id	sid	tid	token	lemma	pos
ejpam-6884	1	1	european	european	PROPN
ejpam-6884	1	2	journal	journal	PROPN
ejpam-6884	1	3	of	of	ADP
ejpam-6884	1	4	pure	pure	ADJ
ejpam-6884	1	5	and	and	CCONJ
ejpam-6884	1	6	applied	applied	ADJ
ejpam-6884	1	7	mathematics	mathematic	NOUN
ejpam-6884	1	8	2025	2025	NUM
ejpam-6884	1	9	,	,	PUNCT
ejpam-6884	1	10	vol	vol	NOUN
ejpam-6884	1	11	.	.	PROPN
ejpam-6884	1	12	18	18	NUM
ejpam-6884	1	13	,	,	PUNCT
ejpam-6884	1	14	issue	issue	NOUN
ejpam-6884	1	15	4	4	NUM
ejpam-6884	1	16	,	,	PUNCT
ejpam-6884	1	17	article	article	NOUN
ejpam-6884	1	18	number	number	NOUN
ejpam-6884	1	19	6884	6884	NUM
ejpam-6884	1	20	issn	issn	PROPN
ejpam-6884	1	21	1307	1307	NUM
ejpam-6884	1	22	-	-	SYM
ejpam-6884	1	23	5543	5543	NUM
ejpam-6884	1	24	–	–	PUNCT
ejpam-6884	1	25	ejpam.com	ejpam.com	X
ejpam-6884	1	26	published	publish	VERB
ejpam-6884	1	27	by	by	ADP
ejpam-6884	1	28	new	new	PROPN
ejpam-6884	1	29	york	york	PROPN
ejpam-6884	1	30	business	business	PROPN
ejpam-6884	1	31	global	global	ADJ
ejpam-6884	1	32	fuzzy	fuzzy	ADJ
ejpam-6884	1	33	fractal	fractal	ADJ
ejpam-6884	1	34	-	-	PUNCT
ejpam-6884	1	35	fractional	fractional	ADJ
ejpam-6884	1	36	derivative	derivative	NOUN
ejpam-6884	1	37	-	-	PUNCT
ejpam-6884	1	38	based	base	VERB
ejpam-6884	1	39	modelling	modelling	NOUN
ejpam-6884	1	40	and	and	CCONJ
ejpam-6884	1	41	analysis	analysis	NOUN
ejpam-6884	1	42	of	of	ADP
ejpam-6884	1	43	monkeypox	monkeypox	NOUN
ejpam-6884	1	44	transmission	transmission	NOUN
ejpam-6884	1	45	vediyappan	vediyappan	ADJ
ejpam-6884	1	46	govindan1	govindan1	NOUN
ejpam-6884	1	47	,	,	PUNCT
ejpam-6884	1	48	busayamas	busayamas	PROPN
ejpam-6884	1	49	pimpunchat2,∗	pimpunchat2,∗	PROPN
ejpam-6884	1	50	,	,	PUNCT
ejpam-6884	1	51	kamran3,∗	kamran3,∗	PROPN
ejpam-6884	1	52	,	,	PUNCT
ejpam-6884	1	53	mohammad	mohammad	PROPN
ejpam-6884	1	54	javad	javad	PROPN
ejpam-6884	1	55	ebadi4	ebadi4	PROPN
ejpam-6884	1	56	,	,	PUNCT
ejpam-6884	1	57	ioan	ioan	NOUN
ejpam-6884	1	58	-	-	PUNCT
ejpam-6884	1	59	lucian	lucian	PROPN
ejpam-6884	1	60	popa5,6	popa5,6	PROPN
ejpam-6884	1	61	1	1	NUM
ejpam-6884	1	62	department	department	NOUN
ejpam-6884	1	63	of	of	ADP
ejpam-6884	1	64	mathematics	mathematic	NOUN
ejpam-6884	1	65	,	,	PUNCT
ejpam-6884	1	66	hindustan	hindustan	PROPN
ejpam-6884	1	67	institute	institute	PROPN
ejpam-6884	1	68	of	of	ADP
ejpam-6884	1	69	technology	technology	PROPN
ejpam-6884	1	70	and	and	CCONJ
ejpam-6884	1	71	science	science	NOUN
ejpam-6884	1	72	,	,	PUNCT
ejpam-6884	1	73	chennai	chennai	PROPN
ejpam-6884	1	74	,	,	PUNCT
ejpam-6884	1	75	india	india	PROPN
ejpam-6884	1	76	2	2	NUM
ejpam-6884	1	77	department	department	NOUN
ejpam-6884	1	78	of	of	ADP
ejpam-6884	1	79	mathematics	mathematic	NOUN
ejpam-6884	1	80	,	,	PUNCT
ejpam-6884	1	81	school	school	NOUN
ejpam-6884	1	82	of	of	ADP
ejpam-6884	1	83	science	science	NOUN
ejpam-6884	1	84	,	,	PUNCT
ejpam-6884	1	85	king	king	PROPN
ejpam-6884	1	86	mongkut	mongkut	PROPN
ejpam-6884	1	87	’s	’s	PROPN
ejpam-6884	1	88	institute	institute	PROPN
ejpam-6884	1	89	of	of	ADP
ejpam-6884	1	90	technology	technology	PROPN
ejpam-6884	1	91	ladkrabang	ladkrabang	PROPN
ejpam-6884	1	92	(	(	PUNCT
ejpam-6884	1	93	kmitl	kmitl	PROPN
ejpam-6884	1	94	)	)	PUNCT
ejpam-6884	1	95	,	,	PUNCT
ejpam-6884	1	96	bangkok	bangkok	PROPN
ejpam-6884	1	97	,	,	PUNCT
ejpam-6884	1	98	10520	10520	NUM
ejpam-6884	1	99	,	,	PUNCT
ejpam-6884	1	100	thailand	thailand	PROPN
ejpam-6884	1	101	3	3	NUM
ejpam-6884	1	102	department	department	PROPN
ejpam-6884	1	103	of	of	ADP
ejpam-6884	1	104	mathematics	mathematics	PROPN
ejpam-6884	1	105	,	,	PUNCT
ejpam-6884	1	106	islamia	islamia	PROPN
ejpam-6884	1	107	college	college	PROPN
ejpam-6884	1	108	peshawar	peshawar	PROPN
ejpam-6884	1	109	,	,	PUNCT
ejpam-6884	1	110	peshawar	peshawar	PROPN
ejpam-6884	1	111	25120	25120	NUM
ejpam-6884	1	112	,	,	PUNCT
ejpam-6884	1	113	khyber	khyber	PROPN
ejpam-6884	1	114	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6884	1	115	,	,	PUNCT
ejpam-6884	1	116	pakistan	pakistan	PROPN
ejpam-6884	1	117	4	4	NUM
ejpam-6884	1	118	department	department	NOUN
ejpam-6884	1	119	of	of	ADP
ejpam-6884	1	120	mathematics	mathematic	NOUN
ejpam-6884	1	121	,	,	PUNCT
ejpam-6884	1	122	chabahar	chabahar	PROPN
ejpam-6884	1	123	maritime	maritime	PROPN
ejpam-6884	1	124	university	university	NOUN
ejpam-6884	1	125	,	,	PUNCT
ejpam-6884	1	126	chabahar	chabahar	PROPN
ejpam-6884	1	127	,	,	PUNCT
ejpam-6884	1	128	iran	iran	PROPN
ejpam-6884	1	129	5	5	NUM
ejpam-6884	1	130	department	department	NOUN
ejpam-6884	1	131	of	of	ADP
ejpam-6884	1	132	computing	computing	NOUN
ejpam-6884	1	133	,	,	PUNCT
ejpam-6884	1	134	mathematics	mathematic	NOUN
ejpam-6884	1	135	and	and	CCONJ
ejpam-6884	1	136	electronics	electronic	NOUN
ejpam-6884	1	137	,	,	PUNCT
ejpam-6884	1	138	“	"	PUNCT
ejpam-6884	1	139	1	1	NUM
ejpam-6884	1	140	decembrie	decembrie	NOUN
ejpam-6884	1	141	1918	1918	NUM
ejpam-6884	1	142	”	"	PUNCT
ejpam-6884	1	143	university	university	PROPN
ejpam-6884	1	144	of	of	ADP
ejpam-6884	1	145	alba	alba	PROPN
ejpam-6884	1	146	iulia	iulia	PROPN
ejpam-6884	1	147	,	,	PUNCT
ejpam-6884	1	148	510009	510009	NUM
ejpam-6884	1	149	alba	alba	PROPN
ejpam-6884	1	150	iulia	iulia	PROPN
ejpam-6884	1	151	,	,	PUNCT
ejpam-6884	1	152	romania	romania	PROPN
ejpam-6884	1	153	6	6	NUM
ejpam-6884	1	154	faculty	faculty	NOUN
ejpam-6884	1	155	of	of	ADP
ejpam-6884	1	156	mathematics	mathematic	NOUN
ejpam-6884	1	157	and	and	CCONJ
ejpam-6884	1	158	computer	computer	NOUN
ejpam-6884	1	159	science	science	NOUN
ejpam-6884	1	160	,	,	PUNCT
ejpam-6884	1	161	transilvania	transilvania	PROPN
ejpam-6884	1	162	university	university	PROPN
ejpam-6884	1	163	of	of	ADP
ejpam-6884	1	164	brasov	brasov	NOUN
ejpam-6884	1	165	,	,	PUNCT
ejpam-6884	1	166	iuliu	iuliu	PROPN
ejpam-6884	1	167	maniu	maniu	PROPN
ejpam-6884	1	168	street	street	PROPN
ejpam-6884	1	169	50	50	NUM
ejpam-6884	1	170	,	,	PUNCT
ejpam-6884	1	171	500091	500091	NUM
ejpam-6884	1	172	brasov	brasov	NOUN
ejpam-6884	1	173	,	,	PUNCT
ejpam-6884	1	174	romania	romania	PROPN
ejpam-6884	1	175	abstract	abstract	NOUN
ejpam-6884	1	176	.	.	PUNCT
ejpam-6884	2	1	this	this	DET
ejpam-6884	2	2	study	study	NOUN
ejpam-6884	2	3	investigates	investigate	VERB
ejpam-6884	2	4	the	the	DET
ejpam-6884	2	5	transmission	transmission	NOUN
ejpam-6884	2	6	dynamics	dynamic	NOUN
ejpam-6884	2	7	of	of	ADP
ejpam-6884	2	8	monkeypox	monkeypox	NOUN
ejpam-6884	2	9	using	use	VERB
ejpam-6884	2	10	a	a	DET
ejpam-6884	2	11	fuzzy	fuzzy	ADJ
ejpam-6884	2	12	fractal	fractal	ADJ
ejpam-6884	2	13	fractional	fractional	ADJ
ejpam-6884	2	14	-	-	PUNCT
ejpam-6884	2	15	order	order	NOUN
ejpam-6884	2	16	mathematical	mathematical	ADJ
ejpam-6884	2	17	model	model	NOUN
ejpam-6884	2	18	.	.	PUNCT
ejpam-6884	3	1	the	the	DET
ejpam-6884	3	2	model	model	NOUN
ejpam-6884	3	3	incorporates	incorporate	VERB
ejpam-6884	3	4	fuzzy	fuzzy	ADJ
ejpam-6884	3	5	triangular	triangular	NOUN
ejpam-6884	3	6	numbers	number	NOUN
ejpam-6884	3	7	into	into	ADP
ejpam-6884	3	8	both	both	DET
ejpam-6884	3	9	system	system	NOUN
ejpam-6884	3	10	parameters	parameter	NOUN
ejpam-6884	3	11	and	and	CCONJ
ejpam-6884	3	12	initial	initial	ADJ
ejpam-6884	3	13	conditions	condition	NOUN
ejpam-6884	3	14	to	to	PART
ejpam-6884	3	15	effectively	effectively	ADV
ejpam-6884	3	16	represent	represent	VERB
ejpam-6884	3	17	uncertainty	uncertainty	NOUN
ejpam-6884	3	18	in	in	ADP
ejpam-6884	3	19	real	real	ADJ
ejpam-6884	3	20	-	-	PUNCT
ejpam-6884	3	21	world	world	NOUN
ejpam-6884	3	22	epidemiological	epidemiological	ADJ
ejpam-6884	3	23	data	datum	NOUN
ejpam-6884	3	24	.	.	PUNCT
ejpam-6884	4	1	by	by	ADP
ejpam-6884	4	2	employing	employ	VERB
ejpam-6884	4	3	fractal	fractal	ADJ
ejpam-6884	4	4	-	-	PUNCT
ejpam-6884	4	5	fractional	fractional	ADJ
ejpam-6884	4	6	derivatives	derivative	NOUN
ejpam-6884	4	7	,	,	PUNCT
ejpam-6884	4	8	the	the	DET
ejpam-6884	4	9	model	model	NOUN
ejpam-6884	4	10	captures	capture	VERB
ejpam-6884	4	11	memory	memory	NOUN
ejpam-6884	4	12	and	and	CCONJ
ejpam-6884	4	13	hereditary	hereditary	ADJ
ejpam-6884	4	14	effects	effect	NOUN
ejpam-6884	4	15	,	,	PUNCT
ejpam-6884	4	16	providing	provide	VERB
ejpam-6884	4	17	a	a	DET
ejpam-6884	4	18	more	more	ADV
ejpam-6884	4	19	accurate	accurate	ADJ
ejpam-6884	4	20	representation	representation	NOUN
ejpam-6884	4	21	of	of	ADP
ejpam-6884	4	22	disease	disease	NOUN
ejpam-6884	4	23	progression	progression	NOUN
ejpam-6884	4	24	.	.	PUNCT
ejpam-6884	5	1	the	the	DET
ejpam-6884	5	2	mathematical	mathematical	ADJ
ejpam-6884	5	3	analysis	analysis	NOUN
ejpam-6884	5	4	,	,	PUNCT
ejpam-6884	5	5	supported	support	VERB
ejpam-6884	5	6	by	by	ADP
ejpam-6884	5	7	ulam	ulam	NOUN
ejpam-6884	5	8	-	-	PUNCT
ejpam-6884	5	9	hyers	hyer	NOUN
ejpam-6884	5	10	stability	stability	NOUN
ejpam-6884	5	11	and	and	CCONJ
ejpam-6884	5	12	fixed	fix	VERB
ejpam-6884	5	13	-	-	PUNCT
ejpam-6884	5	14	point	point	NOUN
ejpam-6884	5	15	theory	theory	NOUN
ejpam-6884	5	16	,	,	PUNCT
ejpam-6884	5	17	confirms	confirm	VERB
ejpam-6884	5	18	the	the	DET
ejpam-6884	5	19	model	model	NOUN
ejpam-6884	5	20	’s	’s	PART
ejpam-6884	5	21	reliability	reliability	NOUN
ejpam-6884	5	22	.	.	PUNCT
ejpam-6884	6	1	numerical	numerical	PROPN
ejpam-6884	6	2	simulation	simulation	PROPN
ejpam-6884	6	3	reveals	reveal	VERB
ejpam-6884	6	4	the	the	DET
ejpam-6884	6	5	effects	effect	NOUN
ejpam-6884	6	6	of	of	ADP
ejpam-6884	6	7	changing	change	VERB
ejpam-6884	6	8	the	the	DET
ejpam-6884	6	9	fractional	fractional	ADJ
ejpam-6884	6	10	order	order	NOUN
ejpam-6884	6	11	and	and	CCONJ
ejpam-6884	6	12	uncertain	uncertain	ADJ
ejpam-6884	6	13	inputs	input	NOUN
ejpam-6884	6	14	on	on	ADP
ejpam-6884	6	15	the	the	DET
ejpam-6884	6	16	susceptible	susceptible	ADJ
ejpam-6884	6	17	,	,	PUNCT
ejpam-6884	6	18	exposed	expose	VERB
ejpam-6884	6	19	,	,	PUNCT
ejpam-6884	6	20	infected	infected	ADJ
ejpam-6884	6	21	,	,	PUNCT
ejpam-6884	6	22	and	and	CCONJ
ejpam-6884	6	23	recovered	recovered	ADJ
ejpam-6884	6	24	populations	population	NOUN
ejpam-6884	6	25	.	.	PUNCT
ejpam-6884	7	1	the	the	DET
ejpam-6884	7	2	results	result	NOUN
ejpam-6884	7	3	underscore	underscore	VERB
ejpam-6884	7	4	the	the	DET
ejpam-6884	7	5	enhanced	enhanced	ADJ
ejpam-6884	7	6	comprehension	comprehension	NOUN
ejpam-6884	7	7	of	of	ADP
ejpam-6884	7	8	monkeypox	monkeypox	NOUN
ejpam-6884	7	9	spread	spread	NOUN
ejpam-6884	7	10	and	and	CCONJ
ejpam-6884	7	11	recovery	recovery	NOUN
ejpam-6884	7	12	provided	provide	VERB
ejpam-6884	7	13	by	by	ADP
ejpam-6884	7	14	the	the	DET
ejpam-6884	7	15	combined	combine	VERB
ejpam-6884	7	16	effects	effect	NOUN
ejpam-6884	7	17	of	of	ADP
ejpam-6884	7	18	fractional	fractional	ADJ
ejpam-6884	7	19	dynamics	dynamic	NOUN
ejpam-6884	7	20	and	and	CCONJ
ejpam-6884	7	21	fuzziness	fuzziness	NOUN
ejpam-6884	7	22	and	and	CCONJ
ejpam-6884	7	23	provide	provide	VERB
ejpam-6884	7	24	important	important	ADJ
ejpam-6884	7	25	insights	insight	NOUN
ejpam-6884	7	26	for	for	ADP
ejpam-6884	7	27	public	public	ADJ
ejpam-6884	7	28	health	health	NOUN
ejpam-6884	7	29	policy	policy	NOUN
ejpam-6884	7	30	.	.	PUNCT
ejpam-6884	8	1	2020	2020	NUM
ejpam-6884	8	2	mathematics	mathematic	NOUN
ejpam-6884	8	3	subject	subject	NOUN
ejpam-6884	8	4	classifications	classification	NOUN
ejpam-6884	8	5	:	:	PUNCT
ejpam-6884	8	6	26a33	26a33	NUM
ejpam-6884	8	7	,	,	PUNCT
ejpam-6884	8	8	34a08	34a08	NUM
ejpam-6884	8	9	,	,	PUNCT
ejpam-6884	8	10	92d30	92d30	NUM
ejpam-6884	8	11	,	,	PUNCT
ejpam-6884	8	12	03e72	03e72	X
ejpam-6884	8	13	key	key	ADJ
ejpam-6884	8	14	words	word	NOUN
ejpam-6884	8	15	and	and	CCONJ
ejpam-6884	8	16	phrases	phrase	NOUN
ejpam-6884	8	17	:	:	PUNCT
ejpam-6884	8	18	mathematical	mathematical	ADJ
ejpam-6884	8	19	model	model	NOUN
ejpam-6884	8	20	,	,	PUNCT
ejpam-6884	8	21	fractal	fractal	ADJ
ejpam-6884	8	22	fractional	fractional	ADJ
ejpam-6884	8	23	operator	operator	NOUN
ejpam-6884	8	24	,	,	PUNCT
ejpam-6884	8	25	fuzzy	fuzzy	ADJ
ejpam-6884	8	26	values	value	NOUN
ejpam-6884	8	27	,	,	PUNCT
ejpam-6884	8	28	triangular	triangular	ADJ
ejpam-6884	8	29	fuzzy	fuzzy	ADJ
ejpam-6884	8	30	number	number	NOUN
ejpam-6884	8	31	,	,	PUNCT
ejpam-6884	8	32	lipschitz	lipschitz	NOUN
ejpam-6884	8	33	function	function	NOUN
ejpam-6884	8	34	,	,	PUNCT
ejpam-6884	8	35	ulam	ulam	NOUN
ejpam-6884	8	36	-	-	PUNCT
ejpam-6884	8	37	hyers	hyer	NOUN
ejpam-6884	8	38	stability	stability	NOUN
ejpam-6884	8	39	∗corresponding	∗corresponde	VERB
ejpam-6884	8	40	author	author	NOUN
ejpam-6884	8	41	.	.	PUNCT
ejpam-6884	9	1	∗corresponding	∗corresponde	VERB
ejpam-6884	9	2	author	author	NOUN
ejpam-6884	9	3	.	.	PUNCT
ejpam-6884	10	1	doi	doi	NOUN
ejpam-6884	10	2	:	:	PUNCT
ejpam-6884	10	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6884	https://doi.org/10.29020/nybg.ejpam.v18i4.6884	PROPN
ejpam-6884	10	4	email	email	NOUN
ejpam-6884	10	5	addresses	address	NOUN
ejpam-6884	10	6	:	:	PUNCT
ejpam-6884	10	7	busayamas.pi@kmitl.ac.th	busayamas.pi@kmitl.ac.th	PROPN
ejpam-6884	10	8	(	(	PUNCT
ejpam-6884	10	9	b.	b.	PROPN
ejpam-6884	10	10	pimpunchat	pimpunchat	PROPN
ejpam-6884	10	11	)	)	PUNCT
ejpam-6884	10	12	,	,	PUNCT
ejpam-6884	10	13	kamran.maths@icp.edu.pk	kamran.maths@icp.edu.pk	PROPN
ejpam-6884	10	14	(	(	PUNCT
ejpam-6884	10	15	kamran	kamran	PROPN
ejpam-6884	10	16	)	)	PUNCT
ejpam-6884	10	17	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6884	11	1	1	1	NUM
ejpam-6884	11	2	copyright	copyright	NOUN
ejpam-6884	11	3	:	:	PUNCT
ejpam-6884	11	4	©	©	PROPN
ejpam-6884	11	5	2025	2025	NUM
ejpam-6884	11	6	the	the	DET
ejpam-6884	11	7	author(s	author(s	NOUN
ejpam-6884	11	8	)	)	PUNCT
ejpam-6884	11	9	.	.	PUNCT
ejpam-6884	12	1	(	(	PUNCT
ejpam-6884	12	2	cc	cc	NOUN
ejpam-6884	12	3	by	by	ADP
ejpam-6884	12	4	-	-	PUNCT
ejpam-6884	12	5	nc	nc	PROPN
ejpam-6884	12	6	4.0	4.0	NUM
ejpam-6884	12	7	)	)	PUNCT
ejpam-6884	12	8	v.	v.	ADP
ejpam-6884	12	9	govindan	govindan	PROPN
ejpam-6884	12	10	et	et	PROPN
ejpam-6884	12	11	al	al	PROPN
ejpam-6884	12	12	.	.	PUNCT
ejpam-6884	12	13	/	/	SYM
ejpam-6884	12	14	eur	eur	PROPN
ejpam-6884	12	15	.	.	PUNCT
ejpam-6884	13	1	j.	j.	PROPN
ejpam-6884	13	2	pure	pure	PROPN
ejpam-6884	13	3	appl	appl	PROPN
ejpam-6884	13	4	.	.	PROPN
ejpam-6884	13	5	math	math	PROPN
ejpam-6884	13	6	,	,	PUNCT
ejpam-6884	13	7	18	18	NUM
ejpam-6884	13	8	(	(	PUNCT
ejpam-6884	13	9	4	4	NUM
ejpam-6884	13	10	)	)	PUNCT
ejpam-6884	13	11	(	(	PUNCT
ejpam-6884	13	12	2025	2025	NUM
ejpam-6884	13	13	)	)	PUNCT
ejpam-6884	13	14	,	,	PUNCT
ejpam-6884	13	15	6884	6884	NUM
ejpam-6884	13	16	2	2	NUM
ejpam-6884	13	17	of	of	ADP
ejpam-6884	13	18	29	29	NUM
ejpam-6884	13	19	1	1	NUM
ejpam-6884	13	20	.	.	PUNCT
ejpam-6884	13	21	introduction	introduction	NOUN
ejpam-6884	13	22	mpox	mpox	NOUN
ejpam-6884	13	23	,	,	PUNCT
ejpam-6884	13	24	previously	previously	ADV
ejpam-6884	13	25	referred	refer	VERB
ejpam-6884	13	26	to	to	ADP
ejpam-6884	13	27	as	as	ADP
ejpam-6884	13	28	monkeypox	monkeypox	NOUN
ejpam-6884	13	29	,	,	PUNCT
ejpam-6884	13	30	is	be	AUX
ejpam-6884	13	31	an	an	DET
ejpam-6884	13	32	emerging	emerge	VERB
ejpam-6884	13	33	viral	viral	ADJ
ejpam-6884	13	34	infection	infection	NOUN
ejpam-6884	13	35	with	with	ADP
ejpam-6884	13	36	growing	grow	VERB
ejpam-6884	13	37	worldwide	worldwide	ADJ
ejpam-6884	13	38	importance	importance	NOUN
ejpam-6884	13	39	.	.	PUNCT
ejpam-6884	14	1	the	the	DET
ejpam-6884	14	2	cdc	cdc	PROPN
ejpam-6884	14	3	(	(	PUNCT
ejpam-6884	14	4	2024	2024	NUM
ejpam-6884	14	5	)	)	PUNCT
ejpam-6884	14	6	reports	report	VERB
ejpam-6884	14	7	its	its	PRON
ejpam-6884	14	8	prevention	prevention	NOUN
ejpam-6884	14	9	,	,	PUNCT
ejpam-6884	14	10	management	management	NOUN
ejpam-6884	14	11	,	,	PUNCT
ejpam-6884	14	12	and	and	CCONJ
ejpam-6884	14	13	spread	spread	VERB
ejpam-6884	14	14	[	[	X
ejpam-6884	14	15	1	1	NUM
ejpam-6884	14	16	]	]	PUNCT
ejpam-6884	14	17	.	.	PUNCT
ejpam-6884	15	1	a	a	DET
ejpam-6884	15	2	who	who	PRON
ejpam-6884	15	3	-	-	PUNCT
ejpam-6884	15	4	sponsored	sponsor	VERB
ejpam-6884	15	5	study	study	NOUN
ejpam-6884	15	6	by	by	ADP
ejpam-6884	15	7	hoxha	hoxha	PROPN
ejpam-6884	15	8	et	et	PROPN
ejpam-6884	15	9	al	al	PROPN
ejpam-6884	15	10	.	.	PROPN
ejpam-6884	15	11	(	(	PUNCT
ejpam-6884	15	12	2023	2023	NUM
ejpam-6884	15	13	)	)	PUNCT
ejpam-6884	15	14	reported	report	VERB
ejpam-6884	15	15	mpox	mpox	NOUN
ejpam-6884	15	16	infections	infection	NOUN
ejpam-6884	15	17	in	in	ADP
ejpam-6884	15	18	children	child	NOUN
ejpam-6884	15	19	during	during	ADP
ejpam-6884	15	20	the	the	DET
ejpam-6884	15	21	outbreak	outbreak	NOUN
ejpam-6884	15	22	in	in	ADP
ejpam-6884	15	23	2022–2023	2022–2023	NUM
ejpam-6884	15	24	,	,	PUNCT
ejpam-6884	15	25	citing	cite	VERB
ejpam-6884	15	26	distinct	distinct	ADJ
ejpam-6884	15	27	clinical	clinical	ADJ
ejpam-6884	15	28	findings	finding	NOUN
ejpam-6884	15	29	[	[	X
ejpam-6884	15	30	2	2	NUM
ejpam-6884	15	31	]	]	PUNCT
ejpam-6884	15	32	.	.	PUNCT
ejpam-6884	16	1	lu	lu	PROPN
ejpam-6884	16	2	et	et	PROPN
ejpam-6884	16	3	al	al	PROPN
ejpam-6884	16	4	.	.	PROPN
ejpam-6884	16	5	(	(	PUNCT
ejpam-6884	16	6	2023	2023	NUM
ejpam-6884	16	7	)	)	PUNCT
ejpam-6884	16	8	offered	offer	VERB
ejpam-6884	16	9	a	a	DET
ejpam-6884	16	10	review	review	NOUN
ejpam-6884	16	11	of	of	ADP
ejpam-6884	16	12	mpox	mpox	NOUN
ejpam-6884	16	13	pathogenesis	pathogenesis	NOUN
ejpam-6884	16	14	and	and	CCONJ
ejpam-6884	16	15	therapy	therapy	NOUN
ejpam-6884	16	16	,	,	PUNCT
ejpam-6884	16	17	focusing	focus	VERB
ejpam-6884	16	18	on	on	ADP
ejpam-6884	16	19	vaccine	vaccine	NOUN
ejpam-6884	16	20	and	and	CCONJ
ejpam-6884	16	21	antiviral	antiviral	ADJ
ejpam-6884	16	22	improvements	improvement	NOUN
ejpam-6884	16	23	[	[	X
ejpam-6884	16	24	3	3	NUM
ejpam-6884	16	25	]	]	PUNCT
ejpam-6884	16	26	.	.	PUNCT
ejpam-6884	17	1	karagoz	karagoz	PROPN
ejpam-6884	17	2	et	et	PROPN
ejpam-6884	17	3	al	al	PROPN
ejpam-6884	17	4	.	.	PROPN
ejpam-6884	18	1	(	(	PUNCT
ejpam-6884	18	2	2023	2023	NUM
ejpam-6884	18	3	)	)	PUNCT
ejpam-6884	18	4	presented	present	VERB
ejpam-6884	18	5	in	in	ADP
ejpam-6884	18	6	detail	detail	NOUN
ejpam-6884	18	7	the	the	DET
ejpam-6884	18	8	origin	origin	NOUN
ejpam-6884	18	9	,	,	PUNCT
ejpam-6884	18	10	genome	genome	NOUN
ejpam-6884	18	11	,	,	PUNCT
ejpam-6884	18	12	transmission	transmission	NOUN
ejpam-6884	18	13	,	,	PUNCT
ejpam-6884	18	14	and	and	CCONJ
ejpam-6884	18	15	diagnostic	diagnostic	ADJ
ejpam-6884	18	16	methods	method	NOUN
ejpam-6884	18	17	of	of	ADP
ejpam-6884	18	18	the	the	DET
ejpam-6884	18	19	virus	virus	NOUN
ejpam-6884	18	20	[	[	X
ejpam-6884	18	21	4	4	NUM
ejpam-6884	18	22	]	]	PUNCT
ejpam-6884	18	23	.	.	PUNCT
ejpam-6884	19	1	the	the	DET
ejpam-6884	19	2	who	who	PRON
ejpam-6884	19	3	(	(	PUNCT
ejpam-6884	19	4	2024	2024	NUM
ejpam-6884	19	5	)	)	PUNCT
ejpam-6884	19	6	is	be	AUX
ejpam-6884	19	7	still	still	ADV
ejpam-6884	19	8	publishing	publish	VERB
ejpam-6884	19	9	global	global	ADJ
ejpam-6884	19	10	health	health	NOUN
ejpam-6884	19	11	advice	advice	NOUN
ejpam-6884	19	12	and	and	CCONJ
ejpam-6884	19	13	prevention	prevention	NOUN
ejpam-6884	19	14	measures	measure	NOUN
ejpam-6884	19	15	[	[	X
ejpam-6884	19	16	5	5	NUM
ejpam-6884	19	17	]	]	PUNCT
ejpam-6884	19	18	.	.	PUNCT
ejpam-6884	20	1	mpox	mpox	NOUN
ejpam-6884	20	2	re	re	VERB
ejpam-6884	20	3	-	-	VERB
ejpam-6884	20	4	emerged	emerge	VERB
ejpam-6884	20	5	in	in	ADP
ejpam-6884	20	6	2022	2022	NUM
ejpam-6884	20	7	with	with	ADP
ejpam-6884	20	8	a	a	DET
ejpam-6884	20	9	worldwide	worldwide	ADJ
ejpam-6884	20	10	epidemic	epidemic	NOUN
ejpam-6884	20	11	that	that	PRON
ejpam-6884	20	12	had	have	AUX
ejpam-6884	20	13	predominantly	predominantly	ADV
ejpam-6884	20	14	beset	beset	VERB
ejpam-6884	20	15	the	the	DET
ejpam-6884	20	16	msm	msm	NOUN
ejpam-6884	20	17	population	population	NOUN
ejpam-6884	20	18	in	in	ADP
ejpam-6884	20	19	the	the	DET
ejpam-6884	20	20	presentation	presentation	NOUN
ejpam-6884	20	21	of	of	ADP
ejpam-6884	20	22	genital	genital	ADJ
ejpam-6884	20	23	ulcers	ulcer	NOUN
ejpam-6884	20	24	and	and	CCONJ
ejpam-6884	20	25	lymphadenopathy	lymphadenopathy	ADJ
ejpam-6884	21	1	[	[	X
ejpam-6884	21	2	6	6	NUM
ejpam-6884	21	3	]	]	PUNCT
ejpam-6884	21	4	.	.	PUNCT
ejpam-6884	22	1	transmission	transmission	NOUN
ejpam-6884	22	2	is	be	AUX
ejpam-6884	22	3	caused	cause	VERB
ejpam-6884	22	4	by	by	ADP
ejpam-6884	22	5	direct	direct	ADJ
ejpam-6884	22	6	contact	contact	NOUN
ejpam-6884	22	7	with	with	ADP
ejpam-6884	22	8	an	an	DET
ejpam-6884	22	9	infected	infected	ADJ
ejpam-6884	22	10	lesion	lesion	NOUN
ejpam-6884	22	11	,	,	PUNCT
ejpam-6884	22	12	body	body	NOUN
ejpam-6884	22	13	fluids	fluid	NOUN
ejpam-6884	22	14	,	,	PUNCT
ejpam-6884	22	15	respiratory	respiratory	ADJ
ejpam-6884	22	16	droplets	droplet	NOUN
ejpam-6884	22	17	,	,	PUNCT
ejpam-6884	22	18	or	or	CCONJ
ejpam-6884	22	19	contaminated	contaminate	VERB
ejpam-6884	22	20	material	material	NOUN
ejpam-6884	22	21	.	.	PUNCT
ejpam-6884	23	1	although	although	SCONJ
ejpam-6884	23	2	previously	previously	ADV
ejpam-6884	23	3	rare	rare	ADJ
ejpam-6884	23	4	,	,	PUNCT
ejpam-6884	23	5	human	human	NOUN
ejpam-6884	23	6	-	-	PUNCT
ejpam-6884	23	7	to	to	ADP
ejpam-6884	23	8	-	-	PUNCT
ejpam-6884	23	9	human	human	ADJ
ejpam-6884	23	10	transmission	transmission	NOUN
ejpam-6884	23	11	is	be	AUX
ejpam-6884	23	12	now	now	ADV
ejpam-6884	23	13	recognized	recognize	VERB
ejpam-6884	23	14	as	as	ADP
ejpam-6884	23	15	a	a	DET
ejpam-6884	23	16	significant	significant	ADJ
ejpam-6884	23	17	mode	mode	NOUN
ejpam-6884	23	18	of	of	ADP
ejpam-6884	23	19	spread	spread	NOUN
ejpam-6884	23	20	.	.	PUNCT
ejpam-6884	24	1	preventive	preventive	ADJ
ejpam-6884	24	2	strategies	strategy	NOUN
ejpam-6884	24	3	include	include	VERB
ejpam-6884	24	4	isolation	isolation	NOUN
ejpam-6884	24	5	,	,	PUNCT
ejpam-6884	24	6	symptomatic	symptomatic	ADJ
ejpam-6884	24	7	treatment	treatment	NOUN
ejpam-6884	24	8	,	,	PUNCT
ejpam-6884	24	9	and	and	CCONJ
ejpam-6884	24	10	post	post	ADJ
ejpam-6884	24	11	-	-	ADJ
ejpam-6884	24	12	exposure	exposure	ADJ
ejpam-6884	24	13	vaccination	vaccination	NOUN
ejpam-6884	24	14	with	with	ADP
ejpam-6884	24	15	the	the	DET
ejpam-6884	24	16	modified	modify	VERB
ejpam-6884	24	17	vaccinia	vaccinia	NOUN
ejpam-6884	24	18	ankara	ankara	PROPN
ejpam-6884	24	19	(	(	PUNCT
ejpam-6884	24	20	mva	mva	NOUN
ejpam-6884	24	21	)	)	PUNCT
ejpam-6884	24	22	vaccine	vaccine	NOUN
ejpam-6884	24	23	,	,	PUNCT
ejpam-6884	24	24	which	which	PRON
ejpam-6884	24	25	has	have	AUX
ejpam-6884	24	26	shown	show	VERB
ejpam-6884	24	27	a	a	DET
ejpam-6884	24	28	favourable	favourable	ADJ
ejpam-6884	24	29	safety	safety	NOUN
ejpam-6884	24	30	profile	profile	NOUN
ejpam-6884	24	31	even	even	ADV
ejpam-6884	24	32	in	in	ADP
ejpam-6884	24	33	immunocompromised	immunocompromise	VERB
ejpam-6884	24	34	individuals	individual	NOUN
ejpam-6884	24	35	[	[	X
ejpam-6884	24	36	7	7	NUM
ejpam-6884	24	37	]	]	PUNCT
ejpam-6884	24	38	.	.	PUNCT
ejpam-6884	25	1	enhanced	enhanced	ADJ
ejpam-6884	25	2	surveillance	surveillance	NOUN
ejpam-6884	25	3	,	,	PUNCT
ejpam-6884	25	4	vaccination	vaccination	NOUN
ejpam-6884	25	5	strategies	strategy	NOUN
ejpam-6884	25	6	,	,	PUNCT
ejpam-6884	25	7	and	and	CCONJ
ejpam-6884	25	8	global	global	ADJ
ejpam-6884	25	9	awareness	awareness	NOUN
ejpam-6884	25	10	are	be	AUX
ejpam-6884	25	11	essential	essential	ADJ
ejpam-6884	25	12	in	in	ADP
ejpam-6884	25	13	mitigating	mitigate	VERB
ejpam-6884	25	14	the	the	DET
ejpam-6884	25	15	ongoing	ongoing	ADJ
ejpam-6884	25	16	outbreak	outbreak	NOUN
ejpam-6884	25	17	and	and	CCONJ
ejpam-6884	25	18	addressing	address	VERB
ejpam-6884	25	19	the	the	DET
ejpam-6884	25	20	challenges	challenge	NOUN
ejpam-6884	25	21	posed	pose	VERB
ejpam-6884	25	22	by	by	ADP
ejpam-6884	25	23	this	this	DET
ejpam-6884	25	24	re	re	ADJ
ejpam-6884	25	25	-	-	ADJ
ejpam-6884	25	26	emerging	emerge	VERB
ejpam-6884	25	27	disease	disease	NOUN
ejpam-6884	25	28	.	.	PUNCT
ejpam-6884	26	1	researchers	researcher	NOUN
ejpam-6884	26	2	in	in	ADP
ejpam-6884	26	3	infectious	infectious	ADJ
ejpam-6884	26	4	diseases	disease	NOUN
ejpam-6884	26	5	have	have	AUX
ejpam-6884	26	6	highlighted	highlight	VERB
ejpam-6884	26	7	the	the	DET
ejpam-6884	26	8	significant	significant	ADJ
ejpam-6884	26	9	role	role	NOUN
ejpam-6884	26	10	of	of	ADP
ejpam-6884	26	11	mathematics	mathematic	NOUN
ejpam-6884	26	12	and	and	CCONJ
ejpam-6884	26	13	mathematical	mathematical	ADJ
ejpam-6884	26	14	modelling	modelling	NOUN
ejpam-6884	26	15	in	in	ADP
ejpam-6884	26	16	providing	provide	VERB
ejpam-6884	26	17	a	a	DET
ejpam-6884	26	18	clear	clear	ADJ
ejpam-6884	26	19	framework	framework	NOUN
ejpam-6884	26	20	for	for	ADP
ejpam-6884	26	21	understanding	understand	VERB
ejpam-6884	26	22	the	the	DET
ejpam-6884	26	23	transmission	transmission	NOUN
ejpam-6884	26	24	dynamics	dynamic	NOUN
ejpam-6884	26	25	of	of	ADP
ejpam-6884	26	26	infectious	infectious	ADJ
ejpam-6884	26	27	diseases	disease	NOUN
ejpam-6884	26	28	among	among	ADP
ejpam-6884	26	29	individuals	individual	NOUN
ejpam-6884	26	30	,	,	PUNCT
ejpam-6884	26	31	communities	community	NOUN
ejpam-6884	26	32	,	,	PUNCT
ejpam-6884	26	33	and	and	CCONJ
ejpam-6884	26	34	animal	animal	NOUN
ejpam-6884	26	35	populations	population	NOUN
ejpam-6884	26	36	.	.	PUNCT
ejpam-6884	27	1	they	they	PRON
ejpam-6884	27	2	have	have	AUX
ejpam-6884	27	3	developed	develop	VERB
ejpam-6884	27	4	simplified	simplified	ADJ
ejpam-6884	27	5	models	model	NOUN
ejpam-6884	27	6	that	that	PRON
ejpam-6884	27	7	incorporate	incorporate	VERB
ejpam-6884	27	8	essential	essential	ADJ
ejpam-6884	27	9	clinical	clinical	ADJ
ejpam-6884	27	10	and	and	CCONJ
ejpam-6884	27	11	biological	biological	ADJ
ejpam-6884	27	12	parameters	parameter	NOUN
ejpam-6884	27	13	to	to	PART
ejpam-6884	27	14	describe	describe	VERB
ejpam-6884	27	15	disease	disease	NOUN
ejpam-6884	27	16	development	development	NOUN
ejpam-6884	27	17	and	and	CCONJ
ejpam-6884	27	18	spread	spread	VERB
ejpam-6884	27	19	[	[	X
ejpam-6884	27	20	8–11	8–11	NOUN
ejpam-6884	27	21	]	]	PUNCT
ejpam-6884	27	22	.	.	PUNCT
ejpam-6884	28	1	in	in	ADP
ejpam-6884	28	2	this	this	DET
ejpam-6884	28	3	context	context	NOUN
ejpam-6884	28	4	,	,	PUNCT
ejpam-6884	28	5	numerous	numerous	ADJ
ejpam-6884	28	6	mathematical	mathematical	ADJ
ejpam-6884	28	7	studies	study	NOUN
ejpam-6884	28	8	have	have	AUX
ejpam-6884	28	9	examined	examine	VERB
ejpam-6884	28	10	the	the	DET
ejpam-6884	28	11	dynamics	dynamic	NOUN
ejpam-6884	28	12	of	of	ADP
ejpam-6884	28	13	various	various	ADJ
ejpam-6884	28	14	epidemic	epidemic	NOUN
ejpam-6884	28	15	phenomena	phenomenon	NOUN
ejpam-6884	28	16	,	,	PUNCT
ejpam-6884	28	17	such	such	ADJ
ejpam-6884	28	18	as	as	ADP
ejpam-6884	28	19	alcoholism	alcoholism	NOUN
ejpam-6884	28	20	,	,	PUNCT
ejpam-6884	28	21	smoking	smoking	NOUN
ejpam-6884	28	22	,	,	PUNCT
ejpam-6884	28	23	covid-19	covid-19	PROPN
ejpam-6884	28	24	,	,	PUNCT
ejpam-6884	28	25	and	and	CCONJ
ejpam-6884	28	26	obesity	obesity	NOUN
ejpam-6884	28	27	[	[	X
ejpam-6884	28	28	12–19	12–19	NOUN
ejpam-6884	28	29	]	]	PUNCT
ejpam-6884	28	30	.	.	PUNCT
ejpam-6884	29	1	to	to	PART
ejpam-6884	29	2	study	study	VERB
ejpam-6884	29	3	the	the	DET
ejpam-6884	29	4	dynamics	dynamic	NOUN
ejpam-6884	29	5	of	of	ADP
ejpam-6884	29	6	monkeypox	monkeypox	NOUN
ejpam-6884	29	7	specifically	specifically	ADV
ejpam-6884	29	8	,	,	PUNCT
ejpam-6884	29	9	several	several	ADJ
ejpam-6884	29	10	compartmental	compartmental	ADJ
ejpam-6884	29	11	models	model	NOUN
ejpam-6884	29	12	commonly	commonly	ADV
ejpam-6884	29	13	used	use	VERB
ejpam-6884	29	14	in	in	ADP
ejpam-6884	29	15	epidemiology	epidemiology	NOUN
ejpam-6884	29	16	have	have	AUX
ejpam-6884	29	17	been	be	AUX
ejpam-6884	29	18	proposed	propose	VERB
ejpam-6884	29	19	[	[	X
ejpam-6884	29	20	20–22	20–22	NUM
ejpam-6884	29	21	]	]	PUNCT
ejpam-6884	29	22	.	.	PUNCT
ejpam-6884	30	1	although	although	SCONJ
ejpam-6884	30	2	monkeypox	monkeypox	NOUN
ejpam-6884	30	3	received	receive	VERB
ejpam-6884	30	4	limited	limited	ADJ
ejpam-6884	30	5	attention	attention	NOUN
ejpam-6884	30	6	in	in	ADP
ejpam-6884	30	7	the	the	DET
ejpam-6884	30	8	past	past	NOUN
ejpam-6884	30	9	,	,	PUNCT
ejpam-6884	30	10	leading	lead	VERB
ejpam-6884	30	11	to	to	ADP
ejpam-6884	30	12	gaps	gap	NOUN
ejpam-6884	30	13	in	in	ADP
ejpam-6884	30	14	understanding	understand	VERB
ejpam-6884	30	15	its	its	PRON
ejpam-6884	30	16	transmission	transmission	NOUN
ejpam-6884	30	17	mechanisms	mechanism	NOUN
ejpam-6884	30	18	,	,	PUNCT
ejpam-6884	30	19	more	more	ADJ
ejpam-6884	30	20	recent	recent	ADJ
ejpam-6884	30	21	studies	study	NOUN
ejpam-6884	30	22	have	have	AUX
ejpam-6884	30	23	started	start	VERB
ejpam-6884	30	24	to	to	PART
ejpam-6884	30	25	address	address	VERB
ejpam-6884	30	26	this	this	DET
ejpam-6884	30	27	issue	issue	NOUN
ejpam-6884	30	28	through	through	ADP
ejpam-6884	30	29	mathematical	mathematical	ADJ
ejpam-6884	30	30	modelling	modelling	NOUN
ejpam-6884	30	31	techniques	technique	NOUN
ejpam-6884	30	32	.	.	PUNCT
ejpam-6884	31	1	a	a	DET
ejpam-6884	31	2	deterministic	deterministic	ADJ
ejpam-6884	31	3	mathematical	mathematical	ADJ
ejpam-6884	31	4	model	model	NOUN
ejpam-6884	31	5	was	be	AUX
ejpam-6884	31	6	developed	develop	VERB
ejpam-6884	31	7	in	in	ADP
ejpam-6884	31	8	[	[	X
ejpam-6884	31	9	23	23	NUM
ejpam-6884	31	10	]	]	PUNCT
ejpam-6884	31	11	to	to	PART
ejpam-6884	31	12	examine	examine	VERB
ejpam-6884	31	13	the	the	DET
ejpam-6884	31	14	monkeypox	monkeypox	PROPN
ejpam-6884	31	15	outbreak	outbreak	NOUN
ejpam-6884	31	16	,	,	PUNCT
ejpam-6884	31	17	revealing	reveal	VERB
ejpam-6884	31	18	that	that	SCONJ
ejpam-6884	31	19	isolating	isolate	VERB
ejpam-6884	31	20	infected	infected	ADJ
ejpam-6884	31	21	individuals	individual	NOUN
ejpam-6884	31	22	significantly	significantly	ADV
ejpam-6884	31	23	reduces	reduce	VERB
ejpam-6884	31	24	disease	disease	NOUN
ejpam-6884	31	25	incidence	incidence	NOUN
ejpam-6884	31	26	.	.	PUNCT
ejpam-6884	32	1	a	a	DET
ejpam-6884	32	2	system	system	NOUN
ejpam-6884	32	3	of	of	ADP
ejpam-6884	32	4	nonlinear	nonlinear	ADJ
ejpam-6884	32	5	differential	differential	ADJ
ejpam-6884	32	6	equations	equation	NOUN
ejpam-6884	32	7	was	be	AUX
ejpam-6884	32	8	proposed	propose	VERB
ejpam-6884	32	9	in	in	ADP
ejpam-6884	32	10	[	[	X
ejpam-6884	32	11	24	24	NUM
ejpam-6884	32	12	]	]	PUNCT
ejpam-6884	32	13	to	to	PART
ejpam-6884	32	14	analyse	analyse	VERB
ejpam-6884	32	15	multiple	multiple	ADJ
ejpam-6884	32	16	transmission	transmission	NOUN
ejpam-6884	32	17	pathways	pathway	NOUN
ejpam-6884	32	18	of	of	ADP
ejpam-6884	32	19	monkeypox	monkeypox	PROPN
ejpam-6884	32	20	.	.	PUNCT
ejpam-6884	33	1	several	several	ADJ
ejpam-6884	33	2	foundational	foundational	ADJ
ejpam-6884	33	3	studies	study	NOUN
ejpam-6884	33	4	have	have	AUX
ejpam-6884	33	5	contributed	contribute	VERB
ejpam-6884	33	6	to	to	ADP
ejpam-6884	33	7	understanding	understand	VERB
ejpam-6884	33	8	monkeypox	monkeypox	NOUN
ejpam-6884	33	9	transmission	transmission	NOUN
ejpam-6884	33	10	dynamics	dynamic	NOUN
ejpam-6884	33	11	.	.	PUNCT
ejpam-6884	34	1	for	for	ADP
ejpam-6884	34	2	instance	instance	NOUN
ejpam-6884	34	3	,	,	PUNCT
ejpam-6884	34	4	the	the	DET
ejpam-6884	34	5	transmission	transmission	NOUN
ejpam-6884	34	6	dynamics	dynamic	NOUN
ejpam-6884	34	7	of	of	ADP
ejpam-6884	34	8	pox	pox	NOUN
ejpam-6884	34	9	-	-	PUNCT
ejpam-6884	34	10	like	like	ADJ
ejpam-6884	34	11	diseases	disease	NOUN
ejpam-6884	34	12	using	use	VERB
ejpam-6884	34	13	monkeypox	monkeypox	NOUN
ejpam-6884	34	14	as	as	SCONJ
ejpam-6884	34	15	a	a	DET
ejpam-6884	34	16	case	case	NOUN
ejpam-6884	34	17	study	study	NOUN
ejpam-6884	34	18	were	be	AUX
ejpam-6884	34	19	first	first	ADV
ejpam-6884	34	20	analysed	analyse	VERB
ejpam-6884	34	21	in	in	ADP
ejpam-6884	34	22	[	[	X
ejpam-6884	34	23	25	25	NUM
ejpam-6884	34	24	]	]	PUNCT
ejpam-6884	34	25	.	.	PUNCT
ejpam-6884	35	1	the	the	DET
ejpam-6884	35	2	potential	potential	NOUN
ejpam-6884	35	3	for	for	ADP
ejpam-6884	35	4	eradication	eradication	NOUN
ejpam-6884	35	5	of	of	ADP
ejpam-6884	35	6	monkeypox	monkeypox	NOUN
ejpam-6884	35	7	from	from	ADP
ejpam-6884	35	8	both	both	CCONJ
ejpam-6884	35	9	human	human	ADJ
ejpam-6884	35	10	and	and	CCONJ
ejpam-6884	35	11	non	non	ADJ
ejpam-6884	35	12	-	-	ADJ
ejpam-6884	35	13	human	human	ADJ
ejpam-6884	35	14	primate	primate	NOUN
ejpam-6884	35	15	populations	population	NOUN
ejpam-6884	35	16	through	through	ADP
ejpam-6884	35	17	structured	structured	ADJ
ejpam-6884	35	18	treatment	treatment	NOUN
ejpam-6884	35	19	interventions	intervention	NOUN
ejpam-6884	35	20	was	be	AUX
ejpam-6884	35	21	demonstrated	demonstrate	VERB
ejpam-6884	35	22	in	in	ADP
ejpam-6884	35	23	[	[	X
ejpam-6884	35	24	26	26	NUM
ejpam-6884	35	25	]	]	PUNCT
ejpam-6884	35	26	.	.	PUNCT
ejpam-6884	36	1	a	a	DET
ejpam-6884	36	2	detailed	detailed	ADJ
ejpam-6884	36	3	stability	stability	NOUN
ejpam-6884	36	4	analysis	analysis	NOUN
ejpam-6884	36	5	involving	involve	VERB
ejpam-6884	36	6	both	both	DET
ejpam-6884	36	7	human	human	ADJ
ejpam-6884	36	8	hosts	host	NOUN
ejpam-6884	36	9	and	and	CCONJ
ejpam-6884	36	10	rodents	rodent	NOUN
ejpam-6884	36	11	was	be	AUX
ejpam-6884	36	12	carried	carry	VERB
ejpam-6884	36	13	out	out	ADP
ejpam-6884	36	14	in	in	ADP
ejpam-6884	36	15	[	[	X
ejpam-6884	36	16	27	27	NUM
ejpam-6884	36	17	]	]	PUNCT
ejpam-6884	36	18	.	.	PUNCT
ejpam-6884	37	1	additional	additional	ADJ
ejpam-6884	37	2	contributions	contribution	NOUN
ejpam-6884	37	3	using	use	VERB
ejpam-6884	37	4	compartmental	compartmental	NOUN
ejpam-6884	37	5	modelling	modelling	NOUN
ejpam-6884	37	6	to	to	PART
ejpam-6884	37	7	enhance	enhance	VERB
ejpam-6884	37	8	the	the	DET
ejpam-6884	37	9	understanding	understanding	NOUN
ejpam-6884	37	10	of	of	ADP
ejpam-6884	37	11	monkeypox	monkeypox	NOUN
ejpam-6884	37	12	dynamics	dynamic	NOUN
ejpam-6884	37	13	can	can	AUX
ejpam-6884	37	14	be	be	AUX
ejpam-6884	37	15	found	find	VERB
ejpam-6884	37	16	in	in	ADP
ejpam-6884	37	17	[	[	X
ejpam-6884	37	18	28	28	NUM
ejpam-6884	37	19	,	,	PUNCT
ejpam-6884	37	20	29	29	NUM
ejpam-6884	37	21	]	]	PUNCT
ejpam-6884	37	22	.	.	PUNCT
ejpam-6884	38	1	in	in	ADP
ejpam-6884	38	2	[	[	X
ejpam-6884	38	3	30	30	NUM
ejpam-6884	38	4	]	]	PUNCT
ejpam-6884	38	5	considered	consider	VERB
ejpam-6884	38	6	both	both	CCONJ
ejpam-6884	38	7	human	human	NOUN
ejpam-6884	38	8	-	-	PUNCT
ejpam-6884	38	9	to	to	ADP
ejpam-6884	38	10	-	-	PUNCT
ejpam-6884	38	11	human	human	ADJ
ejpam-6884	38	12	and	and	CCONJ
ejpam-6884	38	13	rodent	rodent	NOUN
ejpam-6884	38	14	-	-	PUNCT
ejpam-6884	38	15	to	to	ADP
ejpam-6884	38	16	-	-	PUNCT
ejpam-6884	38	17	human	human	ADJ
ejpam-6884	38	18	transmission	transmission	NOUN
ejpam-6884	38	19	,	,	PUNCT
ejpam-6884	38	20	offering	offer	VERB
ejpam-6884	38	21	an	an	DET
ejpam-6884	38	22	in	in	ADP
ejpam-6884	38	23	-	-	PUNCT
ejpam-6884	38	24	depth	depth	NOUN
ejpam-6884	38	25	analysis	analysis	NOUN
ejpam-6884	38	26	without	without	ADP
ejpam-6884	38	27	relying	rely	VERB
ejpam-6884	38	28	on	on	ADP
ejpam-6884	38	29	specific	specific	ADJ
ejpam-6884	38	30	outbreak	outbreak	NOUN
ejpam-6884	38	31	data	datum	NOUN
ejpam-6884	38	32	.	.	PUNCT
ejpam-6884	39	1	v.	v.	ADP
ejpam-6884	39	2	govindan	govindan	PROPN
ejpam-6884	39	3	et	et	PROPN
ejpam-6884	39	4	al	al	PROPN
ejpam-6884	39	5	.	.	PUNCT
ejpam-6884	39	6	/	/	SYM
ejpam-6884	39	7	eur	eur	PROPN
ejpam-6884	39	8	.	.	PUNCT
ejpam-6884	40	1	j.	j.	PROPN
ejpam-6884	40	2	pure	pure	PROPN
ejpam-6884	40	3	appl	appl	PROPN
ejpam-6884	40	4	.	.	PROPN
ejpam-6884	40	5	math	math	PROPN
ejpam-6884	40	6	,	,	PUNCT
ejpam-6884	40	7	18	18	NUM
ejpam-6884	40	8	(	(	PUNCT
ejpam-6884	40	9	4	4	NUM
ejpam-6884	40	10	)	)	PUNCT
ejpam-6884	40	11	(	(	PUNCT
ejpam-6884	40	12	2025	2025	NUM
ejpam-6884	40	13	)	)	PUNCT
ejpam-6884	40	14	,	,	PUNCT
ejpam-6884	40	15	6884	6884	NUM
ejpam-6884	40	16	3	3	NUM
ejpam-6884	40	17	of	of	ADP
ejpam-6884	40	18	29	29	NUM
ejpam-6884	40	19	recent	recent	ADJ
ejpam-6884	40	20	studies	study	NOUN
ejpam-6884	40	21	have	have	AUX
ejpam-6884	40	22	introduced	introduce	VERB
ejpam-6884	40	23	innovative	innovative	ADJ
ejpam-6884	40	24	approaches	approach	NOUN
ejpam-6884	40	25	to	to	ADP
ejpam-6884	40	26	modelling	model	VERB
ejpam-6884	40	27	monkeypox	monkeypox	NOUN
ejpam-6884	40	28	dynamics	dynamic	NOUN
ejpam-6884	40	29	.	.	PUNCT
ejpam-6884	41	1	a	a	DET
ejpam-6884	41	2	study	study	NOUN
ejpam-6884	41	3	[	[	X
ejpam-6884	41	4	31	31	NUM
ejpam-6884	41	5	]	]	PUNCT
ejpam-6884	41	6	analyses	analyse	VERB
ejpam-6884	41	7	backward	backward	ADJ
ejpam-6884	41	8	bifurcation	bifurcation	NOUN
ejpam-6884	41	9	using	use	VERB
ejpam-6884	41	10	real	real	ADJ
ejpam-6884	41	11	observed	observe	VERB
ejpam-6884	41	12	data	datum	NOUN
ejpam-6884	41	13	,	,	PUNCT
ejpam-6884	41	14	highlighting	highlight	VERB
ejpam-6884	41	15	how	how	SCONJ
ejpam-6884	41	16	key	key	ADJ
ejpam-6884	41	17	parameters	parameter	NOUN
ejpam-6884	41	18	influence	influence	VERB
ejpam-6884	41	19	disease	disease	NOUN
ejpam-6884	41	20	persistence	persistence	NOUN
ejpam-6884	41	21	.	.	PUNCT
ejpam-6884	42	1	another	another	DET
ejpam-6884	42	2	work	work	NOUN
ejpam-6884	42	3	[	[	X
ejpam-6884	42	4	32	32	NUM
ejpam-6884	42	5	]	]	PUNCT
ejpam-6884	42	6	examines	examine	VERB
ejpam-6884	42	7	the	the	DET
ejpam-6884	42	8	transmission	transmission	NOUN
ejpam-6884	42	9	dynamics	dynamic	NOUN
ejpam-6884	42	10	of	of	ADP
ejpam-6884	42	11	the	the	DET
ejpam-6884	42	12	monkeypox	monkeypox	PROPN
ejpam-6884	42	13	virus	virus	NOUN
ejpam-6884	42	14	using	use	VERB
ejpam-6884	42	15	compartmental	compartmental	ADJ
ejpam-6884	42	16	models	model	NOUN
ejpam-6884	42	17	to	to	PART
ejpam-6884	42	18	identify	identify	VERB
ejpam-6884	42	19	critical	critical	ADJ
ejpam-6884	42	20	factors	factor	NOUN
ejpam-6884	42	21	in	in	ADP
ejpam-6884	42	22	its	its	PRON
ejpam-6884	42	23	spread	spread	NOUN
ejpam-6884	42	24	.	.	PUNCT
ejpam-6884	43	1	additionally	additionally	ADV
ejpam-6884	43	2	,	,	PUNCT
ejpam-6884	43	3	optimal	optimal	ADJ
ejpam-6884	43	4	control	control	NOUN
ejpam-6884	43	5	strategies	strategy	NOUN
ejpam-6884	43	6	have	have	AUX
ejpam-6884	43	7	been	be	AUX
ejpam-6884	43	8	applied	apply	VERB
ejpam-6884	43	9	in	in	ADP
ejpam-6884	43	10	[	[	X
ejpam-6884	43	11	33	33	NUM
ejpam-6884	43	12	]	]	PUNCT
ejpam-6884	43	13	to	to	PART
ejpam-6884	43	14	evaluate	evaluate	VERB
ejpam-6884	43	15	the	the	DET
ejpam-6884	43	16	effectiveness	effectiveness	NOUN
ejpam-6884	43	17	of	of	ADP
ejpam-6884	43	18	interventions	intervention	NOUN
ejpam-6884	43	19	such	such	ADJ
ejpam-6884	43	20	as	as	ADP
ejpam-6884	43	21	vaccination	vaccination	NOUN
ejpam-6884	43	22	and	and	CCONJ
ejpam-6884	43	23	isolation	isolation	NOUN
ejpam-6884	43	24	in	in	ADP
ejpam-6884	43	25	reducing	reduce	VERB
ejpam-6884	43	26	infection	infection	NOUN
ejpam-6884	43	27	rates	rate	NOUN
ejpam-6884	43	28	.	.	PUNCT
ejpam-6884	44	1	fractional	fractional	ADJ
ejpam-6884	44	2	-	-	PUNCT
ejpam-6884	44	3	order	order	NOUN
ejpam-6884	44	4	differential	differential	ADJ
ejpam-6884	44	5	equations	equation	NOUN
ejpam-6884	44	6	have	have	AUX
ejpam-6884	44	7	gained	gain	VERB
ejpam-6884	44	8	prominence	prominence	NOUN
ejpam-6884	44	9	in	in	ADP
ejpam-6884	44	10	epidemiology	epidemiology	NOUN
ejpam-6884	44	11	due	due	ADP
ejpam-6884	44	12	to	to	ADP
ejpam-6884	44	13	their	their	PRON
ejpam-6884	44	14	ability	ability	NOUN
ejpam-6884	44	15	to	to	PART
ejpam-6884	44	16	capture	capture	VERB
ejpam-6884	44	17	memory	memory	NOUN
ejpam-6884	44	18	and	and	CCONJ
ejpam-6884	44	19	hereditary	hereditary	ADJ
ejpam-6884	44	20	effects	effect	NOUN
ejpam-6884	44	21	,	,	PUNCT
ejpam-6884	44	22	which	which	PRON
ejpam-6884	44	23	classical	classical	ADJ
ejpam-6884	44	24	models	model	NOUN
ejpam-6884	44	25	often	often	ADV
ejpam-6884	44	26	overlook	overlook	VERB
ejpam-6884	44	27	[	[	X
ejpam-6884	44	28	34–38	34–38	NUM
ejpam-6884	44	29	]	]	PUNCT
ejpam-6884	44	30	.	.	PUNCT
ejpam-6884	45	1	this	this	DET
ejpam-6884	45	2	approach	approach	NOUN
ejpam-6884	45	3	has	have	AUX
ejpam-6884	45	4	been	be	AUX
ejpam-6884	45	5	used	use	VERB
ejpam-6884	45	6	to	to	PART
ejpam-6884	45	7	model	model	VERB
ejpam-6884	45	8	both	both	DET
ejpam-6884	45	9	infectious	infectious	ADJ
ejpam-6884	45	10	and	and	CCONJ
ejpam-6884	45	11	non	non	ADJ
ejpam-6884	45	12	-	-	ADJ
ejpam-6884	45	13	infectious	infectious	ADJ
ejpam-6884	45	14	diseases	disease	NOUN
ejpam-6884	45	15	,	,	PUNCT
ejpam-6884	45	16	including	include	VERB
ejpam-6884	45	17	covid-19	covid-19	PROPN
ejpam-6884	46	1	[	[	X
ejpam-6884	46	2	39–41	39–41	NUM
ejpam-6884	46	3	]	]	PUNCT
ejpam-6884	46	4	.	.	PUNCT
ejpam-6884	47	1	in	in	ADP
ejpam-6884	47	2	the	the	DET
ejpam-6884	47	3	context	context	NOUN
ejpam-6884	47	4	of	of	ADP
ejpam-6884	47	5	monkeypox	monkeypox	NOUN
ejpam-6884	47	6	,	,	PUNCT
ejpam-6884	47	7	a	a	DET
ejpam-6884	47	8	stochastic	stochastic	ADJ
ejpam-6884	47	9	model	model	NOUN
ejpam-6884	47	10	addressing	address	VERB
ejpam-6884	47	11	cross	cross	NOUN
ejpam-6884	47	12	-	-	ADJ
ejpam-6884	47	13	infection	infection	NOUN
ejpam-6884	47	14	was	be	AUX
ejpam-6884	47	15	proposed	propose	VERB
ejpam-6884	47	16	in	in	ADP
ejpam-6884	47	17	[	[	X
ejpam-6884	47	18	42	42	NUM
ejpam-6884	47	19	]	]	PUNCT
ejpam-6884	47	20	,	,	PUNCT
ejpam-6884	47	21	and	and	CCONJ
ejpam-6884	47	22	zoonotic	zoonotic	ADJ
ejpam-6884	47	23	transmission	transmission	NOUN
ejpam-6884	47	24	using	use	VERB
ejpam-6884	47	25	fractal	fractal	ADJ
ejpam-6884	47	26	-	-	PUNCT
ejpam-6884	47	27	fractional	fractional	ADJ
ejpam-6884	47	28	operators	operator	NOUN
ejpam-6884	47	29	was	be	AUX
ejpam-6884	47	30	explored	explore	VERB
ejpam-6884	47	31	in	in	ADP
ejpam-6884	47	32	[	[	X
ejpam-6884	47	33	43	43	NUM
ejpam-6884	47	34	]	]	PUNCT
ejpam-6884	47	35	.	.	PUNCT
ejpam-6884	48	1	fractional	fractional	ADJ
ejpam-6884	48	2	-	-	PUNCT
ejpam-6884	48	3	order	order	NOUN
ejpam-6884	48	4	operators	operator	NOUN
ejpam-6884	48	5	like	like	ADP
ejpam-6884	48	6	the	the	DET
ejpam-6884	48	7	mittag	mittag	ADJ
ejpam-6884	48	8	–	–	PUNCT
ejpam-6884	48	9	leffler	leffl	ADJ
ejpam-6884	48	10	kernel	kernel	NOUN
ejpam-6884	48	11	and	and	CCONJ
ejpam-6884	48	12	caputo	caputo	PROPN
ejpam-6884	48	13	–	–	PUNCT
ejpam-6884	48	14	fabrizio	fabrizio	PROPN
ejpam-6884	48	15	derivative	derivative	NOUN
ejpam-6884	48	16	have	have	AUX
ejpam-6884	48	17	improved	improve	VERB
ejpam-6884	48	18	model	model	NOUN
ejpam-6884	48	19	accuracy	accuracy	NOUN
ejpam-6884	48	20	in	in	ADP
ejpam-6884	48	21	various	various	ADJ
ejpam-6884	48	22	epidemiological	epidemiological	ADJ
ejpam-6884	48	23	studies	study	NOUN
ejpam-6884	48	24	[	[	X
ejpam-6884	48	25	44–46	44–46	NOUN
ejpam-6884	48	26	]	]	PUNCT
ejpam-6884	48	27	.	.	PUNCT
ejpam-6884	49	1	specifically	specifically	ADV
ejpam-6884	49	2	,	,	PUNCT
ejpam-6884	49	3	monkeypox	monkeypox	NOUN
ejpam-6884	49	4	spread	spread	VERB
ejpam-6884	49	5	in	in	ADP
ejpam-6884	49	6	nigeria	nigeria	PROPN
ejpam-6884	49	7	was	be	AUX
ejpam-6884	49	8	modeled	model	VERB
ejpam-6884	49	9	using	use	VERB
ejpam-6884	49	10	real	real	ADJ
ejpam-6884	49	11	data	datum	NOUN
ejpam-6884	49	12	in	in	ADP
ejpam-6884	49	13	[	[	X
ejpam-6884	49	14	47	47	NUM
ejpam-6884	49	15	]	]	PUNCT
ejpam-6884	49	16	,	,	PUNCT
ejpam-6884	49	17	highlighting	highlight	VERB
ejpam-6884	49	18	the	the	DET
ejpam-6884	49	19	role	role	NOUN
ejpam-6884	49	20	of	of	ADP
ejpam-6884	49	21	public	public	ADJ
ejpam-6884	49	22	health	health	NOUN
ejpam-6884	49	23	measures	measure	NOUN
ejpam-6884	49	24	,	,	PUNCT
ejpam-6884	49	25	while	while	SCONJ
ejpam-6884	49	26	[	[	X
ejpam-6884	49	27	48	48	NUM
ejpam-6884	49	28	]	]	PUNCT
ejpam-6884	49	29	emphasized	emphasize	VERB
ejpam-6884	49	30	the	the	DET
ejpam-6884	49	31	importance	importance	NOUN
ejpam-6884	49	32	of	of	ADP
ejpam-6884	49	33	isolating	isolate	VERB
ejpam-6884	49	34	infected	infect	VERB
ejpam-6884	49	35	individuals	individual	NOUN
ejpam-6884	49	36	to	to	PART
ejpam-6884	49	37	reduce	reduce	VERB
ejpam-6884	49	38	transmission	transmission	NOUN
ejpam-6884	49	39	.	.	PUNCT
ejpam-6884	50	1	fuzzy	fuzzy	ADJ
ejpam-6884	50	2	logic	logic	NOUN
ejpam-6884	50	3	has	have	AUX
ejpam-6884	50	4	also	also	ADV
ejpam-6884	50	5	been	be	AUX
ejpam-6884	50	6	applied	apply	VERB
ejpam-6884	50	7	in	in	ADP
ejpam-6884	50	8	epidemic	epidemic	NOUN
ejpam-6884	50	9	modelling	modelling	NOUN
ejpam-6884	50	10	to	to	PART
ejpam-6884	50	11	manage	manage	VERB
ejpam-6884	50	12	uncertainty	uncertainty	NOUN
ejpam-6884	50	13	in	in	ADP
ejpam-6884	50	14	parameters	parameter	NOUN
ejpam-6884	50	15	.	.	PUNCT
ejpam-6884	51	1	the	the	DET
ejpam-6884	51	2	impact	impact	NOUN
ejpam-6884	51	3	of	of	ADP
ejpam-6884	51	4	fuzzy	fuzzy	ADJ
ejpam-6884	51	5	transmission	transmission	NOUN
ejpam-6884	51	6	and	and	CCONJ
ejpam-6884	51	7	treatment	treatment	NOUN
ejpam-6884	51	8	rates	rate	NOUN
ejpam-6884	51	9	was	be	AUX
ejpam-6884	51	10	studied	study	VERB
ejpam-6884	51	11	in	in	ADP
ejpam-6884	51	12	[	[	X
ejpam-6884	51	13	49	49	NUM
ejpam-6884	51	14	]	]	PUNCT
ejpam-6884	51	15	,	,	PUNCT
ejpam-6884	51	16	while	while	SCONJ
ejpam-6884	51	17	[	[	X
ejpam-6884	51	18	50	50	NUM
ejpam-6884	51	19	]	]	PUNCT
ejpam-6884	51	20	conducted	conduct	VERB
ejpam-6884	51	21	sensitivity	sensitivity	NOUN
ejpam-6884	51	22	analysis	analysis	NOUN
ejpam-6884	51	23	under	under	ADP
ejpam-6884	51	24	fuzzy	fuzzy	ADJ
ejpam-6884	51	25	imprecision	imprecision	NOUN
ejpam-6884	51	26	.	.	PUNCT
ejpam-6884	52	1	combining	combine	VERB
ejpam-6884	52	2	fuzzy	fuzzy	ADJ
ejpam-6884	52	3	logic	logic	NOUN
ejpam-6884	52	4	with	with	ADP
ejpam-6884	52	5	fractional	fractional	ADJ
ejpam-6884	52	6	calculus	calculus	NOUN
ejpam-6884	52	7	enhances	enhance	VERB
ejpam-6884	52	8	model	model	NOUN
ejpam-6884	52	9	realism	realism	NOUN
ejpam-6884	52	10	,	,	PUNCT
ejpam-6884	52	11	as	as	SCONJ
ejpam-6884	52	12	demonstrated	demonstrate	VERB
ejpam-6884	52	13	in	in	ADP
ejpam-6884	52	14	fuzzy	fuzzy	ADJ
ejpam-6884	52	15	fractional	fractional	ADJ
ejpam-6884	52	16	covid-19	covid-19	PROPN
ejpam-6884	52	17	models	model	NOUN
ejpam-6884	52	18	[	[	X
ejpam-6884	52	19	51	51	NUM
ejpam-6884	52	20	,	,	PUNCT
ejpam-6884	52	21	52	52	NUM
ejpam-6884	52	22	]	]	PUNCT
ejpam-6884	52	23	and	and	CCONJ
ejpam-6884	52	24	malaria	malaria	NOUN
ejpam-6884	52	25	modelling	modelling	NOUN
ejpam-6884	52	26	[	[	X
ejpam-6884	52	27	53	53	NUM
ejpam-6884	52	28	]	]	PUNCT
ejpam-6884	52	29	.	.	PUNCT
ejpam-6884	53	1	theoretical	theoretical	ADJ
ejpam-6884	53	2	advancements	advancement	NOUN
ejpam-6884	53	3	in	in	ADP
ejpam-6884	53	4	fuzzy	fuzzy	ADJ
ejpam-6884	53	5	fractional	fractional	ADJ
ejpam-6884	53	6	operators	operator	NOUN
ejpam-6884	53	7	have	have	AUX
ejpam-6884	53	8	been	be	AUX
ejpam-6884	53	9	presented	present	VERB
ejpam-6884	53	10	in	in	ADP
ejpam-6884	53	11	[	[	X
ejpam-6884	53	12	54	54	NUM
ejpam-6884	53	13	]	]	PUNCT
ejpam-6884	53	14	,	,	PUNCT
ejpam-6884	53	15	along	along	ADP
ejpam-6884	53	16	with	with	ADP
ejpam-6884	53	17	efficient	efficient	ADJ
ejpam-6884	53	18	numerical	numerical	ADJ
ejpam-6884	53	19	methods	method	NOUN
ejpam-6884	53	20	for	for	ADP
ejpam-6884	53	21	solving	solve	VERB
ejpam-6884	53	22	such	such	ADJ
ejpam-6884	53	23	systems	system	NOUN
ejpam-6884	53	24	[	[	X
ejpam-6884	53	25	55	55	NUM
ejpam-6884	53	26	]	]	PUNCT
ejpam-6884	53	27	.	.	PUNCT
ejpam-6884	54	1	this	this	DET
ejpam-6884	54	2	research	research	NOUN
ejpam-6884	54	3	introduces	introduce	VERB
ejpam-6884	54	4	a	a	DET
ejpam-6884	54	5	new	new	ADJ
ejpam-6884	54	6	fuzzy	fuzzy	ADJ
ejpam-6884	54	7	fractal	fractal	ADJ
ejpam-6884	54	8	fractional	fractional	ADJ
ejpam-6884	54	9	-	-	PUNCT
ejpam-6884	54	10	order	order	NOUN
ejpam-6884	54	11	model	model	NOUN
ejpam-6884	54	12	to	to	PART
ejpam-6884	54	13	study	study	VERB
ejpam-6884	54	14	the	the	DET
ejpam-6884	54	15	spread	spread	NOUN
ejpam-6884	54	16	of	of	ADP
ejpam-6884	54	17	monkeypox	monkeypox	NOUN
ejpam-6884	54	18	.	.	PUNCT
ejpam-6884	55	1	it	it	PRON
ejpam-6884	55	2	is	be	AUX
ejpam-6884	55	3	the	the	DET
ejpam-6884	55	4	first	first	ADJ
ejpam-6884	55	5	approach	approach	NOUN
ejpam-6884	55	6	that	that	PRON
ejpam-6884	55	7	combines	combine	VERB
ejpam-6884	55	8	fuzzy	fuzzy	ADJ
ejpam-6884	55	9	logic	logic	NOUN
ejpam-6884	55	10	with	with	ADP
ejpam-6884	55	11	fractal	fractal	ADJ
ejpam-6884	55	12	-	-	PUNCT
ejpam-6884	55	13	fractional	fractional	ADJ
ejpam-6884	55	14	derivatives	derivative	NOUN
ejpam-6884	55	15	to	to	PART
ejpam-6884	55	16	analyse	analyse	VERB
ejpam-6884	55	17	disease	disease	NOUN
ejpam-6884	55	18	transmission	transmission	NOUN
ejpam-6884	55	19	.	.	PUNCT
ejpam-6884	56	1	unlike	unlike	ADP
ejpam-6884	56	2	existing	exist	VERB
ejpam-6884	56	3	models	model	NOUN
ejpam-6884	56	4	,	,	PUNCT
ejpam-6884	56	5	this	this	DET
ejpam-6884	56	6	framework	framework	NOUN
ejpam-6884	56	7	uniquely	uniquely	ADV
ejpam-6884	56	8	integrates	integrate	VERB
ejpam-6884	56	9	fuzzy	fuzzy	ADJ
ejpam-6884	56	10	triangular	triangular	NOUN
ejpam-6884	56	11	numbers	number	NOUN
ejpam-6884	56	12	into	into	ADP
ejpam-6884	56	13	model	model	NOUN
ejpam-6884	56	14	parameters	parameter	NOUN
ejpam-6884	56	15	and	and	CCONJ
ejpam-6884	56	16	initial	initial	ADJ
ejpam-6884	56	17	conditions	condition	NOUN
ejpam-6884	56	18	,	,	PUNCT
ejpam-6884	56	19	effectively	effectively	ADV
ejpam-6884	56	20	capturing	capture	VERB
ejpam-6884	56	21	the	the	DET
ejpam-6884	56	22	imprecision	imprecision	NOUN
ejpam-6884	56	23	and	and	CCONJ
ejpam-6884	56	24	uncertainty	uncertainty	NOUN
ejpam-6884	56	25	present	present	ADJ
ejpam-6884	56	26	in	in	ADP
ejpam-6884	56	27	real	real	ADJ
ejpam-6884	56	28	-	-	PUNCT
ejpam-6884	56	29	world	world	NOUN
ejpam-6884	56	30	epidemiological	epidemiological	ADJ
ejpam-6884	56	31	data	datum	NOUN
ejpam-6884	56	32	.	.	PUNCT
ejpam-6884	57	1	the	the	DET
ejpam-6884	57	2	use	use	NOUN
ejpam-6884	57	3	of	of	ADP
ejpam-6884	57	4	fractal	fractal	ADJ
ejpam-6884	57	5	-	-	PUNCT
ejpam-6884	57	6	fractional	fractional	ADJ
ejpam-6884	57	7	operators	operator	NOUN
ejpam-6884	57	8	allows	allow	VERB
ejpam-6884	57	9	the	the	DET
ejpam-6884	57	10	model	model	NOUN
ejpam-6884	57	11	to	to	PART
ejpam-6884	57	12	capture	capture	VERB
ejpam-6884	57	13	memory	memory	NOUN
ejpam-6884	57	14	effects	effect	NOUN
ejpam-6884	57	15	and	and	CCONJ
ejpam-6884	57	16	genetic	genetic	ADJ
ejpam-6884	57	17	factors	factor	NOUN
ejpam-6884	57	18	,	,	PUNCT
ejpam-6884	57	19	making	make	VERB
ejpam-6884	57	20	the	the	DET
ejpam-6884	57	21	analysis	analysis	NOUN
ejpam-6884	57	22	more	more	ADV
ejpam-6884	57	23	realistic	realistic	ADJ
ejpam-6884	57	24	and	and	CCONJ
ejpam-6884	57	25	detailed	detailed	ADJ
ejpam-6884	57	26	.	.	PUNCT
ejpam-6884	58	1	the	the	DET
ejpam-6884	58	2	study	study	NOUN
ejpam-6884	58	3	also	also	ADV
ejpam-6884	58	4	makes	make	VERB
ejpam-6884	58	5	additional	additional	ADJ
ejpam-6884	58	6	contributions	contribution	NOUN
ejpam-6884	58	7	by	by	ADP
ejpam-6884	58	8	developing	develop	VERB
ejpam-6884	58	9	the	the	DET
ejpam-6884	58	10	theoretical	theoretical	ADJ
ejpam-6884	58	11	validity	validity	NOUN
ejpam-6884	58	12	of	of	ADP
ejpam-6884	58	13	the	the	DET
ejpam-6884	58	14	intended	intended	ADJ
ejpam-6884	58	15	model	model	NOUN
ejpam-6884	58	16	using	use	VERB
ejpam-6884	58	17	fixed	fix	VERB
ejpam-6884	58	18	-	-	PUNCT
ejpam-6884	58	19	point	point	NOUN
ejpam-6884	58	20	theory	theory	NOUN
ejpam-6884	58	21	and	and	CCONJ
ejpam-6884	58	22	ulam	ulam	NOUN
ejpam-6884	58	23	-	-	PUNCT
ejpam-6884	58	24	hyers	hyer	NOUN
ejpam-6884	58	25	stability	stability	NOUN
ejpam-6884	58	26	to	to	PART
ejpam-6884	58	27	guarantee	guarantee	VERB
ejpam-6884	58	28	the	the	DET
ejpam-6884	58	29	consistency	consistency	NOUN
ejpam-6884	58	30	of	of	ADP
ejpam-6884	58	31	the	the	DET
ejpam-6884	58	32	system	system	NOUN
ejpam-6884	58	33	.	.	PUNCT
ejpam-6884	59	1	numerical	numerical	PROPN
ejpam-6884	59	2	computations	computations	PROPN
ejpam-6884	59	3	illustrate	illustrate	VERB
ejpam-6884	59	4	the	the	DET
ejpam-6884	59	5	impact	impact	NOUN
ejpam-6884	59	6	of	of	ADP
ejpam-6884	59	7	varying	vary	VERB
ejpam-6884	59	8	fractional	fractional	ADJ
ejpam-6884	59	9	orders	order	NOUN
ejpam-6884	59	10	and	and	CCONJ
ejpam-6884	59	11	fuzzy	fuzzy	ADJ
ejpam-6884	59	12	values	value	NOUN
ejpam-6884	59	13	on	on	ADP
ejpam-6884	59	14	main	main	ADJ
ejpam-6884	59	15	population	population	NOUN
ejpam-6884	59	16	compartments	compartment	NOUN
ejpam-6884	59	17	(	(	PUNCT
ejpam-6884	59	18	susceptible	susceptible	ADJ
ejpam-6884	59	19	,	,	PUNCT
ejpam-6884	59	20	exposed	expose	VERB
ejpam-6884	59	21	,	,	PUNCT
ejpam-6884	59	22	infected	infect	VERB
ejpam-6884	59	23	,	,	PUNCT
ejpam-6884	59	24	recovered	recover	VERB
ejpam-6884	59	25	)	)	PUNCT
ejpam-6884	59	26	,	,	PUNCT
ejpam-6884	59	27	thereby	thereby	ADV
ejpam-6884	59	28	highlighting	highlight	VERB
ejpam-6884	59	29	the	the	DET
ejpam-6884	59	30	model	model	NOUN
ejpam-6884	59	31	’s	’s	PART
ejpam-6884	59	32	ability	ability	NOUN
ejpam-6884	59	33	to	to	PART
ejpam-6884	59	34	reflect	reflect	VERB
ejpam-6884	59	35	complex	complex	ADJ
ejpam-6884	59	36	disease	disease	NOUN
ejpam-6884	59	37	behaviour	behaviour	NOUN
ejpam-6884	59	38	more	more	ADV
ejpam-6884	59	39	accurately	accurately	ADV
ejpam-6884	59	40	than	than	ADP
ejpam-6884	59	41	classical	classical	ADJ
ejpam-6884	59	42	or	or	CCONJ
ejpam-6884	59	43	purely	purely	ADV
ejpam-6884	59	44	fractional	fractional	ADJ
ejpam-6884	59	45	models	model	NOUN
ejpam-6884	59	46	.	.	PUNCT
ejpam-6884	60	1	this	this	DET
ejpam-6884	60	2	integrated	integrate	VERB
ejpam-6884	60	3	modelling	modelling	NOUN
ejpam-6884	60	4	framework	framework	NOUN
ejpam-6884	60	5	provides	provide	VERB
ejpam-6884	60	6	valuable	valuable	ADJ
ejpam-6884	60	7	insights	insight	NOUN
ejpam-6884	60	8	for	for	ADP
ejpam-6884	60	9	designing	design	VERB
ejpam-6884	60	10	effective	effective	ADJ
ejpam-6884	60	11	public	public	ADJ
ejpam-6884	60	12	health	health	NOUN
ejpam-6884	60	13	strategies	strategy	NOUN
ejpam-6884	60	14	against	against	ADP
ejpam-6884	60	15	monkeypox	monkeypox	NOUN
ejpam-6884	60	16	,	,	PUNCT
ejpam-6884	60	17	making	make	VERB
ejpam-6884	60	18	it	it	PRON
ejpam-6884	60	19	a	a	DET
ejpam-6884	60	20	significant	significant	ADJ
ejpam-6884	60	21	advancement	advancement	NOUN
ejpam-6884	60	22	in	in	ADP
ejpam-6884	60	23	epidemic	epidemic	NOUN
ejpam-6884	60	24	modelling	model	VERB
ejpam-6884	60	25	literature	literature	NOUN
ejpam-6884	60	26	.	.	PUNCT
ejpam-6884	61	1	2	2	X
ejpam-6884	61	2	.	.	X
ejpam-6884	61	3	preliminaries	preliminary	NOUN
ejpam-6884	61	4	this	this	DET
ejpam-6884	61	5	section	section	NOUN
ejpam-6884	61	6	presents	present	VERB
ejpam-6884	61	7	the	the	DET
ejpam-6884	61	8	essential	essential	ADJ
ejpam-6884	61	9	definitions	definition	NOUN
ejpam-6884	61	10	and	and	CCONJ
ejpam-6884	61	11	foundational	foundational	ADJ
ejpam-6884	61	12	concepts	concept	NOUN
ejpam-6884	61	13	related	relate	VERB
ejpam-6884	61	14	to	to	ADP
ejpam-6884	61	15	fractal	fractal	ADJ
ejpam-6884	61	16	-	-	PUNCT
ejpam-6884	61	17	fractional	fractional	ADJ
ejpam-6884	61	18	differential	differential	ADJ
ejpam-6884	61	19	equations	equation	NOUN
ejpam-6884	61	20	and	and	CCONJ
ejpam-6884	61	21	fuzzy	fuzzy	ADJ
ejpam-6884	61	22	systems	system	NOUN
ejpam-6884	61	23	,	,	PUNCT
ejpam-6884	61	24	which	which	PRON
ejpam-6884	61	25	serve	serve	VERB
ejpam-6884	61	26	as	as	ADP
ejpam-6884	61	27	the	the	DET
ejpam-6884	61	28	theoretical	theoretical	NOUN
ejpam-6884	61	29	v.	v.	ADP
ejpam-6884	61	30	govindan	govindan	PROPN
ejpam-6884	61	31	et	et	PROPN
ejpam-6884	61	32	al	al	PROPN
ejpam-6884	61	33	.	.	PUNCT
ejpam-6884	61	34	/	/	SYM
ejpam-6884	61	35	eur	eur	PROPN
ejpam-6884	61	36	.	.	PUNCT
ejpam-6884	62	1	j.	j.	PROPN
ejpam-6884	62	2	pure	pure	PROPN
ejpam-6884	62	3	appl	appl	PROPN
ejpam-6884	62	4	.	.	PROPN
ejpam-6884	62	5	math	math	PROPN
ejpam-6884	62	6	,	,	PUNCT
ejpam-6884	62	7	18	18	NUM
ejpam-6884	62	8	(	(	PUNCT
ejpam-6884	62	9	4	4	NUM
ejpam-6884	62	10	)	)	PUNCT
ejpam-6884	62	11	(	(	PUNCT
ejpam-6884	62	12	2025	2025	NUM
ejpam-6884	62	13	)	)	PUNCT
ejpam-6884	62	14	,	,	PUNCT
ejpam-6884	62	15	6884	6884	NUM
ejpam-6884	62	16	4	4	NUM
ejpam-6884	62	17	of	of	ADP
ejpam-6884	62	18	29	29	NUM
ejpam-6884	62	19	basis	basis	NOUN
ejpam-6884	62	20	for	for	ADP
ejpam-6884	62	21	this	this	DET
ejpam-6884	62	22	study	study	NOUN
ejpam-6884	62	23	.	.	PUNCT
ejpam-6884	63	1	the	the	DET
ejpam-6884	63	2	treatment	treatment	NOUN
ejpam-6884	63	3	of	of	ADP
ejpam-6884	63	4	fractional	fractional	ADJ
ejpam-6884	63	5	differential	differential	ADJ
ejpam-6884	63	6	equations	equation	NOUN
ejpam-6884	63	7	under	under	ADP
ejpam-6884	63	8	uncertainty	uncertainty	NOUN
ejpam-6884	63	9	is	be	AUX
ejpam-6884	63	10	examined	examine	VERB
ejpam-6884	63	11	in	in	ADP
ejpam-6884	63	12	the	the	DET
ejpam-6884	63	13	work	work	NOUN
ejpam-6884	63	14	of	of	ADP
ejpam-6884	63	15	[	[	X
ejpam-6884	63	16	56	56	NUM
ejpam-6884	63	17	]	]	PUNCT
ejpam-6884	63	18	,	,	PUNCT
ejpam-6884	63	19	while	while	SCONJ
ejpam-6884	63	20	the	the	DET
ejpam-6884	63	21	formulation	formulation	NOUN
ejpam-6884	63	22	of	of	ADP
ejpam-6884	63	23	fuzzy	fuzzy	ADJ
ejpam-6884	63	24	differential	differential	ADJ
ejpam-6884	63	25	equations	equation	NOUN
ejpam-6884	63	26	and	and	CCONJ
ejpam-6884	63	27	fractional	fractional	ADJ
ejpam-6884	63	28	differential	differential	ADJ
ejpam-6884	63	29	equations	equation	NOUN
ejpam-6884	63	30	with	with	ADP
ejpam-6884	63	31	fuzzy	fuzzy	ADJ
ejpam-6884	63	32	initial	initial	ADJ
ejpam-6884	63	33	conditions	condition	NOUN
ejpam-6884	63	34	is	be	AUX
ejpam-6884	63	35	detailed	detail	VERB
ejpam-6884	63	36	in	in	ADP
ejpam-6884	63	37	[	[	X
ejpam-6884	63	38	57	57	NUM
ejpam-6884	63	39	,	,	PUNCT
ejpam-6884	63	40	58	58	NUM
ejpam-6884	63	41	]	]	PUNCT
ejpam-6884	63	42	.	.	PUNCT
ejpam-6884	64	1	collectively	collectively	ADV
ejpam-6884	64	2	,	,	PUNCT
ejpam-6884	64	3	these	these	DET
ejpam-6884	64	4	studies	study	NOUN
ejpam-6884	64	5	provide	provide	VERB
ejpam-6884	64	6	the	the	DET
ejpam-6884	64	7	theoretical	theoretical	ADJ
ejpam-6884	64	8	framework	framework	NOUN
ejpam-6884	64	9	underpinning	underpin	VERB
ejpam-6884	64	10	the	the	DET
ejpam-6884	64	11	present	present	ADJ
ejpam-6884	64	12	research	research	NOUN
ejpam-6884	64	13	.	.	PUNCT
ejpam-6884	65	1	definition	definition	NOUN
ejpam-6884	65	2	1	1	NUM
ejpam-6884	65	3	.	.	PUNCT
ejpam-6884	66	1	the	the	DET
ejpam-6884	66	2	fuzzy	fuzzy	ADJ
ejpam-6884	66	3	set	set	VERB
ejpam-6884	66	4	a	a	DET
ejpam-6884	66	5	consists	consist	NOUN
ejpam-6884	66	6	of	of	ADP
ejpam-6884	66	7	arranged	arranged	ADJ
ejpam-6884	66	8	collections	collection	NOUN
ejpam-6884	66	9	a	a	DET
ejpam-6884	66	10	=	=	SYM
ejpam-6884	66	11	{	{	PUNCT
ejpam-6884	66	12	(	(	PUNCT
ejpam-6884	66	13	x	x	NOUN
ejpam-6884	66	14	,	,	PUNCT
ejpam-6884	66	15	µa(x	µa(x	NOUN
ejpam-6884	66	16	)	)	PUNCT
ejpam-6884	66	17	)	)	PUNCT
ejpam-6884	66	18	:	:	PUNCT
ejpam-6884	67	1	x	x	X
ejpam-6884	67	2	∈	∈	NOUN
ejpam-6884	67	3	x	x	X
ejpam-6884	67	4	}	}	PUNCT
ejpam-6884	67	5	,	,	PUNCT
ejpam-6884	67	6	and	and	CCONJ
ejpam-6884	67	7	the	the	DET
ejpam-6884	67	8	value	value	NOUN
ejpam-6884	67	9	or	or	CCONJ
ejpam-6884	67	10	grade	grade	NOUN
ejpam-6884	67	11	µa(x	µa(x	PROPN
ejpam-6884	67	12	)	)	PUNCT
ejpam-6884	67	13	of	of	ADP
ejpam-6884	67	14	a	a	DET
ejpam-6884	67	15	membership	membership	NOUN
ejpam-6884	67	16	function	function	NOUN
ejpam-6884	67	17	is	be	AUX
ejpam-6884	67	18	an	an	DET
ejpam-6884	67	19	element	element	NOUN
ejpam-6884	67	20	from	from	ADP
ejpam-6884	67	21	x	x	X
ejpam-6884	67	22	→	→	SYM
ejpam-6884	67	23	[	[	X
ejpam-6884	67	24	0	0	NUM
ejpam-6884	67	25	,	,	PUNCT
ejpam-6884	67	26	1	1	NUM
ejpam-6884	67	27	]	]	PUNCT
ejpam-6884	67	28	.	.	PUNCT
ejpam-6884	68	1	definition	definition	NOUN
ejpam-6884	68	2	2	2	NUM
ejpam-6884	68	3	.	.	PUNCT
ejpam-6884	69	1	the	the	DET
ejpam-6884	69	2	triangular	triangular	NOUN
ejpam-6884	69	3	fuzzy	fuzzy	ADJ
ejpam-6884	69	4	number	number	NOUN
ejpam-6884	69	5	represented	represent	VERB
ejpam-6884	69	6	by	by	ADP
ejpam-6884	69	7	three	three	NUM
ejpam-6884	69	8	numbers	number	NOUN
ejpam-6884	69	9	ǎ	ǎ	PROPN
ejpam-6884	69	10	,	,	PUNCT
ejpam-6884	69	11	b̌	b̌	PROPN
ejpam-6884	69	12	,	,	PUNCT
ejpam-6884	69	13	č	č	PROPN
ejpam-6884	69	14	has	have	VERB
ejpam-6884	69	15	its	its	PRON
ejpam-6884	69	16	membership	membership	NOUN
ejpam-6884	69	17	function	function	NOUN
ejpam-6884	69	18	defined	define	VERB
ejpam-6884	69	19	as	as	ADP
ejpam-6884	69	20	µa(x	µa(x	NOUN
ejpam-6884	69	21	)	)	PUNCT
ejpam-6884	69	22	=	=	SYM
ejpam-6884	70	1			PRON
ejpam-6884	70	2	x−ǎ	x−ǎ	PROPN
ejpam-6884	70	3	b̌−ǎ	b̌−ǎ	VERB
ejpam-6884	70	4	if	if	SCONJ
ejpam-6884	70	5	ǎ	ǎ	X
ejpam-6884	70	6	≤	≤	ADV
ejpam-6884	70	7	x	x	SYM
ejpam-6884	70	8	≤	≤	NUM
ejpam-6884	70	9	b̌	b̌	PROPN
ejpam-6884	70	10	č−x	č−x	NOUN
ejpam-6884	70	11	č−b̌	č−b̌	ADV
ejpam-6884	70	12	if	if	SCONJ
ejpam-6884	70	13	b̌	b̌	PROPN
ejpam-6884	70	14	≤	≤	NUM
ejpam-6884	70	15	x	x	PUNCT
ejpam-6884	70	16	≤	≤	NUM
ejpam-6884	70	17	č	č	PROPN
ejpam-6884	70	18	0	0	PUNCT
ejpam-6884	70	19	otherwise	otherwise	ADV
ejpam-6884	70	20	,	,	PUNCT
ejpam-6884	70	21	where	where	SCONJ
ejpam-6884	70	22	ǎ	ǎ	VERB
ejpam-6884	70	23	≤	≤	NOUN
ejpam-6884	70	24	b̌	b̌	PROPN
ejpam-6884	70	25	≤	≤	PROPN
ejpam-6884	70	26	č.	č.	NOUN
ejpam-6884	70	27	therefore	therefore	ADV
ejpam-6884	70	28	a	a	X
ejpam-6884	70	29	=	=	SYM
ejpam-6884	70	30	(	(	PUNCT
ejpam-6884	70	31	ǎ	ǎ	PROPN
ejpam-6884	70	32	,	,	PUNCT
ejpam-6884	70	33	b̌	b̌	PROPN
ejpam-6884	70	34	,	,	PUNCT
ejpam-6884	70	35	č	č	PROPN
ejpam-6884	70	36	)	)	PUNCT
ejpam-6884	70	37	can	can	AUX
ejpam-6884	70	38	be	be	AUX
ejpam-6884	70	39	defined	define	VERB
ejpam-6884	70	40	as	as	ADP
ejpam-6884	70	41	illustrated	illustrate	VERB
ejpam-6884	70	42	in	in	ADP
ejpam-6884	70	43	[	[	X
ejpam-6884	70	44	59	59	NUM
ejpam-6884	70	45	]	]	PUNCT
ejpam-6884	70	46	.	.	PUNCT
ejpam-6884	71	1	an	an	DET
ejpam-6884	71	2	α	α	NOUN
ejpam-6884	71	3	-	-	PUNCT
ejpam-6884	71	4	cut	cut	NOUN
ejpam-6884	71	5	of	of	ADP
ejpam-6884	71	6	fuzzy	fuzzy	ADJ
ejpam-6884	71	7	number	number	NOUN
ejpam-6884	71	8	ã	ã	PROPN
ejpam-6884	71	9	can	can	AUX
ejpam-6884	71	10	be	be	AUX
ejpam-6884	71	11	expressed	express	VERB
ejpam-6884	71	12	by	by	ADP
ejpam-6884	71	13	[	[	X
ejpam-6884	71	14	ãl(α	ãl(α	PROPN
ejpam-6884	71	15	)	)	PUNCT
ejpam-6884	71	16	,	,	PUNCT
ejpam-6884	71	17	ãr(α	ãr(α	PROPN
ejpam-6884	71	18	)	)	PUNCT
ejpam-6884	71	19	]	]	PUNCT
ejpam-6884	72	1	=	=	PUNCT
ejpam-6884	72	2	[	[	X
ejpam-6884	72	3	(	(	PUNCT
ejpam-6884	72	4	1−	1−	NUM
ejpam-6884	72	5	α)ǎ+	α)ǎ+	PROPN
ejpam-6884	72	6	αb̌	αb̌	PROPN
ejpam-6884	72	7	,	,	PUNCT
ejpam-6884	72	8	(	(	PUNCT
ejpam-6884	72	9	1−	1−	NUM
ejpam-6884	72	10	α)č+	α)č+	NOUN
ejpam-6884	72	11	αb̌	αb̌	PROPN
ejpam-6884	72	12	]	]	PUNCT
ejpam-6884	72	13	,	,	PUNCT
ejpam-6884	72	14	∀α	∀α	X
ejpam-6884	72	15	∈	∈	PROPN
ejpam-6884	73	1	[	[	X
ejpam-6884	73	2	0	0	NUM
ejpam-6884	73	3	,	,	PUNCT
ejpam-6884	73	4	1	1	NUM
ejpam-6884	73	5	]	]	PUNCT
ejpam-6884	73	6	.	.	PUNCT
ejpam-6884	74	1	definition	definition	NOUN
ejpam-6884	74	2	3	3	NUM
ejpam-6884	74	3	.	.	PUNCT
ejpam-6884	75	1	a	a	DET
ejpam-6884	75	2	fuzzy	fuzzy	ADJ
ejpam-6884	75	3	set	set	NOUN
ejpam-6884	75	4	ã	ã	PROPN
ejpam-6884	75	5	has	have	VERB
ejpam-6884	75	6	an	an	DET
ejpam-6884	75	7	associated	associated	ADJ
ejpam-6884	75	8	α	α	NOUN
ejpam-6884	75	9	-	-	NOUN
ejpam-6884	75	10	cut	cut	NOUN
ejpam-6884	75	11	at	at	ADP
ejpam-6884	75	12	level	level	NOUN
ejpam-6884	75	13	α	α	PRON
ejpam-6884	75	14	∈	∈	PROPN
ejpam-6884	76	1	[	[	X
ejpam-6884	76	2	0	0	NUM
ejpam-6884	76	3	,	,	PUNCT
ejpam-6884	76	4	1	1	NUM
ejpam-6884	76	5	]	]	PUNCT
ejpam-6884	76	6	,	,	PUNCT
ejpam-6884	76	7	which	which	PRON
ejpam-6884	76	8	is	be	AUX
ejpam-6884	76	9	the	the	DET
ejpam-6884	76	10	crisp	crisp	ADJ
ejpam-6884	76	11	subset	subset	NOUN
ejpam-6884	76	12	of	of	ADP
ejpam-6884	76	13	x	x	PUNCT
ejpam-6884	76	14	containing	contain	VERB
ejpam-6884	76	15	all	all	DET
ejpam-6884	76	16	elements	element	NOUN
ejpam-6884	76	17	whose	whose	DET
ejpam-6884	76	18	membership	membership	NOUN
ejpam-6884	76	19	degree	degree	NOUN
ejpam-6884	76	20	exceeds	exceed	NOUN
ejpam-6884	76	21	or	or	CCONJ
ejpam-6884	76	22	is	be	AUX
ejpam-6884	76	23	equivalent	equivalent	ADJ
ejpam-6884	76	24	to	to	ADP
ejpam-6884	76	25	α	α	PRON
ejpam-6884	76	26	,	,	PUNCT
ejpam-6884	76	27	i.e.	i.e.	X
ejpam-6884	76	28	,	,	PUNCT
ejpam-6884	76	29	ãα	ãα	PRON
ejpam-6884	76	30	=	=	PRON
ejpam-6884	76	31	{	{	PUNCT
ejpam-6884	76	32	x	x	PUNCT
ejpam-6884	76	33	∈	∈	PROPN
ejpam-6884	76	34	x	x	X
ejpam-6884	76	35	|	|	ADV
ejpam-6884	76	36	ã(x	ã(x	PROPN
ejpam-6884	76	37	)	)	PUNCT
ejpam-6884	76	38	≥	≥	NOUN
ejpam-6884	76	39	α	α	NOUN
ejpam-6884	76	40	}	}	PUNCT
ejpam-6884	76	41	,	,	PUNCT
ejpam-6884	76	42	α	α	PROPN
ejpam-6884	76	43	∈	∈	PROPN
ejpam-6884	77	1	[	[	X
ejpam-6884	77	2	0	0	NUM
ejpam-6884	77	3	,	,	PUNCT
ejpam-6884	77	4	1	1	NUM
ejpam-6884	77	5	]	]	PUNCT
ejpam-6884	77	6	.	.	PUNCT
ejpam-6884	78	1	definition	definition	NOUN
ejpam-6884	78	2	4	4	NUM
ejpam-6884	78	3	.	.	PUNCT
ejpam-6884	79	1	(	(	PUNCT
ejpam-6884	79	2	graded	grade	VERB
ejpam-6884	79	3	mean	mean	VERB
ejpam-6884	79	4	integral	integral	ADJ
ejpam-6884	79	5	value	value	NOUN
ejpam-6884	79	6	theorem	theorem	VERB
ejpam-6884	79	7	[	[	X
ejpam-6884	79	8	60	60	NUM
ejpam-6884	79	9	]	]	NUM
ejpam-6884	79	10	)	)	PUNCT
ejpam-6884	79	11	.	.	PUNCT
ejpam-6884	80	1	let	let	VERB
ejpam-6884	80	2	m	m	PRON
ejpam-6884	80	3	∈	∈	VERB
ejpam-6884	81	1	[	[	X
ejpam-6884	81	2	0	0	NUM
ejpam-6884	81	3	,	,	PUNCT
ejpam-6884	81	4	1	1	NUM
ejpam-6884	81	5	]	]	PUNCT
ejpam-6884	81	6	be	be	AUX
ejpam-6884	81	7	the	the	DET
ejpam-6884	81	8	optimism	optimism	NOUN
ejpam-6884	81	9	degree	degree	NOUN
ejpam-6884	81	10	for	for	ADP
ejpam-6884	81	11	a	a	DET
ejpam-6884	81	12	fuzzy	fuzzy	ADJ
ejpam-6884	81	13	number	number	NOUN
ejpam-6884	81	14	.	.	PUNCT
ejpam-6884	82	1	now	now	ADV
ejpam-6884	82	2	,	,	PUNCT
ejpam-6884	82	3	for	for	ADP
ejpam-6884	82	4	a	a	DET
ejpam-6884	82	5	fuzzy	fuzzy	ADJ
ejpam-6884	82	6	number	number	NOUN
ejpam-6884	82	7	ã	ã	PROPN
ejpam-6884	82	8	,	,	PUNCT
ejpam-6884	82	9	the	the	DET
ejpam-6884	82	10	graded	grade	VERB
ejpam-6884	82	11	mean	mean	VERB
ejpam-6884	82	12	integral	integral	ADJ
ejpam-6884	82	13	value	value	NOUN
ejpam-6884	82	14	(	(	PUNCT
ejpam-6884	82	15	gmiv	gmiv	NOUN
ejpam-6884	82	16	)	)	PUNCT
ejpam-6884	82	17	is	be	AUX
ejpam-6884	82	18	defined	define	VERB
ejpam-6884	82	19	in	in	ADP
ejpam-6884	82	20	turn	turn	NOUN
ejpam-6884	82	21	.	.	PUNCT
ejpam-6884	83	1	gf	gf	NOUN
ejpam-6884	83	2	(	(	PUNCT
ejpam-6884	83	3	ã	ã	PROPN
ejpam-6884	83	4	)	)	PUNCT
ejpam-6884	83	5	=	=	SYM
ejpam-6884	84	1	∫	∫	PROPN
ejpam-6884	84	2	1	1	NUM
ejpam-6884	84	3	0	0	NUM
ejpam-6884	85	1	tf	tf	INTJ
ejpam-6884	85	2	{	{	PUNCT
ejpam-6884	85	3	(	(	PUNCT
ejpam-6884	85	4	1−m)i−1	1−m)i−1	NUM
ejpam-6884	85	5	l	l	NOUN
ejpam-6884	85	6	(	(	PUNCT
ejpam-6884	85	7	tf	tf	INTJ
ejpam-6884	85	8	)	)	PUNCT
ejpam-6884	86	1	+	+	NOUN
ejpam-6884	86	2	mi−1	mi−1	PROPN
ejpam-6884	86	3	r	r	NOUN
ejpam-6884	86	4	(	(	PUNCT
ejpam-6884	86	5	tf	tf	INTJ
ejpam-6884	86	6	)	)	PUNCT
ejpam-6884	86	7	}	}	PUNCT
ejpam-6884	86	8	dt∫	dt∫	VERB
ejpam-6884	86	9	1	1	NUM
ejpam-6884	86	10	0	0	NUM
ejpam-6884	86	11	tf	tf	NOUN
ejpam-6884	86	12	dt	dt	NOUN
ejpam-6884	86	13	=	=	SYM
ejpam-6884	86	14	2	2	NUM
ejpam-6884	86	15	∫	∫	NOUN
ejpam-6884	86	16	1	1	NUM
ejpam-6884	86	17	0	0	NUM
ejpam-6884	86	18	tf	tf	INTJ
ejpam-6884	86	19	{	{	PUNCT
ejpam-6884	86	20	(	(	PUNCT
ejpam-6884	86	21	1−m)i−1	1−m)i−1	NUM
ejpam-6884	86	22	l	l	NOUN
ejpam-6884	86	23	(	(	PUNCT
ejpam-6884	86	24	tf	tf	INTJ
ejpam-6884	86	25	)	)	PUNCT
ejpam-6884	87	1	+	+	NOUN
ejpam-6884	87	2	mi−1	mi−1	PROPN
ejpam-6884	87	3	r	r	NOUN
ejpam-6884	87	4	(	(	PUNCT
ejpam-6884	87	5	tf	tf	INTJ
ejpam-6884	87	6	)	)	PUNCT
ejpam-6884	87	7	}	}	PUNCT
ejpam-6884	87	8	dt	dt	X
ejpam-6884	87	9	,	,	PUNCT
ejpam-6884	87	10	where	where	SCONJ
ejpam-6884	87	11	il	il	PROPN
ejpam-6884	87	12	and	and	CCONJ
ejpam-6884	87	13	ir	ir	PROPN
ejpam-6884	87	14	are	be	AUX
ejpam-6884	87	15	the	the	DET
ejpam-6884	87	16	left	left	ADJ
ejpam-6884	87	17	and	and	CCONJ
ejpam-6884	87	18	right	right	ADJ
ejpam-6884	87	19	integral	integral	ADJ
ejpam-6884	87	20	values	value	NOUN
ejpam-6884	87	21	of	of	ADP
ejpam-6884	87	22	a	a	DET
ejpam-6884	87	23	fuzzy	fuzzy	ADJ
ejpam-6884	87	24	number	number	NOUN
ejpam-6884	87	25	ã.	ã.	NOUN
ejpam-6884	87	26	for	for	ADP
ejpam-6884	87	27	triangular	triangular	NOUN
ejpam-6884	87	28	membership	membership	NOUN
ejpam-6884	87	29	function	function	NOUN
ejpam-6884	87	30	,	,	PUNCT
ejpam-6884	87	31	il(tf	il(tf	PROPN
ejpam-6884	87	32	)	)	PUNCT
ejpam-6884	88	1	=	=	PUNCT
ejpam-6884	89	1	tf	tf	NUM
ejpam-6884	89	2	−	−	PROPN
ejpam-6884	89	3	ǎ	ǎ	PROPN
ejpam-6884	89	4	b̌−	b̌−	PROPN
ejpam-6884	89	5	ǎ	ǎ	PROPN
ejpam-6884	89	6	,	,	PUNCT
ejpam-6884	89	7	and	and	CCONJ
ejpam-6884	89	8	ir(tf	ir(tf	PROPN
ejpam-6884	89	9	)	)	PUNCT
ejpam-6884	90	1	=	=	SYM
ejpam-6884	90	2	č−	č−	NOUN
ejpam-6884	90	3	tf	tf	INTJ
ejpam-6884	90	4	č−	č−	PROPN
ejpam-6884	90	5	b̌	b̌	PROPN
ejpam-6884	90	6	,	,	PUNCT
ejpam-6884	90	7	i−1	i−1	PROPN
ejpam-6884	90	8	l	l	PROPN
ejpam-6884	90	9	(	(	PUNCT
ejpam-6884	90	10	tf	tf	INTJ
ejpam-6884	90	11	)	)	PUNCT
ejpam-6884	91	1	=	=	SYM
ejpam-6884	91	2	ǎ+	ǎ+	PROPN
ejpam-6884	91	3	(	(	PUNCT
ejpam-6884	91	4	b̌−	b̌−	PROPN
ejpam-6884	91	5	ǎ)tf	ǎ)tf	PROPN
ejpam-6884	91	6	,	,	PUNCT
ejpam-6884	91	7	i−1	i−1	PROPN
ejpam-6884	91	8	r	r	NOUN
ejpam-6884	91	9	(	(	PUNCT
ejpam-6884	91	10	tf	tf	INTJ
ejpam-6884	91	11	)	)	PUNCT
ejpam-6884	91	12	=	=	SYM
ejpam-6884	91	13	č−	č−	NOUN
ejpam-6884	91	14	(	(	PUNCT
ejpam-6884	91	15	č−	č−	PROPN
ejpam-6884	91	16	b̌)tf	b̌)tf	PROPN
ejpam-6884	91	17	.	.	PUNCT
ejpam-6884	92	1	therefore	therefore	ADV
ejpam-6884	92	2	,	,	PUNCT
ejpam-6884	92	3	the	the	DET
ejpam-6884	92	4	gmiv	gmiv	NOUN
ejpam-6884	92	5	is	be	AUX
ejpam-6884	92	6	given	give	VERB
ejpam-6884	92	7	as	as	ADP
ejpam-6884	92	8	ã	ã	PROPN
ejpam-6884	92	9	=	=	SYM
ejpam-6884	92	10	2	2	NUM
ejpam-6884	92	11	∫	∫	NOUN
ejpam-6884	92	12	1	1	NUM
ejpam-6884	92	13	0	0	NUM
ejpam-6884	92	14	tf	tf	INTJ
ejpam-6884	92	15	{	{	PUNCT
ejpam-6884	92	16	(	(	PUNCT
ejpam-6884	92	17	1−m)i−1	1−m)i−1	NUM
ejpam-6884	92	18	l	l	NOUN
ejpam-6884	92	19	(	(	PUNCT
ejpam-6884	92	20	tf	tf	INTJ
ejpam-6884	92	21	)	)	PUNCT
ejpam-6884	93	1	+	+	NOUN
ejpam-6884	93	2	mi−1	mi−1	PROPN
ejpam-6884	93	3	r	r	NOUN
ejpam-6884	93	4	(	(	PUNCT
ejpam-6884	93	5	tf	tf	INTJ
ejpam-6884	93	6	)	)	PUNCT
ejpam-6884	93	7	}	}	PUNCT
ejpam-6884	93	8	dtf	dtf	PROPN
ejpam-6884	93	9	=	=	NOUN
ejpam-6884	93	10	1	1	NUM
ejpam-6884	93	11	3	3	NUM
ejpam-6884	93	12	[	[	X
ejpam-6884	93	13	(	(	PUNCT
ejpam-6884	93	14	1−m)ǎ+	1−m)ǎ+	NOUN
ejpam-6884	93	15	2b̌+mč	2b̌+mč	NUM
ejpam-6884	93	16	]	]	PUNCT
ejpam-6884	93	17	.	.	PUNCT
ejpam-6884	94	1	v.	v.	ADP
ejpam-6884	94	2	govindan	govindan	PROPN
ejpam-6884	94	3	et	et	PROPN
ejpam-6884	94	4	al	al	PROPN
ejpam-6884	94	5	.	.	PUNCT
ejpam-6884	94	6	/	/	SYM
ejpam-6884	94	7	eur	eur	PROPN
ejpam-6884	94	8	.	.	PUNCT
ejpam-6884	95	1	j.	j.	PROPN
ejpam-6884	95	2	pure	pure	PROPN
ejpam-6884	95	3	appl	appl	PROPN
ejpam-6884	95	4	.	.	PROPN
ejpam-6884	95	5	math	math	PROPN
ejpam-6884	95	6	,	,	PUNCT
ejpam-6884	95	7	18	18	NUM
ejpam-6884	95	8	(	(	PUNCT
ejpam-6884	95	9	4	4	NUM
ejpam-6884	95	10	)	)	PUNCT
ejpam-6884	95	11	(	(	PUNCT
ejpam-6884	95	12	2025	2025	NUM
ejpam-6884	95	13	)	)	PUNCT
ejpam-6884	95	14	,	,	PUNCT
ejpam-6884	95	15	6884	6884	NUM
ejpam-6884	95	16	5	5	NUM
ejpam-6884	95	17	of	of	ADP
ejpam-6884	95	18	29	29	NUM
ejpam-6884	95	19	definition	definition	NOUN
ejpam-6884	95	20	5	5	NUM
ejpam-6884	95	21	.	.	PUNCT
ejpam-6884	95	22	consider	consider	VERB
ejpam-6884	95	23	a	a	DET
ejpam-6884	95	24	function	function	NOUN
ejpam-6884	95	25	f	f	NOUN
ejpam-6884	95	26	:	:	PUNCT
ejpam-6884	95	27	x	x	X
ejpam-6884	95	28	→	→	SYM
ejpam-6884	95	29	y	y	PROPN
ejpam-6884	95	30	be	be	AUX
ejpam-6884	95	31	such	such	ADJ
ejpam-6884	95	32	that	that	SCONJ
ejpam-6884	95	33	x	x	PROPN
ejpam-6884	95	34	and	and	CCONJ
ejpam-6884	95	35	y	y	PROPN
ejpam-6884	95	36	are	be	AUX
ejpam-6884	95	37	crisp	crisp	ADJ
ejpam-6884	95	38	sets	set	NOUN
ejpam-6884	95	39	.	.	PUNCT
ejpam-6884	96	1	let	let	VERB
ejpam-6884	96	2	ã	ã	PROPN
ejpam-6884	96	3	and	and	CCONJ
ejpam-6884	96	4	b̃	b̃	PROPN
ejpam-6884	96	5	be	be	AUX
ejpam-6884	96	6	fuzzy	fuzzy	ADJ
ejpam-6884	96	7	sets	set	NOUN
ejpam-6884	96	8	on	on	ADP
ejpam-6884	96	9	x	x	PUNCT
ejpam-6884	96	10	and	and	CCONJ
ejpam-6884	96	11	y	y	PROPN
ejpam-6884	96	12	respectively	respectively	ADV
ejpam-6884	96	13	.	.	PUNCT
ejpam-6884	97	1	if	if	SCONJ
ejpam-6884	97	2	the	the	DET
ejpam-6884	97	3	membership	membership	NOUN
ejpam-6884	97	4	values	value	NOUN
ejpam-6884	97	5	satisfy	satisfy	VERB
ejpam-6884	97	6	the	the	DET
ejpam-6884	97	7	condition	condition	NOUN
ejpam-6884	97	8	µã(x	µã(x	NOUN
ejpam-6884	97	9	)	)	PUNCT
ejpam-6884	97	10	≤	≤	NOUN
ejpam-6884	97	11	µb̃(x	µb̃(x	NOUN
ejpam-6884	97	12	)	)	PUNCT
ejpam-6884	97	13	,	,	PUNCT
ejpam-6884	97	14	then	then	ADV
ejpam-6884	97	15	the	the	DET
ejpam-6884	97	16	function	function	NOUN
ejpam-6884	97	17	is	be	AUX
ejpam-6884	97	18	termed	term	VERB
ejpam-6884	97	19	a	a	DET
ejpam-6884	97	20	fuzzy	fuzzy	ADJ
ejpam-6884	97	21	function	function	NOUN
ejpam-6884	97	22	with	with	ADP
ejpam-6884	97	23	constraints	constraint	NOUN
ejpam-6884	97	24	defined	define	VERB
ejpam-6884	97	25	over	over	ADP
ejpam-6884	97	26	the	the	DET
ejpam-6884	97	27	fuzzy	fuzzy	ADJ
ejpam-6884	97	28	domain	domain	NOUN
ejpam-6884	97	29	ã	ã	PROPN
ejpam-6884	97	30	and	and	CCONJ
ejpam-6884	97	31	fuzzy	fuzzy	ADJ
ejpam-6884	97	32	range	range	NOUN
ejpam-6884	97	33	b̃.	b̃.	ADJ
ejpam-6884	97	34	definition	definition	NOUN
ejpam-6884	97	35	6	6	NUM
ejpam-6884	97	36	.	.	PUNCT
ejpam-6884	98	1	given	give	VERB
ejpam-6884	98	2	a	a	DET
ejpam-6884	98	3	fuzzy	fuzzy	ADJ
ejpam-6884	98	4	number	number	NOUN
ejpam-6884	98	5	ṽ	ṽ	PROPN
ejpam-6884	98	6	,	,	PUNCT
ejpam-6884	98	7	its	its	PRON
ejpam-6884	98	8	β	β	NOUN
ejpam-6884	98	9	-	-	PUNCT
ejpam-6884	98	10	level	level	NOUN
ejpam-6884	98	11	set	set	NOUN
ejpam-6884	98	12	is	be	AUX
ejpam-6884	98	13	defined	define	VERB
ejpam-6884	98	14	as	as	ADP
ejpam-6884	98	15	[	[	X
ejpam-6884	98	16	ṽ	ṽ	PROPN
ejpam-6884	98	17	]	]	X
ejpam-6884	98	18	β	β	X
ejpam-6884	98	19	=	=	SYM
ejpam-6884	98	20	{	{	PUNCT
ejpam-6884	98	21	x	x	PUNCT
ejpam-6884	98	22	∈	∈	PROPN
ejpam-6884	98	23	r	r	NOUN
ejpam-6884	98	24	|	|	NOUN
ejpam-6884	98	25	ṽ	ṽ	PROPN
ejpam-6884	98	26	(	(	PUNCT
ejpam-6884	98	27	x	x	NOUN
ejpam-6884	98	28	)	)	PUNCT
ejpam-6884	98	29	≥	≥	NOUN
ejpam-6884	98	30	β	β	NOUN
ejpam-6884	98	31	}	}	PUNCT
ejpam-6884	98	32	,	,	PUNCT
ejpam-6884	98	33	where	where	SCONJ
ejpam-6884	98	34	β	β	X
ejpam-6884	98	35	∈	∈	PROPN
ejpam-6884	98	36	(	(	PUNCT
ejpam-6884	98	37	0	0	NUM
ejpam-6884	98	38	,	,	PUNCT
ejpam-6884	98	39	1	1	NUM
ejpam-6884	98	40	]	]	PUNCT
ejpam-6884	98	41	and	and	CCONJ
ejpam-6884	98	42	x	x	SYM
ejpam-6884	98	43	∈	∈	PROPN
ejpam-6884	98	44	r.	r.	PROPN
ejpam-6884	98	45	definition	definition	NOUN
ejpam-6884	98	46	7	7	NUM
ejpam-6884	98	47	.	.	PUNCT
ejpam-6884	98	48	a	a	DET
ejpam-6884	98	49	fuzzy	fuzzy	ADJ
ejpam-6884	98	50	number	number	NOUN
ejpam-6884	98	51	can	can	AUX
ejpam-6884	98	52	be	be	AUX
ejpam-6884	98	53	described	describe	VERB
ejpam-6884	98	54	using	use	VERB
ejpam-6884	98	55	a	a	DET
ejpam-6884	98	56	parametric	parametric	ADJ
ejpam-6884	98	57	form	form	NOUN
ejpam-6884	98	58	as	as	ADP
ejpam-6884	98	59	a	a	DET
ejpam-6884	98	60	pair	pair	NOUN
ejpam-6884	98	61	[	[	X
ejpam-6884	98	62	v	v	X
ejpam-6884	98	63	(	(	PUNCT
ejpam-6884	98	64	ω	ω	NOUN
ejpam-6884	98	65	)	)	PUNCT
ejpam-6884	98	66	,	,	PUNCT
ejpam-6884	98	67	v	v	X
ejpam-6884	98	68	(	(	PUNCT
ejpam-6884	98	69	ω	ω	NOUN
ejpam-6884	98	70	)	)	PUNCT
ejpam-6884	98	71	]	]	PUNCT
ejpam-6884	98	72	where	where	SCONJ
ejpam-6884	98	73	0	0	NUM
ejpam-6884	98	74	≤	≤	NUM
ejpam-6884	98	75	ω	ω	NUM
ejpam-6884	98	76	≤	≤	NUM
ejpam-6884	98	77	1	1	NUM
ejpam-6884	98	78	,	,	PUNCT
ejpam-6884	98	79	satisfying	satisfy	VERB
ejpam-6884	98	80	the	the	DET
ejpam-6884	98	81	following	follow	VERB
ejpam-6884	98	82	conditions	condition	NOUN
ejpam-6884	98	83	:	:	PUNCT
ejpam-6884	98	84	•	•	NUM
ejpam-6884	98	85	v	v	X
ejpam-6884	98	86	(	(	PUNCT
ejpam-6884	98	87	ω	ω	NOUN
ejpam-6884	98	88	)	)	PUNCT
ejpam-6884	98	89	is	be	AUX
ejpam-6884	98	90	a	a	DET
ejpam-6884	98	91	bounded	bounded	ADJ
ejpam-6884	98	92	and	and	CCONJ
ejpam-6884	98	93	non	non	ADJ
ejpam-6884	98	94	-	-	ADJ
ejpam-6884	98	95	decreasing	decrease	VERB
ejpam-6884	98	96	function	function	NOUN
ejpam-6884	98	97	,	,	PUNCT
ejpam-6884	98	98	which	which	PRON
ejpam-6884	98	99	is	be	AUX
ejpam-6884	98	100	right	right	ADJ
ejpam-6884	98	101	-	-	PUNCT
ejpam-6884	98	102	continuous	continuous	ADJ
ejpam-6884	98	103	at	at	ADP
ejpam-6884	98	104	0	0	NUM
ejpam-6884	98	105	,	,	PUNCT
ejpam-6884	98	106	and	and	CCONJ
ejpam-6884	98	107	left	leave	VERB
ejpam-6884	98	108	-	-	PUNCT
ejpam-6884	98	109	continuous	continuous	ADJ
ejpam-6884	98	110	for	for	ADP
ejpam-6884	98	111	(	(	PUNCT
ejpam-6884	98	112	0	0	NUM
ejpam-6884	98	113	,	,	PUNCT
ejpam-6884	98	114	1	1	NUM
ejpam-6884	98	115	)	)	PUNCT
ejpam-6884	98	116	.	.	PUNCT
ejpam-6884	99	1	•	•	NUM
ejpam-6884	99	2	v	v	X
ejpam-6884	99	3	(	(	PUNCT
ejpam-6884	99	4	ω	ω	NOUN
ejpam-6884	99	5	)	)	PUNCT
ejpam-6884	99	6	is	be	AUX
ejpam-6884	99	7	a	a	DET
ejpam-6884	99	8	non	non	ADJ
ejpam-6884	99	9	-	-	ADJ
ejpam-6884	99	10	increasing	increase	VERB
ejpam-6884	99	11	and	and	CCONJ
ejpam-6884	99	12	bounded	bounded	ADJ
ejpam-6884	99	13	function	function	NOUN
ejpam-6884	99	14	on	on	ADP
ejpam-6884	99	15	[	[	X
ejpam-6884	99	16	0	0	NUM
ejpam-6884	99	17	,	,	PUNCT
ejpam-6884	99	18	1	1	NUM
ejpam-6884	99	19	]	]	PUNCT
ejpam-6884	99	20	,	,	PUNCT
ejpam-6884	99	21	right	right	ADJ
ejpam-6884	99	22	-	-	PUNCT
ejpam-6884	99	23	continuous	continuous	ADJ
ejpam-6884	99	24	at	at	ADP
ejpam-6884	99	25	0	0	NUM
ejpam-6884	99	26	.	.	NOUN
ejpam-6884	99	27	•	•	NOUN
ejpam-6884	100	1	it	it	PRON
ejpam-6884	100	2	always	always	ADV
ejpam-6884	100	3	holds	hold	VERB
ejpam-6884	100	4	that	that	SCONJ
ejpam-6884	100	5	v	v	X
ejpam-6884	100	6	(	(	PUNCT
ejpam-6884	100	7	ω	ω	NOUN
ejpam-6884	100	8	)	)	PUNCT
ejpam-6884	100	9	≤	≤	NOUN
ejpam-6884	100	10	v	v	X
ejpam-6884	100	11	(	(	PUNCT
ejpam-6884	100	12	ω	ω	NOUN
ejpam-6884	100	13	)	)	PUNCT
ejpam-6884	100	14	.	.	PUNCT
ejpam-6884	101	1	•	•	NUM
ejpam-6884	101	2	when	when	SCONJ
ejpam-6884	101	3	v	v	X
ejpam-6884	101	4	(	(	PUNCT
ejpam-6884	101	5	ω	ω	NOUN
ejpam-6884	101	6	)	)	PUNCT
ejpam-6884	101	7	=	=	SYM
ejpam-6884	101	8	v	v	X
ejpam-6884	101	9	(	(	PUNCT
ejpam-6884	101	10	ω	ω	NOUN
ejpam-6884	101	11	)	)	PUNCT
ejpam-6884	101	12	=	=	SYM
ejpam-6884	101	13	0	0	NUM
ejpam-6884	101	14	,	,	PUNCT
ejpam-6884	101	15	the	the	DET
ejpam-6884	101	16	fuzzy	fuzzy	ADJ
ejpam-6884	101	17	number	number	NOUN
ejpam-6884	101	18	becomes	become	VERB
ejpam-6884	101	19	a	a	DET
ejpam-6884	101	20	crisp	crisp	ADJ
ejpam-6884	101	21	value	value	NOUN
ejpam-6884	101	22	.	.	PUNCT
ejpam-6884	102	1	definition	definition	NOUN
ejpam-6884	102	2	8	8	NUM
ejpam-6884	102	3	.	.	PUNCT
ejpam-6884	102	4	consider	consider	VERB
ejpam-6884	102	5	a	a	DET
ejpam-6884	102	6	function	function	NOUN
ejpam-6884	102	7	α	α	NOUN
ejpam-6884	102	8	:	:	PUNCT
ejpam-6884	102	9	e	e	X
ejpam-6884	102	10	×	×	NOUN
ejpam-6884	102	11	e	e	X
ejpam-6884	102	12	→	→	SYM
ejpam-6884	102	13	r	r	NOUN
ejpam-6884	102	14	,	,	PUNCT
ejpam-6884	102	15	let	let	VERB
ejpam-6884	102	16	two	two	NUM
ejpam-6884	102	17	fuzzy	fuzzy	ADJ
ejpam-6884	102	18	numbers	number	NOUN
ejpam-6884	102	19	be	be	AUX
ejpam-6884	102	20	p	p	NOUN
ejpam-6884	102	21	=	=	X
ejpam-6884	102	22	(	(	PUNCT
ejpam-6884	102	23	p(ω	p(ω	PROPN
ejpam-6884	102	24	)	)	PUNCT
ejpam-6884	102	25	,	,	PUNCT
ejpam-6884	102	26	p(ω	p(ω	PROPN
ejpam-6884	102	27	)	)	PUNCT
ejpam-6884	102	28	)	)	PUNCT
ejpam-6884	102	29	and	and	CCONJ
ejpam-6884	102	30	q	q	NOUN
ejpam-6884	102	31	=	=	SYM
ejpam-6884	102	32	(	(	PUNCT
ejpam-6884	102	33	q(ω	q(ω	PROPN
ejpam-6884	102	34	)	)	PUNCT
ejpam-6884	102	35	,	,	PUNCT
ejpam-6884	102	36	q(ω	q(ω	NOUN
ejpam-6884	102	37	)	)	PUNCT
ejpam-6884	102	38	)	)	PUNCT
ejpam-6884	102	39	.	.	PUNCT
ejpam-6884	103	1	the	the	DET
ejpam-6884	103	2	hausdorff	hausdorff	NOUN
ejpam-6884	103	3	-	-	PUNCT
ejpam-6884	103	4	type	type	NOUN
ejpam-6884	103	5	metric	metric	ADJ
ejpam-6884	103	6	α(p	α(p	PROPN
ejpam-6884	103	7	,	,	PUNCT
ejpam-6884	103	8	q	q	X
ejpam-6884	103	9	)	)	PUNCT
ejpam-6884	103	10	is	be	AUX
ejpam-6884	103	11	defined	define	VERB
ejpam-6884	103	12	by	by	ADP
ejpam-6884	103	13	:	:	PUNCT
ejpam-6884	103	14	α(p	α(p	PROPN
ejpam-6884	103	15	,	,	PUNCT
ejpam-6884	103	16	q	q	X
ejpam-6884	103	17	)	)	PUNCT
ejpam-6884	103	18	=	=	SYM
ejpam-6884	103	19	sup	sup	NOUN
ejpam-6884	103	20	ω∈[0,1	ω∈[0,1	NUM
ejpam-6884	103	21	]	]	X
ejpam-6884	103	22	max	max	PROPN
ejpam-6884	103	23	{	{	PUNCT
ejpam-6884	103	24	|p(ω)−	|p(ω)−	VERB
ejpam-6884	103	25	q(ω)|	q(ω)|	ADP
ejpam-6884	103	26	,	,	PUNCT
ejpam-6884	103	27	|p(ω)−	|p(ω)−	NOUN
ejpam-6884	103	28	q(ω)|	q(ω)|	ADV
ejpam-6884	103	29	}	}	PUNCT
ejpam-6884	103	30	.	.	PUNCT
ejpam-6884	104	1	this	this	DET
ejpam-6884	104	2	function	function	NOUN
ejpam-6884	104	3	satisfies	satisfy	VERB
ejpam-6884	104	4	the	the	DET
ejpam-6884	104	5	properties	property	NOUN
ejpam-6884	104	6	below	below	ADP
ejpam-6884	104	7	:	:	PUNCT
ejpam-6884	104	8	•	•	NUM
ejpam-6884	104	9	α(p+	α(p+	X
ejpam-6884	104	10	q	q	X
ejpam-6884	104	11	,	,	PUNCT
ejpam-6884	104	12	q	q	PROPN
ejpam-6884	105	1	+	+	X
ejpam-6884	105	2	p	p	X
ejpam-6884	105	3	)	)	PUNCT
ejpam-6884	105	4	=	=	SYM
ejpam-6884	105	5	α(p	α(p	PROPN
ejpam-6884	105	6	,	,	PUNCT
ejpam-6884	105	7	q	q	NOUN
ejpam-6884	105	8	)	)	PUNCT
ejpam-6884	105	9	for	for	ADP
ejpam-6884	105	10	all	all	DET
ejpam-6884	105	11	p	p	NOUN
ejpam-6884	105	12	,	,	PUNCT
ejpam-6884	105	13	q	q	PROPN
ejpam-6884	105	14	∈	∈	PROPN
ejpam-6884	105	15	e.	e.	PROPN
ejpam-6884	105	16	•	•	PUNCT
ejpam-6884	105	17	α(pϱ	α(pϱ	NUM
ejpam-6884	105	18	,	,	PUNCT
ejpam-6884	105	19	qϱ	qϱ	NOUN
ejpam-6884	105	20	)	)	PUNCT
ejpam-6884	105	21	=	=	SYM
ejpam-6884	105	22	|ϱ|α(p	|ϱ|α(p	PROPN
ejpam-6884	105	23	,	,	PUNCT
ejpam-6884	105	24	q	q	NOUN
ejpam-6884	105	25	)	)	PUNCT
ejpam-6884	105	26	for	for	ADP
ejpam-6884	105	27	all	all	DET
ejpam-6884	105	28	p	p	NOUN
ejpam-6884	105	29	,	,	PUNCT
ejpam-6884	105	30	q	q	PUNCT
ejpam-6884	105	31	∈	∈	PROPN
ejpam-6884	105	32	e	e	NOUN
ejpam-6884	105	33	,	,	PUNCT
ejpam-6884	105	34	with	with	ADP
ejpam-6884	105	35	ϱ	ϱ	PROPN
ejpam-6884	105	36	∈	∈	PROPN
ejpam-6884	105	37	r.	r.	PROPN
ejpam-6884	105	38	•	•	NOUN
ejpam-6884	106	1	α(p+	α(p+	X
ejpam-6884	106	2	r	r	NOUN
ejpam-6884	106	3	,	,	PUNCT
ejpam-6884	106	4	q	q	X
ejpam-6884	106	5	+	+	NUM
ejpam-6884	106	6	s	s	X
ejpam-6884	106	7	)	)	PUNCT
ejpam-6884	106	8	≤	≤	NOUN
ejpam-6884	106	9	α(p	α(p	PROPN
ejpam-6884	106	10	,	,	PUNCT
ejpam-6884	106	11	q	q	X
ejpam-6884	106	12	)	)	PUNCT
ejpam-6884	106	13	+	+	CCONJ
ejpam-6884	106	14	α(r	α(r	NOUN
ejpam-6884	106	15	,	,	PUNCT
ejpam-6884	106	16	s	s	NOUN
ejpam-6884	106	17	)	)	PUNCT
ejpam-6884	106	18	for	for	ADP
ejpam-6884	106	19	all	all	DET
ejpam-6884	106	20	p	p	NOUN
ejpam-6884	106	21	,	,	PUNCT
ejpam-6884	106	22	q	q	ADJ
ejpam-6884	106	23	,	,	PUNCT
ejpam-6884	106	24	r	r	NOUN
ejpam-6884	106	25	,	,	PUNCT
ejpam-6884	106	26	s	s	PROPN
ejpam-6884	106	27	∈	∈	PROPN
ejpam-6884	106	28	e.	e.	PROPN
ejpam-6884	107	1	the	the	DET
ejpam-6884	107	2	space	space	NOUN
ejpam-6884	107	3	(	(	PUNCT
ejpam-6884	107	4	e	e	NOUN
ejpam-6884	107	5	,	,	PUNCT
ejpam-6884	107	6	α	α	NOUN
ejpam-6884	107	7	)	)	PUNCT
ejpam-6884	107	8	form	form	NOUN
ejpam-6884	107	9	a	a	DET
ejpam-6884	107	10	complete	complete	ADJ
ejpam-6884	107	11	metric	metric	ADJ
ejpam-6884	107	12	space	space	NOUN
ejpam-6884	107	13	.	.	PUNCT
ejpam-6884	108	1	definition	definition	NOUN
ejpam-6884	108	2	9	9	NUM
ejpam-6884	108	3	.	.	PUNCT
ejpam-6884	109	1	if	if	SCONJ
ejpam-6884	109	2	two	two	NUM
ejpam-6884	109	3	fuzzy	fuzzy	ADJ
ejpam-6884	109	4	numbers	number	NOUN
ejpam-6884	109	5	i1	i1	PROPN
ejpam-6884	109	6	,	,	PUNCT
ejpam-6884	109	7	i2	i2	PROPN
ejpam-6884	109	8	∈	∈	PROPN
ejpam-6884	110	1	e	e	NOUN
ejpam-6884	110	2	satisfy	satisfy	VERB
ejpam-6884	110	3	the	the	DET
ejpam-6884	110	4	relation	relation	NOUN
ejpam-6884	110	5	i1	i1	PROPN
ejpam-6884	110	6	=	=	PROPN
ejpam-6884	110	7	i2	i2	PROPN
ejpam-6884	110	8	+	+	CCONJ
ejpam-6884	110	9	i3	i3	NOUN
ejpam-6884	110	10	for	for	ADP
ejpam-6884	110	11	some	some	DET
ejpam-6884	110	12	fuzzy	fuzzy	ADJ
ejpam-6884	110	13	number	number	NOUN
ejpam-6884	110	14	i3	i3	NOUN
ejpam-6884	110	15	∈	∈	PROPN
ejpam-6884	110	16	e	e	NOUN
ejpam-6884	110	17	,	,	PUNCT
ejpam-6884	110	18	then	then	ADV
ejpam-6884	110	19	i3	i3	NOUN
ejpam-6884	110	20	is	be	AUX
ejpam-6884	110	21	called	call	VERB
ejpam-6884	110	22	the	the	DET
ejpam-6884	110	23	h	h	NOUN
ejpam-6884	110	24	-	-	PUNCT
ejpam-6884	110	25	difference	difference	NOUN
ejpam-6884	110	26	of	of	ADP
ejpam-6884	110	27	i1	i1	PROPN
ejpam-6884	110	28	and	and	CCONJ
ejpam-6884	110	29	i2	i2	PROPN
ejpam-6884	110	30	,	,	PUNCT
ejpam-6884	110	31	and	and	CCONJ
ejpam-6884	110	32	is	be	AUX
ejpam-6884	110	33	denoted	denote	VERB
ejpam-6884	110	34	by	by	ADP
ejpam-6884	110	35	i1	i1	PROPN
ejpam-6884	110	36	⊖	⊖	PROPN
ejpam-6884	110	37	i2	i2	PROPN
ejpam-6884	110	38	.	.	PUNCT
ejpam-6884	111	1	definition	definition	NOUN
ejpam-6884	111	2	10	10	NUM
ejpam-6884	111	3	.	.	PUNCT
ejpam-6884	112	1	consider	consider	VERB
ejpam-6884	112	2	a	a	DET
ejpam-6884	112	3	fuzzy	fuzzy	ADV
ejpam-6884	112	4	-	-	PUNCT
ejpam-6884	112	5	valued	value	VERB
ejpam-6884	112	6	function	function	NOUN
ejpam-6884	112	7	θ	θ	NOUN
ejpam-6884	112	8	:	:	PUNCT
ejpam-6884	113	1	r	r	X
ejpam-6884	113	2	→	→	SYM
ejpam-6884	113	3	e.	e.	PROPN
ejpam-6884	113	4	the	the	DET
ejpam-6884	113	5	function	function	NOUN
ejpam-6884	113	6	θ	θ	PROPN
ejpam-6884	113	7	is	be	AUX
ejpam-6884	113	8	said	say	VERB
ejpam-6884	113	9	to	to	PART
ejpam-6884	113	10	be	be	AUX
ejpam-6884	113	11	continuous	continuous	ADJ
ejpam-6884	113	12	at	at	ADP
ejpam-6884	113	13	a	a	DET
ejpam-6884	113	14	point	point	NOUN
ejpam-6884	113	15	λ0	λ0	NOUN
ejpam-6884	113	16	∈	∈	PROPN
ejpam-6884	113	17	[	[	X
ejpam-6884	113	18	ζ1	ζ1	NOUN
ejpam-6884	113	19	,	,	PUNCT
ejpam-6884	113	20	ζ2	ζ2	NOUN
ejpam-6884	113	21	]	]	PUNCT
ejpam-6884	113	22	,	,	PUNCT
ejpam-6884	113	23	if	if	SCONJ
ejpam-6884	113	24	for	for	ADP
ejpam-6884	113	25	any	any	DET
ejpam-6884	113	26	ε	ε	PROPN
ejpam-6884	113	27	>	>	X
ejpam-6884	113	28	0	0	PROPN
ejpam-6884	113	29	,	,	PUNCT
ejpam-6884	113	30	there	there	PRON
ejpam-6884	113	31	exists	exist	VERB
ejpam-6884	113	32	δ	δ	PROPN
ejpam-6884	113	33	>	>	X
ejpam-6884	113	34	0	0	NUM
ejpam-6884	114	1	such	such	ADJ
ejpam-6884	114	2	that	that	SCONJ
ejpam-6884	114	3	:	:	PUNCT
ejpam-6884	114	4	α(θ(λ),θ(λ0	α(θ(λ),θ(λ0	X
ejpam-6884	114	5	)	)	PUNCT
ejpam-6884	114	6	)	)	PUNCT
ejpam-6884	114	7	<	<	X
ejpam-6884	114	8	ε	ε	PROPN
ejpam-6884	114	9	whenever	whenever	SCONJ
ejpam-6884	114	10	|λ−	|λ−	NOUN
ejpam-6884	114	11	λ0|	λ0|	PROPN
ejpam-6884	114	12	<	<	X
ejpam-6884	114	13	δ	δ	PROPN
ejpam-6884	114	14	.	.	PUNCT
ejpam-6884	115	1	v.	v.	ADP
ejpam-6884	115	2	govindan	govindan	PROPN
ejpam-6884	115	3	et	et	PROPN
ejpam-6884	115	4	al	al	PROPN
ejpam-6884	115	5	.	.	PUNCT
ejpam-6884	115	6	/	/	SYM
ejpam-6884	115	7	eur	eur	PROPN
ejpam-6884	115	8	.	.	PUNCT
ejpam-6884	116	1	j.	j.	PROPN
ejpam-6884	116	2	pure	pure	PROPN
ejpam-6884	116	3	appl	appl	PROPN
ejpam-6884	116	4	.	.	PROPN
ejpam-6884	116	5	math	math	PROPN
ejpam-6884	116	6	,	,	PUNCT
ejpam-6884	116	7	18	18	NUM
ejpam-6884	116	8	(	(	PUNCT
ejpam-6884	116	9	4	4	NUM
ejpam-6884	116	10	)	)	PUNCT
ejpam-6884	116	11	(	(	PUNCT
ejpam-6884	116	12	2025	2025	NUM
ejpam-6884	116	13	)	)	PUNCT
ejpam-6884	116	14	,	,	PUNCT
ejpam-6884	116	15	6884	6884	NUM
ejpam-6884	116	16	6	6	NUM
ejpam-6884	116	17	of	of	ADP
ejpam-6884	116	18	29	29	NUM
ejpam-6884	116	19	definition	definition	NOUN
ejpam-6884	116	20	11	11	NUM
ejpam-6884	116	21	.	.	PUNCT
ejpam-6884	117	1	let	let	VERB
ejpam-6884	117	2	ω(x	ω(x	X
ejpam-6884	117	3	)	)	PUNCT
ejpam-6884	117	4	be	be	AUX
ejpam-6884	117	5	a	a	DET
ejpam-6884	117	6	fuzzy	fuzzy	ADJ
ejpam-6884	117	7	function	function	NOUN
ejpam-6884	117	8	belongs	belong	VERB
ejpam-6884	117	9	to	to	ADP
ejpam-6884	117	10	cf[0	cf[0	PROPN
ejpam-6884	117	11	,	,	PUNCT
ejpam-6884	117	12	b]∩lf[0	b]∩lf[0	PROPN
ejpam-6884	117	13	,	,	PUNCT
ejpam-6884	117	14	b	b	NOUN
ejpam-6884	117	15	]	]	X
ejpam-6884	117	16	,	,	PUNCT
ejpam-6884	117	17	and	and	CCONJ
ejpam-6884	117	18	represented	represent	VERB
ejpam-6884	117	19	as	as	ADP
ejpam-6884	117	20	ω	ω	NOUN
ejpam-6884	117	21	=	=	PUNCT
ejpam-6884	118	1	[	[	X
ejpam-6884	118	2	ωp(x	ωp(x	NUM
ejpam-6884	118	3	)	)	PUNCT
ejpam-6884	118	4	,	,	PUNCT
ejpam-6884	118	5	ωp(x	ωp(x	NUM
ejpam-6884	118	6	)	)	PUNCT
ejpam-6884	118	7	]	]	PUNCT
ejpam-6884	118	8	for	for	ADP
ejpam-6884	118	9	0	0	NUM
ejpam-6884	118	10	≤	≤	NOUN
ejpam-6884	118	11	p	p	NOUN
ejpam-6884	118	12	≤	≤	NUM
ejpam-6884	118	13	1	1	NUM
ejpam-6884	118	14	.	.	PUNCT
ejpam-6884	119	1	the	the	DET
ejpam-6884	119	2	caputo	caputo	PROPN
ejpam-6884	119	3	type	type	NOUN
ejpam-6884	119	4	fuzzy	fuzzy	ADJ
ejpam-6884	119	5	fractional	fractional	ADJ
ejpam-6884	119	6	derivative	derivative	NOUN
ejpam-6884	119	7	is	be	AUX
ejpam-6884	119	8	:	:	PUNCT
ejpam-6884	120	1	[	[	X
ejpam-6884	120	2	dβω(x0)]p	dβω(x0)]p	X
ejpam-6884	120	3	=	=	PUNCT
ejpam-6884	120	4	[	[	X
ejpam-6884	120	5	dβωp(x0	dβωp(x0	NOUN
ejpam-6884	120	6	)	)	PUNCT
ejpam-6884	120	7	,	,	PUNCT
ejpam-6884	120	8	d	d	X
ejpam-6884	120	9	βωp(x0	βωp(x0	PROPN
ejpam-6884	120	10	)	)	PUNCT
ejpam-6884	120	11	]	]	X
ejpam-6884	120	12	,	,	PUNCT
ejpam-6884	120	13	0	0	NUM
ejpam-6884	120	14	≤	≤	NUM
ejpam-6884	120	15	β	β	X
ejpam-6884	120	16	≤	≤	NUM
ejpam-6884	120	17	1	1	NUM
ejpam-6884	120	18	,	,	PUNCT
ejpam-6884	120	19	where	where	SCONJ
ejpam-6884	120	20	dβωp(x0	dβωp(x0	NOUN
ejpam-6884	120	21	)	)	PUNCT
ejpam-6884	120	22	=	=	SYM
ejpam-6884	120	23	1	1	NUM
ejpam-6884	120	24	γ(n−	γ(n−	PROPN
ejpam-6884	120	25	β	β	NOUN
ejpam-6884	120	26	)	)	PUNCT
ejpam-6884	121	1	[	[	X
ejpam-6884	121	2	∫	∫	X
ejpam-6884	121	3	x	x	SYM
ejpam-6884	121	4	0	0	NUM
ejpam-6884	121	5	(	(	PUNCT
ejpam-6884	121	6	x−	x−	PROPN
ejpam-6884	121	7	ζ)n−β−1	ζ)n−β−1	PROPN
ejpam-6884	121	8	d	d	PROPN
ejpam-6884	121	9	n	n	PRON
ejpam-6884	121	10	dζn	dζn	NOUN
ejpam-6884	121	11	ωp(ζ	ωp(ζ	PUNCT
ejpam-6884	121	12	)	)	PUNCT
ejpam-6884	121	13	dζ	dζ	PROPN
ejpam-6884	121	14	]	]	PUNCT
ejpam-6884	121	15	x	x	X
ejpam-6884	121	16	=	=	NOUN
ejpam-6884	121	17	x0	x0	PROPN
ejpam-6884	121	18	,	,	PUNCT
ejpam-6884	121	19	dβωp(x0	dβωp(x0	PROPN
ejpam-6884	121	20	)	)	PUNCT
ejpam-6884	121	21	=	=	SYM
ejpam-6884	121	22	1	1	NUM
ejpam-6884	121	23	γ(n−	γ(n−	PROPN
ejpam-6884	121	24	β	β	NOUN
ejpam-6884	121	25	)	)	PUNCT
ejpam-6884	122	1	[	[	X
ejpam-6884	122	2	∫	∫	X
ejpam-6884	122	3	x	x	SYM
ejpam-6884	122	4	0	0	NUM
ejpam-6884	122	5	(	(	PUNCT
ejpam-6884	122	6	x−	x−	PROPN
ejpam-6884	122	7	ζ)n−β−1	ζ)n−β−1	PROPN
ejpam-6884	122	8	d	d	PROPN
ejpam-6884	122	9	n	n	PRON
ejpam-6884	122	10	dζn	dζn	NOUN
ejpam-6884	122	11	ωp(ζ	ωp(ζ	PUNCT
ejpam-6884	122	12	)	)	PUNCT
ejpam-6884	122	13	dζ	dζ	PROPN
ejpam-6884	122	14	]	]	PUNCT
ejpam-6884	122	15	x	x	X
ejpam-6884	122	16	=	=	NOUN
ejpam-6884	122	17	x0	x0	PROPN
ejpam-6884	122	18	.	.	PUNCT
ejpam-6884	123	1	with	with	ADP
ejpam-6884	123	2	n	n	NOUN
ejpam-6884	123	3	=	=	SYM
ejpam-6884	123	4	⌈β⌉	⌈β⌉	NOUN
ejpam-6884	123	5	provided	provide	VERB
ejpam-6884	123	6	the	the	DET
ejpam-6884	123	7	integral	integral	ADJ
ejpam-6884	123	8	exists	exist	NOUN
ejpam-6884	123	9	.	.	PUNCT
ejpam-6884	124	1	definition	definition	NOUN
ejpam-6884	124	2	12	12	NUM
ejpam-6884	124	3	.	.	PUNCT
ejpam-6884	124	4	suppose	suppose	VERB
ejpam-6884	124	5	a	a	DET
ejpam-6884	124	6	fuzzy	fuzzy	ADJ
ejpam-6884	124	7	function	function	NOUN
ejpam-6884	124	8	ũ	ũ	PROPN
ejpam-6884	124	9	is	be	AUX
ejpam-6884	124	10	defined	define	VERB
ejpam-6884	124	11	as	as	ADP
ejpam-6884	124	12	ũ	ũ	PROPN
ejpam-6884	124	13	=	=	PUNCT
ejpam-6884	124	14	[	[	X
ejpam-6884	124	15	up(x	up(x	NOUN
ejpam-6884	124	16	)	)	PUNCT
ejpam-6884	124	17	,	,	PUNCT
ejpam-6884	124	18	up(x	up(x	NOUN
ejpam-6884	124	19	)	)	PUNCT
ejpam-6884	124	20	]	]	PUNCT
ejpam-6884	124	21	for	for	ADP
ejpam-6884	124	22	0	0	NUM
ejpam-6884	124	23	≤	≤	NOUN
ejpam-6884	124	24	p	p	NOUN
ejpam-6884	124	25	≤	≤	NUM
ejpam-6884	124	26	1	1	NUM
ejpam-6884	124	27	.	.	PUNCT
ejpam-6884	125	1	the	the	DET
ejpam-6884	125	2	riemann	riemann	PROPN
ejpam-6884	125	3	-	-	PUNCT
ejpam-6884	125	4	liouville	liouville	NOUN
ejpam-6884	125	5	type	type	NOUN
ejpam-6884	125	6	fuzzy	fuzzy	ADJ
ejpam-6884	125	7	fractal	fractal	ADJ
ejpam-6884	125	8	fractional	fractional	ADJ
ejpam-6884	125	9	derivative	derivative	NOUN
ejpam-6884	125	10	involving	involve	VERB
ejpam-6884	125	11	the	the	DET
ejpam-6884	125	12	generalized	generalized	ADJ
ejpam-6884	125	13	mittag	mittag	ADJ
ejpam-6884	125	14	-	-	PUNCT
ejpam-6884	125	15	leffler	leffler	NOUN
ejpam-6884	125	16	kernel	kernel	NOUN
ejpam-6884	125	17	function	function	NOUN
ejpam-6884	125	18	is	be	AUX
ejpam-6884	125	19	given	give	VERB
ejpam-6884	125	20	by	by	ADP
ejpam-6884	125	21	(	(	PUNCT
ejpam-6884	125	22	ffm	ffm	NOUN
ejpam-6884	125	23	0	0	NUM
ejpam-6884	125	24	)	)	PUNCT
ejpam-6884	125	25	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	125	26	)	)	PUNCT
ejpam-6884	125	27	τ	τ	PROPN
ejpam-6884	125	28	(	(	PUNCT
ejpam-6884	125	29	ũ(τ	ũ(τ	PROPN
ejpam-6884	125	30	)	)	PUNCT
ejpam-6884	125	31	)	)	PUNCT
ejpam-6884	126	1	=	=	SYM
ejpam-6884	126	2	ab(ϑ	ab(ϑ	X
ejpam-6884	126	3	)	)	PUNCT
ejpam-6884	126	4	1−	1−	NUM
ejpam-6884	126	5	ϑ	ϑ	X
ejpam-6884	126	6	d	d	X
ejpam-6884	126	7	dtη	dtη	PROPN
ejpam-6884	126	8	∫	∫	PROPN
ejpam-6884	126	9	τ	τ	X
ejpam-6884	126	10	0	0	PROPN
ejpam-6884	126	11	eϑ	eϑ	PROPN
ejpam-6884	126	12	[	[	PUNCT
ejpam-6884	126	13	−	−	X
ejpam-6884	126	14	ϑ	ϑ	X
ejpam-6884	126	15	1−	1−	NUM
ejpam-6884	126	16	ϑ	ϑ	X
ejpam-6884	126	17	(	(	PUNCT
ejpam-6884	126	18	τ	τ	PROPN
ejpam-6884	126	19	−	−	PROPN
ejpam-6884	126	20	ψ)ϑũ(ψ	ψ)ϑũ(ψ	PROPN
ejpam-6884	126	21	)	)	PUNCT
ejpam-6884	126	22	dψ	dψ	NOUN
ejpam-6884	126	23	]	]	PUNCT
ejpam-6884	126	24	.	.	PUNCT
ejpam-6884	127	1	(	(	PUNCT
ejpam-6884	127	2	1	1	X
ejpam-6884	127	3	)	)	PUNCT
ejpam-6884	127	4	where	where	SCONJ
ejpam-6884	127	5	0	0	PUNCT
ejpam-6884	127	6	<	<	X
ejpam-6884	127	7	ϑ	ϑ	X
ejpam-6884	127	8	,	,	PUNCT
ejpam-6884	127	9	η	η	PROPN
ejpam-6884	127	10	≤	≤	ADJ
ejpam-6884	127	11	1	1	NUM
ejpam-6884	127	12	and	and	CCONJ
ejpam-6884	127	13	ab(ϑ	ab(ϑ	NOUN
ejpam-6884	127	14	)	)	PUNCT
ejpam-6884	127	15	=	=	SYM
ejpam-6884	128	1	1−	1−	NUM
ejpam-6884	128	2	ϑ+	ϑ+	X
ejpam-6884	128	3	ϑ	ϑ	X
ejpam-6884	128	4	⌈ϑ⌉	⌈ϑ⌉	NOUN
ejpam-6884	128	5	.	.	PUNCT
ejpam-6884	129	1	the	the	DET
ejpam-6884	129	2	associated	associated	ADJ
ejpam-6884	129	3	integral	integral	ADJ
ejpam-6884	129	4	operator	operator	NOUN
ejpam-6884	129	5	for	for	ADP
ejpam-6884	129	6	this	this	DET
ejpam-6884	129	7	derivative	derivative	NOUN
ejpam-6884	129	8	is	be	AUX
ejpam-6884	129	9	defined	define	VERB
ejpam-6884	129	10	as	as	ADP
ejpam-6884	129	11	:	:	PUNCT
ejpam-6884	129	12	(	(	PUNCT
ejpam-6884	129	13	ffm	ffm	NOUN
ejpam-6884	129	14	0	0	NUM
ejpam-6884	129	15	)	)	PUNCT
ejpam-6884	129	16	i(η,ϑ)τ	i(η,ϑ)τ	X
ejpam-6884	129	17	(	(	PUNCT
ejpam-6884	129	18	ũ(τ	ũ(τ	PROPN
ejpam-6884	129	19	)	)	PUNCT
ejpam-6884	129	20	)	)	PUNCT
ejpam-6884	130	1	=	=	SYM
ejpam-6884	130	2	η(1−	η(1−	PROPN
ejpam-6884	130	3	ϑ)τη−1ũ(τ	ϑ)τη−1ũ(τ	NOUN
ejpam-6884	130	4	)	)	PUNCT
ejpam-6884	130	5	ab(ϑ	ab(ϑ	PUNCT
ejpam-6884	130	6	)	)	PUNCT
ejpam-6884	131	1	+	+	CCONJ
ejpam-6884	131	2	ηϑ	ηϑ	ADP
ejpam-6884	131	3	ab(ϑ)⌈ϑ⌉	ab(ϑ)⌈ϑ⌉	NOUN
ejpam-6884	131	4	×	×	PROPN
ejpam-6884	131	5	∫	∫	PROPN
ejpam-6884	131	6	τ	τ	PROPN
ejpam-6884	131	7	0	0	PROPN
ejpam-6884	131	8	ψη−1(τ	ψη−1(τ	NOUN
ejpam-6884	131	9	−	−	PROPN
ejpam-6884	131	10	ψ)ϑ−1ũ(ψ	ψ)ϑ−1ũ(ψ	NOUN
ejpam-6884	131	11	)	)	PUNCT
ejpam-6884	131	12	dψ	dψ	NOUN
ejpam-6884	131	13	.	.	PUNCT
ejpam-6884	132	1	(	(	PUNCT
ejpam-6884	132	2	2	2	NUM
ejpam-6884	132	3	)	)	PUNCT
ejpam-6884	132	4	3	3	NUM
ejpam-6884	132	5	.	.	PUNCT
ejpam-6884	132	6	model	model	NOUN
ejpam-6884	132	7	formulation	formulation	NOUN
ejpam-6884	132	8	this	this	DET
ejpam-6884	132	9	section	section	NOUN
ejpam-6884	132	10	formulates	formulate	VERB
ejpam-6884	132	11	a	a	DET
ejpam-6884	132	12	fuzzy	fuzzy	ADJ
ejpam-6884	132	13	fractal	fractal	ADJ
ejpam-6884	132	14	-	-	PUNCT
ejpam-6884	132	15	fractional	fractional	ADJ
ejpam-6884	132	16	mathematical	mathematical	ADJ
ejpam-6884	132	17	framework	framework	NOUN
ejpam-6884	132	18	to	to	PART
ejpam-6884	132	19	study	study	VERB
ejpam-6884	132	20	monkeypox	monkeypox	NOUN
ejpam-6884	132	21	disease	disease	NOUN
ejpam-6884	132	22	dynamics	dynamic	NOUN
ejpam-6884	132	23	considering	consider	VERB
ejpam-6884	132	24	interactions	interaction	NOUN
ejpam-6884	132	25	between	between	ADP
ejpam-6884	132	26	human	human	ADJ
ejpam-6884	132	27	-	-	PUNCT
ejpam-6884	132	28	animal	animal	NOUN
ejpam-6884	132	29	populations	population	NOUN
ejpam-6884	132	30	.	.	PUNCT
ejpam-6884	133	1	the	the	DET
ejpam-6884	133	2	operator	operator	NOUN
ejpam-6884	133	3	of	of	ADP
ejpam-6884	133	4	the	the	DET
ejpam-6884	133	5	fractional	fractional	ADJ
ejpam-6884	133	6	derivative	derivative	ADJ
ejpam-6884	133	7	atangana	atangana	PROPN
ejpam-6884	133	8	-	-	PUNCT
ejpam-6884	133	9	baleanu	baleanu	PROPN
ejpam-6884	133	10	-	-	PUNCT
ejpam-6884	133	11	caputo	caputo	PROPN
ejpam-6884	133	12	(	(	PUNCT
ejpam-6884	133	13	abc	abc	PROPN
ejpam-6884	133	14	)	)	PUNCT
ejpam-6884	133	15	,	,	PUNCT
ejpam-6884	133	16	involving	involve	VERB
ejpam-6884	133	17	memory	memory	NOUN
ejpam-6884	133	18	effects	effect	NOUN
ejpam-6884	133	19	as	as	ADV
ejpam-6884	133	20	well	well	ADV
ejpam-6884	133	21	as	as	ADP
ejpam-6884	133	22	local	local	ADJ
ejpam-6884	133	23	behaviours	behaviour	NOUN
ejpam-6884	133	24	in	in	ADP
ejpam-6884	133	25	existence	existence	NOUN
ejpam-6884	133	26	within	within	ADP
ejpam-6884	133	27	biological	biological	ADJ
ejpam-6884	133	28	environments	environment	NOUN
ejpam-6884	133	29	,	,	PUNCT
ejpam-6884	133	30	is	be	AUX
ejpam-6884	133	31	adopted	adopt	VERB
ejpam-6884	133	32	in	in	ADP
ejpam-6884	133	33	the	the	DET
ejpam-6884	133	34	proposed	propose	VERB
ejpam-6884	133	35	model	model	NOUN
ejpam-6884	133	36	.	.	PUNCT
ejpam-6884	134	1	to	to	PART
ejpam-6884	134	2	further	far	ADV
ejpam-6884	134	3	enhance	enhance	VERB
ejpam-6884	134	4	the	the	DET
ejpam-6884	134	5	model	model	NOUN
ejpam-6884	134	6	’s	’s	PART
ejpam-6884	134	7	realism	realism	NOUN
ejpam-6884	134	8	,	,	PUNCT
ejpam-6884	134	9	fuzzy	fuzzy	ADJ
ejpam-6884	134	10	set	set	NOUN
ejpam-6884	134	11	theory	theory	NOUN
ejpam-6884	134	12	is	be	AUX
ejpam-6884	134	13	employed	employ	VERB
ejpam-6884	134	14	to	to	PART
ejpam-6884	134	15	account	account	VERB
ejpam-6884	134	16	for	for	ADP
ejpam-6884	134	17	uncertainty	uncertainty	NOUN
ejpam-6884	134	18	and	and	CCONJ
ejpam-6884	134	19	imprecision	imprecision	NOUN
ejpam-6884	134	20	in	in	ADP
ejpam-6884	134	21	parameter	parameter	NOUN
ejpam-6884	134	22	estimation	estimation	NOUN
ejpam-6884	134	23	,	,	PUNCT
ejpam-6884	134	24	such	such	ADJ
ejpam-6884	134	25	as	as	ADP
ejpam-6884	134	26	contact	contact	NOUN
ejpam-6884	134	27	rates	rate	NOUN
ejpam-6884	134	28	,	,	PUNCT
ejpam-6884	134	29	recovery	recovery	NOUN
ejpam-6884	134	30	rates	rate	NOUN
ejpam-6884	134	31	,	,	PUNCT
ejpam-6884	134	32	and	and	CCONJ
ejpam-6884	134	33	transition	transition	NOUN
ejpam-6884	134	34	probabilities	probability	NOUN
ejpam-6884	134	35	.	.	PUNCT
ejpam-6884	135	1	moreover	moreover	ADV
ejpam-6884	135	2	,	,	PUNCT
ejpam-6884	135	3	the	the	DET
ejpam-6884	135	4	model	model	NOUN
ejpam-6884	135	5	integrates	integrate	VERB
ejpam-6884	135	6	fractal	fractal	ADJ
ejpam-6884	135	7	dimension	dimension	NOUN
ejpam-6884	135	8	through	through	ADP
ejpam-6884	135	9	a	a	DET
ejpam-6884	135	10	fractal	fractal	ADJ
ejpam-6884	135	11	-	-	PUNCT
ejpam-6884	135	12	fractional	fractional	ADJ
ejpam-6884	135	13	framework	framework	NOUN
ejpam-6884	135	14	,	,	PUNCT
ejpam-6884	135	15	allowing	allow	VERB
ejpam-6884	135	16	a	a	DET
ejpam-6884	135	17	more	more	ADV
ejpam-6884	135	18	generalized	generalized	ADJ
ejpam-6884	135	19	and	and	CCONJ
ejpam-6884	135	20	flexible	flexible	ADJ
ejpam-6884	135	21	representation	representation	NOUN
ejpam-6884	135	22	of	of	ADP
ejpam-6884	135	23	the	the	DET
ejpam-6884	135	24	complex	complex	ADJ
ejpam-6884	135	25	dynamics	dynamic	NOUN
ejpam-6884	135	26	of	of	ADP
ejpam-6884	135	27	disease	disease	NOUN
ejpam-6884	135	28	spread	spread	VERB
ejpam-6884	135	29	across	across	ADP
ejpam-6884	135	30	heterogeneous	heterogeneous	ADJ
ejpam-6884	135	31	populations	population	NOUN
ejpam-6884	135	32	.	.	PUNCT
ejpam-6884	136	1	by	by	ADP
ejpam-6884	136	2	merging	merge	VERB
ejpam-6884	136	3	these	these	DET
ejpam-6884	136	4	higher	high	ADJ
ejpam-6884	136	5	-	-	PUNCT
ejpam-6884	136	6	level	level	NOUN
ejpam-6884	136	7	mathematical	mathematical	ADJ
ejpam-6884	136	8	tools	tool	NOUN
ejpam-6884	136	9	,	,	PUNCT
ejpam-6884	136	10	the	the	DET
ejpam-6884	136	11	model	model	NOUN
ejpam-6884	136	12	offers	offer	VERB
ejpam-6884	136	13	a	a	DET
ejpam-6884	136	14	strong	strong	ADJ
ejpam-6884	136	15	and	and	CCONJ
ejpam-6884	136	16	inclusive	inclusive	ADJ
ejpam-6884	136	17	framework	framework	NOUN
ejpam-6884	136	18	for	for	ADP
ejpam-6884	136	19	analysing	analyse	VERB
ejpam-6884	136	20	the	the	DET
ejpam-6884	136	21	dynamics	dynamic	NOUN
ejpam-6884	136	22	and	and	CCONJ
ejpam-6884	136	23	control	control	NOUN
ejpam-6884	136	24	of	of	ADP
ejpam-6884	136	25	monkeypox	monkeypox	NOUN
ejpam-6884	136	26	in	in	ADP
ejpam-6884	136	27	an	an	DET
ejpam-6884	136	28	uncertain	uncertain	ADJ
ejpam-6884	136	29	and	and	CCONJ
ejpam-6884	136	30	complex	complex	ADJ
ejpam-6884	136	31	biological	biological	ADJ
ejpam-6884	136	32	memory	memory	NOUN
ejpam-6884	136	33	environment	environment	NOUN
ejpam-6884	136	34	.	.	PUNCT
ejpam-6884	137	1	3.1	3.1	NUM
ejpam-6884	137	2	.	.	PUNCT
ejpam-6884	137	3	evolution	evolution	NOUN
ejpam-6884	137	4	of	of	ADP
ejpam-6884	137	5	human	human	ADJ
ejpam-6884	137	6	population	population	NOUN
ejpam-6884	137	7	there	there	PRON
ejpam-6884	137	8	are	be	VERB
ejpam-6884	137	9	various	various	ADJ
ejpam-6884	137	10	compartments	compartment	NOUN
ejpam-6884	137	11	in	in	ADP
ejpam-6884	137	12	the	the	DET
ejpam-6884	137	13	human	human	ADJ
ejpam-6884	137	14	population	population	NOUN
ejpam-6884	137	15	:	:	PUNCT
ejpam-6884	137	16	•	•	NUM
ejpam-6884	137	17	sh(τ	sh(τ	NUM
ejpam-6884	137	18	):	):	PUNCT
ejpam-6884	137	19	susceptible	susceptible	ADJ
ejpam-6884	137	20	humans	human	NOUN
ejpam-6884	137	21	v.	v.	ADP
ejpam-6884	137	22	govindan	govindan	PROPN
ejpam-6884	137	23	et	et	PROPN
ejpam-6884	137	24	al	al	PROPN
ejpam-6884	137	25	.	.	PUNCT
ejpam-6884	137	26	/	/	SYM
ejpam-6884	137	27	eur	eur	PROPN
ejpam-6884	137	28	.	.	PUNCT
ejpam-6884	138	1	j.	j.	PROPN
ejpam-6884	138	2	pure	pure	PROPN
ejpam-6884	138	3	appl	appl	PROPN
ejpam-6884	138	4	.	.	PROPN
ejpam-6884	138	5	math	math	PROPN
ejpam-6884	138	6	,	,	PUNCT
ejpam-6884	138	7	18	18	NUM
ejpam-6884	138	8	(	(	PUNCT
ejpam-6884	138	9	4	4	NUM
ejpam-6884	138	10	)	)	PUNCT
ejpam-6884	138	11	(	(	PUNCT
ejpam-6884	138	12	2025	2025	NUM
ejpam-6884	138	13	)	)	PUNCT
ejpam-6884	138	14	,	,	PUNCT
ejpam-6884	138	15	6884	6884	NUM
ejpam-6884	138	16	7	7	NUM
ejpam-6884	138	17	of	of	ADP
ejpam-6884	138	18	29	29	NUM
ejpam-6884	138	19	•	•	NUM
ejpam-6884	138	20	ih(τ	ih(τ	PUNCT
ejpam-6884	138	21	):	):	PUNCT
ejpam-6884	138	22	infected	infect	VERB
ejpam-6884	138	23	humans	human	NOUN
ejpam-6884	138	24	•	•	ADV
ejpam-6884	138	25	th(τ	th(τ	NUM
ejpam-6884	138	26	):	):	PUNCT
ejpam-6884	138	27	treated	treat	VERB
ejpam-6884	138	28	(	(	PUNCT
ejpam-6884	138	29	or	or	CCONJ
ejpam-6884	138	30	isolated	isolated	ADJ
ejpam-6884	138	31	)	)	PUNCT
ejpam-6884	138	32	humans	human	NOUN
ejpam-6884	138	33	•	•	NOUN
ejpam-6884	138	34	rh(τ	rh(τ	NUM
ejpam-6884	138	35	):	):	PUNCT
ejpam-6884	138	36	recovered	recover	VERB
ejpam-6884	138	37	humans	human	NOUN
ejpam-6884	138	38	•	•	ADV
ejpam-6884	138	39	ph(τ	ph(τ	NUM
ejpam-6884	138	40	):	):	PUNCT
ejpam-6884	138	41	protected	protect	VERB
ejpam-6884	138	42	humans	human	NOUN
ejpam-6884	138	43	let	let	VERB
ejpam-6884	138	44	nh	nh	NOUN
ejpam-6884	138	45	=	=	PUNCT
ejpam-6884	138	46	sh(τ	sh(τ	NOUN
ejpam-6884	138	47	)	)	PUNCT
ejpam-6884	138	48	+	+	NUM
ejpam-6884	138	49	ih(τ	ih(τ	NOUN
ejpam-6884	138	50	)	)	PUNCT
ejpam-6884	139	1	+	+	CCONJ
ejpam-6884	139	2	th(τ	th(τ	X
ejpam-6884	139	3	)	)	PUNCT
ejpam-6884	140	1	+	+	NOUN
ejpam-6884	140	2	rh(τ	rh(τ	NUM
ejpam-6884	140	3	)	)	PUNCT
ejpam-6884	140	4	+	+	NUM
ejpam-6884	140	5	ph(τ	ph(τ	X
ejpam-6884	140	6	)	)	PUNCT
ejpam-6884	140	7	denote	denote	VERB
ejpam-6884	140	8	the	the	DET
ejpam-6884	140	9	total	total	ADJ
ejpam-6884	140	10	human	human	ADJ
ejpam-6884	140	11	population	population	NOUN
ejpam-6884	140	12	.	.	PUNCT
ejpam-6884	141	1	the	the	DET
ejpam-6884	141	2	atangana	atangana	PROPN
ejpam-6884	141	3	-	-	PUNCT
ejpam-6884	141	4	baleanu	baleanu	ADJ
ejpam-6884	141	5	logic	logic	NOUN
ejpam-6884	141	6	of	of	ADP
ejpam-6884	141	7	a	a	DET
ejpam-6884	141	8	fractal	fractal	ADJ
ejpam-6884	141	9	-	-	PUNCT
ejpam-6884	141	10	fractional	fractional	ADJ
ejpam-6884	141	11	derivative	derivative	NOUN
ejpam-6884	141	12	regulates	regulate	VERB
ejpam-6884	141	13	the	the	DET
ejpam-6884	141	14	propagation	propagation	NOUN
ejpam-6884	141	15	dynamics	dynamic	NOUN
ejpam-6884	141	16	,	,	PUNCT
ejpam-6884	141	17	and	and	CCONJ
ejpam-6884	141	18	the	the	DET
ejpam-6884	141	19	power	power	NOUN
ejpam-6884	141	20	-	-	PUNCT
ejpam-6884	141	21	law	law	NOUN
ejpam-6884	141	22	kernel	kernel	NOUN
ejpam-6884	141	23	is	be	AUX
ejpam-6884	141	24	defined	define	VERB
ejpam-6884	141	25	as	as	ADP
ejpam-6884	141	26	(	(	PUNCT
ejpam-6884	141	27	ffm	ffm	NOUN
ejpam-6884	141	28	0	0	NUM
ejpam-6884	141	29	)	)	PUNCT
ejpam-6884	142	1	d	d	NOUN
ejpam-6884	142	2	(	(	PUNCT
ejpam-6884	142	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	142	4	)	)	PUNCT
ejpam-6884	142	5	τ	τ	PROPN
ejpam-6884	142	6	.	.	PUNCT
ejpam-6884	143	1	the	the	DET
ejpam-6884	143	2	model	model	NOUN
ejpam-6884	143	3	of	of	ADP
ejpam-6884	143	4	the	the	DET
ejpam-6884	143	5	human	human	ADJ
ejpam-6884	143	6	population	population	NOUN
ejpam-6884	143	7	is	be	AUX
ejpam-6884	143	8	provided	provide	VERB
ejpam-6884	143	9	by	by	ADP
ejpam-6884	143	10	the	the	DET
ejpam-6884	143	11	given	give	VERB
ejpam-6884	143	12	system	system	NOUN
ejpam-6884	143	13	of	of	ADP
ejpam-6884	143	14	fractional	fractional	ADJ
ejpam-6884	143	15	differential	differential	ADJ
ejpam-6884	143	16	equations	equation	NOUN
ejpam-6884	143	17	:	:	PUNCT
ejpam-6884	143	18	(	(	PUNCT
ejpam-6884	143	19	ffm	ffm	NOUN
ejpam-6884	143	20	0	0	NUM
ejpam-6884	143	21	)	)	PUNCT
ejpam-6884	143	22	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	143	23	)	)	PUNCT
ejpam-6884	143	24	τ	τ	PROPN
ejpam-6884	143	25	sh(τ	sh(τ	NOUN
ejpam-6884	143	26	)	)	PUNCT
ejpam-6884	143	27	=	=	SYM
ejpam-6884	143	28	πh	πh	NOUN
ejpam-6884	143	29	−	−	PROPN
ejpam-6884	143	30	λhsh	λhsh	NOUN
ejpam-6884	144	1	−	−	PROPN
ejpam-6884	145	1	(	(	PUNCT
ejpam-6884	145	2	µh	µh	NOUN
ejpam-6884	145	3	+	+	PROPN
ejpam-6884	145	4	ξh)sh	ξh)sh	PROPN
ejpam-6884	145	5	(	(	PUNCT
ejpam-6884	145	6	ffm	ffm	NOUN
ejpam-6884	145	7	0	0	NUM
ejpam-6884	145	8	)	)	PUNCT
ejpam-6884	145	9	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	145	10	)	)	PUNCT
ejpam-6884	145	11	τ	τ	PROPN
ejpam-6884	145	12	ih(τ	ih(τ	PROPN
ejpam-6884	145	13	)	)	PUNCT
ejpam-6884	145	14	=	=	VERB
ejpam-6884	146	1	λhsh	λhsh	ADJ
ejpam-6884	146	2	−	−	PROPN
ejpam-6884	146	3	(	(	PUNCT
ejpam-6884	146	4	υh	υh	X
ejpam-6884	146	5	+	+	CCONJ
ejpam-6884	146	6	e1	e1	PROPN
ejpam-6884	146	7	+	+	CCONJ
ejpam-6884	146	8	δ1	δ1	NOUN
ejpam-6884	146	9	+	+	CCONJ
ejpam-6884	146	10	ωh	ωh	X
ejpam-6884	146	11	+	+	NUM
ejpam-6884	146	12	µh)ih	µh)ih	X
ejpam-6884	146	13	(	(	PUNCT
ejpam-6884	146	14	ffm	ffm	NOUN
ejpam-6884	146	15	0	0	NUM
ejpam-6884	146	16	)	)	PUNCT
ejpam-6884	146	17	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	146	18	)	)	PUNCT
ejpam-6884	146	19	τ	τ	PROPN
ejpam-6884	146	20	th(τ	th(τ	NOUN
ejpam-6884	146	21	)	)	PUNCT
ejpam-6884	146	22	=	=	SYM
ejpam-6884	147	1	υhih	υhih	ADJ
ejpam-6884	147	2	−	−	PROPN
ejpam-6884	147	3	(	(	PUNCT
ejpam-6884	147	4	e2	e2	PROPN
ejpam-6884	147	5	+	+	CCONJ
ejpam-6884	147	6	δ2	δ2	VERB
ejpam-6884	147	7	+	+	CCONJ
ejpam-6884	147	8	µh)th	µh)th	X
ejpam-6884	147	9	(	(	PUNCT
ejpam-6884	147	10	ffm	ffm	NOUN
ejpam-6884	147	11	0	0	NUM
ejpam-6884	147	12	)	)	PUNCT
ejpam-6884	147	13	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	147	14	)	)	PUNCT
ejpam-6884	147	15	τ	τ	PROPN
ejpam-6884	147	16	rh(τ	rh(τ	NUM
ejpam-6884	147	17	)	)	PUNCT
ejpam-6884	147	18	=	=	PUNCT
ejpam-6884	147	19	e1ih	e1ih	NOUN
ejpam-6884	147	20	+	+	CCONJ
ejpam-6884	147	21	e2th	e2th	SYM
ejpam-6884	148	1	−	−	NOUN
ejpam-6884	148	2	(	(	PUNCT
ejpam-6884	148	3	µh	µh	NOUN
ejpam-6884	148	4	+	+	NOUN
ejpam-6884	148	5	θh)rh	θh)rh	NUM
ejpam-6884	148	6	(	(	PUNCT
ejpam-6884	148	7	ffm	ffm	NOUN
ejpam-6884	148	8	0	0	NUM
ejpam-6884	148	9	)	)	PUNCT
ejpam-6884	148	10	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	148	11	)	)	PUNCT
ejpam-6884	148	12	τ	τ	PROPN
ejpam-6884	148	13	ph(τ	ph(τ	NOUN
ejpam-6884	148	14	)	)	PUNCT
ejpam-6884	149	1	=	=	NOUN
ejpam-6884	149	2	ξhsh	ξhsh	NOUN
ejpam-6884	149	3	+	+	CCONJ
ejpam-6884	149	4	ωhih	ωhih	NOUN
ejpam-6884	149	5	+	+	CCONJ
ejpam-6884	149	6	θhrh	θhrh	VERB
ejpam-6884	149	7	−	−	PROPN
ejpam-6884	149	8	µhph	µhph	NOUN
ejpam-6884	149	9	.	.	PUNCT
ejpam-6884	150	1	where	where	SCONJ
ejpam-6884	150	2	•	•	NOUN
ejpam-6884	150	3	πh	πh	NOUN
ejpam-6884	150	4	:	:	PUNCT
ejpam-6884	150	5	recruitment	recruitment	NOUN
ejpam-6884	150	6	rate	rate	NOUN
ejpam-6884	150	7	into	into	ADP
ejpam-6884	150	8	the	the	DET
ejpam-6884	150	9	human	human	ADJ
ejpam-6884	150	10	population	population	NOUN
ejpam-6884	150	11	•	•	ADP
ejpam-6884	150	12	λh	λh	ADP
ejpam-6884	150	13	:	:	PUNCT
ejpam-6884	150	14	force	force	NOUN
ejpam-6884	150	15	of	of	ADP
ejpam-6884	150	16	infection	infection	NOUN
ejpam-6884	150	17	combining	combine	VERB
ejpam-6884	150	18	contact	contact	NOUN
ejpam-6884	150	19	with	with	ADP
ejpam-6884	150	20	infected	infected	ADJ
ejpam-6884	150	21	animals	animal	NOUN
ejpam-6884	150	22	and	and	CCONJ
ejpam-6884	150	23	humans	human	NOUN
ejpam-6884	150	24	•	•	VERB
ejpam-6884	150	25	µh	µh	INTJ
ejpam-6884	150	26	:	:	PUNCT
ejpam-6884	150	27	natural	natural	ADJ
ejpam-6884	150	28	human	human	ADJ
ejpam-6884	150	29	death	death	NOUN
ejpam-6884	150	30	rate	rate	NOUN
ejpam-6884	150	31	•	•	NOUN
ejpam-6884	150	32	ξh	ξh	PROPN
ejpam-6884	150	33	:	:	PUNCT
ejpam-6884	150	34	susceptible	susceptible	ADJ
ejpam-6884	150	35	individuals	individual	NOUN
ejpam-6884	150	36	’	'	PUNCT
ejpam-6884	150	37	rate	rate	NOUN
ejpam-6884	150	38	entering	enter	VERB
ejpam-6884	150	39	the	the	DET
ejpam-6884	150	40	protected	protect	VERB
ejpam-6884	150	41	class	class	NOUN
ejpam-6884	150	42	to	to	PART
ejpam-6884	150	43	avoid	avoid	VERB
ejpam-6884	150	44	infection	infection	NOUN
ejpam-6884	150	45	•	•	ADP
ejpam-6884	150	46	υh	υh	INTJ
ejpam-6884	150	47	:	:	PUNCT
ejpam-6884	150	48	infection	infection	NOUN
ejpam-6884	150	49	cases	case	NOUN
ejpam-6884	150	50	’	'	PUNCT
ejpam-6884	150	51	rate	rate	NOUN
ejpam-6884	150	52	entering	enter	VERB
ejpam-6884	150	53	treatment	treatment	NOUN
ejpam-6884	150	54	or	or	CCONJ
ejpam-6884	150	55	isolation	isolation	NOUN
ejpam-6884	150	56	•	•	NUM
ejpam-6884	150	57	e1	e1	PROPN
ejpam-6884	150	58	,	,	PUNCT
ejpam-6884	150	59	e2	e2	PROPN
ejpam-6884	150	60	:	:	PUNCT
ejpam-6884	150	61	recovery	recovery	NOUN
ejpam-6884	150	62	rates	rate	NOUN
ejpam-6884	150	63	from	from	ADP
ejpam-6884	150	64	infection	infection	NOUN
ejpam-6884	150	65	and	and	CCONJ
ejpam-6884	150	66	treatment	treatment	NOUN
ejpam-6884	150	67	,	,	PUNCT
ejpam-6884	150	68	respectively	respectively	ADV
ejpam-6884	150	69	•	•	NUM
ejpam-6884	150	70	δ1	δ1	NOUN
ejpam-6884	150	71	,	,	PUNCT
ejpam-6884	150	72	δ2	δ2	VERB
ejpam-6884	150	73	:	:	PUNCT
ejpam-6884	150	74	disease	disease	NOUN
ejpam-6884	150	75	-	-	PUNCT
ejpam-6884	150	76	induced	induce	VERB
ejpam-6884	150	77	death	death	NOUN
ejpam-6884	150	78	rates	rate	NOUN
ejpam-6884	150	79	from	from	ADP
ejpam-6884	150	80	infected	infect	VERB
ejpam-6884	150	81	and	and	CCONJ
ejpam-6884	150	82	treated	treat	VERB
ejpam-6884	150	83	individuals	individual	NOUN
ejpam-6884	150	84	•	•	NOUN
ejpam-6884	150	85	ωh	ωh	ADP
ejpam-6884	150	86	:	:	PUNCT
ejpam-6884	150	87	rate	rate	NOUN
ejpam-6884	150	88	at	at	ADP
ejpam-6884	150	89	which	which	PRON
ejpam-6884	150	90	infection	infection	NOUN
ejpam-6884	150	91	cases	case	NOUN
ejpam-6884	150	92	are	be	AUX
ejpam-6884	150	93	transferred	transfer	VERB
ejpam-6884	150	94	into	into	ADP
ejpam-6884	150	95	protection	protection	NOUN
ejpam-6884	150	96	in	in	ADP
ejpam-6884	150	97	order	order	NOUN
ejpam-6884	150	98	to	to	PART
ejpam-6884	150	99	prevent	prevent	VERB
ejpam-6884	150	100	further	far	ADV
ejpam-6884	150	101	spread	spread	VERB
ejpam-6884	150	102	•	•	NUM
ejpam-6884	150	103	θh	θh	NOUN
ejpam-6884	150	104	:	:	PUNCT
ejpam-6884	150	105	recovery	recovery	NOUN
ejpam-6884	150	106	rate	rate	NOUN
ejpam-6884	150	107	at	at	ADP
ejpam-6884	150	108	which	which	PRON
ejpam-6884	150	109	cured	cure	VERB
ejpam-6884	150	110	persons	person	NOUN
ejpam-6884	150	111	shift	shift	VERB
ejpam-6884	150	112	to	to	ADP
ejpam-6884	150	113	the	the	DET
ejpam-6884	150	114	protected	protect	VERB
ejpam-6884	150	115	class	class	NOUN
ejpam-6884	150	116	this	this	DET
ejpam-6884	150	117	structure	structure	NOUN
ejpam-6884	150	118	captures	capture	VERB
ejpam-6884	150	119	the	the	DET
ejpam-6884	150	120	dynamic	dynamic	ADJ
ejpam-6884	150	121	transitions	transition	NOUN
ejpam-6884	150	122	in	in	ADP
ejpam-6884	150	123	the	the	DET
ejpam-6884	150	124	human	human	ADJ
ejpam-6884	150	125	population	population	NOUN
ejpam-6884	150	126	,	,	PUNCT
ejpam-6884	150	127	integrating	integrate	VERB
ejpam-6884	150	128	memory	memory	NOUN
ejpam-6884	150	129	and	and	CCONJ
ejpam-6884	150	130	non	non	ADJ
ejpam-6884	150	131	-	-	ADJ
ejpam-6884	150	132	local	local	ADJ
ejpam-6884	150	133	effects	effect	NOUN
ejpam-6884	150	134	via	via	ADP
ejpam-6884	150	135	the	the	DET
ejpam-6884	150	136	fractal	fractal	ADJ
ejpam-6884	150	137	-	-	PUNCT
ejpam-6884	150	138	fractional	fractional	ADJ
ejpam-6884	150	139	operator	operator	NOUN
ejpam-6884	150	140	.	.	PUNCT
ejpam-6884	151	1	v.	v.	ADP
ejpam-6884	151	2	govindan	govindan	PROPN
ejpam-6884	151	3	et	et	PROPN
ejpam-6884	151	4	al	al	PROPN
ejpam-6884	151	5	.	.	PUNCT
ejpam-6884	151	6	/	/	SYM
ejpam-6884	151	7	eur	eur	PROPN
ejpam-6884	151	8	.	.	PUNCT
ejpam-6884	152	1	j.	j.	PROPN
ejpam-6884	152	2	pure	pure	PROPN
ejpam-6884	152	3	appl	appl	PROPN
ejpam-6884	152	4	.	.	PROPN
ejpam-6884	152	5	math	math	PROPN
ejpam-6884	152	6	,	,	PUNCT
ejpam-6884	152	7	18	18	NUM
ejpam-6884	152	8	(	(	PUNCT
ejpam-6884	152	9	4	4	NUM
ejpam-6884	152	10	)	)	PUNCT
ejpam-6884	152	11	(	(	PUNCT
ejpam-6884	152	12	2025	2025	NUM
ejpam-6884	152	13	)	)	PUNCT
ejpam-6884	152	14	,	,	PUNCT
ejpam-6884	152	15	6884	6884	NUM
ejpam-6884	152	16	8	8	NUM
ejpam-6884	152	17	of	of	ADP
ejpam-6884	152	18	29	29	NUM
ejpam-6884	152	19	3.2	3.2	NUM
ejpam-6884	152	20	.	.	PUNCT
ejpam-6884	153	1	animal	animal	NOUN
ejpam-6884	153	2	population	population	NOUN
ejpam-6884	153	3	dynamics	dynamic	VERB
ejpam-6884	153	4	the	the	DET
ejpam-6884	153	5	animal	animal	NOUN
ejpam-6884	153	6	population	population	NOUN
ejpam-6884	153	7	is	be	AUX
ejpam-6884	153	8	divided	divide	VERB
ejpam-6884	153	9	into	into	ADP
ejpam-6884	153	10	:	:	PUNCT
ejpam-6884	153	11	•	•	NOUN
ejpam-6884	153	12	sa(τ	sa(τ	NUM
ejpam-6884	153	13	):	):	PUNCT
ejpam-6884	153	14	susceptible	susceptible	ADJ
ejpam-6884	153	15	animals	animal	NOUN
ejpam-6884	153	16	•	•	PRON
ejpam-6884	153	17	ia(τ	ia(τ	X
ejpam-6884	153	18	):	):	PUNCT
ejpam-6884	153	19	infected	infect	VERB
ejpam-6884	153	20	animals	animal	NOUN
ejpam-6884	153	21	•	•	PRON
ejpam-6884	153	22	ra(τ	ra(τ	X
ejpam-6884	153	23	):	):	PUNCT
ejpam-6884	153	24	recovered	recover	VERB
ejpam-6884	153	25	animals	animal	NOUN
ejpam-6884	153	26	.	.	PUNCT
ejpam-6884	154	1	let	let	VERB
ejpam-6884	154	2	na	na	VERB
ejpam-6884	154	3	=	=	SYM
ejpam-6884	154	4	sa	sa	PROPN
ejpam-6884	154	5	+	+	CCONJ
ejpam-6884	154	6	ia	ia	PROPN
ejpam-6884	154	7	+	+	NOUN
ejpam-6884	154	8	ra	ra	PROPN
ejpam-6884	154	9	be	be	VERB
ejpam-6884	154	10	the	the	DET
ejpam-6884	154	11	total	total	ADJ
ejpam-6884	154	12	animal	animal	NOUN
ejpam-6884	154	13	population	population	NOUN
ejpam-6884	154	14	.	.	PUNCT
ejpam-6884	155	1	the	the	DET
ejpam-6884	155	2	animal	animal	NOUN
ejpam-6884	155	3	model	model	NOUN
ejpam-6884	155	4	follows	follow	VERB
ejpam-6884	155	5	a	a	DET
ejpam-6884	155	6	similar	similar	ADJ
ejpam-6884	155	7	nonlinear	nonlinear	ADJ
ejpam-6884	155	8	system	system	NOUN
ejpam-6884	155	9	of	of	ADP
ejpam-6884	155	10	differential	differential	ADJ
ejpam-6884	155	11	equations	equation	NOUN
ejpam-6884	155	12	based	base	VERB
ejpam-6884	155	13	on	on	ADP
ejpam-6884	155	14	classical	classical	ADJ
ejpam-6884	155	15	or	or	CCONJ
ejpam-6884	155	16	fractional	fractional	ADJ
ejpam-6884	155	17	derivatives	derivative	NOUN
ejpam-6884	155	18	(	(	PUNCT
ejpam-6884	155	19	depending	depend	VERB
ejpam-6884	155	20	on	on	ADP
ejpam-6884	155	21	your	your	PRON
ejpam-6884	155	22	specification	specification	NOUN
ejpam-6884	155	23	):	):	PUNCT
ejpam-6884	155	24	(	(	PUNCT
ejpam-6884	155	25	ffm	ffm	NOUN
ejpam-6884	155	26	0	0	NUM
ejpam-6884	155	27	)	)	PUNCT
ejpam-6884	155	28	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	155	29	)	)	PUNCT
ejpam-6884	155	30	τ	τ	PROPN
ejpam-6884	155	31	sa(τ	sa(τ	X
ejpam-6884	155	32	)	)	PUNCT
ejpam-6884	155	33	=	=	PUNCT
ejpam-6884	156	1	πa	πa	ADP
ejpam-6884	156	2	−	−	PROPN
ejpam-6884	156	3	λasa	λasa	PROPN
ejpam-6884	156	4	−	−	PROPN
ejpam-6884	156	5	µasa	µasa	NOUN
ejpam-6884	156	6	(	(	PUNCT
ejpam-6884	156	7	ffm	ffm	NOUN
ejpam-6884	156	8	0	0	NUM
ejpam-6884	156	9	)	)	PUNCT
ejpam-6884	156	10	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	156	11	)	)	PUNCT
ejpam-6884	156	12	τ	τ	X
ejpam-6884	156	13	ia(τ	ia(τ	X
ejpam-6884	156	14	)	)	PUNCT
ejpam-6884	156	15	=	=	SYM
ejpam-6884	157	1	λasa	λasa	ADJ
ejpam-6884	157	2	−	−	PROPN
ejpam-6884	157	3	(	(	PUNCT
ejpam-6884	157	4	υa	υa	PROPN
ejpam-6884	157	5	+	+	ADJ
ejpam-6884	157	6	µa	µa	NOUN
ejpam-6884	157	7	+	+	X
ejpam-6884	157	8	da)ia	da)ia	PUNCT
ejpam-6884	157	9	(	(	PUNCT
ejpam-6884	157	10	ffm	ffm	NOUN
ejpam-6884	157	11	0	0	NUM
ejpam-6884	157	12	)	)	PUNCT
ejpam-6884	157	13	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	157	14	)	)	PUNCT
ejpam-6884	157	15	τ	τ	X
ejpam-6884	157	16	ra(τ	ra(τ	X
ejpam-6884	157	17	)	)	PUNCT
ejpam-6884	157	18	=	=	SYM
ejpam-6884	157	19	υaia	υaia	ADJ
ejpam-6884	157	20	−	−	PROPN
ejpam-6884	157	21	µara	µara	NOUN
ejpam-6884	157	22	.	.	PUNCT
ejpam-6884	158	1	where	where	SCONJ
ejpam-6884	158	2	•	•	ADV
ejpam-6884	158	3	πa	πa	NOUN
ejpam-6884	158	4	:	:	PUNCT
ejpam-6884	158	5	recruitment	recruitment	NOUN
ejpam-6884	158	6	rate	rate	NOUN
ejpam-6884	158	7	into	into	ADP
ejpam-6884	158	8	the	the	DET
ejpam-6884	158	9	animal	animal	NOUN
ejpam-6884	158	10	population	population	NOUN
ejpam-6884	158	11	•	•	ADP
ejpam-6884	158	12	λa	λa	PROPN
ejpam-6884	158	13	:	:	PUNCT
ejpam-6884	158	14	contact	contact	NOUN
ejpam-6884	158	15	rate	rate	NOUN
ejpam-6884	158	16	between	between	ADP
ejpam-6884	158	17	infected	infected	ADJ
ejpam-6884	158	18	and	and	CCONJ
ejpam-6884	158	19	susceptible	susceptible	ADJ
ejpam-6884	158	20	animals	animal	NOUN
ejpam-6884	158	21	that	that	PRON
ejpam-6884	158	22	combines	combine	VERB
ejpam-6884	158	23	into	into	ADP
ejpam-6884	158	24	force	force	NOUN
ejpam-6884	158	25	of	of	ADP
ejpam-6884	158	26	infection	infection	NOUN
ejpam-6884	158	27	•	•	NOUN
ejpam-6884	158	28	µa	µa	NOUN
ejpam-6884	158	29	:	:	PUNCT
ejpam-6884	158	30	animal	animal	NOUN
ejpam-6884	158	31	natural	natural	ADJ
ejpam-6884	158	32	death	death	NOUN
ejpam-6884	158	33	rate	rate	NOUN
ejpam-6884	158	34	•	•	NUM
ejpam-6884	158	35	da	da	PROPN
ejpam-6884	158	36	:	:	PUNCT
ejpam-6884	158	37	mortality	mortality	NOUN
ejpam-6884	158	38	rate	rate	NOUN
ejpam-6884	158	39	due	due	ADP
ejpam-6884	158	40	to	to	ADP
ejpam-6884	158	41	disease	disease	NOUN
ejpam-6884	158	42	in	in	ADP
ejpam-6884	158	43	animals	animal	NOUN
ejpam-6884	158	44	•	•	ADP
ejpam-6884	158	45	υa	υa	NUM
ejpam-6884	158	46	:	:	PUNCT
ejpam-6884	158	47	rate	rate	NOUN
ejpam-6884	158	48	of	of	ADP
ejpam-6884	158	49	recovery	recovery	NOUN
ejpam-6884	158	50	of	of	ADP
ejpam-6884	158	51	infected	infected	ADJ
ejpam-6884	158	52	animals	animal	NOUN
ejpam-6884	158	53	.	.	PUNCT
ejpam-6884	159	1	this	this	DET
ejpam-6884	159	2	model	model	NOUN
ejpam-6884	159	3	framework	framework	NOUN
ejpam-6884	159	4	facilitates	facilitate	VERB
ejpam-6884	159	5	a	a	DET
ejpam-6884	159	6	comprehensive	comprehensive	ADJ
ejpam-6884	159	7	exploration	exploration	NOUN
ejpam-6884	159	8	of	of	ADP
ejpam-6884	159	9	monkeypox	monkeypox	NOUN
ejpam-6884	159	10	transmission	transmission	NOUN
ejpam-6884	159	11	dynamics	dynamic	NOUN
ejpam-6884	159	12	and	and	CCONJ
ejpam-6884	159	13	control	control	NOUN
ejpam-6884	159	14	strategies	strategy	NOUN
ejpam-6884	159	15	within	within	ADP
ejpam-6884	159	16	a	a	DET
ejpam-6884	159	17	fractional	fractional	ADJ
ejpam-6884	159	18	-	-	PUNCT
ejpam-6884	159	19	order	order	NOUN
ejpam-6884	159	20	setting	setting	NOUN
ejpam-6884	159	21	,	,	PUNCT
ejpam-6884	159	22	effectively	effectively	ADV
ejpam-6884	159	23	capturing	capture	VERB
ejpam-6884	159	24	the	the	DET
ejpam-6884	159	25	influence	influence	NOUN
ejpam-6884	159	26	of	of	ADP
ejpam-6884	159	27	memory	memory	NOUN
ejpam-6884	159	28	and	and	CCONJ
ejpam-6884	159	29	hereditary	hereditary	ADJ
ejpam-6884	159	30	behaviour	behaviour	NOUN
ejpam-6884	159	31	in	in	ADP
ejpam-6884	159	32	population	population	NOUN
ejpam-6884	159	33	of	of	ADP
ejpam-6884	159	34	humans	human	NOUN
ejpam-6884	159	35	and	and	CCONJ
ejpam-6884	159	36	animals	animal	NOUN
ejpam-6884	159	37	.	.	PUNCT
ejpam-6884	160	1	the	the	DET
ejpam-6884	160	2	corresponding	corresponding	ADJ
ejpam-6884	160	3	equations	equation	NOUN
ejpam-6884	160	4	are	be	AUX
ejpam-6884	160	5	formulated	formulate	VERB
ejpam-6884	160	6	using	use	VERB
ejpam-6884	160	7	a	a	DET
ejpam-6884	160	8	fractal	fractal	ADJ
ejpam-6884	160	9	-	-	PUNCT
ejpam-6884	160	10	fractional	fractional	ADJ
ejpam-6884	160	11	framework	framework	NOUN
ejpam-6884	160	12	characterized	characterize	VERB
ejpam-6884	160	13	by	by	ADP
ejpam-6884	160	14	the	the	DET
ejpam-6884	160	15	order	order	NOUN
ejpam-6884	160	16	η	η	X
ejpam-6884	160	17	(	(	PUNCT
ejpam-6884	160	18	0	0	NUM
ejpam-6884	160	19	<	<	X
ejpam-6884	160	20	η	η	X
ejpam-6884	160	21	<	<	X
ejpam-6884	160	22	1	1	NUM
ejpam-6884	160	23	)	)	PUNCT
ejpam-6884	160	24	and	and	CCONJ
ejpam-6884	160	25	fractal	fractal	ADJ
ejpam-6884	160	26	dimension	dimension	NOUN
ejpam-6884	160	27	ϑ.	ϑ.	VERB
ejpam-6884	161	1	the	the	DET
ejpam-6884	161	2	model	model	NOUN
ejpam-6884	161	3	also	also	ADV
ejpam-6884	161	4	uses	use	VERB
ejpam-6884	161	5	fuzzy	fuzzy	ADJ
ejpam-6884	161	6	initial	initial	ADJ
ejpam-6884	161	7	conditions	condition	NOUN
ejpam-6884	161	8	to	to	PART
ejpam-6884	161	9	reflect	reflect	VERB
ejpam-6884	161	10	the	the	DET
ejpam-6884	161	11	uncertainty	uncertainty	NOUN
ejpam-6884	161	12	and	and	CCONJ
ejpam-6884	161	13	imprecision	imprecision	NOUN
ejpam-6884	161	14	associated	associate	VERB
ejpam-6884	161	15	with	with	ADP
ejpam-6884	161	16	the	the	DET
ejpam-6884	161	17	starting	start	VERB
ejpam-6884	161	18	values	value	NOUN
ejpam-6884	161	19	of	of	ADP
ejpam-6884	161	20	each	each	DET
ejpam-6884	161	21	compartment	compartment	NOUN
ejpam-6884	161	22	,	,	PUNCT
ejpam-6884	161	23	ensuring	ensure	VERB
ejpam-6884	161	24	a	a	DET
ejpam-6884	161	25	more	more	ADV
ejpam-6884	161	26	realistic	realistic	ADJ
ejpam-6884	161	27	and	and	CCONJ
ejpam-6884	161	28	flexible	flexible	ADJ
ejpam-6884	161	29	simulation	simulation	NOUN
ejpam-6884	161	30	framework	framework	NOUN
ejpam-6884	161	31	.	.	PUNCT
ejpam-6884	162	1	v.	v.	ADP
ejpam-6884	162	2	govindan	govindan	PROPN
ejpam-6884	162	3	et	et	PROPN
ejpam-6884	162	4	al	al	PROPN
ejpam-6884	162	5	.	.	PUNCT
ejpam-6884	162	6	/	/	SYM
ejpam-6884	162	7	eur	eur	PROPN
ejpam-6884	162	8	.	.	PUNCT
ejpam-6884	163	1	j.	j.	PROPN
ejpam-6884	163	2	pure	pure	PROPN
ejpam-6884	163	3	appl	appl	PROPN
ejpam-6884	163	4	.	.	PROPN
ejpam-6884	163	5	math	math	PROPN
ejpam-6884	163	6	,	,	PUNCT
ejpam-6884	163	7	18	18	NUM
ejpam-6884	163	8	(	(	PUNCT
ejpam-6884	163	9	4	4	NUM
ejpam-6884	163	10	)	)	PUNCT
ejpam-6884	163	11	(	(	PUNCT
ejpam-6884	163	12	2025	2025	NUM
ejpam-6884	163	13	)	)	PUNCT
ejpam-6884	163	14	,	,	PUNCT
ejpam-6884	163	15	6884	6884	NUM
ejpam-6884	163	16	9	9	NUM
ejpam-6884	163	17	of	of	ADP
ejpam-6884	163	18	29	29	NUM
ejpam-6884	163	19	(	(	PUNCT
ejpam-6884	163	20	ffm	ffm	NOUN
ejpam-6884	163	21	0	0	NUM
ejpam-6884	163	22	)	)	PUNCT
ejpam-6884	163	23	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	163	24	)	)	PUNCT
ejpam-6884	163	25	τ	τ	PROPN
ejpam-6884	163	26	sh(τ	sh(τ	NOUN
ejpam-6884	163	27	)	)	PUNCT
ejpam-6884	163	28	=	=	SYM
ejpam-6884	163	29	(	(	PUNCT
ejpam-6884	163	30	π̃h)−	π̃h)−	PROPN
ejpam-6884	163	31	(	(	PUNCT
ejpam-6884	163	32	λ̃h)sh	λ̃h)sh	PROPN
ejpam-6884	163	33	−	−	PROPN
ejpam-6884	163	34	(	(	PUNCT
ejpam-6884	163	35	(	(	PUNCT
ejpam-6884	163	36	µ̃h	µ̃h	NOUN
ejpam-6884	163	37	)	)	PUNCT
ejpam-6884	163	38	+	+	CCONJ
ejpam-6884	163	39	(	(	PUNCT
ejpam-6884	163	40	ξ̃h))sh	ξ̃h))sh	NOUN
ejpam-6884	163	41	(	(	PUNCT
ejpam-6884	163	42	ffm	ffm	NOUN
ejpam-6884	163	43	0	0	NUM
ejpam-6884	163	44	)	)	PUNCT
ejpam-6884	163	45	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	163	46	)	)	PUNCT
ejpam-6884	163	47	τ	τ	PROPN
ejpam-6884	163	48	ih(τ	ih(τ	PROPN
ejpam-6884	163	49	)	)	PUNCT
ejpam-6884	163	50	=	=	SYM
ejpam-6884	163	51	(	(	PUNCT
ejpam-6884	163	52	λ̃h)sh	λ̃h)sh	NOUN
ejpam-6884	163	53	−	−	PROPN
ejpam-6884	163	54	(	(	PUNCT
ejpam-6884	163	55	(	(	PUNCT
ejpam-6884	163	56	υ̃h	υ̃h	INTJ
ejpam-6884	163	57	)	)	PUNCT
ejpam-6884	163	58	+	+	CCONJ
ejpam-6884	163	59	(	(	PUNCT
ejpam-6884	163	60	ẽ1	ẽ1	NOUN
ejpam-6884	163	61	)	)	PUNCT
ejpam-6884	163	62	+	+	CCONJ
ejpam-6884	163	63	(	(	PUNCT
ejpam-6884	163	64	δ̃1	δ̃1	PROPN
ejpam-6884	163	65	)	)	PUNCT
ejpam-6884	163	66	+	+	CCONJ
ejpam-6884	163	67	(	(	PUNCT
ejpam-6884	163	68	ω̃h	ω̃h	NOUN
ejpam-6884	163	69	)	)	PUNCT
ejpam-6884	164	1	+	+	CCONJ
ejpam-6884	164	2	(	(	PUNCT
ejpam-6884	164	3	µ̃h))ih	µ̃h))ih	NOUN
ejpam-6884	164	4	(	(	PUNCT
ejpam-6884	164	5	ffm	ffm	NOUN
ejpam-6884	164	6	0	0	NUM
ejpam-6884	164	7	)	)	PUNCT
ejpam-6884	164	8	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	164	9	)	)	PUNCT
ejpam-6884	164	10	τ	τ	PROPN
ejpam-6884	164	11	th(τ	th(τ	NOUN
ejpam-6884	164	12	)	)	PUNCT
ejpam-6884	164	13	=	=	SYM
ejpam-6884	164	14	(	(	PUNCT
ejpam-6884	164	15	υ̃h)ih	υ̃h)ih	INTJ
ejpam-6884	164	16	−	−	X
ejpam-6884	164	17	(	(	PUNCT
ejpam-6884	164	18	(	(	PUNCT
ejpam-6884	164	19	ẽ2	ẽ2	ADV
ejpam-6884	164	20	)	)	PUNCT
ejpam-6884	165	1	+	+	CCONJ
ejpam-6884	165	2	(	(	PUNCT
ejpam-6884	165	3	δ̃2	δ̃2	NOUN
ejpam-6884	165	4	)	)	PUNCT
ejpam-6884	166	1	+	+	CCONJ
ejpam-6884	166	2	(	(	PUNCT
ejpam-6884	166	3	µ̃h))th	µ̃h))th	INTJ
ejpam-6884	166	4	(	(	PUNCT
ejpam-6884	166	5	ffm	ffm	NOUN
ejpam-6884	166	6	0	0	NUM
ejpam-6884	166	7	)	)	PUNCT
ejpam-6884	166	8	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	166	9	)	)	PUNCT
ejpam-6884	166	10	τ	τ	PROPN
ejpam-6884	166	11	rh(τ	rh(τ	NUM
ejpam-6884	166	12	)	)	PUNCT
ejpam-6884	166	13	=	=	SYM
ejpam-6884	166	14	(	(	PUNCT
ejpam-6884	166	15	ẽ1)ih	ẽ1)ih	NOUN
ejpam-6884	166	16	+	+	CCONJ
ejpam-6884	166	17	(	(	PUNCT
ejpam-6884	166	18	ẽ2)th	ẽ2)th	PROPN
ejpam-6884	166	19	−	−	PROPN
ejpam-6884	166	20	(	(	PUNCT
ejpam-6884	166	21	(	(	PUNCT
ejpam-6884	166	22	µ̃h	µ̃h	NOUN
ejpam-6884	166	23	)	)	PUNCT
ejpam-6884	166	24	+	+	CCONJ
ejpam-6884	166	25	(	(	PUNCT
ejpam-6884	166	26	θ̃h))rh	θ̃h))rh	PROPN
ejpam-6884	166	27	(	(	PUNCT
ejpam-6884	166	28	ffm	ffm	NOUN
ejpam-6884	166	29	0	0	NUM
ejpam-6884	166	30	)	)	PUNCT
ejpam-6884	166	31	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	166	32	)	)	PUNCT
ejpam-6884	166	33	τ	τ	PROPN
ejpam-6884	166	34	ph(τ	ph(τ	NOUN
ejpam-6884	166	35	)	)	PUNCT
ejpam-6884	166	36	=	=	SYM
ejpam-6884	166	37	(	(	PUNCT
ejpam-6884	166	38	ξ̃h)sh	ξ̃h)sh	PROPN
ejpam-6884	166	39	+	+	NUM
ejpam-6884	166	40	(	(	PUNCT
ejpam-6884	166	41	ω̃h)ih	ω̃h)ih	PROPN
ejpam-6884	166	42	+	+	CCONJ
ejpam-6884	166	43	(	(	PUNCT
ejpam-6884	166	44	θ̃h)rh	θ̃h)rh	ADV
ejpam-6884	166	45	−	−	PROPN
ejpam-6884	166	46	(	(	PUNCT
ejpam-6884	166	47	µ̃h)ph	µ̃h)ph	PROPN
ejpam-6884	166	48	(	(	PUNCT
ejpam-6884	166	49	ffm	ffm	NOUN
ejpam-6884	166	50	0	0	NUM
ejpam-6884	166	51	)	)	PUNCT
ejpam-6884	166	52	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	166	53	)	)	PUNCT
ejpam-6884	166	54	τ	τ	PROPN
ejpam-6884	166	55	sa(τ	sa(τ	X
ejpam-6884	166	56	)	)	PUNCT
ejpam-6884	166	57	=	=	SYM
ejpam-6884	166	58	(	(	PUNCT
ejpam-6884	166	59	π̃a)−	π̃a)−	PROPN
ejpam-6884	166	60	(	(	PUNCT
ejpam-6884	166	61	λ̃a)sa	λ̃a)sa	PROPN
ejpam-6884	166	62	−	−	PROPN
ejpam-6884	166	63	(	(	PUNCT
ejpam-6884	166	64	µ̃a)sa	µ̃a)sa	PROPN
ejpam-6884	166	65	(	(	PUNCT
ejpam-6884	166	66	ffm	ffm	NOUN
ejpam-6884	166	67	0	0	NUM
ejpam-6884	166	68	)	)	PUNCT
ejpam-6884	166	69	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	166	70	)	)	PUNCT
ejpam-6884	166	71	τ	τ	X
ejpam-6884	166	72	ia(τ	ia(τ	X
ejpam-6884	166	73	)	)	PUNCT
ejpam-6884	166	74	=	=	SYM
ejpam-6884	166	75	(	(	PUNCT
ejpam-6884	166	76	λ̃a)sa	λ̃a)sa	PROPN
ejpam-6884	166	77	−	−	PROPN
ejpam-6884	166	78	(	(	PUNCT
ejpam-6884	166	79	(	(	PUNCT
ejpam-6884	166	80	υ̃a	υ̃a	NOUN
ejpam-6884	166	81	)	)	PUNCT
ejpam-6884	166	82	+	+	CCONJ
ejpam-6884	166	83	(	(	PUNCT
ejpam-6884	166	84	µ̃a	µ̃a	NOUN
ejpam-6884	166	85	)	)	PUNCT
ejpam-6884	166	86	+	+	CCONJ
ejpam-6884	166	87	(	(	PUNCT
ejpam-6884	166	88	d̃a))ia	d̃a))ia	VERB
ejpam-6884	166	89	(	(	PUNCT
ejpam-6884	166	90	ffm	ffm	NOUN
ejpam-6884	166	91	0	0	NUM
ejpam-6884	166	92	)	)	PUNCT
ejpam-6884	166	93	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	166	94	)	)	PUNCT
ejpam-6884	166	95	τ	τ	X
ejpam-6884	166	96	ra(τ	ra(τ	X
ejpam-6884	166	97	)	)	PUNCT
ejpam-6884	166	98	=	=	PUNCT
ejpam-6884	166	99	(	(	PUNCT
ejpam-6884	166	100	υ̃a)ia	υ̃a)ia	PROPN
ejpam-6884	166	101	−	−	PROPN
ejpam-6884	166	102	(	(	PUNCT
ejpam-6884	166	103	µ̃a)ra	µ̃a)ra	PROPN
ejpam-6884	166	104	.	.	PUNCT
ejpam-6884	166	105	(	(	PUNCT
ejpam-6884	166	106	3	3	X
ejpam-6884	166	107	)	)	PUNCT
ejpam-6884	166	108	the	the	DET
ejpam-6884	166	109	transmission	transmission	NOUN
ejpam-6884	166	110	terms	term	NOUN
ejpam-6884	166	111	are	be	AUX
ejpam-6884	166	112	given	give	VERB
ejpam-6884	166	113	by	by	ADP
ejpam-6884	166	114	(	(	PUNCT
ejpam-6884	166	115	λ̃h	λ̃h	PROPN
ejpam-6884	166	116	)	)	PUNCT
ejpam-6884	166	117	=	=	SYM
ejpam-6884	166	118	(	(	PUNCT
ejpam-6884	166	119	(	(	PUNCT
ejpam-6884	166	120	˜βh1	˜βh1	NUM
ejpam-6884	166	121	)	)	PUNCT
ejpam-6884	166	122	ia+	ia+	NOUN
ejpam-6884	166	123	(	(	PUNCT
ejpam-6884	166	124	˜βh2	˜βh2	NOUN
ejpam-6884	166	125	)	)	PUNCT
ejpam-6884	166	126	ih	ih	X
ejpam-6884	166	127	)	)	PUNCT
ejpam-6884	166	128	nh	nh	PROPN
ejpam-6884	166	129	for	for	ADP
ejpam-6884	166	130	humans	human	NOUN
ejpam-6884	166	131	and	and	CCONJ
ejpam-6884	166	132	(	(	PUNCT
ejpam-6884	166	133	λ̃a	λ̃a	X
ejpam-6884	166	134	)	)	PUNCT
ejpam-6884	166	135	=	=	SYM
ejpam-6884	166	136	(	(	PUNCT
ejpam-6884	166	137	β̃a)ia	β̃a)ia	ADP
ejpam-6884	166	138	na	na	ADP
ejpam-6884	166	139	for	for	ADP
ejpam-6884	166	140	animals	animal	NOUN
ejpam-6884	166	141	,	,	PUNCT
ejpam-6884	166	142	representing	represent	VERB
ejpam-6884	166	143	the	the	DET
ejpam-6884	166	144	respective	respective	ADJ
ejpam-6884	166	145	force	force	NOUN
ejpam-6884	166	146	of	of	ADP
ejpam-6884	166	147	infection	infection	NOUN
ejpam-6884	166	148	.	.	PUNCT
ejpam-6884	167	1	all	all	DET
ejpam-6884	167	2	related	related	ADJ
ejpam-6884	167	3	parameters	parameter	NOUN
ejpam-6884	167	4	such	such	ADJ
ejpam-6884	167	5	as	as	ADP
ejpam-6884	167	6	π̃h	π̃h	NOUN
ejpam-6884	167	7	,	,	PUNCT
ejpam-6884	167	8	λ̃h	λ̃h	X
ejpam-6884	167	9	,	,	PUNCT
ejpam-6884	167	10	µ̃h	µ̃h	NOUN
ejpam-6884	167	11	,	,	PUNCT
ejpam-6884	167	12	ξ̃h	ξ̃h	NOUN
ejpam-6884	167	13	,	,	PUNCT
ejpam-6884	167	14	υ̃h	υ̃h	ADJ
ejpam-6884	167	15	,	,	PUNCT
ejpam-6884	167	16	ẽ1	ẽ1	PROPN
ejpam-6884	167	17	,	,	PUNCT
ejpam-6884	167	18	δ̃1	δ̃1	PROPN
ejpam-6884	167	19	,	,	PUNCT
ejpam-6884	167	20	ẽ2	ẽ2	PROPN
ejpam-6884	167	21	,	,	PUNCT
ejpam-6884	167	22	δ̃2	δ̃2	NOUN
ejpam-6884	167	23	,	,	PUNCT
ejpam-6884	167	24	ω̃h	ω̃h	NUM
ejpam-6884	167	25	,	,	PUNCT
ejpam-6884	167	26	θ̃h	θ̃h	PROPN
ejpam-6884	167	27	,	,	PUNCT
ejpam-6884	167	28	π̃a	π̃a	PROPN
ejpam-6884	167	29	,	,	PUNCT
ejpam-6884	167	30	λ̃a	λ̃a	PROPN
ejpam-6884	167	31	,	,	PUNCT
ejpam-6884	167	32	υ̃a	υ̃a	PROPN
ejpam-6884	167	33	,	,	PUNCT
ejpam-6884	167	34	µ̃a	µ̃a	VERB
ejpam-6884	167	35	and	and	CCONJ
ejpam-6884	167	36	d̃a	d̃a	NOUN
ejpam-6884	167	37	are	be	AUX
ejpam-6884	167	38	modeled	model	VERB
ejpam-6884	167	39	as	as	ADP
ejpam-6884	167	40	triangular	triangular	NOUN
ejpam-6884	167	41	fuzzy	fuzzy	ADJ
ejpam-6884	167	42	numbers	number	NOUN
ejpam-6884	167	43	(	(	PUNCT
ejpam-6884	167	44	tfns	tfns	NOUN
ejpam-6884	167	45	)	)	PUNCT
ejpam-6884	167	46	with	with	ADP
ejpam-6884	167	47	narrow	narrow	ADJ
ejpam-6884	167	48	supports	support	NOUN
ejpam-6884	167	49	ranges	range	NOUN
ejpam-6884	167	50	to	to	PART
ejpam-6884	167	51	represent	represent	VERB
ejpam-6884	167	52	the	the	DET
ejpam-6884	167	53	uncertainty	uncertainty	NOUN
ejpam-6884	167	54	present	present	ADJ
ejpam-6884	167	55	in	in	ADP
ejpam-6884	167	56	real	real	ADJ
ejpam-6884	167	57	-	-	PUNCT
ejpam-6884	167	58	world	world	NOUN
ejpam-6884	167	59	scenarios	scenario	NOUN
ejpam-6884	167	60	.	.	PUNCT
ejpam-6884	168	1	these	these	DET
ejpam-6884	168	2	parameters	parameter	NOUN
ejpam-6884	168	3	define	define	VERB
ejpam-6884	168	4	the	the	DET
ejpam-6884	168	5	dynamic	dynamic	ADJ
ejpam-6884	168	6	behavior	behavior	NOUN
ejpam-6884	168	7	of	of	ADP
ejpam-6884	168	8	the	the	DET
ejpam-6884	168	9	state	state	NOUN
ejpam-6884	168	10	variables	variable	VERB
ejpam-6884	168	11	sh	sh	PROPN
ejpam-6884	168	12	≥	≥	PROPN
ejpam-6884	168	13	0	0	NUM
ejpam-6884	168	14	,	,	PUNCT
ejpam-6884	168	15	ih	ih	X
ejpam-6884	168	16	≥	≥	NUM
ejpam-6884	168	17	0	0	NUM
ejpam-6884	168	18	,	,	PUNCT
ejpam-6884	168	19	th	th	X
ejpam-6884	168	20	≥	≥	NOUN
ejpam-6884	168	21	0	0	NUM
ejpam-6884	168	22	,	,	PUNCT
ejpam-6884	168	23	rh	rh	PROPN
ejpam-6884	168	24	≥	≥	PROPN
ejpam-6884	168	25	0	0	NUM
ejpam-6884	168	26	,	,	PUNCT
ejpam-6884	168	27	ph	ph	X
ejpam-6884	168	28	≥	≥	NOUN
ejpam-6884	168	29	0	0	NUM
ejpam-6884	168	30	for	for	ADP
ejpam-6884	168	31	humans	human	NOUN
ejpam-6884	168	32	and	and	CCONJ
ejpam-6884	168	33	sa	sa	X
ejpam-6884	168	34	≥	≥	PROPN
ejpam-6884	168	35	0	0	NUM
ejpam-6884	168	36	,	,	PUNCT
ejpam-6884	168	37	ia	ia	PROPN
ejpam-6884	168	38	≥	≥	PROPN
ejpam-6884	168	39	0	0	NUM
ejpam-6884	168	40	,	,	PUNCT
ejpam-6884	168	41	ra	ra	PROPN
ejpam-6884	168	42	≥	≥	NOUN
ejpam-6884	168	43	0	0	NUM
ejpam-6884	168	44	for	for	ADP
ejpam-6884	168	45	animals	animal	NOUN
ejpam-6884	168	46	within	within	ADP
ejpam-6884	168	47	the	the	DET
ejpam-6884	168	48	fuzzy	fuzzy	ADJ
ejpam-6884	168	49	fractal	fractal	ADJ
ejpam-6884	168	50	-	-	PUNCT
ejpam-6884	168	51	fractional	fractional	ADJ
ejpam-6884	168	52	monkeypox	monkeypox	NOUN
ejpam-6884	168	53	model	model	NOUN
ejpam-6884	168	54	.	.	PUNCT
ejpam-6884	169	1	4	4	X
ejpam-6884	169	2	.	.	NOUN
ejpam-6884	169	3	qualitative	qualitative	ADJ
ejpam-6884	169	4	analysis	analysis	NOUN
ejpam-6884	169	5	theorem	theorem	VERB
ejpam-6884	169	6	1	1	NUM
ejpam-6884	169	7	.	.	PUNCT
ejpam-6884	170	1	the	the	DET
ejpam-6884	170	2	solution	solution	NOUN
ejpam-6884	170	3	paths	path	NOUN
ejpam-6884	170	4	of	of	ADP
ejpam-6884	170	5	the	the	DET
ejpam-6884	170	6	proposed	propose	VERB
ejpam-6884	170	7	model	model	NOUN
ejpam-6884	170	8	(	(	PUNCT
ejpam-6884	170	9	3	3	X
ejpam-6884	170	10	)	)	PUNCT
ejpam-6884	170	11	are	be	AUX
ejpam-6884	170	12	positive	positive	ADJ
ejpam-6884	170	13	at	at	ADP
ejpam-6884	170	14	any	any	DET
ejpam-6884	170	15	time	time	NOUN
ejpam-6884	170	16	instant	instant	NOUN
ejpam-6884	170	17	in	in	ADP
ejpam-6884	170	18	r8	r8	NOUN
ejpam-6884	170	19	+	+	NOUN
ejpam-6884	170	20	.	.	PUNCT
ejpam-6884	171	1	proof	proof	NOUN
ejpam-6884	171	2	.	.	PUNCT
ejpam-6884	172	1	it	it	PRON
ejpam-6884	172	2	follows	follow	VERB
ejpam-6884	172	3	from	from	ADP
ejpam-6884	172	4	the	the	DET
ejpam-6884	172	5	model	model	NOUN
ejpam-6884	172	6	(	(	PUNCT
ejpam-6884	172	7	3	3	NUM
ejpam-6884	172	8	)	)	PUNCT
ejpam-6884	172	9	that	that	SCONJ
ejpam-6884	172	10	(	(	PUNCT
ejpam-6884	172	11	ffm	ffm	NOUN
ejpam-6884	172	12	0	0	NUM
ejpam-6884	172	13	)	)	PUNCT
ejpam-6884	172	14	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	172	15	)	)	PUNCT
ejpam-6884	172	16	τ	τ	PROPN
ejpam-6884	172	17	sh(τ	sh(τ	NOUN
ejpam-6884	172	18	)	)	PUNCT
ejpam-6884	172	19	∣∣∣	∣∣∣	NOUN
ejpam-6884	172	20	sh=0	sh=0	PROPN
ejpam-6884	172	21	=	=	SYM
ejpam-6884	172	22	(	(	PUNCT
ejpam-6884	172	23	π̃h	π̃h	NOUN
ejpam-6884	172	24	)	)	PUNCT
ejpam-6884	172	25	≥	≥	NOUN
ejpam-6884	172	26	0	0	NUM
ejpam-6884	172	27	,	,	PUNCT
ejpam-6884	172	28	(	(	PUNCT
ejpam-6884	172	29	ffm	ffm	NOUN
ejpam-6884	172	30	0	0	NUM
ejpam-6884	172	31	)	)	PUNCT
ejpam-6884	172	32	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	172	33	)	)	PUNCT
ejpam-6884	172	34	τ	τ	PROPN
ejpam-6884	172	35	ih(τ	ih(τ	NOUN
ejpam-6884	172	36	)	)	PUNCT
ejpam-6884	172	37	∣∣∣	∣∣∣	NOUN
ejpam-6884	172	38	ih=0	ih=0	NOUN
ejpam-6884	172	39	=	=	SYM
ejpam-6884	172	40	(	(	PUNCT
ejpam-6884	172	41	λ̃h)sh	λ̃h)sh	NOUN
ejpam-6884	172	42	≥	≥	NOUN
ejpam-6884	172	43	0	0	NUM
ejpam-6884	172	44	,	,	PUNCT
ejpam-6884	172	45	(	(	PUNCT
ejpam-6884	172	46	ffm	ffm	NOUN
ejpam-6884	172	47	0	0	NUM
ejpam-6884	172	48	)	)	PUNCT
ejpam-6884	172	49	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	172	50	)	)	PUNCT
ejpam-6884	172	51	τ	τ	PROPN
ejpam-6884	172	52	th(t	th(t	NUM
ejpam-6884	172	53	)	)	PUNCT
ejpam-6884	172	54	∣∣∣	∣∣∣	NOUN
ejpam-6884	173	1	th=0	th=0	PROPN
ejpam-6884	173	2	=	=	SYM
ejpam-6884	173	3	(	(	PUNCT
ejpam-6884	173	4	υ̃h)ih	υ̃h)ih	NOUN
ejpam-6884	173	5	≥	≥	NOUN
ejpam-6884	173	6	0	0	NUM
ejpam-6884	173	7	,	,	PUNCT
ejpam-6884	173	8	(	(	PUNCT
ejpam-6884	173	9	ffm	ffm	NOUN
ejpam-6884	173	10	0	0	NUM
ejpam-6884	173	11	)	)	PUNCT
ejpam-6884	173	12	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	173	13	)	)	PUNCT
ejpam-6884	173	14	τ	τ	PROPN
ejpam-6884	173	15	rh(t	rh(t	X
ejpam-6884	173	16	)	)	PUNCT
ejpam-6884	173	17	∣∣∣	∣∣∣	ADP
ejpam-6884	174	1	rh=0	rh=0	NOUN
ejpam-6884	174	2	=	=	SYM
ejpam-6884	174	3	(	(	PUNCT
ejpam-6884	174	4	ẽ1)ih	ẽ1)ih	NOUN
ejpam-6884	174	5	+	+	CCONJ
ejpam-6884	174	6	(	(	PUNCT
ejpam-6884	174	7	ẽ2)th	ẽ2)th	X
ejpam-6884	174	8	≥	≥	PROPN
ejpam-6884	174	9	0	0	NUM
ejpam-6884	174	10	,	,	PUNCT
ejpam-6884	174	11	(	(	PUNCT
ejpam-6884	174	12	ffm	ffm	NOUN
ejpam-6884	174	13	0	0	NUM
ejpam-6884	174	14	)	)	PUNCT
ejpam-6884	174	15	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	174	16	)	)	PUNCT
ejpam-6884	174	17	τ	τ	X
ejpam-6884	174	18	ph(t	ph(t	X
ejpam-6884	174	19	)	)	PUNCT
ejpam-6884	174	20	∣∣∣	∣∣∣	NOUN
ejpam-6884	174	21	ph=0	ph=0	NOUN
ejpam-6884	174	22	=	=	SYM
ejpam-6884	174	23	(	(	PUNCT
ejpam-6884	174	24	ξ̃h)sh	ξ̃h)sh	PROPN
ejpam-6884	174	25	+	+	NUM
ejpam-6884	174	26	(	(	PUNCT
ejpam-6884	174	27	ω̃h)ih	ω̃h)ih	PROPN
ejpam-6884	174	28	+	+	SYM
ejpam-6884	174	29	(	(	PUNCT
ejpam-6884	174	30	θ̃h)rh	θ̃h)rh	PROPN
ejpam-6884	174	31	≥	≥	NOUN
ejpam-6884	174	32	0	0	NUM
ejpam-6884	174	33	,	,	PUNCT
ejpam-6884	174	34	(	(	PUNCT
ejpam-6884	174	35	ffm	ffm	NOUN
ejpam-6884	174	36	0	0	NUM
ejpam-6884	174	37	)	)	PUNCT
ejpam-6884	174	38	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	174	39	)	)	PUNCT
ejpam-6884	174	40	τ	τ	PROPN
ejpam-6884	174	41	sa(τ	sa(τ	NOUN
ejpam-6884	174	42	)	)	PUNCT
ejpam-6884	174	43	∣∣∣	∣∣∣	ADJ
ejpam-6884	174	44	sa=0	sa=0	PROPN
ejpam-6884	174	45	=	=	SYM
ejpam-6884	174	46	(	(	PUNCT
ejpam-6884	174	47	π̃a	π̃a	NOUN
ejpam-6884	174	48	)	)	PUNCT
ejpam-6884	174	49	≥	≥	NOUN
ejpam-6884	174	50	0	0	NUM
ejpam-6884	174	51	,	,	PUNCT
ejpam-6884	174	52	(	(	PUNCT
ejpam-6884	174	53	ffm	ffm	NOUN
ejpam-6884	174	54	0	0	NUM
ejpam-6884	174	55	)	)	PUNCT
ejpam-6884	174	56	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	174	57	)	)	PUNCT
ejpam-6884	174	58	τ	τ	X
ejpam-6884	174	59	ia(τ	ia(τ	X
ejpam-6884	174	60	)	)	PUNCT
ejpam-6884	174	61	∣∣∣	∣∣∣	NOUN
ejpam-6884	174	62	ia=0	ia=0	X
ejpam-6884	174	63	=	=	SYM
ejpam-6884	175	1	(	(	PUNCT
ejpam-6884	175	2	λ̃a)sa	λ̃a)sa	NOUN
ejpam-6884	175	3	≥	≥	NOUN
ejpam-6884	175	4	0	0	NUM
ejpam-6884	175	5	,	,	PUNCT
ejpam-6884	175	6	(	(	PUNCT
ejpam-6884	175	7	ffm	ffm	NOUN
ejpam-6884	175	8	0	0	NUM
ejpam-6884	175	9	)	)	PUNCT
ejpam-6884	175	10	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	175	11	)	)	PUNCT
ejpam-6884	175	12	τ	τ	X
ejpam-6884	175	13	ra(τ	ra(τ	X
ejpam-6884	175	14	)	)	PUNCT
ejpam-6884	175	15	∣∣∣	∣∣∣	NOUN
ejpam-6884	175	16	ra=0	ra=0	PROPN
ejpam-6884	175	17	=	=	SYM
ejpam-6884	175	18	(	(	PUNCT
ejpam-6884	175	19	υ̃a)ia	υ̃a)ia	PROPN
ejpam-6884	175	20	≥	≥	NOUN
ejpam-6884	175	21	0	0	NUM
ejpam-6884	175	22	.	.	PUNCT
ejpam-6884	176	1	v.	v.	ADP
ejpam-6884	176	2	govindan	govindan	PROPN
ejpam-6884	176	3	et	et	PROPN
ejpam-6884	176	4	al	al	PROPN
ejpam-6884	176	5	.	.	PUNCT
ejpam-6884	176	6	/	/	SYM
ejpam-6884	176	7	eur	eur	PROPN
ejpam-6884	176	8	.	.	PUNCT
ejpam-6884	177	1	j.	j.	PROPN
ejpam-6884	177	2	pure	pure	PROPN
ejpam-6884	177	3	appl	appl	PROPN
ejpam-6884	177	4	.	.	PROPN
ejpam-6884	177	5	math	math	PROPN
ejpam-6884	177	6	,	,	PUNCT
ejpam-6884	177	7	18	18	NUM
ejpam-6884	177	8	(	(	PUNCT
ejpam-6884	177	9	4	4	NUM
ejpam-6884	177	10	)	)	PUNCT
ejpam-6884	177	11	(	(	PUNCT
ejpam-6884	177	12	2025	2025	NUM
ejpam-6884	177	13	)	)	PUNCT
ejpam-6884	177	14	,	,	PUNCT
ejpam-6884	177	15	6884	6884	NUM
ejpam-6884	177	16	10	10	NUM
ejpam-6884	177	17	of	of	ADP
ejpam-6884	177	18	29	29	NUM
ejpam-6884	177	19	all	all	DET
ejpam-6884	177	20	rates	rate	NOUN
ejpam-6884	177	21	are	be	AUX
ejpam-6884	177	22	above	above	ADV
ejpam-6884	177	23	-	-	PUNCT
ejpam-6884	177	24	described	describe	VERB
ejpam-6884	177	25	are	be	AUX
ejpam-6884	177	26	nonnegative	nonnegative	ADJ
ejpam-6884	177	27	,	,	PUNCT
ejpam-6884	177	28	as	as	SCONJ
ejpam-6884	177	29	are	be	AUX
ejpam-6884	177	30	the	the	DET
ejpam-6884	177	31	solution	solution	NOUN
ejpam-6884	177	32	paths	path	NOUN
ejpam-6884	177	33	in	in	ADP
ejpam-6884	177	34	the	the	DET
ejpam-6884	177	35	non	non	ADJ
ejpam-6884	177	36	-	-	ADJ
ejpam-6884	177	37	negative	negative	ADJ
ejpam-6884	177	38	of	of	ADP
ejpam-6884	177	39	r8	r8	NOUN
ejpam-6884	177	40	+	+	PROPN
ejpam-6884	177	41	.	.	PROPN
ejpam-6884	177	42	5	5	NUM
ejpam-6884	177	43	.	.	NOUN
ejpam-6884	177	44	existence	existence	NOUN
ejpam-6884	177	45	and	and	CCONJ
ejpam-6884	177	46	uniqueness	uniqueness	NOUN
ejpam-6884	177	47	of	of	ADP
ejpam-6884	177	48	proposed	propose	VERB
ejpam-6884	177	49	scheme	scheme	NOUN
ejpam-6884	177	50	this	this	DET
ejpam-6884	177	51	part	part	NOUN
ejpam-6884	177	52	outlines	outline	VERB
ejpam-6884	177	53	the	the	DET
ejpam-6884	177	54	existence	existence	NOUN
ejpam-6884	177	55	and	and	CCONJ
ejpam-6884	177	56	uniqueness	uniqueness	NOUN
ejpam-6884	177	57	of	of	ADP
ejpam-6884	177	58	the	the	DET
ejpam-6884	177	59	solution	solution	NOUN
ejpam-6884	177	60	to	to	ADP
ejpam-6884	177	61	the	the	DET
ejpam-6884	177	62	following	follow	VERB
ejpam-6884	177	63	fuzzy	fuzzy	ADJ
ejpam-6884	177	64	fractional	fractional	ADJ
ejpam-6884	177	65	model	model	NOUN
ejpam-6884	177	66	.	.	PUNCT
ejpam-6884	178	1	the	the	DET
ejpam-6884	178	2	analysis	analysis	NOUN
ejpam-6884	178	3	focuses	focus	VERB
ejpam-6884	178	4	on	on	ADP
ejpam-6884	178	5	a	a	DET
ejpam-6884	178	6	system	system	NOUN
ejpam-6884	178	7	of	of	ADP
ejpam-6884	178	8	fuzzy	fuzzy	ADJ
ejpam-6884	178	9	fractional	fractional	ADJ
ejpam-6884	178	10	-	-	PUNCT
ejpam-6884	178	11	order	order	NOUN
ejpam-6884	178	12	differential	differential	ADJ
ejpam-6884	178	13	equations	equation	NOUN
ejpam-6884	178	14	formulated	formulate	VERB
ejpam-6884	178	15	using	use	VERB
ejpam-6884	178	16	the	the	DET
ejpam-6884	178	17	atangana	atangana	PROPN
ejpam-6884	178	18	–	–	PUNCT
ejpam-6884	178	19	baleanu	baleanu	PROPN
ejpam-6884	178	20	caputo	caputo	PROPN
ejpam-6884	178	21	operator	operator	NOUN
ejpam-6884	178	22	.	.	PUNCT
ejpam-6884	179	1	to	to	PART
ejpam-6884	179	2	reformulate	reformulate	VERB
ejpam-6884	179	3	the	the	DET
ejpam-6884	179	4	system	system	NOUN
ejpam-6884	179	5	in	in	ADP
ejpam-6884	179	6	a	a	DET
ejpam-6884	179	7	more	more	ADV
ejpam-6884	179	8	analysable	analysable	ADJ
ejpam-6884	179	9	form	form	NOUN
ejpam-6884	179	10	,	,	PUNCT
ejpam-6884	179	11	the	the	DET
ejpam-6884	179	12	atangana	atangana	PROPN
ejpam-6884	179	13	–	–	PUNCT
ejpam-6884	179	14	baleanu	baleanu	ADJ
ejpam-6884	179	15	fractal	fractal	ADJ
ejpam-6884	179	16	–	–	PUNCT
ejpam-6884	179	17	fractional	fractional	ADJ
ejpam-6884	179	18	operator	operator	NOUN
ejpam-6884	179	19	is	be	AUX
ejpam-6884	179	20	applied	apply	VERB
ejpam-6884	179	21	to	to	PART
ejpam-6884	179	22	transform	transform	VERB
ejpam-6884	179	23	the	the	DET
ejpam-6884	179	24	set	set	NOUN
ejpam-6884	179	25	of	of	ADP
ejpam-6884	179	26	equations	equation	NOUN
ejpam-6884	179	27	(	(	PUNCT
ejpam-6884	179	28	3	3	NUM
ejpam-6884	179	29	)	)	PUNCT
ejpam-6884	179	30	.	.	PUNCT
ejpam-6884	180	1	with	with	ADP
ejpam-6884	180	2	fixed	fix	VERB
ejpam-6884	180	3	-	-	PUNCT
ejpam-6884	180	4	point	point	NOUN
ejpam-6884	180	5	theorems	theorem	NOUN
ejpam-6884	180	6	,	,	PUNCT
ejpam-6884	180	7	it	it	PRON
ejpam-6884	180	8	is	be	AUX
ejpam-6884	180	9	shown	show	VERB
ejpam-6884	180	10	that	that	SCONJ
ejpam-6884	180	11	the	the	DET
ejpam-6884	180	12	model	model	NOUN
ejpam-6884	180	13	admits	admit	VERB
ejpam-6884	180	14	at	at	ADP
ejpam-6884	180	15	least	least	ADV
ejpam-6884	180	16	one	one	NUM
ejpam-6884	180	17	solution	solution	NOUN
ejpam-6884	180	18	uniquely	uniquely	ADV
ejpam-6884	180	19	.	.	PUNCT
ejpam-6884	181	1	in	in	ADP
ejpam-6884	181	2	below	below	ADV
ejpam-6884	181	3	,	,	PUNCT
ejpam-6884	181	4	the	the	DET
ejpam-6884	181	5	suggested	suggest	VERB
ejpam-6884	181	6	model	model	NOUN
ejpam-6884	181	7	is	be	AUX
ejpam-6884	181	8	discussed	discuss	VERB
ejpam-6884	181	9	,	,	PUNCT
ejpam-6884	181	10	considering	consider	VERB
ejpam-6884	181	11	fractional	fractional	ADJ
ejpam-6884	181	12	differentiation	differentiation	NOUN
ejpam-6884	181	13	and	and	CCONJ
ejpam-6884	181	14	integration	integration	NOUN
ejpam-6884	181	15	techniques	technique	NOUN
ejpam-6884	181	16	.	.	PUNCT
ejpam-6884	182	1	(	(	PUNCT
ejpam-6884	182	2	ab	ab	NOUN
ejpam-6884	182	3	0	0	NUM
ejpam-6884	182	4	)	)	PUNCT
ejpam-6884	182	5	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	182	6	)	)	PUNCT
ejpam-6884	182	7	τ	τ	PROPN
ejpam-6884	182	8	sh(τ	sh(τ	NOUN
ejpam-6884	182	9	)	)	PUNCT
ejpam-6884	182	10	=	=	SYM
ejpam-6884	182	11	ϑtϑ−1g1(τ	ϑtϑ−1g1(τ	NOUN
ejpam-6884	182	12	,	,	PUNCT
ejpam-6884	182	13	sh	sh	INTJ
ejpam-6884	182	14	,	,	PUNCT
ejpam-6884	182	15	ih	ih	X
ejpam-6884	182	16	,	,	PUNCT
ejpam-6884	182	17	th	th	INTJ
ejpam-6884	182	18	,	,	PUNCT
ejpam-6884	182	19	rh	rh	PROPN
ejpam-6884	182	20	,	,	PUNCT
ejpam-6884	182	21	ph	ph	PROPN
ejpam-6884	182	22	,	,	PUNCT
ejpam-6884	182	23	sa	sa	PROPN
ejpam-6884	182	24	,	,	PUNCT
ejpam-6884	182	25	ia	ia	PROPN
ejpam-6884	182	26	,	,	PUNCT
ejpam-6884	182	27	ra	ra	PROPN
ejpam-6884	182	28	)	)	PUNCT
ejpam-6884	182	29	(	(	PUNCT
ejpam-6884	182	30	ab	ab	PROPN
ejpam-6884	182	31	0	0	NUM
ejpam-6884	182	32	)	)	PUNCT
ejpam-6884	182	33	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	182	34	)	)	PUNCT
ejpam-6884	182	35	τ	τ	PROPN
ejpam-6884	182	36	ih(τ	ih(τ	PROPN
ejpam-6884	182	37	)	)	PUNCT
ejpam-6884	182	38	=	=	SYM
ejpam-6884	182	39	ϑtϑ−1g2(τ	ϑtϑ−1g2(τ	NOUN
ejpam-6884	182	40	,	,	PUNCT
ejpam-6884	182	41	sh	sh	INTJ
ejpam-6884	182	42	,	,	PUNCT
ejpam-6884	182	43	ih	ih	X
ejpam-6884	182	44	,	,	PUNCT
ejpam-6884	182	45	th	th	INTJ
ejpam-6884	182	46	,	,	PUNCT
ejpam-6884	182	47	rh	rh	PROPN
ejpam-6884	182	48	,	,	PUNCT
ejpam-6884	182	49	ph	ph	PROPN
ejpam-6884	182	50	,	,	PUNCT
ejpam-6884	182	51	sa	sa	PROPN
ejpam-6884	182	52	,	,	PUNCT
ejpam-6884	182	53	ia	ia	PROPN
ejpam-6884	182	54	,	,	PUNCT
ejpam-6884	182	55	ra	ra	PROPN
ejpam-6884	182	56	)	)	PUNCT
ejpam-6884	182	57	(	(	PUNCT
ejpam-6884	182	58	ab	ab	PROPN
ejpam-6884	182	59	0	0	NUM
ejpam-6884	182	60	)	)	PUNCT
ejpam-6884	182	61	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	182	62	)	)	PUNCT
ejpam-6884	182	63	τ	τ	PROPN
ejpam-6884	182	64	th(τ	th(τ	NOUN
ejpam-6884	182	65	)	)	PUNCT
ejpam-6884	182	66	=	=	SYM
ejpam-6884	182	67	ϑtϑ−1g3(τ	ϑtϑ−1g3(τ	PROPN
ejpam-6884	182	68	,	,	PUNCT
ejpam-6884	182	69	sh	sh	INTJ
ejpam-6884	182	70	,	,	PUNCT
ejpam-6884	182	71	ih	ih	X
ejpam-6884	182	72	,	,	PUNCT
ejpam-6884	182	73	th	th	INTJ
ejpam-6884	182	74	,	,	PUNCT
ejpam-6884	182	75	rh	rh	PROPN
ejpam-6884	182	76	,	,	PUNCT
ejpam-6884	182	77	ph	ph	PROPN
ejpam-6884	182	78	,	,	PUNCT
ejpam-6884	182	79	sa	sa	PROPN
ejpam-6884	182	80	,	,	PUNCT
ejpam-6884	182	81	ia	ia	PROPN
ejpam-6884	182	82	,	,	PUNCT
ejpam-6884	182	83	ra	ra	PROPN
ejpam-6884	182	84	)	)	PUNCT
ejpam-6884	182	85	(	(	PUNCT
ejpam-6884	182	86	ab	ab	PROPN
ejpam-6884	182	87	0	0	NUM
ejpam-6884	182	88	)	)	PUNCT
ejpam-6884	182	89	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	182	90	)	)	PUNCT
ejpam-6884	182	91	τ	τ	PROPN
ejpam-6884	182	92	rh(τ	rh(τ	NUM
ejpam-6884	182	93	)	)	PUNCT
ejpam-6884	182	94	=	=	PUNCT
ejpam-6884	182	95	ϑtϑ−1g4(τ	ϑtϑ−1g4(τ	NOUN
ejpam-6884	182	96	,	,	PUNCT
ejpam-6884	182	97	sh	sh	INTJ
ejpam-6884	182	98	,	,	PUNCT
ejpam-6884	182	99	ih	ih	X
ejpam-6884	182	100	,	,	PUNCT
ejpam-6884	182	101	th	th	INTJ
ejpam-6884	182	102	,	,	PUNCT
ejpam-6884	182	103	rh	rh	PROPN
ejpam-6884	182	104	,	,	PUNCT
ejpam-6884	182	105	ph	ph	PROPN
ejpam-6884	182	106	,	,	PUNCT
ejpam-6884	182	107	sa	sa	PROPN
ejpam-6884	182	108	,	,	PUNCT
ejpam-6884	182	109	ia	ia	PROPN
ejpam-6884	182	110	,	,	PUNCT
ejpam-6884	182	111	ra	ra	PROPN
ejpam-6884	182	112	)	)	PUNCT
ejpam-6884	182	113	(	(	PUNCT
ejpam-6884	182	114	ab	ab	PROPN
ejpam-6884	182	115	0	0	NUM
ejpam-6884	182	116	)	)	PUNCT
ejpam-6884	182	117	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	182	118	)	)	PUNCT
ejpam-6884	182	119	τ	τ	PROPN
ejpam-6884	182	120	ph(τ	ph(τ	NOUN
ejpam-6884	182	121	)	)	PUNCT
ejpam-6884	182	122	=	=	PUNCT
ejpam-6884	182	123	ϑtϑ−1g5(τ	ϑtϑ−1g5(τ	VERB
ejpam-6884	182	124	,	,	PUNCT
ejpam-6884	182	125	sh	sh	INTJ
ejpam-6884	182	126	,	,	PUNCT
ejpam-6884	182	127	ih	ih	X
ejpam-6884	182	128	,	,	PUNCT
ejpam-6884	182	129	th	th	INTJ
ejpam-6884	182	130	,	,	PUNCT
ejpam-6884	182	131	rh	rh	PROPN
ejpam-6884	182	132	,	,	PUNCT
ejpam-6884	182	133	ph	ph	PROPN
ejpam-6884	182	134	,	,	PUNCT
ejpam-6884	182	135	sa	sa	PROPN
ejpam-6884	182	136	,	,	PUNCT
ejpam-6884	182	137	ia	ia	PROPN
ejpam-6884	182	138	,	,	PUNCT
ejpam-6884	182	139	ra	ra	PROPN
ejpam-6884	182	140	)	)	PUNCT
ejpam-6884	182	141	(	(	PUNCT
ejpam-6884	182	142	ab	ab	PROPN
ejpam-6884	182	143	0	0	NUM
ejpam-6884	182	144	)	)	PUNCT
ejpam-6884	182	145	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	182	146	)	)	PUNCT
ejpam-6884	182	147	τ	τ	PROPN
ejpam-6884	182	148	sa(τ	sa(τ	X
ejpam-6884	182	149	)	)	PUNCT
ejpam-6884	182	150	=	=	SYM
ejpam-6884	182	151	ϑtϑ−1g6(τ	ϑtϑ−1g6(τ	NOUN
ejpam-6884	182	152	,	,	PUNCT
ejpam-6884	182	153	sh	sh	INTJ
ejpam-6884	182	154	,	,	PUNCT
ejpam-6884	182	155	ih	ih	X
ejpam-6884	182	156	,	,	PUNCT
ejpam-6884	182	157	th	th	INTJ
ejpam-6884	182	158	,	,	PUNCT
ejpam-6884	182	159	rh	rh	PROPN
ejpam-6884	182	160	,	,	PUNCT
ejpam-6884	182	161	ph	ph	PROPN
ejpam-6884	182	162	,	,	PUNCT
ejpam-6884	182	163	sa	sa	PROPN
ejpam-6884	182	164	,	,	PUNCT
ejpam-6884	182	165	ia	ia	PROPN
ejpam-6884	182	166	,	,	PUNCT
ejpam-6884	182	167	ra	ra	PROPN
ejpam-6884	182	168	)	)	PUNCT
ejpam-6884	182	169	(	(	PUNCT
ejpam-6884	182	170	ab	ab	PROPN
ejpam-6884	182	171	0	0	NUM
ejpam-6884	182	172	)	)	PUNCT
ejpam-6884	182	173	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	182	174	)	)	PUNCT
ejpam-6884	182	175	τ	τ	X
ejpam-6884	182	176	ia(τ	ia(τ	X
ejpam-6884	182	177	)	)	PUNCT
ejpam-6884	182	178	=	=	SYM
ejpam-6884	183	1	ϑtϑ−1g7(τ	ϑtϑ−1g7(τ	PROPN
ejpam-6884	183	2	,	,	PUNCT
ejpam-6884	183	3	sh	sh	INTJ
ejpam-6884	183	4	,	,	PUNCT
ejpam-6884	183	5	ih	ih	X
ejpam-6884	183	6	,	,	PUNCT
ejpam-6884	183	7	th	th	INTJ
ejpam-6884	183	8	,	,	PUNCT
ejpam-6884	183	9	rh	rh	PROPN
ejpam-6884	183	10	,	,	PUNCT
ejpam-6884	183	11	ph	ph	PROPN
ejpam-6884	183	12	,	,	PUNCT
ejpam-6884	183	13	sa	sa	PROPN
ejpam-6884	183	14	,	,	PUNCT
ejpam-6884	183	15	ia	ia	PROPN
ejpam-6884	183	16	,	,	PUNCT
ejpam-6884	183	17	ra	ra	PROPN
ejpam-6884	183	18	)	)	PUNCT
ejpam-6884	183	19	(	(	PUNCT
ejpam-6884	183	20	ab	ab	PROPN
ejpam-6884	183	21	0	0	NUM
ejpam-6884	183	22	)	)	PUNCT
ejpam-6884	183	23	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	183	24	)	)	PUNCT
ejpam-6884	183	25	τ	τ	X
ejpam-6884	183	26	ra(τ	ra(τ	X
ejpam-6884	183	27	)	)	PUNCT
ejpam-6884	183	28	=	=	SYM
ejpam-6884	184	1	ϑtϑ−1g8(τ	ϑtϑ−1g8(τ	NOUN
ejpam-6884	184	2	,	,	PUNCT
ejpam-6884	184	3	sh	sh	INTJ
ejpam-6884	184	4	,	,	PUNCT
ejpam-6884	184	5	ih	ih	X
ejpam-6884	184	6	,	,	PUNCT
ejpam-6884	184	7	th	th	INTJ
ejpam-6884	184	8	,	,	PUNCT
ejpam-6884	184	9	rh	rh	PROPN
ejpam-6884	184	10	,	,	PUNCT
ejpam-6884	184	11	ph	ph	PROPN
ejpam-6884	184	12	,	,	PUNCT
ejpam-6884	184	13	sa	sa	PROPN
ejpam-6884	184	14	,	,	PUNCT
ejpam-6884	184	15	ia	ia	PROPN
ejpam-6884	184	16	,	,	PUNCT
ejpam-6884	184	17	ra	ra	PROPN
ejpam-6884	184	18	)	)	PUNCT
ejpam-6884	184	19	.	.	PUNCT
ejpam-6884	185	1	where	where	SCONJ
ejpam-6884	185	2	the	the	DET
ejpam-6884	185	3	fuzzy	fuzzy	ADJ
ejpam-6884	185	4	functions	function	NOUN
ejpam-6884	185	5	are	be	AUX
ejpam-6884	185	6	g1	g1	NOUN
ejpam-6884	185	7	,	,	PUNCT
ejpam-6884	185	8	g2	g2	PROPN
ejpam-6884	185	9	,	,	PUNCT
ejpam-6884	185	10	g3	g3	NOUN
ejpam-6884	185	11	,	,	PUNCT
ejpam-6884	185	12	g4	g4	NOUN
ejpam-6884	185	13	,	,	PUNCT
ejpam-6884	185	14	g5	g5	NOUN
ejpam-6884	185	15	,	,	PUNCT
ejpam-6884	185	16	g6	g6	PROPN
ejpam-6884	185	17	,	,	PUNCT
ejpam-6884	185	18	g7	g7	PROPN
ejpam-6884	185	19	,	,	PUNCT
ejpam-6884	185	20	g8	g8	PROPN
ejpam-6884	185	21	then	then	ADV
ejpam-6884	185	22	,	,	PUNCT
ejpam-6884	185	23	for	for	ADP
ejpam-6884	185	24	γ	γ	PROPN
ejpam-6884	185	25	∈	∈	PROPN
ejpam-6884	186	1	[	[	X
ejpam-6884	186	2	0	0	NUM
ejpam-6884	186	3	,	,	PUNCT
ejpam-6884	186	4	1	1	NUM
ejpam-6884	186	5	]	]	PUNCT
ejpam-6884	186	6	,	,	PUNCT
ejpam-6884	186	7	model	model	NOUN
ejpam-6884	186	8	(	(	PUNCT
ejpam-6884	186	9	3	3	X
ejpam-6884	186	10	)	)	PUNCT
ejpam-6884	186	11	gets	get	VERB
ejpam-6884	186	12	the	the	DET
ejpam-6884	186	13	form	form	PROPN
ejpam-6884	186	14	(	(	PUNCT
ejpam-6884	186	15	ffm	ffm	NOUN
ejpam-6884	186	16	0	0	NUM
ejpam-6884	186	17	)	)	PUNCT
ejpam-6884	187	1	d	d	NOUN
ejpam-6884	187	2	(	(	PUNCT
ejpam-6884	187	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	187	4	)	)	PUNCT
ejpam-6884	187	5	τ	τ	PROPN
ejpam-6884	187	6	sh(τ	sh(τ	PROPN
ejpam-6884	187	7	)	)	PUNCT
ejpam-6884	187	8	=	=	PUNCT
ejpam-6884	188	1	g1(τ	g1(τ	NOUN
ejpam-6884	188	2	,	,	PUNCT
ejpam-6884	188	3	sh	sh	INTJ
ejpam-6884	188	4	,	,	PUNCT
ejpam-6884	188	5	ih	ih	X
ejpam-6884	188	6	,	,	PUNCT
ejpam-6884	188	7	th	th	INTJ
ejpam-6884	188	8	,	,	PUNCT
ejpam-6884	188	9	rh	rh	PROPN
ejpam-6884	188	10	,	,	PUNCT
ejpam-6884	188	11	ph	ph	PROPN
ejpam-6884	188	12	,	,	PUNCT
ejpam-6884	188	13	sa	sa	PROPN
ejpam-6884	188	14	,	,	PUNCT
ejpam-6884	188	15	ia	ia	PROPN
ejpam-6884	188	16	,	,	PUNCT
ejpam-6884	188	17	ra	ra	PROPN
ejpam-6884	188	18	)	)	PUNCT
ejpam-6884	188	19	(	(	PUNCT
ejpam-6884	188	20	ffm	ffm	NOUN
ejpam-6884	188	21	0	0	NUM
ejpam-6884	188	22	)	)	PUNCT
ejpam-6884	188	23	d	d	NOUN
ejpam-6884	188	24	(	(	PUNCT
ejpam-6884	188	25	η,ϑ	η,ϑ	PROPN
ejpam-6884	188	26	)	)	PUNCT
ejpam-6884	188	27	τ	τ	PROPN
ejpam-6884	188	28	ih(τ	ih(τ	PROPN
ejpam-6884	188	29	)	)	PUNCT
ejpam-6884	188	30	=	=	SYM
ejpam-6884	189	1	g2(τ	g2(τ	PROPN
ejpam-6884	189	2	,	,	PUNCT
ejpam-6884	189	3	sh	sh	INTJ
ejpam-6884	189	4	,	,	PUNCT
ejpam-6884	189	5	ih	ih	X
ejpam-6884	189	6	,	,	PUNCT
ejpam-6884	189	7	th	th	INTJ
ejpam-6884	189	8	,	,	PUNCT
ejpam-6884	189	9	rh	rh	PROPN
ejpam-6884	189	10	,	,	PUNCT
ejpam-6884	189	11	ph	ph	PROPN
ejpam-6884	189	12	,	,	PUNCT
ejpam-6884	189	13	sa	sa	PROPN
ejpam-6884	189	14	,	,	PUNCT
ejpam-6884	189	15	ia	ia	PROPN
ejpam-6884	189	16	,	,	PUNCT
ejpam-6884	189	17	ra	ra	PROPN
ejpam-6884	189	18	)	)	PUNCT
ejpam-6884	189	19	(	(	PUNCT
ejpam-6884	189	20	ffm	ffm	NOUN
ejpam-6884	189	21	0	0	NUM
ejpam-6884	189	22	)	)	PUNCT
ejpam-6884	190	1	d	d	NOUN
ejpam-6884	190	2	(	(	PUNCT
ejpam-6884	190	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	190	4	)	)	PUNCT
ejpam-6884	190	5	τ	τ	PROPN
ejpam-6884	190	6	th(τ	th(τ	NOUN
ejpam-6884	190	7	)	)	PUNCT
ejpam-6884	190	8	=	=	SYM
ejpam-6884	191	1	g3(τ	g3(τ	PROPN
ejpam-6884	191	2	,	,	PUNCT
ejpam-6884	191	3	sh	sh	INTJ
ejpam-6884	191	4	,	,	PUNCT
ejpam-6884	191	5	ih	ih	X
ejpam-6884	191	6	,	,	PUNCT
ejpam-6884	191	7	th	th	INTJ
ejpam-6884	191	8	,	,	PUNCT
ejpam-6884	191	9	rh	rh	PROPN
ejpam-6884	191	10	,	,	PUNCT
ejpam-6884	191	11	ph	ph	PROPN
ejpam-6884	191	12	,	,	PUNCT
ejpam-6884	191	13	sa	sa	PROPN
ejpam-6884	191	14	,	,	PUNCT
ejpam-6884	191	15	ia	ia	PROPN
ejpam-6884	191	16	,	,	PUNCT
ejpam-6884	191	17	ra	ra	PROPN
ejpam-6884	191	18	)	)	PUNCT
ejpam-6884	191	19	(	(	PUNCT
ejpam-6884	191	20	ffm	ffm	NOUN
ejpam-6884	191	21	0	0	NUM
ejpam-6884	191	22	)	)	PUNCT
ejpam-6884	192	1	d	d	NOUN
ejpam-6884	192	2	(	(	PUNCT
ejpam-6884	192	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	192	4	)	)	PUNCT
ejpam-6884	192	5	τ	τ	PROPN
ejpam-6884	192	6	rh(τ	rh(τ	PROPN
ejpam-6884	192	7	)	)	PUNCT
ejpam-6884	192	8	=	=	SYM
ejpam-6884	193	1	g4(τ	g4(τ	PROPN
ejpam-6884	193	2	,	,	PUNCT
ejpam-6884	193	3	sh	sh	INTJ
ejpam-6884	193	4	,	,	PUNCT
ejpam-6884	193	5	ih	ih	X
ejpam-6884	193	6	,	,	PUNCT
ejpam-6884	193	7	th	th	INTJ
ejpam-6884	193	8	,	,	PUNCT
ejpam-6884	193	9	rh	rh	PROPN
ejpam-6884	193	10	,	,	PUNCT
ejpam-6884	193	11	ph	ph	PROPN
ejpam-6884	193	12	,	,	PUNCT
ejpam-6884	193	13	sa	sa	PROPN
ejpam-6884	193	14	,	,	PUNCT
ejpam-6884	193	15	ia	ia	PROPN
ejpam-6884	193	16	,	,	PUNCT
ejpam-6884	193	17	ra	ra	PROPN
ejpam-6884	193	18	)	)	PUNCT
ejpam-6884	193	19	(	(	PUNCT
ejpam-6884	193	20	ffm	ffm	NOUN
ejpam-6884	193	21	0	0	NUM
ejpam-6884	193	22	)	)	PUNCT
ejpam-6884	194	1	d	d	NOUN
ejpam-6884	194	2	(	(	PUNCT
ejpam-6884	194	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	194	4	)	)	PUNCT
ejpam-6884	194	5	τ	τ	PROPN
ejpam-6884	194	6	ph(τ	ph(τ	NOUN
ejpam-6884	194	7	)	)	PUNCT
ejpam-6884	194	8	=	=	PUNCT
ejpam-6884	195	1	g5(τ	g5(τ	PROPN
ejpam-6884	195	2	,	,	PUNCT
ejpam-6884	195	3	sh	sh	INTJ
ejpam-6884	195	4	,	,	PUNCT
ejpam-6884	195	5	ih	ih	X
ejpam-6884	195	6	,	,	PUNCT
ejpam-6884	195	7	th	th	INTJ
ejpam-6884	195	8	,	,	PUNCT
ejpam-6884	195	9	rh	rh	PROPN
ejpam-6884	195	10	,	,	PUNCT
ejpam-6884	195	11	ph	ph	PROPN
ejpam-6884	195	12	,	,	PUNCT
ejpam-6884	195	13	sa	sa	PROPN
ejpam-6884	195	14	,	,	PUNCT
ejpam-6884	195	15	ia	ia	PROPN
ejpam-6884	195	16	,	,	PUNCT
ejpam-6884	195	17	ra	ra	PROPN
ejpam-6884	195	18	)	)	PUNCT
ejpam-6884	195	19	(	(	PUNCT
ejpam-6884	195	20	ffm	ffm	NOUN
ejpam-6884	195	21	0	0	NUM
ejpam-6884	195	22	)	)	PUNCT
ejpam-6884	196	1	d	d	NOUN
ejpam-6884	196	2	(	(	PUNCT
ejpam-6884	196	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	196	4	)	)	PUNCT
ejpam-6884	196	5	τ	τ	PROPN
ejpam-6884	196	6	sa(τ	sa(τ	X
ejpam-6884	196	7	)	)	PUNCT
ejpam-6884	196	8	=	=	SYM
ejpam-6884	197	1	g6(τ	g6(τ	PROPN
ejpam-6884	197	2	,	,	PUNCT
ejpam-6884	197	3	sh	sh	INTJ
ejpam-6884	197	4	,	,	PUNCT
ejpam-6884	197	5	ih	ih	X
ejpam-6884	197	6	,	,	PUNCT
ejpam-6884	197	7	th	th	INTJ
ejpam-6884	197	8	,	,	PUNCT
ejpam-6884	197	9	rh	rh	PROPN
ejpam-6884	197	10	,	,	PUNCT
ejpam-6884	197	11	ph	ph	PROPN
ejpam-6884	197	12	,	,	PUNCT
ejpam-6884	197	13	sa	sa	PROPN
ejpam-6884	197	14	,	,	PUNCT
ejpam-6884	197	15	ia	ia	PROPN
ejpam-6884	197	16	,	,	PUNCT
ejpam-6884	197	17	ra	ra	PROPN
ejpam-6884	197	18	)	)	PUNCT
ejpam-6884	197	19	(	(	PUNCT
ejpam-6884	197	20	ffm	ffm	NOUN
ejpam-6884	197	21	0	0	NUM
ejpam-6884	197	22	)	)	PUNCT
ejpam-6884	198	1	d	d	NOUN
ejpam-6884	198	2	(	(	PUNCT
ejpam-6884	198	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	198	4	)	)	PUNCT
ejpam-6884	198	5	τ	τ	X
ejpam-6884	198	6	ia(τ	ia(τ	X
ejpam-6884	198	7	)	)	PUNCT
ejpam-6884	198	8	=	=	SYM
ejpam-6884	198	9	g7(τ	g7(τ	PROPN
ejpam-6884	198	10	,	,	PUNCT
ejpam-6884	198	11	sh	sh	INTJ
ejpam-6884	198	12	,	,	PUNCT
ejpam-6884	198	13	ih	ih	X
ejpam-6884	198	14	,	,	PUNCT
ejpam-6884	198	15	th	th	INTJ
ejpam-6884	198	16	,	,	PUNCT
ejpam-6884	198	17	rh	rh	PROPN
ejpam-6884	198	18	,	,	PUNCT
ejpam-6884	198	19	ph	ph	PROPN
ejpam-6884	198	20	,	,	PUNCT
ejpam-6884	198	21	sa	sa	PROPN
ejpam-6884	198	22	,	,	PUNCT
ejpam-6884	198	23	ia	ia	PROPN
ejpam-6884	198	24	,	,	PUNCT
ejpam-6884	198	25	ra	ra	PROPN
ejpam-6884	198	26	)	)	PUNCT
ejpam-6884	198	27	(	(	PUNCT
ejpam-6884	198	28	ffm	ffm	NOUN
ejpam-6884	198	29	0	0	NUM
ejpam-6884	198	30	)	)	PUNCT
ejpam-6884	199	1	d	d	NOUN
ejpam-6884	199	2	(	(	PUNCT
ejpam-6884	199	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	199	4	)	)	PUNCT
ejpam-6884	199	5	τ	τ	X
ejpam-6884	199	6	ra(τ	ra(τ	X
ejpam-6884	199	7	)	)	PUNCT
ejpam-6884	199	8	=	=	PUNCT
ejpam-6884	200	1	g8(τ	g8(τ	PROPN
ejpam-6884	200	2	,	,	PUNCT
ejpam-6884	200	3	sh	sh	INTJ
ejpam-6884	200	4	,	,	PUNCT
ejpam-6884	200	5	ih	ih	X
ejpam-6884	200	6	,	,	PUNCT
ejpam-6884	200	7	th	th	INTJ
ejpam-6884	200	8	,	,	PUNCT
ejpam-6884	200	9	rh	rh	PROPN
ejpam-6884	200	10	,	,	PUNCT
ejpam-6884	200	11	ph	ph	PROPN
ejpam-6884	200	12	,	,	PUNCT
ejpam-6884	200	13	sa	sa	PROPN
ejpam-6884	200	14	,	,	PUNCT
ejpam-6884	200	15	ia	ia	PROPN
ejpam-6884	200	16	,	,	PUNCT
ejpam-6884	200	17	ra	ra	PROPN
ejpam-6884	200	18	)	)	PUNCT
ejpam-6884	200	19	.	.	PUNCT
ejpam-6884	201	1	(	(	PUNCT
ejpam-6884	201	2	4	4	X
ejpam-6884	201	3	)	)	PUNCT
ejpam-6884	201	4	the	the	DET
ejpam-6884	201	5	analysis	analysis	NOUN
ejpam-6884	201	6	begins	begin	VERB
ejpam-6884	201	7	by	by	ADP
ejpam-6884	201	8	considering	consider	VERB
ejpam-6884	201	9	uncertain	uncertain	ADJ
ejpam-6884	201	10	initial	initial	ADJ
ejpam-6884	201	11	conditions	condition	NOUN
ejpam-6884	201	12	.	.	PUNCT
ejpam-6884	202	1	s̃h(0	s̃h(0	NOUN
ejpam-6884	202	2	,	,	PUNCT
ejpam-6884	202	3	γ	γ	NOUN
ejpam-6884	202	4	)	)	PUNCT
ejpam-6884	202	5	=	=	NOUN
ejpam-6884	203	1	[	[	X
ejpam-6884	203	2	sh(0	sh(0	NOUN
ejpam-6884	203	3	,	,	PUNCT
ejpam-6884	203	4	γ	γ	NOUN
ejpam-6884	203	5	)	)	PUNCT
ejpam-6884	203	6	,	,	PUNCT
ejpam-6884	203	7	sh(0	sh(0	PROPN
ejpam-6884	203	8	,	,	PUNCT
ejpam-6884	203	9	γ	γ	NOUN
ejpam-6884	203	10	)	)	PUNCT
ejpam-6884	203	11	]	]	PUNCT
ejpam-6884	203	12	ĩh(0	ĩh(0	PROPN
ejpam-6884	203	13	,	,	PUNCT
ejpam-6884	203	14	γ	γ	NOUN
ejpam-6884	203	15	)	)	PUNCT
ejpam-6884	203	16	=	=	NOUN
ejpam-6884	204	1	[	[	X
ejpam-6884	204	2	ih(0	ih(0	NOUN
ejpam-6884	204	3	,	,	PUNCT
ejpam-6884	204	4	γ	γ	NOUN
ejpam-6884	204	5	)	)	PUNCT
ejpam-6884	204	6	,	,	PUNCT
ejpam-6884	204	7	ih(0	ih(0	PROPN
ejpam-6884	204	8	,	,	PUNCT
ejpam-6884	204	9	γ	γ	NOUN
ejpam-6884	204	10	)	)	PUNCT
ejpam-6884	204	11	]	]	PUNCT
ejpam-6884	205	1	t̃h(0	t̃h(0	NOUN
ejpam-6884	205	2	,	,	PUNCT
ejpam-6884	205	3	γ	γ	NOUN
ejpam-6884	205	4	)	)	PUNCT
ejpam-6884	205	5	=	=	PUNCT
ejpam-6884	206	1	[	[	X
ejpam-6884	206	2	th(0	th(0	NOUN
ejpam-6884	206	3	,	,	PUNCT
ejpam-6884	206	4	γ	γ	NOUN
ejpam-6884	206	5	)	)	PUNCT
ejpam-6884	206	6	,	,	PUNCT
ejpam-6884	206	7	th(0	th(0	PROPN
ejpam-6884	206	8	,	,	PUNCT
ejpam-6884	206	9	γ	γ	NOUN
ejpam-6884	206	10	)	)	PUNCT
ejpam-6884	206	11	]	]	PUNCT
ejpam-6884	207	1	v.	v.	CCONJ
ejpam-6884	207	2	govindan	govindan	PROPN
ejpam-6884	207	3	et	et	PROPN
ejpam-6884	207	4	al	al	PROPN
ejpam-6884	207	5	.	.	PUNCT
ejpam-6884	207	6	/	/	SYM
ejpam-6884	207	7	eur	eur	PROPN
ejpam-6884	207	8	.	.	PUNCT
ejpam-6884	208	1	j.	j.	PROPN
ejpam-6884	208	2	pure	pure	PROPN
ejpam-6884	208	3	appl	appl	PROPN
ejpam-6884	208	4	.	.	PROPN
ejpam-6884	208	5	math	math	PROPN
ejpam-6884	208	6	,	,	PUNCT
ejpam-6884	208	7	18	18	NUM
ejpam-6884	208	8	(	(	PUNCT
ejpam-6884	208	9	4	4	NUM
ejpam-6884	208	10	)	)	PUNCT
ejpam-6884	208	11	(	(	PUNCT
ejpam-6884	208	12	2025	2025	NUM
ejpam-6884	208	13	)	)	PUNCT
ejpam-6884	208	14	,	,	PUNCT
ejpam-6884	208	15	6884	6884	NUM
ejpam-6884	208	16	11	11	NUM
ejpam-6884	208	17	of	of	ADP
ejpam-6884	208	18	29	29	NUM
ejpam-6884	208	19	r̃h(0	r̃h(0	NOUN
ejpam-6884	208	20	,	,	PUNCT
ejpam-6884	208	21	γ	γ	NOUN
ejpam-6884	208	22	)	)	PUNCT
ejpam-6884	208	23	=	=	NOUN
ejpam-6884	209	1	[	[	X
ejpam-6884	209	2	rh(0	rh(0	NOUN
ejpam-6884	209	3	,	,	PUNCT
ejpam-6884	209	4	γ	γ	NOUN
ejpam-6884	209	5	)	)	PUNCT
ejpam-6884	209	6	,	,	PUNCT
ejpam-6884	209	7	rh(0	rh(0	NOUN
ejpam-6884	209	8	,	,	PUNCT
ejpam-6884	209	9	γ	γ	NOUN
ejpam-6884	209	10	)	)	PUNCT
ejpam-6884	209	11	]	]	PUNCT
ejpam-6884	210	1	p̃h(0	p̃h(0	PROPN
ejpam-6884	210	2	,	,	PUNCT
ejpam-6884	210	3	γ	γ	NOUN
ejpam-6884	210	4	)	)	PUNCT
ejpam-6884	210	5	=	=	PUNCT
ejpam-6884	211	1	[	[	X
ejpam-6884	211	2	ph(0	ph(0	NOUN
ejpam-6884	211	3	,	,	PUNCT
ejpam-6884	211	4	γ	γ	NOUN
ejpam-6884	211	5	)	)	PUNCT
ejpam-6884	211	6	,	,	PUNCT
ejpam-6884	211	7	ph(0	ph(0	PROPN
ejpam-6884	211	8	,	,	PUNCT
ejpam-6884	211	9	γ	γ	NOUN
ejpam-6884	211	10	)	)	PUNCT
ejpam-6884	211	11	]	]	PUNCT
ejpam-6884	211	12	s̃a(0	s̃a(0	NUM
ejpam-6884	211	13	,	,	PUNCT
ejpam-6884	211	14	γ	γ	NOUN
ejpam-6884	211	15	)	)	PUNCT
ejpam-6884	211	16	=	=	PUNCT
ejpam-6884	212	1	[	[	X
ejpam-6884	212	2	sa(0	sa(0	PROPN
ejpam-6884	212	3	,	,	PUNCT
ejpam-6884	212	4	γ	γ	NOUN
ejpam-6884	212	5	)	)	PUNCT
ejpam-6884	212	6	,	,	PUNCT
ejpam-6884	212	7	sa(0	sa(0	PROPN
ejpam-6884	212	8	,	,	PUNCT
ejpam-6884	212	9	γ	γ	NOUN
ejpam-6884	212	10	)	)	PUNCT
ejpam-6884	212	11	]	]	PUNCT
ejpam-6884	213	1	ĩa(0	ĩa(0	NUM
ejpam-6884	213	2	,	,	PUNCT
ejpam-6884	213	3	γ	γ	NOUN
ejpam-6884	213	4	)	)	PUNCT
ejpam-6884	213	5	=	=	PUNCT
ejpam-6884	214	1	[	[	X
ejpam-6884	214	2	ia(0	ia(0	X
ejpam-6884	214	3	,	,	PUNCT
ejpam-6884	214	4	γ	γ	NOUN
ejpam-6884	214	5	)	)	PUNCT
ejpam-6884	214	6	,	,	PUNCT
ejpam-6884	214	7	ia(0	ia(0	PROPN
ejpam-6884	214	8	,	,	PUNCT
ejpam-6884	214	9	γ	γ	NOUN
ejpam-6884	214	10	)	)	PUNCT
ejpam-6884	214	11	]	]	PUNCT
ejpam-6884	215	1	r̃a(0	r̃a(0	PROPN
ejpam-6884	215	2	,	,	PUNCT
ejpam-6884	215	3	γ	γ	NOUN
ejpam-6884	215	4	)	)	PUNCT
ejpam-6884	215	5	=	=	PUNCT
ejpam-6884	216	1	[	[	X
ejpam-6884	216	2	ra(0	ra(0	NOUN
ejpam-6884	216	3	,	,	PUNCT
ejpam-6884	216	4	γ	γ	NOUN
ejpam-6884	216	5	)	)	PUNCT
ejpam-6884	216	6	,	,	PUNCT
ejpam-6884	216	7	ra(0	ra(0	PROPN
ejpam-6884	216	8	,	,	PUNCT
ejpam-6884	216	9	γ	γ	NOUN
ejpam-6884	216	10	)	)	PUNCT
ejpam-6884	216	11	]	]	PUNCT
ejpam-6884	216	12	.	.	PUNCT
ejpam-6884	217	1	the	the	DET
ejpam-6884	217	2	system	system	NOUN
ejpam-6884	217	3	can	can	AUX
ejpam-6884	217	4	be	be	AUX
ejpam-6884	217	5	further	far	ADV
ejpam-6884	217	6	written	write	VERB
ejpam-6884	217	7	as	as	ADP
ejpam-6884	217	8	(	(	PUNCT
ejpam-6884	217	9	abr	abr	NOUN
ejpam-6884	217	10	0	0	NUM
ejpam-6884	217	11	)	)	PUNCT
ejpam-6884	217	12	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	217	13	)	)	PUNCT
ejpam-6884	217	14	τ	τ	PROPN
ejpam-6884	217	15	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	217	16	)	)	PUNCT
ejpam-6884	217	17	=	=	SYM
ejpam-6884	218	1	ϑτϑ−1ω̃(τ	ϑτϑ−1ω̃(τ	NOUN
ejpam-6884	218	2	,	,	PUNCT
ejpam-6884	218	3	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	218	4	)	)	PUNCT
ejpam-6884	218	5	)	)	PUNCT
ejpam-6884	218	6	with	with	ADP
ejpam-6884	218	7	φ̃(0	φ̃(0	ADV
ejpam-6884	218	8	)	)	PUNCT
ejpam-6884	218	9	=	=	SYM
ejpam-6884	219	1	φ̃0	φ̃0	NOUN
ejpam-6884	219	2	.	.	NOUN
ejpam-6884	219	3	replacing	replace	VERB
ejpam-6884	219	4	(	(	PUNCT
ejpam-6884	219	5	abr	abr	NOUN
ejpam-6884	219	6	0	0	NUM
ejpam-6884	219	7	)	)	PUNCT
ejpam-6884	220	1	d	d	NOUN
ejpam-6884	220	2	(	(	PUNCT
ejpam-6884	220	3	η,ϑ	η,ϑ	PROPN
ejpam-6884	220	4	)	)	PUNCT
ejpam-6884	220	5	τ	τ	PROPN
ejpam-6884	220	6	with	with	ADP
ejpam-6884	220	7	(	(	PUNCT
ejpam-6884	220	8	abc	abc	PROPN
ejpam-6884	220	9	0	0	NUM
ejpam-6884	220	10	)	)	PUNCT
ejpam-6884	220	11	d	d	NOUN
ejpam-6884	220	12	(	(	PUNCT
ejpam-6884	220	13	η,ϑ	η,ϑ	PROPN
ejpam-6884	220	14	)	)	PUNCT
ejpam-6884	220	15	τ	τ	PROPN
ejpam-6884	220	16	,	,	PUNCT
ejpam-6884	220	17	applying	apply	VERB
ejpam-6884	220	18	the	the	DET
ejpam-6884	220	19	fuzzy	fuzzy	ADJ
ejpam-6884	220	20	fractional	fractional	ADJ
ejpam-6884	220	21	integral	integral	ADJ
ejpam-6884	220	22	operator	operator	NOUN
ejpam-6884	220	23	iϑ	iϑ	INTJ
ejpam-6884	220	24	together	together	ADV
ejpam-6884	220	25	with	with	ADP
ejpam-6884	220	26	the	the	DET
ejpam-6884	220	27	provided	provide	VERB
ejpam-6884	220	28	initial	initial	ADJ
ejpam-6884	220	29	conditions	condition	NOUN
ejpam-6884	220	30	,	,	PUNCT
ejpam-6884	220	31	the	the	DET
ejpam-6884	220	32	system	system	NOUN
ejpam-6884	220	33	is	be	AUX
ejpam-6884	220	34	reformulated	reformulate	VERB
ejpam-6884	220	35	.	.	PUNCT
ejpam-6884	221	1	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	221	2	)	)	PUNCT
ejpam-6884	222	1	=	=	SYM
ejpam-6884	222	2	φ̃(0	φ̃(0	ADV
ejpam-6884	222	3	,	,	PUNCT
ejpam-6884	222	4	γ)+	γ)+	PROPN
ejpam-6884	222	5	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	222	6	η	η	NOUN
ejpam-6884	222	7	)	)	PUNCT
ejpam-6884	222	8	ab(η	ab(η	NUM
ejpam-6884	222	9	)	)	PUNCT
ejpam-6884	223	1	ω(τ	ω(τ	PROPN
ejpam-6884	223	2	,	,	PUNCT
ejpam-6884	223	3	φ̃(τ))+	φ̃(τ))+	ADP
ejpam-6884	223	4	ηϑ	ηϑ	PROPN
ejpam-6884	223	5	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	223	6	)	)	PUNCT
ejpam-6884	224	1	×	×	NOUN
ejpam-6884	224	2	∫	∫	PROPN
ejpam-6884	224	3	τ	τ	X
ejpam-6884	224	4	0	0	NUM
ejpam-6884	224	5	mϑ−1(τ−m)η−1ω(τ	mϑ−1(τ−m)η−1ω(τ	PROPN
ejpam-6884	224	6	,	,	PUNCT
ejpam-6884	224	7	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	224	8	)	)	PUNCT
ejpam-6884	224	9	)	)	PUNCT
ejpam-6884	225	1	dm	dm	PROPN
ejpam-6884	225	2	.	.	PUNCT
ejpam-6884	226	1	(	(	PUNCT
ejpam-6884	226	2	5	5	NUM
ejpam-6884	226	3	)	)	PUNCT
ejpam-6884	226	4	where	where	SCONJ
ejpam-6884	226	5	φ̃(t	φ̃(t	NOUN
ejpam-6884	226	6	)	)	PUNCT
ejpam-6884	226	7	=	=	SYM
ejpam-6884	226	8			NUM
ejpam-6884	226	9	sh(τ	sh(τ	NOUN
ejpam-6884	226	10	)	)	PUNCT
ejpam-6884	226	11	ih(t	ih(t	NUM
ejpam-6884	226	12	)	)	PUNCT
ejpam-6884	226	13	th(t	th(t	NUM
ejpam-6884	226	14	)	)	PUNCT
ejpam-6884	226	15	rh(t	rh(t	X
ejpam-6884	226	16	)	)	PUNCT
ejpam-6884	226	17	ph(t	ph(t	PUNCT
ejpam-6884	226	18	)	)	PUNCT
ejpam-6884	226	19	sa(t	sa(t	NUM
ejpam-6884	226	20	)	)	PUNCT
ejpam-6884	226	21	ia(t	ia(t	PUNCT
ejpam-6884	226	22	)	)	PUNCT
ejpam-6884	226	23	ra(τ	ra(τ	PROPN
ejpam-6884	226	24	)	)	PUNCT
ejpam-6884	226	25	,	,	PUNCT
ejpam-6884	226	26	φ̃(0	φ̃(0	ADV
ejpam-6884	226	27	,	,	PUNCT
ejpam-6884	226	28	γ	γ	NOUN
ejpam-6884	226	29	)	)	PUNCT
ejpam-6884	226	30	=	=	SYM
ejpam-6884	226	31			NUM
ejpam-6884	226	32	s̃h(0	s̃h(0	PROPN
ejpam-6884	226	33	,	,	PUNCT
ejpam-6884	226	34	γ	γ	NOUN
ejpam-6884	226	35	)	)	PUNCT
ejpam-6884	226	36	ĩh(0	ĩh(0	PROPN
ejpam-6884	226	37	,	,	PUNCT
ejpam-6884	226	38	γ	γ	NOUN
ejpam-6884	226	39	)	)	PUNCT
ejpam-6884	226	40	t̃h(0	t̃h(0	PROPN
ejpam-6884	226	41	,	,	PUNCT
ejpam-6884	226	42	γ	γ	NOUN
ejpam-6884	226	43	)	)	PUNCT
ejpam-6884	226	44	r̃h(0	r̃h(0	PROPN
ejpam-6884	226	45	,	,	PUNCT
ejpam-6884	226	46	γ	γ	NOUN
ejpam-6884	226	47	)	)	PUNCT
ejpam-6884	226	48	p̃h(0	p̃h(0	PROPN
ejpam-6884	226	49	,	,	PUNCT
ejpam-6884	226	50	γ	γ	NOUN
ejpam-6884	226	51	)	)	PUNCT
ejpam-6884	226	52	s̃a(0	s̃a(0	NOUN
ejpam-6884	226	53	,	,	PUNCT
ejpam-6884	226	54	γ	γ	NOUN
ejpam-6884	226	55	)	)	PUNCT
ejpam-6884	226	56	ĩa(0	ĩa(0	PROPN
ejpam-6884	226	57	,	,	PUNCT
ejpam-6884	226	58	γ	γ	NOUN
ejpam-6884	226	59	)	)	PUNCT
ejpam-6884	226	60	r̃a(0	r̃a(0	PROPN
ejpam-6884	226	61	,	,	PUNCT
ejpam-6884	226	62	γ	γ	NOUN
ejpam-6884	226	63	)	)	PUNCT
ejpam-6884	226	64	,	,	PUNCT
ejpam-6884	226	65	ω(t	ω(t	NOUN
ejpam-6884	226	66	,	,	PUNCT
ejpam-6884	226	67	φ̃(t	φ̃(t	NOUN
ejpam-6884	226	68	)	)	PUNCT
ejpam-6884	226	69	)	)	PUNCT
ejpam-6884	226	70	=	=	PRON
ejpam-6884	226	71			NUM
ejpam-6884	226	72	ψ1(t	ψ1(t	ADJ
ejpam-6884	226	73	,	,	PUNCT
ejpam-6884	226	74	sh(t	sh(t	NUM
ejpam-6884	226	75	)	)	PUNCT
ejpam-6884	226	76	)	)	PUNCT
ejpam-6884	227	1	ψ2(t	ψ2(t	PROPN
ejpam-6884	227	2	,	,	PUNCT
ejpam-6884	227	3	ih(t	ih(t	X
ejpam-6884	227	4	)	)	PUNCT
ejpam-6884	227	5	)	)	PUNCT
ejpam-6884	228	1	ψ3(t	ψ3(t	PROPN
ejpam-6884	228	2	,	,	PUNCT
ejpam-6884	228	3	th(t	th(t	NUM
ejpam-6884	228	4	)	)	PUNCT
ejpam-6884	228	5	)	)	PUNCT
ejpam-6884	229	1	ψ4(t	ψ4(t	PROPN
ejpam-6884	229	2	,	,	PUNCT
ejpam-6884	229	3	rh(t	rh(t	NUM
ejpam-6884	229	4	)	)	PUNCT
ejpam-6884	229	5	)	)	PUNCT
ejpam-6884	230	1	ψ5(t	ψ5(t	NOUN
ejpam-6884	230	2	,	,	PUNCT
ejpam-6884	230	3	ph(t	ph(t	NUM
ejpam-6884	230	4	)	)	PUNCT
ejpam-6884	230	5	)	)	PUNCT
ejpam-6884	230	6	ψ6(t	ψ6(t	NOUN
ejpam-6884	230	7	,	,	PUNCT
ejpam-6884	230	8	sa(t	sa(t	NUM
ejpam-6884	230	9	)	)	PUNCT
ejpam-6884	230	10	)	)	PUNCT
ejpam-6884	231	1	ψ7(t	ψ7(t	NOUN
ejpam-6884	231	2	,	,	PUNCT
ejpam-6884	231	3	ia(t	ia(t	NOUN
ejpam-6884	231	4	)	)	PUNCT
ejpam-6884	231	5	)	)	PUNCT
ejpam-6884	232	1	ψ7(t	ψ7(t	NOUN
ejpam-6884	232	2	,	,	PUNCT
ejpam-6884	232	3	ra(t	ra(t	NOUN
ejpam-6884	232	4	)	)	PUNCT
ejpam-6884	232	5	)	)	PUNCT
ejpam-6884	232	6	.	.	PUNCT
ejpam-6884	233	1	a	a	DET
ejpam-6884	233	2	banach	banach	NOUN
ejpam-6884	233	3	space	space	NOUN
ejpam-6884	234	1	i	i	PRON
ejpam-6884	234	2	=	=	PUNCT
ejpam-6884	235	1	c	c	X
ejpam-6884	235	2	×	×	NOUN
ejpam-6884	235	3	c	c	NOUN
ejpam-6884	235	4	×	×	NOUN
ejpam-6884	235	5	c	c	NOUN
ejpam-6884	235	6	×	×	NOUN
ejpam-6884	235	7	c	c	NOUN
ejpam-6884	235	8	×	×	NOUN
ejpam-6884	235	9	c	c	NOUN
ejpam-6884	235	10	×	×	NOUN
ejpam-6884	235	11	c	c	NOUN
ejpam-6884	235	12	×	×	NOUN
ejpam-6884	235	13	c	c	NOUN
ejpam-6884	235	14	is	be	AUX
ejpam-6884	235	15	constructed	construct	VERB
ejpam-6884	235	16	,	,	PUNCT
ejpam-6884	235	17	where	where	SCONJ
ejpam-6884	235	18	c[0,k	c[0,k	NOUN
ejpam-6884	235	19	]	]	X
ejpam-6884	235	20	denotes	denote	VERB
ejpam-6884	235	21	the	the	DET
ejpam-6884	235	22	space	space	NOUN
ejpam-6884	235	23	of	of	ADP
ejpam-6884	235	24	continuous	continuous	ADJ
ejpam-6884	235	25	functions	function	NOUN
ejpam-6884	235	26	over	over	ADP
ejpam-6884	235	27	the	the	DET
ejpam-6884	235	28	interval	interval	NOUN
ejpam-6884	236	1	[	[	X
ejpam-6884	236	2	0,k	0,k	X
ejpam-6884	236	3	]	]	PUNCT
ejpam-6884	236	4	,	,	PUNCT
ejpam-6884	236	5	equipped	equip	VERB
ejpam-6884	236	6	with	with	ADP
ejpam-6884	236	7	the	the	DET
ejpam-6884	236	8	norm	norm	NOUN
ejpam-6884	236	9	:	:	PUNCT
ejpam-6884	237	1	∥φ̃∥	∥φ̃∥	PROPN
ejpam-6884	237	2	=	=	PUNCT
ejpam-6884	237	3	max	max	PROPN
ejpam-6884	237	4	τ∈[0,k	τ∈[0,k	PROPN
ejpam-6884	237	5	]	]	X
ejpam-6884	237	6	|sh(τ	|sh(τ	NUM
ejpam-6884	237	7	)	)	PUNCT
ejpam-6884	237	8	,	,	PUNCT
ejpam-6884	237	9	ih(τ	ih(τ	NOUN
ejpam-6884	237	10	)	)	PUNCT
ejpam-6884	237	11	,	,	PUNCT
ejpam-6884	237	12	th(τ	th(τ	NUM
ejpam-6884	237	13	)	)	PUNCT
ejpam-6884	237	14	,	,	PUNCT
ejpam-6884	237	15	rh(τ	rh(τ	NUM
ejpam-6884	237	16	)	)	PUNCT
ejpam-6884	237	17	,	,	PUNCT
ejpam-6884	237	18	ph(τ	ph(τ	NOUN
ejpam-6884	237	19	)	)	PUNCT
ejpam-6884	237	20	,	,	PUNCT
ejpam-6884	237	21	sa(τ	sa(τ	X
ejpam-6884	237	22	)	)	PUNCT
ejpam-6884	237	23	,	,	PUNCT
ejpam-6884	237	24	ia(τ	ia(τ	NOUN
ejpam-6884	237	25	)	)	PUNCT
ejpam-6884	237	26	,	,	PUNCT
ejpam-6884	237	27	ra(τ)|	ra(τ)|	ADV
ejpam-6884	237	28	.	.	PUNCT
ejpam-6884	238	1	to	to	PART
ejpam-6884	238	2	examine	examine	VERB
ejpam-6884	238	3	the	the	DET
ejpam-6884	238	4	existence	existence	NOUN
ejpam-6884	238	5	of	of	ADP
ejpam-6884	238	6	a	a	DET
ejpam-6884	238	7	solution	solution	NOUN
ejpam-6884	238	8	,	,	PUNCT
ejpam-6884	238	9	the	the	DET
ejpam-6884	238	10	operator	operator	NOUN
ejpam-6884	238	11	ψ	ψ	X
ejpam-6884	238	12	:	:	PUNCT
ejpam-6884	238	13	i	i	PRON
ejpam-6884	238	14	→	→	PUNCT
ejpam-6884	238	15	i	i	PRON
ejpam-6884	238	16	is	be	AUX
ejpam-6884	238	17	defined	define	VERB
ejpam-6884	238	18	as	as	SCONJ
ejpam-6884	238	19	follows	follow	VERB
ejpam-6884	238	20	:	:	PUNCT
ejpam-6884	238	21	ψ(φ̃)(τ	ψ(φ̃)(τ	NUM
ejpam-6884	238	22	)	)	PUNCT
ejpam-6884	239	1	=	=	PUNCT
ejpam-6884	239	2	φ̃(0	φ̃(0	ADV
ejpam-6884	239	3	,	,	PUNCT
ejpam-6884	239	4	γ)+	γ)+	PROPN
ejpam-6884	239	5	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	239	6	η	η	NOUN
ejpam-6884	239	7	)	)	PUNCT
ejpam-6884	239	8	ab(η	ab(η	NUM
ejpam-6884	239	9	)	)	PUNCT
ejpam-6884	240	1	ω(τ	ω(τ	PROPN
ejpam-6884	240	2	,	,	PUNCT
ejpam-6884	240	3	φ̃(τ))+	φ̃(τ))+	ADP
ejpam-6884	240	4	ηϑ	ηϑ	PROPN
ejpam-6884	240	5	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	240	6	)	)	PUNCT
ejpam-6884	241	1	×	×	NOUN
ejpam-6884	241	2	∫	∫	PROPN
ejpam-6884	241	3	τ	τ	X
ejpam-6884	241	4	0	0	NUM
ejpam-6884	241	5	mϑ−1(τ−m)η−1ω(τ	mϑ−1(τ−m)η−1ω(τ	PROPN
ejpam-6884	241	6	,	,	PUNCT
ejpam-6884	241	7	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	241	8	)	)	PUNCT
ejpam-6884	241	9	)	)	PUNCT
ejpam-6884	242	1	dm	dm	AUX
ejpam-6884	242	2	.	.	PUNCT
ejpam-6884	242	3	assume	assume	VERB
ejpam-6884	242	4	the	the	DET
ejpam-6884	242	5	nonlinear	nonlinear	ADJ
ejpam-6884	242	6	function	function	NOUN
ejpam-6884	242	7	ω(τ	ω(τ	PROPN
ejpam-6884	242	8	,	,	PUNCT
ejpam-6884	242	9	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	242	10	)	)	PUNCT
ejpam-6884	242	11	)	)	PUNCT
ejpam-6884	242	12	satisfies	satisfy	VERB
ejpam-6884	242	13	the	the	DET
ejpam-6884	242	14	lipschitz	lipschitz	NOUN
ejpam-6884	242	15	conditions	condition	NOUN
ejpam-6884	242	16	and	and	CCONJ
ejpam-6884	242	17	a	a	DET
ejpam-6884	242	18	bounded	bounded	ADJ
ejpam-6884	242	19	growth	growth	NOUN
ejpam-6884	242	20	condition	condition	NOUN
ejpam-6884	242	21	.	.	PUNCT
ejpam-6884	243	1	that	that	PRON
ejpam-6884	243	2	is	be	AUX
ejpam-6884	243	3	,	,	PUNCT
ejpam-6884	243	4	for	for	ADP
ejpam-6884	243	5	every	every	DET
ejpam-6884	243	6	φ̃	φ̃	PROPN
ejpam-6884	243	7	∈	∈	PROPN
ejpam-6884	243	8	i	i	PRON
ejpam-6884	243	9	,	,	PUNCT
ejpam-6884	243	10	there	there	PRON
ejpam-6884	243	11	exists	exist	VERB
ejpam-6884	243	12	a	a	DET
ejpam-6884	243	13	constant	constant	ADJ
ejpam-6884	243	14	cφ	cφ	X
ejpam-6884	243	15	>	>	X
ejpam-6884	243	16	0	0	PROPN
ejpam-6884	243	17	and	and	CCONJ
ejpam-6884	243	18	gφ	gφ	INTJ
ejpam-6884	243	19	such	such	ADJ
ejpam-6884	243	20	that	that	SCONJ
ejpam-6884	243	21	:	:	PUNCT
ejpam-6884	243	22	|ω(τ	|ω(τ	PROPN
ejpam-6884	243	23	,	,	PUNCT
ejpam-6884	243	24	φ̃(τ))|	φ̃(τ))|	PROPN
ejpam-6884	243	25	≤	≤	NOUN
ejpam-6884	243	26	cφ|φ̃(τ)|+gφ	cφ|φ̃(τ)|+gφ	NOUN
ejpam-6884	243	27	.	.	PUNCT
ejpam-6884	244	1	v.	v.	ADP
ejpam-6884	244	2	govindan	govindan	PROPN
ejpam-6884	244	3	et	et	PROPN
ejpam-6884	244	4	al	al	PROPN
ejpam-6884	244	5	.	.	PUNCT
ejpam-6884	244	6	/	/	SYM
ejpam-6884	244	7	eur	eur	PROPN
ejpam-6884	244	8	.	.	PUNCT
ejpam-6884	245	1	j.	j.	PROPN
ejpam-6884	245	2	pure	pure	PROPN
ejpam-6884	245	3	appl	appl	PROPN
ejpam-6884	245	4	.	.	PROPN
ejpam-6884	245	5	math	math	PROPN
ejpam-6884	245	6	,	,	PUNCT
ejpam-6884	245	7	18	18	NUM
ejpam-6884	245	8	(	(	PUNCT
ejpam-6884	245	9	4	4	NUM
ejpam-6884	245	10	)	)	PUNCT
ejpam-6884	245	11	(	(	PUNCT
ejpam-6884	245	12	2025	2025	NUM
ejpam-6884	245	13	)	)	PUNCT
ejpam-6884	245	14	,	,	PUNCT
ejpam-6884	245	15	6884	6884	NUM
ejpam-6884	245	16	12	12	NUM
ejpam-6884	245	17	of	of	ADP
ejpam-6884	245	18	29	29	NUM
ejpam-6884	245	19	and	and	CCONJ
ejpam-6884	245	20	for	for	ADP
ejpam-6884	245	21	all	all	DET
ejpam-6884	245	22	φ̃1	φ̃1	PROPN
ejpam-6884	245	23	,	,	PUNCT
ejpam-6884	245	24	φ̃2	φ̃2	PROPN
ejpam-6884	245	25	∈	∈	PROPN
ejpam-6884	246	1	i	i	PRON
ejpam-6884	246	2	,	,	PUNCT
ejpam-6884	246	3	there	there	PRON
ejpam-6884	246	4	exists	exist	VERB
ejpam-6884	246	5	a	a	DET
ejpam-6884	246	6	constant	constant	ADJ
ejpam-6884	246	7	hφ	hφ	NOUN
ejpam-6884	246	8	>	>	X
ejpam-6884	246	9	0	0	NUM
ejpam-6884	246	10	such	such	ADJ
ejpam-6884	246	11	that	that	SCONJ
ejpam-6884	246	12	:	:	PUNCT
ejpam-6884	246	13	|ω(τ	|ω(τ	PROPN
ejpam-6884	246	14	,	,	PUNCT
ejpam-6884	246	15	φ̃1(τ))−	φ̃1(τ))−	NOUN
ejpam-6884	246	16	ω(τ	ω(τ	NOUN
ejpam-6884	246	17	,	,	PUNCT
ejpam-6884	246	18	φ̃2(τ))|	φ̃2(τ))|	NOUN
ejpam-6884	246	19	≤	≤	NUM
ejpam-6884	246	20	hφ|φ̃1(τ)−	hφ|φ̃1(τ)−	PROPN
ejpam-6884	246	21	φ̃2(τ)|	φ̃2(τ)|	PROPN
ejpam-6884	246	22	.	.	PUNCT
ejpam-6884	247	1	(	(	PUNCT
ejpam-6884	247	2	6	6	X
ejpam-6884	247	3	)	)	PUNCT
ejpam-6884	247	4	these	these	DET
ejpam-6884	247	5	conditions	condition	NOUN
ejpam-6884	247	6	are	be	AUX
ejpam-6884	247	7	used	use	VERB
ejpam-6884	247	8	to	to	PART
ejpam-6884	247	9	establish	establish	VERB
ejpam-6884	247	10	the	the	DET
ejpam-6884	247	11	uniqueness	uniqueness	NOUN
ejpam-6884	247	12	and	and	CCONJ
ejpam-6884	247	13	stability	stability	NOUN
ejpam-6884	247	14	of	of	ADP
ejpam-6884	247	15	the	the	DET
ejpam-6884	247	16	solution	solution	NOUN
ejpam-6884	247	17	for	for	ADP
ejpam-6884	247	18	the	the	DET
ejpam-6884	247	19	proposed	propose	VERB
ejpam-6884	247	20	fuzzy	fuzzy	ADJ
ejpam-6884	247	21	fractal	fractal	ADJ
ejpam-6884	247	22	-	-	PUNCT
ejpam-6884	247	23	fractional	fractional	ADJ
ejpam-6884	247	24	model	model	NOUN
ejpam-6884	247	25	under	under	ADP
ejpam-6884	247	26	the	the	DET
ejpam-6884	247	27	atangana	atangana	PROPN
ejpam-6884	247	28	–	–	PUNCT
ejpam-6884	247	29	baleanu	baleanu	ADJ
ejpam-6884	247	30	framework	framework	NOUN
ejpam-6884	247	31	.	.	PUNCT
ejpam-6884	248	1	theorem	theorem	NOUN
ejpam-6884	248	2	2	2	NUM
ejpam-6884	248	3	.	.	PUNCT
ejpam-6884	248	4	on	on	ADP
ejpam-6884	248	5	the	the	DET
ejpam-6884	248	6	premise	premise	NOUN
ejpam-6884	248	7	that	that	SCONJ
ejpam-6884	248	8	the	the	DET
ejpam-6884	248	9	conditions	condition	NOUN
ejpam-6884	248	10	(	(	PUNCT
ejpam-6884	248	11	4	4	X
ejpam-6884	248	12	)	)	PUNCT
ejpam-6884	248	13	hold	hold	NOUN
ejpam-6884	248	14	.	.	PUNCT
ejpam-6884	249	1	a	a	DET
ejpam-6884	249	2	continuous	continuous	ADJ
ejpam-6884	249	3	mapping	mapping	NOUN
ejpam-6884	249	4	ω	ω	NOUN
ejpam-6884	249	5	:	:	PUNCT
ejpam-6884	250	1	[	[	X
ejpam-6884	250	2	0,k]×i	0,k]×i	NUM
ejpam-6884	250	3	→	→	SYM
ejpam-6884	250	4	l	l	NOUN
ejpam-6884	250	5	is	be	AUX
ejpam-6884	250	6	defined	define	VERB
ejpam-6884	250	7	,	,	PUNCT
ejpam-6884	250	8	in	in	ADP
ejpam-6884	250	9	order	order	NOUN
ejpam-6884	250	10	to	to	PART
ejpam-6884	250	11	assure	assure	VERB
ejpam-6884	250	12	that	that	SCONJ
ejpam-6884	250	13	the	the	DET
ejpam-6884	250	14	postulated	postulate	VERB
ejpam-6884	250	15	model	model	NOUN
ejpam-6884	250	16	is	be	AUX
ejpam-6884	250	17	uniquely	uniquely	ADV
ejpam-6884	250	18	solvable	solvable	ADJ
ejpam-6884	250	19	.	.	PUNCT
ejpam-6884	251	1	proof	proof	NOUN
ejpam-6884	251	2	.	.	PUNCT
ejpam-6884	252	1	the	the	DET
ejpam-6884	252	2	continuity	continuity	NOUN
ejpam-6884	252	3	of	of	ADP
ejpam-6884	252	4	the	the	DET
ejpam-6884	252	5	operator	operator	NOUN
ejpam-6884	252	6	ψ	ψ	NOUN
ejpam-6884	252	7	is	be	AUX
ejpam-6884	252	8	established	establish	VERB
ejpam-6884	252	9	by	by	ADP
ejpam-6884	252	10	first	first	ADV
ejpam-6884	252	11	verifying	verify	VERB
ejpam-6884	252	12	its	its	PRON
ejpam-6884	252	13	overall	overall	ADJ
ejpam-6884	252	14	continuity	continuity	NOUN
ejpam-6884	252	15	.	.	PUNCT
ejpam-6884	253	1	given	give	VERB
ejpam-6884	253	2	that	that	SCONJ
ejpam-6884	253	3	ω	ω	PROPN
ejpam-6884	253	4	is	be	AUX
ejpam-6884	253	5	constant	constant	ADJ
ejpam-6884	253	6	,	,	PUNCT
ejpam-6884	253	7	the	the	DET
ejpam-6884	253	8	continuity	continuity	NOUN
ejpam-6884	253	9	of	of	ADP
ejpam-6884	253	10	ψ	ψ	NOUN
ejpam-6884	253	11	is	be	AUX
ejpam-6884	253	12	consequently	consequently	ADV
ejpam-6884	253	13	ensured	ensure	VERB
ejpam-6884	253	14	.	.	PUNCT
ejpam-6884	254	1	let	let	VERB
ejpam-6884	254	2	φ̃	φ̃	PROPN
ejpam-6884	254	3	=	=	PRON
ejpam-6884	254	4	{	{	PUNCT
ejpam-6884	254	5	φ̃	φ̃	PROPN
ejpam-6884	254	6	∈	∈	PROPN
ejpam-6884	254	7	i	i	NOUN
ejpam-6884	254	8	:	:	PUNCT
ejpam-6884	254	9	∥φ̃∥	∥φ̃∥	PROPN
ejpam-6884	254	10	≤	≤	PROPN
ejpam-6884	254	11	l	l	NOUN
ejpam-6884	254	12	,	,	PUNCT
ejpam-6884	254	13	l	l	NOUN
ejpam-6884	254	14	>	>	X
ejpam-6884	254	15	0	0	NUM
ejpam-6884	254	16	}	}	PUNCT
ejpam-6884	254	17	.	.	PUNCT
ejpam-6884	255	1	whenever	whenever	SCONJ
ejpam-6884	255	2	φ̃	φ̃	PROPN
ejpam-6884	255	3	∈	∈	PROPN
ejpam-6884	255	4	i	i	PRON
ejpam-6884	255	5	,	,	PUNCT
ejpam-6884	255	6	we	we	PRON
ejpam-6884	255	7	obtain	obtain	VERB
ejpam-6884	255	8	|ψ(φ̃)|	|ψ(φ̃)|	ADJ
ejpam-6884	255	9	=	=	SYM
ejpam-6884	255	10	max	max	PROPN
ejpam-6884	255	11	τ∈[0,k	τ∈[0,k	PROPN
ejpam-6884	255	12	]	]	X
ejpam-6884	255	13	∣∣∣∣φ̃(0	∣∣∣∣φ̃(0	ADV
ejpam-6884	255	14	)	)	PUNCT
ejpam-6884	255	15	+	+	CCONJ
ejpam-6884	255	16	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	255	17	η	η	PROPN
ejpam-6884	255	18	)	)	PUNCT
ejpam-6884	255	19	ab(η	ab(η	NUM
ejpam-6884	255	20	)	)	PUNCT
ejpam-6884	255	21	ω(τ	ω(τ	NOUN
ejpam-6884	255	22	,	,	PUNCT
ejpam-6884	255	23	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	255	24	)	)	PUNCT
ejpam-6884	255	25	)	)	PUNCT
ejpam-6884	256	1	+	+	CCONJ
ejpam-6884	256	2	ηϑ	ηϑ	ADP
ejpam-6884	256	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	256	4	)	)	PUNCT
ejpam-6884	257	1	×	×	NOUN
ejpam-6884	257	2	∫	∫	PROPN
ejpam-6884	257	3	τ	τ	PROPN
ejpam-6884	257	4	0	0	NUM
ejpam-6884	257	5	mϑ−1(τ	mϑ−1(τ	NOUN
ejpam-6884	257	6	−m)η−1ω(τ	−m)η−1ω(τ	PROPN
ejpam-6884	257	7	,	,	PUNCT
ejpam-6884	257	8	φ̃(τ))dm	φ̃(τ))dm	X
ejpam-6884	257	9	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6884	257	10	≤	≤	NOUN
ejpam-6884	257	11	φ̃(0	φ̃(0	ADV
ejpam-6884	257	12	)	)	PUNCT
ejpam-6884	258	1	+	+	CCONJ
ejpam-6884	258	2	ϑkϑ−1(1−	ϑkϑ−1(1−	PROPN
ejpam-6884	258	3	η	η	NOUN
ejpam-6884	258	4	)	)	PUNCT
ejpam-6884	258	5	ab(η	ab(η	NUM
ejpam-6884	258	6	)	)	PUNCT
ejpam-6884	259	1	(	(	PUNCT
ejpam-6884	259	2	cφ∥φ̃∥+gφ	cφ∥φ̃∥+gφ	PROPN
ejpam-6884	259	3	)	)	PUNCT
ejpam-6884	260	1	+	+	CCONJ
ejpam-6884	260	2	max	max	PROPN
ejpam-6884	260	3	τ∈[0,k	τ∈[0,k	PROPN
ejpam-6884	260	4	]	]	X
ejpam-6884	260	5	ηϑ	ηϑ	ADP
ejpam-6884	260	6	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	260	7	)	)	PUNCT
ejpam-6884	260	8	×	×	NOUN
ejpam-6884	260	9	∫	∫	PROPN
ejpam-6884	260	10	τ	τ	PROPN
ejpam-6884	260	11	0	0	NUM
ejpam-6884	260	12	mϑ−1(τ	mϑ−1(τ	PROPN
ejpam-6884	260	13	−m)η−1|ω(m	−m)η−1|ω(m	NOUN
ejpam-6884	260	14	,	,	PUNCT
ejpam-6884	260	15	φ̃(m))|dm	φ̃(m))|dm	X
ejpam-6884	260	16	|ψ(φ̃)|	|ψ(φ̃)|	VERB
ejpam-6884	260	17	≤	≤	NOUN
ejpam-6884	260	18	φ̃(0	φ̃(0	ADV
ejpam-6884	260	19	)	)	PUNCT
ejpam-6884	260	20	+	+	CCONJ
ejpam-6884	260	21	ϑkϑ−1(1−	ϑkϑ−1(1−	PROPN
ejpam-6884	260	22	η	η	NOUN
ejpam-6884	260	23	)	)	PUNCT
ejpam-6884	260	24	ab(η	ab(η	NUM
ejpam-6884	260	25	)	)	PUNCT
ejpam-6884	260	26	(	(	PUNCT
ejpam-6884	260	27	cφ∥φ̃∥+gφ	cφ∥φ̃∥+gφ	PROPN
ejpam-6884	260	28	)	)	PUNCT
ejpam-6884	261	1	+	+	CCONJ
ejpam-6884	261	2	ηϑ	ηϑ	ADP
ejpam-6884	261	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	261	4	)	)	PUNCT
ejpam-6884	261	5	(	(	PUNCT
ejpam-6884	261	6	cφ∥φ̃∥+gφ)×kη+ϑ−1φ̃(η	cφ∥φ̃∥+gφ)×kη+ϑ−1φ̃(η	PROPN
ejpam-6884	261	7	,	,	PUNCT
ejpam-6884	261	8	ϑ	ϑ	NOUN
ejpam-6884	261	9	)	)	PUNCT
ejpam-6884	261	10	≤	≤	PROPN
ejpam-6884	261	11	l.	l.	NOUN
ejpam-6884	261	12	(	(	PUNCT
ejpam-6884	261	13	7	7	NUM
ejpam-6884	261	14	)	)	PUNCT
ejpam-6884	261	15	thus	thus	ADV
ejpam-6884	261	16	,	,	PUNCT
ejpam-6884	261	17	if	if	SCONJ
ejpam-6884	261	18	φ̃(η	φ̃(η	PROPN
ejpam-6884	261	19	,	,	PUNCT
ejpam-6884	261	20	ϑ	ϑ	NOUN
ejpam-6884	261	21	)	)	PUNCT
ejpam-6884	261	22	represents	represent	VERB
ejpam-6884	261	23	a	a	DET
ejpam-6884	261	24	function	function	NOUN
ejpam-6884	261	25	,	,	PUNCT
ejpam-6884	261	26	the	the	DET
ejpam-6884	261	27	operator	operator	NOUN
ejpam-6884	261	28	ψ	ψ	NOUN
ejpam-6884	261	29	is	be	AUX
ejpam-6884	261	30	bound	bind	VERB
ejpam-6884	261	31	by	by	ADP
ejpam-6884	261	32	homogeneity	homogeneity	NOUN
ejpam-6884	261	33	.	.	PUNCT
ejpam-6884	262	1	since	since	SCONJ
ejpam-6884	262	2	ψ	ψ	NOUN
ejpam-6884	262	3	is	be	AUX
ejpam-6884	262	4	equi	equi	NOUN
ejpam-6884	262	5	-	-	PUNCT
ejpam-6884	262	6	continuous	continuous	ADJ
ejpam-6884	262	7	,	,	PUNCT
ejpam-6884	262	8	when	when	SCONJ
ejpam-6884	262	9	τ1	τ1	NOUN
ejpam-6884	262	10	,	,	PUNCT
ejpam-6884	262	11	τ2	τ2	PROPN
ejpam-6884	262	12	≤	≤	NOUN
ejpam-6884	262	13	k	k	PROPN
ejpam-6884	262	14	denote	denote	VERB
ejpam-6884	262	15	a	a	DET
ejpam-6884	262	16	function	function	NOUN
ejpam-6884	262	17	.	.	PUNCT
ejpam-6884	263	1	then	then	ADV
ejpam-6884	263	2	consider	consider	VERB
ejpam-6884	263	3	|ψ(φ̃)(τ2)−	|ψ(φ̃)(τ2)−	NOUN
ejpam-6884	263	4	ψ(φ̃)(τ1)|	ψ(φ̃)(τ1)|	NOUN
ejpam-6884	263	5	=	=	PUNCT
ejpam-6884	263	6	∣∣∣∣∣ϑτϑ−1	∣∣∣∣∣ϑτϑ−1	NOUN
ejpam-6884	263	7	2	2	NUM
ejpam-6884	263	8	(	(	PUNCT
ejpam-6884	263	9	1−	1−	NUM
ejpam-6884	263	10	η	η	NOUN
ejpam-6884	263	11	)	)	PUNCT
ejpam-6884	263	12	ab(η	ab(η	NUM
ejpam-6884	263	13	)	)	PUNCT
ejpam-6884	263	14	ω(τ2	ω(τ2	NOUN
ejpam-6884	263	15	,	,	PUNCT
ejpam-6884	263	16	φ̃(τ2	φ̃(τ2	NOUN
ejpam-6884	263	17	)	)	PUNCT
ejpam-6884	263	18	)	)	PUNCT
ejpam-6884	264	1	+	+	CCONJ
ejpam-6884	264	2	ηϑ	ηϑ	ADP
ejpam-6884	264	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	264	4	)	)	PUNCT
ejpam-6884	264	5	×	×	NOUN
ejpam-6884	264	6	∫	∫	PROPN
ejpam-6884	264	7	τ2	τ2	NOUN
ejpam-6884	264	8	0	0	PROPN
ejpam-6884	264	9	mϑ−1(τ2	mϑ−1(τ2	PROPN
ejpam-6884	264	10	−m)η−1ω(m	−m)η−1ω(m	PROPN
ejpam-6884	264	11	,	,	PUNCT
ejpam-6884	264	12	φ̃(m	φ̃(m	PROPN
ejpam-6884	264	13	)	)	PUNCT
ejpam-6884	264	14	)	)	PUNCT
ejpam-6884	265	1	dm	dm	VERB
ejpam-6884	265	2	−ϑτ	−ϑτ	INTJ
ejpam-6884	266	1	ϑ−1	ϑ−1	NOUN
ejpam-6884	266	2	1	1	NUM
ejpam-6884	266	3	(	(	PUNCT
ejpam-6884	266	4	1−	1−	NUM
ejpam-6884	266	5	η	η	NOUN
ejpam-6884	266	6	)	)	PUNCT
ejpam-6884	266	7	ab(η	ab(η	NUM
ejpam-6884	266	8	)	)	PUNCT
ejpam-6884	266	9	ω(t1	ω(t1	NOUN
ejpam-6884	266	10	,	,	PUNCT
ejpam-6884	266	11	φ̃(t1	φ̃(t1	NUM
ejpam-6884	266	12	)	)	PUNCT
ejpam-6884	266	13	)	)	PUNCT
ejpam-6884	267	1	+	+	CCONJ
ejpam-6884	267	2	ηϑ	ηϑ	ADP
ejpam-6884	267	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	267	4	)	)	PUNCT
ejpam-6884	267	5	×	×	NOUN
ejpam-6884	267	6	∫	∫	NOUN
ejpam-6884	267	7	τ1	τ1	NOUN
ejpam-6884	267	8	0	0	PUNCT
ejpam-6884	267	9	mϑ−1(τ1	mϑ−1(τ1	PROPN
ejpam-6884	267	10	−m)η−1ω(m	−m)η−1ω(m	PROPN
ejpam-6884	267	11	,	,	PUNCT
ejpam-6884	267	12	φ̃(m	φ̃(m	PROPN
ejpam-6884	267	13	)	)	PUNCT
ejpam-6884	267	14	)	)	PUNCT
ejpam-6884	267	15	dm	dm	VERB
ejpam-6884	267	16	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-6884	267	17	≤	≤	NOUN
ejpam-6884	268	1	ϑτϑ−1	ϑτϑ−1	PROPN
ejpam-6884	268	2	2	2	NUM
ejpam-6884	268	3	(	(	PUNCT
ejpam-6884	268	4	1−	1−	NUM
ejpam-6884	268	5	η	η	NOUN
ejpam-6884	268	6	)	)	PUNCT
ejpam-6884	268	7	ab(η	ab(η	NUM
ejpam-6884	268	8	)	)	PUNCT
ejpam-6884	268	9	(	(	PUNCT
ejpam-6884	268	10	cφ∥φ̃∥+gφ	cφ∥φ̃∥+gφ	PROPN
ejpam-6884	268	11	)	)	PUNCT
ejpam-6884	269	1	+	+	CCONJ
ejpam-6884	269	2	ηϑ	ηϑ	ADP
ejpam-6884	269	3	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	269	4	)	)	PUNCT
ejpam-6884	269	5	(	(	PUNCT
ejpam-6884	269	6	cφ∥φ̃∥+gφ)×	cφ∥φ̃∥+gφ)×	X
ejpam-6884	269	7	τη+ϑ−1	τη+ϑ−1	NOUN
ejpam-6884	269	8	2	2	NUM
ejpam-6884	269	9	φ̃(η	φ̃(η	NOUN
ejpam-6884	269	10	,	,	PUNCT
ejpam-6884	269	11	ϑ	ϑ	NOUN
ejpam-6884	269	12	)	)	PUNCT
ejpam-6884	269	13	−	−	PROPN
ejpam-6884	270	1	ϑτϑ−1	ϑτϑ−1	NOUN
ejpam-6884	270	2	1	1	NUM
ejpam-6884	270	3	(	(	PUNCT
ejpam-6884	270	4	1−	1−	NUM
ejpam-6884	270	5	η	η	NOUN
ejpam-6884	270	6	)	)	PUNCT
ejpam-6884	270	7	ab(η	ab(η	NUM
ejpam-6884	270	8	)	)	PUNCT
ejpam-6884	270	9	(	(	PUNCT
ejpam-6884	270	10	cφ∥φ̃∥+gφ	cφ∥φ̃∥+gφ	PROPN
ejpam-6884	270	11	)	)	PUNCT
ejpam-6884	271	1	+	+	CCONJ
ejpam-6884	271	2	ηϑ	ηϑ	ADP
ejpam-6884	271	3	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	271	4	)	)	PUNCT
ejpam-6884	271	5	(	(	PUNCT
ejpam-6884	271	6	cφ∥φ̃∥+gφ)×	cφ∥φ̃∥+gφ)×	X
ejpam-6884	271	7	τη+ϑ−1	τη+ϑ−1	NOUN
ejpam-6884	271	8	1	1	NUM
ejpam-6884	271	9	φ̃(η	φ̃(η	PROPN
ejpam-6884	271	10	,	,	PUNCT
ejpam-6884	271	11	ϑ	ϑ	NOUN
ejpam-6884	271	12	)	)	PUNCT
ejpam-6884	271	13	.	.	PUNCT
ejpam-6884	272	1	v.	v.	ADP
ejpam-6884	272	2	govindan	govindan	PROPN
ejpam-6884	272	3	et	et	PROPN
ejpam-6884	272	4	al	al	PROPN
ejpam-6884	272	5	.	.	PUNCT
ejpam-6884	272	6	/	/	SYM
ejpam-6884	272	7	eur	eur	PROPN
ejpam-6884	272	8	.	.	PUNCT
ejpam-6884	273	1	j.	j.	PROPN
ejpam-6884	273	2	pure	pure	PROPN
ejpam-6884	273	3	appl	appl	PROPN
ejpam-6884	273	4	.	.	PROPN
ejpam-6884	273	5	math	math	PROPN
ejpam-6884	273	6	,	,	PUNCT
ejpam-6884	273	7	18	18	NUM
ejpam-6884	273	8	(	(	PUNCT
ejpam-6884	273	9	4	4	NUM
ejpam-6884	273	10	)	)	PUNCT
ejpam-6884	273	11	(	(	PUNCT
ejpam-6884	273	12	2025	2025	NUM
ejpam-6884	273	13	)	)	PUNCT
ejpam-6884	273	14	,	,	PUNCT
ejpam-6884	273	15	6884	6884	NUM
ejpam-6884	273	16	13	13	NUM
ejpam-6884	273	17	of	of	ADP
ejpam-6884	273	18	29	29	NUM
ejpam-6884	273	19	when	when	SCONJ
ejpam-6884	273	20	τ1	τ1	NOUN
ejpam-6884	273	21	,	,	PUNCT
ejpam-6884	273	22	τ2	τ2	NOUN
ejpam-6884	273	23	then	then	ADV
ejpam-6884	273	24	|ψ(φ̃)(τ2)−	|ψ(φ̃)(τ2)−	VERB
ejpam-6884	273	25	ψ(φ̃)(τ1)|	ψ(φ̃)(τ1)|	NOUN
ejpam-6884	273	26	→	→	SYM
ejpam-6884	273	27	0	0	NUM
ejpam-6884	273	28	.	.	PUNCT
ejpam-6884	274	1	as	as	ADP
ejpam-6884	274	2	a	a	DET
ejpam-6884	274	3	result	result	NOUN
ejpam-6884	274	4	,	,	PUNCT
ejpam-6884	274	5	we	we	PRON
ejpam-6884	274	6	have	have	VERB
ejpam-6884	274	7	∥ψ(φ̃)(τ2)−	∥ψ(φ̃)(τ2)−	ADJ
ejpam-6884	274	8	ψ(φ̃)(τ1)∥	ψ(φ̃)(τ1)∥	PROPN
ejpam-6884	274	9	→	→	SYM
ejpam-6884	274	10	0	0	NUM
ejpam-6884	274	11	when	when	SCONJ
ejpam-6884	274	12	τ1	τ1	NOUN
ejpam-6884	274	13	→	→	SYM
ejpam-6884	274	14	τ2	τ2	NOUN
ejpam-6884	274	15	.	.	PUNCT
ejpam-6884	275	1	due	due	ADP
ejpam-6884	275	2	to	to	ADP
ejpam-6884	275	3	the	the	DET
ejpam-6884	275	4	fact	fact	NOUN
ejpam-6884	275	5	that	that	SCONJ
ejpam-6884	275	6	ψ	ψ	NOUN
ejpam-6884	275	7	is	be	AUX
ejpam-6884	275	8	also	also	ADV
ejpam-6884	275	9	continuous	continuous	ADJ
ejpam-6884	275	10	,	,	PUNCT
ejpam-6884	275	11	arzela	arzela	PROPN
ejpam-6884	275	12	-	-	PUNCT
ejpam-6884	275	13	ascoli	ascoli	PROPN
ejpam-6884	275	14	theory	theory	NOUN
ejpam-6884	275	15	is	be	AUX
ejpam-6884	275	16	also	also	ADV
ejpam-6884	275	17	entirely	entirely	ADV
ejpam-6884	275	18	completely	completely	ADV
ejpam-6884	275	19	continuous	continuous	ADJ
ejpam-6884	275	20	.	.	PUNCT
ejpam-6884	276	1	as	as	ADP
ejpam-6884	276	2	such	such	ADJ
ejpam-6884	276	3	,	,	PUNCT
ejpam-6884	276	4	schauder	schauder	NOUN
ejpam-6884	276	5	’s	’s	PART
ejpam-6884	276	6	fixed	fix	VERB
ejpam-6884	276	7	point	point	NOUN
ejpam-6884	276	8	theorem	theorem	NOUN
ejpam-6884	276	9	proves	prove	VERB
ejpam-6884	276	10	that	that	SCONJ
ejpam-6884	276	11	the	the	DET
ejpam-6884	276	12	suggested	suggest	VERB
ejpam-6884	276	13	model	model	NOUN
ejpam-6884	276	14	has	have	VERB
ejpam-6884	276	15	at	at	ADV
ejpam-6884	276	16	least	least	ADJ
ejpam-6884	276	17	one	one	NUM
ejpam-6884	276	18	solution	solution	NOUN
ejpam-6884	276	19	.	.	PUNCT
ejpam-6884	277	1	theorem	theorem	NOUN
ejpam-6884	277	2	3	3	X
ejpam-6884	277	3	.	.	PUNCT
ejpam-6884	278	1	if	if	SCONJ
ejpam-6884	278	2	condition	condition	NOUN
ejpam-6884	278	3	(	(	PUNCT
ejpam-6884	278	4	7	7	X
ejpam-6884	278	5	)	)	PUNCT
ejpam-6884	278	6	holds	hold	VERB
ejpam-6884	278	7	such	such	ADJ
ejpam-6884	278	8	that	that	SCONJ
ejpam-6884	278	9	ϖ	ϖ	PROPN
ejpam-6884	278	10	<	<	X
ejpam-6884	278	11	1	1	NUM
ejpam-6884	278	12	,	,	PUNCT
ejpam-6884	278	13	where	where	SCONJ
ejpam-6884	278	14	ϖ	ϖ	NOUN
ejpam-6884	278	15	=	=	SYM
ejpam-6884	278	16	(	(	PUNCT
ejpam-6884	278	17	ϑkϑ−1(1−	ϑkϑ−1(1−	PROPN
ejpam-6884	278	18	η	η	NOUN
ejpam-6884	278	19	)	)	PUNCT
ejpam-6884	278	20	ab(η	ab(η	NUM
ejpam-6884	278	21	)	)	PUNCT
ejpam-6884	279	1	+	+	CCONJ
ejpam-6884	279	2	ηϑ	ηϑ	ADP
ejpam-6884	279	3	⌈η⌉ab(η	⌈η⌉ab(η	NOUN
ejpam-6884	279	4	)	)	PUNCT
ejpam-6884	279	5	kη+ϑ−1φ̃(η	kη+ϑ−1φ̃(η	PROPN
ejpam-6884	279	6	,	,	PUNCT
ejpam-6884	279	7	ϑ	ϑ	NOUN
ejpam-6884	279	8	)	)	PUNCT
ejpam-6884	279	9	)	)	PUNCT
ejpam-6884	279	10	hφ	hφ	PROPN
ejpam-6884	279	11	,	,	PUNCT
ejpam-6884	279	12	then	then	ADV
ejpam-6884	279	13	the	the	DET
ejpam-6884	279	14	system	system	NOUN
ejpam-6884	279	15	described	describe	VERB
ejpam-6884	279	16	by	by	ADP
ejpam-6884	279	17	equation	equation	NOUN
ejpam-6884	279	18	(	(	PUNCT
ejpam-6884	279	19	3	3	X
ejpam-6884	279	20	)	)	PUNCT
ejpam-6884	279	21	admits	admit	VERB
ejpam-6884	279	22	a	a	DET
ejpam-6884	279	23	unique	unique	ADJ
ejpam-6884	279	24	solution	solution	NOUN
ejpam-6884	279	25	.	.	PUNCT
ejpam-6884	280	1	proof	proof	NOUN
ejpam-6884	280	2	.	.	PUNCT
ejpam-6884	281	1	let	let	VERB
ejpam-6884	281	2	φ̃1	φ̃1	PROPN
ejpam-6884	281	3	,	,	PUNCT
ejpam-6884	281	4	φ̃2	φ̃2	PROPN
ejpam-6884	281	5	∈	∈	PROPN
ejpam-6884	282	1	i	i	PRON
ejpam-6884	282	2	,	,	PUNCT
ejpam-6884	282	3	we	we	PRON
ejpam-6884	282	4	have	have	VERB
ejpam-6884	282	5	|ψ(φ̃1)−	|ψ(φ̃1)−	PROPN
ejpam-6884	282	6	ψ(φ̃2)|	ψ(φ̃2)|	PROPN
ejpam-6884	282	7	=	=	PROPN
ejpam-6884	282	8	max	max	PROPN
ejpam-6884	282	9	τ∈[0,k	τ∈[0,k	PROPN
ejpam-6884	282	10	]	]	PUNCT
ejpam-6884	282	11	∣∣∣∣ϑτϑ−1(1−	∣∣∣∣ϑτϑ−1(1−	PROPN
ejpam-6884	282	12	η	η	PROPN
ejpam-6884	282	13	)	)	PUNCT
ejpam-6884	282	14	ab(η	ab(η	NUM
ejpam-6884	282	15	)	)	PUNCT
ejpam-6884	283	1	[	[	PUNCT
ejpam-6884	283	2	ω(τ	ω(τ	PROPN
ejpam-6884	283	3	,	,	PUNCT
ejpam-6884	283	4	φ̃1(τ))−	φ̃1(τ))−	NOUN
ejpam-6884	283	5	ω(τ	ω(τ	PROPN
ejpam-6884	283	6	,	,	PUNCT
ejpam-6884	283	7	φ̃2(τ	φ̃2(τ	PROPN
ejpam-6884	283	8	)	)	PUNCT
ejpam-6884	283	9	)	)	PUNCT
ejpam-6884	283	10	]	]	PUNCT
ejpam-6884	284	1	+	+	CCONJ
ejpam-6884	284	2	ηϑ	ηϑ	ADP
ejpam-6884	284	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	284	4	)	)	PUNCT
ejpam-6884	285	1	×	×	NOUN
ejpam-6884	285	2	∫	∫	PROPN
ejpam-6884	285	3	τ	τ	X
ejpam-6884	285	4	0	0	NUM
ejpam-6884	285	5	mϑ−1(τ	mϑ−1(τ	NOUN
ejpam-6884	285	6	−m)η−1	−m)η−1	X
ejpam-6884	285	7	dm	dm	PROPN
ejpam-6884	285	8	[	[	PUNCT
ejpam-6884	285	9	ω(m	ω(m	NOUN
ejpam-6884	285	10	,	,	PUNCT
ejpam-6884	285	11	φ̃1(m))−	φ̃1(m))−	NUM
ejpam-6884	285	12	ω(m	ω(m	NOUN
ejpam-6884	285	13	,	,	PUNCT
ejpam-6884	285	14	φ̃2(m	φ̃2(m	NOUN
ejpam-6884	285	15	)	)	PUNCT
ejpam-6884	285	16	)	)	PUNCT
ejpam-6884	286	1	]	]	PUNCT
ejpam-6884	286	2	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6884	286	3	≤	≤	NOUN
ejpam-6884	286	4	[	[	PUNCT
ejpam-6884	286	5	ϑkϑ−1(1−	ϑkϑ−1(1−	X
ejpam-6884	286	6	η	η	NOUN
ejpam-6884	286	7	)	)	PUNCT
ejpam-6884	286	8	ab(η	ab(η	NUM
ejpam-6884	286	9	)	)	PUNCT
ejpam-6884	287	1	+	+	CCONJ
ejpam-6884	287	2	ηϑ	ηϑ	ADP
ejpam-6884	287	3	⌈η⌉ab(η	⌈η⌉ab(η	NOUN
ejpam-6884	287	4	)	)	PUNCT
ejpam-6884	287	5	kη+ϑ−1φ̃(η	kη+ϑ−1φ̃(η	PROPN
ejpam-6884	287	6	,	,	PUNCT
ejpam-6884	287	7	ϑ	ϑ	NOUN
ejpam-6884	287	8	)	)	PUNCT
ejpam-6884	287	9	]	]	PUNCT
ejpam-6884	287	10	∥φ̃1	∥φ̃1	PROPN
ejpam-6884	287	11	−	−	PROPN
ejpam-6884	287	12	φ̃2∥	φ̃2∥	VERB
ejpam-6884	287	13	≤	≤	ADJ
ejpam-6884	288	1	ϖ∥φ̃1	ϖ∥φ̃1	PROPN
ejpam-6884	288	2	−	−	PROPN
ejpam-6884	288	3	φ̃2∥.	φ̃2∥.	NOUN
ejpam-6884	288	4	as	as	ADP
ejpam-6884	288	5	a	a	DET
ejpam-6884	288	6	result	result	NOUN
ejpam-6884	288	7	,	,	PUNCT
ejpam-6884	288	8	the	the	DET
ejpam-6884	288	9	operator	operator	NOUN
ejpam-6884	288	10	ψ	ψ	NOUN
ejpam-6884	288	11	qualifies	qualifie	NOUN
ejpam-6884	288	12	as	as	ADP
ejpam-6884	288	13	a	a	DET
ejpam-6884	288	14	contraction	contraction	NOUN
ejpam-6884	288	15	,	,	PUNCT
ejpam-6884	288	16	and	and	CCONJ
ejpam-6884	288	17	the	the	DET
ejpam-6884	288	18	model	model	NOUN
ejpam-6884	288	19	guarantees	guarantee	VERB
ejpam-6884	288	20	a	a	DET
ejpam-6884	288	21	unique	unique	ADJ
ejpam-6884	288	22	solution	solution	NOUN
ejpam-6884	288	23	in	in	ADP
ejpam-6884	288	24	accordance	accordance	NOUN
ejpam-6884	288	25	with	with	ADP
ejpam-6884	288	26	the	the	DET
ejpam-6884	288	27	banach	banach	ADV
ejpam-6884	288	28	fixed	fix	VERB
ejpam-6884	288	29	-	-	PUNCT
ejpam-6884	288	30	point	point	NOUN
ejpam-6884	288	31	theorem	theorem	NOUN
ejpam-6884	288	32	.	.	PROPN
ejpam-6884	288	33	5.1	5.1	NUM
ejpam-6884	288	34	.	.	PUNCT
ejpam-6884	289	1	ulamhyers	ulamhyer	NOUN
ejpam-6884	289	2	stability	stability	NOUN
ejpam-6884	289	3	definition	definition	NOUN
ejpam-6884	289	4	13	13	NUM
ejpam-6884	289	5	.	.	PUNCT
ejpam-6884	290	1	the	the	DET
ejpam-6884	290	2	model	model	NOUN
ejpam-6884	290	3	is	be	AUX
ejpam-6884	290	4	referred	refer	VERB
ejpam-6884	290	5	to	to	ADP
ejpam-6884	290	6	as	as	SCONJ
ejpam-6884	290	7	ulam	ulam	NOUN
ejpam-6884	290	8	-	-	PUNCT
ejpam-6884	290	9	hyers	hyer	NOUN
ejpam-6884	290	10	stable	stable	ADJ
ejpam-6884	290	11	if	if	SCONJ
ejpam-6884	290	12	,	,	PUNCT
ejpam-6884	290	13	for	for	SCONJ
ejpam-6884	290	14	every	every	DET
ejpam-6884	290	15	small	small	ADJ
ejpam-6884	290	16	perturbation	perturbation	NOUN
ejpam-6884	290	17	q(τ	q(τ	NOUN
ejpam-6884	290	18	)	)	PUNCT
ejpam-6884	290	19	such	such	ADJ
ejpam-6884	290	20	that	that	SCONJ
ejpam-6884	290	21	|q(τ)|	|q(τ)|	PROPN
ejpam-6884	290	22	≤	≤	PROPN
ejpam-6884	290	23	ε	ε	PROPN
ejpam-6884	290	24	for	for	ADP
ejpam-6884	290	25	ε	ε	PROPN
ejpam-6884	290	26	>	>	X
ejpam-6884	290	27	0	0	PROPN
ejpam-6884	290	28	,	,	PUNCT
ejpam-6884	290	29	there	there	PRON
ejpam-6884	290	30	is	be	VERB
ejpam-6884	290	31	a	a	DET
ejpam-6884	290	32	unique	unique	ADJ
ejpam-6884	290	33	solution	solution	NOUN
ejpam-6884	290	34	p	p	X
ejpam-6884	290	35	(	(	PUNCT
ejpam-6884	290	36	τ	τ	X
ejpam-6884	290	37	)	)	PUNCT
ejpam-6884	290	38	such	such	ADJ
ejpam-6884	290	39	that	that	SCONJ
ejpam-6884	290	40	the	the	DET
ejpam-6884	290	41	approximate	approximate	ADJ
ejpam-6884	290	42	solution	solution	NOUN
ejpam-6884	290	43	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	290	44	)	)	PUNCT
ejpam-6884	290	45	satisfies	satisfy	VERB
ejpam-6884	290	46	the	the	DET
ejpam-6884	290	47	inequality	inequality	NOUN
ejpam-6884	290	48	|φ̃(τ)−	|φ̃(τ)−	X
ejpam-6884	291	1	p	p	X
ejpam-6884	291	2	(	(	PUNCT
ejpam-6884	291	3	τ)|	τ)|	PROPN
ejpam-6884	291	4	≤	≤	PROPN
ejpam-6884	291	5	ψη,ϑε	ψη,ϑε	ADV
ejpam-6884	291	6	,	,	PUNCT
ejpam-6884	291	7	for	for	ADP
ejpam-6884	291	8	every	every	DET
ejpam-6884	291	9	τ	τ	PROPN
ejpam-6884	291	10	∈	∈	PROPN
ejpam-6884	292	1	[	[	X
ejpam-6884	292	2	0,k	0,k	NUM
ejpam-6884	292	3	]	]	X
ejpam-6884	292	4	.	.	PUNCT
ejpam-6884	293	1	where	where	SCONJ
ejpam-6884	293	2	ψη,ϑ	ψη,ϑ	PUNCT
ejpam-6884	293	3	is	be	AUX
ejpam-6884	293	4	a	a	DET
ejpam-6884	293	5	constant	constant	ADJ
ejpam-6884	293	6	that	that	SCONJ
ejpam-6884	293	7	dependent	dependent	ADJ
ejpam-6884	293	8	on	on	ADP
ejpam-6884	293	9	the	the	DET
ejpam-6884	293	10	parameters	parameter	NOUN
ejpam-6884	293	11	of	of	ADP
ejpam-6884	293	12	the	the	DET
ejpam-6884	293	13	proposed	propose	VERB
ejpam-6884	293	14	model	model	NOUN
ejpam-6884	293	15	.	.	PUNCT
ejpam-6884	294	1	now	now	ADV
ejpam-6884	294	2	,	,	PUNCT
ejpam-6884	294	3	consider	consider	VERB
ejpam-6884	294	4	the	the	DET
ejpam-6884	294	5	fractional	fractional	ADJ
ejpam-6884	294	6	-	-	PUNCT
ejpam-6884	294	7	order	order	NOUN
ejpam-6884	294	8	dynamical	dynamical	ADJ
ejpam-6884	294	9	system	system	NOUN
ejpam-6884	294	10	governed	govern	VERB
ejpam-6884	294	11	by	by	ADP
ejpam-6884	294	12	(	(	PUNCT
ejpam-6884	294	13	ffm	ffm	NOUN
ejpam-6884	294	14	0	0	NUM
ejpam-6884	294	15	)	)	PUNCT
ejpam-6884	294	16	d(η,ϑ	d(η,ϑ	NUM
ejpam-6884	294	17	)	)	PUNCT
ejpam-6884	294	18	τ	τ	PROPN
ejpam-6884	294	19	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	294	20	)	)	PUNCT
ejpam-6884	294	21	=	=	PUNCT
ejpam-6884	295	1	ω(τ	ω(τ	NOUN
ejpam-6884	295	2	,	,	PUNCT
ejpam-6884	295	3	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	295	4	)	)	PUNCT
ejpam-6884	295	5	)	)	PUNCT
ejpam-6884	296	1	+	+	VERB
ejpam-6884	296	2	q(τ	q(τ	NOUN
ejpam-6884	296	3	)	)	PUNCT
ejpam-6884	296	4	with	with	ADP
ejpam-6884	296	5	initial	initial	ADJ
ejpam-6884	296	6	condition	condition	NOUN
ejpam-6884	296	7	φ̃(0	φ̃(0	NOUN
ejpam-6884	296	8	)	)	PUNCT
ejpam-6884	296	9	=	=	SYM
ejpam-6884	297	1	φ̃0	φ̃0	PROPN
ejpam-6884	297	2	.	.	PUNCT
ejpam-6884	298	1	lemma	lemma	PROPN
ejpam-6884	298	2	1	1	X
ejpam-6884	298	3	.	.	PUNCT
ejpam-6884	298	4	suppose	suppose	VERB
ejpam-6884	298	5	p	p	X
ejpam-6884	298	6	(	(	PUNCT
ejpam-6884	298	7	τ	τ	X
ejpam-6884	298	8	)	)	PUNCT
ejpam-6884	298	9	is	be	AUX
ejpam-6884	298	10	the	the	DET
ejpam-6884	298	11	precise	precise	ADJ
ejpam-6884	298	12	solution	solution	NOUN
ejpam-6884	298	13	to	to	ADP
ejpam-6884	298	14	the	the	DET
ejpam-6884	298	15	unperturbed	unperturbed	ADJ
ejpam-6884	298	16	problem	problem	NOUN
ejpam-6884	298	17	,	,	PUNCT
ejpam-6884	298	18	and	and	CCONJ
ejpam-6884	298	19	be	be	AUX
ejpam-6884	298	20	the	the	DET
ejpam-6884	298	21	solution	solution	NOUN
ejpam-6884	298	22	of	of	ADP
ejpam-6884	298	23	the	the	DET
ejpam-6884	298	24	perturbed	perturb	VERB
ejpam-6884	298	25	problem	problem	NOUN
ejpam-6884	298	26	.	.	PUNCT
ejpam-6884	299	1	provided	provide	VERB
ejpam-6884	299	2	|q(τ)|	|q(τ)|	PROPN
ejpam-6884	299	3	≤	≤	NUM
ejpam-6884	299	4	ε	ε	PROPN
ejpam-6884	299	5	,	,	PUNCT
ejpam-6884	299	6	then	then	ADV
ejpam-6884	299	7	|φ̃(τ)−	|φ̃(τ)−	PUNCT
ejpam-6884	300	1	p	p	X
ejpam-6884	300	2	(	(	PUNCT
ejpam-6884	300	3	τ)|	τ)|	NOUN
ejpam-6884	300	4	≤	≤	PUNCT
ejpam-6884	300	5	αη,ϑε+ϖ|φ̃(τ)−	αη,ϑε+ϖ|φ̃(τ)−	NOUN
ejpam-6884	300	6	p	p	NOUN
ejpam-6884	300	7	(	(	PUNCT
ejpam-6884	300	8	τ)|	τ)|	PROPN
ejpam-6884	300	9	.	.	PUNCT
ejpam-6884	301	1	v.	v.	ADP
ejpam-6884	301	2	govindan	govindan	PROPN
ejpam-6884	301	3	et	et	PROPN
ejpam-6884	301	4	al	al	PROPN
ejpam-6884	301	5	.	.	PUNCT
ejpam-6884	301	6	/	/	SYM
ejpam-6884	301	7	eur	eur	PROPN
ejpam-6884	301	8	.	.	PUNCT
ejpam-6884	302	1	j.	j.	PROPN
ejpam-6884	302	2	pure	pure	PROPN
ejpam-6884	302	3	appl	appl	PROPN
ejpam-6884	302	4	.	.	PROPN
ejpam-6884	302	5	math	math	PROPN
ejpam-6884	302	6	,	,	PUNCT
ejpam-6884	302	7	18	18	NUM
ejpam-6884	302	8	(	(	PUNCT
ejpam-6884	302	9	4	4	NUM
ejpam-6884	302	10	)	)	PUNCT
ejpam-6884	302	11	(	(	PUNCT
ejpam-6884	302	12	2025	2025	NUM
ejpam-6884	302	13	)	)	PUNCT
ejpam-6884	302	14	,	,	PUNCT
ejpam-6884	302	15	6884	6884	NUM
ejpam-6884	302	16	14	14	NUM
ejpam-6884	302	17	of	of	ADP
ejpam-6884	302	18	29	29	NUM
ejpam-6884	302	19	proof	proof	NOUN
ejpam-6884	302	20	.	.	PUNCT
ejpam-6884	303	1	this	this	PRON
ejpam-6884	303	2	is	be	AUX
ejpam-6884	303	3	a	a	DET
ejpam-6884	303	4	very	very	ADV
ejpam-6884	303	5	simple	simple	ADJ
ejpam-6884	303	6	illustration	illustration	NOUN
ejpam-6884	303	7	.	.	PUNCT
ejpam-6884	304	1	it	it	PRON
ejpam-6884	304	2	can	can	AUX
ejpam-6884	304	3	be	be	AUX
ejpam-6884	304	4	explained	explain	VERB
ejpam-6884	304	5	by	by	ADP
ejpam-6884	304	6	considering	consider	VERB
ejpam-6884	304	7	(	(	PUNCT
ejpam-6884	304	8	6	6	NUM
ejpam-6884	304	9	)	)	PUNCT
ejpam-6884	304	10	.	.	PUNCT
ejpam-6884	305	1	(	(	PUNCT
ejpam-6884	305	2	ffm	ffm	NOUN
ejpam-6884	305	3	0	0	NUM
ejpam-6884	305	4	)	)	PUNCT
ejpam-6884	305	5	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	305	6	)	)	PUNCT
ejpam-6884	305	7	τ	τ	PROPN
ejpam-6884	305	8	(	(	PUNCT
ejpam-6884	305	9	φ̃(τ)−	φ̃(τ)−	PROPN
ejpam-6884	305	10	p	p	X
ejpam-6884	305	11	(	(	PUNCT
ejpam-6884	305	12	τ	τ	PROPN
ejpam-6884	305	13	)	)	PUNCT
ejpam-6884	305	14	)	)	PUNCT
ejpam-6884	306	1	=	=	SYM
ejpam-6884	306	2	ω(τ	ω(τ	NOUN
ejpam-6884	306	3	,	,	PUNCT
ejpam-6884	306	4	φ̃(τ	φ̃(τ	NOUN
ejpam-6884	306	5	)	)	PUNCT
ejpam-6884	306	6	)	)	PUNCT
ejpam-6884	307	1	+	+	ADP
ejpam-6884	307	2	q(τ)−	q(τ)−	ADJ
ejpam-6884	307	3	p	p	X
ejpam-6884	307	4	(	(	PUNCT
ejpam-6884	307	5	τ	τ	PROPN
ejpam-6884	307	6	)	)	PUNCT
ejpam-6884	307	7	.	.	PUNCT
ejpam-6884	308	1	applying	apply	VERB
ejpam-6884	308	2	the	the	DET
ejpam-6884	308	3	lipschitz	lipschitz	NOUN
ejpam-6884	308	4	condition	condition	NOUN
ejpam-6884	308	5	to	to	ADP
ejpam-6884	308	6	ω	ω	NUM
ejpam-6884	308	7	:	:	PUNCT
ejpam-6884	308	8	|(ffm	|(ffm	NUM
ejpam-6884	308	9	0	0	NUM
ejpam-6884	308	10	)	)	PUNCT
ejpam-6884	308	11	d(η,ϑ	d(η,ϑ	NOUN
ejpam-6884	308	12	)	)	PUNCT
ejpam-6884	309	1	τ	τ	PROPN
ejpam-6884	309	2	(	(	PUNCT
ejpam-6884	309	3	φ̃(τ)−	φ̃(τ)−	PROPN
ejpam-6884	309	4	p	p	X
ejpam-6884	309	5	(	(	PUNCT
ejpam-6884	309	6	τ))|	τ))|	PROPN
ejpam-6884	309	7	≤	≤	PROPN
ejpam-6884	310	1	l|φ̃(τ)−	l|φ̃(τ)−	PROPN
ejpam-6884	310	2	p	p	X
ejpam-6884	310	3	(	(	PUNCT
ejpam-6884	310	4	τ)|+	τ)|+	NOUN
ejpam-6884	310	5	|q(τ)|	|q(τ)|	PROPN
ejpam-6884	310	6	.	.	PUNCT
ejpam-6884	310	7	where	where	SCONJ
ejpam-6884	310	8	l	l	NOUN
ejpam-6884	310	9	stands	stand	VERB
ejpam-6884	310	10	for	for	ADP
ejpam-6884	310	11	lipschitz	lipschitz	VERB
ejpam-6884	310	12	the	the	DET
ejpam-6884	310	13	terms	term	NOUN
ejpam-6884	310	14	.	.	PUNCT
ejpam-6884	311	1	expanding	expand	VERB
ejpam-6884	311	2	the	the	DET
ejpam-6884	311	3	fractional	fractional	ADJ
ejpam-6884	311	4	derivative	derivative	ADJ
ejpam-6884	311	5	yields	yield	NOUN
ejpam-6884	311	6	|φ̃(τ)−	|φ̃(τ)−	X
ejpam-6884	312	1	p	p	X
ejpam-6884	312	2	(	(	PUNCT
ejpam-6884	312	3	τ)|	τ)|	PROPN
ejpam-6884	312	4	=	=	SYM
ejpam-6884	312	5	∣∣∣∣φ̃(τ)−	∣∣∣∣φ̃(τ)−	PROPN
ejpam-6884	312	6	(	(	PUNCT
ejpam-6884	312	7	p	p	X
ejpam-6884	312	8	(	(	PUNCT
ejpam-6884	312	9	0	0	NUM
ejpam-6884	312	10	)	)	PUNCT
ejpam-6884	312	11	+	+	CCONJ
ejpam-6884	312	12	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	312	13	η	η	PROPN
ejpam-6884	312	14	)	)	PUNCT
ejpam-6884	312	15	ab(η	ab(η	NUM
ejpam-6884	312	16	)	)	PUNCT
ejpam-6884	313	1	ω(τ	ω(τ	NOUN
ejpam-6884	313	2	,	,	PUNCT
ejpam-6884	313	3	p	p	X
ejpam-6884	313	4	(	(	PUNCT
ejpam-6884	313	5	τ	τ	PROPN
ejpam-6884	313	6	)	)	PUNCT
ejpam-6884	313	7	)	)	PUNCT
ejpam-6884	314	1	+	+	CCONJ
ejpam-6884	314	2	ηϑ	ηϑ	ADP
ejpam-6884	314	3	⌈η⌉ab(η	⌈η⌉ab(η	NUM
ejpam-6884	314	4	)	)	PUNCT
ejpam-6884	315	1	×	×	NOUN
ejpam-6884	315	2	∫	∫	PROPN
ejpam-6884	315	3	τ	τ	X
ejpam-6884	315	4	0	0	NUM
ejpam-6884	315	5	mϑ−1(τ	mϑ−1(τ	NOUN
ejpam-6884	315	6	−m)η−1ω(m	−m)η−1ω(m	PROPN
ejpam-6884	315	7	,	,	PUNCT
ejpam-6884	315	8	p	p	X
ejpam-6884	315	9	(	(	PUNCT
ejpam-6884	315	10	m	m	NOUN
ejpam-6884	315	11	)	)	PUNCT
ejpam-6884	315	12	)	)	PUNCT
ejpam-6884	316	1	dm	dm	X
ejpam-6884	316	2	)	)	PUNCT
ejpam-6884	316	3	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6884	316	4	≤	≤	PROPN
ejpam-6884	316	5	ϑkϑ−1(1−	ϑkϑ−1(1−	PROPN
ejpam-6884	316	6	η	η	NOUN
ejpam-6884	316	7	)	)	PUNCT
ejpam-6884	316	8	ab(η	ab(η	NUM
ejpam-6884	316	9	)	)	PUNCT
ejpam-6884	317	1	+	+	CCONJ
ejpam-6884	317	2	ηϑ	ηϑ	ADP
ejpam-6884	317	3	⌈η⌉ab(η	⌈η⌉ab(η	NOUN
ejpam-6884	317	4	)	)	PUNCT
ejpam-6884	317	5	kη+ϑ−1φ̃(η	kη+ϑ−1φ̃(η	PROPN
ejpam-6884	317	6	,	,	PUNCT
ejpam-6884	317	7	ϑ	ϑ	X
ejpam-6884	317	8	)	)	PUNCT
ejpam-6884	317	9	+	+	ADJ
ejpam-6884	317	10	ϖ|φ̃(τ)−	ϖ|φ̃(τ)−	ADJ
ejpam-6884	317	11	p	p	X
ejpam-6884	317	12	(	(	PUNCT
ejpam-6884	317	13	τ)|	τ)|	PROPN
ejpam-6884	317	14	.	.	PUNCT
ejpam-6884	318	1	satisfies	satisfy	VERB
ejpam-6884	318	2	the	the	DET
ejpam-6884	318	3	required	require	VERB
ejpam-6884	318	4	criterion	criterion	NOUN
ejpam-6884	318	5	|φ̃(τ)−	|φ̃(τ)−	PUNCT
ejpam-6884	319	1	p	p	X
ejpam-6884	319	2	(	(	PUNCT
ejpam-6884	319	3	τ)|	τ)|	NOUN
ejpam-6884	319	4	≤	≤	PUNCT
ejpam-6884	319	5	αη,ϑε+ϖ|φ̃(τ)−	αη,ϑε+ϖ|φ̃(τ)−	NOUN
ejpam-6884	319	6	p	p	NOUN
ejpam-6884	319	7	(	(	PUNCT
ejpam-6884	319	8	τ)|	τ)|	PROPN
ejpam-6884	319	9	,	,	PUNCT
ejpam-6884	319	10	where	where	SCONJ
ejpam-6884	319	11	αη,ϑε	αη,ϑε	ADJ
ejpam-6884	319	12	=	=	SYM
ejpam-6884	319	13	ϑkϑ−1(1−η	ϑkϑ−1(1−η	NOUN
ejpam-6884	319	14	)	)	PUNCT
ejpam-6884	319	15	ab(η	ab(η	NUM
ejpam-6884	319	16	)	)	PUNCT
ejpam-6884	320	1	+	+	CCONJ
ejpam-6884	320	2	ηϑ	ηϑ	ADP
ejpam-6884	320	3	⌈η⌉ab(η)k	⌈η⌉ab(η)k	NUM
ejpam-6884	320	4	η+ϑ−1φ̃(η	η+ϑ−1φ̃(η	NOUN
ejpam-6884	320	5	,	,	PUNCT
ejpam-6884	320	6	ϑ	ϑ	NOUN
ejpam-6884	320	7	)	)	PUNCT
ejpam-6884	320	8	.	.	PUNCT
ejpam-6884	321	1	consequently	consequently	ADV
ejpam-6884	321	2	,	,	PUNCT
ejpam-6884	321	3	the	the	DET
ejpam-6884	321	4	proof	proof	NOUN
ejpam-6884	321	5	has	have	AUX
ejpam-6884	321	6	been	be	AUX
ejpam-6884	321	7	validated	validate	VERB
ejpam-6884	321	8	.	.	PUNCT
ejpam-6884	322	1	lemma	lemma	PROPN
ejpam-6884	322	2	2	2	NUM
ejpam-6884	322	3	.	.	PUNCT
ejpam-6884	323	1	if	if	SCONJ
ejpam-6884	323	2	ϖ	ϖ	PRON
ejpam-6884	323	3	<	<	X
ejpam-6884	323	4	1	1	NUM
ejpam-6884	323	5	,	,	PUNCT
ejpam-6884	323	6	the	the	DET
ejpam-6884	323	7	suggested	suggest	VERB
ejpam-6884	323	8	model	model	NOUN
ejpam-6884	323	9	’s	’s	PART
ejpam-6884	323	10	ulam	ulam	PROPN
ejpam-6884	323	11	-	-	PUNCT
ejpam-6884	323	12	hyers	hyer	NOUN
ejpam-6884	323	13	stable	stable	ADJ
ejpam-6884	323	14	result	result	NOUN
ejpam-6884	323	15	engages	engage	VERB
ejpam-6884	323	16	with	with	ADP
ejpam-6884	323	17	lemma	lemma	PROPN
ejpam-6884	323	18	1	1	NUM
ejpam-6884	323	19	.	.	PUNCT
ejpam-6884	324	1	the	the	DET
ejpam-6884	324	2	ulam	ulam	PROPN
ejpam-6884	324	3	-	-	PUNCT
ejpam-6884	324	4	hyers	hyer	NOUN
ejpam-6884	324	5	stability	stability	NOUN
ejpam-6884	324	6	for	for	ADP
ejpam-6884	324	7	the	the	DET
ejpam-6884	324	8	fractional	fractional	ADJ
ejpam-6884	324	9	-	-	PUNCT
ejpam-6884	324	10	order	order	NOUN
ejpam-6884	324	11	system	system	NOUN
ejpam-6884	324	12	holds	hold	VERB
ejpam-6884	324	13	if	if	SCONJ
ejpam-6884	324	14	ϖ	ϖ	PRON
ejpam-6884	324	15	<	<	X
ejpam-6884	324	16	1	1	NUM
ejpam-6884	324	17	.	.	PUNCT
ejpam-6884	325	1	under	under	ADP
ejpam-6884	325	2	this	this	DET
ejpam-6884	325	3	condition	condition	NOUN
ejpam-6884	325	4	,	,	PUNCT
ejpam-6884	325	5	the	the	DET
ejpam-6884	325	6	perturbed	perturb	VERB
ejpam-6884	325	7	solution	solution	NOUN
ejpam-6884	325	8	υ(τ	υ(τ	NOUN
ejpam-6884	325	9	)	)	PUNCT
ejpam-6884	325	10	holds	hold	VERB
ejpam-6884	325	11	the	the	DET
ejpam-6884	325	12	following	following	NOUN
ejpam-6884	325	13	:	:	PUNCT
ejpam-6884	325	14	|φ̃(τ)−	|φ̃(τ)−	PUNCT
ejpam-6884	326	1	p	p	X
ejpam-6884	326	2	(	(	PUNCT
ejpam-6884	326	3	τ)|	τ)|	PROPN
ejpam-6884	326	4	≤	≤	NUM
ejpam-6884	326	5	αη,ϑ	αη,ϑ	X
ejpam-6884	326	6	1−ϖ	1−ϖ	NUM
ejpam-6884	326	7	.	.	PUNCT
ejpam-6884	327	1	proof	proof	NOUN
ejpam-6884	327	2	.	.	PUNCT
ejpam-6884	328	1	from	from	ADP
ejpam-6884	328	2	lemma	lemma	PROPN
ejpam-6884	328	3	1	1	NUM
ejpam-6884	328	4	,	,	PUNCT
ejpam-6884	328	5	|φ̃(τ)−p	|φ̃(τ)−p	NUM
ejpam-6884	328	6	(	(	PUNCT
ejpam-6884	328	7	τ)|	τ)|	ADV
ejpam-6884	328	8	≤	≤	NUM
ejpam-6884	328	9	αη,ϑε+ϖ|φ̃(τ)−p	αη,ϑε+ϖ|φ̃(τ)−p	NUM
ejpam-6884	328	10	(	(	PUNCT
ejpam-6884	328	11	τ)|	τ)|	NOUN
ejpam-6884	328	12	.	.	PUNCT
ejpam-6884	329	1	another	another	DET
ejpam-6884	329	2	representation	representation	NOUN
ejpam-6884	329	3	of	of	ADP
ejpam-6884	329	4	the	the	DET
ejpam-6884	329	5	above	above	ADJ
ejpam-6884	329	6	relation	relation	NOUN
ejpam-6884	329	7	is	be	AUX
ejpam-6884	329	8	in	in	ADP
ejpam-6884	329	9	the	the	DET
ejpam-6884	329	10	form	form	NOUN
ejpam-6884	329	11	|φ̃(τ)−	|φ̃(τ)−	X
ejpam-6884	329	12	p	p	X
ejpam-6884	329	13	(	(	PUNCT
ejpam-6884	329	14	τ)|	τ)|	PROPN
ejpam-6884	329	15	≤	≤	PROPN
ejpam-6884	329	16	ψη,ϑε	ψη,ϑε	ADV
ejpam-6884	329	17	,	,	PUNCT
ejpam-6884	329	18	where	where	SCONJ
ejpam-6884	329	19	ψη,ϑ	ψη,ϑ	PUNCT
ejpam-6884	329	20	=	=	SYM
ejpam-6884	329	21	αη,ϑ	αη,ϑ	X
ejpam-6884	329	22	1−ϖ	1−ϖ	NUM
ejpam-6884	329	23	.	.	PUNCT
ejpam-6884	330	1	the	the	DET
ejpam-6884	330	2	system	system	NOUN
ejpam-6884	330	3	is	be	AUX
ejpam-6884	330	4	shown	show	VERB
ejpam-6884	330	5	to	to	PART
ejpam-6884	330	6	be	be	AUX
ejpam-6884	330	7	ulam	ulam	NOUN
ejpam-6884	330	8	-	-	PUNCT
ejpam-6884	330	9	hyers	hyer	NOUN
ejpam-6884	330	10	stable	stable	ADJ
ejpam-6884	330	11	using	use	VERB
ejpam-6884	330	12	the	the	DET
ejpam-6884	330	13	lemmas	lemmas	PROPN
ejpam-6884	330	14	hereinabove	hereinabove	NOUN
ejpam-6884	330	15	.	.	PUNCT
ejpam-6884	331	1	the	the	DET
ejpam-6884	331	2	outcome	outcome	NOUN
ejpam-6884	331	3	guarantees	guarantee	VERB
ejpam-6884	331	4	that	that	SCONJ
ejpam-6884	331	5	any	any	DET
ejpam-6884	331	6	perturbation	perturbation	NOUN
ejpam-6884	331	7	q(τ	q(τ	NOUN
ejpam-6884	331	8	)	)	PUNCT
ejpam-6884	331	9	produces	produce	VERB
ejpam-6884	331	10	bounded	bound	VERB
ejpam-6884	331	11	errors	error	NOUN
ejpam-6884	331	12	in	in	ADP
ejpam-6884	331	13	the	the	DET
ejpam-6884	331	14	solution	solution	NOUN
ejpam-6884	331	15	without	without	ADP
ejpam-6884	331	16	affecting	affect	VERB
ejpam-6884	331	17	system	system	NOUN
ejpam-6884	331	18	stability	stability	NOUN
ejpam-6884	331	19	.	.	PUNCT
ejpam-6884	332	1	v.	v.	ADP
ejpam-6884	332	2	govindan	govindan	PROPN
ejpam-6884	332	3	et	et	PROPN
ejpam-6884	332	4	al	al	PROPN
ejpam-6884	332	5	.	.	PUNCT
ejpam-6884	332	6	/	/	SYM
ejpam-6884	332	7	eur	eur	PROPN
ejpam-6884	332	8	.	.	PUNCT
ejpam-6884	333	1	j.	j.	PROPN
ejpam-6884	333	2	pure	pure	PROPN
ejpam-6884	333	3	appl	appl	PROPN
ejpam-6884	333	4	.	.	PROPN
ejpam-6884	333	5	math	math	PROPN
ejpam-6884	333	6	,	,	PUNCT
ejpam-6884	333	7	18	18	NUM
ejpam-6884	333	8	(	(	PUNCT
ejpam-6884	333	9	4	4	NUM
ejpam-6884	333	10	)	)	PUNCT
ejpam-6884	333	11	(	(	PUNCT
ejpam-6884	333	12	2025	2025	NUM
ejpam-6884	333	13	)	)	PUNCT
ejpam-6884	333	14	,	,	PUNCT
ejpam-6884	333	15	6884	6884	NUM
ejpam-6884	333	16	15	15	NUM
ejpam-6884	333	17	of	of	ADP
ejpam-6884	333	18	29	29	NUM
ejpam-6884	333	19	6	6	NUM
ejpam-6884	333	20	.	.	PUNCT
ejpam-6884	333	21	numerical	numerical	ADJ
ejpam-6884	333	22	structure	structure	NOUN
ejpam-6884	333	23	by	by	ADP
ejpam-6884	333	24	fractal	fractal	ADJ
ejpam-6884	333	25	–	–	PUNCT
ejpam-6884	333	26	fractional	fractional	ADJ
ejpam-6884	333	27	representation	representation	NOUN
ejpam-6884	333	28	the	the	DET
ejpam-6884	333	29	numerical	numerical	ADJ
ejpam-6884	333	30	scheme	scheme	NOUN
ejpam-6884	333	31	is	be	AUX
ejpam-6884	333	32	constructed	construct	VERB
ejpam-6884	333	33	at	at	ADP
ejpam-6884	333	34	the	the	DET
ejpam-6884	333	35	point	point	NOUN
ejpam-6884	333	36	τ	τ	X
ejpam-6884	333	37	=	=	SYM
ejpam-6884	333	38	τd+1	τd+1	PROPN
ejpam-6884	333	39	,	,	PUNCT
ejpam-6884	333	40	permitting	permit	VERB
ejpam-6884	333	41	an	an	DET
ejpam-6884	333	42	approximate	approximate	ADJ
ejpam-6884	333	43	solution	solution	NOUN
ejpam-6884	333	44	of	of	ADP
ejpam-6884	333	45	system	system	NOUN
ejpam-6884	333	46	(	(	PUNCT
ejpam-6884	333	47	3	3	NUM
ejpam-6884	333	48	)	)	PUNCT
ejpam-6884	333	49	in	in	ADP
ejpam-6884	333	50	terms	term	NOUN
ejpam-6884	333	51	of	of	ADP
ejpam-6884	333	52	atangana	atangana	PROPN
ejpam-6884	333	53	–	–	PUNCT
ejpam-6884	333	54	baleanu	baleanu	ADJ
ejpam-6884	333	55	fractal	fractal	ADJ
ejpam-6884	333	56	–	–	PUNCT
ejpam-6884	333	57	fractional	fractional	ADJ
ejpam-6884	333	58	techniques	technique	NOUN
ejpam-6884	333	59	in	in	ADP
ejpam-6884	333	60	the	the	DET
ejpam-6884	333	61	caputo	caputo	PROPN
ejpam-6884	333	62	sense	sense	NOUN
ejpam-6884	333	63	[	[	X
ejpam-6884	333	64	59	59	NUM
ejpam-6884	333	65	]	]	PUNCT
ejpam-6884	333	66	.	.	PUNCT
ejpam-6884	334	1	sd+1	sd+1	NUM
ejpam-6884	334	2	h	h	NOUN
ejpam-6884	334	3	=	=	SYM
ejpam-6884	334	4	s̃h(0	s̃h(0	PROPN
ejpam-6884	334	5	,	,	PUNCT
ejpam-6884	334	6	γ	γ	NOUN
ejpam-6884	334	7	)	)	PUNCT
ejpam-6884	334	8	+	+	CCONJ
ejpam-6884	334	9	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	334	10	η	η	PROPN
ejpam-6884	334	11	)	)	PUNCT
ejpam-6884	334	12	ab(η	ab(η	NUM
ejpam-6884	334	13	)	)	PUNCT
ejpam-6884	334	14	κ1(τd	κ1(τd	PROPN
ejpam-6884	334	15	,	,	PUNCT
ejpam-6884	334	16	s	s	PART
ejpam-6884	334	17	d	d	NOUN
ejpam-6884	334	18	h	h	NOUN
ejpam-6884	334	19	,	,	PUNCT
ejpam-6884	335	1	i	i	PRON
ejpam-6884	335	2	d	d	NOUN
ejpam-6884	335	3	h	h	NOUN
ejpam-6884	335	4	,	,	PUNCT
ejpam-6884	335	5	t	t	PROPN
ejpam-6884	335	6	d	d	NOUN
ejpam-6884	335	7	h	h	NOUN
ejpam-6884	335	8	,	,	PUNCT
ejpam-6884	335	9	r	r	NOUN
ejpam-6884	335	10	d	d	PROPN
ejpam-6884	335	11	h	h	NOUN
ejpam-6884	335	12	,	,	PUNCT
ejpam-6884	335	13	p	p	PROPN
ejpam-6884	335	14	d	d	X
ejpam-6884	335	15	h	h	NOUN
ejpam-6884	335	16	,	,	PUNCT
ejpam-6884	335	17	s	s	PROPN
ejpam-6884	335	18	d	d	X
ejpam-6884	335	19	a	a	PROPN
ejpam-6884	335	20	,	,	PUNCT
ejpam-6884	335	21	i	i	PROPN
ejpam-6884	336	1	d	d	X
ejpam-6884	336	2	a	a	X
ejpam-6884	336	3	,	,	PUNCT
ejpam-6884	336	4	r	r	NOUN
ejpam-6884	336	5	d	d	NOUN
ejpam-6884	336	6	a	a	NOUN
ejpam-6884	336	7	)	)	PUNCT
ejpam-6884	336	8	+	+	CCONJ
ejpam-6884	336	9	ηϑ	ηϑ	ADP
ejpam-6884	336	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	336	11	)	)	PUNCT
ejpam-6884	336	12	∫	∫	PROPN
ejpam-6884	337	1	τ	τ	PROPN
ejpam-6884	337	2	0	0	X
ejpam-6884	338	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	338	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	338	3	×	×	PROPN
ejpam-6884	338	4	κ1(τ	κ1(τ	PROPN
ejpam-6884	338	5	,	,	PUNCT
ejpam-6884	338	6	sh	sh	INTJ
ejpam-6884	338	7	,	,	PUNCT
ejpam-6884	338	8	ih	ih	X
ejpam-6884	338	9	,	,	PUNCT
ejpam-6884	338	10	th	th	INTJ
ejpam-6884	338	11	,	,	PUNCT
ejpam-6884	338	12	rh	rh	PROPN
ejpam-6884	338	13	,	,	PUNCT
ejpam-6884	338	14	ph	ph	PROPN
ejpam-6884	338	15	,	,	PUNCT
ejpam-6884	338	16	sa	sa	PROPN
ejpam-6884	338	17	,	,	PUNCT
ejpam-6884	338	18	ia	ia	PROPN
ejpam-6884	338	19	,	,	PUNCT
ejpam-6884	338	20	ra)ds	ra)ds	X
ejpam-6884	338	21	id+1	id+1	NUM
ejpam-6884	338	22	h	h	NOUN
ejpam-6884	338	23	=	=	SYM
ejpam-6884	338	24	ĩh(0	ĩh(0	PROPN
ejpam-6884	338	25	,	,	PUNCT
ejpam-6884	338	26	γ	γ	NOUN
ejpam-6884	338	27	)	)	PUNCT
ejpam-6884	338	28	+	+	CCONJ
ejpam-6884	338	29	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	338	30	η	η	PROPN
ejpam-6884	338	31	)	)	PUNCT
ejpam-6884	338	32	ab(η	ab(η	NUM
ejpam-6884	338	33	)	)	PUNCT
ejpam-6884	338	34	κ2(τd	κ2(τd	PROPN
ejpam-6884	338	35	,	,	PUNCT
ejpam-6884	338	36	s	s	PART
ejpam-6884	338	37	d	d	NOUN
ejpam-6884	338	38	h	h	NOUN
ejpam-6884	338	39	,	,	PUNCT
ejpam-6884	339	1	i	i	PRON
ejpam-6884	339	2	d	d	NOUN
ejpam-6884	339	3	h	h	NOUN
ejpam-6884	339	4	,	,	PUNCT
ejpam-6884	339	5	t	t	PROPN
ejpam-6884	339	6	d	d	NOUN
ejpam-6884	339	7	h	h	NOUN
ejpam-6884	339	8	,	,	PUNCT
ejpam-6884	339	9	r	r	NOUN
ejpam-6884	339	10	d	d	PROPN
ejpam-6884	339	11	h	h	NOUN
ejpam-6884	339	12	,	,	PUNCT
ejpam-6884	339	13	p	p	PROPN
ejpam-6884	339	14	d	d	X
ejpam-6884	339	15	h	h	NOUN
ejpam-6884	339	16	,	,	PUNCT
ejpam-6884	339	17	s	s	PROPN
ejpam-6884	339	18	d	d	X
ejpam-6884	339	19	a	a	PROPN
ejpam-6884	339	20	,	,	PUNCT
ejpam-6884	339	21	i	i	PROPN
ejpam-6884	340	1	d	d	X
ejpam-6884	340	2	a	a	X
ejpam-6884	340	3	,	,	PUNCT
ejpam-6884	340	4	r	r	NOUN
ejpam-6884	340	5	d	d	NOUN
ejpam-6884	340	6	a	a	NOUN
ejpam-6884	340	7	)	)	PUNCT
ejpam-6884	340	8	+	+	CCONJ
ejpam-6884	340	9	ηϑ	ηϑ	ADP
ejpam-6884	340	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	340	11	)	)	PUNCT
ejpam-6884	340	12	∫	∫	PROPN
ejpam-6884	341	1	τ	τ	PROPN
ejpam-6884	341	2	0	0	X
ejpam-6884	342	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	342	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	342	3	×	×	PROPN
ejpam-6884	342	4	κ2(τ	κ2(τ	PROPN
ejpam-6884	342	5	,	,	PUNCT
ejpam-6884	342	6	sh	sh	INTJ
ejpam-6884	342	7	,	,	PUNCT
ejpam-6884	342	8	ih	ih	X
ejpam-6884	342	9	,	,	PUNCT
ejpam-6884	342	10	th	th	INTJ
ejpam-6884	342	11	,	,	PUNCT
ejpam-6884	342	12	rh	rh	PROPN
ejpam-6884	342	13	,	,	PUNCT
ejpam-6884	342	14	ph	ph	PROPN
ejpam-6884	342	15	,	,	PUNCT
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ejpam-6884	342	17	,	,	PUNCT
ejpam-6884	342	18	ia	ia	PROPN
ejpam-6884	342	19	,	,	PUNCT
ejpam-6884	342	20	ra)ds	ra)ds	PROPN
ejpam-6884	342	21	t	t	PROPN
ejpam-6884	342	22	d+1	d+1	PROPN
ejpam-6884	342	23	h	h	NOUN
ejpam-6884	342	24	=	=	SYM
ejpam-6884	342	25	t̃h(0	t̃h(0	PROPN
ejpam-6884	342	26	,	,	PUNCT
ejpam-6884	342	27	γ	γ	NOUN
ejpam-6884	342	28	)	)	PUNCT
ejpam-6884	342	29	+	+	CCONJ
ejpam-6884	342	30	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	342	31	η	η	PROPN
ejpam-6884	342	32	)	)	PUNCT
ejpam-6884	342	33	ab(η	ab(η	X
ejpam-6884	342	34	)	)	PUNCT
ejpam-6884	342	35	κ3(τd	κ3(τd	PROPN
ejpam-6884	342	36	,	,	PUNCT
ejpam-6884	342	37	s	s	PART
ejpam-6884	342	38	d	d	NOUN
ejpam-6884	342	39	h	h	NOUN
ejpam-6884	342	40	,	,	PUNCT
ejpam-6884	343	1	i	i	PRON
ejpam-6884	343	2	d	d	NOUN
ejpam-6884	343	3	h	h	NOUN
ejpam-6884	343	4	,	,	PUNCT
ejpam-6884	343	5	t	t	PROPN
ejpam-6884	343	6	d	d	NOUN
ejpam-6884	343	7	h	h	NOUN
ejpam-6884	343	8	,	,	PUNCT
ejpam-6884	343	9	r	r	NOUN
ejpam-6884	343	10	d	d	PROPN
ejpam-6884	343	11	h	h	NOUN
ejpam-6884	343	12	,	,	PUNCT
ejpam-6884	343	13	p	p	PROPN
ejpam-6884	343	14	d	d	X
ejpam-6884	343	15	h	h	NOUN
ejpam-6884	343	16	,	,	PUNCT
ejpam-6884	343	17	s	s	PROPN
ejpam-6884	343	18	d	d	X
ejpam-6884	343	19	a	a	PROPN
ejpam-6884	343	20	,	,	PUNCT
ejpam-6884	343	21	i	i	PROPN
ejpam-6884	344	1	d	d	X
ejpam-6884	344	2	a	a	X
ejpam-6884	344	3	,	,	PUNCT
ejpam-6884	344	4	r	r	NOUN
ejpam-6884	344	5	d	d	NOUN
ejpam-6884	344	6	a	a	NOUN
ejpam-6884	344	7	)	)	PUNCT
ejpam-6884	344	8	+	+	CCONJ
ejpam-6884	344	9	ηϑ	ηϑ	ADP
ejpam-6884	344	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	344	11	)	)	PUNCT
ejpam-6884	344	12	∫	∫	PROPN
ejpam-6884	345	1	τ	τ	PROPN
ejpam-6884	345	2	0	0	X
ejpam-6884	346	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	346	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	346	3	×	×	PROPN
ejpam-6884	346	4	κ3(τ	κ3(τ	PROPN
ejpam-6884	346	5	,	,	PUNCT
ejpam-6884	346	6	sh	sh	INTJ
ejpam-6884	346	7	,	,	PUNCT
ejpam-6884	346	8	ih	ih	X
ejpam-6884	346	9	,	,	PUNCT
ejpam-6884	346	10	th	th	INTJ
ejpam-6884	346	11	,	,	PUNCT
ejpam-6884	346	12	rh	rh	PROPN
ejpam-6884	346	13	,	,	PUNCT
ejpam-6884	346	14	ph	ph	PROPN
ejpam-6884	346	15	,	,	PUNCT
ejpam-6884	346	16	sa	sa	PROPN
ejpam-6884	346	17	,	,	PUNCT
ejpam-6884	346	18	ia	ia	PROPN
ejpam-6884	346	19	,	,	PUNCT
ejpam-6884	346	20	ra)ds	ra)ds	X
ejpam-6884	346	21	rd+1	rd+1	ADP
ejpam-6884	346	22	h	h	NOUN
ejpam-6884	346	23	=	=	SYM
ejpam-6884	346	24	r̃h(0	r̃h(0	PROPN
ejpam-6884	346	25	,	,	PUNCT
ejpam-6884	346	26	γ	γ	NOUN
ejpam-6884	346	27	)	)	PUNCT
ejpam-6884	346	28	+	+	CCONJ
ejpam-6884	346	29	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	346	30	η	η	PROPN
ejpam-6884	346	31	)	)	PUNCT
ejpam-6884	346	32	ab(η	ab(η	NUM
ejpam-6884	346	33	)	)	PUNCT
ejpam-6884	346	34	κ4(τd	κ4(τd	PROPN
ejpam-6884	346	35	,	,	PUNCT
ejpam-6884	346	36	s	s	PROPN
ejpam-6884	346	37	d	d	NOUN
ejpam-6884	346	38	h	h	NOUN
ejpam-6884	346	39	,	,	PUNCT
ejpam-6884	347	1	i	i	PRON
ejpam-6884	347	2	d	d	NOUN
ejpam-6884	347	3	h	h	NOUN
ejpam-6884	347	4	,	,	PUNCT
ejpam-6884	347	5	t	t	PROPN
ejpam-6884	347	6	d	d	NOUN
ejpam-6884	347	7	h	h	NOUN
ejpam-6884	347	8	,	,	PUNCT
ejpam-6884	347	9	r	r	NOUN
ejpam-6884	347	10	d	d	PROPN
ejpam-6884	347	11	h	h	NOUN
ejpam-6884	347	12	,	,	PUNCT
ejpam-6884	347	13	p	p	PROPN
ejpam-6884	347	14	d	d	X
ejpam-6884	347	15	h	h	NOUN
ejpam-6884	347	16	,	,	PUNCT
ejpam-6884	347	17	s	s	PROPN
ejpam-6884	347	18	d	d	X
ejpam-6884	347	19	a	a	PROPN
ejpam-6884	347	20	,	,	PUNCT
ejpam-6884	347	21	i	i	PROPN
ejpam-6884	348	1	d	d	X
ejpam-6884	348	2	a	a	X
ejpam-6884	348	3	,	,	PUNCT
ejpam-6884	348	4	r	r	NOUN
ejpam-6884	348	5	d	d	NOUN
ejpam-6884	348	6	a	a	NOUN
ejpam-6884	348	7	)	)	PUNCT
ejpam-6884	348	8	+	+	CCONJ
ejpam-6884	348	9	ηϑ	ηϑ	ADP
ejpam-6884	348	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	348	11	)	)	PUNCT
ejpam-6884	348	12	∫	∫	PROPN
ejpam-6884	349	1	τ	τ	PROPN
ejpam-6884	349	2	0	0	X
ejpam-6884	350	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	350	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	350	3	×	×	PROPN
ejpam-6884	350	4	κ4(τ	κ4(τ	PROPN
ejpam-6884	350	5	,	,	PUNCT
ejpam-6884	350	6	sh	sh	INTJ
ejpam-6884	350	7	,	,	PUNCT
ejpam-6884	350	8	ih	ih	X
ejpam-6884	350	9	,	,	PUNCT
ejpam-6884	350	10	th	th	INTJ
ejpam-6884	350	11	,	,	PUNCT
ejpam-6884	350	12	rh	rh	PROPN
ejpam-6884	350	13	,	,	PUNCT
ejpam-6884	350	14	ph	ph	PROPN
ejpam-6884	350	15	,	,	PUNCT
ejpam-6884	350	16	sa	sa	PROPN
ejpam-6884	350	17	,	,	PUNCT
ejpam-6884	350	18	ia	ia	PROPN
ejpam-6884	350	19	,	,	PUNCT
ejpam-6884	350	20	ra)ds	ra)ds	X
ejpam-6884	350	21	p	p	PROPN
ejpam-6884	350	22	d+1	d+1	PROPN
ejpam-6884	350	23	h	h	NOUN
ejpam-6884	350	24	=	=	SYM
ejpam-6884	350	25	p̃h(0	p̃h(0	PROPN
ejpam-6884	350	26	,	,	PUNCT
ejpam-6884	350	27	γ	γ	NOUN
ejpam-6884	350	28	)	)	PUNCT
ejpam-6884	350	29	+	+	CCONJ
ejpam-6884	350	30	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	350	31	η	η	PROPN
ejpam-6884	350	32	)	)	PUNCT
ejpam-6884	350	33	ab(η	ab(η	X
ejpam-6884	350	34	)	)	PUNCT
ejpam-6884	351	1	κ5(τd	κ5(τd	PROPN
ejpam-6884	351	2	,	,	PUNCT
ejpam-6884	351	3	s	s	PART
ejpam-6884	351	4	d	d	NOUN
ejpam-6884	351	5	h	h	NOUN
ejpam-6884	351	6	,	,	PUNCT
ejpam-6884	352	1	i	i	PRON
ejpam-6884	352	2	d	d	NOUN
ejpam-6884	352	3	h	h	NOUN
ejpam-6884	352	4	,	,	PUNCT
ejpam-6884	352	5	t	t	PROPN
ejpam-6884	352	6	d	d	NOUN
ejpam-6884	352	7	h	h	NOUN
ejpam-6884	352	8	,	,	PUNCT
ejpam-6884	352	9	r	r	NOUN
ejpam-6884	352	10	d	d	PROPN
ejpam-6884	352	11	h	h	NOUN
ejpam-6884	352	12	,	,	PUNCT
ejpam-6884	352	13	p	p	PROPN
ejpam-6884	352	14	d	d	X
ejpam-6884	352	15	h	h	NOUN
ejpam-6884	352	16	,	,	PUNCT
ejpam-6884	352	17	s	s	PROPN
ejpam-6884	352	18	d	d	X
ejpam-6884	352	19	a	a	PROPN
ejpam-6884	352	20	,	,	PUNCT
ejpam-6884	352	21	i	i	PROPN
ejpam-6884	353	1	d	d	X
ejpam-6884	353	2	a	a	X
ejpam-6884	353	3	,	,	PUNCT
ejpam-6884	353	4	r	r	NOUN
ejpam-6884	353	5	d	d	NOUN
ejpam-6884	353	6	a	a	NOUN
ejpam-6884	353	7	)	)	PUNCT
ejpam-6884	353	8	+	+	CCONJ
ejpam-6884	353	9	ηϑ	ηϑ	ADP
ejpam-6884	353	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	353	11	)	)	PUNCT
ejpam-6884	353	12	∫	∫	PROPN
ejpam-6884	354	1	τ	τ	PROPN
ejpam-6884	354	2	0	0	X
ejpam-6884	355	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	355	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	355	3	×	×	PROPN
ejpam-6884	355	4	κ5(τ	κ5(τ	ADV
ejpam-6884	355	5	,	,	PUNCT
ejpam-6884	355	6	sh	sh	INTJ
ejpam-6884	355	7	,	,	PUNCT
ejpam-6884	355	8	ih	ih	X
ejpam-6884	355	9	,	,	PUNCT
ejpam-6884	355	10	th	th	INTJ
ejpam-6884	355	11	,	,	PUNCT
ejpam-6884	355	12	rh	rh	PROPN
ejpam-6884	355	13	,	,	PUNCT
ejpam-6884	355	14	ph	ph	PROPN
ejpam-6884	355	15	,	,	PUNCT
ejpam-6884	355	16	sa	sa	PROPN
ejpam-6884	355	17	,	,	PUNCT
ejpam-6884	355	18	ia	ia	PROPN
ejpam-6884	355	19	,	,	PUNCT
ejpam-6884	355	20	ra)ds	ra)ds	PROPN
ejpam-6884	355	21	sd+1	sd+1	VERB
ejpam-6884	355	22	a	a	DET
ejpam-6884	355	23	=	=	PUNCT
ejpam-6884	355	24	s̃a(0	s̃a(0	NOUN
ejpam-6884	355	25	,	,	PUNCT
ejpam-6884	355	26	γ	γ	NOUN
ejpam-6884	355	27	)	)	PUNCT
ejpam-6884	355	28	+	+	CCONJ
ejpam-6884	355	29	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	355	30	η	η	PROPN
ejpam-6884	355	31	)	)	PUNCT
ejpam-6884	355	32	ab(η	ab(η	NUM
ejpam-6884	355	33	)	)	PUNCT
ejpam-6884	356	1	κ6(τd	κ6(τd	PROPN
ejpam-6884	356	2	,	,	PUNCT
ejpam-6884	356	3	s	s	NOUN
ejpam-6884	356	4	d	d	NOUN
ejpam-6884	356	5	h	h	NOUN
ejpam-6884	356	6	,	,	PUNCT
ejpam-6884	357	1	i	i	PRON
ejpam-6884	357	2	d	d	NOUN
ejpam-6884	357	3	h	h	NOUN
ejpam-6884	357	4	,	,	PUNCT
ejpam-6884	357	5	t	t	PROPN
ejpam-6884	357	6	d	d	NOUN
ejpam-6884	357	7	h	h	NOUN
ejpam-6884	357	8	,	,	PUNCT
ejpam-6884	357	9	r	r	NOUN
ejpam-6884	357	10	d	d	PROPN
ejpam-6884	357	11	h	h	NOUN
ejpam-6884	357	12	,	,	PUNCT
ejpam-6884	357	13	p	p	PROPN
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ejpam-6884	357	15	h	h	NOUN
ejpam-6884	357	16	,	,	PUNCT
ejpam-6884	357	17	s	s	PROPN
ejpam-6884	357	18	d	d	X
ejpam-6884	357	19	a	a	PROPN
ejpam-6884	357	20	,	,	PUNCT
ejpam-6884	357	21	i	i	PROPN
ejpam-6884	358	1	d	d	X
ejpam-6884	358	2	a	a	X
ejpam-6884	358	3	,	,	PUNCT
ejpam-6884	358	4	r	r	NOUN
ejpam-6884	358	5	d	d	NOUN
ejpam-6884	358	6	a	a	NOUN
ejpam-6884	358	7	)	)	PUNCT
ejpam-6884	358	8	+	+	CCONJ
ejpam-6884	358	9	ηϑ	ηϑ	ADP
ejpam-6884	358	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	358	11	)	)	PUNCT
ejpam-6884	358	12	∫	∫	PROPN
ejpam-6884	359	1	τ	τ	PROPN
ejpam-6884	359	2	0	0	X
ejpam-6884	360	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	360	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	360	3	×	×	PROPN
ejpam-6884	360	4	κ6(τ	κ6(τ	PROPN
ejpam-6884	360	5	,	,	PUNCT
ejpam-6884	360	6	sh	sh	INTJ
ejpam-6884	360	7	,	,	PUNCT
ejpam-6884	360	8	ih	ih	X
ejpam-6884	360	9	,	,	PUNCT
ejpam-6884	360	10	th	th	INTJ
ejpam-6884	360	11	,	,	PUNCT
ejpam-6884	360	12	rh	rh	PROPN
ejpam-6884	360	13	,	,	PUNCT
ejpam-6884	360	14	ph	ph	PROPN
ejpam-6884	360	15	,	,	PUNCT
ejpam-6884	360	16	sa	sa	PROPN
ejpam-6884	360	17	,	,	PUNCT
ejpam-6884	360	18	ia	ia	PROPN
ejpam-6884	360	19	,	,	PUNCT
ejpam-6884	360	20	ra)ds	ra)ds	X
ejpam-6884	360	21	id+1	id+1	NUM
ejpam-6884	360	22	a	a	DET
ejpam-6884	360	23	=	=	SYM
ejpam-6884	360	24	ĩa(0	ĩa(0	PROPN
ejpam-6884	360	25	,	,	PUNCT
ejpam-6884	360	26	γ	γ	NOUN
ejpam-6884	360	27	)	)	PUNCT
ejpam-6884	360	28	+	+	CCONJ
ejpam-6884	360	29	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	360	30	η	η	PROPN
ejpam-6884	360	31	)	)	PUNCT
ejpam-6884	360	32	ab(η	ab(η	NUM
ejpam-6884	360	33	)	)	PUNCT
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ejpam-6884	360	35	,	,	PUNCT
ejpam-6884	360	36	s	s	PART
ejpam-6884	360	37	d	d	NOUN
ejpam-6884	360	38	h	h	NOUN
ejpam-6884	360	39	,	,	PUNCT
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ejpam-6884	361	2	d	d	NOUN
ejpam-6884	361	3	h	h	NOUN
ejpam-6884	361	4	,	,	PUNCT
ejpam-6884	361	5	t	t	PROPN
ejpam-6884	361	6	d	d	NOUN
ejpam-6884	361	7	h	h	NOUN
ejpam-6884	361	8	,	,	PUNCT
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ejpam-6884	361	10	d	d	PROPN
ejpam-6884	361	11	h	h	NOUN
ejpam-6884	361	12	,	,	PUNCT
ejpam-6884	361	13	p	p	PROPN
ejpam-6884	361	14	d	d	X
ejpam-6884	361	15	h	h	NOUN
ejpam-6884	361	16	,	,	PUNCT
ejpam-6884	361	17	s	s	PROPN
ejpam-6884	361	18	d	d	X
ejpam-6884	361	19	a	a	PROPN
ejpam-6884	361	20	,	,	PUNCT
ejpam-6884	361	21	i	i	PROPN
ejpam-6884	362	1	d	d	X
ejpam-6884	362	2	a	a	X
ejpam-6884	362	3	,	,	PUNCT
ejpam-6884	362	4	r	r	NOUN
ejpam-6884	362	5	d	d	NOUN
ejpam-6884	362	6	a	a	NOUN
ejpam-6884	362	7	)	)	PUNCT
ejpam-6884	362	8	+	+	CCONJ
ejpam-6884	362	9	ηϑ	ηϑ	ADP
ejpam-6884	362	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	362	11	)	)	PUNCT
ejpam-6884	362	12	∫	∫	PROPN
ejpam-6884	363	1	τ	τ	PROPN
ejpam-6884	363	2	0	0	X
ejpam-6884	364	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	364	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	364	3	×	×	PROPN
ejpam-6884	364	4	κ7(τ	κ7(τ	PROPN
ejpam-6884	364	5	,	,	PUNCT
ejpam-6884	364	6	sh	sh	INTJ
ejpam-6884	364	7	,	,	PUNCT
ejpam-6884	364	8	ih	ih	X
ejpam-6884	364	9	,	,	PUNCT
ejpam-6884	364	10	th	th	INTJ
ejpam-6884	364	11	,	,	PUNCT
ejpam-6884	364	12	rh	rh	PROPN
ejpam-6884	364	13	,	,	PUNCT
ejpam-6884	364	14	ph	ph	PROPN
ejpam-6884	364	15	,	,	PUNCT
ejpam-6884	364	16	sa	sa	PROPN
ejpam-6884	364	17	,	,	PUNCT
ejpam-6884	364	18	ia	ia	PROPN
ejpam-6884	364	19	,	,	PUNCT
ejpam-6884	364	20	ra)ds	ra)ds	X
ejpam-6884	364	21	rd+1	rd+1	VERB
ejpam-6884	364	22	a	a	DET
ejpam-6884	364	23	=	=	PUNCT
ejpam-6884	364	24	r̃a(0	r̃a(0	PROPN
ejpam-6884	364	25	,	,	PUNCT
ejpam-6884	364	26	γ	γ	NOUN
ejpam-6884	364	27	)	)	PUNCT
ejpam-6884	364	28	+	+	CCONJ
ejpam-6884	364	29	ϑτϑ−1(1−	ϑτϑ−1(1−	PROPN
ejpam-6884	364	30	η	η	PROPN
ejpam-6884	364	31	)	)	PUNCT
ejpam-6884	364	32	ab(η	ab(η	NUM
ejpam-6884	364	33	)	)	PUNCT
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ejpam-6884	365	2	,	,	PUNCT
ejpam-6884	365	3	s	s	PART
ejpam-6884	365	4	d	d	NOUN
ejpam-6884	365	5	h	h	NOUN
ejpam-6884	365	6	,	,	PUNCT
ejpam-6884	366	1	i	i	PRON
ejpam-6884	366	2	d	d	NOUN
ejpam-6884	366	3	h	h	NOUN
ejpam-6884	366	4	,	,	PUNCT
ejpam-6884	366	5	t	t	PROPN
ejpam-6884	366	6	d	d	NOUN
ejpam-6884	366	7	h	h	NOUN
ejpam-6884	366	8	,	,	PUNCT
ejpam-6884	366	9	r	r	NOUN
ejpam-6884	366	10	d	d	PROPN
ejpam-6884	366	11	h	h	NOUN
ejpam-6884	366	12	,	,	PUNCT
ejpam-6884	366	13	p	p	PROPN
ejpam-6884	366	14	d	d	X
ejpam-6884	366	15	h	h	NOUN
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ejpam-6884	366	17	s	s	PROPN
ejpam-6884	366	18	d	d	X
ejpam-6884	366	19	a	a	PROPN
ejpam-6884	366	20	,	,	PUNCT
ejpam-6884	366	21	i	i	PROPN
ejpam-6884	367	1	d	d	X
ejpam-6884	367	2	a	a	X
ejpam-6884	367	3	,	,	PUNCT
ejpam-6884	367	4	r	r	NOUN
ejpam-6884	367	5	d	d	NOUN
ejpam-6884	367	6	a	a	NOUN
ejpam-6884	367	7	)	)	PUNCT
ejpam-6884	367	8	+	+	CCONJ
ejpam-6884	367	9	ηϑ	ηϑ	ADP
ejpam-6884	367	10	⌈η⌉ab(η	⌈η⌉ab(η	PRON
ejpam-6884	367	11	)	)	PUNCT
ejpam-6884	367	12	∫	∫	PROPN
ejpam-6884	368	1	τ	τ	PROPN
ejpam-6884	368	2	0	0	X
ejpam-6884	369	1	sϑ−1(s−	sϑ−1(s−	PROPN
ejpam-6884	369	2	τ)η−1	τ)η−1	PROPN
ejpam-6884	369	3	×	×	PROPN
ejpam-6884	369	4	κ8(τ	κ8(τ	PROPN
ejpam-6884	369	5	,	,	PUNCT
ejpam-6884	369	6	sh	sh	INTJ
ejpam-6884	369	7	,	,	PUNCT
ejpam-6884	369	8	ih	ih	X
ejpam-6884	369	9	,	,	PUNCT
ejpam-6884	369	10	th	th	INTJ
ejpam-6884	369	11	,	,	PUNCT
ejpam-6884	369	12	rh	rh	PROPN
ejpam-6884	369	13	,	,	PUNCT
ejpam-6884	369	14	ph	ph	PROPN
ejpam-6884	369	15	,	,	PUNCT
ejpam-6884	369	16	sa	sa	PROPN
ejpam-6884	369	17	,	,	PUNCT
ejpam-6884	369	18	ia	ia	PROPN
ejpam-6884	369	19	,	,	PUNCT
ejpam-6884	369	20	ra)ds	ra)ds	PROPN
ejpam-6884	369	21	.	.	PUNCT
ejpam-6884	369	22	(	(	PUNCT
ejpam-6884	369	23	8)	8)	NUM
ejpam-6884	369	24	from	from	ADP
ejpam-6884	369	25	approximating	approximate	VERB
ejpam-6884	369	26	the	the	DET
ejpam-6884	369	27	integrals	integral	NOUN
ejpam-6884	369	28	on	on	ADP
ejpam-6884	369	29	the	the	DET
ejpam-6884	369	30	right	right	ADJ
ejpam-6884	369	31	side	side	NOUN
ejpam-6884	369	32	of	of	ADP
ejpam-6884	369	33	that	that	DET
ejpam-6884	369	34	equation	equation	NOUN
ejpam-6884	369	35	(	(	PUNCT
ejpam-6884	369	36	8)	8)	NUM
ejpam-6884	369	37	yields	yield	NOUN
ejpam-6884	369	38	the	the	PRON
ejpam-6884	369	39	v.	v.	INTJ
ejpam-6884	369	40	govindan	govindan	PROPN
ejpam-6884	369	41	et	et	PROPN
ejpam-6884	369	42	al	al	PROPN
ejpam-6884	369	43	.	.	PUNCT
ejpam-6884	369	44	/	/	SYM
ejpam-6884	369	45	eur	eur	PROPN
ejpam-6884	369	46	.	.	PUNCT
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ejpam-6884	370	2	pure	pure	PROPN
ejpam-6884	370	3	appl	appl	PROPN
ejpam-6884	370	4	.	.	PROPN
ejpam-6884	370	5	math	math	PROPN
ejpam-6884	370	6	,	,	PUNCT
ejpam-6884	370	7	18	18	NUM
ejpam-6884	370	8	(	(	PUNCT
ejpam-6884	370	9	4	4	NUM
ejpam-6884	370	10	)	)	PUNCT
ejpam-6884	370	11	(	(	PUNCT
ejpam-6884	370	12	2025	2025	NUM
ejpam-6884	370	13	)	)	PUNCT
ejpam-6884	370	14	,	,	PUNCT
ejpam-6884	370	15	6884	6884	NUM
ejpam-6884	370	16	16	16	NUM
ejpam-6884	370	17	of	of	ADP
ejpam-6884	370	18	29	29	NUM
ejpam-6884	370	19	following	follow	VERB
ejpam-6884	370	20	expression	expression	NOUN
ejpam-6884	370	21	.	.	PUNCT
ejpam-6884	371	1	sd+1	sd+1	VERB
ejpam-6884	371	2	h	h	NOUN
ejpam-6884	371	3	=	=	SYM
ejpam-6884	371	4	s̃h(0	s̃h(0	PROPN
ejpam-6884	371	5	,	,	PUNCT
ejpam-6884	371	6	γ	γ	NOUN
ejpam-6884	371	7	)	)	PUNCT
ejpam-6884	371	8	+	+	PUNCT
ejpam-6884	372	1	ϑτϑ−1	ϑτϑ−1	PROPN
ejpam-6884	372	2	d	d	PROPN
ejpam-6884	372	3	(	(	PUNCT
ejpam-6884	372	4	1−	1−	NUM
ejpam-6884	372	5	η	η	NOUN
ejpam-6884	372	6	)	)	PUNCT
ejpam-6884	372	7	ab(η	ab(η	NUM
ejpam-6884	372	8	)	)	PUNCT
ejpam-6884	372	9	κ1(τd	κ1(τd	PROPN
ejpam-6884	372	10	,	,	PUNCT
ejpam-6884	372	11	s	s	PART
ejpam-6884	372	12	d	d	NOUN
ejpam-6884	372	13	h	h	NOUN
ejpam-6884	372	14	,	,	PUNCT
ejpam-6884	373	1	i	i	PRON
ejpam-6884	373	2	d	d	NOUN
ejpam-6884	373	3	h	h	NOUN
ejpam-6884	373	4	,	,	PUNCT
ejpam-6884	373	5	t	t	PROPN
ejpam-6884	373	6	d	d	NOUN
ejpam-6884	373	7	h	h	NOUN
ejpam-6884	373	8	,	,	PUNCT
ejpam-6884	373	9	r	r	NOUN
ejpam-6884	373	10	d	d	PROPN
ejpam-6884	373	11	h	h	NOUN
ejpam-6884	373	12	,	,	PUNCT
ejpam-6884	373	13	p	p	PROPN
ejpam-6884	373	14	d	d	X
ejpam-6884	373	15	h	h	NOUN
ejpam-6884	373	16	,	,	PUNCT
ejpam-6884	373	17	s	s	PROPN
ejpam-6884	373	18	d	d	X
ejpam-6884	373	19	a	a	PROPN
ejpam-6884	373	20	,	,	PUNCT
ejpam-6884	373	21	i	i	PROPN
ejpam-6884	374	1	d	d	X
ejpam-6884	374	2	a	a	X
ejpam-6884	374	3	,	,	PUNCT
ejpam-6884	374	4	r	r	NOUN
ejpam-6884	374	5	d	d	NOUN
ejpam-6884	374	6	a	a	NOUN
ejpam-6884	374	7	)	)	PUNCT
ejpam-6884	374	8	+	+	CCONJ
ejpam-6884	374	9	ηϑ	ηϑ	ADP
ejpam-6884	374	10	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	374	11	)	)	PUNCT
ejpam-6884	375	1	d∑	d∑	PROPN
ejpam-6884	376	1	q=0	q=0	NOUN
ejpam-6884	376	2	∫	∫	PROPN
ejpam-6884	376	3	τq+1	τq+1	PROPN
ejpam-6884	376	4	τq	τq	NUM
ejpam-6884	376	5	sϑ−1(τd+1	sϑ−1(τd+1	PROPN
ejpam-6884	376	6	−	−	PROPN
ejpam-6884	376	7	s)η−1	s)η−1	PROPN
ejpam-6884	376	8	×	×	PROPN
ejpam-6884	376	9	κ1(τ	κ1(τ	PROPN
ejpam-6884	376	10	,	,	PUNCT
ejpam-6884	376	11	sh	sh	INTJ
ejpam-6884	376	12	,	,	PUNCT
ejpam-6884	376	13	ih	ih	X
ejpam-6884	376	14	,	,	PUNCT
ejpam-6884	376	15	th	th	INTJ
ejpam-6884	376	16	,	,	PUNCT
ejpam-6884	376	17	rh	rh	PROPN
ejpam-6884	376	18	,	,	PUNCT
ejpam-6884	376	19	ph	ph	PROPN
ejpam-6884	376	20	,	,	PUNCT
ejpam-6884	376	21	sa	sa	PROPN
ejpam-6884	376	22	,	,	PUNCT
ejpam-6884	376	23	ia	ia	PROPN
ejpam-6884	376	24	,	,	PUNCT
ejpam-6884	376	25	ra	ra	NOUN
ejpam-6884	376	26	)	)	PUNCT
ejpam-6884	376	27	ds	ds	ADP
ejpam-6884	376	28	id+1	id+1	NUM
ejpam-6884	376	29	h	h	NOUN
ejpam-6884	376	30	=	=	SYM
ejpam-6884	376	31	ĩh(0	ĩh(0	PROPN
ejpam-6884	376	32	,	,	PUNCT
ejpam-6884	376	33	γ	γ	NOUN
ejpam-6884	376	34	)	)	PUNCT
ejpam-6884	376	35	+	+	PUNCT
ejpam-6884	377	1	ϑτϑ−1	ϑτϑ−1	PROPN
ejpam-6884	377	2	d	d	PROPN
ejpam-6884	377	3	(	(	PUNCT
ejpam-6884	377	4	1−	1−	NUM
ejpam-6884	377	5	η	η	NOUN
ejpam-6884	377	6	)	)	PUNCT
ejpam-6884	377	7	ab(η	ab(η	NUM
ejpam-6884	377	8	)	)	PUNCT
ejpam-6884	377	9	κ2(τd	κ2(τd	PROPN
ejpam-6884	377	10	,	,	PUNCT
ejpam-6884	377	11	s	s	PART
ejpam-6884	377	12	d	d	NOUN
ejpam-6884	377	13	h	h	NOUN
ejpam-6884	377	14	,	,	PUNCT
ejpam-6884	378	1	i	i	PRON
ejpam-6884	378	2	d	d	NOUN
ejpam-6884	378	3	h	h	NOUN
ejpam-6884	378	4	,	,	PUNCT
ejpam-6884	378	5	t	t	PROPN
ejpam-6884	378	6	d	d	NOUN
ejpam-6884	378	7	h	h	NOUN
ejpam-6884	378	8	,	,	PUNCT
ejpam-6884	378	9	r	r	NOUN
ejpam-6884	378	10	d	d	PROPN
ejpam-6884	378	11	h	h	NOUN
ejpam-6884	378	12	,	,	PUNCT
ejpam-6884	378	13	p	p	PROPN
ejpam-6884	378	14	d	d	X
ejpam-6884	378	15	h	h	NOUN
ejpam-6884	378	16	,	,	PUNCT
ejpam-6884	378	17	s	s	PROPN
ejpam-6884	378	18	d	d	X
ejpam-6884	378	19	a	a	PROPN
ejpam-6884	378	20	,	,	PUNCT
ejpam-6884	378	21	i	i	PROPN
ejpam-6884	379	1	d	d	X
ejpam-6884	379	2	a	a	X
ejpam-6884	379	3	,	,	PUNCT
ejpam-6884	379	4	r	r	NOUN
ejpam-6884	379	5	d	d	NOUN
ejpam-6884	379	6	a	a	NOUN
ejpam-6884	379	7	)	)	PUNCT
ejpam-6884	379	8	+	+	CCONJ
ejpam-6884	379	9	ηϑ	ηϑ	ADP
ejpam-6884	379	10	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	379	11	)	)	PUNCT
ejpam-6884	380	1	d∑	d∑	PROPN
ejpam-6884	381	1	q=0	q=0	NOUN
ejpam-6884	381	2	∫	∫	PROPN
ejpam-6884	381	3	τq+1	τq+1	PROPN
ejpam-6884	381	4	τq	τq	NUM
ejpam-6884	381	5	sϑ−1(τd+1	sϑ−1(τd+1	PROPN
ejpam-6884	381	6	−	−	PROPN
ejpam-6884	381	7	s)η−1	s)η−1	PROPN
ejpam-6884	381	8	×	×	PROPN
ejpam-6884	381	9	κ2(τ	κ2(τ	PROPN
ejpam-6884	381	10	,	,	PUNCT
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ejpam-6884	407	8	+	+	CCONJ
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ejpam-6884	407	10	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	407	11	)	)	PUNCT
ejpam-6884	408	1	d∑	d∑	PROPN
ejpam-6884	409	1	q=0	q=0	NOUN
ejpam-6884	409	2	∫	∫	PROPN
ejpam-6884	409	3	τq+1	τq+1	PROPN
ejpam-6884	410	1	τq	τq	NUM
ejpam-6884	410	2	sϑ−1(τd+1	sϑ−1(τd+1	PROPN
ejpam-6884	411	1	−	−	PROPN
ejpam-6884	411	2	s)η−1	s)η−1	PROPN
ejpam-6884	411	3	×	×	PROPN
ejpam-6884	411	4	κ7(τ	κ7(τ	PROPN
ejpam-6884	411	5	,	,	PUNCT
ejpam-6884	411	6	sh	sh	INTJ
ejpam-6884	411	7	,	,	PUNCT
ejpam-6884	411	8	ih	ih	X
ejpam-6884	411	9	,	,	PUNCT
ejpam-6884	411	10	th	th	INTJ
ejpam-6884	411	11	,	,	PUNCT
ejpam-6884	411	12	rh	rh	PROPN
ejpam-6884	411	13	,	,	PUNCT
ejpam-6884	411	14	ph	ph	PROPN
ejpam-6884	411	15	,	,	PUNCT
ejpam-6884	411	16	sa	sa	PROPN
ejpam-6884	411	17	,	,	PUNCT
ejpam-6884	411	18	ia	ia	PROPN
ejpam-6884	411	19	,	,	PUNCT
ejpam-6884	411	20	ra	ra	NOUN
ejpam-6884	411	21	)	)	PUNCT
ejpam-6884	411	22	ds	ds	PROPN
ejpam-6884	411	23	rd+1	rd+1	NUM
ejpam-6884	411	24	a	a	DET
ejpam-6884	411	25	=	=	PUNCT
ejpam-6884	411	26	r̃a(0	r̃a(0	PROPN
ejpam-6884	411	27	,	,	PUNCT
ejpam-6884	411	28	γ	γ	NOUN
ejpam-6884	411	29	)	)	PUNCT
ejpam-6884	412	1	+	+	PUNCT
ejpam-6884	413	1	ϑτϑ−1	ϑτϑ−1	PROPN
ejpam-6884	413	2	d	d	PROPN
ejpam-6884	413	3	(	(	PUNCT
ejpam-6884	413	4	1−	1−	NUM
ejpam-6884	413	5	η	η	NOUN
ejpam-6884	413	6	)	)	PUNCT
ejpam-6884	413	7	ab(η	ab(η	NUM
ejpam-6884	413	8	)	)	PUNCT
ejpam-6884	413	9	κ8(τd	κ8(τd	PROPN
ejpam-6884	413	10	,	,	PUNCT
ejpam-6884	413	11	s	s	PART
ejpam-6884	413	12	d	d	NOUN
ejpam-6884	413	13	h	h	NOUN
ejpam-6884	413	14	,	,	PUNCT
ejpam-6884	414	1	i	i	PRON
ejpam-6884	414	2	d	d	NOUN
ejpam-6884	414	3	h	h	NOUN
ejpam-6884	414	4	,	,	PUNCT
ejpam-6884	414	5	t	t	PROPN
ejpam-6884	414	6	d	d	NOUN
ejpam-6884	414	7	h	h	NOUN
ejpam-6884	414	8	,	,	PUNCT
ejpam-6884	414	9	r	r	NOUN
ejpam-6884	414	10	d	d	PROPN
ejpam-6884	414	11	h	h	NOUN
ejpam-6884	414	12	,	,	PUNCT
ejpam-6884	414	13	p	p	PROPN
ejpam-6884	414	14	d	d	X
ejpam-6884	414	15	h	h	NOUN
ejpam-6884	414	16	,	,	PUNCT
ejpam-6884	414	17	s	s	PROPN
ejpam-6884	414	18	d	d	X
ejpam-6884	414	19	a	a	PROPN
ejpam-6884	414	20	,	,	PUNCT
ejpam-6884	414	21	i	i	PROPN
ejpam-6884	415	1	d	d	X
ejpam-6884	415	2	a	a	X
ejpam-6884	415	3	,	,	PUNCT
ejpam-6884	415	4	r	r	NOUN
ejpam-6884	415	5	d	d	PROPN
ejpam-6884	415	6	a	a	X
ejpam-6884	415	7	)	)	PUNCT
ejpam-6884	415	8	v.	v.	ADP
ejpam-6884	415	9	govindan	govindan	PROPN
ejpam-6884	415	10	et	et	PROPN
ejpam-6884	415	11	al	al	PROPN
ejpam-6884	415	12	.	.	PUNCT
ejpam-6884	415	13	/	/	SYM
ejpam-6884	415	14	eur	eur	PROPN
ejpam-6884	415	15	.	.	PUNCT
ejpam-6884	416	1	j.	j.	PROPN
ejpam-6884	416	2	pure	pure	PROPN
ejpam-6884	416	3	appl	appl	PROPN
ejpam-6884	416	4	.	.	PROPN
ejpam-6884	416	5	math	math	PROPN
ejpam-6884	416	6	,	,	PUNCT
ejpam-6884	416	7	18	18	NUM
ejpam-6884	416	8	(	(	PUNCT
ejpam-6884	416	9	4	4	NUM
ejpam-6884	416	10	)	)	PUNCT
ejpam-6884	416	11	(	(	PUNCT
ejpam-6884	416	12	2025	2025	NUM
ejpam-6884	416	13	)	)	PUNCT
ejpam-6884	416	14	,	,	PUNCT
ejpam-6884	416	15	6884	6884	NUM
ejpam-6884	416	16	17	17	NUM
ejpam-6884	416	17	of	of	ADP
ejpam-6884	416	18	29	29	NUM
ejpam-6884	416	19	+	+	CCONJ
ejpam-6884	416	20	ηϑ	ηϑ	ADP
ejpam-6884	416	21	⌈η⌉ab(η	⌈η⌉ab(η	PROPN
ejpam-6884	416	22	)	)	PUNCT
ejpam-6884	417	1	d∑	d∑	PROPN
ejpam-6884	418	1	q=0	q=0	NOUN
ejpam-6884	418	2	∫	∫	PROPN
ejpam-6884	418	3	τq+1	τq+1	PROPN
ejpam-6884	418	4	τq	τq	NUM
ejpam-6884	418	5	sϑ−1(τd+1	sϑ−1(τd+1	PROPN
ejpam-6884	418	6	−	−	PROPN
ejpam-6884	418	7	s)η−1	s)η−1	PROPN
ejpam-6884	418	8	×	×	PROPN
ejpam-6884	418	9	κ8(τ	κ8(τ	NOUN
ejpam-6884	418	10	,	,	PUNCT
ejpam-6884	418	11	sh	sh	INTJ
ejpam-6884	418	12	,	,	PUNCT
ejpam-6884	418	13	ih	ih	X
ejpam-6884	418	14	,	,	PUNCT
ejpam-6884	418	15	th	th	INTJ
ejpam-6884	418	16	,	,	PUNCT
ejpam-6884	418	17	rh	rh	PROPN
ejpam-6884	418	18	,	,	PUNCT
ejpam-6884	418	19	ph	ph	PROPN
ejpam-6884	418	20	,	,	PUNCT
ejpam-6884	418	21	sa	sa	PROPN
ejpam-6884	418	22	,	,	PUNCT
ejpam-6884	418	23	ia	ia	PROPN
ejpam-6884	418	24	,	,	PUNCT
ejpam-6884	418	25	ra	ra	NOUN
ejpam-6884	418	26	)	)	PUNCT
ejpam-6884	418	27	ds	ds	VERB
ejpam-6884	418	28	afterward	afterward	ADV
ejpam-6884	418	29	,	,	PUNCT
ejpam-6884	418	30	we	we	PRON
ejpam-6884	418	31	possess	possess	VERB
ejpam-6884	418	32	pq(s	pq(s	ADV
ejpam-6884	418	33	)	)	PUNCT
ejpam-6884	418	34	=	=	SYM
ejpam-6884	418	35	(	(	PUNCT
ejpam-6884	418	36	s−	s−	PROPN
ejpam-6884	418	37	τq−1	τq−1	PROPN
ejpam-6884	418	38	)	)	PUNCT
ejpam-6884	418	39	(	(	PUNCT
ejpam-6884	418	40	τq	τq	ADP
ejpam-6884	418	41	−	−	PROPN
ejpam-6884	418	42	τq−1	τq−1	NOUN
ejpam-6884	418	43	)	)	PUNCT
ejpam-6884	418	44	τϑ−1	τϑ−1	NOUN
ejpam-6884	418	45	q	q	X
ejpam-6884	418	46	κ1(τq	κ1(τq	PROPN
ejpam-6884	418	47	,	,	PUNCT
ejpam-6884	418	48	s	s	VERB
ejpam-6884	418	49	q	q	NOUN
ejpam-6884	418	50	h	h	NOUN
ejpam-6884	418	51	,	,	PUNCT
ejpam-6884	419	1	i	i	PRON
ejpam-6884	419	2	q	q	PROPN
ejpam-6884	419	3	h	h	NOUN
ejpam-6884	419	4	,	,	PUNCT
ejpam-6884	419	5	t	t	PROPN
ejpam-6884	419	6	q	q	PROPN
ejpam-6884	419	7	h	h	NOUN
ejpam-6884	419	8	,	,	PUNCT
ejpam-6884	419	9	r	r	NOUN
ejpam-6884	419	10	q	q	NOUN
ejpam-6884	419	11	h	h	NOUN
ejpam-6884	419	12	,	,	PUNCT
ejpam-6884	419	13	p	p	PRON
ejpam-6884	419	14	q	q	PROPN
ejpam-6884	419	15	h	h	NOUN
ejpam-6884	419	16	,	,	PUNCT
ejpam-6884	419	17	s	s	VERB
ejpam-6884	419	18	q	q	NOUN
ejpam-6884	419	19	a	a	PROPN
ejpam-6884	419	20	,	,	PUNCT
ejpam-6884	420	1	i	i	PRON
ejpam-6884	420	2	q	q	VERB
ejpam-6884	420	3	a	a	X
ejpam-6884	420	4	,	,	PUNCT
ejpam-6884	421	1	r	r	NOUN
ejpam-6884	421	2	q	q	NOUN
ejpam-6884	421	3	a	a	NOUN
ejpam-6884	421	4	)	)	PUNCT
ejpam-6884	421	5	−	−	PROPN
ejpam-6884	422	1	(	(	PUNCT
ejpam-6884	422	2	s−	s−	PROPN
ejpam-6884	422	3	τq	τq	NUM
ejpam-6884	422	4	)	)	PUNCT
ejpam-6884	422	5	(	(	PUNCT
ejpam-6884	422	6	τq	τq	ADP
ejpam-6884	422	7	−	−	PROPN
ejpam-6884	422	8	τq−1	τq−1	NOUN
ejpam-6884	422	9	)	)	PUNCT
ejpam-6884	422	10	τϑ−1	τϑ−1	NOUN
ejpam-6884	422	11	q−1	q−1	PROPN
ejpam-6884	422	12	κ1(τq−1	κ1(τq−1	PROPN
ejpam-6884	422	13	,	,	PUNCT
ejpam-6884	422	14	s	s	VERB
ejpam-6884	422	15	q−1	q−1	PROPN
ejpam-6884	422	16	h	h	NOUN
ejpam-6884	422	17	,	,	PUNCT
ejpam-6884	422	18	iq−1	iq−1	NOUN
ejpam-6884	422	19	h	h	NOUN
ejpam-6884	422	20	,	,	PUNCT
ejpam-6884	422	21	t	t	PROPN
ejpam-6884	423	1	q−1	q−1	PROPN
ejpam-6884	423	2	h	h	NOUN
ejpam-6884	423	3	,	,	PUNCT
ejpam-6884	423	4	rq−1	rq−1	PROPN
ejpam-6884	423	5	h	h	NOUN
ejpam-6884	423	6	,	,	PUNCT
ejpam-6884	424	1	p	p	PROPN
ejpam-6884	424	2	q−1	q−1	PROPN
ejpam-6884	424	3	h	h	NOUN
ejpam-6884	424	4	,	,	PUNCT
ejpam-6884	424	5	sq−1	sq−1	PROPN
ejpam-6884	424	6	a	a	PRON
ejpam-6884	424	7	,	,	PUNCT
ejpam-6884	424	8	iq−1	iq−1	X
ejpam-6884	424	9	a	a	X
ejpam-6884	424	10	,	,	PUNCT
ejpam-6884	424	11	rq−1	rq−1	PROPN
ejpam-6884	424	12	a	a	PRON
ejpam-6884	424	13	)	)	PUNCT
ejpam-6884	424	14	qq(s	qq(s	ADP
ejpam-6884	424	15	)	)	PUNCT
ejpam-6884	424	16	=	=	SYM
ejpam-6884	424	17	(	(	PUNCT
ejpam-6884	424	18	s−	s−	PROPN
ejpam-6884	424	19	τq−1	τq−1	PROPN
ejpam-6884	424	20	)	)	PUNCT
ejpam-6884	424	21	(	(	PUNCT
ejpam-6884	424	22	τq	τq	ADP
ejpam-6884	424	23	−	−	PROPN
ejpam-6884	424	24	τq−1	τq−1	NOUN
ejpam-6884	424	25	)	)	PUNCT
ejpam-6884	424	26	τϑ−1	τϑ−1	NOUN
ejpam-6884	424	27	q	q	PUNCT
ejpam-6884	424	28	κ2(τq	κ2(τq	PROPN
ejpam-6884	424	29	,	,	PUNCT
ejpam-6884	424	30	s	s	VERB
ejpam-6884	424	31	q	q	ADJ
ejpam-6884	424	32	h	h	NOUN
ejpam-6884	424	33	,	,	PUNCT
ejpam-6884	424	34	i	i	PRON
ejpam-6884	424	35	q	q	PROPN
ejpam-6884	424	36	h	h	NOUN
ejpam-6884	424	37	,	,	PUNCT
ejpam-6884	424	38	t	t	PROPN
ejpam-6884	424	39	q	q	PROPN
ejpam-6884	424	40	h	h	NOUN
ejpam-6884	424	41	,	,	PUNCT
ejpam-6884	424	42	r	r	NOUN
ejpam-6884	424	43	q	q	NOUN
ejpam-6884	424	44	h	h	NOUN
ejpam-6884	424	45	,	,	PUNCT
ejpam-6884	424	46	p	p	PRON
ejpam-6884	424	47	q	q	PROPN
ejpam-6884	424	48	h	h	NOUN
ejpam-6884	424	49	,	,	PUNCT
ejpam-6884	424	50	s	s	VERB
ejpam-6884	424	51	q	q	NOUN
ejpam-6884	424	52	a	a	PROPN
ejpam-6884	424	53	,	,	PUNCT
ejpam-6884	425	1	i	i	PRON
ejpam-6884	425	2	q	q	VERB
ejpam-6884	425	3	a	a	X
ejpam-6884	425	4	,	,	PUNCT
ejpam-6884	426	1	r	r	NOUN
ejpam-6884	426	2	q	q	NOUN
ejpam-6884	426	3	a	a	NOUN
ejpam-6884	426	4	)	)	PUNCT
ejpam-6884	426	5	−	−	PROPN
ejpam-6884	427	1	(	(	PUNCT
ejpam-6884	427	2	s−	s−	PROPN
ejpam-6884	427	3	τq	τq	NUM
ejpam-6884	427	4	)	)	PUNCT
ejpam-6884	427	5	(	(	PUNCT
ejpam-6884	427	6	τq	τq	ADP
ejpam-6884	427	7	−	−	PROPN
ejpam-6884	427	8	τq−1	τq−1	NOUN
ejpam-6884	427	9	)	)	PUNCT
ejpam-6884	427	10	τϑ−1	τϑ−1	NUM
ejpam-6884	427	11	q−1	q−1	PROPN
ejpam-6884	427	12	κ2(τq−1	κ2(τq−1	X
ejpam-6884	427	13	,	,	PUNCT
ejpam-6884	427	14	s	s	VERB
ejpam-6884	427	15	q−1	q−1	PROPN
ejpam-6884	427	16	h	h	NOUN
ejpam-6884	427	17	,	,	PUNCT
ejpam-6884	427	18	iq−1	iq−1	NOUN
ejpam-6884	427	19	h	h	NOUN
ejpam-6884	427	20	,	,	PUNCT
ejpam-6884	427	21	t	t	PROPN
ejpam-6884	428	1	q−1	q−1	PROPN
ejpam-6884	428	2	h	h	NOUN
ejpam-6884	428	3	,	,	PUNCT
ejpam-6884	428	4	rq−1	rq−1	PROPN
ejpam-6884	428	5	h	h	NOUN
ejpam-6884	428	6	,	,	PUNCT
ejpam-6884	429	1	p	p	PROPN
ejpam-6884	429	2	q−1	q−1	PROPN
ejpam-6884	429	3	h	h	NOUN
ejpam-6884	429	4	,	,	PUNCT
ejpam-6884	429	5	sq−1	sq−1	PROPN
ejpam-6884	429	6	a	a	PRON
ejpam-6884	429	7	,	,	PUNCT
ejpam-6884	429	8	iq−1	iq−1	X
ejpam-6884	429	9	a	a	X
ejpam-6884	429	10	,	,	PUNCT
ejpam-6884	429	11	rq−1	rq−1	PROPN
ejpam-6884	429	12	a	a	PRON
ejpam-6884	429	13	)	)	PUNCT
ejpam-6884	429	14	uq(s	uq(s	NOUN
ejpam-6884	429	15	)	)	PUNCT
ejpam-6884	429	16	=	=	SYM
ejpam-6884	429	17	(	(	PUNCT
ejpam-6884	429	18	s−	s−	PROPN
ejpam-6884	429	19	τq−1	τq−1	PROPN
ejpam-6884	429	20	)	)	PUNCT
ejpam-6884	429	21	(	(	PUNCT
ejpam-6884	429	22	τq	τq	ADP
ejpam-6884	429	23	−	−	PROPN
ejpam-6884	429	24	τq−1	τq−1	NOUN
ejpam-6884	429	25	)	)	PUNCT
ejpam-6884	429	26	τϑ−1	τϑ−1	NOUN
ejpam-6884	429	27	q	q	X
ejpam-6884	429	28	κ3(τq	κ3(τq	PROPN
ejpam-6884	429	29	,	,	PUNCT
ejpam-6884	429	30	s	s	VERB
ejpam-6884	429	31	q	q	ADJ
ejpam-6884	429	32	h	h	NOUN
ejpam-6884	429	33	,	,	PUNCT
ejpam-6884	430	1	i	i	PRON
ejpam-6884	430	2	q	q	PROPN
ejpam-6884	430	3	h	h	NOUN
ejpam-6884	430	4	,	,	PUNCT
ejpam-6884	430	5	t	t	PROPN
ejpam-6884	430	6	q	q	PROPN
ejpam-6884	430	7	h	h	NOUN
ejpam-6884	430	8	,	,	PUNCT
ejpam-6884	430	9	r	r	NOUN
ejpam-6884	430	10	q	q	NOUN
ejpam-6884	430	11	h	h	NOUN
ejpam-6884	430	12	,	,	PUNCT
ejpam-6884	430	13	p	p	PRON
ejpam-6884	430	14	q	q	PROPN
ejpam-6884	430	15	h	h	NOUN
ejpam-6884	430	16	,	,	PUNCT
ejpam-6884	430	17	s	s	VERB
ejpam-6884	430	18	q	q	NOUN
ejpam-6884	430	19	a	a	PROPN
ejpam-6884	430	20	,	,	PUNCT
ejpam-6884	431	1	i	i	PRON
ejpam-6884	431	2	q	q	VERB
ejpam-6884	431	3	a	a	X
ejpam-6884	431	4	,	,	PUNCT
ejpam-6884	432	1	r	r	NOUN
ejpam-6884	432	2	q	q	NOUN
ejpam-6884	432	3	a	a	NOUN
ejpam-6884	432	4	)	)	PUNCT
ejpam-6884	432	5	−	−	PROPN
ejpam-6884	433	1	(	(	PUNCT
ejpam-6884	433	2	s−	s−	PROPN
ejpam-6884	433	3	τq	τq	NUM
ejpam-6884	433	4	)	)	PUNCT
ejpam-6884	433	5	(	(	PUNCT
ejpam-6884	433	6	τq	τq	ADP
ejpam-6884	433	7	−	−	PROPN
ejpam-6884	433	8	τq−1	τq−1	NOUN
ejpam-6884	433	9	)	)	PUNCT
ejpam-6884	433	10	τϑ−1	τϑ−1	NOUN
ejpam-6884	433	11	q−1	q−1	PROPN
ejpam-6884	433	12	κ3(τq−1	κ3(τq−1	PROPN
ejpam-6884	433	13	,	,	PUNCT
ejpam-6884	433	14	s	s	VERB
ejpam-6884	433	15	q−1	q−1	PROPN
ejpam-6884	433	16	h	h	NOUN
ejpam-6884	433	17	,	,	PUNCT
ejpam-6884	433	18	iq−1	iq−1	NOUN
ejpam-6884	433	19	h	h	NOUN
ejpam-6884	433	20	,	,	PUNCT
ejpam-6884	433	21	t	t	PROPN
ejpam-6884	434	1	q−1	q−1	PROPN
ejpam-6884	434	2	h	h	NOUN
ejpam-6884	434	3	,	,	PUNCT
ejpam-6884	434	4	rq−1	rq−1	PROPN
ejpam-6884	434	5	h	h	NOUN
ejpam-6884	434	6	,	,	PUNCT
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ejpam-6884	435	4	,	,	PUNCT
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ejpam-6884	435	7	,	,	PUNCT
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ejpam-6884	435	10	,	,	PUNCT
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ejpam-6884	435	13	)	)	PUNCT
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ejpam-6884	435	15	)	)	PUNCT
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ejpam-6884	435	19	τq−1	τq−1	PROPN
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ejpam-6884	435	24	τq−1	τq−1	NOUN
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ejpam-6884	438	8	τq−1	τq−1	NOUN
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ejpam-6884	439	1	κ4(τq−1	κ4(τq−1	PROPN
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ejpam-6884	439	13	,	,	PUNCT
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ejpam-6884	440	2	q−1	q−1	PROPN
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ejpam-6884	440	4	,	,	PUNCT
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ejpam-6884	440	7	,	,	PUNCT
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ejpam-6884	440	9	a	a	X
ejpam-6884	440	10	,	,	PUNCT
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ejpam-6884	440	12	a	a	PRON
ejpam-6884	440	13	)	)	PUNCT
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ejpam-6884	440	15	)	)	PUNCT
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ejpam-6884	440	19	τq−1	τq−1	PROPN
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ejpam-6884	440	22	τq	τq	ADP
ejpam-6884	440	23	−	−	PROPN
ejpam-6884	440	24	τq−1	τq−1	NOUN
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ejpam-6884	441	4	,	,	PUNCT
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ejpam-6884	442	3	a	a	NOUN
ejpam-6884	442	4	)	)	PUNCT
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ejpam-6884	443	1	(	(	PUNCT
ejpam-6884	443	2	s−	s−	PROPN
ejpam-6884	443	3	τq	τq	NUM
ejpam-6884	443	4	)	)	PUNCT
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ejpam-6884	443	6	τq	τq	ADP
ejpam-6884	443	7	−	−	PROPN
ejpam-6884	443	8	τq−1	τq−1	NOUN
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ejpam-6884	443	10	τϑ−1	τϑ−1	NOUN
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ejpam-6884	443	12	κ5(τq−1	κ5(τq−1	PROPN
ejpam-6884	443	13	,	,	PUNCT
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ejpam-6884	444	3	,	,	PUNCT
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ejpam-6884	445	4	,	,	PUNCT
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ejpam-6884	445	7	,	,	PUNCT
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ejpam-6884	445	9	a	a	X
ejpam-6884	445	10	,	,	PUNCT
ejpam-6884	445	11	rq−1	rq−1	PROPN
ejpam-6884	445	12	a	a	PRON
ejpam-6884	445	13	)	)	PUNCT
ejpam-6884	445	14	xq(s	xq(s	NUM
ejpam-6884	445	15	)	)	PUNCT
ejpam-6884	446	1	=	=	PRON
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ejpam-6884	446	4	τq−1	τq−1	PROPN
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ejpam-6884	446	7	τq	τq	ADP
ejpam-6884	446	8	−	−	PROPN
ejpam-6884	446	9	τq−1	τq−1	NOUN
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ejpam-6884	446	12	q	q	X
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ejpam-6884	446	24	q	q	PROPN
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ejpam-6884	446	28	q	q	NOUN
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ejpam-6884	446	36	q	q	NOUN
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ejpam-6884	446	38	,	,	PUNCT
ejpam-6884	447	1	i	i	PRON
ejpam-6884	447	2	q	q	VERB
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ejpam-6884	447	4	,	,	PUNCT
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ejpam-6884	448	2	q	q	NOUN
ejpam-6884	448	3	a	a	NOUN
ejpam-6884	448	4	)	)	PUNCT
ejpam-6884	448	5	−	−	PROPN
ejpam-6884	449	1	(	(	PUNCT
ejpam-6884	449	2	s−	s−	PROPN
ejpam-6884	449	3	τq	τq	NUM
ejpam-6884	449	4	)	)	PUNCT
ejpam-6884	449	5	(	(	PUNCT
ejpam-6884	449	6	τq	τq	ADP
ejpam-6884	449	7	−	−	PROPN
ejpam-6884	449	8	τq−1	τq−1	NOUN
ejpam-6884	449	9	)	)	PUNCT
ejpam-6884	449	10	τϑ−1	τϑ−1	NOUN
ejpam-6884	449	11	q−1	q−1	PROPN
ejpam-6884	449	12	κ6(τq−1	κ6(τq−1	PROPN
ejpam-6884	449	13	,	,	PUNCT
ejpam-6884	449	14	s	s	VERB
ejpam-6884	449	15	q−1	q−1	PROPN
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ejpam-6884	449	17	,	,	PUNCT
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ejpam-6884	449	19	h	h	NOUN
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ejpam-6884	449	21	t	t	PROPN
ejpam-6884	450	1	q−1	q−1	PROPN
ejpam-6884	450	2	h	h	NOUN
ejpam-6884	450	3	,	,	PUNCT
ejpam-6884	450	4	rq−1	rq−1	PROPN
ejpam-6884	450	5	h	h	NOUN
ejpam-6884	450	6	,	,	PUNCT
ejpam-6884	451	1	p	p	PROPN
ejpam-6884	451	2	q−1	q−1	PROPN
ejpam-6884	451	3	h	h	NOUN
ejpam-6884	451	4	,	,	PUNCT
ejpam-6884	451	5	sq−1	sq−1	PROPN
ejpam-6884	451	6	a	a	PRON
ejpam-6884	451	7	,	,	PUNCT
ejpam-6884	451	8	iq−1	iq−1	X
ejpam-6884	451	9	a	a	X
ejpam-6884	451	10	,	,	PUNCT
ejpam-6884	451	11	rq−1	rq−1	PROPN
ejpam-6884	451	12	a	a	PRON
ejpam-6884	451	13	)	)	PUNCT
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ejpam-6884	451	15	)	)	PUNCT
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ejpam-6884	451	18	s−	s−	PROPN
ejpam-6884	451	19	τq−1	τq−1	PROPN
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ejpam-6884	451	21	(	(	PUNCT
ejpam-6884	451	22	τq	τq	ADP
ejpam-6884	451	23	−	−	PROPN
ejpam-6884	451	24	τq−1	τq−1	NOUN
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ejpam-6884	451	26	τϑ−1	τϑ−1	NOUN
ejpam-6884	451	27	q	q	PUNCT
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ejpam-6884	452	4	,	,	PUNCT
ejpam-6884	452	5	t	t	PROPN
ejpam-6884	452	6	q	q	PROPN
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ejpam-6884	452	8	,	,	PUNCT
ejpam-6884	452	9	r	r	NOUN
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ejpam-6884	452	12	,	,	PUNCT
ejpam-6884	452	13	p	p	PRON
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ejpam-6884	452	16	,	,	PUNCT
ejpam-6884	452	17	s	s	VERB
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ejpam-6884	452	20	,	,	PUNCT
ejpam-6884	453	1	i	i	PRON
ejpam-6884	453	2	q	q	VERB
ejpam-6884	453	3	a	a	X
ejpam-6884	453	4	,	,	PUNCT
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ejpam-6884	454	2	q	q	NOUN
ejpam-6884	454	3	a	a	NOUN
ejpam-6884	454	4	)	)	PUNCT
ejpam-6884	454	5	−	−	PROPN
ejpam-6884	455	1	(	(	PUNCT
ejpam-6884	455	2	s−	s−	PROPN
ejpam-6884	455	3	τq	τq	NUM
ejpam-6884	455	4	)	)	PUNCT
ejpam-6884	455	5	(	(	PUNCT
ejpam-6884	455	6	τq	τq	ADP
ejpam-6884	455	7	−	−	PROPN
ejpam-6884	455	8	τq−1	τq−1	NOUN
ejpam-6884	455	9	)	)	PUNCT
ejpam-6884	455	10	τϑ−1	τϑ−1	NOUN
ejpam-6884	455	11	q−1	q−1	PROPN
ejpam-6884	455	12	κ7(τq−1	κ7(τq−1	PRON
ejpam-6884	455	13	,	,	PUNCT
ejpam-6884	455	14	s	s	VERB
ejpam-6884	455	15	q−1	q−1	PROPN
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ejpam-6884	455	17	,	,	PUNCT
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ejpam-6884	455	19	h	h	NOUN
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ejpam-6884	456	3	,	,	PUNCT
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ejpam-6884	456	5	h	h	NOUN
ejpam-6884	456	6	,	,	PUNCT
ejpam-6884	457	1	p	p	PROPN
ejpam-6884	457	2	q−1	q−1	PROPN
ejpam-6884	457	3	h	h	NOUN
ejpam-6884	457	4	,	,	PUNCT
ejpam-6884	457	5	sq−1	sq−1	PROPN
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ejpam-6884	457	7	,	,	PUNCT
ejpam-6884	457	8	iq−1	iq−1	X
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ejpam-6884	457	10	,	,	PUNCT
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ejpam-6884	457	12	a	a	PRON
ejpam-6884	457	13	)	)	PUNCT
ejpam-6884	457	14	zq(s	zq(s	NUM
ejpam-6884	457	15	)	)	PUNCT
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ejpam-6884	457	18	s−	s−	PROPN
ejpam-6884	457	19	τq−1	τq−1	PROPN
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ejpam-6884	457	21	(	(	PUNCT
ejpam-6884	457	22	τq	τq	ADP
ejpam-6884	457	23	−	−	PROPN
ejpam-6884	457	24	τq−1	τq−1	NOUN
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ejpam-6884	457	26	τϑ−1	τϑ−1	NOUN
ejpam-6884	457	27	q	q	PUNCT
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ejpam-6884	458	5	t	t	PROPN
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ejpam-6884	458	8	,	,	PUNCT
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ejpam-6884	464	25	9	9	NUM
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ejpam-6884	527	11	(	(	PUNCT
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ejpam-6884	527	13	1−	1−	NUM
ejpam-6884	527	14	q)η(d−	q)η(d−	SYM
ejpam-6884	527	15	q	q	PROPN
ejpam-6884	528	1	+	+	NUM
ejpam-6884	528	2	2	2	NUM
ejpam-6884	528	3	+	+	CCONJ
ejpam-6884	528	4	η)−	η)−	PROPN
ejpam-6884	528	5	(	(	PUNCT
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ejpam-6884	528	7	q)(2	q)(2	NOUN
ejpam-6884	528	8	+	+	NUM
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ejpam-6884	528	10	+	+	CCONJ
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ejpam-6884	530	4	κ5(τq−1	κ5(τq−1	PROPN
ejpam-6884	530	5	,	,	PUNCT
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ejpam-6884	531	3	,	,	PUNCT
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ejpam-6884	532	7	,	,	PUNCT
ejpam-6884	532	8	iq−1	iq−1	X
ejpam-6884	532	9	a	a	X
ejpam-6884	532	10	,	,	PUNCT
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ejpam-6884	532	12	a	a	PRON
ejpam-6884	532	13	)	)	PUNCT
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ejpam-6884	532	15	(	(	PUNCT
ejpam-6884	532	16	(	(	PUNCT
ejpam-6884	532	17	d+	d+	X
ejpam-6884	532	18	1−	1−	NUM
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ejpam-6884	532	20	−	−	PROPN
ejpam-6884	532	21	(	(	PUNCT
ejpam-6884	532	22	d−	d−	PROPN
ejpam-6884	532	23	q)η	q)η	X
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ejpam-6884	532	25	(	(	PUNCT
ejpam-6884	532	26	1	1	NUM
ejpam-6884	532	27	+	+	NUM
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ejpam-6884	532	29	+	+	CCONJ
ejpam-6884	532	30	d−	d−	PROPN
ejpam-6884	532	31	q	q	NOUN
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ejpam-6884	533	2	10	10	NUM
ejpam-6884	533	3	)	)	PUNCT
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ejpam-6884	534	23	,	,	PUNCT
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ejpam-6884	536	19	a	a	PROPN
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ejpam-6884	537	3	,	,	PUNCT
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ejpam-6884	537	6	a	a	NOUN
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ejpam-6884	538	1	+	+	CCONJ
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ejpam-6884	538	4	+	+	X
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ejpam-6884	538	8	d∑	d∑	INTJ
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ejpam-6884	541	10	(	(	PUNCT
ejpam-6884	541	11	(	(	PUNCT
ejpam-6884	541	12	d+	d+	NOUN
ejpam-6884	541	13	1−	1−	NUM
ejpam-6884	541	14	q)η(d−	q)η(d−	SYM
ejpam-6884	541	15	q	q	PROPN
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ejpam-6884	542	2	2	2	NUM
ejpam-6884	542	3	+	+	CCONJ
ejpam-6884	542	4	η)−	η)−	PROPN
ejpam-6884	542	5	(	(	PUNCT
ejpam-6884	542	6	d−	d−	PROPN
ejpam-6884	542	7	q)(2	q)(2	NOUN
ejpam-6884	542	8	+	+	NUM
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ejpam-6884	542	10	+	+	CCONJ
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ejpam-6884	544	5	,	,	PUNCT
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ejpam-6884	546	12	a	a	PRON
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ejpam-6884	546	15	(	(	PUNCT
ejpam-6884	546	16	(	(	PUNCT
ejpam-6884	546	17	d+	d+	X
ejpam-6884	546	18	1−	1−	NUM
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ejpam-6884	546	21	(	(	PUNCT
ejpam-6884	546	22	d−	d−	PROPN
ejpam-6884	546	23	q)η	q)η	X
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ejpam-6884	546	29	+	+	CCONJ
ejpam-6884	546	30	d−	d−	PROPN
ejpam-6884	546	31	q	q	NOUN
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ejpam-6884	547	2	a	a	DET
ejpam-6884	547	3	=	=	SYM
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ejpam-6884	547	5	,	,	PUNCT
ejpam-6884	547	6	γ	γ	NOUN
ejpam-6884	547	7	)	)	PUNCT
ejpam-6884	547	8	+	+	PUNCT
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ejpam-6884	548	4	1−	1−	NUM
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ejpam-6884	548	7	ab(η	ab(η	X
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ejpam-6884	548	10	κ7(τd	κ7(τd	PROPN
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ejpam-6884	551	1	+	+	CCONJ
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ejpam-6884	551	4	+	+	X
ejpam-6884	551	5	2⌉ab(η	2⌉ab(η	NUM
ejpam-6884	551	6	)	)	PUNCT
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ejpam-6884	551	8	d∑	d∑	INTJ
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ejpam-6884	553	3	q	q	PUNCT
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ejpam-6884	553	29	,	,	PUNCT
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ejpam-6884	554	7	a	a	NOUN
ejpam-6884	554	8	)	)	PUNCT
ejpam-6884	554	9	×	×	NOUN
ejpam-6884	554	10	(	(	PUNCT
ejpam-6884	554	11	(	(	PUNCT
ejpam-6884	554	12	d+	d+	NOUN
ejpam-6884	554	13	1−	1−	NUM
ejpam-6884	554	14	q)η(d−	q)η(d−	SYM
ejpam-6884	554	15	q	q	PROPN
ejpam-6884	555	1	+	+	NUM
ejpam-6884	555	2	2	2	NUM
ejpam-6884	555	3	+	+	CCONJ
ejpam-6884	555	4	η)−	η)−	PROPN
ejpam-6884	555	5	(	(	PUNCT
ejpam-6884	555	6	d−	d−	PROPN
ejpam-6884	555	7	q)(2	q)(2	NOUN
ejpam-6884	555	8	+	+	NUM
ejpam-6884	555	9	2η	2η	PROPN
ejpam-6884	555	10	+	+	CCONJ
ejpam-6884	555	11	d−	d−	PROPN
ejpam-6884	555	12	q	q	NOUN
ejpam-6884	555	13	)	)	PUNCT
ejpam-6884	555	14	)	)	PUNCT
ejpam-6884	556	1	−	−	PROPN
ejpam-6884	557	1	τϑ−1	τϑ−1	NOUN
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ejpam-6884	557	3	×	×	NOUN
ejpam-6884	557	4	κ7(τq−1	κ7(τq−1	PRON
ejpam-6884	557	5	,	,	PUNCT
ejpam-6884	557	6	s	s	VERB
ejpam-6884	557	7	q−1	q−1	PROPN
ejpam-6884	557	8	h	h	NOUN
ejpam-6884	557	9	,	,	PUNCT
ejpam-6884	557	10	iq−1	iq−1	NOUN
ejpam-6884	557	11	h	h	NOUN
ejpam-6884	557	12	,	,	PUNCT
ejpam-6884	557	13	t	t	PROPN
ejpam-6884	557	14	q−1	q−1	PROPN
ejpam-6884	557	15	h	h	NOUN
ejpam-6884	557	16	,	,	PUNCT
ejpam-6884	557	17	rq−1	rq−1	PROPN
ejpam-6884	557	18	h	h	NOUN
ejpam-6884	557	19	,	,	PUNCT
ejpam-6884	557	20	p	p	PROPN
ejpam-6884	557	21	q−1	q−1	PROPN
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ejpam-6884	557	23	,	,	PUNCT
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ejpam-6884	557	25	a	a	PRON
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ejpam-6884	557	28	a	a	X
ejpam-6884	557	29	,	,	PUNCT
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ejpam-6884	557	31	a	a	DET
ejpam-6884	557	32	)	)	PUNCT
ejpam-6884	557	33	×	×	NOUN
ejpam-6884	557	34	(	(	PUNCT
ejpam-6884	557	35	(	(	PUNCT
ejpam-6884	557	36	d+	d+	X
ejpam-6884	557	37	1−	1−	NUM
ejpam-6884	557	38	q)η+1	q)η+1	NOUN
ejpam-6884	557	39	−	−	PROPN
ejpam-6884	557	40	(	(	PUNCT
ejpam-6884	557	41	d−	d−	PROPN
ejpam-6884	557	42	q)η	q)η	X
ejpam-6884	557	43	×	×	NOUN
ejpam-6884	557	44	(	(	PUNCT
ejpam-6884	557	45	1	1	NUM
ejpam-6884	557	46	+	+	NUM
ejpam-6884	557	47	η	η	PROPN
ejpam-6884	557	48	+	+	CCONJ
ejpam-6884	557	49	d−	d−	PROPN
ejpam-6884	557	50	q	q	NOUN
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ejpam-6884	557	52	)	)	PUNCT
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ejpam-6884	557	54	.	.	PUNCT
ejpam-6884	558	1	rd+1	rd+1	VERB
ejpam-6884	558	2	a	a	DET
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ejpam-6884	558	4	r̃a(0	r̃a(0	PROPN
ejpam-6884	558	5	,	,	PUNCT
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ejpam-6884	558	7	)	)	PUNCT
ejpam-6884	558	8	+	+	PUNCT
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ejpam-6884	559	2	d	d	PROPN
ejpam-6884	559	3	(	(	PUNCT
ejpam-6884	559	4	1−	1−	NUM
ejpam-6884	559	5	η	η	NOUN
ejpam-6884	559	6	)	)	PUNCT
ejpam-6884	559	7	ab(η	ab(η	X
ejpam-6884	559	8	)	)	PUNCT
ejpam-6884	559	9	×	×	PROPN
ejpam-6884	559	10	κ8(τd	κ8(τd	PROPN
ejpam-6884	559	11	,	,	PUNCT
ejpam-6884	559	12	s	s	PART
ejpam-6884	559	13	d	d	NOUN
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ejpam-6884	559	15	,	,	PUNCT
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ejpam-6884	560	3	h	h	NOUN
ejpam-6884	560	4	,	,	PUNCT
ejpam-6884	560	5	t	t	PROPN
ejpam-6884	560	6	d	d	NOUN
ejpam-6884	560	7	h	h	NOUN
ejpam-6884	560	8	,	,	PUNCT
ejpam-6884	560	9	r	r	NOUN
ejpam-6884	560	10	d	d	PROPN
ejpam-6884	560	11	h	h	NOUN
ejpam-6884	560	12	,	,	PUNCT
ejpam-6884	560	13	p	p	PROPN
ejpam-6884	560	14	d	d	X
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ejpam-6884	560	17	s	s	PROPN
ejpam-6884	560	18	d	d	X
ejpam-6884	560	19	a	a	PROPN
ejpam-6884	560	20	,	,	PUNCT
ejpam-6884	560	21	i	i	PROPN
ejpam-6884	561	1	d	d	X
ejpam-6884	561	2	a	a	X
ejpam-6884	561	3	,	,	PUNCT
ejpam-6884	561	4	r	r	NOUN
ejpam-6884	561	5	d	d	NOUN
ejpam-6884	561	6	a	a	NOUN
ejpam-6884	561	7	)	)	PUNCT
ejpam-6884	562	1	+	+	CCONJ
ejpam-6884	562	2	ϑ(δτ)η	ϑ(δτ)η	ADP
ejpam-6884	562	3	⌈η	⌈η	NOUN
ejpam-6884	562	4	+	+	X
ejpam-6884	562	5	2⌉ab(η	2⌉ab(η	NUM
ejpam-6884	562	6	)	)	PUNCT
ejpam-6884	562	7	×	×	NOUN
ejpam-6884	562	8	d∑	d∑	INTJ
ejpam-6884	563	1	q=0	q=0	NOUN
ejpam-6884	564	1	[	[	PUNCT
ejpam-6884	564	2	τϑ−1	τϑ−1	NOUN
ejpam-6884	564	3	q	q	PUNCT
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ejpam-6884	564	5	,	,	PUNCT
ejpam-6884	564	6	s	s	VERB
ejpam-6884	564	7	q	q	ADJ
ejpam-6884	564	8	h	h	NOUN
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ejpam-6884	564	10	i	i	PRON
ejpam-6884	564	11	q	q	PROPN
ejpam-6884	564	12	h	h	NOUN
ejpam-6884	564	13	,	,	PUNCT
ejpam-6884	564	14	t	t	PROPN
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ejpam-6884	564	18	r	r	NOUN
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ejpam-6884	564	20	h	h	NOUN
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ejpam-6884	564	22	p	p	PRON
ejpam-6884	564	23	q	q	PROPN
ejpam-6884	564	24	h	h	NOUN
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ejpam-6884	564	26	s	s	VERB
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ejpam-6884	565	3	a	a	X
ejpam-6884	565	4	,	,	PUNCT
ejpam-6884	565	5	r	r	NOUN
ejpam-6884	565	6	q	q	NOUN
ejpam-6884	565	7	a	a	NOUN
ejpam-6884	565	8	)	)	PUNCT
ejpam-6884	565	9	×	×	NOUN
ejpam-6884	565	10	(	(	PUNCT
ejpam-6884	565	11	(	(	PUNCT
ejpam-6884	565	12	d+	d+	NOUN
ejpam-6884	565	13	1−	1−	NUM
ejpam-6884	565	14	q)η(d−	q)η(d−	SYM
ejpam-6884	565	15	q	q	PROPN
ejpam-6884	566	1	+	+	NUM
ejpam-6884	566	2	2	2	NUM
ejpam-6884	566	3	+	+	CCONJ
ejpam-6884	566	4	η)−	η)−	PROPN
ejpam-6884	566	5	(	(	PUNCT
ejpam-6884	566	6	d−	d−	PROPN
ejpam-6884	566	7	q)(2	q)(2	NOUN
ejpam-6884	566	8	+	+	NUM
ejpam-6884	566	9	2η	2η	PROPN
ejpam-6884	566	10	+	+	CCONJ
ejpam-6884	566	11	d−	d−	PROPN
ejpam-6884	566	12	q	q	NOUN
ejpam-6884	566	13	)	)	PUNCT
ejpam-6884	566	14	)	)	PUNCT
ejpam-6884	567	1	−	−	PROPN
ejpam-6884	568	1	τϑ−1	τϑ−1	NOUN
ejpam-6884	568	2	q−1	q−1	PROPN
ejpam-6884	568	3	×	×	PROPN
ejpam-6884	568	4	κ8(τq−1	κ8(τq−1	PROPN
ejpam-6884	568	5	,	,	PUNCT
ejpam-6884	568	6	s	s	PART
ejpam-6884	568	7	q−1	q−1	PROPN
ejpam-6884	568	8	h	h	NOUN
ejpam-6884	568	9	,	,	PUNCT
ejpam-6884	568	10	iq−1	iq−1	NOUN
ejpam-6884	568	11	h	h	NOUN
ejpam-6884	568	12	,	,	PUNCT
ejpam-6884	568	13	t	t	PROPN
ejpam-6884	568	14	q−1	q−1	PROPN
ejpam-6884	568	15	h	h	NOUN
ejpam-6884	568	16	,	,	PUNCT
ejpam-6884	568	17	rq−1	rq−1	PROPN
ejpam-6884	568	18	h	h	NOUN
ejpam-6884	568	19	,	,	PUNCT
ejpam-6884	568	20	p	p	PROPN
ejpam-6884	568	21	q−1	q−1	PROPN
ejpam-6884	568	22	h	h	NOUN
ejpam-6884	568	23	,	,	PUNCT
ejpam-6884	568	24	sq−1	sq−1	PROPN
ejpam-6884	568	25	a	a	PRON
ejpam-6884	568	26	,	,	PUNCT
ejpam-6884	568	27	iq−1	iq−1	X
ejpam-6884	568	28	a	a	X
ejpam-6884	568	29	,	,	PUNCT
ejpam-6884	568	30	rq−1	rq−1	PROPN
ejpam-6884	568	31	a	a	DET
ejpam-6884	568	32	)	)	PUNCT
ejpam-6884	568	33	×	×	NOUN
ejpam-6884	568	34	(	(	PUNCT
ejpam-6884	568	35	(	(	PUNCT
ejpam-6884	568	36	d+	d+	X
ejpam-6884	568	37	1−	1−	NUM
ejpam-6884	568	38	q)η+1	q)η+1	NOUN
ejpam-6884	568	39	−	−	PROPN
ejpam-6884	568	40	(	(	PUNCT
ejpam-6884	568	41	d−	d−	PROPN
ejpam-6884	568	42	q)η	q)η	X
ejpam-6884	568	43	×	×	NOUN
ejpam-6884	568	44	(	(	PUNCT
ejpam-6884	568	45	1	1	NUM
ejpam-6884	568	46	+	+	NUM
ejpam-6884	568	47	η	η	PROPN
ejpam-6884	568	48	+	+	CCONJ
ejpam-6884	568	49	d−	d−	PROPN
ejpam-6884	568	50	q	q	NOUN
ejpam-6884	568	51	)	)	PUNCT
ejpam-6884	568	52	)	)	PUNCT
ejpam-6884	568	53	]	]	PUNCT
ejpam-6884	568	54	.	.	PUNCT
ejpam-6884	569	1	7	7	X
ejpam-6884	569	2	.	.	X
ejpam-6884	569	3	results	result	NOUN
ejpam-6884	569	4	and	and	CCONJ
ejpam-6884	569	5	discussion	discussion	NOUN
ejpam-6884	569	6	the	the	DET
ejpam-6884	569	7	numerical	numerical	ADJ
ejpam-6884	569	8	solutions	solution	NOUN
ejpam-6884	569	9	given	give	VERB
ejpam-6884	569	10	in	in	ADP
ejpam-6884	569	11	this	this	DET
ejpam-6884	569	12	research	research	NOUN
ejpam-6884	569	13	provide	provide	VERB
ejpam-6884	569	14	valuable	valuable	ADJ
ejpam-6884	569	15	insights	insight	NOUN
ejpam-6884	569	16	into	into	ADP
ejpam-6884	569	17	the	the	DET
ejpam-6884	569	18	transmission	transmission	NOUN
ejpam-6884	569	19	dynamics	dynamic	NOUN
ejpam-6884	569	20	of	of	ADP
ejpam-6884	569	21	monkeypox	monkeypox	NOUN
ejpam-6884	569	22	under	under	ADP
ejpam-6884	569	23	fuzzy	fuzzy	ADJ
ejpam-6884	569	24	uncertainty	uncertainty	NOUN
ejpam-6884	569	25	and	and	CCONJ
ejpam-6884	569	26	fractional	fractional	ADJ
ejpam-6884	569	27	-	-	PUNCT
ejpam-6884	569	28	order	order	NOUN
ejpam-6884	569	29	modelling	modelling	NOUN
ejpam-6884	569	30	.	.	PUNCT
ejpam-6884	570	1	use	use	NOUN
ejpam-6884	570	2	of	of	ADP
ejpam-6884	570	3	the	the	DET
ejpam-6884	570	4	fractal	fractal	ADJ
ejpam-6884	570	5	–	–	PUNCT
ejpam-6884	570	6	fractional	fractional	ADJ
ejpam-6884	570	7	method	method	NOUN
ejpam-6884	570	8	in	in	ADP
ejpam-6884	570	9	solving	solve	VERB
ejpam-6884	570	10	the	the	DET
ejpam-6884	570	11	derived	derive	VERB
ejpam-6884	570	12	system	system	NOUN
ejpam-6884	570	13	,	,	PUNCT
ejpam-6884	570	14	that	that	ADV
ejpam-6884	570	15	is	is	ADV
ejpam-6884	570	16	,	,	PUNCT
ejpam-6884	570	17	equation	equation	NOUN
ejpam-6884	570	18	(	(	PUNCT
ejpam-6884	570	19	10	10	NUM
ejpam-6884	570	20	)	)	PUNCT
ejpam-6884	570	21	,	,	PUNCT
ejpam-6884	570	22	offers	offer	VERB
ejpam-6884	570	23	an	an	DET
ejpam-6884	570	24	efficient	efficient	ADJ
ejpam-6884	570	25	paradigm	paradigm	NOUN
ejpam-6884	570	26	for	for	ADP
ejpam-6884	570	27	the	the	DET
ejpam-6884	570	28	solution	solution	NOUN
ejpam-6884	570	29	of	of	ADP
ejpam-6884	570	30	the	the	DET
ejpam-6884	570	31	fractional	fractional	ADJ
ejpam-6884	570	32	differential	differential	ADJ
ejpam-6884	570	33	equations	equation	NOUN
ejpam-6884	570	34	involved	involve	VERB
ejpam-6884	570	35	in	in	ADP
ejpam-6884	570	36	disease	disease	NOUN
ejpam-6884	570	37	transmission	transmission	NOUN
ejpam-6884	570	38	among	among	ADP
ejpam-6884	570	39	human	human	ADJ
ejpam-6884	570	40	and	and	CCONJ
ejpam-6884	570	41	animal	animal	NOUN
ejpam-6884	570	42	populations	population	NOUN
ejpam-6884	570	43	.	.	PUNCT
ejpam-6884	571	1	utilizing	utilize	VERB
ejpam-6884	571	2	matlab	matlab	PROPN
ejpam-6884	571	3	,	,	PUNCT
ejpam-6884	571	4	the	the	DET
ejpam-6884	571	5	simulations	simulation	NOUN
ejpam-6884	571	6	incorporate	incorporate	VERB
ejpam-6884	571	7	the	the	DET
ejpam-6884	571	8	fuzzified	fuzzified	ADJ
ejpam-6884	571	9	parameters	parameter	NOUN
ejpam-6884	571	10	expressed	express	VERB
ejpam-6884	571	11	through	through	ADP
ejpam-6884	571	12	triangular	triangular	NOUN
ejpam-6884	571	13	fuzzy	fuzzy	ADJ
ejpam-6884	571	14	numbers	number	NOUN
ejpam-6884	571	15	(	(	PUNCT
ejpam-6884	571	16	tfns	tfns	NOUN
ejpam-6884	571	17	)	)	PUNCT
ejpam-6884	571	18	as	as	SCONJ
ejpam-6884	571	19	defined	define	VERB
ejpam-6884	571	20	in	in	ADP
ejpam-6884	571	21	definition	definition	NOUN
ejpam-6884	571	22	2	2	NUM
ejpam-6884	571	23	,	,	PUNCT
ejpam-6884	571	24	providing	provide	VERB
ejpam-6884	571	25	a	a	DET
ejpam-6884	571	26	robust	robust	ADJ
ejpam-6884	571	27	mechanism	mechanism	NOUN
ejpam-6884	571	28	to	to	PART
ejpam-6884	571	29	capture	capture	VERB
ejpam-6884	571	30	the	the	DET
ejpam-6884	571	31	uncertainty	uncertainty	NOUN
ejpam-6884	571	32	inherent	inherent	ADJ
ejpam-6884	571	33	in	in	ADP
ejpam-6884	571	34	real	real	ADJ
ejpam-6884	571	35	-	-	PUNCT
ejpam-6884	571	36	world	world	NOUN
ejpam-6884	571	37	epidemiological	epidemiological	ADJ
ejpam-6884	571	38	data	datum	NOUN
ejpam-6884	571	39	.	.	PUNCT
ejpam-6884	572	1	each	each	DET
ejpam-6884	572	2	parameter	parameter	NOUN
ejpam-6884	572	3	’s	’s	PART
ejpam-6884	572	4	nominal	nominal	ADJ
ejpam-6884	572	5	value	value	NOUN
ejpam-6884	572	6	is	be	AUX
ejpam-6884	572	7	obtained	obtain	VERB
ejpam-6884	572	8	through	through	ADP
ejpam-6884	572	9	the	the	DET
ejpam-6884	572	10	gmiv	gmiv	NOUN
ejpam-6884	572	11	(	(	PUNCT
ejpam-6884	572	12	generalized	generalize	VERB
ejpam-6884	572	13	mean	mean	ADJ
ejpam-6884	572	14	integral	integral	ADJ
ejpam-6884	572	15	value	value	NOUN
ejpam-6884	572	16	)	)	PUNCT
ejpam-6884	572	17	method	method	NOUN
ejpam-6884	572	18	outlined	outline	VERB
ejpam-6884	572	19	in	in	ADP
ejpam-6884	572	20	definition	definition	NOUN
ejpam-6884	572	21	4	4	NUM
ejpam-6884	572	22	,	,	PUNCT
ejpam-6884	572	23	which	which	PRON
ejpam-6884	572	24	facilitates	facilitate	VERB
ejpam-6884	572	25	the	the	DET
ejpam-6884	572	26	analysis	analysis	NOUN
ejpam-6884	572	27	from	from	ADP
ejpam-6884	572	28	three	three	NUM
ejpam-6884	572	29	key	key	ADJ
ejpam-6884	572	30	perspectives	perspective	NOUN
ejpam-6884	572	31	pessimistic	pessimistic	ADJ
ejpam-6884	572	32	(	(	PUNCT
ejpam-6884	572	33	m	m	NOUN
ejpam-6884	572	34	=	=	NOUN
ejpam-6884	572	35	0	0	NUM
ejpam-6884	572	36	)	)	PUNCT
ejpam-6884	572	37	,	,	PUNCT
ejpam-6884	572	38	moderate	moderate	ADJ
ejpam-6884	572	39	(	(	PUNCT
ejpam-6884	572	40	m	m	NOUN
ejpam-6884	572	41	=	=	NUM
ejpam-6884	572	42	0.5	0.5	NUM
ejpam-6884	572	43	)	)	PUNCT
ejpam-6884	572	44	,	,	PUNCT
ejpam-6884	572	45	and	and	CCONJ
ejpam-6884	572	46	optimistic	optimistic	ADJ
ejpam-6884	572	47	(	(	PUNCT
ejpam-6884	572	48	m	m	NOUN
ejpam-6884	572	49	=	=	NOUN
ejpam-6884	572	50	1	1	NUM
ejpam-6884	572	51	)	)	PUNCT
ejpam-6884	572	52	.	.	PUNCT
ejpam-6884	573	1	this	this	DET
ejpam-6884	573	2	methodology	methodology	NOUN
ejpam-6884	573	3	makes	make	VERB
ejpam-6884	573	4	it	it	PRON
ejpam-6884	573	5	possible	possible	ADJ
ejpam-6884	573	6	to	to	PART
ejpam-6884	573	7	gain	gain	VERB
ejpam-6884	573	8	v.	v.	ADP
ejpam-6884	573	9	govindan	govindan	PROPN
ejpam-6884	573	10	et	et	PROPN
ejpam-6884	573	11	al	al	PROPN
ejpam-6884	573	12	.	.	PUNCT
ejpam-6884	573	13	/	/	SYM
ejpam-6884	573	14	eur	eur	PROPN
ejpam-6884	573	15	.	.	PUNCT
ejpam-6884	574	1	j.	j.	PROPN
ejpam-6884	574	2	pure	pure	PROPN
ejpam-6884	574	3	appl	appl	PROPN
ejpam-6884	574	4	.	.	PROPN
ejpam-6884	574	5	math	math	PROPN
ejpam-6884	574	6	,	,	PUNCT
ejpam-6884	574	7	18	18	NUM
ejpam-6884	574	8	(	(	PUNCT
ejpam-6884	574	9	4	4	NUM
ejpam-6884	574	10	)	)	PUNCT
ejpam-6884	574	11	(	(	PUNCT
ejpam-6884	574	12	2025	2025	NUM
ejpam-6884	574	13	)	)	PUNCT
ejpam-6884	574	14	,	,	PUNCT
ejpam-6884	574	15	6884	6884	NUM
ejpam-6884	574	16	20	20	NUM
ejpam-6884	574	17	of	of	ADP
ejpam-6884	574	18	29	29	NUM
ejpam-6884	574	19	deeper	deep	ADJ
ejpam-6884	574	20	insights	insight	NOUN
ejpam-6884	574	21	into	into	ADP
ejpam-6884	574	22	how	how	SCONJ
ejpam-6884	574	23	the	the	DET
ejpam-6884	574	24	model	model	NOUN
ejpam-6884	574	25	outputs	output	NOUN
ejpam-6884	574	26	are	be	AUX
ejpam-6884	574	27	sensitive	sensitive	ADJ
ejpam-6884	574	28	to	to	ADP
ejpam-6884	574	29	different	different	ADJ
ejpam-6884	574	30	levels	level	NOUN
ejpam-6884	574	31	of	of	ADP
ejpam-6884	574	32	optimism	optimism	NOUN
ejpam-6884	574	33	,	,	PUNCT
ejpam-6884	574	34	representing	represent	VERB
ejpam-6884	574	35	different	different	ADJ
ejpam-6884	574	36	levels	level	NOUN
ejpam-6884	574	37	of	of	ADP
ejpam-6884	574	38	information	information	NOUN
ejpam-6884	574	39	available	available	ADJ
ejpam-6884	574	40	within	within	ADP
ejpam-6884	574	41	a	a	DET
ejpam-6884	574	42	vague	vague	ADJ
ejpam-6884	574	43	environment	environment	NOUN
ejpam-6884	574	44	.	.	PUNCT
ejpam-6884	575	1	the	the	DET
ejpam-6884	575	2	parameters	parameter	NOUN
ejpam-6884	575	3	utilized	utilize	VERB
ejpam-6884	575	4	in	in	ADP
ejpam-6884	575	5	the	the	DET
ejpam-6884	575	6	suggested	suggest	VERB
ejpam-6884	575	7	fuzzy	fuzzy	ADJ
ejpam-6884	575	8	fractional	fractional	ADJ
ejpam-6884	575	9	-	-	PUNCT
ejpam-6884	575	10	order	order	NOUN
ejpam-6884	575	11	monkeypox	monkeypox	NOUN
ejpam-6884	575	12	disease	disease	NOUN
ejpam-6884	575	13	transmission	transmission	NOUN
ejpam-6884	575	14	model	model	NOUN
ejpam-6884	575	15	are	be	AUX
ejpam-6884	575	16	presented	present	VERB
ejpam-6884	575	17	in	in	ADP
ejpam-6884	575	18	table	table	NOUN
ejpam-6884	575	19	1	1	NUM
ejpam-6884	575	20	,	,	PUNCT
ejpam-6884	575	21	and	and	CCONJ
ejpam-6884	575	22	the	the	DET
ejpam-6884	575	23	compartmental	compartmental	ADJ
ejpam-6884	575	24	variations	variation	NOUN
ejpam-6884	575	25	in	in	ADP
ejpam-6884	575	26	human	human	ADJ
ejpam-6884	575	27	and	and	CCONJ
ejpam-6884	575	28	animal	animal	NOUN
ejpam-6884	575	29	populations	population	NOUN
ejpam-6884	575	30	for	for	ADP
ejpam-6884	575	31	different	different	ADJ
ejpam-6884	575	32	optimism	optimism	NOUN
ejpam-6884	575	33	levels	level	NOUN
ejpam-6884	575	34	m	m	VERB
ejpam-6884	575	35	=	=	SYM
ejpam-6884	575	36	0	0	NUM
ejpam-6884	575	37	,	,	PUNCT
ejpam-6884	575	38	m	m	VERB
ejpam-6884	575	39	=	=	NOUN
ejpam-6884	575	40	0.5	0.5	NUM
ejpam-6884	575	41	,	,	PUNCT
ejpam-6884	575	42	m	m	VERB
ejpam-6884	575	43	=	=	NOUN
ejpam-6884	575	44	1	1	NUM
ejpam-6884	575	45	using	use	VERB
ejpam-6884	575	46	triangular	triangular	NOUN
ejpam-6884	575	47	fuzzy	fuzzy	ADJ
ejpam-6884	575	48	numbers	number	NOUN
ejpam-6884	575	49	are	be	AUX
ejpam-6884	575	50	shown	show	VERB
ejpam-6884	575	51	in	in	ADP
ejpam-6884	575	52	figure	figure	NOUN
ejpam-6884	575	53	1	1	NUM
ejpam-6884	575	54	.	.	PUNCT
ejpam-6884	575	55	table	table	NOUN
ejpam-6884	575	56	1	1	NUM
ejpam-6884	575	57	:	:	PUNCT
ejpam-6884	575	58	parameter	parameter	NOUN
ejpam-6884	575	59	values	value	NOUN
ejpam-6884	575	60	utilized	utilize	VERB
ejpam-6884	575	61	in	in	ADP
ejpam-6884	575	62	the	the	DET
ejpam-6884	575	63	suggested	suggest	VERB
ejpam-6884	575	64	fuzzy	fuzzy	ADJ
ejpam-6884	575	65	fractional	fractional	ADJ
ejpam-6884	575	66	-	-	PUNCT
ejpam-6884	575	67	order	order	NOUN
ejpam-6884	575	68	monkeypox	monkeypox	NOUN
ejpam-6884	575	69	disease	disease	NOUN
ejpam-6884	575	70	transmission	transmission	NOUN
ejpam-6884	575	71	model	model	NOUN
ejpam-6884	575	72	.	.	PUNCT
ejpam-6884	576	1	parameter	parameter	NOUN
ejpam-6884	576	2	values	value	NOUN
ejpam-6884	576	3	πh	πh	ADP
ejpam-6884	576	4	0.0056	0.0056	NUM
ejpam-6884	576	5	πa	πa	ADP
ejpam-6884	576	6	0.002	0.002	NUM
ejpam-6884	576	7	λh	λh	ADP
ejpam-6884	576	8	0.004	0.004	NUM
ejpam-6884	576	9	ξh	ξh	NOUN
ejpam-6884	576	10	0.094	0.094	NUM
ejpam-6884	576	11	υh	υh	PRON
ejpam-6884	576	12	0.025	0.025	NUM
ejpam-6884	576	13	e1	e1	PROPN
ejpam-6884	576	14	0.02	0.02	NUM
ejpam-6884	576	15	e2	e2	NOUN
ejpam-6884	576	16	0.01	0.01	NUM
ejpam-6884	576	17	δ1	δ1	NOUN
ejpam-6884	576	18	0.005	0.005	NUM
ejpam-6884	576	19	δ2	δ2	VERB
ejpam-6884	576	20	0.001	0.001	NUM
ejpam-6884	576	21	ωh	ωh	NUM
ejpam-6884	576	22	0.04	0.04	NUM
ejpam-6884	576	23	θh	θh	NOUN
ejpam-6884	576	24	0.02	0.02	NUM
ejpam-6884	576	25	λa	λa	NOUN
ejpam-6884	576	26	0.015	0.015	NUM
ejpam-6884	576	27	υa	υa	NUM
ejpam-6884	576	28	0.08	0.08	NUM
ejpam-6884	576	29	µh	µh	NUM
ejpam-6884	576	30	0.5	0.5	NUM
ejpam-6884	576	31	µa	µa	NOUN
ejpam-6884	576	32	0.5	0.5	NUM
ejpam-6884	576	33	da	da	NOUN
ejpam-6884	576	34	0.2	0.2	NUM
ejpam-6884	576	35	v.	v.	ADP
ejpam-6884	576	36	govindan	govindan	PROPN
ejpam-6884	576	37	et	et	PROPN
ejpam-6884	576	38	al	al	PROPN
ejpam-6884	576	39	.	.	PUNCT
ejpam-6884	576	40	/	/	SYM
ejpam-6884	576	41	eur	eur	PROPN
ejpam-6884	576	42	.	.	PUNCT
ejpam-6884	577	1	j.	j.	PROPN
ejpam-6884	577	2	pure	pure	PROPN
ejpam-6884	577	3	appl	appl	PROPN
ejpam-6884	577	4	.	.	PROPN
ejpam-6884	577	5	math	math	PROPN
ejpam-6884	577	6	,	,	PUNCT
ejpam-6884	577	7	18	18	NUM
ejpam-6884	577	8	(	(	PUNCT
ejpam-6884	577	9	4	4	NUM
ejpam-6884	577	10	)	)	PUNCT
ejpam-6884	577	11	(	(	PUNCT
ejpam-6884	577	12	2025	2025	NUM
ejpam-6884	577	13	)	)	PUNCT
ejpam-6884	577	14	,	,	PUNCT
ejpam-6884	577	15	6884	6884	NUM
ejpam-6884	577	16	21	21	NUM
ejpam-6884	577	17	of	of	ADP
ejpam-6884	577	18	29	29	NUM
ejpam-6884	577	19	figure	figure	NOUN
ejpam-6884	577	20	1	1	NUM
ejpam-6884	577	21	:	:	PUNCT
ejpam-6884	577	22	compartmental	compartmental	ADJ
ejpam-6884	577	23	variations	variation	NOUN
ejpam-6884	577	24	in	in	ADP
ejpam-6884	577	25	human	human	ADJ
ejpam-6884	577	26	and	and	CCONJ
ejpam-6884	577	27	animal	animal	NOUN
ejpam-6884	577	28	populations	population	NOUN
ejpam-6884	577	29	for	for	ADP
ejpam-6884	577	30	different	different	ADJ
ejpam-6884	577	31	optimism	optimism	NOUN
ejpam-6884	577	32	levels	level	NOUN
ejpam-6884	577	33	m	m	VERB
ejpam-6884	577	34	=	=	SYM
ejpam-6884	577	35	0,m	0,m	PUNCT
ejpam-6884	578	1	=	=	PUNCT
ejpam-6884	578	2	0.5,m	0.5,m	NOUN
ejpam-6884	579	1	=	=	SYM
ejpam-6884	579	2	1using	1using	NUM
ejpam-6884	579	3	triangular	triangular	NOUN
ejpam-6884	579	4	fuzzy	fuzzy	ADJ
ejpam-6884	579	5	numbers	number	NOUN
ejpam-6884	579	6	.	.	PUNCT
ejpam-6884	580	1	figure	figure	NOUN
ejpam-6884	580	2	2	2	NUM
ejpam-6884	580	3	explores	explore	NOUN
ejpam-6884	580	4	the	the	DET
ejpam-6884	580	5	influence	influence	NOUN
ejpam-6884	580	6	of	of	ADP
ejpam-6884	580	7	varying	vary	VERB
ejpam-6884	580	8	fractal	fractal	ADJ
ejpam-6884	580	9	dimensions	dimension	NOUN
ejpam-6884	580	10	,	,	PUNCT
ejpam-6884	580	11	which	which	PRON
ejpam-6884	580	12	represent	represent	VERB
ejpam-6884	580	13	the	the	DET
ejpam-6884	580	14	environmental	environmental	ADJ
ejpam-6884	580	15	complexity	complexity	NOUN
ejpam-6884	580	16	and	and	CCONJ
ejpam-6884	580	17	irregular	irregular	ADJ
ejpam-6884	580	18	spatial	spatial	ADJ
ejpam-6884	580	19	structures	structure	NOUN
ejpam-6884	580	20	impacting	impact	VERB
ejpam-6884	580	21	disease	disease	NOUN
ejpam-6884	580	22	spread	spread	VERB
ejpam-6884	580	23	.	.	PUNCT
ejpam-6884	581	1	in	in	ADP
ejpam-6884	581	2	the	the	DET
ejpam-6884	581	3	human	human	ADJ
ejpam-6884	581	4	compartments	compartment	NOUN
ejpam-6884	581	5	,	,	PUNCT
ejpam-6884	581	6	the	the	DET
ejpam-6884	581	7	susceptible	susceptible	ADJ
ejpam-6884	581	8	population	population	NOUN
ejpam-6884	581	9	shows	show	VERB
ejpam-6884	581	10	a	a	DET
ejpam-6884	581	11	varied	varied	ADJ
ejpam-6884	581	12	depletion	depletion	NOUN
ejpam-6884	581	13	pattern	pattern	NOUN
ejpam-6884	581	14	depending	depend	VERB
ejpam-6884	581	15	on	on	ADP
ejpam-6884	581	16	the	the	DET
ejpam-6884	581	17	fractal	fractal	ADJ
ejpam-6884	581	18	geometry	geometry	NOUN
ejpam-6884	581	19	,	,	PUNCT
ejpam-6884	581	20	with	with	ADP
ejpam-6884	581	21	more	more	ADV
ejpam-6884	581	22	irregular	irregular	ADJ
ejpam-6884	581	23	environments	environment	NOUN
ejpam-6884	581	24	slowing	slow	VERB
ejpam-6884	581	25	down	down	ADP
ejpam-6884	581	26	exposure	exposure	NOUN
ejpam-6884	581	27	.	.	PUNCT
ejpam-6884	582	1	the	the	DET
ejpam-6884	582	2	infected	infected	ADJ
ejpam-6884	582	3	group	group	NOUN
ejpam-6884	582	4	displays	display	NOUN
ejpam-6884	582	5	delayed	delay	VERB
ejpam-6884	582	6	and	and	CCONJ
ejpam-6884	582	7	more	more	ADV
ejpam-6884	582	8	dispersed	disperse	VERB
ejpam-6884	582	9	peaks	peak	NOUN
ejpam-6884	582	10	in	in	ADP
ejpam-6884	582	11	higher	high	ADJ
ejpam-6884	582	12	fractal	fractal	ADJ
ejpam-6884	582	13	dimensions	dimension	NOUN
ejpam-6884	582	14	,	,	PUNCT
ejpam-6884	582	15	highlighting	highlight	VERB
ejpam-6884	582	16	how	how	SCONJ
ejpam-6884	582	17	environmental	environmental	ADJ
ejpam-6884	582	18	complexity	complexity	NOUN
ejpam-6884	582	19	affects	affect	VERB
ejpam-6884	582	20	contact	contact	NOUN
ejpam-6884	582	21	and	and	CCONJ
ejpam-6884	582	22	transmission	transmission	NOUN
ejpam-6884	582	23	rates	rate	NOUN
ejpam-6884	582	24	.	.	PUNCT
ejpam-6884	583	1	the	the	DET
ejpam-6884	583	2	treatment	treatment	NOUN
ejpam-6884	583	3	and	and	CCONJ
ejpam-6884	583	4	recovered	recovered	ADJ
ejpam-6884	583	5	compartments	compartment	NOUN
ejpam-6884	583	6	are	be	AUX
ejpam-6884	583	7	also	also	ADV
ejpam-6884	583	8	influenced	influence	VERB
ejpam-6884	583	9	by	by	ADP
ejpam-6884	583	10	fractal	fractal	ADJ
ejpam-6884	583	11	structure	structure	NOUN
ejpam-6884	583	12	,	,	PUNCT
ejpam-6884	583	13	with	with	ADP
ejpam-6884	583	14	spatial	spatial	ADJ
ejpam-6884	583	15	irregularities	irregularity	NOUN
ejpam-6884	583	16	potentially	potentially	ADV
ejpam-6884	583	17	reducing	reduce	VERB
ejpam-6884	583	18	accessibility	accessibility	NOUN
ejpam-6884	583	19	to	to	ADP
ejpam-6884	583	20	medical	medical	ADJ
ejpam-6884	583	21	care	care	NOUN
ejpam-6884	583	22	or	or	CCONJ
ejpam-6884	583	23	delaying	delay	VERB
ejpam-6884	583	24	the	the	DET
ejpam-6884	583	25	healing	healing	NOUN
ejpam-6884	583	26	process	process	NOUN
ejpam-6884	583	27	.	.	PUNCT
ejpam-6884	584	1	the	the	DET
ejpam-6884	584	2	protected	protect	VERB
ejpam-6884	584	3	compartment	compartment	NOUN
ejpam-6884	584	4	shows	show	VERB
ejpam-6884	584	5	mixed	mixed	ADJ
ejpam-6884	584	6	behaviour	behaviour	NOUN
ejpam-6884	584	7	,	,	PUNCT
ejpam-6884	584	8	as	as	SCONJ
ejpam-6884	584	9	its	its	PRON
ejpam-6884	584	10	effectiveness	effectiveness	NOUN
ejpam-6884	584	11	depends	depend	VERB
ejpam-6884	584	12	on	on	ADP
ejpam-6884	584	13	how	how	SCONJ
ejpam-6884	584	14	fractal	fractal	ADJ
ejpam-6884	584	15	patterns	pattern	NOUN
ejpam-6884	584	16	impact	impact	VERB
ejpam-6884	584	17	the	the	DET
ejpam-6884	584	18	spread	spread	NOUN
ejpam-6884	584	19	and	and	CCONJ
ejpam-6884	584	20	reach	reach	NOUN
ejpam-6884	584	21	of	of	ADP
ejpam-6884	584	22	protective	protective	ADJ
ejpam-6884	584	23	measures	measure	NOUN
ejpam-6884	584	24	.	.	PUNCT
ejpam-6884	585	1	within	within	ADP
ejpam-6884	585	2	the	the	DET
ejpam-6884	585	3	animal	animal	NOUN
ejpam-6884	585	4	population	population	NOUN
ejpam-6884	585	5	,	,	PUNCT
ejpam-6884	585	6	complicated	complicate	VERB
ejpam-6884	585	7	fractal	fractal	ADJ
ejpam-6884	585	8	environments	environment	NOUN
ejpam-6884	585	9	are	be	AUX
ejpam-6884	585	10	likely	likely	ADJ
ejpam-6884	585	11	to	to	PART
ejpam-6884	585	12	decrease	decrease	VERB
ejpam-6884	585	13	the	the	DET
ejpam-6884	585	14	rate	rate	NOUN
ejpam-6884	585	15	of	of	ADP
ejpam-6884	585	16	exposure	exposure	NOUN
ejpam-6884	585	17	of	of	ADP
ejpam-6884	585	18	susceptible	susceptible	ADJ
ejpam-6884	585	19	animals	animal	NOUN
ejpam-6884	585	20	to	to	ADP
ejpam-6884	585	21	the	the	DET
ejpam-6884	585	22	disease	disease	NOUN
ejpam-6884	585	23	.	.	PUNCT
ejpam-6884	586	1	the	the	DET
ejpam-6884	586	2	infected	infect	VERB
ejpam-6884	586	3	animal	animal	NOUN
ejpam-6884	586	4	compartment	compartment	NOUN
ejpam-6884	586	5	reflects	reflect	VERB
ejpam-6884	586	6	altered	alter	VERB
ejpam-6884	586	7	peaks	peak	NOUN
ejpam-6884	586	8	based	base	VERB
ejpam-6884	586	9	on	on	ADP
ejpam-6884	586	10	habitat	habitat	ADJ
ejpam-6884	586	11	structure	structure	NOUN
ejpam-6884	586	12	,	,	PUNCT
ejpam-6884	586	13	and	and	CCONJ
ejpam-6884	586	14	the	the	DET
ejpam-6884	586	15	recovery	recovery	NOUN
ejpam-6884	586	16	in	in	ADP
ejpam-6884	586	17	animals	animal	NOUN
ejpam-6884	586	18	is	be	AUX
ejpam-6884	586	19	also	also	ADV
ejpam-6884	586	20	sensiv	sensiv	VERB
ejpam-6884	586	21	.	.	PUNCT
ejpam-6884	587	1	govindan	govindan	PROPN
ejpam-6884	587	2	et	et	PROPN
ejpam-6884	587	3	al	al	PROPN
ejpam-6884	587	4	.	.	PUNCT
ejpam-6884	587	5	/	/	SYM
ejpam-6884	587	6	eur	eur	PROPN
ejpam-6884	587	7	.	.	PUNCT
ejpam-6884	588	1	j.	j.	PROPN
ejpam-6884	588	2	pure	pure	PROPN
ejpam-6884	588	3	appl	appl	PROPN
ejpam-6884	588	4	.	.	PROPN
ejpam-6884	588	5	math	math	PROPN
ejpam-6884	588	6	,	,	PUNCT
ejpam-6884	588	7	18	18	NUM
ejpam-6884	588	8	(	(	PUNCT
ejpam-6884	588	9	4	4	NUM
ejpam-6884	588	10	)	)	PUNCT
ejpam-6884	588	11	(	(	PUNCT
ejpam-6884	588	12	2025	2025	NUM
ejpam-6884	588	13	)	)	PUNCT
ejpam-6884	588	14	,	,	PUNCT
ejpam-6884	588	15	6884	6884	NUM
ejpam-6884	588	16	22	22	NUM
ejpam-6884	588	17	of	of	ADP
ejpam-6884	588	18	29	29	NUM
ejpam-6884	588	19	tive	tive	NOUN
ejpam-6884	588	20	to	to	ADP
ejpam-6884	588	21	fractal	fractal	ADJ
ejpam-6884	588	22	properties	property	NOUN
ejpam-6884	588	23	more	more	ADV
ejpam-6884	588	24	irregular	irregular	ADJ
ejpam-6884	588	25	settings	setting	NOUN
ejpam-6884	588	26	may	may	AUX
ejpam-6884	588	27	hinder	hinder	VERB
ejpam-6884	588	28	movement	movement	NOUN
ejpam-6884	588	29	or	or	CCONJ
ejpam-6884	588	30	isolate	isolate	VERB
ejpam-6884	588	31	infected	infected	ADJ
ejpam-6884	588	32	hosts	host	NOUN
ejpam-6884	588	33	,	,	PUNCT
ejpam-6884	588	34	thus	thus	ADV
ejpam-6884	588	35	influencing	influence	VERB
ejpam-6884	588	36	recovery	recovery	NOUN
ejpam-6884	588	37	timing	timing	NOUN
ejpam-6884	588	38	.	.	PUNCT
ejpam-6884	589	1	figure	figure	VERB
ejpam-6884	589	2	2	2	NUM
ejpam-6884	589	3	:	:	PUNCT
ejpam-6884	589	4	effect	effect	NOUN
ejpam-6884	589	5	of	of	ADP
ejpam-6884	589	6	varying	vary	VERB
ejpam-6884	589	7	fractal	fractal	ADJ
ejpam-6884	589	8	dimensions	dimension	NOUN
ejpam-6884	589	9	on	on	ADP
ejpam-6884	589	10	the	the	DET
ejpam-6884	589	11	dynamics	dynamic	NOUN
ejpam-6884	589	12	of	of	ADP
ejpam-6884	589	13	human	human	ADJ
ejpam-6884	589	14	and	and	CCONJ
ejpam-6884	589	15	animal	animal	NOUN
ejpam-6884	589	16	monkeypox	monkeypox	NOUN
ejpam-6884	589	17	compartments	compartment	NOUN
ejpam-6884	589	18	.	.	PUNCT
ejpam-6884	590	1	figure	figure	NOUN
ejpam-6884	590	2	3	3	NUM
ejpam-6884	590	3	illustrates	illustrate	VERB
ejpam-6884	590	4	the	the	DET
ejpam-6884	590	5	influence	influence	NOUN
ejpam-6884	590	6	of	of	ADP
ejpam-6884	590	7	varying	vary	VERB
ejpam-6884	590	8	fractional	fractional	ADJ
ejpam-6884	590	9	orders	order	NOUN
ejpam-6884	590	10	specifically	specifically	ADV
ejpam-6884	590	11	0.5	0.5	NUM
ejpam-6884	590	12	,	,	PUNCT
ejpam-6884	590	13	0.7	0.7	NUM
ejpam-6884	590	14	,	,	PUNCT
ejpam-6884	590	15	and	and	CCONJ
ejpam-6884	590	16	0.9	0.9	NUM
ejpam-6884	590	17	on	on	ADP
ejpam-6884	590	18	the	the	DET
ejpam-6884	590	19	dynamics	dynamic	NOUN
ejpam-6884	590	20	of	of	ADP
ejpam-6884	590	21	monkeypox	monkeypox	NOUN
ejpam-6884	590	22	transmission	transmission	NOUN
ejpam-6884	590	23	in	in	ADP
ejpam-6884	590	24	the	the	DET
ejpam-6884	590	25	proposed	propose	VERB
ejpam-6884	590	26	model	model	NOUN
ejpam-6884	590	27	.	.	PUNCT
ejpam-6884	591	1	the	the	DET
ejpam-6884	591	2	analysis	analysis	NOUN
ejpam-6884	591	3	reveals	reveal	VERB
ejpam-6884	591	4	that	that	SCONJ
ejpam-6884	591	5	incorporating	incorporate	VERB
ejpam-6884	591	6	fractional	fractional	ADJ
ejpam-6884	591	7	-	-	PUNCT
ejpam-6884	591	8	order	order	NOUN
ejpam-6884	591	9	derivatives	derivative	NOUN
ejpam-6884	591	10	enhances	enhance	VERB
ejpam-6884	591	11	the	the	DET
ejpam-6884	591	12	model	model	NOUN
ejpam-6884	591	13	’s	’s	PART
ejpam-6884	591	14	capacity	capacity	NOUN
ejpam-6884	591	15	to	to	PART
ejpam-6884	591	16	capture	capture	VERB
ejpam-6884	591	17	memory	memory	NOUN
ejpam-6884	591	18	and	and	CCONJ
ejpam-6884	591	19	hereditary	hereditary	ADJ
ejpam-6884	591	20	effects	effect	NOUN
ejpam-6884	591	21	across	across	ADP
ejpam-6884	591	22	human	human	ADJ
ejpam-6884	591	23	and	and	CCONJ
ejpam-6884	591	24	animal	animal	NOUN
ejpam-6884	591	25	compartments	compartment	NOUN
ejpam-6884	591	26	.	.	PUNCT
ejpam-6884	592	1	in	in	ADP
ejpam-6884	592	2	the	the	DET
ejpam-6884	592	3	human	human	ADJ
ejpam-6884	592	4	population	population	NOUN
ejpam-6884	592	5	,	,	PUNCT
ejpam-6884	592	6	increasing	increase	VERB
ejpam-6884	592	7	the	the	DET
ejpam-6884	592	8	fractional	fractional	ADJ
ejpam-6884	592	9	order	order	NOUN
ejpam-6884	592	10	from	from	ADP
ejpam-6884	592	11	0.5	0.5	NUM
ejpam-6884	592	12	to	to	PART
ejpam-6884	592	13	0.9	0.9	NUM
ejpam-6884	592	14	accelerates	accelerate	VERB
ejpam-6884	592	15	the	the	DET
ejpam-6884	592	16	decline	decline	NOUN
ejpam-6884	592	17	of	of	ADP
ejpam-6884	592	18	susceptible	susceptible	ADJ
ejpam-6884	592	19	individuals	individual	NOUN
ejpam-6884	592	20	,	,	PUNCT
ejpam-6884	592	21	indicating	indicate	VERB
ejpam-6884	592	22	that	that	SCONJ
ejpam-6884	592	23	stronger	strong	ADJ
ejpam-6884	592	24	memory	memory	NOUN
ejpam-6884	592	25	effects	effect	NOUN
ejpam-6884	592	26	at	at	ADP
ejpam-6884	592	27	higher	high	ADJ
ejpam-6884	592	28	orders	order	NOUN
ejpam-6884	592	29	lead	lead	VERB
ejpam-6884	592	30	to	to	ADP
ejpam-6884	592	31	faster	fast	ADJ
ejpam-6884	592	32	responses	response	NOUN
ejpam-6884	592	33	to	to	ADP
ejpam-6884	592	34	infection	infection	NOUN
ejpam-6884	592	35	or	or	CCONJ
ejpam-6884	592	36	preventive	preventive	ADJ
ejpam-6884	592	37	measures	measure	NOUN
ejpam-6884	592	38	.	.	PUNCT
ejpam-6884	593	1	similarly	similarly	ADV
ejpam-6884	593	2	,	,	PUNCT
ejpam-6884	593	3	the	the	DET
ejpam-6884	593	4	infected	infect	VERB
ejpam-6884	593	5	human	human	ADJ
ejpam-6884	593	6	compartment	compartment	NOUN
ejpam-6884	593	7	decreases	decrease	VERB
ejpam-6884	593	8	more	more	ADV
ejpam-6884	593	9	rapidly	rapidly	ADV
ejpam-6884	593	10	at	at	ADP
ejpam-6884	593	11	higher	high	ADJ
ejpam-6884	593	12	orders	order	NOUN
ejpam-6884	593	13	,	,	PUNCT
ejpam-6884	593	14	such	such	ADJ
ejpam-6884	593	15	as	as	ADP
ejpam-6884	593	16	0.9	0.9	NUM
ejpam-6884	593	17	,	,	PUNCT
ejpam-6884	593	18	reflecting	reflect	VERB
ejpam-6884	593	19	improved	improved	ADJ
ejpam-6884	593	20	adaptability	adaptability	NOUN
ejpam-6884	593	21	and	and	CCONJ
ejpam-6884	593	22	responsiveness	responsiveness	NOUN
ejpam-6884	593	23	of	of	ADP
ejpam-6884	593	24	the	the	DET
ejpam-6884	593	25	system	system	NOUN
ejpam-6884	593	26	.	.	PUNCT
ejpam-6884	594	1	treatment	treatment	NOUN
ejpam-6884	594	2	and	and	CCONJ
ejpam-6884	594	3	recovery	recovery	NOUN
ejpam-6884	594	4	compartments	compartment	NOUN
ejpam-6884	594	5	also	also	ADV
ejpam-6884	594	6	have	have	VERB
ejpam-6884	594	7	more	more	ADV
ejpam-6884	594	8	rapid	rapid	ADJ
ejpam-6884	594	9	and	and	CCONJ
ejpam-6884	594	10	efficient	efficient	ADJ
ejpam-6884	594	11	transitions	transition	NOUN
ejpam-6884	594	12	with	with	ADP
ejpam-6884	594	13	increasing	increase	VERB
ejpam-6884	594	14	order	order	NOUN
ejpam-6884	594	15	,	,	PUNCT
ejpam-6884	594	16	reflecting	reflect	VERB
ejpam-6884	594	17	diminished	diminish	VERB
ejpam-6884	594	18	v.	v.	ADP
ejpam-6884	594	19	govindan	govindan	PROPN
ejpam-6884	594	20	et	et	PROPN
ejpam-6884	594	21	al	al	PROPN
ejpam-6884	594	22	.	.	PUNCT
ejpam-6884	594	23	/	/	SYM
ejpam-6884	594	24	eur	eur	PROPN
ejpam-6884	594	25	.	.	PUNCT
ejpam-6884	595	1	j.	j.	PROPN
ejpam-6884	595	2	pure	pure	PROPN
ejpam-6884	595	3	appl	appl	PROPN
ejpam-6884	595	4	.	.	PROPN
ejpam-6884	595	5	math	math	PROPN
ejpam-6884	595	6	,	,	PUNCT
ejpam-6884	595	7	18	18	NUM
ejpam-6884	595	8	(	(	PUNCT
ejpam-6884	595	9	4	4	NUM
ejpam-6884	595	10	)	)	PUNCT
ejpam-6884	595	11	(	(	PUNCT
ejpam-6884	595	12	2025	2025	NUM
ejpam-6884	595	13	)	)	PUNCT
ejpam-6884	595	14	,	,	PUNCT
ejpam-6884	595	15	6884	6884	NUM
ejpam-6884	595	16	23	23	NUM
ejpam-6884	595	17	of	of	ADP
ejpam-6884	595	18	29	29	NUM
ejpam-6884	595	19	system	system	NOUN
ejpam-6884	595	20	inertia	inertia	NOUN
ejpam-6884	595	21	and	and	CCONJ
ejpam-6884	595	22	better	well	ADJ
ejpam-6884	595	23	health	health	NOUN
ejpam-6884	595	24	outcomes	outcome	NOUN
ejpam-6884	595	25	.	.	PUNCT
ejpam-6884	596	1	the	the	DET
ejpam-6884	596	2	shielded	shielded	ADJ
ejpam-6884	596	3	human	human	ADJ
ejpam-6884	596	4	group	group	NOUN
ejpam-6884	596	5	increases	increase	VERB
ejpam-6884	596	6	more	more	ADV
ejpam-6884	596	7	significantly	significantly	ADV
ejpam-6884	596	8	at	at	ADP
ejpam-6884	596	9	higher	high	ADJ
ejpam-6884	596	10	orders	order	NOUN
ejpam-6884	596	11	,	,	PUNCT
ejpam-6884	596	12	showing	show	VERB
ejpam-6884	596	13	more	more	ADV
ejpam-6884	596	14	effective	effective	ADJ
ejpam-6884	596	15	immunity	immunity	NOUN
ejpam-6884	596	16	accumulation	accumulation	NOUN
ejpam-6884	596	17	.	.	PUNCT
ejpam-6884	597	1	in	in	ADP
ejpam-6884	597	2	the	the	DET
ejpam-6884	597	3	animal	animal	NOUN
ejpam-6884	597	4	compartments	compartment	NOUN
ejpam-6884	597	5	,	,	PUNCT
ejpam-6884	597	6	lower	low	ADJ
ejpam-6884	597	7	fractional	fractional	ADJ
ejpam-6884	597	8	order	order	NOUN
ejpam-6884	597	9	(	(	PUNCT
ejpam-6884	597	10	e.g.	e.g.	ADV
ejpam-6884	597	11	,	,	PUNCT
ejpam-6884	597	12	0.5	0.5	NUM
ejpam-6884	597	13	)	)	PUNCT
ejpam-6884	597	14	will	will	AUX
ejpam-6884	597	15	result	result	VERB
ejpam-6884	597	16	in	in	ADP
ejpam-6884	597	17	slower	slow	ADJ
ejpam-6884	597	18	susceptibility	susceptibility	NOUN
ejpam-6884	597	19	reduction	reduction	NOUN
ejpam-6884	597	20	and	and	CCONJ
ejpam-6884	597	21	increased	increase	VERB
ejpam-6884	597	22	infection	infection	NOUN
ejpam-6884	597	23	duration	duration	NOUN
ejpam-6884	597	24	because	because	SCONJ
ejpam-6884	597	25	of	of	ADP
ejpam-6884	597	26	enhanced	enhanced	ADJ
ejpam-6884	597	27	memory	memory	NOUN
ejpam-6884	597	28	retention	retention	NOUN
ejpam-6884	597	29	.	.	PUNCT
ejpam-6884	598	1	a	a	DET
ejpam-6884	598	2	sharper	sharp	ADJ
ejpam-6884	598	3	decline	decline	NOUN
ejpam-6884	598	4	in	in	ADP
ejpam-6884	598	5	infection	infection	NOUN
ejpam-6884	598	6	and	and	CCONJ
ejpam-6884	598	7	quicker	quick	ADJ
ejpam-6884	598	8	recovery	recovery	NOUN
ejpam-6884	598	9	rate	rate	NOUN
ejpam-6884	598	10	is	be	AUX
ejpam-6884	598	11	obtained	obtain	VERB
ejpam-6884	598	12	by	by	ADP
ejpam-6884	598	13	higher	high	ADJ
ejpam-6884	598	14	orders	order	NOUN
ejpam-6884	598	15	(	(	PUNCT
ejpam-6884	598	16	0.7	0.7	NUM
ejpam-6884	598	17	and	and	CCONJ
ejpam-6884	598	18	0.9	0.9	NUM
ejpam-6884	598	19	)	)	PUNCT
ejpam-6884	598	20	,	,	PUNCT
ejpam-6884	598	21	suggesting	suggest	VERB
ejpam-6884	598	22	improved	improved	ADJ
ejpam-6884	598	23	control	control	NOUN
ejpam-6884	598	24	and	and	CCONJ
ejpam-6884	598	25	robustness	robustness	NOUN
ejpam-6884	598	26	in	in	ADP
ejpam-6884	598	27	the	the	DET
ejpam-6884	598	28	animal	animal	NOUN
ejpam-6884	598	29	population	population	NOUN
ejpam-6884	598	30	.	.	PUNCT
ejpam-6884	599	1	(	(	PUNCT
ejpam-6884	599	2	a	a	X
ejpam-6884	599	3	)	)	PUNCT
ejpam-6884	599	4	(	(	PUNCT
ejpam-6884	599	5	b	b	X
ejpam-6884	599	6	)	)	PUNCT
ejpam-6884	599	7	figure	figure	NOUN
ejpam-6884	599	8	3	3	NUM
ejpam-6884	599	9	:	:	PUNCT
ejpam-6884	599	10	(	(	PUNCT
ejpam-6884	599	11	a	a	X
ejpam-6884	599	12	)	)	PUNCT
ejpam-6884	599	13	effect	effect	NOUN
ejpam-6884	599	14	of	of	ADP
ejpam-6884	599	15	various	various	ADJ
ejpam-6884	599	16	fractional	fractional	ADJ
ejpam-6884	599	17	orders	order	NOUN
ejpam-6884	599	18	on	on	ADP
ejpam-6884	599	19	disease	disease	NOUN
ejpam-6884	599	20	development	development	NOUN
ejpam-6884	599	21	in	in	ADP
ejpam-6884	599	22	human	human	ADJ
ejpam-6884	599	23	and	and	CCONJ
ejpam-6884	599	24	animal	animal	NOUN
ejpam-6884	599	25	populations	population	NOUN
ejpam-6884	599	26	.	.	PUNCT
ejpam-6884	600	1	(	(	PUNCT
ejpam-6884	600	2	a	a	X
ejpam-6884	600	3	)	)	PUNCT
ejpam-6884	600	4	susceptible	susceptible	ADJ
ejpam-6884	600	5	human	human	NOUN
ejpam-6884	600	6	in	in	ADP
ejpam-6884	600	7	various	various	ADJ
ejpam-6884	600	8	fractional	fractional	ADJ
ejpam-6884	600	9	order	order	NOUN
ejpam-6884	600	10	,	,	PUNCT
ejpam-6884	600	11	(	(	PUNCT
ejpam-6884	600	12	b	b	NOUN
ejpam-6884	600	13	)	)	PUNCT
ejpam-6884	600	14	infected	infected	ADJ
ejpam-6884	600	15	human	human	NOUN
ejpam-6884	600	16	in	in	ADP
ejpam-6884	600	17	various	various	ADJ
ejpam-6884	600	18	fractional	fractional	ADJ
ejpam-6884	600	19	order	order	NOUN
ejpam-6884	600	20	.	.	PUNCT
ejpam-6884	601	1	(	(	PUNCT
ejpam-6884	601	2	a	a	X
ejpam-6884	601	3	)	)	PUNCT
ejpam-6884	601	4	(	(	PUNCT
ejpam-6884	601	5	b	b	X
ejpam-6884	601	6	)	)	PUNCT
ejpam-6884	601	7	figure	figure	NOUN
ejpam-6884	601	8	4	4	NUM
ejpam-6884	601	9	:	:	PUNCT
ejpam-6884	601	10	(	(	PUNCT
ejpam-6884	601	11	a	a	X
ejpam-6884	601	12	)	)	PUNCT
ejpam-6884	601	13	treated	treat	VERB
ejpam-6884	601	14	human	human	NOUN
ejpam-6884	601	15	in	in	ADP
ejpam-6884	601	16	various	various	ADJ
ejpam-6884	601	17	fractional	fractional	ADJ
ejpam-6884	601	18	order	order	NOUN
ejpam-6884	601	19	,	,	PUNCT
ejpam-6884	601	20	(	(	PUNCT
ejpam-6884	601	21	b	b	NOUN
ejpam-6884	601	22	)	)	PUNCT
ejpam-6884	601	23	recovered	recover	VERB
ejpam-6884	601	24	human	human	ADJ
ejpam-6884	601	25	in	in	ADP
ejpam-6884	601	26	various	various	ADJ
ejpam-6884	601	27	fractional	fractional	ADJ
ejpam-6884	601	28	order	order	NOUN
ejpam-6884	601	29	.	.	PUNCT
ejpam-6884	602	1	v.	v.	ADP
ejpam-6884	602	2	govindan	govindan	PROPN
ejpam-6884	602	3	et	et	PROPN
ejpam-6884	602	4	al	al	PROPN
ejpam-6884	602	5	.	.	PUNCT
ejpam-6884	602	6	/	/	SYM
ejpam-6884	602	7	eur	eur	PROPN
ejpam-6884	602	8	.	.	PUNCT
ejpam-6884	603	1	j.	j.	PROPN
ejpam-6884	603	2	pure	pure	PROPN
ejpam-6884	603	3	appl	appl	PROPN
ejpam-6884	603	4	.	.	PROPN
ejpam-6884	603	5	math	math	PROPN
ejpam-6884	603	6	,	,	PUNCT
ejpam-6884	603	7	18	18	NUM
ejpam-6884	603	8	(	(	PUNCT
ejpam-6884	603	9	4	4	NUM
ejpam-6884	603	10	)	)	PUNCT
ejpam-6884	603	11	(	(	PUNCT
ejpam-6884	603	12	2025	2025	NUM
ejpam-6884	603	13	)	)	PUNCT
ejpam-6884	603	14	,	,	PUNCT
ejpam-6884	603	15	6884	6884	NUM
ejpam-6884	603	16	24	24	NUM
ejpam-6884	603	17	of	of	ADP
ejpam-6884	603	18	29	29	NUM
ejpam-6884	603	19	(	(	PUNCT
ejpam-6884	603	20	a	a	NOUN
ejpam-6884	603	21	)	)	PUNCT
ejpam-6884	603	22	(	(	PUNCT
ejpam-6884	603	23	b	b	X
ejpam-6884	603	24	)	)	PUNCT
ejpam-6884	603	25	figure	figure	NOUN
ejpam-6884	603	26	5	5	NUM
ejpam-6884	603	27	:	:	PUNCT
ejpam-6884	603	28	(	(	PUNCT
ejpam-6884	603	29	a	a	X
ejpam-6884	603	30	)	)	PUNCT
ejpam-6884	603	31	protected	protect	VERB
ejpam-6884	603	32	human	human	NOUN
ejpam-6884	603	33	in	in	ADP
ejpam-6884	603	34	various	various	ADJ
ejpam-6884	603	35	fractional	fractional	ADJ
ejpam-6884	603	36	order	order	NOUN
ejpam-6884	603	37	.	.	PUNCT
ejpam-6884	604	1	(	(	PUNCT
ejpam-6884	604	2	b	b	X
ejpam-6884	604	3	)	)	PUNCT
ejpam-6884	604	4	susceptible	susceptible	ADJ
ejpam-6884	604	5	animal	animal	NOUN
ejpam-6884	604	6	in	in	ADP
ejpam-6884	604	7	various	various	ADJ
ejpam-6884	604	8	fractional	fractional	ADJ
ejpam-6884	604	9	order	order	NOUN
ejpam-6884	604	10	.	.	PUNCT
ejpam-6884	605	1	(	(	PUNCT
ejpam-6884	605	2	a	a	X
ejpam-6884	605	3	)	)	PUNCT
ejpam-6884	605	4	(	(	PUNCT
ejpam-6884	605	5	b	b	X
ejpam-6884	605	6	)	)	PUNCT
ejpam-6884	605	7	figure	figure	NOUN
ejpam-6884	605	8	6	6	NUM
ejpam-6884	605	9	:	:	PUNCT
ejpam-6884	605	10	(	(	PUNCT
ejpam-6884	605	11	a	a	X
ejpam-6884	605	12	)	)	PUNCT
ejpam-6884	605	13	infected	infected	ADJ
ejpam-6884	605	14	animal	animal	NOUN
ejpam-6884	605	15	in	in	ADP
ejpam-6884	605	16	various	various	ADJ
ejpam-6884	605	17	fractional	fractional	ADJ
ejpam-6884	605	18	order	order	NOUN
ejpam-6884	605	19	.	.	PUNCT
ejpam-6884	606	1	(	(	PUNCT
ejpam-6884	606	2	b	b	X
ejpam-6884	606	3	)	)	PUNCT
ejpam-6884	606	4	recovered	recover	VERB
ejpam-6884	606	5	animal	animal	NOUN
ejpam-6884	606	6	in	in	ADP
ejpam-6884	606	7	various	various	ADJ
ejpam-6884	606	8	fractional	fractional	ADJ
ejpam-6884	606	9	order	order	NOUN
ejpam-6884	606	10	.	.	PUNCT
ejpam-6884	607	1	in	in	ADP
ejpam-6884	607	2	summary	summary	NOUN
ejpam-6884	607	3	,	,	PUNCT
ejpam-6884	607	4	the	the	DET
ejpam-6884	607	5	combination	combination	NOUN
ejpam-6884	607	6	of	of	ADP
ejpam-6884	607	7	fuzzy	fuzzy	ADJ
ejpam-6884	607	8	logic	logic	NOUN
ejpam-6884	607	9	,	,	PUNCT
ejpam-6884	607	10	fractal	fractal	ADJ
ejpam-6884	607	11	dimensions	dimension	NOUN
ejpam-6884	607	12	,	,	PUNCT
ejpam-6884	607	13	and	and	CCONJ
ejpam-6884	607	14	fractional	fractional	ADJ
ejpam-6884	607	15	calculus	calculus	NOUN
ejpam-6884	607	16	results	result	NOUN
ejpam-6884	607	17	in	in	ADP
ejpam-6884	607	18	a	a	DET
ejpam-6884	607	19	more	more	ADV
ejpam-6884	607	20	complete	complete	ADJ
ejpam-6884	607	21	modelling	modelling	NOUN
ejpam-6884	607	22	framework	framework	NOUN
ejpam-6884	607	23	that	that	PRON
ejpam-6884	607	24	captures	capture	VERB
ejpam-6884	607	25	actual	actual	ADJ
ejpam-6884	607	26	-	-	PUNCT
ejpam-6884	607	27	world	world	NOUN
ejpam-6884	607	28	uncertainty	uncertainty	NOUN
ejpam-6884	607	29	and	and	CCONJ
ejpam-6884	607	30	complexity	complexity	NOUN
ejpam-6884	607	31	more	more	ADV
ejpam-6884	607	32	reliably	reliably	ADV
ejpam-6884	607	33	than	than	ADP
ejpam-6884	607	34	conventional	conventional	ADJ
ejpam-6884	607	35	models	model	NOUN
ejpam-6884	607	36	.	.	PUNCT
ejpam-6884	608	1	this	this	DET
ejpam-6884	608	2	multiple	multiple	ADJ
ejpam-6884	608	3	-	-	PUNCT
ejpam-6884	608	4	paradigm	paradigm	NOUN
ejpam-6884	608	5	strategy	strategy	NOUN
ejpam-6884	608	6	increases	increase	VERB
ejpam-6884	608	7	the	the	DET
ejpam-6884	608	8	sensitivity	sensitivity	NOUN
ejpam-6884	608	9	and	and	CCONJ
ejpam-6884	608	10	responsiveness	responsiveness	NOUN
ejpam-6884	608	11	of	of	ADP
ejpam-6884	608	12	epidemiological	epidemiological	ADJ
ejpam-6884	608	13	models	model	NOUN
ejpam-6884	608	14	,	,	PUNCT
ejpam-6884	608	15	ultimately	ultimately	ADV
ejpam-6884	608	16	leading	lead	VERB
ejpam-6884	608	17	to	to	ADP
ejpam-6884	608	18	better	well	ADV
ejpam-6884	608	19	-	-	PUNCT
ejpam-6884	608	20	informed	inform	VERB
ejpam-6884	608	21	and	and	CCONJ
ejpam-6884	608	22	more	more	ADV
ejpam-6884	608	23	flexible	flexible	ADJ
ejpam-6884	608	24	public	public	ADJ
ejpam-6884	608	25	health	health	NOUN
ejpam-6884	608	26	decision	decision	NOUN
ejpam-6884	608	27	-	-	PUNCT
ejpam-6884	608	28	making	making	NOUN
ejpam-6884	608	29	under	under	ADP
ejpam-6884	608	30	uncertainty	uncertainty	NOUN
ejpam-6884	608	31	.	.	PUNCT
ejpam-6884	609	1	v.	v.	ADP
ejpam-6884	609	2	govindan	govindan	PROPN
ejpam-6884	609	3	et	et	PROPN
ejpam-6884	609	4	al	al	PROPN
ejpam-6884	609	5	.	.	PUNCT
ejpam-6884	609	6	/	/	SYM
ejpam-6884	609	7	eur	eur	PROPN
ejpam-6884	609	8	.	.	PUNCT
ejpam-6884	610	1	j.	j.	PROPN
ejpam-6884	610	2	pure	pure	PROPN
ejpam-6884	610	3	appl	appl	PROPN
ejpam-6884	610	4	.	.	PROPN
ejpam-6884	610	5	math	math	PROPN
ejpam-6884	610	6	,	,	PUNCT
ejpam-6884	610	7	18	18	NUM
ejpam-6884	610	8	(	(	PUNCT
ejpam-6884	610	9	4	4	NUM
ejpam-6884	610	10	)	)	PUNCT
ejpam-6884	610	11	(	(	PUNCT
ejpam-6884	610	12	2025	2025	NUM
ejpam-6884	610	13	)	)	PUNCT
ejpam-6884	610	14	,	,	PUNCT
ejpam-6884	610	15	6884	6884	NUM
ejpam-6884	610	16	25	25	NUM
ejpam-6884	610	17	of	of	ADP
ejpam-6884	610	18	29	29	NUM
ejpam-6884	610	19	8	8	NUM
ejpam-6884	610	20	.	.	PUNCT
ejpam-6884	611	1	conclusion	conclusion	NOUN
ejpam-6884	611	2	in	in	ADP
ejpam-6884	611	3	this	this	DET
ejpam-6884	611	4	research	research	NOUN
ejpam-6884	611	5	,	,	PUNCT
ejpam-6884	611	6	a	a	DET
ejpam-6884	611	7	fuzzy	fuzzy	ADJ
ejpam-6884	611	8	fractal	fractal	ADJ
ejpam-6884	611	9	fractional	fractional	ADJ
ejpam-6884	611	10	-	-	PUNCT
ejpam-6884	611	11	order	order	NOUN
ejpam-6884	611	12	model	model	NOUN
ejpam-6884	611	13	of	of	ADP
ejpam-6884	611	14	monkeypox	monkeypox	PROPN
ejpam-6884	611	15	transmission	transmission	NOUN
ejpam-6884	611	16	was	be	AUX
ejpam-6884	611	17	established	establish	VERB
ejpam-6884	611	18	that	that	SCONJ
ejpam-6884	611	19	captures	capture	VERB
ejpam-6884	611	20	parameter	parameter	NOUN
ejpam-6884	611	21	uncertainty	uncertainty	NOUN
ejpam-6884	611	22	and	and	CCONJ
ejpam-6884	611	23	memory	memory	NOUN
ejpam-6884	611	24	effects	effect	NOUN
ejpam-6884	611	25	.	.	PUNCT
ejpam-6884	612	1	the	the	DET
ejpam-6884	612	2	findings	finding	NOUN
ejpam-6884	612	3	identify	identify	VERB
ejpam-6884	612	4	how	how	SCONJ
ejpam-6884	612	5	uncertainty	uncertainty	NOUN
ejpam-6884	612	6	in	in	ADP
ejpam-6884	612	7	important	important	ADJ
ejpam-6884	612	8	parameters	parameter	NOUN
ejpam-6884	612	9	like	like	ADP
ejpam-6884	612	10	transmission	transmission	NOUN
ejpam-6884	612	11	and	and	CCONJ
ejpam-6884	612	12	recovery	recovery	NOUN
ejpam-6884	612	13	rates	rate	NOUN
ejpam-6884	612	14	can	can	AUX
ejpam-6884	612	15	significantly	significantly	ADV
ejpam-6884	612	16	modify	modify	VERB
ejpam-6884	612	17	outbreak	outbreak	NOUN
ejpam-6884	612	18	size	size	NOUN
ejpam-6884	612	19	and	and	CCONJ
ejpam-6884	612	20	timing	timing	NOUN
ejpam-6884	612	21	and	and	CCONJ
ejpam-6884	612	22	how	how	SCONJ
ejpam-6884	612	23	the	the	DET
ejpam-6884	612	24	incorporation	incorporation	NOUN
ejpam-6884	612	25	of	of	ADP
ejpam-6884	612	26	memory	memory	NOUN
ejpam-6884	612	27	effects	effect	NOUN
ejpam-6884	612	28	indicates	indicate	VERB
ejpam-6884	612	29	that	that	SCONJ
ejpam-6884	612	30	history	history	NOUN
ejpam-6884	612	31	of	of	ADP
ejpam-6884	612	32	past	past	ADJ
ejpam-6884	612	33	infection	infection	NOUN
ejpam-6884	612	34	continues	continue	VERB
ejpam-6884	612	35	to	to	PART
ejpam-6884	612	36	influence	influence	VERB
ejpam-6884	612	37	future	future	ADJ
ejpam-6884	612	38	epidemic	epidemic	NOUN
ejpam-6884	612	39	patterns	pattern	NOUN
ejpam-6884	612	40	.	.	PUNCT
ejpam-6884	613	1	in	in	ADP
ejpam-6884	613	2	capturing	capture	VERB
ejpam-6884	613	3	imprecise	imprecise	ADV
ejpam-6884	613	4	or	or	CCONJ
ejpam-6884	613	5	incomplete	incomplete	ADJ
ejpam-6884	613	6	data	datum	NOUN
ejpam-6884	613	7	,	,	PUNCT
ejpam-6884	613	8	the	the	DET
ejpam-6884	613	9	model	model	NOUN
ejpam-6884	613	10	more	more	ADV
ejpam-6884	613	11	accurately	accurately	ADV
ejpam-6884	613	12	represents	represent	VERB
ejpam-6884	613	13	heterogeneity	heterogeneity	NOUN
ejpam-6884	613	14	present	present	ADJ
ejpam-6884	613	15	in	in	ADP
ejpam-6884	613	16	real	real	ADJ
ejpam-6884	613	17	populations	population	NOUN
ejpam-6884	613	18	.	.	PUNCT
ejpam-6884	614	1	epidemiologically	epidemiologically	ADV
ejpam-6884	614	2	,	,	PUNCT
ejpam-6884	614	3	this	this	PRON
ejpam-6884	614	4	suggests	suggest	VERB
ejpam-6884	614	5	that	that	SCONJ
ejpam-6884	614	6	neglecting	neglect	VERB
ejpam-6884	614	7	uncertainty	uncertainty	NOUN
ejpam-6884	614	8	and	and	CCONJ
ejpam-6884	614	9	memory	memory	NOUN
ejpam-6884	614	10	could	could	AUX
ejpam-6884	614	11	underestimate	underestimate	VERB
ejpam-6884	614	12	the	the	DET
ejpam-6884	614	13	size	size	NOUN
ejpam-6884	614	14	and	and	CCONJ
ejpam-6884	614	15	duration	duration	NOUN
ejpam-6884	614	16	of	of	ADP
ejpam-6884	614	17	outbreaks	outbreak	NOUN
ejpam-6884	614	18	.	.	PUNCT
ejpam-6884	615	1	the	the	DET
ejpam-6884	615	2	simulations	simulation	NOUN
ejpam-6884	615	3	also	also	ADV
ejpam-6884	615	4	give	give	VERB
ejpam-6884	615	5	insights	insight	NOUN
ejpam-6884	615	6	into	into	ADP
ejpam-6884	615	7	the	the	DET
ejpam-6884	615	8	conditions	condition	NOUN
ejpam-6884	615	9	under	under	ADP
ejpam-6884	615	10	which	which	DET
ejpam-6884	615	11	monkeypox	monkeypox	NOUN
ejpam-6884	615	12	propagates	propagate	VERB
ejpam-6884	615	13	rapidly	rapidly	ADV
ejpam-6884	615	14	,	,	PUNCT
ejpam-6884	615	15	stabilizes	stabilize	VERB
ejpam-6884	615	16	,	,	PUNCT
ejpam-6884	615	17	or	or	CCONJ
ejpam-6884	615	18	disappears	disappear	VERB
ejpam-6884	615	19	,	,	PUNCT
ejpam-6884	615	20	in	in	ADP
ejpam-6884	615	21	support	support	NOUN
ejpam-6884	615	22	of	of	ADP
ejpam-6884	615	23	designing	design	VERB
ejpam-6884	615	24	effective	effective	ADJ
ejpam-6884	615	25	interventions	intervention	NOUN
ejpam-6884	615	26	.	.	PUNCT
ejpam-6884	616	1	practically	practically	ADV
ejpam-6884	616	2	,	,	PUNCT
ejpam-6884	616	3	this	this	PRON
ejpam-6884	616	4	means	mean	VERB
ejpam-6884	616	5	that	that	SCONJ
ejpam-6884	616	6	approaches	approach	NOUN
ejpam-6884	616	7	like	like	ADP
ejpam-6884	616	8	targeted	target	VERB
ejpam-6884	616	9	vaccination	vaccination	NOUN
ejpam-6884	616	10	,	,	PUNCT
ejpam-6884	616	11	early	early	ADJ
ejpam-6884	616	12	isolation	isolation	NOUN
ejpam-6884	616	13	,	,	PUNCT
ejpam-6884	616	14	and	and	CCONJ
ejpam-6884	616	15	adaptive	adaptive	ADJ
ejpam-6884	616	16	public	public	ADJ
ejpam-6884	616	17	health	health	NOUN
ejpam-6884	616	18	policy	policy	NOUN
ejpam-6884	616	19	should	should	AUX
ejpam-6884	616	20	incorporate	incorporate	VERB
ejpam-6884	616	21	parameter	parameter	NOUN
ejpam-6884	616	22	uncertainty	uncertainty	NOUN
ejpam-6884	616	23	and	and	CCONJ
ejpam-6884	616	24	long	long	ADJ
ejpam-6884	616	25	-	-	PUNCT
ejpam-6884	616	26	term	term	NOUN
ejpam-6884	616	27	impacts	impact	NOUN
ejpam-6884	616	28	explicitly	explicitly	ADV
ejpam-6884	616	29	in	in	ADP
ejpam-6884	616	30	order	order	NOUN
ejpam-6884	616	31	to	to	PART
ejpam-6884	616	32	enhance	enhance	VERB
ejpam-6884	616	33	outbreak	outbreak	NOUN
ejpam-6884	616	34	prediction	prediction	NOUN
ejpam-6884	616	35	and	and	CCONJ
ejpam-6884	616	36	control	control	NOUN
ejpam-6884	616	37	.	.	PUNCT
ejpam-6884	617	1	future	future	ADJ
ejpam-6884	617	2	research	research	NOUN
ejpam-6884	617	3	could	could	AUX
ejpam-6884	617	4	involve	involve	VERB
ejpam-6884	617	5	augmenting	augment	VERB
ejpam-6884	617	6	the	the	DET
ejpam-6884	617	7	framework	framework	NOUN
ejpam-6884	617	8	with	with	ADP
ejpam-6884	617	9	optimal	optimal	ADJ
ejpam-6884	617	10	control	control	NOUN
ejpam-6884	617	11	methods	method	NOUN
ejpam-6884	617	12	and	and	CCONJ
ejpam-6884	617	13	time	time	NOUN
ejpam-6884	617	14	delays	delay	NOUN
ejpam-6884	617	15	and	and	CCONJ
ejpam-6884	617	16	validating	validate	VERB
ejpam-6884	617	17	the	the	DET
ejpam-6884	617	18	model	model	NOUN
ejpam-6884	617	19	using	use	VERB
ejpam-6884	617	20	real	real	ADJ
ejpam-6884	617	21	-	-	PUNCT
ejpam-6884	617	22	world	world	NOUN
ejpam-6884	617	23	epidemiological	epidemiological	ADJ
ejpam-6884	617	24	data	datum	NOUN
ejpam-6884	617	25	for	for	ADP
ejpam-6884	617	26	enhanced	enhanced	ADJ
ejpam-6884	617	27	predictive	predictive	ADJ
ejpam-6884	617	28	ability	ability	NOUN
ejpam-6884	617	29	.	.	PUNCT
ejpam-6884	618	1	acknowledgements	acknowledgement	NOUN
ejpam-6884	618	2	dr	dr	PROPN
ejpam-6884	618	3	.busayamas	.busayama	NOUN
ejpam-6884	618	4	pimpunchat	pimpunchat	PROPN
ejpam-6884	618	5	,	,	PUNCT
ejpam-6884	618	6	school	school	NOUN
ejpam-6884	618	7	of	of	ADP
ejpam-6884	618	8	science	science	NOUN
ejpam-6884	618	9	,	,	PUNCT
ejpam-6884	618	10	department	department	NOUN
ejpam-6884	618	11	of	of	ADP
ejpam-6884	618	12	mathematics	mathematic	NOUN
ejpam-6884	618	13	,	,	PUNCT
ejpam-6884	618	14	king	king	PROPN
ejpam-6884	618	15	mongkut	mongkut	PROPN
ejpam-6884	618	16	’s	’s	PROPN
ejpam-6884	618	17	institute	institute	PROPN
ejpam-6884	618	18	of	of	ADP
ejpam-6884	618	19	technology	technology	PROPN
ejpam-6884	618	20	ladkrabang	ladkrabang	PROPN
ejpam-6884	618	21	,	,	PUNCT
ejpam-6884	618	22	bangkok	bangkok	PROPN
ejpam-6884	618	23	,	,	PUNCT
ejpam-6884	618	24	10520	10520	NUM
ejpam-6884	618	25	,	,	PUNCT
ejpam-6884	618	26	thailand	thailand	PROPN
ejpam-6884	618	27	,	,	PUNCT
ejpam-6884	618	28	helped	help	VERB
ejpam-6884	618	29	in	in	ADP
ejpam-6884	618	30	the	the	DET
ejpam-6884	618	31	completion	completion	NOUN
ejpam-6884	618	32	of	of	ADP
ejpam-6884	618	33	this	this	DET
ejpam-6884	618	34	manuscript	manuscript	NOUN
ejpam-6884	618	35	.	.	PUNCT
ejpam-6884	619	1	declaration	declaration	NOUN
ejpam-6884	619	2	of	of	ADP
ejpam-6884	619	3	competing	compete	VERB
ejpam-6884	619	4	interest	interest	NOUN
ejpam-6884	619	5	the	the	DET
ejpam-6884	619	6	authors	author	NOUN
ejpam-6884	619	7	declare	declare	VERB
ejpam-6884	619	8	that	that	SCONJ
ejpam-6884	619	9	they	they	PRON
ejpam-6884	619	10	have	have	VERB
ejpam-6884	619	11	no	no	DET
ejpam-6884	619	12	known	know	VERB
ejpam-6884	619	13	competing	compete	VERB
ejpam-6884	619	14	financial	financial	ADJ
ejpam-6884	619	15	interests	interest	NOUN
ejpam-6884	619	16	or	or	CCONJ
ejpam-6884	619	17	personal	personal	ADJ
ejpam-6884	619	18	relationships	relationship	NOUN
ejpam-6884	619	19	that	that	PRON
ejpam-6884	619	20	could	could	AUX
ejpam-6884	619	21	have	have	AUX
ejpam-6884	619	22	appeared	appear	VERB
ejpam-6884	619	23	to	to	PART
ejpam-6884	619	24	influence	influence	VERB
ejpam-6884	619	25	the	the	DET
ejpam-6884	619	26	work	work	NOUN
ejpam-6884	619	27	reported	report	VERB
ejpam-6884	619	28	in	in	ADP
ejpam-6884	619	29	this	this	DET
ejpam-6884	619	30	paper	paper	NOUN
ejpam-6884	619	31	.	.	PUNCT
ejpam-6884	620	1	author	author	NOUN
ejpam-6884	620	2	’s	’s	PART
ejpam-6884	620	3	contribution	contribution	NOUN
ejpam-6884	620	4	all	all	DET
ejpam-6884	620	5	authors	author	NOUN
ejpam-6884	620	6	contributed	contribute	VERB
ejpam-6884	620	7	equally	equally	ADV
ejpam-6884	620	8	to	to	ADP
ejpam-6884	620	9	the	the	DET
ejpam-6884	620	10	manuscript	manuscript	NOUN
ejpam-6884	620	11	and	and	CCONJ
ejpam-6884	620	12	typed	type	VERB
ejpam-6884	620	13	,	,	PUNCT
ejpam-6884	620	14	read	read	VERB
ejpam-6884	620	15	,	,	PUNCT
ejpam-6884	620	16	and	and	CCONJ
ejpam-6884	620	17	approved	approve	VERB
ejpam-6884	620	18	the	the	DET
ejpam-6884	620	19	final	final	ADJ
ejpam-6884	620	20	manuscript	manuscript	NOUN
ejpam-6884	620	21	.	.	PUNCT
ejpam-6884	621	1	references	reference	NOUN
ejpam-6884	621	2	[	[	X
ejpam-6884	621	3	1	1	NUM
ejpam-6884	621	4	]	]	PUNCT
ejpam-6884	621	5	p.d.a	p.d.a	NOUN
ejpam-6884	621	6	qizi	qizi	NOUN
ejpam-6884	621	7	.	.	PUNCT
ejpam-6884	622	1	do	do	AUX
ejpam-6884	622	2	you	you	PRON
ejpam-6884	622	3	know	know	VERB
ejpam-6884	622	4	about	about	ADP
ejpam-6884	622	5	monkeypox	monkeypox	NOUN
ejpam-6884	622	6	or	or	CCONJ
ejpam-6884	622	7	mpox	mpox	NOUN
ejpam-6884	622	8	?	?	PUNCT
ejpam-6884	623	1	multidisciplinary	multidisciplinary	ADJ
ejpam-6884	623	2	journal	journal	NOUN
ejpam-6884	623	3	of	of	ADP
ejpam-6884	623	4	science	science	NOUN
ejpam-6884	623	5	and	and	CCONJ
ejpam-6884	623	6	technology	technology	NOUN
ejpam-6884	623	7	,	,	PUNCT
ejpam-6884	623	8	5(4):908–910	5(4):908–910	NUM
ejpam-6884	623	9	,	,	PUNCT
ejpam-6884	623	10	2025	2025	NUM
ejpam-6884	623	11	.	.	PUNCT
ejpam-6884	624	1	[	[	X
ejpam-6884	624	2	2	2	X
ejpam-6884	624	3	]	]	PUNCT
ejpam-6884	624	4	ana	ana	PROPN
ejpam-6884	624	5	hoxha	hoxha	PROPN
ejpam-6884	624	6	,	,	PUNCT
ejpam-6884	624	7	steven	steven	PROPN
ejpam-6884	624	8	m	m	PROPN
ejpam-6884	624	9	kerr	kerr	PROPN
ejpam-6884	624	10	,	,	PUNCT
ejpam-6884	624	11	henry	henry	PROPN
ejpam-6884	624	12	laurenson	laurenson	PROPN
ejpam-6884	624	13	-	-	PUNCT
ejpam-6884	624	14	schafer	schafer	PROPN
ejpam-6884	624	15	,	,	PUNCT
ejpam-6884	624	16	nikola	nikola	PROPN
ejpam-6884	624	17	sklenovská	sklenovská	PROPN
ejpam-6884	624	18	,	,	PUNCT
ejpam-6884	624	19	bernadette	bernadette	PROPN
ejpam-6884	624	20	basuta	basuta	PROPN
ejpam-6884	624	21	mirembe	mirembe	PROPN
ejpam-6884	624	22	,	,	PUNCT
ejpam-6884	624	23	et	et	PROPN
ejpam-6884	624	24	al	al	PROPN
ejpam-6884	624	25	.	.	PROPN
ejpam-6884	624	26	mpox	mpox	NOUN
ejpam-6884	624	27	in	in	ADP
ejpam-6884	624	28	children	child	NOUN
ejpam-6884	624	29	and	and	CCONJ
ejpam-6884	624	30	adolescents	adolescent	NOUN
ejpam-6884	624	31	during	during	ADP
ejpam-6884	624	32	multicountry	multicountry	NOUN
ejpam-6884	624	33	outbreak	outbreak	NOUN
ejpam-6884	624	34	,	,	PUNCT
ejpam-6884	624	35	2022–2023	2022–2023	NUM
ejpam-6884	624	36	.	.	PUNCT
ejpam-6884	624	37	emerging	emerge	VERB
ejpam-6884	624	38	infectious	infectious	ADJ
ejpam-6884	624	39	diseases	disease	NOUN
ejpam-6884	624	40	,	,	PUNCT
ejpam-6884	624	41	29(10):2125	29(10):2125	NUM
ejpam-6884	624	42	,	,	PUNCT
ejpam-6884	624	43	2023	2023	NUM
ejpam-6884	624	44	.	.	PUNCT
ejpam-6884	625	1	[	[	X
ejpam-6884	625	2	3	3	X
ejpam-6884	625	3	]	]	X
ejpam-6884	625	4	junjie	junjie	PROPN
ejpam-6884	625	5	lu	lu	PROPN
ejpam-6884	625	6	,	,	PUNCT
ejpam-6884	625	7	hui	hui	PROPN
ejpam-6884	625	8	xing	xing	PROPN
ejpam-6884	625	9	,	,	PUNCT
ejpam-6884	625	10	chunhua	chunhua	PROPN
ejpam-6884	625	11	wang	wang	PROPN
ejpam-6884	625	12	,	,	PUNCT
ejpam-6884	625	13	mengjun	mengjun	PROPN
ejpam-6884	625	14	tang	tang	PROPN
ejpam-6884	625	15	,	,	PUNCT
ejpam-6884	625	16	changcheng	changcheng	PROPN
ejpam-6884	625	17	wu	wu	PROPN
ejpam-6884	625	18	,	,	PUNCT
ejpam-6884	625	19	fan	fan	PROPN
ejpam-6884	625	20	ye	ye	PROPN
ejpam-6884	625	21	,	,	PUNCT
ejpam-6884	625	22	lijuan	lijuan	PROPN
ejpam-6884	625	23	yin	yin	PROPN
ejpam-6884	625	24	,	,	PUNCT
ejpam-6884	625	25	yang	yang	PROPN
ejpam-6884	625	26	yang	yang	PROPN
ejpam-6884	625	27	,	,	PUNCT
ejpam-6884	625	28	wenjie	wenjie	PROPN
ejpam-6884	625	29	tan	tan	PROPN
ejpam-6884	625	30	,	,	PUNCT
ejpam-6884	625	31	and	and	CCONJ
ejpam-6884	625	32	liang	liang	PROPN
ejpam-6884	625	33	shen	shen	PROPN
ejpam-6884	625	34	.	.	PUNCT
ejpam-6884	626	1	mpox	mpox	NOUN
ejpam-6884	626	2	(	(	PUNCT
ejpam-6884	626	3	formerly	formerly	ADV
ejpam-6884	626	4	monkeypox	monkeypox	NOUN
ejpam-6884	626	5	):	):	PUNCT
ejpam-6884	626	6	v.	v.	ADP
ejpam-6884	626	7	govindan	govindan	PROPN
ejpam-6884	626	8	et	et	PROPN
ejpam-6884	626	9	al	al	PROPN
ejpam-6884	626	10	.	.	PUNCT
ejpam-6884	626	11	/	/	SYM
ejpam-6884	626	12	eur	eur	PROPN
ejpam-6884	626	13	.	.	PUNCT
ejpam-6884	627	1	j.	j.	PROPN
ejpam-6884	627	2	pure	pure	PROPN
ejpam-6884	627	3	appl	appl	PROPN
ejpam-6884	627	4	.	.	PROPN
ejpam-6884	627	5	math	math	PROPN
ejpam-6884	627	6	,	,	PUNCT
ejpam-6884	627	7	18	18	NUM
ejpam-6884	627	8	(	(	PUNCT
ejpam-6884	627	9	4	4	NUM
ejpam-6884	627	10	)	)	PUNCT
ejpam-6884	627	11	(	(	PUNCT
ejpam-6884	627	12	2025	2025	NUM
ejpam-6884	627	13	)	)	PUNCT
ejpam-6884	627	14	,	,	PUNCT
ejpam-6884	627	15	6884	6884	NUM
ejpam-6884	627	16	26	26	NUM
ejpam-6884	627	17	of	of	ADP
ejpam-6884	627	18	29	29	NUM
ejpam-6884	627	19	pathogenesis	pathogenesis	NOUN
ejpam-6884	627	20	,	,	PUNCT
ejpam-6884	627	21	prevention	prevention	NOUN
ejpam-6884	627	22	and	and	CCONJ
ejpam-6884	627	23	treatment	treatment	NOUN
ejpam-6884	627	24	.	.	PUNCT
ejpam-6884	628	1	signal	signal	ADJ
ejpam-6884	628	2	transduction	transduction	NOUN
ejpam-6884	628	3	and	and	CCONJ
ejpam-6884	628	4	targeted	target	VERB
ejpam-6884	628	5	therapy	therapy	NOUN
ejpam-6884	628	6	,	,	PUNCT
ejpam-6884	628	7	8(1):458	8(1):458	NUM
ejpam-6884	628	8	,	,	PUNCT
ejpam-6884	628	9	2023	2023	NUM
ejpam-6884	628	10	.	.	PUNCT
ejpam-6884	629	1	[	[	X
ejpam-6884	629	2	4	4	NUM
ejpam-6884	629	3	]	]	X
ejpam-6884	629	4	aysel	aysel	PROPN
ejpam-6884	629	5	karagoz	karagoz	PROPN
ejpam-6884	629	6	,	,	PUNCT
ejpam-6884	629	7	huseyin	huseyin	PROPN
ejpam-6884	629	8	tombuloglu	tombuloglu	PROPN
ejpam-6884	629	9	,	,	PUNCT
ejpam-6884	629	10	moneerah	moneerah	PROPN
ejpam-6884	629	11	alsaeed	alsaeed	NOUN
ejpam-6884	629	12	,	,	PUNCT
ejpam-6884	629	13	guzin	guzin	NOUN
ejpam-6884	629	14	tombuloglu	tombuloglu	PROPN
ejpam-6884	629	15	,	,	PUNCT
ejpam-6884	629	16	abdullah	abdullah	VERB
ejpam-6884	629	17	a	a	DET
ejpam-6884	629	18	alrubaish	alrubaish	NOUN
ejpam-6884	629	19	,	,	PUNCT
ejpam-6884	629	20	amal	amal	PROPN
ejpam-6884	629	21	mahmoud	mahmoud	PROPN
ejpam-6884	629	22	,	,	PUNCT
ejpam-6884	629	23	samira	samira	PROPN
ejpam-6884	629	24	smajlović	smajlović	NOUN
ejpam-6884	629	25	,	,	PUNCT
ejpam-6884	629	26	sabahudin	sabahudin	PROPN
ejpam-6884	629	27	ćordić	ćordić	PROPN
ejpam-6884	629	28	,	,	PUNCT
ejpam-6884	629	29	ali	ali	PROPN
ejpam-6884	629	30	a	a	DET
ejpam-6884	629	31	rabaan	rabaan	NOUN
ejpam-6884	629	32	,	,	PUNCT
ejpam-6884	629	33	and	and	CCONJ
ejpam-6884	629	34	ebtesam	ebtesam	PROPN
ejpam-6884	629	35	alsuhaimi	alsuhaimi	PROPN
ejpam-6884	629	36	.	.	PUNCT
ejpam-6884	630	1	monkeypox	monkeypox	PROPN
ejpam-6884	630	2	(	(	PUNCT
ejpam-6884	630	3	mpox	mpox	NOUN
ejpam-6884	630	4	)	)	PUNCT
ejpam-6884	630	5	virus	virus	NOUN
ejpam-6884	630	6	:	:	PUNCT
ejpam-6884	630	7	classification	classification	NOUN
ejpam-6884	630	8	,	,	PUNCT
ejpam-6884	630	9	origin	origin	NOUN
ejpam-6884	630	10	,	,	PUNCT
ejpam-6884	630	11	transmission	transmission	NOUN
ejpam-6884	630	12	,	,	PUNCT
ejpam-6884	630	13	genome	genome	NOUN
ejpam-6884	630	14	organization	organization	NOUN
ejpam-6884	630	15	,	,	PUNCT
ejpam-6884	630	16	antiviral	antiviral	ADJ
ejpam-6884	630	17	drugs	drug	NOUN
ejpam-6884	630	18	,	,	PUNCT
ejpam-6884	630	19	and	and	CCONJ
ejpam-6884	630	20	molecular	molecular	ADJ
ejpam-6884	630	21	diagnosis	diagnosis	NOUN
ejpam-6884	630	22	.	.	PUNCT
ejpam-6884	631	1	journal	journal	NOUN
ejpam-6884	631	2	of	of	ADP
ejpam-6884	631	3	infection	infection	NOUN
ejpam-6884	631	4	and	and	CCONJ
ejpam-6884	631	5	public	public	ADJ
ejpam-6884	631	6	health	health	NOUN
ejpam-6884	631	7	,	,	PUNCT
ejpam-6884	631	8	16(4):531–541	16(4):531–541	NUM
ejpam-6884	631	9	,	,	PUNCT
ejpam-6884	631	10	2023	2023	NUM
ejpam-6884	631	11	.	.	PUNCT
ejpam-6884	632	1	[	[	X
ejpam-6884	632	2	5	5	NUM
ejpam-6884	632	3	]	]	PUNCT
ejpam-6884	632	4	world	world	PROPN
ejpam-6884	632	5	health	health	NOUN
ejpam-6884	632	6	organization	organization	NOUN
ejpam-6884	632	7	(	(	PUNCT
ejpam-6884	632	8	who	who	PRON
ejpam-6884	632	9	)	)	PUNCT
ejpam-6884	632	10	.	.	PUNCT
ejpam-6884	633	1	mpox	mpox	NOUN
ejpam-6884	633	2	(	(	PUNCT
ejpam-6884	633	3	monkeypox	monkeypox	PROPN
ejpam-6884	633	4	)	)	PUNCT
ejpam-6884	633	5	,	,	PUNCT
ejpam-6884	633	6	2024	2024	NUM
ejpam-6884	633	7	.	.	PUNCT
ejpam-6884	634	1	[	[	X
ejpam-6884	634	2	6	6	NUM
ejpam-6884	634	3	]	]	X
ejpam-6884	634	4	john	john	PROPN
ejpam-6884	634	5	p	p	PROPN
ejpam-6884	634	6	thornhill	thornhill	PROPN
ejpam-6884	634	7	,	,	PUNCT
ejpam-6884	634	8	sapha	sapha	PROPN
ejpam-6884	634	9	barkati	barkati	PROPN
ejpam-6884	634	10	,	,	PUNCT
ejpam-6884	634	11	sharon	sharon	PROPN
ejpam-6884	634	12	walmsley	walmsley	PROPN
ejpam-6884	634	13	,	,	PUNCT
ejpam-6884	634	14	juergen	juergen	PROPN
ejpam-6884	634	15	rockstroh	rockstroh	PROPN
ejpam-6884	634	16	,	,	PUNCT
ejpam-6884	634	17	andrea	andrea	PROPN
ejpam-6884	634	18	antinori	antinori	PROPN
ejpam-6884	634	19	,	,	PUNCT
ejpam-6884	634	20	luke	luke	PROPN
ejpam-6884	634	21	b	b	PROPN
ejpam-6884	634	22	harrison	harrison	PROPN
ejpam-6884	634	23	,	,	PUNCT
ejpam-6884	634	24	romain	romain	X
ejpam-6884	634	25	palich	palich	NOUN
ejpam-6884	634	26	,	,	PUNCT
ejpam-6884	634	27	achyuta	achyuta	PROPN
ejpam-6884	634	28	nori	nori	PROPN
ejpam-6884	634	29	,	,	PUNCT
ejpam-6884	634	30	iain	iain	PROPN
ejpam-6884	634	31	reeves	reeves	PROPN
ejpam-6884	634	32	,	,	PUNCT
ejpam-6884	634	33	maximillian	maximillian	PROPN
ejpam-6884	634	34	s	s	PART
ejpam-6884	634	35	habibi	habibi	PROPN
ejpam-6884	634	36	,	,	PUNCT
ejpam-6884	634	37	et	et	PROPN
ejpam-6884	634	38	al	al	PROPN
ejpam-6884	634	39	.	.	PROPN
ejpam-6884	634	40	monkeypox	monkeypox	PROPN
ejpam-6884	634	41	virus	virus	NOUN
ejpam-6884	634	42	infection	infection	NOUN
ejpam-6884	634	43	in	in	ADP
ejpam-6884	634	44	humans	human	NOUN
ejpam-6884	634	45	across	across	ADP
ejpam-6884	634	46	16	16	NUM
ejpam-6884	634	47	countries	country	NOUN
ejpam-6884	634	48	—	—	PUNCT
ejpam-6884	634	49	april	april	PROPN
ejpam-6884	634	50	–	–	PUNCT
ejpam-6884	634	51	june	june	PROPN
ejpam-6884	634	52	2022	2022	NUM
ejpam-6884	634	53	.	.	PUNCT
ejpam-6884	635	1	new	new	PROPN
ejpam-6884	635	2	england	england	PROPN
ejpam-6884	635	3	journal	journal	PROPN
ejpam-6884	635	4	of	of	ADP
ejpam-6884	635	5	medicine	medicine	NOUN
ejpam-6884	635	6	,	,	PUNCT
ejpam-6884	635	7	387(8):679–691	387(8):679–691	NUM
ejpam-6884	635	8	,	,	PUNCT
ejpam-6884	635	9	2022	2022	NUM
ejpam-6884	635	10	.	.	PUNCT
ejpam-6884	636	1	[	[	X
ejpam-6884	636	2	7	7	X
ejpam-6884	636	3	]	]	X
ejpam-6884	636	4	mary	mary	PROPN
ejpam-6884	636	5	g	g	PROPN
ejpam-6884	636	6	reynolds	reynolds	PROPN
ejpam-6884	636	7	and	and	CCONJ
ejpam-6884	636	8	inger	inger	PROPN
ejpam-6884	636	9	k	k	PROPN
ejpam-6884	636	10	damon	damon	PROPN
ejpam-6884	636	11	.	.	PUNCT
ejpam-6884	637	1	outbreaks	outbreak	NOUN
ejpam-6884	637	2	of	of	ADP
ejpam-6884	637	3	human	human	ADJ
ejpam-6884	637	4	monkeypox	monkeypox	NOUN
ejpam-6884	637	5	after	after	ADP
ejpam-6884	637	6	cessation	cessation	NOUN
ejpam-6884	637	7	of	of	ADP
ejpam-6884	637	8	smallpox	smallpox	NOUN
ejpam-6884	637	9	vaccination	vaccination	NOUN
ejpam-6884	637	10	.	.	PUNCT
ejpam-6884	638	1	trends	trend	NOUN
ejpam-6884	638	2	in	in	ADP
ejpam-6884	638	3	microbiology	microbiology	NOUN
ejpam-6884	638	4	,	,	PUNCT
ejpam-6884	638	5	20(2):80–87	20(2):80–87	NUM
ejpam-6884	638	6	,	,	PUNCT
ejpam-6884	638	7	2012	2012	NUM
ejpam-6884	638	8	.	.	PUNCT
ejpam-6884	639	1	[	[	X
ejpam-6884	639	2	8	8	NUM
ejpam-6884	639	3	]	]	PUNCT
ejpam-6884	639	4	xiefei	xiefei	PROPN
ejpam-6884	639	5	yan	yan	PROPN
ejpam-6884	639	6	and	and	CCONJ
ejpam-6884	639	7	yun	yun	PROPN
ejpam-6884	639	8	zou	zou	PROPN
ejpam-6884	639	9	.	.	PUNCT
ejpam-6884	640	1	optimal	optimal	ADJ
ejpam-6884	640	2	and	and	CCONJ
ejpam-6884	640	3	sub	sub	ADJ
ejpam-6884	640	4	-	-	ADJ
ejpam-6884	640	5	optimal	optimal	ADJ
ejpam-6884	640	6	quarantine	quarantine	NOUN
ejpam-6884	640	7	and	and	CCONJ
ejpam-6884	640	8	isolation	isolation	NOUN
ejpam-6884	640	9	control	control	NOUN
ejpam-6884	640	10	in	in	ADP
ejpam-6884	640	11	sars	sars	PROPN
ejpam-6884	640	12	epidemics	epidemic	NOUN
ejpam-6884	640	13	.	.	PUNCT
ejpam-6884	641	1	mathematical	mathematical	ADJ
ejpam-6884	641	2	and	and	CCONJ
ejpam-6884	641	3	computer	computer	NOUN
ejpam-6884	641	4	modelling	modelling	NOUN
ejpam-6884	641	5	,	,	PUNCT
ejpam-6884	641	6	47(1	47(1	NUM
ejpam-6884	641	7	-	-	PUNCT
ejpam-6884	641	8	2):235–245	2):235–245	NUM
ejpam-6884	641	9	,	,	PUNCT
ejpam-6884	641	10	2008	2008	NUM
ejpam-6884	641	11	.	.	PUNCT
ejpam-6884	642	1	[	[	X
ejpam-6884	642	2	9	9	NUM
ejpam-6884	642	3	]	]	X
ejpam-6884	642	4	william	william	PROPN
ejpam-6884	642	5	ogilvy	ogilvy	PROPN
ejpam-6884	642	6	kermack	kermack	PROPN
ejpam-6884	642	7	and	and	CCONJ
ejpam-6884	642	8	anderson	anderson	PROPN
ejpam-6884	642	9	g	g	PROPN
ejpam-6884	642	10	mckendrick	mckendrick	PROPN
ejpam-6884	642	11	.	.	PUNCT
ejpam-6884	643	1	a	a	DET
ejpam-6884	643	2	contribution	contribution	NOUN
ejpam-6884	643	3	to	to	ADP
ejpam-6884	643	4	the	the	DET
ejpam-6884	643	5	mathematical	mathematical	ADJ
ejpam-6884	643	6	theory	theory	NOUN
ejpam-6884	643	7	of	of	ADP
ejpam-6884	643	8	epidemics	epidemic	NOUN
ejpam-6884	643	9	.	.	PUNCT
ejpam-6884	644	1	proceedings	proceeding	NOUN
ejpam-6884	644	2	of	of	ADP
ejpam-6884	644	3	the	the	DET
ejpam-6884	644	4	royal	royal	ADJ
ejpam-6884	644	5	society	society	NOUN
ejpam-6884	644	6	of	of	ADP
ejpam-6884	644	7	london	london	PROPN
ejpam-6884	644	8	.	.	PUNCT
ejpam-6884	645	1	series	series	PROPN
ejpam-6884	645	2	a	a	PROPN
ejpam-6884	645	3	,	,	PUNCT
ejpam-6884	645	4	containing	contain	VERB
ejpam-6884	645	5	papers	paper	NOUN
ejpam-6884	645	6	of	of	ADP
ejpam-6884	645	7	a	a	DET
ejpam-6884	645	8	mathematical	mathematical	ADJ
ejpam-6884	645	9	and	and	CCONJ
ejpam-6884	645	10	physical	physical	ADJ
ejpam-6884	645	11	character	character	NOUN
ejpam-6884	645	12	,	,	PUNCT
ejpam-6884	645	13	115(772):700–721	115(772):700–721	NUM
ejpam-6884	645	14	,	,	PUNCT
ejpam-6884	645	15	1927	1927	NUM
ejpam-6884	645	16	.	.	PUNCT
ejpam-6884	646	1	[	[	X
ejpam-6884	646	2	10	10	NUM
ejpam-6884	646	3	]	]	X
ejpam-6884	646	4	anuj	anuj	PROPN
ejpam-6884	646	5	kumar	kumar	PROPN
ejpam-6884	646	6	and	and	CCONJ
ejpam-6884	646	7	prashant	prashant	PROPN
ejpam-6884	646	8	k	k	PROPN
ejpam-6884	646	9	srivastava	srivastava	PROPN
ejpam-6884	646	10	.	.	PUNCT
ejpam-6884	646	11	vaccination	vaccination	NOUN
ejpam-6884	646	12	and	and	CCONJ
ejpam-6884	646	13	treatment	treatment	NOUN
ejpam-6884	646	14	as	as	ADP
ejpam-6884	646	15	control	control	NOUN
ejpam-6884	646	16	interventions	intervention	NOUN
ejpam-6884	646	17	in	in	ADP
ejpam-6884	646	18	an	an	DET
ejpam-6884	646	19	infectious	infectious	ADJ
ejpam-6884	646	20	disease	disease	NOUN
ejpam-6884	646	21	model	model	NOUN
ejpam-6884	646	22	with	with	ADP
ejpam-6884	646	23	their	their	PRON
ejpam-6884	646	24	cost	cost	NOUN
ejpam-6884	646	25	optimization	optimization	NOUN
ejpam-6884	646	26	.	.	PUNCT
ejpam-6884	647	1	communications	communication	NOUN
ejpam-6884	647	2	in	in	ADP
ejpam-6884	647	3	nonlinear	nonlinear	ADJ
ejpam-6884	647	4	science	science	NOUN
ejpam-6884	647	5	and	and	CCONJ
ejpam-6884	647	6	numerical	numerical	PROPN
ejpam-6884	647	7	simulation	simulation	PROPN
ejpam-6884	647	8	,	,	PUNCT
ejpam-6884	647	9	44:334–343	44:334–343	PROPN
ejpam-6884	647	10	,	,	PUNCT
ejpam-6884	647	11	2017	2017	NUM
ejpam-6884	647	12	.	.	PUNCT
ejpam-6884	648	1	[	[	X
ejpam-6884	648	2	11	11	NUM
ejpam-6884	648	3	]	]	PUNCT
ejpam-6884	648	4	ririt	ririt	PROPN
ejpam-6884	648	5	andria	andria	PROPN
ejpam-6884	648	6	sari	sari	PROPN
ejpam-6884	648	7	,	,	PUNCT
ejpam-6884	648	8	ummu	ummu	ADJ
ejpam-6884	648	9	habibah	habibah	NOUN
ejpam-6884	648	10	,	,	PUNCT
ejpam-6884	648	11	and	and	CCONJ
ejpam-6884	648	12	agus	agus	PROPN
ejpam-6884	648	13	widodo	widodo	PROPN
ejpam-6884	648	14	.	.	PUNCT
ejpam-6884	649	1	optimal	optimal	ADJ
ejpam-6884	649	2	control	control	NOUN
ejpam-6884	649	3	on	on	ADP
ejpam-6884	649	4	model	model	NOUN
ejpam-6884	649	5	of	of	ADP
ejpam-6884	649	6	sars	sars	PROPN
ejpam-6884	649	7	disease	disease	NOUN
ejpam-6884	649	8	spread	spread	VERB
ejpam-6884	649	9	with	with	ADP
ejpam-6884	649	10	vaccination	vaccination	NOUN
ejpam-6884	649	11	and	and	CCONJ
ejpam-6884	649	12	treatment	treatment	NOUN
ejpam-6884	649	13	.	.	PUNCT
ejpam-6884	650	1	the	the	DET
ejpam-6884	650	2	journal	journal	NOUN
ejpam-6884	650	3	of	of	ADP
ejpam-6884	650	4	experimental	experimental	ADJ
ejpam-6884	650	5	life	life	NOUN
ejpam-6884	650	6	science	science	NOUN
ejpam-6884	650	7	,	,	PUNCT
ejpam-6884	650	8	7(2):61–68	7(2):61–68	NUM
ejpam-6884	650	9	,	,	PUNCT
ejpam-6884	650	10	2017	2017	NUM
ejpam-6884	650	11	.	.	PUNCT
ejpam-6884	651	1	[	[	X
ejpam-6884	651	2	12	12	NUM
ejpam-6884	651	3	]	]	PUNCT
ejpam-6884	651	4	abdelbar	abdelbar	PROPN
ejpam-6884	651	5	el	el	PROPN
ejpam-6884	651	6	mansouri	mansouri	PROPN
ejpam-6884	651	7	,	,	PUNCT
ejpam-6884	651	8	abderrahim	abderrahim	PROPN
ejpam-6884	651	9	labzai	labzai	PROPN
ejpam-6884	651	10	,	,	PUNCT
ejpam-6884	651	11	mohamed	mohamed	PROPN
ejpam-6884	651	12	belam	belam	PROPN
ejpam-6884	651	13	,	,	PUNCT
ejpam-6884	651	14	and	and	CCONJ
ejpam-6884	651	15	mostafa	mostafa	PROPN
ejpam-6884	651	16	rachik	rachik	PROPN
ejpam-6884	651	17	.	.	PUNCT
ejpam-6884	652	1	mathematical	mathematical	ADJ
ejpam-6884	652	2	modeling	modeling	NOUN
ejpam-6884	652	3	and	and	CCONJ
ejpam-6884	652	4	optimal	optimal	ADJ
ejpam-6884	652	5	control	control	NOUN
ejpam-6884	652	6	strategy	strategy	NOUN
ejpam-6884	652	7	for	for	ADP
ejpam-6884	652	8	the	the	DET
ejpam-6884	652	9	obesity	obesity	NOUN
ejpam-6884	652	10	epidemic	epidemic	NOUN
ejpam-6884	652	11	.	.	PUNCT
ejpam-6884	653	1	commun	commun	PROPN
ejpam-6884	653	2	.	.	PUNCT
ejpam-6884	654	1	math	math	NOUN
ejpam-6884	654	2	.	.	PUNCT
ejpam-6884	655	1	biol	biol	PROPN
ejpam-6884	655	2	.	.	PUNCT
ejpam-6884	656	1	neurosci	neurosci	PROPN
ejpam-6884	656	2	.	.	PUNCT
ejpam-6884	656	3	,	,	PUNCT
ejpam-6884	656	4	2022	2022	NUM
ejpam-6884	656	5	:	:	PUNCT
ejpam-6884	656	6	article	article	NOUN
ejpam-6884	656	7	–	–	PUNCT
ejpam-6884	656	8	id	id	NOUN
ejpam-6884	656	9	,	,	PUNCT
ejpam-6884	656	10	2022	2022	NUM
ejpam-6884	656	11	.	.	PUNCT
ejpam-6884	657	1	[	[	X
ejpam-6884	657	2	13	13	NUM
ejpam-6884	657	3	]	]	X
ejpam-6884	657	4	abdelhak	abdelhak	NOUN
ejpam-6884	657	5	essounaini	essounaini	NOUN
ejpam-6884	657	6	,	,	PUNCT
ejpam-6884	657	7	abderrahim	abderrahim	PROPN
ejpam-6884	657	8	labzai	labzai	PROPN
ejpam-6884	657	9	,	,	PUNCT
ejpam-6884	657	10	hassan	hassan	PROPN
ejpam-6884	657	11	laarabi	laarabi	PROPN
ejpam-6884	657	12	,	,	PUNCT
ejpam-6884	657	13	and	and	CCONJ
ejpam-6884	657	14	mostafa	mostafa	PROPN
ejpam-6884	657	15	rachik	rachik	PROPN
ejpam-6884	657	16	.	.	PUNCT
ejpam-6884	658	1	mathematical	mathematical	ADJ
ejpam-6884	658	2	modeling	modeling	NOUN
ejpam-6884	658	3	and	and	CCONJ
ejpam-6884	658	4	optimal	optimal	ADJ
ejpam-6884	658	5	control	control	NOUN
ejpam-6884	658	6	strategy	strategy	NOUN
ejpam-6884	658	7	for	for	ADP
ejpam-6884	658	8	a	a	DET
ejpam-6884	658	9	discrete	discrete	ADJ
ejpam-6884	658	10	time	time	NOUN
ejpam-6884	658	11	model	model	NOUN
ejpam-6884	658	12	of	of	ADP
ejpam-6884	658	13	covid-19	covid-19	PROPN
ejpam-6884	658	14	variants	variant	NOUN
ejpam-6884	658	15	.	.	PUNCT
ejpam-6884	659	1	commun	commun	PROPN
ejpam-6884	659	2	.	.	PUNCT
ejpam-6884	660	1	math	math	NOUN
ejpam-6884	660	2	.	.	PUNCT
ejpam-6884	661	1	biol	biol	PROPN
ejpam-6884	661	2	.	.	PUNCT
ejpam-6884	662	1	neurosci	neurosci	PROPN
ejpam-6884	662	2	.	.	PUNCT
ejpam-6884	662	3	,	,	PUNCT
ejpam-6884	662	4	2022	2022	NUM
ejpam-6884	662	5	:	:	PUNCT
ejpam-6884	662	6	article	article	NOUN
ejpam-6884	662	7	–	–	PUNCT
ejpam-6884	662	8	id	id	NOUN
ejpam-6884	662	9	,	,	PUNCT
ejpam-6884	662	10	2022	2022	NUM
ejpam-6884	662	11	.	.	PUNCT
ejpam-6884	663	1	[	[	X
ejpam-6884	663	2	14	14	NUM
ejpam-6884	663	3	]	]	X
ejpam-6884	663	4	bouchaib	bouchaib	PROPN
ejpam-6884	663	5	khajji	khajji	NOUN
ejpam-6884	663	6	,	,	PUNCT
ejpam-6884	663	7	driss	driss	PROPN
ejpam-6884	663	8	kada	kada	PROPN
ejpam-6884	663	9	,	,	PUNCT
ejpam-6884	663	10	omar	omar	PROPN
ejpam-6884	663	11	balatif	balatif	PROPN
ejpam-6884	663	12	,	,	PUNCT
ejpam-6884	663	13	and	and	CCONJ
ejpam-6884	663	14	mostafa	mostafa	PROPN
ejpam-6884	663	15	rachik	rachik	PROPN
ejpam-6884	663	16	.	.	PUNCT
ejpam-6884	664	1	a	a	DET
ejpam-6884	664	2	multi	multi	ADJ
ejpam-6884	664	3	-	-	ADJ
ejpam-6884	664	4	region	region	ADJ
ejpam-6884	664	5	discrete	discrete	ADJ
ejpam-6884	664	6	time	time	NOUN
ejpam-6884	664	7	mathematical	mathematical	ADJ
ejpam-6884	664	8	modeling	modeling	NOUN
ejpam-6884	664	9	of	of	ADP
ejpam-6884	664	10	the	the	DET
ejpam-6884	664	11	dynamics	dynamic	NOUN
ejpam-6884	664	12	of	of	ADP
ejpam-6884	664	13	covid-19	covid-19	PROPN
ejpam-6884	664	14	virus	virus	NOUN
ejpam-6884	664	15	propagation	propagation	NOUN
ejpam-6884	664	16	using	use	VERB
ejpam-6884	664	17	optimal	optimal	ADJ
ejpam-6884	664	18	control	control	NOUN
ejpam-6884	664	19	.	.	PUNCT
ejpam-6884	665	1	journal	journal	PROPN
ejpam-6884	665	2	of	of	ADP
ejpam-6884	665	3	applied	apply	VERB
ejpam-6884	665	4	mathematics	mathematic	NOUN
ejpam-6884	665	5	and	and	CCONJ
ejpam-6884	665	6	computing	computing	NOUN
ejpam-6884	665	7	,	,	PUNCT
ejpam-6884	665	8	64(1):255	64(1):255	PROPN
ejpam-6884	665	9	–	–	PUNCT
ejpam-6884	665	10	281	281	NUM
ejpam-6884	665	11	,	,	PUNCT
ejpam-6884	665	12	2020	2020	NUM
ejpam-6884	665	13	.	.	PUNCT
ejpam-6884	666	1	[	[	X
ejpam-6884	666	2	15	15	NUM
ejpam-6884	666	3	]	]	X
ejpam-6884	666	4	a	a	DET
ejpam-6884	666	5	labzai	labzai	NOUN
ejpam-6884	666	6	,	,	PUNCT
ejpam-6884	666	7	a	a	DET
ejpam-6884	666	8	kouidere	kouidere	NOUN
ejpam-6884	666	9	,	,	PUNCT
ejpam-6884	666	10	o	o	NOUN
ejpam-6884	666	11	balatif	balatif	NOUN
ejpam-6884	666	12	,	,	PUNCT
ejpam-6884	666	13	and	and	CCONJ
ejpam-6884	666	14	m	m	PROPN
ejpam-6884	666	15	rachik	rachik	NOUN
ejpam-6884	666	16	.	.	PUNCT
ejpam-6884	667	1	stability	stability	NOUN
ejpam-6884	667	2	analysis	analysis	NOUN
ejpam-6884	667	3	of	of	ADP
ejpam-6884	667	4	mathematical	mathematical	ADJ
ejpam-6884	667	5	model	model	NOUN
ejpam-6884	667	6	new	new	PROPN
ejpam-6884	667	7	corona	corona	PROPN
ejpam-6884	667	8	virus	virus	NOUN
ejpam-6884	667	9	(	(	PUNCT
ejpam-6884	667	10	covid-19	covid-19	PROPN
ejpam-6884	667	11	)	)	PUNCT
ejpam-6884	667	12	disease	disease	NOUN
ejpam-6884	667	13	spread	spread	VERB
ejpam-6884	667	14	in	in	ADP
ejpam-6884	667	15	population	population	NOUN
ejpam-6884	667	16	.	.	PUNCT
ejpam-6884	668	1	communications	communication	NOUN
ejpam-6884	668	2	in	in	ADP
ejpam-6884	668	3	mathematical	mathematical	ADJ
ejpam-6884	668	4	biology	biology	NOUN
ejpam-6884	668	5	and	and	CCONJ
ejpam-6884	668	6	neuroscience	neuroscience	NOUN
ejpam-6884	668	7	,	,	PUNCT
ejpam-6884	668	8	2020:41	2020:41	NUM
ejpam-6884	668	9	,	,	PUNCT
ejpam-6884	668	10	2020	2020	NUM
ejpam-6884	668	11	.	.	PUNCT
ejpam-6884	669	1	[	[	X
ejpam-6884	669	2	16	16	NUM
ejpam-6884	669	3	]	]	X
ejpam-6884	669	4	b	b	X
ejpam-6884	669	5	khajji	khajji	NOUN
ejpam-6884	669	6	,	,	PUNCT
ejpam-6884	669	7	l	l	PROPN
ejpam-6884	669	8	boujallal	boujallal	PROPN
ejpam-6884	669	9	,	,	PUNCT
ejpam-6884	669	10	m	m	VERB
ejpam-6884	669	11	elhia	elhia	ADJ
ejpam-6884	669	12	,	,	PUNCT
ejpam-6884	669	13	o	o	NOUN
ejpam-6884	669	14	balatif	balatif	NOUN
ejpam-6884	669	15	,	,	PUNCT
ejpam-6884	669	16	and	and	CCONJ
ejpam-6884	669	17	m	m	PROPN
ejpam-6884	669	18	rachik	rachik	NOUN
ejpam-6884	669	19	.	.	PUNCT
ejpam-6884	670	1	a	a	DET
ejpam-6884	670	2	fractional	fractional	ADJ
ejpam-6884	670	3	-	-	PUNCT
ejpam-6884	670	4	order	order	NOUN
ejpam-6884	670	5	model	model	NOUN
ejpam-6884	670	6	for	for	ADP
ejpam-6884	670	7	drinking	drink	VERB
ejpam-6884	670	8	alcohol	alcohol	NOUN
ejpam-6884	670	9	behaviour	behaviour	NOUN
ejpam-6884	670	10	leading	lead	VERB
ejpam-6884	670	11	to	to	ADP
ejpam-6884	670	12	road	road	NOUN
ejpam-6884	670	13	accidents	accident	NOUN
ejpam-6884	670	14	and	and	CCONJ
ejpam-6884	670	15	violence	violence	NOUN
ejpam-6884	670	16	.	.	PUNCT
ejpam-6884	671	1	mathematical	mathematical	ADJ
ejpam-6884	671	2	modeling	modeling	NOUN
ejpam-6884	671	3	and	and	CCONJ
ejpam-6884	671	4	computing	computing	NOUN
ejpam-6884	671	5	,	,	PUNCT
ejpam-6884	671	6	9(3):501–518	9(3):501–518	NUM
ejpam-6884	671	7	,	,	PUNCT
ejpam-6884	671	8	2022	2022	NUM
ejpam-6884	671	9	.	.	PUNCT
ejpam-6884	672	1	[	[	X
ejpam-6884	672	2	17	17	NUM
ejpam-6884	672	3	]	]	X
ejpam-6884	672	4	m	m	VERB
ejpam-6884	672	5	sadki	sadki	ADJ
ejpam-6884	672	6	,	,	PUNCT
ejpam-6884	672	7	s	s	VERB
ejpam-6884	672	8	harroudi	harroudi	PROPN
ejpam-6884	672	9	,	,	PUNCT
ejpam-6884	672	10	and	and	CCONJ
ejpam-6884	672	11	k	k	PROPN
ejpam-6884	672	12	allali	allali	PROPN
ejpam-6884	672	13	.	.	PUNCT
ejpam-6884	673	1	dynamical	dynamical	ADJ
ejpam-6884	673	2	analysis	analysis	NOUN
ejpam-6884	673	3	of	of	ADP
ejpam-6884	673	4	an	an	DET
ejpam-6884	673	5	hcv	hcv	NOUN
ejpam-6884	673	6	model	model	NOUN
ejpam-6884	673	7	with	with	ADP
ejpam-6884	673	8	cell	cell	NOUN
ejpam-6884	673	9	-	-	PUNCT
ejpam-6884	673	10	tocell	tocell	NOUN
ejpam-6884	673	11	transmission	transmission	NOUN
ejpam-6884	673	12	and	and	CCONJ
ejpam-6884	673	13	cure	cure	NOUN
ejpam-6884	673	14	rate	rate	NOUN
ejpam-6884	673	15	in	in	ADP
ejpam-6884	673	16	the	the	DET
ejpam-6884	673	17	presence	presence	NOUN
ejpam-6884	673	18	of	of	ADP
ejpam-6884	673	19	adaptive	adaptive	ADJ
ejpam-6884	673	20	immunity	immunity	NOUN
ejpam-6884	673	21	.	.	PUNCT
ejpam-6884	674	1	mathematical	mathematical	PROPN
ejpam-6884	675	1	v.	v.	ADP
ejpam-6884	675	2	govindan	govindan	PROPN
ejpam-6884	675	3	et	et	PROPN
ejpam-6884	675	4	al	al	PROPN
ejpam-6884	675	5	.	.	PUNCT
ejpam-6884	675	6	/	/	SYM
ejpam-6884	675	7	eur	eur	PROPN
ejpam-6884	675	8	.	.	PUNCT
ejpam-6884	676	1	j.	j.	PROPN
ejpam-6884	676	2	pure	pure	PROPN
ejpam-6884	676	3	appl	appl	PROPN
ejpam-6884	676	4	.	.	PROPN
ejpam-6884	676	5	math	math	PROPN
ejpam-6884	676	6	,	,	PUNCT
ejpam-6884	676	7	18	18	NUM
ejpam-6884	676	8	(	(	PUNCT
ejpam-6884	676	9	4	4	NUM
ejpam-6884	676	10	)	)	PUNCT
ejpam-6884	676	11	(	(	PUNCT
ejpam-6884	676	12	2025	2025	NUM
ejpam-6884	676	13	)	)	PUNCT
ejpam-6884	676	14	,	,	PUNCT
ejpam-6884	676	15	6884	6884	NUM
ejpam-6884	676	16	27	27	NUM
ejpam-6884	676	17	of	of	ADP
ejpam-6884	676	18	29	29	NUM
ejpam-6884	676	19	modeling	modeling	NOUN
ejpam-6884	676	20	and	and	CCONJ
ejpam-6884	676	21	computing	computing	NOUN
ejpam-6884	676	22	,	,	PUNCT
ejpam-6884	676	23	9(3):579–593	9(3):579–593	NUM
ejpam-6884	676	24	,	,	PUNCT
ejpam-6884	676	25	2022	2022	NUM
ejpam-6884	676	26	.	.	PUNCT
ejpam-6884	677	1	[	[	X
ejpam-6884	677	2	18	18	NUM
ejpam-6884	677	3	]	]	X
ejpam-6884	677	4	c	c	X
ejpam-6884	677	5	bounkaicha	bounkaicha	PROPN
ejpam-6884	677	6	,	,	PUNCT
ejpam-6884	677	7	k	k	PROPN
ejpam-6884	677	8	allali	allali	PROPN
ejpam-6884	677	9	,	,	PUNCT
ejpam-6884	677	10	y	y	PROPN
ejpam-6884	677	11	tabit	tabit	NOUN
ejpam-6884	677	12	,	,	PUNCT
ejpam-6884	677	13	and	and	CCONJ
ejpam-6884	677	14	j	j	PROPN
ejpam-6884	677	15	danane	danane	PROPN
ejpam-6884	677	16	.	.	PUNCT
ejpam-6884	678	1	global	global	ADJ
ejpam-6884	678	2	dynamic	dynamic	NOUN
ejpam-6884	678	3	of	of	ADP
ejpam-6884	678	4	spatio	spatio	PROPN
ejpam-6884	678	5	-	-	PUNCT
ejpam-6884	678	6	temporal	temporal	ADJ
ejpam-6884	678	7	fractional	fractional	ADJ
ejpam-6884	678	8	order	order	NOUN
ejpam-6884	678	9	seir	seir	NOUN
ejpam-6884	678	10	model	model	NOUN
ejpam-6884	678	11	.	.	PUNCT
ejpam-6884	679	1	mathematical	mathematical	ADJ
ejpam-6884	679	2	modeling	modeling	NOUN
ejpam-6884	679	3	and	and	CCONJ
ejpam-6884	679	4	computing	computing	NOUN
ejpam-6884	679	5	,	,	PUNCT
ejpam-6884	679	6	10(2):299–310	10(2):299–310	PROPN
ejpam-6884	679	7	,	,	PUNCT
ejpam-6884	679	8	2023	2023	NUM
ejpam-6884	679	9	.	.	PUNCT
ejpam-6884	680	1	[	[	X
ejpam-6884	680	2	19	19	NUM
ejpam-6884	680	3	]	]	X
ejpam-6884	680	4	m	m	NOUN
ejpam-6884	680	5	elkaf	elkaf	NOUN
ejpam-6884	680	6	and	and	CCONJ
ejpam-6884	680	7	k	k	PROPN
ejpam-6884	680	8	allali	allali	PROPN
ejpam-6884	680	9	.	.	PUNCT
ejpam-6884	681	1	fractional	fractional	ADJ
ejpam-6884	681	2	derivative	derivative	ADJ
ejpam-6884	681	3	model	model	NOUN
ejpam-6884	681	4	for	for	ADP
ejpam-6884	681	5	tumor	tumor	NOUN
ejpam-6884	681	6	cells	cell	NOUN
ejpam-6884	681	7	and	and	CCONJ
ejpam-6884	681	8	immune	immune	ADJ
ejpam-6884	681	9	system	system	NOUN
ejpam-6884	681	10	competition	competition	NOUN
ejpam-6884	681	11	.	.	PUNCT
ejpam-6884	682	1	mathematical	mathematical	ADJ
ejpam-6884	682	2	modeling	modeling	NOUN
ejpam-6884	682	3	and	and	CCONJ
ejpam-6884	682	4	computing	computing	NOUN
ejpam-6884	682	5	,	,	PUNCT
ejpam-6884	682	6	10(2):288–298	10(2):288–298	NUM
ejpam-6884	682	7	,	,	PUNCT
ejpam-6884	682	8	2023	2023	NUM
ejpam-6884	682	9	.	.	PUNCT
ejpam-6884	683	1	[	[	X
ejpam-6884	683	2	20	20	NUM
ejpam-6884	683	3	]	]	PUNCT
ejpam-6884	683	4	olumuyiwa	olumuyiwa	PROPN
ejpam-6884	683	5	james	james	PROPN
ejpam-6884	683	6	peter	peter	PROPN
ejpam-6884	683	7	,	,	PUNCT
ejpam-6884	683	8	sumit	sumit	PROPN
ejpam-6884	683	9	kumar	kumar	PROPN
ejpam-6884	683	10	,	,	PUNCT
ejpam-6884	683	11	nitu	nitu	ADJ
ejpam-6884	683	12	kumari	kumari	PROPN
ejpam-6884	683	13	,	,	PUNCT
ejpam-6884	683	14	festus	festus	PROPN
ejpam-6884	683	15	abiodun	abiodun	PROPN
ejpam-6884	683	16	oguntolu	oguntolu	PROPN
ejpam-6884	683	17	,	,	PUNCT
ejpam-6884	683	18	kayode	kayode	PROPN
ejpam-6884	683	19	oshinubi	oshinubi	ADJ
ejpam-6884	683	20	,	,	PUNCT
ejpam-6884	683	21	and	and	CCONJ
ejpam-6884	683	22	rabiu	rabiu	NOUN
ejpam-6884	683	23	musa	musa	NOUN
ejpam-6884	683	24	.	.	PUNCT
ejpam-6884	684	1	transmission	transmission	NOUN
ejpam-6884	684	2	dynamics	dynamic	NOUN
ejpam-6884	684	3	of	of	ADP
ejpam-6884	684	4	monkeypox	monkeypox	PROPN
ejpam-6884	684	5	virus	virus	NOUN
ejpam-6884	684	6	:	:	PUNCT
ejpam-6884	684	7	a	a	DET
ejpam-6884	684	8	mathematical	mathematical	ADJ
ejpam-6884	684	9	modelling	modelling	NOUN
ejpam-6884	684	10	approach	approach	NOUN
ejpam-6884	684	11	.	.	PUNCT
ejpam-6884	685	1	modeling	model	VERB
ejpam-6884	685	2	earth	earth	NOUN
ejpam-6884	685	3	systems	system	NOUN
ejpam-6884	685	4	and	and	CCONJ
ejpam-6884	685	5	environment	environment	NOUN
ejpam-6884	685	6	,	,	PUNCT
ejpam-6884	685	7	8(3):3423–3434	8(3):3423–3434	NUM
ejpam-6884	685	8	,	,	PUNCT
ejpam-6884	685	9	2022	2022	NUM
ejpam-6884	685	10	.	.	PUNCT
ejpam-6884	686	1	[	[	X
ejpam-6884	686	2	21	21	NUM
ejpam-6884	686	3	]	]	X
ejpam-6884	686	4	pei	pei	PROPN
ejpam-6884	686	5	yuan	yuan	PROPN
ejpam-6884	686	6	,	,	PUNCT
ejpam-6884	686	7	yi	yi	PROPN
ejpam-6884	686	8	tan	tan	PROPN
ejpam-6884	686	9	,	,	PUNCT
ejpam-6884	686	10	liu	liu	PROPN
ejpam-6884	686	11	yang	yang	PROPN
ejpam-6884	686	12	,	,	PUNCT
ejpam-6884	686	13	elena	elena	PROPN
ejpam-6884	686	14	aruffo	aruffo	PROPN
ejpam-6884	686	15	,	,	PUNCT
ejpam-6884	686	16	nicholas	nicholas	PROPN
ejpam-6884	686	17	h	h	PROPN
ejpam-6884	686	18	ogden	ogden	PROPN
ejpam-6884	686	19	,	,	PUNCT
ejpam-6884	686	20	jacques	jacques	PROPN
ejpam-6884	686	21	bélair	bélair	PROPN
ejpam-6884	686	22	,	,	PUNCT
ejpam-6884	686	23	jane	jane	PROPN
ejpam-6884	686	24	heffernan	heffernan	PROPN
ejpam-6884	686	25	,	,	PUNCT
ejpam-6884	686	26	julien	julien	PROPN
ejpam-6884	686	27	arino	arino	PROPN
ejpam-6884	686	28	,	,	PUNCT
ejpam-6884	686	29	james	james	PROPN
ejpam-6884	686	30	watmough	watmough	PROPN
ejpam-6884	686	31	,	,	PUNCT
ejpam-6884	686	32	hélène	hélène	PROPN
ejpam-6884	686	33	carabin	carabin	PROPN
ejpam-6884	686	34	,	,	PUNCT
ejpam-6884	686	35	et	et	PROPN
ejpam-6884	686	36	al	al	PROPN
ejpam-6884	686	37	.	.	PUNCT
ejpam-6884	686	38	assessing	assess	VERB
ejpam-6884	686	39	transmission	transmission	NOUN
ejpam-6884	686	40	risks	risk	NOUN
ejpam-6884	686	41	and	and	CCONJ
ejpam-6884	686	42	control	control	NOUN
ejpam-6884	686	43	strategy	strategy	NOUN
ejpam-6884	686	44	for	for	ADP
ejpam-6884	686	45	monkeypox	monkeypox	NOUN
ejpam-6884	686	46	as	as	ADP
ejpam-6884	686	47	an	an	DET
ejpam-6884	686	48	emerging	emerge	VERB
ejpam-6884	686	49	zoonosis	zoonosis	NOUN
ejpam-6884	686	50	in	in	ADP
ejpam-6884	686	51	a	a	DET
ejpam-6884	686	52	metropolitan	metropolitan	ADJ
ejpam-6884	686	53	area	area	NOUN
ejpam-6884	686	54	.	.	PUNCT
ejpam-6884	687	1	journal	journal	PROPN
ejpam-6884	687	2	of	of	ADP
ejpam-6884	687	3	medical	medical	ADJ
ejpam-6884	687	4	virology	virology	NOUN
ejpam-6884	687	5	,	,	PUNCT
ejpam-6884	687	6	95(1):e28137	95(1):e28137	PROPN
ejpam-6884	687	7	,	,	PUNCT
ejpam-6884	687	8	2023	2023	NUM
ejpam-6884	687	9	.	.	PUNCT
ejpam-6884	688	1	[	[	X
ejpam-6884	688	2	22	22	NUM
ejpam-6884	688	3	]	]	X
ejpam-6884	688	4	sulaiman	sulaiman	PROPN
ejpam-6884	688	5	usman	usman	PROPN
ejpam-6884	688	6	,	,	PUNCT
ejpam-6884	688	7	ibrahim	ibrahim	PROPN
ejpam-6884	688	8	isa	isa	PROPN
ejpam-6884	688	9	adamu	adamu	PROPN
ejpam-6884	688	10	,	,	PUNCT
ejpam-6884	688	11	et	et	PROPN
ejpam-6884	688	12	al	al	PROPN
ejpam-6884	688	13	.	.	PUNCT
ejpam-6884	689	1	modeling	model	VERB
ejpam-6884	689	2	the	the	DET
ejpam-6884	689	3	transmission	transmission	NOUN
ejpam-6884	689	4	dynamics	dynamic	NOUN
ejpam-6884	689	5	of	of	ADP
ejpam-6884	689	6	the	the	DET
ejpam-6884	689	7	monkeypox	monkeypox	PROPN
ejpam-6884	689	8	virus	virus	NOUN
ejpam-6884	689	9	infection	infection	NOUN
ejpam-6884	689	10	with	with	ADP
ejpam-6884	689	11	treatment	treatment	NOUN
ejpam-6884	689	12	and	and	CCONJ
ejpam-6884	689	13	vaccination	vaccination	NOUN
ejpam-6884	689	14	interventions	intervention	NOUN
ejpam-6884	689	15	.	.	PUNCT
ejpam-6884	690	1	journal	journal	NOUN
ejpam-6884	690	2	of	of	ADP
ejpam-6884	690	3	applied	apply	VERB
ejpam-6884	690	4	mathematics	mathematic	NOUN
ejpam-6884	690	5	and	and	CCONJ
ejpam-6884	690	6	physics	physics	NOUN
ejpam-6884	690	7	,	,	PUNCT
ejpam-6884	690	8	5(12):2335	5(12):2335	NUM
ejpam-6884	690	9	,	,	PUNCT
ejpam-6884	690	10	2017	2017	NUM
ejpam-6884	690	11	.	.	PUNCT
ejpam-6884	691	1	[	[	X
ejpam-6884	691	2	23	23	NUM
ejpam-6884	691	3	]	]	X
ejpam-6884	691	4	olumuyiwa	olumuyiwa	PROPN
ejpam-6884	691	5	james	james	PROPN
ejpam-6884	691	6	peter	peter	PROPN
ejpam-6884	691	7	,	,	PUNCT
ejpam-6884	691	8	sumit	sumit	PROPN
ejpam-6884	691	9	kumar	kumar	PROPN
ejpam-6884	691	10	,	,	PUNCT
ejpam-6884	691	11	nitu	nitu	ADJ
ejpam-6884	691	12	kumari	kumari	PROPN
ejpam-6884	691	13	,	,	PUNCT
ejpam-6884	691	14	festus	festus	PROPN
ejpam-6884	691	15	abiodun	abiodun	PROPN
ejpam-6884	691	16	oguntolu	oguntolu	PROPN
ejpam-6884	691	17	,	,	PUNCT
ejpam-6884	691	18	kayode	kayode	PROPN
ejpam-6884	691	19	oshinubi	oshinubi	ADJ
ejpam-6884	691	20	,	,	PUNCT
ejpam-6884	691	21	and	and	CCONJ
ejpam-6884	691	22	rabiu	rabiu	NOUN
ejpam-6884	691	23	musa	musa	NOUN
ejpam-6884	691	24	.	.	PUNCT
ejpam-6884	692	1	transmission	transmission	NOUN
ejpam-6884	692	2	dynamics	dynamic	NOUN
ejpam-6884	692	3	of	of	ADP
ejpam-6884	692	4	monkeypox	monkeypox	PROPN
ejpam-6884	692	5	virus	virus	NOUN
ejpam-6884	692	6	:	:	PUNCT
ejpam-6884	692	7	a	a	DET
ejpam-6884	692	8	mathematical	mathematical	ADJ
ejpam-6884	692	9	modelling	modelling	NOUN
ejpam-6884	692	10	approach	approach	NOUN
ejpam-6884	692	11	.	.	PUNCT
ejpam-6884	693	1	modeling	model	VERB
ejpam-6884	693	2	earth	earth	NOUN
ejpam-6884	693	3	systems	system	NOUN
ejpam-6884	693	4	and	and	CCONJ
ejpam-6884	693	5	environment	environment	NOUN
ejpam-6884	693	6	,	,	PUNCT
ejpam-6884	693	7	8(3):3423–3434	8(3):3423–3434	NUM
ejpam-6884	693	8	,	,	PUNCT
ejpam-6884	693	9	2022	2022	NUM
ejpam-6884	693	10	.	.	PUNCT
ejpam-6884	694	1	[	[	X
ejpam-6884	694	2	24	24	NUM
ejpam-6884	694	3	]	]	SYM
ejpam-6884	694	4	m	m	VERB
ejpam-6884	694	5	ngungu	ngungu	NOUN
ejpam-6884	694	6	,	,	PUNCT
ejpam-6884	694	7	e	e	PROPN
ejpam-6884	694	8	addai	addai	PROPN
ejpam-6884	694	9	,	,	PUNCT
ejpam-6884	694	10	a	a	DET
ejpam-6884	694	11	adeniji	adeniji	NOUN
ejpam-6884	694	12	,	,	PUNCT
ejpam-6884	694	13	um	um	INTJ
ejpam-6884	694	14	adam	adam	PROPN
ejpam-6884	694	15	,	,	PUNCT
ejpam-6884	694	16	and	and	CCONJ
ejpam-6884	694	17	k	k	PROPN
ejpam-6884	694	18	oshinubi	oshinubi	ADJ
ejpam-6884	694	19	.	.	PUNCT
ejpam-6884	694	20	mathematical	mathematical	ADJ
ejpam-6884	694	21	epidemiological	epidemiological	ADJ
ejpam-6884	694	22	modeling	modeling	NOUN
ejpam-6884	694	23	and	and	CCONJ
ejpam-6884	694	24	analysis	analysis	NOUN
ejpam-6884	694	25	of	of	ADP
ejpam-6884	694	26	monkeypox	monkeypox	NOUN
ejpam-6884	694	27	dynamism	dynamism	NOUN
ejpam-6884	694	28	with	with	ADP
ejpam-6884	694	29	non	non	ADJ
ejpam-6884	694	30	-	-	ADJ
ejpam-6884	694	31	pharmaceutical	pharmaceutical	ADJ
ejpam-6884	694	32	intervention	intervention	NOUN
ejpam-6884	694	33	using	use	VERB
ejpam-6884	694	34	real	real	ADJ
ejpam-6884	694	35	data	datum	NOUN
ejpam-6884	694	36	from	from	ADP
ejpam-6884	694	37	united	united	ADJ
ejpam-6884	694	38	kingdom	kingdom	PROPN
ejpam-6884	694	39	.	.	PUNCT
ejpam-6884	695	1	frontiers	frontier	NOUN
ejpam-6884	695	2	in	in	ADP
ejpam-6884	695	3	public	public	ADJ
ejpam-6884	695	4	health	health	NOUN
ejpam-6884	695	5	,	,	PUNCT
ejpam-6884	695	6	11:1101436	11:1101436	NUM
ejpam-6884	695	7	,	,	PUNCT
ejpam-6884	695	8	2023	2023	NUM
ejpam-6884	695	9	.	.	PUNCT
ejpam-6884	696	1	[	[	X
ejpam-6884	696	2	25	25	NUM
ejpam-6884	696	3	]	]	PUNCT
ejpam-6884	696	4	cp	cp	NUM
ejpam-6884	696	5	bhunu	bhunu	NOUN
ejpam-6884	696	6	and	and	CCONJ
ejpam-6884	696	7	s	s	VERB
ejpam-6884	696	8	mushayabasa	mushayabasa	NOUN
ejpam-6884	696	9	.	.	PUNCT
ejpam-6884	697	1	modelling	model	VERB
ejpam-6884	697	2	the	the	DET
ejpam-6884	697	3	transmission	transmission	NOUN
ejpam-6884	697	4	dynamics	dynamic	NOUN
ejpam-6884	697	5	of	of	ADP
ejpam-6884	697	6	pox	pox	NOUN
ejpam-6884	697	7	-	-	PUNCT
ejpam-6884	697	8	like	like	ADJ
ejpam-6884	697	9	infections	infection	NOUN
ejpam-6884	697	10	.	.	PUNCT
ejpam-6884	698	1	2011	2011	NUM
ejpam-6884	698	2	.	.	PUNCT
ejpam-6884	699	1	[	[	X
ejpam-6884	699	2	26	26	NUM
ejpam-6884	699	3	]	]	SYM
ejpam-6884	699	4	s	s	PROPN
ejpam-6884	699	5	usman	usman	PROPN
ejpam-6884	699	6	and	and	CCONJ
ejpam-6884	699	7	ii	ii	PROPN
ejpam-6884	699	8	adamu	adamu	PROPN
ejpam-6884	699	9	.	.	PUNCT
ejpam-6884	700	1	modeling	model	VERB
ejpam-6884	700	2	the	the	DET
ejpam-6884	700	3	transmission	transmission	NOUN
ejpam-6884	700	4	dynamics	dynamic	NOUN
ejpam-6884	700	5	of	of	ADP
ejpam-6884	700	6	the	the	DET
ejpam-6884	700	7	monkeypox	monkeypox	PROPN
ejpam-6884	700	8	virus	virus	NOUN
ejpam-6884	700	9	infection	infection	NOUN
ejpam-6884	700	10	with	with	ADP
ejpam-6884	700	11	treatment	treatment	NOUN
ejpam-6884	700	12	and	and	CCONJ
ejpam-6884	700	13	vaccination	vaccination	NOUN
ejpam-6884	700	14	interventions	intervention	NOUN
ejpam-6884	700	15	.	.	PUNCT
ejpam-6884	701	1	journal	journal	NOUN
ejpam-6884	701	2	of	of	ADP
ejpam-6884	701	3	applied	apply	VERB
ejpam-6884	701	4	mathematics	mathematic	NOUN
ejpam-6884	701	5	and	and	CCONJ
ejpam-6884	701	6	physics	physics	NOUN
ejpam-6884	701	7	,	,	PUNCT
ejpam-6884	701	8	5(12):2335	5(12):2335	NUM
ejpam-6884	701	9	,	,	PUNCT
ejpam-6884	701	10	2017	2017	NUM
ejpam-6884	701	11	.	.	PUNCT
ejpam-6884	702	1	[	[	X
ejpam-6884	702	2	27	27	NUM
ejpam-6884	702	3	]	]	X
ejpam-6884	702	4	rachel	rachel	PROPN
ejpam-6884	702	5	e	e	PROPN
ejpam-6884	702	6	tewinkel	tewinkel	PROPN
ejpam-6884	702	7	.	.	PUNCT
ejpam-6884	703	1	stability	stability	NOUN
ejpam-6884	703	2	analysis	analysis	NOUN
ejpam-6884	703	3	for	for	ADP
ejpam-6884	703	4	the	the	DET
ejpam-6884	703	5	equilibria	equilibrium	NOUN
ejpam-6884	703	6	of	of	ADP
ejpam-6884	703	7	a	a	DET
ejpam-6884	703	8	monkeypox	monkeypox	NOUN
ejpam-6884	703	9	model	model	NOUN
ejpam-6884	703	10	.	.	PUNCT
ejpam-6884	704	1	phd	phd	NOUN
ejpam-6884	704	2	thesis	thesis	PROPN
ejpam-6884	704	3	,	,	PUNCT
ejpam-6884	704	4	the	the	DET
ejpam-6884	704	5	university	university	PROPN
ejpam-6884	704	6	of	of	ADP
ejpam-6884	704	7	wisconsin	wisconsin	PROPN
ejpam-6884	704	8	-	-	PUNCT
ejpam-6884	704	9	milwaukee	milwaukee	PROPN
ejpam-6884	704	10	,	,	PUNCT
ejpam-6884	704	11	2019	2019	NUM
ejpam-6884	704	12	.	.	PUNCT
ejpam-6884	705	1	[	[	X
ejpam-6884	705	2	28	28	NUM
ejpam-6884	705	3	]	]	X
ejpam-6884	705	4	sa	sa	PROPN
ejpam-6884	705	5	somma	somma	PROPN
ejpam-6884	705	6	,	,	PUNCT
ejpam-6884	705	7	ni	ni	PROPN
ejpam-6884	705	8	akinwande	akinwande	PROPN
ejpam-6884	705	9	,	,	PUNCT
ejpam-6884	705	10	and	and	CCONJ
ejpam-6884	705	11	ud	ud	ADP
ejpam-6884	705	12	chado	chado	NOUN
ejpam-6884	705	13	.	.	PUNCT
ejpam-6884	706	1	a	a	DET
ejpam-6884	706	2	mathematical	mathematical	ADJ
ejpam-6884	706	3	model	model	NOUN
ejpam-6884	706	4	of	of	ADP
ejpam-6884	706	5	monkey	monkey	PROPN
ejpam-6884	706	6	pox	pox	NOUN
ejpam-6884	706	7	virus	virus	NOUN
ejpam-6884	706	8	transmission	transmission	NOUN
ejpam-6884	706	9	dynamics	dynamic	NOUN
ejpam-6884	706	10	.	.	PUNCT
ejpam-6884	707	1	ife	ife	PROPN
ejpam-6884	707	2	journal	journal	PROPN
ejpam-6884	707	3	of	of	ADP
ejpam-6884	707	4	science	science	PROPN
ejpam-6884	707	5	,	,	PUNCT
ejpam-6884	707	6	21(1):195–204	21(1):195–204	PROPN
ejpam-6884	707	7	,	,	PUNCT
ejpam-6884	707	8	2019	2019	NUM
ejpam-6884	707	9	.	.	PUNCT
ejpam-6884	708	1	[	[	X
ejpam-6884	708	2	29	29	NUM
ejpam-6884	708	3	]	]	X
ejpam-6884	708	4	sai	sai	PROPN
ejpam-6884	708	5	vikram	vikram	PROPN
ejpam-6884	708	6	bankuru	bankuru	PROPN
ejpam-6884	708	7	,	,	PUNCT
ejpam-6884	708	8	samuel	samuel	PROPN
ejpam-6884	708	9	kossol	kossol	PROPN
ejpam-6884	708	10	,	,	PUNCT
ejpam-6884	708	11	wanying	wanye	VERB
ejpam-6884	708	12	hou	hou	PROPN
ejpam-6884	708	13	,	,	PUNCT
ejpam-6884	708	14	pooya	pooya	ADJ
ejpam-6884	708	15	mahmoudi	mahmoudi	NOUN
ejpam-6884	708	16	,	,	PUNCT
ejpam-6884	708	17	et	et	PROPN
ejpam-6884	708	18	al	al	PROPN
ejpam-6884	708	19	.	.	PUNCT
ejpam-6884	709	1	a	a	DET
ejpam-6884	709	2	game	game	NOUN
ejpam-6884	709	3	-	-	PUNCT
ejpam-6884	709	4	theoretic	theoretic	NOUN
ejpam-6884	709	5	model	model	NOUN
ejpam-6884	709	6	of	of	ADP
ejpam-6884	709	7	monkeypox	monkeypox	NOUN
ejpam-6884	709	8	to	to	PART
ejpam-6884	709	9	assess	assess	VERB
ejpam-6884	709	10	vaccination	vaccination	NOUN
ejpam-6884	709	11	strategies	strategy	NOUN
ejpam-6884	709	12	.	.	PUNCT
ejpam-6884	710	1	peerj	peerj	PROPN
ejpam-6884	710	2	,	,	PUNCT
ejpam-6884	710	3	8	8	NUM
ejpam-6884	710	4	:	:	SYM
ejpam-6884	710	5	e9272	e9272	ADJ
ejpam-6884	710	6	,	,	PUNCT
ejpam-6884	710	7	2020	2020	NUM
ejpam-6884	710	8	.	.	PUNCT
ejpam-6884	711	1	[	[	X
ejpam-6884	711	2	30	30	NUM
ejpam-6884	711	3	]	]	PUNCT
ejpam-6884	711	4	rebecca	rebecca	NOUN
ejpam-6884	711	5	grant	grant	PROPN
ejpam-6884	711	6	,	,	PUNCT
ejpam-6884	711	7	le	le	X
ejpam-6884	711	8	bao	bao	PROPN
ejpam-6884	711	9	long	long	ADJ
ejpam-6884	711	10	nguyen	nguyen	NOUN
ejpam-6884	711	11	,	,	PUNCT
ejpam-6884	711	12	and	and	CCONJ
ejpam-6884	711	13	romulus	romulus	NOUN
ejpam-6884	711	14	breban	breban	NOUN
ejpam-6884	711	15	.	.	PUNCT
ejpam-6884	712	1	modelling	model	VERB
ejpam-6884	712	2	humanto	humanto	ADP
ejpam-6884	712	3	-	-	PUNCT
ejpam-6884	712	4	human	human	ADJ
ejpam-6884	712	5	transmission	transmission	NOUN
ejpam-6884	712	6	of	of	ADP
ejpam-6884	712	7	monkeypox	monkeypox	NOUN
ejpam-6884	712	8	.	.	PUNCT
ejpam-6884	713	1	bulletin	bulletin	NOUN
ejpam-6884	713	2	of	of	ADP
ejpam-6884	713	3	the	the	DET
ejpam-6884	713	4	world	world	PROPN
ejpam-6884	713	5	health	health	PROPN
ejpam-6884	713	6	organization	organization	NOUN
ejpam-6884	713	7	,	,	PUNCT
ejpam-6884	713	8	98(9):638	98(9):638	NOUN
ejpam-6884	713	9	,	,	PUNCT
ejpam-6884	713	10	2020	2020	NUM
ejpam-6884	713	11	.	.	PUNCT
ejpam-6884	714	1	[	[	X
ejpam-6884	714	2	31	31	NUM
ejpam-6884	714	3	]	]	PUNCT
ejpam-6884	714	4	fathalla	fathalla	NOUN
ejpam-6884	714	5	a	a	DET
ejpam-6884	714	6	rihan	rihan	NOUN
ejpam-6884	714	7	,	,	PUNCT
ejpam-6884	714	8	dumitru	dumitru	PROPN
ejpam-6884	714	9	baleanu	baleanu	NOUN
ejpam-6884	714	10	,	,	PUNCT
ejpam-6884	714	11	s	s	PART
ejpam-6884	714	12	lakshmanan	lakshmanan	ADJ
ejpam-6884	714	13	,	,	PUNCT
ejpam-6884	714	14	and	and	CCONJ
ejpam-6884	714	15	r	r	NOUN
ejpam-6884	714	16	rakkiyappan	rakkiyappan	NOUN
ejpam-6884	714	17	.	.	PUNCT
ejpam-6884	715	1	on	on	ADP
ejpam-6884	715	2	fractional	fractional	PROPN
ejpam-6884	715	3	sirc	sirc	PROPN
ejpam-6884	715	4	model	model	NOUN
ejpam-6884	715	5	with	with	ADP
ejpam-6884	715	6	salmonella	salmonella	NOUN
ejpam-6884	715	7	bacterial	bacterial	ADJ
ejpam-6884	715	8	infection	infection	NOUN
ejpam-6884	715	9	.	.	PUNCT
ejpam-6884	716	1	abstract	abstract	ADJ
ejpam-6884	716	2	and	and	CCONJ
ejpam-6884	716	3	applied	apply	VERB
ejpam-6884	716	4	analysis	analysis	NOUN
ejpam-6884	716	5	,	,	PUNCT
ejpam-6884	716	6	2014	2014	NUM
ejpam-6884	716	7	,	,	PUNCT
ejpam-6884	716	8	2014	2014	NUM
ejpam-6884	716	9	.	.	PUNCT
ejpam-6884	717	1	v.	v.	ADP
ejpam-6884	717	2	govindan	govindan	PROPN
ejpam-6884	717	3	et	et	PROPN
ejpam-6884	717	4	al	al	PROPN
ejpam-6884	717	5	.	.	PUNCT
ejpam-6884	717	6	/	/	SYM
ejpam-6884	717	7	eur	eur	PROPN
ejpam-6884	717	8	.	.	PUNCT
ejpam-6884	718	1	j.	j.	PROPN
ejpam-6884	718	2	pure	pure	PROPN
ejpam-6884	718	3	appl	appl	PROPN
ejpam-6884	718	4	.	.	PROPN
ejpam-6884	718	5	math	math	PROPN
ejpam-6884	718	6	,	,	PUNCT
ejpam-6884	718	7	18	18	NUM
ejpam-6884	718	8	(	(	PUNCT
ejpam-6884	718	9	4	4	NUM
ejpam-6884	718	10	)	)	PUNCT
ejpam-6884	718	11	(	(	PUNCT
ejpam-6884	718	12	2025	2025	NUM
ejpam-6884	718	13	)	)	PUNCT
ejpam-6884	718	14	,	,	PUNCT
ejpam-6884	718	15	6884	6884	NUM
ejpam-6884	718	16	28	28	NUM
ejpam-6884	718	17	of	of	ADP
ejpam-6884	718	18	29	29	NUM
ejpam-6884	719	1	[	[	SYM
ejpam-6884	719	2	32	32	NUM
ejpam-6884	719	3	]	]	PUNCT
ejpam-6884	719	4	ismaila	ismaila	X
ejpam-6884	719	5	a	a	DET
ejpam-6884	719	6	baba	baba	PROPN
ejpam-6884	719	7	and	and	CCONJ
ejpam-6884	719	8	bappah	bappah	PROPN
ejpam-6884	719	9	garba	garba	PROPN
ejpam-6884	719	10	nasidi	nasidi	PROPN
ejpam-6884	719	11	.	.	PUNCT
ejpam-6884	720	1	fractional	fractional	ADJ
ejpam-6884	720	2	order	order	NOUN
ejpam-6884	720	3	epidemic	epidemic	NOUN
ejpam-6884	720	4	model	model	NOUN
ejpam-6884	720	5	for	for	ADP
ejpam-6884	720	6	the	the	DET
ejpam-6884	720	7	dynamics	dynamic	NOUN
ejpam-6884	720	8	of	of	ADP
ejpam-6884	720	9	novel	novel	NOUN
ejpam-6884	720	10	covid-19	covid-19	PROPN
ejpam-6884	720	11	.	.	PUNCT
ejpam-6884	720	12	alexandria	alexandria	PROPN
ejpam-6884	720	13	engineering	engineering	PROPN
ejpam-6884	720	14	journal	journal	PROPN
ejpam-6884	720	15	,	,	PUNCT
ejpam-6884	720	16	60(1):537–548	60(1):537–548	NOUN
ejpam-6884	720	17	,	,	PUNCT
ejpam-6884	720	18	2021	2021	NUM
ejpam-6884	720	19	.	.	PUNCT
ejpam-6884	721	1	[	[	X
ejpam-6884	721	2	33	33	NUM
ejpam-6884	721	3	]	]	PUNCT
ejpam-6884	721	4	fathalla	fathalla	NOUN
ejpam-6884	721	5	a	a	DET
ejpam-6884	721	6	rihan	rihan	NOUN
ejpam-6884	721	7	.	.	PUNCT
ejpam-6884	722	1	numerical	numerical	ADJ
ejpam-6884	722	2	modeling	modeling	NOUN
ejpam-6884	722	3	of	of	ADP
ejpam-6884	722	4	fractional	fractional	ADJ
ejpam-6884	722	5	-	-	PUNCT
ejpam-6884	722	6	order	order	NOUN
ejpam-6884	722	7	biological	biological	ADJ
ejpam-6884	722	8	systems	system	NOUN
ejpam-6884	722	9	.	.	PUNCT
ejpam-6884	723	1	abstract	abstract	ADJ
ejpam-6884	723	2	and	and	CCONJ
ejpam-6884	723	3	applied	apply	VERB
ejpam-6884	723	4	analysis	analysis	NOUN
ejpam-6884	723	5	,	,	PUNCT
ejpam-6884	723	6	2013	2013	NUM
ejpam-6884	723	7	,	,	PUNCT
ejpam-6884	723	8	2013	2013	NUM
ejpam-6884	723	9	.	.	PUNCT
ejpam-6884	724	1	[	[	X
ejpam-6884	724	2	34	34	NUM
ejpam-6884	724	3	]	]	X
ejpam-6884	724	4	asif	asif	PROPN
ejpam-6884	724	5	ali	ali	PROPN
ejpam-6884	724	6	,	,	PUNCT
ejpam-6884	724	7	saeed	saeed	PROPN
ejpam-6884	724	8	ullah	ullah	PROPN
ejpam-6884	724	9	,	,	PUNCT
ejpam-6884	724	10	and	and	CCONJ
ejpam-6884	724	11	muhammad	muhammad	PROPN
ejpam-6884	724	12	altaf	altaf	PROPN
ejpam-6884	724	13	khan	khan	PROPN
ejpam-6884	724	14	.	.	PUNCT
ejpam-6884	725	1	the	the	DET
ejpam-6884	725	2	impact	impact	NOUN
ejpam-6884	725	3	of	of	ADP
ejpam-6884	725	4	vaccination	vaccination	NOUN
ejpam-6884	725	5	on	on	ADP
ejpam-6884	725	6	the	the	DET
ejpam-6884	725	7	modeling	modeling	NOUN
ejpam-6884	725	8	of	of	ADP
ejpam-6884	725	9	covid-19	covid-19	PROPN
ejpam-6884	725	10	dynamics	dynamic	NOUN
ejpam-6884	725	11	:	:	PUNCT
ejpam-6884	725	12	a	a	DET
ejpam-6884	725	13	fractional	fractional	ADJ
ejpam-6884	725	14	order	order	NOUN
ejpam-6884	725	15	model	model	NOUN
ejpam-6884	725	16	.	.	PUNCT
ejpam-6884	726	1	nonlinear	nonlinear	ADJ
ejpam-6884	726	2	dynamics	dynamic	NOUN
ejpam-6884	726	3	,	,	PUNCT
ejpam-6884	726	4	110(4):3921–3940	110(4):3921–3940	NOUN
ejpam-6884	726	5	,	,	PUNCT
ejpam-6884	726	6	2022	2022	NUM
ejpam-6884	726	7	.	.	PUNCT
ejpam-6884	727	1	[	[	X
ejpam-6884	727	2	35	35	NUM
ejpam-6884	727	3	]	]	SYM
ejpam-6884	727	4	m	m	VERB
ejpam-6884	727	5	saeedian	saeedian	NOUN
ejpam-6884	727	6	,	,	PUNCT
ejpam-6884	727	7	m	m	PROPN
ejpam-6884	727	8	khalighi	khalighi	PROPN
ejpam-6884	727	9	,	,	PUNCT
ejpam-6884	727	10	n	n	PRON
ejpam-6884	727	11	azimi	azimi	NOUN
ejpam-6884	727	12	-	-	PUNCT
ejpam-6884	727	13	tafreshi	tafreshi	NOUN
ejpam-6884	727	14	,	,	PUNCT
ejpam-6884	727	15	gr	gr	X
ejpam-6884	727	16	jafari	jafari	X
ejpam-6884	727	17	,	,	PUNCT
ejpam-6884	727	18	and	and	CCONJ
ejpam-6884	727	19	m	m	PROPN
ejpam-6884	727	20	ausloos	ausloos	PROPN
ejpam-6884	727	21	.	.	PUNCT
ejpam-6884	728	1	memory	memory	NOUN
ejpam-6884	728	2	effects	effect	NOUN
ejpam-6884	728	3	on	on	ADP
ejpam-6884	728	4	epidemic	epidemic	ADJ
ejpam-6884	728	5	evolution	evolution	NOUN
ejpam-6884	728	6	:	:	PUNCT
ejpam-6884	728	7	the	the	DET
ejpam-6884	728	8	susceptible	susceptible	ADJ
ejpam-6884	728	9	-	-	PUNCT
ejpam-6884	728	10	infected	infect	VERB
ejpam-6884	728	11	-	-	PUNCT
ejpam-6884	728	12	recovered	recover	VERB
ejpam-6884	728	13	epidemic	epidemic	NOUN
ejpam-6884	728	14	model	model	NOUN
ejpam-6884	728	15	.	.	PUNCT
ejpam-6884	729	1	physical	physical	ADJ
ejpam-6884	729	2	review	review	PROPN
ejpam-6884	729	3	e	e	NOUN
ejpam-6884	729	4	,	,	PUNCT
ejpam-6884	729	5	95(2):022409	95(2):022409	NUM
ejpam-6884	729	6	,	,	PUNCT
ejpam-6884	729	7	2017	2017	NUM
ejpam-6884	729	8	.	.	PUNCT
ejpam-6884	730	1	[	[	X
ejpam-6884	730	2	36	36	NUM
ejpam-6884	730	3	]	]	X
ejpam-6884	730	4	i	i	PRON
ejpam-6884	730	5	ahmed	ahme	VERB
ejpam-6884	730	6	,	,	PUNCT
ejpam-6884	730	7	ia	ia	PROPN
ejpam-6884	730	8	baba	baba	PROPN
ejpam-6884	730	9	,	,	PUNCT
ejpam-6884	730	10	a	a	DET
ejpam-6884	730	11	yusuf	yusuf	PROPN
ejpam-6884	730	12	,	,	PUNCT
ejpam-6884	730	13	p	p	NOUN
ejpam-6884	730	14	kumam	kumam	NOUN
ejpam-6884	730	15	,	,	PUNCT
ejpam-6884	730	16	and	and	CCONJ
ejpam-6884	730	17	w	w	PROPN
ejpam-6884	730	18	kumam	kumam	NOUN
ejpam-6884	730	19	.	.	PUNCT
ejpam-6884	731	1	analysis	analysis	NOUN
ejpam-6884	731	2	of	of	ADP
ejpam-6884	731	3	caputo	caputo	PROPN
ejpam-6884	731	4	fractional	fractional	ADJ
ejpam-6884	731	5	-	-	PUNCT
ejpam-6884	731	6	order	order	NOUN
ejpam-6884	731	7	model	model	NOUN
ejpam-6884	731	8	for	for	ADP
ejpam-6884	731	9	covid-19	covid-19	PROPN
ejpam-6884	731	10	with	with	ADP
ejpam-6884	731	11	lockdown	lockdown	NOUN
ejpam-6884	731	12	.	.	PUNCT
ejpam-6884	732	1	advances	advance	NOUN
ejpam-6884	732	2	in	in	ADP
ejpam-6884	732	3	difference	difference	NOUN
ejpam-6884	732	4	equations	equation	NOUN
ejpam-6884	732	5	,	,	PUNCT
ejpam-6884	732	6	2020(1):1–19	2020(1):1–19	NOUN
ejpam-6884	732	7	,	,	PUNCT
ejpam-6884	732	8	2020	2020	NUM
ejpam-6884	732	9	.	.	PUNCT
ejpam-6884	733	1	[	[	X
ejpam-6884	733	2	37	37	NUM
ejpam-6884	733	3	]	]	AUX
ejpam-6884	733	4	muhammad	muhammad	VERB
ejpam-6884	733	5	a	a	DET
ejpam-6884	733	6	aba	aba	PROPN
ejpam-6884	733	7	oud	oud	NOUN
ejpam-6884	733	8	,	,	PUNCT
ejpam-6884	733	9	asif	asif	PROPN
ejpam-6884	733	10	ali	ali	PROPN
ejpam-6884	733	11	,	,	PUNCT
ejpam-6884	733	12	hashim	hashim	PROPN
ejpam-6884	733	13	alrabaiah	alrabaiah	PROPN
ejpam-6884	733	14	,	,	PUNCT
ejpam-6884	733	15	saeed	saeed	PROPN
ejpam-6884	733	16	ullah	ullah	PROPN
ejpam-6884	733	17	,	,	PUNCT
ejpam-6884	733	18	et	et	PROPN
ejpam-6884	733	19	al	al	PROPN
ejpam-6884	733	20	.	.	PUNCT
ejpam-6884	734	1	a	a	DET
ejpam-6884	734	2	fractional	fractional	ADJ
ejpam-6884	734	3	order	order	NOUN
ejpam-6884	734	4	mathematical	mathematical	ADJ
ejpam-6884	734	5	model	model	NOUN
ejpam-6884	734	6	for	for	ADP
ejpam-6884	734	7	covid-19	covid-19	PROPN
ejpam-6884	734	8	dynamics	dynamic	NOUN
ejpam-6884	734	9	with	with	ADP
ejpam-6884	734	10	quarantine	quarantine	NOUN
ejpam-6884	734	11	,	,	PUNCT
ejpam-6884	734	12	isolation	isolation	NOUN
ejpam-6884	734	13	,	,	PUNCT
ejpam-6884	734	14	and	and	CCONJ
ejpam-6884	734	15	environmental	environmental	ADJ
ejpam-6884	734	16	viral	viral	ADJ
ejpam-6884	734	17	load	load	NOUN
ejpam-6884	734	18	.	.	PUNCT
ejpam-6884	735	1	advances	advance	NOUN
ejpam-6884	735	2	in	in	ADP
ejpam-6884	735	3	difference	difference	NOUN
ejpam-6884	735	4	equations	equation	NOUN
ejpam-6884	735	5	,	,	PUNCT
ejpam-6884	735	6	2021(1):1–19	2021(1):1–19	NOUN
ejpam-6884	735	7	,	,	PUNCT
ejpam-6884	735	8	2021	2021	NUM
ejpam-6884	735	9	.	.	PUNCT
ejpam-6884	736	1	[	[	X
ejpam-6884	736	2	38	38	NUM
ejpam-6884	736	3	]	]	PUNCT
ejpam-6884	736	4	muhammad	muhammad	PROPN
ejpam-6884	736	5	altaf	altaf	PROPN
ejpam-6884	736	6	khan	khan	PROPN
ejpam-6884	736	7	,	,	PUNCT
ejpam-6884	736	8	saeed	saeed	PROPN
ejpam-6884	736	9	ullah	ullah	PROPN
ejpam-6884	736	10	,	,	PUNCT
ejpam-6884	736	11	and	and	CCONJ
ejpam-6884	736	12	sunil	sunil	PROPN
ejpam-6884	736	13	kumar	kumar	PROPN
ejpam-6884	736	14	.	.	PUNCT
ejpam-6884	737	1	a	a	DET
ejpam-6884	737	2	robust	robust	ADJ
ejpam-6884	737	3	study	study	NOUN
ejpam-6884	737	4	on	on	ADP
ejpam-6884	737	5	2019ncov	2019ncov	NUM
ejpam-6884	737	6	outbreaks	outbreak	NOUN
ejpam-6884	737	7	through	through	ADP
ejpam-6884	737	8	non	non	ADJ
ejpam-6884	737	9	-	-	ADJ
ejpam-6884	737	10	singular	singular	ADJ
ejpam-6884	737	11	derivative	derivative	NOUN
ejpam-6884	737	12	.	.	PUNCT
ejpam-6884	738	1	the	the	DET
ejpam-6884	738	2	european	european	PROPN
ejpam-6884	738	3	physical	physical	PROPN
ejpam-6884	738	4	journal	journal	PROPN
ejpam-6884	738	5	plus	plus	CCONJ
ejpam-6884	738	6	,	,	PUNCT
ejpam-6884	738	7	136(2):168	136(2):168	NUM
ejpam-6884	738	8	,	,	PUNCT
ejpam-6884	738	9	2021	2021	NUM
ejpam-6884	738	10	.	.	PUNCT
ejpam-6884	739	1	[	[	X
ejpam-6884	739	2	39	39	NUM
ejpam-6884	739	3	]	]	PUNCT
ejpam-6884	739	4	adnan	adnan	PROPN
ejpam-6884	739	5	khan	khan	PROPN
ejpam-6884	739	6	,	,	PUNCT
ejpam-6884	739	7	yassine	yassine	PROPN
ejpam-6884	739	8	sabbar	sabbar	NOUN
ejpam-6884	739	9	,	,	PUNCT
ejpam-6884	739	10	and	and	CCONJ
ejpam-6884	739	11	anwarud	anwarud	PROPN
ejpam-6884	739	12	din	din	PROPN
ejpam-6884	739	13	.	.	PROPN
ejpam-6884	739	14	stochastic	stochastic	ADJ
ejpam-6884	739	15	modeling	modeling	NOUN
ejpam-6884	739	16	of	of	ADP
ejpam-6884	739	17	the	the	DET
ejpam-6884	739	18	monkeypox	monkeypox	NOUN
ejpam-6884	739	19	2022	2022	NUM
ejpam-6884	739	20	epidemic	epidemic	NOUN
ejpam-6884	739	21	with	with	ADP
ejpam-6884	739	22	cross	cross	ADJ
ejpam-6884	739	23	-	-	ADJ
ejpam-6884	739	24	infection	infection	ADJ
ejpam-6884	739	25	hypothesis	hypothesis	NOUN
ejpam-6884	739	26	in	in	ADP
ejpam-6884	739	27	a	a	DET
ejpam-6884	739	28	highly	highly	ADV
ejpam-6884	739	29	disturbed	disturbed	ADJ
ejpam-6884	739	30	environment	environment	NOUN
ejpam-6884	739	31	.	.	PUNCT
ejpam-6884	740	1	mathematical	mathematical	ADJ
ejpam-6884	740	2	biosciences	bioscience	NOUN
ejpam-6884	740	3	and	and	CCONJ
ejpam-6884	740	4	engineering	engineering	NOUN
ejpam-6884	740	5	,	,	PUNCT
ejpam-6884	740	6	19(12):13560–13581	19(12):13560–13581	NUM
ejpam-6884	740	7	,	,	PUNCT
ejpam-6884	740	8	2022	2022	NUM
ejpam-6884	740	9	.	.	PUNCT
ejpam-6884	741	1	[	[	X
ejpam-6884	741	2	40	40	NUM
ejpam-6884	741	3	]	]	X
ejpam-6884	741	4	alaa	alaa	PROPN
ejpam-6884	741	5	m	m	PROPN
ejpam-6884	741	6	alzubaidi	alzubaidi	NOUN
ejpam-6884	741	7	,	,	PUNCT
ejpam-6884	741	8	hind	hind	VERB
ejpam-6884	741	9	a	a	DET
ejpam-6884	741	10	othman	othman	NOUN
ejpam-6884	741	11	,	,	PUNCT
ejpam-6884	741	12	saeed	saeed	PROPN
ejpam-6884	741	13	ullah	ullah	PROPN
ejpam-6884	741	14	,	,	PUNCT
ejpam-6884	741	15	nafees	nafees	PROPN
ejpam-6884	741	16	ahmad	ahmad	PROPN
ejpam-6884	741	17	,	,	PUNCT
ejpam-6884	741	18	and	and	CCONJ
ejpam-6884	741	19	muhammad	muhammad	PROPN
ejpam-6884	741	20	zubair	zubair	PROPN
ejpam-6884	741	21	alam	alam	PROPN
ejpam-6884	741	22	.	.	PUNCT
ejpam-6884	742	1	analysis	analysis	NOUN
ejpam-6884	742	2	of	of	ADP
ejpam-6884	742	3	monkeypox	monkeypox	NOUN
ejpam-6884	742	4	viral	viral	ADJ
ejpam-6884	742	5	infection	infection	NOUN
ejpam-6884	742	6	with	with	ADP
ejpam-6884	742	7	human	human	NOUN
ejpam-6884	742	8	to	to	PART
ejpam-6884	742	9	animal	animal	NOUN
ejpam-6884	742	10	transmission	transmission	NOUN
ejpam-6884	742	11	via	via	ADP
ejpam-6884	742	12	a	a	DET
ejpam-6884	742	13	fractional	fractional	ADJ
ejpam-6884	742	14	and	and	CCONJ
ejpam-6884	742	15	fractal	fractal	ADJ
ejpam-6884	742	16	-	-	PUNCT
ejpam-6884	742	17	fractional	fractional	ADJ
ejpam-6884	742	18	operators	operator	NOUN
ejpam-6884	742	19	with	with	ADP
ejpam-6884	742	20	power	power	NOUN
ejpam-6884	742	21	law	law	NOUN
ejpam-6884	742	22	kernel	kernel	NOUN
ejpam-6884	742	23	.	.	PUNCT
ejpam-6884	743	1	mathematical	mathematical	ADJ
ejpam-6884	743	2	biosciences	bioscience	NOUN
ejpam-6884	743	3	and	and	CCONJ
ejpam-6884	743	4	engineering	engineering	NOUN
ejpam-6884	743	5	,	,	PUNCT
ejpam-6884	743	6	20(4):6666–6690	20(4):6666–6690	NUM
ejpam-6884	743	7	,	,	PUNCT
ejpam-6884	743	8	2023	2023	NUM
ejpam-6884	743	9	.	.	PUNCT
ejpam-6884	744	1	[	[	X
ejpam-6884	744	2	41	41	NUM
ejpam-6884	744	3	]	]	X
ejpam-6884	744	4	joshua	joshua	PROPN
ejpam-6884	744	5	kiddy	kiddy	PROPN
ejpam-6884	744	6	k	k	PROPN
ejpam-6884	745	1	asamoah	asamoah	PROPN
ejpam-6884	745	2	,	,	PUNCT
ejpam-6884	745	3	eric	eric	PROPN
ejpam-6884	745	4	okyere	okyere	PROPN
ejpam-6884	745	5	,	,	PUNCT
ejpam-6884	745	6	ernest	ernest	PROPN
ejpam-6884	745	7	yankson	yankson	PROPN
ejpam-6884	745	8	,	,	PUNCT
ejpam-6884	745	9	alex	alex	PROPN
ejpam-6884	745	10	a	a	DET
ejpam-6884	745	11	opoku	opoku	NOUN
ejpam-6884	745	12	,	,	PUNCT
ejpam-6884	745	13	et	et	PROPN
ejpam-6884	745	14	al	al	PROPN
ejpam-6884	745	15	.	.	PROPN
ejpam-6884	745	16	nonfractional	nonfractional	ADJ
ejpam-6884	745	17	and	and	CCONJ
ejpam-6884	745	18	fractional	fractional	ADJ
ejpam-6884	745	19	mathematical	mathematical	ADJ
ejpam-6884	745	20	analysis	analysis	NOUN
ejpam-6884	745	21	and	and	CCONJ
ejpam-6884	745	22	simulations	simulation	NOUN
ejpam-6884	745	23	for	for	ADP
ejpam-6884	745	24	q	q	ADJ
ejpam-6884	745	25	fever	fever	NOUN
ejpam-6884	745	26	.	.	PUNCT
ejpam-6884	746	1	chaos	chaos	NOUN
ejpam-6884	746	2	,	,	PUNCT
ejpam-6884	746	3	solitons	soliton	NOUN
ejpam-6884	746	4	&	&	CCONJ
ejpam-6884	746	5	fractals	fractal	NOUN
ejpam-6884	746	6	,	,	PUNCT
ejpam-6884	746	7	156:111821	156:111821	NUM
ejpam-6884	746	8	,	,	PUNCT
ejpam-6884	746	9	2022	2022	NUM
ejpam-6884	746	10	.	.	PUNCT
ejpam-6884	747	1	[	[	X
ejpam-6884	747	2	42	42	NUM
ejpam-6884	747	3	]	]	PUNCT
ejpam-6884	747	4	sunil	sunil	PROPN
ejpam-6884	747	5	kumar	kumar	PROPN
ejpam-6884	747	6	,	,	PUNCT
ejpam-6884	747	7	subir	subir	PROPN
ejpam-6884	747	8	ghosh	ghosh	PROPN
ejpam-6884	747	9	,	,	PUNCT
ejpam-6884	747	10	ranjan	ranjan	PROPN
ejpam-6884	747	11	kumar	kumar	PROPN
ejpam-6884	747	12	,	,	PUNCT
ejpam-6884	747	13	and	and	CCONJ
ejpam-6884	747	14	mohamed	mohamed	PROPN
ejpam-6884	747	15	jleli	jleli	PROPN
ejpam-6884	747	16	.	.	PUNCT
ejpam-6884	748	1	a	a	DET
ejpam-6884	748	2	fractional	fractional	ADJ
ejpam-6884	748	3	model	model	NOUN
ejpam-6884	748	4	for	for	ADP
ejpam-6884	748	5	population	population	NOUN
ejpam-6884	748	6	dynamics	dynamic	NOUN
ejpam-6884	748	7	of	of	ADP
ejpam-6884	748	8	two	two	NUM
ejpam-6884	748	9	interacting	interact	VERB
ejpam-6884	748	10	species	specie	NOUN
ejpam-6884	748	11	by	by	ADP
ejpam-6884	748	12	using	use	VERB
ejpam-6884	748	13	spectral	spectral	ADJ
ejpam-6884	748	14	and	and	CCONJ
ejpam-6884	748	15	hermite	hermite	ADJ
ejpam-6884	748	16	wavelets	wavelet	NOUN
ejpam-6884	748	17	methods	method	NOUN
ejpam-6884	748	18	.	.	PUNCT
ejpam-6884	749	1	numerical	numerical	ADJ
ejpam-6884	749	2	methods	method	NOUN
ejpam-6884	749	3	for	for	ADP
ejpam-6884	749	4	partial	partial	ADJ
ejpam-6884	749	5	differential	differential	NOUN
ejpam-6884	749	6	equations	equation	NOUN
ejpam-6884	749	7	,	,	PUNCT
ejpam-6884	749	8	37(2):1652	37(2):1652	NUM
ejpam-6884	749	9	–	–	PUNCT
ejpam-6884	749	10	1672	1672	NUM
ejpam-6884	749	11	,	,	PUNCT
ejpam-6884	749	12	2021	2021	NUM
ejpam-6884	749	13	.	.	PUNCT
ejpam-6884	750	1	[	[	X
ejpam-6884	750	2	43	43	NUM
ejpam-6884	750	3	]	]	PUNCT
ejpam-6884	750	4	abdon	abdon	PROPN
ejpam-6884	750	5	atangana	atangana	PROPN
ejpam-6884	750	6	and	and	CCONJ
ejpam-6884	750	7	j	j	PROPN
ejpam-6884	750	8	f	f	PROPN
ejpam-6884	750	9	gómez	gómez	NOUN
ejpam-6884	750	10	-	-	PUNCT
ejpam-6884	750	11	aguilar	aguilar	PROPN
ejpam-6884	750	12	.	.	PUNCT
ejpam-6884	751	1	a	a	DET
ejpam-6884	751	2	new	new	ADJ
ejpam-6884	751	3	derivative	derivative	NOUN
ejpam-6884	751	4	with	with	ADP
ejpam-6884	751	5	normal	normal	ADJ
ejpam-6884	751	6	distribution	distribution	NOUN
ejpam-6884	751	7	kernel	kernel	NOUN
ejpam-6884	751	8	:	:	PUNCT
ejpam-6884	751	9	theory	theory	NOUN
ejpam-6884	751	10	,	,	PUNCT
ejpam-6884	751	11	methods	method	NOUN
ejpam-6884	751	12	and	and	CCONJ
ejpam-6884	751	13	applications	application	NOUN
ejpam-6884	751	14	.	.	PUNCT
ejpam-6884	752	1	physica	physica	PROPN
ejpam-6884	752	2	a	a	DET
ejpam-6884	752	3	:	:	PUNCT
ejpam-6884	752	4	statistical	statistical	ADJ
ejpam-6884	752	5	mechanics	mechanic	NOUN
ejpam-6884	752	6	and	and	CCONJ
ejpam-6884	752	7	its	its	PRON
ejpam-6884	752	8	applications	application	NOUN
ejpam-6884	752	9	,	,	PUNCT
ejpam-6884	752	10	476:1–14	476:1–14	NUM
ejpam-6884	752	11	,	,	PUNCT
ejpam-6884	752	12	2017	2017	NUM
ejpam-6884	752	13	.	.	PUNCT
ejpam-6884	753	1	[	[	X
ejpam-6884	753	2	44	44	NUM
ejpam-6884	753	3	]	]	PUNCT
ejpam-6884	753	4	oluwole	oluwole	PROPN
ejpam-6884	753	5	daniel	daniel	PROPN
ejpam-6884	753	6	peter	peter	PROPN
ejpam-6884	753	7	,	,	PUNCT
ejpam-6884	753	8	faith	faith	NOUN
ejpam-6884	753	9	a	a	DET
ejpam-6884	753	10	oguntolu	oguntolu	NOUN
ejpam-6884	753	11	,	,	PUNCT
ejpam-6884	753	12	mufutau	mufutau	PROPN
ejpam-6884	753	13	mojo	mojo	PROPN
ejpam-6884	753	14	,	,	PUNCT
ejpam-6884	753	15	a	a	DET
ejpam-6884	753	16	olayinka	olayinka	ADJ
ejpam-6884	753	17	oyeniyi	oyeniyi	NOUN
ejpam-6884	753	18	,	,	PUNCT
ejpam-6884	753	19	rashid	rashid	PROPN
ejpam-6884	753	20	jan	jan	PROPN
ejpam-6884	753	21	,	,	PUNCT
ejpam-6884	753	22	and	and	CCONJ
ejpam-6884	753	23	ilyas	ilyas	PROPN
ejpam-6884	753	24	khan	khan	PROPN
ejpam-6884	753	25	.	.	PUNCT
ejpam-6884	754	1	fractional	fractional	ADJ
ejpam-6884	754	2	order	order	NOUN
ejpam-6884	754	3	mathematical	mathematical	ADJ
ejpam-6884	754	4	model	model	NOUN
ejpam-6884	754	5	of	of	ADP
ejpam-6884	754	6	monkeypox	monkeypox	NOUN
ejpam-6884	754	7	transmission	transmission	NOUN
ejpam-6884	754	8	dynamics	dynamic	NOUN
ejpam-6884	754	9	.	.	PUNCT
ejpam-6884	755	1	physica	physica	PROPN
ejpam-6884	755	2	scripta	scripta	PROPN
ejpam-6884	755	3	,	,	PUNCT
ejpam-6884	755	4	97(8):084005	97(8):084005	NUM
ejpam-6884	755	5	,	,	PUNCT
ejpam-6884	755	6	2022	2022	NUM
ejpam-6884	755	7	.	.	PUNCT
ejpam-6884	756	1	[	[	X
ejpam-6884	756	2	45	45	NUM
ejpam-6884	756	3	]	]	PUNCT
ejpam-6884	756	4	oj	oj	ADP
ejpam-6884	756	5	peter	peter	PROPN
ejpam-6884	756	6	,	,	PUNCT
ejpam-6884	756	7	s	s	PROPN
ejpam-6884	756	8	kumar	kumar	PROPN
ejpam-6884	756	9	,	,	PUNCT
ejpam-6884	756	10	n	n	PRON
ejpam-6884	756	11	kumari	kumari	X
ejpam-6884	756	12	,	,	PUNCT
ejpam-6884	756	13	fa	fa	PROPN
ejpam-6884	756	14	oguntolu	oguntolu	PROPN
ejpam-6884	756	15	,	,	PUNCT
ejpam-6884	756	16	k	k	PROPN
ejpam-6884	756	17	oshinubi	oshinubi	ADJ
ejpam-6884	756	18	,	,	PUNCT
ejpam-6884	756	19	and	and	CCONJ
ejpam-6884	756	20	r	r	NOUN
ejpam-6884	756	21	musa	musa	NOUN
ejpam-6884	756	22	.	.	PUNCT
ejpam-6884	757	1	transmission	transmission	NOUN
ejpam-6884	757	2	dynamics	dynamic	NOUN
ejpam-6884	757	3	of	of	ADP
ejpam-6884	757	4	monkeypox	monkeypox	PROPN
ejpam-6884	757	5	virus	virus	NOUN
ejpam-6884	757	6	:	:	PUNCT
ejpam-6884	757	7	a	a	DET
ejpam-6884	757	8	mathematical	mathematical	ADJ
ejpam-6884	757	9	modeling	modeling	NOUN
ejpam-6884	757	10	approach	approach	NOUN
ejpam-6884	757	11	.	.	PUNCT
ejpam-6884	758	1	modeling	model	VERB
ejpam-6884	758	2	earth	earth	NOUN
ejpam-6884	758	3	systems	system	NOUN
ejpam-6884	758	4	and	and	CCONJ
ejpam-6884	758	5	environment	environment	NOUN
ejpam-6884	758	6	,	,	PUNCT
ejpam-6884	758	7	8(3):3423–3434	8(3):3423–3434	NUM
ejpam-6884	758	8	,	,	PUNCT
ejpam-6884	758	9	2022	2022	NUM
ejpam-6884	758	10	.	.	PUNCT
ejpam-6884	759	1	[	[	X
ejpam-6884	759	2	46	46	NUM
ejpam-6884	759	3	]	]	X
ejpam-6884	759	4	subrata	subrata	PROPN
ejpam-6884	759	5	adak	adak	PROPN
ejpam-6884	759	6	and	and	CCONJ
ejpam-6884	759	7	soovoojeet	soovoojeet	PROPN
ejpam-6884	759	8	jana	jana	PROPN
ejpam-6884	759	9	.	.	PUNCT
ejpam-6884	760	1	dynamical	dynamical	ADJ
ejpam-6884	760	2	behavior	behavior	NOUN
ejpam-6884	760	3	of	of	ADP
ejpam-6884	760	4	an	an	DET
ejpam-6884	760	5	epidemic	epidemic	NOUN
ejpam-6884	760	6	model	model	NOUN
ejpam-6884	760	7	with	with	ADP
ejpam-6884	760	8	v.	v.	ADP
ejpam-6884	760	9	govindan	govindan	PROPN
ejpam-6884	760	10	et	et	PROPN
ejpam-6884	760	11	al	al	PROPN
ejpam-6884	760	12	.	.	PUNCT
ejpam-6884	760	13	/	/	SYM
ejpam-6884	760	14	eur	eur	PROPN
ejpam-6884	760	15	.	.	PUNCT
ejpam-6884	761	1	j.	j.	PROPN
ejpam-6884	761	2	pure	pure	PROPN
ejpam-6884	761	3	appl	appl	PROPN
ejpam-6884	761	4	.	.	PROPN
ejpam-6884	761	5	math	math	PROPN
ejpam-6884	761	6	,	,	PUNCT
ejpam-6884	761	7	18	18	NUM
ejpam-6884	761	8	(	(	PUNCT
ejpam-6884	761	9	4	4	NUM
ejpam-6884	761	10	)	)	PUNCT
ejpam-6884	761	11	(	(	PUNCT
ejpam-6884	761	12	2025	2025	NUM
ejpam-6884	761	13	)	)	PUNCT
ejpam-6884	761	14	,	,	PUNCT
ejpam-6884	761	15	6884	6884	NUM
ejpam-6884	761	16	29	29	NUM
ejpam-6884	761	17	of	of	ADP
ejpam-6884	761	18	29	29	NUM
ejpam-6884	761	19	fuzzy	fuzzy	ADJ
ejpam-6884	761	20	transmission	transmission	NOUN
ejpam-6884	761	21	and	and	CCONJ
ejpam-6884	761	22	fuzzy	fuzzy	ADJ
ejpam-6884	761	23	treatment	treatment	NOUN
ejpam-6884	761	24	control	control	NOUN
ejpam-6884	761	25	.	.	PUNCT
ejpam-6884	762	1	journal	journal	PROPN
ejpam-6884	762	2	of	of	ADP
ejpam-6884	762	3	applied	apply	VERB
ejpam-6884	762	4	mathematics	mathematic	NOUN
ejpam-6884	762	5	and	and	CCONJ
ejpam-6884	762	6	computing	computing	NOUN
ejpam-6884	762	7	,	,	PUNCT
ejpam-6884	762	8	68(3):1929–1948	68(3):1929–1948	NUM
ejpam-6884	762	9	,	,	PUNCT
ejpam-6884	762	10	2022	2022	NUM
ejpam-6884	762	11	.	.	PUNCT
ejpam-6884	763	1	[	[	X
ejpam-6884	763	2	47	47	NUM
ejpam-6884	763	3	]	]	X
ejpam-6884	763	4	saba	saba	PROPN
ejpam-6884	763	5	riaz	riaz	PROPN
ejpam-6884	763	6	,	,	PUNCT
ejpam-6884	763	7	asif	asif	PROPN
ejpam-6884	763	8	ali	ali	PROPN
ejpam-6884	763	9	,	,	PUNCT
ejpam-6884	763	10	and	and	CCONJ
ejpam-6884	763	11	maria	maria	PROPN
ejpam-6884	763	12	munir	munir	PROPN
ejpam-6884	763	13	.	.	PUNCT
ejpam-6884	764	1	sensitivity	sensitivity	NOUN
ejpam-6884	764	2	analysis	analysis	NOUN
ejpam-6884	764	3	of	of	ADP
ejpam-6884	764	4	an	an	DET
ejpam-6884	764	5	infectious	infectious	ADJ
ejpam-6884	764	6	disease	disease	NOUN
ejpam-6884	764	7	model	model	NOUN
ejpam-6884	764	8	under	under	ADP
ejpam-6884	764	9	fuzzy	fuzzy	ADJ
ejpam-6884	764	10	impreciseness	impreciseness	PROPN
ejpam-6884	764	11	.	.	PUNCT
ejpam-6884	765	1	partial	partial	ADJ
ejpam-6884	765	2	differential	differential	ADJ
ejpam-6884	765	3	equations	equation	NOUN
ejpam-6884	765	4	in	in	ADP
ejpam-6884	765	5	applied	applied	ADJ
ejpam-6884	765	6	mathematics	mathematic	NOUN
ejpam-6884	765	7	,	,	PUNCT
ejpam-6884	765	8	9:100638	9:100638	NUM
ejpam-6884	765	9	,	,	PUNCT
ejpam-6884	765	10	2024	2024	NUM
ejpam-6884	765	11	.	.	PUNCT
ejpam-6884	766	1	[	[	X
ejpam-6884	766	2	48	48	NUM
ejpam-6884	766	3	]	]	SYM
ejpam-6884	766	4	v	v	NOUN
ejpam-6884	766	5	padmapriya	padmapriya	NOUN
ejpam-6884	766	6	and	and	CCONJ
ejpam-6884	766	7	m	m	PROPN
ejpam-6884	766	8	kaliyappan	kaliyappan	NOUN
ejpam-6884	766	9	.	.	PUNCT
ejpam-6884	767	1	fuzzy	fuzzy	ADJ
ejpam-6884	767	2	fractional	fractional	ADJ
ejpam-6884	767	3	mathematical	mathematical	ADJ
ejpam-6884	767	4	model	model	NOUN
ejpam-6884	767	5	of	of	ADP
ejpam-6884	767	6	covid-19	covid-19	PROPN
ejpam-6884	767	7	epidemic	epidemic	NOUN
ejpam-6884	767	8	.	.	PUNCT
ejpam-6884	768	1	journal	journal	NOUN
ejpam-6884	768	2	of	of	ADP
ejpam-6884	768	3	intelligent	intelligent	ADJ
ejpam-6884	768	4	&	&	CCONJ
ejpam-6884	768	5	fuzzy	fuzzy	ADJ
ejpam-6884	768	6	systems	system	NOUN
ejpam-6884	768	7	,	,	PUNCT
ejpam-6884	768	8	42(4):3299–3321	42(4):3299–3321	NUM
ejpam-6884	768	9	,	,	PUNCT
ejpam-6884	768	10	2022	2022	NUM
ejpam-6884	768	11	.	.	PUNCT
ejpam-6884	769	1	[	[	X
ejpam-6884	769	2	49	49	NUM
ejpam-6884	769	3	]	]	PUNCT
ejpam-6884	769	4	a	a	DET
ejpam-6884	769	5	hanif	hanif	PROPN
ejpam-6884	769	6	,	,	PUNCT
ejpam-6884	769	7	arshad	arshad	PROPN
ejpam-6884	769	8	riaz	riaz	PROPN
ejpam-6884	769	9	khan	khan	PROPN
ejpam-6884	769	10	butt	butt	PROPN
ejpam-6884	769	11	,	,	PUNCT
ejpam-6884	769	12	s	s	PART
ejpam-6884	769	13	ahmad	ahmad	PROPN
ejpam-6884	769	14	,	,	PUNCT
ejpam-6884	769	15	rafi	rafi	PROPN
ejpam-6884	769	16	ud	ud	AUX
ejpam-6884	769	17	din	din	PROPN
ejpam-6884	769	18	,	,	PUNCT
ejpam-6884	769	19	and	and	CCONJ
ejpam-6884	769	20	mustafa	mustafa	PROPN
ejpam-6884	769	21	inc	inc	PROPN
ejpam-6884	769	22	.	.	PROPN
ejpam-6884	770	1	a	a	DET
ejpam-6884	770	2	new	new	ADJ
ejpam-6884	770	3	fuzzy	fuzzy	ADJ
ejpam-6884	770	4	fractional	fractional	ADJ
ejpam-6884	770	5	order	order	NOUN
ejpam-6884	770	6	model	model	NOUN
ejpam-6884	770	7	of	of	ADP
ejpam-6884	770	8	transmission	transmission	NOUN
ejpam-6884	770	9	of	of	ADP
ejpam-6884	770	10	covid-19	covid-19	PROPN
ejpam-6884	770	11	with	with	ADP
ejpam-6884	770	12	quarantine	quarantine	NOUN
ejpam-6884	770	13	class	class	NOUN
ejpam-6884	770	14	.	.	PUNCT
ejpam-6884	771	1	the	the	DET
ejpam-6884	771	2	european	european	PROPN
ejpam-6884	771	3	physical	physical	PROPN
ejpam-6884	771	4	journal	journal	PROPN
ejpam-6884	771	5	plus	plus	CCONJ
ejpam-6884	771	6	,	,	PUNCT
ejpam-6884	771	7	136(11):1–28	136(11):1–28	PROPN
ejpam-6884	771	8	,	,	PUNCT
ejpam-6884	771	9	2021	2021	NUM
ejpam-6884	771	10	.	.	PUNCT
ejpam-6884	772	1	[	[	X
ejpam-6884	772	2	50	50	NUM
ejpam-6884	772	3	]	]	PUNCT
ejpam-6884	772	4	s	s	VERB
ejpam-6884	772	5	chakraverty	chakraverty	NOUN
ejpam-6884	772	6	,	,	PUNCT
ejpam-6884	772	7	rm	rm	PROPN
ejpam-6884	772	8	jena	jena	PROPN
ejpam-6884	772	9	,	,	PUNCT
ejpam-6884	772	10	and	and	CCONJ
ejpam-6884	772	11	sk	sk	ADP
ejpam-6884	772	12	jena	jena	PROPN
ejpam-6884	772	13	.	.	PUNCT
ejpam-6884	773	1	fuzzy	fuzzy	ADJ
ejpam-6884	773	2	time	time	NOUN
ejpam-6884	773	3	-	-	PUNCT
ejpam-6884	773	4	fractional	fractional	ADJ
ejpam-6884	773	5	sirs	sir	NOUN
ejpam-6884	773	6	-	-	PUNCT
ejpam-6884	773	7	si	si	NOUN
ejpam-6884	773	8	malaria	malaria	NOUN
ejpam-6884	773	9	disease	disease	NOUN
ejpam-6884	773	10	model	model	NOUN
ejpam-6884	773	11	.	.	PUNCT
ejpam-6884	774	1	in	in	ADP
ejpam-6884	774	2	time	time	NOUN
ejpam-6884	774	3	-	-	PUNCT
ejpam-6884	774	4	fractional	fractional	ADJ
ejpam-6884	774	5	order	order	NOUN
ejpam-6884	774	6	biological	biological	ADJ
ejpam-6884	774	7	systems	system	NOUN
ejpam-6884	774	8	with	with	ADP
ejpam-6884	774	9	uncertain	uncertain	ADJ
ejpam-6884	774	10	parameters	parameter	NOUN
ejpam-6884	774	11	,	,	PUNCT
ejpam-6884	774	12	pages	page	NOUN
ejpam-6884	774	13	123–142	123–142	NUM
ejpam-6884	774	14	.	.	PUNCT
ejpam-6884	774	15	springer	springer	NOUN
ejpam-6884	774	16	,	,	PUNCT
ejpam-6884	774	17	2020	2020	NUM
ejpam-6884	774	18	.	.	PUNCT
ejpam-6884	775	1	[	[	X
ejpam-6884	775	2	51	51	NUM
ejpam-6884	775	3	]	]	SYM
ejpam-6884	775	4	tofigh	tofigh	NOUN
ejpam-6884	775	5	allahviranloo	allahviranloo	NOUN
ejpam-6884	775	6	.	.	PUNCT
ejpam-6884	776	1	fuzzy	fuzzy	ADJ
ejpam-6884	776	2	fractional	fractional	ADJ
ejpam-6884	776	3	differential	differential	NOUN
ejpam-6884	776	4	operators	operator	NOUN
ejpam-6884	776	5	and	and	CCONJ
ejpam-6884	776	6	equations	equation	NOUN
ejpam-6884	776	7	.	.	PUNCT
ejpam-6884	777	1	springer	springer	NOUN
ejpam-6884	777	2	,	,	PUNCT
ejpam-6884	777	3	2021	2021	NUM
ejpam-6884	777	4	.	.	PUNCT
ejpam-6884	778	1	[	[	X
ejpam-6884	778	2	52	52	NUM
ejpam-6884	778	3	]	]	PUNCT
ejpam-6884	778	4	leila	leila	PROPN
ejpam-6884	778	5	safikhani	safikhani	PROPN
ejpam-6884	778	6	,	,	PUNCT
ejpam-6884	778	7	tofigh	tofigh	ADJ
ejpam-6884	778	8	allahviranloo	allahviranloo	NOUN
ejpam-6884	778	9	,	,	PUNCT
ejpam-6884	778	10	ljerka	ljerka	NOUN
ejpam-6884	778	11	mrsic	mrsic	NOUN
ejpam-6884	778	12	,	,	PUNCT
ejpam-6884	778	13	and	and	CCONJ
ejpam-6884	778	14	shyamal	shyamal	ADJ
ejpam-6884	778	15	samanta	samanta	PROPN
ejpam-6884	778	16	.	.	PUNCT
ejpam-6884	778	17	numerical	numerical	ADJ
ejpam-6884	778	18	solution	solution	NOUN
ejpam-6884	778	19	for	for	ADP
ejpam-6884	778	20	fuzzy	fuzzy	ADJ
ejpam-6884	778	21	fractional	fractional	ADJ
ejpam-6884	778	22	differential	differential	ADJ
ejpam-6884	778	23	equations	equation	NOUN
ejpam-6884	778	24	by	by	ADP
ejpam-6884	778	25	fuzzy	fuzzy	ADJ
ejpam-6884	778	26	multi	multi	ADJ
ejpam-6884	778	27	-	-	ADJ
ejpam-6884	778	28	step	step	ADJ
ejpam-6884	778	29	methods	method	NOUN
ejpam-6884	778	30	.	.	PUNCT
ejpam-6884	779	1	symmetry	symmetry	NOUN
ejpam-6884	779	2	,	,	PUNCT
ejpam-6884	779	3	17(4):545	17(4):545	NUM
ejpam-6884	779	4	,	,	PUNCT
ejpam-6884	779	5	2025	2025	NUM
ejpam-6884	779	6	.	.	PUNCT
ejpam-6884	780	1	[	[	X
ejpam-6884	780	2	53	53	NUM
ejpam-6884	780	3	]	]	X
ejpam-6884	780	4	irina	irina	PROPN
ejpam-6884	780	5	perfilieva	perfilieva	PROPN
ejpam-6884	780	6	.	.	PUNCT
ejpam-6884	781	1	fuzzy	fuzzy	ADJ
ejpam-6884	781	2	transforms	transform	VERB
ejpam-6884	781	3	:	:	PUNCT
ejpam-6884	781	4	theory	theory	NOUN
ejpam-6884	781	5	and	and	CCONJ
ejpam-6884	781	6	applications	application	NOUN
ejpam-6884	781	7	.	.	PUNCT
ejpam-6884	782	1	fuzzy	fuzzy	ADJ
ejpam-6884	782	2	sets	set	NOUN
ejpam-6884	782	3	and	and	CCONJ
ejpam-6884	782	4	systems	system	NOUN
ejpam-6884	782	5	,	,	PUNCT
ejpam-6884	782	6	157(3):993–1023	157(3):993–1023	NUM
ejpam-6884	782	7	,	,	PUNCT
ejpam-6884	782	8	2006	2006	NUM
ejpam-6884	782	9	.	.	PUNCT
ejpam-6884	783	1	[	[	X
ejpam-6884	783	2	54	54	NUM
ejpam-6884	783	3	]	]	PUNCT
ejpam-6884	783	4	osmo	osmo	PROPN
ejpam-6884	783	5	kaleva	kaleva	PROPN
ejpam-6884	783	6	.	.	PUNCT
ejpam-6884	783	7	fuzzy	fuzzy	ADJ
ejpam-6884	783	8	differential	differential	ADJ
ejpam-6884	783	9	equations	equation	NOUN
ejpam-6884	783	10	.	.	PUNCT
ejpam-6884	784	1	fuzzy	fuzzy	ADJ
ejpam-6884	784	2	sets	set	NOUN
ejpam-6884	784	3	and	and	CCONJ
ejpam-6884	784	4	systems	system	NOUN
ejpam-6884	784	5	,	,	PUNCT
ejpam-6884	784	6	24(3):301–317	24(3):301–317	NOUN
ejpam-6884	784	7	,	,	PUNCT
ejpam-6884	784	8	1987	1987	NUM
ejpam-6884	784	9	.	.	PUNCT
ejpam-6884	785	1	[	[	X
ejpam-6884	785	2	55	55	NUM
ejpam-6884	785	3	]	]	SYM
ejpam-6884	785	4	s	s	PART
ejpam-6884	785	5	arshad	arshad	VERB
ejpam-6884	785	6	and	and	CCONJ
ejpam-6884	785	7	v	v	NOUN
ejpam-6884	785	8	lupulescu	lupulescu	NOUN
ejpam-6884	785	9	.	.	PUNCT
ejpam-6884	786	1	fractional	fractional	ADJ
ejpam-6884	786	2	differential	differential	ADJ
ejpam-6884	786	3	equation	equation	NOUN
ejpam-6884	786	4	with	with	ADP
ejpam-6884	786	5	the	the	DET
ejpam-6884	786	6	fuzzy	fuzzy	ADJ
ejpam-6884	786	7	initial	initial	ADJ
ejpam-6884	786	8	condition	condition	NOUN
ejpam-6884	786	9	.	.	PUNCT
ejpam-6884	787	1	electronic	electronic	ADJ
ejpam-6884	787	2	journal	journal	NOUN
ejpam-6884	787	3	of	of	ADP
ejpam-6884	787	4	differential	differential	ADJ
ejpam-6884	787	5	equations	equation	NOUN
ejpam-6884	787	6	,	,	PUNCT
ejpam-6884	787	7	2011(34):1–15	2011(34):1–15	NUM
ejpam-6884	787	8	,	,	PUNCT
ejpam-6884	787	9	2011	2011	NUM
ejpam-6884	787	10	.	.	PUNCT
ejpam-6884	788	1	[	[	X
ejpam-6884	788	2	56	56	NUM
ejpam-6884	788	3	]	]	X
ejpam-6884	788	4	kwang	kwang	PROPN
ejpam-6884	788	5	h	h	PROPN
ejpam-6884	788	6	lee	lee	PROPN
ejpam-6884	788	7	.	.	PROPN
ejpam-6884	788	8	fuzzy	fuzzy	ADJ
ejpam-6884	788	9	function	function	NOUN
ejpam-6884	788	10	.	.	PUNCT
ejpam-6884	789	1	in	in	ADP
ejpam-6884	789	2	first	first	ADJ
ejpam-6884	789	3	course	course	NOUN
ejpam-6884	789	4	on	on	ADP
ejpam-6884	789	5	fuzzy	fuzzy	ADJ
ejpam-6884	789	6	theory	theory	NOUN
ejpam-6884	789	7	and	and	CCONJ
ejpam-6884	789	8	applications	application	NOUN
ejpam-6884	789	9	,	,	PUNCT
ejpam-6884	789	10	pages	page	NOUN
ejpam-6884	789	11	153–170	153–170	NUM
ejpam-6884	789	12	.	.	PUNCT
ejpam-6884	790	1	springer	springer	NOUN
ejpam-6884	790	2	,	,	PUNCT
ejpam-6884	790	3	2005	2005	NUM
ejpam-6884	790	4	.	.	PUNCT
ejpam-6884	791	1	[	[	X
ejpam-6884	791	2	57	57	NUM
ejpam-6884	791	3	]	]	SYM
ejpam-6884	791	4	laécio	laécio	NUM
ejpam-6884	791	5	carvalho	carvalho	PROPN
ejpam-6884	791	6	de	de	PROPN
ejpam-6884	791	7	barros	barros	PROPN
ejpam-6884	791	8	,	,	PUNCT
ejpam-6884	791	9	rodney	rodney	PROPN
ejpam-6884	791	10	carlos	carlos	PROPN
ejpam-6884	791	11	bassanezi	bassanezi	PROPN
ejpam-6884	791	12	,	,	PUNCT
ejpam-6884	791	13	and	and	CCONJ
ejpam-6884	791	14	weldon	weldon	PROPN
ejpam-6884	791	15	alexander	alexander	PROPN
ejpam-6884	791	16	lodwick	lodwick	PROPN
ejpam-6884	791	17	.	.	PUNCT
ejpam-6884	792	1	a	a	DET
ejpam-6884	792	2	first	first	ADJ
ejpam-6884	792	3	course	course	NOUN
ejpam-6884	792	4	in	in	ADP
ejpam-6884	792	5	fuzzy	fuzzy	ADJ
ejpam-6884	792	6	logic	logic	NOUN
ejpam-6884	792	7	,	,	PUNCT
ejpam-6884	792	8	fuzzy	fuzzy	ADJ
ejpam-6884	792	9	dynamical	dynamical	ADJ
ejpam-6884	792	10	systems	system	NOUN
ejpam-6884	792	11	,	,	PUNCT
ejpam-6884	792	12	and	and	CCONJ
ejpam-6884	792	13	biomathematics	biomathematic	NOUN
ejpam-6884	792	14	:	:	PUNCT
ejpam-6884	792	15	theory	theory	NOUN
ejpam-6884	792	16	and	and	CCONJ
ejpam-6884	792	17	applications	application	NOUN
ejpam-6884	792	18	.	.	PUNCT
ejpam-6884	793	1	springer	springer	NOUN
ejpam-6884	793	2	,	,	PUNCT
ejpam-6884	793	3	2017	2017	NUM
ejpam-6884	793	4	.	.	PUNCT
ejpam-6884	794	1	[	[	X
ejpam-6884	794	2	58	58	NUM
ejpam-6884	794	3	]	]	PUNCT
ejpam-6884	794	4	prasenjit	prasenjit	PROPN
ejpam-6884	794	5	mahato	mahato	NOUN
ejpam-6884	794	6	,	,	PUNCT
ejpam-6884	794	7	subhashis	subhashis	ADJ
ejpam-6884	794	8	das	das	PROPN
ejpam-6884	794	9	,	,	PUNCT
ejpam-6884	794	10	and	and	CCONJ
ejpam-6884	794	11	sanat	sanat	PROPN
ejpam-6884	794	12	kumar	kumar	PROPN
ejpam-6884	794	13	mahato	mahato	PROPN
ejpam-6884	794	14	.	.	PUNCT
ejpam-6884	795	1	an	an	DET
ejpam-6884	795	2	epidemic	epidemic	NOUN
ejpam-6884	795	3	model	model	NOUN
ejpam-6884	795	4	through	through	ADP
ejpam-6884	795	5	information	information	NOUN
ejpam-6884	795	6	-	-	PUNCT
ejpam-6884	795	7	induced	induce	VERB
ejpam-6884	795	8	vaccination	vaccination	NOUN
ejpam-6884	795	9	and	and	CCONJ
ejpam-6884	795	10	treatment	treatment	NOUN
ejpam-6884	795	11	under	under	ADP
ejpam-6884	795	12	fuzzy	fuzzy	ADJ
ejpam-6884	795	13	impreciseness	impreciseness	NOUN
ejpam-6884	795	14	.	.	PUNCT
ejpam-6884	796	1	modeling	model	VERB
ejpam-6884	796	2	earth	earth	NOUN
ejpam-6884	796	3	systems	system	NOUN
ejpam-6884	796	4	and	and	CCONJ
ejpam-6884	796	5	environment	environment	NOUN
ejpam-6884	796	6	,	,	PUNCT
ejpam-6884	796	7	8(3):2863–2887	8(3):2863–2887	NUM
ejpam-6884	796	8	,	,	PUNCT
ejpam-6884	796	9	2022	2022	NUM
ejpam-6884	796	10	.	.	PUNCT
ejpam-6884	797	1	[	[	X
ejpam-6884	797	2	59	59	NUM
ejpam-6884	797	3	]	]	PUNCT
ejpam-6884	797	4	abdon	abdon	PROPN
ejpam-6884	797	5	atangana	atangana	PROPN
ejpam-6884	797	6	.	.	PUNCT
ejpam-6884	798	1	fractal	fractal	ADJ
ejpam-6884	798	2	-	-	PUNCT
ejpam-6884	798	3	fractional	fractional	ADJ
ejpam-6884	798	4	differentiation	differentiation	NOUN
ejpam-6884	798	5	and	and	CCONJ
ejpam-6884	798	6	integration	integration	NOUN
ejpam-6884	798	7	:	:	PUNCT
ejpam-6884	798	8	connecting	connect	VERB
ejpam-6884	798	9	fractal	fractal	ADJ
ejpam-6884	798	10	calculus	calculus	NOUN
ejpam-6884	798	11	and	and	CCONJ
ejpam-6884	798	12	fractional	fractional	ADJ
ejpam-6884	798	13	calculus	calculus	NOUN
ejpam-6884	798	14	to	to	PART
ejpam-6884	798	15	predict	predict	VERB
ejpam-6884	798	16	complex	complex	ADJ
ejpam-6884	798	17	system	system	NOUN
ejpam-6884	798	18	.	.	PUNCT
ejpam-6884	799	1	chaos	chaos	NOUN
ejpam-6884	799	2	,	,	PUNCT
ejpam-6884	799	3	solitons	soliton	NOUN
ejpam-6884	799	4	&	&	CCONJ
ejpam-6884	799	5	fractals	fractal	NOUN
ejpam-6884	799	6	,	,	PUNCT
ejpam-6884	799	7	102:396–406	102:396–406	NUM
ejpam-6884	799	8	,	,	PUNCT
ejpam-6884	799	9	2017	2017	NUM
ejpam-6884	799	10	.	.	PUNCT
ejpam-6884	800	1	[	[	X
ejpam-6884	800	2	60	60	NUM
ejpam-6884	800	3	]	]	X
ejpam-6884	800	4	shao	shao	PROPN
ejpam-6884	800	5	-	-	PUNCT
ejpam-6884	800	6	wen	wen	PROPN
ejpam-6884	800	7	yao	yao	PROPN
ejpam-6884	800	8	,	,	PUNCT
ejpam-6884	800	9	a	a	DET
ejpam-6884	800	10	ahmad	ahmad	PROPN
ejpam-6884	800	11	,	,	PUNCT
ejpam-6884	800	12	m	m	PROPN
ejpam-6884	800	13	inc	inc	PROPN
ejpam-6884	800	14	,	,	PUNCT
ejpam-6884	800	15	m	m	PROPN
ejpam-6884	800	16	farman	farman	ADJ
ejpam-6884	800	17	,	,	PUNCT
ejpam-6884	800	18	a	a	DET
ejpam-6884	800	19	ghaffar	ghaffar	NOUN
ejpam-6884	800	20	,	,	PUNCT
ejpam-6884	800	21	and	and	CCONJ
ejpam-6884	800	22	a	a	DET
ejpam-6884	800	23	akgul	akgul	NOUN
ejpam-6884	800	24	.	.	PUNCT
ejpam-6884	801	1	analysis	analysis	NOUN
ejpam-6884	801	2	of	of	ADP
ejpam-6884	801	3	fractional	fractional	ADJ
ejpam-6884	801	4	order	order	NOUN
ejpam-6884	801	5	diarrhea	diarrhea	NOUN
ejpam-6884	801	6	model	model	NOUN
ejpam-6884	801	7	using	use	VERB
ejpam-6884	801	8	fractal	fractal	ADJ
ejpam-6884	801	9	fractional	fractional	ADJ
ejpam-6884	801	10	operator	operator	NOUN
ejpam-6884	801	11	.	.	PUNCT
ejpam-6884	802	1	fractals	fractal	NOUN
ejpam-6884	802	2	,	,	PUNCT
ejpam-6884	802	3	30(05):2240173	30(05):2240173	NUM
ejpam-6884	802	4	,	,	PUNCT
ejpam-6884	802	5	2022	2022	NUM
ejpam-6884	802	6	.	.	PUNCT