id	sid	tid	token	lemma	pos
cana-4453	1	1	communications	communication	NOUN
cana-4453	1	2	on	on	ADP
cana-4453	1	3	applied	apply	VERB
cana-4453	1	4	nonlinear	nonlinear	ADJ
cana-4453	1	5	analysis	analysis	NOUN
cana-4453	1	6	issn	issn	NOUN
cana-4453	1	7	:	:	PUNCT
cana-4453	1	8	1074	1074	NUM
cana-4453	1	9	-	-	PUNCT
cana-4453	1	10	133x	133x	NUM
cana-4453	1	11	vol	vol	NOUN
cana-4453	1	12	32	32	NUM
cana-4453	1	13	no	no	NOUN
cana-4453	1	14	.	.	PUNCT
cana-4453	2	1	9s	9s	NUM
cana-4453	2	2	(	(	PUNCT
cana-4453	2	3	2025	2025	NUM
cana-4453	2	4	)	)	PUNCT
cana-4453	2	5	2128	2128	NUM
cana-4453	3	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	3	2	stability	stability	NOUN
cana-4453	3	3	analysis	analysis	NOUN
cana-4453	3	4	by	by	ADP
cana-4453	3	5	routh	routh	PROPN
cana-4453	3	6	hurwitz	hurwitz	PROPN
cana-4453	3	7	on	on	ADP
cana-4453	3	8	dengue	dengue	NOUN
cana-4453	3	9	epidemic	epidemic	PROPN
cana-4453	3	10	model	model	PROPN
cana-4453	3	11	kaveri	kaveri	PROPN
cana-4453	3	12	kanchan	kanchan	PROPN
cana-4453	3	13	kumari	kumari	PROPN
cana-4453	3	14	1	1	NUM
cana-4453	3	15	,	,	PUNCT
cana-4453	3	16	pawan	pawan	PROPN
cana-4453	3	17	kumar2	kumar2	PROPN
cana-4453	3	18	,	,	PUNCT
cana-4453	3	19	sujata	sujata	PROPN
cana-4453	3	20	bala3	bala3	PROPN
cana-4453	3	21	,	,	PUNCT
cana-4453	3	22	rahidas	rahida	VERB
cana-4453	3	23	kumar4	kumar4	PROPN
cana-4453	3	24	1research	1research	NUM
cana-4453	3	25	scholar	scholar	NOUN
cana-4453	3	26	,	,	PUNCT
cana-4453	3	27	university	university	NOUN
cana-4453	3	28	department	department	NOUN
cana-4453	3	29	of	of	ADP
cana-4453	3	30	mathematics	mathematics	PROPN
cana-4453	3	31	,	,	PUNCT
cana-4453	3	32	ranchi	ranchi	PROPN
cana-4453	3	33	university	university	PROPN
cana-4453	3	34	,	,	PUNCT
cana-4453	3	35	ranchi	ranchi	PROPN
cana-4453	3	36	2assistant	2assistant	PROPN
cana-4453	3	37	professor	professor	NOUN
cana-4453	3	38	,	,	PUNCT
cana-4453	3	39	dept	dept	NOUN
cana-4453	3	40	.	.	PROPN
cana-4453	3	41	of	of	ADP
cana-4453	3	42	ece	ece	PROPN
cana-4453	3	43	,	,	PUNCT
cana-4453	3	44	cambridge	cambridge	PROPN
cana-4453	3	45	institute	institute	PROPN
cana-4453	3	46	of	of	ADP
cana-4453	3	47	technology	technology	PROPN
cana-4453	3	48	,	,	PUNCT
cana-4453	3	49	tatisilwai	tatisilwai	NOUN
cana-4453	3	50	3assistant	3assistant	NUM
cana-4453	3	51	professor	professor	NOUN
cana-4453	3	52	,	,	PUNCT
cana-4453	3	53	k.c.b	k.c.b	PROPN
cana-4453	3	54	.	.	PUNCT
cana-4453	3	55	college	college	PROPN
cana-4453	3	56	bero	bero	PROPN
cana-4453	3	57	4assistant	4assistant	PROPN
cana-4453	3	58	professor	professor	NOUN
cana-4453	3	59	,	,	PUNCT
cana-4453	3	60	dept	dept	NOUN
cana-4453	3	61	.	.	PROPN
cana-4453	3	62	of	of	ADP
cana-4453	3	63	science	science	NOUN
cana-4453	3	64	and	and	CCONJ
cana-4453	3	65	humanities	humanity	NOUN
cana-4453	3	66	,	,	PUNCT
cana-4453	3	67	r.v.s	r.v.s	NOUN
cana-4453	3	68	.	.	PUNCT
cana-4453	3	69	college	college	NOUN
cana-4453	3	70	of	of	ADP
cana-4453	3	71	engineering	engineering	NOUN
cana-4453	3	72	and	and	CCONJ
cana-4453	3	73	technology	technology	NOUN
cana-4453	3	74	,	,	PUNCT
cana-4453	3	75	jamshedpur	jamshedpur	PROPN
cana-4453	3	76	1kanchan_kaveri4@yahoo.in	1kanchan_kaveri4@yahoo.in	NUM
cana-4453	3	77	,	,	PUNCT
cana-4453	3	78	2pk3ap.10@gmail.com	2pk3ap.10@gmail.com	NUM
cana-4453	3	79	,	,	PUNCT
cana-4453	3	80	3mailmeonsujatbala@gmail.com	3mailmeonsujatbala@gmail.com	NUM
cana-4453	3	81	,	,	PUNCT
cana-4453	3	82	4kumarahidas@gmail.com	4kumarahidas@gmail.com	NUM
cana-4453	3	83	article	article	NOUN
cana-4453	3	84	history	history	NOUN
cana-4453	3	85	:	:	PUNCT
cana-4453	3	86	received	receive	VERB
cana-4453	3	87	:	:	PUNCT
cana-4453	3	88	12	12	NUM
cana-4453	3	89	-	-	SYM
cana-4453	3	90	01	01	NUM
cana-4453	3	91	-	-	PUNCT
cana-4453	3	92	2025	2025	NUM
cana-4453	3	93	revised	revise	VERB
cana-4453	3	94	:	:	PUNCT
cana-4453	3	95	15	15	NUM
cana-4453	3	96	-	-	NUM
cana-4453	3	97	02	02	NUM
cana-4453	3	98	-	-	PUNCT
cana-4453	3	99	2025	2025	NUM
cana-4453	3	100	accepted	accept	VERB
cana-4453	3	101	:	:	PUNCT
cana-4453	3	102	01	01	NUM
cana-4453	3	103	-	-	SYM
cana-4453	3	104	03	03	NUM
cana-4453	3	105	-	-	PUNCT
cana-4453	3	106	2025	2025	NUM
cana-4453	3	107	abstract	abstract	NOUN
cana-4453	3	108	:	:	PUNCT
cana-4453	3	109	dengue	dengue	NOUN
cana-4453	3	110	is	be	AUX
cana-4453	3	111	a	a	DET
cana-4453	3	112	serious	serious	ADJ
cana-4453	3	113	disease	disease	NOUN
cana-4453	3	114	,	,	PUNCT
cana-4453	3	115	according	accord	VERB
cana-4453	3	116	to	to	ADP
cana-4453	3	117	the	the	DET
cana-4453	3	118	who	who	PRON
cana-4453	3	119	.	.	PUNCT
cana-4453	4	1	humans	human	NOUN
cana-4453	4	2	contract	contract	VERB
cana-4453	4	3	this	this	DET
cana-4453	4	4	illness	illness	NOUN
cana-4453	4	5	when	when	SCONJ
cana-4453	4	6	female	female	ADJ
cana-4453	4	7	mosquitoes	mosquito	NOUN
cana-4453	4	8	,	,	PUNCT
cana-4453	4	9	particularly	particularly	ADV
cana-4453	4	10	the	the	DET
cana-4453	4	11	aedes	aedes	PROPN
cana-4453	4	12	aegypti	aegypti	VERB
cana-4453	4	13	/	/	SYM
cana-4453	4	14	yellow	yellow	ADJ
cana-4453	4	15	fever	fever	NOUN
cana-4453	4	16	mosquito	mosquito	NOUN
cana-4453	4	17	,	,	PUNCT
cana-4453	4	18	bite	bite	VERB
cana-4453	4	19	them	they	PRON
cana-4453	4	20	.	.	PUNCT
cana-4453	5	1	humans	human	NOUN
cana-4453	5	2	can	can	AUX
cana-4453	5	3	contract	contract	VERB
cana-4453	5	4	this	this	DET
cana-4453	5	5	disease	disease	NOUN
cana-4453	5	6	when	when	SCONJ
cana-4453	5	7	bitten	bite	VERB
cana-4453	5	8	by	by	ADP
cana-4453	5	9	an	an	DET
cana-4453	5	10	infected	infect	VERB
cana-4453	5	11	mosquito	mosquito	NOUN
cana-4453	5	12	carrying	carry	VERB
cana-4453	5	13	any	any	PRON
cana-4453	5	14	of	of	ADP
cana-4453	5	15	the	the	DET
cana-4453	5	16	four	four	NUM
cana-4453	5	17	virus	virus	NOUN
cana-4453	5	18	strains	strain	NOUN
cana-4453	5	19	designated	designate	VERB
cana-4453	5	20	by	by	ADP
cana-4453	5	21	denv-1	denv-1	PROPN
cana-4453	5	22	to	to	ADP
cana-4453	5	23	denv-4	denv-4	PROPN
cana-4453	5	24	.	.	PUNCT
cana-4453	6	1	as	as	ADP
cana-4453	6	2	an	an	DET
cana-4453	6	3	extension	extension	NOUN
cana-4453	6	4	of	of	ADP
cana-4453	6	5	the	the	DET
cana-4453	6	6	sir	sir	NOUN
cana-4453	6	7	model	model	NOUN
cana-4453	6	8	,	,	PUNCT
cana-4453	6	9	we	we	PRON
cana-4453	6	10	suggested	suggest	VERB
cana-4453	6	11	the	the	DET
cana-4453	6	12	sihrv	sihrv	NOUN
cana-4453	6	13	(	(	PUNCT
cana-4453	6	14	susceptible	susceptible	ADJ
cana-4453	6	15	infectious	infectious	ADJ
cana-4453	6	16	hospital	hospital	NOUN
cana-4453	6	17	recovery	recovery	NOUN
cana-4453	6	18	vaccine	vaccine	NOUN
cana-4453	6	19	)	)	PUNCT
cana-4453	6	20	model	model	NOUN
cana-4453	6	21	for	for	ADP
cana-4453	6	22	this	this	DET
cana-4453	6	23	purpose	purpose	NOUN
cana-4453	6	24	.	.	PUNCT
cana-4453	7	1	the	the	DET
cana-4453	7	2	threshold	threshold	NOUN
cana-4453	7	3	number	number	NOUN
cana-4453	7	4	is	be	AUX
cana-4453	7	5	determined	determine	VERB
cana-4453	7	6	by	by	ADP
cana-4453	7	7	applying	apply	VERB
cana-4453	7	8	the	the	DET
cana-4453	7	9	routh	routh	PROPN
cana-4453	7	10	-	-	PUNCT
cana-4453	7	11	hurwity	hurwity	NOUN
cana-4453	7	12	and	and	CCONJ
cana-4453	7	13	jacobian	jacobian	ADJ
cana-4453	7	14	criteria	criterion	NOUN
cana-4453	7	15	.	.	PUNCT
cana-4453	8	1	the	the	DET
cana-4453	8	2	model	model	NOUN
cana-4453	8	3	is	be	AUX
cana-4453	8	4	unstable	unstable	ADJ
cana-4453	8	5	if	if	SCONJ
cana-4453	8	6	and	and	CCONJ
cana-4453	8	7	stable	stable	ADJ
cana-4453	8	8	if	if	SCONJ
cana-4453	8	9	.	.	PUNCT
cana-4453	9	1	in	in	ADP
cana-4453	9	2	order	order	NOUN
cana-4453	9	3	to	to	PART
cana-4453	9	4	improve	improve	VERB
cana-4453	9	5	recovery	recovery	NOUN
cana-4453	9	6	,	,	PUNCT
cana-4453	9	7	we	we	PRON
cana-4453	9	8	also	also	ADV
cana-4453	9	9	determine	determine	VERB
cana-4453	9	10	the	the	DET
cana-4453	9	11	endemic	endemic	ADJ
cana-4453	9	12	and	and	CCONJ
cana-4453	9	13	diseasefree	diseasefree	ADJ
cana-4453	9	14	equilibrium	equilibrium	NOUN
cana-4453	9	15	points	point	NOUN
cana-4453	9	16	.	.	PUNCT
cana-4453	10	1	keywords	keyword	NOUN
cana-4453	10	2	:	:	PUNCT
cana-4453	10	3	mathematical	mathematical	ADJ
cana-4453	10	4	model	model	NOUN
cana-4453	10	5	,	,	PUNCT
cana-4453	10	6	vaccination	vaccination	NOUN
cana-4453	10	7	,	,	PUNCT
cana-4453	10	8	endemic	endemic	ADJ
cana-4453	10	9	equilibrium	equilibrium	NOUN
cana-4453	10	10	,	,	PUNCT
cana-4453	10	11	routh	routh	PROPN
cana-4453	10	12	-	-	PUNCT
cana-4453	10	13	hurwitz	hurwitz	PROPN
cana-4453	10	14	criteria	criterion	NOUN
cana-4453	10	15	.	.	PUNCT
cana-4453	11	1	ams	am	NOUN
cana-4453	11	2	classification	classification	NOUN
cana-4453	11	3	2010	2010	NUM
cana-4453	11	4	:	:	PUNCT
cana-4453	11	5	93a30	93a30	NUM
cana-4453	11	6	,	,	PUNCT
cana-4453	11	7	92b05	92b05	NUM
cana-4453	11	8	,	,	PUNCT
cana-4453	11	9	92d30	92d30	NUM
cana-4453	11	10	introduction	introduction	NOUN
cana-4453	11	11	dengue	dengue	NOUN
cana-4453	11	12	fever	fever	NOUN
cana-4453	11	13	is	be	AUX
cana-4453	11	14	a	a	DET
cana-4453	11	15	major	major	ADJ
cana-4453	11	16	problem	problem	NOUN
cana-4453	11	17	in	in	ADP
cana-4453	11	18	many	many	ADJ
cana-4453	11	19	industrialized	industrialized	ADJ
cana-4453	11	20	and	and	CCONJ
cana-4453	11	21	developing	develop	VERB
cana-4453	11	22	countries	country	NOUN
cana-4453	11	23	'	'	PART
cana-4453	11	24	tropical	tropical	ADJ
cana-4453	11	25	and	and	CCONJ
cana-4453	11	26	subtropical	subtropical	ADJ
cana-4453	11	27	regions	region	NOUN
cana-4453	11	28	.	.	PUNCT
cana-4453	12	1	every	every	DET
cana-4453	12	2	year	year	NOUN
cana-4453	12	3	,	,	PUNCT
cana-4453	12	4	millions	million	NOUN
cana-4453	12	5	of	of	ADP
cana-4453	12	6	cases	case	NOUN
cana-4453	12	7	from	from	ADP
cana-4453	12	8	all	all	ADV
cana-4453	12	9	around	around	ADP
cana-4453	12	10	the	the	DET
cana-4453	12	11	world	world	NOUN
cana-4453	12	12	are	be	AUX
cana-4453	12	13	reported	report	VERB
cana-4453	12	14	to	to	ADP
cana-4453	12	15	the	the	DET
cana-4453	12	16	world	world	PROPN
cana-4453	12	17	health	health	NOUN
cana-4453	12	18	organization	organization	NOUN
cana-4453	12	19	(	(	PUNCT
cana-4453	12	20	who	who	PRON
cana-4453	12	21	)	)	PUNCT
cana-4453	12	22	.	.	PUNCT
cana-4453	13	1	the	the	DET
cana-4453	13	2	female	female	ADJ
cana-4453	13	3	yellow	yellow	ADJ
cana-4453	13	4	fever	fever	NOUN
cana-4453	13	5	(	(	PUNCT
cana-4453	13	6	aedes	aedes	PROPN
cana-4453	13	7	aegypti	aegypti	PROPN
cana-4453	13	8	)	)	PUNCT
cana-4453	13	9	the	the	DET
cana-4453	13	10	main	main	ADJ
cana-4453	13	11	vector	vector	NOUN
cana-4453	13	12	of	of	ADP
cana-4453	13	13	this	this	DET
cana-4453	13	14	disease	disease	NOUN
cana-4453	13	15	is	be	AUX
cana-4453	13	16	the	the	DET
cana-4453	13	17	mosquito	mosquito	NOUN
cana-4453	13	18	.	.	PUNCT
cana-4453	14	1	any	any	DET
cana-4453	14	2	one	one	NUM
cana-4453	14	3	of	of	ADP
cana-4453	14	4	the	the	DET
cana-4453	14	5	four	four	NUM
cana-4453	14	6	virus	virus	NOUN
cana-4453	14	7	strains	strain	NOUN
cana-4453	14	8	—	—	PUNCT
cana-4453	14	9	designated	designate	VERB
cana-4453	14	10	denv-1	denv-1	NUM
cana-4453	14	11	through	through	ADP
cana-4453	14	12	denv4	denv4	NOUN
cana-4453	14	13	—	—	PUNCT
cana-4453	14	14	carried	carry	VERB
cana-4453	14	15	by	by	ADP
cana-4453	14	16	mosquito	mosquito	ADJ
cana-4453	14	17	bites	bite	NOUN
cana-4453	14	18	can	can	AUX
cana-4453	14	19	infect	infect	VERB
cana-4453	14	20	humans	human	NOUN
cana-4453	14	21	.	.	PUNCT
cana-4453	15	1	humans	human	NOUN
cana-4453	15	2	only	only	ADV
cana-4453	15	3	get	get	VERB
cana-4453	15	4	a	a	DET
cana-4453	15	5	temporary	temporary	ADJ
cana-4453	15	6	crossimmunity	crossimmunity	NOUN
cana-4453	15	7	to	to	ADP
cana-4453	15	8	the	the	DET
cana-4453	15	9	other	other	ADJ
cana-4453	15	10	strains	strain	NOUN
cana-4453	15	11	of	of	ADP
cana-4453	15	12	dengue	dengue	NOUN
cana-4453	15	13	after	after	ADP
cana-4453	15	14	being	be	AUX
cana-4453	15	15	bitten	bite	VERB
cana-4453	15	16	by	by	ADP
cana-4453	15	17	one	one	NUM
cana-4453	15	18	,	,	PUNCT
cana-4453	15	19	but	but	CCONJ
cana-4453	15	20	they	they	PRON
cana-4453	15	21	are	be	AUX
cana-4453	15	22	permanently	permanently	ADV
cana-4453	15	23	immune	immune	ADJ
cana-4453	15	24	to	to	ADP
cana-4453	15	25	that	that	DET
cana-4453	15	26	strain	strain	NOUN
cana-4453	15	27	.	.	PUNCT
cana-4453	16	1	usually	usually	ADV
cana-4453	16	2	appearing	appear	VERB
cana-4453	16	3	4–10	4–10	NOUN
cana-4453	16	4	days	day	NOUN
cana-4453	16	5	after	after	SCONJ
cana-4453	16	6	the	the	DET
cana-4453	16	7	virus	virus	NOUN
cana-4453	16	8	enters	enter	VERB
cana-4453	16	9	the	the	DET
cana-4453	16	10	bitten	bite	VERB
cana-4453	16	11	person	person	NOUN
cana-4453	16	12	's	's	PART
cana-4453	16	13	bloodstream	bloodstream	NOUN
cana-4453	16	14	,	,	PUNCT
cana-4453	16	15	dengue	dengue	NOUN
cana-4453	16	16	symptoms	symptom	NOUN
cana-4453	16	17	can	can	AUX
cana-4453	16	18	last	last	VERB
cana-4453	16	19	for	for	ADP
cana-4453	16	20	up	up	ADP
cana-4453	16	21	to	to	PART
cana-4453	16	22	a	a	DET
cana-4453	16	23	week	week	NOUN
cana-4453	16	24	or	or	CCONJ
cana-4453	16	25	two	two	NUM
cana-4453	16	26	.	.	PUNCT
cana-4453	17	1	dengue	dengue	NOUN
cana-4453	17	2	fever	fever	NOUN
cana-4453	17	3	can	can	AUX
cana-4453	17	4	now	now	ADV
cana-4453	17	5	be	be	AUX
cana-4453	17	6	prevented	prevent	VERB
cana-4453	17	7	by	by	ADP
cana-4453	17	8	receiving	receive	VERB
cana-4453	17	9	the	the	DET
cana-4453	17	10	new	new	ADJ
cana-4453	17	11	serotype	serotype	ADJ
cana-4453	17	12	dengue	dengue	NOUN
cana-4453	17	13	fever	fever	NOUN
cana-4453	17	14	vaccine	vaccine	NOUN
cana-4453	17	15	.	.	PUNCT
cana-4453	18	1	preventive	preventive	ADJ
cana-4453	18	2	measures	measure	NOUN
cana-4453	18	3	are	be	AUX
cana-4453	18	4	the	the	DET
cana-4453	18	5	alternative	alternative	ADJ
cana-4453	18	6	,	,	PUNCT
cana-4453	18	7	essentially	essentially	ADV
cana-4453	18	8	costly	costly	ADJ
cana-4453	18	9	or	or	CCONJ
cana-4453	18	10	impractical	impractical	ADJ
cana-4453	18	11	,	,	PUNCT
cana-4453	18	12	way	way	NOUN
cana-4453	18	13	to	to	PART
cana-4453	18	14	stay	stay	VERB
cana-4453	18	15	unaffected	unaffected	ADJ
cana-4453	18	16	.	.	PUNCT
cana-4453	19	1	this	this	DET
cana-4453	19	2	work	work	NOUN
cana-4453	19	3	uses	use	VERB
cana-4453	19	4	generalized	generalize	VERB
cana-4453	19	5	fractional	fractional	ADJ
cana-4453	19	6	order	order	NOUN
cana-4453	19	7	derivatives	derivative	NOUN
cana-4453	19	8	to	to	PART
cana-4453	19	9	generate	generate	VERB
cana-4453	19	10	the	the	DET
cana-4453	19	11	suggested	suggest	VERB
cana-4453	19	12	dengue	dengue	NOUN
cana-4453	19	13	epidemic	epidemic	NOUN
cana-4453	19	14	model	model	NOUN
cana-4453	19	15	.	.	PUNCT
cana-4453	20	1	it	it	PRON
cana-4453	20	2	is	be	AUX
cana-4453	20	3	demonstrated	demonstrate	VERB
cana-4453	20	4	that	that	SCONJ
cana-4453	20	5	fractional	fractional	ADJ
cana-4453	20	6	order	order	NOUN
cana-4453	20	7	equations	equation	NOUN
cana-4453	20	8	are	be	AUX
cana-4453	20	9	more	more	ADV
cana-4453	20	10	suitable	suitable	ADJ
cana-4453	20	11	than	than	ADP
cana-4453	20	12	integer	integer	NOUN
cana-4453	20	13	order	order	NOUN
cana-4453	20	14	equations	equation	NOUN
cana-4453	20	15	for	for	ADP
cana-4453	20	16	simulating	simulate	VERB
cana-4453	20	17	biological	biological	ADJ
cana-4453	20	18	,	,	PUNCT
cana-4453	20	19	economic	economic	ADJ
cana-4453	20	20	,	,	PUNCT
cana-4453	20	21	and	and	CCONJ
cana-4453	20	22	social	social	ADJ
cana-4453	20	23	systems	system	NOUN
cana-4453	20	24	when	when	SCONJ
cana-4453	20	25	memory	memory	NOUN
cana-4453	20	26	effects	effect	NOUN
cana-4453	20	27	are	be	AUX
cana-4453	20	28	important	important	ADJ
cana-4453	20	29	.	.	PUNCT
cana-4453	21	1	humans	human	NOUN
cana-4453	21	2	are	be	AUX
cana-4453	21	3	therefore	therefore	ADV
cana-4453	21	4	frequently	frequently	ADV
cana-4453	21	5	chosen	choose	VERB
cana-4453	21	6	by	by	ADP
cana-4453	21	7	mosquitoes	mosquito	NOUN
cana-4453	21	8	based	base	VERB
cana-4453	21	9	on	on	ADP
cana-4453	21	10	their	their	PRON
cana-4453	21	11	prior	prior	ADJ
cana-4453	21	12	encounters	encounter	NOUN
cana-4453	21	13	with	with	ADP
cana-4453	21	14	them	they	PRON
cana-4453	21	15	,	,	PUNCT
cana-4453	21	16	especially	especially	ADV
cana-4453	21	17	on	on	ADP
cana-4453	21	18	their	their	PRON
cana-4453	21	19	location	location	NOUN
cana-4453	21	20	and	and	CCONJ
cana-4453	21	21	degree	degree	NOUN
cana-4453	21	22	of	of	ADP
cana-4453	21	23	defense	defense	NOUN
cana-4453	21	24	.	.	PUNCT
cana-4453	22	1	thus	thus	ADV
cana-4453	22	2	,	,	PUNCT
cana-4453	22	3	a	a	DET
cana-4453	22	4	perfect	perfect	ADJ
cana-4453	22	5	model	model	NOUN
cana-4453	22	6	mailto:kanchan_kaveri4@yahoo.in	mailto:kanchan_kaveri4@yahoo.in	PUNCT
cana-4453	22	7	mailto:pk3ap.10@gmail.com	mailto:pk3ap.10@gmail.com	X
cana-4453	22	8	mailto:3mailmeonsujatbala@gmail.com	mailto:3mailmeonsujatbala@gmail.com	PROPN
cana-4453	22	9	communications	communication	NOUN
cana-4453	22	10	on	on	ADP
cana-4453	22	11	applied	apply	VERB
cana-4453	22	12	nonlinear	nonlinear	ADJ
cana-4453	22	13	analysis	analysis	NOUN
cana-4453	22	14	issn	issn	NOUN
cana-4453	22	15	:	:	PUNCT
cana-4453	22	16	1074	1074	NUM
cana-4453	22	17	-	-	PUNCT
cana-4453	22	18	133x	133x	NUM
cana-4453	22	19	vol	vol	NOUN
cana-4453	22	20	32	32	NUM
cana-4453	22	21	no	no	NOUN
cana-4453	22	22	.	.	PUNCT
cana-4453	23	1	9s	9s	NUM
cana-4453	23	2	(	(	PUNCT
cana-4453	23	3	2025	2025	NUM
cana-4453	23	4	)	)	PUNCT
cana-4453	23	5	2129	2129	NUM
cana-4453	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	24	1	to	to	PART
cana-4453	24	2	enable	enable	VERB
cana-4453	24	3	a	a	DET
cana-4453	24	4	nation	nation	NOUN
cana-4453	24	5	to	to	PART
cana-4453	24	6	be	be	AUX
cana-4453	24	7	disease	disease	NOUN
cana-4453	24	8	free	free	ADJ
cana-4453	24	9	can	can	AUX
cana-4453	24	10	be	be	AUX
cana-4453	24	11	built	build	VERB
cana-4453	24	12	based	base	VERB
cana-4453	24	13	on	on	ADP
cana-4453	24	14	the	the	DET
cana-4453	24	15	examination	examination	NOUN
cana-4453	24	16	of	of	ADP
cana-4453	24	17	the	the	DET
cana-4453	24	18	transmission	transmission	NOUN
cana-4453	24	19	history	history	NOUN
cana-4453	24	20	and	and	CCONJ
cana-4453	24	21	fractional	fractional	ADJ
cana-4453	24	22	order	order	NOUN
cana-4453	24	23	calculus	calculus	NOUN
cana-4453	24	24	.	.	PUNCT
cana-4453	25	1	numerous	numerous	ADJ
cana-4453	25	2	authors	author	NOUN
cana-4453	25	3	[	[	X
cana-4453	25	4	1,2	1,2	NUM
cana-4453	25	5	]	]	PUNCT
cana-4453	25	6	have	have	AUX
cana-4453	25	7	written	write	VERB
cana-4453	25	8	about	about	ADP
cana-4453	25	9	the	the	DET
cana-4453	25	10	various	various	ADJ
cana-4453	25	11	kinds	kind	NOUN
cana-4453	25	12	of	of	ADP
cana-4453	25	13	models	model	NOUN
cana-4453	25	14	that	that	PRON
cana-4453	25	15	are	be	AUX
cana-4453	25	16	employed	employ	VERB
cana-4453	25	17	in	in	ADP
cana-4453	25	18	computation	computation	NOUN
cana-4453	25	19	.	.	PUNCT
cana-4453	26	1	sulami	sulami	NOUN
cana-4453	27	1	[	[	X
cana-4453	27	2	3	3	X
cana-4453	27	3	]	]	PUNCT
cana-4453	27	4	,	,	PUNCT
cana-4453	27	5	hamdam	hamdam	NOUN
cana-4453	27	6	[	[	X
cana-4453	27	7	4	4	NUM
cana-4453	27	8	]	]	PUNCT
cana-4453	27	9	,	,	PUNCT
cana-4453	27	10	defterli	defterli	NOUN
cana-4453	27	11	[	[	X
cana-4453	27	12	5	5	NUM
cana-4453	27	13	]	]	PUNCT
cana-4453	27	14	discuss	discuss	VERB
cana-4453	27	15	the	the	DET
cana-4453	27	16	sir	sir	NOUN
cana-4453	27	17	model	model	NOUN
cana-4453	27	18	by	by	ADP
cana-4453	27	19	fractional	fractional	ADJ
cana-4453	27	20	order	order	NOUN
cana-4453	27	21	within	within	ADP
cana-4453	27	22	the	the	DET
cana-4453	27	23	caputo	caputo	PROPN
cana-4453	27	24	fractional	fractional	PROPN
cana-4453	27	25	operator	operator	NOUN
cana-4453	27	26	.	.	PUNCT
cana-4453	28	1	sihrv	sihrv	PROPN
cana-4453	28	2	model	model	NOUN
cana-4453	28	3	for	for	ADP
cana-4453	28	4	transmission	transmission	NOUN
cana-4453	28	5	of	of	ADP
cana-4453	28	6	viruses	virus	NOUN
cana-4453	28	7	condition	condition	NOUN
cana-4453	28	8	:	:	PUNCT
cana-4453	28	9	communications	communication	NOUN
cana-4453	28	10	on	on	ADP
cana-4453	28	11	applied	apply	VERB
cana-4453	28	12	nonlinear	nonlinear	ADJ
cana-4453	28	13	analysis	analysis	NOUN
cana-4453	28	14	issn	issn	NOUN
cana-4453	28	15	:	:	PUNCT
cana-4453	28	16	1074	1074	NUM
cana-4453	28	17	-	-	PUNCT
cana-4453	28	18	133x	133x	NUM
cana-4453	28	19	vol	vol	NOUN
cana-4453	28	20	32	32	NUM
cana-4453	28	21	no	no	NOUN
cana-4453	28	22	.	.	PUNCT
cana-4453	29	1	9s	9s	NUM
cana-4453	29	2	(	(	PUNCT
cana-4453	29	3	2025	2025	NUM
cana-4453	29	4	)	)	PUNCT
cana-4453	29	5	2130	2130	NUM
cana-4453	30	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	30	2	description	description	NOUN
cana-4453	30	3	of	of	ADP
cana-4453	30	4	parameters	parameter	NOUN
cana-4453	30	5	used	use	VERB
cana-4453	30	6	in	in	ADP
cana-4453	30	7	above	above	ADP
cana-4453	30	8	ode	ode	PROPN
cana-4453	30	9	:	:	PUNCT
cana-4453	30	10	a	a	PRON
cana-4453	30	11	is	be	AUX
cana-4453	30	12	influx	influx	NOUN
cana-4453	30	13	rate	rate	NOUN
cana-4453	30	14	.	.	PUNCT
cana-4453	31	1	is	be	AUX
cana-4453	31	2	total	total	ADJ
cana-4453	31	3	population	population	NOUN
cana-4453	31	4	of	of	ADP
cana-4453	31	5	human	human	NOUN
cana-4453	31	6	.	.	PUNCT
cana-4453	32	1	is	be	AUX
cana-4453	32	2	total	total	ADJ
cana-4453	32	3	population	population	NOUN
cana-4453	32	4	of	of	ADP
cana-4453	32	5	mosquito	mosquito	PROPN
cana-4453	32	6	.	.	PUNCT
cana-4453	33	1	is	be	AUX
cana-4453	33	2	total	total	ADJ
cana-4453	33	3	number	number	NOUN
cana-4453	33	4	of	of	ADP
cana-4453	33	5	susceptible	susceptible	ADJ
cana-4453	33	6	human	human	ADJ
cana-4453	33	7	population	population	NOUN
cana-4453	33	8	.	.	PUNCT
cana-4453	34	1	is	be	AUX
cana-4453	34	2	total	total	ADJ
cana-4453	34	3	number	number	NOUN
cana-4453	34	4	of	of	ADP
cana-4453	34	5	infective	infective	ADJ
cana-4453	34	6	human	human	ADJ
cana-4453	34	7	population	population	NOUN
cana-4453	34	8	.	.	PUNCT
cana-4453	35	1	is	be	AUX
cana-4453	35	2	total	total	ADJ
cana-4453	35	3	number	number	NOUN
cana-4453	35	4	of	of	ADP
cana-4453	35	5	hospitalized	hospitalize	VERB
cana-4453	35	6	human	human	ADJ
cana-4453	35	7	population	population	NOUN
cana-4453	35	8	.	.	PUNCT
cana-4453	36	1	is	be	AUX
cana-4453	36	2	total	total	ADJ
cana-4453	36	3	number	number	NOUN
cana-4453	36	4	of	of	ADP
cana-4453	36	5	recovered	recover	VERB
cana-4453	36	6	human	human	ADJ
cana-4453	36	7	population	population	NOUN
cana-4453	36	8	.	.	PUNCT
cana-4453	37	1	is	be	AUX
cana-4453	37	2	total	total	ADJ
cana-4453	37	3	number	number	NOUN
cana-4453	37	4	of	of	ADP
cana-4453	37	5	vaccinated	vaccinated	ADJ
cana-4453	37	6	human	human	ADJ
cana-4453	37	7	population	population	NOUN
cana-4453	37	8	.	.	PUNCT
cana-4453	38	1	death	death	NOUN
cana-4453	38	2	rate	rate	NOUN
cana-4453	38	3	in	in	ADP
cana-4453	38	4	human	human	ADJ
cana-4453	38	5	population	population	NOUN
cana-4453	38	6	.	.	PUNCT
cana-4453	39	1	is	be	AUX
cana-4453	39	2	total	total	ADJ
cana-4453	39	3	number	number	NOUN
cana-4453	39	4	of	of	ADP
cana-4453	39	5	susceptible	susceptible	ADJ
cana-4453	39	6	mosquito	mosquito	ADJ
cana-4453	39	7	population	population	NOUN
cana-4453	39	8	.	.	PUNCT
cana-4453	40	1	is	be	AUX
cana-4453	40	2	total	total	ADJ
cana-4453	40	3	number	number	NOUN
cana-4453	40	4	of	of	ADP
cana-4453	40	5	infective	infective	ADJ
cana-4453	40	6	mosquito	mosquito	ADJ
cana-4453	40	7	population	population	NOUN
cana-4453	40	8	death	death	NOUN
cana-4453	40	9	rate	rate	NOUN
cana-4453	40	10	in	in	ADP
cana-4453	40	11	mosquito	mosquito	ADJ
cana-4453	40	12	population	population	NOUN
cana-4453	40	13	.	.	PUNCT
cana-4453	41	1	transfer	transfer	NOUN
cana-4453	41	2	coefficient	coefficient	NOUN
cana-4453	41	3	from	from	ADP
cana-4453	41	4	human	human	NOUN
cana-4453	41	5	to	to	AUX
cana-4453	41	6	mosquito	mosquito	VERB
cana-4453	41	7	.	.	PUNCT
cana-4453	42	1	transfer	transfer	NOUN
cana-4453	42	2	coefficient	coefficient	NOUN
cana-4453	42	3	from	from	ADP
cana-4453	42	4	mosquito	mosquito	NOUN
cana-4453	42	5	to	to	ADP
cana-4453	42	6	human	human	NOUN
cana-4453	42	7	.	.	PUNCT
cana-4453	43	1	is	be	AUX
cana-4453	43	2	recovery	recovery	NOUN
cana-4453	43	3	rate	rate	NOUN
cana-4453	43	4	by	by	ADP
cana-4453	43	5	infective	infective	ADJ
cana-4453	43	6	human	human	ADJ
cana-4453	43	7	population	population	NOUN
cana-4453	43	8	.	.	PUNCT
cana-4453	44	1	is	be	AUX
cana-4453	44	2	the	the	DET
cana-4453	44	3	hospitalized	hospitalize	VERB
cana-4453	44	4	rate	rate	NOUN
cana-4453	44	5	by	by	ADP
cana-4453	44	6	infective	infective	ADJ
cana-4453	44	7	human	human	ADJ
cana-4453	44	8	population	population	NOUN
cana-4453	44	9	.	.	PUNCT
cana-4453	45	1	is	be	AUX
cana-4453	45	2	recovery	recovery	NOUN
cana-4453	45	3	rate	rate	NOUN
cana-4453	45	4	by	by	ADP
cana-4453	45	5	hospitalized	hospitalize	VERB
cana-4453	45	6	human	human	ADJ
cana-4453	45	7	population	population	NOUN
cana-4453	45	8	.	.	PUNCT
cana-4453	46	1	is	be	AUX
cana-4453	46	2	vaccinated	vaccinate	VERB
cana-4453	46	3	rate	rate	NOUN
cana-4453	46	4	by	by	ADP
cana-4453	46	5	recovered	recover	VERB
cana-4453	46	6	human	human	ADJ
cana-4453	46	7	population	population	NOUN
cana-4453	46	8	.	.	PUNCT
cana-4453	47	1	some	some	DET
cana-4453	47	2	definitions	definition	NOUN
cana-4453	47	3	of	of	ADP
cana-4453	47	4	fractional	fractional	ADJ
cana-4453	47	5	derivatives	derivative	NOUN
cana-4453	47	6	[	[	X
cana-4453	47	7	6,7	6,7	NUM
cana-4453	47	8	]	]	PUNCT
cana-4453	47	9	are	be	AUX
cana-4453	47	10	implimented	implimente	VERB
cana-4453	47	11	.	.	PUNCT
cana-4453	48	1	the	the	DET
cana-4453	48	2	riemann	riemann	PROPN
cana-4453	48	3	–	–	PUNCT
cana-4453	48	4	liouville	liouville	VERB
cana-4453	48	5	derivatives	derivative	NOUN
cana-4453	48	6	of	of	ADP
cana-4453	48	7	th	th	NOUN
cana-4453	48	8	order	order	NOUN
cana-4453	48	9	is	be	AUX
cana-4453	48	10	defined	define	VERB
cana-4453	48	11	as	as	ADP
cana-4453	48	12	an	an	DET
cana-4453	48	13	alternative	alternative	ADJ
cana-4453	48	14	definition	definition	NOUN
cana-4453	48	15	by	by	ADP
cana-4453	48	16	caputo	caputo	PROPN
cana-4453	48	17	is	be	AUX
cana-4453	48	18	communications	communication	NOUN
cana-4453	48	19	on	on	ADP
cana-4453	48	20	applied	apply	VERB
cana-4453	48	21	nonlinear	nonlinear	ADJ
cana-4453	48	22	analysis	analysis	NOUN
cana-4453	48	23	issn	issn	NOUN
cana-4453	48	24	:	:	PUNCT
cana-4453	48	25	1074	1074	NUM
cana-4453	48	26	-	-	PUNCT
cana-4453	48	27	133x	133x	NUM
cana-4453	48	28	vol	vol	NOUN
cana-4453	48	29	32	32	NUM
cana-4453	48	30	no	no	NOUN
cana-4453	48	31	.	.	PUNCT
cana-4453	49	1	9s	9s	NUM
cana-4453	49	2	(	(	PUNCT
cana-4453	49	3	2025	2025	NUM
cana-4453	49	4	)	)	PUNCT
cana-4453	49	5	2131	2131	NUM
cana-4453	49	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	49	7	in	in	ADP
cana-4453	49	8	this	this	DET
cana-4453	49	9	paper	paper	NOUN
cana-4453	49	10	we	we	PRON
cana-4453	49	11	will	will	AUX
cana-4453	49	12	use	use	VERB
cana-4453	49	13	caputo	caputo	PROPN
cana-4453	49	14	fractional	fractional	PROPN
cana-4453	49	15	derivative	derivative	NOUN
cana-4453	49	16	for	for	ADP
cana-4453	49	17	the	the	DET
cana-4453	49	18	system	system	NOUN
cana-4453	49	19	(	(	PUNCT
cana-4453	49	20	1	1	X
cana-4453	49	21	)	)	PUNCT
cana-4453	49	22	all	all	DET
cana-4453	49	23	parameters	parameter	NOUN
cana-4453	49	24	are	be	AUX
cana-4453	49	25	assumed	assume	VERB
cana-4453	49	26	to	to	PART
cana-4453	49	27	be	be	AUX
cana-4453	49	28	non	non	ADJ
cana-4453	49	29	-	-	ADJ
cana-4453	49	30	negative	negative	ADJ
cana-4453	49	31	from	from	ADP
cana-4453	49	32	system	system	NOUN
cana-4453	49	33	(	(	PUNCT
cana-4453	49	34	1	1	X
cana-4453	49	35	)	)	PUNCT
cana-4453	49	36	let	let	VERB
cana-4453	49	37	3	3	NUM
cana-4453	49	38	.	.	PUNCT
cana-4453	49	39	equilibrium	equilibrium	NOUN
cana-4453	49	40	points	point	NOUN
cana-4453	49	41	:	:	PUNCT
cana-4453	49	42	then	then	ADV
cana-4453	49	43	for	for	ADP
cana-4453	49	44	positive	positive	ADJ
cana-4453	49	45	equilibrium	equilibrium	NOUN
cana-4453	49	46	point	point	NOUN
cana-4453	49	47	the	the	DET
cana-4453	49	48	jacobian	jacobian	ADJ
cana-4453	49	49	matrix	matrix	NOUN
cana-4453	49	50	for	for	ADP
cana-4453	49	51	system	system	NOUN
cana-4453	49	52	(	(	PUNCT
cana-4453	49	53	1	1	NUM
cana-4453	49	54	)	)	PUNCT
cana-4453	49	55	for	for	ADP
cana-4453	49	56	disease	disease	NOUN
cana-4453	49	57	free	free	ADJ
cana-4453	49	58	equilibrium	equilibrium	NOUN
cana-4453	49	59	point	point	NOUN
cana-4453	49	60	is	be	AUX
cana-4453	49	61	as	as	SCONJ
cana-4453	49	62	follows	follow	VERB
cana-4453	49	63	communications	communication	NOUN
cana-4453	49	64	on	on	ADP
cana-4453	49	65	applied	apply	VERB
cana-4453	49	66	nonlinear	nonlinear	ADJ
cana-4453	49	67	analysis	analysis	NOUN
cana-4453	49	68	issn	issn	NOUN
cana-4453	49	69	:	:	PUNCT
cana-4453	49	70	1074	1074	NUM
cana-4453	49	71	-	-	PUNCT
cana-4453	49	72	133x	133x	NUM
cana-4453	49	73	vol	vol	NOUN
cana-4453	49	74	32	32	NUM
cana-4453	49	75	no	no	NOUN
cana-4453	49	76	.	.	PUNCT
cana-4453	50	1	9s	9s	NUM
cana-4453	50	2	(	(	PUNCT
cana-4453	50	3	2025	2025	NUM
cana-4453	50	4	)	)	PUNCT
cana-4453	50	5	2132	2132	NUM
cana-4453	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	51	1	the	the	DET
cana-4453	51	2	characteristic	characteristic	ADJ
cana-4453	51	3	equation	equation	NOUN
cana-4453	51	4	is	be	AUX
cana-4453	51	5	the	the	DET
cana-4453	51	6	four	four	NUM
cana-4453	51	7	characteristic	characteristic	ADJ
cana-4453	51	8	roots	root	NOUN
cana-4453	51	9	are	be	AUX
cana-4453	51	10	which	which	PRON
cana-4453	51	11	are	be	AUX
cana-4453	51	12	negative	negative	ADJ
cana-4453	51	13	,	,	PUNCT
cana-4453	51	14	and	and	CCONJ
cana-4453	51	15	the	the	DET
cana-4453	51	16	cubic	cubic	ADJ
cana-4453	51	17	equation	equation	NOUN
cana-4453	51	18	is	be	AUX
cana-4453	51	19	compare	compare	VERB
cana-4453	51	20	this	this	DET
cana-4453	51	21	cubic	cubic	ADJ
cana-4453	51	22	equation	equation	NOUN
cana-4453	51	23	with	with	ADP
cana-4453	51	24	here	here	ADV
cana-4453	51	25	.	.	PUNCT
cana-4453	52	1	according	accord	VERB
cana-4453	52	2	to	to	ADP
cana-4453	52	3	routh	routh	PROPN
cana-4453	52	4	array	array	PROPN
cana-4453	52	5	is	be	AUX
cana-4453	52	6	stable	stable	ADJ
cana-4453	52	7	.	.	PUNCT
cana-4453	53	1	endemic	endemic	ADJ
cana-4453	53	2	equilibrium	equilibrium	NOUN
cana-4453	53	3	:	:	PUNCT
cana-4453	53	4	the	the	DET
cana-4453	53	5	jacobian	jacobian	ADJ
cana-4453	53	6	matrix	matrix	NOUN
cana-4453	53	7	for	for	ADP
cana-4453	53	8	system	system	NOUN
cana-4453	53	9	(	(	PUNCT
cana-4453	53	10	1	1	NUM
cana-4453	53	11	)	)	PUNCT
cana-4453	53	12	for	for	ADP
cana-4453	53	13	endemic	endemic	ADJ
cana-4453	53	14	equilibrium	equilibrium	NOUN
cana-4453	53	15	point	point	NOUN
cana-4453	53	16	is	be	AUX
cana-4453	53	17	as	as	SCONJ
cana-4453	53	18	follows	follow	VERB
cana-4453	53	19	the	the	DET
cana-4453	53	20	characteristic	characteristic	ADJ
cana-4453	53	21	equation	equation	NOUN
cana-4453	53	22	is	be	AUX
cana-4453	53	23	communications	communication	NOUN
cana-4453	53	24	on	on	ADP
cana-4453	53	25	applied	apply	VERB
cana-4453	53	26	nonlinear	nonlinear	ADJ
cana-4453	53	27	analysis	analysis	NOUN
cana-4453	53	28	issn	issn	NOUN
cana-4453	53	29	:	:	PUNCT
cana-4453	53	30	1074	1074	NUM
cana-4453	53	31	-	-	PUNCT
cana-4453	53	32	133x	133x	NUM
cana-4453	53	33	vol	vol	NOUN
cana-4453	53	34	32	32	NUM
cana-4453	53	35	no	no	NOUN
cana-4453	53	36	.	.	PUNCT
cana-4453	54	1	9s	9s	NUM
cana-4453	54	2	(	(	PUNCT
cana-4453	54	3	2025	2025	NUM
cana-4453	54	4	)	)	PUNCT
cana-4453	54	5	2133	2133	NUM
cana-4453	54	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	55	1	the	the	DET
cana-4453	55	2	four	four	NUM
cana-4453	55	3	characteristic	characteristic	ADJ
cana-4453	55	4	roots	root	NOUN
cana-4453	55	5	are	be	AUX
cana-4453	55	6	which	which	PRON
cana-4453	55	7	are	be	AUX
cana-4453	55	8	negative	negative	ADJ
cana-4453	55	9	,	,	PUNCT
cana-4453	55	10	and	and	CCONJ
cana-4453	55	11	the	the	DET
cana-4453	55	12	cubic	cubic	ADJ
cana-4453	55	13	equation	equation	NOUN
cana-4453	55	14	is	be	AUX
cana-4453	55	15	compare	compare	VERB
cana-4453	55	16	this	this	DET
cana-4453	55	17	cubic	cubic	ADJ
cana-4453	55	18	equation	equation	NOUN
cana-4453	55	19	with	with	ADP
cana-4453	55	20	here	here	ADV
cana-4453	55	21	.	.	PUNCT
cana-4453	56	1	according	accord	VERB
cana-4453	56	2	to	to	ADP
cana-4453	56	3	routh	routh	PROPN
cana-4453	56	4	array	array	PROPN
cana-4453	56	5	is	be	AUX
cana-4453	56	6	stable	stable	ADJ
cana-4453	56	7	.	.	PUNCT
cana-4453	57	1	communications	communication	NOUN
cana-4453	57	2	on	on	ADP
cana-4453	57	3	applied	apply	VERB
cana-4453	57	4	nonlinear	nonlinear	ADJ
cana-4453	57	5	analysis	analysis	NOUN
cana-4453	57	6	issn	issn	NOUN
cana-4453	57	7	:	:	PUNCT
cana-4453	57	8	1074	1074	NUM
cana-4453	57	9	-	-	PUNCT
cana-4453	57	10	133x	133x	NUM
cana-4453	57	11	vol	vol	NOUN
cana-4453	57	12	32	32	NUM
cana-4453	57	13	no	no	NOUN
cana-4453	57	14	.	.	PUNCT
cana-4453	58	1	9s	9s	NUM
cana-4453	58	2	(	(	PUNCT
cana-4453	58	3	2025	2025	NUM
cana-4453	58	4	)	)	PUNCT
cana-4453	58	5	2134	2134	NUM
cana-4453	58	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4453	58	7	proposition	proposition	NOUN
cana-4453	58	8	:	:	PUNCT
cana-4453	58	9	(	(	PUNCT
cana-4453	58	10	i	i	NOUN
cana-4453	58	11	)	)	PUNCT
cana-4453	58	12	routh	routh	PROPN
cana-4453	58	13	hurwitz	hurwitz	PROPN
cana-4453	58	14	criterion	criterion	NOUN
cana-4453	58	15	are	be	AUX
cana-4453	58	16	satisfied	satisfied	ADJ
cana-4453	58	17	for	for	ADP
cana-4453	58	18	point	point	NOUN
cana-4453	58	19	,	,	PUNCT
cana-4453	58	20	is	be	AUX
cana-4453	58	21	locally	locally	ADV
cana-4453	58	22	asymptotically	asymptotically	ADV
cana-4453	58	23	stable	stable	ADJ
cana-4453	58	24	.	.	PUNCT
cana-4453	59	1	(	(	PUNCT
cana-4453	59	2	ii	ii	X
cana-4453	59	3	)	)	PUNCT
cana-4453	59	4	routh	routh	PROPN
cana-4453	59	5	hurwitz	hurwitz	PROPN
cana-4453	59	6	criterion	criterion	NOUN
cana-4453	59	7	are	be	AUX
cana-4453	59	8	satisfied	satisfied	ADJ
cana-4453	59	9	for	for	ADP
cana-4453	59	10	point	point	NOUN
cana-4453	59	11	,	,	PUNCT
cana-4453	59	12	is	be	AUX
cana-4453	59	13	locally	locally	ADV
cana-4453	59	14	asymptotically	asymptotically	ADV
cana-4453	59	15	stable	stable	ADJ
cana-4453	59	16	.	.	PUNCT
cana-4453	60	1	conclusion	conclusion	NOUN
cana-4453	60	2	:	:	PUNCT
cana-4453	60	3	by	by	ADP
cana-4453	60	4	using	use	VERB
cana-4453	60	5	routh	routh	PROPN
cana-4453	60	6	-	-	PUNCT
cana-4453	60	7	hurwitz	hurwitz	PROPN
cana-4453	60	8	criteria	criterion	NOUN
cana-4453	60	9	we	we	PRON
cana-4453	60	10	find	find	VERB
cana-4453	60	11	that	that	SCONJ
cana-4453	60	12	the	the	DET
cana-4453	60	13	above	above	ADJ
cana-4453	60	14	model	model	NOUN
cana-4453	60	15	is	be	AUX
cana-4453	60	16	stable	stable	ADJ
cana-4453	60	17	in	in	ADP
cana-4453	60	18	endemic	endemic	ADJ
cana-4453	60	19	equilibrium	equilibrium	NOUN
cana-4453	60	20	point	point	NOUN
cana-4453	60	21	.	.	PUNCT
cana-4453	61	1	by	by	ADP
cana-4453	61	2	simulation	simulation	NOUN
cana-4453	61	3	we	we	PRON
cana-4453	61	4	observe	observe	VERB
cana-4453	61	5	stability	stability	NOUN
cana-4453	61	6	of	of	ADP
cana-4453	61	7	the	the	DET
cana-4453	61	8	model	model	NOUN
cana-4453	61	9	exist	exist	VERB
cana-4453	61	10	in	in	ADP
cana-4453	61	11	endemic	endemic	ADJ
cana-4453	61	12	equilibrium	equilibrium	NOUN
cana-4453	61	13	point	point	NOUN
cana-4453	61	14	.	.	PUNCT
cana-4453	62	1	in	in	ADP
cana-4453	62	2	extension	extension	NOUN
cana-4453	62	3	of	of	ADP
cana-4453	62	4	this	this	DET
cana-4453	62	5	work	work	NOUN
cana-4453	62	6	we	we	PRON
cana-4453	62	7	can	can	AUX
cana-4453	62	8	also	also	ADV
cana-4453	62	9	use	use	VERB
cana-4453	62	10	harmonic	harmonic	ADJ
cana-4453	62	11	mean	mean	NOUN
cana-4453	62	12	type	type	NOUN
cana-4453	62	13	incidence	incidence	NOUN
cana-4453	62	14	rate	rate	NOUN
cana-4453	62	15	for	for	ADP
cana-4453	62	16	control	control	NOUN
cana-4453	62	17	the	the	DET
cana-4453	62	18	disease	disease	NOUN
cana-4453	62	19	.	.	PUNCT
cana-4453	63	1	reference	reference	NOUN
cana-4453	63	2	:	:	PUNCT
cana-4453	64	1	[	[	X
cana-4453	64	2	1	1	X
cana-4453	64	3	]	]	X
cana-4453	64	4	kumari	kumari	PROPN
cana-4453	64	5	k.	k.	PROPN
cana-4453	64	6	k.	k.	PROPN
cana-4453	64	7	,	,	PUNCT
cana-4453	64	8	singh	singh	PROPN
cana-4453	64	9	a.	a.	PROPN
cana-4453	64	10	,	,	PUNCT
cana-4453	64	11	mahto	mahto	PROPN
cana-4453	64	12	.	.	PUNCT
cana-4453	65	1	s.	s.	PROPN
cana-4453	65	2	,	,	PUNCT
cana-4453	65	3	“	"	PUNCT
cana-4453	65	4	mathematical	mathematical	ADJ
cana-4453	65	5	models	model	NOUN
cana-4453	65	6	for	for	ADP
cana-4453	65	7	stability	stability	NOUN
cana-4453	65	8	in	in	ADP
cana-4453	65	9	computer	computer	NOUN
cana-4453	65	10	network	network	NOUN
cana-4453	65	11	”	"	PUNCT
cana-4453	65	12	,	,	PUNCT
cana-4453	65	13	journal	journal	NOUN
cana-4453	65	14	of	of	ADP
cana-4453	65	15	computer	computer	NOUN
cana-4453	65	16	and	and	CCONJ
cana-4453	65	17	mathematical	mathematical	ADJ
cana-4453	65	18	sciences	science	NOUN
cana-4453	65	19	,	,	PUNCT
cana-4453	65	20	vol.10(1	vol.10(1	ADJ
cana-4453	65	21	)	)	PUNCT
cana-4453	65	22	,	,	PUNCT
cana-4453	65	23	pp.92	pp.92	NOUN
cana-4453	65	24	-	-	PUNCT
cana-4453	65	25	98	98	NUM
cana-4453	65	26	january	january	NOUN
cana-4453	65	27	2019	2019	NUM
cana-4453	65	28	.	.	PUNCT
cana-4453	66	1	[	[	X
cana-4453	66	2	2	2	X
cana-4453	66	3	]	]	X
cana-4453	66	4	kumari	kumari	PROPN
cana-4453	66	5	k.	k.	PROPN
cana-4453	66	6	k.	k.	PROPN
cana-4453	66	7	,	,	PUNCT
cana-4453	66	8	singh	singh	PROPN
cana-4453	66	9	a.	a.	PROPN
cana-4453	66	10	,	,	PUNCT
cana-4453	66	11	mahto	mahto	PROPN
cana-4453	66	12	.	.	PUNCT
cana-4453	67	1	s.	s.	PROPN
cana-4453	67	2	,	,	PUNCT
cana-4453	67	3	“	"	PUNCT
cana-4453	67	4	time	time	NOUN
cana-4453	67	5	delay	delay	VERB
cana-4453	67	6	seirs	seirs	PROPN
cana-4453	67	7	e	e	PROPN
cana-4453	67	8	-	-	ADJ
cana-4453	67	9	epidemic	epidemic	ADJ
cana-4453	67	10	model	model	NOUN
cana-4453	67	11	for	for	ADP
cana-4453	67	12	computer	computer	NOUN
cana-4453	67	13	network	network	NOUN
cana-4453	67	14	”	"	PUNCT
cana-4453	67	15	,	,	PUNCT
cana-4453	67	16	international	international	ADJ
cana-4453	67	17	journal	journal	NOUN
cana-4453	67	18	of	of	ADP
cana-4453	67	19	mathematical	mathematical	ADJ
cana-4453	67	20	archive-9(2	archive-9(2	NOUN
cana-4453	67	21	)	)	PUNCT
cana-4453	67	22	,	,	PUNCT
cana-4453	67	23	2018	2018	NUM
cana-4453	67	24	,	,	PUNCT
cana-4453	67	25	pp.265	pp.265	NOUN
cana-4453	67	26	-	-	PUNCT
cana-4453	67	27	273	273	NUM
cana-4453	67	28	.	.	PUNCT
cana-4453	68	1	[	[	X
cana-4453	68	2	3	3	NUM
cana-4453	68	3	]	]	X
cana-4453	68	4	al	al	PROPN
cana-4453	68	5	-	-	PUNCT
cana-4453	68	6	sulami	sulami	PROPN
cana-4453	68	7	h.	h.	PROPN
cana-4453	68	8	,	,	PUNCT
cana-4453	68	9	el	el	PROPN
cana-4453	68	10	-	-	PUNCT
cana-4453	68	11	shahed	shahe	VERB
cana-4453	68	12	m.	m.	NOUN
cana-4453	68	13	,	,	PUNCT
cana-4453	68	14	nieto	nieto	PROPN
cana-4453	68	15	j.	j.	PROPN
cana-4453	68	16	j.	j.	PROPN
cana-4453	68	17	and	and	CCONJ
cana-4453	68	18	shammakh	shammakh	VERB
cana-4453	68	19	w.	w.	PROPN
cana-4453	68	20	,	,	PUNCT
cana-4453	68	21	“	"	PUNCT
cana-4453	68	22	on	on	ADP
cana-4453	68	23	fractional	fractional	ADJ
cana-4453	68	24	order	order	NOUN
cana-4453	68	25	dengue	dengue	NOUN
cana-4453	68	26	epidemic	epidemic	NOUN
cana-4453	68	27	model	model	NOUN
cana-4453	68	28	”	"	PUNCT
cana-4453	68	29	,	,	PUNCT
cana-4453	68	30	mathematical	mathematical	ADJ
cana-4453	68	31	problem	problem	NOUN
cana-4453	68	32	in	in	ADP
cana-4453	68	33	engineering	engineering	NOUN
cana-4453	68	34	,	,	PUNCT
cana-4453	68	35	2014,pp-1	2014,pp-1	NUM
cana-4453	68	36	-	-	SYM
cana-4453	68	37	6	6	NUM
cana-4453	68	38	.	.	PUNCT
cana-4453	69	1	[	[	X
cana-4453	69	2	4	4	X
cana-4453	69	3	]	]	X
cana-4453	69	4	hamdan	hamdan	PROPN
cana-4453	69	5	n.	n.	PROPN
cana-4453	69	6	i.	i.	PROPN
cana-4453	69	7	and	and	CCONJ
cana-4453	69	8	kilicman	kilicman	PROPN
cana-4453	69	9	a.	a.	PROPN
cana-4453	69	10	,	,	PUNCT
cana-4453	69	11	“	"	PUNCT
cana-4453	69	12	a	a	DET
cana-4453	69	13	fractional	fractional	ADJ
cana-4453	69	14	order	order	NOUN
cana-4453	69	15	sir	sir	NOUN
cana-4453	69	16	epidemic	epidemic	NOUN
cana-4453	69	17	model	model	NOUN
cana-4453	69	18	for	for	ADP
cana-4453	69	19	dengue	dengue	NOUN
cana-4453	69	20	transmission	transmission	NOUN
cana-4453	69	21	”	"	PUNCT
cana-4453	69	22	,	,	PUNCT
cana-4453	69	23	chaos	chaos	NOUN
cana-4453	69	24	,	,	PUNCT
cana-4453	69	25	solitons	soliton	NOUN
cana-4453	69	26	and	and	CCONJ
cana-4453	69	27	fractals	fractal	NOUN
cana-4453	69	28	114(2018	114(2018	NOUN
cana-4453	69	29	)	)	PUNCT
cana-4453	69	30	,	,	PUNCT
cana-4453	69	31	pp-55	pp-55	NOUN
cana-4453	69	32	-	-	PUNCT
cana-4453	69	33	62	62	NUM
cana-4453	69	34	.	.	PUNCT
cana-4453	70	1	[	[	X
cana-4453	70	2	5]defterli	5]defterli	NUM
cana-4453	70	3	o.	o.	NOUN
cana-4453	70	4	,	,	PUNCT
cana-4453	70	5	“	"	PUNCT
cana-4453	70	6	modeling	model	VERB
cana-4453	70	7	the	the	DET
cana-4453	70	8	impact	impact	NOUN
cana-4453	70	9	of	of	ADP
cana-4453	70	10	temperature	temperature	NOUN
cana-4453	70	11	on	on	ADP
cana-4453	70	12	fractional	fractional	ADJ
cana-4453	70	13	order	order	NOUN
cana-4453	70	14	dengue	dengue	NOUN
cana-4453	70	15	model	model	NOUN
cana-4453	70	16	with	with	ADP
cana-4453	70	17	vertical	vertical	ADJ
cana-4453	70	18	transmission	transmission	NOUN
cana-4453	70	19	”	"	PUNCT
cana-4453	70	20	,	,	PUNCT
cana-4453	70	21	an	an	DET
cana-4453	70	22	international	international	ADJ
cana-4453	70	23	journal	journal	NOUN
cana-4453	70	24	of	of	ADP
cana-4453	70	25	optimization	optimization	NOUN
cana-4453	70	26	and	and	CCONJ
cana-4453	70	27	control	control	NOUN
cana-4453	70	28	:	:	PUNCT
cana-4453	70	29	theories	theory	NOUN
cana-4453	70	30	&	&	CCONJ
cana-4453	70	31	applications	application	NOUN
cana-4453	70	32	,	,	PUNCT
cana-4453	70	33	vol	vol	NOUN
cana-4453	70	34	.	.	PUNCT
cana-4453	71	1	10(1	10(1	NUM
cana-4453	71	2	)	)	PUNCT
cana-4453	71	3	,	,	PUNCT
cana-4453	71	4	2020	2020	NUM
cana-4453	71	5	pp-85	pp-85	PROPN
cana-4453	71	6	-	-	PUNCT
cana-4453	71	7	93	93	NUM
cana-4453	71	8	.	.	PUNCT
cana-4453	72	1	[	[	X
cana-4453	72	2	6	6	NUM
cana-4453	72	3	]	]	PUNCT
cana-4453	72	4	i.podlubny	i.podlubny	ADP
cana-4453	72	5	,	,	PUNCT
cana-4453	72	6	fractional	fractional	ADJ
cana-4453	72	7	differential	differential	ADJ
cana-4453	72	8	equations	equation	NOUN
cana-4453	72	9	,	,	PUNCT
cana-4453	72	10	academic	academic	ADJ
cana-4453	72	11	press	press	NOUN
cana-4453	72	12	,	,	PUNCT
cana-4453	72	13	new	new	PROPN
cana-4453	72	14	york	york	PROPN
cana-4453	72	15	,	,	PUNCT
cana-4453	72	16	ny	ny	PROPN
cana-4453	72	17	,	,	PUNCT
cana-4453	72	18	usa	usa	PROPN
cana-4453	72	19	,	,	PUNCT
cana-4453	72	20	1999	1999	NUM
cana-4453	72	21	[	[	X
cana-4453	72	22	7	7	NUM
cana-4453	72	23	]	]	SYM
cana-4453	72	24	a.a.kilbas	a.a.kilbas	PROPN
cana-4453	72	25	,	,	PUNCT
cana-4453	72	26	h.m	h.m	PROPN
cana-4453	72	27	.	.	PROPN
cana-4453	72	28	srivastava	srivastava	PROPN
cana-4453	72	29	and	and	CCONJ
cana-4453	72	30	j.j.trujillo	j.j.trujillo	PROPN
cana-4453	72	31	,	,	PUNCT
cana-4453	72	32	theory	theory	NOUN
cana-4453	72	33	and	and	CCONJ
cana-4453	72	34	application	application	NOUN
cana-4453	72	35	fractional	fractional	ADJ
cana-4453	72	36	differential	differential	NOUN
cana-4453	72	37	equation	equation	NOUN
cana-4453	72	38	,	,	PUNCT
cana-4453	72	39	elseviesr	elseviesr	PROPN
cana-4453	72	40	,	,	PUNCT
cana-4453	72	41	amsterclam	amsterclam	VERB
cana-4453	72	42	the	the	DET
cana-4453	72	43	netherlands	netherlands	PROPN
cana-4453	72	44	,	,	PUNCT
cana-4453	72	45	2006	2006	NUM
cana-4453	72	46	.	.	PUNCT