id	sid	tid	token	lemma	pos
ejpam-6685	1	1	european	european	PROPN
ejpam-6685	1	2	journal	journal	PROPN
ejpam-6685	1	3	of	of	ADP
ejpam-6685	1	4	pure	pure	ADJ
ejpam-6685	1	5	and	and	CCONJ
ejpam-6685	1	6	applied	applied	ADJ
ejpam-6685	1	7	mathematics	mathematic	NOUN
ejpam-6685	1	8	2025	2025	NUM
ejpam-6685	1	9	,	,	PUNCT
ejpam-6685	1	10	vol	vol	NOUN
ejpam-6685	1	11	.	.	PROPN
ejpam-6685	1	12	18	18	NUM
ejpam-6685	1	13	,	,	PUNCT
ejpam-6685	1	14	issue	issue	NOUN
ejpam-6685	1	15	3	3	NUM
ejpam-6685	1	16	,	,	PUNCT
ejpam-6685	1	17	article	article	NOUN
ejpam-6685	1	18	number	number	NOUN
ejpam-6685	1	19	6685	6685	NUM
ejpam-6685	1	20	issn	issn	PROPN
ejpam-6685	1	21	1307	1307	NUM
ejpam-6685	1	22	-	-	SYM
ejpam-6685	1	23	5543	5543	NUM
ejpam-6685	1	24	–	–	PUNCT
ejpam-6685	1	25	ejpam.com	ejpam.com	X
ejpam-6685	1	26	published	publish	VERB
ejpam-6685	1	27	by	by	ADP
ejpam-6685	1	28	new	new	PROPN
ejpam-6685	1	29	york	york	PROPN
ejpam-6685	1	30	business	business	PROPN
ejpam-6685	1	31	global	global	PROPN
ejpam-6685	1	32	nonlinear	nonlinear	ADJ
ejpam-6685	1	33	dynamics	dynamic	NOUN
ejpam-6685	1	34	of	of	ADP
ejpam-6685	1	35	dengue	dengue	NOUN
ejpam-6685	1	36	fever	fever	NOUN
ejpam-6685	1	37	with	with	ADP
ejpam-6685	1	38	vaccination	vaccination	NOUN
ejpam-6685	1	39	and	and	CCONJ
ejpam-6685	1	40	saturated	saturated	ADJ
ejpam-6685	1	41	incidence	incidence	NOUN
ejpam-6685	1	42	mansoor	mansoor	PROPN
ejpam-6685	1	43	alsulami1	alsulami1	PROPN
ejpam-6685	1	44	,	,	PUNCT
ejpam-6685	1	45	rashid	rashid	PROPN
ejpam-6685	1	46	jan2,3,4,∗	jan2,3,4,∗	PROPN
ejpam-6685	1	47	,	,	PUNCT
ejpam-6685	1	48	elisabeta	elisabeta	NOUN
ejpam-6685	1	49	antonescu5	antonescu5	VERB
ejpam-6685	1	50	1	1	NUM
ejpam-6685	1	51	department	department	NOUN
ejpam-6685	1	52	of	of	ADP
ejpam-6685	1	53	mathematics	mathematic	NOUN
ejpam-6685	1	54	,	,	PUNCT
ejpam-6685	1	55	faculty	faculty	NOUN
ejpam-6685	1	56	of	of	ADP
ejpam-6685	1	57	science	science	NOUN
ejpam-6685	1	58	,	,	PUNCT
ejpam-6685	1	59	king	king	NOUN
ejpam-6685	1	60	abdulaziz	abdulaziz	PROPN
ejpam-6685	1	61	university	university	PROPN
ejpam-6685	1	62	,	,	PUNCT
ejpam-6685	1	63	p.	p.	PROPN
ejpam-6685	1	64	o.	o.	PROPN
ejpam-6685	1	65	box	box	PROPN
ejpam-6685	1	66	80203	80203	NUM
ejpam-6685	1	67	,	,	PUNCT
ejpam-6685	1	68	jeddah	jeddah	PROPN
ejpam-6685	1	69	21589	21589	NUM
ejpam-6685	1	70	,	,	PUNCT
ejpam-6685	1	71	saudi	saudi	PROPN
ejpam-6685	1	72	arabia	arabia	PROPN
ejpam-6685	1	73	2	2	NUM
ejpam-6685	1	74	department	department	NOUN
ejpam-6685	1	75	of	of	ADP
ejpam-6685	1	76	mathematics	mathematic	NOUN
ejpam-6685	1	77	,	,	PUNCT
ejpam-6685	1	78	saveetha	saveetha	PROPN
ejpam-6685	1	79	school	school	PROPN
ejpam-6685	1	80	of	of	ADP
ejpam-6685	1	81	engineering	engineering	NOUN
ejpam-6685	1	82	,	,	PUNCT
ejpam-6685	1	83	simats	simat	NOUN
ejpam-6685	1	84	,	,	PUNCT
ejpam-6685	1	85	saveetha	saveetha	PROPN
ejpam-6685	1	86	university	university	PROPN
ejpam-6685	1	87	,	,	PUNCT
ejpam-6685	1	88	chennai	chennai	NOUN
ejpam-6685	1	89	602105	602105	NUM
ejpam-6685	1	90	,	,	PUNCT
ejpam-6685	1	91	tamil	tamil	PROPN
ejpam-6685	1	92	nadu	nadu	PROPN
ejpam-6685	1	93	,	,	PUNCT
ejpam-6685	1	94	india	india	PROPN
ejpam-6685	1	95	3	3	NUM
ejpam-6685	1	96	department	department	NOUN
ejpam-6685	1	97	of	of	ADP
ejpam-6685	1	98	mathematics	mathematics	PROPN
ejpam-6685	1	99	,	,	PUNCT
ejpam-6685	1	100	khazar	khazar	PROPN
ejpam-6685	1	101	university	university	NOUN
ejpam-6685	1	102	,	,	PUNCT
ejpam-6685	1	103	az1096	az1096	NOUN
ejpam-6685	1	104	,	,	PUNCT
ejpam-6685	1	105	baku	baku	PROPN
ejpam-6685	1	106	,	,	PUNCT
ejpam-6685	1	107	azerbaijan	azerbaijan	PROPN
ejpam-6685	1	108	4	4	NUM
ejpam-6685	1	109	institute	institute	PROPN
ejpam-6685	1	110	of	of	ADP
ejpam-6685	1	111	energy	energy	NOUN
ejpam-6685	1	112	infrastructure	infrastructure	NOUN
ejpam-6685	1	113	(	(	PUNCT
ejpam-6685	1	114	iei	iei	PROPN
ejpam-6685	1	115	)	)	PUNCT
ejpam-6685	1	116	,	,	PUNCT
ejpam-6685	1	117	department	department	NOUN
ejpam-6685	1	118	of	of	ADP
ejpam-6685	1	119	civil	civil	ADJ
ejpam-6685	1	120	engineering	engineering	NOUN
ejpam-6685	1	121	,	,	PUNCT
ejpam-6685	1	122	college	college	NOUN
ejpam-6685	1	123	of	of	ADP
ejpam-6685	1	124	engineering	engineering	PROPN
ejpam-6685	1	125	,	,	PUNCT
ejpam-6685	1	126	universiti	universiti	PROPN
ejpam-6685	1	127	tenaga	tenaga	PROPN
ejpam-6685	1	128	nasional	nasional	PROPN
ejpam-6685	1	129	(	(	PUNCT
ejpam-6685	1	130	uniten	uniten	PROPN
ejpam-6685	1	131	)	)	PUNCT
ejpam-6685	1	132	,	,	PUNCT
ejpam-6685	1	133	putrajaya	putrajaya	PROPN
ejpam-6685	1	134	campus	campus	PROPN
ejpam-6685	1	135	,	,	PUNCT
ejpam-6685	1	136	jalan	jalan	PROPN
ejpam-6685	1	137	ikram	ikram	PROPN
ejpam-6685	1	138	-	-	PUNCT
ejpam-6685	1	139	uniten	uniten	VERB
ejpam-6685	1	140	,	,	PUNCT
ejpam-6685	1	141	43000	43000	NUM
ejpam-6685	1	142	kajang	kajang	PROPN
ejpam-6685	1	143	,	,	PUNCT
ejpam-6685	1	144	selangor	selangor	PROPN
ejpam-6685	1	145	,	,	PUNCT
ejpam-6685	1	146	malaysia	malaysia	PROPN
ejpam-6685	1	147	5	5	NUM
ejpam-6685	1	148	preclinical	preclinical	ADJ
ejpam-6685	1	149	department	department	NOUN
ejpam-6685	1	150	faculty	faculty	NOUN
ejpam-6685	1	151	of	of	ADP
ejpam-6685	1	152	medicine	medicine	NOUN
ejpam-6685	1	153	,	,	PUNCT
ejpam-6685	1	154	lucian	lucian	PROPN
ejpam-6685	1	155	blaga	blaga	PROPN
ejpam-6685	1	156	university	university	PROPN
ejpam-6685	1	157	of	of	ADP
ejpam-6685	1	158	sibiu	sibiu	PROPN
ejpam-6685	1	159	,	,	PUNCT
ejpam-6685	1	160	sibiu	sibiu	PROPN
ejpam-6685	1	161	,	,	PUNCT
ejpam-6685	1	162	romania	romania	PROPN
ejpam-6685	1	163	abstract	abstract	NOUN
ejpam-6685	1	164	.	.	PUNCT
ejpam-6685	2	1	dengue	dengue	NOUN
ejpam-6685	2	2	fever	fever	NOUN
ejpam-6685	2	3	is	be	AUX
ejpam-6685	2	4	a	a	DET
ejpam-6685	2	5	viral	viral	ADJ
ejpam-6685	2	6	disease	disease	NOUN
ejpam-6685	2	7	that	that	PRON
ejpam-6685	2	8	presents	present	VERB
ejpam-6685	2	9	serious	serious	ADJ
ejpam-6685	2	10	public	public	ADJ
ejpam-6685	2	11	health	health	NOUN
ejpam-6685	2	12	challenges	challenge	NOUN
ejpam-6685	2	13	worldwide	worldwide	ADV
ejpam-6685	2	14	.	.	PUNCT
ejpam-6685	3	1	its	its	PRON
ejpam-6685	3	2	burden	burden	NOUN
ejpam-6685	3	3	is	be	AUX
ejpam-6685	3	4	especially	especially	ADV
ejpam-6685	3	5	pronounced	pronounce	VERB
ejpam-6685	3	6	in	in	ADP
ejpam-6685	3	7	resource	resource	NOUN
ejpam-6685	3	8	-	-	PUNCT
ejpam-6685	3	9	limited	limit	VERB
ejpam-6685	3	10	or	or	CCONJ
ejpam-6685	3	11	underserved	underserved	ADJ
ejpam-6685	3	12	regions	region	NOUN
ejpam-6685	3	13	,	,	PUNCT
ejpam-6685	3	14	where	where	SCONJ
ejpam-6685	3	15	it	it	PRON
ejpam-6685	3	16	leads	lead	VERB
ejpam-6685	3	17	to	to	ADP
ejpam-6685	3	18	considerable	considerable	ADJ
ejpam-6685	3	19	social	social	ADJ
ejpam-6685	3	20	and	and	CCONJ
ejpam-6685	3	21	economic	economic	ADJ
ejpam-6685	3	22	consequences	consequence	NOUN
ejpam-6685	3	23	.	.	PUNCT
ejpam-6685	4	1	in	in	ADP
ejpam-6685	4	2	this	this	DET
ejpam-6685	4	3	study	study	NOUN
ejpam-6685	4	4	,	,	PUNCT
ejpam-6685	4	5	we	we	PRON
ejpam-6685	4	6	model	model	VERB
ejpam-6685	4	7	the	the	DET
ejpam-6685	4	8	dynamics	dynamic	NOUN
ejpam-6685	4	9	of	of	ADP
ejpam-6685	4	10	dengue	dengue	NOUN
ejpam-6685	4	11	by	by	ADP
ejpam-6685	4	12	incorporating	incorporate	VERB
ejpam-6685	4	13	the	the	DET
ejpam-6685	4	14	effects	effect	NOUN
ejpam-6685	4	15	of	of	ADP
ejpam-6685	4	16	vaccination	vaccination	NOUN
ejpam-6685	4	17	and	and	CCONJ
ejpam-6685	4	18	treatment	treatment	NOUN
ejpam-6685	4	19	using	use	VERB
ejpam-6685	4	20	the	the	DET
ejpam-6685	4	21	fractal	fractal	ADJ
ejpam-6685	4	22	-	-	PUNCT
ejpam-6685	4	23	fractional	fractional	ADJ
ejpam-6685	4	24	caputo	caputo	PROPN
ejpam-6685	4	25	derivative	derivative	NOUN
ejpam-6685	4	26	.	.	PUNCT
ejpam-6685	5	1	additionally	additionally	ADV
ejpam-6685	5	2	,	,	PUNCT
ejpam-6685	5	3	a	a	DET
ejpam-6685	5	4	saturated	saturate	VERB
ejpam-6685	5	5	incidence	incidence	NOUN
ejpam-6685	5	6	rate	rate	NOUN
ejpam-6685	5	7	is	be	AUX
ejpam-6685	5	8	assumed	assume	VERB
ejpam-6685	5	9	to	to	PART
ejpam-6685	5	10	more	more	ADV
ejpam-6685	5	11	accurately	accurately	ADV
ejpam-6685	5	12	represent	represent	VERB
ejpam-6685	5	13	the	the	DET
ejpam-6685	5	14	dynamics	dynamic	NOUN
ejpam-6685	5	15	of	of	ADP
ejpam-6685	5	16	the	the	DET
ejpam-6685	5	17	infection	infection	NOUN
ejpam-6685	5	18	.	.	PUNCT
ejpam-6685	6	1	the	the	DET
ejpam-6685	6	2	basic	basic	ADJ
ejpam-6685	6	3	reproduction	reproduction	NOUN
ejpam-6685	6	4	number	number	NOUN
ejpam-6685	6	5	,	,	PUNCT
ejpam-6685	6	6	r0	r0	NOUN
ejpam-6685	6	7	,	,	PUNCT
ejpam-6685	6	8	is	be	AUX
ejpam-6685	6	9	derived	derive	VERB
ejpam-6685	6	10	using	use	VERB
ejpam-6685	6	11	the	the	DET
ejpam-6685	6	12	nextgeneration	nextgeneration	NOUN
ejpam-6685	6	13	matrix	matrix	NOUN
ejpam-6685	6	14	method	method	NOUN
ejpam-6685	6	15	to	to	PART
ejpam-6685	6	16	assess	assess	VERB
ejpam-6685	6	17	the	the	DET
ejpam-6685	6	18	potential	potential	NOUN
ejpam-6685	6	19	for	for	ADP
ejpam-6685	6	20	disease	disease	NOUN
ejpam-6685	6	21	persistence	persistence	NOUN
ejpam-6685	6	22	or	or	CCONJ
ejpam-6685	6	23	eradication	eradication	NOUN
ejpam-6685	6	24	.	.	PUNCT
ejpam-6685	7	1	numerical	numerical	ADJ
ejpam-6685	7	2	simulations	simulation	NOUN
ejpam-6685	7	3	,	,	PUNCT
ejpam-6685	7	4	conducted	conduct	VERB
ejpam-6685	7	5	using	use	VERB
ejpam-6685	7	6	a	a	DET
ejpam-6685	7	7	reliable	reliable	ADJ
ejpam-6685	7	8	computational	computational	ADJ
ejpam-6685	7	9	scheme	scheme	NOUN
ejpam-6685	7	10	,	,	PUNCT
ejpam-6685	7	11	evaluate	evaluate	VERB
ejpam-6685	7	12	the	the	DET
ejpam-6685	7	13	influence	influence	NOUN
ejpam-6685	7	14	of	of	ADP
ejpam-6685	7	15	various	various	ADJ
ejpam-6685	7	16	biological	biological	ADJ
ejpam-6685	7	17	and	and	CCONJ
ejpam-6685	7	18	intervention	intervention	NOUN
ejpam-6685	7	19	-	-	PUNCT
ejpam-6685	7	20	related	relate	VERB
ejpam-6685	7	21	parameters	parameter	NOUN
ejpam-6685	7	22	on	on	ADP
ejpam-6685	7	23	the	the	DET
ejpam-6685	7	24	outbreak	outbreak	NOUN
ejpam-6685	7	25	’s	’s	PART
ejpam-6685	7	26	progression	progression	NOUN
ejpam-6685	7	27	.	.	PUNCT
ejpam-6685	8	1	the	the	DET
ejpam-6685	8	2	results	result	NOUN
ejpam-6685	8	3	highlight	highlight	VERB
ejpam-6685	8	4	the	the	DET
ejpam-6685	8	5	critical	critical	ADJ
ejpam-6685	8	6	roles	role	NOUN
ejpam-6685	8	7	of	of	ADP
ejpam-6685	8	8	vaccination	vaccination	NOUN
ejpam-6685	8	9	,	,	PUNCT
ejpam-6685	8	10	transmission	transmission	NOUN
ejpam-6685	8	11	rate	rate	NOUN
ejpam-6685	8	12	,	,	PUNCT
ejpam-6685	8	13	and	and	CCONJ
ejpam-6685	8	14	treatment	treatment	NOUN
ejpam-6685	8	15	in	in	ADP
ejpam-6685	8	16	shaping	shape	VERB
ejpam-6685	8	17	the	the	DET
ejpam-6685	8	18	epidemic	epidemic	NOUN
ejpam-6685	8	19	curve	curve	NOUN
ejpam-6685	8	20	.	.	PUNCT
ejpam-6685	9	1	this	this	DET
ejpam-6685	9	2	analysis	analysis	NOUN
ejpam-6685	9	3	identifies	identify	VERB
ejpam-6685	9	4	key	key	ADJ
ejpam-6685	9	5	parameters	parameter	NOUN
ejpam-6685	9	6	that	that	SCONJ
ejpam-6685	9	7	most	most	ADJ
ejpam-6685	9	8	significantly	significantly	ADV
ejpam-6685	9	9	impact	impact	VERB
ejpam-6685	9	10	disease	disease	NOUN
ejpam-6685	9	11	dynamics	dynamic	NOUN
ejpam-6685	9	12	,	,	PUNCT
ejpam-6685	9	13	providing	provide	VERB
ejpam-6685	9	14	valuable	valuable	ADJ
ejpam-6685	9	15	insights	insight	NOUN
ejpam-6685	9	16	for	for	ADP
ejpam-6685	9	17	public	public	ADJ
ejpam-6685	9	18	health	health	NOUN
ejpam-6685	9	19	authorities	authority	NOUN
ejpam-6685	9	20	to	to	PART
ejpam-6685	9	21	optimize	optimize	VERB
ejpam-6685	9	22	intervention	intervention	NOUN
ejpam-6685	9	23	strategies	strategy	NOUN
ejpam-6685	9	24	aimed	aim	VERB
ejpam-6685	9	25	at	at	ADP
ejpam-6685	9	26	reducing	reduce	VERB
ejpam-6685	9	27	dengue	dengue	NOUN
ejpam-6685	9	28	transmission	transmission	NOUN
ejpam-6685	9	29	and	and	CCONJ
ejpam-6685	9	30	mitigating	mitigate	VERB
ejpam-6685	9	31	outbreak	outbreak	NOUN
ejpam-6685	9	32	severity	severity	NOUN
ejpam-6685	9	33	.	.	PUNCT
ejpam-6685	10	1	2020	2020	NUM
ejpam-6685	10	2	mathematics	mathematic	NOUN
ejpam-6685	10	3	subject	subject	NOUN
ejpam-6685	10	4	classifications	classification	NOUN
ejpam-6685	10	5	:	:	PUNCT
ejpam-6685	10	6	92d25	92d25	NUM
ejpam-6685	10	7	,	,	PUNCT
ejpam-6685	10	8	92d30	92d30	NUM
ejpam-6685	10	9	key	key	ADJ
ejpam-6685	10	10	words	word	NOUN
ejpam-6685	10	11	and	and	CCONJ
ejpam-6685	10	12	phrases	phrase	NOUN
ejpam-6685	10	13	:	:	PUNCT
ejpam-6685	10	14	dengue	dengue	NOUN
ejpam-6685	10	15	infection	infection	NOUN
ejpam-6685	10	16	,	,	PUNCT
ejpam-6685	10	17	fractal	fractal	ADJ
ejpam-6685	10	18	-	-	PUNCT
ejpam-6685	10	19	fractional	fractional	ADJ
ejpam-6685	10	20	dynamics	dynamic	NOUN
ejpam-6685	10	21	,	,	PUNCT
ejpam-6685	10	22	saturated	saturated	ADJ
ejpam-6685	10	23	incidence	incidence	NOUN
ejpam-6685	10	24	,	,	PUNCT
ejpam-6685	10	25	numerical	numerical	ADJ
ejpam-6685	10	26	analysis	analysis	NOUN
ejpam-6685	10	27	,	,	PUNCT
ejpam-6685	10	28	dynamical	dynamical	ADJ
ejpam-6685	10	29	behaviour	behaviour	NOUN
ejpam-6685	10	30	∗corresponding	∗corresponde	VERB
ejpam-6685	10	31	author	author	NOUN
ejpam-6685	10	32	.	.	PUNCT
ejpam-6685	11	1	doi	doi	NOUN
ejpam-6685	11	2	:	:	PUNCT
ejpam-6685	11	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6685	https://doi.org/10.29020/nybg.ejpam.v18i3.6685	ADJ
ejpam-6685	11	4	email	email	NOUN
ejpam-6685	11	5	addresses	address	NOUN
ejpam-6685	11	6	:	:	PUNCT
ejpam-6685	11	7	maalsulami2@kau.edu.sa	maalsulami2@kau.edu.sa	PROPN
ejpam-6685	11	8	(	(	PUNCT
ejpam-6685	11	9	m.	m.	NOUN
ejpam-6685	11	10	alsulami	alsulami	PROPN
ejpam-6685	11	11	)	)	PUNCT
ejpam-6685	11	12	,	,	PUNCT
ejpam-6685	11	13	rashid	rashid	PROPN
ejpam-6685	11	14	ash2000@yahoo.com	ash2000@yahoo.com	PROPN
ejpam-6685	11	15	(	(	PUNCT
ejpam-6685	11	16	r.	r.	PROPN
ejpam-6685	11	17	jan	jan	PROPN
ejpam-6685	11	18	)	)	PUNCT
ejpam-6685	11	19	,	,	PUNCT
ejpam-6685	11	20	elisabeta.antonescu@ulbsibiu.ro	elisabeta.antonescu@ulbsibiu.ro	NOUN
ejpam-6685	11	21	(	(	PUNCT
ejpam-6685	11	22	e.	e.	PROPN
ejpam-6685	11	23	antonescu	antonescu	PROPN
ejpam-6685	11	24	)	)	PUNCT
ejpam-6685	11	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6685	12	1	1	1	NUM
ejpam-6685	12	2	copyright	copyright	NOUN
ejpam-6685	12	3	:	:	PUNCT
ejpam-6685	12	4	©	©	PROPN
ejpam-6685	12	5	2025	2025	NUM
ejpam-6685	12	6	the	the	DET
ejpam-6685	12	7	author(s	author(s	NOUN
ejpam-6685	12	8	)	)	PUNCT
ejpam-6685	12	9	.	.	PUNCT
ejpam-6685	13	1	(	(	PUNCT
ejpam-6685	13	2	cc	cc	NOUN
ejpam-6685	13	3	by	by	ADP
ejpam-6685	13	4	-	-	PUNCT
ejpam-6685	13	5	nc	nc	PROPN
ejpam-6685	13	6	4.0	4.0	NUM
ejpam-6685	13	7	)	)	PUNCT
ejpam-6685	13	8	m.	m.	NOUN
ejpam-6685	13	9	alsulami	alsulami	NOUN
ejpam-6685	13	10	,	,	PUNCT
ejpam-6685	13	11	r.	r.	PROPN
ejpam-6685	13	12	jan	jan	PROPN
ejpam-6685	13	13	,	,	PUNCT
ejpam-6685	13	14	e.	e.	PROPN
ejpam-6685	13	15	antonescu	antonescu	PROPN
ejpam-6685	13	16	/	/	SYM
ejpam-6685	13	17	eur	eur	PROPN
ejpam-6685	13	18	.	.	PUNCT
ejpam-6685	14	1	j.	j.	PROPN
ejpam-6685	14	2	pure	pure	PROPN
ejpam-6685	14	3	appl	appl	PROPN
ejpam-6685	14	4	.	.	PROPN
ejpam-6685	14	5	math	math	PROPN
ejpam-6685	14	6	,	,	PUNCT
ejpam-6685	14	7	18	18	NUM
ejpam-6685	14	8	(	(	PUNCT
ejpam-6685	14	9	3	3	NUM
ejpam-6685	14	10	)	)	PUNCT
ejpam-6685	14	11	(	(	PUNCT
ejpam-6685	14	12	2025	2025	NUM
ejpam-6685	14	13	)	)	PUNCT
ejpam-6685	14	14	,	,	PUNCT
ejpam-6685	14	15	6685	6685	NUM
ejpam-6685	14	16	2	2	NUM
ejpam-6685	14	17	of	of	ADP
ejpam-6685	14	18	19	19	NUM
ejpam-6685	14	19	1	1	NUM
ejpam-6685	14	20	.	.	PUNCT
ejpam-6685	15	1	introduction	introduction	NOUN
ejpam-6685	15	2	dengue	dengue	NOUN
ejpam-6685	15	3	fever	fever	NOUN
ejpam-6685	15	4	is	be	AUX
ejpam-6685	15	5	a	a	DET
ejpam-6685	15	6	mosquito	mosquito	NOUN
ejpam-6685	15	7	-	-	PUNCT
ejpam-6685	15	8	borne	bear	VERB
ejpam-6685	15	9	infection	infection	NOUN
ejpam-6685	15	10	predominantly	predominantly	ADV
ejpam-6685	15	11	found	find	VERB
ejpam-6685	15	12	in	in	ADP
ejpam-6685	15	13	tropical	tropical	ADJ
ejpam-6685	15	14	areas	area	NOUN
ejpam-6685	15	15	.	.	PUNCT
ejpam-6685	16	1	an	an	DET
ejpam-6685	16	2	infected	infected	ADJ
ejpam-6685	16	3	female	female	ADJ
ejpam-6685	16	4	aedes	aedes	PROPN
ejpam-6685	16	5	mosquito	mosquito	PROPN
ejpam-6685	16	6	transmits	transmit	VERB
ejpam-6685	16	7	the	the	DET
ejpam-6685	16	8	virus	virus	NOUN
ejpam-6685	16	9	to	to	ADP
ejpam-6685	16	10	the	the	DET
ejpam-6685	16	11	blood	blood	NOUN
ejpam-6685	16	12	of	of	ADP
ejpam-6685	16	13	a	a	DET
ejpam-6685	16	14	human	human	ADJ
ejpam-6685	16	15	host	host	NOUN
ejpam-6685	16	16	during	during	ADP
ejpam-6685	16	17	feeding	feed	VERB
ejpam-6685	16	18	[	[	X
ejpam-6685	16	19	1	1	NUM
ejpam-6685	16	20	]	]	PUNCT
ejpam-6685	16	21	.	.	PUNCT
ejpam-6685	17	1	typical	typical	ADJ
ejpam-6685	17	2	symptoms	symptom	NOUN
ejpam-6685	17	3	of	of	ADP
ejpam-6685	17	4	dengue	dengue	NOUN
ejpam-6685	17	5	include	include	VERB
ejpam-6685	17	6	high	high	ADJ
ejpam-6685	17	7	-	-	PUNCT
ejpam-6685	17	8	grade	grade	NOUN
ejpam-6685	17	9	fever	fever	NOUN
ejpam-6685	17	10	,	,	PUNCT
ejpam-6685	17	11	severe	severe	ADJ
ejpam-6685	17	12	headaches	headache	NOUN
ejpam-6685	17	13	,	,	PUNCT
ejpam-6685	17	14	joint	joint	ADJ
ejpam-6685	17	15	and	and	CCONJ
ejpam-6685	17	16	muscle	muscle	NOUN
ejpam-6685	17	17	pain	pain	NOUN
ejpam-6685	17	18	,	,	PUNCT
ejpam-6685	17	19	skin	skin	NOUN
ejpam-6685	17	20	rashes	rash	NOUN
ejpam-6685	17	21	,	,	PUNCT
ejpam-6685	17	22	and	and	CCONJ
ejpam-6685	17	23	,	,	PUNCT
ejpam-6685	17	24	in	in	ADP
ejpam-6685	17	25	severe	severe	ADJ
ejpam-6685	17	26	cases	case	NOUN
ejpam-6685	17	27	,	,	PUNCT
ejpam-6685	17	28	bleeding	bleed	VERB
ejpam-6685	17	29	complications	complication	NOUN
ejpam-6685	17	30	.	.	PUNCT
ejpam-6685	18	1	it	it	PRON
ejpam-6685	18	2	is	be	AUX
ejpam-6685	18	3	worth	worth	ADJ
ejpam-6685	18	4	noting	note	VERB
ejpam-6685	18	5	that	that	SCONJ
ejpam-6685	18	6	rare	rare	ADJ
ejpam-6685	18	7	cases	case	NOUN
ejpam-6685	18	8	of	of	ADP
ejpam-6685	18	9	vertical	vertical	ADJ
ejpam-6685	18	10	transmission	transmission	NOUN
ejpam-6685	18	11	have	have	AUX
ejpam-6685	18	12	been	be	AUX
ejpam-6685	18	13	reported	report	VERB
ejpam-6685	18	14	in	in	ADP
ejpam-6685	18	15	both	both	DET
ejpam-6685	18	16	species	specie	NOUN
ejpam-6685	18	17	.	.	PUNCT
ejpam-6685	19	1	preventative	preventative	ADJ
ejpam-6685	19	2	measures	measure	NOUN
ejpam-6685	19	3	for	for	ADP
ejpam-6685	19	4	dengue	dengue	NOUN
ejpam-6685	19	5	infection	infection	NOUN
ejpam-6685	19	6	include	include	VERB
ejpam-6685	19	7	mosquito	mosquito	ADJ
ejpam-6685	19	8	control	control	NOUN
ejpam-6685	19	9	,	,	PUNCT
ejpam-6685	19	10	such	such	ADJ
ejpam-6685	19	11	as	as	ADP
ejpam-6685	19	12	the	the	DET
ejpam-6685	19	13	elimination	elimination	NOUN
ejpam-6685	19	14	of	of	ADP
ejpam-6685	19	15	breeding	breeding	NOUN
ejpam-6685	19	16	sites	site	NOUN
ejpam-6685	19	17	and	and	CCONJ
ejpam-6685	19	18	the	the	DET
ejpam-6685	19	19	use	use	NOUN
ejpam-6685	19	20	of	of	ADP
ejpam-6685	19	21	insect	insect	NOUN
ejpam-6685	19	22	repellents	repellent	NOUN
ejpam-6685	19	23	and	and	CCONJ
ejpam-6685	19	24	bed	bed	NOUN
ejpam-6685	19	25	nets	net	NOUN
ejpam-6685	19	26	[	[	X
ejpam-6685	19	27	2	2	NUM
ejpam-6685	19	28	,	,	PUNCT
ejpam-6685	19	29	3	3	NUM
ejpam-6685	19	30	]	]	PUNCT
ejpam-6685	19	31	.	.	PUNCT
ejpam-6685	20	1	there	there	PRON
ejpam-6685	20	2	is	be	VERB
ejpam-6685	20	3	ongoing	ongoing	ADJ
ejpam-6685	20	4	research	research	NOUN
ejpam-6685	20	5	into	into	ADP
ejpam-6685	20	6	the	the	DET
ejpam-6685	20	7	development	development	NOUN
ejpam-6685	20	8	of	of	ADP
ejpam-6685	20	9	vaccines	vaccine	NOUN
ejpam-6685	20	10	and	and	CCONJ
ejpam-6685	20	11	antiviral	antiviral	ADJ
ejpam-6685	20	12	treatments	treatment	NOUN
ejpam-6685	20	13	to	to	PART
ejpam-6685	20	14	combat	combat	VERB
ejpam-6685	20	15	dengue	dengue	NOUN
ejpam-6685	20	16	infection	infection	NOUN
ejpam-6685	20	17	.	.	PUNCT
ejpam-6685	21	1	dengue	dengue	NOUN
ejpam-6685	21	2	prevention	prevention	NOUN
ejpam-6685	21	3	strategies	strategy	NOUN
ejpam-6685	21	4	primarily	primarily	ADV
ejpam-6685	21	5	focus	focus	VERB
ejpam-6685	21	6	on	on	ADP
ejpam-6685	21	7	vector	vector	NOUN
ejpam-6685	21	8	control	control	NOUN
ejpam-6685	21	9	,	,	PUNCT
ejpam-6685	21	10	public	public	ADJ
ejpam-6685	21	11	education	education	NOUN
ejpam-6685	21	12	,	,	PUNCT
ejpam-6685	21	13	and	and	CCONJ
ejpam-6685	21	14	disease	disease	NOUN
ejpam-6685	21	15	surveillance	surveillance	NOUN
ejpam-6685	21	16	to	to	PART
ejpam-6685	21	17	reduce	reduce	VERB
ejpam-6685	21	18	viral	viral	ADJ
ejpam-6685	21	19	transmission	transmission	NOUN
ejpam-6685	21	20	.	.	PUNCT
ejpam-6685	22	1	it	it	PRON
ejpam-6685	22	2	is	be	AUX
ejpam-6685	22	3	widely	widely	ADV
ejpam-6685	22	4	recognized	recognize	VERB
ejpam-6685	22	5	that	that	SCONJ
ejpam-6685	22	6	no	no	DET
ejpam-6685	22	7	fully	fully	ADV
ejpam-6685	22	8	effective	effective	ADJ
ejpam-6685	22	9	vaccine	vaccine	NOUN
ejpam-6685	22	10	for	for	ADP
ejpam-6685	22	11	dengue	dengue	NOUN
ejpam-6685	22	12	fever	fever	NOUN
ejpam-6685	22	13	currently	currently	ADV
ejpam-6685	22	14	exists	exist	VERB
ejpam-6685	22	15	,	,	PUNCT
ejpam-6685	22	16	although	although	SCONJ
ejpam-6685	22	17	a	a	DET
ejpam-6685	22	18	partially	partially	ADV
ejpam-6685	22	19	effective	effective	ADJ
ejpam-6685	22	20	vaccine	vaccine	NOUN
ejpam-6685	22	21	is	be	AUX
ejpam-6685	22	22	available	available	ADJ
ejpam-6685	22	23	in	in	ADP
ejpam-6685	22	24	some	some	DET
ejpam-6685	22	25	regions	region	NOUN
ejpam-6685	22	26	[	[	X
ejpam-6685	22	27	4	4	NUM
ejpam-6685	22	28	,	,	PUNCT
ejpam-6685	22	29	5	5	NUM
ejpam-6685	22	30	]	]	PUNCT
ejpam-6685	22	31	.	.	PUNCT
ejpam-6685	23	1	additionally	additionally	ADV
ejpam-6685	23	2	,	,	PUNCT
ejpam-6685	23	3	various	various	ADJ
ejpam-6685	23	4	vaccines	vaccine	NOUN
ejpam-6685	23	5	for	for	ADP
ejpam-6685	23	6	dengue	dengue	NOUN
ejpam-6685	23	7	infection	infection	NOUN
ejpam-6685	23	8	have	have	AUX
ejpam-6685	23	9	been	be	AUX
ejpam-6685	23	10	developed	develop	VERB
ejpam-6685	23	11	and	and	CCONJ
ejpam-6685	23	12	are	be	AUX
ejpam-6685	23	13	undergoing	undergo	VERB
ejpam-6685	23	14	clinical	clinical	ADJ
ejpam-6685	23	15	testing	testing	NOUN
ejpam-6685	23	16	,	,	PUNCT
ejpam-6685	23	17	as	as	SCONJ
ejpam-6685	23	18	reported	report	VERB
ejpam-6685	23	19	in	in	ADP
ejpam-6685	23	20	references	reference	NOUN
ejpam-6685	23	21	[	[	X
ejpam-6685	23	22	6	6	NUM
ejpam-6685	23	23	,	,	PUNCT
ejpam-6685	23	24	7	7	NUM
ejpam-6685	23	25	]	]	PUNCT
ejpam-6685	23	26	.	.	PUNCT
ejpam-6685	24	1	consequently	consequently	ADV
ejpam-6685	24	2	,	,	PUNCT
ejpam-6685	24	3	alternative	alternative	ADJ
ejpam-6685	24	4	preventive	preventive	ADJ
ejpam-6685	24	5	measures	measure	NOUN
ejpam-6685	24	6	are	be	AUX
ejpam-6685	24	7	essential	essential	ADJ
ejpam-6685	24	8	to	to	PART
ejpam-6685	24	9	manage	manage	VERB
ejpam-6685	24	10	and	and	CCONJ
ejpam-6685	24	11	mitigate	mitigate	VERB
ejpam-6685	24	12	the	the	DET
ejpam-6685	24	13	prevalence	prevalence	NOUN
ejpam-6685	24	14	of	of	ADP
ejpam-6685	24	15	dengue	dengue	NOUN
ejpam-6685	24	16	infection	infection	NOUN
ejpam-6685	24	17	.	.	PUNCT
ejpam-6685	25	1	mathematical	mathematical	ADJ
ejpam-6685	25	2	innovations	innovation	NOUN
ejpam-6685	25	3	continue	continue	VERB
ejpam-6685	25	4	to	to	PART
ejpam-6685	25	5	facilitate	facilitate	VERB
ejpam-6685	25	6	the	the	DET
ejpam-6685	25	7	formulation	formulation	NOUN
ejpam-6685	25	8	,	,	PUNCT
ejpam-6685	25	9	analysis	analysis	NOUN
ejpam-6685	25	10	,	,	PUNCT
ejpam-6685	25	11	and	and	CCONJ
ejpam-6685	25	12	optimization	optimization	NOUN
ejpam-6685	25	13	of	of	ADP
ejpam-6685	25	14	complex	complex	ADJ
ejpam-6685	25	15	systems	system	NOUN
ejpam-6685	25	16	in	in	ADP
ejpam-6685	25	17	interdisciplinary	interdisciplinary	ADJ
ejpam-6685	25	18	scientific	scientific	ADJ
ejpam-6685	25	19	research	research	NOUN
ejpam-6685	25	20	[	[	X
ejpam-6685	25	21	8–10	8–10	NOUN
ejpam-6685	25	22	]	]	PUNCT
ejpam-6685	25	23	.	.	PUNCT
ejpam-6685	26	1	mathematical	mathematical	ADJ
ejpam-6685	26	2	models	model	NOUN
ejpam-6685	26	3	serve	serve	VERB
ejpam-6685	26	4	as	as	ADP
ejpam-6685	26	5	valuable	valuable	ADJ
ejpam-6685	26	6	tools	tool	NOUN
ejpam-6685	26	7	for	for	ADP
ejpam-6685	26	8	the	the	DET
ejpam-6685	26	9	exploration	exploration	NOUN
ejpam-6685	26	10	diseases	disease	NOUN
ejpam-6685	26	11	and	and	CCONJ
ejpam-6685	26	12	the	the	DET
ejpam-6685	26	13	introduction	introduction	NOUN
ejpam-6685	26	14	of	of	ADP
ejpam-6685	26	15	effective	effective	ADJ
ejpam-6685	26	16	strategies	strategy	NOUN
ejpam-6685	26	17	for	for	ADP
ejpam-6685	26	18	infection	infection	NOUN
ejpam-6685	26	19	control	control	NOUN
ejpam-6685	26	20	[	[	X
ejpam-6685	26	21	11	11	NUM
ejpam-6685	26	22	,	,	PUNCT
ejpam-6685	26	23	12	12	NUM
ejpam-6685	26	24	]	]	PUNCT
ejpam-6685	26	25	.	.	PUNCT
ejpam-6685	27	1	these	these	DET
ejpam-6685	27	2	models	model	NOUN
ejpam-6685	27	3	identify	identify	VERB
ejpam-6685	27	4	and	and	CCONJ
ejpam-6685	27	5	emphasize	emphasize	VERB
ejpam-6685	27	6	the	the	DET
ejpam-6685	27	7	most	most	ADV
ejpam-6685	27	8	critical	critical	ADJ
ejpam-6685	27	9	and	and	CCONJ
ejpam-6685	27	10	influential	influential	ADJ
ejpam-6685	27	11	factors	factor	NOUN
ejpam-6685	27	12	for	for	ADP
ejpam-6685	27	13	the	the	DET
ejpam-6685	27	14	spread	spread	NOUN
ejpam-6685	27	15	and	and	CCONJ
ejpam-6685	27	16	management	management	NOUN
ejpam-6685	27	17	[	[	X
ejpam-6685	27	18	13	13	NUM
ejpam-6685	27	19	]	]	PUNCT
ejpam-6685	27	20	.	.	PUNCT
ejpam-6685	28	1	over	over	ADP
ejpam-6685	28	2	the	the	DET
ejpam-6685	28	3	past	past	ADJ
ejpam-6685	28	4	decades	decade	NOUN
ejpam-6685	28	5	,	,	PUNCT
ejpam-6685	28	6	numerous	numerous	ADJ
ejpam-6685	28	7	models	model	NOUN
ejpam-6685	28	8	have	have	AUX
ejpam-6685	28	9	been	be	AUX
ejpam-6685	28	10	developed	develop	VERB
ejpam-6685	28	11	to	to	PART
ejpam-6685	28	12	investigate	investigate	VERB
ejpam-6685	28	13	the	the	DET
ejpam-6685	28	14	transmission	transmission	NOUN
ejpam-6685	28	15	dynamics	dynamic	NOUN
ejpam-6685	28	16	and	and	CCONJ
ejpam-6685	28	17	epidemiological	epidemiological	ADJ
ejpam-6685	28	18	characteristics	characteristic	NOUN
ejpam-6685	28	19	of	of	ADP
ejpam-6685	28	20	dengue	dengue	NOUN
ejpam-6685	28	21	[	[	X
ejpam-6685	28	22	14–20	14–20	NUM
ejpam-6685	28	23	]	]	PUNCT
ejpam-6685	28	24	.	.	PUNCT
ejpam-6685	29	1	lourdes	lourdes	PROPN
ejpam-6685	29	2	esteva	esteva	PROPN
ejpam-6685	29	3	,	,	PUNCT
ejpam-6685	29	4	for	for	ADP
ejpam-6685	29	5	instance	instance	NOUN
ejpam-6685	29	6	,	,	PUNCT
ejpam-6685	29	7	developed	develop	VERB
ejpam-6685	29	8	the	the	DET
ejpam-6685	29	9	foundational	foundational	ADJ
ejpam-6685	29	10	model	model	NOUN
ejpam-6685	29	11	for	for	ADP
ejpam-6685	29	12	dengue	dengue	NOUN
ejpam-6685	29	13	fever	fever	NOUN
ejpam-6685	29	14	,	,	PUNCT
ejpam-6685	29	15	exploring	explore	VERB
ejpam-6685	29	16	its	its	PRON
ejpam-6685	29	17	behavior	behavior	NOUN
ejpam-6685	29	18	within	within	ADP
ejpam-6685	29	19	a	a	DET
ejpam-6685	29	20	variable	variable	ADJ
ejpam-6685	29	21	human	human	ADJ
ejpam-6685	29	22	population	population	NOUN
ejpam-6685	30	1	[	[	X
ejpam-6685	30	2	14	14	NUM
ejpam-6685	30	3	,	,	PUNCT
ejpam-6685	30	4	15	15	NUM
ejpam-6685	30	5	]	]	PUNCT
ejpam-6685	30	6	.	.	PUNCT
ejpam-6685	31	1	in	in	ADP
ejpam-6685	31	2	1997	1997	NUM
ejpam-6685	31	3	,	,	PUNCT
ejpam-6685	31	4	researchers	researcher	NOUN
ejpam-6685	31	5	formulated	formulate	VERB
ejpam-6685	31	6	and	and	CCONJ
ejpam-6685	31	7	analyzed	analyze	VERB
ejpam-6685	31	8	a	a	DET
ejpam-6685	31	9	two	two	NUM
ejpam-6685	31	10	-	-	PUNCT
ejpam-6685	31	11	strain	strain	NOUN
ejpam-6685	31	12	model	model	NOUN
ejpam-6685	31	13	to	to	PART
ejpam-6685	31	14	better	well	ADV
ejpam-6685	31	15	understand	understand	VERB
ejpam-6685	31	16	the	the	DET
ejpam-6685	31	17	disease	disease	NOUN
ejpam-6685	31	18	dynamics	dynamic	NOUN
ejpam-6685	31	19	[	[	X
ejpam-6685	31	20	18	18	NUM
ejpam-6685	31	21	]	]	PUNCT
ejpam-6685	31	22	.	.	PUNCT
ejpam-6685	32	1	additionally	additionally	ADV
ejpam-6685	32	2	,	,	PUNCT
ejpam-6685	32	3	other	other	ADJ
ejpam-6685	32	4	researchers	researcher	NOUN
ejpam-6685	32	5	have	have	AUX
ejpam-6685	32	6	introduced	introduce	VERB
ejpam-6685	32	7	models	model	NOUN
ejpam-6685	32	8	for	for	ADP
ejpam-6685	32	9	dengue	dengue	NOUN
ejpam-6685	32	10	fever	fever	NOUN
ejpam-6685	32	11	and	and	CCONJ
ejpam-6685	32	12	investigated	investigate	VERB
ejpam-6685	32	13	the	the	DET
ejpam-6685	32	14	stability	stability	NOUN
ejpam-6685	32	15	of	of	ADP
ejpam-6685	32	16	their	their	PRON
ejpam-6685	32	17	systems	system	NOUN
ejpam-6685	32	18	,	,	PUNCT
ejpam-6685	32	19	as	as	SCONJ
ejpam-6685	32	20	documented	document	VERB
ejpam-6685	32	21	in	in	ADP
ejpam-6685	32	22	their	their	PRON
ejpam-6685	32	23	work	work	NOUN
ejpam-6685	32	24	[	[	X
ejpam-6685	32	25	16	16	NUM
ejpam-6685	32	26	,	,	PUNCT
ejpam-6685	32	27	20	20	NUM
ejpam-6685	32	28	]	]	PUNCT
ejpam-6685	32	29	.	.	PUNCT
ejpam-6685	33	1	furthermore	furthermore	ADV
ejpam-6685	33	2	,	,	PUNCT
ejpam-6685	33	3	researchers	researcher	NOUN
ejpam-6685	33	4	have	have	AUX
ejpam-6685	33	5	delved	delve	VERB
ejpam-6685	33	6	into	into	ADP
ejpam-6685	33	7	the	the	DET
ejpam-6685	33	8	dynamics	dynamic	NOUN
ejpam-6685	33	9	of	of	ADP
ejpam-6685	33	10	dengue	dengue	NOUN
ejpam-6685	33	11	,	,	PUNCT
ejpam-6685	33	12	considering	consider	VERB
ejpam-6685	33	13	the	the	DET
ejpam-6685	33	14	impact	impact	NOUN
ejpam-6685	33	15	of	of	ADP
ejpam-6685	33	16	vaccination	vaccination	NOUN
ejpam-6685	33	17	and	and	CCONJ
ejpam-6685	33	18	antibody	antibody	NOUN
ejpam-6685	33	19	-	-	PUNCT
ejpam-6685	33	20	dependent	dependent	ADJ
ejpam-6685	33	21	enhancement	enhancement	NOUN
ejpam-6685	33	22	(	(	PUNCT
ejpam-6685	33	23	ade	ade	NOUN
ejpam-6685	33	24	)	)	PUNCT
ejpam-6685	33	25	phenomena	phenomenon	NOUN
ejpam-6685	33	26	to	to	PART
ejpam-6685	33	27	gain	gain	VERB
ejpam-6685	33	28	insights	insight	NOUN
ejpam-6685	33	29	into	into	ADP
ejpam-6685	33	30	disease	disease	NOUN
ejpam-6685	33	31	transmission	transmission	NOUN
ejpam-6685	34	1	[	[	X
ejpam-6685	34	2	21–23	21–23	X
ejpam-6685	34	3	]	]	X
ejpam-6685	34	4	.	.	PUNCT
ejpam-6685	35	1	in	in	ADP
ejpam-6685	35	2	the	the	DET
ejpam-6685	35	3	existing	exist	VERB
ejpam-6685	35	4	literature	literature	NOUN
ejpam-6685	35	5	,	,	PUNCT
ejpam-6685	35	6	a	a	DET
ejpam-6685	35	7	common	common	ADJ
ejpam-6685	35	8	approach	approach	NOUN
ejpam-6685	35	9	to	to	PART
ejpam-6685	35	10	control	control	VERB
ejpam-6685	35	11	vector	vector	NOUN
ejpam-6685	35	12	-	-	PUNCT
ejpam-6685	35	13	borne	bear	VERB
ejpam-6685	35	14	diseases	disease	NOUN
ejpam-6685	35	15	involves	involve	VERB
ejpam-6685	35	16	two	two	NUM
ejpam-6685	35	17	primary	primary	ADJ
ejpam-6685	35	18	interventions	intervention	NOUN
ejpam-6685	35	19	:	:	PUNCT
ejpam-6685	35	20	one	one	NUM
ejpam-6685	35	21	targeting	target	VERB
ejpam-6685	35	22	human	human	ADJ
ejpam-6685	35	23	immunization	immunization	NOUN
ejpam-6685	35	24	and	and	CCONJ
ejpam-6685	35	25	the	the	DET
ejpam-6685	35	26	other	other	ADJ
ejpam-6685	35	27	focused	focus	VERB
ejpam-6685	35	28	on	on	ADP
ejpam-6685	35	29	mosquito	mosquito	ADJ
ejpam-6685	35	30	population	population	NOUN
ejpam-6685	35	31	reduction	reduction	NOUN
ejpam-6685	35	32	[	[	X
ejpam-6685	35	33	24–28	24–28	NUM
ejpam-6685	35	34	]	]	PUNCT
ejpam-6685	35	35	.	.	PUNCT
ejpam-6685	36	1	these	these	DET
ejpam-6685	36	2	models	model	NOUN
ejpam-6685	36	3	primarily	primarily	ADV
ejpam-6685	36	4	concentrate	concentrate	VERB
ejpam-6685	36	5	on	on	ADP
ejpam-6685	36	6	vaccination	vaccination	NOUN
ejpam-6685	36	7	,	,	PUNCT
ejpam-6685	36	8	larvicidal	larvicidal	NOUN
ejpam-6685	36	9	,	,	PUNCT
ejpam-6685	36	10	and	and	CCONJ
ejpam-6685	36	11	adulticidal	adulticidal	ADJ
ejpam-6685	36	12	measures	measure	NOUN
ejpam-6685	36	13	as	as	ADP
ejpam-6685	36	14	key	key	ADJ
ejpam-6685	36	15	strategies	strategy	NOUN
ejpam-6685	36	16	in	in	ADP
ejpam-6685	36	17	combating	combat	VERB
ejpam-6685	36	18	the	the	DET
ejpam-6685	36	19	disease	disease	NOUN
ejpam-6685	36	20	.	.	PUNCT
ejpam-6685	37	1	further	further	ADJ
ejpam-6685	37	2	advancements	advancement	NOUN
ejpam-6685	37	3	and	and	CCONJ
ejpam-6685	37	4	continued	continue	VERB
ejpam-6685	37	5	research	research	NOUN
ejpam-6685	37	6	are	be	AUX
ejpam-6685	37	7	essential	essential	ADJ
ejpam-6685	37	8	to	to	PART
ejpam-6685	37	9	effectively	effectively	ADV
ejpam-6685	37	10	capture	capture	VERB
ejpam-6685	37	11	and	and	CCONJ
ejpam-6685	37	12	manage	manage	VERB
ejpam-6685	37	13	the	the	DET
ejpam-6685	37	14	complex	complex	ADJ
ejpam-6685	37	15	dynamics	dynamic	NOUN
ejpam-6685	37	16	of	of	ADP
ejpam-6685	37	17	dengue	dengue	NOUN
ejpam-6685	37	18	fever	fever	NOUN
ejpam-6685	37	19	.	.	PUNCT
ejpam-6685	38	1	fractal	fractal	ADJ
ejpam-6685	38	2	dynamics	dynamic	NOUN
ejpam-6685	38	3	significantly	significantly	ADV
ejpam-6685	38	4	contribute	contribute	VERB
ejpam-6685	38	5	to	to	ADP
ejpam-6685	38	6	improving	improve	VERB
ejpam-6685	38	7	the	the	DET
ejpam-6685	38	8	realism	realism	NOUN
ejpam-6685	38	9	and	and	CCONJ
ejpam-6685	38	10	predictive	predictive	ADJ
ejpam-6685	38	11	capability	capability	NOUN
ejpam-6685	38	12	of	of	ADP
ejpam-6685	38	13	epidemic	epidemic	NOUN
ejpam-6685	38	14	models	model	NOUN
ejpam-6685	38	15	,	,	PUNCT
ejpam-6685	38	16	particularly	particularly	ADV
ejpam-6685	38	17	for	for	ADP
ejpam-6685	38	18	complex	complex	ADJ
ejpam-6685	38	19	infectious	infectious	ADJ
ejpam-6685	38	20	diseases	disease	NOUN
ejpam-6685	38	21	[	[	X
ejpam-6685	38	22	29–31	29–31	NOUN
ejpam-6685	38	23	]	]	PUNCT
ejpam-6685	38	24	.	.	PUNCT
ejpam-6685	39	1	however	however	ADV
ejpam-6685	39	2	,	,	PUNCT
ejpam-6685	39	3	the	the	DET
ejpam-6685	39	4	fractal	fractal	ADJ
ejpam-6685	39	5	-	-	PUNCT
ejpam-6685	39	6	fractional	fractional	ADJ
ejpam-6685	39	7	framework	framework	NOUN
ejpam-6685	39	8	is	be	AUX
ejpam-6685	39	9	more	more	ADV
ejpam-6685	39	10	comprehensive	comprehensive	ADJ
ejpam-6685	39	11	,	,	PUNCT
ejpam-6685	39	12	as	as	SCONJ
ejpam-6685	39	13	it	it	PRON
ejpam-6685	39	14	incorporates	incorporate	VERB
ejpam-6685	39	15	both	both	DET
ejpam-6685	39	16	memory	memory	NOUN
ejpam-6685	39	17	effects	effect	NOUN
ejpam-6685	39	18	and	and	CCONJ
ejpam-6685	39	19	spatial	spatial	ADJ
ejpam-6685	39	20	heterogeneity	heterogeneity	NOUN
ejpam-6685	39	21	.	.	PUNCT
ejpam-6685	40	1	the	the	DET
ejpam-6685	40	2	memory	memory	NOUN
ejpam-6685	40	3	effect	effect	NOUN
ejpam-6685	40	4	,	,	PUNCT
ejpam-6685	40	5	embedded	embed	VERB
ejpam-6685	40	6	in	in	ADP
ejpam-6685	40	7	fractional	fractional	ADJ
ejpam-6685	40	8	calculus	calculus	NOUN
ejpam-6685	40	9	,	,	PUNCT
ejpam-6685	40	10	allows	allow	VERB
ejpam-6685	40	11	the	the	DET
ejpam-6685	40	12	model	model	NOUN
ejpam-6685	40	13	to	to	PART
ejpam-6685	40	14	account	account	VERB
ejpam-6685	40	15	for	for	ADP
ejpam-6685	40	16	past	past	ADJ
ejpam-6685	40	17	states	state	NOUN
ejpam-6685	40	18	of	of	ADP
ejpam-6685	40	19	the	the	DET
ejpam-6685	40	20	system	system	NOUN
ejpam-6685	40	21	,	,	PUNCT
ejpam-6685	40	22	capturing	capture	VERB
ejpam-6685	40	23	long	long	ADJ
ejpam-6685	40	24	-	-	PUNCT
ejpam-6685	40	25	term	term	NOUN
ejpam-6685	40	26	biological	biological	ADJ
ejpam-6685	40	27	and	and	CCONJ
ejpam-6685	40	28	environmental	environmental	ADJ
ejpam-6685	40	29	influences	influence	NOUN
ejpam-6685	40	30	[	[	X
ejpam-6685	40	31	32–34	32–34	NUM
ejpam-6685	40	32	]	]	X
ejpam-6685	40	33	.	.	PUNCT
ejpam-6685	41	1	simultaneously	simultaneously	ADV
ejpam-6685	41	2	,	,	PUNCT
ejpam-6685	41	3	the	the	DET
ejpam-6685	41	4	fractal	fractal	ADJ
ejpam-6685	41	5	component	component	NOUN
ejpam-6685	41	6	reflects	reflect	VERB
ejpam-6685	41	7	the	the	DET
ejpam-6685	41	8	m.	m.	NOUN
ejpam-6685	41	9	alsulami	alsulami	NOUN
ejpam-6685	41	10	,	,	PUNCT
ejpam-6685	41	11	r.	r.	PROPN
ejpam-6685	41	12	jan	jan	PROPN
ejpam-6685	41	13	,	,	PUNCT
ejpam-6685	41	14	e.	e.	PROPN
ejpam-6685	41	15	antonescu	antonescu	PROPN
ejpam-6685	41	16	/	/	SYM
ejpam-6685	41	17	eur	eur	PROPN
ejpam-6685	41	18	.	.	PUNCT
ejpam-6685	42	1	j.	j.	PROPN
ejpam-6685	42	2	pure	pure	PROPN
ejpam-6685	42	3	appl	appl	PROPN
ejpam-6685	42	4	.	.	PROPN
ejpam-6685	42	5	math	math	PROPN
ejpam-6685	42	6	,	,	PUNCT
ejpam-6685	42	7	18	18	NUM
ejpam-6685	42	8	(	(	PUNCT
ejpam-6685	42	9	3	3	NUM
ejpam-6685	42	10	)	)	PUNCT
ejpam-6685	42	11	(	(	PUNCT
ejpam-6685	42	12	2025	2025	NUM
ejpam-6685	42	13	)	)	PUNCT
ejpam-6685	42	14	,	,	PUNCT
ejpam-6685	42	15	6685	6685	NUM
ejpam-6685	42	16	3	3	NUM
ejpam-6685	42	17	of	of	ADP
ejpam-6685	42	18	19	19	NUM
ejpam-6685	42	19	irregular	irregular	ADJ
ejpam-6685	42	20	,	,	PUNCT
ejpam-6685	42	21	self	self	NOUN
ejpam-6685	42	22	-	-	PUNCT
ejpam-6685	42	23	similar	similar	ADJ
ejpam-6685	42	24	structures	structure	NOUN
ejpam-6685	42	25	often	often	ADV
ejpam-6685	42	26	observed	observe	VERB
ejpam-6685	42	27	in	in	ADP
ejpam-6685	42	28	the	the	DET
ejpam-6685	42	29	spatial	spatial	ADJ
ejpam-6685	42	30	spread	spread	NOUN
ejpam-6685	42	31	of	of	ADP
ejpam-6685	42	32	infections	infection	NOUN
ejpam-6685	42	33	due	due	ADJ
ejpam-6685	42	34	to	to	ADP
ejpam-6685	42	35	varying	vary	VERB
ejpam-6685	42	36	human	human	ADJ
ejpam-6685	42	37	mobility	mobility	NOUN
ejpam-6685	42	38	patterns	pattern	NOUN
ejpam-6685	42	39	,	,	PUNCT
ejpam-6685	42	40	environmental	environmental	ADJ
ejpam-6685	42	41	factors	factor	NOUN
ejpam-6685	42	42	,	,	PUNCT
ejpam-6685	42	43	and	and	CCONJ
ejpam-6685	42	44	heterogeneous	heterogeneous	ADJ
ejpam-6685	42	45	population	population	NOUN
ejpam-6685	42	46	densities	density	NOUN
ejpam-6685	42	47	.	.	PUNCT
ejpam-6685	43	1	this	this	DET
ejpam-6685	43	2	dual	dual	ADJ
ejpam-6685	43	3	capability	capability	NOUN
ejpam-6685	43	4	makes	make	VERB
ejpam-6685	43	5	fractal	fractal	ADJ
ejpam-6685	43	6	-	-	PUNCT
ejpam-6685	43	7	fractional	fractional	ADJ
ejpam-6685	43	8	models	model	NOUN
ejpam-6685	43	9	highly	highly	ADV
ejpam-6685	43	10	adaptable	adaptable	ADJ
ejpam-6685	43	11	to	to	ADP
ejpam-6685	43	12	realworld	realworld	PROPN
ejpam-6685	43	13	data	data	PROPN
ejpam-6685	43	14	,	,	PUNCT
ejpam-6685	43	15	enabling	enable	VERB
ejpam-6685	43	16	them	they	PRON
ejpam-6685	43	17	to	to	PART
ejpam-6685	43	18	replicate	replicate	VERB
ejpam-6685	43	19	epidemic	epidemic	NOUN
ejpam-6685	43	20	curves	curve	NOUN
ejpam-6685	43	21	with	with	ADP
ejpam-6685	43	22	features	feature	NOUN
ejpam-6685	43	23	like	like	ADP
ejpam-6685	43	24	sub	sub	ADJ
ejpam-6685	43	25	-	-	ADJ
ejpam-6685	43	26	exponential	exponential	ADJ
ejpam-6685	43	27	growth	growth	NOUN
ejpam-6685	43	28	,	,	PUNCT
ejpam-6685	43	29	multiple	multiple	ADJ
ejpam-6685	43	30	waves	wave	NOUN
ejpam-6685	43	31	,	,	PUNCT
ejpam-6685	43	32	and	and	CCONJ
ejpam-6685	43	33	long	long	ADJ
ejpam-6685	43	34	tails	tail	NOUN
ejpam-6685	43	35	.	.	PUNCT
ejpam-6685	44	1	moreover	moreover	ADV
ejpam-6685	44	2	,	,	PUNCT
ejpam-6685	44	3	these	these	DET
ejpam-6685	44	4	models	model	NOUN
ejpam-6685	44	5	provide	provide	VERB
ejpam-6685	44	6	a	a	DET
ejpam-6685	44	7	generalized	generalize	VERB
ejpam-6685	44	8	framework	framework	NOUN
ejpam-6685	44	9	that	that	PRON
ejpam-6685	44	10	encompasses	encompass	VERB
ejpam-6685	44	11	classical	classical	ADJ
ejpam-6685	44	12	models	model	NOUN
ejpam-6685	44	13	as	as	ADP
ejpam-6685	44	14	special	special	ADJ
ejpam-6685	44	15	cases	case	NOUN
ejpam-6685	44	16	,	,	PUNCT
ejpam-6685	44	17	offering	offer	VERB
ejpam-6685	44	18	greater	great	ADJ
ejpam-6685	44	19	flexibility	flexibility	NOUN
ejpam-6685	44	20	in	in	ADP
ejpam-6685	44	21	parameter	parameter	NOUN
ejpam-6685	44	22	tuning	tuning	NOUN
ejpam-6685	44	23	and	and	CCONJ
ejpam-6685	44	24	scenario	scenario	NOUN
ejpam-6685	44	25	analysis	analysis	NOUN
ejpam-6685	44	26	.	.	PUNCT
ejpam-6685	45	1	their	their	PRON
ejpam-6685	45	2	ability	ability	NOUN
ejpam-6685	45	3	to	to	PART
ejpam-6685	45	4	simulate	simulate	VERB
ejpam-6685	45	5	the	the	DET
ejpam-6685	45	6	impact	impact	NOUN
ejpam-6685	45	7	of	of	ADP
ejpam-6685	45	8	vaccination	vaccination	NOUN
ejpam-6685	45	9	and	and	CCONJ
ejpam-6685	45	10	other	other	ADJ
ejpam-6685	45	11	control	control	NOUN
ejpam-6685	45	12	strategies	strategy	NOUN
ejpam-6685	45	13	over	over	ADP
ejpam-6685	45	14	time	time	NOUN
ejpam-6685	45	15	,	,	PUNCT
ejpam-6685	45	16	while	while	SCONJ
ejpam-6685	45	17	considering	consider	VERB
ejpam-6685	45	18	the	the	DET
ejpam-6685	45	19	cumulative	cumulative	ADJ
ejpam-6685	45	20	effect	effect	NOUN
ejpam-6685	45	21	of	of	ADP
ejpam-6685	45	22	past	past	ADJ
ejpam-6685	45	23	interventions	intervention	NOUN
ejpam-6685	45	24	,	,	PUNCT
ejpam-6685	45	25	makes	make	VERB
ejpam-6685	45	26	them	they	PRON
ejpam-6685	45	27	an	an	DET
ejpam-6685	45	28	invaluable	invaluable	ADJ
ejpam-6685	45	29	tool	tool	NOUN
ejpam-6685	45	30	for	for	ADP
ejpam-6685	45	31	public	public	ADJ
ejpam-6685	45	32	health	health	NOUN
ejpam-6685	45	33	planning	planning	NOUN
ejpam-6685	45	34	and	and	CCONJ
ejpam-6685	45	35	epidemic	epidemic	NOUN
ejpam-6685	45	36	management	management	NOUN
ejpam-6685	45	37	.	.	PUNCT
ejpam-6685	46	1	the	the	DET
ejpam-6685	46	2	structure	structure	NOUN
ejpam-6685	46	3	of	of	ADP
ejpam-6685	46	4	this	this	DET
ejpam-6685	46	5	research	research	NOUN
ejpam-6685	46	6	is	be	AUX
ejpam-6685	46	7	as	as	ADP
ejpam-6685	46	8	:	:	PUNCT
ejpam-6685	46	9	a	a	DET
ejpam-6685	46	10	mathematical	mathematical	ADJ
ejpam-6685	46	11	model	model	NOUN
ejpam-6685	46	12	describing	describe	VERB
ejpam-6685	46	13	the	the	DET
ejpam-6685	46	14	dynamics	dynamic	NOUN
ejpam-6685	46	15	of	of	ADP
ejpam-6685	46	16	dengue	dengue	NOUN
ejpam-6685	46	17	,	,	PUNCT
ejpam-6685	46	18	incorporating	incorporate	VERB
ejpam-6685	46	19	treatment	treatment	NOUN
ejpam-6685	46	20	and	and	CCONJ
ejpam-6685	46	21	vaccination	vaccination	NOUN
ejpam-6685	46	22	,	,	PUNCT
ejpam-6685	46	23	has	have	AUX
ejpam-6685	46	24	been	be	AUX
ejpam-6685	46	25	developed	develop	VERB
ejpam-6685	46	26	in	in	ADP
ejpam-6685	46	27	section	section	NOUN
ejpam-6685	46	28	2	2	NUM
ejpam-6685	46	29	.	.	PUNCT
ejpam-6685	47	1	in	in	ADP
ejpam-6685	47	2	section	section	NOUN
ejpam-6685	47	3	3	3	NUM
ejpam-6685	47	4	,	,	PUNCT
ejpam-6685	47	5	the	the	DET
ejpam-6685	47	6	foundational	foundational	ADJ
ejpam-6685	47	7	concepts	concept	NOUN
ejpam-6685	47	8	and	and	CCONJ
ejpam-6685	47	9	key	key	ADJ
ejpam-6685	47	10	properties	property	NOUN
ejpam-6685	47	11	of	of	ADP
ejpam-6685	47	12	the	the	DET
ejpam-6685	47	13	fractal	fractal	ADJ
ejpam-6685	47	14	-	-	PUNCT
ejpam-6685	47	15	fractional	fractional	ADJ
ejpam-6685	47	16	derivative	derivative	NOUN
ejpam-6685	47	17	are	be	AUX
ejpam-6685	47	18	introduced	introduce	VERB
ejpam-6685	47	19	.	.	PUNCT
ejpam-6685	48	1	in	in	ADP
ejpam-6685	48	2	section	section	NOUN
ejpam-6685	48	3	4	4	NUM
ejpam-6685	48	4	,	,	PUNCT
ejpam-6685	48	5	the	the	DET
ejpam-6685	48	6	threshold	threshold	NOUN
ejpam-6685	48	7	parameter	parameter	NOUN
ejpam-6685	48	8	of	of	ADP
ejpam-6685	48	9	the	the	DET
ejpam-6685	48	10	system	system	NOUN
ejpam-6685	48	11	is	be	AUX
ejpam-6685	48	12	determined	determine	VERB
ejpam-6685	48	13	.	.	PUNCT
ejpam-6685	49	1	a	a	DET
ejpam-6685	49	2	suitable	suitable	ADJ
ejpam-6685	49	3	numerical	numerical	ADJ
ejpam-6685	49	4	scheme	scheme	NOUN
ejpam-6685	49	5	for	for	ADP
ejpam-6685	49	6	solving	solve	VERB
ejpam-6685	49	7	the	the	DET
ejpam-6685	49	8	proposed	propose	VERB
ejpam-6685	49	9	fractal	fractal	ADJ
ejpam-6685	49	10	-	-	PUNCT
ejpam-6685	49	11	fractional	fractional	ADJ
ejpam-6685	49	12	model	model	NOUN
ejpam-6685	49	13	is	be	AUX
ejpam-6685	49	14	detailed	detail	VERB
ejpam-6685	49	15	in	in	ADP
ejpam-6685	49	16	section	section	NOUN
ejpam-6685	49	17	5	5	NUM
ejpam-6685	49	18	,	,	PUNCT
ejpam-6685	49	19	along	along	ADP
ejpam-6685	49	20	with	with	ADP
ejpam-6685	49	21	a	a	DET
ejpam-6685	49	22	comprehensive	comprehensive	ADJ
ejpam-6685	49	23	investigation	investigation	NOUN
ejpam-6685	49	24	of	of	ADP
ejpam-6685	49	25	the	the	DET
ejpam-6685	49	26	system	system	NOUN
ejpam-6685	49	27	’s	’s	PART
ejpam-6685	49	28	dynamical	dynamical	ADJ
ejpam-6685	49	29	behavior	behavior	NOUN
ejpam-6685	49	30	through	through	ADP
ejpam-6685	49	31	simulations	simulation	NOUN
ejpam-6685	49	32	.	.	PUNCT
ejpam-6685	50	1	finally	finally	ADV
ejpam-6685	50	2	,	,	PUNCT
ejpam-6685	50	3	the	the	DET
ejpam-6685	50	4	main	main	ADJ
ejpam-6685	50	5	findings	finding	NOUN
ejpam-6685	50	6	and	and	CCONJ
ejpam-6685	50	7	conclusions	conclusion	NOUN
ejpam-6685	50	8	are	be	AUX
ejpam-6685	50	9	summarized	summarize	VERB
ejpam-6685	50	10	in	in	ADP
ejpam-6685	50	11	the	the	DET
ejpam-6685	50	12	concluding	concluding	NOUN
ejpam-6685	50	13	section	section	NOUN
ejpam-6685	50	14	.	.	PUNCT
ejpam-6685	51	1	2	2	X
ejpam-6685	51	2	.	.	X
ejpam-6685	51	3	evaluation	evaluation	NOUN
ejpam-6685	51	4	of	of	ADP
ejpam-6685	51	5	the	the	DET
ejpam-6685	51	6	model	model	NOUN
ejpam-6685	51	7	let	let	VERB
ejpam-6685	51	8	the	the	DET
ejpam-6685	51	9	total	total	ADJ
ejpam-6685	51	10	populations	population	NOUN
ejpam-6685	51	11	of	of	ADP
ejpam-6685	51	12	vectors	vector	NOUN
ejpam-6685	51	13	and	and	CCONJ
ejpam-6685	51	14	hosts	host	NOUN
ejpam-6685	51	15	be	be	AUX
ejpam-6685	51	16	denoted	denote	VERB
ejpam-6685	51	17	by	by	ADP
ejpam-6685	51	18	nv	nv	PROPN
ejpam-6685	51	19	and	and	CCONJ
ejpam-6685	51	20	nh	nh	PROPN
ejpam-6685	51	21	,	,	PUNCT
ejpam-6685	51	22	respectively	respectively	ADV
ejpam-6685	51	23	.	.	PUNCT
ejpam-6685	52	1	the	the	DET
ejpam-6685	52	2	total	total	ADJ
ejpam-6685	52	3	female	female	ADJ
ejpam-6685	52	4	mosquito	mosquito	NOUN
ejpam-6685	52	5	population	population	NOUN
ejpam-6685	52	6	nv	nv	PROPN
ejpam-6685	52	7	is	be	AUX
ejpam-6685	52	8	classified	classify	VERB
ejpam-6685	52	9	into	into	ADP
ejpam-6685	52	10	susceptible	susceptible	ADJ
ejpam-6685	52	11	sv	sv	PROPN
ejpam-6685	52	12	and	and	CCONJ
ejpam-6685	52	13	infected	infect	VERB
ejpam-6685	52	14	iv	iv	NUM
ejpam-6685	52	15	vectors	vector	NOUN
ejpam-6685	52	16	.	.	PUNCT
ejpam-6685	53	1	similarly	similarly	ADV
ejpam-6685	53	2	,	,	PUNCT
ejpam-6685	53	3	the	the	DET
ejpam-6685	53	4	total	total	ADJ
ejpam-6685	53	5	host	host	NOUN
ejpam-6685	53	6	population	population	NOUN
ejpam-6685	53	7	nh	nh	PROPN
ejpam-6685	53	8	is	be	AUX
ejpam-6685	53	9	classified	classify	VERB
ejpam-6685	53	10	into	into	ADP
ejpam-6685	53	11	susceptible	susceptible	ADJ
ejpam-6685	53	12	sh	sh	PROPN
ejpam-6685	53	13	,	,	PUNCT
ejpam-6685	53	14	vaccinated	vaccinated	ADJ
ejpam-6685	53	15	vh	vh	PROPN
ejpam-6685	53	16	,	,	PUNCT
ejpam-6685	53	17	infected	infect	VERB
ejpam-6685	53	18	ih	ih	NOUN
ejpam-6685	53	19	,	,	PUNCT
ejpam-6685	53	20	and	and	CCONJ
ejpam-6685	53	21	recovered	recover	VERB
ejpam-6685	53	22	rh	rh	PROPN
ejpam-6685	53	23	individuals	individual	NOUN
ejpam-6685	53	24	.	.	PUNCT
ejpam-6685	54	1	we	we	PRON
ejpam-6685	54	2	also	also	ADV
ejpam-6685	54	3	supposed	suppose	VERB
ejpam-6685	54	4	that	that	SCONJ
ejpam-6685	54	5	both	both	CCONJ
ejpam-6685	54	6	the	the	DET
ejpam-6685	54	7	hosts	host	NOUN
ejpam-6685	54	8	and	and	CCONJ
ejpam-6685	54	9	vectors	vector	NOUN
ejpam-6685	54	10	experience	experience	VERB
ejpam-6685	54	11	natural	natural	ADJ
ejpam-6685	54	12	birth	birth	NOUN
ejpam-6685	54	13	and	and	CCONJ
ejpam-6685	54	14	death	death	NOUN
ejpam-6685	54	15	at	at	ADP
ejpam-6685	54	16	constant	constant	ADJ
ejpam-6685	54	17	rates	rate	NOUN
ejpam-6685	54	18	denoted	denote	VERB
ejpam-6685	54	19	by	by	ADP
ejpam-6685	54	20	µh	µh	NOUN
ejpam-6685	54	21	and	and	CCONJ
ejpam-6685	54	22	µv	µv	PROPN
ejpam-6685	54	23	,	,	PUNCT
ejpam-6685	54	24	respectively	respectively	ADV
ejpam-6685	54	25	.	.	PUNCT
ejpam-6685	55	1	the	the	DET
ejpam-6685	55	2	disease	disease	NOUN
ejpam-6685	55	3	-	-	PUNCT
ejpam-6685	55	4	induced	induce	VERB
ejpam-6685	55	5	mortality	mortality	NOUN
ejpam-6685	55	6	is	be	AUX
ejpam-6685	55	7	negligible	negligible	ADJ
ejpam-6685	55	8	and	and	CCONJ
ejpam-6685	55	9	thus	thus	ADV
ejpam-6685	55	10	excluded	exclude	VERB
ejpam-6685	55	11	from	from	ADP
ejpam-6685	55	12	the	the	DET
ejpam-6685	55	13	model	model	NOUN
ejpam-6685	55	14	.	.	PUNCT
ejpam-6685	56	1	to	to	PART
ejpam-6685	56	2	capture	capture	VERB
ejpam-6685	56	3	transmission	transmission	NOUN
ejpam-6685	56	4	dynamics	dynamic	NOUN
ejpam-6685	56	5	more	more	ADV
ejpam-6685	56	6	realistically	realistically	ADV
ejpam-6685	56	7	,	,	PUNCT
ejpam-6685	56	8	we	we	PRON
ejpam-6685	56	9	incorporate	incorporate	VERB
ejpam-6685	56	10	nonlinear	nonlinear	ADJ
ejpam-6685	56	11	forces	force	NOUN
ejpam-6685	56	12	of	of	ADP
ejpam-6685	56	13	infection	infection	NOUN
ejpam-6685	56	14	governed	govern	VERB
ejpam-6685	56	15	by	by	ADP
ejpam-6685	56	16	saturated	saturate	VERB
ejpam-6685	56	17	incidence	incidence	NOUN
ejpam-6685	56	18	rates	rate	NOUN
ejpam-6685	56	19	.	.	PUNCT
ejpam-6685	57	1	specifically	specifically	ADV
ejpam-6685	57	2	,	,	PUNCT
ejpam-6685	57	3	the	the	DET
ejpam-6685	57	4	transmission	transmission	NOUN
ejpam-6685	57	5	of	of	ADP
ejpam-6685	57	6	dengue	dengue	NOUN
ejpam-6685	57	7	from	from	ADP
ejpam-6685	57	8	iv	iv	NUM
ejpam-6685	57	9	to	to	PART
ejpam-6685	57	10	susceptible	susceptible	ADJ
ejpam-6685	57	11	and	and	CCONJ
ejpam-6685	57	12	vh	vh	PROPN
ejpam-6685	57	13	is	be	AUX
ejpam-6685	57	14	represented	represent	VERB
ejpam-6685	57	15	by	by	ADP
ejpam-6685	57	16	the	the	DET
ejpam-6685	57	17	terms	term	NOUN
ejpam-6685	57	18	bβ1	bβ1	VERB
ejpam-6685	57	19	1	1	NUM
ejpam-6685	57	20	+	+	NUM
ejpam-6685	57	21	αhiv	αhiv	PROPN
ejpam-6685	57	22	shiv	shiv	PROPN
ejpam-6685	57	23	and	and	CCONJ
ejpam-6685	57	24	bβ2	bβ2	NOUN
ejpam-6685	57	25	1	1	NUM
ejpam-6685	57	26	+	+	CCONJ
ejpam-6685	57	27	αhiv	αhiv	PROPN
ejpam-6685	57	28	vhiv	vhiv	NOUN
ejpam-6685	57	29	,	,	PUNCT
ejpam-6685	57	30	respectively	respectively	ADV
ejpam-6685	57	31	.	.	PUNCT
ejpam-6685	58	1	transmission	transmission	NOUN
ejpam-6685	58	2	from	from	ADP
ejpam-6685	58	3	infected	infected	ADJ
ejpam-6685	58	4	hosts	host	NOUN
ejpam-6685	58	5	to	to	PART
ejpam-6685	58	6	sv	sv	PROPN
ejpam-6685	58	7	is	be	AUX
ejpam-6685	58	8	modeled	model	VERB
ejpam-6685	58	9	by	by	ADP
ejpam-6685	58	10	bβ3	bβ3	NOUN
ejpam-6685	58	11	1	1	NUM
ejpam-6685	58	12	+	+	NUM
ejpam-6685	58	13	αvih	αvih	NOUN
ejpam-6685	58	14	svih	svih	NOUN
ejpam-6685	58	15	,	,	PUNCT
ejpam-6685	58	16	in	in	ADP
ejpam-6685	58	17	which	which	PRON
ejpam-6685	58	18	b	b	NOUN
ejpam-6685	58	19	is	be	AUX
ejpam-6685	58	20	the	the	DET
ejpam-6685	58	21	average	average	ADJ
ejpam-6685	58	22	biting	bite	VERB
ejpam-6685	58	23	rate	rate	NOUN
ejpam-6685	58	24	,	,	PUNCT
ejpam-6685	58	25	βi	βi	PROPN
ejpam-6685	58	26	(	(	PUNCT
ejpam-6685	58	27	for	for	ADP
ejpam-6685	58	28	i	i	PRON
ejpam-6685	58	29	=	=	SYM
ejpam-6685	58	30	1	1	NUM
ejpam-6685	58	31	,	,	PUNCT
ejpam-6685	58	32	2	2	NUM
ejpam-6685	58	33	,	,	PUNCT
ejpam-6685	58	34	3	3	NUM
ejpam-6685	58	35	)	)	PUNCT
ejpam-6685	58	36	are	be	AUX
ejpam-6685	58	37	the	the	DET
ejpam-6685	58	38	transmission	transmission	NOUN
ejpam-6685	58	39	probabilities	probability	NOUN
ejpam-6685	58	40	per	per	ADP
ejpam-6685	58	41	bite	bite	NOUN
ejpam-6685	58	42	,	,	PUNCT
ejpam-6685	58	43	and	and	CCONJ
ejpam-6685	58	44	αh	αh	NOUN
ejpam-6685	58	45	,	,	PUNCT
ejpam-6685	58	46	αv	αv	NOUN
ejpam-6685	58	47	are	be	AUX
ejpam-6685	58	48	the	the	DET
ejpam-6685	58	49	saturation	saturation	NOUN
ejpam-6685	58	50	parameters	parameter	NOUN
ejpam-6685	58	51	reflecting	reflect	VERB
ejpam-6685	58	52	behavioral	behavioral	ADJ
ejpam-6685	58	53	or	or	CCONJ
ejpam-6685	58	54	physiological	physiological	ADJ
ejpam-6685	58	55	limitations	limitation	NOUN
ejpam-6685	58	56	in	in	ADP
ejpam-6685	58	57	contact	contact	NOUN
ejpam-6685	58	58	rates	rate	NOUN
ejpam-6685	58	59	.	.	PUNCT
ejpam-6685	59	1	vaccination	vaccination	NOUN
ejpam-6685	59	2	is	be	AUX
ejpam-6685	59	3	assumed	assume	VERB
ejpam-6685	59	4	to	to	PART
ejpam-6685	59	5	confer	confer	VERB
ejpam-6685	59	6	immediate	immediate	ADJ
ejpam-6685	59	7	protection	protection	NOUN
ejpam-6685	59	8	to	to	ADP
ejpam-6685	59	9	a	a	DET
ejpam-6685	59	10	fraction	fraction	NOUN
ejpam-6685	59	11	p	p	NOUN
ejpam-6685	59	12	of	of	ADP
ejpam-6685	59	13	the	the	DET
ejpam-6685	59	14	susceptible	susceptible	ADJ
ejpam-6685	59	15	sh	sh	PROPN
ejpam-6685	59	16	,	,	PUNCT
ejpam-6685	59	17	who	who	PRON
ejpam-6685	59	18	transition	transition	VERB
ejpam-6685	59	19	to	to	ADP
ejpam-6685	59	20	the	the	DET
ejpam-6685	59	21	vaccinated	vaccinated	ADJ
ejpam-6685	59	22	class	class	NOUN
ejpam-6685	59	23	vh	vh	PROPN
ejpam-6685	59	24	.	.	PUNCT
ejpam-6685	60	1	additionally	additionally	ADV
ejpam-6685	60	2	,	,	PUNCT
ejpam-6685	60	3	m.	m.	NOUN
ejpam-6685	60	4	alsulami	alsulami	PROPN
ejpam-6685	60	5	,	,	PUNCT
ejpam-6685	60	6	r.	r.	PROPN
ejpam-6685	60	7	jan	jan	PROPN
ejpam-6685	60	8	,	,	PUNCT
ejpam-6685	60	9	e.	e.	PROPN
ejpam-6685	60	10	antonescu	antonescu	PROPN
ejpam-6685	60	11	/	/	SYM
ejpam-6685	60	12	eur	eur	PROPN
ejpam-6685	60	13	.	.	PUNCT
ejpam-6685	61	1	j.	j.	PROPN
ejpam-6685	61	2	pure	pure	PROPN
ejpam-6685	61	3	appl	appl	PROPN
ejpam-6685	61	4	.	.	PROPN
ejpam-6685	61	5	math	math	PROPN
ejpam-6685	61	6	,	,	PUNCT
ejpam-6685	61	7	18	18	NUM
ejpam-6685	61	8	(	(	PUNCT
ejpam-6685	61	9	3	3	NUM
ejpam-6685	61	10	)	)	PUNCT
ejpam-6685	61	11	(	(	PUNCT
ejpam-6685	61	12	2025	2025	NUM
ejpam-6685	61	13	)	)	PUNCT
ejpam-6685	61	14	,	,	PUNCT
ejpam-6685	61	15	6685	6685	NUM
ejpam-6685	61	16	4	4	NUM
ejpam-6685	61	17	of	of	ADP
ejpam-6685	61	18	19	19	NUM
ejpam-6685	61	19	it	it	PRON
ejpam-6685	61	20	is	be	AUX
ejpam-6685	61	21	assumed	assume	VERB
ejpam-6685	61	22	that	that	SCONJ
ejpam-6685	61	23	a	a	DET
ejpam-6685	61	24	fraction	fraction	NOUN
ejpam-6685	61	25	ν	ν	ADP
ejpam-6685	61	26	returns	return	NOUN
ejpam-6685	61	27	to	to	ADP
ejpam-6685	61	28	sh	sh	PROPN
ejpam-6685	61	29	after	after	ADP
ejpam-6685	61	30	losing	lose	VERB
ejpam-6685	61	31	immunity	immunity	NOUN
ejpam-6685	61	32	.	.	PUNCT
ejpam-6685	62	1	based	base	VERB
ejpam-6685	62	2	on	on	ADP
ejpam-6685	62	3	these	these	DET
ejpam-6685	62	4	assumptions	assumption	NOUN
ejpam-6685	62	5	,	,	PUNCT
ejpam-6685	62	6	the	the	DET
ejpam-6685	62	7	dynamics	dynamic	NOUN
ejpam-6685	62	8	of	of	ADP
ejpam-6685	62	9	dengue	dengue	NOUN
ejpam-6685	62	10	are	be	AUX
ejpam-6685	62	11	represented	represent	VERB
ejpam-6685	62	12	by:	by:	PROPN
ejpam-6685	62	13	dsh	dsh	ADJ
ejpam-6685	62	14	dt	dt	NOUN
ejpam-6685	62	15	=	=	PUNCT
ejpam-6685	62	16	λh	λh	ADP
ejpam-6685	62	17	−	−	PROPN
ejpam-6685	62	18	bβ1	bβ1	VERB
ejpam-6685	62	19	1+αhiv	1+αhiv	NUM
ejpam-6685	62	20	shiv	shiv	PROPN
ejpam-6685	62	21	−	−	PROPN
ejpam-6685	63	1	µhsh	µhsh	PROPN
ejpam-6685	63	2	−	−	PROPN
ejpam-6685	63	3	psh	psh	NOUN
ejpam-6685	63	4	+	+	CCONJ
ejpam-6685	63	5	υrh	υrh	NOUN
ejpam-6685	63	6	,	,	PUNCT
ejpam-6685	63	7	dvh	dvh	NOUN
ejpam-6685	63	8	dt	dt	NOUN
ejpam-6685	63	9	=	=	PUNCT
ejpam-6685	63	10	psh	psh	NOUN
ejpam-6685	63	11	−	−	PROPN
ejpam-6685	63	12	bβ2	bβ2	NOUN
ejpam-6685	64	1	1+αhiv	1+αhiv	NUM
ejpam-6685	65	1	vhiv	vhiv	NOUN
ejpam-6685	65	2	−	−	PROPN
ejpam-6685	65	3	µhvh	µhvh	PROPN
ejpam-6685	65	4	,	,	PUNCT
ejpam-6685	65	5	dih	dih	NOUN
ejpam-6685	65	6	dt	dt	NOUN
ejpam-6685	65	7	=	=	PRON
ejpam-6685	65	8	bβ1	bβ1	VERB
ejpam-6685	65	9	1+αhiv	1+αhiv	NUM
ejpam-6685	65	10	shiv	shiv	PROPN
ejpam-6685	65	11	+	+	CCONJ
ejpam-6685	65	12	bβ2	bβ2	NOUN
ejpam-6685	65	13	1+αhiv	1+αhiv	NUM
ejpam-6685	66	1	vhiv	vhiv	NOUN
ejpam-6685	66	2	−	−	PROPN
ejpam-6685	67	1	(	(	PUNCT
ejpam-6685	67	2	µh	µh	INTJ
ejpam-6685	67	3	+	+	X
ejpam-6685	68	1	γh	γh	X
ejpam-6685	69	1	+	+	CCONJ
ejpam-6685	70	1	τ)ih	τ)ih	PROPN
ejpam-6685	70	2	,	,	PUNCT
ejpam-6685	70	3	drh	drh	PROPN
ejpam-6685	70	4	dt	dt	NOUN
ejpam-6685	71	1	=	=	PUNCT
ejpam-6685	71	2	γhih	γhih	PROPN
ejpam-6685	71	3	+	+	CCONJ
ejpam-6685	71	4	τih	τih	NOUN
ejpam-6685	71	5	−	−	PROPN
ejpam-6685	71	6	υrh	υrh	NOUN
ejpam-6685	71	7	−	−	PROPN
ejpam-6685	71	8	µhrh	µhrh	PROPN
ejpam-6685	71	9	,	,	PUNCT
ejpam-6685	71	10	dsv	dsv	PROPN
ejpam-6685	71	11	dt	dt	PROPN
ejpam-6685	71	12	=	=	SYM
ejpam-6685	72	1	λv	λv	PROPN
ejpam-6685	72	2	−	−	PROPN
ejpam-6685	72	3	β3b	β3b	ADJ
ejpam-6685	72	4	1+αvih	1+αvih	ADJ
ejpam-6685	72	5	svih	svih	NOUN
ejpam-6685	72	6	−	−	NOUN
ejpam-6685	72	7	µvsv	µvsv	ADJ
ejpam-6685	72	8	,	,	PUNCT
ejpam-6685	72	9	div	div	X
ejpam-6685	72	10	dt	dt	NOUN
ejpam-6685	72	11	=	=	PUNCT
ejpam-6685	72	12	bβ3	bβ3	NOUN
ejpam-6685	72	13	1+αvih	1+αvih	NUM
ejpam-6685	72	14	svih	svih	PROPN
ejpam-6685	72	15	−	−	PROPN
ejpam-6685	72	16	µviv	µviv	NOUN
ejpam-6685	72	17	,	,	PUNCT
ejpam-6685	72	18	(	(	PUNCT
ejpam-6685	72	19	1	1	X
ejpam-6685	72	20	)	)	PUNCT
ejpam-6685	72	21	with	with	ADP
ejpam-6685	72	22	the	the	DET
ejpam-6685	72	23	following	follow	VERB
ejpam-6685	72	24	0	0	NUM
ejpam-6685	72	25	≤	≤	NUM
ejpam-6685	72	26	sv(0	sv(0	NOUN
ejpam-6685	72	27	)	)	PUNCT
ejpam-6685	72	28	,	,	PUNCT
ejpam-6685	72	29	0	0	NUM
ejpam-6685	72	30	≤	≤	PROPN
ejpam-6685	72	31	iv(0	iv(0	NOUN
ejpam-6685	72	32	)	)	PUNCT
ejpam-6685	72	33	,	,	PUNCT
ejpam-6685	72	34	0	0	NUM
ejpam-6685	72	35	≤	≤	NUM
ejpam-6685	73	1	sh(0	sh(0	NOUN
ejpam-6685	73	2	)	)	PUNCT
ejpam-6685	73	3	,	,	PUNCT
ejpam-6685	73	4	0	0	NUM
ejpam-6685	73	5	≤	≤	NUM
ejpam-6685	73	6	vh(0	vh(0	NOUN
ejpam-6685	73	7	)	)	PUNCT
ejpam-6685	73	8	,	,	PUNCT
ejpam-6685	73	9	0	0	NUM
ejpam-6685	73	10	≤	≤	NUM
ejpam-6685	73	11	ih(0	ih(0	NOUN
ejpam-6685	73	12	)	)	PUNCT
ejpam-6685	73	13	,	,	PUNCT
ejpam-6685	73	14	0	0	NUM
ejpam-6685	73	15	≤	≤	NUM
ejpam-6685	73	16	rh(0	rh(0	NOUN
ejpam-6685	73	17	)	)	PUNCT
ejpam-6685	73	18	,	,	PUNCT
ejpam-6685	74	1	where	where	SCONJ
ejpam-6685	74	2	the	the	DET
ejpam-6685	74	3	parameter	parameter	NOUN
ejpam-6685	74	4	αh	αh	ADP
ejpam-6685	74	5	∈	∈	PROPN
ejpam-6685	75	1	[	[	X
ejpam-6685	75	2	0	0	NUM
ejpam-6685	75	3	,	,	PUNCT
ejpam-6685	75	4	1	1	NUM
ejpam-6685	75	5	]	]	PUNCT
ejpam-6685	75	6	symbolize	symbolize	VERB
ejpam-6685	75	7	the	the	DET
ejpam-6685	75	8	responsiveness	responsiveness	NOUN
ejpam-6685	75	9	rate	rate	NOUN
ejpam-6685	75	10	of	of	ADP
ejpam-6685	75	11	antibodies	antibody	NOUN
ejpam-6685	75	12	produced	produce	VERB
ejpam-6685	75	13	in	in	ADP
ejpam-6685	75	14	humans	human	NOUN
ejpam-6685	75	15	in	in	ADP
ejpam-6685	75	16	reaction	reaction	NOUN
ejpam-6685	75	17	to	to	ADP
ejpam-6685	75	18	antigens	antigen	NOUN
ejpam-6685	75	19	introduced	introduce	VERB
ejpam-6685	75	20	by	by	ADP
ejpam-6685	75	21	infectious	infectious	ADJ
ejpam-6685	75	22	vectors	vector	NOUN
ejpam-6685	75	23	,	,	PUNCT
ejpam-6685	75	24	while	while	SCONJ
ejpam-6685	75	25	αv	αv	PROPN
ejpam-6685	75	26	∈	∈	PROPN
ejpam-6685	76	1	[	[	X
ejpam-6685	76	2	0	0	NUM
ejpam-6685	76	3	,	,	PUNCT
ejpam-6685	76	4	1	1	NUM
ejpam-6685	76	5	]	]	PUNCT
ejpam-6685	76	6	denotes	denote	VERB
ejpam-6685	76	7	the	the	DET
ejpam-6685	76	8	rate	rate	NOUN
ejpam-6685	76	9	at	at	ADP
ejpam-6685	76	10	which	which	PRON
ejpam-6685	76	11	antibodies	antibody	NOUN
ejpam-6685	76	12	are	be	AUX
ejpam-6685	76	13	generated	generate	VERB
ejpam-6685	76	14	in	in	ADP
ejpam-6685	76	15	vectors	vector	NOUN
ejpam-6685	76	16	upon	upon	SCONJ
ejpam-6685	76	17	contact	contact	NOUN
ejpam-6685	76	18	with	with	ADP
ejpam-6685	76	19	antigens	antigen	NOUN
ejpam-6685	76	20	from	from	ADP
ejpam-6685	76	21	infectious	infectious	ADJ
ejpam-6685	76	22	human	human	ADJ
ejpam-6685	76	23	hosts	host	NOUN
ejpam-6685	76	24	.	.	PUNCT
ejpam-6685	77	1	in	in	ADP
ejpam-6685	77	2	the	the	DET
ejpam-6685	77	3	subsequent	subsequent	ADJ
ejpam-6685	77	4	analysis	analysis	NOUN
ejpam-6685	77	5	,	,	PUNCT
ejpam-6685	77	6	we	we	PRON
ejpam-6685	77	7	investigate	investigate	VERB
ejpam-6685	77	8	the	the	DET
ejpam-6685	77	9	recommended	recommend	VERB
ejpam-6685	77	10	model	model	NOUN
ejpam-6685	77	11	(	(	PUNCT
ejpam-6685	77	12	1	1	NUM
ejpam-6685	77	13	)	)	PUNCT
ejpam-6685	77	14	of	of	ADP
ejpam-6685	77	15	dengue	dengue	NOUN
ejpam-6685	77	16	for	for	ADP
ejpam-6685	77	17	biologically	biologically	ADV
ejpam-6685	77	18	feasible	feasible	ADJ
ejpam-6685	77	19	region	region	NOUN
ejpam-6685	77	20	.	.	PUNCT
ejpam-6685	78	1	theorem	theorem	NOUN
ejpam-6685	78	2	1	1	NUM
ejpam-6685	78	3	.	.	PUNCT
ejpam-6685	79	1	the	the	DET
ejpam-6685	79	2	closed	closed	ADJ
ejpam-6685	79	3	set	set	NOUN
ejpam-6685	79	4	defined	define	VERB
ejpam-6685	79	5	by	by	ADP
ejpam-6685	79	6	ω	ω	PROPN
ejpam-6685	79	7	=	=	SYM
ejpam-6685	79	8	{	{	PUNCT
ejpam-6685	79	9	(	(	PUNCT
ejpam-6685	79	10	sh	sh	PROPN
ejpam-6685	79	11	,	,	PUNCT
ejpam-6685	79	12	vh	vh	PROPN
ejpam-6685	79	13	,	,	PUNCT
ejpam-6685	79	14	ih	ih	X
ejpam-6685	79	15	,	,	PUNCT
ejpam-6685	79	16	rh	rh	PROPN
ejpam-6685	79	17	,	,	PUNCT
ejpam-6685	79	18	sv	sv	PROPN
ejpam-6685	79	19	,	,	PUNCT
ejpam-6685	79	20	iv	iv	X
ejpam-6685	79	21	)	)	PUNCT
ejpam-6685	79	22	∈	∈	PROPN
ejpam-6685	79	23	r6	r6	NOUN
ejpam-6685	79	24	+	+	CCONJ
ejpam-6685	79	25	:	:	SYM
ejpam-6685	79	26	0	0	NUM
ejpam-6685	79	27	≤	≤	NUM
ejpam-6685	79	28	sh	sh	VERB
ejpam-6685	79	29	+	+	X
ejpam-6685	79	30	vh	vh	PROPN
ejpam-6685	80	1	+	+	CCONJ
ejpam-6685	80	2	ih	ih	PRON
ejpam-6685	80	3	+	+	CCONJ
ejpam-6685	80	4	rh	rh	PROPN
ejpam-6685	80	5	≤	≤	NOUN
ejpam-6685	80	6	λh	λh	ADP
ejpam-6685	80	7	µh	µh	ADV
ejpam-6685	80	8	,	,	PUNCT
ejpam-6685	80	9	0	0	NUM
ejpam-6685	80	10	≤	≤	NUM
ejpam-6685	80	11	sv	sv	X
ejpam-6685	81	1	+	+	NUM
ejpam-6685	81	2	iv	iv	NUM
ejpam-6685	81	3	≤	≤	NOUN
ejpam-6685	81	4	λv	λv	ADP
ejpam-6685	81	5	µv	µv	PROPN
ejpam-6685	81	6	}	}	PUNCT
ejpam-6685	81	7	is	be	AUX
ejpam-6685	81	8	a	a	DET
ejpam-6685	81	9	positive	positive	ADJ
ejpam-6685	81	10	invariant	invariant	ADJ
ejpam-6685	81	11	set	set	NOUN
ejpam-6685	81	12	for	for	ADP
ejpam-6685	81	13	the	the	DET
ejpam-6685	81	14	recommended	recommend	VERB
ejpam-6685	81	15	dengue	dengue	NOUN
ejpam-6685	81	16	system	system	NOUN
ejpam-6685	81	17	(	(	PUNCT
ejpam-6685	81	18	2	2	NUM
ejpam-6685	81	19	)	)	PUNCT
ejpam-6685	81	20	.	.	PUNCT
ejpam-6685	82	1	the	the	DET
ejpam-6685	82	2	incorporation	incorporation	NOUN
ejpam-6685	82	3	of	of	ADP
ejpam-6685	82	4	fractal	fractal	ADJ
ejpam-6685	82	5	-	-	PUNCT
ejpam-6685	82	6	fractional	fractional	ADJ
ejpam-6685	82	7	dynamics	dynamic	NOUN
ejpam-6685	82	8	into	into	ADP
ejpam-6685	82	9	the	the	DET
ejpam-6685	82	10	modeling	modeling	NOUN
ejpam-6685	82	11	of	of	ADP
ejpam-6685	82	12	dengue	dengue	NOUN
ejpam-6685	82	13	fever	fever	NOUN
ejpam-6685	82	14	offers	offer	VERB
ejpam-6685	82	15	a	a	DET
ejpam-6685	82	16	powerful	powerful	ADJ
ejpam-6685	82	17	and	and	CCONJ
ejpam-6685	82	18	comprehensive	comprehensive	ADJ
ejpam-6685	82	19	framework	framework	NOUN
ejpam-6685	82	20	for	for	ADP
ejpam-6685	82	21	capturing	capture	VERB
ejpam-6685	82	22	the	the	DET
ejpam-6685	82	23	complex	complex	ADJ
ejpam-6685	82	24	,	,	PUNCT
ejpam-6685	82	25	memorydependent	memorydependent	ADJ
ejpam-6685	82	26	processes	process	VERB
ejpam-6685	82	27	inherent	inherent	ADJ
ejpam-6685	82	28	in	in	ADP
ejpam-6685	82	29	disease	disease	NOUN
ejpam-6685	82	30	transmission	transmission	NOUN
ejpam-6685	82	31	.	.	PUNCT
ejpam-6685	83	1	fractal	fractal	ADJ
ejpam-6685	83	2	-	-	PUNCT
ejpam-6685	83	3	fractional	fractional	ADJ
ejpam-6685	83	4	models	model	NOUN
ejpam-6685	83	5	account	account	VERB
ejpam-6685	83	6	for	for	ADP
ejpam-6685	83	7	the	the	DET
ejpam-6685	83	8	non	non	ADJ
ejpam-6685	83	9	-	-	ADJ
ejpam-6685	83	10	local	local	ADJ
ejpam-6685	83	11	behavior	behavior	NOUN
ejpam-6685	83	12	and	and	CCONJ
ejpam-6685	83	13	long	long	ADJ
ejpam-6685	83	14	-	-	PUNCT
ejpam-6685	83	15	term	term	NOUN
ejpam-6685	83	16	memory	memory	NOUN
ejpam-6685	83	17	effects	effect	NOUN
ejpam-6685	83	18	present	present	ADJ
ejpam-6685	83	19	in	in	ADP
ejpam-6685	83	20	both	both	DET
ejpam-6685	83	21	host	host	NOUN
ejpam-6685	83	22	and	and	CCONJ
ejpam-6685	83	23	vector	vector	NOUN
ejpam-6685	83	24	populations	population	NOUN
ejpam-6685	83	25	.	.	PUNCT
ejpam-6685	84	1	thus	thus	ADV
ejpam-6685	84	2	,	,	PUNCT
ejpam-6685	84	3	we	we	PRON
ejpam-6685	84	4	represent	represent	VERB
ejpam-6685	84	5	the	the	DET
ejpam-6685	84	6	proposed	propose	VERB
ejpam-6685	84	7	dynamics	dynamic	NOUN
ejpam-6685	84	8	through	through	ADP
ejpam-6685	84	9	fractal	fractal	ADJ
ejpam-6685	84	10	-	-	PUNCT
ejpam-6685	84	11	fractional	fractional	ADJ
ejpam-6685	84	12	derivative	derivative	NOUN
ejpam-6685	84	13	as	as	PROPN
ejpam-6685	85	1	ff	ff	NOUN
ejpam-6685	85	2	0	0	NUM
ejpam-6685	86	1	dρ	dρ	PROPN
ejpam-6685	86	2	,	,	PUNCT
ejpam-6685	86	3	κ	κ	PROPN
ejpam-6685	86	4	t	t	NOUN
ejpam-6685	86	5	sh	sh	PROPN
ejpam-6685	87	1	=	=	PUNCT
ejpam-6685	87	2	λh	λh	ADP
ejpam-6685	87	3	−	−	PROPN
ejpam-6685	87	4	bβ1	bβ1	VERB
ejpam-6685	87	5	1+αhiv	1+αhiv	NUM
ejpam-6685	87	6	shiv	shiv	PROPN
ejpam-6685	88	1	−	−	PROPN
ejpam-6685	88	2	µhsh	µhsh	PROPN
ejpam-6685	88	3	−	−	PROPN
ejpam-6685	88	4	psh	psh	NOUN
ejpam-6685	88	5	+	+	CCONJ
ejpam-6685	88	6	υrh	υrh	NOUN
ejpam-6685	88	7	,	,	PUNCT
ejpam-6685	88	8	ff	ff	NOUN
ejpam-6685	88	9	0	0	NUM
ejpam-6685	89	1	dρ	dρ	PROPN
ejpam-6685	89	2	,	,	PUNCT
ejpam-6685	89	3	κ	κ	PROPN
ejpam-6685	89	4	t	t	PROPN
ejpam-6685	89	5	vh	vh	PROPN
ejpam-6685	90	1	=	=	PROPN
ejpam-6685	90	2	psh	psh	PROPN
ejpam-6685	90	3	−	−	PROPN
ejpam-6685	90	4	bβ2	bβ2	NOUN
ejpam-6685	90	5	1+αhiv	1+αhiv	NUM
ejpam-6685	91	1	vhiv	vhiv	NOUN
ejpam-6685	92	1	−	−	PROPN
ejpam-6685	92	2	µhvh	µhvh	PROPN
ejpam-6685	92	3	,	,	PUNCT
ejpam-6685	92	4	ff	ff	NOUN
ejpam-6685	92	5	0	0	NUM
ejpam-6685	92	6	dρ	dρ	PROPN
ejpam-6685	92	7	,	,	PUNCT
ejpam-6685	92	8	κ	κ	PROPN
ejpam-6685	92	9	t	t	PROPN
ejpam-6685	92	10	ih	ih	NOUN
ejpam-6685	92	11	=	=	PUNCT
ejpam-6685	92	12	bβ1	bβ1	VERB
ejpam-6685	92	13	1+αhiv	1+αhiv	NUM
ejpam-6685	92	14	shiv	shiv	PROPN
ejpam-6685	92	15	+	+	CCONJ
ejpam-6685	92	16	bβ2	bβ2	NOUN
ejpam-6685	92	17	1+αhiv	1+αhiv	NUM
ejpam-6685	93	1	vhiv	vhiv	NOUN
ejpam-6685	93	2	−	−	PROPN
ejpam-6685	94	1	(	(	PUNCT
ejpam-6685	94	2	µh	µh	INTJ
ejpam-6685	94	3	+	+	X
ejpam-6685	95	1	γh	γh	X
ejpam-6685	96	1	+	+	CCONJ
ejpam-6685	97	1	τ)ih	τ)ih	PROPN
ejpam-6685	97	2	,	,	PUNCT
ejpam-6685	97	3	ff	ff	NOUN
ejpam-6685	97	4	0	0	NUM
ejpam-6685	97	5	dρ	dρ	PROPN
ejpam-6685	97	6	,	,	PUNCT
ejpam-6685	97	7	κ	κ	PROPN
ejpam-6685	97	8	t	t	PROPN
ejpam-6685	97	9	rh	rh	PROPN
ejpam-6685	97	10	=	=	SYM
ejpam-6685	97	11	γhih	γhih	PROPN
ejpam-6685	97	12	+	+	CCONJ
ejpam-6685	97	13	τih	τih	NOUN
ejpam-6685	97	14	−	−	PROPN
ejpam-6685	97	15	υrh	υrh	NOUN
ejpam-6685	97	16	−	−	NOUN
ejpam-6685	97	17	µhrh	µhrh	NOUN
ejpam-6685	97	18	,	,	PUNCT
ejpam-6685	97	19	ff	ff	NOUN
ejpam-6685	97	20	0	0	NUM
ejpam-6685	97	21	dρ	dρ	PROPN
ejpam-6685	97	22	,	,	PUNCT
ejpam-6685	97	23	κ	κ	PROPN
ejpam-6685	97	24	t	t	X
ejpam-6685	97	25	sv	sv	PROPN
ejpam-6685	98	1	=	=	SYM
ejpam-6685	98	2	λv	λv	PRON
ejpam-6685	98	3	−	−	PROPN
ejpam-6685	98	4	β3b	β3b	ADJ
ejpam-6685	98	5	1+αvih	1+αvih	ADJ
ejpam-6685	98	6	svih	svih	NOUN
ejpam-6685	98	7	−	−	NOUN
ejpam-6685	98	8	µvsv	µvsv	ADJ
ejpam-6685	98	9	,	,	PUNCT
ejpam-6685	98	10	ff	ff	NOUN
ejpam-6685	98	11	0	0	NUM
ejpam-6685	98	12	dρ	dρ	PROPN
ejpam-6685	98	13	,	,	PUNCT
ejpam-6685	98	14	κ	κ	PROPN
ejpam-6685	98	15	t	t	NOUN
ejpam-6685	98	16	iv	iv	NOUN
ejpam-6685	98	17	=	=	PUNCT
ejpam-6685	98	18	bβ3	bβ3	NOUN
ejpam-6685	98	19	1+αvih	1+αvih	NUM
ejpam-6685	98	20	svih	svih	PROPN
ejpam-6685	98	21	−	−	PROPN
ejpam-6685	98	22	µviv	µviv	NOUN
ejpam-6685	98	23	,	,	PUNCT
ejpam-6685	98	24	(	(	PUNCT
ejpam-6685	98	25	2	2	X
ejpam-6685	98	26	)	)	PUNCT
ejpam-6685	98	27	where	where	SCONJ
ejpam-6685	98	28	ff	ff	NOUN
ejpam-6685	98	29	0	0	NUM
ejpam-6685	98	30	dρ	dρ	PROPN
ejpam-6685	98	31	,	,	PUNCT
ejpam-6685	98	32	κ	κ	PROPN
ejpam-6685	98	33	t	t	PROPN
ejpam-6685	98	34	denotes	denote	VERB
ejpam-6685	98	35	the	the	DET
ejpam-6685	98	36	caputo	caputo	PROPN
ejpam-6685	98	37	fractal	fractal	PROPN
ejpam-6685	98	38	-	-	PUNCT
ejpam-6685	98	39	fractional	fractional	ADJ
ejpam-6685	98	40	derivative	derivative	NOUN
ejpam-6685	98	41	with	with	ADP
ejpam-6685	98	42	fractal	fractal	ADJ
ejpam-6685	98	43	and	and	CCONJ
ejpam-6685	98	44	fractional	fractional	ADJ
ejpam-6685	98	45	orders	order	NOUN
ejpam-6685	98	46	κ	κ	NOUN
ejpam-6685	98	47	and	and	CCONJ
ejpam-6685	98	48	ρ	ρ	NOUN
ejpam-6685	98	49	,	,	PUNCT
ejpam-6685	98	50	respectively	respectively	ADV
ejpam-6685	98	51	.	.	PUNCT
ejpam-6685	99	1	by	by	ADP
ejpam-6685	99	2	providing	provide	VERB
ejpam-6685	99	3	a	a	DET
ejpam-6685	99	4	more	more	ADV
ejpam-6685	99	5	realistic	realistic	ADJ
ejpam-6685	99	6	and	and	CCONJ
ejpam-6685	99	7	flexible	flexible	ADJ
ejpam-6685	99	8	mathematical	mathematical	ADJ
ejpam-6685	99	9	representation	representation	NOUN
ejpam-6685	99	10	of	of	ADP
ejpam-6685	99	11	dengue	dengue	NOUN
ejpam-6685	99	12	dynamics	dynamic	NOUN
ejpam-6685	99	13	,	,	PUNCT
ejpam-6685	99	14	fractal	fractal	ADJ
ejpam-6685	99	15	-	-	PUNCT
ejpam-6685	99	16	fractional	fractional	ADJ
ejpam-6685	99	17	models	model	NOUN
ejpam-6685	99	18	contribute	contribute	VERB
ejpam-6685	99	19	significantly	significantly	ADV
ejpam-6685	99	20	to	to	ADP
ejpam-6685	99	21	the	the	DET
ejpam-6685	99	22	development	development	NOUN
ejpam-6685	99	23	of	of	ADP
ejpam-6685	99	24	effective	effective	ADJ
ejpam-6685	99	25	public	public	ADJ
ejpam-6685	99	26	health	health	NOUN
ejpam-6685	99	27	policies	policy	NOUN
ejpam-6685	99	28	and	and	CCONJ
ejpam-6685	99	29	improve	improve	VERB
ejpam-6685	99	30	the	the	DET
ejpam-6685	99	31	alignment	alignment	NOUN
ejpam-6685	99	32	between	between	ADP
ejpam-6685	99	33	theoretical	theoretical	ADJ
ejpam-6685	99	34	predictions	prediction	NOUN
ejpam-6685	99	35	and	and	CCONJ
ejpam-6685	99	36	empirical	empirical	ADJ
ejpam-6685	99	37	data	datum	NOUN
ejpam-6685	99	38	.	.	PUNCT
ejpam-6685	100	1	m.	m.	NOUN
ejpam-6685	100	2	alsulami	alsulami	PROPN
ejpam-6685	100	3	,	,	PUNCT
ejpam-6685	100	4	r.	r.	PROPN
ejpam-6685	100	5	jan	jan	PROPN
ejpam-6685	100	6	,	,	PUNCT
ejpam-6685	100	7	e.	e.	PROPN
ejpam-6685	100	8	antonescu	antonescu	PROPN
ejpam-6685	100	9	/	/	SYM
ejpam-6685	100	10	eur	eur	PROPN
ejpam-6685	100	11	.	.	PUNCT
ejpam-6685	101	1	j.	j.	PROPN
ejpam-6685	101	2	pure	pure	PROPN
ejpam-6685	101	3	appl	appl	PROPN
ejpam-6685	101	4	.	.	PROPN
ejpam-6685	101	5	math	math	PROPN
ejpam-6685	101	6	,	,	PUNCT
ejpam-6685	101	7	18	18	NUM
ejpam-6685	101	8	(	(	PUNCT
ejpam-6685	101	9	3	3	NUM
ejpam-6685	101	10	)	)	PUNCT
ejpam-6685	101	11	(	(	PUNCT
ejpam-6685	101	12	2025	2025	NUM
ejpam-6685	101	13	)	)	PUNCT
ejpam-6685	101	14	,	,	PUNCT
ejpam-6685	101	15	6685	6685	NUM
ejpam-6685	101	16	5	5	NUM
ejpam-6685	101	17	of	of	ADP
ejpam-6685	101	18	19	19	NUM
ejpam-6685	101	19	3	3	NUM
ejpam-6685	101	20	.	.	PUNCT
ejpam-6685	101	21	theory	theory	NOUN
ejpam-6685	101	22	and	and	CCONJ
ejpam-6685	101	23	results	result	NOUN
ejpam-6685	101	24	here	here	ADV
ejpam-6685	101	25	,	,	PUNCT
ejpam-6685	101	26	we	we	PRON
ejpam-6685	101	27	will	will	AUX
ejpam-6685	101	28	present	present	VERB
ejpam-6685	101	29	some	some	DET
ejpam-6685	101	30	basic	basic	ADJ
ejpam-6685	101	31	theory	theory	NOUN
ejpam-6685	101	32	and	and	CCONJ
ejpam-6685	101	33	results	result	NOUN
ejpam-6685	101	34	of	of	ADP
ejpam-6685	101	35	fractal	fractal	ADJ
ejpam-6685	101	36	-	-	PUNCT
ejpam-6685	101	37	fractional	fractional	ADJ
ejpam-6685	101	38	derivative	derivative	NOUN
ejpam-6685	101	39	for	for	ADP
ejpam-6685	101	40	the	the	DET
ejpam-6685	101	41	analysis	analysis	NOUN
ejpam-6685	101	42	of	of	ADP
ejpam-6685	101	43	subsequent	subsequent	ADJ
ejpam-6685	101	44	work	work	NOUN
ejpam-6685	101	45	[	[	X
ejpam-6685	101	46	35	35	NUM
ejpam-6685	101	47	,	,	PUNCT
ejpam-6685	101	48	36	36	NUM
ejpam-6685	101	49	]	]	PUNCT
ejpam-6685	101	50	.	.	PUNCT
ejpam-6685	102	1	definition	definition	NOUN
ejpam-6685	102	2	1	1	NUM
ejpam-6685	102	3	.	.	PUNCT
ejpam-6685	102	4	assume	assume	VERB
ejpam-6685	102	5	a	a	DET
ejpam-6685	102	6	function	function	NOUN
ejpam-6685	102	7	x(t	x(t	PROPN
ejpam-6685	102	8	)	)	PUNCT
ejpam-6685	102	9	such	such	ADJ
ejpam-6685	102	10	that	that	SCONJ
ejpam-6685	102	11	x(t	x(t	PROPN
ejpam-6685	102	12	)	)	PUNCT
ejpam-6685	102	13	be	be	AUX
ejpam-6685	102	14	continuous	continuous	ADJ
ejpam-6685	102	15	and	and	CCONJ
ejpam-6685	102	16	differentiable	differentiable	ADJ
ejpam-6685	102	17	on	on	ADP
ejpam-6685	102	18	(	(	PUNCT
ejpam-6685	102	19	a	a	DET
ejpam-6685	102	20	,	,	PUNCT
ejpam-6685	102	21	b	b	NOUN
ejpam-6685	102	22	)	)	PUNCT
ejpam-6685	102	23	,	,	PUNCT
ejpam-6685	102	24	and	and	CCONJ
ejpam-6685	102	25	let	let	VERB
ejpam-6685	102	26	κ	κ	PRON
ejpam-6685	102	27	denote	denote	VERB
ejpam-6685	102	28	its	its	PRON
ejpam-6685	102	29	fractal	fractal	ADJ
ejpam-6685	102	30	order	order	NOUN
ejpam-6685	102	31	.	.	PUNCT
ejpam-6685	103	1	the	the	DET
ejpam-6685	103	2	fractal	fractal	ADJ
ejpam-6685	103	3	-	-	PUNCT
ejpam-6685	103	4	fractional	fractional	ADJ
ejpam-6685	103	5	derivative	derivative	NOUN
ejpam-6685	103	6	of	of	ADP
ejpam-6685	103	7	x(t	x(t	PROPN
ejpam-6685	103	8	)	)	PUNCT
ejpam-6685	103	9	of	of	ADP
ejpam-6685	103	10	order	order	NOUN
ejpam-6685	103	11	ρ	ρ	NOUN
ejpam-6685	103	12	in	in	ADP
ejpam-6685	103	13	the	the	DET
ejpam-6685	103	14	riemann	riemann	PROPN
ejpam-6685	103	15	–	–	PUNCT
ejpam-6685	103	16	liouville	liouville	VERB
ejpam-6685	103	17	sense	sense	NOUN
ejpam-6685	103	18	with	with	ADP
ejpam-6685	103	19	a	a	DET
ejpam-6685	103	20	power	power	NOUN
ejpam-6685	103	21	-	-	PUNCT
ejpam-6685	103	22	law	law	NOUN
ejpam-6685	103	23	kernel	kernel	NOUN
ejpam-6685	103	24	is	be	AUX
ejpam-6685	103	25	defined	define	VERB
ejpam-6685	103	26	as	as	ADP
ejpam-6685	103	27	ffpdρ	ffpdρ	ADJ
ejpam-6685	103	28	,	,	PUNCT
ejpam-6685	103	29	κ	κ	PROPN
ejpam-6685	103	30	0,t	0,t	PROPN
ejpam-6685	103	31	(	(	PUNCT
ejpam-6685	103	32	x(t	x(t	PROPN
ejpam-6685	103	33	)	)	PUNCT
ejpam-6685	103	34	)	)	PUNCT
ejpam-6685	104	1	=	=	SYM
ejpam-6685	104	2	1	1	NUM
ejpam-6685	104	3	γ(m−	γ(m−	PROPN
ejpam-6685	104	4	ρ	ρ	PROPN
ejpam-6685	104	5	)	)	PUNCT
ejpam-6685	104	6	d	d	NOUN
ejpam-6685	104	7	dtκ	dtκ	NOUN
ejpam-6685	104	8	∫	∫	PROPN
ejpam-6685	104	9	t	t	PROPN
ejpam-6685	104	10	0	0	NUM
ejpam-6685	104	11	(	(	PUNCT
ejpam-6685	104	12	t−	t−	PROPN
ejpam-6685	104	13	s)m−ρ−1x(s	s)m−ρ−1x(s	NUM
ejpam-6685	104	14	)	)	PUNCT
ejpam-6685	104	15	ds	ds	PROPN
ejpam-6685	104	16	,	,	PUNCT
ejpam-6685	104	17	(	(	PUNCT
ejpam-6685	104	18	3	3	X
ejpam-6685	104	19	)	)	PUNCT
ejpam-6685	104	20	where	where	SCONJ
ejpam-6685	104	21	m	m	VERB
ejpam-6685	104	22	∈	∈	PROPN
ejpam-6685	104	23	n	n	PRON
ejpam-6685	104	24	such	such	ADJ
ejpam-6685	104	25	that	that	SCONJ
ejpam-6685	104	26	m−	m−	PROPN
ejpam-6685	104	27	1	1	NUM
ejpam-6685	104	28	<	<	X
ejpam-6685	104	29	ρ	ρ	PROPN
ejpam-6685	104	30	,	,	PUNCT
ejpam-6685	104	31	κ	κ	PROPN
ejpam-6685	104	32	≤	≤	NUM
ejpam-6685	104	33	m.	m.	NOUN
ejpam-6685	104	34	here	here	ADV
ejpam-6685	104	35	,	,	PUNCT
ejpam-6685	104	36	the	the	DET
ejpam-6685	104	37	fractal	fractal	ADJ
ejpam-6685	104	38	derivative	derivative	NOUN
ejpam-6685	104	39	is	be	AUX
ejpam-6685	104	40	denoted	denote	VERB
ejpam-6685	104	41	by	by	ADP
ejpam-6685	104	42	d	d	PROPN
ejpam-6685	104	43	dtκ	dtκ	NOUN
ejpam-6685	104	44	of	of	ADP
ejpam-6685	104	45	order	order	NOUN
ejpam-6685	104	46	κ	κ	X
ejpam-6685	104	47	and	and	CCONJ
ejpam-6685	104	48	is	be	AUX
ejpam-6685	104	49	dx(s	dx(	NOUN
ejpam-6685	104	50	)	)	PUNCT
ejpam-6685	104	51	dsκ	dsκ	NOUN
ejpam-6685	104	52	=	=	SYM
ejpam-6685	104	53	lim	lim	PROPN
ejpam-6685	104	54	t→s	t→s	NUM
ejpam-6685	104	55	x(t)−	x(t)−	PROPN
ejpam-6685	104	56	x(s	x(s	PROPN
ejpam-6685	104	57	)	)	PUNCT
ejpam-6685	104	58	tκ	tκ	ADP
ejpam-6685	104	59	−	−	PROPN
ejpam-6685	104	60	sκ	sκ	PROPN
ejpam-6685	104	61	.	.	PUNCT
ejpam-6685	105	1	(	(	PUNCT
ejpam-6685	105	2	4	4	X
ejpam-6685	105	3	)	)	PUNCT
ejpam-6685	105	4	definition	definition	NOUN
ejpam-6685	105	5	2	2	NUM
ejpam-6685	105	6	.	.	PUNCT
ejpam-6685	106	1	let	let	VERB
ejpam-6685	106	2	x(t	x(t	PROPN
ejpam-6685	106	3	)	)	PUNCT
ejpam-6685	106	4	be	be	VERB
ejpam-6685	106	5	a	a	DET
ejpam-6685	106	6	function	function	NOUN
ejpam-6685	106	7	that	that	PRON
ejpam-6685	106	8	is	be	AUX
ejpam-6685	106	9	both	both	CCONJ
ejpam-6685	106	10	continuous	continuous	ADJ
ejpam-6685	106	11	and	and	CCONJ
ejpam-6685	106	12	admits	admit	VERB
ejpam-6685	106	13	a	a	DET
ejpam-6685	106	14	fractal	fractal	ADJ
ejpam-6685	106	15	derivative	derivative	NOUN
ejpam-6685	106	16	of	of	ADP
ejpam-6685	106	17	order	order	NOUN
ejpam-6685	106	18	κ	κ	NOUN
ejpam-6685	106	19	on	on	ADP
ejpam-6685	106	20	the	the	DET
ejpam-6685	106	21	interval	interval	NOUN
ejpam-6685	106	22	(	(	PUNCT
ejpam-6685	106	23	a	a	DET
ejpam-6685	106	24	,	,	PUNCT
ejpam-6685	106	25	b	b	NOUN
ejpam-6685	106	26	)	)	PUNCT
ejpam-6685	106	27	.	.	PUNCT
ejpam-6685	107	1	the	the	DET
ejpam-6685	107	2	riemann	riemann	PROPN
ejpam-6685	107	3	–	–	PUNCT
ejpam-6685	107	4	liouville	liouville	VERB
ejpam-6685	107	5	fractal	fractal	ADJ
ejpam-6685	107	6	-	-	PUNCT
ejpam-6685	107	7	fractional	fractional	ADJ
ejpam-6685	107	8	derivative	derivative	NOUN
ejpam-6685	107	9	of	of	ADP
ejpam-6685	107	10	x(t	x(t	PROPN
ejpam-6685	107	11	)	)	PUNCT
ejpam-6685	107	12	with	with	ADP
ejpam-6685	107	13	an	an	DET
ejpam-6685	107	14	exponential	exponential	ADJ
ejpam-6685	107	15	kernel	kernel	NOUN
ejpam-6685	107	16	of	of	ADP
ejpam-6685	107	17	order	order	NOUN
ejpam-6685	107	18	ρ	ρ	NOUN
ejpam-6685	107	19	is	be	AUX
ejpam-6685	107	20	given	give	VERB
ejpam-6685	107	21	by	by	ADP
ejpam-6685	107	22	ffedρ	ffedρ	ADJ
ejpam-6685	107	23	,	,	PUNCT
ejpam-6685	107	24	κ	κ	PROPN
ejpam-6685	107	25	0,t	0,t	PROPN
ejpam-6685	107	26	(	(	PUNCT
ejpam-6685	107	27	x(t	x(t	PROPN
ejpam-6685	107	28	)	)	PUNCT
ejpam-6685	107	29	)	)	PUNCT
ejpam-6685	107	30	=	=	SYM
ejpam-6685	107	31	m(ρ	m(ρ	X
ejpam-6685	107	32	)	)	PUNCT
ejpam-6685	107	33	1−	1−	NUM
ejpam-6685	107	34	ρ	ρ	NOUN
ejpam-6685	107	35	d	d	NOUN
ejpam-6685	107	36	dtκ	dtκ	NOUN
ejpam-6685	107	37	∫	∫	PROPN
ejpam-6685	107	38	t	t	PROPN
ejpam-6685	107	39	0	0	NUM
ejpam-6685	107	40	exp	exp	NOUN
ejpam-6685	107	41	(	(	PUNCT
ejpam-6685	107	42	−	−	PROPN
ejpam-6685	107	43	ρ	ρ	PROPN
ejpam-6685	107	44	1−	1−	NUM
ejpam-6685	107	45	ρ	ρ	NOUN
ejpam-6685	107	46	(	(	PUNCT
ejpam-6685	107	47	t−	t−	PROPN
ejpam-6685	107	48	s	s	PART
ejpam-6685	107	49	)	)	PUNCT
ejpam-6685	107	50	)	)	PUNCT
ejpam-6685	107	51	x(s	x(s	PROPN
ejpam-6685	107	52	)	)	PUNCT
ejpam-6685	107	53	ds	ds	PROPN
ejpam-6685	107	54	,	,	PUNCT
ejpam-6685	107	55	(	(	PUNCT
ejpam-6685	107	56	5	5	NUM
ejpam-6685	107	57	)	)	PUNCT
ejpam-6685	107	58	where	where	SCONJ
ejpam-6685	107	59	ρ	ρ	PROPN
ejpam-6685	107	60	∈	∈	PROPN
ejpam-6685	107	61	(	(	PUNCT
ejpam-6685	107	62	0	0	NUM
ejpam-6685	107	63	,	,	PUNCT
ejpam-6685	107	64	1	1	NUM
ejpam-6685	107	65	)	)	PUNCT
ejpam-6685	107	66	,	,	PUNCT
ejpam-6685	107	67	κ	κ	PROPN
ejpam-6685	107	68	≤	≤	PROPN
ejpam-6685	107	69	m	m	ADP
ejpam-6685	107	70	,	,	PUNCT
ejpam-6685	107	71	with	with	ADP
ejpam-6685	107	72	m	m	PROPN
ejpam-6685	107	73	∈	∈	NOUN
ejpam-6685	107	74	n	n	CCONJ
ejpam-6685	107	75	,	,	PUNCT
ejpam-6685	107	76	and	and	CCONJ
ejpam-6685	107	77	m(ρ	m(ρ	NUM
ejpam-6685	107	78	)	)	PUNCT
ejpam-6685	107	79	is	be	AUX
ejpam-6685	107	80	a	a	DET
ejpam-6685	107	81	normalization	normalization	NOUN
ejpam-6685	107	82	factor	factor	NOUN
ejpam-6685	107	83	satisfying	satisfy	VERB
ejpam-6685	107	84	m(0	m(0	PROPN
ejpam-6685	107	85	)	)	PUNCT
ejpam-6685	107	86	=	=	SYM
ejpam-6685	107	87	m(1	m(1	NOUN
ejpam-6685	107	88	)	)	PUNCT
ejpam-6685	107	89	=	=	SYM
ejpam-6685	107	90	1	1	X
ejpam-6685	107	91	.	.	X
ejpam-6685	107	92	definition	definition	NOUN
ejpam-6685	107	93	3	3	NUM
ejpam-6685	107	94	.	.	PUNCT
ejpam-6685	108	1	let	let	AUX
ejpam-6685	108	2	x(t	x(t	PROPN
ejpam-6685	108	3	)	)	PUNCT
ejpam-6685	108	4	be	be	AUX
ejpam-6685	108	5	continuous	continuous	ADJ
ejpam-6685	108	6	and	and	CCONJ
ejpam-6685	108	7	fractal	fractal	ADV
ejpam-6685	108	8	-	-	PUNCT
ejpam-6685	108	9	differentiable	differentiable	NOUN
ejpam-6685	108	10	on	on	ADP
ejpam-6685	108	11	the	the	DET
ejpam-6685	108	12	interval	interval	NOUN
ejpam-6685	108	13	(	(	PUNCT
ejpam-6685	108	14	a	a	DET
ejpam-6685	108	15	,	,	PUNCT
ejpam-6685	108	16	b	b	NOUN
ejpam-6685	108	17	)	)	PUNCT
ejpam-6685	108	18	,	,	PUNCT
ejpam-6685	108	19	where	where	SCONJ
ejpam-6685	108	20	κ	κ	PROPN
ejpam-6685	108	21	denotes	denote	VERB
ejpam-6685	108	22	the	the	DET
ejpam-6685	108	23	order	order	NOUN
ejpam-6685	108	24	of	of	ADP
ejpam-6685	108	25	fractal	fractal	ADJ
ejpam-6685	108	26	differentiation	differentiation	NOUN
ejpam-6685	108	27	.	.	PUNCT
ejpam-6685	109	1	the	the	DET
ejpam-6685	109	2	fractal	fractal	ADJ
ejpam-6685	109	3	-	-	PUNCT
ejpam-6685	109	4	fractional	fractional	ADJ
ejpam-6685	109	5	derivative	derivative	NOUN
ejpam-6685	109	6	of	of	ADP
ejpam-6685	109	7	x(t	x(t	PROPN
ejpam-6685	109	8	)	)	PUNCT
ejpam-6685	109	9	of	of	ADP
ejpam-6685	109	10	order	order	NOUN
ejpam-6685	109	11	ρ	ρ	NOUN
ejpam-6685	109	12	in	in	ADP
ejpam-6685	109	13	the	the	DET
ejpam-6685	109	14	riemann	riemann	PROPN
ejpam-6685	109	15	-	-	PUNCT
ejpam-6685	109	16	liouville	liouville	VERB
ejpam-6685	109	17	sense	sense	NOUN
ejpam-6685	109	18	with	with	ADP
ejpam-6685	109	19	a	a	DET
ejpam-6685	109	20	generalized	generalized	ADJ
ejpam-6685	109	21	mittag	mittag	ADJ
ejpam-6685	109	22	-	-	PUNCT
ejpam-6685	109	23	leffler	leffler	NOUN
ejpam-6685	109	24	kernel	kernel	NOUN
ejpam-6685	109	25	is	be	AUX
ejpam-6685	109	26	ffmdρ	ffmdρ	PROPN
ejpam-6685	109	27	,	,	PUNCT
ejpam-6685	109	28	κ	κ	PROPN
ejpam-6685	109	29	0,t	0,t	PROPN
ejpam-6685	109	30	(	(	PUNCT
ejpam-6685	109	31	x(t	x(t	PROPN
ejpam-6685	109	32	)	)	PUNCT
ejpam-6685	109	33	)	)	PUNCT
ejpam-6685	110	1	=	=	SYM
ejpam-6685	110	2	ab(ρ	ab(ρ	PROPN
ejpam-6685	110	3	)	)	PUNCT
ejpam-6685	110	4	1−	1−	NUM
ejpam-6685	110	5	ρ	ρ	NUM
ejpam-6685	111	1	d	d	NOUN
ejpam-6685	111	2	dtκ	dtκ	NOUN
ejpam-6685	111	3	∫	∫	PROPN
ejpam-6685	111	4	t	t	PROPN
ejpam-6685	111	5	0	0	NUM
ejpam-6685	111	6	eρ	eρ	PROPN
ejpam-6685	111	7	(	(	PUNCT
ejpam-6685	111	8	−(t−	−(t−	PROPN
ejpam-6685	111	9	s)ρ	s)ρ	NOUN
ejpam-6685	111	10	ρ	ρ	PROPN
ejpam-6685	111	11	1−	1−	NUM
ejpam-6685	111	12	ρ	ρ	PROPN
ejpam-6685	111	13	)	)	PUNCT
ejpam-6685	111	14	x(s	x(s	PROPN
ejpam-6685	111	15	)	)	PUNCT
ejpam-6685	111	16	ds	ds	PROPN
ejpam-6685	111	17	,	,	PUNCT
ejpam-6685	111	18	(	(	PUNCT
ejpam-6685	111	19	6	6	NUM
ejpam-6685	111	20	)	)	PUNCT
ejpam-6685	111	21	where	where	SCONJ
ejpam-6685	111	22	0	0	NUM
ejpam-6685	111	23	<	<	X
ejpam-6685	111	24	ρ	ρ	PROPN
ejpam-6685	111	25	,	,	PUNCT
ejpam-6685	111	26	κ	κ	X
ejpam-6685	111	27	≤	≤	NOUN
ejpam-6685	111	28	1	1	NUM
ejpam-6685	111	29	,	,	PUNCT
ejpam-6685	111	30	κ	κ	PROPN
ejpam-6685	111	31	∈	∈	PROPN
ejpam-6685	111	32	n	n	CCONJ
ejpam-6685	111	33	,	,	PUNCT
ejpam-6685	111	34	and	and	CCONJ
ejpam-6685	111	35	ab(ρ	ab(ρ	NUM
ejpam-6685	111	36	)	)	PUNCT
ejpam-6685	111	37	=	=	SYM
ejpam-6685	111	38	ρ	ρ	PROPN
ejpam-6685	111	39	γ(ρ	γ(ρ	PROPN
ejpam-6685	111	40	)	)	PUNCT
ejpam-6685	112	1	+	+	CCONJ
ejpam-6685	112	2	1−	1−	NUM
ejpam-6685	112	3	ρ	ρ	NOUN
ejpam-6685	112	4	.	.	PUNCT
ejpam-6685	113	1	here	here	ADV
ejpam-6685	113	2	,	,	PUNCT
ejpam-6685	113	3	eρ	eρ	PROPN
ejpam-6685	113	4	(	(	PUNCT
ejpam-6685	113	5	·	·	PUNCT
ejpam-6685	113	6	)	)	PUNCT
ejpam-6685	113	7	denotes	denote	VERB
ejpam-6685	113	8	the	the	DET
ejpam-6685	113	9	mittag	mittag	ADJ
ejpam-6685	113	10	-	-	PUNCT
ejpam-6685	113	11	leffler	leffler	NOUN
ejpam-6685	113	12	function	function	NOUN
ejpam-6685	113	13	.	.	PUNCT
ejpam-6685	114	1	definition	definition	NOUN
ejpam-6685	114	2	4	4	NUM
ejpam-6685	114	3	.	.	PUNCT
ejpam-6685	115	1	let	let	VERB
ejpam-6685	115	2	x(t	x(t	PROPN
ejpam-6685	115	3	)	)	PUNCT
ejpam-6685	115	4	be	be	VERB
ejpam-6685	115	5	a	a	DET
ejpam-6685	115	6	continuous	continuous	ADJ
ejpam-6685	115	7	function	function	NOUN
ejpam-6685	115	8	defined	define	VERB
ejpam-6685	115	9	on	on	ADP
ejpam-6685	115	10	(	(	PUNCT
ejpam-6685	115	11	a	a	DET
ejpam-6685	115	12	,	,	PUNCT
ejpam-6685	115	13	b	b	NOUN
ejpam-6685	115	14	)	)	PUNCT
ejpam-6685	115	15	.	.	PUNCT
ejpam-6685	116	1	the	the	DET
ejpam-6685	116	2	fractal	fractal	ADJ
ejpam-6685	116	3	-	-	PUNCT
ejpam-6685	116	4	fractional	fractional	ADJ
ejpam-6685	116	5	integral	integral	ADJ
ejpam-6685	116	6	of	of	ADP
ejpam-6685	116	7	order	order	NOUN
ejpam-6685	116	8	ρ	ρ	NOUN
ejpam-6685	116	9	of	of	ADP
ejpam-6685	116	10	the	the	DET
ejpam-6685	116	11	function	function	NOUN
ejpam-6685	116	12	x(t	x(t	PROPN
ejpam-6685	116	13	)	)	PUNCT
ejpam-6685	116	14	,	,	PUNCT
ejpam-6685	116	15	characterized	characterize	VERB
ejpam-6685	116	16	by	by	ADP
ejpam-6685	116	17	a	a	DET
ejpam-6685	116	18	power	power	NOUN
ejpam-6685	116	19	-	-	PUNCT
ejpam-6685	116	20	law	law	NOUN
ejpam-6685	116	21	kernel	kernel	NOUN
ejpam-6685	116	22	is	be	AUX
ejpam-6685	116	23	given	give	VERB
ejpam-6685	116	24	by	by	ADP
ejpam-6685	116	25	ffpjρ	ffpjρ	NOUN
ejpam-6685	116	26	0,t	0,t	PROPN
ejpam-6685	116	27	(	(	PUNCT
ejpam-6685	116	28	x(t	x(t	PROPN
ejpam-6685	116	29	)	)	PUNCT
ejpam-6685	116	30	)	)	PUNCT
ejpam-6685	117	1	=	=	SYM
ejpam-6685	117	2	κ	κ	PROPN
ejpam-6685	117	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	117	4	)	)	PUNCT
ejpam-6685	117	5	∫	∫	PROPN
ejpam-6685	118	1	t	t	PROPN
ejpam-6685	118	2	0	0	NUM
ejpam-6685	118	3	(	(	PUNCT
ejpam-6685	118	4	t−	t−	PROPN
ejpam-6685	118	5	s)ρ−1sκ−1x(s	s)ρ−1sκ−1x(s	NUM
ejpam-6685	118	6	)	)	PUNCT
ejpam-6685	118	7	ds	ds	PROPN
ejpam-6685	118	8	,	,	PUNCT
ejpam-6685	118	9	(	(	PUNCT
ejpam-6685	118	10	7	7	X
ejpam-6685	118	11	)	)	PUNCT
ejpam-6685	118	12	where	where	SCONJ
ejpam-6685	118	13	ρ	ρ	PROPN
ejpam-6685	118	14	>	>	X
ejpam-6685	118	15	0	0	PROPN
ejpam-6685	118	16	and	and	CCONJ
ejpam-6685	118	17	κ	κ	X
ejpam-6685	118	18	>	>	X
ejpam-6685	118	19	0	0	PROPN
ejpam-6685	118	20	.	.	PUNCT
ejpam-6685	118	21	m.	m.	NOUN
ejpam-6685	118	22	alsulami	alsulami	PROPN
ejpam-6685	118	23	,	,	PUNCT
ejpam-6685	118	24	r.	r.	PROPN
ejpam-6685	118	25	jan	jan	PROPN
ejpam-6685	118	26	,	,	PUNCT
ejpam-6685	118	27	e.	e.	PROPN
ejpam-6685	118	28	antonescu	antonescu	PROPN
ejpam-6685	118	29	/	/	SYM
ejpam-6685	118	30	eur	eur	PROPN
ejpam-6685	118	31	.	.	PUNCT
ejpam-6685	119	1	j.	j.	PROPN
ejpam-6685	119	2	pure	pure	PROPN
ejpam-6685	119	3	appl	appl	PROPN
ejpam-6685	119	4	.	.	PROPN
ejpam-6685	119	5	math	math	PROPN
ejpam-6685	119	6	,	,	PUNCT
ejpam-6685	119	7	18	18	NUM
ejpam-6685	119	8	(	(	PUNCT
ejpam-6685	119	9	3	3	NUM
ejpam-6685	119	10	)	)	PUNCT
ejpam-6685	119	11	(	(	PUNCT
ejpam-6685	119	12	2025	2025	NUM
ejpam-6685	119	13	)	)	PUNCT
ejpam-6685	119	14	,	,	PUNCT
ejpam-6685	119	15	6685	6685	NUM
ejpam-6685	119	16	6	6	NUM
ejpam-6685	119	17	of	of	ADP
ejpam-6685	119	18	19	19	NUM
ejpam-6685	119	19	definition	definition	NOUN
ejpam-6685	119	20	5	5	NUM
ejpam-6685	119	21	.	.	PUNCT
ejpam-6685	119	22	suppose	suppose	VERB
ejpam-6685	119	23	a	a	DET
ejpam-6685	119	24	continuous	continuous	ADJ
ejpam-6685	119	25	function	function	NOUN
ejpam-6685	119	26	x(t	x(t	PROPN
ejpam-6685	119	27	)	)	PUNCT
ejpam-6685	119	28	on	on	ADP
ejpam-6685	119	29	(	(	PUNCT
ejpam-6685	119	30	a	a	DET
ejpam-6685	119	31	,	,	PUNCT
ejpam-6685	119	32	b	b	NOUN
ejpam-6685	119	33	)	)	PUNCT
ejpam-6685	119	34	.	.	PUNCT
ejpam-6685	120	1	then	then	ADV
ejpam-6685	120	2	,	,	PUNCT
ejpam-6685	120	3	the	the	DET
ejpam-6685	120	4	integral	integral	ADJ
ejpam-6685	120	5	with	with	ADP
ejpam-6685	120	6	exponentially	exponentially	ADV
ejpam-6685	120	7	decay	decay	NOUN
ejpam-6685	120	8	kernel	kernel	PROPN
ejpam-6685	120	9	is	be	AUX
ejpam-6685	120	10	ffejρ	ffejρ	X
ejpam-6685	120	11	0,t	0,t	NOUN
ejpam-6685	120	12	(	(	PUNCT
ejpam-6685	120	13	x(t	x(t	PROPN
ejpam-6685	120	14	)	)	PUNCT
ejpam-6685	120	15	)	)	PUNCT
ejpam-6685	121	1	=	=	PUNCT
ejpam-6685	121	2	ρκ	ρκ	NUM
ejpam-6685	121	3	m(ρ	m(ρ	NUM
ejpam-6685	121	4	)	)	PUNCT
ejpam-6685	121	5	∫	∫	PROPN
ejpam-6685	121	6	t	t	PROPN
ejpam-6685	121	7	0	0	NUM
ejpam-6685	121	8	sρ−1x(s	sρ−1x(s	NUM
ejpam-6685	121	9	)	)	PUNCT
ejpam-6685	121	10	ds+	ds+	PROPN
ejpam-6685	121	11	κ(1−	κ(1−	PROPN
ejpam-6685	121	12	ρ)tκ−1x(t	ρ)tκ−1x(t	PROPN
ejpam-6685	121	13	)	)	PUNCT
ejpam-6685	121	14	m(ρ	m(ρ	NUM
ejpam-6685	121	15	)	)	PUNCT
ejpam-6685	121	16	.	.	PUNCT
ejpam-6685	122	1	(	(	PUNCT
ejpam-6685	122	2	8)	8)	NUM
ejpam-6685	122	3	definition	definition	NOUN
ejpam-6685	122	4	6	6	NUM
ejpam-6685	122	5	.	.	PUNCT
ejpam-6685	123	1	the	the	DET
ejpam-6685	123	2	generalized	generalize	VERB
ejpam-6685	123	3	mittag	mittag	ADJ
ejpam-6685	123	4	-	-	PUNCT
ejpam-6685	123	5	leffler	leffler	NOUN
ejpam-6685	123	6	kernel	kernel	NOUN
ejpam-6685	123	7	for	for	ADP
ejpam-6685	123	8	a	a	DET
ejpam-6685	123	9	continuous	continuous	ADJ
ejpam-6685	123	10	function	function	NOUN
ejpam-6685	123	11	x(t	x(t	PROPN
ejpam-6685	123	12	)	)	PUNCT
ejpam-6685	123	13	for	for	ADP
ejpam-6685	123	14	the	the	DET
ejpam-6685	123	15	above	above	ADJ
ejpam-6685	123	16	operator	operator	NOUN
ejpam-6685	123	17	with	with	ADP
ejpam-6685	123	18	order	order	NOUN
ejpam-6685	123	19	κ	κ	NOUN
ejpam-6685	123	20	and	and	CCONJ
ejpam-6685	123	21	ρ	ρ	PROPN
ejpam-6685	123	22	is	be	AUX
ejpam-6685	123	23	given	give	VERB
ejpam-6685	123	24	by	by	ADP
ejpam-6685	123	25	ffmjρ	ffmjρ	NOUN
ejpam-6685	123	26	,	,	PUNCT
ejpam-6685	123	27	κ	κ	PROPN
ejpam-6685	123	28	0,t	0,t	PROPN
ejpam-6685	123	29	(	(	PUNCT
ejpam-6685	123	30	x(t	x(t	PROPN
ejpam-6685	123	31	)	)	PUNCT
ejpam-6685	123	32	)	)	PUNCT
ejpam-6685	124	1	=	=	PUNCT
ejpam-6685	124	2	ρκ	ρκ	NOUN
ejpam-6685	124	3	ab(ρ	ab(ρ	PROPN
ejpam-6685	124	4	)	)	PUNCT
ejpam-6685	124	5	∫	∫	PROPN
ejpam-6685	124	6	t	t	PROPN
ejpam-6685	124	7	0	0	X
ejpam-6685	125	1	sκ−1(t−	sκ−1(t−	PROPN
ejpam-6685	125	2	s)ρ−1x(s	s)ρ−1x(s	NOUN
ejpam-6685	125	3	)	)	PUNCT
ejpam-6685	125	4	ds+	ds+	PROPN
ejpam-6685	125	5	κ(1−	κ(1−	PROPN
ejpam-6685	125	6	ρ)tκ−1x(t	ρ)tκ−1x(t	PROPN
ejpam-6685	125	7	)	)	PUNCT
ejpam-6685	125	8	ab(ρ	ab(ρ	PROPN
ejpam-6685	125	9	)	)	PUNCT
ejpam-6685	125	10	,	,	PUNCT
ejpam-6685	125	11	(	(	PUNCT
ejpam-6685	125	12	9	9	X
ejpam-6685	125	13	)	)	PUNCT
ejpam-6685	125	14	where	where	SCONJ
ejpam-6685	125	15	ab(ρ	ab(ρ	NOUN
ejpam-6685	125	16	)	)	PUNCT
ejpam-6685	125	17	denotes	denote	VERB
ejpam-6685	125	18	a	a	DET
ejpam-6685	125	19	normalization	normalization	NOUN
ejpam-6685	125	20	function	function	NOUN
ejpam-6685	125	21	associated	associate	VERB
ejpam-6685	125	22	with	with	ADP
ejpam-6685	125	23	the	the	DET
ejpam-6685	125	24	kernel	kernel	NOUN
ejpam-6685	125	25	.	.	PUNCT
ejpam-6685	126	1	3.1	3.1	NUM
ejpam-6685	126	2	.	.	PUNCT
ejpam-6685	126	3	threshold	threshold	NOUN
ejpam-6685	126	4	parameter	parameter	NOUN
ejpam-6685	126	5	in	in	ADP
ejpam-6685	126	6	this	this	DET
ejpam-6685	126	7	subsection	subsection	NOUN
ejpam-6685	126	8	,	,	PUNCT
ejpam-6685	126	9	we	we	PRON
ejpam-6685	126	10	derive	derive	VERB
ejpam-6685	126	11	the	the	DET
ejpam-6685	126	12	disease	disease	NOUN
ejpam-6685	126	13	-	-	PUNCT
ejpam-6685	126	14	free	free	ADJ
ejpam-6685	126	15	equilibrium	equilibrium	NOUN
ejpam-6685	126	16	(	(	PUNCT
ejpam-6685	126	17	dfe	dfe	PROPN
ejpam-6685	126	18	)	)	PUNCT
ejpam-6685	126	19	of	of	ADP
ejpam-6685	126	20	the	the	DET
ejpam-6685	126	21	proposed	propose	VERB
ejpam-6685	126	22	dengue	dengue	NOUN
ejpam-6685	126	23	transmission	transmission	NOUN
ejpam-6685	126	24	model	model	NOUN
ejpam-6685	126	25	,	,	PUNCT
ejpam-6685	126	26	followed	follow	VERB
ejpam-6685	126	27	by	by	ADP
ejpam-6685	126	28	the	the	DET
ejpam-6685	126	29	computation	computation	NOUN
ejpam-6685	126	30	of	of	ADP
ejpam-6685	126	31	the	the	DET
ejpam-6685	126	32	associated	associated	ADJ
ejpam-6685	126	33	threshold	threshold	NOUN
ejpam-6685	126	34	parameter	parameter	NOUN
ejpam-6685	126	35	,	,	PUNCT
ejpam-6685	126	36	commonly	commonly	ADV
ejpam-6685	126	37	referred	refer	VERB
ejpam-6685	126	38	to	to	ADP
ejpam-6685	126	39	as	as	ADP
ejpam-6685	126	40	the	the	DET
ejpam-6685	126	41	basic	basic	ADJ
ejpam-6685	126	42	reproduction	reproduction	NOUN
ejpam-6685	126	43	number	number	NOUN
ejpam-6685	126	44	.	.	PUNCT
ejpam-6685	127	1	to	to	PART
ejpam-6685	127	2	determine	determine	VERB
ejpam-6685	127	3	the	the	DET
ejpam-6685	127	4	equilibria	equilibrium	NOUN
ejpam-6685	127	5	of	of	ADP
ejpam-6685	127	6	the	the	DET
ejpam-6685	127	7	system	system	NOUN
ejpam-6685	127	8	,	,	PUNCT
ejpam-6685	127	9	we	we	PRON
ejpam-6685	127	10	begin	begin	VERB
ejpam-6685	127	11	by	by	ADP
ejpam-6685	127	12	considering	consider	VERB
ejpam-6685	127	13	the	the	DET
ejpam-6685	127	14	model	model	NOUN
ejpam-6685	127	15	equations	equation	NOUN
ejpam-6685	127	16	in	in	ADP
ejpam-6685	127	17	the	the	DET
ejpam-6685	127	18	following	follow	VERB
ejpam-6685	127	19	form:	form:	PROPN
ejpam-6685	127	20	0	0	NUM
ejpam-6685	128	1	=	=	SYM
ejpam-6685	128	2	λh	λh	ADP
ejpam-6685	128	3	−	−	PROPN
ejpam-6685	128	4	bβ1	bβ1	VERB
ejpam-6685	128	5	1+αhiv	1+αhiv	NUM
ejpam-6685	128	6	shiv	shiv	PROPN
ejpam-6685	129	1	−	−	PROPN
ejpam-6685	129	2	µhsh	µhsh	PROPN
ejpam-6685	129	3	−	−	PROPN
ejpam-6685	129	4	psh	psh	NOUN
ejpam-6685	129	5	+	+	CCONJ
ejpam-6685	129	6	υrh	υrh	NOUN
ejpam-6685	129	7	,	,	PUNCT
ejpam-6685	129	8	0	0	NUM
ejpam-6685	129	9	=	=	SYM
ejpam-6685	129	10	psh	psh	NOUN
ejpam-6685	129	11	−	−	PROPN
ejpam-6685	129	12	bβ2	bβ2	NOUN
ejpam-6685	129	13	1+αhiv	1+αhiv	NUM
ejpam-6685	129	14	vhiv	vhiv	NOUN
ejpam-6685	129	15	−	−	PROPN
ejpam-6685	129	16	µhvh	µhvh	PROPN
ejpam-6685	129	17	,	,	PUNCT
ejpam-6685	129	18	0	0	NUM
ejpam-6685	129	19	=	=	PUNCT
ejpam-6685	129	20	bβ1	bβ1	VERB
ejpam-6685	129	21	1+αhiv	1+αhiv	NUM
ejpam-6685	129	22	shiv	shiv	PROPN
ejpam-6685	129	23	+	+	CCONJ
ejpam-6685	129	24	bβ2	bβ2	NOUN
ejpam-6685	129	25	1+αhiv	1+αhiv	NUM
ejpam-6685	130	1	vhiv	vhiv	NOUN
ejpam-6685	130	2	−	−	PROPN
ejpam-6685	131	1	(	(	PUNCT
ejpam-6685	131	2	µh	µh	INTJ
ejpam-6685	131	3	+	+	X
ejpam-6685	132	1	γh	γh	X
ejpam-6685	133	1	+	+	X
ejpam-6685	134	1	τ)ih	τ)ih	PROPN
ejpam-6685	134	2	,	,	PUNCT
ejpam-6685	134	3	0	0	NUM
ejpam-6685	134	4	=	=	SYM
ejpam-6685	134	5	γhih	γhih	NOUN
ejpam-6685	134	6	+	+	CCONJ
ejpam-6685	134	7	τih	τih	NOUN
ejpam-6685	134	8	−	−	PROPN
ejpam-6685	134	9	υrh	υrh	NOUN
ejpam-6685	134	10	−	−	NOUN
ejpam-6685	134	11	µhrh	µhrh	NOUN
ejpam-6685	134	12	,	,	PUNCT
ejpam-6685	134	13	0	0	NUM
ejpam-6685	135	1	=	=	SYM
ejpam-6685	135	2	λv	λv	ADP
ejpam-6685	135	3	−	−	PROPN
ejpam-6685	135	4	β3b	β3b	ADJ
ejpam-6685	135	5	1+αvih	1+αvih	ADJ
ejpam-6685	135	6	svih	svih	NOUN
ejpam-6685	135	7	−	−	NOUN
ejpam-6685	135	8	µvsv	µvsv	ADJ
ejpam-6685	135	9	,	,	PUNCT
ejpam-6685	135	10	0	0	NUM
ejpam-6685	135	11	=	=	PUNCT
ejpam-6685	135	12	bβ3	bβ3	NOUN
ejpam-6685	135	13	1+αvih	1+αvih	NUM
ejpam-6685	135	14	svih	svih	PROPN
ejpam-6685	135	15	−	−	PROPN
ejpam-6685	135	16	µviv	µviv	NOUN
ejpam-6685	135	17	.	.	PUNCT
ejpam-6685	136	1	(	(	PUNCT
ejpam-6685	136	2	10	10	NUM
ejpam-6685	136	3	)	)	PUNCT
ejpam-6685	136	4	for	for	ADP
ejpam-6685	136	5	disease	disease	NOUN
ejpam-6685	136	6	-	-	PUNCT
ejpam-6685	136	7	free	free	ADJ
ejpam-6685	136	8	equilibrium	equilibrium	NOUN
ejpam-6685	136	9	,	,	PUNCT
ejpam-6685	136	10	we	we	PRON
ejpam-6685	136	11	take	take	VERB
ejpam-6685	136	12	ih	ih	NOUN
ejpam-6685	136	13	=	=	SYM
ejpam-6685	136	14	0	0	NUM
ejpam-6685	137	1	and	and	CCONJ
ejpam-6685	137	2	iv	iv	NUM
ejpam-6685	137	3	=	=	SYM
ejpam-6685	137	4	0	0	NUM
ejpam-6685	137	5	in	in	ADP
ejpam-6685	137	6	the	the	DET
ejpam-6685	137	7	above	above	NOUN
ejpam-6685	138	1	and	and	CCONJ
ejpam-6685	138	2	get	get	VERB
ejpam-6685	138	3	e0(s	e0(s	PROPN
ejpam-6685	138	4	0	0	NUM
ejpam-6685	138	5	h	h	NOUN
ejpam-6685	138	6	,	,	PUNCT
ejpam-6685	138	7	v	v	NOUN
ejpam-6685	138	8	0	0	NUM
ejpam-6685	139	1	h	h	NOUN
ejpam-6685	139	2	,	,	PUNCT
ejpam-6685	140	1	i	i	PRON
ejpam-6685	140	2	0	0	NUM
ejpam-6685	140	3	h	h	NOUN
ejpam-6685	140	4	,	,	PUNCT
ejpam-6685	140	5	r	r	NOUN
ejpam-6685	140	6	0	0	NUM
ejpam-6685	140	7	h	h	NOUN
ejpam-6685	140	8	,	,	PUNCT
ejpam-6685	140	9	s	s	PART
ejpam-6685	140	10	0	0	NUM
ejpam-6685	140	11	v	v	NOUN
ejpam-6685	140	12	,	,	PUNCT
ejpam-6685	141	1	i	i	PRON
ejpam-6685	141	2	0	0	NUM
ejpam-6685	141	3	v	v	NOUN
ejpam-6685	141	4	)	)	PUNCT
ejpam-6685	141	5	=	=	SYM
ejpam-6685	141	6	(	(	PUNCT
ejpam-6685	141	7	λh	λh	ADP
ejpam-6685	141	8	p+	p+	NOUN
ejpam-6685	141	9	µh	µh	INTJ
ejpam-6685	141	10	,	,	PUNCT
ejpam-6685	141	11	λhp	λhp	PROPN
ejpam-6685	141	12	(	(	PUNCT
ejpam-6685	141	13	p+	p+	NOUN
ejpam-6685	141	14	µh)µh	µh)µh	PROPN
ejpam-6685	141	15	,	,	PUNCT
ejpam-6685	141	16	0	0	NUM
ejpam-6685	141	17	,	,	PUNCT
ejpam-6685	141	18	0	0	NUM
ejpam-6685	141	19	,	,	PUNCT
ejpam-6685	141	20	λv	λv	ADP
ejpam-6685	141	21	µv	µv	PROPN
ejpam-6685	141	22	,	,	PUNCT
ejpam-6685	141	23	0	0	NUM
ejpam-6685	141	24	)	)	PUNCT
ejpam-6685	141	25	.	.	PUNCT
ejpam-6685	142	1	to	to	PART
ejpam-6685	142	2	determine	determine	VERB
ejpam-6685	142	3	the	the	DET
ejpam-6685	142	4	threshold	threshold	NOUN
ejpam-6685	142	5	parameter	parameter	NOUN
ejpam-6685	142	6	,	,	PUNCT
ejpam-6685	142	7	we	we	PRON
ejpam-6685	142	8	will	will	AUX
ejpam-6685	142	9	use	use	VERB
ejpam-6685	142	10	the	the	DET
ejpam-6685	142	11	concept	concept	NOUN
ejpam-6685	142	12	outlined	outline	VERB
ejpam-6685	142	13	in	in	ADP
ejpam-6685	142	14	the	the	DET
ejpam-6685	142	15	research	research	NOUN
ejpam-6685	142	16	work	work	NOUN
ejpam-6685	142	17	[	[	X
ejpam-6685	142	18	37	37	NUM
ejpam-6685	142	19	,	,	PUNCT
ejpam-6685	142	20	38	38	NUM
ejpam-6685	142	21	]	]	PUNCT
ejpam-6685	142	22	which	which	PRON
ejpam-6685	142	23	is	be	AUX
ejpam-6685	142	24	symbolized	symbolize	VERB
ejpam-6685	142	25	by	by	ADP
ejpam-6685	142	26	r0	r0	NOUN
ejpam-6685	142	27	and	and	CCONJ
ejpam-6685	142	28	is	be	AUX
ejpam-6685	142	29	find	find	VERB
ejpam-6685	142	30	out	out	ADP
ejpam-6685	142	31	as	as	SCONJ
ejpam-6685	142	32	f	f	PROPN
ejpam-6685	142	33	=	=	PRON
ejpam-6685	142	34	[	[	PUNCT
ejpam-6685	142	35	bβ1	bβ1	VERB
ejpam-6685	142	36	1+αhiv	1+αhiv	NUM
ejpam-6685	142	37	shiv	shiv	NOUN
ejpam-6685	142	38	+	+	CCONJ
ejpam-6685	142	39	bβ2	bβ2	NOUN
ejpam-6685	142	40	1+αhiv	1+αhiv	NUM
ejpam-6685	142	41	vhiv	vhiv	NOUN
ejpam-6685	142	42	bβ3	bβ3	NOUN
ejpam-6685	142	43	1+αvih	1+αvih	NUM
ejpam-6685	142	44	svih	svih	PROPN
ejpam-6685	142	45	]	]	PUNCT
ejpam-6685	142	46	and	and	CCONJ
ejpam-6685	142	47	v	v	NOUN
ejpam-6685	142	48	=	=	X
ejpam-6685	142	49	[	[	PUNCT
ejpam-6685	142	50	(	(	PUNCT
ejpam-6685	142	51	µh	µh	INTJ
ejpam-6685	143	1	+	+	X
ejpam-6685	143	2	γh	γh	ADJ
ejpam-6685	143	3	+	+	CCONJ
ejpam-6685	143	4	τ)ih	τ)ih	PROPN
ejpam-6685	143	5	µviv	µviv	NOUN
ejpam-6685	143	6	]	]	PUNCT
ejpam-6685	143	7	,	,	PUNCT
ejpam-6685	143	8	which	which	PRON
ejpam-6685	143	9	further	far	ADV
ejpam-6685	143	10	implies	imply	VERB
ejpam-6685	143	11	the	the	DET
ejpam-6685	143	12	following	follow	VERB
ejpam-6685	144	1	f	f	X
ejpam-6685	144	2	=	=	PUNCT
ejpam-6685	145	1	[	[	PUNCT
ejpam-6685	145	2	0	0	NUM
ejpam-6685	145	3	bβ1s	bβ1s	NOUN
ejpam-6685	145	4	0	0	NUM
ejpam-6685	145	5	h	h	NOUN
ejpam-6685	146	1	+	+	CCONJ
ejpam-6685	146	2	bβ2v	bβ2v	PROPN
ejpam-6685	146	3	0	0	NUM
ejpam-6685	147	1	h	h	PROPN
ejpam-6685	147	2	bβ3s	bβ3s	NOUN
ejpam-6685	147	3	0	0	PUNCT
ejpam-6685	147	4	v	v	NOUN
ejpam-6685	147	5	0	0	NUM
ejpam-6685	147	6	]	]	PUNCT
ejpam-6685	147	7	and	and	CCONJ
ejpam-6685	147	8	v	v	X
ejpam-6685	147	9	=	=	PUNCT
ejpam-6685	148	1	[	[	PUNCT
ejpam-6685	148	2	µh	µh	X
ejpam-6685	148	3	+	+	X
ejpam-6685	148	4	γh	γh	PROPN
ejpam-6685	148	5	+	+	CCONJ
ejpam-6685	148	6	τ	τ	X
ejpam-6685	148	7	0	0	NUM
ejpam-6685	148	8	0	0	NUM
ejpam-6685	148	9	µv	µv	NOUN
ejpam-6685	148	10	]	]	PUNCT
ejpam-6685	148	11	,	,	PUNCT
ejpam-6685	148	12	next	next	ADV
ejpam-6685	148	13	,	,	PUNCT
ejpam-6685	148	14	we	we	PRON
ejpam-6685	148	15	have	have	VERB
ejpam-6685	148	16	fv−1	fv−1	NOUN
ejpam-6685	148	17	=	=	PUNCT
ejpam-6685	148	18	[	[	PUNCT
ejpam-6685	148	19	0	0	NUM
ejpam-6685	148	20	bβ1s	bβ1s	NOUN
ejpam-6685	148	21	0	0	NUM
ejpam-6685	149	1	h+bβ2v	h+bβ2v	PROPN
ejpam-6685	149	2	0	0	NUM
ejpam-6685	149	3	h	h	NOUN
ejpam-6685	149	4	µv	µv	PROPN
ejpam-6685	149	5	bβ3s	bβ3s	ADJ
ejpam-6685	149	6	0	0	PUNCT
ejpam-6685	149	7	v	v	X
ejpam-6685	149	8	µh+γh+τ	µh+γh+τ	PROPN
ejpam-6685	149	9	0	0	NUM
ejpam-6685	149	10	]	]	PUNCT
ejpam-6685	149	11	.	.	PUNCT
ejpam-6685	150	1	m.	m.	NOUN
ejpam-6685	150	2	alsulami	alsulami	PROPN
ejpam-6685	150	3	,	,	PUNCT
ejpam-6685	150	4	r.	r.	PROPN
ejpam-6685	150	5	jan	jan	PROPN
ejpam-6685	150	6	,	,	PUNCT
ejpam-6685	150	7	e.	e.	PROPN
ejpam-6685	150	8	antonescu	antonescu	PROPN
ejpam-6685	150	9	/	/	SYM
ejpam-6685	150	10	eur	eur	PROPN
ejpam-6685	150	11	.	.	PUNCT
ejpam-6685	151	1	j.	j.	PROPN
ejpam-6685	151	2	pure	pure	PROPN
ejpam-6685	151	3	appl	appl	PROPN
ejpam-6685	151	4	.	.	PROPN
ejpam-6685	151	5	math	math	PROPN
ejpam-6685	151	6	,	,	PUNCT
ejpam-6685	151	7	18	18	NUM
ejpam-6685	151	8	(	(	PUNCT
ejpam-6685	151	9	3	3	NUM
ejpam-6685	151	10	)	)	PUNCT
ejpam-6685	151	11	(	(	PUNCT
ejpam-6685	151	12	2025	2025	NUM
ejpam-6685	151	13	)	)	PUNCT
ejpam-6685	151	14	,	,	PUNCT
ejpam-6685	151	15	6685	6685	NUM
ejpam-6685	151	16	7	7	NUM
ejpam-6685	151	17	of	of	ADP
ejpam-6685	151	18	19	19	NUM
ejpam-6685	151	19	the	the	DET
ejpam-6685	151	20	spectral	spectral	ADJ
ejpam-6685	151	21	radius	radius	NOUN
ejpam-6685	151	22	of	of	ADP
ejpam-6685	151	23	the	the	DET
ejpam-6685	151	24	above	above	ADJ
ejpam-6685	151	25	fv	fv	PROPN
ejpam-6685	151	26	−1	−1	NOUN
ejpam-6685	151	27	is	be	AUX
ejpam-6685	151	28	denoted	denote	VERB
ejpam-6685	151	29	by	by	ADP
ejpam-6685	151	30	ρ(fv	ρ(fv	PROPN
ejpam-6685	151	31	−1	−1	NOUN
ejpam-6685	151	32	)	)	PUNCT
ejpam-6685	151	33	and	and	CCONJ
ejpam-6685	151	34	is	be	AUX
ejpam-6685	151	35	given	give	VERB
ejpam-6685	151	36	by	by	ADP
ejpam-6685	151	37	ρ(fv	ρ(fv	NUM
ejpam-6685	151	38	−1	−1	NOUN
ejpam-6685	151	39	)	)	PUNCT
ejpam-6685	151	40	=	=	SYM
ejpam-6685	152	1	√	√	ADP
ejpam-6685	152	2	bβ3s	bβ3s	SYM
ejpam-6685	152	3	0	0	NUM
ejpam-6685	152	4	v	v	NOUN
ejpam-6685	152	5	(	(	PUNCT
ejpam-6685	152	6	µh	µh	INTJ
ejpam-6685	152	7	+	+	X
ejpam-6685	152	8	γh	γh	X
ejpam-6685	152	9	+	+	CCONJ
ejpam-6685	152	10	τ)µv	τ)µv	PROPN
ejpam-6685	152	11	(	(	PUNCT
ejpam-6685	152	12	bβ1s	bβ1s	NOUN
ejpam-6685	152	13	0	0	NUM
ejpam-6685	152	14	h	h	NOUN
ejpam-6685	153	1	+	+	CCONJ
ejpam-6685	153	2	bβ2v	bβ2v	PROPN
ejpam-6685	153	3	0	0	NUM
ejpam-6685	153	4	h	h	NOUN
ejpam-6685	153	5	)	)	PUNCT
ejpam-6685	153	6	,	,	PUNCT
ejpam-6685	153	7	this	this	PRON
ejpam-6685	153	8	implies	imply	VERB
ejpam-6685	153	9	the	the	DET
ejpam-6685	153	10	following	follow	VERB
ejpam-6685	153	11	r0	r0	NOUN
ejpam-6685	153	12	=	=	SYM
ejpam-6685	153	13	√	√	NUM
ejpam-6685	153	14	bβ3λvλh	bβ3λvλh	PUNCT
ejpam-6685	154	1	(	(	PUNCT
ejpam-6685	154	2	µh	µh	NOUN
ejpam-6685	154	3	+	+	NOUN
ejpam-6685	154	4	γh)µvµv	γh)µvµv	NOUN
ejpam-6685	154	5	(	(	PUNCT
ejpam-6685	154	6	bβ1	bβ1	PROPN
ejpam-6685	154	7	(	(	PUNCT
ejpam-6685	154	8	p+	p+	NOUN
ejpam-6685	154	9	µh	µh	NOUN
ejpam-6685	154	10	)	)	PUNCT
ejpam-6685	155	1	+	+	CCONJ
ejpam-6685	155	2	bβ2p	bβ2p	X
ejpam-6685	155	3	(	(	PUNCT
ejpam-6685	155	4	p+	p+	NOUN
ejpam-6685	155	5	µh)µh	µh)µh	PROPN
ejpam-6685	155	6	)	)	PUNCT
ejpam-6685	155	7	.	.	PUNCT
ejpam-6685	156	1	4	4	X
ejpam-6685	156	2	.	.	X
ejpam-6685	156	3	numerical	numerical	ADJ
ejpam-6685	156	4	scheme	scheme	NOUN
ejpam-6685	156	5	and	and	CCONJ
ejpam-6685	156	6	analysis	analysis	NOUN
ejpam-6685	156	7	in	in	ADP
ejpam-6685	156	8	this	this	DET
ejpam-6685	156	9	section	section	NOUN
ejpam-6685	156	10	,	,	PUNCT
ejpam-6685	156	11	we	we	PRON
ejpam-6685	156	12	present	present	VERB
ejpam-6685	156	13	a	a	DET
ejpam-6685	156	14	novel	novel	ADJ
ejpam-6685	156	15	numerical	numerical	ADJ
ejpam-6685	156	16	method	method	NOUN
ejpam-6685	156	17	for	for	ADP
ejpam-6685	156	18	the	the	DET
ejpam-6685	156	19	fractal	fractal	ADJ
ejpam-6685	156	20	-	-	PUNCT
ejpam-6685	156	21	fractional	fractional	ADJ
ejpam-6685	156	22	caputo	caputo	PROPN
ejpam-6685	156	23	(	(	PUNCT
ejpam-6685	156	24	ffc	ffc	NOUN
ejpam-6685	156	25	)	)	PUNCT
ejpam-6685	156	26	system	system	NOUN
ejpam-6685	156	27	(	(	PUNCT
ejpam-6685	156	28	2	2	X
ejpam-6685	156	29	)	)	PUNCT
ejpam-6685	156	30	describing	describe	VERB
ejpam-6685	156	31	dengue	dengue	NOUN
ejpam-6685	156	32	infection	infection	NOUN
ejpam-6685	156	33	dynamics	dynamic	NOUN
ejpam-6685	156	34	.	.	PUNCT
ejpam-6685	157	1	to	to	PART
ejpam-6685	157	2	facilitate	facilitate	VERB
ejpam-6685	157	3	the	the	DET
ejpam-6685	157	4	numerical	numerical	ADJ
ejpam-6685	157	5	procedure	procedure	NOUN
ejpam-6685	157	6	,	,	PUNCT
ejpam-6685	157	7	the	the	DET
ejpam-6685	157	8	ffc	ffc	NOUN
ejpam-6685	157	9	system	system	NOUN
ejpam-6685	157	10	is	be	AUX
ejpam-6685	157	11	first	first	ADV
ejpam-6685	157	12	reformulated	reformulate	VERB
ejpam-6685	157	13	as	as	ADP
ejpam-6685	157	14	an	an	DET
ejpam-6685	157	15	equivalent	equivalent	ADJ
ejpam-6685	157	16	volterra	volterra	NOUN
ejpam-6685	157	17	-	-	PUNCT
ejpam-6685	157	18	type	type	NOUN
ejpam-6685	157	19	integral	integral	ADJ
ejpam-6685	157	20	equation	equation	NOUN
ejpam-6685	157	21	.	.	PUNCT
ejpam-6685	158	1	consequently	consequently	ADV
ejpam-6685	158	2	,	,	PUNCT
ejpam-6685	158	3	the	the	DET
ejpam-6685	158	4	system	system	NOUN
ejpam-6685	158	5	involving	involve	VERB
ejpam-6685	158	6	the	the	DET
ejpam-6685	158	7	ffc	ffc	NOUN
ejpam-6685	158	8	derivative	derivative	NOUN
ejpam-6685	158	9	can	can	AUX
ejpam-6685	158	10	be	be	AUX
ejpam-6685	158	11	represented	represent	VERB
ejpam-6685	158	12	as	as	SCONJ
ejpam-6685	158	13	follows	follow	VERB
ejpam-6685	158	14	:	:	PUNCT
ejpam-6685	159	1	1	1	NUM
ejpam-6685	159	2	γ(1−	γ(1−	NOUN
ejpam-6685	159	3	ρ	ρ	PROPN
ejpam-6685	159	4	)	)	PUNCT
ejpam-6685	159	5	d	d	NOUN
ejpam-6685	159	6	dt	dt	X
ejpam-6685	160	1	∫	∫	PROPN
ejpam-6685	160	2	t	t	PROPN
ejpam-6685	160	3	0	0	NUM
ejpam-6685	160	4	(	(	PUNCT
ejpam-6685	160	5	t−	t−	PRON
ejpam-6685	160	6	κ)ρf(κ)dκ	κ)ρf(κ)dκ	NOUN
ejpam-6685	160	7	1	1	NUM
ejpam-6685	160	8	κtκ−1	κtκ−1	PROPN
ejpam-6685	160	9	,	,	PUNCT
ejpam-6685	160	10	(	(	PUNCT
ejpam-6685	160	11	11	11	NUM
ejpam-6685	160	12	)	)	PUNCT
ejpam-6685	160	13	thus	thus	ADV
ejpam-6685	160	14	,	,	PUNCT
ejpam-6685	160	15	the	the	DET
ejpam-6685	160	16	below	below	ADV
ejpam-6685	160	17	is	be	AUX
ejpam-6685	160	18	obtained	obtain	VERB
ejpam-6685	160	19	rldρ	rldρ	NOUN
ejpam-6685	160	20	0,tsh	0,tsh	NUM
ejpam-6685	160	21	=	=	SYM
ejpam-6685	160	22	κtκ−1	κtκ−1	PROPN
ejpam-6685	160	23	(	(	PUNCT
ejpam-6685	160	24	λh	λh	ADP
ejpam-6685	160	25	−	−	PROPN
ejpam-6685	160	26	bβ1	bβ1	VERB
ejpam-6685	160	27	1	1	NUM
ejpam-6685	160	28	+	+	NUM
ejpam-6685	160	29	αhiv	αhiv	PROPN
ejpam-6685	160	30	shiv	shiv	PROPN
ejpam-6685	160	31	−	−	PROPN
ejpam-6685	160	32	µhsh	µhsh	PROPN
ejpam-6685	160	33	−	−	PROPN
ejpam-6685	160	34	psh	psh	NOUN
ejpam-6685	160	35	+	+	NOUN
ejpam-6685	160	36	υrh	υrh	NOUN
ejpam-6685	160	37	)	)	PUNCT
ejpam-6685	160	38	,	,	PUNCT
ejpam-6685	160	39	rldρ	rldρ	VERB
ejpam-6685	160	40	0,tvh	0,tvh	NOUN
ejpam-6685	160	41	=	=	SYM
ejpam-6685	160	42	κtκ−1	κtκ−1	PROPN
ejpam-6685	160	43	(	(	PUNCT
ejpam-6685	160	44	psh	psh	NOUN
ejpam-6685	160	45	−	−	PROPN
ejpam-6685	160	46	bβ2	bβ2	NOUN
ejpam-6685	160	47	1	1	NUM
ejpam-6685	160	48	+	+	CCONJ
ejpam-6685	160	49	αhiv	αhiv	PROPN
ejpam-6685	160	50	vhiv	vhiv	PROPN
ejpam-6685	160	51	−	−	PROPN
ejpam-6685	160	52	µhvh	µhvh	PROPN
ejpam-6685	160	53	)	)	PUNCT
ejpam-6685	160	54	,	,	PUNCT
ejpam-6685	160	55	rldρ	rldρ	VERB
ejpam-6685	160	56	0,tih	0,tih	NUM
ejpam-6685	160	57	=	=	SYM
ejpam-6685	160	58	κtκ−1	κtκ−1	PROPN
ejpam-6685	160	59	(	(	PUNCT
ejpam-6685	160	60	bβ1	bβ1	VERB
ejpam-6685	160	61	1	1	NUM
ejpam-6685	160	62	+	+	NUM
ejpam-6685	160	63	αhiv	αhiv	PROPN
ejpam-6685	160	64	shiv	shiv	NOUN
ejpam-6685	160	65	+	+	CCONJ
ejpam-6685	160	66	bβ2	bβ2	NOUN
ejpam-6685	160	67	1	1	NUM
ejpam-6685	160	68	+	+	CCONJ
ejpam-6685	160	69	αhiv	αhiv	PROPN
ejpam-6685	160	70	vhiv	vhiv	NOUN
ejpam-6685	160	71	−	−	PROPN
ejpam-6685	161	1	(	(	PUNCT
ejpam-6685	161	2	µh	µh	INTJ
ejpam-6685	161	3	+	+	X
ejpam-6685	162	1	γh	γh	ADP
ejpam-6685	163	1	+	+	CCONJ
ejpam-6685	164	1	τ)ih	τ)ih	PROPN
ejpam-6685	164	2	)	)	PUNCT
ejpam-6685	164	3	,	,	PUNCT
ejpam-6685	164	4	rldρ	rldρ	VERB
ejpam-6685	164	5	0,trh	0,trh	NOUN
ejpam-6685	164	6	=	=	SYM
ejpam-6685	164	7	κtκ−1	κtκ−1	PROPN
ejpam-6685	164	8	(	(	PUNCT
ejpam-6685	164	9	γhih	γhih	PROPN
ejpam-6685	164	10	+	+	CCONJ
ejpam-6685	164	11	τih	τih	NOUN
ejpam-6685	164	12	−	−	PROPN
ejpam-6685	164	13	υrh	υrh	NOUN
ejpam-6685	164	14	−	−	PROPN
ejpam-6685	164	15	µhrh	µhrh	PROPN
ejpam-6685	164	16	)	)	PUNCT
ejpam-6685	164	17	,	,	PUNCT
ejpam-6685	164	18	rldρ	rldρ	VERB
ejpam-6685	164	19	0,tsv	0,tsv	PROPN
ejpam-6685	164	20	=	=	SYM
ejpam-6685	164	21	κtκ−1	κtκ−1	PROPN
ejpam-6685	164	22	(	(	PUNCT
ejpam-6685	164	23	λv	λv	X
ejpam-6685	164	24	−	−	PROPN
ejpam-6685	164	25	β3b	β3b	NOUN
ejpam-6685	164	26	1	1	NUM
ejpam-6685	165	1	+	+	NUM
ejpam-6685	165	2	αvih	αvih	NOUN
ejpam-6685	165	3	svih	svih	NOUN
ejpam-6685	165	4	−	−	PROPN
ejpam-6685	165	5	µvsv	µvsv	NOUN
ejpam-6685	165	6	)	)	PUNCT
ejpam-6685	165	7	,	,	PUNCT
ejpam-6685	165	8	rldρ	rldρ	VERB
ejpam-6685	165	9	0,tiv	0,tiv	NOUN
ejpam-6685	165	10	=	=	SYM
ejpam-6685	165	11	κtκ−1	κtκ−1	PROPN
ejpam-6685	165	12	(	(	PUNCT
ejpam-6685	165	13	bβ3	bβ3	NOUN
ejpam-6685	165	14	1	1	NUM
ejpam-6685	165	15	+	+	NUM
ejpam-6685	165	16	αvih	αvih	NOUN
ejpam-6685	165	17	svih	svih	PROPN
ejpam-6685	165	18	−	−	PROPN
ejpam-6685	165	19	µviv	µviv	NOUN
ejpam-6685	165	20	)	)	PUNCT
ejpam-6685	165	21	.	.	PUNCT
ejpam-6685	166	1	(	(	PUNCT
ejpam-6685	166	2	12	12	NUM
ejpam-6685	166	3	)	)	PUNCT
ejpam-6685	166	4	to	to	PART
ejpam-6685	166	5	make	make	VERB
ejpam-6685	166	6	the	the	DET
ejpam-6685	166	7	riemann	riemann	PROPN
ejpam-6685	166	8	-	-	PUNCT
ejpam-6685	166	9	liouville	liouville	VERB
ejpam-6685	166	10	derivative	derivative	ADJ
ejpam-6685	166	11	flexible	flexible	ADJ
ejpam-6685	166	12	for	for	ADP
ejpam-6685	166	13	the	the	DET
ejpam-6685	166	14	beginning	begin	VERB
ejpam-6685	166	15	circumstances	circumstance	NOUN
ejpam-6685	166	16	,	,	PUNCT
ejpam-6685	166	17	we	we	PRON
ejpam-6685	166	18	convert	convert	VERB
ejpam-6685	166	19	it	it	PRON
ejpam-6685	166	20	to	to	ADP
ejpam-6685	166	21	the	the	DET
ejpam-6685	166	22	caputo	caputo	PROPN
ejpam-6685	166	23	derivative	derivative	NOUN
ejpam-6685	166	24	.	.	PUNCT
ejpam-6685	167	1	applying	apply	VERB
ejpam-6685	167	2	the	the	DET
ejpam-6685	167	3	fractional	fractional	ADJ
ejpam-6685	167	4	integral	integral	NOUN
ejpam-6685	167	5	in	in	ADP
ejpam-6685	167	6	the	the	DET
ejpam-6685	167	7	following	follow	VERB
ejpam-6685	167	8	step	step	NOUN
ejpam-6685	167	9	yields	yield	VERB
ejpam-6685	167	10	the	the	DET
ejpam-6685	167	11	following	follow	VERB
ejpam-6685	167	12	sh(t	sh(t	X
ejpam-6685	167	13	)	)	PUNCT
ejpam-6685	167	14	=	=	PUNCT
ejpam-6685	168	1	sh(0	sh(0	NOUN
ejpam-6685	168	2	)	)	PUNCT
ejpam-6685	169	1	+	+	NUM
ejpam-6685	169	2	κ	κ	X
ejpam-6685	169	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	169	4	)	)	PUNCT
ejpam-6685	170	1	∫	∫	PROPN
ejpam-6685	171	1	t	t	PROPN
ejpam-6685	171	2	0	0	NUM
ejpam-6685	172	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	172	2	ξ)ρ−1g1(sh	ξ)ρ−1g1(sh	PROPN
ejpam-6685	172	3	,	,	PUNCT
ejpam-6685	172	4	vh	vh	PROPN
ejpam-6685	172	5	,	,	PUNCT
ejpam-6685	172	6	ih	ih	X
ejpam-6685	172	7	,	,	PUNCT
ejpam-6685	172	8	rh	rh	PROPN
ejpam-6685	172	9	,	,	PUNCT
ejpam-6685	172	10	sv	sv	PROPN
ejpam-6685	172	11	,	,	PUNCT
ejpam-6685	172	12	iv	iv	NOUN
ejpam-6685	172	13	,	,	PUNCT
ejpam-6685	172	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	172	15	,	,	PUNCT
ejpam-6685	172	16	m.	m.	NOUN
ejpam-6685	172	17	alsulami	alsulami	NOUN
ejpam-6685	172	18	,	,	PUNCT
ejpam-6685	172	19	r.	r.	PROPN
ejpam-6685	172	20	jan	jan	PROPN
ejpam-6685	172	21	,	,	PUNCT
ejpam-6685	172	22	e.	e.	PROPN
ejpam-6685	172	23	antonescu	antonescu	PROPN
ejpam-6685	172	24	/	/	SYM
ejpam-6685	172	25	eur	eur	PROPN
ejpam-6685	172	26	.	.	PUNCT
ejpam-6685	173	1	j.	j.	PROPN
ejpam-6685	173	2	pure	pure	PROPN
ejpam-6685	173	3	appl	appl	PROPN
ejpam-6685	173	4	.	.	PROPN
ejpam-6685	173	5	math	math	PROPN
ejpam-6685	173	6	,	,	PUNCT
ejpam-6685	173	7	18	18	NUM
ejpam-6685	173	8	(	(	PUNCT
ejpam-6685	173	9	3	3	NUM
ejpam-6685	173	10	)	)	PUNCT
ejpam-6685	173	11	(	(	PUNCT
ejpam-6685	173	12	2025	2025	NUM
ejpam-6685	173	13	)	)	PUNCT
ejpam-6685	173	14	,	,	PUNCT
ejpam-6685	173	15	6685	6685	NUM
ejpam-6685	173	16	8	8	NUM
ejpam-6685	173	17	of	of	ADP
ejpam-6685	173	18	19	19	NUM
ejpam-6685	173	19	vh(t	vh(t	NUM
ejpam-6685	173	20	)	)	PUNCT
ejpam-6685	173	21	=	=	SYM
ejpam-6685	173	22	vh(0	vh(0	NOUN
ejpam-6685	173	23	)	)	PUNCT
ejpam-6685	174	1	+	+	NUM
ejpam-6685	174	2	κ	κ	X
ejpam-6685	174	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	174	4	)	)	PUNCT
ejpam-6685	175	1	∫	∫	PROPN
ejpam-6685	176	1	t	t	PROPN
ejpam-6685	176	2	0	0	NUM
ejpam-6685	177	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	177	2	ξ)ρ−1g2(sh	ξ)ρ−1g2(sh	PROPN
ejpam-6685	177	3	,	,	PUNCT
ejpam-6685	177	4	vh	vh	PROPN
ejpam-6685	177	5	,	,	PUNCT
ejpam-6685	177	6	ih	ih	X
ejpam-6685	177	7	,	,	PUNCT
ejpam-6685	177	8	rh	rh	PROPN
ejpam-6685	177	9	,	,	PUNCT
ejpam-6685	177	10	sv	sv	PROPN
ejpam-6685	177	11	,	,	PUNCT
ejpam-6685	177	12	iv	iv	NOUN
ejpam-6685	177	13	,	,	PUNCT
ejpam-6685	177	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	177	15	,	,	PUNCT
ejpam-6685	177	16	ih(t	ih(t	X
ejpam-6685	177	17	)	)	PUNCT
ejpam-6685	177	18	=	=	SYM
ejpam-6685	177	19	ih(0	ih(0	NOUN
ejpam-6685	177	20	)	)	PUNCT
ejpam-6685	177	21	+	+	NUM
ejpam-6685	177	22	κ	κ	X
ejpam-6685	177	23	γ(ρ	γ(ρ	PROPN
ejpam-6685	177	24	)	)	PUNCT
ejpam-6685	178	1	∫	∫	PROPN
ejpam-6685	179	1	t	t	PROPN
ejpam-6685	179	2	0	0	X
ejpam-6685	180	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	180	2	ξ)ρ−1g3(sh	ξ)ρ−1g3(sh	PROPN
ejpam-6685	180	3	,	,	PUNCT
ejpam-6685	180	4	vh	vh	PROPN
ejpam-6685	180	5	,	,	PUNCT
ejpam-6685	180	6	ih	ih	X
ejpam-6685	180	7	,	,	PUNCT
ejpam-6685	180	8	rh	rh	PROPN
ejpam-6685	180	9	,	,	PUNCT
ejpam-6685	180	10	sv	sv	PROPN
ejpam-6685	180	11	,	,	PUNCT
ejpam-6685	180	12	iv	iv	NOUN
ejpam-6685	180	13	,	,	PUNCT
ejpam-6685	180	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	180	15	,	,	PUNCT
ejpam-6685	180	16	rh(t	rh(t	PUNCT
ejpam-6685	180	17	)	)	PUNCT
ejpam-6685	180	18	=	=	SYM
ejpam-6685	180	19	rh(0	rh(0	NOUN
ejpam-6685	180	20	)	)	PUNCT
ejpam-6685	180	21	+	+	NUM
ejpam-6685	180	22	κ	κ	X
ejpam-6685	180	23	γ(ρ	γ(ρ	PROPN
ejpam-6685	180	24	)	)	PUNCT
ejpam-6685	181	1	∫	∫	PROPN
ejpam-6685	182	1	t	t	PROPN
ejpam-6685	182	2	0	0	X
ejpam-6685	183	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	183	2	ξ)ρ−1g4(sh	ξ)ρ−1g4(sh	PROPN
ejpam-6685	183	3	,	,	PUNCT
ejpam-6685	183	4	vh	vh	PROPN
ejpam-6685	183	5	,	,	PUNCT
ejpam-6685	183	6	ih	ih	X
ejpam-6685	183	7	,	,	PUNCT
ejpam-6685	183	8	rh	rh	PROPN
ejpam-6685	183	9	,	,	PUNCT
ejpam-6685	183	10	sv	sv	PROPN
ejpam-6685	183	11	,	,	PUNCT
ejpam-6685	183	12	iv	iv	NOUN
ejpam-6685	183	13	,	,	PUNCT
ejpam-6685	183	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	183	15	,	,	PUNCT
ejpam-6685	183	16	sv(t	sv(t	NOUN
ejpam-6685	183	17	)	)	PUNCT
ejpam-6685	183	18	=	=	SYM
ejpam-6685	183	19	sv(0	sv(0	NOUN
ejpam-6685	183	20	)	)	PUNCT
ejpam-6685	183	21	+	+	NUM
ejpam-6685	183	22	κ	κ	X
ejpam-6685	183	23	γ(ρ	γ(ρ	PROPN
ejpam-6685	183	24	)	)	PUNCT
ejpam-6685	184	1	∫	∫	PROPN
ejpam-6685	185	1	t	t	PROPN
ejpam-6685	185	2	0	0	NUM
ejpam-6685	186	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	186	2	ξ)ρ−1g5(sh	ξ)ρ−1g5(sh	PROPN
ejpam-6685	186	3	,	,	PUNCT
ejpam-6685	186	4	vh	vh	PROPN
ejpam-6685	186	5	,	,	PUNCT
ejpam-6685	186	6	ih	ih	X
ejpam-6685	186	7	,	,	PUNCT
ejpam-6685	186	8	rh	rh	PROPN
ejpam-6685	186	9	,	,	PUNCT
ejpam-6685	186	10	sv	sv	PROPN
ejpam-6685	186	11	,	,	PUNCT
ejpam-6685	186	12	iv	iv	NOUN
ejpam-6685	186	13	,	,	PUNCT
ejpam-6685	186	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	186	15	,	,	PUNCT
ejpam-6685	186	16	iv(t	iv(t	PUNCT
ejpam-6685	186	17	)	)	PUNCT
ejpam-6685	186	18	=	=	SYM
ejpam-6685	186	19	iv(0	iv(0	NOUN
ejpam-6685	186	20	)	)	PUNCT
ejpam-6685	186	21	+	+	NUM
ejpam-6685	186	22	κ	κ	X
ejpam-6685	186	23	γ(ρ	γ(ρ	PROPN
ejpam-6685	186	24	)	)	PUNCT
ejpam-6685	187	1	∫	∫	PROPN
ejpam-6685	188	1	t	t	PROPN
ejpam-6685	188	2	0	0	NUM
ejpam-6685	189	1	ξκ−1(t−	ξκ−1(t−	PROPN
ejpam-6685	189	2	ξ)ρ−1g6(sh	ξ)ρ−1g6(sh	PROPN
ejpam-6685	189	3	,	,	PUNCT
ejpam-6685	189	4	vh	vh	PROPN
ejpam-6685	189	5	,	,	PUNCT
ejpam-6685	189	6	ih	ih	X
ejpam-6685	189	7	,	,	PUNCT
ejpam-6685	189	8	rh	rh	PROPN
ejpam-6685	189	9	,	,	PUNCT
ejpam-6685	189	10	sv	sv	PROPN
ejpam-6685	189	11	,	,	PUNCT
ejpam-6685	189	12	iv	iv	NOUN
ejpam-6685	189	13	,	,	PUNCT
ejpam-6685	189	14	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	189	15	,	,	PUNCT
ejpam-6685	189	16	(	(	PUNCT
ejpam-6685	189	17	13	13	NUM
ejpam-6685	189	18	)	)	PUNCT
ejpam-6685	189	19	where	where	SCONJ
ejpam-6685	189	20	g1(sh	g1(sh	PROPN
ejpam-6685	189	21	,	,	PUNCT
ejpam-6685	189	22	vh	vh	PROPN
ejpam-6685	189	23	,	,	PUNCT
ejpam-6685	189	24	ih	ih	X
ejpam-6685	189	25	,	,	PUNCT
ejpam-6685	189	26	rh	rh	PROPN
ejpam-6685	189	27	,	,	PUNCT
ejpam-6685	189	28	sv	sv	PROPN
ejpam-6685	189	29	,	,	PUNCT
ejpam-6685	189	30	iv	iv	NUM
ejpam-6685	189	31	,	,	PUNCT
ejpam-6685	189	32	ξ	ξ	NOUN
ejpam-6685	189	33	)	)	PUNCT
ejpam-6685	189	34	=	=	NOUN
ejpam-6685	189	35	λh	λh	ADP
ejpam-6685	189	36	−	−	PROPN
ejpam-6685	189	37	bβ1	bβ1	VERB
ejpam-6685	189	38	1	1	NUM
ejpam-6685	189	39	+	+	NUM
ejpam-6685	189	40	αhiv	αhiv	PROPN
ejpam-6685	189	41	shiv	shiv	PROPN
ejpam-6685	189	42	−	−	PROPN
ejpam-6685	189	43	µhsh	µhsh	PROPN
ejpam-6685	189	44	−	−	PROPN
ejpam-6685	189	45	psh	psh	NOUN
ejpam-6685	189	46	+	+	CCONJ
ejpam-6685	189	47	υrh	υrh	NOUN
ejpam-6685	189	48	,	,	PUNCT
ejpam-6685	189	49	g2(sh	g2(sh	PROPN
ejpam-6685	189	50	,	,	PUNCT
ejpam-6685	189	51	vh	vh	PROPN
ejpam-6685	189	52	,	,	PUNCT
ejpam-6685	189	53	ih	ih	X
ejpam-6685	189	54	,	,	PUNCT
ejpam-6685	189	55	rh	rh	PROPN
ejpam-6685	189	56	,	,	PUNCT
ejpam-6685	189	57	sv	sv	PROPN
ejpam-6685	189	58	,	,	PUNCT
ejpam-6685	189	59	iv	iv	NUM
ejpam-6685	189	60	,	,	PUNCT
ejpam-6685	189	61	ξ	ξ	NOUN
ejpam-6685	189	62	)	)	PUNCT
ejpam-6685	189	63	=	=	SYM
ejpam-6685	189	64	psh	psh	NOUN
ejpam-6685	189	65	−	−	PROPN
ejpam-6685	189	66	bβ2	bβ2	NOUN
ejpam-6685	189	67	1	1	NUM
ejpam-6685	189	68	+	+	CCONJ
ejpam-6685	189	69	αhiv	αhiv	PROPN
ejpam-6685	189	70	vhiv	vhiv	PROPN
ejpam-6685	190	1	−	−	PROPN
ejpam-6685	191	1	µhvh	µhvh	PROPN
ejpam-6685	191	2	,	,	PUNCT
ejpam-6685	191	3	g3(sh	g3(sh	PROPN
ejpam-6685	191	4	,	,	PUNCT
ejpam-6685	191	5	vh	vh	PROPN
ejpam-6685	191	6	,	,	PUNCT
ejpam-6685	191	7	ih	ih	X
ejpam-6685	191	8	,	,	PUNCT
ejpam-6685	191	9	rh	rh	PROPN
ejpam-6685	191	10	,	,	PUNCT
ejpam-6685	191	11	sv	sv	PROPN
ejpam-6685	191	12	,	,	PUNCT
ejpam-6685	191	13	iv	iv	NUM
ejpam-6685	191	14	,	,	PUNCT
ejpam-6685	191	15	ξ	ξ	X
ejpam-6685	191	16	)	)	PUNCT
ejpam-6685	191	17	=	=	VERB
ejpam-6685	191	18	bβ1	bβ1	VERB
ejpam-6685	191	19	1	1	NUM
ejpam-6685	191	20	+	+	NUM
ejpam-6685	191	21	αhiv	αhiv	PROPN
ejpam-6685	191	22	shiv	shiv	NOUN
ejpam-6685	191	23	+	+	CCONJ
ejpam-6685	192	1	bβ2	bβ2	NOUN
ejpam-6685	192	2	1	1	NUM
ejpam-6685	192	3	+	+	CCONJ
ejpam-6685	192	4	αhiv	αhiv	PROPN
ejpam-6685	192	5	vhiv	vhiv	NOUN
ejpam-6685	192	6	−	−	PROPN
ejpam-6685	193	1	(	(	PUNCT
ejpam-6685	193	2	µh	µh	INTJ
ejpam-6685	193	3	+	+	X
ejpam-6685	194	1	γh	γh	X
ejpam-6685	195	1	+	+	CCONJ
ejpam-6685	196	1	τ)ih	τ)ih	PROPN
ejpam-6685	196	2	,	,	PUNCT
ejpam-6685	196	3	g4(sh	g4(sh	PROPN
ejpam-6685	196	4	,	,	PUNCT
ejpam-6685	196	5	vh	vh	PROPN
ejpam-6685	196	6	,	,	PUNCT
ejpam-6685	196	7	ih	ih	X
ejpam-6685	196	8	,	,	PUNCT
ejpam-6685	196	9	rh	rh	PROPN
ejpam-6685	196	10	,	,	PUNCT
ejpam-6685	196	11	sv	sv	PROPN
ejpam-6685	196	12	,	,	PUNCT
ejpam-6685	196	13	iv	iv	NUM
ejpam-6685	196	14	,	,	PUNCT
ejpam-6685	196	15	ξ	ξ	X
ejpam-6685	196	16	)	)	PUNCT
ejpam-6685	196	17	=	=	SYM
ejpam-6685	197	1	γhih	γhih	NOUN
ejpam-6685	197	2	+	+	CCONJ
ejpam-6685	197	3	τih	τih	NOUN
ejpam-6685	197	4	−	−	PROPN
ejpam-6685	197	5	υrh	υrh	NOUN
ejpam-6685	197	6	−	−	NOUN
ejpam-6685	197	7	µhrh	µhrh	NOUN
ejpam-6685	197	8	,	,	PUNCT
ejpam-6685	197	9	g5(sh	g5(sh	PROPN
ejpam-6685	197	10	,	,	PUNCT
ejpam-6685	197	11	vh	vh	PROPN
ejpam-6685	197	12	,	,	PUNCT
ejpam-6685	197	13	ih	ih	X
ejpam-6685	197	14	,	,	PUNCT
ejpam-6685	197	15	rh	rh	PROPN
ejpam-6685	197	16	,	,	PUNCT
ejpam-6685	197	17	sv	sv	PROPN
ejpam-6685	197	18	,	,	PUNCT
ejpam-6685	197	19	iv	iv	NUM
ejpam-6685	197	20	,	,	PUNCT
ejpam-6685	197	21	ξ	ξ	NOUN
ejpam-6685	197	22	)	)	PUNCT
ejpam-6685	197	23	=	=	SYM
ejpam-6685	197	24	λv	λv	PROPN
ejpam-6685	197	25	−	−	PROPN
ejpam-6685	197	26	β3b	β3b	NOUN
ejpam-6685	197	27	1	1	NUM
ejpam-6685	197	28	+	+	NUM
ejpam-6685	197	29	αvih	αvih	NOUN
ejpam-6685	197	30	svih	svih	NOUN
ejpam-6685	197	31	−	−	NOUN
ejpam-6685	197	32	µvsv	µvsv	ADJ
ejpam-6685	197	33	,	,	PUNCT
ejpam-6685	197	34	g6(sh	g6(sh	PROPN
ejpam-6685	197	35	,	,	PUNCT
ejpam-6685	197	36	vh	vh	PROPN
ejpam-6685	197	37	,	,	PUNCT
ejpam-6685	197	38	ih	ih	X
ejpam-6685	197	39	,	,	PUNCT
ejpam-6685	197	40	rh	rh	PROPN
ejpam-6685	197	41	,	,	PUNCT
ejpam-6685	197	42	sv	sv	PROPN
ejpam-6685	197	43	,	,	PUNCT
ejpam-6685	197	44	iv	iv	NUM
ejpam-6685	197	45	,	,	PUNCT
ejpam-6685	197	46	ξ	ξ	X
ejpam-6685	197	47	)	)	PUNCT
ejpam-6685	197	48	=	=	SYM
ejpam-6685	198	1	bβ3	bβ3	NOUN
ejpam-6685	198	2	1	1	NUM
ejpam-6685	198	3	+	+	NUM
ejpam-6685	198	4	αvih	αvih	NOUN
ejpam-6685	198	5	svih	svih	PROPN
ejpam-6685	198	6	−	−	PROPN
ejpam-6685	198	7	µviv	µviv	NOUN
ejpam-6685	198	8	.	.	PUNCT
ejpam-6685	199	1	here	here	ADV
ejpam-6685	199	2	,	,	PUNCT
ejpam-6685	199	3	at	at	ADP
ejpam-6685	199	4	time	time	NOUN
ejpam-6685	199	5	tm+1	tm+1	NOUN
ejpam-6685	199	6	,	,	PUNCT
ejpam-6685	199	7	we	we	PRON
ejpam-6685	199	8	obtain	obtain	VERB
ejpam-6685	199	9	sh(t	sh(t	ADJ
ejpam-6685	199	10	)	)	PUNCT
ejpam-6685	199	11	=	=	SYM
ejpam-6685	200	1	sh(0	sh(0	NOUN
ejpam-6685	200	2	)	)	PUNCT
ejpam-6685	201	1	+	+	NUM
ejpam-6685	201	2	κ	κ	X
ejpam-6685	201	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	201	4	)	)	PUNCT
ejpam-6685	202	1	∫	∫	PROPN
ejpam-6685	202	2	t	t	PROPN
ejpam-6685	202	3	0	0	NUM
ejpam-6685	202	4	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	202	5	−	−	PROPN
ejpam-6685	202	6	ξ)ρ−1g1(sh	ξ)ρ−1g1(sh	PROPN
ejpam-6685	202	7	,	,	PUNCT
ejpam-6685	202	8	vh	vh	PROPN
ejpam-6685	202	9	,	,	PUNCT
ejpam-6685	202	10	ih	ih	X
ejpam-6685	202	11	,	,	PUNCT
ejpam-6685	202	12	rh	rh	PROPN
ejpam-6685	202	13	,	,	PUNCT
ejpam-6685	202	14	sv	sv	PROPN
ejpam-6685	202	15	,	,	PUNCT
ejpam-6685	202	16	iv	iv	NOUN
ejpam-6685	202	17	,	,	PUNCT
ejpam-6685	202	18	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	202	19	,	,	PUNCT
ejpam-6685	202	20	vh(t	vh(t	NUM
ejpam-6685	202	21	)	)	PUNCT
ejpam-6685	203	1	=	=	SYM
ejpam-6685	203	2	vh(0	vh(0	NOUN
ejpam-6685	203	3	)	)	PUNCT
ejpam-6685	204	1	+	+	NUM
ejpam-6685	204	2	κ	κ	X
ejpam-6685	204	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	204	4	)	)	PUNCT
ejpam-6685	205	1	∫	∫	PROPN
ejpam-6685	205	2	t	t	PROPN
ejpam-6685	205	3	0	0	NUM
ejpam-6685	205	4	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	205	5	−	−	PROPN
ejpam-6685	205	6	ξ)ρ−1g2(sh	ξ)ρ−1g2(sh	PROPN
ejpam-6685	205	7	,	,	PUNCT
ejpam-6685	205	8	vh	vh	PROPN
ejpam-6685	205	9	,	,	PUNCT
ejpam-6685	205	10	ih	ih	X
ejpam-6685	205	11	,	,	PUNCT
ejpam-6685	205	12	rh	rh	PROPN
ejpam-6685	205	13	,	,	PUNCT
ejpam-6685	205	14	sv	sv	PROPN
ejpam-6685	205	15	,	,	PUNCT
ejpam-6685	205	16	iv	iv	NOUN
ejpam-6685	205	17	,	,	PUNCT
ejpam-6685	205	18	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	205	19	,	,	PUNCT
ejpam-6685	205	20	ih(t	ih(t	X
ejpam-6685	205	21	)	)	PUNCT
ejpam-6685	205	22	=	=	SYM
ejpam-6685	205	23	ih(0	ih(0	NOUN
ejpam-6685	205	24	)	)	PUNCT
ejpam-6685	205	25	+	+	NUM
ejpam-6685	205	26	κ	κ	X
ejpam-6685	205	27	γ(ρ	γ(ρ	PROPN
ejpam-6685	205	28	)	)	PUNCT
ejpam-6685	206	1	∫	∫	PROPN
ejpam-6685	206	2	t	t	PROPN
ejpam-6685	206	3	0	0	NUM
ejpam-6685	206	4	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	206	5	−	−	PROPN
ejpam-6685	206	6	ξ)ρ−1g3(sh	ξ)ρ−1g3(sh	PROPN
ejpam-6685	206	7	,	,	PUNCT
ejpam-6685	206	8	vh	vh	PROPN
ejpam-6685	206	9	,	,	PUNCT
ejpam-6685	206	10	ih	ih	X
ejpam-6685	206	11	,	,	PUNCT
ejpam-6685	206	12	rh	rh	PROPN
ejpam-6685	206	13	,	,	PUNCT
ejpam-6685	206	14	sv	sv	PROPN
ejpam-6685	206	15	,	,	PUNCT
ejpam-6685	206	16	iv	iv	NOUN
ejpam-6685	206	17	,	,	PUNCT
ejpam-6685	206	18	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	206	19	,	,	PUNCT
ejpam-6685	206	20	rh(t	rh(t	PUNCT
ejpam-6685	206	21	)	)	PUNCT
ejpam-6685	206	22	=	=	SYM
ejpam-6685	206	23	rh(0	rh(0	NOUN
ejpam-6685	206	24	)	)	PUNCT
ejpam-6685	207	1	+	+	NUM
ejpam-6685	207	2	κ	κ	X
ejpam-6685	207	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	207	4	)	)	PUNCT
ejpam-6685	208	1	∫	∫	PROPN
ejpam-6685	208	2	t	t	PROPN
ejpam-6685	208	3	0	0	NUM
ejpam-6685	208	4	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	208	5	−	−	NOUN
ejpam-6685	208	6	ξ)ρ−1g4(sh	ξ)ρ−1g4(sh	PROPN
ejpam-6685	208	7	,	,	PUNCT
ejpam-6685	208	8	vh	vh	PROPN
ejpam-6685	208	9	,	,	PUNCT
ejpam-6685	208	10	ih	ih	X
ejpam-6685	208	11	,	,	PUNCT
ejpam-6685	208	12	rh	rh	PROPN
ejpam-6685	208	13	,	,	PUNCT
ejpam-6685	208	14	sv	sv	PROPN
ejpam-6685	208	15	,	,	PUNCT
ejpam-6685	208	16	iv	iv	NOUN
ejpam-6685	208	17	,	,	PUNCT
ejpam-6685	208	18	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	208	19	,	,	PUNCT
ejpam-6685	208	20	sv(t	sv(t	NOUN
ejpam-6685	208	21	)	)	PUNCT
ejpam-6685	208	22	=	=	SYM
ejpam-6685	208	23	rv(0	rv(0	NOUN
ejpam-6685	208	24	)	)	PUNCT
ejpam-6685	208	25	+	+	NUM
ejpam-6685	208	26	κ	κ	X
ejpam-6685	208	27	γ(ρ	γ(ρ	PROPN
ejpam-6685	208	28	)	)	PUNCT
ejpam-6685	208	29	∫	∫	PROPN
ejpam-6685	208	30	t	t	PROPN
ejpam-6685	208	31	0	0	NUM
ejpam-6685	208	32	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	208	33	−	−	PROPN
ejpam-6685	208	34	ξ)ρ−1g5(sh	ξ)ρ−1g5(sh	PROPN
ejpam-6685	208	35	,	,	PUNCT
ejpam-6685	208	36	vh	vh	PROPN
ejpam-6685	208	37	,	,	PUNCT
ejpam-6685	208	38	ih	ih	X
ejpam-6685	208	39	,	,	PUNCT
ejpam-6685	208	40	rh	rh	PROPN
ejpam-6685	208	41	,	,	PUNCT
ejpam-6685	208	42	sv	sv	PROPN
ejpam-6685	208	43	,	,	PUNCT
ejpam-6685	208	44	iv	iv	NOUN
ejpam-6685	208	45	,	,	PUNCT
ejpam-6685	208	46	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	208	47	,	,	PUNCT
ejpam-6685	208	48	iv(t	iv(t	PUNCT
ejpam-6685	208	49	)	)	PUNCT
ejpam-6685	208	50	=	=	SYM
ejpam-6685	208	51	iv(0	iv(0	NOUN
ejpam-6685	208	52	)	)	PUNCT
ejpam-6685	208	53	+	+	NUM
ejpam-6685	208	54	κ	κ	X
ejpam-6685	208	55	γ(ρ	γ(ρ	PROPN
ejpam-6685	208	56	)	)	PUNCT
ejpam-6685	208	57	∫	∫	PROPN
ejpam-6685	208	58	t	t	PROPN
ejpam-6685	208	59	0	0	NUM
ejpam-6685	208	60	ξκ−1(tn+1	ξκ−1(tn+1	NOUN
ejpam-6685	208	61	−	−	PROPN
ejpam-6685	208	62	ξ)ρ−1g6(sh	ξ)ρ−1g6(sh	PROPN
ejpam-6685	208	63	,	,	PUNCT
ejpam-6685	208	64	vh	vh	PROPN
ejpam-6685	208	65	,	,	PUNCT
ejpam-6685	208	66	ih	ih	X
ejpam-6685	208	67	,	,	PUNCT
ejpam-6685	208	68	rh	rh	PROPN
ejpam-6685	208	69	,	,	PUNCT
ejpam-6685	208	70	sv	sv	PROPN
ejpam-6685	208	71	,	,	PUNCT
ejpam-6685	208	72	iv	iv	NOUN
ejpam-6685	208	73	,	,	PUNCT
ejpam-6685	208	74	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	208	75	.	.	PROPN
ejpam-6685	208	76	(	(	PUNCT
ejpam-6685	208	77	14	14	NUM
ejpam-6685	208	78	)	)	PUNCT
ejpam-6685	208	79	m.	m.	NOUN
ejpam-6685	208	80	alsulami	alsulami	NOUN
ejpam-6685	208	81	,	,	PUNCT
ejpam-6685	208	82	r.	r.	PROPN
ejpam-6685	208	83	jan	jan	PROPN
ejpam-6685	208	84	,	,	PUNCT
ejpam-6685	208	85	e.	e.	PROPN
ejpam-6685	208	86	antonescu	antonescu	PROPN
ejpam-6685	208	87	/	/	SYM
ejpam-6685	208	88	eur	eur	PROPN
ejpam-6685	208	89	.	.	PUNCT
ejpam-6685	209	1	j.	j.	PROPN
ejpam-6685	209	2	pure	pure	PROPN
ejpam-6685	209	3	appl	appl	PROPN
ejpam-6685	209	4	.	.	PROPN
ejpam-6685	209	5	math	math	PROPN
ejpam-6685	209	6	,	,	PUNCT
ejpam-6685	209	7	18	18	NUM
ejpam-6685	209	8	(	(	PUNCT
ejpam-6685	209	9	3	3	NUM
ejpam-6685	209	10	)	)	PUNCT
ejpam-6685	209	11	(	(	PUNCT
ejpam-6685	209	12	2025	2025	NUM
ejpam-6685	209	13	)	)	PUNCT
ejpam-6685	209	14	,	,	PUNCT
ejpam-6685	209	15	6685	6685	NUM
ejpam-6685	209	16	9	9	NUM
ejpam-6685	209	17	of	of	ADP
ejpam-6685	209	18	19	19	NUM
ejpam-6685	209	19	approximation	approximation	NOUN
ejpam-6685	209	20	of	of	ADP
ejpam-6685	209	21	(	(	PUNCT
ejpam-6685	209	22	14	14	NUM
ejpam-6685	209	23	)	)	PUNCT
ejpam-6685	209	24	implies	imply	VERB
ejpam-6685	209	25	s	s	VERB
ejpam-6685	209	26	m+1	m+1	NUM
ejpam-6685	209	27	h	h	NOUN
ejpam-6685	209	28	=	=	SYM
ejpam-6685	209	29	s	s	PART
ejpam-6685	209	30	0	0	NUM
ejpam-6685	209	31	h	h	NOUN
ejpam-6685	209	32	+	+	ADP
ejpam-6685	209	33	κ	κ	X
ejpam-6685	209	34	γ(ρ	γ(ρ	PROPN
ejpam-6685	209	35	)	)	PUNCT
ejpam-6685	209	36	m∑	m∑	VERB
ejpam-6685	209	37	j=0	j=0	PROPN
ejpam-6685	209	38	∫	∫	PROPN
ejpam-6685	210	1	tj+1	tj+1	PROPN
ejpam-6685	210	2	tj	tj	PROPN
ejpam-6685	210	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	210	4	−	−	PROPN
ejpam-6685	210	5	ξ)ρ−1g1(sh	ξ)ρ−1g1(sh	PROPN
ejpam-6685	210	6	,	,	PUNCT
ejpam-6685	210	7	vh	vh	PROPN
ejpam-6685	210	8	,	,	PUNCT
ejpam-6685	210	9	ih	ih	X
ejpam-6685	210	10	,	,	PUNCT
ejpam-6685	210	11	rh	rh	PROPN
ejpam-6685	210	12	,	,	PUNCT
ejpam-6685	210	13	sv	sv	PROPN
ejpam-6685	210	14	,	,	PUNCT
ejpam-6685	210	15	iv	iv	NOUN
ejpam-6685	210	16	,	,	PUNCT
ejpam-6685	210	17	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	210	18	,	,	PUNCT
ejpam-6685	210	19	v	v	ADP
ejpam-6685	210	20	m+1	m+1	NUM
ejpam-6685	210	21	h	h	NOUN
ejpam-6685	210	22	=	=	SYM
ejpam-6685	210	23	v	v	ADP
ejpam-6685	210	24	0	0	NUM
ejpam-6685	211	1	h	h	NOUN
ejpam-6685	212	1	+	+	ADP
ejpam-6685	212	2	κ	κ	X
ejpam-6685	212	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	212	4	)	)	PUNCT
ejpam-6685	212	5	m∑	m∑	VERB
ejpam-6685	212	6	j=0	j=0	PROPN
ejpam-6685	212	7	∫	∫	PROPN
ejpam-6685	212	8	tj+1	tj+1	PROPN
ejpam-6685	212	9	tj	tj	PROPN
ejpam-6685	212	10	ξκ−1(tm+1	ξκ−1(tm+1	PROPN
ejpam-6685	212	11	−	−	PROPN
ejpam-6685	212	12	ξ)ρ−1g2(sh	ξ)ρ−1g2(sh	PROPN
ejpam-6685	212	13	,	,	PUNCT
ejpam-6685	212	14	vh	vh	PROPN
ejpam-6685	212	15	,	,	PUNCT
ejpam-6685	212	16	ih	ih	X
ejpam-6685	212	17	,	,	PUNCT
ejpam-6685	212	18	rh	rh	PROPN
ejpam-6685	212	19	,	,	PUNCT
ejpam-6685	212	20	sv	sv	PROPN
ejpam-6685	212	21	,	,	PUNCT
ejpam-6685	212	22	iv	iv	NOUN
ejpam-6685	212	23	,	,	PUNCT
ejpam-6685	212	24	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	212	25	,	,	PUNCT
ejpam-6685	212	26	i	i	PRON
ejpam-6685	212	27	m+1	m+1	NUM
ejpam-6685	212	28	h	h	NOUN
ejpam-6685	213	1	=	=	PUNCT
ejpam-6685	213	2	i	i	NOUN
ejpam-6685	213	3	0	0	NUM
ejpam-6685	213	4	h	h	NOUN
ejpam-6685	214	1	+	+	X
ejpam-6685	214	2	κ	κ	X
ejpam-6685	214	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	214	4	)	)	PUNCT
ejpam-6685	214	5	m∑	m∑	VERB
ejpam-6685	214	6	j=0	j=0	PROPN
ejpam-6685	214	7	∫	∫	PROPN
ejpam-6685	214	8	tj+1	tj+1	PROPN
ejpam-6685	214	9	tj	tj	X
ejpam-6685	214	10	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	214	11	−	−	PROPN
ejpam-6685	214	12	ξ)ρ−1g3(sh	ξ)ρ−1g3(sh	PROPN
ejpam-6685	214	13	,	,	PUNCT
ejpam-6685	214	14	vh	vh	PROPN
ejpam-6685	214	15	,	,	PUNCT
ejpam-6685	214	16	ih	ih	X
ejpam-6685	214	17	,	,	PUNCT
ejpam-6685	214	18	rh	rh	PROPN
ejpam-6685	214	19	,	,	PUNCT
ejpam-6685	214	20	sv	sv	PROPN
ejpam-6685	214	21	,	,	PUNCT
ejpam-6685	214	22	iv	iv	NOUN
ejpam-6685	214	23	,	,	PUNCT
ejpam-6685	214	24	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	214	25	,	,	PUNCT
ejpam-6685	214	26	rm+1	rm+1	PROPN
ejpam-6685	214	27	h	h	NOUN
ejpam-6685	214	28	=	=	SYM
ejpam-6685	214	29	r0	r0	NOUN
ejpam-6685	214	30	h	h	NOUN
ejpam-6685	214	31	+	+	CCONJ
ejpam-6685	214	32	κ	κ	X
ejpam-6685	214	33	γ(ρ	γ(ρ	PROPN
ejpam-6685	214	34	)	)	PUNCT
ejpam-6685	214	35	m∑	m∑	VERB
ejpam-6685	214	36	j=0	j=0	PROPN
ejpam-6685	214	37	∫	∫	PROPN
ejpam-6685	215	1	tj+1	tj+1	PROPN
ejpam-6685	215	2	tj	tj	PROPN
ejpam-6685	215	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	215	4	−	−	PROPN
ejpam-6685	215	5	ξ)ρ−1g4(sh	ξ)ρ−1g4(sh	PROPN
ejpam-6685	215	6	,	,	PUNCT
ejpam-6685	215	7	vh	vh	PROPN
ejpam-6685	215	8	,	,	PUNCT
ejpam-6685	215	9	ih	ih	X
ejpam-6685	215	10	,	,	PUNCT
ejpam-6685	215	11	rh	rh	PROPN
ejpam-6685	215	12	,	,	PUNCT
ejpam-6685	215	13	sv	sv	PROPN
ejpam-6685	215	14	,	,	PUNCT
ejpam-6685	215	15	iv	iv	NOUN
ejpam-6685	215	16	,	,	PUNCT
ejpam-6685	215	17	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	215	18	,	,	PUNCT
ejpam-6685	215	19	s	s	VERB
ejpam-6685	215	20	m+1	m+1	NUM
ejpam-6685	215	21	v	v	NOUN
ejpam-6685	215	22	=	=	SYM
ejpam-6685	215	23	s	s	PART
ejpam-6685	215	24	0	0	NUM
ejpam-6685	215	25	v	v	NOUN
ejpam-6685	215	26	+	+	PROPN
ejpam-6685	215	27	κ	κ	NOUN
ejpam-6685	215	28	γ(ρ	γ(ρ	PROPN
ejpam-6685	215	29	)	)	PUNCT
ejpam-6685	215	30	m∑	m∑	VERB
ejpam-6685	216	1	j=0	j=0	PROPN
ejpam-6685	216	2	∫	∫	PROPN
ejpam-6685	217	1	tj+1	tj+1	PROPN
ejpam-6685	217	2	tj	tj	PROPN
ejpam-6685	217	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	217	4	−	−	PROPN
ejpam-6685	217	5	ξ)ρ−1g5(sh	ξ)ρ−1g5(sh	PROPN
ejpam-6685	217	6	,	,	PUNCT
ejpam-6685	217	7	vh	vh	PROPN
ejpam-6685	217	8	,	,	PUNCT
ejpam-6685	217	9	ih	ih	X
ejpam-6685	217	10	,	,	PUNCT
ejpam-6685	217	11	rh	rh	PROPN
ejpam-6685	217	12	,	,	PUNCT
ejpam-6685	217	13	sv	sv	PROPN
ejpam-6685	217	14	,	,	PUNCT
ejpam-6685	217	15	iv	iv	NOUN
ejpam-6685	217	16	,	,	PUNCT
ejpam-6685	217	17	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	217	18	,	,	PUNCT
ejpam-6685	217	19	i	i	PRON
ejpam-6685	217	20	m+1	m+1	NUM
ejpam-6685	217	21	v	v	X
ejpam-6685	217	22	=	=	X
ejpam-6685	217	23	i	i	NOUN
ejpam-6685	217	24	0	0	NUM
ejpam-6685	217	25	v	v	NOUN
ejpam-6685	217	26	+	+	X
ejpam-6685	217	27	κ	κ	X
ejpam-6685	217	28	γ(ρ	γ(ρ	PROPN
ejpam-6685	217	29	)	)	PUNCT
ejpam-6685	218	1	m∑	m∑	VERB
ejpam-6685	218	2	j=0	j=0	PROPN
ejpam-6685	218	3	∫	∫	PROPN
ejpam-6685	219	1	tj+1	tj+1	PROPN
ejpam-6685	219	2	tj	tj	PROPN
ejpam-6685	219	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	219	4	−	−	PROPN
ejpam-6685	219	5	ξ)ρ−1g6(sh	ξ)ρ−1g6(sh	PROPN
ejpam-6685	219	6	,	,	PUNCT
ejpam-6685	219	7	vh	vh	PROPN
ejpam-6685	219	8	,	,	PUNCT
ejpam-6685	219	9	ih	ih	X
ejpam-6685	219	10	,	,	PUNCT
ejpam-6685	219	11	rh	rh	PROPN
ejpam-6685	219	12	,	,	PUNCT
ejpam-6685	219	13	sv	sv	PROPN
ejpam-6685	219	14	,	,	PUNCT
ejpam-6685	219	15	iv	iv	NOUN
ejpam-6685	219	16	,	,	PUNCT
ejpam-6685	219	17	ξ)dξ	ξ)dξ	PROPN
ejpam-6685	219	18	.	.	PROPN
ejpam-6685	219	19	(	(	PUNCT
ejpam-6685	219	20	15	15	NUM
ejpam-6685	219	21	)	)	PUNCT
ejpam-6685	219	22	additionally	additionally	ADV
ejpam-6685	219	23	,	,	PUNCT
ejpam-6685	219	24	the	the	DET
ejpam-6685	219	25	function	function	NOUN
ejpam-6685	219	26	ξκ−1g1(sh	ξκ−1g1(sh	PROPN
ejpam-6685	219	27	,	,	PUNCT
ejpam-6685	219	28	vh	vh	PROPN
ejpam-6685	219	29	,	,	PUNCT
ejpam-6685	219	30	ih	ih	X
ejpam-6685	219	31	,	,	PUNCT
ejpam-6685	219	32	rh	rh	PROPN
ejpam-6685	219	33	,	,	PUNCT
ejpam-6685	219	34	sv	sv	PROPN
ejpam-6685	219	35	,	,	PUNCT
ejpam-6685	219	36	iv	iv	PROPN
ejpam-6685	219	37	,	,	PUNCT
ejpam-6685	219	38	ξ	ξ	NOUN
ejpam-6685	219	39	)	)	PUNCT
ejpam-6685	219	40	on	on	ADP
ejpam-6685	219	41	the	the	DET
ejpam-6685	219	42	interval	interval	NOUN
ejpam-6685	220	1	[	[	X
ejpam-6685	220	2	tj	tj	X
ejpam-6685	220	3	,	,	PUNCT
ejpam-6685	220	4	tj+1	tj+1	PROPN
ejpam-6685	220	5	]	]	PUNCT
ejpam-6685	220	6	is	be	AUX
ejpam-6685	220	7	approximated	approximate	VERB
ejpam-6685	220	8	with	with	ADP
ejpam-6685	220	9	the	the	DET
ejpam-6685	220	10	help	help	NOUN
ejpam-6685	220	11	of	of	ADP
ejpam-6685	220	12	the	the	DET
ejpam-6685	220	13	lagrangian	lagrangian	ADJ
ejpam-6685	220	14	piece	piece	NOUN
ejpam-6685	220	15	-	-	PUNCT
ejpam-6685	220	16	wise	wise	ADJ
ejpam-6685	220	17	interpolation	interpolation	NOUN
ejpam-6685	220	18	as	as	ADP
ejpam-6685	220	19	:	:	PUNCT
ejpam-6685	220	20	pj(ξ	pj(ξ	NUM
ejpam-6685	220	21	)	)	PUNCT
ejpam-6685	220	22	=	=	SYM
ejpam-6685	221	1	ξ	ξ	PRON
ejpam-6685	221	2	−	−	NOUN
ejpam-6685	221	3	tj−1	tj−1	PROPN
ejpam-6685	221	4	tj	tj	NOUN
ejpam-6685	221	5	−	−	PROPN
ejpam-6685	221	6	tj−1	tj−1	PROPN
ejpam-6685	221	7	tκ−1	tκ−1	PROPN
ejpam-6685	221	8	j	j	PROPN
ejpam-6685	221	9	g1	g1	PROPN
ejpam-6685	221	10	(	(	PUNCT
ejpam-6685	221	11	s	s	VERB
ejpam-6685	221	12	j	j	PROPN
ejpam-6685	221	13	h	h	PROPN
ejpam-6685	221	14	,	,	PUNCT
ejpam-6685	221	15	v	v	PROPN
ejpam-6685	221	16	j	j	PROPN
ejpam-6685	221	17	h	h	NOUN
ejpam-6685	221	18	,	,	PUNCT
ejpam-6685	221	19	i	i	PRON
ejpam-6685	221	20	j	j	PROPN
ejpam-6685	221	21	h	h	NOUN
ejpam-6685	221	22	,	,	PUNCT
ejpam-6685	221	23	r	r	NOUN
ejpam-6685	221	24	j	j	PROPN
ejpam-6685	221	25	h	h	NOUN
ejpam-6685	221	26	,	,	PUNCT
ejpam-6685	221	27	s	s	PROPN
ejpam-6685	221	28	j	j	PROPN
ejpam-6685	221	29	v	v	NUM
ejpam-6685	221	30	,	,	PUNCT
ejpam-6685	221	31	i	i	PRON
ejpam-6685	221	32	j	j	PROPN
ejpam-6685	221	33	v	v	INTJ
ejpam-6685	221	34	,	,	PUNCT
ejpam-6685	221	35	tj	tj	PROPN
ejpam-6685	221	36	)	)	PUNCT
ejpam-6685	222	1	−	−	PROPN
ejpam-6685	223	1	ξ	ξ	X
ejpam-6685	223	2	−	−	PROPN
ejpam-6685	223	3	tj	tj	PROPN
ejpam-6685	223	4	tj	tj	PROPN
ejpam-6685	223	5	−	−	PROPN
ejpam-6685	223	6	tj−1	tj−1	PROPN
ejpam-6685	223	7	tκ−1	tκ−1	PROPN
ejpam-6685	223	8	j−1g1	j−1g1	PROPN
ejpam-6685	223	9	(	(	PUNCT
ejpam-6685	223	10	s	s	VERB
ejpam-6685	223	11	j−1	j−1	PROPN
ejpam-6685	223	12	h	h	NOUN
ejpam-6685	223	13	,	,	PUNCT
ejpam-6685	223	14	v	v	ADP
ejpam-6685	223	15	j−1	j−1	PROPN
ejpam-6685	223	16	h	h	NOUN
ejpam-6685	223	17	,	,	PUNCT
ejpam-6685	223	18	i	i	PROPN
ejpam-6685	223	19	j−1	j−1	PROPN
ejpam-6685	223	20	h	h	NOUN
ejpam-6685	223	21	,	,	PUNCT
ejpam-6685	223	22	rj−1	rj−1	NOUN
ejpam-6685	223	23	h	h	NOUN
ejpam-6685	223	24	,	,	PUNCT
ejpam-6685	223	25	s	s	PART
ejpam-6685	223	26	j−1	j−1	PROPN
ejpam-6685	223	27	v	v	NOUN
ejpam-6685	223	28	,	,	PUNCT
ejpam-6685	223	29	i	i	PROPN
ejpam-6685	223	30	j−1	j−1	PROPN
ejpam-6685	223	31	v	v	NOUN
ejpam-6685	223	32	,	,	PUNCT
ejpam-6685	223	33	tj−1	tj−1	PROPN
ejpam-6685	223	34	)	)	PUNCT
ejpam-6685	223	35	,	,	PUNCT
ejpam-6685	223	36	qj(ξ	qj(ξ	PROPN
ejpam-6685	223	37	)	)	PUNCT
ejpam-6685	223	38	=	=	SYM
ejpam-6685	224	1	ξ	ξ	PRON
ejpam-6685	224	2	−	−	NOUN
ejpam-6685	224	3	tj−1	tj−1	PROPN
ejpam-6685	224	4	tj	tj	NOUN
ejpam-6685	224	5	−	−	PROPN
ejpam-6685	224	6	tj−1	tj−1	NOUN
ejpam-6685	224	7	tκ−1	tκ−1	PROPN
ejpam-6685	224	8	j	j	PROPN
ejpam-6685	224	9	g2	g2	PROPN
ejpam-6685	224	10	(	(	PUNCT
ejpam-6685	224	11	s	s	VERB
ejpam-6685	224	12	j	j	PROPN
ejpam-6685	224	13	h	h	PROPN
ejpam-6685	224	14	,	,	PUNCT
ejpam-6685	225	1	v	v	PROPN
ejpam-6685	225	2	j	j	PROPN
ejpam-6685	225	3	h	h	NOUN
ejpam-6685	225	4	,	,	PUNCT
ejpam-6685	226	1	i	i	PRON
ejpam-6685	226	2	j	j	PROPN
ejpam-6685	226	3	h	h	NOUN
ejpam-6685	226	4	,	,	PUNCT
ejpam-6685	226	5	r	r	NOUN
ejpam-6685	226	6	j	j	PROPN
ejpam-6685	226	7	h	h	NOUN
ejpam-6685	226	8	,	,	PUNCT
ejpam-6685	226	9	s	s	PROPN
ejpam-6685	226	10	j	j	PROPN
ejpam-6685	226	11	v	v	NUM
ejpam-6685	226	12	,	,	PUNCT
ejpam-6685	226	13	i	i	PRON
ejpam-6685	226	14	j	j	PROPN
ejpam-6685	227	1	v	v	INTJ
ejpam-6685	227	2	,	,	PUNCT
ejpam-6685	227	3	tj	tj	PROPN
ejpam-6685	227	4	)	)	PUNCT
ejpam-6685	227	5	−	−	PROPN
ejpam-6685	228	1	ξ	ξ	X
ejpam-6685	228	2	−	−	PROPN
ejpam-6685	228	3	tj	tj	PROPN
ejpam-6685	228	4	tj	tj	PROPN
ejpam-6685	228	5	−	−	PROPN
ejpam-6685	228	6	tj−1	tj−1	PROPN
ejpam-6685	228	7	tκ−1	tκ−1	PROPN
ejpam-6685	228	8	j−1g2	j−1g2	PROPN
ejpam-6685	228	9	(	(	PUNCT
ejpam-6685	228	10	s	s	VERB
ejpam-6685	228	11	j−1	j−1	PROPN
ejpam-6685	228	12	h	h	NOUN
ejpam-6685	228	13	,	,	PUNCT
ejpam-6685	228	14	v	v	ADP
ejpam-6685	228	15	j−1	j−1	PROPN
ejpam-6685	228	16	h	h	NOUN
ejpam-6685	228	17	,	,	PUNCT
ejpam-6685	228	18	i	i	PROPN
ejpam-6685	228	19	j−1	j−1	PROPN
ejpam-6685	228	20	h	h	NOUN
ejpam-6685	228	21	,	,	PUNCT
ejpam-6685	228	22	rj−1	rj−1	NOUN
ejpam-6685	228	23	h	h	NOUN
ejpam-6685	228	24	,	,	PUNCT
ejpam-6685	228	25	s	s	PART
ejpam-6685	228	26	j−1	j−1	PROPN
ejpam-6685	228	27	v	v	NOUN
ejpam-6685	228	28	,	,	PUNCT
ejpam-6685	228	29	i	i	PROPN
ejpam-6685	228	30	j−1	j−1	PROPN
ejpam-6685	228	31	v	v	NOUN
ejpam-6685	228	32	,	,	PUNCT
ejpam-6685	228	33	tj−1	tj−1	NOUN
ejpam-6685	228	34	)	)	PUNCT
ejpam-6685	228	35	,	,	PUNCT
ejpam-6685	228	36	rj(ξ	rj(ξ	NOUN
ejpam-6685	228	37	)	)	PUNCT
ejpam-6685	228	38	=	=	SYM
ejpam-6685	229	1	ξ	ξ	PRON
ejpam-6685	229	2	−	−	NOUN
ejpam-6685	229	3	tj−1	tj−1	PROPN
ejpam-6685	229	4	tj	tj	NOUN
ejpam-6685	229	5	−	−	PROPN
ejpam-6685	229	6	tj−1	tj−1	PROPN
ejpam-6685	229	7	tκ−1	tκ−1	PROPN
ejpam-6685	229	8	j	j	PROPN
ejpam-6685	229	9	g3	g3	PROPN
ejpam-6685	229	10	(	(	PUNCT
ejpam-6685	229	11	s	s	VERB
ejpam-6685	229	12	j	j	PROPN
ejpam-6685	229	13	h	h	PROPN
ejpam-6685	229	14	,	,	PUNCT
ejpam-6685	229	15	v	v	PROPN
ejpam-6685	229	16	j	j	PROPN
ejpam-6685	229	17	h	h	NOUN
ejpam-6685	229	18	,	,	PUNCT
ejpam-6685	229	19	i	i	PRON
ejpam-6685	229	20	j	j	PROPN
ejpam-6685	229	21	h	h	NOUN
ejpam-6685	229	22	,	,	PUNCT
ejpam-6685	229	23	r	r	NOUN
ejpam-6685	229	24	j	j	PROPN
ejpam-6685	229	25	h	h	NOUN
ejpam-6685	229	26	,	,	PUNCT
ejpam-6685	229	27	s	s	PROPN
ejpam-6685	229	28	j	j	PROPN
ejpam-6685	229	29	v	v	NUM
ejpam-6685	229	30	,	,	PUNCT
ejpam-6685	229	31	i	i	PRON
ejpam-6685	229	32	j	j	PROPN
ejpam-6685	230	1	v	v	INTJ
ejpam-6685	230	2	,	,	PUNCT
ejpam-6685	230	3	tj	tj	PROPN
ejpam-6685	230	4	)	)	PUNCT
ejpam-6685	230	5	−	−	PROPN
ejpam-6685	231	1	ξ	ξ	X
ejpam-6685	231	2	−	−	PROPN
ejpam-6685	231	3	tj	tj	PROPN
ejpam-6685	231	4	tj	tj	PROPN
ejpam-6685	231	5	−	−	PROPN
ejpam-6685	231	6	tj−1	tj−1	PROPN
ejpam-6685	231	7	tκ−1	tκ−1	PROPN
ejpam-6685	231	8	j−1g3	j−1g3	NOUN
ejpam-6685	231	9	(	(	PUNCT
ejpam-6685	231	10	s	s	VERB
ejpam-6685	231	11	j−1	j−1	PROPN
ejpam-6685	231	12	h	h	NOUN
ejpam-6685	231	13	,	,	PUNCT
ejpam-6685	231	14	v	v	ADP
ejpam-6685	231	15	j−1	j−1	PROPN
ejpam-6685	231	16	h	h	NOUN
ejpam-6685	231	17	,	,	PUNCT
ejpam-6685	231	18	i	i	PROPN
ejpam-6685	231	19	j−1	j−1	PROPN
ejpam-6685	231	20	h	h	NOUN
ejpam-6685	231	21	,	,	PUNCT
ejpam-6685	231	22	rj−1	rj−1	NOUN
ejpam-6685	231	23	h	h	NOUN
ejpam-6685	231	24	,	,	PUNCT
ejpam-6685	231	25	s	s	PART
ejpam-6685	231	26	j−1	j−1	PROPN
ejpam-6685	231	27	v	v	NOUN
ejpam-6685	231	28	,	,	PUNCT
ejpam-6685	231	29	i	i	PROPN
ejpam-6685	231	30	j−1	j−1	PROPN
ejpam-6685	231	31	v	v	NOUN
ejpam-6685	231	32	,	,	PUNCT
ejpam-6685	231	33	tj−1	tj−1	NOUN
ejpam-6685	231	34	)	)	PUNCT
ejpam-6685	231	35	,	,	PUNCT
ejpam-6685	231	36	sj(ξ	sj(ξ	PUNCT
ejpam-6685	231	37	)	)	PUNCT
ejpam-6685	231	38	=	=	SYM
ejpam-6685	232	1	ξ	ξ	PRON
ejpam-6685	232	2	−	−	NOUN
ejpam-6685	232	3	tj−1	tj−1	PROPN
ejpam-6685	232	4	tj	tj	NOUN
ejpam-6685	232	5	−	−	PROPN
ejpam-6685	232	6	tj−1	tj−1	NOUN
ejpam-6685	232	7	tκ−1	tκ−1	PROPN
ejpam-6685	232	8	j	j	PROPN
ejpam-6685	232	9	g4	g4	NOUN
ejpam-6685	232	10	(	(	PUNCT
ejpam-6685	232	11	s	s	VERB
ejpam-6685	232	12	j	j	PROPN
ejpam-6685	232	13	h	h	PROPN
ejpam-6685	232	14	,	,	PUNCT
ejpam-6685	232	15	v	v	PROPN
ejpam-6685	232	16	j	j	PROPN
ejpam-6685	232	17	h	h	NOUN
ejpam-6685	232	18	,	,	PUNCT
ejpam-6685	233	1	i	i	PRON
ejpam-6685	233	2	j	j	PROPN
ejpam-6685	233	3	h	h	NOUN
ejpam-6685	233	4	,	,	PUNCT
ejpam-6685	233	5	r	r	NOUN
ejpam-6685	233	6	j	j	PROPN
ejpam-6685	233	7	h	h	NOUN
ejpam-6685	233	8	,	,	PUNCT
ejpam-6685	233	9	s	s	PROPN
ejpam-6685	233	10	j	j	PROPN
ejpam-6685	233	11	v	v	NUM
ejpam-6685	233	12	,	,	PUNCT
ejpam-6685	233	13	i	i	PRON
ejpam-6685	233	14	j	j	PROPN
ejpam-6685	234	1	v	v	INTJ
ejpam-6685	234	2	,	,	PUNCT
ejpam-6685	234	3	tj	tj	PROPN
ejpam-6685	234	4	)	)	PUNCT
ejpam-6685	234	5	−	−	PROPN
ejpam-6685	235	1	ξ	ξ	X
ejpam-6685	235	2	−	−	PROPN
ejpam-6685	235	3	tj	tj	PROPN
ejpam-6685	235	4	tj	tj	PROPN
ejpam-6685	235	5	−	−	PROPN
ejpam-6685	235	6	tj−1	tj−1	PROPN
ejpam-6685	235	7	tκ−1	tκ−1	PROPN
ejpam-6685	235	8	j−1g4	j−1g4	ADV
ejpam-6685	235	9	(	(	PUNCT
ejpam-6685	235	10	s	s	VERB
ejpam-6685	235	11	j−1	j−1	PROPN
ejpam-6685	235	12	h	h	NOUN
ejpam-6685	235	13	,	,	PUNCT
ejpam-6685	235	14	v	v	ADP
ejpam-6685	235	15	j−1	j−1	PROPN
ejpam-6685	235	16	h	h	NOUN
ejpam-6685	235	17	,	,	PUNCT
ejpam-6685	235	18	i	i	PROPN
ejpam-6685	235	19	j−1	j−1	PROPN
ejpam-6685	235	20	h	h	NOUN
ejpam-6685	235	21	,	,	PUNCT
ejpam-6685	235	22	rj−1	rj−1	NOUN
ejpam-6685	235	23	h	h	NOUN
ejpam-6685	235	24	,	,	PUNCT
ejpam-6685	235	25	s	s	PART
ejpam-6685	235	26	j−1	j−1	PROPN
ejpam-6685	235	27	v	v	NOUN
ejpam-6685	235	28	,	,	PUNCT
ejpam-6685	235	29	i	i	PROPN
ejpam-6685	235	30	j−1	j−1	PROPN
ejpam-6685	235	31	v	v	NOUN
ejpam-6685	235	32	,	,	PUNCT
ejpam-6685	235	33	tj−1	tj−1	NOUN
ejpam-6685	235	34	)	)	PUNCT
ejpam-6685	235	35	,	,	PUNCT
ejpam-6685	235	36	tj(ξ	tj(ξ	NOUN
ejpam-6685	235	37	)	)	PUNCT
ejpam-6685	235	38	=	=	SYM
ejpam-6685	236	1	ξ	ξ	PRON
ejpam-6685	236	2	−	−	NOUN
ejpam-6685	236	3	tj−1	tj−1	PROPN
ejpam-6685	236	4	tj	tj	NOUN
ejpam-6685	236	5	−	−	PROPN
ejpam-6685	236	6	tj−1	tj−1	NOUN
ejpam-6685	236	7	tκ−1	tκ−1	PROPN
ejpam-6685	236	8	j	j	PROPN
ejpam-6685	236	9	g5	g5	PROPN
ejpam-6685	236	10	(	(	PUNCT
ejpam-6685	236	11	s	s	VERB
ejpam-6685	236	12	j	j	PROPN
ejpam-6685	236	13	h	h	PROPN
ejpam-6685	236	14	,	,	PUNCT
ejpam-6685	236	15	v	v	PROPN
ejpam-6685	236	16	j	j	PROPN
ejpam-6685	236	17	h	h	NOUN
ejpam-6685	236	18	,	,	PUNCT
ejpam-6685	236	19	i	i	PRON
ejpam-6685	236	20	j	j	PROPN
ejpam-6685	236	21	h	h	NOUN
ejpam-6685	236	22	,	,	PUNCT
ejpam-6685	236	23	r	r	NOUN
ejpam-6685	236	24	j	j	PROPN
ejpam-6685	236	25	h	h	NOUN
ejpam-6685	236	26	,	,	PUNCT
ejpam-6685	236	27	s	s	PROPN
ejpam-6685	236	28	j	j	PROPN
ejpam-6685	236	29	v	v	NUM
ejpam-6685	236	30	,	,	PUNCT
ejpam-6685	236	31	i	i	PRON
ejpam-6685	236	32	j	j	PROPN
ejpam-6685	237	1	v	v	INTJ
ejpam-6685	237	2	,	,	PUNCT
ejpam-6685	237	3	tj	tj	PROPN
ejpam-6685	237	4	)	)	PUNCT
ejpam-6685	237	5	−	−	PROPN
ejpam-6685	238	1	ξ	ξ	X
ejpam-6685	238	2	−	−	PROPN
ejpam-6685	238	3	tj	tj	PROPN
ejpam-6685	238	4	tj	tj	PROPN
ejpam-6685	238	5	−	−	PROPN
ejpam-6685	238	6	tj−1	tj−1	NOUN
ejpam-6685	238	7	tκ−1	tκ−1	PROPN
ejpam-6685	238	8	j−1g5	j−1g5	NOUN
ejpam-6685	238	9	(	(	PUNCT
ejpam-6685	238	10	s	s	VERB
ejpam-6685	238	11	j−1	j−1	PROPN
ejpam-6685	238	12	h	h	NOUN
ejpam-6685	238	13	,	,	PUNCT
ejpam-6685	238	14	v	v	ADP
ejpam-6685	238	15	j−1	j−1	PROPN
ejpam-6685	238	16	h	h	NOUN
ejpam-6685	238	17	,	,	PUNCT
ejpam-6685	238	18	i	i	PROPN
ejpam-6685	238	19	j−1	j−1	PROPN
ejpam-6685	238	20	h	h	NOUN
ejpam-6685	238	21	,	,	PUNCT
ejpam-6685	238	22	rj−1	rj−1	NOUN
ejpam-6685	238	23	h	h	NOUN
ejpam-6685	238	24	,	,	PUNCT
ejpam-6685	238	25	s	s	PART
ejpam-6685	238	26	j−1	j−1	PROPN
ejpam-6685	238	27	v	v	NOUN
ejpam-6685	238	28	,	,	PUNCT
ejpam-6685	238	29	i	i	PROPN
ejpam-6685	238	30	j−1	j−1	PROPN
ejpam-6685	238	31	v	v	NOUN
ejpam-6685	238	32	,	,	PUNCT
ejpam-6685	238	33	tj−1	tj−1	NOUN
ejpam-6685	238	34	)	)	PUNCT
ejpam-6685	238	35	,	,	PUNCT
ejpam-6685	238	36	m.	m.	NOUN
ejpam-6685	238	37	alsulami	alsulami	PROPN
ejpam-6685	238	38	,	,	PUNCT
ejpam-6685	238	39	r.	r.	PROPN
ejpam-6685	238	40	jan	jan	PROPN
ejpam-6685	238	41	,	,	PUNCT
ejpam-6685	238	42	e.	e.	PROPN
ejpam-6685	238	43	antonescu	antonescu	PROPN
ejpam-6685	238	44	/	/	SYM
ejpam-6685	238	45	eur	eur	PROPN
ejpam-6685	238	46	.	.	PUNCT
ejpam-6685	239	1	j.	j.	PROPN
ejpam-6685	239	2	pure	pure	PROPN
ejpam-6685	239	3	appl	appl	PROPN
ejpam-6685	239	4	.	.	PROPN
ejpam-6685	239	5	math	math	PROPN
ejpam-6685	239	6	,	,	PUNCT
ejpam-6685	239	7	18	18	NUM
ejpam-6685	239	8	(	(	PUNCT
ejpam-6685	239	9	3	3	NUM
ejpam-6685	239	10	)	)	PUNCT
ejpam-6685	239	11	(	(	PUNCT
ejpam-6685	239	12	2025	2025	NUM
ejpam-6685	239	13	)	)	PUNCT
ejpam-6685	239	14	,	,	PUNCT
ejpam-6685	239	15	6685	6685	NUM
ejpam-6685	239	16	10	10	NUM
ejpam-6685	239	17	of	of	ADP
ejpam-6685	239	18	19	19	NUM
ejpam-6685	239	19	uj(ξ	uj(ξ	NOUN
ejpam-6685	239	20	)	)	PUNCT
ejpam-6685	239	21	=	=	PUNCT
ejpam-6685	240	1	ξ	ξ	PRON
ejpam-6685	240	2	−	−	NOUN
ejpam-6685	240	3	tj−1	tj−1	PROPN
ejpam-6685	240	4	tj	tj	NOUN
ejpam-6685	240	5	−	−	PROPN
ejpam-6685	240	6	tj−1	tj−1	NOUN
ejpam-6685	240	7	tκ−1	tκ−1	PROPN
ejpam-6685	240	8	j	j	PROPN
ejpam-6685	240	9	g6	g6	PROPN
ejpam-6685	240	10	(	(	PUNCT
ejpam-6685	240	11	s	s	VERB
ejpam-6685	240	12	j	j	PROPN
ejpam-6685	240	13	h	h	PROPN
ejpam-6685	240	14	,	,	PUNCT
ejpam-6685	240	15	v	v	PROPN
ejpam-6685	240	16	j	j	PROPN
ejpam-6685	240	17	h	h	NOUN
ejpam-6685	240	18	,	,	PUNCT
ejpam-6685	240	19	i	i	PRON
ejpam-6685	240	20	j	j	PROPN
ejpam-6685	240	21	h	h	NOUN
ejpam-6685	240	22	,	,	PUNCT
ejpam-6685	240	23	r	r	NOUN
ejpam-6685	240	24	j	j	PROPN
ejpam-6685	240	25	h	h	NOUN
ejpam-6685	240	26	,	,	PUNCT
ejpam-6685	240	27	s	s	PROPN
ejpam-6685	240	28	j	j	PROPN
ejpam-6685	240	29	v	v	NUM
ejpam-6685	240	30	,	,	PUNCT
ejpam-6685	240	31	i	i	PRON
ejpam-6685	240	32	j	j	PROPN
ejpam-6685	241	1	v	v	INTJ
ejpam-6685	241	2	,	,	PUNCT
ejpam-6685	241	3	tj	tj	PROPN
ejpam-6685	241	4	)	)	PUNCT
ejpam-6685	241	5	−	−	PROPN
ejpam-6685	242	1	ξ	ξ	X
ejpam-6685	242	2	−	−	PROPN
ejpam-6685	242	3	tj	tj	PROPN
ejpam-6685	242	4	tj	tj	PROPN
ejpam-6685	242	5	−	−	PROPN
ejpam-6685	242	6	tj−1	tj−1	NOUN
ejpam-6685	242	7	tκ−1	tκ−1	PROPN
ejpam-6685	242	8	j−1g6	j−1g6	PROPN
ejpam-6685	242	9	(	(	PUNCT
ejpam-6685	242	10	s	s	VERB
ejpam-6685	242	11	j−1	j−1	PROPN
ejpam-6685	242	12	h	h	NOUN
ejpam-6685	242	13	,	,	PUNCT
ejpam-6685	242	14	v	v	ADP
ejpam-6685	242	15	j−1	j−1	PROPN
ejpam-6685	242	16	h	h	NOUN
ejpam-6685	242	17	,	,	PUNCT
ejpam-6685	242	18	i	i	PROPN
ejpam-6685	242	19	j−1	j−1	PROPN
ejpam-6685	242	20	h	h	NOUN
ejpam-6685	242	21	,	,	PUNCT
ejpam-6685	242	22	rj−1	rj−1	NOUN
ejpam-6685	242	23	h	h	NOUN
ejpam-6685	242	24	,	,	PUNCT
ejpam-6685	242	25	s	s	PART
ejpam-6685	242	26	j−1	j−1	PROPN
ejpam-6685	242	27	v	v	NOUN
ejpam-6685	242	28	,	,	PUNCT
ejpam-6685	242	29	i	i	PROPN
ejpam-6685	242	30	j−1	j−1	PROPN
ejpam-6685	242	31	v	v	NOUN
ejpam-6685	242	32	,	,	PUNCT
ejpam-6685	242	33	tj−1	tj−1	NOUN
ejpam-6685	242	34	)	)	PUNCT
ejpam-6685	242	35	.	.	PUNCT
ejpam-6685	243	1	(	(	PUNCT
ejpam-6685	243	2	16	16	NUM
ejpam-6685	243	3	)	)	PUNCT
ejpam-6685	243	4	thus	thus	ADV
ejpam-6685	243	5	,	,	PUNCT
ejpam-6685	243	6	we	we	PRON
ejpam-6685	243	7	have	have	VERB
ejpam-6685	243	8	s	s	VERB
ejpam-6685	243	9	m+1	m+1	NUM
ejpam-6685	243	10	h	h	NOUN
ejpam-6685	243	11	=	=	SYM
ejpam-6685	243	12	s	s	PART
ejpam-6685	243	13	0	0	NUM
ejpam-6685	243	14	h	h	NOUN
ejpam-6685	243	15	+	+	ADP
ejpam-6685	243	16	κ	κ	X
ejpam-6685	243	17	γ(ρ	γ(ρ	PROPN
ejpam-6685	243	18	)	)	PUNCT
ejpam-6685	243	19	m∑	m∑	VERB
ejpam-6685	243	20	j=0	j=0	PROPN
ejpam-6685	243	21	∫	∫	PROPN
ejpam-6685	244	1	tj+1	tj+1	PROPN
ejpam-6685	244	2	tj	tj	PROPN
ejpam-6685	244	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	244	4	−	−	PROPN
ejpam-6685	244	5	ξ)ρ−1pj(ξ)dξ	ξ)ρ−1pj(ξ)dξ	NOUN
ejpam-6685	244	6	,	,	PUNCT
ejpam-6685	244	7	v	v	ADP
ejpam-6685	244	8	m+1	m+1	NUM
ejpam-6685	244	9	h	h	NOUN
ejpam-6685	244	10	=	=	SYM
ejpam-6685	244	11	v	v	ADP
ejpam-6685	244	12	0	0	NUM
ejpam-6685	245	1	h	h	NOUN
ejpam-6685	246	1	+	+	ADP
ejpam-6685	246	2	κ	κ	X
ejpam-6685	246	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	246	4	)	)	PUNCT
ejpam-6685	246	5	m∑	m∑	VERB
ejpam-6685	246	6	j=0	j=0	PROPN
ejpam-6685	246	7	∫	∫	PROPN
ejpam-6685	246	8	tj+1	tj+1	PROPN
ejpam-6685	246	9	tj	tj	PROPN
ejpam-6685	246	10	ξκ−1(tm+1	ξκ−1(tm+1	CCONJ
ejpam-6685	246	11	−	−	PROPN
ejpam-6685	246	12	ξ)ρ−1qj(ξ)dξ	ξ)ρ−1qj(ξ)dξ	NOUN
ejpam-6685	246	13	,	,	PUNCT
ejpam-6685	246	14	i	i	PRON
ejpam-6685	246	15	m+1	m+1	NUM
ejpam-6685	246	16	h	h	NOUN
ejpam-6685	247	1	=	=	PUNCT
ejpam-6685	247	2	i	i	NOUN
ejpam-6685	247	3	0	0	NUM
ejpam-6685	247	4	h	h	NOUN
ejpam-6685	248	1	+	+	X
ejpam-6685	248	2	κ	κ	X
ejpam-6685	248	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	248	4	)	)	PUNCT
ejpam-6685	248	5	m∑	m∑	VERB
ejpam-6685	248	6	j=0	j=0	PROPN
ejpam-6685	248	7	∫	∫	PROPN
ejpam-6685	248	8	tj+1	tj+1	PROPN
ejpam-6685	248	9	tj	tj	PROPN
ejpam-6685	248	10	ξκ−1(tm+1	ξκ−1(tm+1	CCONJ
ejpam-6685	248	11	−	−	PROPN
ejpam-6685	248	12	ξ)ρ−1rj(ξ)dξ	ξ)ρ−1rj(ξ)dξ	NOUN
ejpam-6685	248	13	,	,	PUNCT
ejpam-6685	248	14	rm+1	rm+1	PROPN
ejpam-6685	248	15	h	h	NOUN
ejpam-6685	248	16	=	=	SYM
ejpam-6685	248	17	r0	r0	NOUN
ejpam-6685	248	18	h	h	NOUN
ejpam-6685	248	19	+	+	CCONJ
ejpam-6685	248	20	κ	κ	X
ejpam-6685	248	21	γ(ρ	γ(ρ	PROPN
ejpam-6685	248	22	)	)	PUNCT
ejpam-6685	248	23	m∑	m∑	VERB
ejpam-6685	248	24	j=0	j=0	PROPN
ejpam-6685	248	25	∫	∫	PROPN
ejpam-6685	249	1	tj+1	tj+1	PROPN
ejpam-6685	249	2	tj	tj	PROPN
ejpam-6685	249	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	249	4	−	−	PROPN
ejpam-6685	249	5	ξ)ρ−1sj(ξ)dξ	ξ)ρ−1sj(ξ)dξ	NOUN
ejpam-6685	249	6	,	,	PUNCT
ejpam-6685	249	7	s	s	VERB
ejpam-6685	249	8	m+1	m+1	NUM
ejpam-6685	249	9	v	v	NOUN
ejpam-6685	249	10	=	=	SYM
ejpam-6685	249	11	s	s	PART
ejpam-6685	249	12	0	0	NUM
ejpam-6685	249	13	v	v	NOUN
ejpam-6685	249	14	+	+	PROPN
ejpam-6685	249	15	κ	κ	NOUN
ejpam-6685	249	16	γ(ρ	γ(ρ	PROPN
ejpam-6685	249	17	)	)	PUNCT
ejpam-6685	249	18	m∑	m∑	VERB
ejpam-6685	249	19	j=0	j=0	PROPN
ejpam-6685	249	20	∫	∫	PROPN
ejpam-6685	250	1	tj+1	tj+1	PROPN
ejpam-6685	250	2	tj	tj	PROPN
ejpam-6685	250	3	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	250	4	−	−	PROPN
ejpam-6685	250	5	ξ)ρ−1tj(ξ)dξ	ξ)ρ−1tj(ξ)dξ	NOUN
ejpam-6685	250	6	,	,	PUNCT
ejpam-6685	250	7	i	i	PRON
ejpam-6685	250	8	m+1	m+1	PROPN
ejpam-6685	250	9	v	v	X
ejpam-6685	250	10	=	=	X
ejpam-6685	251	1	i	i	NOUN
ejpam-6685	251	2	0	0	NUM
ejpam-6685	252	1	v	v	NOUN
ejpam-6685	252	2	+	+	X
ejpam-6685	252	3	κ	κ	X
ejpam-6685	252	4	γ(ρ	γ(ρ	PROPN
ejpam-6685	252	5	)	)	PUNCT
ejpam-6685	253	1	m∑	m∑	VERB
ejpam-6685	253	2	j=0	j=0	PROPN
ejpam-6685	253	3	∫	∫	PROPN
ejpam-6685	253	4	tj+1	tj+1	PROPN
ejpam-6685	253	5	tj	tj	PROPN
ejpam-6685	253	6	ξκ−1(tm+1	ξκ−1(tm+1	NOUN
ejpam-6685	253	7	−	−	PROPN
ejpam-6685	253	8	ξ)ρ−1uj(ξ)dξ	ξ)ρ−1uj(ξ)dξ	NOUN
ejpam-6685	253	9	.	.	PUNCT
ejpam-6685	254	1	(	(	PUNCT
ejpam-6685	254	2	17	17	NUM
ejpam-6685	254	3	)	)	PUNCT
ejpam-6685	254	4	finally	finally	ADV
ejpam-6685	254	5	,	,	PUNCT
ejpam-6685	254	6	the	the	DET
ejpam-6685	254	7	solution	solution	NOUN
ejpam-6685	254	8	becomes	become	VERB
ejpam-6685	254	9	as	as	SCONJ
ejpam-6685	254	10	follows	follow	VERB
ejpam-6685	254	11	s	s	VERB
ejpam-6685	254	12	m+1	m+1	NUM
ejpam-6685	254	13	h	h	NOUN
ejpam-6685	254	14	=	=	SYM
ejpam-6685	254	15	s	s	PART
ejpam-6685	254	16	0	0	NUM
ejpam-6685	254	17	h	h	NOUN
ejpam-6685	255	1	+	+	CCONJ
ejpam-6685	255	2	κhρ	κhρ	NOUN
ejpam-6685	255	3	γ(ρ+	γ(ρ+	NUM
ejpam-6685	255	4	2	2	NUM
ejpam-6685	255	5	)	)	PUNCT
ejpam-6685	255	6	m∑	m∑	CCONJ
ejpam-6685	255	7	j=0	j=0	PROPN
ejpam-6685	255	8	[	[	PUNCT
ejpam-6685	255	9	tκ−1	tκ−1	PROPN
ejpam-6685	255	10	j	j	PROPN
ejpam-6685	255	11	g1	g1	PROPN
ejpam-6685	255	12	(	(	PUNCT
ejpam-6685	255	13	s	s	VERB
ejpam-6685	255	14	j	j	PROPN
ejpam-6685	255	15	h	h	PROPN
ejpam-6685	255	16	,	,	PUNCT
ejpam-6685	255	17	v	v	PROPN
ejpam-6685	255	18	j	j	PROPN
ejpam-6685	255	19	h	h	NOUN
ejpam-6685	255	20	,	,	PUNCT
ejpam-6685	256	1	i	i	PRON
ejpam-6685	256	2	j	j	PROPN
ejpam-6685	256	3	h	h	NOUN
ejpam-6685	256	4	,	,	PUNCT
ejpam-6685	256	5	r	r	NOUN
ejpam-6685	256	6	j	j	PROPN
ejpam-6685	256	7	h	h	NOUN
ejpam-6685	256	8	,	,	PUNCT
ejpam-6685	256	9	s	s	PROPN
ejpam-6685	256	10	j	j	PROPN
ejpam-6685	256	11	v	v	NUM
ejpam-6685	256	12	,	,	PUNCT
ejpam-6685	256	13	i	i	PRON
ejpam-6685	256	14	j	j	PROPN
ejpam-6685	257	1	v	v	INTJ
ejpam-6685	257	2	,	,	PUNCT
ejpam-6685	257	3	tj	tj	PROPN
ejpam-6685	257	4	)	)	PUNCT
ejpam-6685	257	5	×	×	NOUN
ejpam-6685	257	6	[	[	PUNCT
ejpam-6685	257	7	(	(	PUNCT
ejpam-6685	257	8	m+	m+	NUM
ejpam-6685	257	9	1−	1−	NUM
ejpam-6685	257	10	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	258	1	j	j	PROPN
ejpam-6685	259	1	+	+	CCONJ
ejpam-6685	259	2	2	2	NUM
ejpam-6685	260	1	+	+	CCONJ
ejpam-6685	260	2	ρ)−	ρ)−	PROPN
ejpam-6685	260	3	(	(	PUNCT
ejpam-6685	260	4	m−	m−	PROPN
ejpam-6685	260	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	260	6	j	j	PROPN
ejpam-6685	261	1	+	+	CCONJ
ejpam-6685	261	2	2	2	NUM
ejpam-6685	261	3	+	+	NUM
ejpam-6685	261	4	2ρ	2ρ	NUM
ejpam-6685	261	5	)	)	PUNCT
ejpam-6685	261	6	]	]	PUNCT
ejpam-6685	261	7	−tκ−1	−tκ−1	X
ejpam-6685	261	8	j−1g1	j−1g1	PROPN
ejpam-6685	261	9	(	(	PUNCT
ejpam-6685	261	10	s	s	VERB
ejpam-6685	261	11	j−1	j−1	PROPN
ejpam-6685	261	12	h	h	NOUN
ejpam-6685	261	13	,	,	PUNCT
ejpam-6685	261	14	v	v	ADP
ejpam-6685	261	15	j−1	j−1	PROPN
ejpam-6685	261	16	h	h	NOUN
ejpam-6685	261	17	,	,	PUNCT
ejpam-6685	261	18	i	i	PROPN
ejpam-6685	261	19	j−1	j−1	PROPN
ejpam-6685	261	20	h	h	NOUN
ejpam-6685	261	21	,	,	PUNCT
ejpam-6685	261	22	rj−1	rj−1	NOUN
ejpam-6685	261	23	h	h	NOUN
ejpam-6685	261	24	,	,	PUNCT
ejpam-6685	261	25	s	s	PART
ejpam-6685	261	26	j−1	j−1	PROPN
ejpam-6685	261	27	v	v	NOUN
ejpam-6685	261	28	,	,	PUNCT
ejpam-6685	261	29	i	i	PROPN
ejpam-6685	261	30	j−1	j−1	PROPN
ejpam-6685	261	31	v	v	NOUN
ejpam-6685	261	32	,	,	PUNCT
ejpam-6685	261	33	tj−1	tj−1	PROPN
ejpam-6685	261	34	)	)	PUNCT
ejpam-6685	261	35	×	×	NOUN
ejpam-6685	261	36	(	(	PUNCT
ejpam-6685	261	37	(	(	PUNCT
ejpam-6685	261	38	m−	m−	PROPN
ejpam-6685	261	39	j	j	PROPN
ejpam-6685	261	40	+	+	CCONJ
ejpam-6685	261	41	1)ρ+1	1)ρ+1	NUM
ejpam-6685	261	42	−	−	PROPN
ejpam-6685	261	43	(	(	PUNCT
ejpam-6685	261	44	m−	m−	PROPN
ejpam-6685	261	45	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	261	46	j	j	PROPN
ejpam-6685	262	1	+	+	CCONJ
ejpam-6685	262	2	1	1	NUM
ejpam-6685	262	3	+	+	NUM
ejpam-6685	262	4	ρ	ρ	NUM
ejpam-6685	262	5	)	)	PUNCT
ejpam-6685	262	6	)	)	PUNCT
ejpam-6685	262	7	]	]	PUNCT
ejpam-6685	262	8	,	,	PUNCT
ejpam-6685	262	9	v	v	ADP
ejpam-6685	262	10	m+1	m+1	NUM
ejpam-6685	262	11	h	h	NOUN
ejpam-6685	262	12	=	=	SYM
ejpam-6685	262	13	v	v	ADP
ejpam-6685	262	14	0	0	NUM
ejpam-6685	263	1	h	h	NOUN
ejpam-6685	264	1	+	+	CCONJ
ejpam-6685	264	2	κhρ	κhρ	NOUN
ejpam-6685	264	3	γ(ρ+	γ(ρ+	NUM
ejpam-6685	264	4	2	2	NUM
ejpam-6685	264	5	)	)	PUNCT
ejpam-6685	264	6	m∑	m∑	CCONJ
ejpam-6685	264	7	j=0	j=0	PROPN
ejpam-6685	264	8	[	[	PUNCT
ejpam-6685	264	9	tκ−1	tκ−1	PROPN
ejpam-6685	264	10	j	j	PROPN
ejpam-6685	264	11	g2	g2	PROPN
ejpam-6685	264	12	(	(	PUNCT
ejpam-6685	264	13	s	s	VERB
ejpam-6685	264	14	j	j	PROPN
ejpam-6685	264	15	h	h	PROPN
ejpam-6685	264	16	,	,	PUNCT
ejpam-6685	264	17	v	v	PROPN
ejpam-6685	264	18	j	j	PROPN
ejpam-6685	264	19	h	h	NOUN
ejpam-6685	264	20	,	,	PUNCT
ejpam-6685	265	1	i	i	PRON
ejpam-6685	265	2	j	j	PROPN
ejpam-6685	265	3	h	h	NOUN
ejpam-6685	265	4	,	,	PUNCT
ejpam-6685	265	5	r	r	NOUN
ejpam-6685	265	6	j	j	PROPN
ejpam-6685	265	7	h	h	NOUN
ejpam-6685	265	8	,	,	PUNCT
ejpam-6685	265	9	s	s	PROPN
ejpam-6685	265	10	j	j	PROPN
ejpam-6685	265	11	v	v	NUM
ejpam-6685	265	12	,	,	PUNCT
ejpam-6685	265	13	i	i	PRON
ejpam-6685	265	14	j	j	PROPN
ejpam-6685	266	1	v	v	INTJ
ejpam-6685	266	2	,	,	PUNCT
ejpam-6685	266	3	tj	tj	PROPN
ejpam-6685	266	4	)	)	PUNCT
ejpam-6685	266	5	×	×	NOUN
ejpam-6685	266	6	[	[	PUNCT
ejpam-6685	266	7	(	(	PUNCT
ejpam-6685	266	8	m+	m+	NUM
ejpam-6685	266	9	1−	1−	NUM
ejpam-6685	266	10	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	267	1	j	j	PROPN
ejpam-6685	268	1	+	+	CCONJ
ejpam-6685	268	2	2	2	NUM
ejpam-6685	269	1	+	+	CCONJ
ejpam-6685	269	2	ρ)−	ρ)−	PROPN
ejpam-6685	269	3	(	(	PUNCT
ejpam-6685	269	4	m−	m−	PROPN
ejpam-6685	269	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	269	6	j	j	PROPN
ejpam-6685	270	1	+	+	CCONJ
ejpam-6685	270	2	2	2	NUM
ejpam-6685	270	3	+	+	NUM
ejpam-6685	270	4	2ρ	2ρ	NUM
ejpam-6685	270	5	)	)	PUNCT
ejpam-6685	270	6	]	]	PUNCT
ejpam-6685	271	1	−tκ−1	−tκ−1	X
ejpam-6685	271	2	j−1g2	j−1g2	PROPN
ejpam-6685	271	3	(	(	PUNCT
ejpam-6685	271	4	s	s	VERB
ejpam-6685	271	5	j−1	j−1	PROPN
ejpam-6685	271	6	h	h	NOUN
ejpam-6685	271	7	,	,	PUNCT
ejpam-6685	271	8	v	v	ADP
ejpam-6685	271	9	j−1	j−1	PROPN
ejpam-6685	271	10	h	h	NOUN
ejpam-6685	271	11	,	,	PUNCT
ejpam-6685	271	12	i	i	PROPN
ejpam-6685	271	13	j−1	j−1	PROPN
ejpam-6685	271	14	h	h	NOUN
ejpam-6685	271	15	,	,	PUNCT
ejpam-6685	271	16	rj−1	rj−1	NOUN
ejpam-6685	271	17	h	h	NOUN
ejpam-6685	271	18	,	,	PUNCT
ejpam-6685	271	19	s	s	PART
ejpam-6685	271	20	j−1	j−1	PROPN
ejpam-6685	271	21	v	v	NOUN
ejpam-6685	271	22	,	,	PUNCT
ejpam-6685	271	23	i	i	PROPN
ejpam-6685	271	24	j−1	j−1	PROPN
ejpam-6685	271	25	v	v	NOUN
ejpam-6685	271	26	,	,	PUNCT
ejpam-6685	271	27	tj−1	tj−1	PROPN
ejpam-6685	271	28	)	)	PUNCT
ejpam-6685	271	29	×	×	NOUN
ejpam-6685	271	30	(	(	PUNCT
ejpam-6685	271	31	(	(	PUNCT
ejpam-6685	271	32	m−	m−	PROPN
ejpam-6685	271	33	j	j	PROPN
ejpam-6685	271	34	+	+	CCONJ
ejpam-6685	271	35	1)ρ+1	1)ρ+1	NUM
ejpam-6685	271	36	−	−	PROPN
ejpam-6685	271	37	(	(	PUNCT
ejpam-6685	271	38	m−	m−	PROPN
ejpam-6685	271	39	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	271	40	j	j	PROPN
ejpam-6685	272	1	+	+	CCONJ
ejpam-6685	272	2	1	1	NUM
ejpam-6685	272	3	+	+	NUM
ejpam-6685	272	4	ρ	ρ	NUM
ejpam-6685	272	5	)	)	PUNCT
ejpam-6685	272	6	)	)	PUNCT
ejpam-6685	272	7	]	]	PUNCT
ejpam-6685	273	1	,	,	PUNCT
ejpam-6685	273	2	i	i	PRON
ejpam-6685	273	3	m+1	m+1	NUM
ejpam-6685	273	4	h	h	NOUN
ejpam-6685	274	1	=	=	PUNCT
ejpam-6685	274	2	i	i	NOUN
ejpam-6685	274	3	0	0	NUM
ejpam-6685	274	4	h	h	NOUN
ejpam-6685	275	1	+	+	CCONJ
ejpam-6685	275	2	κhρ	κhρ	NOUN
ejpam-6685	275	3	γ(ρ+	γ(ρ+	NUM
ejpam-6685	275	4	2	2	NUM
ejpam-6685	275	5	)	)	PUNCT
ejpam-6685	275	6	m∑	m∑	CCONJ
ejpam-6685	275	7	j=0	j=0	PROPN
ejpam-6685	275	8	[	[	PUNCT
ejpam-6685	275	9	tκ−1	tκ−1	PROPN
ejpam-6685	275	10	j	j	PROPN
ejpam-6685	275	11	g3	g3	PROPN
ejpam-6685	275	12	(	(	PUNCT
ejpam-6685	275	13	s	s	VERB
ejpam-6685	275	14	j	j	PROPN
ejpam-6685	275	15	h	h	PROPN
ejpam-6685	275	16	,	,	PUNCT
ejpam-6685	275	17	v	v	PROPN
ejpam-6685	275	18	j	j	PROPN
ejpam-6685	275	19	h	h	NOUN
ejpam-6685	275	20	,	,	PUNCT
ejpam-6685	276	1	i	i	PRON
ejpam-6685	276	2	j	j	PROPN
ejpam-6685	276	3	h	h	NOUN
ejpam-6685	276	4	,	,	PUNCT
ejpam-6685	276	5	r	r	NOUN
ejpam-6685	276	6	j	j	PROPN
ejpam-6685	276	7	h	h	NOUN
ejpam-6685	276	8	,	,	PUNCT
ejpam-6685	276	9	s	s	PROPN
ejpam-6685	276	10	j	j	PROPN
ejpam-6685	276	11	v	v	NUM
ejpam-6685	276	12	,	,	PUNCT
ejpam-6685	276	13	i	i	PRON
ejpam-6685	276	14	j	j	PROPN
ejpam-6685	277	1	v	v	INTJ
ejpam-6685	277	2	,	,	PUNCT
ejpam-6685	277	3	tj	tj	PROPN
ejpam-6685	277	4	)	)	PUNCT
ejpam-6685	277	5	×	×	PROPN
ejpam-6685	277	6	m.	m.	NOUN
ejpam-6685	277	7	alsulami	alsulami	PROPN
ejpam-6685	277	8	,	,	PUNCT
ejpam-6685	277	9	r.	r.	PROPN
ejpam-6685	277	10	jan	jan	PROPN
ejpam-6685	277	11	,	,	PUNCT
ejpam-6685	277	12	e.	e.	PROPN
ejpam-6685	277	13	antonescu	antonescu	PROPN
ejpam-6685	277	14	/	/	SYM
ejpam-6685	277	15	eur	eur	PROPN
ejpam-6685	277	16	.	.	PUNCT
ejpam-6685	278	1	j.	j.	PROPN
ejpam-6685	278	2	pure	pure	PROPN
ejpam-6685	278	3	appl	appl	PROPN
ejpam-6685	278	4	.	.	PROPN
ejpam-6685	278	5	math	math	PROPN
ejpam-6685	278	6	,	,	PUNCT
ejpam-6685	278	7	18	18	NUM
ejpam-6685	278	8	(	(	PUNCT
ejpam-6685	278	9	3	3	NUM
ejpam-6685	278	10	)	)	PUNCT
ejpam-6685	278	11	(	(	PUNCT
ejpam-6685	278	12	2025	2025	NUM
ejpam-6685	278	13	)	)	PUNCT
ejpam-6685	278	14	,	,	PUNCT
ejpam-6685	278	15	6685	6685	NUM
ejpam-6685	278	16	11	11	NUM
ejpam-6685	278	17	of	of	ADP
ejpam-6685	278	18	19	19	NUM
ejpam-6685	278	19	[	[	PUNCT
ejpam-6685	278	20	(	(	PUNCT
ejpam-6685	278	21	m+	m+	NUM
ejpam-6685	278	22	1−	1−	NUM
ejpam-6685	279	1	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	280	1	j	j	PROPN
ejpam-6685	281	1	+	+	CCONJ
ejpam-6685	281	2	2	2	NUM
ejpam-6685	282	1	+	+	CCONJ
ejpam-6685	282	2	ρ)−	ρ)−	PROPN
ejpam-6685	282	3	(	(	PUNCT
ejpam-6685	282	4	m−	m−	PROPN
ejpam-6685	282	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	282	6	j	j	PROPN
ejpam-6685	283	1	+	+	CCONJ
ejpam-6685	283	2	2	2	NUM
ejpam-6685	283	3	+	+	NUM
ejpam-6685	283	4	2ρ	2ρ	NUM
ejpam-6685	283	5	)	)	PUNCT
ejpam-6685	283	6	]	]	PUNCT
ejpam-6685	284	1	−tκ−1	−tκ−1	X
ejpam-6685	284	2	j−1g3	j−1g3	PROPN
ejpam-6685	284	3	(	(	PUNCT
ejpam-6685	284	4	s	s	VERB
ejpam-6685	284	5	j−1	j−1	PROPN
ejpam-6685	284	6	h	h	NOUN
ejpam-6685	284	7	,	,	PUNCT
ejpam-6685	284	8	v	v	ADP
ejpam-6685	284	9	j−1	j−1	PROPN
ejpam-6685	284	10	h	h	NOUN
ejpam-6685	284	11	,	,	PUNCT
ejpam-6685	284	12	i	i	PROPN
ejpam-6685	284	13	j−1	j−1	PROPN
ejpam-6685	284	14	h	h	NOUN
ejpam-6685	284	15	,	,	PUNCT
ejpam-6685	284	16	rj−1	rj−1	NOUN
ejpam-6685	284	17	h	h	NOUN
ejpam-6685	284	18	,	,	PUNCT
ejpam-6685	284	19	s	s	PART
ejpam-6685	284	20	j−1	j−1	PROPN
ejpam-6685	284	21	v	v	NOUN
ejpam-6685	284	22	,	,	PUNCT
ejpam-6685	284	23	i	i	PROPN
ejpam-6685	284	24	j−1	j−1	PROPN
ejpam-6685	284	25	v	v	NOUN
ejpam-6685	284	26	,	,	PUNCT
ejpam-6685	284	27	tj−1	tj−1	PROPN
ejpam-6685	284	28	)	)	PUNCT
ejpam-6685	284	29	×	×	NOUN
ejpam-6685	284	30	(	(	PUNCT
ejpam-6685	284	31	(	(	PUNCT
ejpam-6685	284	32	m−	m−	PROPN
ejpam-6685	284	33	j	j	PROPN
ejpam-6685	284	34	+	+	CCONJ
ejpam-6685	284	35	1)ρ+1	1)ρ+1	NUM
ejpam-6685	284	36	−	−	PROPN
ejpam-6685	284	37	(	(	PUNCT
ejpam-6685	284	38	m−	m−	PROPN
ejpam-6685	284	39	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	284	40	j	j	PROPN
ejpam-6685	285	1	+	+	CCONJ
ejpam-6685	285	2	1	1	NUM
ejpam-6685	285	3	+	+	NUM
ejpam-6685	285	4	ρ	ρ	NUM
ejpam-6685	285	5	)	)	PUNCT
ejpam-6685	285	6	)	)	PUNCT
ejpam-6685	285	7	]	]	PUNCT
ejpam-6685	285	8	,	,	PUNCT
ejpam-6685	286	1	rm+1	rm+1	PROPN
ejpam-6685	286	2	h	h	NOUN
ejpam-6685	286	3	=	=	SYM
ejpam-6685	286	4	r0	r0	NOUN
ejpam-6685	286	5	h	h	NOUN
ejpam-6685	286	6	+	+	CCONJ
ejpam-6685	286	7	κhρ	κhρ	NOUN
ejpam-6685	286	8	γ(ρ+	γ(ρ+	NUM
ejpam-6685	286	9	2	2	NUM
ejpam-6685	286	10	)	)	PUNCT
ejpam-6685	286	11	m∑	m∑	CCONJ
ejpam-6685	286	12	j=0	j=0	PROPN
ejpam-6685	286	13	[	[	PUNCT
ejpam-6685	286	14	tκ−1	tκ−1	NOUN
ejpam-6685	286	15	j	j	PROPN
ejpam-6685	286	16	g4	g4	NOUN
ejpam-6685	286	17	(	(	PUNCT
ejpam-6685	286	18	s	s	VERB
ejpam-6685	286	19	j	j	PROPN
ejpam-6685	286	20	h	h	PROPN
ejpam-6685	286	21	,	,	PUNCT
ejpam-6685	286	22	v	v	PROPN
ejpam-6685	286	23	j	j	PROPN
ejpam-6685	286	24	h	h	NOUN
ejpam-6685	286	25	,	,	PUNCT
ejpam-6685	286	26	i	i	PRON
ejpam-6685	286	27	j	j	PROPN
ejpam-6685	286	28	h	h	NOUN
ejpam-6685	286	29	,	,	PUNCT
ejpam-6685	286	30	r	r	NOUN
ejpam-6685	286	31	j	j	PROPN
ejpam-6685	286	32	h	h	NOUN
ejpam-6685	286	33	,	,	PUNCT
ejpam-6685	286	34	s	s	PROPN
ejpam-6685	286	35	j	j	PROPN
ejpam-6685	286	36	v	v	NUM
ejpam-6685	286	37	,	,	PUNCT
ejpam-6685	286	38	i	i	PRON
ejpam-6685	286	39	j	j	PROPN
ejpam-6685	286	40	v	v	INTJ
ejpam-6685	286	41	,	,	PUNCT
ejpam-6685	286	42	tj	tj	PROPN
ejpam-6685	286	43	)	)	PUNCT
ejpam-6685	286	44	×	×	NOUN
ejpam-6685	286	45	[	[	PUNCT
ejpam-6685	286	46	(	(	PUNCT
ejpam-6685	286	47	m+	m+	NUM
ejpam-6685	286	48	1−	1−	NUM
ejpam-6685	286	49	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	287	1	j	j	PROPN
ejpam-6685	288	1	+	+	CCONJ
ejpam-6685	288	2	2	2	NUM
ejpam-6685	289	1	+	+	CCONJ
ejpam-6685	289	2	ρ)−	ρ)−	PROPN
ejpam-6685	289	3	(	(	PUNCT
ejpam-6685	289	4	m−	m−	PROPN
ejpam-6685	289	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	289	6	j	j	PROPN
ejpam-6685	290	1	+	+	CCONJ
ejpam-6685	290	2	2	2	NUM
ejpam-6685	290	3	+	+	NUM
ejpam-6685	290	4	2ρ	2ρ	NUM
ejpam-6685	290	5	)	)	PUNCT
ejpam-6685	290	6	]	]	PUNCT
ejpam-6685	291	1	−tκ−1	−tκ−1	X
ejpam-6685	291	2	j−1g4	j−1g4	X
ejpam-6685	291	3	(	(	PUNCT
ejpam-6685	291	4	s	s	VERB
ejpam-6685	291	5	j−1	j−1	PROPN
ejpam-6685	291	6	h	h	NOUN
ejpam-6685	291	7	,	,	PUNCT
ejpam-6685	291	8	v	v	ADP
ejpam-6685	291	9	j−1	j−1	PROPN
ejpam-6685	291	10	h	h	NOUN
ejpam-6685	291	11	,	,	PUNCT
ejpam-6685	291	12	i	i	PROPN
ejpam-6685	291	13	j−1	j−1	PROPN
ejpam-6685	291	14	h	h	NOUN
ejpam-6685	291	15	,	,	PUNCT
ejpam-6685	291	16	rj−1	rj−1	NOUN
ejpam-6685	291	17	h	h	NOUN
ejpam-6685	291	18	,	,	PUNCT
ejpam-6685	291	19	s	s	PART
ejpam-6685	291	20	j−1	j−1	PROPN
ejpam-6685	291	21	v	v	NOUN
ejpam-6685	291	22	,	,	PUNCT
ejpam-6685	291	23	i	i	PROPN
ejpam-6685	291	24	j−1	j−1	PROPN
ejpam-6685	291	25	v	v	NOUN
ejpam-6685	291	26	,	,	PUNCT
ejpam-6685	291	27	tj−1	tj−1	PROPN
ejpam-6685	291	28	)	)	PUNCT
ejpam-6685	291	29	×	×	NOUN
ejpam-6685	291	30	(	(	PUNCT
ejpam-6685	291	31	(	(	PUNCT
ejpam-6685	291	32	m−	m−	PROPN
ejpam-6685	291	33	j	j	PROPN
ejpam-6685	291	34	+	+	CCONJ
ejpam-6685	291	35	1)ρ+1	1)ρ+1	NUM
ejpam-6685	291	36	−	−	PROPN
ejpam-6685	291	37	(	(	PUNCT
ejpam-6685	291	38	m−	m−	PROPN
ejpam-6685	291	39	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	291	40	j	j	PROPN
ejpam-6685	292	1	+	+	CCONJ
ejpam-6685	292	2	1	1	NUM
ejpam-6685	292	3	+	+	NUM
ejpam-6685	292	4	ρ	ρ	NUM
ejpam-6685	292	5	)	)	PUNCT
ejpam-6685	292	6	)	)	PUNCT
ejpam-6685	292	7	]	]	PUNCT
ejpam-6685	292	8	,	,	PUNCT
ejpam-6685	292	9	s	s	VERB
ejpam-6685	292	10	m+1	m+1	NUM
ejpam-6685	292	11	v	v	NOUN
ejpam-6685	292	12	=	=	SYM
ejpam-6685	292	13	s	s	PART
ejpam-6685	292	14	0	0	NUM
ejpam-6685	292	15	v	v	NOUN
ejpam-6685	292	16	+	+	CCONJ
ejpam-6685	292	17	κhρ	κhρ	NOUN
ejpam-6685	292	18	γ(ρ+	γ(ρ+	NUM
ejpam-6685	292	19	2	2	NUM
ejpam-6685	292	20	)	)	PUNCT
ejpam-6685	292	21	m∑	m∑	CCONJ
ejpam-6685	292	22	j=0	j=0	PROPN
ejpam-6685	292	23	[	[	PUNCT
ejpam-6685	293	1	tκ−1	tκ−1	PROPN
ejpam-6685	293	2	j	j	PROPN
ejpam-6685	293	3	g5	g5	PROPN
ejpam-6685	293	4	(	(	PUNCT
ejpam-6685	293	5	s	s	VERB
ejpam-6685	293	6	j	j	PROPN
ejpam-6685	293	7	h	h	PROPN
ejpam-6685	293	8	,	,	PUNCT
ejpam-6685	293	9	v	v	PROPN
ejpam-6685	293	10	j	j	PROPN
ejpam-6685	293	11	h	h	NOUN
ejpam-6685	293	12	,	,	PUNCT
ejpam-6685	293	13	i	i	PRON
ejpam-6685	293	14	j	j	PROPN
ejpam-6685	293	15	h	h	NOUN
ejpam-6685	293	16	,	,	PUNCT
ejpam-6685	293	17	r	r	NOUN
ejpam-6685	293	18	j	j	PROPN
ejpam-6685	293	19	h	h	NOUN
ejpam-6685	293	20	,	,	PUNCT
ejpam-6685	293	21	s	s	PROPN
ejpam-6685	293	22	j	j	PROPN
ejpam-6685	293	23	v	v	NUM
ejpam-6685	293	24	,	,	PUNCT
ejpam-6685	293	25	i	i	PRON
ejpam-6685	293	26	j	j	PROPN
ejpam-6685	293	27	v	v	INTJ
ejpam-6685	293	28	,	,	PUNCT
ejpam-6685	293	29	tj	tj	PROPN
ejpam-6685	293	30	)	)	PUNCT
ejpam-6685	293	31	×	×	NOUN
ejpam-6685	293	32	[	[	PUNCT
ejpam-6685	293	33	(	(	PUNCT
ejpam-6685	293	34	m+	m+	NUM
ejpam-6685	293	35	1−	1−	NUM
ejpam-6685	293	36	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	294	1	j	j	PROPN
ejpam-6685	295	1	+	+	CCONJ
ejpam-6685	295	2	2	2	NUM
ejpam-6685	296	1	+	+	CCONJ
ejpam-6685	296	2	ρ)−	ρ)−	PROPN
ejpam-6685	296	3	(	(	PUNCT
ejpam-6685	296	4	m−	m−	PROPN
ejpam-6685	296	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	296	6	j	j	PROPN
ejpam-6685	297	1	+	+	CCONJ
ejpam-6685	297	2	2	2	NUM
ejpam-6685	297	3	+	+	NUM
ejpam-6685	297	4	2ρ	2ρ	NUM
ejpam-6685	297	5	)	)	PUNCT
ejpam-6685	297	6	]	]	PUNCT
ejpam-6685	297	7	−tκ−1	−tκ−1	X
ejpam-6685	297	8	j−1g5	j−1g5	X
ejpam-6685	297	9	(	(	PUNCT
ejpam-6685	297	10	s	s	VERB
ejpam-6685	297	11	j−1	j−1	PROPN
ejpam-6685	297	12	h	h	NOUN
ejpam-6685	297	13	,	,	PUNCT
ejpam-6685	297	14	v	v	ADP
ejpam-6685	297	15	j−1	j−1	PROPN
ejpam-6685	297	16	h	h	NOUN
ejpam-6685	297	17	,	,	PUNCT
ejpam-6685	297	18	i	i	PROPN
ejpam-6685	297	19	j−1	j−1	PROPN
ejpam-6685	297	20	h	h	NOUN
ejpam-6685	297	21	,	,	PUNCT
ejpam-6685	297	22	rj−1	rj−1	NOUN
ejpam-6685	297	23	h	h	NOUN
ejpam-6685	297	24	,	,	PUNCT
ejpam-6685	297	25	s	s	PART
ejpam-6685	297	26	j−1	j−1	PROPN
ejpam-6685	297	27	v	v	NOUN
ejpam-6685	297	28	,	,	PUNCT
ejpam-6685	297	29	i	i	PROPN
ejpam-6685	297	30	j−1	j−1	PROPN
ejpam-6685	297	31	v	v	NOUN
ejpam-6685	297	32	,	,	PUNCT
ejpam-6685	297	33	tj−1	tj−1	PROPN
ejpam-6685	297	34	)	)	PUNCT
ejpam-6685	297	35	×	×	NOUN
ejpam-6685	297	36	(	(	PUNCT
ejpam-6685	297	37	(	(	PUNCT
ejpam-6685	297	38	m−	m−	PROPN
ejpam-6685	297	39	j	j	PROPN
ejpam-6685	297	40	+	+	CCONJ
ejpam-6685	297	41	1)ρ+1	1)ρ+1	NUM
ejpam-6685	297	42	−	−	PROPN
ejpam-6685	297	43	(	(	PUNCT
ejpam-6685	297	44	m−	m−	PROPN
ejpam-6685	297	45	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	298	1	j	j	PROPN
ejpam-6685	299	1	+	+	CCONJ
ejpam-6685	299	2	1	1	NUM
ejpam-6685	299	3	+	+	NUM
ejpam-6685	299	4	ρ	ρ	NUM
ejpam-6685	299	5	)	)	PUNCT
ejpam-6685	299	6	)	)	PUNCT
ejpam-6685	299	7	]	]	PUNCT
ejpam-6685	299	8	,	,	PUNCT
ejpam-6685	299	9	i	i	PRON
ejpam-6685	299	10	m+1	m+1	NUM
ejpam-6685	299	11	v	v	X
ejpam-6685	299	12	=	=	X
ejpam-6685	299	13	i	i	NOUN
ejpam-6685	299	14	0	0	NUM
ejpam-6685	299	15	v	v	NOUN
ejpam-6685	299	16	+	+	CCONJ
ejpam-6685	299	17	κhρ	κhρ	NOUN
ejpam-6685	299	18	γ(ρ+	γ(ρ+	NUM
ejpam-6685	299	19	2	2	NUM
ejpam-6685	299	20	)	)	PUNCT
ejpam-6685	299	21	m∑	m∑	CCONJ
ejpam-6685	299	22	j=0	j=0	PROPN
ejpam-6685	299	23	[	[	PUNCT
ejpam-6685	300	1	tκ−1	tκ−1	PROPN
ejpam-6685	300	2	j	j	PROPN
ejpam-6685	300	3	g6	g6	PROPN
ejpam-6685	300	4	(	(	PUNCT
ejpam-6685	300	5	s	s	VERB
ejpam-6685	300	6	j	j	PROPN
ejpam-6685	300	7	h	h	PROPN
ejpam-6685	300	8	,	,	PUNCT
ejpam-6685	300	9	v	v	PROPN
ejpam-6685	300	10	j	j	PROPN
ejpam-6685	300	11	h	h	NOUN
ejpam-6685	300	12	,	,	PUNCT
ejpam-6685	300	13	i	i	PRON
ejpam-6685	300	14	j	j	PROPN
ejpam-6685	300	15	h	h	NOUN
ejpam-6685	300	16	,	,	PUNCT
ejpam-6685	300	17	r	r	NOUN
ejpam-6685	300	18	j	j	PROPN
ejpam-6685	300	19	h	h	NOUN
ejpam-6685	300	20	,	,	PUNCT
ejpam-6685	300	21	s	s	PROPN
ejpam-6685	300	22	j	j	PROPN
ejpam-6685	300	23	v	v	NUM
ejpam-6685	300	24	,	,	PUNCT
ejpam-6685	300	25	i	i	PRON
ejpam-6685	300	26	j	j	PROPN
ejpam-6685	300	27	v	v	INTJ
ejpam-6685	300	28	,	,	PUNCT
ejpam-6685	300	29	tj	tj	PROPN
ejpam-6685	300	30	)	)	PUNCT
ejpam-6685	300	31	×	×	NOUN
ejpam-6685	300	32	[	[	PUNCT
ejpam-6685	300	33	(	(	PUNCT
ejpam-6685	300	34	m+	m+	NUM
ejpam-6685	300	35	1−	1−	NUM
ejpam-6685	300	36	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	301	1	j	j	PROPN
ejpam-6685	302	1	+	+	CCONJ
ejpam-6685	302	2	2	2	NUM
ejpam-6685	303	1	+	+	CCONJ
ejpam-6685	303	2	ρ)−	ρ)−	PROPN
ejpam-6685	303	3	(	(	PUNCT
ejpam-6685	303	4	m−	m−	PROPN
ejpam-6685	303	5	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	303	6	j	j	PROPN
ejpam-6685	304	1	+	+	CCONJ
ejpam-6685	304	2	2	2	NUM
ejpam-6685	304	3	+	+	NUM
ejpam-6685	304	4	2ρ	2ρ	NUM
ejpam-6685	304	5	)	)	PUNCT
ejpam-6685	304	6	]	]	PUNCT
ejpam-6685	304	7	−tκ−1	−tκ−1	X
ejpam-6685	304	8	j−1g6	j−1g6	X
ejpam-6685	304	9	(	(	PUNCT
ejpam-6685	304	10	s	s	VERB
ejpam-6685	304	11	j−1	j−1	PROPN
ejpam-6685	304	12	h	h	NOUN
ejpam-6685	304	13	,	,	PUNCT
ejpam-6685	304	14	v	v	ADP
ejpam-6685	304	15	j−1	j−1	PROPN
ejpam-6685	304	16	h	h	NOUN
ejpam-6685	304	17	,	,	PUNCT
ejpam-6685	304	18	i	i	PROPN
ejpam-6685	304	19	j−1	j−1	PROPN
ejpam-6685	304	20	h	h	NOUN
ejpam-6685	304	21	,	,	PUNCT
ejpam-6685	304	22	rj−1	rj−1	NOUN
ejpam-6685	304	23	h	h	NOUN
ejpam-6685	304	24	,	,	PUNCT
ejpam-6685	304	25	s	s	PART
ejpam-6685	304	26	j−1	j−1	PROPN
ejpam-6685	304	27	v	v	NOUN
ejpam-6685	304	28	,	,	PUNCT
ejpam-6685	304	29	i	i	PROPN
ejpam-6685	304	30	j−1	j−1	PROPN
ejpam-6685	304	31	v	v	NOUN
ejpam-6685	304	32	,	,	PUNCT
ejpam-6685	304	33	tj−1	tj−1	PROPN
ejpam-6685	304	34	)	)	PUNCT
ejpam-6685	304	35	×	×	NOUN
ejpam-6685	304	36	(	(	PUNCT
ejpam-6685	304	37	(	(	PUNCT
ejpam-6685	304	38	m−	m−	PROPN
ejpam-6685	304	39	j	j	PROPN
ejpam-6685	304	40	+	+	CCONJ
ejpam-6685	304	41	1)ρ+1	1)ρ+1	NUM
ejpam-6685	304	42	−	−	PROPN
ejpam-6685	304	43	(	(	PUNCT
ejpam-6685	304	44	m−	m−	PROPN
ejpam-6685	304	45	j)ρ(m−	j)ρ(m−	PROPN
ejpam-6685	305	1	j	j	PROPN
ejpam-6685	306	1	+	+	CCONJ
ejpam-6685	306	2	1	1	NUM
ejpam-6685	306	3	+	+	NUM
ejpam-6685	306	4	ρ	ρ	NUM
ejpam-6685	306	5	)	)	PUNCT
ejpam-6685	306	6	)	)	PUNCT
ejpam-6685	306	7	]	]	PUNCT
ejpam-6685	306	8	.	.	PUNCT
ejpam-6685	307	1	(	(	PUNCT
ejpam-6685	307	2	18	18	NUM
ejpam-6685	307	3	)	)	PUNCT
ejpam-6685	307	4	theorem	theorem	NOUN
ejpam-6685	307	5	2	2	NUM
ejpam-6685	307	6	.	.	PUNCT
ejpam-6685	308	1	the	the	DET
ejpam-6685	308	2	fractal	fractal	ADJ
ejpam-6685	308	3	-	-	PUNCT
ejpam-6685	308	4	fractional	fractional	ADJ
ejpam-6685	308	5	model	model	NOUN
ejpam-6685	308	6	(	(	PUNCT
ejpam-6685	308	7	2	2	X
ejpam-6685	308	8	)	)	PUNCT
ejpam-6685	308	9	governing	govern	VERB
ejpam-6685	308	10	the	the	DET
ejpam-6685	308	11	dynamics	dynamic	NOUN
ejpam-6685	308	12	of	of	ADP
ejpam-6685	308	13	dengue	dengue	NOUN
ejpam-6685	308	14	infection	infection	NOUN
ejpam-6685	308	15	has	have	VERB
ejpam-6685	308	16	a	a	DET
ejpam-6685	308	17	unique	unique	ADJ
ejpam-6685	308	18	solution	solution	NOUN
ejpam-6685	308	19	.	.	PUNCT
ejpam-6685	309	1	proof	proof	NOUN
ejpam-6685	309	2	.	.	PUNCT
ejpam-6685	310	1	for	for	ADP
ejpam-6685	310	2	the	the	DET
ejpam-6685	310	3	required	required	ADJ
ejpam-6685	310	4	proof	proof	NOUN
ejpam-6685	310	5	,	,	PUNCT
ejpam-6685	310	6	utilize	utilize	VERB
ejpam-6685	310	7	the	the	DET
ejpam-6685	310	8	result	result	NOUN
ejpam-6685	310	9	of	of	ADP
ejpam-6685	310	10	[	[	X
ejpam-6685	310	11	35	35	NUM
ejpam-6685	310	12	,	,	PUNCT
ejpam-6685	310	13	36	36	NUM
ejpam-6685	310	14	]	]	PUNCT
ejpam-6685	310	15	,	,	PUNCT
ejpam-6685	310	16	and	and	CCONJ
ejpam-6685	310	17	take	take	VERB
ejpam-6685	310	18	the	the	DET
ejpam-6685	310	19	cauchy	cauchy	ADJ
ejpam-6685	310	20	problem	problem	NOUN
ejpam-6685	310	21	with	with	ADP
ejpam-6685	310	22	power	power	NOUN
ejpam-6685	310	23	law	law	NOUN
ejpam-6685	310	24	as	as	ADP
ejpam-6685	310	25	ℏ(t	ℏ(t	NOUN
ejpam-6685	310	26	)	)	PUNCT
ejpam-6685	311	1	=	=	SYM
ejpam-6685	311	2	ℏ(0	ℏ(0	PROPN
ejpam-6685	311	3	)	)	PUNCT
ejpam-6685	312	1	+	+	NUM
ejpam-6685	312	2	ρκ	ρκ	NOUN
ejpam-6685	312	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	312	4	)	)	PUNCT
ejpam-6685	313	1	∫	∫	PROPN
ejpam-6685	313	2	t	t	PROPN
ejpam-6685	313	3	0	0	NUM
ejpam-6685	313	4	ξκ−1g(ξ	ξκ−1g(ξ	PROPN
ejpam-6685	313	5	,	,	PUNCT
ejpam-6685	313	6	ℏ(ξ))dξ	ℏ(ξ))dξ	ADV
ejpam-6685	313	7	,	,	PUNCT
ejpam-6685	313	8	and	and	CCONJ
ejpam-6685	313	9	introduce	introduce	VERB
ejpam-6685	313	10	a	a	DET
ejpam-6685	313	11	map	map	NOUN
ejpam-6685	313	12	as	as	SCONJ
ejpam-6685	313	13	follows	follow	VERB
ejpam-6685	313	14	φθ(t	φθ(t	NOUN
ejpam-6685	313	15	)	)	PUNCT
ejpam-6685	313	16	=	=	SYM
ejpam-6685	313	17	ℏ(0	ℏ(0	PROPN
ejpam-6685	313	18	)	)	PUNCT
ejpam-6685	314	1	+	+	NUM
ejpam-6685	314	2	ρκ	ρκ	NOUN
ejpam-6685	314	3	γ(ρ	γ(ρ	PROPN
ejpam-6685	314	4	)	)	PUNCT
ejpam-6685	315	1	∫	∫	PROPN
ejpam-6685	315	2	t	t	PROPN
ejpam-6685	315	3	0	0	NUM
ejpam-6685	315	4	φθ−1g(φ	φθ−1g(φ	PROPN
ejpam-6685	315	5	,	,	PUNCT
ejpam-6685	315	6	ψ(ξ))dξ	ψ(ξ))dξ	PROPN
ejpam-6685	315	7	,	,	PUNCT
ejpam-6685	315	8	m.	m.	NOUN
ejpam-6685	315	9	alsulami	alsulami	NOUN
ejpam-6685	315	10	,	,	PUNCT
ejpam-6685	315	11	r.	r.	PROPN
ejpam-6685	315	12	jan	jan	PROPN
ejpam-6685	315	13	,	,	PUNCT
ejpam-6685	315	14	e.	e.	PROPN
ejpam-6685	315	15	antonescu	antonescu	PROPN
ejpam-6685	315	16	/	/	SYM
ejpam-6685	315	17	eur	eur	PROPN
ejpam-6685	315	18	.	.	PUNCT
ejpam-6685	316	1	j.	j.	PROPN
ejpam-6685	316	2	pure	pure	PROPN
ejpam-6685	316	3	appl	appl	PROPN
ejpam-6685	316	4	.	.	PROPN
ejpam-6685	316	5	math	math	PROPN
ejpam-6685	316	6	,	,	PUNCT
ejpam-6685	316	7	18	18	NUM
ejpam-6685	316	8	(	(	PUNCT
ejpam-6685	316	9	3	3	NUM
ejpam-6685	316	10	)	)	PUNCT
ejpam-6685	316	11	(	(	PUNCT
ejpam-6685	316	12	2025	2025	NUM
ejpam-6685	316	13	)	)	PUNCT
ejpam-6685	316	14	,	,	PUNCT
ejpam-6685	316	15	6685	6685	NUM
ejpam-6685	316	16	12	12	NUM
ejpam-6685	316	17	of	of	ADP
ejpam-6685	316	18	19	19	NUM
ejpam-6685	316	19	time	time	NOUN
ejpam-6685	316	20	in	in	ADP
ejpam-6685	316	21	months	month	NOUN
ejpam-6685	316	22	0	0	NUM
ejpam-6685	317	1	0.2	0.2	NUM
ejpam-6685	317	2	0.4	0.4	NUM
ejpam-6685	317	3	0.6	0.6	NUM
ejpam-6685	317	4	0.8	0.8	NUM
ejpam-6685	317	5	1	1	NUM
ejpam-6685	317	6	1.2	1.2	NUM
ejpam-6685	317	7	1.4	1.4	NUM
ejpam-6685	317	8	1.6	1.6	NUM
ejpam-6685	317	9	1.8	1.8	NUM
ejpam-6685	317	10	2	2	NUM
ejpam-6685	317	11	in	in	ADP
ejpam-6685	317	12	fe	fe	X
ejpam-6685	317	13	c	c	X
ejpam-6685	317	14	te	te	PROPN
ejpam-6685	318	1	d	d	X
ejpam-6685	318	2	h	h	PRON
ejpam-6685	318	3	o	o	NOUN
ejpam-6685	318	4	ts	ts	ADP
ejpam-6685	318	5	30	30	NUM
ejpam-6685	318	6	40	40	NUM
ejpam-6685	318	7	50	50	NUM
ejpam-6685	318	8	60	60	NUM
ejpam-6685	318	9	70	70	NUM
ejpam-6685	318	10	80	80	NUM
ejpam-6685	318	11	90	90	NUM
ejpam-6685	318	12	100	100	NUM
ejpam-6685	318	13	(	(	PUNCT
ejpam-6685	318	14	a	a	NOUN
ejpam-6685	318	15	)	)	PUNCT
ejpam-6685	318	16	time	time	NOUN
ejpam-6685	318	17	in	in	ADP
ejpam-6685	318	18	months	month	NOUN
ejpam-6685	318	19	0	0	NUM
ejpam-6685	318	20	0.2	0.2	NUM
ejpam-6685	318	21	0.4	0.4	NUM
ejpam-6685	318	22	0.6	0.6	NUM
ejpam-6685	318	23	0.8	0.8	NUM
ejpam-6685	318	24	1	1	NUM
ejpam-6685	318	25	1.2	1.2	NUM
ejpam-6685	318	26	1.4	1.4	NUM
ejpam-6685	318	27	1.6	1.6	NUM
ejpam-6685	318	28	1.8	1.8	NUM
ejpam-6685	318	29	2	2	NUM
ejpam-6685	318	30	in	in	ADP
ejpam-6685	318	31	fe	fe	X
ejpam-6685	318	32	c	c	X
ejpam-6685	318	33	te	te	PROPN
ejpam-6685	319	1	d	d	X
ejpam-6685	319	2	v	v	X
ejpam-6685	319	3	e	e	X
ejpam-6685	319	4	c	c	NOUN
ejpam-6685	319	5	to	to	PART
ejpam-6685	319	6	rs	rs	VERB
ejpam-6685	319	7	40	40	NUM
ejpam-6685	319	8	50	50	NUM
ejpam-6685	319	9	60	60	NUM
ejpam-6685	319	10	70	70	NUM
ejpam-6685	319	11	80	80	NUM
ejpam-6685	319	12	90	90	NUM
ejpam-6685	319	13	100	100	NUM
ejpam-6685	319	14	(	(	PUNCT
ejpam-6685	319	15	b	b	NOUN
ejpam-6685	319	16	)	)	PUNCT
ejpam-6685	319	17	figure	figure	NOUN
ejpam-6685	319	18	1	1	NUM
ejpam-6685	319	19	:	:	PUNCT
ejpam-6685	319	20	the	the	DET
ejpam-6685	319	21	dynamics	dynamic	NOUN
ejpam-6685	319	22	of	of	ADP
ejpam-6685	319	23	infected	infect	VERB
ejpam-6685	319	24	individuals	individual	NOUN
ejpam-6685	319	25	of	of	ADP
ejpam-6685	319	26	system	system	NOUN
ejpam-6685	319	27	(	(	PUNCT
ejpam-6685	319	28	2	2	NUM
ejpam-6685	319	29	)	)	PUNCT
ejpam-6685	319	30	of	of	ADP
ejpam-6685	319	31	dengue	dengue	NOUN
ejpam-6685	319	32	fever	fever	NOUN
ejpam-6685	319	33	with	with	ADP
ejpam-6685	319	34	different	different	ADJ
ejpam-6685	319	35	fractional	fractional	ADJ
ejpam-6685	319	36	and	and	CCONJ
ejpam-6685	319	37	fractal	fractal	ADJ
ejpam-6685	319	38	values	value	NOUN
ejpam-6685	319	39	while	while	SCONJ
ejpam-6685	319	40	the	the	DET
ejpam-6685	319	41	values	value	NOUN
ejpam-6685	319	42	of	of	ADP
ejpam-6685	319	43	other	other	ADJ
ejpam-6685	319	44	parameters	parameter	NOUN
ejpam-6685	319	45	are	be	AUX
ejpam-6685	319	46	fixed	fix	VERB
ejpam-6685	319	47	.	.	PUNCT
ejpam-6685	320	1	time	time	NOUN
ejpam-6685	320	2	in	in	ADP
ejpam-6685	320	3	months	month	NOUN
ejpam-6685	320	4	0	0	NUM
ejpam-6685	320	5	0.2	0.2	NUM
ejpam-6685	320	6	0.4	0.4	NUM
ejpam-6685	320	7	0.6	0.6	NUM
ejpam-6685	320	8	0.8	0.8	NUM
ejpam-6685	320	9	1	1	NUM
ejpam-6685	320	10	1.2	1.2	NUM
ejpam-6685	320	11	1.4	1.4	NUM
ejpam-6685	320	12	1.6	1.6	NUM
ejpam-6685	320	13	1.8	1.8	NUM
ejpam-6685	320	14	2	2	NUM
ejpam-6685	320	15	in	in	ADP
ejpam-6685	320	16	fe	fe	X
ejpam-6685	320	17	c	c	X
ejpam-6685	320	18	te	te	PROPN
ejpam-6685	321	1	d	d	X
ejpam-6685	321	2	h	h	PRON
ejpam-6685	321	3	o	o	NOUN
ejpam-6685	321	4	ts	ts	ADP
ejpam-6685	321	5	30	30	NUM
ejpam-6685	321	6	40	40	NUM
ejpam-6685	321	7	50	50	NUM
ejpam-6685	321	8	60	60	NUM
ejpam-6685	321	9	70	70	NUM
ejpam-6685	321	10	80	80	NUM
ejpam-6685	321	11	90	90	NUM
ejpam-6685	321	12	(	(	PUNCT
ejpam-6685	321	13	a	a	NOUN
ejpam-6685	321	14	)	)	PUNCT
ejpam-6685	321	15	time	time	NOUN
ejpam-6685	321	16	in	in	ADP
ejpam-6685	321	17	months	month	NOUN
ejpam-6685	321	18	0	0	NUM
ejpam-6685	321	19	0.2	0.2	NUM
ejpam-6685	321	20	0.4	0.4	NUM
ejpam-6685	321	21	0.6	0.6	NUM
ejpam-6685	321	22	0.8	0.8	NUM
ejpam-6685	321	23	1	1	NUM
ejpam-6685	321	24	1.2	1.2	NUM
ejpam-6685	321	25	1.4	1.4	NUM
ejpam-6685	321	26	1.6	1.6	NUM
ejpam-6685	321	27	1.8	1.8	NUM
ejpam-6685	321	28	2	2	NUM
ejpam-6685	321	29	in	in	ADP
ejpam-6685	321	30	fe	fe	X
ejpam-6685	321	31	c	c	X
ejpam-6685	321	32	te	te	PROPN
ejpam-6685	322	1	d	d	X
ejpam-6685	322	2	v	v	X
ejpam-6685	322	3	e	e	X
ejpam-6685	322	4	c	c	NOUN
ejpam-6685	322	5	to	to	PART
ejpam-6685	322	6	rs	rs	VERB
ejpam-6685	322	7	40	40	NUM
ejpam-6685	322	8	50	50	NUM
ejpam-6685	322	9	60	60	NUM
ejpam-6685	322	10	70	70	NUM
ejpam-6685	322	11	80	80	NUM
ejpam-6685	322	12	90	90	NUM
ejpam-6685	322	13	100	100	NUM
ejpam-6685	322	14	(	(	PUNCT
ejpam-6685	322	15	b	b	NOUN
ejpam-6685	322	16	)	)	PUNCT
ejpam-6685	322	17	figure	figure	NOUN
ejpam-6685	322	18	2	2	NUM
ejpam-6685	322	19	:	:	PUNCT
ejpam-6685	322	20	the	the	DET
ejpam-6685	322	21	dynamics	dynamic	NOUN
ejpam-6685	322	22	of	of	ADP
ejpam-6685	322	23	infected	infect	VERB
ejpam-6685	322	24	individuals	individual	NOUN
ejpam-6685	322	25	of	of	ADP
ejpam-6685	322	26	system	system	NOUN
ejpam-6685	322	27	(	(	PUNCT
ejpam-6685	322	28	2	2	NUM
ejpam-6685	322	29	)	)	PUNCT
ejpam-6685	322	30	of	of	ADP
ejpam-6685	322	31	dengue	dengue	NOUN
ejpam-6685	322	32	fever	fever	NOUN
ejpam-6685	322	33	with	with	ADP
ejpam-6685	322	34	different	different	ADJ
ejpam-6685	322	35	values	value	NOUN
ejpam-6685	322	36	of	of	ADP
ejpam-6685	322	37	b	b	NOUN
ejpam-6685	322	38	while	while	SCONJ
ejpam-6685	322	39	the	the	DET
ejpam-6685	322	40	values	value	NOUN
ejpam-6685	322	41	of	of	ADP
ejpam-6685	322	42	other	other	ADJ
ejpam-6685	322	43	parameters	parameter	NOUN
ejpam-6685	322	44	are	be	AUX
ejpam-6685	322	45	fixed	fix	VERB
ejpam-6685	322	46	.	.	PUNCT
ejpam-6685	323	1	m.	m.	NOUN
ejpam-6685	323	2	alsulami	alsulami	PROPN
ejpam-6685	323	3	,	,	PUNCT
ejpam-6685	323	4	r.	r.	PROPN
ejpam-6685	323	5	jan	jan	PROPN
ejpam-6685	323	6	,	,	PUNCT
ejpam-6685	323	7	e.	e.	PROPN
ejpam-6685	323	8	antonescu	antonescu	PROPN
ejpam-6685	323	9	/	/	SYM
ejpam-6685	323	10	eur	eur	PROPN
ejpam-6685	323	11	.	.	PUNCT
ejpam-6685	324	1	j.	j.	PROPN
ejpam-6685	324	2	pure	pure	PROPN
ejpam-6685	324	3	appl	appl	PROPN
ejpam-6685	324	4	.	.	PROPN
ejpam-6685	324	5	math	math	PROPN
ejpam-6685	324	6	,	,	PUNCT
ejpam-6685	324	7	18	18	NUM
ejpam-6685	324	8	(	(	PUNCT
ejpam-6685	324	9	3	3	NUM
ejpam-6685	324	10	)	)	PUNCT
ejpam-6685	324	11	(	(	PUNCT
ejpam-6685	324	12	2025	2025	NUM
ejpam-6685	324	13	)	)	PUNCT
ejpam-6685	324	14	,	,	PUNCT
ejpam-6685	324	15	6685	6685	NUM
ejpam-6685	324	16	13	13	NUM
ejpam-6685	324	17	of	of	ADP
ejpam-6685	324	18	19	19	NUM
ejpam-6685	324	19	time	time	NOUN
ejpam-6685	324	20	in	in	ADP
ejpam-6685	324	21	months	month	NOUN
ejpam-6685	324	22	0	0	NUM
ejpam-6685	325	1	0.2	0.2	NUM
ejpam-6685	325	2	0.4	0.4	NUM
ejpam-6685	325	3	0.6	0.6	NUM
ejpam-6685	325	4	0.8	0.8	NUM
ejpam-6685	325	5	1	1	NUM
ejpam-6685	325	6	1.2	1.2	NUM
ejpam-6685	325	7	1.4	1.4	NUM
ejpam-6685	325	8	1.6	1.6	NUM
ejpam-6685	325	9	1.8	1.8	NUM
ejpam-6685	325	10	2	2	NUM
ejpam-6685	325	11	in	in	ADP
ejpam-6685	325	12	fe	fe	X
ejpam-6685	325	13	c	c	X
ejpam-6685	325	14	te	te	PROPN
ejpam-6685	326	1	d	d	X
ejpam-6685	326	2	h	h	PRON
ejpam-6685	326	3	o	o	NOUN
ejpam-6685	326	4	ts	ts	ADP
ejpam-6685	326	5	30	30	NUM
ejpam-6685	326	6	40	40	NUM
ejpam-6685	326	7	50	50	NUM
ejpam-6685	326	8	60	60	NUM
ejpam-6685	326	9	70	70	NUM
ejpam-6685	326	10	80	80	NUM
ejpam-6685	326	11	90	90	NUM
ejpam-6685	326	12	(	(	PUNCT
ejpam-6685	326	13	a	a	NOUN
ejpam-6685	326	14	)	)	PUNCT
ejpam-6685	326	15	time	time	NOUN
ejpam-6685	326	16	in	in	ADP
ejpam-6685	326	17	months	month	NOUN
ejpam-6685	326	18	0	0	NUM
ejpam-6685	326	19	0.2	0.2	NUM
ejpam-6685	326	20	0.4	0.4	NUM
ejpam-6685	326	21	0.6	0.6	NUM
ejpam-6685	326	22	0.8	0.8	NUM
ejpam-6685	326	23	1	1	NUM
ejpam-6685	326	24	1.2	1.2	NUM
ejpam-6685	326	25	1.4	1.4	NUM
ejpam-6685	326	26	1.6	1.6	NUM
ejpam-6685	326	27	1.8	1.8	NUM
ejpam-6685	326	28	2	2	NUM
ejpam-6685	326	29	in	in	ADP
ejpam-6685	326	30	fe	fe	X
ejpam-6685	326	31	c	c	X
ejpam-6685	326	32	te	te	PROPN
ejpam-6685	327	1	d	d	X
ejpam-6685	327	2	v	v	X
ejpam-6685	327	3	e	e	X
ejpam-6685	327	4	c	c	NOUN
ejpam-6685	327	5	to	to	PART
ejpam-6685	327	6	rs	rs	VERB
ejpam-6685	327	7	40	40	NUM
ejpam-6685	327	8	45	45	NUM
ejpam-6685	327	9	50	50	NUM
ejpam-6685	327	10	55	55	NUM
ejpam-6685	327	11	60	60	NUM
ejpam-6685	327	12	65	65	NUM
ejpam-6685	327	13	70	70	NUM
ejpam-6685	327	14	75	75	NUM
ejpam-6685	327	15	80	80	NUM
ejpam-6685	327	16	85	85	NUM
ejpam-6685	327	17	90	90	NUM
ejpam-6685	327	18	(	(	PUNCT
ejpam-6685	327	19	b	b	NOUN
ejpam-6685	327	20	)	)	PUNCT
ejpam-6685	327	21	figure	figure	NOUN
ejpam-6685	327	22	3	3	NUM
ejpam-6685	327	23	:	:	PUNCT
ejpam-6685	327	24	the	the	DET
ejpam-6685	327	25	dynamics	dynamic	NOUN
ejpam-6685	327	26	of	of	ADP
ejpam-6685	327	27	infected	infect	VERB
ejpam-6685	327	28	individuals	individual	NOUN
ejpam-6685	327	29	of	of	ADP
ejpam-6685	327	30	system	system	NOUN
ejpam-6685	327	31	(	(	PUNCT
ejpam-6685	327	32	2	2	NUM
ejpam-6685	327	33	)	)	PUNCT
ejpam-6685	327	34	of	of	ADP
ejpam-6685	327	35	dengue	dengue	NOUN
ejpam-6685	327	36	fever	fever	NOUN
ejpam-6685	327	37	with	with	ADP
ejpam-6685	327	38	different	different	ADJ
ejpam-6685	327	39	values	value	NOUN
ejpam-6685	327	40	of	of	ADP
ejpam-6685	327	41	β1	β1	PROPN
ejpam-6685	327	42	while	while	SCONJ
ejpam-6685	327	43	the	the	DET
ejpam-6685	327	44	values	value	NOUN
ejpam-6685	327	45	of	of	ADP
ejpam-6685	327	46	other	other	ADJ
ejpam-6685	327	47	parameters	parameter	NOUN
ejpam-6685	327	48	are	be	AUX
ejpam-6685	327	49	fixed	fix	VERB
ejpam-6685	327	50	.	.	PUNCT
ejpam-6685	328	1	time	time	NOUN
ejpam-6685	328	2	in	in	ADP
ejpam-6685	328	3	months	month	NOUN
ejpam-6685	328	4	0	0	NUM
ejpam-6685	328	5	0.2	0.2	NUM
ejpam-6685	328	6	0.4	0.4	NUM
ejpam-6685	328	7	0.6	0.6	NUM
ejpam-6685	328	8	0.8	0.8	NUM
ejpam-6685	328	9	1	1	NUM
ejpam-6685	328	10	1.2	1.2	NUM
ejpam-6685	328	11	1.4	1.4	NUM
ejpam-6685	328	12	1.6	1.6	NUM
ejpam-6685	328	13	1.8	1.8	NUM
ejpam-6685	328	14	2	2	NUM
ejpam-6685	328	15	in	in	ADP
ejpam-6685	328	16	fe	fe	X
ejpam-6685	328	17	c	c	X
ejpam-6685	328	18	te	te	PROPN
ejpam-6685	329	1	d	d	X
ejpam-6685	329	2	h	h	PRON
ejpam-6685	329	3	o	o	NOUN
ejpam-6685	329	4	ts	ts	ADP
ejpam-6685	329	5	30	30	NUM
ejpam-6685	329	6	40	40	NUM
ejpam-6685	329	7	50	50	NUM
ejpam-6685	329	8	60	60	NUM
ejpam-6685	329	9	70	70	NUM
ejpam-6685	329	10	80	80	NUM
ejpam-6685	329	11	90	90	NUM
ejpam-6685	329	12	(	(	PUNCT
ejpam-6685	329	13	a	a	NOUN
ejpam-6685	329	14	)	)	PUNCT
ejpam-6685	329	15	time	time	NOUN
ejpam-6685	329	16	in	in	ADP
ejpam-6685	329	17	months	month	NOUN
ejpam-6685	329	18	0	0	NUM
ejpam-6685	329	19	0.2	0.2	NUM
ejpam-6685	329	20	0.4	0.4	NUM
ejpam-6685	329	21	0.6	0.6	NUM
ejpam-6685	329	22	0.8	0.8	NUM
ejpam-6685	329	23	1	1	NUM
ejpam-6685	329	24	1.2	1.2	NUM
ejpam-6685	329	25	1.4	1.4	NUM
ejpam-6685	329	26	1.6	1.6	NUM
ejpam-6685	329	27	1.8	1.8	NUM
ejpam-6685	329	28	2	2	NUM
ejpam-6685	329	29	in	in	ADP
ejpam-6685	329	30	fe	fe	X
ejpam-6685	329	31	c	c	X
ejpam-6685	329	32	te	te	PROPN
ejpam-6685	330	1	d	d	X
ejpam-6685	330	2	v	v	X
ejpam-6685	330	3	e	e	X
ejpam-6685	330	4	c	c	NOUN
ejpam-6685	330	5	to	to	PART
ejpam-6685	330	6	rs	rs	VERB
ejpam-6685	330	7	40	40	NUM
ejpam-6685	330	8	50	50	NUM
ejpam-6685	330	9	60	60	NUM
ejpam-6685	330	10	70	70	NUM
ejpam-6685	330	11	80	80	NUM
ejpam-6685	330	12	90	90	NUM
ejpam-6685	330	13	100	100	NUM
ejpam-6685	330	14	110	110	NUM
ejpam-6685	330	15	(	(	PUNCT
ejpam-6685	330	16	b	b	NOUN
ejpam-6685	330	17	)	)	PUNCT
ejpam-6685	330	18	figure	figure	NOUN
ejpam-6685	330	19	4	4	NUM
ejpam-6685	330	20	:	:	PUNCT
ejpam-6685	330	21	the	the	DET
ejpam-6685	330	22	dynamics	dynamic	NOUN
ejpam-6685	330	23	of	of	ADP
ejpam-6685	330	24	infected	infect	VERB
ejpam-6685	330	25	individuals	individual	NOUN
ejpam-6685	330	26	of	of	ADP
ejpam-6685	330	27	system	system	NOUN
ejpam-6685	330	28	(	(	PUNCT
ejpam-6685	330	29	2	2	NUM
ejpam-6685	330	30	)	)	PUNCT
ejpam-6685	330	31	of	of	ADP
ejpam-6685	330	32	dengue	dengue	NOUN
ejpam-6685	330	33	fever	fever	NOUN
ejpam-6685	330	34	with	with	ADP
ejpam-6685	330	35	different	different	ADJ
ejpam-6685	330	36	values	value	NOUN
ejpam-6685	330	37	of	of	ADP
ejpam-6685	330	38	β3	β3	ADJ
ejpam-6685	330	39	while	while	SCONJ
ejpam-6685	330	40	the	the	DET
ejpam-6685	330	41	values	value	NOUN
ejpam-6685	330	42	of	of	ADP
ejpam-6685	330	43	other	other	ADJ
ejpam-6685	330	44	parameters	parameter	NOUN
ejpam-6685	330	45	are	be	AUX
ejpam-6685	330	46	fixed	fix	VERB
ejpam-6685	330	47	.	.	PUNCT
ejpam-6685	331	1	m.	m.	NOUN
ejpam-6685	331	2	alsulami	alsulami	PROPN
ejpam-6685	331	3	,	,	PUNCT
ejpam-6685	331	4	r.	r.	PROPN
ejpam-6685	331	5	jan	jan	PROPN
ejpam-6685	331	6	,	,	PUNCT
ejpam-6685	331	7	e.	e.	PROPN
ejpam-6685	331	8	antonescu	antonescu	PROPN
ejpam-6685	331	9	/	/	SYM
ejpam-6685	331	10	eur	eur	PROPN
ejpam-6685	331	11	.	.	PUNCT
ejpam-6685	332	1	j.	j.	PROPN
ejpam-6685	332	2	pure	pure	PROPN
ejpam-6685	332	3	appl	appl	PROPN
ejpam-6685	332	4	.	.	PROPN
ejpam-6685	332	5	math	math	PROPN
ejpam-6685	332	6	,	,	PUNCT
ejpam-6685	332	7	18	18	NUM
ejpam-6685	332	8	(	(	PUNCT
ejpam-6685	332	9	3	3	NUM
ejpam-6685	332	10	)	)	PUNCT
ejpam-6685	332	11	(	(	PUNCT
ejpam-6685	332	12	2025	2025	NUM
ejpam-6685	332	13	)	)	PUNCT
ejpam-6685	332	14	,	,	PUNCT
ejpam-6685	332	15	6685	6685	NUM
ejpam-6685	332	16	14	14	NUM
ejpam-6685	332	17	of	of	ADP
ejpam-6685	332	18	19	19	NUM
ejpam-6685	332	19	time	time	NOUN
ejpam-6685	332	20	in	in	ADP
ejpam-6685	332	21	months	month	NOUN
ejpam-6685	332	22	0	0	NUM
ejpam-6685	333	1	0.2	0.2	NUM
ejpam-6685	333	2	0.4	0.4	NUM
ejpam-6685	333	3	0.6	0.6	NUM
ejpam-6685	333	4	0.8	0.8	NUM
ejpam-6685	333	5	1	1	NUM
ejpam-6685	333	6	1.2	1.2	NUM
ejpam-6685	333	7	1.4	1.4	NUM
ejpam-6685	333	8	1.6	1.6	NUM
ejpam-6685	333	9	1.8	1.8	NUM
ejpam-6685	333	10	2	2	NUM
ejpam-6685	333	11	in	in	ADP
ejpam-6685	333	12	fe	fe	X
ejpam-6685	333	13	c	c	X
ejpam-6685	333	14	te	te	PROPN
ejpam-6685	334	1	d	d	X
ejpam-6685	334	2	h	h	PRON
ejpam-6685	334	3	o	o	NOUN
ejpam-6685	334	4	ts	ts	ADP
ejpam-6685	334	5	30	30	NUM
ejpam-6685	334	6	40	40	NUM
ejpam-6685	334	7	50	50	NUM
ejpam-6685	334	8	60	60	NUM
ejpam-6685	334	9	70	70	NUM
ejpam-6685	334	10	80	80	NUM
ejpam-6685	334	11	90	90	NUM
ejpam-6685	334	12	(	(	PUNCT
ejpam-6685	334	13	a	a	NOUN
ejpam-6685	334	14	)	)	PUNCT
ejpam-6685	334	15	time	time	NOUN
ejpam-6685	334	16	in	in	ADP
ejpam-6685	334	17	months	month	NOUN
ejpam-6685	334	18	0	0	NUM
ejpam-6685	334	19	0.2	0.2	NUM
ejpam-6685	334	20	0.4	0.4	NUM
ejpam-6685	334	21	0.6	0.6	NUM
ejpam-6685	334	22	0.8	0.8	NUM
ejpam-6685	334	23	1	1	NUM
ejpam-6685	334	24	1.2	1.2	NUM
ejpam-6685	334	25	1.4	1.4	NUM
ejpam-6685	334	26	1.6	1.6	NUM
ejpam-6685	334	27	1.8	1.8	NUM
ejpam-6685	334	28	2	2	NUM
ejpam-6685	334	29	in	in	ADP
ejpam-6685	334	30	fe	fe	X
ejpam-6685	334	31	c	c	X
ejpam-6685	334	32	te	te	PROPN
ejpam-6685	335	1	d	d	X
ejpam-6685	335	2	v	v	X
ejpam-6685	335	3	e	e	X
ejpam-6685	335	4	c	c	NOUN
ejpam-6685	335	5	to	to	PART
ejpam-6685	335	6	rs	rs	VERB
ejpam-6685	335	7	40	40	NUM
ejpam-6685	335	8	50	50	NUM
ejpam-6685	335	9	60	60	NUM
ejpam-6685	335	10	70	70	NUM
ejpam-6685	335	11	80	80	NUM
ejpam-6685	335	12	90	90	NUM
ejpam-6685	335	13	100	100	NUM
ejpam-6685	335	14	(	(	PUNCT
ejpam-6685	335	15	b	b	NOUN
ejpam-6685	335	16	)	)	PUNCT
ejpam-6685	335	17	figure	figure	NOUN
ejpam-6685	335	18	5	5	NUM
ejpam-6685	335	19	:	:	PUNCT
ejpam-6685	335	20	the	the	DET
ejpam-6685	335	21	dynamics	dynamic	NOUN
ejpam-6685	335	22	of	of	ADP
ejpam-6685	335	23	infected	infect	VERB
ejpam-6685	335	24	individuals	individual	NOUN
ejpam-6685	335	25	of	of	ADP
ejpam-6685	335	26	system	system	NOUN
ejpam-6685	335	27	(	(	PUNCT
ejpam-6685	335	28	2	2	NUM
ejpam-6685	335	29	)	)	PUNCT
ejpam-6685	335	30	of	of	ADP
ejpam-6685	335	31	dengue	dengue	NOUN
ejpam-6685	335	32	fever	fever	NOUN
ejpam-6685	335	33	with	with	ADP
ejpam-6685	335	34	different	different	ADJ
ejpam-6685	335	35	rate	rate	NOUN
ejpam-6685	335	36	of	of	ADP
ejpam-6685	335	37	treatment	treatment	NOUN
ejpam-6685	335	38	while	while	SCONJ
ejpam-6685	335	39	the	the	DET
ejpam-6685	335	40	values	value	NOUN
ejpam-6685	335	41	of	of	ADP
ejpam-6685	335	42	other	other	ADJ
ejpam-6685	335	43	parameters	parameter	NOUN
ejpam-6685	335	44	are	be	AUX
ejpam-6685	335	45	fixed	fix	VERB
ejpam-6685	335	46	.	.	PUNCT
ejpam-6685	336	1	which	which	PRON
ejpam-6685	336	2	further	far	ADV
ejpam-6685	336	3	gives	give	VERB
ejpam-6685	336	4	||φθ(t)−	||φθ(t)−	PROPN
ejpam-6685	336	5	ℏ(0)||	ℏ(0)||	PROPN
ejpam-6685	336	6	<	<	X
ejpam-6685	336	7	k	k	X
ejpam-6685	336	8	=	=	AUX
ejpam-6685	336	9	⇒	⇒	NOUN
ejpam-6685	336	10	v	v	NOUN
ejpam-6685	336	11	,	,	PUNCT
ejpam-6685	336	12	in	in	ADP
ejpam-6685	336	13	which	which	PRON
ejpam-6685	336	14	v	v	NOUN
ejpam-6685	336	15	=	=	SYM
ejpam-6685	336	16	supπc	supπc	NOUN
ejpam-6685	336	17	e	e	NOUN
ejpam-6685	336	18	|g|	|g|	PROPN
ejpam-6685	336	19	and	and	CCONJ
ejpam-6685	336	20	v	v	ADP
ejpam-6685	336	21	<	<	X
ejpam-6685	336	22	kγ(ρ	kγ(ρ	PROPN
ejpam-6685	336	23	)	)	PUNCT
ejpam-6685	337	1	ρκcκ+ρ−3b(κ	ρκcκ+ρ−3b(κ	ADP
ejpam-6685	337	2	,	,	PUNCT
ejpam-6685	337	3	ρ	ρ	NOUN
ejpam-6685	337	4	)	)	PUNCT
ejpam-6685	337	5	.	.	PUNCT
ejpam-6685	338	1	now	now	ADV
ejpam-6685	338	2	,	,	PUNCT
ejpam-6685	338	3	take	take	VERB
ejpam-6685	338	4	θ1	θ1	NOUN
ejpam-6685	338	5	and	and	CCONJ
ejpam-6685	338	6	θ2	θ2	PROPN
ejpam-6685	338	7	∈	∈	PROPN
ejpam-6685	338	8	c[in(tn	c[in(tn	NOUN
ejpam-6685	338	9	)	)	PUNCT
ejpam-6685	338	10	,	,	PUNCT
ejpam-6685	338	11	ae(tn	ae(tn	ADJ
ejpam-6685	338	12	)	)	PUNCT
ejpam-6685	338	13	]	]	PUNCT
ejpam-6685	338	14	,	,	PUNCT
ejpam-6685	338	15	and	and	CCONJ
ejpam-6685	338	16	determine	determine	VERB
ejpam-6685	338	17	the	the	DET
ejpam-6685	338	18	following	follow	VERB
ejpam-6685	338	19	||φθ1	||φθ1	NUM
ejpam-6685	338	20	−	−	NUM
ejpam-6685	338	21	φθ2||	φθ2||	NOUN
ejpam-6685	338	22	<	<	X
ejpam-6685	338	23	ρκl	ρκl	PROPN
ejpam-6685	338	24	γ(ρ	γ(ρ	PROPN
ejpam-6685	338	25	)	)	PUNCT
ejpam-6685	338	26	cκ+ρ−3b(κ	cκ+ρ−3b(κ	PROPN
ejpam-6685	338	27	,	,	PUNCT
ejpam-6685	338	28	ρ	ρ	PROPN
ejpam-6685	338	29	)	)	PUNCT
ejpam-6685	338	30	.	.	PUNCT
ejpam-6685	339	1	as	as	ADP
ejpam-6685	339	2	a	a	DET
ejpam-6685	339	3	result	result	NOUN
ejpam-6685	339	4	of	of	ADP
ejpam-6685	339	5	this	this	PRON
ejpam-6685	339	6	,	,	PUNCT
ejpam-6685	339	7	one	one	PRON
ejpam-6685	339	8	get	get	VERB
ejpam-6685	339	9	the	the	DET
ejpam-6685	339	10	contractive	contractive	ADJ
ejpam-6685	339	11	property	property	NOUN
ejpam-6685	339	12	as	as	ADP
ejpam-6685	339	13	l	l	NOUN
ejpam-6685	339	14	<	<	X
ejpam-6685	339	15	γ(ρ	γ(ρ	PROPN
ejpam-6685	339	16	)	)	PUNCT
ejpam-6685	340	1	ρκcκ+ρ−3b(κ	ρκcκ+ρ−3b(κ	PROPN
ejpam-6685	340	2	,	,	PUNCT
ejpam-6685	340	3	ρ	ρ	PROPN
ejpam-6685	340	4	)	)	PUNCT
ejpam-6685	340	5	.	.	PUNCT
ejpam-6685	341	1	in	in	ADP
ejpam-6685	341	2	the	the	DET
ejpam-6685	341	3	case	case	NOUN
ejpam-6685	341	4	,	,	PUNCT
ejpam-6685	341	5	if	if	SCONJ
ejpam-6685	341	6	the	the	DET
ejpam-6685	341	7	above	above	ADJ
ejpam-6685	341	8	is	be	AUX
ejpam-6685	341	9	obtained	obtain	VERB
ejpam-6685	341	10	then	then	ADV
ejpam-6685	341	11	we	we	PRON
ejpam-6685	341	12	have	have	VERB
ejpam-6685	341	13	v	v	ADP
ejpam-6685	341	14	<	<	X
ejpam-6685	341	15	kγ(ρ	kγ(ρ	PROPN
ejpam-6685	341	16	)	)	PUNCT
ejpam-6685	342	1	ρκcκ+ρ−3b(κ	ρκcκ+ρ−3b(κ	PROPN
ejpam-6685	342	2	,	,	PUNCT
ejpam-6685	342	3	ρ	ρ	PROPN
ejpam-6685	342	4	)	)	PUNCT
ejpam-6685	342	5	,	,	PUNCT
ejpam-6685	342	6	thus	thus	ADV
ejpam-6685	342	7	,	,	PUNCT
ejpam-6685	342	8	under	under	ADP
ejpam-6685	342	9	power	power	NOUN
ejpam-6685	342	10	law	law	NOUN
ejpam-6685	342	11	the	the	DET
ejpam-6685	342	12	existence	existence	NOUN
ejpam-6685	342	13	and	and	CCONJ
ejpam-6685	342	14	uniqueness	uniqueness	NOUN
ejpam-6685	342	15	of	of	ADP
ejpam-6685	342	16	the	the	DET
ejpam-6685	342	17	solution	solution	NOUN
ejpam-6685	342	18	of	of	ADP
ejpam-6685	342	19	the	the	DET
ejpam-6685	342	20	model	model	NOUN
ejpam-6685	342	21	has	have	AUX
ejpam-6685	342	22	been	be	AUX
ejpam-6685	342	23	proved	prove	VERB
ejpam-6685	342	24	and	and	CCONJ
ejpam-6685	342	25	the	the	DET
ejpam-6685	342	26	proof	proof	NOUN
ejpam-6685	342	27	is	be	AUX
ejpam-6685	342	28	completed	complete	VERB
ejpam-6685	342	29	.	.	PUNCT
ejpam-6685	343	1	m.	m.	NOUN
ejpam-6685	343	2	alsulami	alsulami	PROPN
ejpam-6685	343	3	,	,	PUNCT
ejpam-6685	343	4	r.	r.	PROPN
ejpam-6685	343	5	jan	jan	PROPN
ejpam-6685	343	6	,	,	PUNCT
ejpam-6685	343	7	e.	e.	PROPN
ejpam-6685	343	8	antonescu	antonescu	PROPN
ejpam-6685	343	9	/	/	SYM
ejpam-6685	343	10	eur	eur	PROPN
ejpam-6685	343	11	.	.	PUNCT
ejpam-6685	344	1	j.	j.	PROPN
ejpam-6685	344	2	pure	pure	PROPN
ejpam-6685	344	3	appl	appl	PROPN
ejpam-6685	344	4	.	.	PROPN
ejpam-6685	344	5	math	math	PROPN
ejpam-6685	344	6	,	,	PUNCT
ejpam-6685	344	7	18	18	NUM
ejpam-6685	344	8	(	(	PUNCT
ejpam-6685	344	9	3	3	NUM
ejpam-6685	344	10	)	)	PUNCT
ejpam-6685	344	11	(	(	PUNCT
ejpam-6685	344	12	2025	2025	NUM
ejpam-6685	344	13	)	)	PUNCT
ejpam-6685	344	14	,	,	PUNCT
ejpam-6685	344	15	6685	6685	NUM
ejpam-6685	344	16	15	15	NUM
ejpam-6685	344	17	of	of	ADP
ejpam-6685	344	18	19	19	NUM
ejpam-6685	344	19	5	5	NUM
ejpam-6685	344	20	.	.	PUNCT
ejpam-6685	344	21	results	result	NOUN
ejpam-6685	344	22	and	and	CCONJ
ejpam-6685	344	23	discussions	discussion	NOUN
ejpam-6685	344	24	numerical	numerical	ADJ
ejpam-6685	344	25	simulations	simulation	NOUN
ejpam-6685	344	26	are	be	AUX
ejpam-6685	344	27	essential	essential	ADJ
ejpam-6685	344	28	for	for	ADP
ejpam-6685	344	29	understanding	understand	VERB
ejpam-6685	344	30	the	the	DET
ejpam-6685	344	31	complex	complex	ADJ
ejpam-6685	344	32	dynamics	dynamic	NOUN
ejpam-6685	344	33	of	of	ADP
ejpam-6685	344	34	epidemic	epidemic	NOUN
ejpam-6685	344	35	models	model	NOUN
ejpam-6685	344	36	.	.	PUNCT
ejpam-6685	345	1	these	these	DET
ejpam-6685	345	2	computational	computational	ADJ
ejpam-6685	345	3	investigations	investigation	NOUN
ejpam-6685	345	4	enable	enable	VERB
ejpam-6685	345	5	the	the	DET
ejpam-6685	345	6	systematic	systematic	ADJ
ejpam-6685	345	7	exploration	exploration	NOUN
ejpam-6685	345	8	of	of	ADP
ejpam-6685	345	9	disease	disease	NOUN
ejpam-6685	345	10	transmission	transmission	NOUN
ejpam-6685	345	11	dynamics	dynamic	NOUN
ejpam-6685	345	12	over	over	ADP
ejpam-6685	345	13	time	time	NOUN
ejpam-6685	345	14	,	,	PUNCT
ejpam-6685	345	15	offering	offer	VERB
ejpam-6685	345	16	insights	insight	NOUN
ejpam-6685	345	17	into	into	ADP
ejpam-6685	345	18	how	how	SCONJ
ejpam-6685	345	19	infection	infection	NOUN
ejpam-6685	345	20	trajectories	trajectory	NOUN
ejpam-6685	345	21	evolve	evolve	VERB
ejpam-6685	345	22	in	in	ADP
ejpam-6685	345	23	response	response	NOUN
ejpam-6685	345	24	to	to	ADP
ejpam-6685	345	25	varying	vary	VERB
ejpam-6685	345	26	initial	initial	ADJ
ejpam-6685	345	27	states	state	NOUN
ejpam-6685	345	28	and	and	CCONJ
ejpam-6685	345	29	parameter	parameter	NOUN
ejpam-6685	345	30	regimes	regime	NOUN
ejpam-6685	345	31	.	.	PUNCT
ejpam-6685	346	1	by	by	ADP
ejpam-6685	346	2	employing	employ	VERB
ejpam-6685	346	3	numerical	numerical	ADJ
ejpam-6685	346	4	approaches	approach	NOUN
ejpam-6685	346	5	,	,	PUNCT
ejpam-6685	346	6	researchers	researcher	NOUN
ejpam-6685	346	7	can	can	AUX
ejpam-6685	346	8	detect	detect	VERB
ejpam-6685	346	9	emergent	emergent	ADJ
ejpam-6685	346	10	phenomena	phenomenon	NOUN
ejpam-6685	346	11	including	include	VERB
ejpam-6685	346	12	sustained	sustained	ADJ
ejpam-6685	346	13	oscillations	oscillation	NOUN
ejpam-6685	346	14	,	,	PUNCT
ejpam-6685	346	15	asymptotic	asymptotic	ADJ
ejpam-6685	346	16	stability	stability	NOUN
ejpam-6685	346	17	,	,	PUNCT
ejpam-6685	346	18	disease	disease	NOUN
ejpam-6685	346	19	eradication	eradication	NOUN
ejpam-6685	346	20	,	,	PUNCT
ejpam-6685	346	21	or	or	CCONJ
ejpam-6685	346	22	endemic	endemic	ADJ
ejpam-6685	346	23	persistence	persistence	NOUN
ejpam-6685	346	24	.	.	PUNCT
ejpam-6685	347	1	such	such	ADJ
ejpam-6685	347	2	patterns	pattern	NOUN
ejpam-6685	347	3	are	be	AUX
ejpam-6685	347	4	often	often	ADV
ejpam-6685	347	5	governed	govern	VERB
ejpam-6685	347	6	by	by	ADP
ejpam-6685	347	7	critical	critical	ADJ
ejpam-6685	347	8	threshold	threshold	NOUN
ejpam-6685	347	9	parameters	parameter	NOUN
ejpam-6685	347	10	-	-	PUNCT
ejpam-6685	347	11	most	most	ADV
ejpam-6685	347	12	notably	notably	ADV
ejpam-6685	347	13	the	the	DET
ejpam-6685	347	14	basic	basic	ADJ
ejpam-6685	347	15	reproduction	reproduction	NOUN
ejpam-6685	347	16	numberr0that	numberr0that	PRON
ejpam-6685	347	17	demarcate	demarcate	VERB
ejpam-6685	347	18	the	the	DET
ejpam-6685	347	19	boundary	boundary	NOUN
ejpam-6685	347	20	between	between	ADP
ejpam-6685	347	21	epidemic	epidemic	NOUN
ejpam-6685	347	22	outbreak	outbreak	NOUN
ejpam-6685	347	23	and	and	CCONJ
ejpam-6685	347	24	disease	disease	NOUN
ejpam-6685	347	25	extinction	extinction	NOUN
ejpam-6685	347	26	.	.	PUNCT
ejpam-6685	348	1	moreover	moreover	ADV
ejpam-6685	348	2	,	,	PUNCT
ejpam-6685	348	3	numerical	numerical	ADJ
ejpam-6685	348	4	findings	finding	NOUN
ejpam-6685	348	5	provide	provide	VERB
ejpam-6685	348	6	a	a	DET
ejpam-6685	348	7	unique	unique	ADJ
ejpam-6685	348	8	window	window	NOUN
ejpam-6685	348	9	into	into	ADP
ejpam-6685	348	10	the	the	DET
ejpam-6685	348	11	influence	influence	NOUN
ejpam-6685	348	12	of	of	ADP
ejpam-6685	348	13	biological	biological	ADJ
ejpam-6685	348	14	memory	memory	NOUN
ejpam-6685	348	15	,	,	PUNCT
ejpam-6685	348	16	temporally	temporally	ADV
ejpam-6685	348	17	varying	vary	VERB
ejpam-6685	348	18	control	control	NOUN
ejpam-6685	348	19	interventions	intervention	NOUN
ejpam-6685	348	20	,	,	PUNCT
ejpam-6685	348	21	and	and	CCONJ
ejpam-6685	348	22	intrinsic	intrinsic	ADJ
ejpam-6685	348	23	feedback	feedback	NOUN
ejpam-6685	348	24	mechanisms	mechanism	NOUN
ejpam-6685	348	25	-	-	PUNCT
ejpam-6685	348	26	features	feature	NOUN
ejpam-6685	348	27	that	that	PRON
ejpam-6685	348	28	are	be	AUX
ejpam-6685	348	29	often	often	ADV
ejpam-6685	348	30	analytically	analytically	ADV
ejpam-6685	348	31	intractable	intractable	ADJ
ejpam-6685	348	32	within	within	ADP
ejpam-6685	348	33	conventional	conventional	ADJ
ejpam-6685	348	34	modeling	modeling	NOUN
ejpam-6685	348	35	frameworks	framework	NOUN
ejpam-6685	348	36	.	.	PUNCT
ejpam-6685	349	1	in	in	ADP
ejpam-6685	349	2	essence	essence	NOUN
ejpam-6685	349	3	,	,	PUNCT
ejpam-6685	349	4	numerical	numerical	ADJ
ejpam-6685	349	5	experimentation	experimentation	NOUN
ejpam-6685	349	6	complements	complement	NOUN
ejpam-6685	349	7	and	and	CCONJ
ejpam-6685	349	8	extends	extend	VERB
ejpam-6685	349	9	theoretical	theoretical	ADJ
ejpam-6685	349	10	analysis	analysis	NOUN
ejpam-6685	349	11	,	,	PUNCT
ejpam-6685	349	12	furnishing	furnish	VERB
ejpam-6685	349	13	a	a	DET
ejpam-6685	349	14	robust	robust	ADJ
ejpam-6685	349	15	platform	platform	NOUN
ejpam-6685	349	16	for	for	ADP
ejpam-6685	349	17	validating	validate	VERB
ejpam-6685	349	18	mathematical	mathematical	ADJ
ejpam-6685	349	19	predictions	prediction	NOUN
ejpam-6685	349	20	,	,	PUNCT
ejpam-6685	349	21	probing	probe	VERB
ejpam-6685	349	22	diverse	diverse	ADJ
ejpam-6685	349	23	epidemiological	epidemiological	ADJ
ejpam-6685	349	24	scenarios	scenario	NOUN
ejpam-6685	349	25	,	,	PUNCT
ejpam-6685	349	26	and	and	CCONJ
ejpam-6685	349	27	informing	inform	VERB
ejpam-6685	349	28	the	the	DET
ejpam-6685	349	29	design	design	NOUN
ejpam-6685	349	30	of	of	ADP
ejpam-6685	349	31	effective	effective	ADJ
ejpam-6685	349	32	disease	disease	NOUN
ejpam-6685	349	33	mitigation	mitigation	NOUN
ejpam-6685	349	34	strategies	strategy	NOUN
ejpam-6685	349	35	grounded	ground	VERB
ejpam-6685	349	36	in	in	ADP
ejpam-6685	349	37	the	the	DET
ejpam-6685	349	38	model	model	NOUN
ejpam-6685	349	39	’s	’s	PART
ejpam-6685	349	40	long	long	ADJ
ejpam-6685	349	41	-	-	PUNCT
ejpam-6685	349	42	term	term	NOUN
ejpam-6685	349	43	dynamical	dynamical	ADJ
ejpam-6685	349	44	landscape	landscape	NOUN
ejpam-6685	349	45	.	.	PUNCT
ejpam-6685	350	1	in	in	ADP
ejpam-6685	350	2	this	this	DET
ejpam-6685	350	3	study	study	NOUN
ejpam-6685	350	4	,	,	PUNCT
ejpam-6685	350	5	we	we	PRON
ejpam-6685	350	6	performed	perform	VERB
ejpam-6685	350	7	a	a	DET
ejpam-6685	350	8	series	series	NOUN
ejpam-6685	350	9	of	of	ADP
ejpam-6685	350	10	computational	computational	ADJ
ejpam-6685	350	11	experiments	experiment	NOUN
ejpam-6685	350	12	to	to	PART
ejpam-6685	350	13	explore	explore	VERB
ejpam-6685	350	14	how	how	SCONJ
ejpam-6685	350	15	variations	variation	NOUN
ejpam-6685	350	16	in	in	ADP
ejpam-6685	350	17	key	key	ADJ
ejpam-6685	350	18	biological	biological	ADJ
ejpam-6685	350	19	and	and	CCONJ
ejpam-6685	350	20	epidemiological	epidemiological	ADJ
ejpam-6685	350	21	parameters	parameter	NOUN
ejpam-6685	350	22	influence	influence	VERB
ejpam-6685	350	23	the	the	DET
ejpam-6685	350	24	spread	spread	NOUN
ejpam-6685	350	25	of	of	ADP
ejpam-6685	350	26	infection	infection	NOUN
ejpam-6685	350	27	within	within	ADP
ejpam-6685	350	28	a	a	DET
ejpam-6685	350	29	host	host	NOUN
ejpam-6685	350	30	-	-	PUNCT
ejpam-6685	350	31	vector	vector	NOUN
ejpam-6685	350	32	population	population	NOUN
ejpam-6685	350	33	.	.	PUNCT
ejpam-6685	351	1	initial	initial	ADJ
ejpam-6685	351	2	conditions	condition	NOUN
ejpam-6685	351	3	for	for	ADP
ejpam-6685	351	4	the	the	DET
ejpam-6685	351	5	system	system	NOUN
ejpam-6685	351	6	’s	’s	PART
ejpam-6685	351	7	compartments	compartment	NOUN
ejpam-6685	351	8	-	-	PUNCT
ejpam-6685	351	9	representing	represent	VERB
ejpam-6685	351	10	different	different	ADJ
ejpam-6685	351	11	population	population	NOUN
ejpam-6685	351	12	stateswere	stateswere	NOUN
ejpam-6685	351	13	carefully	carefully	ADV
ejpam-6685	351	14	selected	select	VERB
ejpam-6685	351	15	,	,	PUNCT
ejpam-6685	351	16	and	and	CCONJ
ejpam-6685	351	17	biologically	biologically	ADV
ejpam-6685	351	18	plausible	plausible	ADJ
ejpam-6685	351	19	parameter	parameter	NOUN
ejpam-6685	351	20	values	value	NOUN
ejpam-6685	351	21	were	be	AUX
ejpam-6685	351	22	used	use	VERB
ejpam-6685	351	23	to	to	PART
ejpam-6685	351	24	simulate	simulate	VERB
ejpam-6685	351	25	realistic	realistic	ADJ
ejpam-6685	351	26	transmission	transmission	NOUN
ejpam-6685	351	27	dynamics	dynamic	NOUN
ejpam-6685	351	28	.	.	PUNCT
ejpam-6685	352	1	this	this	DET
ejpam-6685	352	2	strategy	strategy	NOUN
ejpam-6685	352	3	enabled	enable	VERB
ejpam-6685	352	4	a	a	DET
ejpam-6685	352	5	thorough	thorough	ADJ
ejpam-6685	352	6	sensitivity	sensitivity	NOUN
ejpam-6685	352	7	analysis	analysis	NOUN
ejpam-6685	352	8	,	,	PUNCT
ejpam-6685	352	9	shedding	shed	VERB
ejpam-6685	352	10	light	light	NOUN
ejpam-6685	352	11	on	on	ADP
ejpam-6685	352	12	the	the	DET
ejpam-6685	352	13	roles	role	NOUN
ejpam-6685	352	14	of	of	ADP
ejpam-6685	352	15	these	these	DET
ejpam-6685	352	16	parameters	parameter	NOUN
ejpam-6685	352	17	in	in	ADP
ejpam-6685	352	18	shaping	shape	VERB
ejpam-6685	352	19	the	the	DET
ejpam-6685	352	20	temporal	temporal	ADJ
ejpam-6685	352	21	patterns	pattern	NOUN
ejpam-6685	352	22	of	of	ADP
ejpam-6685	352	23	the	the	DET
ejpam-6685	352	24	epidemic	epidemic	NOUN
ejpam-6685	352	25	.	.	PUNCT
ejpam-6685	353	1	in	in	ADP
ejpam-6685	353	2	the	the	DET
ejpam-6685	353	3	first	first	ADJ
ejpam-6685	353	4	simulation	simulation	NOUN
ejpam-6685	353	5	,	,	PUNCT
ejpam-6685	353	6	we	we	PRON
ejpam-6685	353	7	investigated	investigate	VERB
ejpam-6685	353	8	how	how	SCONJ
ejpam-6685	353	9	modifications	modification	NOUN
ejpam-6685	353	10	in	in	ADP
ejpam-6685	353	11	the	the	DET
ejpam-6685	353	12	fractional	fractional	ADJ
ejpam-6685	353	13	and	and	CCONJ
ejpam-6685	353	14	fractal	fractal	ADJ
ejpam-6685	353	15	derivative	derivative	ADJ
ejpam-6685	353	16	orders	order	NOUN
ejpam-6685	353	17	-	-	PUNCT
ejpam-6685	353	18	which	which	PRON
ejpam-6685	353	19	capture	capture	NOUN
ejpam-6685	353	20	memory	memory	NOUN
ejpam-6685	353	21	and	and	CCONJ
ejpam-6685	353	22	heterogeneity	heterogeneity	NOUN
ejpam-6685	353	23	effects	effect	NOUN
ejpam-6685	353	24	in	in	ADP
ejpam-6685	353	25	the	the	DET
ejpam-6685	353	26	system	system	NOUN
ejpam-6685	353	27	-	-	PUNCT
ejpam-6685	353	28	affect	affect	VERB
ejpam-6685	353	29	the	the	DET
ejpam-6685	353	30	number	number	NOUN
ejpam-6685	353	31	of	of	ADP
ejpam-6685	353	32	infected	infected	ADJ
ejpam-6685	353	33	individuals	individual	NOUN
ejpam-6685	353	34	over	over	ADP
ejpam-6685	353	35	time	time	NOUN
ejpam-6685	353	36	,	,	PUNCT
ejpam-6685	353	37	while	while	SCONJ
ejpam-6685	353	38	maintaining	maintain	VERB
ejpam-6685	353	39	all	all	DET
ejpam-6685	353	40	other	other	ADJ
ejpam-6685	353	41	parameters	parameter	NOUN
ejpam-6685	353	42	constant	constant	ADJ
ejpam-6685	353	43	illustrated	illustrate	VERB
ejpam-6685	353	44	in	in	ADP
ejpam-6685	353	45	figure	figure	NOUN
ejpam-6685	353	46	1	1	NUM
ejpam-6685	353	47	.	.	PUNCT
ejpam-6685	354	1	the	the	DET
ejpam-6685	354	2	red	red	ADJ
ejpam-6685	354	3	curve	curve	NOUN
ejpam-6685	354	4	represents	represent	VERB
ejpam-6685	354	5	the	the	DET
ejpam-6685	354	6	scenario	scenario	NOUN
ejpam-6685	354	7	where	where	SCONJ
ejpam-6685	354	8	the	the	DET
ejpam-6685	354	9	fractional	fractional	ADJ
ejpam-6685	354	10	derivative	derivative	ADJ
ejpam-6685	354	11	order	order	NOUN
ejpam-6685	354	12	is	be	AUX
ejpam-6685	354	13	0.9	0.9	NUM
ejpam-6685	354	14	and	and	CCONJ
ejpam-6685	354	15	the	the	DET
ejpam-6685	354	16	fractal	fractal	ADJ
ejpam-6685	354	17	order	order	NOUN
ejpam-6685	354	18	is	be	AUX
ejpam-6685	354	19	0.8	0.8	NUM
ejpam-6685	354	20	;	;	PUNCT
ejpam-6685	354	21	the	the	DET
ejpam-6685	354	22	blue	blue	ADJ
ejpam-6685	354	23	curve	curve	NOUN
ejpam-6685	354	24	corresponds	correspond	VERB
ejpam-6685	354	25	to	to	ADP
ejpam-6685	354	26	values	value	NOUN
ejpam-6685	354	27	of	of	ADP
ejpam-6685	354	28	0.8	0.8	NUM
ejpam-6685	354	29	and	and	CCONJ
ejpam-6685	354	30	0.7	0.7	NUM
ejpam-6685	354	31	,	,	PUNCT
ejpam-6685	354	32	respectively	respectively	ADV
ejpam-6685	354	33	;	;	PUNCT
ejpam-6685	354	34	and	and	CCONJ
ejpam-6685	354	35	the	the	DET
ejpam-6685	354	36	black	black	ADJ
ejpam-6685	354	37	curve	curve	NOUN
ejpam-6685	354	38	depicts	depict	VERB
ejpam-6685	354	39	the	the	DET
ejpam-6685	354	40	case	case	NOUN
ejpam-6685	354	41	with	with	ADP
ejpam-6685	354	42	a	a	DET
ejpam-6685	354	43	fractional	fractional	ADJ
ejpam-6685	354	44	order	order	NOUN
ejpam-6685	354	45	of	of	ADP
ejpam-6685	354	46	0.7	0.7	NUM
ejpam-6685	354	47	and	and	CCONJ
ejpam-6685	354	48	fractal	fractal	ADJ
ejpam-6685	354	49	order	order	NOUN
ejpam-6685	354	50	of	of	ADP
ejpam-6685	354	51	0.6	0.6	NUM
ejpam-6685	354	52	.	.	PUNCT
ejpam-6685	355	1	the	the	DET
ejpam-6685	355	2	results	result	NOUN
ejpam-6685	355	3	demonstrate	demonstrate	VERB
ejpam-6685	355	4	that	that	SCONJ
ejpam-6685	355	5	lower	low	ADJ
ejpam-6685	355	6	values	value	NOUN
ejpam-6685	355	7	of	of	ADP
ejpam-6685	355	8	these	these	DET
ejpam-6685	355	9	orders	order	NOUN
ejpam-6685	355	10	are	be	AUX
ejpam-6685	355	11	associated	associate	VERB
ejpam-6685	355	12	with	with	ADP
ejpam-6685	355	13	a	a	DET
ejpam-6685	355	14	slower	slow	ADJ
ejpam-6685	355	15	and	and	CCONJ
ejpam-6685	355	16	more	more	ADV
ejpam-6685	355	17	attenuated	attenuate	VERB
ejpam-6685	355	18	progression	progression	NOUN
ejpam-6685	355	19	of	of	ADP
ejpam-6685	355	20	the	the	DET
ejpam-6685	355	21	infection	infection	NOUN
ejpam-6685	355	22	,	,	PUNCT
ejpam-6685	355	23	suggesting	suggest	VERB
ejpam-6685	355	24	that	that	PRON
ejpam-6685	355	25	memory	memory	NOUN
ejpam-6685	355	26	effects	effect	NOUN
ejpam-6685	355	27	and	and	CCONJ
ejpam-6685	355	28	spatial	spatial	ADJ
ejpam-6685	355	29	irregularities	irregularity	NOUN
ejpam-6685	355	30	can	can	AUX
ejpam-6685	355	31	significantly	significantly	ADV
ejpam-6685	355	32	modulate	modulate	VERB
ejpam-6685	355	33	the	the	DET
ejpam-6685	355	34	epidemic	epidemic	NOUN
ejpam-6685	355	35	trajectory	trajectory	NOUN
ejpam-6685	355	36	.	.	PUNCT
ejpam-6685	356	1	figure	figure	NOUN
ejpam-6685	356	2	2	2	NUM
ejpam-6685	356	3	illustrates	illustrate	VERB
ejpam-6685	356	4	the	the	DET
ejpam-6685	356	5	impact	impact	NOUN
ejpam-6685	356	6	of	of	ADP
ejpam-6685	356	7	the	the	DET
ejpam-6685	356	8	mosquito	mosquito	ADJ
ejpam-6685	356	9	biting	bite	VERB
ejpam-6685	356	10	rate	rate	NOUN
ejpam-6685	356	11	b	b	PROPN
ejpam-6685	356	12	on	on	ADP
ejpam-6685	356	13	the	the	DET
ejpam-6685	356	14	infection	infection	NOUN
ejpam-6685	356	15	dynamics	dynamic	NOUN
ejpam-6685	356	16	,	,	PUNCT
ejpam-6685	356	17	with	with	ADP
ejpam-6685	356	18	all	all	DET
ejpam-6685	356	19	other	other	ADJ
ejpam-6685	356	20	parameters	parameter	NOUN
ejpam-6685	356	21	held	hold	VERB
ejpam-6685	356	22	fixed	fix	VERB
ejpam-6685	356	23	.	.	PUNCT
ejpam-6685	357	1	the	the	DET
ejpam-6685	357	2	red	red	ADJ
ejpam-6685	357	3	,	,	PUNCT
ejpam-6685	357	4	blue	blue	ADJ
ejpam-6685	357	5	,	,	PUNCT
ejpam-6685	357	6	and	and	CCONJ
ejpam-6685	357	7	black	black	ADJ
ejpam-6685	357	8	curves	curve	NOUN
ejpam-6685	357	9	correspond	correspond	VERB
ejpam-6685	357	10	to	to	ADP
ejpam-6685	357	11	biting	bite	VERB
ejpam-6685	357	12	rates	rate	NOUN
ejpam-6685	357	13	of	of	ADP
ejpam-6685	357	14	0.45	0.45	NUM
ejpam-6685	357	15	,	,	PUNCT
ejpam-6685	357	16	0.55	0.55	NUM
ejpam-6685	357	17	,	,	PUNCT
ejpam-6685	357	18	and	and	CCONJ
ejpam-6685	357	19	0.65	0.65	NUM
ejpam-6685	357	20	,	,	PUNCT
ejpam-6685	357	21	respectively	respectively	ADV
ejpam-6685	357	22	.	.	PUNCT
ejpam-6685	358	1	the	the	DET
ejpam-6685	358	2	simulation	simulation	NOUN
ejpam-6685	358	3	outcomes	outcome	NOUN
ejpam-6685	358	4	clearly	clearly	ADV
ejpam-6685	358	5	indicate	indicate	VERB
ejpam-6685	358	6	that	that	SCONJ
ejpam-6685	358	7	an	an	DET
ejpam-6685	358	8	increase	increase	NOUN
ejpam-6685	358	9	in	in	ADP
ejpam-6685	358	10	the	the	DET
ejpam-6685	358	11	biting	bite	VERB
ejpam-6685	358	12	rate	rate	NOUN
ejpam-6685	358	13	leads	lead	VERB
ejpam-6685	358	14	to	to	ADP
ejpam-6685	358	15	a	a	DET
ejpam-6685	358	16	higher	high	ADJ
ejpam-6685	358	17	peak	peak	NOUN
ejpam-6685	358	18	and	and	CCONJ
ejpam-6685	358	19	faster	fast	ADJ
ejpam-6685	358	20	rise	rise	NOUN
ejpam-6685	358	21	in	in	ADP
ejpam-6685	358	22	the	the	DET
ejpam-6685	358	23	number	number	NOUN
ejpam-6685	358	24	of	of	ADP
ejpam-6685	358	25	infected	infected	ADJ
ejpam-6685	358	26	individuals	individual	NOUN
ejpam-6685	358	27	,	,	PUNCT
ejpam-6685	358	28	underscoring	underscore	VERB
ejpam-6685	358	29	the	the	DET
ejpam-6685	358	30	pivotal	pivotal	ADJ
ejpam-6685	358	31	role	role	NOUN
ejpam-6685	358	32	of	of	ADP
ejpam-6685	358	33	vector	vector	NOUN
ejpam-6685	358	34	-	-	PUNCT
ejpam-6685	358	35	host	host	NOUN
ejpam-6685	358	36	interactions	interaction	NOUN
ejpam-6685	358	37	in	in	ADP
ejpam-6685	358	38	facilitating	facilitate	VERB
ejpam-6685	358	39	disease	disease	NOUN
ejpam-6685	358	40	transmission	transmission	NOUN
ejpam-6685	358	41	.	.	PUNCT
ejpam-6685	359	1	these	these	DET
ejpam-6685	359	2	findings	finding	NOUN
ejpam-6685	359	3	highlight	highlight	VERB
ejpam-6685	359	4	the	the	DET
ejpam-6685	359	5	biting	bite	VERB
ejpam-6685	359	6	rate	rate	NOUN
ejpam-6685	359	7	as	as	ADP
ejpam-6685	359	8	a	a	DET
ejpam-6685	359	9	key	key	ADJ
ejpam-6685	359	10	target	target	NOUN
ejpam-6685	359	11	for	for	ADP
ejpam-6685	359	12	intervention	intervention	NOUN
ejpam-6685	359	13	strategies	strategy	NOUN
ejpam-6685	359	14	aimed	aim	VERB
ejpam-6685	359	15	at	at	ADP
ejpam-6685	359	16	controlling	control	VERB
ejpam-6685	359	17	vector	vector	NOUN
ejpam-6685	359	18	-	-	PUNCT
ejpam-6685	359	19	borne	bear	VERB
ejpam-6685	359	20	infections	infection	NOUN
ejpam-6685	359	21	.	.	PUNCT
ejpam-6685	360	1	figures	figure	NOUN
ejpam-6685	360	2	3	3	NUM
ejpam-6685	360	3	and	and	CCONJ
ejpam-6685	360	4	4	4	NUM
ejpam-6685	360	5	illustrate	illustrate	VERB
ejpam-6685	360	6	how	how	SCONJ
ejpam-6685	360	7	variations	variation	NOUN
ejpam-6685	360	8	in	in	ADP
ejpam-6685	360	9	the	the	DET
ejpam-6685	360	10	transmission	transmission	NOUN
ejpam-6685	360	11	rates	rate	NOUN
ejpam-6685	360	12	β1	β1	PROPN
ejpam-6685	360	13	and	and	CCONJ
ejpam-6685	360	14	β3	β3	VERB
ejpam-6685	360	15	influence	influence	NOUN
ejpam-6685	360	16	the	the	DET
ejpam-6685	360	17	dynamics	dynamic	NOUN
ejpam-6685	360	18	of	of	ADP
ejpam-6685	360	19	the	the	DET
ejpam-6685	360	20	infected	infected	ADJ
ejpam-6685	360	21	population	population	NOUN
ejpam-6685	360	22	.	.	PUNCT
ejpam-6685	361	1	these	these	DET
ejpam-6685	361	2	findings	finding	NOUN
ejpam-6685	361	3	highlight	highlight	VERB
ejpam-6685	361	4	the	the	DET
ejpam-6685	361	5	critical	critical	ADJ
ejpam-6685	361	6	role	role	NOUN
ejpam-6685	361	7	of	of	ADP
ejpam-6685	361	8	transmission	transmission	NOUN
ejpam-6685	361	9	efficiency	efficiency	NOUN
ejpam-6685	361	10	in	in	ADP
ejpam-6685	361	11	shaping	shape	VERB
ejpam-6685	361	12	disease	disease	NOUN
ejpam-6685	361	13	spread	spread	VERB
ejpam-6685	361	14	,	,	PUNCT
ejpam-6685	361	15	where	where	SCONJ
ejpam-6685	361	16	elevated	elevated	ADJ
ejpam-6685	361	17	values	value	NOUN
ejpam-6685	361	18	of	of	ADP
ejpam-6685	361	19	β1	β1	PROPN
ejpam-6685	361	20	and	and	CCONJ
ejpam-6685	361	21	β3	β3	VERB
ejpam-6685	361	22	m.	m.	NOUN
ejpam-6685	361	23	alsulami	alsulami	NOUN
ejpam-6685	361	24	,	,	PUNCT
ejpam-6685	361	25	r.	r.	PROPN
ejpam-6685	361	26	jan	jan	PROPN
ejpam-6685	361	27	,	,	PUNCT
ejpam-6685	361	28	e.	e.	PROPN
ejpam-6685	361	29	antonescu	antonescu	PROPN
ejpam-6685	361	30	/	/	SYM
ejpam-6685	361	31	eur	eur	PROPN
ejpam-6685	361	32	.	.	PUNCT
ejpam-6685	362	1	j.	j.	PROPN
ejpam-6685	362	2	pure	pure	PROPN
ejpam-6685	362	3	appl	appl	PROPN
ejpam-6685	362	4	.	.	PROPN
ejpam-6685	362	5	math	math	PROPN
ejpam-6685	362	6	,	,	PUNCT
ejpam-6685	362	7	18	18	NUM
ejpam-6685	362	8	(	(	PUNCT
ejpam-6685	362	9	3	3	NUM
ejpam-6685	362	10	)	)	PUNCT
ejpam-6685	362	11	(	(	PUNCT
ejpam-6685	362	12	2025	2025	NUM
ejpam-6685	362	13	)	)	PUNCT
ejpam-6685	362	14	,	,	PUNCT
ejpam-6685	362	15	6685	6685	NUM
ejpam-6685	362	16	16	16	NUM
ejpam-6685	362	17	of	of	ADP
ejpam-6685	362	18	19	19	NUM
ejpam-6685	362	19	correspond	correspond	NOUN
ejpam-6685	362	20	to	to	ADP
ejpam-6685	362	21	higher	high	ADJ
ejpam-6685	362	22	infection	infection	NOUN
ejpam-6685	362	23	burdens	burden	NOUN
ejpam-6685	362	24	within	within	ADP
ejpam-6685	362	25	the	the	DET
ejpam-6685	362	26	host	host	NOUN
ejpam-6685	362	27	population	population	NOUN
ejpam-6685	362	28	.	.	PUNCT
ejpam-6685	363	1	this	this	PRON
ejpam-6685	363	2	suggests	suggest	VERB
ejpam-6685	363	3	that	that	SCONJ
ejpam-6685	363	4	increased	increase	VERB
ejpam-6685	363	5	contact	contact	NOUN
ejpam-6685	363	6	or	or	CCONJ
ejpam-6685	363	7	transmission	transmission	NOUN
ejpam-6685	363	8	potential	potential	NOUN
ejpam-6685	363	9	significantly	significantly	ADV
ejpam-6685	363	10	exacerbates	exacerbate	VERB
ejpam-6685	363	11	the	the	DET
ejpam-6685	363	12	outbreak	outbreak	NOUN
ejpam-6685	363	13	severity	severity	NOUN
ejpam-6685	363	14	.	.	PUNCT
ejpam-6685	364	1	furthermore	furthermore	ADV
ejpam-6685	364	2	,	,	PUNCT
ejpam-6685	364	3	figure	figure	VERB
ejpam-6685	364	4	5	5	NUM
ejpam-6685	364	5	explores	explore	NOUN
ejpam-6685	364	6	the	the	DET
ejpam-6685	364	7	biological	biological	ADJ
ejpam-6685	364	8	impact	impact	NOUN
ejpam-6685	364	9	of	of	ADP
ejpam-6685	364	10	the	the	DET
ejpam-6685	364	11	treatment	treatment	NOUN
ejpam-6685	364	12	rate	rate	NOUN
ejpam-6685	364	13	τ	τ	PROPN
ejpam-6685	364	14	on	on	ADP
ejpam-6685	364	15	infection	infection	NOUN
ejpam-6685	364	16	progression	progression	NOUN
ejpam-6685	364	17	.	.	PUNCT
ejpam-6685	365	1	the	the	DET
ejpam-6685	365	2	red	red	ADJ
ejpam-6685	365	3	,	,	PUNCT
ejpam-6685	365	4	blue	blue	ADJ
ejpam-6685	365	5	,	,	PUNCT
ejpam-6685	365	6	and	and	CCONJ
ejpam-6685	365	7	black	black	ADJ
ejpam-6685	365	8	trajectories	trajectory	NOUN
ejpam-6685	365	9	represent	represent	VERB
ejpam-6685	365	10	treatment	treatment	NOUN
ejpam-6685	365	11	rates	rate	NOUN
ejpam-6685	365	12	of	of	ADP
ejpam-6685	365	13	0.24	0.24	NUM
ejpam-6685	365	14	,	,	PUNCT
ejpam-6685	365	15	0.34	0.34	NUM
ejpam-6685	365	16	,	,	PUNCT
ejpam-6685	365	17	and	and	CCONJ
ejpam-6685	365	18	0.44	0.44	NUM
ejpam-6685	365	19	,	,	PUNCT
ejpam-6685	365	20	respectively	respectively	ADV
ejpam-6685	365	21	.	.	PUNCT
ejpam-6685	366	1	as	as	SCONJ
ejpam-6685	366	2	the	the	DET
ejpam-6685	366	3	treatment	treatment	NOUN
ejpam-6685	366	4	rate	rate	NOUN
ejpam-6685	366	5	increases	increase	NOUN
ejpam-6685	366	6	,	,	PUNCT
ejpam-6685	366	7	a	a	DET
ejpam-6685	366	8	marked	mark	VERB
ejpam-6685	366	9	decline	decline	NOUN
ejpam-6685	366	10	in	in	ADP
ejpam-6685	366	11	the	the	DET
ejpam-6685	366	12	number	number	NOUN
ejpam-6685	366	13	of	of	ADP
ejpam-6685	366	14	infected	infected	ADJ
ejpam-6685	366	15	individuals	individual	NOUN
ejpam-6685	366	16	is	be	AUX
ejpam-6685	366	17	observed	observe	VERB
ejpam-6685	366	18	,	,	PUNCT
ejpam-6685	366	19	indicating	indicate	VERB
ejpam-6685	366	20	that	that	SCONJ
ejpam-6685	366	21	enhanced	enhanced	ADJ
ejpam-6685	366	22	treatment	treatment	NOUN
ejpam-6685	366	23	intervention	intervention	NOUN
ejpam-6685	366	24	can	can	AUX
ejpam-6685	366	25	substantially	substantially	ADV
ejpam-6685	366	26	suppress	suppress	VERB
ejpam-6685	366	27	disease	disease	NOUN
ejpam-6685	366	28	prevalence	prevalence	NOUN
ejpam-6685	366	29	and	and	CCONJ
ejpam-6685	366	30	support	support	VERB
ejpam-6685	366	31	effective	effective	ADJ
ejpam-6685	366	32	dengue	dengue	NOUN
ejpam-6685	366	33	control	control	NOUN
ejpam-6685	366	34	strategies	strategy	NOUN
ejpam-6685	366	35	within	within	ADP
ejpam-6685	366	36	the	the	DET
ejpam-6685	366	37	community	community	NOUN
ejpam-6685	366	38	.	.	PUNCT
ejpam-6685	367	1	the	the	DET
ejpam-6685	367	2	proposed	propose	VERB
ejpam-6685	367	3	model	model	NOUN
ejpam-6685	367	4	and	and	CCONJ
ejpam-6685	367	5	its	its	PRON
ejpam-6685	367	6	associated	associated	ADJ
ejpam-6685	367	7	simulations	simulation	NOUN
ejpam-6685	367	8	offer	offer	VERB
ejpam-6685	367	9	several	several	ADJ
ejpam-6685	367	10	significant	significant	ADJ
ejpam-6685	367	11	advantages	advantage	NOUN
ejpam-6685	367	12	.	.	PUNCT
ejpam-6685	368	1	firstly	firstly	ADV
ejpam-6685	368	2	,	,	PUNCT
ejpam-6685	368	3	the	the	DET
ejpam-6685	368	4	incorporation	incorporation	NOUN
ejpam-6685	368	5	of	of	ADP
ejpam-6685	368	6	both	both	CCONJ
ejpam-6685	368	7	fractional	fractional	ADJ
ejpam-6685	368	8	and	and	CCONJ
ejpam-6685	368	9	fractal	fractal	ADJ
ejpam-6685	368	10	derivatives	derivative	NOUN
ejpam-6685	368	11	allows	allow	VERB
ejpam-6685	368	12	for	for	ADP
ejpam-6685	368	13	the	the	DET
ejpam-6685	368	14	accurate	accurate	ADJ
ejpam-6685	368	15	characterization	characterization	NOUN
ejpam-6685	368	16	of	of	ADP
ejpam-6685	368	17	memory	memory	NOUN
ejpam-6685	368	18	and	and	CCONJ
ejpam-6685	368	19	spatial	spatial	ADJ
ejpam-6685	368	20	heterogeneity	heterogeneity	NOUN
ejpam-6685	368	21	effects	effect	NOUN
ejpam-6685	368	22	,	,	PUNCT
ejpam-6685	368	23	which	which	PRON
ejpam-6685	368	24	are	be	AUX
ejpam-6685	368	25	intrinsic	intrinsic	ADJ
ejpam-6685	368	26	to	to	ADP
ejpam-6685	368	27	the	the	DET
ejpam-6685	368	28	dynamics	dynamic	NOUN
ejpam-6685	368	29	of	of	ADP
ejpam-6685	368	30	vector	vector	NOUN
ejpam-6685	368	31	-	-	PUNCT
ejpam-6685	368	32	borne	bear	VERB
ejpam-6685	368	33	diseases	disease	NOUN
ejpam-6685	368	34	.	.	PUNCT
ejpam-6685	369	1	this	this	DET
ejpam-6685	369	2	enhanced	enhance	VERB
ejpam-6685	369	3	modeling	modeling	NOUN
ejpam-6685	369	4	framework	framework	NOUN
ejpam-6685	369	5	captures	capture	VERB
ejpam-6685	369	6	longrange	longrange	ADJ
ejpam-6685	369	7	temporal	temporal	ADJ
ejpam-6685	369	8	dependence	dependence	NOUN
ejpam-6685	369	9	and	and	CCONJ
ejpam-6685	369	10	spatial	spatial	ADJ
ejpam-6685	369	11	complexity	complexity	NOUN
ejpam-6685	369	12	more	more	ADV
ejpam-6685	369	13	realistically	realistically	ADV
ejpam-6685	369	14	than	than	ADP
ejpam-6685	369	15	classical	classical	ADJ
ejpam-6685	369	16	integerorder	integerorder	NOUN
ejpam-6685	369	17	models	model	NOUN
ejpam-6685	369	18	.	.	PUNCT
ejpam-6685	370	1	secondly	secondly	ADV
ejpam-6685	370	2	,	,	PUNCT
ejpam-6685	370	3	the	the	DET
ejpam-6685	370	4	ability	ability	NOUN
ejpam-6685	370	5	to	to	PART
ejpam-6685	370	6	vary	vary	VERB
ejpam-6685	370	7	key	key	ADJ
ejpam-6685	370	8	epidemiological	epidemiological	ADJ
ejpam-6685	370	9	parameters	parameter	NOUN
ejpam-6685	370	10	such	such	ADJ
ejpam-6685	370	11	as	as	ADP
ejpam-6685	370	12	the	the	DET
ejpam-6685	370	13	biting	bite	VERB
ejpam-6685	370	14	rate	rate	NOUN
ejpam-6685	370	15	,	,	PUNCT
ejpam-6685	370	16	transmission	transmission	NOUN
ejpam-6685	370	17	coefficients	coefficient	NOUN
ejpam-6685	370	18	,	,	PUNCT
ejpam-6685	370	19	and	and	CCONJ
ejpam-6685	370	20	treatment	treatment	NOUN
ejpam-6685	370	21	efficacy	efficacy	NOUN
ejpam-6685	370	22	facilitates	facilitate	VERB
ejpam-6685	370	23	a	a	DET
ejpam-6685	370	24	comprehensive	comprehensive	ADJ
ejpam-6685	370	25	sensitivity	sensitivity	NOUN
ejpam-6685	370	26	analysis	analysis	NOUN
ejpam-6685	370	27	and	and	CCONJ
ejpam-6685	370	28	helps	helps	AUX
ejpam-6685	370	29	identify	identify	VERB
ejpam-6685	370	30	the	the	DET
ejpam-6685	370	31	critical	critical	ADJ
ejpam-6685	370	32	factors	factor	NOUN
ejpam-6685	370	33	that	that	PRON
ejpam-6685	370	34	drive	drive	VERB
ejpam-6685	370	35	disease	disease	NOUN
ejpam-6685	370	36	transmission	transmission	NOUN
ejpam-6685	370	37	.	.	PUNCT
ejpam-6685	371	1	thirdly	thirdly	ADV
ejpam-6685	371	2	,	,	PUNCT
ejpam-6685	371	3	the	the	DET
ejpam-6685	371	4	simulations	simulation	NOUN
ejpam-6685	371	5	provide	provide	VERB
ejpam-6685	371	6	valuable	valuable	ADJ
ejpam-6685	371	7	insights	insight	NOUN
ejpam-6685	371	8	into	into	ADP
ejpam-6685	371	9	the	the	DET
ejpam-6685	371	10	nonlinear	nonlinear	ADJ
ejpam-6685	371	11	behavior	behavior	NOUN
ejpam-6685	371	12	of	of	ADP
ejpam-6685	371	13	the	the	DET
ejpam-6685	371	14	system	system	NOUN
ejpam-6685	371	15	under	under	ADP
ejpam-6685	371	16	different	different	ADJ
ejpam-6685	371	17	parameter	parameter	NOUN
ejpam-6685	371	18	regimes	regime	NOUN
ejpam-6685	371	19	,	,	PUNCT
ejpam-6685	371	20	facilitating	facilitate	VERB
ejpam-6685	371	21	the	the	DET
ejpam-6685	371	22	assessment	assessment	NOUN
ejpam-6685	371	23	of	of	ADP
ejpam-6685	371	24	intervention	intervention	NOUN
ejpam-6685	371	25	strategies	strategy	NOUN
ejpam-6685	371	26	such	such	ADJ
ejpam-6685	371	27	as	as	ADP
ejpam-6685	371	28	increased	increase	VERB
ejpam-6685	371	29	treatment	treatment	NOUN
ejpam-6685	371	30	rates	rate	NOUN
ejpam-6685	371	31	or	or	CCONJ
ejpam-6685	371	32	vector	vector	NOUN
ejpam-6685	371	33	control	control	NOUN
ejpam-6685	371	34	measures	measure	NOUN
ejpam-6685	371	35	.	.	PUNCT
ejpam-6685	372	1	lastly	lastly	ADV
ejpam-6685	372	2	,	,	PUNCT
ejpam-6685	372	3	the	the	DET
ejpam-6685	372	4	model	model	NOUN
ejpam-6685	372	5	’s	’s	PART
ejpam-6685	372	6	general	general	ADJ
ejpam-6685	372	7	structure	structure	NOUN
ejpam-6685	372	8	allows	allow	VERB
ejpam-6685	372	9	it	it	PRON
ejpam-6685	372	10	to	to	PART
ejpam-6685	372	11	be	be	AUX
ejpam-6685	372	12	extended	extend	VERB
ejpam-6685	372	13	or	or	CCONJ
ejpam-6685	372	14	adapted	adapt	VERB
ejpam-6685	372	15	to	to	ADP
ejpam-6685	372	16	other	other	ADJ
ejpam-6685	372	17	infectious	infectious	ADJ
ejpam-6685	372	18	diseases	disease	NOUN
ejpam-6685	372	19	with	with	ADP
ejpam-6685	372	20	comparable	comparable	ADJ
ejpam-6685	372	21	transmission	transmission	NOUN
ejpam-6685	372	22	patterns	pattern	NOUN
ejpam-6685	372	23	,	,	PUNCT
ejpam-6685	372	24	making	make	VERB
ejpam-6685	372	25	it	it	PRON
ejpam-6685	372	26	a	a	DET
ejpam-6685	372	27	valuable	valuable	ADJ
ejpam-6685	372	28	and	and	CCONJ
ejpam-6685	372	29	versatile	versatile	ADJ
ejpam-6685	372	30	tool	tool	NOUN
ejpam-6685	372	31	for	for	ADP
ejpam-6685	372	32	informing	inform	VERB
ejpam-6685	372	33	public	public	ADJ
ejpam-6685	372	34	health	health	NOUN
ejpam-6685	372	35	policies	policy	NOUN
ejpam-6685	372	36	and	and	CCONJ
ejpam-6685	372	37	control	control	NOUN
ejpam-6685	372	38	strategies	strategy	NOUN
ejpam-6685	372	39	.	.	PUNCT
ejpam-6685	373	1	6	6	NUM
ejpam-6685	373	2	.	.	X
ejpam-6685	373	3	conclusions	conclusion	NOUN
ejpam-6685	373	4	in	in	ADP
ejpam-6685	373	5	this	this	DET
ejpam-6685	373	6	study	study	NOUN
ejpam-6685	373	7	,	,	PUNCT
ejpam-6685	373	8	we	we	PRON
ejpam-6685	373	9	developed	develop	VERB
ejpam-6685	373	10	a	a	DET
ejpam-6685	373	11	novel	novel	ADJ
ejpam-6685	373	12	fractal	fractal	ADJ
ejpam-6685	373	13	-	-	PUNCT
ejpam-6685	373	14	fractional	fractional	ADJ
ejpam-6685	373	15	mathematical	mathematical	ADJ
ejpam-6685	373	16	framework	framework	NOUN
ejpam-6685	373	17	based	base	VERB
ejpam-6685	373	18	on	on	ADP
ejpam-6685	373	19	the	the	DET
ejpam-6685	373	20	caputo	caputo	PROPN
ejpam-6685	373	21	operator	operator	NOUN
ejpam-6685	373	22	to	to	PART
ejpam-6685	373	23	describe	describe	VERB
ejpam-6685	373	24	the	the	DET
ejpam-6685	373	25	intricate	intricate	ADJ
ejpam-6685	373	26	biological	biological	ADJ
ejpam-6685	373	27	processes	process	NOUN
ejpam-6685	373	28	underlying	underlie	VERB
ejpam-6685	373	29	dengue	dengue	NOUN
ejpam-6685	373	30	fever	fever	NOUN
ejpam-6685	373	31	transmission	transmission	NOUN
ejpam-6685	373	32	.	.	PUNCT
ejpam-6685	374	1	the	the	DET
ejpam-6685	374	2	model	model	NOUN
ejpam-6685	374	3	integrates	integrate	VERB
ejpam-6685	374	4	key	key	ADJ
ejpam-6685	374	5	biological	biological	ADJ
ejpam-6685	374	6	features	feature	NOUN
ejpam-6685	374	7	such	such	ADJ
ejpam-6685	374	8	as	as	ADP
ejpam-6685	374	9	vaccination	vaccination	NOUN
ejpam-6685	374	10	,	,	PUNCT
ejpam-6685	374	11	treatment	treatment	NOUN
ejpam-6685	374	12	and	and	CCONJ
ejpam-6685	374	13	saturation	saturation	NOUN
ejpam-6685	374	14	effects	effect	NOUN
ejpam-6685	374	15	in	in	ADP
ejpam-6685	374	16	infection	infection	NOUN
ejpam-6685	374	17	rates	rate	NOUN
ejpam-6685	374	18	,	,	PUNCT
ejpam-6685	374	19	reflecting	reflect	VERB
ejpam-6685	374	20	the	the	DET
ejpam-6685	374	21	limited	limited	ADJ
ejpam-6685	374	22	capacity	capacity	NOUN
ejpam-6685	374	23	of	of	ADP
ejpam-6685	374	24	vectors	vector	NOUN
ejpam-6685	374	25	to	to	PART
ejpam-6685	374	26	transmit	transmit	VERB
ejpam-6685	374	27	the	the	DET
ejpam-6685	374	28	virus	virus	NOUN
ejpam-6685	374	29	under	under	ADP
ejpam-6685	374	30	high	high	ADJ
ejpam-6685	374	31	infectious	infectious	ADJ
ejpam-6685	374	32	pressure	pressure	NOUN
ejpam-6685	374	33	.	.	PUNCT
ejpam-6685	375	1	the	the	DET
ejpam-6685	375	2	biological	biological	ADJ
ejpam-6685	375	3	soundness	soundness	NOUN
ejpam-6685	375	4	of	of	ADP
ejpam-6685	375	5	the	the	DET
ejpam-6685	375	6	model	model	NOUN
ejpam-6685	375	7	was	be	AUX
ejpam-6685	375	8	ensured	ensure	VERB
ejpam-6685	375	9	by	by	ADP
ejpam-6685	375	10	demonstrating	demonstrate	VERB
ejpam-6685	375	11	that	that	SCONJ
ejpam-6685	375	12	population	population	NOUN
ejpam-6685	375	13	compartments	compartment	NOUN
ejpam-6685	375	14	remain	remain	VERB
ejpam-6685	375	15	positive	positive	ADJ
ejpam-6685	375	16	and	and	CCONJ
ejpam-6685	375	17	bounded	bound	VERB
ejpam-6685	375	18	over	over	ADP
ejpam-6685	375	19	time	time	NOUN
ejpam-6685	375	20	,	,	PUNCT
ejpam-6685	375	21	preserving	preserve	VERB
ejpam-6685	375	22	epidemiological	epidemiological	ADJ
ejpam-6685	375	23	realism	realism	NOUN
ejpam-6685	375	24	.	.	PUNCT
ejpam-6685	376	1	the	the	DET
ejpam-6685	376	2	calculation	calculation	NOUN
ejpam-6685	376	3	of	of	ADP
ejpam-6685	376	4	the	the	DET
ejpam-6685	376	5	basic	basic	ADJ
ejpam-6685	376	6	reproduction	reproduction	NOUN
ejpam-6685	376	7	number	number	NOUN
ejpam-6685	376	8	r0	r0	NOUN
ejpam-6685	376	9	provided	provide	VERB
ejpam-6685	376	10	a	a	DET
ejpam-6685	376	11	biologically	biologically	ADV
ejpam-6685	376	12	meaningful	meaningful	ADJ
ejpam-6685	376	13	threshold	threshold	NOUN
ejpam-6685	376	14	indicator	indicator	NOUN
ejpam-6685	376	15	,	,	PUNCT
ejpam-6685	376	16	distinguishing	distinguish	VERB
ejpam-6685	376	17	between	between	ADP
ejpam-6685	376	18	disease	disease	NOUN
ejpam-6685	376	19	extinction	extinction	NOUN
ejpam-6685	376	20	and	and	CCONJ
ejpam-6685	376	21	persistence	persistence	NOUN
ejpam-6685	376	22	.	.	PUNCT
ejpam-6685	377	1	through	through	ADP
ejpam-6685	377	2	biologically	biologically	ADV
ejpam-6685	377	3	informed	inform	VERB
ejpam-6685	377	4	numerical	numerical	ADJ
ejpam-6685	377	5	simulations	simulation	NOUN
ejpam-6685	377	6	,	,	PUNCT
ejpam-6685	377	7	we	we	PRON
ejpam-6685	377	8	explored	explore	VERB
ejpam-6685	377	9	how	how	SCONJ
ejpam-6685	377	10	variations	variation	NOUN
ejpam-6685	377	11	in	in	ADP
ejpam-6685	377	12	vaccination	vaccination	NOUN
ejpam-6685	377	13	,	,	PUNCT
ejpam-6685	377	14	transmission	transmission	NOUN
ejpam-6685	377	15	intensity	intensity	NOUN
ejpam-6685	377	16	,	,	PUNCT
ejpam-6685	377	17	treatment	treatment	NOUN
ejpam-6685	377	18	rate	rate	NOUN
ejpam-6685	377	19	and	and	CCONJ
ejpam-6685	377	20	vector	vector	NOUN
ejpam-6685	377	21	infectivity	infectivity	NOUN
ejpam-6685	377	22	influence	influence	NOUN
ejpam-6685	377	23	the	the	DET
ejpam-6685	377	24	spread	spread	NOUN
ejpam-6685	377	25	of	of	ADP
ejpam-6685	377	26	dengue	dengue	NOUN
ejpam-6685	377	27	.	.	PUNCT
ejpam-6685	378	1	the	the	DET
ejpam-6685	378	2	simulations	simulation	NOUN
ejpam-6685	378	3	highlighted	highlight	VERB
ejpam-6685	378	4	the	the	DET
ejpam-6685	378	5	importance	importance	NOUN
ejpam-6685	378	6	of	of	ADP
ejpam-6685	378	7	timely	timely	ADJ
ejpam-6685	378	8	immunization	immunization	NOUN
ejpam-6685	378	9	and	and	CCONJ
ejpam-6685	378	10	targeted	target	VERB
ejpam-6685	378	11	vector	vector	NOUN
ejpam-6685	378	12	control	control	NOUN
ejpam-6685	378	13	in	in	ADP
ejpam-6685	378	14	curbing	curb	VERB
ejpam-6685	378	15	infection	infection	NOUN
ejpam-6685	378	16	prevalence	prevalence	NOUN
ejpam-6685	378	17	.	.	PUNCT
ejpam-6685	379	1	our	our	PRON
ejpam-6685	379	2	results	result	NOUN
ejpam-6685	379	3	underscore	underscore	VERB
ejpam-6685	379	4	the	the	DET
ejpam-6685	379	5	potential	potential	NOUN
ejpam-6685	379	6	of	of	ADP
ejpam-6685	379	7	fractional	fractional	ADJ
ejpam-6685	379	8	-	-	PUNCT
ejpam-6685	379	9	order	order	NOUN
ejpam-6685	379	10	models	model	NOUN
ejpam-6685	379	11	to	to	PART
ejpam-6685	379	12	capture	capture	VERB
ejpam-6685	379	13	memory	memory	NOUN
ejpam-6685	379	14	effects	effect	NOUN
ejpam-6685	379	15	and	and	CCONJ
ejpam-6685	379	16	biological	biological	ADJ
ejpam-6685	379	17	heterogeneity	heterogeneity	NOUN
ejpam-6685	379	18	in	in	ADP
ejpam-6685	379	19	disease	disease	NOUN
ejpam-6685	379	20	dynamics	dynamic	NOUN
ejpam-6685	379	21	,	,	PUNCT
ejpam-6685	379	22	offering	offer	VERB
ejpam-6685	379	23	valuable	valuable	ADJ
ejpam-6685	379	24	guidance	guidance	NOUN
ejpam-6685	379	25	for	for	ADP
ejpam-6685	379	26	designing	design	VERB
ejpam-6685	379	27	effective	effective	ADJ
ejpam-6685	379	28	public	public	ADJ
ejpam-6685	379	29	health	health	NOUN
ejpam-6685	379	30	interventions	intervention	NOUN
ejpam-6685	379	31	to	to	PART
ejpam-6685	379	32	control	control	VERB
ejpam-6685	379	33	dengue	dengue	NOUN
ejpam-6685	379	34	outbreaks	outbreak	NOUN
ejpam-6685	379	35	in	in	ADP
ejpam-6685	379	36	endemic	endemic	ADJ
ejpam-6685	379	37	and	and	CCONJ
ejpam-6685	379	38	high	high	ADJ
ejpam-6685	379	39	-	-	PUNCT
ejpam-6685	379	40	risk	risk	NOUN
ejpam-6685	379	41	regions	region	NOUN
ejpam-6685	379	42	.	.	PUNCT
ejpam-6685	380	1	these	these	DET
ejpam-6685	380	2	findings	finding	NOUN
ejpam-6685	380	3	not	not	PART
ejpam-6685	380	4	only	only	ADV
ejpam-6685	380	5	enhanced	enhance	VERB
ejpam-6685	380	6	theoretical	theoretical	ADJ
ejpam-6685	380	7	understanding	understanding	NOUN
ejpam-6685	380	8	but	but	CCONJ
ejpam-6685	380	9	also	also	ADV
ejpam-6685	380	10	offered	offer	VERB
ejpam-6685	380	11	practical	practical	ADJ
ejpam-6685	380	12	implications	implication	NOUN
ejpam-6685	380	13	by	by	ADP
ejpam-6685	380	14	identifying	identify	VERB
ejpam-6685	380	15	influential	influential	ADJ
ejpam-6685	380	16	control	control	NOUN
ejpam-6685	380	17	variables	variable	NOUN
ejpam-6685	380	18	.	.	PUNCT
ejpam-6685	381	1	in	in	ADP
ejpam-6685	381	2	our	our	PRON
ejpam-6685	381	3	future	future	ADJ
ejpam-6685	381	4	work	work	NOUN
ejpam-6685	381	5	,	,	PUNCT
ejpam-6685	381	6	we	we	PRON
ejpam-6685	381	7	aim	aim	VERB
ejpam-6685	381	8	to	to	PART
ejpam-6685	381	9	investigate	investigate	VERB
ejpam-6685	381	10	the	the	DET
ejpam-6685	381	11	impact	impact	NOUN
ejpam-6685	381	12	of	of	ADP
ejpam-6685	381	13	time	time	NOUN
ejpam-6685	381	14	delays	delay	NOUN
ejpam-6685	381	15	on	on	ADP
ejpam-6685	381	16	the	the	DET
ejpam-6685	381	17	dynamics	dynamic	NOUN
ejpam-6685	381	18	of	of	ADP
ejpam-6685	381	19	dengue	dengue	NOUN
ejpam-6685	381	20	infection	infection	NOUN
ejpam-6685	381	21	,	,	PUNCT
ejpam-6685	381	22	thereby	thereby	ADV
ejpam-6685	381	23	m.	m.	NOUN
ejpam-6685	381	24	alsulami	alsulami	PROPN
ejpam-6685	381	25	,	,	PUNCT
ejpam-6685	381	26	r.	r.	PROPN
ejpam-6685	381	27	jan	jan	PROPN
ejpam-6685	381	28	,	,	PUNCT
ejpam-6685	381	29	e.	e.	PROPN
ejpam-6685	381	30	antonescu	antonescu	PROPN
ejpam-6685	381	31	/	/	SYM
ejpam-6685	381	32	eur	eur	PROPN
ejpam-6685	381	33	.	.	PUNCT
ejpam-6685	382	1	j.	j.	PROPN
ejpam-6685	382	2	pure	pure	PROPN
ejpam-6685	382	3	appl	appl	PROPN
ejpam-6685	382	4	.	.	PROPN
ejpam-6685	382	5	math	math	PROPN
ejpam-6685	382	6	,	,	PUNCT
ejpam-6685	382	7	18	18	NUM
ejpam-6685	382	8	(	(	PUNCT
ejpam-6685	382	9	3	3	NUM
ejpam-6685	382	10	)	)	PUNCT
ejpam-6685	382	11	(	(	PUNCT
ejpam-6685	382	12	2025	2025	NUM
ejpam-6685	382	13	)	)	PUNCT
ejpam-6685	382	14	,	,	PUNCT
ejpam-6685	382	15	6685	6685	NUM
ejpam-6685	382	16	17	17	NUM
ejpam-6685	382	17	of	of	ADP
ejpam-6685	382	18	19	19	NUM
ejpam-6685	382	19	capturing	capture	VERB
ejpam-6685	382	20	the	the	DET
ejpam-6685	382	21	influence	influence	NOUN
ejpam-6685	382	22	of	of	ADP
ejpam-6685	382	23	latency	latency	NOUN
ejpam-6685	382	24	periods	period	VERB
ejpam-6685	382	25	more	more	ADV
ejpam-6685	382	26	effectively	effectively	ADV
ejpam-6685	382	27	.	.	PUNCT
ejpam-6685	383	1	references	reference	NOUN
ejpam-6685	383	2	[	[	X
ejpam-6685	383	3	1	1	NUM
ejpam-6685	383	4	]	]	PUNCT
ejpam-6685	383	5	r.	r.	PROPN
ejpam-6685	383	6	dehghani	dehghani	PROPN
ejpam-6685	383	7	and	and	CCONJ
ejpam-6685	383	8	h.	h.	PROPN
ejpam-6685	383	9	kassiri	kassiri	PROPN
ejpam-6685	383	10	.	.	PUNCT
ejpam-6685	384	1	a	a	DET
ejpam-6685	384	2	review	review	NOUN
ejpam-6685	384	3	on	on	ADP
ejpam-6685	384	4	epidemiology	epidemiology	NOUN
ejpam-6685	384	5	of	of	ADP
ejpam-6685	384	6	dengue	dengue	NOUN
ejpam-6685	384	7	viral	viral	ADJ
ejpam-6685	384	8	infection	infection	NOUN
ejpam-6685	384	9	as	as	ADP
ejpam-6685	384	10	an	an	DET
ejpam-6685	384	11	emerging	emerge	VERB
ejpam-6685	384	12	disease	disease	NOUN
ejpam-6685	384	13	.	.	PUNCT
ejpam-6685	385	1	research	research	NOUN
ejpam-6685	385	2	journal	journal	PROPN
ejpam-6685	385	3	of	of	ADP
ejpam-6685	385	4	pharmacy	pharmacy	NOUN
ejpam-6685	385	5	and	and	CCONJ
ejpam-6685	385	6	technology	technology	NOUN
ejpam-6685	385	7	,	,	PUNCT
ejpam-6685	385	8	14(4):2296–2301	14(4):2296–2301	NUM
ejpam-6685	385	9	,	,	PUNCT
ejpam-6685	385	10	2021	2021	NUM
ejpam-6685	385	11	.	.	PUNCT
ejpam-6685	386	1	[	[	X
ejpam-6685	386	2	2	2	NUM
ejpam-6685	386	3	]	]	PUNCT
ejpam-6685	386	4	m.	m.	NOUN
ejpam-6685	386	5	s.	s.	PROPN
ejpam-6685	386	6	abdullah	abdullah	PROPN
ejpam-6685	386	7	,	,	PUNCT
ejpam-6685	386	8	m.	m.	PROPN
ejpam-6685	386	9	j.	j.	PROPN
ejpam-6685	386	10	islam	islam	PROPN
ejpam-6685	386	11	,	,	PUNCT
ejpam-6685	386	12	m.	m.	PROPN
ejpam-6685	386	13	m.	m.	PROPN
ejpam-6685	386	14	hasan	hasan	PROPN
ejpam-6685	386	15	,	,	PUNCT
ejpam-6685	386	16	d.	d.	PROPN
ejpam-6685	386	17	sarkar	sarkar	PROPN
ejpam-6685	386	18	,	,	PUNCT
ejpam-6685	386	19	m.	m.	PROPN
ejpam-6685	386	20	s.	s.	PROPN
ejpam-6685	386	21	rana	rana	PROPN
ejpam-6685	386	22	,	,	PUNCT
ejpam-6685	386	23	s.	s.	PROPN
ejpam-6685	386	24	s.	s.	PROPN
ejpam-6685	386	25	das	das	PROPN
ejpam-6685	386	26	,	,	PUNCT
ejpam-6685	386	27	and	and	CCONJ
ejpam-6685	386	28	m.	m.	NOUN
ejpam-6685	386	29	hossian	hossian	PROPN
ejpam-6685	386	30	.	.	PUNCT
ejpam-6685	387	1	impact	impact	NOUN
ejpam-6685	387	2	of	of	ADP
ejpam-6685	387	3	waste	waste	NOUN
ejpam-6685	387	4	management	management	NOUN
ejpam-6685	387	5	on	on	ADP
ejpam-6685	387	6	infectious	infectious	ADJ
ejpam-6685	387	7	disease	disease	NOUN
ejpam-6685	387	8	control	control	NOUN
ejpam-6685	387	9	:	:	PUNCT
ejpam-6685	387	10	evaluating	evaluate	VERB
ejpam-6685	387	11	strategies	strategy	NOUN
ejpam-6685	387	12	to	to	PART
ejpam-6685	387	13	mitigate	mitigate	VERB
ejpam-6685	387	14	dengue	dengue	NOUN
ejpam-6685	387	15	transmission	transmission	NOUN
ejpam-6685	387	16	and	and	CCONJ
ejpam-6685	387	17	mosquito	mosquito	VERB
ejpam-6685	387	18	breeding	breeding	NOUN
ejpam-6685	387	19	sites	site	NOUN
ejpam-6685	387	20	–	–	PUNCT
ejpam-6685	387	21	a	a	DET
ejpam-6685	387	22	systematic	systematic	ADJ
ejpam-6685	387	23	review	review	NOUN
ejpam-6685	387	24	.	.	PUNCT
ejpam-6685	388	1	journal	journal	NOUN
ejpam-6685	388	2	of	of	ADP
ejpam-6685	388	3	angiotherapy	angiotherapy	NOUN
ejpam-6685	388	4	,	,	PUNCT
ejpam-6685	388	5	8(8):1–12	8(8):1–12	NUM
ejpam-6685	388	6	,	,	PUNCT
ejpam-6685	388	7	2024	2024	NUM
ejpam-6685	388	8	.	.	PUNCT
ejpam-6685	389	1	[	[	X
ejpam-6685	389	2	3	3	X
ejpam-6685	389	3	]	]	PUNCT
ejpam-6685	389	4	e.	e.	PROPN
ejpam-6685	389	5	y.	y.	PROPN
ejpam-6685	389	6	y.	y.	PROPN
ejpam-6685	389	7	chan	chan	PROPN
ejpam-6685	389	8	,	,	PUNCT
ejpam-6685	389	9	t.	t.	PROPN
ejpam-6685	389	10	s.	s.	PROPN
ejpam-6685	389	11	t.	t.	PROPN
ejpam-6685	389	12	sham	sham	PROPN
ejpam-6685	389	13	,	,	PUNCT
ejpam-6685	389	14	t.	t.	PROPN
ejpam-6685	389	15	s.	s.	PROPN
ejpam-6685	389	16	shahzada	shahzada	PROPN
ejpam-6685	389	17	,	,	PUNCT
ejpam-6685	389	18	c.	c.	PROPN
ejpam-6685	389	19	dubois	dubois	PROPN
ejpam-6685	389	20	,	,	PUNCT
ejpam-6685	389	21	z.	z.	PROPN
ejpam-6685	389	22	huang	huang	PROPN
ejpam-6685	389	23	,	,	PUNCT
ejpam-6685	389	24	s.	s.	PROPN
ejpam-6685	389	25	liu	liu	PROPN
ejpam-6685	389	26	,	,	PUNCT
ejpam-6685	389	27	k.	k.	PROPN
ejpam-6685	389	28	k.	k.	PROPN
ejpam-6685	389	29	hung	hung	PROPN
ejpam-6685	389	30	,	,	PUNCT
ejpam-6685	389	31	s.	s.	PROPN
ejpam-6685	389	32	l.	l.	PROPN
ejpam-6685	389	33	tse	tse	PROPN
ejpam-6685	389	34	,	,	PUNCT
ejpam-6685	389	35	k.	k.	PROPN
ejpam-6685	389	36	o.	o.	PROPN
ejpam-6685	389	37	kwok	kwok	PROPN
ejpam-6685	389	38	,	,	PUNCT
ejpam-6685	389	39	p.	p.	PROPN
ejpam-6685	389	40	h.	h.	PROPN
ejpam-6685	389	41	chung	chung	PROPN
ejpam-6685	389	42	,	,	PUNCT
ejpam-6685	389	43	and	and	CCONJ
ejpam-6685	389	44	r.	r.	PROPN
ejpam-6685	389	45	kayano	kayano	PROPN
ejpam-6685	389	46	.	.	PUNCT
ejpam-6685	390	1	narrative	narrative	PROPN
ejpam-6685	390	2	review	review	NOUN
ejpam-6685	390	3	on	on	ADP
ejpam-6685	390	4	health	health	NOUN
ejpam-6685	390	5	-	-	PUNCT
ejpam-6685	390	6	edrm	edrm	VERB
ejpam-6685	390	7	primary	primary	ADJ
ejpam-6685	390	8	prevention	prevention	NOUN
ejpam-6685	390	9	measures	measure	NOUN
ejpam-6685	390	10	for	for	ADP
ejpam-6685	390	11	vector	vector	NOUN
ejpam-6685	390	12	-	-	PUNCT
ejpam-6685	390	13	borne	bear	VERB
ejpam-6685	390	14	diseases	disease	NOUN
ejpam-6685	390	15	.	.	PUNCT
ejpam-6685	391	1	international	international	ADJ
ejpam-6685	391	2	journal	journal	PROPN
ejpam-6685	391	3	of	of	ADP
ejpam-6685	391	4	environmental	environmental	ADJ
ejpam-6685	391	5	research	research	NOUN
ejpam-6685	391	6	and	and	CCONJ
ejpam-6685	391	7	public	public	ADJ
ejpam-6685	391	8	health	health	NOUN
ejpam-6685	391	9	,	,	PUNCT
ejpam-6685	391	10	17(16):5981	17(16):5981	NUM
ejpam-6685	391	11	,	,	PUNCT
ejpam-6685	391	12	2020	2020	NUM
ejpam-6685	391	13	.	.	PUNCT
ejpam-6685	392	1	[	[	X
ejpam-6685	392	2	4	4	X
ejpam-6685	392	3	]	]	X
ejpam-6685	392	4	susie	susie	PROPN
ejpam-6685	392	5	east	east	PROPN
ejpam-6685	392	6	.	.	PUNCT
ejpam-6685	393	1	world	world	NOUN
ejpam-6685	393	2	’s	’s	PART
ejpam-6685	393	3	first	first	ADJ
ejpam-6685	393	4	dengue	dengue	NOUN
ejpam-6685	393	5	fever	fever	NOUN
ejpam-6685	393	6	vaccine	vaccine	NOUN
ejpam-6685	393	7	launched	launch	VERB
ejpam-6685	393	8	in	in	ADP
ejpam-6685	393	9	the	the	DET
ejpam-6685	393	10	philippines	philippine	NOUN
ejpam-6685	393	11	,	,	PUNCT
ejpam-6685	393	12	2016	2016	NUM
ejpam-6685	393	13	.	.	PUNCT
ejpam-6685	394	1	cnn	cnn	PROPN
ejpam-6685	394	2	,	,	PUNCT
ejpam-6685	394	3	6	6	NUM
ejpam-6685	394	4	april	april	PROPN
ejpam-6685	394	5	2016	2016	NUM
ejpam-6685	394	6	.	.	PUNCT
ejpam-6685	395	1	archived	archive	VERB
ejpam-6685	395	2	from	from	ADP
ejpam-6685	395	3	the	the	DET
ejpam-6685	395	4	original	original	NOUN
ejpam-6685	395	5	on	on	ADP
ejpam-6685	395	6	18	18	NUM
ejpam-6685	395	7	october	october	PROPN
ejpam-6685	395	8	2016	2016	NUM
ejpam-6685	395	9	.	.	PUNCT
ejpam-6685	396	1	retrieved	retrieve	VERB
ejpam-6685	396	2	17	17	NUM
ejpam-6685	396	3	october	october	PROPN
ejpam-6685	396	4	2016	2016	NUM
ejpam-6685	396	5	.	.	PUNCT
ejpam-6685	397	1	[	[	X
ejpam-6685	397	2	5	5	NUM
ejpam-6685	397	3	]	]	PUNCT
ejpam-6685	397	4	epidemiology	epidemiology	NOUN
ejpam-6685	397	5	.	.	PUNCT
ejpam-6685	398	1	www.cdc.gov/dengue/epidemiology/index.html	www.cdc.gov/dengue/epidemiology/index.html	PROPN
ejpam-6685	398	2	.	.	PUNCT
ejpam-6685	399	1	retrieved	retrieve	VERB
ejpam-6685	399	2	7	7	NUM
ejpam-6685	399	3	march	march	NOUN
ejpam-6685	399	4	2018	2018	NUM
ejpam-6685	399	5	.	.	PUNCT
ejpam-6685	400	1	[	[	X
ejpam-6685	400	2	6	6	NUM
ejpam-6685	400	3	]	]	PUNCT
ejpam-6685	400	4	m.	m.	NOUN
ejpam-6685	400	5	a.	a.	PROPN
ejpam-6685	400	6	johansson	johansson	PROPN
ejpam-6685	400	7	,	,	PUNCT
ejpam-6685	400	8	j.	j.	PROPN
ejpam-6685	400	9	hombach	hombach	PROPN
ejpam-6685	400	10	,	,	PUNCT
ejpam-6685	400	11	p.	p.	PROPN
ejpam-6685	400	12	sinha	sinha	PROPN
ejpam-6685	400	13	,	,	PUNCT
ejpam-6685	400	14	and	and	CCONJ
ejpam-6685	400	15	d.	d.	PROPN
ejpam-6685	400	16	a.	a.	PROPN
ejpam-6685	400	17	cummings	cummings	PROPN
ejpam-6685	400	18	.	.	PUNCT
ejpam-6685	401	1	models	model	NOUN
ejpam-6685	401	2	of	of	ADP
ejpam-6685	401	3	the	the	DET
ejpam-6685	401	4	impact	impact	NOUN
ejpam-6685	401	5	of	of	ADP
ejpam-6685	401	6	dengue	dengue	NOUN
ejpam-6685	401	7	vaccines	vaccine	NOUN
ejpam-6685	401	8	:	:	PUNCT
ejpam-6685	401	9	a	a	DET
ejpam-6685	401	10	review	review	NOUN
ejpam-6685	401	11	of	of	ADP
ejpam-6685	401	12	current	current	ADJ
ejpam-6685	401	13	research	research	NOUN
ejpam-6685	401	14	and	and	CCONJ
ejpam-6685	401	15	potential	potential	ADJ
ejpam-6685	401	16	approaches	approach	NOUN
ejpam-6685	401	17	.	.	PUNCT
ejpam-6685	402	1	vaccine	vaccine	NOUN
ejpam-6685	402	2	,	,	PUNCT
ejpam-6685	402	3	29(35):5860–5868	29(35):5860–5868	NUM
ejpam-6685	402	4	,	,	PUNCT
ejpam-6685	402	5	2011	2011	NUM
ejpam-6685	402	6	.	.	PUNCT
ejpam-6685	403	1	[	[	X
ejpam-6685	403	2	7	7	X
ejpam-6685	403	3	]	]	X
ejpam-6685	403	4	j.	j.	PROPN
ejpam-6685	403	5	g.	g.	PROPN
ejpam-6685	403	6	julander	julander	PROPN
ejpam-6685	403	7	,	,	PUNCT
ejpam-6685	403	8	s.	s.	PROPN
ejpam-6685	403	9	t.	t.	PROPN
ejpam-6685	403	10	perry	perry	PROPN
ejpam-6685	403	11	,	,	PUNCT
ejpam-6685	403	12	and	and	CCONJ
ejpam-6685	403	13	s.	s.	PROPN
ejpam-6685	403	14	shresta	shresta	PROPN
ejpam-6685	403	15	.	.	PUNCT
ejpam-6685	404	1	important	important	ADJ
ejpam-6685	404	2	advances	advance	NOUN
ejpam-6685	404	3	in	in	ADP
ejpam-6685	404	4	the	the	DET
ejpam-6685	404	5	field	field	NOUN
ejpam-6685	404	6	of	of	ADP
ejpam-6685	404	7	antidengue	antidengue	PROPN
ejpam-6685	404	8	virus	virus	PROPN
ejpam-6685	404	9	research	research	NOUN
ejpam-6685	404	10	.	.	PUNCT
ejpam-6685	405	1	antiviral	antiviral	ADJ
ejpam-6685	405	2	chemistry	chemistry	PROPN
ejpam-6685	405	3	&	&	CCONJ
ejpam-6685	405	4	chemotherapy	chemotherapy	PROPN
ejpam-6685	405	5	,	,	PUNCT
ejpam-6685	405	6	21(3):105–116	21(3):105–116	PROPN
ejpam-6685	405	7	,	,	PUNCT
ejpam-6685	405	8	2011	2011	NUM
ejpam-6685	405	9	.	.	PUNCT
ejpam-6685	406	1	[	[	X
ejpam-6685	406	2	8	8	NUM
ejpam-6685	406	3	]	]	X
ejpam-6685	406	4	h.	h.	PROPN
ejpam-6685	406	5	medekhel	medekhel	PROPN
ejpam-6685	406	6	,	,	PUNCT
ejpam-6685	406	7	r.	r.	PROPN
ejpam-6685	406	8	jan	jan	PROPN
ejpam-6685	406	9	,	,	PUNCT
ejpam-6685	406	10	s.	s.	PROPN
ejpam-6685	406	11	boulaaras	boulaaras	PROPN
ejpam-6685	406	12	,	,	PUNCT
ejpam-6685	406	13	r.	r.	PROPN
ejpam-6685	406	14	guefaifia	guefaifia	PROPN
ejpam-6685	406	15	,	,	PUNCT
ejpam-6685	406	16	and	and	CCONJ
ejpam-6685	406	17	a.	a.	PROPN
ejpam-6685	406	18	himadan	himadan	PROPN
ejpam-6685	406	19	.	.	PUNCT
ejpam-6685	407	1	existence	existence	NOUN
ejpam-6685	407	2	and	and	CCONJ
ejpam-6685	407	3	uniqueness	uniqueness	NOUN
ejpam-6685	407	4	of	of	ADP
ejpam-6685	407	5	solutions	solution	NOUN
ejpam-6685	407	6	to	to	ADP
ejpam-6685	407	7	a	a	DET
ejpam-6685	407	8	weighted	weight	VERB
ejpam-6685	407	9	laplace	laplace	NOUN
ejpam-6685	407	10	equation	equation	NOUN
ejpam-6685	407	11	with	with	ADP
ejpam-6685	407	12	spectral	spectral	ADJ
ejpam-6685	407	13	perturbation	perturbation	NOUN
ejpam-6685	407	14	near	near	ADP
ejpam-6685	407	15	a	a	DET
ejpam-6685	407	16	plane	plane	NOUN
ejpam-6685	407	17	sector	sector	NOUN
ejpam-6685	407	18	vertex	vertex	NOUN
ejpam-6685	407	19	.	.	PUNCT
ejpam-6685	408	1	fractals	fractal	NOUN
ejpam-6685	408	2	,	,	PUNCT
ejpam-6685	408	3	page	page	NOUN
ejpam-6685	408	4	2540178	2540178	NUM
ejpam-6685	408	5	,	,	PUNCT
ejpam-6685	408	6	2025	2025	NUM
ejpam-6685	408	7	.	.	PUNCT
ejpam-6685	409	1	[	[	X
ejpam-6685	409	2	9	9	NUM
ejpam-6685	409	3	]	]	X
ejpam-6685	409	4	m.	m.	NOUN
ejpam-6685	409	5	ramzan	ramzan	PROPN
ejpam-6685	409	6	,	,	PUNCT
ejpam-6685	409	7	a.	a.	NOUN
ejpam-6685	409	8	shafique	shafique	NOUN
ejpam-6685	409	9	,	,	PUNCT
ejpam-6685	409	10	s.	s.	PROPN
ejpam-6685	409	11	abbas	abbas	PROPN
ejpam-6685	409	12	,	,	PUNCT
ejpam-6685	409	13	r.	r.	PROPN
ejpam-6685	409	14	ali	ali	PROPN
ejpam-6685	409	15	,	,	PUNCT
ejpam-6685	409	16	t.	t.	PROPN
ejpam-6685	409	17	lamoudan	lamoudan	PROPN
ejpam-6685	409	18	,	,	PUNCT
ejpam-6685	409	19	r.	r.	PROPN
ejpam-6685	409	20	jan	jan	PROPN
ejpam-6685	409	21	,	,	PUNCT
ejpam-6685	409	22	m.	m.	NOUN
ejpam-6685	409	23	norberdiyeva	norberdiyeva	PROPN
ejpam-6685	409	24	,	,	PUNCT
ejpam-6685	409	25	b.	b.	PROPN
ejpam-6685	409	26	turabova	turabova	PROPN
ejpam-6685	409	27	,	,	PUNCT
ejpam-6685	409	28	and	and	CCONJ
ejpam-6685	409	29	h.	h.	PROPN
ejpam-6685	409	30	a.	a.	PROPN
ejpam-6685	409	31	s.	s.	PROPN
ejpam-6685	409	32	garalleh	garalleh	PROPN
ejpam-6685	409	33	.	.	PUNCT
ejpam-6685	410	1	mathematical	mathematical	ADJ
ejpam-6685	410	2	analysis	analysis	NOUN
ejpam-6685	410	3	of	of	ADP
ejpam-6685	410	4	prandtl	prandtl	NOUN
ejpam-6685	410	5	number	number	NOUN
ejpam-6685	410	6	with	with	ADP
ejpam-6685	410	7	artificial	artificial	ADJ
ejpam-6685	410	8	neural	neural	ADJ
ejpam-6685	410	9	network	network	NOUN
ejpam-6685	410	10	and	and	CCONJ
ejpam-6685	410	11	fractional	fractional	ADJ
ejpam-6685	410	12	operator	operator	NOUN
ejpam-6685	410	13	for	for	ADP
ejpam-6685	410	14	nanofluid	nanofluid	ADJ
ejpam-6685	410	15	flow	flow	NOUN
ejpam-6685	410	16	.	.	PUNCT
ejpam-6685	411	1	case	case	NOUN
ejpam-6685	411	2	studies	study	NOUN
ejpam-6685	411	3	in	in	ADP
ejpam-6685	411	4	thermal	thermal	ADJ
ejpam-6685	411	5	engineering	engineering	NOUN
ejpam-6685	411	6	,	,	PUNCT
ejpam-6685	411	7	page	page	NOUN
ejpam-6685	411	8	106164	106164	NUM
ejpam-6685	411	9	,	,	PUNCT
ejpam-6685	411	10	2025	2025	NUM
ejpam-6685	411	11	.	.	PUNCT
ejpam-6685	412	1	[	[	X
ejpam-6685	412	2	10	10	NUM
ejpam-6685	412	3	]	]	X
ejpam-6685	412	4	z.	z.	PROPN
ejpam-6685	412	5	khan	khan	PROPN
ejpam-6685	412	6	,	,	PUNCT
ejpam-6685	412	7	m.	m.	PROPN
ejpam-6685	412	8	jawad	jawad	PROPN
ejpam-6685	412	9	,	,	PUNCT
ejpam-6685	412	10	e.	e.	PROPN
ejpam-6685	412	11	bonyah	bonyah	PROPN
ejpam-6685	412	12	,	,	PUNCT
ejpam-6685	412	13	n.	n.	PROPN
ejpam-6685	412	14	khan	khan	PROPN
ejpam-6685	412	15	,	,	PUNCT
ejpam-6685	412	16	and	and	CCONJ
ejpam-6685	412	17	r.	r.	PROPN
ejpam-6685	412	18	jan	jan	PROPN
ejpam-6685	412	19	.	.	PROPN
ejpam-6685	412	20	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-6685	412	21	thin	thin	ADJ
ejpam-6685	412	22	film	film	NOUN
ejpam-6685	412	23	flow	flow	NOUN
ejpam-6685	412	24	through	through	ADP
ejpam-6685	412	25	a	a	DET
ejpam-6685	412	26	porous	porous	ADJ
ejpam-6685	412	27	stretching	stretching	NOUN
ejpam-6685	412	28	sheet	sheet	NOUN
ejpam-6685	412	29	with	with	ADP
ejpam-6685	412	30	the	the	DET
ejpam-6685	412	31	impact	impact	NOUN
ejpam-6685	412	32	of	of	ADP
ejpam-6685	412	33	thermal	thermal	ADJ
ejpam-6685	412	34	radiation	radiation	NOUN
ejpam-6685	412	35	and	and	CCONJ
ejpam-6685	412	36	viscous	viscous	ADJ
ejpam-6685	412	37	dissipation	dissipation	NOUN
ejpam-6685	412	38	.	.	PUNCT
ejpam-6685	413	1	mathematical	mathematical	ADJ
ejpam-6685	413	2	problems	problem	NOUN
ejpam-6685	413	3	in	in	ADP
ejpam-6685	413	4	engineering	engineering	NOUN
ejpam-6685	413	5	,	,	PUNCT
ejpam-6685	413	6	2022(1):1086847	2022(1):1086847	PROPN
ejpam-6685	413	7	,	,	PUNCT
ejpam-6685	413	8	2022	2022	NUM
ejpam-6685	413	9	.	.	PUNCT
ejpam-6685	414	1	[	[	X
ejpam-6685	414	2	11	11	NUM
ejpam-6685	414	3	]	]	PUNCT
ejpam-6685	414	4	m.	m.	NOUN
ejpam-6685	414	5	c.	c.	PROPN
ejpam-6685	414	6	bahi	bahi	PROPN
ejpam-6685	414	7	,	,	PUNCT
ejpam-6685	414	8	s.	s.	PROPN
ejpam-6685	414	9	bahramand	bahramand	PROPN
ejpam-6685	414	10	,	,	PUNCT
ejpam-6685	414	11	r.	r.	PROPN
ejpam-6685	414	12	jan	jan	PROPN
ejpam-6685	414	13	,	,	PUNCT
ejpam-6685	414	14	s.	s.	PROPN
ejpam-6685	414	15	boulaaras	boulaaras	PROPN
ejpam-6685	414	16	,	,	PUNCT
ejpam-6685	414	17	h.	h.	PROPN
ejpam-6685	414	18	ahmad	ahmad	PROPN
ejpam-6685	414	19	,	,	PUNCT
ejpam-6685	414	20	and	and	CCONJ
ejpam-6685	414	21	r.	r.	PROPN
ejpam-6685	414	22	guefaifia	guefaifia	PROPN
ejpam-6685	414	23	.	.	PUNCT
ejpam-6685	415	1	fractional	fractional	ADJ
ejpam-6685	415	2	view	view	NOUN
ejpam-6685	415	3	analysis	analysis	NOUN
ejpam-6685	415	4	of	of	ADP
ejpam-6685	415	5	sexual	sexual	ADJ
ejpam-6685	415	6	transmitted	transmit	VERB
ejpam-6685	415	7	human	human	ADJ
ejpam-6685	415	8	papilloma	papilloma	NOUN
ejpam-6685	415	9	virus	virus	NOUN
ejpam-6685	415	10	infection	infection	NOUN
ejpam-6685	415	11	for	for	ADP
ejpam-6685	415	12	public	public	ADJ
ejpam-6685	415	13	health	health	NOUN
ejpam-6685	415	14	.	.	PUNCT
ejpam-6685	416	1	scientific	scientific	ADJ
ejpam-6685	416	2	reports	report	NOUN
ejpam-6685	416	3	,	,	PUNCT
ejpam-6685	416	4	14(1):3048	14(1):3048	NUM
ejpam-6685	416	5	,	,	PUNCT
ejpam-6685	416	6	2024	2024	NUM
ejpam-6685	416	7	.	.	PUNCT
ejpam-6685	417	1	[	[	X
ejpam-6685	417	2	12	12	NUM
ejpam-6685	417	3	]	]	X
ejpam-6685	417	4	r.	r.	PROPN
ejpam-6685	417	5	jan	jan	PROPN
ejpam-6685	417	6	and	and	CCONJ
ejpam-6685	417	7	y.	y.	PROPN
ejpam-6685	417	8	xiao	xiao	PROPN
ejpam-6685	417	9	.	.	PROPN
ejpam-6685	417	10	effect	effect	NOUN
ejpam-6685	417	11	of	of	ADP
ejpam-6685	417	12	pulse	pulse	NOUN
ejpam-6685	417	13	vaccination	vaccination	NOUN
ejpam-6685	417	14	on	on	ADP
ejpam-6685	417	15	dynamics	dynamic	NOUN
ejpam-6685	417	16	of	of	ADP
ejpam-6685	417	17	dengue	dengue	NOUN
ejpam-6685	417	18	with	with	ADP
ejpam-6685	417	19	periodic	periodic	ADJ
ejpam-6685	417	20	transmission	transmission	NOUN
ejpam-6685	417	21	functions	function	NOUN
ejpam-6685	417	22	.	.	PUNCT
ejpam-6685	418	1	advances	advance	NOUN
ejpam-6685	418	2	in	in	ADP
ejpam-6685	418	3	difference	difference	NOUN
ejpam-6685	418	4	equations	equation	NOUN
ejpam-6685	418	5	,	,	PUNCT
ejpam-6685	418	6	2019(1):1–17	2019(1):1–17	PROPN
ejpam-6685	418	7	,	,	PUNCT
ejpam-6685	418	8	2019	2019	NUM
ejpam-6685	418	9	.	.	PUNCT
ejpam-6685	419	1	[	[	X
ejpam-6685	419	2	13	13	NUM
ejpam-6685	419	3	]	]	PUNCT
ejpam-6685	419	4	r.	r.	PROPN
ejpam-6685	419	5	jan	jan	PROPN
ejpam-6685	419	6	,	,	PUNCT
ejpam-6685	419	7	z.	z.	PROPN
ejpam-6685	419	8	shah	shah	PROPN
ejpam-6685	419	9	,	,	PUNCT
ejpam-6685	419	10	w.	w.	PROPN
ejpam-6685	419	11	deebani	deebani	PROPN
ejpam-6685	419	12	,	,	PUNCT
ejpam-6685	419	13	and	and	CCONJ
ejpam-6685	419	14	e.	e.	PROPN
ejpam-6685	419	15	alzahrani	alzahrani	PROPN
ejpam-6685	419	16	.	.	PUNCT
ejpam-6685	420	1	analysis	analysis	NOUN
ejpam-6685	420	2	and	and	CCONJ
ejpam-6685	420	3	dynamical	dynamical	ADJ
ejpam-6685	420	4	behavior	behavior	NOUN
ejpam-6685	420	5	of	of	ADP
ejpam-6685	420	6	a	a	DET
ejpam-6685	420	7	novel	novel	ADJ
ejpam-6685	420	8	dengue	dengue	NOUN
ejpam-6685	420	9	model	model	NOUN
ejpam-6685	420	10	via	via	ADP
ejpam-6685	420	11	fractional	fractional	ADJ
ejpam-6685	420	12	calculus	calculus	NOUN
ejpam-6685	420	13	.	.	PUNCT
ejpam-6685	421	1	international	international	ADJ
ejpam-6685	421	2	journal	journal	PROPN
ejpam-6685	421	3	of	of	ADP
ejpam-6685	421	4	biomathematics	biomathematic	NOUN
ejpam-6685	421	5	,	,	PUNCT
ejpam-6685	421	6	15(06):2250036	15(06):2250036	NOUN
ejpam-6685	421	7	,	,	PUNCT
ejpam-6685	421	8	2022	2022	NUM
ejpam-6685	421	9	.	.	PUNCT
ejpam-6685	422	1	m.	m.	NOUN
ejpam-6685	422	2	alsulami	alsulami	PROPN
ejpam-6685	422	3	,	,	PUNCT
ejpam-6685	422	4	r.	r.	PROPN
ejpam-6685	422	5	jan	jan	PROPN
ejpam-6685	422	6	,	,	PUNCT
ejpam-6685	422	7	e.	e.	PROPN
ejpam-6685	422	8	antonescu	antonescu	PROPN
ejpam-6685	422	9	/	/	SYM
ejpam-6685	422	10	eur	eur	PROPN
ejpam-6685	422	11	.	.	PUNCT
ejpam-6685	423	1	j.	j.	PROPN
ejpam-6685	423	2	pure	pure	PROPN
ejpam-6685	423	3	appl	appl	PROPN
ejpam-6685	423	4	.	.	PROPN
ejpam-6685	423	5	math	math	PROPN
ejpam-6685	423	6	,	,	PUNCT
ejpam-6685	423	7	18	18	NUM
ejpam-6685	423	8	(	(	PUNCT
ejpam-6685	423	9	3	3	NUM
ejpam-6685	423	10	)	)	PUNCT
ejpam-6685	423	11	(	(	PUNCT
ejpam-6685	423	12	2025	2025	NUM
ejpam-6685	423	13	)	)	PUNCT
ejpam-6685	423	14	,	,	PUNCT
ejpam-6685	423	15	6685	6685	NUM
ejpam-6685	423	16	18	18	NUM
ejpam-6685	423	17	of	of	ADP
ejpam-6685	423	18	19	19	NUM
ejpam-6685	423	19	[	[	SYM
ejpam-6685	423	20	14	14	NUM
ejpam-6685	423	21	]	]	X
ejpam-6685	423	22	l.	l.	PROPN
ejpam-6685	423	23	esteva	esteva	PROPN
ejpam-6685	423	24	and	and	CCONJ
ejpam-6685	423	25	c.	c.	PROPN
ejpam-6685	423	26	vargas	vargas	PROPN
ejpam-6685	423	27	.	.	PUNCT
ejpam-6685	424	1	analysis	analysis	NOUN
ejpam-6685	424	2	of	of	ADP
ejpam-6685	424	3	a	a	DET
ejpam-6685	424	4	dengue	dengue	NOUN
ejpam-6685	424	5	disease	disease	NOUN
ejpam-6685	424	6	transmission	transmission	NOUN
ejpam-6685	424	7	model	model	NOUN
ejpam-6685	424	8	.	.	PUNCT
ejpam-6685	425	1	mathematical	mathematical	ADJ
ejpam-6685	425	2	biosciences	bioscience	NOUN
ejpam-6685	425	3	,	,	PUNCT
ejpam-6685	425	4	150(2):131–151	150(2):131–151	NUM
ejpam-6685	425	5	,	,	PUNCT
ejpam-6685	425	6	1998	1998	NUM
ejpam-6685	425	7	.	.	PUNCT
ejpam-6685	426	1	[	[	X
ejpam-6685	426	2	15	15	NUM
ejpam-6685	426	3	]	]	X
ejpam-6685	426	4	l.	l.	PROPN
ejpam-6685	426	5	esteva	esteva	PROPN
ejpam-6685	426	6	and	and	CCONJ
ejpam-6685	426	7	c.	c.	PROPN
ejpam-6685	426	8	vargas	vargas	PROPN
ejpam-6685	426	9	.	.	PUNCT
ejpam-6685	427	1	a	a	DET
ejpam-6685	427	2	model	model	NOUN
ejpam-6685	427	3	for	for	ADP
ejpam-6685	427	4	dengue	dengue	NOUN
ejpam-6685	427	5	disease	disease	NOUN
ejpam-6685	427	6	with	with	ADP
ejpam-6685	427	7	variable	variable	ADJ
ejpam-6685	427	8	human	human	ADJ
ejpam-6685	427	9	population	population	NOUN
ejpam-6685	427	10	.	.	PUNCT
ejpam-6685	428	1	journal	journal	PROPN
ejpam-6685	428	2	of	of	ADP
ejpam-6685	428	3	mathematical	mathematical	ADJ
ejpam-6685	428	4	biology	biology	NOUN
ejpam-6685	428	5	,	,	PUNCT
ejpam-6685	428	6	38(3):220–240	38(3):220–240	NOUN
ejpam-6685	428	7	,	,	PUNCT
ejpam-6685	428	8	1999	1999	NUM
ejpam-6685	428	9	.	.	PUNCT
ejpam-6685	429	1	[	[	X
ejpam-6685	429	2	16	16	NUM
ejpam-6685	429	3	]	]	PUNCT
ejpam-6685	429	4	m.	m.	NOUN
ejpam-6685	429	5	derouich	derouich	PROPN
ejpam-6685	429	6	,	,	PUNCT
ejpam-6685	429	7	a.	a.	PROPN
ejpam-6685	429	8	boutayeb	boutayeb	PROPN
ejpam-6685	429	9	,	,	PUNCT
ejpam-6685	429	10	and	and	CCONJ
ejpam-6685	429	11	e.	e.	PROPN
ejpam-6685	429	12	h.	h.	PROPN
ejpam-6685	429	13	twizell	twizell	PROPN
ejpam-6685	429	14	.	.	PUNCT
ejpam-6685	430	1	a	a	DET
ejpam-6685	430	2	model	model	NOUN
ejpam-6685	430	3	of	of	ADP
ejpam-6685	430	4	dengue	dengue	NOUN
ejpam-6685	430	5	fever	fever	NOUN
ejpam-6685	430	6	.	.	PUNCT
ejpam-6685	431	1	biomedical	biomedical	ADJ
ejpam-6685	431	2	engineering	engineering	PROPN
ejpam-6685	431	3	online	online	NOUN
ejpam-6685	431	4	,	,	PUNCT
ejpam-6685	431	5	2:1–10	2:1–10	NUM
ejpam-6685	431	6	,	,	PUNCT
ejpam-6685	431	7	2003	2003	NUM
ejpam-6685	431	8	.	.	PUNCT
ejpam-6685	432	1	[	[	X
ejpam-6685	432	2	17	17	NUM
ejpam-6685	432	3	]	]	X
ejpam-6685	432	4	r.	r.	PROPN
ejpam-6685	432	5	jan	jan	PROPN
ejpam-6685	432	6	and	and	CCONJ
ejpam-6685	432	7	y.	y.	PROPN
ejpam-6685	432	8	xiao	xiao	PROPN
ejpam-6685	432	9	.	.	PROPN
ejpam-6685	432	10	effect	effect	NOUN
ejpam-6685	432	11	of	of	ADP
ejpam-6685	432	12	partial	partial	ADJ
ejpam-6685	432	13	immunity	immunity	NOUN
ejpam-6685	432	14	on	on	ADP
ejpam-6685	432	15	transmission	transmission	NOUN
ejpam-6685	432	16	dynamics	dynamic	NOUN
ejpam-6685	432	17	of	of	ADP
ejpam-6685	432	18	dengue	dengue	NOUN
ejpam-6685	432	19	disease	disease	NOUN
ejpam-6685	432	20	with	with	ADP
ejpam-6685	432	21	optimal	optimal	ADJ
ejpam-6685	432	22	control	control	NOUN
ejpam-6685	432	23	.	.	PUNCT
ejpam-6685	433	1	mathematical	mathematical	ADJ
ejpam-6685	433	2	methods	method	NOUN
ejpam-6685	433	3	in	in	ADP
ejpam-6685	433	4	the	the	DET
ejpam-6685	433	5	applied	apply	VERB
ejpam-6685	433	6	sciences	science	NOUN
ejpam-6685	433	7	,	,	PUNCT
ejpam-6685	433	8	42(6):1967–1983	42(6):1967–1983	NOUN
ejpam-6685	433	9	,	,	PUNCT
ejpam-6685	433	10	2019	2019	NUM
ejpam-6685	433	11	.	.	PUNCT
ejpam-6685	434	1	[	[	X
ejpam-6685	434	2	18	18	NUM
ejpam-6685	434	3	]	]	PUNCT
ejpam-6685	434	4	z.	z.	PROPN
ejpam-6685	434	5	feng	feng	PROPN
ejpam-6685	434	6	and	and	CCONJ
ejpam-6685	434	7	j.	j.	PROPN
ejpam-6685	434	8	x.	x.	PROPN
ejpam-6685	434	9	velasco	velasco	PROPN
ejpam-6685	434	10	-	-	PUNCT
ejpam-6685	434	11	hernández	hernández	PROPN
ejpam-6685	434	12	.	.	PUNCT
ejpam-6685	435	1	competitive	competitive	ADJ
ejpam-6685	435	2	exclusion	exclusion	NOUN
ejpam-6685	435	3	in	in	ADP
ejpam-6685	435	4	a	a	DET
ejpam-6685	435	5	vector	vector	NOUN
ejpam-6685	435	6	-	-	PUNCT
ejpam-6685	435	7	host	host	NOUN
ejpam-6685	435	8	model	model	NOUN
ejpam-6685	435	9	for	for	ADP
ejpam-6685	435	10	the	the	DET
ejpam-6685	435	11	dengue	dengue	NOUN
ejpam-6685	435	12	fever	fever	NOUN
ejpam-6685	435	13	.	.	PUNCT
ejpam-6685	436	1	journal	journal	PROPN
ejpam-6685	436	2	of	of	ADP
ejpam-6685	436	3	mathematical	mathematical	ADJ
ejpam-6685	436	4	biology	biology	NOUN
ejpam-6685	436	5	,	,	PUNCT
ejpam-6685	436	6	35:523–544	35:523–544	PROPN
ejpam-6685	436	7	,	,	PUNCT
ejpam-6685	436	8	1997	1997	NUM
ejpam-6685	436	9	.	.	PUNCT
ejpam-6685	437	1	[	[	X
ejpam-6685	437	2	19	19	NUM
ejpam-6685	437	3	]	]	X
ejpam-6685	437	4	n.	n.	PROPN
ejpam-6685	437	5	nuraini	nuraini	PROPN
ejpam-6685	437	6	,	,	PUNCT
ejpam-6685	437	7	e.	e.	PROPN
ejpam-6685	437	8	soewono	soewono	PROPN
ejpam-6685	437	9	,	,	PUNCT
ejpam-6685	437	10	and	and	CCONJ
ejpam-6685	437	11	k.	k.	PROPN
ejpam-6685	437	12	a.	a.	PROPN
ejpam-6685	437	13	sidarto	sidarto	PROPN
ejpam-6685	437	14	.	.	PUNCT
ejpam-6685	438	1	mathematical	mathematical	ADJ
ejpam-6685	438	2	model	model	NOUN
ejpam-6685	438	3	of	of	ADP
ejpam-6685	438	4	dengue	dengue	NOUN
ejpam-6685	438	5	disease	disease	NOUN
ejpam-6685	438	6	transmission	transmission	NOUN
ejpam-6685	438	7	with	with	ADP
ejpam-6685	438	8	severe	severe	ADJ
ejpam-6685	438	9	dhf	dhf	NOUN
ejpam-6685	438	10	compartment	compartment	NOUN
ejpam-6685	438	11	.	.	PUNCT
ejpam-6685	439	1	bulletin	bulletin	NOUN
ejpam-6685	439	2	of	of	ADP
ejpam-6685	439	3	the	the	DET
ejpam-6685	439	4	malaysian	malaysian	PROPN
ejpam-6685	439	5	mathematical	mathematical	PROPN
ejpam-6685	439	6	sciences	sciences	PROPN
ejpam-6685	439	7	society	society	NOUN
ejpam-6685	439	8	,	,	PUNCT
ejpam-6685	439	9	30(2	30(2	NUM
ejpam-6685	439	10	)	)	PUNCT
ejpam-6685	439	11	,	,	PUNCT
ejpam-6685	439	12	2007	2007	NUM
ejpam-6685	439	13	.	.	PUNCT
ejpam-6685	440	1	[	[	X
ejpam-6685	440	2	20	20	NUM
ejpam-6685	440	3	]	]	PUNCT
ejpam-6685	440	4	j.	j.	PROPN
ejpam-6685	440	5	j.	j.	PROPN
ejpam-6685	440	6	tewa	tewa	PROPN
ejpam-6685	440	7	,	,	PUNCT
ejpam-6685	440	8	j.	j.	PROPN
ejpam-6685	440	9	l.	l.	PROPN
ejpam-6685	440	10	dimi	dimi	PROPN
ejpam-6685	440	11	,	,	PUNCT
ejpam-6685	440	12	and	and	CCONJ
ejpam-6685	440	13	s.	s.	PROPN
ejpam-6685	440	14	bowong	bowong	PROPN
ejpam-6685	440	15	.	.	PUNCT
ejpam-6685	441	1	lyapunov	lyapunov	ADJ
ejpam-6685	441	2	functions	function	NOUN
ejpam-6685	441	3	for	for	ADP
ejpam-6685	441	4	a	a	DET
ejpam-6685	441	5	dengue	dengue	NOUN
ejpam-6685	441	6	disease	disease	NOUN
ejpam-6685	441	7	transmission	transmission	NOUN
ejpam-6685	441	8	model	model	NOUN
ejpam-6685	441	9	.	.	PUNCT
ejpam-6685	442	1	chaos	chaos	NOUN
ejpam-6685	442	2	,	,	PUNCT
ejpam-6685	442	3	solitons	soliton	NOUN
ejpam-6685	442	4	&	&	CCONJ
ejpam-6685	442	5	fractals	fractal	NOUN
ejpam-6685	442	6	,	,	PUNCT
ejpam-6685	442	7	39(2):936–941	39(2):936–941	NUM
ejpam-6685	442	8	,	,	PUNCT
ejpam-6685	442	9	2009	2009	NUM
ejpam-6685	442	10	.	.	PUNCT
ejpam-6685	443	1	[	[	X
ejpam-6685	443	2	21	21	NUM
ejpam-6685	443	3	]	]	X
ejpam-6685	443	4	r.	r.	PROPN
ejpam-6685	443	5	jan	jan	PROPN
ejpam-6685	443	6	,	,	PUNCT
ejpam-6685	443	7	s.	s.	PROPN
ejpam-6685	443	8	boulaaras	boulaaras	PROPN
ejpam-6685	443	9	,	,	PUNCT
ejpam-6685	443	10	s.	s.	PROPN
ejpam-6685	443	11	alyobi	alyobi	PROPN
ejpam-6685	443	12	,	,	PUNCT
ejpam-6685	443	13	k.	k.	PROPN
ejpam-6685	443	14	rajagopal	rajagopal	PROPN
ejpam-6685	443	15	,	,	PUNCT
ejpam-6685	443	16	and	and	CCONJ
ejpam-6685	443	17	m.	m.	PROPN
ejpam-6685	443	18	jawad	jawad	PROPN
ejpam-6685	443	19	.	.	PUNCT
ejpam-6685	444	1	fractional	fractional	ADJ
ejpam-6685	444	2	dynamics	dynamic	NOUN
ejpam-6685	444	3	of	of	ADP
ejpam-6685	444	4	the	the	DET
ejpam-6685	444	5	transmission	transmission	NOUN
ejpam-6685	444	6	phenomena	phenomenon	NOUN
ejpam-6685	444	7	of	of	ADP
ejpam-6685	444	8	dengue	dengue	NOUN
ejpam-6685	444	9	infection	infection	NOUN
ejpam-6685	444	10	with	with	ADP
ejpam-6685	444	11	vaccination	vaccination	NOUN
ejpam-6685	444	12	.	.	PUNCT
ejpam-6685	445	1	discrete	discrete	ADJ
ejpam-6685	445	2	and	and	CCONJ
ejpam-6685	445	3	continuous	continuous	ADJ
ejpam-6685	445	4	dynamical	dynamical	ADJ
ejpam-6685	445	5	systems	system	NOUN
ejpam-6685	445	6	series	series	NOUN
ejpam-6685	445	7	s	s	PART
ejpam-6685	445	8	,	,	PUNCT
ejpam-6685	445	9	2022	2022	NUM
ejpam-6685	445	10	.	.	PUNCT
ejpam-6685	446	1	[	[	X
ejpam-6685	446	2	22	22	NUM
ejpam-6685	446	3	]	]	PUNCT
ejpam-6685	446	4	s.	s.	PROPN
ejpam-6685	446	5	m.	m.	PROPN
ejpam-6685	446	6	c.	c.	PROPN
ejpam-6685	446	7	tirado	tirado	PROPN
ejpam-6685	446	8	and	and	CCONJ
ejpam-6685	446	9	k.	k.	PROPN
ejpam-6685	446	10	j.	j.	PROPN
ejpam-6685	446	11	yoon	yoon	PROPN
ejpam-6685	446	12	.	.	PUNCT
ejpam-6685	447	1	antibody	antibody	NOUN
ejpam-6685	447	2	-	-	PUNCT
ejpam-6685	447	3	dependent	dependent	ADJ
ejpam-6685	447	4	enhancement	enhancement	NOUN
ejpam-6685	447	5	of	of	ADP
ejpam-6685	447	6	virus	virus	NOUN
ejpam-6685	447	7	infection	infection	NOUN
ejpam-6685	447	8	and	and	CCONJ
ejpam-6685	447	9	disease	disease	NOUN
ejpam-6685	447	10	.	.	PUNCT
ejpam-6685	448	1	viral	viral	ADJ
ejpam-6685	448	2	immunology	immunology	NOUN
ejpam-6685	448	3	,	,	PUNCT
ejpam-6685	448	4	16(1):69–86	16(1):69–86	NUM
ejpam-6685	448	5	,	,	PUNCT
ejpam-6685	448	6	2003	2003	NUM
ejpam-6685	448	7	.	.	PUNCT
ejpam-6685	449	1	[	[	X
ejpam-6685	449	2	23	23	NUM
ejpam-6685	449	3	]	]	PUNCT
ejpam-6685	449	4	l.	l.	PROPN
ejpam-6685	449	5	billings	billing	NOUN
ejpam-6685	449	6	,	,	PUNCT
ejpam-6685	449	7	a.	a.	NOUN
ejpam-6685	449	8	fiorillo	fiorillo	PROPN
ejpam-6685	449	9	,	,	PUNCT
ejpam-6685	449	10	and	and	CCONJ
ejpam-6685	449	11	i.	i.	PROPN
ejpam-6685	449	12	b.	b.	PROPN
ejpam-6685	449	13	schwartz	schwartz	PROPN
ejpam-6685	449	14	.	.	PUNCT
ejpam-6685	450	1	vaccinations	vaccination	NOUN
ejpam-6685	450	2	in	in	ADP
ejpam-6685	450	3	disease	disease	NOUN
ejpam-6685	450	4	models	model	NOUN
ejpam-6685	450	5	with	with	ADP
ejpam-6685	450	6	antibody	antibody	NOUN
ejpam-6685	450	7	-	-	PUNCT
ejpam-6685	450	8	dependent	dependent	ADJ
ejpam-6685	450	9	enhancement	enhancement	NOUN
ejpam-6685	450	10	.	.	PUNCT
ejpam-6685	451	1	mathematical	mathematical	ADJ
ejpam-6685	451	2	biosciences	bioscience	NOUN
ejpam-6685	451	3	,	,	PUNCT
ejpam-6685	451	4	211(2):265–281	211(2):265–281	NUM
ejpam-6685	451	5	,	,	PUNCT
ejpam-6685	451	6	2008	2008	NUM
ejpam-6685	451	7	.	.	PUNCT
ejpam-6685	452	1	[	[	X
ejpam-6685	452	2	24	24	NUM
ejpam-6685	452	3	]	]	PUNCT
ejpam-6685	452	4	k.	k.	PROPN
ejpam-6685	452	5	w.	w.	PROPN
ejpam-6685	452	6	blayneh	blayneh	PROPN
ejpam-6685	452	7	,	,	PUNCT
ejpam-6685	452	8	a.	a.	PROPN
ejpam-6685	452	9	b.	b.	PROPN
ejpam-6685	452	10	gumel	gumel	PROPN
ejpam-6685	452	11	,	,	PUNCT
ejpam-6685	452	12	s.	s.	PROPN
ejpam-6685	452	13	lenhart	lenhart	PROPN
ejpam-6685	452	14	,	,	PUNCT
ejpam-6685	452	15	and	and	CCONJ
ejpam-6685	452	16	t.	t.	PROPN
ejpam-6685	452	17	clayton	clayton	PROPN
ejpam-6685	452	18	.	.	PUNCT
ejpam-6685	453	1	backward	backward	ADJ
ejpam-6685	453	2	bifurcation	bifurcation	NOUN
ejpam-6685	453	3	and	and	CCONJ
ejpam-6685	453	4	optimal	optimal	ADJ
ejpam-6685	453	5	control	control	NOUN
ejpam-6685	453	6	in	in	ADP
ejpam-6685	453	7	transmission	transmission	NOUN
ejpam-6685	453	8	dynamics	dynamic	NOUN
ejpam-6685	453	9	of	of	ADP
ejpam-6685	453	10	west	west	PROPN
ejpam-6685	453	11	nile	nile	PROPN
ejpam-6685	453	12	virus	virus	PROPN
ejpam-6685	453	13	.	.	PUNCT
ejpam-6685	454	1	bulletin	bulletin	NOUN
ejpam-6685	454	2	of	of	ADP
ejpam-6685	454	3	mathematical	mathematical	ADJ
ejpam-6685	454	4	biology	biology	NOUN
ejpam-6685	454	5	,	,	PUNCT
ejpam-6685	454	6	72(4):1006–1028	72(4):1006–1028	NUM
ejpam-6685	454	7	,	,	PUNCT
ejpam-6685	454	8	2010	2010	NUM
ejpam-6685	454	9	.	.	PUNCT
ejpam-6685	455	1	[	[	X
ejpam-6685	455	2	25	25	NUM
ejpam-6685	455	3	]	]	X
ejpam-6685	455	4	d.	d.	PROPN
ejpam-6685	455	5	moulay	moulay	PROPN
ejpam-6685	455	6	,	,	PUNCT
ejpam-6685	455	7	m.	m.	NOUN
ejpam-6685	455	8	a.	a.	PROPN
ejpam-6685	455	9	aziz	aziz	PROPN
ejpam-6685	455	10	-	-	PUNCT
ejpam-6685	455	11	alaoui	alaoui	PROPN
ejpam-6685	455	12	,	,	PUNCT
ejpam-6685	455	13	and	and	CCONJ
ejpam-6685	455	14	m.	m.	NOUN
ejpam-6685	455	15	cadivel	cadivel	PROPN
ejpam-6685	455	16	.	.	PUNCT
ejpam-6685	456	1	the	the	DET
ejpam-6685	456	2	chikungunya	chikungunya	NOUN
ejpam-6685	456	3	disease	disease	NOUN
ejpam-6685	456	4	:	:	PUNCT
ejpam-6685	456	5	modeling	modeling	NOUN
ejpam-6685	456	6	,	,	PUNCT
ejpam-6685	456	7	vector	vector	NOUN
ejpam-6685	456	8	and	and	CCONJ
ejpam-6685	456	9	transmission	transmission	NOUN
ejpam-6685	456	10	global	global	ADJ
ejpam-6685	456	11	dynamics	dynamic	NOUN
ejpam-6685	456	12	.	.	PUNCT
ejpam-6685	457	1	mathematical	mathematical	ADJ
ejpam-6685	457	2	biosciences	bioscience	NOUN
ejpam-6685	457	3	,	,	PUNCT
ejpam-6685	457	4	229(1):50–63	229(1):50–63	NUM
ejpam-6685	457	5	,	,	PUNCT
ejpam-6685	457	6	2011	2011	NUM
ejpam-6685	457	7	.	.	PUNCT
ejpam-6685	458	1	[	[	X
ejpam-6685	458	2	26	26	NUM
ejpam-6685	458	3	]	]	X
ejpam-6685	458	4	d.	d.	PROPN
ejpam-6685	458	5	aldila	aldila	PROPN
ejpam-6685	458	6	,	,	PUNCT
ejpam-6685	458	7	t.	t.	PROPN
ejpam-6685	458	8	götz	götz	PROPN
ejpam-6685	458	9	,	,	PUNCT
ejpam-6685	458	10	and	and	CCONJ
ejpam-6685	458	11	e.	e.	PROPN
ejpam-6685	458	12	soewono	soewono	PROPN
ejpam-6685	458	13	.	.	PUNCT
ejpam-6685	459	1	an	an	DET
ejpam-6685	459	2	optimal	optimal	ADJ
ejpam-6685	459	3	control	control	NOUN
ejpam-6685	459	4	problem	problem	NOUN
ejpam-6685	459	5	arising	arise	VERB
ejpam-6685	459	6	from	from	ADP
ejpam-6685	459	7	a	a	DET
ejpam-6685	459	8	dengue	dengue	NOUN
ejpam-6685	459	9	disease	disease	NOUN
ejpam-6685	459	10	transmission	transmission	NOUN
ejpam-6685	459	11	model	model	NOUN
ejpam-6685	459	12	.	.	PUNCT
ejpam-6685	460	1	mathematical	mathematical	ADJ
ejpam-6685	460	2	biosciences	bioscience	NOUN
ejpam-6685	460	3	,	,	PUNCT
ejpam-6685	460	4	242(1):9–16	242(1):9–16	PROPN
ejpam-6685	460	5	,	,	PUNCT
ejpam-6685	460	6	2013	2013	NUM
ejpam-6685	460	7	.	.	PUNCT
ejpam-6685	461	1	[	[	X
ejpam-6685	461	2	27	27	NUM
ejpam-6685	461	3	]	]	X
ejpam-6685	461	4	h.	h.	PROPN
ejpam-6685	461	5	s.	s.	PROPN
ejpam-6685	461	6	rodrigues	rodrigues	PROPN
ejpam-6685	461	7	,	,	PUNCT
ejpam-6685	461	8	m.	m.	NOUN
ejpam-6685	461	9	t.	t.	PROPN
ejpam-6685	461	10	monteiro	monteiro	PROPN
ejpam-6685	461	11	,	,	PUNCT
ejpam-6685	461	12	and	and	CCONJ
ejpam-6685	461	13	d.	d.	PROPN
ejpam-6685	461	14	f.	f.	PROPN
ejpam-6685	461	15	torres	torres	PROPN
ejpam-6685	461	16	.	.	PUNCT
ejpam-6685	462	1	vaccination	vaccination	NOUN
ejpam-6685	462	2	models	model	NOUN
ejpam-6685	462	3	and	and	CCONJ
ejpam-6685	462	4	optimal	optimal	ADJ
ejpam-6685	462	5	control	control	NOUN
ejpam-6685	462	6	strategies	strategy	NOUN
ejpam-6685	462	7	to	to	ADP
ejpam-6685	462	8	dengue	dengue	NOUN
ejpam-6685	462	9	.	.	PUNCT
ejpam-6685	463	1	mathematical	mathematical	ADJ
ejpam-6685	463	2	biosciences	bioscience	NOUN
ejpam-6685	463	3	,	,	PUNCT
ejpam-6685	463	4	247:1–12	247:1–12	NUM
ejpam-6685	463	5	,	,	PUNCT
ejpam-6685	463	6	2014	2014	NUM
ejpam-6685	463	7	.	.	PUNCT
ejpam-6685	464	1	[	[	X
ejpam-6685	464	2	28	28	NUM
ejpam-6685	464	3	]	]	X
ejpam-6685	464	4	w.	w.	PROPN
ejpam-6685	464	5	o.	o.	PROPN
ejpam-6685	464	6	dias	dias	PROPN
ejpam-6685	464	7	,	,	PUNCT
ejpam-6685	464	8	e.	e.	PROPN
ejpam-6685	464	9	f.	f.	PROPN
ejpam-6685	464	10	wanner	wanner	PROPN
ejpam-6685	464	11	,	,	PUNCT
ejpam-6685	464	12	and	and	CCONJ
ejpam-6685	464	13	r.	r.	PROPN
ejpam-6685	464	14	cardoso	cardoso	PROPN
ejpam-6685	464	15	.	.	PUNCT
ejpam-6685	465	1	a	a	DET
ejpam-6685	465	2	multi	multi	ADJ
ejpam-6685	465	3	objective	objective	ADJ
ejpam-6685	465	4	optimization	optimization	NOUN
ejpam-6685	465	5	approach	approach	NOUN
ejpam-6685	465	6	for	for	ADP
ejpam-6685	465	7	combating	combat	VERB
ejpam-6685	465	8	aedes	aedes	PROPN
ejpam-6685	465	9	aegypti	aegypti	VERB
ejpam-6685	465	10	using	use	VERB
ejpam-6685	465	11	chemical	chemical	NOUN
ejpam-6685	465	12	and	and	CCONJ
ejpam-6685	465	13	biological	biological	ADJ
ejpam-6685	465	14	alternated	alternated	ADJ
ejpam-6685	465	15	step	step	NOUN
ejpam-6685	465	16	-	-	PUNCT
ejpam-6685	465	17	size	size	NOUN
ejpam-6685	465	18	control	control	NOUN
ejpam-6685	465	19	.	.	PUNCT
ejpam-6685	466	1	mathematical	mathematical	ADJ
ejpam-6685	466	2	biosciences	bioscience	NOUN
ejpam-6685	466	3	,	,	PUNCT
ejpam-6685	466	4	269:37–47	269:37–47	NUM
ejpam-6685	466	5	,	,	PUNCT
ejpam-6685	466	6	2015	2015	NUM
ejpam-6685	466	7	.	.	PUNCT
ejpam-6685	467	1	[	[	X
ejpam-6685	467	2	29	29	NUM
ejpam-6685	467	3	]	]	X
ejpam-6685	467	4	r.	r.	PROPN
ejpam-6685	467	5	jan	jan	PROPN
ejpam-6685	467	6	,	,	PUNCT
ejpam-6685	467	7	z.	z.	PROPN
ejpam-6685	467	8	shah	shah	PROPN
ejpam-6685	467	9	,	,	PUNCT
ejpam-6685	467	10	n.	n.	PROPN
ejpam-6685	467	11	vrinceanu	vrinceanu	PROPN
ejpam-6685	467	12	,	,	PUNCT
ejpam-6685	467	13	m.	m.	PROPN
ejpam-6685	467	14	h.	h.	PROPN
ejpam-6685	467	15	alshehri	alshehri	PROPN
ejpam-6685	467	16	,	,	PUNCT
ejpam-6685	467	17	n.	n.	PROPN
ejpam-6685	467	18	n.	n.	PROPN
ejpam-6685	467	19	a.	a.	PROPN
ejpam-6685	467	20	razak	razak	PROPN
ejpam-6685	467	21	,	,	PUNCT
ejpam-6685	467	22	and	and	CCONJ
ejpam-6685	467	23	m.	m.	NOUN
ejpam-6685	467	24	racheriu	racheriu	PROPN
ejpam-6685	467	25	.	.	PUNCT
ejpam-6685	468	1	fractional	fractional	ADJ
ejpam-6685	468	2	view	view	NOUN
ejpam-6685	468	3	analysis	analysis	NOUN
ejpam-6685	468	4	of	of	ADP
ejpam-6685	468	5	the	the	DET
ejpam-6685	468	6	dynamics	dynamic	NOUN
ejpam-6685	468	7	of	of	ADP
ejpam-6685	468	8	a	a	DET
ejpam-6685	468	9	plant	plant	NOUN
ejpam-6685	468	10	disease	disease	NOUN
ejpam-6685	468	11	through	through	ADP
ejpam-6685	468	12	caputo	caputo	PROPN
ejpam-6685	468	13	–	–	PUNCT
ejpam-6685	468	14	fabrizio	fabrizio	PROPN
ejpam-6685	468	15	derivative	derivative	NOUN
ejpam-6685	468	16	.	.	PUNCT
ejpam-6685	469	1	fractals	fractal	NOUN
ejpam-6685	469	2	,	,	PUNCT
ejpam-6685	469	3	page	page	NOUN
ejpam-6685	469	4	2540079	2540079	NUM
ejpam-6685	469	5	,	,	PUNCT
ejpam-6685	469	6	2025	2025	NUM
ejpam-6685	469	7	.	.	PUNCT
ejpam-6685	470	1	[	[	X
ejpam-6685	470	2	30	30	NUM
ejpam-6685	470	3	]	]	X
ejpam-6685	470	4	r.	r.	PROPN
ejpam-6685	470	5	jan	jan	PROPN
ejpam-6685	470	6	,	,	PUNCT
ejpam-6685	470	7	n.	n.	PROPN
ejpam-6685	470	8	n.	n.	PROPN
ejpam-6685	470	9	a.	a.	PROPN
ejpam-6685	470	10	razak	razak	PROPN
ejpam-6685	470	11	,	,	PUNCT
ejpam-6685	470	12	m.	m.	NOUN
ejpam-6685	470	13	alrawashdeh	alrawashdeh	NOUN
ejpam-6685	470	14	,	,	PUNCT
ejpam-6685	470	15	a.	a.	NOUN
ejpam-6685	470	16	alharbi	alharbi	NOUN
ejpam-6685	470	17	,	,	PUNCT
ejpam-6685	470	18	v.	v.	ADP
ejpam-6685	470	19	t.	t.	PROPN
ejpam-6685	470	20	pham	pham	PROPN
ejpam-6685	470	21	,	,	PUNCT
ejpam-6685	470	22	and	and	CCONJ
ejpam-6685	470	23	m.	m.	NOUN
ejpam-6685	470	24	mousa	mousa	PROPN
ejpam-6685	470	25	.	.	PUNCT
ejpam-6685	471	1	analysis	analysis	NOUN
ejpam-6685	471	2	of	of	ADP
ejpam-6685	471	3	the	the	DET
ejpam-6685	471	4	dynamics	dynamic	NOUN
ejpam-6685	471	5	of	of	ADP
ejpam-6685	471	6	hiv	hiv	PROPN
ejpam-6685	471	7	and	and	CCONJ
ejpam-6685	471	8	the	the	DET
ejpam-6685	471	9	immune	immune	ADJ
ejpam-6685	471	10	system	system	NOUN
ejpam-6685	471	11	under	under	ADP
ejpam-6685	471	12	the	the	DET
ejpam-6685	471	13	effect	effect	NOUN
ejpam-6685	471	14	of	of	ADP
ejpam-6685	471	15	drugs	drug	NOUN
ejpam-6685	471	16	through	through	ADP
ejpam-6685	471	17	a	a	DET
ejpam-6685	471	18	fractional	fractional	ADJ
ejpam-6685	471	19	framework	framework	NOUN
ejpam-6685	471	20	.	.	PUNCT
ejpam-6685	472	1	fractals	fractal	NOUN
ejpam-6685	472	2	,	,	PUNCT
ejpam-6685	472	3	page	page	NOUN
ejpam-6685	472	4	2540148	2540148	NUM
ejpam-6685	472	5	,	,	PUNCT
ejpam-6685	472	6	2025	2025	NUM
ejpam-6685	472	7	.	.	PUNCT
ejpam-6685	473	1	[	[	X
ejpam-6685	473	2	31	31	NUM
ejpam-6685	473	3	]	]	PUNCT
ejpam-6685	473	4	z.	z.	PROPN
ejpam-6685	473	5	shah	shah	PROPN
ejpam-6685	473	6	,	,	PUNCT
ejpam-6685	473	7	n.	n.	PROPN
ejpam-6685	473	8	ullah	ullah	PROPN
ejpam-6685	473	9	,	,	PUNCT
ejpam-6685	473	10	r.	r.	PROPN
ejpam-6685	473	11	jan	jan	PROPN
ejpam-6685	473	12	,	,	PUNCT
ejpam-6685	473	13	m.	m.	PROPN
ejpam-6685	473	14	h.	h.	PROPN
ejpam-6685	473	15	alshehri	alshehri	PROPN
ejpam-6685	473	16	,	,	PUNCT
ejpam-6685	473	17	n.	n.	PROPN
ejpam-6685	473	18	vrinceanu	vrinceanu	PROPN
ejpam-6685	473	19	,	,	PUNCT
ejpam-6685	473	20	e.	e.	PROPN
ejpam-6685	473	21	antonescu	antonescu	PROPN
ejpam-6685	473	22	,	,	PUNCT
ejpam-6685	473	23	and	and	CCONJ
ejpam-6685	473	24	m.	m.	NOUN
ejpam-6685	473	25	alsulami	alsulami	PROPN
ejpam-6685	473	26	,	,	PUNCT
ejpam-6685	473	27	r.	r.	PROPN
ejpam-6685	473	28	jan	jan	PROPN
ejpam-6685	473	29	,	,	PUNCT
ejpam-6685	473	30	e.	e.	PROPN
ejpam-6685	473	31	antonescu	antonescu	PROPN
ejpam-6685	473	32	/	/	SYM
ejpam-6685	473	33	eur	eur	PROPN
ejpam-6685	473	34	.	.	PUNCT
ejpam-6685	474	1	j.	j.	PROPN
ejpam-6685	474	2	pure	pure	PROPN
ejpam-6685	474	3	appl	appl	PROPN
ejpam-6685	474	4	.	.	PROPN
ejpam-6685	474	5	math	math	PROPN
ejpam-6685	474	6	,	,	PUNCT
ejpam-6685	474	7	18	18	NUM
ejpam-6685	474	8	(	(	PUNCT
ejpam-6685	474	9	3	3	NUM
ejpam-6685	474	10	)	)	PUNCT
ejpam-6685	474	11	(	(	PUNCT
ejpam-6685	474	12	2025	2025	NUM
ejpam-6685	474	13	)	)	PUNCT
ejpam-6685	474	14	,	,	PUNCT
ejpam-6685	474	15	6685	6685	NUM
ejpam-6685	474	16	19	19	NUM
ejpam-6685	474	17	of	of	ADP
ejpam-6685	474	18	19	19	NUM
ejpam-6685	474	19	m.	m.	NOUN
ejpam-6685	474	20	farhan	farhan	PROPN
ejpam-6685	474	21	.	.	PUNCT
ejpam-6685	475	1	existence	existence	NOUN
ejpam-6685	475	2	and	and	CCONJ
ejpam-6685	475	3	sensitivity	sensitivity	NOUN
ejpam-6685	475	4	analysis	analysis	NOUN
ejpam-6685	475	5	of	of	ADP
ejpam-6685	475	6	a	a	DET
ejpam-6685	475	7	caputo	caputo	PROPN
ejpam-6685	475	8	-	-	PUNCT
ejpam-6685	475	9	fabrizio	fabrizio	PROPN
ejpam-6685	475	10	fractional	fractional	ADJ
ejpam-6685	475	11	order	order	NOUN
ejpam-6685	475	12	vector	vector	NOUN
ejpam-6685	475	13	-	-	PUNCT
ejpam-6685	475	14	borne	bear	VERB
ejpam-6685	475	15	disease	disease	NOUN
ejpam-6685	475	16	model	model	NOUN
ejpam-6685	475	17	.	.	PUNCT
ejpam-6685	476	1	european	european	PROPN
ejpam-6685	476	2	journal	journal	PROPN
ejpam-6685	476	3	of	of	ADP
ejpam-6685	476	4	pure	pure	ADJ
ejpam-6685	476	5	and	and	CCONJ
ejpam-6685	476	6	applied	applied	ADJ
ejpam-6685	476	7	mathematics	mathematic	NOUN
ejpam-6685	476	8	,	,	PUNCT
ejpam-6685	476	9	18(2):5687–5687	18(2):5687–5687	PROPN
ejpam-6685	476	10	,	,	PUNCT
ejpam-6685	476	11	2025	2025	NUM
ejpam-6685	476	12	.	.	PUNCT
ejpam-6685	477	1	[	[	X
ejpam-6685	477	2	32	32	NUM
ejpam-6685	477	3	]	]	PUNCT
ejpam-6685	477	4	s.	s.	PROPN
ejpam-6685	477	5	abbas	abbas	PROPN
ejpam-6685	477	6	,	,	PUNCT
ejpam-6685	477	7	s.	s.	PROPN
ejpam-6685	477	8	saleem	saleem	PROPN
ejpam-6685	477	9	,	,	PUNCT
ejpam-6685	477	10	m.	m.	PROPN
ejpam-6685	477	11	fatima	fatima	PROPN
ejpam-6685	477	12	,	,	PUNCT
ejpam-6685	477	13	i.	i.	PROPN
ejpam-6685	477	14	l.	l.	PROPN
ejpam-6685	477	15	popa	popa	PROPN
ejpam-6685	477	16	,	,	PUNCT
ejpam-6685	477	17	m.	m.	NOUN
ejpam-6685	477	18	nazar	nazar	PROPN
ejpam-6685	477	19	,	,	PUNCT
ejpam-6685	477	20	g.	g.	PROPN
ejpam-6685	477	21	r.	r.	PROPN
ejpam-6685	477	22	elnaggar	elnaggar	PROPN
ejpam-6685	477	23	,	,	PUNCT
ejpam-6685	477	24	and	and	CCONJ
ejpam-6685	477	25	r.	r.	PROPN
ejpam-6685	477	26	jan	jan	PROPN
ejpam-6685	477	27	.	.	PROPN
ejpam-6685	477	28	slip	slip	NOUN
ejpam-6685	477	29	and	and	CCONJ
ejpam-6685	477	30	thermal	thermal	ADJ
ejpam-6685	477	31	effects	effect	NOUN
ejpam-6685	477	32	on	on	ADP
ejpam-6685	477	33	mhd	mhd	PROPN
ejpam-6685	477	34	fractional	fractional	PROPN
ejpam-6685	477	35	jeffrey	jeffrey	PROPN
ejpam-6685	477	36	nanofluid	nanofluid	PROPN
ejpam-6685	477	37	flow	flow	NOUN
ejpam-6685	477	38	.	.	PUNCT
ejpam-6685	478	1	journal	journal	NOUN
ejpam-6685	478	2	of	of	ADP
ejpam-6685	478	3	radiation	radiation	NOUN
ejpam-6685	478	4	research	research	NOUN
ejpam-6685	478	5	and	and	CCONJ
ejpam-6685	478	6	applied	apply	VERB
ejpam-6685	478	7	sciences	science	NOUN
ejpam-6685	478	8	,	,	PUNCT
ejpam-6685	478	9	18(3):101688	18(3):101688	NUM
ejpam-6685	478	10	,	,	PUNCT
ejpam-6685	478	11	2025	2025	NUM
ejpam-6685	478	12	.	.	PUNCT
ejpam-6685	479	1	[	[	X
ejpam-6685	479	2	33	33	NUM
ejpam-6685	479	3	]	]	PUNCT
ejpam-6685	479	4	i.	i.	PROPN
ejpam-6685	479	5	ahmad	ahmad	PROPN
ejpam-6685	479	6	,	,	PUNCT
ejpam-6685	479	7	r.	r.	PROPN
ejpam-6685	479	8	jan	jan	PROPN
ejpam-6685	479	9	,	,	PUNCT
ejpam-6685	479	10	n.	n.	PROPN
ejpam-6685	479	11	n.	n.	PROPN
ejpam-6685	479	12	a.	a.	PROPN
ejpam-6685	479	13	razak	razak	PROPN
ejpam-6685	479	14	,	,	PUNCT
ejpam-6685	479	15	a.	a.	PROPN
ejpam-6685	479	16	khan	khan	PROPN
ejpam-6685	479	17	,	,	PUNCT
ejpam-6685	479	18	and	and	CCONJ
ejpam-6685	479	19	t.	t.	PROPN
ejpam-6685	479	20	abdeljawad	abdeljawad	PROPN
ejpam-6685	479	21	.	.	PUNCT
ejpam-6685	480	1	numerical	numerical	PROPN
ejpam-6685	480	2	investigation	investigation	NOUN
ejpam-6685	480	3	of	of	ADP
ejpam-6685	480	4	the	the	DET
ejpam-6685	480	5	dynamical	dynamical	ADJ
ejpam-6685	480	6	behavior	behavior	NOUN
ejpam-6685	480	7	of	of	ADP
ejpam-6685	480	8	hepatitis	hepatitis	PROPN
ejpam-6685	480	9	b	b	PROPN
ejpam-6685	480	10	virus	virus	NOUN
ejpam-6685	480	11	via	via	ADP
ejpam-6685	480	12	caputo	caputo	PROPN
ejpam-6685	480	13	-	-	PUNCT
ejpam-6685	480	14	fabrizio	fabrizio	PROPN
ejpam-6685	480	15	fractional	fractional	PROPN
ejpam-6685	480	16	derivative	derivative	NOUN
ejpam-6685	480	17	.	.	PUNCT
ejpam-6685	481	1	european	european	PROPN
ejpam-6685	481	2	journal	journal	PROPN
ejpam-6685	481	3	of	of	ADP
ejpam-6685	481	4	pure	pure	ADJ
ejpam-6685	481	5	and	and	CCONJ
ejpam-6685	481	6	applied	applied	ADJ
ejpam-6685	481	7	mathematics	mathematic	NOUN
ejpam-6685	481	8	,	,	PUNCT
ejpam-6685	481	9	18(1):5509–5509	18(1):5509–5509	NUM
ejpam-6685	481	10	,	,	PUNCT
ejpam-6685	481	11	2025	2025	NUM
ejpam-6685	481	12	.	.	PUNCT
ejpam-6685	482	1	[	[	X
ejpam-6685	482	2	34	34	NUM
ejpam-6685	482	3	]	]	PUNCT
ejpam-6685	482	4	z.	z.	PROPN
ejpam-6685	482	5	u.	u.	PROPN
ejpam-6685	482	6	rehman	rehman	PROPN
ejpam-6685	482	7	,	,	PUNCT
ejpam-6685	482	8	s.	s.	PROPN
ejpam-6685	482	9	boulaaras	boulaaras	PROPN
ejpam-6685	482	10	,	,	PUNCT
ejpam-6685	482	11	r.	r.	PROPN
ejpam-6685	482	12	jan	jan	PROPN
ejpam-6685	482	13	,	,	PUNCT
ejpam-6685	482	14	i.	i.	PROPN
ejpam-6685	482	15	ahmad	ahmad	PROPN
ejpam-6685	482	16	,	,	PUNCT
ejpam-6685	482	17	and	and	CCONJ
ejpam-6685	482	18	s.	s.	PROPN
ejpam-6685	482	19	bahramand	bahramand	PROPN
ejpam-6685	482	20	.	.	PUNCT
ejpam-6685	483	1	computational	computational	ADJ
ejpam-6685	483	2	analysis	analysis	NOUN
ejpam-6685	483	3	of	of	ADP
ejpam-6685	483	4	financial	financial	ADJ
ejpam-6685	483	5	system	system	NOUN
ejpam-6685	483	6	through	through	ADP
ejpam-6685	483	7	non	non	ADJ
ejpam-6685	483	8	-	-	ADJ
ejpam-6685	483	9	integer	integer	ADJ
ejpam-6685	483	10	derivative	derivative	NOUN
ejpam-6685	483	11	.	.	PUNCT
ejpam-6685	484	1	journal	journal	PROPN
ejpam-6685	484	2	of	of	ADP
ejpam-6685	484	3	computational	computational	ADJ
ejpam-6685	484	4	science	science	NOUN
ejpam-6685	484	5	,	,	PUNCT
ejpam-6685	484	6	75:102204	75:102204	NUM
ejpam-6685	484	7	,	,	PUNCT
ejpam-6685	484	8	2024	2024	NUM
ejpam-6685	484	9	.	.	PUNCT
ejpam-6685	485	1	[	[	X
ejpam-6685	485	2	35	35	NUM
ejpam-6685	485	3	]	]	PUNCT
ejpam-6685	485	4	a.	a.	NOUN
ejpam-6685	485	5	atangana	atangana	PROPN
ejpam-6685	485	6	.	.	PUNCT
ejpam-6685	486	1	fractal	fractal	ADJ
ejpam-6685	486	2	-	-	PUNCT
ejpam-6685	486	3	fractional	fractional	ADJ
ejpam-6685	486	4	differentiation	differentiation	NOUN
ejpam-6685	486	5	and	and	CCONJ
ejpam-6685	486	6	integration	integration	NOUN
ejpam-6685	486	7	:	:	PUNCT
ejpam-6685	486	8	connecting	connect	VERB
ejpam-6685	486	9	fractal	fractal	ADJ
ejpam-6685	486	10	calculus	calculus	NOUN
ejpam-6685	486	11	and	and	CCONJ
ejpam-6685	486	12	fractional	fractional	ADJ
ejpam-6685	486	13	calculus	calculus	NOUN
ejpam-6685	486	14	to	to	PART
ejpam-6685	486	15	predict	predict	VERB
ejpam-6685	486	16	complex	complex	ADJ
ejpam-6685	486	17	system	system	NOUN
ejpam-6685	486	18	.	.	PUNCT
ejpam-6685	487	1	chaos	chaos	NOUN
ejpam-6685	487	2	,	,	PUNCT
ejpam-6685	487	3	solitons	soliton	NOUN
ejpam-6685	487	4	&	&	CCONJ
ejpam-6685	487	5	fractals	fractal	NOUN
ejpam-6685	487	6	,	,	PUNCT
ejpam-6685	487	7	102:396–406	102:396–406	NUM
ejpam-6685	487	8	,	,	PUNCT
ejpam-6685	487	9	2017	2017	NUM
ejpam-6685	487	10	.	.	PUNCT
ejpam-6685	488	1	[	[	X
ejpam-6685	488	2	36	36	NUM
ejpam-6685	488	3	]	]	PUNCT
ejpam-6685	488	4	a.	a.	NOUN
ejpam-6685	488	5	atangana	atangana	PROPN
ejpam-6685	488	6	and	and	CCONJ
ejpam-6685	488	7	s.	s.	PROPN
ejpam-6685	488	8	qureshi	qureshi	PROPN
ejpam-6685	488	9	.	.	PUNCT
ejpam-6685	489	1	modeling	model	VERB
ejpam-6685	489	2	attractors	attractor	NOUN
ejpam-6685	489	3	of	of	ADP
ejpam-6685	489	4	chaotic	chaotic	ADJ
ejpam-6685	489	5	dynamical	dynamical	ADJ
ejpam-6685	489	6	systems	system	NOUN
ejpam-6685	489	7	with	with	ADP
ejpam-6685	489	8	fractal	fractal	ADJ
ejpam-6685	489	9	-	-	PUNCT
ejpam-6685	489	10	fractional	fractional	ADJ
ejpam-6685	489	11	operators	operator	NOUN
ejpam-6685	489	12	.	.	PUNCT
ejpam-6685	490	1	chaos	chaos	NOUN
ejpam-6685	490	2	,	,	PUNCT
ejpam-6685	490	3	solitons	soliton	NOUN
ejpam-6685	490	4	&	&	CCONJ
ejpam-6685	490	5	fractals	fractal	NOUN
ejpam-6685	490	6	,	,	PUNCT
ejpam-6685	490	7	123:320–337	123:320–337	NUM
ejpam-6685	490	8	,	,	PUNCT
ejpam-6685	490	9	2019	2019	NUM
ejpam-6685	490	10	.	.	PUNCT
ejpam-6685	491	1	[	[	X
ejpam-6685	491	2	37	37	NUM
ejpam-6685	491	3	]	]	X
ejpam-6685	491	4	r.	r.	PROPN
ejpam-6685	491	5	jan	jan	PROPN
ejpam-6685	491	6	,	,	PUNCT
ejpam-6685	491	7	m.	m.	NOUN
ejpam-6685	491	8	a.	a.	PROPN
ejpam-6685	491	9	khan	khan	PROPN
ejpam-6685	491	10	,	,	PUNCT
ejpam-6685	491	11	and	and	CCONJ
ejpam-6685	491	12	j.	j.	PROPN
ejpam-6685	491	13	f.	f.	PROPN
ejpam-6685	491	14	gómez	gómez	PROPN
ejpam-6685	491	15	-	-	PUNCT
ejpam-6685	491	16	aguilar	aguilar	ADJ
ejpam-6685	491	17	.	.	PUNCT
ejpam-6685	492	1	asymptomatic	asymptomatic	ADJ
ejpam-6685	492	2	carriers	carrier	NOUN
ejpam-6685	492	3	in	in	ADP
ejpam-6685	492	4	transmission	transmission	NOUN
ejpam-6685	492	5	dynamics	dynamic	NOUN
ejpam-6685	492	6	of	of	ADP
ejpam-6685	492	7	dengue	dengue	NOUN
ejpam-6685	492	8	with	with	ADP
ejpam-6685	492	9	control	control	NOUN
ejpam-6685	492	10	interventions	intervention	NOUN
ejpam-6685	492	11	.	.	PUNCT
ejpam-6685	493	1	optimal	optimal	ADJ
ejpam-6685	493	2	control	control	NOUN
ejpam-6685	493	3	applications	application	NOUN
ejpam-6685	493	4	and	and	CCONJ
ejpam-6685	493	5	methods	method	NOUN
ejpam-6685	493	6	,	,	PUNCT
ejpam-6685	493	7	41(2):430–447	41(2):430–447	NOUN
ejpam-6685	493	8	,	,	PUNCT
ejpam-6685	493	9	2020	2020	NUM
ejpam-6685	493	10	.	.	PUNCT
ejpam-6685	494	1	[	[	X
ejpam-6685	494	2	38	38	NUM
ejpam-6685	494	3	]	]	PUNCT
ejpam-6685	494	4	s.	s.	PROPN
ejpam-6685	494	5	boulaaras	boulaaras	PROPN
ejpam-6685	494	6	,	,	PUNCT
ejpam-6685	494	7	m.	m.	PROPN
ejpam-6685	494	8	yavuz	yavuz	PROPN
ejpam-6685	494	9	,	,	PUNCT
ejpam-6685	494	10	y.	y.	PROPN
ejpam-6685	494	11	alrashedi	alrashedi	PROPN
ejpam-6685	494	12	,	,	PUNCT
ejpam-6685	494	13	s.	s.	PROPN
ejpam-6685	494	14	bahramand	bahramand	PROPN
ejpam-6685	494	15	,	,	PUNCT
ejpam-6685	494	16	and	and	CCONJ
ejpam-6685	494	17	r.	r.	PROPN
ejpam-6685	494	18	jan	jan	PROPN
ejpam-6685	494	19	.	.	PROPN
ejpam-6685	495	1	modeling	model	VERB
ejpam-6685	495	2	the	the	DET
ejpam-6685	495	3	co	co	NOUN
ejpam-6685	495	4	-	-	NOUN
ejpam-6685	495	5	dynamics	dynamic	NOUN
ejpam-6685	495	6	of	of	ADP
ejpam-6685	495	7	vector	vector	NOUN
ejpam-6685	495	8	-	-	PUNCT
ejpam-6685	495	9	borne	bear	VERB
ejpam-6685	495	10	infections	infection	NOUN
ejpam-6685	495	11	with	with	ADP
ejpam-6685	495	12	the	the	DET
ejpam-6685	495	13	application	application	NOUN
ejpam-6685	495	14	of	of	ADP
ejpam-6685	495	15	optimal	optimal	ADJ
ejpam-6685	495	16	control	control	NOUN
ejpam-6685	495	17	theory	theory	NOUN
ejpam-6685	495	18	.	.	PUNCT
ejpam-6685	496	1	discrete	discrete	ADJ
ejpam-6685	496	2	and	and	CCONJ
ejpam-6685	496	3	continuous	continuous	ADJ
ejpam-6685	496	4	dynamical	dynamical	ADJ
ejpam-6685	496	5	systems	system	NOUN
ejpam-6685	496	6	series	series	NOUN
ejpam-6685	496	7	s	s	PART
ejpam-6685	496	8	,	,	PUNCT
ejpam-6685	496	9	18(5):1331–1352	18(5):1331–1352	NUM
ejpam-6685	496	10	,	,	PUNCT
ejpam-6685	496	11	2025	2025	NUM
ejpam-6685	496	12	.	.	PUNCT