-6001	72	34	.	.	PUNCT
ejpam-6001	73	1	the	the	DET
ejpam-6001	73	2	idea	idea	NOUN
ejpam-6001	73	3	about	about	ADP
ejpam-6001	73	4	two	two	NUM
ejpam-6001	73	5	strains	strain	NOUN
ejpam-6001	73	6	also	also	ADV
ejpam-6001	73	7	originate	originate	VERB
ejpam-6001	73	8	from	from	ADP
ejpam-6001	73	9	the	the	DET
ejpam-6001	73	10	article	article	NOUN
ejpam-6001	73	11	[	[	X
ejpam-6001	73	12	39	39	NUM
ejpam-6001	73	13	]	]	PUNCT
ejpam-6001	73	14	,	,	PUNCT
ejpam-6001	73	15	where	where	SCONJ
ejpam-6001	73	16	the	the	DET
ejpam-6001	73	17	authors	author	NOUN
ejpam-6001	73	18	develop	develop	VERB
ejpam-6001	73	19	a	a	DET
ejpam-6001	73	20	biologically	biologically	ADV
ejpam-6001	73	21	realistic	realistic	ADJ
ejpam-6001	73	22	deterministic	deterministic	ADJ
ejpam-6001	73	23	models	model	NOUN
ejpam-6001	73	24	of	of	ADP
ejpam-6001	73	25	the	the	DET
ejpam-6001	73	26	transmission	transmission	NOUN
ejpam-6001	73	27	dynamics	dynamic	NOUN
ejpam-6001	73	28	for	for	ADP
ejpam-6001	73	29	multistrain	multistrain	NOUN
ejpam-6001	73	30	pathogens	pathogen	NOUN
ejpam-6001	73	31	like	like	ADP
ejpam-6001	73	32	influenza	influenza	NOUN
ejpam-6001	73	33	.	.	PUNCT
ejpam-6001	74	1	based	base	VERB
ejpam-6001	74	2	on	on	ADP
ejpam-6001	74	3	the	the	DET
ejpam-6001	74	4	genetic	genetic	ADJ
ejpam-6001	74	5	distance	distance	NOUN
ejpam-6001	74	6	between	between	ADP
ejpam-6001	74	7	strains	strain	NOUN
ejpam-6001	74	8	,	,	PUNCT
ejpam-6001	74	9	the	the	DET
ejpam-6001	74	10	authors	author	NOUN
ejpam-6001	74	11	modeled	model	VERB
ejpam-6001	74	12	cross	cross	NOUN
ejpam-6001	74	13	immunity	immunity	NOUN
ejpam-6001	74	14	and	and	CCONJ
ejpam-6001	74	15	showed	show	VERB
ejpam-6001	74	16	this	this	DET
ejpam-6001	74	17	affects	affect	VERB
ejpam-6001	74	18	the	the	DET
ejpam-6001	74	19	disease	disease	NOUN
ejpam-6001	74	20	dynamics	dynamic	NOUN
ejpam-6001	74	21	.	.	PUNCT
ejpam-6001	75	1	a	a	DET
ejpam-6001	75	2	temporary	temporary	ADJ
ejpam-6001	75	3	broad	broad	ADJ
ejpam-6001	75	4	(	(	PUNCT
ejpam-6001	75	5	strain	strain	NOUN
ejpam-6001	75	6	transcending	transcending	NOUN
ejpam-6001	75	7	)	)	PUNCT
ejpam-6001	75	8	immunity	immunity	NOUN
ejpam-6001	75	9	which	which	PRON
ejpam-6001	75	10	reduces	reduce	VERB
ejpam-6001	75	11	infection	infection	NOUN
ejpam-6001	75	12	prevalence	prevalence	NOUN
ejpam-6001	75	13	and	and	CCONJ
ejpam-6001	75	14	strain	strain	NOUN
ejpam-6001	75	15	diversity	diversity	NOUN
ejpam-6001	75	16	were	be	AUX
ejpam-6001	75	17	added	add	VERB
ejpam-6001	75	18	to	to	PART
ejpam-6001	75	19	extend	extend	VERB
ejpam-6001	75	20	the	the	DET
ejpam-6001	75	21	model	model	NOUN
ejpam-6001	75	22	.	.	PUNCT
ejpam-6001	76	1	the	the	DET
ejpam-6001	76	2	authors	author	NOUN
ejpam-6001	76	3	concluded	conclude	VERB
ejpam-6001	76	4	that	that	SCONJ
ejpam-6001	76	5	stochastic	stochastic	ADJ
ejpam-6001	76	6	effects	effect	NOUN
ejpam-6001	76	7	are	be	AUX
ejpam-6001	76	8	important	important	ADJ
ejpam-6001	76	9	to	to	PART
ejpam-6001	76	10	fully	fully	ADV
ejpam-6001	76	11	capture	capture	VERB
ejpam-6001	76	12	the	the	DET
ejpam-6001	76	13	influenza	influenza	NOUN
ejpam-6001	76	14	evolution	evolution	NOUN
ejpam-6001	76	15	.	.	PUNCT
ejpam-6001	77	1	another	another	DET
ejpam-6001	77	2	article	article	NOUN
ejpam-6001	77	3	cited	cite	VERB
ejpam-6001	77	4	as	as	ADP
ejpam-6001	77	5	[	[	X
ejpam-6001	77	6	40	40	NUM
ejpam-6001	77	7	]	]	PUNCT
ejpam-6001	77	8	also	also	ADV
ejpam-6001	77	9	plays	play	VERB
ejpam-6001	77	10	a	a	DET
ejpam-6001	77	11	very	very	ADV
ejpam-6001	77	12	m.	m.	NOUN
ejpam-6001	77	13	riaz	riaz	PROPN
ejpam-6001	77	14	et	et	PROPN
ejpam-6001	77	15	al	al	PROPN
ejpam-6001	77	16	.	.	PUNCT
ejpam-6001	77	17	/	/	SYM
ejpam-6001	77	18	eur	eur	PROPN
ejpam-6001	77	19	.	.	PUNCT
ejpam-6001	78	1	j.	j.	PROPN
ejpam-6001	78	2	pure	pure	PROPN
ejpam-6001	78	3	appl	appl	PROPN
ejpam-6001	78	4	.	.	PROPN
ejpam-6001	78	5	math	math	PROPN
ejpam-6001	78	6	,	,	PUNCT
ejpam-6001	78	7	18	18	NUM
ejpam-6001	78	8	(	(	PUNCT
ejpam-6001	78	9	2	2	NUM
ejpam-6001	78	10	)	)	PUNCT
ejpam-6001	78	11	(	(	PUNCT
ejpam-6001	78	12	2025	2025	NUM
ejpam-6001	78	13	)	)	PUNCT
ejpam-6001	78	14	,	,	PUNCT
ejpam-6001	78	15	6001	6001	NUM
ejpam-6001	78	16	4	4	NUM
ejpam-6001	78	17	of	of	ADP
ejpam-6001	78	18	27	27	NUM
ejpam-6001	78	19	important	important	ADJ
ejpam-6001	78	20	role	role	NOUN
ejpam-6001	78	21	in	in	ADP
ejpam-6001	78	22	our	our	PRON
ejpam-6001	78	23	model	model	NOUN
ejpam-6001	78	24	.	.	PUNCT
ejpam-6001	79	1	where	where	SCONJ
ejpam-6001	79	2	the	the	DET
ejpam-6001	79	3	authors	author	NOUN
ejpam-6001	79	4	formulated	formulate	VERB
ejpam-6001	79	5	multi	multi	ADJ
ejpam-6001	79	6	-	-	ADJ
ejpam-6001	79	7	strain	strain	ADJ
ejpam-6001	79	8	model	model	NOUN
ejpam-6001	79	9	that	that	PRON
ejpam-6001	79	10	links	link	VERB
ejpam-6001	79	11	immunological	immunological	ADJ
ejpam-6001	79	12	and	and	CCONJ
ejpam-6001	79	13	epidemiological	epidemiological	ADJ
ejpam-6001	79	14	dynamics	dynamic	NOUN
ejpam-6001	79	15	across	across	ADP
ejpam-6001	79	16	scales	scale	NOUN
ejpam-6001	79	17	.	.	PUNCT
ejpam-6001	80	1	using	use	VERB
ejpam-6001	80	2	a	a	DET
ejpam-6001	80	3	viral	viral	ADJ
ejpam-6001	80	4	load	load	NOUN
ejpam-6001	80	5	dependent	dependent	ADJ
ejpam-6001	80	6	parameter	parameter	NOUN
ejpam-6001	80	7	,	,	PUNCT
ejpam-6001	80	8	they	they	PRON
ejpam-6001	80	9	showed	show	VERB
ejpam-6001	80	10	that	that	SCONJ
ejpam-6001	80	11	the	the	DET
ejpam-6001	80	12	strain	strain	NOUN
ejpam-6001	80	13	with	with	ADP
ejpam-6001	80	14	the	the	DET
ejpam-6001	80	15	highest	high	ADJ
ejpam-6001	80	16	reproduction	reproduction	NOUN
ejpam-6001	80	17	number	number	NOUN
ejpam-6001	80	18	dominates	dominate	VERB
ejpam-6001	80	19	the	the	DET
ejpam-6001	80	20	scales	scale	NOUN
ejpam-6001	80	21	and	and	CCONJ
ejpam-6001	80	22	lyapunov	lyapunov	NOUN
ejpam-6001	80	23	function	function	NOUN
ejpam-6001	80	24	were	be	AUX
ejpam-6001	80	25	used	use	VERB
ejpam-6001	80	26	to	to	PART
ejpam-6001	80	27	prove	prove	VERB
ejpam-6001	80	28	the	the	DET
ejpam-6001	80	29	global	global	ADJ
ejpam-6001	80	30	stability	stability	NOUN
ejpam-6001	80	31	.	.	PUNCT
ejpam-6001	81	1	the	the	DET
ejpam-6001	81	2	article	article	NOUN
ejpam-6001	81	3	[	[	X
ejpam-6001	81	4	41	41	NUM
ejpam-6001	81	5	]	]	PUNCT
ejpam-6001	81	6	provide	provide	VERB
ejpam-6001	81	7	useful	useful	ADJ
ejpam-6001	81	8	information	information	NOUN
ejpam-6001	81	9	for	for	ADP
ejpam-6001	81	10	optimizing	optimize	VERB
ejpam-6001	81	11	testing	testing	NOUN
ejpam-6001	81	12	strategies	strategy	NOUN
ejpam-6001	81	13	.	.	PUNCT
ejpam-6001	82	1	about	about	ADP
ejpam-6001	82	2	the	the	DET
ejpam-6001	82	3	key	key	ADJ
ejpam-6001	82	4	hosts	host	NOUN
ejpam-6001	82	5	in	in	ADP
ejpam-6001	82	6	the	the	DET
ejpam-6001	82	7	evolution	evolution	NOUN
ejpam-6001	82	8	,	,	PUNCT
ejpam-6001	82	9	resentment	resentment	NOUN
ejpam-6001	82	10	of	of	ADP
ejpam-6001	82	11	swine	swine	ADJ
ejpam-6001	82	12	influenza	influenza	NOUN
ejpam-6001	82	13	virus	virus	NOUN
ejpam-6001	82	14	,	,	PUNCT
ejpam-6001	82	15	and	and	CCONJ
ejpam-6001	82	16	more	more	ADV
ejpam-6001	82	17	about	about	ADP
ejpam-6001	82	18	multi	multi	ADJ
ejpam-6001	82	19	-	-	ADJ
ejpam-6001	82	20	strain	strain	ADJ
ejpam-6001	82	21	pandemics	pandemic	NOUN
ejpam-6001	82	22	,	,	PUNCT
ejpam-6001	82	23	see	see	VERB
ejpam-6001	82	24	[	[	X
ejpam-6001	82	25	42–44	42–44	NUM
ejpam-6001	82	26	]	]	X
ejpam-6001	82	27	.	.	PUNCT
ejpam-6001	83	1	about	about	ADP
ejpam-6001	83	2	extension	extension	NOUN
ejpam-6001	83	3	of	of	ADP
ejpam-6001	83	4	model	model	NOUN
ejpam-6001	83	5	to	to	PART
ejpam-6001	83	6	account	account	VERB
ejpam-6001	83	7	for	for	ADP
ejpam-6001	83	8	multiple	multiple	ADJ
ejpam-6001	83	9	pathogen	pathogen	NOUN
ejpam-6001	83	10	mutations	mutation	NOUN
ejpam-6001	83	11	and	and	CCONJ
ejpam-6001	83	12	intervention	intervention	NOUN
ejpam-6001	83	13	policies	policy	NOUN
ejpam-6001	83	14	,	,	PUNCT
ejpam-6001	83	15	see	see	VERB
ejpam-6001	83	16	[	[	X
ejpam-6001	83	17	45	45	NUM
ejpam-6001	83	18	]	]	PUNCT
ejpam-6001	83	19	.	.	PUNCT
ejpam-6001	84	1	in	in	ADP
ejpam-6001	84	2	this	this	DET
ejpam-6001	84	3	paper	paper	NOUN
ejpam-6001	84	4	,	,	PUNCT
ejpam-6001	84	5	we	we	PRON
ejpam-6001	84	6	constructed	construct	VERB
ejpam-6001	84	7	a	a	DET
ejpam-6001	84	8	mathematical	mathematical	ADJ
ejpam-6001	84	9	sei1i2hrd	sei1i2hrd	ADJ
ejpam-6001	84	10	model	model	NOUN
ejpam-6001	84	11	to	to	PART
ejpam-6001	84	12	discussed	discuss	VERB
ejpam-6001	84	13	the	the	DET
ejpam-6001	84	14	dynamics	dynamic	NOUN
ejpam-6001	84	15	of	of	ADP
ejpam-6001	84	16	covid-19	covid-19	PROPN
ejpam-6001	84	17	under	under	ADP
ejpam-6001	84	18	convex	convex	ADJ
ejpam-6001	84	19	incidence	incidence	NOUN
ejpam-6001	84	20	rate	rate	NOUN
ejpam-6001	84	21	.	.	PUNCT
ejpam-6001	85	1	we	we	PRON
ejpam-6001	85	2	formulated	formulate	VERB
ejpam-6001	85	3	the	the	DET
ejpam-6001	85	4	model	model	NOUN
ejpam-6001	85	5	in	in	ADP
ejpam-6001	85	6	seven	seven	NUM
ejpam-6001	85	7	equations	equation	NOUN
ejpam-6001	85	8	,	,	PUNCT
ejpam-6001	85	9	where	where	SCONJ
ejpam-6001	85	10	s	s	VERB
ejpam-6001	85	11	represent	represent	VERB
ejpam-6001	85	12	susceptible	susceptible	ADJ
ejpam-6001	85	13	,	,	PUNCT
ejpam-6001	85	14	e	e	NOUN
ejpam-6001	85	15	exposed	expose	VERB
ejpam-6001	85	16	,	,	PUNCT
ejpam-6001	85	17	i1	i1	PROPN
ejpam-6001	85	18	strain	strain	VERB
ejpam-6001	85	19	one	one	NUM
ejpam-6001	85	20	infected	infect	VERB
ejpam-6001	85	21	,	,	PUNCT
ejpam-6001	85	22	i2	i2	PROPN
ejpam-6001	85	23	strain	strain	VERB
ejpam-6001	85	24	two	two	NUM
ejpam-6001	85	25	infected	infected	ADJ
ejpam-6001	85	26	,	,	PUNCT
ejpam-6001	85	27	h	h	PROPN
ejpam-6001	85	28	hospitalized	hospitalize	VERB
ejpam-6001	85	29	r	r	NOUN
ejpam-6001	85	30	recovered	recover	VERB
ejpam-6001	85	31	and	and	CCONJ
ejpam-6001	85	32	d	d	NOUN
ejpam-6001	85	33	death	death	NOUN
ejpam-6001	85	34	compartment	compartment	NOUN
ejpam-6001	85	35	individual	individual	NOUN
ejpam-6001	85	36	.	.	PUNCT
ejpam-6001	86	1	for	for	ADP
ejpam-6001	86	2	basic	basic	ADJ
ejpam-6001	86	3	reproduction	reproduction	NOUN
ejpam-6001	86	4	number	number	NOUN
ejpam-6001	86	5	r0	r0	NOUN
ejpam-6001	86	6	sensitivity	sensitivity	NOUN
ejpam-6001	86	7	analysis	analysis	NOUN
ejpam-6001	86	8	is	be	AUX
ejpam-6001	86	9	done	do	VERB
ejpam-6001	86	10	to	to	PART
ejpam-6001	86	11	find	find	VERB
ejpam-6001	86	12	out	out	ADP
ejpam-6001	86	13	the	the	DET
ejpam-6001	86	14	most	most	ADV
ejpam-6001	86	15	sensitive	sensitive	ADJ
ejpam-6001	86	16	variables	variable	NOUN
ejpam-6001	86	17	which	which	PRON
ejpam-6001	86	18	increase	increase	VERB
ejpam-6001	86	19	or	or	CCONJ
ejpam-6001	86	20	decrease	decrease	VERB
ejpam-6001	86	21	basic	basic	ADJ
ejpam-6001	86	22	reproduction	reproduction	NOUN
ejpam-6001	86	23	number	number	NOUN
ejpam-6001	86	24	r0	r0	NOUN
ejpam-6001	86	25	.	.	PUNCT
ejpam-6001	87	1	this	this	DET
ejpam-6001	87	2	paper	paper	NOUN
ejpam-6001	87	3	aims	aim	VERB
ejpam-6001	87	4	to	to	PART
ejpam-6001	87	5	model	model	VERB
ejpam-6001	87	6	the	the	DET
ejpam-6001	87	7	evolution	evolution	NOUN
ejpam-6001	87	8	of	of	ADP
ejpam-6001	87	9	covid-19	covid-19	PROPN
ejpam-6001	87	10	pandemic	pandemic	NOUN
ejpam-6001	87	11	for	for	ADP
ejpam-6001	87	12	two	two	NUM
ejpam-6001	87	13	strains	strain	NOUN
ejpam-6001	87	14	and	and	CCONJ
ejpam-6001	87	15	complex	complex	ADJ
ejpam-6001	87	16	transmission	transmission	NOUN
ejpam-6001	87	17	patterns	pattern	NOUN
ejpam-6001	87	18	using	use	VERB
ejpam-6001	87	19	both	both	PRON
ejpam-6001	87	20	integer	integer	NOUN
ejpam-6001	87	21	-	-	PUNCT
ejpam-6001	87	22	order	order	NOUN
ejpam-6001	87	23	and	and	CCONJ
ejpam-6001	87	24	fractional	fractional	ADJ
ejpam-6001	87	25	-	-	PUNCT
ejpam-6001	87	26	order	order	NOUN
ejpam-6001	87	27	derivatives	derivative	NOUN
ejpam-6001	87	28	using	use	VERB
ejpam-6001	87	29	especially	especially	ADV
ejpam-6001	87	30	the	the	DET
ejpam-6001	87	31	convex	convex	ADJ
ejpam-6001	87	32	incidence	incidence	NOUN
ejpam-6001	87	33	rate	rate	NOUN
ejpam-6001	87	34	.	.	PUNCT
ejpam-6001	88	1	the	the	DET
ejpam-6001	88	2	model	model	NOUN
ejpam-6001	88	3	capture	capture	NOUN
ejpam-6001	88	4	memory	memory	NOUN
ejpam-6001	88	5	and	and	CCONJ
ejpam-6001	88	6	hereditary	hereditary	ADJ
ejpam-6001	88	7	effects	effect	NOUN
ejpam-6001	88	8	in	in	ADP
ejpam-6001	88	9	the	the	DET
ejpam-6001	88	10	disease	disease	NOUN
ejpam-6001	88	11	transmission	transmission	NOUN
ejpam-6001	88	12	which	which	PRON
ejpam-6001	88	13	provide	provide	VERB
ejpam-6001	88	14	more	more	ADV
ejpam-6001	88	15	realistic	realistic	ADJ
ejpam-6001	88	16	representation	representation	NOUN
ejpam-6001	88	17	of	of	ADP
ejpam-6001	88	18	how	how	SCONJ
ejpam-6001	88	19	infection	infection	NOUN
ejpam-6001	88	20	and	and	CCONJ
ejpam-6001	88	21	immunity	immunity	NOUN
ejpam-6001	88	22	evolve	evolve	VERB
ejpam-6001	88	23	over	over	ADP
ejpam-6001	88	24	time	time	NOUN
ejpam-6001	88	25	compared	compare	VERB
ejpam-6001	88	26	to	to	ADP
ejpam-6001	88	27	integer	integer	NOUN
ejpam-6001	88	28	-	-	PUNCT
ejpam-6001	88	29	order	order	NOUN
ejpam-6001	88	30	model	model	NOUN
ejpam-6001	88	31	.	.	PUNCT
ejpam-6001	89	1	using	use	VERB
ejpam-6001	89	2	two	two	NUM
ejpam-6001	89	3	strains	strain	NOUN
ejpam-6001	89	4	allow	allow	VERB
ejpam-6001	89	5	the	the	DET
ejpam-6001	89	6	model	model	NOUN
ejpam-6001	89	7	to	to	PART
ejpam-6001	89	8	simulate	simulate	VERB
ejpam-6001	89	9	variant	variant	ADJ
ejpam-6001	89	10	competition	competition	NOUN
ejpam-6001	89	11	which	which	PRON
ejpam-6001	89	12	is	be	AUX
ejpam-6001	89	13	very	very	ADV
ejpam-6001	89	14	important	important	ADJ
ejpam-6001	89	15	for	for	ADP
ejpam-6001	89	16	understanding	understand	VERB
ejpam-6001	89	17	the	the	DET
ejpam-6001	89	18	appearance	appearance	NOUN
ejpam-6001	89	19	of	of	ADP
ejpam-6001	89	20	new	new	ADJ
ejpam-6001	89	21	variants	variant	NOUN
ejpam-6001	89	22	covid-19	covid-19	PROPN
ejpam-6001	89	23	virus	virus	NOUN
ejpam-6001	89	24	.	.	PUNCT
ejpam-6001	90	1	using	use	VERB
ejpam-6001	90	2	the	the	DET
ejpam-6001	90	3	convex	convex	ADJ
ejpam-6001	90	4	incidence	incidence	NOUN
ejpam-6001	90	5	rate	rate	NOUN
ejpam-6001	90	6	provide	provide	VERB
ejpam-6001	90	7	better	well	ADJ
ejpam-6001	90	8	saturation	saturation	NOUN
ejpam-6001	90	9	effects	effect	NOUN
ejpam-6001	90	10	as	as	ADP
ejpam-6001	90	11	compere	compere	NOUN
ejpam-6001	90	12	to	to	ADP
ejpam-6001	90	13	simple	simple	ADJ
ejpam-6001	90	14	linear	linear	ADJ
ejpam-6001	90	15	incidence	incidence	NOUN
ejpam-6001	90	16	rate	rate	NOUN
ejpam-6001	90	17	.	.	PUNCT
ejpam-6001	91	1	it	it	PRON
ejpam-6001	91	2	is	be	AUX
ejpam-6001	91	3	also	also	ADV
ejpam-6001	91	4	evident	evident	ADJ
ejpam-6001	91	5	that	that	SCONJ
ejpam-6001	91	6	using	use	VERB
ejpam-6001	91	7	convex	convex	NOUN
ejpam-6001	91	8	incidence	incidence	NOUN
ejpam-6001	91	9	rate	rate	NOUN
ejpam-6001	91	10	provide	provide	VERB
ejpam-6001	91	11	more	more	ADV
ejpam-6001	91	12	realistic	realistic	ADJ
ejpam-6001	91	13	responses	response	NOUN
ejpam-6001	91	14	in	in	ADP
ejpam-6001	91	15	case	case	NOUN
ejpam-6001	91	16	when	when	SCONJ
ejpam-6001	91	17	infection	infection	NOUN
ejpam-6001	91	18	level	level	NOUN
ejpam-6001	91	19	rises	rise	VERB
ejpam-6001	91	20	.	.	PUNCT
ejpam-6001	92	1	furthermore	furthermore	ADV
ejpam-6001	92	2	,	,	PUNCT
ejpam-6001	92	3	integer	integer	NOUN
ejpam-6001	92	4	and	and	CCONJ
ejpam-6001	92	5	fractional	fractional	ADJ
ejpam-6001	92	6	-	-	PUNCT
ejpam-6001	92	7	order	order	NOUN
ejpam-6001	92	8	model	model	NOUN
ejpam-6001	92	9	provide	provide	VERB
ejpam-6001	92	10	flexibility	flexibility	NOUN
ejpam-6001	92	11	in	in	ADP
ejpam-6001	92	12	theoretical	theoretical	ADJ
ejpam-6001	92	13	frame	frame	NOUN
ejpam-6001	92	14	work	work	NOUN
ejpam-6001	92	15	,	,	PUNCT
ejpam-6001	92	16	that	that	ADV
ejpam-6001	92	17	is	is	ADV
ejpam-6001	92	18	,	,	PUNCT
ejpam-6001	92	19	integer	integer	NOUN
ejpam-6001	92	20	-	-	PUNCT
ejpam-6001	92	21	order	order	NOUN
ejpam-6001	92	22	part	part	NOUN
ejpam-6001	92	23	where	where	SCONJ
ejpam-6001	92	24	memory	memory	NOUN
ejpam-6001	92	25	is	be	AUX
ejpam-6001	92	26	negligible	negligible	ADJ
ejpam-6001	92	27	but	but	CCONJ
ejpam-6001	92	28	fractional	fractional	ADJ
ejpam-6001	92	29	-	-	PUNCT
ejpam-6001	92	30	order	order	NOUN
ejpam-6001	92	31	part	part	NOUN
ejpam-6001	92	32	is	be	AUX
ejpam-6001	92	33	used	use	VERB
ejpam-6001	92	34	in	in	ADP
ejpam-6001	92	35	case	case	NOUN
ejpam-6001	92	36	where	where	SCONJ
ejpam-6001	92	37	long	long	ADJ
ejpam-6001	92	38	term	term	NOUN
ejpam-6001	92	39	memory	memory	NOUN
ejpam-6001	92	40	is	be	AUX
ejpam-6001	92	41	important	important	ADJ
ejpam-6001	92	42	.	.	PUNCT
ejpam-6001	93	1	no	no	PRON
ejpam-6001	93	2	doubt	doubt	ADV
ejpam-6001	93	3	the	the	DET
ejpam-6001	93	4	fractionalorder	fractionalorder	PROPN
ejpam-6001	93	5	mathematical	mathematical	ADJ
ejpam-6001	93	6	model	model	NOUN
ejpam-6001	93	7	is	be	AUX
ejpam-6001	93	8	more	more	ADV
ejpam-6001	93	9	realistic	realistic	ADJ
ejpam-6001	93	10	but	but	CCONJ
ejpam-6001	93	11	incorporating	incorporate	VERB
ejpam-6001	93	12	fractional	fractional	ADJ
ejpam-6001	93	13	calculus	calculus	NOUN
ejpam-6001	93	14	we	we	PRON
ejpam-6001	93	15	may	may	AUX
ejpam-6001	93	16	be	be	AUX
ejpam-6001	93	17	facing	face	VERB
ejpam-6001	93	18	with	with	ADP
ejpam-6001	93	19	complex	complex	ADJ
ejpam-6001	93	20	mathematics	mathematic	NOUN
ejpam-6001	93	21	and	and	CCONJ
ejpam-6001	93	22	computation	computation	NOUN
ejpam-6001	93	23	.	.	PUNCT
ejpam-6001	94	1	moreover	moreover	ADV
ejpam-6001	94	2	,	,	PUNCT
ejpam-6001	94	3	simulating	simulate	VERB
ejpam-6001	94	4	fractionalorder	fractionalorder	ADJ
ejpam-6001	94	5	models	model	NOUN
ejpam-6001	94	6	especially	especially	ADV
ejpam-6001	94	7	using	use	VERB
ejpam-6001	94	8	convex	convex	NOUN
ejpam-6001	94	9	incidence	incidence	NOUN
ejpam-6001	94	10	rate	rate	NOUN
ejpam-6001	94	11	is	be	AUX
ejpam-6001	94	12	computationally	computationally	ADV
ejpam-6001	94	13	expensive	expensive	ADJ
ejpam-6001	94	14	and	and	CCONJ
ejpam-6001	94	15	time	time	NOUN
ejpam-6001	94	16	consuming	consume	VERB
ejpam-6001	94	17	.	.	PUNCT
ejpam-6001	95	1	this	this	DET
ejpam-6001	95	2	study	study	NOUN
ejpam-6001	95	3	provides	provide	VERB
ejpam-6001	95	4	a	a	DET
ejpam-6001	95	5	frame	frame	NOUN
ejpam-6001	95	6	work	work	NOUN
ejpam-6001	95	7	for	for	SCONJ
ejpam-6001	95	8	the	the	DET
ejpam-6001	95	9	policy	policy	NOUN
ejpam-6001	95	10	makers	maker	NOUN
ejpam-6001	95	11	to	to	PART
ejpam-6001	95	12	understand	understand	VERB
ejpam-6001	95	13	the	the	DET
ejpam-6001	95	14	dynamics	dynamic	NOUN
ejpam-6001	95	15	of	of	ADP
ejpam-6001	95	16	the	the	DET
ejpam-6001	95	17	disease	disease	NOUN
ejpam-6001	95	18	transmission	transmission	NOUN
ejpam-6001	95	19	,	,	PUNCT
ejpam-6001	95	20	propagation	propagation	NOUN
ejpam-6001	95	21	and	and	CCONJ
ejpam-6001	95	22	recovery	recovery	NOUN
ejpam-6001	95	23	under	under	ADP
ejpam-6001	95	24	various	various	ADJ
ejpam-6001	95	25	intervention	intervention	NOUN
ejpam-6001	95	26	scenarios	scenario	NOUN
ejpam-6001	95	27	.	.	PUNCT
ejpam-6001	96	1	by	by	ADP
ejpam-6001	96	2	incorporating	incorporate	VERB
ejpam-6001	96	3	and	and	CCONJ
ejpam-6001	96	4	understanding	understand	VERB
ejpam-6001	96	5	the	the	DET
ejpam-6001	96	6	behavior	behavior	NOUN
ejpam-6001	96	7	of	of	ADP
ejpam-6001	96	8	each	each	DET
ejpam-6001	96	9	parameter	parameter	NOUN
ejpam-6001	96	10	,	,	PUNCT
ejpam-6001	96	11	the	the	DET
ejpam-6001	96	12	model	model	NOUN
ejpam-6001	96	13	can	can	AUX
ejpam-6001	96	14	better	well	ADV
ejpam-6001	96	15	simulate	simulate	VERB
ejpam-6001	96	16	the	the	DET
ejpam-6001	96	17	potential	potential	ADJ
ejpam-6001	96	18	impact	impact	NOUN
ejpam-6001	96	19	of	of	ADP
ejpam-6001	96	20	public	public	ADJ
ejpam-6001	96	21	health	health	NOUN
ejpam-6001	96	22	strategies	strategy	NOUN
ejpam-6001	96	23	.	.	PUNCT
ejpam-6001	97	1	this	this	DET
ejpam-6001	97	2	results	result	NOUN
ejpam-6001	97	3	identifies	identify	VERB
ejpam-6001	97	4	the	the	DET
ejpam-6001	97	5	critical	critical	ADJ
ejpam-6001	97	6	parameters	parameter	NOUN
ejpam-6001	97	7	that	that	PRON
ejpam-6001	97	8	are	be	AUX
ejpam-6001	97	9	responsible	responsible	ADJ
ejpam-6001	97	10	for	for	ADP
ejpam-6001	97	11	the	the	DET
ejpam-6001	97	12	spread	spread	NOUN
ejpam-6001	97	13	and	and	CCONJ
ejpam-6001	97	14	control	control	NOUN
ejpam-6001	97	15	of	of	ADP
ejpam-6001	97	16	the	the	DET
ejpam-6001	97	17	disease	disease	NOUN
ejpam-6001	97	18	and	and	CCONJ
ejpam-6001	97	19	also	also	ADV
ejpam-6001	97	20	evaluates	evaluate	VERB
ejpam-6001	97	21	the	the	DET
ejpam-6001	97	22	effectiveness	effectiveness	NOUN
ejpam-6001	97	23	of	of	ADP
ejpam-6001	97	24	the	the	DET
ejpam-6001	97	25	intervention	intervention	NOUN
ejpam-6001	97	26	strategies	strategy	NOUN
ejpam-6001	97	27	by	by	ADP
ejpam-6001	97	28	looking	look	VERB
ejpam-6001	97	29	at	at	ADP
ejpam-6001	97	30	the	the	DET
ejpam-6001	97	31	values	value	NOUN
ejpam-6001	97	32	of	of	ADP
ejpam-6001	97	33	the	the	DET
ejpam-6001	97	34	recovery	recovery	NOUN
ejpam-6001	97	35	rates	rate	NOUN
ejpam-6001	97	36	γ1	γ1	NOUN
ejpam-6001	97	37	and	and	CCONJ
ejpam-6001	97	38	γ2	γ2	PROPN
ejpam-6001	97	39	.	.	PUNCT
ejpam-6001	98	1	this	this	DET
ejpam-6001	98	2	study	study	NOUN
ejpam-6001	98	3	offers	offer	VERB
ejpam-6001	98	4	a	a	DET
ejpam-6001	98	5	decision	decision	NOUN
ejpam-6001	98	6	support	support	NOUN
ejpam-6001	98	7	tool	tool	NOUN
ejpam-6001	98	8	and	and	CCONJ
ejpam-6001	98	9	helps	help	VERB
ejpam-6001	98	10	the	the	DET
ejpam-6001	98	11	authorities	authority	NOUN
ejpam-6001	98	12	to	to	PART
ejpam-6001	98	13	prepare	prepare	VERB
ejpam-6001	98	14	for	for	ADP
ejpam-6001	98	15	the	the	DET
ejpam-6001	98	16	reinfection	reinfection	NOUN
ejpam-6001	98	17	due	due	ADP
ejpam-6001	98	18	to	to	ADP
ejpam-6001	98	19	loss	loss	NOUN
ejpam-6001	98	20	of	of	ADP
ejpam-6001	98	21	immunity	immunity	NOUN
ejpam-6001	98	22	.	.	PUNCT
ejpam-6001	99	1	the	the	DET
ejpam-6001	99	2	results	result	NOUN
ejpam-6001	99	3	in	in	ADP
ejpam-6001	99	4	this	this	DET
ejpam-6001	99	5	paper	paper	NOUN
ejpam-6001	99	6	are	be	AUX
ejpam-6001	99	7	organized	organize	VERB
ejpam-6001	99	8	as	as	SCONJ
ejpam-6001	99	9	follows	follow	VERB
ejpam-6001	99	10	:	:	PUNCT
ejpam-6001	99	11	model	model	NOUN
ejpam-6001	99	12	formulation	formulation	NOUN
ejpam-6001	99	13	is	be	AUX
ejpam-6001	99	14	discussed	discuss	VERB
ejpam-6001	99	15	in	in	ADP
ejpam-6001	99	16	section	section	NOUN
ejpam-6001	99	17	2	2	NUM
ejpam-6001	99	18	.	.	PUNCT
ejpam-6001	99	19	mathematical	mathematical	ADJ
ejpam-6001	99	20	results	result	NOUN
ejpam-6001	99	21	,	,	PUNCT
ejpam-6001	99	22	local	local	ADJ
ejpam-6001	99	23	and	and	CCONJ
ejpam-6001	99	24	global	global	ADJ
ejpam-6001	99	25	stability	stability	NOUN
ejpam-6001	99	26	is	be	AUX
ejpam-6001	99	27	discussed	discuss	VERB
ejpam-6001	99	28	in	in	ADP
ejpam-6001	99	29	section	section	NOUN
ejpam-6001	99	30	3	3	NUM
ejpam-6001	99	31	.	.	PUNCT
ejpam-6001	99	32	numerical	numerical	PROPN
ejpam-6001	99	33	simulation	simulation	PROPN
ejpam-6001	99	34	through	through	ADP
ejpam-6001	99	35	nsfd	nsfd	ADJ
ejpam-6001	99	36	scheme	scheme	NOUN
ejpam-6001	99	37	and	and	CCONJ
ejpam-6001	99	38	fractional	fractional	ADJ
ejpam-6001	99	39	order	order	NOUN
ejpam-6001	99	40	is	be	AUX
ejpam-6001	99	41	in	in	ADP
ejpam-6001	99	42	section	section	NOUN
ejpam-6001	99	43	4	4	NUM
ejpam-6001	99	44	.	.	PUNCT
ejpam-6001	100	1	the	the	DET
ejpam-6001	100	2	last	last	ADJ
ejpam-6001	100	3	section	section	NOUN
ejpam-6001	100	4	is	be	AUX
ejpam-6001	100	5	summarization	summarization	NOUN
ejpam-6001	100	6	of	of	ADP
ejpam-6001	100	7	the	the	DET
ejpam-6001	100	8	results	result	NOUN
ejpam-6001	100	9	.	.	PUNCT
ejpam-6001	101	1	m.	m.	NOUN
ejpam-6001	101	2	riaz	riaz	PROPN
ejpam-6001	101	3	et	et	PROPN
ejpam-6001	101	4	al	al	PROPN
ejpam-6001	101	5	.	.	PUNCT
ejpam-6001	101	6	/	/	SYM
ejpam-6001	101	7	eur	eur	PROPN
ejpam-6001	101	8	.	.	PUNCT
ejpam-6001	102	1	j.	j.	PROPN
ejpam-6001	102	2	pure	pure	PROPN
ejpam-6001	102	3	appl	appl	PROPN
ejpam-6001	102	4	.	.	PROPN
ejpam-6001	102	5	math	math	PROPN
ejpam-6001	102	6	,	,	PUNCT
ejpam-6001	102	7	18	18	NUM
ejpam-6001	102	8	(	(	PUNCT
ejpam-6001	102	9	2	2	NUM
ejpam-6001	102	10	)	)	PUNCT
ejpam-6001	102	11	(	(	PUNCT
ejpam-6001	102	12	2025	2025	NUM
ejpam-6001	102	13	)	)	PUNCT
ejpam-6001	102	14	,	,	PUNCT
ejpam-6001	102	15	6001	6001	NUM
ejpam-6001	102	16	5	5	NUM
ejpam-6001	102	17	of	of	ADP
ejpam-6001	102	18	27	27	NUM
ejpam-6001	102	19	2	2	NUM
ejpam-6001	102	20	.	.	PUNCT
ejpam-6001	102	21	model	model	NOUN
ejpam-6001	102	22	formulation	formulation	NOUN
ejpam-6001	102	23	owing	owe	VERB
ejpam-6001	102	24	to	to	ADP
ejpam-6001	102	25	the	the	DET
ejpam-6001	102	26	novel	novel	NOUN
ejpam-6001	102	27	covid-19	covid-19	PROPN
ejpam-6001	102	28	variations	variation	NOUN
ejpam-6001	102	29	strain1	strain1	ADV
ejpam-6001	102	30	and	and	CCONJ
ejpam-6001	102	31	strain	strain	VERB
ejpam-6001	102	32	2	2	NUM
ejpam-6001	102	33	,	,	PUNCT
ejpam-6001	102	34	individuals	individual	NOUN
ejpam-6001	102	35	there	there	PRON
ejpam-6001	102	36	were	be	VERB
ejpam-6001	102	37	once	once	ADV
ejpam-6001	102	38	again	again	ADV
ejpam-6001	102	39	subject	subject	ADJ
ejpam-6001	102	40	to	to	ADP
ejpam-6001	102	41	a	a	DET
ejpam-6001	102	42	number	number	NOUN
ejpam-6001	102	43	of	of	ADP
ejpam-6001	102	44	limitation	limitation	NOUN
ejpam-6001	102	45	,	,	PUNCT
ejpam-6001	102	46	including	include	VERB
ejpam-6001	102	47	the	the	DET
ejpam-6001	102	48	need	need	NOUN
ejpam-6001	102	49	of	of	ADP
ejpam-6001	102	50	stick	stick	NOUN
ejpam-6001	102	51	to	to	PART
ejpam-6001	102	52	sops	sop	NOUN
ejpam-6001	102	53	religiously	religiously	ADV
ejpam-6001	102	54	,	,	PUNCT
ejpam-6001	102	55	keep	keep	VERB
ejpam-6001	102	56	social	social	ADJ
ejpam-6001	102	57	distance	distance	NOUN
ejpam-6001	102	58	,	,	PUNCT
ejpam-6001	102	59	wear	wear	VERB
ejpam-6001	102	60	facemasks	facemask	NOUN
ejpam-6001	102	61	,	,	PUNCT
ejpam-6001	102	62	etc	etc	X
ejpam-6001	102	63	.	.	X
ejpam-6001	103	1	a	a	DET
ejpam-6001	103	2	number	number	NOUN
ejpam-6001	103	3	of	of	ADP
ejpam-6001	103	4	nations	nation	NOUN
ejpam-6001	103	5	have	have	AUX
ejpam-6001	103	6	prohibited	prohibit	VERB
ejpam-6001	103	7	travel	travel	NOUN
ejpam-6001	103	8	to	to	ADP
ejpam-6001	103	9	other	other	ADJ
ejpam-6001	103	10	countries	country	NOUN
ejpam-6001	103	11	due	due	ADP
ejpam-6001	103	12	to	to	ADP
ejpam-6001	103	13	the	the	DET
ejpam-6001	103	14	novel	novel	NOUN
ejpam-6001	103	15	covid-19	covid-19	PROPN
ejpam-6001	103	16	strains	strain	NOUN
ejpam-6001	103	17	that	that	PRON
ejpam-6001	103	18	is	be	AUX
ejpam-6001	103	19	rapidly	rapidly	ADV
ejpam-6001	103	20	spreading	spread	VERB
ejpam-6001	103	21	.	.	PUNCT
ejpam-6001	104	1	we	we	PRON
ejpam-6001	104	2	develop	develop	VERB
ejpam-6001	104	3	a	a	DET
ejpam-6001	104	4	new	new	ADJ
ejpam-6001	104	5	mathematical	mathematical	ADJ
ejpam-6001	104	6	model	model	NOUN
ejpam-6001	104	7	to	to	PART
ejpam-6001	104	8	comprehend	comprehend	VERB
ejpam-6001	104	9	the	the	DET
ejpam-6001	104	10	dyanimics	dyanimic	NOUN
ejpam-6001	104	11	of	of	ADP
ejpam-6001	104	12	infection	infection	NOUN
ejpam-6001	104	13	using	use	VERB
ejpam-6001	104	14	strains	strain	NOUN
ejpam-6001	104	15	i1	i1	PROPN
ejpam-6001	104	16	and	and	CCONJ
ejpam-6001	104	17	i2	i2	PROPN
ejpam-6001	104	18	.	.	PUNCT
ejpam-6001	105	1	the	the	DET
ejpam-6001	105	2	whole	whole	ADJ
ejpam-6001	105	3	population	population	NOUN
ejpam-6001	105	4	is	be	AUX
ejpam-6001	105	5	taken	take	VERB
ejpam-6001	105	6	to	to	PART
ejpam-6001	105	7	be	be	AUX
ejpam-6001	105	8	m(t	m(t	NOUN
ejpam-6001	105	9	)	)	PUNCT
ejpam-6001	106	1	=	=	SYM
ejpam-6001	106	2	s	s	PART
ejpam-6001	107	1	+	+	NUM
ejpam-6001	107	2	e	e	X
ejpam-6001	107	3	+	+	CCONJ
ejpam-6001	107	4	i1	i1	PROPN
ejpam-6001	107	5	+	+	CCONJ
ejpam-6001	107	6	i2	i2	PROPN
ejpam-6001	107	7	+	+	CCONJ
ejpam-6001	107	8	h	h	NOUN
ejpam-6001	108	1	+	+	CCONJ
ejpam-6001	108	2	r	r	NOUN
ejpam-6001	109	1	+	+	NOUN
ejpam-6001	109	2	d	d	NOUN
ejpam-6001	109	3	where	where	SCONJ
ejpam-6001	109	4	i	i	PRON
ejpam-6001	109	5	=	=	PROPN
ejpam-6001	109	6	i1	i1	PROPN
ejpam-6001	109	7	+	+	CCONJ
ejpam-6001	109	8	i2	i2	PROPN
ejpam-6001	109	9	.	.	PUNCT
ejpam-6001	110	1	we	we	PRON
ejpam-6001	110	2	formulate	formulate	VERB
ejpam-6001	110	3	the	the	DET
ejpam-6001	110	4	model	model	NOUN
ejpam-6001	110	5	using	use	VERB
ejpam-6001	110	6	the	the	DET
ejpam-6001	110	7	following	follow	VERB
ejpam-6001	110	8	equations:	equations:	PROPN
ejpam-6001	110	9	ds	ds	NOUN
ejpam-6001	110	10	dt	dt	NOUN
ejpam-6001	110	11	=	=	SYM
ejpam-6001	110	12	b−ksi(βi	b−ksi(βi	NOUN
ejpam-6001	110	13	+	+	PROPN
ejpam-6001	111	1	1)−	1)−	NUM
ejpam-6001	111	2	d0s	d0	NOUN
ejpam-6001	111	3	+	+	CCONJ
ejpam-6001	111	4	rr	rr	X
ejpam-6001	111	5	,	,	PUNCT
ejpam-6001	111	6	de	de	X
ejpam-6001	111	7	dt	dt	X
ejpam-6001	111	8	=	=	SYM
ejpam-6001	111	9	ksi(βi	ksi(βi	NOUN
ejpam-6001	111	10	+	+	X
ejpam-6001	111	11	1)−	1)−	NUM
ejpam-6001	111	12	(	(	PUNCT
ejpam-6001	111	13	d0	d0	NOUN
ejpam-6001	111	14	+	+	CCONJ
ejpam-6001	111	15	η	η	PROPN
ejpam-6001	111	16	+	+	NOUN
ejpam-6001	111	17	ϕ)e	ϕ)e	NOUN
ejpam-6001	111	18	,	,	PUNCT
ejpam-6001	111	19	di1	di1	INTJ
ejpam-6001	111	20	dt	dt	NOUN
ejpam-6001	111	21	=	=	NOUN
ejpam-6001	111	22	ϕe	ϕe	INTJ
ejpam-6001	111	23	−	−	PROPN
ejpam-6001	111	24	(	(	PUNCT
ejpam-6001	111	25	γ1	γ1	NOUN
ejpam-6001	111	26	+	+	CCONJ
ejpam-6001	111	27	h1	h1	NOUN
ejpam-6001	111	28	+	+	CCONJ
ejpam-6001	111	29	d0	d0	NOUN
ejpam-6001	111	30	+	+	CCONJ
ejpam-6001	111	31	c1)i1	c1)i1	PROPN
ejpam-6001	111	32	,	,	PUNCT
ejpam-6001	111	33	di2	di2	PROPN
ejpam-6001	111	34	dt	dt	PROPN
ejpam-6001	112	1	=	=	PUNCT
ejpam-6001	112	2	ηe	ηe	ADP
ejpam-6001	112	3	−	−	PROPN
ejpam-6001	112	4	(	(	PUNCT
ejpam-6001	112	5	γ2	γ2	NOUN
ejpam-6001	112	6	+	+	CCONJ
ejpam-6001	112	7	h2	h2	NOUN
ejpam-6001	112	8	+	+	CCONJ
ejpam-6001	112	9	d0	d0	NOUN
ejpam-6001	112	10	+	+	CCONJ
ejpam-6001	112	11	c2)i2	c2)i2	PROPN
ejpam-6001	112	12	,	,	PUNCT
ejpam-6001	112	13	dh	dh	NOUN
ejpam-6001	112	14	dt	dt	NOUN
ejpam-6001	113	1	=	=	PUNCT
ejpam-6001	113	2	h1i1	h1i1	PROPN
ejpam-6001	114	1	+	+	CCONJ
ejpam-6001	114	2	h2i2	h2i2	PROPN
ejpam-6001	114	3	−	−	PROPN
ejpam-6001	114	4	h0h	h0h	PROPN
ejpam-6001	114	5	,	,	PUNCT
ejpam-6001	114	6	dr	dr	PROPN
ejpam-6001	114	7	dt	dt	PROPN
ejpam-6001	114	8	=	=	PUNCT
ejpam-6001	114	9	γ1i1	γ1i1	PROPN
ejpam-6001	115	1	+	+	CCONJ
ejpam-6001	115	2	γ2i2	γ2i2	PROPN
ejpam-6001	115	3	+	+	CCONJ
ejpam-6001	115	4	h0h	h0h	NOUN
ejpam-6001	115	5	−	−	PROPN
ejpam-6001	115	6	(	(	PUNCT
ejpam-6001	115	7	r	r	NOUN
ejpam-6001	115	8	+	+	CCONJ
ejpam-6001	115	9	d0)r	d0)r	NOUN
ejpam-6001	115	10	,	,	PUNCT
ejpam-6001	115	11	dd	dd	NOUN
ejpam-6001	115	12	dt	dt	NOUN
ejpam-6001	116	1	=	=	PUNCT
ejpam-6001	117	1	c1i1	c1i1	PROPN
ejpam-6001	118	1	+	+	CCONJ
ejpam-6001	119	1	c2i2	c2i2	NOUN
ejpam-6001	119	2	.	.	PUNCT
ejpam-6001	119	3	(	(	PUNCT
ejpam-6001	119	4	1	1	X
ejpam-6001	119	5	)	)	PUNCT
ejpam-6001	120	1	where	where	SCONJ
ejpam-6001	120	2	i	i	PRON
ejpam-6001	120	3	=	=	PROPN
ejpam-6001	120	4	i1	i1	PROPN
ejpam-6001	120	5	+	+	CCONJ
ejpam-6001	120	6	i2	i2	PROPN
ejpam-6001	120	7	.	.	PUNCT
ejpam-6001	121	1	a	a	DET
ejpam-6001	121	2	flowchart	flowchart	NOUN
ejpam-6001	121	3	known	know	VERB
ejpam-6001	121	4	as	as	ADP
ejpam-6001	121	5	the	the	DET
ejpam-6001	121	6	compartment	compartment	NOUN
ejpam-6001	121	7	diagram	diagram	NOUN
ejpam-6001	121	8	illustrates	illustrate	VERB
ejpam-6001	121	9	how	how	SCONJ
ejpam-6001	121	10	the	the	DET
ejpam-6001	121	11	population	population	NOUN
ejpam-6001	121	12	dynamics	dynamic	NOUN
ejpam-6001	121	13	of	of	ADP
ejpam-6001	121	14	various	various	ADJ
ejpam-6001	121	15	compartment	compartment	NOUN
ejpam-6001	121	16	have	have	AUX
ejpam-6001	121	17	changed	change	VERB
ejpam-6001	121	18	through	through	ADP
ejpam-6001	121	19	time	time	NOUN
ejpam-6001	121	20	.	.	PUNCT
ejpam-6001	122	1	figure	figure	VERB
ejpam-6001	122	2	1	1	NUM
ejpam-6001	122	3	:	:	PUNCT
ejpam-6001	122	4	flow	flow	VERB
ejpam-6001	122	5	chart	chart	NOUN
ejpam-6001	122	6	of	of	ADP
ejpam-6001	122	7	parameters	parameter	NOUN
ejpam-6001	122	8	of	of	ADP
ejpam-6001	122	9	the	the	DET
ejpam-6001	122	10	model	model	NOUN
ejpam-6001	122	11	(	(	PUNCT
ejpam-6001	122	12	1	1	NUM
ejpam-6001	122	13	)	)	PUNCT
ejpam-6001	122	14	.	.	PUNCT
ejpam-6001	123	1	in	in	ADP
ejpam-6001	123	2	the	the	DET
ejpam-6001	123	3	above	above	ADJ
ejpam-6001	123	4	flow	flow	NOUN
ejpam-6001	123	5	chart	chart	NOUN
ejpam-6001	123	6	,	,	PUNCT
ejpam-6001	123	7	the	the	DET
ejpam-6001	123	8	compartment	compartment	NOUN
ejpam-6001	123	9	s	s	PRON
ejpam-6001	123	10	represent	represent	VERB
ejpam-6001	123	11	a	a	DET
ejpam-6001	123	12	group	group	NOUN
ejpam-6001	123	13	of	of	ADP
ejpam-6001	123	14	individuals	individual	NOUN
ejpam-6001	123	15	that	that	PRON
ejpam-6001	123	16	are	be	AUX
ejpam-6001	123	17	not	not	PART
ejpam-6001	123	18	infected	infect	VERB
ejpam-6001	123	19	with	with	ADP
ejpam-6001	123	20	a	a	DET
ejpam-6001	123	21	disease	disease	NOUN
ejpam-6001	123	22	but	but	CCONJ
ejpam-6001	123	23	are	be	AUX
ejpam-6001	123	24	at	at	ADP
ejpam-6001	123	25	risk	risk	NOUN
ejpam-6001	123	26	to	to	PART
ejpam-6001	123	27	be	be	AUX
ejpam-6001	123	28	infected	infect	VERB
ejpam-6001	123	29	.	.	PUNCT
ejpam-6001	124	1	the	the	DET
ejpam-6001	124	2	individuals	individual	NOUN
ejpam-6001	124	3	that	that	PRON
ejpam-6001	124	4	are	be	AUX
ejpam-6001	124	5	infected	infect	VERB
ejpam-6001	124	6	but	but	CCONJ
ejpam-6001	124	7	not	not	PART
ejpam-6001	124	8	yet	yet	ADV
ejpam-6001	124	9	infectious	infectious	ADJ
ejpam-6001	124	10	moved	move	VERB
ejpam-6001	124	11	from	from	ADP
ejpam-6001	124	12	susceptible	susceptible	ADJ
ejpam-6001	124	13	to	to	ADP
ejpam-6001	124	14	exposed	expose	VERB
ejpam-6001	124	15	by	by	ADP
ejpam-6001	124	16	a	a	DET
ejpam-6001	124	17	force	force	NOUN
ejpam-6001	124	18	of	of	ADP
ejpam-6001	124	19	infection	infection	NOUN
ejpam-6001	124	20	m.	m.	NOUN
ejpam-6001	124	21	riaz	riaz	PROPN
ejpam-6001	124	22	et	et	PROPN
ejpam-6001	125	1	al	al	PROPN
ejpam-6001	125	2	.	.	PUNCT
ejpam-6001	125	3	/	/	SYM
ejpam-6001	125	4	eur	eur	PROPN
ejpam-6001	125	5	.	.	PUNCT
ejpam-6001	126	1	j.	j.	PROPN
ejpam-6001	126	2	pure	pure	PROPN
ejpam-6001	126	3	appl	appl	PROPN
ejpam-6001	126	4	.	.	PROPN
ejpam-6001	126	5	math	math	PROPN
ejpam-6001	126	6	,	,	PUNCT
ejpam-6001	126	7	18	18	NUM
ejpam-6001	126	8	(	(	PUNCT
ejpam-6001	126	9	2	2	NUM
ejpam-6001	126	10	)	)	PUNCT
ejpam-6001	126	11	(	(	PUNCT
ejpam-6001	126	12	2025	2025	NUM
ejpam-6001	126	13	)	)	PUNCT
ejpam-6001	126	14	,	,	PUNCT
ejpam-6001	126	15	6001	6001	NUM
ejpam-6001	126	16	6	6	NUM
ejpam-6001	126	17	of	of	ADP
ejpam-6001	126	18	27	27	NUM
ejpam-6001	126	19	ksi(βi+1	ksi(βi+1	NOUN
ejpam-6001	126	20	)	)	PUNCT
ejpam-6001	126	21	and	and	CCONJ
ejpam-6001	126	22	are	be	AUX
ejpam-6001	126	23	represented	represent	VERB
ejpam-6001	126	24	by	by	ADP
ejpam-6001	126	25	e.	e.	PROPN
ejpam-6001	126	26	i1	i1	PROPN
ejpam-6001	126	27	and	and	CCONJ
ejpam-6001	126	28	i2	i2	PROPN
ejpam-6001	126	29	represents	represent	VERB
ejpam-6001	126	30	two	two	NUM
ejpam-6001	126	31	strains	strain	NOUN
ejpam-6001	126	32	of	of	ADP
ejpam-6001	126	33	infection	infection	NOUN
ejpam-6001	126	34	.	.	PUNCT
ejpam-6001	127	1	group	group	NOUN
ejpam-6001	127	2	of	of	ADP
ejpam-6001	127	3	individuals	individual	NOUN
ejpam-6001	127	4	that	that	PRON
ejpam-6001	127	5	are	be	AUX
ejpam-6001	127	6	died	die	VERB
ejpam-6001	127	7	due	due	ADJ
ejpam-6001	127	8	to	to	ADP
ejpam-6001	127	9	infection	infection	NOUN
ejpam-6001	127	10	are	be	AUX
ejpam-6001	127	11	represented	represent	VERB
ejpam-6001	127	12	by	by	ADP
ejpam-6001	127	13	d.	d.	PROPN
ejpam-6001	127	14	moreover	moreover	ADV
ejpam-6001	127	15	,	,	PUNCT
ejpam-6001	127	16	h	h	NOUN
ejpam-6001	127	17	represents	represent	VERB
ejpam-6001	127	18	the	the	DET
ejpam-6001	127	19	individual	individual	NOUN
ejpam-6001	127	20	that	that	PRON
ejpam-6001	127	21	are	be	AUX
ejpam-6001	127	22	admitted	admit	VERB
ejpam-6001	127	23	to	to	ADP
ejpam-6001	127	24	a	a	DET
ejpam-6001	127	25	hospital	hospital	NOUN
ejpam-6001	127	26	who	who	PRON
ejpam-6001	127	27	have	have	AUX
ejpam-6001	127	28	developed	develop	VERB
ejpam-6001	127	29	severe	severe	ADJ
ejpam-6001	127	30	symptoms	symptom	NOUN
ejpam-6001	127	31	from	from	ADP
ejpam-6001	127	32	infection	infection	NOUN
ejpam-6001	127	33	.	.	PUNCT
ejpam-6001	128	1	the	the	DET
ejpam-6001	128	2	individuals	individual	NOUN
ejpam-6001	128	3	that	that	PRON
ejpam-6001	128	4	gaining	gain	VERB
ejpam-6001	128	5	immunity	immunity	NOUN
ejpam-6001	128	6	both	both	CCONJ
ejpam-6001	128	7	temporary	temporary	ADJ
ejpam-6001	128	8	or	or	CCONJ
ejpam-6001	128	9	permanent	permanent	ADJ
ejpam-6001	128	10	and	and	CCONJ
ejpam-6001	128	11	so	so	ADV
ejpam-6001	128	12	recovered	recover	VERB
ejpam-6001	128	13	from	from	ADP
ejpam-6001	128	14	the	the	DET
ejpam-6001	128	15	disease	disease	NOUN
ejpam-6001	128	16	is	be	AUX
ejpam-6001	128	17	represented	represent	VERB
ejpam-6001	128	18	by	by	ADP
ejpam-6001	128	19	r.	r.	PROPN
ejpam-6001	128	20	the	the	DET
ejpam-6001	128	21	birth	birth	NOUN
ejpam-6001	128	22	rate	rate	NOUN
ejpam-6001	128	23	b	b	PROPN
ejpam-6001	128	24	sustains	sustain	VERB
ejpam-6001	128	25	the	the	DET
ejpam-6001	128	26	susceptible	susceptible	ADJ
ejpam-6001	128	27	population	population	NOUN
ejpam-6001	128	28	and	and	CCONJ
ejpam-6001	128	29	so	so	ADV
ejpam-6001	128	30	prolonging	prolong	VERB
ejpam-6001	128	31	the	the	DET
ejpam-6001	128	32	epidemic	epidemic	NOUN
ejpam-6001	128	33	.	.	PUNCT
ejpam-6001	129	1	the	the	DET
ejpam-6001	129	2	natural	natural	ADJ
ejpam-6001	129	3	death	death	NOUN
ejpam-6001	129	4	rate	rate	NOUN
ejpam-6001	129	5	d0	d0	NOUN
ejpam-6001	129	6	reduce	reduce	VERB
ejpam-6001	129	7	the	the	DET
ejpam-6001	129	8	population	population	NOUN
ejpam-6001	129	9	size	size	NOUN
ejpam-6001	129	10	and	and	CCONJ
ejpam-6001	129	11	indirectly	indirectly	ADV
ejpam-6001	129	12	reduces	reduce	VERB
ejpam-6001	129	13	the	the	DET
ejpam-6001	129	14	transmission	transmission	NOUN
ejpam-6001	129	15	by	by	ADP
ejpam-6001	129	16	shrinking	shrink	VERB
ejpam-6001	129	17	the	the	DET
ejpam-6001	129	18	population	population	NOUN
ejpam-6001	129	19	at	at	ADP
ejpam-6001	129	20	risk	risk	NOUN
ejpam-6001	129	21	and	and	CCONJ
ejpam-6001	129	22	the	the	DET
ejpam-6001	129	23	group	group	NOUN
ejpam-6001	129	24	of	of	ADP
ejpam-6001	129	25	individuals	individual	NOUN
ejpam-6001	129	26	that	that	SCONJ
ejpam-6001	129	27	contributing	contribute	VERB
ejpam-6001	129	28	in	in	ADP
ejpam-6001	129	29	spreading	spread	VERB
ejpam-6001	129	30	the	the	DET
ejpam-6001	129	31	infection	infection	NOUN
ejpam-6001	129	32	.	.	PUNCT
ejpam-6001	130	1	the	the	DET
ejpam-6001	130	2	convex	convex	ADJ
ejpam-6001	130	3	incidence	incidence	NOUN
ejpam-6001	130	4	rate	rate	NOUN
ejpam-6001	130	5	ksi(βi	ksi(βi	NOUN
ejpam-6001	130	6	+	+	CCONJ
ejpam-6001	130	7	1	1	X
ejpam-6001	130	8	)	)	PUNCT
ejpam-6001	130	9	shows	show	VERB
ejpam-6001	130	10	that	that	SCONJ
ejpam-6001	130	11	the	the	DET
ejpam-6001	130	12	infection	infection	NOUN
ejpam-6001	130	13	force	force	NOUN
ejpam-6001	130	14	depends	depend	VERB
ejpam-6001	130	15	on	on	ADP
ejpam-6001	130	16	the	the	DET
ejpam-6001	130	17	contact	contact	NOUN
ejpam-6001	130	18	rate	rate	NOUN
ejpam-6001	130	19	β	β	X
ejpam-6001	130	20	and	and	CCONJ
ejpam-6001	130	21	infectious	infectious	ADJ
ejpam-6001	130	22	individuals	individual	NOUN
ejpam-6001	130	23	i.	i.	VERB
ejpam-6001	130	24	the	the	DET
ejpam-6001	130	25	progression	progression	NOUN
ejpam-6001	130	26	rate	rate	NOUN
ejpam-6001	130	27	ϕ	ϕ	PROPN
ejpam-6001	130	28	from	from	ADP
ejpam-6001	130	29	e	e	NOUN
ejpam-6001	130	30	to	to	ADP
ejpam-6001	130	31	i1	i1	PROPN
ejpam-6001	130	32	accelerate	accelerate	VERB
ejpam-6001	130	33	the	the	DET
ejpam-6001	130	34	emergence	emergence	NOUN
ejpam-6001	130	35	of	of	ADP
ejpam-6001	130	36	new	new	ADJ
ejpam-6001	130	37	infection	infection	NOUN
ejpam-6001	130	38	while	while	SCONJ
ejpam-6001	130	39	η	η	PROPN
ejpam-6001	130	40	the	the	DET
ejpam-6001	130	41	alternate	alternate	ADJ
ejpam-6001	130	42	infectious	infectious	ADJ
ejpam-6001	130	43	pathway	pathway	NOUN
ejpam-6001	130	44	basically	basically	ADV
ejpam-6001	130	45	making	make	VERB
ejpam-6001	130	46	changes	change	NOUN
ejpam-6001	130	47	in	in	ADP
ejpam-6001	130	48	the	the	DET
ejpam-6001	130	49	disease	disease	NOUN
ejpam-6001	130	50	distribution	distribution	NOUN
ejpam-6001	130	51	.	.	PUNCT
ejpam-6001	131	1	c1	c1	PROPN
ejpam-6001	131	2	nad	nad	PROPN
ejpam-6001	131	3	c2	c2	PROPN
ejpam-6001	131	4	reduces	reduce	VERB
ejpam-6001	131	5	the	the	DET
ejpam-6001	131	6	size	size	NOUN
ejpam-6001	131	7	of	of	ADP
ejpam-6001	131	8	the	the	DET
ejpam-6001	131	9	infected	infect	VERB
ejpam-6001	131	10	compartments	compartment	NOUN
ejpam-6001	131	11	i1	i1	PROPN
ejpam-6001	131	12	and	and	CCONJ
ejpam-6001	131	13	i2	i2	PROPN
ejpam-6001	131	14	.	.	PUNCT
ejpam-6001	132	1	h1	h1	PROPN
ejpam-6001	132	2	and	and	CCONJ
ejpam-6001	132	3	h2	h2	PROPN
ejpam-6001	132	4	represents	represent	VERB
ejpam-6001	132	5	the	the	DET
ejpam-6001	132	6	movement	movement	NOUN
ejpam-6001	132	7	of	of	ADP
ejpam-6001	132	8	the	the	DET
ejpam-6001	132	9	infected	infect	VERB
ejpam-6001	132	10	individuals	individual	NOUN
ejpam-6001	132	11	from	from	ADP
ejpam-6001	132	12	i1	i1	PROPN
ejpam-6001	132	13	and	and	CCONJ
ejpam-6001	132	14	i2	i2	PROPN
ejpam-6001	132	15	to	to	PART
ejpam-6001	132	16	hospitalize	hospitalize	VERB
ejpam-6001	132	17	compartment	compartment	NOUN
ejpam-6001	132	18	.	.	PUNCT
ejpam-6001	133	1	high	high	PROPN
ejpam-6001	133	2	hospitalize	hospitalize	PROPN
ejpam-6001	133	3	rates	rate	NOUN
ejpam-6001	133	4	may	may	AUX
ejpam-6001	133	5	indicates	indicate	VERB
ejpam-6001	133	6	severe	severe	ADJ
ejpam-6001	133	7	disease	disease	NOUN
ejpam-6001	133	8	burden	burden	NOUN
ejpam-6001	133	9	but	but	CCONJ
ejpam-6001	133	10	a	a	DET
ejpam-6001	133	11	good	good	ADJ
ejpam-6001	133	12	isolation	isolation	NOUN
ejpam-6001	133	13	.	.	PUNCT
ejpam-6001	134	1	the	the	DET
ejpam-6001	134	2	recovery	recovery	NOUN
ejpam-6001	134	3	perimeter	perimeter	PROPN
ejpam-6001	134	4	h0	h0	PROPN
ejpam-6001	134	5	represent	represent	VERB
ejpam-6001	134	6	the	the	DET
ejpam-6001	134	7	rate	rate	NOUN
ejpam-6001	134	8	of	of	ADP
ejpam-6001	134	9	recover	recover	NOUN
ejpam-6001	134	10	individuals	individual	NOUN
ejpam-6001	134	11	from	from	ADP
ejpam-6001	134	12	hospitalized	hospitalize	VERB
ejpam-6001	134	13	compartment	compartment	NOUN
ejpam-6001	134	14	to	to	ADP
ejpam-6001	134	15	recovered	recover	VERB
ejpam-6001	134	16	compartment	compartment	NOUN
ejpam-6001	134	17	r	r	NOUN
ejpam-6001	134	18	which	which	PRON
ejpam-6001	134	19	reduce	reduce	VERB
ejpam-6001	134	20	the	the	DET
ejpam-6001	134	21	pressure	pressure	NOUN
ejpam-6001	134	22	on	on	ADP
ejpam-6001	134	23	healthcare	healthcare	NOUN
ejpam-6001	134	24	system	system	NOUN
ejpam-6001	134	25	and	and	CCONJ
ejpam-6001	134	26	policy	policy	NOUN
ejpam-6001	134	27	makers	maker	NOUN
ejpam-6001	134	28	.	.	PUNCT
ejpam-6001	135	1	the	the	DET
ejpam-6001	135	2	most	most	ADV
ejpam-6001	135	3	important	important	ADJ
ejpam-6001	135	4	parameters	parameter	NOUN
ejpam-6001	135	5	are	be	AUX
ejpam-6001	135	6	the	the	DET
ejpam-6001	135	7	recovery	recovery	NOUN
ejpam-6001	135	8	parameters	parameter	NOUN
ejpam-6001	135	9	γ1	γ1	PROPN
ejpam-6001	135	10	and	and	CCONJ
ejpam-6001	135	11	γ2	γ2	NOUN
ejpam-6001	135	12	which	which	PRON
ejpam-6001	135	13	reduces	reduce	VERB
ejpam-6001	135	14	the	the	DET
ejpam-6001	135	15	infectious	infectious	ADJ
ejpam-6001	135	16	population	population	NOUN
ejpam-6001	135	17	.	.	PUNCT
ejpam-6001	136	1	larger	large	ADJ
ejpam-6001	136	2	the	the	DET
ejpam-6001	136	3	value	value	NOUN
ejpam-6001	136	4	of	of	ADP
ejpam-6001	136	5	these	these	DET
ejpam-6001	136	6	parameters	parameter	NOUN
ejpam-6001	136	7	shift	shift	VERB
ejpam-6001	136	8	individuals	individual	NOUN
ejpam-6001	136	9	to	to	ADP
ejpam-6001	136	10	the	the	DET
ejpam-6001	136	11	recover	recover	NOUN
ejpam-6001	136	12	class	class	NOUN
ejpam-6001	136	13	which	which	PRON
ejpam-6001	136	14	lead	lead	VERB
ejpam-6001	136	15	to	to	ADP
ejpam-6001	136	16	controlling	control	VERB
ejpam-6001	136	17	and	and	CCONJ
ejpam-6001	136	18	limiting	limit	VERB
ejpam-6001	136	19	the	the	DET
ejpam-6001	136	20	outbreak	outbreak	NOUN
ejpam-6001	136	21	of	of	ADP
ejpam-6001	136	22	the	the	DET
ejpam-6001	136	23	disease	disease	NOUN
ejpam-6001	136	24	.	.	PUNCT
ejpam-6001	137	1	moreover	moreover	ADV
ejpam-6001	137	2	,	,	PUNCT
ejpam-6001	137	3	the	the	DET
ejpam-6001	137	4	value	value	NOUN
ejpam-6001	137	5	of	of	ADP
ejpam-6001	137	6	r	r	NOUN
ejpam-6001	137	7	is	be	AUX
ejpam-6001	137	8	most	most	ADV
ejpam-6001	137	9	important	important	ADJ
ejpam-6001	137	10	for	for	ADP
ejpam-6001	137	11	the	the	DET
ejpam-6001	137	12	reinfection	reinfection	NOUN
ejpam-6001	137	13	dynamics	dynamic	NOUN
ejpam-6001	137	14	.	.	PUNCT
ejpam-6001	138	1	greater	great	ADJ
ejpam-6001	138	2	value	value	NOUN
ejpam-6001	138	3	of	of	ADP
ejpam-6001	138	4	r	r	NOUN
ejpam-6001	138	5	leads	lead	VERB
ejpam-6001	138	6	to	to	ADP
ejpam-6001	138	7	the	the	DET
ejpam-6001	138	8	multiple	multiple	ADJ
ejpam-6001	138	9	waves	wave	NOUN
ejpam-6001	138	10	of	of	ADP
ejpam-6001	138	11	infection	infection	NOUN
ejpam-6001	138	12	.	.	PUNCT
ejpam-6001	139	1	3	3	X
ejpam-6001	139	2	.	.	X
ejpam-6001	139	3	fundamental	fundamental	ADJ
ejpam-6001	139	4	analysis	analysis	NOUN
ejpam-6001	139	5	of	of	ADP
ejpam-6001	139	6	model	model	NOUN
ejpam-6001	139	7	(	(	PUNCT
ejpam-6001	139	8	1	1	X
ejpam-6001	139	9	)	)	PUNCT
ejpam-6001	139	10	this	this	DET
ejpam-6001	139	11	section	section	NOUN
ejpam-6001	139	12	investigates	investigate	VERB
ejpam-6001	139	13	the	the	DET
ejpam-6001	139	14	properties	property	NOUN
ejpam-6001	139	15	of	of	ADP
ejpam-6001	139	16	the	the	DET
ejpam-6001	139	17	equilibrium	equilibrium	NOUN
ejpam-6001	139	18	point	point	NOUN
ejpam-6001	139	19	and	and	CCONJ
ejpam-6001	139	20	the	the	DET
ejpam-6001	139	21	local	local	ADJ
ejpam-6001	139	22	and	and	CCONJ
ejpam-6001	139	23	global	global	ADJ
ejpam-6001	139	24	stability	stability	NOUN
ejpam-6001	139	25	of	of	ADP
ejpam-6001	139	26	the	the	DET
ejpam-6001	139	27	system	system	NOUN
ejpam-6001	139	28	(	(	PUNCT
ejpam-6001	139	29	1	1	NUM
ejpam-6001	139	30	)	)	PUNCT
ejpam-6001	139	31	.	.	PUNCT
ejpam-6001	140	1	we	we	PRON
ejpam-6001	140	2	also	also	ADV
ejpam-6001	140	3	investigate	investigate	VERB
ejpam-6001	140	4	the	the	DET
ejpam-6001	140	5	general	general	ADJ
ejpam-6001	140	6	analysis	analysis	NOUN
ejpam-6001	140	7	of	of	ADP
ejpam-6001	140	8	the	the	DET
ejpam-6001	140	9	system	system	NOUN
ejpam-6001	140	10	and	and	CCONJ
ejpam-6001	140	11	the	the	DET
ejpam-6001	140	12	properties	property	NOUN
ejpam-6001	140	13	of	of	ADP
ejpam-6001	140	14	the	the	DET
ejpam-6001	140	15	equilibrium	equilibrium	NOUN
ejpam-6001	140	16	.	.	PUNCT
ejpam-6001	141	1	lemma	lemma	PROPN
ejpam-6001	141	2	1	1	NUM
ejpam-6001	141	3	.	.	PUNCT
ejpam-6001	142	1	the	the	DET
ejpam-6001	142	2	plane	plane	NOUN
ejpam-6001	142	3	s+e+	s+e+	PROPN
ejpam-6001	142	4	i1	i1	PROPN
ejpam-6001	142	5	+	+	CCONJ
ejpam-6001	142	6	i2+h	i2+h	PROPN
ejpam-6001	142	7	+	+	PROPN
ejpam-6001	142	8	r+d	r+d	X
ejpam-6001	142	9	=	=	SYM
ejpam-6001	142	10	b	b	X
ejpam-6001	142	11	d0	d0	NOUN
ejpam-6001	142	12	has	have	AUX
ejpam-6001	142	13	invariant	invariant	ADJ
ejpam-6001	142	14	manifold	manifold	ADJ
ejpam-6001	142	15	of	of	ADP
ejpam-6001	142	16	model	model	NOUN
ejpam-6001	142	17	(	(	PUNCT
ejpam-6001	142	18	1	1	NUM
ejpam-6001	142	19	)	)	PUNCT
ejpam-6001	142	20	,	,	PUNCT
ejpam-6001	142	21	which	which	PRON
ejpam-6001	142	22	is	be	AUX
ejpam-6001	142	23	in	in	ADP
ejpam-6001	142	24	first	first	PROPN
ejpam-6001	142	25	octant	octant	PROPN
ejpam-6001	142	26	.	.	PUNCT
ejpam-6001	143	1	proof	proof	NOUN
ejpam-6001	143	2	.	.	PUNCT
ejpam-6001	144	1	by	by	ADP
ejpam-6001	144	2	adding	add	VERB
ejpam-6001	144	3	all	all	DET
ejpam-6001	144	4	vectors	vector	NOUN
ejpam-6001	144	5	of	of	ADP
ejpam-6001	144	6	model	model	NOUN
ejpam-6001	144	7	(	(	PUNCT
ejpam-6001	144	8	1	1	NUM
ejpam-6001	144	9	)	)	PUNCT
ejpam-6001	144	10	and	and	CCONJ
ejpam-6001	144	11	assumem(t	assumem(t	PROPN
ejpam-6001	144	12	)	)	PUNCT
ejpam-6001	144	13	=	=	VERB
ejpam-6001	144	14	s+e+i1+i2+h+r+d	s+e+i1+i2+h+r+d	PROPN
ejpam-6001	144	15	,	,	PUNCT
ejpam-6001	144	16	we	we	PRON
ejpam-6001	144	17	have	have	VERB
ejpam-6001	144	18	dm	dm	NUM
ejpam-6001	144	19	dt	dt	NOUN
ejpam-6001	144	20	=	=	SYM
ejpam-6001	144	21	b−	b−	PROPN
ejpam-6001	144	22	d0s	d0	NOUN
ejpam-6001	144	23	−	−	PROPN
ejpam-6001	144	24	d0e	d0e	PROPN
ejpam-6001	144	25	−	−	NOUN
ejpam-6001	144	26	d0i1	d0i1	ADV
ejpam-6001	144	27	−	−	NOUN
ejpam-6001	145	1	d0i2	d0i2	NOUN
ejpam-6001	145	2	−	−	NOUN
ejpam-6001	146	1	d0h	d0h	PROPN
ejpam-6001	146	2	−	−	ADP
ejpam-6001	146	3	d0r	d0r	ADJ
ejpam-6001	146	4	=	=	PUNCT
ejpam-6001	146	5	b−	b−	PROPN
ejpam-6001	146	6	d0(s	d0(s	PROPN
ejpam-6001	147	1	+	+	CCONJ
ejpam-6001	147	2	e	e	PROPN
ejpam-6001	147	3	+	+	CCONJ
ejpam-6001	147	4	i1	i1	PROPN
ejpam-6001	147	5	+	+	CCONJ
ejpam-6001	147	6	i2	i2	PROPN
ejpam-6001	147	7	+	+	NOUN
ejpam-6001	147	8	h	h	NOUN
ejpam-6001	147	9	+	+	NOUN
ejpam-6001	147	10	r	r	NOUN
ejpam-6001	147	11	)	)	PUNCT
ejpam-6001	147	12	.	.	PUNCT
ejpam-6001	148	1	implies	imply	VERB
ejpam-6001	148	2	that	that	SCONJ
ejpam-6001	148	3	dm	dm	INTJ
ejpam-6001	148	4	dt	dt	NOUN
ejpam-6001	148	5	=	=	SYM
ejpam-6001	148	6	b−	b−	PROPN
ejpam-6001	148	7	d0	d0	NOUN
ejpam-6001	148	8	m	m	PROPN
ejpam-6001	148	9	(	(	PUNCT
ejpam-6001	148	10	2	2	NUM
ejpam-6001	148	11	)	)	PUNCT
ejpam-6001	148	12	m.	m.	NOUN
ejpam-6001	148	13	riaz	riaz	PROPN
ejpam-6001	148	14	et	et	PROPN
ejpam-6001	148	15	al	al	PROPN
ejpam-6001	148	16	.	.	PUNCT
ejpam-6001	148	17	/	/	SYM
ejpam-6001	148	18	eur	eur	PROPN
ejpam-6001	148	19	.	.	PUNCT
ejpam-6001	149	1	j.	j.	PROPN
ejpam-6001	149	2	pure	pure	PROPN
ejpam-6001	149	3	appl	appl	PROPN
ejpam-6001	149	4	.	.	PROPN
ejpam-6001	149	5	math	math	PROPN
ejpam-6001	149	6	,	,	PUNCT
ejpam-6001	149	7	18	18	NUM
ejpam-6001	149	8	(	(	PUNCT
ejpam-6001	149	9	2	2	NUM
ejpam-6001	149	10	)	)	PUNCT
ejpam-6001	149	11	(	(	PUNCT
ejpam-6001	149	12	2025	2025	NUM
ejpam-6001	149	13	)	)	PUNCT
ejpam-6001	149	14	,	,	PUNCT
ejpam-6001	149	15	6001	6001	NUM
ejpam-6001	149	16	7	7	NUM
ejpam-6001	149	17	of	of	ADP
ejpam-6001	149	18	27	27	NUM
ejpam-6001	149	19	from	from	ADP
ejpam-6001	149	20	(	(	PUNCT
ejpam-6001	149	21	2	2	NUM
ejpam-6001	149	22	)	)	PUNCT
ejpam-6001	149	23	,	,	PUNCT
ejpam-6001	149	24	we	we	PRON
ejpam-6001	149	25	get	get	VERB
ejpam-6001	149	26	the	the	DET
ejpam-6001	149	27	solution	solution	NOUN
ejpam-6001	149	28	is	be	AUX
ejpam-6001	149	29	m(t	m(t	NOUN
ejpam-6001	149	30	)	)	PUNCT
ejpam-6001	149	31	=	=	SYM
ejpam-6001	149	32	b	b	NUM
ejpam-6001	149	33	d0	d0	NOUN
ejpam-6001	149	34	.	.	PUNCT
ejpam-6001	150	1	for	for	ADP
ejpam-6001	150	2	any	any	DET
ejpam-6001	150	3	m(t0	m(t0	NOUN
ejpam-6001	150	4	)	)	PUNCT
ejpam-6001	150	5	≥	≥	NOUN
ejpam-6001	150	6	0	0	NUM
ejpam-6001	150	7	,	,	PUNCT
ejpam-6001	150	8	the	the	DET
ejpam-6001	150	9	general	general	ADJ
ejpam-6001	150	10	solution	solution	NOUN
ejpam-6001	150	11	of	of	ADP
ejpam-6001	150	12	(	(	PUNCT
ejpam-6001	150	13	2	2	NUM
ejpam-6001	150	14	)	)	PUNCT
ejpam-6001	150	15	is	be	AUX
ejpam-6001	150	16	m(t	m(t	NOUN
ejpam-6001	150	17	)	)	PUNCT
ejpam-6001	151	1	=	=	SYM
ejpam-6001	151	2	1	1	NUM
ejpam-6001	151	3	d0	d0	NOUN
ejpam-6001	151	4	[	[	X
ejpam-6001	151	5	b−	b−	NOUN
ejpam-6001	151	6	(	(	PUNCT
ejpam-6001	151	7	b−	b−	PROPN
ejpam-6001	151	8	d0m(t0))e	d0m(t0))e	ADJ
ejpam-6001	151	9	−d0(t−t0	−d0(t−t0	NOUN
ejpam-6001	151	10	)	)	PUNCT
ejpam-6001	151	11	]	]	PUNCT
ejpam-6001	151	12	.	.	PUNCT
ejpam-6001	152	1	thus	thus	ADV
ejpam-6001	152	2	lim	lim	PROPN
ejpam-6001	152	3	t→∞	t→∞	PRON
ejpam-6001	152	4	m(t	m(t	PROPN
ejpam-6001	152	5	)	)	PUNCT
ejpam-6001	152	6	=	=	SYM
ejpam-6001	152	7	b	b	NUM
ejpam-6001	152	8	d0	d0	NOUN
ejpam-6001	152	9	which	which	PRON
ejpam-6001	152	10	follow	follow	VERB
ejpam-6001	152	11	conclusion	conclusion	NOUN
ejpam-6001	152	12	.	.	PUNCT
ejpam-6001	153	1	form	form	NOUN
ejpam-6001	153	2	above	above	ADP
ejpam-6001	153	3	lemma	lemma	PROPN
ejpam-6001	153	4	,	,	PUNCT
ejpam-6001	153	5	we	we	PRON
ejpam-6001	153	6	can	can	AUX
ejpam-6001	153	7	see	see	VERB
ejpam-6001	153	8	that	that	DET
ejpam-6001	153	9	model	model	NOUN
ejpam-6001	153	10	(	(	PUNCT
ejpam-6001	153	11	1	1	X
ejpam-6001	153	12	)	)	PUNCT
ejpam-6001	153	13	is	be	AUX
ejpam-6001	153	14	well	well	ADV
ejpam-6001	153	15	-	-	PUNCT
ejpam-6001	153	16	posed	pose	VERB
ejpam-6001	153	17	mathematically	mathematically	ADV
ejpam-6001	153	18	and	and	CCONJ
ejpam-6001	153	19	the	the	DET
ejpam-6001	153	20	following	follow	VERB
ejpam-6001	153	21	is	be	AUX
ejpam-6001	153	22	feasible	feasible	ADJ
ejpam-6001	153	23	region	region	NOUN
ejpam-6001	153	24	for	for	ADP
ejpam-6001	153	25	dynamical	dynamical	ADJ
ejpam-6001	153	26	analysis	analysis	NOUN
ejpam-6001	153	27	.	.	PUNCT
ejpam-6001	154	1	φ	φ	PROPN
ejpam-6001	154	2	=	=	SYM
ejpam-6001	154	3	(	(	PUNCT
ejpam-6001	154	4	s	s	X
ejpam-6001	154	5	,	,	PUNCT
ejpam-6001	154	6	e	e	NOUN
ejpam-6001	154	7	,	,	PUNCT
ejpam-6001	154	8	i1	i1	PROPN
ejpam-6001	154	9	,	,	PUNCT
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ejpam-6001	154	35	s	s	PART
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ejpam-6001	155	1	3.1	3.1	NUM
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ejpam-6001	155	11	and	and	CCONJ
ejpam-6001	155	12	existence	existence	NOUN
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ejpam-6001	155	14	system	system	NOUN
ejpam-6001	155	15	(	(	PUNCT
ejpam-6001	155	16	1	1	NUM
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ejpam-6001	156	3	detailed	detailed	ADJ
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ejpam-6001	156	5	,	,	PUNCT
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ejpam-6001	156	7	[	[	X
ejpam-6001	156	8	46	46	NUM
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ejpam-6001	156	12	.	.	PUNCT
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ejpam-6001	157	4	,	,	PUNCT
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ejpam-6001	157	9	(	(	PUNCT
ejpam-6001	157	10	6	6	NUM
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ejpam-6001	157	17	ds	ds	ADJ
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ejpam-6001	158	24	dt	dt	X
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ejpam-6001	163	2	0	0	NUM
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ejpam-6001	163	4	t	t	X
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ejpam-6001	163	6	.	.	PUNCT
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ejpam-6001	164	77	,	,	PUNCT
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ejpam-6001	166	13	)	)	PUNCT
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ejpam-6001	166	15	6001	6001	NUM
ejpam-6001	166	16	8	8	NUM
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ejpam-6001	166	18	27	27	NUM
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ejpam-6001	167	2	,	,	PUNCT
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ejpam-6001	167	4	have	have	VERB
ejpam-6001	167	5	to	to	PART
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ejpam-6001	167	29	)	)	PUNCT
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ejpam-6001	169	3	+	+	PROPN
ejpam-6001	169	4	1)−	1)−	NUM
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ejpam-6001	169	11	1	1	NUM
ejpam-6001	169	12	)	)	PUNCT
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ejpam-6001	169	18	sup	sup	NOUN
ejpam-6001	169	19	m	m	NOUN
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ejpam-6001	169	27	1	1	NUM
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ejpam-6001	169	46	+	+	CCONJ
ejpam-6001	169	47	r||r||∞	r||r||∞	NOUN
ejpam-6001	169	48	,	,	PUNCT
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ejpam-6001	169	50	k1kk(βk	k1kk(βk	PROPN
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ejpam-6001	170	6	6	6	NUM
ejpam-6001	170	7	)	)	PUNCT
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ejpam-6001	170	10	=	=	VERB
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ejpam-6001	171	3	,	,	PUNCT
ejpam-6001	171	4	t	t	X
ejpam-6001	171	5	]	]	PUNCT
ejpam-6001	171	6	.	.	PUNCT
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ejpam-6001	172	2	with	with	ADP
ejpam-6001	172	3	the	the	DET
ejpam-6001	172	4	same	same	ADJ
ejpam-6001	172	5	procedure	procedure	NOUN
ejpam-6001	172	6	we	we	PRON
ejpam-6001	172	7	have	have	VERB
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ejpam-6001	174	2	+	+	PROPN
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ejpam-6001	174	24	∞.	∞.	PROPN
ejpam-6001	174	25	(	(	PUNCT
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ejpam-6001	174	28	|f3	|f3	NOUN
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ejpam-6001	176	13	ϕk2	ϕk2	NOUN
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ejpam-6001	177	5	h1	h1	NOUN
ejpam-6001	177	6	+	+	CCONJ
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ejpam-6001	177	9	c1)k3	c1)k3	NOUN
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ejpam-6001	177	11	∞.	∞.	PROPN
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ejpam-6001	178	24	c2)k4	c2)k4	PROPN
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ejpam-6001	178	28	9	9	NUM
ejpam-6001	178	29	)	)	PUNCT
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ejpam-6001	179	3	|h1i1	|h1i1	PROPN
ejpam-6001	179	4	+	+	CCONJ
ejpam-6001	179	5	h2i2	h2i2	PROPN
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ejpam-6001	179	7	h0h|	h0h|	PROPN
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ejpam-6001	179	9	≤	≤	NUM
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ejpam-6001	179	12	h2k4	h2k4	X
ejpam-6001	179	13	+	+	CCONJ
ejpam-6001	179	14	h0k5	h0k5	VERB
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ejpam-6001	181	10	γ1k3	γ1k3	X
ejpam-6001	181	11	+	+	CCONJ
ejpam-6001	181	12	γ2k4	γ2k4	X
ejpam-6001	181	13	+	+	CCONJ
ejpam-6001	181	14	h0k5	h0k5	X
ejpam-6001	181	15	+	+	X
ejpam-6001	181	16	(	(	PUNCT
ejpam-6001	181	17	r	r	NOUN
ejpam-6001	181	18	+	+	NUM
ejpam-6001	181	19	d0)k6	d0)k6	NOUN
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ejpam-6001	181	23	11	11	NUM
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ejpam-6001	182	3	|c1i1	|c1i1	PROPN
ejpam-6001	182	4	+	+	CCONJ
ejpam-6001	182	5	c2i2|	c2i2|	PROPN
ejpam-6001	182	6	,	,	PUNCT
ejpam-6001	182	7	≤	≤	NUM
ejpam-6001	182	8	c1k3	c1k3	VERB
ejpam-6001	182	9	+	+	CCONJ
ejpam-6001	182	10	c2k4	c2k4	X
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ejpam-6001	182	12	∞.	∞.	PROPN
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ejpam-6001	182	14	12	12	NUM
ejpam-6001	182	15	)	)	PUNCT
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ejpam-6001	183	4	supm	supm	PROPN
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ejpam-6001	183	6	(	(	PUNCT
ejpam-6001	183	7	t	t	PROPN
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ejpam-6001	183	9	s	s	X
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ejpam-6001	193	24	s1|	s1|	PROPN
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ejpam-6001	200	6	|	|	ADV
ejpam-6001	200	7	,	,	PUNCT
ejpam-6001	200	8	|f5	|f5	PROPN
ejpam-6001	200	9	(	(	PUNCT
ejpam-6001	200	10	t	t	PROPN
ejpam-6001	200	11	,	,	PUNCT
ejpam-6001	200	12	s	s	X
ejpam-6001	200	13	,	,	PUNCT
ejpam-6001	200	14	e	e	NOUN
ejpam-6001	200	15	,	,	PUNCT
ejpam-6001	200	16	i1	i1	PROPN
ejpam-6001	200	17	,	,	PUNCT
ejpam-6001	200	18	i2	i2	PROPN
ejpam-6001	200	19	,	,	PUNCT
ejpam-6001	200	20	h1	h1	PROPN
ejpam-6001	200	21	,	,	PUNCT
ejpam-6001	200	22	r	r	NOUN
ejpam-6001	200	23	,	,	PUNCT
ejpam-6001	200	24	d)−	d)−	PROPN
ejpam-6001	200	25	f5	f5	PROPN
ejpam-6001	200	26	(	(	PUNCT
ejpam-6001	200	27	t	t	PROPN
ejpam-6001	200	28	,	,	PUNCT
ejpam-6001	200	29	s	s	X
ejpam-6001	200	30	,	,	PUNCT
ejpam-6001	200	31	e	e	NOUN
ejpam-6001	200	32	,	,	PUNCT
ejpam-6001	200	33	i1	i1	PROPN
ejpam-6001	200	34	,	,	PUNCT
ejpam-6001	200	35	i2	i2	PROPN
ejpam-6001	200	36	,	,	PUNCT
ejpam-6001	200	37	h2	h2	PROPN
ejpam-6001	200	38	,	,	PUNCT
ejpam-6001	200	39	r	r	NOUN
ejpam-6001	200	40	,	,	PUNCT
ejpam-6001	200	41	d	d	NOUN
ejpam-6001	200	42	)	)	PUNCT
ejpam-6001	201	1	|	|	ADV
ejpam-6001	201	2	<	<	X
ejpam-6001	201	3	p5|h2	p5|h2	X
ejpam-6001	201	4	−h1|	−h1|	PROPN
ejpam-6001	201	5	,	,	PUNCT
ejpam-6001	201	6	|f6	|f6	NOUN
ejpam-6001	201	7	(	(	PUNCT
ejpam-6001	201	8	t	t	PROPN
ejpam-6001	201	9	,	,	PUNCT
ejpam-6001	201	10	s	s	X
ejpam-6001	201	11	,	,	PUNCT
ejpam-6001	201	12	e	e	NOUN
ejpam-6001	201	13	,	,	PUNCT
ejpam-6001	201	14	i1	i1	PROPN
ejpam-6001	201	15	,	,	PUNCT
ejpam-6001	201	16	i2	i2	PROPN
ejpam-6001	201	17	,	,	PUNCT
ejpam-6001	201	18	h	h	NOUN
ejpam-6001	201	19	,	,	PUNCT
ejpam-6001	201	20	r1	r1	NOUN
ejpam-6001	201	21	,	,	PUNCT
ejpam-6001	201	22	d)−	d)−	PROPN
ejpam-6001	201	23	f6	f6	PROPN
ejpam-6001	201	24	(	(	PUNCT
ejpam-6001	201	25	t	t	PROPN
ejpam-6001	201	26	,	,	PUNCT
ejpam-6001	201	27	s	s	X
ejpam-6001	201	28	,	,	PUNCT
ejpam-6001	201	29	e	e	NOUN
ejpam-6001	201	30	,	,	PUNCT
ejpam-6001	201	31	i1	i1	PROPN
ejpam-6001	201	32	,	,	PUNCT
ejpam-6001	201	33	i2	i2	PROPN
ejpam-6001	201	34	,	,	PUNCT
ejpam-6001	201	35	h	h	NOUN
ejpam-6001	201	36	,	,	PUNCT
ejpam-6001	201	37	r2	r2	NOUN
ejpam-6001	201	38	,	,	PUNCT
ejpam-6001	201	39	d	d	NOUN
ejpam-6001	201	40	)	)	PUNCT
ejpam-6001	201	41	|	|	ADV
ejpam-6001	201	42	<	<	X
ejpam-6001	201	43	p6|r2	p6|r2	PROPN
ejpam-6001	201	44	−r1|	−r1|	PROPN
ejpam-6001	201	45	.	.	PUNCT
ejpam-6001	202	1	(	(	PUNCT
ejpam-6001	202	2	15	15	NUM
ejpam-6001	202	3	)	)	PUNCT
ejpam-6001	202	4	where	where	SCONJ
ejpam-6001	202	5	p2	p2	PROPN
ejpam-6001	202	6	=	=	SYM
ejpam-6001	202	7	d0	d0	PROPN
ejpam-6001	202	8	+	+	CCONJ
ejpam-6001	202	9	ϕ+	ϕ+	PROPN
ejpam-6001	202	10	η	η	PROPN
ejpam-6001	202	11	,	,	PUNCT
ejpam-6001	202	12	p3	p3	PROPN
ejpam-6001	202	13	=	=	SYM
ejpam-6001	202	14	γ1	γ1	PROPN
ejpam-6001	202	15	+	+	CCONJ
ejpam-6001	202	16	h1	h1	NOUN
ejpam-6001	202	17	+	+	CCONJ
ejpam-6001	202	18	d0	d0	NOUN
ejpam-6001	202	19	+	+	CCONJ
ejpam-6001	202	20	c1	c1	NOUN
ejpam-6001	202	21	,	,	PUNCT
ejpam-6001	202	22	p4	p4	ADJ
ejpam-6001	202	23	=	=	SYM
ejpam-6001	202	24	γ2	γ2	NOUN
ejpam-6001	202	25	+	+	CCONJ
ejpam-6001	202	26	h2	h2	NOUN
ejpam-6001	202	27	+	+	CCONJ
ejpam-6001	202	28	d0	d0	NOUN
ejpam-6001	202	29	+	+	CCONJ
ejpam-6001	202	30	c2	c2	PROPN
ejpam-6001	202	31	,	,	PUNCT
ejpam-6001	202	32	p5	p5	PROPN
ejpam-6001	202	33	=	=	SYM
ejpam-6001	202	34	h0	h0	PROPN
ejpam-6001	202	35	,	,	PUNCT
ejpam-6001	202	36	p6	p6	NOUN
ejpam-6001	202	37	=	=	PUNCT
ejpam-6001	202	38	r	r	NOUN
ejpam-6001	202	39	+	+	NUM
ejpam-6001	202	40	d0	d0	NOUN
ejpam-6001	202	41	.	.	PUNCT
ejpam-6001	203	1	thus	thus	ADV
ejpam-6001	203	2	model	model	NOUN
ejpam-6001	203	3	(	(	PUNCT
ejpam-6001	203	4	1	1	NUM
ejpam-6001	203	5	)	)	PUNCT
ejpam-6001	203	6	has	have	VERB
ejpam-6001	203	7	a	a	DET
ejpam-6001	203	8	unique	unique	ADJ
ejpam-6001	203	9	set	set	NOUN
ejpam-6001	203	10	of	of	ADP
ejpam-6001	203	11	solutions	solution	NOUN
ejpam-6001	203	12	as	as	SCONJ
ejpam-6001	203	13	indicated	indicate	VERB
ejpam-6001	203	14	by	by	ADP
ejpam-6001	203	15	the	the	DET
ejpam-6001	203	16	uniqueness	uniqueness	NOUN
ejpam-6001	203	17	and	and	CCONJ
ejpam-6001	203	18	existence	existence	NOUN
ejpam-6001	203	19	.	.	PUNCT
ejpam-6001	204	1	3.2	3.2	NUM
ejpam-6001	204	2	.	.	PUNCT
ejpam-6001	204	3	disease	disease	NOUN
ejpam-6001	204	4	free	free	ADJ
ejpam-6001	204	5	equilibrium	equilibrium	NOUN
ejpam-6001	204	6	points	point	NOUN
ejpam-6001	204	7	dfep	dfep	NOUN
ejpam-6001	204	8	:	:	PUNCT
ejpam-6001	204	9	dfep	dfep	NOUN
ejpam-6001	204	10	of	of	ADP
ejpam-6001	204	11	model	model	NOUN
ejpam-6001	204	12	(	(	PUNCT
ejpam-6001	204	13	1	1	X
ejpam-6001	204	14	)	)	PUNCT
ejpam-6001	204	15	is	be	AUX
ejpam-6001	204	16	represented	represent	VERB
ejpam-6001	204	17	by	by	ADP
ejpam-6001	204	18	p0	p0	NOUN
ejpam-6001	204	19	=	=	SYM
ejpam-6001	204	20	(	(	PUNCT
ejpam-6001	204	21	s0	s0	PROPN
ejpam-6001	204	22	,	,	PUNCT
ejpam-6001	204	23	0	0	NUM
ejpam-6001	204	24	,	,	PUNCT
ejpam-6001	204	25	0	0	NUM
ejpam-6001	204	26	,	,	PUNCT
ejpam-6001	204	27	0	0	NUM
ejpam-6001	204	28	,	,	PUNCT
ejpam-6001	204	29	0	0	NUM
ejpam-6001	204	30	,	,	PUNCT
ejpam-6001	204	31	0	0	NUM
ejpam-6001	204	32	)	)	PUNCT
ejpam-6001	204	33	.	.	PUNCT
ejpam-6001	205	1	where	where	SCONJ
ejpam-6001	205	2	p0	p0	NOUN
ejpam-6001	205	3	=	=	SYM
ejpam-6001	205	4	(	(	PUNCT
ejpam-6001	205	5	b	b	NOUN
ejpam-6001	205	6	d0	d0	NOUN
ejpam-6001	205	7	,	,	PUNCT
ejpam-6001	205	8	0	0	NUM
ejpam-6001	205	9	,	,	PUNCT
ejpam-6001	205	10	0	0	NUM
ejpam-6001	205	11	,	,	PUNCT
ejpam-6001	205	12	0	0	NUM
ejpam-6001	205	13	,	,	PUNCT
ejpam-6001	205	14	0	0	NUM
ejpam-6001	205	15	,	,	PUNCT
ejpam-6001	205	16	0	0	NUM
ejpam-6001	205	17	)	)	PUNCT
ejpam-6001	205	18	.	.	PUNCT
ejpam-6001	206	1	3.3	3.3	NUM
ejpam-6001	206	2	.	.	PUNCT
ejpam-6001	207	1	endemic	endemic	ADJ
ejpam-6001	207	2	equilibrium	equilibrium	NOUN
ejpam-6001	207	3	points	point	NOUN
ejpam-6001	207	4	eep	eep	NOUN
ejpam-6001	207	5	we	we	PRON
ejpam-6001	207	6	obtained	obtain	VERB
ejpam-6001	207	7	eep	eep	NOUN
ejpam-6001	207	8	for	for	ADP
ejpam-6001	207	9	our	our	PRON
ejpam-6001	207	10	model	model	NOUN
ejpam-6001	207	11	(	(	PUNCT
ejpam-6001	207	12	1	1	NUM
ejpam-6001	207	13	)	)	PUNCT
ejpam-6001	207	14	as	as	PUNCT
ejpam-6001	207	15	s∗	s∗	PROPN
ejpam-6001	207	16	=	=	PUNCT
ejpam-6001	207	17	b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	PROPN
ejpam-6001	207	18	]	]	PUNCT
ejpam-6001	207	19	(	(	PUNCT
ejpam-6001	207	20	r+d0)(ki∗(βi∗+1)+d0	r+d0)(ki∗(βi∗+1)+d0	NOUN
ejpam-6001	207	21	)	)	PUNCT
ejpam-6001	207	22	,	,	PUNCT
ejpam-6001	207	23	e∗=	e∗=	PROPN
ejpam-6001	207	24	ki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	ki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	ADV
ejpam-6001	207	25	]	]	X
ejpam-6001	207	26	)	)	PUNCT
ejpam-6001	207	27	(	(	PUNCT
ejpam-6001	207	28	r+d0)(d0+ϕ+η	r+d0)(d0+ϕ+η	NOUN
ejpam-6001	207	29	)	)	PUNCT
ejpam-6001	207	30	,	,	PUNCT
ejpam-6001	207	31	i∗1	i∗1	NOUN
ejpam-6001	208	1	=	=	PUNCT
ejpam-6001	208	2	ϕki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	ϕki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	NOUN
ejpam-6001	208	3	]	]	X
ejpam-6001	208	4	)	)	PUNCT
ejpam-6001	208	5	(	(	PUNCT
ejpam-6001	208	6	r+d0)(d0+ϕ+η)(γ1+h1+d0+c1	r+d0)(d0+ϕ+η)(γ1+h1+d0+c1	PROPN
ejpam-6001	208	7	)	)	PUNCT
ejpam-6001	208	8	,	,	PUNCT
ejpam-6001	208	9	i∗2	i∗2	NOUN
ejpam-6001	208	10	=	=	SYM
ejpam-6001	208	11	ηki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	ηki∗(βi∗+1)(b(r+d0)+r[(γ1+h1)i∗1+(γ2+h2)i∗2	NOUN
ejpam-6001	208	12	]	]	X
ejpam-6001	208	13	)	)	PUNCT
ejpam-6001	208	14	(	(	PUNCT
ejpam-6001	208	15	r+d0)(d0+ϕ+η)(γ2+h2+d0+c2	r+d0)(d0+ϕ+η)(γ2+h2+d0+c2	PROPN
ejpam-6001	208	16	)	)	PUNCT
ejpam-6001	208	17	,	,	PUNCT
ejpam-6001	208	18	h∗=	h∗=	PROPN
ejpam-6001	208	19	h1i∗1+h2i∗2	h1i∗1+h2i∗2	PROPN
ejpam-6001	208	20	h0	h0	NOUN
ejpam-6001	208	21	,	,	PUNCT
ejpam-6001	208	22	r∗=	r∗=	PROPN
ejpam-6001	208	23	(	(	PUNCT
ejpam-6001	208	24	γ1+h1)i∗1+(γ2+h2)i∗2	γ1+h1)i∗1+(γ2+h2)i∗2	PROPN
ejpam-6001	208	25	r+d0	r+d0	NOUN
ejpam-6001	208	26	.	.	PUNCT
ejpam-6001	209	1	(	(	PUNCT
ejpam-6001	209	2	16	16	NUM
ejpam-6001	209	3	)	)	PUNCT
ejpam-6001	209	4	3.4	3.4	NUM
ejpam-6001	209	5	.	.	PUNCT
ejpam-6001	210	1	effective	effective	ADJ
ejpam-6001	210	2	reproduction	reproduction	NOUN
ejpam-6001	210	3	number	number	NOUN
ejpam-6001	210	4	r0	r0	VERB
ejpam-6001	210	5	the	the	DET
ejpam-6001	210	6	effective	effective	ADJ
ejpam-6001	210	7	reproduction	reproduction	NOUN
ejpam-6001	210	8	number	number	NOUN
ejpam-6001	210	9	,	,	PUNCT
ejpam-6001	210	10	or	or	CCONJ
ejpam-6001	210	11	r0	r0	NOUN
ejpam-6001	210	12	is	be	AUX
ejpam-6001	210	13	a	a	DET
ejpam-6001	210	14	terminology	terminology	NOUN
ejpam-6001	210	15	in	in	ADP
ejpam-6001	210	16	epidemiology	epidemiology	NOUN
ejpam-6001	210	17	that	that	PRON
ejpam-6001	210	18	describes	describe	VERB
ejpam-6001	210	19	how	how	SCONJ
ejpam-6001	210	20	diseases	disease	NOUN
ejpam-6001	210	21	are	be	AUX
ejpam-6001	210	22	managed	manage	VERB
ejpam-6001	210	23	and	and	CCONJ
ejpam-6001	210	24	spread	spread	VERB
ejpam-6001	210	25	.	.	PUNCT
ejpam-6001	211	1	r0	r0	NOUN
ejpam-6001	211	2	provides	provide	VERB
ejpam-6001	211	3	information	information	NOUN
ejpam-6001	211	4	about	about	ADP
ejpam-6001	211	5	the	the	DET
ejpam-6001	211	6	prevalence	prevalence	NOUN
ejpam-6001	211	7	of	of	ADP
ejpam-6001	211	8	the	the	DET
ejpam-6001	211	9	disease	disease	NOUN
ejpam-6001	211	10	in	in	ADP
ejpam-6001	211	11	the	the	DET
ejpam-6001	211	12	population	population	NOUN
ejpam-6001	211	13	as	as	ADV
ejpam-6001	211	14	well	well	ADV
ejpam-6001	211	15	as	as	ADP
ejpam-6001	211	16	the	the	DET
ejpam-6001	211	17	most	most	ADV
ejpam-6001	211	18	effective	effective	ADJ
ejpam-6001	211	19	measures	measure	NOUN
ejpam-6001	211	20	for	for	ADP
ejpam-6001	211	21	defending	defend	VERB
ejpam-6001	211	22	the	the	DET
ejpam-6001	211	23	local	local	ADJ
ejpam-6001	211	24	population	population	NOUN
ejpam-6001	211	25	against	against	ADP
ejpam-6001	211	26	the	the	DET
ejpam-6001	211	27	fatal	fatal	ADJ
ejpam-6001	211	28	virus	virus	NOUN
ejpam-6001	211	29	.	.	PUNCT
ejpam-6001	212	1	by	by	ADP
ejpam-6001	212	2	using	use	VERB
ejpam-6001	212	3	the	the	DET
ejpam-6001	212	4	concept	concept	NOUN
ejpam-6001	212	5	of	of	ADP
ejpam-6001	212	6	next	next	ADJ
ejpam-6001	212	7	generation	generation	NOUN
ejpam-6001	212	8	matrix	matrix	NOUN
ejpam-6001	212	9	for	for	ADP
ejpam-6001	212	10	finding	find	VERB
ejpam-6001	212	11	r0	r0	NOUN
ejpam-6001	212	12	.	.	PUNCT
ejpam-6001	213	1	m.	m.	NOUN
ejpam-6001	213	2	riaz	riaz	PROPN
ejpam-6001	213	3	et	et	PROPN
ejpam-6001	213	4	al	al	PROPN
ejpam-6001	213	5	.	.	PUNCT
ejpam-6001	213	6	/	/	SYM
ejpam-6001	213	7	eur	eur	PROPN
ejpam-6001	213	8	.	.	PUNCT
ejpam-6001	214	1	j.	j.	PROPN
ejpam-6001	214	2	pure	pure	PROPN
ejpam-6001	214	3	appl	appl	PROPN
ejpam-6001	214	4	.	.	PROPN
ejpam-6001	214	5	math	math	PROPN
ejpam-6001	214	6	,	,	PUNCT
ejpam-6001	214	7	18	18	NUM
ejpam-6001	214	8	(	(	PUNCT
ejpam-6001	214	9	2	2	NUM
ejpam-6001	214	10	)	)	PUNCT
ejpam-6001	214	11	(	(	PUNCT
ejpam-6001	214	12	2025	2025	NUM
ejpam-6001	214	13	)	)	PUNCT
ejpam-6001	214	14	,	,	PUNCT
ejpam-6001	214	15	6001	6001	NUM
ejpam-6001	214	16	10	10	NUM
ejpam-6001	214	17	of	of	ADP
ejpam-6001	214	18	27	27	NUM
ejpam-6001	214	19	let	let	VERB
ejpam-6001	214	20	χ	χ	X
ejpam-6001	214	21	=	=	SYM
ejpam-6001	214	22	(	(	PUNCT
ejpam-6001	214	23	e	e	PROPN
ejpam-6001	214	24	,	,	PUNCT
ejpam-6001	214	25	i1	i1	PROPN
ejpam-6001	214	26	,	,	PUNCT
ejpam-6001	214	27	i2	i2	PROPN
ejpam-6001	214	28	)	)	PUNCT
ejpam-6001	214	29	,	,	PUNCT
ejpam-6001	214	30	then	then	ADV
ejpam-6001	214	31	form	form	NOUN
ejpam-6001	214	32	system	system	NOUN
ejpam-6001	214	33	(	(	PUNCT
ejpam-6001	214	34	1	1	NUM
ejpam-6001	214	35	)	)	PUNCT
ejpam-6001	214	36	,	,	PUNCT
ejpam-6001	214	37	we	we	PRON
ejpam-6001	214	38	have	have	VERB
ejpam-6001	214	39	dχ	dχ	NOUN
ejpam-6001	214	40	dt	dt	NOUN
ejpam-6001	214	41	=	=	PUNCT
ejpam-6001	215	1	w	w	PROPN
ejpam-6001	215	2	−u	−u	PROPN
ejpam-6001	215	3	,	,	PUNCT
ejpam-6001	215	4	where	where	SCONJ
ejpam-6001	215	5	w	w	NOUN
ejpam-6001	215	6	=	=	SYM
ejpam-6001	215	7			PROPN
ejpam-6001	215	8	ksi(βi+	ksi(βi+	PROPN
ejpam-6001	215	9	1	1	NUM
ejpam-6001	215	10	)	)	PUNCT
ejpam-6001	215	11	0	0	NUM
ejpam-6001	215	12	0	0	NUM
ejpam-6001	216	1			PROPN
ejpam-6001	216	2	and	and	CCONJ
ejpam-6001	216	3	u	u	NOUN
ejpam-6001	216	4	=	=	PROPN
ejpam-6001	216	5			PROPN
ejpam-6001	216	6	(	(	PUNCT
ejpam-6001	216	7	d0	d0	NOUN
ejpam-6001	216	8	+	+	CCONJ
ejpam-6001	216	9	η	η	PROPN
ejpam-6001	216	10	+	+	PROPN
ejpam-6001	216	11	ϕ)e	ϕ)e	NOUN
ejpam-6001	216	12	−ϕe+	−ϕe+	X
ejpam-6001	216	13	(	(	PUNCT
ejpam-6001	216	14	γ1	γ1	NOUN
ejpam-6001	216	15	+	+	CCONJ
ejpam-6001	216	16	h1	h1	NOUN
ejpam-6001	216	17	+	+	CCONJ
ejpam-6001	216	18	d0	d0	NOUN
ejpam-6001	216	19	+	+	CCONJ
ejpam-6001	216	20	c1)i1	c1)i1	ADJ
ejpam-6001	216	21	−ηe+	−ηe+	ADP
ejpam-6001	216	22	(	(	PUNCT
ejpam-6001	216	23	γ2	γ2	ADJ
ejpam-6001	216	24	+	+	CCONJ
ejpam-6001	216	25	h2	h2	NOUN
ejpam-6001	216	26	+	+	CCONJ
ejpam-6001	216	27	d0	d0	NOUN
ejpam-6001	216	28	+	+	CCONJ
ejpam-6001	216	29	c2)i2	c2)i2	PROPN
ejpam-6001	216	30			PROPN
ejpam-6001	216	31	.	.	PUNCT
ejpam-6001	217	1	jacobian	jacobian	PROPN
ejpam-6001	217	2	of	of	ADP
ejpam-6001	217	3	w	w	PROPN
ejpam-6001	217	4	for	for	ADP
ejpam-6001	217	5	the	the	DET
ejpam-6001	217	6	disease	disease	NOUN
ejpam-6001	217	7	-	-	PUNCT
ejpam-6001	217	8	free	free	ADJ
ejpam-6001	217	9	equilibrium	equilibrium	NOUN
ejpam-6001	217	10	is	be	AUX
ejpam-6001	217	11	w	w	NOUN
ejpam-6001	217	12	=	=	SYM
ejpam-6001	217	13			X
ejpam-6001	217	14	0	0	NUM
ejpam-6001	217	15	ks0	ks0	VERB
ejpam-6001	217	16	ks0	ks0	NOUN
ejpam-6001	217	17	0	0	NUM
ejpam-6001	217	18	0	0	NUM
ejpam-6001	217	19	0	0	NUM
ejpam-6001	217	20	0	0	NUM
ejpam-6001	217	21	0	0	NUM
ejpam-6001	217	22	0	0	NUM
ejpam-6001	217	23			PROPN
ejpam-6001	217	24	and	and	CCONJ
ejpam-6001	217	25	for	for	ADP
ejpam-6001	217	26	the	the	DET
ejpam-6001	217	27	dfe	dfe	PROPN
ejpam-6001	217	28	jacobian	jacobian	PROPN
ejpam-6001	217	29	of	of	ADP
ejpam-6001	217	30	u	u	PROPN
ejpam-6001	217	31	is	be	AUX
ejpam-6001	217	32	given	give	VERB
ejpam-6001	217	33	u	u	NOUN
ejpam-6001	217	34	=	=	SYM
ejpam-6001	217	35			PROPN
ejpam-6001	217	36	(	(	PUNCT
ejpam-6001	217	37	d0	d0	NOUN
ejpam-6001	217	38	+	+	CCONJ
ejpam-6001	217	39	η	η	PROPN
ejpam-6001	217	40	+	+	PROPN
ejpam-6001	217	41	ϕ	ϕ	PROPN
ejpam-6001	217	42	)	)	PUNCT
ejpam-6001	217	43	0	0	NUM
ejpam-6001	217	44	0	0	NUM
ejpam-6001	217	45	−ϕ	−ϕ	ADJ
ejpam-6001	217	46	γ1	γ1	NOUN
ejpam-6001	217	47	+	+	CCONJ
ejpam-6001	217	48	h1	h1	PROPN
ejpam-6001	217	49	+	+	CCONJ
ejpam-6001	217	50	d0	d0	NOUN
ejpam-6001	217	51	+	+	CCONJ
ejpam-6001	217	52	c1	c1	NOUN
ejpam-6001	217	53	0	0	NUM
ejpam-6001	218	1	−η	−η	NOUN
ejpam-6001	218	2	0	0	NUM
ejpam-6001	219	1	γ2	γ2	PROPN
ejpam-6001	219	2	+	+	CCONJ
ejpam-6001	219	3	h2	h2	NOUN
ejpam-6001	219	4	+	+	CCONJ
ejpam-6001	219	5	d0	d0	NOUN
ejpam-6001	219	6	+	+	CCONJ
ejpam-6001	219	7	c2	c2	PROPN
ejpam-6001	219	8			PROPN
ejpam-6001	219	9	.	.	PUNCT
ejpam-6001	220	1	wu−1	wu−1	NOUN
ejpam-6001	220	2	=	=	PUNCT
ejpam-6001	220	3			PROPN
ejpam-6001	220	4	0	0	NUM
ejpam-6001	220	5	ks0	ks0	VERB
ejpam-6001	220	6	ks0	ks0	NOUN
ejpam-6001	220	7	0	0	NUM
ejpam-6001	220	8	0	0	NUM
ejpam-6001	220	9	0	0	NUM
ejpam-6001	220	10	0	0	NUM
ejpam-6001	220	11	0	0	NUM
ejpam-6001	220	12	0	0	NUM
ejpam-6001	220	13			PUNCT
ejpam-6001	220	14	q(γ1	q(γ1	NOUN
ejpam-6001	220	15	+	+	CCONJ
ejpam-6001	220	16	h1	h1	X
ejpam-6001	220	17	+	+	CCONJ
ejpam-6001	220	18	d0	d0	NOUN
ejpam-6001	220	19	+	+	CCONJ
ejpam-6001	220	20	c1	c1	NOUN
ejpam-6001	220	21	)	)	PUNCT
ejpam-6001	220	22	0	0	NUM
ejpam-6001	220	23	0	0	NUM
ejpam-6001	220	24	ϕ(γ2	ϕ(γ2	NOUN
ejpam-6001	221	1	+	+	CCONJ
ejpam-6001	221	2	h2	h2	NOUN
ejpam-6001	221	3	+	+	CCONJ
ejpam-6001	221	4	d0	d0	NOUN
ejpam-6001	221	5	+	+	CCONJ
ejpam-6001	221	6	c2	c2	PROPN
ejpam-6001	221	7	)	)	PUNCT
ejpam-6001	221	8	q(γ2	q(γ2	VERB
ejpam-6001	221	9	+	+	X
ejpam-6001	221	10	h2	h2	NOUN
ejpam-6001	221	11	+	+	CCONJ
ejpam-6001	221	12	d0	d0	NOUN
ejpam-6001	221	13	+	+	CCONJ
ejpam-6001	222	1	c2	c2	PROPN
ejpam-6001	222	2	)	)	PUNCT
ejpam-6001	222	3	0	0	NUM
ejpam-6001	222	4	η(γ1	η(γ1	VERB
ejpam-6001	222	5	+	+	X
ejpam-6001	222	6	h1	h1	ADJ
ejpam-6001	222	7	+	+	CCONJ
ejpam-6001	222	8	d0	d0	NOUN
ejpam-6001	222	9	+	+	CCONJ
ejpam-6001	222	10	c1	c1	NOUN
ejpam-6001	222	11	)	)	PUNCT
ejpam-6001	222	12	0	0	NUM
ejpam-6001	222	13	q(γ1	q(γ1	NOUN
ejpam-6001	223	1	+	+	CCONJ
ejpam-6001	223	2	h1	h1	X
ejpam-6001	223	3	+	+	CCONJ
ejpam-6001	223	4	d0	d0	NOUN
ejpam-6001	223	5	+	+	CCONJ
ejpam-6001	223	6	c1	c1	NOUN
ejpam-6001	223	7	)	)	PUNCT
ejpam-6001	224	1			PROPN
ejpam-6001	224	2	(	(	PUNCT
ejpam-6001	224	3	q(γ1	q(γ1	NOUN
ejpam-6001	224	4	+	+	CCONJ
ejpam-6001	224	5	h1	h1	NOUN
ejpam-6001	224	6	+	+	CCONJ
ejpam-6001	224	7	d0	d0	NOUN
ejpam-6001	224	8	+	+	CCONJ
ejpam-6001	224	9	c1)(γ2	c1)(γ2	NOUN
ejpam-6001	224	10	+	+	CCONJ
ejpam-6001	224	11	h2	h2	NOUN
ejpam-6001	224	12	+	+	CCONJ
ejpam-6001	224	13	d0	d0	NOUN
ejpam-6001	224	14	+	+	CCONJ
ejpam-6001	224	15	c2	c2	PROPN
ejpam-6001	224	16	)	)	PUNCT
ejpam-6001	224	17	.	.	PUNCT
ejpam-6001	225	1	where	where	SCONJ
ejpam-6001	225	2	q	q	NOUN
ejpam-6001	225	3	=	=	SYM
ejpam-6001	225	4	d0	d0	NOUN
ejpam-6001	225	5	+	+	CCONJ
ejpam-6001	225	6	η	η	PROPN
ejpam-6001	225	7	+	+	PROPN
ejpam-6001	225	8	ϕ	ϕ	PROPN
ejpam-6001	225	9	,	,	PUNCT
ejpam-6001	225	10	and	and	CCONJ
ejpam-6001	225	11	wu−1	wu−1	PROPN
ejpam-6001	225	12	is	be	AUX
ejpam-6001	225	13	the	the	DET
ejpam-6001	225	14	next	next	ADJ
ejpam-6001	225	15	generation	generation	NOUN
ejpam-6001	225	16	matrix	matrix	NOUN
ejpam-6001	225	17	.	.	PUNCT
ejpam-6001	226	1	the	the	DET
ejpam-6001	226	2	non	non	ADJ
ejpam-6001	226	3	-	-	ADJ
ejpam-6001	226	4	negative	negative	ADJ
ejpam-6001	226	5	eigenvalues	eigenvalue	NOUN
ejpam-6001	226	6	are	be	AUX
ejpam-6001	226	7	r01	r01	NOUN
ejpam-6001	226	8	=	=	SYM
ejpam-6001	226	9	kb	kb	PROPN
ejpam-6001	226	10	d0(d0	d0(d0	NOUN
ejpam-6001	226	11	+	+	CCONJ
ejpam-6001	226	12	ϕ+	ϕ+	PUNCT
ejpam-6001	226	13	η)(γ2	η)(γ2	NOUN
ejpam-6001	226	14	+	+	CCONJ
ejpam-6001	226	15	h2	h2	NOUN
ejpam-6001	226	16	+	+	CCONJ
ejpam-6001	226	17	d0	d0	PROPN
ejpam-6001	226	18	+	+	CCONJ
ejpam-6001	226	19	c2	c2	PROPN
ejpam-6001	226	20	)	)	PUNCT
ejpam-6001	226	21	r02	r02	NOUN
ejpam-6001	226	22	=	=	PUNCT
ejpam-6001	226	23	kbϕ	kbϕ	NOUN
ejpam-6001	226	24	d0(d0	d0(d0	NOUN
ejpam-6001	226	25	+	+	CCONJ
ejpam-6001	226	26	ϕ+	ϕ+	CCONJ
ejpam-6001	226	27	η)(γ1	η)(γ1	NOUN
ejpam-6001	226	28	+	+	CCONJ
ejpam-6001	226	29	h1	h1	PROPN
ejpam-6001	226	30	+	+	CCONJ
ejpam-6001	226	31	d0	d0	NOUN
ejpam-6001	226	32	+	+	CCONJ
ejpam-6001	226	33	c1	c1	NOUN
ejpam-6001	226	34	)	)	PUNCT
ejpam-6001	226	35	.	.	PUNCT
ejpam-6001	227	1	r01	r01	PROPN
ejpam-6001	227	2	represent	represent	VERB
ejpam-6001	227	3	the	the	DET
ejpam-6001	227	4	effective	effective	ADJ
ejpam-6001	227	5	reproduction	reproduction	NOUN
ejpam-6001	227	6	of	of	ADP
ejpam-6001	227	7	first	first	ADJ
ejpam-6001	227	8	strain	strain	NOUN
ejpam-6001	227	9	of	of	ADP
ejpam-6001	227	10	covid-19	covid-19	PROPN
ejpam-6001	227	11	and	and	CCONJ
ejpam-6001	227	12	r02	r02	NOUN
ejpam-6001	227	13	represent	represent	VERB
ejpam-6001	227	14	the	the	DET
ejpam-6001	227	15	effective	effective	ADJ
ejpam-6001	227	16	reproduction	reproduction	NOUN
ejpam-6001	227	17	of	of	ADP
ejpam-6001	227	18	second	second	ADJ
ejpam-6001	227	19	strain	strain	NOUN
ejpam-6001	227	20	of	of	ADP
ejpam-6001	227	21	covid-19	covid-19	PROPN
ejpam-6001	227	22	.	.	PUNCT
ejpam-6001	228	1	hence	hence	ADV
ejpam-6001	228	2	r0	r0	NOUN
ejpam-6001	228	3	=	=	SYM
ejpam-6001	228	4	max	max	PROPN
ejpam-6001	229	1	[	[	X
ejpam-6001	229	2	r01,r02	r01,r02	X
ejpam-6001	229	3	]	]	PUNCT
ejpam-6001	229	4	.	.	PUNCT
ejpam-6001	230	1	(	(	PUNCT
ejpam-6001	230	2	17	17	NUM
ejpam-6001	230	3	)	)	PUNCT
ejpam-6001	230	4	m.	m.	NOUN
ejpam-6001	230	5	riaz	riaz	PROPN
ejpam-6001	230	6	et	et	PROPN
ejpam-6001	230	7	al	al	PROPN
ejpam-6001	230	8	.	.	PUNCT
ejpam-6001	230	9	/	/	SYM
ejpam-6001	230	10	eur	eur	PROPN
ejpam-6001	230	11	.	.	PUNCT
ejpam-6001	231	1	j.	j.	PROPN
ejpam-6001	231	2	pure	pure	PROPN
ejpam-6001	231	3	appl	appl	PROPN
ejpam-6001	231	4	.	.	PROPN
ejpam-6001	231	5	math	math	PROPN
ejpam-6001	231	6	,	,	PUNCT
ejpam-6001	231	7	18	18	NUM
ejpam-6001	231	8	(	(	PUNCT
ejpam-6001	231	9	2	2	NUM
ejpam-6001	231	10	)	)	PUNCT
ejpam-6001	231	11	(	(	PUNCT
ejpam-6001	231	12	2025	2025	NUM
ejpam-6001	231	13	)	)	PUNCT
ejpam-6001	231	14	,	,	PUNCT
ejpam-6001	231	15	6001	6001	NUM
ejpam-6001	231	16	11	11	NUM
ejpam-6001	231	17	of	of	ADP
ejpam-6001	231	18	27	27	NUM
ejpam-6001	231	19	4	4	NUM
ejpam-6001	231	20	.	.	PUNCT
ejpam-6001	232	1	stability	stability	NOUN
ejpam-6001	232	2	analysis	analysis	NOUN
ejpam-6001	232	3	this	this	DET
ejpam-6001	232	4	section	section	NOUN
ejpam-6001	232	5	investigates	investigate	VERB
ejpam-6001	232	6	the	the	DET
ejpam-6001	232	7	properties	property	NOUN
ejpam-6001	232	8	of	of	ADP
ejpam-6001	232	9	the	the	DET
ejpam-6001	232	10	equilibrium	equilibrium	NOUN
ejpam-6001	232	11	point	point	NOUN
ejpam-6001	232	12	and	and	CCONJ
ejpam-6001	232	13	the	the	DET
ejpam-6001	232	14	local	local	ADJ
ejpam-6001	232	15	and	and	CCONJ
ejpam-6001	232	16	global	global	ADJ
ejpam-6001	232	17	stability	stability	NOUN
ejpam-6001	232	18	of	of	ADP
ejpam-6001	232	19	the	the	DET
ejpam-6001	232	20	system	system	NOUN
ejpam-6001	232	21	(	(	PUNCT
ejpam-6001	232	22	1	1	NUM
ejpam-6001	232	23	)	)	PUNCT
ejpam-6001	232	24	.	.	PUNCT
ejpam-6001	233	1	we	we	PRON
ejpam-6001	233	2	provide	provide	VERB
ejpam-6001	233	3	references	reference	NOUN
ejpam-6001	233	4	to	to	ADP
ejpam-6001	233	5	relevant	relevant	ADJ
ejpam-6001	233	6	papers	paper	NOUN
ejpam-6001	233	7	as	as	ADP
ejpam-6001	233	8	[	[	X
ejpam-6001	233	9	48	48	NUM
ejpam-6001	233	10	,	,	PUNCT
ejpam-6001	233	11	49	49	NUM
ejpam-6001	233	12	]	]	PUNCT
ejpam-6001	233	13	where	where	SCONJ
ejpam-6001	233	14	a	a	DET
ejpam-6001	233	15	known	know	VERB
ejpam-6001	233	16	or	or	CCONJ
ejpam-6001	233	17	standard	standard	ADJ
ejpam-6001	233	18	result	result	NOUN
ejpam-6001	233	19	has	have	AUX
ejpam-6001	233	20	been	be	AUX
ejpam-6001	233	21	used	use	VERB
ejpam-6001	233	22	as	as	ADP
ejpam-6001	233	23	a	a	DET
ejpam-6001	233	24	basis	basis	NOUN
ejpam-6001	233	25	for	for	ADP
ejpam-6001	233	26	our	our	PRON
ejpam-6001	233	27	proofs	proof	NOUN
ejpam-6001	233	28	.	.	PUNCT
ejpam-6001	234	1	4.1	4.1	NUM
ejpam-6001	234	2	.	.	PUNCT
ejpam-6001	234	3	local	local	ADJ
ejpam-6001	234	4	stability	stability	NOUN
ejpam-6001	234	5	in	in	ADP
ejpam-6001	234	6	this	this	DET
ejpam-6001	234	7	section	section	NOUN
ejpam-6001	234	8	of	of	ADP
ejpam-6001	234	9	our	our	PRON
ejpam-6001	234	10	study	study	NOUN
ejpam-6001	234	11	,	,	PUNCT
ejpam-6001	234	12	we	we	PRON
ejpam-6001	234	13	go	go	VERB
ejpam-6001	234	14	over	over	ADP
ejpam-6001	234	15	the	the	DET
ejpam-6001	234	16	system	system	NOUN
ejpam-6001	234	17	’s	’s	PART
ejpam-6001	234	18	local	local	ADJ
ejpam-6001	234	19	stability	stability	NOUN
ejpam-6001	234	20	(	(	PUNCT
ejpam-6001	234	21	1	1	NUM
ejpam-6001	234	22	)	)	PUNCT
ejpam-6001	234	23	.	.	PUNCT
ejpam-6001	235	1	the	the	DET
ejpam-6001	235	2	following	follow	VERB
ejpam-6001	235	3	theorem	theorem	NOUN
ejpam-6001	235	4	is	be	AUX
ejpam-6001	235	5	present	present	ADJ
ejpam-6001	235	6	to	to	PART
ejpam-6001	235	7	obtain	obtain	VERB
ejpam-6001	235	8	the	the	DET
ejpam-6001	235	9	necessary	necessary	ADJ
ejpam-6001	235	10	conclusions	conclusion	NOUN
ejpam-6001	235	11	while	while	SCONJ
ejpam-6001	235	12	employing	employ	VERB
ejpam-6001	235	13	the	the	DET
ejpam-6001	235	14	jacobian	jacobian	ADJ
ejpam-6001	235	15	matrix	matrix	NOUN
ejpam-6001	235	16	.	.	PUNCT
ejpam-6001	236	1	theorem	theorem	NOUN
ejpam-6001	236	2	1	1	NUM
ejpam-6001	236	3	.	.	PUNCT
ejpam-6001	237	1	[	[	X
ejpam-6001	237	2	rgb]1.00,1.00,1.00	rgb]1.00,1.00,1.00	X
ejpam-6001	237	3	“	"	PUNCT
ejpam-6001	237	4	when	when	SCONJ
ejpam-6001	237	5	effective	effective	ADJ
ejpam-6001	237	6	basic	basic	ADJ
ejpam-6001	237	7	reproduction	reproduction	NOUN
ejpam-6001	237	8	number	number	NOUN
ejpam-6001	237	9	r01	r01	PROPN
ejpam-6001	237	10	<	<	X
ejpam-6001	237	11	1	1	NUM
ejpam-6001	237	12	or	or	CCONJ
ejpam-6001	237	13	r02	r02	VERB
ejpam-6001	237	14	<	<	X
ejpam-6001	237	15	1	1	NUM
ejpam-6001	237	16	,	,	PUNCT
ejpam-6001	237	17	the	the	DET
ejpam-6001	237	18	dfep	dfep	NOUN
ejpam-6001	237	19	“	"	PUNCT
ejpam-6001	237	20	p	p	NOUN
ejpam-6001	237	21	”	"	PUNCT
ejpam-6001	237	22	is	be	AUX
ejpam-6001	237	23	stable	stable	ADJ
ejpam-6001	237	24	locally	locally	ADV
ejpam-6001	237	25	asymptotically	asymptotically	ADV
ejpam-6001	237	26	.	.	PUNCT
ejpam-6001	237	27	”	"	PUNCT
ejpam-6001	238	1	proof	proof	NOUN
ejpam-6001	238	2	.	.	PUNCT
ejpam-6001	239	1	jacobian	jacobian	ADJ
ejpam-6001	239	2	matrix	matrix	NOUN
ejpam-6001	239	3	as	as	ADP
ejpam-6001	239	4	j	j	PROPN
ejpam-6001	239	5	0	0	NUM
ejpam-6001	239	6	=	=	PUNCT
ejpam-6001	239	7			ADJ
ejpam-6001	239	8	−d0	−d0	PROPN
ejpam-6001	239	9	0	0	NUM
ejpam-6001	239	10	0	0	NUM
ejpam-6001	239	11	0	0	NUM
ejpam-6001	239	12	0	0	NUM
ejpam-6001	239	13	0	0	NUM
ejpam-6001	240	1	r	r	NOUN
ejpam-6001	240	2	0	0	NUM
ejpam-6001	240	3	−(d0	−(d0	NOUN
ejpam-6001	240	4	+	+	CCONJ
ejpam-6001	240	5	ϕ+	ϕ+	PROPN
ejpam-6001	240	6	η	η	PROPN
ejpam-6001	240	7	)	)	PUNCT
ejpam-6001	240	8	0	0	NUM
ejpam-6001	241	1	0	0	NUM
ejpam-6001	241	2	0	0	NUM
ejpam-6001	241	3	0	0	NUM
ejpam-6001	241	4	0	0	NUM
ejpam-6001	241	5	0	0	NUM
ejpam-6001	241	6	ϕ	ϕ	X
ejpam-6001	241	7	−(γ1	−(γ1	ADP
ejpam-6001	241	8	+	+	CCONJ
ejpam-6001	241	9	h1	h1	NOUN
ejpam-6001	241	10	+	+	CCONJ
ejpam-6001	241	11	d0	d0	NOUN
ejpam-6001	241	12	+	+	CCONJ
ejpam-6001	241	13	c1	c1	NOUN
ejpam-6001	241	14	)	)	PUNCT
ejpam-6001	241	15	0	0	NUM
ejpam-6001	242	1	0	0	NUM
ejpam-6001	242	2	0	0	NUM
ejpam-6001	242	3	0	0	NUM
ejpam-6001	242	4	0	0	NUM
ejpam-6001	242	5	η	η	X
ejpam-6001	242	6	0	0	NUM
ejpam-6001	242	7	−(γ2	−(γ2	DET
ejpam-6001	242	8	+	+	NOUN
ejpam-6001	242	9	h2	h2	NOUN
ejpam-6001	242	10	+	+	CCONJ
ejpam-6001	242	11	d0	d0	NOUN
ejpam-6001	242	12	+	+	CCONJ
ejpam-6001	242	13	c2	c2	PROPN
ejpam-6001	242	14	)	)	PUNCT
ejpam-6001	242	15	0	0	NUM
ejpam-6001	242	16	0	0	NUM
ejpam-6001	242	17	0	0	NUM
ejpam-6001	242	18	0	0	NUM
ejpam-6001	242	19	0	0	NUM
ejpam-6001	242	20	h1	h1	NOUN
ejpam-6001	242	21	h2	h2	NOUN
ejpam-6001	242	22	−h0	−h0	VERB
ejpam-6001	242	23	0	0	NUM
ejpam-6001	242	24	0	0	NUM
ejpam-6001	242	25	0	0	SYM
ejpam-6001	242	26	0	0	NUM
ejpam-6001	242	27	γ1	γ1	PROPN
ejpam-6001	242	28	γ2	γ2	PROPN
ejpam-6001	242	29	h0	h0	PROPN
ejpam-6001	242	30	−(r	−(r	PROPN
ejpam-6001	242	31	−	−	PROPN
ejpam-6001	242	32	d0	d0	NOUN
ejpam-6001	242	33	)	)	PUNCT
ejpam-6001	242	34	0	0	NUM
ejpam-6001	242	35	0	0	NUM
ejpam-6001	242	36	0	0	NUM
ejpam-6001	242	37	c1	c1	PROPN
ejpam-6001	242	38	c2	c2	PROPN
ejpam-6001	242	39	0	0	NUM
ejpam-6001	242	40	0	0	NUM
ejpam-6001	242	41	0	0	NUM
ejpam-6001	242	42			PROPN
ejpam-6001	242	43	.	.	PUNCT
ejpam-6001	243	1	and	and	CCONJ
ejpam-6001	243	2	|λ−	|λ−	PROPN
ejpam-6001	243	3	j	j	PROPN
ejpam-6001	243	4	0(q)|	0(q)|	NUM
ejpam-6001	243	5	=	=	SYM
ejpam-6001	244	1	0	0	X
ejpam-6001	244	2	.	.	PUNCT
ejpam-6001	245	1	hence	hence	ADV
ejpam-6001	245	2	λ1	λ1	PROPN
ejpam-6001	245	3	=	=	SYM
ejpam-6001	245	4	−d0	−d0	PROPN
ejpam-6001	245	5	,	,	PUNCT
ejpam-6001	245	6	λ2	λ2	NOUN
ejpam-6001	245	7	=	=	SYM
ejpam-6001	245	8	−(d0	−(d0	PROPN
ejpam-6001	245	9	+	+	CCONJ
ejpam-6001	245	10	ϕ+	ϕ+	PROPN
ejpam-6001	245	11	η	η	PROPN
ejpam-6001	245	12	)	)	PUNCT
ejpam-6001	245	13	,	,	PUNCT
ejpam-6001	245	14	λ3	λ3	PROPN
ejpam-6001	245	15	=	=	SYM
ejpam-6001	245	16	−(γ2	−(γ2	PUNCT
ejpam-6001	245	17	+	+	NOUN
ejpam-6001	245	18	h2	h2	NOUN
ejpam-6001	245	19	+	+	CCONJ
ejpam-6001	245	20	d0	d0	NOUN
ejpam-6001	245	21	+	+	CCONJ
ejpam-6001	245	22	c2	c2	PROPN
ejpam-6001	245	23	)	)	PUNCT
ejpam-6001	245	24	,	,	PUNCT
ejpam-6001	245	25	λ4	λ4	NOUN
ejpam-6001	245	26	=	=	NOUN
ejpam-6001	245	27	−(γ1	−(γ1	X
ejpam-6001	245	28	+	+	CCONJ
ejpam-6001	245	29	h1	h1	NOUN
ejpam-6001	245	30	+	+	CCONJ
ejpam-6001	245	31	d0	d0	NOUN
ejpam-6001	245	32	+	+	CCONJ
ejpam-6001	245	33	c1	c1	PROPN
ejpam-6001	245	34	)	)	PUNCT
ejpam-6001	245	35	,	,	PUNCT
ejpam-6001	245	36	λ5	λ5	NOUN
ejpam-6001	245	37	=	=	PUNCT
ejpam-6001	245	38	−(r	−(r	NOUN
ejpam-6001	245	39	+	+	CCONJ
ejpam-6001	245	40	d0	d0	NOUN
ejpam-6001	245	41	)	)	PUNCT
ejpam-6001	245	42	,	,	PUNCT
ejpam-6001	245	43	λ6	λ6	NOUN
ejpam-6001	245	44	=	=	PUNCT
ejpam-6001	245	45	(	(	PUNCT
ejpam-6001	245	46	γ2	γ2	PROPN
ejpam-6001	245	47	+	+	CCONJ
ejpam-6001	245	48	h2	h2	NOUN
ejpam-6001	245	49	+	+	CCONJ
ejpam-6001	245	50	d0	d0	NOUN
ejpam-6001	245	51	+	+	CCONJ
ejpam-6001	245	52	c2)(r01	c2)(r01	NOUN
ejpam-6001	245	53	−	−	PROPN
ejpam-6001	245	54	1	1	NUM
ejpam-6001	245	55	)	)	PUNCT
ejpam-6001	245	56	,	,	PUNCT
ejpam-6001	245	57	λ7	λ7	PROPN
ejpam-6001	245	58	=	=	PUNCT
ejpam-6001	245	59	(	(	PUNCT
ejpam-6001	245	60	γ1	γ1	PROPN
ejpam-6001	245	61	+	+	CCONJ
ejpam-6001	245	62	h1	h1	PROPN
ejpam-6001	245	63	+	+	CCONJ
ejpam-6001	245	64	d0	d0	NOUN
ejpam-6001	245	65	+	+	CCONJ
ejpam-6001	245	66	c1)(r02	c1)(r02	NOUN
ejpam-6001	245	67	−	−	NOUN
ejpam-6001	245	68	1	1	NUM
ejpam-6001	245	69	)	)	PUNCT
ejpam-6001	245	70	.	.	PUNCT
ejpam-6001	246	1	hence	hence	ADV
ejpam-6001	246	2	λ1	λ1	ADJ
ejpam-6001	246	3	,	,	PUNCT
ejpam-6001	246	4	λ2	λ2	PROPN
ejpam-6001	246	5	,	,	PUNCT
ejpam-6001	246	6	λ3	λ3	PROPN
ejpam-6001	246	7	,	,	PUNCT
ejpam-6001	246	8	λ4	λ4	PROPN
ejpam-6001	246	9	,	,	PUNCT
ejpam-6001	246	10	λ5	λ5	NOUN
ejpam-6001	246	11	are	be	AUX
ejpam-6001	246	12	strictly	strictly	ADV
ejpam-6001	246	13	negative	negative	ADJ
ejpam-6001	246	14	,	,	PUNCT
ejpam-6001	246	15	but	but	CCONJ
ejpam-6001	246	16	λ6	λ6	PROPN
ejpam-6001	246	17	and	and	CCONJ
ejpam-6001	246	18	λ7	λ7	PROPN
ejpam-6001	246	19	are	be	AUX
ejpam-6001	246	20	negative	negative	ADJ
ejpam-6001	246	21	whenever	whenever	SCONJ
ejpam-6001	246	22	r01	r01	PROPN
ejpam-6001	246	23	<	<	X
ejpam-6001	246	24	1	1	NUM
ejpam-6001	246	25	and	and	CCONJ
ejpam-6001	246	26	r02	r02	VERB
ejpam-6001	246	27	<	<	X
ejpam-6001	246	28	1	1	NUM
ejpam-6001	246	29	.	.	NOUN
ejpam-6001	246	30	which	which	PRON
ejpam-6001	246	31	conclude	conclude	VERB
ejpam-6001	246	32	conclusion	conclusion	NOUN
ejpam-6001	246	33	.	.	PUNCT
ejpam-6001	247	1	4.2	4.2	NUM
ejpam-6001	247	2	.	.	PUNCT
ejpam-6001	247	3	global	global	ADJ
ejpam-6001	247	4	stability	stability	NOUN
ejpam-6001	247	5	in	in	ADP
ejpam-6001	247	6	this	this	DET
ejpam-6001	247	7	section	section	NOUN
ejpam-6001	247	8	of	of	ADP
ejpam-6001	247	9	our	our	PRON
ejpam-6001	247	10	paper	paper	NOUN
ejpam-6001	247	11	,	,	PUNCT
ejpam-6001	247	12	we	we	PRON
ejpam-6001	247	13	calculated	calculate	VERB
ejpam-6001	247	14	global	global	ADJ
ejpam-6001	247	15	stability	stability	NOUN
ejpam-6001	247	16	of	of	ADP
ejpam-6001	247	17	system	system	NOUN
ejpam-6001	247	18	(	(	PUNCT
ejpam-6001	247	19	1	1	NUM
ejpam-6001	247	20	)	)	PUNCT
ejpam-6001	247	21	at	at	ADP
ejpam-6001	247	22	dfep	dfep	NOUN
ejpam-6001	247	23	“	"	PUNCT
ejpam-6001	247	24	p	p	NOUN
ejpam-6001	247	25	”	"	PUNCT
ejpam-6001	247	26	.	.	PUNCT
ejpam-6001	248	1	to	to	PART
ejpam-6001	248	2	study	study	VERB
ejpam-6001	248	3	global	global	ADJ
ejpam-6001	248	4	stability	stability	NOUN
ejpam-6001	248	5	,	,	PUNCT
ejpam-6001	248	6	we	we	PRON
ejpam-6001	248	7	constricted	constrict	VERB
ejpam-6001	248	8	a	a	DET
ejpam-6001	248	9	function	function	NOUN
ejpam-6001	248	10	called	call	VERB
ejpam-6001	248	11	lyapunov	lyapunov	NOUN
ejpam-6001	248	12	.	.	PUNCT
ejpam-6001	249	1	we	we	PRON
ejpam-6001	249	2	need	need	VERB
ejpam-6001	249	3	to	to	PART
ejpam-6001	249	4	show	show	VERB
ejpam-6001	249	5	ḟ	ḟ	NOUN
ejpam-6001	249	6	=	=	SYM
ejpam-6001	249	7	−kf	−kf	PROPN
ejpam-6001	249	8	,	,	PUNCT
ejpam-6001	249	9	where	where	SCONJ
ejpam-6001	249	10	k	k	PROPN
ejpam-6001	249	11	is	be	AUX
ejpam-6001	249	12	a	a	DET
ejpam-6001	249	13	constant	constant	ADJ
ejpam-6001	249	14	.	.	PUNCT
ejpam-6001	250	1	m.	m.	NOUN
ejpam-6001	250	2	riaz	riaz	PROPN
ejpam-6001	250	3	et	et	PROPN
ejpam-6001	250	4	al	al	PROPN
ejpam-6001	250	5	.	.	PUNCT
ejpam-6001	250	6	/	/	SYM
ejpam-6001	250	7	eur	eur	PROPN
ejpam-6001	250	8	.	.	PUNCT
ejpam-6001	251	1	j.	j.	PROPN
ejpam-6001	251	2	pure	pure	PROPN
ejpam-6001	251	3	appl	appl	PROPN
ejpam-6001	251	4	.	.	PROPN
ejpam-6001	251	5	math	math	PROPN
ejpam-6001	251	6	,	,	PUNCT
ejpam-6001	251	7	18	18	NUM
ejpam-6001	251	8	(	(	PUNCT
ejpam-6001	251	9	2	2	NUM
ejpam-6001	251	10	)	)	PUNCT
ejpam-6001	251	11	(	(	PUNCT
ejpam-6001	251	12	2025	2025	NUM
ejpam-6001	251	13	)	)	PUNCT
ejpam-6001	251	14	,	,	PUNCT
ejpam-6001	251	15	6001	6001	NUM
ejpam-6001	251	16	12	12	NUM
ejpam-6001	251	17	of	of	ADP
ejpam-6001	251	18	27	27	NUM
ejpam-6001	251	19	theorem	theorem	NOUN
ejpam-6001	251	20	2	2	NUM
ejpam-6001	251	21	.	.	PUNCT
ejpam-6001	252	1	[	[	X
ejpam-6001	252	2	rgb]1.00,1.00,1.00“when	rgb]1.00,1.00,1.00“when	ADJ
ejpam-6001	252	3	effective	effective	ADJ
ejpam-6001	252	4	basic	basic	ADJ
ejpam-6001	252	5	reproduction	reproduction	NOUN
ejpam-6001	252	6	number	number	NOUN
ejpam-6001	252	7	r01	r01	PROPN
ejpam-6001	252	8	<	<	X
ejpam-6001	252	9	1	1	NUM
ejpam-6001	252	10	or	or	CCONJ
ejpam-6001	252	11	r02	r02	VERB
ejpam-6001	252	12	<	<	X
ejpam-6001	252	13	1	1	NUM
ejpam-6001	252	14	,	,	PUNCT
ejpam-6001	252	15	the	the	DET
ejpam-6001	252	16	dfep	dfep	NOUN
ejpam-6001	252	17	“	"	PUNCT
ejpam-6001	252	18	p	p	NOUN
ejpam-6001	252	19	”	"	PUNCT
ejpam-6001	252	20	is	be	AUX
ejpam-6001	252	21	stable	stable	ADJ
ejpam-6001	252	22	globally	globally	ADV
ejpam-6001	252	23	asymptotically	asymptotically	ADV
ejpam-6001	252	24	.	.	PUNCT
ejpam-6001	252	25	”	"	PUNCT
ejpam-6001	253	1	proof	proof	NOUN
ejpam-6001	253	2	.	.	PUNCT
ejpam-6001	254	1	consider	consider	VERB
ejpam-6001	254	2	the	the	DET
ejpam-6001	254	3	function	function	NOUN
ejpam-6001	254	4	f	f	NOUN
ejpam-6001	255	1	=	=	PUNCT
ejpam-6001	255	2	k1i1	k1i1	PROPN
ejpam-6001	255	3	+	+	CCONJ
ejpam-6001	255	4	k1i2	k1i2	X
ejpam-6001	255	5	,	,	PUNCT
ejpam-6001	255	6	(	(	PUNCT
ejpam-6001	255	7	18	18	NUM
ejpam-6001	255	8	)	)	PUNCT
ejpam-6001	255	9	where	where	SCONJ
ejpam-6001	255	10	k1	k1	NOUN
ejpam-6001	255	11	and	and	CCONJ
ejpam-6001	255	12	k2	k2	NOUN
ejpam-6001	255	13	are	be	AUX
ejpam-6001	255	14	some	some	DET
ejpam-6001	255	15	constants	constant	NOUN
ejpam-6001	255	16	.	.	PUNCT
ejpam-6001	256	1	since	since	SCONJ
ejpam-6001	256	2	i1	i1	PROPN
ejpam-6001	256	3	,	,	PUNCT
ejpam-6001	256	4	i2	i2	PROPN
ejpam-6001	256	5	>	>	X
ejpam-6001	256	6	0	0	PROPN
ejpam-6001	256	7	,	,	PUNCT
ejpam-6001	256	8	then	then	ADV
ejpam-6001	256	9	f	f	PROPN
ejpam-6001	256	10	>	>	X
ejpam-6001	256	11	0	0	PUNCT
ejpam-6001	256	12	and	and	CCONJ
ejpam-6001	256	13	f	f	PROPN
ejpam-6001	256	14	attains	attain	NOUN
ejpam-6001	256	15	zero	zero	NUM
ejpam-6001	256	16	at	at	ADP
ejpam-6001	256	17	i1	i1	PROPN
ejpam-6001	256	18	=	=	PROPN
ejpam-6001	256	19	i2	i2	PROPN
ejpam-6001	256	20	=	=	PUNCT
ejpam-6001	256	21	0	0	X
ejpam-6001	256	22	.	.	PUNCT
ejpam-6001	257	1	now	now	ADV
ejpam-6001	257	2	,	,	PUNCT
ejpam-6001	257	3	our	our	PRON
ejpam-6001	257	4	goal	goal	NOUN
ejpam-6001	257	5	is	be	AUX
ejpam-6001	257	6	ḟ	ḟ	NOUN
ejpam-6001	257	7	<	<	X
ejpam-6001	257	8	0	0	NUM
ejpam-6001	257	9	.	.	PUNCT
ejpam-6001	258	1	df	df	PROPN
ejpam-6001	258	2	dt	dt	NOUN
ejpam-6001	259	1	=	=	SYM
ejpam-6001	259	2	k1	k1	ADJ
ejpam-6001	259	3	di1	di1	NOUN
ejpam-6001	259	4	dt	dt	NOUN
ejpam-6001	259	5	+	+	CCONJ
ejpam-6001	259	6	k2	k2	PROPN
ejpam-6001	259	7	di2	di2	PROPN
ejpam-6001	259	8	dt	dt	X
ejpam-6001	259	9	.	.	PUNCT
ejpam-6001	260	1	(	(	PUNCT
ejpam-6001	260	2	19	19	NUM
ejpam-6001	260	3	)	)	PUNCT
ejpam-6001	260	4	putting	put	VERB
ejpam-6001	260	5	values	value	NOUN
ejpam-6001	260	6	of	of	ADP
ejpam-6001	260	7	i1	i1	PROPN
ejpam-6001	260	8	and	and	CCONJ
ejpam-6001	260	9	i2	i2	PROPN
ejpam-6001	260	10	from	from	ADP
ejpam-6001	260	11	(	(	PUNCT
ejpam-6001	260	12	1	1	NUM
ejpam-6001	260	13	)	)	PUNCT
ejpam-6001	260	14	in	in	ADP
ejpam-6001	260	15	(	(	PUNCT
ejpam-6001	260	16	19	19	NUM
ejpam-6001	260	17	)	)	PUNCT
ejpam-6001	260	18	,	,	PUNCT
ejpam-6001	260	19	we	we	PRON
ejpam-6001	260	20	get	get	VERB
ejpam-6001	260	21	df	df	NOUN
ejpam-6001	260	22	dt	dt	NOUN
ejpam-6001	260	23	=	=	SYM
ejpam-6001	260	24	k1	k1	PROPN
ejpam-6001	260	25	(	(	PUNCT
ejpam-6001	260	26	ϕe−	ϕe−	PROPN
ejpam-6001	260	27	(	(	PUNCT
ejpam-6001	260	28	γ1	γ1	NOUN
ejpam-6001	260	29	+	+	CCONJ
ejpam-6001	260	30	h1	h1	NOUN
ejpam-6001	260	31	+	+	CCONJ
ejpam-6001	260	32	d0	d0	NOUN
ejpam-6001	260	33	+	+	CCONJ
ejpam-6001	260	34	c1)i1	c1)i1	NOUN
ejpam-6001	260	35	)	)	PUNCT
ejpam-6001	261	1	+	+	CCONJ
ejpam-6001	261	2	k2	k2	X
ejpam-6001	261	3	(	(	PUNCT
ejpam-6001	261	4	ηe−	ηe−	PROPN
ejpam-6001	261	5	(	(	PUNCT
ejpam-6001	261	6	γ2	γ2	PROPN
ejpam-6001	261	7	+	+	CCONJ
ejpam-6001	261	8	h2	h2	NOUN
ejpam-6001	261	9	+	+	CCONJ
ejpam-6001	261	10	d0	d0	NOUN
ejpam-6001	261	11	+	+	CCONJ
ejpam-6001	261	12	c2)i2	c2)i2	PROPN
ejpam-6001	261	13	)	)	PUNCT
ejpam-6001	261	14	.	.	PUNCT
ejpam-6001	262	1	(	(	PUNCT
ejpam-6001	262	2	20	20	NUM
ejpam-6001	262	3	)	)	PUNCT
ejpam-6001	262	4	by	by	ADP
ejpam-6001	262	5	putting	put	VERB
ejpam-6001	262	6	k1	k1	NOUN
ejpam-6001	262	7	=	=	SYM
ejpam-6001	262	8	k2	k2	PROPN
ejpam-6001	262	9	=	=	PROPN
ejpam-6001	262	10	kb	kb	PROPN
ejpam-6001	262	11	d0(d0+ϕ+η	d0(d0+ϕ+η	PROPN
ejpam-6001	262	12	)	)	PUNCT
ejpam-6001	262	13	,	,	PUNCT
ejpam-6001	262	14	and	and	CCONJ
ejpam-6001	262	15	rearrange	rearrange	VERB
ejpam-6001	262	16	(	(	PUNCT
ejpam-6001	262	17	20	20	NUM
ejpam-6001	262	18	)	)	PUNCT
ejpam-6001	262	19	,	,	PUNCT
ejpam-6001	262	20	we	we	PRON
ejpam-6001	262	21	get	get	VERB
ejpam-6001	262	22	df	df	NOUN
ejpam-6001	262	23	dt	dt	NOUN
ejpam-6001	262	24	=	=	SYM
ejpam-6001	262	25	(	(	PUNCT
ejpam-6001	262	26	γ1	γ1	PROPN
ejpam-6001	262	27	+	+	CCONJ
ejpam-6001	262	28	h1	h1	NOUN
ejpam-6001	262	29	+	+	CCONJ
ejpam-6001	262	30	d0	d0	NOUN
ejpam-6001	262	31	+	+	CCONJ
ejpam-6001	262	32	c1)i1	c1)i1	PROPN
ejpam-6001	262	33	(	(	PUNCT
ejpam-6001	262	34	r01	r01	NOUN
ejpam-6001	262	35	−	−	PROPN
ejpam-6001	262	36	1	1	NUM
ejpam-6001	262	37	)	)	PUNCT
ejpam-6001	262	38	+	+	CCONJ
ejpam-6001	262	39	(	(	PUNCT
ejpam-6001	262	40	γ2	γ2	ADJ
ejpam-6001	262	41	+	+	CCONJ
ejpam-6001	262	42	h2	h2	NOUN
ejpam-6001	262	43	+	+	CCONJ
ejpam-6001	262	44	d0	d0	NOUN
ejpam-6001	262	45	+	+	CCONJ
ejpam-6001	263	1	c2)i2	c2)i2	PROPN
ejpam-6001	263	2	(	(	PUNCT
ejpam-6001	263	3	r01	r01	PROPN
ejpam-6001	263	4	−	−	PROPN
ejpam-6001	263	5	1	1	NUM
ejpam-6001	263	6	)	)	PUNCT
ejpam-6001	263	7	.	.	PUNCT
ejpam-6001	264	1	(	(	PUNCT
ejpam-6001	264	2	21	21	NUM
ejpam-6001	264	3	)	)	PUNCT
ejpam-6001	264	4	by	by	ADP
ejpam-6001	264	5	using	use	VERB
ejpam-6001	264	6	“	"	PUNCT
ejpam-6001	264	7	lasalle	lasalle	PROPN
ejpam-6001	264	8	’s	’s	PART
ejpam-6001	264	9	invariant	invariant	ADJ
ejpam-6001	264	10	principle	principle	NOUN
ejpam-6001	264	11	”	"	PUNCT
ejpam-6001	264	12	,	,	PUNCT
ejpam-6001	264	13	df	df	PROPN
ejpam-6001	264	14	dt	dt	NOUN
ejpam-6001	264	15	=	=	SYM
ejpam-6001	264	16	0	0	PROPN
ejpam-6001	264	17	iff	iff	PROPN
ejpam-6001	264	18	i1	i1	PROPN
ejpam-6001	264	19	=	=	PROPN
ejpam-6001	264	20	i2	i2	PROPN
ejpam-6001	264	21	=	=	PUNCT
ejpam-6001	264	22	0	0	X
ejpam-6001	264	23	.	.	PUNCT
ejpam-6001	265	1	furthermore	furthermore	ADV
ejpam-6001	265	2	df	df	X
ejpam-6001	265	3	dt	dt	X
ejpam-6001	265	4	<	<	X
ejpam-6001	265	5	0	0	PUNCT
ejpam-6001	265	6	whenever	whenever	SCONJ
ejpam-6001	265	7	r01	r01	PROPN
ejpam-6001	265	8	<	<	X
ejpam-6001	265	9	1	1	NUM
ejpam-6001	266	1	and	and	CCONJ
ejpam-6001	266	2	r02	r02	VERB
ejpam-6001	266	3	<	<	X
ejpam-6001	266	4	1	1	NUM
ejpam-6001	266	5	,	,	PUNCT
ejpam-6001	266	6	which	which	PRON
ejpam-6001	266	7	follow	follow	VERB
ejpam-6001	266	8	conclusion	conclusion	NOUN
ejpam-6001	266	9	.	.	PUNCT
ejpam-6001	267	1	5	5	X
ejpam-6001	267	2	.	.	X
ejpam-6001	267	3	sensitivity	sensitivity	NOUN
ejpam-6001	267	4	analysis	analysis	NOUN
ejpam-6001	267	5	we	we	PRON
ejpam-6001	267	6	present	present	VERB
ejpam-6001	267	7	the	the	DET
ejpam-6001	267	8	sensitivity	sensitivity	NOUN
ejpam-6001	267	9	analysis	analysis	NOUN
ejpam-6001	267	10	in	in	ADP
ejpam-6001	267	11	this	this	DET
ejpam-6001	267	12	section	section	NOUN
ejpam-6001	267	13	to	to	PART
ejpam-6001	267	14	take	take	VERB
ejpam-6001	267	15	into	into	ADP
ejpam-6001	267	16	consideration	consideration	NOUN
ejpam-6001	267	17	the	the	DET
ejpam-6001	267	18	variables	variable	NOUN
ejpam-6001	267	19	that	that	PRON
ejpam-6001	267	20	have	have	VERB
ejpam-6001	267	21	a	a	DET
ejpam-6001	267	22	major	major	ADJ
ejpam-6001	267	23	impact	impact	NOUN
ejpam-6001	267	24	on	on	ADP
ejpam-6001	267	25	the	the	DET
ejpam-6001	267	26	fundamental	fundamental	ADJ
ejpam-6001	267	27	reproduction	reproduction	NOUN
ejpam-6001	267	28	number	number	NOUN
ejpam-6001	267	29	.	.	PUNCT
ejpam-6001	268	1	for	for	ADP
ejpam-6001	268	2	more	more	ADV
ejpam-6001	268	3	detailed	detailed	ADJ
ejpam-6001	268	4	information	information	NOUN
ejpam-6001	268	5	about	about	ADP
ejpam-6001	268	6	sensitivity	sensitivity	NOUN
ejpam-6001	268	7	analysis	analysis	NOUN
ejpam-6001	268	8	,	,	PUNCT
ejpam-6001	268	9	see	see	VERB
ejpam-6001	268	10	[	[	X
ejpam-6001	268	11	50	50	NUM
ejpam-6001	268	12	]	]	PUNCT
ejpam-6001	268	13	.	.	PUNCT
ejpam-6001	269	1	sensitivity	sensitivity	NOUN
ejpam-6001	269	2	analysis	analysis	NOUN
ejpam-6001	269	3	is	be	AUX
ejpam-6001	269	4	recommended	recommend	VERB
ejpam-6001	269	5	in	in	ADP
ejpam-6001	269	6	order	order	NOUN
ejpam-6001	269	7	to	to	PART
ejpam-6001	269	8	determine	determine	VERB
ejpam-6001	269	9	the	the	DET
ejpam-6001	269	10	relative	relative	ADJ
ejpam-6001	269	11	significance	significance	NOUN
ejpam-6001	269	12	of	of	ADP
ejpam-6001	269	13	the	the	DET
ejpam-6001	269	14	various	various	ADJ
ejpam-6001	269	15	factors	factor	NOUN
ejpam-6001	269	16	impacting	impact	VERB
ejpam-6001	269	17	the	the	DET
ejpam-6001	269	18	prevalence	prevalence	NOUN
ejpam-6001	269	19	and	and	CCONJ
ejpam-6001	269	20	transmission	transmission	NOUN
ejpam-6001	269	21	of	of	ADP
ejpam-6001	269	22	sickness	sickness	NOUN
ejpam-6001	269	23	.	.	PUNCT
ejpam-6001	270	1	it	it	PRON
ejpam-6001	270	2	is	be	AUX
ejpam-6001	270	3	imperative	imperative	ADJ
ejpam-6001	270	4	to	to	PART
ejpam-6001	270	5	regulate	regulate	VERB
ejpam-6001	270	6	the	the	DET
ejpam-6001	270	7	variations	variation	NOUN
ejpam-6001	270	8	in	in	ADP
ejpam-6001	270	9	the	the	DET
ejpam-6001	270	10	model	model	NOUN
ejpam-6001	270	11	(	(	PUNCT
ejpam-6001	270	12	1	1	X
ejpam-6001	270	13	)	)	PUNCT
ejpam-6001	270	14	parameters	parameter	NOUN
ejpam-6001	270	15	in	in	ADP
ejpam-6001	270	16	order	order	NOUN
ejpam-6001	270	17	to	to	PART
ejpam-6001	270	18	get	get	VERB
ejpam-6001	270	19	r01	r01	NOUN
ejpam-6001	270	20	and	and	CCONJ
ejpam-6001	270	21	r02	r02	VERB
ejpam-6001	270	22	<	<	X
ejpam-6001	270	23	1	1	NUM
ejpam-6001	270	24	,	,	PUNCT
ejpam-6001	270	25	as	as	ADV
ejpam-6001	270	26	well	well	ADV
ejpam-6001	270	27	as	as	ADP
ejpam-6001	270	28	to	to	PART
ejpam-6001	270	29	stop	stop	VERB
ejpam-6001	270	30	the	the	DET
ejpam-6001	270	31	spread	spread	NOUN
ejpam-6001	270	32	of	of	ADP
ejpam-6001	270	33	diseases	disease	NOUN
ejpam-6001	270	34	.	.	PUNCT
ejpam-6001	271	1	the	the	DET
ejpam-6001	271	2	ratio	ratio	NOUN
ejpam-6001	271	3	of	of	ADP
ejpam-6001	271	4	a	a	DET
ejpam-6001	271	5	variable	variable	NOUN
ejpam-6001	271	6	’s	’s	PART
ejpam-6001	271	7	change	change	NOUN
ejpam-6001	271	8	to	to	ADP
ejpam-6001	271	9	a	a	DET
ejpam-6001	271	10	parameter	parameter	NOUN
ejpam-6001	271	11	’s	’s	PART
ejpam-6001	271	12	change	change	NOUN
ejpam-6001	271	13	is	be	AUX
ejpam-6001	271	14	known	know	VERB
ejpam-6001	271	15	as	as	ADP
ejpam-6001	271	16	the	the	DET
ejpam-6001	271	17	sensitivity	sensitivity	NOUN
ejpam-6001	271	18	index	index	NOUN
ejpam-6001	271	19	,	,	PUNCT
ejpam-6001	271	20	and	and	CCONJ
ejpam-6001	271	21	it	it	PRON
ejpam-6001	271	22	may	may	AUX
ejpam-6001	271	23	be	be	AUX
ejpam-6001	271	24	calculated	calculate	VERB
ejpam-6001	271	25	using	use	VERB
ejpam-6001	271	26	the	the	DET
ejpam-6001	271	27	formula	formula	NOUN
ejpam-6001	271	28	.	.	PUNCT
ejpam-6001	272	1	the	the	DET
ejpam-6001	272	2	model	model	NOUN
ejpam-6001	272	3	’s	’s	PART
ejpam-6001	272	4	parameters	parameter	NOUN
ejpam-6001	272	5	’	’	PART
ejpam-6001	272	6	sensitivity	sensitivity	NOUN
ejpam-6001	272	7	indices	index	NOUN
ejpam-6001	272	8	for	for	ADP
ejpam-6001	272	9	r01	r01	PROPN
ejpam-6001	272	10	<	<	X
ejpam-6001	272	11	1	1	NUM
ejpam-6001	272	12	and	and	CCONJ
ejpam-6001	272	13	r02	r02	VERB
ejpam-6001	272	14	<	<	X
ejpam-6001	272	15	1	1	NUM
ejpam-6001	272	16	are	be	AUX
ejpam-6001	272	17	given	give	VERB
ejpam-6001	272	18	in	in	ADP
ejpam-6001	272	19	table	table	NOUN
ejpam-6001	272	20	1	1	NUM
ejpam-6001	272	21	using	use	VERB
ejpam-6001	272	22	normalized	normalize	VERB
ejpam-6001	272	23	sensitivity	sensitivity	NOUN
ejpam-6001	272	24	index	index	NOUN
ejpam-6001	272	25	defined	define	VERB
ejpam-6001	272	26	by	by	ADP
ejpam-6001	272	27	f	f	PROPN
ejpam-6001	272	28	[	[	X
ejpam-6001	272	29	y	y	X
ejpam-6001	272	30	]	]	X
ejpam-6001	272	31	=	=	PUNCT
ejpam-6001	272	32	y	y	PROPN
ejpam-6001	272	33	r0	r0	NOUN
ejpam-6001	272	34	∂r0	∂r0	ADP
ejpam-6001	272	35	∂y	∂y	PROPN
ejpam-6001	272	36	.	.	PUNCT
ejpam-6001	273	1	m.	m.	PROPN
ejpam-6001	273	2	riaz	riaz	PROPN
ejpam-6001	273	3	et	et	PROPN
ejpam-6001	273	4	al	al	PROPN
ejpam-6001	273	5	.	.	PUNCT
ejpam-6001	273	6	/	/	SYM
ejpam-6001	273	7	eur	eur	PROPN
ejpam-6001	273	8	.	.	PUNCT
ejpam-6001	274	1	j.	j.	PROPN
ejpam-6001	274	2	pure	pure	PROPN
ejpam-6001	274	3	appl	appl	PROPN
ejpam-6001	274	4	.	.	PROPN
ejpam-6001	274	5	math	math	PROPN
ejpam-6001	274	6	,	,	PUNCT
ejpam-6001	274	7	18	18	NUM
ejpam-6001	274	8	(	(	PUNCT
ejpam-6001	274	9	2	2	NUM
ejpam-6001	274	10	)	)	PUNCT
ejpam-6001	274	11	(	(	PUNCT
ejpam-6001	274	12	2025	2025	NUM
ejpam-6001	274	13	)	)	PUNCT
ejpam-6001	274	14	,	,	PUNCT
ejpam-6001	274	15	6001	6001	NUM
ejpam-6001	274	16	13	13	NUM
ejpam-6001	274	17	of	of	ADP
ejpam-6001	274	18	27	27	NUM
ejpam-6001	274	19	parameters	parameter	NOUN
ejpam-6001	274	20	sensitivity	sensitivity	NOUN
ejpam-6001	274	21	index	index	NOUN
ejpam-6001	274	22	parameters	parameter	NOUN
ejpam-6001	274	23	sensitivity	sensitivity	NOUN
ejpam-6001	274	24	index	index	NOUN
ejpam-6001	274	25	f(b	f(b	PROPN
ejpam-6001	274	26	)	)	PUNCT
ejpam-6001	274	27	1	1	NUM
ejpam-6001	274	28	f(γ1	f(γ1	NOUN
ejpam-6001	274	29	)	)	PUNCT
ejpam-6001	274	30	0.8737	0.8737	NUM
ejpam-6001	274	31	f(k	f(k	ADJ
ejpam-6001	274	32	)	)	PUNCT
ejpam-6001	274	33	1	1	NUM
ejpam-6001	274	34	f(γ2	f(γ2	NOUN
ejpam-6001	274	35	)	)	PUNCT
ejpam-6001	274	36	0.6978	0.6978	NUM
ejpam-6001	274	37	f(h1	f(h1	NOUN
ejpam-6001	274	38	)	)	PUNCT
ejpam-6001	274	39	−0.00124	−0.00124	NOUN
ejpam-6001	274	40	f(c1	f(c1	NOUN
ejpam-6001	274	41	)	)	PUNCT
ejpam-6001	274	42	−0.00103	−0.00103	X
ejpam-6001	274	43	f(h2	f(h2	NOUN
ejpam-6001	274	44	)	)	PUNCT
ejpam-6001	274	45	−0.00124	−0.00124	PROPN
ejpam-6001	274	46	f(c2	f(c2	PROPN
ejpam-6001	274	47	)	)	PUNCT
ejpam-6001	274	48	−0.0015	−0.0015	PROPN
ejpam-6001	274	49	f(d0	f(d0	PROPN
ejpam-6001	274	50	)	)	PUNCT
ejpam-6001	274	51	0.9674	0.9674	NUM
ejpam-6001	274	52	f(η	f(η	NOUN
ejpam-6001	274	53	)	)	PUNCT
ejpam-6001	274	54	−0.1044	−0.1044	PROPN
ejpam-6001	274	55	f(ϕ	f(ϕ	PROPN
ejpam-6001	274	56	)	)	PUNCT
ejpam-6001	275	1	−0.9895	−0.9895	PROPN
ejpam-6001	275	2	table	table	NOUN
ejpam-6001	275	3	1	1	NUM
ejpam-6001	275	4	:	:	PUNCT
ejpam-6001	275	5	sensitivity	sensitivity	NOUN
ejpam-6001	275	6	indices	index	NOUN
ejpam-6001	275	7	of	of	ADP
ejpam-6001	275	8	r0	r0	NOUN
ejpam-6001	275	9	with	with	ADP
ejpam-6001	275	10	respect	respect	NOUN
ejpam-6001	275	11	to	to	ADP
ejpam-6001	275	12	model	model	NOUN
ejpam-6001	275	13	parameters	parameter	NOUN
ejpam-6001	275	14	.	.	PUNCT
ejpam-6001	276	1	-1.5	-1.5	NOUN
ejpam-6001	276	2	-1	-1	PUNCT
ejpam-6001	277	1	-0.5	-0.5	X
ejpam-6001	277	2	0	0	NUM
ejpam-6001	277	3	0.5	0.5	NUM
ejpam-6001	277	4	1	1	NUM
ejpam-6001	277	5	1.5	1.5	NUM
ejpam-6001	277	6	p	p	NOUN
ejpam-6001	277	7	a	a	DET
ejpam-6001	277	8	ra	ra	NOUN
ejpam-6001	277	9	m	m	VERB
ejpam-6001	277	10	te	te	INTJ
ejpam-6001	277	11	rs	rs	NOUN
ejpam-6001	277	12	v	v	ADP
ejpam-6001	277	13	a	a	DET
ejpam-6001	277	14	lu	lu	NOUN
ejpam-6001	277	15	e	e	NOUN
ejpam-6001	277	16	s	s	NOUN
ejpam-6001	277	17	axis	axis	ADJ
ejpam-6001	277	18	title	title	NOUN
ejpam-6001	277	19	figure	figure	NOUN
ejpam-6001	277	20	2	2	NUM
ejpam-6001	277	21	:	:	PUNCT
ejpam-6001	277	22	sensitivity	sensitivity	NOUN
ejpam-6001	277	23	indices	index	NOUN
ejpam-6001	277	24	of	of	ADP
ejpam-6001	277	25	r0	r0	NOUN
ejpam-6001	277	26	with	with	ADP
ejpam-6001	277	27	respect	respect	NOUN
ejpam-6001	277	28	to	to	ADP
ejpam-6001	277	29	model	model	NOUN
ejpam-6001	277	30	(	(	PUNCT
ejpam-6001	277	31	1	1	NUM
ejpam-6001	277	32	)	)	PUNCT
ejpam-6001	277	33	parameters	parameter	NOUN
ejpam-6001	277	34	.	.	PUNCT
ejpam-6001	278	1	(	(	PUNCT
ejpam-6001	278	2	1	1	X
ejpam-6001	278	3	)	)	PUNCT
ejpam-6001	278	4	and	and	CCONJ
ejpam-6001	278	5	(	(	PUNCT
ejpam-6001	278	6	2	2	X
ejpam-6001	278	7	)	)	PUNCT
ejpam-6001	278	8	make	make	VERB
ejpam-6001	278	9	it	it	PRON
ejpam-6001	278	10	evident	evident	ADJ
ejpam-6001	278	11	that	that	SCONJ
ejpam-6001	278	12	the	the	DET
ejpam-6001	278	13	disease	disease	NOUN
ejpam-6001	278	14	transmission	transmission	NOUN
ejpam-6001	278	15	rate	rate	NOUN
ejpam-6001	278	16	of	of	ADP
ejpam-6001	278	17	strain	strain	NOUN
ejpam-6001	278	18	2	2	NUM
ejpam-6001	278	19	η	η	NOUN
ejpam-6001	278	20	,	,	PUNCT
ejpam-6001	278	21	contact	contact	NOUN
ejpam-6001	278	22	rate	rate	NOUN
ejpam-6001	278	23	k	k	PROPN
ejpam-6001	278	24	,	,	PUNCT
ejpam-6001	278	25	death	death	NOUN
ejpam-6001	278	26	rate	rate	NOUN
ejpam-6001	278	27	d0	d0	NOUN
ejpam-6001	278	28	,	,	PUNCT
ejpam-6001	278	29	infection	infection	NOUN
ejpam-6001	278	30	rate	rate	NOUN
ejpam-6001	278	31	of	of	ADP
ejpam-6001	278	32	strain	strain	NOUN
ejpam-6001	278	33	1	1	NUM
ejpam-6001	278	34	ϕ	ϕ	NOUN
ejpam-6001	278	35	and	and	CCONJ
ejpam-6001	278	36	rate	rate	NOUN
ejpam-6001	278	37	of	of	ADP
ejpam-6001	278	38	recovery	recovery	NOUN
ejpam-6001	278	39	individuals	individual	NOUN
ejpam-6001	278	40	γ1	γ1	NOUN
ejpam-6001	278	41	and	and	CCONJ
ejpam-6001	278	42	γ2	γ2	PROPN
ejpam-6001	278	43	are	be	AUX
ejpam-6001	278	44	the	the	DET
ejpam-6001	278	45	parameters	parameter	NOUN
ejpam-6001	278	46	of	of	ADP
ejpam-6001	278	47	the	the	DET
ejpam-6001	278	48	model	model	NOUN
ejpam-6001	278	49	(	(	PUNCT
ejpam-6001	278	50	1	1	NUM
ejpam-6001	278	51	)	)	PUNCT
ejpam-6001	278	52	that	that	PRON
ejpam-6001	278	53	are	be	AUX
ejpam-6001	278	54	most	most	ADV
ejpam-6001	278	55	sensitive	sensitive	ADJ
ejpam-6001	278	56	to	to	ADP
ejpam-6001	278	57	r01	r01	PROPN
ejpam-6001	278	58	and	and	CCONJ
ejpam-6001	278	59	r02	r02	PROPN
ejpam-6001	278	60	.	.	PUNCT
ejpam-6001	279	1	as	as	ADP
ejpam-6001	279	2	the	the	DET
ejpam-6001	279	3	value	value	NOUN
ejpam-6001	279	4	of	of	ADP
ejpam-6001	279	5	infection	infection	NOUN
ejpam-6001	279	6	rate	rate	NOUN
ejpam-6001	279	7	of	of	ADP
ejpam-6001	279	8	strain	strain	NOUN
ejpam-6001	279	9	1	1	NUM
ejpam-6001	279	10	ϕ	ϕ	NOUN
ejpam-6001	279	11	decrease	decrease	NOUN
ejpam-6001	279	12	,	,	PUNCT
ejpam-6001	279	13	so	so	ADV
ejpam-6001	279	14	does	do	VERB
ejpam-6001	279	15	the	the	DET
ejpam-6001	279	16	value	value	NOUN
ejpam-6001	279	17	of	of	ADP
ejpam-6001	279	18	r01	r01	PROPN
ejpam-6001	279	19	.	.	PUNCT
ejpam-6001	280	1	when	when	SCONJ
ejpam-6001	280	2	infectious	infectious	ADJ
ejpam-6001	280	3	rate	rate	NOUN
ejpam-6001	280	4	k	k	PROPN
ejpam-6001	280	5	,	,	PUNCT
ejpam-6001	280	6	death	death	NOUN
ejpam-6001	280	7	rate	rate	NOUN
ejpam-6001	280	8	d0	d0	NOUN
ejpam-6001	280	9	decrease	decrease	NOUN
ejpam-6001	280	10	.	.	PUNCT
ejpam-6001	281	1	as	as	ADP
ejpam-6001	281	2	a	a	DET
ejpam-6001	281	3	result	result	NOUN
ejpam-6001	281	4	,	,	PUNCT
ejpam-6001	281	5	r01	r01	PROPN
ejpam-6001	281	6	and	and	CCONJ
ejpam-6001	281	7	r02	r02	PROPN
ejpam-6001	281	8	rises	rise	VERB
ejpam-6001	281	9	infection	infection	NOUN
ejpam-6001	281	10	rate	rate	NOUN
ejpam-6001	281	11	of	of	ADP
ejpam-6001	281	12	strain	strain	NOUN
ejpam-6001	281	13	1	1	NUM
ejpam-6001	281	14	ϕ	ϕ	NOUN
ejpam-6001	281	15	and	and	CCONJ
ejpam-6001	281	16	infection	infection	NOUN
ejpam-6001	281	17	rate	rate	NOUN
ejpam-6001	281	18	strains	strain	VERB
ejpam-6001	281	19	2	2	NUM
ejpam-6001	281	20	η	η	NOUN
ejpam-6001	281	21	decline	decline	NOUN
ejpam-6001	281	22	.	.	PUNCT
ejpam-6001	282	1	clearly	clearly	ADV
ejpam-6001	282	2	,	,	PUNCT
ejpam-6001	282	3	fig	fig	NOUN
ejpam-6001	282	4	.	.	PUNCT
ejpam-6001	282	5	1	1	NUM
ejpam-6001	282	6	shows	show	VERB
ejpam-6001	282	7	that	that	SCONJ
ejpam-6001	282	8	contact	contact	NOUN
ejpam-6001	282	9	rate	rate	NOUN
ejpam-6001	282	10	k	k	PROPN
ejpam-6001	282	11	,	,	PUNCT
ejpam-6001	282	12	death	death	NOUN
ejpam-6001	282	13	rate	rate	NOUN
ejpam-6001	282	14	d0	d0	NOUN
ejpam-6001	282	15	,	,	PUNCT
ejpam-6001	282	16	birth	birth	NOUN
ejpam-6001	282	17	b	b	NOUN
ejpam-6001	282	18	rate	rate	NOUN
ejpam-6001	282	19	,	,	PUNCT
ejpam-6001	282	20	and	and	CCONJ
ejpam-6001	282	21	rate	rate	NOUN
ejpam-6001	282	22	of	of	ADP
ejpam-6001	282	23	recovery	recovery	NOUN
ejpam-6001	282	24	of	of	ADP
ejpam-6001	282	25	individuals	individual	NOUN
ejpam-6001	282	26	γ1	γ1	NOUN
ejpam-6001	282	27	and	and	CCONJ
ejpam-6001	282	28	γ2	γ2	PROPN
ejpam-6001	282	29	are	be	AUX
ejpam-6001	282	30	positive	positive	ADJ
ejpam-6001	282	31	,	,	PUNCT
ejpam-6001	282	32	so	so	SCONJ
ejpam-6001	282	33	an	an	DET
ejpam-6001	282	34	increase	increase	NOUN
ejpam-6001	282	35	in	in	ADP
ejpam-6001	282	36	their	their	PRON
ejpam-6001	282	37	values	value	NOUN
ejpam-6001	282	38	increased	increase	VERB
ejpam-6001	282	39	r01	r01	NOUN
ejpam-6001	282	40	and	and	CCONJ
ejpam-6001	282	41	r02	r02	PROPN
ejpam-6001	282	42	.	.	PUNCT
ejpam-6001	283	1	on	on	ADP
ejpam-6001	283	2	the	the	DET
ejpam-6001	283	3	other	other	ADJ
ejpam-6001	283	4	hand	hand	NOUN
ejpam-6001	283	5	,	,	PUNCT
ejpam-6001	283	6	the	the	DET
ejpam-6001	283	7	values	value	NOUN
ejpam-6001	283	8	of	of	ADP
ejpam-6001	283	9	infection	infection	NOUN
ejpam-6001	283	10	rate	rate	NOUN
ejpam-6001	283	11	of	of	ADP
ejpam-6001	283	12	strain	strain	NOUN
ejpam-6001	283	13	1	1	NUM
ejpam-6001	283	14	ϕ	ϕ	NOUN
ejpam-6001	283	15	,	,	PUNCT
ejpam-6001	283	16	infection	infection	NOUN
ejpam-6001	283	17	rate	rate	NOUN
ejpam-6001	283	18	of	of	ADP
ejpam-6001	283	19	strain	strain	NOUN
ejpam-6001	283	20	2	2	NUM
ejpam-6001	283	21	η	η	NOUN
ejpam-6001	283	22	,	,	PUNCT
ejpam-6001	283	23	strain	strain	VERB
ejpam-6001	283	24	1	1	NUM
ejpam-6001	283	25	hospitalization	hospitalization	NOUN
ejpam-6001	283	26	rate	rate	NOUN
ejpam-6001	283	27	h1	h1	PROPN
ejpam-6001	283	28	,	,	PUNCT
ejpam-6001	283	29	strain	strain	VERB
ejpam-6001	283	30	2	2	NUM
ejpam-6001	283	31	hospitalization	hospitalization	NOUN
ejpam-6001	283	32	rate	rate	NOUN
ejpam-6001	283	33	h2	h2	NOUN
ejpam-6001	283	34	,	,	PUNCT
ejpam-6001	283	35	death	death	NOUN
ejpam-6001	283	36	rate	rate	NOUN
ejpam-6001	283	37	of	of	ADP
ejpam-6001	283	38	strain	strain	NOUN
ejpam-6001	283	39	1	1	NUM
ejpam-6001	283	40	c1	c1	NOUN
ejpam-6001	283	41	,	,	PUNCT
ejpam-6001	283	42	and	and	CCONJ
ejpam-6001	283	43	death	death	NOUN
ejpam-6001	283	44	rate	rate	NOUN
ejpam-6001	283	45	of	of	ADP
ejpam-6001	283	46	strain	strain	NOUN
ejpam-6001	283	47	1	1	NUM
ejpam-6001	283	48	c2	c2	PROPN
ejpam-6001	283	49	are	be	AUX
ejpam-6001	283	50	negative	negative	ADJ
ejpam-6001	283	51	,	,	PUNCT
ejpam-6001	283	52	so	so	ADV
ejpam-6001	283	53	their	their	PRON
ejpam-6001	283	54	increased	increase	VERB
ejpam-6001	283	55	show	show	NOUN
ejpam-6001	283	56	decreased	decrease	VERB
ejpam-6001	283	57	in	in	ADP
ejpam-6001	283	58	r01	r01	PROPN
ejpam-6001	283	59	and	and	CCONJ
ejpam-6001	283	60	r02	r02	PROPN
ejpam-6001	283	61	.	.	PUNCT
ejpam-6001	284	1	it	it	PRON
ejpam-6001	284	2	is	be	AUX
ejpam-6001	284	3	clear	clear	ADJ
ejpam-6001	284	4	that	that	SCONJ
ejpam-6001	284	5	a	a	DET
ejpam-6001	284	6	lower	low	ADJ
ejpam-6001	284	7	value	value	NOUN
ejpam-6001	284	8	of	of	ADP
ejpam-6001	284	9	r01	r01	PROPN
ejpam-6001	284	10	and	and	CCONJ
ejpam-6001	284	11	r02	r02	PROPN
ejpam-6001	284	12	is	be	AUX
ejpam-6001	284	13	a	a	DET
ejpam-6001	284	14	contributing	contribute	VERB
ejpam-6001	284	15	factor	factor	NOUN
ejpam-6001	284	16	to	to	ADP
ejpam-6001	284	17	the	the	DET
ejpam-6001	284	18	decline	decline	NOUN
ejpam-6001	284	19	in	in	ADP
ejpam-6001	284	20	infection	infection	NOUN
ejpam-6001	284	21	incidence	incidence	NOUN
ejpam-6001	284	22	.	.	PUNCT
ejpam-6001	285	1	we	we	PRON
ejpam-6001	285	2	need	need	VERB
ejpam-6001	285	3	to	to	PART
ejpam-6001	285	4	preserve	preserve	VERB
ejpam-6001	285	5	parameters	parameter	NOUN
ejpam-6001	285	6	with	with	ADP
ejpam-6001	285	7	negative	negative	ADJ
ejpam-6001	285	8	indices	index	NOUN
ejpam-6001	285	9	while	while	SCONJ
ejpam-6001	285	10	lowering	lower	VERB
ejpam-6001	285	11	the	the	DET
ejpam-6001	285	12	effectiveness	effectiveness	NOUN
ejpam-6001	285	13	of	of	ADP
ejpam-6001	285	14	parameters	parameter	NOUN
ejpam-6001	285	15	with	with	ADP
ejpam-6001	285	16	positive	positive	ADJ
ejpam-6001	285	17	indices	index	NOUN
ejpam-6001	285	18	to	to	ADP
ejpam-6001	285	19	a	a	DET
ejpam-6001	285	20	basic	basic	ADJ
ejpam-6001	285	21	reproduction	reproduction	NOUN
ejpam-6001	285	22	number	number	NOUN
ejpam-6001	285	23	in	in	ADP
ejpam-6001	285	24	order	order	NOUN
ejpam-6001	285	25	to	to	PART
ejpam-6001	285	26	completely	completely	ADV
ejpam-6001	285	27	remove	remove	VERB
ejpam-6001	285	28	the	the	DET
ejpam-6001	285	29	infection	infection	NOUN
ejpam-6001	285	30	from	from	ADP
ejpam-6001	285	31	the	the	DET
ejpam-6001	285	32	system	system	NOUN
ejpam-6001	285	33	.	.	PUNCT
ejpam-6001	286	1	therefore	therefore	ADV
ejpam-6001	286	2	,	,	PUNCT
ejpam-6001	286	3	health	health	NOUN
ejpam-6001	286	4	officials	official	NOUN
ejpam-6001	286	5	need	need	VERB
ejpam-6001	286	6	to	to	PART
ejpam-6001	286	7	carefully	carefully	ADV
ejpam-6001	286	8	consider	consider	VERB
ejpam-6001	286	9	any	any	DET
ejpam-6001	286	10	preventative	preventative	ADJ
ejpam-6001	286	11	steps	step	NOUN
ejpam-6001	286	12	that	that	PRON
ejpam-6001	286	13	would	would	AUX
ejpam-6001	286	14	lower	lower	VERB
ejpam-6001	286	15	the	the	DET
ejpam-6001	286	16	infection	infection	NOUN
ejpam-6001	286	17	burden	burden	NOUN
ejpam-6001	286	18	in	in	ADP
ejpam-6001	286	19	order	order	NOUN
ejpam-6001	286	20	to	to	PART
ejpam-6001	286	21	reduce	reduce	VERB
ejpam-6001	286	22	future	future	ADJ
ejpam-6001	286	23	outbreaks	outbreak	NOUN
ejpam-6001	286	24	.	.	PUNCT
ejpam-6001	287	1	we	we	PRON
ejpam-6001	287	2	found	find	VERB
ejpam-6001	287	3	that	that	SCONJ
ejpam-6001	287	4	the	the	DET
ejpam-6001	287	5	control	control	NOUN
ejpam-6001	287	6	parameters	parameter	NOUN
ejpam-6001	287	7	,	,	PUNCT
ejpam-6001	287	8	such	such	ADJ
ejpam-6001	287	9	as	as	ADP
ejpam-6001	287	10	rate	rate	NOUN
ejpam-6001	287	11	of	of	ADP
ejpam-6001	287	12	recovery	recovery	NOUN
ejpam-6001	287	13	individuals	individual	NOUN
ejpam-6001	287	14	γ1	γ1	NOUN
ejpam-6001	287	15	and	and	CCONJ
ejpam-6001	287	16	γ2	γ2	PROPN
ejpam-6001	287	17	,	,	PUNCT
ejpam-6001	287	18	etc	etc	X
ejpam-6001	287	19	.	.	X
ejpam-6001	287	20	,	,	PUNCT
ejpam-6001	287	21	which	which	PRON
ejpam-6001	287	22	are	be	AUX
ejpam-6001	287	23	adversely	adversely	ADV
ejpam-6001	287	24	linked	link	VERB
ejpam-6001	287	25	with	with	ADP
ejpam-6001	287	26	r01	r01	PROPN
ejpam-6001	287	27	and	and	CCONJ
ejpam-6001	287	28	r02	r02	PROPN
ejpam-6001	287	29	,	,	PUNCT
ejpam-6001	287	30	should	should	AUX
ejpam-6001	287	31	be	be	AUX
ejpam-6001	287	32	implemented	implement	VERB
ejpam-6001	287	33	with	with	ADP
ejpam-6001	287	34	adequate	adequate	ADJ
ejpam-6001	287	35	hygiene	hygiene	NOUN
ejpam-6001	287	36	and	and	CCONJ
ejpam-6001	287	37	efficient	efficient	ADJ
ejpam-6001	287	38	health	health	NOUN
ejpam-6001	287	39	care	care	NOUN
ejpam-6001	287	40	services	service	NOUN
ejpam-6001	287	41	.	.	PUNCT
ejpam-6001	288	1	m.	m.	NOUN
ejpam-6001	288	2	riaz	riaz	PROPN
ejpam-6001	288	3	et	et	PROPN
ejpam-6001	288	4	al	al	PROPN
ejpam-6001	288	5	.	.	PUNCT
ejpam-6001	288	6	/	/	SYM
ejpam-6001	288	7	eur	eur	PROPN
ejpam-6001	288	8	.	.	PUNCT
ejpam-6001	289	1	j.	j.	PROPN
ejpam-6001	289	2	pure	pure	PROPN
ejpam-6001	289	3	appl	appl	PROPN
ejpam-6001	289	4	.	.	PROPN
ejpam-6001	289	5	math	math	PROPN
ejpam-6001	289	6	,	,	PUNCT
ejpam-6001	289	7	18	18	NUM
ejpam-6001	289	8	(	(	PUNCT
ejpam-6001	289	9	2	2	NUM
ejpam-6001	289	10	)	)	PUNCT
ejpam-6001	289	11	(	(	PUNCT
ejpam-6001	289	12	2025	2025	NUM
ejpam-6001	289	13	)	)	PUNCT
ejpam-6001	289	14	,	,	PUNCT
ejpam-6001	289	15	6001	6001	NUM
ejpam-6001	289	16	14	14	NUM
ejpam-6001	289	17	of	of	ADP
ejpam-6001	289	18	27	27	NUM
ejpam-6001	289	19	6	6	NUM
ejpam-6001	289	20	.	.	PUNCT
ejpam-6001	289	21	numerical	numerical	ADJ
ejpam-6001	289	22	results	result	NOUN
ejpam-6001	289	23	and	and	CCONJ
ejpam-6001	289	24	discussion	discussion	NOUN
ejpam-6001	289	25	here	here	ADV
ejpam-6001	290	1	,	,	PUNCT
ejpam-6001	290	2	we	we	PRON
ejpam-6001	290	3	present	present	VERB
ejpam-6001	290	4	simulations	simulation	NOUN
ejpam-6001	290	5	of	of	ADP
ejpam-6001	290	6	model	model	NOUN
ejpam-6001	290	7	(	(	PUNCT
ejpam-6001	290	8	1	1	NUM
ejpam-6001	290	9	)	)	PUNCT
ejpam-6001	290	10	to	to	PART
ejpam-6001	290	11	confirm	confirm	VERB
ejpam-6001	290	12	the	the	DET
ejpam-6001	290	13	analytical	analytical	ADJ
ejpam-6001	290	14	analysis	analysis	NOUN
ejpam-6001	290	15	.	.	PUNCT
ejpam-6001	291	1	we	we	PRON
ejpam-6001	291	2	used	use	VERB
ejpam-6001	291	3	nsfd	nsfd	VERB
ejpam-6001	292	1	[	[	X
ejpam-6001	292	2	51	51	NUM
ejpam-6001	292	3	,	,	PUNCT
ejpam-6001	292	4	52	52	NUM
ejpam-6001	292	5	]	]	PUNCT
ejpam-6001	292	6	for	for	ADP
ejpam-6001	292	7	simulation	simulation	NOUN
ejpam-6001	292	8	.	.	PUNCT
ejpam-6001	293	1	the	the	DET
ejpam-6001	293	2	first	first	ADJ
ejpam-6001	293	3	equation	equation	NOUN
ejpam-6001	293	4	of	of	ADP
ejpam-6001	293	5	model	model	NOUN
ejpam-6001	293	6	(	(	PUNCT
ejpam-6001	293	7	1	1	X
ejpam-6001	293	8	)	)	PUNCT
ejpam-6001	293	9	is	be	AUX
ejpam-6001	293	10	rewrite	rewrite	VERB
ejpam-6001	293	11	in	in	ADP
ejpam-6001	293	12	difference	difference	NOUN
ejpam-6001	293	13	as	as	ADP
ejpam-6001	293	14	ds	ds	X
ejpam-6001	293	15	dt	dt	NOUN
ejpam-6001	293	16	=	=	SYM
ejpam-6001	293	17	b−ksi(βi	b−ksi(βi	NOUN
ejpam-6001	293	18	+	+	PROPN
ejpam-6001	294	1	1)−	1)−	NUM
ejpam-6001	294	2	d0s	d0	NOUN
ejpam-6001	294	3	+	+	X
ejpam-6001	294	4	rr	rr	NOUN
ejpam-6001	294	5	.	.	PUNCT
ejpam-6001	295	1	(	(	PUNCT
ejpam-6001	295	2	22	22	NUM
ejpam-6001	295	3	)	)	PUNCT
ejpam-6001	295	4	by	by	ADP
ejpam-6001	295	5	using	use	VERB
ejpam-6001	295	6	the	the	DET
ejpam-6001	295	7	none	none	NOUN
ejpam-6001	295	8	-	-	PUNCT
ejpam-6001	295	9	standard	standard	ADJ
ejpam-6001	295	10	finite	finite	ADJ
ejpam-6001	295	11	difference	difference	NOUN
ejpam-6001	295	12	method	method	NOUN
ejpam-6001	295	13	,	,	PUNCT
ejpam-6001	295	14	we	we	PRON
ejpam-6001	295	15	decomposed	decompose	VERB
ejpam-6001	295	16	as	as	ADP
ejpam-6001	295	17	sj+1	sj+1	PRON
ejpam-6001	295	18	−	−	NUM
ejpam-6001	296	1	sj	sj	INTJ
ejpam-6001	296	2	h	h	NOUN
ejpam-6001	296	3	=	=	PUNCT
ejpam-6001	296	4	b−ksjij(βij	b−ksjij(βij	PROPN
ejpam-6001	296	5	+	+	PROPN
ejpam-6001	297	1	1)−	1)−	PROPN
ejpam-6001	297	2	d0sj	d0sj	NUM
ejpam-6001	298	1	+	+	CCONJ
ejpam-6001	298	2	rrj	rrj	ADV
ejpam-6001	298	3	.	.	PUNCT
ejpam-6001	299	1	(	(	PUNCT
ejpam-6001	299	2	23	23	NUM
ejpam-6001	299	3	)	)	PUNCT
ejpam-6001	299	4	like	like	ADP
ejpam-6001	299	5	(	(	PUNCT
ejpam-6001	299	6	23	23	NUM
ejpam-6001	299	7	)	)	PUNCT
ejpam-6001	299	8	,	,	PUNCT
ejpam-6001	299	9	we	we	PRON
ejpam-6001	299	10	decomposed	decompose	VERB
ejpam-6001	299	11	other	other	ADJ
ejpam-6001	299	12	equations	equation	NOUN
ejpam-6001	299	13	of	of	ADP
ejpam-6001	299	14	model	model	NOUN
ejpam-6001	299	15	(	(	PUNCT
ejpam-6001	299	16	1	1	NUM
ejpam-6001	299	17	)	)	PUNCT
ejpam-6001	299	18	by	by	ADP
ejpam-6001	299	19	using	use	VERB
ejpam-6001	299	20	none	none	NOUN
ejpam-6001	299	21	-	-	PUNCT
ejpam-6001	299	22	standard	standard	ADJ
ejpam-6001	299	23	finite	finite	ADJ
ejpam-6001	299	24	difference	difference	NOUN
ejpam-6001	299	25	method	method	NOUN
ejpam-6001	299	26	ej+1	ej+1	NOUN
ejpam-6001	299	27	=	=	PUNCT
ejpam-6001	299	28	ej	ej	PROPN
ejpam-6001	300	1	+	+	NUM
ejpam-6001	300	2	h	h	PROPN
ejpam-6001	300	3	(	(	PUNCT
ejpam-6001	300	4	ksjij(βij	ksjij(βij	PROPN
ejpam-6001	300	5	+	+	PROPN
ejpam-6001	300	6	1)−	1)−	PROPN
ejpam-6001	300	7	(	(	PUNCT
ejpam-6001	300	8	d0	d0	NOUN
ejpam-6001	300	9	+	+	CCONJ
ejpam-6001	300	10	η	η	PROPN
ejpam-6001	300	11	+	+	PROPN
ejpam-6001	300	12	ϕ)ej	ϕ)ej	PROPN
ejpam-6001	300	13	)	)	PUNCT
ejpam-6001	300	14	,	,	PUNCT
ejpam-6001	300	15	i1(j+1	i1(j+1	PROPN
ejpam-6001	300	16	)	)	PUNCT
ejpam-6001	300	17	=	=	SYM
ejpam-6001	300	18	i1(j	i1(j	NOUN
ejpam-6001	300	19	)	)	PUNCT
ejpam-6001	300	20	+	+	NUM
ejpam-6001	300	21	h	h	NOUN
ejpam-6001	300	22	(	(	PUNCT
ejpam-6001	300	23	ϕej	ϕej	INTJ
ejpam-6001	300	24	−	−	X
ejpam-6001	300	25	(	(	PUNCT
ejpam-6001	300	26	γ1	γ1	PROPN
ejpam-6001	300	27	+	+	CCONJ
ejpam-6001	300	28	h1	h1	NOUN
ejpam-6001	300	29	+	+	CCONJ
ejpam-6001	300	30	d0	d0	NOUN
ejpam-6001	300	31	+	+	CCONJ
ejpam-6001	300	32	c1)i1j	c1)i1j	X
ejpam-6001	300	33	)	)	PUNCT
ejpam-6001	300	34	,	,	PUNCT
ejpam-6001	300	35	i2(j+1	i2(j+1	X
ejpam-6001	300	36	)	)	PUNCT
ejpam-6001	300	37	=	=	SYM
ejpam-6001	300	38	i2(j	i2(j	PROPN
ejpam-6001	300	39	)	)	PUNCT
ejpam-6001	301	1	+	+	NUM
ejpam-6001	301	2	h	h	NOUN
ejpam-6001	301	3	(	(	PUNCT
ejpam-6001	301	4	ηej	ηej	PROPN
ejpam-6001	301	5	−	−	PROPN
ejpam-6001	301	6	(	(	PUNCT
ejpam-6001	301	7	γ2	γ2	NOUN
ejpam-6001	301	8	+	+	CCONJ
ejpam-6001	301	9	h2	h2	NOUN
ejpam-6001	301	10	+	+	CCONJ
ejpam-6001	301	11	d0	d0	NOUN
ejpam-6001	301	12	+	+	CCONJ
ejpam-6001	301	13	c2)ij	c2)ij	PROPN
ejpam-6001	301	14	)	)	PUNCT
ejpam-6001	301	15	,	,	PUNCT
ejpam-6001	301	16	hj+1	hj+1	NUM
ejpam-6001	301	17	=	=	SYM
ejpam-6001	301	18	hj	hj	PROPN
ejpam-6001	301	19	+	+	CCONJ
ejpam-6001	301	20	h	h	PROPN
ejpam-6001	301	21	(	(	PUNCT
ejpam-6001	301	22	h1i1j	h1i1j	PUNCT
ejpam-6001	301	23	+	+	NUM
ejpam-6001	301	24	h2i2j	h2i2j	NUM
ejpam-6001	301	25	−	−	NOUN
ejpam-6001	301	26	h0hj	h0hj	X
ejpam-6001	301	27	)	)	PUNCT
ejpam-6001	301	28	,	,	PUNCT
ejpam-6001	301	29	rj+1	rj+1	PROPN
ejpam-6001	301	30	=	=	SYM
ejpam-6001	301	31	rj	rj	PROPN
ejpam-6001	301	32	+	+	NUM
ejpam-6001	301	33	h	h	PROPN
ejpam-6001	301	34	(	(	PUNCT
ejpam-6001	301	35	γ1i1j	γ1i1j	PUNCT
ejpam-6001	301	36	+	+	NUM
ejpam-6001	301	37	γ2i2j	γ2i2j	NUM
ejpam-6001	301	38	+	+	CCONJ
ejpam-6001	301	39	h0hj	h0hj	X
ejpam-6001	301	40	−	−	NOUN
ejpam-6001	301	41	(	(	PUNCT
ejpam-6001	301	42	r	r	NOUN
ejpam-6001	301	43	+	+	CCONJ
ejpam-6001	301	44	d0)rj	d0)rj	NOUN
ejpam-6001	301	45	)	)	PUNCT
ejpam-6001	301	46	,	,	PUNCT
ejpam-6001	301	47	dj+1	dj+1	NOUN
ejpam-6001	301	48	=	=	SYM
ejpam-6001	301	49	dj	dj	NOUN
ejpam-6001	302	1	+	+	NUM
ejpam-6001	302	2	h	h	NOUN
ejpam-6001	302	3	(	(	PUNCT
ejpam-6001	302	4	c1i1j	c1i1j	X
ejpam-6001	302	5	+	+	CCONJ
ejpam-6001	302	6	c2i2j	c2i2j	NUM
ejpam-6001	302	7	)	)	PUNCT
ejpam-6001	302	8	.	.	PUNCT
ejpam-6001	303	1	by	by	ADP
ejpam-6001	303	2	using	use	VERB
ejpam-6001	303	3	nsfd	nsfd	ADJ
ejpam-6001	303	4	scheme	scheme	NOUN
ejpam-6001	303	5	,	,	PUNCT
ejpam-6001	303	6	we	we	PRON
ejpam-6001	303	7	simulate	simulate	VERB
ejpam-6001	303	8	the	the	DET
ejpam-6001	303	9	model	model	NOUN
ejpam-6001	303	10	(	(	PUNCT
ejpam-6001	303	11	1	1	NUM
ejpam-6001	303	12	)	)	PUNCT
ejpam-6001	303	13	by	by	ADP
ejpam-6001	303	14	using	use	VERB
ejpam-6001	303	15	numerical	numerical	ADJ
ejpam-6001	303	16	values	value	NOUN
ejpam-6001	303	17	given	give	VERB
ejpam-6001	303	18	in	in	ADP
ejpam-6001	303	19	table	table	NOUN
ejpam-6001	303	20	2	2	NUM
ejpam-6001	303	21	taking	take	VERB
ejpam-6001	303	22	the	the	DET
ejpam-6001	303	23	values	value	NOUN
ejpam-6001	303	24	from	from	ADP
ejpam-6001	303	25	[	[	X
ejpam-6001	303	26	4	4	NUM
ejpam-6001	303	27	]	]	PUNCT
ejpam-6001	303	28	.	.	PUNCT
ejpam-6001	304	1	variable	variable	ADJ
ejpam-6001	304	2	numerical	numerical	PROPN
ejpam-6001	304	3	values	values	PROPN
ejpam-6001	304	4	variable	variable	PROPN
ejpam-6001	304	5	numerical	numerical	PROPN
ejpam-6001	304	6	s	s	PROPN
ejpam-6001	304	7	60140000	60140000	NUM
ejpam-6001	304	8	ϕ	ϕ	NOUN
ejpam-6001	304	9	0.9566	0.9566	NUM
ejpam-6001	304	10	e	e	NOUN
ejpam-6001	304	11	62000	62000	NUM
ejpam-6001	304	12	γ1	γ1	PROPN
ejpam-6001	304	13	0.8447	0.8447	NUM
ejpam-6001	304	14	i1	i1	PROPN
ejpam-6001	304	15	8000	8000	NUM
ejpam-6001	304	16	γ2	γ2	PROPN
ejpam-6001	304	17	0.6746	0.6746	NUM
ejpam-6001	304	18	i2	i2	PROPN
ejpam-6001	304	19	100	100	NUM
ejpam-6001	304	20	c1	c1	PROPN
ejpam-6001	304	21	0.0012	0.0012	NUM
ejpam-6001	304	22	h	h	NOUN
ejpam-6001	304	23	50	50	NUM
ejpam-6001	304	24	c2	c2	PROPN
ejpam-6001	304	25	0.0015	0.0015	NUM
ejpam-6001	304	26	r	r	NOUN
ejpam-6001	304	27	0	0	NUM
ejpam-6001	304	28	η	η	PROPN
ejpam-6001	304	29	0.01010	0.01010	PROPN
ejpam-6001	304	30	d	d	PROPN
ejpam-6001	304	31	0	0	NUM
ejpam-6001	304	32	b	b	NUM
ejpam-6001	304	33	2560	2560	NUM
ejpam-6001	304	34	d0	d0	NOUN
ejpam-6001	304	35	39	39	NUM
ejpam-6001	304	36	%	%	NOUN
ejpam-6001	304	37	β	β	NOUN
ejpam-6001	304	38	0.00231	0.00231	NUM
ejpam-6001	304	39	%	%	NOUN
ejpam-6001	304	40	k	k	NOUN
ejpam-6001	304	41	12	12	NUM
ejpam-6001	304	42	%	%	NOUN
ejpam-6001	304	43	r	r	NOUN
ejpam-6001	304	44	0.046	0.046	NUM
ejpam-6001	304	45	h1	h1	PROPN
ejpam-6001	304	46	0.0010	0.0010	NUM
ejpam-6001	304	47	h2	h2	NOUN
ejpam-6001	304	48	0.0010	0.0010	NUM
ejpam-6001	304	49	h0	h0	NOUN
ejpam-6001	304	50	0.0200	0.0200	NUM
ejpam-6001	304	51	d0	d0	NOUN
ejpam-6001	304	52	0.00004	0.00004	NUM
ejpam-6001	304	53	table	table	NOUN
ejpam-6001	304	54	2	2	NUM
ejpam-6001	304	55	:	:	PUNCT
ejpam-6001	304	56	the	the	DET
ejpam-6001	304	57	parameters	parameter	NOUN
ejpam-6001	304	58	of	of	ADP
ejpam-6001	304	59	the	the	DET
ejpam-6001	304	60	system	system	NOUN
ejpam-6001	304	61	are	be	AUX
ejpam-6001	304	62	described	describe	VERB
ejpam-6001	304	63	and	and	CCONJ
ejpam-6001	304	64	specified	specify	VERB
ejpam-6001	304	65	,	,	PUNCT
ejpam-6001	304	66	with	with	ADP
ejpam-6001	304	67	approximate	approximate	ADJ
ejpam-6001	304	68	real	real	ADJ
ejpam-6001	304	69	values	value	NOUN
ejpam-6001	304	70	(	(	PUNCT
ejpam-6001	304	71	1	1	NUM
ejpam-6001	304	72	)	)	PUNCT
ejpam-6001	304	73	.	.	PUNCT
ejpam-6001	305	1	m.	m.	NOUN
ejpam-6001	305	2	riaz	riaz	PROPN
ejpam-6001	305	3	et	et	PROPN
ejpam-6001	305	4	al	al	PROPN
ejpam-6001	305	5	.	.	PUNCT
ejpam-6001	305	6	/	/	SYM
ejpam-6001	305	7	eur	eur	PROPN
ejpam-6001	305	8	.	.	PUNCT
ejpam-6001	306	1	j.	j.	PROPN
ejpam-6001	306	2	pure	pure	PROPN
ejpam-6001	306	3	appl	appl	PROPN
ejpam-6001	306	4	.	.	PROPN
ejpam-6001	306	5	math	math	PROPN
ejpam-6001	306	6	,	,	PUNCT
ejpam-6001	306	7	18	18	NUM
ejpam-6001	306	8	(	(	PUNCT
ejpam-6001	306	9	2	2	NUM
ejpam-6001	306	10	)	)	PUNCT
ejpam-6001	306	11	(	(	PUNCT
ejpam-6001	306	12	2025	2025	NUM
ejpam-6001	306	13	)	)	PUNCT
ejpam-6001	306	14	,	,	PUNCT
ejpam-6001	306	15	6001	6001	NUM
ejpam-6001	306	16	15	15	NUM
ejpam-6001	306	17	of	of	ADP
ejpam-6001	306	18	27	27	NUM
ejpam-6001	306	19	here	here	ADV
ejpam-6001	306	20	in	in	ADP
ejpam-6001	306	21	figures	figure	NOUN
ejpam-6001	306	22	3	3	NUM
ejpam-6001	306	23	-	-	SYM
ejpam-6001	306	24	9	9	NUM
ejpam-6001	307	1	,	,	PUNCT
ejpam-6001	307	2	we	we	PRON
ejpam-6001	307	3	simulate	simulate	VERB
ejpam-6001	307	4	the	the	DET
ejpam-6001	307	5	results	result	NOUN
ejpam-6001	307	6	using	use	VERB
ejpam-6001	307	7	the	the	DET
ejpam-6001	307	8	numerical	numerical	ADJ
ejpam-6001	307	9	values	value	NOUN
ejpam-6001	307	10	of	of	ADP
ejpam-6001	307	11	table	table	NOUN
ejpam-6001	307	12	2	2	NUM
ejpam-6001	307	13	.	.	PUNCT
ejpam-6001	308	1	in	in	ADP
ejpam-6001	308	2	steady	steady	ADJ
ejpam-6001	308	3	state	state	NOUN
ejpam-6001	308	4	,	,	PUNCT
ejpam-6001	308	5	the	the	DET
ejpam-6001	308	6	number	number	NOUN
ejpam-6001	308	7	of	of	ADP
ejpam-6001	308	8	stage	stage	NOUN
ejpam-6001	308	9	one	one	NUM
ejpam-6001	308	10	carcinoma	carcinoma	NOUN
ejpam-6001	308	11	patients	patient	NOUN
ejpam-6001	308	12	with	with	ADP
ejpam-6001	308	13	an	an	DET
ejpam-6001	308	14	initial	initial	ADJ
ejpam-6001	308	15	condition	condition	NOUN
ejpam-6001	308	16	drops	drop	VERB
ejpam-6001	308	17	from	from	ADP
ejpam-6001	308	18	20	20	NUM
ejpam-6001	308	19	to	to	PART
ejpam-6001	308	20	3	3	NUM
ejpam-6001	308	21	in	in	ADP
ejpam-6001	308	22	three	three	NUM
ejpam-6001	308	23	to	to	PART
ejpam-6001	308	24	four	four	NUM
ejpam-6001	308	25	months	month	NOUN
ejpam-6001	308	26	of	of	ADP
ejpam-6001	308	27	time	time	NOUN
ejpam-6001	308	28	.	.	PUNCT
ejpam-6001	309	1	at	at	ADP
ejpam-6001	309	2	stage	stage	NOUN
ejpam-6001	309	3	two	two	NUM
ejpam-6001	309	4	,	,	PUNCT
ejpam-6001	309	5	it	it	PRON
ejpam-6001	309	6	decreased	decrease	VERB
ejpam-6001	309	7	to	to	ADP
ejpam-6001	309	8	4	4	NUM
ejpam-6001	309	9	from	from	ADP
ejpam-6001	309	10	14	14	NUM
ejpam-6001	309	11	in	in	ADP
ejpam-6001	309	12	three	three	NUM
ejpam-6001	309	13	to	to	PART
ejpam-6001	309	14	four	four	NUM
ejpam-6001	309	15	months	month	NOUN
ejpam-6001	309	16	of	of	ADP
ejpam-6001	309	17	time	time	NOUN
ejpam-6001	309	18	.	.	PUNCT
ejpam-6001	310	1	stage	stage	NOUN
ejpam-6001	310	2	3	3	NUM
ejpam-6001	310	3	decreased	decrease	VERB
ejpam-6001	310	4	to	to	ADP
ejpam-6001	310	5	5	5	NUM
ejpam-6001	310	6	from	from	ADP
ejpam-6001	310	7	30	30	NUM
ejpam-6001	310	8	in	in	ADP
ejpam-6001	310	9	three	three	NUM
ejpam-6001	310	10	to	to	PART
ejpam-6001	310	11	four	four	NUM
ejpam-6001	310	12	months	month	NOUN
ejpam-6001	310	13	of	of	ADP
ejpam-6001	310	14	time	time	NOUN
ejpam-6001	310	15	.	.	PUNCT
ejpam-6001	311	1	in	in	ADP
ejpam-6001	311	2	stage	stage	NOUN
ejpam-6001	311	3	4	4	NUM
ejpam-6001	311	4	,	,	PUNCT
ejpam-6001	311	5	it	it	PRON
ejpam-6001	311	6	decreased	decrease	VERB
ejpam-6001	311	7	to	to	ADP
ejpam-6001	311	8	5	5	NUM
ejpam-6001	311	9	from	from	ADP
ejpam-6001	311	10	20	20	NUM
ejpam-6001	311	11	in	in	ADP
ejpam-6001	311	12	three	three	NUM
ejpam-6001	311	13	to	to	PART
ejpam-6001	311	14	four	four	NUM
ejpam-6001	311	15	months	month	NOUN
ejpam-6001	311	16	of	of	ADP
ejpam-6001	311	17	time	time	NOUN
ejpam-6001	311	18	.	.	PUNCT
ejpam-6001	312	1	in	in	ADP
ejpam-6001	312	2	the	the	DET
ejpam-6001	312	3	recovered	recovered	ADJ
ejpam-6001	312	4	population	population	NOUN
ejpam-6001	312	5	,	,	PUNCT
ejpam-6001	312	6	a	a	DET
ejpam-6001	312	7	rapid	rapid	ADJ
ejpam-6001	312	8	increase	increase	NOUN
ejpam-6001	312	9	was	be	AUX
ejpam-6001	312	10	seen	see	VERB
ejpam-6001	312	11	,	,	PUNCT
ejpam-6001	312	12	and	and	CCONJ
ejpam-6001	312	13	cardiotoxic	cardiotoxic	ADJ
ejpam-6001	312	14	patients	patient	NOUN
ejpam-6001	312	15	showed	show	VERB
ejpam-6001	312	16	a	a	DET
ejpam-6001	312	17	great	great	ADJ
ejpam-6001	312	18	increase	increase	NOUN
ejpam-6001	312	19	from	from	ADP
ejpam-6001	312	20	10	10	NUM
ejpam-6001	312	21	to	to	PART
ejpam-6001	312	22	29	29	NUM
ejpam-6001	312	23	in	in	ADP
ejpam-6001	312	24	the	the	DET
ejpam-6001	312	25	first	first	ADJ
ejpam-6001	312	26	month	month	NOUN
ejpam-6001	312	27	under	under	ADP
ejpam-6001	312	28	steady	steady	ADJ
ejpam-6001	312	29	-	-	PUNCT
ejpam-6001	312	30	state	state	NOUN
ejpam-6001	312	31	conditions	condition	NOUN
ejpam-6001	312	32	.	.	PUNCT
ejpam-6001	313	1	time	time	NOUN
ejpam-6001	313	2	(	(	PUNCT
ejpam-6001	313	3	days	day	NOUN
ejpam-6001	313	4	)	)	PUNCT
ejpam-6001	313	5	0	0	NUM
ejpam-6001	313	6	50	50	NUM
ejpam-6001	313	7	100	100	NUM
ejpam-6001	313	8	150	150	NUM
ejpam-6001	313	9	200	200	NUM
ejpam-6001	313	10	250	250	NUM
ejpam-6001	313	11	p	p	NOUN
ejpam-6001	313	12	op	op	NOUN
ejpam-6001	313	13	ul	ul	NOUN
ejpam-6001	313	14	at	at	ADP
ejpam-6001	313	15	io	io	PROPN
ejpam-6001	313	16	n	n	PROPN
ejpam-6001	313	17	d	d	X
ejpam-6001	313	18	en	en	X
ejpam-6001	313	19	si	si	PROPN
ejpam-6001	314	1	ty	ty	INTJ
ejpam-6001	315	1	o	o	X
ejpam-6001	315	2	f	f	X
ejpam-6001	315	3	s	s	VERB
ejpam-6001	315	4	us	us	PROPN
ejpam-6001	315	5	ce	ce	PROPN
ejpam-6001	315	6	pt	pt	X
ejpam-6001	315	7	ib	ib	PROPN
ejpam-6001	315	8	le	le	X
ejpam-6001	315	9	0	0	NUM
ejpam-6001	315	10	10	10	NUM
ejpam-6001	315	11	20	20	NUM
ejpam-6001	315	12	30	30	NUM
ejpam-6001	315	13	40	40	NUM
ejpam-6001	315	14	50	50	NUM
ejpam-6001	315	15	60	60	NUM
ejpam-6001	315	16	70	70	NUM
ejpam-6001	315	17	figure	figure	NOUN
ejpam-6001	315	18	3	3	NUM
ejpam-6001	315	19	:	:	PUNCT
ejpam-6001	315	20	plot	plot	NOUN
ejpam-6001	315	21	of	of	ADP
ejpam-6001	315	22	numerical	numerical	ADJ
ejpam-6001	315	23	solutions	solution	NOUN
ejpam-6001	315	24	for	for	ADP
ejpam-6001	315	25	the	the	DET
ejpam-6001	315	26	susceptible	susceptible	ADJ
ejpam-6001	315	27	class	class	NOUN
ejpam-6001	315	28	of	of	ADP
ejpam-6001	315	29	the	the	DET
ejpam-6001	315	30	proposed	propose	VERB
ejpam-6001	315	31	model	model	NOUN
ejpam-6001	315	32	(	(	PUNCT
ejpam-6001	315	33	1	1	NUM
ejpam-6001	315	34	)	)	PUNCT
ejpam-6001	315	35	.	.	PUNCT
ejpam-6001	316	1	time	time	NOUN
ejpam-6001	316	2	(	(	PUNCT
ejpam-6001	316	3	days	day	NOUN
ejpam-6001	316	4	)	)	PUNCT
ejpam-6001	316	5	0	0	NUM
ejpam-6001	316	6	50	50	NUM
ejpam-6001	316	7	100	100	NUM
ejpam-6001	316	8	150	150	NUM
ejpam-6001	316	9	200	200	NUM
ejpam-6001	316	10	250	250	NUM
ejpam-6001	316	11	p	p	NOUN
ejpam-6001	316	12	op	op	NOUN
ejpam-6001	316	13	ul	ul	NOUN
ejpam-6001	316	14	at	at	ADP
ejpam-6001	316	15	io	io	PROPN
ejpam-6001	316	16	n	n	PROPN
ejpam-6001	316	17	d	d	X
ejpam-6001	316	18	en	en	X
ejpam-6001	316	19	si	si	PROPN
ejpam-6001	317	1	ty	ty	INTJ
ejpam-6001	317	2	o	o	X
ejpam-6001	318	1	f	f	X
ejpam-6001	318	2	e	e	X
ejpam-6001	318	3	xp	xp	INTJ
ejpam-6001	318	4	os	os	PROPN
ejpam-6001	318	5	ed	ed	NOUN
ejpam-6001	318	6	0	0	NUM
ejpam-6001	318	7	0.01	0.01	NUM
ejpam-6001	318	8	0.02	0.02	NUM
ejpam-6001	318	9	0.03	0.03	NUM
ejpam-6001	318	10	0.04	0.04	NUM
ejpam-6001	318	11	0.05	0.05	NUM
ejpam-6001	318	12	0.06	0.06	NUM
ejpam-6001	318	13	0.07	0.07	NUM
ejpam-6001	318	14	figure	figure	NOUN
ejpam-6001	318	15	4	4	NUM
ejpam-6001	318	16	:	:	PUNCT
ejpam-6001	318	17	plot	plot	NOUN
ejpam-6001	318	18	of	of	ADP
ejpam-6001	318	19	numerical	numerical	ADJ
ejpam-6001	318	20	solutions	solution	NOUN
ejpam-6001	318	21	for	for	ADP
ejpam-6001	318	22	the	the	DET
ejpam-6001	318	23	exposed	expose	VERB
ejpam-6001	318	24	class	class	NOUN
ejpam-6001	318	25	of	of	ADP
ejpam-6001	318	26	the	the	DET
ejpam-6001	318	27	proposed	propose	VERB
ejpam-6001	318	28	model	model	NOUN
ejpam-6001	318	29	(	(	PUNCT
ejpam-6001	318	30	1	1	NUM
ejpam-6001	318	31	)	)	PUNCT
ejpam-6001	318	32	.	.	PUNCT
ejpam-6001	319	1	m.	m.	NOUN
ejpam-6001	319	2	riaz	riaz	PROPN
ejpam-6001	319	3	et	et	PROPN
ejpam-6001	319	4	al	al	PROPN
ejpam-6001	319	5	.	.	PUNCT
ejpam-6001	319	6	/	/	SYM
ejpam-6001	319	7	eur	eur	PROPN
ejpam-6001	319	8	.	.	PUNCT
ejpam-6001	320	1	j.	j.	PROPN
ejpam-6001	320	2	pure	pure	PROPN
ejpam-6001	320	3	appl	appl	PROPN
ejpam-6001	320	4	.	.	PROPN
ejpam-6001	320	5	math	math	PROPN
ejpam-6001	320	6	,	,	PUNCT
ejpam-6001	320	7	18	18	NUM
ejpam-6001	320	8	(	(	PUNCT
ejpam-6001	320	9	2	2	NUM
ejpam-6001	320	10	)	)	PUNCT
ejpam-6001	320	11	(	(	PUNCT
ejpam-6001	320	12	2025	2025	NUM
ejpam-6001	320	13	)	)	PUNCT
ejpam-6001	320	14	,	,	PUNCT
ejpam-6001	320	15	6001	6001	NUM
ejpam-6001	320	16	16	16	NUM
ejpam-6001	320	17	of	of	ADP
ejpam-6001	320	18	27	27	NUM
ejpam-6001	320	19	time	time	NOUN
ejpam-6001	320	20	(	(	PUNCT
ejpam-6001	320	21	days	day	NOUN
ejpam-6001	320	22	)	)	PUNCT
ejpam-6001	320	23	0	0	NUM
ejpam-6001	321	1	50	50	NUM
ejpam-6001	321	2	100	100	NUM
ejpam-6001	321	3	150	150	NUM
ejpam-6001	321	4	200	200	NUM
ejpam-6001	321	5	250	250	NUM
ejpam-6001	321	6	p	p	NOUN
ejpam-6001	321	7	op	op	NOUN
ejpam-6001	321	8	ul	ul	NOUN
ejpam-6001	321	9	at	at	ADP
ejpam-6001	321	10	io	io	PROPN
ejpam-6001	321	11	n	n	PROPN
ejpam-6001	321	12	d	d	X
ejpam-6001	321	13	en	en	X
ejpam-6001	321	14	si	si	PROPN
ejpam-6001	321	15	ty	ty	INTJ
ejpam-6001	321	16	o	o	X
ejpam-6001	322	1	f	f	X
ejpam-6001	322	2	s	s	PART
ejpam-6001	322	3	tr	tr	NOUN
ejpam-6001	322	4	ai	ai	NOUN
ejpam-6001	322	5	n	n	ADV
ejpam-6001	322	6	1	1	NUM
ejpam-6001	322	7	co	co	NOUN
ejpam-6001	322	8	m	m	PROPN
ejpam-6001	322	9	pa	pa	PROPN
ejpam-6001	322	10	rt	rt	PROPN
ejpam-6001	322	11	m	m	PROPN
ejpam-6001	322	12	en	en	ADP
ejpam-6001	322	13	t	t	NOUN
ejpam-6001	322	14	0	0	NUM
ejpam-6001	322	15	0.005	0.005	NUM
ejpam-6001	322	16	0.01	0.01	NUM
ejpam-6001	322	17	0.015	0.015	NUM
ejpam-6001	322	18	0.02	0.02	NUM
ejpam-6001	322	19	0.025	0.025	NUM
ejpam-6001	322	20	0.03	0.03	NUM
ejpam-6001	322	21	figure	figure	NOUN
ejpam-6001	322	22	5	5	NUM
ejpam-6001	322	23	:	:	PUNCT
ejpam-6001	322	24	plot	plot	NOUN
ejpam-6001	322	25	of	of	ADP
ejpam-6001	322	26	numerical	numerical	ADJ
ejpam-6001	322	27	solutions	solution	NOUN
ejpam-6001	322	28	for	for	ADP
ejpam-6001	322	29	the	the	DET
ejpam-6001	322	30	strain	strain	ADJ
ejpam-6001	322	31	1	1	NUM
ejpam-6001	322	32	class	class	NOUN
ejpam-6001	322	33	of	of	ADP
ejpam-6001	322	34	the	the	DET
ejpam-6001	322	35	proposed	propose	VERB
ejpam-6001	322	36	model	model	NOUN
ejpam-6001	322	37	(	(	PUNCT
ejpam-6001	322	38	1	1	NUM
ejpam-6001	322	39	)	)	PUNCT
ejpam-6001	322	40	.	.	PUNCT
ejpam-6001	323	1	time	time	NOUN
ejpam-6001	323	2	(	(	PUNCT
ejpam-6001	323	3	days	day	NOUN
ejpam-6001	323	4	)	)	PUNCT
ejpam-6001	323	5	0	0	NUM
ejpam-6001	323	6	50	50	NUM
ejpam-6001	323	7	100	100	NUM
ejpam-6001	323	8	150	150	NUM
ejpam-6001	323	9	200	200	NUM
ejpam-6001	323	10	250	250	NUM
ejpam-6001	323	11	p	p	NOUN
ejpam-6001	323	12	op	op	NOUN
ejpam-6001	323	13	ul	ul	NOUN
ejpam-6001	323	14	at	at	ADP
ejpam-6001	323	15	io	io	PROPN
ejpam-6001	323	16	n	n	PROPN
ejpam-6001	323	17	d	d	X
ejpam-6001	323	18	en	en	X
ejpam-6001	323	19	si	si	PROPN
ejpam-6001	324	1	ty	ty	INTJ
ejpam-6001	325	1	o	o	X
ejpam-6001	325	2	f	f	X
ejpam-6001	325	3	s	s	PART
ejpam-6001	325	4	tr	tr	NOUN
ejpam-6001	325	5	ai	ai	NOUN
ejpam-6001	325	6	n	n	ADV
ejpam-6001	325	7	2	2	NUM
ejpam-6001	325	8	co	co	NOUN
ejpam-6001	325	9	m	m	PROPN
ejpam-6001	325	10	pa	pa	PROPN
ejpam-6001	325	11	rt	rt	PROPN
ejpam-6001	325	12	m	m	PROPN
ejpam-6001	325	13	en	en	PROPN
ejpam-6001	325	14	t	t	PROPN
ejpam-6001	325	15	×10	×10	PROPN
ejpam-6001	325	16	-	-	PUNCT
ejpam-6001	325	17	4	4	NUM
ejpam-6001	325	18	0	0	NUM
ejpam-6001	325	19	0.5	0.5	NUM
ejpam-6001	325	20	1	1	NUM
ejpam-6001	325	21	1.5	1.5	NUM
ejpam-6001	325	22	2	2	NUM
ejpam-6001	325	23	2.5	2.5	NUM
ejpam-6001	325	24	3	3	NUM
ejpam-6001	325	25	3.5	3.5	NUM
ejpam-6001	325	26	figure	figure	NOUN
ejpam-6001	325	27	6	6	NUM
ejpam-6001	325	28	:	:	PUNCT
ejpam-6001	325	29	plot	plot	NOUN
ejpam-6001	325	30	of	of	ADP
ejpam-6001	325	31	numerical	numerical	ADJ
ejpam-6001	325	32	solutions	solution	NOUN
ejpam-6001	325	33	for	for	ADP
ejpam-6001	325	34	the	the	DET
ejpam-6001	325	35	strain	strain	ADJ
ejpam-6001	325	36	2	2	NUM
ejpam-6001	325	37	class	class	NOUN
ejpam-6001	325	38	of	of	ADP
ejpam-6001	325	39	the	the	DET
ejpam-6001	325	40	proposed	propose	VERB
ejpam-6001	325	41	model	model	NOUN
ejpam-6001	325	42	(	(	PUNCT
ejpam-6001	325	43	1	1	NUM
ejpam-6001	325	44	)	)	PUNCT
ejpam-6001	325	45	.	.	PUNCT
ejpam-6001	326	1	time	time	NOUN
ejpam-6001	326	2	(	(	PUNCT
ejpam-6001	326	3	days	day	NOUN
ejpam-6001	326	4	)	)	PUNCT
ejpam-6001	326	5	0	0	NUM
ejpam-6001	326	6	50	50	NUM
ejpam-6001	326	7	100	100	NUM
ejpam-6001	326	8	150	150	NUM
ejpam-6001	326	9	200	200	NUM
ejpam-6001	326	10	250	250	NUM
ejpam-6001	326	11	p	p	NOUN
ejpam-6001	326	12	op	op	NOUN
ejpam-6001	326	13	ul	ul	NOUN
ejpam-6001	326	14	at	at	ADP
ejpam-6001	326	15	io	io	PROPN
ejpam-6001	326	16	n	n	PROPN
ejpam-6001	326	17	d	d	X
ejpam-6001	326	18	en	en	X
ejpam-6001	326	19	si	si	INTJ
ejpam-6001	326	20	ty	ty	INTJ
ejpam-6001	326	21	h	h	NOUN
ejpam-6001	326	22	os	os	NOUN
ejpam-6001	326	23	pi	pi	NOUN
ejpam-6001	326	24	ta	ta	X
ejpam-6001	326	25	liz	liz	PROPN
ejpam-6001	327	1	ed	ed	PROPN
ejpam-6001	328	1	c	c	PROPN
ejpam-6001	328	2	om	om	PROPN
ejpam-6001	329	1	pa	pa	PROPN
ejpam-6001	329	2	rt	rt	PROPN
ejpam-6001	329	3	m	m	PROPN
ejpam-6001	329	4	en	en	PROPN
ejpam-6001	329	5	t	t	PROPN
ejpam-6001	329	6	×10	×10	PROPN
ejpam-6001	329	7	-	-	PUNCT
ejpam-6001	329	8	4	4	NUM
ejpam-6001	329	9	0	0	NUM
ejpam-6001	329	10	1	1	NUM
ejpam-6001	329	11	2	2	NUM
ejpam-6001	329	12	3	3	NUM
ejpam-6001	329	13	4	4	NUM
ejpam-6001	329	14	5	5	NUM
ejpam-6001	329	15	6	6	NUM
ejpam-6001	329	16	figure	figure	NOUN
ejpam-6001	329	17	7	7	NUM
ejpam-6001	329	18	:	:	PUNCT
ejpam-6001	329	19	plot	plot	NOUN
ejpam-6001	329	20	of	of	ADP
ejpam-6001	329	21	numerical	numerical	ADJ
ejpam-6001	329	22	solutions	solution	NOUN
ejpam-6001	329	23	for	for	ADP
ejpam-6001	329	24	the	the	DET
ejpam-6001	329	25	hospitalized	hospitalize	VERB
ejpam-6001	329	26	class	class	NOUN
ejpam-6001	329	27	of	of	ADP
ejpam-6001	329	28	the	the	DET
ejpam-6001	329	29	proposed	propose	VERB
ejpam-6001	329	30	model	model	NOUN
ejpam-6001	329	31	(	(	PUNCT
ejpam-6001	329	32	1	1	NUM
ejpam-6001	329	33	)	)	PUNCT
ejpam-6001	329	34	.	.	PUNCT
ejpam-6001	330	1	m.	m.	NOUN
ejpam-6001	330	2	riaz	riaz	PROPN
ejpam-6001	330	3	et	et	PROPN
ejpam-6001	330	4	al	al	PROPN
ejpam-6001	330	5	.	.	PUNCT
ejpam-6001	330	6	/	/	SYM
ejpam-6001	330	7	eur	eur	PROPN
ejpam-6001	330	8	.	.	PUNCT
ejpam-6001	331	1	j.	j.	PROPN
ejpam-6001	331	2	pure	pure	PROPN
ejpam-6001	331	3	appl	appl	PROPN
ejpam-6001	331	4	.	.	PROPN
ejpam-6001	331	5	math	math	PROPN
ejpam-6001	331	6	,	,	PUNCT
ejpam-6001	331	7	18	18	NUM
ejpam-6001	331	8	(	(	PUNCT
ejpam-6001	331	9	2	2	NUM
ejpam-6001	331	10	)	)	PUNCT
ejpam-6001	331	11	(	(	PUNCT
ejpam-6001	331	12	2025	2025	NUM
ejpam-6001	331	13	)	)	PUNCT
ejpam-6001	331	14	,	,	PUNCT
ejpam-6001	331	15	6001	6001	NUM
ejpam-6001	331	16	17	17	NUM
ejpam-6001	331	17	of	of	ADP
ejpam-6001	331	18	27	27	NUM
ejpam-6001	331	19	time	time	NOUN
ejpam-6001	331	20	(	(	PUNCT
ejpam-6001	331	21	days	day	NOUN
ejpam-6001	331	22	)	)	PUNCT
ejpam-6001	331	23	0	0	NUM
ejpam-6001	332	1	50	50	NUM
ejpam-6001	332	2	100	100	NUM
ejpam-6001	332	3	150	150	NUM
ejpam-6001	332	4	200	200	NUM
ejpam-6001	332	5	250	250	NUM
ejpam-6001	332	6	p	p	NOUN
ejpam-6001	332	7	op	op	NOUN
ejpam-6001	332	8	ul	ul	NOUN
ejpam-6001	332	9	at	at	ADP
ejpam-6001	332	10	io	io	PROPN
ejpam-6001	332	11	n	n	PROPN
ejpam-6001	332	12	d	d	X
ejpam-6001	332	13	en	en	X
ejpam-6001	332	14	si	si	PROPN
ejpam-6001	332	15	ty	ty	INTJ
ejpam-6001	332	16	o	o	NOUN
ejpam-6001	332	17	f	f	X
ejpam-6001	332	18	r	r	NOUN
ejpam-6001	332	19	ec	ec	PROPN
ejpam-6001	332	20	ov	ov	INTJ
ejpam-6001	332	21	er	er	INTJ
ejpam-6001	332	22	ed	ed	NOUN
ejpam-6001	332	23	c	c	PROPN
ejpam-6001	332	24	om	om	PROPN
ejpam-6001	333	1	pa	pa	PROPN
ejpam-6001	333	2	rt	rt	PROPN
ejpam-6001	333	3	m	m	PROPN
ejpam-6001	333	4	en	en	ADP
ejpam-6001	333	5	t	t	NOUN
ejpam-6001	333	6	0	0	NUM
ejpam-6001	333	7	0.01	0.01	NUM
ejpam-6001	333	8	0.02	0.02	NUM
ejpam-6001	333	9	0.03	0.03	NUM
ejpam-6001	333	10	0.04	0.04	NUM
ejpam-6001	333	11	0.05	0.05	NUM
ejpam-6001	333	12	0.06	0.06	NUM
ejpam-6001	333	13	figure	figure	NOUN
ejpam-6001	333	14	8	8	NUM
ejpam-6001	333	15	:	:	PUNCT
ejpam-6001	333	16	plot	plot	NOUN
ejpam-6001	333	17	of	of	ADP
ejpam-6001	333	18	numerical	numerical	ADJ
ejpam-6001	333	19	solutions	solution	NOUN
ejpam-6001	333	20	for	for	ADP
ejpam-6001	333	21	the	the	DET
ejpam-6001	333	22	recovered	recovered	ADJ
ejpam-6001	333	23	class	class	NOUN
ejpam-6001	333	24	of	of	ADP
ejpam-6001	333	25	the	the	DET
ejpam-6001	333	26	proposed	propose	VERB
ejpam-6001	333	27	model	model	NOUN
ejpam-6001	333	28	(	(	PUNCT
ejpam-6001	333	29	1	1	NUM
ejpam-6001	333	30	)	)	PUNCT
ejpam-6001	333	31	.	.	PUNCT
ejpam-6001	334	1	time	time	NOUN
ejpam-6001	334	2	(	(	PUNCT
ejpam-6001	334	3	days	day	NOUN
ejpam-6001	334	4	)	)	PUNCT
ejpam-6001	334	5	0	0	NUM
ejpam-6001	334	6	50	50	NUM
ejpam-6001	334	7	100	100	NUM
ejpam-6001	334	8	150	150	NUM
ejpam-6001	334	9	200	200	NUM
ejpam-6001	334	10	250	250	NUM
ejpam-6001	334	11	p	p	NOUN
ejpam-6001	334	12	op	op	NOUN
ejpam-6001	334	13	ul	ul	NOUN
ejpam-6001	334	14	at	at	ADP
ejpam-6001	334	15	io	io	PROPN
ejpam-6001	334	16	n	n	PROPN
ejpam-6001	334	17	d	d	X
ejpam-6001	334	18	en	en	X
ejpam-6001	334	19	si	si	INTJ
ejpam-6001	335	1	ty	ty	INTJ
ejpam-6001	336	1	d	d	PROPN
ejpam-6001	336	2	ea	ea	X
ejpam-6001	336	3	th	th	X
ejpam-6001	336	4	c	c	NOUN
ejpam-6001	337	1	om	om	PROPN
ejpam-6001	337	2	pa	pa	PROPN
ejpam-6001	337	3	rt	rt	PROPN
ejpam-6001	337	4	m	m	PROPN
ejpam-6001	337	5	en	en	PROPN
ejpam-6001	337	6	t	t	PROPN
ejpam-6001	337	7	×10	×10	PROPN
ejpam-6001	337	8	-	-	PUNCT
ejpam-6001	337	9	4	4	NUM
ejpam-6001	337	10	0	0	NUM
ejpam-6001	337	11	1	1	NUM
ejpam-6001	337	12	2	2	NUM
ejpam-6001	337	13	3	3	NUM
ejpam-6001	337	14	4	4	NUM
ejpam-6001	337	15	5	5	NUM
ejpam-6001	337	16	6	6	NUM
ejpam-6001	337	17	figure	figure	NOUN
ejpam-6001	337	18	9	9	NUM
ejpam-6001	337	19	:	:	PUNCT
ejpam-6001	337	20	plot	plot	NOUN
ejpam-6001	337	21	of	of	ADP
ejpam-6001	337	22	numerical	numerical	ADJ
ejpam-6001	337	23	solutions	solution	NOUN
ejpam-6001	337	24	for	for	ADP
ejpam-6001	337	25	the	the	DET
ejpam-6001	337	26	death	death	NOUN
ejpam-6001	337	27	class	class	NOUN
ejpam-6001	337	28	of	of	ADP
ejpam-6001	337	29	the	the	DET
ejpam-6001	337	30	proposed	propose	VERB
ejpam-6001	337	31	model	model	NOUN
ejpam-6001	337	32	(	(	PUNCT
ejpam-6001	337	33	1	1	NUM
ejpam-6001	337	34	)	)	PUNCT
ejpam-6001	337	35	.	.	PUNCT
ejpam-6001	338	1	here	here	ADV
ejpam-6001	338	2	,	,	PUNCT
ejpam-6001	338	3	the	the	DET
ejpam-6001	338	4	dynamical	dynamical	ADJ
ejpam-6001	338	5	behaviors	behavior	NOUN
ejpam-6001	338	6	corresponding	correspond	VERB
ejpam-6001	338	7	to	to	ADP
ejpam-6001	338	8	different	different	ADJ
ejpam-6001	338	9	initial	initial	ADJ
ejpam-6001	338	10	data	datum	NOUN
ejpam-6001	338	11	of	of	ADP
ejpam-6001	338	12	each	each	DET
ejpam-6001	338	13	compartment	compartment	NOUN
ejpam-6001	338	14	of	of	ADP
ejpam-6001	338	15	the	the	DET
ejpam-6001	338	16	proposed	propose	VERB
ejpam-6001	338	17	model	model	NOUN
ejpam-6001	338	18	is	be	AUX
ejpam-6001	338	19	presented	present	VERB
ejpam-6001	338	20	in	in	ADP
ejpam-6001	338	21	figures	figure	NOUN
ejpam-6001	338	22	3	3	NUM
ejpam-6001	338	23	to	to	ADP
ejpam-6001	338	24	9	9	NUM
ejpam-6001	338	25	.	.	PUNCT
ejpam-6001	339	1	with	with	ADP
ejpam-6001	339	2	the	the	DET
ejpam-6001	339	3	help	help	NOUN
ejpam-6001	339	4	of	of	ADP
ejpam-6001	339	5	treatment	treatment	NOUN
ejpam-6001	339	6	,	,	PUNCT
ejpam-6001	339	7	social	social	ADJ
ejpam-6001	339	8	distancing	distancing	NOUN
ejpam-6001	339	9	,	,	PUNCT
ejpam-6001	339	10	and	and	CCONJ
ejpam-6001	339	11	other	other	ADJ
ejpam-6001	339	12	intervention	intervention	NOUN
ejpam-6001	339	13	strategies	strategy	NOUN
ejpam-6001	339	14	,	,	PUNCT
ejpam-6001	339	15	the	the	DET
ejpam-6001	339	16	susceptible	susceptible	ADJ
ejpam-6001	339	17	population	population	NOUN
ejpam-6001	339	18	decreases	decrease	VERB
ejpam-6001	339	19	over	over	ADP
ejpam-6001	339	20	time	time	NOUN
ejpam-6001	339	21	and	and	CCONJ
ejpam-6001	339	22	finally	finally	ADV
ejpam-6001	339	23	reaching	reach	VERB
ejpam-6001	339	24	to	to	ADP
ejpam-6001	339	25	an	an	DET
ejpam-6001	339	26	equilibrium	equilibrium	NOUN
ejpam-6001	339	27	position	position	NOUN
ejpam-6001	339	28	which	which	PRON
ejpam-6001	339	29	also	also	ADV
ejpam-6001	339	30	reduce	reduce	VERB
ejpam-6001	339	31	the	the	DET
ejpam-6001	339	32	rate	rate	NOUN
ejpam-6001	339	33	of	of	ADP
ejpam-6001	339	34	infection	infection	NOUN
ejpam-6001	339	35	in	in	ADP
ejpam-6001	339	36	other	other	ADJ
ejpam-6001	339	37	compartments	compartment	NOUN
ejpam-6001	339	38	,	,	PUNCT
ejpam-6001	339	39	eventually	eventually	ADV
ejpam-6001	339	40	the	the	DET
ejpam-6001	339	41	disease	disease	NOUN
ejpam-6001	339	42	is	be	AUX
ejpam-6001	339	43	going	go	VERB
ejpam-6001	339	44	to	to	PART
ejpam-6001	339	45	be	be	AUX
ejpam-6001	339	46	decline	decline	NOUN
ejpam-6001	339	47	.	.	PUNCT
ejpam-6001	340	1	moreover	moreover	ADV
ejpam-6001	340	2	,	,	PUNCT
ejpam-6001	340	3	the	the	DET
ejpam-6001	340	4	decline	decline	NOUN
ejpam-6001	340	5	in	in	ADP
ejpam-6001	340	6	susceptible	susceptible	ADJ
ejpam-6001	340	7	class	class	NOUN
ejpam-6001	340	8	is	be	AUX
ejpam-6001	340	9	shown	show	VERB
ejpam-6001	340	10	in	in	ADP
ejpam-6001	340	11	figure	figure	NOUN
ejpam-6001	340	12	3	3	NUM
ejpam-6001	340	13	.	.	PUNCT
ejpam-6001	340	14	further	far	ADV
ejpam-6001	340	15	,	,	PUNCT
ejpam-6001	340	16	the	the	DET
ejpam-6001	340	17	decline	decline	NOUN
ejpam-6001	340	18	in	in	ADP
ejpam-6001	340	19	exposed	expose	VERB
ejpam-6001	340	20	compartment	compartment	NOUN
ejpam-6001	340	21	is	be	AUX
ejpam-6001	340	22	shown	show	VERB
ejpam-6001	340	23	in	in	ADP
ejpam-6001	340	24	4	4	NUM
ejpam-6001	340	25	.	.	PUNCT
ejpam-6001	340	26	dynamical	dynamical	ADJ
ejpam-6001	340	27	behaviors	behavior	NOUN
ejpam-6001	340	28	of	of	ADP
ejpam-6001	340	29	strain	strain	NOUN
ejpam-6001	340	30	one	one	NUM
ejpam-6001	340	31	and	and	CCONJ
ejpam-6001	340	32	two	two	NUM
ejpam-6001	340	33	are	be	AUX
ejpam-6001	340	34	shown	show	VERB
ejpam-6001	340	35	in	in	ADP
ejpam-6001	340	36	figures	figure	NOUN
ejpam-6001	340	37	5	5	NUM
ejpam-6001	340	38	and	and	CCONJ
ejpam-6001	340	39	6	6	NUM
ejpam-6001	340	40	respectively	respectively	ADV
ejpam-6001	340	41	.	.	PUNCT
ejpam-6001	341	1	in	in	ADP
ejpam-6001	341	2	addition	addition	NOUN
ejpam-6001	341	3	,	,	PUNCT
ejpam-6001	341	4	the	the	DET
ejpam-6001	341	5	dynamical	dynamical	ADJ
ejpam-6001	341	6	growth	growth	NOUN
ejpam-6001	341	7	in	in	ADP
ejpam-6001	341	8	,	,	PUNCT
ejpam-6001	341	9	hospitalization	hospitalization	NOUN
ejpam-6001	341	10	,	,	PUNCT
ejpam-6001	341	11	recovered	recover	VERB
ejpam-6001	341	12	and	and	CCONJ
ejpam-6001	341	13	death	death	NOUN
ejpam-6001	341	14	class	class	NOUN
ejpam-6001	341	15	has	have	AUX
ejpam-6001	341	16	shown	show	VERB
ejpam-6001	341	17	in	in	ADP
ejpam-6001	341	18	figure	figure	NOUN
ejpam-6001	341	19	7	7	NUM
ejpam-6001	341	20	,	,	PUNCT
ejpam-6001	341	21	8	8	NUM
ejpam-6001	341	22	and	and	CCONJ
ejpam-6001	341	23	9	9	NUM
ejpam-6001	341	24	respectively	respectively	ADV
ejpam-6001	341	25	.	.	PUNCT
ejpam-6001	342	1	table	table	NOUN
ejpam-6001	342	2	2	2	NUM
ejpam-6001	342	3	provides	provide	VERB
ejpam-6001	342	4	the	the	DET
ejpam-6001	342	5	parameter	parameter	NOUN
ejpam-6001	342	6	values	value	NOUN
ejpam-6001	342	7	that	that	PRON
ejpam-6001	342	8	were	be	AUX
ejpam-6001	342	9	taken	take	VERB
ejpam-6001	342	10	into	into	ADP
ejpam-6001	342	11	consideration	consideration	NOUN
ejpam-6001	342	12	for	for	ADP
ejpam-6001	342	13	this	this	DET
ejpam-6001	342	14	numerical	numerical	ADJ
ejpam-6001	342	15	simulation	simulation	NOUN
ejpam-6001	342	16	.	.	PUNCT
ejpam-6001	343	1	we	we	PRON
ejpam-6001	343	2	select	select	VERB
ejpam-6001	343	3	the	the	DET
ejpam-6001	343	4	time	time	NOUN
ejpam-6001	343	5	unit	unit	NOUN
ejpam-6001	343	6	per	per	ADP
ejpam-6001	343	7	day	day	NOUN
ejpam-6001	343	8	for	for	ADP
ejpam-6001	343	9	this	this	DET
ejpam-6001	343	10	numerical	numerical	PROPN
ejpam-6001	343	11	simulation	simulation	PROPN
ejpam-6001	343	12	.	.	PUNCT
ejpam-6001	344	1	figures	figure	NOUN
ejpam-6001	344	2	3	3	NUM
ejpam-6001	344	3	to	to	PART
ejpam-6001	344	4	9	9	NUM
ejpam-6001	344	5	display	display	VERB
ejpam-6001	344	6	the	the	DET
ejpam-6001	344	7	simulation	simulation	NOUN
ejpam-6001	344	8	results	result	VERB
ejpam-6001	344	9	for	for	ADP
ejpam-6001	344	10	model	model	NOUN
ejpam-6001	344	11	(	(	PUNCT
ejpam-6001	344	12	1	1	NUM
ejpam-6001	344	13	)	)	PUNCT
ejpam-6001	344	14	.	.	PUNCT
ejpam-6001	345	1	the	the	DET
ejpam-6001	345	2	dynamics	dynamic	NOUN
ejpam-6001	345	3	of	of	ADP
ejpam-6001	345	4	the	the	DET
ejpam-6001	345	5	infected	infect	VERB
ejpam-6001	345	6	compartments	compartment	NOUN
ejpam-6001	345	7	with	with	ADP
ejpam-6001	345	8	varying	vary	VERB
ejpam-6001	345	9	values	value	NOUN
ejpam-6001	345	10	of	of	ADP
ejpam-6001	345	11	the	the	DET
ejpam-6001	345	12	parameter	parameter	NOUN
ejpam-6001	345	13	k	k	PROPN
ejpam-6001	345	14	are	be	AUX
ejpam-6001	345	15	depicted	depict	VERB
ejpam-6001	345	16	in	in	ADP
ejpam-6001	345	17	figure	figure	NOUN
ejpam-6001	345	18	3	3	NUM
ejpam-6001	345	19	and	and	CCONJ
ejpam-6001	345	20	its	its	PRON
ejpam-6001	345	21	subgraphs	subgraph	NOUN
ejpam-6001	345	22	.	.	PUNCT
ejpam-6001	346	1	as	as	SCONJ
ejpam-6001	346	2	contact	contact	NOUN
ejpam-6001	346	3	decreases	decrease	VERB
ejpam-6001	346	4	,	,	PUNCT
ejpam-6001	346	5	so	so	ADV
ejpam-6001	346	6	does	do	VERB
ejpam-6001	346	7	the	the	DET
ejpam-6001	346	8	number	number	NOUN
ejpam-6001	346	9	of	of	ADP
ejpam-6001	346	10	infected	infected	ADJ
ejpam-6001	346	11	people	people	NOUN
ejpam-6001	346	12	in	in	ADP
ejpam-6001	346	13	each	each	DET
ejpam-6001	346	14	compartment	compartment	NOUN
ejpam-6001	346	15	.	.	PUNCT
ejpam-6001	347	1	the	the	DET
ejpam-6001	347	2	m.	m.	NOUN
ejpam-6001	347	3	riaz	riaz	PROPN
ejpam-6001	347	4	et	et	PROPN
ejpam-6001	347	5	al	al	PROPN
ejpam-6001	347	6	.	.	PUNCT
ejpam-6001	347	7	/	/	SYM
ejpam-6001	347	8	eur	eur	PROPN
ejpam-6001	347	9	.	.	PUNCT
ejpam-6001	348	1	j.	j.	PROPN
ejpam-6001	348	2	pure	pure	PROPN
ejpam-6001	348	3	appl	appl	PROPN
ejpam-6001	348	4	.	.	PROPN
ejpam-6001	348	5	math	math	PROPN
ejpam-6001	348	6	,	,	PUNCT
ejpam-6001	348	7	18	18	NUM
ejpam-6001	348	8	(	(	PUNCT
ejpam-6001	348	9	2	2	NUM
ejpam-6001	348	10	)	)	PUNCT
ejpam-6001	348	11	(	(	PUNCT
ejpam-6001	348	12	2025	2025	NUM
ejpam-6001	348	13	)	)	PUNCT
ejpam-6001	348	14	,	,	PUNCT
ejpam-6001	348	15	6001	6001	NUM
ejpam-6001	348	16	18	18	NUM
ejpam-6001	348	17	of	of	ADP
ejpam-6001	348	18	27	27	NUM
ejpam-6001	348	19	numerical	numerical	ADJ
ejpam-6001	348	20	simulation	simulation	NOUN
ejpam-6001	348	21	indicates	indicate	VERB
ejpam-6001	348	22	that	that	SCONJ
ejpam-6001	348	23	minimizing	minimize	VERB
ejpam-6001	348	24	contact	contact	NOUN
ejpam-6001	348	25	between	between	ADP
ejpam-6001	348	26	healthy	healthy	ADJ
ejpam-6001	348	27	individuals	individual	NOUN
ejpam-6001	348	28	infected	infect	VERB
ejpam-6001	348	29	with	with	ADP
ejpam-6001	348	30	strains	strain	NOUN
ejpam-6001	348	31	1	1	NUM
ejpam-6001	348	32	and	and	CCONJ
ejpam-6001	348	33	2	2	NUM
ejpam-6001	348	34	is	be	AUX
ejpam-6001	348	35	necessary	necessary	ADJ
ejpam-6001	348	36	to	to	PART
ejpam-6001	348	37	reduce	reduce	VERB
ejpam-6001	348	38	the	the	DET
ejpam-6001	348	39	number	number	NOUN
ejpam-6001	348	40	of	of	ADP
ejpam-6001	348	41	infected	infected	ADJ
ejpam-6001	348	42	cases	case	NOUN
ejpam-6001	348	43	within	within	ADP
ejpam-6001	348	44	the	the	DET
ejpam-6001	348	45	community	community	NOUN
ejpam-6001	348	46	.	.	PUNCT
ejpam-6001	349	1	both	both	PRON
ejpam-6001	349	2	strain	strain	VERB
ejpam-6001	349	3	1	1	NUM
ejpam-6001	349	4	and	and	CCONJ
ejpam-6001	349	5	strain	strain	VERB
ejpam-6001	349	6	2	2	NUM
ejpam-6001	349	7	infected	infect	VERB
ejpam-6001	349	8	people	people	NOUN
ejpam-6001	349	9	can	can	AUX
ejpam-6001	349	10	spread	spread	VERB
ejpam-6001	349	11	the	the	DET
ejpam-6001	349	12	infection	infection	NOUN
ejpam-6001	349	13	to	to	ADP
ejpam-6001	349	14	other	other	ADJ
ejpam-6001	349	15	exposed	expose	VERB
ejpam-6001	349	16	people	people	NOUN
ejpam-6001	349	17	who	who	PRON
ejpam-6001	349	18	show	show	VERB
ejpam-6001	349	19	any	any	DET
ejpam-6001	349	20	symptoms	symptom	NOUN
ejpam-6001	349	21	of	of	ADP
ejpam-6001	349	22	the	the	DET
ejpam-6001	349	23	disease	disease	NOUN
ejpam-6001	349	24	.	.	PUNCT
ejpam-6001	350	1	owing	owe	VERB
ejpam-6001	350	2	to	to	ADP
ejpam-6001	350	3	the	the	DET
ejpam-6001	350	4	strain	strain	ADJ
ejpam-6001	350	5	1	1	NUM
ejpam-6001	350	6	virus	virus	NOUN
ejpam-6001	350	7	’s	’s	PART
ejpam-6001	350	8	easy	easy	ADJ
ejpam-6001	350	9	and	and	CCONJ
ejpam-6001	350	10	high	high	ADJ
ejpam-6001	350	11	rate	rate	NOUN
ejpam-6001	350	12	of	of	ADP
ejpam-6001	350	13	transmission	transmission	NOUN
ejpam-6001	350	14	from	from	ADP
ejpam-6001	350	15	an	an	DET
ejpam-6001	350	16	infected	infected	ADJ
ejpam-6001	350	17	person	person	NOUN
ejpam-6001	350	18	,	,	PUNCT
ejpam-6001	350	19	it	it	PRON
ejpam-6001	350	20	is	be	AUX
ejpam-6001	350	21	thought	think	VERB
ejpam-6001	350	22	to	to	PART
ejpam-6001	350	23	be	be	AUX
ejpam-6001	350	24	more	more	ADV
ejpam-6001	350	25	harmful	harmful	ADJ
ejpam-6001	350	26	.	.	PUNCT
ejpam-6001	351	1	the	the	PRON
ejpam-6001	351	2	who	who	PRON
ejpam-6001	351	3	’s	’	VERB
ejpam-6001	351	4	recommendations	recommendation	NOUN
ejpam-6001	351	5	can	can	AUX
ejpam-6001	351	6	help	help	VERB
ejpam-6001	351	7	prevent	prevent	VERB
ejpam-6001	351	8	infection	infection	NOUN
ejpam-6001	351	9	by	by	ADP
ejpam-6001	351	10	reducing	reduce	VERB
ejpam-6001	351	11	the	the	DET
ejpam-6001	351	12	number	number	NOUN
ejpam-6001	351	13	of	of	ADP
ejpam-6001	351	14	instances	instance	NOUN
ejpam-6001	351	15	of	of	ADP
ejpam-6001	351	16	disease	disease	NOUN
ejpam-6001	351	17	.	.	PUNCT
ejpam-6001	352	1	the	the	DET
ejpam-6001	352	2	infected	infected	ADJ
ejpam-6001	352	3	compartments	compartment	NOUN
ejpam-6001	352	4	and	and	CCONJ
ejpam-6001	352	5	different	different	ADJ
ejpam-6001	352	6	values	value	NOUN
ejpam-6001	352	7	of	of	ADP
ejpam-6001	352	8	the	the	DET
ejpam-6001	352	9	parameter	parameter	NOUN
ejpam-6001	352	10	ϕ	ϕ	PROPN
ejpam-6001	352	11	are	be	AUX
ejpam-6001	352	12	displayed	display	VERB
ejpam-6001	352	13	in	in	ADP
ejpam-6001	352	14	figure	figure	NOUN
ejpam-6001	352	15	5	5	NUM
ejpam-6001	352	16	.	.	PUNCT
ejpam-6001	353	1	as	as	SCONJ
ejpam-6001	353	2	the	the	DET
ejpam-6001	353	3	ϕ	ϕ	PROPN
ejpam-6001	353	4	value	value	NOUN
ejpam-6001	353	5	declines	decline	VERB
ejpam-6001	353	6	,	,	PUNCT
ejpam-6001	353	7	the	the	DET
ejpam-6001	353	8	number	number	NOUN
ejpam-6001	353	9	of	of	ADP
ejpam-6001	353	10	afflicted	afflict	VERB
ejpam-6001	353	11	individuals	individual	NOUN
ejpam-6001	353	12	also	also	ADV
ejpam-6001	353	13	gradually	gradually	ADV
ejpam-6001	353	14	declines	decline	VERB
ejpam-6001	353	15	.	.	PUNCT
ejpam-6001	354	1	to	to	PART
ejpam-6001	354	2	stop	stop	VERB
ejpam-6001	354	3	other	other	ADJ
ejpam-6001	354	4	healthy	healthy	ADJ
ejpam-6001	354	5	people	people	NOUN
ejpam-6001	354	6	from	from	ADP
ejpam-6001	354	7	limiting	limit	VERB
ejpam-6001	354	8	the	the	DET
ejpam-6001	354	9	disease	disease	NOUN
ejpam-6001	354	10	’s	’s	PART
ejpam-6001	354	11	spread	spread	NOUN
ejpam-6001	354	12	,	,	PUNCT
ejpam-6001	354	13	those	those	PRON
ejpam-6001	354	14	who	who	PRON
ejpam-6001	354	15	exhibit	exhibit	VERB
ejpam-6001	354	16	clinical	clinical	ADJ
ejpam-6001	354	17	signs	sign	NOUN
ejpam-6001	354	18	should	should	AUX
ejpam-6001	354	19	be	be	AUX
ejpam-6001	354	20	admitted	admit	VERB
ejpam-6001	354	21	to	to	ADP
ejpam-6001	354	22	the	the	DET
ejpam-6001	354	23	hospital	hospital	NOUN
ejpam-6001	354	24	.	.	PUNCT
ejpam-6001	355	1	the	the	DET
ejpam-6001	355	2	spread	spread	NOUN
ejpam-6001	355	3	of	of	ADP
ejpam-6001	355	4	strain	strain	ADJ
ejpam-6001	355	5	1	1	NUM
ejpam-6001	355	6	infections	infection	NOUN
ejpam-6001	355	7	among	among	ADP
ejpam-6001	355	8	those	those	PRON
ejpam-6001	355	9	who	who	PRON
ejpam-6001	355	10	do	do	AUX
ejpam-6001	355	11	not	not	PART
ejpam-6001	355	12	exhibit	exhibit	VERB
ejpam-6001	355	13	any	any	DET
ejpam-6001	355	14	clinical	clinical	ADJ
ejpam-6001	355	15	symptoms	symptom	NOUN
ejpam-6001	355	16	is	be	AUX
ejpam-6001	355	17	the	the	DET
ejpam-6001	355	18	most	most	ADV
ejpam-6001	355	19	critical	critical	ADJ
ejpam-6001	355	20	,	,	PUNCT
ejpam-6001	355	21	and	and	CCONJ
ejpam-6001	355	22	limiting	limit	VERB
ejpam-6001	355	23	the	the	DET
ejpam-6001	355	24	contacts	contact	NOUN
ejpam-6001	355	25	of	of	ADP
ejpam-6001	355	26	those	those	PRON
ejpam-6001	355	27	who	who	PRON
ejpam-6001	355	28	are	be	AUX
ejpam-6001	355	29	infected	infect	VERB
ejpam-6001	355	30	with	with	ADP
ejpam-6001	355	31	other	other	ADJ
ejpam-6001	355	32	members	member	NOUN
ejpam-6001	355	33	of	of	ADP
ejpam-6001	355	34	the	the	DET
ejpam-6001	355	35	community	community	NOUN
ejpam-6001	355	36	should	should	AUX
ejpam-6001	355	37	be	be	AUX
ejpam-6001	355	38	the	the	DET
ejpam-6001	355	39	first	first	ADJ
ejpam-6001	355	40	goal	goal	NOUN
ejpam-6001	355	41	in	in	ADP
ejpam-6001	355	42	order	order	NOUN
ejpam-6001	355	43	to	to	PART
ejpam-6001	355	44	prevent	prevent	VERB
ejpam-6001	355	45	this	this	DET
ejpam-6001	355	46	spread	spread	NOUN
ejpam-6001	355	47	.	.	PUNCT
ejpam-6001	356	1	figures	figure	NOUN
ejpam-6001	356	2	6	6	NUM
ejpam-6001	356	3	and	and	CCONJ
ejpam-6001	356	4	7	7	NUM
ejpam-6001	356	5	illustrate	illustrate	VERB
ejpam-6001	356	6	how	how	SCONJ
ejpam-6001	356	7	the	the	DET
ejpam-6001	356	8	parameters	parameter	NOUN
ejpam-6001	356	9	η	η	PROPN
ejpam-6001	356	10	and	and	CCONJ
ejpam-6001	356	11	h0	h0	PROPN
ejpam-6001	356	12	affect	affect	VERB
ejpam-6001	356	13	the	the	DET
ejpam-6001	356	14	model	model	NOUN
ejpam-6001	356	15	’s	’s	PART
ejpam-6001	356	16	infected	infect	VERB
ejpam-6001	356	17	compartments	compartment	NOUN
ejpam-6001	356	18	.	.	PUNCT
ejpam-6001	357	1	from	from	ADP
ejpam-6001	357	2	the	the	DET
ejpam-6001	357	3	data	datum	NOUN
ejpam-6001	357	4	shown	show	VERB
ejpam-6001	357	5	in	in	ADP
ejpam-6001	357	6	figs	fig	NOUN
ejpam-6001	357	7	.	.	PUNCT
ejpam-6001	357	8	8	8	NUM
ejpam-6001	357	9	and	and	CCONJ
ejpam-6001	357	10	9	9	NUM
ejpam-6001	357	11	,	,	PUNCT
ejpam-6001	357	12	it	it	PRON
ejpam-6001	357	13	is	be	AUX
ejpam-6001	357	14	evident	evident	ADJ
ejpam-6001	357	15	that	that	SCONJ
ejpam-6001	357	16	as	as	SCONJ
ejpam-6001	357	17	the	the	DET
ejpam-6001	357	18	parameters	parameter	NOUN
ejpam-6001	357	19	’	’	PART
ejpam-6001	357	20	values	value	NOUN
ejpam-6001	357	21	decreased	decrease	VERB
ejpam-6001	357	22	,	,	PUNCT
ejpam-6001	357	23	so	so	ADV
ejpam-6001	357	24	did	do	VERB
ejpam-6001	357	25	the	the	DET
ejpam-6001	357	26	individuals	individual	NOUN
ejpam-6001	357	27	’	’	PART
ejpam-6001	357	28	infected	infect	VERB
ejpam-6001	357	29	compartments	compartment	NOUN
ejpam-6001	357	30	.	.	PUNCT
ejpam-6001	358	1	7	7	X
ejpam-6001	358	2	.	.	X
ejpam-6001	358	3	numerical	numerical	ADJ
ejpam-6001	358	4	analysis	analysis	NOUN
ejpam-6001	358	5	through	through	ADP
ejpam-6001	358	6	fractional	fractional	ADJ
ejpam-6001	358	7	calculus	calculus	NOUN
ejpam-6001	358	8	in	in	ADP
ejpam-6001	358	9	this	this	DET
ejpam-6001	358	10	section	section	NOUN
ejpam-6001	358	11	of	of	ADP
ejpam-6001	358	12	our	our	PRON
ejpam-6001	358	13	work	work	NOUN
ejpam-6001	358	14	,	,	PUNCT
ejpam-6001	358	15	we	we	PRON
ejpam-6001	358	16	use	use	VERB
ejpam-6001	358	17	fractional	fractional	ADJ
ejpam-6001	358	18	calculus	calculus	NOUN
ejpam-6001	358	19	to	to	PART
ejpam-6001	358	20	explore	explore	VERB
ejpam-6001	358	21	the	the	DET
ejpam-6001	358	22	covid-19	covid-19	PROPN
ejpam-6001	358	23	model	model	NOUN
ejpam-6001	358	24	(	(	PUNCT
ejpam-6001	358	25	1	1	NUM
ejpam-6001	358	26	)	)	PUNCT
ejpam-6001	358	27	.	.	PUNCT
ejpam-6001	359	1	here	here	ADV
ejpam-6001	359	2	,	,	PUNCT
ejpam-6001	359	3	we	we	PRON
ejpam-6001	359	4	recall	recall	VERB
ejpam-6001	359	5	fractional	fractional	ADJ
ejpam-6001	359	6	derivative	derivative	ADJ
ejpam-6001	359	7	and	and	CCONJ
ejpam-6001	359	8	integral	integral	ADJ
ejpam-6001	359	9	[	[	X
ejpam-6001	359	10	52	52	NUM
ejpam-6001	359	11	]	]	PUNCT
ejpam-6001	359	12	as	as	ADP
ejpam-6001	359	13	:	:	PUNCT
ejpam-6001	359	14	definition	definition	NOUN
ejpam-6001	359	15	1	1	NUM
ejpam-6001	359	16	.	.	PUNCT
ejpam-6001	360	1	a	a	DET
ejpam-6001	360	2	function	function	NOUN
ejpam-6001	360	3	s	s	VERB
ejpam-6001	360	4	:	:	PUNCT
ejpam-6001	360	5	[	[	X
ejpam-6001	360	6	0,∞	0,∞	NOUN
ejpam-6001	360	7	)	)	PUNCT
ejpam-6001	360	8	→	→	PUNCT
ejpam-6001	360	9	r	r	NOUN
ejpam-6001	360	10	is	be	AUX
ejpam-6001	360	11	define	define	VERB
ejpam-6001	360	12	with	with	ADP
ejpam-6001	360	13	fractional	fractional	ADJ
ejpam-6001	360	14	order	order	NOUN
ejpam-6001	360	15	integral	integral	ADJ
ejpam-6001	360	16	χ	χ	X
ejpam-6001	360	17	>	>	X
ejpam-6001	360	18	0	0	PUNCT
ejpam-6001	360	19	as	as	ADP
ejpam-6001	360	20	iφt	iφt	PROPN
ejpam-6001	360	21	s(t	s(t	PROPN
ejpam-6001	360	22	)	)	PUNCT
ejpam-6001	360	23	=	=	PUNCT
ejpam-6001	361	1	1	1	NUM
ejpam-6001	361	2	β(γ	β(γ	NOUN
ejpam-6001	361	3	)	)	PUNCT
ejpam-6001	362	1	∫	∫	PROPN
ejpam-6001	362	2	t	t	PROPN
ejpam-6001	362	3	0	0	NUM
ejpam-6001	362	4	s(α	s(α	NOUN
ejpam-6001	362	5	)	)	PUNCT
ejpam-6001	362	6	(	(	PUNCT
ejpam-6001	362	7	t−	t−	DET
ejpam-6001	362	8	α)1−γ	α)1−γ	NOUN
ejpam-6001	362	9	dα	dα	NOUN
ejpam-6001	362	10	,	,	PUNCT
ejpam-6001	362	11	provided	provide	VERB
ejpam-6001	362	12	the	the	DET
ejpam-6001	362	13	integral	integral	ADJ
ejpam-6001	362	14	exists	exist	NOUN
ejpam-6001	362	15	at	at	ADP
ejpam-6001	362	16	the	the	DET
ejpam-6001	362	17	right	right	ADJ
ejpam-6001	362	18	sides	side	NOUN
ejpam-6001	362	19	.	.	PUNCT
ejpam-6001	363	1	moreover	moreover	ADV
ejpam-6001	363	2	,	,	PUNCT
ejpam-6001	363	3	by	by	ADP
ejpam-6001	363	4	definition	definition	NOUN
ejpam-6001	363	5	of	of	ADP
ejpam-6001	363	6	caputo	caputo	PROPN
ejpam-6001	363	7	,	,	PUNCT
ejpam-6001	363	8	we	we	PRON
ejpam-6001	363	9	have	have	VERB
ejpam-6001	363	10	dγ	dγ	ADP
ejpam-6001	363	11	0+s(t	0+s(t	ADJ
ejpam-6001	363	12	)	)	PUNCT
ejpam-6001	364	1	=	=	SYM
ejpam-6001	364	2			NUM
ejpam-6001	364	3	1	1	NUM
ejpam-6001	364	4	β(1−	β(1−	SYM
ejpam-6001	364	5	γ	γ	X
ejpam-6001	364	6	)	)	PUNCT
ejpam-6001	364	7	∫	∫	PROPN
ejpam-6001	364	8	t	t	PROPN
ejpam-6001	364	9	0	0	NUM
ejpam-6001	364	10	(	(	PUNCT
ejpam-6001	364	11	t−	t−	PROPN
ejpam-6001	364	12	α)−γs	α)−γs	PROPN
ejpam-6001	364	13	′	′	X
ejpam-6001	364	14	(	(	PUNCT
ejpam-6001	364	15	α)dη	α)dη	PROPN
ejpam-6001	364	16	,	,	PUNCT
ejpam-6001	364	17	0	0	NUM
ejpam-6001	364	18	<	<	X
ejpam-6001	364	19	γ	γ	X
ejpam-6001	364	20	≤	≤	NOUN
ejpam-6001	364	21	1	1	NUM
ejpam-6001	364	22	,	,	PUNCT
ejpam-6001	364	23	ds	ds	ADJ
ejpam-6001	364	24	dt	dt	X
ejpam-6001	364	25	,	,	PUNCT
ejpam-6001	364	26	γ	γ	X
ejpam-6001	364	27	=	=	SYM
ejpam-6001	364	28	1	1	X
ejpam-6001	364	29	.	.	X
ejpam-6001	365	1	for	for	ADP
ejpam-6001	365	2	fractional	fractional	ADJ
ejpam-6001	365	3	order	order	NOUN
ejpam-6001	365	4	dγ	dγ	ADP
ejpam-6001	365	5	tx	tx	PROPN
ejpam-6001	365	6	(	(	PUNCT
ejpam-6001	365	7	t	t	PROPN
ejpam-6001	365	8	)	)	PUNCT
ejpam-6001	365	9	=	=	PUNCT
ejpam-6001	365	10	h(t	h(t	PROPN
ejpam-6001	365	11	,	,	PUNCT
ejpam-6001	365	12	x	x	PROPN
ejpam-6001	365	13	(	(	PUNCT
ejpam-6001	365	14	t	t	PROPN
ejpam-6001	365	15	)	)	PUNCT
ejpam-6001	365	16	)	)	PUNCT
ejpam-6001	365	17	,	,	PUNCT
ejpam-6001	365	18	x	x	X
ejpam-6001	365	19	(	(	PUNCT
ejpam-6001	365	20	0	0	NUM
ejpam-6001	365	21	)	)	PUNCT
ejpam-6001	365	22	=	=	SYM
ejpam-6001	365	23	x0	x0	PROPN
ejpam-6001	365	24	.	.	PUNCT
ejpam-6001	366	1	(	(	PUNCT
ejpam-6001	366	2	24	24	NUM
ejpam-6001	366	3	)	)	PUNCT
ejpam-6001	366	4	where	where	SCONJ
ejpam-6001	366	5	x	x	X
ejpam-6001	366	6	=	=	PRON
ejpam-6001	366	7	(	(	PUNCT
ejpam-6001	366	8	s	s	X
ejpam-6001	366	9	,	,	PUNCT
ejpam-6001	366	10	e	e	NOUN
ejpam-6001	366	11	,	,	PUNCT
ejpam-6001	366	12	i1	i1	PROPN
ejpam-6001	366	13	,	,	PUNCT
ejpam-6001	366	14	i2,h	i2,h	PROPN
ejpam-6001	366	15	,	,	PUNCT
ejpam-6001	366	16	r	r	NOUN
ejpam-6001	366	17	,	,	PUNCT
ejpam-6001	366	18	d	d	NOUN
ejpam-6001	366	19	)	)	PUNCT
ejpam-6001	366	20	and	and	CCONJ
ejpam-6001	366	21	x0	x0	NUM
ejpam-6001	366	22	=	=	SYM
ejpam-6001	366	23	(	(	PUNCT
ejpam-6001	366	24	s0,e0	s0,e0	PROPN
ejpam-6001	366	25	,	,	PUNCT
ejpam-6001	366	26	i10	i10	PROPN
ejpam-6001	366	27	,	,	PUNCT
ejpam-6001	366	28	i20	i20	PROPN
ejpam-6001	366	29	,	,	PUNCT
ejpam-6001	366	30	h0,r0,d0	h0,r0,d0	NOUN
ejpam-6001	366	31	)	)	PUNCT
ejpam-6001	366	32	.	.	PUNCT
ejpam-6001	367	1	m.	m.	NOUN
ejpam-6001	367	2	riaz	riaz	PROPN
ejpam-6001	367	3	et	et	PROPN
ejpam-6001	367	4	al	al	PROPN
ejpam-6001	367	5	.	.	PUNCT
ejpam-6001	367	6	/	/	SYM
ejpam-6001	367	7	eur	eur	PROPN
ejpam-6001	367	8	.	.	PUNCT
ejpam-6001	368	1	j.	j.	PROPN
ejpam-6001	368	2	pure	pure	PROPN
ejpam-6001	368	3	appl	appl	PROPN
ejpam-6001	368	4	.	.	PROPN
ejpam-6001	368	5	math	math	PROPN
ejpam-6001	368	6	,	,	PUNCT
ejpam-6001	368	7	18	18	NUM
ejpam-6001	368	8	(	(	PUNCT
ejpam-6001	368	9	2	2	NUM
ejpam-6001	368	10	)	)	PUNCT
ejpam-6001	368	11	(	(	PUNCT
ejpam-6001	368	12	2025	2025	NUM
ejpam-6001	368	13	)	)	PUNCT
ejpam-6001	368	14	,	,	PUNCT
ejpam-6001	368	15	6001	6001	NUM
ejpam-6001	368	16	19	19	NUM
ejpam-6001	368	17	of	of	ADP
ejpam-6001	368	18	27	27	NUM
ejpam-6001	368	19	then	then	ADV
ejpam-6001	368	20	using	use	VERB
ejpam-6001	368	21	the	the	DET
ejpam-6001	368	22	generalized	generalized	ADJ
ejpam-6001	368	23	form	form	NOUN
ejpam-6001	368	24	of	of	ADP
ejpam-6001	368	25	taylor	taylor	PROPN
ejpam-6001	368	26	series	series	PROPN
ejpam-6001	368	27	is	be	AUX
ejpam-6001	368	28	follow	follow	VERB
ejpam-6001	368	29	x	x	SYM
ejpam-6001	368	30	(	(	PUNCT
ejpam-6001	368	31	t+	t+	NOUN
ejpam-6001	368	32	h	h	NOUN
ejpam-6001	368	33	)	)	PUNCT
ejpam-6001	368	34	=	=	SYM
ejpam-6001	369	1	x	x	X
ejpam-6001	369	2	(	(	PUNCT
ejpam-6001	369	3	t	t	PROPN
ejpam-6001	369	4	)	)	PUNCT
ejpam-6001	369	5	+	+	CCONJ
ejpam-6001	369	6	hγ	hγ	PRON
ejpam-6001	369	7	α(γ	α(γ	NOUN
ejpam-6001	369	8	+	+	CCONJ
ejpam-6001	369	9	1	1	X
ejpam-6001	369	10	)	)	PUNCT
ejpam-6001	369	11	dγ	dγ	ADP
ejpam-6001	369	12	tx	tx	PROPN
ejpam-6001	369	13	(	(	PUNCT
ejpam-6001	369	14	t	t	PROPN
ejpam-6001	369	15	)	)	PUNCT
ejpam-6001	369	16	+	+	CCONJ
ejpam-6001	369	17	h2γ	h2γ	PROPN
ejpam-6001	369	18	χ(2γ	χ(2γ	PUNCT
ejpam-6001	370	1	+	+	CCONJ
ejpam-6001	370	2	1	1	X
ejpam-6001	370	3	)	)	PUNCT
ejpam-6001	370	4	d2γ	d2γ	NOUN
ejpam-6001	370	5	t	t	PROPN
ejpam-6001	370	6	t(t	t(t	NOUN
ejpam-6001	370	7	)	)	PUNCT
ejpam-6001	371	1	+	+	CCONJ
ejpam-6001	371	2	...	...	PUNCT
ejpam-6001	371	3	(	(	PUNCT
ejpam-6001	371	4	25	25	NUM
ejpam-6001	371	5	)	)	PUNCT
ejpam-6001	371	6	by	by	ADP
ejpam-6001	371	7	using	use	VERB
ejpam-6001	371	8	fractional	fractional	ADJ
ejpam-6001	371	9	calculus	calculus	NOUN
ejpam-6001	371	10	results	result	NOUN
ejpam-6001	371	11	,	,	PUNCT
ejpam-6001	371	12	we	we	PRON
ejpam-6001	371	13	have	have	VERB
ejpam-6001	371	14	d2γ	d2γ	NOUN
ejpam-6001	371	15	t	t	NOUN
ejpam-6001	371	16	x	x	X
ejpam-6001	371	17	=	=	PUNCT
ejpam-6001	371	18	dγ	dγ	NOUN
ejpam-6001	371	19	th(t	th(t	NUM
ejpam-6001	371	20	,	,	PUNCT
ejpam-6001	371	21	x	x	PUNCT
ejpam-6001	371	22	)	)	PUNCT
ejpam-6001	372	1	+	+	CCONJ
ejpam-6001	372	2	h(t	h(t	PROPN
ejpam-6001	372	3	,	,	PUNCT
ejpam-6001	372	4	x	x	X
ejpam-6001	372	5	)	)	PUNCT
ejpam-6001	372	6	dγ	dγ	ADP
ejpam-6001	372	7	xh(t	xh(t	PROPN
ejpam-6001	372	8	,	,	PUNCT
ejpam-6001	372	9	x	x	X
ejpam-6001	372	10	)	)	PUNCT
ejpam-6001	372	11	.	.	PUNCT
ejpam-6001	373	1	used	use	VERB
ejpam-6001	373	2	(	(	PUNCT
ejpam-6001	373	3	25	25	NUM
ejpam-6001	373	4	)	)	PUNCT
ejpam-6001	373	5	,	,	PUNCT
ejpam-6001	373	6	and	and	CCONJ
ejpam-6001	373	7	some	some	DET
ejpam-6001	373	8	rearrangements	rearrangement	NOUN
ejpam-6001	373	9	,	,	PUNCT
ejpam-6001	373	10	we	we	PRON
ejpam-6001	373	11	have	have	VERB
ejpam-6001	373	12	,	,	PUNCT
ejpam-6001	373	13	x	x	X
ejpam-6001	373	14	(	(	PUNCT
ejpam-6001	373	15	t+	t+	NOUN
ejpam-6001	373	16	h	h	NOUN
ejpam-6001	373	17	)	)	PUNCT
ejpam-6001	373	18	=	=	SYM
ejpam-6001	374	1	x	x	X
ejpam-6001	374	2	(	(	PUNCT
ejpam-6001	374	3	t	t	PROPN
ejpam-6001	374	4	)	)	PUNCT
ejpam-6001	374	5	+	+	CCONJ
ejpam-6001	374	6	hγ	hγ	PRON
ejpam-6001	374	7	α(γ	α(γ	NOUN
ejpam-6001	374	8	+	+	CCONJ
ejpam-6001	374	9	1	1	X
ejpam-6001	374	10	)	)	PUNCT
ejpam-6001	374	11	h(t	h(t	PROPN
ejpam-6001	374	12	,	,	PUNCT
ejpam-6001	374	13	x	x	X
ejpam-6001	374	14	(	(	PUNCT
ejpam-6001	374	15	t	t	PROPN
ejpam-6001	374	16	)	)	PUNCT
ejpam-6001	374	17	)	)	PUNCT
ejpam-6001	375	1	+	+	CCONJ
ejpam-6001	375	2	hγ	hγ	DET
ejpam-6001	375	3	2α(γ	2α(γ	NUM
ejpam-6001	375	4	+	+	CCONJ
ejpam-6001	375	5	1	1	X
ejpam-6001	375	6	)	)	PUNCT
ejpam-6001	375	7	[	[	PUNCT
ejpam-6001	375	8	p1	p1	NOUN
ejpam-6001	375	9	+	+	NOUN
ejpam-6001	375	10	p2	p2	PROPN
ejpam-6001	375	11	]	]	PUNCT
ejpam-6001	375	12	,	,	PUNCT
ejpam-6001	375	13	(	(	PUNCT
ejpam-6001	375	14	26	26	NUM
ejpam-6001	375	15	)	)	PUNCT
ejpam-6001	375	16	where	where	SCONJ
ejpam-6001	375	17	p1	p1	PROPN
ejpam-6001	375	18	=	=	SYM
ejpam-6001	375	19	h(tj	h(tj	PROPN
ejpam-6001	375	20	,	,	PUNCT
ejpam-6001	375	21	xj(tj	xj(tj	PROPN
ejpam-6001	375	22	)	)	PUNCT
ejpam-6001	375	23	)	)	PUNCT
ejpam-6001	375	24	,	,	PUNCT
ejpam-6001	375	25	p2	p2	PROPN
ejpam-6001	375	26	=	=	SYM
ejpam-6001	375	27	h	h	NOUN
ejpam-6001	375	28	(	(	PUNCT
ejpam-6001	375	29	tj	tj	X
ejpam-6001	375	30	+	+	NOUN
ejpam-6001	375	31	2hγα(γ	2hγα(γ	NUM
ejpam-6001	375	32	+	+	CCONJ
ejpam-6001	375	33	1	1	NUM
ejpam-6001	375	34	)	)	PUNCT
ejpam-6001	375	35	α(2γ	α(2γ	NOUN
ejpam-6001	375	36	+	+	CCONJ
ejpam-6001	375	37	1	1	NUM
ejpam-6001	375	38	)	)	PUNCT
ejpam-6001	375	39	,	,	PUNCT
ejpam-6001	375	40	x	x	X
ejpam-6001	375	41	(	(	PUNCT
ejpam-6001	375	42	tj	tj	NOUN
ejpam-6001	375	43	)	)	PUNCT
ejpam-6001	375	44	+	+	NOUN
ejpam-6001	375	45	2hγα(γ	2hγα(γ	NUM
ejpam-6001	375	46	+	+	CCONJ
ejpam-6001	375	47	1	1	NUM
ejpam-6001	375	48	)	)	PUNCT
ejpam-6001	375	49	α(2γ	α(2γ	NOUN
ejpam-6001	376	1	+	+	CCONJ
ejpam-6001	376	2	1	1	X
ejpam-6001	376	3	)	)	PUNCT
ejpam-6001	376	4	h	h	NOUN
ejpam-6001	376	5	(	(	PUNCT
ejpam-6001	376	6	tj	tj	NOUN
ejpam-6001	376	7	,	,	PUNCT
ejpam-6001	376	8	xj(tj	xj(tj	PROPN
ejpam-6001	376	9	)	)	PUNCT
ejpam-6001	376	10	)	)	PUNCT
ejpam-6001	376	11	)	)	PUNCT
ejpam-6001	376	12	.	.	PUNCT
ejpam-6001	377	1	here	here	ADV
ejpam-6001	377	2	we	we	PRON
ejpam-6001	377	3	present	present	VERB
ejpam-6001	377	4	the	the	DET
ejpam-6001	377	5	numerical	numerical	ADJ
ejpam-6001	377	6	illustration	illustration	NOUN
ejpam-6001	377	7	against	against	ADP
ejpam-6001	377	8	fractional	fractional	ADJ
ejpam-6001	377	9	orders	order	NOUN
ejpam-6001	377	10	taken	take	VERB
ejpam-6001	377	11	as	as	ADP
ejpam-6001	377	12	0.6	0.6	NUM
ejpam-6001	377	13	,	,	PUNCT
ejpam-6001	377	14	0.62	0.62	NUM
ejpam-6001	377	15	,	,	PUNCT
ejpam-6001	377	16	...	...	PUNCT
ejpam-6001	377	17	,	,	PUNCT
ejpam-6001	377	18	1.0	1.0	NUM
ejpam-6001	377	19	in	in	ADP
ejpam-6001	377	20	figures	figure	NOUN
ejpam-6001	377	21	10	10	NUM
ejpam-6001	377	22	-	-	SYM
ejpam-6001	377	23	16	16	NUM
ejpam-6001	377	24	respectively	respectively	ADV
ejpam-6001	377	25	time	time	NOUN
ejpam-6001	377	26	(	(	PUNCT
ejpam-6001	377	27	days	day	NOUN
ejpam-6001	377	28	)	)	PUNCT
ejpam-6001	377	29	0	0	NUM
ejpam-6001	377	30	50	50	NUM
ejpam-6001	377	31	100	100	NUM
ejpam-6001	377	32	150	150	NUM
ejpam-6001	377	33	200	200	NUM
ejpam-6001	377	34	250	250	NUM
ejpam-6001	377	35	p	p	NOUN
ejpam-6001	377	36	op	op	NOUN
ejpam-6001	377	37	ul	ul	NOUN
ejpam-6001	377	38	at	at	ADP
ejpam-6001	377	39	io	io	PROPN
ejpam-6001	377	40	n	n	PROPN
ejpam-6001	377	41	d	d	X
ejpam-6001	377	42	en	en	X
ejpam-6001	377	43	si	si	PROPN
ejpam-6001	378	1	ty	ty	INTJ
ejpam-6001	379	1	o	o	X
ejpam-6001	379	2	f	f	X
ejpam-6001	379	3	s	s	VERB
ejpam-6001	379	4	us	us	PROPN
ejpam-6001	379	5	ce	ce	PROPN
ejpam-6001	379	6	pt	pt	X
ejpam-6001	379	7	ib	ib	PROPN
ejpam-6001	379	8	le	le	X
ejpam-6001	379	9	0	0	NUM
ejpam-6001	379	10	10	10	NUM
ejpam-6001	379	11	20	20	NUM
ejpam-6001	379	12	30	30	NUM
ejpam-6001	379	13	40	40	NUM
ejpam-6001	379	14	50	50	NUM
ejpam-6001	379	15	60	60	NUM
ejpam-6001	379	16	70	70	NUM
ejpam-6001	379	17	figure	figure	NOUN
ejpam-6001	379	18	10	10	NUM
ejpam-6001	379	19	:	:	PUNCT
ejpam-6001	379	20	plot	plot	NOUN
ejpam-6001	379	21	of	of	ADP
ejpam-6001	379	22	numerical	numerical	ADJ
ejpam-6001	379	23	solutions	solution	NOUN
ejpam-6001	379	24	for	for	ADP
ejpam-6001	379	25	the	the	DET
ejpam-6001	379	26	susceptible	susceptible	ADJ
ejpam-6001	379	27	class	class	NOUN
ejpam-6001	379	28	of	of	ADP
ejpam-6001	379	29	the	the	DET
ejpam-6001	379	30	proposed	propose	VERB
ejpam-6001	379	31	model	model	NOUN
ejpam-6001	379	32	(	(	PUNCT
ejpam-6001	379	33	1	1	NUM
ejpam-6001	379	34	)	)	PUNCT
ejpam-6001	379	35	for	for	ADP
ejpam-6001	379	36	various	various	ADJ
ejpam-6001	379	37	fractional	fractional	ADJ
ejpam-6001	379	38	orders	order	NOUN
ejpam-6001	379	39	as	as	ADP
ejpam-6001	379	40	0.6	0.6	NUM
ejpam-6001	379	41	,	,	PUNCT
ejpam-6001	379	42	0.62	0.62	NUM
ejpam-6001	379	43	,	,	PUNCT
ejpam-6001	379	44	...	...	PUNCT
ejpam-6001	379	45	,	,	PUNCT
ejpam-6001	379	46	1.0	1.0	NUM
ejpam-6001	379	47	.	.	PUNCT
ejpam-6001	380	1	m.	m.	PROPN
ejpam-6001	380	2	riaz	riaz	PROPN
ejpam-6001	380	3	et	et	PROPN
ejpam-6001	380	4	al	al	PROPN
ejpam-6001	380	5	.	.	PUNCT
ejpam-6001	380	6	/	/	SYM
ejpam-6001	380	7	eur	eur	PROPN
ejpam-6001	380	8	.	.	PUNCT
ejpam-6001	381	1	j.	j.	PROPN
ejpam-6001	381	2	pure	pure	PROPN
ejpam-6001	381	3	appl	appl	PROPN
ejpam-6001	381	4	.	.	PROPN
ejpam-6001	381	5	math	math	PROPN
ejpam-6001	381	6	,	,	PUNCT
ejpam-6001	381	7	18	18	NUM
ejpam-6001	381	8	(	(	PUNCT
ejpam-6001	381	9	2	2	NUM
ejpam-6001	381	10	)	)	PUNCT
ejpam-6001	381	11	(	(	PUNCT
ejpam-6001	381	12	2025	2025	NUM
ejpam-6001	381	13	)	)	PUNCT
ejpam-6001	381	14	,	,	PUNCT
ejpam-6001	381	15	6001	6001	NUM
ejpam-6001	381	16	20	20	NUM
ejpam-6001	381	17	of	of	ADP
ejpam-6001	381	18	27	27	NUM
ejpam-6001	381	19	time	time	NOUN
ejpam-6001	381	20	(	(	PUNCT
ejpam-6001	381	21	days	day	NOUN
ejpam-6001	381	22	)	)	PUNCT
ejpam-6001	381	23	0	0	NUM
ejpam-6001	382	1	50	50	NUM
ejpam-6001	382	2	100	100	NUM
ejpam-6001	382	3	150	150	NUM
ejpam-6001	382	4	200	200	NUM
ejpam-6001	382	5	250	250	NUM
ejpam-6001	382	6	p	p	NOUN
ejpam-6001	382	7	op	op	NOUN
ejpam-6001	382	8	ul	ul	NOUN
ejpam-6001	382	9	at	at	ADP
ejpam-6001	382	10	io	io	PROPN
ejpam-6001	382	11	n	n	PROPN
ejpam-6001	382	12	d	d	X
ejpam-6001	382	13	en	en	X
ejpam-6001	382	14	si	si	PROPN
ejpam-6001	382	15	ty	ty	INTJ
ejpam-6001	382	16	o	o	X
ejpam-6001	382	17	f	f	X
ejpam-6001	383	1	e	e	X
ejpam-6001	383	2	xp	xp	INTJ
ejpam-6001	383	3	os	os	PROPN
ejpam-6001	383	4	ed	ed	NOUN
ejpam-6001	383	5	0	0	NUM
ejpam-6001	383	6	0.01	0.01	NUM
ejpam-6001	383	7	0.02	0.02	NUM
ejpam-6001	383	8	0.03	0.03	NUM
ejpam-6001	383	9	0.04	0.04	NUM
ejpam-6001	383	10	0.05	0.05	NUM
ejpam-6001	383	11	0.06	0.06	NUM
ejpam-6001	383	12	0.07	0.07	NUM
ejpam-6001	383	13	figure	figure	NOUN
ejpam-6001	383	14	11	11	NUM
ejpam-6001	383	15	:	:	PUNCT
ejpam-6001	383	16	plot	plot	NOUN
ejpam-6001	383	17	of	of	ADP
ejpam-6001	383	18	numerical	numerical	ADJ
ejpam-6001	383	19	solutions	solution	NOUN
ejpam-6001	383	20	for	for	ADP
ejpam-6001	383	21	the	the	DET
ejpam-6001	383	22	exposed	expose	VERB
ejpam-6001	383	23	class	class	NOUN
ejpam-6001	383	24	of	of	ADP
ejpam-6001	383	25	the	the	DET
ejpam-6001	383	26	proposed	propose	VERB
ejpam-6001	383	27	model	model	NOUN
ejpam-6001	383	28	(	(	PUNCT
ejpam-6001	383	29	1)for	1)for	NUM
ejpam-6001	383	30	various	various	ADJ
ejpam-6001	383	31	fractional	fractional	ADJ
ejpam-6001	383	32	orders	order	NOUN
ejpam-6001	383	33	as	as	ADP
ejpam-6001	383	34	0.6	0.6	NUM
ejpam-6001	383	35	,	,	PUNCT
ejpam-6001	383	36	0.62	0.62	NUM
ejpam-6001	383	37	,	,	PUNCT
ejpam-6001	383	38	...	...	PUNCT
ejpam-6001	383	39	,	,	PUNCT
ejpam-6001	383	40	1.0	1.0	NUM
ejpam-6001	383	41	.	.	PUNCT
ejpam-6001	384	1	time	time	NOUN
ejpam-6001	384	2	(	(	PUNCT
ejpam-6001	384	3	days	day	NOUN
ejpam-6001	384	4	)	)	PUNCT
ejpam-6001	384	5	0	0	NUM
ejpam-6001	384	6	50	50	NUM
ejpam-6001	384	7	100	100	NUM
ejpam-6001	384	8	150	150	NUM
ejpam-6001	384	9	200	200	NUM
ejpam-6001	384	10	250	250	NUM
ejpam-6001	384	11	p	p	NOUN
ejpam-6001	384	12	op	op	NOUN
ejpam-6001	384	13	ul	ul	NOUN
ejpam-6001	384	14	at	at	ADP
ejpam-6001	384	15	io	io	PROPN
ejpam-6001	384	16	n	n	PROPN
ejpam-6001	384	17	d	d	X
ejpam-6001	384	18	en	en	X
ejpam-6001	384	19	si	si	PROPN
ejpam-6001	384	20	ty	ty	INTJ
ejpam-6001	384	21	o	o	X
ejpam-6001	385	1	f	f	X
ejpam-6001	385	2	s	s	PART
ejpam-6001	385	3	tr	tr	NOUN
ejpam-6001	385	4	ai	ai	NOUN
ejpam-6001	385	5	n	n	ADV
ejpam-6001	385	6	1	1	NUM
ejpam-6001	385	7	co	co	NOUN
ejpam-6001	385	8	m	m	PROPN
ejpam-6001	385	9	pa	pa	PROPN
ejpam-6001	385	10	rt	rt	PROPN
ejpam-6001	385	11	m	m	PROPN
ejpam-6001	385	12	en	en	ADP
ejpam-6001	385	13	t	t	NOUN
ejpam-6001	385	14	0	0	NUM
ejpam-6001	385	15	0.005	0.005	NUM
ejpam-6001	385	16	0.01	0.01	NUM
ejpam-6001	385	17	0.015	0.015	NUM
ejpam-6001	385	18	0.02	0.02	NUM
ejpam-6001	385	19	0.025	0.025	NUM
ejpam-6001	385	20	0.03	0.03	NUM
ejpam-6001	385	21	figure	figure	NOUN
ejpam-6001	385	22	12	12	NUM
ejpam-6001	385	23	:	:	PUNCT
ejpam-6001	385	24	plot	plot	NOUN
ejpam-6001	385	25	of	of	ADP
ejpam-6001	385	26	numerical	numerical	ADJ
ejpam-6001	385	27	solutions	solution	NOUN
ejpam-6001	385	28	for	for	ADP
ejpam-6001	385	29	the	the	DET
ejpam-6001	385	30	strain	strain	ADJ
ejpam-6001	385	31	1	1	NUM
ejpam-6001	385	32	class	class	NOUN
ejpam-6001	385	33	of	of	ADP
ejpam-6001	385	34	the	the	DET
ejpam-6001	385	35	proposed	propose	VERB
ejpam-6001	385	36	model	model	NOUN
ejpam-6001	385	37	(	(	PUNCT
ejpam-6001	385	38	1)for	1)for	NUM
ejpam-6001	385	39	various	various	ADJ
ejpam-6001	385	40	fractional	fractional	ADJ
ejpam-6001	385	41	orders	order	NOUN
ejpam-6001	385	42	as	as	ADP
ejpam-6001	385	43	0.6	0.6	NUM
ejpam-6001	385	44	,	,	PUNCT
ejpam-6001	385	45	0.62	0.62	NUM
ejpam-6001	385	46	,	,	PUNCT
ejpam-6001	385	47	...	...	PUNCT
ejpam-6001	385	48	,	,	PUNCT
ejpam-6001	385	49	1.0	1.0	NUM
ejpam-6001	385	50	.	.	PUNCT
ejpam-6001	386	1	m.	m.	PROPN
ejpam-6001	386	2	riaz	riaz	PROPN
ejpam-6001	386	3	et	et	PROPN
ejpam-6001	386	4	al	al	PROPN
ejpam-6001	386	5	.	.	PUNCT
ejpam-6001	386	6	/	/	SYM
ejpam-6001	386	7	eur	eur	PROPN
ejpam-6001	386	8	.	.	PUNCT
ejpam-6001	387	1	j.	j.	PROPN
ejpam-6001	387	2	pure	pure	PROPN
ejpam-6001	387	3	appl	appl	PROPN
ejpam-6001	387	4	.	.	PROPN
ejpam-6001	387	5	math	math	PROPN
ejpam-6001	387	6	,	,	PUNCT
ejpam-6001	387	7	18	18	NUM
ejpam-6001	387	8	(	(	PUNCT
ejpam-6001	387	9	2	2	NUM
ejpam-6001	387	10	)	)	PUNCT
ejpam-6001	387	11	(	(	PUNCT
ejpam-6001	387	12	2025	2025	NUM
ejpam-6001	387	13	)	)	PUNCT
ejpam-6001	387	14	,	,	PUNCT
ejpam-6001	387	15	6001	6001	NUM
ejpam-6001	387	16	21	21	NUM
ejpam-6001	387	17	of	of	ADP
ejpam-6001	387	18	27	27	NUM
ejpam-6001	387	19	time	time	NOUN
ejpam-6001	387	20	(	(	PUNCT
ejpam-6001	387	21	days	day	NOUN
ejpam-6001	387	22	)	)	PUNCT
ejpam-6001	387	23	0	0	NUM
ejpam-6001	388	1	50	50	NUM
ejpam-6001	388	2	100	100	NUM
ejpam-6001	388	3	150	150	NUM
ejpam-6001	388	4	200	200	NUM
ejpam-6001	388	5	250	250	NUM
ejpam-6001	388	6	p	p	NOUN
ejpam-6001	388	7	op	op	NOUN
ejpam-6001	388	8	ul	ul	NOUN
ejpam-6001	388	9	at	at	ADP
ejpam-6001	388	10	io	io	PROPN
ejpam-6001	388	11	n	n	PROPN
ejpam-6001	388	12	d	d	X
ejpam-6001	388	13	en	en	X
ejpam-6001	388	14	si	si	PROPN
ejpam-6001	388	15	ty	ty	INTJ
ejpam-6001	388	16	o	o	X
ejpam-6001	389	1	f	f	X
ejpam-6001	389	2	s	s	PART
ejpam-6001	389	3	tr	tr	NOUN
ejpam-6001	389	4	ai	ai	NOUN
ejpam-6001	389	5	n	n	ADV
ejpam-6001	389	6	2	2	NUM
ejpam-6001	389	7	co	co	NOUN
ejpam-6001	389	8	m	m	PROPN
ejpam-6001	389	9	pa	pa	PROPN
ejpam-6001	389	10	rt	rt	PROPN
ejpam-6001	389	11	m	m	PROPN
ejpam-6001	389	12	en	en	PROPN
ejpam-6001	389	13	t	t	PROPN
ejpam-6001	389	14	×10	×10	PROPN
ejpam-6001	389	15	-	-	PUNCT
ejpam-6001	389	16	4	4	NUM
ejpam-6001	389	17	0	0	NUM
ejpam-6001	389	18	0.5	0.5	NUM
ejpam-6001	389	19	1	1	NUM
ejpam-6001	389	20	1.5	1.5	NUM
ejpam-6001	389	21	2	2	NUM
ejpam-6001	389	22	2.5	2.5	NUM
ejpam-6001	389	23	3	3	NUM
ejpam-6001	389	24	3.5	3.5	NUM
ejpam-6001	389	25	figure	figure	NOUN
ejpam-6001	389	26	13	13	NUM
ejpam-6001	389	27	:	:	PUNCT
ejpam-6001	389	28	plot	plot	NOUN
ejpam-6001	389	29	of	of	ADP
ejpam-6001	389	30	numerical	numerical	ADJ
ejpam-6001	389	31	solutions	solution	NOUN
ejpam-6001	389	32	for	for	ADP
ejpam-6001	389	33	the	the	DET
ejpam-6001	389	34	strain	strain	ADJ
ejpam-6001	389	35	2	2	NUM
ejpam-6001	389	36	class	class	NOUN
ejpam-6001	389	37	of	of	ADP
ejpam-6001	389	38	the	the	DET
ejpam-6001	389	39	proposed	propose	VERB
ejpam-6001	389	40	model	model	NOUN
ejpam-6001	389	41	(	(	PUNCT
ejpam-6001	389	42	1)for	1)for	NUM
ejpam-6001	389	43	various	various	ADJ
ejpam-6001	389	44	fractional	fractional	ADJ
ejpam-6001	389	45	orders	order	NOUN
ejpam-6001	389	46	as	as	ADP
ejpam-6001	389	47	0.6	0.6	NUM
ejpam-6001	389	48	,	,	PUNCT
ejpam-6001	389	49	0.62	0.62	NUM
ejpam-6001	389	50	,	,	PUNCT
ejpam-6001	389	51	...	...	PUNCT
ejpam-6001	389	52	,	,	PUNCT
ejpam-6001	389	53	1.0	1.0	NUM
ejpam-6001	389	54	.	.	PUNCT
ejpam-6001	390	1	time	time	NOUN
ejpam-6001	390	2	(	(	PUNCT
ejpam-6001	390	3	days	day	NOUN
ejpam-6001	390	4	)	)	PUNCT
ejpam-6001	390	5	0	0	NUM
ejpam-6001	390	6	50	50	NUM
ejpam-6001	390	7	100	100	NUM
ejpam-6001	390	8	150	150	NUM
ejpam-6001	390	9	200	200	NUM
ejpam-6001	390	10	250	250	NUM
ejpam-6001	390	11	p	p	NOUN
ejpam-6001	390	12	op	op	NOUN
ejpam-6001	390	13	ul	ul	NOUN
ejpam-6001	390	14	at	at	ADP
ejpam-6001	390	15	io	io	PROPN
ejpam-6001	390	16	n	n	PROPN
ejpam-6001	390	17	d	d	X
ejpam-6001	390	18	en	en	X
ejpam-6001	390	19	si	si	INTJ
ejpam-6001	391	1	ty	ty	INTJ
ejpam-6001	392	1	h	h	NOUN
ejpam-6001	393	1	os	os	NOUN
ejpam-6001	394	1	pi	pi	NOUN
ejpam-6001	394	2	ta	ta	X
ejpam-6001	394	3	liz	liz	PROPN
ejpam-6001	395	1	ed	ed	PROPN
ejpam-6001	396	1	c	c	PROPN
ejpam-6001	396	2	om	om	PROPN
ejpam-6001	397	1	pa	pa	PROPN
ejpam-6001	397	2	rt	rt	PROPN
ejpam-6001	397	3	m	m	PROPN
ejpam-6001	397	4	en	en	PROPN
ejpam-6001	397	5	t	t	PROPN
ejpam-6001	397	6	×10	×10	PROPN
ejpam-6001	397	7	-	-	PUNCT
ejpam-6001	397	8	4	4	NUM
ejpam-6001	397	9	0	0	NUM
ejpam-6001	397	10	1	1	NUM
ejpam-6001	397	11	2	2	NUM
ejpam-6001	397	12	3	3	NUM
ejpam-6001	397	13	4	4	NUM
ejpam-6001	397	14	5	5	NUM
ejpam-6001	397	15	6	6	NUM
ejpam-6001	397	16	figure	figure	NOUN
ejpam-6001	397	17	14	14	NUM
ejpam-6001	397	18	:	:	PUNCT
ejpam-6001	397	19	plot	plot	NOUN
ejpam-6001	397	20	of	of	ADP
ejpam-6001	397	21	numerical	numerical	ADJ
ejpam-6001	397	22	solutions	solution	NOUN
ejpam-6001	397	23	for	for	ADP
ejpam-6001	397	24	the	the	DET
ejpam-6001	397	25	hospitalize	hospitalize	ADJ
ejpam-6001	397	26	class	class	NOUN
ejpam-6001	397	27	of	of	ADP
ejpam-6001	397	28	the	the	DET
ejpam-6001	397	29	proposed	propose	VERB
ejpam-6001	397	30	model	model	NOUN
ejpam-6001	397	31	(	(	PUNCT
ejpam-6001	397	32	1)for	1)for	NUM
ejpam-6001	397	33	various	various	ADJ
ejpam-6001	397	34	fractional	fractional	ADJ
ejpam-6001	397	35	orders	order	NOUN
ejpam-6001	397	36	as	as	ADP
ejpam-6001	397	37	0.6	0.6	NUM
ejpam-6001	397	38	,	,	PUNCT
ejpam-6001	397	39	0.62	0.62	NUM
ejpam-6001	397	40	,	,	PUNCT
ejpam-6001	397	41	...	...	PUNCT
ejpam-6001	397	42	,	,	PUNCT
ejpam-6001	397	43	1.0	1.0	NUM
ejpam-6001	397	44	.	.	PUNCT
ejpam-6001	398	1	m.	m.	PROPN
ejpam-6001	398	2	riaz	riaz	PROPN
ejpam-6001	398	3	et	et	PROPN
ejpam-6001	398	4	al	al	PROPN
ejpam-6001	398	5	.	.	PUNCT
ejpam-6001	398	6	/	/	SYM
ejpam-6001	398	7	eur	eur	PROPN
ejpam-6001	398	8	.	.	PUNCT
ejpam-6001	399	1	j.	j.	PROPN
ejpam-6001	399	2	pure	pure	PROPN
ejpam-6001	399	3	appl	appl	PROPN
ejpam-6001	399	4	.	.	PROPN
ejpam-6001	399	5	math	math	PROPN
ejpam-6001	399	6	,	,	PUNCT
ejpam-6001	399	7	18	18	NUM
ejpam-6001	399	8	(	(	PUNCT
ejpam-6001	399	9	2	2	NUM
ejpam-6001	399	10	)	)	PUNCT
ejpam-6001	399	11	(	(	PUNCT
ejpam-6001	399	12	2025	2025	NUM
ejpam-6001	399	13	)	)	PUNCT
ejpam-6001	399	14	,	,	PUNCT
ejpam-6001	399	15	6001	6001	NUM
ejpam-6001	399	16	22	22	NUM
ejpam-6001	399	17	of	of	ADP
ejpam-6001	399	18	27	27	NUM
ejpam-6001	399	19	time	time	NOUN
ejpam-6001	399	20	(	(	PUNCT
ejpam-6001	399	21	days	day	NOUN
ejpam-6001	399	22	)	)	PUNCT
ejpam-6001	399	23	0	0	NUM
ejpam-6001	400	1	50	50	NUM
ejpam-6001	400	2	100	100	NUM
ejpam-6001	400	3	150	150	NUM
ejpam-6001	400	4	200	200	NUM
ejpam-6001	400	5	250	250	NUM
ejpam-6001	400	6	p	p	NOUN
ejpam-6001	400	7	op	op	NOUN
ejpam-6001	400	8	ul	ul	NOUN
ejpam-6001	400	9	at	at	ADP
ejpam-6001	400	10	io	io	PROPN
ejpam-6001	400	11	n	n	PROPN
ejpam-6001	400	12	d	d	X
ejpam-6001	400	13	en	en	X
ejpam-6001	400	14	si	si	PROPN
ejpam-6001	400	15	ty	ty	INTJ
ejpam-6001	400	16	o	o	NOUN
ejpam-6001	400	17	f	f	X
ejpam-6001	400	18	r	r	NOUN
ejpam-6001	400	19	ec	ec	PROPN
ejpam-6001	400	20	ov	ov	INTJ
ejpam-6001	400	21	er	er	INTJ
ejpam-6001	400	22	ed	ed	NOUN
ejpam-6001	400	23	c	c	PROPN
ejpam-6001	400	24	om	om	PROPN
ejpam-6001	401	1	pa	pa	PROPN
ejpam-6001	401	2	rt	rt	PROPN
ejpam-6001	401	3	m	m	PROPN
ejpam-6001	401	4	en	en	ADP
ejpam-6001	401	5	t	t	NOUN
ejpam-6001	401	6	0	0	NUM
ejpam-6001	401	7	0.01	0.01	NUM
ejpam-6001	401	8	0.02	0.02	NUM
ejpam-6001	401	9	0.03	0.03	NUM
ejpam-6001	401	10	0.04	0.04	NUM
ejpam-6001	401	11	0.05	0.05	NUM
ejpam-6001	401	12	0.06	0.06	NUM
ejpam-6001	401	13	figure	figure	NOUN
ejpam-6001	401	14	15	15	NUM
ejpam-6001	401	15	:	:	PUNCT
ejpam-6001	401	16	plot	plot	NOUN
ejpam-6001	401	17	of	of	ADP
ejpam-6001	401	18	numerical	numerical	ADJ
ejpam-6001	401	19	solutions	solution	NOUN
ejpam-6001	401	20	for	for	ADP
ejpam-6001	401	21	the	the	DET
ejpam-6001	401	22	recovered	recovered	ADJ
ejpam-6001	401	23	class	class	NOUN
ejpam-6001	401	24	of	of	ADP
ejpam-6001	401	25	the	the	DET
ejpam-6001	401	26	proposed	propose	VERB
ejpam-6001	401	27	model	model	NOUN
ejpam-6001	401	28	(	(	PUNCT
ejpam-6001	401	29	1)for	1)for	NUM
ejpam-6001	401	30	various	various	ADJ
ejpam-6001	401	31	fractional	fractional	ADJ
ejpam-6001	401	32	orders	order	NOUN
ejpam-6001	401	33	as	as	ADP
ejpam-6001	401	34	0.6	0.6	NUM
ejpam-6001	401	35	,	,	PUNCT
ejpam-6001	401	36	0.62	0.62	NUM
ejpam-6001	401	37	,	,	PUNCT
ejpam-6001	401	38	...	...	PUNCT
ejpam-6001	401	39	,	,	PUNCT
ejpam-6001	401	40	1.0	1.0	NUM
ejpam-6001	401	41	.	.	PUNCT
ejpam-6001	402	1	time	time	NOUN
ejpam-6001	402	2	(	(	PUNCT
ejpam-6001	402	3	days	day	NOUN
ejpam-6001	402	4	)	)	PUNCT
ejpam-6001	402	5	0	0	NUM
ejpam-6001	402	6	50	50	NUM
ejpam-6001	402	7	100	100	NUM
ejpam-6001	402	8	150	150	NUM
ejpam-6001	402	9	200	200	NUM
ejpam-6001	402	10	250	250	NUM
ejpam-6001	402	11	p	p	NOUN
ejpam-6001	402	12	op	op	NOUN
ejpam-6001	402	13	ul	ul	NOUN
ejpam-6001	402	14	at	at	ADP
ejpam-6001	402	15	io	io	PROPN
ejpam-6001	402	16	n	n	PROPN
ejpam-6001	402	17	d	d	X
ejpam-6001	402	18	en	en	X
ejpam-6001	402	19	si	si	INTJ
ejpam-6001	402	20	ty	ty	INTJ
ejpam-6001	402	21	d	d	PROPN
ejpam-6001	402	22	ea	ea	X
ejpam-6001	402	23	th	th	X
ejpam-6001	402	24	c	c	NOUN
ejpam-6001	402	25	om	om	PROPN
ejpam-6001	402	26	pa	pa	PROPN
ejpam-6001	402	27	rt	rt	PROPN
ejpam-6001	402	28	m	m	PROPN
ejpam-6001	402	29	en	en	PROPN
ejpam-6001	402	30	t	t	PROPN
ejpam-6001	402	31	×10	×10	PROPN
ejpam-6001	402	32	-	-	PUNCT
ejpam-6001	402	33	4	4	NUM
ejpam-6001	402	34	0	0	NUM
ejpam-6001	402	35	1	1	NUM
ejpam-6001	402	36	2	2	NUM
ejpam-6001	402	37	3	3	NUM
ejpam-6001	402	38	4	4	NUM
ejpam-6001	402	39	5	5	NUM
ejpam-6001	402	40	6	6	NUM
ejpam-6001	402	41	figure	figure	NOUN
ejpam-6001	402	42	16	16	NUM
ejpam-6001	402	43	:	:	PUNCT
ejpam-6001	402	44	plot	plot	NOUN
ejpam-6001	402	45	of	of	ADP
ejpam-6001	402	46	numerical	numerical	ADJ
ejpam-6001	402	47	solutions	solution	NOUN
ejpam-6001	402	48	for	for	ADP
ejpam-6001	402	49	the	the	DET
ejpam-6001	402	50	death	death	NOUN
ejpam-6001	402	51	class	class	NOUN
ejpam-6001	402	52	of	of	ADP
ejpam-6001	402	53	the	the	DET
ejpam-6001	402	54	proposed	propose	VERB
ejpam-6001	402	55	model	model	NOUN
ejpam-6001	402	56	(	(	PUNCT
ejpam-6001	402	57	1	1	NUM
ejpam-6001	402	58	)	)	PUNCT
ejpam-6001	402	59	for	for	ADP
ejpam-6001	402	60	various	various	ADJ
ejpam-6001	402	61	fractional	fractional	ADJ
ejpam-6001	402	62	orders	order	NOUN
ejpam-6001	402	63	as	as	ADP
ejpam-6001	402	64	0.6	0.6	NUM
ejpam-6001	402	65	,	,	PUNCT
ejpam-6001	402	66	0.62	0.62	NUM
ejpam-6001	402	67	,	,	PUNCT
ejpam-6001	402	68	...	...	PUNCT
ejpam-6001	402	69	,	,	PUNCT
ejpam-6001	402	70	1.0	1.0	NUM
ejpam-6001	402	71	.	.	PUNCT
ejpam-6001	403	1	using	use	VERB
ejpam-6001	403	2	the	the	DET
ejpam-6001	403	3	numerical	numerical	ADJ
ejpam-6001	403	4	values	value	NOUN
ejpam-6001	403	5	of	of	ADP
ejpam-6001	403	6	the	the	DET
ejpam-6001	403	7	model	model	NOUN
ejpam-6001	403	8	parameters	parameter	NOUN
ejpam-6001	403	9	provided	provide	VERB
ejpam-6001	403	10	in	in	ADP
ejpam-6001	403	11	2	2	NUM
ejpam-6001	403	12	,	,	PUNCT
ejpam-6001	403	13	we	we	PRON
ejpam-6001	403	14	consider	consider	VERB
ejpam-6001	403	15	the	the	DET
ejpam-6001	403	16	fractional	fractional	ADJ
ejpam-6001	403	17	order	order	NOUN
ejpam-6001	403	18	model	model	NOUN
ejpam-6001	403	19	considered	consider	VERB
ejpam-6001	403	20	under	under	ADP
ejpam-6001	403	21	the	the	DET
ejpam-6001	403	22	caputo	caputo	PROPN
ejpam-6001	403	23	derivative	derivative	NOUN
ejpam-6001	403	24	to	to	PART
ejpam-6001	403	25	generate	generate	VERB
ejpam-6001	403	26	the	the	DET
ejpam-6001	403	27	graphical	graphical	ADJ
ejpam-6001	403	28	results	result	NOUN
ejpam-6001	403	29	by	by	ADP
ejpam-6001	403	30	the	the	DET
ejpam-6001	403	31	above	above	ADV
ejpam-6001	403	32	-	-	PUNCT
ejpam-6001	403	33	mentioned	mention	VERB
ejpam-6001	403	34	scheme	scheme	NOUN
ejpam-6001	403	35	.	.	PUNCT
ejpam-6001	404	1	the	the	DET
ejpam-6001	404	2	results	result	NOUN
ejpam-6001	404	3	of	of	ADP
ejpam-6001	404	4	applying	apply	VERB
ejpam-6001	404	5	the	the	DET
ejpam-6001	404	6	numerical	numerical	ADJ
ejpam-6001	404	7	technique	technique	NOUN
ejpam-6001	404	8	for	for	ADP
ejpam-6001	404	9	the	the	DET
ejpam-6001	404	10	caputo	caputo	PROPN
ejpam-6001	404	11	fractional	fractional	ADJ
ejpam-6001	404	12	order	order	NOUN
ejpam-6001	404	13	,	,	PUNCT
ejpam-6001	404	14	as	as	SCONJ
ejpam-6001	404	15	stated	state	VERB
ejpam-6001	404	16	in	in	ADP
ejpam-6001	404	17	equation	equation	NOUN
ejpam-6001	404	18	(	(	PUNCT
ejpam-6001	404	19	25	25	NUM
ejpam-6001	404	20	)	)	PUNCT
ejpam-6001	404	21	are	be	AUX
ejpam-6001	404	22	displayed	display	VERB
ejpam-6001	404	23	in	in	ADP
ejpam-6001	404	24	figures	figure	NOUN
ejpam-6001	404	25	10	10	NUM
ejpam-6001	404	26	16	16	NUM
ejpam-6001	404	27	.	.	PUNCT
ejpam-6001	405	1	by	by	ADP
ejpam-6001	405	2	taking	take	VERB
ejpam-6001	405	3	into	into	ADP
ejpam-6001	405	4	account	account	NOUN
ejpam-6001	405	5	the	the	DET
ejpam-6001	405	6	fractional	fractional	ADJ
ejpam-6001	405	7	-	-	PUNCT
ejpam-6001	405	8	order	order	NOUN
ejpam-6001	405	9	values	value	NOUN
ejpam-6001	405	10	0.6	0.6	NUM
ejpam-6001	405	11	,	,	PUNCT
ejpam-6001	405	12	0.62	0.62	NUM
ejpam-6001	405	13	,	,	PUNCT
ejpam-6001	405	14	...	...	PUNCT
ejpam-6001	405	15	,	,	PUNCT
ejpam-6001	405	16	1.0	1.0	NUM
ejpam-6001	405	17	,	,	PUNCT
ejpam-6001	405	18	we	we	PRON
ejpam-6001	405	19	plot	plot	VERB
ejpam-6001	405	20	graphical	graphical	ADJ
ejpam-6001	405	21	results	result	NOUN
ejpam-6001	405	22	,	,	PUNCT
ejpam-6001	405	23	where	where	SCONJ
ejpam-6001	405	24	a	a	DET
ejpam-6001	405	25	rise	rise	NOUN
ejpam-6001	405	26	was	be	AUX
ejpam-6001	405	27	noted	note	VERB
ejpam-6001	405	28	for	for	SCONJ
ejpam-6001	405	29	the	the	DET
ejpam-6001	405	30	model	model	NOUN
ejpam-6001	405	31	’s	’s	PART
ejpam-6001	405	32	infected	infect	VERB
ejpam-6001	405	33	compartments	compartment	NOUN
ejpam-6001	405	34	and	and	CCONJ
ejpam-6001	405	35	a	a	DET
ejpam-6001	405	36	drop	drop	NOUN
ejpam-6001	405	37	in	in	ADP
ejpam-6001	405	38	the	the	DET
ejpam-6001	405	39	fractional	fractional	ADJ
ejpam-6001	405	40	-	-	PUNCT
ejpam-6001	405	41	order	order	NOUN
ejpam-6001	405	42	parameters	parameter	NOUN
ejpam-6001	405	43	was	be	AUX
ejpam-6001	405	44	observed	observe	VERB
ejpam-6001	405	45	for	for	ADP
ejpam-6001	405	46	the	the	DET
ejpam-6001	405	47	number	number	NOUN
ejpam-6001	405	48	of	of	ADP
ejpam-6001	405	49	susceptible	susceptible	ADJ
ejpam-6001	405	50	and	and	CCONJ
ejpam-6001	405	51	recovered	recovered	ADJ
ejpam-6001	405	52	people	people	NOUN
ejpam-6001	405	53	.	.	PUNCT
ejpam-6001	406	1	seir	seir	ADJ
ejpam-6001	406	2	epidemic	epidemic	NOUN
ejpam-6001	406	3	model	model	NOUN
ejpam-6001	406	4	consists	consist	VERB
ejpam-6001	406	5	only	only	ADV
ejpam-6001	406	6	on	on	ADP
ejpam-6001	406	7	susceptible	susceptible	ADJ
ejpam-6001	406	8	,	,	PUNCT
ejpam-6001	406	9	exposed	expose	VERB
ejpam-6001	406	10	,	,	PUNCT
ejpam-6001	406	11	infected	infected	ADJ
ejpam-6001	406	12	,	,	PUNCT
ejpam-6001	406	13	and	and	CCONJ
ejpam-6001	406	14	recovered	recovered	ADJ
ejpam-6001	406	15	classes	class	NOUN
ejpam-6001	406	16	,	,	PUNCT
ejpam-6001	406	17	while	while	SCONJ
ejpam-6001	406	18	in	in	ADP
ejpam-6001	406	19	our	our	PRON
ejpam-6001	406	20	model	model	NOUN
ejpam-6001	406	21	,	,	PUNCT
ejpam-6001	406	22	we	we	PRON
ejpam-6001	406	23	split	split	VERB
ejpam-6001	406	24	i	i	PRON
ejpam-6001	406	25	into	into	ADP
ejpam-6001	406	26	two	two	NUM
ejpam-6001	406	27	strains	strain	NOUN
ejpam-6001	406	28	i1	i1	PROPN
ejpam-6001	406	29	and	and	CCONJ
ejpam-6001	406	30	i2	i2	PROPN
ejpam-6001	406	31	,	,	PUNCT
ejpam-6001	406	32	and	and	CCONJ
ejpam-6001	406	33	added	add	VERB
ejpam-6001	406	34	d	d	X
ejpam-6001	406	35	(	(	PUNCT
ejpam-6001	406	36	death	death	NOUN
ejpam-6001	406	37	due	due	ADP
ejpam-6001	406	38	to	to	ADP
ejpam-6001	406	39	corona	corona	NOUN
ejpam-6001	406	40	)	)	PUNCT
ejpam-6001	406	41	and	and	CCONJ
ejpam-6001	406	42	h	h	NOUN
ejpam-6001	406	43	(	(	PUNCT
ejpam-6001	406	44	hospitalized	hospitalize	VERB
ejpam-6001	406	45	individuals	individual	NOUN
ejpam-6001	406	46	)	)	PUNCT
ejpam-6001	406	47	.	.	PUNCT
ejpam-6001	407	1	incorporating	incorporate	VERB
ejpam-6001	407	2	these	these	DET
ejpam-6001	407	3	new	new	ADJ
ejpam-6001	407	4	compartments	compartment	NOUN
ejpam-6001	407	5	allows	allow	VERB
ejpam-6001	407	6	the	the	DET
ejpam-6001	407	7	model	model	NOUN
ejpam-6001	407	8	to	to	PART
ejpam-6001	407	9	simulate	simulate	VERB
ejpam-6001	407	10	disease	disease	NOUN
ejpam-6001	407	11	progression	progression	NOUN
ejpam-6001	407	12	more	more	ADV
ejpam-6001	407	13	accurately	accurately	ADV
ejpam-6001	407	14	.	.	PUNCT
ejpam-6001	408	1	the	the	DET
ejpam-6001	408	2	hospitalized	hospitalize	VERB
ejpam-6001	408	3	compartment	compartment	NOUN
ejpam-6001	408	4	is	be	AUX
ejpam-6001	408	5	crucial	crucial	ADJ
ejpam-6001	408	6	for	for	ADP
ejpam-6001	408	7	the	the	DET
ejpam-6001	408	8	analysis	analysis	NOUN
ejpam-6001	408	9	of	of	ADP
ejpam-6001	408	10	hospitalized	hospitalize	VERB
ejpam-6001	408	11	rate	rate	NOUN
ejpam-6001	408	12	of	of	ADP
ejpam-6001	408	13	infected	infected	ADJ
ejpam-6001	408	14	individual	individual	NOUN
ejpam-6001	408	15	and	and	CCONJ
ejpam-6001	408	16	load	load	NOUN
ejpam-6001	408	17	on	on	ADP
ejpam-6001	408	18	m.	m.	NOUN
ejpam-6001	408	19	riaz	riaz	PROPN
ejpam-6001	408	20	et	et	PROPN
ejpam-6001	408	21	al	al	PROPN
ejpam-6001	408	22	.	.	PUNCT
ejpam-6001	408	23	/	/	SYM
ejpam-6001	408	24	eur	eur	PROPN
ejpam-6001	408	25	.	.	PUNCT
ejpam-6001	409	1	j.	j.	PROPN
ejpam-6001	409	2	pure	pure	PROPN
ejpam-6001	409	3	appl	appl	PROPN
ejpam-6001	409	4	.	.	PROPN
ejpam-6001	409	5	math	math	PROPN
ejpam-6001	409	6	,	,	PUNCT
ejpam-6001	409	7	18	18	NUM
ejpam-6001	409	8	(	(	PUNCT
ejpam-6001	409	9	2	2	NUM
ejpam-6001	409	10	)	)	PUNCT
ejpam-6001	409	11	(	(	PUNCT
ejpam-6001	409	12	2025	2025	NUM
ejpam-6001	409	13	)	)	PUNCT
ejpam-6001	409	14	,	,	PUNCT
ejpam-6001	409	15	6001	6001	NUM
ejpam-6001	409	16	23	23	NUM
ejpam-6001	409	17	of	of	ADP
ejpam-6001	409	18	27	27	NUM
ejpam-6001	409	19	the	the	DET
ejpam-6001	409	20	healthcare	healthcare	NOUN
ejpam-6001	409	21	departments	department	NOUN
ejpam-6001	409	22	.	.	PUNCT
ejpam-6001	410	1	the	the	DET
ejpam-6001	410	2	compartment	compartment	NOUN
ejpam-6001	410	3	d	d	PRON
ejpam-6001	410	4	accurately	accurately	ADV
ejpam-6001	410	5	separates	separate	VERB
ejpam-6001	410	6	the	the	DET
ejpam-6001	410	7	death	death	NOUN
ejpam-6001	410	8	due	due	ADP
ejpam-6001	410	9	to	to	ADP
ejpam-6001	410	10	corona	corona	NOUN
ejpam-6001	410	11	from	from	ADP
ejpam-6001	410	12	the	the	DET
ejpam-6001	410	13	natural	natural	ADJ
ejpam-6001	410	14	death	death	NOUN
ejpam-6001	410	15	and	and	CCONJ
ejpam-6001	410	16	allows	allow	VERB
ejpam-6001	410	17	evaluation	evaluation	NOUN
ejpam-6001	410	18	of	of	ADP
ejpam-6001	410	19	how	how	SCONJ
ejpam-6001	410	20	treatment	treatment	NOUN
ejpam-6001	410	21	and	and	CCONJ
ejpam-6001	410	22	other	other	ADJ
ejpam-6001	410	23	intervention	intervention	NOUN
ejpam-6001	410	24	strategies	strategy	NOUN
ejpam-6001	410	25	reduce	reduce	VERB
ejpam-6001	410	26	the	the	DET
ejpam-6001	410	27	number	number	NOUN
ejpam-6001	410	28	of	of	ADP
ejpam-6001	410	29	deaths	death	NOUN
ejpam-6001	410	30	due	due	ADP
ejpam-6001	410	31	to	to	ADP
ejpam-6001	410	32	infection	infection	NOUN
ejpam-6001	410	33	.	.	PUNCT
ejpam-6001	411	1	comparing	compare	VERB
ejpam-6001	411	2	to	to	ADP
ejpam-6001	411	3	seir	seir	ADJ
ejpam-6001	411	4	epidemic	epidemic	NOUN
ejpam-6001	411	5	model	model	NOUN
ejpam-6001	411	6	,	,	PUNCT
ejpam-6001	411	7	our	our	PRON
ejpam-6001	411	8	model	model	NOUN
ejpam-6001	411	9	offers	offer	VERB
ejpam-6001	411	10	a	a	DET
ejpam-6001	411	11	more	more	ADV
ejpam-6001	411	12	realistic	realistic	ADJ
ejpam-6001	411	13	and	and	CCONJ
ejpam-6001	411	14	flexible	flexible	ADJ
ejpam-6001	411	15	framework	framework	NOUN
ejpam-6001	411	16	to	to	PART
ejpam-6001	411	17	better	well	ADV
ejpam-6001	411	18	understand	understand	VERB
ejpam-6001	411	19	the	the	DET
ejpam-6001	411	20	transmission	transmission	NOUN
ejpam-6001	411	21	and	and	CCONJ
ejpam-6001	411	22	burden	burden	NOUN
ejpam-6001	411	23	of	of	ADP
ejpam-6001	411	24	covid-19	covid-19	PROPN
ejpam-6001	411	25	.	.	PROPN
ejpam-6001	412	1	8	8	NUM
ejpam-6001	412	2	.	.	PUNCT
ejpam-6001	412	3	conclusion	conclusion	NOUN
ejpam-6001	412	4	in	in	ADP
ejpam-6001	412	5	this	this	DET
ejpam-6001	412	6	work	work	NOUN
ejpam-6001	412	7	,	,	PUNCT
ejpam-6001	412	8	a	a	DET
ejpam-6001	412	9	novel	novel	ADJ
ejpam-6001	412	10	mathematical	mathematical	ADJ
ejpam-6001	412	11	model	model	NOUN
ejpam-6001	412	12	has	have	AUX
ejpam-6001	412	13	been	be	AUX
ejpam-6001	412	14	introduced	introduce	VERB
ejpam-6001	412	15	to	to	PART
ejpam-6001	412	16	comprehend	comprehend	VERB
ejpam-6001	412	17	the	the	DET
ejpam-6001	412	18	two	two	NUM
ejpam-6001	412	19	strain	strain	ADJ
ejpam-6001	412	20	variations	variation	NOUN
ejpam-6001	412	21	of	of	ADP
ejpam-6001	412	22	covid-19	covid-19	PROPN
ejpam-6001	412	23	and	and	CCONJ
ejpam-6001	412	24	show	show	VERB
ejpam-6001	412	25	how	how	SCONJ
ejpam-6001	412	26	exposed	expose	VERB
ejpam-6001	412	27	,	,	PUNCT
ejpam-6001	412	28	asymptomatic	asymptomatic	ADJ
ejpam-6001	412	29	,	,	PUNCT
ejpam-6001	412	30	symptomatic	symptomatic	ADJ
ejpam-6001	412	31	,	,	PUNCT
ejpam-6001	412	32	and	and	CCONJ
ejpam-6001	412	33	hospitalized	hospitalize	VERB
ejpam-6001	412	34	persons	person	NOUN
ejpam-6001	412	35	interact	interact	VERB
ejpam-6001	412	36	with	with	ADP
ejpam-6001	412	37	covid-19	covid-19	PROPN
ejpam-6001	412	38	.	.	PUNCT
ejpam-6001	413	1	we	we	PRON
ejpam-6001	413	2	developed	develop	VERB
ejpam-6001	413	3	the	the	DET
ejpam-6001	413	4	model	model	NOUN
ejpam-6001	413	5	and	and	CCONJ
ejpam-6001	413	6	provided	provide	VERB
ejpam-6001	413	7	a	a	DET
ejpam-6001	413	8	thorough	thorough	ADJ
ejpam-6001	413	9	explanation	explanation	NOUN
ejpam-6001	413	10	of	of	ADP
ejpam-6001	413	11	the	the	DET
ejpam-6001	413	12	biological	biological	ADJ
ejpam-6001	413	13	procedure	procedure	NOUN
ejpam-6001	413	14	used	use	VERB
ejpam-6001	413	15	to	to	PART
ejpam-6001	413	16	model	model	VERB
ejpam-6001	413	17	the	the	DET
ejpam-6001	413	18	two	two	NUM
ejpam-6001	413	19	strains	strain	NOUN
ejpam-6001	413	20	.	.	PUNCT
ejpam-6001	414	1	in	in	ADP
ejpam-6001	414	2	the	the	DET
ejpam-6001	414	3	disease	disease	NOUN
ejpam-6001	414	4	-	-	PUNCT
ejpam-6001	414	5	free	free	ADJ
ejpam-6001	414	6	scenario	scenario	NOUN
ejpam-6001	414	7	,	,	PUNCT
ejpam-6001	414	8	we	we	PRON
ejpam-6001	414	9	found	find	VERB
ejpam-6001	414	10	that	that	SCONJ
ejpam-6001	414	11	the	the	DET
ejpam-6001	414	12	two	two	NUM
ejpam-6001	414	13	-	-	PUNCT
ejpam-6001	414	14	strain	strain	NOUN
ejpam-6001	414	15	model	model	NOUN
ejpam-6001	414	16	is	be	AUX
ejpam-6001	414	17	globally	globally	ADV
ejpam-6001	414	18	asymptotically	asymptotically	ADV
ejpam-6001	414	19	stable	stable	ADJ
ejpam-6001	415	1	if	if	SCONJ
ejpam-6001	415	2	r01	r01	PROPN
ejpam-6001	415	3	≤	≤	NOUN
ejpam-6001	415	4	1	1	NUM
ejpam-6001	415	5	or	or	CCONJ
ejpam-6001	415	6	r02	r02	VERB
ejpam-6001	415	7	≤	≤	NUM
ejpam-6001	415	8	1	1	NUM
ejpam-6001	415	9	and	and	CCONJ
ejpam-6001	415	10	locally	locally	ADV
ejpam-6001	415	11	asymptotically	asymptotically	ADV
ejpam-6001	415	12	stable	stable	ADJ
ejpam-6001	415	13	if	if	SCONJ
ejpam-6001	415	14	r01	r01	PROPN
ejpam-6001	415	15	<	<	X
ejpam-6001	415	16	1	1	NUM
ejpam-6001	415	17	or	or	CCONJ
ejpam-6001	415	18	r02	r02	NOUN
ejpam-6001	416	1	.	.	PUNCT
ejpam-6001	417	1	the	the	DET
ejpam-6001	417	2	two	two	NUM
ejpam-6001	417	3	strain	strain	NOUN
ejpam-6001	417	4	model	model	NOUN
ejpam-6001	417	5	’s	’s	PART
ejpam-6001	417	6	global	global	ADJ
ejpam-6001	417	7	stability	stability	NOUN
ejpam-6001	417	8	suggests	suggest	VERB
ejpam-6001	417	9	that	that	SCONJ
ejpam-6001	417	10	the	the	DET
ejpam-6001	417	11	only	only	ADJ
ejpam-6001	417	12	way	way	NOUN
ejpam-6001	417	13	to	to	PART
ejpam-6001	417	14	contain	contain	VERB
ejpam-6001	417	15	the	the	DET
ejpam-6001	417	16	infection	infection	NOUN
ejpam-6001	417	17	is	be	AUX
ejpam-6001	417	18	to	to	PART
ejpam-6001	417	19	lower	lower	VERB
ejpam-6001	417	20	its	its	PRON
ejpam-6001	417	21	basic	basic	ADJ
ejpam-6001	417	22	reproduction	reproduction	NOUN
ejpam-6001	417	23	number	number	NOUN
ejpam-6001	417	24	r01	r01	PROPN
ejpam-6001	417	25	or	or	CCONJ
ejpam-6001	417	26	r02	r02	PROPN
ejpam-6001	417	27	.	.	PUNCT
ejpam-6001	418	1	basic	basic	ADJ
ejpam-6001	418	2	reproduction	reproduction	NOUN
ejpam-6001	418	3	can	can	AUX
ejpam-6001	418	4	be	be	AUX
ejpam-6001	418	5	easily	easily	ADV
ejpam-6001	418	6	managed	manage	VERB
ejpam-6001	418	7	with	with	ADP
ejpam-6001	418	8	less	less	ADJ
ejpam-6001	418	9	than	than	ADP
ejpam-6001	418	10	unity	unity	NOUN
ejpam-6001	418	11	through	through	ADP
ejpam-6001	418	12	social	social	ADJ
ejpam-6001	418	13	distancing	distancing	NOUN
ejpam-6001	418	14	,	,	PUNCT
ejpam-6001	418	15	face	face	NOUN
ejpam-6001	418	16	mask	mask	NOUN
ejpam-6001	418	17	use	use	NOUN
ejpam-6001	418	18	,	,	PUNCT
ejpam-6001	418	19	frequent	frequent	ADJ
ejpam-6001	418	20	hand	hand	NOUN
ejpam-6001	418	21	washing	washing	NOUN
ejpam-6001	418	22	,	,	PUNCT
ejpam-6001	418	23	staying	stay	VERB
ejpam-6001	418	24	at	at	ADP
ejpam-6001	418	25	home	home	NOUN
ejpam-6001	418	26	,	,	PUNCT
ejpam-6001	418	27	and	and	CCONJ
ejpam-6001	418	28	other	other	ADJ
ejpam-6001	418	29	practices	practice	NOUN
ejpam-6001	418	30	.	.	PUNCT
ejpam-6001	419	1	to	to	PART
ejpam-6001	419	2	identify	identify	VERB
ejpam-6001	419	3	the	the	DET
ejpam-6001	419	4	parameters	parameter	NOUN
ejpam-6001	419	5	that	that	PRON
ejpam-6001	419	6	are	be	AUX
ejpam-6001	419	7	most	most	ADV
ejpam-6001	419	8	susceptible	susceptible	ADJ
ejpam-6001	419	9	to	to	ADP
ejpam-6001	419	10	differences	difference	NOUN
ejpam-6001	419	11	in	in	ADP
ejpam-6001	419	12	r0	r0	NOUN
ejpam-6001	419	13	,	,	PUNCT
ejpam-6001	419	14	a	a	DET
ejpam-6001	419	15	global	global	ADJ
ejpam-6001	419	16	sensitivity	sensitivity	NOUN
ejpam-6001	419	17	analysis	analysis	NOUN
ejpam-6001	419	18	is	be	AUX
ejpam-6001	419	19	conducted	conduct	VERB
ejpam-6001	419	20	.	.	PUNCT
ejpam-6001	420	1	according	accord	VERB
ejpam-6001	420	2	to	to	ADP
ejpam-6001	420	3	the	the	DET
ejpam-6001	420	4	sensitivity	sensitivity	NOUN
ejpam-6001	420	5	analysis	analysis	NOUN
ejpam-6001	420	6	,	,	PUNCT
ejpam-6001	420	7	interaction	interaction	NOUN
ejpam-6001	420	8	between	between	ADP
ejpam-6001	420	9	healthy	healthy	ADJ
ejpam-6001	420	10	individuals	individual	NOUN
ejpam-6001	420	11	and	and	CCONJ
ejpam-6001	420	12	strains	strain	NOUN
ejpam-6001	420	13	1	1	NUM
ejpam-6001	420	14	and	and	CCONJ
ejpam-6001	420	15	2	2	NUM
ejpam-6001	420	16	can	can	AUX
ejpam-6001	420	17	spread	spread	VERB
ejpam-6001	420	18	the	the	DET
ejpam-6001	420	19	virus	virus	NOUN
ejpam-6001	420	20	throughout	throughout	ADP
ejpam-6001	420	21	the	the	DET
ejpam-6001	420	22	nation	nation	NOUN
ejpam-6001	420	23	.	.	PUNCT
ejpam-6001	421	1	therefore	therefore	ADV
ejpam-6001	421	2	,	,	PUNCT
ejpam-6001	421	3	in	in	ADP
ejpam-6001	421	4	order	order	NOUN
ejpam-6001	421	5	to	to	PART
ejpam-6001	421	6	stop	stop	VERB
ejpam-6001	421	7	the	the	DET
ejpam-6001	421	8	strains	strain	NOUN
ejpam-6001	421	9	from	from	ADP
ejpam-6001	421	10	spreading	spread	VERB
ejpam-6001	421	11	to	to	ADP
ejpam-6001	421	12	other	other	ADJ
ejpam-6001	421	13	people	people	NOUN
ejpam-6001	421	14	,	,	PUNCT
ejpam-6001	421	15	it	it	PRON
ejpam-6001	421	16	is	be	AUX
ejpam-6001	421	17	imperative	imperative	ADJ
ejpam-6001	421	18	that	that	SCONJ
ejpam-6001	421	19	the	the	PRON
ejpam-6001	421	20	who	who	PRON
ejpam-6001	421	21	’s	’	VERB
ejpam-6001	421	22	instructions	instruction	NOUN
ejpam-6001	421	23	are	be	AUX
ejpam-6001	421	24	properly	properly	ADV
ejpam-6001	421	25	followed	follow	VERB
ejpam-6001	421	26	.	.	PUNCT
ejpam-6001	422	1	using	use	VERB
ejpam-6001	422	2	the	the	DET
ejpam-6001	422	3	values	value	NOUN
ejpam-6001	422	4	of	of	ADP
ejpam-6001	422	5	the	the	DET
ejpam-6001	422	6	real	real	ADJ
ejpam-6001	422	7	parameters	parameter	NOUN
ejpam-6001	422	8	that	that	PRON
ejpam-6001	422	9	are	be	AUX
ejpam-6001	422	10	received	receive	VERB
ejpam-6001	422	11	from	from	ADP
ejpam-6001	422	12	the	the	DET
ejpam-6001	422	13	data	datum	NOUN
ejpam-6001	422	14	fitting	fitting	ADJ
ejpam-6001	422	15	,	,	PUNCT
ejpam-6001	422	16	a	a	DET
ejpam-6001	422	17	unique	unique	ADJ
ejpam-6001	422	18	numerical	numerical	ADJ
ejpam-6001	422	19	approach	approach	NOUN
ejpam-6001	422	20	is	be	AUX
ejpam-6001	422	21	applied	apply	VERB
ejpam-6001	422	22	to	to	PART
ejpam-6001	422	23	generate	generate	VERB
ejpam-6001	422	24	the	the	DET
ejpam-6001	422	25	graphical	graphical	ADJ
ejpam-6001	422	26	result	result	NOUN
ejpam-6001	422	27	for	for	ADP
ejpam-6001	422	28	the	the	DET
ejpam-6001	422	29	model	model	NOUN
ejpam-6001	422	30	.	.	PUNCT
ejpam-6001	423	1	there	there	PRON
ejpam-6001	423	2	were	be	VERB
ejpam-6001	423	3	several	several	ADJ
ejpam-6001	423	4	graphical	graphical	ADJ
ejpam-6001	423	5	representations	representation	NOUN
ejpam-6001	423	6	of	of	ADP
ejpam-6001	423	7	the	the	DET
ejpam-6001	423	8	model	model	NOUN
ejpam-6001	423	9	parameters	parameter	NOUN
ejpam-6001	423	10	and	and	CCONJ
ejpam-6001	423	11	how	how	SCONJ
ejpam-6001	423	12	they	they	PRON
ejpam-6001	423	13	affected	affect	VERB
ejpam-6001	423	14	the	the	DET
ejpam-6001	423	15	elimination	elimination	NOUN
ejpam-6001	423	16	of	of	ADP
ejpam-6001	423	17	the	the	DET
ejpam-6001	423	18	diseases	disease	NOUN
ejpam-6001	423	19	.	.	PUNCT
ejpam-6001	424	1	it	it	PRON
ejpam-6001	424	2	is	be	AUX
ejpam-6001	424	3	evident	evident	ADJ
ejpam-6001	424	4	from	from	ADP
ejpam-6001	424	5	the	the	DET
ejpam-6001	424	6	stated	state	VERB
ejpam-6001	424	7	outcomes	outcome	NOUN
ejpam-6001	424	8	that	that	SCONJ
ejpam-6001	424	9	the	the	DET
ejpam-6001	424	10	disease	disease	NOUN
ejpam-6001	424	11	can	can	AUX
ejpam-6001	424	12	be	be	AUX
ejpam-6001	424	13	eradicated	eradicate	VERB
ejpam-6001	424	14	according	accord	VERB
ejpam-6001	424	15	to	to	ADP
ejpam-6001	424	16	the	the	DET
ejpam-6001	424	17	world	world	PROPN
ejpam-6001	424	18	health	health	PROPN
ejpam-6001	424	19	organization	organization	PROPN
ejpam-6001	424	20	’s	’s	PART
ejpam-6001	424	21	(	(	PUNCT
ejpam-6001	424	22	who	who	PRON
ejpam-6001	424	23	)	)	PUNCT
ejpam-6001	424	24	guidelines	guideline	NOUN
ejpam-6001	424	25	.	.	PUNCT
ejpam-6001	425	1	the	the	DET
ejpam-6001	425	2	model	model	NOUN
ejpam-6001	425	3	that	that	PRON
ejpam-6001	425	4	investigated	investigate	VERB
ejpam-6001	425	5	here	here	ADV
ejpam-6001	425	6	in	in	ADP
ejpam-6001	425	7	this	this	DET
ejpam-6001	425	8	article	article	NOUN
ejpam-6001	425	9	is	be	AUX
ejpam-6001	425	10	useful	useful	ADJ
ejpam-6001	425	11	for	for	ADP
ejpam-6001	425	12	studying	study	VERB
ejpam-6001	425	13	the	the	DET
ejpam-6001	425	14	dynamics	dynamic	NOUN
ejpam-6001	425	15	of	of	ADP
ejpam-6001	425	16	two	two	NUM
ejpam-6001	425	17	circulating	circulate	VERB
ejpam-6001	425	18	covid-19	covid-19	PROPN
ejpam-6001	425	19	strains	strain	VERB
ejpam-6001	425	20	both	both	PRON
ejpam-6001	425	21	for	for	ADP
ejpam-6001	425	22	integer	integer	NOUN
ejpam-6001	425	23	and	and	CCONJ
ejpam-6001	425	24	fractional	fractional	ADJ
ejpam-6001	425	25	order	order	NOUN
ejpam-6001	425	26	.	.	PUNCT
ejpam-6001	426	1	the	the	DET
ejpam-6001	426	2	reason	reason	NOUN
ejpam-6001	426	3	of	of	ADP
ejpam-6001	426	4	incorporating	incorporate	VERB
ejpam-6001	426	5	the	the	DET
ejpam-6001	426	6	convex	convex	ADJ
ejpam-6001	426	7	incidence	incidence	NOUN
ejpam-6001	426	8	rate	rate	NOUN
ejpam-6001	426	9	is	be	AUX
ejpam-6001	426	10	to	to	PART
ejpam-6001	426	11	capture	capture	VERB
ejpam-6001	426	12	nonlinear	nonlinear	ADJ
ejpam-6001	426	13	transmission	transmission	NOUN
ejpam-6001	426	14	effect	effect	NOUN
ejpam-6001	426	15	such	such	ADJ
ejpam-6001	426	16	as	as	ADP
ejpam-6001	426	17	behavioral	behavioral	ADJ
ejpam-6001	426	18	changes	change	NOUN
ejpam-6001	426	19	and	and	CCONJ
ejpam-6001	426	20	saturation	saturation	NOUN
ejpam-6001	426	21	,	,	PUNCT
ejpam-6001	426	22	offering	offer	VERB
ejpam-6001	426	23	more	more	ADV
ejpam-6001	426	24	realistic	realistic	ADJ
ejpam-6001	426	25	disease	disease	NOUN
ejpam-6001	426	26	progression	progression	NOUN
ejpam-6001	426	27	than	than	ADP
ejpam-6001	426	28	traditional	traditional	ADJ
ejpam-6001	426	29	bilinear	bilinear	NOUN
ejpam-6001	426	30	model	model	NOUN
ejpam-6001	426	31	.	.	PUNCT
ejpam-6001	427	1	moreover	moreover	ADV
ejpam-6001	427	2	,	,	PUNCT
ejpam-6001	427	3	the	the	DET
ejpam-6001	427	4	use	use	NOUN
ejpam-6001	427	5	of	of	ADP
ejpam-6001	427	6	fractional	fractional	ADJ
ejpam-6001	427	7	calculus	calculus	NOUN
ejpam-6001	427	8	adds	add	VERB
ejpam-6001	427	9	memory	memory	NOUN
ejpam-6001	427	10	effects	effect	NOUN
ejpam-6001	427	11	,	,	PUNCT
ejpam-6001	427	12	making	make	VERB
ejpam-6001	427	13	the	the	DET
ejpam-6001	427	14	model	model	NOUN
ejpam-6001	427	15	specifically	specifically	ADV
ejpam-6001	427	16	relevant	relevant	ADJ
ejpam-6001	427	17	for	for	ADP
ejpam-6001	427	18	long	long	ADJ
ejpam-6001	427	19	-	-	PUNCT
ejpam-6001	427	20	term	term	NOUN
ejpam-6001	427	21	behavior	behavior	NOUN
ejpam-6001	427	22	,	,	PUNCT
ejpam-6001	427	23	delayed	delay	VERB
ejpam-6001	427	24	responses	response	NOUN
ejpam-6001	427	25	or	or	CCONJ
ejpam-6001	427	26	lingering	linger	VERB
ejpam-6001	427	27	immunity	immunity	NOUN
ejpam-6001	427	28	.	.	PUNCT
ejpam-6001	428	1	analytical	analytical	ADJ
ejpam-6001	428	2	and	and	CCONJ
ejpam-6001	428	3	numerical	numerical	ADJ
ejpam-6001	428	4	results	result	NOUN
ejpam-6001	428	5	provide	provide	VERB
ejpam-6001	428	6	insight	insight	NOUN
ejpam-6001	428	7	into	into	ADP
ejpam-6001	428	8	strain	strain	NOUN
ejpam-6001	428	9	competition	competition	NOUN
ejpam-6001	428	10	,	,	PUNCT
ejpam-6001	428	11	persistence	persistence	NOUN
ejpam-6001	428	12	,	,	PUNCT
ejpam-6001	428	13	and	and	CCONJ
ejpam-6001	428	14	potential	potential	ADJ
ejpam-6001	428	15	resurgence	resurgence	NOUN
ejpam-6001	428	16	patterns	pattern	NOUN
ejpam-6001	428	17	.	.	PUNCT
ejpam-6001	429	1	moreover	moreover	ADV
ejpam-6001	429	2	,	,	PUNCT
ejpam-6001	429	3	there	there	PRON
ejpam-6001	429	4	are	be	VERB
ejpam-6001	429	5	some	some	DET
ejpam-6001	429	6	limitations	limitation	NOUN
ejpam-6001	429	7	that	that	PRON
ejpam-6001	429	8	affects	affect	VERB
ejpam-6001	429	9	its	its	PRON
ejpam-6001	429	10	real	real	ADJ
ejpam-6001	429	11	world	world	NOUN
ejpam-6001	429	12	applicability	applicability	NOUN
ejpam-6001	429	13	.	.	PUNCT
ejpam-6001	430	1	critical	critical	ADJ
ejpam-6001	430	2	factors	factor	NOUN
ejpam-6001	430	3	like	like	ADP
ejpam-6001	430	4	vaccination	vaccination	NOUN
ejpam-6001	430	5	,	,	PUNCT
ejpam-6001	430	6	stochastic	stochastic	ADJ
ejpam-6001	430	7	effects	effect	NOUN
ejpam-6001	430	8	,	,	PUNCT
ejpam-6001	430	9	ongoing	ongoing	ADJ
ejpam-6001	430	10	strain	strain	NOUN
ejpam-6001	430	11	evolution	evolution	NOUN
ejpam-6001	430	12	,	,	PUNCT
ejpam-6001	430	13	testing	testing	NOUN
ejpam-6001	430	14	,	,	PUNCT
ejpam-6001	430	15	and	and	CCONJ
ejpam-6001	430	16	demographic	demographic	ADJ
ejpam-6001	430	17	structure	structure	NOUN
ejpam-6001	430	18	.	.	PUNCT
ejpam-6001	431	1	these	these	DET
ejpam-6001	431	2	limitations	limitation	NOUN
ejpam-6001	431	3	provide	provide	VERB
ejpam-6001	431	4	direction	direction	NOUN
ejpam-6001	431	5	for	for	ADP
ejpam-6001	431	6	future	future	ADJ
ejpam-6001	431	7	research	research	NOUN
ejpam-6001	431	8	where	where	SCONJ
ejpam-6001	431	9	these	these	DET
ejpam-6001	431	10	factors	factor	NOUN
ejpam-6001	431	11	can	can	AUX
ejpam-6001	431	12	be	be	AUX
ejpam-6001	431	13	incorporated	incorporate	VERB
ejpam-6001	431	14	to	to	PART
ejpam-6001	431	15	enhance	enhance	VERB
ejpam-6001	431	16	the	the	DET
ejpam-6001	431	17	model	model	NOUN
ejpam-6001	431	18	accuracy	accuracy	NOUN
ejpam-6001	431	19	.	.	PUNCT
ejpam-6001	432	1	acknowledgements	acknowledgement	NOUN
ejpam-6001	432	2	authors	author	NOUN
ejpam-6001	432	3	are	be	AUX
ejpam-6001	432	4	thankful	thankful	ADJ
ejpam-6001	432	5	to	to	ADP
ejpam-6001	432	6	prince	prince	PROPN
ejpam-6001	432	7	sultan	sultan	PROPN
ejpam-6001	432	8	university	university	PROPN
ejpam-6001	432	9	for	for	ADP
ejpam-6001	432	10	paying	pay	VERB
ejpam-6001	432	11	the	the	DET
ejpam-6001	432	12	apc	apc	NOUN
ejpam-6001	432	13	and	and	CCONJ
ejpam-6001	432	14	support	support	NOUN
ejpam-6001	432	15	.	.	PUNCT
ejpam-6001	433	1	m.	m.	NOUN
ejpam-6001	433	2	riaz	riaz	PROPN
ejpam-6001	433	3	et	et	PROPN
ejpam-6001	433	4	al	al	PROPN
ejpam-6001	433	5	.	.	PUNCT
ejpam-6001	433	6	/	/	SYM
ejpam-6001	433	7	eur	eur	PROPN
ejpam-6001	433	8	.	.	PUNCT
ejpam-6001	434	1	j.	j.	PROPN
ejpam-6001	434	2	pure	pure	PROPN
ejpam-6001	434	3	appl	appl	PROPN
ejpam-6001	434	4	.	.	PROPN
ejpam-6001	434	5	math	math	PROPN
ejpam-6001	434	6	,	,	PUNCT
ejpam-6001	434	7	18	18	NUM
ejpam-6001	434	8	(	(	PUNCT
ejpam-6001	434	9	2	2	NUM
ejpam-6001	434	10	)	)	PUNCT
ejpam-6001	434	11	(	(	PUNCT
ejpam-6001	434	12	2025	2025	NUM
ejpam-6001	434	13	)	)	PUNCT
ejpam-6001	434	14	,	,	PUNCT
ejpam-6001	434	15	6001	6001	NUM
ejpam-6001	434	16	24	24	NUM
ejpam-6001	434	17	of	of	ADP
ejpam-6001	434	18	27	27	NUM
ejpam-6001	434	19	references	reference	NOUN
ejpam-6001	434	20	[	[	X
ejpam-6001	434	21	1	1	NUM
ejpam-6001	434	22	]	]	PUNCT
ejpam-6001	434	23	coronavirus	coronavirus	NOUN
ejpam-6001	434	24	,	,	PUNCT
ejpam-6001	434	25	ethiopia	ethiopia	PROPN
ejpam-6001	434	26	.	.	PROPN
ejpam-6001	434	27	13,968	13,968	NUM
ejpam-6001	434	28	cases	case	NOUN
ejpam-6001	434	29	and	and	CCONJ
ejpam-6001	434	30	223	223	NUM
ejpam-6001	434	31	deaths	death	NOUN
ejpam-6001	434	32	.	.	PUNCT
ejpam-6001	435	1	worldometers	worldometer	NOUN
ejpam-6001	435	2	,	,	PUNCT
ejpam-6001	435	3	2020	2020	NUM
ejpam-6001	435	4	.	.	PUNCT
ejpam-6001	436	1	accessed	access	VERB
ejpam-6001	436	2	on	on	ADP
ejpam-6001	436	3	27	27	NUM
ejpam-6001	436	4	august	august	PROPN
ejpam-6001	436	5	2020	2020	NUM
ejpam-6001	436	6	,	,	PUNCT
ejpam-6001	436	7	https://www.worldometers.info/coronavirus/	https://www.worldometers.info/coronavirus/	PROPN
ejpam-6001	436	8	country	country	NOUN
ejpam-6001	436	9	/	/	SYM
ejpam-6001	436	10	ethiopia	ethiopia	PROPN
ejpam-6001	436	11	.	.	PUNCT
ejpam-6001	437	1	[	[	X
ejpam-6001	437	2	2	2	X
ejpam-6001	437	3	]	]	PUNCT
ejpam-6001	437	4	j.	j.	PROPN
ejpam-6001	437	5	t.	t.	PROPN
ejpam-6001	437	6	wu	wu	PROPN
ejpam-6001	437	7	,	,	PUNCT
ejpam-6001	437	8	k.	k.	PROPN
ejpam-6001	437	9	leung	leung	PROPN
ejpam-6001	437	10	,	,	PUNCT
ejpam-6001	437	11	and	and	CCONJ
ejpam-6001	437	12	g.	g.	PROPN
ejpam-6001	437	13	m.	m.	PROPN
ejpam-6001	437	14	leung	leung	PROPN
ejpam-6001	437	15	.	.	PUNCT
ejpam-6001	438	1	nowcasting	nowcaste	VERB
ejpam-6001	438	2	and	and	CCONJ
ejpam-6001	438	3	forecasting	forecast	VERB
ejpam-6001	438	4	the	the	DET
ejpam-6001	438	5	potential	potential	ADJ
ejpam-6001	438	6	domestic	domestic	ADJ
ejpam-6001	438	7	and	and	CCONJ
ejpam-6001	438	8	international	international	ADJ
ejpam-6001	438	9	spread	spread	NOUN
ejpam-6001	438	10	of	of	ADP
ejpam-6001	438	11	the	the	DET
ejpam-6001	438	12	2019	2019	NUM
ejpam-6001	438	13	-	-	PUNCT
ejpam-6001	438	14	ncov	ncov	NOUN
ejpam-6001	438	15	outbreak	outbreak	NOUN
ejpam-6001	438	16	originating	originate	VERB
ejpam-6001	438	17	in	in	ADP
ejpam-6001	438	18	wuhan	wuhan	PROPN
ejpam-6001	438	19	,	,	PUNCT
ejpam-6001	438	20	china	china	PROPN
ejpam-6001	438	21	:	:	PUNCT
ejpam-6001	438	22	a	a	DET
ejpam-6001	438	23	modelling	model	VERB
ejpam-6001	438	24	study	study	NOUN
ejpam-6001	438	25	.	.	PUNCT
ejpam-6001	439	1	the	the	DET
ejpam-6001	439	2	lancet	lancet	NOUN
ejpam-6001	439	3	,	,	PUNCT
ejpam-6001	439	4	395(10225):689–697	395(10225):689–697	NUM
ejpam-6001	439	5	,	,	PUNCT
ejpam-6001	439	6	2020	2020	NUM
ejpam-6001	439	7	.	.	PUNCT
ejpam-6001	440	1	[	[	X
ejpam-6001	440	2	3	3	X
ejpam-6001	440	3	]	]	PUNCT
ejpam-6001	440	4	s.	s.	PROPN
ejpam-6001	440	5	zhao	zhao	PROPN
ejpam-6001	440	6	,	,	PUNCT
ejpam-6001	440	7	q.	q.	PROPN
ejpam-6001	440	8	lin	lin	PROPN
ejpam-6001	440	9	,	,	PUNCT
ejpam-6001	440	10	j.	j.	PROPN
ejpam-6001	440	11	ran	run	VERB
ejpam-6001	440	12	,	,	PUNCT
ejpam-6001	440	13	s.	s.	PROPN
ejpam-6001	440	14	s.	s.	PROPN
ejpam-6001	440	15	musa	musa	PROPN
ejpam-6001	440	16	,	,	PUNCT
ejpam-6001	440	17	g.	g.	PROPN
ejpam-6001	440	18	yang	yang	PROPN
ejpam-6001	440	19	,	,	PUNCT
ejpam-6001	440	20	w.	w.	PROPN
ejpam-6001	440	21	wang	wang	PROPN
ejpam-6001	440	22	,	,	PUNCT
ejpam-6001	440	23	y.	y.	PROPN
ejpam-6001	440	24	lou	lou	PROPN
ejpam-6001	440	25	,	,	PUNCT
ejpam-6001	440	26	d.	d.	PROPN
ejpam-6001	440	27	gao	gao	PROPN
ejpam-6001	440	28	,	,	PUNCT
ejpam-6001	440	29	l.	l.	PROPN
ejpam-6001	440	30	yang	yang	PROPN
ejpam-6001	440	31	,	,	PUNCT
ejpam-6001	440	32	d.	d.	PROPN
ejpam-6001	440	33	he	he	PRON
ejpam-6001	440	34	,	,	PUNCT
ejpam-6001	440	35	and	and	CCONJ
ejpam-6001	440	36	m.	m.	PROPN
ejpam-6001	440	37	h.	h.	PROPN
ejpam-6001	440	38	wang	wang	PROPN
ejpam-6001	440	39	.	.	PUNCT
ejpam-6001	441	1	preliminary	preliminary	ADJ
ejpam-6001	441	2	estimation	estimation	NOUN
ejpam-6001	441	3	of	of	ADP
ejpam-6001	441	4	the	the	DET
ejpam-6001	441	5	basic	basic	ADJ
ejpam-6001	441	6	reproduction	reproduction	NOUN
ejpam-6001	441	7	number	number	NOUN
ejpam-6001	441	8	of	of	ADP
ejpam-6001	441	9	novel	novel	ADJ
ejpam-6001	441	10	coronavirus	coronavirus	NOUN
ejpam-6001	441	11	(	(	PUNCT
ejpam-6001	441	12	2019	2019	NUM
ejpam-6001	441	13	-	-	PUNCT
ejpam-6001	441	14	ncov	ncov	NOUN
ejpam-6001	441	15	)	)	PUNCT
ejpam-6001	441	16	in	in	ADP
ejpam-6001	441	17	china	china	PROPN
ejpam-6001	441	18	,	,	PUNCT
ejpam-6001	441	19	from	from	ADP
ejpam-6001	441	20	2019	2019	NUM
ejpam-6001	441	21	to	to	ADP
ejpam-6001	441	22	2020	2020	NUM
ejpam-6001	441	23	:	:	PUNCT
ejpam-6001	441	24	a	a	DET
ejpam-6001	441	25	data	data	NOUN
ejpam-6001	441	26	-	-	PUNCT
ejpam-6001	441	27	driven	drive	VERB
ejpam-6001	441	28	analysis	analysis	NOUN
ejpam-6001	441	29	in	in	ADP
ejpam-6001	441	30	the	the	DET
ejpam-6001	441	31	early	early	ADJ
ejpam-6001	441	32	phase	phase	NOUN
ejpam-6001	441	33	of	of	ADP
ejpam-6001	441	34	the	the	DET
ejpam-6001	441	35	outbreak	outbreak	NOUN
ejpam-6001	441	36	.	.	PUNCT
ejpam-6001	442	1	international	international	ADJ
ejpam-6001	442	2	journal	journal	NOUN
ejpam-6001	442	3	of	of	ADP
ejpam-6001	442	4	infectious	infectious	ADJ
ejpam-6001	442	5	diseases	disease	NOUN
ejpam-6001	442	6	,	,	PUNCT
ejpam-6001	442	7	92:214–217	92:214–217	NUM
ejpam-6001	442	8	,	,	PUNCT
ejpam-6001	442	9	2020	2020	NUM
ejpam-6001	442	10	.	.	PUNCT
ejpam-6001	443	1	[	[	X
ejpam-6001	443	2	4	4	NUM
ejpam-6001	443	3	]	]	X
ejpam-6001	443	4	q.	q.	PROPN
ejpam-6001	443	5	li	li	PROPN
ejpam-6001	443	6	,	,	PUNCT
ejpam-6001	443	7	x.	x.	PROPN
ejpam-6001	443	8	guan	guan	PROPN
ejpam-6001	443	9	,	,	PUNCT
ejpam-6001	443	10	p.	p.	PROPN
ejpam-6001	443	11	wu	wu	PROPN
ejpam-6001	443	12	,	,	PUNCT
ejpam-6001	443	13	x.	x.	PROPN
ejpam-6001	443	14	wang	wang	PROPN
ejpam-6001	443	15	,	,	PUNCT
ejpam-6001	443	16	l.	l.	PROPN
ejpam-6001	443	17	zhou	zhou	PROPN
ejpam-6001	443	18	,	,	PUNCT
ejpam-6001	443	19	y.	y.	PROPN
ejpam-6001	443	20	tong	tong	PROPN
ejpam-6001	443	21	,	,	PUNCT
ejpam-6001	443	22	r.	r.	PROPN
ejpam-6001	443	23	ren	ren	PROPN
ejpam-6001	443	24	,	,	PUNCT
ejpam-6001	443	25	k.	k.	PROPN
ejpam-6001	443	26	s.	s.	PROPN
ejpam-6001	443	27	leung	leung	PROPN
ejpam-6001	443	28	,	,	PUNCT
ejpam-6001	443	29	e.	e.	PROPN
ejpam-6001	443	30	h.	h.	PROPN
ejpam-6001	443	31	lau	lau	PROPN
ejpam-6001	443	32	,	,	PUNCT
ejpam-6001	443	33	j.	j.	PROPN
ejpam-6001	443	34	y.	y.	PROPN
ejpam-6001	443	35	wong	wong	PROPN
ejpam-6001	443	36	,	,	PUNCT
ejpam-6001	443	37	and	and	CCONJ
ejpam-6001	443	38	x.	x.	PROPN
ejpam-6001	443	39	xing	xing	PROPN
ejpam-6001	443	40	.	.	PUNCT
ejpam-6001	444	1	early	early	ADJ
ejpam-6001	444	2	transmission	transmission	NOUN
ejpam-6001	444	3	dynamics	dynamic	NOUN
ejpam-6001	444	4	in	in	ADP
ejpam-6001	444	5	wuhan	wuhan	PROPN
ejpam-6001	444	6	,	,	PUNCT
ejpam-6001	444	7	china	china	PROPN
ejpam-6001	444	8	,	,	PUNCT
ejpam-6001	444	9	of	of	ADP
ejpam-6001	444	10	novel	novel	ADJ
ejpam-6001	444	11	coronavirus	coronavirus	NOUN
ejpam-6001	444	12	–	–	PUNCT
ejpam-6001	444	13	infected	infected	ADJ
ejpam-6001	444	14	pneumonia	pneumonia	NOUN
ejpam-6001	444	15	.	.	PUNCT
ejpam-6001	445	1	new	new	PROPN
ejpam-6001	445	2	england	england	PROPN
ejpam-6001	445	3	journal	journal	PROPN
ejpam-6001	445	4	of	of	ADP
ejpam-6001	445	5	medicine	medicine	NOUN
ejpam-6001	445	6	,	,	PUNCT
ejpam-6001	445	7	382(13):1199	382(13):1199	PROPN
ejpam-6001	445	8	–	–	PUNCT
ejpam-6001	445	9	1207	1207	NUM
ejpam-6001	445	10	,	,	PUNCT
ejpam-6001	445	11	2020	2020	NUM
ejpam-6001	445	12	.	.	PUNCT
ejpam-6001	446	1	[	[	X
ejpam-6001	446	2	5	5	NUM
ejpam-6001	446	3	]	]	PUNCT
ejpam-6001	446	4	a.	a.	PROPN
ejpam-6001	446	5	b.	b.	PROPN
ejpam-6001	446	6	gumel	gumel	PROPN
ejpam-6001	446	7	,	,	PUNCT
ejpam-6001	446	8	s.	s.	PROPN
ejpam-6001	446	9	ruan	ruan	PROPN
ejpam-6001	446	10	,	,	PUNCT
ejpam-6001	446	11	t.	t.	PROPN
ejpam-6001	446	12	day	day	PROPN
ejpam-6001	446	13	,	,	PUNCT
ejpam-6001	446	14	j.	j.	PROPN
ejpam-6001	446	15	watmough	watmough	PROPN
ejpam-6001	446	16	,	,	PUNCT
ejpam-6001	446	17	f.	f.	PROPN
ejpam-6001	446	18	brauer	brauer	PROPN
ejpam-6001	446	19	,	,	PUNCT
ejpam-6001	446	20	p.	p.	PROPN
ejpam-6001	446	21	van	van	PROPN
ejpam-6001	446	22	den	den	PROPN
ejpam-6001	446	23	driessche	driessche	PROPN
ejpam-6001	446	24	,	,	PUNCT
ejpam-6001	446	25	d.	d.	PROPN
ejpam-6001	446	26	gabrielson	gabrielson	PROPN
ejpam-6001	446	27	,	,	PUNCT
ejpam-6001	446	28	c.	c.	PROPN
ejpam-6001	446	29	bowman	bowman	PROPN
ejpam-6001	446	30	,	,	PUNCT
ejpam-6001	446	31	m.	m.	PROPN
ejpam-6001	446	32	e.	e.	PROPN
ejpam-6001	446	33	alexander	alexander	PROPN
ejpam-6001	446	34	,	,	PUNCT
ejpam-6001	446	35	s.	s.	PROPN
ejpam-6001	446	36	ardal	ardal	PROPN
ejpam-6001	446	37	,	,	PUNCT
ejpam-6001	446	38	and	and	CCONJ
ejpam-6001	446	39	b.	b.	PROPN
ejpam-6001	446	40	m.	m.	PROPN
ejpam-6001	446	41	sahai	sahai	PROPN
ejpam-6001	446	42	.	.	PUNCT
ejpam-6001	447	1	modelling	model	VERB
ejpam-6001	447	2	strategies	strategy	NOUN
ejpam-6001	447	3	for	for	ADP
ejpam-6001	447	4	controlling	control	VERB
ejpam-6001	447	5	sars	sar	NOUN
ejpam-6001	447	6	outbreaks	outbreak	NOUN
ejpam-6001	447	7	.	.	PUNCT
ejpam-6001	448	1	proceedings	proceeding	NOUN
ejpam-6001	448	2	of	of	ADP
ejpam-6001	448	3	the	the	DET
ejpam-6001	448	4	royal	royal	ADJ
ejpam-6001	448	5	society	society	NOUN
ejpam-6001	448	6	of	of	ADP
ejpam-6001	448	7	london	london	PROPN
ejpam-6001	448	8	.	.	PUNCT
ejpam-6001	449	1	series	series	PROPN
ejpam-6001	449	2	b	b	PROPN
ejpam-6001	449	3	:	:	PUNCT
ejpam-6001	449	4	biological	biological	ADJ
ejpam-6001	449	5	sciences	science	NOUN
ejpam-6001	449	6	,	,	PUNCT
ejpam-6001	449	7	271(1554):2223–2232	271(1554):2223–2232	PROPN
ejpam-6001	449	8	,	,	PUNCT
ejpam-6001	449	9	2004	2004	NUM
ejpam-6001	449	10	.	.	PUNCT
ejpam-6001	450	1	[	[	X
ejpam-6001	450	2	6	6	NUM
ejpam-6001	450	3	]	]	PUNCT
ejpam-6001	450	4	g.	g.	PROPN
ejpam-6001	450	5	rahman	rahman	PROPN
ejpam-6001	450	6	,	,	PUNCT
ejpam-6001	450	7	k.	k.	PROPN
ejpam-6001	450	8	shah	shah	PROPN
ejpam-6001	450	9	,	,	PUNCT
ejpam-6001	450	10	f.	f.	PROPN
ejpam-6001	450	11	haq	haq	PROPN
ejpam-6001	450	12	,	,	PUNCT
ejpam-6001	450	13	and	and	CCONJ
ejpam-6001	450	14	n.	n.	PROPN
ejpam-6001	450	15	ahmad	ahmad	PROPN
ejpam-6001	450	16	.	.	PUNCT
ejpam-6001	451	1	host	host	NOUN
ejpam-6001	451	2	vector	vector	NOUN
ejpam-6001	451	3	dynamics	dynamic	NOUN
ejpam-6001	451	4	of	of	ADP
ejpam-6001	451	5	pine	pine	ADJ
ejpam-6001	451	6	wilt	wilt	ADJ
ejpam-6001	451	7	disease	disease	NOUN
ejpam-6001	451	8	model	model	NOUN
ejpam-6001	451	9	with	with	ADP
ejpam-6001	451	10	convex	convex	ADJ
ejpam-6001	451	11	incidence	incidence	NOUN
ejpam-6001	451	12	rate	rate	NOUN
ejpam-6001	451	13	.	.	PUNCT
ejpam-6001	452	1	chaos	chaos	NOUN
ejpam-6001	452	2	,	,	PUNCT
ejpam-6001	452	3	solitons	soliton	NOUN
ejpam-6001	452	4	&	&	CCONJ
ejpam-6001	452	5	fractals	fractal	NOUN
ejpam-6001	452	6	,	,	PUNCT
ejpam-6001	452	7	113:31–39	113:31–39	NUM
ejpam-6001	452	8	,	,	PUNCT
ejpam-6001	452	9	2018	2018	NUM
ejpam-6001	452	10	.	.	PUNCT
ejpam-6001	453	1	[	[	X
ejpam-6001	453	2	7	7	X
ejpam-6001	453	3	]	]	PUNCT
ejpam-6001	453	4	world	world	NOUN
ejpam-6001	453	5	health	health	NOUN
ejpam-6001	453	6	organization	organization	NOUN
ejpam-6001	453	7	.	.	PUNCT
ejpam-6001	454	1	2019	2019	NUM
ejpam-6001	454	2	novel	novel	ADJ
ejpam-6001	454	3	coronavirus	coronavirus	NOUN
ejpam-6001	454	4	(	(	PUNCT
ejpam-6001	454	5	2019	2019	NUM
ejpam-6001	454	6	-	-	PUNCT
ejpam-6001	454	7	ncov	ncov	ADV
ejpam-6001	454	8	):	):	PUNCT
ejpam-6001	454	9	strategic	strategic	ADJ
ejpam-6001	454	10	preparedness	preparedness	NOUN
ejpam-6001	454	11	and	and	CCONJ
ejpam-6001	454	12	response	response	NOUN
ejpam-6001	454	13	plan	plan	NOUN
ejpam-6001	454	14	.	.	PUNCT
ejpam-6001	455	1	world	world	PROPN
ejpam-6001	455	2	health	health	PROPN
ejpam-6001	455	3	organization	organization	NOUN
ejpam-6001	455	4	,	,	PUNCT
ejpam-6001	455	5	2020	2020	NUM
ejpam-6001	455	6	.	.	PUNCT
ejpam-6001	456	1	https://www.who.int/publications/i/item/	https://www.who.int/publications/i/item/	PRON
ejpam-6001	456	2	strategic	strategic	ADJ
ejpam-6001	456	3	-	-	PUNCT
ejpam-6001	456	4	preparedness	preparedness	NOUN
ejpam-6001	456	5	-	-	PUNCT
ejpam-6001	456	6	and	and	CCONJ
ejpam-6001	456	7	-	-	PUNCT
ejpam-6001	456	8	response	response	NOUN
ejpam-6001	456	9	-	-	PUNCT
ejpam-6001	456	10	plan	plan	NOUN
ejpam-6001	456	11	-	-	PUNCT
ejpam-6001	456	12	for	for	ADP
ejpam-6001	456	13	-	-	PUNCT
ejpam-6001	456	14	the	the	DET
ejpam-6001	456	15	-	-	PUNCT
ejpam-6001	456	16	new	new	ADJ
ejpam-6001	456	17	-	-	PUNCT
ejpam-6001	456	18	coronavirus	coronavirus	NOUN
ejpam-6001	456	19	.	.	PUNCT
ejpam-6001	457	1	[	[	X
ejpam-6001	457	2	8	8	NUM
ejpam-6001	457	3	]	]	X
ejpam-6001	457	4	p.	p.	NOUN
ejpam-6001	457	5	m.	m.	NOUN
ejpam-6001	457	6	nischal	nischal	ADJ
ejpam-6001	457	7	.	.	PUNCT
ejpam-6001	458	1	who	who	PRON
ejpam-6001	458	2	announces	announce	VERB
ejpam-6001	458	3	end	end	NOUN
ejpam-6001	458	4	of	of	ADP
ejpam-6001	458	5	the	the	DET
ejpam-6001	458	6	covid-19	covid-19	PROPN
ejpam-6001	458	7	global	global	ADJ
ejpam-6001	458	8	health	health	NOUN
ejpam-6001	458	9	emergency	emergency	NOUN
ejpam-6001	458	10	.	.	PUNCT
ejpam-6001	459	1	the	the	DET
ejpam-6001	459	2	national	national	PROPN
ejpam-6001	459	3	medical	medical	PROPN
ejpam-6001	459	4	journal	journal	PROPN
ejpam-6001	459	5	of	of	ADP
ejpam-6001	459	6	india	india	PROPN
ejpam-6001	459	7	,	,	PUNCT
ejpam-6001	459	8	36(3):137–138	36(3):137–138	PROPN
ejpam-6001	459	9	,	,	PUNCT
ejpam-6001	459	10	2023	2023	NUM
ejpam-6001	459	11	.	.	PUNCT
ejpam-6001	460	1	[	[	X
ejpam-6001	460	2	9	9	NUM
ejpam-6001	460	3	]	]	AUX
ejpam-6001	460	4	r.	r.	PROPN
ejpam-6001	460	5	ud	ud	AUX
ejpam-6001	460	6	din	din	PROPN
ejpam-6001	460	7	and	and	CCONJ
ejpam-6001	460	8	e.	e.	PROPN
ejpam-6001	460	9	a.	a.	PROPN
ejpam-6001	460	10	algehyne	algehyne	PROPN
ejpam-6001	460	11	.	.	PUNCT
ejpam-6001	461	1	mathematical	mathematical	ADJ
ejpam-6001	461	2	analysis	analysis	NOUN
ejpam-6001	461	3	of	of	ADP
ejpam-6001	461	4	covid-19	covid-19	PROPN
ejpam-6001	461	5	by	by	ADP
ejpam-6001	461	6	using	use	VERB
ejpam-6001	461	7	sir	sir	PROPN
ejpam-6001	461	8	model	model	NOUN
ejpam-6001	461	9	with	with	ADP
ejpam-6001	461	10	convex	convex	ADJ
ejpam-6001	461	11	incidence	incidence	NOUN
ejpam-6001	461	12	rate	rate	NOUN
ejpam-6001	461	13	.	.	PUNCT
ejpam-6001	462	1	results	result	NOUN
ejpam-6001	462	2	in	in	ADP
ejpam-6001	462	3	physics	physics	NOUN
ejpam-6001	462	4	,	,	PUNCT
ejpam-6001	462	5	23:103970	23:103970	NUM
ejpam-6001	462	6	,	,	PUNCT
ejpam-6001	462	7	2021	2021	NUM
ejpam-6001	462	8	.	.	PUNCT
ejpam-6001	463	1	[	[	X
ejpam-6001	463	2	10	10	NUM
ejpam-6001	463	3	]	]	X
ejpam-6001	463	4	q.	q.	PROPN
ejpam-6001	463	5	lin	lin	PROPN
ejpam-6001	463	6	,	,	PUNCT
ejpam-6001	463	7	s.	s.	PROPN
ejpam-6001	463	8	zhao	zhao	PROPN
ejpam-6001	463	9	,	,	PUNCT
ejpam-6001	463	10	d.	d.	PROPN
ejpam-6001	463	11	gao	gao	PROPN
ejpam-6001	463	12	,	,	PUNCT
ejpam-6001	463	13	y.	y.	PROPN
ejpam-6001	463	14	lou	lou	PROPN
ejpam-6001	463	15	,	,	PUNCT
ejpam-6001	463	16	s.	s.	PROPN
ejpam-6001	463	17	yang	yang	PROPN
ejpam-6001	463	18	,	,	PUNCT
ejpam-6001	463	19	s.	s.	PROPN
ejpam-6001	463	20	s.	s.	PROPN
ejpam-6001	463	21	musa	musa	PROPN
ejpam-6001	463	22	,	,	PUNCT
ejpam-6001	463	23	m.	m.	PROPN
ejpam-6001	463	24	h.	h.	PROPN
ejpam-6001	463	25	wang	wang	PROPN
ejpam-6001	463	26	,	,	PUNCT
ejpam-6001	463	27	y.	y.	PROPN
ejpam-6001	463	28	cai	cai	PROPN
ejpam-6001	463	29	,	,	PUNCT
ejpam-6001	463	30	w.	w.	PROPN
ejpam-6001	463	31	wang	wang	PROPN
ejpam-6001	463	32	,	,	PUNCT
ejpam-6001	463	33	l.	l.	PROPN
ejpam-6001	463	34	yang	yang	PROPN
ejpam-6001	463	35	,	,	PUNCT
ejpam-6001	463	36	and	and	CCONJ
ejpam-6001	463	37	d.	d.	PROPN
ejpam-6001	463	38	he	he	PRON
ejpam-6001	463	39	.	.	PUNCT
ejpam-6001	464	1	a	a	DET
ejpam-6001	464	2	conceptual	conceptual	ADJ
ejpam-6001	464	3	model	model	NOUN
ejpam-6001	464	4	for	for	ADP
ejpam-6001	464	5	the	the	DET
ejpam-6001	464	6	coronavirus	coronavirus	NOUN
ejpam-6001	464	7	disease	disease	NOUN
ejpam-6001	464	8	2019	2019	NUM
ejpam-6001	464	9	(	(	PUNCT
ejpam-6001	464	10	covid19	covid19	NOUN
ejpam-6001	464	11	)	)	PUNCT
ejpam-6001	464	12	outbreak	outbreak	NOUN
ejpam-6001	464	13	in	in	ADP
ejpam-6001	464	14	wuhan	wuhan	PROPN
ejpam-6001	464	15	,	,	PUNCT
ejpam-6001	464	16	china	china	PROPN
ejpam-6001	464	17	with	with	ADP
ejpam-6001	464	18	individual	individual	ADJ
ejpam-6001	464	19	reaction	reaction	NOUN
ejpam-6001	464	20	and	and	CCONJ
ejpam-6001	464	21	governmental	governmental	ADJ
ejpam-6001	464	22	action	action	NOUN
ejpam-6001	464	23	.	.	PUNCT
ejpam-6001	465	1	international	international	ADJ
ejpam-6001	465	2	journal	journal	NOUN
ejpam-6001	465	3	of	of	ADP
ejpam-6001	465	4	infectious	infectious	ADJ
ejpam-6001	465	5	diseases	disease	NOUN
ejpam-6001	465	6	,	,	PUNCT
ejpam-6001	465	7	93:211–216	93:211–216	NUM
ejpam-6001	465	8	,	,	PUNCT
ejpam-6001	465	9	2020	2020	NUM
ejpam-6001	465	10	.	.	PUNCT
ejpam-6001	466	1	[	[	X
ejpam-6001	466	2	11	11	NUM
ejpam-6001	466	3	]	]	X
ejpam-6001	466	4	d.	d.	PROPN
ejpam-6001	466	5	s.	s.	PROPN
ejpam-6001	466	6	hui	hui	PROPN
ejpam-6001	466	7	,	,	PUNCT
ejpam-6001	466	8	e.	e.	PROPN
ejpam-6001	466	9	i.	i.	PROPN
ejpam-6001	466	10	azhar	azhar	PROPN
ejpam-6001	466	11	,	,	PUNCT
ejpam-6001	466	12	t.	t.	PROPN
ejpam-6001	466	13	a.	a.	PROPN
ejpam-6001	466	14	madani	madani	PROPN
ejpam-6001	466	15	,	,	PUNCT
ejpam-6001	466	16	f.	f.	PROPN
ejpam-6001	466	17	ntoumi	ntoumi	PROPN
ejpam-6001	466	18	,	,	PUNCT
ejpam-6001	466	19	r.	r.	PROPN
ejpam-6001	466	20	kock	kock	PROPN
ejpam-6001	466	21	,	,	PUNCT
ejpam-6001	466	22	o.	o.	PROPN
ejpam-6001	466	23	dar	dar	PROPN
ejpam-6001	466	24	,	,	PUNCT
ejpam-6001	466	25	g.	g.	PROPN
ejpam-6001	466	26	ippolito	ippolito	PROPN
ejpam-6001	466	27	,	,	PUNCT
ejpam-6001	466	28	t.	t.	PROPN
ejpam-6001	466	29	d.	d.	PROPN
ejpam-6001	466	30	mchugh	mchugh	PROPN
ejpam-6001	466	31	,	,	PUNCT
ejpam-6001	466	32	z.	z.	PROPN
ejpam-6001	466	33	a.	a.	PROPN
ejpam-6001	466	34	memish	memish	PROPN
ejpam-6001	466	35	,	,	PUNCT
ejpam-6001	466	36	c.	c.	PROPN
ejpam-6001	466	37	drosten	drosten	PROPN
ejpam-6001	466	38	,	,	PUNCT
ejpam-6001	466	39	and	and	CCONJ
ejpam-6001	466	40	e.	e.	PROPN
ejpam-6001	466	41	petersen	petersen	PROPN
ejpam-6001	466	42	.	.	PUNCT
ejpam-6001	467	1	the	the	DET
ejpam-6001	467	2	continuing	continue	VERB
ejpam-6001	467	3	2019ncov	2019ncov	NUM
ejpam-6001	467	4	epidemic	epidemic	NOUN
ejpam-6001	467	5	threat	threat	NOUN
ejpam-6001	467	6	of	of	ADP
ejpam-6001	467	7	novel	novel	ADJ
ejpam-6001	467	8	coronaviruses	coronaviruse	NOUN
ejpam-6001	467	9	to	to	ADP
ejpam-6001	467	10	global	global	ADJ
ejpam-6001	467	11	health	health	NOUN
ejpam-6001	467	12	—	—	PUNCT
ejpam-6001	467	13	the	the	DET
ejpam-6001	467	14	latest	late	ADJ
ejpam-6001	467	15	2019	2019	NUM
ejpam-6001	467	16	novel	novel	ADJ
ejpam-6001	467	17	coronavirus	coronavirus	NOUN
ejpam-6001	467	18	outbreak	outbreak	NOUN
ejpam-6001	467	19	in	in	ADP
ejpam-6001	467	20	wuhan	wuhan	PROPN
ejpam-6001	467	21	,	,	PUNCT
ejpam-6001	467	22	china	china	PROPN
ejpam-6001	467	23	.	.	PUNCT
ejpam-6001	468	1	international	international	ADJ
ejpam-6001	468	2	journal	journal	PROPN
ejpam-6001	468	3	of	of	ADP
ejpam-6001	468	4	infectious	infectious	ADJ
ejpam-6001	468	5	diseases	disease	NOUN
ejpam-6001	468	6	,	,	PUNCT
ejpam-6001	468	7	91:264–266	91:264–266	NOUN
ejpam-6001	468	8	,	,	PUNCT
ejpam-6001	468	9	2020	2020	NUM
ejpam-6001	468	10	.	.	PUNCT
ejpam-6001	469	1	[	[	X
ejpam-6001	469	2	12	12	NUM
ejpam-6001	469	3	]	]	X
ejpam-6001	469	4	r.	r.	PROPN
ejpam-6001	469	5	ud	ud	PROPN
ejpam-6001	469	6	din	din	PROPN
ejpam-6001	469	7	,	,	PUNCT
ejpam-6001	469	8	k.	k.	PROPN
ejpam-6001	469	9	shah	shah	PROPN
ejpam-6001	469	10	,	,	PUNCT
ejpam-6001	469	11	i.	i.	PROPN
ejpam-6001	469	12	ahmad	ahmad	PROPN
ejpam-6001	469	13	,	,	PUNCT
ejpam-6001	469	14	and	and	CCONJ
ejpam-6001	469	15	t.	t.	PROPN
ejpam-6001	469	16	abdeljawad	abdeljawad	NOUN
ejpam-6001	469	17	.	.	PUNCT
ejpam-6001	470	1	study	study	NOUN
ejpam-6001	470	2	of	of	ADP
ejpam-6001	470	3	transmission	transmission	NOUN
ejpam-6001	470	4	dynamics	dynamic	NOUN
ejpam-6001	470	5	of	of	ADP
ejpam-6001	470	6	novel	novel	NOUN
ejpam-6001	470	7	covid-19	covid-19	PROPN
ejpam-6001	470	8	by	by	ADP
ejpam-6001	470	9	using	use	VERB
ejpam-6001	470	10	mathematical	mathematical	ADJ
ejpam-6001	470	11	model	model	NOUN
ejpam-6001	470	12	.	.	PUNCT
ejpam-6001	471	1	advances	advance	NOUN
ejpam-6001	471	2	in	in	ADP
ejpam-6001	471	3	difference	difference	NOUN
ejpam-6001	471	4	equations	equation	NOUN
ejpam-6001	471	5	,	,	PUNCT
ejpam-6001	471	6	m.	m.	NOUN
ejpam-6001	471	7	riaz	riaz	PROPN
ejpam-6001	471	8	et	et	PROPN
ejpam-6001	471	9	al	al	PROPN
ejpam-6001	471	10	.	.	PUNCT
ejpam-6001	471	11	/	/	SYM
ejpam-6001	471	12	eur	eur	PROPN
ejpam-6001	471	13	.	.	PUNCT
ejpam-6001	472	1	j.	j.	PROPN
ejpam-6001	472	2	pure	pure	PROPN
ejpam-6001	472	3	appl	appl	PROPN
ejpam-6001	472	4	.	.	PROPN
ejpam-6001	472	5	math	math	PROPN
ejpam-6001	472	6	,	,	PUNCT
ejpam-6001	472	7	18	18	NUM
ejpam-6001	472	8	(	(	PUNCT
ejpam-6001	472	9	2	2	NUM
ejpam-6001	472	10	)	)	PUNCT
ejpam-6001	472	11	(	(	PUNCT
ejpam-6001	472	12	2025	2025	NUM
ejpam-6001	472	13	)	)	PUNCT
ejpam-6001	472	14	,	,	PUNCT
ejpam-6001	472	15	6001	6001	NUM
ejpam-6001	472	16	25	25	NUM
ejpam-6001	472	17	of	of	ADP
ejpam-6001	472	18	27	27	NUM
ejpam-6001	472	19	2020:323	2020:323	NUM
ejpam-6001	472	20	,	,	PUNCT
ejpam-6001	472	21	2020	2020	NUM
ejpam-6001	472	22	.	.	PUNCT
ejpam-6001	473	1	[	[	X
ejpam-6001	473	2	13	13	NUM
ejpam-6001	473	3	]	]	PUNCT
ejpam-6001	473	4	k.	k.	PROPN
ejpam-6001	473	5	shah	shah	PROPN
ejpam-6001	473	6	,	,	PUNCT
ejpam-6001	473	7	m.	m.	NOUN
ejpam-6001	473	8	a.	a.	NOUN
ejpam-6001	473	9	alqudah	alqudah	PROPN
ejpam-6001	473	10	,	,	PUNCT
ejpam-6001	473	11	f.	f.	PROPN
ejpam-6001	473	12	jarad	jarad	PROPN
ejpam-6001	473	13	,	,	PUNCT
ejpam-6001	473	14	and	and	CCONJ
ejpam-6001	473	15	t.	t.	PROPN
ejpam-6001	473	16	abdeljawad	abdeljawad	NOUN
ejpam-6001	473	17	.	.	PUNCT
ejpam-6001	474	1	semi	semi	ADJ
ejpam-6001	474	2	-	-	ADJ
ejpam-6001	474	3	analytical	analytical	ADJ
ejpam-6001	474	4	study	study	NOUN
ejpam-6001	474	5	of	of	ADP
ejpam-6001	474	6	pine	pine	ADJ
ejpam-6001	474	7	wilt	wilt	ADJ
ejpam-6001	474	8	disease	disease	NOUN
ejpam-6001	474	9	model	model	NOUN
ejpam-6001	474	10	with	with	ADP
ejpam-6001	474	11	convex	convex	ADJ
ejpam-6001	474	12	rate	rate	NOUN
ejpam-6001	474	13	under	under	ADP
ejpam-6001	474	14	caputo	caputo	PROPN
ejpam-6001	474	15	–	–	PUNCT
ejpam-6001	474	16	fabrizio	fabrizio	ADJ
ejpam-6001	474	17	fractional	fractional	ADJ
ejpam-6001	474	18	order	order	NOUN
ejpam-6001	474	19	derivative	derivative	NOUN
ejpam-6001	474	20	.	.	PUNCT
ejpam-6001	475	1	chaos	chaos	NOUN
ejpam-6001	475	2	,	,	PUNCT
ejpam-6001	475	3	solitons	soliton	NOUN
ejpam-6001	475	4	&	&	CCONJ
ejpam-6001	475	5	fractals	fractal	NOUN
ejpam-6001	475	6	,	,	PUNCT
ejpam-6001	475	7	135:109754	135:109754	NUM
ejpam-6001	475	8	,	,	PUNCT
ejpam-6001	475	9	2020	2020	NUM
ejpam-6001	475	10	.	.	PUNCT
ejpam-6001	476	1	[	[	X
ejpam-6001	476	2	14	14	NUM
ejpam-6001	476	3	]	]	PUNCT
ejpam-6001	476	4	k.	k.	PROPN
ejpam-6001	476	5	shah	shah	PROPN
ejpam-6001	476	6	,	,	PUNCT
ejpam-6001	476	7	a.	a.	PROPN
ejpam-6001	476	8	khan	khan	PROPN
ejpam-6001	476	9	,	,	PUNCT
ejpam-6001	476	10	b.	b.	PROPN
ejpam-6001	476	11	abdalla	abdalla	PROPN
ejpam-6001	476	12	,	,	PUNCT
ejpam-6001	476	13	t.	t.	NOUN
ejpam-6001	476	14	abdeljawad	abdeljawad	NOUN
ejpam-6001	476	15	,	,	PUNCT
ejpam-6001	476	16	and	and	CCONJ
ejpam-6001	476	17	k.	k.	PROPN
ejpam-6001	476	18	a.	a.	PROPN
ejpam-6001	476	19	khan	khan	PROPN
ejpam-6001	476	20	.	.	PUNCT
ejpam-6001	477	1	a	a	DET
ejpam-6001	477	2	mathematical	mathematical	ADJ
ejpam-6001	477	3	model	model	NOUN
ejpam-6001	477	4	for	for	ADP
ejpam-6001	477	5	nipah	nipah	NOUN
ejpam-6001	477	6	virus	virus	NOUN
ejpam-6001	477	7	disease	disease	NOUN
ejpam-6001	477	8	by	by	ADP
ejpam-6001	477	9	using	use	VERB
ejpam-6001	477	10	piecewise	piecewise	NOUN
ejpam-6001	477	11	fractional	fractional	ADJ
ejpam-6001	477	12	order	order	NOUN
ejpam-6001	477	13	caputo	caputo	PROPN
ejpam-6001	477	14	derivative	derivative	PROPN
ejpam-6001	477	15	.	.	PUNCT
ejpam-6001	478	1	fractals	fractal	NOUN
ejpam-6001	478	2	,	,	PUNCT
ejpam-6001	478	3	32(2):2440013	32(2):2440013	NUM
ejpam-6001	478	4	,	,	PUNCT
ejpam-6001	478	5	2024	2024	NUM
ejpam-6001	478	6	.	.	PUNCT
ejpam-6001	479	1	[	[	X
ejpam-6001	479	2	15	15	NUM
ejpam-6001	479	3	]	]	X
ejpam-6001	479	4	s.	s.	PROPN
ejpam-6001	479	5	t.	t.	PROPN
ejpam-6001	479	6	thabet	thabet	PROPN
ejpam-6001	479	7	,	,	PUNCT
ejpam-6001	479	8	m.	m.	NOUN
ejpam-6001	479	9	s.	s.	PROPN
ejpam-6001	479	10	abdo	abdo	PROPN
ejpam-6001	479	11	,	,	PUNCT
ejpam-6001	479	12	k.	k.	PROPN
ejpam-6001	479	13	shah	shah	PROPN
ejpam-6001	479	14	,	,	PUNCT
ejpam-6001	479	15	and	and	CCONJ
ejpam-6001	479	16	t.	t.	PROPN
ejpam-6001	479	17	abdeljawad	abdeljawad	NOUN
ejpam-6001	479	18	.	.	PUNCT
ejpam-6001	480	1	study	study	NOUN
ejpam-6001	480	2	of	of	ADP
ejpam-6001	480	3	transmission	transmission	NOUN
ejpam-6001	480	4	dynamics	dynamic	NOUN
ejpam-6001	480	5	of	of	ADP
ejpam-6001	480	6	covid-19	covid-19	PROPN
ejpam-6001	480	7	mathematical	mathematical	ADJ
ejpam-6001	480	8	model	model	NOUN
ejpam-6001	480	9	under	under	ADP
ejpam-6001	480	10	abc	abc	PROPN
ejpam-6001	480	11	fractional	fractional	PROPN
ejpam-6001	480	12	order	order	NOUN
ejpam-6001	480	13	derivative	derivative	NOUN
ejpam-6001	480	14	.	.	PUNCT
ejpam-6001	481	1	results	result	NOUN
ejpam-6001	481	2	in	in	ADP
ejpam-6001	481	3	physics	physics	NOUN
ejpam-6001	481	4	,	,	PUNCT
ejpam-6001	481	5	19:103507	19:103507	NUM
ejpam-6001	481	6	,	,	PUNCT
ejpam-6001	481	7	2020	2020	NUM
ejpam-6001	481	8	.	.	PUNCT
ejpam-6001	482	1	[	[	X
ejpam-6001	482	2	16	16	NUM
ejpam-6001	482	3	]	]	X
ejpam-6001	482	4	e.	e.	PROPN
ejpam-6001	482	5	atangana	atangana	PROPN
ejpam-6001	482	6	and	and	CCONJ
ejpam-6001	482	7	a.	a.	PROPN
ejpam-6001	482	8	atangana	atangana	PROPN
ejpam-6001	482	9	.	.	PUNCT
ejpam-6001	483	1	facemasks	facemask	NOUN
ejpam-6001	483	2	simple	simple	ADJ
ejpam-6001	483	3	but	but	CCONJ
ejpam-6001	483	4	powerful	powerful	ADJ
ejpam-6001	483	5	weapons	weapon	NOUN
ejpam-6001	483	6	to	to	PART
ejpam-6001	483	7	protect	protect	VERB
ejpam-6001	483	8	against	against	ADP
ejpam-6001	483	9	covid-19	covid-19	PROPN
ejpam-6001	483	10	spread	spread	NOUN
ejpam-6001	483	11	:	:	PUNCT
ejpam-6001	483	12	can	can	AUX
ejpam-6001	483	13	they	they	PRON
ejpam-6001	483	14	have	have	VERB
ejpam-6001	483	15	side	side	ADJ
ejpam-6001	483	16	effects	effect	NOUN
ejpam-6001	483	17	?	?	PUNCT
ejpam-6001	484	1	results	result	NOUN
ejpam-6001	484	2	in	in	ADP
ejpam-6001	484	3	physics	physics	NOUN
ejpam-6001	484	4	,	,	PUNCT
ejpam-6001	484	5	19:103425	19:103425	NOUN
ejpam-6001	484	6	,	,	PUNCT
ejpam-6001	484	7	2020	2020	NUM
ejpam-6001	484	8	.	.	PUNCT
ejpam-6001	485	1	[	[	X
ejpam-6001	485	2	17	17	NUM
ejpam-6001	485	3	]	]	PUNCT
ejpam-6001	485	4	a.	a.	NOUN
ejpam-6001	485	5	atangana	atangana	PROPN
ejpam-6001	485	6	.	.	PUNCT
ejpam-6001	486	1	fractional	fractional	ADJ
ejpam-6001	486	2	discretization	discretization	NOUN
ejpam-6001	486	3	:	:	PUNCT
ejpam-6001	486	4	the	the	DET
ejpam-6001	486	5	african	african	PROPN
ejpam-6001	486	6	’s	’s	PART
ejpam-6001	486	7	tortoise	tortoise	NOUN
ejpam-6001	486	8	walk	walk	NOUN
ejpam-6001	486	9	.	.	PUNCT
ejpam-6001	487	1	chaos	chaos	NOUN
ejpam-6001	487	2	,	,	PUNCT
ejpam-6001	487	3	solitons	soliton	NOUN
ejpam-6001	487	4	&	&	CCONJ
ejpam-6001	487	5	fractals	fractal	NOUN
ejpam-6001	487	6	,	,	PUNCT
ejpam-6001	487	7	130:109399	130:109399	NUM
ejpam-6001	487	8	,	,	PUNCT
ejpam-6001	487	9	2020	2020	NUM
ejpam-6001	487	10	.	.	PUNCT
ejpam-6001	488	1	[	[	X
ejpam-6001	488	2	18	18	NUM
ejpam-6001	488	3	]	]	X
ejpam-6001	488	4	d.	d.	PROPN
ejpam-6001	488	5	kumar	kumar	PROPN
ejpam-6001	488	6	,	,	PUNCT
ejpam-6001	488	7	j.	j.	PROPN
ejpam-6001	488	8	singh	singh	PROPN
ejpam-6001	488	9	,	,	PUNCT
ejpam-6001	488	10	m.	m.	NOUN
ejpam-6001	488	11	al	al	PROPN
ejpam-6001	488	12	-	-	PUNCT
ejpam-6001	488	13	qurashi	qurashi	PROPN
ejpam-6001	488	14	,	,	PUNCT
ejpam-6001	488	15	and	and	CCONJ
ejpam-6001	488	16	d.	d.	PROPN
ejpam-6001	488	17	baleanu	baleanu	PROPN
ejpam-6001	488	18	.	.	PUNCT
ejpam-6001	489	1	a	a	DET
ejpam-6001	489	2	new	new	ADJ
ejpam-6001	489	3	fractional	fractional	ADJ
ejpam-6001	489	4	sirs	sir	NOUN
ejpam-6001	489	5	-	-	PUNCT
ejpam-6001	489	6	si	si	NOUN
ejpam-6001	489	7	malaria	malaria	NOUN
ejpam-6001	489	8	disease	disease	NOUN
ejpam-6001	489	9	model	model	NOUN
ejpam-6001	489	10	with	with	ADP
ejpam-6001	489	11	application	application	NOUN
ejpam-6001	489	12	of	of	ADP
ejpam-6001	489	13	vaccines	vaccine	NOUN
ejpam-6001	489	14	,	,	PUNCT
ejpam-6001	489	15	antimalarial	antimalarial	ADJ
ejpam-6001	489	16	drugs	drug	NOUN
ejpam-6001	489	17	,	,	PUNCT
ejpam-6001	489	18	and	and	CCONJ
ejpam-6001	489	19	spraying	spray	VERB
ejpam-6001	489	20	.	.	PUNCT
ejpam-6001	490	1	advances	advance	NOUN
ejpam-6001	490	2	in	in	ADP
ejpam-6001	490	3	difference	difference	NOUN
ejpam-6001	490	4	equations	equation	NOUN
ejpam-6001	490	5	,	,	PUNCT
ejpam-6001	490	6	2019(1):278	2019(1):278	NUM
ejpam-6001	490	7	,	,	PUNCT
ejpam-6001	490	8	2019	2019	NUM
ejpam-6001	490	9	.	.	PUNCT
ejpam-6001	491	1	[	[	X
ejpam-6001	491	2	19	19	NUM
ejpam-6001	491	3	]	]	PUNCT
ejpam-6001	491	4	a.	a.	NOUN
ejpam-6001	491	5	j.	j.	PROPN
ejpam-6001	491	6	arenas	arenas	PROPN
ejpam-6001	491	7	,	,	PUNCT
ejpam-6001	491	8	g.	g.	PROPN
ejpam-6001	491	9	gonzález	gonzález	PROPN
ejpam-6001	491	10	-	-	PUNCT
ejpam-6001	491	11	parra	parra	PROPN
ejpam-6001	491	12	,	,	PUNCT
ejpam-6001	491	13	and	and	CCONJ
ejpam-6001	491	14	b.	b.	PROPN
ejpam-6001	491	15	m.	m.	PROPN
ejpam-6001	491	16	chen	chen	PROPN
ejpam-6001	491	17	-	-	PUNCT
ejpam-6001	491	18	charpentier	charpentier	NOUN
ejpam-6001	491	19	.	.	PUNCT
ejpam-6001	492	1	construction	construction	NOUN
ejpam-6001	492	2	of	of	ADP
ejpam-6001	492	3	nonstandard	nonstandard	ADJ
ejpam-6001	492	4	finite	finite	ADJ
ejpam-6001	492	5	difference	difference	NOUN
ejpam-6001	492	6	schemes	scheme	NOUN
ejpam-6001	492	7	for	for	ADP
ejpam-6001	492	8	the	the	DET
ejpam-6001	492	9	si	si	PROPN
ejpam-6001	492	10	and	and	CCONJ
ejpam-6001	492	11	sir	sir	NOUN
ejpam-6001	492	12	epidemic	epidemic	NOUN
ejpam-6001	492	13	models	model	NOUN
ejpam-6001	492	14	of	of	ADP
ejpam-6001	492	15	fractional	fractional	ADJ
ejpam-6001	492	16	order	order	NOUN
ejpam-6001	492	17	.	.	PUNCT
ejpam-6001	493	1	mathematics	mathematic	NOUN
ejpam-6001	493	2	and	and	CCONJ
ejpam-6001	493	3	computers	computer	NOUN
ejpam-6001	493	4	in	in	ADP
ejpam-6001	493	5	simulation	simulation	NOUN
ejpam-6001	493	6	,	,	PUNCT
ejpam-6001	493	7	121:48–63	121:48–63	NUM
ejpam-6001	493	8	,	,	PUNCT
ejpam-6001	493	9	2016	2016	NUM
ejpam-6001	493	10	.	.	PUNCT
ejpam-6001	494	1	[	[	X
ejpam-6001	494	2	20	20	NUM
ejpam-6001	494	3	]	]	PUNCT
ejpam-6001	494	4	m.	m.	NOUN
ejpam-6001	494	5	t.	t.	PROPN
ejpam-6001	494	6	hoang	hoang	PROPN
ejpam-6001	494	7	and	and	CCONJ
ejpam-6001	494	8	o.	o.	PROPN
ejpam-6001	494	9	f.	f.	PROPN
ejpam-6001	494	10	egbelowo	egbelowo	PROPN
ejpam-6001	494	11	.	.	PUNCT
ejpam-6001	495	1	dynamics	dynamic	NOUN
ejpam-6001	495	2	of	of	ADP
ejpam-6001	495	3	a	a	DET
ejpam-6001	495	4	fractional	fractional	ADJ
ejpam-6001	495	5	-	-	PUNCT
ejpam-6001	495	6	order	order	NOUN
ejpam-6001	495	7	hepatitis	hepatitis	PROPN
ejpam-6001	495	8	b	b	PROPN
ejpam-6001	495	9	epidemic	epidemic	NOUN
ejpam-6001	495	10	model	model	NOUN
ejpam-6001	495	11	and	and	CCONJ
ejpam-6001	495	12	its	its	PRON
ejpam-6001	495	13	solutions	solution	NOUN
ejpam-6001	495	14	by	by	ADP
ejpam-6001	495	15	nonstandard	nonstandard	ADJ
ejpam-6001	495	16	numerical	numerical	ADJ
ejpam-6001	495	17	schemes	scheme	NOUN
ejpam-6001	495	18	.	.	PUNCT
ejpam-6001	496	1	pages	page	NOUN
ejpam-6001	496	2	127–153	127–153	NUM
ejpam-6001	496	3	,	,	PUNCT
ejpam-6001	496	4	2020	2020	NUM
ejpam-6001	496	5	.	.	PUNCT
ejpam-6001	497	1	[	[	X
ejpam-6001	497	2	21	21	NUM
ejpam-6001	497	3	]	]	PUNCT
ejpam-6001	497	4	m.	m.	PROPN
ejpam-6001	497	5	u.	u.	PROPN
ejpam-6001	497	6	rahman	rahman	PROPN
ejpam-6001	497	7	,	,	PUNCT
ejpam-6001	497	8	m.	m.	NOUN
ejpam-6001	497	9	arfan	arfan	PROPN
ejpam-6001	497	10	,	,	PUNCT
ejpam-6001	497	11	z.	z.	PROPN
ejpam-6001	497	12	shah	shah	PROPN
ejpam-6001	497	13	,	,	PUNCT
ejpam-6001	497	14	p.	p.	PROPN
ejpam-6001	497	15	kumam	kumam	PROPN
ejpam-6001	497	16	,	,	PUNCT
ejpam-6001	497	17	and	and	CCONJ
ejpam-6001	497	18	m.	m.	PROPN
ejpam-6001	497	19	shutaywi	shutaywi	PROPN
ejpam-6001	497	20	.	.	PUNCT
ejpam-6001	498	1	nonlinear	nonlinear	ADJ
ejpam-6001	498	2	fractional	fractional	ADJ
ejpam-6001	498	3	mathematical	mathematical	ADJ
ejpam-6001	498	4	model	model	NOUN
ejpam-6001	498	5	of	of	ADP
ejpam-6001	498	6	tuberculosis	tuberculosis	NOUN
ejpam-6001	498	7	(	(	PUNCT
ejpam-6001	498	8	tb	tb	NOUN
ejpam-6001	498	9	)	)	PUNCT
ejpam-6001	498	10	disease	disease	NOUN
ejpam-6001	498	11	with	with	ADP
ejpam-6001	498	12	incomplete	incomplete	ADJ
ejpam-6001	498	13	treatment	treatment	NOUN
ejpam-6001	498	14	under	under	ADP
ejpam-6001	498	15	atangana	atangana	PROPN
ejpam-6001	498	16	-	-	PUNCT
ejpam-6001	498	17	baleanu	baleanu	PROPN
ejpam-6001	498	18	derivative	derivative	NOUN
ejpam-6001	498	19	.	.	PUNCT
ejpam-6001	499	1	alexandria	alexandria	PROPN
ejpam-6001	499	2	engineering	engineering	PROPN
ejpam-6001	499	3	journal	journal	PROPN
ejpam-6001	499	4	,	,	PUNCT
ejpam-6001	499	5	60(3):2845	60(3):2845	NUM
ejpam-6001	499	6	–	–	PUNCT
ejpam-6001	499	7	2856	2856	NUM
ejpam-6001	499	8	,	,	PUNCT
ejpam-6001	499	9	2021	2021	NUM
ejpam-6001	499	10	.	.	PUNCT
ejpam-6001	500	1	[	[	X
ejpam-6001	500	2	22	22	NUM
ejpam-6001	500	3	]	]	PUNCT
ejpam-6001	500	4	t.	t.	PROPN
ejpam-6001	500	5	q.	q.	PROPN
ejpam-6001	500	6	tang	tang	PROPN
ejpam-6001	500	7	,	,	PUNCT
ejpam-6001	500	8	z.	z.	PROPN
ejpam-6001	500	9	shah	shah	PROPN
ejpam-6001	500	10	,	,	PUNCT
ejpam-6001	500	11	r.	r.	PROPN
ejpam-6001	500	12	jan	jan	PROPN
ejpam-6001	500	13	,	,	PUNCT
ejpam-6001	500	14	and	and	CCONJ
ejpam-6001	500	15	e.	e.	PROPN
ejpam-6001	500	16	alzahrani	alzahrani	PROPN
ejpam-6001	500	17	.	.	PUNCT
ejpam-6001	501	1	modeling	model	VERB
ejpam-6001	501	2	the	the	DET
ejpam-6001	501	3	dynamics	dynamic	NOUN
ejpam-6001	501	4	of	of	ADP
ejpam-6001	501	5	tumor	tumor	NOUN
ejpam-6001	501	6	–	–	PUNCT
ejpam-6001	501	7	immune	immune	ADJ
ejpam-6001	501	8	cells	cell	NOUN
ejpam-6001	501	9	interactions	interaction	NOUN
ejpam-6001	501	10	via	via	ADP
ejpam-6001	501	11	fractional	fractional	ADJ
ejpam-6001	501	12	calculus	calculus	NOUN
ejpam-6001	501	13	.	.	PUNCT
ejpam-6001	502	1	the	the	DET
ejpam-6001	502	2	european	european	PROPN
ejpam-6001	502	3	physical	physical	PROPN
ejpam-6001	502	4	journal	journal	PROPN
ejpam-6001	502	5	plus	plus	CCONJ
ejpam-6001	502	6	,	,	PUNCT
ejpam-6001	502	7	137(3):367	137(3):367	NUM
ejpam-6001	502	8	,	,	PUNCT
ejpam-6001	502	9	2022	2022	NUM
ejpam-6001	502	10	.	.	PUNCT
ejpam-6001	503	1	[	[	X
ejpam-6001	503	2	23	23	NUM
ejpam-6001	503	3	]	]	PUNCT
ejpam-6001	503	4	t.	t.	PROPN
ejpam-6001	503	5	q.	q.	PROPN
ejpam-6001	503	6	tang	tang	PROPN
ejpam-6001	503	7	,	,	PUNCT
ejpam-6001	503	8	r.	r.	PROPN
ejpam-6001	503	9	jan	jan	PROPN
ejpam-6001	503	10	,	,	PUNCT
ejpam-6001	503	11	e.	e.	PROPN
ejpam-6001	503	12	bonyah	bonyah	PROPN
ejpam-6001	503	13	,	,	PUNCT
ejpam-6001	503	14	z.	z.	PROPN
ejpam-6001	503	15	shah	shah	PROPN
ejpam-6001	503	16	,	,	PUNCT
ejpam-6001	503	17	and	and	CCONJ
ejpam-6001	503	18	e.	e.	PROPN
ejpam-6001	503	19	alzahrani	alzahrani	PROPN
ejpam-6001	503	20	.	.	PUNCT
ejpam-6001	504	1	qualitative	qualitative	ADJ
ejpam-6001	504	2	analysis	analysis	NOUN
ejpam-6001	504	3	of	of	ADP
ejpam-6001	504	4	the	the	DET
ejpam-6001	504	5	transmission	transmission	NOUN
ejpam-6001	504	6	dynamics	dynamic	NOUN
ejpam-6001	504	7	of	of	ADP
ejpam-6001	504	8	dengue	dengue	NOUN
ejpam-6001	504	9	with	with	ADP
ejpam-6001	504	10	the	the	DET
ejpam-6001	504	11	effect	effect	NOUN
ejpam-6001	504	12	of	of	ADP
ejpam-6001	504	13	memory	memory	NOUN
ejpam-6001	504	14	,	,	PUNCT
ejpam-6001	504	15	reinfection	reinfection	NOUN
ejpam-6001	504	16	,	,	PUNCT
ejpam-6001	504	17	and	and	CCONJ
ejpam-6001	504	18	vaccination	vaccination	NOUN
ejpam-6001	504	19	.	.	PUNCT
ejpam-6001	505	1	computational	computational	ADJ
ejpam-6001	505	2	and	and	CCONJ
ejpam-6001	505	3	mathematical	mathematical	ADJ
ejpam-6001	505	4	methods	method	NOUN
ejpam-6001	505	5	in	in	ADP
ejpam-6001	505	6	medicine	medicine	NOUN
ejpam-6001	505	7	,	,	PUNCT
ejpam-6001	505	8	2022:7893570	2022:7893570	NUM
ejpam-6001	505	9	,	,	PUNCT
ejpam-6001	505	10	2022	2022	NUM
ejpam-6001	505	11	.	.	PUNCT
ejpam-6001	506	1	[	[	X
ejpam-6001	506	2	24	24	NUM
ejpam-6001	506	3	]	]	PUNCT
ejpam-6001	506	4	t.	t.	PROPN
ejpam-6001	506	5	q.	q.	PROPN
ejpam-6001	506	6	tang	tang	PROPN
ejpam-6001	506	7	,	,	PUNCT
ejpam-6001	506	8	r.	r.	PROPN
ejpam-6001	506	9	jan	jan	PROPN
ejpam-6001	506	10	,	,	PUNCT
ejpam-6001	506	11	z.	z.	PROPN
ejpam-6001	506	12	ur	ur	PROPN
ejpam-6001	506	13	rehman	rehman	PROPN
ejpam-6001	506	14	,	,	PUNCT
ejpam-6001	506	15	z.	z.	PROPN
ejpam-6001	506	16	shah	shah	PROPN
ejpam-6001	506	17	,	,	PUNCT
ejpam-6001	506	18	n.	n.	PROPN
ejpam-6001	506	19	vrinceanu	vrinceanu	PROPN
ejpam-6001	506	20	,	,	PUNCT
ejpam-6001	506	21	and	and	CCONJ
ejpam-6001	506	22	m.	m.	NOUN
ejpam-6001	506	23	racheriu	racheriu	PROPN
ejpam-6001	506	24	.	.	PUNCT
ejpam-6001	507	1	modeling	model	VERB
ejpam-6001	507	2	the	the	DET
ejpam-6001	507	3	dynamics	dynamic	NOUN
ejpam-6001	507	4	of	of	ADP
ejpam-6001	507	5	chronic	chronic	ADJ
ejpam-6001	507	6	myelogenous	myelogenous	ADJ
ejpam-6001	507	7	leukemia	leukemia	NOUN
ejpam-6001	507	8	through	through	ADP
ejpam-6001	507	9	fractional	fractional	ADJ
ejpam-6001	507	10	-	-	PUNCT
ejpam-6001	507	11	calculus	calculus	NOUN
ejpam-6001	507	12	.	.	PUNCT
ejpam-6001	508	1	fractals	fractal	NOUN
ejpam-6001	508	2	,	,	PUNCT
ejpam-6001	508	3	30(10):2240262	30(10):2240262	NUM
ejpam-6001	508	4	,	,	PUNCT
ejpam-6001	508	5	2022	2022	NUM
ejpam-6001	508	6	.	.	PUNCT
ejpam-6001	509	1	[	[	X
ejpam-6001	509	2	25	25	NUM
ejpam-6001	509	3	]	]	PUNCT
ejpam-6001	509	4	z.	z.	PROPN
ejpam-6001	509	5	shah	shah	PROPN
ejpam-6001	509	6	,	,	PUNCT
ejpam-6001	509	7	r.	r.	PROPN
ejpam-6001	509	8	jan	jan	PROPN
ejpam-6001	509	9	,	,	PUNCT
ejpam-6001	509	10	p.	p.	PROPN
ejpam-6001	509	11	kumam	kumam	PROPN
ejpam-6001	509	12	,	,	PUNCT
ejpam-6001	509	13	w.	w.	PROPN
ejpam-6001	509	14	deebani	deebani	PROPN
ejpam-6001	509	15	,	,	PUNCT
ejpam-6001	509	16	and	and	CCONJ
ejpam-6001	509	17	m.	m.	PROPN
ejpam-6001	509	18	shutaywi	shutaywi	PROPN
ejpam-6001	509	19	.	.	PUNCT
ejpam-6001	510	1	fractional	fractional	ADJ
ejpam-6001	510	2	dynamics	dynamic	NOUN
ejpam-6001	510	3	of	of	ADP
ejpam-6001	510	4	hiv	hiv	PROPN
ejpam-6001	510	5	with	with	ADP
ejpam-6001	510	6	source	source	NOUN
ejpam-6001	510	7	term	term	NOUN
ejpam-6001	510	8	for	for	ADP
ejpam-6001	510	9	the	the	DET
ejpam-6001	510	10	supply	supply	NOUN
ejpam-6001	510	11	of	of	ADP
ejpam-6001	510	12	new	new	PROPN
ejpam-6001	510	13	cd4	cd4	PROPN
ejpam-6001	510	14	+	+	PROPN
ejpam-6001	510	15	t	t	PROPN
ejpam-6001	510	16	-	-	PUNCT
ejpam-6001	510	17	cells	cell	NOUN
ejpam-6001	510	18	depending	depend	VERB
ejpam-6001	510	19	on	on	ADP
ejpam-6001	510	20	the	the	DET
ejpam-6001	510	21	viral	viral	ADJ
ejpam-6001	510	22	load	load	NOUN
ejpam-6001	510	23	via	via	ADP
ejpam-6001	510	24	caputo	caputo	PROPN
ejpam-6001	510	25	–	–	PUNCT
ejpam-6001	510	26	fabrizio	fabrizio	PROPN
ejpam-6001	510	27	derivative	derivative	NOUN
ejpam-6001	510	28	.	.	PUNCT
ejpam-6001	511	1	molecules	molecule	NOUN
ejpam-6001	511	2	,	,	PUNCT
ejpam-6001	511	3	26(6):1806	26(6):1806	NUM
ejpam-6001	511	4	,	,	PUNCT
ejpam-6001	511	5	2021	2021	NUM
ejpam-6001	511	6	.	.	PUNCT
ejpam-6001	512	1	[	[	X
ejpam-6001	512	2	26	26	NUM
ejpam-6001	512	3	]	]	PUNCT
ejpam-6001	512	4	l.	l.	PROPN
ejpam-6001	512	5	j.	j.	PROPN
ejpam-6001	512	6	allen	allen	PROPN
ejpam-6001	512	7	,	,	PUNCT
ejpam-6001	512	8	m.	m.	NOUN
ejpam-6001	512	9	langlais	langlais	PROPN
ejpam-6001	512	10	,	,	PUNCT
ejpam-6001	512	11	and	and	CCONJ
ejpam-6001	512	12	c.	c.	PROPN
ejpam-6001	512	13	j.	j.	PROPN
ejpam-6001	512	14	phillips	phillips	PROPN
ejpam-6001	512	15	.	.	PUNCT
ejpam-6001	513	1	the	the	DET
ejpam-6001	513	2	dynamics	dynamic	NOUN
ejpam-6001	513	3	of	of	ADP
ejpam-6001	513	4	two	two	NUM
ejpam-6001	513	5	viral	viral	ADJ
ejpam-6001	513	6	infections	infection	NOUN
ejpam-6001	513	7	in	in	ADP
ejpam-6001	513	8	a	a	DET
ejpam-6001	513	9	single	single	ADJ
ejpam-6001	513	10	host	host	NOUN
ejpam-6001	513	11	population	population	NOUN
ejpam-6001	513	12	with	with	ADP
ejpam-6001	513	13	applications	application	NOUN
ejpam-6001	513	14	to	to	ADP
ejpam-6001	513	15	hantavirus	hantavirus	PROPN
ejpam-6001	513	16	.	.	PUNCT
ejpam-6001	514	1	mathematical	mathematical	ADJ
ejpam-6001	514	2	biosciences	bioscience	NOUN
ejpam-6001	514	3	,	,	PUNCT
ejpam-6001	514	4	186(2):191–217	186(2):191–217	NUM
ejpam-6001	514	5	,	,	PUNCT
ejpam-6001	514	6	2003	2003	NUM
ejpam-6001	514	7	.	.	PUNCT
ejpam-6001	515	1	m.	m.	NOUN
ejpam-6001	515	2	riaz	riaz	PROPN
ejpam-6001	515	3	et	et	PROPN
ejpam-6001	515	4	al	al	PROPN
ejpam-6001	515	5	.	.	PUNCT
ejpam-6001	515	6	/	/	SYM
ejpam-6001	515	7	eur	eur	PROPN
ejpam-6001	515	8	.	.	PUNCT
ejpam-6001	516	1	j.	j.	PROPN
ejpam-6001	516	2	pure	pure	PROPN
ejpam-6001	516	3	appl	appl	PROPN
ejpam-6001	516	4	.	.	PROPN
ejpam-6001	516	5	math	math	PROPN
ejpam-6001	516	6	,	,	PUNCT
ejpam-6001	516	7	18	18	NUM
ejpam-6001	516	8	(	(	PUNCT
ejpam-6001	516	9	2	2	NUM
ejpam-6001	516	10	)	)	PUNCT
ejpam-6001	516	11	(	(	PUNCT
ejpam-6001	516	12	2025	2025	NUM
ejpam-6001	516	13	)	)	PUNCT
ejpam-6001	516	14	,	,	PUNCT
ejpam-6001	516	15	6001	6001	NUM
ejpam-6001	516	16	26	26	NUM
ejpam-6001	516	17	of	of	ADP
ejpam-6001	516	18	27	27	NUM
ejpam-6001	516	19	[	[	SYM
ejpam-6001	516	20	27	27	NUM
ejpam-6001	516	21	]	]	PUNCT
ejpam-6001	516	22	m.	m.	NOUN
ejpam-6001	516	23	nuno	nuno	PROPN
ejpam-6001	516	24	,	,	PUNCT
ejpam-6001	516	25	g.	g.	PROPN
ejpam-6001	516	26	chowell	chowell	PROPN
ejpam-6001	516	27	,	,	PUNCT
ejpam-6001	516	28	x.	x.	PROPN
ejpam-6001	516	29	wang	wang	PROPN
ejpam-6001	516	30	,	,	PUNCT
ejpam-6001	516	31	and	and	CCONJ
ejpam-6001	516	32	c.	c.	PROPN
ejpam-6001	516	33	castillo	castillo	PROPN
ejpam-6001	516	34	-	-	PUNCT
ejpam-6001	516	35	chavez	chavez	PROPN
ejpam-6001	516	36	.	.	PUNCT
ejpam-6001	517	1	on	on	ADP
ejpam-6001	517	2	the	the	DET
ejpam-6001	517	3	role	role	NOUN
ejpam-6001	517	4	of	of	ADP
ejpam-6001	517	5	cross	cross	NOUN
ejpam-6001	517	6	-	-	NOUN
ejpam-6001	517	7	immunity	immunity	NOUN
ejpam-6001	517	8	and	and	CCONJ
ejpam-6001	517	9	vaccines	vaccine	NOUN
ejpam-6001	517	10	on	on	ADP
ejpam-6001	517	11	the	the	DET
ejpam-6001	517	12	survival	survival	NOUN
ejpam-6001	517	13	of	of	ADP
ejpam-6001	517	14	less	less	ADV
ejpam-6001	517	15	fit	fit	ADJ
ejpam-6001	517	16	flu	flu	NOUN
ejpam-6001	517	17	-	-	PUNCT
ejpam-6001	517	18	strains	strain	NOUN
ejpam-6001	517	19	.	.	PUNCT
ejpam-6001	518	1	theoretical	theoretical	ADJ
ejpam-6001	518	2	population	population	NOUN
ejpam-6001	518	3	biology	biology	NOUN
ejpam-6001	518	4	,	,	PUNCT
ejpam-6001	518	5	71(1):20–29	71(1):20–29	X
ejpam-6001	518	6	,	,	PUNCT
ejpam-6001	518	7	2007	2007	NUM
ejpam-6001	518	8	.	.	PUNCT
ejpam-6001	519	1	[	[	X
ejpam-6001	519	2	28	28	NUM
ejpam-6001	519	3	]	]	X
ejpam-6001	519	4	t.	t.	NOUN
ejpam-6001	519	5	lazebnik	lazebnik	PROPN
ejpam-6001	519	6	and	and	CCONJ
ejpam-6001	519	7	s.	s.	PROPN
ejpam-6001	519	8	bunimovich	bunimovich	PROPN
ejpam-6001	519	9	-	-	PUNCT
ejpam-6001	519	10	mendrazitsky	mendrazitsky	NOUN
ejpam-6001	519	11	.	.	PUNCT
ejpam-6001	520	1	generic	generic	ADJ
ejpam-6001	520	2	approach	approach	NOUN
ejpam-6001	520	3	for	for	ADP
ejpam-6001	520	4	mathematical	mathematical	ADJ
ejpam-6001	520	5	model	model	NOUN
ejpam-6001	520	6	of	of	ADP
ejpam-6001	520	7	multi	multi	ADJ
ejpam-6001	520	8	-	-	ADJ
ejpam-6001	520	9	strain	strain	ADJ
ejpam-6001	520	10	pandemics	pandemic	NOUN
ejpam-6001	520	11	.	.	PUNCT
ejpam-6001	521	1	plos	plos	PROPN
ejpam-6001	521	2	one	one	NUM
ejpam-6001	521	3	,	,	PUNCT
ejpam-6001	521	4	17(4):e0260683	17(4):e0260683	NUM
ejpam-6001	521	5	,	,	PUNCT
ejpam-6001	521	6	2022	2022	NUM
ejpam-6001	521	7	.	.	PUNCT
ejpam-6001	522	1	[	[	X
ejpam-6001	522	2	29	29	NUM
ejpam-6001	522	3	]	]	PUNCT
ejpam-6001	522	4	e.	e.	PROPN
ejpam-6001	522	5	f.	f.	PROPN
ejpam-6001	522	6	arruda	arruda	PROPN
ejpam-6001	522	7	,	,	PUNCT
ejpam-6001	522	8	s.	s.	PROPN
ejpam-6001	522	9	s.	s.	PROPN
ejpam-6001	522	10	das	das	PROPN
ejpam-6001	522	11	,	,	PUNCT
ejpam-6001	522	12	c.	c.	PROPN
ejpam-6001	522	13	m.	m.	PROPN
ejpam-6001	522	14	dias	dias	PROPN
ejpam-6001	522	15	,	,	PUNCT
ejpam-6001	522	16	and	and	CCONJ
ejpam-6001	522	17	d.	d.	PROPN
ejpam-6001	522	18	h.	h.	PROPN
ejpam-6001	522	19	pastore	pastore	PROPN
ejpam-6001	522	20	.	.	PUNCT
ejpam-6001	523	1	modelling	modelling	NOUN
ejpam-6001	523	2	and	and	CCONJ
ejpam-6001	523	3	optimal	optimal	ADJ
ejpam-6001	523	4	control	control	NOUN
ejpam-6001	523	5	of	of	ADP
ejpam-6001	523	6	multi	multi	ADJ
ejpam-6001	523	7	strain	strain	NOUN
ejpam-6001	523	8	epidemics	epidemic	NOUN
ejpam-6001	523	9	,	,	PUNCT
ejpam-6001	523	10	with	with	ADP
ejpam-6001	523	11	application	application	NOUN
ejpam-6001	523	12	to	to	ADP
ejpam-6001	523	13	covid-19	covid-19	PROPN
ejpam-6001	523	14	.	.	PUNCT
ejpam-6001	524	1	plos	plos	PROPN
ejpam-6001	524	2	one	one	NUM
ejpam-6001	524	3	,	,	PUNCT
ejpam-6001	524	4	16(9):e0257512	16(9):e0257512	NUM
ejpam-6001	524	5	,	,	PUNCT
ejpam-6001	524	6	2021	2021	NUM
ejpam-6001	524	7	.	.	PUNCT
ejpam-6001	525	1	[	[	X
ejpam-6001	525	2	30	30	NUM
ejpam-6001	525	3	]	]	X
ejpam-6001	525	4	o.	o.	PROPN
ejpam-6001	525	5	yagan	yagan	PROPN
ejpam-6001	525	6	,	,	PUNCT
ejpam-6001	525	7	a.	a.	NOUN
ejpam-6001	525	8	sridhar	sridhar	PROPN
ejpam-6001	525	9	,	,	PUNCT
ejpam-6001	525	10	r.	r.	PROPN
ejpam-6001	525	11	eletreby	eletreby	PROPN
ejpam-6001	525	12	,	,	PUNCT
ejpam-6001	525	13	s.	s.	PROPN
ejpam-6001	525	14	levin	levin	PROPN
ejpam-6001	525	15	,	,	PUNCT
ejpam-6001	525	16	j.	j.	PROPN
ejpam-6001	525	17	b.	b.	PROPN
ejpam-6001	525	18	plotkin	plotkin	PROPN
ejpam-6001	525	19	,	,	PUNCT
ejpam-6001	525	20	and	and	CCONJ
ejpam-6001	525	21	h.	h.	PROPN
ejpam-6001	525	22	v.	v.	PROPN
ejpam-6001	525	23	poor	poor	PROPN
ejpam-6001	525	24	.	.	PUNCT
ejpam-6001	526	1	modeling	modeling	NOUN
ejpam-6001	526	2	and	and	CCONJ
ejpam-6001	526	3	analysis	analysis	NOUN
ejpam-6001	526	4	of	of	ADP
ejpam-6001	526	5	the	the	DET
ejpam-6001	526	6	spread	spread	NOUN
ejpam-6001	526	7	of	of	ADP
ejpam-6001	526	8	covid-19	covid-19	PROPN
ejpam-6001	526	9	under	under	ADP
ejpam-6001	526	10	a	a	DET
ejpam-6001	526	11	multiple	multiple	ADJ
ejpam-6001	526	12	-	-	PUNCT
ejpam-6001	526	13	strain	strain	NOUN
ejpam-6001	526	14	model	model	NOUN
ejpam-6001	526	15	with	with	ADP
ejpam-6001	526	16	mutations	mutation	NOUN
ejpam-6001	526	17	.	.	PUNCT
ejpam-6001	527	1	harvard	harvard	PROPN
ejpam-6001	527	2	data	data	PROPN
ejpam-6001	527	3	science	science	PROPN
ejpam-6001	527	4	review	review	PROPN
ejpam-6001	527	5	,	,	PUNCT
ejpam-6001	527	6	4(1	4(1	NOUN
ejpam-6001	527	7	)	)	PUNCT
ejpam-6001	527	8	,	,	PUNCT
ejpam-6001	527	9	2021	2021	NUM
ejpam-6001	527	10	.	.	PUNCT
ejpam-6001	528	1	[	[	X
ejpam-6001	528	2	31	31	NUM
ejpam-6001	528	3	]	]	PUNCT
ejpam-6001	528	4	m.	m.	NOUN
ejpam-6001	528	5	massard	massard	PROPN
ejpam-6001	528	6	,	,	PUNCT
ejpam-6001	528	7	r.	r.	PROPN
ejpam-6001	528	8	eftimie	eftimie	PROPN
ejpam-6001	528	9	,	,	PUNCT
ejpam-6001	528	10	a.	a.	NOUN
ejpam-6001	528	11	perasso	perasso	NOUN
ejpam-6001	528	12	,	,	PUNCT
ejpam-6001	528	13	and	and	CCONJ
ejpam-6001	528	14	b.	b.	PROPN
ejpam-6001	528	15	saussereau	saussereau	PROPN
ejpam-6001	528	16	.	.	PUNCT
ejpam-6001	529	1	a	a	DET
ejpam-6001	529	2	multi	multi	ADJ
ejpam-6001	529	3	-	-	ADJ
ejpam-6001	529	4	strain	strain	ADJ
ejpam-6001	529	5	epidemic	epidemic	NOUN
ejpam-6001	529	6	model	model	NOUN
ejpam-6001	529	7	for	for	ADP
ejpam-6001	529	8	covid-19	covid-19	PROPN
ejpam-6001	529	9	with	with	ADP
ejpam-6001	529	10	infected	infected	ADJ
ejpam-6001	529	11	and	and	CCONJ
ejpam-6001	529	12	asymptomatic	asymptomatic	ADJ
ejpam-6001	529	13	cases	case	NOUN
ejpam-6001	529	14	:	:	PUNCT
ejpam-6001	529	15	application	application	NOUN
ejpam-6001	529	16	to	to	ADP
ejpam-6001	529	17	french	french	ADJ
ejpam-6001	529	18	data	datum	NOUN
ejpam-6001	529	19	.	.	PUNCT
ejpam-6001	530	1	journal	journal	PROPN
ejpam-6001	530	2	of	of	ADP
ejpam-6001	530	3	theoretical	theoretical	ADJ
ejpam-6001	530	4	biology	biology	NOUN
ejpam-6001	530	5	,	,	PUNCT
ejpam-6001	530	6	545:111117	545:111117	NUM
ejpam-6001	530	7	,	,	PUNCT
ejpam-6001	530	8	2022	2022	NUM
ejpam-6001	530	9	.	.	PUNCT
ejpam-6001	531	1	[	[	X
ejpam-6001	531	2	32	32	NUM
ejpam-6001	531	3	]	]	X
ejpam-6001	531	4	o.	o.	PROPN
ejpam-6001	531	5	khyar	khyar	PROPN
ejpam-6001	531	6	and	and	CCONJ
ejpam-6001	531	7	k.	k.	PROPN
ejpam-6001	531	8	allali	allali	PROPN
ejpam-6001	531	9	.	.	PUNCT
ejpam-6001	532	1	global	global	ADJ
ejpam-6001	532	2	dynamics	dynamic	NOUN
ejpam-6001	532	3	of	of	ADP
ejpam-6001	532	4	a	a	DET
ejpam-6001	532	5	multi	multi	ADJ
ejpam-6001	532	6	-	-	ADJ
ejpam-6001	532	7	strain	strain	ADJ
ejpam-6001	532	8	seir	seir	ADJ
ejpam-6001	532	9	epidemic	epidemic	NOUN
ejpam-6001	532	10	model	model	NOUN
ejpam-6001	532	11	with	with	ADP
ejpam-6001	532	12	general	general	ADJ
ejpam-6001	532	13	incidence	incidence	NOUN
ejpam-6001	532	14	rates	rate	NOUN
ejpam-6001	532	15	:	:	PUNCT
ejpam-6001	532	16	application	application	NOUN
ejpam-6001	532	17	to	to	ADP
ejpam-6001	532	18	covid-19	covid-19	PROPN
ejpam-6001	532	19	pandemic	pandemic	ADJ
ejpam-6001	532	20	.	.	PUNCT
ejpam-6001	533	1	nonlinear	nonlinear	ADJ
ejpam-6001	533	2	dynamics	dynamic	NOUN
ejpam-6001	533	3	,	,	PUNCT
ejpam-6001	533	4	102(1):489–509	102(1):489–509	NUM
ejpam-6001	533	5	,	,	PUNCT
ejpam-6001	533	6	2020	2020	NUM
ejpam-6001	533	7	.	.	PUNCT
ejpam-6001	534	1	[	[	X
ejpam-6001	534	2	33	33	NUM
ejpam-6001	534	3	]	]	X
ejpam-6001	534	4	y.	y.	PROPN
ejpam-6001	534	5	lou	lou	PROPN
ejpam-6001	534	6	and	and	CCONJ
ejpam-6001	534	7	r.	r.	PROPN
ejpam-6001	534	8	b.	b.	PROPN
ejpam-6001	534	9	salako	salako	PROPN
ejpam-6001	534	10	.	.	PUNCT
ejpam-6001	535	1	control	control	NOUN
ejpam-6001	535	2	strategies	strategy	NOUN
ejpam-6001	535	3	for	for	ADP
ejpam-6001	535	4	a	a	DET
ejpam-6001	535	5	multi	multi	ADJ
ejpam-6001	535	6	-	-	ADJ
ejpam-6001	535	7	strain	strain	ADJ
ejpam-6001	535	8	epidemic	epidemic	NOUN
ejpam-6001	535	9	model	model	NOUN
ejpam-6001	535	10	.	.	PUNCT
ejpam-6001	536	1	bulletin	bulletin	NOUN
ejpam-6001	536	2	of	of	ADP
ejpam-6001	536	3	mathematical	mathematical	ADJ
ejpam-6001	536	4	biology	biology	NOUN
ejpam-6001	536	5	,	,	PUNCT
ejpam-6001	536	6	84(10):110	84(10):110	NUM
ejpam-6001	536	7	,	,	PUNCT
ejpam-6001	536	8	2022	2022	NUM
ejpam-6001	536	9	.	.	PUNCT
ejpam-6001	537	1	[	[	X
ejpam-6001	537	2	34	34	NUM
ejpam-6001	537	3	]	]	X
ejpam-6001	537	4	e.	e.	PROPN
ejpam-6001	537	5	a.	a.	PROPN
ejpam-6001	537	6	algehyne	algehyne	PROPN
ejpam-6001	537	7	and	and	CCONJ
ejpam-6001	537	8	r.	r.	PROPN
ejpam-6001	537	9	ud	ud	PROPN
ejpam-6001	537	10	din	din	PROPN
ejpam-6001	537	11	.	.	PROPN
ejpam-6001	538	1	on	on	ADP
ejpam-6001	538	2	global	global	ADJ
ejpam-6001	538	3	dynamics	dynamic	NOUN
ejpam-6001	538	4	of	of	ADP
ejpam-6001	538	5	covid-19	covid-19	PROPN
ejpam-6001	538	6	by	by	ADP
ejpam-6001	538	7	using	use	VERB
ejpam-6001	538	8	sqir	sqir	NOUN
ejpam-6001	538	9	type	type	NOUN
ejpam-6001	538	10	model	model	NOUN
ejpam-6001	538	11	under	under	ADP
ejpam-6001	538	12	non	non	ADJ
ejpam-6001	538	13	-	-	ADJ
ejpam-6001	538	14	linear	linear	ADJ
ejpam-6001	538	15	saturated	saturated	ADJ
ejpam-6001	538	16	incidence	incidence	NOUN
ejpam-6001	538	17	rate	rate	NOUN
ejpam-6001	538	18	.	.	PUNCT
ejpam-6001	539	1	alexandria	alexandria	PROPN
ejpam-6001	539	2	engineering	engineering	PROPN
ejpam-6001	539	3	journal	journal	PROPN
ejpam-6001	539	4	,	,	PUNCT
ejpam-6001	539	5	60(1):393–399	60(1):393–399	PROPN
ejpam-6001	539	6	,	,	PUNCT
ejpam-6001	539	7	2021	2021	NUM
ejpam-6001	539	8	.	.	PUNCT
ejpam-6001	540	1	[	[	X
ejpam-6001	540	2	35	35	NUM
ejpam-6001	540	3	]	]	PUNCT
ejpam-6001	540	4	k.	k.	PROPN
ejpam-6001	540	5	shah	shah	PROPN
ejpam-6001	540	6	,	,	PUNCT
ejpam-6001	540	7	t.	t.	NOUN
ejpam-6001	540	8	abdeljawad	abdeljawad	NOUN
ejpam-6001	540	9	,	,	PUNCT
ejpam-6001	540	10	and	and	CCONJ
ejpam-6001	540	11	r.	r.	AUX
ejpam-6001	540	12	ud	ud	ADV
ejpam-6001	540	13	din	din	PROPN
ejpam-6001	540	14	.	.	PROPN
ejpam-6001	540	15	to	to	PART
ejpam-6001	540	16	study	study	VERB
ejpam-6001	540	17	the	the	DET
ejpam-6001	540	18	transmission	transmission	NOUN
ejpam-6001	540	19	dynamic	dynamic	NOUN
ejpam-6001	540	20	of	of	ADP
ejpam-6001	540	21	sarscov-2	sarscov-2	NUM
ejpam-6001	540	22	using	use	VERB
ejpam-6001	540	23	nonlinear	nonlinear	ADJ
ejpam-6001	540	24	saturated	saturate	VERB
ejpam-6001	540	25	incidence	incidence	NOUN
ejpam-6001	540	26	rate	rate	NOUN
ejpam-6001	540	27	.	.	PUNCT
ejpam-6001	541	1	physica	physica	PROPN
ejpam-6001	541	2	a	a	DET
ejpam-6001	541	3	:	:	PUNCT
ejpam-6001	541	4	statistical	statistical	ADJ
ejpam-6001	541	5	mechanics	mechanic	NOUN
ejpam-6001	541	6	and	and	CCONJ
ejpam-6001	541	7	its	its	PRON
ejpam-6001	541	8	applications	application	NOUN
ejpam-6001	541	9	,	,	PUNCT
ejpam-6001	541	10	604:127915	604:127915	NOUN
ejpam-6001	541	11	,	,	PUNCT
ejpam-6001	541	12	2022	2022	NUM
ejpam-6001	541	13	.	.	PUNCT
ejpam-6001	542	1	[	[	X
ejpam-6001	542	2	36	36	NUM
ejpam-6001	542	3	]	]	X
ejpam-6001	542	4	p.	p.	NOUN
ejpam-6001	542	5	m.	m.	NOUN
ejpam-6001	542	6	manning	manning	NOUN
ejpam-6001	542	7	and	and	CCONJ
ejpam-6001	542	8	g.	g.	PROPN
ejpam-6001	542	9	f.	f.	PROPN
ejpam-6001	542	10	margrave	margrave	PROPN
ejpam-6001	542	11	.	.	PUNCT
ejpam-6001	543	1	introduction	introduction	NOUN
ejpam-6001	543	2	to	to	ADP
ejpam-6001	543	3	non	non	ADJ
ejpam-6001	543	4	-	-	ADJ
ejpam-6001	543	5	standard	standard	ADJ
ejpam-6001	543	6	finite	finite	ADJ
ejpam-6001	543	7	-	-	PUNCT
ejpam-6001	543	8	difference	difference	NOUN
ejpam-6001	543	9	modelling	modelling	NOUN
ejpam-6001	543	10	.	.	PUNCT
ejpam-6001	544	1	crewes	crewe	NOUN
ejpam-6001	544	2	research	research	NOUN
ejpam-6001	544	3	report	report	NOUN
ejpam-6001	544	4	,	,	PUNCT
ejpam-6001	544	5	18:1–10	18:1–10	NUM
ejpam-6001	544	6	,	,	PUNCT
ejpam-6001	544	7	2006	2006	NUM
ejpam-6001	544	8	.	.	PUNCT
ejpam-6001	545	1	[	[	X
ejpam-6001	545	2	37	37	NUM
ejpam-6001	545	3	]	]	PUNCT
ejpam-6001	545	4	m.	m.	NOUN
ejpam-6001	545	5	arfan	arfan	PROPN
ejpam-6001	545	6	,	,	PUNCT
ejpam-6001	545	7	m.	m.	NOUN
ejpam-6001	545	8	m.	m.	PROPN
ejpam-6001	545	9	lashin	lashin	PROPN
ejpam-6001	545	10	,	,	PUNCT
ejpam-6001	545	11	p.	p.	PROPN
ejpam-6001	545	12	sunthrayuth	sunthrayuth	PROPN
ejpam-6001	545	13	,	,	PUNCT
ejpam-6001	545	14	k.	k.	PROPN
ejpam-6001	545	15	shah	shah	PROPN
ejpam-6001	545	16	,	,	PUNCT
ejpam-6001	545	17	a.	a.	PROPN
ejpam-6001	545	18	ullah	ullah	PROPN
ejpam-6001	545	19	,	,	PUNCT
ejpam-6001	545	20	k.	k.	PROPN
ejpam-6001	545	21	iskakova	iskakova	PROPN
ejpam-6001	545	22	,	,	PUNCT
ejpam-6001	545	23	m.	m.	PROPN
ejpam-6001	545	24	r.	r.	PROPN
ejpam-6001	545	25	gorji	gorji	PROPN
ejpam-6001	545	26	,	,	PUNCT
ejpam-6001	545	27	and	and	CCONJ
ejpam-6001	545	28	t.	t.	PROPN
ejpam-6001	545	29	abdeljawad	abdeljawad	NOUN
ejpam-6001	545	30	.	.	PUNCT
ejpam-6001	546	1	on	on	ADP
ejpam-6001	546	2	nonlinear	nonlinear	ADJ
ejpam-6001	546	3	dynamics	dynamic	NOUN
ejpam-6001	546	4	of	of	ADP
ejpam-6001	546	5	covid-19	covid-19	PROPN
ejpam-6001	546	6	disease	disease	NOUN
ejpam-6001	546	7	model	model	NOUN
ejpam-6001	546	8	corresponding	correspond	VERB
ejpam-6001	546	9	to	to	ADP
ejpam-6001	546	10	nonsingular	nonsingular	ADJ
ejpam-6001	546	11	fractional	fractional	ADJ
ejpam-6001	546	12	order	order	NOUN
ejpam-6001	546	13	derivative	derivative	NOUN
ejpam-6001	546	14	.	.	PUNCT
ejpam-6001	547	1	medical	medical	PROPN
ejpam-6001	547	2	&	&	CCONJ
ejpam-6001	547	3	biological	biological	PROPN
ejpam-6001	547	4	engineering	engineering	PROPN
ejpam-6001	547	5	&	&	CCONJ
ejpam-6001	547	6	computing	computing	PROPN
ejpam-6001	547	7	,	,	PUNCT
ejpam-6001	547	8	60(11):3169–3185	60(11):3169–3185	NUM
ejpam-6001	547	9	,	,	PUNCT
ejpam-6001	547	10	2022	2022	NUM
ejpam-6001	547	11	.	.	PUNCT
ejpam-6001	548	1	[	[	X
ejpam-6001	548	2	38	38	NUM
ejpam-6001	548	3	]	]	PUNCT
ejpam-6001	548	4	m.	m.	NOUN
ejpam-6001	548	5	arfan	arfan	PROPN
ejpam-6001	548	6	,	,	PUNCT
ejpam-6001	548	7	k.	k.	PROPN
ejpam-6001	548	8	shah	shah	PROPN
ejpam-6001	548	9	,	,	PUNCT
ejpam-6001	548	10	and	and	CCONJ
ejpam-6001	548	11	a.	a.	PROPN
ejpam-6001	548	12	ullah	ullah	PROPN
ejpam-6001	548	13	.	.	PUNCT
ejpam-6001	549	1	some	some	DET
ejpam-6001	549	2	theoretical	theoretical	ADJ
ejpam-6001	549	3	and	and	CCONJ
ejpam-6001	549	4	computational	computational	ADJ
ejpam-6001	549	5	results	result	NOUN
ejpam-6001	549	6	about	about	ADP
ejpam-6001	549	7	covid-19	covid-19	PROPN
ejpam-6001	549	8	by	by	ADP
ejpam-6001	549	9	using	use	VERB
ejpam-6001	549	10	a	a	DET
ejpam-6001	549	11	fractional	fractional	ADJ
ejpam-6001	549	12	-	-	PUNCT
ejpam-6001	549	13	order	order	NOUN
ejpam-6001	549	14	mathematical	mathematical	ADJ
ejpam-6001	549	15	model	model	NOUN
ejpam-6001	549	16	.	.	PUNCT
ejpam-6001	550	1	in	in	ADP
ejpam-6001	550	2	fractional	fractional	ADJ
ejpam-6001	550	3	-	-	PUNCT
ejpam-6001	550	4	order	order	NOUN
ejpam-6001	550	5	modeling	modeling	NOUN
ejpam-6001	550	6	of	of	ADP
ejpam-6001	550	7	dynamic	dynamic	ADJ
ejpam-6001	550	8	systems	system	NOUN
ejpam-6001	550	9	with	with	ADP
ejpam-6001	550	10	applications	application	NOUN
ejpam-6001	550	11	in	in	ADP
ejpam-6001	550	12	optimization	optimization	NOUN
ejpam-6001	550	13	,	,	PUNCT
ejpam-6001	550	14	signal	signal	NOUN
ejpam-6001	550	15	processing	processing	NOUN
ejpam-6001	550	16	and	and	CCONJ
ejpam-6001	550	17	control	control	NOUN
ejpam-6001	550	18	,	,	PUNCT
ejpam-6001	550	19	pages	page	NOUN
ejpam-6001	550	20	37–68	37–68	NUM
ejpam-6001	550	21	.	.	PUNCT
ejpam-6001	550	22	academic	academic	ADJ
ejpam-6001	550	23	press	press	NOUN
ejpam-6001	550	24	,	,	PUNCT
ejpam-6001	550	25	2022	2022	NUM
ejpam-6001	550	26	.	.	PUNCT
ejpam-6001	551	1	[	[	X
ejpam-6001	551	2	39	39	NUM
ejpam-6001	551	3	]	]	PUNCT
ejpam-6001	551	4	p.	p.	NOUN
ejpam-6001	551	5	minayev	minayev	PROPN
ejpam-6001	551	6	and	and	CCONJ
ejpam-6001	551	7	n.	n.	PROPN
ejpam-6001	551	8	ferguson	ferguson	PROPN
ejpam-6001	551	9	.	.	PUNCT
ejpam-6001	552	1	improving	improve	VERB
ejpam-6001	552	2	the	the	DET
ejpam-6001	552	3	realism	realism	NOUN
ejpam-6001	552	4	of	of	ADP
ejpam-6001	552	5	deterministic	deterministic	ADJ
ejpam-6001	552	6	multi	multi	ADJ
ejpam-6001	552	7	-	-	ADJ
ejpam-6001	552	8	strain	strain	ADJ
ejpam-6001	552	9	models	model	NOUN
ejpam-6001	552	10	:	:	PUNCT
ejpam-6001	552	11	implications	implication	NOUN
ejpam-6001	552	12	for	for	ADP
ejpam-6001	552	13	modelling	model	VERB
ejpam-6001	552	14	influenza	influenza	NOUN
ejpam-6001	552	15	a.	a.	NOUN
ejpam-6001	552	16	journal	journal	PROPN
ejpam-6001	552	17	of	of	ADP
ejpam-6001	552	18	the	the	DET
ejpam-6001	552	19	royal	royal	ADJ
ejpam-6001	552	20	society	society	NOUN
ejpam-6001	552	21	interface	interface	NOUN
ejpam-6001	552	22	,	,	PUNCT
ejpam-6001	552	23	6(35):509–518	6(35):509–518	NUM
ejpam-6001	552	24	,	,	PUNCT
ejpam-6001	552	25	2009	2009	NUM
ejpam-6001	552	26	.	.	PUNCT
ejpam-6001	553	1	[	[	X
ejpam-6001	553	2	40	40	NUM
ejpam-6001	553	3	]	]	X
ejpam-6001	553	4	y.	y.	PROPN
ejpam-6001	553	5	x.	x.	PROPN
ejpam-6001	553	6	dang	dang	PROPN
ejpam-6001	553	7	,	,	PUNCT
ejpam-6001	553	8	x.	x.	PROPN
ejpam-6001	553	9	z.	z.	PROPN
ejpam-6001	553	10	li	li	PROPN
ejpam-6001	553	11	,	,	PUNCT
ejpam-6001	553	12	and	and	CCONJ
ejpam-6001	553	13	m.	m.	PROPN
ejpam-6001	553	14	martcheva	martcheva	PROPN
ejpam-6001	553	15	.	.	PUNCT
ejpam-6001	554	1	competitive	competitive	ADJ
ejpam-6001	554	2	exclusion	exclusion	NOUN
ejpam-6001	554	3	in	in	ADP
ejpam-6001	554	4	a	a	DET
ejpam-6001	554	5	multi	multi	ADJ
ejpam-6001	554	6	-	-	ADJ
ejpam-6001	554	7	strain	strain	ADJ
ejpam-6001	554	8	immuno	immuno	ADJ
ejpam-6001	554	9	-	-	PUNCT
ejpam-6001	554	10	epidemiological	epidemiological	ADJ
ejpam-6001	554	11	influenza	influenza	NOUN
ejpam-6001	554	12	model	model	NOUN
ejpam-6001	554	13	with	with	ADP
ejpam-6001	554	14	environmental	environmental	ADJ
ejpam-6001	554	15	transmission	transmission	NOUN
ejpam-6001	554	16	.	.	PUNCT
ejpam-6001	555	1	journal	journal	NOUN
ejpam-6001	555	2	of	of	ADP
ejpam-6001	555	3	biological	biological	ADJ
ejpam-6001	555	4	dynamics	dynamic	NOUN
ejpam-6001	555	5	,	,	PUNCT
ejpam-6001	555	6	10(1):416–456	10(1):416–456	PROPN
ejpam-6001	555	7	,	,	PUNCT
ejpam-6001	555	8	2016	2016	NUM
ejpam-6001	555	9	.	.	PUNCT
ejpam-6001	556	1	[	[	X
ejpam-6001	556	2	41	41	NUM
ejpam-6001	556	3	]	]	PUNCT
ejpam-6001	556	4	l.	l.	PROPN
ejpam-6001	556	5	shami	shami	PROPN
ejpam-6001	556	6	and	and	CCONJ
ejpam-6001	556	7	t.	t.	PROPN
ejpam-6001	556	8	lazebnik	lazebnik	PROPN
ejpam-6001	556	9	.	.	PUNCT
ejpam-6001	557	1	economic	economic	ADJ
ejpam-6001	557	2	aspects	aspect	NOUN
ejpam-6001	557	3	of	of	ADP
ejpam-6001	557	4	the	the	DET
ejpam-6001	557	5	detection	detection	NOUN
ejpam-6001	557	6	of	of	ADP
ejpam-6001	557	7	new	new	ADJ
ejpam-6001	557	8	strains	strain	NOUN
ejpam-6001	557	9	in	in	ADP
ejpam-6001	557	10	a	a	DET
ejpam-6001	557	11	multistrain	multistrain	NOUN
ejpam-6001	557	12	epidemiological	epidemiological	ADJ
ejpam-6001	557	13	–	–	PUNCT
ejpam-6001	557	14	mathematical	mathematical	ADJ
ejpam-6001	557	15	model	model	NOUN
ejpam-6001	557	16	.	.	PUNCT
ejpam-6001	558	1	chaos	chaos	NOUN
ejpam-6001	558	2	,	,	PUNCT
ejpam-6001	558	3	solitons	soliton	NOUN
ejpam-6001	558	4	&	&	CCONJ
ejpam-6001	558	5	fractals	fractal	NOUN
ejpam-6001	558	6	,	,	PUNCT
ejpam-6001	558	7	165:112823	165:112823	NUM
ejpam-6001	558	8	,	,	PUNCT
ejpam-6001	558	9	m.	m.	NOUN
ejpam-6001	558	10	riaz	riaz	PROPN
ejpam-6001	558	11	et	et	PROPN
ejpam-6001	558	12	al	al	PROPN
ejpam-6001	558	13	.	.	PUNCT
ejpam-6001	558	14	/	/	SYM
ejpam-6001	558	15	eur	eur	PROPN
ejpam-6001	558	16	.	.	PUNCT
ejpam-6001	559	1	j.	j.	PROPN
ejpam-6001	559	2	pure	pure	PROPN
ejpam-6001	559	3	appl	appl	PROPN
ejpam-6001	559	4	.	.	PROPN
ejpam-6001	559	5	math	math	PROPN
ejpam-6001	559	6	,	,	PUNCT
ejpam-6001	559	7	18	18	NUM
ejpam-6001	559	8	(	(	PUNCT
ejpam-6001	559	9	2	2	NUM
ejpam-6001	559	10	)	)	PUNCT
ejpam-6001	559	11	(	(	PUNCT
ejpam-6001	559	12	2025	2025	NUM
ejpam-6001	559	13	)	)	PUNCT
ejpam-6001	559	14	,	,	PUNCT
ejpam-6001	559	15	6001	6001	NUM
ejpam-6001	559	16	27	27	NUM
ejpam-6001	559	17	of	of	ADP
ejpam-6001	559	18	27	27	NUM
ejpam-6001	559	19	2022	2022	NUM
ejpam-6001	559	20	.	.	PUNCT
ejpam-6001	560	1	[	[	X
ejpam-6001	560	2	42	42	NUM
ejpam-6001	560	3	]	]	X
ejpam-6001	560	4	i.	i.	PROPN
ejpam-6001	560	5	h.	h.	PROPN
ejpam-6001	560	6	brown	brown	PROPN
ejpam-6001	560	7	.	.	PUNCT
ejpam-6001	561	1	the	the	DET
ejpam-6001	561	2	pig	pig	NOUN
ejpam-6001	561	3	as	as	ADP
ejpam-6001	561	4	an	an	DET
ejpam-6001	561	5	intermediate	intermediate	ADJ
ejpam-6001	561	6	host	host	NOUN
ejpam-6001	561	7	for	for	ADP
ejpam-6001	561	8	influenza	influenza	NOUN
ejpam-6001	561	9	a	a	DET
ejpam-6001	561	10	viruses	virus	NOUN
ejpam-6001	561	11	between	between	ADP
ejpam-6001	561	12	birds	bird	NOUN
ejpam-6001	561	13	and	and	CCONJ
ejpam-6001	561	14	humans	human	NOUN
ejpam-6001	561	15	.	.	PUNCT
ejpam-6001	562	1	international	international	ADJ
ejpam-6001	562	2	congress	congress	PROPN
ejpam-6001	562	3	series	series	PROPN
ejpam-6001	562	4	,	,	PUNCT
ejpam-6001	562	5	1219:173–178	1219:173–178	PRON
ejpam-6001	562	6	,	,	PUNCT
ejpam-6001	562	7	2001	2001	NUM
ejpam-6001	562	8	.	.	PUNCT
ejpam-6001	563	1	[	[	X
ejpam-6001	563	2	43	43	NUM
ejpam-6001	563	3	]	]	X
ejpam-6001	563	4	a.	a.	NOUN
ejpam-6001	563	5	alexi	alexi	PROPN
ejpam-6001	563	6	,	,	PUNCT
ejpam-6001	563	7	a.	a.	PROPN
ejpam-6001	563	8	rosenfeld	rosenfeld	PROPN
ejpam-6001	563	9	,	,	PUNCT
ejpam-6001	563	10	and	and	CCONJ
ejpam-6001	563	11	t.	t.	PROPN
ejpam-6001	563	12	lazebnik	lazebnik	PROPN
ejpam-6001	563	13	.	.	PUNCT
ejpam-6001	564	1	multi	multi	ADJ
ejpam-6001	564	2	-	-	ADJ
ejpam-6001	564	3	species	species	ADJ
ejpam-6001	564	4	prey	prey	NOUN
ejpam-6001	564	5	–	–	PUNCT
ejpam-6001	564	6	predator	predator	NOUN
ejpam-6001	564	7	dynamics	dynamic	NOUN
ejpam-6001	564	8	during	during	ADP
ejpam-6001	564	9	a	a	DET
ejpam-6001	564	10	multi	multi	ADJ
ejpam-6001	564	11	-	-	ADJ
ejpam-6001	564	12	strain	strain	ADJ
ejpam-6001	564	13	pandemic	pandemic	ADJ
ejpam-6001	564	14	.	.	PUNCT
ejpam-6001	565	1	chaos	chaos	NOUN
ejpam-6001	565	2	:	:	PUNCT
ejpam-6001	565	3	an	an	DET
ejpam-6001	565	4	interdisciplinary	interdisciplinary	ADJ
ejpam-6001	565	5	journal	journal	NOUN
ejpam-6001	565	6	of	of	ADP
ejpam-6001	565	7	nonlinear	nonlinear	ADJ
ejpam-6001	565	8	science	science	NOUN
ejpam-6001	565	9	,	,	PUNCT
ejpam-6001	565	10	33(7):073111	33(7):073111	NUM
ejpam-6001	565	11	,	,	PUNCT
ejpam-6001	565	12	2023	2023	NUM
ejpam-6001	565	13	.	.	PUNCT
ejpam-6001	566	1	[	[	X
ejpam-6001	566	2	44	44	NUM
ejpam-6001	566	3	]	]	PUNCT
ejpam-6001	566	4	m.	m.	NOUN
ejpam-6001	566	5	martcheva	martcheva	PROPN
ejpam-6001	566	6	.	.	PUNCT
ejpam-6001	567	1	a	a	DET
ejpam-6001	567	2	non	non	ADJ
ejpam-6001	567	3	-	-	ADJ
ejpam-6001	567	4	autonomous	autonomous	ADJ
ejpam-6001	567	5	multi	multi	ADJ
ejpam-6001	567	6	-	-	ADJ
ejpam-6001	567	7	strain	strain	ADJ
ejpam-6001	567	8	sis	sis	NOUN
ejpam-6001	567	9	epidemic	epidemic	NOUN
ejpam-6001	567	10	model	model	NOUN
ejpam-6001	567	11	.	.	PUNCT
ejpam-6001	568	1	journal	journal	NOUN
ejpam-6001	568	2	of	of	ADP
ejpam-6001	568	3	biological	biological	ADJ
ejpam-6001	568	4	dynamics	dynamic	NOUN
ejpam-6001	568	5	,	,	PUNCT
ejpam-6001	568	6	3(2	3(2	NUM
ejpam-6001	568	7	-	-	SYM
ejpam-6001	568	8	3):235–251	3):235–251	NUM
ejpam-6001	568	9	,	,	PUNCT
ejpam-6001	568	10	2009	2009	NUM
ejpam-6001	568	11	.	.	PUNCT
ejpam-6001	569	1	[	[	X
ejpam-6001	569	2	45	45	NUM
ejpam-6001	569	3	]	]	PUNCT
ejpam-6001	569	4	t.	t.	NOUN
ejpam-6001	569	5	lazebnik	lazebnik	NOUN
ejpam-6001	569	6	and	and	CCONJ
ejpam-6001	569	7	g.	g.	PROPN
ejpam-6001	569	8	blumrosen	blumrosen	PROPN
ejpam-6001	569	9	.	.	PUNCT
ejpam-6001	570	1	advanced	advanced	ADJ
ejpam-6001	570	2	multi	multi	NOUN
ejpam-6001	570	3	-	-	NOUN
ejpam-6001	570	4	mutation	mutation	NOUN
ejpam-6001	570	5	with	with	ADP
ejpam-6001	570	6	intervention	intervention	NOUN
ejpam-6001	570	7	policies	policy	NOUN
ejpam-6001	570	8	pandemic	pandemic	ADJ
ejpam-6001	570	9	model	model	NOUN
ejpam-6001	570	10	.	.	PUNCT
ejpam-6001	571	1	ieee	ieee	NOUN
ejpam-6001	571	2	access	access	NOUN
ejpam-6001	571	3	,	,	PUNCT
ejpam-6001	571	4	10:22769–22781	10:22769–22781	NUM
ejpam-6001	571	5	,	,	PUNCT
ejpam-6001	571	6	2022	2022	NUM
ejpam-6001	571	7	.	.	PUNCT
ejpam-6001	572	1	[	[	X
ejpam-6001	572	2	46	46	NUM
ejpam-6001	572	3	]	]	PUNCT
ejpam-6001	572	4	a.	a.	NOUN
ejpam-6001	572	5	a.	a.	NOUN
ejpam-6001	572	6	kilbas	kilbas	PROPN
ejpam-6001	572	7	,	,	PUNCT
ejpam-6001	572	8	h.	h.	PROPN
ejpam-6001	572	9	m.	m.	PROPN
ejpam-6001	572	10	srivastava	srivastava	PROPN
ejpam-6001	572	11	,	,	PUNCT
ejpam-6001	572	12	and	and	CCONJ
ejpam-6001	572	13	j.	j.	PROPN
ejpam-6001	572	14	j.	j.	PROPN
ejpam-6001	572	15	trujillo	trujillo	PROPN
ejpam-6001	572	16	.	.	PUNCT
ejpam-6001	572	17	theory	theory	NOUN
ejpam-6001	572	18	and	and	CCONJ
ejpam-6001	572	19	applications	application	NOUN
ejpam-6001	572	20	of	of	ADP
ejpam-6001	572	21	fractional	fractional	ADJ
ejpam-6001	572	22	differential	differential	ADJ
ejpam-6001	572	23	equations	equation	NOUN
ejpam-6001	572	24	.	.	PUNCT
ejpam-6001	573	1	204	204	NUM
ejpam-6001	573	2	,	,	PUNCT
ejpam-6001	573	3	2006	2006	NUM
ejpam-6001	573	4	.	.	PUNCT
ejpam-6001	574	1	[	[	X
ejpam-6001	574	2	47	47	NUM
ejpam-6001	574	3	]	]	PUNCT
ejpam-6001	574	4	r.	r.	PROPN
ejpam-6001	574	5	p.	p.	PROPN
ejpam-6001	574	6	agarwal	agarwal	PROPN
ejpam-6001	574	7	,	,	PUNCT
ejpam-6001	574	8	m.	m.	NOUN
ejpam-6001	574	9	meehan	meehan	PROPN
ejpam-6001	574	10	,	,	PUNCT
ejpam-6001	574	11	and	and	CCONJ
ejpam-6001	574	12	d.	d.	PROPN
ejpam-6001	574	13	o’regan	o’regan	PROPN
ejpam-6001	574	14	.	.	PUNCT
ejpam-6001	575	1	fixed	fix	VERB
ejpam-6001	575	2	point	point	NOUN
ejpam-6001	575	3	theory	theory	NOUN
ejpam-6001	575	4	and	and	CCONJ
ejpam-6001	575	5	applications	application	NOUN
ejpam-6001	575	6	.	.	PUNCT
ejpam-6001	576	1	141	141	NUM
ejpam-6001	576	2	,	,	PUNCT
ejpam-6001	576	3	2001	2001	NUM
ejpam-6001	576	4	.	.	PUNCT
ejpam-6001	577	1	[	[	X
ejpam-6001	577	2	48	48	NUM
ejpam-6001	577	3	]	]	PUNCT
ejpam-6001	577	4	h.	h.	PROPN
ejpam-6001	577	5	k.	k.	PROPN
ejpam-6001	577	6	khalil	khalil	PROPN
ejpam-6001	577	7	and	and	CCONJ
ejpam-6001	577	8	j.	j.	PROPN
ejpam-6001	577	9	w.	w.	PROPN
ejpam-6001	577	10	grizzle	grizzle	PROPN
ejpam-6001	577	11	.	.	PUNCT
ejpam-6001	578	1	nonlinear	nonlinear	ADJ
ejpam-6001	578	2	systems	system	NOUN
ejpam-6001	578	3	.	.	PUNCT
ejpam-6001	579	1	3	3	NUM
ejpam-6001	579	2	,	,	PUNCT
ejpam-6001	579	3	2002	2002	NUM
ejpam-6001	579	4	.	.	PUNCT
ejpam-6001	580	1	[	[	X
ejpam-6001	580	2	49	49	NUM
ejpam-6001	580	3	]	]	PUNCT
ejpam-6001	580	4	a.	a.	NOUN
ejpam-6001	580	5	korobeinikov	korobeinikov	NOUN
ejpam-6001	580	6	and	and	CCONJ
ejpam-6001	580	7	p.	p.	PROPN
ejpam-6001	580	8	k.	k.	PROPN
ejpam-6001	581	1	maini	maini	PROPN
ejpam-6001	581	2	.	.	PUNCT
ejpam-6001	582	1	a	a	DET
ejpam-6001	582	2	lyapunov	lyapunov	ADJ
ejpam-6001	582	3	function	function	NOUN
ejpam-6001	582	4	and	and	CCONJ
ejpam-6001	582	5	global	global	ADJ
ejpam-6001	582	6	properties	property	NOUN
ejpam-6001	582	7	for	for	ADP
ejpam-6001	582	8	sir	sir	NOUN
ejpam-6001	582	9	and	and	CCONJ
ejpam-6001	582	10	seir	seir	PRON
ejpam-6001	582	11	epidemiological	epidemiological	ADJ
ejpam-6001	582	12	models	model	NOUN
ejpam-6001	582	13	with	with	ADP
ejpam-6001	582	14	nonlinear	nonlinear	ADJ
ejpam-6001	582	15	incidence	incidence	NOUN
ejpam-6001	582	16	.	.	PUNCT
ejpam-6001	583	1	mathematical	mathematical	ADJ
ejpam-6001	583	2	biosciences	bioscience	NOUN
ejpam-6001	583	3	and	and	CCONJ
ejpam-6001	583	4	engineering	engineering	NOUN
ejpam-6001	583	5	,	,	PUNCT
ejpam-6001	583	6	1(1):57–60	1(1):57–60	NUM
ejpam-6001	583	7	,	,	PUNCT
ejpam-6001	583	8	2004	2004	NUM
ejpam-6001	583	9	.	.	PUNCT
ejpam-6001	584	1	[	[	X
ejpam-6001	584	2	50	50	NUM
ejpam-6001	584	3	]	]	X
ejpam-6001	584	4	n.	n.	PROPN
ejpam-6001	584	5	chitnis	chitnis	PROPN
ejpam-6001	584	6	,	,	PUNCT
ejpam-6001	584	7	j.	j.	PROPN
ejpam-6001	584	8	m.	m.	PROPN
ejpam-6001	584	9	hyman	hyman	PROPN
ejpam-6001	584	10	,	,	PUNCT
ejpam-6001	584	11	and	and	CCONJ
ejpam-6001	584	12	j.	j.	PROPN
ejpam-6001	584	13	m.	m.	PROPN
ejpam-6001	584	14	cushing	cushing	PROPN
ejpam-6001	584	15	.	.	PUNCT
ejpam-6001	585	1	determining	determine	VERB
ejpam-6001	585	2	important	important	ADJ
ejpam-6001	585	3	parameters	parameter	NOUN
ejpam-6001	585	4	in	in	ADP
ejpam-6001	585	5	the	the	DET
ejpam-6001	585	6	spread	spread	NOUN
ejpam-6001	585	7	of	of	ADP
ejpam-6001	585	8	malaria	malaria	NOUN
ejpam-6001	585	9	through	through	ADP
ejpam-6001	585	10	the	the	DET
ejpam-6001	585	11	sensitivity	sensitivity	NOUN
ejpam-6001	585	12	analysis	analysis	NOUN
ejpam-6001	585	13	of	of	ADP
ejpam-6001	585	14	a	a	DET
ejpam-6001	585	15	mathematical	mathematical	ADJ
ejpam-6001	585	16	model	model	NOUN
ejpam-6001	585	17	.	.	PUNCT
ejpam-6001	586	1	bulletin	bulletin	NOUN
ejpam-6001	586	2	of	of	ADP
ejpam-6001	586	3	mathematical	mathematical	ADJ
ejpam-6001	586	4	biology	biology	NOUN
ejpam-6001	586	5	,	,	PUNCT
ejpam-6001	586	6	70(5):1272–1296	70(5):1272–1296	NUM
ejpam-6001	586	7	,	,	PUNCT
ejpam-6001	586	8	2008	2008	NUM
ejpam-6001	586	9	.	.	PUNCT
ejpam-6001	587	1	[	[	X
ejpam-6001	587	2	51	51	NUM
ejpam-6001	587	3	]	]	PUNCT
ejpam-6001	587	4	z.	z.	PROPN
ejpam-6001	587	5	j.	j.	PROPN
ejpam-6001	587	6	fu	fu	PROPN
ejpam-6001	587	7	,	,	PUNCT
ejpam-6001	587	8	z.	z.	PROPN
ejpam-6001	587	9	c.	c.	PROPN
ejpam-6001	587	10	tang	tang	PROPN
ejpam-6001	587	11	,	,	PUNCT
ejpam-6001	587	12	h.	h.	PROPN
ejpam-6001	587	13	t.	t.	PROPN
ejpam-6001	587	14	zhao	zhao	PROPN
ejpam-6001	587	15	,	,	PUNCT
ejpam-6001	587	16	p.	p.	PROPN
ejpam-6001	587	17	w.	w.	PROPN
ejpam-6001	587	18	li	li	PROPN
ejpam-6001	587	19	,	,	PUNCT
ejpam-6001	587	20	and	and	CCONJ
ejpam-6001	587	21	t.	t.	PROPN
ejpam-6001	587	22	rabczuk	rabczuk	PROPN
ejpam-6001	587	23	.	.	PUNCT
ejpam-6001	588	1	numerical	numerical	ADJ
ejpam-6001	588	2	solutions	solution	NOUN
ejpam-6001	588	3	of	of	ADP
ejpam-6001	588	4	the	the	DET
ejpam-6001	588	5	coupled	couple	VERB
ejpam-6001	588	6	unsteady	unsteady	ADJ
ejpam-6001	588	7	nonlinear	nonlinear	ADJ
ejpam-6001	588	8	convection	convection	NOUN
ejpam-6001	588	9	-	-	PUNCT
ejpam-6001	588	10	diffusion	diffusion	NOUN
ejpam-6001	588	11	equations	equation	NOUN
ejpam-6001	588	12	based	base	VERB
ejpam-6001	588	13	on	on	ADP
ejpam-6001	588	14	generalized	generalized	ADJ
ejpam-6001	588	15	finite	finite	ADJ
ejpam-6001	588	16	difference	difference	NOUN
ejpam-6001	588	17	method	method	NOUN
ejpam-6001	588	18	.	.	PUNCT
ejpam-6001	589	1	the	the	DET
ejpam-6001	589	2	european	european	PROPN
ejpam-6001	589	3	physical	physical	PROPN
ejpam-6001	589	4	journal	journal	PROPN
ejpam-6001	589	5	plus	plus	CCONJ
ejpam-6001	589	6	,	,	PUNCT
ejpam-6001	589	7	134(6):272	134(6):272	NUM
ejpam-6001	589	8	,	,	PUNCT
ejpam-6001	589	9	2019	2019	NUM
ejpam-6001	589	10	.	.	PUNCT
ejpam-6001	590	1	[	[	X
ejpam-6001	590	2	52	52	NUM
ejpam-6001	590	3	]	]	PUNCT
ejpam-6001	590	4	r.	r.	PROPN
ejpam-6001	590	5	ud	ud	PROPN
ejpam-6001	590	6	din	din	PROPN
ejpam-6001	590	7	,	,	PUNCT
ejpam-6001	590	8	k.	k.	PROPN
ejpam-6001	590	9	a.	a.	PROPN
ejpam-6001	590	10	khan	khan	PROPN
ejpam-6001	590	11	,	,	PUNCT
ejpam-6001	590	12	a.	a.	PROPN
ejpam-6001	590	13	aloqaily	aloqaily	ADV
ejpam-6001	590	14	,	,	PUNCT
ejpam-6001	590	15	n.	n.	PROPN
ejpam-6001	590	16	mlaiki	mlaiki	PROPN
ejpam-6001	590	17	,	,	PUNCT
ejpam-6001	590	18	and	and	CCONJ
ejpam-6001	590	19	h.	h.	PROPN
ejpam-6001	590	20	alrabaiah	alrabaiah	PROPN
ejpam-6001	590	21	.	.	PUNCT
ejpam-6001	591	1	using	use	VERB
ejpam-6001	591	2	non	non	ADJ
ejpam-6001	591	3	-	-	ADJ
ejpam-6001	591	4	standard	standard	ADJ
ejpam-6001	591	5	finite	finite	ADJ
ejpam-6001	591	6	difference	difference	NOUN
ejpam-6001	591	7	scheme	scheme	NOUN
ejpam-6001	591	8	to	to	PART
ejpam-6001	591	9	study	study	VERB
ejpam-6001	591	10	classical	classical	ADJ
ejpam-6001	591	11	and	and	CCONJ
ejpam-6001	591	12	fractional	fractional	ADJ
ejpam-6001	591	13	order	order	NOUN
ejpam-6001	591	14	seivr	seivr	NOUN
ejpam-6001	591	15	model	model	NOUN
ejpam-6001	591	16	.	.	PUNCT
ejpam-6001	592	1	fractal	fractal	PROPN
ejpam-6001	592	2	and	and	CCONJ
ejpam-6001	592	3	fractional	fractional	ADJ
ejpam-6001	592	4	,	,	PUNCT
ejpam-6001	592	5	7(7):552	7(7):552	NUM
ejpam-6001	592	6	,	,	PUNCT
ejpam-6001	592	7	2023	2023	NUM
ejpam-6001	592	8	.	.	PUNCT