id	sid	tid	token	lemma	pos
cana-4452	1	1	communications	communication	NOUN
cana-4452	1	2	on	on	ADP
cana-4452	1	3	applied	apply	VERB
cana-4452	1	4	nonlinear	nonlinear	ADJ
cana-4452	1	5	analysis	analysis	NOUN
cana-4452	1	6	issn	issn	NOUN
cana-4452	1	7	:	:	PUNCT
cana-4452	1	8	1074	1074	NUM
cana-4452	1	9	-	-	PUNCT
cana-4452	1	10	133x	133x	NUM
cana-4452	1	11	vol	vol	NOUN
cana-4452	1	12	32	32	NUM
cana-4452	1	13	no	no	NOUN
cana-4452	1	14	.	.	PUNCT
cana-4452	2	1	9s	9s	NUM
cana-4452	2	2	(	(	PUNCT
cana-4452	2	3	2025	2025	NUM
cana-4452	2	4	)	)	PUNCT
cana-4452	2	5	2114	2114	NUM
cana-4452	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	3	1	an	an	DET
cana-4452	3	2	analytical	analytical	ADJ
cana-4452	3	3	approach	approach	NOUN
cana-4452	3	4	to	to	PART
cana-4452	3	5	solve	solve	VERB
cana-4452	3	6	nipah	nipah	PRON
cana-4452	3	7	virus	virus	NOUN
cana-4452	3	8	infection	infection	NOUN
cana-4452	3	9	model	model	NOUN
cana-4452	3	10	j.	j.	PROPN
cana-4452	3	11	sujatha1	sujatha1	PROPN
cana-4452	3	12	,	,	PUNCT
cana-4452	3	13	*	*	PUNCT
cana-4452	3	14	and	and	CCONJ
cana-4452	3	15	n.	n.	PROPN
cana-4452	3	16	magesh2	magesh2	NOUN
cana-4452	3	17	1	1	NUM
cana-4452	3	18	*	*	SYM
cana-4452	3	19	,	,	PUNCT
cana-4452	3	20	2	2	NUM
cana-4452	3	21	post	post	ADJ
cana-4452	3	22	-	-	ADJ
cana-4452	3	23	graduate	graduate	ADJ
cana-4452	3	24	and	and	CCONJ
cana-4452	3	25	research	research	NOUN
cana-4452	3	26	department	department	PROPN
cana-4452	3	27	of	of	ADP
cana-4452	3	28	mathematics	mathematic	NOUN
cana-4452	3	29	,	,	PUNCT
cana-4452	3	30	government	government	NOUN
cana-4452	3	31	arts	arts	PROPN
cana-4452	3	32	college	college	PROPN
cana-4452	3	33	for	for	ADP
cana-4452	3	34	men	man	NOUN
cana-4452	3	35	,	,	PUNCT
cana-4452	3	36	krishnagiri	krishnagiri	PROPN
cana-4452	3	37	635	635	NUM
cana-4452	3	38	001	001	NUM
cana-4452	3	39	,	,	PUNCT
cana-4452	3	40	tamilnadu	tamilnadu	NOUN
cana-4452	3	41	,	,	PUNCT
cana-4452	3	42	india	india	PROPN
cana-4452	3	43	.	.	PUNCT
cana-4452	4	1	e	e	X
cana-4452	4	2	-	-	NOUN
cana-4452	4	3	mail	mail	NOUN
cana-4452	4	4	:	:	PUNCT
cana-4452	4	5	1	1	NUM
cana-4452	4	6	,	,	PUNCT
cana-4452	4	7	*	*	SYM
cana-4452	4	8	sujiselva8815@gmail.com	sujiselva8815@gmail.com	PROPN
cana-4452	4	9	.	.	PROPN
cana-4452	4	10	,	,	PUNCT
cana-4452	4	11	orcid	orcid	PROPN
cana-4452	4	12	address	address	NOUN
cana-4452	4	13	:	:	PUNCT
cana-4452	4	14	http://orcid.org/0009-0006-2521-7304	http://orcid.org/0009-0006-2521-7304	PROPN
cana-4452	4	15	.	.	PUNCT
cana-4452	5	1	e	e	X
cana-4452	5	2	-	-	NOUN
cana-4452	5	3	mail	mail	NOUN
cana-4452	5	4	:	:	PUNCT
cana-4452	5	5	2	2	NUM
cana-4452	5	6	nmagi_2000@yahoo.co.in	nmagi_2000@yahoo.co.in	NUM
cana-4452	5	7	,	,	PUNCT
cana-4452	5	8	orcid	orcid	NOUN
cana-4452	5	9	address	address	NOUN
cana-4452	5	10	:	:	PUNCT
cana-4452	5	11	http://orcid.org/0000-0002-0764-8390	http://orcid.org/0000-0002-0764-8390	NOUN
cana-4452	5	12	.	.	PUNCT
cana-4452	6	1	article	article	NOUN
cana-4452	6	2	history	history	NOUN
cana-4452	6	3	:	:	PUNCT
cana-4452	6	4	received	receive	VERB
cana-4452	6	5	:	:	PUNCT
cana-4452	6	6	12	12	NUM
cana-4452	6	7	-	-	SYM
cana-4452	6	8	01	01	NUM
cana-4452	6	9	-	-	PUNCT
cana-4452	6	10	2025	2025	NUM
cana-4452	6	11	revised	revise	VERB
cana-4452	6	12	:	:	PUNCT
cana-4452	6	13	15	15	NUM
cana-4452	6	14	-	-	NUM
cana-4452	6	15	02	02	NUM
cana-4452	6	16	-	-	PUNCT
cana-4452	6	17	2025	2025	NUM
cana-4452	6	18	accepted	accept	VERB
cana-4452	6	19	:	:	PUNCT
cana-4452	6	20	01	01	NUM
cana-4452	6	21	-	-	SYM
cana-4452	6	22	03	03	NUM
cana-4452	6	23	-	-	PUNCT
cana-4452	6	24	2025	2025	NUM
cana-4452	6	25	abstract	abstract	NOUN
cana-4452	6	26	:	:	PUNCT
cana-4452	6	27	an	an	DET
cana-4452	6	28	epidemic	epidemic	NOUN
cana-4452	6	29	is	be	AUX
cana-4452	6	30	the	the	DET
cana-4452	6	31	rapid	rapid	ADJ
cana-4452	6	32	spread	spread	NOUN
cana-4452	6	33	of	of	ADP
cana-4452	6	34	disease	disease	NOUN
cana-4452	6	35	to	to	ADP
cana-4452	6	36	a	a	DET
cana-4452	6	37	large	large	ADJ
cana-4452	6	38	number	number	NOUN
cana-4452	6	39	of	of	ADP
cana-4452	6	40	hosts	host	NOUN
cana-4452	6	41	in	in	ADP
cana-4452	6	42	a	a	DET
cana-4452	6	43	given	give	VERB
cana-4452	6	44	population	population	NOUN
cana-4452	6	45	within	within	ADP
cana-4452	6	46	a	a	DET
cana-4452	6	47	short	short	ADJ
cana-4452	6	48	period	period	NOUN
cana-4452	6	49	of	of	ADP
cana-4452	6	50	time	time	NOUN
cana-4452	6	51	.	.	PUNCT
cana-4452	7	1	the	the	DET
cana-4452	7	2	sir	sir	PROPN
cana-4452	7	3	model	model	NOUN
cana-4452	7	4	is	be	AUX
cana-4452	7	5	that	that	SCONJ
cana-4452	7	6	it	it	PRON
cana-4452	7	7	assumes	assume	VERB
cana-4452	7	8	homogeneous	homogeneous	ADJ
cana-4452	7	9	mixture	mixture	NOUN
cana-4452	7	10	of	of	ADP
cana-4452	7	11	populations	population	NOUN
cana-4452	7	12	,	,	PUNCT
cana-4452	7	13	however	however	ADV
cana-4452	7	14	this	this	PRON
cana-4452	7	15	is	be	AUX
cana-4452	7	16	an	an	DET
cana-4452	7	17	over	over	ADP
cana-4452	7	18	simplification	simplification	NOUN
cana-4452	7	19	of	of	ADP
cana-4452	7	20	the	the	DET
cana-4452	7	21	reality	reality	NOUN
cana-4452	7	22	of	of	ADP
cana-4452	7	23	epidemic	epidemic	NOUN
cana-4452	7	24	process	process	NOUN
cana-4452	7	25	.	.	PUNCT
cana-4452	8	1	the	the	DET
cana-4452	8	2	nipah	nipah	PROPN
cana-4452	8	3	virus	virus	NOUN
cana-4452	8	4	,	,	PUNCT
cana-4452	8	5	known	know	VERB
cana-4452	8	6	for	for	ADP
cana-4452	8	7	its	its	PRON
cana-4452	8	8	severe	severe	ADJ
cana-4452	8	9	outbreaks	outbreak	NOUN
cana-4452	8	10	and	and	CCONJ
cana-4452	8	11	high	high	ADJ
cana-4452	8	12	mortality	mortality	NOUN
cana-4452	8	13	rates	rate	NOUN
cana-4452	8	14	,	,	PUNCT
cana-4452	8	15	necessitates	necessitate	VERB
cana-4452	8	16	effective	effective	ADJ
cana-4452	8	17	modeling	modeling	NOUN
cana-4452	8	18	techniques	technique	NOUN
cana-4452	8	19	for	for	ADP
cana-4452	8	20	understanding	understand	VERB
cana-4452	8	21	its	its	PRON
cana-4452	8	22	transmission	transmission	NOUN
cana-4452	8	23	and	and	CCONJ
cana-4452	8	24	potential	potential	ADJ
cana-4452	8	25	control	control	NOUN
cana-4452	8	26	measure	measure	NOUN
cana-4452	8	27	.	.	PUNCT
cana-4452	9	1	in	in	ADP
cana-4452	9	2	this	this	DET
cana-4452	9	3	paper	paper	NOUN
cana-4452	9	4	,	,	PUNCT
cana-4452	9	5	initially	initially	ADV
cana-4452	9	6	we	we	PRON
cana-4452	9	7	discuss	discuss	VERB
cana-4452	9	8	the	the	DET
cana-4452	9	9	stability	stability	NOUN
cana-4452	9	10	analysis	analysis	NOUN
cana-4452	9	11	and	and	CCONJ
cana-4452	9	12	the	the	DET
cana-4452	9	13	q	q	X
cana-4452	9	14	−	−	PROPN
cana-4452	9	15	homotopy	homotopy	VERB
cana-4452	9	16	analysis	analysis	NOUN
cana-4452	9	17	transform	transform	NOUN
cana-4452	9	18	method	method	NOUN
cana-4452	9	19	(	(	PUNCT
cana-4452	9	20	q	q	NOUN
cana-4452	9	21	−	−	PROPN
cana-4452	9	22	hatm	hatm	ADJ
cana-4452	9	23	)	)	PUNCT
cana-4452	9	24	is	be	AUX
cana-4452	9	25	compared	compare	VERB
cana-4452	9	26	with	with	ADP
cana-4452	9	27	cfdtm	cfdtm	NOUN
cana-4452	9	28	graphically	graphically	ADV
cana-4452	9	29	.	.	PUNCT
cana-4452	10	1	the	the	DET
cana-4452	10	2	q	q	X
cana-4452	10	3	−	−	PROPN
cana-4452	10	4	homotopy	homotopy	VERB
cana-4452	10	5	analysis	analysis	NOUN
cana-4452	10	6	transform	transform	NOUN
cana-4452	10	7	method	method	NOUN
cana-4452	10	8	offers	offer	VERB
cana-4452	10	9	a	a	DET
cana-4452	10	10	series	series	NOUN
cana-4452	10	11	solution	solution	NOUN
cana-4452	10	12	that	that	PRON
cana-4452	10	13	converges	converge	VERB
cana-4452	10	14	rapidly	rapidly	ADV
cana-4452	10	15	,	,	PUNCT
cana-4452	10	16	while	while	SCONJ
cana-4452	10	17	the	the	DET
cana-4452	10	18	cfdtm	cfdtm	NOUN
cana-4452	10	19	provides	provide	VERB
cana-4452	10	20	robust	robust	ADJ
cana-4452	10	21	numerical	numerical	ADJ
cana-4452	10	22	approximation	approximation	NOUN
cana-4452	10	23	.	.	PUNCT
cana-4452	11	1	comparative	comparative	ADJ
cana-4452	11	2	analysis	analysis	NOUN
cana-4452	11	3	highlights	highlight	VERB
cana-4452	11	4	the	the	DET
cana-4452	11	5	strengths	strength	NOUN
cana-4452	11	6	and	and	CCONJ
cana-4452	11	7	limitations	limitation	NOUN
cana-4452	11	8	of	of	ADP
cana-4452	11	9	each	each	DET
cana-4452	11	10	method	method	NOUN
cana-4452	11	11	in	in	ADP
cana-4452	11	12	terms	term	NOUN
cana-4452	11	13	of	of	ADP
cana-4452	11	14	accuracy	accuracy	NOUN
cana-4452	11	15	,	,	PUNCT
cana-4452	11	16	computational	computational	ADJ
cana-4452	11	17	efficiency	efficiency	NOUN
cana-4452	11	18	,	,	PUNCT
cana-4452	11	19	and	and	CCONJ
cana-4452	11	20	applicability	applicability	NOUN
cana-4452	11	21	to	to	ADP
cana-4452	11	22	real	real	ADJ
cana-4452	11	23	world	world	NOUN
cana-4452	11	24	scenarios	scenario	NOUN
cana-4452	11	25	.	.	PUNCT
cana-4452	12	1	the	the	DET
cana-4452	12	2	q	q	X
cana-4452	12	3	−	−	PROPN
cana-4452	12	4	homotopy	homotopy	VERB
cana-4452	12	5	analysis	analysis	NOUN
cana-4452	12	6	transform	transform	NOUN
cana-4452	12	7	method	method	NOUN
cana-4452	12	8	used	use	VERB
cana-4452	12	9	to	to	PART
cana-4452	12	10	solve	solve	VERB
cana-4452	12	11	the	the	DET
cana-4452	12	12	system	system	NOUN
cana-4452	12	13	of	of	ADP
cana-4452	12	14	non	non	ADJ
cana-4452	12	15	-	-	ADJ
cana-4452	12	16	linear	linear	ADJ
cana-4452	12	17	differential	differential	ADJ
cana-4452	12	18	equations	equation	NOUN
cana-4452	12	19	which	which	PRON
cana-4452	12	20	arises	arise	VERB
cana-4452	12	21	due	due	ADJ
cana-4452	12	22	to	to	ADP
cana-4452	12	23	nipah	nipah	NOUN
cana-4452	12	24	virus	virus	NOUN
cana-4452	12	25	infection	infection	NOUN
cana-4452	12	26	keywords	keyword	NOUN
cana-4452	12	27	and	and	CCONJ
cana-4452	12	28	phrases	phrase	NOUN
cana-4452	12	29	:	:	PUNCT
cana-4452	12	30	stability	stability	NOUN
cana-4452	12	31	analysis	analysis	NOUN
cana-4452	12	32	,	,	PUNCT
cana-4452	12	33	nipah	nipah	PROPN
cana-4452	12	34	virus	virus	NOUN
cana-4452	12	35	(	(	PUNCT
cana-4452	12	36	niv	niv	ADJ
cana-4452	12	37	)	)	PUNCT
cana-4452	12	38	,	,	PUNCT
cana-4452	12	39	epidemic	epidemic	NOUN
cana-4452	12	40	model	model	NOUN
cana-4452	12	41	,	,	PUNCT
cana-4452	12	42	nonlinear	nonlinear	ADJ
cana-4452	12	43	differential	differential	ADJ
cana-4452	12	44	equations	equation	NOUN
cana-4452	12	45	,	,	PUNCT
cana-4452	12	46	mathematical	mathematical	ADJ
cana-4452	12	47	models	model	NOUN
cana-4452	12	48	,	,	PUNCT
cana-4452	12	49	q	q	NOUN
cana-4452	12	50	homotopy	homotopy	VERB
cana-4452	12	51	analysis	analysis	NOUN
cana-4452	12	52	transform	transform	NOUN
cana-4452	12	53	method	method	NOUN
cana-4452	12	54	.	.	PUNCT
cana-4452	13	1	2020	2020	NUM
cana-4452	13	2	ams	am	NOUN
cana-4452	13	3	classification	classification	NOUN
cana-4452	13	4	:	:	PUNCT
cana-4452	13	5	37m05	37m05	NUM
cana-4452	13	6	,	,	PUNCT
cana-4452	13	7	34f05	34f05	NUM
cana-4452	13	8	,	,	PUNCT
cana-4452	13	9	92d30	92d30	NUM
cana-4452	13	10	1	1	NUM
cana-4452	13	11	.	.	PUNCT
cana-4452	14	1	introduction	introduction	NOUN
cana-4452	14	2	clinical	clinical	ADJ
cana-4452	14	3	manifestations	manifestation	NOUN
cana-4452	14	4	of	of	ADP
cana-4452	14	5	the	the	DET
cana-4452	14	6	nipah	nipah	PROPN
cana-4452	14	7	virus	virus	NOUN
cana-4452	14	8	infection	infection	NOUN
cana-4452	14	9	in	in	ADP
cana-4452	14	10	humans	human	NOUN
cana-4452	14	11	range	range	VERB
cana-4452	14	12	from	from	ADP
cana-4452	14	13	asymptomatic	asymptomatic	ADJ
cana-4452	14	14	illness	illness	NOUN
cana-4452	14	15	to	to	ADP
cana-4452	14	16	severe	severe	ADJ
cana-4452	14	17	respiratory	respiratory	ADJ
cana-4452	14	18	infection	infection	NOUN
cana-4452	14	19	and	and	CCONJ
cana-4452	14	20	deadly	deadly	ADJ
cana-4452	14	21	encephalitis	encephalitis	NOUN
cana-4452	14	22	.	.	PUNCT
cana-4452	15	1	an	an	DET
cana-4452	15	2	estimate	estimate	NOUN
cana-4452	15	3	of	of	ADP
cana-4452	15	4	the	the	DET
cana-4452	15	5	case	case	NOUN
cana-4452	15	6	fatality	fatality	NOUN
cana-4452	15	7	rate	rate	NOUN
cana-4452	15	8	ranges	range	VERB
cana-4452	15	9	from	from	ADP
cana-4452	15	10	40	40	NUM
cana-4452	15	11	percent	percent	NOUN
cana-4452	15	12	to	to	ADP
cana-4452	15	13	75	75	NUM
cana-4452	15	14	percent	percent	NOUN
cana-4452	15	15	.	.	PUNCT
cana-4452	16	1	depending	depend	VERB
cana-4452	16	2	on	on	ADP
cana-4452	16	3	regional	regional	ADJ
cana-4452	16	4	capacity	capacity	NOUN
cana-4452	16	5	for	for	ADP
cana-4452	16	6	epidemiological	epidemiological	ADJ
cana-4452	16	7	monitoring	monitoring	NOUN
cana-4452	16	8	and	and	CCONJ
cana-4452	16	9	clinical	clinical	ADJ
cana-4452	16	10	care	care	NOUN
cana-4452	16	11	,	,	PUNCT
cana-4452	16	12	this	this	DET
cana-4452	16	13	rate	rate	NOUN
cana-4452	16	14	may	may	AUX
cana-4452	16	15	vary	vary	VERB
cana-4452	16	16	per	per	ADP
cana-4452	16	17	epidemic	epidemic	NOUN
cana-4452	16	18	.	.	PUNCT
cana-4452	17	1	humans	human	NOUN
cana-4452	17	2	can	can	AUX
cana-4452	17	3	become	become	VERB
cana-4452	17	4	infected	infect	VERB
cana-4452	17	5	with	with	ADP
cana-4452	17	6	the	the	DET
cana-4452	17	7	nipah	nipah	PROPN
cana-4452	17	8	virus	virus	NOUN
cana-4452	17	9	through	through	ADP
cana-4452	17	10	close	close	ADJ
cana-4452	17	11	contact	contact	NOUN
cana-4452	17	12	with	with	ADP
cana-4452	17	13	infected	infect	VERB
cana-4452	17	14	individuals	individual	NOUN
cana-4452	17	15	or	or	CCONJ
cana-4452	17	16	animals	animal	NOUN
cana-4452	17	17	,	,	PUNCT
cana-4452	17	18	particularly	particularly	ADV
cana-4452	17	19	bats	bat	NOUN
cana-4452	17	20	and	and	CCONJ
cana-4452	17	21	pigs	pig	NOUN
cana-4452	17	22	.	.	PUNCT
cana-4452	18	1	the	the	DET
cana-4452	18	2	first	first	ADJ
cana-4452	18	3	major	major	ADJ
cana-4452	18	4	outbreak	outbreak	NOUN
cana-4452	18	5	occurred	occur	VERB
cana-4452	18	6	in	in	ADP
cana-4452	18	7	malaysia	malaysia	PROPN
cana-4452	18	8	in	in	ADP
cana-4452	18	9	1999	1999	NUM
cana-4452	18	10	,	,	PUNCT
cana-4452	18	11	where	where	SCONJ
cana-4452	18	12	the	the	DET
cana-4452	18	13	virus	virus	NOUN
cana-4452	18	14	was	be	AUX
cana-4452	18	15	linked	link	VERB
cana-4452	18	16	to	to	ADP
cana-4452	18	17	pigs	pig	NOUN
cana-4452	18	18	.	.	PUNCT
cana-4452	19	1	later	late	ADJ
cana-4452	19	2	outbreaks	outbreak	NOUN
cana-4452	19	3	in	in	ADP
cana-4452	19	4	bangladesh	bangladesh	PROPN
cana-4452	19	5	and	and	CCONJ
cana-4452	19	6	india	india	PROPN
cana-4452	19	7	showed	show	VERB
cana-4452	19	8	that	that	SCONJ
cana-4452	19	9	it	it	PRON
cana-4452	19	10	could	could	AUX
cana-4452	19	11	also	also	ADV
cana-4452	19	12	spread	spread	VERB
cana-4452	19	13	directly	directly	ADV
cana-4452	19	14	between	between	ADP
cana-4452	19	15	people	people	NOUN
cana-4452	19	16	through	through	ADP
cana-4452	19	17	bodily	bodily	ADJ
cana-4452	19	18	fluids	fluid	NOUN
cana-4452	19	19	and	and	CCONJ
cana-4452	19	20	secretions	secretion	NOUN
cana-4452	19	21	.	.	PUNCT
cana-4452	20	1	in	in	ADP
cana-4452	20	2	2001	2001	NUM
cana-4452	20	3	,	,	PUNCT
cana-4452	20	4	it	it	PRON
cana-4452	20	5	was	be	AUX
cana-4452	20	6	noted	note	VERB
cana-4452	20	7	that	that	SCONJ
cana-4452	20	8	the	the	DET
cana-4452	20	9	virus	virus	NOUN
cana-4452	20	10	might	might	AUX
cana-4452	20	11	spread	spread	VERB
cana-4452	20	12	within	within	ADP
cana-4452	20	13	a	a	DET
cana-4452	20	14	hospital	hospital	NOUN
cana-4452	20	15	environment	environment	NOUN
cana-4452	20	16	in	in	ADP
cana-4452	20	17	siliguri	siliguri	PROPN
cana-4452	20	18	,	,	PUNCT
cana-4452	20	19	india	india	PROPN
cana-4452	20	20	,	,	PUNCT
cana-4452	20	21	where	where	SCONJ
cana-4452	20	22	medical	medical	ADJ
cana-4452	20	23	employees	employee	NOUN
cana-4452	20	24	or	or	CCONJ
cana-4452	20	25	patients	patient	NOUN
cana-4452	20	26	accounted	account	VERB
cana-4452	20	27	for	for	ADP
cana-4452	20	28	75	75	NUM
cana-4452	20	29	percent	percent	NOUN
cana-4452	20	30	of	of	ADP
cana-4452	20	31	recorded	record	VERB
cana-4452	20	32	cases	case	NOUN
cana-4452	20	33	.	.	PUNCT
cana-4452	21	1	about	about	ADV
cana-4452	21	2	half	half	NOUN
cana-4452	21	3	of	of	ADP
cana-4452	21	4	the	the	DET
cana-4452	21	5	reported	report	VERB
cana-4452	21	6	cases	case	NOUN
cana-4452	21	7	in	in	ADP
cana-4452	21	8	bangladesh	bangladesh	NOUN
cana-4452	21	9	between	between	ADP
cana-4452	21	10	2001	2001	NUM
cana-4452	21	11	and	and	CCONJ
cana-4452	21	12	2008	2008	NUM
cana-4452	21	13	were	be	AUX
cana-4452	21	14	caused	cause	VERB
cana-4452	21	15	by	by	ADP
cana-4452	21	16	transmission	transmission	NOUN
cana-4452	21	17	from	from	ADP
cana-4452	21	18	person	person	NOUN
cana-4452	21	19	to	to	ADP
cana-4452	21	20	person	person	NOUN
cana-4452	21	21	while	while	SCONJ
cana-4452	21	22	treating	treat	VERB
cana-4452	21	23	infected	infected	ADJ
cana-4452	21	24	patients	patient	NOUN
cana-4452	21	25	.	.	PUNCT
cana-4452	22	1	individuals	individual	NOUN
cana-4452	22	2	who	who	PRON
cana-4452	22	3	are	be	AUX
cana-4452	22	4	infected	infect	VERB
cana-4452	22	5	initially	initially	ADV
cana-4452	22	6	exhibit	exhibit	VERB
cana-4452	22	7	symptoms	symptom	NOUN
cana-4452	22	8	such	such	ADJ
cana-4452	22	9	as	as	ADP
cana-4452	22	10	headaches	headache	NOUN
cana-4452	22	11	,	,	PUNCT
cana-4452	22	12	fever	fever	NOUN
cana-4452	22	13	,	,	PUNCT
cana-4452	22	14	vomiting	vomiting	NOUN
cana-4452	22	15	,	,	PUNCT
cana-4452	22	16	sore	sore	ADJ
cana-4452	22	17	throat	throat	NOUN
cana-4452	22	18	and	and	CCONJ
cana-4452	22	19	myalgia	myalgia	NOUN
cana-4452	22	20	(	(	PUNCT
cana-4452	22	21	muscle	muscle	NOUN
cana-4452	22	22	pain	pain	NOUN
cana-4452	22	23	)	)	PUNCT
cana-4452	22	24	.	.	PUNCT
cana-4452	23	1	these	these	DET
cana-4452	23	2	symptoms	symptom	NOUN
cana-4452	23	3	can	can	AUX
cana-4452	23	4	then	then	ADV
cana-4452	23	5	progress	progress	VERB
cana-4452	23	6	to	to	ADP
cana-4452	23	7	dizziness	dizziness	NOUN
cana-4452	23	8	,	,	PUNCT
cana-4452	23	9	sleepiness	sleepiness	NOUN
cana-4452	23	10	,	,	PUNCT
cana-4452	23	11	altered	altered	ADJ
cana-4452	23	12	awareness	awareness	NOUN
cana-4452	23	13	,	,	PUNCT
cana-4452	23	14	and	and	CCONJ
cana-4452	23	15	neurological	neurological	ADJ
cana-4452	23	16	indications	indication	NOUN
cana-4452	23	17	that	that	PRON
cana-4452	23	18	suggest	suggest	VERB
cana-4452	23	19	severe	severe	ADJ
cana-4452	23	20	encephalitis	encephalitis	NOUN
cana-4452	23	21	.	.	PUNCT
cana-4452	24	1	it	it	PRON
cana-4452	24	2	is	be	AUX
cana-4452	24	3	thought	think	VERB
cana-4452	24	4	that	that	SCONJ
cana-4452	24	5	the	the	DET
cana-4452	24	6	incubation	incubation	NOUN
cana-4452	24	7	time	time	NOUN
cana-4452	24	8	(	(	PUNCT
cana-4452	24	9	how	how	SCONJ
cana-4452	24	10	long	long	ADV
cana-4452	24	11	it	it	PRON
cana-4452	24	12	takes	take	VERB
cana-4452	24	13	for	for	SCONJ
cana-4452	24	14	symptoms	symptom	NOUN
cana-4452	24	15	to	to	PART
cana-4452	24	16	appear	appear	VERB
cana-4452	24	17	after	after	ADP
cana-4452	24	18	an	an	DET
cana-4452	24	19	infection	infection	NOUN
cana-4452	24	20	)	)	PUNCT
cana-4452	24	21	lasts	last	VERB
cana-4452	24	22	mailto:sujiselva8815@gmail.com	mailto:sujiselva8815@gmail.com	X
cana-4452	24	23	mailto:2000@yahoo.co.in	mailto:2000@yahoo.co.in	NOUN
cana-4452	24	24	communications	communication	NOUN
cana-4452	24	25	on	on	ADP
cana-4452	24	26	applied	apply	VERB
cana-4452	24	27	nonlinear	nonlinear	ADJ
cana-4452	24	28	analysis	analysis	NOUN
cana-4452	24	29	issn	issn	NOUN
cana-4452	24	30	:	:	PUNCT
cana-4452	24	31	1074	1074	NUM
cana-4452	24	32	-	-	PUNCT
cana-4452	24	33	133x	133x	NUM
cana-4452	24	34	vol	vol	NOUN
cana-4452	24	35	32	32	NUM
cana-4452	25	1	no	no	NOUN
cana-4452	25	2	.	.	PUNCT
cana-4452	26	1	9s	9s	NUM
cana-4452	26	2	(	(	PUNCT
cana-4452	26	3	2025	2025	NUM
cana-4452	26	4	)	)	PUNCT
cana-4452	26	5	2115	2115	NUM
cana-4452	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	26	7	between	between	ADP
cana-4452	26	8	4	4	NUM
cana-4452	26	9	and	and	CCONJ
cana-4452	26	10	14	14	NUM
cana-4452	26	11	days	day	NOUN
cana-4452	27	1	[	[	X
cana-4452	27	2	6	6	NUM
cana-4452	27	3	,	,	PUNCT
cana-4452	27	4	8	8	NUM
cana-4452	27	5	,	,	PUNCT
cana-4452	27	6	14	14	NUM
cana-4452	27	7	,	,	PUNCT
cana-4452	27	8	24	24	NUM
cana-4452	27	9	]	]	PUNCT
cana-4452	27	10	the	the	DET
cana-4452	27	11	nipah	nipah	PROPN
cana-4452	27	12	virus	virus	NOUN
cana-4452	27	13	,	,	PUNCT
cana-4452	27	14	a	a	DET
cana-4452	27	15	novel	novel	ADJ
cana-4452	27	16	type	type	NOUN
cana-4452	27	17	of	of	ADP
cana-4452	27	18	virus	virus	NOUN
cana-4452	27	19	in	in	ADP
cana-4452	27	20	the	the	DET
cana-4452	27	21	parayxoviridae	parayxoviridae	NOUN
cana-4452	27	22	family	family	NOUN
cana-4452	27	23	and	and	CCONJ
cana-4452	27	24	a	a	DET
cana-4452	27	25	member	member	NOUN
cana-4452	27	26	of	of	ADP
cana-4452	27	27	the	the	DET
cana-4452	27	28	genus	genus	ADJ
cana-4452	27	29	henipavirus	henipavirus	NOUN
cana-4452	27	30	,	,	PUNCT
cana-4452	27	31	has	have	AUX
cana-4452	27	32	gained	gain	VERB
cana-4452	27	33	attention	attention	NOUN
cana-4452	27	34	as	as	ADP
cana-4452	27	35	an	an	DET
cana-4452	27	36	emerging	emerge	VERB
cana-4452	27	37	zoonotic	zoonotic	ADJ
cana-4452	27	38	virus	virus	NOUN
cana-4452	27	39	in	in	ADP
cana-4452	27	40	the	the	DET
cana-4452	27	41	south	south	NOUN
cana-4452	27	42	-	-	PUNCT
cana-4452	27	43	east	east	NOUN
cana-4452	27	44	and	and	CCONJ
cana-4452	27	45	south	south	ADJ
cana-4452	27	46	asian	asian	ADJ
cana-4452	27	47	area	area	NOUN
cana-4452	27	48	.	.	PUNCT
cana-4452	28	1	because	because	SCONJ
cana-4452	28	2	of	of	ADP
cana-4452	28	3	this	this	PRON
cana-4452	28	4	,	,	PUNCT
cana-4452	28	5	epidemiology	epidemiology	NOUN
cana-4452	28	6	defines	define	VERB
cana-4452	28	7	health	health	NOUN
cana-4452	28	8	and	and	CCONJ
cana-4452	28	9	illness	illness	NOUN
cana-4452	28	10	in	in	ADP
cana-4452	28	11	terms	term	NOUN
cana-4452	28	12	of	of	ADP
cana-4452	28	13	the	the	DET
cana-4452	28	14	frequencies	frequency	NOUN
cana-4452	28	15	and	and	CCONJ
cana-4452	28	16	distributions	distribution	NOUN
cana-4452	28	17	of	of	ADP
cana-4452	28	18	factors	factor	NOUN
cana-4452	28	19	and	and	CCONJ
cana-4452	28	20	situations	situation	NOUN
cana-4452	28	21	in	in	ADP
cana-4452	28	22	a	a	DET
cana-4452	28	23	population	population	NOUN
cana-4452	28	24	or	or	CCONJ
cana-4452	28	25	in	in	ADP
cana-4452	28	26	a	a	DET
cana-4452	28	27	particular	particular	ADJ
cana-4452	28	28	subset	subset	NOUN
cana-4452	28	29	of	of	ADP
cana-4452	28	30	a	a	DET
cana-4452	28	31	population	population	NOUN
cana-4452	28	32	.	.	PUNCT
cana-4452	29	1	even	even	ADV
cana-4452	29	2	though	though	SCONJ
cana-4452	29	3	there	there	PRON
cana-4452	29	4	have	have	AUX
cana-4452	29	5	only	only	ADV
cana-4452	29	6	been	be	AUX
cana-4452	29	7	a	a	DET
cana-4452	29	8	few	few	ADJ
cana-4452	29	9	nipah	nipah	PROPN
cana-4452	29	10	virus	virus	NOUN
cana-4452	29	11	outbreaks	outbreak	NOUN
cana-4452	29	12	,	,	PUNCT
cana-4452	29	13	it	it	PRON
cana-4452	29	14	is	be	AUX
cana-4452	29	15	a	a	DET
cana-4452	29	16	matter	matter	NOUN
cana-4452	29	17	of	of	ADP
cana-4452	29	18	public	public	ADJ
cana-4452	29	19	health	health	NOUN
cana-4452	29	20	since	since	SCONJ
cana-4452	29	21	it	it	PRON
cana-4452	29	22	affects	affect	VERB
cana-4452	29	23	a	a	DET
cana-4452	29	24	broad	broad	ADJ
cana-4452	29	25	variety	variety	NOUN
cana-4452	29	26	of	of	ADP
cana-4452	29	27	animals	animal	NOUN
cana-4452	29	28	and	and	CCONJ
cana-4452	29	29	leads	lead	VERB
cana-4452	29	30	to	to	ADP
cana-4452	29	31	severe	severe	ADJ
cana-4452	29	32	illness	illness	NOUN
cana-4452	29	33	and	and	CCONJ
cana-4452	29	34	even	even	ADV
cana-4452	29	35	death	death	NOUN
cana-4452	29	36	in	in	ADP
cana-4452	29	37	humans	human	NOUN
cana-4452	29	38	.	.	PUNCT
cana-4452	30	1	as	as	SCONJ
cana-4452	30	2	the	the	DET
cana-4452	30	3	effectiveness	effectiveness	NOUN
cana-4452	30	4	of	of	ADP
cana-4452	30	5	antiviral	antiviral	ADJ
cana-4452	30	6	medications	medication	NOUN
cana-4452	30	7	is	be	AUX
cana-4452	30	8	unsatisfactory	unsatisfactory	ADJ
cana-4452	30	9	,	,	PUNCT
cana-4452	30	10	the	the	DET
cana-4452	30	11	majority	majority	NOUN
cana-4452	30	12	of	of	ADP
cana-4452	30	13	treatments	treatment	NOUN
cana-4452	30	14	are	be	AUX
cana-4452	30	15	symptomatic	symptomatic	ADJ
cana-4452	30	16	and	and	CCONJ
cana-4452	30	17	supportive	supportive	ADJ
cana-4452	30	18	.	.	PUNCT
cana-4452	31	1	in	in	ADP
cana-4452	31	2	light	light	NOUN
cana-4452	31	3	of	of	ADP
cana-4452	31	4	the	the	DET
cana-4452	31	5	extremely	extremely	ADV
cana-4452	31	6	high	high	ADJ
cana-4452	31	7	case	case	NOUN
cana-4452	31	8	fatality	fatality	NOUN
cana-4452	31	9	rate	rate	NOUN
cana-4452	31	10	,	,	PUNCT
cana-4452	31	11	effective	effective	ADJ
cana-4452	31	12	and	and	CCONJ
cana-4452	31	13	stringent	stringent	ADJ
cana-4452	31	14	control	control	NOUN
cana-4452	31	15	and	and	CCONJ
cana-4452	31	16	preventative	preventative	ADJ
cana-4452	31	17	measures	measure	NOUN
cana-4452	31	18	are	be	AUX
cana-4452	31	19	required	require	VERB
cana-4452	31	20	.	.	PUNCT
cana-4452	32	1	this	this	DET
cana-4452	32	2	study	study	NOUN
cana-4452	32	3	applies	apply	VERB
cana-4452	32	4	stability	stability	NOUN
cana-4452	32	5	analysis	analysis	NOUN
cana-4452	32	6	and	and	CCONJ
cana-4452	32	7	the	the	DET
cana-4452	32	8	q	q	X
cana-4452	32	9	−	−	PROPN
cana-4452	32	10	hatm	hatm	ADJ
cana-4452	32	11	method	method	NOUN
cana-4452	32	12	to	to	ADP
cana-4452	32	13	nipah	nipah	NOUN
cana-4452	32	14	virus	virus	NOUN
cana-4452	32	15	(	(	PUNCT
cana-4452	32	16	niv	niv	ADJ
cana-4452	32	17	)	)	PUNCT
cana-4452	32	18	infections	infection	NOUN
cana-4452	32	19	and	and	CCONJ
cana-4452	32	20	explores	explore	VERB
cana-4452	32	21	potential	potential	ADJ
cana-4452	32	22	q	q	NOUN
cana-4452	32	23	−	−	PROPN
cana-4452	32	24	hatm	hatm	ADJ
cana-4452	32	25	preventative	preventative	ADJ
cana-4452	32	26	and	and	CCONJ
cana-4452	32	27	control	control	NOUN
cana-4452	32	28	measures	measure	NOUN
cana-4452	32	29	[	[	X
cana-4452	32	30	1	1	NUM
cana-4452	32	31	,	,	PUNCT
cana-4452	32	32	2	2	NUM
cana-4452	32	33	,	,	PUNCT
cana-4452	32	34	21	21	NUM
cana-4452	32	35	,	,	PUNCT
cana-4452	32	36	25	25	NUM
cana-4452	32	37	]	]	PUNCT
cana-4452	32	38	.	.	PUNCT
cana-4452	33	1	finding	find	VERB
cana-4452	33	2	exact	exact	ADJ
cana-4452	33	3	solutions	solution	NOUN
cana-4452	33	4	to	to	PART
cana-4452	33	5	differential	differential	VERB
cana-4452	33	6	equations	equation	NOUN
cana-4452	33	7	with	with	ADP
cana-4452	33	8	fractional	fractional	ADJ
cana-4452	33	9	orders	order	NOUN
cana-4452	33	10	appears	appear	VERB
cana-4452	33	11	to	to	PART
cana-4452	33	12	be	be	AUX
cana-4452	33	13	substantially	substantially	ADV
cana-4452	33	14	more	more	ADV
cana-4452	33	15	challenging	challenging	ADJ
cana-4452	33	16	than	than	ADP
cana-4452	33	17	carrying	carry	VERB
cana-4452	33	18	out	out	ADP
cana-4452	33	19	the	the	DET
cana-4452	33	20	same	same	ADJ
cana-4452	33	21	tasks	task	NOUN
cana-4452	33	22	for	for	ADP
cana-4452	33	23	equations	equation	NOUN
cana-4452	33	24	with	with	ADP
cana-4452	33	25	corresponding	corresponding	ADJ
cana-4452	33	26	integer	integer	NOUN
cana-4452	33	27	orders	order	NOUN
cana-4452	33	28	.	.	PUNCT
cana-4452	34	1	thus	thus	ADV
cana-4452	34	2	,	,	PUNCT
cana-4452	34	3	much	much	ADJ
cana-4452	34	4	emphasis	emphasis	NOUN
cana-4452	34	5	has	have	AUX
cana-4452	34	6	been	be	AUX
cana-4452	34	7	paid	pay	VERB
cana-4452	34	8	to	to	ADP
cana-4452	34	9	developing	develop	VERB
cana-4452	34	10	effective	effective	ADJ
cana-4452	34	11	numerical	numerical	ADJ
cana-4452	34	12	and	and	CCONJ
cana-4452	34	13	analytical	analytical	ADJ
cana-4452	34	14	methodologies	methodology	NOUN
cana-4452	34	15	for	for	ADP
cana-4452	34	16	estimating	estimate	VERB
cana-4452	34	17	answers	answer	NOUN
cana-4452	34	18	to	to	ADP
cana-4452	34	19	this	this	DET
cana-4452	34	20	kind	kind	NOUN
cana-4452	34	21	of	of	ADP
cana-4452	34	22	issue	issue	NOUN
cana-4452	34	23	.	.	PUNCT
cana-4452	35	1	the	the	DET
cana-4452	35	2	homotopy	homotopy	NOUN
cana-4452	35	3	perturbation	perturbation	NOUN
cana-4452	35	4	method	method	NOUN
cana-4452	35	5	,	,	PUNCT
cana-4452	35	6	laplace	laplace	NOUN
cana-4452	35	7	decomposition	decomposition	NOUN
cana-4452	35	8	method	method	NOUN
cana-4452	35	9	,	,	PUNCT
cana-4452	35	10	homotopy	homotopy	VERB
cana-4452	35	11	analysis	analysis	NOUN
cana-4452	35	12	method	method	NOUN
cana-4452	35	13	(	(	PUNCT
cana-4452	35	14	ham	ham	NOUN
cana-4452	35	15	)	)	PUNCT
cana-4452	36	1	[	[	X
cana-4452	36	2	21	21	NUM
cana-4452	36	3	]	]	PUNCT
cana-4452	36	4	,	,	PUNCT
cana-4452	36	5	and	and	CCONJ
cana-4452	36	6	adomian	adomian	NOUN
cana-4452	36	7	decomposition	decomposition	NOUN
cana-4452	36	8	method	method	NOUN
cana-4452	36	9	are	be	AUX
cana-4452	36	10	a	a	DET
cana-4452	36	11	few	few	ADJ
cana-4452	36	12	methods	method	NOUN
cana-4452	36	13	used	use	VERB
cana-4452	36	14	at	at	ADP
cana-4452	36	15	present	present	ADJ
cana-4452	36	16	.	.	PUNCT
cana-4452	37	1	the	the	DET
cana-4452	37	2	q	q	X
cana-4452	37	3	−	−	PROPN
cana-4452	37	4	hatm	hatm	ADJ
cana-4452	37	5	procedure	procedure	NOUN
cana-4452	37	6	is	be	AUX
cana-4452	37	7	yet	yet	ADV
cana-4452	37	8	another	another	DET
cana-4452	37	9	really	really	ADV
cana-4452	37	10	potent	potent	ADJ
cana-4452	37	11	technique	technique	NOUN
cana-4452	37	12	.	.	PUNCT
cana-4452	38	1	this	this	DET
cana-4452	38	2	q	q	PUNCT
cana-4452	38	3	−	−	PROPN
cana-4452	38	4	hatm	hatm	ADJ
cana-4452	38	5	technique	technique	NOUN
cana-4452	38	6	merges	merge	VERB
cana-4452	38	7	the	the	DET
cana-4452	38	8	ltm	ltm	PROPN
cana-4452	38	9	and	and	CCONJ
cana-4452	38	10	ham	ham	NOUN
cana-4452	38	11	when	when	SCONJ
cana-4452	38	12	q	q	PROPN
cana-4452	38	13	∈	∈	PROPN
cana-4452	38	14	[	[	X
cana-4452	38	15	0,1/	0,1/	NOUN
cana-4452	38	16	m	m	NOUN
cana-4452	38	17	]	]	PUNCT
cana-4452	38	18	definition	definition	NOUN
cana-4452	38	19	1.1	1.1	NUM
cana-4452	38	20	[	[	X
cana-4452	38	21	26	26	NUM
cana-4452	38	22	]	]	PUNCT
cana-4452	38	23	.	.	PUNCT
cana-4452	39	1	the	the	DET
cana-4452	39	2	fractional	fractional	ADJ
cana-4452	39	3	r	r	NOUN
cana-4452	39	4	-	-	PUNCT
cana-4452	39	5	l	l	NOUN
cana-4452	39	6	derivative	derivative	NOUN
cana-4452	39	7	of	of	ADP
cana-4452	39	8	a	a	DET
cana-4452	39	9	function	function	NOUN
cana-4452	39	10	f(ι	f(ι	NOUN
cana-4452	39	11	)	)	PUNCT
cana-4452	39	12	is	be	AUX
cana-4452	39	13	determined	determine	VERB
cana-4452	39	14	as	as	ADP
cana-4452	39	15	𝐽℘(𝑓(𝜄	𝐽℘(𝑓(𝜄	NOUN
cana-4452	39	16	)	)	PUNCT
cana-4452	39	17	)	)	PUNCT
cana-4452	40	1	=	=	SYM
cana-4452	40	2	1	1	NUM
cana-4452	40	3	γ	γ	X
cana-4452	40	4	(	(	PUNCT
cana-4452	40	5	℘	℘	PROPN
cana-4452	40	6	)	)	PUNCT
cana-4452	40	7	∫	∫	PROPN
cana-4452	40	8	  	  	SPACE
cana-4452	40	9	𝜄	𝜄	X
cana-4452	40	10	0	0	PROPN
cana-4452	41	1	(	(	PUNCT
cana-4452	41	2	𝜄	𝜄	PROPN
cana-4452	41	3	−	−	PROPN
cana-4452	41	4	𝜚)℘−1(𝑓(𝜚))𝑑𝜚	𝜚)℘−1(𝑓(𝜚))𝑑𝜚	NOUN
cana-4452	41	5	(	(	PUNCT
cana-4452	41	6	1	1	NUM
cana-4452	41	7	)	)	PUNCT
cana-4452	41	8	definition	definition	NOUN
cana-4452	41	9	1.2	1.2	NUM
cana-4452	42	1	[	[	X
cana-4452	42	2	26	26	NUM
cana-4452	42	3	]	]	PUNCT
cana-4452	42	4	the	the	DET
cana-4452	42	5	caputo	caputo	PROPN
cana-4452	42	6	fractional	fractional	PROPN
cana-4452	42	7	order	order	NOUN
cana-4452	42	8	derivative	derivative	NOUN
cana-4452	42	9	of	of	ADP
cana-4452	42	10	f	f	PROPN
cana-4452	42	11	∈	∈	PROPN
cana-4452	42	12	c	c	PROPN
cana-4452	42	13	is	be	AUX
cana-4452	42	14	presented	present	VERB
cana-4452	42	15	as	as	SCONJ
cana-4452	42	16	follows	follow	VERB
cana-4452	42	17	:	:	PUNCT
cana-4452	42	18	𝐷𝜄	𝐷𝜄	NOUN
cana-4452	42	19	℘(𝑓(𝜄	℘(𝑓(𝜄	NOUN
cana-4452	42	20	)	)	PUNCT
cana-4452	43	1	=	=	PRON
cana-4452	43	2	{	{	PUNCT
cana-4452	43	3	𝑑𝑚𝑓(𝜄	𝑑𝑚𝑓(𝜄	PROPN
cana-4452	43	4	)	)	PUNCT
cana-4452	43	5	𝑑𝜄𝑚	𝑑𝜄𝑚	NOUN
cana-4452	43	6	if	if	SCONJ
cana-4452	43	7	℘	℘	PROPN
cana-4452	43	8	=	=	SYM
cana-4452	43	9	𝑚	𝑚	ADP
cana-4452	43	10	∈	∈	NOUN
cana-4452	43	11	𝑁	𝑁	PROPN
cana-4452	43	12	1	1	NUM
cana-4452	43	13	γ(𝑚	γ(𝑚	VERB
cana-4452	43	14	−℘	−℘	NOUN
cana-4452	43	15	)	)	PUNCT
cana-4452	43	16	∫	∫	PROPN
cana-4452	43	17	  	  	SPACE
cana-4452	44	1	𝜄	𝜄	PROPN
cana-4452	44	2	0	0	NUM
cana-4452	44	3	  	  	SPACE
cana-4452	44	4	(	(	PUNCT
cana-4452	44	5	𝜄	𝜄	PROPN
cana-4452	44	6	−	−	PROPN
cana-4452	44	7	𝜚)𝑚−℘−1(𝑓𝑚(𝜚))𝑑𝜚	𝜚)𝑚−℘−1(𝑓𝑚(𝜚))𝑑𝜚	PROPN
cana-4452	44	8	if	if	SCONJ
cana-4452	44	9	𝑚−	𝑚−	NOUN
cana-4452	44	10	1	1	NUM
cana-4452	44	11	<	<	PART
cana-4452	44	12	℘	℘	PROPN
cana-4452	44	13	<	<	X
cana-4452	44	14	𝑚,𝑚	𝑚,𝑚	NOUN
cana-4452	44	15	∈	∈	X
cana-4452	44	16	𝑁	𝑁	PROPN
cana-4452	44	17	(	(	PUNCT
cana-4452	44	18	2	2	NUM
cana-4452	44	19	)	)	PUNCT
cana-4452	44	20	definition	definition	NOUN
cana-4452	44	21	1.3	1.3	NUM
cana-4452	44	22	.	.	PUNCT
cana-4452	45	1	[	[	X
cana-4452	45	2	26	26	NUM
cana-4452	45	3	]	]	X
cana-4452	45	4	the	the	DET
cana-4452	45	5	lt	lt	NOUN
cana-4452	45	6	of	of	ADP
cana-4452	45	7	f(ι	f(ι	NOUN
cana-4452	45	8	)	)	PUNCT
cana-4452	45	9	with	with	ADP
cana-4452	45	10	respect	respect	NOUN
cana-4452	45	11	to	to	ADP
cana-4452	45	12	fractional	fractional	PROPN
cana-4452	45	13	caputo	caputo	PROPN
cana-4452	45	14	derivative	derivative	NOUN
cana-4452	45	15	is	be	AUX
cana-4452	45	16	ℒ[𝐷𝜄	ℒ[𝐷𝜄	PROPN
cana-4452	45	17	℘(𝑓(𝜄	℘(𝑓(𝜄	NUM
cana-4452	45	18	)	)	PUNCT
cana-4452	45	19	)	)	PUNCT
cana-4452	45	20	]	]	PUNCT
cana-4452	46	1	=	=	SYM
cana-4452	46	2	𝑠℘𝐹(𝑠	𝑠℘𝐹(𝑠	X
cana-4452	46	3	)	)	PUNCT
cana-4452	46	4	−	−	NOUN
cana-4452	46	5	∑	∑	ADP
cana-4452	46	6	  	  	SPACE
cana-4452	46	7	𝑚−1	𝑚−1	PROPN
cana-4452	46	8	𝑟=0	𝑟=0	PUNCT
cana-4452	46	9	𝑠℘−𝑟−1𝑓(𝑟)(0	𝑠℘−𝑟−1𝑓(𝑟)(0	PROPN
cana-4452	46	10	+	+	NOUN
cana-4452	46	11	)	)	PUNCT
cana-4452	46	12	,	,	PUNCT
cana-4452	46	13	(	(	PUNCT
cana-4452	46	14	𝑚	𝑚	X
cana-4452	46	15	−	−	PROPN
cana-4452	46	16	1	1	NUM
cana-4452	46	17	<	<	X
cana-4452	46	18	℘	℘	PROPN
cana-4452	46	19	≤	≤	NUM
cana-4452	46	20	𝑚	𝑚	NOUN
cana-4452	46	21	)	)	PUNCT
cana-4452	46	22	,	,	PUNCT
cana-4452	46	23	(	(	PUNCT
cana-4452	46	24	3	3	X
cana-4452	46	25	)	)	PUNCT
cana-4452	46	26	where	where	SCONJ
cana-4452	46	27	f(s	f(	VERB
cana-4452	46	28	)	)	PUNCT
cana-4452	46	29	is	be	AUX
cana-4452	46	30	lt	lt	PRON
cana-4452	46	31	of	of	ADP
cana-4452	46	32	f(ι	f(ι	NOUN
cana-4452	46	33	)	)	PUNCT
cana-4452	46	34	.	.	PUNCT
cana-4452	47	1	here	here	ADV
cana-4452	47	2	we	we	PRON
cana-4452	47	3	solve	solve	VERB
cana-4452	47	4	fractional	fractional	ADJ
cana-4452	47	5	differential	differential	ADJ
cana-4452	47	6	equations	equation	NOUN
cana-4452	47	7	to	to	PART
cana-4452	47	8	illustrate	illustrate	VERB
cana-4452	47	9	how	how	SCONJ
cana-4452	47	10	the	the	DET
cana-4452	47	11	suggested	suggest	VERB
cana-4452	47	12	method	method	NOUN
cana-4452	47	13	can	can	AUX
cana-4452	47	14	be	be	AUX
cana-4452	47	15	applied	apply	VERB
cana-4452	47	16	.	.	PUNCT
cana-4452	48	1	𝐷	𝐷	NOUN
cana-4452	48	2	𝜄	𝜄	PROPN
cana-4452	48	3	℘	℘	PROPN
cana-4452	48	4	𝜚(ζ	𝜚(ζ	PROPN
cana-4452	48	5	,	,	PUNCT
cana-4452	48	6	ι	ι	PRON
cana-4452	48	7	)	)	PUNCT
cana-4452	49	1	+	+	CCONJ
cana-4452	49	2	r	r	NOUN
cana-4452	49	3	𝜚(ζ	𝜚(ζ	NOUN
cana-4452	49	4	,	,	PUNCT
cana-4452	49	5	ι	ι	PROPN
cana-4452	49	6	)	)	PUNCT
cana-4452	49	7	+	+	NUM
cana-4452	49	8	n	n	CCONJ
cana-4452	49	9	𝜚(ζ	𝜚(ζ	NOUN
cana-4452	49	10	,	,	PUNCT
cana-4452	49	11	ι	ι	X
cana-4452	49	12	)	)	PUNCT
cana-4452	49	13	=	=	SYM
cana-4452	49	14	g(ζ	g(ζ	PROPN
cana-4452	49	15	,	,	PUNCT
cana-4452	49	16	ι),m	ι),m	PUNCT
cana-4452	49	17	−	−	PROPN
cana-4452	49	18	1	1	NUM
cana-4452	49	19	<	<	X
cana-4452	49	20	℘	℘	PROPN
cana-4452	49	21	≤	≤	NUM
cana-4452	49	22	m	m	ADP
cana-4452	49	23	,	,	PUNCT
cana-4452	49	24	(	(	PUNCT
cana-4452	49	25	4	4	X
cana-4452	49	26	)	)	PUNCT
cana-4452	49	27	communications	communication	NOUN
cana-4452	49	28	on	on	ADP
cana-4452	49	29	applied	apply	VERB
cana-4452	49	30	nonlinear	nonlinear	ADJ
cana-4452	49	31	analysis	analysis	NOUN
cana-4452	49	32	issn	issn	NOUN
cana-4452	49	33	:	:	PUNCT
cana-4452	49	34	1074	1074	NUM
cana-4452	49	35	-	-	PUNCT
cana-4452	49	36	133x	133x	NUM
cana-4452	49	37	vol	vol	NOUN
cana-4452	49	38	32	32	NUM
cana-4452	49	39	no	no	NOUN
cana-4452	49	40	.	.	PUNCT
cana-4452	50	1	9s	9s	NUM
cana-4452	50	2	(	(	PUNCT
cana-4452	50	3	2025	2025	NUM
cana-4452	50	4	)	)	PUNCT
cana-4452	50	5	2116	2116	NUM
cana-4452	51	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	51	2	`	`	PUNCT
cana-4452	51	3	𝜚(ζ	𝜚(ζ	NOUN
cana-4452	51	4	,	,	PUNCT
cana-4452	51	5	0	0	NUM
cana-4452	51	6	)	)	PUNCT
cana-4452	51	7	=	=	SYM
cana-4452	51	8	g(ζ	g(ζ	PROPN
cana-4452	51	9	)	)	PUNCT
cana-4452	51	10	,	,	PUNCT
cana-4452	51	11	(	(	PUNCT
cana-4452	51	12	5	5	X
cana-4452	51	13	)	)	PUNCT
cana-4452	51	14	where	where	SCONJ
cana-4452	51	15	𝐷𝜄	𝐷𝜄	NOUN
cana-4452	51	16	℘𝜚(𝜁	℘𝜚(𝜁	NOUN
cana-4452	51	17	,	,	PUNCT
cana-4452	51	18	𝜄	𝜄	X
cana-4452	51	19	)	)	PUNCT
cana-4452	51	20	symbolise	symbolise	VERB
cana-4452	51	21	the	the	DET
cana-4452	51	22	caputo	caputo	PROPN
cana-4452	51	23	derivative	derivative	NOUN
cana-4452	51	24	of	of	ADP
cana-4452	51	25	𝜚(ζ	𝜚(ζ	PROPN
cana-4452	51	26	,	,	PUNCT
cana-4452	51	27	ι	ι	PROPN
cana-4452	51	28	)	)	PUNCT
cana-4452	51	29	,	,	PUNCT
cana-4452	51	30	utilizing	utilize	VERB
cana-4452	51	31	the	the	DET
cana-4452	51	32	lt	lt	NOUN
cana-4452	51	33	of	of	ADP
cana-4452	51	34	equation	equation	NOUN
cana-4452	51	35	(	(	PUNCT
cana-4452	51	36	4	4	NUM
cana-4452	51	37	)	)	PUNCT
cana-4452	51	38	,	,	PUNCT
cana-4452	51	39	we	we	PRON
cana-4452	51	40	obtain	obtain	VERB
cana-4452	51	41	the	the	DET
cana-4452	51	42	following	follow	VERB
cana-4452	51	43	equation	equation	NOUN
cana-4452	51	44	ℒ[𝜚(𝜁	ℒ[𝜚(𝜁	NOUN
cana-4452	51	45	,	,	PUNCT
cana-4452	51	46	𝜄	𝜄	PROPN
cana-4452	51	47	)	)	PUNCT
cana-4452	51	48	]	]	PUNCT
cana-4452	51	49	−	−	PROPN
cana-4452	51	50	𝜚(𝜁,0	𝜚(𝜁,0	PROPN
cana-4452	51	51	)	)	PUNCT
cana-4452	51	52	𝑠	𝑠	PROPN
cana-4452	52	1	+	+	CCONJ
cana-4452	52	2	(	(	PUNCT
cana-4452	52	3	1−℘+	1−℘+	NUM
cana-4452	52	4	℘	℘	PROPN
cana-4452	52	5	𝑠℘	𝑠℘	NUM
cana-4452	52	6	)	)	PUNCT
cana-4452	53	1	ℬ(℘	ℬ(℘	PROPN
cana-4452	53	2	)	)	PUNCT
cana-4452	53	3	{	{	PUNCT
cana-4452	53	4	ℒ[ℛ𝜚(𝜁	ℒ[ℛ𝜚(𝜁	NOUN
cana-4452	53	5	,	,	PUNCT
cana-4452	53	6	𝜄	𝜄	PROPN
cana-4452	53	7	)	)	PUNCT
cana-4452	53	8	]	]	PUNCT
cana-4452	54	1	+	+	NUM
cana-4452	54	2	ℒ[𝒩𝜚(𝜁	ℒ[𝒩𝜚(𝜁	NOUN
cana-4452	54	3	,	,	PUNCT
cana-4452	54	4	𝜄	𝜄	PROPN
cana-4452	54	5	)	)	PUNCT
cana-4452	54	6	]	]	PUNCT
cana-4452	55	1	−	−	PROPN
cana-4452	55	2	ℒ[𝔤(𝜁	ℒ[𝔤(𝜁	PROPN
cana-4452	55	3	,	,	PUNCT
cana-4452	55	4	𝜄	𝜄	PROPN
cana-4452	55	5	)	)	PUNCT
cana-4452	55	6	]	]	PUNCT
cana-4452	55	7	}	}	PUNCT
cana-4452	55	8	=	=	SYM
cana-4452	55	9	0	0	NUM
cana-4452	55	10	(	(	PUNCT
cana-4452	55	11	6	6	NUM
cana-4452	55	12	)	)	PUNCT
cana-4452	55	13	following	follow	VERB
cana-4452	55	14	are	be	AUX
cana-4452	55	15	the	the	DET
cana-4452	55	16	steps	step	NOUN
cana-4452	55	17	involved	involve	VERB
cana-4452	55	18	in	in	ADP
cana-4452	55	19	creating	create	VERB
cana-4452	55	20	a	a	DET
cana-4452	55	21	homotopy	homotopy	NOUN
cana-4452	55	22	for	for	ADP
cana-4452	55	23	a	a	DET
cana-4452	55	24	primary	primary	ADJ
cana-4452	55	25	function	function	NOUN
cana-4452	55	26	that	that	PRON
cana-4452	55	27	is	be	AUX
cana-4452	55	28	non	non	ADJ
cana-4452	55	29	zero	zero	NUM
cana-4452	55	30	:	:	PUNCT
cana-4452	55	31	𝒩[𝜗(𝜁	𝒩[𝜗(𝜁	NOUN
cana-4452	55	32	,	,	PUNCT
cana-4452	55	33	𝜄	𝜄	PROPN
cana-4452	55	34	;	;	PUNCT
cana-4452	55	35	𝑞	𝑞	X
cana-4452	55	36	)	)	PUNCT
cana-4452	55	37	]	]	PUNCT
cana-4452	56	1	=	=	SYM
cana-4452	56	2	ℒ[𝜗(𝜁	ℒ[𝜗(𝜁	PROPN
cana-4452	56	3	,	,	PUNCT
cana-4452	56	4	𝜄	𝜄	X
cana-4452	56	5	;	;	PUNCT
cana-4452	56	6	𝑞	𝑞	X
cana-4452	56	7	)	)	PUNCT
cana-4452	56	8	]	]	PUNCT
cana-4452	56	9	−	−	PROPN
cana-4452	57	1	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	57	2	,	,	PUNCT
cana-4452	57	3	0	0	NUM
cana-4452	57	4	)	)	PUNCT
cana-4452	57	5	𝑠	𝑠	PROPN
cana-4452	58	1	+	+	CCONJ
cana-4452	58	2	(	(	PUNCT
cana-4452	58	3	1	1	NUM
cana-4452	58	4	−	−	NOUN
cana-4452	58	5	℘	℘	NOUN
cana-4452	58	6	+	+	CCONJ
cana-4452	58	7	℘	℘	NOUN
cana-4452	58	8	𝑠℘	𝑠℘	NUM
cana-4452	58	9	)	)	PUNCT
cana-4452	59	1	ℬ(℘	ℬ(℘	PROPN
cana-4452	59	2	)	)	PUNCT
cana-4452	59	3	{	{	PUNCT
cana-4452	59	4	ℒ[ℛ𝜗(𝜁	ℒ[ℛ𝜗(𝜁	ADV
cana-4452	59	5	,	,	PUNCT
cana-4452	59	6	𝜄	𝜄	X
cana-4452	59	7	;	;	PUNCT
cana-4452	59	8	𝑞	𝑞	X
cana-4452	59	9	)	)	PUNCT
cana-4452	59	10	]	]	PUNCT
cana-4452	59	11	+	+	CCONJ
cana-4452	59	12	ℒ[𝒩𝜗(𝜁	ℒ[𝒩𝜗(𝜁	NUM
cana-4452	59	13	,	,	PUNCT
cana-4452	59	14	𝜄	𝜄	X
cana-4452	59	15	;	;	PUNCT
cana-4452	59	16	𝑞	𝑞	X
cana-4452	59	17	)	)	PUNCT
cana-4452	59	18	]	]	PUNCT
cana-4452	59	19	}	}	PUNCT
cana-4452	59	20	−	−	PROPN
cana-4452	59	21	(	(	PUNCT
cana-4452	59	22	1	1	NUM
cana-4452	59	23	−	−	NOUN
cana-4452	59	24	℘	℘	NOUN
cana-4452	59	25	+	+	CCONJ
cana-4452	59	26	℘	℘	NOUN
cana-4452	59	27	𝑠℘	𝑠℘	NUM
cana-4452	59	28	)	)	PUNCT
cana-4452	60	1	ℬ(℘	ℬ(℘	PROPN
cana-4452	60	2	)	)	PUNCT
cana-4452	60	3	ℒ[𝔤(𝜁	ℒ[𝔤(𝜁	PROPN
cana-4452	60	4	,	,	PUNCT
cana-4452	60	5	𝜄	𝜄	X
cana-4452	60	6	;	;	PUNCT
cana-4452	60	7	𝑞	𝑞	X
cana-4452	60	8	)	)	PUNCT
cana-4452	60	9	]	]	PUNCT
cana-4452	60	10	(	(	PUNCT
cana-4452	60	11	7	7	X
cana-4452	60	12	)	)	PUNCT
cana-4452	60	13	where	where	SCONJ
cana-4452	60	14	𝑞	𝑞	PROPN
cana-4452	60	15	∈	∈	PROPN
cana-4452	61	1	[	[	X
cana-4452	61	2	0	0	NUM
cana-4452	61	3	,	,	PUNCT
cana-4452	61	4	1	1	NUM
cana-4452	61	5	𝔪	𝔪	NOUN
cana-4452	61	6	]	]	PUNCT
cana-4452	61	7	and	and	CCONJ
cana-4452	61	8	a	a	DET
cana-4452	61	9	real	real	ADJ
cana-4452	61	10	function	function	NOUN
cana-4452	61	11	of	of	ADP
cana-4452	61	12	𝜁	𝜁	PROPN
cana-4452	61	13	,	,	PUNCT
cana-4452	61	14	𝜄	𝜄	PROPN
cana-4452	61	15	and	and	CCONJ
cana-4452	61	16	𝑞	𝑞	PROPN
cana-4452	61	17	is	be	AUX
cana-4452	61	18	𝜗(𝜁	𝜗(𝜁	ADJ
cana-4452	61	19	,	,	PUNCT
cana-4452	61	20	𝜄	𝜄	X
cana-4452	61	21	;	;	PUNCT
cana-4452	61	22	𝑞	𝑞	NOUN
cana-4452	61	23	)	)	PUNCT
cana-4452	61	24	.	.	PUNCT
cana-4452	62	1	for	for	ADP
cana-4452	62	2	primary	primary	ADJ
cana-4452	62	3	functions	function	NOUN
cana-4452	62	4	that	that	PRON
cana-4452	62	5	are	be	AUX
cana-4452	62	6	non	non	ADJ
cana-4452	62	7	zero	zero	NUM
cana-4452	62	8	,	,	PUNCT
cana-4452	62	9	we	we	PRON
cana-4452	62	10	establish	establish	VERB
cana-4452	62	11	the	the	DET
cana-4452	62	12	following	follow	VERB
cana-4452	62	13	homotopy	homotopy	NOUN
cana-4452	62	14	:	:	PUNCT
cana-4452	62	15	(	(	PUNCT
cana-4452	62	16	1	1	NUM
cana-4452	62	17	−	−	NOUN
cana-4452	62	18	𝔫𝑞)ℒ{𝜗(𝜁	𝔫𝑞)ℒ{𝜗(𝜁	NOUN
cana-4452	62	19	,	,	PUNCT
cana-4452	62	20	𝜄	𝜄	X
cana-4452	62	21	;	;	PUNCT
cana-4452	62	22	𝑞	𝑞	NOUN
cana-4452	62	23	)	)	PUNCT
cana-4452	62	24	−	−	PROPN
cana-4452	63	1	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	63	2	,	,	PUNCT
cana-4452	63	3	0	0	NUM
cana-4452	63	4	)	)	PUNCT
cana-4452	63	5	}	}	PUNCT
cana-4452	63	6	=	=	SYM
cana-4452	63	7	𝔥𝑞𝒩{𝜗(𝜁	𝔥𝑞𝒩{𝜗(𝜁	X
cana-4452	63	8	,	,	PUNCT
cana-4452	63	9	𝜄	𝜄	X
cana-4452	63	10	;	;	PUNCT
cana-4452	63	11	𝑞	𝑞	NOUN
cana-4452	63	12	)	)	PUNCT
cana-4452	63	13	}	}	PUNCT
cana-4452	63	14	,	,	PUNCT
cana-4452	63	15	(	(	PUNCT
cana-4452	63	16	8)	8)	NUM
cana-4452	63	17	where	where	SCONJ
cana-4452	63	18	ℒ	ℒ	PROPN
cana-4452	63	19	is	be	AUX
cana-4452	63	20	denotes	denote	NOUN
cana-4452	63	21	the	the	DET
cana-4452	63	22	lt	lt	NOUN
cana-4452	63	23	,	,	PUNCT
cana-4452	63	24	the	the	DET
cana-4452	63	25	constant	constant	ADJ
cana-4452	63	26	parameter	parameter	NOUN
cana-4452	63	27	appears	appear	VERB
cana-4452	63	28	to	to	PART
cana-4452	63	29	be	be	AUX
cana-4452	63	30	𝑞	𝑞	PRON
cana-4452	63	31	∈	∈	PROPN
cana-4452	63	32	[	[	X
cana-4452	63	33	0	0	NUM
cana-4452	63	34	,	,	PUNCT
cana-4452	63	35	1	1	NUM
cana-4452	63	36	𝔪	𝔪	NOUN
cana-4452	63	37	]	]	PUNCT
cana-4452	63	38	,	,	PUNCT
cana-4452	63	39	(	(	PUNCT
cana-4452	63	40	𝔪	𝔪	DET
cana-4452	63	41	≥	≥	NOUN
cana-4452	63	42	1	1	NUM
cana-4452	63	43	)	)	PUNCT
cana-4452	63	44	and	and	CCONJ
cana-4452	63	45	𝔥	𝔥	PRON
cana-4452	63	46	≠	≠	PROPN
cana-4452	63	47	0	0	NUM
cana-4452	63	48	is	be	AUX
cana-4452	63	49	a	a	DET
cana-4452	63	50	supporting	support	VERB
cana-4452	63	51	variable	variable	NOUN
cana-4452	63	52	,	,	PUNCT
cana-4452	63	53	𝜗(𝜁	𝜗(𝜁	ADV
cana-4452	63	54	,	,	PUNCT
cana-4452	63	55	𝜄	𝜄	X
cana-4452	63	56	;	;	PUNCT
cana-4452	63	57	𝑞	𝑞	X
cana-4452	63	58	)	)	PUNCT
cana-4452	63	59	is	be	AUX
cana-4452	63	60	an	an	DET
cana-4452	63	61	undetermined	undetermined	ADJ
cana-4452	63	62	function	function	NOUN
cana-4452	63	63	,	,	PUNCT
cana-4452	63	64	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	63	65	,	,	PUNCT
cana-4452	63	66	𝜄	𝜄	NOUN
cana-4452	63	67	)	)	PUNCT
cana-4452	63	68	is	be	AUX
cana-4452	63	69	an	an	DET
cana-4452	63	70	initial	initial	ADJ
cana-4452	63	71	estimation	estimation	NOUN
cana-4452	63	72	of	of	ADP
cana-4452	63	73	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	63	74	,	,	PUNCT
cana-4452	63	75	𝜄	𝜄	PROPN
cana-4452	63	76	;	;	PUNCT
cana-4452	63	77	𝑞	𝑞	NOUN
cana-4452	63	78	)	)	PUNCT
cana-4452	63	79	.	.	PUNCT
cana-4452	64	1	for	for	ADP
cana-4452	64	2	𝑞	𝑞	PROPN
cana-4452	64	3	=	=	SYM
cana-4452	64	4	0	0	PROPN
cana-4452	64	5	and	and	CCONJ
cana-4452	64	6	𝑞	𝑞	X
cana-4452	64	7	=	=	NOUN
cana-4452	64	8	1	1	NUM
cana-4452	64	9	𝔪	𝔪	NOUN
cana-4452	64	10	respectively	respectively	ADV
cana-4452	64	11	,	,	PUNCT
cana-4452	64	12	the	the	DET
cana-4452	64	13	outcomes	outcome	NOUN
cana-4452	64	14	listed	list	VERB
cana-4452	64	15	below	below	ADV
cana-4452	64	16	are	be	AUX
cana-4452	64	17	acceptable	acceptable	ADJ
cana-4452	64	18	:	:	PUNCT
cana-4452	64	19	𝜗(𝜁	𝜗(𝜁	ADV
cana-4452	64	20	,	,	PUNCT
cana-4452	64	21	𝜄	𝜄	X
cana-4452	64	22	;	;	PUNCT
cana-4452	64	23	0	0	NUM
cana-4452	64	24	)	)	PUNCT
cana-4452	65	1	=	=	SYM
cana-4452	66	1	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	66	2	,	,	PUNCT
cana-4452	66	3	𝜄	𝜄	NOUN
cana-4452	66	4	)	)	PUNCT
cana-4452	66	5	,	,	PUNCT
cana-4452	66	6	𝜗	𝜗	PROPN
cana-4452	66	7	(	(	PUNCT
cana-4452	66	8	𝜁	𝜁	PROPN
cana-4452	66	9	,	,	PUNCT
cana-4452	66	10	𝜄	𝜄	X
cana-4452	66	11	;	;	PUNCT
cana-4452	66	12	1	1	NUM
cana-4452	66	13	𝔪	𝔪	NOUN
cana-4452	66	14	)	)	PUNCT
cana-4452	66	15	=	=	SYM
cana-4452	67	1	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	67	2	,	,	PUNCT
cana-4452	67	3	𝜄	𝜄	PROPN
cana-4452	67	4	)	)	PUNCT
cana-4452	67	5	.	.	PUNCT
cana-4452	68	1	(	(	PUNCT
cana-4452	68	2	9	9	X
cana-4452	68	3	)	)	PUNCT
cana-4452	68	4	by	by	ADP
cana-4452	68	5	expanding	expand	VERB
cana-4452	68	6	𝑞	𝑞	PRON
cana-4452	68	7	from	from	ADP
cana-4452	68	8	0	0	NUM
cana-4452	68	9	to	to	ADP
cana-4452	68	10	1	1	NUM
cana-4452	68	11	m	m	NOUN
cana-4452	68	12	,	,	PUNCT
cana-4452	68	13	the	the	DET
cana-4452	68	14	result	result	NOUN
cana-4452	68	15	𝜗(𝜁	𝜗(𝜁	PROPN
cana-4452	68	16	,	,	PUNCT
cana-4452	68	17	𝜄	𝜄	X
cana-4452	68	18	;	;	PUNCT
cana-4452	68	19	𝑞	𝑞	NOUN
cana-4452	68	20	)	)	PUNCT
cana-4452	68	21	converges	converge	NOUN
cana-4452	68	22	from	from	ADP
cana-4452	68	23	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	68	24	,	,	PUNCT
cana-4452	68	25	𝜄	𝜄	X
cana-4452	68	26	)	)	PUNCT
cana-4452	68	27	to	to	ADP
cana-4452	68	28	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	68	29	,	,	PUNCT
cana-4452	68	30	𝜄	𝜄	PROPN
cana-4452	68	31	)	)	PUNCT
cana-4452	68	32	.	.	PUNCT
cana-4452	69	1	taylor	taylor	PROPN
cana-4452	69	2	's	's	PART
cana-4452	69	3	theorem	theorem	NOUN
cana-4452	69	4	is	be	AUX
cana-4452	69	5	used	use	VERB
cana-4452	69	6	close	close	ADV
cana-4452	69	7	to	to	ADP
cana-4452	69	8	𝑞	𝑞	PRON
cana-4452	69	9	to	to	PART
cana-4452	69	10	enlarge	enlarge	VERB
cana-4452	69	11	the	the	DET
cana-4452	69	12	component	component	NOUN
cana-4452	69	13	of	of	ADP
cana-4452	69	14	the	the	DET
cana-4452	69	15	series	series	NOUN
cana-4452	69	16	structure	structure	NOUN
cana-4452	69	17	(	(	PUNCT
cana-4452	69	18	𝜁	𝜁	PROPN
cana-4452	69	19	,	,	PUNCT
cana-4452	69	20	𝜄	𝜄	X
cana-4452	69	21	;	;	PUNCT
cana-4452	69	22	𝑞	𝑞	X
cana-4452	69	23	)	)	PUNCT
cana-4452	69	24	:	:	PUNCT
cana-4452	70	1	𝜗(𝜁	𝜗(𝜁	ADV
cana-4452	70	2	,	,	PUNCT
cana-4452	70	3	𝜄	𝜄	X
cana-4452	70	4	;	;	PUNCT
cana-4452	70	5	𝑞	𝑞	X
cana-4452	70	6	)	)	PUNCT
cana-4452	70	7	=	=	SYM
cana-4452	70	8	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	70	9	,	,	PUNCT
cana-4452	70	10	𝜄	𝜄	PROPN
cana-4452	70	11	)	)	PUNCT
cana-4452	71	1	+	+	CCONJ
cana-4452	71	2	∑	∑	PUNCT
cana-4452	71	3	 	 	SPACE
cana-4452	71	4	∞	∞	PROPN
cana-4452	71	5	𝑟=1	𝑟=1	PROPN
cana-4452	71	6	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	71	7	,	,	PUNCT
cana-4452	71	8	𝜄)𝑞	𝜄)𝑞	NOUN
cana-4452	71	9	𝑟	𝑟	X
cana-4452	71	10	,	,	PUNCT
cana-4452	71	11	(	(	PUNCT
cana-4452	71	12	10	10	NUM
cana-4452	71	13	)	)	PUNCT
cana-4452	71	14	where	where	SCONJ
cana-4452	71	15	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	71	16	,	,	PUNCT
cana-4452	71	17	𝜄	𝜄	PROPN
cana-4452	71	18	)	)	PUNCT
cana-4452	71	19	=	=	SYM
cana-4452	71	20	1	1	NUM
cana-4452	71	21	𝑟	𝑟	NOUN
cana-4452	71	22	!	!	PUNCT
cana-4452	71	23	∂𝑟𝜗(𝜁,𝜄;𝑞	∂𝑟𝜗(𝜁,𝜄;𝑞	PUNCT
cana-4452	71	24	)	)	PUNCT
cana-4452	72	1	∂𝑞𝑟	∂𝑞𝑟	PROPN
cana-4452	72	2	|	|	ADV
cana-4452	72	3	𝑞=0	𝑞=0	PROPN
cana-4452	72	4	.	.	PUNCT
cana-4452	73	1	(	(	PUNCT
cana-4452	73	2	11	11	NUM
cana-4452	73	3	)	)	PUNCT
cana-4452	73	4	by	by	ADP
cana-4452	73	5	using	use	VERB
cana-4452	73	6	the	the	DET
cana-4452	73	7	basic	basic	ADJ
cana-4452	73	8	linear	linear	NOUN
cana-4452	73	9	operators	operator	NOUN
cana-4452	73	10	𝜚0(𝜁	𝜚0(𝜁	ADV
cana-4452	73	11	,	,	PUNCT
cana-4452	73	12	𝜄	𝜄	PROPN
cana-4452	73	13	)	)	PUNCT
cana-4452	73	14	,	,	PUNCT
cana-4452	73	15	𝔪	𝔪	NOUN
cana-4452	73	16	and	and	CCONJ
cana-4452	73	17	𝔥	𝔥	NOUN
cana-4452	73	18	,	,	PUNCT
cana-4452	73	19	we	we	PRON
cana-4452	73	20	could	could	AUX
cana-4452	73	21	find	find	VERB
cana-4452	73	22	one	one	NUM
cana-4452	73	23	of	of	ADP
cana-4452	73	24	the	the	DET
cana-4452	73	25	solutions	solution	NOUN
cana-4452	73	26	for	for	ADP
cana-4452	73	27	equation	equation	NOUN
cana-4452	73	28	(	(	PUNCT
cana-4452	73	29	4	4	NUM
cana-4452	73	30	)	)	PUNCT
cana-4452	73	31	.	.	PUNCT
cana-4452	74	1	at	at	ADP
cana-4452	74	2	=	=	SYM
cana-4452	74	3	1	1	NUM
cana-4452	74	4	m	m	NOUN
cana-4452	74	5	,	,	PUNCT
cana-4452	74	6	the	the	DET
cana-4452	74	7	series	series	NOUN
cana-4452	74	8	𝜗(𝜁	𝜗(𝜁	PROPN
cana-4452	74	9	,	,	PUNCT
cana-4452	74	10	𝜄	𝜄	X
cana-4452	74	11	;	;	PUNCT
cana-4452	74	12	𝑞	𝑞	NOUN
cana-4452	74	13	)	)	PUNCT
cana-4452	74	14	converges	converge	VERB
cana-4452	74	15	:	:	PUNCT
cana-4452	74	16	𝜚(𝜁	𝜚(𝜁	NOUN
cana-4452	74	17	,	,	PUNCT
cana-4452	74	18	𝜄	𝜄	PROPN
cana-4452	74	19	)	)	PUNCT
cana-4452	74	20	=	=	SYM
cana-4452	75	1	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	75	2	,	,	PUNCT
cana-4452	75	3	𝜄	𝜄	PROPN
cana-4452	75	4	)	)	PUNCT
cana-4452	76	1	+	+	CCONJ
cana-4452	76	2	∑	∑	PUNCT
cana-4452	76	3	 	 	SPACE
cana-4452	76	4	∞	∞	PROPN
cana-4452	76	5	𝑟=1	𝑟=1	PROPN
cana-4452	76	6	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	76	7	,	,	PUNCT
cana-4452	76	8	𝜄	𝜄	NOUN
cana-4452	76	9	)	)	PUNCT
cana-4452	76	10	(	(	PUNCT
cana-4452	76	11	1	1	NUM
cana-4452	76	12	m	m	NOUN
cana-4452	76	13	)	)	PUNCT
cana-4452	77	1	𝑟	𝑟	NOUN
cana-4452	77	2	.	.	PUNCT
cana-4452	78	1	(	(	PUNCT
cana-4452	78	2	12	12	NUM
cana-4452	78	3	)	)	PUNCT
cana-4452	78	4	by	by	ADP
cana-4452	78	5	dividing	divide	VERB
cana-4452	78	6	r	r	PROPN
cana-4452	78	7	!	!	PUNCT
cana-4452	78	8	,	,	PUNCT
cana-4452	78	9	computing	compute	VERB
cana-4452	78	10	for	for	ADP
cana-4452	78	11	q	q	NOUN
cana-4452	78	12	=	=	SYM
cana-4452	78	13	0	0	NUM
cana-4452	78	14	after	after	ADP
cana-4452	78	15	differentiating	differentiate	VERB
cana-4452	78	16	the	the	DET
cana-4452	78	17	zeroth	zeroth	ADJ
cana-4452	78	18	order	order	NOUN
cana-4452	78	19	deformation	deformation	NOUN
cana-4452	78	20	equation	equation	NOUN
cana-4452	78	21	r	r	NOUN
cana-4452	78	22	times	time	NOUN
cana-4452	78	23	with	with	ADP
cana-4452	78	24	respect	respect	NOUN
cana-4452	78	25	to	to	ADP
cana-4452	78	26	q	q	PROPN
cana-4452	78	27	ℒ[𝜚𝑟(𝜁	ℒ[𝜚𝑟(𝜁	PROPN
cana-4452	78	28	,	,	PUNCT
cana-4452	78	29	𝜄	𝜄	NOUN
cana-4452	78	30	)	)	PUNCT
cana-4452	79	1	−	−	PROPN
cana-4452	79	2	𝑘𝑟𝜚𝑟−1(𝜁	𝑘𝑟𝜚𝑟−1(𝜁	NOUN
cana-4452	79	3	,	,	PUNCT
cana-4452	79	4	𝜄	𝜄	PROPN
cana-4452	79	5	)	)	PUNCT
cana-4452	79	6	]	]	PUNCT
cana-4452	79	7	=	=	PUNCT
cana-4452	79	8	𝔥ℜ𝑟(	𝔥ℜ𝑟(	PROPN
cana-4452	79	9	�	�	PROPN
cana-4452	79	10	⃗	⃗	NOUN
cana-4452	79	11	�	�	PROPN
cana-4452	79	12	𝑟−1	𝑟−1	PROPN
cana-4452	79	13	)	)	PUNCT
cana-4452	79	14	,	,	PUNCT
cana-4452	79	15	(	(	PUNCT
cana-4452	79	16	13	13	NUM
cana-4452	79	17	)	)	PUNCT
cana-4452	79	18	where	where	SCONJ
cana-4452	79	19	𝜚𝑟	𝜚𝑟	NOUN
cana-4452	79	20	=	=	PUNCT
cana-4452	80	1	[	[	X
cana-4452	80	2	𝜚0(𝜁	𝜚0(𝜁	NOUN
cana-4452	80	3	,	,	PUNCT
cana-4452	80	4	𝜄	𝜄	NOUN
cana-4452	80	5	)	)	PUNCT
cana-4452	80	6	,	,	PUNCT
cana-4452	80	7	𝜚1(𝜁	𝜚1(𝜁	PROPN
cana-4452	80	8	,	,	PUNCT
cana-4452	80	9	𝜄),⋯	𝜄),⋯	PROPN
cana-4452	80	10	𝜚𝑟(𝜁	𝜚𝑟(𝜁	PROPN
cana-4452	80	11	,	,	PUNCT
cana-4452	80	12	𝜄	𝜄	PROPN
cana-4452	80	13	)	)	PUNCT
cana-4452	80	14	]	]	PUNCT
cana-4452	80	15	.	.	PUNCT
cana-4452	81	1	(	(	PUNCT
cana-4452	81	2	14	14	NUM
cana-4452	81	3	)	)	PUNCT
cana-4452	81	4	eq	eq	NOUN
cana-4452	81	5	.	.	PUNCT
cana-4452	82	1	(	(	PUNCT
cana-4452	82	2	15	15	NUM
cana-4452	82	3	)	)	PUNCT
cana-4452	82	4	,	,	PUNCT
cana-4452	82	5	is	be	AUX
cana-4452	82	6	reduced	reduce	VERB
cana-4452	82	7	by	by	ADP
cana-4452	82	8	using	use	VERB
cana-4452	82	9	inverse	inverse	NOUN
cana-4452	82	10	lt	lt	PROPN
cana-4452	82	11	,	,	PUNCT
cana-4452	82	12	communications	communication	NOUN
cana-4452	82	13	on	on	ADP
cana-4452	82	14	applied	apply	VERB
cana-4452	82	15	nonlinear	nonlinear	ADJ
cana-4452	82	16	analysis	analysis	NOUN
cana-4452	82	17	issn	issn	NOUN
cana-4452	82	18	:	:	PUNCT
cana-4452	82	19	1074	1074	NUM
cana-4452	82	20	-	-	PUNCT
cana-4452	82	21	133x	133x	NUM
cana-4452	82	22	vol	vol	NOUN
cana-4452	82	23	32	32	NUM
cana-4452	82	24	no	no	NOUN
cana-4452	82	25	.	.	PUNCT
cana-4452	83	1	9s	9s	NUM
cana-4452	83	2	(	(	PUNCT
cana-4452	83	3	2025	2025	NUM
cana-4452	83	4	)	)	PUNCT
cana-4452	83	5	2117	2117	NUM
cana-4452	83	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	83	7	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	83	8	,	,	PUNCT
cana-4452	83	9	𝜄	𝜄	NOUN
cana-4452	83	10	)	)	PUNCT
cana-4452	83	11	=	=	SYM
cana-4452	83	12	𝑘𝑟𝜚𝑟−1(𝜁	𝑘𝑟𝜚𝑟−1(𝜁	NOUN
cana-4452	83	13	,	,	PUNCT
cana-4452	83	14	𝜄	𝜄	PROPN
cana-4452	83	15	)	)	PUNCT
cana-4452	83	16	+	+	CCONJ
cana-4452	84	1	𝔥ℒ	𝔥ℒ	ADJ
cana-4452	84	2	−1	−1	NOUN
cana-4452	84	3	[	[	X
cana-4452	84	4	ℜ𝑟	ℜ𝑟	PROPN
cana-4452	84	5	(	(	PUNCT
cana-4452	84	6	𝜚𝑟−1	𝜚𝑟−1	PROPN
cana-4452	84	7	)	)	PUNCT
cana-4452	84	8	]	]	PUNCT
cana-4452	84	9	,	,	PUNCT
cana-4452	84	10	(	(	PUNCT
cana-4452	84	11	15	15	NUM
cana-4452	84	12	)	)	PUNCT
cana-4452	84	13	where	where	SCONJ
cana-4452	84	14	the	the	DET
cana-4452	84	15	vectors	vector	NOUN
cana-4452	84	16	are	be	AUX
cana-4452	84	17	determined	determine	VERB
cana-4452	84	18	as	as	ADP
cana-4452	84	19	ℜ𝑟(𝜚𝑟−1	ℜ𝑟(𝜚𝑟−1	ADJ
cana-4452	84	20	)	)	PUNCT
cana-4452	84	21	=	=	SYM
cana-4452	84	22	ℒ[𝜚𝑟−1(𝜁	ℒ[𝜚𝑟−1(𝜁	NOUN
cana-4452	84	23	,	,	PUNCT
cana-4452	84	24	𝜄	𝜄	PROPN
cana-4452	84	25	)	)	PUNCT
cana-4452	84	26	]	]	PUNCT
cana-4452	85	1	−	−	PROPN
cana-4452	85	2	(	(	PUNCT
cana-4452	85	3	1	1	NUM
cana-4452	85	4	−	−	NOUN
cana-4452	85	5	𝑘𝑟	𝑘𝑟	NOUN
cana-4452	85	6	𝔪	𝔪	NOUN
cana-4452	85	7	)	)	PUNCT
cana-4452	85	8	(	(	PUNCT
cana-4452	85	9	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	85	10	,	,	PUNCT
cana-4452	85	11	0	0	NUM
cana-4452	85	12	)	)	PUNCT
cana-4452	85	13	𝑠	𝑠	PROPN
cana-4452	86	1	+	+	CCONJ
cana-4452	86	2	(	(	PUNCT
cana-4452	86	3	1	1	NUM
cana-4452	86	4	−	−	NOUN
cana-4452	86	5	℘	℘	NOUN
cana-4452	86	6	+	+	CCONJ
cana-4452	86	7	℘	℘	NOUN
cana-4452	86	8	𝑠℘	𝑠℘	NUM
cana-4452	86	9	)	)	PUNCT
cana-4452	87	1	𝒦(℘	𝒦(℘	NOUN
cana-4452	87	2	)	)	PUNCT
cana-4452	87	3	ℒ[𝔤(𝜁	ℒ[𝔤(𝜁	PROPN
cana-4452	87	4	,	,	PUNCT
cana-4452	87	5	𝜄	𝜄	PROPN
cana-4452	87	6	)	)	PUNCT
cana-4452	87	7	]	]	PUNCT
cana-4452	87	8	)	)	PUNCT
cana-4452	88	1	+	+	CCONJ
cana-4452	88	2	(	(	PUNCT
cana-4452	88	3	1	1	NUM
cana-4452	88	4	−	−	NOUN
cana-4452	88	5	℘	℘	PROPN
cana-4452	88	6	+	+	CCONJ
cana-4452	88	7	𝜑	𝜑	PROPN
cana-4452	88	8	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	88	9	)	)	PUNCT
cana-4452	88	10	𝒦(℘	𝒦(℘	PROPN
cana-4452	88	11	)	)	PUNCT
cana-4452	88	12	ℒ[ℛ𝜚𝑟−1(𝜁	ℒ[ℛ𝜚𝑟−1(𝜁	PROPN
cana-4452	88	13	,	,	PUNCT
cana-4452	88	14	𝜄	𝜄	NOUN
cana-4452	88	15	)	)	PUNCT
cana-4452	88	16	+	+	NOUN
cana-4452	88	17	ℋ𝑟−1	ℋ𝑟−1	PROPN
cana-4452	88	18	]	]	PUNCT
cana-4452	88	19	,	,	PUNCT
cana-4452	88	20	(	(	PUNCT
cana-4452	88	21	16	16	NUM
cana-4452	88	22	)	)	PUNCT
cana-4452	88	23	and	and	CCONJ
cana-4452	88	24	𝑘𝑟	𝑘𝑟	ADV
cana-4452	88	25	=	=	PUNCT
cana-4452	88	26	{	{	PUNCT
cana-4452	88	27	0	0	NUM
cana-4452	88	28	if	if	SCONJ
cana-4452	88	29	𝑟	𝑟	NOUN
cana-4452	88	30	≤	≤	NUM
cana-4452	88	31	1	1	NUM
cana-4452	88	32	m	m	NOUN
cana-4452	88	33	if	if	SCONJ
cana-4452	88	34	𝑟	𝑟	PRON
cana-4452	88	35	>	>	X
cana-4452	88	36	1	1	NUM
cana-4452	88	37	,	,	PUNCT
cana-4452	88	38	ℋ𝑟	ℋ𝑟	NOUN
cana-4452	88	39	=	=	SYM
cana-4452	88	40	1	1	NUM
cana-4452	88	41	𝑟	𝑟	NOUN
cana-4452	88	42	!	!	PUNCT
cana-4452	89	1	[	[	PUNCT
cana-4452	89	2	∂𝑟𝜗(𝜁	∂𝑟𝜗(𝜁	PROPN
cana-4452	89	3	,	,	PUNCT
cana-4452	89	4	𝜄	𝜄	X
cana-4452	89	5	;	;	PUNCT
cana-4452	89	6	𝑞	𝑞	X
cana-4452	89	7	)	)	PUNCT
cana-4452	89	8	∂𝑞𝑟	∂𝑞𝑟	PROPN
cana-4452	89	9	]	]	PUNCT
cana-4452	89	10	𝑞=0	𝑞=0	PROPN
cana-4452	89	11	,	,	PUNCT
cana-4452	89	12	and	and	CCONJ
cana-4452	89	13	𝜗(𝜁	𝜗(𝜁	PROPN
cana-4452	89	14	,	,	PUNCT
cana-4452	89	15	𝜄	𝜄	X
cana-4452	89	16	;	;	PUNCT
cana-4452	89	17	𝑞	𝑞	X
cana-4452	89	18	)	)	PUNCT
cana-4452	89	19	=	=	NOUN
cana-4452	90	1	𝜗0	𝜗0	NOUN
cana-4452	90	2	+	+	CCONJ
cana-4452	90	3	𝑞𝜗1	𝑞𝜗1	PROPN
cana-4452	90	4	+	+	CCONJ
cana-4452	90	5	𝑞	𝑞	X
cana-4452	90	6	2𝜗2	2𝜗2	NUM
cana-4452	91	1	+	+	ADJ
cana-4452	91	2	⋯	⋯	PROPN
cana-4452	91	3	,	,	PUNCT
cana-4452	91	4	we	we	PRON
cana-4452	91	5	have	have	VERB
cana-4452	91	6	,	,	PUNCT
cana-4452	91	7	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	91	8	,	,	PUNCT
cana-4452	91	9	𝜄	𝜄	PROPN
cana-4452	91	10	)	)	PUNCT
cana-4452	91	11	=	=	SYM
cana-4452	92	1	(	(	PUNCT
cana-4452	92	2	𝑘𝑟	𝑘𝑟	INTJ
cana-4452	92	3	+	+	NUM
cana-4452	92	4	𝔥)𝜚𝑟−1(𝜁	𝔥)𝜚𝑟−1(𝜁	PROPN
cana-4452	92	5	,	,	PUNCT
cana-4452	92	6	𝜄	𝜄	NOUN
cana-4452	92	7	)	)	PUNCT
cana-4452	92	8	−	−	PROPN
cana-4452	93	1	(	(	PUNCT
cana-4452	93	2	1	1	NUM
cana-4452	93	3	−	−	NOUN
cana-4452	93	4	𝑘𝑟	𝑘𝑟	NOUN
cana-4452	93	5	m	m	PROPN
cana-4452	93	6	)	)	PUNCT
cana-4452	94	1	ℒ−1	ℒ−1	PROPN
cana-4452	94	2	(	(	PUNCT
cana-4452	94	3	∑	∑	INTJ
cana-4452	94	4	  	  	SPACE
cana-4452	94	5	𝑛−1	𝑛−1	PROPN
cana-4452	94	6	𝑘=0	𝑘=0	PROPN
cana-4452	94	7	 	 	SPACE
cana-4452	94	8	𝑠𝜌−𝑘−1𝜚(𝑘)(𝜁	𝑠𝜌−𝑘−1𝜚(𝑘)(𝜁	PROPN
cana-4452	94	9	,	,	PUNCT
cana-4452	94	10	0	0	NUM
cana-4452	94	11	)	)	PUNCT
cana-4452	95	1	+	+	CCONJ
cana-4452	95	2	1	1	NUM
cana-4452	95	3	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	95	4	ℒ[𝔤(𝜁	ℒ[𝔤(𝜁	PROPN
cana-4452	95	5	,	,	PUNCT
cana-4452	95	6	𝜄	𝜄	PROPN
cana-4452	95	7	)	)	PUNCT
cana-4452	95	8	]	]	PUNCT
cana-4452	95	9	)	)	PUNCT
cana-4452	96	1	+	+	VERB
cana-4452	96	2	𝔥ℒ−1	𝔥ℒ−1	VERB
cana-4452	96	3	1	1	NUM
cana-4452	96	4	𝑠𝜌	𝑠𝜌	NOUN
cana-4452	96	5	(	(	PUNCT
cana-4452	96	6	ℒ[ℛ𝜚𝑟−1(𝜁	ℒ[ℛ𝜚𝑟−1(𝜁	PROPN
cana-4452	96	7	,	,	PUNCT
cana-4452	96	8	𝜄	𝜄	PROPN
cana-4452	96	9	)	)	PUNCT
cana-4452	96	10	]	]	PUNCT
cana-4452	97	1	+	+	NOUN
cana-4452	97	2	ℋ𝑟−1	ℋ𝑟−1	NOUN
cana-4452	97	3	)	)	PUNCT
cana-4452	97	4	.	.	PUNCT
cana-4452	98	1	(	(	PUNCT
cana-4452	98	2	17	17	NUM
cana-4452	98	3	)	)	PUNCT
cana-4452	98	4	therefore	therefore	ADV
cana-4452	98	5	,	,	PUNCT
cana-4452	98	6	by	by	ADP
cana-4452	98	7	resolving	resolve	VERB
cana-4452	98	8	the	the	DET
cana-4452	98	9	above	above	NOUN
cana-4452	98	10	,	,	PUNCT
cana-4452	98	11	we	we	PRON
cana-4452	98	12	may	may	AUX
cana-4452	98	13	derive	derive	VERB
cana-4452	98	14	the	the	DET
cana-4452	98	15	iterative	iterative	ADJ
cana-4452	98	16	term	term	NOUN
cana-4452	98	17	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	98	18	,	,	PUNCT
cana-4452	98	19	𝑡	𝑡	PROPN
cana-4452	98	20	)	)	PUNCT
cana-4452	98	21	.	.	PUNCT
cana-4452	99	1	the	the	DET
cana-4452	99	2	series	series	NOUN
cana-4452	99	3	solution	solution	NOUN
cana-4452	99	4	of	of	ADP
cana-4452	99	5	the	the	DET
cana-4452	99	6	𝑞	𝑞	PROPN
cana-4452	99	7	hatm	hatm	PROPN
cana-4452	99	8	method	method	NOUN
cana-4452	99	9	is	be	AUX
cana-4452	99	10	denoted	denote	VERB
cana-4452	99	11	by	by	ADP
cana-4452	99	12	𝜚(𝜁	𝜚(𝜁	PROPN
cana-4452	99	13	,	,	PUNCT
cana-4452	99	14	𝜄	𝜄	PROPN
cana-4452	99	15	)	)	PUNCT
cana-4452	100	1	=	=	SYM
cana-4452	100	2	𝜚0(𝜁	𝜚0(𝜁	PROPN
cana-4452	100	3	,	,	PUNCT
cana-4452	100	4	𝜄	𝜄	PROPN
cana-4452	100	5	)	)	PUNCT
cana-4452	101	1	+	+	CCONJ
cana-4452	101	2	∑	∑	PUNCT
cana-4452	101	3	 	 	SPACE
cana-4452	101	4	∞	∞	PROPN
cana-4452	101	5	𝑟=1	𝑟=1	PROPN
cana-4452	101	6	𝜚𝑟(𝜁	𝜚𝑟(𝜁	NOUN
cana-4452	101	7	,	,	PUNCT
cana-4452	101	8	𝜄	𝜄	NOUN
cana-4452	101	9	)	)	PUNCT
cana-4452	101	10	(	(	PUNCT
cana-4452	101	11	1	1	NUM
cana-4452	101	12	𝑚	𝑚	NOUN
cana-4452	101	13	)	)	PUNCT
cana-4452	101	14	𝑟	𝑟	NOUN
cana-4452	101	15	.	.	PUNCT
cana-4452	102	1	(	(	PUNCT
cana-4452	102	2	18	18	NUM
cana-4452	102	3	)	)	SYM
cana-4452	102	4	2	2	NUM
cana-4452	102	5	.	.	PUNCT
cana-4452	102	6	mathematical	mathematical	ADJ
cana-4452	102	7	formulation	formulation	NOUN
cana-4452	102	8	the	the	DET
cana-4452	102	9	main	main	ADJ
cana-4452	102	10	tenet	tenet	NOUN
cana-4452	102	11	of	of	ADP
cana-4452	102	12	this	this	DET
cana-4452	102	13	investigation	investigation	NOUN
cana-4452	102	14	is	be	AUX
cana-4452	102	15	the	the	DET
cana-4452	102	16	notion	notion	NOUN
cana-4452	102	17	of	of	ADP
cana-4452	102	18	fractional	fractional	ADJ
cana-4452	102	19	calculus	calculus	NOUN
cana-4452	102	20	generalization	generalization	NOUN
cana-4452	102	21	.	.	PUNCT
cana-4452	103	1	we	we	PRON
cana-4452	103	2	believe	believe	VERB
cana-4452	103	3	that	that	SCONJ
cana-4452	103	4	mathematical	mathematical	ADJ
cana-4452	103	5	modelling	modelling	NOUN
cana-4452	103	6	is	be	AUX
cana-4452	103	7	a	a	DET
cana-4452	103	8	very	very	ADV
cana-4452	103	9	important	important	ADJ
cana-4452	103	10	component	component	NOUN
cana-4452	103	11	in	in	ADP
cana-4452	103	12	understanding	understand	VERB
cana-4452	103	13	the	the	DET
cana-4452	103	14	illness	illness	NOUN
cana-4452	103	15	and	and	CCONJ
cana-4452	103	16	its	its	PRON
cana-4452	103	17	transmission	transmission	NOUN
cana-4452	103	18	.	.	PUNCT
cana-4452	104	1	to	to	PART
cana-4452	104	2	sustain	sustain	VERB
cana-4452	104	3	the	the	DET
cana-4452	104	4	amounts	amount	NOUN
cana-4452	104	5	of	of	ADP
cana-4452	104	6	data	datum	NOUN
cana-4452	104	7	produced	produce	VERB
cana-4452	104	8	on	on	ADP
cana-4452	104	9	host	host	NOUN
cana-4452	104	10	pathogen	pathogen	NOUN
cana-4452	104	11	communication	communication	NOUN
cana-4452	104	12	,	,	PUNCT
cana-4452	104	13	several	several	ADJ
cana-4452	104	14	types	type	NOUN
cana-4452	104	15	of	of	ADP
cana-4452	104	16	models	model	NOUN
cana-4452	104	17	must	must	AUX
cana-4452	104	18	be	be	AUX
cana-4452	104	19	integrated	integrate	VERB
cana-4452	104	20	.	.	PUNCT
cana-4452	105	1	there	there	PRON
cana-4452	105	2	are	be	VERB
cana-4452	105	3	several	several	ADJ
cana-4452	105	4	models	model	NOUN
cana-4452	105	5	that	that	PRON
cana-4452	105	6	may	may	AUX
cana-4452	105	7	be	be	AUX
cana-4452	105	8	used	use	VERB
cana-4452	105	9	to	to	PART
cana-4452	105	10	study	study	VERB
cana-4452	105	11	the	the	DET
cana-4452	105	12	transmission	transmission	NOUN
cana-4452	105	13	of	of	ADP
cana-4452	105	14	a	a	DET
cana-4452	105	15	disease	disease	NOUN
cana-4452	105	16	,	,	PUNCT
cana-4452	105	17	however	however	ADV
cana-4452	105	18	some	some	DET
cana-4452	105	19	techniques	technique	NOUN
cana-4452	105	20	provide	provide	VERB
cana-4452	105	21	more	more	ADV
cana-4452	105	22	precise	precise	ADJ
cana-4452	105	23	and	and	CCONJ
cana-4452	105	24	consistent	consistent	ADJ
cana-4452	105	25	results	result	NOUN
cana-4452	105	26	than	than	ADP
cana-4452	105	27	others	other	NOUN
cana-4452	105	28	.	.	PUNCT
cana-4452	106	1	to	to	PART
cana-4452	106	2	capture	capture	VERB
cana-4452	106	3	the	the	DET
cana-4452	106	4	ideal	ideal	ADJ
cana-4452	106	5	treatment	treatment	NOUN
cana-4452	106	6	for	for	ADP
cana-4452	106	7	the	the	DET
cana-4452	106	8	disease	disease	NOUN
cana-4452	106	9	,	,	PUNCT
cana-4452	106	10	the	the	DET
cana-4452	106	11	system	system	NOUN
cana-4452	106	12	of	of	ADP
cana-4452	106	13	nonlinear	nonlinear	ADJ
cana-4452	106	14	equations	equation	NOUN
cana-4452	106	15	in	in	ADP
cana-4452	106	16	this	this	DET
cana-4452	106	17	work	work	NOUN
cana-4452	106	18	is	be	AUX
cana-4452	106	19	using	use	VERB
cana-4452	106	20	the	the	DET
cana-4452	106	21	stability	stability	NOUN
cana-4452	106	22	analysis	analysis	NOUN
cana-4452	106	23	and	and	CCONJ
cana-4452	106	24	q	q	NOUN
cana-4452	106	25	−	−	PROPN
cana-4452	106	26	hatm	hatm	ADJ
cana-4452	106	27	technique	technique	NOUN
cana-4452	106	28	.	.	PUNCT
cana-4452	107	1	in	in	ADP
cana-4452	107	2	the	the	DET
cana-4452	107	3	current	current	ADJ
cana-4452	107	4	work	work	NOUN
cana-4452	107	5	,	,	PUNCT
cana-4452	107	6	we	we	PRON
cana-4452	107	7	used	use	VERB
cana-4452	107	8	the	the	DET
cana-4452	107	9	epidemiology	epidemiology	NOUN
cana-4452	107	10	model	model	NOUN
cana-4452	107	11	created	create	VERB
cana-4452	107	12	by	by	ADP
cana-4452	107	13	sultana	sultana	NOUN
cana-4452	107	14	and	and	CCONJ
cana-4452	107	15	n.	n.	NOUN
cana-4452	107	16	podder	podder	NOUN
cana-4452	107	17	to	to	PART
cana-4452	107	18	observe	observe	VERB
cana-4452	107	19	the	the	DET
cana-4452	107	20	spread	spread	NOUN
cana-4452	107	21	of	of	ADP
cana-4452	107	22	a	a	DET
cana-4452	107	23	virus	virus	NOUN
cana-4452	107	24	and	and	CCONJ
cana-4452	107	25	to	to	PART
cana-4452	107	26	gather	gather	VERB
cana-4452	107	27	data	datum	NOUN
cana-4452	107	28	for	for	ADP
cana-4452	107	29	the	the	DET
cana-4452	107	30	epidemic	epidemic	NOUN
cana-4452	107	31	model	model	NOUN
cana-4452	107	32	under	under	ADP
cana-4452	107	33	consideration	consideration	NOUN
cana-4452	107	34	.	.	PUNCT
cana-4452	108	1	the	the	DET
cana-4452	108	2	total	total	ADJ
cana-4452	108	3	population	population	NOUN
cana-4452	108	4	n	n	CCONJ
cana-4452	108	5	(	(	PUNCT
cana-4452	108	6	ι	ι	X
cana-4452	108	7	)	)	PUNCT
cana-4452	108	8	is	be	AUX
cana-4452	108	9	divided	divide	VERB
cana-4452	108	10	into	into	ADP
cana-4452	108	11	three	three	NUM
cana-4452	108	12	mutually	mutually	ADV
cana-4452	108	13	disjoint	disjoint	ADJ
cana-4452	108	14	compartments	compartment	NOUN
cana-4452	108	15	,	,	PUNCT
cana-4452	108	16	namely	namely	ADV
cana-4452	108	17	susceptible	susceptible	ADJ
cana-4452	108	18	s(ι	s(ι	NOUN
cana-4452	108	19	)	)	PUNCT
cana-4452	108	20	,	,	PUNCT
cana-4452	108	21	infected	infect	VERB
cana-4452	108	22	i(ι	i(ι	PROPN
cana-4452	108	23	)	)	PUNCT
cana-4452	108	24	and	and	CCONJ
cana-4452	108	25	recovered	recover	VERB
cana-4452	108	26	r(ι	r(ι	PROPN
cana-4452	108	27	)	)	PUNCT
cana-4452	108	28	such	such	ADJ
cana-4452	108	29	that	that	SCONJ
cana-4452	108	30	n	n	PROPN
cana-4452	108	31	(	(	PUNCT
cana-4452	108	32	ι	ι	X
cana-4452	108	33	)	)	PUNCT
cana-4452	108	34	=	=	SYM
cana-4452	108	35	s(ι)+i(ι)+r(ι	s(ι)+i(ι)+r(ι	PROPN
cana-4452	108	36	)	)	PUNCT
cana-4452	108	37	.	.	PUNCT
cana-4452	109	1	to	to	PART
cana-4452	109	2	explain	explain	VERB
cana-4452	109	3	the	the	DET
cana-4452	109	4	fluctuation	fluctuation	NOUN
cana-4452	109	5	of	of	ADP
cana-4452	109	6	niv	niv	ADJ
cana-4452	109	7	infections	infection	NOUN
cana-4452	109	8	in	in	ADP
cana-4452	109	9	the	the	DET
cana-4452	109	10	community	community	NOUN
cana-4452	109	11	,	,	PUNCT
cana-4452	109	12	we	we	PRON
cana-4452	109	13	take	take	VERB
cana-4452	109	14	into	into	ADP
cana-4452	109	15	account	account	NOUN
cana-4452	109	16	the	the	DET
cana-4452	109	17	framework	framework	NOUN
cana-4452	109	18	of	of	ADP
cana-4452	109	19	non	non	ADJ
cana-4452	109	20	-	-	ADJ
cana-4452	109	21	linear	linear	ADJ
cana-4452	109	22	differential	differential	ADJ
cana-4452	109	23	equations	equation	NOUN
cana-4452	109	24	given	give	VERB
cana-4452	109	25	below	below	ADP
cana-4452	109	26	,	,	PUNCT
cana-4452	109	27	which	which	PRON
cana-4452	109	28	is	be	AUX
cana-4452	109	29	a	a	DET
cana-4452	109	30	form	form	NOUN
cana-4452	109	31	of	of	ADP
cana-4452	109	32	typical	typical	ADJ
cana-4452	109	33	sir	sir	NOUN
cana-4452	109	34	disease	disease	NOUN
cana-4452	109	35	model	model	NOUN
cana-4452	109	36	[	[	X
cana-4452	109	37	24	24	NUM
cana-4452	109	38	]	]	PUNCT
cana-4452	109	39	.	.	PUNCT
cana-4452	110	1	communications	communication	NOUN
cana-4452	110	2	on	on	ADP
cana-4452	110	3	applied	apply	VERB
cana-4452	110	4	nonlinear	nonlinear	ADJ
cana-4452	110	5	analysis	analysis	NOUN
cana-4452	110	6	issn	issn	NOUN
cana-4452	110	7	:	:	PUNCT
cana-4452	110	8	1074	1074	NUM
cana-4452	110	9	-	-	PUNCT
cana-4452	110	10	133x	133x	NUM
cana-4452	110	11	vol	vol	NOUN
cana-4452	110	12	32	32	NUM
cana-4452	110	13	no	no	NOUN
cana-4452	110	14	.	.	PUNCT
cana-4452	111	1	9s	9s	NUM
cana-4452	111	2	(	(	PUNCT
cana-4452	111	3	2025	2025	NUM
cana-4452	111	4	)	)	PUNCT
cana-4452	111	5	2118	2118	NUM
cana-4452	111	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	111	7	𝑑𝒮	𝑑𝒮	ADV
cana-4452	111	8	𝑑𝜄	𝑑𝜄	ADP
cana-4452	111	9	=	=	SYM
cana-4452	111	10	𝜃𝒩(𝜄	𝜃𝒩(𝜄	PROPN
cana-4452	111	11	)	)	PUNCT
cana-4452	111	12	−	−	ADP
cana-4452	111	13	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	111	14	)	)	PUNCT
cana-4452	111	15	−	−	PROPN
cana-4452	111	16	𝜏𝒮(𝜄	𝜏𝒮(𝜄	NUM
cana-4452	111	17	)	)	PUNCT
cana-4452	111	18	,	,	PUNCT
cana-4452	111	19	𝑑ℐ	𝑑ℐ	VERB
cana-4452	111	20	𝑑𝜄	𝑑𝜄	NOUN
cana-4452	111	21	=	=	PUNCT
cana-4452	111	22	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	111	23	)	)	PUNCT
cana-4452	111	24	−	−	PROPN
cana-4452	112	1	(	(	PUNCT
cana-4452	112	2	𝜓	𝜓	PROPN
cana-4452	112	3	+	+	CCONJ
cana-4452	112	4	𝜏	𝜏	X
cana-4452	112	5	+	+	NUM
cana-4452	112	6	𝛿)ℐ(𝜄	𝛿)ℐ(𝜄	NOUN
cana-4452	112	7	)	)	PUNCT
cana-4452	112	8	,	,	PUNCT
cana-4452	112	9	𝑑ℛ	𝑑ℛ	NOUN
cana-4452	112	10	𝑑𝜄	𝑑𝜄	ADP
cana-4452	112	11	=	=	SYM
cana-4452	112	12	𝜓ℐ(𝜄	𝜓ℐ(𝜄	PROPN
cana-4452	112	13	)	)	PUNCT
cana-4452	112	14	−	−	PROPN
cana-4452	112	15	𝜏ℛ(𝜄	𝜏ℛ(𝜄	PROPN
cana-4452	112	16	)	)	PUNCT
cana-4452	112	17	,	,	PUNCT
cana-4452	112	18	𝑑𝒩	𝑑𝒩	NOUN
cana-4452	112	19	𝑑𝜄	𝑑𝜄	NOUN
cana-4452	112	20	=	=	SYM
cana-4452	112	21	𝜃𝒩(𝜄	𝜃𝒩(𝜄	PROPN
cana-4452	112	22	)	)	PUNCT
cana-4452	112	23	−	−	PROPN
cana-4452	112	24	𝛿ℐ(𝜄	𝛿ℐ(𝜄	NUM
cana-4452	112	25	)	)	PUNCT
cana-4452	112	26	−	−	PROPN
cana-4452	112	27	𝜏𝒩(𝜄	𝜏𝒩(𝜄	NOUN
cana-4452	112	28	)	)	PUNCT
cana-4452	112	29	,	,	PUNCT
cana-4452	112	30	(	(	PUNCT
cana-4452	112	31	19	19	NUM
cana-4452	112	32	)	)	PUNCT
cana-4452	112	33	where	where	SCONJ
cana-4452	112	34	the	the	DET
cana-4452	112	35	parameter	parameter	NOUN
cana-4452	112	36	β	β	PROPN
cana-4452	112	37	is	be	AUX
cana-4452	112	38	the	the	DET
cana-4452	112	39	effective	effective	ADJ
cana-4452	112	40	contact	contact	NOUN
cana-4452	112	41	rate	rate	NOUN
cana-4452	112	42	,	,	PUNCT
cana-4452	112	43	θ	θ	PROPN
cana-4452	112	44	is	be	AUX
cana-4452	112	45	the	the	DET
cana-4452	112	46	natural	natural	ADJ
cana-4452	112	47	birth	birth	NOUN
cana-4452	112	48	rate	rate	NOUN
cana-4452	112	49	and	and	CCONJ
cana-4452	112	50	τ	τ	PROPN
cana-4452	112	51	is	be	AUX
cana-4452	112	52	the	the	DET
cana-4452	112	53	natural	natural	ADJ
cana-4452	112	54	mortality	mortality	NOUN
cana-4452	112	55	rate	rate	NOUN
cana-4452	112	56	,	,	PUNCT
cana-4452	112	57	ψ	ψ	X
cana-4452	112	58	is	be	AUX
cana-4452	112	59	the	the	DET
cana-4452	112	60	recovery	recovery	NOUN
cana-4452	112	61	rate	rate	NOUN
cana-4452	112	62	.	.	PUNCT
cana-4452	113	1	δ	δ	PROPN
cana-4452	113	2	is	be	AUX
cana-4452	113	3	represent	represent	VERB
cana-4452	113	4	the	the	DET
cana-4452	113	5	disease	disease	NOUN
cana-4452	113	6	induced	induce	VERB
cana-4452	113	7	death	death	NOUN
cana-4452	113	8	rate	rate	NOUN
cana-4452	113	9	.	.	PUNCT
cana-4452	114	1	the	the	DET
cana-4452	114	2	associated	associated	ADJ
cana-4452	114	3	values	value	NOUN
cana-4452	114	4	of	of	ADP
cana-4452	114	5	the	the	DET
cana-4452	114	6	parametric	parametric	ADJ
cana-4452	114	7	quantity	quantity	NOUN
cana-4452	114	8	are	be	AUX
cana-4452	114	9	β	β	X
cana-4452	114	10	=	=	NOUN
cana-4452	114	11	0.75	0.75	NUM
cana-4452	114	12	,	,	PUNCT
cana-4452	114	13	δ	δ	X
cana-4452	114	14	=	=	NOUN
cana-4452	114	15	0.01	0.01	NUM
cana-4452	114	16	,	,	PUNCT
cana-4452	114	17	τ	τ	PROPN
cana-4452	114	18	=	=	SYM
cana-4452	114	19	0.002	0.002	NUM
cana-4452	114	20	,	,	PUNCT
cana-4452	114	21	ψ	ψ	X
cana-4452	114	22	=	=	NOUN
cana-4452	114	23	0.005	0.005	NUM
cana-4452	114	24	,	,	PUNCT
cana-4452	114	25	θ	θ	X
cana-4452	114	26	=	=	SYM
cana-4452	114	27	0.03	0.03	NUM
cana-4452	114	28	and	and	CCONJ
cana-4452	114	29	the	the	DET
cana-4452	114	30	initial	initial	ADJ
cana-4452	114	31	values	value	NOUN
cana-4452	114	32	are	be	AUX
cana-4452	114	33	s(0	s(0	PROPN
cana-4452	114	34	)	)	PUNCT
cana-4452	114	35	=	=	NOUN
cana-4452	114	36	0.90	0.90	NUM
cana-4452	114	37	,	,	PUNCT
cana-4452	114	38	i(0	i(0	PROPN
cana-4452	114	39	)	)	PUNCT
cana-4452	115	1	=	=	NOUN
cana-4452	115	2	0.05	0.05	NUM
cana-4452	115	3	,	,	PUNCT
cana-4452	115	4	r(0	r(0	PROPN
cana-4452	115	5	)	)	PUNCT
cana-4452	115	6	=	=	NOUN
cana-4452	115	7	0.05	0.05	NUM
cana-4452	115	8	.	.	PUNCT
cana-4452	116	1	using	use	VERB
cana-4452	116	2	the	the	DET
cana-4452	116	3	above	above	ADJ
cana-4452	116	4	assumptions	assumption	NOUN
cana-4452	116	5	,	,	PUNCT
cana-4452	116	6	the	the	DET
cana-4452	116	7	model	model	NOUN
cana-4452	116	8	of	of	ADP
cana-4452	116	9	the	the	DET
cana-4452	116	10	fractional	fractional	ADJ
cana-4452	116	11	-	-	PUNCT
cana-4452	116	12	order	order	NOUN
cana-4452	116	13	dynamical	dynamical	ADJ
cana-4452	116	14	system	system	NOUN
cana-4452	116	15	represented	represent	VERB
cana-4452	116	16	mathematically	mathematically	ADV
cana-4452	116	17	(	(	PUNCT
cana-4452	116	18	19	19	NUM
cana-4452	116	19	)	)	PUNCT
cana-4452	116	20	as	as	SCONJ
cana-4452	116	21	follows	follow	VERB
cana-4452	116	22	[	[	X
cana-4452	116	23	24	24	NUM
cana-4452	116	24	]	]	PUNCT
cana-4452	116	25	.	.	PUNCT
cana-4452	117	1	3	3	X
cana-4452	117	2	.	.	X
cana-4452	117	3	stability	stability	NOUN
cana-4452	117	4	analysis	analysis	NOUN
cana-4452	117	5	in	in	ADP
cana-4452	117	6	this	this	DET
cana-4452	117	7	section	section	NOUN
cana-4452	117	8	,	,	PUNCT
cana-4452	117	9	we	we	PRON
cana-4452	117	10	discuss	discuss	VERB
cana-4452	117	11	the	the	DET
cana-4452	117	12	local	local	ADJ
cana-4452	117	13	stability	stability	NOUN
cana-4452	117	14	of	of	ADP
cana-4452	117	15	endemic	endemic	ADJ
cana-4452	117	16	equilibrium	equilibrium	NOUN
cana-4452	117	17	and	and	CCONJ
cana-4452	117	18	disease	disease	NOUN
cana-4452	117	19	-	-	PUNCT
cana-4452	117	20	free	free	ADJ
cana-4452	117	21	equilibrium	equilibrium	NOUN
cana-4452	117	22	of	of	ADP
cana-4452	117	23	system	system	NOUN
cana-4452	117	24	(	(	PUNCT
cana-4452	117	25	1	1	NUM
cana-4452	117	26	)	)	PUNCT
cana-4452	117	27	by	by	ADP
cana-4452	117	28	using	use	VERB
cana-4452	117	29	hurwitz	hurwitz	PROPN
cana-4452	117	30	criterion	criterion	NOUN
cana-4452	117	31	.	.	PUNCT
cana-4452	118	1	since	since	SCONJ
cana-4452	118	2	the	the	DET
cana-4452	118	3	first	first	ADJ
cana-4452	118	4	three	three	NUM
cana-4452	118	5	equations	equation	NOUN
cana-4452	118	6	of	of	ADP
cana-4452	118	7	system	system	NOUN
cana-4452	118	8	(	(	PUNCT
cana-4452	118	9	1	1	X
cana-4452	118	10	)	)	PUNCT
cana-4452	118	11	are	be	AUX
cana-4452	118	12	independent	independent	ADJ
cana-4452	118	13	of	of	ADP
cana-4452	118	14	n(t	n(t	PROPN
cana-4452	118	15	)	)	PUNCT
cana-4452	118	16	,	,	PUNCT
cana-4452	118	17	without	without	ADP
cana-4452	118	18	loss	loss	NOUN
cana-4452	118	19	of	of	ADP
cana-4452	118	20	generality	generality	NOUN
cana-4452	118	21	,	,	PUNCT
cana-4452	118	22	we	we	PRON
cana-4452	118	23	omit	omit	VERB
cana-4452	118	24	this	this	DET
cana-4452	118	25	one	one	NOUN
cana-4452	118	26	and	and	CCONJ
cana-4452	118	27	then	then	ADV
cana-4452	118	28	the	the	DET
cana-4452	118	29	system	system	NOUN
cana-4452	118	30	(	(	PUNCT
cana-4452	118	31	1	1	X
cana-4452	118	32	)	)	PUNCT
cana-4452	118	33	is	be	AUX
cana-4452	118	34	reduced	reduce	VERB
cana-4452	118	35	to	to	ADP
cana-4452	118	36	the	the	DET
cana-4452	118	37	following	follow	VERB
cana-4452	118	38	:	:	PUNCT
cana-4452	118	39	𝑑𝒮	𝑑𝒮	ADV
cana-4452	118	40	𝑑𝜄	𝑑𝜄	ADP
cana-4452	118	41	=	=	SYM
cana-4452	118	42	𝜃𝒩(𝜄	𝜃𝒩(𝜄	PROPN
cana-4452	118	43	)	)	PUNCT
cana-4452	118	44	−	−	ADP
cana-4452	118	45	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	118	46	)	)	PUNCT
cana-4452	118	47	−	−	PROPN
cana-4452	118	48	𝜏𝒮(𝜄	𝜏𝒮(𝜄	NUM
cana-4452	118	49	)	)	PUNCT
cana-4452	118	50	,	,	PUNCT
cana-4452	118	51	𝑑ℐ	𝑑ℐ	VERB
cana-4452	118	52	𝑑𝜄	𝑑𝜄	NOUN
cana-4452	118	53	=	=	PUNCT
cana-4452	118	54	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	118	55	)	)	PUNCT
cana-4452	119	1	−	−	PROPN
cana-4452	120	1	(	(	PUNCT
cana-4452	120	2	𝜓	𝜓	PROPN
cana-4452	120	3	+	+	CCONJ
cana-4452	120	4	𝜏	𝜏	X
cana-4452	120	5	+	+	NUM
cana-4452	120	6	𝛿)ℐ(𝜄	𝛿)ℐ(𝜄	NOUN
cana-4452	120	7	)	)	PUNCT
cana-4452	120	8	,	,	PUNCT
cana-4452	120	9	𝑑ℛ	𝑑ℛ	NOUN
cana-4452	120	10	𝑑𝜄	𝑑𝜄	ADP
cana-4452	120	11	=	=	SYM
cana-4452	120	12	𝜓ℐ(𝜄	𝜓ℐ(𝜄	PROPN
cana-4452	120	13	)	)	PUNCT
cana-4452	120	14	−	−	PROPN
cana-4452	120	15	𝜏ℛ(𝜄	𝜏ℛ(𝜄	NUM
cana-4452	120	16	)	)	PUNCT
cana-4452	120	17	.	.	PUNCT
cana-4452	121	1	(	(	PUNCT
cana-4452	121	2	20	20	NUM
cana-4452	121	3	)	)	PUNCT
cana-4452	121	4	3.1	3.1	NUM
cana-4452	121	5	equilibrium	equilibrium	NOUN
cana-4452	121	6	points	point	NOUN
cana-4452	121	7	.	.	PUNCT
cana-4452	122	1	for	for	ADP
cana-4452	122	2	the	the	DET
cana-4452	122	3	disease	disease	NOUN
cana-4452	122	4	-	-	PUNCT
cana-4452	122	5	free	free	ADJ
cana-4452	122	6	equilibrium	equilibrium	NOUN
cana-4452	122	7	points	point	NOUN
cana-4452	122	8	point	point	NOUN
cana-4452	122	9	e0	e0	PROPN
cana-4452	122	10	𝐸0	𝐸0	NOUN
cana-4452	122	11	=	=	SYM
cana-4452	122	12	(	(	PUNCT
cana-4452	122	13	𝜃	𝜃	NOUN
cana-4452	122	14	𝜏	𝜏	X
cana-4452	122	15	,	,	PUNCT
cana-4452	122	16	0,0	0,0	NOUN
cana-4452	122	17	)	)	PUNCT
cana-4452	122	18	.	.	PUNCT
cana-4452	123	1	the	the	DET
cana-4452	123	2	jacobian	jacobian	NOUN
cana-4452	123	3	of	of	ADP
cana-4452	123	4	the	the	DET
cana-4452	123	5	system	system	NOUN
cana-4452	123	6	(	(	PUNCT
cana-4452	123	7	2	2	X
cana-4452	123	8	)	)	PUNCT
cana-4452	123	9	is	be	AUX
cana-4452	123	10	given	give	VERB
cana-4452	123	11	by	by	ADP
cana-4452	123	12	,	,	PUNCT
cana-4452	123	13	𝐽	𝐽	PROPN
cana-4452	123	14	=	=	PUNCT
cana-4452	124	1	[	[	PUNCT
cana-4452	124	2	−𝛽ℐ	−𝛽ℐ	ADJ
cana-4452	124	3	−	−	NOUN
cana-4452	124	4	𝜏	𝜏	PRON
cana-4452	124	5	𝛽𝒮	𝛽𝒮	NOUN
cana-4452	124	6	0	0	NUM
cana-4452	124	7	𝛽ℐ	𝛽ℐ	NOUN
cana-4452	124	8	𝛽𝑆	𝛽𝑆	ADJ
cana-4452	124	9	−	−	PROPN
cana-4452	124	10	𝛿	𝛿	ADJ
cana-4452	124	11	−	−	PROPN
cana-4452	124	12	𝜓	𝜓	NOUN
cana-4452	124	13	−	−	PROPN
cana-4452	124	14	𝜏	𝜏	SYM
cana-4452	124	15	0	0	NUM
cana-4452	124	16	0	0	NUM
cana-4452	124	17	𝜓	𝜓	NOUN
cana-4452	124	18	−𝜏	−𝜏	ADJ
cana-4452	124	19	]	]	PUNCT
cana-4452	124	20	while	while	SCONJ
cana-4452	124	21	the	the	DET
cana-4452	124	22	jacobian	jacobian	NOUN
cana-4452	124	23	of	of	ADP
cana-4452	124	24	free	free	ADJ
cana-4452	124	25	equilibrium	equilibrium	NOUN
cana-4452	124	26	point	point	NOUN
cana-4452	124	27	𝐸0	𝐸0	PROPN
cana-4452	124	28	is	be	AUX
cana-4452	124	29	𝐽(𝐸0	𝐽(𝐸0	PRON
cana-4452	124	30	)	)	PUNCT
cana-4452	124	31	=	=	NOUN
cana-4452	125	1	[	[	PUNCT
cana-4452	125	2	−𝜏	−𝜏	NOUN
cana-4452	125	3	−𝛽𝜃	−𝛽𝜃	NOUN
cana-4452	125	4	𝜏	𝜏	NOUN
cana-4452	125	5	0	0	NUM
cana-4452	125	6	0	0	NUM
cana-4452	126	1	𝛽𝜃−𝛿−𝜓𝜏−𝜏2	𝛽𝜃−𝛿−𝜓𝜏−𝜏2	PROPN
cana-4452	126	2	𝜏	𝜏	ADP
cana-4452	126	3	0	0	NUM
cana-4452	126	4	0	0	NUM
cana-4452	126	5	𝜓	𝜓	NOUN
cana-4452	126	6	−𝜏	−𝜏	VERB
cana-4452	126	7	]	]	PUNCT
cana-4452	126	8	.	.	PUNCT
cana-4452	127	1	for	for	SCONJ
cana-4452	127	2	the	the	DET
cana-4452	127	3	reproduction	reproduction	NOUN
cana-4452	127	4	number	number	NOUN
cana-4452	127	5	to	to	PART
cana-4452	127	6	be	be	AUX
cana-4452	127	7	largest	large	ADJ
cana-4452	127	8	eigenvalues	eigenvalue	NOUN
cana-4452	127	9	or	or	CCONJ
cana-4452	127	10	spectral	spectral	ADJ
cana-4452	127	11	radius	radius	NOUN
cana-4452	127	12	of	of	ADP
cana-4452	127	13	characteristic	characteristic	ADJ
cana-4452	127	14	equation	equation	NOUN
cana-4452	127	15	|f	|f	PROPN
cana-4452	127	16	v	v	NOUN
cana-4452	127	17	−1	−1	NOUN
cana-4452	128	1	−	−	NOUN
cana-4452	128	2	λi|	λi|	NOUN
cana-4452	128	3	=	=	SYM
cana-4452	128	4	0	0	NUM
cana-4452	128	5	,	,	PUNCT
cana-4452	128	6	for	for	ADP
cana-4452	128	7	the	the	DET
cana-4452	128	8	model	model	NOUN
cana-4452	128	9	in	in	ADP
cana-4452	128	10	(	(	PUNCT
cana-4452	128	11	3	3	NUM
cana-4452	128	12	)	)	PUNCT
cana-4452	128	13	,	,	PUNCT
cana-4452	128	14	the	the	DET
cana-4452	128	15	associated	associate	VERB
cana-4452	128	16	matrices	matrix	NOUN
cana-4452	128	17	f	f	PROPN
cana-4452	128	18	and	and	CCONJ
cana-4452	128	19	v	v	NOUN
cana-4452	128	20	for	for	ADP
cana-4452	128	21	the	the	DET
cana-4452	128	22	new	new	ADJ
cana-4452	128	23	infectious	infectious	ADJ
cana-4452	128	24	terms	term	NOUN
cana-4452	128	25	communications	communication	NOUN
cana-4452	128	26	on	on	ADP
cana-4452	128	27	applied	apply	VERB
cana-4452	128	28	nonlinear	nonlinear	ADJ
cana-4452	128	29	analysis	analysis	NOUN
cana-4452	128	30	issn	issn	NOUN
cana-4452	128	31	:	:	PUNCT
cana-4452	128	32	1074	1074	NUM
cana-4452	128	33	-	-	PUNCT
cana-4452	128	34	133x	133x	NUM
cana-4452	128	35	vol	vol	NOUN
cana-4452	128	36	32	32	NUM
cana-4452	128	37	no	no	NOUN
cana-4452	128	38	.	.	PUNCT
cana-4452	129	1	9s	9s	NUM
cana-4452	129	2	(	(	PUNCT
cana-4452	129	3	2025	2025	NUM
cana-4452	129	4	)	)	PUNCT
cana-4452	129	5	2119	2119	NUM
cana-4452	129	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	129	7	and	and	CCONJ
cana-4452	129	8	the	the	DET
cana-4452	129	9	remaining	remain	VERB
cana-4452	129	10	transition	transition	NOUN
cana-4452	129	11	terms	term	NOUN
cana-4452	129	12	evaluated	evaluate	VERB
cana-4452	129	13	at	at	ADP
cana-4452	129	14	the	the	DET
cana-4452	129	15	disease	disease	NOUN
cana-4452	129	16	-	-	PUNCT
cana-4452	129	17	free	free	ADJ
cana-4452	129	18	equilibrium	equilibrium	NOUN
cana-4452	129	19	are	be	AUX
cana-4452	129	20	respectively	respectively	ADV
cana-4452	129	21	given	give	VERB
cana-4452	129	22	by	by	ADP
cana-4452	129	23	𝐹	𝐹	PROPN
cana-4452	129	24	=	=	PUNCT
cana-4452	129	25	[	[	PUNCT
cana-4452	129	26	𝛽𝜃	𝛽𝜃	INTJ
cana-4452	129	27	𝜏	𝜏	SYM
cana-4452	129	28	0	0	NUM
cana-4452	129	29	0	0	NUM
cana-4452	129	30	0	0	NUM
cana-4452	129	31	]	]	PUNCT
cana-4452	129	32	,	,	PUNCT
cana-4452	129	33	𝑉	𝑉	PROPN
cana-4452	129	34	=	=	X
cana-4452	129	35	[	[	PUNCT
cana-4452	129	36	𝜓	𝜓	NOUN
cana-4452	129	37	+	+	CCONJ
cana-4452	129	38	𝛿	𝛿	ADJ
cana-4452	129	39	+	+	NOUN
cana-4452	129	40	𝜏	𝜏	SYM
cana-4452	129	41	0	0	NUM
cana-4452	129	42	−𝜓	−𝜓	NOUN
cana-4452	129	43	𝜏	𝜏	X
cana-4452	129	44	]	]	X
cana-4452	129	45	.	.	PUNCT
cana-4452	130	1	from	from	ADP
cana-4452	130	2	which	which	PRON
cana-4452	130	3	the	the	DET
cana-4452	130	4	next	next	ADJ
cana-4452	130	5	generation	generation	NOUN
cana-4452	130	6	matrix	matrix	NOUN
cana-4452	130	7	can	can	AUX
cana-4452	130	8	be	be	AUX
cana-4452	130	9	calculated	calculate	VERB
cana-4452	130	10	as	as	ADP
cana-4452	130	11	f	f	PROPN
cana-4452	130	12	v−1=	v−1=	PROPN
cana-4452	130	13	[	[	PUNCT
cana-4452	130	14	βθ	βθ	ADP
cana-4452	130	15	τ(ψ	τ(ψ	X
cana-4452	130	16	+	+	NOUN
cana-4452	130	17	δ	δ	PROPN
cana-4452	130	18	+	+	CCONJ
cana-4452	130	19	τ	τ	X
cana-4452	130	20	)	)	PUNCT
cana-4452	130	21	0	0	NUM
cana-4452	130	22	0	0	NUM
cana-4452	130	23	0	0	NUM
cana-4452	130	24	]	]	PUNCT
cana-4452	130	25	,	,	PUNCT
cana-4452	130	26	where	where	SCONJ
cana-4452	130	27	𝑅0	𝑅0	NOUN
cana-4452	130	28	=	=	SYM
cana-4452	130	29	βθ	βθ	ADP
cana-4452	130	30	τ(ψ	τ(ψ	X
cana-4452	130	31	+	+	NOUN
cana-4452	130	32	δ	δ	PROPN
cana-4452	130	33	+	+	CCONJ
cana-4452	130	34	τ	τ	X
cana-4452	130	35	)	)	PUNCT
cana-4452	130	36	is	be	AUX
cana-4452	130	37	the	the	DET
cana-4452	130	38	required	require	VERB
cana-4452	130	39	reproduction	reproduction	NOUN
cana-4452	130	40	number	number	NOUN
cana-4452	130	41	.	.	PUNCT
cana-4452	131	1	theorem	theorem	VERB
cana-4452	131	2	3.1	3.1	NUM
cana-4452	131	3	.	.	PUNCT
cana-4452	132	1	for	for	ADP
cana-4452	132	2	r0	r0	PROPN
cana-4452	132	3	>	>	X
cana-4452	132	4	1	1	NUM
cana-4452	132	5	,	,	PUNCT
cana-4452	132	6	there	there	PRON
cana-4452	132	7	exist	exist	VERB
cana-4452	132	8	a	a	DET
cana-4452	132	9	positive	positive	ADJ
cana-4452	132	10	disease	disease	NOUN
cana-4452	132	11	equilibrium	equilibrium	NOUN
cana-4452	132	12	point	point	NOUN
cana-4452	132	13	e	e	X
cana-4452	132	14	*	*	PUNCT
cana-4452	132	15	.	.	PUNCT
cana-4452	133	1	proof	proof	NOUN
cana-4452	133	2	.	.	PUNCT
cana-4452	134	1	we	we	PRON
cana-4452	134	2	set	set	VERB
cana-4452	134	3	the	the	DET
cana-4452	134	4	left	left	ADJ
cana-4452	134	5	side	side	NOUN
cana-4452	134	6	of	of	ADP
cana-4452	134	7	the	the	DET
cana-4452	134	8	system	system	NOUN
cana-4452	134	9	(	(	PUNCT
cana-4452	134	10	20	20	NUM
cana-4452	134	11	)	)	PUNCT
cana-4452	134	12	is	be	AUX
cana-4452	134	13	equal	equal	ADJ
cana-4452	134	14	to	to	ADP
cana-4452	134	15	zero	zero	NUM
cana-4452	134	16	.	.	PUNCT
cana-4452	135	1	then	then	ADV
cana-4452	135	2	we	we	PRON
cana-4452	135	3	have	have	VERB
cana-4452	135	4	e	e	NOUN
cana-4452	135	5	*	*	NOUN
cana-4452	135	6	𝜃	𝜃	PRON
cana-4452	135	7	−	−	NOUN
cana-4452	135	8	𝛽𝒮ℐ	𝛽𝒮ℐ	ADJ
cana-4452	135	9	−	−	NOUN
cana-4452	135	10	𝜏𝒮	𝜏𝒮	NOUN
cana-4452	135	11	=	=	SYM
cana-4452	135	12	0	0	NUM
cana-4452	135	13	(	(	PUNCT
cana-4452	135	14	21	21	NUM
cana-4452	135	15	)	)	PUNCT
cana-4452	135	16	𝛽𝒮ℐ	𝛽𝒮ℐ	NUM
cana-4452	135	17	−	−	PROPN
cana-4452	135	18	(	(	PUNCT
cana-4452	135	19	𝜓	𝜓	PROPN
cana-4452	135	20	+	+	CCONJ
cana-4452	136	1	𝛿	𝛿	ADJ
cana-4452	136	2	+	+	NOUN
cana-4452	136	3	𝜏)ℐ	𝜏)ℐ	X
cana-4452	136	4	=	=	SYM
cana-4452	136	5	0	0	NUM
cana-4452	136	6	(	(	PUNCT
cana-4452	136	7	22	22	NUM
cana-4452	136	8	)	)	PUNCT
cana-4452	136	9	𝜓ℐ	𝜓ℐ	NOUN
cana-4452	137	1	−	−	PROPN
cana-4452	137	2	𝜏𝑅	𝜏𝑅	PROPN
cana-4452	137	3	=	=	NOUN
cana-4452	137	4	0	0	PROPN
cana-4452	137	5	.	.	PUNCT
cana-4452	138	1	(	(	PUNCT
cana-4452	138	2	23	23	NUM
cana-4452	138	3	)	)	PUNCT
cana-4452	138	4	from	from	ADP
cana-4452	138	5	(	(	PUNCT
cana-4452	138	6	22	22	NUM
cana-4452	138	7	)	)	PUNCT
cana-4452	138	8	we	we	PRON
cana-4452	138	9	have	have	VERB
cana-4452	138	10	𝛽𝒮ℐ	𝛽𝒮ℐ	ADJ
cana-4452	138	11	=	=	SYM
cana-4452	138	12	(	(	PUNCT
cana-4452	138	13	𝜓	𝜓	PROPN
cana-4452	138	14	+	+	CCONJ
cana-4452	138	15	𝛿	𝛿	ADJ
cana-4452	138	16	+	+	NOUN
cana-4452	138	17	𝜏)ℐ	𝜏)ℐ	NOUN
cana-4452	138	18	𝛽𝒮	𝛽𝒮	NOUN
cana-4452	138	19	=	=	SYM
cana-4452	138	20	(	(	PUNCT
cana-4452	138	21	𝜓	𝜓	PROPN
cana-4452	138	22	+	+	CCONJ
cana-4452	138	23	𝛿	𝛿	ADJ
cana-4452	138	24	+	+	ADJ
cana-4452	138	25	𝜏	𝜏	X
cana-4452	138	26	)	)	PUNCT
cana-4452	138	27	𝒮	𝒮	NOUN
cana-4452	138	28	=	=	SYM
cana-4452	138	29	(	(	PUNCT
cana-4452	138	30	𝜓	𝜓	PROPN
cana-4452	138	31	+	+	CCONJ
cana-4452	138	32	𝛿	𝛿	ADJ
cana-4452	138	33	+	+	ADJ
cana-4452	138	34	𝜏	𝜏	NOUN
cana-4452	138	35	)	)	PUNCT
cana-4452	138	36	𝛽	𝛽	NOUN
cana-4452	138	37	.	.	PUNCT
cana-4452	139	1	it	it	PRON
cana-4452	139	2	follows	follow	VERB
cana-4452	139	3	from	from	ADP
cana-4452	139	4	(	(	PUNCT
cana-4452	139	5	21	21	NUM
cana-4452	139	6	)	)	PUNCT
cana-4452	139	7	𝜃	𝜃	NOUN
cana-4452	139	8	−	−	NOUN
cana-4452	139	9	𝛽𝒮ℐ	𝛽𝒮ℐ	PUNCT
cana-4452	139	10	−	−	NOUN
cana-4452	139	11	𝜏𝒮	𝜏𝒮	NOUN
cana-4452	139	12	=	=	SYM
cana-4452	139	13	0	0	PUNCT
cana-4452	139	14	𝜃	𝜃	X
cana-4452	139	15	=	=	PUNCT
cana-4452	139	16	(	(	PUNCT
cana-4452	139	17	𝛽ℐ	𝛽ℐ	PROPN
cana-4452	139	18	+	+	CCONJ
cana-4452	139	19	𝜏)𝒮	𝜏)𝒮	X
cana-4452	139	20	𝛽𝐼	𝛽𝐼	NOUN
cana-4452	139	21	+	+	CCONJ
cana-4452	139	22	𝜏	𝜏	X
cana-4452	139	23	=	=	SYM
cana-4452	139	24	𝜃	𝜃	X
cana-4452	139	25	𝒮	𝒮	NOUN
cana-4452	139	26	𝛽𝐼	𝛽𝐼	NOUN
cana-4452	139	27	=	=	PUNCT
cana-4452	139	28	𝜃	𝜃	PROPN
cana-4452	139	29	𝒮	𝒮	NOUN
cana-4452	139	30	−	−	PROPN
cana-4452	139	31	𝜏	𝜏	PROPN
cana-4452	139	32	𝛽𝐼	𝛽𝐼	PROPN
cana-4452	139	33	=	=	SYM
cana-4452	139	34	𝛽𝜃	𝛽𝜃	NOUN
cana-4452	139	35	𝜓+𝛿+𝜏	𝜓+𝛿+𝜏	NOUN
cana-4452	139	36	−	−	PROPN
cana-4452	139	37	𝜏	𝜏	PROPN
cana-4452	139	38	𝛽𝐼	𝛽𝐼	PROPN
cana-4452	139	39	=	=	SYM
cana-4452	139	40	𝛽𝜃−𝜏𝜓−𝜏𝛿−𝜏2	𝛽𝜃−𝜏𝜓−𝜏𝛿−𝜏2	NOUN
cana-4452	139	41	𝜓+𝛿+𝜏	𝜓+𝛿+𝜏	NOUN
cana-4452	139	42	𝐼	𝐼	PROPN
cana-4452	139	43	=	=	SYM
cana-4452	139	44	𝛽𝜃−𝜏𝜓−𝜏𝛿−𝜏2	𝛽𝜃−𝜏𝜓−𝜏𝛿−𝜏2	NOUN
cana-4452	139	45	𝛽(𝜓+𝛿+𝜏	𝛽(𝜓+𝛿+𝜏	NUM
cana-4452	139	46	)	)	PUNCT
cana-4452	139	47	𝐼	𝐼	PROPN
cana-4452	139	48	=	=	SYM
cana-4452	139	49	−𝜏(𝜓+𝛿+𝜏)+	−𝜏(𝜓+𝛿+𝜏)+	PROPN
cana-4452	139	50	𝑠𝜃+𝜏	𝑠𝜃+𝜏	NOUN
cana-4452	139	51	)	)	PUNCT
cana-4452	139	52	𝛽(𝜓+𝛿+𝜏	𝛽(𝜓+𝛿+𝜏	NUM
cana-4452	139	53	)	)	PUNCT
cana-4452	139	54	𝐼	𝐼	ADP
cana-4452	139	55	𝐼	𝐼	PROPN
cana-4452	139	56	=	=	SYM
cana-4452	139	57	𝜏(𝑅0−𝛿+𝜏)𝜏(𝑅0−1	𝜏(𝑅0−𝛿+𝜏)𝜏(𝑅0−1	PROPN
cana-4452	139	58	)	)	PUNCT
cana-4452	139	59	𝛽(𝜓+𝛿+𝜏	𝛽(𝜓+𝛿+𝜏	NUM
cana-4452	139	60	)	)	PUNCT
cana-4452	139	61	communications	communication	NOUN
cana-4452	139	62	on	on	ADP
cana-4452	139	63	applied	apply	VERB
cana-4452	139	64	nonlinear	nonlinear	ADJ
cana-4452	139	65	analysis	analysis	NOUN
cana-4452	139	66	issn	issn	NOUN
cana-4452	139	67	:	:	PUNCT
cana-4452	139	68	1074	1074	NUM
cana-4452	139	69	-	-	PUNCT
cana-4452	139	70	133x	133x	NUM
cana-4452	139	71	vol	vol	NOUN
cana-4452	139	72	32	32	NUM
cana-4452	140	1	no	no	NOUN
cana-4452	140	2	.	.	PUNCT
cana-4452	141	1	9s	9s	NUM
cana-4452	141	2	(	(	PUNCT
cana-4452	141	3	2025	2025	NUM
cana-4452	141	4	)	)	PUNCT
cana-4452	141	5	2120	2120	NUM
cana-4452	141	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	141	7	from	from	ADP
cana-4452	141	8	(	(	PUNCT
cana-4452	141	9	23	23	NUM
cana-4452	141	10	)	)	PUNCT
cana-4452	141	11	we	we	PRON
cana-4452	141	12	have	have	VERB
cana-4452	141	13	𝜓ℐ	𝜓ℐ	PROPN
cana-4452	141	14	−	−	PROPN
cana-4452	141	15	𝜏ℛ	𝜏ℛ	NOUN
cana-4452	141	16	=	=	NOUN
cana-4452	141	17	0	0	PUNCT
cana-4452	141	18	𝜓ℐ	𝜓ℐ	NOUN
cana-4452	141	19	=	=	PUNCT
cana-4452	141	20	𝜏ℛ	𝜏ℛ	NOUN
cana-4452	141	21	𝜏ℛ	𝜏ℛ	NOUN
cana-4452	141	22	=	=	PUNCT
cana-4452	141	23	𝜏(𝛽𝜃	𝜏(𝛽𝜃	PROPN
cana-4452	141	24	−	−	PROPN
cana-4452	141	25	𝜏𝜓	𝜏𝜓	PROPN
cana-4452	141	26	−	−	PROPN
cana-4452	141	27	𝜏𝛿	𝜏𝛿	NOUN
cana-4452	141	28	−	−	PROPN
cana-4452	141	29	𝜏2	𝜏2	PROPN
cana-4452	141	30	)	)	PUNCT
cana-4452	141	31	𝛽(𝜓	𝛽(𝜓	PROPN
cana-4452	142	1	+	+	NUM
cana-4452	142	2	𝛿	𝛿	ADJ
cana-4452	142	3	+	+	ADJ
cana-4452	142	4	𝜏	𝜏	X
cana-4452	142	5	)	)	PUNCT
cana-4452	142	6	ℛ	ℛ	NOUN
cana-4452	142	7	=	=	PUNCT
cana-4452	142	8	𝜏(𝛽𝜃	𝜏(𝛽𝜃	PROPN
cana-4452	142	9	−	−	NOUN
cana-4452	142	10	𝜏(𝜓	𝜏(𝜓	PROPN
cana-4452	142	11	+	+	CCONJ
cana-4452	142	12	𝛿	𝛿	PRON
cana-4452	142	13	+	+	NOUN
cana-4452	142	14	𝜏	𝜏	X
cana-4452	142	15	)	)	PUNCT
cana-4452	142	16	𝛽𝜏(𝜓	𝛽𝜏(𝜓	X
cana-4452	142	17	+	+	CCONJ
cana-4452	142	18	𝛿	𝛿	ADJ
cana-4452	142	19	+	+	ADJ
cana-4452	142	20	𝜏	𝜏	X
cana-4452	142	21	)	)	PUNCT
cana-4452	142	22	ℛ	ℛ	NOUN
cana-4452	142	23	=	=	PUNCT
cana-4452	142	24	𝜓𝜏(𝜓	𝜓𝜏(𝜓	NOUN
cana-4452	142	25	+	+	NOUN
cana-4452	142	26	𝛿	𝛿	ADJ
cana-4452	142	27	+	+	ADJ
cana-4452	142	28	𝜏	𝜏	NOUN
cana-4452	142	29	)	)	PUNCT
cana-4452	142	30	−	−	PROPN
cana-4452	142	31	(	(	PUNCT
cana-4452	142	32	𝛽𝜃	𝛽𝜃	AUX
cana-4452	142	33	𝜓	𝜓	NOUN
cana-4452	143	1	+	+	CCONJ
cana-4452	144	1	𝛿	𝛿	ADJ
cana-4452	144	2	+	+	NOUN
cana-4452	144	3	𝜏	𝜏	NUM
cana-4452	144	4	−	−	PROPN
cana-4452	144	5	1	1	NUM
cana-4452	144	6	)	)	PUNCT
cana-4452	144	7	𝛽𝜏(𝜓	𝛽𝜏(𝜓	X
cana-4452	144	8	+	+	CCONJ
cana-4452	144	9	𝛿	𝛿	ADJ
cana-4452	144	10	+	+	ADJ
cana-4452	144	11	𝜏	𝜏	X
cana-4452	144	12	)	)	PUNCT
cana-4452	144	13	ℛ	ℛ	NOUN
cana-4452	144	14	=	=	NOUN
cana-4452	144	15	𝜓	𝜓	PROPN
cana-4452	144	16	𝛽	𝛽	PROPN
cana-4452	144	17	(	(	PUNCT
cana-4452	144	18	𝑅0	𝑅0	PROPN
cana-4452	144	19	−	−	PROPN
cana-4452	144	20	1	1	NUM
cana-4452	144	21	)	)	PUNCT
cana-4452	144	22	𝒮	𝒮	NOUN
cana-4452	144	23	=	=	SYM
cana-4452	144	24	𝜓+𝛿+𝜏	𝜓+𝛿+𝜏	NOUN
cana-4452	144	25	𝛽	𝛽	PROPN
cana-4452	144	26	i	i	PROPN
cana-4452	144	27	=	=	SYM
cana-4452	144	28	τ	τ	X
cana-4452	144	29	β	β	X
cana-4452	144	30	(	(	PUNCT
cana-4452	144	31	r0	r0	NOUN
cana-4452	144	32	−	−	PROPN
cana-4452	144	33	1	1	NUM
cana-4452	144	34	)	)	PUNCT
cana-4452	144	35	r	r	NOUN
cana-4452	144	36	=	=	SYM
cana-4452	144	37	ψ	ψ	X
cana-4452	144	38	β	β	X
cana-4452	144	39	(	(	PUNCT
cana-4452	144	40	r0	r0	NOUN
cana-4452	144	41	−	−	PROPN
cana-4452	144	42	1	1	NUM
cana-4452	144	43	)	)	PUNCT
cana-4452	144	44	from	from	ADP
cana-4452	144	45	which	which	PRON
cana-4452	144	46	it	it	PRON
cana-4452	144	47	can	can	AUX
cana-4452	144	48	clearly	clearly	ADV
cana-4452	144	49	be	be	AUX
cana-4452	144	50	seen	see	VERB
cana-4452	144	51	that	that	SCONJ
cana-4452	144	52	,	,	PUNCT
cana-4452	144	53	the	the	DET
cana-4452	144	54	equilibrium	equilibrium	NOUN
cana-4452	144	55	exists	exist	VERB
cana-4452	144	56	only	only	ADV
cana-4452	144	57	if	if	SCONJ
cana-4452	144	58	r0	r0	NOUN
cana-4452	144	59	>	>	X
cana-4452	144	60	1	1	NUM
cana-4452	144	61	.	.	X
cana-4452	144	62	4	4	NUM
cana-4452	144	63	.	.	X
cana-4452	144	64	𝒒	𝒒	PRON
cana-4452	144	65	hatm	hatm	ADJ
cana-4452	144	66	solution	solution	NOUN
cana-4452	144	67	for	for	ADP
cana-4452	144	68	the	the	DET
cana-4452	144	69	projected	project	VERB
cana-4452	144	70	model	model	NOUN
cana-4452	144	71	we	we	PRON
cana-4452	144	72	will	will	AUX
cana-4452	144	73	discuss	discuss	VERB
cana-4452	144	74	the	the	DET
cana-4452	144	75	model	model	NOUN
cana-4452	144	76	presented	present	VERB
cana-4452	144	77	in	in	ADP
cana-4452	144	78	this	this	DET
cana-4452	144	79	section	section	NOUN
cana-4452	144	80	,	,	PUNCT
cana-4452	144	81	by	by	ADP
cana-4452	144	82	mean	mean	NOUN
cana-4452	144	83	of	of	ADP
cana-4452	144	84	q	q	NOUN
cana-4452	144	85	−	−	PROPN
cana-4452	144	86	hatm	hatm	ADJ
cana-4452	144	87	solution	solution	NOUN
cana-4452	144	88	approach	approach	NOUN
cana-4452	144	89	.	.	PUNCT
cana-4452	145	1	the	the	DET
cana-4452	145	2	system	system	NOUN
cana-4452	145	3	of	of	ADP
cana-4452	145	4	equations	equation	NOUN
cana-4452	145	5	of	of	ADP
cana-4452	145	6	fractional	fractional	ADJ
cana-4452	145	7	order	order	NOUN
cana-4452	145	8	(	(	PUNCT
cana-4452	145	9	19	19	NUM
cana-4452	145	10	)	)	PUNCT
cana-4452	145	11	are	be	AUX
cana-4452	145	12	now	now	ADV
cana-4452	145	13	defined	define	VERB
cana-4452	145	14	as	as	SCONJ
cana-4452	145	15	follows	follow	VERB
cana-4452	145	16	𝐷𝑡	𝐷𝑡	PROPN
cana-4452	145	17	𝜌	𝜌	NOUN
cana-4452	145	18	𝒮(𝜄	𝒮(𝜄	NOUN
cana-4452	146	1	)	)	PUNCT
cana-4452	146	2	=	=	SYM
cana-4452	146	3	𝜃𝒩(𝜄	𝜃𝒩(𝜄	PROPN
cana-4452	146	4	)	)	PUNCT
cana-4452	147	1	−	−	ADP
cana-4452	147	2	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	147	3	)	)	PUNCT
cana-4452	147	4	−	−	PROPN
cana-4452	147	5	𝜏𝒮(𝜄	𝜏𝒮(𝜄	NUM
cana-4452	147	6	)	)	PUNCT
cana-4452	147	7	,	,	PUNCT
cana-4452	147	8	𝐷𝐿	𝐷𝐿	PROPN
cana-4452	147	9	𝜌	𝜌	PART
cana-4452	147	10	ℐ(𝜄	ℐ(𝜄	NOUN
cana-4452	147	11	)	)	PUNCT
cana-4452	147	12	=	=	SYM
cana-4452	147	13	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	147	14	)	)	PUNCT
cana-4452	147	15	−	−	PROPN
cana-4452	147	16	(	(	PUNCT
cana-4452	147	17	𝜓	𝜓	PROPN
cana-4452	147	18	+	+	CCONJ
cana-4452	147	19	𝜏	𝜏	X
cana-4452	147	20	+	+	NUM
cana-4452	147	21	𝛿)ℐ(𝜄	𝛿)ℐ(𝜄	NOUN
cana-4452	147	22	)	)	PUNCT
cana-4452	147	23	,	,	PUNCT
cana-4452	147	24	𝐷𝐿	𝐷𝐿	PROPN
cana-4452	147	25	𝜌	𝜌	X
cana-4452	147	26	ℛ(𝜄	ℛ(𝜄	PROPN
cana-4452	147	27	)	)	PUNCT
cana-4452	147	28	=	=	SYM
cana-4452	147	29	𝜓ℐ(𝜄	𝜓ℐ(𝜄	PROPN
cana-4452	147	30	)	)	PUNCT
cana-4452	147	31	−	−	PROPN
cana-4452	147	32	𝜏ℛ(𝜄	𝜏ℛ(𝜄	PROPN
cana-4452	147	33	)	)	PUNCT
cana-4452	147	34	,	,	PUNCT
cana-4452	147	35	𝐷𝐿	𝐷𝐿	PROPN
cana-4452	147	36	𝜌	𝜌	PART
cana-4452	147	37	𝒩(𝜄	𝒩(𝜄	NOUN
cana-4452	147	38	)	)	PUNCT
cana-4452	147	39	=	=	SYM
cana-4452	147	40	𝜃𝒩(𝜄	𝜃𝒩(𝜄	PROPN
cana-4452	147	41	)	)	PUNCT
cana-4452	147	42	−	−	PROPN
cana-4452	147	43	𝛿ℐ(𝜄	𝛿ℐ(𝜄	NUM
cana-4452	147	44	)	)	PUNCT
cana-4452	147	45	−	−	PROPN
cana-4452	147	46	𝜏𝒩(𝜄	𝜏𝒩(𝜄	NUM
cana-4452	147	47	)	)	PUNCT
cana-4452	147	48	(	(	PUNCT
cana-4452	147	49	24	24	NUM
cana-4452	147	50	)	)	PUNCT
cana-4452	147	51	with	with	ADP
cana-4452	147	52	initial	initial	ADJ
cana-4452	147	53	conditions	condition	NOUN
cana-4452	147	54	𝒮(0	𝒮(0	NUM
cana-4452	147	55	)	)	PUNCT
cana-4452	147	56	=	=	SYM
cana-4452	147	57	𝒮0	𝒮0	NOUN
cana-4452	147	58	,	,	PUNCT
cana-4452	147	59	ℐ(0	ℐ(0	PRON
cana-4452	147	60	)	)	PUNCT
cana-4452	147	61	=	=	SYM
cana-4452	147	62	ℐ0	ℐ0	PROPN
cana-4452	147	63	,	,	PUNCT
cana-4452	147	64	ℛ(0	ℛ(0	NUM
cana-4452	147	65	)	)	PUNCT
cana-4452	147	66	=	=	SYM
cana-4452	147	67	ℛ0,𝒩(0	ℛ0,𝒩(0	PROPN
cana-4452	147	68	)	)	PUNCT
cana-4452	147	69	=	=	PUNCT
cana-4452	147	70	𝒩0	𝒩0	PROPN
cana-4452	147	71	.	.	PUNCT
cana-4452	148	1	(	(	PUNCT
cana-4452	148	2	25	25	NUM
cana-4452	148	3	)	)	PUNCT
cana-4452	148	4	applying	apply	VERB
cana-4452	148	5	the	the	DET
cana-4452	148	6	lt	lt	NOUN
cana-4452	148	7	to	to	ADP
cana-4452	148	8	the	the	DET
cana-4452	148	9	system	system	NOUN
cana-4452	148	10	(	(	PUNCT
cana-4452	148	11	19	19	NUM
cana-4452	148	12	)	)	PUNCT
cana-4452	148	13	we	we	PRON
cana-4452	148	14	obtain	obtain	VERB
cana-4452	148	15	equation	equation	NOUN
cana-4452	148	16	.	.	PUNCT
cana-4452	149	1	ℒ{𝒮(𝜄	ℒ{𝒮(𝜄	X
cana-4452	149	2	)	)	PUNCT
cana-4452	149	3	}	}	PUNCT
cana-4452	149	4	−	−	PROPN
cana-4452	150	1	1	1	NUM
cana-4452	150	2	𝑠	𝑠	INTJ
cana-4452	150	3	𝒮0	𝒮0	NOUN
cana-4452	150	4	−	−	PROPN
cana-4452	150	5	1	1	NUM
cana-4452	150	6	ℬ(𝜑	ℬ(𝜑	NUM
cana-4452	150	7	)	)	PUNCT
cana-4452	150	8	(	(	PUNCT
cana-4452	150	9	1	1	NUM
cana-4452	150	10	−	−	NOUN
cana-4452	150	11	𝜑	𝜑	NOUN
cana-4452	151	1	+	+	CCONJ
cana-4452	151	2	𝜑	𝜑	PROPN
cana-4452	151	3	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	151	4	)	)	PUNCT
cana-4452	151	5	ℒ{𝜃𝒩(𝜄	ℒ{𝜃𝒩(𝜄	PROPN
cana-4452	151	6	)	)	PUNCT
cana-4452	152	1	−	−	ADP
cana-4452	152	2	𝛽𝒮(𝜄)ℐ(𝜄	𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	152	3	)	)	PUNCT
cana-4452	152	4	−	−	PROPN
cana-4452	152	5	𝜏𝒮(𝜄	𝜏𝒮(𝜄	NUM
cana-4452	152	6	)	)	PUNCT
cana-4452	152	7	}	}	PUNCT
cana-4452	153	1	=	=	SYM
cana-4452	153	2	0	0	NUM
cana-4452	153	3	,	,	PUNCT
cana-4452	153	4	ℒ{ℐ(𝜄	ℒ{ℐ(𝜄	NUM
cana-4452	153	5	)	)	PUNCT
cana-4452	153	6	}	}	PUNCT
cana-4452	153	7	−	−	PROPN
cana-4452	154	1	1	1	NUM
cana-4452	154	2	𝑠	𝑠	INTJ
cana-4452	154	3	ℐ0	ℐ0	NOUN
cana-4452	154	4	−	−	PROPN
cana-4452	154	5	1	1	NUM
cana-4452	154	6	ℬ(𝜑	ℬ(𝜑	NUM
cana-4452	154	7	)	)	PUNCT
cana-4452	154	8	(	(	PUNCT
cana-4452	154	9	1	1	NUM
cana-4452	154	10	−	−	NOUN
cana-4452	154	11	𝜑	𝜑	NOUN
cana-4452	154	12	+	+	CCONJ
cana-4452	154	13	𝜑	𝜑	PROPN
cana-4452	154	14	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	154	15	)	)	PUNCT
cana-4452	154	16	ℒ{𝛽𝒮(𝜄)ℐ(𝜄	ℒ{𝛽𝒮(𝜄)ℐ(𝜄	NOUN
cana-4452	154	17	)	)	PUNCT
cana-4452	154	18	−	−	PROPN
cana-4452	154	19	(	(	PUNCT
cana-4452	154	20	𝜓	𝜓	PROPN
cana-4452	154	21	+	+	CCONJ
cana-4452	154	22	𝜏	𝜏	X
cana-4452	154	23	+	+	NUM
cana-4452	154	24	𝛿)ℐ(𝜄	𝛿)ℐ(𝜄	NOUN
cana-4452	154	25	)	)	PUNCT
cana-4452	154	26	}	}	PUNCT
cana-4452	155	1	=	=	SYM
cana-4452	155	2	0	0	NUM
cana-4452	155	3	,	,	PUNCT
cana-4452	155	4	ℒ{ℛ(𝜄	ℒ{ℛ(𝜄	NOUN
cana-4452	155	5	)	)	PUNCT
cana-4452	155	6	}	}	PUNCT
cana-4452	155	7	−	−	PROPN
cana-4452	156	1	1	1	NUM
cana-4452	156	2	𝑠	𝑠	PROPN
cana-4452	156	3	ℛ0	ℛ0	NOUN
cana-4452	156	4	−	−	PROPN
cana-4452	156	5	1	1	NUM
cana-4452	156	6	ℬ(𝜑	ℬ(𝜑	NUM
cana-4452	156	7	)	)	PUNCT
cana-4452	156	8	(	(	PUNCT
cana-4452	156	9	1	1	NUM
cana-4452	156	10	−	−	NOUN
cana-4452	156	11	𝜑	𝜑	NOUN
cana-4452	156	12	+	+	CCONJ
cana-4452	156	13	𝜑	𝜑	PROPN
cana-4452	156	14	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	156	15	)	)	PUNCT
cana-4452	156	16	ℒ{𝜓ℐ(𝜄	ℒ{𝜓ℐ(𝜄	PROPN
cana-4452	156	17	)	)	PUNCT
cana-4452	156	18	−	−	PROPN
cana-4452	156	19	𝜏ℛ(𝜄	𝜏ℛ(𝜄	NUM
cana-4452	156	20	)	)	PUNCT
cana-4452	156	21	}	}	PUNCT
cana-4452	157	1	=	=	SYM
cana-4452	157	2	0	0	NUM
cana-4452	157	3	,	,	PUNCT
cana-4452	157	4	ℒ{𝒩(𝜄	ℒ{𝒩(𝜄	NOUN
cana-4452	157	5	)	)	PUNCT
cana-4452	157	6	}	}	PUNCT
cana-4452	157	7	−	−	PROPN
cana-4452	158	1	1	1	NUM
cana-4452	158	2	𝑠	𝑠	X
cana-4452	158	3	𝒩0	𝒩0	NOUN
cana-4452	159	1	−	−	PROPN
cana-4452	159	2	1	1	NUM
cana-4452	159	3	ℬ(𝜑	ℬ(𝜑	NUM
cana-4452	159	4	)	)	PUNCT
cana-4452	159	5	(	(	PUNCT
cana-4452	159	6	1	1	NUM
cana-4452	159	7	−	−	NOUN
cana-4452	159	8	𝜑	𝜑	NOUN
cana-4452	160	1	+	+	CCONJ
cana-4452	160	2	𝜑	𝜑	PROPN
cana-4452	160	3	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	160	4	)	)	PUNCT
cana-4452	160	5	ℒ{𝜃𝒩(𝜄	ℒ{𝜃𝒩(𝜄	PROPN
cana-4452	160	6	)	)	PUNCT
cana-4452	160	7	−	−	PROPN
cana-4452	160	8	𝛿ℐ(𝜄	𝛿ℐ(𝜄	NUM
cana-4452	160	9	)	)	PUNCT
cana-4452	161	1	−	−	PROPN
cana-4452	161	2	𝜏𝒩(𝜄	𝜏𝒩(𝜄	NOUN
cana-4452	161	3	)	)	PUNCT
cana-4452	161	4	}	}	PUNCT
cana-4452	162	1	=	=	SYM
cana-4452	162	2	0	0	X
cana-4452	162	3	.	.	PUNCT
cana-4452	163	1	(	(	PUNCT
cana-4452	163	2	26	26	NUM
cana-4452	163	3	)	)	PUNCT
cana-4452	163	4	communications	communication	NOUN
cana-4452	163	5	on	on	ADP
cana-4452	163	6	applied	apply	VERB
cana-4452	163	7	nonlinear	nonlinear	ADJ
cana-4452	163	8	analysis	analysis	NOUN
cana-4452	163	9	issn	issn	NOUN
cana-4452	163	10	:	:	PUNCT
cana-4452	163	11	1074	1074	NUM
cana-4452	163	12	-	-	PUNCT
cana-4452	163	13	133x	133x	NUM
cana-4452	163	14	vol	vol	NOUN
cana-4452	163	15	32	32	NUM
cana-4452	163	16	no	no	NOUN
cana-4452	163	17	.	.	PUNCT
cana-4452	164	1	9s	9s	NUM
cana-4452	164	2	(	(	PUNCT
cana-4452	164	3	2025	2025	NUM
cana-4452	164	4	)	)	PUNCT
cana-4452	164	5	2121	2121	NUM
cana-4452	164	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	165	1	next	next	ADV
cana-4452	165	2	taking	take	VERB
cana-4452	165	3	non	non	ADJ
cana-4452	165	4	-	-	ADJ
cana-4452	165	5	linear	linear	ADJ
cana-4452	165	6	operator	operator	NOUN
cana-4452	165	7	to	to	ADP
cana-4452	165	8	(	(	PUNCT
cana-4452	165	9	26	26	NUM
cana-4452	165	10	)	)	PUNCT
cana-4452	165	11	we	we	PRON
cana-4452	165	12	get	get	VERB
cana-4452	165	13	,	,	PUNCT
cana-4452	165	14	𝒩1[𝜗1	𝒩1[𝜗1	NUM
cana-4452	165	15	,	,	PUNCT
cana-4452	165	16	𝜗2	𝜗2	PROPN
cana-4452	165	17	,	,	PUNCT
cana-4452	165	18	𝜗3	𝜗3	ADJ
cana-4452	165	19	,	,	PUNCT
cana-4452	165	20	𝜗4	𝜗4	NOUN
cana-4452	165	21	]	]	X
cana-4452	165	22	=	=	SYM
cana-4452	165	23	ℒ{𝜗1(𝜄	ℒ{𝜗1(𝜄	PROPN
cana-4452	165	24	;	;	PUNCT
cana-4452	165	25	𝑞	𝑞	NOUN
cana-4452	165	26	)	)	PUNCT
cana-4452	165	27	}	}	PUNCT
cana-4452	165	28	−	−	PROPN
cana-4452	166	1	1	1	NUM
cana-4452	166	2	𝑠	𝑠	INTJ
cana-4452	166	3	𝒮0	𝒮0	NOUN
cana-4452	166	4	−	−	PROPN
cana-4452	166	5	1	1	NUM
cana-4452	166	6	ℬ(𝜑	ℬ(𝜑	NUM
cana-4452	166	7	)	)	PUNCT
cana-4452	166	8	(	(	PUNCT
cana-4452	166	9	1	1	NUM
cana-4452	166	10	−	−	NOUN
cana-4452	166	11	∅	∅	NOUN
cana-4452	166	12	+	+	CCONJ
cana-4452	166	13	𝜑	𝜑	PROPN
cana-4452	166	14	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	166	15	)	)	PUNCT
cana-4452	166	16	×	×	PROPN
cana-4452	166	17	ℒ{𝜃𝜗4(𝜄	ℒ{𝜃𝜗4(𝜄	NOUN
cana-4452	166	18	;	;	PUNCT
cana-4452	166	19	𝑞	𝑞	X
cana-4452	166	20	)	)	PUNCT
cana-4452	166	21	−	−	PROPN
cana-4452	166	22	𝛽𝜗1(𝜄	𝛽𝜗1(𝜄	NOUN
cana-4452	166	23	;	;	PUNCT
cana-4452	166	24	𝑞)𝜗2(𝜄	𝑞)𝜗2(𝜄	PROPN
cana-4452	166	25	;	;	PUNCT
cana-4452	166	26	𝑞	𝑞	X
cana-4452	166	27	)	)	PUNCT
cana-4452	166	28	−	−	PROPN
cana-4452	167	1	𝜏𝜗1(𝜄	𝜏𝜗1(𝜄	PROPN
cana-4452	167	2	;	;	PUNCT
cana-4452	167	3	𝑞	𝑞	NOUN
cana-4452	167	4	)	)	PUNCT
cana-4452	167	5	}	}	PUNCT
cana-4452	167	6	,	,	PUNCT
cana-4452	167	7	𝒩2[𝜗1	𝒩2[𝜗1	NUM
cana-4452	167	8	,	,	PUNCT
cana-4452	167	9	𝜗2	𝜗2	PROPN
cana-4452	167	10	,	,	PUNCT
cana-4452	167	11	𝜗3	𝜗3	ADJ
cana-4452	167	12	,	,	PUNCT
cana-4452	167	13	𝜗4	𝜗4	NOUN
cana-4452	167	14	]	]	X
cana-4452	167	15	=	=	SYM
cana-4452	167	16	ℒ{𝜗2(𝜄	ℒ{𝜗2(𝜄	PROPN
cana-4452	167	17	;	;	PUNCT
cana-4452	167	18	𝑞	𝑞	NOUN
cana-4452	167	19	)	)	PUNCT
cana-4452	167	20	}	}	PUNCT
cana-4452	167	21	−	−	PROPN
cana-4452	167	22	1	1	NUM
cana-4452	167	23	𝑠	𝑠	INTJ
cana-4452	167	24	ℐ0	ℐ0	NOUN
cana-4452	167	25	−	−	PROPN
cana-4452	167	26	1	1	NUM
cana-4452	167	27	ℬ(∅	ℬ(∅	PROPN
cana-4452	167	28	)	)	PUNCT
cana-4452	167	29	(	(	PUNCT
cana-4452	167	30	1	1	NUM
cana-4452	167	31	−	−	NOUN
cana-4452	167	32	℘	℘	NOUN
cana-4452	167	33	+	+	CCONJ
cana-4452	167	34	℘	℘	PROPN
cana-4452	167	35	𝑠𝑝	𝑠𝑝	NOUN
cana-4452	167	36	)	)	PUNCT
cana-4452	167	37	×	×	PROPN
cana-4452	167	38	ℒ{𝛽𝜗1(𝜄	ℒ{𝛽𝜗1(𝜄	PROPN
cana-4452	167	39	;	;	PUNCT
cana-4452	167	40	𝑞)𝜗2(𝜄	𝑞)𝜗2(𝜄	PROPN
cana-4452	167	41	;	;	PUNCT
cana-4452	167	42	𝑞	𝑞	NOUN
cana-4452	167	43	)	)	PUNCT
cana-4452	167	44	−	−	PROPN
cana-4452	168	1	(	(	PUNCT
cana-4452	168	2	𝜓	𝜓	PROPN
cana-4452	168	3	+	+	CCONJ
cana-4452	168	4	𝜏	𝜏	PROPN
cana-4452	168	5	+	+	SYM
cana-4452	168	6	𝛿)𝜗2(𝜄	𝛿)𝜗2(𝜄	PROPN
cana-4452	168	7	;	;	PUNCT
cana-4452	168	8	𝑞	𝑞	X
cana-4452	168	9	)	)	PUNCT
cana-4452	168	10	}	}	PUNCT
cana-4452	168	11	,	,	PUNCT
cana-4452	168	12	𝒩3[𝜗1	𝒩3[𝜗1	NOUN
cana-4452	168	13	,	,	PUNCT
cana-4452	168	14	𝜗2	𝜗2	PROPN
cana-4452	168	15	,	,	PUNCT
cana-4452	168	16	𝜗3	𝜗3	ADJ
cana-4452	168	17	,	,	PUNCT
cana-4452	168	18	𝜗4	𝜗4	NOUN
cana-4452	168	19	]	]	X
cana-4452	168	20	=	=	SYM
cana-4452	168	21	ℒ{𝜗3(𝜄	ℒ{𝜗3(𝜄	PROPN
cana-4452	168	22	;	;	PUNCT
cana-4452	168	23	𝑞	𝑞	NOUN
cana-4452	168	24	)	)	PUNCT
cana-4452	168	25	}	}	PUNCT
cana-4452	168	26	−	−	PROPN
cana-4452	169	1	1	1	NUM
cana-4452	169	2	𝑠	𝑠	PROPN
cana-4452	169	3	ℛ0	ℛ0	NOUN
cana-4452	169	4	−	−	PROPN
cana-4452	169	5	1	1	NUM
cana-4452	169	6	ℬ(℘	ℬ(℘	PROPN
cana-4452	169	7	)	)	PUNCT
cana-4452	169	8	(	(	PUNCT
cana-4452	169	9	1	1	NUM
cana-4452	169	10	−	−	NOUN
cana-4452	169	11	℘	℘	NOUN
cana-4452	169	12	+	+	CCONJ
cana-4452	169	13	℘	℘	NOUN
cana-4452	169	14	𝑠℘	𝑠℘	NUM
cana-4452	169	15	)	)	PUNCT
cana-4452	169	16	×	×	PROPN
cana-4452	169	17	ℒ{𝜓𝜗2(𝜄	ℒ{𝜓𝜗2(𝜄	PROPN
cana-4452	169	18	;	;	PUNCT
cana-4452	169	19	𝑞	𝑞	NOUN
cana-4452	169	20	)	)	PUNCT
cana-4452	169	21	−	−	PROPN
cana-4452	169	22	𝜏𝜗3(𝜄	𝜏𝜗3(𝜄	PROPN
cana-4452	169	23	;	;	PUNCT
cana-4452	169	24	𝑞	𝑞	NOUN
cana-4452	169	25	)	)	PUNCT
cana-4452	169	26	}	}	PUNCT
cana-4452	169	27	𝒩4[𝜗1	𝒩4[𝜗1	PROPN
cana-4452	169	28	,	,	PUNCT
cana-4452	169	29	𝜗2	𝜗2	PROPN
cana-4452	169	30	,	,	PUNCT
cana-4452	169	31	𝜗3	𝜗3	ADJ
cana-4452	169	32	,	,	PUNCT
cana-4452	169	33	𝜗4	𝜗4	NOUN
cana-4452	169	34	]	]	X
cana-4452	169	35	=	=	SYM
cana-4452	169	36	ℒ{𝜗4(𝜄	ℒ{𝜗4(𝜄	PROPN
cana-4452	169	37	;	;	PUNCT
cana-4452	169	38	𝑞	𝑞	NOUN
cana-4452	169	39	)	)	PUNCT
cana-4452	169	40	}	}	PUNCT
cana-4452	169	41	−	−	PROPN
cana-4452	170	1	1	1	NUM
cana-4452	170	2	𝑠	𝑠	X
cana-4452	170	3	𝒩0	𝒩0	NOUN
cana-4452	170	4	−	−	PROPN
cana-4452	170	5	1	1	NUM
cana-4452	170	6	ℬ(℘	ℬ(℘	PROPN
cana-4452	170	7	)	)	PUNCT
cana-4452	170	8	(	(	PUNCT
cana-4452	170	9	1	1	NUM
cana-4452	170	10	−	−	NOUN
cana-4452	170	11	℘	℘	NOUN
cana-4452	170	12	+	+	CCONJ
cana-4452	170	13	℘	℘	NOUN
cana-4452	170	14	𝑠℘	𝑠℘	NUM
cana-4452	170	15	)	)	PUNCT
cana-4452	170	16	×	×	PROPN
cana-4452	170	17	ℒ{𝜃𝜗4(𝜄	ℒ{𝜃𝜗4(𝜄	NOUN
cana-4452	170	18	;	;	PUNCT
cana-4452	170	19	𝑞	𝑞	X
cana-4452	170	20	)	)	PUNCT
cana-4452	170	21	−	−	PROPN
cana-4452	170	22	𝛿𝜗2(𝜄	𝛿𝜗2(𝜄	PROPN
cana-4452	170	23	;	;	PUNCT
cana-4452	170	24	𝑞	𝑞	X
cana-4452	170	25	)	)	PUNCT
cana-4452	170	26	−	−	PROPN
cana-4452	171	1	𝜏𝜗4(𝜄	𝜏𝜗4(𝜄	PROPN
cana-4452	171	2	;	;	PUNCT
cana-4452	171	3	𝑞	𝑞	NOUN
cana-4452	171	4	)	)	PUNCT
cana-4452	171	5	}	}	PUNCT
cana-4452	171	6	.	.	PUNCT
cana-4452	172	1	(	(	PUNCT
cana-4452	172	2	27	27	NUM
cana-4452	172	3	)	)	PUNCT
cana-4452	172	4	for	for	ADP
cana-4452	172	5	ℋ(𝑥	ℋ(𝑥	NUM
cana-4452	172	6	,	,	PUNCT
cana-4452	172	7	𝜄	𝜄	NOUN
cana-4452	172	8	)	)	PUNCT
cana-4452	172	9	=	=	SYM
cana-4452	173	1	1	1	NUM
cana-4452	173	2	the	the	DET
cana-4452	173	3	𝑟th	𝑟th	ADJ
cana-4452	173	4	order	order	NOUN
cana-4452	173	5	deformation	deformation	NOUN
cana-4452	173	6	equation	equation	NOUN
cana-4452	173	7	is	be	AUX
cana-4452	173	8	presented	present	VERB
cana-4452	173	9	as	as	ADP
cana-4452	173	10	ℒ[𝒮𝑟(𝜄	ℒ[𝒮𝑟(𝜄	NOUN
cana-4452	173	11	)	)	PUNCT
cana-4452	173	12	−	−	PROPN
cana-4452	174	1	𝐾𝑟𝒮𝑟−1(𝜄	𝐾𝑟𝒮𝑟−1(𝜄	NUM
cana-4452	174	2	)	)	PUNCT
cana-4452	174	3	]	]	PUNCT
cana-4452	174	4	=	=	SYM
cana-4452	174	5	𝔥ℜ1,𝑟[𝒮𝑟−1	𝔥ℜ1,𝑟[𝒮𝑟−1	PROPN
cana-4452	174	6	,	,	PUNCT
cana-4452	174	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	PRON
cana-4452	174	8	,	,	PUNCT
cana-4452	174	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	174	10	,	,	PUNCT
cana-4452	174	11	�	�	PROPN
cana-4452	174	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	174	13	�	�	PROPN
cana-4452	174	14	𝑟−1	𝑟−1	PROPN
cana-4452	174	15	]	]	PUNCT
cana-4452	174	16	,	,	PUNCT
cana-4452	174	17	ℒ[ℐ𝑟(𝜄	ℒ[ℐ𝑟(𝜄	NOUN
cana-4452	174	18	)	)	PUNCT
cana-4452	174	19	−	−	NOUN
cana-4452	175	1	𝐾𝑟ℐ𝑟−1(𝜄	𝐾𝑟ℐ𝑟−1(𝜄	NOUN
cana-4452	175	2	)	)	PUNCT
cana-4452	175	3	]	]	PUNCT
cana-4452	175	4	=	=	SYM
cana-4452	175	5	𝔥ℜ3,𝑟[𝒮𝑟−1	𝔥ℜ3,𝑟[𝒮𝑟−1	PROPN
cana-4452	175	6	,	,	PUNCT
cana-4452	175	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	175	8	,	,	PUNCT
cana-4452	175	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	175	10	,	,	PUNCT
cana-4452	175	11	�	�	PROPN
cana-4452	175	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	175	13	�	�	PROPN
cana-4452	175	14	𝑟−1	𝑟−1	PROPN
cana-4452	175	15	]	]	PUNCT
cana-4452	175	16	,	,	PUNCT
cana-4452	175	17	ℒ[𝑅𝑟(𝜄	ℒ[𝑅𝑟(𝜄	NOUN
cana-4452	175	18	)	)	PUNCT
cana-4452	175	19	−	−	PROPN
cana-4452	176	1	𝐾𝑟𝑅𝑟−1(𝜄	𝐾𝑟𝑅𝑟−1(𝜄	NUM
cana-4452	176	2	)	)	PUNCT
cana-4452	176	3	]	]	PUNCT
cana-4452	176	4	=	=	SYM
cana-4452	176	5	𝔥ℜ1,𝑟[𝒮𝑟−1	𝔥ℜ1,𝑟[𝒮𝑟−1	PROPN
cana-4452	176	6	,	,	PUNCT
cana-4452	176	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	PRON
cana-4452	176	8	,	,	PUNCT
cana-4452	176	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	176	10	,	,	PUNCT
cana-4452	176	11	�	�	PROPN
cana-4452	176	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	176	13	�	�	PROPN
cana-4452	176	14	𝑟−1	𝑟−1	PROPN
cana-4452	176	15	]	]	PUNCT
cana-4452	176	16	,	,	PUNCT
cana-4452	176	17	ℒ[𝑁𝑟(𝜄	ℒ[𝑁𝑟(𝜄	NOUN
cana-4452	176	18	)	)	PUNCT
cana-4452	176	19	−	−	NOUN
cana-4452	177	1	𝐾𝑟𝑁𝑟−1(𝜄	𝐾𝑟𝑁𝑟−1(𝜄	NUM
cana-4452	177	2	)	)	PUNCT
cana-4452	177	3	]	]	PUNCT
cana-4452	177	4	=	=	SYM
cana-4452	177	5	𝔥ℜ3,𝑟[𝒮𝑟−1	𝔥ℜ3,𝑟[𝒮𝑟−1	PROPN
cana-4452	177	6	,	,	PUNCT
cana-4452	177	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	177	8	,	,	PUNCT
cana-4452	177	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	177	10	,	,	PUNCT
cana-4452	177	11	�	�	PROPN
cana-4452	177	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	177	13	�	�	PROPN
cana-4452	177	14	𝑟−1	𝑟−1	PROPN
cana-4452	177	15	]	]	PUNCT
cana-4452	177	16	,	,	PUNCT
cana-4452	177	17	(	(	PUNCT
cana-4452	177	18	28	28	NUM
cana-4452	177	19	)	)	PUNCT
cana-4452	177	20	ℒ[ℛ𝑟(𝜄	ℒ[ℛ𝑟(𝜄	ADV
cana-4452	177	21	)	)	PUNCT
cana-4452	177	22	−	−	PROPN
cana-4452	178	1	𝐾𝑟ℛ𝑟−1(𝜄	𝐾𝑟ℛ𝑟−1(𝜄	NOUN
cana-4452	178	2	)	)	PUNCT
cana-4452	178	3	]	]	PUNCT
cana-4452	179	1	=	=	PUNCT
cana-4452	179	2	𝔥ℜ4,𝑟[𝒮𝑟−1	𝔥ℜ4,𝑟[𝒮𝑟−1	PROPN
cana-4452	179	3	,	,	PUNCT
cana-4452	179	4	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	179	5	,	,	PUNCT
cana-4452	179	6	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	179	7	,	,	PUNCT
cana-4452	179	8	�	�	PROPN
cana-4452	179	9	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	179	10	�	�	PROPN
cana-4452	179	11	𝑟−1	𝑟−1	PROPN
cana-4452	179	12	]	]	PUNCT
cana-4452	179	13	ℒ[𝒩𝑟(𝜄	ℒ[𝒩𝑟(𝜄	PRON
cana-4452	179	14	)	)	PUNCT
cana-4452	179	15	−	−	PROPN
cana-4452	179	16	𝐾𝑟𝒩𝑟−1(𝜄	𝐾𝑟𝒩𝑟−1(𝜄	PROPN
cana-4452	179	17	)	)	PUNCT
cana-4452	179	18	]	]	PUNCT
cana-4452	179	19	=	=	SYM
cana-4452	179	20	𝔥ℜ5,𝑟[𝒮𝑟−1	𝔥ℜ5,𝑟[𝒮𝑟−1	PROPN
cana-4452	179	21	,	,	PUNCT
cana-4452	179	22	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	179	23	,	,	PUNCT
cana-4452	179	24	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	179	25	,	,	PUNCT
cana-4452	179	26	�	�	PROPN
cana-4452	179	27	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	179	28	�	�	PROPN
cana-4452	179	29	𝑟−1	𝑟−1	PROPN
cana-4452	179	30	]	]	PUNCT
cana-4452	179	31	where	where	SCONJ
cana-4452	179	32	,	,	PUNCT
cana-4452	179	33	ℜ1,𝑟[𝒮𝑟−1	ℜ1,𝑟[𝒮𝑟−1	ADV
cana-4452	179	34	,	,	PUNCT
cana-4452	179	35	ℐ⃗𝑟−1	ℐ⃗𝑟−1	X
cana-4452	179	36	,	,	PUNCT
cana-4452	179	37	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	179	38	,	,	PUNCT
cana-4452	179	39	�	�	PROPN
cana-4452	179	40	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	179	41	�	�	NOUN
cana-4452	179	42	𝑟−1	𝑟−1	PROPN
cana-4452	179	43	]	]	X
cana-4452	179	44	=	=	SYM
cana-4452	179	45	ℒ{𝒮𝑟−1(𝜄	ℒ{𝒮𝑟−1(𝜄	NOUN
cana-4452	179	46	)	)	PUNCT
cana-4452	179	47	}	}	PUNCT
cana-4452	179	48	−	−	PROPN
cana-4452	179	49	(	(	PUNCT
cana-4452	179	50	1	1	NUM
cana-4452	179	51	−	−	NOUN
cana-4452	179	52	𝐾𝑟	𝐾𝑟	PROPN
cana-4452	179	53	n	n	CCONJ
cana-4452	179	54	)	)	PUNCT
cana-4452	179	55	𝒮0	𝒮0	NOUN
cana-4452	180	1	𝑠	𝑠	INTJ
cana-4452	180	2	−	−	PROPN
cana-4452	180	3	1	1	NUM
cana-4452	180	4	ℬ(℘	ℬ(℘	PROPN
cana-4452	180	5	)	)	PUNCT
cana-4452	180	6	(	(	PUNCT
cana-4452	180	7	1	1	NUM
cana-4452	180	8	−	−	NOUN
cana-4452	180	9	℘	℘	NOUN
cana-4452	180	10	+	+	CCONJ
cana-4452	180	11	℘	℘	NOUN
cana-4452	180	12	𝑠℘	𝑠℘	NUM
cana-4452	180	13	)	)	PUNCT
cana-4452	180	14	×	×	PROPN
cana-4452	180	15	ℒ	ℒ	NOUN
cana-4452	180	16	{	{	PUNCT
cana-4452	180	17	𝜃𝒩𝑟−1(𝜄	𝜃𝒩𝑟−1(𝜄	NUM
cana-4452	180	18	)	)	PUNCT
cana-4452	180	19	−	−	PROPN
cana-4452	181	1	𝛽∑	𝛽∑	ADJ
cana-4452	181	2	  	  	SPACE
cana-4452	181	3	𝑟−1	𝑟−1	PROPN
cana-4452	181	4	𝑖=0	𝑖=0	PROPN
cana-4452	181	5	  	  	SPACE
cana-4452	181	6	𝒮𝑖(𝜄)ℐ𝑟−1−𝑖(𝜄	𝒮𝑖(𝜄)ℐ𝑟−1−𝑖(𝜄	PROPN
cana-4452	181	7	)	)	PUNCT
cana-4452	182	1	−	−	ADP
cana-4452	182	2	𝜏𝒮𝑟−1(𝜄	𝜏𝒮𝑟−1(𝜄	NUM
cana-4452	182	3	)	)	PUNCT
cana-4452	182	4	}	}	PUNCT
cana-4452	182	5	,	,	PUNCT
cana-4452	182	6	ℜ2,𝑟[𝒮𝑟−1	ℜ2,𝑟[𝒮𝑟−1	PROPN
cana-4452	182	7	,	,	PUNCT
cana-4452	182	8	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	182	9	,	,	PUNCT
cana-4452	182	10	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	182	11	,	,	PUNCT
cana-4452	182	12	�	�	PROPN
cana-4452	182	13	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	182	14	�	�	NOUN
cana-4452	182	15	𝑟−1	𝑟−1	PROPN
cana-4452	182	16	]	]	X
cana-4452	182	17	=	=	SYM
cana-4452	182	18	ℒ{ℐ𝑟−1(𝜄	ℒ{ℐ𝑟−1(𝜄	NOUN
cana-4452	182	19	)	)	PUNCT
cana-4452	182	20	}	}	PUNCT
cana-4452	182	21	−	−	PROPN
cana-4452	183	1	(	(	PUNCT
cana-4452	183	2	1	1	NUM
cana-4452	183	3	−	−	NOUN
cana-4452	183	4	𝐾𝑟	𝐾𝑟	PROPN
cana-4452	183	5	n	n	ADJ
cana-4452	183	6	)	)	PUNCT
cana-4452	183	7	ℐ0	ℐ0	PROPN
cana-4452	184	1	𝑠	𝑠	NOUN
cana-4452	184	2	−	−	PROPN
cana-4452	184	3	1	1	NUM
cana-4452	184	4	ℬ(℘	ℬ(℘	PROPN
cana-4452	184	5	)	)	PUNCT
cana-4452	184	6	(	(	PUNCT
cana-4452	184	7	1	1	NUM
cana-4452	184	8	−	−	NOUN
cana-4452	184	9	℘	℘	PROPN
cana-4452	184	10	+	+	CCONJ
cana-4452	184	11	𝜑	𝜑	PROPN
cana-4452	184	12	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	184	13	)	)	PUNCT
cana-4452	184	14	×	×	PROPN
cana-4452	184	15	ℒ	ℒ	PROPN
cana-4452	184	16	{	{	PUNCT
cana-4452	184	17	𝛽∑	𝛽∑	PROPN
cana-4452	184	18	  	  	SPACE
cana-4452	184	19	𝑟−1	𝑟−1	PROPN
cana-4452	184	20	𝑖=0	𝑖=0	PROPN
cana-4452	184	21	 	 	SPACE
cana-4452	184	22	𝒮𝑖(𝜄)ℐ𝑟−1−𝑖(𝜄	𝒮𝑖(𝜄)ℐ𝑟−1−𝑖(𝜄	PROPN
cana-4452	184	23	)	)	PUNCT
cana-4452	184	24	−	−	PROPN
cana-4452	185	1	(	(	PUNCT
cana-4452	185	2	𝜓	𝜓	PROPN
cana-4452	185	3	+	+	CCONJ
cana-4452	185	4	𝜏	𝜏	NOUN
cana-4452	185	5	+	+	CCONJ
cana-4452	185	6	𝛿	𝛿	ADJ
cana-4452	185	7	)	)	PUNCT
cana-4452	185	8	)	)	PUNCT
cana-4452	186	1	ℐ𝑟−1(𝜄	ℐ𝑟−1(𝜄	X
cana-4452	186	2	)	)	PUNCT
cana-4452	186	3	}	}	PUNCT
cana-4452	186	4	,	,	PUNCT
cana-4452	186	5	ℜ3,𝑟[𝒮𝑟−1	ℜ3,𝑟[𝒮𝑟−1	PROPN
cana-4452	186	6	,	,	PUNCT
cana-4452	186	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	186	8	,	,	PUNCT
cana-4452	186	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	186	10	,	,	PUNCT
cana-4452	186	11	�	�	PROPN
cana-4452	186	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	186	13	�	�	NOUN
cana-4452	186	14	𝑟−1	𝑟−1	PROPN
cana-4452	186	15	]	]	X
cana-4452	186	16	=	=	SYM
cana-4452	186	17	ℒ{ℛ𝑟−1(𝜄	ℒ{ℛ𝑟−1(𝜄	NOUN
cana-4452	186	18	)	)	PUNCT
cana-4452	186	19	}	}	PUNCT
cana-4452	186	20	−	−	PROPN
cana-4452	187	1	(	(	PUNCT
cana-4452	187	2	1	1	NUM
cana-4452	187	3	−	−	NOUN
cana-4452	187	4	𝐾𝑟	𝐾𝑟	PROPN
cana-4452	187	5	n	n	ADJ
cana-4452	187	6	)	)	PUNCT
cana-4452	187	7	ℛ0	ℛ0	NOUN
cana-4452	188	1	𝑠	𝑠	INTJ
cana-4452	188	2	−	−	PROPN
cana-4452	188	3	1	1	NUM
cana-4452	188	4	ℬ(℘	ℬ(℘	PROPN
cana-4452	188	5	)	)	PUNCT
cana-4452	188	6	(	(	PUNCT
cana-4452	188	7	1	1	NUM
cana-4452	188	8	−	−	NOUN
cana-4452	188	9	℘	℘	PROPN
cana-4452	188	10	+	+	CCONJ
cana-4452	188	11	℘	℘	PROPN
cana-4452	188	12	𝑠𝜑	𝑠𝜑	PROPN
cana-4452	188	13	)	)	PUNCT
cana-4452	188	14	×	×	PROPN
cana-4452	188	15	ℒ{𝜓ℐ𝑟−1(𝜄	ℒ{𝜓ℐ𝑟−1(𝜄	PROPN
cana-4452	188	16	)	)	PUNCT
cana-4452	188	17	−	−	NUM
cana-4452	189	1	𝜏ℛ𝑟−1(𝜄	𝜏ℛ𝑟−1(𝜄	NOUN
cana-4452	189	2	)	)	PUNCT
cana-4452	189	3	}	}	PUNCT
cana-4452	189	4	,	,	PUNCT
cana-4452	189	5	ℜ4,𝑟[𝒮𝑟−1	ℜ4,𝑟[𝒮𝑟−1	PROPN
cana-4452	189	6	,	,	PUNCT
cana-4452	189	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	189	8	,	,	PUNCT
cana-4452	189	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	189	10	,	,	PUNCT
cana-4452	189	11	�	�	PROPN
cana-4452	189	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	189	13	�	�	NOUN
cana-4452	189	14	𝑟−1	𝑟−1	PROPN
cana-4452	189	15	]	]	X
cana-4452	189	16	=	=	SYM
cana-4452	189	17	ℒ{𝒩𝑟−1(𝜄	ℒ{𝒩𝑟−1(𝜄	NOUN
cana-4452	189	18	)	)	PUNCT
cana-4452	189	19	}	}	PUNCT
cana-4452	189	20	−	−	PROPN
cana-4452	190	1	(	(	PUNCT
cana-4452	190	2	1	1	NUM
cana-4452	190	3	−	−	NOUN
cana-4452	190	4	𝐾𝑟	𝐾𝑟	PROPN
cana-4452	190	5	n	n	ADJ
cana-4452	190	6	)	)	PUNCT
cana-4452	190	7	𝒩0	𝒩0	PROPN
cana-4452	191	1	𝑠	𝑠	INTJ
cana-4452	191	2	−	−	PROPN
cana-4452	191	3	1	1	NUM
cana-4452	191	4	ℬ(℘	ℬ(℘	PROPN
cana-4452	191	5	)	)	PUNCT
cana-4452	191	6	(	(	PUNCT
cana-4452	191	7	1	1	NUM
cana-4452	191	8	−	−	NOUN
cana-4452	191	9	℘	℘	NOUN
cana-4452	191	10	+	+	CCONJ
cana-4452	191	11	℘	℘	NOUN
cana-4452	191	12	𝑠℘	𝑠℘	NUM
cana-4452	191	13	)	)	PUNCT
cana-4452	191	14	×	×	PROPN
cana-4452	191	15	ℒ{𝜃𝒩𝑟−1(𝜄	ℒ{𝜃𝒩𝑟−1(𝜄	PROPN
cana-4452	191	16	)	)	PUNCT
cana-4452	191	17	−	−	PROPN
cana-4452	192	1	𝛿ℐ𝑟−1(𝜄	𝛿ℐ𝑟−1(𝜄	NUM
cana-4452	192	2	)	)	PUNCT
cana-4452	192	3	−	−	PROPN
cana-4452	192	4	𝜏𝒩𝑟−1(𝜄	𝜏𝒩𝑟−1(𝜄	NUM
cana-4452	192	5	)	)	PUNCT
cana-4452	192	6	}	}	PUNCT
cana-4452	192	7	.	.	PUNCT
cana-4452	193	1	communications	communication	NOUN
cana-4452	193	2	on	on	ADP
cana-4452	193	3	applied	apply	VERB
cana-4452	193	4	nonlinear	nonlinear	ADJ
cana-4452	193	5	analysis	analysis	NOUN
cana-4452	193	6	issn	issn	NOUN
cana-4452	193	7	:	:	PUNCT
cana-4452	193	8	1074	1074	NUM
cana-4452	193	9	-	-	PUNCT
cana-4452	193	10	133x	133x	NUM
cana-4452	193	11	vol	vol	NOUN
cana-4452	193	12	32	32	NUM
cana-4452	193	13	no	no	NOUN
cana-4452	193	14	.	.	PUNCT
cana-4452	194	1	9s	9s	NUM
cana-4452	194	2	(	(	PUNCT
cana-4452	194	3	2025	2025	NUM
cana-4452	194	4	)	)	PUNCT
cana-4452	194	5	2122	2122	NUM
cana-4452	195	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	195	2	taking	take	VERB
cana-4452	195	3	inverse	inverse	NOUN
cana-4452	195	4	lt	lt	NOUN
cana-4452	195	5	on	on	ADP
cana-4452	195	6	both	both	DET
cana-4452	195	7	side	side	NOUN
cana-4452	195	8	of	of	ADP
cana-4452	195	9	(	(	PUNCT
cana-4452	195	10	28	28	NUM
cana-4452	195	11	)	)	PUNCT
cana-4452	195	12	we	we	PRON
cana-4452	195	13	have	have	VERB
cana-4452	195	14	𝒮𝑟(𝜄	𝒮𝑟(𝜄	NOUN
cana-4452	195	15	)	)	PUNCT
cana-4452	195	16	=	=	SYM
cana-4452	195	17	𝐾𝑟𝒮𝑟−1(𝜄	𝐾𝑟𝒮𝑟−1(𝜄	PROPN
cana-4452	195	18	)	)	PUNCT
cana-4452	195	19	+	+	CCONJ
cana-4452	195	20	𝔥ℒ	𝔥ℒ	ADJ
cana-4452	195	21	−1{ℜ1,𝑟[𝒮𝑟−1	−1{ℜ1,𝑟[𝒮𝑟−1	NUM
cana-4452	195	22	,	,	PUNCT
cana-4452	195	23	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	195	24	,	,	PUNCT
cana-4452	195	25	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	195	26	,	,	PUNCT
cana-4452	195	27	�	�	PROPN
cana-4452	195	28	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	195	29	�	�	PROPN
cana-4452	195	30	𝑟−1	𝑟−1	PROPN
cana-4452	195	31	]	]	PUNCT
cana-4452	195	32	}	}	PUNCT
cana-4452	195	33	,	,	PUNCT
cana-4452	195	34	ℐ𝑟(𝜄	ℐ𝑟(𝜄	PROPN
cana-4452	195	35	)	)	PUNCT
cana-4452	195	36	=	=	SYM
cana-4452	196	1	𝐾𝑟ℐ𝑟−1(𝜄	𝐾𝑟ℐ𝑟−1(𝜄	NOUN
cana-4452	196	2	)	)	PUNCT
cana-4452	196	3	+	+	CCONJ
cana-4452	196	4	𝔥ℒ	𝔥ℒ	PROPN
cana-4452	196	5	−1{ℜ3,𝑟[𝒮𝑟−1	−1{ℜ3,𝑟[𝒮𝑟−1	PROPN
cana-4452	196	6	,	,	PUNCT
cana-4452	196	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	X
cana-4452	196	8	,	,	PUNCT
cana-4452	196	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	196	10	,	,	PUNCT
cana-4452	196	11	�	�	PROPN
cana-4452	196	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	196	13	�	�	PROPN
cana-4452	196	14	𝑟−1	𝑟−1	PROPN
cana-4452	196	15	]	]	PUNCT
cana-4452	196	16	}	}	PUNCT
cana-4452	196	17	,	,	PUNCT
cana-4452	196	18	ℛ𝑟(𝜄	ℛ𝑟(𝜄	NOUN
cana-4452	196	19	)	)	PUNCT
cana-4452	196	20	=	=	SYM
cana-4452	197	1	𝐾𝑟ℛ𝑟−1(𝜄	𝐾𝑟ℛ𝑟−1(𝜄	NOUN
cana-4452	197	2	)	)	PUNCT
cana-4452	197	3	+	+	CCONJ
cana-4452	197	4	𝔥ℒ	𝔥ℒ	PROPN
cana-4452	197	5	−1{ℜ4,𝑟[𝒮𝑟−1	−1{ℜ4,𝑟[𝒮𝑟−1	PROPN
cana-4452	197	6	,	,	PUNCT
cana-4452	197	7	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	197	8	,	,	PUNCT
cana-4452	197	9	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	197	10	,	,	PUNCT
cana-4452	197	11	�	�	PROPN
cana-4452	197	12	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	197	13	�	�	PROPN
cana-4452	197	14	𝑟−1	𝑟−1	PROPN
cana-4452	197	15	]	]	PUNCT
cana-4452	197	16	}	}	PUNCT
cana-4452	197	17	,	,	PUNCT
cana-4452	197	18	𝒩𝑟(𝜄	𝒩𝑟(𝜄	X
cana-4452	197	19	)	)	PUNCT
cana-4452	197	20	=	=	SYM
cana-4452	197	21	𝐾𝑟𝒩𝑟−1(𝜄	𝐾𝑟𝒩𝑟−1(𝜄	PROPN
cana-4452	197	22	)	)	PUNCT
cana-4452	197	23	+	+	CCONJ
cana-4452	197	24	𝔥ℒ	𝔥ℒ	ADJ
cana-4452	197	25	−1{ℜ5,𝑟[𝒮𝑟−1	−1{ℜ5,𝑟[𝒮𝑟−1	NOUN
cana-4452	197	26	,	,	PUNCT
cana-4452	197	27	ℐ⃗𝑟−1	ℐ⃗𝑟−1	NUM
cana-4452	197	28	,	,	PUNCT
cana-4452	197	29	ℛ⃗⃗𝑟−1	ℛ⃗⃗𝑟−1	PROPN
cana-4452	197	30	,	,	PUNCT
cana-4452	197	31	�	�	PROPN
cana-4452	197	32	⃗⃗⃗	⃗⃗⃗	PROPN
cana-4452	197	33	�	�	PROPN
cana-4452	197	34	𝑟−1	𝑟−1	PROPN
cana-4452	197	35	]	]	PUNCT
cana-4452	197	36	}	}	PUNCT
cana-4452	197	37	.	.	PUNCT
cana-4452	198	1	(	(	PUNCT
cana-4452	198	2	29	29	NUM
cana-4452	198	3	)	)	PUNCT
cana-4452	198	4	on	on	ADP
cana-4452	198	5	solving	solve	VERB
cana-4452	198	6	the	the	DET
cana-4452	198	7	system	system	NOUN
cana-4452	198	8	(	(	PUNCT
cana-4452	198	9	29	29	NUM
cana-4452	198	10	)	)	PUNCT
cana-4452	198	11	,	,	PUNCT
cana-4452	198	12	we	we	PRON
cana-4452	198	13	get	get	VERB
cana-4452	198	14	𝒮0(𝜄	𝒮0(𝜄	SYM
cana-4452	198	15	)	)	PUNCT
cana-4452	199	1	=	=	SYM
cana-4452	199	2	0.90	0.90	NUM
cana-4452	199	3	ℐ0(𝜄	ℐ0(𝜄	PROPN
cana-4452	199	4	)	)	PUNCT
cana-4452	199	5	=	=	SYM
cana-4452	199	6	0.05	0.05	NUM
cana-4452	199	7	,	,	PUNCT
cana-4452	199	8	ℛ0(𝜄	ℛ0(𝜄	NUM
cana-4452	199	9	)	)	PUNCT
cana-4452	199	10	=	=	SYM
cana-4452	199	11	0.05	0.05	NUM
cana-4452	199	12	,	,	PUNCT
cana-4452	199	13	𝒩0(𝜄	𝒩0(𝜄	NOUN
cana-4452	199	14	)	)	PUNCT
cana-4452	199	15	=	=	SYM
cana-4452	199	16	1.00	1.00	NUM
cana-4452	199	17	,	,	PUNCT
cana-4452	199	18	𝒮1(𝜄	𝒮1(𝜄	PROPN
cana-4452	199	19	)	)	PUNCT
cana-4452	199	20	=	=	SYM
cana-4452	199	21	0.005550𝔥	0.005550𝔥	NUM
cana-4452	199	22	ℬ(℘	ℬ(℘	PROPN
cana-4452	199	23	)	)	PUNCT
cana-4452	199	24	{	{	PUNCT
cana-4452	199	25	1	1	NUM
cana-4452	199	26	−	−	PRON
cana-4452	199	27	℘	℘	PROPN
cana-4452	199	28	+	+	CCONJ
cana-4452	199	29	℘𝑡℘	℘𝑡℘	PROPN
cana-4452	199	30	γ(℘	γ(℘	X
cana-4452	199	31	+	+	NOUN
cana-4452	199	32	1	1	NUM
cana-4452	199	33	)	)	PUNCT
cana-4452	199	34	}	}	PUNCT
cana-4452	199	35	,	,	PUNCT
cana-4452	199	36	ℐ1(𝜄	ℐ1(𝜄	PROPN
cana-4452	199	37	)	)	PUNCT
cana-4452	199	38	=	=	PUNCT
cana-4452	199	39	−0.032900𝔥	−0.032900𝔥	X
cana-4452	199	40	ℬ(℘	ℬ(℘	PROPN
cana-4452	199	41	)	)	PUNCT
cana-4452	199	42	{	{	PUNCT
cana-4452	199	43	1	1	NUM
cana-4452	199	44	−	−	PRON
cana-4452	199	45	℘	℘	PROPN
cana-4452	199	46	+	+	CCONJ
cana-4452	199	47	℘𝑡℘	℘𝑡℘	PROPN
cana-4452	199	48	γ(℘	γ(℘	X
cana-4452	199	49	+	+	NOUN
cana-4452	199	50	1	1	NUM
cana-4452	199	51	)	)	PUNCT
cana-4452	199	52	}	}	PUNCT
cana-4452	199	53	,	,	PUNCT
cana-4452	199	54	ℛ1(𝜄	ℛ1(𝜄	NUM
cana-4452	199	55	)	)	PUNCT
cana-4452	199	56	=	=	PUNCT
cana-4452	200	1	−0.00015𝔥	−0.00015𝔥	NOUN
cana-4452	200	2	ℬ(℘	ℬ(℘	PROPN
cana-4452	200	3	)	)	PUNCT
cana-4452	200	4	{	{	PUNCT
cana-4452	200	5	1	1	NUM
cana-4452	200	6	−	−	PRON
cana-4452	200	7	℘	℘	PROPN
cana-4452	200	8	+	+	CCONJ
cana-4452	200	9	℘𝑡℘	℘𝑡℘	PROPN
cana-4452	200	10	γ(℘	γ(℘	X
cana-4452	200	11	+	+	NOUN
cana-4452	200	12	1	1	NUM
cana-4452	200	13	)	)	PUNCT
cana-4452	200	14	}	}	PUNCT
cana-4452	200	15	,	,	PUNCT
cana-4452	200	16	𝒩1(𝜄	𝒩1(𝜄	ADJ
cana-4452	200	17	)	)	PUNCT
cana-4452	200	18	=	=	SYM
cana-4452	200	19	−0.02750𝔥	−0.02750𝔥	NUM
cana-4452	200	20	ℬ(℘	ℬ(℘	NOUN
cana-4452	200	21	)	)	PUNCT
cana-4452	200	22	{	{	PUNCT
cana-4452	200	23	1	1	NUM
cana-4452	200	24	−	−	PRON
cana-4452	200	25	℘	℘	PROPN
cana-4452	200	26	+	+	CCONJ
cana-4452	200	27	℘𝑡℘	℘𝑡℘	PROPN
cana-4452	200	28	γ(℘	γ(℘	X
cana-4452	200	29	+	+	NOUN
cana-4452	200	30	1	1	NUM
cana-4452	200	31	)	)	PUNCT
cana-4452	200	32	}	}	PUNCT
cana-4452	200	33	,	,	PUNCT
cana-4452	200	34	𝒮2(𝜄	𝒮2(𝜄	PROPN
cana-4452	200	35	)	)	PUNCT
cana-4452	200	36	=	=	PUNCT
cana-4452	200	37	0.005550𝔥(𝔫	0.005550𝔥(𝔫	NOUN
cana-4452	200	38	+	+	CCONJ
cana-4452	200	39	𝔥	𝔥	NOUN
cana-4452	200	40	)	)	PUNCT
cana-4452	200	41	ℬ(℘	ℬ(℘	PROPN
cana-4452	200	42	)	)	PUNCT
cana-4452	200	43	{	{	PUNCT
cana-4452	200	44	1	1	NUM
cana-4452	200	45	−	−	PRON
cana-4452	200	46	℘	℘	PROPN
cana-4452	200	47	+	+	CCONJ
cana-4452	200	48	℘𝑡℘	℘𝑡℘	PROPN
cana-4452	200	49	γ(℘	γ(℘	X
cana-4452	200	50	+	+	CCONJ
cana-4452	200	51	1	1	NUM
cana-4452	200	52	)	)	PUNCT
cana-4452	200	53	}	}	PUNCT
cana-4452	200	54	−	−	PROPN
cana-4452	200	55	0.0211632750𝔥2	0.0211632750𝔥2	PUNCT
cana-4452	201	1	[	[	X
cana-4452	201	2	ℬ(℘)]2	ℬ(℘)]2	NUM
cana-4452	201	3	(	(	PUNCT
cana-4452	201	4	1	1	NUM
cana-4452	201	5	−	−	NUM
cana-4452	201	6	2℘	2℘	NUM
cana-4452	201	7	+	+	CCONJ
cana-4452	201	8	℘2	℘2	NOUN
cana-4452	201	9	+	+	CCONJ
cana-4452	201	10	2℘(1	2℘(1	NUM
cana-4452	201	11	−	−	NOUN
cana-4452	201	12	℘)𝑡℘	℘)𝑡℘	PROPN
cana-4452	201	13	γ(℘	γ(℘	X
cana-4452	201	14	+	+	CCONJ
cana-4452	201	15	1	1	NUM
cana-4452	201	16	)	)	PUNCT
cana-4452	201	17	+	+	NUM
cana-4452	201	18	℘2𝑡2℘	℘2𝑡2℘	NOUN
cana-4452	201	19	γ(2℘	γ(2℘	NOUN
cana-4452	201	20	+	+	CCONJ
cana-4452	201	21	1	1	NUM
cana-4452	201	22	)	)	PUNCT
cana-4452	201	23	)	)	PUNCT
cana-4452	201	24	,	,	PUNCT
cana-4452	201	25	communications	communication	NOUN
cana-4452	201	26	on	on	ADP
cana-4452	201	27	applied	apply	VERB
cana-4452	201	28	nonlinear	nonlinear	ADJ
cana-4452	201	29	analysis	analysis	NOUN
cana-4452	201	30	issn	issn	NOUN
cana-4452	201	31	:	:	PUNCT
cana-4452	201	32	1074	1074	NUM
cana-4452	201	33	-	-	PUNCT
cana-4452	201	34	133x	133x	NUM
cana-4452	201	35	vol	vol	NOUN
cana-4452	201	36	32	32	NUM
cana-4452	201	37	no	no	NOUN
cana-4452	201	38	.	.	PUNCT
cana-4452	202	1	9s	9s	NUM
cana-4452	202	2	(	(	PUNCT
cana-4452	202	3	2025	2025	NUM
cana-4452	202	4	)	)	PUNCT
cana-4452	202	5	2123	2123	NUM
cana-4452	202	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	202	7	and	and	CCONJ
cana-4452	202	8	so	so	ADV
cana-4452	202	9	on	on	ADP
cana-4452	202	10	simplifying	simplify	VERB
cana-4452	202	11	the	the	DET
cana-4452	202	12	above	above	ADJ
cana-4452	202	13	system	system	NOUN
cana-4452	202	14	of	of	ADP
cana-4452	202	15	equations	equation	NOUN
cana-4452	202	16	and	and	CCONJ
cana-4452	202	17	the	the	DET
cana-4452	202	18	values	value	NOUN
cana-4452	202	19	given	give	VERB
cana-4452	202	20	can	can	AUX
cana-4452	202	21	be	be	AUX
cana-4452	202	22	acquired	acquire	VERB
cana-4452	202	23	.	.	PUNCT
cana-4452	203	1	as	as	SCONJ
cana-4452	203	2	described	describe	VERB
cana-4452	203	3	by	by	ADP
cana-4452	203	4	the	the	DET
cana-4452	203	5	solutions	solution	NOUN
cana-4452	203	6	of	of	ADP
cana-4452	203	7	the	the	DET
cana-4452	203	8	q	q	X
cana-4452	203	9	−	−	PROPN
cana-4452	203	10	hatm	hatm	ADJ
cana-4452	203	11	,	,	PUNCT
cana-4452	203	12	we	we	PRON
cana-4452	203	13	obtain	obtain	VERB
cana-4452	203	14	the	the	DET
cana-4452	203	15	series	series	NOUN
cana-4452	203	16	as	as	SCONJ
cana-4452	203	17	follows	follow	VERB
cana-4452	203	18	:	:	PUNCT
cana-4452	203	19	𝒮(𝜄	𝒮(𝜄	NUM
cana-4452	203	20	)	)	PUNCT
cana-4452	203	21	=	=	SYM
cana-4452	203	22	𝒮0(𝜄	𝒮0(𝜄	X
cana-4452	203	23	)	)	PUNCT
cana-4452	204	1	+	+	ADJ
cana-4452	204	2	∑	∑	PROPN
cana-4452	204	3	  	  	SPACE
cana-4452	204	4	∞	∞	PROPN
cana-4452	204	5	𝑟=1	𝑟=1	PROPN
cana-4452	204	6	 	 	SPACE
cana-4452	204	7	𝒮𝑚(𝜄	𝒮𝑚(𝜄	NOUN
cana-4452	204	8	)	)	PUNCT
cana-4452	204	9	(	(	PUNCT
cana-4452	204	10	1	1	NUM
cana-4452	204	11	𝔪	𝔪	NOUN
cana-4452	204	12	)	)	PUNCT
cana-4452	204	13	𝑟	𝑟	NOUN
cana-4452	204	14	,	,	PUNCT
cana-4452	204	15	ℐ(𝜄	ℐ(𝜄	X
cana-4452	204	16	)	)	PUNCT
cana-4452	204	17	=	=	SYM
cana-4452	204	18	ℐ0(𝜄	ℐ0(𝜄	PROPN
cana-4452	204	19	)	)	PUNCT
cana-4452	205	1	+	+	ADJ
cana-4452	205	2	∑	∑	PROPN
cana-4452	205	3	  	  	SPACE
cana-4452	205	4	∞	∞	PROPN
cana-4452	205	5	𝑟=1	𝑟=1	PROPN
cana-4452	205	6	  	  	SPACE
cana-4452	205	7	ℐ𝑚(𝜄	ℐ𝑚(𝜄	NOUN
cana-4452	205	8	)	)	PUNCT
cana-4452	205	9	(	(	PUNCT
cana-4452	205	10	1	1	NUM
cana-4452	205	11	𝔪	𝔪	NOUN
cana-4452	205	12	)	)	PUNCT
cana-4452	205	13	𝑟	𝑟	NOUN
cana-4452	205	14	,	,	PUNCT
cana-4452	205	15	ℛ(𝜄	ℛ(𝜄	PROPN
cana-4452	205	16	)	)	PUNCT
cana-4452	205	17	=	=	SYM
cana-4452	205	18	ℛ0(𝜄	ℛ0(𝜄	PROPN
cana-4452	205	19	)	)	PUNCT
cana-4452	206	1	+	+	ADJ
cana-4452	206	2	∑	∑	PROPN
cana-4452	206	3	  	  	SPACE
cana-4452	206	4	∞	∞	PROPN
cana-4452	206	5	𝑟=1	𝑟=1	PROPN
cana-4452	206	6	 	 	SPACE
cana-4452	206	7	ℛ𝑚(𝜄	ℛ𝑚(𝜄	PROPN
cana-4452	206	8	)	)	PUNCT
cana-4452	206	9	(	(	PUNCT
cana-4452	206	10	1	1	NUM
cana-4452	206	11	𝔪	𝔪	NOUN
cana-4452	206	12	)	)	PUNCT
cana-4452	206	13	𝑟	𝑟	NOUN
cana-4452	206	14	,	,	PUNCT
cana-4452	206	15	(	(	PUNCT
cana-4452	206	16	31	31	NUM
cana-4452	206	17	)	)	SYM
cana-4452	206	18	5	5	NUM
cana-4452	206	19	.	.	X
cana-4452	206	20	result	result	NOUN
cana-4452	206	21	and	and	CCONJ
cana-4452	206	22	discussion	discussion	NOUN
cana-4452	206	23	this	this	DET
cana-4452	206	24	study	study	NOUN
cana-4452	206	25	establishes	establish	VERB
cana-4452	206	26	the	the	DET
cana-4452	206	27	local	local	ADJ
cana-4452	206	28	stability	stability	NOUN
cana-4452	206	29	of	of	ADP
cana-4452	206	30	both	both	CCONJ
cana-4452	206	31	the	the	DET
cana-4452	206	32	endemic	endemic	ADJ
cana-4452	206	33	and	and	CCONJ
cana-4452	206	34	disease	disease	NOUN
cana-4452	206	35	-	-	PUNCT
cana-4452	206	36	free	free	ADJ
cana-4452	206	37	equilibriums	equilibrium	NOUN
cana-4452	206	38	of	of	ADP
cana-4452	206	39	system	system	NOUN
cana-4452	206	40	(	(	PUNCT
cana-4452	206	41	19	19	NUM
cana-4452	206	42	)	)	PUNCT
cana-4452	206	43	using	use	VERB
cana-4452	206	44	the	the	DET
cana-4452	206	45	hurwitz	hurwitz	PROPN
cana-4452	206	46	criterion	criterion	NOUN
cana-4452	206	47	.	.	PUNCT
cana-4452	207	1	we	we	PRON
cana-4452	207	2	made	make	VERB
cana-4452	207	3	use	use	NOUN
cana-4452	207	4	of	of	ADP
cana-4452	207	5	q	q	NOUN
cana-4452	207	6	−	−	PROPN
cana-4452	207	7	hatm	hatm	ADJ
cana-4452	207	8	technique	technique	NOUN
cana-4452	207	9	(	(	PUNCT
cana-4452	207	10	q	q	NOUN
cana-4452	207	11	−	−	PROPN
cana-4452	207	12	hatm	hatm	NOUN
cana-4452	207	13	)	)	PUNCT
cana-4452	207	14	to	to	PART
cana-4452	207	15	provide	provide	VERB
cana-4452	207	16	a	a	DET
cana-4452	207	17	suitable	suitable	ADJ
cana-4452	207	18	answer	answer	NOUN
cana-4452	207	19	to	to	ADP
cana-4452	207	20	a	a	DET
cana-4452	207	21	set	set	NOUN
cana-4452	207	22	of	of	ADP
cana-4452	207	23	non	non	ADJ
cana-4452	207	24	-	-	ADJ
cana-4452	207	25	linear	linear	ADJ
cana-4452	207	26	equations	equation	NOUN
cana-4452	207	27	and	and	CCONJ
cana-4452	207	28	solve	solve	VERB
cana-4452	207	29	an	an	DET
cana-4452	207	30	epidemic	epidemic	NOUN
cana-4452	207	31	nipah	nipah	PROPN
cana-4452	207	32	virus	virus	NOUN
cana-4452	207	33	illness	illness	NOUN
cana-4452	207	34	model	model	PROPN
cana-4452	207	35	.	.	PUNCT
cana-4452	208	1	the	the	DET
cana-4452	208	2	initial	initial	ADJ
cana-4452	208	3	requirements	requirement	NOUN
cana-4452	208	4	regarding	regard	VERB
cana-4452	208	5	the	the	DET
cana-4452	208	6	model	model	NOUN
cana-4452	208	7	that	that	PRON
cana-4452	208	8	is	be	AUX
cana-4452	208	9	offered	offer	VERB
cana-4452	208	10	in	in	ADP
cana-4452	208	11	this	this	DET
cana-4452	208	12	paper	paper	NOUN
cana-4452	208	13	are	be	AUX
cana-4452	208	14	s(0	s(0	PROPN
cana-4452	208	15	)	)	PUNCT
cana-4452	208	16	=	=	SYM
cana-4452	208	17	𝑆0	𝑆0	X
cana-4452	208	18	=	=	SYM
cana-4452	208	19	0.90	0.90	NUM
cana-4452	208	20	,	,	PUNCT
cana-4452	208	21	i(0	i(0	PROPN
cana-4452	208	22	)	)	PUNCT
cana-4452	208	23	=	=	SYM
cana-4452	208	24	𝐼0	𝐼0	ADJ
cana-4452	208	25	=	=	SYM
cana-4452	208	26	0.05	0.05	NUM
cana-4452	208	27	,	,	PUNCT
cana-4452	208	28	r(0	r(0	PROPN
cana-4452	208	29	)	)	PUNCT
cana-4452	208	30	=	=	NOUN
cana-4452	208	31	𝑅0	𝑅0	NOUN
cana-4452	208	32	=	=	SYM
cana-4452	208	33	0.05	0.05	NUM
cana-4452	208	34	.	.	PUNCT
cana-4452	209	1	a	a	DET
cana-4452	209	2	series	series	NOUN
cana-4452	209	3	of	of	ADP
cana-4452	209	4	solutions	solution	NOUN
cana-4452	209	5	have	have	AUX
cana-4452	209	6	been	be	AUX
cana-4452	209	7	examined	examine	VERB
cana-4452	209	8	in	in	ADP
cana-4452	209	9	order	order	NOUN
cana-4452	209	10	to	to	PART
cana-4452	209	11	understand	understand	VERB
cana-4452	209	12	the	the	DET
cana-4452	209	13	behaviour	behaviour	NOUN
cana-4452	209	14	of	of	ADP
cana-4452	209	15	the	the	DET
cana-4452	209	16	model	model	NOUN
cana-4452	209	17	.	.	PUNCT
cana-4452	210	1	we	we	PRON
cana-4452	210	2	establish	establish	VERB
cana-4452	210	3	and	and	CCONJ
cana-4452	210	4	identify	identify	VERB
cana-4452	210	5	a	a	DET
cana-4452	210	6	technique	technique	NOUN
cana-4452	210	7	for	for	ADP
cana-4452	210	8	s(ι	s(ι	ADJ
cana-4452	210	9	)	)	PUNCT
cana-4452	210	10	,	,	PUNCT
cana-4452	210	11	i(ι	i(ι	PROPN
cana-4452	210	12	)	)	PUNCT
cana-4452	210	13	and	and	CCONJ
cana-4452	210	14	r(ι	r(ι	PROPN
cana-4452	210	15	)	)	PUNCT
cana-4452	210	16	using	use	VERB
cana-4452	210	17	variations	variation	NOUN
cana-4452	210	18	in	in	ADP
cana-4452	210	19	fractional	fractional	ADJ
cana-4452	210	20	orders	order	NOUN
cana-4452	210	21	(	(	PUNCT
cana-4452	210	22	℘	℘	PROPN
cana-4452	210	23	)	)	PUNCT
cana-4452	210	24	with	with	ADP
cana-4452	210	25	regard	regard	NOUN
cana-4452	210	26	to	to	ADP
cana-4452	210	27	time	time	NOUN
cana-4452	210	28	(	(	PUNCT
cana-4452	210	29	ι	ι	NOUN
cana-4452	210	30	)	)	PUNCT
cana-4452	210	31	.	.	PUNCT
cana-4452	211	1	it	it	PRON
cana-4452	211	2	is	be	AUX
cana-4452	211	3	evident	evident	ADJ
cana-4452	211	4	from	from	ADP
cana-4452	211	5	the	the	DET
cana-4452	211	6	diagram	diagram	NOUN
cana-4452	211	7	that	that	PRON
cana-4452	211	8	the	the	DET
cana-4452	211	9	planned	plan	VERB
cana-4452	211	10	version	version	NOUN
cana-4452	211	11	matches	match	VERB
cana-4452	211	12	the	the	DET
cana-4452	211	13	order	order	NOUN
cana-4452	211	14	and	and	CCONJ
cana-4452	211	15	provides	provide	VERB
cana-4452	211	16	more	more	ADJ
cana-4452	211	17	comfort	comfort	NOUN
cana-4452	211	18	.	.	PUNCT
cana-4452	212	1	as	as	ADP
cana-4452	212	2	a	a	DET
cana-4452	212	3	consequence	consequence	NOUN
cana-4452	212	4	,	,	PUNCT
cana-4452	212	5	success	success	NOUN
cana-4452	212	6	is	be	AUX
cana-4452	212	7	predicted	predict	VERB
cana-4452	212	8	when	when	SCONJ
cana-4452	212	9	the	the	DET
cana-4452	212	10	fractional	fractional	ADJ
cana-4452	212	11	operator	operator	NOUN
cana-4452	212	12	is	be	AUX
cana-4452	212	13	applied	apply	VERB
cana-4452	212	14	to	to	ADP
cana-4452	212	15	the	the	DET
cana-4452	212	16	future	future	ADJ
cana-4452	212	17	version	version	NOUN
cana-4452	212	18	.	.	PUNCT
cana-4452	213	1	the	the	DET
cana-4452	213	2	diagram	diagram	NOUN
cana-4452	213	3	shows	show	VERB
cana-4452	213	4	how	how	SCONJ
cana-4452	213	5	the	the	DET
cana-4452	213	6	sequence	sequence	NOUN
cana-4452	213	7	has	have	VERB
cana-4452	213	8	a	a	DET
cana-4452	213	9	substantial	substantial	ADJ
cana-4452	213	10	impact	impact	NOUN
cana-4452	213	11	on	on	ADP
cana-4452	213	12	the	the	DET
cana-4452	213	13	anticipated	anticipate	VERB
cana-4452	213	14	model	model	NOUN
cana-4452	213	15	and	and	CCONJ
cana-4452	213	16	provides	provide	VERB
cana-4452	213	17	additional	additional	ADJ
cana-4452	213	18	flexibility	flexibility	NOUN
cana-4452	213	19	.	.	PUNCT
cana-4452	214	1	here	here	ADV
cana-4452	214	2	,	,	PUNCT
cana-4452	214	3	we	we	PRON
cana-4452	214	4	evaluated	evaluate	VERB
cana-4452	214	5	the	the	DET
cana-4452	214	6	tabular	tabular	PROPN
cana-4452	214	7	data	datum	NOUN
cana-4452	214	8	and	and	CCONJ
cana-4452	214	9	diagrams	diagram	NOUN
cana-4452	214	10	produced	produce	VERB
cana-4452	214	11	by	by	ADP
cana-4452	214	12	q	q	PROPN
cana-4452	214	13	−	−	PROPN
cana-4452	214	14	hatm	hatm	ADJ
cana-4452	214	15	.	.	PUNCT
cana-4452	214	16	table	table	NOUN
cana-4452	214	17	1	1	NUM
cana-4452	214	18	,	,	PUNCT
cana-4452	214	19	2	2	NUM
cana-4452	214	20	and	and	CCONJ
cana-4452	214	21	3	3	NUM
cana-4452	214	22	show	show	VERB
cana-4452	214	23	the	the	DET
cana-4452	214	24	answer	answer	NOUN
cana-4452	214	25	to	to	ADP
cana-4452	214	26	s(ι	s(ι	ADJ
cana-4452	214	27	)	)	PUNCT
cana-4452	214	28	,	,	PUNCT
cana-4452	214	29	i(ι	i(ι	PROPN
cana-4452	214	30	)	)	PUNCT
cana-4452	214	31	and	and	CCONJ
cana-4452	214	32	r(ι	r(ι	NOUN
cana-4452	214	33	)	)	PUNCT
cana-4452	214	34	correspondingly	correspondingly	ADV
cana-4452	214	35	for	for	SCONJ
cana-4452	214	36	variations	variation	NOUN
cana-4452	214	37	in	in	ADP
cana-4452	214	38	fractional	fractional	ADJ
cana-4452	214	39	orders	order	NOUN
cana-4452	214	40	(	(	PUNCT
cana-4452	214	41	℘	℘	PROPN
cana-4452	214	42	)	)	PUNCT
cana-4452	214	43	with	with	ADP
cana-4452	214	44	regard	regard	NOUN
cana-4452	214	45	to	to	ADP
cana-4452	214	46	time	time	NOUN
cana-4452	214	47	(	(	PUNCT
cana-4452	214	48	ι	ι	NOUN
cana-4452	214	49	)	)	PUNCT
cana-4452	214	50	acquired	acquire	VERB
cana-4452	214	51	by	by	ADP
cana-4452	214	52	q	q	NOUN
cana-4452	214	53	−	−	PROPN
cana-4452	214	54	hatm	hatm	PROPN
cana-4452	214	55	.	.	PUNCT
cana-4452	215	1	from	from	ADP
cana-4452	215	2	the	the	DET
cana-4452	215	3	charts	chart	NOUN
cana-4452	215	4	,	,	PUNCT
cana-4452	215	5	it	it	PRON
cana-4452	215	6	is	be	AUX
cana-4452	215	7	clear	clear	ADJ
cana-4452	215	8	that	that	SCONJ
cana-4452	215	9	the	the	DET
cana-4452	215	10	system	system	NOUN
cana-4452	215	11	’s	’s	PART
cana-4452	215	12	time	time	NOUN
cana-4452	215	13	and	and	CCONJ
cana-4452	215	14	order	order	NOUN
cana-4452	215	15	significantly	significantly	ADV
cana-4452	215	16	influence	influence	VERB
cana-4452	215	17	the	the	DET
cana-4452	215	18	values	value	NOUN
cana-4452	215	19	of	of	ADP
cana-4452	215	20	s(ι	s(ι	NOUN
cana-4452	215	21	)	)	PUNCT
cana-4452	215	22	,	,	PUNCT
cana-4452	215	23	i(ι	i(ι	PROPN
cana-4452	215	24	)	)	PUNCT
cana-4452	215	25	and	and	CCONJ
cana-4452	215	26	r(ι	r(ι	PROPN
cana-4452	215	27	)	)	PUNCT
cana-4452	215	28	.	.	PUNCT
cana-4452	216	1	additionally	additionally	ADV
cana-4452	216	2	,	,	PUNCT
cana-4452	216	3	we	we	PRON
cana-4452	216	4	record	record	VERB
cana-4452	216	5	embedding	embed	VERB
cana-4452	216	6	behavior	behavior	NOUN
cana-4452	216	7	using	use	VERB
cana-4452	216	8	the	the	DET
cana-4452	216	9	value	value	NOUN
cana-4452	216	10	of	of	ADP
cana-4452	216	11	℘	℘	PROPN
cana-4452	216	12	=	=	SYM
cana-4452	216	13	0.6	0.6	NUM
cana-4452	216	14	,	,	PUNCT
cana-4452	216	15	0.7	0.7	NUM
cana-4452	216	16	,	,	PUNCT
cana-4452	216	17	0.8	0.8	NUM
cana-4452	216	18	,	,	PUNCT
cana-4452	216	19	0.9	0.9	NUM
cana-4452	216	20	and	and	CCONJ
cana-4452	216	21	for	for	ADP
cana-4452	216	22	classical	classical	ADJ
cana-4452	216	23	order	order	NOUN
cana-4452	216	24	℘	℘	NUM
cana-4452	216	25	=	=	SYM
cana-4452	216	26	1	1	NUM
cana-4452	216	27	and	and	CCONJ
cana-4452	216	28	the	the	DET
cana-4452	216	29	order	order	NOUN
cana-4452	216	30	of	of	ADP
cana-4452	216	31	the	the	DET
cana-4452	216	32	fractional	fractional	ADJ
cana-4452	216	33	differential	differential	ADJ
cana-4452	216	34	coefficient	coefficient	NOUN
cana-4452	216	35	at	at	ADP
cana-4452	216	36	h	h	NOUN
cana-4452	216	37	=	=	PUNCT
cana-4452	216	38	−1	−1	NOUN
cana-4452	216	39	and	and	CCONJ
cana-4452	216	40	m	m	VERB
cana-4452	216	41	=	=	ADJ
cana-4452	216	42	1	1	X
cana-4452	216	43	.	.	PUNCT
cana-4452	217	1	as	as	SCONJ
cana-4452	217	2	can	can	AUX
cana-4452	217	3	be	be	AUX
cana-4452	217	4	seen	see	VERB
cana-4452	217	5	,	,	PUNCT
cana-4452	217	6	the	the	DET
cana-4452	217	7	proposed	propose	VERB
cana-4452	217	8	system	system	NOUN
cana-4452	217	9	must	must	AUX
cana-4452	217	10	imitate	imitate	VERB
cana-4452	217	11	behaviors	behavior	NOUN
cana-4452	217	12	’	'	PUNCT
cana-4452	217	13	with	with	ADP
cana-4452	217	14	regard	regard	NOUN
cana-4452	217	15	to	to	ADP
cana-4452	217	16	parameters	parameter	NOUN
cana-4452	217	17	and	and	CCONJ
cana-4452	217	18	fractional	fractional	ADJ
cana-4452	217	19	order	order	NOUN
cana-4452	217	20	.	.	PUNCT
cana-4452	218	1	the	the	DET
cana-4452	218	2	proposed	propose	VERB
cana-4452	218	3	fractional	fractional	ADJ
cana-4452	218	4	operator	operator	NOUN
cana-4452	218	5	also	also	ADV
cana-4452	218	6	gives	give	VERB
cana-4452	218	7	other	other	ADJ
cana-4452	218	8	exciting	exciting	ADJ
cana-4452	218	9	outcomes	outcome	NOUN
cana-4452	218	10	to	to	PART
cana-4452	218	11	explore	explore	VERB
cana-4452	218	12	and	and	CCONJ
cana-4452	218	13	project	project	VERB
cana-4452	218	14	the	the	DET
cana-4452	218	15	future	future	NOUN
cana-4452	218	16	of	of	ADP
cana-4452	218	17	the	the	DET
cana-4452	218	18	proposed	propose	VERB
cana-4452	218	19	model	model	NOUN
cana-4452	218	20	.	.	PUNCT
cana-4452	219	1	the	the	DET
cana-4452	219	2	recent	recent	ADJ
cana-4452	219	3	study	study	NOUN
cana-4452	219	4	may	may	AUX
cana-4452	219	5	aid	aid	VERB
cana-4452	219	6	in	in	ADP
cana-4452	219	7	understanding	understand	VERB
cana-4452	219	8	the	the	DET
cana-4452	219	9	lethal	lethal	ADJ
cana-4452	219	10	virus	virus	NOUN
cana-4452	219	11	because	because	SCONJ
cana-4452	219	12	epidemic	epidemic	NOUN
cana-4452	219	13	models	model	NOUN
cana-4452	219	14	heavily	heavily	ADV
cana-4452	219	15	rely	rely	VERB
cana-4452	219	16	on	on	ADP
cana-4452	219	17	genetic	genetic	ADJ
cana-4452	219	18	characteristics	characteristic	NOUN
cana-4452	219	19	.	.	PUNCT
cana-4452	220	1	table	table	NOUN
cana-4452	220	2	1	1	NUM
cana-4452	220	3	.	.	PUNCT
cana-4452	220	4	table	table	NOUN
cana-4452	220	5	of	of	ADP
cana-4452	220	6	the	the	DET
cana-4452	220	7	susceptible	susceptible	ADJ
cana-4452	220	8	class	class	NOUN
cana-4452	220	9	of	of	ADP
cana-4452	220	10	s(ι	s(ι	NOUN
cana-4452	220	11	)	)	PUNCT
cana-4452	220	12	for	for	ADP
cana-4452	220	13	various	various	ADJ
cana-4452	220	14	℘	℘	NOUN
cana-4452	220	15	values	value	NOUN
cana-4452	221	1	ι	ι	DET
cana-4452	221	2	℘	℘	PROPN
cana-4452	221	3	=	=	SYM
cana-4452	221	4	0.6	0.6	NUM
cana-4452	221	5	℘	℘	NOUN
cana-4452	221	6	=	=	NOUN
cana-4452	221	7	0.7	0.7	NUM
cana-4452	221	8	℘	℘	NOUN
cana-4452	221	9	=	=	PUNCT
cana-4452	221	10	0.8	0.8	NUM
cana-4452	221	11	℘	℘	NUM
cana-4452	221	12	=	=	SYM
cana-4452	221	13	0.9	0.9	NUM
cana-4452	221	14	℘	℘	NOUN
cana-4452	221	15	=	=	SYM
cana-4452	221	16	1	1	NUM
cana-4452	221	17	0	0	NUM
cana-4452	221	18	0.8943938760	0.8943938760	NUM
cana-4452	221	19	0.8964303052	0.8964303052	NUM
cana-4452	221	20	0.8980434690	0.8980434690	NUM
cana-4452	221	21	0.8992333672	0.8992333672	NUM
cana-4452	221	22	0.9000000000	0.9000000000	NUM
cana-4452	221	23	1	1	NUM
cana-4452	221	24	0.8723831960	0.8723831960	NUM
cana-4452	221	25	0.8740240779	0.8740240779	NUM
cana-4452	221	26	0.8765310374	0.8765310374	NUM
cana-4452	221	27	0.8798538867	0.8798538867	NUM
cana-4452	221	28	0.8838683625	0.8838683625	NUM
cana-4452	221	29	2	2	NUM
cana-4452	221	30	0.8556267369	0.8556267369	NUM
cana-4452	221	31	0.8515618372	0.8515618372	NUM
cana-4452	221	32	0.8483633345	0.8483633345	NUM
cana-4452	221	33	0.8465448548	0.8465448548	NUM
cana-4452	221	34	0.8465734500	0.8465734500	NUM
cana-4452	221	35	3	3	NUM
cana-4452	221	36	0.8393687934	0.8393687934	NUM
cana-4452	221	37	0.8272321253	0.8272321253	NUM
cana-4452	221	38	0.8141067684	0.8141067684	NUM
cana-4452	221	39	0.800756083	0.800756083	NUM
cana-4452	222	1	0.7881152625	0.7881152625	NUM
cana-4452	222	2	4	4	NUM
cana-4452	222	3	0.8232160227	0.8232160227	NUM
cana-4452	222	4	0.8011902661	0.8011902661	NUM
cana-4452	222	5	0.7744866197	0.7744866197	NUM
cana-4452	222	6	0.7433693061	0.7433693061	NUM
cana-4452	222	7	0.7084938000	0.7084938000	NUM
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cana-4452	222	19	0.48576105500	0.48576105500	NUM
cana-4452	222	20	communications	communication	NOUN
cana-4452	222	21	on	on	ADP
cana-4452	222	22	applied	apply	VERB
cana-4452	222	23	nonlinear	nonlinear	ADJ
cana-4452	222	24	analysis	analysis	NOUN
cana-4452	222	25	issn	issn	NOUN
cana-4452	222	26	:	:	PUNCT
cana-4452	222	27	1074	1074	NUM
cana-4452	222	28	-	-	PUNCT
cana-4452	222	29	133x	133x	NUM
cana-4452	222	30	vol	vol	NOUN
cana-4452	222	31	32	32	NUM
cana-4452	222	32	no	no	NOUN
cana-4452	222	33	.	.	PUNCT
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cana-4452	223	2	(	(	PUNCT
cana-4452	223	3	2025	2025	NUM
cana-4452	223	4	)	)	PUNCT
cana-4452	223	5	2124	2124	NUM
cana-4452	224	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	224	2	table	table	NOUN
cana-4452	224	3	2	2	NUM
cana-4452	224	4	.	.	PUNCT
cana-4452	224	5	table	table	NOUN
cana-4452	224	6	of	of	ADP
cana-4452	224	7	the	the	DET
cana-4452	224	8	infective	infective	ADJ
cana-4452	224	9	class	class	NOUN
cana-4452	224	10	of	of	ADP
cana-4452	224	11	i(ι	i(ι	PROPN
cana-4452	224	12	)	)	PUNCT
cana-4452	224	13	for	for	ADP
cana-4452	224	14	various	various	ADJ
cana-4452	224	15	℘values	℘value	NOUN
cana-4452	224	16	ι	ι	PRON
cana-4452	224	17	℘	℘	PROPN
cana-4452	224	18	=	=	SYM
cana-4452	224	19	0.6	0.6	NUM
cana-4452	224	20	℘	℘	NOUN
cana-4452	224	21	=	=	NOUN
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cana-4452	224	23	℘	℘	NOUN
cana-4452	224	24	=	=	PUNCT
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cana-4452	224	27	=	=	SYM
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cana-4452	224	29	℘	℘	NOUN
cana-4452	224	30	=	=	SYM
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cana-4452	226	1	0.06659041200	0.06659041200	NUM
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cana-4452	226	4	0.05350440075	0.05350440075	NUM
cana-4452	226	5	0.05000000000	0.05000000000	NUM
cana-4452	226	6	1	1	NUM
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cana-4452	226	9	0.1026609786	0.1026609786	NUM
cana-4452	226	10	0.09866297055	0.09866297055	NUM
cana-4452	226	11	0.09362003750	0.09362003750	NUM
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cana-4452	226	13	0.1336278505	0.1336278505	NUM
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cana-4452	226	15	0.1485607804	0.1485607804	NUM
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cana-4452	226	17	0.1586801500	0.1586801500	NUM
cana-4452	226	18	3	3	NUM
cana-4452	226	19	0.1577451162	0.1577451162	NUM
cana-4452	226	20	0.1772442353	0.1772442353	NUM
cana-4452	226	21	0.1988958201	0.1988958201	NUM
cana-4452	226	22	0.2218808745	0.2218808745	NUM
cana-4452	226	23	0.2451803375	0.2451803375	NUM
cana-4452	226	24	4	4	NUM
cana-4452	226	25	0.1807804428	0.1807804428	NUM
cana-4452	226	26	0.2137417469	0.2137417469	NUM
cana-4452	226	27	0.2536356816	0.2536356816	NUM
cana-4452	227	1	0.3002924200	0.3002924200	NUM
cana-4452	227	2	0.3531206000	0.3531206000	NUM
cana-4452	227	3	5	5	NUM
cana-4452	227	4	0.2031954688	0.2031954688	NUM
cana-4452	227	5	0.2510705611	0.2510705611	NUM
cana-4452	227	6	0.3125881524	0.3125881524	NUM
cana-4452	227	7	0.3893329883	0.3893329883	NUM
cana-4452	227	8	0.4825009375	0.4825009375	NUM
cana-4452	227	9	6	6	NUM
cana-4452	227	10	0.2252195365	0.2252195365	NUM
cana-4452	227	11	0.2892854813	0.2892854813	NUM
cana-4452	227	12	0.3755563451	0.3755563451	NUM
cana-4452	227	13	0.4886561530	0.4886561530	NUM
cana-4452	227	14	0.6333213500	0.6333213500	NUM
cana-4452	227	15	table	table	NOUN
cana-4452	227	16	3	3	NUM
cana-4452	227	17	.	.	PUNCT
cana-4452	227	18	table	table	NOUN
cana-4452	227	19	of	of	ADP
cana-4452	227	20	the	the	DET
cana-4452	227	21	recovered	recovered	ADJ
cana-4452	227	22	class	class	NOUN
cana-4452	227	23	of	of	ADP
cana-4452	227	24	r(ι	r(ι	PROPN
cana-4452	227	25	)	)	PUNCT
cana-4452	227	26	for	for	ADP
cana-4452	227	27	various	various	ADJ
cana-4452	227	28	℘	℘	NOUN
cana-4452	227	29	values	value	NOUN
cana-4452	227	30	ι	ι	PRON
cana-4452	227	31	℘	℘	PROPN
cana-4452	227	32	=	=	SYM
cana-4452	227	33	0.6	0.6	NUM
cana-4452	227	34	℘	℘	NOUN
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cana-4452	227	38	=	=	PUNCT
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cana-4452	227	41	=	=	SYM
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cana-4452	227	43	℘	℘	NOUN
cana-4452	227	44	=	=	SYM
cana-4452	228	1	1	1	NUM
cana-4452	228	2	0	0	NUM
cana-4452	228	3	0.05008627200	0.05008627200	NUM
cana-4452	228	4	0.05005977800	0.05005977800	NUM
cana-4452	228	5	0.05003656800	0.05003656800	NUM
cana-4452	228	6	0.05001664200	0.05001664200	NUM
cana-4452	228	7	0.05000000000	0.05000000000	NUM
cana-4452	228	8	1	1	NUM
cana-4452	228	9	0.05046117025	0.05046117025	NUM
cana-4452	228	10	0.05049310148	0.05049310148	NUM
cana-4452	228	11	0.05052099088	0.05052099088	NUM
cana-4452	228	12	0.05054365211	0.05054365211	NUM
cana-4452	228	13	0.05056050000	0.05056050000	NUM
cana-4452	228	14	2	2	NUM
cana-4452	228	15	0.05069644883	0.05069644883	NUM
cana-4452	228	16	0.05082942615	0.05082942615	NUM
cana-4452	228	17	0.05097484619	0.05097484619	NUM
cana-4452	228	18	0.05112829150	0.05112829150	NUM
cana-4452	228	19	0.051285200	0.051285200	NUM
cana-4452	228	20	3	3	NUM
cana-4452	228	21	0.05090780422	0.05090780422	NUM
cana-4452	228	22	0.05115653905	0.05115653905	VERB
cana-4452	228	23	0.05145245440	0.05145245440	NUM
cana-4452	228	24	0.05179309994	0.05179309994	NUM
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cana-4452	228	26	4	4	NUM
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cana-4452	228	28	0.05148349032	0.05148349032	NUM
cana-4452	228	29	0.05195773351	0.05195773351	NUM
cana-4452	228	30	0.05253751992	0.05253751992	NUM
cana-4452	228	31	0.053227200	0.053227200	NUM
cana-4452	228	32	5	5	NUM
cana-4452	228	33	0.05130015308	0.05130015308	NUM
cana-4452	228	34	0.05181334016	0.05181334016	NUM
cana-4452	228	35	0.05249103017	0.05249103017	NUM
cana-4452	228	36	0.05335975052	0.05335975052	NUM
cana-4452	228	37	0.05444450000	0.05444450000	NUM
cana-4452	228	38	6	6	NUM
cana-4452	228	39	0.05148820996	0.05148820996	NUM
cana-4452	228	40	0.05214739658	0.05214739658	NUM
cana-4452	228	41	0.05305185035	0.05305185035	NUM
cana-4452	228	42	0.05425793308	0.05425793308	NUM
cana-4452	228	43	0.055826000	0.055826000	NUM
cana-4452	228	44	figure	figure	NOUN
cana-4452	228	45	1	1	NUM
cana-4452	228	46	:	:	PUNCT
cana-4452	228	47	plot	plot	NOUN
cana-4452	228	48	of	of	ADP
cana-4452	228	49	q	q	NOUN
cana-4452	228	50	−	−	PROPN
cana-4452	228	51	hatm	hatm	ADJ
cana-4452	228	52	and	and	CCONJ
cana-4452	228	53	cfdtm	cfdtm	NOUN
cana-4452	228	54	solution	solution	NOUN
cana-4452	228	55	for	for	ADP
cana-4452	228	56	s(ι	s(ι	NOUN
cana-4452	228	57	)	)	PUNCT
cana-4452	228	58	with	with	ADP
cana-4452	228	59	respect	respect	NOUN
cana-4452	228	60	to	to	ADP
cana-4452	228	61	ι	ι	PROPN
cana-4452	228	62	at	at	ADP
cana-4452	228	63	h	h	NOUN
cana-4452	228	64	=	=	SYM
cana-4452	228	65	−1	−1	NOUN
cana-4452	228	66	,	,	PUNCT
cana-4452	228	67	;	;	PUNCT
cana-4452	228	68	m	m	VERB
cana-4452	228	69	=	=	NOUN
cana-4452	228	70	1	1	NUM
cana-4452	228	71	,	,	PUNCT
cana-4452	228	72	for	for	ADP
cana-4452	228	73	varying	vary	VERB
cana-4452	228	74	℘.	℘.	PROPN
cana-4452	228	75	communications	communication	NOUN
cana-4452	228	76	on	on	ADP
cana-4452	228	77	applied	apply	VERB
cana-4452	228	78	nonlinear	nonlinear	ADJ
cana-4452	228	79	analysis	analysis	NOUN
cana-4452	228	80	issn	issn	NOUN
cana-4452	228	81	:	:	PUNCT
cana-4452	228	82	1074	1074	NUM
cana-4452	228	83	-	-	PUNCT
cana-4452	228	84	133x	133x	NUM
cana-4452	228	85	vol	vol	NOUN
cana-4452	228	86	32	32	NUM
cana-4452	228	87	no	no	NOUN
cana-4452	228	88	.	.	PUNCT
cana-4452	229	1	9s	9s	NUM
cana-4452	229	2	(	(	PUNCT
cana-4452	229	3	2025	2025	NUM
cana-4452	229	4	)	)	PUNCT
cana-4452	229	5	2125	2125	NUM
cana-4452	229	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	229	7	figure	figure	NOUN
cana-4452	229	8	2	2	NUM
cana-4452	229	9	:	:	PUNCT
cana-4452	229	10	plot	plot	NOUN
cana-4452	229	11	of	of	ADP
cana-4452	229	12	q	q	NOUN
cana-4452	229	13	−	−	PROPN
cana-4452	229	14	hatm	hatm	ADJ
cana-4452	229	15	and	and	CCONJ
cana-4452	229	16	cfdtm	cfdtm	NOUN
cana-4452	229	17	solution	solution	NOUN
cana-4452	229	18	for	for	ADP
cana-4452	229	19	i(ι	i(ι	NOUN
cana-4452	229	20	)	)	PUNCT
cana-4452	229	21	with	with	ADP
cana-4452	229	22	respect	respect	NOUN
cana-4452	229	23	to	to	ADP
cana-4452	229	24	ι	ι	PROPN
cana-4452	229	25	at	at	ADP
cana-4452	229	26	h	h	NOUN
cana-4452	229	27	=	=	SYM
cana-4452	229	28	−1	−1	NOUN
cana-4452	229	29	,	,	PUNCT
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cana-4452	229	31	m	m	VERB
cana-4452	229	32	=	=	NOUN
cana-4452	229	33	1	1	NUM
cana-4452	229	34	,	,	PUNCT
cana-4452	229	35	for	for	ADP
cana-4452	229	36	varying	vary	VERB
cana-4452	229	37	℘.	℘.	PROPN
cana-4452	229	38	figure	figure	NOUN
cana-4452	229	39	3	3	NUM
cana-4452	229	40	:	:	PUNCT
cana-4452	229	41	plot	plot	NOUN
cana-4452	229	42	of	of	ADP
cana-4452	229	43	q	q	NOUN
cana-4452	229	44	−	−	PROPN
cana-4452	229	45	hatm	hatm	ADJ
cana-4452	229	46	and	and	CCONJ
cana-4452	229	47	cfdtm	cfdtm	NOUN
cana-4452	229	48	solution	solution	NOUN
cana-4452	229	49	for	for	ADP
cana-4452	229	50	r(ι	r(ι	PROPN
cana-4452	229	51	)	)	PUNCT
cana-4452	229	52	with	with	ADP
cana-4452	229	53	respect	respect	NOUN
cana-4452	229	54	to	to	ADP
cana-4452	229	55	ι	ι	PROPN
cana-4452	229	56	at	at	ADP
cana-4452	229	57	h	h	NOUN
cana-4452	229	58	=	=	SYM
cana-4452	229	59	−1	−1	NOUN
cana-4452	229	60	,	,	PUNCT
cana-4452	229	61	;	;	PUNCT
cana-4452	229	62	m	m	VERB
cana-4452	229	63	=	=	NOUN
cana-4452	229	64	1	1	NUM
cana-4452	229	65	,	,	PUNCT
cana-4452	229	66	for	for	ADP
cana-4452	229	67	varying	vary	VERB
cana-4452	229	68	℘.	℘.	PROPN
cana-4452	229	69	6	6	NUM
cana-4452	229	70	conclusion	conclusion	NOUN
cana-4452	229	71	the	the	DET
cana-4452	229	72	complex	complex	ADJ
cana-4452	229	73	structure	structure	NOUN
cana-4452	229	74	of	of	ADP
cana-4452	229	75	fractional	fractional	ADJ
cana-4452	229	76	calculus	calculus	NOUN
cana-4452	229	77	is	be	AUX
cana-4452	229	78	studied	study	VERB
cana-4452	229	79	using	use	VERB
cana-4452	229	80	hurwitz	hurwitz	PROPN
cana-4452	229	81	criterion	criterion	NOUN
cana-4452	229	82	,	,	PUNCT
cana-4452	229	83	the	the	DET
cana-4452	229	84	local	local	ADJ
cana-4452	229	85	stability	stability	NOUN
cana-4452	229	86	of	of	ADP
cana-4452	229	87	the	the	DET
cana-4452	229	88	disease	disease	NOUN
cana-4452	229	89	-	-	PUNCT
cana-4452	229	90	free	free	ADJ
cana-4452	229	91	equilibrium	equilibrium	NOUN
cana-4452	229	92	and	and	CCONJ
cana-4452	229	93	endemic	endemic	ADJ
cana-4452	229	94	equilibrium	equilibrium	NOUN
cana-4452	229	95	of	of	ADP
cana-4452	229	96	system	system	NOUN
cana-4452	229	97	is	be	AUX
cana-4452	229	98	proved	prove	VERB
cana-4452	229	99	and	and	CCONJ
cana-4452	229	100	utilizing	utilize	VERB
cana-4452	229	101	the	the	DET
cana-4452	229	102	q	q	NOUN
cana-4452	229	103	−	−	PROPN
cana-4452	229	104	homotopy	homotopy	NOUN
cana-4452	229	105	analysis	analysis	NOUN
cana-4452	229	106	transform	transform	NOUN
cana-4452	229	107	method	method	NOUN
cana-4452	229	108	in	in	ADP
cana-4452	229	109	the	the	DET
cana-4452	229	110	current	current	ADJ
cana-4452	229	111	inquiry	inquiry	NOUN
cana-4452	229	112	of	of	ADP
cana-4452	229	113	nipah	nipah	PRON
cana-4452	229	114	viral	viral	ADJ
cana-4452	229	115	sickness	sickness	NOUN
cana-4452	229	116	.	.	PUNCT
cana-4452	230	1	the	the	DET
cana-4452	230	2	results	result	NOUN
cana-4452	230	3	are	be	AUX
cana-4452	230	4	provided	provide	VERB
cana-4452	230	5	in	in	ADP
cana-4452	230	6	a	a	DET
cana-4452	230	7	series	series	NOUN
cana-4452	230	8	form	form	NOUN
cana-4452	230	9	that	that	PRON
cana-4452	230	10	converges	converge	VERB
cana-4452	230	11	quickly	quickly	ADV
cana-4452	230	12	.	.	PUNCT
cana-4452	231	1	we	we	PRON
cana-4452	231	2	have	have	AUX
cana-4452	231	3	stabilized	stabilize	VERB
cana-4452	231	4	a	a	DET
cana-4452	231	5	more	more	ADV
cana-4452	231	6	accurate	accurate	ADJ
cana-4452	231	7	and	and	CCONJ
cana-4452	231	8	realistic	realistic	ADJ
cana-4452	231	9	model	model	NOUN
cana-4452	231	10	by	by	ADP
cana-4452	231	11	taking	take	VERB
cana-4452	231	12	into	into	ADP
cana-4452	231	13	account	account	NOUN
cana-4452	231	14	the	the	DET
cana-4452	231	15	caputo	caputo	PROPN
cana-4452	231	16	fractional	fractional	ADJ
cana-4452	231	17	derivatives	derivative	NOUN
cana-4452	231	18	.	.	PUNCT
cana-4452	232	1	the	the	DET
cana-4452	232	2	present	present	ADJ
cana-4452	232	3	technique	technique	NOUN
cana-4452	232	4	also	also	ADV
cana-4452	232	5	saves	save	VERB
cana-4452	232	6	time	time	NOUN
cana-4452	232	7	and	and	CCONJ
cana-4452	232	8	does	do	AUX
cana-4452	232	9	not	not	PART
cana-4452	232	10	call	call	VERB
cana-4452	232	11	for	for	ADP
cana-4452	232	12	any	any	DET
cana-4452	232	13	deviation	deviation	NOUN
cana-4452	232	14	while	while	SCONJ
cana-4452	232	15	solving	solve	VERB
cana-4452	232	16	nonlinear	nonlinear	ADJ
cana-4452	232	17	models	model	NOUN
cana-4452	232	18	.	.	PUNCT
cana-4452	233	1	it	it	PRON
cana-4452	233	2	is	be	AUX
cana-4452	233	3	concluded	conclude	VERB
cana-4452	233	4	that	that	SCONJ
cana-4452	233	5	findings	finding	NOUN
cana-4452	233	6	for	for	ADP
cana-4452	233	7	real	real	ADJ
cana-4452	233	8	,	,	PUNCT
cana-4452	233	9	imagined	imagine	VERB
cana-4452	233	10	,	,	PUNCT
cana-4452	233	11	and	and	CCONJ
cana-4452	233	12	other	other	ADJ
cana-4452	233	13	phenomenal	phenomenal	ADJ
cana-4452	233	14	variables	variable	NOUN
cana-4452	233	15	may	may	AUX
cana-4452	233	16	be	be	AUX
cana-4452	233	17	derive	derive	ADJ
cana-4452	233	18	using	use	VERB
cana-4452	233	19	the	the	DET
cana-4452	233	20	proposed	proposed	ADJ
cana-4452	233	21	nonlinear	nonlinear	ADJ
cana-4452	233	22	model	model	NOUN
cana-4452	233	23	.	.	PUNCT
cana-4452	234	1	data	datum	NOUN
cana-4452	234	2	availability	availability	NOUN
cana-4452	234	3	:	:	PUNCT
cana-4452	234	4	no	no	DET
cana-4452	234	5	data	datum	NOUN
cana-4452	234	6	were	be	AUX
cana-4452	234	7	used	use	VERB
cana-4452	234	8	in	in	ADP
cana-4452	234	9	this	this	DET
cana-4452	234	10	paper	paper	NOUN
cana-4452	234	11	.	.	PUNCT
cana-4452	235	1	ethical	ethical	ADJ
cana-4452	235	2	approval	approval	NOUN
cana-4452	235	3	:	:	PUNCT
cana-4452	235	4	this	this	DET
cana-4452	235	5	article	article	NOUN
cana-4452	235	6	does	do	AUX
cana-4452	235	7	not	not	PART
cana-4452	235	8	contain	contain	VERB
cana-4452	235	9	any	any	DET
cana-4452	235	10	studies	study	NOUN
cana-4452	235	11	with	with	ADP
cana-4452	235	12	human	human	ADJ
cana-4452	235	13	participants	participant	NOUN
cana-4452	235	14	or	or	CCONJ
cana-4452	235	15	animals	animal	NOUN
cana-4452	235	16	performed	perform	VERB
cana-4452	235	17	by	by	ADP
cana-4452	235	18	any	any	PRON
cana-4452	235	19	of	of	ADP
cana-4452	235	20	the	the	DET
cana-4452	235	21	authors	author	NOUN
cana-4452	235	22	.	.	PUNCT
cana-4452	236	1	communications	communication	NOUN
cana-4452	236	2	on	on	ADP
cana-4452	236	3	applied	apply	VERB
cana-4452	236	4	nonlinear	nonlinear	ADJ
cana-4452	236	5	analysis	analysis	NOUN
cana-4452	236	6	issn	issn	NOUN
cana-4452	236	7	:	:	PUNCT
cana-4452	236	8	1074	1074	NUM
cana-4452	236	9	-	-	PUNCT
cana-4452	236	10	133x	133x	NUM
cana-4452	236	11	vol	vol	NOUN
cana-4452	236	12	32	32	NUM
cana-4452	236	13	no	no	NOUN
cana-4452	236	14	.	.	PUNCT
cana-4452	237	1	9s	9s	NUM
cana-4452	237	2	(	(	PUNCT
cana-4452	237	3	2025	2025	NUM
cana-4452	237	4	)	)	PUNCT
cana-4452	237	5	2126	2126	NUM
cana-4452	238	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	238	2	conflicts	conflict	NOUN
cana-4452	238	3	of	of	ADP
cana-4452	238	4	interest	interest	NOUN
cana-4452	238	5	:	:	PUNCT
cana-4452	238	6	the	the	DET
cana-4452	238	7	authors	author	NOUN
cana-4452	238	8	confirm	confirm	VERB
cana-4452	238	9	no	no	DET
cana-4452	238	10	competing	compete	VERB
cana-4452	238	11	interests	interest	NOUN
cana-4452	238	12	.	.	PUNCT
cana-4452	239	1	funding	funding	NOUN
cana-4452	239	2	statement	statement	NOUN
cana-4452	239	3	:	:	PUNCT
cana-4452	239	4	the	the	DET
cana-4452	239	5	research	research	NOUN
cana-4452	239	6	did	do	AUX
cana-4452	239	7	not	not	PART
cana-4452	239	8	receive	receive	VERB
cana-4452	239	9	any	any	DET
cana-4452	239	10	funding	funding	NOUN
cana-4452	239	11	.	.	PUNCT
cana-4452	240	1	author	author	NOUN
cana-4452	240	2	's	's	PART
cana-4452	240	3	contributions	contribution	NOUN
cana-4452	240	4	:	:	PUNCT
cana-4452	240	5	the	the	DET
cana-4452	240	6	authors	author	NOUN
cana-4452	240	7	read	read	VERB
cana-4452	240	8	and	and	CCONJ
cana-4452	240	9	approved	approve	VERB
cana-4452	240	10	the	the	DET
cana-4452	240	11	final	final	ADJ
cana-4452	240	12	manuscript	manuscript	NOUN
cana-4452	240	13	.	.	PUNCT
cana-4452	241	1	references	reference	NOUN
cana-4452	241	2	[	[	X
cana-4452	241	3	1	1	NUM
cana-4452	241	4	]	]	PUNCT
cana-4452	241	5	m.	m.	NOUN
cana-4452	241	6	abdullah	abdullah	PROPN
cana-4452	241	7	,	,	PUNCT
cana-4452	241	8	a.	a.	PROPN
cana-4452	241	9	ahmad	ahmad	PROPN
cana-4452	241	10	,	,	PUNCT
cana-4452	241	11	n.	n.	PROPN
cana-4452	241	12	raza	raza	PROPN
cana-4452	241	13	,	,	PUNCT
cana-4452	241	14	m.	m.	NOUN
cana-4452	241	15	farman	farman	NOUN
cana-4452	241	16	and	and	CCONJ
cana-4452	241	17	m.	m.	PROPN
cana-4452	241	18	o.	o.	PROPN
cana-4452	241	19	ahmad	ahmad	PROPN
cana-4452	241	20	,	,	PUNCT
cana-4452	241	21	approximate	approximate	ADJ
cana-4452	241	22	solution	solution	NOUN
cana-4452	241	23	and	and	CCONJ
cana-4452	241	24	analysis	analysis	NOUN
cana-4452	241	25	of	of	ADP
cana-4452	241	26	smoking	smoking	NOUN
cana-4452	241	27	epidemic	epidemic	NOUN
cana-4452	241	28	model	model	NOUN
cana-4452	241	29	with	with	ADP
cana-4452	241	30	caputo	caputo	PROPN
cana-4452	241	31	fractional	fractional	ADJ
cana-4452	241	32	derivatives	derivative	NOUN
cana-4452	241	33	,	,	PUNCT
cana-4452	241	34	int	int	NOUN
cana-4452	241	35	.	.	PUNCT
cana-4452	242	1	j.	j.	PROPN
cana-4452	242	2	appl	appl	PROPN
cana-4452	242	3	.	.	PUNCT
cana-4452	243	1	comput	comput	PROPN
cana-4452	243	2	.	.	PUNCT
cana-4452	244	1	math	math	NOUN
cana-4452	244	2	.	.	PUNCT
cana-4452	245	1	,	,	PUNCT
cana-4452	245	2	4	4	NUM
cana-4452	245	3	(	(	PUNCT
cana-4452	245	4	5	5	NUM
cana-4452	245	5	)	)	PUNCT
cana-4452	245	6	(	(	PUNCT
cana-4452	245	7	2018	2018	NUM
cana-4452	245	8	)	)	PUNCT
cana-4452	245	9	,	,	PUNCT
cana-4452	245	10	1	1	NUM
cana-4452	245	11	-	-	SYM
cana-4452	245	12	16	16	NUM
cana-4452	245	13	,	,	PUNCT
cana-4452	245	14	doi:10.1007	doi:10.1007	ADJ
cana-4452	245	15	/	/	SYM
cana-4452	245	16	s40819	s40819	NOUN
cana-4452	245	17	-	-	PUNCT
cana-4452	245	18	018	018	NUM
cana-4452	245	19	-	-	PUNCT
cana-4452	245	20	0543	0543	NUM
cana-4452	245	21	-	-	SYM
cana-4452	245	22	5	5	NUM
cana-4452	245	23	.	.	PUNCT
cana-4452	246	1	[	[	X
cana-4452	246	2	2	2	NUM
cana-4452	246	3	]	]	X
cana-4452	246	4	e.	e.	PROPN
cana-4452	246	5	addai	addai	PROPN
cana-4452	246	6	,	,	PUNCT
cana-4452	246	7	d.	d.	PROPN
cana-4452	246	8	f.	f.	PROPN
cana-4452	246	9	m.	m.	PROPN
cana-4452	246	10	torres	torres	PROPN
cana-4452	246	11	,	,	PUNCT
cana-4452	246	12	z.	z.	PROPN
cana-4452	246	13	abdul	abdul	PROPN
cana-4452	246	14	-	-	PUNCT
cana-4452	246	15	hamid	hamid	PROPN
cana-4452	246	16	,	,	PUNCT
cana-4452	246	17	m.	m.	NOUN
cana-4452	246	18	nwaife	nwaife	PROPN
cana-4452	246	19	mesue	mesue	PROPN
cana-4452	246	20	and	and	CCONJ
cana-4452	246	21	j.	j.	PROPN
cana-4452	246	22	k.	k.	PROPN
cana-4452	246	23	k.	k.	PROPN
cana-4452	246	24	asamoah	asamoah	PROPN
cana-4452	246	25	,	,	PUNCT
cana-4452	246	26	modelling	model	VERB
cana-4452	246	27	the	the	DET
cana-4452	246	28	dynamics	dynamic	NOUN
cana-4452	246	29	of	of	ADP
cana-4452	246	30	online	online	ADJ
cana-4452	246	31	food	food	NOUN
cana-4452	246	32	delivery	delivery	NOUN
cana-4452	246	33	services	service	NOUN
cana-4452	246	34	on	on	ADP
cana-4452	246	35	the	the	DET
cana-4452	246	36	spread	spread	NOUN
cana-4452	246	37	of	of	ADP
cana-4452	246	38	food	food	NOUN
cana-4452	246	39	-	-	PUNCT
cana-4452	246	40	borne	bear	VERB
cana-4452	246	41	disease	disease	NOUN
cana-4452	246	42	.	.	PUNCT
cana-4452	247	1	model	model	NOUN
cana-4452	247	2	.	.	PUNCT
cana-4452	248	1	earth	earth	PROPN
cana-4452	248	2	syst	syst	PROPN
cana-4452	248	3	.	.	PUNCT
cana-4452	249	1	environ	environ	PROPN
cana-4452	249	2	.	.	PROPN
cana-4452	249	3	,	,	PUNCT
cana-4452	249	4	10(2	10(2	NUM
cana-4452	249	5	)	)	PUNCT
cana-4452	249	6	(	(	PUNCT
cana-4452	249	7	2024	2024	NUM
cana-4452	249	8	)	)	PUNCT
cana-4452	249	9	,	,	PUNCT
cana-4452	249	10	4993	4993	NUM
cana-4452	249	11	-	-	SYM
cana-4452	249	12	5008	5008	NUM
cana-4452	249	13	,	,	PUNCT
cana-4452	249	14	doi	doi	NOUN
cana-4452	249	15	:	:	PUNCT
cana-4452	249	16	10.1007	10.1007	NUM
cana-4452	249	17	/	/	SYM
cana-4452	249	18	s40808	s40808	NOUN
cana-4452	249	19	-	-	PUNCT
cana-4452	249	20	024	024	NUM
cana-4452	249	21	-	-	PUNCT
cana-4452	249	22	02046	02046	NUM
cana-4452	249	23	-	-	SYM
cana-4452	249	24	8	8	NUM
cana-4452	249	25	.	.	PUNCT
cana-4452	250	1	[	[	X
cana-4452	250	2	3	3	X
cana-4452	250	3	]	]	X
cana-4452	250	4	e.	e.	PROPN
cana-4452	250	5	alzahrani	alzahrani	PROPN
cana-4452	250	6	and	and	CCONJ
cana-4452	250	7	a.	a.	PROPN
cana-4452	250	8	zeb	zeb	PROPN
cana-4452	250	9	,	,	PUNCT
cana-4452	250	10	stability	stability	NOUN
cana-4452	250	11	analysis	analysis	NOUN
cana-4452	250	12	and	and	CCONJ
cana-4452	250	13	prevention	prevention	NOUN
cana-4452	250	14	strategies	strategy	NOUN
cana-4452	250	15	of	of	ADP
cana-4452	250	16	tobacco	tobacco	NOUN
cana-4452	250	17	smoking	smoking	NOUN
cana-4452	250	18	model	model	NOUN
cana-4452	250	19	,	,	PUNCT
cana-4452	250	20	bound	bind	VERB
cana-4452	250	21	.	.	PUNCT
cana-4452	251	1	value	value	PROPN
cana-4452	251	2	probl	probl	PROPN
cana-4452	251	3	.	.	PUNCT
cana-4452	251	4	,	,	PUNCT
cana-4452	251	5	3	3	NUM
cana-4452	251	6	(	(	PUNCT
cana-4452	251	7	2020	2020	NUM
cana-4452	251	8	)	)	PUNCT
cana-4452	251	9	,	,	PUNCT
cana-4452	251	10	1–13	1–13	NOUN
cana-4452	251	11	,	,	PUNCT
cana-4452	251	12	doi:10.1186	doi:10.1186	NOUN
cana-4452	251	13	/	/	SYM
cana-4452	251	14	s13661	s13661	NOUN
cana-4452	251	15	-	-	PUNCT
cana-4452	251	16	019	019	NUM
cana-4452	251	17	-	-	PUNCT
cana-4452	251	18	01315	01315	NUM
cana-4452	251	19	-	-	SYM
cana-4452	251	20	1	1	NUM
cana-4452	251	21	.	.	PUNCT
cana-4452	252	1	[	[	X
cana-4452	252	2	4	4	NUM
cana-4452	252	3	]	]	PUNCT
cana-4452	252	4	a.	a.	NOUN
cana-4452	252	5	atangana	atangana	PROPN
cana-4452	252	6	and	and	CCONJ
cana-4452	252	7	j.	j.	PROPN
cana-4452	252	8	f.	f.	PROPN
cana-4452	252	9	g´omez	g´omez	PROPN
cana-4452	252	10	-	-	PUNCT
cana-4452	252	11	aguilar	aguilar	ADJ
cana-4452	252	12	,	,	PUNCT
cana-4452	252	13	a	a	DET
cana-4452	252	14	new	new	ADJ
cana-4452	252	15	derivative	derivative	NOUN
cana-4452	252	16	with	with	ADP
cana-4452	252	17	normal	normal	ADJ
cana-4452	252	18	distribution	distribution	NOUN
cana-4452	252	19	kernel	kernel	NOUN
cana-4452	252	20	,	,	PUNCT
cana-4452	252	21	theo	theo	PROPN
cana-4452	252	22	.	.	PUNCT
cana-4452	253	1	meth	meth	PROPN
cana-4452	253	2	.	.	PUNCT
cana-4452	254	1	appl	appl	PROPN
cana-4452	254	2	.	.	PUNCT
cana-4452	255	1	phys	phy	NOUN
cana-4452	255	2	.	.	PUNCT
cana-4452	256	1	a	a	PRON
cana-4452	256	2	,	,	PUNCT
cana-4452	256	3	476	476	NUM
cana-4452	256	4	(	(	PUNCT
cana-4452	256	5	2017	2017	NUM
cana-4452	256	6	)	)	PUNCT
cana-4452	256	7	,	,	PUNCT
cana-4452	256	8	1-–14	1-–14	NUM
cana-4452	256	9	,	,	PUNCT
cana-4452	256	10	doi:10.1016	doi:10.1016	PROPN
cana-4452	256	11	/	/	SYM
cana-4452	256	12	j.physa.2017.02.016	j.physa.2017.02.016	PROPN
cana-4452	256	13	.	.	PUNCT
cana-4452	257	1	14	14	NUM
cana-4452	257	2	.	.	PUNCT
cana-4452	258	1	[	[	X
cana-4452	258	2	5	5	NUM
cana-4452	258	3	]	]	PUNCT
cana-4452	258	4	a.	a.	NOUN
cana-4452	258	5	atangana	atangana	PROPN
cana-4452	258	6	and	and	CCONJ
cana-4452	258	7	j.	j.	PROPN
cana-4452	258	8	f.	f.	PROPN
cana-4452	258	9	g´omez	g´omez	PROPN
cana-4452	258	10	-	-	PUNCT
cana-4452	258	11	aguilar	aguilar	ADJ
cana-4452	258	12	,	,	PUNCT
cana-4452	258	13	hyperchaotic	hyperchaotic	ADJ
cana-4452	258	14	behavior	behavior	NOUN
cana-4452	258	15	obtained	obtain	VERB
cana-4452	258	16	via	via	ADP
cana-4452	258	17	a	a	DET
cana-4452	258	18	nonlocal	nonlocal	ADJ
cana-4452	258	19	operator	operator	NOUN
cana-4452	258	20	with	with	ADP
cana-4452	258	21	exponential	exponential	ADJ
cana-4452	258	22	decay	decay	NOUN
cana-4452	258	23	and	and	CCONJ
cana-4452	258	24	mittag	mittag	ADJ
cana-4452	258	25	-	-	PUNCT
cana-4452	258	26	leffler	leffler	NOUN
cana-4452	258	27	laws	law	NOUN
cana-4452	258	28	,	,	PUNCT
cana-4452	258	29	chaos	chaos	NOUN
cana-4452	258	30	solitons	soliton	NOUN
cana-4452	258	31	fractals	fractal	NOUN
cana-4452	258	32	,	,	PUNCT
cana-4452	258	33	102	102	NUM
cana-4452	258	34	(	(	PUNCT
cana-4452	258	35	2017	2017	NUM
cana-4452	258	36	)	)	PUNCT
cana-4452	258	37	,	,	PUNCT
cana-4452	258	38	285–294	285–294	NUM
cana-4452	258	39	,	,	PUNCT
cana-4452	258	40	doi:10.1016	doi:10.1016	PROPN
cana-4452	258	41	/	/	SYM
cana-4452	258	42	j.chaos.2017.03.022	j.chaos.2017.03.022	PROPN
cana-4452	258	43	.	.	PUNCT
cana-4452	259	1	[	[	X
cana-4452	259	2	6	6	NUM
cana-4452	259	3	]	]	PUNCT
cana-4452	259	4	m.	m.	PROPN
cana-4452	259	5	biswas	biswas	PROPN
cana-4452	259	6	,	,	PUNCT
cana-4452	259	7	model	model	NOUN
cana-4452	259	8	and	and	CCONJ
cana-4452	259	9	control	control	NOUN
cana-4452	259	10	strategy	strategy	NOUN
cana-4452	259	11	of	of	ADP
cana-4452	259	12	the	the	DET
cana-4452	259	13	deadly	deadly	ADJ
cana-4452	259	14	nipah	nipah	PROPN
cana-4452	259	15	virus	virus	NOUN
cana-4452	259	16	(	(	PUNCT
cana-4452	259	17	niv	niv	ADJ
cana-4452	259	18	)	)	PUNCT
cana-4452	259	19	infections	infection	NOUN
cana-4452	259	20	in	in	ADP
cana-4452	259	21	bangladesh	bangladesh	NOUN
cana-4452	259	22	,	,	PUNCT
cana-4452	259	23	res	re	NOUN
cana-4452	259	24	.	.	PUNCT
cana-4452	259	25	rev	rev	PROPN
cana-4452	259	26	.	.	PROPN
cana-4452	260	1	biosci	biosci	PROPN
cana-4452	260	2	.	.	PROPN
cana-4452	260	3	,	,	PUNCT
cana-4452	260	4	6	6	NUM
cana-4452	260	5	(	(	PUNCT
cana-4452	260	6	12	12	NUM
cana-4452	260	7	)	)	PUNCT
cana-4452	260	8	(	(	PUNCT
cana-4452	260	9	2012	2012	NUM
cana-4452	260	10	)	)	PUNCT
cana-4452	260	11	,	,	PUNCT
cana-4452	260	12	370–377	370–377	NUM
cana-4452	260	13	.	.	PUNCT
cana-4452	261	1	[	[	X
cana-4452	261	2	7	7	X
cana-4452	261	3	]	]	PUNCT
cana-4452	261	4	m.	m.	NOUN
cana-4452	261	5	h.	h.	PROPN
cana-4452	261	6	a.	a.	PROPN
cana-4452	261	7	biswas	biswas	PROPN
cana-4452	261	8	,	,	PUNCT
cana-4452	261	9	optimal	optimal	ADJ
cana-4452	261	10	control	control	NOUN
cana-4452	261	11	of	of	ADP
cana-4452	261	12	nipah	nipah	PROPN
cana-4452	261	13	virus	virus	NOUN
cana-4452	261	14	(	(	PUNCT
cana-4452	261	15	niv	niv	ADJ
cana-4452	261	16	)	)	PUNCT
cana-4452	261	17	infections	infection	NOUN
cana-4452	261	18	:	:	PUNCT
cana-4452	261	19	a	a	DET
cana-4452	261	20	bangladesh	bangladesh	NOUN
cana-4452	261	21	scenario	scenario	NOUN
cana-4452	261	22	,	,	PUNCT
cana-4452	261	23	j.	j.	PROPN
cana-4452	261	24	pure	pure	PROPN
cana-4452	261	25	appl	appl	PROPN
cana-4452	261	26	.	.	PUNCT
cana-4452	261	27	math	math	NOUN
cana-4452	261	28	.	.	PUNCT
cana-4452	262	1	adv	adv	PROPN
cana-4452	262	2	.	.	PUNCT
cana-4452	262	3	appl	appl	PROPN
cana-4452	262	4	.	.	PROPN
cana-4452	263	1	,	,	PUNCT
cana-4452	263	2	12	12	NUM
cana-4452	263	3	(	(	PUNCT
cana-4452	263	4	1	1	NUM
cana-4452	263	5	)	)	PUNCT
cana-4452	263	6	(	(	PUNCT
cana-4452	263	7	2014	2014	NUM
cana-4452	263	8	)	)	PUNCT
cana-4452	263	9	.	.	PUNCT
cana-4452	264	1	77	77	NUM
cana-4452	264	2	-	-	SYM
cana-4452	264	3	104	104	NUM
cana-4452	264	4	.	.	PUNCT
cana-4452	265	1	[	[	X
cana-4452	265	2	8	8	NUM
cana-4452	265	3	]	]	PUNCT
cana-4452	265	4	m.	m.	NOUN
cana-4452	265	5	s.	s.	PROPN
cana-4452	265	6	chadha	chadha	PROPN
cana-4452	265	7	,	,	PUNCT
cana-4452	265	8	j.	j.	PROPN
cana-4452	265	9	a.	a.	PROPN
cana-4452	265	10	comer	comer	PROPN
cana-4452	265	11	,	,	PUNCT
cana-4452	265	12	l.	l.	PROPN
cana-4452	265	13	lowe	lowe	PROPN
cana-4452	265	14	,	,	PUNCT
cana-4452	265	15	p.	p.	PROPN
cana-4452	265	16	a.	a.	NOUN
cana-4452	265	17	rota	rota	PROPN
cana-4452	265	18	,	,	PUNCT
cana-4452	266	1	p.	p.	NOUN
cana-4452	266	2	e.	e.	PROPN
cana-4452	266	3	rollin	rollin	PROPN
cana-4452	266	4	,	,	PUNCT
cana-4452	266	5	w.	w.	PROPN
cana-4452	266	6	j.	j.	PROPN
cana-4452	266	7	bellini	bellini	PROPN
cana-4452	266	8	,	,	PUNCT
cana-4452	266	9	t.	t.	PROPN
cana-4452	266	10	g.	g.	PROPN
cana-4452	266	11	ksiazek	ksiazek	PROPN
cana-4452	266	12	and	and	CCONJ
cana-4452	266	13	a.	a.	PROPN
cana-4452	266	14	mishra	mishra	PROPN
cana-4452	266	15	,	,	PUNCT
cana-4452	266	16	nipah	nipah	PROPN
cana-4452	266	17	virus	virus	NOUN
cana-4452	266	18	associated	associate	VERB
cana-4452	266	19	encephalitis	encephalitis	ADJ
cana-4452	266	20	outbreak	outbreak	NOUN
cana-4452	266	21	,	,	PUNCT
cana-4452	266	22	siliguri	siliguri	PROPN
cana-4452	266	23	,	,	PUNCT
cana-4452	266	24	india	india	PROPN
cana-4452	266	25	,	,	PUNCT
cana-4452	266	26	emerg	emerg	VERB
cana-4452	266	27	infect	infect	ADJ
cana-4452	266	28	dis	dis	PROPN
cana-4452	266	29	.	.	PROPN
cana-4452	266	30	,	,	PUNCT
cana-4452	266	31	12	12	NUM
cana-4452	266	32	(	(	PUNCT
cana-4452	266	33	2	2	NUM
cana-4452	266	34	)	)	PUNCT
cana-4452	266	35	(	(	PUNCT
cana-4452	266	36	2006	2006	NUM
cana-4452	266	37	)	)	PUNCT
cana-4452	266	38	,	,	PUNCT
cana-4452	266	39	235	235	NUM
cana-4452	266	40	-	-	SYM
cana-4452	266	41	240	240	NUM
cana-4452	266	42	,	,	PUNCT
cana-4452	266	43	doi:10.3201	doi:10.3201	NOUN
cana-4452	266	44	/	/	SYM
cana-4452	266	45	eid1202.051247	eid1202.051247	PROPN
cana-4452	266	46	.	.	PUNCT
cana-4452	267	1	[	[	X
cana-4452	267	2	9	9	NUM
cana-4452	267	3	]	]	SYM
cana-4452	267	4	d.	d.	PROPN
cana-4452	267	5	k.	k.	PROPN
cana-4452	267	6	chanchal	chanchal	PROPN
cana-4452	267	7	,	,	PUNCT
cana-4452	267	8	s.	s.	PROPN
cana-4452	267	9	alok	alok	PROPN
cana-4452	267	10	,	,	PUNCT
cana-4452	267	11	m.	m.	NOUN
cana-4452	267	12	sabharwal	sabharwal	PROPN
cana-4452	267	13	,	,	PUNCT
cana-4452	267	14	r.	r.	PROPN
cana-4452	267	15	k.	k.	PROPN
cana-4452	267	16	bijauliya	bijauliya	PROPN
cana-4452	267	17	,	,	PUNCT
cana-4452	267	18	and	and	CCONJ
cana-4452	267	19	s.	s.	PROPN
cana-4452	267	20	rashi	rashi	PROPN
cana-4452	267	21	,	,	PUNCT
cana-4452	267	22	nipah	nipah	PROPN
cana-4452	267	23	:	:	PUNCT
cana-4452	267	24	silently	silently	ADV
cana-4452	267	25	rising	rise	VERB
cana-4452	267	26	infection	infection	NOUN
cana-4452	267	27	,	,	PUNCT
cana-4452	267	28	int	int	NOUN
cana-4452	267	29	.	.	PUNCT
cana-4452	268	1	j.	j.	PROPN
cana-4452	268	2	pharm	pharm	PROPN
cana-4452	268	3	.	.	PUNCT
cana-4452	269	1	sci	sci	PROPN
cana-4452	269	2	.	.	PUNCT
cana-4452	269	3	res	res	PROPN
cana-4452	269	4	.	.	PROPN
cana-4452	269	5	,	,	PUNCT
cana-4452	269	6	9	9	NUM
cana-4452	269	7	(	(	PUNCT
cana-4452	269	8	8)	8)	NUM
cana-4452	269	9	(	(	PUNCT
cana-4452	269	10	2018	2018	NUM
cana-4452	269	11	)	)	PUNCT
cana-4452	269	12	,	,	PUNCT
cana-4452	269	13	3128–3135	3128–3135	NUM
cana-4452	269	14	,	,	PUNCT
cana-4452	269	15	doi:10.13040	doi:10.13040	NOUN
cana-4452	269	16	/	/	SYM
cana-4452	269	17	ijpsr.0975	ijpsr.0975	PROPN
cana-4452	269	18	8232.9(8).3128	8232.9(8).3128	PROPN
cana-4452	269	19	-	-	SYM
cana-4452	269	20	35	35	NUM
cana-4452	269	21	.	.	PUNCT
cana-4452	270	1	[	[	X
cana-4452	270	2	10	10	NUM
cana-4452	270	3	]	]	X
cana-4452	270	4	v.	v.	PROPN
cana-4452	270	5	k.	k.	PROPN
cana-4452	270	6	chattu	chattu	PROPN
cana-4452	270	7	,	,	PUNCT
cana-4452	270	8	r.	r.	PROPN
cana-4452	270	9	kumar	kumar	PROPN
cana-4452	270	10	,	,	PUNCT
cana-4452	270	11	s.	s.	PROPN
cana-4452	270	12	kumary	kumary	PROPN
cana-4452	270	13	,	,	PUNCT
cana-4452	270	14	f.	f.	PROPN
cana-4452	270	15	kajal	kajal	PROPN
cana-4452	270	16	,	,	PUNCT
cana-4452	270	17	and	and	CCONJ
cana-4452	270	18	j.	j.	PROPN
cana-4452	270	19	k.	k.	PROPN
cana-4452	270	20	david	david	PROPN
cana-4452	270	21	,	,	PUNCT
cana-4452	270	22	nipah	nipah	PROPN
cana-4452	270	23	virus	virus	NOUN
cana-4452	270	24	epidemic	epidemic	NOUN
cana-4452	270	25	in	in	ADP
cana-4452	270	26	southern	southern	ADJ
cana-4452	270	27	india	india	PROPN
cana-4452	270	28	and	and	CCONJ
cana-4452	270	29	emphasizing	emphasize	VERB
cana-4452	270	30	one	one	NUM
cana-4452	270	31	health	health	NOUN
cana-4452	270	32	approach	approach	NOUN
cana-4452	270	33	to	to	PART
cana-4452	270	34	ensure	ensure	VERB
cana-4452	270	35	global	global	ADJ
cana-4452	270	36	health	health	NOUN
cana-4452	270	37	security	security	NOUN
cana-4452	270	38	,	,	PUNCT
cana-4452	270	39	j.	j.	PROPN
cana-4452	270	40	fam	fam	PROPN
cana-4452	270	41	med	me	VERB
cana-4452	270	42	prim	prim	PROPN
cana-4452	270	43	care	care	NOUN
cana-4452	270	44	,	,	PUNCT
cana-4452	270	45	85	85	NUM
cana-4452	270	46	(	(	PUNCT
cana-4452	270	47	2	2	NUM
cana-4452	270	48	)	)	PUNCT
cana-4452	270	49	(	(	PUNCT
cana-4452	270	50	2018	2018	NUM
cana-4452	270	51	)	)	PUNCT
cana-4452	270	52	,	,	PUNCT
cana-4452	270	53	275–283	275–283	NUM
cana-4452	270	54	,	,	PUNCT
cana-4452	270	55	doi:10.4103	doi:10.4103	X
cana-4452	270	56	/	/	SYM
cana-4452	270	57	jfmpc.jfmpc.137.18	jfmpc.jfmpc.137.18	NOUN
cana-4452	270	58	.	.	PUNCT
cana-4452	271	1	[	[	X
cana-4452	271	2	11	11	NUM
cana-4452	271	3	]	]	X
cana-4452	271	4	h.	h.	PROPN
cana-4452	271	5	t.	t.	PROPN
cana-4452	271	6	chong	chong	PROPN
cana-4452	271	7	,	,	PUNCT
cana-4452	271	8	m.	m.	PROPN
cana-4452	271	9	j.	j.	PROPN
cana-4452	271	10	hossain	hossain	PROPN
cana-4452	271	11	and	and	CCONJ
cana-4452	271	12	c.	c.	PROPN
cana-4452	271	13	t.	t.	PROPN
cana-4452	271	14	tan	tan	PROPN
cana-4452	271	15	,	,	PUNCT
cana-4452	271	16	differences	difference	NOUN
cana-4452	271	17	in	in	ADP
cana-4452	271	18	epidemiological	epidemiological	ADJ
cana-4452	271	19	and	and	CCONJ
cana-4452	271	20	clinical	clinical	ADJ
cana-4452	271	21	features	feature	NOUN
cana-4452	271	22	of	of	ADP
cana-4452	271	23	nipah	nipah	PROPN
cana-4452	271	24	virus	virus	NOUN
cana-4452	271	25	encephalitis	encephalitis	NOUN
cana-4452	271	26	between	between	ADP
cana-4452	271	27	the	the	DET
cana-4452	271	28	malaysian	malaysian	ADJ
cana-4452	271	29	and	and	CCONJ
cana-4452	271	30	bangladesh	bangladesh	NOUN
cana-4452	271	31	outbreaks	outbreak	NOUN
cana-4452	271	32	,	,	PUNCT
cana-4452	271	33	neurology	neurology	NOUN
cana-4452	271	34	asia	asia	PROPN
cana-4452	271	35	,	,	PUNCT
cana-4452	271	36	13	13	NUM
cana-4452	271	37	(	(	PUNCT
cana-4452	271	38	2008	2008	NUM
cana-4452	271	39	)	)	PUNCT
cana-4452	271	40	,	,	PUNCT
cana-4452	271	41	23	23	NUM
cana-4452	271	42	-	-	SYM
cana-4452	271	43	26	26	NUM
cana-4452	271	44	.	.	PUNCT
cana-4452	272	1	[	[	X
cana-4452	272	2	12	12	NUM
cana-4452	272	3	]	]	X
cana-4452	272	4	g.	g.	PROPN
cana-4452	272	5	chowell	chowell	PROPN
cana-4452	272	6	,	,	PUNCT
cana-4452	272	7	n.	n.	PROPN
cana-4452	272	8	w.	w.	PROPN
cana-4452	272	9	hengartner	hengartner	PROPN
cana-4452	272	10	,	,	PUNCT
cana-4452	272	11	c.	c.	PROPN
cana-4452	272	12	castillo	castillo	PROPN
cana-4452	272	13	-	-	PUNCT
cana-4452	272	14	chavez	chavez	PROPN
cana-4452	272	15	,	,	PUNCT
cana-4452	272	16	p.	p.	PROPN
cana-4452	272	17	w.	w.	PROPN
cana-4452	272	18	fenimore	fenimore	PROPN
cana-4452	272	19	and	and	CCONJ
cana-4452	272	20	j.	j.	PROPN
cana-4452	272	21	m.	m.	PROPN
cana-4452	272	22	hyman	hyman	PROPN
cana-4452	272	23	,	,	PUNCT
cana-4452	272	24	the	the	DET
cana-4452	272	25	basic	basic	ADJ
cana-4452	272	26	reproductive	reproductive	ADJ
cana-4452	272	27	number	number	NOUN
cana-4452	272	28	of	of	ADP
cana-4452	272	29	ebola	ebola	PROPN
cana-4452	272	30	and	and	CCONJ
cana-4452	272	31	the	the	DET
cana-4452	272	32	effects	effect	NOUN
cana-4452	272	33	of	of	ADP
cana-4452	272	34	public	public	ADJ
cana-4452	272	35	health	health	NOUN
cana-4452	272	36	measures	measure	NOUN
cana-4452	272	37	:	:	PUNCT
cana-4452	272	38	the	the	DET
cana-4452	272	39	cases	case	NOUN
cana-4452	272	40	of	of	ADP
cana-4452	272	41	congo	congo	PROPN
cana-4452	272	42	and	and	CCONJ
cana-4452	272	43	uganda	uganda	PROPN
cana-4452	272	44	,	,	PUNCT
cana-4452	272	45	j.	j.	PROPN
cana-4452	272	46	theor	theor	PROPN
cana-4452	272	47	.	.	PUNCT
cana-4452	273	1	biol	biol	PROPN
cana-4452	273	2	.	.	PUNCT
cana-4452	273	3	,	,	PUNCT
cana-4452	273	4	229	229	NUM
cana-4452	273	5	(	(	PUNCT
cana-4452	273	6	2004	2004	NUM
cana-4452	273	7	)	)	PUNCT
cana-4452	273	8	,	,	PUNCT
cana-4452	273	9	119	119	NUM
cana-4452	273	10	-	-	SYM
cana-4452	273	11	126	126	NUM
cana-4452	273	12	,	,	PUNCT
cana-4452	273	13	doi:10.1016	doi:10.1016	PROPN
cana-4452	273	14	/	/	SYM
cana-4452	273	15	j.jtbi.2004.03.006	j.jtbi.2004.03.006	PROPN
cana-4452	273	16	.	.	PUNCT
cana-4452	274	1	[	[	X
cana-4452	274	2	13	13	NUM
cana-4452	274	3	]	]	PUNCT
cana-4452	274	4	k.	k.	PROPN
cana-4452	274	5	b.	b.	PROPN
cana-4452	274	6	chua	chua	PROPN
cana-4452	274	7	,	,	PUNCT
cana-4452	274	8	w.	w.	PROPN
cana-4452	274	9	j.	j.	PROPN
cana-4452	274	10	bellini	bellini	PROPN
cana-4452	274	11	,	,	PUNCT
cana-4452	274	12	p.	p.	NOUN
cana-4452	274	13	a.	a.	NOUN
cana-4452	274	14	rota	rota	PROPN
cana-4452	274	15	,	,	PUNCT
cana-4452	274	16	b.	b.	PROPN
cana-4452	274	17	h.	h.	PROPN
cana-4452	274	18	harcourt	harcourt	PROPN
cana-4452	274	19	,	,	PUNCT
cana-4452	274	20	a.tamin	a.tamin	NOUN
cana-4452	274	21	,	,	PUNCT
cana-4452	274	22	s.	s.	PROPN
cana-4452	274	23	k.	k.	PROPN
cana-4452	274	24	lam	lam	PROPN
cana-4452	274	25	,	,	PUNCT
cana-4452	274	26	t.	t.	PROPN
cana-4452	274	27	g.	g.	PROPN
cana-4452	274	28	ksiazek	ksiazek	PROPN
cana-4452	274	29	,	,	PUNCT
cana-4452	274	30	p.	p.	PROPN
cana-4452	274	31	e.	e.	PROPN
cana-4452	274	32	rollin	rollin	PROPN
cana-4452	274	33	and	and	CCONJ
cana-4452	274	34	b.	b.	PROPN
cana-4452	274	35	w.	w.	PROPN
cana-4452	274	36	mahy	mahy	PROPN
cana-4452	274	37	,	,	PUNCT
cana-4452	274	38	nipah	nipah	PROPN
cana-4452	274	39	virus	virus	NOUN
cana-4452	274	40	:	:	PUNCT
cana-4452	274	41	a	a	DET
cana-4452	274	42	recently	recently	ADV
cana-4452	274	43	emergent	emergent	ADJ
cana-4452	274	44	deadly	deadly	ADJ
cana-4452	274	45	paramyxovirus	paramyxovirus	NOUN
cana-4452	274	46	,	,	PUNCT
cana-4452	274	47	j	j	PROPN
cana-4452	274	48	sci	sci	PROPN
cana-4452	274	49	.	.	PROPN
cana-4452	274	50	,	,	PUNCT
cana-4452	274	51	288	288	NUM
cana-4452	274	52	(	(	PUNCT
cana-4452	274	53	5470	5470	NUM
cana-4452	274	54	)	)	PUNCT
cana-4452	274	55	(	(	PUNCT
cana-4452	274	56	2000	2000	NUM
cana-4452	274	57	)	)	PUNCT
cana-4452	274	58	,	,	PUNCT
cana-4452	274	59	1432	1432	NUM
cana-4452	274	60	-	-	SYM
cana-4452	274	61	1435	1435	NUM
cana-4452	274	62	,	,	PUNCT
cana-4452	274	63	doi:10.1126	doi:10.1126	NOUN
cana-4452	274	64	/	/	SYM
cana-4452	274	65	science.288.5470.1432	science.288.5470.1432	NOUN
cana-4452	274	66	.	.	PUNCT
cana-4452	275	1	[	[	X
cana-4452	275	2	14	14	NUM
cana-4452	275	3	]	]	X
cana-4452	275	4	h.	h.	NOUN
cana-4452	275	5	field	field	PROPN
cana-4452	275	6	,	,	PUNCT
cana-4452	275	7	p.	p.	PROPN
cana-4452	275	8	young	young	PROPN
cana-4452	275	9	,	,	PUNCT
cana-4452	275	10	j.	j.	PROPN
cana-4452	275	11	m.	m.	PROPN
cana-4452	275	12	yob	yob	PROPN
cana-4452	275	13	,	,	PUNCT
cana-4452	275	14	j.	j.	PROPN
cana-4452	275	15	mills	mills	PROPN
cana-4452	275	16	,	,	PUNCT
cana-4452	275	17	l.	l.	PROPN
cana-4452	275	18	hall	hall	PROPN
cana-4452	275	19	and	and	CCONJ
cana-4452	275	20	j.	j.	PROPN
cana-4452	275	21	mackenzie	mackenzie	PROPN
cana-4452	275	22	,	,	PUNCT
cana-4452	275	23	the	the	DET
cana-4452	275	24	natural	natural	ADJ
cana-4452	275	25	history	history	NOUN
cana-4452	275	26	of	of	ADP
cana-4452	275	27	hendra	hendra	PROPN
cana-4452	275	28	and	and	CCONJ
cana-4452	275	29	nipah	nipah	NOUN
cana-4452	275	30	viruses	virus	NOUN
cana-4452	275	31	,	,	PUNCT
cana-4452	275	32	microbes	microbe	NOUN
cana-4452	275	33	and	and	CCONJ
cana-4452	275	34	infection	infection	NOUN
cana-4452	275	35	,	,	PUNCT
cana-4452	275	36	3	3	NUM
cana-4452	275	37	(	(	PUNCT
cana-4452	275	38	4	4	NUM
cana-4452	275	39	)	)	PUNCT
cana-4452	275	40	(	(	PUNCT
cana-4452	275	41	2001	2001	NUM
cana-4452	275	42	)	)	PUNCT
cana-4452	275	43	,	,	PUNCT
cana-4452	275	44	307	307	NUM
cana-4452	275	45	-	-	SYM
cana-4452	275	46	314	314	NUM
cana-4452	275	47	,	,	PUNCT
cana-4452	275	48	doi:10.1016	doi:10.1016	PROPN
cana-4452	275	49	/	/	SYM
cana-4452	275	50	s1286communications	s1286communication	NOUN
cana-4452	275	51	on	on	ADP
cana-4452	275	52	applied	apply	VERB
cana-4452	275	53	nonlinear	nonlinear	ADJ
cana-4452	275	54	analysis	analysis	NOUN
cana-4452	275	55	issn	issn	NOUN
cana-4452	275	56	:	:	PUNCT
cana-4452	275	57	1074	1074	NUM
cana-4452	275	58	-	-	PUNCT
cana-4452	275	59	133x	133x	NUM
cana-4452	275	60	vol	vol	NOUN
cana-4452	275	61	32	32	NUM
cana-4452	275	62	no	no	NOUN
cana-4452	275	63	.	.	PUNCT
cana-4452	276	1	9s	9s	NUM
cana-4452	276	2	(	(	PUNCT
cana-4452	276	3	2025	2025	NUM
cana-4452	276	4	)	)	PUNCT
cana-4452	276	5	2127	2127	NUM
cana-4452	276	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4452	276	7	4579(01)01384	4579(01)01384	NUM
cana-4452	276	8	-	-	SYM
cana-4452	276	9	3	3	NUM
cana-4452	276	10	.	.	PUNCT
cana-4452	277	1	[	[	X
cana-4452	277	2	15	15	NUM
cana-4452	277	3	]	]	X
cana-4452	277	4	h.	h.	PROPN
cana-4452	277	5	f.	f.	PROPN
cana-4452	277	6	huo	huo	PROPN
cana-4452	277	7	,	,	PUNCT
cana-4452	277	8	r.	r.	PROPN
cana-4452	277	9	chen	chen	PROPN
cana-4452	277	10	and	and	CCONJ
cana-4452	277	11	x.y	x.y	PROPN
cana-4452	277	12	.	.	PROPN
cana-4452	277	13	wang	wang	PROPN
cana-4452	277	14	,	,	PUNCT
cana-4452	277	15	modelling	modelling	NOUN
cana-4452	277	16	and	and	CCONJ
cana-4452	277	17	stability	stability	NOUN
cana-4452	277	18	of	of	ADP
cana-4452	277	19	hiv	hiv	PROPN
cana-4452	277	20	/	/	SYM
cana-4452	277	21	aids	aids	PROPN
cana-4452	277	22	epidemic	epidemic	NOUN
cana-4452	277	23	model	model	NOUN
cana-4452	277	24	with	with	ADP
cana-4452	277	25	treatment	treatment	NOUN
cana-4452	277	26	,	,	PUNCT
cana-4452	277	27	appl	appl	PROPN
cana-4452	277	28	.	.	PROPN
cana-4452	277	29	math	math	PROPN
cana-4452	277	30	.	.	PUNCT
cana-4452	278	1	model	model	PROPN
cana-4452	278	2	.	.	PROPN
cana-4452	279	1	,	,	PUNCT
cana-4452	279	2	40	40	NUM
cana-4452	279	3	(	(	PUNCT
cana-4452	279	4	13	13	NUM
cana-4452	279	5	)	)	PUNCT
cana-4452	279	6	(	(	PUNCT
cana-4452	279	7	2016	2016	NUM
cana-4452	279	8	)	)	PUNCT
cana-4452	279	9	,	,	PUNCT
cana-4452	279	10	6550–6559	6550–6559	NUM
cana-4452	279	11	,	,	PUNCT
cana-4452	279	12	doi:10.1016	doi:10.1016	PROPN
cana-4452	279	13	/	/	SYM
cana-4452	279	14	j.apm.2016.01.054	j.apm.2016.01.054	PROPN
cana-4452	279	15	.	.	PUNCT
cana-4452	280	1	[	[	X
cana-4452	280	2	16	16	NUM
cana-4452	280	3	]	]	PUNCT
cana-4452	280	4	k.	k.	PROPN
cana-4452	280	5	m.	m.	PROPN
cana-4452	280	6	owolabi	owolabi	NOUN
cana-4452	280	7	and	and	CCONJ
cana-4452	280	8	a.	a.	PROPN
cana-4452	280	9	atangana	atangana	PROPN
cana-4452	280	10	,	,	PUNCT
cana-4452	280	11	mathematical	mathematical	ADJ
cana-4452	280	12	analysis	analysis	NOUN
cana-4452	280	13	and	and	CCONJ
cana-4452	280	14	computational	computational	ADJ
cana-4452	280	15	experiments	experiment	NOUN
cana-4452	280	16	for	for	ADP
cana-4452	280	17	an	an	DET
cana-4452	280	18	epidemic	epidemic	NOUN
cana-4452	280	19	system	system	NOUN
cana-4452	280	20	with	with	ADP
cana-4452	280	21	nonlocal	nonlocal	ADJ
cana-4452	280	22	and	and	CCONJ
cana-4452	280	23	nonsingular	nonsingular	ADJ
cana-4452	280	24	derivative	derivative	ADJ
cana-4452	280	25	,	,	PUNCT
cana-4452	280	26	chaos	chaos	NOUN
cana-4452	280	27	solitons	soliton	NOUN
cana-4452	280	28	and	and	CCONJ
cana-4452	280	29	fractals	fractal	NOUN
cana-4452	280	30	,	,	PUNCT
cana-4452	280	31	126	126	NUM
cana-4452	280	32	(	(	PUNCT
cana-4452	280	33	2019	2019	NUM
cana-4452	280	34	)	)	PUNCT
cana-4452	280	35	,	,	PUNCT
cana-4452	280	36	41–49	41–49	NUM
cana-4452	280	37	,	,	PUNCT
cana-4452	280	38	doi:10.1016	doi:10.1016	PROPN
cana-4452	280	39	/	/	SYM
cana-4452	280	40	j.chaos.2019.06.001	j.chaos.2019.06.001	PROPN
cana-4452	280	41	.	.	PUNCT
cana-4452	281	1	[	[	X
cana-4452	281	2	17	17	NUM
cana-4452	281	3	]	]	X
cana-4452	281	4	v.	v.	ADP
cana-4452	281	5	padmavathi	padmavathi	PROPN
cana-4452	281	6	,	,	PUNCT
cana-4452	281	7	a.	a.	PROPN
cana-4452	281	8	prakash	prakash	PROPN
cana-4452	281	9	,	,	PUNCT
cana-4452	281	10	k.	k.	PROPN
cana-4452	281	11	alagesan	alagesan	PROPN
cana-4452	281	12	,	,	PUNCT
cana-4452	281	13	n.	n.	PROPN
cana-4452	281	14	magesh	magesh	PROPN
cana-4452	281	15	,	,	PUNCT
cana-4452	281	16	analysis	analysis	NOUN
cana-4452	281	17	and	and	CCONJ
cana-4452	281	18	numerical	numerical	ADJ
cana-4452	281	19	simulation	simulation	NOUN
cana-4452	281	20	of	of	ADP
cana-4452	281	21	novel	novel	ADJ
cana-4452	281	22	coronavirus	coronavirus	NOUN
cana-4452	281	23	(	(	PUNCT
cana-4452	281	24	covid-19	covid-19	PROPN
cana-4452	281	25	)	)	PUNCT
cana-4452	281	26	model	model	NOUN
cana-4452	281	27	with	with	ADP
cana-4452	281	28	mittag	mittag	ADJ
cana-4452	281	29	-	-	PUNCT
cana-4452	281	30	leffler	leffler	NOUN
cana-4452	281	31	kernel	kernel	NOUN
cana-4452	281	32	.	.	PUNCT
cana-4452	282	1	math	math	NOUN
cana-4452	282	2	.	.	PUNCT
cana-4452	283	1	method	method	PROPN
cana-4452	283	2	appl	appl	PROPN
cana-4452	283	3	.	.	PUNCT
cana-4452	284	1	sci	sci	PROPN
cana-4452	284	2	.	.	PROPN
cana-4452	284	3	,	,	PUNCT
cana-4452	284	4	44	44	NUM
cana-4452	284	5	(	(	PUNCT
cana-4452	284	6	2	2	NUM
cana-4452	284	7	)	)	PUNCT
cana-4452	284	8	(	(	PUNCT
cana-4452	284	9	2021	2021	NUM
cana-4452	284	10	)	)	PUNCT
cana-4452	284	11	,	,	PUNCT
cana-4452	284	12	1863	1863	NUM
cana-4452	284	13	-	-	SYM
cana-4452	284	14	1877	1877	NUM
cana-4452	284	15	,	,	PUNCT
cana-4452	284	16	doi:10.1002	doi:10.1002	NOUN
cana-4452	284	17	/	/	SYM
cana-4452	284	18	mma.6886	mma.6886	PROPN
cana-4452	284	19	.	.	PUNCT
cana-4452	285	1	[	[	X
cana-4452	285	2	18	18	NUM
cana-4452	285	3	]	]	X
cana-4452	285	4	v.	v.	ADP
cana-4452	285	5	padmavathi	padmavathi	PROPN
cana-4452	285	6	,	,	PUNCT
cana-4452	285	7	n.	n.	PROPN
cana-4452	285	8	magesh	magesh	PROPN
cana-4452	285	9	,	,	PUNCT
cana-4452	285	10	k.	k.	PROPN
cana-4452	285	11	alagesan	alagesan	PROPN
cana-4452	285	12	,	,	PUNCT
cana-4452	285	13	m.	m.	PROPN
cana-4452	285	14	i.	i.	PROPN
cana-4452	285	15	khan	khan	PROPN
cana-4452	285	16	,	,	PUNCT
cana-4452	285	17	s.	s.	PROPN
cana-4452	285	18	elattar	elattar	PROPN
cana-4452	285	19	,	,	PUNCT
cana-4452	285	20	m.	m.	PROPN
cana-4452	285	21	alwetaishi	alwetaishi	PROPN
cana-4452	285	22	,	,	PUNCT
cana-4452	285	23	and	and	CCONJ
cana-4452	285	24	a.	a.	NOUN
cana-4452	285	25	m.	m.	PROPN
cana-4452	285	26	galal	galal	PROPN
cana-4452	285	27	,	,	PUNCT
cana-4452	285	28	numerical	numerical	ADJ
cana-4452	285	29	modeling	modeling	NOUN
cana-4452	285	30	and	and	CCONJ
cana-4452	285	31	symmetry	symmetry	NOUN
cana-4452	285	32	analysis	analysis	NOUN
cana-4452	285	33	of	of	ADP
cana-4452	285	34	a	a	DET
cana-4452	285	35	pine	pine	ADJ
cana-4452	285	36	wilt	wilt	ADJ
cana-4452	285	37	disease	disease	NOUN
cana-4452	285	38	model	model	NOUN
cana-4452	285	39	using	use	VERB
cana-4452	285	40	the	the	DET
cana-4452	285	41	mittag	mittag	ADJ
cana-4452	285	42	-	-	PUNCT
cana-4452	285	43	leffler	leffler	NOUN
cana-4452	285	44	kernel	kernel	NOUN
cana-4452	285	45	,	,	PUNCT
cana-4452	285	46	symmetry	symmetry	NOUN
cana-4452	285	47	,	,	PUNCT
cana-4452	285	48	14	14	NUM
cana-4452	285	49	(	(	PUNCT
cana-4452	285	50	2022	2022	NUM
cana-4452	285	51	)	)	PUNCT
cana-4452	285	52	,	,	PUNCT
cana-4452	285	53	1–15	1–15	NUM
cana-4452	285	54	,	,	PUNCT
cana-4452	285	55	doi:10.3390	doi:10.3390	NOUN
cana-4452	285	56	/	/	SYM
cana-4452	285	57	sym14051067	sym14051067	NOUN
cana-4452	285	58	.	.	PUNCT
cana-4452	286	1	[	[	X
cana-4452	286	2	19	19	NUM
cana-4452	286	3	]	]	PUNCT
cana-4452	286	4	s.	s.	PROPN
cana-4452	286	5	pathak	pathak	PROPN
cana-4452	286	6	,	,	PUNCT
cana-4452	286	7	a.	a.	NOUN
cana-4452	286	8	maiti	maiti	PROPN
cana-4452	286	9	,	,	PUNCT
cana-4452	286	10	g.	g.	PROPN
cana-4452	286	11	samanta	samanta	PROPN
cana-4452	286	12	and	and	CCONJ
cana-4452	286	13	rich	rich	ADJ
cana-4452	286	14	dynamics	dynamic	NOUN
cana-4452	286	15	of	of	ADP
cana-4452	286	16	an	an	DET
cana-4452	286	17	sir	sir	NOUN
cana-4452	286	18	epidemic	epidemic	NOUN
cana-4452	286	19	model	model	NOUN
cana-4452	286	20	,	,	PUNCT
cana-4452	286	21	nonlinear	nonlinear	ADJ
cana-4452	286	22	anal	anal	PROPN
cana-4452	286	23	.	.	PUNCT
cana-4452	286	24	model	model	PROPN
cana-4452	286	25	.	.	PUNCT
cana-4452	287	1	control	control	NOUN
cana-4452	287	2	,	,	PUNCT
cana-4452	287	3	15	15	NUM
cana-4452	287	4	(	(	PUNCT
cana-4452	287	5	1	1	NUM
cana-4452	287	6	)	)	PUNCT
cana-4452	287	7	(	(	PUNCT
cana-4452	287	8	2010	2010	NUM
cana-4452	287	9	)	)	PUNCT
cana-4452	287	10	,	,	PUNCT
cana-4452	287	11	71-–81	71-–81	NUM
cana-4452	287	12	,	,	PUNCT
cana-4452	287	13	doi:10.15388	doi:10.15388	NOUN
cana-4452	287	14	/	/	SYM
cana-4452	287	15	na.2010.15.1.14365	na.2010.15.1.14365	NOUN
cana-4452	287	16	.	.	PUNCT
cana-4452	288	1	[	[	X
cana-4452	288	2	20	20	NUM
cana-4452	288	3	]	]	PUNCT
cana-4452	288	4	a.	a.	NOUN
cana-4452	288	5	prakash	prakash	PROPN
cana-4452	288	6	,	,	PUNCT
cana-4452	288	7	m.	m.	NOUN
cana-4452	288	8	goyal	goyal	PROPN
cana-4452	288	9	,	,	PUNCT
cana-4452	288	10	h.	h.	PROPN
cana-4452	288	11	m.	m.	PROPN
cana-4452	288	12	baskonus	baskonus	PROPN
cana-4452	288	13	and	and	CCONJ
cana-4452	288	14	s.	s.	PROPN
cana-4452	288	15	gupta	gupta	PROPN
cana-4452	288	16	,	,	PUNCT
cana-4452	288	17	a	a	DET
cana-4452	288	18	reliable	reliable	ADJ
cana-4452	288	19	hybrid	hybrid	ADJ
cana-4452	288	20	numerical	numerical	ADJ
cana-4452	288	21	method	method	NOUN
cana-4452	288	22	for	for	ADP
cana-4452	288	23	a	a	DET
cana-4452	288	24	time	time	NOUN
cana-4452	288	25	dependent	dependent	ADJ
cana-4452	288	26	vibration	vibration	NOUN
cana-4452	288	27	model	model	NOUN
cana-4452	288	28	of	of	ADP
cana-4452	288	29	arbitrary	arbitrary	ADJ
cana-4452	288	30	order	order	NOUN
cana-4452	288	31	,	,	PUNCT
cana-4452	288	32	aims	aim	VERB
cana-4452	288	33	math	math	NOUN
cana-4452	288	34	.	.	PUNCT
cana-4452	289	1	,	,	PUNCT
cana-4452	289	2	5	5	NUM
cana-4452	289	3	(	(	PUNCT
cana-4452	289	4	2	2	NUM
cana-4452	289	5	)	)	PUNCT
cana-4452	289	6	(	(	PUNCT
cana-4452	289	7	2020	2020	NUM
cana-4452	289	8	)	)	PUNCT
cana-4452	289	9	,	,	PUNCT
cana-4452	289	10	979	979	NUM
cana-4452	289	11	-	-	SYM
cana-4452	289	12	1000	1000	NUM
cana-4452	289	13	,	,	PUNCT
cana-4452	289	14	doi:10.3934	doi:10.3934	NOUN
cana-4452	289	15	/	/	SYM
cana-4452	289	16	math.2020068	math.2020068	PROPN
cana-4452	289	17	.	.	PUNCT
cana-4452	290	1	[	[	X
cana-4452	290	2	21	21	NUM
cana-4452	290	3	]	]	PUNCT
cana-4452	290	4	a.	a.	NOUN
cana-4452	290	5	prakash	prakash	PROPN
cana-4452	290	6	and	and	CCONJ
cana-4452	290	7	h.	h.	PROPN
cana-4452	290	8	kaur	kaur	PROPN
cana-4452	290	9	,	,	PUNCT
cana-4452	290	10	numerical	numerical	ADJ
cana-4452	290	11	solution	solution	NOUN
cana-4452	290	12	for	for	ADP
cana-4452	290	13	fractional	fractional	ADJ
cana-4452	290	14	model	model	NOUN
cana-4452	290	15	of	of	ADP
cana-4452	290	16	fokker	fokker	NOUN
cana-4452	290	17	-	-	PUNCT
cana-4452	290	18	planck	planck	NOUN
cana-4452	290	19	equation	equation	NOUN
cana-4452	290	20	by	by	ADP
cana-4452	290	21	using	use	VERB
cana-4452	290	22	q	q	NOUN
cana-4452	290	23	-	-	PUNCT
cana-4452	290	24	hatm	hatm	ADJ
cana-4452	290	25	,	,	PUNCT
cana-4452	290	26	chaos	chaos	NOUN
cana-4452	290	27	solitons	soliton	NOUN
cana-4452	290	28	fractals	fractal	VERB
cana-4452	290	29	105	105	NUM
cana-4452	290	30	(	(	PUNCT
cana-4452	290	31	2017	2017	NUM
cana-4452	290	32	)	)	PUNCT
cana-4452	290	33	,	,	PUNCT
cana-4452	290	34	99	99	NUM
cana-4452	290	35	-	-	SYM
cana-4452	290	36	110	110	NUM
cana-4452	290	37	,	,	PUNCT
cana-4452	290	38	doi:10.1016	doi:10.1016	PROPN
cana-4452	290	39	/	/	SYM
cana-4452	290	40	j.chaos.2017.10.003	j.chaos.2017.10.003	PROPN
cana-4452	290	41	.	.	PUNCT
cana-4452	291	1	[	[	X
cana-4452	291	2	22	22	NUM
cana-4452	291	3	]	]	PUNCT
cana-4452	291	4	a.	a.	NOUN
cana-4452	291	5	prakash	prakash	PROPN
cana-4452	291	6	and	and	CCONJ
cana-4452	291	7	h.	h.	PROPN
cana-4452	291	8	kaur	kaur	PROPN
cana-4452	291	9	,	,	PUNCT
cana-4452	291	10	analysis	analysis	NOUN
cana-4452	291	11	and	and	CCONJ
cana-4452	291	12	numerical	numerical	ADJ
cana-4452	291	13	simulation	simulation	NOUN
cana-4452	291	14	of	of	ADP
cana-4452	291	15	fractional	fractional	ADJ
cana-4452	291	16	order	order	NOUN
cana-4452	291	17	chan	chan	NOUN
cana-4452	291	18	-	-	PUNCT
cana-4452	291	19	allen	allen	PROPN
cana-4452	291	20	model	model	NOUN
cana-4452	291	21	with	with	ADP
cana-4452	291	22	atangana	atangana	PROPN
cana-4452	291	23	-	-	PUNCT
cana-4452	291	24	baleanu	baleanu	ADJ
cana-4452	291	25	derivatives	derivative	NOUN
cana-4452	291	26	,	,	PUNCT
cana-4452	291	27	chaos	chaos	NOUN
cana-4452	291	28	solitons	soliton	NOUN
cana-4452	291	29	fractals	fractal	NOUN
cana-4452	291	30	,	,	PUNCT
cana-4452	291	31	124	124	NUM
cana-4452	291	32	(	(	PUNCT
cana-4452	291	33	2019	2019	NUM
cana-4452	291	34	)	)	PUNCT
cana-4452	291	35	,	,	PUNCT
cana-4452	291	36	134–142	134–142	NUM
cana-4452	291	37	,	,	PUNCT
cana-4452	291	38	doi:10.1016	doi:10.1016	PROPN
cana-4452	291	39	/	/	SYM
cana-4452	291	40	j.chaos.2019.05.005	j.chaos.2019.05.005	PROPN
cana-4452	291	41	.	.	PUNCT
cana-4452	292	1	[	[	X
cana-4452	292	2	23	23	NUM
cana-4452	292	3	]	]	PUNCT
cana-4452	292	4	j.	j.	PROPN
cana-4452	292	5	singh	singh	PROPN
cana-4452	292	6	,	,	PUNCT
cana-4452	292	7	d.	d.	PROPN
cana-4452	292	8	kumar	kumar	PROPN
cana-4452	292	9	and	and	CCONJ
cana-4452	292	10	d.	d.	PROPN
cana-4452	292	11	baleanu	baleanu	PROPN
cana-4452	292	12	,	,	PUNCT
cana-4452	292	13	new	new	ADJ
cana-4452	292	14	aspects	aspect	NOUN
cana-4452	292	15	of	of	ADP
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cana-4452	292	19	milovic	milovic	PROPN
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cana-4452	292	22	mittag	mittag	ADJ
cana-4452	292	23	-	-	PUNCT
cana-4452	292	24	leffler	leffler	NOUN
cana-4452	292	25	law	law	NOUN
cana-4452	292	26	,	,	PUNCT
cana-4452	292	27	math	math	NOUN
cana-4452	292	28	.	.	PUNCT
cana-4452	292	29	model	model	PROPN
cana-4452	292	30	.	.	PUNCT
cana-4452	293	1	nat	nat	PROPN
cana-4452	293	2	.	.	PUNCT
cana-4452	294	1	phenom	phenom	PROPN
cana-4452	294	2	.	.	PUNCT
cana-4452	295	1	,	,	PUNCT
cana-4452	295	2	14	14	NUM
cana-4452	295	3	(	(	PUNCT
cana-4452	295	4	3	3	NUM
cana-4452	295	5	)	)	PUNCT
cana-4452	295	6	(	(	PUNCT
cana-4452	295	7	2019	2019	NUM
cana-4452	295	8	)	)	PUNCT
cana-4452	295	9	,	,	PUNCT
cana-4452	295	10	1–23	1–23	NOUN
cana-4452	295	11	,	,	PUNCT
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cana-4452	295	13	/	/	SYM
cana-4452	295	14	mmnp/2018068	mmnp/2018068	VERB
cana-4452	295	15	.	.	PUNCT
cana-4452	296	1	[	[	X
cana-4452	296	2	24	24	NUM
cana-4452	296	3	]	]	PUNCT
cana-4452	296	4	j.	j.	PROPN
cana-4452	296	5	sultana	sultana	PROPN
cana-4452	296	6	and	and	CCONJ
cana-4452	296	7	c.	c.	PROPN
cana-4452	296	8	n.	n.	PROPN
cana-4452	296	9	podder	podder	PROPN
cana-4452	296	10	,	,	PUNCT
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cana-4452	296	12	analysis	analysis	NOUN
cana-4452	296	13	of	of	ADP
cana-4452	296	14	nipah	nipah	NOUN
cana-4452	296	15	virus	virus	NOUN
cana-4452	296	16	infections	infection	NOUN
cana-4452	296	17	using	use	VERB
cana-4452	296	18	optimal	optimal	ADJ
cana-4452	296	19	control	control	NOUN
cana-4452	296	20	theory	theory	NOUN
cana-4452	296	21	,	,	PUNCT
cana-4452	296	22	j.	j.	PROPN
cana-4452	296	23	app	app	PROPN
cana-4452	296	24	.	.	PUNCT
cana-4452	297	1	maths	maths	PROPN
cana-4452	297	2	.	.	PUNCT
cana-4452	298	1	phy	phy	PROPN
cana-4452	298	2	.	.	PROPN
cana-4452	298	3	,	,	PUNCT
cana-4452	298	4	4	4	NUM
cana-4452	298	5	(	(	PUNCT
cana-4452	298	6	2016	2016	NUM
cana-4452	298	7	)	)	PUNCT
cana-4452	298	8	,	,	PUNCT
cana-4452	298	9	1099	1099	NUM
cana-4452	298	10	-	-	SYM
cana-4452	298	11	1111	1111	NUM
cana-4452	298	12	,	,	PUNCT
cana-4452	298	13	doi:10.4236	doi:10.4236	PROPN
cana-4452	298	14	/	/	SYM
cana-4452	298	15	jamp.2016.46114	jamp.2016.46114	PROPN
cana-4452	298	16	.	.	PUNCT
cana-4452	299	1	[	[	X
cana-4452	299	2	25	25	NUM
cana-4452	299	3	]	]	PUNCT
cana-4452	299	4	s.	s.	PROPN
cana-4452	299	5	thakur	thakur	PROPN
cana-4452	299	6	,	,	PUNCT
cana-4452	299	7	v.	v.	ADP
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cana-4452	299	9	,	,	PUNCT
cana-4452	299	10	a.	a.	PROPN
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cana-4452	299	13	s.	s.	PROPN
cana-4452	299	14	k.	k.	PROPN
cana-4452	299	15	srivastava	srivastava	PROPN
cana-4452	299	16	,	,	PUNCT
cana-4452	299	17	a	a	DET
cana-4452	299	18	time	time	NOUN
cana-4452	299	19	-	-	PUNCT
cana-4452	299	20	fractional	fractional	ADJ
cana-4452	299	21	order	order	NOUN
cana-4452	299	22	hiv	hiv	PROPN
cana-4452	299	23	/	/	SYM
cana-4452	299	24	aids	aids	PROPN
cana-4452	299	25	epidemic	epidemic	NOUN
cana-4452	299	26	model	model	NOUN
cana-4452	299	27	woth	woth	PROPN
cana-4452	299	28	q	q	NOUN
cana-4452	299	29	-	-	PUNCT
cana-4452	299	30	hatm	hatm	ADJ
cana-4452	299	31	.	.	PUNCT
cana-4452	300	1	int	int	NOUN
cana-4452	300	2	.	.	PUNCT
cana-4452	301	1	j.	j.	PROPN
cana-4452	301	2	appl	appl	PROPN
cana-4452	301	3	.	.	PUNCT
cana-4452	302	1	comput	comput	PROPN
cana-4452	302	2	.	.	PUNCT
cana-4452	303	1	math	math	NOUN
cana-4452	303	2	.	.	PUNCT
cana-4452	303	3	,	,	PUNCT
cana-4452	304	1	10(26	10(26	NUM
cana-4452	304	2	)	)	PUNCT
cana-4452	304	3	(	(	PUNCT
cana-4452	304	4	2024	2024	NUM
cana-4452	304	5	)	)	PUNCT
cana-4452	304	6	,	,	PUNCT
cana-4452	304	7	doi	doi	NOUN
cana-4452	304	8	:	:	PUNCT
cana-4452	304	9	10.1007	10.1007	NUM
cana-4452	304	10	/	/	SYM
cana-4452	304	11	s40819	s40819	NOUN
cana-4452	304	12	-	-	PUNCT
cana-4452	304	13	023	023	NUM
cana-4452	304	14	-	-	PUNCT
cana-4452	304	15	01664	01664	NUM
cana-4452	304	16	-	-	SYM
cana-4452	304	17	7	7	NUM
cana-4452	304	18	.	.	PUNCT
cana-4452	305	1	[	[	X
cana-4452	305	2	26	26	NUM
cana-4452	305	3	]	]	X
cana-4452	305	4	p.	p.	NOUN
cana-4452	305	5	veeresha	veeresha	PROPN
cana-4452	305	6	,	,	PUNCT
cana-4452	305	7	d.	d.	PROPN
cana-4452	305	8	g.	g.	PROPN
cana-4452	305	9	prakasha	prakasha	PROPN
cana-4452	305	10	,	,	PUNCT
cana-4452	305	11	n.	n.	PROPN
cana-4452	305	12	magesh	magesh	PROPN
cana-4452	305	13	,	,	PUNCT
cana-4452	305	14	a.	a.	PROPN
cana-4452	305	15	john	john	PROPN
cana-4452	305	16	christopher	christopher	PROPN
cana-4452	305	17	,	,	PUNCT
cana-4452	305	18	d.	d.	PROPN
cana-4452	305	19	u.	u.	PROPN
cana-4452	305	20	sarwe	sarwe	PROPN
cana-4452	305	21	,	,	PUNCT
cana-4452	305	22	solution	solution	NOUN
cana-4452	305	23	for	for	ADP
cana-4452	305	24	fractional	fractional	ADJ
cana-4452	305	25	potential	potential	ADJ
cana-4452	305	26	kdv	kdv	NOUN
cana-4452	305	27	and	and	CCONJ
cana-4452	305	28	benjamin	benjamin	PROPN
cana-4452	305	29	equations	equation	NOUN
cana-4452	305	30	using	use	VERB
cana-4452	305	31	the	the	DET
cana-4452	305	32	novel	novel	ADJ
cana-4452	305	33	technique	technique	NOUN
cana-4452	305	34	,	,	PUNCT
cana-4452	305	35	j.	j.	PROPN
cana-4452	305	36	ocean	ocean	PROPN
cana-4452	305	37	eng	eng	PROPN
cana-4452	305	38	sci	sci	PROPN
cana-4452	305	39	.	.	PROPN
cana-4452	305	40	,	,	PUNCT
cana-4452	305	41	6	6	NUM
cana-4452	305	42	(	(	PUNCT
cana-4452	305	43	2021	2021	NUM
cana-4452	305	44	)	)	PUNCT
cana-4452	305	45	,	,	PUNCT
cana-4452	305	46	265–275	265–275	NUM
cana-4452	305	47	,	,	PUNCT
cana-4452	305	48	doi:10.1016	doi:10.1016	PROPN
cana-4452	305	49	/	/	SYM
cana-4452	305	50	j.joes.2021.01.003	j.joes.2021.01.003	PROPN
cana-4452	305	51	.	.	PUNCT