id	sid	tid	token	lemma	pos
ejpam-6522	1	1	european	european	PROPN
ejpam-6522	1	2	journal	journal	PROPN
ejpam-6522	1	3	of	of	ADP
ejpam-6522	1	4	pure	pure	ADJ
ejpam-6522	1	5	and	and	CCONJ
ejpam-6522	1	6	applied	applied	ADJ
ejpam-6522	1	7	mathematics	mathematic	NOUN
ejpam-6522	1	8	2025	2025	NUM
ejpam-6522	1	9	,	,	PUNCT
ejpam-6522	1	10	vol	vol	NOUN
ejpam-6522	1	11	.	.	PROPN
ejpam-6522	1	12	18	18	NUM
ejpam-6522	1	13	,	,	PUNCT
ejpam-6522	1	14	issue	issue	NOUN
ejpam-6522	1	15	3	3	NUM
ejpam-6522	1	16	,	,	PUNCT
ejpam-6522	1	17	article	article	NOUN
ejpam-6522	1	18	number	number	NOUN
ejpam-6522	1	19	6522	6522	NUM
ejpam-6522	1	20	issn	issn	PROPN
ejpam-6522	1	21	1307	1307	NUM
ejpam-6522	1	22	-	-	SYM
ejpam-6522	1	23	5543	5543	NUM
ejpam-6522	1	24	–	–	PUNCT
ejpam-6522	1	25	ejpam.com	ejpam.com	X
ejpam-6522	1	26	published	publish	VERB
ejpam-6522	1	27	by	by	ADP
ejpam-6522	1	28	new	new	PROPN
ejpam-6522	1	29	york	york	PROPN
ejpam-6522	1	30	business	business	PROPN
ejpam-6522	1	31	global	global	ADJ
ejpam-6522	1	32	stability	stability	NOUN
ejpam-6522	1	33	analysis	analysis	NOUN
ejpam-6522	1	34	and	and	CCONJ
ejpam-6522	1	35	numerical	numerical	PROPN
ejpam-6522	1	36	simulation	simulation	NOUN
ejpam-6522	1	37	of	of	ADP
ejpam-6522	1	38	fractional	fractional	ADJ
ejpam-6522	1	39	-	-	PUNCT
ejpam-6522	1	40	order	order	NOUN
ejpam-6522	1	41	models	model	NOUN
ejpam-6522	1	42	for	for	ADP
ejpam-6522	1	43	wolbachia	wolbachia	NOUN
ejpam-6522	1	44	transmission	transmission	NOUN
ejpam-6522	1	45	in	in	ADP
ejpam-6522	1	46	aedes	aedes	PROPN
ejpam-6522	1	47	aegypti	aegypti	VERB
ejpam-6522	1	48	mosquitoes	mosquito	NOUN
ejpam-6522	1	49	with	with	ADP
ejpam-6522	1	50	seasonal	seasonal	ADJ
ejpam-6522	1	51	effects	effect	NOUN
ejpam-6522	1	52	mohammad	mohammad	PROPN
ejpam-6522	1	53	yar1,2,∗	yar1,2,∗	PROPN
ejpam-6522	1	54	,	,	PUNCT
ejpam-6522	1	55	shumaila	shumaila	VERB
ejpam-6522	1	56	javeed1	javeed1	PROPN
ejpam-6522	1	57	,	,	PUNCT
ejpam-6522	1	58	tanveer	tanveer	PROPN
ejpam-6522	1	59	abbas	abbas	PROPN
ejpam-6522	1	60	khan1	khan1	PROPN
ejpam-6522	2	1	1	1	NUM
ejpam-6522	2	2	department	department	NOUN
ejpam-6522	2	3	of	of	ADP
ejpam-6522	2	4	mathematics	mathematic	NOUN
ejpam-6522	2	5	,	,	PUNCT
ejpam-6522	2	6	comsats	comsats	PROPN
ejpam-6522	2	7	university	university	PROPN
ejpam-6522	2	8	islamabad	islamabad	NOUN
ejpam-6522	2	9	,	,	PUNCT
ejpam-6522	2	10	park	park	NOUN
ejpam-6522	2	11	road	road	NOUN
ejpam-6522	2	12	,	,	PUNCT
ejpam-6522	2	13	chak	chak	PROPN
ejpam-6522	2	14	shahzad	shahzad	PROPN
ejpam-6522	2	15	islamabad	islamabad	PROPN
ejpam-6522	2	16	,	,	PUNCT
ejpam-6522	2	17	45550	45550	NUM
ejpam-6522	2	18	,	,	PUNCT
ejpam-6522	2	19	pakistan	pakistan	PROPN
ejpam-6522	2	20	2	2	NUM
ejpam-6522	2	21	department	department	NOUN
ejpam-6522	2	22	of	of	ADP
ejpam-6522	2	23	mathematics	mathematics	PROPN
ejpam-6522	2	24	,	,	PUNCT
ejpam-6522	2	25	kabul	kabul	PROPN
ejpam-6522	2	26	polytechnic	polytechnic	PROPN
ejpam-6522	2	27	university	university	PROPN
ejpam-6522	2	28	,	,	PUNCT
ejpam-6522	2	29	kabul	kabul	PROPN
ejpam-6522	2	30	1001	1001	NUM
ejpam-6522	2	31	,	,	PUNCT
ejpam-6522	2	32	afghanistan	afghanistan	PROPN
ejpam-6522	2	33	abstract	abstract	NOUN
ejpam-6522	2	34	.	.	PUNCT
ejpam-6522	3	1	mosquito	mosquito	ADJ
ejpam-6522	3	2	-	-	PUNCT
ejpam-6522	3	3	borne	bear	VERB
ejpam-6522	3	4	diseases	disease	NOUN
ejpam-6522	3	5	have	have	AUX
ejpam-6522	3	6	historically	historically	ADV
ejpam-6522	3	7	impacted	impact	VERB
ejpam-6522	3	8	people	people	NOUN
ejpam-6522	3	9	and	and	CCONJ
ejpam-6522	3	10	remain	remain	VERB
ejpam-6522	3	11	a	a	DET
ejpam-6522	3	12	global	global	ADJ
ejpam-6522	3	13	problem	problem	NOUN
ejpam-6522	3	14	.	.	PUNCT
ejpam-6522	4	1	wolbachia	wolbachia	PROPN
ejpam-6522	4	2	represents	represent	VERB
ejpam-6522	4	3	an	an	DET
ejpam-6522	4	4	innovative	innovative	ADJ
ejpam-6522	4	5	vector	vector	NOUN
ejpam-6522	4	6	management	management	NOUN
ejpam-6522	4	7	strategy	strategy	NOUN
ejpam-6522	4	8	capable	capable	ADJ
ejpam-6522	4	9	of	of	ADP
ejpam-6522	4	10	diminishing	diminish	VERB
ejpam-6522	4	11	mosquito	mosquito	ADJ
ejpam-6522	4	12	populations	population	NOUN
ejpam-6522	4	13	and	and	CCONJ
ejpam-6522	4	14	reducing	reduce	VERB
ejpam-6522	4	15	the	the	DET
ejpam-6522	4	16	threat	threat	NOUN
ejpam-6522	4	17	of	of	ADP
ejpam-6522	4	18	mosquito	mosquito	ADJ
ejpam-6522	4	19	-	-	PUNCT
ejpam-6522	4	20	borne	bear	VERB
ejpam-6522	4	21	diseases	disease	NOUN
ejpam-6522	4	22	.	.	PUNCT
ejpam-6522	5	1	in	in	ADP
ejpam-6522	5	2	order	order	NOUN
ejpam-6522	5	3	to	to	PART
ejpam-6522	5	4	provide	provide	VERB
ejpam-6522	5	5	optimal	optimal	ADJ
ejpam-6522	5	6	and	and	CCONJ
ejpam-6522	5	7	efficient	efficient	ADJ
ejpam-6522	5	8	control	control	NOUN
ejpam-6522	5	9	,	,	PUNCT
ejpam-6522	5	10	wolbachia	wolbachia	PROPN
ejpam-6522	5	11	should	should	AUX
ejpam-6522	5	12	be	be	AUX
ejpam-6522	5	13	released	release	VERB
ejpam-6522	5	14	at	at	ADP
ejpam-6522	5	15	each	each	DET
ejpam-6522	5	16	step	step	NOUN
ejpam-6522	5	17	of	of	ADP
ejpam-6522	5	18	the	the	DET
ejpam-6522	5	19	mosquito	mosquito	ADJ
ejpam-6522	5	20	life	life	NOUN
ejpam-6522	5	21	cycle	cycle	NOUN
ejpam-6522	5	22	.	.	PUNCT
ejpam-6522	6	1	employing	employ	VERB
ejpam-6522	6	2	fractional	fractional	ADJ
ejpam-6522	6	3	calculus	calculus	NOUN
ejpam-6522	6	4	enables	enable	VERB
ejpam-6522	6	5	the	the	DET
ejpam-6522	6	6	capture	capture	NOUN
ejpam-6522	6	7	of	of	ADP
ejpam-6522	6	8	memory	memory	NOUN
ejpam-6522	6	9	effects	effect	NOUN
ejpam-6522	6	10	and	and	CCONJ
ejpam-6522	6	11	hereditary	hereditary	ADJ
ejpam-6522	6	12	characteristics	characteristic	NOUN
ejpam-6522	6	13	of	of	ADP
ejpam-6522	6	14	this	this	DET
ejpam-6522	6	15	process	process	NOUN
ejpam-6522	6	16	.	.	PUNCT
ejpam-6522	7	1	in	in	ADP
ejpam-6522	7	2	this	this	DET
ejpam-6522	7	3	study	study	NOUN
ejpam-6522	7	4	,	,	PUNCT
ejpam-6522	7	5	we	we	PRON
ejpam-6522	7	6	develop	develop	VERB
ejpam-6522	7	7	and	and	CCONJ
ejpam-6522	7	8	analyze	analyze	VERB
ejpam-6522	7	9	a	a	DET
ejpam-6522	7	10	fractional	fractional	ADJ
ejpam-6522	7	11	-	-	PUNCT
ejpam-6522	7	12	order	order	NOUN
ejpam-6522	7	13	mathematical	mathematical	ADJ
ejpam-6522	7	14	model	model	NOUN
ejpam-6522	7	15	to	to	PART
ejpam-6522	7	16	investigate	investigate	VERB
ejpam-6522	7	17	wolbachia	wolbachia	NOUN
ejpam-6522	7	18	transmission	transmission	NOUN
ejpam-6522	7	19	dynamics	dynamic	NOUN
ejpam-6522	7	20	,	,	PUNCT
ejpam-6522	7	21	which	which	PRON
ejpam-6522	7	22	accounts	account	VERB
ejpam-6522	7	23	for	for	ADP
ejpam-6522	7	24	imperfect	imperfect	ADJ
ejpam-6522	7	25	maternal	maternal	ADJ
ejpam-6522	7	26	transmission	transmission	NOUN
ejpam-6522	7	27	and	and	CCONJ
ejpam-6522	7	28	infection	infection	NOUN
ejpam-6522	7	29	loss	loss	NOUN
ejpam-6522	7	30	.	.	PUNCT
ejpam-6522	8	1	the	the	DET
ejpam-6522	8	2	model	model	NOUN
ejpam-6522	8	3	considers	consider	VERB
ejpam-6522	8	4	wolbachia	wolbachia	NOUN
ejpam-6522	8	5	-	-	PUNCT
ejpam-6522	8	6	infected	infected	ADJ
ejpam-6522	8	7	and	and	CCONJ
ejpam-6522	8	8	uninfected	uninfected	ADJ
ejpam-6522	8	9	subpopulations	subpopulation	NOUN
ejpam-6522	8	10	of	of	ADP
ejpam-6522	8	11	aedes	aedes	PROPN
ejpam-6522	8	12	aegypti	aegypti	VERB
ejpam-6522	8	13	mosquitoes	mosquito	NOUN
ejpam-6522	8	14	,	,	PUNCT
ejpam-6522	8	15	assuming	assume	VERB
ejpam-6522	8	16	equal	equal	ADJ
ejpam-6522	8	17	numbers	number	NOUN
ejpam-6522	8	18	of	of	ADP
ejpam-6522	8	19	adult	adult	NOUN
ejpam-6522	8	20	males	male	NOUN
ejpam-6522	8	21	and	and	CCONJ
ejpam-6522	8	22	females	female	NOUN
ejpam-6522	8	23	.	.	PUNCT
ejpam-6522	9	1	we	we	PRON
ejpam-6522	9	2	establish	establish	VERB
ejpam-6522	9	3	the	the	DET
ejpam-6522	9	4	positivity	positivity	NOUN
ejpam-6522	9	5	and	and	CCONJ
ejpam-6522	9	6	boundedness	boundedness	NOUN
ejpam-6522	9	7	of	of	ADP
ejpam-6522	9	8	solutions	solution	NOUN
ejpam-6522	9	9	for	for	ADP
ejpam-6522	9	10	non	non	ADJ
ejpam-6522	9	11	-	-	ADJ
ejpam-6522	9	12	negative	negative	ADJ
ejpam-6522	9	13	initial	initial	ADJ
ejpam-6522	9	14	conditions	condition	NOUN
ejpam-6522	9	15	.	.	PUNCT
ejpam-6522	10	1	the	the	DET
ejpam-6522	10	2	invasive	invasive	ADJ
ejpam-6522	10	3	reproduction	reproduction	NOUN
ejpam-6522	10	4	number	number	NOUN
ejpam-6522	10	5	r0w|w̄	r0w|w̄	NOUN
ejpam-6522	10	6	has	have	AUX
ejpam-6522	10	7	been	be	AUX
ejpam-6522	10	8	found	find	VERB
ejpam-6522	10	9	to	to	PART
ejpam-6522	10	10	determine	determine	VERB
ejpam-6522	10	11	whether	whether	SCONJ
ejpam-6522	10	12	the	the	DET
ejpam-6522	10	13	wolbachia	wolbachia	NOUN
ejpam-6522	10	14	infection	infection	NOUN
ejpam-6522	10	15	spreads	spread	VERB
ejpam-6522	10	16	.	.	PUNCT
ejpam-6522	11	1	we	we	PRON
ejpam-6522	11	2	consider	consider	VERB
ejpam-6522	11	3	two	two	NUM
ejpam-6522	11	4	fractional	fractional	ADJ
ejpam-6522	11	5	-	-	PUNCT
ejpam-6522	11	6	order	order	NOUN
ejpam-6522	11	7	models	model	NOUN
ejpam-6522	11	8	:	:	PUNCT
ejpam-6522	11	9	one	one	NOUN
ejpam-6522	11	10	that	that	PRON
ejpam-6522	11	11	ignores	ignore	VERB
ejpam-6522	11	12	the	the	DET
ejpam-6522	11	13	impacts	impact	NOUN
ejpam-6522	11	14	of	of	ADP
ejpam-6522	11	15	seasons	season	NOUN
ejpam-6522	11	16	on	on	ADP
ejpam-6522	11	17	the	the	DET
ejpam-6522	11	18	mosquito	mosquito	ADJ
ejpam-6522	11	19	populations	population	NOUN
ejpam-6522	11	20	and	and	CCONJ
ejpam-6522	11	21	another	another	PRON
ejpam-6522	11	22	that	that	PRON
ejpam-6522	11	23	incorporates	incorporate	VERB
ejpam-6522	11	24	these	these	DET
ejpam-6522	11	25	effects	effect	NOUN
ejpam-6522	11	26	.	.	PUNCT
ejpam-6522	12	1	furthermore	furthermore	ADV
ejpam-6522	12	2	,	,	PUNCT
ejpam-6522	12	3	the	the	DET
ejpam-6522	12	4	stability	stability	NOUN
ejpam-6522	12	5	of	of	ADP
ejpam-6522	12	6	the	the	DET
ejpam-6522	12	7	model	model	NOUN
ejpam-6522	12	8	is	be	AUX
ejpam-6522	12	9	analyzed	analyze	VERB
ejpam-6522	12	10	using	use	VERB
ejpam-6522	12	11	lyapunov	lyapunov	ADJ
ejpam-6522	12	12	functions	function	NOUN
ejpam-6522	12	13	and	and	CCONJ
ejpam-6522	12	14	ulam	ulam	NOUN
ejpam-6522	12	15	-	-	PUNCT
ejpam-6522	12	16	hyers	hyer	NOUN
ejpam-6522	12	17	stability	stability	NOUN
ejpam-6522	12	18	theories	theory	NOUN
ejpam-6522	12	19	.	.	PUNCT
ejpam-6522	13	1	the	the	DET
ejpam-6522	13	2	models	model	NOUN
ejpam-6522	13	3	are	be	AUX
ejpam-6522	13	4	numerically	numerically	ADV
ejpam-6522	13	5	solved	solve	VERB
ejpam-6522	13	6	using	use	VERB
ejpam-6522	13	7	the	the	DET
ejpam-6522	13	8	adams	adams	PROPN
ejpam-6522	13	9	-	-	PUNCT
ejpam-6522	13	10	bashforth	bashforth	NOUN
ejpam-6522	13	11	-	-	PUNCT
ejpam-6522	13	12	moulton	moulton	NOUN
ejpam-6522	13	13	technique	technique	NOUN
ejpam-6522	13	14	,	,	PUNCT
ejpam-6522	13	15	demonstrating	demonstrate	VERB
ejpam-6522	13	16	the	the	DET
ejpam-6522	13	17	effects	effect	NOUN
ejpam-6522	13	18	of	of	ADP
ejpam-6522	13	19	model	model	NOUN
ejpam-6522	13	20	parameters	parameter	NOUN
ejpam-6522	13	21	and	and	CCONJ
ejpam-6522	13	22	fractional	fractional	ADJ
ejpam-6522	13	23	-	-	PUNCT
ejpam-6522	13	24	order	order	NOUN
ejpam-6522	13	25	values	value	NOUN
ejpam-6522	13	26	.	.	PUNCT
ejpam-6522	14	1	based	base	VERB
ejpam-6522	14	2	on	on	ADP
ejpam-6522	14	3	the	the	DET
ejpam-6522	14	4	results	result	NOUN
ejpam-6522	14	5	,	,	PUNCT
ejpam-6522	14	6	we	we	PRON
ejpam-6522	14	7	find	find	VERB
ejpam-6522	14	8	that	that	SCONJ
ejpam-6522	14	9	the	the	DET
ejpam-6522	14	10	fractional	fractional	ADJ
ejpam-6522	14	11	order	order	NOUN
ejpam-6522	14	12	α	α	NOUN
ejpam-6522	14	13	=	=	SYM
ejpam-6522	14	14	0.5	0.5	NUM
ejpam-6522	14	15	is	be	AUX
ejpam-6522	14	16	optimal	optimal	ADJ
ejpam-6522	14	17	,	,	PUNCT
ejpam-6522	14	18	and	and	CCONJ
ejpam-6522	14	19	the	the	DET
ejpam-6522	14	20	corresponding	corresponding	ADJ
ejpam-6522	14	21	conditions	condition	NOUN
ejpam-6522	14	22	could	could	AUX
ejpam-6522	14	23	be	be	AUX
ejpam-6522	14	24	applied	apply	VERB
ejpam-6522	14	25	in	in	ADP
ejpam-6522	14	26	real	real	ADJ
ejpam-6522	14	27	-	-	PUNCT
ejpam-6522	14	28	world	world	NOUN
ejpam-6522	14	29	experiments	experiment	NOUN
ejpam-6522	14	30	to	to	PART
ejpam-6522	14	31	increase	increase	VERB
ejpam-6522	14	32	the	the	DET
ejpam-6522	14	33	population	population	NOUN
ejpam-6522	14	34	of	of	ADP
ejpam-6522	14	35	wolbachia	wolbachia	NOUN
ejpam-6522	14	36	-	-	PUNCT
ejpam-6522	14	37	infected	infect	VERB
ejpam-6522	14	38	mosquitoes	mosquito	NOUN
ejpam-6522	14	39	.	.	PUNCT
ejpam-6522	15	1	these	these	DET
ejpam-6522	15	2	results	result	NOUN
ejpam-6522	15	3	highlight	highlight	VERB
ejpam-6522	15	4	the	the	DET
ejpam-6522	15	5	importance	importance	NOUN
ejpam-6522	15	6	of	of	ADP
ejpam-6522	15	7	fractional	fractional	ADJ
ejpam-6522	15	8	-	-	PUNCT
ejpam-6522	15	9	order	order	NOUN
ejpam-6522	15	10	modeling	modeling	NOUN
ejpam-6522	15	11	.	.	PUNCT
ejpam-6522	16	1	2020	2020	NUM
ejpam-6522	16	2	mathematics	mathematic	NOUN
ejpam-6522	16	3	subject	subject	NOUN
ejpam-6522	16	4	classifications	classification	NOUN
ejpam-6522	16	5	:	:	PUNCT
ejpam-6522	16	6	34a08	34a08	NUM
ejpam-6522	16	7	,	,	PUNCT
ejpam-6522	16	8	92d30	92d30	NUM
ejpam-6522	16	9	,	,	PUNCT
ejpam-6522	16	10	34d20	34d20	NUM
ejpam-6522	16	11	key	key	ADJ
ejpam-6522	16	12	words	word	NOUN
ejpam-6522	16	13	and	and	CCONJ
ejpam-6522	16	14	phrases	phrase	NOUN
ejpam-6522	16	15	:	:	PUNCT
ejpam-6522	16	16	wolbachia	wolbachia	PROPN
ejpam-6522	16	17	,	,	PUNCT
ejpam-6522	16	18	aedes	aedes	PROPN
ejpam-6522	16	19	aegypti	aegypti	PROPN
ejpam-6522	16	20	,	,	PUNCT
ejpam-6522	16	21	fractional	fractional	ADJ
ejpam-6522	16	22	calculus	calculus	NOUN
ejpam-6522	16	23	,	,	PUNCT
ejpam-6522	16	24	lyapunov	lyapunov	NOUN
ejpam-6522	16	25	function	function	NOUN
ejpam-6522	16	26	,	,	PUNCT
ejpam-6522	16	27	ulamhyers	ulamhyer	NOUN
ejpam-6522	16	28	stability	stability	NOUN
ejpam-6522	16	29	,	,	PUNCT
ejpam-6522	16	30	seasonal	seasonal	ADJ
ejpam-6522	16	31	effects	effect	NOUN
ejpam-6522	16	32	,	,	PUNCT
ejpam-6522	16	33	adams	adams	PROPN
ejpam-6522	16	34	-	-	PUNCT
ejpam-6522	16	35	bashforth	bashforth	PROPN
ejpam-6522	16	36	-	-	PUNCT
ejpam-6522	16	37	moulton	moulton	PROPN
ejpam-6522	16	38	method	method	NOUN
ejpam-6522	16	39	1	1	NUM
ejpam-6522	16	40	.	.	PUNCT
ejpam-6522	17	1	introduction	introduction	NOUN
ejpam-6522	17	2	mosquito	mosquito	NOUN
ejpam-6522	17	3	-	-	PUNCT
ejpam-6522	17	4	borne	bear	VERB
ejpam-6522	17	5	diseases	disease	NOUN
ejpam-6522	17	6	are	be	AUX
ejpam-6522	17	7	predominantly	predominantly	ADV
ejpam-6522	17	8	transmitted	transmit	VERB
ejpam-6522	17	9	by	by	ADP
ejpam-6522	17	10	female	female	ADJ
ejpam-6522	17	11	mosquitoes	mosquito	NOUN
ejpam-6522	17	12	while	while	SCONJ
ejpam-6522	17	13	feeding	feed	VERB
ejpam-6522	17	14	on	on	ADP
ejpam-6522	17	15	the	the	DET
ejpam-6522	17	16	blood	blood	NOUN
ejpam-6522	17	17	of	of	ADP
ejpam-6522	17	18	living	live	VERB
ejpam-6522	17	19	organisms	organism	NOUN
ejpam-6522	17	20	,	,	PUNCT
ejpam-6522	17	21	including	include	VERB
ejpam-6522	17	22	humans	human	NOUN
ejpam-6522	17	23	,	,	PUNCT
ejpam-6522	17	24	animals	animal	NOUN
ejpam-6522	17	25	,	,	PUNCT
ejpam-6522	17	26	and	and	CCONJ
ejpam-6522	17	27	birds	bird	NOUN
ejpam-6522	17	28	.	.	PUNCT
ejpam-6522	18	1	a	a	DET
ejpam-6522	18	2	female	female	ADJ
ejpam-6522	18	3	mosquito	mosquito	NOUN
ejpam-6522	18	4	infected	infect	VERB
ejpam-6522	18	5	with	with	ADP
ejpam-6522	18	6	a	a	DET
ejpam-6522	18	7	parasite	parasite	NOUN
ejpam-6522	18	8	,	,	PUNCT
ejpam-6522	18	9	virus	virus	NOUN
ejpam-6522	18	10	,	,	PUNCT
ejpam-6522	18	11	or	or	CCONJ
ejpam-6522	18	12	bacterium	bacterium	NOUN
ejpam-6522	18	13	can	can	AUX
ejpam-6522	18	14	transmit	transmit	VERB
ejpam-6522	18	15	these	these	DET
ejpam-6522	18	16	pathogens	pathogen	NOUN
ejpam-6522	18	17	to	to	ADP
ejpam-6522	18	18	humans	human	NOUN
ejpam-6522	18	19	[	[	X
ejpam-6522	18	20	1	1	NUM
ejpam-6522	18	21	]	]	PUNCT
ejpam-6522	18	22	.	.	PUNCT
ejpam-6522	19	1	dengue	dengue	NOUN
ejpam-6522	19	2	fever	fever	NOUN
ejpam-6522	19	3	is	be	AUX
ejpam-6522	19	4	widespread	widespread	ADJ
ejpam-6522	19	5	globally	globally	ADV
ejpam-6522	19	6	,	,	PUNCT
ejpam-6522	19	7	with	with	ADP
ejpam-6522	19	8	approximately	approximately	ADV
ejpam-6522	19	9	3.9	3.9	NUM
ejpam-6522	19	10	billion	billion	NUM
ejpam-6522	19	11	individuals	individual	NOUN
ejpam-6522	19	12	at	at	ADP
ejpam-6522	19	13	risk	risk	NOUN
ejpam-6522	19	14	and	and	CCONJ
ejpam-6522	19	15	390	390	NUM
ejpam-6522	19	16	million	million	NUM
ejpam-6522	19	17	new	new	ADJ
ejpam-6522	19	18	cases	case	NOUN
ejpam-6522	19	19	annually	annually	ADV
ejpam-6522	19	20	[	[	X
ejpam-6522	19	21	2	2	NUM
ejpam-6522	19	22	]	]	PUNCT
ejpam-6522	19	23	.	.	PUNCT
ejpam-6522	20	1	various	various	ADJ
ejpam-6522	20	2	strategies	strategy	NOUN
ejpam-6522	20	3	exist	exist	VERB
ejpam-6522	20	4	for	for	ADP
ejpam-6522	20	5	managing	manage	VERB
ejpam-6522	20	6	aedes	aedes	PROPN
ejpam-6522	20	7	aegypti	aegypti	VERB
ejpam-6522	20	8	∗corresponding	∗corresponde	VERB
ejpam-6522	20	9	author	author	NOUN
ejpam-6522	20	10	.	.	PUNCT
ejpam-6522	21	1	doi	doi	NOUN
ejpam-6522	21	2	:	:	PUNCT
ejpam-6522	21	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6522	https://doi.org/10.29020/nybg.ejpam.v18i3.6522	ADJ
ejpam-6522	21	4	email	email	NOUN
ejpam-6522	21	5	addresses	address	NOUN
ejpam-6522	21	6	:	:	PUNCT
ejpam-6522	21	7	myar@kpu.edu.af	myar@kpu.edu.af	PROPN
ejpam-6522	21	8	(	(	PUNCT
ejpam-6522	21	9	m.	m.	PROPN
ejpam-6522	21	10	yar	yar	PROPN
ejpam-6522	21	11	)	)	PUNCT
ejpam-6522	21	12	,	,	PUNCT
ejpam-6522	21	13	shumailajaveed@comsats.edu.pk	shumailajaveed@comsats.edu.pk	NOUN
ejpam-6522	21	14	(	(	PUNCT
ejpam-6522	21	15	s.javeed	s.javeed	ADJ
ejpam-6522	21	16	)	)	PUNCT
ejpam-6522	21	17	,	,	PUNCT
ejpam-6522	21	18	tanveerabbas947@gmail.com	tanveerabbas947@gmail.com	X
ejpam-6522	21	19	(	(	PUNCT
ejpam-6522	21	20	t.a.khan	t.a.khan	PROPN
ejpam-6522	21	21	)	)	PUNCT
ejpam-6522	21	22	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6522	22	1	1	1	NUM
ejpam-6522	22	2	copyright	copyright	NOUN
ejpam-6522	22	3	:	:	PUNCT
ejpam-6522	22	4	©	©	PROPN
ejpam-6522	22	5	2025	2025	NUM
ejpam-6522	22	6	the	the	DET
ejpam-6522	22	7	author(s	author(s	NOUN
ejpam-6522	22	8	)	)	PUNCT
ejpam-6522	22	9	.	.	PUNCT
ejpam-6522	23	1	(	(	PUNCT
ejpam-6522	23	2	cc	cc	NOUN
ejpam-6522	23	3	by	by	ADP
ejpam-6522	23	4	-	-	PUNCT
ejpam-6522	23	5	nc	nc	PROPN
ejpam-6522	23	6	4.0	4.0	NUM
ejpam-6522	23	7	)	)	PUNCT
ejpam-6522	23	8	m.	m.	NOUN
ejpam-6522	23	9	yar	yar	PROPN
ejpam-6522	23	10	,	,	PUNCT
ejpam-6522	23	11	s.	s.	PROPN
ejpam-6522	23	12	javeed	javeed	PROPN
ejpam-6522	23	13	,	,	PUNCT
ejpam-6522	23	14	t.	t.	PROPN
ejpam-6522	23	15	abbas	abbas	PROPN
ejpam-6522	23	16	khan	khan	PROPN
ejpam-6522	23	17	/	/	SYM
ejpam-6522	23	18	eur	eur	PROPN
ejpam-6522	23	19	.	.	PUNCT
ejpam-6522	24	1	j.	j.	PROPN
ejpam-6522	24	2	pure	pure	PROPN
ejpam-6522	24	3	appl	appl	PROPN
ejpam-6522	24	4	.	.	PROPN
ejpam-6522	24	5	math	math	PROPN
ejpam-6522	24	6	,	,	PUNCT
ejpam-6522	24	7	18	18	NUM
ejpam-6522	24	8	(	(	PUNCT
ejpam-6522	24	9	3	3	NUM
ejpam-6522	24	10	)	)	PUNCT
ejpam-6522	24	11	(	(	PUNCT
ejpam-6522	24	12	2025	2025	NUM
ejpam-6522	24	13	)	)	PUNCT
ejpam-6522	24	14	,	,	PUNCT
ejpam-6522	24	15	6522	6522	NUM
ejpam-6522	24	16	2	2	NUM
ejpam-6522	24	17	of	of	ADP
ejpam-6522	24	18	23	23	NUM
ejpam-6522	24	19	mosquitoes	mosquito	NOUN
ejpam-6522	24	20	,	,	PUNCT
ejpam-6522	24	21	including	include	VERB
ejpam-6522	24	22	insecticide	insecticide	NOUN
ejpam-6522	24	23	spraying	spraying	NOUN
ejpam-6522	24	24	,	,	PUNCT
ejpam-6522	24	25	sterile	sterile	ADJ
ejpam-6522	24	26	insect	insect	NOUN
ejpam-6522	24	27	techniques	technique	NOUN
ejpam-6522	24	28	,	,	PUNCT
ejpam-6522	24	29	incompatible	incompatible	ADJ
ejpam-6522	24	30	insect	insect	NOUN
ejpam-6522	24	31	techniques	technique	NOUN
ejpam-6522	24	32	,	,	PUNCT
ejpam-6522	24	33	combined	combine	VERB
ejpam-6522	24	34	approaches	approach	NOUN
ejpam-6522	24	35	,	,	PUNCT
ejpam-6522	24	36	and	and	CCONJ
ejpam-6522	24	37	genetic	genetic	ADJ
ejpam-6522	24	38	engineering	engineering	NOUN
ejpam-6522	24	39	[	[	X
ejpam-6522	24	40	3	3	NUM
ejpam-6522	24	41	,	,	PUNCT
ejpam-6522	24	42	4	4	NUM
ejpam-6522	24	43	]	]	PUNCT
ejpam-6522	24	44	.	.	PUNCT
ejpam-6522	25	1	integrated	integrate	VERB
ejpam-6522	25	2	vector	vector	NOUN
ejpam-6522	25	3	management	management	NOUN
ejpam-6522	25	4	is	be	AUX
ejpam-6522	25	5	a	a	DET
ejpam-6522	25	6	promising	promising	ADJ
ejpam-6522	25	7	control	control	NOUN
ejpam-6522	25	8	strategy	strategy	NOUN
ejpam-6522	25	9	currently	currently	ADV
ejpam-6522	25	10	under	under	ADP
ejpam-6522	25	11	investigation	investigation	NOUN
ejpam-6522	25	12	[	[	X
ejpam-6522	25	13	5	5	NUM
ejpam-6522	25	14	]	]	PUNCT
ejpam-6522	25	15	.	.	PUNCT
ejpam-6522	26	1	substituting	substitute	VERB
ejpam-6522	26	2	the	the	DET
ejpam-6522	26	3	aedes	aedes	PROPN
ejpam-6522	26	4	aegypti	aegypti	VERB
ejpam-6522	26	5	mosquito	mosquito	ADJ
ejpam-6522	26	6	population	population	NOUN
ejpam-6522	26	7	with	with	ADP
ejpam-6522	26	8	alternative	alternative	ADJ
ejpam-6522	26	9	vector	vector	NOUN
ejpam-6522	26	10	agents	agent	NOUN
ejpam-6522	26	11	that	that	PRON
ejpam-6522	26	12	can	can	AUX
ejpam-6522	26	13	not	not	PART
ejpam-6522	26	14	transmit	transmit	VERB
ejpam-6522	26	15	viruses	virus	NOUN
ejpam-6522	26	16	,	,	PUNCT
ejpam-6522	26	17	rather	rather	ADV
ejpam-6522	26	18	than	than	ADP
ejpam-6522	26	19	only	only	ADV
ejpam-6522	26	20	preventing	prevent	VERB
ejpam-6522	26	21	human	human	ADJ
ejpam-6522	26	22	-	-	PUNCT
ejpam-6522	26	23	vector	vector	NOUN
ejpam-6522	26	24	interactions	interaction	NOUN
ejpam-6522	26	25	,	,	PUNCT
ejpam-6522	26	26	has	have	AUX
ejpam-6522	26	27	shown	show	VERB
ejpam-6522	26	28	a	a	DET
ejpam-6522	26	29	decrease	decrease	NOUN
ejpam-6522	26	30	in	in	ADP
ejpam-6522	26	31	dengue	dengue	NOUN
ejpam-6522	26	32	distribution	distribution	NOUN
ejpam-6522	26	33	,	,	PUNCT
ejpam-6522	26	34	and	and	CCONJ
ejpam-6522	26	35	this	this	DET
ejpam-6522	26	36	method	method	NOUN
ejpam-6522	26	37	seems	seem	VERB
ejpam-6522	26	38	effective	effective	ADJ
ejpam-6522	26	39	in	in	ADP
ejpam-6522	26	40	managing	manage	VERB
ejpam-6522	26	41	other	other	ADJ
ejpam-6522	26	42	mosquito	mosquito	ADJ
ejpam-6522	26	43	-	-	PUNCT
ejpam-6522	26	44	borne	bear	VERB
ejpam-6522	26	45	diseases	disease	NOUN
ejpam-6522	26	46	like	like	ADP
ejpam-6522	26	47	zika	zika	X
ejpam-6522	26	48	,	,	PUNCT
ejpam-6522	26	49	malaria	malaria	NOUN
ejpam-6522	26	50	,	,	PUNCT
ejpam-6522	26	51	west	west	PROPN
ejpam-6522	26	52	nile	nile	PROPN
ejpam-6522	26	53	virus	virus	PROPN
ejpam-6522	26	54	,	,	PUNCT
ejpam-6522	26	55	and	and	CCONJ
ejpam-6522	26	56	chikungunya	chikungunya	NOUN
ejpam-6522	27	1	[	[	X
ejpam-6522	27	2	6–8	6–8	X
ejpam-6522	27	3	]	]	PUNCT
ejpam-6522	27	4	.	.	PUNCT
ejpam-6522	28	1	wolbachia	wolbachia	PROPN
ejpam-6522	28	2	is	be	AUX
ejpam-6522	28	3	a	a	DET
ejpam-6522	28	4	genus	genus	NOUN
ejpam-6522	28	5	of	of	ADP
ejpam-6522	28	6	bacteria	bacteria	NOUN
ejpam-6522	28	7	that	that	PRON
ejpam-6522	28	8	reduces	reduce	VERB
ejpam-6522	28	9	mosquitoes	mosquito	NOUN
ejpam-6522	28	10	’	'	PUNCT
ejpam-6522	28	11	capacity	capacity	NOUN
ejpam-6522	28	12	for	for	ADP
ejpam-6522	28	13	transmitting	transmit	VERB
ejpam-6522	28	14	viruses	virus	NOUN
ejpam-6522	28	15	[	[	X
ejpam-6522	28	16	9	9	NUM
ejpam-6522	28	17	]	]	PUNCT
ejpam-6522	28	18	.	.	PUNCT
ejpam-6522	29	1	wolbachia	wolbachia	NOUN
ejpam-6522	29	2	-	-	PUNCT
ejpam-6522	29	3	infected	infect	VERB
ejpam-6522	29	4	(	(	PUNCT
ejpam-6522	29	5	wi	wi	PROPN
ejpam-6522	29	6	)	)	PUNCT
ejpam-6522	29	7	mosquitoes	mosquito	NOUN
ejpam-6522	29	8	have	have	VERB
ejpam-6522	29	9	less	less	ADJ
ejpam-6522	29	10	ability	ability	NOUN
ejpam-6522	29	11	to	to	PART
ejpam-6522	29	12	transmit	transmit	VERB
ejpam-6522	29	13	diseases	disease	NOUN
ejpam-6522	29	14	compared	compare	VERB
ejpam-6522	29	15	to	to	ADP
ejpam-6522	29	16	wolbachia	wolbachia	VERB
ejpam-6522	29	17	-	-	PUNCT
ejpam-6522	29	18	uninfected	uninfected	ADJ
ejpam-6522	29	19	(	(	PUNCT
ejpam-6522	29	20	wu	wu	PROPN
ejpam-6522	29	21	)	)	PUNCT
ejpam-6522	29	22	mosquitoes	mosquito	NOUN
ejpam-6522	29	23	.	.	PUNCT
ejpam-6522	30	1	moreover	moreover	ADV
ejpam-6522	30	2	,	,	PUNCT
ejpam-6522	30	3	wolbachia	wolbachia	NOUN
ejpam-6522	30	4	infection	infection	NOUN
ejpam-6522	30	5	frequently	frequently	ADV
ejpam-6522	30	6	causes	cause	VERB
ejpam-6522	30	7	cytoplasmic	cytoplasmic	ADJ
ejpam-6522	30	8	incompatibility	incompatibility	NOUN
ejpam-6522	30	9	,	,	PUNCT
ejpam-6522	30	10	resulting	result	VERB
ejpam-6522	30	11	in	in	ADP
ejpam-6522	30	12	premature	premature	ADJ
ejpam-6522	30	13	embryonic	embryonic	ADJ
ejpam-6522	30	14	mortality	mortality	NOUN
ejpam-6522	30	15	when	when	SCONJ
ejpam-6522	30	16	infected	infected	ADJ
ejpam-6522	30	17	males	male	NOUN
ejpam-6522	30	18	mate	mate	VERB
ejpam-6522	30	19	with	with	ADP
ejpam-6522	30	20	uninfected	uninfected	ADJ
ejpam-6522	30	21	females	female	NOUN
ejpam-6522	30	22	.	.	PUNCT
ejpam-6522	31	1	when	when	SCONJ
ejpam-6522	31	2	a	a	DET
ejpam-6522	31	3	wolbachia	wolbachia	NOUN
ejpam-6522	31	4	-	-	PUNCT
ejpam-6522	31	5	infected	infect	VERB
ejpam-6522	31	6	mosquito	mosquito	PROPN
ejpam-6522	31	7	bites	bite	NOUN
ejpam-6522	31	8	a	a	DET
ejpam-6522	31	9	virus	virus	NOUN
ejpam-6522	31	10	-	-	PUNCT
ejpam-6522	31	11	infected	infect	VERB
ejpam-6522	31	12	human	human	NOUN
ejpam-6522	31	13	,	,	PUNCT
ejpam-6522	31	14	it	it	PRON
ejpam-6522	31	15	may	may	AUX
ejpam-6522	31	16	become	become	VERB
ejpam-6522	31	17	infectious	infectious	ADJ
ejpam-6522	31	18	,	,	PUNCT
ejpam-6522	31	19	but	but	CCONJ
ejpam-6522	31	20	it	it	PRON
ejpam-6522	31	21	is	be	AUX
ejpam-6522	31	22	unable	unable	ADJ
ejpam-6522	31	23	to	to	PART
ejpam-6522	31	24	transmit	transmit	VERB
ejpam-6522	31	25	the	the	DET
ejpam-6522	31	26	virus	virus	NOUN
ejpam-6522	31	27	to	to	ADP
ejpam-6522	31	28	an	an	DET
ejpam-6522	31	29	uninfected	uninfected	ADJ
ejpam-6522	31	30	human	human	NOUN
ejpam-6522	31	31	.	.	PUNCT
ejpam-6522	32	1	the	the	DET
ejpam-6522	32	2	wolbachia	wolbachia	NOUN
ejpam-6522	32	3	method	method	NOUN
ejpam-6522	32	4	would	would	AUX
ejpam-6522	32	5	significantly	significantly	ADV
ejpam-6522	32	6	diminish	diminish	VERB
ejpam-6522	32	7	the	the	DET
ejpam-6522	32	8	mosquito	mosquito	ADJ
ejpam-6522	32	9	population	population	NOUN
ejpam-6522	32	10	density	density	NOUN
ejpam-6522	32	11	and	and	CCONJ
ejpam-6522	32	12	facilitate	facilitate	VERB
ejpam-6522	32	13	the	the	DET
ejpam-6522	32	14	elimination	elimination	NOUN
ejpam-6522	32	15	of	of	ADP
ejpam-6522	32	16	mosquito	mosquito	ADJ
ejpam-6522	32	17	-	-	PUNCT
ejpam-6522	32	18	borne	bear	VERB
ejpam-6522	32	19	diseases	disease	NOUN
ejpam-6522	32	20	[	[	X
ejpam-6522	32	21	10	10	NUM
ejpam-6522	32	22	,	,	PUNCT
ejpam-6522	32	23	11	11	NUM
ejpam-6522	32	24	]	]	PUNCT
ejpam-6522	32	25	.	.	PUNCT
ejpam-6522	33	1	on	on	ADP
ejpam-6522	33	2	the	the	DET
ejpam-6522	33	3	other	other	ADJ
ejpam-6522	33	4	hand	hand	NOUN
ejpam-6522	33	5	,	,	PUNCT
ejpam-6522	33	6	imperfect	imperfect	ADJ
ejpam-6522	33	7	maternal	maternal	ADJ
ejpam-6522	33	8	transmission	transmission	NOUN
ejpam-6522	33	9	can	can	AUX
ejpam-6522	33	10	also	also	ADV
ejpam-6522	33	11	prevent	prevent	VERB
ejpam-6522	33	12	wi	wi	PROPN
ejpam-6522	33	13	mosquitoes	mosquito	NOUN
ejpam-6522	33	14	from	from	ADP
ejpam-6522	33	15	effectively	effectively	ADV
ejpam-6522	33	16	controlling	control	VERB
ejpam-6522	33	17	disease	disease	NOUN
ejpam-6522	33	18	transmission	transmission	NOUN
ejpam-6522	33	19	[	[	X
ejpam-6522	33	20	12–14	12–14	NUM
ejpam-6522	33	21	]	]	X
ejpam-6522	33	22	.	.	PUNCT
ejpam-6522	34	1	to	to	PART
ejpam-6522	34	2	implement	implement	VERB
ejpam-6522	34	3	the	the	DET
ejpam-6522	34	4	method	method	NOUN
ejpam-6522	34	5	extensively	extensively	ADV
ejpam-6522	34	6	,	,	PUNCT
ejpam-6522	34	7	comprehensive	comprehensive	ADJ
ejpam-6522	34	8	details	detail	NOUN
ejpam-6522	34	9	about	about	ADP
ejpam-6522	34	10	introducing	introduce	VERB
ejpam-6522	34	11	wolbachia	wolbachia	NOUN
ejpam-6522	34	12	into	into	ADP
ejpam-6522	34	13	wild	wild	ADJ
ejpam-6522	34	14	mosquitoes	mosquito	NOUN
ejpam-6522	34	15	are	be	AUX
ejpam-6522	34	16	required	require	VERB
ejpam-6522	34	17	.	.	PUNCT
ejpam-6522	35	1	the	the	DET
ejpam-6522	35	2	application	application	NOUN
ejpam-6522	35	3	of	of	ADP
ejpam-6522	35	4	mathematical	mathematical	ADJ
ejpam-6522	35	5	modeling	modeling	NOUN
ejpam-6522	35	6	in	in	ADP
ejpam-6522	35	7	the	the	DET
ejpam-6522	35	8	decision	decision	NOUN
ejpam-6522	35	9	-	-	PUNCT
ejpam-6522	35	10	making	make	VERB
ejpam-6522	35	11	process	process	NOUN
ejpam-6522	35	12	has	have	AUX
ejpam-6522	35	13	facilitated	facilitate	VERB
ejpam-6522	35	14	the	the	DET
ejpam-6522	35	15	use	use	NOUN
ejpam-6522	35	16	of	of	ADP
ejpam-6522	35	17	numerous	numerous	ADJ
ejpam-6522	35	18	widely	widely	ADV
ejpam-6522	35	19	recognized	recognize	VERB
ejpam-6522	35	20	control	control	NOUN
ejpam-6522	35	21	policies	policy	NOUN
ejpam-6522	35	22	.	.	PUNCT
ejpam-6522	36	1	it	it	PRON
ejpam-6522	36	2	plays	play	VERB
ejpam-6522	36	3	an	an	DET
ejpam-6522	36	4	important	important	ADJ
ejpam-6522	36	5	role	role	NOUN
ejpam-6522	36	6	in	in	ADP
ejpam-6522	36	7	assessing	assess	VERB
ejpam-6522	36	8	the	the	DET
ejpam-6522	36	9	impacts	impact	NOUN
ejpam-6522	36	10	of	of	ADP
ejpam-6522	36	11	various	various	ADJ
ejpam-6522	36	12	factors	factor	NOUN
ejpam-6522	36	13	on	on	ADP
ejpam-6522	36	14	the	the	DET
ejpam-6522	36	15	dynamics	dynamic	NOUN
ejpam-6522	36	16	of	of	ADP
ejpam-6522	36	17	infectious	infectious	ADJ
ejpam-6522	36	18	diseases	disease	NOUN
ejpam-6522	36	19	.	.	PUNCT
ejpam-6522	37	1	several	several	ADJ
ejpam-6522	37	2	mathematical	mathematical	ADJ
ejpam-6522	37	3	models	model	NOUN
ejpam-6522	37	4	have	have	AUX
ejpam-6522	37	5	been	be	AUX
ejpam-6522	37	6	established	establish	VERB
ejpam-6522	37	7	on	on	ADP
ejpam-6522	37	8	the	the	DET
ejpam-6522	37	9	introduction	introduction	NOUN
ejpam-6522	37	10	of	of	ADP
ejpam-6522	37	11	wolbachia	wolbachia	NOUN
ejpam-6522	37	12	in	in	ADP
ejpam-6522	37	13	mosquitoes	mosquito	NOUN
ejpam-6522	37	14	,	,	PUNCT
ejpam-6522	37	15	each	each	PRON
ejpam-6522	37	16	illustrating	illustrate	VERB
ejpam-6522	37	17	the	the	DET
ejpam-6522	37	18	conditions	condition	NOUN
ejpam-6522	37	19	that	that	PRON
ejpam-6522	37	20	facilitate	facilitate	VERB
ejpam-6522	37	21	the	the	DET
ejpam-6522	37	22	rapid	rapid	ADJ
ejpam-6522	37	23	expansion	expansion	NOUN
ejpam-6522	37	24	of	of	ADP
ejpam-6522	37	25	wi	wi	PROPN
ejpam-6522	37	26	mosquitoes	mosquitoe	VERB
ejpam-6522	38	1	[	[	X
ejpam-6522	38	2	15–21	15–21	NUM
ejpam-6522	38	3	]	]	X
ejpam-6522	38	4	.	.	PUNCT
ejpam-6522	39	1	additionally	additionally	ADV
ejpam-6522	39	2	,	,	PUNCT
ejpam-6522	39	3	fractional	fractional	ADJ
ejpam-6522	39	4	calculus	calculus	NOUN
ejpam-6522	39	5	(	(	PUNCT
ejpam-6522	39	6	fc	fc	INTJ
ejpam-6522	39	7	)	)	PUNCT
ejpam-6522	39	8	is	be	AUX
ejpam-6522	39	9	an	an	DET
ejpam-6522	39	10	emerging	emerge	VERB
ejpam-6522	39	11	field	field	NOUN
ejpam-6522	39	12	of	of	ADP
ejpam-6522	39	13	mathematical	mathematical	ADJ
ejpam-6522	39	14	analysis	analysis	NOUN
ejpam-6522	39	15	that	that	PRON
ejpam-6522	39	16	is	be	AUX
ejpam-6522	39	17	developing	develop	VERB
ejpam-6522	39	18	rapidly	rapidly	ADV
ejpam-6522	39	19	.	.	PUNCT
ejpam-6522	40	1	numerous	numerous	ADJ
ejpam-6522	40	2	scientists	scientist	NOUN
ejpam-6522	40	3	have	have	AUX
ejpam-6522	40	4	established	establish	VERB
ejpam-6522	40	5	several	several	ADJ
ejpam-6522	40	6	models	model	NOUN
ejpam-6522	40	7	of	of	ADP
ejpam-6522	40	8	real	real	ADJ
ejpam-6522	40	9	processes	process	NOUN
ejpam-6522	40	10	using	use	VERB
ejpam-6522	40	11	fc	fc	PROPN
ejpam-6522	40	12	.	.	PUNCT
ejpam-6522	41	1	a	a	DET
ejpam-6522	41	2	realistic	realistic	ADJ
ejpam-6522	41	3	representation	representation	NOUN
ejpam-6522	41	4	of	of	ADP
ejpam-6522	41	5	a	a	DET
ejpam-6522	41	6	physical	physical	ADJ
ejpam-6522	41	7	phenomenon	phenomenon	NOUN
ejpam-6522	41	8	requires	require	VERB
ejpam-6522	41	9	not	not	PART
ejpam-6522	41	10	just	just	ADV
ejpam-6522	41	11	the	the	DET
ejpam-6522	41	12	current	current	ADJ
ejpam-6522	41	13	time	time	NOUN
ejpam-6522	41	14	but	but	CCONJ
ejpam-6522	41	15	also	also	ADV
ejpam-6522	41	16	the	the	DET
ejpam-6522	41	17	history	history	NOUN
ejpam-6522	41	18	of	of	ADP
ejpam-6522	41	19	the	the	DET
ejpam-6522	41	20	preceding	precede	VERB
ejpam-6522	41	21	time	time	NOUN
ejpam-6522	41	22	,	,	PUNCT
ejpam-6522	41	23	which	which	PRON
ejpam-6522	41	24	fc	fc	PROPN
ejpam-6522	41	25	can	can	AUX
ejpam-6522	41	26	provide	provide	VERB
ejpam-6522	41	27	[	[	NOUN
ejpam-6522	41	28	22	22	NUM
ejpam-6522	41	29	,	,	PUNCT
ejpam-6522	41	30	23	23	NUM
ejpam-6522	41	31	]	]	PUNCT
ejpam-6522	41	32	.	.	PUNCT
ejpam-6522	42	1	in	in	ADP
ejpam-6522	42	2	other	other	ADJ
ejpam-6522	42	3	words	word	NOUN
ejpam-6522	42	4	,	,	PUNCT
ejpam-6522	42	5	fractional	fractional	ADJ
ejpam-6522	42	6	derivative	derivative	ADJ
ejpam-6522	42	7	definitions	definition	NOUN
ejpam-6522	42	8	naturally	naturally	ADV
ejpam-6522	42	9	allow	allow	VERB
ejpam-6522	42	10	for	for	ADP
ejpam-6522	42	11	the	the	DET
ejpam-6522	42	12	incorporation	incorporation	NOUN
ejpam-6522	42	13	of	of	ADP
ejpam-6522	42	14	memory	memory	NOUN
ejpam-6522	42	15	and	and	CCONJ
ejpam-6522	42	16	hereditary	hereditary	ADJ
ejpam-6522	42	17	characteristics	characteristic	NOUN
ejpam-6522	42	18	in	in	ADP
ejpam-6522	42	19	the	the	DET
ejpam-6522	42	20	modeling	modeling	NOUN
ejpam-6522	42	21	of	of	ADP
ejpam-6522	42	22	diverse	diverse	ADJ
ejpam-6522	42	23	materials	material	NOUN
ejpam-6522	42	24	and	and	CCONJ
ejpam-6522	42	25	processes	process	NOUN
ejpam-6522	42	26	[	[	X
ejpam-6522	42	27	24	24	NUM
ejpam-6522	42	28	]	]	PUNCT
ejpam-6522	42	29	.	.	PUNCT
ejpam-6522	43	1	several	several	ADJ
ejpam-6522	43	2	models	model	NOUN
ejpam-6522	43	3	of	of	ADP
ejpam-6522	43	4	infectious	infectious	ADJ
ejpam-6522	43	5	diseases	disease	NOUN
ejpam-6522	43	6	based	base	VERB
ejpam-6522	43	7	on	on	ADP
ejpam-6522	43	8	fc	fc	PROPN
ejpam-6522	43	9	have	have	AUX
ejpam-6522	43	10	already	already	ADV
ejpam-6522	43	11	been	be	AUX
ejpam-6522	43	12	discussed	discuss	VERB
ejpam-6522	43	13	in	in	ADP
ejpam-6522	43	14	the	the	DET
ejpam-6522	43	15	literature	literature	NOUN
ejpam-6522	43	16	[	[	X
ejpam-6522	43	17	25–28	25–28	NUM
ejpam-6522	43	18	]	]	PUNCT
ejpam-6522	43	19	.	.	PUNCT
ejpam-6522	44	1	recently	recently	ADV
ejpam-6522	44	2	,	,	PUNCT
ejpam-6522	44	3	researchers	researcher	NOUN
ejpam-6522	44	4	have	have	AUX
ejpam-6522	44	5	developed	develop	VERB
ejpam-6522	44	6	mathematical	mathematical	ADJ
ejpam-6522	44	7	models	model	NOUN
ejpam-6522	44	8	to	to	PART
ejpam-6522	44	9	investigate	investigate	VERB
ejpam-6522	44	10	the	the	DET
ejpam-6522	44	11	key	key	ADJ
ejpam-6522	44	12	factors	factor	NOUN
ejpam-6522	44	13	that	that	PRON
ejpam-6522	44	14	influence	influence	NOUN
ejpam-6522	44	15	wolbachia	wolbachia	PROPN
ejpam-6522	44	16	’s	’s	PART
ejpam-6522	44	17	effectiveness	effectiveness	NOUN
ejpam-6522	44	18	in	in	ADP
ejpam-6522	44	19	managing	manage	VERB
ejpam-6522	44	20	viral	viral	ADJ
ejpam-6522	44	21	infections	infection	NOUN
ejpam-6522	44	22	.	.	PUNCT
ejpam-6522	45	1	wan	wan	PROPN
ejpam-6522	45	2	and	and	CCONJ
ejpam-6522	45	3	xu	xu	PROPN
ejpam-6522	46	1	[	[	X
ejpam-6522	46	2	29	29	NUM
ejpam-6522	46	3	]	]	PUNCT
ejpam-6522	46	4	created	create	VERB
ejpam-6522	46	5	a	a	DET
ejpam-6522	46	6	mathematical	mathematical	ADJ
ejpam-6522	46	7	model	model	NOUN
ejpam-6522	46	8	using	use	VERB
ejpam-6522	46	9	optimal	optimal	ADJ
ejpam-6522	46	10	control	control	NOUN
ejpam-6522	46	11	theory	theory	NOUN
ejpam-6522	46	12	to	to	PART
ejpam-6522	46	13	understand	understand	VERB
ejpam-6522	46	14	how	how	SCONJ
ejpam-6522	46	15	wolbachia	wolbachia	NOUN
ejpam-6522	46	16	infections	infection	NOUN
ejpam-6522	46	17	and	and	CCONJ
ejpam-6522	46	18	dengue	dengue	NOUN
ejpam-6522	46	19	spread	spread	VERB
ejpam-6522	46	20	work	work	NOUN
ejpam-6522	46	21	together	together	ADV
ejpam-6522	46	22	,	,	PUNCT
ejpam-6522	46	23	aiming	aim	VERB
ejpam-6522	46	24	to	to	PART
ejpam-6522	46	25	find	find	VERB
ejpam-6522	46	26	the	the	DET
ejpam-6522	46	27	best	good	ADJ
ejpam-6522	46	28	ways	way	NOUN
ejpam-6522	46	29	to	to	PART
ejpam-6522	46	30	release	release	VERB
ejpam-6522	46	31	young	young	ADJ
ejpam-6522	46	32	mosquitoes	mosquito	NOUN
ejpam-6522	46	33	that	that	PRON
ejpam-6522	46	34	die	die	VERB
ejpam-6522	46	35	quickly	quickly	ADV
ejpam-6522	46	36	.	.	PUNCT
ejpam-6522	47	1	they	they	PRON
ejpam-6522	47	2	found	find	VERB
ejpam-6522	47	3	that	that	SCONJ
ejpam-6522	47	4	increasing	increase	VERB
ejpam-6522	47	5	larval	larval	NOUN
ejpam-6522	47	6	mortality	mortality	NOUN
ejpam-6522	47	7	prevented	prevent	VERB
ejpam-6522	47	8	wolbachia	wolbachia	NOUN
ejpam-6522	47	9	establishment	establishment	NOUN
ejpam-6522	47	10	and	and	CCONJ
ejpam-6522	47	11	dengue	dengue	NOUN
ejpam-6522	47	12	treatments	treatment	NOUN
ejpam-6522	47	13	efficiency	efficiency	NOUN
ejpam-6522	47	14	.	.	PUNCT
ejpam-6522	48	1	dianavinnarasi	dianavinnarasi	PROPN
ejpam-6522	48	2	et	et	PROPN
ejpam-6522	48	3	al	al	PROPN
ejpam-6522	48	4	.	.	PUNCT
ejpam-6522	49	1	[	[	X
ejpam-6522	49	2	30	30	NUM
ejpam-6522	49	3	]	]	PUNCT
ejpam-6522	49	4	formulated	formulate	VERB
ejpam-6522	49	5	a	a	DET
ejpam-6522	49	6	fractional	fractional	ADJ
ejpam-6522	49	7	-	-	PUNCT
ejpam-6522	49	8	order	order	NOUN
ejpam-6522	49	9	wolbachia	wolbachia	NOUN
ejpam-6522	49	10	invasion	invasion	NOUN
ejpam-6522	49	11	model	model	NOUN
ejpam-6522	49	12	,	,	PUNCT
ejpam-6522	49	13	utilising	utilise	VERB
ejpam-6522	49	14	impulsive	impulsive	ADJ
ejpam-6522	49	15	control	control	NOUN
ejpam-6522	49	16	approaches	approach	NOUN
ejpam-6522	49	17	to	to	PART
ejpam-6522	49	18	maintain	maintain	VERB
ejpam-6522	49	19	infection	infection	NOUN
ejpam-6522	49	20	in	in	ADP
ejpam-6522	49	21	aedes	aedes	PROPN
ejpam-6522	49	22	aegypti	aegypti	VERB
ejpam-6522	49	23	mosquitoes	mosquito	NOUN
ejpam-6522	49	24	.	.	PUNCT
ejpam-6522	50	1	the	the	DET
ejpam-6522	50	2	results	result	NOUN
ejpam-6522	50	3	showed	show	VERB
ejpam-6522	50	4	that	that	SCONJ
ejpam-6522	50	5	quick	quick	ADJ
ejpam-6522	50	6	releases	release	NOUN
ejpam-6522	50	7	of	of	ADP
ejpam-6522	50	8	wolbachia	wolbachia	NOUN
ejpam-6522	50	9	can	can	AUX
ejpam-6522	50	10	lower	lower	VERB
ejpam-6522	50	11	the	the	DET
ejpam-6522	50	12	number	number	NOUN
ejpam-6522	50	13	of	of	ADP
ejpam-6522	50	14	local	local	ADJ
ejpam-6522	50	15	mosquitoes	mosquito	NOUN
ejpam-6522	50	16	while	while	SCONJ
ejpam-6522	50	17	keeping	keep	VERB
ejpam-6522	50	18	the	the	DET
ejpam-6522	50	19	infected	infected	ADJ
ejpam-6522	50	20	ones	one	NOUN
ejpam-6522	50	21	alive	alive	ADJ
ejpam-6522	50	22	.	.	PUNCT
ejpam-6522	51	1	a	a	DET
ejpam-6522	51	2	fractional	fractional	ADJ
ejpam-6522	51	3	-	-	PUNCT
ejpam-6522	51	4	order	order	NOUN
ejpam-6522	51	5	dengue	dengue	NOUN
ejpam-6522	51	6	transmission	transmission	NOUN
ejpam-6522	51	7	model	model	NOUN
ejpam-6522	51	8	by	by	ADP
ejpam-6522	51	9	vijayalakshmi	vijayalakshmi	NOUN
ejpam-6522	51	10	and	and	CCONJ
ejpam-6522	51	11	ariyanatchi	ariyanatchi	NOUN
ejpam-6522	51	12	[	[	X
ejpam-6522	51	13	31	31	NUM
ejpam-6522	51	14	]	]	PUNCT
ejpam-6522	51	15	looked	look	VERB
ejpam-6522	51	16	at	at	ADP
ejpam-6522	51	17	how	how	SCONJ
ejpam-6522	51	18	both	both	PRON
ejpam-6522	51	19	wolbachia	wolbachia	NOUN
ejpam-6522	51	20	-	-	PUNCT
ejpam-6522	51	21	infected	infected	ADJ
ejpam-6522	51	22	and	and	CCONJ
ejpam-6522	51	23	uninfected	uninfected	ADJ
ejpam-6522	51	24	mosquitoes	mosquito	NOUN
ejpam-6522	51	25	behave	behave	VERB
ejpam-6522	51	26	.	.	PUNCT
ejpam-6522	52	1	they	they	PRON
ejpam-6522	52	2	found	find	VERB
ejpam-6522	52	3	that	that	SCONJ
ejpam-6522	52	4	wolbachia	wolbachia	NOUN
ejpam-6522	52	5	reduces	reduce	VERB
ejpam-6522	52	6	dengue	dengue	NOUN
ejpam-6522	52	7	transmission	transmission	NOUN
ejpam-6522	52	8	and	and	CCONJ
ejpam-6522	52	9	improves	improve	VERB
ejpam-6522	52	10	mosquito	mosquito	ADJ
ejpam-6522	52	11	control	control	NOUN
ejpam-6522	52	12	.	.	PUNCT
ejpam-6522	53	1	dianavinnarasi	dianavinnarasi	PROPN
ejpam-6522	53	2	et	et	PROPN
ejpam-6522	53	3	al	al	PROPN
ejpam-6522	53	4	.	.	PUNCT
ejpam-6522	54	1	[	[	X
ejpam-6522	54	2	32	32	NUM
ejpam-6522	54	3	]	]	PUNCT
ejpam-6522	54	4	used	use	VERB
ejpam-6522	54	5	a	a	DET
ejpam-6522	54	6	fractional	fractional	ADJ
ejpam-6522	54	7	-	-	PUNCT
ejpam-6522	54	8	order	order	NOUN
ejpam-6522	54	9	mathematical	mathematical	ADJ
ejpam-6522	54	10	model	model	NOUN
ejpam-6522	54	11	to	to	PART
ejpam-6522	54	12	study	study	VERB
ejpam-6522	54	13	how	how	SCONJ
ejpam-6522	54	14	different	different	ADJ
ejpam-6522	54	15	wolbachia	wolbachia	NOUN
ejpam-6522	54	16	strains	strain	NOUN
ejpam-6522	54	17	spread	spread	VERB
ejpam-6522	54	18	in	in	ADP
ejpam-6522	54	19	aedes	aedes	PROPN
ejpam-6522	54	20	aegypti	aegypti	VERB
ejpam-6522	54	21	mosquitoes	mosquito	NOUN
ejpam-6522	54	22	,	,	PUNCT
ejpam-6522	54	23	with	with	ADP
ejpam-6522	54	24	the	the	DET
ejpam-6522	54	25	goal	goal	NOUN
ejpam-6522	54	26	of	of	ADP
ejpam-6522	54	27	finding	find	VERB
ejpam-6522	54	28	the	the	DET
ejpam-6522	54	29	best	good	ADJ
ejpam-6522	54	30	strain	strain	NOUN
ejpam-6522	54	31	for	for	ADP
ejpam-6522	54	32	long	long	ADJ
ejpam-6522	54	33	-	-	PUNCT
ejpam-6522	54	34	term	term	NOUN
ejpam-6522	54	35	use	use	NOUN
ejpam-6522	54	36	.	.	PUNCT
ejpam-6522	55	1	they	they	PRON
ejpam-6522	55	2	demonstrated	demonstrate	VERB
ejpam-6522	55	3	that	that	SCONJ
ejpam-6522	55	4	wolbachia	wolbachia	NOUN
ejpam-6522	55	5	is	be	AUX
ejpam-6522	55	6	an	an	DET
ejpam-6522	55	7	efficacious	efficacious	ADJ
ejpam-6522	55	8	approach	approach	NOUN
ejpam-6522	55	9	for	for	ADP
ejpam-6522	55	10	managing	manage	VERB
ejpam-6522	55	11	mosquito	mosquito	NOUN
ejpam-6522	55	12	-	-	PUNCT
ejpam-6522	55	13	borne	bear	VERB
ejpam-6522	55	14	illm	illm	NOUN
ejpam-6522	55	15	.	.	PUNCT
ejpam-6522	56	1	yar	yar	PROPN
ejpam-6522	56	2	,	,	PUNCT
ejpam-6522	56	3	s.	s.	PROPN
ejpam-6522	56	4	javeed	javeed	PROPN
ejpam-6522	56	5	,	,	PUNCT
ejpam-6522	56	6	t.	t.	PROPN
ejpam-6522	56	7	abbas	abbas	PROPN
ejpam-6522	56	8	khan	khan	PROPN
ejpam-6522	56	9	/	/	SYM
ejpam-6522	56	10	eur	eur	PROPN
ejpam-6522	56	11	.	.	PUNCT
ejpam-6522	57	1	j.	j.	PROPN
ejpam-6522	57	2	pure	pure	PROPN
ejpam-6522	57	3	appl	appl	PROPN
ejpam-6522	57	4	.	.	PROPN
ejpam-6522	57	5	math	math	PROPN
ejpam-6522	57	6	,	,	PUNCT
ejpam-6522	57	7	18	18	NUM
ejpam-6522	57	8	(	(	PUNCT
ejpam-6522	57	9	3	3	NUM
ejpam-6522	57	10	)	)	PUNCT
ejpam-6522	57	11	(	(	PUNCT
ejpam-6522	57	12	2025	2025	NUM
ejpam-6522	57	13	)	)	PUNCT
ejpam-6522	57	14	,	,	PUNCT
ejpam-6522	57	15	6522	6522	NUM
ejpam-6522	57	16	3	3	NUM
ejpam-6522	57	17	of	of	ADP
ejpam-6522	57	18	23	23	NUM
ejpam-6522	57	19	nesses	ness	NOUN
ejpam-6522	57	20	.	.	PUNCT
ejpam-6522	58	1	ufuktepe	ufuktepe	NOUN
ejpam-6522	58	2	[	[	X
ejpam-6522	58	3	33	33	NUM
ejpam-6522	58	4	]	]	PUNCT
ejpam-6522	58	5	created	create	VERB
ejpam-6522	58	6	a	a	DET
ejpam-6522	58	7	system	system	NOUN
ejpam-6522	58	8	that	that	PRON
ejpam-6522	58	9	looks	look	VERB
ejpam-6522	58	10	at	at	ADP
ejpam-6522	58	11	how	how	SCONJ
ejpam-6522	58	12	wolbachia	wolbachia	NOUN
ejpam-6522	58	13	spreads	spread	VERB
ejpam-6522	58	14	in	in	ADP
ejpam-6522	58	15	mosquito	mosquito	ADJ
ejpam-6522	58	16	groups	group	NOUN
ejpam-6522	58	17	over	over	ADP
ejpam-6522	58	18	time	time	NOUN
ejpam-6522	58	19	,	,	PUNCT
ejpam-6522	58	20	considering	consider	VERB
ejpam-6522	58	21	how	how	SCONJ
ejpam-6522	58	22	the	the	DET
ejpam-6522	58	23	presence	presence	NOUN
ejpam-6522	58	24	of	of	ADP
ejpam-6522	58	25	fewer	few	ADJ
ejpam-6522	58	26	wild	wild	ADJ
ejpam-6522	58	27	insects	insect	NOUN
ejpam-6522	58	28	can	can	AUX
ejpam-6522	58	29	affect	affect	VERB
ejpam-6522	58	30	this	this	DET
ejpam-6522	58	31	spread	spread	NOUN
ejpam-6522	58	32	.	.	PUNCT
ejpam-6522	59	1	they	they	PRON
ejpam-6522	59	2	examined	examine	VERB
ejpam-6522	59	3	the	the	DET
ejpam-6522	59	4	rivalry	rivalry	NOUN
ejpam-6522	59	5	between	between	ADP
ejpam-6522	59	6	released	release	VERB
ejpam-6522	59	7	mosquitoes	mosquito	NOUN
ejpam-6522	59	8	and	and	CCONJ
ejpam-6522	59	9	indigenous	indigenous	ADJ
ejpam-6522	59	10	mosquitoes	mosquito	NOUN
ejpam-6522	59	11	.	.	PUNCT
ejpam-6522	60	1	the	the	DET
ejpam-6522	60	2	investigation	investigation	NOUN
ejpam-6522	60	3	revealed	reveal	VERB
ejpam-6522	60	4	that	that	SCONJ
ejpam-6522	60	5	wolbachia	wolbachia	NOUN
ejpam-6522	60	6	-	-	PUNCT
ejpam-6522	60	7	infected	infect	VERB
ejpam-6522	60	8	mosquitoes	mosquito	NOUN
ejpam-6522	60	9	can	can	AUX
ejpam-6522	60	10	surpass	surpass	VERB
ejpam-6522	60	11	native	native	ADJ
ejpam-6522	60	12	populations	population	NOUN
ejpam-6522	60	13	under	under	ADP
ejpam-6522	60	14	certain	certain	ADJ
ejpam-6522	60	15	conditions	condition	NOUN
ejpam-6522	60	16	,	,	PUNCT
ejpam-6522	60	17	resulting	result	VERB
ejpam-6522	60	18	in	in	ADP
ejpam-6522	60	19	possible	possible	ADJ
ejpam-6522	60	20	mosquito	mosquito	ADJ
ejpam-6522	60	21	control	control	NOUN
ejpam-6522	60	22	.	.	PUNCT
ejpam-6522	61	1	additionally	additionally	ADV
ejpam-6522	61	2	,	,	PUNCT
ejpam-6522	61	3	it	it	PRON
ejpam-6522	61	4	is	be	AUX
ejpam-6522	61	5	expected	expect	VERB
ejpam-6522	61	6	that	that	SCONJ
ejpam-6522	61	7	climate	climate	NOUN
ejpam-6522	61	8	change	change	NOUN
ejpam-6522	61	9	will	will	AUX
ejpam-6522	61	10	alter	alter	VERB
ejpam-6522	61	11	the	the	DET
ejpam-6522	61	12	distribution	distribution	NOUN
ejpam-6522	61	13	and	and	CCONJ
ejpam-6522	61	14	seasonal	seasonal	ADJ
ejpam-6522	61	15	behaviors	behavior	NOUN
ejpam-6522	61	16	of	of	ADP
ejpam-6522	61	17	mosquitoes	mosquito	NOUN
ejpam-6522	61	18	,	,	PUNCT
ejpam-6522	61	19	significantly	significantly	ADV
ejpam-6522	61	20	affecting	affect	VERB
ejpam-6522	61	21	the	the	DET
ejpam-6522	61	22	persistence	persistence	NOUN
ejpam-6522	61	23	and	and	CCONJ
ejpam-6522	61	24	seasonality	seasonality	NOUN
ejpam-6522	61	25	of	of	ADP
ejpam-6522	61	26	vector	vector	NOUN
ejpam-6522	61	27	-	-	PUNCT
ejpam-6522	61	28	borne	bear	VERB
ejpam-6522	61	29	diseases	disease	NOUN
ejpam-6522	61	30	[	[	X
ejpam-6522	61	31	34	34	NUM
ejpam-6522	61	32	]	]	PUNCT
ejpam-6522	61	33	.	.	PUNCT
ejpam-6522	62	1	this	this	PRON
ejpam-6522	62	2	is	be	AUX
ejpam-6522	62	3	expected	expect	VERB
ejpam-6522	62	4	to	to	PART
ejpam-6522	62	5	become	become	VERB
ejpam-6522	62	6	increasingly	increasingly	ADV
ejpam-6522	62	7	important	important	ADJ
ejpam-6522	62	8	in	in	ADP
ejpam-6522	62	9	the	the	DET
ejpam-6522	62	10	coming	come	VERB
ejpam-6522	62	11	years	year	NOUN
ejpam-6522	62	12	as	as	SCONJ
ejpam-6522	62	13	environmental	environmental	ADJ
ejpam-6522	62	14	conditions	condition	NOUN
ejpam-6522	62	15	are	be	AUX
ejpam-6522	62	16	anticipated	anticipate	VERB
ejpam-6522	62	17	to	to	PART
ejpam-6522	62	18	become	become	VERB
ejpam-6522	62	19	more	more	ADV
ejpam-6522	62	20	variable	variable	ADJ
ejpam-6522	62	21	.	.	PUNCT
ejpam-6522	63	1	the	the	DET
ejpam-6522	63	2	novelty	novelty	NOUN
ejpam-6522	63	3	of	of	ADP
ejpam-6522	63	4	this	this	DET
ejpam-6522	63	5	study	study	NOUN
ejpam-6522	63	6	is	be	AUX
ejpam-6522	63	7	in	in	ADP
ejpam-6522	63	8	the	the	DET
ejpam-6522	63	9	use	use	NOUN
ejpam-6522	63	10	of	of	ADP
ejpam-6522	63	11	a	a	DET
ejpam-6522	63	12	fractional	fractional	ADJ
ejpam-6522	63	13	-	-	PUNCT
ejpam-6522	63	14	order	order	NOUN
ejpam-6522	63	15	mathematical	mathematical	ADJ
ejpam-6522	63	16	model	model	NOUN
ejpam-6522	63	17	to	to	PART
ejpam-6522	63	18	investigate	investigate	VERB
ejpam-6522	63	19	the	the	DET
ejpam-6522	63	20	dynamics	dynamic	NOUN
ejpam-6522	63	21	of	of	ADP
ejpam-6522	63	22	wolbachia	wolbachia	NOUN
ejpam-6522	63	23	invasion	invasion	NOUN
ejpam-6522	63	24	and	and	CCONJ
ejpam-6522	63	25	the	the	DET
ejpam-6522	63	26	effects	effect	NOUN
ejpam-6522	63	27	of	of	ADP
ejpam-6522	63	28	changes	change	NOUN
ejpam-6522	63	29	in	in	ADP
ejpam-6522	63	30	the	the	DET
ejpam-6522	63	31	seasons	season	NOUN
ejpam-6522	63	32	on	on	ADP
ejpam-6522	63	33	the	the	DET
ejpam-6522	63	34	development	development	NOUN
ejpam-6522	63	35	and	and	CCONJ
ejpam-6522	63	36	spread	spread	VERB
ejpam-6522	63	37	of	of	ADP
ejpam-6522	63	38	wolbachia	wolbachia	NOUN
ejpam-6522	63	39	within	within	ADP
ejpam-6522	63	40	the	the	DET
ejpam-6522	63	41	aedes	aedes	PROPN
ejpam-6522	63	42	aegypti	aegypti	VERB
ejpam-6522	63	43	mosquito	mosquito	ADJ
ejpam-6522	63	44	population	population	NOUN
ejpam-6522	63	45	.	.	PUNCT
ejpam-6522	64	1	the	the	DET
ejpam-6522	64	2	model	model	NOUN
ejpam-6522	64	3	is	be	AUX
ejpam-6522	64	4	constructed	construct	VERB
ejpam-6522	64	5	using	use	VERB
ejpam-6522	64	6	the	the	DET
ejpam-6522	64	7	caputo	caputo	PROPN
ejpam-6522	64	8	fractional	fractional	PROPN
ejpam-6522	64	9	derivative	derivative	NOUN
ejpam-6522	64	10	,	,	PUNCT
ejpam-6522	64	11	which	which	PRON
ejpam-6522	64	12	provides	provide	VERB
ejpam-6522	64	13	benefits	benefit	NOUN
ejpam-6522	64	14	including	include	VERB
ejpam-6522	64	15	the	the	DET
ejpam-6522	64	16	ability	ability	NOUN
ejpam-6522	64	17	to	to	PART
ejpam-6522	64	18	capture	capture	VERB
ejpam-6522	64	19	memory	memory	NOUN
ejpam-6522	64	20	-	-	PUNCT
ejpam-6522	64	21	dependent	dependent	ADJ
ejpam-6522	64	22	effects	effect	NOUN
ejpam-6522	64	23	and	and	CCONJ
ejpam-6522	64	24	enhance	enhance	VERB
ejpam-6522	64	25	model	model	NOUN
ejpam-6522	64	26	accuracy	accuracy	NOUN
ejpam-6522	64	27	.	.	PUNCT
ejpam-6522	65	1	we	we	PRON
ejpam-6522	65	2	incorporate	incorporate	VERB
ejpam-6522	65	3	the	the	DET
ejpam-6522	65	4	consequences	consequence	NOUN
ejpam-6522	65	5	of	of	ADP
ejpam-6522	65	6	incomplete	incomplete	ADJ
ejpam-6522	65	7	maternal	maternal	ADJ
ejpam-6522	65	8	transmission	transmission	NOUN
ejpam-6522	65	9	and	and	CCONJ
ejpam-6522	65	10	the	the	DET
ejpam-6522	65	11	absence	absence	NOUN
ejpam-6522	65	12	of	of	ADP
ejpam-6522	65	13	wolbachia	wolbachia	NOUN
ejpam-6522	65	14	infection	infection	NOUN
ejpam-6522	65	15	.	.	PUNCT
ejpam-6522	66	1	a	a	DET
ejpam-6522	66	2	mosquito	mosquito	ADJ
ejpam-6522	66	3	population	population	NOUN
ejpam-6522	66	4	comprising	comprise	VERB
ejpam-6522	66	5	two	two	NUM
ejpam-6522	66	6	types	type	NOUN
ejpam-6522	66	7	,	,	PUNCT
ejpam-6522	66	8	wu	wu	PROPN
ejpam-6522	66	9	and	and	CCONJ
ejpam-6522	66	10	wi	wi	PROPN
ejpam-6522	66	11	,	,	PUNCT
ejpam-6522	66	12	is	be	AUX
ejpam-6522	66	13	analyzed	analyze	VERB
ejpam-6522	66	14	.	.	PUNCT
ejpam-6522	67	1	the	the	DET
ejpam-6522	67	2	model	model	NOUN
ejpam-6522	67	3	is	be	AUX
ejpam-6522	67	4	evaluated	evaluate	VERB
ejpam-6522	67	5	for	for	ADP
ejpam-6522	67	6	positivity	positivity	NOUN
ejpam-6522	67	7	and	and	CCONJ
ejpam-6522	67	8	boundedness	boundedness	NOUN
ejpam-6522	67	9	to	to	PART
ejpam-6522	67	10	ensure	ensure	VERB
ejpam-6522	67	11	biological	biological	ADJ
ejpam-6522	67	12	feasibility	feasibility	NOUN
ejpam-6522	67	13	.	.	PUNCT
ejpam-6522	68	1	the	the	DET
ejpam-6522	68	2	invasive	invasive	ADJ
ejpam-6522	68	3	reproduction	reproduction	NOUN
ejpam-6522	68	4	number	number	NOUN
ejpam-6522	68	5	is	be	AUX
ejpam-6522	68	6	determined	determine	VERB
ejpam-6522	68	7	to	to	PART
ejpam-6522	68	8	evaluate	evaluate	VERB
ejpam-6522	68	9	the	the	DET
ejpam-6522	68	10	efficacy	efficacy	NOUN
ejpam-6522	68	11	of	of	ADP
ejpam-6522	68	12	wolbachia	wolbachia	NOUN
ejpam-6522	68	13	-	-	PUNCT
ejpam-6522	68	14	infected	infect	VERB
ejpam-6522	68	15	mosquitoes	mosquito	NOUN
ejpam-6522	68	16	in	in	ADP
ejpam-6522	68	17	dengue	dengue	NOUN
ejpam-6522	68	18	control	control	NOUN
ejpam-6522	68	19	.	.	PUNCT
ejpam-6522	69	1	the	the	DET
ejpam-6522	69	2	stability	stability	NOUN
ejpam-6522	69	3	of	of	ADP
ejpam-6522	69	4	the	the	DET
ejpam-6522	69	5	equilibrium	equilibrium	NOUN
ejpam-6522	69	6	points	point	NOUN
ejpam-6522	69	7	is	be	AUX
ejpam-6522	69	8	examined	examine	VERB
ejpam-6522	69	9	using	use	VERB
ejpam-6522	69	10	lyapunov	lyapunov	NOUN
ejpam-6522	69	11	’s	’s	PART
ejpam-6522	69	12	direct	direct	ADJ
ejpam-6522	69	13	method	method	NOUN
ejpam-6522	69	14	.	.	PUNCT
ejpam-6522	70	1	numerical	numerical	ADJ
ejpam-6522	70	2	simulations	simulation	NOUN
ejpam-6522	70	3	,	,	PUNCT
ejpam-6522	70	4	performed	perform	VERB
ejpam-6522	70	5	using	use	VERB
ejpam-6522	70	6	the	the	DET
ejpam-6522	70	7	fractional	fractional	PROPN
ejpam-6522	70	8	adams	adam	NOUN
ejpam-6522	70	9	–	–	PUNCT
ejpam-6522	70	10	bashforth	bashforth	PROPN
ejpam-6522	70	11	–	–	PUNCT
ejpam-6522	70	12	moulton	moulton	NOUN
ejpam-6522	70	13	technique	technique	NOUN
ejpam-6522	70	14	,	,	PUNCT
ejpam-6522	70	15	illustrate	illustrate	VERB
ejpam-6522	70	16	the	the	DET
ejpam-6522	70	17	influence	influence	NOUN
ejpam-6522	70	18	of	of	ADP
ejpam-6522	70	19	model	model	NOUN
ejpam-6522	70	20	parameters	parameter	NOUN
ejpam-6522	70	21	and	and	CCONJ
ejpam-6522	70	22	fractional	fractional	ADJ
ejpam-6522	70	23	-	-	PUNCT
ejpam-6522	70	24	order	order	NOUN
ejpam-6522	70	25	values	value	NOUN
ejpam-6522	70	26	on	on	ADP
ejpam-6522	70	27	the	the	DET
ejpam-6522	70	28	spread	spread	NOUN
ejpam-6522	70	29	and	and	CCONJ
ejpam-6522	70	30	control	control	NOUN
ejpam-6522	70	31	of	of	ADP
ejpam-6522	70	32	wolbachia	wolbachia	NOUN
ejpam-6522	70	33	infection	infection	NOUN
ejpam-6522	70	34	.	.	PUNCT
ejpam-6522	71	1	furthermore	furthermore	ADV
ejpam-6522	71	2	,	,	PUNCT
ejpam-6522	71	3	we	we	PRON
ejpam-6522	71	4	investigate	investigate	VERB
ejpam-6522	71	5	the	the	DET
ejpam-6522	71	6	impact	impact	NOUN
ejpam-6522	71	7	of	of	ADP
ejpam-6522	71	8	seasonal	seasonal	ADJ
ejpam-6522	71	9	fluctuations	fluctuation	NOUN
ejpam-6522	71	10	on	on	ADP
ejpam-6522	71	11	the	the	DET
ejpam-6522	71	12	introduction	introduction	NOUN
ejpam-6522	71	13	and	and	CCONJ
ejpam-6522	71	14	transmission	transmission	NOUN
ejpam-6522	71	15	of	of	ADP
ejpam-6522	71	16	wolbachia	wolbachia	NOUN
ejpam-6522	71	17	within	within	ADP
ejpam-6522	71	18	the	the	DET
ejpam-6522	71	19	aedes	aedes	PROPN
ejpam-6522	71	20	aegypti	aegypti	VERB
ejpam-6522	71	21	mosquito	mosquito	ADJ
ejpam-6522	71	22	population	population	NOUN
ejpam-6522	71	23	,	,	PUNCT
ejpam-6522	71	24	emphasizing	emphasize	VERB
ejpam-6522	71	25	their	their	PRON
ejpam-6522	71	26	effects	effect	NOUN
ejpam-6522	71	27	across	across	ADP
ejpam-6522	71	28	various	various	ADJ
ejpam-6522	71	29	life	life	NOUN
ejpam-6522	71	30	stages	stage	NOUN
ejpam-6522	71	31	of	of	ADP
ejpam-6522	71	32	the	the	DET
ejpam-6522	71	33	mosquito	mosquito	NOUN
ejpam-6522	71	34	.	.	PUNCT
ejpam-6522	72	1	the	the	DET
ejpam-6522	72	2	paper	paper	NOUN
ejpam-6522	72	3	is	be	AUX
ejpam-6522	72	4	structured	structure	VERB
ejpam-6522	72	5	as	as	SCONJ
ejpam-6522	72	6	follows	follow	VERB
ejpam-6522	72	7	:	:	PUNCT
ejpam-6522	72	8	an	an	DET
ejpam-6522	72	9	introductory	introductory	ADJ
ejpam-6522	72	10	section	section	NOUN
ejpam-6522	72	11	sets	set	VERB
ejpam-6522	72	12	the	the	DET
ejpam-6522	72	13	context	context	NOUN
ejpam-6522	72	14	.	.	PUNCT
ejpam-6522	73	1	section	section	NOUN
ejpam-6522	73	2	2	2	NUM
ejpam-6522	73	3	introduces	introduce	NOUN
ejpam-6522	73	4	the	the	DET
ejpam-6522	73	5	model	model	NOUN
ejpam-6522	73	6	formulation	formulation	NOUN
ejpam-6522	73	7	,	,	PUNCT
ejpam-6522	73	8	fundamental	fundamental	ADJ
ejpam-6522	73	9	definitions	definition	NOUN
ejpam-6522	73	10	,	,	PUNCT
ejpam-6522	73	11	and	and	CCONJ
ejpam-6522	73	12	essential	essential	ADJ
ejpam-6522	73	13	properties	property	NOUN
ejpam-6522	73	14	of	of	ADP
ejpam-6522	73	15	the	the	DET
ejpam-6522	73	16	fractional	fractional	ADJ
ejpam-6522	73	17	operator	operator	NOUN
ejpam-6522	73	18	in	in	ADP
ejpam-6522	73	19	the	the	DET
ejpam-6522	73	20	caputo	caputo	PROPN
ejpam-6522	73	21	sense	sense	NOUN
ejpam-6522	73	22	.	.	PUNCT
ejpam-6522	74	1	section	section	NOUN
ejpam-6522	74	2	3	3	NUM
ejpam-6522	74	3	discusses	discuss	VERB
ejpam-6522	74	4	the	the	DET
ejpam-6522	74	5	positivity	positivity	NOUN
ejpam-6522	74	6	and	and	CCONJ
ejpam-6522	74	7	boundedness	boundedness	NOUN
ejpam-6522	74	8	of	of	ADP
ejpam-6522	74	9	solutions	solution	NOUN
ejpam-6522	74	10	.	.	PUNCT
ejpam-6522	75	1	in	in	ADP
ejpam-6522	75	2	section	section	NOUN
ejpam-6522	75	3	4	4	NUM
ejpam-6522	75	4	,	,	PUNCT
ejpam-6522	75	5	we	we	PRON
ejpam-6522	75	6	examine	examine	VERB
ejpam-6522	75	7	the	the	DET
ejpam-6522	75	8	model	model	NOUN
ejpam-6522	75	9	by	by	ADP
ejpam-6522	75	10	identifying	identify	VERB
ejpam-6522	75	11	the	the	DET
ejpam-6522	75	12	disease	disease	NOUN
ejpam-6522	75	13	-	-	PUNCT
ejpam-6522	75	14	free	free	ADJ
ejpam-6522	75	15	and	and	CCONJ
ejpam-6522	75	16	endemic	endemic	ADJ
ejpam-6522	75	17	equilibrium	equilibrium	NOUN
ejpam-6522	75	18	points	point	NOUN
ejpam-6522	75	19	and	and	CCONJ
ejpam-6522	75	20	derive	derive	VERB
ejpam-6522	75	21	the	the	DET
ejpam-6522	75	22	expression	expression	NOUN
ejpam-6522	75	23	for	for	ADP
ejpam-6522	75	24	the	the	DET
ejpam-6522	75	25	control	control	NOUN
ejpam-6522	75	26	reproduction	reproduction	NOUN
ejpam-6522	75	27	number	number	NOUN
ejpam-6522	75	28	.	.	PUNCT
ejpam-6522	76	1	section	section	NOUN
ejpam-6522	76	2	5	5	NUM
ejpam-6522	76	3	focuses	focus	VERB
ejpam-6522	76	4	on	on	ADP
ejpam-6522	76	5	the	the	DET
ejpam-6522	76	6	stability	stability	NOUN
ejpam-6522	76	7	analysis	analysis	NOUN
ejpam-6522	76	8	of	of	ADP
ejpam-6522	76	9	equilibrium	equilibrium	NOUN
ejpam-6522	76	10	points	point	NOUN
ejpam-6522	76	11	and	and	CCONJ
ejpam-6522	76	12	provides	provide	VERB
ejpam-6522	76	13	some	some	DET
ejpam-6522	76	14	graphical	graphical	ADJ
ejpam-6522	76	15	representations	representation	NOUN
ejpam-6522	76	16	of	of	ADP
ejpam-6522	76	17	the	the	DET
ejpam-6522	76	18	model	model	NOUN
ejpam-6522	76	19	’s	’s	PART
ejpam-6522	76	20	dynamics	dynamic	NOUN
ejpam-6522	76	21	.	.	PUNCT
ejpam-6522	77	1	section	section	NOUN
ejpam-6522	77	2	6	6	NUM
ejpam-6522	77	3	presents	present	VERB
ejpam-6522	77	4	the	the	DET
ejpam-6522	77	5	ulam	ulam	NOUN
ejpam-6522	77	6	-	-	PUNCT
ejpam-6522	77	7	hyers	hyer	NOUN
ejpam-6522	77	8	stability	stability	NOUN
ejpam-6522	77	9	of	of	ADP
ejpam-6522	77	10	the	the	DET
ejpam-6522	77	11	model	model	NOUN
ejpam-6522	77	12	,	,	PUNCT
ejpam-6522	77	13	and	and	CCONJ
ejpam-6522	77	14	section	section	NOUN
ejpam-6522	77	15	7	7	NUM
ejpam-6522	77	16	examines	examine	VERB
ejpam-6522	77	17	the	the	DET
ejpam-6522	77	18	seasonal	seasonal	ADJ
ejpam-6522	77	19	effect	effect	NOUN
ejpam-6522	77	20	of	of	ADP
ejpam-6522	77	21	the	the	DET
ejpam-6522	77	22	proposed	propose	VERB
ejpam-6522	77	23	model	model	NOUN
ejpam-6522	77	24	.	.	PUNCT
ejpam-6522	78	1	finally	finally	ADV
ejpam-6522	78	2	,	,	PUNCT
ejpam-6522	78	3	section	section	NOUN
ejpam-6522	78	4	8	8	NUM
ejpam-6522	78	5	concludes	conclude	VERB
ejpam-6522	78	6	the	the	DET
ejpam-6522	78	7	study	study	NOUN
ejpam-6522	78	8	with	with	ADP
ejpam-6522	78	9	a	a	DET
ejpam-6522	78	10	brief	brief	ADJ
ejpam-6522	78	11	discussion	discussion	NOUN
ejpam-6522	78	12	.	.	PUNCT
ejpam-6522	79	1	2	2	X
ejpam-6522	79	2	.	.	X
ejpam-6522	79	3	description	description	NOUN
ejpam-6522	79	4	of	of	ADP
ejpam-6522	79	5	model	model	NOUN
ejpam-6522	79	6	framework	framework	NOUN
ejpam-6522	79	7	we	we	PRON
ejpam-6522	79	8	develop	develop	VERB
ejpam-6522	79	9	an	an	DET
ejpam-6522	79	10	innovative	innovative	ADJ
ejpam-6522	79	11	fractional	fractional	ADJ
ejpam-6522	79	12	-	-	PUNCT
ejpam-6522	79	13	order	order	NOUN
ejpam-6522	79	14	mathematical	mathematical	ADJ
ejpam-6522	79	15	model	model	NOUN
ejpam-6522	79	16	that	that	PRON
ejpam-6522	79	17	represents	represent	VERB
ejpam-6522	79	18	the	the	DET
ejpam-6522	79	19	life	life	NOUN
ejpam-6522	79	20	stages	stage	NOUN
ejpam-6522	79	21	of	of	ADP
ejpam-6522	79	22	aedes	aedes	PROPN
ejpam-6522	79	23	aegypti	aegypti	VERB
ejpam-6522	79	24	mosquitoes	mosquito	NOUN
ejpam-6522	79	25	.	.	PUNCT
ejpam-6522	80	1	the	the	DET
ejpam-6522	80	2	aedes	aedes	PROPN
ejpam-6522	80	3	aegypti	aegypti	VERB
ejpam-6522	80	4	mosquito	mosquito	ADJ
ejpam-6522	80	5	population	population	NOUN
ejpam-6522	80	6	is	be	AUX
ejpam-6522	80	7	categorized	categorize	VERB
ejpam-6522	80	8	into	into	ADP
ejpam-6522	80	9	two	two	NUM
ejpam-6522	80	10	subpopulations	subpopulation	NOUN
ejpam-6522	80	11	:	:	PUNCT
ejpam-6522	80	12	wi	wi	PROPN
ejpam-6522	80	13	(	(	PUNCT
ejpam-6522	80	14	w	w	NOUN
ejpam-6522	80	15	)	)	PUNCT
ejpam-6522	80	16	and	and	CCONJ
ejpam-6522	80	17	wu	wu	PROPN
ejpam-6522	80	18	(	(	PUNCT
ejpam-6522	80	19	w̄	w̄	NOUN
ejpam-6522	80	20	)	)	PUNCT
ejpam-6522	80	21	.	.	PUNCT
ejpam-6522	81	1	assuming	assume	VERB
ejpam-6522	81	2	an	an	DET
ejpam-6522	81	3	equal	equal	ADJ
ejpam-6522	81	4	distribution	distribution	NOUN
ejpam-6522	81	5	of	of	ADP
ejpam-6522	81	6	adult	adult	NOUN
ejpam-6522	81	7	male	male	ADJ
ejpam-6522	81	8	and	and	CCONJ
ejpam-6522	81	9	female	female	ADJ
ejpam-6522	81	10	mosquitoes	mosquito	NOUN
ejpam-6522	81	11	,	,	PUNCT
ejpam-6522	81	12	we	we	PRON
ejpam-6522	81	13	designate	designate	VERB
ejpam-6522	81	14	adult	adult	NOUN
ejpam-6522	81	15	female	female	ADJ
ejpam-6522	81	16	mosquitoes	mosquito	NOUN
ejpam-6522	81	17	free	free	ADJ
ejpam-6522	81	18	of	of	ADP
ejpam-6522	81	19	wolbachia	wolbachia	NOUN
ejpam-6522	81	20	as	as	ADP
ejpam-6522	81	21	fw̄	fw̄	ADJ
ejpam-6522	81	22	and	and	CCONJ
ejpam-6522	81	23	adult	adult	NOUN
ejpam-6522	81	24	wi	wi	PROPN
ejpam-6522	81	25	female	female	ADJ
ejpam-6522	81	26	mosquitoes	mosquito	NOUN
ejpam-6522	81	27	as	as	ADP
ejpam-6522	81	28	fw	fw	PROPN
ejpam-6522	81	29	[	[	X
ejpam-6522	81	30	18	18	NUM
ejpam-6522	81	31	,	,	PUNCT
ejpam-6522	81	32	35	35	NUM
ejpam-6522	81	33	,	,	PUNCT
ejpam-6522	81	34	36	36	NUM
ejpam-6522	81	35	]	]	PUNCT
ejpam-6522	81	36	.	.	PUNCT
ejpam-6522	82	1	the	the	DET
ejpam-6522	82	2	fractional	fractional	ADJ
ejpam-6522	82	3	mathematical	mathematical	ADJ
ejpam-6522	82	4	model	model	NOUN
ejpam-6522	82	5	for	for	ADP
ejpam-6522	82	6	wolbachia	wolbachia	NOUN
ejpam-6522	82	7	invasion	invasion	NOUN
ejpam-6522	82	8	,	,	PUNCT
ejpam-6522	82	9	considering	consider	VERB
ejpam-6522	82	10	imperfect	imperfect	ADJ
ejpam-6522	82	11	maternal	maternal	ADJ
ejpam-6522	82	12	transmission	transmission	NOUN
ejpam-6522	82	13	and	and	CCONJ
ejpam-6522	82	14	infection	infection	NOUN
ejpam-6522	82	15	loss	loss	NOUN
ejpam-6522	82	16	,	,	PUNCT
ejpam-6522	82	17	is	be	AUX
ejpam-6522	82	18	as	as	ADP
ejpam-6522	82	19	m.	m.	PROPN
ejpam-6522	82	20	yar	yar	PROPN
ejpam-6522	82	21	,	,	PUNCT
ejpam-6522	82	22	s.	s.	PROPN
ejpam-6522	82	23	javeed	javeed	PROPN
ejpam-6522	82	24	,	,	PUNCT
ejpam-6522	82	25	t.	t.	PROPN
ejpam-6522	82	26	abbas	abbas	PROPN
ejpam-6522	82	27	khan	khan	PROPN
ejpam-6522	82	28	/	/	SYM
ejpam-6522	82	29	eur	eur	PROPN
ejpam-6522	82	30	.	.	PUNCT
ejpam-6522	83	1	j.	j.	PROPN
ejpam-6522	83	2	pure	pure	PROPN
ejpam-6522	83	3	appl	appl	PROPN
ejpam-6522	83	4	.	.	PROPN
ejpam-6522	83	5	math	math	PROPN
ejpam-6522	83	6	,	,	PUNCT
ejpam-6522	83	7	18	18	NUM
ejpam-6522	83	8	(	(	PUNCT
ejpam-6522	83	9	3	3	NUM
ejpam-6522	83	10	)	)	PUNCT
ejpam-6522	83	11	(	(	PUNCT
ejpam-6522	83	12	2025	2025	NUM
ejpam-6522	83	13	)	)	PUNCT
ejpam-6522	83	14	,	,	PUNCT
ejpam-6522	83	15	6522	6522	NUM
ejpam-6522	83	16	4	4	NUM
ejpam-6522	83	17	of	of	ADP
ejpam-6522	83	18	23	23	NUM
ejpam-6522	83	19	follows	follow	VERB
ejpam-6522	83	20	:	:	PUNCT
ejpam-6522	83	21			NUM
ejpam-6522	83	22	cdαqw̄	cdαqw̄	PROPN
ejpam-6522	84	1	=	=	PUNCT
ejpam-6522	84	2	[	[	PUNCT
ejpam-6522	84	3	ϕw̄f	ϕw̄f	X
ejpam-6522	84	4	2	2	NUM
ejpam-6522	84	5	w̄	w̄	NOUN
ejpam-6522	84	6	+	+	CCONJ
ejpam-6522	84	7	ρ1ϕwf	ρ1ϕwf	PROPN
ejpam-6522	84	8	2	2	NUM
ejpam-6522	84	9	w	w	NOUN
ejpam-6522	84	10	+	+	CCONJ
ejpam-6522	84	11	ρ2ϕwfwfw̄	ρ2ϕwfwfw̄	ADJ
ejpam-6522	84	12	fw̄	fw̄	NOUN
ejpam-6522	84	13	+	+	CCONJ
ejpam-6522	84	14	fw	fw	X
ejpam-6522	84	15	]	]	X
ejpam-6522	84	16	(	(	PUNCT
ejpam-6522	84	17	1−	1−	NUM
ejpam-6522	84	18	q	q	PROPN
ejpam-6522	84	19	k	k	PROPN
ejpam-6522	84	20	)	)	PUNCT
ejpam-6522	84	21	−	−	PROPN
ejpam-6522	84	22	(	(	PUNCT
ejpam-6522	84	23	µa	µa	NOUN
ejpam-6522	84	24	+	+	CCONJ
ejpam-6522	84	25	ψ)qw̄	ψ)qw̄	ADJ
ejpam-6522	84	26	,	,	PUNCT
ejpam-6522	84	27	cdαqw	cdαqw	NOUN
ejpam-6522	84	28	=	=	SYM
ejpam-6522	84	29	[	[	PUNCT
ejpam-6522	84	30	(	(	PUNCT
ejpam-6522	84	31	1−	1−	NUM
ejpam-6522	84	32	ρ1)ϕwf	ρ1)ϕwf	ADJ
ejpam-6522	84	33	2	2	NUM
ejpam-6522	84	34	w	w	NOUN
ejpam-6522	84	35	+	+	CCONJ
ejpam-6522	84	36	(	(	PUNCT
ejpam-6522	84	37	1−	1−	NUM
ejpam-6522	84	38	ρ2)ϕwfwfw̄	ρ2)ϕwfwfw̄	NOUN
ejpam-6522	84	39	fw̄	fw̄	NOUN
ejpam-6522	84	40	+	+	CCONJ
ejpam-6522	84	41	fw	fw	X
ejpam-6522	84	42	]	]	X
ejpam-6522	84	43	(	(	PUNCT
ejpam-6522	84	44	1−	1−	NUM
ejpam-6522	84	45	q	q	PROPN
ejpam-6522	84	46	k	k	PROPN
ejpam-6522	84	47	)	)	PUNCT
ejpam-6522	84	48	−	−	PROPN
ejpam-6522	84	49	(	(	PUNCT
ejpam-6522	84	50	µa	µa	PROPN
ejpam-6522	84	51	+	+	CCONJ
ejpam-6522	84	52	ψ)qw	ψ)qw	ADJ
ejpam-6522	84	53	,	,	PUNCT
ejpam-6522	84	54	cdαfw̄	cdαfw̄	NOUN
ejpam-6522	84	55	=	=	SYM
ejpam-6522	84	56	ψ	ψ	X
ejpam-6522	84	57	2	2	NUM
ejpam-6522	84	58	qw̄	qw̄	NOUN
ejpam-6522	84	59	+	+	CCONJ
ejpam-6522	84	60	σfw	σfw	NOUN
ejpam-6522	84	61	−	−	NOUN
ejpam-6522	84	62	µw̄fw̄	µw̄fw̄	PROPN
ejpam-6522	84	63	,	,	PUNCT
ejpam-6522	84	64	cdαfw	cdαfw	NOUN
ejpam-6522	84	65	=	=	SYM
ejpam-6522	84	66	ψ	ψ	X
ejpam-6522	84	67	2	2	NUM
ejpam-6522	84	68	qw	qw	ADP
ejpam-6522	84	69	−	−	PROPN
ejpam-6522	84	70	σfw	σfw	NOUN
ejpam-6522	84	71	−	−	NOUN
ejpam-6522	84	72	µwfw	µwfw	NOUN
ejpam-6522	84	73	.	.	PUNCT
ejpam-6522	85	1	(	(	PUNCT
ejpam-6522	85	2	1	1	X
ejpam-6522	85	3	)	)	PUNCT
ejpam-6522	85	4	here	here	ADV
ejpam-6522	85	5	,	,	PUNCT
ejpam-6522	85	6	qw̄(0	qw̄(0	VERB
ejpam-6522	85	7	)	)	PUNCT
ejpam-6522	85	8	=	=	SYM
ejpam-6522	85	9	200000	200000	NUM
ejpam-6522	85	10	,	,	PUNCT
ejpam-6522	85	11	qw(0	qw(0	NOUN
ejpam-6522	85	12	)	)	PUNCT
ejpam-6522	85	13	=	=	SYM
ejpam-6522	85	14	500000	500000	NUM
ejpam-6522	85	15	,	,	PUNCT
ejpam-6522	85	16	fw̄(0	fw̄(0	NOUN
ejpam-6522	85	17	)	)	PUNCT
ejpam-6522	85	18	=	=	SYM
ejpam-6522	85	19	900000	900000	NUM
ejpam-6522	85	20	,	,	PUNCT
ejpam-6522	85	21	and	and	CCONJ
ejpam-6522	85	22	fw(0	fw(0	NOUN
ejpam-6522	85	23	)	)	PUNCT
ejpam-6522	86	1	=	=	SYM
ejpam-6522	86	2	600000	600000	NUM
ejpam-6522	86	3	are	be	AUX
ejpam-6522	86	4	the	the	DET
ejpam-6522	86	5	initial	initial	ADJ
ejpam-6522	86	6	conditions	condition	NOUN
ejpam-6522	86	7	.	.	PUNCT
ejpam-6522	87	1	in	in	ADP
ejpam-6522	87	2	the	the	DET
ejpam-6522	87	3	above	above	ADJ
ejpam-6522	87	4	equation	equation	NOUN
ejpam-6522	87	5	,	,	PUNCT
ejpam-6522	87	6	cdα	cdα	NOUN
ejpam-6522	87	7	denotes	denote	VERB
ejpam-6522	87	8	the	the	DET
ejpam-6522	87	9	caputo	caputo	PROPN
ejpam-6522	87	10	fractional	fractional	PROPN
ejpam-6522	87	11	derivative	derivative	NOUN
ejpam-6522	87	12	where	where	SCONJ
ejpam-6522	87	13	α	α	NOUN
ejpam-6522	87	14	is	be	AUX
ejpam-6522	87	15	the	the	DET
ejpam-6522	87	16	order	order	NOUN
ejpam-6522	87	17	of	of	ADP
ejpam-6522	87	18	derivative	derivative	NOUN
ejpam-6522	87	19	,	,	PUNCT
ejpam-6522	87	20	0	0	NUM
ejpam-6522	87	21	<	<	X
ejpam-6522	87	22	α	α	PROPN
ejpam-6522	87	23	≤	≤	NUM
ejpam-6522	87	24	1	1	NUM
ejpam-6522	87	25	.	.	PUNCT
ejpam-6522	88	1	k	k	PROPN
ejpam-6522	88	2	stands	stand	VERB
ejpam-6522	88	3	for	for	ADP
ejpam-6522	88	4	the	the	DET
ejpam-6522	88	5	aquatic	aquatic	ADJ
ejpam-6522	88	6	phase	phase	NOUN
ejpam-6522	88	7	’s	’s	PART
ejpam-6522	88	8	carrying	carry	VERB
ejpam-6522	88	9	capacity	capacity	NOUN
ejpam-6522	88	10	,	,	PUNCT
ejpam-6522	88	11	ϕw̄	ϕw̄	ADV
ejpam-6522	88	12	denotes	denote	VERB
ejpam-6522	88	13	the	the	DET
ejpam-6522	88	14	egg	egg	NOUN
ejpam-6522	88	15	-	-	PUNCT
ejpam-6522	88	16	laying	lay	VERB
ejpam-6522	88	17	rate	rate	NOUN
ejpam-6522	88	18	for	for	ADP
ejpam-6522	88	19	wolbachia	wolbachia	NOUN
ejpam-6522	88	20	-	-	PUNCT
ejpam-6522	88	21	free	free	ADJ
ejpam-6522	88	22	mosquitoes	mosquito	NOUN
ejpam-6522	88	23	and	and	CCONJ
ejpam-6522	88	24	,	,	PUNCT
ejpam-6522	88	25	ϕw	ϕw	PRON
ejpam-6522	88	26	is	be	AUX
ejpam-6522	88	27	the	the	DET
ejpam-6522	88	28	egg	egg	NOUN
ejpam-6522	88	29	-	-	PUNCT
ejpam-6522	88	30	laying	lay	VERB
ejpam-6522	88	31	rate	rate	NOUN
ejpam-6522	88	32	for	for	ADP
ejpam-6522	88	33	mosquitoes	mosquito	NOUN
ejpam-6522	88	34	with	with	ADP
ejpam-6522	88	35	wolbachia	wolbachia	NOUN
ejpam-6522	88	36	infection	infection	NOUN
ejpam-6522	88	37	.	.	PUNCT
ejpam-6522	89	1	the	the	DET
ejpam-6522	89	2	ρ1	ρ1	NOUN
ejpam-6522	89	3	is	be	AUX
ejpam-6522	89	4	the	the	DET
ejpam-6522	89	5	fraction	fraction	NOUN
ejpam-6522	89	6	of	of	ADP
ejpam-6522	89	7	eggs	egg	NOUN
ejpam-6522	89	8	that	that	PRON
ejpam-6522	89	9	are	be	AUX
ejpam-6522	89	10	wolbachia	wolbachia	NOUN
ejpam-6522	89	11	free	free	ADJ
ejpam-6522	89	12	when	when	SCONJ
ejpam-6522	89	13	adult	adult	NOUN
ejpam-6522	89	14	female	female	ADJ
ejpam-6522	89	15	and	and	CCONJ
ejpam-6522	89	16	male	male	ADJ
ejpam-6522	89	17	mosquitoes	mosquito	NOUN
ejpam-6522	89	18	with	with	ADP
ejpam-6522	89	19	wolbachia	wolbachia	NOUN
ejpam-6522	89	20	infection	infection	NOUN
ejpam-6522	89	21	mate	mate	NOUN
ejpam-6522	89	22	,	,	PUNCT
ejpam-6522	89	23	ρ2	ρ2	NOUN
ejpam-6522	89	24	is	be	AUX
ejpam-6522	89	25	the	the	DET
ejpam-6522	89	26	fraction	fraction	NOUN
ejpam-6522	89	27	of	of	ADP
ejpam-6522	89	28	eggs	egg	NOUN
ejpam-6522	89	29	that	that	PRON
ejpam-6522	89	30	are	be	AUX
ejpam-6522	89	31	wolbachia	wolbachia	NOUN
ejpam-6522	89	32	free	free	ADJ
ejpam-6522	89	33	when	when	SCONJ
ejpam-6522	89	34	adult	adult	NOUN
ejpam-6522	89	35	wolbachia	wolbachia	NOUN
ejpam-6522	89	36	free	free	ADJ
ejpam-6522	89	37	males	male	NOUN
ejpam-6522	89	38	and	and	CCONJ
ejpam-6522	89	39	females	female	NOUN
ejpam-6522	89	40	with	with	ADP
ejpam-6522	89	41	wolbachia	wolbachia	NOUN
ejpam-6522	89	42	infection	infection	NOUN
ejpam-6522	89	43	mate	mate	NOUN
ejpam-6522	89	44	,	,	PUNCT
ejpam-6522	89	45	σ	σ	PROPN
ejpam-6522	89	46	denotes	denotes	PROPN
ejpam-6522	89	47	loss	loss	NOUN
ejpam-6522	89	48	of	of	ADP
ejpam-6522	89	49	wolbachia	wolbachia	NOUN
ejpam-6522	89	50	infection	infection	NOUN
ejpam-6522	89	51	,	,	PUNCT
ejpam-6522	89	52	ψ	ψ	NOUN
ejpam-6522	89	53	is	be	AUX
ejpam-6522	89	54	the	the	DET
ejpam-6522	89	55	maturation	maturation	NOUN
ejpam-6522	89	56	rate	rate	NOUN
ejpam-6522	89	57	,	,	PUNCT
ejpam-6522	89	58	µa	µa	NOUN
ejpam-6522	89	59	represents	represent	VERB
ejpam-6522	89	60	the	the	DET
ejpam-6522	89	61	aquatic	aquatic	ADJ
ejpam-6522	89	62	death	death	NOUN
ejpam-6522	89	63	rate	rate	NOUN
ejpam-6522	89	64	,	,	PUNCT
ejpam-6522	89	65	µw̄	µw̄	ADV
ejpam-6522	89	66	is	be	AUX
ejpam-6522	89	67	the	the	DET
ejpam-6522	89	68	death	death	NOUN
ejpam-6522	89	69	rate	rate	NOUN
ejpam-6522	89	70	of	of	ADP
ejpam-6522	89	71	wolbachia	wolbachia	NOUN
ejpam-6522	89	72	-	-	PUNCT
ejpam-6522	89	73	free	free	ADJ
ejpam-6522	89	74	mosquitoes	mosquito	NOUN
ejpam-6522	89	75	,	,	PUNCT
ejpam-6522	89	76	and	and	CCONJ
ejpam-6522	89	77	µw	µw	PROPN
ejpam-6522	89	78	denotes	denote	VERB
ejpam-6522	89	79	the	the	DET
ejpam-6522	89	80	death	death	NOUN
ejpam-6522	89	81	rate	rate	NOUN
ejpam-6522	89	82	of	of	ADP
ejpam-6522	89	83	mosquitoes	mosquito	NOUN
ejpam-6522	89	84	with	with	ADP
ejpam-6522	89	85	wolbachia	wolbachia	NOUN
ejpam-6522	89	86	infection	infection	NOUN
ejpam-6522	89	87	.	.	PUNCT
ejpam-6522	90	1	the	the	DET
ejpam-6522	90	2	following	follow	VERB
ejpam-6522	90	3	definitions	definition	NOUN
ejpam-6522	90	4	and	and	CCONJ
ejpam-6522	90	5	properties	property	NOUN
ejpam-6522	90	6	of	of	ADP
ejpam-6522	90	7	fractional	fractional	ADJ
ejpam-6522	90	8	operators	operator	NOUN
ejpam-6522	90	9	will	will	AUX
ejpam-6522	90	10	be	be	AUX
ejpam-6522	90	11	useful	useful	ADJ
ejpam-6522	90	12	throughout	throughout	ADP
ejpam-6522	90	13	our	our	PRON
ejpam-6522	90	14	work	work	NOUN
ejpam-6522	90	15	.	.	PUNCT
ejpam-6522	91	1	definition	definition	NOUN
ejpam-6522	91	2	1	1	NUM
ejpam-6522	91	3	.	.	PUNCT
ejpam-6522	92	1	the	the	DET
ejpam-6522	92	2	fractional	fractional	ADJ
ejpam-6522	92	3	integral	integral	NOUN
ejpam-6522	92	4	for	for	ADP
ejpam-6522	92	5	a	a	DET
ejpam-6522	92	6	function	function	NOUN
ejpam-6522	92	7	f	f	NOUN
ejpam-6522	92	8	:	:	PUNCT
ejpam-6522	92	9	(	(	PUNCT
ejpam-6522	92	10	t0,∞	t0,∞	NUM
ejpam-6522	92	11	)	)	PUNCT
ejpam-6522	92	12	→	→	SYM
ejpam-6522	92	13	r	r	NOUN
ejpam-6522	92	14	is	be	AUX
ejpam-6522	92	15	defined	define	VERB
ejpam-6522	92	16	by	by	ADP
ejpam-6522	92	17	iα	iα	PROPN
ejpam-6522	92	18	t	t	PROPN
ejpam-6522	92	19	f(t	f(t	PROPN
ejpam-6522	92	20	)	)	PUNCT
ejpam-6522	92	21	:	:	PUNCT
ejpam-6522	93	1	=	=	NOUN
ejpam-6522	93	2	1	1	NUM
ejpam-6522	93	3	γ(q	γ(q	PROPN
ejpam-6522	93	4	)	)	PUNCT
ejpam-6522	93	5	∫	∫	PROPN
ejpam-6522	93	6	t	t	PROPN
ejpam-6522	93	7	t0	t0	PROPN
ejpam-6522	93	8	(	(	PUNCT
ejpam-6522	93	9	t−	t−	PROPN
ejpam-6522	93	10	x)α−1f(x)dx	x)α−1f(x)dx	PROPN
ejpam-6522	93	11	,	,	PUNCT
ejpam-6522	93	12	where	where	SCONJ
ejpam-6522	93	13	α	α	NOUN
ejpam-6522	93	14	is	be	AUX
ejpam-6522	93	15	the	the	DET
ejpam-6522	93	16	order	order	NOUN
ejpam-6522	93	17	of	of	ADP
ejpam-6522	93	18	integral	integral	ADJ
ejpam-6522	93	19	with	with	ADP
ejpam-6522	93	20	0	0	NUM
ejpam-6522	93	21	<	<	X
ejpam-6522	93	22	α	α	PROPN
ejpam-6522	93	23	⩽	⩽	PROPN
ejpam-6522	93	24	1	1	NUM
ejpam-6522	93	25	,	,	PUNCT
ejpam-6522	93	26	n	n	PRON
ejpam-6522	93	27	∈	∈	PROPN
ejpam-6522	93	28	n	n	NOUN
ejpam-6522	93	29	and	and	CCONJ
ejpam-6522	93	30	γ	γ	X
ejpam-6522	93	31	(	(	PUNCT
ejpam-6522	93	32	.	.	PUNCT
ejpam-6522	93	33	)	)	PUNCT
ejpam-6522	93	34	denotes	denote	VERB
ejpam-6522	93	35	the	the	DET
ejpam-6522	93	36	gamma	gamma	PROPN
ejpam-6522	93	37	function	function	NOUN
ejpam-6522	93	38	.	.	PUNCT
ejpam-6522	94	1	definition	definition	NOUN
ejpam-6522	94	2	2	2	NUM
ejpam-6522	94	3	.	.	PUNCT
ejpam-6522	95	1	the	the	DET
ejpam-6522	95	2	caputo	caputo	PROPN
ejpam-6522	95	3	fractional	fractional	PROPN
ejpam-6522	95	4	derivative	derivative	NOUN
ejpam-6522	95	5	of	of	ADP
ejpam-6522	95	6	order	order	NOUN
ejpam-6522	95	7	α	α	NOUN
ejpam-6522	95	8	with	with	ADP
ejpam-6522	95	9	n−	n−	NOUN
ejpam-6522	95	10	1	1	NUM
ejpam-6522	95	11	<	<	X
ejpam-6522	95	12	α	α	PROPN
ejpam-6522	95	13	⩽	⩽	NOUN
ejpam-6522	95	14	n	n	PART
ejpam-6522	95	15	is	be	AUX
ejpam-6522	95	16	defined	define	VERB
ejpam-6522	95	17	as	as	ADP
ejpam-6522	95	18	:	:	PUNCT
ejpam-6522	95	19	cdα	cdα	NOUN
ejpam-6522	95	20	t	t	PROPN
ejpam-6522	95	21	f(t	f(t	PROPN
ejpam-6522	95	22	)	)	PUNCT
ejpam-6522	95	23	:	:	PUNCT
ejpam-6522	96	1	=	=	SYM
ejpam-6522	96	2	1	1	NUM
ejpam-6522	96	3	γ(n−	γ(n−	PROPN
ejpam-6522	96	4	α	α	PROPN
ejpam-6522	96	5	)	)	PUNCT
ejpam-6522	96	6	∫	∫	PROPN
ejpam-6522	97	1	t	t	PROPN
ejpam-6522	97	2	0	0	NUM
ejpam-6522	97	3	fn(x	fn(x	NUM
ejpam-6522	97	4	)	)	PUNCT
ejpam-6522	97	5	(	(	PUNCT
ejpam-6522	97	6	t−	t−	PROPN
ejpam-6522	97	7	x)α−n+1	x)α−n+1	PROPN
ejpam-6522	97	8	dx	dx	PROPN
ejpam-6522	97	9	.	.	PROPN
ejpam-6522	97	10	theorem	theorem	PROPN
ejpam-6522	97	11	1	1	X
ejpam-6522	97	12	.	.	PUNCT
ejpam-6522	98	1	let	let	VERB
ejpam-6522	98	2	re(α	re(α	NOUN
ejpam-6522	98	3	)	)	PUNCT
ejpam-6522	98	4	>	>	X
ejpam-6522	98	5	0	0	NUM
ejpam-6522	98	6	,	,	PUNCT
ejpam-6522	98	7	n	n	NOUN
ejpam-6522	98	8	=	=	SYM
ejpam-6522	99	1	[	[	X
ejpam-6522	99	2	re(v	re(v	NOUN
ejpam-6522	99	3	)	)	PUNCT
ejpam-6522	99	4	]	]	PUNCT
ejpam-6522	100	1	+	+	PUNCT
ejpam-6522	100	2	1	1	X
ejpam-6522	100	3	.	.	PUNCT
ejpam-6522	100	4	then	then	ADV
ejpam-6522	100	5	iα	iα	VERB
ejpam-6522	100	6	t	t	PROPN
ejpam-6522	101	1	d	d	NOUN
ejpam-6522	101	2	α	α	PROPN
ejpam-6522	101	3	t	t	NOUN
ejpam-6522	101	4	f(t	f(t	PROPN
ejpam-6522	101	5	)	)	PUNCT
ejpam-6522	102	1	=	=	PUNCT
ejpam-6522	103	1	f(x)−	f(x)−	PROPN
ejpam-6522	103	2	n∑	n∑	INTJ
ejpam-6522	103	3	k=1	k=1	X
ejpam-6522	104	1	(	(	PUNCT
ejpam-6522	104	2	dk	dk	PROPN
ejpam-6522	104	3	t	t	PROPN
ejpam-6522	104	4	f	f	PROPN
ejpam-6522	104	5	)	)	PUNCT
ejpam-6522	105	1	k	k	X
ejpam-6522	105	2	!	!	PUNCT
ejpam-6522	106	1	xk	xk	PROPN
ejpam-6522	106	2	.	.	PROPN
ejpam-6522	107	1	(	(	PUNCT
ejpam-6522	107	2	2	2	X
ejpam-6522	107	3	)	)	PUNCT
ejpam-6522	107	4	lemma	lemma	PROPN
ejpam-6522	107	5	1	1	NUM
ejpam-6522	107	6	.	.	PUNCT
ejpam-6522	108	1	[	[	X
ejpam-6522	108	2	37	37	NUM
ejpam-6522	108	3	]	]	PUNCT
ejpam-6522	108	4	let	let	VERB
ejpam-6522	108	5	x(t	x(t	PROPN
ejpam-6522	108	6	)	)	PUNCT
ejpam-6522	108	7	be	be	VERB
ejpam-6522	108	8	a	a	DET
ejpam-6522	108	9	positive	positive	ADJ
ejpam-6522	108	10	real	real	ADJ
ejpam-6522	108	11	,	,	PUNCT
ejpam-6522	108	12	continuous	continuous	ADJ
ejpam-6522	108	13	and	and	CCONJ
ejpam-6522	108	14	differentiable	differentiable	ADJ
ejpam-6522	108	15	function	function	NOUN
ejpam-6522	108	16	.	.	PUNCT
ejpam-6522	109	1	then	then	ADV
ejpam-6522	109	2	for	for	ADP
ejpam-6522	109	3	any	any	DET
ejpam-6522	109	4	t	t	PROPN
ejpam-6522	109	5	≥	≥	NOUN
ejpam-6522	109	6	t0	t0	PROPN
ejpam-6522	109	7	and	and	CCONJ
ejpam-6522	109	8	0	0	NUM
ejpam-6522	109	9	<	<	X
ejpam-6522	109	10	α	α	PROPN
ejpam-6522	109	11	⩽	⩽	PROPN
ejpam-6522	109	12	1	1	NUM
ejpam-6522	109	13	,	,	PUNCT
ejpam-6522	109	14	and	and	CCONJ
ejpam-6522	109	15	x∗	x∗	X
ejpam-6522	109	16	>	>	X
ejpam-6522	109	17	0	0	NUM
ejpam-6522	109	18	,	,	PUNCT
ejpam-6522	109	19	we	we	PRON
ejpam-6522	109	20	have	have	VERB
ejpam-6522	109	21	cdα	cdα	PROPN
ejpam-6522	109	22	t	t	PROPN
ejpam-6522	109	23	[	[	PUNCT
ejpam-6522	109	24	x(t)−	x(t)−	PROPN
ejpam-6522	109	25	x∗	x∗	PROPN
ejpam-6522	109	26	−	−	PROPN
ejpam-6522	110	1	x∗	x∗	PROPN
ejpam-6522	111	1	ln	ln	X
ejpam-6522	112	1	(	(	PUNCT
ejpam-6522	112	2	x(t	x(t	PROPN
ejpam-6522	112	3	)	)	PUNCT
ejpam-6522	112	4	x∗	x∗	PROPN
ejpam-6522	112	5	)	)	PUNCT
ejpam-6522	112	6	]	]	PUNCT
ejpam-6522	113	1	≤	≤	NUM
ejpam-6522	113	2	(	(	PUNCT
ejpam-6522	113	3	1−	1−	NUM
ejpam-6522	113	4	x∗	x∗	PROPN
ejpam-6522	113	5	x(t	x(t	PROPN
ejpam-6522	113	6	)	)	PUNCT
ejpam-6522	113	7	)	)	PUNCT
ejpam-6522	114	1	dα	dα	VERB
ejpam-6522	114	2	t	t	PROPN
ejpam-6522	114	3	x(t	x(t	PROPN
ejpam-6522	114	4	)	)	PUNCT
ejpam-6522	114	5	.	.	PUNCT
ejpam-6522	115	1	(	(	PUNCT
ejpam-6522	115	2	3	3	X
ejpam-6522	115	3	)	)	PUNCT
ejpam-6522	115	4	we	we	PRON
ejpam-6522	115	5	select	select	VERB
ejpam-6522	115	6	the	the	DET
ejpam-6522	115	7	caputo	caputo	PROPN
ejpam-6522	115	8	derivative	derivative	NOUN
ejpam-6522	115	9	;	;	PUNCT
ejpam-6522	115	10	however	however	ADV
ejpam-6522	115	11	,	,	PUNCT
ejpam-6522	115	12	various	various	ADJ
ejpam-6522	115	13	fractional	fractional	ADJ
ejpam-6522	115	14	derivatives	derivative	NOUN
ejpam-6522	115	15	,	,	PUNCT
ejpam-6522	115	16	like	like	ADP
ejpam-6522	115	17	the	the	DET
ejpam-6522	115	18	riemann	riemann	PROPN
ejpam-6522	115	19	-	-	PUNCT
ejpam-6522	115	20	liouville	liouville	VERB
ejpam-6522	115	21	derivative	derivative	NOUN
ejpam-6522	115	22	and	and	CCONJ
ejpam-6522	115	23	the	the	DET
ejpam-6522	115	24	caputo	caputo	PROPN
ejpam-6522	115	25	-	-	PUNCT
ejpam-6522	115	26	fabrizio	fabrizio	PROPN
ejpam-6522	115	27	derivative	derivative	NOUN
ejpam-6522	115	28	,	,	PUNCT
ejpam-6522	115	29	are	be	AUX
ejpam-6522	115	30	also	also	ADV
ejpam-6522	115	31	relevant	relevant	ADJ
ejpam-6522	115	32	.	.	PUNCT
ejpam-6522	116	1	a	a	DET
ejpam-6522	116	2	key	key	ADJ
ejpam-6522	116	3	advantage	advantage	NOUN
ejpam-6522	116	4	of	of	ADP
ejpam-6522	116	5	adopting	adopt	VERB
ejpam-6522	116	6	the	the	DET
ejpam-6522	116	7	caputo	caputo	PROPN
ejpam-6522	116	8	fractional	fractional	PROPN
ejpam-6522	116	9	derivative	derivative	PROPN
ejpam-6522	116	10	is	be	AUX
ejpam-6522	116	11	its	its	PRON
ejpam-6522	116	12	ability	ability	NOUN
ejpam-6522	116	13	to	to	PART
ejpam-6522	116	14	facilitate	facilitate	VERB
ejpam-6522	116	15	the	the	DET
ejpam-6522	116	16	solution	solution	NOUN
ejpam-6522	116	17	m.	m.	PROPN
ejpam-6522	116	18	yar	yar	PROPN
ejpam-6522	116	19	,	,	PUNCT
ejpam-6522	116	20	s.	s.	PROPN
ejpam-6522	116	21	javeed	javeed	PROPN
ejpam-6522	116	22	,	,	PUNCT
ejpam-6522	116	23	t.	t.	PROPN
ejpam-6522	116	24	abbas	abbas	PROPN
ejpam-6522	116	25	khan	khan	PROPN
ejpam-6522	116	26	/	/	SYM
ejpam-6522	116	27	eur	eur	PROPN
ejpam-6522	116	28	.	.	PUNCT
ejpam-6522	117	1	j.	j.	PROPN
ejpam-6522	117	2	pure	pure	PROPN
ejpam-6522	117	3	appl	appl	PROPN
ejpam-6522	117	4	.	.	PROPN
ejpam-6522	117	5	math	math	PROPN
ejpam-6522	117	6	,	,	PUNCT
ejpam-6522	117	7	18	18	NUM
ejpam-6522	117	8	(	(	PUNCT
ejpam-6522	117	9	3	3	NUM
ejpam-6522	117	10	)	)	PUNCT
ejpam-6522	117	11	(	(	PUNCT
ejpam-6522	117	12	2025	2025	NUM
ejpam-6522	117	13	)	)	PUNCT
ejpam-6522	117	14	,	,	PUNCT
ejpam-6522	117	15	6522	6522	NUM
ejpam-6522	117	16	5	5	NUM
ejpam-6522	117	17	of	of	ADP
ejpam-6522	117	18	23	23	NUM
ejpam-6522	117	19	of	of	ADP
ejpam-6522	117	20	problems	problem	NOUN
ejpam-6522	117	21	with	with	ADP
ejpam-6522	117	22	standard	standard	ADJ
ejpam-6522	117	23	initial	initial	ADJ
ejpam-6522	117	24	and	and	CCONJ
ejpam-6522	117	25	boundary	boundary	ADJ
ejpam-6522	117	26	conditions	condition	NOUN
ejpam-6522	117	27	.	.	PUNCT
ejpam-6522	118	1	real	real	ADJ
ejpam-6522	118	2	-	-	PUNCT
ejpam-6522	118	3	world	world	NOUN
ejpam-6522	118	4	problems	problem	NOUN
ejpam-6522	118	5	seem	seem	VERB
ejpam-6522	118	6	to	to	PART
ejpam-6522	118	7	be	be	AUX
ejpam-6522	118	8	simple	simple	ADJ
ejpam-6522	118	9	to	to	PART
ejpam-6522	118	10	physically	physically	ADV
ejpam-6522	118	11	understand	understand	VERB
ejpam-6522	118	12	using	use	VERB
ejpam-6522	118	13	the	the	DET
ejpam-6522	118	14	caputo	caputo	PROPN
ejpam-6522	118	15	derivative	derivative	NOUN
ejpam-6522	119	1	[	[	X
ejpam-6522	119	2	19	19	NUM
ejpam-6522	119	3	]	]	PUNCT
ejpam-6522	119	4	.	.	PUNCT
ejpam-6522	120	1	description	description	NOUN
ejpam-6522	120	2	parameter	parameter	PROPN
ejpam-6522	120	3	estimate[range	estimate[range	PROPN
ejpam-6522	120	4	]	]	PUNCT
ejpam-6522	120	5	unit	unit	NOUN
ejpam-6522	120	6	references	reference	VERB
ejpam-6522	120	7	aquatic	aquatic	ADJ
ejpam-6522	120	8	stage	stage	NOUN
ejpam-6522	120	9	’s	’s	ADV
ejpam-6522	120	10	carrying	carry	VERB
ejpam-6522	120	11	capacity	capacity	NOUN
ejpam-6522	120	12	k	k	PROPN
ejpam-6522	120	13	106[104	106[104	PROPN
ejpam-6522	120	14	,	,	PUNCT
ejpam-6522	120	15	108	108	NUM
ejpam-6522	120	16	]	]	PUNCT
ejpam-6522	120	17	aquatic	aquatic	ADJ
ejpam-6522	120	18	mosquito	mosquito	NOUN
ejpam-6522	121	1	[	[	X
ejpam-6522	121	2	38	38	NUM
ejpam-6522	121	3	]	]	PUNCT
ejpam-6522	121	4	egg	egg	NOUN
ejpam-6522	121	5	laying	lay	VERB
ejpam-6522	121	6	rate	rate	NOUN
ejpam-6522	121	7	for	for	ADP
ejpam-6522	121	8	wu	wu	PROPN
ejpam-6522	121	9	mosquitoes	mosquito	NOUN
ejpam-6522	121	10	ϕw̄	ϕw̄	ADV
ejpam-6522	121	11	13[12	13[12	NUM
ejpam-6522	121	12	-	-	SYM
ejpam-6522	121	13	18	18	NUM
ejpam-6522	121	14	]	]	PUNCT
ejpam-6522	121	15	eggs	egg	NOUN
ejpam-6522	121	16	per	per	ADP
ejpam-6522	121	17	day	day	NOUN
ejpam-6522	121	18	[	[	X
ejpam-6522	121	19	39	39	NUM
ejpam-6522	121	20	,	,	PUNCT
ejpam-6522	121	21	40	40	NUM
ejpam-6522	121	22	]	]	PUNCT
ejpam-6522	121	23	egg	egg	NOUN
ejpam-6522	121	24	laying	lay	VERB
ejpam-6522	121	25	rate	rate	NOUN
ejpam-6522	121	26	for	for	ADP
ejpam-6522	121	27	wi	wi	PROPN
ejpam-6522	121	28	mosquitoes	mosquitoes	PROPN
ejpam-6522	121	29	ϕw	ϕw	PROPN
ejpam-6522	121	30	11[8	11[8	NOUN
ejpam-6522	121	31	-	-	SYM
ejpam-6522	121	32	12	12	NUM
ejpam-6522	121	33	]	]	PUNCT
ejpam-6522	121	34	eggs	egg	NOUN
ejpam-6522	121	35	per	per	ADP
ejpam-6522	121	36	day	day	NOUN
ejpam-6522	122	1	[	[	X
ejpam-6522	122	2	12	12	NUM
ejpam-6522	122	3	,	,	PUNCT
ejpam-6522	122	4	39	39	NUM
ejpam-6522	122	5	]	]	PUNCT
ejpam-6522	122	6	fraction	fraction	NOUN
ejpam-6522	122	7	of	of	ADP
ejpam-6522	122	8	eggs	egg	NOUN
ejpam-6522	122	9	which	which	PRON
ejpam-6522	122	10	is	be	AUX
ejpam-6522	122	11	wu	wu	PROPN
ejpam-6522	122	12	when	when	SCONJ
ejpam-6522	122	13	adult	adult	NOUN
ejpam-6522	122	14	female	female	ADJ
ejpam-6522	122	15	and	and	CCONJ
ejpam-6522	122	16	male	male	ADJ
ejpam-6522	122	17	mosquitoes	mosquito	NOUN
ejpam-6522	122	18	with	with	ADP
ejpam-6522	122	19	wi	wi	PROPN
ejpam-6522	122	20	mate	mate	NOUN
ejpam-6522	122	21	ρ1	ρ1	PROPN
ejpam-6522	122	22	0.05	0.05	NUM
ejpam-6522	123	1	[	[	X
ejpam-6522	123	2	0	0	NUM
ejpam-6522	123	3	-	-	SYM
ejpam-6522	123	4	0.11	0.11	NUM
ejpam-6522	123	5	]	]	PUNCT
ejpam-6522	123	6	dimensionless	dimensionless	NOUN
ejpam-6522	123	7	[	[	X
ejpam-6522	123	8	12	12	NUM
ejpam-6522	123	9	]	]	PUNCT
ejpam-6522	123	10	fraction	fraction	NOUN
ejpam-6522	123	11	of	of	ADP
ejpam-6522	123	12	eggs	egg	NOUN
ejpam-6522	123	13	which	which	PRON
ejpam-6522	123	14	is	be	AUX
ejpam-6522	123	15	wu	wu	PROPN
ejpam-6522	123	16	when	when	SCONJ
ejpam-6522	123	17	adult	adult	NOUN
ejpam-6522	123	18	wu	wu	PROPN
ejpam-6522	123	19	male	male	PROPN
ejpam-6522	123	20	and	and	CCONJ
ejpam-6522	123	21	wi	wi	PROPN
ejpam-6522	123	22	female	female	ADJ
ejpam-6522	123	23	mosquitoes	mosquito	NOUN
ejpam-6522	123	24	mate	mate	NOUN
ejpam-6522	123	25	ρ2	ρ2	NOUN
ejpam-6522	123	26	0.05[0	0.05[0	PROPN
ejpam-6522	123	27	-	-	PUNCT
ejpam-6522	123	28	0.1	0.1	NUM
ejpam-6522	123	29	]	]	PUNCT
ejpam-6522	123	30	dimensionless	dimensionless	NOUN
ejpam-6522	123	31	[	[	X
ejpam-6522	123	32	12	12	NUM
ejpam-6522	123	33	]	]	PUNCT
ejpam-6522	123	34	per	per	ADP
ejpam-6522	123	35	capita	capita	NOUN
ejpam-6522	123	36	reduction	reduction	NOUN
ejpam-6522	123	37	of	of	ADP
ejpam-6522	123	38	wolbachia	wolbachia	NOUN
ejpam-6522	123	39	infection	infection	NOUN
ejpam-6522	123	40	σ	σ	PROPN
ejpam-6522	123	41	0.04[0	0.04[0	PROPN
ejpam-6522	123	42	-	-	SYM
ejpam-6522	123	43	0.1	0.1	NUM
ejpam-6522	123	44	]	]	PUNCT
ejpam-6522	123	45	per	per	ADP
ejpam-6522	123	46	day	day	NOUN
ejpam-6522	123	47	[	[	X
ejpam-6522	123	48	38	38	NUM
ejpam-6522	123	49	]	]	PUNCT
ejpam-6522	123	50	fraction	fraction	NOUN
ejpam-6522	123	51	of	of	ADP
ejpam-6522	123	52	eggs	egg	NOUN
ejpam-6522	123	53	that	that	PRON
ejpam-6522	123	54	develop	develop	VERB
ejpam-6522	123	55	as	as	ADP
ejpam-6522	123	56	females	female	NOUN
ejpam-6522	123	57	a	a	DET
ejpam-6522	123	58	0.5[0.34	0.5[0.34	NOUN
ejpam-6522	123	59	-	-	PUNCT
ejpam-6522	123	60	0.6	0.6	NUM
ejpam-6522	123	61	]	]	PUNCT
ejpam-6522	123	62	dimensionless	dimensionless	NOUN
ejpam-6522	123	63	[	[	X
ejpam-6522	123	64	36	36	NUM
ejpam-6522	123	65	,	,	PUNCT
ejpam-6522	123	66	41	41	NUM
ejpam-6522	123	67	]	]	PUNCT
ejpam-6522	123	68	per	per	ADP
ejpam-6522	123	69	capita	capita	X
ejpam-6522	123	70	maturation	maturation	NOUN
ejpam-6522	123	71	rate	rate	NOUN
ejpam-6522	123	72	ψ	ψ	ADP
ejpam-6522	123	73	0.11	0.11	NUM
ejpam-6522	123	74	[	[	PUNCT
ejpam-6522	123	75	0.1	0.1	NUM
ejpam-6522	123	76	-	-	SYM
ejpam-6522	123	77	0.12	0.12	NUM
ejpam-6522	123	78	]	]	PUNCT
ejpam-6522	123	79	per	per	ADP
ejpam-6522	123	80	day	day	NOUN
ejpam-6522	123	81	[	[	X
ejpam-6522	123	82	12	12	NUM
ejpam-6522	123	83	,	,	PUNCT
ejpam-6522	123	84	39	39	NUM
ejpam-6522	123	85	]	]	PUNCT
ejpam-6522	123	86	per	per	ADP
ejpam-6522	123	87	capita	capita	X
ejpam-6522	123	88	aquatic	aquatic	ADJ
ejpam-6522	123	89	death	death	NOUN
ejpam-6522	123	90	rate	rate	NOUN
ejpam-6522	123	91	µa	µa	ADP
ejpam-6522	123	92	0.02	0.02	NUM
ejpam-6522	123	93	per	per	ADP
ejpam-6522	123	94	day	day	NOUN
ejpam-6522	123	95	[	[	X
ejpam-6522	123	96	18	18	NUM
ejpam-6522	123	97	]	]	SYM
ejpam-6522	123	98	per	per	ADP
ejpam-6522	123	99	-	-	PUNCT
ejpam-6522	123	100	capita	capita	NOUN
ejpam-6522	123	101	mortality	mortality	NOUN
ejpam-6522	123	102	rate	rate	NOUN
ejpam-6522	123	103	of	of	ADP
ejpam-6522	123	104	wu	wu	PROPN
ejpam-6522	123	105	mosquitoes	mosquito	NOUN
ejpam-6522	123	106	µw̄	µw̄	ADP
ejpam-6522	123	107	0.061[0.02	0.061[0.02	PROPN
ejpam-6522	123	108	-	-	PUNCT
ejpam-6522	123	109	0.09	0.09	NUM
ejpam-6522	123	110	]	]	PUNCT
ejpam-6522	123	111	per	per	ADP
ejpam-6522	123	112	day	day	NOUN
ejpam-6522	123	113	[	[	X
ejpam-6522	123	114	12	12	NUM
ejpam-6522	123	115	,	,	PUNCT
ejpam-6522	123	116	39	39	NUM
ejpam-6522	123	117	]	]	PUNCT
ejpam-6522	123	118	per	per	ADP
ejpam-6522	123	119	-	-	PUNCT
ejpam-6522	123	120	capita	capita	NOUN
ejpam-6522	123	121	mortality	mortality	NOUN
ejpam-6522	123	122	rate	rate	NOUN
ejpam-6522	123	123	of	of	ADP
ejpam-6522	123	124	wi	wi	PROPN
ejpam-6522	123	125	mosquitoes	mosquitoe	VERB
ejpam-6522	123	126	µw	µw	PROPN
ejpam-6522	123	127	0.068[0.03	0.068[0.03	PROPN
ejpam-6522	123	128	-	-	PUNCT
ejpam-6522	123	129	0.14	0.14	NUM
ejpam-6522	123	130	]	]	PUNCT
ejpam-6522	123	131	per	per	ADP
ejpam-6522	123	132	day	day	NOUN
ejpam-6522	123	133	[	[	X
ejpam-6522	123	134	12	12	NUM
ejpam-6522	123	135	,	,	PUNCT
ejpam-6522	123	136	42	42	NUM
ejpam-6522	123	137	]	]	PUNCT
ejpam-6522	123	138	table	table	NOUN
ejpam-6522	123	139	1	1	NUM
ejpam-6522	123	140	:	:	PUNCT
ejpam-6522	123	141	overview	overview	NOUN
ejpam-6522	123	142	of	of	ADP
ejpam-6522	123	143	model	model	NOUN
ejpam-6522	123	144	parameters	parameter	NOUN
ejpam-6522	123	145	and	and	CCONJ
ejpam-6522	123	146	their	their	PRON
ejpam-6522	123	147	corresponding	corresponding	ADJ
ejpam-6522	123	148	descriptions	description	NOUN
ejpam-6522	123	149	3	3	NUM
ejpam-6522	123	150	.	.	X
ejpam-6522	123	151	positivity	positivity	NOUN
ejpam-6522	123	152	and	and	CCONJ
ejpam-6522	123	153	boundedness	boundedness	NOUN
ejpam-6522	123	154	of	of	ADP
ejpam-6522	123	155	solutions	solution	NOUN
ejpam-6522	123	156	establishing	establish	VERB
ejpam-6522	123	157	the	the	DET
ejpam-6522	123	158	positivity	positivity	NOUN
ejpam-6522	123	159	and	and	CCONJ
ejpam-6522	123	160	boundedness	boundedness	NOUN
ejpam-6522	123	161	of	of	ADP
ejpam-6522	123	162	all	all	DET
ejpam-6522	123	163	solutions	solution	NOUN
ejpam-6522	123	164	of	of	ADP
ejpam-6522	123	165	the	the	DET
ejpam-6522	123	166	model	model	NOUN
ejpam-6522	123	167	will	will	AUX
ejpam-6522	123	168	be	be	AUX
ejpam-6522	123	169	significant	significant	ADJ
ejpam-6522	123	170	because	because	SCONJ
ejpam-6522	123	171	the	the	DET
ejpam-6522	123	172	problem	problem	NOUN
ejpam-6522	123	173	is	be	AUX
ejpam-6522	123	174	a	a	DET
ejpam-6522	123	175	biological	biological	ADJ
ejpam-6522	123	176	model	model	NOUN
ejpam-6522	123	177	,	,	PUNCT
ejpam-6522	123	178	which	which	PRON
ejpam-6522	123	179	means	mean	VERB
ejpam-6522	123	180	that	that	SCONJ
ejpam-6522	123	181	all	all	PRON
ejpam-6522	123	182	of	of	ADP
ejpam-6522	123	183	the	the	DET
ejpam-6522	123	184	solutions	solution	NOUN
ejpam-6522	123	185	of	of	ADP
ejpam-6522	123	186	the	the	DET
ejpam-6522	123	187	system	system	NOUN
ejpam-6522	123	188	(	(	PUNCT
ejpam-6522	123	189	1	1	X
ejpam-6522	123	190	)	)	PUNCT
ejpam-6522	123	191	should	should	AUX
ejpam-6522	123	192	remain	remain	VERB
ejpam-6522	123	193	non	non	ADJ
ejpam-6522	123	194	-	-	ADJ
ejpam-6522	123	195	negative	negative	ADJ
ejpam-6522	123	196	and	and	CCONJ
ejpam-6522	123	197	bounded	bound	VERB
ejpam-6522	123	198	∀t	∀t	PROPN
ejpam-6522	123	199	≥	≥	PROPN
ejpam-6522	123	200	0	0	NUM
ejpam-6522	123	201	.	.	PUNCT
ejpam-6522	124	1	first	first	ADV
ejpam-6522	124	2	,	,	PUNCT
ejpam-6522	124	3	from	from	ADP
ejpam-6522	124	4	a	a	DET
ejpam-6522	124	5	biological	biological	ADJ
ejpam-6522	124	6	perspective	perspective	NOUN
ejpam-6522	124	7	,	,	PUNCT
ejpam-6522	124	8	the	the	DET
ejpam-6522	124	9	initial	initial	ADJ
ejpam-6522	124	10	data	datum	NOUN
ejpam-6522	124	11	qw̄(0	qw̄(0	NOUN
ejpam-6522	124	12	)	)	PUNCT
ejpam-6522	124	13	,	,	PUNCT
ejpam-6522	124	14	qw(0	qw(0	NOUN
ejpam-6522	124	15	)	)	PUNCT
ejpam-6522	124	16	,	,	PUNCT
ejpam-6522	124	17	fw̄(0	fw̄(0	NOUN
ejpam-6522	124	18	)	)	PUNCT
ejpam-6522	124	19	,	,	PUNCT
ejpam-6522	124	20	and	and	CCONJ
ejpam-6522	124	21	fw(0	fw(0	NOUN
ejpam-6522	124	22	)	)	PUNCT
ejpam-6522	124	23	must	must	AUX
ejpam-6522	124	24	be	be	AUX
ejpam-6522	124	25	larger	large	ADJ
ejpam-6522	124	26	than	than	ADP
ejpam-6522	124	27	or	or	CCONJ
ejpam-6522	124	28	equal	equal	ADJ
ejpam-6522	124	29	to	to	ADP
ejpam-6522	124	30	zero	zero	NUM
ejpam-6522	124	31	.	.	PUNCT
ejpam-6522	125	1	for	for	ADP
ejpam-6522	125	2	the	the	DET
ejpam-6522	125	3	positivity	positivity	NOUN
ejpam-6522	125	4	,	,	PUNCT
ejpam-6522	125	5	consider	consider	VERB
ejpam-6522	125	6	system	system	NOUN
ejpam-6522	125	7	(	(	PUNCT
ejpam-6522	125	8	1	1	NUM
ejpam-6522	125	9	)	)	PUNCT
ejpam-6522	125	10	in	in	ADP
ejpam-6522	125	11	the	the	DET
ejpam-6522	125	12	form	form	NOUN
ejpam-6522	125	13	:	:	PUNCT
ejpam-6522	125	14	cdαqw̄|qw̄=0	cdαqw̄|qw̄=0	X
ejpam-6522	126	1	=	=	PUNCT
ejpam-6522	127	1	[	[	PUNCT
ejpam-6522	127	2	ϕw̄f	ϕw̄f	X
ejpam-6522	127	3	2	2	NUM
ejpam-6522	127	4	w̄	w̄	NOUN
ejpam-6522	127	5	+	+	CCONJ
ejpam-6522	127	6	ρ2ϕwfwfw̄	ρ2ϕwfwfw̄	ADJ
ejpam-6522	127	7	fw̄	fw̄	NOUN
ejpam-6522	127	8	+	+	CCONJ
ejpam-6522	127	9	fw	fw	X
ejpam-6522	127	10	]	]	X
ejpam-6522	127	11	(	(	PUNCT
ejpam-6522	127	12	1−	1−	NUM
ejpam-6522	127	13	q	q	PROPN
ejpam-6522	127	14	k	k	NOUN
ejpam-6522	127	15	)	)	PUNCT
ejpam-6522	128	1	⩾	⩾	PROPN
ejpam-6522	128	2	0	0	NUM
ejpam-6522	128	3	,	,	PUNCT
ejpam-6522	128	4	cdαqw|qw=0	cdαqw|qw=0	PROPN
ejpam-6522	129	1	=	=	PUNCT
ejpam-6522	129	2	[	[	PUNCT
ejpam-6522	129	3	ϕwf	ϕwf	NOUN
ejpam-6522	129	4	2	2	NUM
ejpam-6522	129	5	w	w	NOUN
ejpam-6522	129	6	+	+	CCONJ
ejpam-6522	129	7	(	(	PUNCT
ejpam-6522	129	8	1−	1−	NUM
ejpam-6522	129	9	ρ2)ϕwfwfw̄	ρ2)ϕwfwfw̄	NOUN
ejpam-6522	129	10	fw̄	fw̄	NOUN
ejpam-6522	129	11	+	+	CCONJ
ejpam-6522	129	12	fw	fw	X
ejpam-6522	129	13	]	]	X
ejpam-6522	129	14	(	(	PUNCT
ejpam-6522	129	15	1−	1−	NUM
ejpam-6522	129	16	q	q	PROPN
ejpam-6522	129	17	k	k	NOUN
ejpam-6522	129	18	)	)	PUNCT
ejpam-6522	130	1	⩾	⩾	PROPN
ejpam-6522	130	2	0	0	NUM
ejpam-6522	130	3	,	,	PUNCT
ejpam-6522	130	4	cdαfw̄|fw̄=0	cdαfw̄|fw̄=0	PROPN
ejpam-6522	130	5	=	=	SYM
ejpam-6522	130	6	ψ	ψ	X
ejpam-6522	130	7	2	2	NUM
ejpam-6522	130	8	qw̄	qw̄	NOUN
ejpam-6522	130	9	⩾	⩾	NOUN
ejpam-6522	130	10	0	0	NUM
ejpam-6522	130	11	,	,	PUNCT
ejpam-6522	130	12	and	and	CCONJ
ejpam-6522	130	13	cdαfw|fw=0	cdαfw|fw=0	PROPN
ejpam-6522	130	14	=	=	SYM
ejpam-6522	130	15	ψ	ψ	PROPN
ejpam-6522	130	16	2	2	NUM
ejpam-6522	130	17	qw	qw	NOUN
ejpam-6522	130	18	⩾	⩾	NOUN
ejpam-6522	130	19	0	0	NUM
ejpam-6522	130	20	.	.	PUNCT
ejpam-6522	131	1	according	accord	VERB
ejpam-6522	131	2	to	to	ADP
ejpam-6522	131	3	lemmas	lemmas	PROPN
ejpam-6522	131	4	5	5	NUM
ejpam-6522	131	5	and	and	CCONJ
ejpam-6522	131	6	6	6	NUM
ejpam-6522	131	7	in	in	ADP
ejpam-6522	131	8	[	[	X
ejpam-6522	131	9	43	43	NUM
ejpam-6522	131	10	]	]	PUNCT
ejpam-6522	131	11	,	,	PUNCT
ejpam-6522	131	12	all	all	DET
ejpam-6522	131	13	the	the	DET
ejpam-6522	131	14	solutions	solution	NOUN
ejpam-6522	131	15	of	of	ADP
ejpam-6522	131	16	the	the	DET
ejpam-6522	131	17	model	model	NOUN
ejpam-6522	131	18	remain	remain	VERB
ejpam-6522	131	19	non	non	ADJ
ejpam-6522	131	20	-	-	ADJ
ejpam-6522	131	21	negative	negative	ADJ
ejpam-6522	131	22	.	.	PUNCT
ejpam-6522	132	1	next	next	ADV
ejpam-6522	132	2	,	,	PUNCT
ejpam-6522	132	3	we	we	PRON
ejpam-6522	132	4	show	show	VERB
ejpam-6522	132	5	the	the	DET
ejpam-6522	132	6	boundedness	boundedness	NOUN
ejpam-6522	132	7	of	of	ADP
ejpam-6522	132	8	the	the	DET
ejpam-6522	132	9	solutions	solution	NOUN
ejpam-6522	132	10	.	.	PUNCT
ejpam-6522	133	1	following	follow	VERB
ejpam-6522	133	2	[	[	X
ejpam-6522	133	3	44	44	NUM
ejpam-6522	133	4	]	]	PUNCT
ejpam-6522	133	5	,	,	PUNCT
ejpam-6522	133	6	we	we	PRON
ejpam-6522	133	7	analyze	analyze	VERB
ejpam-6522	133	8	the	the	DET
ejpam-6522	133	9	entire	entire	ADJ
ejpam-6522	133	10	population	population	NOUN
ejpam-6522	133	11	and	and	CCONJ
ejpam-6522	133	12	define	define	VERB
ejpam-6522	133	13	the	the	DET
ejpam-6522	133	14	total	total	ADJ
ejpam-6522	133	15	population	population	NOUN
ejpam-6522	133	16	as	as	ADP
ejpam-6522	133	17	:	:	PUNCT
ejpam-6522	133	18	m(t	m(t	NOUN
ejpam-6522	133	19	)	)	PUNCT
ejpam-6522	133	20	=	=	SYM
ejpam-6522	133	21	qw̄(t	qw̄(t	X
ejpam-6522	133	22	)	)	PUNCT
ejpam-6522	133	23	+	+	NOUN
ejpam-6522	133	24	qw(t	qw(t	NOUN
ejpam-6522	133	25	)	)	PUNCT
ejpam-6522	133	26	+	+	CCONJ
ejpam-6522	133	27	fw̄(t	fw̄(t	NUM
ejpam-6522	133	28	)	)	PUNCT
ejpam-6522	133	29	+	+	NUM
ejpam-6522	133	30	fw(t	fw(t	NOUN
ejpam-6522	133	31	)	)	PUNCT
ejpam-6522	133	32	.	.	PUNCT
ejpam-6522	134	1	by	by	ADP
ejpam-6522	134	2	adding	add	VERB
ejpam-6522	134	3	all	all	DET
ejpam-6522	134	4	equations	equation	NOUN
ejpam-6522	134	5	of	of	ADP
ejpam-6522	134	6	the	the	DET
ejpam-6522	134	7	system	system	NOUN
ejpam-6522	134	8	(	(	PUNCT
ejpam-6522	134	9	1	1	NUM
ejpam-6522	134	10	)	)	PUNCT
ejpam-6522	134	11	,	,	PUNCT
ejpam-6522	134	12	we	we	PRON
ejpam-6522	134	13	will	will	AUX
ejpam-6522	134	14	have	have	VERB
ejpam-6522	134	15	cdαm(t	cdαm(t	NOUN
ejpam-6522	134	16	)	)	PUNCT
ejpam-6522	135	1	=	=	VERB
ejpam-6522	135	2	cdαqw̄(t	cdαqw̄(t	NOUN
ejpam-6522	135	3	)	)	PUNCT
ejpam-6522	136	1	+	+	NUM
ejpam-6522	136	2	cdαqw(t	cdαqw(t	NOUN
ejpam-6522	136	3	)	)	PUNCT
ejpam-6522	136	4	+	+	CCONJ
ejpam-6522	136	5	cdαfw̄(t	cdαfw̄(t	NOUN
ejpam-6522	136	6	)	)	PUNCT
ejpam-6522	137	1	+	+	PUNCT
ejpam-6522	137	2	cdαfw(t	cdαfw(t	NOUN
ejpam-6522	137	3	)	)	PUNCT
ejpam-6522	137	4	m.	m.	NOUN
ejpam-6522	137	5	yar	yar	PROPN
ejpam-6522	137	6	,	,	PUNCT
ejpam-6522	137	7	s.	s.	PROPN
ejpam-6522	137	8	javeed	javeed	PROPN
ejpam-6522	137	9	,	,	PUNCT
ejpam-6522	137	10	t.	t.	PROPN
ejpam-6522	137	11	abbas	abbas	PROPN
ejpam-6522	137	12	khan	khan	PROPN
ejpam-6522	137	13	/	/	SYM
ejpam-6522	137	14	eur	eur	PROPN
ejpam-6522	137	15	.	.	PUNCT
ejpam-6522	138	1	j.	j.	PROPN
ejpam-6522	138	2	pure	pure	PROPN
ejpam-6522	138	3	appl	appl	PROPN
ejpam-6522	138	4	.	.	PROPN
ejpam-6522	138	5	math	math	PROPN
ejpam-6522	138	6	,	,	PUNCT
ejpam-6522	138	7	18	18	NUM
ejpam-6522	138	8	(	(	PUNCT
ejpam-6522	138	9	3	3	NUM
ejpam-6522	138	10	)	)	PUNCT
ejpam-6522	138	11	(	(	PUNCT
ejpam-6522	138	12	2025	2025	NUM
ejpam-6522	138	13	)	)	PUNCT
ejpam-6522	138	14	,	,	PUNCT
ejpam-6522	138	15	6522	6522	NUM
ejpam-6522	138	16	6	6	NUM
ejpam-6522	138	17	of	of	ADP
ejpam-6522	138	18	23	23	NUM
ejpam-6522	138	19	=	=	SYM
ejpam-6522	138	20	[	[	PUNCT
ejpam-6522	138	21	ϕw̄f	ϕw̄f	X
ejpam-6522	138	22	2	2	NUM
ejpam-6522	138	23	w̄	w̄	NOUN
ejpam-6522	138	24	+	+	CCONJ
ejpam-6522	138	25	ϕwfwfw̄	ϕwfwfw̄	PROPN
ejpam-6522	138	26	+	+	CCONJ
ejpam-6522	138	27	ϕwf	ϕwf	PROPN
ejpam-6522	138	28	2	2	NUM
ejpam-6522	138	29	w	w	NOUN
ejpam-6522	138	30	fw̄	fw̄	NOUN
ejpam-6522	138	31	+	+	X
ejpam-6522	138	32	fw	fw	X
ejpam-6522	138	33	]	]	X
ejpam-6522	138	34	(	(	PUNCT
ejpam-6522	138	35	1−	1−	NUM
ejpam-6522	138	36	q	q	PROPN
ejpam-6522	138	37	k	k	PROPN
ejpam-6522	138	38	)	)	PUNCT
ejpam-6522	138	39	−	−	PROPN
ejpam-6522	138	40	µa(qw̄	µa(qw̄	X
ejpam-6522	139	1	+	+	NOUN
ejpam-6522	139	2	qw	qw	NOUN
ejpam-6522	139	3	)	)	PUNCT
ejpam-6522	139	4	−	−	NOUN
ejpam-6522	139	5	ψ	ψ	SYM
ejpam-6522	139	6	2	2	NUM
ejpam-6522	139	7	(	(	PUNCT
ejpam-6522	139	8	qw̄	qw̄	NOUN
ejpam-6522	139	9	+	+	NOUN
ejpam-6522	139	10	qw)−	qw)−	VERB
ejpam-6522	139	11	µw̄fw̄	µw̄fw̄	ADJ
ejpam-6522	139	12	−	−	PROPN
ejpam-6522	139	13	µwfw	µwfw	NOUN
ejpam-6522	139	14	.	.	PUNCT
ejpam-6522	140	1	(	(	PUNCT
ejpam-6522	140	2	4	4	NUM
ejpam-6522	140	3	)	)	PUNCT
ejpam-6522	140	4	since	since	SCONJ
ejpam-6522	140	5	qw̄	qw̄	NOUN
ejpam-6522	140	6	<	<	X
ejpam-6522	140	7	k	k	PROPN
ejpam-6522	140	8	,	,	PUNCT
ejpam-6522	140	9	qw	qw	X
ejpam-6522	140	10	<	<	X
ejpam-6522	140	11	k	k	X
ejpam-6522	140	12	,	,	PUNCT
ejpam-6522	140	13	it	it	PRON
ejpam-6522	140	14	follows	follow	VERB
ejpam-6522	140	15	from	from	ADP
ejpam-6522	140	16	model(1	model(1	NOUN
ejpam-6522	140	17	)	)	PUNCT
ejpam-6522	140	18	,	,	PUNCT
ejpam-6522	140	19	fw̄	fw̄	ADJ
ejpam-6522	140	20	⩽	⩽	PROPN
ejpam-6522	140	21	ψk	ψk	ADP
ejpam-6522	140	22	2µ1	2µ1	NUM
ejpam-6522	140	23	and	and	CCONJ
ejpam-6522	140	24	fw	fw	PROPN
ejpam-6522	140	25	⩽	⩽	PROPN
ejpam-6522	140	26	ψk	ψk	ADP
ejpam-6522	140	27	2µ1	2µ1	NUM
ejpam-6522	140	28	,	,	PUNCT
ejpam-6522	140	29	where	where	SCONJ
ejpam-6522	140	30	µ1	µ1	PROPN
ejpam-6522	140	31	=	=	SYM
ejpam-6522	140	32	min(µw̄	min(µw̄	PROPN
ejpam-6522	140	33	,	,	PUNCT
ejpam-6522	140	34	µw	µw	PROPN
ejpam-6522	140	35	,	,	PUNCT
ejpam-6522	140	36	µa	µa	NOUN
ejpam-6522	140	37	)	)	PUNCT
ejpam-6522	140	38	.	.	PUNCT
ejpam-6522	141	1	thus	thus	ADV
ejpam-6522	141	2	,	,	PUNCT
ejpam-6522	141	3	eq	eq	ADJ
ejpam-6522	141	4	.	.	PUNCT
ejpam-6522	142	1	(	(	PUNCT
ejpam-6522	142	2	4	4	X
ejpam-6522	142	3	)	)	PUNCT
ejpam-6522	142	4	becomes	become	VERB
ejpam-6522	142	5	cdαm(t	cdαm(t	PROPN
ejpam-6522	142	6	)	)	PUNCT
ejpam-6522	142	7	⩽	⩽	NOUN
ejpam-6522	143	1	λ3	λ3	PROPN
ejpam-6522	143	2	−	−	PROPN
ejpam-6522	143	3	µ1m(t	µ1m(t	PROPN
ejpam-6522	143	4	)	)	PUNCT
ejpam-6522	143	5	,	,	PUNCT
ejpam-6522	143	6	where	where	SCONJ
ejpam-6522	143	7	,	,	PUNCT
ejpam-6522	143	8	λ3	λ3	PROPN
ejpam-6522	143	9	=	=	SYM
ejpam-6522	143	10	ψk(ϕw̄+2ϕw	ψk(ϕw̄+2ϕw	PROPN
ejpam-6522	143	11	)	)	PUNCT
ejpam-6522	143	12	4µ1	4µ1	NUM
ejpam-6522	143	13	.	.	PUNCT
ejpam-6522	144	1	so	so	ADV
ejpam-6522	144	2	we	we	PRON
ejpam-6522	144	3	deduce	deduce	VERB
ejpam-6522	144	4	m(t	m(t	NOUN
ejpam-6522	144	5	)	)	PUNCT
ejpam-6522	144	6	⩽m(0)eα(−µ1	⩽m(0)eα(−µ1	VERB
ejpam-6522	144	7	·	·	PUNCT
ejpam-6522	144	8	tα	tα	NUM
ejpam-6522	144	9	)	)	PUNCT
ejpam-6522	144	10	+	+	CCONJ
ejpam-6522	145	1	λ3	λ3	PROPN
ejpam-6522	145	2	µ1	µ1	PROPN
ejpam-6522	145	3	(	(	PUNCT
ejpam-6522	145	4	1−	1−	NUM
ejpam-6522	145	5	eα(−µ1	eα(−µ1	PROPN
ejpam-6522	145	6	·	·	PUNCT
ejpam-6522	145	7	tα	tα	PROPN
ejpam-6522	145	8	)	)	PUNCT
ejpam-6522	145	9	)	)	PUNCT
ejpam-6522	145	10	.	.	PUNCT
ejpam-6522	146	1	where	where	SCONJ
ejpam-6522	146	2	eα	eα	NOUN
ejpam-6522	146	3	is	be	AUX
ejpam-6522	146	4	the	the	DET
ejpam-6522	146	5	mittag	mittag	ADJ
ejpam-6522	146	6	-	-	PUNCT
ejpam-6522	146	7	leffler	leffler	NOUN
ejpam-6522	146	8	function	function	NOUN
ejpam-6522	146	9	of	of	ADP
ejpam-6522	146	10	parameter	parameter	PROPN
ejpam-6522	146	11	α	α	PROPN
ejpam-6522	146	12	.	.	PUNCT
ejpam-6522	147	1	since	since	SCONJ
ejpam-6522	147	2	0	0	NUM
ejpam-6522	147	3	<	<	X
ejpam-6522	147	4	eα(−µ1	eα(−µ1	PROPN
ejpam-6522	147	5	·	·	PUNCT
ejpam-6522	147	6	tα	tα	PROPN
ejpam-6522	147	7	)	)	PUNCT
ejpam-6522	147	8	⩽	⩽	NOUN
ejpam-6522	147	9	1	1	NUM
ejpam-6522	147	10	and	and	CCONJ
ejpam-6522	147	11	1	1	NUM
ejpam-6522	147	12	−	−	NOUN
ejpam-6522	147	13	eα(−µ1	eα(−µ1	NOUN
ejpam-6522	147	14	·	·	PUNCT
ejpam-6522	147	15	tα	tα	PROPN
ejpam-6522	147	16	)	)	PUNCT
ejpam-6522	147	17	⩽	⩽	NOUN
ejpam-6522	147	18	1	1	X
ejpam-6522	147	19	.	.	PUNCT
ejpam-6522	147	20	we	we	PRON
ejpam-6522	147	21	obtain	obtain	VERB
ejpam-6522	147	22	m(t	m(t	NOUN
ejpam-6522	147	23	)	)	PUNCT
ejpam-6522	147	24	⩽	⩽	NOUN
ejpam-6522	147	25	m(0	m(0	PROPN
ejpam-6522	147	26	)	)	PUNCT
ejpam-6522	147	27	+	+	CCONJ
ejpam-6522	147	28	λ3	λ3	PROPN
ejpam-6522	147	29	µ1	µ1	PROPN
ejpam-6522	147	30	.	.	PUNCT
ejpam-6522	148	1	therefore	therefore	ADV
ejpam-6522	148	2	,	,	PUNCT
ejpam-6522	148	3	the	the	DET
ejpam-6522	148	4	solutions	solution	NOUN
ejpam-6522	148	5	of	of	ADP
ejpam-6522	148	6	model	model	NOUN
ejpam-6522	148	7	(	(	PUNCT
ejpam-6522	148	8	1	1	X
ejpam-6522	148	9	)	)	PUNCT
ejpam-6522	148	10	are	be	AUX
ejpam-6522	148	11	uniformly	uniformly	ADV
ejpam-6522	148	12	bounded	bound	VERB
ejpam-6522	148	13	.	.	PUNCT
ejpam-6522	149	1	4	4	X
ejpam-6522	149	2	.	.	X
ejpam-6522	149	3	equilibrium	equilibrium	NOUN
ejpam-6522	149	4	points	point	VERB
ejpam-6522	149	5	the	the	DET
ejpam-6522	149	6	equilibrium	equilibrium	NOUN
ejpam-6522	149	7	points	point	NOUN
ejpam-6522	149	8	of	of	ADP
ejpam-6522	149	9	the	the	DET
ejpam-6522	149	10	non	non	ADJ
ejpam-6522	149	11	-	-	ADJ
ejpam-6522	149	12	integer	integer	ADJ
ejpam-6522	149	13	order	order	NOUN
ejpam-6522	149	14	system	system	NOUN
ejpam-6522	149	15	(	(	PUNCT
ejpam-6522	149	16	1	1	X
ejpam-6522	149	17	)	)	PUNCT
ejpam-6522	149	18	are	be	AUX
ejpam-6522	149	19	obtained	obtain	VERB
ejpam-6522	149	20	by	by	ADP
ejpam-6522	149	21	solving	solve	VERB
ejpam-6522	149	22	the	the	DET
ejpam-6522	149	23	corresponding	corresponding	ADJ
ejpam-6522	149	24	nonlinear	nonlinear	ADJ
ejpam-6522	149	25	algebraic	algebraic	ADJ
ejpam-6522	149	26	system	system	NOUN
ejpam-6522	149	27	under	under	ADP
ejpam-6522	149	28	the	the	DET
ejpam-6522	149	29	conditions	condition	NOUN
ejpam-6522	149	30	cdαqw̄	cdαqw̄	NOUN
ejpam-6522	150	1	=	=	SYM
ejpam-6522	150	2	0	0	NUM
ejpam-6522	150	3	,	,	PUNCT
ejpam-6522	150	4	cdαqw	cdαqw	NOUN
ejpam-6522	150	5	=	=	SYM
ejpam-6522	150	6	0	0	NUM
ejpam-6522	150	7	,	,	PUNCT
ejpam-6522	150	8	cdαfw̄	cdαfw̄	NOUN
ejpam-6522	150	9	=	=	SYM
ejpam-6522	150	10	0	0	PUNCT
ejpam-6522	151	1	and	and	CCONJ
ejpam-6522	151	2	cdαfw	cdαfw	VERB
ejpam-6522	151	3	=	=	NOUN
ejpam-6522	151	4	0	0	X
ejpam-6522	151	5	.	.	PUNCT
ejpam-6522	152	1	the	the	DET
ejpam-6522	152	2	model	model	NOUN
ejpam-6522	152	3	(	(	PUNCT
ejpam-6522	152	4	1	1	NUM
ejpam-6522	152	5	)	)	PUNCT
ejpam-6522	152	6	,	,	PUNCT
ejpam-6522	152	7	with	with	ADP
ejpam-6522	152	8	ρ1	ρ1	NOUN
ejpam-6522	152	9	=	=	SYM
ejpam-6522	152	10	0	0	NUM
ejpam-6522	152	11	and	and	CCONJ
ejpam-6522	152	12	σ	σ	NUM
ejpam-6522	152	13	=	=	SYM
ejpam-6522	152	14	0	0	NUM
ejpam-6522	152	15	,	,	PUNCT
ejpam-6522	152	16	yields	yield	VERB
ejpam-6522	152	17	four	four	NUM
ejpam-6522	152	18	equilibrium	equilibrium	NOUN
ejpam-6522	152	19	points	point	NOUN
ejpam-6522	152	20	:	:	PUNCT
ejpam-6522	152	21	e1	e1	NOUN
ejpam-6522	152	22	=	=	SYM
ejpam-6522	152	23	(	(	PUNCT
ejpam-6522	152	24	0	0	NUM
ejpam-6522	152	25	,	,	PUNCT
ejpam-6522	152	26	0	0	NUM
ejpam-6522	152	27	,	,	PUNCT
ejpam-6522	152	28	0	0	NUM
ejpam-6522	152	29	,	,	PUNCT
ejpam-6522	152	30	0	0	NUM
ejpam-6522	152	31	)	)	PUNCT
ejpam-6522	152	32	demonstrating	demonstrate	VERB
ejpam-6522	152	33	the	the	DET
ejpam-6522	152	34	absence	absence	NOUN
ejpam-6522	152	35	of	of	ADP
ejpam-6522	152	36	mosquitoes	mosquito	NOUN
ejpam-6522	152	37	;	;	PUNCT
ejpam-6522	152	38	e2	e2	PROPN
ejpam-6522	152	39	=	=	SYM
ejpam-6522	152	40	(	(	PUNCT
ejpam-6522	152	41	q∗	q∗	PROPN
ejpam-6522	152	42	w̄	w̄	NOUN
ejpam-6522	152	43	,	,	PUNCT
ejpam-6522	152	44	0	0	NUM
ejpam-6522	152	45	,	,	PUNCT
ejpam-6522	152	46	f	f	PROPN
ejpam-6522	152	47	∗	∗	NOUN
ejpam-6522	152	48	w̄	w̄	NOUN
ejpam-6522	152	49	,	,	PUNCT
ejpam-6522	152	50	0	0	NUM
ejpam-6522	152	51	)	)	PUNCT
ejpam-6522	152	52	it	it	PRON
ejpam-6522	152	53	illustrates	illustrate	VERB
ejpam-6522	152	54	the	the	DET
ejpam-6522	152	55	dominance	dominance	NOUN
ejpam-6522	152	56	of	of	ADP
ejpam-6522	152	57	wu	wu	PROPN
ejpam-6522	152	58	mosquitoes	mosquito	NOUN
ejpam-6522	152	59	;	;	PUNCT
ejpam-6522	152	60	e3	e3	NOUN
ejpam-6522	152	61	=	=	SYM
ejpam-6522	152	62	(	(	PUNCT
ejpam-6522	152	63	0	0	NUM
ejpam-6522	152	64	,	,	PUNCT
ejpam-6522	152	65	q∗	q∗	PROPN
ejpam-6522	152	66	w	w	PROPN
ejpam-6522	152	67	,	,	PUNCT
ejpam-6522	152	68	0	0	NUM
ejpam-6522	152	69	,	,	PUNCT
ejpam-6522	152	70	f	f	PROPN
ejpam-6522	152	71	∗	∗	PROPN
ejpam-6522	152	72	w	w	NOUN
ejpam-6522	152	73	)	)	PUNCT
ejpam-6522	152	74	demonstrating	demonstrate	VERB
ejpam-6522	152	75	the	the	DET
ejpam-6522	152	76	existence	existence	NOUN
ejpam-6522	152	77	of	of	ADP
ejpam-6522	152	78	mosquitoes	mosquito	NOUN
ejpam-6522	152	79	with	with	ADP
ejpam-6522	152	80	wolbachia	wolbachia	NOUN
ejpam-6522	152	81	infection	infection	NOUN
ejpam-6522	152	82	and	and	CCONJ
ejpam-6522	152	83	e4	e4	PROPN
ejpam-6522	152	84	=	=	SYM
ejpam-6522	152	85	(	(	PUNCT
ejpam-6522	152	86	q∗	q∗	PROPN
ejpam-6522	152	87	w̄	w̄	NOUN
ejpam-6522	152	88	,	,	PUNCT
ejpam-6522	152	89	q	q	PROPN
ejpam-6522	152	90	∗	∗	PROPN
ejpam-6522	152	91	w	w	PROPN
ejpam-6522	152	92	,	,	PUNCT
ejpam-6522	152	93	f	f	PROPN
ejpam-6522	152	94	∗	∗	NOUN
ejpam-6522	152	95	w̄	w̄	PROPN
ejpam-6522	152	96	,	,	PUNCT
ejpam-6522	152	97	f	f	PROPN
ejpam-6522	152	98	∗	∗	PROPN
ejpam-6522	152	99	w	w	PROPN
ejpam-6522	152	100	)	)	PUNCT
ejpam-6522	152	101	showing	show	VERB
ejpam-6522	152	102	coexistence	coexistence	NOUN
ejpam-6522	152	103	of	of	ADP
ejpam-6522	152	104	both	both	DET
ejpam-6522	152	105	wu	wu	PROPN
ejpam-6522	152	106	and	and	CCONJ
ejpam-6522	152	107	wi	wi	PROPN
ejpam-6522	152	108	mosquitoes	mosquito	NOUN
ejpam-6522	152	109	.	.	PUNCT
ejpam-6522	153	1	determining	determine	VERB
ejpam-6522	153	2	the	the	DET
ejpam-6522	153	3	nature	nature	NOUN
ejpam-6522	153	4	of	of	ADP
ejpam-6522	153	5	stability	stability	NOUN
ejpam-6522	153	6	points	point	NOUN
ejpam-6522	153	7	is	be	AUX
ejpam-6522	153	8	important	important	ADJ
ejpam-6522	153	9	for	for	ADP
ejpam-6522	153	10	controlling	control	VERB
ejpam-6522	153	11	arboviral	arboviral	ADJ
ejpam-6522	153	12	infections	infection	NOUN
ejpam-6522	153	13	transmitted	transmit	VERB
ejpam-6522	153	14	by	by	ADP
ejpam-6522	153	15	aedes	aedes	PROPN
ejpam-6522	153	16	aegypti	aegypti	VERB
ejpam-6522	153	17	mosquitoes	mosquito	NOUN
ejpam-6522	153	18	.	.	PUNCT
ejpam-6522	154	1	4.1	4.1	NUM
ejpam-6522	154	2	.	.	PUNCT
ejpam-6522	155	1	no	no	DET
ejpam-6522	155	2	mosquitoes	mosquitoe	VERB
ejpam-6522	155	3	the	the	DET
ejpam-6522	155	4	equilibrium	equilibrium	NOUN
ejpam-6522	155	5	point	point	NOUN
ejpam-6522	155	6	e1	e1	PROPN
ejpam-6522	155	7	is	be	AUX
ejpam-6522	155	8	trivial	trivial	ADJ
ejpam-6522	155	9	but	but	CCONJ
ejpam-6522	155	10	uninteresting	uninteresting	ADJ
ejpam-6522	155	11	since	since	SCONJ
ejpam-6522	155	12	it	it	PRON
ejpam-6522	155	13	is	be	AUX
ejpam-6522	155	14	biologically	biologically	ADV
ejpam-6522	155	15	unrealistic	unrealistic	ADJ
ejpam-6522	155	16	.	.	PUNCT
ejpam-6522	156	1	however	however	ADV
ejpam-6522	156	2	,	,	PUNCT
ejpam-6522	156	3	by	by	ADP
ejpam-6522	156	4	looking	look	VERB
ejpam-6522	156	5	at	at	ADP
ejpam-6522	156	6	a	a	DET
ejpam-6522	156	7	particular	particular	ADJ
ejpam-6522	156	8	example	example	NOUN
ejpam-6522	156	9	in	in	ADP
ejpam-6522	156	10	which	which	PRON
ejpam-6522	156	11	there	there	PRON
ejpam-6522	156	12	is	be	VERB
ejpam-6522	156	13	no	no	DET
ejpam-6522	156	14	contact	contact	NOUN
ejpam-6522	156	15	between	between	ADP
ejpam-6522	156	16	wi	wi	PROPN
ejpam-6522	156	17	and	and	CCONJ
ejpam-6522	156	18	wu	wu	PROPN
ejpam-6522	156	19	mosquitoes	mosquito	NOUN
ejpam-6522	156	20	can	can	AUX
ejpam-6522	156	21	offer	offer	VERB
ejpam-6522	156	22	additional	additional	ADJ
ejpam-6522	156	23	insight	insight	NOUN
ejpam-6522	156	24	into	into	ADP
ejpam-6522	156	25	the	the	DET
ejpam-6522	156	26	dynamics	dynamic	NOUN
ejpam-6522	156	27	of	of	ADP
ejpam-6522	156	28	this	this	DET
ejpam-6522	156	29	steady	steady	ADJ
ejpam-6522	156	30	-	-	PUNCT
ejpam-6522	156	31	state	state	NOUN
ejpam-6522	156	32	solution	solution	NOUN
ejpam-6522	156	33	.	.	PUNCT
ejpam-6522	157	1	we	we	PRON
ejpam-6522	157	2	derived	derive	VERB
ejpam-6522	157	3	r0w̄	r0w̄	PUNCT
ejpam-6522	158	1	=	=	SYM
ejpam-6522	158	2	ϕw̄ψ	ϕw̄ψ	PROPN
ejpam-6522	158	3	2µw̄(µα	2µw̄(µα	PROPN
ejpam-6522	158	4	+	+	CCONJ
ejpam-6522	158	5	ψ	ψ	X
ejpam-6522	158	6	)	)	PUNCT
ejpam-6522	158	7	,	,	PUNCT
ejpam-6522	158	8	(	(	PUNCT
ejpam-6522	158	9	5	5	NUM
ejpam-6522	158	10	)	)	PUNCT
ejpam-6522	158	11	and	and	CCONJ
ejpam-6522	158	12	r0w	r0w	PROPN
ejpam-6522	158	13	=	=	PUNCT
ejpam-6522	159	1	ϕwψ	ϕwψ	PRON
ejpam-6522	159	2	2µw(µa	2µw(µa	NUM
ejpam-6522	159	3	+	+	CCONJ
ejpam-6522	159	4	ψ	ψ	X
ejpam-6522	159	5	)	)	PUNCT
ejpam-6522	159	6	,	,	PUNCT
ejpam-6522	159	7	(	(	PUNCT
ejpam-6522	159	8	6	6	NUM
ejpam-6522	159	9	)	)	PUNCT
ejpam-6522	159	10	which	which	PRON
ejpam-6522	159	11	represent	represent	VERB
ejpam-6522	159	12	threshold	threshold	NOUN
ejpam-6522	159	13	values	value	NOUN
ejpam-6522	159	14	determining	determine	VERB
ejpam-6522	159	15	whether	whether	SCONJ
ejpam-6522	159	16	each	each	DET
ejpam-6522	159	17	group	group	NOUN
ejpam-6522	159	18	will	will	AUX
ejpam-6522	159	19	survive	survive	VERB
ejpam-6522	159	20	or	or	CCONJ
ejpam-6522	159	21	go	go	VERB
ejpam-6522	159	22	extinct	extinct	ADJ
ejpam-6522	159	23	in	in	ADP
ejpam-6522	159	24	the	the	DET
ejpam-6522	159	25	absence	absence	NOUN
ejpam-6522	159	26	of	of	ADP
ejpam-6522	159	27	contact	contact	NOUN
ejpam-6522	159	28	.	.	PUNCT
ejpam-6522	160	1	in	in	ADP
ejpam-6522	160	2	the	the	DET
ejpam-6522	160	3	absence	absence	NOUN
ejpam-6522	160	4	of	of	ADP
ejpam-6522	160	5	contact	contact	NOUN
ejpam-6522	160	6	between	between	ADP
ejpam-6522	160	7	infected	infected	ADJ
ejpam-6522	160	8	and	and	CCONJ
ejpam-6522	160	9	uninfected	uninfected	ADJ
ejpam-6522	160	10	mosquitoes	mosquito	NOUN
ejpam-6522	160	11	,	,	PUNCT
ejpam-6522	160	12	the	the	DET
ejpam-6522	160	13	thresholds	threshold	NOUN
ejpam-6522	160	14	in	in	ADP
ejpam-6522	160	15	eqs	eqs	PROPN
ejpam-6522	160	16	.	.	PUNCT
ejpam-6522	161	1	(	(	PUNCT
ejpam-6522	161	2	5	5	NUM
ejpam-6522	161	3	)	)	PUNCT
ejpam-6522	161	4	and	and	CCONJ
ejpam-6522	161	5	(	(	PUNCT
ejpam-6522	161	6	6	6	NUM
ejpam-6522	161	7	)	)	PUNCT
ejpam-6522	161	8	are	be	AUX
ejpam-6522	161	9	obtained	obtain	VERB
ejpam-6522	161	10	from	from	ADP
ejpam-6522	161	11	the	the	DET
ejpam-6522	161	12	stability	stability	NOUN
ejpam-6522	161	13	criteria	criterion	NOUN
ejpam-6522	161	14	of	of	ADP
ejpam-6522	161	15	the	the	DET
ejpam-6522	161	16	appropriate	appropriate	ADJ
ejpam-6522	161	17	jacobian	jacobian	ADJ
ejpam-6522	161	18	matrix	matrix	NOUN
ejpam-6522	161	19	under	under	ADP
ejpam-6522	161	20	conditions	condition	NOUN
ejpam-6522	161	21	of	of	ADP
ejpam-6522	161	22	no	no	DET
ejpam-6522	161	23	contact	contact	NOUN
ejpam-6522	161	24	among	among	ADP
ejpam-6522	161	25	the	the	DET
ejpam-6522	161	26	two	two	NUM
ejpam-6522	161	27	groups	group	NOUN
ejpam-6522	161	28	of	of	ADP
ejpam-6522	161	29	mosquitoes	mosquito	NOUN
ejpam-6522	161	30	.	.	PUNCT
ejpam-6522	162	1	in	in	ADP
ejpam-6522	162	2	other	other	ADJ
ejpam-6522	162	3	m.	m.	NOUN
ejpam-6522	162	4	yar	yar	PROPN
ejpam-6522	162	5	,	,	PUNCT
ejpam-6522	162	6	s.	s.	PROPN
ejpam-6522	162	7	javeed	javeed	PROPN
ejpam-6522	162	8	,	,	PUNCT
ejpam-6522	162	9	t.	t.	PROPN
ejpam-6522	162	10	abbas	abbas	PROPN
ejpam-6522	162	11	khan	khan	PROPN
ejpam-6522	162	12	/	/	SYM
ejpam-6522	162	13	eur	eur	PROPN
ejpam-6522	162	14	.	.	PUNCT
ejpam-6522	163	1	j.	j.	PROPN
ejpam-6522	163	2	pure	pure	PROPN
ejpam-6522	163	3	appl	appl	PROPN
ejpam-6522	163	4	.	.	PROPN
ejpam-6522	163	5	math	math	PROPN
ejpam-6522	163	6	,	,	PUNCT
ejpam-6522	163	7	18	18	NUM
ejpam-6522	163	8	(	(	PUNCT
ejpam-6522	163	9	3	3	NUM
ejpam-6522	163	10	)	)	PUNCT
ejpam-6522	163	11	(	(	PUNCT
ejpam-6522	163	12	2025	2025	NUM
ejpam-6522	163	13	)	)	PUNCT
ejpam-6522	163	14	,	,	PUNCT
ejpam-6522	163	15	6522	6522	NUM
ejpam-6522	163	16	7	7	NUM
ejpam-6522	163	17	of	of	ADP
ejpam-6522	163	18	23	23	NUM
ejpam-6522	163	19	words	word	NOUN
ejpam-6522	163	20	,	,	PUNCT
ejpam-6522	163	21	each	each	DET
ejpam-6522	163	22	group	group	NOUN
ejpam-6522	163	23	is	be	AUX
ejpam-6522	163	24	autonomous	autonomous	ADJ
ejpam-6522	163	25	from	from	ADP
ejpam-6522	163	26	the	the	DET
ejpam-6522	163	27	others	other	NOUN
ejpam-6522	163	28	.	.	PUNCT
ejpam-6522	164	1	equivalent	equivalent	ADJ
ejpam-6522	164	2	methods	method	NOUN
ejpam-6522	164	3	for	for	ADP
ejpam-6522	164	4	the	the	DET
ejpam-6522	164	5	dynamics	dynamic	NOUN
ejpam-6522	164	6	explicitly	explicitly	ADV
ejpam-6522	164	7	including	include	VERB
ejpam-6522	164	8	the	the	DET
ejpam-6522	164	9	male	male	NOUN
ejpam-6522	164	10	mosquito	mosquito	ADJ
ejpam-6522	164	11	states	state	NOUN
ejpam-6522	164	12	were	be	AUX
ejpam-6522	164	13	presented	present	VERB
ejpam-6522	164	14	in	in	ADP
ejpam-6522	164	15	[	[	X
ejpam-6522	164	16	18	18	NUM
ejpam-6522	164	17	]	]	PUNCT
ejpam-6522	164	18	.	.	PUNCT
ejpam-6522	165	1	thus	thus	ADV
ejpam-6522	165	2	,	,	PUNCT
ejpam-6522	165	3	for	for	ADP
ejpam-6522	165	4	the	the	DET
ejpam-6522	165	5	model	model	NOUN
ejpam-6522	165	6	(	(	PUNCT
ejpam-6522	165	7	1	1	NUM
ejpam-6522	165	8	)	)	PUNCT
ejpam-6522	165	9	,	,	PUNCT
ejpam-6522	165	10	both	both	DET
ejpam-6522	165	11	populations	population	NOUN
ejpam-6522	165	12	are	be	AUX
ejpam-6522	165	13	extinguished	extinguish	VERB
ejpam-6522	165	14	when	when	SCONJ
ejpam-6522	165	15	r0w	r0w	PROPN
ejpam-6522	165	16	<	<	X
ejpam-6522	165	17	1	1	NUM
ejpam-6522	165	18	and	and	CCONJ
ejpam-6522	165	19	r0w̄	r0w̄	NOUN
ejpam-6522	165	20	<	<	X
ejpam-6522	165	21	1	1	NUM
ejpam-6522	165	22	,	,	PUNCT
ejpam-6522	165	23	as	as	SCONJ
ejpam-6522	165	24	the	the	DET
ejpam-6522	165	25	reproductive	reproductive	ADJ
ejpam-6522	165	26	parameters	parameter	NOUN
ejpam-6522	165	27	are	be	AUX
ejpam-6522	165	28	insufficient	insufficient	ADJ
ejpam-6522	165	29	to	to	PART
ejpam-6522	165	30	maintain	maintain	VERB
ejpam-6522	165	31	the	the	DET
ejpam-6522	165	32	populations	population	NOUN
ejpam-6522	165	33	.	.	PUNCT
ejpam-6522	166	1	furthermore	furthermore	ADV
ejpam-6522	166	2	,	,	PUNCT
ejpam-6522	166	3	given	give	VERB
ejpam-6522	166	4	that	that	SCONJ
ejpam-6522	166	5	the	the	DET
ejpam-6522	166	6	solutions	solution	NOUN
ejpam-6522	166	7	remain	remain	VERB
ejpam-6522	166	8	non	non	ADJ
ejpam-6522	166	9	-	-	ADJ
ejpam-6522	166	10	negative	negative	ADJ
ejpam-6522	166	11	for	for	ADP
ejpam-6522	166	12	non	non	ADJ
ejpam-6522	166	13	-	-	ADJ
ejpam-6522	166	14	negative	negative	ADJ
ejpam-6522	166	15	initial	initial	ADJ
ejpam-6522	166	16	conditions	condition	NOUN
ejpam-6522	166	17	,	,	PUNCT
ejpam-6522	166	18	the	the	DET
ejpam-6522	166	19	solutions	solution	NOUN
ejpam-6522	166	20	tend	tend	VERB
ejpam-6522	166	21	to	to	ADP
ejpam-6522	166	22	the	the	DET
ejpam-6522	166	23	no	no	DET
ejpam-6522	166	24	-	-	PUNCT
ejpam-6522	166	25	mosquito	mosquito	ADJ
ejpam-6522	166	26	equilibrium	equilibrium	NOUN
ejpam-6522	166	27	point	point	NOUN
ejpam-6522	166	28	.	.	PUNCT
ejpam-6522	167	1	however	however	ADV
ejpam-6522	167	2	,	,	PUNCT
ejpam-6522	167	3	and	and	CCONJ
ejpam-6522	167	4	except	except	SCONJ
ejpam-6522	167	5	for	for	ADP
ejpam-6522	167	6	the	the	DET
ejpam-6522	167	7	biological	biological	ADJ
ejpam-6522	167	8	implications	implication	NOUN
ejpam-6522	167	9	of	of	ADP
ejpam-6522	167	10	using	use	VERB
ejpam-6522	167	11	insecticides	insecticide	NOUN
ejpam-6522	167	12	,	,	PUNCT
ejpam-6522	167	13	applying	apply	VERB
ejpam-6522	167	14	insecticides	insecticide	NOUN
ejpam-6522	167	15	and	and	CCONJ
ejpam-6522	167	16	destroying	destroy	VERB
ejpam-6522	167	17	breeding	breeding	NOUN
ejpam-6522	167	18	sites	site	NOUN
ejpam-6522	167	19	have	have	AUX
ejpam-6522	167	20	been	be	AUX
ejpam-6522	167	21	an	an	DET
ejpam-6522	167	22	effective	effective	ADJ
ejpam-6522	167	23	method	method	NOUN
ejpam-6522	167	24	in	in	ADP
ejpam-6522	167	25	reducing	reduce	VERB
ejpam-6522	167	26	mosquito	mosquito	ADJ
ejpam-6522	167	27	populations	population	NOUN
ejpam-6522	167	28	.	.	PUNCT
ejpam-6522	168	1	4.2	4.2	NUM
ejpam-6522	168	2	.	.	PUNCT
ejpam-6522	168	3	wolbachia	wolbachia	PROPN
ejpam-6522	168	4	uninfected	uninfected	ADJ
ejpam-6522	168	5	mosquitoes	mosquito	NOUN
ejpam-6522	168	6	only	only	ADV
ejpam-6522	168	7	the	the	DET
ejpam-6522	168	8	equilibrium	equilibrium	NOUN
ejpam-6522	168	9	point	point	NOUN
ejpam-6522	168	10	of	of	ADP
ejpam-6522	168	11	wu	wu	PROPN
ejpam-6522	168	12	mosquitoes	mosquito	NOUN
ejpam-6522	168	13	is	be	AUX
ejpam-6522	168	14	specified	specify	VERB
ejpam-6522	168	15	as	as	ADP
ejpam-6522	168	16	e2	e2	PROPN
ejpam-6522	168	17	=	=	SYM
ejpam-6522	168	18	(	(	PUNCT
ejpam-6522	168	19	q∗	q∗	PROPN
ejpam-6522	168	20	w̄	w̄	NOUN
ejpam-6522	168	21	,	,	PUNCT
ejpam-6522	168	22	0	0	NUM
ejpam-6522	168	23	,	,	PUNCT
ejpam-6522	168	24	f	f	PROPN
ejpam-6522	168	25	∗	∗	NOUN
ejpam-6522	168	26	w̄	w̄	NOUN
ejpam-6522	168	27	,	,	PUNCT
ejpam-6522	168	28	0	0	NUM
ejpam-6522	168	29	)	)	PUNCT
ejpam-6522	168	30	where	where	SCONJ
ejpam-6522	168	31	q∗	q∗	NOUN
ejpam-6522	168	32	w̄	w̄	NOUN
ejpam-6522	168	33	=	=	SYM
ejpam-6522	168	34	k	k	PROPN
ejpam-6522	168	35	(	(	PUNCT
ejpam-6522	168	36	1−	1−	NUM
ejpam-6522	168	37	1	1	NUM
ejpam-6522	168	38	r0w̄	r0w̄	NUM
ejpam-6522	168	39	)	)	PUNCT
ejpam-6522	168	40	,	,	PUNCT
ejpam-6522	168	41	(	(	PUNCT
ejpam-6522	168	42	7	7	X
ejpam-6522	168	43	)	)	PUNCT
ejpam-6522	168	44	and	and	CCONJ
ejpam-6522	168	45	f	f	PROPN
ejpam-6522	168	46	∗	∗	NOUN
ejpam-6522	168	47	w̄	w̄	NOUN
ejpam-6522	169	1	=	=	SYM
ejpam-6522	169	2	ψk	ψk	PROPN
ejpam-6522	169	3	2µw̄	2µw̄	NUM
ejpam-6522	169	4	(	(	PUNCT
ejpam-6522	169	5	1−	1−	NUM
ejpam-6522	169	6	1	1	NUM
ejpam-6522	169	7	r0w̄	r0w̄	NUM
ejpam-6522	169	8	)	)	PUNCT
ejpam-6522	169	9	.	.	PUNCT
ejpam-6522	170	1	(	(	PUNCT
ejpam-6522	170	2	8)	8)	NUM
ejpam-6522	170	3	hence	hence	ADV
ejpam-6522	170	4	,	,	PUNCT
ejpam-6522	170	5	for	for	ADP
ejpam-6522	170	6	this	this	DET
ejpam-6522	170	7	equilibrium	equilibrium	NOUN
ejpam-6522	170	8	point	point	NOUN
ejpam-6522	170	9	,	,	PUNCT
ejpam-6522	170	10	it	it	PRON
ejpam-6522	170	11	is	be	AUX
ejpam-6522	170	12	necessary	necessary	ADJ
ejpam-6522	170	13	that	that	SCONJ
ejpam-6522	170	14	r0w̄	r0w̄	PUNCT
ejpam-6522	170	15	>	>	X
ejpam-6522	170	16	1	1	NUM
ejpam-6522	170	17	;	;	PUNCT
ejpam-6522	170	18	otherwise	otherwise	ADV
ejpam-6522	170	19	,	,	PUNCT
ejpam-6522	170	20	wu	wu	PROPN
ejpam-6522	170	21	mosquitoes	mosquito	NOUN
ejpam-6522	170	22	will	will	AUX
ejpam-6522	170	23	not	not	PART
ejpam-6522	170	24	persist	persist	VERB
ejpam-6522	170	25	.	.	PUNCT
ejpam-6522	171	1	we	we	PRON
ejpam-6522	171	2	now	now	ADV
ejpam-6522	171	3	establish	establish	VERB
ejpam-6522	171	4	the	the	DET
ejpam-6522	171	5	invasive	invasive	ADJ
ejpam-6522	171	6	reproduction	reproduction	NOUN
ejpam-6522	171	7	number	number	NOUN
ejpam-6522	171	8	r0w|w̄	r0w|w̄	VERB
ejpam-6522	171	9	using	use	VERB
ejpam-6522	171	10	the	the	DET
ejpam-6522	171	11	nextgeneration	nextgeneration	NOUN
ejpam-6522	171	12	matrix	matrix	NOUN
ejpam-6522	171	13	method	method	NOUN
ejpam-6522	171	14	.	.	PUNCT
ejpam-6522	172	1	wi	wi	PROPN
ejpam-6522	172	2	populations	population	NOUN
ejpam-6522	172	3	can	can	AUX
ejpam-6522	172	4	be	be	AUX
ejpam-6522	172	5	divided	divide	VERB
ejpam-6522	172	6	into	into	ADP
ejpam-6522	172	7	two	two	NUM
ejpam-6522	172	8	categories	category	NOUN
ejpam-6522	172	9	:	:	PUNCT
ejpam-6522	172	10	one	one	NUM
ejpam-6522	172	11	characterized	characterize	VERB
ejpam-6522	172	12	by	by	ADP
ejpam-6522	172	13	the	the	DET
ejpam-6522	172	14	emergence	emergence	NOUN
ejpam-6522	172	15	rate	rate	NOUN
ejpam-6522	172	16	of	of	ADP
ejpam-6522	172	17	new	new	ADJ
ejpam-6522	172	18	wi	wi	PROPN
ejpam-6522	172	19	mosquitoes	mosquito	NOUN
ejpam-6522	172	20	(	(	PUNCT
ejpam-6522	172	21	f	f	X
ejpam-6522	172	22	)	)	PUNCT
ejpam-6522	172	23	and	and	CCONJ
ejpam-6522	172	24	the	the	DET
ejpam-6522	172	25	other	other	ADJ
ejpam-6522	172	26	transition	transition	NOUN
ejpam-6522	172	27	rates	rate	NOUN
ejpam-6522	172	28	,	,	PUNCT
ejpam-6522	172	29	including	include	VERB
ejpam-6522	172	30	mortality	mortality	NOUN
ejpam-6522	172	31	and	and	CCONJ
ejpam-6522	172	32	development	development	NOUN
ejpam-6522	172	33	into	into	ADP
ejpam-6522	172	34	adult	adult	NOUN
ejpam-6522	172	35	mosquitoes	mosquito	NOUN
ejpam-6522	172	36	infected	infect	VERB
ejpam-6522	172	37	with	with	ADP
ejpam-6522	172	38	wolbachia	wolbachia	NOUN
ejpam-6522	172	39	(	(	PUNCT
ejpam-6522	172	40	v	v	NOUN
ejpam-6522	172	41	)	)	PUNCT
ejpam-6522	173	1	[	[	X
ejpam-6522	173	2	12	12	NUM
ejpam-6522	173	3	]	]	PUNCT
ejpam-6522	173	4	.	.	PUNCT
ejpam-6522	174	1	f	f	X
ejpam-6522	175	1	=	=	PRON
ejpam-6522	175	2	(	(	PUNCT
ejpam-6522	175	3	(	(	PUNCT
ejpam-6522	175	4	ϕwf	ϕwf	NOUN
ejpam-6522	175	5	2	2	NUM
ejpam-6522	175	6	w+(1−ρ2)ϕwfwfw̄	w+(1−ρ2)ϕwfwfw̄	NOUN
ejpam-6522	175	7	fw̄+fw	fw̄+fw	NOUN
ejpam-6522	175	8	)	)	PUNCT
ejpam-6522	175	9	(	(	PUNCT
ejpam-6522	175	10	1−	1−	NUM
ejpam-6522	175	11	q	q	PROPN
ejpam-6522	175	12	k	k	PROPN
ejpam-6522	175	13	)	)	PUNCT
ejpam-6522	175	14	0	0	NUM
ejpam-6522	175	15	)	)	PUNCT
ejpam-6522	175	16	,	,	PUNCT
ejpam-6522	175	17	v	v	X
ejpam-6522	175	18	=	=	SYM
ejpam-6522	175	19	(	(	PUNCT
ejpam-6522	175	20	(	(	PUNCT
ejpam-6522	175	21	µa	µa	ADP
ejpam-6522	175	22	+	+	X
ejpam-6522	175	23	ψ)qw	ψ)qw	PROPN
ejpam-6522	175	24	−ψqw	−ψqw	ADJ
ejpam-6522	175	25	2	2	NUM
ejpam-6522	175	26	+	+	CCONJ
ejpam-6522	175	27	µwfw	µwfw	NOUN
ejpam-6522	175	28	)	)	PUNCT
ejpam-6522	175	29	.	.	PUNCT
ejpam-6522	176	1	furthermore	furthermore	ADV
ejpam-6522	176	2	,	,	PUNCT
ejpam-6522	176	3	we	we	PRON
ejpam-6522	176	4	introduce	introduce	VERB
ejpam-6522	176	5	the	the	DET
ejpam-6522	176	6	matrices	matrix	NOUN
ejpam-6522	176	7	fij	fij	PROPN
ejpam-6522	176	8	=	=	SYM
ejpam-6522	176	9	∂fi	∂fi	PROPN
ejpam-6522	176	10	∂xj	∂xj	PROPN
ejpam-6522	176	11	|e2	|e2	X
ejpam-6522	176	12	,	,	PUNCT
ejpam-6522	176	13	(	(	PUNCT
ejpam-6522	176	14	9	9	NUM
ejpam-6522	176	15	)	)	PUNCT
ejpam-6522	176	16	and	and	CCONJ
ejpam-6522	176	17	vij	vij	NOUN
ejpam-6522	176	18	=	=	PROPN
ejpam-6522	176	19	∂vi	∂vi	VERB
ejpam-6522	176	20	∂xj	∂xj	NOUN
ejpam-6522	176	21	|e2	|e2	X
ejpam-6522	176	22	,	,	PUNCT
ejpam-6522	176	23	(	(	PUNCT
ejpam-6522	176	24	10	10	NUM
ejpam-6522	176	25	)	)	PUNCT
ejpam-6522	176	26	where	where	SCONJ
ejpam-6522	176	27	xj	xj	PROPN
ejpam-6522	176	28	show	show	VERB
ejpam-6522	176	29	the	the	DET
ejpam-6522	176	30	infected	infected	ADJ
ejpam-6522	176	31	population	population	NOUN
ejpam-6522	176	32	qw	qw	NOUN
ejpam-6522	176	33	and	and	CCONJ
ejpam-6522	176	34	fw	fw	NOUN
ejpam-6522	176	35	.	.	PROPN
ejpam-6522	177	1	thus	thus	ADV
ejpam-6522	177	2	,	,	PUNCT
ejpam-6522	177	3	f	f	PROPN
ejpam-6522	177	4	=	=	PRON
ejpam-6522	177	5	(	(	PUNCT
ejpam-6522	177	6	0	0	NUM
ejpam-6522	177	7	ϕw(k−q∗	ϕw(k−q∗	NOUN
ejpam-6522	177	8	w̄)(1−ρ2	w̄)(1−ρ2	NOUN
ejpam-6522	177	9	)	)	PUNCT
ejpam-6522	177	10	k	k	NOUN
ejpam-6522	177	11	0	0	NUM
ejpam-6522	177	12	0	0	NUM
ejpam-6522	177	13	)	)	PUNCT
ejpam-6522	177	14	,	,	PUNCT
ejpam-6522	177	15	v	v	X
ejpam-6522	177	16	=	=	SYM
ejpam-6522	177	17	(	(	PUNCT
ejpam-6522	177	18	µa	µa	ADP
ejpam-6522	177	19	+	+	SYM
ejpam-6522	177	20	ψ	ψ	X
ejpam-6522	177	21	0	0	NUM
ejpam-6522	177	22	−ψ	−ψ	NOUN
ejpam-6522	177	23	2	2	NUM
ejpam-6522	177	24	µw	µw	PROPN
ejpam-6522	177	25	)	)	PUNCT
ejpam-6522	177	26	,	,	PUNCT
ejpam-6522	177	27	m.	m.	NOUN
ejpam-6522	177	28	yar	yar	PROPN
ejpam-6522	177	29	,	,	PUNCT
ejpam-6522	177	30	s.	s.	PROPN
ejpam-6522	177	31	javeed	javeed	PROPN
ejpam-6522	177	32	,	,	PUNCT
ejpam-6522	177	33	t.	t.	PROPN
ejpam-6522	177	34	abbas	abbas	PROPN
ejpam-6522	177	35	khan	khan	PROPN
ejpam-6522	177	36	/	/	SYM
ejpam-6522	177	37	eur	eur	PROPN
ejpam-6522	177	38	.	.	PUNCT
ejpam-6522	178	1	j.	j.	PROPN
ejpam-6522	178	2	pure	pure	PROPN
ejpam-6522	178	3	appl	appl	PROPN
ejpam-6522	178	4	.	.	PROPN
ejpam-6522	178	5	math	math	PROPN
ejpam-6522	178	6	,	,	PUNCT
ejpam-6522	178	7	18	18	NUM
ejpam-6522	178	8	(	(	PUNCT
ejpam-6522	178	9	3	3	NUM
ejpam-6522	178	10	)	)	PUNCT
ejpam-6522	178	11	(	(	PUNCT
ejpam-6522	178	12	2025	2025	NUM
ejpam-6522	178	13	)	)	PUNCT
ejpam-6522	178	14	,	,	PUNCT
ejpam-6522	178	15	6522	6522	NUM
ejpam-6522	178	16	8	8	NUM
ejpam-6522	178	17	of	of	ADP
ejpam-6522	178	18	23	23	NUM
ejpam-6522	178	19	the	the	DET
ejpam-6522	178	20	next	next	ADJ
ejpam-6522	178	21	generation	generation	NOUN
ejpam-6522	178	22	matrix	matrix	NOUN
ejpam-6522	178	23	is	be	AUX
ejpam-6522	178	24	fv	fv	NOUN
ejpam-6522	178	25	−1	−1	NOUN
ejpam-6522	178	26	=	=	PUNCT
ejpam-6522	178	27	(	(	PUNCT
ejpam-6522	178	28	ψϕw(k−q∗	ψϕw(k−q∗	PROPN
ejpam-6522	178	29	w̄)(1−ρ2	w̄)(1−ρ2	NOUN
ejpam-6522	178	30	)	)	PUNCT
ejpam-6522	179	1	2(µa+ψ)µwk	2(µa+ψ)µwk	NUM
ejpam-6522	179	2	ϕw(k−q∗	ϕw(k−q∗	PROPN
ejpam-6522	179	3	w̄)(1−ρ2	w̄)(1−ρ2	NOUN
ejpam-6522	179	4	)	)	PUNCT
ejpam-6522	179	5	µwk	µwk	NOUN
ejpam-6522	179	6	0	0	NUM
ejpam-6522	179	7	0	0	NUM
ejpam-6522	179	8	)	)	PUNCT
ejpam-6522	179	9	.	.	PUNCT
ejpam-6522	180	1	hence	hence	ADV
ejpam-6522	180	2	,	,	PUNCT
ejpam-6522	180	3	the	the	DET
ejpam-6522	180	4	invasive	invasive	ADJ
ejpam-6522	180	5	reproduction	reproduction	NOUN
ejpam-6522	180	6	number	number	NOUN
ejpam-6522	180	7	is	be	AUX
ejpam-6522	180	8	r0w|w̄	r0w|w̄	NOUN
ejpam-6522	180	9	=	=	SYM
ejpam-6522	180	10	λ(fv	λ(fv	NOUN
ejpam-6522	180	11	−1	−1	NOUN
ejpam-6522	180	12	)	)	PUNCT
ejpam-6522	180	13	=	=	SYM
ejpam-6522	181	1	ϕwµw̄(1−	ϕwµw̄(1−	PROPN
ejpam-6522	181	2	ρ2	ρ2	NOUN
ejpam-6522	181	3	)	)	PUNCT
ejpam-6522	181	4	µwk	µwk	NOUN
ejpam-6522	181	5	=	=	SYM
ejpam-6522	181	6	r0w(1−	r0w(1−	NOUN
ejpam-6522	181	7	ρ2	ρ2	NOUN
ejpam-6522	181	8	)	)	PUNCT
ejpam-6522	181	9	r0w̄	r0w̄	X
ejpam-6522	181	10	.	.	PUNCT
ejpam-6522	182	1	(	(	PUNCT
ejpam-6522	182	2	11	11	NUM
ejpam-6522	182	3	)	)	PUNCT
ejpam-6522	182	4	here	here	ADV
ejpam-6522	182	5	,	,	PUNCT
ejpam-6522	182	6	λ(fv	λ(fv	NOUN
ejpam-6522	182	7	−1	−1	NOUN
ejpam-6522	182	8	)	)	PUNCT
ejpam-6522	182	9	denotes	denote	VERB
ejpam-6522	182	10	the	the	DET
ejpam-6522	182	11	spectral	spectral	ADJ
ejpam-6522	182	12	radius	radius	NOUN
ejpam-6522	182	13	of	of	ADP
ejpam-6522	182	14	fv	fv	PROPN
ejpam-6522	182	15	−1	−1	NOUN
ejpam-6522	182	16	.	.	PUNCT
ejpam-6522	183	1	the	the	DET
ejpam-6522	183	2	number	number	NOUN
ejpam-6522	183	3	r0w|w̄	r0w|w̄	NOUN
ejpam-6522	183	4	represents	represent	VERB
ejpam-6522	183	5	the	the	DET
ejpam-6522	183	6	expected	expect	VERB
ejpam-6522	183	7	number	number	NOUN
ejpam-6522	183	8	of	of	ADP
ejpam-6522	183	9	infected	infect	VERB
ejpam-6522	183	10	offspring	offspring	NOUN
ejpam-6522	183	11	produced	produce	VERB
ejpam-6522	183	12	by	by	ADP
ejpam-6522	183	13	a	a	DET
ejpam-6522	183	14	single	single	ADJ
ejpam-6522	183	15	wi	wi	PROPN
ejpam-6522	183	16	mosquito	mosquito	PROPN
ejpam-6522	183	17	introduced	introduce	VERB
ejpam-6522	183	18	into	into	ADP
ejpam-6522	183	19	a	a	DET
ejpam-6522	183	20	population	population	NOUN
ejpam-6522	183	21	of	of	ADP
ejpam-6522	183	22	wu	wu	PROPN
ejpam-6522	183	23	mosquitoes	mosquito	NOUN
ejpam-6522	183	24	at	at	ADP
ejpam-6522	183	25	equilibrium	equilibrium	NOUN
ejpam-6522	183	26	.	.	PUNCT
ejpam-6522	184	1	biologically	biologically	ADV
ejpam-6522	184	2	,	,	PUNCT
ejpam-6522	184	3	this	this	DET
ejpam-6522	184	4	metric	metric	ADJ
ejpam-6522	184	5	quantifies	quantifie	NOUN
ejpam-6522	184	6	the	the	DET
ejpam-6522	184	7	potential	potential	NOUN
ejpam-6522	184	8	for	for	SCONJ
ejpam-6522	184	9	wolbachia	wolbachia	NOUN
ejpam-6522	184	10	to	to	PART
ejpam-6522	184	11	invade	invade	VERB
ejpam-6522	184	12	and	and	CCONJ
ejpam-6522	184	13	establish	establish	VERB
ejpam-6522	184	14	in	in	ADP
ejpam-6522	184	15	a	a	DET
ejpam-6522	184	16	wu	wu	PROPN
ejpam-6522	184	17	dominated	dominate	VERB
ejpam-6522	184	18	population	population	NOUN
ejpam-6522	184	19	,	,	PUNCT
ejpam-6522	184	20	under	under	ADP
ejpam-6522	184	21	the	the	DET
ejpam-6522	184	22	assumption	assumption	NOUN
ejpam-6522	184	23	that	that	SCONJ
ejpam-6522	184	24	infected	infected	ADJ
ejpam-6522	184	25	mosquitoes	mosquito	NOUN
ejpam-6522	184	26	do	do	AUX
ejpam-6522	184	27	not	not	PART
ejpam-6522	184	28	lose	lose	VERB
ejpam-6522	184	29	their	their	PRON
ejpam-6522	184	30	infection	infection	NOUN
ejpam-6522	184	31	.	.	PUNCT
ejpam-6522	185	1	the	the	DET
ejpam-6522	185	2	factor	factor	NOUN
ejpam-6522	185	3	(	(	PUNCT
ejpam-6522	185	4	1−ρ2	1−ρ2	NUM
ejpam-6522	185	5	)	)	PUNCT
ejpam-6522	185	6	in	in	ADP
ejpam-6522	185	7	this	this	DET
ejpam-6522	185	8	equation	equation	NOUN
ejpam-6522	185	9	reflects	reflect	VERB
ejpam-6522	185	10	the	the	DET
ejpam-6522	185	11	effect	effect	NOUN
ejpam-6522	185	12	of	of	ADP
ejpam-6522	185	13	imperfect	imperfect	ADJ
ejpam-6522	185	14	maternal	maternal	ADJ
ejpam-6522	185	15	transmission	transmission	NOUN
ejpam-6522	185	16	:	:	PUNCT
ejpam-6522	185	17	some	some	DET
ejpam-6522	185	18	offspring	offspring	NOUN
ejpam-6522	185	19	from	from	ADP
ejpam-6522	185	20	wi	wi	PROPN
ejpam-6522	185	21	females	female	NOUN
ejpam-6522	185	22	mating	mate	VERB
ejpam-6522	185	23	with	with	ADP
ejpam-6522	185	24	wu	wu	PROPN
ejpam-6522	185	25	males	male	NOUN
ejpam-6522	185	26	are	be	AUX
ejpam-6522	185	27	uninfected	uninfected	ADJ
ejpam-6522	185	28	,	,	PUNCT
ejpam-6522	185	29	which	which	PRON
ejpam-6522	185	30	diminishes	diminish	VERB
ejpam-6522	185	31	the	the	DET
ejpam-6522	185	32	chances	chance	NOUN
ejpam-6522	185	33	of	of	ADP
ejpam-6522	185	34	successful	successful	ADJ
ejpam-6522	185	35	invasion	invasion	NOUN
ejpam-6522	185	36	.	.	PUNCT
ejpam-6522	186	1	this	this	DET
ejpam-6522	186	2	factor	factor	NOUN
ejpam-6522	186	3	thus	thus	ADV
ejpam-6522	186	4	demonstrates	demonstrate	VERB
ejpam-6522	186	5	how	how	SCONJ
ejpam-6522	186	6	the	the	DET
ejpam-6522	186	7	ratio	ratio	NOUN
ejpam-6522	186	8	of	of	ADP
ejpam-6522	186	9	aquatic	aquatic	ADJ
ejpam-6522	186	10	-	-	PUNCT
ejpam-6522	186	11	stage	stage	NOUN
ejpam-6522	186	12	mosquitoes	mosquito	NOUN
ejpam-6522	186	13	that	that	PRON
ejpam-6522	186	14	are	be	AUX
ejpam-6522	186	15	wi	wi	PROPN
ejpam-6522	186	16	affects	affect	VERB
ejpam-6522	186	17	the	the	DET
ejpam-6522	186	18	likelihood	likelihood	NOUN
ejpam-6522	186	19	of	of	ADP
ejpam-6522	186	20	wi	wi	PROPN
ejpam-6522	186	21	mosquitoes	mosquito	NOUN
ejpam-6522	186	22	displacing	displace	VERB
ejpam-6522	186	23	wu	wu	PROPN
ejpam-6522	186	24	mosquitoes	mosquito	NOUN
ejpam-6522	186	25	when	when	SCONJ
ejpam-6522	186	26	wu	wu	PROPN
ejpam-6522	186	27	males	male	NOUN
ejpam-6522	186	28	mate	mate	VERB
ejpam-6522	186	29	with	with	ADP
ejpam-6522	186	30	wi	wi	PROPN
ejpam-6522	186	31	females	female	NOUN
ejpam-6522	186	32	.	.	PUNCT
ejpam-6522	187	1	if	if	SCONJ
ejpam-6522	187	2	r0w|w̄	r0w|w̄	VERB
ejpam-6522	187	3	<	<	X
ejpam-6522	187	4	1	1	NUM
ejpam-6522	187	5	,	,	PUNCT
ejpam-6522	187	6	the	the	DET
ejpam-6522	187	7	infection	infection	NOUN
ejpam-6522	187	8	is	be	AUX
ejpam-6522	187	9	unable	unable	ADJ
ejpam-6522	187	10	to	to	PART
ejpam-6522	187	11	establish	establish	VERB
ejpam-6522	187	12	itself	itself	PRON
ejpam-6522	187	13	,	,	PUNCT
ejpam-6522	187	14	even	even	ADV
ejpam-6522	187	15	with	with	ADP
ejpam-6522	187	16	cytoplasmic	cytoplasmic	ADJ
ejpam-6522	187	17	incompatibility	incompatibility	NOUN
ejpam-6522	187	18	present	present	ADJ
ejpam-6522	187	19	.	.	PUNCT
ejpam-6522	188	1	therefore	therefore	ADV
ejpam-6522	188	2	,	,	PUNCT
ejpam-6522	188	3	cytoplasmic	cytoplasmic	ADJ
ejpam-6522	188	4	incompatibility	incompatibility	NOUN
ejpam-6522	188	5	by	by	ADP
ejpam-6522	188	6	itself	itself	PRON
ejpam-6522	188	7	is	be	AUX
ejpam-6522	188	8	not	not	PART
ejpam-6522	188	9	enough	enough	ADJ
ejpam-6522	188	10	for	for	ADP
ejpam-6522	188	11	successful	successful	ADJ
ejpam-6522	188	12	invasion	invasion	NOUN
ejpam-6522	188	13	;	;	PUNCT
ejpam-6522	188	14	the	the	DET
ejpam-6522	188	15	reliability	reliability	NOUN
ejpam-6522	188	16	of	of	ADP
ejpam-6522	188	17	maternal	maternal	ADJ
ejpam-6522	188	18	transmission	transmission	NOUN
ejpam-6522	188	19	is	be	AUX
ejpam-6522	188	20	also	also	ADV
ejpam-6522	188	21	critical	critical	ADJ
ejpam-6522	188	22	.	.	PUNCT
ejpam-6522	189	1	4.3	4.3	NUM
ejpam-6522	189	2	.	.	PUNCT
ejpam-6522	189	3	wolbachia	wolbachia	PROPN
ejpam-6522	189	4	infected	infect	VERB
ejpam-6522	189	5	mosquitoes	mosquito	NOUN
ejpam-6522	189	6	-	-	PUNCT
ejpam-6522	189	7	only	only	ADV
ejpam-6522	189	8	in	in	ADP
ejpam-6522	189	9	this	this	DET
ejpam-6522	189	10	instance	instance	NOUN
ejpam-6522	189	11	,	,	PUNCT
ejpam-6522	189	12	the	the	DET
ejpam-6522	189	13	equilibrium	equilibrium	NOUN
ejpam-6522	189	14	point	point	NOUN
ejpam-6522	189	15	is	be	AUX
ejpam-6522	189	16	e3	e3	NOUN
ejpam-6522	189	17	=	=	SYM
ejpam-6522	189	18	(	(	PUNCT
ejpam-6522	189	19	0	0	NUM
ejpam-6522	189	20	,	,	PUNCT
ejpam-6522	189	21	q∗	q∗	PROPN
ejpam-6522	189	22	w	w	PROPN
ejpam-6522	189	23	,	,	PUNCT
ejpam-6522	189	24	0	0	NUM
ejpam-6522	189	25	,	,	PUNCT
ejpam-6522	189	26	f	f	PROPN
ejpam-6522	189	27	∗	∗	PROPN
ejpam-6522	189	28	w	w	PROPN
ejpam-6522	189	29	)	)	PUNCT
ejpam-6522	190	1	where	where	SCONJ
ejpam-6522	190	2	,	,	PUNCT
ejpam-6522	190	3	q∗	q∗	PROPN
ejpam-6522	190	4	w	w	NOUN
ejpam-6522	190	5	=	=	SYM
ejpam-6522	190	6	k	k	PROPN
ejpam-6522	190	7	(	(	PUNCT
ejpam-6522	190	8	1−	1−	NUM
ejpam-6522	190	9	1	1	NUM
ejpam-6522	190	10	r0w	r0w	PROPN
ejpam-6522	190	11	)	)	PUNCT
ejpam-6522	190	12	,	,	PUNCT
ejpam-6522	190	13	(	(	PUNCT
ejpam-6522	190	14	12	12	NUM
ejpam-6522	190	15	)	)	PUNCT
ejpam-6522	190	16	and	and	CCONJ
ejpam-6522	190	17	f	f	PROPN
ejpam-6522	190	18	∗	∗	NOUN
ejpam-6522	190	19	w	w	X
ejpam-6522	190	20	=	=	PUNCT
ejpam-6522	190	21	ψk	ψk	NOUN
ejpam-6522	190	22	2µw	2µw	NOUN
ejpam-6522	190	23	(	(	PUNCT
ejpam-6522	190	24	1−	1−	NUM
ejpam-6522	190	25	1	1	NUM
ejpam-6522	190	26	r0w	r0w	PROPN
ejpam-6522	190	27	)	)	PUNCT
ejpam-6522	190	28	.	.	PUNCT
ejpam-6522	191	1	(	(	PUNCT
ejpam-6522	191	2	13	13	NUM
ejpam-6522	191	3	)	)	PUNCT
ejpam-6522	191	4	4.4	4.4	NUM
ejpam-6522	191	5	.	.	PUNCT
ejpam-6522	192	1	coexistence	coexistence	NOUN
ejpam-6522	192	2	of	of	ADP
ejpam-6522	192	3	wolbachia	wolbachia	NOUN
ejpam-6522	192	4	infected	infect	VERB
ejpam-6522	192	5	and	and	CCONJ
ejpam-6522	192	6	wolbachia	wolbachia	NOUN
ejpam-6522	192	7	uninfected	uninfected	ADJ
ejpam-6522	192	8	mosquitoes	mosquito	NOUN
ejpam-6522	192	9	the	the	DET
ejpam-6522	192	10	presence	presence	NOUN
ejpam-6522	192	11	of	of	ADP
ejpam-6522	192	12	both	both	PRON
ejpam-6522	192	13	wi	wi	PROPN
ejpam-6522	192	14	andwumosquitoes	andwumosquitoe	NOUN
ejpam-6522	192	15	within	within	ADP
ejpam-6522	192	16	the	the	DET
ejpam-6522	192	17	aedes	aedes	PROPN
ejpam-6522	192	18	aegypti	aegypti	VERB
ejpam-6522	192	19	population	population	NOUN
ejpam-6522	192	20	is	be	AUX
ejpam-6522	192	21	a	a	DET
ejpam-6522	192	22	significant	significant	ADJ
ejpam-6522	192	23	situation	situation	NOUN
ejpam-6522	192	24	.	.	PUNCT
ejpam-6522	193	1	in	in	ADP
ejpam-6522	193	2	this	this	DET
ejpam-6522	193	3	case	case	NOUN
ejpam-6522	193	4	,	,	PUNCT
ejpam-6522	193	5	it	it	PRON
ejpam-6522	193	6	is	be	AUX
ejpam-6522	193	7	desirable	desirable	ADJ
ejpam-6522	193	8	for	for	SCONJ
ejpam-6522	193	9	the	the	DET
ejpam-6522	193	10	majority	majority	NOUN
ejpam-6522	193	11	of	of	ADP
ejpam-6522	193	12	the	the	DET
ejpam-6522	193	13	mosquito	mosquito	ADJ
ejpam-6522	193	14	population	population	NOUN
ejpam-6522	193	15	to	to	PART
ejpam-6522	193	16	be	be	AUX
ejpam-6522	193	17	wolbachia	wolbachia	NOUN
ejpam-6522	193	18	-	-	PUNCT
ejpam-6522	193	19	infected	infect	VERB
ejpam-6522	193	20	,	,	PUNCT
ejpam-6522	193	21	as	as	SCONJ
ejpam-6522	193	22	this	this	PRON
ejpam-6522	193	23	can	can	AUX
ejpam-6522	193	24	reduce	reduce	VERB
ejpam-6522	193	25	the	the	DET
ejpam-6522	193	26	transmission	transmission	NOUN
ejpam-6522	193	27	of	of	ADP
ejpam-6522	193	28	arboviral	arboviral	ADJ
ejpam-6522	193	29	diseases	disease	NOUN
ejpam-6522	193	30	.	.	PUNCT
ejpam-6522	194	1	the	the	DET
ejpam-6522	194	2	coexistence	coexistence	NOUN
ejpam-6522	194	3	equilibrium	equilibrium	NOUN
ejpam-6522	194	4	point	point	NOUN
ejpam-6522	194	5	of	of	ADP
ejpam-6522	194	6	system	system	NOUN
ejpam-6522	194	7	(	(	PUNCT
ejpam-6522	194	8	1	1	X
ejpam-6522	194	9	)	)	PUNCT
ejpam-6522	194	10	is	be	AUX
ejpam-6522	194	11	defined	define	VERB
ejpam-6522	194	12	as	as	ADP
ejpam-6522	194	13	e4	e4	PROPN
ejpam-6522	194	14	=	=	SYM
ejpam-6522	194	15	(	(	PUNCT
ejpam-6522	194	16	d1f	d1f	NOUN
ejpam-6522	194	17	∗	∗	NOUN
ejpam-6522	194	18	w̄	w̄	NOUN
ejpam-6522	194	19	,	,	PUNCT
ejpam-6522	194	20	d2f	d2f	PROPN
ejpam-6522	194	21	∗	∗	PROPN
ejpam-6522	194	22	w	w	PROPN
ejpam-6522	194	23	,	,	PUNCT
ejpam-6522	194	24	d3f	d3f	PROPN
ejpam-6522	194	25	∗	∗	PROPN
ejpam-6522	194	26	w	w	PROPN
ejpam-6522	194	27	,	,	PUNCT
ejpam-6522	194	28	f	f	PROPN
ejpam-6522	194	29	∗	∗	PROPN
ejpam-6522	194	30	w	w	PROPN
ejpam-6522	194	31	)	)	PUNCT
ejpam-6522	194	32	,	,	PUNCT
ejpam-6522	194	33	(	(	PUNCT
ejpam-6522	194	34	14	14	NUM
ejpam-6522	194	35	)	)	PUNCT
ejpam-6522	194	36	where	where	SCONJ
ejpam-6522	194	37	f	f	PROPN
ejpam-6522	194	38	∗	∗	VERB
ejpam-6522	194	39	w	w	PROPN
ejpam-6522	195	1	=	=	PUNCT
ejpam-6522	195	2	kψ	kψ	PROPN
ejpam-6522	195	3	2(µw̄d3+µw	2(µw̄d3+µw	NUM
ejpam-6522	195	4	)	)	PUNCT
ejpam-6522	195	5	[	[	PUNCT
ejpam-6522	195	6	r0w(1+(1−ρ2)d3)−(1+d3	r0w(1+(1−ρ2)d3)−(1+d3	NOUN
ejpam-6522	195	7	)	)	PUNCT
ejpam-6522	195	8	r0w(1+(1−ρ2)d3	r0w(1+(1−ρ2)d3	PROPN
ejpam-6522	195	9	)	)	PUNCT
ejpam-6522	195	10	]	]	PUNCT
ejpam-6522	195	11	,	,	PUNCT
ejpam-6522	195	12	d1	d1	PROPN
ejpam-6522	195	13	=	=	SYM
ejpam-6522	195	14	2µw̄	2µw̄	NUM
ejpam-6522	195	15	ψ	ψ	NOUN
ejpam-6522	195	16	,	,	PUNCT
ejpam-6522	196	1	d2	d2	NOUN
ejpam-6522	196	2	=	=	SYM
ejpam-6522	196	3	2µw	2µw	NOUN
ejpam-6522	196	4	ψ	ψ	NOUN
ejpam-6522	196	5	and	and	CCONJ
ejpam-6522	196	6	,	,	PUNCT
ejpam-6522	196	7	d3	d3	PROPN
ejpam-6522	196	8	=	=	SYM
ejpam-6522	196	9	[	[	PUNCT
ejpam-6522	196	10	r0w|w̄(µw̄−ρ2µw	r0w|w̄(µw̄−ρ2µw	NOUN
ejpam-6522	196	11	)	)	PUNCT
ejpam-6522	196	12	µw̄(1−ρ2)(1−r0w|w̄	µw̄(1−ρ2)(1−r0w|w̄	PUNCT
ejpam-6522	196	13	)	)	PUNCT
ejpam-6522	196	14	]	]	PUNCT
ejpam-6522	196	15	.	.	PUNCT
ejpam-6522	197	1	m.	m.	PROPN
ejpam-6522	197	2	yar	yar	PROPN
ejpam-6522	197	3	,	,	PUNCT
ejpam-6522	197	4	s.	s.	PROPN
ejpam-6522	197	5	javeed	javeed	PROPN
ejpam-6522	197	6	,	,	PUNCT
ejpam-6522	197	7	t.	t.	PROPN
ejpam-6522	197	8	abbas	abbas	PROPN
ejpam-6522	197	9	khan	khan	PROPN
ejpam-6522	197	10	/	/	SYM
ejpam-6522	197	11	eur	eur	PROPN
ejpam-6522	197	12	.	.	PUNCT
ejpam-6522	198	1	j.	j.	PROPN
ejpam-6522	198	2	pure	pure	PROPN
ejpam-6522	198	3	appl	appl	PROPN
ejpam-6522	198	4	.	.	PROPN
ejpam-6522	198	5	math	math	PROPN
ejpam-6522	198	6	,	,	PUNCT
ejpam-6522	198	7	18	18	NUM
ejpam-6522	198	8	(	(	PUNCT
ejpam-6522	198	9	3	3	NUM
ejpam-6522	198	10	)	)	PUNCT
ejpam-6522	198	11	(	(	PUNCT
ejpam-6522	198	12	2025	2025	NUM
ejpam-6522	198	13	)	)	PUNCT
ejpam-6522	198	14	,	,	PUNCT
ejpam-6522	198	15	6522	6522	NUM
ejpam-6522	198	16	9	9	NUM
ejpam-6522	198	17	of	of	ADP
ejpam-6522	198	18	23	23	NUM
ejpam-6522	198	19	5	5	NUM
ejpam-6522	198	20	.	.	PUNCT
ejpam-6522	198	21	global	global	ADJ
ejpam-6522	198	22	stability	stability	NOUN
ejpam-6522	198	23	of	of	ADP
ejpam-6522	198	24	equilibrium	equilibrium	NOUN
ejpam-6522	198	25	points	point	NOUN
ejpam-6522	198	26	lyapunov	lyapunov	PROPN
ejpam-6522	198	27	’s	’s	PART
ejpam-6522	198	28	direct	direct	ADJ
ejpam-6522	198	29	method	method	NOUN
ejpam-6522	198	30	,	,	PUNCT
ejpam-6522	198	31	also	also	ADV
ejpam-6522	198	32	known	know	VERB
ejpam-6522	198	33	as	as	ADP
ejpam-6522	198	34	the	the	DET
ejpam-6522	198	35	second	second	ADJ
ejpam-6522	198	36	lyapunov	lyapunov	NOUN
ejpam-6522	198	37	method	method	NOUN
ejpam-6522	198	38	,	,	PUNCT
ejpam-6522	198	39	gives	give	VERB
ejpam-6522	198	40	us	we	PRON
ejpam-6522	198	41	an	an	DET
ejpam-6522	198	42	effective	effective	ADJ
ejpam-6522	198	43	way	way	NOUN
ejpam-6522	198	44	to	to	PART
ejpam-6522	198	45	analyze	analyze	VERB
ejpam-6522	198	46	the	the	DET
ejpam-6522	198	47	global	global	ADJ
ejpam-6522	198	48	behavior	behavior	NOUN
ejpam-6522	198	49	of	of	ADP
ejpam-6522	198	50	a	a	DET
ejpam-6522	198	51	system	system	NOUN
ejpam-6522	198	52	without	without	ADP
ejpam-6522	198	53	explicitly	explicitly	ADV
ejpam-6522	198	54	solving	solve	VERB
ejpam-6522	198	55	it	it	PRON
ejpam-6522	198	56	.	.	PUNCT
ejpam-6522	199	1	classical	classical	ADJ
ejpam-6522	199	2	lyapunov	lyapunov	ADJ
ejpam-6522	199	3	functions	function	NOUN
ejpam-6522	199	4	in	in	ADP
ejpam-6522	199	5	mathematical	mathematical	ADJ
ejpam-6522	199	6	biology	biology	NOUN
ejpam-6522	199	7	are	be	AUX
ejpam-6522	199	8	linear	linear	ADJ
ejpam-6522	199	9	combinations	combination	NOUN
ejpam-6522	199	10	of	of	ADP
ejpam-6522	199	11	linear	linear	ADJ
ejpam-6522	199	12	,	,	PUNCT
ejpam-6522	199	13	common	common	ADJ
ejpam-6522	199	14	quadratic	quadratic	ADJ
ejpam-6522	199	15	,	,	PUNCT
ejpam-6522	199	16	and	and	CCONJ
ejpam-6522	199	17	volterra	volterra	NOUN
ejpam-6522	199	18	-	-	PUNCT
ejpam-6522	199	19	type	type	NOUN
ejpam-6522	199	20	functions	function	NOUN
ejpam-6522	199	21	[	[	X
ejpam-6522	199	22	27	27	NUM
ejpam-6522	199	23	,	,	PUNCT
ejpam-6522	199	24	37	37	NUM
ejpam-6522	199	25	,	,	PUNCT
ejpam-6522	199	26	45	45	NUM
ejpam-6522	199	27	]	]	PUNCT
ejpam-6522	199	28	.	.	PUNCT
ejpam-6522	200	1	we	we	PRON
ejpam-6522	200	2	now	now	ADV
ejpam-6522	200	3	examine	examine	VERB
ejpam-6522	200	4	the	the	DET
ejpam-6522	200	5	global	global	ADJ
ejpam-6522	200	6	asymptotic	asymptotic	ADJ
ejpam-6522	200	7	stability	stability	NOUN
ejpam-6522	200	8	of	of	ADP
ejpam-6522	200	9	the	the	DET
ejpam-6522	200	10	wu	wu	PROPN
ejpam-6522	200	11	equilibrium	equilibrium	PROPN
ejpam-6522	200	12	point	point	PROPN
ejpam-6522	200	13	e2	e2	PROPN
ejpam-6522	200	14	,	,	PUNCT
ejpam-6522	200	15	the	the	DET
ejpam-6522	200	16	wi	wi	PROPN
ejpam-6522	200	17	mosquito	mosquito	PROPN
ejpam-6522	200	18	equilibrium	equilibrium	PROPN
ejpam-6522	200	19	point	point	NOUN
ejpam-6522	200	20	e3	e3	NOUN
ejpam-6522	200	21	,	,	PUNCT
ejpam-6522	200	22	and	and	CCONJ
ejpam-6522	200	23	the	the	DET
ejpam-6522	200	24	combined	combined	ADJ
ejpam-6522	200	25	wu	wu	PROPN
ejpam-6522	200	26	and	and	CCONJ
ejpam-6522	200	27	wi	wi	PROPN
ejpam-6522	200	28	equilibrium	equilibrium	NOUN
ejpam-6522	200	29	point	point	NOUN
ejpam-6522	200	30	e4	e4	PROPN
ejpam-6522	200	31	of	of	ADP
ejpam-6522	200	32	system	system	NOUN
ejpam-6522	200	33	(	(	PUNCT
ejpam-6522	200	34	1	1	NUM
ejpam-6522	200	35	)	)	PUNCT
ejpam-6522	200	36	.	.	PUNCT
ejpam-6522	201	1	the	the	DET
ejpam-6522	201	2	equilibrium	equilibrium	NOUN
ejpam-6522	201	3	point	point	NOUN
ejpam-6522	201	4	for	for	ADP
ejpam-6522	201	5	adult	adult	NOUN
ejpam-6522	201	6	female	female	NOUN
ejpam-6522	201	7	wi	wi	PROPN
ejpam-6522	201	8	mosquitoes	mosquito	NOUN
ejpam-6522	201	9	derived	derive	VERB
ejpam-6522	201	10	from	from	ADP
ejpam-6522	201	11	eq	eq	ADP
ejpam-6522	201	12	.	.	PUNCT
ejpam-6522	202	1	(	(	PUNCT
ejpam-6522	202	2	11	11	NUM
ejpam-6522	202	3	)	)	PUNCT
ejpam-6522	202	4	can	can	AUX
ejpam-6522	202	5	be	be	AUX
ejpam-6522	202	6	written	write	VERB
ejpam-6522	202	7	as	as	ADP
ejpam-6522	202	8	f	f	PROPN
ejpam-6522	202	9	∗	∗	NOUN
ejpam-6522	202	10	w	w	PROPN
ejpam-6522	203	1	=	=	PUNCT
ejpam-6522	203	2	ψk	ψk	NOUN
ejpam-6522	203	3	2µw	2µw	NOUN
ejpam-6522	203	4	(	(	PUNCT
ejpam-6522	203	5	1−	1−	NUM
ejpam-6522	203	6	1−	1−	NUM
ejpam-6522	203	7	ρ2	ρ2	NOUN
ejpam-6522	203	8	r0w|w̄r0w̄	r0w|w̄r0w̄	NOUN
ejpam-6522	203	9	)	)	PUNCT
ejpam-6522	203	10	.	.	PUNCT
ejpam-6522	204	1	(	(	PUNCT
ejpam-6522	204	2	15	15	X
ejpam-6522	204	3	)	)	PUNCT
ejpam-6522	204	4	the	the	DET
ejpam-6522	204	5	above	above	ADJ
ejpam-6522	204	6	expression	expression	NOUN
ejpam-6522	204	7	clearly	clearly	ADV
ejpam-6522	204	8	shows	show	VERB
ejpam-6522	204	9	that	that	SCONJ
ejpam-6522	204	10	when	when	SCONJ
ejpam-6522	204	11	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	204	12	<	<	X
ejpam-6522	204	13	1	1	NUM
ejpam-6522	204	14	,	,	PUNCT
ejpam-6522	204	15	the	the	DET
ejpam-6522	204	16	wi	wi	PROPN
ejpam-6522	204	17	mosquitoes	mosquitoes	PROPN
ejpam-6522	204	18	-	-	PUNCT
ejpam-6522	204	19	only	only	ADJ
ejpam-6522	204	20	equilibrium	equilibrium	NOUN
ejpam-6522	204	21	may	may	AUX
ejpam-6522	204	22	exist	exist	VERB
ejpam-6522	204	23	.	.	PUNCT
ejpam-6522	205	1	the	the	DET
ejpam-6522	205	2	conventional	conventional	ADJ
ejpam-6522	205	3	infectious	infectious	ADJ
ejpam-6522	205	4	diseases	disease	NOUN
ejpam-6522	205	5	modeling	model	VERB
ejpam-6522	205	6	work	work	NOUN
ejpam-6522	205	7	indicates	indicate	VERB
ejpam-6522	205	8	a	a	DET
ejpam-6522	205	9	backward	backward	ADJ
ejpam-6522	205	10	bifurcation	bifurcation	NOUN
ejpam-6522	205	11	in	in	ADP
ejpam-6522	205	12	the	the	DET
ejpam-6522	205	13	presence	presence	NOUN
ejpam-6522	205	14	of	of	ADP
ejpam-6522	205	15	endemic	endemic	ADJ
ejpam-6522	205	16	equilibria	equilibrium	NOUN
ejpam-6522	205	17	for	for	ADP
ejpam-6522	205	18	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	205	19	<	<	X
ejpam-6522	205	20	1	1	NUM
ejpam-6522	205	21	[	[	X
ejpam-6522	205	22	46	46	NUM
ejpam-6522	205	23	]	]	PUNCT
ejpam-6522	205	24	.	.	PUNCT
ejpam-6522	206	1	this	this	DET
ejpam-6522	206	2	equilibrium	equilibrium	NOUN
ejpam-6522	206	3	is	be	AUX
ejpam-6522	206	4	unstable	unstable	ADJ
ejpam-6522	206	5	when	when	SCONJ
ejpam-6522	206	6	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	206	7	<	<	X
ejpam-6522	206	8	1−ρ2	1−ρ2	NUM
ejpam-6522	206	9	r0w̄	r0w̄	NUM
ejpam-6522	206	10	(=	(=	NOUN
ejpam-6522	206	11	⇒r0w	⇒r0w	X
ejpam-6522	206	12	<	<	X
ejpam-6522	206	13	1	1	NUM
ejpam-6522	206	14	)	)	PUNCT
ejpam-6522	206	15	and	and	CCONJ
ejpam-6522	206	16	locally	locally	ADV
ejpam-6522	206	17	asymptotically	asymptotically	ADV
ejpam-6522	206	18	stable	stable	ADJ
ejpam-6522	206	19	even	even	ADV
ejpam-6522	206	20	when	when	SCONJ
ejpam-6522	206	21	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	206	22	<	<	X
ejpam-6522	206	23	1	1	NUM
ejpam-6522	206	24	,	,	PUNCT
ejpam-6522	206	25	since	since	SCONJ
ejpam-6522	206	26	r0w̄	r0w̄	X
ejpam-6522	206	27	>	>	X
ejpam-6522	206	28	1	1	NUM
ejpam-6522	206	29	and	and	CCONJ
ejpam-6522	206	30	µw̄	µw̄	ADP
ejpam-6522	206	31	>	>	X
ejpam-6522	206	32	ρ2µw	ρ2µw	NOUN
ejpam-6522	206	33	.	.	PUNCT
ejpam-6522	207	1	whenever	whenever	SCONJ
ejpam-6522	207	2	r0w|w̄	r0w|w̄	VERB
ejpam-6522	207	3	<	<	X
ejpam-6522	207	4	1	1	NUM
ejpam-6522	207	5	,	,	PUNCT
ejpam-6522	207	6	both	both	DET
ejpam-6522	207	7	equilibrium	equilibrium	NOUN
ejpam-6522	207	8	points	point	NOUN
ejpam-6522	207	9	e2	e2	PROPN
ejpam-6522	207	10	and	and	CCONJ
ejpam-6522	207	11	e3	e3	NOUN
ejpam-6522	207	12	are	be	AUX
ejpam-6522	207	13	locally	locally	ADV
ejpam-6522	207	14	asymptotically	asymptotically	ADV
ejpam-6522	207	15	stable	stable	ADJ
ejpam-6522	207	16	since	since	SCONJ
ejpam-6522	207	17	r0w̄	r0w̄	X
ejpam-6522	207	18	>	>	X
ejpam-6522	207	19	1	1	NUM
ejpam-6522	207	20	for	for	ADP
ejpam-6522	207	21	e2	e2	PROPN
ejpam-6522	207	22	,	,	PUNCT
ejpam-6522	207	23	r0w	r0w	PROPN
ejpam-6522	207	24	>	>	X
ejpam-6522	207	25	1	1	NUM
ejpam-6522	207	26	and	and	CCONJ
ejpam-6522	207	27	µw̄	µw̄	ADV
ejpam-6522	207	28	>	>	X
ejpam-6522	207	29	ρ2µw	ρ2µw	X
ejpam-6522	207	30	for	for	ADP
ejpam-6522	207	31	e3	e3	NOUN
ejpam-6522	207	32	.	.	PUNCT
ejpam-6522	208	1	theorem	theorem	NOUN
ejpam-6522	208	2	2	2	NUM
ejpam-6522	208	3	.	.	PUNCT
ejpam-6522	209	1	the	the	DET
ejpam-6522	209	2	equilibrium	equilibrium	NOUN
ejpam-6522	209	3	point	point	NOUN
ejpam-6522	209	4	e2	e2	PROPN
ejpam-6522	209	5	=	=	SYM
ejpam-6522	209	6	(	(	PUNCT
ejpam-6522	209	7	q∗	q∗	PROPN
ejpam-6522	209	8	w̄	w̄	NOUN
ejpam-6522	209	9	,	,	PUNCT
ejpam-6522	209	10	0	0	NUM
ejpam-6522	209	11	,	,	PUNCT
ejpam-6522	209	12	f	f	PROPN
ejpam-6522	209	13	∗	∗	NOUN
ejpam-6522	209	14	w̄	w̄	NOUN
ejpam-6522	209	15	,	,	PUNCT
ejpam-6522	209	16	0	0	NUM
ejpam-6522	209	17	)	)	PUNCT
ejpam-6522	209	18	is	be	AUX
ejpam-6522	209	19	globally	globally	ADV
ejpam-6522	209	20	asymptotically	asymptotically	ADV
ejpam-6522	209	21	stable	stable	ADJ
ejpam-6522	209	22	whenever	whenever	SCONJ
ejpam-6522	209	23	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	209	24	>	>	SYM
ejpam-6522	209	25	1	1	NUM
ejpam-6522	209	26	and	and	CCONJ
ejpam-6522	209	27	r0w̄	r0w̄	X
ejpam-6522	209	28	>	>	X
ejpam-6522	209	29	1	1	X
ejpam-6522	209	30	.	.	PUNCT
ejpam-6522	209	31	proof	proof	NOUN
ejpam-6522	209	32	.	.	PUNCT
ejpam-6522	210	1	let	let	VERB
ejpam-6522	210	2	us	we	PRON
ejpam-6522	210	3	consider	consider	VERB
ejpam-6522	210	4	the	the	DET
ejpam-6522	210	5	following	follow	VERB
ejpam-6522	210	6	lyapunov	lyapunov	NOUN
ejpam-6522	210	7	function	function	NOUN
ejpam-6522	210	8	:	:	PUNCT
ejpam-6522	210	9	v1(qw̄(t	v1(qw̄(t	NOUN
ejpam-6522	210	10	)	)	PUNCT
ejpam-6522	210	11	,	,	PUNCT
ejpam-6522	210	12	fw̄(t	fw̄(t	NOUN
ejpam-6522	210	13	)	)	PUNCT
ejpam-6522	210	14	)	)	PUNCT
ejpam-6522	211	1	=	=	PUNCT
ejpam-6522	212	1	ψϕw̄	ψϕw̄	NOUN
ejpam-6522	213	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	213	2	+	+	SYM
ejpam-6522	213	3	ψ	ψ	X
ejpam-6522	213	4	)	)	PUNCT
ejpam-6522	213	5	∫	∫	PROPN
ejpam-6522	213	6	qw̄	qw̄	PROPN
ejpam-6522	213	7	q∗	q∗	PROPN
ejpam-6522	213	8	w̄	w̄	NOUN
ejpam-6522	213	9	(	(	PUNCT
ejpam-6522	213	10	1−	1−	NUM
ejpam-6522	213	11	q∗	q∗	NOUN
ejpam-6522	213	12	w̄	w̄	NOUN
ejpam-6522	213	13	x	x	SYM
ejpam-6522	213	14	)	)	PUNCT
ejpam-6522	213	15	dx+	dx+	NOUN
ejpam-6522	213	16	1	1	NUM
ejpam-6522	213	17	µw̄	µw̄	ADP
ejpam-6522	213	18	∫	∫	PROPN
ejpam-6522	213	19	fw̄	fw̄	PROPN
ejpam-6522	213	20	f	f	PROPN
ejpam-6522	213	21	∗	∗	X
ejpam-6522	213	22	w̄	w̄	NOUN
ejpam-6522	213	23	(	(	PUNCT
ejpam-6522	213	24	1−	1−	NUM
ejpam-6522	213	25	f	f	NOUN
ejpam-6522	213	26	∗	∗	VERB
ejpam-6522	213	27	w̄	w̄	NOUN
ejpam-6522	213	28	x	x	X
ejpam-6522	213	29	)	)	PUNCT
ejpam-6522	213	30	dx	dx	PROPN
ejpam-6522	213	31	=	=	PUNCT
ejpam-6522	213	32	ψϕw̄	ψϕw̄	NOUN
ejpam-6522	214	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	214	2	+	+	SYM
ejpam-6522	214	3	ψ	ψ	X
ejpam-6522	214	4	)	)	PUNCT
ejpam-6522	214	5	[	[	PUNCT
ejpam-6522	214	6	qw̄	qw̄	NOUN
ejpam-6522	214	7	−q∗	−q∗	PROPN
ejpam-6522	214	8	w̄	w̄	NOUN
ejpam-6522	214	9	−q∗	−q∗	PROPN
ejpam-6522	214	10	w̄	w̄	NOUN
ejpam-6522	214	11	ln	ln	ADV
ejpam-6522	214	12	(	(	PUNCT
ejpam-6522	214	13	q∗	q∗	NOUN
ejpam-6522	214	14	w̄	w̄	NOUN
ejpam-6522	214	15	qw̄	qw̄	NOUN
ejpam-6522	214	16	)	)	PUNCT
ejpam-6522	214	17	]	]	PUNCT
ejpam-6522	215	1	+	+	CCONJ
ejpam-6522	215	2	1	1	NUM
ejpam-6522	215	3	µw̄	µw̄	ADV
ejpam-6522	215	4	[	[	PUNCT
ejpam-6522	215	5	fw̄	fw̄	ADJ
ejpam-6522	215	6	−	−	PROPN
ejpam-6522	215	7	f	f	PROPN
ejpam-6522	215	8	∗	∗	NOUN
ejpam-6522	215	9	w̄	w̄	NOUN
ejpam-6522	215	10	−	−	PROPN
ejpam-6522	215	11	f	f	PROPN
ejpam-6522	215	12	∗	∗	VERB
ejpam-6522	215	13	w̄	w̄	NOUN
ejpam-6522	215	14	ln	ln	NOUN
ejpam-6522	215	15	(	(	PUNCT
ejpam-6522	215	16	fw̄	fw̄	ADJ
ejpam-6522	215	17	fw̄	fw̄	NOUN
ejpam-6522	215	18	)	)	PUNCT
ejpam-6522	215	19	]	]	PUNCT
ejpam-6522	215	20	.	.	PUNCT
ejpam-6522	216	1	(	(	PUNCT
ejpam-6522	216	2	16	16	NUM
ejpam-6522	216	3	)	)	PUNCT
ejpam-6522	216	4	the	the	DET
ejpam-6522	216	5	v1	v1	NOUN
ejpam-6522	216	6	is	be	AUX
ejpam-6522	216	7	a	a	DET
ejpam-6522	216	8	well	well	ADV
ejpam-6522	216	9	-	-	PUNCT
ejpam-6522	216	10	defined	define	VERB
ejpam-6522	216	11	,	,	PUNCT
ejpam-6522	216	12	continuous	continuous	ADJ
ejpam-6522	216	13	,	,	PUNCT
ejpam-6522	216	14	and	and	CCONJ
ejpam-6522	216	15	positive	positive	ADJ
ejpam-6522	216	16	definite	definite	ADJ
ejpam-6522	216	17	function	function	NOUN
ejpam-6522	216	18	.	.	PUNCT
ejpam-6522	217	1	utilizing	utilize	VERB
ejpam-6522	217	2	the	the	DET
ejpam-6522	217	3	property	property	NOUN
ejpam-6522	217	4	of	of	ADP
ejpam-6522	217	5	fractional	fractional	ADJ
ejpam-6522	217	6	derivatives	derivative	NOUN
ejpam-6522	217	7	as	as	SCONJ
ejpam-6522	217	8	defined	define	VERB
ejpam-6522	217	9	in	in	ADP
ejpam-6522	217	10	the	the	DET
ejpam-6522	217	11	lemma	lemma	PROPN
ejpam-6522	217	12	1	1	NUM
ejpam-6522	217	13	,	,	PUNCT
ejpam-6522	217	14	we	we	PRON
ejpam-6522	217	15	compute	compute	VERB
ejpam-6522	217	16	the	the	DET
ejpam-6522	217	17	derivative	derivative	NOUN
ejpam-6522	217	18	of	of	ADP
ejpam-6522	217	19	eq	eq	PROPN
ejpam-6522	217	20	.	.	PUNCT
ejpam-6522	218	1	(	(	PUNCT
ejpam-6522	218	2	16	16	NUM
ejpam-6522	218	3	)	)	PUNCT
ejpam-6522	218	4	with	with	ADP
ejpam-6522	218	5	respect	respect	NOUN
ejpam-6522	218	6	to	to	ADP
ejpam-6522	218	7	time	time	NOUN
ejpam-6522	218	8	along	along	ADP
ejpam-6522	218	9	the	the	DET
ejpam-6522	218	10	solution	solution	NOUN
ejpam-6522	218	11	of	of	ADP
ejpam-6522	218	12	system	system	NOUN
ejpam-6522	218	13	(	(	PUNCT
ejpam-6522	218	14	1	1	NUM
ejpam-6522	218	15	)	)	PUNCT
ejpam-6522	219	1	and	and	CCONJ
ejpam-6522	219	2	we	we	PRON
ejpam-6522	219	3	demonstrate	demonstrate	VERB
ejpam-6522	219	4	that	that	SCONJ
ejpam-6522	219	5	the	the	DET
ejpam-6522	219	6	corresponding	corresponding	ADJ
ejpam-6522	219	7	fractional	fractional	ADJ
ejpam-6522	219	8	derivative	derivative	NOUN
ejpam-6522	219	9	is	be	AUX
ejpam-6522	219	10	negative	negative	ADJ
ejpam-6522	219	11	definite	definite	ADJ
ejpam-6522	219	12	,	,	PUNCT
ejpam-6522	219	13	using	use	VERB
ejpam-6522	219	14	lemma	lemma	PROPN
ejpam-6522	219	15	3.1	3.1	NUM
ejpam-6522	219	16	in	in	ADP
ejpam-6522	219	17	[	[	X
ejpam-6522	219	18	45	45	NUM
ejpam-6522	219	19	]	]	PUNCT
ejpam-6522	219	20	,	,	PUNCT
ejpam-6522	219	21	we	we	PRON
ejpam-6522	219	22	have	have	VERB
ejpam-6522	219	23	cdαv1(qw̄(t	cdαv1(qw̄(t	NOUN
ejpam-6522	219	24	)	)	PUNCT
ejpam-6522	219	25	,	,	PUNCT
ejpam-6522	219	26	fw̄(t	fw̄(t	NOUN
ejpam-6522	219	27	)	)	PUNCT
ejpam-6522	219	28	)	)	PUNCT
ejpam-6522	219	29	≤	≤	NOUN
ejpam-6522	219	30	ψϕw̄	ψϕw̄	NOUN
ejpam-6522	220	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	220	2	+	+	SYM
ejpam-6522	220	3	ψ	ψ	X
ejpam-6522	220	4	)	)	PUNCT
ejpam-6522	220	5	(	(	PUNCT
ejpam-6522	220	6	1−	1−	NUM
ejpam-6522	220	7	q∗	q∗	NOUN
ejpam-6522	220	8	w	w	PROPN
ejpam-6522	220	9	qw̄	qw̄	NOUN
ejpam-6522	220	10	)	)	PUNCT
ejpam-6522	220	11	cdαqw̄(t	cdαqw̄(t	PROPN
ejpam-6522	220	12	)	)	PUNCT
ejpam-6522	221	1	+	+	CCONJ
ejpam-6522	221	2	1	1	NUM
ejpam-6522	221	3	µw̄	µw̄	ADP
ejpam-6522	221	4	(	(	PUNCT
ejpam-6522	221	5	1−	1−	NUM
ejpam-6522	221	6	f	f	PROPN
ejpam-6522	221	7	∗	∗	X
ejpam-6522	221	8	w̄	w̄	NOUN
ejpam-6522	221	9	fw̄	fw̄	ADJ
ejpam-6522	221	10	)	)	PUNCT
ejpam-6522	221	11	cdαfw̄(t	cdαfw̄(t	NOUN
ejpam-6522	221	12	)	)	PUNCT
ejpam-6522	221	13	.	.	PUNCT
ejpam-6522	222	1	(	(	PUNCT
ejpam-6522	222	2	17	17	NUM
ejpam-6522	222	3	)	)	PUNCT
ejpam-6522	222	4	substituting	substitute	VERB
ejpam-6522	222	5	the	the	DET
ejpam-6522	222	6	expression	expression	NOUN
ejpam-6522	222	7	for	for	ADP
ejpam-6522	222	8	the	the	DET
ejpam-6522	222	9	model	model	NOUN
ejpam-6522	222	10	(	(	PUNCT
ejpam-6522	222	11	1	1	X
ejpam-6522	222	12	)	)	PUNCT
ejpam-6522	222	13	we	we	PRON
ejpam-6522	222	14	have	have	AUX
ejpam-6522	222	15	,	,	PUNCT
ejpam-6522	222	16	ψϕw̄	ψϕw̄	X
ejpam-6522	223	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	223	2	+	+	SYM
ejpam-6522	223	3	ψ	ψ	X
ejpam-6522	223	4	)	)	PUNCT
ejpam-6522	223	5	(	(	PUNCT
ejpam-6522	223	6	1−	1−	NUM
ejpam-6522	223	7	q∗	q∗	NOUN
ejpam-6522	223	8	w̄	w̄	NOUN
ejpam-6522	223	9	qw̄	qw̄	NOUN
ejpam-6522	223	10	)	)	PUNCT
ejpam-6522	223	11	cdαqw̄(t	cdαqw̄(t	PROPN
ejpam-6522	223	12	)	)	PUNCT
ejpam-6522	223	13	=	=	PUNCT
ejpam-6522	224	1	ψϕw̄	ψϕw̄	NOUN
ejpam-6522	225	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	225	2	+	+	SYM
ejpam-6522	225	3	ψ	ψ	X
ejpam-6522	225	4	)	)	PUNCT
ejpam-6522	225	5	(	(	PUNCT
ejpam-6522	225	6	1−	1−	NUM
ejpam-6522	225	7	q∗	q∗	NOUN
ejpam-6522	225	8	w̄	w̄	NOUN
ejpam-6522	225	9	qw̄	qw̄	NOUN
ejpam-6522	225	10	)	)	PUNCT
ejpam-6522	226	1	[	[	PUNCT
ejpam-6522	226	2	λ1	λ1	PROPN
ejpam-6522	226	3	(	(	PUNCT
ejpam-6522	226	4	1−	1−	NUM
ejpam-6522	226	5	q	q	PROPN
ejpam-6522	226	6	k	k	PROPN
ejpam-6522	226	7	)	)	PUNCT
ejpam-6522	226	8	−	−	PROPN
ejpam-6522	226	9	(	(	PUNCT
ejpam-6522	226	10	µa	µa	NOUN
ejpam-6522	226	11	+	+	CCONJ
ejpam-6522	226	12	ψ)qw̄	ψ)qw̄	X
ejpam-6522	226	13	]	]	PUNCT
ejpam-6522	226	14	=	=	SYM
ejpam-6522	226	15	ψϕw̄λ1	ψϕw̄λ1	PRON
ejpam-6522	226	16	2µw̄(µa	2µw̄(µa	PROPN
ejpam-6522	226	17	+	+	CCONJ
ejpam-6522	226	18	ψ	ψ	X
ejpam-6522	226	19	)	)	PUNCT
ejpam-6522	226	20	(	(	PUNCT
ejpam-6522	226	21	1−	1−	NUM
ejpam-6522	226	22	q∗	q∗	NOUN
ejpam-6522	226	23	w̄	w̄	NOUN
ejpam-6522	226	24	qw̄	qw̄	NOUN
ejpam-6522	226	25	)	)	PUNCT
ejpam-6522	226	26	(	(	PUNCT
ejpam-6522	226	27	1−	1−	NUM
ejpam-6522	226	28	q	q	PROPN
ejpam-6522	226	29	k	k	PROPN
ejpam-6522	226	30	)	)	PUNCT
ejpam-6522	226	31	−	−	PROPN
ejpam-6522	226	32	ψqw̄	ψqw̄	NOUN
ejpam-6522	226	33	2µw̄	2µw̄	NUM
ejpam-6522	227	1	+	+	CCONJ
ejpam-6522	227	2	ψq∗	ψq∗	ADJ
ejpam-6522	227	3	w̄	w̄	NOUN
ejpam-6522	227	4	2µw̄	2µw̄	NUM
ejpam-6522	227	5	,	,	PUNCT
ejpam-6522	227	6	(	(	PUNCT
ejpam-6522	227	7	18	18	NUM
ejpam-6522	227	8	)	)	PUNCT
ejpam-6522	227	9	m.	m.	NOUN
ejpam-6522	227	10	yar	yar	PROPN
ejpam-6522	227	11	,	,	PUNCT
ejpam-6522	227	12	s.	s.	PROPN
ejpam-6522	227	13	javeed	javeed	PROPN
ejpam-6522	227	14	,	,	PUNCT
ejpam-6522	227	15	t.	t.	PROPN
ejpam-6522	227	16	abbas	abbas	PROPN
ejpam-6522	227	17	khan	khan	PROPN
ejpam-6522	227	18	/	/	SYM
ejpam-6522	227	19	eur	eur	PROPN
ejpam-6522	227	20	.	.	PUNCT
ejpam-6522	228	1	j.	j.	PROPN
ejpam-6522	228	2	pure	pure	PROPN
ejpam-6522	228	3	appl	appl	PROPN
ejpam-6522	228	4	.	.	PROPN
ejpam-6522	228	5	math	math	PROPN
ejpam-6522	228	6	,	,	PUNCT
ejpam-6522	228	7	18	18	NUM
ejpam-6522	228	8	(	(	PUNCT
ejpam-6522	228	9	3	3	NUM
ejpam-6522	228	10	)	)	PUNCT
ejpam-6522	228	11	(	(	PUNCT
ejpam-6522	228	12	2025	2025	NUM
ejpam-6522	228	13	)	)	PUNCT
ejpam-6522	228	14	,	,	PUNCT
ejpam-6522	228	15	6522	6522	NUM
ejpam-6522	228	16	10	10	NUM
ejpam-6522	228	17	of	of	ADP
ejpam-6522	228	18	23	23	NUM
ejpam-6522	228	19	where	where	SCONJ
ejpam-6522	228	20	λ1	λ1	ADJ
ejpam-6522	228	21	=	=	SYM
ejpam-6522	228	22	(	(	PUNCT
ejpam-6522	228	23	ϕw̄f	ϕw̄f	PROPN
ejpam-6522	228	24	2	2	NUM
ejpam-6522	228	25	w̄+ρ2ϕwfwfw̄	w̄+ρ2ϕwfwfw̄	NOUN
ejpam-6522	228	26	fw̄+fw	fw̄+fw	NOUN
ejpam-6522	228	27	)	)	PUNCT
ejpam-6522	228	28	and	and	CCONJ
ejpam-6522	228	29	,	,	PUNCT
ejpam-6522	228	30	1	1	NUM
ejpam-6522	228	31	µw̄	µw̄	ADP
ejpam-6522	228	32	(	(	PUNCT
ejpam-6522	228	33	1−	1−	NUM
ejpam-6522	228	34	f	f	PROPN
ejpam-6522	228	35	∗	∗	X
ejpam-6522	228	36	w̄	w̄	NOUN
ejpam-6522	228	37	fw̄	fw̄	ADJ
ejpam-6522	228	38	)	)	PUNCT
ejpam-6522	228	39	cdαfw̄(t	cdαfw̄(t	NOUN
ejpam-6522	228	40	)	)	PUNCT
ejpam-6522	228	41	=	=	SYM
ejpam-6522	229	1	1	1	NUM
ejpam-6522	229	2	µw̄	µw̄	ADP
ejpam-6522	229	3	(	(	PUNCT
ejpam-6522	229	4	1−	1−	NUM
ejpam-6522	229	5	f	f	PROPN
ejpam-6522	229	6	∗	∗	X
ejpam-6522	229	7	w̄	w̄	NOUN
ejpam-6522	229	8	fw̄	fw̄	NOUN
ejpam-6522	229	9	)	)	PUNCT
ejpam-6522	229	10	(	(	PUNCT
ejpam-6522	229	11	ψ	ψ	X
ejpam-6522	229	12	2	2	NUM
ejpam-6522	229	13	qw̄	qw̄	NOUN
ejpam-6522	229	14	−	−	NOUN
ejpam-6522	229	15	µw̄fw̄	µw̄fw̄	NOUN
ejpam-6522	229	16	)	)	PUNCT
ejpam-6522	229	17	=	=	SYM
ejpam-6522	229	18	ψqw̄	ψqw̄	NOUN
ejpam-6522	229	19	2µw̄	2µw̄	NUM
ejpam-6522	230	1	−	−	NOUN
ejpam-6522	230	2	ψqw̄f	ψqw̄f	PRON
ejpam-6522	230	3	∗	∗	NOUN
ejpam-6522	230	4	w̄	w̄	NOUN
ejpam-6522	230	5	2µw̄fw̄	2µw̄fw̄	NOUN
ejpam-6522	230	6	−	−	NOUN
ejpam-6522	230	7	fw̄	fw̄	ADJ
ejpam-6522	231	1	+	+	CCONJ
ejpam-6522	231	2	f	f	PROPN
ejpam-6522	231	3	∗	∗	NOUN
ejpam-6522	231	4	w̄.	w̄.	PUNCT
ejpam-6522	231	5	(	(	PUNCT
ejpam-6522	231	6	19	19	NUM
ejpam-6522	231	7	)	)	PUNCT
ejpam-6522	231	8	adding	add	VERB
ejpam-6522	231	9	eqs.(18	eqs.(18	PROPN
ejpam-6522	231	10	)	)	PUNCT
ejpam-6522	231	11	and	and	CCONJ
ejpam-6522	231	12	(	(	PUNCT
ejpam-6522	231	13	19	19	NUM
ejpam-6522	231	14	)	)	PUNCT
ejpam-6522	231	15	yields	yield	NOUN
ejpam-6522	231	16	cdαv1(qw̄(t	cdαv1(qw̄(t	NOUN
ejpam-6522	231	17	)	)	PUNCT
ejpam-6522	231	18	,	,	PUNCT
ejpam-6522	231	19	fw̄(t	fw̄(t	NOUN
ejpam-6522	231	20	)	)	PUNCT
ejpam-6522	231	21	)	)	PUNCT
ejpam-6522	231	22	≤	≤	NOUN
ejpam-6522	232	1	ψϕw̄λ1	ψϕw̄λ1	PRON
ejpam-6522	232	2	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	232	3	+	+	CCONJ
ejpam-6522	232	4	ψ	ψ	X
ejpam-6522	232	5	)	)	PUNCT
ejpam-6522	232	6	(	(	PUNCT
ejpam-6522	232	7	1−	1−	NUM
ejpam-6522	232	8	q∗	q∗	NOUN
ejpam-6522	232	9	w̄	w̄	NOUN
ejpam-6522	232	10	qw̄	qw̄	NOUN
ejpam-6522	232	11	)	)	PUNCT
ejpam-6522	232	12	(	(	PUNCT
ejpam-6522	232	13	1−	1−	NUM
ejpam-6522	232	14	q	q	PROPN
ejpam-6522	232	15	k	k	PROPN
ejpam-6522	232	16	)	)	PUNCT
ejpam-6522	233	1	+	+	NUM
ejpam-6522	233	2	ψqw̄	ψqw̄	NOUN
ejpam-6522	233	3	2µw̄	2µw̄	NUM
ejpam-6522	234	1	−	−	NOUN
ejpam-6522	234	2	ψqw̄f	ψqw̄f	PRON
ejpam-6522	234	3	∗	∗	NOUN
ejpam-6522	234	4	w̄	w̄	NOUN
ejpam-6522	234	5	2µw̄fw̄	2µw̄fw̄	NOUN
ejpam-6522	234	6	−	−	NOUN
ejpam-6522	234	7	fw̄	fw̄	ADJ
ejpam-6522	235	1	+	+	CCONJ
ejpam-6522	235	2	f	f	PROPN
ejpam-6522	235	3	∗	∗	NOUN
ejpam-6522	235	4	w̄.	w̄.	PUNCT
ejpam-6522	235	5	(	(	PUNCT
ejpam-6522	235	6	20	20	NUM
ejpam-6522	235	7	)	)	PUNCT
ejpam-6522	235	8	using	use	VERB
ejpam-6522	235	9	the	the	DET
ejpam-6522	235	10	relations	relation	NOUN
ejpam-6522	235	11	at	at	ADP
ejpam-6522	235	12	the	the	DET
ejpam-6522	235	13	steady	steady	ADJ
ejpam-6522	235	14	state	state	NOUN
ejpam-6522	235	15	and	and	CCONJ
ejpam-6522	235	16	some	some	DET
ejpam-6522	235	17	algebraic	algebraic	ADJ
ejpam-6522	235	18	manipulations	manipulation	NOUN
ejpam-6522	235	19	,	,	PUNCT
ejpam-6522	235	20	we	we	PRON
ejpam-6522	235	21	get	get	VERB
ejpam-6522	235	22	cdαv1(qw̄(t	cdαv1(qw̄(t	ADJ
ejpam-6522	235	23	)	)	PUNCT
ejpam-6522	235	24	,	,	PUNCT
ejpam-6522	235	25	fw̄(t	fw̄(t	NOUN
ejpam-6522	235	26	)	)	PUNCT
ejpam-6522	235	27	)	)	PUNCT
ejpam-6522	236	1	≤	≤	NOUN
ejpam-6522	237	1	ψϕw̄λ1	ψϕw̄λ1	PRON
ejpam-6522	237	2	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	237	3	+	+	CCONJ
ejpam-6522	237	4	ψ	ψ	X
ejpam-6522	237	5	)	)	PUNCT
ejpam-6522	237	6	(	(	PUNCT
ejpam-6522	237	7	1−	1−	NUM
ejpam-6522	237	8	q∗	q∗	NOUN
ejpam-6522	237	9	w̄	w̄	NOUN
ejpam-6522	237	10	qw̄	qw̄	NOUN
ejpam-6522	237	11	)	)	PUNCT
ejpam-6522	237	12	(	(	PUNCT
ejpam-6522	237	13	1−	1−	NUM
ejpam-6522	237	14	q	q	PROPN
ejpam-6522	237	15	k	k	PROPN
ejpam-6522	237	16	)	)	PUNCT
ejpam-6522	238	1	+	+	CCONJ
ejpam-6522	238	2	f	f	PROPN
ejpam-6522	238	3	∗	∗	X
ejpam-6522	238	4	w̄	w̄	NOUN
ejpam-6522	238	5	(	(	PUNCT
ejpam-6522	238	6	2−	2−	NUM
ejpam-6522	238	7	qw̄f	qw̄f	NOUN
ejpam-6522	238	8	∗	∗	NOUN
ejpam-6522	238	9	w̄	w̄	NOUN
ejpam-6522	238	10	q∗	q∗	PROPN
ejpam-6522	238	11	w̄fw̄	w̄fw̄	X
ejpam-6522	238	12	−	−	PROPN
ejpam-6522	238	13	q∗	q∗	PROPN
ejpam-6522	238	14	w̄fw̄	w̄fw̄	X
ejpam-6522	238	15	qw̄f	qw̄f	VERB
ejpam-6522	238	16	∗	∗	NOUN
ejpam-6522	238	17	w̄	w̄	NOUN
ejpam-6522	238	18	)	)	PUNCT
ejpam-6522	238	19	−	−	PROPN
ejpam-6522	238	20	fw̄	fw̄	NOUN
ejpam-6522	238	21	(	(	PUNCT
ejpam-6522	238	22	1−	1−	NUM
ejpam-6522	238	23	q∗	q∗	NOUN
ejpam-6522	238	24	w̄	w̄	NOUN
ejpam-6522	238	25	qw̄	qw̄	NOUN
ejpam-6522	238	26	)	)	PUNCT
ejpam-6522	238	27	.	.	PUNCT
ejpam-6522	239	1	(	(	PUNCT
ejpam-6522	239	2	21	21	NUM
ejpam-6522	239	3	)	)	PUNCT
ejpam-6522	239	4	thus	thus	ADV
ejpam-6522	239	5	,	,	PUNCT
ejpam-6522	239	6	cdαv1(qw̄(t	cdαv1(qw̄(t	ADJ
ejpam-6522	239	7	)	)	PUNCT
ejpam-6522	239	8	,	,	PUNCT
ejpam-6522	239	9	fw̄(t	fw̄(t	NOUN
ejpam-6522	239	10	)	)	PUNCT
ejpam-6522	239	11	)	)	PUNCT
ejpam-6522	240	1	≤fw̄	≤fw̄	PROPN
ejpam-6522	240	2	(	(	PUNCT
ejpam-6522	240	3	1−	1−	NUM
ejpam-6522	240	4	q∗	q∗	NOUN
ejpam-6522	240	5	w̄	w̄	NOUN
ejpam-6522	240	6	qw̄	qw̄	NOUN
ejpam-6522	240	7	)	)	PUNCT
ejpam-6522	240	8	[	[	PUNCT
ejpam-6522	240	9	row̄(fw̄ϕw̄	row̄(fw̄ϕw̄	X
ejpam-6522	240	10	+	+	CCONJ
ejpam-6522	240	11	ρ2ϕwfw	ρ2ϕwfw	PROPN
ejpam-6522	240	12	)	)	PUNCT
ejpam-6522	240	13	fw̄	fw̄	NOUN
ejpam-6522	240	14	+	+	CCONJ
ejpam-6522	240	15	fw	fw	PROPN
ejpam-6522	240	16	(	(	PUNCT
ejpam-6522	240	17	1−	1−	NUM
ejpam-6522	240	18	q	q	PROPN
ejpam-6522	240	19	k	k	PROPN
ejpam-6522	240	20	)	)	PUNCT
ejpam-6522	240	21	−	−	PROPN
ejpam-6522	240	22	1	1	NUM
ejpam-6522	240	23	]	]	PUNCT
ejpam-6522	240	24	+	+	CCONJ
ejpam-6522	240	25	f	f	PROPN
ejpam-6522	240	26	∗	∗	X
ejpam-6522	240	27	w̄	w̄	NOUN
ejpam-6522	240	28	(	(	PUNCT
ejpam-6522	240	29	2−	2−	NUM
ejpam-6522	240	30	qw̄f	qw̄f	NOUN
ejpam-6522	240	31	∗	∗	NOUN
ejpam-6522	240	32	w̄	w̄	NOUN
ejpam-6522	240	33	q∗	q∗	PROPN
ejpam-6522	240	34	w̄fw̄	w̄fw̄	X
ejpam-6522	240	35	−	−	PROPN
ejpam-6522	240	36	q∗	q∗	PROPN
ejpam-6522	240	37	w̄fw̄	w̄fw̄	X
ejpam-6522	240	38	qw̄f	qw̄f	VERB
ejpam-6522	240	39	∗	∗	NOUN
ejpam-6522	240	40	w̄	w̄	NOUN
ejpam-6522	240	41	)	)	PUNCT
ejpam-6522	240	42	.	.	PUNCT
ejpam-6522	241	1	(	(	PUNCT
ejpam-6522	241	2	22	22	NUM
ejpam-6522	241	3	)	)	PUNCT
ejpam-6522	241	4	eq	eq	NOUN
ejpam-6522	241	5	.	.	PUNCT
ejpam-6522	242	1	(	(	PUNCT
ejpam-6522	242	2	22	22	NUM
ejpam-6522	242	3	)	)	PUNCT
ejpam-6522	242	4	can	can	AUX
ejpam-6522	242	5	be	be	AUX
ejpam-6522	242	6	reformulated	reformulate	VERB
ejpam-6522	242	7	as	as	ADP
ejpam-6522	242	8	cdαv1(qw̄(t	cdαv1(qw̄(t	NOUN
ejpam-6522	242	9	)	)	PUNCT
ejpam-6522	242	10	,	,	PUNCT
ejpam-6522	242	11	fw̄(t	fw̄(t	NOUN
ejpam-6522	242	12	)	)	PUNCT
ejpam-6522	242	13	)	)	PUNCT
ejpam-6522	243	1	≤f	≤f	PROPN
ejpam-6522	243	2	∗	∗	NOUN
ejpam-6522	243	3	w̄	w̄	NOUN
ejpam-6522	243	4	(	(	PUNCT
ejpam-6522	243	5	f	f	PROPN
ejpam-6522	243	6	∗	∗	VERB
ejpam-6522	243	7	w̄	w̄	NOUN
ejpam-6522	243	8	fw̄	fw̄	ADJ
ejpam-6522	243	9	+	+	CCONJ
ejpam-6522	243	10	qw̄f	qw̄f	NOUN
ejpam-6522	243	11	∗	∗	NOUN
ejpam-6522	243	12	w̄	w̄	NOUN
ejpam-6522	243	13	q∗	q∗	PROPN
ejpam-6522	243	14	w̄fw̄	w̄fw̄	X
ejpam-6522	243	15	−	−	NOUN
ejpam-6522	243	16	2	2	NUM
ejpam-6522	243	17	)	)	PUNCT
ejpam-6522	243	18	[	[	PUNCT
ejpam-6522	243	19	row̄(fw̄ϕw̄	row̄(fw̄ϕw̄	X
ejpam-6522	243	20	+	+	CCONJ
ejpam-6522	243	21	ρ2ϕwfw	ρ2ϕwfw	PROPN
ejpam-6522	243	22	)	)	PUNCT
ejpam-6522	243	23	fw̄	fw̄	NOUN
ejpam-6522	243	24	+	+	CCONJ
ejpam-6522	243	25	fw	fw	PROPN
ejpam-6522	243	26	(	(	PUNCT
ejpam-6522	243	27	1−	1−	NUM
ejpam-6522	243	28	q	q	PROPN
ejpam-6522	243	29	k	k	PROPN
ejpam-6522	243	30	)	)	PUNCT
ejpam-6522	243	31	−	−	PROPN
ejpam-6522	244	1	1	1	NUM
ejpam-6522	244	2	]	]	PUNCT
ejpam-6522	245	1	+	+	CCONJ
ejpam-6522	245	2	f	f	PROPN
ejpam-6522	245	3	∗	∗	X
ejpam-6522	245	4	w̄	w̄	NOUN
ejpam-6522	245	5	(	(	PUNCT
ejpam-6522	245	6	2−	2−	NUM
ejpam-6522	245	7	qw̄f	qw̄f	NOUN
ejpam-6522	245	8	∗	∗	NOUN
ejpam-6522	245	9	w̄	w̄	NOUN
ejpam-6522	245	10	q∗	q∗	PROPN
ejpam-6522	245	11	w̄fw̄	w̄fw̄	X
ejpam-6522	245	12	−	−	PROPN
ejpam-6522	245	13	q∗	q∗	PROPN
ejpam-6522	245	14	w̄fw̄	w̄fw̄	X
ejpam-6522	245	15	qw̄f	qw̄f	VERB
ejpam-6522	245	16	∗	∗	NOUN
ejpam-6522	245	17	w̄	w̄	NOUN
ejpam-6522	245	18	)	)	PUNCT
ejpam-6522	245	19	[	[	PUNCT
ejpam-6522	245	20	row̄(fw̄ϕw̄	row̄(fw̄ϕw̄	X
ejpam-6522	245	21	+	+	CCONJ
ejpam-6522	245	22	ρ2ϕwfw	ρ2ϕwfw	PROPN
ejpam-6522	245	23	)	)	PUNCT
ejpam-6522	245	24	fw̄	fw̄	NOUN
ejpam-6522	245	25	+	+	CCONJ
ejpam-6522	245	26	fw	fw	PROPN
ejpam-6522	245	27	(	(	PUNCT
ejpam-6522	245	28	1−	1−	NUM
ejpam-6522	245	29	q	q	PROPN
ejpam-6522	245	30	k	k	PROPN
ejpam-6522	245	31	)	)	PUNCT
ejpam-6522	245	32	]	]	PUNCT
ejpam-6522	245	33	.	.	PUNCT
ejpam-6522	246	1	(	(	PUNCT
ejpam-6522	246	2	23	23	NUM
ejpam-6522	246	3	)	)	PUNCT
ejpam-6522	246	4	the	the	DET
ejpam-6522	246	5	second	second	ADJ
ejpam-6522	246	6	component	component	NOUN
ejpam-6522	246	7	on	on	ADP
ejpam-6522	246	8	the	the	DET
ejpam-6522	246	9	right	right	ADJ
ejpam-6522	246	10	side	side	NOUN
ejpam-6522	246	11	of	of	ADP
ejpam-6522	246	12	eq	eq	PROPN
ejpam-6522	246	13	.	.	PUNCT
ejpam-6522	247	1	(	(	PUNCT
ejpam-6522	247	2	23	23	NUM
ejpam-6522	247	3	)	)	PUNCT
ejpam-6522	247	4	is	be	AUX
ejpam-6522	247	5	less	less	ADJ
ejpam-6522	247	6	than	than	ADP
ejpam-6522	247	7	or	or	CCONJ
ejpam-6522	247	8	equal	equal	ADJ
ejpam-6522	247	9	to	to	ADP
ejpam-6522	247	10	zero	zero	NUM
ejpam-6522	247	11	due	due	ADP
ejpam-6522	247	12	to	to	ADP
ejpam-6522	247	13	(	(	PUNCT
ejpam-6522	247	14	2−	2−	NUM
ejpam-6522	247	15	qw̄f	qw̄f	NOUN
ejpam-6522	247	16	∗	∗	NOUN
ejpam-6522	247	17	w̄	w̄	NOUN
ejpam-6522	247	18	q∗	q∗	PROPN
ejpam-6522	247	19	w̄fw̄	w̄fw̄	X
ejpam-6522	247	20	−	−	PROPN
ejpam-6522	247	21	q∗	q∗	PROPN
ejpam-6522	247	22	w̄fw̄	w̄fw̄	X
ejpam-6522	247	23	qw̄f	qw̄f	VERB
ejpam-6522	247	24	∗	∗	NOUN
ejpam-6522	247	25	w̄	w̄	NOUN
ejpam-6522	247	26	)	)	PUNCT
ejpam-6522	247	27	≤	≤	NUM
ejpam-6522	247	28	0	0	NUM
ejpam-6522	247	29	.	.	PUNCT
ejpam-6522	248	1	additionally	additionally	ADV
ejpam-6522	248	2	,	,	PUNCT
ejpam-6522	248	3	q∗	q∗	VERB
ejpam-6522	248	4	w̄	w̄	NOUN
ejpam-6522	248	5	≤	≤	NUM
ejpam-6522	248	6	qw̄	qw̄	NOUN
ejpam-6522	248	7	≤	≤	PROPN
ejpam-6522	248	8	k	k	PROPN
ejpam-6522	248	9	results	result	NOUN
ejpam-6522	248	10	in	in	ADP
ejpam-6522	248	11	the	the	DET
ejpam-6522	248	12	first	first	ADJ
ejpam-6522	248	13	term	term	NOUN
ejpam-6522	248	14	either	either	CCONJ
ejpam-6522	248	15	less	less	ADJ
ejpam-6522	248	16	than	than	ADP
ejpam-6522	248	17	or	or	CCONJ
ejpam-6522	248	18	equal	equal	ADJ
ejpam-6522	248	19	to	to	ADP
ejpam-6522	248	20	zero	zero	NUM
ejpam-6522	248	21	.	.	PUNCT
ejpam-6522	249	1	when	when	SCONJ
ejpam-6522	249	2	0	0	NUM
ejpam-6522	249	3	≤	≤	NUM
ejpam-6522	249	4	qw̄	qw̄	NOUN
ejpam-6522	249	5	≤	≤	ADJ
ejpam-6522	249	6	q∗	q∗	NOUN
ejpam-6522	249	7	w̄	w̄	NOUN
ejpam-6522	249	8	,	,	PUNCT
ejpam-6522	249	9	eq	eq	NOUN
ejpam-6522	249	10	.	.	PUNCT
ejpam-6522	249	11	(	(	PUNCT
ejpam-6522	249	12	23	23	NUM
ejpam-6522	249	13	)	)	PUNCT
ejpam-6522	249	14	is	be	AUX
ejpam-6522	249	15	less	less	ADJ
ejpam-6522	249	16	than	than	ADP
ejpam-6522	249	17	zero	zero	NUM
ejpam-6522	249	18	because	because	SCONJ
ejpam-6522	249	19	(	(	PUNCT
ejpam-6522	249	20	1−	1−	NUM
ejpam-6522	249	21	q∗	q∗	NOUN
ejpam-6522	249	22	w̄	w̄	NOUN
ejpam-6522	249	23	qw̄	qw̄	NOUN
ejpam-6522	249	24	)	)	PUNCT
ejpam-6522	249	25	<	<	X
ejpam-6522	250	1	0	0	X
ejpam-6522	250	2	.	.	PUNCT
ejpam-6522	251	1	hence	hence	ADV
ejpam-6522	251	2	,	,	PUNCT
ejpam-6522	251	3	cdαv1(qw̄(t	cdαv1(qw̄(t	ADJ
ejpam-6522	251	4	)	)	PUNCT
ejpam-6522	251	5	,	,	PUNCT
ejpam-6522	251	6	fw̄(t	fw̄(t	NOUN
ejpam-6522	251	7	)	)	PUNCT
ejpam-6522	251	8	)	)	PUNCT
ejpam-6522	252	1	≤	≤	ADV
ejpam-6522	252	2	0	0	X
ejpam-6522	252	3	.	.	PUNCT
ejpam-6522	253	1	so	so	ADV
ejpam-6522	253	2	,	,	PUNCT
ejpam-6522	253	3	the	the	DET
ejpam-6522	253	4	function	function	NOUN
ejpam-6522	253	5	v1(qw̄(t	v1(qw̄(t	NOUN
ejpam-6522	253	6	)	)	PUNCT
ejpam-6522	253	7	,	,	PUNCT
ejpam-6522	253	8	fw̄(t	fw̄(t	NOUN
ejpam-6522	253	9	)	)	PUNCT
ejpam-6522	253	10	)	)	PUNCT
ejpam-6522	253	11	is	be	AUX
ejpam-6522	253	12	negative	negative	ADJ
ejpam-6522	253	13	definite	definite	ADJ
ejpam-6522	253	14	for	for	ADP
ejpam-6522	253	15	0	0	NUM
ejpam-6522	253	16	<	<	X
ejpam-6522	253	17	α	α	X
ejpam-6522	253	18	<	<	X
ejpam-6522	253	19	1	1	NUM
ejpam-6522	253	20	.	.	PUNCT
ejpam-6522	254	1	then	then	ADV
ejpam-6522	254	2	the	the	DET
ejpam-6522	254	3	equilibrium	equilibrium	NOUN
ejpam-6522	254	4	state	state	PROPN
ejpam-6522	254	5	e2	e2	PROPN
ejpam-6522	254	6	is	be	AUX
ejpam-6522	254	7	globally	globally	ADV
ejpam-6522	254	8	asymptotically	asymptotically	ADV
ejpam-6522	254	9	stable	stable	ADJ
ejpam-6522	254	10	.	.	PUNCT
ejpam-6522	255	1	theorem	theorem	NOUN
ejpam-6522	255	2	3	3	NUM
ejpam-6522	255	3	.	.	PUNCT
ejpam-6522	256	1	the	the	DET
ejpam-6522	256	2	equilibrium	equilibrium	NOUN
ejpam-6522	256	3	point	point	NOUN
ejpam-6522	256	4	e3	e3	NOUN
ejpam-6522	256	5	=	=	SYM
ejpam-6522	256	6	(	(	PUNCT
ejpam-6522	256	7	0	0	NUM
ejpam-6522	256	8	,	,	PUNCT
ejpam-6522	256	9	q∗	q∗	PROPN
ejpam-6522	256	10	w	w	PROPN
ejpam-6522	256	11	,	,	PUNCT
ejpam-6522	256	12	0	0	NUM
ejpam-6522	256	13	,	,	PUNCT
ejpam-6522	256	14	f	f	PROPN
ejpam-6522	256	15	∗	∗	PROPN
ejpam-6522	256	16	w	w	PROPN
ejpam-6522	256	17	)	)	PUNCT
ejpam-6522	256	18	is	be	AUX
ejpam-6522	256	19	globally	globally	ADV
ejpam-6522	256	20	asymptotically	asymptotically	ADV
ejpam-6522	256	21	stable	stable	ADJ
ejpam-6522	256	22	whenever	whenever	SCONJ
ejpam-6522	256	23	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	256	24	>	>	X
ejpam-6522	256	25	1	1	NUM
ejpam-6522	256	26	,	,	PUNCT
ejpam-6522	256	27	r0w	r0w	PROPN
ejpam-6522	256	28	>	>	X
ejpam-6522	256	29	1	1	NUM
ejpam-6522	256	30	and	and	CCONJ
ejpam-6522	256	31	µw̄	µw̄	ADP
ejpam-6522	256	32	>	>	X
ejpam-6522	256	33	ρ2µw	ρ2µw	PROPN
ejpam-6522	256	34	.	.	PUNCT
ejpam-6522	257	1	m.	m.	PROPN
ejpam-6522	257	2	yar	yar	PROPN
ejpam-6522	257	3	,	,	PUNCT
ejpam-6522	257	4	s.	s.	PROPN
ejpam-6522	257	5	javeed	javeed	PROPN
ejpam-6522	257	6	,	,	PUNCT
ejpam-6522	257	7	t.	t.	PROPN
ejpam-6522	257	8	abbas	abbas	PROPN
ejpam-6522	257	9	khan	khan	PROPN
ejpam-6522	257	10	/	/	SYM
ejpam-6522	257	11	eur	eur	PROPN
ejpam-6522	257	12	.	.	PUNCT
ejpam-6522	258	1	j.	j.	PROPN
ejpam-6522	258	2	pure	pure	PROPN
ejpam-6522	258	3	appl	appl	PROPN
ejpam-6522	258	4	.	.	PROPN
ejpam-6522	258	5	math	math	PROPN
ejpam-6522	258	6	,	,	PUNCT
ejpam-6522	258	7	18	18	NUM
ejpam-6522	258	8	(	(	PUNCT
ejpam-6522	258	9	3	3	NUM
ejpam-6522	258	10	)	)	PUNCT
ejpam-6522	258	11	(	(	PUNCT
ejpam-6522	258	12	2025	2025	NUM
ejpam-6522	258	13	)	)	PUNCT
ejpam-6522	258	14	,	,	PUNCT
ejpam-6522	258	15	6522	6522	NUM
ejpam-6522	258	16	11	11	NUM
ejpam-6522	258	17	of	of	ADP
ejpam-6522	258	18	23	23	NUM
ejpam-6522	258	19	proof	proof	NOUN
ejpam-6522	258	20	.	.	PUNCT
ejpam-6522	259	1	when	when	SCONJ
ejpam-6522	259	2	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	259	3	>	>	X
ejpam-6522	259	4	1	1	NUM
ejpam-6522	259	5	then	then	ADV
ejpam-6522	259	6	r0w	r0w	PROPN
ejpam-6522	259	7	>	>	X
ejpam-6522	259	8	r0w̄	r0w̄	NUM
ejpam-6522	259	9	1−ρ2	1−ρ2	NUM
ejpam-6522	259	10	and	and	CCONJ
ejpam-6522	259	11	this	this	PRON
ejpam-6522	259	12	implies	imply	VERB
ejpam-6522	259	13	r0w	r0w	PROPN
ejpam-6522	259	14	>	>	X
ejpam-6522	259	15	r0w̄.	r0w̄.	PROPN
ejpam-6522	259	16	we	we	PRON
ejpam-6522	259	17	consider	consider	VERB
ejpam-6522	259	18	the	the	DET
ejpam-6522	259	19	following	follow	VERB
ejpam-6522	259	20	volterra	volterra	NOUN
ejpam-6522	259	21	-	-	PUNCT
ejpam-6522	259	22	type	type	NOUN
ejpam-6522	259	23	lyapunov	lyapunov	NOUN
ejpam-6522	259	24	function	function	NOUN
ejpam-6522	259	25	as	as	ADP
ejpam-6522	259	26	v2(qw(t	v2(qw(t	NOUN
ejpam-6522	259	27	)	)	PUNCT
ejpam-6522	259	28	,	,	PUNCT
ejpam-6522	259	29	fw(t	fw(t	PROPN
ejpam-6522	259	30	)	)	PUNCT
ejpam-6522	259	31	)	)	PUNCT
ejpam-6522	260	1	=	=	PUNCT
ejpam-6522	261	1	ψ	ψ	X
ejpam-6522	261	2	2µw(µa	2µw(µa	PROPN
ejpam-6522	261	3	+	+	CCONJ
ejpam-6522	261	4	ψ	ψ	X
ejpam-6522	261	5	)	)	PUNCT
ejpam-6522	261	6	∫	∫	PROPN
ejpam-6522	261	7	qw	qw	CCONJ
ejpam-6522	261	8	q∗	q∗	PROPN
ejpam-6522	261	9	w	w	PROPN
ejpam-6522	261	10	(	(	PUNCT
ejpam-6522	261	11	1−	1−	NUM
ejpam-6522	261	12	q∗	q∗	NOUN
ejpam-6522	261	13	w	w	NOUN
ejpam-6522	261	14	x	x	NOUN
ejpam-6522	261	15	)	)	PUNCT
ejpam-6522	261	16	dx+	dx+	NOUN
ejpam-6522	261	17	1	1	NUM
ejpam-6522	261	18	µw	µw	NUM
ejpam-6522	261	19	∫	∫	PROPN
ejpam-6522	261	20	fw	fw	PROPN
ejpam-6522	261	21	f	f	PROPN
ejpam-6522	261	22	∗	∗	PROPN
ejpam-6522	261	23	w	w	PROPN
ejpam-6522	262	1	(	(	PUNCT
ejpam-6522	262	2	1−	1−	NUM
ejpam-6522	262	3	f	f	PROPN
ejpam-6522	262	4	∗	∗	X
ejpam-6522	262	5	w	w	PROPN
ejpam-6522	262	6	x	x	SYM
ejpam-6522	262	7	)	)	PUNCT
ejpam-6522	262	8	dx	dx	PROPN
ejpam-6522	262	9	.	.	PUNCT
ejpam-6522	263	1	(	(	PUNCT
ejpam-6522	263	2	24	24	NUM
ejpam-6522	263	3	)	)	PUNCT
ejpam-6522	263	4	by	by	ADP
ejpam-6522	263	5	calculating	calculate	VERB
ejpam-6522	263	6	the	the	DET
ejpam-6522	263	7	α	α	NOUN
ejpam-6522	263	8	-	-	PUNCT
ejpam-6522	263	9	order	order	NOUN
ejpam-6522	263	10	derivative	derivative	NOUN
ejpam-6522	263	11	of	of	ADP
ejpam-6522	263	12	v2(qw(t	v2(qw(t	NOUN
ejpam-6522	263	13	)	)	PUNCT
ejpam-6522	263	14	,	,	PUNCT
ejpam-6522	263	15	fw(t	fw(t	PROPN
ejpam-6522	263	16	)	)	PUNCT
ejpam-6522	263	17	)	)	PUNCT
ejpam-6522	263	18	,	,	PUNCT
ejpam-6522	263	19	one	one	PRON
ejpam-6522	263	20	has	have	VERB
ejpam-6522	263	21	,	,	PUNCT
ejpam-6522	263	22	cdαv2(qw(t	cdαv2(qw(t	NUM
ejpam-6522	263	23	)	)	PUNCT
ejpam-6522	263	24	,	,	PUNCT
ejpam-6522	263	25	fw(t	fw(t	PROPN
ejpam-6522	263	26	)	)	PUNCT
ejpam-6522	263	27	)	)	PUNCT
ejpam-6522	264	1	≤	≤	NOUN
ejpam-6522	264	2	ψ	ψ	ADP
ejpam-6522	264	3	2µw(µa	2µw(µa	PROPN
ejpam-6522	264	4	+	+	CCONJ
ejpam-6522	264	5	ψ	ψ	X
ejpam-6522	264	6	)	)	PUNCT
ejpam-6522	264	7	(	(	PUNCT
ejpam-6522	264	8	1−	1−	NUM
ejpam-6522	264	9	q∗	q∗	PROPN
ejpam-6522	264	10	w	w	PROPN
ejpam-6522	264	11	qw	qw	X
ejpam-6522	264	12	)	)	PUNCT
ejpam-6522	264	13	cdαqw(t	cdαqw(t	PROPN
ejpam-6522	264	14	)	)	PUNCT
ejpam-6522	265	1	+	+	CCONJ
ejpam-6522	265	2	1	1	NUM
ejpam-6522	265	3	µw	µw	PROPN
ejpam-6522	265	4	(	(	PUNCT
ejpam-6522	265	5	1−	1−	NUM
ejpam-6522	265	6	f	f	PROPN
ejpam-6522	265	7	∗	∗	NOUN
ejpam-6522	265	8	w	w	PROPN
ejpam-6522	265	9	fw	fw	PROPN
ejpam-6522	265	10	)	)	PUNCT
ejpam-6522	265	11	cdαfw(t	cdαfw(t	NOUN
ejpam-6522	265	12	)	)	PUNCT
ejpam-6522	265	13	.	.	PUNCT
ejpam-6522	266	1	(	(	PUNCT
ejpam-6522	266	2	25	25	NUM
ejpam-6522	266	3	)	)	PUNCT
ejpam-6522	266	4	substituting	substitute	VERB
ejpam-6522	266	5	the	the	DET
ejpam-6522	266	6	expression	expression	NOUN
ejpam-6522	266	7	for	for	ADP
ejpam-6522	266	8	the	the	DET
ejpam-6522	266	9	model	model	NOUN
ejpam-6522	266	10	(	(	PUNCT
ejpam-6522	266	11	1	1	X
ejpam-6522	266	12	)	)	PUNCT
ejpam-6522	266	13	we	we	PRON
ejpam-6522	266	14	have	have	AUX
ejpam-6522	266	15	,	,	PUNCT
ejpam-6522	266	16	ψ	ψ	X
ejpam-6522	266	17	2µw(µa	2µw(µa	PROPN
ejpam-6522	266	18	+	+	CCONJ
ejpam-6522	266	19	ψ	ψ	X
ejpam-6522	266	20	)	)	PUNCT
ejpam-6522	266	21	(	(	PUNCT
ejpam-6522	266	22	1−	1−	NUM
ejpam-6522	266	23	q∗	q∗	PROPN
ejpam-6522	266	24	w	w	PROPN
ejpam-6522	266	25	qw	qw	X
ejpam-6522	266	26	)	)	PUNCT
ejpam-6522	266	27	cdαqw(t	cdαqw(t	NOUN
ejpam-6522	266	28	)	)	PUNCT
ejpam-6522	266	29	=	=	SYM
ejpam-6522	267	1	ψ	ψ	X
ejpam-6522	267	2	2µw(µa	2µw(µa	PROPN
ejpam-6522	267	3	+	+	CCONJ
ejpam-6522	267	4	ψ	ψ	X
ejpam-6522	267	5	)	)	PUNCT
ejpam-6522	267	6	(	(	PUNCT
ejpam-6522	267	7	1−	1−	NUM
ejpam-6522	267	8	q∗	q∗	PROPN
ejpam-6522	267	9	w	w	PROPN
ejpam-6522	267	10	qw	qw	PROPN
ejpam-6522	267	11	)	)	PUNCT
ejpam-6522	267	12	[	[	PUNCT
ejpam-6522	267	13	λ2	λ2	NOUN
ejpam-6522	267	14	(	(	PUNCT
ejpam-6522	267	15	1−	1−	NUM
ejpam-6522	267	16	q	q	PROPN
ejpam-6522	267	17	k	k	PROPN
ejpam-6522	267	18	)	)	PUNCT
ejpam-6522	267	19	−	−	PROPN
ejpam-6522	267	20	(	(	PUNCT
ejpam-6522	267	21	µa	µa	ADP
ejpam-6522	267	22	+	+	X
ejpam-6522	267	23	ψ)qw	ψ)qw	PROPN
ejpam-6522	267	24	]	]	PUNCT
ejpam-6522	267	25	,	,	PUNCT
ejpam-6522	267	26	(	(	PUNCT
ejpam-6522	267	27	26	26	NUM
ejpam-6522	267	28	)	)	PUNCT
ejpam-6522	267	29	where	where	SCONJ
ejpam-6522	267	30	λ2	λ2	NOUN
ejpam-6522	267	31	=	=	PUNCT
ejpam-6522	267	32	[	[	PUNCT
ejpam-6522	267	33	(	(	PUNCT
ejpam-6522	267	34	1−ρ1)ϕwf	1−ρ1)ϕwf	ADV
ejpam-6522	267	35	2	2	NUM
ejpam-6522	267	36	w+(1−ρ2)ϕwfwfw̄	w+(1−ρ2)ϕwfwfw̄	NOUN
ejpam-6522	267	37	fw̄+fw	fw̄+fw	NOUN
ejpam-6522	267	38	]	]	PUNCT
ejpam-6522	267	39	and	and	CCONJ
ejpam-6522	267	40	1	1	NUM
ejpam-6522	267	41	µw	µw	PROPN
ejpam-6522	267	42	(	(	PUNCT
ejpam-6522	267	43	1−	1−	NUM
ejpam-6522	267	44	f	f	PROPN
ejpam-6522	267	45	∗	∗	NOUN
ejpam-6522	267	46	w	w	PROPN
ejpam-6522	267	47	fw	fw	PROPN
ejpam-6522	267	48	)	)	PUNCT
ejpam-6522	267	49	cdαfw(t	cdαfw(t	NOUN
ejpam-6522	267	50	)	)	PUNCT
ejpam-6522	267	51	=	=	SYM
ejpam-6522	268	1	1	1	NUM
ejpam-6522	268	2	µw	µw	PROPN
ejpam-6522	268	3	(	(	PUNCT
ejpam-6522	268	4	1−	1−	NUM
ejpam-6522	268	5	f	f	PROPN
ejpam-6522	268	6	∗	∗	NOUN
ejpam-6522	268	7	w	w	PROPN
ejpam-6522	268	8	fw	fw	PROPN
ejpam-6522	268	9	)	)	PUNCT
ejpam-6522	268	10	(	(	PUNCT
ejpam-6522	268	11	ψ	ψ	X
ejpam-6522	268	12	2	2	NUM
ejpam-6522	268	13	qw	qw	NOUN
ejpam-6522	268	14	−	−	NOUN
ejpam-6522	268	15	µwfw	µwfw	NOUN
ejpam-6522	268	16	)	)	PUNCT
ejpam-6522	268	17	.	.	PUNCT
ejpam-6522	269	1	(	(	PUNCT
ejpam-6522	269	2	27	27	NUM
ejpam-6522	269	3	)	)	PUNCT
ejpam-6522	269	4	form	form	NOUN
ejpam-6522	269	5	eq	eq	ADJ
ejpam-6522	269	6	.	.	PUNCT
ejpam-6522	270	1	(	(	PUNCT
ejpam-6522	270	2	26	26	NUM
ejpam-6522	270	3	)	)	PUNCT
ejpam-6522	270	4	,	,	PUNCT
ejpam-6522	270	5	ψ	ψ	ADP
ejpam-6522	270	6	2µw(µa	2µw(µa	NUM
ejpam-6522	270	7	+	+	CCONJ
ejpam-6522	270	8	ψ	ψ	X
ejpam-6522	270	9	)	)	PUNCT
ejpam-6522	270	10	(	(	PUNCT
ejpam-6522	270	11	1−	1−	NUM
ejpam-6522	270	12	q∗	q∗	PROPN
ejpam-6522	270	13	w	w	PROPN
ejpam-6522	270	14	qw	qw	X
ejpam-6522	270	15	)	)	PUNCT
ejpam-6522	270	16	cdαqw(t	cdαqw(t	NOUN
ejpam-6522	270	17	)	)	PUNCT
ejpam-6522	270	18	=	=	VERB
ejpam-6522	270	19	ψλ2	ψλ2	VERB
ejpam-6522	270	20	2µw(µa	2µw(µa	X
ejpam-6522	270	21	+	+	CCONJ
ejpam-6522	270	22	ψ	ψ	X
ejpam-6522	270	23	)	)	PUNCT
ejpam-6522	270	24	(	(	PUNCT
ejpam-6522	270	25	1−	1−	NUM
ejpam-6522	270	26	q∗	q∗	PROPN
ejpam-6522	270	27	w	w	PROPN
ejpam-6522	270	28	qw	qw	PROPN
ejpam-6522	270	29	)	)	PUNCT
ejpam-6522	270	30	(	(	PUNCT
ejpam-6522	270	31	1−	1−	NUM
ejpam-6522	270	32	q	q	PROPN
ejpam-6522	270	33	k	k	PROPN
ejpam-6522	270	34	)	)	PUNCT
ejpam-6522	271	1	−	−	PROPN
ejpam-6522	271	2	ψqw	ψqw	NOUN
ejpam-6522	271	3	2µw	2µw	NOUN
ejpam-6522	271	4	+	+	CCONJ
ejpam-6522	271	5	ψq∗	ψq∗	NOUN
ejpam-6522	271	6	w	w	NOUN
ejpam-6522	271	7	2µw	2µw	NOUN
ejpam-6522	271	8	,	,	PUNCT
ejpam-6522	271	9	(	(	PUNCT
ejpam-6522	271	10	28	28	NUM
ejpam-6522	271	11	)	)	PUNCT
ejpam-6522	271	12	and	and	CCONJ
ejpam-6522	271	13	from	from	ADP
ejpam-6522	271	14	eq	eq	ADP
ejpam-6522	271	15	.	.	PUNCT
ejpam-6522	272	1	(	(	PUNCT
ejpam-6522	272	2	27	27	NUM
ejpam-6522	272	3	)	)	PUNCT
ejpam-6522	272	4	,	,	PUNCT
ejpam-6522	272	5	1	1	NUM
ejpam-6522	272	6	µw	µw	PROPN
ejpam-6522	272	7	(	(	PUNCT
ejpam-6522	272	8	1−	1−	NUM
ejpam-6522	272	9	f	f	PROPN
ejpam-6522	272	10	∗	∗	NOUN
ejpam-6522	272	11	w	w	PROPN
ejpam-6522	272	12	fw	fw	PROPN
ejpam-6522	272	13	)	)	PUNCT
ejpam-6522	272	14	cdαfw(t	cdαfw(t	NOUN
ejpam-6522	272	15	)	)	PUNCT
ejpam-6522	272	16	=	=	SYM
ejpam-6522	272	17	ψqw	ψqw	NOUN
ejpam-6522	272	18	2µw	2µw	NOUN
ejpam-6522	272	19	−	−	ADP
ejpam-6522	272	20	ψqwf	ψqwf	ADJ
ejpam-6522	272	21	∗	∗	NOUN
ejpam-6522	272	22	w	w	ADP
ejpam-6522	272	23	2µwfw	2µwfw	NUM
ejpam-6522	272	24	−	−	NOUN
ejpam-6522	273	1	fw	fw	NOUN
ejpam-6522	273	2	+	+	PROPN
ejpam-6522	273	3	f	f	PROPN
ejpam-6522	273	4	∗	∗	PROPN
ejpam-6522	273	5	w.	w.	PROPN
ejpam-6522	273	6	(	(	PUNCT
ejpam-6522	273	7	29	29	NUM
ejpam-6522	273	8	)	)	PUNCT
ejpam-6522	273	9	by	by	ADP
ejpam-6522	273	10	adding	add	VERB
ejpam-6522	273	11	eqs	eqs	PROPN
ejpam-6522	273	12	.	.	PUNCT
ejpam-6522	274	1	(	(	PUNCT
ejpam-6522	274	2	28	28	NUM
ejpam-6522	274	3	)	)	PUNCT
ejpam-6522	274	4	and	and	CCONJ
ejpam-6522	274	5	(	(	PUNCT
ejpam-6522	274	6	29	29	NUM
ejpam-6522	274	7	)	)	PUNCT
ejpam-6522	274	8	,	,	PUNCT
ejpam-6522	274	9	and	and	CCONJ
ejpam-6522	274	10	after	after	ADP
ejpam-6522	274	11	rearrangements	rearrangement	NOUN
ejpam-6522	274	12	,	,	PUNCT
ejpam-6522	274	13	we	we	PRON
ejpam-6522	274	14	obtain	obtain	VERB
ejpam-6522	274	15	cdαv2(qw(t	cdαv2(qw(t	NUM
ejpam-6522	274	16	)	)	PUNCT
ejpam-6522	274	17	,	,	PUNCT
ejpam-6522	274	18	fw(t	fw(t	PROPN
ejpam-6522	274	19	)	)	PUNCT
ejpam-6522	274	20	)	)	PUNCT
ejpam-6522	275	1	≤	≤	NOUN
ejpam-6522	276	1	fw	fw	INTJ
ejpam-6522	276	2	(	(	PUNCT
ejpam-6522	276	3	1−	1−	NUM
ejpam-6522	276	4	q∗	q∗	PROPN
ejpam-6522	276	5	w	w	PROPN
ejpam-6522	276	6	qw	qw	PROPN
ejpam-6522	276	7	)	)	PUNCT
ejpam-6522	276	8	[	[	PUNCT
ejpam-6522	276	9	r0w(fw	r0w(fw	PROPN
ejpam-6522	276	10	+	+	CCONJ
ejpam-6522	276	11	(	(	PUNCT
ejpam-6522	276	12	1−	1−	NUM
ejpam-6522	276	13	ρ2)fw̄	ρ2)fw̄	NOUN
ejpam-6522	276	14	)	)	PUNCT
ejpam-6522	276	15	fw	fw	ADJ
ejpam-6522	276	16	+	+	PUNCT
ejpam-6522	276	17	fw̄	fw̄	ADJ
ejpam-6522	276	18	(	(	PUNCT
ejpam-6522	276	19	1−	1−	NUM
ejpam-6522	276	20	q	q	PROPN
ejpam-6522	276	21	k	k	PROPN
ejpam-6522	276	22	)	)	PUNCT
ejpam-6522	277	1	−	−	PROPN
ejpam-6522	277	2	1	1	NUM
ejpam-6522	277	3	]	]	PUNCT
ejpam-6522	278	1	+	+	CCONJ
ejpam-6522	278	2	f	f	PROPN
ejpam-6522	278	3	∗	∗	X
ejpam-6522	278	4	w	w	PROPN
ejpam-6522	278	5	(	(	PUNCT
ejpam-6522	278	6	2−	2−	NUM
ejpam-6522	278	7	qwf	qwf	NOUN
ejpam-6522	278	8	∗	∗	NOUN
ejpam-6522	278	9	w	w	PROPN
ejpam-6522	278	10	q∗	q∗	PROPN
ejpam-6522	278	11	wfw	wfw	NOUN
ejpam-6522	278	12	−	−	NOUN
ejpam-6522	278	13	q∗	q∗	NOUN
ejpam-6522	278	14	wfw	wfw	NOUN
ejpam-6522	278	15	qwf	qwf	NOUN
ejpam-6522	278	16	∗	∗	NOUN
ejpam-6522	278	17	w	w	PROPN
ejpam-6522	278	18	)	)	PUNCT
ejpam-6522	278	19	.	.	PUNCT
ejpam-6522	279	1	(	(	PUNCT
ejpam-6522	279	2	30	30	NUM
ejpam-6522	279	3	)	)	PUNCT
ejpam-6522	279	4	eq	eq	NOUN
ejpam-6522	279	5	.	.	PUNCT
ejpam-6522	280	1	(	(	PUNCT
ejpam-6522	280	2	30	30	NUM
ejpam-6522	280	3	)	)	PUNCT
ejpam-6522	280	4	,	,	PUNCT
ejpam-6522	280	5	which	which	PRON
ejpam-6522	280	6	can	can	AUX
ejpam-6522	280	7	then	then	ADV
ejpam-6522	280	8	be	be	AUX
ejpam-6522	280	9	simplified	simplify	VERB
ejpam-6522	280	10	to	to	ADP
ejpam-6522	280	11	cdαv2(qw(t	cdαv2(qw(t	NUM
ejpam-6522	280	12	)	)	PUNCT
ejpam-6522	280	13	,	,	PUNCT
ejpam-6522	280	14	fw(t	fw(t	PROPN
ejpam-6522	280	15	)	)	PUNCT
ejpam-6522	280	16	)	)	PUNCT
ejpam-6522	281	1	≤	≤	NUM
ejpam-6522	281	2	f	f	PROPN
ejpam-6522	281	3	∗	∗	X
ejpam-6522	281	4	w	w	PROPN
ejpam-6522	281	5	(	(	PUNCT
ejpam-6522	281	6	f	f	PROPN
ejpam-6522	281	7	∗	∗	NOUN
ejpam-6522	281	8	w	w	PROPN
ejpam-6522	281	9	fw	fw	PROPN
ejpam-6522	281	10	+	+	NUM
ejpam-6522	281	11	qwf	qwf	NOUN
ejpam-6522	281	12	∗	∗	NOUN
ejpam-6522	281	13	w	w	PROPN
ejpam-6522	281	14	q∗	q∗	PROPN
ejpam-6522	281	15	wfw	wfw	NOUN
ejpam-6522	281	16	−	−	NOUN
ejpam-6522	281	17	2	2	NUM
ejpam-6522	281	18	)	)	PUNCT
ejpam-6522	281	19	[	[	PUNCT
ejpam-6522	281	20	r0w(fw	r0w(fw	PROPN
ejpam-6522	281	21	+	+	CCONJ
ejpam-6522	281	22	(	(	PUNCT
ejpam-6522	281	23	1−	1−	NUM
ejpam-6522	281	24	ρ2)fw̄	ρ2)fw̄	NOUN
ejpam-6522	281	25	)	)	PUNCT
ejpam-6522	281	26	fw	fw	ADJ
ejpam-6522	281	27	+	+	PUNCT
ejpam-6522	281	28	fw̄	fw̄	ADJ
ejpam-6522	281	29	(	(	PUNCT
ejpam-6522	281	30	1−	1−	NUM
ejpam-6522	281	31	q	q	PROPN
ejpam-6522	281	32	k	k	PROPN
ejpam-6522	281	33	)	)	PUNCT
ejpam-6522	282	1	−	−	PROPN
ejpam-6522	282	2	1	1	NUM
ejpam-6522	282	3	]	]	PUNCT
ejpam-6522	283	1	+	+	CCONJ
ejpam-6522	283	2	f	f	PROPN
ejpam-6522	283	3	∗	∗	X
ejpam-6522	283	4	w	w	PROPN
ejpam-6522	283	5	(	(	PUNCT
ejpam-6522	283	6	2−	2−	NUM
ejpam-6522	283	7	qwf	qwf	NOUN
ejpam-6522	283	8	∗	∗	NOUN
ejpam-6522	283	9	w	w	PROPN
ejpam-6522	283	10	q∗	q∗	PROPN
ejpam-6522	283	11	wfw	wfw	NOUN
ejpam-6522	283	12	−	−	NOUN
ejpam-6522	283	13	q∗	q∗	NOUN
ejpam-6522	283	14	wfw	wfw	NOUN
ejpam-6522	283	15	qwf	qwf	NOUN
ejpam-6522	283	16	∗	∗	NOUN
ejpam-6522	283	17	w	w	NOUN
ejpam-6522	283	18	)	)	PUNCT
ejpam-6522	283	19	[	[	PUNCT
ejpam-6522	283	20	r0w(fw	r0w(fw	PROPN
ejpam-6522	283	21	+	+	CCONJ
ejpam-6522	283	22	(	(	PUNCT
ejpam-6522	283	23	1−	1−	NUM
ejpam-6522	283	24	ρ2)fw̄	ρ2)fw̄	NOUN
ejpam-6522	283	25	)	)	PUNCT
ejpam-6522	284	1	fw	fw	ADJ
ejpam-6522	284	2	+	+	PUNCT
ejpam-6522	284	3	fw̄	fw̄	ADJ
ejpam-6522	284	4	(	(	PUNCT
ejpam-6522	284	5	1−	1−	NUM
ejpam-6522	284	6	q	q	PROPN
ejpam-6522	284	7	k	k	PROPN
ejpam-6522	284	8	)	)	PUNCT
ejpam-6522	284	9	]	]	PUNCT
ejpam-6522	284	10	.	.	PUNCT
ejpam-6522	285	1	(	(	PUNCT
ejpam-6522	285	2	31	31	NUM
ejpam-6522	285	3	)	)	PUNCT
ejpam-6522	285	4	thus	thus	ADV
ejpam-6522	285	5	,	,	PUNCT
ejpam-6522	285	6	cdαv2(qw(t	cdαv2(qw(t	NUM
ejpam-6522	285	7	)	)	PUNCT
ejpam-6522	285	8	,	,	PUNCT
ejpam-6522	285	9	fw(t	fw(t	PROPN
ejpam-6522	285	10	)	)	PUNCT
ejpam-6522	285	11	)	)	PUNCT
ejpam-6522	286	1	≤	≤	ADV
ejpam-6522	286	2	0	0	X
ejpam-6522	286	3	.	.	PUNCT
ejpam-6522	287	1	so	so	ADV
ejpam-6522	287	2	,	,	PUNCT
ejpam-6522	287	3	the	the	DET
ejpam-6522	287	4	function	function	NOUN
ejpam-6522	287	5	v2(qw(t	v2(qw(t	NOUN
ejpam-6522	287	6	)	)	PUNCT
ejpam-6522	287	7	,	,	PUNCT
ejpam-6522	287	8	fw(t	fw(t	PROPN
ejpam-6522	287	9	)	)	PUNCT
ejpam-6522	287	10	)	)	PUNCT
ejpam-6522	287	11	is	be	AUX
ejpam-6522	287	12	negative	negative	ADJ
ejpam-6522	287	13	definite	definite	ADJ
ejpam-6522	287	14	for	for	ADP
ejpam-6522	287	15	0	0	NUM
ejpam-6522	287	16	<	<	X
ejpam-6522	287	17	α	α	X
ejpam-6522	287	18	<	<	X
ejpam-6522	287	19	1	1	NUM
ejpam-6522	287	20	.	.	PUNCT
ejpam-6522	288	1	then	then	ADV
ejpam-6522	288	2	the	the	DET
ejpam-6522	288	3	equilibrium	equilibrium	NOUN
ejpam-6522	288	4	state	state	NOUN
ejpam-6522	288	5	e3	e3	NOUN
ejpam-6522	288	6	is	be	AUX
ejpam-6522	288	7	globally	globally	ADV
ejpam-6522	288	8	asymptotically	asymptotically	ADV
ejpam-6522	288	9	stable	stable	ADJ
ejpam-6522	288	10	.	.	PUNCT
ejpam-6522	289	1	m.	m.	PROPN
ejpam-6522	289	2	yar	yar	PROPN
ejpam-6522	289	3	,	,	PUNCT
ejpam-6522	289	4	s.	s.	PROPN
ejpam-6522	289	5	javeed	javeed	PROPN
ejpam-6522	289	6	,	,	PUNCT
ejpam-6522	289	7	t.	t.	PROPN
ejpam-6522	289	8	abbas	abbas	PROPN
ejpam-6522	289	9	khan	khan	PROPN
ejpam-6522	289	10	/	/	SYM
ejpam-6522	289	11	eur	eur	PROPN
ejpam-6522	289	12	.	.	PUNCT
ejpam-6522	290	1	j.	j.	PROPN
ejpam-6522	290	2	pure	pure	PROPN
ejpam-6522	290	3	appl	appl	PROPN
ejpam-6522	290	4	.	.	PROPN
ejpam-6522	290	5	math	math	PROPN
ejpam-6522	290	6	,	,	PUNCT
ejpam-6522	290	7	18	18	NUM
ejpam-6522	290	8	(	(	PUNCT
ejpam-6522	290	9	3	3	NUM
ejpam-6522	290	10	)	)	PUNCT
ejpam-6522	290	11	(	(	PUNCT
ejpam-6522	290	12	2025	2025	NUM
ejpam-6522	290	13	)	)	PUNCT
ejpam-6522	290	14	,	,	PUNCT
ejpam-6522	290	15	6522	6522	NUM
ejpam-6522	290	16	12	12	NUM
ejpam-6522	290	17	of	of	ADP
ejpam-6522	290	18	23	23	NUM
ejpam-6522	290	19	theorem	theorem	NOUN
ejpam-6522	290	20	4	4	NUM
ejpam-6522	290	21	.	.	PUNCT
ejpam-6522	291	1	the	the	DET
ejpam-6522	291	2	equilibrium	equilibrium	NOUN
ejpam-6522	291	3	point	point	NOUN
ejpam-6522	291	4	e4	e4	PROPN
ejpam-6522	291	5	=	=	PUNCT
ejpam-6522	291	6	(	(	PUNCT
ejpam-6522	291	7	d1f	d1f	NOUN
ejpam-6522	291	8	∗	∗	NOUN
ejpam-6522	291	9	w̄	w̄	NOUN
ejpam-6522	291	10	,	,	PUNCT
ejpam-6522	291	11	d2f	d2f	PROPN
ejpam-6522	291	12	∗	∗	PROPN
ejpam-6522	291	13	w	w	PROPN
ejpam-6522	291	14	,	,	PUNCT
ejpam-6522	291	15	d3f	d3f	PROPN
ejpam-6522	291	16	∗	∗	PROPN
ejpam-6522	291	17	w	w	PROPN
ejpam-6522	291	18	,	,	PUNCT
ejpam-6522	291	19	f	f	PROPN
ejpam-6522	291	20	∗	∗	PROPN
ejpam-6522	291	21	w	w	PROPN
ejpam-6522	291	22	)	)	PUNCT
ejpam-6522	291	23	of	of	ADP
ejpam-6522	291	24	the	the	DET
ejpam-6522	291	25	non	non	ADJ
ejpam-6522	291	26	-	-	ADJ
ejpam-6522	291	27	integer	integer	ADJ
ejpam-6522	291	28	order	order	NOUN
ejpam-6522	291	29	system	system	NOUN
ejpam-6522	291	30	(	(	PUNCT
ejpam-6522	291	31	1	1	X
ejpam-6522	291	32	)	)	PUNCT
ejpam-6522	291	33	is	be	AUX
ejpam-6522	291	34	globally	globally	ADV
ejpam-6522	291	35	asymptotically	asymptotically	ADV
ejpam-6522	291	36	stable	stable	ADJ
ejpam-6522	291	37	if	if	SCONJ
ejpam-6522	291	38	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	291	39	>	>	X
ejpam-6522	291	40	1	1	NUM
ejpam-6522	291	41	,	,	PUNCT
ejpam-6522	291	42	r0w	r0w	PROPN
ejpam-6522	291	43	>	>	X
ejpam-6522	291	44	1	1	NUM
ejpam-6522	291	45	and	and	CCONJ
ejpam-6522	291	46	r0w̄	r0w̄	X
ejpam-6522	291	47	>	>	X
ejpam-6522	291	48	1	1	X
ejpam-6522	291	49	.	.	PUNCT
ejpam-6522	291	50	proof	proof	NOUN
ejpam-6522	291	51	.	.	PUNCT
ejpam-6522	292	1	the	the	DET
ejpam-6522	292	2	following	follow	VERB
ejpam-6522	292	3	positive	positive	ADJ
ejpam-6522	292	4	definite	definite	ADJ
ejpam-6522	292	5	lyapunov	lyapunov	ADJ
ejpam-6522	292	6	function	function	NOUN
ejpam-6522	292	7	is	be	AUX
ejpam-6522	292	8	used	use	VERB
ejpam-6522	292	9	to	to	PART
ejpam-6522	292	10	analyze	analyze	VERB
ejpam-6522	292	11	the	the	DET
ejpam-6522	292	12	global	global	ADJ
ejpam-6522	292	13	asymptotic	asymptotic	ADJ
ejpam-6522	292	14	stability	stability	NOUN
ejpam-6522	292	15	of	of	ADP
ejpam-6522	292	16	the	the	DET
ejpam-6522	292	17	equilibrium	equilibrium	NOUN
ejpam-6522	292	18	point	point	NOUN
ejpam-6522	292	19	e4	e4	PROPN
ejpam-6522	292	20	:	:	PUNCT
ejpam-6522	292	21	v3(t	v3(t	X
ejpam-6522	292	22	)	)	PUNCT
ejpam-6522	292	23	=	=	SYM
ejpam-6522	292	24	t1q(qw̄(t	t1q(qw̄(t	NOUN
ejpam-6522	292	25	)	)	PUNCT
ejpam-6522	292	26	)	)	PUNCT
ejpam-6522	293	1	+	+	CCONJ
ejpam-6522	293	2	t2q(qw(t	t2q(qw(t	NOUN
ejpam-6522	293	3	)	)	PUNCT
ejpam-6522	293	4	)	)	PUNCT
ejpam-6522	294	1	+	+	CCONJ
ejpam-6522	294	2	t3f	t3f	PROPN
ejpam-6522	294	3	(	(	PUNCT
ejpam-6522	294	4	fw̄(t	fw̄(t	NOUN
ejpam-6522	294	5	)	)	PUNCT
ejpam-6522	294	6	)	)	PUNCT
ejpam-6522	295	1	+	+	CCONJ
ejpam-6522	295	2	t4f	t4f	PROPN
ejpam-6522	295	3	(	(	PUNCT
ejpam-6522	295	4	fw(t	fw(t	PROPN
ejpam-6522	295	5	)	)	PUNCT
ejpam-6522	295	6	)	)	PUNCT
ejpam-6522	295	7	,	,	PUNCT
ejpam-6522	295	8	(	(	PUNCT
ejpam-6522	295	9	32	32	NUM
ejpam-6522	295	10	)	)	PUNCT
ejpam-6522	295	11	where	where	SCONJ
ejpam-6522	295	12	,	,	PUNCT
ejpam-6522	295	13	q(qw(t	q(qw(t	PROPN
ejpam-6522	295	14	)	)	PUNCT
ejpam-6522	295	15	)	)	PUNCT
ejpam-6522	295	16	=	=	PUNCT
ejpam-6522	296	1	qw	qw	CCONJ
ejpam-6522	296	2	−q∗	−q∗	PROPN
ejpam-6522	296	3	w	w	PROPN
ejpam-6522	296	4	−q∗	−q∗	PROPN
ejpam-6522	296	5	w	w	PROPN
ejpam-6522	296	6	ln	ln	NOUN
ejpam-6522	296	7	(	(	PUNCT
ejpam-6522	296	8	q∗	q∗	PROPN
ejpam-6522	296	9	w	w	PROPN
ejpam-6522	296	10	qw	qw	PROPN
ejpam-6522	296	11	)	)	PUNCT
ejpam-6522	296	12	,	,	PUNCT
ejpam-6522	296	13	q(qw̄(t	q(qw̄(t	NOUN
ejpam-6522	296	14	)	)	PUNCT
ejpam-6522	296	15	)	)	PUNCT
ejpam-6522	297	1	=	=	PUNCT
ejpam-6522	297	2	qw̄	qw̄	NOUN
ejpam-6522	297	3	−q∗	−q∗	PROPN
ejpam-6522	297	4	w̄	w̄	NOUN
ejpam-6522	297	5	−q∗	−q∗	PROPN
ejpam-6522	297	6	w̄	w̄	NOUN
ejpam-6522	297	7	ln	ln	ADV
ejpam-6522	297	8	(	(	PUNCT
ejpam-6522	297	9	q∗	q∗	NOUN
ejpam-6522	297	10	w̄	w̄	NOUN
ejpam-6522	297	11	qw̄	qw̄	NOUN
ejpam-6522	297	12	)	)	PUNCT
ejpam-6522	297	13	,	,	PUNCT
ejpam-6522	297	14	f	f	PROPN
ejpam-6522	297	15	(	(	PUNCT
ejpam-6522	297	16	fw̄(t	fw̄(t	NOUN
ejpam-6522	297	17	)	)	PUNCT
ejpam-6522	297	18	)	)	PUNCT
ejpam-6522	298	1	=	=	SYM
ejpam-6522	298	2	fw̄	fw̄	ADJ
ejpam-6522	298	3	−	−	PROPN
ejpam-6522	298	4	f	f	PROPN
ejpam-6522	298	5	∗	∗	NOUN
ejpam-6522	298	6	w̄	w̄	NOUN
ejpam-6522	298	7	−	−	PROPN
ejpam-6522	298	8	f	f	PROPN
ejpam-6522	298	9	∗	∗	VERB
ejpam-6522	298	10	w̄	w̄	NOUN
ejpam-6522	299	1	ln	ln	NOUN
ejpam-6522	300	1	(	(	PUNCT
ejpam-6522	300	2	f	f	PROPN
ejpam-6522	300	3	∗	∗	VERB
ejpam-6522	300	4	w̄	w̄	NOUN
ejpam-6522	300	5	fw̄	fw̄	PROPN
ejpam-6522	300	6	)	)	PUNCT
ejpam-6522	300	7	,	,	PUNCT
ejpam-6522	300	8	f	f	PROPN
ejpam-6522	300	9	(	(	PUNCT
ejpam-6522	300	10	fw(t	fw(t	PROPN
ejpam-6522	300	11	)	)	PUNCT
ejpam-6522	300	12	)	)	PUNCT
ejpam-6522	301	1	=	=	PUNCT
ejpam-6522	302	1	fw	fw	DET
ejpam-6522	302	2	−	−	PROPN
ejpam-6522	302	3	f	f	PROPN
ejpam-6522	302	4	∗	∗	NOUN
ejpam-6522	302	5	w	w	PROPN
ejpam-6522	303	1	−	−	PROPN
ejpam-6522	303	2	f	f	PROPN
ejpam-6522	303	3	∗	∗	NOUN
ejpam-6522	303	4	w	w	ADP
ejpam-6522	303	5	ln	ln	PROPN
ejpam-6522	303	6	(	(	PUNCT
ejpam-6522	303	7	f	f	PROPN
ejpam-6522	303	8	∗	∗	PROPN
ejpam-6522	303	9	w	w	PROPN
ejpam-6522	303	10	fw	fw	PROPN
ejpam-6522	303	11	)	)	PUNCT
ejpam-6522	303	12	,	,	PUNCT
ejpam-6522	303	13	t1	t1	NOUN
ejpam-6522	303	14	=	=	SYM
ejpam-6522	303	15	ψϕw̄	ψϕw̄	NOUN
ejpam-6522	304	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	304	2	+	+	SYM
ejpam-6522	304	3	ψ	ψ	X
ejpam-6522	304	4	)	)	PUNCT
ejpam-6522	304	5	,	,	PUNCT
ejpam-6522	304	6	t2	t2	NOUN
ejpam-6522	304	7	=	=	SYM
ejpam-6522	304	8	ψ	ψ	X
ejpam-6522	304	9	2µw(µa	2µw(µa	PROPN
ejpam-6522	304	10	+	+	CCONJ
ejpam-6522	304	11	ψ	ψ	X
ejpam-6522	304	12	)	)	PUNCT
ejpam-6522	304	13	,	,	PUNCT
ejpam-6522	304	14	t3	t3	PROPN
ejpam-6522	304	15	=	=	PROPN
ejpam-6522	304	16	1	1	NUM
ejpam-6522	304	17	µw̄	µw̄	ADV
ejpam-6522	304	18	and	and	CCONJ
ejpam-6522	304	19	t4	t4	PROPN
ejpam-6522	304	20	=	=	PROPN
ejpam-6522	305	1	1	1	NUM
ejpam-6522	305	2	µw	µw	NUM
ejpam-6522	305	3	.	.	PUNCT
ejpam-6522	306	1	differentiating	differentiate	VERB
ejpam-6522	306	2	v3(t	v3(t	NOUN
ejpam-6522	306	3	)	)	PUNCT
ejpam-6522	306	4	with	with	ADP
ejpam-6522	306	5	respect	respect	NOUN
ejpam-6522	306	6	to	to	ADP
ejpam-6522	306	7	time	time	NOUN
ejpam-6522	306	8	and	and	CCONJ
ejpam-6522	306	9	by	by	ADP
ejpam-6522	306	10	applying	apply	VERB
ejpam-6522	306	11	lemma	lemma	PROPN
ejpam-6522	306	12	1	1	NUM
ejpam-6522	306	13	,	,	PUNCT
ejpam-6522	306	14	one	one	PRON
ejpam-6522	306	15	has	have	AUX
ejpam-6522	306	16	cdαv3(t	cdαv3(t	VERB
ejpam-6522	306	17	)	)	PUNCT
ejpam-6522	306	18	≤	≤	NOUN
ejpam-6522	306	19	ψϕw̄	ψϕw̄	PUNCT
ejpam-6522	307	1	2µw̄(µa	2µw̄(µa	NUM
ejpam-6522	307	2	+	+	SYM
ejpam-6522	307	3	ψ	ψ	X
ejpam-6522	307	4	)	)	PUNCT
ejpam-6522	307	5	(	(	PUNCT
ejpam-6522	307	6	1−	1−	NUM
ejpam-6522	307	7	q∗	q∗	NOUN
ejpam-6522	307	8	w	w	PROPN
ejpam-6522	307	9	qw̄	qw̄	NOUN
ejpam-6522	307	10	)	)	PUNCT
ejpam-6522	307	11	cdαqw̄(t	cdαqw̄(t	PROPN
ejpam-6522	307	12	)	)	PUNCT
ejpam-6522	308	1	+	+	PUNCT
ejpam-6522	308	2	ψ	ψ	X
ejpam-6522	308	3	2µw(µa	2µw(µa	PROPN
ejpam-6522	308	4	+	+	CCONJ
ejpam-6522	308	5	ψ	ψ	X
ejpam-6522	308	6	)	)	PUNCT
ejpam-6522	308	7	(	(	PUNCT
ejpam-6522	308	8	1−	1−	NUM
ejpam-6522	308	9	q∗	q∗	PROPN
ejpam-6522	308	10	w	w	PROPN
ejpam-6522	308	11	qw	qw	X
ejpam-6522	308	12	)	)	PUNCT
ejpam-6522	308	13	cdαqw(t	cdαqw(t	PROPN
ejpam-6522	308	14	)	)	PUNCT
ejpam-6522	309	1	+	+	CCONJ
ejpam-6522	309	2	1	1	NUM
ejpam-6522	309	3	µw̄	µw̄	ADP
ejpam-6522	309	4	(	(	PUNCT
ejpam-6522	309	5	1−	1−	NUM
ejpam-6522	309	6	f	f	PROPN
ejpam-6522	309	7	∗	∗	X
ejpam-6522	309	8	w̄	w̄	NOUN
ejpam-6522	309	9	fw̄	fw̄	ADJ
ejpam-6522	309	10	)	)	PUNCT
ejpam-6522	309	11	cdαfw̄(t	cdαfw̄(t	NOUN
ejpam-6522	309	12	)	)	PUNCT
ejpam-6522	310	1	+	+	CCONJ
ejpam-6522	310	2	1	1	NUM
ejpam-6522	310	3	µw	µw	PROPN
ejpam-6522	310	4	(	(	PUNCT
ejpam-6522	310	5	1−	1−	NUM
ejpam-6522	310	6	f	f	PROPN
ejpam-6522	310	7	∗	∗	NOUN
ejpam-6522	310	8	w	w	PROPN
ejpam-6522	310	9	fw	fw	PROPN
ejpam-6522	310	10	)	)	PUNCT
ejpam-6522	310	11	cdαfw(t	cdαfw(t	NOUN
ejpam-6522	310	12	)	)	PUNCT
ejpam-6522	310	13	.	.	PUNCT
ejpam-6522	311	1	(	(	PUNCT
ejpam-6522	311	2	33	33	NUM
ejpam-6522	311	3	)	)	PUNCT
ejpam-6522	311	4	substituting	substitute	VERB
ejpam-6522	311	5	the	the	DET
ejpam-6522	311	6	expressions	expression	NOUN
ejpam-6522	311	7	for	for	ADP
ejpam-6522	311	8	the	the	DET
ejpam-6522	311	9	derivatives	derivative	NOUN
ejpam-6522	311	10	into	into	ADP
ejpam-6522	311	11	eq	eq	NOUN
ejpam-6522	311	12	.	.	PUNCT
ejpam-6522	312	1	(	(	PUNCT
ejpam-6522	312	2	33	33	NUM
ejpam-6522	312	3	)	)	PUNCT
ejpam-6522	312	4	,	,	PUNCT
ejpam-6522	312	5	and	and	CCONJ
ejpam-6522	312	6	subsequently	subsequently	ADV
ejpam-6522	312	7	rearranging	rearrange	VERB
ejpam-6522	312	8	and	and	CCONJ
ejpam-6522	312	9	manipulating	manipulate	VERB
ejpam-6522	312	10	the	the	DET
ejpam-6522	312	11	terms	term	NOUN
ejpam-6522	312	12	,	,	PUNCT
ejpam-6522	312	13	gives	give	VERB
ejpam-6522	312	14	cdαv3(t	cdαv3(t	NOUN
ejpam-6522	312	15	)	)	PUNCT
ejpam-6522	312	16	≤	≤	NUM
ejpam-6522	312	17	f	f	PROPN
ejpam-6522	312	18	∗	∗	X
ejpam-6522	312	19	w̄	w̄	NOUN
ejpam-6522	312	20	(	(	PUNCT
ejpam-6522	312	21	f	f	PROPN
ejpam-6522	312	22	∗	∗	VERB
ejpam-6522	312	23	w̄	w̄	NOUN
ejpam-6522	312	24	fw̄	fw̄	ADJ
ejpam-6522	312	25	+	+	CCONJ
ejpam-6522	312	26	qw̄f	qw̄f	NOUN
ejpam-6522	312	27	∗	∗	NOUN
ejpam-6522	312	28	w̄	w̄	NOUN
ejpam-6522	312	29	q∗	q∗	PROPN
ejpam-6522	312	30	w̄fw̄	w̄fw̄	X
ejpam-6522	313	1	−	−	NOUN
ejpam-6522	313	2	2	2	NUM
ejpam-6522	313	3	)	)	PUNCT
ejpam-6522	313	4	[	[	PUNCT
ejpam-6522	313	5	row̄(fw̄ϕw̄	row̄(fw̄ϕw̄	X
ejpam-6522	313	6	+	+	CCONJ
ejpam-6522	313	7	ρ2ϕwfw	ρ2ϕwfw	PROPN
ejpam-6522	313	8	)	)	PUNCT
ejpam-6522	313	9	fw̄	fw̄	NOUN
ejpam-6522	313	10	+	+	CCONJ
ejpam-6522	313	11	fw	fw	PROPN
ejpam-6522	313	12	(	(	PUNCT
ejpam-6522	313	13	1−	1−	NUM
ejpam-6522	313	14	q	q	PROPN
ejpam-6522	313	15	k	k	PROPN
ejpam-6522	313	16	)	)	PUNCT
ejpam-6522	314	1	−	−	PROPN
ejpam-6522	314	2	1	1	NUM
ejpam-6522	315	1	]	]	PUNCT
ejpam-6522	315	2	+	+	NOUN
ejpam-6522	315	3	f	f	NOUN
ejpam-6522	315	4	∗	∗	X
ejpam-6522	315	5	w̄	w̄	NOUN
ejpam-6522	315	6	(	(	PUNCT
ejpam-6522	315	7	2−	2−	NUM
ejpam-6522	315	8	qw̄f	qw̄f	NOUN
ejpam-6522	315	9	∗	∗	NOUN
ejpam-6522	315	10	w̄	w̄	NOUN
ejpam-6522	315	11	q∗	q∗	PROPN
ejpam-6522	315	12	w̄fw̄	w̄fw̄	X
ejpam-6522	315	13	−	−	PROPN
ejpam-6522	315	14	q∗	q∗	PROPN
ejpam-6522	315	15	w̄fw̄	w̄fw̄	X
ejpam-6522	315	16	qw̄f	qw̄f	VERB
ejpam-6522	315	17	∗	∗	NOUN
ejpam-6522	315	18	w̄	w̄	NOUN
ejpam-6522	315	19	)	)	PUNCT
ejpam-6522	316	1	[	[	PUNCT
ejpam-6522	316	2	row̄(fw̄ϕw̄	row̄(fw̄ϕw̄	X
ejpam-6522	316	3	+	+	CCONJ
ejpam-6522	316	4	ρ2ϕwfw	ρ2ϕwfw	PROPN
ejpam-6522	316	5	)	)	PUNCT
ejpam-6522	316	6	fw̄	fw̄	NOUN
ejpam-6522	316	7	+	+	CCONJ
ejpam-6522	316	8	fw	fw	PROPN
ejpam-6522	316	9	(	(	PUNCT
ejpam-6522	316	10	1−	1−	NUM
ejpam-6522	316	11	q	q	PROPN
ejpam-6522	316	12	k	k	PROPN
ejpam-6522	316	13	)	)	PUNCT
ejpam-6522	316	14	]	]	PUNCT
ejpam-6522	317	1	+	+	PUNCT
ejpam-6522	317	2	f	f	PROPN
ejpam-6522	317	3	∗	∗	NOUN
ejpam-6522	317	4	w	w	PROPN
ejpam-6522	317	5	(	(	PUNCT
ejpam-6522	317	6	f	f	PROPN
ejpam-6522	317	7	∗	∗	NOUN
ejpam-6522	317	8	w	w	PROPN
ejpam-6522	318	1	fw	fw	PROPN
ejpam-6522	318	2	+	+	NUM
ejpam-6522	318	3	qwf	qwf	NOUN
ejpam-6522	318	4	∗	∗	NOUN
ejpam-6522	318	5	w	w	PROPN
ejpam-6522	318	6	q∗	q∗	PROPN
ejpam-6522	318	7	wfw	wfw	NOUN
ejpam-6522	318	8	−	−	NOUN
ejpam-6522	318	9	2	2	NUM
ejpam-6522	318	10	)	)	PUNCT
ejpam-6522	318	11	[	[	PUNCT
ejpam-6522	318	12	r0w(fw	r0w(fw	PROPN
ejpam-6522	318	13	+	+	CCONJ
ejpam-6522	318	14	(	(	PUNCT
ejpam-6522	318	15	1−	1−	NUM
ejpam-6522	318	16	ρ2)fw̄	ρ2)fw̄	NOUN
ejpam-6522	318	17	)	)	PUNCT
ejpam-6522	319	1	fw	fw	ADJ
ejpam-6522	319	2	+	+	PUNCT
ejpam-6522	319	3	fw̄	fw̄	ADJ
ejpam-6522	319	4	(	(	PUNCT
ejpam-6522	319	5	1−	1−	NUM
ejpam-6522	319	6	q	q	PROPN
ejpam-6522	319	7	k	k	PROPN
ejpam-6522	319	8	)	)	PUNCT
ejpam-6522	320	1	−	−	PROPN
ejpam-6522	320	2	1	1	NUM
ejpam-6522	320	3	]	]	PUNCT
ejpam-6522	321	1	+	+	NOUN
ejpam-6522	321	2	f	f	PROPN
ejpam-6522	321	3	∗	∗	X
ejpam-6522	321	4	w	w	PROPN
ejpam-6522	321	5	(	(	PUNCT
ejpam-6522	321	6	2−	2−	NUM
ejpam-6522	321	7	qwf	qwf	NOUN
ejpam-6522	321	8	∗	∗	NOUN
ejpam-6522	321	9	w	w	PROPN
ejpam-6522	321	10	q∗	q∗	PROPN
ejpam-6522	321	11	wfw	wfw	NOUN
ejpam-6522	321	12	−	−	NOUN
ejpam-6522	321	13	q∗	q∗	NOUN
ejpam-6522	321	14	wfw	wfw	NOUN
ejpam-6522	321	15	qwf	qwf	NOUN
ejpam-6522	321	16	∗	∗	NOUN
ejpam-6522	321	17	w	w	NOUN
ejpam-6522	321	18	)	)	PUNCT
ejpam-6522	321	19	[	[	PUNCT
ejpam-6522	321	20	r0w(fw	r0w(fw	PROPN
ejpam-6522	321	21	+	+	CCONJ
ejpam-6522	321	22	(	(	PUNCT
ejpam-6522	321	23	1−	1−	NUM
ejpam-6522	321	24	ρ2)fw̄	ρ2)fw̄	NOUN
ejpam-6522	321	25	)	)	PUNCT
ejpam-6522	322	1	fw	fw	ADJ
ejpam-6522	322	2	+	+	PUNCT
ejpam-6522	322	3	fw̄	fw̄	ADJ
ejpam-6522	322	4	(	(	PUNCT
ejpam-6522	322	5	1−	1−	NUM
ejpam-6522	322	6	q	q	PROPN
ejpam-6522	322	7	k	k	PROPN
ejpam-6522	322	8	)	)	PUNCT
ejpam-6522	322	9	]	]	PUNCT
ejpam-6522	322	10	.	.	PUNCT
ejpam-6522	323	1	(	(	PUNCT
ejpam-6522	323	2	34	34	NUM
ejpam-6522	323	3	)	)	PUNCT
ejpam-6522	323	4	hence	hence	ADV
ejpam-6522	323	5	,	,	PUNCT
ejpam-6522	323	6	we	we	PRON
ejpam-6522	323	7	conclude	conclude	VERB
ejpam-6522	323	8	by	by	ADP
ejpam-6522	323	9	saying	say	VERB
ejpam-6522	323	10	that	that	SCONJ
ejpam-6522	323	11	since	since	SCONJ
ejpam-6522	323	12	v3(t	v3(t	NOUN
ejpam-6522	323	13	)	)	PUNCT
ejpam-6522	323	14	is	be	AUX
ejpam-6522	323	15	negative	negative	ADJ
ejpam-6522	323	16	definite	definite	ADJ
ejpam-6522	323	17	for	for	ADP
ejpam-6522	323	18	0	0	NUM
ejpam-6522	323	19	<	<	X
ejpam-6522	323	20	α	α	X
ejpam-6522	323	21	<	<	X
ejpam-6522	323	22	1	1	NUM
ejpam-6522	323	23	,	,	PUNCT
ejpam-6522	323	24	then	then	ADV
ejpam-6522	323	25	the	the	DET
ejpam-6522	323	26	equilibrium	equilibrium	NOUN
ejpam-6522	323	27	state	state	PROPN
ejpam-6522	323	28	e4	e4	PROPN
ejpam-6522	323	29	is	be	AUX
ejpam-6522	323	30	globally	globally	ADV
ejpam-6522	323	31	asymptotically	asymptotically	ADV
ejpam-6522	323	32	stable	stable	ADJ
ejpam-6522	323	33	.	.	PUNCT
ejpam-6522	324	1	m.	m.	PROPN
ejpam-6522	324	2	yar	yar	PROPN
ejpam-6522	324	3	,	,	PUNCT
ejpam-6522	324	4	s.	s.	PROPN
ejpam-6522	324	5	javeed	javeed	PROPN
ejpam-6522	324	6	,	,	PUNCT
ejpam-6522	324	7	t.	t.	PROPN
ejpam-6522	324	8	abbas	abbas	PROPN
ejpam-6522	324	9	khan	khan	PROPN
ejpam-6522	324	10	/	/	SYM
ejpam-6522	324	11	eur	eur	PROPN
ejpam-6522	324	12	.	.	PUNCT
ejpam-6522	325	1	j.	j.	PROPN
ejpam-6522	325	2	pure	pure	PROPN
ejpam-6522	325	3	appl	appl	PROPN
ejpam-6522	325	4	.	.	PROPN
ejpam-6522	325	5	math	math	PROPN
ejpam-6522	325	6	,	,	PUNCT
ejpam-6522	325	7	18	18	NUM
ejpam-6522	325	8	(	(	PUNCT
ejpam-6522	325	9	3	3	NUM
ejpam-6522	325	10	)	)	PUNCT
ejpam-6522	325	11	(	(	PUNCT
ejpam-6522	325	12	2025	2025	NUM
ejpam-6522	325	13	)	)	PUNCT
ejpam-6522	325	14	,	,	PUNCT
ejpam-6522	325	15	6522	6522	NUM
ejpam-6522	325	16	13	13	NUM
ejpam-6522	325	17	of	of	ADP
ejpam-6522	325	18	23	23	NUM
ejpam-6522	325	19	0	0	NUM
ejpam-6522	325	20	500	500	NUM
ejpam-6522	325	21	1000	1000	NUM
ejpam-6522	325	22	1500	1500	NUM
ejpam-6522	325	23	2000	2000	NUM
ejpam-6522	325	24	2500	2500	NUM
ejpam-6522	325	25	3000	3000	NUM
ejpam-6522	325	26	3500	3500	NUM
ejpam-6522	325	27	4000	4000	NUM
ejpam-6522	325	28	days	day	NOUN
ejpam-6522	325	29	0	0	NUM
ejpam-6522	325	30	1	1	NUM
ejpam-6522	325	31	2	2	NUM
ejpam-6522	325	32	3	3	NUM
ejpam-6522	325	33	4	4	NUM
ejpam-6522	325	34	5	5	NUM
ejpam-6522	325	35	6	6	NUM
ejpam-6522	325	36	7	7	NUM
ejpam-6522	325	37	8	8	NUM
ejpam-6522	325	38	9	9	NUM
ejpam-6522	325	39	n	n	NUM
ejpam-6522	325	40	um	um	INTJ
ejpam-6522	325	41	be	be	AUX
ejpam-6522	325	42	r	r	NOUN
ejpam-6522	325	43	o	o	NOUN
ejpam-6522	325	44	f	f	PROPN
ejpam-6522	325	45	a	a	PROPN
ejpam-6522	325	46	e.	e.	PROPN
ejpam-6522	325	47	ae	ae	PROPN
ejpam-6522	325	48	gy	gy	PROPN
ejpam-6522	325	49	pt	pt	INTJ
ejpam-6522	326	1	i	i	PRON
ejpam-6522	326	2	m	m	VERB
ejpam-6522	326	3	os	os	PROPN
ejpam-6522	326	4	qu	qu	PROPN
ejpam-6522	326	5	ito	ito	PROPN
ejpam-6522	326	6	es	es	PROPN
ejpam-6522	326	7	×105	×105	PROPN
ejpam-6522	326	8	α	α	PROPN
ejpam-6522	326	9	=	=	NOUN
ejpam-6522	326	10	0.7	0.7	NUM
ejpam-6522	326	11	aquatic	aquatic	ADJ
ejpam-6522	326	12	wu	wu	PROPN
ejpam-6522	326	13	aquatic	aquatic	PROPN
ejpam-6522	326	14	wi	wi	PROPN
ejpam-6522	326	15	adult	adult	PROPN
ejpam-6522	326	16	wu	wu	PROPN
ejpam-6522	326	17	adult	adult	PROPN
ejpam-6522	326	18	wi	wi	PROPN
ejpam-6522	326	19	(	(	PUNCT
ejpam-6522	326	20	a	a	PROPN
ejpam-6522	326	21	)	)	PUNCT
ejpam-6522	326	22	0	0	NUM
ejpam-6522	327	1	500	500	NUM
ejpam-6522	327	2	1000	1000	NUM
ejpam-6522	327	3	1500	1500	NUM
ejpam-6522	327	4	2000	2000	NUM
ejpam-6522	327	5	2500	2500	NUM
ejpam-6522	327	6	3000	3000	NUM
ejpam-6522	327	7	3500	3500	NUM
ejpam-6522	327	8	4000	4000	NUM
ejpam-6522	327	9	days	day	NOUN
ejpam-6522	327	10	0	0	NUM
ejpam-6522	327	11	1	1	NUM
ejpam-6522	327	12	2	2	NUM
ejpam-6522	327	13	3	3	NUM
ejpam-6522	327	14	4	4	NUM
ejpam-6522	327	15	5	5	NUM
ejpam-6522	327	16	6	6	NUM
ejpam-6522	327	17	7	7	NUM
ejpam-6522	327	18	8	8	NUM
ejpam-6522	327	19	9	9	NUM
ejpam-6522	327	20	n	n	NUM
ejpam-6522	327	21	um	um	INTJ
ejpam-6522	327	22	be	be	AUX
ejpam-6522	327	23	r	r	NOUN
ejpam-6522	327	24	o	o	NOUN
ejpam-6522	327	25	f	f	PROPN
ejpam-6522	327	26	a	a	PROPN
ejpam-6522	327	27	e.	e.	PROPN
ejpam-6522	327	28	ae	ae	PROPN
ejpam-6522	327	29	gy	gy	PROPN
ejpam-6522	327	30	pt	pt	INTJ
ejpam-6522	328	1	i	i	PRON
ejpam-6522	328	2	m	m	VERB
ejpam-6522	328	3	os	os	PROPN
ejpam-6522	328	4	qu	qu	PROPN
ejpam-6522	328	5	ito	ito	PROPN
ejpam-6522	328	6	es	es	PROPN
ejpam-6522	328	7	×105	×105	PROPN
ejpam-6522	328	8	α	α	NOUN
ejpam-6522	328	9	=	=	NOUN
ejpam-6522	328	10	0.8	0.8	NUM
ejpam-6522	328	11	aquatic	aquatic	ADJ
ejpam-6522	328	12	wu	wu	PROPN
ejpam-6522	328	13	aquatic	aquatic	PROPN
ejpam-6522	328	14	wi	wi	PROPN
ejpam-6522	328	15	adult	adult	PROPN
ejpam-6522	328	16	wu	wu	PROPN
ejpam-6522	328	17	adult	adult	PROPN
ejpam-6522	328	18	wi	wi	PROPN
ejpam-6522	328	19	(	(	PUNCT
ejpam-6522	328	20	b	b	NOUN
ejpam-6522	328	21	)	)	PUNCT
ejpam-6522	328	22	0	0	NUM
ejpam-6522	328	23	50	50	NUM
ejpam-6522	328	24	100	100	NUM
ejpam-6522	328	25	150	150	NUM
ejpam-6522	328	26	200	200	NUM
ejpam-6522	328	27	250	250	NUM
ejpam-6522	328	28	300	300	NUM
ejpam-6522	328	29	350	350	NUM
ejpam-6522	328	30	400	400	NUM
ejpam-6522	328	31	days	day	NOUN
ejpam-6522	328	32	0	0	NUM
ejpam-6522	328	33	1	1	NUM
ejpam-6522	328	34	2	2	NUM
ejpam-6522	328	35	3	3	NUM
ejpam-6522	328	36	4	4	NUM
ejpam-6522	328	37	5	5	NUM
ejpam-6522	328	38	6	6	NUM
ejpam-6522	328	39	7	7	NUM
ejpam-6522	328	40	8	8	NUM
ejpam-6522	328	41	9	9	NUM
ejpam-6522	328	42	n	n	NUM
ejpam-6522	328	43	um	um	INTJ
ejpam-6522	328	44	be	be	AUX
ejpam-6522	328	45	r	r	NOUN
ejpam-6522	328	46	o	o	NOUN
ejpam-6522	328	47	f	f	PROPN
ejpam-6522	328	48	a	a	PROPN
ejpam-6522	328	49	e.	e.	PROPN
ejpam-6522	328	50	ae	ae	PROPN
ejpam-6522	328	51	gy	gy	PROPN
ejpam-6522	328	52	pt	pt	INTJ
ejpam-6522	329	1	i	i	PRON
ejpam-6522	329	2	m	m	VERB
ejpam-6522	329	3	os	os	PROPN
ejpam-6522	329	4	qu	qu	PROPN
ejpam-6522	329	5	ito	ito	PROPN
ejpam-6522	329	6	es	es	PROPN
ejpam-6522	329	7	×105	×105	PROPN
ejpam-6522	329	8	α	α	PROPN
ejpam-6522	329	9	=	=	SYM
ejpam-6522	329	10	0.9	0.9	NUM
ejpam-6522	329	11	aquatic	aquatic	ADJ
ejpam-6522	329	12	wu	wu	PROPN
ejpam-6522	329	13	aquatic	aquatic	PROPN
ejpam-6522	329	14	wi	wi	PROPN
ejpam-6522	329	15	adult	adult	PROPN
ejpam-6522	329	16	wu	wu	PROPN
ejpam-6522	329	17	adult	adult	PROPN
ejpam-6522	329	18	wi	wi	PROPN
ejpam-6522	329	19	(	(	PUNCT
ejpam-6522	329	20	c	c	NOUN
ejpam-6522	329	21	)	)	PUNCT
ejpam-6522	329	22	0	0	NUM
ejpam-6522	330	1	50	50	NUM
ejpam-6522	330	2	100	100	NUM
ejpam-6522	330	3	150	150	NUM
ejpam-6522	330	4	200	200	NUM
ejpam-6522	330	5	250	250	NUM
ejpam-6522	330	6	300	300	NUM
ejpam-6522	330	7	350	350	NUM
ejpam-6522	330	8	400	400	NUM
ejpam-6522	330	9	days	day	NOUN
ejpam-6522	330	10	0	0	NUM
ejpam-6522	330	11	1	1	NUM
ejpam-6522	330	12	2	2	NUM
ejpam-6522	330	13	3	3	NUM
ejpam-6522	330	14	4	4	NUM
ejpam-6522	330	15	5	5	NUM
ejpam-6522	330	16	6	6	NUM
ejpam-6522	330	17	7	7	NUM
ejpam-6522	330	18	8	8	NUM
ejpam-6522	330	19	9	9	NUM
ejpam-6522	330	20	n	n	NUM
ejpam-6522	330	21	um	um	INTJ
ejpam-6522	330	22	be	be	AUX
ejpam-6522	330	23	r	r	NOUN
ejpam-6522	330	24	o	o	NOUN
ejpam-6522	330	25	f	f	PROPN
ejpam-6522	330	26	a	a	PROPN
ejpam-6522	330	27	e.	e.	PROPN
ejpam-6522	330	28	ae	ae	PROPN
ejpam-6522	330	29	gy	gy	PROPN
ejpam-6522	330	30	pt	pt	INTJ
ejpam-6522	331	1	i	i	PRON
ejpam-6522	331	2	m	m	VERB
ejpam-6522	331	3	os	os	PROPN
ejpam-6522	331	4	qu	qu	PROPN
ejpam-6522	331	5	ito	ito	PROPN
ejpam-6522	331	6	es	es	PROPN
ejpam-6522	331	7	×105	×105	PROPN
ejpam-6522	331	8	α	α	X
ejpam-6522	331	9	=	=	SYM
ejpam-6522	331	10	1	1	NUM
ejpam-6522	331	11	aquatic	aquatic	ADJ
ejpam-6522	331	12	wu	wu	PROPN
ejpam-6522	331	13	aquatic	aquatic	PROPN
ejpam-6522	331	14	wi	wi	PROPN
ejpam-6522	331	15	adult	adult	PROPN
ejpam-6522	331	16	wu	wu	PROPN
ejpam-6522	331	17	adult	adult	PROPN
ejpam-6522	331	18	wi	wi	PROPN
ejpam-6522	331	19	(	(	PUNCT
ejpam-6522	331	20	d	d	NOUN
ejpam-6522	331	21	)	)	PUNCT
ejpam-6522	331	22	figure	figure	NOUN
ejpam-6522	331	23	1	1	NUM
ejpam-6522	331	24	:	:	PUNCT
ejpam-6522	331	25	this	this	DET
ejpam-6522	331	26	figure	figure	NOUN
ejpam-6522	331	27	illustrates	illustrate	VERB
ejpam-6522	331	28	the	the	DET
ejpam-6522	331	29	numerical	numerical	PROPN
ejpam-6522	331	30	simulation	simulation	NOUN
ejpam-6522	331	31	of	of	ADP
ejpam-6522	331	32	aquatic	aquatic	ADJ
ejpam-6522	331	33	-	-	PUNCT
ejpam-6522	331	34	stage	stage	NOUN
ejpam-6522	331	35	wi	wi	PROPN
ejpam-6522	331	36	and	and	CCONJ
ejpam-6522	331	37	wu	wu	PROPN
ejpam-6522	331	38	mosquitoes	mosquito	NOUN
ejpam-6522	331	39	,	,	PUNCT
ejpam-6522	331	40	as	as	ADV
ejpam-6522	331	41	well	well	ADV
ejpam-6522	331	42	as	as	ADP
ejpam-6522	331	43	adult	adult	X
ejpam-6522	331	44	wi	wi	PROPN
ejpam-6522	331	45	and	and	CCONJ
ejpam-6522	331	46	wu	wu	PROPN
ejpam-6522	331	47	mosquitoes	mosquito	NOUN
ejpam-6522	331	48	,	,	PUNCT
ejpam-6522	331	49	across	across	ADP
ejpam-6522	331	50	various	various	ADJ
ejpam-6522	331	51	fractional	fractional	ADJ
ejpam-6522	331	52	order	order	NOUN
ejpam-6522	331	53	values	value	NOUN
ejpam-6522	331	54	of	of	ADP
ejpam-6522	331	55	α	α	NOUN
ejpam-6522	331	56	.	.	PUNCT
ejpam-6522	332	1	the	the	DET
ejpam-6522	332	2	plots	plot	NOUN
ejpam-6522	332	3	illustrate	illustrate	VERB
ejpam-6522	332	4	the	the	DET
ejpam-6522	332	5	impact	impact	NOUN
ejpam-6522	332	6	of	of	ADP
ejpam-6522	332	7	the	the	DET
ejpam-6522	332	8	memory	memory	NOUN
ejpam-6522	332	9	effect	effect	NOUN
ejpam-6522	332	10	,	,	PUNCT
ejpam-6522	332	11	governed	govern	VERB
ejpam-6522	332	12	by	by	ADP
ejpam-6522	332	13	the	the	DET
ejpam-6522	332	14	fractional	fractional	ADJ
ejpam-6522	332	15	order	order	NOUN
ejpam-6522	332	16	,	,	PUNCT
ejpam-6522	332	17	on	on	ADP
ejpam-6522	332	18	the	the	DET
ejpam-6522	332	19	temporal	temporal	ADJ
ejpam-6522	332	20	dynamics	dynamic	NOUN
ejpam-6522	332	21	of	of	ADP
ejpam-6522	332	22	these	these	DET
ejpam-6522	332	23	populations	population	NOUN
ejpam-6522	332	24	as	as	ADP
ejpam-6522	332	25	α	α	NOUN
ejpam-6522	332	26	approaches	approach	VERB
ejpam-6522	332	27	1	1	NUM
ejpam-6522	332	28	.	.	PUNCT
ejpam-6522	333	1	we	we	PRON
ejpam-6522	333	2	set	set	VERB
ejpam-6522	333	3	ϕw	ϕw	NOUN
ejpam-6522	334	1	=	=	NOUN
ejpam-6522	334	2	0.01	0.01	NUM
ejpam-6522	334	3	,	,	PUNCT
ejpam-6522	334	4	ϕw̄	ϕw̄	ADV
ejpam-6522	334	5	=	=	NOUN
ejpam-6522	334	6	0.01	0.01	NUM
ejpam-6522	334	7	,	,	PUNCT
ejpam-6522	334	8	k	k	X
ejpam-6522	334	9	=	=	SYM
ejpam-6522	334	10	2×106	2×106	NUM
ejpam-6522	334	11	,	,	PUNCT
ejpam-6522	334	12	qw̄(0	qw̄(0	VERB
ejpam-6522	334	13	)	)	PUNCT
ejpam-6522	334	14	=	=	SYM
ejpam-6522	334	15	2×105	2×105	NUM
ejpam-6522	334	16	,	,	PUNCT
ejpam-6522	334	17	qw(0	qw(0	NOUN
ejpam-6522	334	18	)	)	PUNCT
ejpam-6522	334	19	=	=	PUNCT
ejpam-6522	335	1	5×105	5×105	NUM
ejpam-6522	335	2	,	,	PUNCT
ejpam-6522	335	3	fw̄(0	fw̄(0	NOUN
ejpam-6522	335	4	)	)	PUNCT
ejpam-6522	335	5	=	=	SYM
ejpam-6522	335	6	9×105	9×105	NUM
ejpam-6522	335	7	,	,	PUNCT
ejpam-6522	335	8	and	and	CCONJ
ejpam-6522	335	9	fw(0	fw(0	NOUN
ejpam-6522	335	10	)	)	PUNCT
ejpam-6522	335	11	=	=	SYM
ejpam-6522	335	12	6×105	6×105	NUM
ejpam-6522	335	13	.	.	PUNCT
ejpam-6522	336	1	other	other	ADJ
ejpam-6522	336	2	parameters	parameter	NOUN
ejpam-6522	336	3	used	use	VERB
ejpam-6522	336	4	for	for	ADP
ejpam-6522	336	5	these	these	DET
ejpam-6522	336	6	graphs	graph	NOUN
ejpam-6522	336	7	simulations	simulation	NOUN
ejpam-6522	336	8	are	be	AUX
ejpam-6522	336	9	provided	provide	VERB
ejpam-6522	336	10	in	in	ADP
ejpam-6522	336	11	table	table	NOUN
ejpam-6522	336	12	1	1	NUM
ejpam-6522	336	13	.	.	PUNCT
ejpam-6522	337	1	hence	hence	ADV
ejpam-6522	337	2	,	,	PUNCT
ejpam-6522	337	3	for	for	ADP
ejpam-6522	337	4	r0w	r0w	PROPN
ejpam-6522	337	5	<	<	X
ejpam-6522	337	6	1	1	NUM
ejpam-6522	337	7	and	and	CCONJ
ejpam-6522	337	8	r0w̄	r0w̄	NOUN
ejpam-6522	337	9	<	<	X
ejpam-6522	337	10	1	1	NUM
ejpam-6522	337	11	both	both	DET
ejpam-6522	337	12	populations	population	NOUN
ejpam-6522	337	13	die	die	VERB
ejpam-6522	337	14	out	out	ADP
ejpam-6522	337	15	(	(	PUNCT
ejpam-6522	337	16	see	see	VERB
ejpam-6522	337	17	figure	figure	NOUN
ejpam-6522	337	18	1	1	NUM
ejpam-6522	337	19	)	)	PUNCT
ejpam-6522	337	20	because	because	SCONJ
ejpam-6522	337	21	the	the	DET
ejpam-6522	337	22	populations	population	NOUN
ejpam-6522	337	23	can	can	AUX
ejpam-6522	337	24	not	not	PART
ejpam-6522	337	25	be	be	AUX
ejpam-6522	337	26	sustained	sustain	VERB
ejpam-6522	337	27	in	in	ADP
ejpam-6522	337	28	reproductive	reproductive	ADJ
ejpam-6522	337	29	terms	term	NOUN
ejpam-6522	337	30	.	.	PUNCT
ejpam-6522	338	1	furthermore	furthermore	ADV
ejpam-6522	338	2	,	,	PUNCT
ejpam-6522	338	3	the	the	DET
ejpam-6522	338	4	solutions	solution	NOUN
ejpam-6522	338	5	converge	converge	VERB
ejpam-6522	338	6	to	to	ADP
ejpam-6522	338	7	the	the	DET
ejpam-6522	338	8	non	non	ADJ
ejpam-6522	338	9	-	-	ADJ
ejpam-6522	338	10	mosquito	mosquito	ADJ
ejpam-6522	338	11	equilibrium	equilibrium	NOUN
ejpam-6522	338	12	point	point	NOUN
ejpam-6522	338	13	,	,	PUNCT
ejpam-6522	338	14	as	as	SCONJ
ejpam-6522	338	15	they	they	PRON
ejpam-6522	338	16	remain	remain	VERB
ejpam-6522	338	17	non	non	ADJ
ejpam-6522	338	18	-	-	ADJ
ejpam-6522	338	19	negative	negative	ADJ
ejpam-6522	338	20	with	with	ADP
ejpam-6522	338	21	non	non	ADJ
ejpam-6522	338	22	-	-	ADJ
ejpam-6522	338	23	negative	negative	ADJ
ejpam-6522	338	24	initial	initial	ADJ
ejpam-6522	338	25	conditions	condition	NOUN
ejpam-6522	338	26	.	.	PUNCT
ejpam-6522	339	1	all	all	DET
ejpam-6522	339	2	populations	population	NOUN
ejpam-6522	339	3	take	take	VERB
ejpam-6522	339	4	much	much	ADJ
ejpam-6522	339	5	time	time	NOUN
ejpam-6522	339	6	to	to	PART
ejpam-6522	339	7	die	die	VERB
ejpam-6522	339	8	out	out	ADP
ejpam-6522	339	9	as	as	ADP
ejpam-6522	339	10	the	the	DET
ejpam-6522	339	11	order	order	NOUN
ejpam-6522	339	12	of	of	ADP
ejpam-6522	339	13	α	α	PRON
ejpam-6522	339	14	decreases	decrease	NOUN
ejpam-6522	339	15	(	(	PUNCT
ejpam-6522	339	16	see	see	VERB
ejpam-6522	339	17	figure	figure	NOUN
ejpam-6522	339	18	1	1	NUM
ejpam-6522	339	19	)	)	PUNCT
ejpam-6522	339	20	.	.	PUNCT
ejpam-6522	340	1	m.	m.	PROPN
ejpam-6522	340	2	yar	yar	PROPN
ejpam-6522	340	3	,	,	PUNCT
ejpam-6522	340	4	s.	s.	PROPN
ejpam-6522	340	5	javeed	javeed	PROPN
ejpam-6522	340	6	,	,	PUNCT
ejpam-6522	340	7	t.	t.	PROPN
ejpam-6522	340	8	abbas	abbas	PROPN
ejpam-6522	340	9	khan	khan	PROPN
ejpam-6522	340	10	/	/	SYM
ejpam-6522	340	11	eur	eur	PROPN
ejpam-6522	340	12	.	.	PUNCT
ejpam-6522	341	1	j.	j.	PROPN
ejpam-6522	341	2	pure	pure	PROPN
ejpam-6522	341	3	appl	appl	PROPN
ejpam-6522	341	4	.	.	PROPN
ejpam-6522	341	5	math	math	PROPN
ejpam-6522	341	6	,	,	PUNCT
ejpam-6522	341	7	18	18	NUM
ejpam-6522	341	8	(	(	PUNCT
ejpam-6522	341	9	3	3	NUM
ejpam-6522	341	10	)	)	PUNCT
ejpam-6522	341	11	(	(	PUNCT
ejpam-6522	341	12	2025	2025	NUM
ejpam-6522	341	13	)	)	PUNCT
ejpam-6522	341	14	,	,	PUNCT
ejpam-6522	341	15	6522	6522	NUM
ejpam-6522	341	16	14	14	NUM
ejpam-6522	341	17	of	of	ADP
ejpam-6522	341	18	23	23	NUM
ejpam-6522	341	19	0	0	NUM
ejpam-6522	341	20	50	50	NUM
ejpam-6522	341	21	100	100	NUM
ejpam-6522	341	22	150	150	NUM
ejpam-6522	341	23	200	200	NUM
ejpam-6522	341	24	250	250	NUM
ejpam-6522	341	25	300	300	NUM
ejpam-6522	341	26	350	350	NUM
ejpam-6522	341	27	400	400	NUM
ejpam-6522	341	28	days	day	NOUN
ejpam-6522	341	29	2	2	NUM
ejpam-6522	341	30	3	3	NUM
ejpam-6522	341	31	4	4	NUM
ejpam-6522	341	32	5	5	NUM
ejpam-6522	341	33	6	6	NUM
ejpam-6522	341	34	7	7	NUM
ejpam-6522	341	35	8	8	NUM
ejpam-6522	341	36	9	9	NUM
ejpam-6522	341	37	10	10	NUM
ejpam-6522	341	38	11	11	NUM
ejpam-6522	341	39	12	12	NUM
ejpam-6522	341	40	n	n	NUM
ejpam-6522	341	41	um	um	INTJ
ejpam-6522	341	42	be	be	AUX
ejpam-6522	341	43	r	r	NOUN
ejpam-6522	341	44	of	of	ADP
ejpam-6522	341	45	a	a	DET
ejpam-6522	341	46	e.	e.	PROPN
ejpam-6522	341	47	ae	ae	PROPN
ejpam-6522	341	48	gy	gy	PROPN
ejpam-6522	342	1	pt	pt	INTJ
ejpam-6522	343	1	i	i	PRON
ejpam-6522	343	2	m	m	VERB
ejpam-6522	343	3	os	os	PROPN
ejpam-6522	343	4	qu	qu	PROPN
ejpam-6522	343	5	ito	ito	PROPN
ejpam-6522	343	6	es	es	PROPN
ejpam-6522	343	7	×105	×105	PROPN
ejpam-6522	343	8	α	α	X
ejpam-6522	343	9	=	=	SYM
ejpam-6522	343	10	0.5	0.5	NUM
ejpam-6522	343	11	aquatic	aquatic	ADJ
ejpam-6522	343	12	wu	wu	PROPN
ejpam-6522	343	13	aquatic	aquatic	PROPN
ejpam-6522	343	14	wi	wi	PROPN
ejpam-6522	343	15	adult	adult	PROPN
ejpam-6522	343	16	wu	wu	PROPN
ejpam-6522	343	17	adult	adult	PROPN
ejpam-6522	343	18	wi	wi	PROPN
ejpam-6522	343	19	(	(	PUNCT
ejpam-6522	343	20	a	a	PROPN
ejpam-6522	343	21	)	)	PUNCT
ejpam-6522	343	22	0	0	NUM
ejpam-6522	343	23	50	50	NUM
ejpam-6522	343	24	100	100	NUM
ejpam-6522	343	25	150	150	NUM
ejpam-6522	343	26	200	200	NUM
ejpam-6522	343	27	250	250	NUM
ejpam-6522	343	28	300	300	NUM
ejpam-6522	343	29	350	350	NUM
ejpam-6522	343	30	400	400	NUM
ejpam-6522	343	31	days	day	NOUN
ejpam-6522	343	32	2	2	NUM
ejpam-6522	343	33	3	3	NUM
ejpam-6522	343	34	4	4	NUM
ejpam-6522	343	35	5	5	NUM
ejpam-6522	343	36	6	6	NUM
ejpam-6522	343	37	7	7	NUM
ejpam-6522	343	38	8	8	NUM
ejpam-6522	343	39	9	9	NUM
ejpam-6522	343	40	10	10	NUM
ejpam-6522	343	41	11	11	NUM
ejpam-6522	343	42	12	12	NUM
ejpam-6522	343	43	n	n	NUM
ejpam-6522	343	44	um	um	INTJ
ejpam-6522	343	45	be	be	AUX
ejpam-6522	343	46	r	r	NOUN
ejpam-6522	343	47	of	of	ADP
ejpam-6522	343	48	a	a	DET
ejpam-6522	343	49	e.	e.	PROPN
ejpam-6522	343	50	ae	ae	PROPN
ejpam-6522	343	51	gy	gy	PROPN
ejpam-6522	344	1	pt	pt	INTJ
ejpam-6522	345	1	i	i	PRON
ejpam-6522	345	2	m	m	VERB
ejpam-6522	345	3	os	os	PROPN
ejpam-6522	345	4	qu	qu	PROPN
ejpam-6522	345	5	ito	ito	PROPN
ejpam-6522	345	6	es	es	PROPN
ejpam-6522	345	7	×105	×105	PROPN
ejpam-6522	345	8	α	α	PROPN
ejpam-6522	345	9	=	=	NOUN
ejpam-6522	345	10	0.7	0.7	NUM
ejpam-6522	345	11	aquatic	aquatic	ADJ
ejpam-6522	345	12	wu	wu	PROPN
ejpam-6522	345	13	aquatic	aquatic	PROPN
ejpam-6522	345	14	wi	wi	PROPN
ejpam-6522	345	15	adult	adult	PROPN
ejpam-6522	345	16	wu	wu	PROPN
ejpam-6522	345	17	adult	adult	PROPN
ejpam-6522	345	18	wi	wi	PROPN
ejpam-6522	345	19	(	(	PUNCT
ejpam-6522	345	20	b	b	NOUN
ejpam-6522	345	21	)	)	PUNCT
ejpam-6522	345	22	0	0	NUM
ejpam-6522	345	23	50	50	NUM
ejpam-6522	345	24	100	100	NUM
ejpam-6522	345	25	150	150	NUM
ejpam-6522	345	26	200	200	NUM
ejpam-6522	345	27	250	250	NUM
ejpam-6522	345	28	300	300	NUM
ejpam-6522	345	29	350	350	NUM
ejpam-6522	345	30	400	400	NUM
ejpam-6522	345	31	days	day	NOUN
ejpam-6522	345	32	2	2	NUM
ejpam-6522	345	33	3	3	NUM
ejpam-6522	345	34	4	4	NUM
ejpam-6522	345	35	5	5	NUM
ejpam-6522	345	36	6	6	NUM
ejpam-6522	345	37	7	7	NUM
ejpam-6522	345	38	8	8	NUM
ejpam-6522	345	39	9	9	NUM
ejpam-6522	345	40	10	10	NUM
ejpam-6522	345	41	11	11	NUM
ejpam-6522	345	42	12	12	NUM
ejpam-6522	345	43	n	n	AUX
ejpam-6522	345	44	um	um	INTJ
ejpam-6522	345	45	be	be	AUX
ejpam-6522	345	46	r	r	NOUN
ejpam-6522	345	47	of	of	ADP
ejpam-6522	345	48	a	a	DET
ejpam-6522	345	49	e.	e.	PROPN
ejpam-6522	345	50	ae	ae	PROPN
ejpam-6522	345	51	gy	gy	PROPN
ejpam-6522	346	1	pt	pt	INTJ
ejpam-6522	347	1	i	i	PRON
ejpam-6522	347	2	m	m	VERB
ejpam-6522	347	3	os	os	PROPN
ejpam-6522	347	4	qu	qu	PROPN
ejpam-6522	347	5	ito	ito	PROPN
ejpam-6522	347	6	es	es	PROPN
ejpam-6522	347	7	×105	×105	PROPN
ejpam-6522	347	8	α	α	NOUN
ejpam-6522	347	9	=	=	NOUN
ejpam-6522	347	10	0.8	0.8	NUM
ejpam-6522	347	11	aquatic	aquatic	ADJ
ejpam-6522	347	12	wu	wu	PROPN
ejpam-6522	347	13	aquatic	aquatic	PROPN
ejpam-6522	347	14	wi	wi	PROPN
ejpam-6522	347	15	adult	adult	PROPN
ejpam-6522	347	16	wu	wu	PROPN
ejpam-6522	347	17	adult	adult	PROPN
ejpam-6522	347	18	wi	wi	PROPN
ejpam-6522	347	19	(	(	PUNCT
ejpam-6522	347	20	c	c	NOUN
ejpam-6522	347	21	)	)	PUNCT
ejpam-6522	347	22	0	0	NUM
ejpam-6522	347	23	50	50	NUM
ejpam-6522	347	24	100	100	NUM
ejpam-6522	347	25	150	150	NUM
ejpam-6522	347	26	200	200	NUM
ejpam-6522	347	27	250	250	NUM
ejpam-6522	347	28	300	300	NUM
ejpam-6522	347	29	350	350	NUM
ejpam-6522	347	30	400	400	NUM
ejpam-6522	347	31	days	day	NOUN
ejpam-6522	347	32	2	2	NUM
ejpam-6522	347	33	3	3	NUM
ejpam-6522	347	34	4	4	NUM
ejpam-6522	347	35	5	5	NUM
ejpam-6522	347	36	6	6	NUM
ejpam-6522	347	37	7	7	NUM
ejpam-6522	347	38	8	8	NUM
ejpam-6522	347	39	9	9	NUM
ejpam-6522	347	40	10	10	NUM
ejpam-6522	347	41	11	11	NUM
ejpam-6522	347	42	12	12	NUM
ejpam-6522	347	43	n	n	AUX
ejpam-6522	347	44	um	um	INTJ
ejpam-6522	347	45	be	be	AUX
ejpam-6522	347	46	r	r	NOUN
ejpam-6522	347	47	of	of	ADP
ejpam-6522	347	48	a	a	DET
ejpam-6522	347	49	e.	e.	PROPN
ejpam-6522	347	50	ae	ae	PROPN
ejpam-6522	347	51	gy	gy	PROPN
ejpam-6522	348	1	pt	pt	INTJ
ejpam-6522	349	1	i	i	PRON
ejpam-6522	349	2	m	m	VERB
ejpam-6522	349	3	os	os	PROPN
ejpam-6522	349	4	qu	qu	PROPN
ejpam-6522	349	5	ito	ito	PROPN
ejpam-6522	349	6	es	es	PROPN
ejpam-6522	349	7	×105	×105	PROPN
ejpam-6522	349	8	α	α	PROPN
ejpam-6522	349	9	=	=	SYM
ejpam-6522	349	10	0.9	0.9	NUM
ejpam-6522	349	11	aquatic	aquatic	ADJ
ejpam-6522	349	12	wu	wu	PROPN
ejpam-6522	349	13	aquatic	aquatic	PROPN
ejpam-6522	349	14	wi	wi	PROPN
ejpam-6522	349	15	adult	adult	PROPN
ejpam-6522	349	16	wu	wu	PROPN
ejpam-6522	349	17	adult	adult	PROPN
ejpam-6522	349	18	wi	wi	PROPN
ejpam-6522	349	19	(	(	PUNCT
ejpam-6522	349	20	d	d	NOUN
ejpam-6522	349	21	)	)	PUNCT
ejpam-6522	349	22	0	0	NUM
ejpam-6522	349	23	50	50	NUM
ejpam-6522	349	24	100	100	NUM
ejpam-6522	349	25	150	150	NUM
ejpam-6522	349	26	200	200	NUM
ejpam-6522	349	27	250	250	NUM
ejpam-6522	349	28	300	300	NUM
ejpam-6522	349	29	350	350	NUM
ejpam-6522	349	30	400	400	NUM
ejpam-6522	349	31	days	day	NOUN
ejpam-6522	349	32	2	2	NUM
ejpam-6522	349	33	3	3	NUM
ejpam-6522	349	34	4	4	NUM
ejpam-6522	349	35	5	5	NUM
ejpam-6522	349	36	6	6	NUM
ejpam-6522	349	37	7	7	NUM
ejpam-6522	349	38	8	8	NUM
ejpam-6522	349	39	9	9	NUM
ejpam-6522	349	40	10	10	NUM
ejpam-6522	349	41	11	11	NUM
ejpam-6522	349	42	12	12	NUM
ejpam-6522	349	43	n	n	AUX
ejpam-6522	349	44	um	um	INTJ
ejpam-6522	349	45	be	be	AUX
ejpam-6522	349	46	r	r	NOUN
ejpam-6522	349	47	of	of	ADP
ejpam-6522	349	48	a	a	DET
ejpam-6522	349	49	e.	e.	PROPN
ejpam-6522	349	50	ae	ae	PROPN
ejpam-6522	349	51	gy	gy	PROPN
ejpam-6522	350	1	pt	pt	INTJ
ejpam-6522	351	1	i	i	PRON
ejpam-6522	351	2	m	m	VERB
ejpam-6522	351	3	os	os	PROPN
ejpam-6522	351	4	qu	qu	PROPN
ejpam-6522	351	5	ito	ito	PROPN
ejpam-6522	351	6	es	es	PROPN
ejpam-6522	351	7	×105	×105	PROPN
ejpam-6522	351	8	α	α	X
ejpam-6522	351	9	=	=	SYM
ejpam-6522	351	10	1	1	NUM
ejpam-6522	351	11	aquatic	aquatic	ADJ
ejpam-6522	351	12	wu	wu	PROPN
ejpam-6522	351	13	aquatic	aquatic	PROPN
ejpam-6522	351	14	wi	wi	PROPN
ejpam-6522	351	15	adult	adult	PROPN
ejpam-6522	351	16	wu	wu	PROPN
ejpam-6522	351	17	adult	adult	PROPN
ejpam-6522	351	18	wi	wi	PROPN
ejpam-6522	351	19	(	(	PUNCT
ejpam-6522	351	20	e	e	NOUN
ejpam-6522	351	21	)	)	PUNCT
ejpam-6522	351	22	figure	figure	NOUN
ejpam-6522	351	23	2	2	NUM
ejpam-6522	351	24	:	:	PUNCT
ejpam-6522	351	25	this	this	DET
ejpam-6522	351	26	figure	figure	NOUN
ejpam-6522	351	27	presents	present	VERB
ejpam-6522	351	28	the	the	DET
ejpam-6522	351	29	numerical	numerical	ADJ
ejpam-6522	351	30	simulation	simulation	NOUN
ejpam-6522	351	31	of	of	ADP
ejpam-6522	351	32	the	the	DET
ejpam-6522	351	33	model	model	NOUN
ejpam-6522	351	34	under	under	ADP
ejpam-6522	351	35	different	different	ADJ
ejpam-6522	351	36	values	value	NOUN
ejpam-6522	351	37	of	of	ADP
ejpam-6522	351	38	the	the	DET
ejpam-6522	351	39	fractional	fractional	ADJ
ejpam-6522	351	40	order	order	NOUN
ejpam-6522	351	41	α	α	NOUN
ejpam-6522	351	42	.	.	PUNCT
ejpam-6522	352	1	in	in	ADP
ejpam-6522	352	2	these	these	DET
ejpam-6522	352	3	graphs	graph	NOUN
ejpam-6522	352	4	we	we	PRON
ejpam-6522	352	5	set	set	VERB
ejpam-6522	352	6	ϕw	ϕw	NOUN
ejpam-6522	352	7	=	=	NOUN
ejpam-6522	352	8	2	2	NUM
ejpam-6522	352	9	,	,	PUNCT
ejpam-6522	352	10	ϕw̄	ϕw̄	NOUN
ejpam-6522	352	11	=	=	SYM
ejpam-6522	352	12	1	1	NUM
ejpam-6522	352	13	,	,	PUNCT
ejpam-6522	352	14	k	k	X
ejpam-6522	352	15	=	=	PUNCT
ejpam-6522	352	16	2×	2×	NUM
ejpam-6522	352	17	106	106	NUM
ejpam-6522	352	18	,	,	PUNCT
ejpam-6522	352	19	qw̄(0	qw̄(0	X
ejpam-6522	352	20	)	)	PUNCT
ejpam-6522	352	21	=	=	SYM
ejpam-6522	352	22	2×	2×	NUM
ejpam-6522	352	23	105	105	NUM
ejpam-6522	352	24	,	,	PUNCT
ejpam-6522	352	25	qw(0	qw(0	NOUN
ejpam-6522	352	26	)	)	PUNCT
ejpam-6522	352	27	=	=	PUNCT
ejpam-6522	352	28	5×	5×	PROPN
ejpam-6522	352	29	105	105	NUM
ejpam-6522	352	30	,	,	PUNCT
ejpam-6522	352	31	fw̄(0	fw̄(0	NOUN
ejpam-6522	352	32	)	)	PUNCT
ejpam-6522	352	33	=	=	SYM
ejpam-6522	352	34	9×	9×	NUM
ejpam-6522	352	35	105	105	NUM
ejpam-6522	352	36	,	,	PUNCT
ejpam-6522	352	37	and	and	CCONJ
ejpam-6522	352	38	fw(0	fw(0	NOUN
ejpam-6522	352	39	)	)	PUNCT
ejpam-6522	352	40	=	=	SYM
ejpam-6522	352	41	600000	600000	NUM
ejpam-6522	352	42	.	.	PUNCT
ejpam-6522	352	43	table	table	NOUN
ejpam-6522	352	44	1	1	NUM
ejpam-6522	352	45	contains	contain	VERB
ejpam-6522	352	46	a	a	DET
ejpam-6522	352	47	list	list	NOUN
ejpam-6522	352	48	of	of	ADP
ejpam-6522	352	49	additional	additional	ADJ
ejpam-6522	352	50	parameters	parameter	NOUN
ejpam-6522	352	51	that	that	PRON
ejpam-6522	352	52	are	be	AUX
ejpam-6522	352	53	used	use	VERB
ejpam-6522	352	54	for	for	ADP
ejpam-6522	352	55	the	the	DET
ejpam-6522	352	56	simulations	simulation	NOUN
ejpam-6522	352	57	of	of	ADP
ejpam-6522	352	58	these	these	DET
ejpam-6522	352	59	graphs	graph	NOUN
ejpam-6522	352	60	.	.	PUNCT
ejpam-6522	353	1	the	the	DET
ejpam-6522	353	2	α	α	NOUN
ejpam-6522	353	3	=	=	SYM
ejpam-6522	353	4	0.5	0.5	NUM
ejpam-6522	353	5	is	be	AUX
ejpam-6522	353	6	the	the	DET
ejpam-6522	353	7	most	most	ADV
ejpam-6522	353	8	suitable	suitable	ADJ
ejpam-6522	353	9	value	value	NOUN
ejpam-6522	353	10	for	for	ADP
ejpam-6522	353	11	this	this	DET
ejpam-6522	353	12	model	model	NOUN
ejpam-6522	353	13	.	.	PUNCT
ejpam-6522	354	1	the	the	DET
ejpam-6522	354	2	number	number	NOUN
ejpam-6522	354	3	of	of	ADP
ejpam-6522	354	4	wi	wi	PROPN
ejpam-6522	354	5	mosquitoes	mosquito	NOUN
ejpam-6522	354	6	rises	rise	VERB
ejpam-6522	354	7	as	as	SCONJ
ejpam-6522	354	8	the	the	DET
ejpam-6522	354	9	value	value	NOUN
ejpam-6522	354	10	of	of	ADP
ejpam-6522	354	11	α	α	PROPN
ejpam-6522	354	12	falls	fall	VERB
ejpam-6522	354	13	from	from	ADP
ejpam-6522	354	14	1	1	NUM
ejpam-6522	354	15	,	,	PUNCT
ejpam-6522	354	16	while	while	SCONJ
ejpam-6522	354	17	the	the	DET
ejpam-6522	354	18	number	number	NOUN
ejpam-6522	354	19	of	of	ADP
ejpam-6522	354	20	wu	wu	PROPN
ejpam-6522	354	21	mosquitoes	mosquito	NOUN
ejpam-6522	354	22	decreases	decrease	VERB
ejpam-6522	354	23	slowly	slowly	ADV
ejpam-6522	354	24	.	.	PUNCT
ejpam-6522	355	1	the	the	DET
ejpam-6522	355	2	wi	wi	PROPN
ejpam-6522	355	3	mosquito	mosquito	PROPN
ejpam-6522	355	4	population	population	NOUN
ejpam-6522	355	5	continues	continue	VERB
ejpam-6522	355	6	to	to	PART
ejpam-6522	355	7	increase	increase	VERB
ejpam-6522	355	8	,	,	PUNCT
ejpam-6522	355	9	but	but	CCONJ
ejpam-6522	355	10	at	at	ADP
ejpam-6522	355	11	a	a	DET
ejpam-6522	355	12	very	very	ADV
ejpam-6522	355	13	slow	slow	ADJ
ejpam-6522	355	14	rate	rate	NOUN
ejpam-6522	355	15	m.	m.	PROPN
ejpam-6522	355	16	yar	yar	PROPN
ejpam-6522	355	17	,	,	PUNCT
ejpam-6522	355	18	s.	s.	PROPN
ejpam-6522	355	19	javeed	javeed	PROPN
ejpam-6522	355	20	,	,	PUNCT
ejpam-6522	355	21	t.	t.	PROPN
ejpam-6522	355	22	abbas	abbas	PROPN
ejpam-6522	355	23	khan	khan	PROPN
ejpam-6522	355	24	/	/	SYM
ejpam-6522	355	25	eur	eur	PROPN
ejpam-6522	355	26	.	.	PUNCT
ejpam-6522	356	1	j.	j.	PROPN
ejpam-6522	356	2	pure	pure	PROPN
ejpam-6522	356	3	appl	appl	PROPN
ejpam-6522	356	4	.	.	PROPN
ejpam-6522	356	5	math	math	PROPN
ejpam-6522	356	6	,	,	PUNCT
ejpam-6522	356	7	18	18	NUM
ejpam-6522	356	8	(	(	PUNCT
ejpam-6522	356	9	3	3	NUM
ejpam-6522	356	10	)	)	PUNCT
ejpam-6522	356	11	(	(	PUNCT
ejpam-6522	356	12	2025	2025	NUM
ejpam-6522	356	13	)	)	PUNCT
ejpam-6522	356	14	,	,	PUNCT
ejpam-6522	356	15	6522	6522	NUM
ejpam-6522	356	16	15	15	NUM
ejpam-6522	356	17	of	of	ADP
ejpam-6522	356	18	23	23	NUM
ejpam-6522	356	19	when	when	SCONJ
ejpam-6522	356	20	the	the	DET
ejpam-6522	356	21	value	value	NOUN
ejpam-6522	356	22	of	of	ADP
ejpam-6522	356	23	α	α	PROPN
ejpam-6522	356	24	falls	fall	VERB
ejpam-6522	356	25	below	below	ADP
ejpam-6522	356	26	0.5	0.5	NUM
ejpam-6522	356	27	.	.	PUNCT
ejpam-6522	357	1	at	at	ADP
ejpam-6522	357	2	this	this	DET
ejpam-6522	357	3	point	point	NOUN
ejpam-6522	357	4	,	,	PUNCT
ejpam-6522	357	5	however	however	ADV
ejpam-6522	357	6	,	,	PUNCT
ejpam-6522	357	7	the	the	DET
ejpam-6522	357	8	wu	wu	PROPN
ejpam-6522	357	9	mosquito	mosquito	PROPN
ejpam-6522	357	10	population	population	PROPN
ejpam-6522	357	11	continues	continue	VERB
ejpam-6522	357	12	to	to	PART
ejpam-6522	357	13	decrease	decrease	VERB
ejpam-6522	357	14	,	,	PUNCT
ejpam-6522	357	15	as	as	SCONJ
ejpam-6522	357	16	shown	show	VERB
ejpam-6522	357	17	in	in	ADP
ejpam-6522	357	18	figure	figure	NOUN
ejpam-6522	357	19	2	2	NUM
ejpam-6522	357	20	.	.	PUNCT
ejpam-6522	357	21	wu	wu	PROPN
ejpam-6522	357	22	mosquito	mosquito	PROPN
ejpam-6522	357	23	populations	population	NOUN
ejpam-6522	357	24	started	start	VERB
ejpam-6522	357	25	increasing	increase	VERB
ejpam-6522	357	26	when	when	SCONJ
ejpam-6522	357	27	α	α	X
ejpam-6522	357	28	<	<	X
ejpam-6522	357	29	0.5	0.5	NUM
ejpam-6522	357	30	.	.	PROPN
ejpam-6522	358	1	6	6	NUM
ejpam-6522	358	2	.	.	X
ejpam-6522	358	3	ulam	ulam	NOUN
ejpam-6522	358	4	-	-	PUNCT
ejpam-6522	358	5	hyers	hyer	NOUN
ejpam-6522	358	6	stability	stability	NOUN
ejpam-6522	358	7	analysis	analysis	NOUN
ejpam-6522	358	8	the	the	DET
ejpam-6522	358	9	stability	stability	NOUN
ejpam-6522	358	10	theory	theory	NOUN
ejpam-6522	358	11	is	be	AUX
ejpam-6522	358	12	a	a	DET
ejpam-6522	358	13	fundamental	fundamental	ADJ
ejpam-6522	358	14	aspect	aspect	NOUN
ejpam-6522	358	15	of	of	ADP
ejpam-6522	358	16	the	the	DET
ejpam-6522	358	17	qualitative	qualitative	ADJ
ejpam-6522	358	18	analysis	analysis	NOUN
ejpam-6522	358	19	of	of	ADP
ejpam-6522	358	20	differential	differential	ADJ
ejpam-6522	358	21	equations	equation	NOUN
ejpam-6522	358	22	.	.	PUNCT
ejpam-6522	359	1	the	the	DET
ejpam-6522	359	2	concept	concept	NOUN
ejpam-6522	359	3	of	of	ADP
ejpam-6522	359	4	ulam	ulam	PROPN
ejpam-6522	359	5	stability	stability	PROPN
ejpam-6522	359	6	was	be	AUX
ejpam-6522	359	7	introduced	introduce	VERB
ejpam-6522	359	8	by	by	ADP
ejpam-6522	359	9	ulam	ulam	PROPN
ejpam-6522	359	10	[	[	X
ejpam-6522	359	11	47	47	NUM
ejpam-6522	359	12	]	]	PUNCT
ejpam-6522	359	13	.	.	PUNCT
ejpam-6522	360	1	in	in	ADP
ejpam-6522	360	2	1940	1940	NUM
ejpam-6522	360	3	.	.	PUNCT
ejpam-6522	361	1	he	he	PRON
ejpam-6522	361	2	proposed	propose	VERB
ejpam-6522	361	3	to	to	PART
ejpam-6522	361	4	investigate	investigate	VERB
ejpam-6522	361	5	the	the	DET
ejpam-6522	361	6	degree	degree	NOUN
ejpam-6522	361	7	of	of	ADP
ejpam-6522	361	8	approximation	approximation	NOUN
ejpam-6522	361	9	between	between	ADP
ejpam-6522	361	10	the	the	DET
ejpam-6522	361	11	approximate	approximate	ADJ
ejpam-6522	361	12	solution	solution	NOUN
ejpam-6522	361	13	and	and	CCONJ
ejpam-6522	361	14	the	the	DET
ejpam-6522	361	15	exact	exact	ADJ
ejpam-6522	361	16	solution	solution	NOUN
ejpam-6522	361	17	of	of	ADP
ejpam-6522	361	18	the	the	DET
ejpam-6522	361	19	equations	equation	NOUN
ejpam-6522	361	20	.	.	PUNCT
ejpam-6522	362	1	in	in	ADP
ejpam-6522	362	2	1941	1941	NUM
ejpam-6522	362	3	,	,	PUNCT
ejpam-6522	362	4	hyers	hyer	NOUN
ejpam-6522	362	5	[	[	X
ejpam-6522	362	6	48	48	NUM
ejpam-6522	362	7	]	]	PUNCT
ejpam-6522	362	8	addressed	address	VERB
ejpam-6522	362	9	ulam	ulam	PROPN
ejpam-6522	362	10	’s	’s	PART
ejpam-6522	362	11	notion	notion	NOUN
ejpam-6522	362	12	and	and	CCONJ
ejpam-6522	362	13	established	establish	VERB
ejpam-6522	362	14	the	the	DET
ejpam-6522	362	15	concept	concept	NOUN
ejpam-6522	362	16	of	of	ADP
ejpam-6522	362	17	ulam	ulam	NOUN
ejpam-6522	362	18	-	-	PUNCT
ejpam-6522	362	19	hyers	hyer	NOUN
ejpam-6522	362	20	stability	stability	NOUN
ejpam-6522	362	21	for	for	ADP
ejpam-6522	362	22	equations	equation	NOUN
ejpam-6522	362	23	.	.	PUNCT
ejpam-6522	363	1	it	it	PRON
ejpam-6522	363	2	addresses	address	VERB
ejpam-6522	363	3	short	short	ADJ
ejpam-6522	363	4	-	-	PUNCT
ejpam-6522	363	5	term	term	NOUN
ejpam-6522	363	6	perturbations	perturbation	NOUN
ejpam-6522	363	7	and	and	CCONJ
ejpam-6522	363	8	analyzes	analyze	VERB
ejpam-6522	363	9	how	how	SCONJ
ejpam-6522	363	10	minor	minor	ADJ
ejpam-6522	363	11	alterations	alteration	NOUN
ejpam-6522	363	12	in	in	ADP
ejpam-6522	363	13	the	the	DET
ejpam-6522	363	14	equation	equation	NOUN
ejpam-6522	363	15	and	and	CCONJ
ejpam-6522	363	16	initial	initial	ADJ
ejpam-6522	363	17	conditions	condition	NOUN
ejpam-6522	363	18	affect	affect	VERB
ejpam-6522	363	19	the	the	DET
ejpam-6522	363	20	solution	solution	NOUN
ejpam-6522	363	21	inside	inside	ADP
ejpam-6522	363	22	a	a	DET
ejpam-6522	363	23	local	local	ADJ
ejpam-6522	363	24	neighborhood	neighborhood	NOUN
ejpam-6522	363	25	.	.	PUNCT
ejpam-6522	364	1	furthermore	furthermore	ADV
ejpam-6522	364	2	,	,	PUNCT
ejpam-6522	364	3	given	give	VERB
ejpam-6522	364	4	that	that	DET
ejpam-6522	364	5	stability	stability	NOUN
ejpam-6522	364	6	is	be	AUX
ejpam-6522	364	7	necessary	necessary	ADJ
ejpam-6522	364	8	for	for	ADP
ejpam-6522	364	9	an	an	DET
ejpam-6522	364	10	approximate	approximate	ADJ
ejpam-6522	364	11	solution	solution	NOUN
ejpam-6522	364	12	,	,	PUNCT
ejpam-6522	364	13	we	we	PRON
ejpam-6522	364	14	focus	focus	VERB
ejpam-6522	364	15	on	on	ADP
ejpam-6522	364	16	the	the	DET
ejpam-6522	364	17	ulam	ulam	NOUN
ejpam-6522	364	18	-	-	PUNCT
ejpam-6522	364	19	hyers	hyer	NOUN
ejpam-6522	364	20	stability	stability	NOUN
ejpam-6522	364	21	for	for	ADP
ejpam-6522	364	22	the	the	DET
ejpam-6522	364	23	model	model	NOUN
ejpam-6522	364	24	(	(	PUNCT
ejpam-6522	364	25	1	1	NUM
ejpam-6522	364	26	)	)	PUNCT
ejpam-6522	364	27	by	by	ADP
ejpam-6522	364	28	using	use	VERB
ejpam-6522	364	29	the	the	DET
ejpam-6522	364	30	technique	technique	NOUN
ejpam-6522	364	31	of	of	ADP
ejpam-6522	364	32	nonlinear	nonlinear	ADJ
ejpam-6522	364	33	functional	functional	ADJ
ejpam-6522	364	34	analysis	analysis	NOUN
ejpam-6522	364	35	.	.	PUNCT
ejpam-6522	365	1	we	we	PRON
ejpam-6522	365	2	will	will	AUX
ejpam-6522	365	3	first	first	ADV
ejpam-6522	365	4	present	present	VERB
ejpam-6522	365	5	some	some	DET
ejpam-6522	365	6	lemmas	lemmas	ADJ
ejpam-6522	365	7	essential	essential	ADJ
ejpam-6522	365	8	for	for	ADP
ejpam-6522	365	9	stability	stability	NOUN
ejpam-6522	365	10	.	.	PUNCT
ejpam-6522	366	1	we	we	PRON
ejpam-6522	366	2	now	now	ADV
ejpam-6522	366	3	reformulate	reformulate	VERB
ejpam-6522	366	4	the	the	DET
ejpam-6522	366	5	model	model	NOUN
ejpam-6522	366	6	(	(	PUNCT
ejpam-6522	366	7	1	1	NUM
ejpam-6522	366	8	)	)	PUNCT
ejpam-6522	366	9	in	in	ADP
ejpam-6522	366	10	the	the	DET
ejpam-6522	366	11	following	follow	VERB
ejpam-6522	366	12	manner.	manner.	PRON
ejpam-6522	366	13	cdαqw̄	cdαqw̄	PROPN
ejpam-6522	366	14	=	=	SYM
ejpam-6522	366	15	θ1(t	θ1(t	PROPN
ejpam-6522	366	16	,	,	PUNCT
ejpam-6522	366	17	qw̄	qw̄	NOUN
ejpam-6522	366	18	,	,	PUNCT
ejpam-6522	366	19	qw	qw	NOUN
ejpam-6522	366	20	,	,	PUNCT
ejpam-6522	366	21	fw̄	fw̄	ADJ
ejpam-6522	366	22	,	,	PUNCT
ejpam-6522	366	23	fw	fw	ADJ
ejpam-6522	366	24	)	)	PUNCT
ejpam-6522	366	25	,	,	PUNCT
ejpam-6522	366	26	cdαqw	cdαqw	NOUN
ejpam-6522	366	27	=	=	SYM
ejpam-6522	366	28	θ2(t	θ2(t	PROPN
ejpam-6522	366	29	,	,	PUNCT
ejpam-6522	366	30	qw̄	qw̄	NOUN
ejpam-6522	366	31	,	,	PUNCT
ejpam-6522	366	32	qw	qw	NOUN
ejpam-6522	366	33	,	,	PUNCT
ejpam-6522	366	34	fw̄	fw̄	ADJ
ejpam-6522	366	35	,	,	PUNCT
ejpam-6522	366	36	fw	fw	ADJ
ejpam-6522	366	37	)	)	PUNCT
ejpam-6522	366	38	,	,	PUNCT
ejpam-6522	366	39	cdαfw̄	cdαfw̄	PROPN
ejpam-6522	366	40	=	=	SYM
ejpam-6522	366	41	θ3(t	θ3(t	PROPN
ejpam-6522	366	42	,	,	PUNCT
ejpam-6522	366	43	qw̄	qw̄	NOUN
ejpam-6522	366	44	,	,	PUNCT
ejpam-6522	366	45	qw	qw	NOUN
ejpam-6522	366	46	,	,	PUNCT
ejpam-6522	366	47	fw̄	fw̄	ADJ
ejpam-6522	366	48	,	,	PUNCT
ejpam-6522	366	49	fw	fw	ADJ
ejpam-6522	366	50	)	)	PUNCT
ejpam-6522	366	51	,	,	PUNCT
ejpam-6522	366	52	cdαfw	cdαfw	NOUN
ejpam-6522	366	53	=	=	SYM
ejpam-6522	366	54	θ4(t	θ4(t	ADJ
ejpam-6522	366	55	,	,	PUNCT
ejpam-6522	366	56	qw̄	qw̄	NOUN
ejpam-6522	366	57	,	,	PUNCT
ejpam-6522	366	58	qw	qw	NOUN
ejpam-6522	366	59	,	,	PUNCT
ejpam-6522	366	60	fw̄	fw̄	ADJ
ejpam-6522	366	61	,	,	PUNCT
ejpam-6522	366	62	fw	fw	ADJ
ejpam-6522	366	63	)	)	PUNCT
ejpam-6522	366	64	.	.	PUNCT
ejpam-6522	367	1	(	(	PUNCT
ejpam-6522	367	2	35	35	NUM
ejpam-6522	367	3	)	)	PUNCT
ejpam-6522	367	4	where	where	PROPN
ejpam-6522	367	5	θ1(t	θ1(t	PROPN
ejpam-6522	367	6	,	,	PUNCT
ejpam-6522	367	7	qw̄	qw̄	NOUN
ejpam-6522	367	8	,	,	PUNCT
ejpam-6522	367	9	qw	qw	NOUN
ejpam-6522	367	10	,	,	PUNCT
ejpam-6522	367	11	fw̄	fw̄	ADJ
ejpam-6522	367	12	,	,	PUNCT
ejpam-6522	367	13	fw	fw	ADJ
ejpam-6522	367	14	)	)	PUNCT
ejpam-6522	367	15	=	=	NOUN
ejpam-6522	368	1	[	[	PUNCT
ejpam-6522	368	2	ϕw̄f	ϕw̄f	X
ejpam-6522	368	3	2	2	NUM
ejpam-6522	368	4	w̄	w̄	NOUN
ejpam-6522	368	5	+	+	CCONJ
ejpam-6522	368	6	ρ1ϕwf	ρ1ϕwf	PROPN
ejpam-6522	368	7	2	2	NUM
ejpam-6522	368	8	w	w	NOUN
ejpam-6522	368	9	+	+	CCONJ
ejpam-6522	368	10	ρ2ϕwfwfw̄	ρ2ϕwfwfw̄	ADJ
ejpam-6522	368	11	fw̄	fw̄	NOUN
ejpam-6522	368	12	+	+	CCONJ
ejpam-6522	368	13	fw	fw	X
ejpam-6522	368	14	]	]	X
ejpam-6522	368	15	(	(	PUNCT
ejpam-6522	368	16	1−	1−	NUM
ejpam-6522	368	17	q	q	PROPN
ejpam-6522	368	18	k	k	PROPN
ejpam-6522	368	19	)	)	PUNCT
ejpam-6522	368	20	−	−	PROPN
ejpam-6522	369	1	(	(	PUNCT
ejpam-6522	369	2	µa	µa	NOUN
ejpam-6522	369	3	+	+	CCONJ
ejpam-6522	369	4	ψ)qw̄	ψ)qw̄	ADJ
ejpam-6522	369	5	,	,	PUNCT
ejpam-6522	369	6	θ2(t	θ2(t	NOUN
ejpam-6522	369	7	,	,	PUNCT
ejpam-6522	369	8	qw̄	qw̄	NOUN
ejpam-6522	369	9	,	,	PUNCT
ejpam-6522	369	10	qw	qw	NOUN
ejpam-6522	369	11	,	,	PUNCT
ejpam-6522	369	12	fw̄	fw̄	ADJ
ejpam-6522	369	13	,	,	PUNCT
ejpam-6522	369	14	fw	fw	ADJ
ejpam-6522	369	15	)	)	PUNCT
ejpam-6522	369	16	=	=	SYM
ejpam-6522	370	1	[	[	PUNCT
ejpam-6522	370	2	(	(	PUNCT
ejpam-6522	370	3	1−	1−	NUM
ejpam-6522	370	4	ρ1)ϕwf	ρ1)ϕwf	ADJ
ejpam-6522	370	5	2	2	NUM
ejpam-6522	370	6	w	w	NOUN
ejpam-6522	370	7	+	+	CCONJ
ejpam-6522	370	8	(	(	PUNCT
ejpam-6522	370	9	1−	1−	NUM
ejpam-6522	370	10	ρ2)ϕwfwfw̄	ρ2)ϕwfwfw̄	NOUN
ejpam-6522	370	11	fw̄	fw̄	NOUN
ejpam-6522	370	12	+	+	CCONJ
ejpam-6522	370	13	fw	fw	X
ejpam-6522	370	14	]	]	X
ejpam-6522	370	15	(	(	PUNCT
ejpam-6522	370	16	1−	1−	NUM
ejpam-6522	370	17	q	q	PROPN
ejpam-6522	370	18	k	k	PROPN
ejpam-6522	370	19	)	)	PUNCT
ejpam-6522	370	20	−	−	PROPN
ejpam-6522	371	1	(	(	PUNCT
ejpam-6522	371	2	µa	µa	PROPN
ejpam-6522	371	3	+	+	CCONJ
ejpam-6522	371	4	ψ)qw	ψ)qw	PROPN
ejpam-6522	371	5	,	,	PUNCT
ejpam-6522	371	6	θ3(t	θ3(t	PROPN
ejpam-6522	371	7	,	,	PUNCT
ejpam-6522	371	8	qw̄	qw̄	NOUN
ejpam-6522	371	9	,	,	PUNCT
ejpam-6522	371	10	qw	qw	NOUN
ejpam-6522	371	11	,	,	PUNCT
ejpam-6522	371	12	fw̄	fw̄	ADJ
ejpam-6522	371	13	,	,	PUNCT
ejpam-6522	371	14	fw	fw	ADJ
ejpam-6522	371	15	)	)	PUNCT
ejpam-6522	371	16	=	=	NOUN
ejpam-6522	371	17	ψ	ψ	PRON
ejpam-6522	371	18	2	2	NUM
ejpam-6522	371	19	qw̄	qw̄	NOUN
ejpam-6522	371	20	+	+	CCONJ
ejpam-6522	371	21	σfw	σfw	NOUN
ejpam-6522	371	22	−	−	NOUN
ejpam-6522	371	23	µw̄fw̄	µw̄fw̄	PROPN
ejpam-6522	371	24	,	,	PUNCT
ejpam-6522	371	25	θ4(t	θ4(t	ADJ
ejpam-6522	371	26	,	,	PUNCT
ejpam-6522	371	27	qw̄	qw̄	NOUN
ejpam-6522	371	28	,	,	PUNCT
ejpam-6522	371	29	qw	qw	NOUN
ejpam-6522	371	30	,	,	PUNCT
ejpam-6522	371	31	fw̄	fw̄	ADJ
ejpam-6522	371	32	,	,	PUNCT
ejpam-6522	371	33	fw	fw	ADJ
ejpam-6522	371	34	)	)	PUNCT
ejpam-6522	371	35	=	=	NOUN
ejpam-6522	371	36	ψ	ψ	PRON
ejpam-6522	371	37	2	2	NUM
ejpam-6522	371	38	qw	qw	ADP
ejpam-6522	371	39	−	−	PROPN
ejpam-6522	371	40	σfw	σfw	NOUN
ejpam-6522	371	41	−	−	NOUN
ejpam-6522	371	42	µwfw	µwfw	NOUN
ejpam-6522	371	43	.	.	PUNCT
ejpam-6522	372	1	(	(	PUNCT
ejpam-6522	372	2	36	36	NUM
ejpam-6522	372	3	)	)	PUNCT
ejpam-6522	372	4	thus	thus	ADV
ejpam-6522	372	5	,	,	PUNCT
ejpam-6522	372	6	the	the	DET
ejpam-6522	372	7	proposed	propose	VERB
ejpam-6522	372	8	model	model	NOUN
ejpam-6522	372	9	(	(	PUNCT
ejpam-6522	372	10	1	1	X
ejpam-6522	372	11	)	)	PUNCT
ejpam-6522	372	12	takes	take	VERB
ejpam-6522	372	13	the	the	DET
ejpam-6522	372	14	form	form	NOUN
ejpam-6522	372	15	{	{	PUNCT
ejpam-6522	372	16	dα	dα	PROPN
ejpam-6522	372	17	t	t	PROPN
ejpam-6522	372	18	ν(t	ν(t	NOUN
ejpam-6522	372	19	)	)	PUNCT
ejpam-6522	372	20	=	=	SYM
ejpam-6522	372	21	r(t	r(t	NOUN
ejpam-6522	372	22	,	,	PUNCT
ejpam-6522	372	23	ν(t	ν(t	NOUN
ejpam-6522	372	24	)	)	PUNCT
ejpam-6522	372	25	)	)	PUNCT
ejpam-6522	372	26	;	;	PUNCT
ejpam-6522	372	27	t	t	PROPN
ejpam-6522	372	28	∈	∈	PROPN
ejpam-6522	373	1	[	[	X
ejpam-6522	373	2	0	0	NUM
ejpam-6522	373	3	,	,	PUNCT
ejpam-6522	373	4	b	b	NOUN
ejpam-6522	373	5	]	]	X
ejpam-6522	373	6	,	,	PUNCT
ejpam-6522	373	7	0	0	PUNCT
ejpam-6522	373	8	<	<	X
ejpam-6522	373	9	α	α	PROPN
ejpam-6522	373	10	⩽	⩽	PROPN
ejpam-6522	373	11	1	1	NUM
ejpam-6522	373	12	,	,	PUNCT
ejpam-6522	373	13	ν(0	ν(0	PROPN
ejpam-6522	373	14	)	)	PUNCT
ejpam-6522	373	15	=	=	SYM
ejpam-6522	373	16	ν0	ν0	PROPN
ejpam-6522	373	17	.	.	PUNCT
ejpam-6522	374	1	(	(	PUNCT
ejpam-6522	374	2	37	37	NUM
ejpam-6522	374	3	)	)	PUNCT
ejpam-6522	374	4	in	in	ADP
ejpam-6522	374	5	view	view	NOUN
ejpam-6522	374	6	of	of	ADP
ejpam-6522	374	7	this	this	PRON
ejpam-6522	374	8	the	the	DET
ejpam-6522	374	9	problem	problem	NOUN
ejpam-6522	374	10	(	(	PUNCT
ejpam-6522	374	11	37	37	NUM
ejpam-6522	374	12	)	)	PUNCT
ejpam-6522	374	13	is	be	AUX
ejpam-6522	374	14	given	give	VERB
ejpam-6522	374	15	by	by	ADP
ejpam-6522	374	16	,	,	PUNCT
ejpam-6522	374	17	ν(t	ν(t	NOUN
ejpam-6522	374	18	)	)	PUNCT
ejpam-6522	374	19	=	=	SYM
ejpam-6522	374	20	ν0	ν0	PROPN
ejpam-6522	374	21	+	+	CCONJ
ejpam-6522	374	22	iα	iα	ADJ
ejpam-6522	374	23	0r(t	0r(t	NOUN
ejpam-6522	374	24	,	,	PUNCT
ejpam-6522	374	25	ν(t	ν(t	NOUN
ejpam-6522	374	26	)	)	PUNCT
ejpam-6522	374	27	)	)	PUNCT
ejpam-6522	375	1	=	=	SYM
ejpam-6522	375	2	ν0	ν0	NOUN
ejpam-6522	375	3	+	+	CCONJ
ejpam-6522	375	4	1	1	NUM
ejpam-6522	375	5	γ(α	γ(α	NOUN
ejpam-6522	375	6	)	)	PUNCT
ejpam-6522	375	7	∫	∫	PROPN
ejpam-6522	375	8	t	t	PROPN
ejpam-6522	375	9	0	0	NUM
ejpam-6522	375	10	(	(	PUNCT
ejpam-6522	375	11	t−	t−	PROPN
ejpam-6522	375	12	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	375	13	,	,	PUNCT
ejpam-6522	375	14	ν(k))dk	ν(k))dk	PROPN
ejpam-6522	375	15	.	.	PUNCT
ejpam-6522	376	1	(	(	PUNCT
ejpam-6522	376	2	38	38	NUM
ejpam-6522	376	3	)	)	PUNCT
ejpam-6522	376	4	let	let	VERB
ejpam-6522	376	5	ε	ε	PROPN
ejpam-6522	376	6	>	>	X
ejpam-6522	376	7	0	0	PUNCT
ejpam-6522	377	1	and	and	CCONJ
ejpam-6522	377	2	consider	consider	VERB
ejpam-6522	377	3	the	the	DET
ejpam-6522	377	4	inequality	inequality	NOUN
ejpam-6522	377	5	given	give	VERB
ejpam-6522	377	6	below	below	ADP
ejpam-6522	377	7	|dα	|dα	PRON
ejpam-6522	377	8	t	t	NOUN
ejpam-6522	377	9	ν(t)−r(t	ν(t)−r(t	NOUN
ejpam-6522	377	10	,	,	PUNCT
ejpam-6522	377	11	ν(t))|	ν(t))|	VERB
ejpam-6522	377	12	≤	≤	NUM
ejpam-6522	377	13	ε	ε	PROPN
ejpam-6522	377	14	,	,	PUNCT
ejpam-6522	377	15	t	t	PROPN
ejpam-6522	377	16	∈	∈	PROPN
ejpam-6522	378	1	[	[	X
ejpam-6522	378	2	0	0	NUM
ejpam-6522	378	3	,	,	PUNCT
ejpam-6522	378	4	b	b	NOUN
ejpam-6522	378	5	]	]	X
ejpam-6522	378	6	,	,	PUNCT
ejpam-6522	378	7	(	(	PUNCT
ejpam-6522	378	8	39	39	NUM
ejpam-6522	378	9	)	)	PUNCT
ejpam-6522	378	10	where	where	SCONJ
ejpam-6522	378	11	ε	ε	PROPN
ejpam-6522	378	12	=	=	SYM
ejpam-6522	378	13	max(εj	max(εj	NOUN
ejpam-6522	378	14	)	)	PUNCT
ejpam-6522	378	15	t	t	NOUN
ejpam-6522	378	16	,	,	PUNCT
ejpam-6522	378	17	j	j	PROPN
ejpam-6522	378	18	=	=	SYM
ejpam-6522	378	19	1	1	NUM
ejpam-6522	378	20	,	,	PUNCT
ejpam-6522	378	21	2	2	NUM
ejpam-6522	378	22	,	,	PUNCT
ejpam-6522	378	23	3	3	NUM
ejpam-6522	378	24	,	,	PUNCT
ejpam-6522	378	25	4	4	NUM
ejpam-6522	378	26	.	.	PUNCT
ejpam-6522	378	27	m.	m.	PROPN
ejpam-6522	378	28	yar	yar	PROPN
ejpam-6522	378	29	,	,	PUNCT
ejpam-6522	378	30	s.	s.	PROPN
ejpam-6522	378	31	javeed	javeed	PROPN
ejpam-6522	378	32	,	,	PUNCT
ejpam-6522	378	33	t.	t.	PROPN
ejpam-6522	378	34	abbas	abbas	PROPN
ejpam-6522	378	35	khan	khan	PROPN
ejpam-6522	378	36	/	/	SYM
ejpam-6522	378	37	eur	eur	PROPN
ejpam-6522	378	38	.	.	PUNCT
ejpam-6522	379	1	j.	j.	PROPN
ejpam-6522	379	2	pure	pure	PROPN
ejpam-6522	379	3	appl	appl	PROPN
ejpam-6522	379	4	.	.	PROPN
ejpam-6522	379	5	math	math	PROPN
ejpam-6522	379	6	,	,	PUNCT
ejpam-6522	379	7	18	18	NUM
ejpam-6522	379	8	(	(	PUNCT
ejpam-6522	379	9	3	3	NUM
ejpam-6522	379	10	)	)	PUNCT
ejpam-6522	379	11	(	(	PUNCT
ejpam-6522	379	12	2025	2025	NUM
ejpam-6522	379	13	)	)	PUNCT
ejpam-6522	379	14	,	,	PUNCT
ejpam-6522	379	15	6522	6522	NUM
ejpam-6522	379	16	16	16	NUM
ejpam-6522	379	17	of	of	ADP
ejpam-6522	379	18	23	23	NUM
ejpam-6522	379	19	definition	definition	NOUN
ejpam-6522	379	20	3	3	NUM
ejpam-6522	379	21	.	.	PUNCT
ejpam-6522	380	1	the	the	DET
ejpam-6522	380	2	proposed	propose	VERB
ejpam-6522	380	3	model	model	NOUN
ejpam-6522	380	4	(	(	PUNCT
ejpam-6522	380	5	37	37	NUM
ejpam-6522	380	6	)	)	PUNCT
ejpam-6522	380	7	which	which	PRON
ejpam-6522	380	8	is	be	AUX
ejpam-6522	380	9	equivalent	equivalent	ADJ
ejpam-6522	380	10	to	to	ADP
ejpam-6522	380	11	system	system	NOUN
ejpam-6522	380	12	(	(	PUNCT
ejpam-6522	380	13	1	1	X
ejpam-6522	380	14	)	)	PUNCT
ejpam-6522	380	15	is	be	AUX
ejpam-6522	380	16	ulam	ulam	NOUN
ejpam-6522	380	17	-	-	PUNCT
ejpam-6522	380	18	hyers	hyer	NOUN
ejpam-6522	380	19	stable	stable	ADJ
ejpam-6522	380	20	if	if	SCONJ
ejpam-6522	380	21	there	there	PRON
ejpam-6522	380	22	exists	exist	VERB
ejpam-6522	380	23	cr	cr	ADP
ejpam-6522	380	24	>	>	PUNCT
ejpam-6522	380	25	0	0	PROPN
ejpam-6522	380	26	,	,	PUNCT
ejpam-6522	380	27	such	such	ADJ
ejpam-6522	380	28	that	that	PRON
ejpam-6522	380	29	for	for	ADP
ejpam-6522	380	30	every	every	DET
ejpam-6522	380	31	ε	ε	PROPN
ejpam-6522	380	32	>	>	X
ejpam-6522	380	33	0	0	PROPN
ejpam-6522	380	34	and	and	CCONJ
ejpam-6522	380	35	a	a	DET
ejpam-6522	380	36	solution	solution	NOUN
ejpam-6522	380	37	ν(t	ν(t	NOUN
ejpam-6522	380	38	)	)	PUNCT
ejpam-6522	380	39	∈	∈	PROPN
ejpam-6522	380	40	b	b	NOUN
ejpam-6522	380	41	satisfies	satisfie	NOUN
ejpam-6522	380	42	eq	eq	ADJ
ejpam-6522	380	43	.	.	PUNCT
ejpam-6522	381	1	(	(	PUNCT
ejpam-6522	381	2	39	39	NUM
ejpam-6522	381	3	)	)	PUNCT
ejpam-6522	381	4	,	,	PUNCT
ejpam-6522	381	5	there	there	PRON
ejpam-6522	381	6	exists	exist	VERB
ejpam-6522	381	7	a	a	DET
ejpam-6522	381	8	unique	unique	ADJ
ejpam-6522	381	9	solution	solution	NOUN
ejpam-6522	381	10	ν(t	ν(t	NOUN
ejpam-6522	381	11	)	)	PUNCT
ejpam-6522	381	12	∈	∈	PROPN
ejpam-6522	381	13	b	b	PROPN
ejpam-6522	381	14	of	of	ADP
ejpam-6522	381	15	system	system	NOUN
ejpam-6522	381	16	(	(	PUNCT
ejpam-6522	381	17	1	1	NUM
ejpam-6522	381	18	)	)	PUNCT
ejpam-6522	381	19	,	,	PUNCT
ejpam-6522	381	20	with	with	ADP
ejpam-6522	381	21	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	381	22	ν(t)|	ν(t)|	ADJ
ejpam-6522	381	23	≤	≤	ADJ
ejpam-6522	381	24	xrε	xrε	NOUN
ejpam-6522	381	25	,	,	PUNCT
ejpam-6522	381	26	t	t	PROPN
ejpam-6522	381	27	∈	∈	PROPN
ejpam-6522	381	28	j	j	PROPN
ejpam-6522	381	29	,	,	PUNCT
ejpam-6522	381	30	(	(	PUNCT
ejpam-6522	381	31	40	40	NUM
ejpam-6522	381	32	)	)	PUNCT
ejpam-6522	381	33	where	where	SCONJ
ejpam-6522	381	34	xr	xr	PROPN
ejpam-6522	381	35	=	=	SYM
ejpam-6522	381	36	max(crj	max(crj	PROPN
ejpam-6522	381	37	)	)	PUNCT
ejpam-6522	381	38	t	t	PROPN
ejpam-6522	381	39	.	.	PUNCT
ejpam-6522	382	1	remark	remark	PROPN
ejpam-6522	382	2	1	1	NUM
ejpam-6522	382	3	.	.	PUNCT
ejpam-6522	383	1	a	a	DET
ejpam-6522	383	2	function	function	NOUN
ejpam-6522	383	3	ν(t	ν(t	NOUN
ejpam-6522	383	4	)	)	PUNCT
ejpam-6522	383	5	∈	∈	PROPN
ejpam-6522	383	6	b	b	NOUN
ejpam-6522	383	7	satisfies	satisfie	NOUN
ejpam-6522	383	8	inequality	inequality	NOUN
ejpam-6522	383	9	(	(	PUNCT
ejpam-6522	383	10	39	39	NUM
ejpam-6522	383	11	)	)	PUNCT
ejpam-6522	383	12	if	if	SCONJ
ejpam-6522	383	13	and	and	CCONJ
ejpam-6522	383	14	only	only	ADV
ejpam-6522	383	15	if	if	SCONJ
ejpam-6522	383	16	there	there	PRON
ejpam-6522	383	17	exists	exist	VERB
ejpam-6522	383	18	a	a	DET
ejpam-6522	383	19	function	function	NOUN
ejpam-6522	383	20	h	h	NOUN
ejpam-6522	383	21	∈	∈	PROPN
ejpam-6522	383	22	b	b	PROPN
ejpam-6522	383	23	with	with	ADP
ejpam-6522	383	24	properties	property	NOUN
ejpam-6522	383	25	below	below	ADP
ejpam-6522	383	26	:	:	PUNCT
ejpam-6522	383	27	(	(	PUNCT
ejpam-6522	383	28	i	i	NOUN
ejpam-6522	383	29	)	)	PUNCT
ejpam-6522	384	1	|h(t)|	|h(t)|	NOUN
ejpam-6522	384	2	≤	≤	NUM
ejpam-6522	384	3	ε	ε	PROPN
ejpam-6522	384	4	,	,	PUNCT
ejpam-6522	384	5	t	t	PROPN
ejpam-6522	384	6	∈	∈	PROPN
ejpam-6522	384	7	j	j	PROPN
ejpam-6522	384	8	.	.	PUNCT
ejpam-6522	384	9	(	(	PUNCT
ejpam-6522	384	10	ii	ii	NOUN
ejpam-6522	384	11	)	)	PUNCT
ejpam-6522	384	12	dα	dα	PROPN
ejpam-6522	384	13	t	t	PROPN
ejpam-6522	384	14	ν(t	ν(t	NOUN
ejpam-6522	384	15	)	)	PUNCT
ejpam-6522	384	16	=	=	SYM
ejpam-6522	384	17	r(t	r(t	NOUN
ejpam-6522	384	18	,	,	PUNCT
ejpam-6522	384	19	ν(t	ν(t	NOUN
ejpam-6522	384	20	)	)	PUNCT
ejpam-6522	384	21	)	)	PUNCT
ejpam-6522	385	1	+	+	CCONJ
ejpam-6522	385	2	h(t	h(t	NUM
ejpam-6522	385	3	)	)	PUNCT
ejpam-6522	385	4	,	,	PUNCT
ejpam-6522	385	5	t	t	PROPN
ejpam-6522	385	6	∈	∈	PROPN
ejpam-6522	385	7	j	j	PROPN
ejpam-6522	385	8	.	.	PUNCT
ejpam-6522	386	1	lemma	lemma	PROPN
ejpam-6522	386	2	2	2	X
ejpam-6522	386	3	.	.	PROPN
ejpam-6522	386	4	assume	assume	VERB
ejpam-6522	386	5	that	that	SCONJ
ejpam-6522	386	6	ν(t	ν(t	NOUN
ejpam-6522	386	7	)	)	PUNCT
ejpam-6522	386	8	∈	∈	PROPN
ejpam-6522	386	9	b	b	NOUN
ejpam-6522	386	10	satisfies	satisfie	NOUN
ejpam-6522	386	11	inequality	inequality	NOUN
ejpam-6522	386	12	(	(	PUNCT
ejpam-6522	386	13	39	39	NUM
ejpam-6522	386	14	)	)	PUNCT
ejpam-6522	386	15	,	,	PUNCT
ejpam-6522	386	16	then	then	ADV
ejpam-6522	386	17	ν(t	ν(t	NOUN
ejpam-6522	386	18	)	)	PUNCT
ejpam-6522	386	19	satisfies	satisfy	VERB
ejpam-6522	386	20	the	the	DET
ejpam-6522	386	21	integral	integral	ADJ
ejpam-6522	386	22	inequality	inequality	NOUN
ejpam-6522	386	23	described	describe	VERB
ejpam-6522	386	24	by	by	ADP
ejpam-6522	386	25	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	386	26	ν0	ν0	PROPN
ejpam-6522	386	27	−	−	ADP
ejpam-6522	386	28	1	1	NUM
ejpam-6522	386	29	γ(α	γ(α	NOUN
ejpam-6522	386	30	)	)	PUNCT
ejpam-6522	386	31	∫	∫	PROPN
ejpam-6522	386	32	t	t	PROPN
ejpam-6522	386	33	0	0	NUM
ejpam-6522	387	1	(	(	PUNCT
ejpam-6522	387	2	t−	t−	PROPN
ejpam-6522	387	3	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	387	4	,	,	PUNCT
ejpam-6522	387	5	ν(k))dk|	ν(k))dk|	VERB
ejpam-6522	387	6	≤	≤	NUM
ejpam-6522	387	7	ωε	ωε	NOUN
ejpam-6522	387	8	.	.	PUNCT
ejpam-6522	388	1	(	(	PUNCT
ejpam-6522	388	2	41	41	NUM
ejpam-6522	388	3	)	)	PUNCT
ejpam-6522	388	4	proof	proof	NOUN
ejpam-6522	388	5	.	.	PUNCT
ejpam-6522	389	1	thanks	thank	NOUN
ejpam-6522	389	2	to	to	ADP
ejpam-6522	389	3	(	(	PUNCT
ejpam-6522	389	4	ii	ii	NOUN
ejpam-6522	389	5	)	)	PUNCT
ejpam-6522	389	6	of	of	ADP
ejpam-6522	389	7	remark	remark	NOUN
ejpam-6522	389	8	1	1	NUM
ejpam-6522	389	9	,	,	PUNCT
ejpam-6522	389	10	dα	dα	PROPN
ejpam-6522	389	11	t	t	PROPN
ejpam-6522	389	12	ν(t	ν(t	NOUN
ejpam-6522	389	13	)	)	PUNCT
ejpam-6522	389	14	=	=	SYM
ejpam-6522	389	15	r(t	r(t	NOUN
ejpam-6522	389	16	,	,	PUNCT
ejpam-6522	389	17	ν(t	ν(t	NOUN
ejpam-6522	389	18	)	)	PUNCT
ejpam-6522	389	19	)	)	PUNCT
ejpam-6522	390	1	+	+	CCONJ
ejpam-6522	390	2	h(t	h(t	NUM
ejpam-6522	390	3	)	)	PUNCT
ejpam-6522	390	4	,	,	PUNCT
ejpam-6522	390	5	and	and	CCONJ
ejpam-6522	390	6	eq	eq	NOUN
ejpam-6522	390	7	.	.	PUNCT
ejpam-6522	391	1	(	(	PUNCT
ejpam-6522	391	2	38	38	NUM
ejpam-6522	391	3	)	)	PUNCT
ejpam-6522	391	4	,	,	PUNCT
ejpam-6522	391	5	gives	give	VERB
ejpam-6522	391	6	ν(t	ν(t	NOUN
ejpam-6522	391	7	)	)	PUNCT
ejpam-6522	391	8	=	=	NOUN
ejpam-6522	391	9	ν0	ν0	NOUN
ejpam-6522	391	10	+	+	CCONJ
ejpam-6522	391	11	1	1	NUM
ejpam-6522	391	12	γ(α	γ(α	NOUN
ejpam-6522	391	13	)	)	PUNCT
ejpam-6522	392	1	∫	∫	PROPN
ejpam-6522	392	2	t	t	PROPN
ejpam-6522	392	3	0	0	NUM
ejpam-6522	392	4	(	(	PUNCT
ejpam-6522	392	5	t−	t−	PROPN
ejpam-6522	392	6	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	392	7	,	,	PUNCT
ejpam-6522	392	8	ν(k))dk	ν(k))dk	NOUN
ejpam-6522	392	9	+	+	CCONJ
ejpam-6522	392	10	1	1	NUM
ejpam-6522	392	11	γ(α	γ(α	NOUN
ejpam-6522	392	12	)	)	PUNCT
ejpam-6522	393	1	∫	∫	PROPN
ejpam-6522	393	2	t	t	PROPN
ejpam-6522	393	3	0	0	NUM
ejpam-6522	394	1	(	(	PUNCT
ejpam-6522	394	2	t−	t−	PROPN
ejpam-6522	394	3	k)α−1h(k)dk	k)α−1h(k)dk	NOUN
ejpam-6522	394	4	.	.	PUNCT
ejpam-6522	395	1	(	(	PUNCT
ejpam-6522	395	2	42	42	X
ejpam-6522	395	3	)	)	PUNCT
ejpam-6522	395	4	using	use	VERB
ejpam-6522	395	5	(	(	PUNCT
ejpam-6522	395	6	i	i	NOUN
ejpam-6522	395	7	)	)	PUNCT
ejpam-6522	395	8	of	of	ADP
ejpam-6522	395	9	remark	remark	NOUN
ejpam-6522	395	10	1	1	NUM
ejpam-6522	395	11	,	,	PUNCT
ejpam-6522	395	12	we	we	PRON
ejpam-6522	395	13	get	get	VERB
ejpam-6522	395	14	|ν(t)−	|ν(t)−	PRON
ejpam-6522	395	15	ν0	ν0	PROPN
ejpam-6522	395	16	−	−	ADP
ejpam-6522	395	17	1	1	NUM
ejpam-6522	395	18	γ(α	γ(α	NOUN
ejpam-6522	395	19	)	)	PUNCT
ejpam-6522	396	1	∫	∫	PROPN
ejpam-6522	396	2	t	t	PROPN
ejpam-6522	396	3	0	0	NUM
ejpam-6522	396	4	(	(	PUNCT
ejpam-6522	396	5	t−	t−	PROPN
ejpam-6522	396	6	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	396	7	,	,	PUNCT
ejpam-6522	396	8	ν(k))dk|	ν(k))dk|	NOUN
ejpam-6522	396	9	⩽	⩽	ADJ
ejpam-6522	396	10	1	1	NUM
ejpam-6522	396	11	γ(α	γ(α	NOUN
ejpam-6522	396	12	)	)	PUNCT
ejpam-6522	397	1	∫	∫	PROPN
ejpam-6522	398	1	t	t	PROPN
ejpam-6522	398	2	0	0	NUM
ejpam-6522	399	1	(	(	PUNCT
ejpam-6522	399	2	t−	t−	PROPN
ejpam-6522	399	3	k)α−1|h(k)|dk	k)α−1|h(k)|dk	X
ejpam-6522	399	4	⩽	⩽	PROPN
ejpam-6522	399	5	ωε	ωε	PROPN
ejpam-6522	399	6	,	,	PUNCT
ejpam-6522	399	7	(	(	PUNCT
ejpam-6522	399	8	43	43	NUM
ejpam-6522	399	9	)	)	PUNCT
ejpam-6522	399	10	where	where	SCONJ
ejpam-6522	399	11	,	,	PUNCT
ejpam-6522	399	12	ω	ω	PROPN
ejpam-6522	399	13	=	=	NOUN
ejpam-6522	399	14	bα	bα	PROPN
ejpam-6522	399	15	γ(α+1	γ(α+1	NOUN
ejpam-6522	399	16	)	)	PUNCT
ejpam-6522	399	17	,	,	PUNCT
ejpam-6522	399	18	t	t	PROPN
ejpam-6522	399	19	∈	∈	PROPN
ejpam-6522	400	1	[	[	X
ejpam-6522	400	2	a	a	X
ejpam-6522	400	3	,	,	PUNCT
ejpam-6522	400	4	b	b	NOUN
ejpam-6522	400	5	]	]	PUNCT
ejpam-6522	400	6	.	.	PUNCT
ejpam-6522	401	1	theorem	theorem	NOUN
ejpam-6522	401	2	5	5	NUM
ejpam-6522	401	3	.	.	PUNCT
ejpam-6522	401	4	suppose	suppose	VERB
ejpam-6522	401	5	that	that	SCONJ
ejpam-6522	401	6	r	r	NOUN
ejpam-6522	401	7	:	:	PUNCT
ejpam-6522	401	8	j	j	PROPN
ejpam-6522	401	9	×r4	×r4	PROPN
ejpam-6522	401	10	→	→	SYM
ejpam-6522	401	11	r	r	NOUN
ejpam-6522	401	12	is	be	AUX
ejpam-6522	401	13	continuous	continuous	ADJ
ejpam-6522	401	14	for	for	ADP
ejpam-6522	401	15	every	every	DET
ejpam-6522	401	16	ν(t	ν(t	NOUN
ejpam-6522	401	17	)	)	PUNCT
ejpam-6522	401	18	∈	∈	PROPN
ejpam-6522	401	19	b	b	NOUN
ejpam-6522	401	20	then	then	ADV
ejpam-6522	401	21	the	the	DET
ejpam-6522	401	22	system	system	NOUN
ejpam-6522	401	23	(	(	PUNCT
ejpam-6522	401	24	37	37	NUM
ejpam-6522	401	25	)	)	PUNCT
ejpam-6522	401	26	which	which	PRON
ejpam-6522	401	27	is	be	AUX
ejpam-6522	401	28	the	the	DET
ejpam-6522	401	29	equivalence	equivalence	NOUN
ejpam-6522	401	30	of	of	ADP
ejpam-6522	401	31	system	system	NOUN
ejpam-6522	401	32	(	(	PUNCT
ejpam-6522	401	33	1	1	X
ejpam-6522	401	34	)	)	PUNCT
ejpam-6522	401	35	is	be	AUX
ejpam-6522	401	36	ulam	ulam	NOUN
ejpam-6522	401	37	-	-	PUNCT
ejpam-6522	401	38	hyers	hyer	NOUN
ejpam-6522	401	39	stable	stable	ADJ
ejpam-6522	401	40	.	.	PUNCT
ejpam-6522	402	1	proof	proof	NOUN
ejpam-6522	402	2	.	.	PUNCT
ejpam-6522	403	1	suppose	suppose	VERB
ejpam-6522	403	2	that	that	SCONJ
ejpam-6522	403	3	ν(t	ν(t	NOUN
ejpam-6522	403	4	)	)	PUNCT
ejpam-6522	403	5	∈	∈	PROPN
ejpam-6522	403	6	b	b	PROPN
ejpam-6522	403	7	holds	hold	VERB
ejpam-6522	403	8	(	(	PUNCT
ejpam-6522	403	9	39	39	NUM
ejpam-6522	403	10	)	)	PUNCT
ejpam-6522	403	11	and	and	CCONJ
ejpam-6522	403	12	ν(t	ν(t	NOUN
ejpam-6522	403	13	)	)	PUNCT
ejpam-6522	403	14	is	be	AUX
ejpam-6522	403	15	a	a	DET
ejpam-6522	403	16	unique	unique	ADJ
ejpam-6522	403	17	solution	solution	NOUN
ejpam-6522	403	18	of	of	ADP
ejpam-6522	403	19	system	system	NOUN
ejpam-6522	403	20	(	(	PUNCT
ejpam-6522	403	21	37	37	NUM
ejpam-6522	403	22	)	)	PUNCT
ejpam-6522	403	23	.	.	PUNCT
ejpam-6522	404	1	therefore	therefore	ADV
ejpam-6522	404	2	,	,	PUNCT
ejpam-6522	404	3	∀ε	∀ε	X
ejpam-6522	404	4	>	>	X
ejpam-6522	404	5	0	0	PROPN
ejpam-6522	404	6	,	,	PUNCT
ejpam-6522	404	7	t	t	PROPN
ejpam-6522	404	8	∈	∈	PROPN
ejpam-6522	404	9	j	j	PROPN
ejpam-6522	404	10	and	and	CCONJ
ejpam-6522	404	11	lemma	lemma	PROPN
ejpam-6522	404	12	2	2	NUM
ejpam-6522	404	13	,	,	PUNCT
ejpam-6522	404	14	it	it	PRON
ejpam-6522	404	15	is	be	AUX
ejpam-6522	404	16	obtained	obtain	VERB
ejpam-6522	404	17	.	.	PUNCT
ejpam-6522	405	1	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	406	1	ν(t)|	ν(t)|	ADJ
ejpam-6522	406	2	≤	≤	PROPN
ejpam-6522	406	3	max	max	PROPN
ejpam-6522	406	4	t∈j	t∈j	PROPN
ejpam-6522	406	5	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	406	6	ν0	ν0	PROPN
ejpam-6522	406	7	−	−	ADP
ejpam-6522	406	8	1	1	NUM
ejpam-6522	406	9	γ(α	γ(α	NOUN
ejpam-6522	406	10	)	)	PUNCT
ejpam-6522	407	1	∫	∫	PROPN
ejpam-6522	407	2	t	t	PROPN
ejpam-6522	407	3	0	0	NUM
ejpam-6522	407	4	(	(	PUNCT
ejpam-6522	407	5	t−	t−	PROPN
ejpam-6522	407	6	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	407	7	,	,	PUNCT
ejpam-6522	407	8	ν(k))dk|	ν(k))dk|	VERB
ejpam-6522	407	9	≤	≤	NUM
ejpam-6522	407	10	max	max	PROPN
ejpam-6522	407	11	t∈j	t∈j	PROPN
ejpam-6522	407	12	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	407	13	ν0	ν0	PROPN
ejpam-6522	407	14	−	−	ADP
ejpam-6522	407	15	1	1	NUM
ejpam-6522	407	16	γ(α	γ(α	NOUN
ejpam-6522	407	17	)	)	PUNCT
ejpam-6522	408	1	∫	∫	PROPN
ejpam-6522	408	2	t	t	PROPN
ejpam-6522	408	3	0	0	NUM
ejpam-6522	408	4	(	(	PUNCT
ejpam-6522	408	5	t−	t−	PROPN
ejpam-6522	408	6	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	408	7	,	,	PUNCT
ejpam-6522	408	8	ν(k))dk|	ν(k))dk|	NOUN
ejpam-6522	408	9	m.	m.	NOUN
ejpam-6522	408	10	yar	yar	PROPN
ejpam-6522	408	11	,	,	PUNCT
ejpam-6522	408	12	s.	s.	PROPN
ejpam-6522	408	13	javeed	javeed	PROPN
ejpam-6522	408	14	,	,	PUNCT
ejpam-6522	408	15	t.	t.	PROPN
ejpam-6522	408	16	abbas	abbas	PROPN
ejpam-6522	408	17	khan	khan	PROPN
ejpam-6522	408	18	/	/	SYM
ejpam-6522	408	19	eur	eur	PROPN
ejpam-6522	408	20	.	.	PUNCT
ejpam-6522	409	1	j.	j.	PROPN
ejpam-6522	409	2	pure	pure	PROPN
ejpam-6522	409	3	appl	appl	PROPN
ejpam-6522	409	4	.	.	PROPN
ejpam-6522	409	5	math	math	PROPN
ejpam-6522	409	6	,	,	PUNCT
ejpam-6522	409	7	18	18	NUM
ejpam-6522	409	8	(	(	PUNCT
ejpam-6522	409	9	3	3	NUM
ejpam-6522	409	10	)	)	PUNCT
ejpam-6522	409	11	(	(	PUNCT
ejpam-6522	409	12	2025	2025	NUM
ejpam-6522	409	13	)	)	PUNCT
ejpam-6522	409	14	,	,	PUNCT
ejpam-6522	409	15	6522	6522	NUM
ejpam-6522	409	16	17	17	NUM
ejpam-6522	409	17	of	of	ADP
ejpam-6522	409	18	23	23	NUM
ejpam-6522	410	1	+	+	NUM
ejpam-6522	410	2	max	max	PROPN
ejpam-6522	410	3	t∈j	t∈j	NOUN
ejpam-6522	410	4	1	1	NUM
ejpam-6522	410	5	γ(α	γ(α	NOUN
ejpam-6522	410	6	)	)	PUNCT
ejpam-6522	410	7	∫	∫	PROPN
ejpam-6522	410	8	t	t	PROPN
ejpam-6522	410	9	0	0	NUM
ejpam-6522	411	1	(	(	PUNCT
ejpam-6522	411	2	t−	t−	PROPN
ejpam-6522	411	3	k)α−1|r(k	k)α−1|r(k	PROPN
ejpam-6522	411	4	,	,	PUNCT
ejpam-6522	411	5	ν(k)−r(k	ν(k)−r(k	PROPN
ejpam-6522	411	6	,	,	PUNCT
ejpam-6522	411	7	ν(k))|dk	ν(k))|dk	NOUN
ejpam-6522	411	8	≤	≤	NUM
ejpam-6522	411	9	|ν(t)−	|ν(t)−	PROPN
ejpam-6522	411	10	ν0	ν0	PROPN
ejpam-6522	411	11	−	−	ADP
ejpam-6522	411	12	1	1	NUM
ejpam-6522	411	13	γ(α	γ(α	NOUN
ejpam-6522	411	14	)	)	PUNCT
ejpam-6522	412	1	∫	∫	PROPN
ejpam-6522	412	2	t	t	PROPN
ejpam-6522	412	3	0	0	NUM
ejpam-6522	412	4	(	(	PUNCT
ejpam-6522	412	5	t−	t−	PROPN
ejpam-6522	412	6	k)α−1r(k	k)α−1r(k	PROPN
ejpam-6522	412	7	,	,	PUNCT
ejpam-6522	412	8	ν(k)dk|	ν(k)dk|	VERB
ejpam-6522	412	9	+	+	CCONJ
ejpam-6522	412	10	[	[	PUNCT
ejpam-6522	412	11	lr	lr	PROPN
ejpam-6522	412	12	γ(α	γ(α	PROPN
ejpam-6522	412	13	)	)	PUNCT
ejpam-6522	412	14	]	]	PUNCT
ejpam-6522	413	1	∫	∫	PROPN
ejpam-6522	413	2	t	t	PROPN
ejpam-6522	413	3	0	0	NUM
ejpam-6522	414	1	(	(	PUNCT
ejpam-6522	414	2	t−	t−	PRON
ejpam-6522	414	3	k)α−1|ν(k)−	k)α−1|ν(k)−	PROPN
ejpam-6522	414	4	ν(k)|dk	ν(k)|dk	VERB
ejpam-6522	414	5	≤	≤	NOUN
ejpam-6522	414	6	ωε+ωlr|ν(k)−	ωε+ωlr|ν(k)−	NUM
ejpam-6522	414	7	ν(k)|	ν(k)|	NOUN
ejpam-6522	414	8	.	.	PUNCT
ejpam-6522	415	1	so	so	ADV
ejpam-6522	415	2	,	,	PUNCT
ejpam-6522	415	3	||ν(t)−	||ν(t)−	PROPN
ejpam-6522	415	4	ν(t)||	ν(t)||	VERB
ejpam-6522	415	5	≤	≤	NUM
ejpam-6522	415	6	xrε	xrε	NOUN
ejpam-6522	415	7	.	.	PUNCT
ejpam-6522	416	1	from	from	ADP
ejpam-6522	416	2	definition	definition	NOUN
ejpam-6522	416	3	3	3	NUM
ejpam-6522	416	4	,	,	PUNCT
ejpam-6522	416	5	the	the	DET
ejpam-6522	416	6	problem	problem	NOUN
ejpam-6522	416	7	(	(	PUNCT
ejpam-6522	416	8	1	1	X
ejpam-6522	416	9	)	)	PUNCT
ejpam-6522	416	10	has	have	VERB
ejpam-6522	416	11	the	the	DET
ejpam-6522	416	12	ulam	ulam	NOUN
ejpam-6522	416	13	-	-	PUNCT
ejpam-6522	416	14	hyers	hyer	NOUN
ejpam-6522	416	15	stability	stability	NOUN
ejpam-6522	416	16	on	on	ADP
ejpam-6522	416	17	t	t	PROPN
ejpam-6522	416	18	∈	∈	PROPN
ejpam-6522	416	19	j	j	PROPN
ejpam-6522	416	20	.	.	PUNCT
ejpam-6522	417	1	7	7	X
ejpam-6522	417	2	.	.	X
ejpam-6522	417	3	seasonal	seasonal	ADJ
ejpam-6522	417	4	effect	effect	NOUN
ejpam-6522	417	5	the	the	DET
ejpam-6522	417	6	environmental	environmental	ADJ
ejpam-6522	417	7	conditions	condition	NOUN
ejpam-6522	417	8	,	,	PUNCT
ejpam-6522	417	9	including	include	VERB
ejpam-6522	417	10	temperature	temperature	NOUN
ejpam-6522	417	11	,	,	PUNCT
ejpam-6522	417	12	humidity	humidity	NOUN
ejpam-6522	417	13	,	,	PUNCT
ejpam-6522	417	14	and	and	CCONJ
ejpam-6522	417	15	rainfall	rainfall	NOUN
ejpam-6522	417	16	,	,	PUNCT
ejpam-6522	417	17	significantly	significantly	ADV
ejpam-6522	417	18	affect	affect	VERB
ejpam-6522	417	19	the	the	DET
ejpam-6522	417	20	mortality	mortality	NOUN
ejpam-6522	417	21	of	of	ADP
ejpam-6522	417	22	adult	adult	NOUN
ejpam-6522	417	23	wi	wi	PROPN
ejpam-6522	417	24	mosquitoes	mosquitoe	VERB
ejpam-6522	418	1	[	[	X
ejpam-6522	418	2	34	34	NUM
ejpam-6522	418	3	]	]	PUNCT
ejpam-6522	418	4	,	,	PUNCT
ejpam-6522	418	5	leading	lead	VERB
ejpam-6522	418	6	to	to	ADP
ejpam-6522	418	7	a	a	DET
ejpam-6522	418	8	sinusoidally	sinusoidally	ADV
ejpam-6522	418	9	forced	force	VERB
ejpam-6522	418	10	death	death	NOUN
ejpam-6522	418	11	rate	rate	NOUN
ejpam-6522	418	12	.	.	PUNCT
ejpam-6522	419	1	cdαqw̄	cdαqw̄	NOUN
ejpam-6522	419	2	=	=	PUNCT
ejpam-6522	420	1	[	[	PUNCT
ejpam-6522	420	2	ϕw̄f	ϕw̄f	X
ejpam-6522	420	3	2	2	NUM
ejpam-6522	420	4	w̄	w̄	NOUN
ejpam-6522	420	5	+	+	CCONJ
ejpam-6522	420	6	ρ1ϕwf	ρ1ϕwf	PROPN
ejpam-6522	420	7	2	2	NUM
ejpam-6522	420	8	w	w	NOUN
ejpam-6522	420	9	+	+	CCONJ
ejpam-6522	420	10	ρ2ϕwfwfw̄	ρ2ϕwfwfw̄	ADJ
ejpam-6522	420	11	fw̄	fw̄	NOUN
ejpam-6522	420	12	+	+	CCONJ
ejpam-6522	420	13	fw	fw	X
ejpam-6522	420	14	]	]	X
ejpam-6522	420	15	(	(	PUNCT
ejpam-6522	420	16	1−	1−	NUM
ejpam-6522	420	17	q	q	PROPN
ejpam-6522	420	18	k	k	PROPN
ejpam-6522	420	19	)	)	PUNCT
ejpam-6522	420	20	−	−	PROPN
ejpam-6522	421	1	(	(	PUNCT
ejpam-6522	421	2	µa	µa	NOUN
ejpam-6522	421	3	+	+	CCONJ
ejpam-6522	421	4	ψ)qw̄	ψ)qw̄	ADJ
ejpam-6522	421	5	,	,	PUNCT
ejpam-6522	421	6	(	(	PUNCT
ejpam-6522	421	7	44	44	NUM
ejpam-6522	421	8	)	)	PUNCT
ejpam-6522	421	9	cdαqw	cdαqw	NOUN
ejpam-6522	421	10	=	=	SYM
ejpam-6522	421	11	[	[	PUNCT
ejpam-6522	421	12	(	(	PUNCT
ejpam-6522	421	13	1−	1−	NUM
ejpam-6522	421	14	ρ1)ϕwf	ρ1)ϕwf	ADJ
ejpam-6522	421	15	2	2	NUM
ejpam-6522	421	16	w	w	NOUN
ejpam-6522	421	17	+	+	CCONJ
ejpam-6522	421	18	(	(	PUNCT
ejpam-6522	421	19	1−	1−	NUM
ejpam-6522	421	20	ρ2)ϕwfwfw̄	ρ2)ϕwfwfw̄	NOUN
ejpam-6522	421	21	fw̄	fw̄	NOUN
ejpam-6522	421	22	+	+	CCONJ
ejpam-6522	421	23	fw	fw	X
ejpam-6522	421	24	]	]	X
ejpam-6522	421	25	(	(	PUNCT
ejpam-6522	421	26	1−	1−	NUM
ejpam-6522	421	27	q	q	PROPN
ejpam-6522	421	28	k	k	PROPN
ejpam-6522	421	29	)	)	PUNCT
ejpam-6522	422	1	−	−	PROPN
ejpam-6522	422	2	(	(	PUNCT
ejpam-6522	422	3	µa	µa	PROPN
ejpam-6522	422	4	+	+	CCONJ
ejpam-6522	422	5	ψ)qw	ψ)qw	PROPN
ejpam-6522	422	6	,	,	PUNCT
ejpam-6522	422	7	(	(	PUNCT
ejpam-6522	422	8	45	45	NUM
ejpam-6522	422	9	)	)	PUNCT
ejpam-6522	422	10	cdαfw̄	cdαfw̄	NOUN
ejpam-6522	422	11	=	=	SYM
ejpam-6522	422	12	ψ	ψ	X
ejpam-6522	422	13	2	2	NUM
ejpam-6522	422	14	qw̄	qw̄	NOUN
ejpam-6522	422	15	+	+	CCONJ
ejpam-6522	422	16	σfw	σfw	NOUN
ejpam-6522	422	17	−	−	NOUN
ejpam-6522	422	18	[	[	PUNCT
ejpam-6522	422	19	µw̄	µw̄	PROPN
ejpam-6522	422	20	(	(	PUNCT
ejpam-6522	422	21	1−	1−	NUM
ejpam-6522	422	22	η	η	PROPN
ejpam-6522	422	23	cos	cos	PROPN
ejpam-6522	422	24	(	(	PUNCT
ejpam-6522	422	25	2π(t+	2π(t+	PROPN
ejpam-6522	422	26	ω	ω	NOUN
ejpam-6522	422	27	)	)	PUNCT
ejpam-6522	422	28	365	365	NUM
ejpam-6522	422	29	)	)	PUNCT
ejpam-6522	422	30	)	)	PUNCT
ejpam-6522	422	31	]	]	PUNCT
ejpam-6522	423	1	fw̄	fw̄	X
ejpam-6522	423	2	,	,	PUNCT
ejpam-6522	423	3	(	(	PUNCT
ejpam-6522	423	4	46	46	NUM
ejpam-6522	423	5	)	)	PUNCT
ejpam-6522	423	6	cdαfw	cdαfw	NOUN
ejpam-6522	423	7	=	=	SYM
ejpam-6522	423	8	ψ	ψ	X
ejpam-6522	423	9	2	2	NUM
ejpam-6522	423	10	qw	qw	NOUN
ejpam-6522	423	11	−	−	PROPN
ejpam-6522	423	12	σfw	σfw	NOUN
ejpam-6522	423	13	−	−	NOUN
ejpam-6522	424	1	[	[	PUNCT
ejpam-6522	424	2	µw	µw	X
ejpam-6522	424	3	(	(	PUNCT
ejpam-6522	424	4	1−	1−	NUM
ejpam-6522	424	5	η	η	PROPN
ejpam-6522	424	6	cos	cos	PROPN
ejpam-6522	424	7	(	(	PUNCT
ejpam-6522	424	8	2π(t+	2π(t+	PROPN
ejpam-6522	424	9	ω	ω	NOUN
ejpam-6522	424	10	)	)	PUNCT
ejpam-6522	424	11	365	365	NUM
ejpam-6522	424	12	)	)	PUNCT
ejpam-6522	424	13	)	)	PUNCT
ejpam-6522	424	14	]	]	PUNCT
ejpam-6522	425	1	fw	fw	ADP
ejpam-6522	425	2	,	,	PUNCT
ejpam-6522	425	3	(	(	PUNCT
ejpam-6522	425	4	47	47	NUM
ejpam-6522	425	5	)	)	PUNCT
ejpam-6522	425	6	here	here	ADV
ejpam-6522	425	7	,	,	PUNCT
ejpam-6522	425	8	η	η	PROPN
ejpam-6522	425	9	represents	represent	VERB
ejpam-6522	425	10	the	the	DET
ejpam-6522	425	11	level	level	NOUN
ejpam-6522	425	12	of	of	ADP
ejpam-6522	425	13	seasonal	seasonal	ADJ
ejpam-6522	425	14	influence	influence	NOUN
ejpam-6522	425	15	on	on	ADP
ejpam-6522	425	16	the	the	DET
ejpam-6522	425	17	adult	adult	NOUN
ejpam-6522	425	18	mortality	mortality	NOUN
ejpam-6522	425	19	rate	rate	NOUN
ejpam-6522	425	20	,	,	PUNCT
ejpam-6522	425	21	µw	µw	PROPN
ejpam-6522	425	22	and	and	CCONJ
ejpam-6522	425	23	µw̄	µw̄	ADV
ejpam-6522	425	24	denote	denote	VERB
ejpam-6522	425	25	the	the	DET
ejpam-6522	425	26	average	average	ADJ
ejpam-6522	425	27	mortality	mortality	NOUN
ejpam-6522	425	28	rates	rate	NOUN
ejpam-6522	425	29	of	of	ADP
ejpam-6522	425	30	adult	adult	NOUN
ejpam-6522	425	31	wi	wi	PROPN
ejpam-6522	425	32	and	and	CCONJ
ejpam-6522	425	33	wu	wu	PROPN
ejpam-6522	425	34	mosquitoes	mosquito	NOUN
ejpam-6522	425	35	,	,	PUNCT
ejpam-6522	425	36	respectively	respectively	ADV
ejpam-6522	425	37	;	;	PUNCT
ejpam-6522	425	38	t	t	PROPN
ejpam-6522	425	39	denotes	denote	NOUN
ejpam-6522	425	40	time	time	NOUN
ejpam-6522	425	41	,	,	PUNCT
ejpam-6522	425	42	and	and	CCONJ
ejpam-6522	425	43	ω	ω	NOUN
ejpam-6522	425	44	indicates	indicate	VERB
ejpam-6522	425	45	phase	phase	NOUN
ejpam-6522	425	46	shift	shift	NOUN
ejpam-6522	425	47	,	,	PUNCT
ejpam-6522	425	48	which	which	PRON
ejpam-6522	425	49	adjusts	adjust	VERB
ejpam-6522	425	50	the	the	DET
ejpam-6522	425	51	seasonal	seasonal	ADJ
ejpam-6522	425	52	phase	phase	NOUN
ejpam-6522	425	53	in	in	ADP
ejpam-6522	425	54	the	the	DET
ejpam-6522	425	55	cosine	cosine	NOUN
ejpam-6522	425	56	function	function	NOUN
ejpam-6522	425	57	.	.	PUNCT
ejpam-6522	426	1	because	because	SCONJ
ejpam-6522	426	2	the	the	DET
ejpam-6522	426	3	mosquito	mosquito	ADJ
ejpam-6522	426	4	population	population	NOUN
ejpam-6522	426	5	is	be	AUX
ejpam-6522	426	6	explicitly	explicitly	ADV
ejpam-6522	426	7	modeled	model	VERB
ejpam-6522	426	8	,	,	PUNCT
ejpam-6522	426	9	it	it	PRON
ejpam-6522	426	10	is	be	AUX
ejpam-6522	426	11	not	not	PART
ejpam-6522	426	12	necessary	necessary	ADJ
ejpam-6522	426	13	to	to	PART
ejpam-6522	426	14	introduce	introduce	VERB
ejpam-6522	426	15	external	external	ADJ
ejpam-6522	426	16	seasonal	seasonal	ADJ
ejpam-6522	426	17	forcing	force	VERB
ejpam-6522	426	18	terms	term	NOUN
ejpam-6522	426	19	.	.	PUNCT
ejpam-6522	427	1	since	since	SCONJ
ejpam-6522	427	2	the	the	DET
ejpam-6522	427	3	mosquito	mosquito	ADJ
ejpam-6522	427	4	population	population	NOUN
ejpam-6522	427	5	size	size	NOUN
ejpam-6522	427	6	is	be	AUX
ejpam-6522	427	7	highly	highly	ADV
ejpam-6522	427	8	sensitive	sensitive	ADJ
ejpam-6522	427	9	to	to	ADP
ejpam-6522	427	10	the	the	DET
ejpam-6522	427	11	death	death	NOUN
ejpam-6522	427	12	rate	rate	NOUN
ejpam-6522	427	13	,	,	PUNCT
ejpam-6522	427	14	this	this	DET
ejpam-6522	427	15	parameter	parameter	NOUN
ejpam-6522	427	16	was	be	AUX
ejpam-6522	427	17	selected	select	VERB
ejpam-6522	427	18	for	for	ADP
ejpam-6522	427	19	seasonal	seasonal	ADJ
ejpam-6522	427	20	forcing	forcing	NOUN
ejpam-6522	427	21	.	.	PUNCT
ejpam-6522	428	1	as	as	ADP
ejpam-6522	428	2	a	a	DET
ejpam-6522	428	3	result	result	NOUN
ejpam-6522	428	4	,	,	PUNCT
ejpam-6522	428	5	the	the	DET
ejpam-6522	428	6	adult	adult	NOUN
ejpam-6522	428	7	mosquito	mosquito	NOUN
ejpam-6522	428	8	population	population	NOUN
ejpam-6522	428	9	fluctuates	fluctuate	VERB
ejpam-6522	428	10	seasonally	seasonally	ADV
ejpam-6522	428	11	as	as	SCONJ
ejpam-6522	428	12	needed	need	VERB
ejpam-6522	428	13	.	.	PUNCT
ejpam-6522	429	1	this	this	PRON
ejpam-6522	429	2	leads	lead	VERB
ejpam-6522	429	3	to	to	ADP
ejpam-6522	429	4	seasonal	seasonal	ADJ
ejpam-6522	429	5	changes	change	NOUN
ejpam-6522	429	6	in	in	ADP
ejpam-6522	429	7	the	the	DET
ejpam-6522	429	8	aquatic	aquatic	ADJ
ejpam-6522	429	9	population	population	NOUN
ejpam-6522	429	10	which	which	PRON
ejpam-6522	429	11	are	be	AUX
ejpam-6522	429	12	appropriate	appropriate	ADJ
ejpam-6522	429	13	since	since	SCONJ
ejpam-6522	429	14	the	the	DET
ejpam-6522	429	15	mating	mating	NOUN
ejpam-6522	429	16	function	function	NOUN
ejpam-6522	429	17	depends	depend	VERB
ejpam-6522	429	18	on	on	ADP
ejpam-6522	429	19	population	population	NOUN
ejpam-6522	429	20	size	size	NOUN
ejpam-6522	429	21	.	.	PUNCT
ejpam-6522	430	1	seasonal	seasonal	ADJ
ejpam-6522	430	2	effects	effect	NOUN
ejpam-6522	430	3	are	be	AUX
ejpam-6522	430	4	shown	show	VERB
ejpam-6522	430	5	in	in	ADP
ejpam-6522	430	6	figures	figure	NOUN
ejpam-6522	430	7	3	3	NUM
ejpam-6522	430	8	and	and	CCONJ
ejpam-6522	430	9	4	4	NUM
ejpam-6522	430	10	.	.	X
ejpam-6522	430	11	m.	m.	PROPN
ejpam-6522	430	12	yar	yar	PROPN
ejpam-6522	430	13	,	,	PUNCT
ejpam-6522	430	14	s.	s.	PROPN
ejpam-6522	430	15	javeed	javeed	PROPN
ejpam-6522	430	16	,	,	PUNCT
ejpam-6522	430	17	t.	t.	PROPN
ejpam-6522	430	18	abbas	abbas	PROPN
ejpam-6522	430	19	khan	khan	PROPN
ejpam-6522	430	20	/	/	SYM
ejpam-6522	430	21	eur	eur	PROPN
ejpam-6522	430	22	.	.	PUNCT
ejpam-6522	431	1	j.	j.	PROPN
ejpam-6522	431	2	pure	pure	PROPN
ejpam-6522	431	3	appl	appl	PROPN
ejpam-6522	431	4	.	.	PROPN
ejpam-6522	431	5	math	math	PROPN
ejpam-6522	431	6	,	,	PUNCT
ejpam-6522	431	7	18	18	NUM
ejpam-6522	431	8	(	(	PUNCT
ejpam-6522	431	9	3	3	NUM
ejpam-6522	431	10	)	)	PUNCT
ejpam-6522	431	11	(	(	PUNCT
ejpam-6522	431	12	2025	2025	NUM
ejpam-6522	431	13	)	)	PUNCT
ejpam-6522	431	14	,	,	PUNCT
ejpam-6522	431	15	6522	6522	NUM
ejpam-6522	431	16	18	18	NUM
ejpam-6522	431	17	of	of	ADP
ejpam-6522	431	18	23	23	NUM
ejpam-6522	431	19	0	0	NUM
ejpam-6522	431	20	100	100	NUM
ejpam-6522	431	21	200	200	NUM
ejpam-6522	431	22	300	300	NUM
ejpam-6522	431	23	400	400	NUM
ejpam-6522	431	24	500	500	NUM
ejpam-6522	431	25	600	600	NUM
ejpam-6522	431	26	700	700	NUM
ejpam-6522	431	27	800	800	NUM
ejpam-6522	431	28	900	900	NUM
ejpam-6522	431	29	1000	1000	NUM
ejpam-6522	431	30	days	day	NOUN
ejpam-6522	431	31	2	2	NUM
ejpam-6522	431	32	3	3	NUM
ejpam-6522	431	33	4	4	NUM
ejpam-6522	431	34	5	5	NUM
ejpam-6522	431	35	6	6	NUM
ejpam-6522	431	36	7	7	NUM
ejpam-6522	431	37	8	8	NUM
ejpam-6522	431	38	105	105	NUM
ejpam-6522	431	39	aquatic	aquatic	ADJ
ejpam-6522	431	40	wu	wu	PROPN
ejpam-6522	431	41	mosquitoes	mosquito	NOUN
ejpam-6522	431	42	for	for	ADP
ejpam-6522	431	43	=	=	NOUN
ejpam-6522	431	44	0	0	SYM
ejpam-6522	431	45	=	=	SYM
ejpam-6522	431	46	0.1	0.1	NUM
ejpam-6522	431	47	=	=	SYM
ejpam-6522	431	48	0.3	0.3	NUM
ejpam-6522	431	49	=	=	SYM
ejpam-6522	431	50	0.5	0.5	NUM
ejpam-6522	431	51	=	=	SYM
ejpam-6522	431	52	0.7	0.7	NUM
ejpam-6522	431	53	=	=	SYM
ejpam-6522	431	54	1	1	NUM
ejpam-6522	431	55	(	(	PUNCT
ejpam-6522	431	56	a	a	NOUN
ejpam-6522	431	57	)	)	PUNCT
ejpam-6522	431	58	0	0	NUM
ejpam-6522	431	59	100	100	NUM
ejpam-6522	431	60	200	200	NUM
ejpam-6522	431	61	300	300	NUM
ejpam-6522	431	62	400	400	NUM
ejpam-6522	431	63	500	500	NUM
ejpam-6522	431	64	600	600	NUM
ejpam-6522	431	65	700	700	NUM
ejpam-6522	431	66	800	800	NUM
ejpam-6522	431	67	900	900	NUM
ejpam-6522	431	68	1000	1000	NUM
ejpam-6522	431	69	days	day	NOUN
ejpam-6522	431	70	2	2	NUM
ejpam-6522	431	71	4	4	NUM
ejpam-6522	431	72	6	6	NUM
ejpam-6522	431	73	8	8	NUM
ejpam-6522	431	74	10	10	NUM
ejpam-6522	431	75	12	12	NUM
ejpam-6522	431	76	14	14	NUM
ejpam-6522	431	77	16	16	NUM
ejpam-6522	431	78	105	105	NUM
ejpam-6522	431	79	aquatic	aquatic	ADJ
ejpam-6522	431	80	wu	wu	PROPN
ejpam-6522	431	81	mosquitoes	mosquito	NOUN
ejpam-6522	431	82	for	for	ADP
ejpam-6522	431	83	=	=	NOUN
ejpam-6522	431	84	0.6228	0.6228	NUM
ejpam-6522	431	85	=	=	SYM
ejpam-6522	431	86	0.1	0.1	NUM
ejpam-6522	431	87	=	=	SYM
ejpam-6522	431	88	0.3	0.3	NUM
ejpam-6522	431	89	=	=	SYM
ejpam-6522	431	90	0.5	0.5	NUM
ejpam-6522	431	91	=	=	SYM
ejpam-6522	431	92	0.7	0.7	NUM
ejpam-6522	431	93	=	=	SYM
ejpam-6522	431	94	1	1	NUM
ejpam-6522	431	95	(	(	PUNCT
ejpam-6522	431	96	b	b	NOUN
ejpam-6522	431	97	)	)	PUNCT
ejpam-6522	431	98	0	0	NUM
ejpam-6522	431	99	100	100	NUM
ejpam-6522	431	100	200	200	NUM
ejpam-6522	431	101	300	300	NUM
ejpam-6522	431	102	400	400	NUM
ejpam-6522	431	103	500	500	NUM
ejpam-6522	431	104	600	600	NUM
ejpam-6522	431	105	700	700	NUM
ejpam-6522	431	106	800	800	NUM
ejpam-6522	431	107	900	900	NUM
ejpam-6522	431	108	1000	1000	NUM
ejpam-6522	431	109	days	day	NOUN
ejpam-6522	431	110	5	5	NUM
ejpam-6522	431	111	6	6	NUM
ejpam-6522	431	112	7	7	NUM
ejpam-6522	431	113	8	8	NUM
ejpam-6522	431	114	9	9	NUM
ejpam-6522	431	115	10	10	NUM
ejpam-6522	431	116	11	11	NUM
ejpam-6522	431	117	12	12	NUM
ejpam-6522	431	118	105	105	NUM
ejpam-6522	431	119	aquatic	aquatic	ADJ
ejpam-6522	431	120	wi	wi	PROPN
ejpam-6522	431	121	mosquitoes	mosquito	NOUN
ejpam-6522	431	122	for	for	ADP
ejpam-6522	431	123	=	=	NOUN
ejpam-6522	431	124	0	0	SYM
ejpam-6522	431	125	=	=	SYM
ejpam-6522	431	126	0.1	0.1	NUM
ejpam-6522	431	127	=	=	SYM
ejpam-6522	431	128	0.3	0.3	NUM
ejpam-6522	431	129	=	=	SYM
ejpam-6522	431	130	0.5	0.5	NUM
ejpam-6522	431	131	=	=	SYM
ejpam-6522	431	132	0.7	0.7	NUM
ejpam-6522	431	133	=	=	SYM
ejpam-6522	431	134	1	1	NUM
ejpam-6522	431	135	(	(	PUNCT
ejpam-6522	431	136	c	c	NOUN
ejpam-6522	431	137	)	)	PUNCT
ejpam-6522	431	138	0	0	NUM
ejpam-6522	431	139	100	100	NUM
ejpam-6522	431	140	200	200	NUM
ejpam-6522	431	141	300	300	NUM
ejpam-6522	431	142	400	400	NUM
ejpam-6522	431	143	500	500	NUM
ejpam-6522	431	144	600	600	NUM
ejpam-6522	431	145	700	700	NUM
ejpam-6522	431	146	800	800	NUM
ejpam-6522	431	147	900	900	NUM
ejpam-6522	431	148	1000	1000	NUM
ejpam-6522	431	149	days	day	NOUN
ejpam-6522	431	150	2	2	NUM
ejpam-6522	431	151	4	4	NUM
ejpam-6522	431	152	6	6	NUM
ejpam-6522	431	153	8	8	NUM
ejpam-6522	431	154	10	10	NUM
ejpam-6522	431	155	12	12	NUM
ejpam-6522	431	156	14	14	NUM
ejpam-6522	431	157	105	105	NUM
ejpam-6522	431	158	aquatic	aquatic	ADJ
ejpam-6522	431	159	wi	wi	PROPN
ejpam-6522	431	160	mosquitoes	mosquito	NOUN
ejpam-6522	431	161	for	for	ADP
ejpam-6522	431	162	=	=	NOUN
ejpam-6522	431	163	0.6228	0.6228	NUM
ejpam-6522	431	164	=	=	SYM
ejpam-6522	431	165	0.1	0.1	NUM
ejpam-6522	431	166	=	=	SYM
ejpam-6522	431	167	0.3	0.3	NUM
ejpam-6522	431	168	=	=	SYM
ejpam-6522	431	169	0.5	0.5	NUM
ejpam-6522	431	170	=	=	SYM
ejpam-6522	431	171	0.7	0.7	NUM
ejpam-6522	431	172	=	=	SYM
ejpam-6522	431	173	1	1	NUM
ejpam-6522	431	174	(	(	PUNCT
ejpam-6522	431	175	d	d	NOUN
ejpam-6522	431	176	)	)	PUNCT
ejpam-6522	431	177	figure	figure	NOUN
ejpam-6522	431	178	3	3	NUM
ejpam-6522	431	179	:	:	PUNCT
ejpam-6522	431	180	comparison	comparison	NOUN
ejpam-6522	431	181	between	between	ADP
ejpam-6522	431	182	wi	wi	PROPN
ejpam-6522	431	183	and	and	CCONJ
ejpam-6522	431	184	wu	wu	PROPN
ejpam-6522	431	185	mosquitoes	mosquito	NOUN
ejpam-6522	431	186	with	with	ADP
ejpam-6522	431	187	and	and	CCONJ
ejpam-6522	431	188	without	without	ADP
ejpam-6522	431	189	seasonal	seasonal	ADJ
ejpam-6522	431	190	effects	effect	NOUN
ejpam-6522	431	191	at	at	ADP
ejpam-6522	431	192	different	different	ADJ
ejpam-6522	431	193	values	value	NOUN
ejpam-6522	431	194	of	of	ADP
ejpam-6522	431	195	α	α	PROPN
ejpam-6522	431	196	.	.	PUNCT
ejpam-6522	431	197	m.	m.	PROPN
ejpam-6522	431	198	yar	yar	PROPN
ejpam-6522	431	199	,	,	PUNCT
ejpam-6522	431	200	s.	s.	PROPN
ejpam-6522	431	201	javeed	javeed	PROPN
ejpam-6522	431	202	,	,	PUNCT
ejpam-6522	431	203	t.	t.	PROPN
ejpam-6522	431	204	abbas	abbas	PROPN
ejpam-6522	431	205	khan	khan	PROPN
ejpam-6522	431	206	/	/	SYM
ejpam-6522	431	207	eur	eur	PROPN
ejpam-6522	431	208	.	.	PUNCT
ejpam-6522	432	1	j.	j.	PROPN
ejpam-6522	432	2	pure	pure	PROPN
ejpam-6522	432	3	appl	appl	PROPN
ejpam-6522	432	4	.	.	PROPN
ejpam-6522	432	5	math	math	PROPN
ejpam-6522	432	6	,	,	PUNCT
ejpam-6522	432	7	18	18	NUM
ejpam-6522	432	8	(	(	PUNCT
ejpam-6522	432	9	3	3	NUM
ejpam-6522	432	10	)	)	PUNCT
ejpam-6522	432	11	(	(	PUNCT
ejpam-6522	432	12	2025	2025	NUM
ejpam-6522	432	13	)	)	PUNCT
ejpam-6522	432	14	,	,	PUNCT
ejpam-6522	432	15	6522	6522	NUM
ejpam-6522	432	16	19	19	NUM
ejpam-6522	432	17	of	of	ADP
ejpam-6522	432	18	23	23	NUM
ejpam-6522	432	19	0	0	NUM
ejpam-6522	432	20	100	100	NUM
ejpam-6522	432	21	200	200	NUM
ejpam-6522	432	22	300	300	NUM
ejpam-6522	432	23	400	400	NUM
ejpam-6522	432	24	500	500	NUM
ejpam-6522	432	25	600	600	NUM
ejpam-6522	432	26	700	700	NUM
ejpam-6522	432	27	800	800	NUM
ejpam-6522	432	28	900	900	NUM
ejpam-6522	432	29	1000	1000	NUM
ejpam-6522	432	30	days	day	NOUN
ejpam-6522	432	31	8.8	8.8	NUM
ejpam-6522	432	32	9	9	NUM
ejpam-6522	432	33	9.2	9.2	NUM
ejpam-6522	432	34	9.4	9.4	NUM
ejpam-6522	432	35	9.6	9.6	NUM
ejpam-6522	432	36	9.8	9.8	NUM
ejpam-6522	432	37	10	10	NUM
ejpam-6522	432	38	105	105	NUM
ejpam-6522	432	39	adult	adult	NOUN
ejpam-6522	432	40	wu	wu	NOUN
ejpam-6522	432	41	mosquitoes	mosquito	NOUN
ejpam-6522	432	42	for	for	ADP
ejpam-6522	432	43	=	=	NOUN
ejpam-6522	432	44	0	0	SYM
ejpam-6522	432	45	=	=	SYM
ejpam-6522	432	46	0.1	0.1	NUM
ejpam-6522	432	47	=	=	SYM
ejpam-6522	432	48	0.3	0.3	NUM
ejpam-6522	432	49	=	=	SYM
ejpam-6522	432	50	0.5	0.5	NUM
ejpam-6522	432	51	=	=	SYM
ejpam-6522	432	52	0.7	0.7	NUM
ejpam-6522	432	53	=	=	SYM
ejpam-6522	432	54	1	1	NUM
ejpam-6522	432	55	(	(	PUNCT
ejpam-6522	432	56	a	a	NOUN
ejpam-6522	432	57	)	)	PUNCT
ejpam-6522	432	58	0	0	NUM
ejpam-6522	432	59	100	100	NUM
ejpam-6522	432	60	200	200	NUM
ejpam-6522	432	61	300	300	NUM
ejpam-6522	432	62	400	400	NUM
ejpam-6522	432	63	500	500	NUM
ejpam-6522	432	64	600	600	NUM
ejpam-6522	432	65	700	700	NUM
ejpam-6522	432	66	800	800	NUM
ejpam-6522	432	67	900	900	NUM
ejpam-6522	432	68	1000	1000	NUM
ejpam-6522	432	69	days	day	NOUN
ejpam-6522	432	70	0	0	NUM
ejpam-6522	432	71	0.5	0.5	NUM
ejpam-6522	432	72	1	1	NUM
ejpam-6522	432	73	1.5	1.5	NUM
ejpam-6522	432	74	2	2	NUM
ejpam-6522	432	75	2.5	2.5	NUM
ejpam-6522	432	76	3	3	NUM
ejpam-6522	432	77	3.5	3.5	NUM
ejpam-6522	432	78	106	106	NUM
ejpam-6522	432	79	adult	adult	NOUN
ejpam-6522	432	80	wu	wu	NOUN
ejpam-6522	432	81	mosquitoes	mosquito	NOUN
ejpam-6522	432	82	for	for	ADP
ejpam-6522	432	83	=	=	NOUN
ejpam-6522	432	84	0.6228	0.6228	NUM
ejpam-6522	432	85	=	=	SYM
ejpam-6522	432	86	0.1	0.1	NUM
ejpam-6522	432	87	=	=	SYM
ejpam-6522	432	88	0.3	0.3	NUM
ejpam-6522	432	89	=	=	SYM
ejpam-6522	432	90	0.5	0.5	NUM
ejpam-6522	432	91	=	=	SYM
ejpam-6522	432	92	0.7	0.7	NUM
ejpam-6522	432	93	=	=	SYM
ejpam-6522	432	94	1	1	NUM
ejpam-6522	432	95	(	(	PUNCT
ejpam-6522	432	96	b	b	NOUN
ejpam-6522	432	97	)	)	PUNCT
ejpam-6522	432	98	0	0	NUM
ejpam-6522	432	99	100	100	NUM
ejpam-6522	432	100	200	200	NUM
ejpam-6522	432	101	300	300	NUM
ejpam-6522	432	102	400	400	NUM
ejpam-6522	432	103	500	500	NUM
ejpam-6522	432	104	600	600	NUM
ejpam-6522	432	105	700	700	NUM
ejpam-6522	432	106	800	800	NUM
ejpam-6522	432	107	900	900	NUM
ejpam-6522	432	108	1000	1000	NUM
ejpam-6522	432	109	days	day	NOUN
ejpam-6522	432	110	5	5	NUM
ejpam-6522	432	111	5.1	5.1	NUM
ejpam-6522	432	112	5.2	5.2	NUM
ejpam-6522	432	113	5.3	5.3	NUM
ejpam-6522	432	114	5.4	5.4	NUM
ejpam-6522	432	115	5.5	5.5	NUM
ejpam-6522	432	116	5.6	5.6	NUM
ejpam-6522	432	117	5.7	5.7	NUM
ejpam-6522	432	118	5.8	5.8	NUM
ejpam-6522	432	119	5.9	5.9	NUM
ejpam-6522	432	120	6	6	NUM
ejpam-6522	432	121	105	105	NUM
ejpam-6522	432	122	adult	adult	NOUN
ejpam-6522	432	123	wi	wi	PROPN
ejpam-6522	432	124	mosquitoes	mosquito	NOUN
ejpam-6522	432	125	for	for	ADP
ejpam-6522	432	126	=	=	NOUN
ejpam-6522	432	127	0	0	SYM
ejpam-6522	432	128	=	=	SYM
ejpam-6522	432	129	0.1	0.1	NUM
ejpam-6522	432	130	=	=	SYM
ejpam-6522	432	131	0.3	0.3	NUM
ejpam-6522	432	132	=	=	SYM
ejpam-6522	432	133	0.5	0.5	NUM
ejpam-6522	432	134	=	=	SYM
ejpam-6522	432	135	0.7	0.7	NUM
ejpam-6522	432	136	=	=	SYM
ejpam-6522	432	137	1	1	NUM
ejpam-6522	432	138	(	(	PUNCT
ejpam-6522	432	139	c	c	NOUN
ejpam-6522	432	140	)	)	PUNCT
ejpam-6522	432	141	0	0	NUM
ejpam-6522	432	142	100	100	NUM
ejpam-6522	432	143	200	200	NUM
ejpam-6522	432	144	300	300	NUM
ejpam-6522	432	145	400	400	NUM
ejpam-6522	432	146	500	500	NUM
ejpam-6522	432	147	600	600	NUM
ejpam-6522	432	148	700	700	NUM
ejpam-6522	432	149	800	800	NUM
ejpam-6522	432	150	900	900	NUM
ejpam-6522	432	151	1000	1000	NUM
ejpam-6522	432	152	days	day	NOUN
ejpam-6522	432	153	1	1	NUM
ejpam-6522	432	154	2	2	NUM
ejpam-6522	432	155	3	3	NUM
ejpam-6522	432	156	4	4	NUM
ejpam-6522	432	157	5	5	NUM
ejpam-6522	432	158	6	6	NUM
ejpam-6522	432	159	7	7	NUM
ejpam-6522	432	160	8	8	NUM
ejpam-6522	432	161	9	9	NUM
ejpam-6522	432	162	105	105	NUM
ejpam-6522	432	163	adult	adult	NOUN
ejpam-6522	432	164	wi	wi	PROPN
ejpam-6522	432	165	mosquitoes	mosquito	NOUN
ejpam-6522	432	166	for	for	ADP
ejpam-6522	432	167	=	=	NOUN
ejpam-6522	432	168	0.6228	0.6228	NUM
ejpam-6522	432	169	=	=	SYM
ejpam-6522	432	170	0.1	0.1	NUM
ejpam-6522	432	171	=	=	SYM
ejpam-6522	432	172	0.3	0.3	NUM
ejpam-6522	432	173	=	=	SYM
ejpam-6522	432	174	0.5	0.5	NUM
ejpam-6522	432	175	=	=	SYM
ejpam-6522	432	176	0.7	0.7	NUM
ejpam-6522	432	177	=	=	SYM
ejpam-6522	432	178	1	1	NUM
ejpam-6522	432	179	(	(	PUNCT
ejpam-6522	432	180	d	d	NOUN
ejpam-6522	432	181	)	)	PUNCT
ejpam-6522	432	182	figure	figure	NOUN
ejpam-6522	432	183	4	4	NUM
ejpam-6522	432	184	:	:	PUNCT
ejpam-6522	432	185	comparison	comparison	NOUN
ejpam-6522	432	186	between	between	ADP
ejpam-6522	432	187	adult	adult	NOUN
ejpam-6522	432	188	wi	wi	PROPN
ejpam-6522	432	189	and	and	CCONJ
ejpam-6522	432	190	wu	wu	PROPN
ejpam-6522	432	191	mosquitoes	mosquito	NOUN
ejpam-6522	432	192	with	with	ADP
ejpam-6522	432	193	and	and	CCONJ
ejpam-6522	432	194	without	without	ADP
ejpam-6522	432	195	seasonal	seasonal	ADJ
ejpam-6522	432	196	effect	effect	NOUN
ejpam-6522	432	197	at	at	ADP
ejpam-6522	432	198	different	different	ADJ
ejpam-6522	432	199	values	value	NOUN
ejpam-6522	432	200	of	of	ADP
ejpam-6522	432	201	α	α	PROPN
ejpam-6522	432	202	.	.	PUNCT
ejpam-6522	433	1	figures	figure	NOUN
ejpam-6522	433	2	3	3	NUM
ejpam-6522	433	3	and	and	CCONJ
ejpam-6522	433	4	4	4	NUM
ejpam-6522	433	5	show	show	VERB
ejpam-6522	433	6	the	the	DET
ejpam-6522	433	7	time	time	NOUN
ejpam-6522	433	8	based	base	VERB
ejpam-6522	433	9	dynamics	dynamic	NOUN
ejpam-6522	433	10	of	of	ADP
ejpam-6522	433	11	aquatic	aquatic	ADJ
ejpam-6522	433	12	-	-	PUNCT
ejpam-6522	433	13	stage	stage	NOUN
ejpam-6522	433	14	and	and	CCONJ
ejpam-6522	433	15	adult	adult	NOUN
ejpam-6522	433	16	-	-	PUNCT
ejpam-6522	433	17	stage	stage	NOUN
ejpam-6522	433	18	mosquitoes	mosquito	NOUN
ejpam-6522	433	19	,	,	PUNCT
ejpam-6522	433	20	both	both	PRON
ejpam-6522	433	21	wi	wi	PROPN
ejpam-6522	433	22	and	and	CCONJ
ejpam-6522	433	23	wu	wu	PROPN
ejpam-6522	433	24	,	,	PUNCT
ejpam-6522	433	25	influenced	influence	VERB
ejpam-6522	433	26	by	by	ADP
ejpam-6522	433	27	seasonally	seasonally	ADV
ejpam-6522	433	28	varying	vary	VERB
ejpam-6522	433	29	parameters	parameter	NOUN
ejpam-6522	433	30	.	.	PUNCT
ejpam-6522	434	1	in	in	ADP
ejpam-6522	434	2	this	this	DET
ejpam-6522	434	3	context	context	NOUN
ejpam-6522	434	4	,	,	PUNCT
ejpam-6522	434	5	η	η	PROPN
ejpam-6522	434	6	denotes	denote	VERB
ejpam-6522	434	7	the	the	DET
ejpam-6522	434	8	impact	impact	NOUN
ejpam-6522	434	9	of	of	ADP
ejpam-6522	434	10	seasonal	seasonal	ADJ
ejpam-6522	434	11	forcing	forcing	NOUN
ejpam-6522	434	12	applied	apply	VERB
ejpam-6522	434	13	on	on	ADP
ejpam-6522	434	14	the	the	DET
ejpam-6522	434	15	adult	adult	NOUN
ejpam-6522	434	16	mortality	mortality	NOUN
ejpam-6522	434	17	rate	rate	NOUN
ejpam-6522	434	18	µw	µw	PROPN
ejpam-6522	434	19	,	,	PUNCT
ejpam-6522	434	20	whereas	whereas	SCONJ
ejpam-6522	434	21	α	α	PRON
ejpam-6522	434	22	indicates	indicate	VERB
ejpam-6522	434	23	the	the	DET
ejpam-6522	434	24	fractional	fractional	ADJ
ejpam-6522	434	25	-	-	PUNCT
ejpam-6522	434	26	order	order	NOUN
ejpam-6522	434	27	derivative	derivative	ADJ
ejpam-6522	434	28	integrating	integrating	NOUN
ejpam-6522	434	29	memory	memory	NOUN
ejpam-6522	434	30	effects	effect	NOUN
ejpam-6522	434	31	inside	inside	ADP
ejpam-6522	434	32	the	the	DET
ejpam-6522	434	33	system	system	NOUN
ejpam-6522	434	34	.	.	PUNCT
ejpam-6522	435	1	as	as	ADP
ejpam-6522	435	2	η	η	PROPN
ejpam-6522	435	3	varies	varie	NOUN
ejpam-6522	435	4	,	,	PUNCT
ejpam-6522	435	5	seasonal	seasonal	ADJ
ejpam-6522	435	6	variations	variation	NOUN
ejpam-6522	435	7	in	in	ADP
ejpam-6522	435	8	mortality	mortality	NOUN
ejpam-6522	435	9	cause	cause	VERB
ejpam-6522	435	10	periodic	periodic	ADJ
ejpam-6522	435	11	changes	change	NOUN
ejpam-6522	435	12	in	in	ADP
ejpam-6522	435	13	mosquito	mosquito	ADJ
ejpam-6522	435	14	population	population	NOUN
ejpam-6522	435	15	levels	level	NOUN
ejpam-6522	435	16	,	,	PUNCT
ejpam-6522	435	17	simulating	simulate	VERB
ejpam-6522	435	18	authentic	authentic	ADJ
ejpam-6522	435	19	environmental	environmental	ADJ
ejpam-6522	435	20	dynamics	dynamic	NOUN
ejpam-6522	435	21	.	.	PUNCT
ejpam-6522	436	1	furthermore	furthermore	ADV
ejpam-6522	436	2	,	,	PUNCT
ejpam-6522	436	3	when	when	SCONJ
ejpam-6522	436	4	α	α	PROPN
ejpam-6522	436	5	decreases	decrease	VERB
ejpam-6522	436	6	,	,	PUNCT
ejpam-6522	436	7	the	the	DET
ejpam-6522	436	8	oscillation	oscillation	NOUN
ejpam-6522	436	9	amplitude	amplitude	NOUN
ejpam-6522	436	10	is	be	AUX
ejpam-6522	436	11	reduced	reduce	VERB
ejpam-6522	436	12	,	,	PUNCT
ejpam-6522	436	13	signifying	signify	VERB
ejpam-6522	436	14	a	a	DET
ejpam-6522	436	15	slower	slow	ADJ
ejpam-6522	436	16	system	system	NOUN
ejpam-6522	436	17	reaction	reaction	NOUN
ejpam-6522	436	18	and	and	CCONJ
ejpam-6522	436	19	enhanced	enhanced	ADJ
ejpam-6522	436	20	memory	memory	NOUN
ejpam-6522	436	21	retention	retention	NOUN
ejpam-6522	436	22	.	.	PUNCT
ejpam-6522	437	1	this	this	DET
ejpam-6522	437	2	combined	combine	VERB
ejpam-6522	437	3	influence	influence	NOUN
ejpam-6522	437	4	of	of	ADP
ejpam-6522	437	5	seasonal	seasonal	ADJ
ejpam-6522	437	6	forcing	forcing	NOUN
ejpam-6522	437	7	and	and	CCONJ
ejpam-6522	437	8	fractional	fractional	ADJ
ejpam-6522	437	9	-	-	PUNCT
ejpam-6522	437	10	order	order	NOUN
ejpam-6522	437	11	dynamics	dynamic	NOUN
ejpam-6522	437	12	suggests	suggest	VERB
ejpam-6522	437	13	that	that	SCONJ
ejpam-6522	437	14	the	the	DET
ejpam-6522	437	15	model	model	NOUN
ejpam-6522	437	16	(	(	PUNCT
ejpam-6522	437	17	44)–(47	44)–(47	NOUN
ejpam-6522	437	18	)	)	PUNCT
ejpam-6522	437	19	effectively	effectively	ADV
ejpam-6522	437	20	captures	capture	VERB
ejpam-6522	437	21	the	the	DET
ejpam-6522	437	22	recurrent	recurrent	ADJ
ejpam-6522	437	23	and	and	CCONJ
ejpam-6522	437	24	long	long	ADJ
ejpam-6522	437	25	-	-	PUNCT
ejpam-6522	437	26	term	term	NOUN
ejpam-6522	437	27	behaviour	behaviour	NOUN
ejpam-6522	437	28	of	of	ADP
ejpam-6522	437	29	mosquito	mosquito	ADJ
ejpam-6522	437	30	populations	population	NOUN
ejpam-6522	437	31	under	under	ADP
ejpam-6522	437	32	realistic	realistic	ADJ
ejpam-6522	437	33	ecological	ecological	ADJ
ejpam-6522	437	34	conditions	condition	NOUN
ejpam-6522	437	35	.	.	PUNCT
ejpam-6522	438	1	m.	m.	PROPN
ejpam-6522	438	2	yar	yar	PROPN
ejpam-6522	438	3	,	,	PUNCT
ejpam-6522	438	4	s.	s.	PROPN
ejpam-6522	438	5	javeed	javeed	PROPN
ejpam-6522	438	6	,	,	PUNCT
ejpam-6522	438	7	t.	t.	PROPN
ejpam-6522	438	8	abbas	abbas	PROPN
ejpam-6522	438	9	khan	khan	PROPN
ejpam-6522	438	10	/	/	SYM
ejpam-6522	438	11	eur	eur	PROPN
ejpam-6522	438	12	.	.	PUNCT
ejpam-6522	439	1	j.	j.	PROPN
ejpam-6522	439	2	pure	pure	PROPN
ejpam-6522	439	3	appl	appl	PROPN
ejpam-6522	439	4	.	.	PROPN
ejpam-6522	439	5	math	math	PROPN
ejpam-6522	439	6	,	,	PUNCT
ejpam-6522	439	7	18	18	NUM
ejpam-6522	439	8	(	(	PUNCT
ejpam-6522	439	9	3	3	NUM
ejpam-6522	439	10	)	)	PUNCT
ejpam-6522	439	11	(	(	PUNCT
ejpam-6522	439	12	2025	2025	NUM
ejpam-6522	439	13	)	)	PUNCT
ejpam-6522	439	14	,	,	PUNCT
ejpam-6522	439	15	6522	6522	NUM
ejpam-6522	439	16	20	20	NUM
ejpam-6522	439	17	of	of	ADP
ejpam-6522	439	18	23	23	NUM
ejpam-6522	439	19	8	8	NUM
ejpam-6522	439	20	.	.	PUNCT
ejpam-6522	440	1	conclusions	conclusion	NOUN
ejpam-6522	440	2	this	this	DET
ejpam-6522	440	3	study	study	NOUN
ejpam-6522	440	4	developed	develop	VERB
ejpam-6522	440	5	and	and	CCONJ
ejpam-6522	440	6	analyzed	analyze	VERB
ejpam-6522	440	7	fractional	fractional	ADJ
ejpam-6522	440	8	-	-	PUNCT
ejpam-6522	440	9	order	order	NOUN
ejpam-6522	440	10	mathematical	mathematical	ADJ
ejpam-6522	440	11	models	model	NOUN
ejpam-6522	440	12	to	to	PART
ejpam-6522	440	13	investigate	investigate	VERB
ejpam-6522	440	14	the	the	DET
ejpam-6522	440	15	introduction	introduction	NOUN
ejpam-6522	440	16	of	of	ADP
ejpam-6522	440	17	wolbachia	wolbachia	NOUN
ejpam-6522	440	18	into	into	ADP
ejpam-6522	440	19	the	the	DET
ejpam-6522	440	20	aedes	aedes	PROPN
ejpam-6522	440	21	aegypti	aegypti	VERB
ejpam-6522	440	22	mosquito	mosquito	ADJ
ejpam-6522	440	23	population	population	NOUN
ejpam-6522	440	24	,	,	PUNCT
ejpam-6522	440	25	including	include	VERB
ejpam-6522	440	26	imperfect	imperfect	ADJ
ejpam-6522	440	27	maternal	maternal	ADJ
ejpam-6522	440	28	transmission	transmission	NOUN
ejpam-6522	440	29	and	and	CCONJ
ejpam-6522	440	30	infection	infection	NOUN
ejpam-6522	440	31	loss	loss	NOUN
ejpam-6522	440	32	.	.	PUNCT
ejpam-6522	441	1	the	the	DET
ejpam-6522	441	2	positivity	positivity	NOUN
ejpam-6522	441	3	and	and	CCONJ
ejpam-6522	441	4	boundedness	boundedness	NOUN
ejpam-6522	441	5	of	of	ADP
ejpam-6522	441	6	the	the	DET
ejpam-6522	441	7	solutions	solution	NOUN
ejpam-6522	441	8	were	be	AUX
ejpam-6522	441	9	demonstrated	demonstrate	VERB
ejpam-6522	441	10	,	,	PUNCT
ejpam-6522	441	11	validating	validate	VERB
ejpam-6522	441	12	the	the	DET
ejpam-6522	441	13	biological	biological	ADJ
ejpam-6522	441	14	feasibility	feasibility	NOUN
ejpam-6522	441	15	of	of	ADP
ejpam-6522	441	16	the	the	DET
ejpam-6522	441	17	system	system	NOUN
ejpam-6522	441	18	.	.	PUNCT
ejpam-6522	442	1	the	the	DET
ejpam-6522	442	2	invasive	invasive	ADJ
ejpam-6522	442	3	reproduction	reproduction	NOUN
ejpam-6522	442	4	number	number	NOUN
ejpam-6522	442	5	r0w|w̄	r0w|w̄	NOUN
ejpam-6522	442	6	was	be	AUX
ejpam-6522	442	7	derived	derive	VERB
ejpam-6522	442	8	to	to	PART
ejpam-6522	442	9	determine	determine	VERB
ejpam-6522	442	10	the	the	DET
ejpam-6522	442	11	conditions	condition	NOUN
ejpam-6522	442	12	for	for	ADP
ejpam-6522	442	13	wolbachia	wolbachia	NOUN
ejpam-6522	442	14	persistence	persistence	NOUN
ejpam-6522	442	15	.	.	PUNCT
ejpam-6522	443	1	if	if	SCONJ
ejpam-6522	443	2	r0w|w̄	r0w|w̄	VERB
ejpam-6522	443	3	<	<	X
ejpam-6522	443	4	1	1	NUM
ejpam-6522	443	5	,	,	PUNCT
ejpam-6522	443	6	the	the	DET
ejpam-6522	443	7	wolbachia	wolbachia	NOUN
ejpam-6522	443	8	infection	infection	NOUN
ejpam-6522	443	9	is	be	AUX
ejpam-6522	443	10	not	not	PART
ejpam-6522	443	11	likely	likely	ADJ
ejpam-6522	443	12	to	to	PART
ejpam-6522	443	13	spread	spread	VERB
ejpam-6522	443	14	and	and	CCONJ
ejpam-6522	443	15	the	the	DET
ejpam-6522	443	16	wi	wi	PROPN
ejpam-6522	443	17	population	population	NOUN
ejpam-6522	443	18	will	will	AUX
ejpam-6522	443	19	eventually	eventually	ADV
ejpam-6522	443	20	die	die	VERB
ejpam-6522	443	21	out	out	ADP
ejpam-6522	443	22	after	after	ADP
ejpam-6522	443	23	introduction	introduction	NOUN
ejpam-6522	443	24	into	into	ADP
ejpam-6522	443	25	the	the	DET
ejpam-6522	443	26	wild	wild	ADJ
ejpam-6522	443	27	mosquito	mosquito	ADJ
ejpam-6522	443	28	population	population	NOUN
ejpam-6522	443	29	.	.	PUNCT
ejpam-6522	444	1	if	if	SCONJ
ejpam-6522	444	2	r0w|w̄	r0w|w̄	PROPN
ejpam-6522	444	3	>	>	X
ejpam-6522	444	4	1	1	NUM
ejpam-6522	444	5	,	,	PUNCT
ejpam-6522	444	6	then	then	ADV
ejpam-6522	444	7	the	the	DET
ejpam-6522	444	8	wi	wi	PROPN
ejpam-6522	444	9	mosquito	mosquito	ADJ
ejpam-6522	444	10	population	population	NOUN
ejpam-6522	444	11	persists	persist	VERB
ejpam-6522	444	12	after	after	ADP
ejpam-6522	444	13	being	be	AUX
ejpam-6522	444	14	introduced	introduce	VERB
ejpam-6522	444	15	into	into	ADP
ejpam-6522	444	16	the	the	DET
ejpam-6522	444	17	wild	wild	ADJ
ejpam-6522	444	18	population	population	NOUN
ejpam-6522	444	19	.	.	PUNCT
ejpam-6522	445	1	the	the	DET
ejpam-6522	445	2	equilibrium	equilibrium	NOUN
ejpam-6522	445	3	points	point	NOUN
ejpam-6522	445	4	were	be	AUX
ejpam-6522	445	5	derived	derive	VERB
ejpam-6522	445	6	,	,	PUNCT
ejpam-6522	445	7	and	and	CCONJ
ejpam-6522	445	8	global	global	ADJ
ejpam-6522	445	9	stability	stability	NOUN
ejpam-6522	445	10	was	be	AUX
ejpam-6522	445	11	analyzed	analyze	VERB
ejpam-6522	445	12	using	use	VERB
ejpam-6522	445	13	volterra	volterra	NOUN
ejpam-6522	445	14	-	-	PUNCT
ejpam-6522	445	15	type	type	NOUN
ejpam-6522	445	16	lyapunov	lyapunov	NOUN
ejpam-6522	445	17	functions	function	NOUN
ejpam-6522	445	18	.	.	PUNCT
ejpam-6522	446	1	in	in	ADP
ejpam-6522	446	2	addition	addition	NOUN
ejpam-6522	446	3	,	,	PUNCT
ejpam-6522	446	4	the	the	DET
ejpam-6522	446	5	proposed	propose	VERB
ejpam-6522	446	6	model	model	NOUN
ejpam-6522	446	7	was	be	AUX
ejpam-6522	446	8	shown	show	VERB
ejpam-6522	446	9	to	to	PART
ejpam-6522	446	10	be	be	AUX
ejpam-6522	446	11	ulam	ulam	NOUN
ejpam-6522	446	12	-	-	PUNCT
ejpam-6522	446	13	hyers	hyer	NOUN
ejpam-6522	446	14	stable	stable	ADJ
ejpam-6522	446	15	,	,	PUNCT
ejpam-6522	446	16	indicating	indicate	VERB
ejpam-6522	446	17	that	that	SCONJ
ejpam-6522	446	18	the	the	DET
ejpam-6522	446	19	approximate	approximate	ADJ
ejpam-6522	446	20	solution	solution	NOUN
ejpam-6522	446	21	remains	remain	VERB
ejpam-6522	446	22	valid	valid	ADJ
ejpam-6522	446	23	under	under	ADP
ejpam-6522	446	24	small	small	ADJ
ejpam-6522	446	25	perturbations	perturbation	NOUN
ejpam-6522	446	26	.	.	PUNCT
ejpam-6522	447	1	the	the	DET
ejpam-6522	447	2	numerical	numerical	ADJ
ejpam-6522	447	3	simulations	simulation	NOUN
ejpam-6522	447	4	,	,	PUNCT
ejpam-6522	447	5	conducted	conduct	VERB
ejpam-6522	447	6	using	use	VERB
ejpam-6522	447	7	the	the	DET
ejpam-6522	447	8	adams	adams	PROPN
ejpam-6522	447	9	-	-	PUNCT
ejpam-6522	447	10	bashforth	bashforth	PROPN
ejpam-6522	447	11	-	-	PUNCT
ejpam-6522	447	12	moulton	moulton	PROPN
ejpam-6522	447	13	approach	approach	NOUN
ejpam-6522	447	14	,	,	PUNCT
ejpam-6522	447	15	further	further	ADJ
ejpam-6522	447	16	aid	aid	NOUN
ejpam-6522	447	17	in	in	ADP
ejpam-6522	447	18	understanding	understand	VERB
ejpam-6522	447	19	the	the	DET
ejpam-6522	447	20	dynamics	dynamic	NOUN
ejpam-6522	447	21	across	across	ADP
ejpam-6522	447	22	different	different	ADJ
ejpam-6522	447	23	fractional	fractional	ADJ
ejpam-6522	447	24	orders	order	NOUN
ejpam-6522	447	25	.	.	PUNCT
ejpam-6522	448	1	the	the	DET
ejpam-6522	448	2	results	result	NOUN
ejpam-6522	448	3	indicate	indicate	VERB
ejpam-6522	448	4	that	that	SCONJ
ejpam-6522	448	5	as	as	SCONJ
ejpam-6522	448	6	the	the	DET
ejpam-6522	448	7	fractional	fractional	ADJ
ejpam-6522	448	8	order	order	NOUN
ejpam-6522	448	9	α	α	NOUN
ejpam-6522	448	10	decreases	decrease	VERB
ejpam-6522	448	11	,	,	PUNCT
ejpam-6522	448	12	the	the	DET
ejpam-6522	448	13	wi	wi	PROPN
ejpam-6522	448	14	mosquito	mosquito	ADJ
ejpam-6522	448	15	population	population	NOUN
ejpam-6522	448	16	increases	increase	NOUN
ejpam-6522	448	17	,	,	PUNCT
ejpam-6522	448	18	while	while	SCONJ
ejpam-6522	448	19	the	the	DET
ejpam-6522	448	20	wu	wu	PROPN
ejpam-6522	448	21	mosquito	mosquito	PROPN
ejpam-6522	448	22	population	population	NOUN
ejpam-6522	448	23	decreases	decrease	VERB
ejpam-6522	448	24	.	.	PUNCT
ejpam-6522	449	1	additionally	additionally	ADV
ejpam-6522	449	2	,	,	PUNCT
ejpam-6522	449	3	the	the	DET
ejpam-6522	449	4	seasonal	seasonal	ADJ
ejpam-6522	449	5	term	term	NOUN
ejpam-6522	449	6	was	be	AUX
ejpam-6522	449	7	included	include	VERB
ejpam-6522	449	8	to	to	PART
ejpam-6522	449	9	study	study	VERB
ejpam-6522	449	10	the	the	DET
ejpam-6522	449	11	seasonal	seasonal	ADJ
ejpam-6522	449	12	effects	effect	NOUN
ejpam-6522	449	13	on	on	ADP
ejpam-6522	449	14	mosquito	mosquito	ADJ
ejpam-6522	449	15	populations	population	NOUN
ejpam-6522	449	16	and	and	CCONJ
ejpam-6522	449	17	observed	observe	VERB
ejpam-6522	449	18	fluctuations	fluctuation	NOUN
ejpam-6522	449	19	in	in	ADP
ejpam-6522	449	20	the	the	DET
ejpam-6522	449	21	curves	curve	NOUN
ejpam-6522	449	22	for	for	ADP
ejpam-6522	449	23	different	different	ADJ
ejpam-6522	449	24	orders	order	NOUN
ejpam-6522	449	25	of	of	ADP
ejpam-6522	449	26	α	α	NOUN
ejpam-6522	449	27	.	.	PUNCT
ejpam-6522	450	1	the	the	DET
ejpam-6522	450	2	study	study	NOUN
ejpam-6522	450	3	suggests	suggest	VERB
ejpam-6522	450	4	that	that	SCONJ
ejpam-6522	450	5	α	α	PRON
ejpam-6522	450	6	=	=	SYM
ejpam-6522	450	7	0.5	0.5	NUM
ejpam-6522	450	8	yields	yield	NOUN
ejpam-6522	450	9	optimal	optimal	ADJ
ejpam-6522	450	10	outcomes	outcome	NOUN
ejpam-6522	450	11	for	for	ADP
ejpam-6522	450	12	increasing	increase	VERB
ejpam-6522	450	13	the	the	DET
ejpam-6522	450	14	wi	wi	PROPN
ejpam-6522	450	15	mosquito	mosquito	PROPN
ejpam-6522	450	16	population	population	NOUN
ejpam-6522	450	17	,	,	PUNCT
ejpam-6522	450	18	and	and	CCONJ
ejpam-6522	450	19	the	the	DET
ejpam-6522	450	20	conditions	condition	NOUN
ejpam-6522	450	21	used	use	VERB
ejpam-6522	450	22	for	for	ADP
ejpam-6522	450	23	α	α	NOUN
ejpam-6522	450	24	=	=	SYM
ejpam-6522	450	25	0.5	0.5	NUM
ejpam-6522	450	26	can	can	AUX
ejpam-6522	450	27	be	be	AUX
ejpam-6522	450	28	applied	apply	VERB
ejpam-6522	450	29	in	in	ADP
ejpam-6522	450	30	real	real	ADJ
ejpam-6522	450	31	-	-	PUNCT
ejpam-6522	450	32	life	life	NOUN
ejpam-6522	450	33	experiments	experiment	NOUN
ejpam-6522	450	34	to	to	PART
ejpam-6522	450	35	increase	increase	VERB
ejpam-6522	450	36	the	the	DET
ejpam-6522	450	37	population	population	NOUN
ejpam-6522	450	38	of	of	ADP
ejpam-6522	450	39	wi	wi	PROPN
ejpam-6522	450	40	mosquitoes	mosquito	NOUN
ejpam-6522	450	41	.	.	PUNCT
ejpam-6522	451	1	this	this	DET
ejpam-6522	451	2	study	study	NOUN
ejpam-6522	451	3	offers	offer	VERB
ejpam-6522	451	4	important	important	ADJ
ejpam-6522	451	5	insights	insight	NOUN
ejpam-6522	451	6	that	that	PRON
ejpam-6522	451	7	may	may	AUX
ejpam-6522	451	8	assist	assist	VERB
ejpam-6522	451	9	in	in	ADP
ejpam-6522	451	10	the	the	DET
ejpam-6522	451	11	examination	examination	NOUN
ejpam-6522	451	12	of	of	ADP
ejpam-6522	451	13	other	other	ADJ
ejpam-6522	451	14	mosquito	mosquito	ADJ
ejpam-6522	451	15	-	-	PUNCT
ejpam-6522	451	16	borne	bear	VERB
ejpam-6522	451	17	diseases	disease	NOUN
ejpam-6522	451	18	,	,	PUNCT
ejpam-6522	451	19	including	include	VERB
ejpam-6522	451	20	yellow	yellow	ADJ
ejpam-6522	451	21	fever	fever	NOUN
ejpam-6522	451	22	,	,	PUNCT
ejpam-6522	451	23	malaria	malaria	NOUN
ejpam-6522	451	24	,	,	PUNCT
ejpam-6522	451	25	zika	zika	X
ejpam-6522	451	26	virus	virus	NOUN
ejpam-6522	451	27	,	,	PUNCT
ejpam-6522	451	28	and	and	CCONJ
ejpam-6522	451	29	west	west	PROPN
ejpam-6522	451	30	nile	nile	PROPN
ejpam-6522	451	31	virus	virus	PROPN
ejpam-6522	451	32	.	.	PUNCT
ejpam-6522	452	1	references	reference	NOUN
ejpam-6522	452	2	[	[	X
ejpam-6522	452	3	1	1	NUM
ejpam-6522	452	4	]	]	PUNCT
ejpam-6522	452	5	r.	r.	PROPN
ejpam-6522	452	6	v.	v.	PROPN
ejpam-6522	452	7	gibbons	gibbon	NOUN
ejpam-6522	452	8	.	.	PUNCT
ejpam-6522	453	1	dengue	dengue	NOUN
ejpam-6522	453	2	:	:	PUNCT
ejpam-6522	453	3	an	an	DET
ejpam-6522	453	4	escalating	escalate	VERB
ejpam-6522	453	5	problem	problem	NOUN
ejpam-6522	453	6	.	.	PUNCT
ejpam-6522	454	1	bmj	bmj	PROPN
ejpam-6522	454	2	,	,	PUNCT
ejpam-6522	454	3	324(7353):1563–1566	324(7353):1563–1566	NUM
ejpam-6522	454	4	,	,	PUNCT
ejpam-6522	454	5	june	june	PROPN
ejpam-6522	454	6	2002	2002	NUM
ejpam-6522	454	7	.	.	PUNCT
ejpam-6522	455	1	[	[	X
ejpam-6522	455	2	2	2	NUM
ejpam-6522	455	3	]	]	PUNCT
ejpam-6522	455	4	m.	m.	PROPN
ejpam-6522	455	5	b.	b.	PROPN
ejpam-6522	455	6	khan	khan	PROPN
ejpam-6522	455	7	et	et	PROPN
ejpam-6522	455	8	al	al	PROPN
ejpam-6522	455	9	.	.	PUNCT
ejpam-6522	456	1	dengue	dengue	NOUN
ejpam-6522	456	2	overview	overview	NOUN
ejpam-6522	456	3	:	:	PUNCT
ejpam-6522	456	4	an	an	DET
ejpam-6522	456	5	updated	update	VERB
ejpam-6522	456	6	systematic	systematic	ADJ
ejpam-6522	456	7	review	review	NOUN
ejpam-6522	456	8	.	.	PUNCT
ejpam-6522	457	1	journal	journal	NOUN
ejpam-6522	457	2	of	of	ADP
ejpam-6522	457	3	infection	infection	NOUN
ejpam-6522	457	4	and	and	CCONJ
ejpam-6522	457	5	public	public	ADJ
ejpam-6522	457	6	health	health	NOUN
ejpam-6522	457	7	,	,	PUNCT
ejpam-6522	457	8	16(10):1625–1642	16(10):1625–1642	NUM
ejpam-6522	457	9	,	,	PUNCT
ejpam-6522	457	10	august	august	PROPN
ejpam-6522	457	11	2023	2023	NUM
ejpam-6522	457	12	.	.	PUNCT
ejpam-6522	458	1	[	[	X
ejpam-6522	458	2	3	3	X
ejpam-6522	458	3	]	]	PUNCT
ejpam-6522	458	4	l.	l.	PROPN
ejpam-6522	458	5	alphey	alphey	PROPN
ejpam-6522	458	6	et	et	PROPN
ejpam-6522	458	7	al	al	PROPN
ejpam-6522	458	8	.	.	PUNCT
ejpam-6522	458	9	sterile	sterile	ADJ
ejpam-6522	458	10	-	-	PUNCT
ejpam-6522	458	11	insect	insect	NOUN
ejpam-6522	458	12	methods	method	NOUN
ejpam-6522	458	13	for	for	ADP
ejpam-6522	458	14	control	control	NOUN
ejpam-6522	458	15	of	of	ADP
ejpam-6522	458	16	mosquito	mosquito	ADJ
ejpam-6522	458	17	-	-	PUNCT
ejpam-6522	458	18	borne	borne	ADJ
ejpam-6522	458	19	diseases	disease	NOUN
ejpam-6522	458	20	:	:	PUNCT
ejpam-6522	458	21	an	an	DET
ejpam-6522	458	22	analysis	analysis	NOUN
ejpam-6522	458	23	.	.	PUNCT
ejpam-6522	459	1	vector	vector	NOUN
ejpam-6522	459	2	-	-	PUNCT
ejpam-6522	459	3	borne	borne	ADJ
ejpam-6522	459	4	and	and	CCONJ
ejpam-6522	459	5	zoonotic	zoonotic	ADJ
ejpam-6522	459	6	diseases	disease	NOUN
ejpam-6522	459	7	,	,	PUNCT
ejpam-6522	459	8	10(3):295–311	10(3):295–311	NUM
ejpam-6522	459	9	,	,	PUNCT
ejpam-6522	459	10	september	september	PROPN
ejpam-6522	459	11	2009	2009	NUM
ejpam-6522	459	12	.	.	PUNCT
ejpam-6522	460	1	[	[	X
ejpam-6522	460	2	4	4	X
ejpam-6522	460	3	]	]	X
ejpam-6522	460	4	j.	j.	PROPN
ejpam-6522	460	5	bouyer	bouyer	PROPN
ejpam-6522	460	6	and	and	CCONJ
ejpam-6522	460	7	t.	t.	PROPN
ejpam-6522	460	8	lefrançois	lefrançois	PROPN
ejpam-6522	460	9	.	.	PUNCT
ejpam-6522	461	1	boosting	boost	VERB
ejpam-6522	461	2	the	the	DET
ejpam-6522	461	3	sterile	sterile	ADJ
ejpam-6522	461	4	insect	insect	NOUN
ejpam-6522	461	5	technique	technique	NOUN
ejpam-6522	461	6	to	to	PART
ejpam-6522	461	7	control	control	VERB
ejpam-6522	461	8	mosquitoes	mosquito	NOUN
ejpam-6522	461	9	.	.	PUNCT
ejpam-6522	462	1	trends	trend	NOUN
ejpam-6522	462	2	in	in	ADP
ejpam-6522	462	3	parasitology	parasitology	NOUN
ejpam-6522	462	4	,	,	PUNCT
ejpam-6522	462	5	30(6):271–273	30(6):271–273	PROPN
ejpam-6522	462	6	,	,	PUNCT
ejpam-6522	462	7	april	april	PROPN
ejpam-6522	462	8	2014	2014	NUM
ejpam-6522	462	9	.	.	PUNCT
ejpam-6522	463	1	[	[	X
ejpam-6522	463	2	5	5	NUM
ejpam-6522	463	3	]	]	PUNCT
ejpam-6522	463	4	world	world	PROPN
ejpam-6522	463	5	health	health	NOUN
ejpam-6522	463	6	organization	organization	NOUN
ejpam-6522	463	7	(	(	PUNCT
ejpam-6522	463	8	who	who	PRON
ejpam-6522	463	9	)	)	PUNCT
ejpam-6522	463	10	.	.	PUNCT
ejpam-6522	464	1	global	global	ADJ
ejpam-6522	464	2	strategy	strategy	NOUN
ejpam-6522	464	3	for	for	ADP
ejpam-6522	464	4	dengue	dengue	NOUN
ejpam-6522	464	5	prevention	prevention	NOUN
ejpam-6522	464	6	and	and	CCONJ
ejpam-6522	464	7	control	control	NOUN
ejpam-6522	464	8	2012	2012	NUM
ejpam-6522	464	9	-	-	SYM
ejpam-6522	464	10	2020	2020	NUM
ejpam-6522	464	11	.	.	PUNCT
ejpam-6522	465	1	geneva	geneva	PROPN
ejpam-6522	465	2	,	,	PUNCT
ejpam-6522	465	3	2012	2012	NUM
ejpam-6522	465	4	.	.	PUNCT
ejpam-6522	466	1	[	[	X
ejpam-6522	466	2	6	6	NUM
ejpam-6522	466	3	]	]	PUNCT
ejpam-6522	466	4	e.-e	e.-e	NOUN
ejpam-6522	466	5	.	.	PUNCT
ejpam-6522	467	1	ooi	ooi	PROPN
ejpam-6522	467	2	,	,	PUNCT
ejpam-6522	467	3	k.-t	k.-t	PROPN
ejpam-6522	467	4	.	.	PUNCT
ejpam-6522	468	1	goh	goh	PROPN
ejpam-6522	468	2	,	,	PUNCT
ejpam-6522	468	3	and	and	CCONJ
ejpam-6522	468	4	d.	d.	PROPN
ejpam-6522	468	5	j.	j.	PROPN
ejpam-6522	468	6	gubler	gubler	PROPN
ejpam-6522	468	7	.	.	PUNCT
ejpam-6522	469	1	dengue	dengue	NOUN
ejpam-6522	469	2	prevention	prevention	PROPN
ejpam-6522	469	3	and	and	CCONJ
ejpam-6522	469	4	35	35	NUM
ejpam-6522	469	5	years	year	NOUN
ejpam-6522	469	6	of	of	ADP
ejpam-6522	469	7	vector	vector	NOUN
ejpam-6522	469	8	control	control	NOUN
ejpam-6522	469	9	in	in	ADP
ejpam-6522	469	10	singapore	singapore	PROPN
ejpam-6522	469	11	.	.	PUNCT
ejpam-6522	470	1	emerging	emerge	VERB
ejpam-6522	470	2	infectious	infectious	ADJ
ejpam-6522	470	3	diseases	disease	NOUN
ejpam-6522	470	4	,	,	PUNCT
ejpam-6522	470	5	12(6):887–893	12(6):887–893	PROPN
ejpam-6522	470	6	,	,	PUNCT
ejpam-6522	470	7	june	june	PROPN
ejpam-6522	470	8	2006	2006	NUM
ejpam-6522	470	9	.	.	PUNCT
ejpam-6522	471	1	[	[	X
ejpam-6522	471	2	7	7	X
ejpam-6522	471	3	]	]	PUNCT
ejpam-6522	471	4	a.	a.	NOUN
ejpam-6522	471	5	a.	a.	PROPN
ejpam-6522	471	6	hoffmann	hoffmann	PROPN
ejpam-6522	471	7	et	et	PROPN
ejpam-6522	471	8	al	al	PROPN
ejpam-6522	471	9	.	.	PROPN
ejpam-6522	472	1	successful	successful	ADJ
ejpam-6522	472	2	establishment	establishment	NOUN
ejpam-6522	472	3	of	of	ADP
ejpam-6522	472	4	wolbachia	wolbachia	NOUN
ejpam-6522	472	5	in	in	ADP
ejpam-6522	472	6	aedes	aedes	PROPN
ejpam-6522	472	7	populations	population	NOUN
ejpam-6522	472	8	to	to	PART
ejpam-6522	472	9	suppress	suppress	VERB
ejpam-6522	472	10	dengue	dengue	NOUN
ejpam-6522	472	11	transmission	transmission	NOUN
ejpam-6522	472	12	.	.	PUNCT
ejpam-6522	473	1	nature	nature	NOUN
ejpam-6522	473	2	,	,	PUNCT
ejpam-6522	473	3	476(7361):454–457	476(7361):454–457	NUM
ejpam-6522	473	4	,	,	PUNCT
ejpam-6522	473	5	august	august	PROPN
ejpam-6522	473	6	2011	2011	NUM
ejpam-6522	473	7	.	.	PUNCT
ejpam-6522	474	1	[	[	X
ejpam-6522	474	2	8	8	NUM
ejpam-6522	474	3	]	]	X
ejpam-6522	474	4	h.	h.	PROPN
ejpam-6522	474	5	l.	l.	PROPN
ejpam-6522	474	6	c.	c.	PROPN
ejpam-6522	474	7	dutra	dutra	PROPN
ejpam-6522	474	8	et	et	PROPN
ejpam-6522	474	9	al	al	PROPN
ejpam-6522	474	10	.	.	PROPN
ejpam-6522	474	11	wolbachia	wolbachia	PROPN
ejpam-6522	474	12	blocks	block	NOUN
ejpam-6522	474	13	currently	currently	ADV
ejpam-6522	474	14	circulating	circulate	VERB
ejpam-6522	474	15	zika	zika	X
ejpam-6522	474	16	virus	virus	NOUN
ejpam-6522	474	17	isolates	isolate	NOUN
ejpam-6522	474	18	in	in	ADP
ejpam-6522	474	19	brazilian	brazilian	ADJ
ejpam-6522	474	20	aedes	aedes	PROPN
ejpam-6522	474	21	aegypti	aegypti	VERB
ejpam-6522	474	22	mosquitoes	mosquito	NOUN
ejpam-6522	474	23	.	.	PUNCT
ejpam-6522	475	1	cell	cell	NOUN
ejpam-6522	475	2	host	host	NOUN
ejpam-6522	475	3	and	and	CCONJ
ejpam-6522	475	4	microbe	microbe	NOUN
ejpam-6522	475	5	,	,	PUNCT
ejpam-6522	475	6	19(6):771–774	19(6):771–774	NUM
ejpam-6522	475	7	,	,	PUNCT
ejpam-6522	475	8	may	may	AUX
ejpam-6522	475	9	2016	2016	NUM
ejpam-6522	475	10	.	.	PUNCT
ejpam-6522	476	1	[	[	X
ejpam-6522	476	2	9	9	NUM
ejpam-6522	476	3	]	]	PUNCT
ejpam-6522	476	4	l.	l.	PROPN
ejpam-6522	476	5	a.	a.	PROPN
ejpam-6522	476	6	moreira	moreira	PROPN
ejpam-6522	476	7	et	et	PROPN
ejpam-6522	476	8	al	al	PROPN
ejpam-6522	476	9	.	.	PUNCT
ejpam-6522	477	1	a	a	DET
ejpam-6522	477	2	wolbachia	wolbachia	NOUN
ejpam-6522	477	3	symbiont	symbiont	NOUN
ejpam-6522	477	4	in	in	ADP
ejpam-6522	477	5	aedes	aedes	PROPN
ejpam-6522	477	6	aegypti	aegypti	VERB
ejpam-6522	477	7	limits	limit	NOUN
ejpam-6522	477	8	infection	infection	NOUN
ejpam-6522	477	9	with	with	ADP
ejpam-6522	477	10	dengue	dengue	NOUN
ejpam-6522	477	11	,	,	PUNCT
ejpam-6522	477	12	chikungunya	chikungunya	NOUN
ejpam-6522	477	13	,	,	PUNCT
ejpam-6522	477	14	and	and	CCONJ
ejpam-6522	477	15	plasmodium	plasmodium	NOUN
ejpam-6522	477	16	.	.	PUNCT
ejpam-6522	478	1	cell	cell	NOUN
ejpam-6522	478	2	,	,	PUNCT
ejpam-6522	478	3	139(7):1268–1278	139(7):1268–1278	NUM
ejpam-6522	478	4	,	,	PUNCT
ejpam-6522	478	5	december	december	PROPN
ejpam-6522	478	6	2009	2009	NUM
ejpam-6522	478	7	.	.	PUNCT
ejpam-6522	479	1	[	[	X
ejpam-6522	479	2	10	10	NUM
ejpam-6522	479	3	]	]	PUNCT
ejpam-6522	479	4	a.	a.	NOUN
ejpam-6522	479	5	p.	p.	PROPN
ejpam-6522	479	6	turley	turley	PROPN
ejpam-6522	479	7	,	,	PUNCT
ejpam-6522	479	8	l.	l.	PROPN
ejpam-6522	479	9	a.	a.	PROPN
ejpam-6522	479	10	moreira	moreira	PROPN
ejpam-6522	479	11	,	,	PUNCT
ejpam-6522	479	12	s.	s.	PROPN
ejpam-6522	479	13	l.	l.	PROPN
ejpam-6522	479	14	o’neill	o’neill	PROPN
ejpam-6522	479	15	,	,	PUNCT
ejpam-6522	479	16	and	and	CCONJ
ejpam-6522	479	17	e.	e.	PROPN
ejpam-6522	479	18	a.	a.	PROPN
ejpam-6522	479	19	mcgraw	mcgraw	PROPN
ejpam-6522	479	20	.	.	PUNCT
ejpam-6522	479	21	wolbachia	wolbachia	PROPN
ejpam-6522	479	22	infection	infection	NOUN
ejpam-6522	479	23	reduces	reduce	VERB
ejpam-6522	479	24	blood	blood	NOUN
ejpam-6522	479	25	-	-	PUNCT
ejpam-6522	479	26	feeding	feed	VERB
ejpam-6522	479	27	success	success	NOUN
ejpam-6522	479	28	in	in	ADP
ejpam-6522	479	29	the	the	DET
ejpam-6522	479	30	dengue	dengue	NOUN
ejpam-6522	479	31	fever	fever	NOUN
ejpam-6522	479	32	mosquito	mosquito	NOUN
ejpam-6522	479	33	,	,	PUNCT
ejpam-6522	479	34	aedes	aedes	PROPN
ejpam-6522	479	35	aegypti	aegypti	PROPN
ejpam-6522	479	36	.	.	PUNCT
ejpam-6522	480	1	plos	plos	PROPN
ejpam-6522	480	2	neglected	neglect	VERB
ejpam-6522	480	3	m.	m.	PROPN
ejpam-6522	480	4	yar	yar	PROPN
ejpam-6522	480	5	,	,	PUNCT
ejpam-6522	480	6	s.	s.	PROPN
ejpam-6522	480	7	javeed	javeed	PROPN
ejpam-6522	480	8	,	,	PUNCT
ejpam-6522	480	9	t.	t.	PROPN
ejpam-6522	480	10	abbas	abbas	PROPN
ejpam-6522	480	11	khan	khan	PROPN
ejpam-6522	480	12	/	/	SYM
ejpam-6522	480	13	eur	eur	PROPN
ejpam-6522	480	14	.	.	PUNCT
ejpam-6522	481	1	j.	j.	PROPN
ejpam-6522	481	2	pure	pure	PROPN
ejpam-6522	481	3	appl	appl	PROPN
ejpam-6522	481	4	.	.	PROPN
ejpam-6522	481	5	math	math	PROPN
ejpam-6522	481	6	,	,	PUNCT
ejpam-6522	481	7	18	18	NUM
ejpam-6522	481	8	(	(	PUNCT
ejpam-6522	481	9	3	3	NUM
ejpam-6522	481	10	)	)	PUNCT
ejpam-6522	481	11	(	(	PUNCT
ejpam-6522	481	12	2025	2025	NUM
ejpam-6522	481	13	)	)	PUNCT
ejpam-6522	481	14	,	,	PUNCT
ejpam-6522	481	15	6522	6522	NUM
ejpam-6522	481	16	21	21	NUM
ejpam-6522	481	17	of	of	ADP
ejpam-6522	481	18	23	23	NUM
ejpam-6522	481	19	tropical	tropical	ADJ
ejpam-6522	481	20	diseases	disease	NOUN
ejpam-6522	481	21	,	,	PUNCT
ejpam-6522	481	22	3(9):e516	3(9):e516	NUM
ejpam-6522	481	23	,	,	PUNCT
ejpam-6522	481	24	september	september	PROPN
ejpam-6522	481	25	2009	2009	NUM
ejpam-6522	481	26	.	.	PUNCT
ejpam-6522	482	1	[	[	X
ejpam-6522	482	2	11	11	NUM
ejpam-6522	482	3	]	]	PUNCT
ejpam-6522	482	4	t.	t.	PROPN
ejpam-6522	482	5	h.	h.	PROPN
ejpam-6522	482	6	ant	ant	PROPN
ejpam-6522	482	7	,	,	PUNCT
ejpam-6522	482	8	c.	c.	PROPN
ejpam-6522	482	9	s.	s.	PROPN
ejpam-6522	482	10	herd	herd	PROPN
ejpam-6522	482	11	,	,	PUNCT
ejpam-6522	482	12	v.	v.	ADP
ejpam-6522	482	13	geoghegan	geoghegan	NOUN
ejpam-6522	482	14	,	,	PUNCT
ejpam-6522	482	15	a.	a.	NOUN
ejpam-6522	482	16	a.	a.	PROPN
ejpam-6522	482	17	hoffmann	hoffmann	PROPN
ejpam-6522	482	18	,	,	PUNCT
ejpam-6522	482	19	and	and	CCONJ
ejpam-6522	482	20	s.	s.	PROPN
ejpam-6522	482	21	p.	p.	PROPN
ejpam-6522	482	22	sinkins	sinkin	VERB
ejpam-6522	482	23	.	.	PUNCT
ejpam-6522	483	1	the	the	DET
ejpam-6522	483	2	wolbachia	wolbachia	NOUN
ejpam-6522	483	3	strain	strain	NOUN
ejpam-6522	483	4	wau	wau	PROPN
ejpam-6522	483	5	provides	provide	VERB
ejpam-6522	483	6	highly	highly	ADV
ejpam-6522	483	7	efficient	efficient	ADJ
ejpam-6522	483	8	virus	virus	NOUN
ejpam-6522	483	9	transmission	transmission	NOUN
ejpam-6522	483	10	blocking	blocking	NOUN
ejpam-6522	483	11	in	in	ADP
ejpam-6522	483	12	aedes	aedes	PROPN
ejpam-6522	483	13	aegypti	aegypti	PROPN
ejpam-6522	483	14	.	.	PUNCT
ejpam-6522	484	1	plos	plos	PROPN
ejpam-6522	484	2	pathogens	pathogens	PROPN
ejpam-6522	484	3	,	,	PUNCT
ejpam-6522	484	4	14(1):e1006815	14(1):e1006815	NUM
ejpam-6522	484	5	,	,	PUNCT
ejpam-6522	484	6	january	january	PROPN
ejpam-6522	484	7	2018	2018	NUM
ejpam-6522	484	8	.	.	PUNCT
ejpam-6522	485	1	[	[	X
ejpam-6522	485	2	12	12	NUM
ejpam-6522	485	3	]	]	PUNCT
ejpam-6522	485	4	t.	t.	PROPN
ejpam-6522	485	5	walker	walker	PROPN
ejpam-6522	485	6	et	et	PROPN
ejpam-6522	485	7	al	al	PROPN
ejpam-6522	485	8	.	.	PUNCT
ejpam-6522	486	1	the	the	DET
ejpam-6522	486	2	wmel	wmel	PROPN
ejpam-6522	486	3	wolbachia	wolbachia	NOUN
ejpam-6522	486	4	strain	strain	VERB
ejpam-6522	486	5	blocks	block	NOUN
ejpam-6522	486	6	dengue	dengue	NOUN
ejpam-6522	486	7	and	and	CCONJ
ejpam-6522	486	8	invades	invade	VERB
ejpam-6522	486	9	caged	cage	VERB
ejpam-6522	486	10	aedes	aedes	PROPN
ejpam-6522	486	11	aegypti	aegypti	VERB
ejpam-6522	486	12	populations	population	NOUN
ejpam-6522	486	13	.	.	PUNCT
ejpam-6522	487	1	nature	nature	NOUN
ejpam-6522	487	2	,	,	PUNCT
ejpam-6522	487	3	476(7361):450–453	476(7361):450–453	NUM
ejpam-6522	487	4	,	,	PUNCT
ejpam-6522	487	5	august	august	PROPN
ejpam-6522	487	6	2011	2011	NUM
ejpam-6522	487	7	.	.	PUNCT
ejpam-6522	488	1	[	[	X
ejpam-6522	488	2	13	13	NUM
ejpam-6522	488	3	]	]	PUNCT
ejpam-6522	488	4	p.	p.	NOUN
ejpam-6522	488	5	a.	a.	PROPN
ejpam-6522	488	6	ross	ross	PROPN
ejpam-6522	488	7	,	,	PUNCT
ejpam-6522	488	8	s.	s.	PROPN
ejpam-6522	488	9	a.	a.	PROPN
ejpam-6522	488	10	ritchie	ritchie	PROPN
ejpam-6522	488	11	,	,	PUNCT
ejpam-6522	488	12	j.	j.	PROPN
ejpam-6522	488	13	k.	k.	PROPN
ejpam-6522	488	14	axford	axford	PROPN
ejpam-6522	488	15	,	,	PUNCT
ejpam-6522	488	16	and	and	CCONJ
ejpam-6522	488	17	a.	a.	NOUN
ejpam-6522	488	18	a.	a.	PROPN
ejpam-6522	488	19	hoffmann	hoffmann	PROPN
ejpam-6522	488	20	.	.	PUNCT
ejpam-6522	489	1	loss	loss	NOUN
ejpam-6522	489	2	of	of	ADP
ejpam-6522	489	3	cytoplasmic	cytoplasmic	ADJ
ejpam-6522	489	4	incompatibility	incompatibility	NOUN
ejpam-6522	489	5	in	in	ADP
ejpam-6522	489	6	wolbachia	wolbachia	NOUN
ejpam-6522	489	7	-	-	PUNCT
ejpam-6522	489	8	infected	infected	ADJ
ejpam-6522	489	9	aedes	aedes	PROPN
ejpam-6522	489	10	aegypti	aegypti	VERB
ejpam-6522	489	11	under	under	ADP
ejpam-6522	489	12	field	field	NOUN
ejpam-6522	489	13	conditions	condition	NOUN
ejpam-6522	489	14	.	.	PUNCT
ejpam-6522	490	1	plos	plos	PROPN
ejpam-6522	490	2	neglected	neglect	VERB
ejpam-6522	490	3	tropical	tropical	ADJ
ejpam-6522	490	4	diseases	disease	NOUN
ejpam-6522	490	5	,	,	PUNCT
ejpam-6522	490	6	13(4):e0007357	13(4):e0007357	NUM
ejpam-6522	490	7	,	,	PUNCT
ejpam-6522	490	8	april	april	PROPN
ejpam-6522	490	9	2019	2019	NUM
ejpam-6522	490	10	.	.	PUNCT
ejpam-6522	491	1	[	[	X
ejpam-6522	491	2	14	14	NUM
ejpam-6522	491	3	]	]	PUNCT
ejpam-6522	491	4	m.	m.	NOUN
ejpam-6522	491	5	turelli	turelli	NOUN
ejpam-6522	491	6	.	.	PUNCT
ejpam-6522	492	1	cytoplasmic	cytoplasmic	ADJ
ejpam-6522	492	2	incompatibility	incompatibility	NOUN
ejpam-6522	492	3	in	in	ADP
ejpam-6522	492	4	populations	population	NOUN
ejpam-6522	492	5	with	with	ADP
ejpam-6522	492	6	overlapping	overlap	VERB
ejpam-6522	492	7	generations	generation	NOUN
ejpam-6522	492	8	.	.	PUNCT
ejpam-6522	493	1	evolution	evolution	NOUN
ejpam-6522	493	2	,	,	PUNCT
ejpam-6522	493	3	64(1):232–241	64(1):232–241	PROPN
ejpam-6522	493	4	,	,	PUNCT
ejpam-6522	493	5	august	august	PROPN
ejpam-6522	493	6	2009	2009	NUM
ejpam-6522	493	7	.	.	PUNCT
ejpam-6522	494	1	[	[	X
ejpam-6522	494	2	15	15	NUM
ejpam-6522	494	3	]	]	X
ejpam-6522	494	4	d.	d.	PROPN
ejpam-6522	494	5	e.	e.	PROPN
ejpam-6522	494	6	campo	campo	PROPN
ejpam-6522	494	7	-	-	PUNCT
ejpam-6522	494	8	duarte	duarte	PROPN
ejpam-6522	494	9	,	,	PUNCT
ejpam-6522	494	10	o.	o.	PROPN
ejpam-6522	494	11	vasilieva	vasilieva	PROPN
ejpam-6522	494	12	,	,	PUNCT
ejpam-6522	494	13	d.	d.	PROPN
ejpam-6522	494	14	cardona	cardona	PROPN
ejpam-6522	494	15	-	-	PUNCT
ejpam-6522	494	16	salgado	salgado	PROPN
ejpam-6522	494	17	,	,	PUNCT
ejpam-6522	494	18	and	and	CCONJ
ejpam-6522	494	19	m.	m.	NOUN
ejpam-6522	494	20	svinin	svinin	PROPN
ejpam-6522	494	21	.	.	PUNCT
ejpam-6522	495	1	optimal	optimal	ADJ
ejpam-6522	495	2	control	control	NOUN
ejpam-6522	495	3	approach	approach	NOUN
ejpam-6522	495	4	for	for	ADP
ejpam-6522	495	5	establishing	establish	VERB
ejpam-6522	495	6	wmelpop	wmelpop	NOUN
ejpam-6522	495	7	wolbachia	wolbachia	NOUN
ejpam-6522	495	8	infection	infection	NOUN
ejpam-6522	495	9	among	among	ADP
ejpam-6522	495	10	wild	wild	ADJ
ejpam-6522	495	11	aedes	aedes	PROPN
ejpam-6522	495	12	aegypti	aegypti	VERB
ejpam-6522	495	13	populations	population	NOUN
ejpam-6522	495	14	.	.	PUNCT
ejpam-6522	496	1	journal	journal	PROPN
ejpam-6522	496	2	of	of	ADP
ejpam-6522	496	3	mathematical	mathematical	ADJ
ejpam-6522	496	4	biology	biology	NOUN
ejpam-6522	496	5	,	,	PUNCT
ejpam-6522	496	6	76(7):1907–1950	76(7):1907–1950	NUM
ejpam-6522	496	7	,	,	PUNCT
ejpam-6522	496	8	february	february	PROPN
ejpam-6522	496	9	2018	2018	NUM
ejpam-6522	496	10	.	.	PUNCT
ejpam-6522	497	1	[	[	X
ejpam-6522	497	2	16	16	NUM
ejpam-6522	497	3	]	]	X
ejpam-6522	497	4	p.	p.	PROPN
ejpam-6522	497	5	saha	saha	PROPN
ejpam-6522	497	6	,	,	PUNCT
ejpam-6522	497	7	g.	g.	PROPN
ejpam-6522	497	8	c.	c.	PROPN
ejpam-6522	497	9	sikdar	sikdar	PROPN
ejpam-6522	497	10	,	,	PUNCT
ejpam-6522	497	11	j.	j.	PROPN
ejpam-6522	497	12	k.	k.	PROPN
ejpam-6522	497	13	ghosh	ghosh	PROPN
ejpam-6522	497	14	,	,	PUNCT
ejpam-6522	497	15	and	and	CCONJ
ejpam-6522	497	16	u.	u.	PROPN
ejpam-6522	497	17	ghosh	ghosh	PROPN
ejpam-6522	497	18	.	.	PUNCT
ejpam-6522	498	1	disease	disease	NOUN
ejpam-6522	498	2	dynamics	dynamic	NOUN
ejpam-6522	498	3	and	and	CCONJ
ejpam-6522	498	4	optimal	optimal	ADJ
ejpam-6522	498	5	control	control	NOUN
ejpam-6522	498	6	strategies	strategy	NOUN
ejpam-6522	498	7	of	of	ADP
ejpam-6522	498	8	a	a	DET
ejpam-6522	498	9	two	two	NUM
ejpam-6522	498	10	-	-	PUNCT
ejpam-6522	498	11	serotypes	serotype	NOUN
ejpam-6522	498	12	dengue	dengue	NOUN
ejpam-6522	498	13	model	model	NOUN
ejpam-6522	498	14	with	with	ADP
ejpam-6522	498	15	co	co	NOUN
ejpam-6522	498	16	-	-	NOUN
ejpam-6522	498	17	infection	infection	NOUN
ejpam-6522	498	18	.	.	PUNCT
ejpam-6522	499	1	mathematics	mathematic	NOUN
ejpam-6522	499	2	and	and	CCONJ
ejpam-6522	499	3	computers	computer	NOUN
ejpam-6522	499	4	in	in	ADP
ejpam-6522	499	5	simulation	simulation	NOUN
ejpam-6522	499	6	,	,	PUNCT
ejpam-6522	499	7	209:16–43	209:16–43	NUM
ejpam-6522	499	8	,	,	PUNCT
ejpam-6522	499	9	february	february	PROPN
ejpam-6522	499	10	2023	2023	NUM
ejpam-6522	499	11	.	.	PUNCT
ejpam-6522	500	1	[	[	X
ejpam-6522	500	2	17	17	NUM
ejpam-6522	500	3	]	]	PUNCT
ejpam-6522	500	4	m.	m.	NOUN
ejpam-6522	500	5	rafikov	rafikov	NOUN
ejpam-6522	500	6	,	,	PUNCT
ejpam-6522	500	7	m.	m.	PROPN
ejpam-6522	500	8	e.	e.	PROPN
ejpam-6522	500	9	m.	m.	PROPN
ejpam-6522	500	10	meza	meza	PROPN
ejpam-6522	500	11	,	,	PUNCT
ejpam-6522	500	12	d.	d.	PROPN
ejpam-6522	500	13	p.	p.	PROPN
ejpam-6522	500	14	f.	f.	PROPN
ejpam-6522	500	15	correa	correa	PROPN
ejpam-6522	500	16	,	,	PUNCT
ejpam-6522	500	17	and	and	CCONJ
ejpam-6522	500	18	a.	a.	PROPN
ejpam-6522	500	19	p.	p.	PROPN
ejpam-6522	500	20	wyse	wyse	PROPN
ejpam-6522	500	21	.	.	PUNCT
ejpam-6522	501	1	controlling	control	VERB
ejpam-6522	501	2	aedes	aedes	PROPN
ejpam-6522	501	3	aegypti	aegypti	VERB
ejpam-6522	501	4	populations	population	NOUN
ejpam-6522	501	5	by	by	ADP
ejpam-6522	501	6	limited	limited	ADJ
ejpam-6522	501	7	wolbachia	wolbachia	NOUN
ejpam-6522	501	8	-	-	PUNCT
ejpam-6522	501	9	based	base	VERB
ejpam-6522	501	10	strategies	strategy	NOUN
ejpam-6522	501	11	in	in	ADP
ejpam-6522	501	12	a	a	DET
ejpam-6522	501	13	seasonal	seasonal	ADJ
ejpam-6522	501	14	environment	environment	NOUN
ejpam-6522	501	15	.	.	PUNCT
ejpam-6522	502	1	mathematical	mathematical	ADJ
ejpam-6522	502	2	methods	method	NOUN
ejpam-6522	502	3	in	in	ADP
ejpam-6522	502	4	the	the	DET
ejpam-6522	502	5	applied	apply	VERB
ejpam-6522	502	6	sciences	science	NOUN
ejpam-6522	502	7	,	,	PUNCT
ejpam-6522	502	8	42(17):5736–5745	42(17):5736–5745	NUM
ejpam-6522	502	9	,	,	PUNCT
ejpam-6522	502	10	march	march	PROPN
ejpam-6522	502	11	2019	2019	NUM
ejpam-6522	502	12	.	.	PUNCT
ejpam-6522	503	1	[	[	X
ejpam-6522	503	2	18	18	NUM
ejpam-6522	503	3	]	]	PUNCT
ejpam-6522	503	4	l.	l.	PROPN
ejpam-6522	503	5	xue	xue	PROPN
ejpam-6522	503	6	,	,	PUNCT
ejpam-6522	503	7	c.	c.	PROPN
ejpam-6522	503	8	a.	a.	NOUN
ejpam-6522	503	9	manore	manore	PROPN
ejpam-6522	503	10	,	,	PUNCT
ejpam-6522	503	11	p.	p.	PROPN
ejpam-6522	503	12	thongsripong	thongsripong	NOUN
ejpam-6522	503	13	,	,	PUNCT
ejpam-6522	503	14	and	and	CCONJ
ejpam-6522	503	15	j.	j.	PROPN
ejpam-6522	503	16	m.	m.	PROPN
ejpam-6522	503	17	hyman	hyman	PROPN
ejpam-6522	503	18	.	.	PROPN
ejpam-6522	503	19	two	two	NUM
ejpam-6522	503	20	-	-	PUNCT
ejpam-6522	503	21	sex	sex	NOUN
ejpam-6522	503	22	mosquito	mosquito	NOUN
ejpam-6522	503	23	model	model	NOUN
ejpam-6522	503	24	for	for	ADP
ejpam-6522	503	25	the	the	DET
ejpam-6522	503	26	persistence	persistence	NOUN
ejpam-6522	503	27	of	of	ADP
ejpam-6522	503	28	wolbachia	wolbachia	PROPN
ejpam-6522	503	29	.	.	PUNCT
ejpam-6522	504	1	journal	journal	PROPN
ejpam-6522	504	2	of	of	ADP
ejpam-6522	504	3	biological	biological	ADJ
ejpam-6522	504	4	dynamics	dynamic	NOUN
ejpam-6522	504	5	,	,	PUNCT
ejpam-6522	504	6	11(sup1):216–237	11(sup1):216–237	NUM
ejpam-6522	504	7	,	,	PUNCT
ejpam-6522	504	8	september	september	PROPN
ejpam-6522	504	9	2016	2016	NUM
ejpam-6522	504	10	.	.	PUNCT
ejpam-6522	505	1	[	[	X
ejpam-6522	505	2	19	19	NUM
ejpam-6522	505	3	]	]	PUNCT
ejpam-6522	505	4	s.	s.	PROPN
ejpam-6522	505	5	javeed	javeed	PROPN
ejpam-6522	505	6	,	,	PUNCT
ejpam-6522	505	7	d.	d.	PROPN
ejpam-6522	505	8	baleanu	baleanu	PROPN
ejpam-6522	505	9	,	,	PUNCT
ejpam-6522	505	10	a.	a.	PROPN
ejpam-6522	505	11	waheed	waheed	PROPN
ejpam-6522	505	12	,	,	PUNCT
ejpam-6522	505	13	m.	m.	PROPN
ejpam-6522	505	14	s.	s.	PROPN
ejpam-6522	505	15	khan	khan	PROPN
ejpam-6522	505	16	,	,	PUNCT
ejpam-6522	505	17	and	and	CCONJ
ejpam-6522	505	18	h.	h.	PROPN
ejpam-6522	505	19	affan	affan	PROPN
ejpam-6522	505	20	.	.	PUNCT
ejpam-6522	506	1	analysis	analysis	NOUN
ejpam-6522	506	2	of	of	ADP
ejpam-6522	506	3	homotopy	homotopy	NOUN
ejpam-6522	506	4	perturbation	perturbation	NOUN
ejpam-6522	506	5	method	method	NOUN
ejpam-6522	506	6	for	for	ADP
ejpam-6522	506	7	solving	solve	VERB
ejpam-6522	506	8	fractional	fractional	ADJ
ejpam-6522	506	9	order	order	NOUN
ejpam-6522	506	10	differential	differential	NOUN
ejpam-6522	506	11	equations	equation	NOUN
ejpam-6522	506	12	.	.	PUNCT
ejpam-6522	507	1	mathematics	mathematic	NOUN
ejpam-6522	507	2	,	,	PUNCT
ejpam-6522	507	3	7(1):40	7(1):40	NUM
ejpam-6522	507	4	,	,	PUNCT
ejpam-6522	507	5	january	january	PROPN
ejpam-6522	507	6	2019	2019	NUM
ejpam-6522	507	7	.	.	PUNCT
ejpam-6522	508	1	[	[	X
ejpam-6522	508	2	20	20	NUM
ejpam-6522	508	3	]	]	PUNCT
ejpam-6522	508	4	j.	j.	PROPN
ejpam-6522	508	5	dianavinnarasi	dianavinnarasi	PROPN
ejpam-6522	508	6	,	,	PUNCT
ejpam-6522	508	7	r.	r.	PROPN
ejpam-6522	508	8	raja	raja	PROPN
ejpam-6522	508	9	,	,	PUNCT
ejpam-6522	508	10	j.	j.	PROPN
ejpam-6522	508	11	alzabut	alzabut	PROPN
ejpam-6522	508	12	,	,	PUNCT
ejpam-6522	508	13	j.	j.	PROPN
ejpam-6522	508	14	cao	cao	PROPN
ejpam-6522	508	15	,	,	PUNCT
ejpam-6522	508	16	m.	m.	NOUN
ejpam-6522	508	17	niezabitowski	niezabitowski	PROPN
ejpam-6522	508	18	,	,	PUNCT
ejpam-6522	508	19	and	and	CCONJ
ejpam-6522	508	20	o.	o.	PROPN
ejpam-6522	508	21	bagdasar	bagdasar	PROPN
ejpam-6522	508	22	.	.	PUNCT
ejpam-6522	509	1	application	application	NOUN
ejpam-6522	509	2	of	of	ADP
ejpam-6522	509	3	caputo	caputo	PROPN
ejpam-6522	509	4	–	–	PUNCT
ejpam-6522	509	5	fabrizio	fabrizio	NOUN
ejpam-6522	509	6	operator	operator	NOUN
ejpam-6522	509	7	to	to	PART
ejpam-6522	509	8	suppress	suppress	VERB
ejpam-6522	509	9	the	the	DET
ejpam-6522	509	10	aedes	aedes	PROPN
ejpam-6522	509	11	aegypti	aegypti	VERB
ejpam-6522	509	12	mosquitoes	mosquito	NOUN
ejpam-6522	509	13	via	via	ADP
ejpam-6522	509	14	wolbachia	wolbachia	NOUN
ejpam-6522	509	15	:	:	PUNCT
ejpam-6522	509	16	an	an	DET
ejpam-6522	509	17	lmi	lmi	PROPN
ejpam-6522	509	18	approach	approach	NOUN
ejpam-6522	509	19	.	.	PUNCT
ejpam-6522	510	1	mathematics	mathematic	NOUN
ejpam-6522	510	2	and	and	CCONJ
ejpam-6522	510	3	computers	computer	NOUN
ejpam-6522	510	4	in	in	ADP
ejpam-6522	510	5	simulation	simulation	NOUN
ejpam-6522	510	6	,	,	PUNCT
ejpam-6522	510	7	201:462–485	201:462–485	NUM
ejpam-6522	510	8	,	,	PUNCT
ejpam-6522	510	9	february	february	NOUN
ejpam-6522	510	10	2021	2021	NUM
ejpam-6522	510	11	.	.	PUNCT
ejpam-6522	511	1	[	[	X
ejpam-6522	511	2	21	21	NUM
ejpam-6522	511	3	]	]	PUNCT
ejpam-6522	511	4	a.	a.	NOUN
ejpam-6522	511	5	i.	i.	PROPN
ejpam-6522	511	6	adekunle	adekunle	PROPN
ejpam-6522	511	7	,	,	PUNCT
ejpam-6522	511	8	m.	m.	NOUN
ejpam-6522	511	9	t.	t.	PROPN
ejpam-6522	511	10	meehan	meehan	PROPN
ejpam-6522	511	11	,	,	PUNCT
ejpam-6522	511	12	and	and	CCONJ
ejpam-6522	511	13	e.	e.	PROPN
ejpam-6522	511	14	s.	s.	PROPN
ejpam-6522	511	15	mcbryde	mcbryde	PROPN
ejpam-6522	511	16	.	.	PUNCT
ejpam-6522	512	1	mathematical	mathematical	ADJ
ejpam-6522	512	2	analysis	analysis	NOUN
ejpam-6522	512	3	of	of	ADP
ejpam-6522	512	4	a	a	DET
ejpam-6522	512	5	wolbachia	wolbachia	NOUN
ejpam-6522	512	6	invasive	invasive	ADJ
ejpam-6522	512	7	model	model	NOUN
ejpam-6522	512	8	with	with	ADP
ejpam-6522	512	9	imperfect	imperfect	ADJ
ejpam-6522	512	10	maternal	maternal	ADJ
ejpam-6522	512	11	transmission	transmission	NOUN
ejpam-6522	512	12	and	and	CCONJ
ejpam-6522	512	13	loss	loss	NOUN
ejpam-6522	512	14	of	of	ADP
ejpam-6522	512	15	wolbachia	wolbachia	NOUN
ejpam-6522	512	16	infection	infection	NOUN
ejpam-6522	512	17	.	.	PUNCT
ejpam-6522	513	1	infectious	infectious	ADJ
ejpam-6522	513	2	disease	disease	NOUN
ejpam-6522	513	3	modelling	modelling	NOUN
ejpam-6522	513	4	,	,	PUNCT
ejpam-6522	513	5	4:265–285	4:265–285	PROPN
ejpam-6522	513	6	,	,	PUNCT
ejpam-6522	513	7	january	january	PROPN
ejpam-6522	513	8	2019	2019	NUM
ejpam-6522	513	9	.	.	PUNCT
ejpam-6522	514	1	[	[	X
ejpam-6522	514	2	22	22	NUM
ejpam-6522	514	3	]	]	PUNCT
ejpam-6522	514	4	k.	k.	PROPN
ejpam-6522	514	5	s.	s.	PROPN
ejpam-6522	514	6	miller	miller	PROPN
ejpam-6522	514	7	and	and	CCONJ
ejpam-6522	514	8	b.	b.	PROPN
ejpam-6522	514	9	ross	ross	PROPN
ejpam-6522	514	10	.	.	PUNCT
ejpam-6522	515	1	an	an	DET
ejpam-6522	515	2	introduction	introduction	NOUN
ejpam-6522	515	3	to	to	ADP
ejpam-6522	515	4	the	the	DET
ejpam-6522	515	5	fractional	fractional	ADJ
ejpam-6522	515	6	calculus	calculus	NOUN
ejpam-6522	515	7	and	and	CCONJ
ejpam-6522	515	8	fractional	fractional	ADJ
ejpam-6522	515	9	differential	differential	ADJ
ejpam-6522	515	10	equations	equation	NOUN
ejpam-6522	515	11	.	.	PUNCT
ejpam-6522	516	1	wiley	wiley	PROPN
ejpam-6522	516	2	,	,	PUNCT
ejpam-6522	516	3	1993	1993	NUM
ejpam-6522	516	4	.	.	PUNCT
ejpam-6522	517	1	[	[	X
ejpam-6522	517	2	23	23	NUM
ejpam-6522	517	3	]	]	PUNCT
ejpam-6522	517	4	i.	i.	NOUN
ejpam-6522	517	5	podlubny	podlubny	PROPN
ejpam-6522	517	6	.	.	PUNCT
ejpam-6522	518	1	fractional	fractional	ADJ
ejpam-6522	518	2	differential	differential	ADJ
ejpam-6522	518	3	equations	equation	NOUN
ejpam-6522	518	4	.	.	PUNCT
ejpam-6522	519	1	academic	academic	ADJ
ejpam-6522	519	2	press	press	NOUN
ejpam-6522	519	3	,	,	PUNCT
ejpam-6522	519	4	san	san	PROPN
ejpam-6522	519	5	diego	diego	PROPN
ejpam-6522	519	6	,	,	PUNCT
ejpam-6522	519	7	ca	ca	PROPN
ejpam-6522	519	8	,	,	PUNCT
ejpam-6522	519	9	usa	usa	PROPN
ejpam-6522	519	10	,	,	PUNCT
ejpam-6522	519	11	1999	1999	NUM
ejpam-6522	519	12	.	.	PUNCT
ejpam-6522	520	1	[	[	X
ejpam-6522	520	2	24	24	NUM
ejpam-6522	520	3	]	]	PUNCT
ejpam-6522	520	4	a.	a.	NOUN
ejpam-6522	520	5	a.	a.	NOUN
ejpam-6522	520	6	a.	a.	PROPN
ejpam-6522	520	7	kilbas	kilbas	PROPN
ejpam-6522	520	8	,	,	PUNCT
ejpam-6522	520	9	h.	h.	PROPN
ejpam-6522	520	10	m.	m.	PROPN
ejpam-6522	520	11	srivastava	srivastava	PROPN
ejpam-6522	520	12	,	,	PUNCT
ejpam-6522	520	13	and	and	CCONJ
ejpam-6522	520	14	j.	j.	PROPN
ejpam-6522	520	15	j.	j.	PROPN
ejpam-6522	520	16	trujillo	trujillo	PROPN
ejpam-6522	520	17	.	.	PUNCT
ejpam-6522	520	18	theory	theory	NOUN
ejpam-6522	520	19	and	and	CCONJ
ejpam-6522	520	20	applications	application	NOUN
ejpam-6522	520	21	of	of	ADP
ejpam-6522	520	22	fractional	fractional	ADJ
ejpam-6522	520	23	differential	differential	ADJ
ejpam-6522	520	24	equations	equation	NOUN
ejpam-6522	520	25	.	.	PUNCT
ejpam-6522	521	1	elsevier	elsevier	PROPN
ejpam-6522	521	2	science	science	PROPN
ejpam-6522	521	3	limited	limit	VERB
ejpam-6522	521	4	,	,	PUNCT
ejpam-6522	521	5	2006	2006	NUM
ejpam-6522	521	6	.	.	PUNCT
ejpam-6522	522	1	[	[	X
ejpam-6522	522	2	25	25	NUM
ejpam-6522	522	3	]	]	PUNCT
ejpam-6522	522	4	m.	m.	NOUN
ejpam-6522	522	5	a.	a.	PROPN
ejpam-6522	522	6	taneco	taneco	PROPN
ejpam-6522	522	7	-	-	PUNCT
ejpam-6522	522	8	hernández	hernández	PROPN
ejpam-6522	522	9	and	and	CCONJ
ejpam-6522	522	10	c.	c.	PROPN
ejpam-6522	522	11	vargas	vargas	PROPN
ejpam-6522	522	12	-	-	PUNCT
ejpam-6522	522	13	de	de	NOUN
ejpam-6522	522	14	-	-	NOUN
ejpam-6522	522	15	león	león	PROPN
ejpam-6522	522	16	.	.	PUNCT
ejpam-6522	523	1	stability	stability	NOUN
ejpam-6522	523	2	and	and	CCONJ
ejpam-6522	523	3	lyapunov	lyapunov	NOUN
ejpam-6522	523	4	functions	function	NOUN
ejpam-6522	523	5	for	for	ADP
ejpam-6522	523	6	systems	system	NOUN
ejpam-6522	523	7	with	with	ADP
ejpam-6522	523	8	atangana	atangana	PROPN
ejpam-6522	523	9	–	–	PUNCT
ejpam-6522	523	10	baleanu	baleanu	PROPN
ejpam-6522	523	11	caputo	caputo	PROPN
ejpam-6522	523	12	derivative	derivative	NOUN
ejpam-6522	523	13	:	:	PUNCT
ejpam-6522	523	14	an	an	DET
ejpam-6522	523	15	hiv	hiv	PROPN
ejpam-6522	523	16	/	/	SYM
ejpam-6522	523	17	aids	aids	PROPN
ejpam-6522	523	18	epidemic	epidemic	NOUN
ejpam-6522	523	19	model	model	NOUN
ejpam-6522	523	20	.	.	PUNCT
ejpam-6522	524	1	chaos	chaos	NOUN
ejpam-6522	524	2	solitons	soliton	NOUN
ejpam-6522	524	3	and	and	CCONJ
ejpam-6522	524	4	fractals	fractal	NOUN
ejpam-6522	524	5	,	,	PUNCT
ejpam-6522	524	6	132:109586	132:109586	NUM
ejpam-6522	524	7	,	,	PUNCT
ejpam-6522	524	8	january	january	PROPN
ejpam-6522	524	9	2020	2020	NUM
ejpam-6522	524	10	.	.	PUNCT
ejpam-6522	525	1	[	[	X
ejpam-6522	525	2	26	26	NUM
ejpam-6522	525	3	]	]	X
ejpam-6522	525	4	h.	h.	PROPN
ejpam-6522	525	5	khan	khan	PROPN
ejpam-6522	525	6	,	,	PUNCT
ejpam-6522	525	7	n.	n.	PROPN
ejpam-6522	525	8	kamran	kamran	PROPN
ejpam-6522	525	9	,	,	PUNCT
ejpam-6522	525	10	s.	s.	PROPN
ejpam-6522	525	11	maqsood	maqsood	PROPN
ejpam-6522	525	12	,	,	PUNCT
ejpam-6522	525	13	d.	d.	PROPN
ejpam-6522	525	14	k.	k.	PROPN
ejpam-6522	525	15	almutairi	almutairi	PROPN
ejpam-6522	525	16	,	,	PUNCT
ejpam-6522	525	17	and	and	CCONJ
ejpam-6522	525	18	j.	j.	PROPN
ejpam-6522	525	19	alzabut	alzabut	PROPN
ejpam-6522	525	20	.	.	PUNCT
ejpam-6522	526	1	a	a	DET
ejpam-6522	526	2	logistic	logistic	ADJ
ejpam-6522	526	3	growth	growth	NOUN
ejpam-6522	526	4	epidemiological	epidemiological	ADJ
ejpam-6522	526	5	seir	seir	NOUN
ejpam-6522	526	6	model	model	NOUN
ejpam-6522	526	7	with	with	ADP
ejpam-6522	526	8	computational	computational	ADJ
ejpam-6522	526	9	and	and	CCONJ
ejpam-6522	526	10	qualitative	qualitative	ADJ
ejpam-6522	526	11	results	result	NOUN
ejpam-6522	526	12	.	.	PUNCT
ejpam-6522	527	1	european	european	ADJ
ejpam-6522	527	2	journal	journal	PROPN
ejpam-6522	527	3	of	of	ADP
ejpam-6522	527	4	pure	pure	ADJ
ejpam-6522	527	5	and	and	CCONJ
ejpam-6522	527	6	applied	applied	ADJ
ejpam-6522	527	7	mathematics	mathematic	NOUN
ejpam-6522	527	8	,	,	PUNCT
ejpam-6522	527	9	18(2):5944	18(2):5944	NUM
ejpam-6522	527	10	,	,	PUNCT
ejpam-6522	527	11	may	may	AUX
ejpam-6522	527	12	2025	2025	NUM
ejpam-6522	527	13	.	.	PUNCT
ejpam-6522	528	1	[	[	X
ejpam-6522	528	2	27	27	NUM
ejpam-6522	528	3	]	]	PUNCT
ejpam-6522	528	4	a.	a.	NOUN
ejpam-6522	528	5	boukhouima	boukhouima	PROPN
ejpam-6522	528	6	,	,	PUNCT
ejpam-6522	528	7	k.	k.	PROPN
ejpam-6522	528	8	hattaf	hattaf	PROPN
ejpam-6522	528	9	,	,	PUNCT
ejpam-6522	528	10	e.	e.	PROPN
ejpam-6522	528	11	m.	m.	PROPN
ejpam-6522	528	12	lotfi	lotfi	PROPN
ejpam-6522	528	13	,	,	PUNCT
ejpam-6522	528	14	m.	m.	NOUN
ejpam-6522	528	15	mahrouf	mahrouf	PROPN
ejpam-6522	528	16	,	,	PUNCT
ejpam-6522	528	17	d.	d.	PROPN
ejpam-6522	528	18	f.	f.	PROPN
ejpam-6522	528	19	m.	m.	PROPN
ejpam-6522	528	20	torres	torres	PROPN
ejpam-6522	528	21	,	,	PUNCT
ejpam-6522	528	22	and	and	CCONJ
ejpam-6522	528	23	n.	n.	PROPN
ejpam-6522	528	24	yousfi	yousfi	PROPN
ejpam-6522	528	25	.	.	PUNCT
ejpam-6522	529	1	lyapunov	lyapunov	ADJ
ejpam-6522	529	2	functions	function	NOUN
ejpam-6522	529	3	for	for	ADP
ejpam-6522	529	4	fractional	fractional	ADJ
ejpam-6522	529	5	-	-	PUNCT
ejpam-6522	529	6	order	order	NOUN
ejpam-6522	529	7	systems	system	NOUN
ejpam-6522	529	8	in	in	ADP
ejpam-6522	529	9	biology	biology	NOUN
ejpam-6522	529	10	:	:	PUNCT
ejpam-6522	529	11	methods	method	NOUN
ejpam-6522	529	12	and	and	CCONJ
ejpam-6522	529	13	applications	application	NOUN
ejpam-6522	529	14	.	.	PUNCT
ejpam-6522	530	1	m.	m.	PROPN
ejpam-6522	530	2	yar	yar	PROPN
ejpam-6522	530	3	,	,	PUNCT
ejpam-6522	530	4	s.	s.	PROPN
ejpam-6522	530	5	javeed	javeed	PROPN
ejpam-6522	530	6	,	,	PUNCT
ejpam-6522	530	7	t.	t.	PROPN
ejpam-6522	530	8	abbas	abbas	PROPN
ejpam-6522	530	9	khan	khan	PROPN
ejpam-6522	530	10	/	/	SYM
ejpam-6522	530	11	eur	eur	PROPN
ejpam-6522	530	12	.	.	PUNCT
ejpam-6522	531	1	j.	j.	PROPN
ejpam-6522	531	2	pure	pure	PROPN
ejpam-6522	531	3	appl	appl	PROPN
ejpam-6522	531	4	.	.	PROPN
ejpam-6522	531	5	math	math	PROPN
ejpam-6522	531	6	,	,	PUNCT
ejpam-6522	531	7	18	18	NUM
ejpam-6522	531	8	(	(	PUNCT
ejpam-6522	531	9	3	3	NUM
ejpam-6522	531	10	)	)	PUNCT
ejpam-6522	531	11	(	(	PUNCT
ejpam-6522	531	12	2025	2025	NUM
ejpam-6522	531	13	)	)	PUNCT
ejpam-6522	531	14	,	,	PUNCT
ejpam-6522	531	15	6522	6522	NUM
ejpam-6522	531	16	22	22	NUM
ejpam-6522	531	17	of	of	ADP
ejpam-6522	531	18	23	23	NUM
ejpam-6522	531	19	chaos	chaos	NOUN
ejpam-6522	531	20	solitons	soliton	NOUN
ejpam-6522	531	21	and	and	CCONJ
ejpam-6522	531	22	fractals	fractal	NOUN
ejpam-6522	531	23	,	,	PUNCT
ejpam-6522	531	24	140:110224	140:110224	NUM
ejpam-6522	531	25	,	,	PUNCT
ejpam-6522	531	26	august	august	PROPN
ejpam-6522	531	27	2020	2020	NUM
ejpam-6522	531	28	.	.	PUNCT
ejpam-6522	532	1	[	[	X
ejpam-6522	532	2	28	28	NUM
ejpam-6522	532	3	]	]	X
ejpam-6522	532	4	a.	a.	PROPN
ejpam-6522	532	5	s.	s.	PROPN
ejpam-6522	532	6	rashed	rashed	PROPN
ejpam-6522	532	7	,	,	PUNCT
ejpam-6522	532	8	m.	m.	NOUN
ejpam-6522	532	9	m.	m.	NOUN
ejpam-6522	532	10	mahdy	mahdy	PROPN
ejpam-6522	532	11	,	,	PUNCT
ejpam-6522	532	12	s.	s.	PROPN
ejpam-6522	532	13	m.	m.	PROPN
ejpam-6522	532	14	mabrouk	mabrouk	PROPN
ejpam-6522	532	15	,	,	PUNCT
ejpam-6522	532	16	and	and	CCONJ
ejpam-6522	532	17	r.	r.	PROPN
ejpam-6522	532	18	saleh	saleh	PROPN
ejpam-6522	532	19	.	.	PUNCT
ejpam-6522	533	1	fractional	fractional	ADJ
ejpam-6522	533	2	order	order	NOUN
ejpam-6522	533	3	mathematical	mathematical	ADJ
ejpam-6522	533	4	model	model	NOUN
ejpam-6522	533	5	for	for	ADP
ejpam-6522	533	6	predicting	predict	VERB
ejpam-6522	533	7	and	and	CCONJ
ejpam-6522	533	8	controlling	control	VERB
ejpam-6522	533	9	dengue	dengue	NOUN
ejpam-6522	533	10	fever	fever	NOUN
ejpam-6522	533	11	spread	spread	VERB
ejpam-6522	533	12	based	base	VERB
ejpam-6522	533	13	on	on	ADP
ejpam-6522	533	14	awareness	awareness	NOUN
ejpam-6522	533	15	dynamics	dynamic	NOUN
ejpam-6522	533	16	.	.	PUNCT
ejpam-6522	534	1	computation	computation	NOUN
ejpam-6522	534	2	,	,	PUNCT
ejpam-6522	534	3	13(5):122	13(5):122	NUM
ejpam-6522	534	4	,	,	PUNCT
ejpam-6522	534	5	may	may	AUX
ejpam-6522	534	6	2025	2025	NUM
ejpam-6522	534	7	.	.	PUNCT
ejpam-6522	535	1	[	[	X
ejpam-6522	535	2	29	29	NUM
ejpam-6522	535	3	]	]	X
ejpam-6522	535	4	h.	h.	PROPN
ejpam-6522	535	5	wan	wan	PROPN
ejpam-6522	535	6	and	and	CCONJ
ejpam-6522	535	7	j.	j.	PROPN
ejpam-6522	535	8	xu	xu	PROPN
ejpam-6522	535	9	.	.	PUNCT
ejpam-6522	536	1	how	how	SCONJ
ejpam-6522	536	2	does	do	AUX
ejpam-6522	536	3	the	the	DET
ejpam-6522	536	4	enhanced	enhanced	ADJ
ejpam-6522	536	5	mortality	mortality	NOUN
ejpam-6522	536	6	of	of	ADP
ejpam-6522	536	7	wolbachia	wolbachia	NOUN
ejpam-6522	536	8	-	-	PUNCT
ejpam-6522	536	9	infected	infect	VERB
ejpam-6522	536	10	immature	immature	ADJ
ejpam-6522	536	11	mosquitoes	mosquito	NOUN
ejpam-6522	536	12	affect	affect	VERB
ejpam-6522	536	13	dengue	dengue	NOUN
ejpam-6522	536	14	transmission	transmission	NOUN
ejpam-6522	536	15	?	?	PUNCT
ejpam-6522	537	1	international	international	ADJ
ejpam-6522	537	2	journal	journal	NOUN
ejpam-6522	537	3	of	of	ADP
ejpam-6522	537	4	biomathematics	biomathematic	NOUN
ejpam-6522	537	5	,	,	PUNCT
ejpam-6522	537	6	april	april	PROPN
ejpam-6522	537	7	2024	2024	NUM
ejpam-6522	537	8	.	.	PUNCT
ejpam-6522	538	1	[	[	X
ejpam-6522	538	2	30	30	NUM
ejpam-6522	538	3	]	]	X
ejpam-6522	538	4	j.	j.	PROPN
ejpam-6522	538	5	dianavinnarasi	dianavinnarasi	PROPN
ejpam-6522	538	6	,	,	PUNCT
ejpam-6522	538	7	r.	r.	PROPN
ejpam-6522	538	8	raja	raja	PROPN
ejpam-6522	538	9	,	,	PUNCT
ejpam-6522	538	10	j.	j.	PROPN
ejpam-6522	538	11	alzabut	alzabut	PROPN
ejpam-6522	538	12	,	,	PUNCT
ejpam-6522	538	13	m.	m.	NOUN
ejpam-6522	538	14	niezabitowski	niezabitowski	PROPN
ejpam-6522	538	15	,	,	PUNCT
ejpam-6522	538	16	and	and	CCONJ
ejpam-6522	538	17	o.	o.	PROPN
ejpam-6522	538	18	bagdasar	bagdasar	PROPN
ejpam-6522	538	19	.	.	PUNCT
ejpam-6522	539	1	controlling	control	VERB
ejpam-6522	539	2	wolbachia	wolbachia	NOUN
ejpam-6522	539	3	transmission	transmission	NOUN
ejpam-6522	539	4	and	and	CCONJ
ejpam-6522	539	5	invasion	invasion	NOUN
ejpam-6522	539	6	dynamics	dynamic	NOUN
ejpam-6522	539	7	among	among	ADP
ejpam-6522	539	8	aedes	aedes	PROPN
ejpam-6522	539	9	aegypti	aegypti	VERB
ejpam-6522	539	10	population	population	NOUN
ejpam-6522	539	11	via	via	ADP
ejpam-6522	539	12	impulsive	impulsive	ADJ
ejpam-6522	539	13	control	control	NOUN
ejpam-6522	539	14	strategy	strategy	NOUN
ejpam-6522	539	15	.	.	PUNCT
ejpam-6522	540	1	symmetry	symmetry	NOUN
ejpam-6522	540	2	,	,	PUNCT
ejpam-6522	540	3	13(3):434	13(3):434	NUM
ejpam-6522	540	4	,	,	PUNCT
ejpam-6522	540	5	march	march	NOUN
ejpam-6522	540	6	2021	2021	NUM
ejpam-6522	540	7	.	.	PUNCT
ejpam-6522	541	1	[	[	X
ejpam-6522	541	2	31	31	NUM
ejpam-6522	541	3	]	]	PUNCT
ejpam-6522	541	4	g.	g.	PROPN
ejpam-6522	541	5	m.	m.	NOUN
ejpam-6522	541	6	vijayalakshmi	vijayalakshmi	NOUN
ejpam-6522	541	7	and	and	CCONJ
ejpam-6522	541	8	m.	m.	NOUN
ejpam-6522	541	9	ariyanatchi	ariyanatchi	PROPN
ejpam-6522	541	10	.	.	PUNCT
ejpam-6522	542	1	fractional	fractional	ADJ
ejpam-6522	542	2	order	order	NOUN
ejpam-6522	542	3	modelling	modelling	NOUN
ejpam-6522	542	4	of	of	ADP
ejpam-6522	542	5	wolbachiacarrying	wolbachiacarrye	VERB
ejpam-6522	542	6	mosquito	mosquito	ADJ
ejpam-6522	542	7	population	population	NOUN
ejpam-6522	542	8	dynamics	dynamic	NOUN
ejpam-6522	542	9	for	for	ADP
ejpam-6522	542	10	dengue	dengue	NOUN
ejpam-6522	542	11	control	control	NOUN
ejpam-6522	542	12	.	.	PUNCT
ejpam-6522	543	1	modeling	model	VERB
ejpam-6522	543	2	earth	earth	NOUN
ejpam-6522	543	3	systems	system	NOUN
ejpam-6522	543	4	and	and	CCONJ
ejpam-6522	543	5	environment	environment	NOUN
ejpam-6522	543	6	,	,	PUNCT
ejpam-6522	543	7	11(4	11(4	NUM
ejpam-6522	543	8	)	)	PUNCT
ejpam-6522	543	9	,	,	PUNCT
ejpam-6522	543	10	may	may	AUX
ejpam-6522	543	11	2025	2025	NUM
ejpam-6522	543	12	.	.	PUNCT
ejpam-6522	544	1	[	[	X
ejpam-6522	544	2	32	32	NUM
ejpam-6522	544	3	]	]	PUNCT
ejpam-6522	544	4	d.	d.	PROPN
ejpam-6522	544	5	joseph	joseph	PROPN
ejpam-6522	544	6	,	,	PUNCT
ejpam-6522	544	7	r.	r.	PROPN
ejpam-6522	544	8	ramachandran	ramachandran	PROPN
ejpam-6522	544	9	,	,	PUNCT
ejpam-6522	544	10	j.	j.	PROPN
ejpam-6522	544	11	alzabut	alzabut	PROPN
ejpam-6522	544	12	,	,	PUNCT
ejpam-6522	544	13	s.	s.	PROPN
ejpam-6522	544	14	a.	a.	PROPN
ejpam-6522	544	15	jose	jose	PROPN
ejpam-6522	544	16	,	,	PUNCT
ejpam-6522	544	17	and	and	CCONJ
ejpam-6522	544	18	h.	h.	PROPN
ejpam-6522	544	19	khan	khan	PROPN
ejpam-6522	544	20	.	.	PUNCT
ejpam-6522	545	1	a	a	DET
ejpam-6522	545	2	fractional	fractional	ADJ
ejpam-6522	545	3	-	-	PUNCT
ejpam-6522	545	4	order	order	NOUN
ejpam-6522	545	5	density	density	NOUN
ejpam-6522	545	6	-	-	PUNCT
ejpam-6522	545	7	dependent	dependent	ADJ
ejpam-6522	545	8	mathematical	mathematical	ADJ
ejpam-6522	545	9	model	model	NOUN
ejpam-6522	545	10	to	to	PART
ejpam-6522	545	11	find	find	VERB
ejpam-6522	545	12	the	the	DET
ejpam-6522	545	13	better	well	ADJ
ejpam-6522	545	14	strain	strain	NOUN
ejpam-6522	545	15	of	of	ADP
ejpam-6522	545	16	wolbachia	wolbachia	PROPN
ejpam-6522	545	17	.	.	PUNCT
ejpam-6522	546	1	symmetry	symmetry	PROPN
ejpam-6522	546	2	,	,	PUNCT
ejpam-6522	546	3	15(4):845	15(4):845	NUM
ejpam-6522	546	4	,	,	PUNCT
ejpam-6522	546	5	april	april	PROPN
ejpam-6522	546	6	2023	2023	NUM
ejpam-6522	546	7	.	.	PUNCT
ejpam-6522	547	1	[	[	X
ejpam-6522	547	2	33	33	NUM
ejpam-6522	547	3	]	]	PUNCT
ejpam-6522	547	4	u.	u.	NOUN
ejpam-6522	547	5	ufuktepe	ufuktepe	NOUN
ejpam-6522	547	6	.	.	PUNCT
ejpam-6522	548	1	discrete	discrete	ADJ
ejpam-6522	548	2	wolbachia	wolbachia	NOUN
ejpam-6522	548	3	diffusion	diffusion	NOUN
ejpam-6522	548	4	in	in	ADP
ejpam-6522	548	5	mosquito	mosquito	ADJ
ejpam-6522	548	6	populations	population	NOUN
ejpam-6522	548	7	with	with	ADP
ejpam-6522	548	8	allee	allee	PROPN
ejpam-6522	548	9	effects	effect	NOUN
ejpam-6522	548	10	.	.	PUNCT
ejpam-6522	549	1	european	european	ADJ
ejpam-6522	549	2	journal	journal	PROPN
ejpam-6522	549	3	of	of	ADP
ejpam-6522	549	4	pure	pure	ADJ
ejpam-6522	549	5	and	and	CCONJ
ejpam-6522	549	6	applied	applied	ADJ
ejpam-6522	549	7	mathematics	mathematic	NOUN
ejpam-6522	549	8	,	,	PUNCT
ejpam-6522	549	9	15(4):1613–1622	15(4):1613–1622	NUM
ejpam-6522	549	10	,	,	PUNCT
ejpam-6522	549	11	october	october	PROPN
ejpam-6522	549	12	2022	2022	NUM
ejpam-6522	549	13	.	.	PUNCT
ejpam-6522	550	1	[	[	X
ejpam-6522	550	2	34	34	NUM
ejpam-6522	550	3	]	]	X
ejpam-6522	550	4	h.	h.	PROPN
ejpam-6522	550	5	m.	m.	PROPN
ejpam-6522	550	6	yang	yang	PROPN
ejpam-6522	550	7	,	,	PUNCT
ejpam-6522	550	8	m.	m.	PROPN
ejpam-6522	550	9	l.	l.	PROPN
ejpam-6522	550	10	g.	g.	PROPN
ejpam-6522	550	11	macoris	macoris	PROPN
ejpam-6522	550	12	,	,	PUNCT
ejpam-6522	550	13	k.	k.	PROPN
ejpam-6522	550	14	c.	c.	PROPN
ejpam-6522	550	15	galvani	galvani	PROPN
ejpam-6522	550	16	,	,	PUNCT
ejpam-6522	550	17	m.	m.	NOUN
ejpam-6522	550	18	t.	t.	PROPN
ejpam-6522	550	19	m.	m.	PROPN
ejpam-6522	550	20	andrighetti	andrighetti	PROPN
ejpam-6522	550	21	,	,	PUNCT
ejpam-6522	550	22	and	and	CCONJ
ejpam-6522	550	23	d.	d.	PROPN
ejpam-6522	550	24	m.	m.	PROPN
ejpam-6522	550	25	v.	v.	ADP
ejpam-6522	550	26	wanderley	wanderley	PROPN
ejpam-6522	550	27	.	.	PUNCT
ejpam-6522	551	1	assessing	assess	VERB
ejpam-6522	551	2	the	the	DET
ejpam-6522	551	3	effects	effect	NOUN
ejpam-6522	551	4	of	of	ADP
ejpam-6522	551	5	temperature	temperature	NOUN
ejpam-6522	551	6	on	on	ADP
ejpam-6522	551	7	the	the	DET
ejpam-6522	551	8	population	population	NOUN
ejpam-6522	551	9	of	of	ADP
ejpam-6522	551	10	aedes	aedes	PROPN
ejpam-6522	551	11	aegypti	aegypti	AUX
ejpam-6522	551	12	,	,	PUNCT
ejpam-6522	551	13	the	the	DET
ejpam-6522	551	14	vector	vector	NOUN
ejpam-6522	551	15	of	of	ADP
ejpam-6522	551	16	dengue	dengue	NOUN
ejpam-6522	551	17	.	.	PUNCT
ejpam-6522	552	1	epidemiology	epidemiology	NOUN
ejpam-6522	552	2	and	and	CCONJ
ejpam-6522	552	3	infection	infection	NOUN
ejpam-6522	552	4	,	,	PUNCT
ejpam-6522	552	5	137(8):1188–1202	137(8):1188–1202	NOUN
ejpam-6522	552	6	,	,	PUNCT
ejpam-6522	552	7	february	february	PROPN
ejpam-6522	552	8	2009	2009	NUM
ejpam-6522	552	9	.	.	PUNCT
ejpam-6522	553	1	[	[	X
ejpam-6522	553	2	35	35	NUM
ejpam-6522	553	3	]	]	X
ejpam-6522	553	4	b.	b.	PROPN
ejpam-6522	553	5	zheng	zheng	PROPN
ejpam-6522	553	6	,	,	PUNCT
ejpam-6522	553	7	m.	m.	NOUN
ejpam-6522	553	8	tang	tang	PROPN
ejpam-6522	553	9	,	,	PUNCT
ejpam-6522	553	10	j.	j.	PROPN
ejpam-6522	553	11	yu	yu	PROPN
ejpam-6522	553	12	,	,	PUNCT
ejpam-6522	553	13	and	and	CCONJ
ejpam-6522	553	14	j.	j.	PROPN
ejpam-6522	553	15	qiu	qiu	PROPN
ejpam-6522	553	16	.	.	PUNCT
ejpam-6522	553	17	wolbachia	wolbachia	PROPN
ejpam-6522	553	18	spreading	spread	VERB
ejpam-6522	553	19	dynamics	dynamic	NOUN
ejpam-6522	553	20	in	in	ADP
ejpam-6522	553	21	mosquitoes	mosquito	NOUN
ejpam-6522	553	22	with	with	ADP
ejpam-6522	553	23	imperfect	imperfect	ADJ
ejpam-6522	553	24	maternal	maternal	ADJ
ejpam-6522	553	25	transmission	transmission	NOUN
ejpam-6522	553	26	.	.	PUNCT
ejpam-6522	554	1	journal	journal	PROPN
ejpam-6522	554	2	of	of	ADP
ejpam-6522	554	3	mathematical	mathematical	ADJ
ejpam-6522	554	4	biology	biology	NOUN
ejpam-6522	554	5	,	,	PUNCT
ejpam-6522	554	6	76(1–2):235	76(1–2):235	NOUN
ejpam-6522	554	7	–	–	PUNCT
ejpam-6522	554	8	263	263	NUM
ejpam-6522	554	9	,	,	PUNCT
ejpam-6522	554	10	june	june	PROPN
ejpam-6522	554	11	2017	2017	NUM
ejpam-6522	554	12	.	.	PUNCT
ejpam-6522	555	1	[	[	X
ejpam-6522	555	2	36	36	NUM
ejpam-6522	555	3	]	]	X
ejpam-6522	555	4	j.	j.	PROPN
ejpam-6522	555	5	arrivillaga	arrivillaga	PROPN
ejpam-6522	555	6	and	and	CCONJ
ejpam-6522	555	7	r.	r.	PROPN
ejpam-6522	555	8	barrera	barrera	PROPN
ejpam-6522	555	9	.	.	PUNCT
ejpam-6522	556	1	food	food	NOUN
ejpam-6522	556	2	as	as	ADP
ejpam-6522	556	3	a	a	DET
ejpam-6522	556	4	limiting	limit	VERB
ejpam-6522	556	5	factor	factor	NOUN
ejpam-6522	556	6	for	for	ADP
ejpam-6522	556	7	aedes	aedes	PROPN
ejpam-6522	556	8	aegypti	aegypti	VERB
ejpam-6522	556	9	in	in	ADP
ejpam-6522	556	10	water	water	NOUN
ejpam-6522	556	11	-	-	PUNCT
ejpam-6522	556	12	storage	storage	NOUN
ejpam-6522	556	13	containers	container	NOUN
ejpam-6522	556	14	.	.	PUNCT
ejpam-6522	557	1	pubmed	pubmed	PROPN
ejpam-6522	557	2	,	,	PUNCT
ejpam-6522	557	3	29(1):11–20	29(1):11–20	NUM
ejpam-6522	557	4	,	,	PUNCT
ejpam-6522	557	5	june	june	PROPN
ejpam-6522	557	6	2004	2004	NUM
ejpam-6522	557	7	.	.	PUNCT
ejpam-6522	558	1	[	[	X
ejpam-6522	558	2	37	37	NUM
ejpam-6522	558	3	]	]	PUNCT
ejpam-6522	558	4	a.	a.	NOUN
ejpam-6522	558	5	boukhouima	boukhouima	PROPN
ejpam-6522	558	6	,	,	PUNCT
ejpam-6522	558	7	h.	h.	PROPN
ejpam-6522	558	8	zine	zine	PROPN
ejpam-6522	558	9	,	,	PUNCT
ejpam-6522	558	10	e.	e.	PROPN
ejpam-6522	558	11	m.	m.	PROPN
ejpam-6522	558	12	lotfi	lotfi	PROPN
ejpam-6522	558	13	,	,	PUNCT
ejpam-6522	558	14	m.	m.	NOUN
ejpam-6522	558	15	mahrouf	mahrouf	PROPN
ejpam-6522	558	16	,	,	PUNCT
ejpam-6522	558	17	d.	d.	PROPN
ejpam-6522	558	18	f.	f.	PROPN
ejpam-6522	558	19	m.	m.	PROPN
ejpam-6522	558	20	torres	torres	PROPN
ejpam-6522	558	21	,	,	PUNCT
ejpam-6522	558	22	and	and	CCONJ
ejpam-6522	558	23	n.	n.	PROPN
ejpam-6522	558	24	yousfi	yousfi	PROPN
ejpam-6522	558	25	.	.	PUNCT
ejpam-6522	559	1	lyapunov	lyapunov	ADJ
ejpam-6522	559	2	functions	function	NOUN
ejpam-6522	559	3	and	and	CCONJ
ejpam-6522	559	4	stability	stability	NOUN
ejpam-6522	559	5	analysis	analysis	NOUN
ejpam-6522	559	6	of	of	ADP
ejpam-6522	559	7	fractional	fractional	ADJ
ejpam-6522	559	8	-	-	PUNCT
ejpam-6522	559	9	order	order	NOUN
ejpam-6522	559	10	systems	system	NOUN
ejpam-6522	559	11	.	.	PUNCT
ejpam-6522	560	1	in	in	ADP
ejpam-6522	560	2	elsevier	elsevier	PROPN
ejpam-6522	560	3	ebooks	ebooks	PROPN
ejpam-6522	560	4	,	,	PUNCT
ejpam-6522	560	5	pages	page	NOUN
ejpam-6522	560	6	125–136	125–136	NUM
ejpam-6522	560	7	.	.	PUNCT
ejpam-6522	560	8	2022	2022	NUM
ejpam-6522	560	9	.	.	PUNCT
ejpam-6522	561	1	[	[	X
ejpam-6522	561	2	38	38	NUM
ejpam-6522	561	3	]	]	PUNCT
ejpam-6522	561	4	s.	s.	PROPN
ejpam-6522	561	5	t.	t.	PROPN
ejpam-6522	561	6	ogunlade	ogunlade	PROPN
ejpam-6522	561	7	,	,	PUNCT
ejpam-6522	561	8	a.	a.	NOUN
ejpam-6522	561	9	i.	i.	PROPN
ejpam-6522	561	10	adekunle	adekunle	PROPN
ejpam-6522	561	11	,	,	PUNCT
ejpam-6522	561	12	m.	m.	NOUN
ejpam-6522	561	13	t.	t.	PROPN
ejpam-6522	561	14	meehan	meehan	PROPN
ejpam-6522	561	15	,	,	PUNCT
ejpam-6522	561	16	d.	d.	PROPN
ejpam-6522	561	17	p.	p.	PROPN
ejpam-6522	561	18	rojas	rojas	PROPN
ejpam-6522	561	19	,	,	PUNCT
ejpam-6522	561	20	and	and	CCONJ
ejpam-6522	561	21	e.	e.	PROPN
ejpam-6522	561	22	s.	s.	PROPN
ejpam-6522	561	23	mcbryde	mcbryde	PROPN
ejpam-6522	561	24	.	.	PUNCT
ejpam-6522	562	1	modeling	model	VERB
ejpam-6522	562	2	the	the	DET
ejpam-6522	562	3	potential	potential	NOUN
ejpam-6522	562	4	of	of	ADP
ejpam-6522	562	5	wau	wau	PROPN
ejpam-6522	562	6	-	-	PUNCT
ejpam-6522	562	7	wolbachia	wolbachia	NOUN
ejpam-6522	562	8	strain	strain	NOUN
ejpam-6522	562	9	invasion	invasion	NOUN
ejpam-6522	562	10	in	in	ADP
ejpam-6522	562	11	mosquitoes	mosquito	NOUN
ejpam-6522	562	12	to	to	PART
ejpam-6522	562	13	control	control	VERB
ejpam-6522	562	14	aedes	aedes	PROPN
ejpam-6522	562	15	-	-	PUNCT
ejpam-6522	562	16	borne	bear	VERB
ejpam-6522	562	17	arboviral	arboviral	ADJ
ejpam-6522	562	18	infections	infection	NOUN
ejpam-6522	562	19	.	.	PUNCT
ejpam-6522	563	1	scientific	scientific	ADJ
ejpam-6522	563	2	reports	report	NOUN
ejpam-6522	563	3	,	,	PUNCT
ejpam-6522	563	4	10(1	10(1	NUM
ejpam-6522	563	5	)	)	PUNCT
ejpam-6522	563	6	,	,	PUNCT
ejpam-6522	563	7	october	october	PROPN
ejpam-6522	563	8	2020	2020	NUM
ejpam-6522	563	9	.	.	PUNCT
ejpam-6522	564	1	[	[	X
ejpam-6522	564	2	39	39	NUM
ejpam-6522	564	3	]	]	PUNCT
ejpam-6522	564	4	a.	a.	NOUN
ejpam-6522	564	5	a.	a.	PROPN
ejpam-6522	564	6	hoffmann	hoffmann	PROPN
ejpam-6522	564	7	et	et	PROPN
ejpam-6522	564	8	al	al	PROPN
ejpam-6522	564	9	.	.	PROPN
ejpam-6522	564	10	stability	stability	NOUN
ejpam-6522	564	11	of	of	ADP
ejpam-6522	564	12	the	the	DET
ejpam-6522	564	13	wmel	wmel	PROPN
ejpam-6522	564	14	wolbachia	wolbachia	PROPN
ejpam-6522	564	15	infection	infection	NOUN
ejpam-6522	564	16	following	follow	VERB
ejpam-6522	564	17	invasion	invasion	NOUN
ejpam-6522	564	18	into	into	ADP
ejpam-6522	564	19	aedes	aedes	PROPN
ejpam-6522	564	20	aegypti	aegypti	VERB
ejpam-6522	564	21	populations	population	NOUN
ejpam-6522	564	22	.	.	PUNCT
ejpam-6522	565	1	plos	plos	PROPN
ejpam-6522	565	2	neglected	neglect	VERB
ejpam-6522	565	3	tropical	tropical	ADJ
ejpam-6522	565	4	diseases	disease	NOUN
ejpam-6522	565	5	,	,	PUNCT
ejpam-6522	565	6	8(9	8(9	NUM
ejpam-6522	565	7	)	)	PUNCT
ejpam-6522	565	8	,	,	PUNCT
ejpam-6522	565	9	september	september	PROPN
ejpam-6522	565	10	2014	2014	NUM
ejpam-6522	565	11	.	.	PUNCT
ejpam-6522	566	1	[	[	X
ejpam-6522	566	2	40	40	NUM
ejpam-6522	566	3	]	]	PUNCT
ejpam-6522	566	4	c.	c.	PROPN
ejpam-6522	566	5	j.	j.	PROPN
ejpam-6522	566	6	mcmeniman	mcmeniman	PROPN
ejpam-6522	566	7	and	and	CCONJ
ejpam-6522	566	8	s.	s.	PROPN
ejpam-6522	566	9	l.	l.	PROPN
ejpam-6522	566	10	o’neill	o’neill	PROPN
ejpam-6522	566	11	.	.	PUNCT
ejpam-6522	567	1	a	a	DET
ejpam-6522	567	2	virulent	virulent	NOUN
ejpam-6522	567	3	wolbachia	wolbachia	NOUN
ejpam-6522	567	4	infection	infection	NOUN
ejpam-6522	567	5	decreases	decrease	VERB
ejpam-6522	567	6	the	the	DET
ejpam-6522	567	7	viability	viability	NOUN
ejpam-6522	567	8	of	of	ADP
ejpam-6522	567	9	the	the	DET
ejpam-6522	567	10	dengue	dengue	NOUN
ejpam-6522	567	11	vector	vector	NOUN
ejpam-6522	567	12	aedes	aedes	PROPN
ejpam-6522	567	13	aegypti	aegypti	VERB
ejpam-6522	567	14	during	during	ADP
ejpam-6522	567	15	periods	period	NOUN
ejpam-6522	567	16	of	of	ADP
ejpam-6522	567	17	embryonic	embryonic	ADJ
ejpam-6522	567	18	quiescence	quiescence	NOUN
ejpam-6522	567	19	.	.	PUNCT
ejpam-6522	568	1	plos	plos	PROPN
ejpam-6522	568	2	neglected	neglect	VERB
ejpam-6522	568	3	tropical	tropical	ADJ
ejpam-6522	568	4	diseases	disease	NOUN
ejpam-6522	568	5	,	,	PUNCT
ejpam-6522	568	6	4(7):e748	4(7):e748	NOUN
ejpam-6522	568	7	,	,	PUNCT
ejpam-6522	568	8	july	july	PROPN
ejpam-6522	568	9	2010	2010	NUM
ejpam-6522	568	10	.	.	PUNCT
ejpam-6522	569	1	[	[	X
ejpam-6522	569	2	41	41	NUM
ejpam-6522	569	3	]	]	PUNCT
ejpam-6522	569	4	l.	l.	PROPN
ejpam-6522	569	5	p.	p.	PROPN
ejpam-6522	569	6	lounibos	lounibos	PROPN
ejpam-6522	569	7	and	and	CCONJ
ejpam-6522	569	8	r.	r.	PROPN
ejpam-6522	569	9	l.	l.	PROPN
ejpam-6522	569	10	escher	escher	PROPN
ejpam-6522	569	11	.	.	PUNCT
ejpam-6522	570	1	sex	sex	NOUN
ejpam-6522	570	2	ratios	ratio	NOUN
ejpam-6522	570	3	of	of	ADP
ejpam-6522	570	4	mosquitoes	mosquito	NOUN
ejpam-6522	570	5	from	from	ADP
ejpam-6522	570	6	long	long	ADJ
ejpam-6522	570	7	-	-	PUNCT
ejpam-6522	570	8	term	term	NOUN
ejpam-6522	570	9	censuses	census	NOUN
ejpam-6522	570	10	of	of	ADP
ejpam-6522	570	11	florida	florida	PROPN
ejpam-6522	570	12	tree	tree	NOUN
ejpam-6522	570	13	holes	hole	NOUN
ejpam-6522	570	14	.	.	PUNCT
ejpam-6522	571	1	journal	journal	NOUN
ejpam-6522	571	2	of	of	ADP
ejpam-6522	571	3	the	the	DET
ejpam-6522	571	4	american	american	PROPN
ejpam-6522	571	5	mosquito	mosquito	PROPN
ejpam-6522	571	6	control	control	PROPN
ejpam-6522	571	7	association	association	PROPN
ejpam-6522	571	8	,	,	PUNCT
ejpam-6522	571	9	24(1):11–15	24(1):11–15	NUM
ejpam-6522	571	10	,	,	PUNCT
ejpam-6522	571	11	march	march	PROPN
ejpam-6522	571	12	2008	2008	NUM
ejpam-6522	571	13	.	.	PUNCT
ejpam-6522	572	1	[	[	X
ejpam-6522	572	2	42	42	NUM
ejpam-6522	572	3	]	]	X
ejpam-6522	572	4	c.	c.	PROPN
ejpam-6522	572	5	j.	j.	PROPN
ejpam-6522	572	6	mcmeniman	mcmeniman	PROPN
ejpam-6522	572	7	et	et	PROPN
ejpam-6522	572	8	al	al	PROPN
ejpam-6522	572	9	.	.	PROPN
ejpam-6522	572	10	stable	stable	ADJ
ejpam-6522	572	11	introduction	introduction	NOUN
ejpam-6522	572	12	of	of	ADP
ejpam-6522	572	13	a	a	DET
ejpam-6522	572	14	life	life	NOUN
ejpam-6522	572	15	-	-	PUNCT
ejpam-6522	572	16	shortening	shorten	VERB
ejpam-6522	572	17	wolbachia	wolbachia	NOUN
ejpam-6522	572	18	infection	infection	NOUN
ejpam-6522	572	19	into	into	ADP
ejpam-6522	572	20	the	the	DET
ejpam-6522	572	21	mosquito	mosquito	ADJ
ejpam-6522	572	22	aedes	aedes	PROPN
ejpam-6522	572	23	aegypti	aegypti	PROPN
ejpam-6522	572	24	.	.	PUNCT
ejpam-6522	573	1	science	science	NOUN
ejpam-6522	573	2	,	,	PUNCT
ejpam-6522	573	3	323(5910):141–144	323(5910):141–144	NUM
ejpam-6522	573	4	,	,	PUNCT
ejpam-6522	573	5	january	january	PROPN
ejpam-6522	573	6	2009	2009	NUM
ejpam-6522	573	7	.	.	PUNCT
ejpam-6522	574	1	[	[	X
ejpam-6522	574	2	43	43	NUM
ejpam-6522	574	3	]	]	PUNCT
ejpam-6522	574	4	a.	a.	NOUN
ejpam-6522	574	5	boukhouima	boukhouima	PROPN
ejpam-6522	574	6	,	,	PUNCT
ejpam-6522	574	7	k.	k.	PROPN
ejpam-6522	574	8	hattaf	hattaf	PROPN
ejpam-6522	574	9	,	,	PUNCT
ejpam-6522	574	10	and	and	CCONJ
ejpam-6522	574	11	n.	n.	PROPN
ejpam-6522	574	12	yousfi	yousfi	PROPN
ejpam-6522	574	13	.	.	PUNCT
ejpam-6522	575	1	dynamics	dynamic	NOUN
ejpam-6522	575	2	of	of	ADP
ejpam-6522	575	3	a	a	DET
ejpam-6522	575	4	fractional	fractional	ADJ
ejpam-6522	575	5	order	order	NOUN
ejpam-6522	575	6	hiv	hiv	PROPN
ejpam-6522	575	7	infection	infection	NOUN
ejpam-6522	575	8	model	model	NOUN
ejpam-6522	575	9	with	with	ADP
ejpam-6522	575	10	specific	specific	ADJ
ejpam-6522	575	11	functional	functional	ADJ
ejpam-6522	575	12	response	response	NOUN
ejpam-6522	575	13	and	and	CCONJ
ejpam-6522	575	14	cure	cure	NOUN
ejpam-6522	575	15	rate	rate	NOUN
ejpam-6522	575	16	.	.	PUNCT
ejpam-6522	576	1	international	international	ADJ
ejpam-6522	576	2	journal	journal	PROPN
ejpam-6522	576	3	of	of	ADP
ejpam-6522	576	4	differential	differential	ADJ
ejpam-6522	576	5	equations	equation	NOUN
ejpam-6522	576	6	,	,	PUNCT
ejpam-6522	576	7	2017:1–8	2017:1–8	PROPN
ejpam-6522	576	8	,	,	PUNCT
ejpam-6522	576	9	january	january	PROPN
ejpam-6522	576	10	2017	2017	NUM
ejpam-6522	576	11	.	.	PUNCT
ejpam-6522	577	1	[	[	X
ejpam-6522	577	2	44	44	NUM
ejpam-6522	577	3	]	]	X
ejpam-6522	577	4	h.-l	h.-l	PROPN
ejpam-6522	577	5	.	.	PUNCT
ejpam-6522	578	1	li	li	PROPN
ejpam-6522	578	2	,	,	PUNCT
ejpam-6522	578	3	l.	l.	PROPN
ejpam-6522	578	4	zhang	zhang	PROPN
ejpam-6522	578	5	,	,	PUNCT
ejpam-6522	578	6	c.	c.	PROPN
ejpam-6522	578	7	hu	hu	PROPN
ejpam-6522	578	8	,	,	PUNCT
ejpam-6522	578	9	y.-l	y.-l	PROPN
ejpam-6522	578	10	.	.	PUNCT
ejpam-6522	579	1	jiang	jiang	PROPN
ejpam-6522	579	2	,	,	PUNCT
ejpam-6522	579	3	and	and	CCONJ
ejpam-6522	579	4	z.	z.	PROPN
ejpam-6522	579	5	teng	teng	PROPN
ejpam-6522	579	6	.	.	PUNCT
ejpam-6522	580	1	dynamical	dynamical	ADJ
ejpam-6522	580	2	analysis	analysis	NOUN
ejpam-6522	580	3	of	of	ADP
ejpam-6522	580	4	a	a	DET
ejpam-6522	580	5	fractionalorder	fractionalorder	ADJ
ejpam-6522	580	6	predator	predator	NOUN
ejpam-6522	580	7	-	-	PUNCT
ejpam-6522	580	8	prey	prey	NOUN
ejpam-6522	580	9	model	model	NOUN
ejpam-6522	580	10	incorporating	incorporate	VERB
ejpam-6522	580	11	a	a	DET
ejpam-6522	580	12	prey	prey	NOUN
ejpam-6522	580	13	refuge	refuge	NOUN
ejpam-6522	580	14	.	.	PUNCT
ejpam-6522	581	1	journal	journal	NOUN
ejpam-6522	581	2	of	of	ADP
ejpam-6522	581	3	applied	apply	VERB
ejpam-6522	581	4	mathematics	mathematics	PROPN
ejpam-6522	581	5	m.	m.	PROPN
ejpam-6522	581	6	yar	yar	PROPN
ejpam-6522	581	7	,	,	PUNCT
ejpam-6522	581	8	s.	s.	PROPN
ejpam-6522	581	9	javeed	javeed	PROPN
ejpam-6522	581	10	,	,	PUNCT
ejpam-6522	581	11	t.	t.	PROPN
ejpam-6522	581	12	abbas	abbas	PROPN
ejpam-6522	581	13	khan	khan	PROPN
ejpam-6522	581	14	/	/	SYM
ejpam-6522	581	15	eur	eur	PROPN
ejpam-6522	581	16	.	.	PUNCT
ejpam-6522	582	1	j.	j.	PROPN
ejpam-6522	582	2	pure	pure	PROPN
ejpam-6522	582	3	appl	appl	PROPN
ejpam-6522	582	4	.	.	PROPN
ejpam-6522	582	5	math	math	PROPN
ejpam-6522	582	6	,	,	PUNCT
ejpam-6522	582	7	18	18	NUM
ejpam-6522	582	8	(	(	PUNCT
ejpam-6522	582	9	3	3	NUM
ejpam-6522	582	10	)	)	PUNCT
ejpam-6522	582	11	(	(	PUNCT
ejpam-6522	582	12	2025	2025	NUM
ejpam-6522	582	13	)	)	PUNCT
ejpam-6522	582	14	,	,	PUNCT
ejpam-6522	582	15	6522	6522	NUM
ejpam-6522	582	16	23	23	NUM
ejpam-6522	582	17	of	of	ADP
ejpam-6522	582	18	23	23	NUM
ejpam-6522	582	19	and	and	CCONJ
ejpam-6522	582	20	computing	computing	NOUN
ejpam-6522	582	21	,	,	PUNCT
ejpam-6522	582	22	54(1–2):435–449	54(1–2):435–449	PROPN
ejpam-6522	582	23	,	,	PUNCT
ejpam-6522	582	24	may	may	AUX
ejpam-6522	582	25	2016	2016	NUM
ejpam-6522	582	26	.	.	PUNCT
ejpam-6522	583	1	[	[	X
ejpam-6522	583	2	45	45	NUM
ejpam-6522	583	3	]	]	PUNCT
ejpam-6522	583	4	c.	c.	PROPN
ejpam-6522	583	5	vargas	vargas	PROPN
ejpam-6522	583	6	-	-	PUNCT
ejpam-6522	583	7	de	de	NOUN
ejpam-6522	583	8	-	-	NOUN
ejpam-6522	583	9	león	león	PROPN
ejpam-6522	583	10	.	.	PUNCT
ejpam-6522	583	11	volterra	volterra	NOUN
ejpam-6522	583	12	-	-	PUNCT
ejpam-6522	583	13	type	type	NOUN
ejpam-6522	583	14	lyapunov	lyapunov	NOUN
ejpam-6522	583	15	functions	function	NOUN
ejpam-6522	583	16	for	for	ADP
ejpam-6522	583	17	fractional	fractional	ADJ
ejpam-6522	583	18	-	-	PUNCT
ejpam-6522	583	19	order	order	NOUN
ejpam-6522	583	20	epidemic	epidemic	NOUN
ejpam-6522	583	21	systems	system	NOUN
ejpam-6522	583	22	.	.	PUNCT
ejpam-6522	584	1	communications	communication	NOUN
ejpam-6522	584	2	in	in	ADP
ejpam-6522	584	3	nonlinear	nonlinear	ADJ
ejpam-6522	584	4	science	science	NOUN
ejpam-6522	584	5	and	and	CCONJ
ejpam-6522	584	6	numerical	numerical	PROPN
ejpam-6522	584	7	simulation	simulation	PROPN
ejpam-6522	584	8	,	,	PUNCT
ejpam-6522	584	9	24(1–3):75–85	24(1–3):75–85	NUM
ejpam-6522	584	10	,	,	PUNCT
ejpam-6522	584	11	january	january	PROPN
ejpam-6522	584	12	2015	2015	NUM
ejpam-6522	584	13	.	.	PUNCT
ejpam-6522	585	1	[	[	X
ejpam-6522	585	2	46	46	NUM
ejpam-6522	585	3	]	]	X
ejpam-6522	585	4	j.	j.	PROPN
ejpam-6522	585	5	dushoff	dushoff	PROPN
ejpam-6522	585	6	,	,	PUNCT
ejpam-6522	585	7	w.	w.	PROPN
ejpam-6522	585	8	huang	huang	PROPN
ejpam-6522	585	9	,	,	PUNCT
ejpam-6522	585	10	and	and	CCONJ
ejpam-6522	585	11	c.	c.	PROPN
ejpam-6522	585	12	castillo	castillo	PROPN
ejpam-6522	585	13	-	-	PUNCT
ejpam-6522	585	14	chavez	chavez	PROPN
ejpam-6522	585	15	.	.	PUNCT
ejpam-6522	586	1	backwards	backwards	ADV
ejpam-6522	586	2	bifurcations	bifurcation	NOUN
ejpam-6522	586	3	and	and	CCONJ
ejpam-6522	586	4	catastrophe	catastrophe	NOUN
ejpam-6522	586	5	in	in	ADP
ejpam-6522	586	6	simple	simple	ADJ
ejpam-6522	586	7	models	model	NOUN
ejpam-6522	586	8	of	of	ADP
ejpam-6522	586	9	fatal	fatal	ADJ
ejpam-6522	586	10	diseases	disease	NOUN
ejpam-6522	586	11	.	.	PUNCT
ejpam-6522	587	1	journal	journal	PROPN
ejpam-6522	587	2	of	of	ADP
ejpam-6522	587	3	mathematical	mathematical	ADJ
ejpam-6522	587	4	biology	biology	NOUN
ejpam-6522	587	5	,	,	PUNCT
ejpam-6522	587	6	36(3):227–248	36(3):227–248	PROPN
ejpam-6522	587	7	,	,	PUNCT
ejpam-6522	587	8	february	february	NOUN
ejpam-6522	587	9	1998	1998	NUM
ejpam-6522	587	10	.	.	PUNCT
ejpam-6522	588	1	[	[	X
ejpam-6522	588	2	47	47	NUM
ejpam-6522	588	3	]	]	PUNCT
ejpam-6522	588	4	s.	s.	PROPN
ejpam-6522	588	5	m.	m.	PROPN
ejpam-6522	588	6	ulam	ulam	PROPN
ejpam-6522	588	7	.	.	PUNCT
ejpam-6522	589	1	a	a	DET
ejpam-6522	589	2	collection	collection	NOUN
ejpam-6522	589	3	of	of	ADP
ejpam-6522	589	4	mathematical	mathematical	ADJ
ejpam-6522	589	5	problems	problem	NOUN
ejpam-6522	589	6	.	.	PUNCT
ejpam-6522	590	1	interscience	interscience	NOUN
ejpam-6522	590	2	publishers	publisher	NOUN
ejpam-6522	590	3	,	,	PUNCT
ejpam-6522	590	4	new	new	PROPN
ejpam-6522	590	5	york	york	PROPN
ejpam-6522	590	6	,	,	PUNCT
ejpam-6522	590	7	1960	1960	NUM
ejpam-6522	590	8	.	.	PUNCT
ejpam-6522	591	1	[	[	X
ejpam-6522	591	2	48	48	NUM
ejpam-6522	591	3	]	]	PUNCT
ejpam-6522	591	4	d.	d.	PROPN
ejpam-6522	591	5	h.	h.	PROPN
ejpam-6522	591	6	hyers	hyers	PROPN
ejpam-6522	591	7	.	.	PUNCT
ejpam-6522	592	1	on	on	ADP
ejpam-6522	592	2	the	the	DET
ejpam-6522	592	3	stability	stability	NOUN
ejpam-6522	592	4	of	of	ADP
ejpam-6522	592	5	the	the	DET
ejpam-6522	592	6	linear	linear	ADJ
ejpam-6522	592	7	functional	functional	ADJ
ejpam-6522	592	8	equation	equation	NOUN
ejpam-6522	592	9	.	.	PUNCT
ejpam-6522	593	1	proceedings	proceeding	NOUN
ejpam-6522	593	2	of	of	ADP
ejpam-6522	593	3	the	the	DET
ejpam-6522	593	4	national	national	PROPN
ejpam-6522	593	5	academy	academy	PROPN
ejpam-6522	593	6	of	of	ADP
ejpam-6522	593	7	sciences	sciences	PROPN
ejpam-6522	593	8	,	,	PUNCT
ejpam-6522	593	9	27(4):222–224	27(4):222–224	NUM
ejpam-6522	593	10	,	,	PUNCT
ejpam-6522	593	11	april	april	PROPN
ejpam-6522	593	12	1941	1941	NUM
ejpam-6522	593	13	.	.	PUNCT