id	sid	tid	token	lemma	pos
ejpam-5933	1	1	european	european	PROPN
ejpam-5933	1	2	journal	journal	PROPN
ejpam-5933	1	3	of	of	ADP
ejpam-5933	1	4	pure	pure	ADJ
ejpam-5933	1	5	and	and	CCONJ
ejpam-5933	1	6	applied	applied	ADJ
ejpam-5933	1	7	mathematics	mathematic	NOUN
ejpam-5933	1	8	2025	2025	NUM
ejpam-5933	1	9	,	,	PUNCT
ejpam-5933	1	10	vol	vol	NOUN
ejpam-5933	1	11	.	.	PROPN
ejpam-5933	1	12	18	18	NUM
ejpam-5933	1	13	,	,	PUNCT
ejpam-5933	1	14	issue	issue	NOUN
ejpam-5933	1	15	2	2	NUM
ejpam-5933	1	16	,	,	PUNCT
ejpam-5933	1	17	article	article	NOUN
ejpam-5933	1	18	number	number	NOUN
ejpam-5933	1	19	5933	5933	NUM
ejpam-5933	1	20	issn	issn	PROPN
ejpam-5933	1	21	1307	1307	NUM
ejpam-5933	1	22	-	-	SYM
ejpam-5933	1	23	5543	5543	NUM
ejpam-5933	1	24	–	–	PUNCT
ejpam-5933	1	25	ejpam.com	ejpam.com	X
ejpam-5933	1	26	published	publish	VERB
ejpam-5933	1	27	by	by	ADP
ejpam-5933	1	28	new	new	PROPN
ejpam-5933	1	29	york	york	PROPN
ejpam-5933	1	30	business	business	PROPN
ejpam-5933	1	31	global	global	PROPN
ejpam-5933	1	32	mathematical	mathematical	ADJ
ejpam-5933	1	33	seir	seir	NOUN
ejpam-5933	1	34	model	model	NOUN
ejpam-5933	1	35	of	of	ADP
ejpam-5933	1	36	the	the	DET
ejpam-5933	1	37	lumpy	lumpy	ADJ
ejpam-5933	1	38	skin	skin	NOUN
ejpam-5933	1	39	disease	disease	NOUN
ejpam-5933	1	40	using	use	VERB
ejpam-5933	1	41	caputo	caputo	PROPN
ejpam-5933	1	42	-	-	PUNCT
ejpam-5933	1	43	fabrizio	fabrizio	PROPN
ejpam-5933	1	44	fractional	fractional	ADJ
ejpam-5933	1	45	-	-	PUNCT
ejpam-5933	1	46	order	order	NOUN
ejpam-5933	1	47	rajagopalan	rajagopalan	NOUN
ejpam-5933	1	48	ramaswamy1,∗	ramaswamy1,∗	NOUN
ejpam-5933	1	49	,	,	PUNCT
ejpam-5933	1	50	gunaseelan	gunaseelan	PROPN
ejpam-5933	1	51	mani2	mani2	PROPN
ejpam-5933	1	52	,	,	PUNCT
ejpam-5933	1	53	radhakrishnan	radhakrishnan	PROPN
ejpam-5933	1	54	mohanraj3,4	mohanraj3,4	PROPN
ejpam-5933	1	55	,	,	PUNCT
ejpam-5933	1	56	ozgur	ozgur	PROPN
ejpam-5933	1	57	ege5	ege5	PROPN
ejpam-5933	1	58	1	1	NUM
ejpam-5933	1	59	department	department	NOUN
ejpam-5933	1	60	of	of	ADP
ejpam-5933	1	61	mathematics	mathematic	NOUN
ejpam-5933	1	62	,	,	PUNCT
ejpam-5933	1	63	college	college	NOUN
ejpam-5933	1	64	of	of	ADP
ejpam-5933	1	65	science	science	NOUN
ejpam-5933	1	66	and	and	CCONJ
ejpam-5933	1	67	humanities	humanity	NOUN
ejpam-5933	1	68	in	in	ADP
ejpam-5933	1	69	alkharj	alkharj	NOUN
ejpam-5933	1	70	,	,	PUNCT
ejpam-5933	1	71	prince	prince	PROPN
ejpam-5933	1	72	sattam	sattam	PROPN
ejpam-5933	1	73	bin	bin	PROPN
ejpam-5933	1	74	abdulaziz	abdulaziz	PROPN
ejpam-5933	1	75	university	university	PROPN
ejpam-5933	1	76	,	,	PUNCT
ejpam-5933	1	77	alkharj	alkharj	VERB
ejpam-5933	1	78	11942	11942	NUM
ejpam-5933	1	79	,	,	PUNCT
ejpam-5933	1	80	saudi	saudi	PROPN
ejpam-5933	1	81	arabia	arabia	PROPN
ejpam-5933	1	82	2	2	NUM
ejpam-5933	1	83	department	department	NOUN
ejpam-5933	1	84	of	of	ADP
ejpam-5933	1	85	mathematics	mathematic	NOUN
ejpam-5933	1	86	,	,	PUNCT
ejpam-5933	1	87	saveetha	saveetha	PROPN
ejpam-5933	1	88	school	school	PROPN
ejpam-5933	1	89	of	of	ADP
ejpam-5933	1	90	engineering	engineering	PROPN
ejpam-5933	1	91	,	,	PUNCT
ejpam-5933	1	92	saveetha	saveetha	PROPN
ejpam-5933	1	93	institute	institute	PROPN
ejpam-5933	1	94	of	of	ADP
ejpam-5933	1	95	medical	medical	ADJ
ejpam-5933	1	96	and	and	CCONJ
ejpam-5933	1	97	technical	technical	ADJ
ejpam-5933	1	98	sciences	science	NOUN
ejpam-5933	1	99	,	,	PUNCT
ejpam-5933	1	100	chennai	chennai	NOUN
ejpam-5933	1	101	602105	602105	NUM
ejpam-5933	1	102	,	,	PUNCT
ejpam-5933	1	103	india	india	PROPN
ejpam-5933	1	104	3	3	NUM
ejpam-5933	1	105	directorate	directorate	NOUN
ejpam-5933	1	106	of	of	ADP
ejpam-5933	1	107	learning	learning	NOUN
ejpam-5933	1	108	and	and	CCONJ
ejpam-5933	1	109	development	development	NOUN
ejpam-5933	1	110	,	,	PUNCT
ejpam-5933	1	111	srm	srm	PROPN
ejpam-5933	1	112	institute	institute	PROPN
ejpam-5933	1	113	of	of	ADP
ejpam-5933	1	114	science	science	NOUN
ejpam-5933	1	115	and	and	CCONJ
ejpam-5933	1	116	technology	technology	NOUN
ejpam-5933	1	117	,	,	PUNCT
ejpam-5933	1	118	kattankulathur	kattankulathur	PROPN
ejpam-5933	1	119	,	,	PUNCT
ejpam-5933	1	120	chennai	chennai	PROPN
ejpam-5933	1	121	,	,	PUNCT
ejpam-5933	1	122	603203	603203	NUM
ejpam-5933	1	123	,	,	PUNCT
ejpam-5933	1	124	tamil	tamil	PROPN
ejpam-5933	1	125	nadu	nadu	PROPN
ejpam-5933	1	126	,	,	PUNCT
ejpam-5933	1	127	india	india	PROPN
ejpam-5933	1	128	4	4	NUM
ejpam-5933	1	129	department	department	NOUN
ejpam-5933	1	130	of	of	ADP
ejpam-5933	1	131	mathematics	mathematic	NOUN
ejpam-5933	1	132	,	,	PUNCT
ejpam-5933	1	133	srm	srm	PROPN
ejpam-5933	1	134	institute	institute	PROPN
ejpam-5933	1	135	of	of	ADP
ejpam-5933	1	136	science	science	NOUN
ejpam-5933	1	137	and	and	CCONJ
ejpam-5933	1	138	technology	technology	NOUN
ejpam-5933	1	139	,	,	PUNCT
ejpam-5933	1	140	kattankulathur	kattankulathur	PROPN
ejpam-5933	1	141	,	,	PUNCT
ejpam-5933	1	142	chennai	chennai	PROPN
ejpam-5933	1	143	,	,	PUNCT
ejpam-5933	1	144	603203	603203	NUM
ejpam-5933	1	145	,	,	PUNCT
ejpam-5933	1	146	tamil	tamil	PROPN
ejpam-5933	1	147	nadu	nadu	PROPN
ejpam-5933	1	148	,	,	PUNCT
ejpam-5933	1	149	india	india	PROPN
ejpam-5933	1	150	5	5	NUM
ejpam-5933	1	151	department	department	NOUN
ejpam-5933	1	152	of	of	ADP
ejpam-5933	1	153	mathematics	mathematics	PROPN
ejpam-5933	1	154	,	,	PUNCT
ejpam-5933	1	155	ege	ege	PROPN
ejpam-5933	1	156	university	university	NOUN
ejpam-5933	1	157	,	,	PUNCT
ejpam-5933	1	158	bornova	bornova	PROPN
ejpam-5933	1	159	,	,	PUNCT
ejpam-5933	1	160	izmir	izmir	PROPN
ejpam-5933	1	161	,	,	PUNCT
ejpam-5933	1	162	35100	35100	NUM
ejpam-5933	1	163	,	,	PUNCT
ejpam-5933	1	164	turkey	turkey	PROPN
ejpam-5933	1	165	abstract	abstract	NOUN
ejpam-5933	1	166	.	.	PUNCT
ejpam-5933	2	1	un	un	PROPN
ejpam-5933	2	2	sd	sd	PROPN
ejpam-5933	2	3	goal-3	goal-3	PROPN
ejpam-5933	2	4	focuses	focus	VERB
ejpam-5933	2	5	on	on	ADP
ejpam-5933	2	6	good	good	ADJ
ejpam-5933	2	7	health	health	NOUN
ejpam-5933	2	8	and	and	CCONJ
ejpam-5933	2	9	well	well	ADV
ejpam-5933	2	10	-	-	PUNCT
ejpam-5933	2	11	being	being	NOUN
ejpam-5933	2	12	,	,	PUNCT
ejpam-5933	2	13	while	while	SCONJ
ejpam-5933	2	14	the	the	DET
ejpam-5933	2	15	15th	15th	ADJ
ejpam-5933	2	16	goal	goal	NOUN
ejpam-5933	2	17	focuses	focus	VERB
ejpam-5933	2	18	on	on	ADP
ejpam-5933	2	19	life	life	NOUN
ejpam-5933	2	20	on	on	ADP
ejpam-5933	2	21	land	land	NOUN
ejpam-5933	2	22	.	.	PUNCT
ejpam-5933	3	1	this	this	DET
ejpam-5933	3	2	research	research	NOUN
ejpam-5933	3	3	aims	aim	VERB
ejpam-5933	3	4	to	to	PART
ejpam-5933	3	5	study	study	VERB
ejpam-5933	3	6	an	an	DET
ejpam-5933	3	7	integral	integral	ADJ
ejpam-5933	3	8	model	model	NOUN
ejpam-5933	3	9	of	of	ADP
ejpam-5933	3	10	lumpy	lumpy	ADJ
ejpam-5933	3	11	skin	skin	NOUN
ejpam-5933	3	12	disease	disease	NOUN
ejpam-5933	3	13	to	to	PART
ejpam-5933	3	14	establish	establish	VERB
ejpam-5933	3	15	better	well	ADJ
ejpam-5933	3	16	knowledge	knowledge	NOUN
ejpam-5933	3	17	of	of	ADP
ejpam-5933	3	18	this	this	DET
ejpam-5933	3	19	condition	condition	NOUN
ejpam-5933	3	20	.	.	PUNCT
ejpam-5933	4	1	in	in	ADP
ejpam-5933	4	2	this	this	DET
ejpam-5933	4	3	study	study	NOUN
ejpam-5933	4	4	,	,	PUNCT
ejpam-5933	4	5	a	a	DET
ejpam-5933	4	6	caputo	caputo	PROPN
ejpam-5933	4	7	-	-	PUNCT
ejpam-5933	4	8	fabrizio	fabrizio	PROPN
ejpam-5933	4	9	fractional	fractional	ADJ
ejpam-5933	4	10	-	-	PUNCT
ejpam-5933	4	11	order	order	NOUN
ejpam-5933	4	12	model	model	NOUN
ejpam-5933	4	13	for	for	ADP
ejpam-5933	4	14	the	the	DET
ejpam-5933	4	15	dynamics	dynamic	NOUN
ejpam-5933	4	16	of	of	ADP
ejpam-5933	4	17	lumpy	lumpy	ADJ
ejpam-5933	4	18	skin	skin	NOUN
ejpam-5933	4	19	disease	disease	NOUN
ejpam-5933	4	20	(	(	PUNCT
ejpam-5933	4	21	lsd	lsd	NOUN
ejpam-5933	4	22	)	)	PUNCT
ejpam-5933	4	23	is	be	AUX
ejpam-5933	4	24	analysed	analyse	VERB
ejpam-5933	4	25	.	.	PUNCT
ejpam-5933	5	1	using	use	VERB
ejpam-5933	5	2	the	the	DET
ejpam-5933	5	3	picard	picard	NOUN
ejpam-5933	5	4	-	-	PUNCT
ejpam-5933	5	5	lindelöf	lindelöf	NOUN
ejpam-5933	5	6	theorem	theorem	VERB
ejpam-5933	5	7	in	in	ADP
ejpam-5933	5	8	the	the	DET
ejpam-5933	5	9	banach	banach	NOUN
ejpam-5933	5	10	space	space	NOUN
ejpam-5933	5	11	c([0	c([0	NOUN
ejpam-5933	5	12	,	,	PUNCT
ejpam-5933	5	13	1],r	1],r	NUM
ejpam-5933	5	14	)	)	PUNCT
ejpam-5933	5	15	with	with	ADP
ejpam-5933	5	16	the	the	DET
ejpam-5933	5	17	supremum	supremum	ADJ
ejpam-5933	5	18	norm	norm	NOUN
ejpam-5933	5	19	∥ϕ∥	∥ϕ∥	NOUN
ejpam-5933	5	20	=	=	SYM
ejpam-5933	5	21	maxs∈[0,1	maxs∈[0,1	NOUN
ejpam-5933	5	22	]	]	X
ejpam-5933	5	23	|ϕ(s)|	|ϕ(s)|	PROPN
ejpam-5933	5	24	,	,	PUNCT
ejpam-5933	5	25	we	we	PRON
ejpam-5933	5	26	prove	prove	VERB
ejpam-5933	5	27	existence	existence	NOUN
ejpam-5933	5	28	and	and	CCONJ
ejpam-5933	5	29	uniqueness	uniqueness	NOUN
ejpam-5933	5	30	of	of	ADP
ejpam-5933	5	31	solutions	solution	NOUN
ejpam-5933	5	32	via	via	ADP
ejpam-5933	5	33	fixed	fix	VERB
ejpam-5933	5	34	-	-	PUNCT
ejpam-5933	5	35	point	point	NOUN
ejpam-5933	5	36	theory	theory	NOUN
ejpam-5933	5	37	.	.	PUNCT
ejpam-5933	6	1	the	the	DET
ejpam-5933	6	2	positivity	positivity	NOUN
ejpam-5933	6	3	,	,	PUNCT
ejpam-5933	6	4	boundedness	boundedness	NOUN
ejpam-5933	6	5	,	,	PUNCT
ejpam-5933	6	6	and	and	CCONJ
ejpam-5933	6	7	ulam	ulam	NOUN
ejpam-5933	6	8	-	-	PUNCT
ejpam-5933	6	9	hyers	hyer	NOUN
ejpam-5933	6	10	stability	stability	NOUN
ejpam-5933	6	11	of	of	ADP
ejpam-5933	6	12	the	the	DET
ejpam-5933	6	13	model	model	NOUN
ejpam-5933	6	14	are	be	AUX
ejpam-5933	6	15	established	establish	VERB
ejpam-5933	6	16	.	.	PUNCT
ejpam-5933	7	1	disease	disease	NOUN
ejpam-5933	7	2	-	-	PUNCT
ejpam-5933	7	3	free	free	ADJ
ejpam-5933	7	4	and	and	CCONJ
ejpam-5933	7	5	endemic	endemic	ADJ
ejpam-5933	7	6	equilibria	equilibrium	NOUN
ejpam-5933	7	7	are	be	AUX
ejpam-5933	7	8	derived	derive	VERB
ejpam-5933	7	9	,	,	PUNCT
ejpam-5933	7	10	the	the	DET
ejpam-5933	7	11	basic	basic	ADJ
ejpam-5933	7	12	reproduction	reproduction	NOUN
ejpam-5933	7	13	number	number	NOUN
ejpam-5933	7	14	r0	r0	NOUN
ejpam-5933	7	15	is	be	AUX
ejpam-5933	7	16	computed	compute	VERB
ejpam-5933	7	17	,	,	PUNCT
ejpam-5933	7	18	and	and	CCONJ
ejpam-5933	7	19	sensitivity	sensitivity	NOUN
ejpam-5933	7	20	analysis	analysis	NOUN
ejpam-5933	7	21	is	be	AUX
ejpam-5933	7	22	conducted	conduct	VERB
ejpam-5933	7	23	to	to	PART
ejpam-5933	7	24	identify	identify	VERB
ejpam-5933	7	25	critical	critical	ADJ
ejpam-5933	7	26	transmission	transmission	NOUN
ejpam-5933	7	27	parameters	parameter	NOUN
ejpam-5933	7	28	.	.	PUNCT
ejpam-5933	8	1	a	a	DET
ejpam-5933	8	2	novel	novel	ADJ
ejpam-5933	8	3	newton	newton	PROPN
ejpam-5933	8	4	interpolation	interpolation	NOUN
ejpam-5933	8	5	-	-	PUNCT
ejpam-5933	8	6	based	base	VERB
ejpam-5933	8	7	numerical	numerical	ADJ
ejpam-5933	8	8	scheme	scheme	NOUN
ejpam-5933	8	9	is	be	AUX
ejpam-5933	8	10	developed	develop	VERB
ejpam-5933	8	11	and	and	CCONJ
ejpam-5933	8	12	compared	compare	VERB
ejpam-5933	8	13	with	with	ADP
ejpam-5933	8	14	finite	finite	ADJ
ejpam-5933	8	15	difference	difference	NOUN
ejpam-5933	8	16	method	method	NOUN
ejpam-5933	8	17	,	,	PUNCT
ejpam-5933	8	18	with	with	SCONJ
ejpam-5933	8	19	superior	superior	ADJ
ejpam-5933	8	20	convergence	convergence	NOUN
ejpam-5933	8	21	rates	rate	NOUN
ejpam-5933	8	22	being	be	AUX
ejpam-5933	8	23	demonstrated	demonstrate	VERB
ejpam-5933	8	24	.	.	PUNCT
ejpam-5933	9	1	how	how	SCONJ
ejpam-5933	9	2	non	non	ADJ
ejpam-5933	9	3	-	-	ADJ
ejpam-5933	9	4	integer	integer	ADJ
ejpam-5933	9	5	operators	operator	NOUN
ejpam-5933	9	6	enhance	enhance	VERB
ejpam-5933	9	7	lsd	lsd	NOUN
ejpam-5933	9	8	progression	progression	NOUN
ejpam-5933	9	9	modeling	modeling	NOUN
ejpam-5933	9	10	compared	compare	VERB
ejpam-5933	9	11	to	to	ADP
ejpam-5933	9	12	classical	classical	ADJ
ejpam-5933	9	13	approaches	approach	NOUN
ejpam-5933	9	14	is	be	AUX
ejpam-5933	9	15	revealed	reveal	VERB
ejpam-5933	9	16	by	by	ADP
ejpam-5933	9	17	fractional	fractional	ADJ
ejpam-5933	9	18	-	-	PUNCT
ejpam-5933	9	19	order	order	NOUN
ejpam-5933	9	20	simulations	simulation	NOUN
ejpam-5933	9	21	.	.	PUNCT
ejpam-5933	10	1	actionable	actionable	ADJ
ejpam-5933	10	2	insights	insight	NOUN
ejpam-5933	10	3	for	for	ADP
ejpam-5933	10	4	disease	disease	NOUN
ejpam-5933	10	5	control	control	NOUN
ejpam-5933	10	6	are	be	AUX
ejpam-5933	10	7	provided	provide	VERB
ejpam-5933	10	8	by	by	ADP
ejpam-5933	10	9	our	our	PRON
ejpam-5933	10	10	results	result	NOUN
ejpam-5933	10	11	while	while	SCONJ
ejpam-5933	10	12	the	the	DET
ejpam-5933	10	13	efficacy	efficacy	NOUN
ejpam-5933	10	14	of	of	ADP
ejpam-5933	10	15	caputo	caputo	PROPN
ejpam-5933	10	16	-	-	PUNCT
ejpam-5933	10	17	fabrizio	fabrizio	PROPN
ejpam-5933	10	18	derivatives	derivative	NOUN
ejpam-5933	10	19	in	in	ADP
ejpam-5933	10	20	epidemiological	epidemiological	ADJ
ejpam-5933	10	21	modeling	modeling	NOUN
ejpam-5933	10	22	is	be	AUX
ejpam-5933	10	23	demonstrated	demonstrate	VERB
ejpam-5933	10	24	which	which	PRON
ejpam-5933	10	25	will	will	AUX
ejpam-5933	10	26	help	help	VERB
ejpam-5933	10	27	in	in	ADP
ejpam-5933	10	28	framing	frame	VERB
ejpam-5933	10	29	policies	policy	NOUN
ejpam-5933	10	30	to	to	PART
ejpam-5933	10	31	have	have	VERB
ejpam-5933	10	32	a	a	DET
ejpam-5933	10	33	healthy	healthy	ADJ
ejpam-5933	10	34	society	society	NOUN
ejpam-5933	10	35	,	,	PUNCT
ejpam-5933	10	36	sdg-3	sdg-3	PUNCT
ejpam-5933	10	37	and	and	CCONJ
ejpam-5933	10	38	other	other	ADJ
ejpam-5933	10	39	related	related	ADJ
ejpam-5933	10	40	goals	goal	NOUN
ejpam-5933	10	41	of	of	ADP
ejpam-5933	10	42	un	un	PROPN
ejpam-5933	10	43	.	.	PROPN
ejpam-5933	10	44	2020	2020	NUM
ejpam-5933	10	45	mathematics	mathematic	NOUN
ejpam-5933	10	46	subject	subject	NOUN
ejpam-5933	10	47	classifications	classification	NOUN
ejpam-5933	10	48	:	:	PUNCT
ejpam-5933	10	49	65l60	65l60	NUM
ejpam-5933	10	50	,	,	PUNCT
ejpam-5933	10	51	41a10	41a10	NUM
ejpam-5933	10	52	,	,	PUNCT
ejpam-5933	10	53	35n70	35n70	NUM
ejpam-5933	10	54	,	,	PUNCT
ejpam-5933	10	55	65l20	65l20	NUM
ejpam-5933	10	56	key	key	ADJ
ejpam-5933	10	57	words	word	NOUN
ejpam-5933	10	58	and	and	CCONJ
ejpam-5933	10	59	phrases	phrase	NOUN
ejpam-5933	10	60	:	:	PUNCT
ejpam-5933	10	61	fixed	fix	VERB
ejpam-5933	10	62	point	point	NOUN
ejpam-5933	10	63	theory	theory	NOUN
ejpam-5933	10	64	,	,	PUNCT
ejpam-5933	10	65	caputo	caputo	PROPN
ejpam-5933	10	66	-	-	PUNCT
ejpam-5933	10	67	fabrizio	fabrizio	PROPN
ejpam-5933	10	68	,	,	PUNCT
ejpam-5933	10	69	ulam	ulam	NOUN
ejpam-5933	10	70	-	-	PUNCT
ejpam-5933	10	71	hyers	hyer	NOUN
ejpam-5933	10	72	stability	stability	NOUN
ejpam-5933	10	73	∗corresponding	∗corresponde	VERB
ejpam-5933	10	74	author	author	NOUN
ejpam-5933	10	75	.	.	PUNCT
ejpam-5933	11	1	doi	doi	NOUN
ejpam-5933	11	2	:	:	PUNCT
ejpam-5933	11	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5933	https://doi.org/10.29020/nybg.ejpam.v18i2.5933	NOUN
ejpam-5933	11	4	email	email	NOUN
ejpam-5933	11	5	addresses	address	NOUN
ejpam-5933	11	6	:	:	PUNCT
ejpam-5933	11	7	r.gopalan@psau.edu.sa	r.gopalan@psau.edu.sa	NOUN
ejpam-5933	11	8	(	(	PUNCT
ejpam-5933	11	9	r	r	NOUN
ejpam-5933	11	10	ramaswamy	ramaswamy	ADJ
ejpam-5933	11	11	)	)	PUNCT
ejpam-5933	11	12	,	,	PUNCT
ejpam-5933	11	13	mathsguna@yahoo.com	mathsguna@yahoo.com	X
ejpam-5933	11	14	(	(	PUNCT
ejpam-5933	11	15	g.mani	g.mani	PROPN
ejpam-5933	11	16	)	)	PUNCT
ejpam-5933	11	17	,	,	PUNCT
ejpam-5933	11	18	radhakrm@srmist.edu.in	radhakrm@srmist.edu.in	ADV
ejpam-5933	11	19	(	(	PUNCT
ejpam-5933	11	20	r.mohanraj	r.mohanraj	NOUN
ejpam-5933	11	21	)	)	PUNCT
ejpam-5933	11	22	,	,	PUNCT
ejpam-5933	11	23	ozgur.ege@ege.edu.tr	ozgur.ege@ege.edu.tr	X
ejpam-5933	11	24	(	(	PUNCT
ejpam-5933	11	25	o.ege	o.ege	NOUN
ejpam-5933	11	26	)	)	PUNCT
ejpam-5933	11	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5933	12	1	1	1	NUM
ejpam-5933	12	2	copyright	copyright	NOUN
ejpam-5933	12	3	:	:	PUNCT
ejpam-5933	12	4	©	©	PROPN
ejpam-5933	12	5	2025	2025	NUM
ejpam-5933	12	6	the	the	DET
ejpam-5933	12	7	author(s	author(s	NOUN
ejpam-5933	12	8	)	)	PUNCT
ejpam-5933	12	9	.	.	PUNCT
ejpam-5933	13	1	(	(	PUNCT
ejpam-5933	13	2	cc	cc	NOUN
ejpam-5933	13	3	by	by	ADP
ejpam-5933	13	4	-	-	PUNCT
ejpam-5933	13	5	nc	nc	PROPN
ejpam-5933	13	6	4.0	4.0	NUM
ejpam-5933	13	7	)	)	PUNCT
ejpam-5933	13	8	r.	r.	PROPN
ejpam-5933	13	9	ramaswamy	ramaswamy	PROPN
ejpam-5933	13	10	et	et	PROPN
ejpam-5933	13	11	al	al	PROPN
ejpam-5933	13	12	.	.	PUNCT
ejpam-5933	13	13	/	/	SYM
ejpam-5933	13	14	eur	eur	PROPN
ejpam-5933	13	15	.	.	PUNCT
ejpam-5933	14	1	j.	j.	PROPN
ejpam-5933	14	2	pure	pure	PROPN
ejpam-5933	14	3	appl	appl	PROPN
ejpam-5933	14	4	.	.	PROPN
ejpam-5933	14	5	math	math	PROPN
ejpam-5933	14	6	,	,	PUNCT
ejpam-5933	14	7	18	18	NUM
ejpam-5933	14	8	(	(	PUNCT
ejpam-5933	14	9	2	2	NUM
ejpam-5933	14	10	)	)	PUNCT
ejpam-5933	14	11	(	(	PUNCT
ejpam-5933	14	12	2025	2025	NUM
ejpam-5933	14	13	)	)	PUNCT
ejpam-5933	14	14	,	,	PUNCT
ejpam-5933	14	15	5933	5933	NUM
ejpam-5933	14	16	2	2	NUM
ejpam-5933	14	17	of	of	ADP
ejpam-5933	14	18	25	25	NUM
ejpam-5933	14	19	1	1	NUM
ejpam-5933	14	20	.	.	PUNCT
ejpam-5933	15	1	introduction	introduction	NOUN
ejpam-5933	15	2	the	the	DET
ejpam-5933	15	3	united	united	PROPN
ejpam-5933	15	4	nations	nations	PROPN
ejpam-5933	16	1	[	[	X
ejpam-5933	16	2	1	1	X
ejpam-5933	16	3	]	]	PUNCT
ejpam-5933	16	4	has	have	AUX
ejpam-5933	16	5	set	set	VERB
ejpam-5933	16	6	seventeen	seventeen	NUM
ejpam-5933	16	7	goals	goal	NOUN
ejpam-5933	16	8	for	for	ADP
ejpam-5933	16	9	sustaintable	sustaintable	ADJ
ejpam-5933	16	10	development	development	NOUN
ejpam-5933	16	11	(	(	PUNCT
ejpam-5933	16	12	sdg	sdg	NOUN
ejpam-5933	16	13	)	)	PUNCT
ejpam-5933	16	14	and	and	CCONJ
ejpam-5933	16	15	sdg-3	sdg-3	NUM
ejpam-5933	16	16	is	be	AUX
ejpam-5933	16	17	related	relate	VERB
ejpam-5933	16	18	to	to	ADP
ejpam-5933	16	19	health	health	NOUN
ejpam-5933	16	20	while	while	SCONJ
ejpam-5933	16	21	sdg-15	sdg-15	NUM
ejpam-5933	16	22	is	be	AUX
ejpam-5933	16	23	focussed	focusse	VERB
ejpam-5933	16	24	on	on	ADP
ejpam-5933	16	25	life	life	NOUN
ejpam-5933	16	26	on	on	ADP
ejpam-5933	16	27	land	land	NOUN
ejpam-5933	16	28	.	.	PUNCT
ejpam-5933	17	1	living	live	VERB
ejpam-5933	17	2	beings	being	NOUN
ejpam-5933	17	3	on	on	ADP
ejpam-5933	17	4	earth	earth	NOUN
ejpam-5933	17	5	are	be	AUX
ejpam-5933	17	6	prone	prone	ADJ
ejpam-5933	17	7	to	to	ADP
ejpam-5933	17	8	infections	infection	NOUN
ejpam-5933	17	9	and	and	CCONJ
ejpam-5933	17	10	one	one	NUM
ejpam-5933	17	11	such	such	ADJ
ejpam-5933	17	12	disease	disease	NOUN
ejpam-5933	17	13	is	be	AUX
ejpam-5933	17	14	lumpy	lumpy	ADJ
ejpam-5933	17	15	skin	skin	NOUN
ejpam-5933	17	16	disease	disease	NOUN
ejpam-5933	17	17	(	(	PUNCT
ejpam-5933	17	18	lsd	lsd	NOUN
ejpam-5933	17	19	)	)	PUNCT
ejpam-5933	17	20	,	,	PUNCT
ejpam-5933	17	21	that	that	PRON
ejpam-5933	17	22	exists	exist	VERB
ejpam-5933	17	23	as	as	ADP
ejpam-5933	17	24	an	an	DET
ejpam-5933	17	25	infection	infection	NOUN
ejpam-5933	17	26	caused	cause	VERB
ejpam-5933	17	27	by	by	ADP
ejpam-5933	17	28	the	the	DET
ejpam-5933	17	29	lumpy	lumpy	ADJ
ejpam-5933	17	30	skin	skin	NOUN
ejpam-5933	17	31	disease	disease	NOUN
ejpam-5933	17	32	virus	virus	NOUN
ejpam-5933	17	33	(	(	PUNCT
ejpam-5933	17	34	lsdv	lsdv	PROPN
ejpam-5933	17	35	)	)	PUNCT
ejpam-5933	17	36	which	which	PRON
ejpam-5933	17	37	possesses	possess	VERB
ejpam-5933	17	38	150	150	NUM
ejpam-5933	17	39	kb	kb	NOUN
ejpam-5933	17	40	of	of	ADP
ejpam-5933	17	41	double	double	ADJ
ejpam-5933	17	42	-	-	PUNCT
ejpam-5933	17	43	stranded	strand	VERB
ejpam-5933	17	44	dna	dna	NOUN
ejpam-5933	17	45	.	.	PUNCT
ejpam-5933	18	1	the	the	DET
ejpam-5933	18	2	virus	virus	NOUN
ejpam-5933	18	3	belongs	belong	VERB
ejpam-5933	18	4	to	to	ADP
ejpam-5933	18	5	capripoxvirus	capripoxvirus	NOUN
ejpam-5933	18	6	genera	genera	NOUN
ejpam-5933	18	7	within	within	ADP
ejpam-5933	18	8	the	the	DET
ejpam-5933	18	9	chordopoxviridae	chordopoxviridae	NOUN
ejpam-5933	18	10	subfamily	subfamily	ADV
ejpam-5933	18	11	of	of	ADP
ejpam-5933	18	12	poxviridae	poxviridae	PROPN
ejpam-5933	18	13	family	family	NOUN
ejpam-5933	18	14	[	[	X
ejpam-5933	18	15	2	2	NUM
ejpam-5933	18	16	,	,	PUNCT
ejpam-5933	18	17	3	3	NUM
ejpam-5933	18	18	]	]	PUNCT
ejpam-5933	18	19	.	.	PUNCT
ejpam-5933	19	1	the	the	DET
ejpam-5933	19	2	genus	genus	ADJ
ejpam-5933	19	3	capripoxvirus	capripoxvirus	NOUN
ejpam-5933	19	4	comprises	comprise	VERB
ejpam-5933	19	5	three	three	NUM
ejpam-5933	19	6	confirmed	confirm	VERB
ejpam-5933	19	7	viral	viral	ADJ
ejpam-5933	19	8	members	member	NOUN
ejpam-5933	19	9	:	:	PUNCT
ejpam-5933	19	10	goatpox	goatpox	NOUN
ejpam-5933	19	11	virus	virus	NOUN
ejpam-5933	19	12	(	(	PUNCT
ejpam-5933	19	13	gtpv	gtpv	PROPN
ejpam-5933	19	14	)	)	PUNCT
ejpam-5933	19	15	and	and	CCONJ
ejpam-5933	19	16	sheeppox	sheeppox	NOUN
ejpam-5933	19	17	virus	virus	NOUN
ejpam-5933	19	18	(	(	PUNCT
ejpam-5933	19	19	sppv	sppv	ADJ
ejpam-5933	19	20	)	)	PUNCT
ejpam-5933	19	21	alongside	alongside	ADP
ejpam-5933	19	22	lumpy	lumpy	ADJ
ejpam-5933	19	23	skin	skin	NOUN
ejpam-5933	19	24	disease	disease	NOUN
ejpam-5933	19	25	virus	virus	NOUN
ejpam-5933	19	26	(	(	PUNCT
ejpam-5933	19	27	lsdv	lsdv	PROPN
ejpam-5933	19	28	)	)	PUNCT
ejpam-5933	19	29	.	.	PUNCT
ejpam-5933	20	1	electron	electron	PROPN
ejpam-5933	20	2	microscope	microscope	NOUN
ejpam-5933	20	3	images	image	NOUN
ejpam-5933	20	4	show	show	AUX
ejpam-5933	20	5	lsdv	lsdv	NOUN
ejpam-5933	20	6	exhibits	exhibit	VERB
ejpam-5933	20	7	morphological	morphological	ADJ
ejpam-5933	20	8	patterns	pattern	NOUN
ejpam-5933	20	9	shared	share	VERB
ejpam-5933	20	10	by	by	ADP
ejpam-5933	20	11	other	other	ADJ
ejpam-5933	20	12	poxviridae	poxviridae	PROPN
ejpam-5933	20	13	viruses	virus	NOUN
ejpam-5933	20	14	similar	similar	ADJ
ejpam-5933	20	15	to	to	ADP
ejpam-5933	20	16	the	the	DET
ejpam-5933	20	17	vaccinia	vaccinia	NOUN
ejpam-5933	20	18	virus	virus	NOUN
ejpam-5933	20	19	[	[	X
ejpam-5933	20	20	4	4	NUM
ejpam-5933	20	21	]	]	PUNCT
ejpam-5933	20	22	.	.	PUNCT
ejpam-5933	21	1	the	the	DET
ejpam-5933	21	2	virus	virus	NOUN
ejpam-5933	21	3	has	have	AUX
ejpam-5933	21	4	limited	limit	VERB
ejpam-5933	21	5	host	host	NOUN
ejpam-5933	21	6	range	range	NOUN
ejpam-5933	21	7	due	due	ADP
ejpam-5933	21	8	to	to	ADP
ejpam-5933	21	9	its	its	PRON
ejpam-5933	21	10	restriction	restriction	NOUN
ejpam-5933	21	11	of	of	ADP
ejpam-5933	21	12	transmission	transmission	NOUN
ejpam-5933	21	13	to	to	ADP
ejpam-5933	21	14	two	two	NUM
ejpam-5933	21	15	main	main	ADJ
ejpam-5933	21	16	hosts	host	NOUN
ejpam-5933	21	17	including	include	VERB
ejpam-5933	21	18	cattle	cattle	NOUN
ejpam-5933	21	19	(	(	PUNCT
ejpam-5933	21	20	bos	bo	NOUN
ejpam-5933	21	21	indicus	indicus	NOUN
ejpam-5933	21	22	or	or	CCONJ
ejpam-5933	21	23	bos	bos	NOUN
ejpam-5933	21	24	taurus	taurus	PROPN
ejpam-5933	21	25	)	)	PUNCT
ejpam-5933	21	26	and	and	CCONJ
ejpam-5933	21	27	domestic	domestic	ADJ
ejpam-5933	21	28	water	water	NOUN
ejpam-5933	21	29	buffaloes	buffalo	NOUN
ejpam-5933	21	30	(	(	PUNCT
ejpam-5933	21	31	bubalus	bubalus	ADV
ejpam-5933	21	32	bubalis	bubalis	PROPN
ejpam-5933	21	33	)	)	PUNCT
ejpam-5933	22	1	[	[	X
ejpam-5933	22	2	5–7	5–7	X
ejpam-5933	22	3	]	]	PUNCT
ejpam-5933	22	4	.	.	PUNCT
ejpam-5933	23	1	the	the	DET
ejpam-5933	23	2	range	range	NOUN
ejpam-5933	23	3	management	management	NOUN
ejpam-5933	23	4	pathogens	pathogen	NOUN
ejpam-5933	23	5	research	research	NOUN
ejpam-5933	23	6	unit	unit	NOUN
ejpam-5933	23	7	in	in	ADP
ejpam-5933	23	8	georgia	georgia	PROPN
ejpam-5933	23	9	has	have	AUX
ejpam-5933	23	10	studied	study	VERB
ejpam-5933	23	11	how	how	SCONJ
ejpam-5933	23	12	lsdv	lsdv	NOUN
ejpam-5933	23	13	affects	affect	VERB
ejpam-5933	23	14	wild	wild	ADJ
ejpam-5933	23	15	mammals	mammal	NOUN
ejpam-5933	23	16	including	include	VERB
ejpam-5933	23	17	giraffes	giraffe	NOUN
ejpam-5933	23	18	and	and	CCONJ
ejpam-5933	23	19	camels	camel	NOUN
ejpam-5933	23	20	as	as	ADV
ejpam-5933	23	21	well	well	ADV
ejpam-5933	23	22	as	as	ADP
ejpam-5933	23	23	wildebeests	wildebeest	NOUN
ejpam-5933	23	24	[	[	X
ejpam-5933	23	25	8–10	8–10	NOUN
ejpam-5933	23	26	]	]	PUNCT
ejpam-5933	23	27	.	.	PUNCT
ejpam-5933	24	1	active	active	ADJ
ejpam-5933	24	2	transmission	transmission	NOUN
ejpam-5933	24	3	of	of	ADP
ejpam-5933	24	4	disease	disease	NOUN
ejpam-5933	24	5	occurs	occur	VERB
ejpam-5933	24	6	when	when	SCONJ
ejpam-5933	24	7	animals	animal	NOUN
ejpam-5933	24	8	transmit	transmit	VERB
ejpam-5933	24	9	the	the	DET
ejpam-5933	24	10	virus	virus	NOUN
ejpam-5933	24	11	through	through	ADP
ejpam-5933	24	12	skin	skin	NOUN
ejpam-5933	24	13	contact	contact	NOUN
ejpam-5933	24	14	with	with	ADP
ejpam-5933	24	15	lesions	lesion	NOUN
ejpam-5933	24	16	and	and	CCONJ
ejpam-5933	24	17	milk	milk	NOUN
ejpam-5933	24	18	and	and	CCONJ
ejpam-5933	24	19	through	through	ADP
ejpam-5933	24	20	the	the	DET
ejpam-5933	24	21	bloodfeeding	bloodfeeding	NOUN
ejpam-5933	24	22	activities	activity	NOUN
ejpam-5933	24	23	of	of	ADP
ejpam-5933	24	24	biting	bite	VERB
ejpam-5933	24	25	flies	fly	NOUN
ejpam-5933	24	26	and	and	CCONJ
ejpam-5933	24	27	mosquitoes	mosquito	NOUN
ejpam-5933	24	28	and	and	CCONJ
ejpam-5933	24	29	ticks	tick	NOUN
ejpam-5933	24	30	[	[	X
ejpam-5933	24	31	11–14	11–14	NUM
ejpam-5933	24	32	]	]	PUNCT
ejpam-5933	24	33	.	.	PUNCT
ejpam-5933	25	1	the	the	DET
ejpam-5933	25	2	disease	disease	NOUN
ejpam-5933	25	3	transmission	transmission	NOUN
ejpam-5933	25	4	rate	rate	NOUN
ejpam-5933	25	5	is	be	AUX
ejpam-5933	25	6	greater	great	ADJ
ejpam-5933	25	7	for	for	ADP
ejpam-5933	25	8	these	these	DET
ejpam-5933	25	9	seasons	season	NOUN
ejpam-5933	25	10	because	because	SCONJ
ejpam-5933	25	11	insect	insect	NOUN
ejpam-5933	25	12	vectors	vector	NOUN
ejpam-5933	25	13	are	be	AUX
ejpam-5933	25	14	both	both	CCONJ
ejpam-5933	25	15	more	more	ADV
ejpam-5933	25	16	numerous	numerous	ADJ
ejpam-5933	25	17	and	and	CCONJ
ejpam-5933	25	18	active	active	ADJ
ejpam-5933	25	19	[	[	X
ejpam-5933	25	20	15	15	NUM
ejpam-5933	25	21	]	]	PUNCT
ejpam-5933	25	22	.	.	PUNCT
ejpam-5933	26	1	skilled	skilled	ADJ
ejpam-5933	26	2	shedding	shedding	NOUN
ejpam-5933	26	3	by	by	ADP
ejpam-5933	26	4	the	the	DET
ejpam-5933	26	5	virus	virus	NOUN
ejpam-5933	26	6	happens	happen	VERB
ejpam-5933	26	7	through	through	ADP
ejpam-5933	26	8	nasal	nasal	ADJ
ejpam-5933	26	9	discharge	discharge	NOUN
ejpam-5933	26	10	along	along	ADP
ejpam-5933	26	11	with	with	ADP
ejpam-5933	26	12	skin	skin	NOUN
ejpam-5933	26	13	lesions	lesion	NOUN
ejpam-5933	26	14	and	and	CCONJ
ejpam-5933	26	15	saliva	saliva	NOUN
ejpam-5933	26	16	as	as	ADV
ejpam-5933	26	17	well	well	ADV
ejpam-5933	26	18	as	as	ADP
ejpam-5933	26	19	lachrymal	lachrymal	ADJ
ejpam-5933	26	20	secretions	secretion	NOUN
ejpam-5933	26	21	to	to	PART
ejpam-5933	26	22	transmit	transmit	VERB
ejpam-5933	26	23	disease	disease	NOUN
ejpam-5933	26	24	from	from	ADP
ejpam-5933	26	25	ill	ill	ADJ
ejpam-5933	26	26	to	to	PART
ejpam-5933	26	27	well	well	ADJ
ejpam-5933	26	28	animals	animal	NOUN
ejpam-5933	26	29	[	[	X
ejpam-5933	26	30	12	12	NUM
ejpam-5933	26	31	,	,	PUNCT
ejpam-5933	26	32	16	16	NUM
ejpam-5933	26	33	]	]	PUNCT
ejpam-5933	26	34	.	.	PUNCT
ejpam-5933	27	1	an	an	DET
ejpam-5933	27	2	outbreak	outbreak	NOUN
ejpam-5933	27	3	of	of	ADP
ejpam-5933	27	4	lsd	lsd	NOUN
ejpam-5933	27	5	originated	originate	VERB
ejpam-5933	27	6	in	in	ADP
ejpam-5933	27	7	india	india	PROPN
ejpam-5933	27	8	during	during	ADP
ejpam-5933	27	9	2019	2019	NUM
ejpam-5933	27	10	followed	follow	VERB
ejpam-5933	27	11	by	by	ADP
ejpam-5933	27	12	multiple	multiple	ADJ
ejpam-5933	27	13	serious	serious	ADJ
ejpam-5933	27	14	occurrences	occurrence	NOUN
ejpam-5933	27	15	.	.	PUNCT
ejpam-5933	28	1	the	the	DET
ejpam-5933	28	2	newest	new	ADJ
ejpam-5933	28	3	spell	spell	NOUN
ejpam-5933	28	4	of	of	ADP
ejpam-5933	28	5	lsd	lsd	NOUN
ejpam-5933	28	6	outbreak	outbreak	NOUN
ejpam-5933	28	7	started	start	VERB
ejpam-5933	28	8	during	during	ADP
ejpam-5933	28	9	may	may	PROPN
ejpam-5933	28	10	2022	2022	NUM
ejpam-5933	28	11	and	and	CCONJ
ejpam-5933	28	12	extensively	extensively	ADV
ejpam-5933	28	13	damaged	damage	VERB
ejpam-5933	28	14	15	15	NUM
ejpam-5933	28	15	indian	indian	ADJ
ejpam-5933	28	16	states	state	NOUN
ejpam-5933	28	17	that	that	PRON
ejpam-5933	28	18	led	lead	VERB
ejpam-5933	28	19	to	to	ADP
ejpam-5933	28	20	about	about	ADP
ejpam-5933	28	21	100,000	100,000	NUM
ejpam-5933	28	22	cattle	cattle	NOUN
ejpam-5933	28	23	fatalities	fatality	NOUN
ejpam-5933	28	24	and	and	CCONJ
ejpam-5933	28	25	considerable	considerable	ADJ
ejpam-5933	28	26	economic	economic	ADJ
ejpam-5933	28	27	loss	loss	NOUN
ejpam-5933	28	28	[	[	X
ejpam-5933	28	29	17	17	NUM
ejpam-5933	28	30	]	]	PUNCT
ejpam-5933	28	31	.	.	PUNCT
ejpam-5933	29	1	within	within	SCONJ
ejpam-5933	29	2	india	india	PROPN
ejpam-5933	29	3	’s	’s	PART
ejpam-5933	29	4	highly	highly	ADV
ejpam-5933	29	5	important	important	ADJ
ejpam-5933	29	6	livestock	livestock	NOUN
ejpam-5933	29	7	production	production	NOUN
ejpam-5933	29	8	industry	industry	NOUN
ejpam-5933	29	9	lsd	lsd	NOUN
ejpam-5933	29	10	leads	lead	VERB
ejpam-5933	29	11	to	to	ADP
ejpam-5933	29	12	animal	animal	NOUN
ejpam-5933	29	13	mortality	mortality	NOUN
ejpam-5933	29	14	along	along	ADP
ejpam-5933	29	15	with	with	ADP
ejpam-5933	29	16	milk	milk	NOUN
ejpam-5933	29	17	yield	yield	NOUN
ejpam-5933	29	18	declines	decline	NOUN
ejpam-5933	29	19	while	while	SCONJ
ejpam-5933	29	20	creating	create	VERB
ejpam-5933	29	21	additional	additional	ADJ
ejpam-5933	29	22	economic	economic	ADJ
ejpam-5933	29	23	impacts	impact	NOUN
ejpam-5933	29	24	through	through	ADP
ejpam-5933	29	25	movement	movement	NOUN
ejpam-5933	29	26	limitations	limitation	NOUN
ejpam-5933	29	27	[	[	X
ejpam-5933	29	28	17	17	NUM
ejpam-5933	29	29	]	]	PUNCT
ejpam-5933	29	30	.	.	PUNCT
ejpam-5933	30	1	under	under	ADP
ejpam-5933	30	2	india	india	PROPN
ejpam-5933	30	3	’s	’s	PART
ejpam-5933	30	4	308	308	NUM
ejpam-5933	30	5	million	million	NUM
ejpam-5933	30	6	cattle	cattle	NOUN
ejpam-5933	30	7	population	population	NOUN
ejpam-5933	30	8	the	the	DET
ejpam-5933	30	9	prevention	prevention	NOUN
ejpam-5933	30	10	and	and	CCONJ
ejpam-5933	30	11	control	control	NOUN
ejpam-5933	30	12	of	of	ADP
ejpam-5933	30	13	infectious	infectious	ADJ
ejpam-5933	30	14	diseases	disease	NOUN
ejpam-5933	30	15	including	include	VERB
ejpam-5933	30	16	lsd	lsd	NOUN
ejpam-5933	30	17	stands	stand	VERB
ejpam-5933	30	18	as	as	ADP
ejpam-5933	30	19	a	a	DET
ejpam-5933	30	20	vital	vital	ADJ
ejpam-5933	30	21	necessity	necessity	NOUN
ejpam-5933	30	22	[	[	X
ejpam-5933	30	23	18	18	NUM
ejpam-5933	30	24	]	]	PUNCT
ejpam-5933	30	25	.	.	PUNCT
ejpam-5933	31	1	comparable	comparable	ADJ
ejpam-5933	31	2	changes	change	NOUN
ejpam-5933	31	3	occur	occur	VERB
ejpam-5933	31	4	within	within	ADP
ejpam-5933	31	5	diseased	diseased	ADJ
ejpam-5933	31	6	animals	animal	NOUN
ejpam-5933	31	7	because	because	SCONJ
ejpam-5933	31	8	of	of	ADP
ejpam-5933	31	9	lsd	lsd	NOUN
ejpam-5933	31	10	resulting	result	VERB
ejpam-5933	31	11	in	in	ADP
ejpam-5933	31	12	mastitis	mastitis	NOUN
ejpam-5933	31	13	along	along	ADP
ejpam-5933	31	14	with	with	ADP
ejpam-5933	31	15	necrotic	necrotic	ADJ
ejpam-5933	31	16	hepatitis	hepatitis	NOUN
ejpam-5933	31	17	and	and	CCONJ
ejpam-5933	31	18	lymphadenitis	lymphadenitis	PROPN
ejpam-5933	31	19	and	and	CCONJ
ejpam-5933	31	20	orchitis	orchitis	NOUN
ejpam-5933	31	21	and	and	CCONJ
ejpam-5933	31	22	myocardial	myocardial	ADJ
ejpam-5933	31	23	damage	damage	NOUN
ejpam-5933	31	24	[	[	X
ejpam-5933	31	25	19	19	NUM
ejpam-5933	31	26	]	]	PUNCT
ejpam-5933	31	27	.	.	PUNCT
ejpam-5933	32	1	who	who	PRON
ejpam-5933	32	2	has	have	AUX
ejpam-5933	32	3	established	establish	VERB
ejpam-5933	32	4	lsd	lsd	NOUN
ejpam-5933	32	5	as	as	ADP
ejpam-5933	32	6	an	an	DET
ejpam-5933	32	7	eligible	eligible	ADJ
ejpam-5933	32	8	disease	disease	NOUN
ejpam-5933	32	9	for	for	ADP
ejpam-5933	32	10	notification	notification	NOUN
ejpam-5933	32	11	according	accord	VERB
ejpam-5933	32	12	to[20	to[20	PROPN
ejpam-5933	32	13	]	]	PUNCT
ejpam-5933	32	14	.	.	PUNCT
ejpam-5933	33	1	surveillance	surveillance	NOUN
ejpam-5933	33	2	confirmed	confirm	VERB
ejpam-5933	33	3	the	the	DET
ejpam-5933	33	4	first	first	ADJ
ejpam-5933	33	5	documented	document	VERB
ejpam-5933	33	6	case	case	NOUN
ejpam-5933	33	7	of	of	ADP
ejpam-5933	33	8	lsd	lsd	NOUN
ejpam-5933	33	9	in	in	ADP
ejpam-5933	33	10	zambia	zambia	PROPN
ejpam-5933	33	11	in	in	ADP
ejpam-5933	33	12	1931	1931	NUM
ejpam-5933	33	13	but	but	CCONJ
ejpam-5933	33	14	the	the	DET
ejpam-5933	33	15	disease	disease	NOUN
ejpam-5933	33	16	stayed	stay	VERB
ejpam-5933	33	17	within	within	ADP
ejpam-5933	33	18	sub	sub	ADJ
ejpam-5933	33	19	-	-	ADJ
ejpam-5933	33	20	saharan	saharan	ADJ
ejpam-5933	33	21	africa	africa	PROPN
ejpam-5933	33	22	until	until	ADP
ejpam-5933	33	23	1989	1989	NUM
ejpam-5933	33	24	when	when	SCONJ
ejpam-5933	33	25	it	it	PRON
ejpam-5933	33	26	expanded	expand	VERB
ejpam-5933	33	27	into	into	ADP
ejpam-5933	33	28	the	the	DET
ejpam-5933	33	29	middle	middle	PROPN
ejpam-5933	33	30	east	east	PROPN
ejpam-5933	33	31	and	and	CCONJ
ejpam-5933	33	32	asia	asia	PROPN
ejpam-5933	34	1	[	[	X
ejpam-5933	34	2	21–23	21–23	NUM
ejpam-5933	34	3	]	]	PUNCT
ejpam-5933	34	4	.	.	PUNCT
ejpam-5933	35	1	initial	initial	ADJ
ejpam-5933	35	2	identification	identification	NOUN
ejpam-5933	35	3	of	of	ADP
ejpam-5933	35	4	lsdv	lsdv	NOUN
ejpam-5933	35	5	occurred	occur	VERB
ejpam-5933	35	6	in	in	ADP
ejpam-5933	35	7	russia	russia	PROPN
ejpam-5933	35	8	when	when	SCONJ
ejpam-5933	35	9	the	the	DET
ejpam-5933	35	10	disease	disease	NOUN
ejpam-5933	35	11	appeared	appear	VERB
ejpam-5933	35	12	in	in	ADP
ejpam-5933	35	13	southeast	southeast	PROPN
ejpam-5933	35	14	europe	europe	PROPN
ejpam-5933	35	15	in	in	ADP
ejpam-5933	35	16	2016	2016	NUM
ejpam-5933	35	17	followed	follow	VERB
ejpam-5933	35	18	by	by	ADP
ejpam-5933	35	19	its	its	PRON
ejpam-5933	35	20	discovery	discovery	NOUN
ejpam-5933	35	21	in	in	ADP
ejpam-5933	35	22	india	india	PROPN
ejpam-5933	35	23	and	and	CCONJ
ejpam-5933	35	24	several	several	ADJ
ejpam-5933	35	25	neighboring	neighboring	ADJ
ejpam-5933	35	26	asian	asian	ADJ
ejpam-5933	35	27	countries	country	NOUN
ejpam-5933	35	28	such	such	ADJ
ejpam-5933	35	29	as	as	ADP
ejpam-5933	35	30	china	china	PROPN
ejpam-5933	35	31	and	and	CCONJ
ejpam-5933	35	32	nepal	nepal	PROPN
ejpam-5933	35	33	thailand	thailand	PROPN
ejpam-5933	35	34	and	and	CCONJ
ejpam-5933	35	35	bangladesh	bangladesh	PROPN
ejpam-5933	35	36	plus	plus	CCONJ
ejpam-5933	35	37	bhutan	bhutan	NOUN
ejpam-5933	35	38	in	in	ADP
ejpam-5933	35	39	november	november	PROPN
ejpam-5933	35	40	2019	2019	NUM
ejpam-5933	36	1	[	[	X
ejpam-5933	36	2	24	24	NUM
ejpam-5933	36	3	,	,	PUNCT
ejpam-5933	36	4	25	25	NUM
ejpam-5933	36	5	]	]	PUNCT
ejpam-5933	36	6	.	.	PUNCT
ejpam-5933	37	1	from	from	ADP
ejpam-5933	37	2	2019	2019	NUM
ejpam-5933	37	3	onward	onward	ADJ
ejpam-5933	37	4	lsd	lsd	NOUN
ejpam-5933	37	5	spread	spread	VERB
ejpam-5933	37	6	rapidly	rapidly	ADV
ejpam-5933	37	7	to	to	PART
ejpam-5933	37	8	impact	impact	VERB
ejpam-5933	37	9	more	more	ADJ
ejpam-5933	37	10	than	than	ADP
ejpam-5933	37	11	two	two	NUM
ejpam-5933	37	12	million	million	NUM
ejpam-5933	37	13	cattle	cattle	NOUN
ejpam-5933	37	14	during	during	ADP
ejpam-5933	37	15	2022	2022	NUM
ejpam-5933	37	16	.	.	PUNCT
ejpam-5933	38	1	the	the	DET
ejpam-5933	38	2	symptoms	symptom	NOUN
ejpam-5933	38	3	typically	typically	ADV
ejpam-5933	38	4	occur	occur	VERB
ejpam-5933	38	5	within	within	ADP
ejpam-5933	38	6	1	1	NUM
ejpam-5933	38	7	-	-	SYM
ejpam-5933	38	8	4	4	NUM
ejpam-5933	38	9	weeks	week	NOUN
ejpam-5933	38	10	after	after	SCONJ
ejpam-5933	38	11	a	a	DET
ejpam-5933	38	12	patient	patient	NOUN
ejpam-5933	38	13	contracts	contract	VERB
ejpam-5933	38	14	the	the	DET
ejpam-5933	38	15	infection	infection	NOUN
ejpam-5933	38	16	and	and	CCONJ
ejpam-5933	38	17	high	high	ADJ
ejpam-5933	38	18	fever	fever	NOUN
ejpam-5933	38	19	joins	join	VERB
ejpam-5933	38	20	nasal	nasal	NOUN
ejpam-5933	38	21	or	or	CCONJ
ejpam-5933	38	22	eye	eye	NOUN
ejpam-5933	38	23	drainage	drainage	NOUN
ejpam-5933	38	24	along	along	ADP
ejpam-5933	38	25	with	with	ADP
ejpam-5933	38	26	appetite	appetite	ADJ
ejpam-5933	38	27	loss	loss	NOUN
ejpam-5933	38	28	and	and	CCONJ
ejpam-5933	38	29	nodular	nodular	ADJ
ejpam-5933	38	30	skin	skin	NOUN
ejpam-5933	38	31	breakouts	breakout	NOUN
ejpam-5933	39	1	[	[	X
ejpam-5933	39	2	26	26	NUM
ejpam-5933	39	3	]	]	PUNCT
ejpam-5933	39	4	.	.	PUNCT
ejpam-5933	40	1	public	public	ADJ
ejpam-5933	40	2	deaths	death	NOUN
ejpam-5933	40	3	from	from	ADP
ejpam-5933	40	4	lsd	lsd	NOUN
ejpam-5933	40	5	have	have	AUX
ejpam-5933	40	6	been	be	AUX
ejpam-5933	40	7	reported	report	VERB
ejpam-5933	40	8	between	between	ADP
ejpam-5933	40	9	5	5	NUM
ejpam-5933	40	10	-	-	SYM
ejpam-5933	40	11	45	45	NUM
ejpam-5933	40	12	%	%	NOUN
ejpam-5933	40	13	during	during	ADP
ejpam-5933	40	14	outbreaks	outbreak	NOUN
ejpam-5933	40	15	in	in	ADP
ejpam-5933	40	16	rajasthan	rajasthan	PROPN
ejpam-5933	40	17	,	,	PUNCT
ejpam-5933	40	18	gujarat	gujarat	PROPN
ejpam-5933	40	19	,	,	PUNCT
ejpam-5933	40	20	uttar	uttar	PROPN
ejpam-5933	40	21	pradesh	pradesh	PROPN
ejpam-5933	40	22	,	,	PUNCT
ejpam-5933	40	23	and	and	CCONJ
ejpam-5933	40	24	punjab	punjab	PROPN
ejpam-5933	40	25	,	,	PUNCT
ejpam-5933	40	26	haryana	haryana	PROPN
ejpam-5933	40	27	,	,	PUNCT
ejpam-5933	40	28	karnataka	karnataka	PROPN
ejpam-5933	40	29	along	along	ADP
ejpam-5933	40	30	with	with	ADP
ejpam-5933	40	31	west	west	PROPN
ejpam-5933	40	32	bengal	bengal	PROPN
ejpam-5933	40	33	and	and	CCONJ
ejpam-5933	40	34	maharashtra	maharashtra	PROPN
ejpam-5933	41	1	[	[	X
ejpam-5933	41	2	27–29	27–29	NUM
ejpam-5933	41	3	]	]	PUNCT
ejpam-5933	41	4	.	.	PUNCT
ejpam-5933	42	1	r.	r.	PROPN
ejpam-5933	42	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	42	3	et	et	PROPN
ejpam-5933	42	4	al	al	PROPN
ejpam-5933	42	5	.	.	PUNCT
ejpam-5933	42	6	/	/	SYM
ejpam-5933	42	7	eur	eur	PROPN
ejpam-5933	42	8	.	.	PUNCT
ejpam-5933	43	1	j.	j.	PROPN
ejpam-5933	43	2	pure	pure	PROPN
ejpam-5933	43	3	appl	appl	PROPN
ejpam-5933	43	4	.	.	PROPN
ejpam-5933	43	5	math	math	PROPN
ejpam-5933	43	6	,	,	PUNCT
ejpam-5933	43	7	18	18	NUM
ejpam-5933	43	8	(	(	PUNCT
ejpam-5933	43	9	2	2	NUM
ejpam-5933	43	10	)	)	PUNCT
ejpam-5933	43	11	(	(	PUNCT
ejpam-5933	43	12	2025	2025	NUM
ejpam-5933	43	13	)	)	PUNCT
ejpam-5933	43	14	,	,	PUNCT
ejpam-5933	43	15	5933	5933	NUM
ejpam-5933	43	16	3	3	NUM
ejpam-5933	43	17	of	of	ADP
ejpam-5933	43	18	25	25	NUM
ejpam-5933	43	19	indian	indian	ADJ
ejpam-5933	43	20	authorities	authority	NOUN
ejpam-5933	43	21	have	have	AUX
ejpam-5933	43	22	built	build	VERB
ejpam-5933	43	23	a	a	DET
ejpam-5933	43	24	series	series	NOUN
ejpam-5933	43	25	of	of	ADP
ejpam-5933	43	26	initiatives	initiative	NOUN
ejpam-5933	43	27	aimed	aim	VERB
ejpam-5933	43	28	at	at	ADP
ejpam-5933	43	29	stopping	stop	VERB
ejpam-5933	43	30	animal	animal	NOUN
ejpam-5933	43	31	disease	disease	NOUN
ejpam-5933	43	32	spread	spread	VERB
ejpam-5933	43	33	which	which	PRON
ejpam-5933	43	34	include	include	VERB
ejpam-5933	43	35	massive	massive	ADJ
ejpam-5933	43	36	vaccination	vaccination	NOUN
ejpam-5933	43	37	programs	program	NOUN
ejpam-5933	43	38	combined	combine	VERB
ejpam-5933	43	39	with	with	ADP
ejpam-5933	43	40	animal	animal	NOUN
ejpam-5933	43	41	sequestration	sequestration	NOUN
ejpam-5933	43	42	areas	area	NOUN
ejpam-5933	43	43	and	and	CCONJ
ejpam-5933	43	44	restrictions	restriction	NOUN
ejpam-5933	43	45	on	on	ADP
ejpam-5933	43	46	animal	animal	NOUN
ejpam-5933	43	47	movement	movement	NOUN
ejpam-5933	43	48	.	.	PUNCT
ejpam-5933	44	1	early	early	ADJ
ejpam-5933	44	2	detection	detection	NOUN
ejpam-5933	44	3	remains	remain	VERB
ejpam-5933	44	4	difficult	difficult	ADJ
ejpam-5933	44	5	together	together	ADV
ejpam-5933	44	6	with	with	ADP
ejpam-5933	44	7	limited	limited	ADJ
ejpam-5933	44	8	staff	staff	NOUN
ejpam-5933	44	9	knowledge	knowledge	NOUN
ejpam-5933	44	10	about	about	ADP
ejpam-5933	44	11	disease	disease	NOUN
ejpam-5933	44	12	spread	spread	VERB
ejpam-5933	44	13	across	across	ADP
ejpam-5933	44	14	affected	affected	ADJ
ejpam-5933	44	15	zones	zone	NOUN
ejpam-5933	44	16	.	.	PUNCT
ejpam-5933	45	1	since	since	SCONJ
ejpam-5933	45	2	its	its	PRON
ejpam-5933	45	3	emergence	emergence	NOUN
ejpam-5933	45	4	from	from	ADP
ejpam-5933	45	5	prior	prior	ADJ
ejpam-5933	45	6	poxvirus	poxvirus	ADJ
ejpam-5933	45	7	species	specie	NOUN
ejpam-5933	45	8	,	,	PUNCT
ejpam-5933	45	9	lsdv	lsdv	PROPN
ejpam-5933	45	10	expanded	expand	VERB
ejpam-5933	45	11	its	its	PRON
ejpam-5933	45	12	network	network	NOUN
ejpam-5933	45	13	of	of	ADP
ejpam-5933	45	14	hosts	host	NOUN
ejpam-5933	45	15	and	and	CCONJ
ejpam-5933	45	16	harm	harm	VERB
ejpam-5933	45	17	potential	potential	NOUN
ejpam-5933	45	18	through	through	ADP
ejpam-5933	45	19	double	double	ADV
ejpam-5933	45	20	-	-	PUNCT
ejpam-5933	45	21	stranded	strand	VERB
ejpam-5933	45	22	dna	dna	PROPN
ejpam-5933	45	23	virus	virus	NOUN
ejpam-5933	45	24	homologous	homologous	ADJ
ejpam-5933	45	25	recombination	recombination	NOUN
ejpam-5933	45	26	processes	process	NOUN
ejpam-5933	45	27	[	[	X
ejpam-5933	45	28	30	30	NUM
ejpam-5933	45	29	]	]	PUNCT
ejpam-5933	45	30	.	.	PUNCT
ejpam-5933	46	1	through	through	ADP
ejpam-5933	46	2	genome	genome	NOUN
ejpam-5933	46	3	sequencing	sequence	VERB
ejpam-5933	46	4	the	the	DET
ejpam-5933	46	5	study	study	NOUN
ejpam-5933	46	6	team	team	NOUN
ejpam-5933	46	7	identified	identify	VERB
ejpam-5933	46	8	current	current	ADJ
ejpam-5933	46	9	lsdv	lsdv	ADJ
ejpam-5933	46	10	genetic	genetic	ADJ
ejpam-5933	46	11	variants	variant	NOUN
ejpam-5933	46	12	that	that	PRON
ejpam-5933	46	13	existed	exist	VERB
ejpam-5933	46	14	in	in	ADP
ejpam-5933	46	15	india	india	PROPN
ejpam-5933	46	16	.	.	PUNCT
ejpam-5933	47	1	phylogenetic	phylogenetic	ADJ
ejpam-5933	47	2	examination	examination	NOUN
ejpam-5933	47	3	established	establish	VERB
ejpam-5933	47	4	two	two	NUM
ejpam-5933	47	5	distinguishable	distinguishable	ADJ
ejpam-5933	47	6	variant	variant	ADJ
ejpam-5933	47	7	classes	class	NOUN
ejpam-5933	47	8	having	have	VERB
ejpam-5933	47	9	important	important	ADJ
ejpam-5933	47	10	variations	variation	NOUN
ejpam-5933	47	11	in	in	ADP
ejpam-5933	47	12	their	their	PRON
ejpam-5933	47	13	mutation	mutation	NOUN
ejpam-5933	47	14	(	(	PUNCT
ejpam-5933	47	15	snp	snp	ADJ
ejpam-5933	47	16	)	)	PUNCT
ejpam-5933	47	17	pattern	pattern	NOUN
ejpam-5933	47	18	.	.	PUNCT
ejpam-5933	48	1	yasir	yasir	PROPN
ejpam-5933	48	2	et	et	PROPN
ejpam-5933	48	3	al	al	PROPN
ejpam-5933	48	4	.	.	PUNCT
ejpam-5933	49	1	[	[	X
ejpam-5933	49	2	31	31	NUM
ejpam-5933	49	3	]	]	PUNCT
ejpam-5933	49	4	studied	study	VERB
ejpam-5933	49	5	the	the	DET
ejpam-5933	49	6	competition	competition	NOUN
ejpam-5933	49	7	model	model	NOUN
ejpam-5933	49	8	in	in	ADP
ejpam-5933	49	9	fractional	fractional	ADJ
ejpam-5933	49	10	derivatives	derivative	NOUN
ejpam-5933	49	11	of	of	ADP
ejpam-5933	49	12	caputo	caputo	PROPN
ejpam-5933	49	13	fabrizio	fabrizio	PROPN
ejpam-5933	49	14	type	type	VERB
ejpam-5933	49	15	through	through	ADP
ejpam-5933	49	16	implementation	implementation	NOUN
ejpam-5933	49	17	of	of	ADP
ejpam-5933	49	18	newton	newton	PROPN
ejpam-5933	49	19	based	base	VERB
ejpam-5933	49	20	polynomials	polynomial	NOUN
ejpam-5933	49	21	.	.	PUNCT
ejpam-5933	50	1	singh	singh	PROPN
ejpam-5933	50	2	et	et	PROPN
ejpam-5933	50	3	al	al	PROPN
ejpam-5933	50	4	.	.	PUNCT
ejpam-5933	51	1	[	[	X
ejpam-5933	51	2	32	32	NUM
ejpam-5933	51	3	]	]	PUNCT
ejpam-5933	51	4	studied	study	VERB
ejpam-5933	51	5	the	the	DET
ejpam-5933	51	6	fractional	fractional	ADJ
ejpam-5933	51	7	-	-	PUNCT
ejpam-5933	51	8	order	order	NOUN
ejpam-5933	51	9	compartmental	compartmental	ADJ
ejpam-5933	51	10	model	model	NOUN
ejpam-5933	51	11	for	for	ADP
ejpam-5933	51	12	cervical	cervical	ADJ
ejpam-5933	51	13	cancer	cancer	NOUN
ejpam-5933	51	14	.	.	PUNCT
ejpam-5933	52	1	hpv	hpv	PROPN
ejpam-5933	52	2	serves	serve	VERB
ejpam-5933	52	3	as	as	ADP
ejpam-5933	52	4	the	the	DET
ejpam-5933	52	5	cause	cause	NOUN
ejpam-5933	52	6	for	for	SCONJ
ejpam-5933	52	7	cervical	cervical	ADJ
ejpam-5933	52	8	cancer	cancer	NOUN
ejpam-5933	52	9	to	to	PART
ejpam-5933	52	10	develop	develop	VERB
ejpam-5933	52	11	.	.	PUNCT
ejpam-5933	53	1	this	this	DET
ejpam-5933	53	2	worldwide	worldwide	ADJ
ejpam-5933	53	3	phenomenon	phenomenon	NOUN
ejpam-5933	53	4	receives	receive	VERB
ejpam-5933	53	5	attention	attention	NOUN
ejpam-5933	53	6	through	through	ADP
ejpam-5933	53	7	the	the	DET
ejpam-5933	53	8	utilization	utilization	NOUN
ejpam-5933	53	9	of	of	ADP
ejpam-5933	53	10	the	the	DET
ejpam-5933	53	11	caputo	caputo	PROPN
ejpam-5933	53	12	-	-	PUNCT
ejpam-5933	53	13	fabrizio	fabrizio	PROPN
ejpam-5933	53	14	fractional	fractional	ADJ
ejpam-5933	53	15	operator	operator	NOUN
ejpam-5933	53	16	that	that	PRON
ejpam-5933	53	17	contains	contain	VERB
ejpam-5933	53	18	antiretroviral	antiretroviral	ADJ
ejpam-5933	53	19	medication	medication	NOUN
ejpam-5933	53	20	treatment	treatment	NOUN
ejpam-5933	53	21	sections	section	NOUN
ejpam-5933	53	22	.	.	PUNCT
ejpam-5933	54	1	kumari	kumari	PROPN
ejpam-5933	54	2	et	et	PROPN
ejpam-5933	54	3	al	al	PROPN
ejpam-5933	54	4	.	.	PUNCT
ejpam-5933	55	1	[	[	X
ejpam-5933	55	2	33	33	NUM
ejpam-5933	55	3	]	]	PUNCT
ejpam-5933	55	4	established	establish	VERB
ejpam-5933	55	5	a	a	DET
ejpam-5933	55	6	mathematical	mathematical	ADJ
ejpam-5933	55	7	model	model	NOUN
ejpam-5933	55	8	for	for	ADP
ejpam-5933	55	9	coronavirus	coronavirus	NOUN
ejpam-5933	55	10	using	use	VERB
ejpam-5933	55	11	the	the	DET
ejpam-5933	55	12	caputo	caputo	PROPN
ejpam-5933	55	13	-	-	PUNCT
ejpam-5933	55	14	fabrizio	fabrizio	PROPN
ejpam-5933	55	15	fractional	fractional	ADJ
ejpam-5933	55	16	derivative	derivative	NOUN
ejpam-5933	55	17	.	.	PUNCT
ejpam-5933	56	1	the	the	DET
ejpam-5933	56	2	diabetes	diabetes	NOUN
ejpam-5933	56	3	model	model	NOUN
ejpam-5933	56	4	and	and	CCONJ
ejpam-5933	56	5	its	its	PRON
ejpam-5933	56	6	complications	complication	NOUN
ejpam-5933	56	7	were	be	AUX
ejpam-5933	56	8	examined	examine	VERB
ejpam-5933	56	9	by	by	ADP
ejpam-5933	56	10	singh	singh	PROPN
ejpam-5933	56	11	et	et	PROPN
ejpam-5933	56	12	al	al	PROPN
ejpam-5933	56	13	.	.	PUNCT
ejpam-5933	57	1	[	[	X
ejpam-5933	57	2	34	34	NUM
ejpam-5933	57	3	]	]	PUNCT
ejpam-5933	57	4	using	use	VERB
ejpam-5933	57	5	caputo	caputo	PROPN
ejpam-5933	57	6	-	-	PUNCT
ejpam-5933	57	7	fabrizio	fabrizio	PROPN
ejpam-5933	57	8	fractional	fractional	ADJ
ejpam-5933	57	9	derivatives	derivative	NOUN
ejpam-5933	57	10	.	.	PUNCT
ejpam-5933	58	1	a	a	DET
ejpam-5933	58	2	new	new	ADJ
ejpam-5933	58	3	model	model	NOUN
ejpam-5933	58	4	of	of	ADP
ejpam-5933	58	5	rabies	rabie	NOUN
ejpam-5933	58	6	disease	disease	NOUN
ejpam-5933	58	7	analysis	analysis	NOUN
ejpam-5933	58	8	conducted	conduct	VERB
ejpam-5933	58	9	by	by	ADP
ejpam-5933	58	10	aydogan	aydogan	PROPN
ejpam-5933	58	11	et	et	PROPN
ejpam-5933	58	12	al	al	PROPN
ejpam-5933	58	13	.	.	PUNCT
ejpam-5933	59	1	[	[	X
ejpam-5933	59	2	35	35	NUM
ejpam-5933	59	3	]	]	X
ejpam-5933	59	4	utilized	utilize	VERB
ejpam-5933	59	5	caputo	caputo	PROPN
ejpam-5933	59	6	-	-	PUNCT
ejpam-5933	59	7	fabrizio	fabrizio	PROPN
ejpam-5933	59	8	fractional	fractional	ADJ
ejpam-5933	59	9	derivatives	derivative	NOUN
ejpam-5933	59	10	.	.	PUNCT
ejpam-5933	60	1	butt	butt	PROPN
ejpam-5933	61	1	[	[	X
ejpam-5933	61	2	36	36	NUM
ejpam-5933	61	3	]	]	PUNCT
ejpam-5933	61	4	proposed	propose	VERB
ejpam-5933	61	5	a	a	DET
ejpam-5933	61	6	new	new	ADJ
ejpam-5933	61	7	fractional	fractional	ADJ
ejpam-5933	61	8	model	model	NOUN
ejpam-5933	61	9	of	of	ADP
ejpam-5933	61	10	lsd	lsd	NOUN
ejpam-5933	61	11	dynamics	dynamic	NOUN
ejpam-5933	61	12	which	which	PRON
ejpam-5933	61	13	utilized	utilize	VERB
ejpam-5933	61	14	the	the	DET
ejpam-5933	61	15	atangana	atangana	PROPN
ejpam-5933	61	16	baleanu	baleanu	PROPN
ejpam-5933	61	17	fractional	fractional	ADJ
ejpam-5933	61	18	derivative	derivative	NOUN
ejpam-5933	61	19	to	to	ADP
ejpam-5933	61	20	model	model	NOUN
ejpam-5933	61	21	disease	disease	NOUN
ejpam-5933	61	22	transmission	transmission	NOUN
ejpam-5933	61	23	patterns	pattern	NOUN
ejpam-5933	61	24	and	and	CCONJ
ejpam-5933	61	25	disease	disease	NOUN
ejpam-5933	61	26	memory	memory	NOUN
ejpam-5933	61	27	effects	effect	NOUN
ejpam-5933	61	28	.	.	PUNCT
ejpam-5933	62	1	to	to	PART
ejpam-5933	62	2	develop	develop	VERB
ejpam-5933	62	3	a	a	DET
ejpam-5933	62	4	model	model	NOUN
ejpam-5933	62	5	for	for	ADP
ejpam-5933	62	6	lumpy	lumpy	ADJ
ejpam-5933	62	7	skin	skin	NOUN
ejpam-5933	62	8	disease	disease	NOUN
ejpam-5933	62	9	(	(	PUNCT
ejpam-5933	62	10	lsd	lsd	NOUN
ejpam-5933	62	11	)	)	PUNCT
ejpam-5933	62	12	,	,	PUNCT
ejpam-5933	62	13	the	the	DET
ejpam-5933	62	14	total	total	ADJ
ejpam-5933	62	15	populationn	populationn	NOUN
ejpam-5933	62	16	(	(	PUNCT
ejpam-5933	62	17	s	s	X
ejpam-5933	62	18	)	)	PUNCT
ejpam-5933	62	19	is	be	AUX
ejpam-5933	62	20	categorized	categorize	VERB
ejpam-5933	62	21	into	into	ADP
ejpam-5933	62	22	four	four	NUM
ejpam-5933	62	23	distinct	distinct	ADJ
ejpam-5933	62	24	compartments	compartment	NOUN
ejpam-5933	62	25	:	:	PUNCT
ejpam-5933	62	26	the	the	DET
ejpam-5933	62	27	population	population	NOUN
ejpam-5933	62	28	contains	contain	VERB
ejpam-5933	62	29	four	four	NUM
ejpam-5933	62	30	subsections	subsection	NOUN
ejpam-5933	62	31	including	include	VERB
ejpam-5933	62	32	susceptible	susceptible	ADJ
ejpam-5933	62	33	s(s	s(	NOUN
ejpam-5933	62	34	)	)	PUNCT
ejpam-5933	62	35	exposed	expose	VERB
ejpam-5933	62	36	e(s	e(s	PROPN
ejpam-5933	62	37	)	)	PUNCT
ejpam-5933	62	38	infected	infect	VERB
ejpam-5933	62	39	i(s	i(s	NOUN
ejpam-5933	62	40	)	)	PUNCT
ejpam-5933	62	41	and	and	CCONJ
ejpam-5933	62	42	recovered	recover	VERB
ejpam-5933	62	43	r(s	r(	NOUN
ejpam-5933	62	44	)	)	PUNCT
ejpam-5933	62	45	.	.	PUNCT
ejpam-5933	63	1	therefore	therefore	ADV
ejpam-5933	63	2	,	,	PUNCT
ejpam-5933	63	3	at	at	ADP
ejpam-5933	63	4	any	any	DET
ejpam-5933	63	5	given	give	VERB
ejpam-5933	63	6	time	time	NOUN
ejpam-5933	63	7	t	t	PROPN
ejpam-5933	63	8	,	,	PUNCT
ejpam-5933	63	9	the	the	DET
ejpam-5933	63	10	total	total	ADJ
ejpam-5933	63	11	population	population	NOUN
ejpam-5933	63	12	is	be	AUX
ejpam-5933	63	13	expressed	express	VERB
ejpam-5933	63	14	as	as	ADP
ejpam-5933	63	15	:	:	PUNCT
ejpam-5933	63	16	n	n	CCONJ
ejpam-5933	63	17	(	(	PUNCT
ejpam-5933	63	18	s	s	X
ejpam-5933	63	19	)	)	PUNCT
ejpam-5933	63	20	=	=	SYM
ejpam-5933	63	21	s(s	s(s	ADJ
ejpam-5933	63	22	)	)	PUNCT
ejpam-5933	64	1	+	+	CCONJ
ejpam-5933	64	2	e(s	e(s	NUM
ejpam-5933	64	3	)	)	PUNCT
ejpam-5933	65	1	+	+	CCONJ
ejpam-5933	65	2	i(s	i(s	NOUN
ejpam-5933	65	3	)	)	PUNCT
ejpam-5933	66	1	+	+	NOUN
ejpam-5933	66	2	r(s	r(	NOUN
ejpam-5933	66	3	)	)	PUNCT
ejpam-5933	66	4	.	.	PUNCT
ejpam-5933	67	1	the	the	DET
ejpam-5933	67	2	susceptible	susceptible	ADJ
ejpam-5933	67	3	class	class	NOUN
ejpam-5933	67	4	s(s	s(s	PROPN
ejpam-5933	67	5	)	)	PUNCT
ejpam-5933	67	6	contains	contain	VERB
ejpam-5933	67	7	animals	animal	NOUN
ejpam-5933	67	8	which	which	PRON
ejpam-5933	67	9	can	can	AUX
ejpam-5933	67	10	develop	develop	VERB
ejpam-5933	67	11	virus	virus	NOUN
ejpam-5933	67	12	illnesses	illness	NOUN
ejpam-5933	67	13	from	from	ADP
ejpam-5933	67	14	contact	contact	NOUN
ejpam-5933	67	15	with	with	ADP
ejpam-5933	67	16	virus	virus	NOUN
ejpam-5933	67	17	carriers	carrier	NOUN
ejpam-5933	67	18	.	.	PUNCT
ejpam-5933	68	1	exposed	expose	VERB
ejpam-5933	68	2	cattle	cattle	NOUN
ejpam-5933	68	3	arise	arise	VERB
ejpam-5933	68	4	through	through	ADP
ejpam-5933	68	5	contacts	contact	NOUN
ejpam-5933	68	6	between	between	ADP
ejpam-5933	68	7	susceptible	susceptible	ADJ
ejpam-5933	68	8	cattle	cattle	NOUN
ejpam-5933	68	9	and	and	CCONJ
ejpam-5933	68	10	virus	virus	NOUN
ejpam-5933	68	11	-	-	PUNCT
ejpam-5933	68	12	infected	infect	VERB
ejpam-5933	68	13	cattle	cattle	NOUN
ejpam-5933	68	14	who	who	PRON
ejpam-5933	68	15	advance	advance	VERB
ejpam-5933	68	16	to	to	ADP
ejpam-5933	68	17	the	the	DET
ejpam-5933	68	18	exposed	expose	VERB
ejpam-5933	68	19	class	class	NOUN
ejpam-5933	68	20	e(s	e(s	PROPN
ejpam-5933	68	21	)	)	PUNCT
ejpam-5933	68	22	.	.	PUNCT
ejpam-5933	69	1	exposure	exposure	NOUN
ejpam-5933	69	2	indicates	indicate	VERB
ejpam-5933	69	3	that	that	SCONJ
ejpam-5933	69	4	cattle	cattle	NOUN
ejpam-5933	69	5	within	within	ADP
ejpam-5933	69	6	this	this	DET
ejpam-5933	69	7	population	population	NOUN
ejpam-5933	69	8	have	have	AUX
ejpam-5933	69	9	become	become	VERB
ejpam-5933	69	10	infected	infected	ADJ
ejpam-5933	69	11	but	but	CCONJ
ejpam-5933	69	12	showcase	showcase	NOUN
ejpam-5933	69	13	no	no	DET
ejpam-5933	69	14	contagious	contagious	ADJ
ejpam-5933	69	15	characteristics	characteristic	NOUN
ejpam-5933	69	16	at	at	ADP
ejpam-5933	69	17	present.can	present.can	PUNCT
ejpam-5933	69	18	become	become	VERB
ejpam-5933	69	19	ill	ill	ADJ
ejpam-5933	69	20	due	due	ADJ
ejpam-5933	69	21	to	to	ADP
ejpam-5933	69	22	the	the	DET
ejpam-5933	69	23	interaction	interaction	NOUN
ejpam-5933	69	24	with	with	ADP
ejpam-5933	69	25	the	the	DET
ejpam-5933	69	26	cattle	cattle	NOUN
ejpam-5933	69	27	carrying	carry	VERB
ejpam-5933	69	28	virus	virus	NOUN
ejpam-5933	69	29	.	.	PUNCT
ejpam-5933	70	1	when	when	SCONJ
ejpam-5933	70	2	cattle	cattle	NOUN
ejpam-5933	70	3	from	from	ADP
ejpam-5933	70	4	the	the	DET
ejpam-5933	70	5	susceptible	susceptible	ADJ
ejpam-5933	70	6	class	class	NOUN
ejpam-5933	70	7	interact	interact	NOUN
ejpam-5933	70	8	with	with	ADP
ejpam-5933	70	9	the	the	DET
ejpam-5933	70	10	infections	infection	NOUN
ejpam-5933	70	11	cattle	cattle	NOUN
ejpam-5933	70	12	become	become	VERB
ejpam-5933	70	13	exposed	expose	VERB
ejpam-5933	70	14	cattle	cattle	NOUN
ejpam-5933	70	15	and	and	CCONJ
ejpam-5933	70	16	hence	hence	ADV
ejpam-5933	70	17	move	move	VERB
ejpam-5933	70	18	to	to	ADP
ejpam-5933	70	19	the	the	DET
ejpam-5933	70	20	exposed	expose	VERB
ejpam-5933	70	21	class	class	NOUN
ejpam-5933	70	22	e(s	e(s	PROPN
ejpam-5933	70	23	)	)	PUNCT
ejpam-5933	70	24	.	.	PUNCT
ejpam-5933	71	1	so	so	ADV
ejpam-5933	71	2	,	,	PUNCT
ejpam-5933	71	3	the	the	DET
ejpam-5933	71	4	exposed	expose	VERB
ejpam-5933	71	5	class	class	NOUN
ejpam-5933	71	6	is	be	AUX
ejpam-5933	71	7	the	the	DET
ejpam-5933	71	8	class	class	NOUN
ejpam-5933	71	9	consisting	consist	VERB
ejpam-5933	71	10	of	of	ADP
ejpam-5933	71	11	cattle	cattle	NOUN
ejpam-5933	71	12	that	that	PRON
ejpam-5933	71	13	have	have	AUX
ejpam-5933	71	14	become	become	VERB
ejpam-5933	71	15	infected	infected	ADJ
ejpam-5933	71	16	but	but	CCONJ
ejpam-5933	71	17	not	not	PART
ejpam-5933	71	18	infectious	infectious	ADJ
ejpam-5933	71	19	till	till	SCONJ
ejpam-5933	71	20	now	now	ADV
ejpam-5933	71	21	.	.	PUNCT
ejpam-5933	72	1	the	the	DET
ejpam-5933	72	2	following	follow	VERB
ejpam-5933	72	3	stage	stage	NOUN
ejpam-5933	72	4	comes	come	VERB
ejpam-5933	72	5	in	in	ADP
ejpam-5933	72	6	the	the	DET
ejpam-5933	72	7	form	form	NOUN
ejpam-5933	72	8	of	of	ADP
ejpam-5933	72	9	an	an	DET
ejpam-5933	72	10	infected	infected	ADJ
ejpam-5933	72	11	set	set	NOUN
ejpam-5933	72	12	of	of	ADP
ejpam-5933	72	13	cattle	cattle	NOUN
ejpam-5933	72	14	which	which	PRON
ejpam-5933	72	15	the	the	DET
ejpam-5933	72	16	symbol	symbol	NOUN
ejpam-5933	72	17	i(s	i(s	NOUN
ejpam-5933	72	18	)	)	PUNCT
ejpam-5933	72	19	defines	define	NOUN
ejpam-5933	72	20	.	.	PUNCT
ejpam-5933	73	1	any	any	DET
ejpam-5933	73	2	virus	virus	NOUN
ejpam-5933	73	3	which	which	PRON
ejpam-5933	73	4	establishes	establish	VERB
ejpam-5933	73	5	itself	itself	PRON
ejpam-5933	73	6	in	in	ADP
ejpam-5933	73	7	exposed	expose	VERB
ejpam-5933	73	8	cattle	cattle	NOUN
ejpam-5933	73	9	creates	create	VERB
ejpam-5933	73	10	infectious	infectious	ADJ
ejpam-5933	73	11	beings	being	NOUN
ejpam-5933	73	12	which	which	PRON
ejpam-5933	73	13	transition	transition	VERB
ejpam-5933	73	14	from	from	ADP
ejpam-5933	73	15	the	the	DET
ejpam-5933	73	16	exposed	expose	VERB
ejpam-5933	73	17	class	class	NOUN
ejpam-5933	73	18	e(s	e(s	PROPN
ejpam-5933	73	19	)	)	PUNCT
ejpam-5933	73	20	to	to	ADP
ejpam-5933	73	21	the	the	DET
ejpam-5933	73	22	infected	infected	ADJ
ejpam-5933	73	23	class	class	NOUN
ejpam-5933	73	24	i(s	i(s	NOUN
ejpam-5933	73	25	)	)	PUNCT
ejpam-5933	73	26	.	.	PUNCT
ejpam-5933	74	1	pros	pro	NOUN
ejpam-5933	74	2	of	of	ADP
ejpam-5933	74	3	virus	virus	NOUN
ejpam-5933	74	4	transmission	transmission	NOUN
ejpam-5933	74	5	exist	exist	VERB
ejpam-5933	74	6	whenever	whenever	SCONJ
ejpam-5933	74	7	a	a	DET
ejpam-5933	74	8	cattle	cattle	NOUN
ejpam-5933	74	9	that	that	PRON
ejpam-5933	74	10	is	be	AUX
ejpam-5933	74	11	currently	currently	ADV
ejpam-5933	74	12	infectious	infectious	ADJ
ejpam-5933	74	13	becomes	become	VERB
ejpam-5933	74	14	able	able	ADJ
ejpam-5933	74	15	to	to	PART
ejpam-5933	74	16	replicate	replicate	VERB
ejpam-5933	74	17	and	and	CCONJ
ejpam-5933	74	18	spread	spread	VERB
ejpam-5933	74	19	the	the	DET
ejpam-5933	74	20	virus	virus	NOUN
ejpam-5933	74	21	.	.	PUNCT
ejpam-5933	75	1	at	at	ADP
ejpam-5933	75	2	the	the	DET
ejpam-5933	75	3	next	next	ADJ
ejpam-5933	75	4	stage	stage	NOUN
ejpam-5933	75	5	exists	exist	VERB
ejpam-5933	75	6	the	the	DET
ejpam-5933	75	7	recovered	recovered	ADJ
ejpam-5933	75	8	class	class	NOUN
ejpam-5933	75	9	denoted	denote	VERB
ejpam-5933	75	10	as	as	ADP
ejpam-5933	75	11	r(s	r(	NOUN
ejpam-5933	75	12	)	)	PUNCT
ejpam-5933	75	13	.	.	PUNCT
ejpam-5933	76	1	higher	high	ADJ
ejpam-5933	76	2	levels	level	NOUN
ejpam-5933	76	3	of	of	ADP
ejpam-5933	76	4	immunity	immunity	NOUN
ejpam-5933	76	5	exist	exist	VERB
ejpam-5933	76	6	in	in	ADP
ejpam-5933	76	7	some	some	DET
ejpam-5933	76	8	cattle	cattle	NOUN
ejpam-5933	76	9	population	population	NOUN
ejpam-5933	76	10	leading	lead	VERB
ejpam-5933	76	11	them	they	PRON
ejpam-5933	76	12	to	to	PART
ejpam-5933	76	13	recover	recover	VERB
ejpam-5933	76	14	from	from	ADP
ejpam-5933	76	15	the	the	DET
ejpam-5933	76	16	disease	disease	NOUN
ejpam-5933	76	17	more	more	ADV
ejpam-5933	76	18	efficiently	efficiently	ADV
ejpam-5933	76	19	.	.	PUNCT
ejpam-5933	77	1	proper	proper	ADJ
ejpam-5933	77	2	medication	medication	NOUN
ejpam-5933	77	3	against	against	ADP
ejpam-5933	77	4	infections	infection	NOUN
ejpam-5933	77	5	allows	allow	VERB
ejpam-5933	77	6	these	these	DET
ejpam-5933	77	7	cattle	cattle	NOUN
ejpam-5933	77	8	to	to	PART
ejpam-5933	77	9	enter	enter	VERB
ejpam-5933	77	10	the	the	DET
ejpam-5933	77	11	recovered	recovered	ADJ
ejpam-5933	77	12	class	class	NOUN
ejpam-5933	77	13	.	.	PUNCT
ejpam-5933	78	1	such	such	ADJ
ejpam-5933	78	2	cattle	cattle	NOUN
ejpam-5933	78	3	types	type	NOUN
ejpam-5933	78	4	make	make	VERB
ejpam-5933	78	5	up	up	ADP
ejpam-5933	78	6	this	this	DET
ejpam-5933	78	7	category	category	NOUN
ejpam-5933	78	8	.	.	PUNCT
ejpam-5933	79	1	all	all	DET
ejpam-5933	79	2	state	state	NOUN
ejpam-5933	79	3	variables	variable	NOUN
ejpam-5933	79	4	s(s	s(s	PROPN
ejpam-5933	79	5	)	)	PUNCT
ejpam-5933	79	6	,	,	PUNCT
ejpam-5933	79	7	e(s	e(s	PROPN
ejpam-5933	79	8	)	)	PUNCT
ejpam-5933	79	9	,	,	PUNCT
ejpam-5933	79	10	i(s	i(s	NOUN
ejpam-5933	79	11	)	)	PUNCT
ejpam-5933	79	12	,	,	PUNCT
ejpam-5933	79	13	r(s	r(s	PROPN
ejpam-5933	79	14	)	)	PUNCT
ejpam-5933	79	15	meet	meet	VERB
ejpam-5933	79	16	the	the	DET
ejpam-5933	79	17	requirement	requirement	NOUN
ejpam-5933	79	18	of	of	ADP
ejpam-5933	79	19	r.	r.	PROPN
ejpam-5933	79	20	ramaswamy	ramaswamy	PROPN
ejpam-5933	79	21	et	et	PROPN
ejpam-5933	79	22	al	al	PROPN
ejpam-5933	79	23	.	.	PUNCT
ejpam-5933	79	24	/	/	SYM
ejpam-5933	79	25	eur	eur	PROPN
ejpam-5933	79	26	.	.	PUNCT
ejpam-5933	80	1	j.	j.	PROPN
ejpam-5933	80	2	pure	pure	PROPN
ejpam-5933	80	3	appl	appl	PROPN
ejpam-5933	80	4	.	.	PROPN
ejpam-5933	80	5	math	math	PROPN
ejpam-5933	80	6	,	,	PUNCT
ejpam-5933	80	7	18	18	NUM
ejpam-5933	80	8	(	(	PUNCT
ejpam-5933	80	9	2	2	NUM
ejpam-5933	80	10	)	)	PUNCT
ejpam-5933	80	11	(	(	PUNCT
ejpam-5933	80	12	2025	2025	NUM
ejpam-5933	80	13	)	)	PUNCT
ejpam-5933	80	14	,	,	PUNCT
ejpam-5933	80	15	5933	5933	NUM
ejpam-5933	80	16	4	4	NUM
ejpam-5933	80	17	of	of	ADP
ejpam-5933	80	18	25	25	NUM
ejpam-5933	80	19	continuous	continuous	ADJ
ejpam-5933	80	20	differentiability	differentiability	NOUN
ejpam-5933	80	21	when	when	SCONJ
ejpam-5933	80	22	considered	consider	VERB
ejpam-5933	80	23	over	over	ADP
ejpam-5933	80	24	t	t	PROPN
ejpam-5933	80	25	in	in	ADP
ejpam-5933	80	26	the	the	DET
ejpam-5933	80	27	time	time	NOUN
ejpam-5933	80	28	interval	interval	NOUN
ejpam-5933	80	29	[	[	X
ejpam-5933	80	30	0,∞	0,∞	NOUN
ejpam-5933	80	31	)	)	PUNCT
ejpam-5933	80	32	.	.	PUNCT
ejpam-5933	81	1	the	the	DET
ejpam-5933	81	2	flow	flow	NOUN
ejpam-5933	81	3	pattern	pattern	NOUN
ejpam-5933	81	4	for	for	ADP
ejpam-5933	81	5	lsd	lsd	NOUN
ejpam-5933	81	6	is	be	AUX
ejpam-5933	81	7	shown	show	VERB
ejpam-5933	81	8	in	in	ADP
ejpam-5933	81	9	the	the	DET
ejpam-5933	81	10	fig	fig	NOUN
ejpam-5933	81	11	.	.	PUNCT
ejpam-5933	81	12	1	1	NUM
ejpam-5933	81	13	which	which	PRON
ejpam-5933	81	14	in	in	ADP
ejpam-5933	81	15	the	the	DET
ejpam-5933	81	16	form	form	NOUN
ejpam-5933	81	17	of	of	ADP
ejpam-5933	81	18	nonlinear	nonlinear	ADJ
ejpam-5933	81	19	ordinary	ordinary	ADJ
ejpam-5933	81	20	differential	differential	ADJ
ejpam-5933	81	21	equations	equation	NOUN
ejpam-5933	81	22	is	be	AUX
ejpam-5933	81	23	given	give	VERB
ejpam-5933	81	24	as	as	ADP
ejpam-5933	81	25	:	:	PUNCT
ejpam-5933	81	26	ds	ds	ADJ
ejpam-5933	81	27	ds	ds	ADJ
ejpam-5933	81	28	=	=	PUNCT
ejpam-5933	81	29	αn	αn	NOUN
ejpam-5933	81	30	−	−	NOUN
ejpam-5933	81	31	βsi	βsi	NOUN
ejpam-5933	81	32	+	+	CCONJ
ejpam-5933	81	33	θr−	θr−	NUM
ejpam-5933	81	34	ϕs	ϕs	INTJ
ejpam-5933	81	35	,	,	PUNCT
ejpam-5933	81	36	de	de	X
ejpam-5933	81	37	ds	ds	ADJ
ejpam-5933	81	38	=	=	PUNCT
ejpam-5933	81	39	βsi	βsi	NOUN
ejpam-5933	82	1	−	−	NOUN
ejpam-5933	82	2	γe	γe	INTJ
ejpam-5933	82	3	−	−	PROPN
ejpam-5933	82	4	ϕe	ϕe	INTJ
ejpam-5933	82	5	,	,	PUNCT
ejpam-5933	82	6	di	di	NOUN
ejpam-5933	82	7	ds	ds	NOUN
ejpam-5933	82	8	=	=	NOUN
ejpam-5933	82	9	γe	γe	NUM
ejpam-5933	82	10	−	−	PROPN
ejpam-5933	82	11	ωi	ωi	INTJ
ejpam-5933	82	12	−	−	NOUN
ejpam-5933	82	13	ϕi	ϕi	PROPN
ejpam-5933	82	14	,	,	PUNCT
ejpam-5933	82	15	dr	dr	PROPN
ejpam-5933	82	16	ds	ds	PROPN
ejpam-5933	82	17	=	=	X
ejpam-5933	82	18	ωi	ωi	PUNCT
ejpam-5933	82	19	−	−	PROPN
ejpam-5933	82	20	θr−	θr−	NUM
ejpam-5933	82	21	ϕr	ϕr	NOUN
ejpam-5933	82	22	,	,	PUNCT
ejpam-5933	82	23	along	along	ADP
ejpam-5933	82	24	with	with	ADP
ejpam-5933	82	25	the	the	DET
ejpam-5933	82	26	following	follow	VERB
ejpam-5933	82	27	non	non	ADJ
ejpam-5933	82	28	-	-	ADJ
ejpam-5933	82	29	negative	negative	ADJ
ejpam-5933	82	30	initial	initial	ADJ
ejpam-5933	82	31	conditions	condition	NOUN
ejpam-5933	82	32	.	.	PUNCT
ejpam-5933	83	1	s(0	s(0	ADJ
ejpam-5933	83	2	)	)	PUNCT
ejpam-5933	83	3	=	=	SYM
ejpam-5933	83	4	s0	s0	PROPN
ejpam-5933	83	5	,	,	PUNCT
ejpam-5933	83	6	e(0	e(0	NOUN
ejpam-5933	83	7	)	)	PUNCT
ejpam-5933	83	8	=	=	SYM
ejpam-5933	83	9	e0	e0	PROPN
ejpam-5933	83	10	,	,	PUNCT
ejpam-5933	83	11	i(0	i(0	PROPN
ejpam-5933	83	12	)	)	PUNCT
ejpam-5933	83	13	=	=	SYM
ejpam-5933	83	14	i0,r(0	i0,r(0	PROPN
ejpam-5933	83	15	)	)	PUNCT
ejpam-5933	83	16	=	=	SYM
ejpam-5933	83	17	r0	r0	NOUN
ejpam-5933	83	18	.	.	PUNCT
ejpam-5933	84	1	the	the	DET
ejpam-5933	84	2	rest	rest	NOUN
ejpam-5933	84	3	of	of	ADP
ejpam-5933	84	4	the	the	DET
ejpam-5933	84	5	paper	paper	NOUN
ejpam-5933	84	6	is	be	AUX
ejpam-5933	84	7	organised	organise	VERB
ejpam-5933	84	8	as	as	SCONJ
ejpam-5933	84	9	follows	follow	VERB
ejpam-5933	84	10	:	:	PUNCT
ejpam-5933	84	11	in	in	ADP
ejpam-5933	84	12	section	section	NOUN
ejpam-5933	84	13	2	2	NUM
ejpam-5933	84	14	we	we	PRON
ejpam-5933	84	15	present	present	VERB
ejpam-5933	84	16	the	the	DET
ejpam-5933	84	17	lsd	lsd	NOUN
ejpam-5933	84	18	model	model	NOUN
ejpam-5933	84	19	figure	figure	NOUN
ejpam-5933	84	20	1	1	NUM
ejpam-5933	84	21	:	:	PUNCT
ejpam-5933	84	22	flow	flow	VERB
ejpam-5933	84	23	chart	chart	NOUN
ejpam-5933	84	24	table	table	NOUN
ejpam-5933	84	25	1	1	NUM
ejpam-5933	84	26	:	:	PUNCT
ejpam-5933	84	27	description	description	NOUN
ejpam-5933	84	28	of	of	ADP
ejpam-5933	84	29	the	the	DET
ejpam-5933	84	30	parameters	parameter	NOUN
ejpam-5933	84	31	used	use	VERB
ejpam-5933	84	32	in	in	ADP
ejpam-5933	84	33	the	the	DET
ejpam-5933	84	34	model	model	NOUN
ejpam-5933	84	35	(	(	PUNCT
ejpam-5933	84	36	1	1	X
ejpam-5933	84	37	)	)	PUNCT
ejpam-5933	84	38	parameter	parameter	NOUN
ejpam-5933	84	39	description	description	NOUN
ejpam-5933	84	40	values	value	NOUN
ejpam-5933	84	41	source	source	VERB
ejpam-5933	84	42	α	α	DET
ejpam-5933	84	43	birth	birth	NOUN
ejpam-5933	84	44	rate	rate	NOUN
ejpam-5933	84	45	0.0114	0.0114	NUM
ejpam-5933	85	1	[	[	X
ejpam-5933	85	2	37	37	NUM
ejpam-5933	85	3	]	]	PUNCT
ejpam-5933	85	4	β	β	NOUN
ejpam-5933	85	5	infection	infection	NOUN
ejpam-5933	85	6	rate	rate	NOUN
ejpam-5933	85	7	0.00011412	0.00011412	NUM
ejpam-5933	86	1	[	[	X
ejpam-5933	86	2	38	38	NUM
ejpam-5933	86	3	]	]	PUNCT
ejpam-5933	86	4	γ	γ	PROPN
ejpam-5933	86	5	progression	progression	NOUN
ejpam-5933	86	6	rate	rate	NOUN
ejpam-5933	86	7	from	from	ADP
ejpam-5933	86	8	exposed	expose	VERB
ejpam-5933	86	9	to	to	ADP
ejpam-5933	86	10	infected	infected	ADJ
ejpam-5933	86	11	0.95	0.95	NUM
ejpam-5933	86	12	[	[	X
ejpam-5933	86	13	38	38	NUM
ejpam-5933	86	14	]	]	PUNCT
ejpam-5933	86	15	ω	ω	NUM
ejpam-5933	86	16	recovery	recovery	NOUN
ejpam-5933	86	17	rate	rate	NOUN
ejpam-5933	86	18	0.14	0.14	NUM
ejpam-5933	86	19	assumed	assume	VERB
ejpam-5933	86	20	ϕ	ϕ	PROPN
ejpam-5933	86	21	natural	natural	ADJ
ejpam-5933	86	22	death	death	NOUN
ejpam-5933	86	23	rate	rate	NOUN
ejpam-5933	86	24	0.0057	0.0057	NUM
ejpam-5933	86	25	assumed	assume	VERB
ejpam-5933	86	26	θ	θ	PROPN
ejpam-5933	86	27	loss	loss	NOUN
ejpam-5933	86	28	of	of	ADP
ejpam-5933	86	29	immunity	immunity	NOUN
ejpam-5933	86	30	rate	rate	NOUN
ejpam-5933	86	31	0.007	0.007	NUM
ejpam-5933	86	32	assumed	assume	VERB
ejpam-5933	86	33	with	with	ADP
ejpam-5933	86	34	(	(	PUNCT
ejpam-5933	86	35	cf	cf	NOUN
ejpam-5933	86	36	)	)	PUNCT
ejpam-5933	86	37	derivative	derivative	NOUN
ejpam-5933	86	38	and	and	CCONJ
ejpam-5933	86	39	review	review	VERB
ejpam-5933	86	40	some	some	DET
ejpam-5933	86	41	model	model	NOUN
ejpam-5933	86	42	basic	basic	ADJ
ejpam-5933	86	43	preliminaries	preliminary	NOUN
ejpam-5933	86	44	and	and	CCONJ
ejpam-5933	86	45	present	present	ADJ
ejpam-5933	86	46	and	and	CCONJ
ejpam-5933	86	47	establish	establish	VERB
ejpam-5933	86	48	the	the	DET
ejpam-5933	86	49	results	result	NOUN
ejpam-5933	86	50	for	for	ADP
ejpam-5933	86	51	positivity	positivity	NOUN
ejpam-5933	86	52	,	,	PUNCT
ejpam-5933	86	53	boundedness	boundedness	NOUN
ejpam-5933	86	54	,	,	PUNCT
ejpam-5933	86	55	existence	existence	NOUN
ejpam-5933	86	56	and	and	CCONJ
ejpam-5933	86	57	uniqueness	uniqueness	NOUN
ejpam-5933	86	58	of	of	ADP
ejpam-5933	86	59	the	the	DET
ejpam-5933	86	60	solutions	solution	NOUN
ejpam-5933	86	61	for	for	ADP
ejpam-5933	86	62	the	the	DET
ejpam-5933	86	63	model	model	NOUN
ejpam-5933	86	64	.	.	PUNCT
ejpam-5933	87	1	in	in	ADP
ejpam-5933	87	2	section-3	section-3	NUM
ejpam-5933	87	3	we	we	PRON
ejpam-5933	87	4	analyyse	analyyse	VERB
ejpam-5933	87	5	the	the	DET
ejpam-5933	87	6	ulam	ulam	NOUN
ejpam-5933	87	7	-	-	PUNCT
ejpam-5933	87	8	hyers	hyer	NOUN
ejpam-5933	87	9	stability	stability	NOUN
ejpam-5933	87	10	and	and	CCONJ
ejpam-5933	87	11	investigate	investigate	VERB
ejpam-5933	87	12	the	the	DET
ejpam-5933	87	13	disease	disease	NOUN
ejpam-5933	87	14	-	-	PUNCT
ejpam-5933	87	15	free	free	ADJ
ejpam-5933	87	16	and	and	CCONJ
ejpam-5933	87	17	disease	disease	NOUN
ejpam-5933	87	18	-	-	PUNCT
ejpam-5933	87	19	endemic	endemic	ADJ
ejpam-5933	87	20	equilibrium	equilibrium	NOUN
ejpam-5933	87	21	points	point	NOUN
ejpam-5933	87	22	in	in	ADP
ejpam-5933	87	23	section-4	section-4	ADJ
ejpam-5933	87	24	.	.	PUNCT
ejpam-5933	88	1	the	the	DET
ejpam-5933	88	2	numerical	numerical	ADJ
ejpam-5933	88	3	scheme	scheme	NOUN
ejpam-5933	88	4	is	be	AUX
ejpam-5933	88	5	presented	present	VERB
ejpam-5933	88	6	in	in	ADP
ejpam-5933	88	7	section-5	section-5	PROPN
ejpam-5933	88	8	and	and	CCONJ
ejpam-5933	88	9	the	the	DET
ejpam-5933	88	10	results	result	NOUN
ejpam-5933	88	11	are	be	AUX
ejpam-5933	88	12	discussed	discuss	VERB
ejpam-5933	88	13	in	in	ADP
ejpam-5933	88	14	section-6	section-6	PROPN
ejpam-5933	88	15	,	,	PUNCT
ejpam-5933	88	16	which	which	PRON
ejpam-5933	88	17	we	we	PRON
ejpam-5933	88	18	believe	believe	VERB
ejpam-5933	88	19	will	will	AUX
ejpam-5933	88	20	help	help	VERB
ejpam-5933	88	21	in	in	ADP
ejpam-5933	88	22	r.	r.	PROPN
ejpam-5933	88	23	ramaswamy	ramaswamy	PROPN
ejpam-5933	88	24	et	et	PROPN
ejpam-5933	88	25	al	al	PROPN
ejpam-5933	88	26	.	.	PUNCT
ejpam-5933	88	27	/	/	SYM
ejpam-5933	88	28	eur	eur	PROPN
ejpam-5933	88	29	.	.	PUNCT
ejpam-5933	89	1	j.	j.	PROPN
ejpam-5933	89	2	pure	pure	PROPN
ejpam-5933	89	3	appl	appl	PROPN
ejpam-5933	89	4	.	.	PROPN
ejpam-5933	89	5	math	math	PROPN
ejpam-5933	89	6	,	,	PUNCT
ejpam-5933	89	7	18	18	NUM
ejpam-5933	89	8	(	(	PUNCT
ejpam-5933	89	9	2	2	NUM
ejpam-5933	89	10	)	)	PUNCT
ejpam-5933	89	11	(	(	PUNCT
ejpam-5933	89	12	2025	2025	NUM
ejpam-5933	89	13	)	)	PUNCT
ejpam-5933	89	14	,	,	PUNCT
ejpam-5933	89	15	5933	5933	NUM
ejpam-5933	89	16	5	5	NUM
ejpam-5933	89	17	of	of	ADP
ejpam-5933	89	18	25	25	NUM
ejpam-5933	89	19	formulating	formulate	VERB
ejpam-5933	89	20	policies	policy	NOUN
ejpam-5933	89	21	for	for	ADP
ejpam-5933	89	22	restricting	restrict	VERB
ejpam-5933	89	23	the	the	DET
ejpam-5933	89	24	spread	spread	NOUN
ejpam-5933	89	25	of	of	ADP
ejpam-5933	89	26	lsd	lsd	NOUN
ejpam-5933	89	27	and	and	CCONJ
ejpam-5933	89	28	thus	thus	ADV
ejpam-5933	89	29	attain	attain	VERB
ejpam-5933	89	30	the	the	DET
ejpam-5933	89	31	sdg-3	sdg-3	PUNCT
ejpam-5933	89	32	as	as	ADV
ejpam-5933	89	33	well	well	ADV
ejpam-5933	89	34	as	as	ADP
ejpam-5933	89	35	sdg-15	sdg-15	NUM
ejpam-5933	89	36	and	and	CCONJ
ejpam-5933	89	37	other	other	ADJ
ejpam-5933	89	38	related	related	ADJ
ejpam-5933	89	39	goals	goal	NOUN
ejpam-5933	89	40	of	of	ADP
ejpam-5933	89	41	[	[	X
ejpam-5933	89	42	1	1	NUM
ejpam-5933	89	43	]	]	PUNCT
ejpam-5933	89	44	.	.	PUNCT
ejpam-5933	90	1	finally	finally	ADV
ejpam-5933	90	2	we	we	PRON
ejpam-5933	90	3	conclude	conclude	VERB
ejpam-5933	90	4	the	the	DET
ejpam-5933	90	5	article	article	NOUN
ejpam-5933	90	6	with	with	ADP
ejpam-5933	90	7	scope	scope	NOUN
ejpam-5933	90	8	for	for	ADP
ejpam-5933	90	9	further	further	ADJ
ejpam-5933	90	10	research	research	NOUN
ejpam-5933	90	11	.	.	PUNCT
ejpam-5933	91	1	2	2	X
ejpam-5933	91	2	.	.	X
ejpam-5933	91	3	lumpy	lumpy	ADJ
ejpam-5933	91	4	skin	skin	NOUN
ejpam-5933	91	5	disease	disease	NOUN
ejpam-5933	91	6	with	with	ADP
ejpam-5933	91	7	caputo	caputo	PROPN
ejpam-5933	91	8	-	-	PUNCT
ejpam-5933	91	9	fabrizio	fabrizio	PROPN
ejpam-5933	91	10	the	the	DET
ejpam-5933	91	11	lumpy	lumpy	ADJ
ejpam-5933	91	12	skin	skin	NOUN
ejpam-5933	91	13	disease	disease	NOUN
ejpam-5933	91	14	model	model	NOUN
ejpam-5933	91	15	with	with	ADP
ejpam-5933	91	16	caputo	caputo	NOUN
ejpam-5933	91	17	-	-	PUNCT
ejpam-5933	91	18	fabrizio(cf	fabrizio(cf	NOUN
ejpam-5933	91	19	)	)	PUNCT
ejpam-5933	91	20	derivative	derivative	NOUN
ejpam-5933	91	21	is	be	AUX
ejpam-5933	91	22	given	give	VERB
ejpam-5933	91	23	by	by	PROPN
ejpam-5933	92	1	cfda	cfda	PROPN
ejpam-5933	92	2	ss	ss	NOUN
ejpam-5933	93	1	=	=	PUNCT
ejpam-5933	93	2	αn	αn	NOUN
ejpam-5933	93	3	−	−	NOUN
ejpam-5933	93	4	βsi	βsi	NOUN
ejpam-5933	93	5	+	+	CCONJ
ejpam-5933	93	6	θr−	θr−	NUM
ejpam-5933	93	7	ϕs	ϕs	INTJ
ejpam-5933	93	8	,	,	PUNCT
ejpam-5933	93	9	cfda	cfda	PROPN
ejpam-5933	93	10	se	se	X
ejpam-5933	94	1	=	=	PUNCT
ejpam-5933	94	2	βsi	βsi	NOUN
ejpam-5933	94	3	−	−	PROPN
ejpam-5933	94	4	γe	γe	INTJ
ejpam-5933	94	5	−	−	PROPN
ejpam-5933	94	6	ϕe	ϕe	INTJ
ejpam-5933	94	7	,	,	PUNCT
ejpam-5933	94	8	cfda	cfda	PROPN
ejpam-5933	94	9	si	si	X
ejpam-5933	95	1	=	=	PUNCT
ejpam-5933	95	2	γe	γe	NUM
ejpam-5933	95	3	−	−	PROPN
ejpam-5933	95	4	ωi	ωi	INTJ
ejpam-5933	95	5	−	−	NOUN
ejpam-5933	95	6	ϕi	ϕi	PROPN
ejpam-5933	95	7	,	,	PUNCT
ejpam-5933	95	8	cfda	cfda	PROPN
ejpam-5933	95	9	sr	sr	PROPN
ejpam-5933	95	10	=	=	PUNCT
ejpam-5933	95	11	ωi	ωi	PROPN
ejpam-5933	95	12	−	−	PROPN
ejpam-5933	95	13	θr−	θr−	NUM
ejpam-5933	95	14	ϕr	ϕr	NOUN
ejpam-5933	95	15	,	,	PUNCT
ejpam-5933	95	16	(	(	PUNCT
ejpam-5933	95	17	1	1	X
ejpam-5933	95	18	)	)	PUNCT
ejpam-5933	95	19	with	with	ADP
ejpam-5933	95	20	a	a	DET
ejpam-5933	95	21	being	be	AUX
ejpam-5933	95	22	the	the	DET
ejpam-5933	95	23	fractional	fractional	ADJ
ejpam-5933	95	24	order	order	NOUN
ejpam-5933	95	25	0	0	PUNCT
ejpam-5933	95	26	<	<	X
ejpam-5933	95	27	a	a	DET
ejpam-5933	95	28	<	<	X
ejpam-5933	95	29	1	1	NUM
ejpam-5933	95	30	subject	subject	NOUN
ejpam-5933	95	31	to	to	ADP
ejpam-5933	95	32	the	the	DET
ejpam-5933	95	33	following	follow	VERB
ejpam-5933	95	34	initial	initial	ADJ
ejpam-5933	95	35	conditions	condition	NOUN
ejpam-5933	95	36	s(0	s(0	PROPN
ejpam-5933	95	37	)	)	PUNCT
ejpam-5933	95	38	=	=	SYM
ejpam-5933	95	39	s0	s0	PROPN
ejpam-5933	95	40	,	,	PUNCT
ejpam-5933	95	41	e(0	e(0	NOUN
ejpam-5933	95	42	)	)	PUNCT
ejpam-5933	95	43	=	=	SYM
ejpam-5933	95	44	e0	e0	PROPN
ejpam-5933	95	45	,	,	PUNCT
ejpam-5933	95	46	i(0	i(0	PROPN
ejpam-5933	95	47	)	)	PUNCT
ejpam-5933	95	48	=	=	SYM
ejpam-5933	95	49	i0,r(0	i0,r(0	PROPN
ejpam-5933	95	50	)	)	PUNCT
ejpam-5933	95	51	=	=	SYM
ejpam-5933	95	52	r0	r0	NOUN
ejpam-5933	95	53	.	.	PUNCT
ejpam-5933	96	1	(	(	PUNCT
ejpam-5933	96	2	2	2	NUM
ejpam-5933	96	3	)	)	PUNCT
ejpam-5933	96	4	2.1	2.1	NUM
ejpam-5933	96	5	.	.	PUNCT
ejpam-5933	97	1	model	model	NOUN
ejpam-5933	97	2	basic	basic	ADJ
ejpam-5933	97	3	preliminaries	preliminary	NOUN
ejpam-5933	97	4	here	here	ADV
ejpam-5933	97	5	,	,	PUNCT
ejpam-5933	97	6	we	we	PRON
ejpam-5933	97	7	give	give	VERB
ejpam-5933	97	8	some	some	PRON
ejpam-5933	97	9	of	of	ADP
ejpam-5933	97	10	the	the	DET
ejpam-5933	97	11	mathematical	mathematical	ADJ
ejpam-5933	97	12	preliminaries	preliminary	NOUN
ejpam-5933	97	13	in	in	ADP
ejpam-5933	97	14	the	the	DET
ejpam-5933	97	15	form	form	NOUN
ejpam-5933	97	16	of	of	ADP
ejpam-5933	97	17	theorems	theorem	NOUN
ejpam-5933	97	18	,	,	PUNCT
ejpam-5933	97	19	which	which	PRON
ejpam-5933	97	20	we	we	PRON
ejpam-5933	97	21	shall	shall	AUX
ejpam-5933	97	22	apply	apply	VERB
ejpam-5933	97	23	to	to	PART
ejpam-5933	97	24	prove	prove	VERB
ejpam-5933	97	25	the	the	DET
ejpam-5933	97	26	positivity	positivity	NOUN
ejpam-5933	97	27	and	and	CCONJ
ejpam-5933	97	28	uniqueness	uniqueness	NOUN
ejpam-5933	97	29	and	and	CCONJ
ejpam-5933	97	30	positivity	positivity	NOUN
ejpam-5933	97	31	of	of	ADP
ejpam-5933	97	32	lumpy	lumpy	ADJ
ejpam-5933	97	33	skin	skin	NOUN
ejpam-5933	97	34	disease	disease	NOUN
ejpam-5933	97	35	model	model	NOUN
ejpam-5933	97	36	with	with	ADP
ejpam-5933	97	37	caputo	caputo	NOUN
ejpam-5933	97	38	-	-	PUNCT
ejpam-5933	97	39	fabrizio(cf	fabrizio(cf	NOUN
ejpam-5933	97	40	)	)	PUNCT
ejpam-5933	97	41	(	(	PUNCT
ejpam-5933	97	42	1	1	X
ejpam-5933	97	43	)	)	PUNCT
ejpam-5933	97	44	as	as	SCONJ
ejpam-5933	97	45	defined	define	VERB
ejpam-5933	97	46	[	[	PUNCT
ejpam-5933	97	47	39	39	NUM
ejpam-5933	97	48	,	,	PUNCT
ejpam-5933	97	49	40	40	NUM
ejpam-5933	97	50	]	]	PUNCT
ejpam-5933	97	51	respectively	respectively	ADV
ejpam-5933	97	52	.	.	PUNCT
ejpam-5933	98	1	more	more	ADJ
ejpam-5933	98	2	details	detail	NOUN
ejpam-5933	98	3	,	,	PUNCT
ejpam-5933	98	4	one	one	PRON
ejpam-5933	98	5	can	can	AUX
ejpam-5933	98	6	read	read	VERB
ejpam-5933	98	7	[	[	X
ejpam-5933	98	8	41–43	41–43	NUM
ejpam-5933	98	9	]	]	PUNCT
ejpam-5933	98	10	.	.	PUNCT
ejpam-5933	99	1	we	we	PRON
ejpam-5933	99	2	assume	assume	VERB
ejpam-5933	99	3	the	the	DET
ejpam-5933	99	4	space	space	NOUN
ejpam-5933	99	5	{	{	PUNCT
ejpam-5933	99	6	ϕ(s	ϕ(s	PROPN
ejpam-5933	99	7	)	)	PUNCT
ejpam-5933	99	8	∈	∈	PROPN
ejpam-5933	99	9	c([0	c([0	NOUN
ejpam-5933	99	10	,	,	PUNCT
ejpam-5933	99	11	1	1	NUM
ejpam-5933	99	12	]	]	PUNCT
ejpam-5933	99	13	→	→	SYM
ejpam-5933	99	14	r	r	NOUN
ejpam-5933	99	15	)	)	PUNCT
ejpam-5933	99	16	}	}	PUNCT
ejpam-5933	99	17	with	with	ADP
ejpam-5933	99	18	||ϕ||	||ϕ||	PROPN
ejpam-5933	99	19	=	=	SYM
ejpam-5933	99	20	max	max	PROPN
ejpam-5933	99	21	s∈[0,1	s∈[0,1	PROPN
ejpam-5933	99	22	]	]	X
ejpam-5933	99	23	|ϕ(s)|	|ϕ(s)|	PROPN
ejpam-5933	99	24	.	.	PROPN
ejpam-5933	99	25	(	(	PUNCT
ejpam-5933	99	26	3	3	X
ejpam-5933	99	27	)	)	PUNCT
ejpam-5933	99	28	the	the	DET
ejpam-5933	99	29	definitions	definition	NOUN
ejpam-5933	99	30	are	be	AUX
ejpam-5933	99	31	stated	state	VERB
ejpam-5933	99	32	as	as	SCONJ
ejpam-5933	99	33	follows	follow	VERB
ejpam-5933	99	34	.	.	PUNCT
ejpam-5933	100	1	definition	definition	NOUN
ejpam-5933	100	2	1	1	NUM
ejpam-5933	100	3	.	.	PUNCT
ejpam-5933	101	1	let	let	VERB
ejpam-5933	101	2	ϕ	ϕ	NOUN
ejpam-5933	101	3	:	:	PUNCT
ejpam-5933	101	4	r+	r+	NOUN
ejpam-5933	101	5	→	→	PUNCT
ejpam-5933	101	6	r	r	NOUN
ejpam-5933	101	7	and	and	CCONJ
ejpam-5933	101	8	a	a	DET
ejpam-5933	101	9	∈	∈	PROPN
ejpam-5933	101	10	(	(	PUNCT
ejpam-5933	101	11	n	n	CCONJ
ejpam-5933	101	12	−	−	PROPN
ejpam-5933	101	13	1	1	NUM
ejpam-5933	101	14	,	,	PUNCT
ejpam-5933	101	15	n	n	CCONJ
ejpam-5933	101	16	)	)	PUNCT
ejpam-5933	101	17	,	,	PUNCT
ejpam-5933	101	18	n	n	PROPN
ejpam-5933	101	19	∈	∈	PROPN
ejpam-5933	101	20	n.	n.	NOUN
ejpam-5933	101	21	the	the	DET
ejpam-5933	101	22	left	leave	VERB
ejpam-5933	101	23	caputo	caputo	PROPN
ejpam-5933	101	24	fractional	fractional	PROPN
ejpam-5933	101	25	derivative	derivative	NOUN
ejpam-5933	101	26	of	of	ADP
ejpam-5933	101	27	order	order	NOUN
ejpam-5933	101	28	a	a	PRON
ejpam-5933	101	29	of	of	ADP
ejpam-5933	101	30	the	the	DET
ejpam-5933	101	31	function	function	NOUN
ejpam-5933	101	32	ϕ	ϕ	NOUN
ejpam-5933	101	33	is	be	AUX
ejpam-5933	101	34	given	give	VERB
ejpam-5933	101	35	by	by	ADP
ejpam-5933	101	36	the	the	DET
ejpam-5933	101	37	following	follow	VERB
ejpam-5933	101	38	equality	equality	NOUN
ejpam-5933	101	39	:	:	PUNCT
ejpam-5933	101	40	c	c	PROPN
ejpam-5933	101	41	0da	0da	PROPN
ejpam-5933	101	42	s	s	X
ejpam-5933	101	43	(	(	PUNCT
ejpam-5933	101	44	ϕ(s	ϕ(s	PROPN
ejpam-5933	101	45	)	)	PUNCT
ejpam-5933	101	46	)	)	PUNCT
ejpam-5933	102	1	=	=	SYM
ejpam-5933	102	2	1	1	NUM
ejpam-5933	102	3	γ(n−	γ(n−	PROPN
ejpam-5933	102	4	a	a	PRON
ejpam-5933	102	5	)	)	PUNCT
ejpam-5933	102	6	∫	∫	PROPN
ejpam-5933	102	7	s	s	PART
ejpam-5933	102	8	0	0	NUM
ejpam-5933	102	9	(	(	PUNCT
ejpam-5933	102	10	s−	s−	PROPN
ejpam-5933	102	11	s)n−a−1ϕ(n)(s)ds	s)n−a−1ϕ(n)(s)ds	PROPN
ejpam-5933	102	12	,	,	PUNCT
ejpam-5933	102	13	s	s	VERB
ejpam-5933	102	14	>	>	X
ejpam-5933	102	15	0	0	PROPN
ejpam-5933	102	16	.	.	PUNCT
ejpam-5933	103	1	definition	definition	NOUN
ejpam-5933	103	2	2	2	NUM
ejpam-5933	103	3	.	.	PUNCT
ejpam-5933	104	1	the	the	DET
ejpam-5933	104	2	fractional	fractional	ADJ
ejpam-5933	104	3	integral	integral	ADJ
ejpam-5933	104	4	associate	associate	NOUN
ejpam-5933	104	5	to	to	ADP
ejpam-5933	104	6	the	the	DET
ejpam-5933	104	7	new	new	ADJ
ejpam-5933	104	8	fractional	fractional	ADJ
ejpam-5933	104	9	integral	integral	ADJ
ejpam-5933	104	10	with	with	ADP
ejpam-5933	104	11	powerlaw	powerlaw	NOUN
ejpam-5933	104	12	kernel	kernel	NOUN
ejpam-5933	104	13	is	be	AUX
ejpam-5933	104	14	defined	define	VERB
ejpam-5933	104	15	as	as	ADP
ejpam-5933	104	16	:	:	PUNCT
ejpam-5933	104	17	c	c	PROPN
ejpam-5933	104	18	0ia	0ia	NOUN
ejpam-5933	104	19	s	s	X
ejpam-5933	104	20	(	(	PUNCT
ejpam-5933	104	21	ϕ(s	ϕ(s	PROPN
ejpam-5933	104	22	)	)	PUNCT
ejpam-5933	104	23	)	)	PUNCT
ejpam-5933	105	1	=	=	SYM
ejpam-5933	105	2	1	1	NUM
ejpam-5933	105	3	γ(α	γ(α	NOUN
ejpam-5933	105	4	)	)	PUNCT
ejpam-5933	105	5	∫	∫	PROPN
ejpam-5933	105	6	s	s	PART
ejpam-5933	105	7	0	0	NUM
ejpam-5933	105	8	(	(	PUNCT
ejpam-5933	105	9	s−	s−	PROPN
ejpam-5933	105	10	s)a−1ϕ(τ)dτ	s)a−1ϕ(τ)dτ	NOUN
ejpam-5933	105	11	.	.	PUNCT
ejpam-5933	106	1	definition	definition	NOUN
ejpam-5933	106	2	3	3	NUM
ejpam-5933	106	3	.	.	PUNCT
ejpam-5933	106	4	assume	assume	VERB
ejpam-5933	106	5	ϕ(s	ϕ(s	NUM
ejpam-5933	106	6	)	)	PUNCT
ejpam-5933	106	7	∈	∈	PROPN
ejpam-5933	106	8	h1(l1	h1(l1	NOUN
ejpam-5933	106	9	,	,	PUNCT
ejpam-5933	106	10	l2	l2	NOUN
ejpam-5933	106	11	)	)	PUNCT
ejpam-5933	106	12	,	,	PUNCT
ejpam-5933	106	13	for	for	ADP
ejpam-5933	106	14	l2	l2	PROPN
ejpam-5933	106	15	>	>	X
ejpam-5933	106	16	l1	l1	PROPN
ejpam-5933	106	17	,	,	PUNCT
ejpam-5933	106	18	τ	τ	PROPN
ejpam-5933	106	19	∈	∈	PROPN
ejpam-5933	107	1	[	[	X
ejpam-5933	107	2	0	0	NUM
ejpam-5933	107	3	,	,	PUNCT
ejpam-5933	107	4	1	1	NUM
ejpam-5933	107	5	]	]	PUNCT
ejpam-5933	107	6	.	.	PUNCT
ejpam-5933	108	1	the	the	DET
ejpam-5933	108	2	cf	cf	NOUN
ejpam-5933	108	3	fractional	fractional	ADJ
ejpam-5933	108	4	operator	operator	NOUN
ejpam-5933	108	5	is	be	AUX
ejpam-5933	108	6	given	give	VERB
ejpam-5933	108	7	as	as	ADP
ejpam-5933	108	8	cfda	cfda	PROPN
ejpam-5933	108	9	s	s	PROPN
ejpam-5933	108	10	(	(	PUNCT
ejpam-5933	108	11	ϕ(s	ϕ(s	PROPN
ejpam-5933	108	12	)	)	PUNCT
ejpam-5933	108	13	)	)	PUNCT
ejpam-5933	109	1	=	=	PUNCT
ejpam-5933	109	2	m(a	m(a	PROPN
ejpam-5933	109	3	)	)	PUNCT
ejpam-5933	109	4	(	(	PUNCT
ejpam-5933	109	5	1−	1−	NUM
ejpam-5933	109	6	a	a	PRON
ejpam-5933	109	7	)	)	PUNCT
ejpam-5933	109	8	∫	∫	PROPN
ejpam-5933	109	9	l2	l2	PROPN
ejpam-5933	109	10	l1	l1	PROPN
ejpam-5933	109	11	ϕ	ϕ	PROPN
ejpam-5933	110	1	′	′	PROPN
ejpam-5933	110	2	(	(	PUNCT
ejpam-5933	110	3	σ)exp	σ)exp	PROPN
ejpam-5933	110	4	(	(	PUNCT
ejpam-5933	110	5	−	−	PROPN
ejpam-5933	110	6	a	a	DET
ejpam-5933	110	7	s−	s−	PROPN
ejpam-5933	110	8	σ	σ	NUM
ejpam-5933	110	9	1−	1−	NUM
ejpam-5933	110	10	σ	σ	NOUN
ejpam-5933	110	11	)	)	PUNCT
ejpam-5933	110	12	d(σ	d(σ	PROPN
ejpam-5933	110	13	)	)	PUNCT
ejpam-5933	110	14	,	,	PUNCT
ejpam-5933	110	15	0	0	PUNCT
ejpam-5933	110	16	<	<	X
ejpam-5933	110	17	a	a	PRON
ejpam-5933	110	18	<	<	X
ejpam-5933	110	19	1	1	NUM
ejpam-5933	110	20	,	,	PUNCT
ejpam-5933	110	21	r.	r.	PROPN
ejpam-5933	110	22	ramaswamy	ramaswamy	PROPN
ejpam-5933	110	23	et	et	PROPN
ejpam-5933	110	24	al	al	PROPN
ejpam-5933	110	25	.	.	PUNCT
ejpam-5933	110	26	/	/	SYM
ejpam-5933	110	27	eur	eur	PROPN
ejpam-5933	110	28	.	.	PUNCT
ejpam-5933	111	1	j.	j.	PROPN
ejpam-5933	111	2	pure	pure	PROPN
ejpam-5933	111	3	appl	appl	PROPN
ejpam-5933	111	4	.	.	PROPN
ejpam-5933	111	5	math	math	PROPN
ejpam-5933	111	6	,	,	PUNCT
ejpam-5933	111	7	18	18	NUM
ejpam-5933	111	8	(	(	PUNCT
ejpam-5933	111	9	2	2	NUM
ejpam-5933	111	10	)	)	PUNCT
ejpam-5933	111	11	(	(	PUNCT
ejpam-5933	111	12	2025	2025	NUM
ejpam-5933	111	13	)	)	PUNCT
ejpam-5933	111	14	,	,	PUNCT
ejpam-5933	111	15	5933	5933	NUM
ejpam-5933	111	16	6	6	NUM
ejpam-5933	111	17	of	of	ADP
ejpam-5933	111	18	25	25	NUM
ejpam-5933	111	19	=	=	NOUN
ejpam-5933	111	20	dϕ	dϕ	NOUN
ejpam-5933	111	21	ds	ds	ADJ
ejpam-5933	111	22	,	,	PUNCT
ejpam-5933	111	23	a	a	PRON
ejpam-5933	111	24	=	=	SYM
ejpam-5933	111	25	1	1	NUM
ejpam-5933	111	26	,	,	PUNCT
ejpam-5933	111	27	(	(	PUNCT
ejpam-5933	111	28	4	4	X
ejpam-5933	111	29	)	)	PUNCT
ejpam-5933	111	30	where	where	SCONJ
ejpam-5933	111	31	m(a	m(a	NOUN
ejpam-5933	111	32	)	)	PUNCT
ejpam-5933	111	33	=	=	SYM
ejpam-5933	112	1	1	1	NUM
ejpam-5933	112	2	−	−	NOUN
ejpam-5933	112	3	a	a	DET
ejpam-5933	112	4	+	+	NOUN
ejpam-5933	112	5	a	a	DET
ejpam-5933	112	6	γ(a	γ(a	NOUN
ejpam-5933	112	7	)	)	PUNCT
ejpam-5933	112	8	is	be	AUX
ejpam-5933	112	9	a	a	DET
ejpam-5933	112	10	normalization	normalization	NOUN
ejpam-5933	112	11	function	function	NOUN
ejpam-5933	112	12	which	which	PRON
ejpam-5933	112	13	satisfies	satisfy	VERB
ejpam-5933	112	14	the	the	DET
ejpam-5933	112	15	condition	condition	NOUN
ejpam-5933	112	16	,	,	PUNCT
ejpam-5933	112	17	m(0	m(0	PROPN
ejpam-5933	112	18	)	)	PUNCT
ejpam-5933	112	19	=	=	SYM
ejpam-5933	112	20	m(1	m(1	NOUN
ejpam-5933	112	21	)	)	PUNCT
ejpam-5933	112	22	=	=	SYM
ejpam-5933	113	1	1	1	X
ejpam-5933	113	2	.	.	X
ejpam-5933	113	3	definition	definition	NOUN
ejpam-5933	113	4	4	4	NUM
ejpam-5933	113	5	.	.	PUNCT
ejpam-5933	114	1	the	the	DET
ejpam-5933	114	2	integral	integral	ADJ
ejpam-5933	114	3	operator	operator	NOUN
ejpam-5933	114	4	of	of	ADP
ejpam-5933	114	5	fractional	fractional	ADJ
ejpam-5933	114	6	order	order	NOUN
ejpam-5933	114	7	corresponding	correspond	VERB
ejpam-5933	114	8	to	to	ADP
ejpam-5933	114	9	the	the	DET
ejpam-5933	114	10	cf	cf	NOUN
ejpam-5933	114	11	fractional	fractional	ADJ
ejpam-5933	114	12	derivative	derivative	NOUN
ejpam-5933	114	13	is	be	AUX
ejpam-5933	114	14	stated	state	VERB
ejpam-5933	114	15	as	as	SCONJ
ejpam-5933	114	16	follows	follow	VERB
ejpam-5933	114	17	j	j	PROPN
ejpam-5933	114	18	a	a	PRON
ejpam-5933	114	19	s	s	X
ejpam-5933	114	20	(	(	PUNCT
ejpam-5933	114	21	ϕ(s	ϕ(s	PROPN
ejpam-5933	114	22	)	)	PUNCT
ejpam-5933	114	23	)	)	PUNCT
ejpam-5933	115	1	=	=	PUNCT
ejpam-5933	116	1	2(1−	2(1−	X
ejpam-5933	116	2	a	a	X
ejpam-5933	116	3	)	)	PUNCT
ejpam-5933	116	4	(	(	PUNCT
ejpam-5933	116	5	2−	2−	NUM
ejpam-5933	116	6	a)m(a	a)m(a	NOUN
ejpam-5933	116	7	)	)	PUNCT
ejpam-5933	116	8	ϕ(s	ϕ(s	PROPN
ejpam-5933	116	9	)	)	PUNCT
ejpam-5933	117	1	+	+	CCONJ
ejpam-5933	117	2	2a	2a	NUM
ejpam-5933	117	3	(	(	PUNCT
ejpam-5933	117	4	2−	2−	NUM
ejpam-5933	117	5	a)m(a	a)m(a	NOUN
ejpam-5933	117	6	)	)	PUNCT
ejpam-5933	117	7	∫	∫	PROPN
ejpam-5933	117	8	s	s	PART
ejpam-5933	117	9	0	0	PROPN
ejpam-5933	117	10	ϕ(ξ)dξ	ϕ(ξ)dξ	PROPN
ejpam-5933	117	11	,	,	PUNCT
ejpam-5933	117	12	s	s	PART
ejpam-5933	117	13	≥	≥	NOUN
ejpam-5933	117	14	0	0	NUM
ejpam-5933	117	15	.	.	PUNCT
ejpam-5933	118	1	(	(	PUNCT
ejpam-5933	118	2	5	5	X
ejpam-5933	118	3	)	)	PUNCT
ejpam-5933	118	4	definition	definition	NOUN
ejpam-5933	118	5	5	5	NUM
ejpam-5933	118	6	.	.	PUNCT
ejpam-5933	119	1	the	the	DET
ejpam-5933	119	2	laplace	laplace	NOUN
ejpam-5933	119	3	transform	transform	NOUN
ejpam-5933	119	4	of	of	ADP
ejpam-5933	119	5	cfda	cfda	PROPN
ejpam-5933	119	6	sϕ(s	sϕ(s	X
ejpam-5933	119	7	)	)	PUNCT
ejpam-5933	119	8	is	be	AUX
ejpam-5933	119	9	represented	represent	VERB
ejpam-5933	119	10	as	as	SCONJ
ejpam-5933	119	11	follows	follow	VERB
ejpam-5933	119	12	l[cfda	l[cfda	PROPN
ejpam-5933	119	13	sϕ(s	sϕ(s	PROPN
ejpam-5933	119	14	)	)	PUNCT
ejpam-5933	119	15	]	]	PUNCT
ejpam-5933	120	1	=	=	PUNCT
ejpam-5933	120	2	m(a	m(a	NOUN
ejpam-5933	120	3	)	)	PUNCT
ejpam-5933	120	4	κl[−ϕ(s)]−	κl[−ϕ(s)]−	PROPN
ejpam-5933	120	5	ϕ(0	ϕ(0	PROPN
ejpam-5933	120	6	)	)	PUNCT
ejpam-5933	120	7	κ+	κ+	VERB
ejpam-5933	120	8	a(1−	a(1−	NOUN
ejpam-5933	120	9	κ	κ	X
ejpam-5933	120	10	)	)	PUNCT
ejpam-5933	120	11	.	.	PUNCT
ejpam-5933	121	1	(	(	PUNCT
ejpam-5933	121	2	6	6	X
ejpam-5933	121	3	)	)	PUNCT
ejpam-5933	121	4	theorem	theorem	NOUN
ejpam-5933	121	5	1	1	NUM
ejpam-5933	121	6	.	.	PUNCT
ejpam-5933	122	1	[	[	X
ejpam-5933	122	2	44](banach	44](banach	NUM
ejpam-5933	122	3	contraction	contraction	NOUN
ejpam-5933	122	4	theorem	theorem	VERB
ejpam-5933	122	5	)	)	PUNCT
ejpam-5933	122	6	let	let	VERB
ejpam-5933	122	7	(	(	PUNCT
ejpam-5933	122	8	p	p	X
ejpam-5933	122	9	,	,	PUNCT
ejpam-5933	122	10	d	d	NOUN
ejpam-5933	122	11	)	)	PUNCT
ejpam-5933	122	12	be	be	AUX
ejpam-5933	122	13	a	a	DET
ejpam-5933	122	14	complete	complete	ADJ
ejpam-5933	122	15	metric	metric	ADJ
ejpam-5933	122	16	space	space	NOUN
ejpam-5933	122	17	,	,	PUNCT
ejpam-5933	122	18	and	and	CCONJ
ejpam-5933	122	19	let	let	VERB
ejpam-5933	122	20	h	h	NOUN
ejpam-5933	122	21	:	:	PUNCT
ejpam-5933	122	22	p	p	X
ejpam-5933	122	23	→	→	PUNCT
ejpam-5933	122	24	p	p	X
ejpam-5933	122	25	be	be	AUX
ejpam-5933	122	26	a	a	DET
ejpam-5933	122	27	contraction	contraction	NOUN
ejpam-5933	122	28	on	on	ADP
ejpam-5933	122	29	p.	p.	NOUN
ejpam-5933	122	30	then	then	ADV
ejpam-5933	122	31	h	h	PROPN
ejpam-5933	122	32	has	have	VERB
ejpam-5933	122	33	a	a	DET
ejpam-5933	122	34	unique	unique	ADJ
ejpam-5933	122	35	fixed	fix	VERB
ejpam-5933	122	36	point	point	NOUN
ejpam-5933	122	37	,	,	PUNCT
ejpam-5933	122	38	say	say	VERB
ejpam-5933	122	39	u	u	PROPN
ejpam-5933	122	40	∈	∈	PROPN
ejpam-5933	122	41	p.	p.	NOUN
ejpam-5933	122	42	2.2	2.2	NUM
ejpam-5933	122	43	.	.	PUNCT
ejpam-5933	123	1	positivity	positivity	NOUN
ejpam-5933	123	2	of	of	ADP
ejpam-5933	123	3	solutions	solution	NOUN
ejpam-5933	123	4	theorem	theorem	VERB
ejpam-5933	123	5	2	2	NUM
ejpam-5933	123	6	.	.	X
ejpam-5933	123	7	for	for	ADP
ejpam-5933	123	8	non	non	ADJ
ejpam-5933	123	9	-	-	ADJ
ejpam-5933	123	10	negative	negative	ADJ
ejpam-5933	123	11	initial	initial	ADJ
ejpam-5933	123	12	conditions	condition	NOUN
ejpam-5933	123	13	s(0	s(0	PROPN
ejpam-5933	123	14	)	)	PUNCT
ejpam-5933	123	15	,	,	PUNCT
ejpam-5933	123	16	e(0	e(0	NOUN
ejpam-5933	123	17	)	)	PUNCT
ejpam-5933	123	18	,	,	PUNCT
ejpam-5933	123	19	i(0),r(0	i(0),r(0	PROPN
ejpam-5933	123	20	)	)	PUNCT
ejpam-5933	123	21	≥	≥	NOUN
ejpam-5933	123	22	0	0	NUM
ejpam-5933	123	23	,	,	PUNCT
ejpam-5933	123	24	the	the	DET
ejpam-5933	123	25	solutions	solution	NOUN
ejpam-5933	123	26	of	of	ADP
ejpam-5933	123	27	system	system	NOUN
ejpam-5933	123	28	(	(	PUNCT
ejpam-5933	123	29	1	1	X
ejpam-5933	123	30	)	)	PUNCT
ejpam-5933	123	31	remain	remain	VERB
ejpam-5933	123	32	non	non	ADJ
ejpam-5933	123	33	-	-	ADJ
ejpam-5933	123	34	negative	negative	ADJ
ejpam-5933	123	35	for	for	SCONJ
ejpam-5933	123	36	all	all	PRON
ejpam-5933	123	37	s	s	VERB
ejpam-5933	123	38	>	>	X
ejpam-5933	123	39	0	0	X
ejpam-5933	123	40	.	.	PUNCT
ejpam-5933	124	1	proof	proof	NOUN
ejpam-5933	124	2	.	.	PUNCT
ejpam-5933	125	1	we	we	PRON
ejpam-5933	125	2	employ	employ	VERB
ejpam-5933	125	3	the	the	DET
ejpam-5933	125	4	generalized	generalize	VERB
ejpam-5933	125	5	mean	mean	NOUN
ejpam-5933	125	6	value	value	NOUN
ejpam-5933	125	7	theorem	theorem	NOUN
ejpam-5933	125	8	for	for	ADP
ejpam-5933	125	9	caputo	caputo	PROPN
ejpam-5933	125	10	-	-	PUNCT
ejpam-5933	125	11	fabrizio	fabrizio	PROPN
ejpam-5933	125	12	derivatives	derivative	NOUN
ejpam-5933	125	13	:	:	PUNCT
ejpam-5933	126	1			PROPN
ejpam-5933	126	2	cfda	cfda	PROPN
ejpam-5933	126	3	ss	ss	PROPN
ejpam-5933	126	4	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	126	5	s=0	s=0	PROPN
ejpam-5933	126	6	=	=	PUNCT
ejpam-5933	126	7	αn	αn	NOUN
ejpam-5933	127	1	+	+	CCONJ
ejpam-5933	127	2	θr	θr	DET
ejpam-5933	127	3	≥	≥	NOUN
ejpam-5933	127	4	0	0	NUM
ejpam-5933	127	5	,	,	PUNCT
ejpam-5933	127	6	cfda	cfda	PROPN
ejpam-5933	127	7	se	se	PROPN
ejpam-5933	127	8	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	127	9	e=0	e=0	PROPN
ejpam-5933	127	10	=	=	SYM
ejpam-5933	127	11	βsi	βsi	NOUN
ejpam-5933	127	12	≥	≥	NOUN
ejpam-5933	127	13	0	0	NUM
ejpam-5933	127	14	,	,	PUNCT
ejpam-5933	127	15	cfda	cfda	PROPN
ejpam-5933	127	16	si	si	PROPN
ejpam-5933	127	17	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	127	18	i=0	i=0	PROPN
ejpam-5933	127	19	=	=	PUNCT
ejpam-5933	127	20	γe	γe	X
ejpam-5933	127	21	≥	≥	NOUN
ejpam-5933	127	22	0	0	NUM
ejpam-5933	127	23	,	,	PUNCT
ejpam-5933	127	24	cfda	cfda	PROPN
ejpam-5933	127	25	sr	sr	PROPN
ejpam-5933	127	26	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	127	27	r=0	r=0	PROPN
ejpam-5933	127	28	=	=	PUNCT
ejpam-5933	127	29	ωi	ωi	PUNCT
ejpam-5933	127	30	≥	≥	NOUN
ejpam-5933	127	31	0	0	NUM
ejpam-5933	127	32	.	.	PUNCT
ejpam-5933	128	1	since	since	SCONJ
ejpam-5933	128	2	all	all	DET
ejpam-5933	128	3	derivatives	derivative	NOUN
ejpam-5933	128	4	are	be	AUX
ejpam-5933	128	5	non	non	ADJ
ejpam-5933	128	6	-	-	ADJ
ejpam-5933	128	7	negative	negative	ADJ
ejpam-5933	128	8	at	at	ADP
ejpam-5933	128	9	the	the	DET
ejpam-5933	128	10	boundary	boundary	NOUN
ejpam-5933	128	11	of	of	ADP
ejpam-5933	128	12	each	each	DET
ejpam-5933	128	13	compartment	compartment	NOUN
ejpam-5933	128	14	,	,	PUNCT
ejpam-5933	128	15	the	the	DET
ejpam-5933	128	16	solutions	solution	NOUN
ejpam-5933	128	17	remain	remain	VERB
ejpam-5933	128	18	non	non	ADJ
ejpam-5933	128	19	-	-	ADJ
ejpam-5933	128	20	negative	negative	ADJ
ejpam-5933	128	21	for	for	ADP
ejpam-5933	128	22	all	all	PRON
ejpam-5933	128	23	s	s	PART
ejpam-5933	128	24	≥	≥	NOUN
ejpam-5933	128	25	0	0	NUM
ejpam-5933	128	26	.	.	PUNCT
ejpam-5933	129	1	r.	r.	PROPN
ejpam-5933	129	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	129	3	et	et	PROPN
ejpam-5933	129	4	al	al	PROPN
ejpam-5933	129	5	.	.	PUNCT
ejpam-5933	129	6	/	/	SYM
ejpam-5933	129	7	eur	eur	PROPN
ejpam-5933	129	8	.	.	PUNCT
ejpam-5933	130	1	j.	j.	PROPN
ejpam-5933	130	2	pure	pure	PROPN
ejpam-5933	130	3	appl	appl	PROPN
ejpam-5933	130	4	.	.	PROPN
ejpam-5933	130	5	math	math	PROPN
ejpam-5933	130	6	,	,	PUNCT
ejpam-5933	130	7	18	18	NUM
ejpam-5933	130	8	(	(	PUNCT
ejpam-5933	130	9	2	2	NUM
ejpam-5933	130	10	)	)	PUNCT
ejpam-5933	130	11	(	(	PUNCT
ejpam-5933	130	12	2025	2025	NUM
ejpam-5933	130	13	)	)	PUNCT
ejpam-5933	130	14	,	,	PUNCT
ejpam-5933	130	15	5933	5933	NUM
ejpam-5933	130	16	7	7	NUM
ejpam-5933	130	17	of	of	ADP
ejpam-5933	130	18	25	25	NUM
ejpam-5933	130	19	2.3	2.3	NUM
ejpam-5933	130	20	.	.	PUNCT
ejpam-5933	131	1	boundedness	boundedness	NOUN
ejpam-5933	131	2	of	of	ADP
ejpam-5933	131	3	solutions	solution	NOUN
ejpam-5933	131	4	theorem	theorem	VERB
ejpam-5933	131	5	3	3	NUM
ejpam-5933	131	6	(	(	PUNCT
ejpam-5933	131	7	boundedness	boundedness	NOUN
ejpam-5933	131	8	)	)	PUNCT
ejpam-5933	131	9	.	.	PUNCT
ejpam-5933	132	1	the	the	DET
ejpam-5933	132	2	total	total	ADJ
ejpam-5933	132	3	population	population	NOUN
ejpam-5933	132	4	n	n	CCONJ
ejpam-5933	132	5	(	(	PUNCT
ejpam-5933	132	6	s	s	X
ejpam-5933	132	7	)	)	PUNCT
ejpam-5933	132	8	is	be	AUX
ejpam-5933	132	9	bounded	bound	VERB
ejpam-5933	132	10	such	such	ADJ
ejpam-5933	132	11	that	that	PRON
ejpam-5933	132	12	:	:	PUNCT
ejpam-5933	132	13	n	n	X
ejpam-5933	132	14	(	(	PUNCT
ejpam-5933	132	15	s	s	X
ejpam-5933	132	16	)	)	PUNCT
ejpam-5933	133	1	≤	≤	NUM
ejpam-5933	133	2	max	max	NOUN
ejpam-5933	133	3	(	(	PUNCT
ejpam-5933	133	4	n	n	X
ejpam-5933	133	5	(	(	PUNCT
ejpam-5933	133	6	0	0	NUM
ejpam-5933	133	7	)	)	PUNCT
ejpam-5933	133	8	,	,	PUNCT
ejpam-5933	133	9	αn	αn	NOUN
ejpam-5933	133	10	ϕ	ϕ	NOUN
ejpam-5933	133	11	)	)	PUNCT
ejpam-5933	133	12	,	,	PUNCT
ejpam-5933	133	13	∀s	∀s	PROPN
ejpam-5933	133	14	≥	≥	NOUN
ejpam-5933	133	15	0	0	NUM
ejpam-5933	133	16	proof	proof	NOUN
ejpam-5933	133	17	.	.	PUNCT
ejpam-5933	134	1	from	from	ADP
ejpam-5933	134	2	the	the	DET
ejpam-5933	134	3	system	system	NOUN
ejpam-5933	134	4	(	(	PUNCT
ejpam-5933	134	5	1	1	NUM
ejpam-5933	134	6	)	)	PUNCT
ejpam-5933	134	7	,	,	PUNCT
ejpam-5933	134	8	the	the	DET
ejpam-5933	134	9	total	total	ADJ
ejpam-5933	134	10	population	population	NOUN
ejpam-5933	134	11	n	n	CCONJ
ejpam-5933	134	12	(	(	PUNCT
ejpam-5933	134	13	s	s	NOUN
ejpam-5933	134	14	)	)	PUNCT
ejpam-5933	134	15	satisfies	satisfie	NOUN
ejpam-5933	134	16	:	:	PUNCT
ejpam-5933	134	17	cfda	cfda	PROPN
ejpam-5933	134	18	sn	sn	PROPN
ejpam-5933	134	19	=	=	PUNCT
ejpam-5933	134	20	αn	αn	NOUN
ejpam-5933	135	1	−	−	PROPN
ejpam-5933	135	2	ϕn	ϕn	INTJ
ejpam-5933	135	3	−	−	PROPN
ejpam-5933	135	4	ωi	ωi	PROPN
ejpam-5933	135	5	.	.	PUNCT
ejpam-5933	136	1	since	since	SCONJ
ejpam-5933	136	2	−ωi	−ωi	PROPN
ejpam-5933	136	3	≤	≤	PROPN
ejpam-5933	136	4	0	0	NUM
ejpam-5933	136	5	,	,	PUNCT
ejpam-5933	136	6	we	we	PRON
ejpam-5933	136	7	have	have	VERB
ejpam-5933	136	8	the	the	DET
ejpam-5933	136	9	inequality	inequality	NOUN
ejpam-5933	136	10	:	:	PUNCT
ejpam-5933	136	11	cfda	cfda	PROPN
ejpam-5933	136	12	sn	sn	PROPN
ejpam-5933	136	13	≤	≤	PROPN
ejpam-5933	136	14	(	(	PUNCT
ejpam-5933	136	15	α−	α−	ADP
ejpam-5933	136	16	ϕ)n	ϕ)n	X
ejpam-5933	136	17	.	.	PUNCT
ejpam-5933	137	1	using	use	VERB
ejpam-5933	137	2	the	the	DET
ejpam-5933	137	3	caputo	caputo	PROPN
ejpam-5933	137	4	-	-	PUNCT
ejpam-5933	137	5	fabrizio	fabrizio	PROPN
ejpam-5933	137	6	(	(	PUNCT
ejpam-5933	137	7	cf	cf	NOUN
ejpam-5933	137	8	)	)	PUNCT
ejpam-5933	137	9	fractional	fractional	ADJ
ejpam-5933	137	10	derivative	derivative	NOUN
ejpam-5933	137	11	and	and	CCONJ
ejpam-5933	137	12	its	its	PRON
ejpam-5933	137	13	corresponding	corresponding	ADJ
ejpam-5933	137	14	integral	integral	ADJ
ejpam-5933	137	15	operator	operator	NOUN
ejpam-5933	137	16	,	,	PUNCT
ejpam-5933	137	17	the	the	DET
ejpam-5933	137	18	equivalent	equivalent	ADJ
ejpam-5933	137	19	integral	integral	ADJ
ejpam-5933	137	20	form	form	NOUN
ejpam-5933	137	21	is	be	AUX
ejpam-5933	137	22	:	:	PUNCT
ejpam-5933	137	23	n	n	X
ejpam-5933	137	24	(	(	PUNCT
ejpam-5933	137	25	s)−n	s)−n	X
ejpam-5933	137	26	(	(	PUNCT
ejpam-5933	137	27	0	0	NUM
ejpam-5933	137	28	)	)	PUNCT
ejpam-5933	137	29	=	=	PUNCT
ejpam-5933	138	1	2(1−	2(1−	NUM
ejpam-5933	138	2	a	a	X
ejpam-5933	138	3	)	)	PUNCT
ejpam-5933	138	4	(	(	PUNCT
ejpam-5933	138	5	2−	2−	NUM
ejpam-5933	138	6	a)m(a	a)m(a	NOUN
ejpam-5933	138	7	)	)	PUNCT
ejpam-5933	138	8	(	(	PUNCT
ejpam-5933	138	9	α−	α−	ADP
ejpam-5933	138	10	ϕ)n	ϕ)n	X
ejpam-5933	138	11	+	+	CCONJ
ejpam-5933	138	12	2a	2a	NUM
ejpam-5933	138	13	(	(	PUNCT
ejpam-5933	138	14	2−	2−	NUM
ejpam-5933	138	15	a)m(a	a)m(a	NOUN
ejpam-5933	138	16	)	)	PUNCT
ejpam-5933	138	17	∫	∫	PROPN
ejpam-5933	138	18	s	s	PART
ejpam-5933	138	19	0	0	NUM
ejpam-5933	138	20	(	(	PUNCT
ejpam-5933	138	21	α−	α−	ADP
ejpam-5933	138	22	ϕ)n	ϕ)n	X
ejpam-5933	138	23	(	(	PUNCT
ejpam-5933	138	24	ξ)dξ	ξ)dξ	ADJ
ejpam-5933	138	25	.	.	NOUN
ejpam-5933	138	26	substituting	substitute	VERB
ejpam-5933	138	27	m(a	m(a	NOUN
ejpam-5933	138	28	)	)	PUNCT
ejpam-5933	138	29	=	=	SYM
ejpam-5933	139	1	1−	1−	NUM
ejpam-5933	139	2	a+	a+	PUNCT
ejpam-5933	139	3	a	a	DET
ejpam-5933	139	4	γ(a	γ(a	PROPN
ejpam-5933	139	5	)	)	PUNCT
ejpam-5933	139	6	,	,	PUNCT
ejpam-5933	139	7	this	this	PRON
ejpam-5933	139	8	becomes	become	VERB
ejpam-5933	139	9	:	:	PUNCT
ejpam-5933	139	10	n	n	CCONJ
ejpam-5933	139	11	(	(	PUNCT
ejpam-5933	139	12	s)−n	s)−n	X
ejpam-5933	139	13	(	(	PUNCT
ejpam-5933	139	14	0	0	NUM
ejpam-5933	139	15	)	)	PUNCT
ejpam-5933	139	16	=	=	SYM
ejpam-5933	140	1	2(1−	2(1−	NUM
ejpam-5933	140	2	a)(α−	a)(α−	NOUN
ejpam-5933	140	3	ϕ)n	ϕ)n	X
ejpam-5933	140	4	(	(	PUNCT
ejpam-5933	140	5	2−	2−	NUM
ejpam-5933	140	6	a	a	NOUN
ejpam-5933	140	7	)	)	PUNCT
ejpam-5933	140	8	(	(	PUNCT
ejpam-5933	140	9	1−	1−	NUM
ejpam-5933	140	10	a+	a+	PUNCT
ejpam-5933	140	11	a	a	DET
ejpam-5933	140	12	γ(a	γ(a	PROPN
ejpam-5933	140	13	)	)	PUNCT
ejpam-5933	140	14	)	)	PUNCT
ejpam-5933	141	1	+	+	CCONJ
ejpam-5933	141	2	2a(α−	2a(α−	NUM
ejpam-5933	141	3	ϕ	ϕ	NOUN
ejpam-5933	141	4	)	)	PUNCT
ejpam-5933	141	5	(	(	PUNCT
ejpam-5933	141	6	2−	2−	NUM
ejpam-5933	141	7	a	a	NOUN
ejpam-5933	141	8	)	)	PUNCT
ejpam-5933	141	9	(	(	PUNCT
ejpam-5933	141	10	1−	1−	NUM
ejpam-5933	141	11	a+	a+	PUNCT
ejpam-5933	141	12	a	a	DET
ejpam-5933	141	13	γ(a	γ(a	PROPN
ejpam-5933	141	14	)	)	PUNCT
ejpam-5933	141	15	)	)	PUNCT
ejpam-5933	142	1	∫	∫	PROPN
ejpam-5933	142	2	s	s	PART
ejpam-5933	142	3	0	0	NUM
ejpam-5933	142	4	n	n	PROPN
ejpam-5933	142	5	(	(	PUNCT
ejpam-5933	142	6	ξ)dξ	ξ)dξ	PROPN
ejpam-5933	142	7	.	.	PUNCT
ejpam-5933	143	1	so	so	SCONJ
ejpam-5933	143	2	the	the	DET
ejpam-5933	143	3	equation	equation	NOUN
ejpam-5933	143	4	simplifies	simplify	VERB
ejpam-5933	143	5	to	to	ADP
ejpam-5933	143	6	:	:	PUNCT
ejpam-5933	143	7	n	n	X
ejpam-5933	143	8	(	(	PUNCT
ejpam-5933	143	9	s)−n	s)−n	X
ejpam-5933	143	10	(	(	PUNCT
ejpam-5933	143	11	0	0	NUM
ejpam-5933	143	12	)	)	PUNCT
ejpam-5933	143	13	=	=	PUNCT
ejpam-5933	144	1	κ(a)(1−	κ(a)(1−	VERB
ejpam-5933	144	2	a)(α−	a)(α−	PROPN
ejpam-5933	144	3	ϕ)n	ϕ)n	PUNCT
ejpam-5933	145	1	+	+	CCONJ
ejpam-5933	145	2	κ(a)a(α−	κ(a)a(α−	ADJ
ejpam-5933	145	3	ϕ	ϕ	NOUN
ejpam-5933	145	4	)	)	PUNCT
ejpam-5933	145	5	∫	∫	PROPN
ejpam-5933	145	6	s	s	PART
ejpam-5933	145	7	0	0	NUM
ejpam-5933	145	8	n	n	PROPN
ejpam-5933	145	9	(	(	PUNCT
ejpam-5933	145	10	ξ)dξ	ξ)dξ	PROPN
ejpam-5933	145	11	.	.	PROPN
ejpam-5933	145	12	(	(	PUNCT
ejpam-5933	145	13	7	7	NUM
ejpam-5933	145	14	)	)	PUNCT
ejpam-5933	146	1	where	where	SCONJ
ejpam-5933	146	2	,	,	PUNCT
ejpam-5933	146	3	κ(a	κ(a	PROPN
ejpam-5933	146	4	)	)	PUNCT
ejpam-5933	146	5	=	=	SYM
ejpam-5933	146	6	2	2	NUM
ejpam-5933	146	7	(	(	PUNCT
ejpam-5933	146	8	2−	2−	NUM
ejpam-5933	146	9	a	a	NOUN
ejpam-5933	146	10	)	)	PUNCT
ejpam-5933	146	11	(	(	PUNCT
ejpam-5933	146	12	1−	1−	NUM
ejpam-5933	146	13	a+	a+	PUNCT
ejpam-5933	146	14	a	a	DET
ejpam-5933	146	15	γ(a	γ(a	PROPN
ejpam-5933	146	16	)	)	PUNCT
ejpam-5933	146	17	)	)	PUNCT
ejpam-5933	146	18	,	,	PUNCT
ejpam-5933	146	19	case	case	NOUN
ejpam-5933	146	20	1	1	NUM
ejpam-5933	146	21	:	:	PUNCT
ejpam-5933	146	22	α	α	PROPN
ejpam-5933	146	23	≤	≤	NOUN
ejpam-5933	146	24	ϕ	ϕ	NOUN
ejpam-5933	146	25	in	in	ADP
ejpam-5933	146	26	(	(	PUNCT
ejpam-5933	146	27	7	7	NUM
ejpam-5933	146	28	)	)	PUNCT
ejpam-5933	146	29	if	if	SCONJ
ejpam-5933	146	30	α	α	PRON
ejpam-5933	146	31	≤	≤	PROPN
ejpam-5933	146	32	ϕ	ϕ	NOUN
ejpam-5933	146	33	,	,	PUNCT
ejpam-5933	146	34	then	then	ADV
ejpam-5933	146	35	(	(	PUNCT
ejpam-5933	146	36	α−	α−	ADP
ejpam-5933	146	37	ϕ	ϕ	NOUN
ejpam-5933	146	38	)	)	PUNCT
ejpam-5933	146	39	≤	≤	NOUN
ejpam-5933	146	40	0	0	NUM
ejpam-5933	146	41	.	.	PUNCT
ejpam-5933	147	1	the	the	DET
ejpam-5933	147	2	right	right	ADJ
ejpam-5933	147	3	-	-	PUNCT
ejpam-5933	147	4	hand	hand	NOUN
ejpam-5933	147	5	side	side	NOUN
ejpam-5933	147	6	of	of	ADP
ejpam-5933	147	7	the	the	DET
ejpam-5933	147	8	inequality	inequality	NOUN
ejpam-5933	147	9	:	:	PUNCT
ejpam-5933	147	10	cfda	cfda	PROPN
ejpam-5933	147	11	sn	sn	PROPN
ejpam-5933	147	12	≤	≤	PROPN
ejpam-5933	147	13	(	(	PUNCT
ejpam-5933	147	14	α−	α−	ADP
ejpam-5933	147	15	ϕ)n	ϕ)n	X
ejpam-5933	147	16	is	be	AUX
ejpam-5933	147	17	non	non	ADJ
ejpam-5933	147	18	-	-	ADJ
ejpam-5933	147	19	positive	positive	ADJ
ejpam-5933	147	20	.	.	PUNCT
ejpam-5933	148	1	thus	thus	ADV
ejpam-5933	148	2	,	,	PUNCT
ejpam-5933	148	3	n	n	CCONJ
ejpam-5933	148	4	(	(	PUNCT
ejpam-5933	148	5	s	s	X
ejpam-5933	148	6	)	)	PUNCT
ejpam-5933	148	7	can	can	AUX
ejpam-5933	148	8	not	not	PART
ejpam-5933	148	9	increase	increase	VERB
ejpam-5933	148	10	beyond	beyond	ADP
ejpam-5933	148	11	its	its	PRON
ejpam-5933	148	12	initial	initial	ADJ
ejpam-5933	148	13	value	value	NOUN
ejpam-5933	148	14	:	:	PUNCT
ejpam-5933	148	15	n	n	CCONJ
ejpam-5933	148	16	(	(	PUNCT
ejpam-5933	148	17	s	s	NOUN
ejpam-5933	148	18	)	)	PUNCT
ejpam-5933	148	19	≤	≤	NOUN
ejpam-5933	148	20	n	n	CCONJ
ejpam-5933	148	21	(	(	PUNCT
ejpam-5933	148	22	0	0	NUM
ejpam-5933	148	23	)	)	PUNCT
ejpam-5933	148	24	,	,	PUNCT
ejpam-5933	148	25	∀s	∀s	PROPN
ejpam-5933	148	26	≥	≥	PROPN
ejpam-5933	148	27	0	0	NUM
ejpam-5933	148	28	.	.	PUNCT
ejpam-5933	149	1	r.	r.	PROPN
ejpam-5933	149	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	149	3	et	et	PROPN
ejpam-5933	149	4	al	al	PROPN
ejpam-5933	149	5	.	.	PUNCT
ejpam-5933	149	6	/	/	SYM
ejpam-5933	149	7	eur	eur	PROPN
ejpam-5933	149	8	.	.	PUNCT
ejpam-5933	150	1	j.	j.	PROPN
ejpam-5933	150	2	pure	pure	PROPN
ejpam-5933	150	3	appl	appl	PROPN
ejpam-5933	150	4	.	.	PROPN
ejpam-5933	150	5	math	math	PROPN
ejpam-5933	150	6	,	,	PUNCT
ejpam-5933	150	7	18	18	NUM
ejpam-5933	150	8	(	(	PUNCT
ejpam-5933	150	9	2	2	NUM
ejpam-5933	150	10	)	)	PUNCT
ejpam-5933	150	11	(	(	PUNCT
ejpam-5933	150	12	2025	2025	NUM
ejpam-5933	150	13	)	)	PUNCT
ejpam-5933	150	14	,	,	PUNCT
ejpam-5933	150	15	5933	5933	NUM
ejpam-5933	150	16	8	8	NUM
ejpam-5933	150	17	of	of	ADP
ejpam-5933	150	18	25	25	NUM
ejpam-5933	150	19	case	case	NOUN
ejpam-5933	150	20	2	2	NUM
ejpam-5933	150	21	:	:	PUNCT
ejpam-5933	150	22	α	α	X
ejpam-5933	150	23	>	>	X
ejpam-5933	150	24	ϕ	ϕ	X
ejpam-5933	150	25	in	in	ADP
ejpam-5933	150	26	(	(	PUNCT
ejpam-5933	150	27	7	7	NUM
ejpam-5933	150	28	)	)	PUNCT
ejpam-5933	151	1	if	if	SCONJ
ejpam-5933	151	2	α	α	PROPN
ejpam-5933	151	3	>	>	X
ejpam-5933	151	4	ϕ	ϕ	NOUN
ejpam-5933	151	5	,	,	PUNCT
ejpam-5933	151	6	then	then	ADV
ejpam-5933	151	7	(	(	PUNCT
ejpam-5933	151	8	α−	α−	ADP
ejpam-5933	151	9	ϕ	ϕ	NOUN
ejpam-5933	151	10	)	)	PUNCT
ejpam-5933	151	11	>	>	X
ejpam-5933	151	12	0	0	X
ejpam-5933	151	13	.	.	PUNCT
ejpam-5933	151	14	rearrange	rearrange	VERB
ejpam-5933	151	15	the	the	DET
ejpam-5933	151	16	simplified	simplified	ADJ
ejpam-5933	151	17	equation	equation	NOUN
ejpam-5933	151	18	:	:	PUNCT
ejpam-5933	151	19	n	n	X
ejpam-5933	151	20	(	(	PUNCT
ejpam-5933	151	21	s)−n	s)−n	X
ejpam-5933	151	22	(	(	PUNCT
ejpam-5933	151	23	0	0	NUM
ejpam-5933	151	24	)	)	PUNCT
ejpam-5933	151	25	=	=	PUNCT
ejpam-5933	152	1	κ(a)(1−	κ(a)(1−	VERB
ejpam-5933	152	2	a)(α−	a)(α−	PROPN
ejpam-5933	152	3	ϕ)n	ϕ)n	PUNCT
ejpam-5933	153	1	+	+	CCONJ
ejpam-5933	153	2	κ(a)a(α−	κ(a)a(α−	ADJ
ejpam-5933	153	3	ϕ	ϕ	NOUN
ejpam-5933	153	4	)	)	PUNCT
ejpam-5933	153	5	∫	∫	PROPN
ejpam-5933	153	6	s	s	PART
ejpam-5933	153	7	0	0	NUM
ejpam-5933	153	8	n	n	PROPN
ejpam-5933	153	9	(	(	PUNCT
ejpam-5933	153	10	ξ)dξ	ξ)dξ	PROPN
ejpam-5933	153	11	.	.	PROPN
ejpam-5933	153	12	let	let	VERB
ejpam-5933	153	13	u	u	PRON
ejpam-5933	153	14	=	=	NOUN
ejpam-5933	153	15	1−	1−	NUM
ejpam-5933	153	16	κ(a)(1−	κ(a)(1−	NUM
ejpam-5933	153	17	a)(α−	a)(α−	PROPN
ejpam-5933	153	18	ϕ	ϕ	NOUN
ejpam-5933	153	19	)	)	PUNCT
ejpam-5933	153	20	,	,	PUNCT
ejpam-5933	153	21	assuming	assume	VERB
ejpam-5933	153	22	k	k	PROPN
ejpam-5933	153	23	>	>	X
ejpam-5933	153	24	0	0	PUNCT
ejpam-5933	154	1	(	(	PUNCT
ejpam-5933	154	2	valid	valid	ADJ
ejpam-5933	154	3	for	for	ADP
ejpam-5933	154	4	small	small	ADJ
ejpam-5933	154	5	enough	enough	ADV
ejpam-5933	154	6	a	a	PRON
ejpam-5933	154	7	)	)	PUNCT
ejpam-5933	154	8	.	.	PUNCT
ejpam-5933	155	1	dividing	divide	VERB
ejpam-5933	155	2	through	through	ADP
ejpam-5933	155	3	by	by	ADP
ejpam-5933	155	4	k	k	PROPN
ejpam-5933	155	5	,	,	PUNCT
ejpam-5933	155	6	we	we	PRON
ejpam-5933	155	7	get	get	VERB
ejpam-5933	155	8	:	:	PUNCT
ejpam-5933	155	9	n	n	CCONJ
ejpam-5933	155	10	(	(	PUNCT
ejpam-5933	155	11	s	s	NOUN
ejpam-5933	155	12	)	)	PUNCT
ejpam-5933	155	13	≤	≤	NOUN
ejpam-5933	155	14	n	n	CCONJ
ejpam-5933	155	15	(	(	PUNCT
ejpam-5933	155	16	0	0	NUM
ejpam-5933	155	17	)	)	PUNCT
ejpam-5933	155	18	u	u	NOUN
ejpam-5933	155	19	+	+	ADP
ejpam-5933	155	20	κ(a)a(α−	κ(a)a(α−	ADJ
ejpam-5933	155	21	ϕ	ϕ	NOUN
ejpam-5933	155	22	)	)	PUNCT
ejpam-5933	155	23	u	u	NOUN
ejpam-5933	155	24	∫	∫	PROPN
ejpam-5933	155	25	s	s	PART
ejpam-5933	155	26	0	0	NUM
ejpam-5933	155	27	n	n	PROPN
ejpam-5933	155	28	(	(	PUNCT
ejpam-5933	155	29	ξ)dξ	ξ)dξ	PROPN
ejpam-5933	155	30	.	.	PROPN
ejpam-5933	155	31	applying	apply	VERB
ejpam-5933	155	32	a	a	DET
ejpam-5933	155	33	grönwall	grönwall	NOUN
ejpam-5933	155	34	-	-	PUNCT
ejpam-5933	155	35	type	type	NOUN
ejpam-5933	155	36	inequality	inequality	NOUN
ejpam-5933	155	37	,	,	PUNCT
ejpam-5933	155	38	this	this	DET
ejpam-5933	155	39	yields	yield	NOUN
ejpam-5933	155	40	:	:	PUNCT
ejpam-5933	155	41	n	n	CCONJ
ejpam-5933	155	42	(	(	PUNCT
ejpam-5933	155	43	s	s	NOUN
ejpam-5933	155	44	)	)	PUNCT
ejpam-5933	155	45	≤	≤	NOUN
ejpam-5933	155	46	n	n	CCONJ
ejpam-5933	155	47	(	(	PUNCT
ejpam-5933	155	48	0	0	NUM
ejpam-5933	155	49	)	)	PUNCT
ejpam-5933	155	50	exp	exp	NOUN
ejpam-5933	155	51	(	(	PUNCT
ejpam-5933	155	52	κ(a)a(α−	κ(a)a(α−	ADJ
ejpam-5933	155	53	ϕ	ϕ	NOUN
ejpam-5933	155	54	)	)	PUNCT
ejpam-5933	155	55	u	u	NOUN
ejpam-5933	155	56	s	s	NOUN
ejpam-5933	155	57	)	)	PUNCT
ejpam-5933	155	58	.	.	PUNCT
ejpam-5933	156	1	as	as	SCONJ
ejpam-5933	156	2	s	s	PROPN
ejpam-5933	156	3	→	→	SYM
ejpam-5933	156	4	∞	∞	PROPN
ejpam-5933	156	5	,	,	PUNCT
ejpam-5933	156	6	n	n	CCONJ
ejpam-5933	156	7	(	(	PUNCT
ejpam-5933	156	8	s	s	X
ejpam-5933	156	9	)	)	PUNCT
ejpam-5933	156	10	converges	converge	VERB
ejpam-5933	156	11	to	to	ADP
ejpam-5933	156	12	a	a	DET
ejpam-5933	156	13	steady	steady	ADJ
ejpam-5933	156	14	state	state	NOUN
ejpam-5933	156	15	determined	determine	VERB
ejpam-5933	156	16	by	by	ADP
ejpam-5933	156	17	the	the	DET
ejpam-5933	156	18	balance	balance	NOUN
ejpam-5933	156	19	between	between	ADP
ejpam-5933	156	20	growth	growth	NOUN
ejpam-5933	156	21	(	(	PUNCT
ejpam-5933	156	22	α	α	NOUN
ejpam-5933	156	23	)	)	PUNCT
ejpam-5933	156	24	and	and	CCONJ
ejpam-5933	156	25	decay	decay	NOUN
ejpam-5933	156	26	(	(	PUNCT
ejpam-5933	156	27	ϕ	ϕ	NOUN
ejpam-5933	156	28	):	):	PUNCT
ejpam-5933	156	29	n	n	X
ejpam-5933	156	30	(	(	PUNCT
ejpam-5933	156	31	s	s	NOUN
ejpam-5933	156	32	)	)	PUNCT
ejpam-5933	156	33	≤	≤	NUM
ejpam-5933	156	34	max	max	NOUN
ejpam-5933	156	35	(	(	PUNCT
ejpam-5933	156	36	n	n	X
ejpam-5933	156	37	(	(	PUNCT
ejpam-5933	156	38	0	0	NUM
ejpam-5933	156	39	)	)	PUNCT
ejpam-5933	156	40	,	,	PUNCT
ejpam-5933	156	41	αn	αn	NOUN
ejpam-5933	156	42	ϕ	ϕ	NOUN
ejpam-5933	156	43	)	)	PUNCT
ejpam-5933	156	44	.	.	PUNCT
ejpam-5933	157	1	this	this	PRON
ejpam-5933	157	2	completes	complete	VERB
ejpam-5933	157	3	the	the	DET
ejpam-5933	157	4	proof	proof	NOUN
ejpam-5933	157	5	.	.	PUNCT
ejpam-5933	158	1	2.4	2.4	NUM
ejpam-5933	158	2	.	.	PUNCT
ejpam-5933	158	3	existence	existence	NOUN
ejpam-5933	158	4	and	and	CCONJ
ejpam-5933	158	5	uniqueness	uniqueness	NOUN
ejpam-5933	158	6	of	of	ADP
ejpam-5933	158	7	solutions	solution	NOUN
ejpam-5933	158	8	of	of	ADP
ejpam-5933	158	9	the	the	DET
ejpam-5933	158	10	cf	cf	NOUN
ejpam-5933	158	11	model	model	NOUN
ejpam-5933	158	12	this	this	DET
ejpam-5933	158	13	section	section	NOUN
ejpam-5933	158	14	proves	prove	VERB
ejpam-5933	158	15	the	the	DET
ejpam-5933	158	16	existence	existence	NOUN
ejpam-5933	158	17	and	and	CCONJ
ejpam-5933	158	18	uniqueness	uniqueness	NOUN
ejpam-5933	158	19	of	of	ADP
ejpam-5933	158	20	the	the	DET
ejpam-5933	158	21	solution	solution	NOUN
ejpam-5933	158	22	to	to	ADP
ejpam-5933	158	23	the	the	DET
ejpam-5933	158	24	proposed	propose	VERB
ejpam-5933	158	25	model	model	NOUN
ejpam-5933	158	26	(	(	PUNCT
ejpam-5933	158	27	1	1	X
ejpam-5933	158	28	)	)	PUNCT
ejpam-5933	158	29	using	use	VERB
ejpam-5933	158	30	fixed	fix	VERB
ejpam-5933	158	31	point	point	NOUN
ejpam-5933	158	32	theorem	theorem	VERB
ejpam-5933	158	33	.	.	PROPN
ejpam-5933	158	34	to	to	PART
ejpam-5933	158	35	facilitate	facilitate	VERB
ejpam-5933	158	36	this	this	DET
ejpam-5933	158	37	analysis	analysis	NOUN
ejpam-5933	158	38	,	,	PUNCT
ejpam-5933	158	39	model	model	NOUN
ejpam-5933	158	40	(	(	PUNCT
ejpam-5933	158	41	1	1	X
ejpam-5933	158	42	)	)	PUNCT
ejpam-5933	158	43	can	can	AUX
ejpam-5933	158	44	be	be	AUX
ejpam-5933	158	45	expressed	express	VERB
ejpam-5933	158	46	as	as	SCONJ
ejpam-5933	158	47	follows	follow	VERB
ejpam-5933	158	48	:	:	PUNCT
ejpam-5933	158	49			NOUN
ejpam-5933	158	50	cfda	cfda	PROPN
ejpam-5933	158	51	ss	ss	NOUN
ejpam-5933	159	1	=	=	PUNCT
ejpam-5933	159	2	k1(s	k1(s	PROPN
ejpam-5933	159	3	,	,	PUNCT
ejpam-5933	159	4	s	s	PART
ejpam-5933	159	5	)	)	PUNCT
ejpam-5933	159	6	,	,	PUNCT
ejpam-5933	159	7	cfda	cfda	PROPN
ejpam-5933	159	8	se	se	PROPN
ejpam-5933	160	1	=	=	PROPN
ejpam-5933	160	2	k2(s	k2(s	PROPN
ejpam-5933	160	3	,	,	PUNCT
ejpam-5933	160	4	e	e	NOUN
ejpam-5933	160	5	)	)	PUNCT
ejpam-5933	160	6	,	,	PUNCT
ejpam-5933	160	7	cfda	cfda	PROPN
ejpam-5933	160	8	si	si	PROPN
ejpam-5933	160	9	=	=	SYM
ejpam-5933	160	10	k3(s	k3(s	PROPN
ejpam-5933	160	11	,	,	PUNCT
ejpam-5933	160	12	i	i	PROPN
ejpam-5933	160	13	)	)	PUNCT
ejpam-5933	160	14	,	,	PUNCT
ejpam-5933	160	15	cfda	cfda	PROPN
ejpam-5933	160	16	sr	sr	PROPN
ejpam-5933	161	1	=	=	SYM
ejpam-5933	161	2	k4(s	k4(s	PROPN
ejpam-5933	161	3	,	,	PUNCT
ejpam-5933	161	4	r	r	NOUN
ejpam-5933	161	5	)	)	PUNCT
ejpam-5933	161	6	,	,	PUNCT
ejpam-5933	161	7	(	(	PUNCT
ejpam-5933	161	8	8)	8)	NUM
ejpam-5933	161	9	where	where	SCONJ
ejpam-5933	161	10			PROPN
ejpam-5933	161	11	k1(s	k1(s	PROPN
ejpam-5933	161	12	,	,	PUNCT
ejpam-5933	161	13	s	s	PART
ejpam-5933	161	14	)	)	PUNCT
ejpam-5933	161	15	=	=	SYM
ejpam-5933	161	16	αn	αn	NOUN
ejpam-5933	161	17	−	−	NOUN
ejpam-5933	161	18	βsi	βsi	NOUN
ejpam-5933	161	19	+	+	CCONJ
ejpam-5933	161	20	θr−	θr−	NUM
ejpam-5933	161	21	ϕs	ϕs	PROPN
ejpam-5933	161	22	,	,	PUNCT
ejpam-5933	161	23	k2(s	k2(s	PROPN
ejpam-5933	161	24	,	,	PUNCT
ejpam-5933	161	25	e	e	NOUN
ejpam-5933	161	26	)	)	PUNCT
ejpam-5933	161	27	=	=	SYM
ejpam-5933	161	28	βsi	βsi	NOUN
ejpam-5933	161	29	−	−	NOUN
ejpam-5933	161	30	γe	γe	INTJ
ejpam-5933	161	31	−	−	PROPN
ejpam-5933	161	32	ϕe	ϕe	PROPN
ejpam-5933	161	33	,	,	PUNCT
ejpam-5933	161	34	k3(s	k3(s	PROPN
ejpam-5933	161	35	,	,	PUNCT
ejpam-5933	161	36	i	i	PROPN
ejpam-5933	161	37	)	)	PUNCT
ejpam-5933	162	1	=	=	PUNCT
ejpam-5933	162	2	γe	γe	NUM
ejpam-5933	162	3	−	−	PROPN
ejpam-5933	162	4	ωi	ωi	INTJ
ejpam-5933	162	5	−	−	PUNCT
ejpam-5933	162	6	ϕi	ϕi	ADP
ejpam-5933	162	7	,	,	PUNCT
ejpam-5933	162	8	k4(s	k4(s	NOUN
ejpam-5933	162	9	,	,	PUNCT
ejpam-5933	162	10	r	r	NOUN
ejpam-5933	162	11	)	)	PUNCT
ejpam-5933	162	12	=	=	SYM
ejpam-5933	162	13	ωi	ωi	PUNCT
ejpam-5933	162	14	−	−	PROPN
ejpam-5933	162	15	θr−	θr−	NUM
ejpam-5933	162	16	ϕr	ϕr	NOUN
ejpam-5933	162	17	.	.	PUNCT
ejpam-5933	163	1	(	(	PUNCT
ejpam-5933	163	2	9	9	X
ejpam-5933	163	3	)	)	PUNCT
ejpam-5933	163	4	r.	r.	PROPN
ejpam-5933	163	5	ramaswamy	ramaswamy	PROPN
ejpam-5933	163	6	et	et	PROPN
ejpam-5933	163	7	al	al	PROPN
ejpam-5933	163	8	.	.	PUNCT
ejpam-5933	163	9	/	/	SYM
ejpam-5933	163	10	eur	eur	PROPN
ejpam-5933	163	11	.	.	PUNCT
ejpam-5933	164	1	j.	j.	PROPN
ejpam-5933	164	2	pure	pure	PROPN
ejpam-5933	164	3	appl	appl	PROPN
ejpam-5933	164	4	.	.	PROPN
ejpam-5933	164	5	math	math	PROPN
ejpam-5933	164	6	,	,	PUNCT
ejpam-5933	164	7	18	18	NUM
ejpam-5933	164	8	(	(	PUNCT
ejpam-5933	164	9	2	2	NUM
ejpam-5933	164	10	)	)	PUNCT
ejpam-5933	164	11	(	(	PUNCT
ejpam-5933	164	12	2025	2025	NUM
ejpam-5933	164	13	)	)	PUNCT
ejpam-5933	164	14	,	,	PUNCT
ejpam-5933	164	15	5933	5933	NUM
ejpam-5933	164	16	9	9	NUM
ejpam-5933	164	17	of	of	ADP
ejpam-5933	164	18	25	25	NUM
ejpam-5933	164	19	applying	apply	VERB
ejpam-5933	164	20	fractional	fractional	ADJ
ejpam-5933	164	21	integral	integral	ADJ
ejpam-5933	164	22	operator	operator	NOUN
ejpam-5933	164	23	given	give	VERB
ejpam-5933	164	24	in	in	ADP
ejpam-5933	164	25	(	(	PUNCT
ejpam-5933	164	26	5	5	NUM
ejpam-5933	164	27	)	)	PUNCT
ejpam-5933	164	28	,	,	PUNCT
ejpam-5933	164	29	system	system	NOUN
ejpam-5933	164	30	(	(	PUNCT
ejpam-5933	164	31	8)	8)	NUM
ejpam-5933	164	32	reduces	reduce	VERB
ejpam-5933	164	33	to	to	ADP
ejpam-5933	164	34	the	the	DET
ejpam-5933	164	35	volterra	volterra	NOUN
ejpam-5933	164	36	integral	integral	ADJ
ejpam-5933	164	37	type	type	NOUN
ejpam-5933	164	38	of	of	ADP
ejpam-5933	164	39	order	order	NOUN
ejpam-5933	164	40	0	0	PUNCT
ejpam-5933	164	41	<	<	X
ejpam-5933	164	42	a	a	DET
ejpam-5933	164	43	<	<	X
ejpam-5933	164	44	1	1	NUM
ejpam-5933	164	45	given	give	VERB
ejpam-5933	164	46	by	by	PROPN
ejpam-5933	164	47	s(s	s(s	PROPN
ejpam-5933	164	48	)	)	PUNCT
ejpam-5933	164	49	=	=	SYM
ejpam-5933	164	50	s(0	s(0	PROPN
ejpam-5933	164	51	)	)	PUNCT
ejpam-5933	164	52	+	+	NUM
ejpam-5933	164	53	2(1−a	2(1−a	NUM
ejpam-5933	164	54	)	)	PUNCT
ejpam-5933	164	55	(	(	PUNCT
ejpam-5933	164	56	2−a)m(a)k1(s	2−a)m(a)k1(s	NUM
ejpam-5933	164	57	,	,	PUNCT
ejpam-5933	164	58	s	s	PART
ejpam-5933	164	59	)	)	PUNCT
ejpam-5933	164	60	+	+	NUM
ejpam-5933	164	61	2a	2a	NUM
ejpam-5933	164	62	(	(	PUNCT
ejpam-5933	164	63	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	164	64	)	)	PUNCT
ejpam-5933	164	65	∫	∫	PROPN
ejpam-5933	164	66	s	s	PART
ejpam-5933	164	67	0	0	NUM
ejpam-5933	164	68	k1(ξ	k1(ξ	NOUN
ejpam-5933	164	69	,	,	PUNCT
ejpam-5933	164	70	s)dξ	s)dξ	PROPN
ejpam-5933	164	71	,	,	PUNCT
ejpam-5933	164	72	e(s	e(s	PROPN
ejpam-5933	164	73	)	)	PUNCT
ejpam-5933	164	74	=	=	PUNCT
ejpam-5933	165	1	e(0	e(0	NOUN
ejpam-5933	165	2	)	)	PUNCT
ejpam-5933	165	3	+	+	CCONJ
ejpam-5933	165	4	2(1−a	2(1−a	NOUN
ejpam-5933	165	5	)	)	PUNCT
ejpam-5933	165	6	(	(	PUNCT
ejpam-5933	165	7	2−a)m(a)k2(s	2−a)m(a)k2(s	NOUN
ejpam-5933	165	8	,	,	PUNCT
ejpam-5933	165	9	e	e	NOUN
ejpam-5933	165	10	)	)	PUNCT
ejpam-5933	166	1	+	+	NUM
ejpam-5933	166	2	2a	2a	NUM
ejpam-5933	166	3	(	(	PUNCT
ejpam-5933	166	4	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	166	5	)	)	PUNCT
ejpam-5933	166	6	∫	∫	PROPN
ejpam-5933	166	7	s	s	PART
ejpam-5933	166	8	0	0	PROPN
ejpam-5933	166	9	k2(ξ	k2(ξ	PROPN
ejpam-5933	166	10	,	,	PUNCT
ejpam-5933	166	11	e)dξ	e)dξ	NOUN
ejpam-5933	166	12	,	,	PUNCT
ejpam-5933	166	13	i(s	i(s	NOUN
ejpam-5933	166	14	)	)	PUNCT
ejpam-5933	166	15	=	=	SYM
ejpam-5933	166	16	i(0	i(0	PROPN
ejpam-5933	166	17	)	)	PUNCT
ejpam-5933	166	18	+	+	CCONJ
ejpam-5933	166	19	2(1−a	2(1−a	X
ejpam-5933	166	20	)	)	PUNCT
ejpam-5933	166	21	(	(	PUNCT
ejpam-5933	166	22	2−a)m(a)k3(s	2−a)m(a)k3(s	NUM
ejpam-5933	166	23	,	,	PUNCT
ejpam-5933	166	24	i	i	NOUN
ejpam-5933	166	25	)	)	PUNCT
ejpam-5933	167	1	+	+	CCONJ
ejpam-5933	167	2	2a	2a	NUM
ejpam-5933	167	3	(	(	PUNCT
ejpam-5933	167	4	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	167	5	)	)	PUNCT
ejpam-5933	167	6	∫	∫	PROPN
ejpam-5933	167	7	s	s	PART
ejpam-5933	167	8	0	0	NUM
ejpam-5933	167	9	k3(ξ	k3(ξ	PROPN
ejpam-5933	167	10	,	,	PUNCT
ejpam-5933	167	11	i)dξ	i)dξ	PROPN
ejpam-5933	167	12	,	,	PUNCT
ejpam-5933	167	13	r(s	r(s	NOUN
ejpam-5933	167	14	)	)	PUNCT
ejpam-5933	167	15	=	=	SYM
ejpam-5933	167	16	r(0	r(0	PROPN
ejpam-5933	167	17	)	)	PUNCT
ejpam-5933	167	18	+	+	NUM
ejpam-5933	167	19	2(1−a	2(1−a	NOUN
ejpam-5933	167	20	)	)	PUNCT
ejpam-5933	167	21	(	(	PUNCT
ejpam-5933	167	22	2−a)m(a)k4(s	2−a)m(a)k4(s	NOUN
ejpam-5933	167	23	,	,	PUNCT
ejpam-5933	167	24	r	r	NOUN
ejpam-5933	167	25	)	)	PUNCT
ejpam-5933	167	26	+	+	X
ejpam-5933	167	27	2(1−a	2(1−a	NOUN
ejpam-5933	167	28	)	)	PUNCT
ejpam-5933	167	29	(	(	PUNCT
ejpam-5933	167	30	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	167	31	)	)	PUNCT
ejpam-5933	167	32	∫	∫	PROPN
ejpam-5933	167	33	s	s	PART
ejpam-5933	167	34	0	0	NUM
ejpam-5933	167	35	k4(ξ	k4(ξ	PROPN
ejpam-5933	167	36	,	,	PUNCT
ejpam-5933	167	37	r)dξ	r)dξ	PROPN
ejpam-5933	167	38	.	.	PROPN
ejpam-5933	167	39	(	(	PUNCT
ejpam-5933	167	40	10	10	NUM
ejpam-5933	167	41	)	)	PUNCT
ejpam-5933	167	42	(	(	PUNCT
ejpam-5933	167	43	g	g	NOUN
ejpam-5933	167	44	:)	:)	INTJ
ejpam-5933	167	45	for	for	ADP
ejpam-5933	167	46	proving	prove	VERB
ejpam-5933	167	47	our	our	PRON
ejpam-5933	167	48	results	result	NOUN
ejpam-5933	167	49	,	,	PUNCT
ejpam-5933	167	50	we	we	PRON
ejpam-5933	167	51	consider	consider	VERB
ejpam-5933	167	52	the	the	DET
ejpam-5933	167	53	following	follow	VERB
ejpam-5933	167	54	assumption	assumption	NOUN
ejpam-5933	167	55	:	:	PUNCT
ejpam-5933	167	56	for	for	ADP
ejpam-5933	167	57	this	this	PRON
ejpam-5933	167	58	,	,	PUNCT
ejpam-5933	167	59	s(s),s⋆(s	s(s),s⋆(s	NOUN
ejpam-5933	167	60	)	)	PUNCT
ejpam-5933	167	61	,	,	PUNCT
ejpam-5933	167	62	e(s	e(s	PROPN
ejpam-5933	167	63	)	)	PUNCT
ejpam-5933	167	64	,	,	PUNCT
ejpam-5933	167	65	e⋆(s	e⋆(s	PROPN
ejpam-5933	167	66	)	)	PUNCT
ejpam-5933	167	67	,	,	PUNCT
ejpam-5933	167	68	i(s	i(s	NOUN
ejpam-5933	167	69	)	)	PUNCT
ejpam-5933	167	70	,	,	PUNCT
ejpam-5933	167	71	i⋆(s),r(s),r⋆(s	i⋆(s),r(s),r⋆(s	X
ejpam-5933	167	72	)	)	PUNCT
ejpam-5933	167	73	∈	∈	PROPN
ejpam-5933	167	74	l[0	l[0	NOUN
ejpam-5933	167	75	,	,	PUNCT
ejpam-5933	167	76	1	1	NUM
ejpam-5933	167	77	]	]	PUNCT
ejpam-5933	167	78	be	be	AUX
ejpam-5933	167	79	continuous	continuous	ADJ
ejpam-5933	167	80	such	such	ADJ
ejpam-5933	167	81	that	that	SCONJ
ejpam-5933	167	82	||s(s)||	||s(s)||	ADJ
ejpam-5933	167	83	≤	≤	ADJ
ejpam-5933	167	84	c1	c1	NOUN
ejpam-5933	167	85	,	,	PUNCT
ejpam-5933	167	86	||e(s)||	||e(s)||	NOUN
ejpam-5933	167	87	≤	≤	NUM
ejpam-5933	167	88	c2	c2	PROPN
ejpam-5933	167	89	,	,	PUNCT
ejpam-5933	167	90	||i(s)||	||i(s)||	ADJ
ejpam-5933	167	91	≤	≤	X
ejpam-5933	167	92	c3	c3	NOUN
ejpam-5933	167	93	and	and	CCONJ
ejpam-5933	167	94	||r(s)||	||r(s)||	VERB
ejpam-5933	167	95	≤	≤	NUM
ejpam-5933	167	96	c4	c4	NOUN
ejpam-5933	167	97	,	,	PUNCT
ejpam-5933	167	98	for	for	ADP
ejpam-5933	167	99	some	some	DET
ejpam-5933	167	100	positive	positive	ADJ
ejpam-5933	167	101	constants	constant	NOUN
ejpam-5933	167	102	c1	c1	PROPN
ejpam-5933	167	103	,	,	PUNCT
ejpam-5933	167	104	c2	c2	PROPN
ejpam-5933	167	105	,	,	PUNCT
ejpam-5933	167	106	c3	c3	PROPN
ejpam-5933	167	107	,	,	PUNCT
ejpam-5933	167	108	c4	c4	NOUN
ejpam-5933	167	109	>	>	X
ejpam-5933	167	110	0	0	X
ejpam-5933	167	111	.	.	PUNCT
ejpam-5933	168	1	theorem	theorem	NOUN
ejpam-5933	168	2	4	4	NUM
ejpam-5933	168	3	.	.	PUNCT
ejpam-5933	169	1	each	each	DET
ejpam-5933	169	2	kernel	kernel	NOUN
ejpam-5933	169	3	(	(	PUNCT
ejpam-5933	169	4	k1,k2,k3,k4	k1,k2,k3,k4	PROPN
ejpam-5933	169	5	)	)	PUNCT
ejpam-5933	169	6	satisfy	satisfy	VERB
ejpam-5933	169	7	the	the	DET
ejpam-5933	169	8	lipschitz	lipschitz	NOUN
ejpam-5933	169	9	condition	condition	NOUN
ejpam-5933	169	10	under	under	ADP
ejpam-5933	169	11	the	the	DET
ejpam-5933	169	12	assumption	assumption	NOUN
ejpam-5933	169	13	(	(	PUNCT
ejpam-5933	169	14	g	g	NOUN
ejpam-5933	169	15	)	)	PUNCT
ejpam-5933	169	16	and	and	CCONJ
ejpam-5933	169	17	ji	ji	X
ejpam-5933	169	18	<	<	X
ejpam-5933	169	19	1	1	NUM
ejpam-5933	169	20	,	,	PUNCT
ejpam-5933	169	21	for	for	ADP
ejpam-5933	169	22	i	i	PROPN
ejpam-5933	169	23	=	=	SYM
ejpam-5933	169	24	1	1	NUM
ejpam-5933	169	25	,	,	PUNCT
ejpam-5933	169	26	2	2	NUM
ejpam-5933	169	27	,	,	PUNCT
ejpam-5933	169	28	3	3	NUM
ejpam-5933	169	29	,	,	PUNCT
ejpam-5933	169	30	4	4	NUM
ejpam-5933	169	31	.	.	PUNCT
ejpam-5933	169	32	proof	proof	NOUN
ejpam-5933	169	33	.	.	PUNCT
ejpam-5933	170	1	for	for	ADP
ejpam-5933	170	2	s	s	PRON
ejpam-5933	170	3	and	and	CCONJ
ejpam-5933	170	4	s⋆	s⋆	NUM
ejpam-5933	170	5	,	,	PUNCT
ejpam-5933	170	6	we	we	PRON
ejpam-5933	170	7	have	have	VERB
ejpam-5933	170	8	from	from	ADP
ejpam-5933	170	9	(	(	PUNCT
ejpam-5933	170	10	9	9	NUM
ejpam-5933	170	11	)	)	PUNCT
ejpam-5933	170	12	,	,	PUNCT
ejpam-5933	170	13	gives	give	VERB
ejpam-5933	170	14	||k1(s	||k1(s	ADP
ejpam-5933	170	15	,	,	PUNCT
ejpam-5933	170	16	s)−k1(s	s)−k1(	NOUN
ejpam-5933	170	17	,	,	PUNCT
ejpam-5933	170	18	s⋆)||	s⋆)||	NOUN
ejpam-5933	170	19	=	=	SYM
ejpam-5933	170	20	||αn	||αn	NOUN
ejpam-5933	170	21	−	−	NOUN
ejpam-5933	170	22	βsi	βsi	NOUN
ejpam-5933	170	23	+	+	CCONJ
ejpam-5933	170	24	θr−	θr−	NUM
ejpam-5933	170	25	ϕs	ϕs	INTJ
ejpam-5933	170	26	−	−	PROPN
ejpam-5933	171	1	(	(	PUNCT
ejpam-5933	171	2	αn	αn	NOUN
ejpam-5933	171	3	−	−	PROPN
ejpam-5933	171	4	βs⋆i	βs⋆i	PROPN
ejpam-5933	171	5	+	+	CCONJ
ejpam-5933	171	6	θr−	θr−	NUM
ejpam-5933	171	7	ϕs⋆)||	ϕs⋆)||	ADJ
ejpam-5933	171	8	≤	≤	NUM
ejpam-5933	171	9	||βi(s)||||s(s)−	||βi(s)||||s(s)−	ADP
ejpam-5933	172	1	s⋆(s)||+	s⋆(s)||+	PROPN
ejpam-5933	172	2	ϕ||s(s)−	ϕ||s(s)−	PROPN
ejpam-5933	172	3	s⋆(s)||	s⋆(s)||	ADJ
ejpam-5933	172	4	≤	≤	NOUN
ejpam-5933	172	5	(	(	PUNCT
ejpam-5933	172	6	c3β	c3β	NOUN
ejpam-5933	172	7	+	+	CCONJ
ejpam-5933	172	8	ϕ)||s(s)−	ϕ)||s(s)−	ADJ
ejpam-5933	172	9	s⋆(s)||	s⋆(s)||	NOUN
ejpam-5933	172	10	=	=	SYM
ejpam-5933	172	11	j1||s(s)−	j1||s(s)−	NUM
ejpam-5933	172	12	s⋆(s)||	s⋆(s)||	NOUN
ejpam-5933	172	13	,	,	PUNCT
ejpam-5933	172	14	(	(	PUNCT
ejpam-5933	172	15	11	11	NUM
ejpam-5933	172	16	)	)	PUNCT
ejpam-5933	172	17	where	where	SCONJ
ejpam-5933	172	18	j1	j1	NOUN
ejpam-5933	172	19	=	=	PUNCT
ejpam-5933	172	20	c3β	c3β	PROPN
ejpam-5933	172	21	+	+	CCONJ
ejpam-5933	172	22	ϕ.	ϕ.	PROPN
ejpam-5933	172	23	for	for	ADP
ejpam-5933	172	24	e	e	PROPN
ejpam-5933	172	25	and	and	CCONJ
ejpam-5933	172	26	e⋆	e⋆	X
ejpam-5933	172	27	,	,	PUNCT
ejpam-5933	172	28	we	we	PRON
ejpam-5933	172	29	have	have	VERB
ejpam-5933	172	30	||k2(s	||k2(s	NOUN
ejpam-5933	172	31	,	,	PUNCT
ejpam-5933	172	32	e)−k2(s	e)−k2(s	NOUN
ejpam-5933	172	33	,	,	PUNCT
ejpam-5933	172	34	e⋆)||	e⋆)||	X
ejpam-5933	172	35	=	=	PUNCT
ejpam-5933	172	36	||βsi	||βsi	PRON
ejpam-5933	173	1	−	−	NOUN
ejpam-5933	173	2	γe	γe	INTJ
ejpam-5933	173	3	−	−	PROPN
ejpam-5933	173	4	ϕe	ϕe	PRON
ejpam-5933	173	5	−	−	PROPN
ejpam-5933	173	6	(	(	PUNCT
ejpam-5933	173	7	βsi	βsi	NOUN
ejpam-5933	173	8	−	−	PROPN
ejpam-5933	173	9	γe⋆	γe⋆	PROPN
ejpam-5933	173	10	−	−	PROPN
ejpam-5933	173	11	ϕe⋆)||	ϕe⋆)||	NOUN
ejpam-5933	173	12	≤	≤	NOUN
ejpam-5933	173	13	(	(	PUNCT
ejpam-5933	173	14	γ	γ	X
ejpam-5933	173	15	+	+	X
ejpam-5933	173	16	ϕ)||e(s)−	ϕ)||e(s)−	VERB
ejpam-5933	173	17	e⋆(s)||	e⋆(s)||	NOUN
ejpam-5933	173	18	=	=	SYM
ejpam-5933	173	19	j2||e(s)−	j2||e(s)−	PROPN
ejpam-5933	173	20	e⋆(s)||	e⋆(s)||	NOUN
ejpam-5933	173	21	,	,	PUNCT
ejpam-5933	173	22	(	(	PUNCT
ejpam-5933	173	23	12	12	NUM
ejpam-5933	173	24	)	)	PUNCT
ejpam-5933	173	25	where	where	SCONJ
ejpam-5933	173	26	j2	j2	NOUN
ejpam-5933	173	27	=	=	PROPN
ejpam-5933	173	28	γ	γ	PROPN
ejpam-5933	173	29	+	+	PROPN
ejpam-5933	173	30	ϕ.	ϕ.	NOUN
ejpam-5933	173	31	for	for	ADP
ejpam-5933	173	32	i	i	PROPN
ejpam-5933	173	33	and	and	CCONJ
ejpam-5933	173	34	i⋆	i⋆	X
ejpam-5933	173	35	,	,	PUNCT
ejpam-5933	173	36	we	we	PRON
ejpam-5933	173	37	have	have	VERB
ejpam-5933	173	38	||k3(s	||k3(	NOUN
ejpam-5933	173	39	,	,	PUNCT
ejpam-5933	173	40	i)−k3(s	i)−k3(	NOUN
ejpam-5933	173	41	,	,	PUNCT
ejpam-5933	173	42	i⋆)||	i⋆)||	NOUN
ejpam-5933	173	43	=	=	SYM
ejpam-5933	173	44	||γe	||γe	NOUN
ejpam-5933	173	45	−	−	PROPN
ejpam-5933	173	46	ωi	ωi	INTJ
ejpam-5933	173	47	−	−	NOUN
ejpam-5933	173	48	ϕi	ϕi	ADP
ejpam-5933	173	49	−	−	PROPN
ejpam-5933	173	50	(	(	PUNCT
ejpam-5933	173	51	γe	γe	INTJ
ejpam-5933	173	52	−	−	DET
ejpam-5933	173	53	ωi⋆	ωi⋆	PROPN
ejpam-5933	173	54	−	−	PROPN
ejpam-5933	173	55	ϕi⋆)||	ϕi⋆)||	NOUN
ejpam-5933	173	56	≤	≤	NUM
ejpam-5933	174	1	(	(	PUNCT
ejpam-5933	175	1	ω	ω	NOUN
ejpam-5933	175	2	+	+	CCONJ
ejpam-5933	175	3	ϕ)||i(s)−	ϕ)||i(s)−	ADP
ejpam-5933	175	4	i⋆(s)||	i⋆(s)||	ADJ
ejpam-5933	175	5	=	=	NOUN
ejpam-5933	175	6	j3||i(s)−	j3||i(s)−	ADP
ejpam-5933	175	7	i⋆(s)||	i⋆(s)||	NOUN
ejpam-5933	175	8	,	,	PUNCT
ejpam-5933	175	9	(	(	PUNCT
ejpam-5933	175	10	13	13	NUM
ejpam-5933	175	11	)	)	PUNCT
ejpam-5933	176	1	where	where	SCONJ
ejpam-5933	176	2	j3	j3	PROPN
ejpam-5933	176	3	=	=	PROPN
ejpam-5933	176	4	ω	ω	PROPN
ejpam-5933	177	1	+	+	CCONJ
ejpam-5933	177	2	ϕ.	ϕ.	PROPN
ejpam-5933	177	3	for	for	ADP
ejpam-5933	177	4	r	r	NOUN
ejpam-5933	177	5	and	and	CCONJ
ejpam-5933	177	6	r⋆	r⋆	NUM
ejpam-5933	177	7	,	,	PUNCT
ejpam-5933	177	8	we	we	PRON
ejpam-5933	177	9	have	have	AUX
ejpam-5933	177	10	||k4(s	||k4(	VERB
ejpam-5933	177	11	,	,	PUNCT
ejpam-5933	177	12	r)−k4(s	r)−k4(s	NOUN
ejpam-5933	177	13	,	,	PUNCT
ejpam-5933	177	14	r⋆)||	r⋆)||	PROPN
ejpam-5933	177	15	=	=	SYM
ejpam-5933	177	16	||ωi	||ωi	NOUN
ejpam-5933	177	17	−	−	PROPN
ejpam-5933	177	18	θr−	θr−	PUNCT
ejpam-5933	177	19	ϕr−	ϕr−	NUM
ejpam-5933	177	20	(	(	PUNCT
ejpam-5933	177	21	ωi	ωi	NUM
ejpam-5933	177	22	−	−	PROPN
ejpam-5933	177	23	θr⋆	θr⋆	ADJ
ejpam-5933	177	24	−	−	PROPN
ejpam-5933	177	25	ϕr⋆)||	ϕr⋆)||	NOUN
ejpam-5933	177	26	≤	≤	NOUN
ejpam-5933	177	27	(	(	PUNCT
ejpam-5933	177	28	θ	θ	X
ejpam-5933	177	29	+	+	CCONJ
ejpam-5933	177	30	ϕ)||r(s)−r⋆(s)||	ϕ)||r(s)−r⋆(s)||	PROPN
ejpam-5933	177	31	=	=	SYM
ejpam-5933	177	32	j4||r(s)−r⋆(s)||	j4||r(s)−r⋆(s)||	NOUN
ejpam-5933	177	33	,	,	PUNCT
ejpam-5933	177	34	(	(	PUNCT
ejpam-5933	177	35	14	14	NUM
ejpam-5933	177	36	)	)	PUNCT
ejpam-5933	177	37	where	where	SCONJ
ejpam-5933	177	38	j4	j4	NOUN
ejpam-5933	177	39	=	=	SYM
ejpam-5933	177	40	θ	θ	PROPN
ejpam-5933	177	41	+	+	CCONJ
ejpam-5933	177	42	ϕ.	ϕ.	PROPN
ejpam-5933	177	43	thus	thus	ADV
ejpam-5933	177	44	,	,	PUNCT
ejpam-5933	177	45	from	from	ADP
ejpam-5933	177	46	(	(	PUNCT
ejpam-5933	177	47	11)-(14	11)-(14	NOUN
ejpam-5933	177	48	)	)	PUNCT
ejpam-5933	177	49	,	,	PUNCT
ejpam-5933	177	50	we	we	PRON
ejpam-5933	177	51	have	have	VERB
ejpam-5933	177	52	that	that	PRON
ejpam-5933	177	53	ki	ki	PROPN
ejpam-5933	177	54	for	for	ADP
ejpam-5933	177	55	i	i	PROPN
ejpam-5933	177	56	=	=	NOUN
ejpam-5933	177	57	1	1	NUM
ejpam-5933	177	58	,	,	PUNCT
ejpam-5933	177	59	2	2	NUM
ejpam-5933	177	60	,	,	PUNCT
ejpam-5933	177	61	3	3	NUM
ejpam-5933	177	62	,	,	PUNCT
ejpam-5933	177	63	4	4	NUM
ejpam-5933	177	64	,	,	PUNCT
ejpam-5933	177	65	satisfy	satisfy	VERB
ejpam-5933	177	66	the	the	DET
ejpam-5933	177	67	lipschitz	lipschitz	NOUN
ejpam-5933	177	68	property	property	NOUN
ejpam-5933	177	69	.	.	PUNCT
ejpam-5933	178	1	r.	r.	PROPN
ejpam-5933	178	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	178	3	et	et	PROPN
ejpam-5933	178	4	al	al	PROPN
ejpam-5933	178	5	.	.	PUNCT
ejpam-5933	178	6	/	/	SYM
ejpam-5933	178	7	eur	eur	PROPN
ejpam-5933	178	8	.	.	PUNCT
ejpam-5933	179	1	j.	j.	PROPN
ejpam-5933	179	2	pure	pure	PROPN
ejpam-5933	179	3	appl	appl	PROPN
ejpam-5933	179	4	.	.	PROPN
ejpam-5933	179	5	math	math	PROPN
ejpam-5933	179	6	,	,	PUNCT
ejpam-5933	179	7	18	18	NUM
ejpam-5933	179	8	(	(	PUNCT
ejpam-5933	179	9	2	2	NUM
ejpam-5933	179	10	)	)	PUNCT
ejpam-5933	179	11	(	(	PUNCT
ejpam-5933	179	12	2025	2025	NUM
ejpam-5933	179	13	)	)	PUNCT
ejpam-5933	179	14	,	,	PUNCT
ejpam-5933	179	15	5933	5933	NUM
ejpam-5933	179	16	10	10	NUM
ejpam-5933	179	17	of	of	ADP
ejpam-5933	179	18	25	25	NUM
ejpam-5933	179	19	theorem	theorem	NOUN
ejpam-5933	179	20	5	5	NUM
ejpam-5933	179	21	.	.	PUNCT
ejpam-5933	180	1	there	there	PRON
ejpam-5933	180	2	is	be	VERB
ejpam-5933	180	3	at	at	ADP
ejpam-5933	180	4	least	least	ADJ
ejpam-5933	180	5	a	a	DET
ejpam-5933	180	6	solution	solution	NOUN
ejpam-5933	180	7	of	of	ADP
ejpam-5933	180	8	the	the	DET
ejpam-5933	180	9	system	system	NOUN
ejpam-5933	180	10	(	(	PUNCT
ejpam-5933	180	11	1	1	X
ejpam-5933	180	12	)	)	PUNCT
ejpam-5933	180	13	if	if	SCONJ
ejpam-5933	180	14	δ	δ	PROPN
ejpam-5933	180	15	=	=	SYM
ejpam-5933	180	16	max{j1	max{j1	PROPN
ejpam-5933	180	17	,	,	PUNCT
ejpam-5933	180	18	j2	j2	PROPN
ejpam-5933	180	19	,	,	PUNCT
ejpam-5933	180	20	j3	j3	PROPN
ejpam-5933	180	21	,	,	PUNCT
ejpam-5933	180	22	j4	j4	PROPN
ejpam-5933	180	23	}	}	PUNCT
ejpam-5933	180	24	<	<	X
ejpam-5933	180	25	1	1	NUM
ejpam-5933	180	26	.	.	PUNCT
ejpam-5933	180	27	proof	proof	NOUN
ejpam-5933	180	28	.	.	PUNCT
ejpam-5933	181	1	let	let	VERB
ejpam-5933	181	2	λ1k(s	λ1k(s	PROPN
ejpam-5933	181	3	)	)	PUNCT
ejpam-5933	182	1	=	=	PUNCT
ejpam-5933	182	2	sk+1(s)−	sk+1(s)−	ADP
ejpam-5933	182	3	s(s	s(s	PROPN
ejpam-5933	182	4	)	)	PUNCT
ejpam-5933	182	5	,	,	PUNCT
ejpam-5933	182	6	λ2k(s	λ2k(s	PROPN
ejpam-5933	182	7	)	)	PUNCT
ejpam-5933	182	8	=	=	PUNCT
ejpam-5933	182	9	ek+1(s)−	ek+1(s)−	ADP
ejpam-5933	182	10	e(s	e(s	PROPN
ejpam-5933	182	11	)	)	PUNCT
ejpam-5933	182	12	,	,	PUNCT
ejpam-5933	182	13	λ3k(s	λ3k(s	NOUN
ejpam-5933	182	14	)	)	PUNCT
ejpam-5933	182	15	=	=	VERB
ejpam-5933	182	16	ik+1(s)−	ik+1(s)−	ADP
ejpam-5933	182	17	i(s	i(s	NOUN
ejpam-5933	182	18	)	)	PUNCT
ejpam-5933	182	19	,	,	PUNCT
ejpam-5933	182	20	λ4k(s	λ4k(s	PROPN
ejpam-5933	182	21	)	)	PUNCT
ejpam-5933	182	22	=	=	SYM
ejpam-5933	182	23	rk+1(s)−r(s	rk+1(s)−r(s	NOUN
ejpam-5933	182	24	)	)	PUNCT
ejpam-5933	182	25	.	.	PUNCT
ejpam-5933	183	1	then	then	ADV
ejpam-5933	183	2	,	,	PUNCT
ejpam-5933	183	3	we	we	PRON
ejpam-5933	183	4	have	have	VERB
ejpam-5933	183	5	||λ1k(s)||	||λ1k(s)||	PROPN
ejpam-5933	183	6	=	=	NOUN
ejpam-5933	183	7	||sk+1(s)−	||sk+1(s)−	NOUN
ejpam-5933	183	8	s(s)||	s(s)||	NOUN
ejpam-5933	183	9	=	=	SYM
ejpam-5933	183	10	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5933	183	11	2(1−	2(1−	NUM
ejpam-5933	183	12	a	a	X
ejpam-5933	183	13	)	)	PUNCT
ejpam-5933	183	14	(	(	PUNCT
ejpam-5933	183	15	2−	2−	NUM
ejpam-5933	183	16	a)m(a	a)m(a	NOUN
ejpam-5933	183	17	)	)	PUNCT
ejpam-5933	183	18	(	(	PUNCT
ejpam-5933	183	19	k1(s	k1(s	PROPN
ejpam-5933	183	20	,	,	PUNCT
ejpam-5933	183	21	sk)−k1(s	sk)−k1(s	PROPN
ejpam-5933	183	22	,	,	PUNCT
ejpam-5933	183	23	s	s	NOUN
ejpam-5933	183	24	)	)	PUNCT
ejpam-5933	183	25	)	)	PUNCT
ejpam-5933	184	1	+	+	CCONJ
ejpam-5933	184	2	2a	2a	NUM
ejpam-5933	184	3	(	(	PUNCT
ejpam-5933	184	4	2−	2−	NUM
ejpam-5933	184	5	a)m(a	a)m(a	NOUN
ejpam-5933	184	6	)	)	PUNCT
ejpam-5933	184	7	∫	∫	PROPN
ejpam-5933	184	8	s	s	PART
ejpam-5933	184	9	0	0	NUM
ejpam-5933	184	10	(	(	PUNCT
ejpam-5933	184	11	k1(ξ	k1(ξ	PROPN
ejpam-5933	184	12	,	,	PUNCT
ejpam-5933	184	13	sk)−k1(ξ	sk)−k1(ξ	PROPN
ejpam-5933	184	14	,	,	PUNCT
ejpam-5933	184	15	s))dξ	s))dξ	PROPN
ejpam-5933	184	16	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5933	184	17	≤	≤	NOUN
ejpam-5933	184	18	2(1−	2(1−	X
ejpam-5933	184	19	a	a	X
ejpam-5933	184	20	)	)	PUNCT
ejpam-5933	184	21	(	(	PUNCT
ejpam-5933	184	22	2−	2−	NUM
ejpam-5933	184	23	a)m(a	a)m(a	NOUN
ejpam-5933	184	24	)	)	PUNCT
ejpam-5933	184	25	∥∥k1(s	∥∥k1(	NOUN
ejpam-5933	184	26	,	,	PUNCT
ejpam-5933	184	27	sk)−k1(s	sk)−k1(s	PROPN
ejpam-5933	184	28	,	,	PUNCT
ejpam-5933	184	29	s	s	PART
ejpam-5933	184	30	)	)	PUNCT
ejpam-5933	184	31	∥∥	∥∥	X
ejpam-5933	185	1	+	+	NUM
ejpam-5933	185	2	2a	2a	NUM
ejpam-5933	185	3	(	(	PUNCT
ejpam-5933	185	4	2−	2−	NUM
ejpam-5933	185	5	a)m(a	a)m(a	NOUN
ejpam-5933	185	6	)	)	PUNCT
ejpam-5933	185	7	∫	∫	PROPN
ejpam-5933	185	8	s	s	PART
ejpam-5933	185	9	0	0	PROPN
ejpam-5933	185	10	∥∥k1(ξ	∥∥k1(ξ	PROPN
ejpam-5933	185	11	,	,	PUNCT
ejpam-5933	185	12	sk)−k1(ξ	sk)−k1(ξ	PROPN
ejpam-5933	185	13	,	,	PUNCT
ejpam-5933	185	14	s	s	PART
ejpam-5933	185	15	)	)	PUNCT
ejpam-5933	185	16	)	)	PUNCT
ejpam-5933	186	1	∥∥dξ	∥∥dξ	PROPN
ejpam-5933	186	2	≤	≤	NOUN
ejpam-5933	186	3	2(1−	2(1−	NUM
ejpam-5933	186	4	a	a	X
ejpam-5933	186	5	)	)	PUNCT
ejpam-5933	186	6	(	(	PUNCT
ejpam-5933	186	7	2−	2−	NUM
ejpam-5933	186	8	a)m(a	a)m(a	NOUN
ejpam-5933	186	9	)	)	PUNCT
ejpam-5933	186	10	j1||sk	j1||sk	NOUN
ejpam-5933	186	11	−	−	PROPN
ejpam-5933	186	12	s||	s||	PROPN
ejpam-5933	186	13	+	+	CCONJ
ejpam-5933	186	14	2a	2a	NUM
ejpam-5933	186	15	(	(	PUNCT
ejpam-5933	186	16	2−	2−	NUM
ejpam-5933	186	17	a)m(a	a)m(a	NOUN
ejpam-5933	186	18	)	)	PUNCT
ejpam-5933	186	19	∫	∫	PROPN
ejpam-5933	186	20	s	s	PART
ejpam-5933	186	21	0	0	NUM
ejpam-5933	186	22	j1||sk	j1||sk	PROPN
ejpam-5933	186	23	−	−	PROPN
ejpam-5933	187	1	s||dξ	s||dξ	ADV
ejpam-5933	188	1	=	=	PUNCT
ejpam-5933	189	1	2(1−	2(1−	X
ejpam-5933	189	2	a	a	NOUN
ejpam-5933	189	3	)	)	PUNCT
ejpam-5933	189	4	(	(	PUNCT
ejpam-5933	189	5	2−	2−	NUM
ejpam-5933	189	6	a)m(a	a)m(a	NOUN
ejpam-5933	189	7	)	)	PUNCT
ejpam-5933	189	8	j1||sk	j1||sk	NOUN
ejpam-5933	189	9	−	−	PROPN
ejpam-5933	189	10	s||	s||	PROPN
ejpam-5933	189	11	+	+	CCONJ
ejpam-5933	189	12	2a	2a	NUM
ejpam-5933	189	13	(	(	PUNCT
ejpam-5933	189	14	2−	2−	NUM
ejpam-5933	189	15	a)m(a	a)m(a	NOUN
ejpam-5933	189	16	)	)	PUNCT
ejpam-5933	189	17	j1	j1	PROPN
ejpam-5933	189	18	∫	∫	PROPN
ejpam-5933	189	19	s	s	PART
ejpam-5933	189	20	0	0	NUM
ejpam-5933	189	21	||sk	||sk	NUM
ejpam-5933	189	22	−	−	PROPN
ejpam-5933	189	23	s||dξ	s||dξ	ADV
ejpam-5933	189	24	≤	≤	PROPN
ejpam-5933	189	25	(	(	PUNCT
ejpam-5933	189	26	2(1−	2(1−	NOUN
ejpam-5933	189	27	a	a	NOUN
ejpam-5933	189	28	)	)	PUNCT
ejpam-5933	189	29	(	(	PUNCT
ejpam-5933	189	30	2−	2−	NUM
ejpam-5933	189	31	a)m(a	a)m(a	NOUN
ejpam-5933	189	32	)	)	PUNCT
ejpam-5933	189	33	+	+	NUM
ejpam-5933	189	34	2as	2as	NUM
ejpam-5933	189	35	(	(	PUNCT
ejpam-5933	189	36	2−	2−	NUM
ejpam-5933	189	37	a)m(a	a)m(a	NOUN
ejpam-5933	189	38	)	)	PUNCT
ejpam-5933	189	39	)	)	PUNCT
ejpam-5933	190	1	j1||sk	j1||sk	NOUN
ejpam-5933	190	2	−	−	PROPN
ejpam-5933	190	3	s||	s||	PROPN
ejpam-5933	190	4	≤	≤	NOUN
ejpam-5933	190	5	(	(	PUNCT
ejpam-5933	190	6	2(1−	2(1−	NOUN
ejpam-5933	190	7	a	a	NOUN
ejpam-5933	190	8	)	)	PUNCT
ejpam-5933	190	9	(	(	PUNCT
ejpam-5933	190	10	2−	2−	NUM
ejpam-5933	190	11	a)m(a	a)m(a	NOUN
ejpam-5933	190	12	)	)	PUNCT
ejpam-5933	190	13	+	+	NUM
ejpam-5933	190	14	2as	2as	NUM
ejpam-5933	190	15	(	(	PUNCT
ejpam-5933	190	16	2−	2−	NUM
ejpam-5933	190	17	a)m(a	a)m(a	NOUN
ejpam-5933	190	18	)	)	PUNCT
ejpam-5933	190	19	)	)	PUNCT
ejpam-5933	191	1	n	n	X
ejpam-5933	191	2	jn1||s1	jn1||s1	ADV
ejpam-5933	191	3	−	−	ADP
ejpam-5933	191	4	s||	s||	NOUN
ejpam-5933	191	5	.	.	PUNCT
ejpam-5933	192	1	since	since	SCONJ
ejpam-5933	192	2	j1	j1	PROPN
ejpam-5933	192	3	<	<	X
ejpam-5933	192	4	1	1	NUM
ejpam-5933	192	5	.	.	PUNCT
ejpam-5933	193	1	as	as	ADP
ejpam-5933	193	2	n	n	PROPN
ejpam-5933	193	3	→	→	SYM
ejpam-5933	193	4	∞	∞	PROPN
ejpam-5933	193	5	,	,	PUNCT
ejpam-5933	193	6	we	we	PRON
ejpam-5933	193	7	have	have	VERB
ejpam-5933	193	8	sn	sn	PROPN
ejpam-5933	193	9	→	→	SYM
ejpam-5933	193	10	s.	s.	PROPN
ejpam-5933	193	11	similarly	similarly	ADV
ejpam-5933	193	12	,	,	PUNCT
ejpam-5933	193	13	||λ2k(s)||	||λ2k(s)||	NOUN
ejpam-5933	193	14	≤	≤	NOUN
ejpam-5933	193	15	(	(	PUNCT
ejpam-5933	193	16	2(1−	2(1−	NOUN
ejpam-5933	193	17	a	a	NOUN
ejpam-5933	193	18	)	)	PUNCT
ejpam-5933	193	19	(	(	PUNCT
ejpam-5933	193	20	2−	2−	NUM
ejpam-5933	193	21	a)m(a	a)m(a	NOUN
ejpam-5933	193	22	)	)	PUNCT
ejpam-5933	194	1	+	+	NUM
ejpam-5933	194	2	2as	2as	NUM
ejpam-5933	194	3	(	(	PUNCT
ejpam-5933	194	4	2−	2−	NUM
ejpam-5933	194	5	a)m(a	a)m(a	NOUN
ejpam-5933	194	6	)	)	PUNCT
ejpam-5933	194	7	)	)	PUNCT
ejpam-5933	195	1	n	n	X
ejpam-5933	195	2	jn2||e1	jn2||e1	NOUN
ejpam-5933	195	3	−	−	PROPN
ejpam-5933	195	4	e||	e||	NOUN
ejpam-5933	196	1	||λ3k(s)||	||λ3k(s)||	NOUN
ejpam-5933	196	2	≤	≤	NOUN
ejpam-5933	196	3	(	(	PUNCT
ejpam-5933	196	4	2(1−	2(1−	NOUN
ejpam-5933	196	5	a	a	NOUN
ejpam-5933	196	6	)	)	PUNCT
ejpam-5933	196	7	(	(	PUNCT
ejpam-5933	196	8	2−	2−	NUM
ejpam-5933	196	9	a)m(a	a)m(a	NOUN
ejpam-5933	196	10	)	)	PUNCT
ejpam-5933	196	11	+	+	NUM
ejpam-5933	196	12	2as	2as	NUM
ejpam-5933	196	13	(	(	PUNCT
ejpam-5933	196	14	2−	2−	NUM
ejpam-5933	196	15	a)m(a	a)m(a	NOUN
ejpam-5933	196	16	)	)	PUNCT
ejpam-5933	196	17	)	)	PUNCT
ejpam-5933	196	18	n	n	X
ejpam-5933	196	19	jn3||i1	jn3||i1	VERB
ejpam-5933	196	20	−	−	PROPN
ejpam-5933	196	21	i||	i||	NOUN
ejpam-5933	196	22	||λ4k(s)||	||λ4k(s)||	PROPN
ejpam-5933	196	23	≤	≤	NOUN
ejpam-5933	196	24	(	(	PUNCT
ejpam-5933	196	25	2(1−	2(1−	NOUN
ejpam-5933	196	26	a	a	NOUN
ejpam-5933	196	27	)	)	PUNCT
ejpam-5933	196	28	(	(	PUNCT
ejpam-5933	196	29	2−	2−	NUM
ejpam-5933	196	30	a)m(a	a)m(a	NOUN
ejpam-5933	196	31	)	)	PUNCT
ejpam-5933	197	1	+	+	NUM
ejpam-5933	197	2	2as	2as	NUM
ejpam-5933	197	3	(	(	PUNCT
ejpam-5933	197	4	2−	2−	NUM
ejpam-5933	197	5	a)m(a	a)m(a	NOUN
ejpam-5933	197	6	)	)	PUNCT
ejpam-5933	197	7	)	)	PUNCT
ejpam-5933	198	1	n	n	X
ejpam-5933	198	2	jn4||r1	jn4||r1	NOUN
ejpam-5933	198	3	−r||	−r||	PROPN
ejpam-5933	198	4	.	.	PUNCT
ejpam-5933	199	1	as	as	ADP
ejpam-5933	199	2	n	n	PROPN
ejpam-5933	199	3	→	→	SYM
ejpam-5933	199	4	∞	∞	PROPN
ejpam-5933	199	5	,	,	PUNCT
ejpam-5933	199	6	we	we	PRON
ejpam-5933	199	7	get	get	VERB
ejpam-5933	199	8	λik(s	λik(s	PROPN
ejpam-5933	199	9	)	)	PUNCT
ejpam-5933	199	10	→	→	SYM
ejpam-5933	199	11	0	0	NUM
ejpam-5933	199	12	with	with	ADP
ejpam-5933	199	13	ji	ji	PROPN
ejpam-5933	199	14	<	<	X
ejpam-5933	199	15	1	1	NUM
ejpam-5933	199	16	for	for	ADP
ejpam-5933	199	17	i	i	PRON
ejpam-5933	199	18	=	=	NOUN
ejpam-5933	199	19	1	1	NUM
ejpam-5933	199	20	,	,	PUNCT
ejpam-5933	199	21	2	2	NUM
ejpam-5933	199	22	,	,	PUNCT
ejpam-5933	199	23	3	3	NUM
ejpam-5933	199	24	,	,	PUNCT
ejpam-5933	199	25	4	4	NUM
ejpam-5933	199	26	.	.	PUNCT
ejpam-5933	200	1	hence	hence	ADV
ejpam-5933	200	2	,	,	PUNCT
ejpam-5933	200	3	the	the	DET
ejpam-5933	200	4	system	system	NOUN
ejpam-5933	200	5	(	(	PUNCT
ejpam-5933	200	6	1	1	X
ejpam-5933	200	7	)	)	PUNCT
ejpam-5933	200	8	has	have	VERB
ejpam-5933	200	9	a	a	DET
ejpam-5933	200	10	solution	solution	NOUN
ejpam-5933	200	11	.	.	PUNCT
ejpam-5933	201	1	r.	r.	PROPN
ejpam-5933	201	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	201	3	et	et	PROPN
ejpam-5933	201	4	al	al	PROPN
ejpam-5933	201	5	.	.	PUNCT
ejpam-5933	201	6	/	/	SYM
ejpam-5933	201	7	eur	eur	PROPN
ejpam-5933	201	8	.	.	PUNCT
ejpam-5933	202	1	j.	j.	PROPN
ejpam-5933	202	2	pure	pure	PROPN
ejpam-5933	202	3	appl	appl	PROPN
ejpam-5933	202	4	.	.	PROPN
ejpam-5933	202	5	math	math	PROPN
ejpam-5933	202	6	,	,	PUNCT
ejpam-5933	202	7	18	18	NUM
ejpam-5933	202	8	(	(	PUNCT
ejpam-5933	202	9	2	2	NUM
ejpam-5933	202	10	)	)	PUNCT
ejpam-5933	202	11	(	(	PUNCT
ejpam-5933	202	12	2025	2025	NUM
ejpam-5933	202	13	)	)	PUNCT
ejpam-5933	202	14	,	,	PUNCT
ejpam-5933	202	15	5933	5933	NUM
ejpam-5933	202	16	11	11	NUM
ejpam-5933	202	17	of	of	ADP
ejpam-5933	202	18	25	25	NUM
ejpam-5933	202	19	theorem	theorem	NOUN
ejpam-5933	202	20	6	6	NUM
ejpam-5933	202	21	.	.	PUNCT
ejpam-5933	203	1	the	the	DET
ejpam-5933	203	2	system	system	NOUN
ejpam-5933	203	3	(	(	PUNCT
ejpam-5933	203	4	1	1	X
ejpam-5933	203	5	)	)	PUNCT
ejpam-5933	203	6	has	have	VERB
ejpam-5933	203	7	a	a	DET
ejpam-5933	203	8	unique	unique	ADJ
ejpam-5933	203	9	solution	solution	NOUN
ejpam-5933	203	10	if	if	SCONJ
ejpam-5933	203	11	(	(	PUNCT
ejpam-5933	203	12	2(1−	2(1−	NOUN
ejpam-5933	203	13	a	a	NOUN
ejpam-5933	203	14	)	)	PUNCT
ejpam-5933	203	15	(	(	PUNCT
ejpam-5933	203	16	2−	2−	NUM
ejpam-5933	203	17	a)m(a	a)m(a	NOUN
ejpam-5933	203	18	)	)	PUNCT
ejpam-5933	204	1	+	+	NUM
ejpam-5933	204	2	2as	2as	NUM
ejpam-5933	204	3	(	(	PUNCT
ejpam-5933	204	4	2−	2−	NUM
ejpam-5933	204	5	a)m(a	a)m(a	NOUN
ejpam-5933	204	6	)	)	PUNCT
ejpam-5933	204	7	)	)	PUNCT
ejpam-5933	205	1	ji	ji	PROPN
ejpam-5933	205	2	≤	≤	ADV
ejpam-5933	205	3	1	1	NUM
ejpam-5933	205	4	,	,	PUNCT
ejpam-5933	205	5	for	for	ADP
ejpam-5933	205	6	i	i	PROPN
ejpam-5933	205	7	=	=	SYM
ejpam-5933	205	8	1	1	NUM
ejpam-5933	205	9	,	,	PUNCT
ejpam-5933	205	10	2	2	NUM
ejpam-5933	205	11	,	,	PUNCT
ejpam-5933	205	12	3	3	NUM
ejpam-5933	205	13	,	,	PUNCT
ejpam-5933	205	14	4	4	NUM
ejpam-5933	205	15	.	.	PUNCT
ejpam-5933	205	16	proof	proof	NOUN
ejpam-5933	205	17	.	.	PUNCT
ejpam-5933	206	1	assume	assume	VERB
ejpam-5933	206	2	that	that	SCONJ
ejpam-5933	206	3	there	there	PRON
ejpam-5933	206	4	exists	exist	VERB
ejpam-5933	206	5	another	another	DET
ejpam-5933	206	6	solution	solution	NOUN
ejpam-5933	206	7	s⋆(s	s⋆(	NOUN
ejpam-5933	206	8	)	)	PUNCT
ejpam-5933	206	9	,	,	PUNCT
ejpam-5933	206	10	e⋆(s	e⋆(s	PROPN
ejpam-5933	206	11	)	)	PUNCT
ejpam-5933	206	12	,	,	PUNCT
ejpam-5933	206	13	i⋆(s),r⋆(s	i⋆(s),r⋆(s	PROPN
ejpam-5933	206	14	)	)	PUNCT
ejpam-5933	206	15	with	with	ADP
ejpam-5933	206	16	initial	initial	ADJ
ejpam-5933	206	17	values	value	NOUN
ejpam-5933	206	18	such	such	ADJ
ejpam-5933	206	19	that	that	DET
ejpam-5933	206	20	s⋆(s	s⋆(	NOUN
ejpam-5933	206	21	)	)	PUNCT
ejpam-5933	206	22	=	=	SYM
ejpam-5933	207	1	s(0	s(0	PROPN
ejpam-5933	207	2	)	)	PUNCT
ejpam-5933	208	1	+	+	CCONJ
ejpam-5933	208	2	2(1−	2(1−	NUM
ejpam-5933	208	3	a	a	X
ejpam-5933	208	4	)	)	PUNCT
ejpam-5933	208	5	(	(	PUNCT
ejpam-5933	208	6	2−	2−	NUM
ejpam-5933	208	7	a)m(a	a)m(a	NOUN
ejpam-5933	208	8	)	)	PUNCT
ejpam-5933	208	9	k1(s	k1(s	PROPN
ejpam-5933	208	10	,	,	PUNCT
ejpam-5933	208	11	s⋆	s⋆	X
ejpam-5933	208	12	)	)	PUNCT
ejpam-5933	209	1	+	+	CCONJ
ejpam-5933	209	2	2a	2a	NUM
ejpam-5933	209	3	(	(	PUNCT
ejpam-5933	209	4	2−	2−	NUM
ejpam-5933	209	5	a)m(a	a)m(a	NOUN
ejpam-5933	209	6	)	)	PUNCT
ejpam-5933	209	7	∫	∫	PROPN
ejpam-5933	209	8	s	s	PART
ejpam-5933	209	9	0	0	NUM
ejpam-5933	209	10	k1(ξ	k1(ξ	PROPN
ejpam-5933	209	11	,	,	PUNCT
ejpam-5933	209	12	s⋆)dξ	s⋆)dξ	ADJ
ejpam-5933	209	13	,	,	PUNCT
ejpam-5933	209	14	e⋆(s	e⋆(s	ADJ
ejpam-5933	209	15	)	)	PUNCT
ejpam-5933	209	16	=	=	PUNCT
ejpam-5933	210	1	e(0	e(0	NOUN
ejpam-5933	210	2	)	)	PUNCT
ejpam-5933	211	1	+	+	CCONJ
ejpam-5933	211	2	2(1−	2(1−	X
ejpam-5933	211	3	a	a	X
ejpam-5933	211	4	)	)	PUNCT
ejpam-5933	211	5	(	(	PUNCT
ejpam-5933	211	6	2−	2−	NUM
ejpam-5933	211	7	a)m(a	a)m(a	NOUN
ejpam-5933	211	8	)	)	PUNCT
ejpam-5933	211	9	k2(s	k2(s	PROPN
ejpam-5933	211	10	,	,	PUNCT
ejpam-5933	211	11	e⋆	e⋆	X
ejpam-5933	211	12	)	)	PUNCT
ejpam-5933	212	1	+	+	NUM
ejpam-5933	212	2	2a	2a	NUM
ejpam-5933	212	3	(	(	PUNCT
ejpam-5933	212	4	2−	2−	NUM
ejpam-5933	212	5	a)m(a	a)m(a	NOUN
ejpam-5933	212	6	)	)	PUNCT
ejpam-5933	212	7	∫	∫	PROPN
ejpam-5933	212	8	s	s	PART
ejpam-5933	212	9	0	0	PROPN
ejpam-5933	212	10	k2(ξ	k2(ξ	PROPN
ejpam-5933	212	11	,	,	PUNCT
ejpam-5933	212	12	e⋆)dξ	e⋆)dξ	NOUN
ejpam-5933	212	13	,	,	PUNCT
ejpam-5933	212	14	i⋆(s	i⋆(	NOUN
ejpam-5933	212	15	)	)	PUNCT
ejpam-5933	213	1	=	=	SYM
ejpam-5933	213	2	i(0	i(0	PROPN
ejpam-5933	213	3	)	)	PUNCT
ejpam-5933	214	1	+	+	CCONJ
ejpam-5933	214	2	2(1−	2(1−	X
ejpam-5933	214	3	a	a	X
ejpam-5933	214	4	)	)	PUNCT
ejpam-5933	214	5	(	(	PUNCT
ejpam-5933	214	6	2−	2−	NUM
ejpam-5933	214	7	a)m(a	a)m(a	NOUN
ejpam-5933	214	8	)	)	PUNCT
ejpam-5933	214	9	k3(s	k3(s	PROPN
ejpam-5933	214	10	,	,	PUNCT
ejpam-5933	214	11	i⋆	i⋆	PRON
ejpam-5933	214	12	)	)	PUNCT
ejpam-5933	215	1	+	+	NUM
ejpam-5933	215	2	2a	2a	NUM
ejpam-5933	215	3	(	(	PUNCT
ejpam-5933	215	4	2−	2−	NUM
ejpam-5933	215	5	a)m(a	a)m(a	NOUN
ejpam-5933	215	6	)	)	PUNCT
ejpam-5933	215	7	∫	∫	PROPN
ejpam-5933	215	8	s	s	PART
ejpam-5933	215	9	0	0	NUM
ejpam-5933	215	10	k3(ξ	k3(ξ	PROPN
ejpam-5933	215	11	,	,	PUNCT
ejpam-5933	215	12	i⋆)dξ	i⋆)dξ	VERB
ejpam-5933	215	13	r⋆(s	r⋆(	NOUN
ejpam-5933	215	14	)	)	PUNCT
ejpam-5933	215	15	=	=	SYM
ejpam-5933	215	16	r(0	r(0	PROPN
ejpam-5933	215	17	)	)	PUNCT
ejpam-5933	216	1	+	+	CCONJ
ejpam-5933	216	2	2(1−	2(1−	NUM
ejpam-5933	216	3	a	a	X
ejpam-5933	216	4	)	)	PUNCT
ejpam-5933	216	5	(	(	PUNCT
ejpam-5933	216	6	2−	2−	NUM
ejpam-5933	216	7	a)m(a	a)m(a	NOUN
ejpam-5933	216	8	)	)	PUNCT
ejpam-5933	216	9	k4(s	k4(s	PROPN
ejpam-5933	216	10	,	,	PUNCT
ejpam-5933	216	11	r⋆	r⋆	NUM
ejpam-5933	216	12	)	)	PUNCT
ejpam-5933	217	1	+	+	NUM
ejpam-5933	217	2	2a	2a	NUM
ejpam-5933	217	3	(	(	PUNCT
ejpam-5933	217	4	2−	2−	NUM
ejpam-5933	217	5	a)m(a	a)m(a	NOUN
ejpam-5933	217	6	)	)	PUNCT
ejpam-5933	217	7	∫	∫	PROPN
ejpam-5933	217	8	s	s	PART
ejpam-5933	217	9	0	0	NUM
ejpam-5933	217	10	k4(ξ	k4(ξ	PROPN
ejpam-5933	217	11	,	,	PUNCT
ejpam-5933	217	12	r⋆)dξ	r⋆)dξ	NOUN
ejpam-5933	217	13	.	.	PUNCT
ejpam-5933	218	1	now	now	ADV
ejpam-5933	218	2	,	,	PUNCT
ejpam-5933	218	3	||s	||	NOUN
ejpam-5933	218	4	−	−	NOUN
ejpam-5933	218	5	s⋆||	s⋆||	NOUN
ejpam-5933	218	6	=	=	SYM
ejpam-5933	218	7	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5933	218	8	2(1−	2(1−	NUM
ejpam-5933	218	9	a	a	X
ejpam-5933	218	10	)	)	PUNCT
ejpam-5933	218	11	(	(	PUNCT
ejpam-5933	218	12	2−	2−	NUM
ejpam-5933	218	13	a)m(a	a)m(a	NOUN
ejpam-5933	218	14	)	)	PUNCT
ejpam-5933	218	15	(	(	PUNCT
ejpam-5933	218	16	k1(s	k1(s	PROPN
ejpam-5933	218	17	,	,	PUNCT
ejpam-5933	218	18	s)−k1(s	s)−k1(s	NOUN
ejpam-5933	218	19	,	,	PUNCT
ejpam-5933	218	20	s⋆	s⋆	ADJ
ejpam-5933	218	21	)	)	PUNCT
ejpam-5933	218	22	)	)	PUNCT
ejpam-5933	219	1	+	+	CCONJ
ejpam-5933	219	2	2a	2a	NUM
ejpam-5933	219	3	(	(	PUNCT
ejpam-5933	219	4	2−	2−	NUM
ejpam-5933	219	5	a)m(a	a)m(a	NOUN
ejpam-5933	219	6	)	)	PUNCT
ejpam-5933	219	7	∫	∫	PROPN
ejpam-5933	219	8	s	s	PART
ejpam-5933	219	9	0	0	NUM
ejpam-5933	219	10	(	(	PUNCT
ejpam-5933	219	11	k1(ξ	k1(ξ	NOUN
ejpam-5933	219	12	,	,	PUNCT
ejpam-5933	219	13	s)−k1(ξ	s)−k1(ξ	ADJ
ejpam-5933	219	14	,	,	PUNCT
ejpam-5933	219	15	s⋆))dξ	s⋆))dξ	VERB
ejpam-5933	219	16	∥∥∥∥	∥∥∥∥	NOUN
ejpam-5933	219	17	≤	≤	NOUN
ejpam-5933	219	18	2(1−	2(1−	X
ejpam-5933	219	19	a	a	X
ejpam-5933	219	20	)	)	PUNCT
ejpam-5933	219	21	(	(	PUNCT
ejpam-5933	219	22	2−	2−	NUM
ejpam-5933	219	23	a)m(a	a)m(a	NOUN
ejpam-5933	219	24	)	)	PUNCT
ejpam-5933	219	25	∥∥k1(s	∥∥k1(	NOUN
ejpam-5933	219	26	,	,	PUNCT
ejpam-5933	219	27	s)−k1(s	s)−k1(	NOUN
ejpam-5933	219	28	,	,	PUNCT
ejpam-5933	219	29	s⋆	s⋆	X
ejpam-5933	219	30	)	)	PUNCT
ejpam-5933	219	31	∥∥	∥∥	X
ejpam-5933	220	1	+	+	NUM
ejpam-5933	220	2	2a	2a	NUM
ejpam-5933	220	3	(	(	PUNCT
ejpam-5933	220	4	2−	2−	NUM
ejpam-5933	220	5	a)m(a	a)m(a	NOUN
ejpam-5933	220	6	)	)	PUNCT
ejpam-5933	220	7	∫	∫	PROPN
ejpam-5933	220	8	s	s	PART
ejpam-5933	220	9	0	0	NUM
ejpam-5933	220	10	∥∥k1(ξ	∥∥k1(ξ	NOUN
ejpam-5933	220	11	,	,	PUNCT
ejpam-5933	220	12	s)−k1(ξ	s)−k1(ξ	NOUN
ejpam-5933	220	13	,	,	PUNCT
ejpam-5933	220	14	s⋆	s⋆	NOUN
ejpam-5933	220	15	)	)	PUNCT
ejpam-5933	220	16	)	)	PUNCT
ejpam-5933	221	1	∥∥dξ	∥∥dξ	PROPN
ejpam-5933	221	2	≤	≤	NOUN
ejpam-5933	221	3	2(1−	2(1−	NUM
ejpam-5933	221	4	a	a	X
ejpam-5933	221	5	)	)	PUNCT
ejpam-5933	221	6	(	(	PUNCT
ejpam-5933	221	7	2−	2−	NUM
ejpam-5933	221	8	a)m(a	a)m(a	NOUN
ejpam-5933	221	9	)	)	PUNCT
ejpam-5933	221	10	j1||s	j1||s	NOUN
ejpam-5933	221	11	−	−	PROPN
ejpam-5933	221	12	s⋆||	s⋆||	NOUN
ejpam-5933	221	13	+	+	CCONJ
ejpam-5933	221	14	2a	2a	NUM
ejpam-5933	221	15	(	(	PUNCT
ejpam-5933	221	16	2−	2−	NUM
ejpam-5933	221	17	a)m(a	a)m(a	NOUN
ejpam-5933	221	18	)	)	PUNCT
ejpam-5933	221	19	∫	∫	PROPN
ejpam-5933	221	20	s	s	PART
ejpam-5933	221	21	0	0	NUM
ejpam-5933	221	22	j1||s	j1||s	PROPN
ejpam-5933	221	23	−	−	PROPN
ejpam-5933	221	24	s⋆||dξ	s⋆||dξ	PROPN
ejpam-5933	221	25	=	=	PUNCT
ejpam-5933	222	1	2(1−	2(1−	PROPN
ejpam-5933	222	2	a	a	NOUN
ejpam-5933	222	3	)	)	PUNCT
ejpam-5933	222	4	(	(	PUNCT
ejpam-5933	222	5	2−	2−	NUM
ejpam-5933	222	6	a)m(a	a)m(a	NOUN
ejpam-5933	222	7	)	)	PUNCT
ejpam-5933	222	8	j1||s	j1||s	NOUN
ejpam-5933	222	9	−	−	PROPN
ejpam-5933	222	10	s⋆||	s⋆||	NOUN
ejpam-5933	222	11	+	+	CCONJ
ejpam-5933	222	12	2a	2a	NUM
ejpam-5933	222	13	(	(	PUNCT
ejpam-5933	222	14	2−	2−	NUM
ejpam-5933	222	15	a)m(a	a)m(a	NOUN
ejpam-5933	222	16	)	)	PUNCT
ejpam-5933	222	17	j1	j1	PROPN
ejpam-5933	222	18	∫	∫	PROPN
ejpam-5933	222	19	s	s	PART
ejpam-5933	222	20	0	0	NUM
ejpam-5933	222	21	||s	||	NOUN
ejpam-5933	222	22	−	−	PROPN
ejpam-5933	222	23	s⋆||dξ	s⋆||dξ	PROPN
ejpam-5933	222	24	≤	≤	PROPN
ejpam-5933	222	25	(	(	PUNCT
ejpam-5933	222	26	2(1−	2(1−	NOUN
ejpam-5933	222	27	a	a	NOUN
ejpam-5933	222	28	)	)	PUNCT
ejpam-5933	222	29	(	(	PUNCT
ejpam-5933	222	30	2−	2−	NUM
ejpam-5933	222	31	a)m(a	a)m(a	NOUN
ejpam-5933	222	32	)	)	PUNCT
ejpam-5933	223	1	+	+	NUM
ejpam-5933	223	2	2as	2as	NUM
ejpam-5933	223	3	(	(	PUNCT
ejpam-5933	223	4	2−	2−	NUM
ejpam-5933	223	5	a)m(a	a)m(a	NOUN
ejpam-5933	223	6	)	)	PUNCT
ejpam-5933	223	7	)	)	PUNCT
ejpam-5933	224	1	j1||s	j1||s	NOUN
ejpam-5933	224	2	−	−	PROPN
ejpam-5933	224	3	s⋆||	s⋆||	NOUN
ejpam-5933	224	4	≤	≤	NOUN
ejpam-5933	224	5	(	(	PUNCT
ejpam-5933	224	6	2(1−	2(1−	X
ejpam-5933	224	7	a	a	NOUN
ejpam-5933	224	8	)	)	PUNCT
ejpam-5933	224	9	(	(	PUNCT
ejpam-5933	224	10	2−	2−	NUM
ejpam-5933	224	11	a)m(a	a)m(a	NOUN
ejpam-5933	224	12	)	)	PUNCT
ejpam-5933	224	13	+	+	NUM
ejpam-5933	224	14	2as	2as	NUM
ejpam-5933	224	15	(	(	PUNCT
ejpam-5933	224	16	2−	2−	NUM
ejpam-5933	224	17	a)m(a	a)m(a	NOUN
ejpam-5933	224	18	)	)	PUNCT
ejpam-5933	224	19	)	)	PUNCT
ejpam-5933	225	1	j1||s	j1||s	NOUN
ejpam-5933	225	2	−	−	PROPN
ejpam-5933	225	3	s⋆||	s⋆||	NOUN
ejpam-5933	225	4	,	,	PUNCT
ejpam-5933	225	5	which	which	PRON
ejpam-5933	225	6	implies	imply	VERB
ejpam-5933	225	7	that	that	SCONJ
ejpam-5933	225	8	(	(	PUNCT
ejpam-5933	225	9	1−	1−	NUM
ejpam-5933	225	10	(	(	PUNCT
ejpam-5933	225	11	2(1−	2(1−	NOUN
ejpam-5933	225	12	a	a	NOUN
ejpam-5933	225	13	)	)	PUNCT
ejpam-5933	225	14	(	(	PUNCT
ejpam-5933	225	15	2−	2−	NUM
ejpam-5933	225	16	a)m(a	a)m(a	NOUN
ejpam-5933	225	17	)	)	PUNCT
ejpam-5933	225	18	+	+	NUM
ejpam-5933	225	19	2as	2as	NUM
ejpam-5933	225	20	(	(	PUNCT
ejpam-5933	225	21	2−	2−	NUM
ejpam-5933	225	22	a)m(a	a)m(a	NOUN
ejpam-5933	225	23	)	)	PUNCT
ejpam-5933	225	24	)	)	PUNCT
ejpam-5933	225	25	j1	j1	PROPN
ejpam-5933	225	26	)	)	PUNCT
ejpam-5933	225	27	||s	||	NOUN
ejpam-5933	225	28	−	−	NOUN
ejpam-5933	225	29	s⋆||	s⋆||	VERB
ejpam-5933	225	30	≤	≤	NOUN
ejpam-5933	225	31	0	0	NUM
ejpam-5933	225	32	.	.	PUNCT
ejpam-5933	226	1	r.	r.	PROPN
ejpam-5933	226	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	226	3	et	et	PROPN
ejpam-5933	226	4	al	al	PROPN
ejpam-5933	226	5	.	.	PUNCT
ejpam-5933	226	6	/	/	SYM
ejpam-5933	226	7	eur	eur	PROPN
ejpam-5933	226	8	.	.	PUNCT
ejpam-5933	227	1	j.	j.	PROPN
ejpam-5933	227	2	pure	pure	PROPN
ejpam-5933	227	3	appl	appl	PROPN
ejpam-5933	227	4	.	.	PROPN
ejpam-5933	227	5	math	math	PROPN
ejpam-5933	227	6	,	,	PUNCT
ejpam-5933	227	7	18	18	NUM
ejpam-5933	227	8	(	(	PUNCT
ejpam-5933	227	9	2	2	NUM
ejpam-5933	227	10	)	)	PUNCT
ejpam-5933	227	11	(	(	PUNCT
ejpam-5933	227	12	2025	2025	NUM
ejpam-5933	227	13	)	)	PUNCT
ejpam-5933	227	14	,	,	PUNCT
ejpam-5933	227	15	5933	5933	NUM
ejpam-5933	227	16	12	12	NUM
ejpam-5933	227	17	of	of	ADP
ejpam-5933	227	18	25	25	NUM
ejpam-5933	227	19	therefore	therefore	ADV
ejpam-5933	227	20	,	,	PUNCT
ejpam-5933	227	21	||s	||	NOUN
ejpam-5933	227	22	−	−	NOUN
ejpam-5933	227	23	s⋆||	s⋆||	NOUN
ejpam-5933	227	24	=	=	NOUN
ejpam-5933	227	25	0	0	NUM
ejpam-5933	227	26	.	.	PUNCT
ejpam-5933	228	1	hence	hence	ADV
ejpam-5933	228	2	,	,	PUNCT
ejpam-5933	228	3	s	s	PART
ejpam-5933	228	4	=	=	X
ejpam-5933	228	5	s⋆.	s⋆.	NOUN
ejpam-5933	228	6	similarly	similarly	ADV
ejpam-5933	228	7	,	,	PUNCT
ejpam-5933	228	8	we	we	PRON
ejpam-5933	228	9	can	can	AUX
ejpam-5933	228	10	prove	prove	VERB
ejpam-5933	228	11	v	v	NOUN
ejpam-5933	228	12	=	=	SYM
ejpam-5933	228	13	v⋆	v⋆	NOUN
ejpam-5933	228	14	,	,	PUNCT
ejpam-5933	228	15	e	e	NOUN
ejpam-5933	228	16	=	=	PUNCT
ejpam-5933	228	17	e⋆	e⋆	PROPN
ejpam-5933	228	18	,	,	PUNCT
ejpam-5933	228	19	i	i	PRON
ejpam-5933	228	20	=	=	NOUN
ejpam-5933	228	21	i⋆,r	i⋆,r	NUM
ejpam-5933	228	22	=	=	SYM
ejpam-5933	228	23	r⋆.	r⋆.	NOUN
ejpam-5933	228	24	hence	hence	ADV
ejpam-5933	228	25	,	,	PUNCT
ejpam-5933	228	26	the	the	DET
ejpam-5933	228	27	system	system	NOUN
ejpam-5933	228	28	(	(	PUNCT
ejpam-5933	228	29	1	1	X
ejpam-5933	228	30	)	)	PUNCT
ejpam-5933	228	31	has	have	VERB
ejpam-5933	228	32	a	a	DET
ejpam-5933	228	33	unique	unique	ADJ
ejpam-5933	228	34	solution	solution	NOUN
ejpam-5933	228	35	.	.	PUNCT
ejpam-5933	229	1	3	3	X
ejpam-5933	229	2	.	.	X
ejpam-5933	229	3	ulam	ulam	NOUN
ejpam-5933	229	4	-	-	PUNCT
ejpam-5933	229	5	hyers	hyer	NOUN
ejpam-5933	229	6	stability	stability	NOUN
ejpam-5933	229	7	in	in	ADP
ejpam-5933	229	8	this	this	DET
ejpam-5933	229	9	section	section	NOUN
ejpam-5933	229	10	,	,	PUNCT
ejpam-5933	229	11	we	we	PRON
ejpam-5933	229	12	obtain	obtain	VERB
ejpam-5933	229	13	the	the	DET
ejpam-5933	229	14	ulam	ulam	NOUN
ejpam-5933	229	15	-	-	PUNCT
ejpam-5933	229	16	hyers	hyer	NOUN
ejpam-5933	229	17	stability	stability	NOUN
ejpam-5933	229	18	of	of	ADP
ejpam-5933	229	19	the	the	DET
ejpam-5933	229	20	system	system	NOUN
ejpam-5933	229	21	(	(	PUNCT
ejpam-5933	229	22	1	1	NUM
ejpam-5933	229	23	)	)	PUNCT
ejpam-5933	229	24	.	.	PUNCT
ejpam-5933	230	1	we	we	PRON
ejpam-5933	230	2	state	state	VERB
ejpam-5933	230	3	the	the	DET
ejpam-5933	230	4	required	required	ADJ
ejpam-5933	230	5	definition	definition	NOUN
ejpam-5933	230	6	.	.	PUNCT
ejpam-5933	231	1	definition	definition	NOUN
ejpam-5933	231	2	6	6	NUM
ejpam-5933	231	3	.	.	PUNCT
ejpam-5933	232	1	the	the	DET
ejpam-5933	232	2	system	system	NOUN
ejpam-5933	232	3	(	(	PUNCT
ejpam-5933	232	4	1	1	X
ejpam-5933	232	5	)	)	PUNCT
ejpam-5933	232	6	has	have	VERB
ejpam-5933	232	7	ulam	ulam	NOUN
ejpam-5933	232	8	-	-	PUNCT
ejpam-5933	232	9	hyers	hyer	NOUN
ejpam-5933	232	10	stability	stability	NOUN
ejpam-5933	232	11	if	if	SCONJ
ejpam-5933	232	12	there	there	PRON
ejpam-5933	232	13	exist	exist	VERB
ejpam-5933	232	14	constants	constant	NOUN
ejpam-5933	232	15	ki	ki	PROPN
ejpam-5933	232	16	>	>	X
ejpam-5933	232	17	0	0	PROPN
ejpam-5933	232	18	,	,	PUNCT
ejpam-5933	232	19	i	i	PRON
ejpam-5933	232	20	=	=	NOUN
ejpam-5933	232	21	1	1	NUM
ejpam-5933	232	22	,	,	PUNCT
ejpam-5933	232	23	2	2	NUM
ejpam-5933	232	24	,	,	PUNCT
ejpam-5933	232	25	3	3	NUM
ejpam-5933	232	26	,	,	PUNCT
ejpam-5933	232	27	4	4	NUM
ejpam-5933	232	28	satisfying	satisfy	VERB
ejpam-5933	232	29	:	:	PUNCT
ejpam-5933	232	30	for	for	ADP
ejpam-5933	232	31	every	every	DET
ejpam-5933	232	32	ϵi	ϵi	PROPN
ejpam-5933	232	33	>	>	X
ejpam-5933	232	34	0	0	NUM
ejpam-5933	232	35	,	,	PUNCT
ejpam-5933	232	36	i	i	PRON
ejpam-5933	232	37	=	=	NOUN
ejpam-5933	232	38	1	1	NUM
ejpam-5933	232	39	,	,	PUNCT
ejpam-5933	232	40	2	2	NUM
ejpam-5933	232	41	,	,	PUNCT
ejpam-5933	232	42	3	3	NUM
ejpam-5933	232	43	,	,	PUNCT
ejpam-5933	232	44	4	4	NUM
ejpam-5933	232	45	,	,	PUNCT
ejpam-5933	232	46	if	if	PROPN
ejpam-5933	232	47	∣∣∣∣cfda	∣∣∣∣cfda	PROPN
ejpam-5933	232	48	ss(s)−k1(s	ss(s)−k1(s	PROPN
ejpam-5933	232	49	,	,	PUNCT
ejpam-5933	232	50	s	s	PART
ejpam-5933	232	51	)	)	PUNCT
ejpam-5933	232	52	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5933	232	53	≤	≤	NOUN
ejpam-5933	233	1	ϵ1,∣∣∣∣cfda	ϵ1,∣∣∣∣cfda	PROPN
ejpam-5933	233	2	se(s)−k2(s	se(s)−k2(s	PROPN
ejpam-5933	233	3	,	,	PUNCT
ejpam-5933	233	4	e	e	NOUN
ejpam-5933	233	5	)	)	PUNCT
ejpam-5933	233	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	233	7	≤	≤	NOUN
ejpam-5933	233	8	ϵ2,∣∣∣∣cfda	ϵ2,∣∣∣∣cfda	NOUN
ejpam-5933	233	9	si(s)−k3(s	si(s)−k3(s	PROPN
ejpam-5933	233	10	,	,	PUNCT
ejpam-5933	233	11	i	i	PROPN
ejpam-5933	233	12	)	)	PUNCT
ejpam-5933	233	13	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5933	233	14	≤	≤	PUNCT
ejpam-5933	233	15	ϵ3,∣∣∣∣cfda	ϵ3,∣∣∣∣cfda	PROPN
ejpam-5933	233	16	sr(s)−k4(s	sr(s)−k4(s	PROPN
ejpam-5933	233	17	,	,	PUNCT
ejpam-5933	233	18	r	r	NOUN
ejpam-5933	233	19	)	)	PUNCT
ejpam-5933	233	20	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5933	233	21	≤	≤	NOUN
ejpam-5933	233	22	ϵ4	ϵ4	NOUN
ejpam-5933	233	23	,	,	PUNCT
ejpam-5933	233	24	(	(	PUNCT
ejpam-5933	233	25	15	15	NUM
ejpam-5933	233	26	)	)	PUNCT
ejpam-5933	233	27	and	and	CCONJ
ejpam-5933	233	28	there	there	PRON
ejpam-5933	233	29	exists	exist	VERB
ejpam-5933	233	30	a	a	DET
ejpam-5933	233	31	solution	solution	NOUN
ejpam-5933	233	32	of	of	ADP
ejpam-5933	233	33	the	the	DET
ejpam-5933	233	34	system	system	NOUN
ejpam-5933	233	35	(	(	PUNCT
ejpam-5933	233	36	1	1	NUM
ejpam-5933	233	37	)	)	PUNCT
ejpam-5933	233	38	,	,	PUNCT
ejpam-5933	233	39	s⋆(s	s⋆(	NOUN
ejpam-5933	233	40	)	)	PUNCT
ejpam-5933	233	41	,	,	PUNCT
ejpam-5933	233	42	e⋆(s	e⋆(s	PROPN
ejpam-5933	233	43	)	)	PUNCT
ejpam-5933	233	44	,	,	PUNCT
ejpam-5933	233	45	i⋆(s	i⋆(	NOUN
ejpam-5933	233	46	)	)	PUNCT
ejpam-5933	233	47	and	and	CCONJ
ejpam-5933	233	48	r⋆(s	r⋆(	NOUN
ejpam-5933	233	49	)	)	PUNCT
ejpam-5933	233	50	that	that	SCONJ
ejpam-5933	233	51	statisfying	statisfye	VERB
ejpam-5933	233	52	the	the	DET
ejpam-5933	233	53	given	give	VERB
ejpam-5933	233	54	model	model	NOUN
ejpam-5933	233	55	,	,	PUNCT
ejpam-5933	233	56	such	such	ADJ
ejpam-5933	233	57	that	that	SCONJ
ejpam-5933	233	58	||s	||	NOUN
ejpam-5933	233	59	−	−	NOUN
ejpam-5933	233	60	s⋆||	s⋆||	VERB
ejpam-5933	233	61	≤	≤	NUM
ejpam-5933	233	62	η1ϵ1	η1ϵ1	PROPN
ejpam-5933	233	63	,	,	PUNCT
ejpam-5933	233	64	||e	||e	PROPN
ejpam-5933	233	65	−	−	PROPN
ejpam-5933	233	66	e⋆||	e⋆||	NOUN
ejpam-5933	233	67	≤	≤	ADV
ejpam-5933	233	68	η2ϵ2	η2ϵ2	SYM
ejpam-5933	233	69	,	,	PUNCT
ejpam-5933	233	70	||i	||i	VERB
ejpam-5933	233	71	−	−	PROPN
ejpam-5933	233	72	i⋆||	i⋆||	NOUN
ejpam-5933	233	73	≤	≤	PROPN
ejpam-5933	233	74	η3ϵ3	η3ϵ3	ADP
ejpam-5933	233	75	,	,	PUNCT
ejpam-5933	233	76	||r	||r	NOUN
ejpam-5933	233	77	−r⋆||	−r⋆||	VERB
ejpam-5933	233	78	≤	≤	ADV
ejpam-5933	233	79	η4ϵ4	η4ϵ4	X
ejpam-5933	233	80	.	.	PROPN
ejpam-5933	233	81	remark	remark	PROPN
ejpam-5933	233	82	1	1	NUM
ejpam-5933	233	83	.	.	PUNCT
ejpam-5933	234	1	consider	consider	VERB
ejpam-5933	234	2	that	that	DET
ejpam-5933	234	3	function	function	NOUN
ejpam-5933	234	4	s	s	VERB
ejpam-5933	234	5	is	be	AUX
ejpam-5933	234	6	a	a	DET
ejpam-5933	234	7	solution	solution	NOUN
ejpam-5933	234	8	of	of	ADP
ejpam-5933	234	9	the	the	DET
ejpam-5933	234	10	first	first	ADJ
ejpam-5933	234	11	inequality	inequality	NOUN
ejpam-5933	234	12	(	(	PUNCT
ejpam-5933	234	13	15	15	NUM
ejpam-5933	234	14	)	)	PUNCT
ejpam-5933	234	15	iff	iff	VERB
ejpam-5933	234	16	a	a	DET
ejpam-5933	234	17	continuous	continuous	ADJ
ejpam-5933	234	18	function	function	NOUN
ejpam-5933	234	19	h1	h1	NOUN
ejpam-5933	234	20	exists	exist	VERB
ejpam-5933	234	21	(	(	PUNCT
ejpam-5933	234	22	depending	depend	VERB
ejpam-5933	234	23	on	on	ADP
ejpam-5933	234	24	s1	s1	NOUN
ejpam-5933	234	25	)	)	PUNCT
ejpam-5933	235	1	so	so	SCONJ
ejpam-5933	235	2	that	that	SCONJ
ejpam-5933	235	3	(	(	PUNCT
ejpam-5933	235	4	i	i	NOUN
ejpam-5933	235	5	)	)	PUNCT
ejpam-5933	235	6	|h1(s)|	|h1(s)|	PROPN
ejpam-5933	235	7	<	<	X
ejpam-5933	235	8	ϵ1	ϵ1	PROPN
ejpam-5933	235	9	,	,	PUNCT
ejpam-5933	235	10	and	and	CCONJ
ejpam-5933	235	11	(	(	PUNCT
ejpam-5933	235	12	ii	ii	NOUN
ejpam-5933	235	13	)	)	PUNCT
ejpam-5933	235	14	cfda	cfda	PROPN
ejpam-5933	235	15	ss(s	ss(s	PUNCT
ejpam-5933	235	16	)	)	PUNCT
ejpam-5933	236	1	=	=	SYM
ejpam-5933	236	2	w1(s	w1(s	PROPN
ejpam-5933	236	3	,	,	PUNCT
ejpam-5933	236	4	s	s	PART
ejpam-5933	236	5	)	)	PUNCT
ejpam-5933	236	6	+	+	CCONJ
ejpam-5933	236	7	h1(s	h1(s	NUM
ejpam-5933	236	8	)	)	PUNCT
ejpam-5933	236	9	.	.	PUNCT
ejpam-5933	237	1	similarly	similarly	ADV
ejpam-5933	237	2	,	,	PUNCT
ejpam-5933	237	3	we	we	PRON
ejpam-5933	237	4	can	can	AUX
ejpam-5933	237	5	define	define	VERB
ejpam-5933	237	6	for	for	ADP
ejpam-5933	237	7	other	other	ADJ
ejpam-5933	237	8	classes	class	NOUN
ejpam-5933	237	9	of	of	ADP
ejpam-5933	237	10	the	the	DET
ejpam-5933	237	11	model	model	NOUN
ejpam-5933	237	12	(	(	PUNCT
ejpam-5933	237	13	15	15	NUM
ejpam-5933	237	14	)	)	PUNCT
ejpam-5933	237	15	for	for	ADP
ejpam-5933	237	16	some	some	DET
ejpam-5933	237	17	hi	hi	INTJ
ejpam-5933	237	18	where	where	SCONJ
ejpam-5933	237	19	i	i	PRON
ejpam-5933	237	20	=	=	NOUN
ejpam-5933	237	21	2	2	NUM
ejpam-5933	237	22	,	,	PUNCT
ejpam-5933	237	23	3	3	NUM
ejpam-5933	237	24	,	,	PUNCT
ejpam-5933	237	25	4	4	NUM
ejpam-5933	237	26	.	.	PUNCT
ejpam-5933	237	27	theorem	theorem	ADJ
ejpam-5933	237	28	7	7	PROPN
ejpam-5933	237	29	.	.	PUNCT
ejpam-5933	237	30	assume	assume	VERB
ejpam-5933	237	31	that	that	SCONJ
ejpam-5933	237	32	the	the	DET
ejpam-5933	237	33	hypothesis	hypothesis	NOUN
ejpam-5933	237	34	(	(	PUNCT
ejpam-5933	237	35	g	g	NOUN
ejpam-5933	237	36	)	)	PUNCT
ejpam-5933	237	37	holds	hold	VERB
ejpam-5933	237	38	true	true	ADJ
ejpam-5933	237	39	.	.	PUNCT
ejpam-5933	238	1	then	then	ADV
ejpam-5933	238	2	the	the	DET
ejpam-5933	238	3	system	system	NOUN
ejpam-5933	238	4	(	(	PUNCT
ejpam-5933	238	5	1	1	X
ejpam-5933	238	6	)	)	PUNCT
ejpam-5933	238	7	is	be	AUX
ejpam-5933	238	8	ulamhyers	ulamhyer	NOUN
ejpam-5933	238	9	stable	stable	ADJ
ejpam-5933	238	10	if	if	SCONJ
ejpam-5933	238	11	(	(	PUNCT
ejpam-5933	238	12	2(1−	2(1−	NOUN
ejpam-5933	238	13	a	a	NOUN
ejpam-5933	238	14	)	)	PUNCT
ejpam-5933	238	15	(	(	PUNCT
ejpam-5933	238	16	2−	2−	NUM
ejpam-5933	238	17	a)m(a	a)m(a	NOUN
ejpam-5933	238	18	)	)	PUNCT
ejpam-5933	238	19	+	+	NUM
ejpam-5933	239	1	2as	2as	NUM
ejpam-5933	239	2	(	(	PUNCT
ejpam-5933	239	3	2−	2−	NUM
ejpam-5933	239	4	a)m(a	a)m(a	NOUN
ejpam-5933	239	5	)	)	PUNCT
ejpam-5933	239	6	)	)	PUNCT
ejpam-5933	240	1	ji	ji	PROPN
ejpam-5933	240	2	≤	≤	ADV
ejpam-5933	240	3	1	1	NUM
ejpam-5933	240	4	,	,	PUNCT
ejpam-5933	240	5	for	for	ADP
ejpam-5933	240	6	i	i	PROPN
ejpam-5933	240	7	=	=	SYM
ejpam-5933	240	8	1	1	NUM
ejpam-5933	240	9	,	,	PUNCT
ejpam-5933	240	10	2	2	NUM
ejpam-5933	240	11	,	,	PUNCT
ejpam-5933	240	12	3	3	NUM
ejpam-5933	240	13	,	,	PUNCT
ejpam-5933	240	14	4	4	NUM
ejpam-5933	240	15	.	.	PUNCT
ejpam-5933	240	16	proof	proof	NOUN
ejpam-5933	240	17	.	.	PUNCT
ejpam-5933	241	1	let	let	AUX
ejpam-5933	241	2	ϵ1	ϵ1	VERB
ejpam-5933	241	3	>	>	X
ejpam-5933	241	4	0	0	PUNCT
ejpam-5933	242	1	and	and	CCONJ
ejpam-5933	242	2	the	the	DET
ejpam-5933	242	3	function	function	NOUN
ejpam-5933	242	4	s	s	AUX
ejpam-5933	242	5	be	be	AUX
ejpam-5933	242	6	arbitary	arbitary	ADJ
ejpam-5933	242	7	such	such	ADJ
ejpam-5933	242	8	that∣∣∣∣cfda	that∣∣∣∣cfda	NUM
ejpam-5933	242	9	ss(s)−k1(s	ss(s)−k1(s	PROPN
ejpam-5933	242	10	,	,	PUNCT
ejpam-5933	242	11	s	s	PART
ejpam-5933	242	12	)	)	PUNCT
ejpam-5933	242	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5933	242	14	≤	≤	NUM
ejpam-5933	242	15	ϵ1	ϵ1	NOUN
ejpam-5933	242	16	.	.	PUNCT
ejpam-5933	243	1	r.	r.	PROPN
ejpam-5933	243	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	243	3	et	et	PROPN
ejpam-5933	243	4	al	al	PROPN
ejpam-5933	243	5	.	.	PUNCT
ejpam-5933	243	6	/	/	SYM
ejpam-5933	243	7	eur	eur	PROPN
ejpam-5933	243	8	.	.	PUNCT
ejpam-5933	244	1	j.	j.	PROPN
ejpam-5933	244	2	pure	pure	PROPN
ejpam-5933	244	3	appl	appl	PROPN
ejpam-5933	244	4	.	.	PROPN
ejpam-5933	244	5	math	math	PROPN
ejpam-5933	244	6	,	,	PUNCT
ejpam-5933	244	7	18	18	NUM
ejpam-5933	244	8	(	(	PUNCT
ejpam-5933	244	9	2	2	NUM
ejpam-5933	244	10	)	)	PUNCT
ejpam-5933	244	11	(	(	PUNCT
ejpam-5933	244	12	2025	2025	NUM
ejpam-5933	244	13	)	)	PUNCT
ejpam-5933	244	14	,	,	PUNCT
ejpam-5933	244	15	5933	5933	NUM
ejpam-5933	244	16	13	13	NUM
ejpam-5933	244	17	of	of	ADP
ejpam-5933	244	18	25	25	NUM
ejpam-5933	244	19	according	accord	VERB
ejpam-5933	244	20	to	to	ADP
ejpam-5933	244	21	remark	remark	NOUN
ejpam-5933	244	22	1	1	NUM
ejpam-5933	244	23	,	,	PUNCT
ejpam-5933	244	24	we	we	PRON
ejpam-5933	244	25	have	have	VERB
ejpam-5933	244	26	a	a	DET
ejpam-5933	244	27	function	function	NOUN
ejpam-5933	244	28	h1	h1	NOUN
ejpam-5933	244	29	with	with	ADP
ejpam-5933	244	30	|h1|	|h1|	PROPN
ejpam-5933	244	31	<	<	X
ejpam-5933	244	32	ϵ1	ϵ1	PROPN
ejpam-5933	244	33	,	,	PUNCT
ejpam-5933	244	34	which	which	PRON
ejpam-5933	244	35	satisfies	satisfy	VERB
ejpam-5933	244	36	cfda	cfda	PROPN
ejpam-5933	244	37	ss(s	ss(s	PUNCT
ejpam-5933	244	38	)	)	PUNCT
ejpam-5933	245	1	=	=	SYM
ejpam-5933	245	2	w1(s	w1(s	PROPN
ejpam-5933	245	3	,	,	PUNCT
ejpam-5933	245	4	s	s	PART
ejpam-5933	245	5	)	)	PUNCT
ejpam-5933	245	6	+	+	CCONJ
ejpam-5933	245	7	h1(s	h1(s	NUM
ejpam-5933	245	8	)	)	PUNCT
ejpam-5933	245	9	.	.	PUNCT
ejpam-5933	246	1	accordingly	accordingly	ADV
ejpam-5933	246	2	,	,	PUNCT
ejpam-5933	246	3	we	we	PRON
ejpam-5933	246	4	get	get	VERB
ejpam-5933	246	5	s(s	s(s	NUM
ejpam-5933	246	6	)	)	PUNCT
ejpam-5933	247	1	=	=	SYM
ejpam-5933	247	2	s(0	s(0	PROPN
ejpam-5933	247	3	)	)	PUNCT
ejpam-5933	248	1	+	+	CCONJ
ejpam-5933	248	2	2(1−	2(1−	NUM
ejpam-5933	248	3	a	a	X
ejpam-5933	248	4	)	)	PUNCT
ejpam-5933	248	5	(	(	PUNCT
ejpam-5933	248	6	2−	2−	NUM
ejpam-5933	248	7	a)m(a	a)m(a	NOUN
ejpam-5933	248	8	)	)	PUNCT
ejpam-5933	248	9	k1(s	k1(s	PROPN
ejpam-5933	248	10	,	,	PUNCT
ejpam-5933	248	11	s(s	s(s	PROPN
ejpam-5933	248	12	)	)	PUNCT
ejpam-5933	248	13	)	)	PUNCT
ejpam-5933	249	1	+	+	CCONJ
ejpam-5933	249	2	2a	2a	NUM
ejpam-5933	249	3	(	(	PUNCT
ejpam-5933	249	4	2−	2−	NUM
ejpam-5933	249	5	a)m(a	a)m(a	NOUN
ejpam-5933	249	6	)	)	PUNCT
ejpam-5933	249	7	∫	∫	PROPN
ejpam-5933	249	8	s	s	PART
ejpam-5933	249	9	0	0	NUM
ejpam-5933	249	10	k1(ξ	k1(ξ	NOUN
ejpam-5933	249	11	,	,	PUNCT
ejpam-5933	249	12	s(s))dξ	s(s))dξ	X
ejpam-5933	249	13	+	+	CCONJ
ejpam-5933	249	14	2(1−	2(1−	X
ejpam-5933	249	15	a	a	X
ejpam-5933	249	16	)	)	PUNCT
ejpam-5933	249	17	(	(	PUNCT
ejpam-5933	249	18	2−	2−	NUM
ejpam-5933	249	19	a)m(a	a)m(a	NOUN
ejpam-5933	249	20	)	)	PUNCT
ejpam-5933	249	21	h1(s	h1(s	NUM
ejpam-5933	249	22	)	)	PUNCT
ejpam-5933	250	1	+	+	NUM
ejpam-5933	250	2	2a	2a	NUM
ejpam-5933	250	3	(	(	PUNCT
ejpam-5933	250	4	2−	2−	NUM
ejpam-5933	250	5	a)m(a	a)m(a	NOUN
ejpam-5933	250	6	)	)	PUNCT
ejpam-5933	250	7	∫	∫	PROPN
ejpam-5933	250	8	s	s	PART
ejpam-5933	250	9	0	0	NUM
ejpam-5933	250	10	h1(ξ)dξ	h1(ξ)dξ	NOUN
ejpam-5933	250	11	.	.	PUNCT
ejpam-5933	251	1	let	let	VERB
ejpam-5933	251	2	s⋆	s⋆	PRON
ejpam-5933	251	3	be	be	AUX
ejpam-5933	251	4	the	the	DET
ejpam-5933	251	5	unique	unique	ADJ
ejpam-5933	251	6	solution	solution	NOUN
ejpam-5933	251	7	of	of	ADP
ejpam-5933	251	8	the	the	DET
ejpam-5933	251	9	system	system	NOUN
ejpam-5933	251	10	(	(	PUNCT
ejpam-5933	251	11	1	1	NUM
ejpam-5933	251	12	)	)	PUNCT
ejpam-5933	251	13	.	.	PUNCT
ejpam-5933	252	1	then	then	ADV
ejpam-5933	252	2	,	,	PUNCT
ejpam-5933	252	3	s⋆(s	s⋆(	NOUN
ejpam-5933	252	4	)	)	PUNCT
ejpam-5933	252	5	=	=	SYM
ejpam-5933	252	6	s(0	s(0	PROPN
ejpam-5933	252	7	)	)	PUNCT
ejpam-5933	253	1	+	+	CCONJ
ejpam-5933	253	2	2(1−	2(1−	NUM
ejpam-5933	253	3	a	a	X
ejpam-5933	253	4	)	)	PUNCT
ejpam-5933	253	5	(	(	PUNCT
ejpam-5933	253	6	2−	2−	NUM
ejpam-5933	253	7	a)m(a	a)m(a	NOUN
ejpam-5933	253	8	)	)	PUNCT
ejpam-5933	253	9	k1(s	k1(s	PROPN
ejpam-5933	253	10	,	,	PUNCT
ejpam-5933	253	11	s⋆(s	s⋆(	NOUN
ejpam-5933	253	12	)	)	PUNCT
ejpam-5933	253	13	)	)	PUNCT
ejpam-5933	254	1	+	+	CCONJ
ejpam-5933	254	2	2a	2a	NUM
ejpam-5933	254	3	(	(	PUNCT
ejpam-5933	254	4	2−	2−	NUM
ejpam-5933	254	5	a)m(a	a)m(a	NOUN
ejpam-5933	254	6	)	)	PUNCT
ejpam-5933	254	7	∫	∫	PROPN
ejpam-5933	254	8	s	s	PART
ejpam-5933	254	9	0	0	NUM
ejpam-5933	254	10	k1(ξ	k1(ξ	NOUN
ejpam-5933	254	11	,	,	PUNCT
ejpam-5933	254	12	s⋆(s))dξ	s⋆(s))dξ	PROPN
ejpam-5933	254	13	.	.	PUNCT
ejpam-5933	255	1	hence	hence	ADV
ejpam-5933	255	2	,	,	PUNCT
ejpam-5933	255	3	|s(s)−	|s(s)−	PROPN
ejpam-5933	255	4	s⋆(s)|	s⋆(s)|	NOUN
ejpam-5933	255	5	≤	≤	NUM
ejpam-5933	255	6	2(1−	2(1−	NUM
ejpam-5933	255	7	a	a	X
ejpam-5933	255	8	)	)	PUNCT
ejpam-5933	255	9	(	(	PUNCT
ejpam-5933	255	10	2−	2−	NUM
ejpam-5933	255	11	a)m(a	a)m(a	NOUN
ejpam-5933	255	12	)	)	PUNCT
ejpam-5933	255	13	|k1(s	|k1(s	PROPN
ejpam-5933	255	14	,	,	PUNCT
ejpam-5933	255	15	s(s))−k1(s	s(s))−k1(	NOUN
ejpam-5933	255	16	,	,	PUNCT
ejpam-5933	255	17	s⋆(s))|	s⋆(s))|	PROPN
ejpam-5933	255	18	+	+	CCONJ
ejpam-5933	255	19	2a	2a	NUM
ejpam-5933	255	20	(	(	PUNCT
ejpam-5933	255	21	2−	2−	NUM
ejpam-5933	255	22	a)m(a	a)m(a	NOUN
ejpam-5933	255	23	)	)	PUNCT
ejpam-5933	255	24	∫	∫	PROPN
ejpam-5933	255	25	s	s	PART
ejpam-5933	255	26	0	0	NUM
ejpam-5933	255	27	|k1(ξ	|k1(ξ	NOUN
ejpam-5933	255	28	,	,	PUNCT
ejpam-5933	255	29	s(s))−k1(ξ	s(s))−k1(ξ	VERB
ejpam-5933	255	30	,	,	PUNCT
ejpam-5933	255	31	s⋆(s))|dξ	s⋆(s))|dξ	PROPN
ejpam-5933	255	32	+	+	CCONJ
ejpam-5933	255	33	2(1−	2(1−	X
ejpam-5933	255	34	a	a	NOUN
ejpam-5933	255	35	)	)	PUNCT
ejpam-5933	255	36	(	(	PUNCT
ejpam-5933	255	37	2−	2−	NUM
ejpam-5933	255	38	a)m(a	a)m(a	NOUN
ejpam-5933	255	39	)	)	PUNCT
ejpam-5933	255	40	|h1(s)|+	|h1(s)|+	PROPN
ejpam-5933	255	41	2a	2a	NUM
ejpam-5933	255	42	(	(	PUNCT
ejpam-5933	255	43	2−	2−	NUM
ejpam-5933	255	44	a)m(a	a)m(a	NOUN
ejpam-5933	255	45	)	)	PUNCT
ejpam-5933	255	46	∫	∫	PROPN
ejpam-5933	255	47	s	s	PART
ejpam-5933	255	48	0	0	PROPN
ejpam-5933	255	49	|h1(ξ)|dξ	|h1(ξ)|dξ	PROPN
ejpam-5933	255	50	≤	≤	NOUN
ejpam-5933	255	51	[	[	PUNCT
ejpam-5933	255	52	2(1−	2(1−	NUM
ejpam-5933	255	53	a	a	NOUN
ejpam-5933	255	54	)	)	PUNCT
ejpam-5933	255	55	(	(	PUNCT
ejpam-5933	255	56	2−	2−	NUM
ejpam-5933	255	57	a)m(a	a)m(a	NOUN
ejpam-5933	255	58	)	)	PUNCT
ejpam-5933	255	59	+	+	NUM
ejpam-5933	255	60	2as	2as	NUM
ejpam-5933	255	61	(	(	PUNCT
ejpam-5933	255	62	2−	2−	NUM
ejpam-5933	255	63	a)m(a	a)m(a	NOUN
ejpam-5933	255	64	)	)	PUNCT
ejpam-5933	255	65	]	]	PUNCT
ejpam-5933	256	1	j1|s(s)−	j1|s(s)−	PROPN
ejpam-5933	256	2	s⋆(s)|	s⋆(s)|	NOUN
ejpam-5933	256	3	+	+	X
ejpam-5933	256	4	[	[	PUNCT
ejpam-5933	256	5	2(1−	2(1−	NOUN
ejpam-5933	256	6	a	a	NOUN
ejpam-5933	256	7	)	)	PUNCT
ejpam-5933	256	8	(	(	PUNCT
ejpam-5933	256	9	2−	2−	NUM
ejpam-5933	256	10	a)m(a	a)m(a	NOUN
ejpam-5933	256	11	)	)	PUNCT
ejpam-5933	256	12	+	+	NUM
ejpam-5933	256	13	2as	2as	NUM
ejpam-5933	256	14	(	(	PUNCT
ejpam-5933	256	15	2−	2−	NUM
ejpam-5933	256	16	a)m(a	a)m(a	NOUN
ejpam-5933	256	17	)	)	PUNCT
ejpam-5933	256	18	]	]	PUNCT
ejpam-5933	256	19	ϵ1	ϵ1	VERB
ejpam-5933	256	20	||s(s)−	||s(s)−	PROPN
ejpam-5933	256	21	s⋆(s)||	s⋆(s)||	NOUN
ejpam-5933	256	22	≤	≤	NOUN
ejpam-5933	256	23	[	[	PUNCT
ejpam-5933	256	24	2(1−a	2(1−a	NUM
ejpam-5933	256	25	)	)	PUNCT
ejpam-5933	256	26	(	(	PUNCT
ejpam-5933	256	27	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	256	28	)	)	PUNCT
ejpam-5933	256	29	+	+	CCONJ
ejpam-5933	257	1	2as	2as	NUM
ejpam-5933	257	2	(	(	PUNCT
ejpam-5933	257	3	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	257	4	)	)	PUNCT
ejpam-5933	257	5	]	]	PUNCT
ejpam-5933	257	6	ϵ1	ϵ1	VERB
ejpam-5933	257	7	1−	1−	NUM
ejpam-5933	257	8	[	[	PUNCT
ejpam-5933	257	9	2(1−a	2(1−a	NUM
ejpam-5933	257	10	)	)	PUNCT
ejpam-5933	257	11	(	(	PUNCT
ejpam-5933	257	12	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	257	13	)	)	PUNCT
ejpam-5933	258	1	+	+	CCONJ
ejpam-5933	259	1	2as	2as	NUM
ejpam-5933	259	2	(	(	PUNCT
ejpam-5933	259	3	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	259	4	)	)	PUNCT
ejpam-5933	259	5	]	]	PUNCT
ejpam-5933	260	1	j1	j1	PROPN
ejpam-5933	260	2	.	.	PUNCT
ejpam-5933	261	1	then	then	ADV
ejpam-5933	261	2	,	,	PUNCT
ejpam-5933	261	3	||s(s)−	||s(s)−	PROPN
ejpam-5933	261	4	s⋆(s)||	s⋆(s)||	NOUN
ejpam-5933	261	5	≤	≤	PUNCT
ejpam-5933	261	6	η1ϵ1	η1ϵ1	PROPN
ejpam-5933	261	7	,	,	PUNCT
ejpam-5933	261	8	where	where	SCONJ
ejpam-5933	261	9	η1	η1	X
ejpam-5933	261	10	=	=	PUNCT
ejpam-5933	261	11	[	[	PUNCT
ejpam-5933	261	12	2(1−a	2(1−a	NUM
ejpam-5933	261	13	)	)	PUNCT
ejpam-5933	261	14	(	(	PUNCT
ejpam-5933	261	15	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	261	16	)	)	PUNCT
ejpam-5933	261	17	+	+	CCONJ
ejpam-5933	261	18	2as	2as	NUM
ejpam-5933	261	19	(	(	PUNCT
ejpam-5933	261	20	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	261	21	)	)	PUNCT
ejpam-5933	261	22	]	]	PUNCT
ejpam-5933	262	1	1−	1−	NUM
ejpam-5933	262	2	[	[	PUNCT
ejpam-5933	262	3	2(1−a	2(1−a	NUM
ejpam-5933	262	4	)	)	PUNCT
ejpam-5933	262	5	(	(	PUNCT
ejpam-5933	262	6	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	262	7	)	)	PUNCT
ejpam-5933	262	8	+	+	CCONJ
ejpam-5933	262	9	2as	2as	NUM
ejpam-5933	262	10	(	(	PUNCT
ejpam-5933	262	11	2−a)m(a	2−a)m(a	NOUN
ejpam-5933	262	12	)	)	PUNCT
ejpam-5933	262	13	]	]	PUNCT
ejpam-5933	263	1	j1	j1	PROPN
ejpam-5933	263	2	.	.	PUNCT
ejpam-5933	264	1	similarly	similarly	ADV
ejpam-5933	264	2	,	,	PUNCT
ejpam-5933	264	3	we	we	PRON
ejpam-5933	264	4	have	have	VERB
ejpam-5933	264	5	||e	||e	NOUN
ejpam-5933	264	6	−	−	PROPN
ejpam-5933	264	7	e⋆||	e⋆||	NOUN
ejpam-5933	264	8	≤	≤	ADV
ejpam-5933	264	9	η2ϵ2	η2ϵ2	SYM
ejpam-5933	264	10	,	,	PUNCT
ejpam-5933	264	11	||i	||i	VERB
ejpam-5933	264	12	−	−	PROPN
ejpam-5933	264	13	i⋆||	i⋆||	NOUN
ejpam-5933	264	14	≤	≤	PROPN
ejpam-5933	265	1	η3ϵ3	η3ϵ3	ADP
ejpam-5933	265	2	,	,	PUNCT
ejpam-5933	265	3	||r	||r	NOUN
ejpam-5933	265	4	−r⋆||	−r⋆||	VERB
ejpam-5933	265	5	≤	≤	NOUN
ejpam-5933	265	6	η4ϵ4	η4ϵ4	PROPN
ejpam-5933	265	7	.	.	PUNCT
ejpam-5933	266	1	thus	thus	ADV
ejpam-5933	266	2	,	,	PUNCT
ejpam-5933	266	3	the	the	DET
ejpam-5933	266	4	system	system	NOUN
ejpam-5933	266	5	(	(	PUNCT
ejpam-5933	266	6	1	1	X
ejpam-5933	266	7	)	)	PUNCT
ejpam-5933	266	8	is	be	AUX
ejpam-5933	266	9	ulam	ulam	NOUN
ejpam-5933	266	10	-	-	PUNCT
ejpam-5933	266	11	hyers	hyer	NOUN
ejpam-5933	266	12	stable	stable	ADJ
ejpam-5933	266	13	.	.	PUNCT
ejpam-5933	267	1	r.	r.	PROPN
ejpam-5933	267	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	267	3	et	et	PROPN
ejpam-5933	267	4	al	al	PROPN
ejpam-5933	267	5	.	.	PUNCT
ejpam-5933	267	6	/	/	SYM
ejpam-5933	267	7	eur	eur	PROPN
ejpam-5933	267	8	.	.	PUNCT
ejpam-5933	268	1	j.	j.	PROPN
ejpam-5933	268	2	pure	pure	PROPN
ejpam-5933	268	3	appl	appl	PROPN
ejpam-5933	268	4	.	.	PROPN
ejpam-5933	268	5	math	math	PROPN
ejpam-5933	268	6	,	,	PUNCT
ejpam-5933	268	7	18	18	NUM
ejpam-5933	268	8	(	(	PUNCT
ejpam-5933	268	9	2	2	NUM
ejpam-5933	268	10	)	)	PUNCT
ejpam-5933	268	11	(	(	PUNCT
ejpam-5933	268	12	2025	2025	NUM
ejpam-5933	268	13	)	)	PUNCT
ejpam-5933	268	14	,	,	PUNCT
ejpam-5933	268	15	5933	5933	NUM
ejpam-5933	268	16	14	14	NUM
ejpam-5933	268	17	of	of	ADP
ejpam-5933	268	18	25	25	NUM
ejpam-5933	268	19	4	4	NUM
ejpam-5933	268	20	.	.	PUNCT
ejpam-5933	268	21	equilibrium	equilibrium	NOUN
ejpam-5933	268	22	points	point	NOUN
ejpam-5933	268	23	this	this	DET
ejpam-5933	268	24	section	section	NOUN
ejpam-5933	268	25	investigate	investigate	VERB
ejpam-5933	268	26	the	the	DET
ejpam-5933	268	27	disease	disease	NOUN
ejpam-5933	268	28	-	-	PUNCT
ejpam-5933	268	29	free	free	ADJ
ejpam-5933	268	30	and	and	CCONJ
ejpam-5933	268	31	disease	disease	NOUN
ejpam-5933	268	32	-	-	PUNCT
ejpam-5933	268	33	endemic	endemic	ADJ
ejpam-5933	268	34	equilibrium	equilibrium	NOUN
ejpam-5933	268	35	points	point	NOUN
ejpam-5933	268	36	of	of	ADP
ejpam-5933	268	37	the	the	DET
ejpam-5933	268	38	system	system	NOUN
ejpam-5933	268	39	(	(	PUNCT
ejpam-5933	268	40	1	1	NUM
ejpam-5933	268	41	)	)	PUNCT
ejpam-5933	268	42	to	to	PART
ejpam-5933	268	43	identify	identify	VERB
ejpam-5933	268	44	the	the	DET
ejpam-5933	268	45	infected	infected	ADJ
ejpam-5933	268	46	state	state	NOUN
ejpam-5933	268	47	of	of	ADP
ejpam-5933	268	48	the	the	DET
ejpam-5933	268	49	disease	disease	NOUN
ejpam-5933	268	50	.	.	PUNCT
ejpam-5933	269	1	disease	disease	NOUN
ejpam-5933	269	2	-	-	PUNCT
ejpam-5933	269	3	free	free	ADJ
ejpam-5933	269	4	equilibrium(dfe	equilibrium(dfe	NOUN
ejpam-5933	269	5	)	)	PUNCT
ejpam-5933	269	6	points	point	NOUN
ejpam-5933	269	7	of	of	ADP
ejpam-5933	269	8	the	the	DET
ejpam-5933	269	9	system	system	NOUN
ejpam-5933	269	10	are	be	AUX
ejpam-5933	269	11	calculated	calculate	VERB
ejpam-5933	269	12	by	by	ADP
ejpam-5933	269	13	using	use	VERB
ejpam-5933	269	14	the	the	DET
ejpam-5933	269	15	assumptions	assumption	NOUN
ejpam-5933	269	16	:	:	PUNCT
ejpam-5933	269	17	cfda	cfda	PROPN
ejpam-5933	269	18	ss	ss	NOUN
ejpam-5933	270	1	=	=	PUNCT
ejpam-5933	270	2	0,cfda	0,cfda	PUNCT
ejpam-5933	270	3	se	se	X
ejpam-5933	271	1	=	=	PUNCT
ejpam-5933	271	2	0,cfda	0,cfda	PUNCT
ejpam-5933	271	3	si	si	X
ejpam-5933	271	4	=	=	PUNCT
ejpam-5933	271	5	0,cfda	0,cfda	NUM
ejpam-5933	271	6	sr	sr	NOUN
ejpam-5933	271	7	=	=	PUNCT
ejpam-5933	271	8	0	0	PROPN
ejpam-5933	271	9			NOUN
ejpam-5933	271	10	αn	αn	NOUN
ejpam-5933	272	1	−	−	NOUN
ejpam-5933	272	2	βsi	βsi	NOUN
ejpam-5933	272	3	+	+	CCONJ
ejpam-5933	272	4	θr−	θr−	NUM
ejpam-5933	272	5	ϕs	ϕs	ADJ
ejpam-5933	272	6	=	=	SYM
ejpam-5933	272	7	0	0	NUM
ejpam-5933	272	8	βsi	βsi	NOUN
ejpam-5933	272	9	−	−	NOUN
ejpam-5933	272	10	γe	γe	ADP
ejpam-5933	272	11	−	−	PROPN
ejpam-5933	272	12	ϕe	ϕe	PRON
ejpam-5933	273	1	=	=	NOUN
ejpam-5933	273	2	0	0	NUM
ejpam-5933	273	3	γe	γe	NUM
ejpam-5933	273	4	−	−	PROPN
ejpam-5933	273	5	ωi	ωi	INTJ
ejpam-5933	273	6	−	−	NOUN
ejpam-5933	273	7	ϕi	ϕi	ADP
ejpam-5933	273	8	=	=	NOUN
ejpam-5933	273	9	0	0	PROPN
ejpam-5933	273	10	,	,	PUNCT
ejpam-5933	273	11	ωi	ωi	X
ejpam-5933	273	12	−	−	PROPN
ejpam-5933	273	13	θr−	θr−	NUM
ejpam-5933	273	14	ϕr	ϕr	NOUN
ejpam-5933	273	15	=	=	SYM
ejpam-5933	273	16	0	0	NUM
ejpam-5933	273	17	let	let	VERB
ejpam-5933	273	18	e	e	NOUN
ejpam-5933	273	19	=	=	PUNCT
ejpam-5933	273	20	i	i	NOUN
ejpam-5933	273	21	=	=	NOUN
ejpam-5933	273	22	0	0	NUM
ejpam-5933	273	23	,	,	PUNCT
ejpam-5933	273	24	to	to	PART
ejpam-5933	273	25	find	find	VERB
ejpam-5933	273	26	the	the	DET
ejpam-5933	273	27	disease	disease	NOUN
ejpam-5933	273	28	free	free	ADJ
ejpam-5933	273	29	equilibrium	equilibrium	NOUN
ejpam-5933	273	30	,	,	PUNCT
ejpam-5933	273	31	(	(	PUNCT
ejpam-5933	273	32	s0	s0	PROPN
ejpam-5933	273	33	,	,	PUNCT
ejpam-5933	273	34	e0	e0	PROPN
ejpam-5933	273	35	,	,	PUNCT
ejpam-5933	273	36	i0,r0	i0,r0	PROPN
ejpam-5933	273	37	)	)	PUNCT
ejpam-5933	274	1	=	=	PRON
ejpam-5933	274	2	(	(	PUNCT
ejpam-5933	274	3	αn	αn	NOUN
ejpam-5933	274	4	ϕ	ϕ	PROPN
ejpam-5933	274	5	,	,	PUNCT
ejpam-5933	274	6	0	0	NUM
ejpam-5933	274	7	,	,	PUNCT
ejpam-5933	274	8	0	0	NUM
ejpam-5933	274	9	,	,	PUNCT
ejpam-5933	274	10	0	0	NUM
ejpam-5933	274	11	)	)	PUNCT
ejpam-5933	274	12	now	now	ADV
ejpam-5933	274	13	,	,	PUNCT
ejpam-5933	274	14	the	the	DET
ejpam-5933	274	15	disease	disease	NOUN
ejpam-5933	274	16	-	-	PUNCT
ejpam-5933	274	17	endemic	endemic	ADJ
ejpam-5933	274	18	equilibrium	equilibrium	NOUN
ejpam-5933	274	19	(	(	PUNCT
ejpam-5933	274	20	dee	dee	PROPN
ejpam-5933	274	21	)	)	PUNCT
ejpam-5933	274	22	is	be	AUX
ejpam-5933	274	23	:	:	PUNCT
ejpam-5933	274	24	(	(	PUNCT
ejpam-5933	274	25	s∗	s∗	PROPN
ejpam-5933	274	26	,	,	PUNCT
ejpam-5933	274	27	e∗	e∗	PROPN
ejpam-5933	274	28	,	,	PUNCT
ejpam-5933	274	29	i∗,r∗	i∗,r∗	PROPN
ejpam-5933	274	30	)	)	PUNCT
ejpam-5933	274	31	=	=	PRON
ejpam-5933	275	1	(	(	PUNCT
ejpam-5933	275	2	(	(	PUNCT
ejpam-5933	275	3	γ	γ	X
ejpam-5933	275	4	+	+	CCONJ
ejpam-5933	275	5	ϕ)(ω	ϕ)(ω	PROPN
ejpam-5933	275	6	+	+	CCONJ
ejpam-5933	275	7	ϕ	ϕ	NOUN
ejpam-5933	275	8	)	)	PUNCT
ejpam-5933	275	9	βγ	βγ	PRON
ejpam-5933	275	10	,	,	PUNCT
ejpam-5933	275	11	(	(	PUNCT
ejpam-5933	275	12	ω	ω	X
ejpam-5933	275	13	+	+	NUM
ejpam-5933	275	14	ϕ	ϕ	PROPN
ejpam-5933	275	15	γ	γ	X
ejpam-5933	275	16	)	)	PUNCT
ejpam-5933	276	1	i	i	PROPN
ejpam-5933	276	2	,	,	PUNCT
ejpam-5933	276	3	i	i	PRON
ejpam-5933	276	4	,	,	PUNCT
ejpam-5933	276	5	(	(	PUNCT
ejpam-5933	276	6	ω	ω	NUM
ejpam-5933	276	7	θ	θ	X
ejpam-5933	276	8	+	+	CCONJ
ejpam-5933	276	9	ϕ	ϕ	NOUN
ejpam-5933	276	10	)	)	PUNCT
ejpam-5933	276	11	)	)	PUNCT
ejpam-5933	277	1	the	the	DET
ejpam-5933	277	2	disease	disease	NOUN
ejpam-5933	277	3	-	-	PUNCT
ejpam-5933	277	4	free	free	ADJ
ejpam-5933	277	5	equilibrium	equilibrium	NOUN
ejpam-5933	277	6	is	be	AUX
ejpam-5933	277	7	locally	locally	ADV
ejpam-5933	277	8	asymptotically	asymptotically	ADV
ejpam-5933	277	9	stable	stable	ADJ
ejpam-5933	277	10	if	if	SCONJ
ejpam-5933	277	11	either	either	CCONJ
ejpam-5933	277	12	r0	r0	VERB
ejpam-5933	277	13	<	<	X
ejpam-5933	277	14	1	1	NUM
ejpam-5933	277	15	;	;	PUNCT
ejpam-5933	277	16	if	if	SCONJ
ejpam-5933	277	17	not	not	PART
ejpam-5933	277	18	,	,	PUNCT
ejpam-5933	277	19	it	it	PRON
ejpam-5933	277	20	will	will	AUX
ejpam-5933	277	21	be	be	AUX
ejpam-5933	277	22	unstable	unstable	ADJ
ejpam-5933	277	23	,	,	PUNCT
ejpam-5933	277	24	according	accord	VERB
ejpam-5933	277	25	to	to	ADP
ejpam-5933	277	26	the	the	DET
ejpam-5933	277	27	stability	stability	NOUN
ejpam-5933	277	28	analyses	analyse	VERB
ejpam-5933	277	29	.	.	PUNCT
ejpam-5933	278	1	however	however	ADV
ejpam-5933	278	2	,	,	PUNCT
ejpam-5933	278	3	when	when	SCONJ
ejpam-5933	278	4	r0	r0	NOUN
ejpam-5933	278	5	>	>	X
ejpam-5933	278	6	1	1	NUM
ejpam-5933	278	7	,	,	PUNCT
ejpam-5933	278	8	the	the	DET
ejpam-5933	278	9	diseaseendemic	diseaseendemic	ADJ
ejpam-5933	278	10	equilibrium	equilibrium	NOUN
ejpam-5933	278	11	point	point	NOUN
ejpam-5933	278	12	is	be	AUX
ejpam-5933	278	13	locally	locally	ADV
ejpam-5933	278	14	asymptotically	asymptotically	ADV
ejpam-5933	278	15	stable	stable	ADJ
ejpam-5933	278	16	;	;	PUNCT
ejpam-5933	278	17	if	if	SCONJ
ejpam-5933	278	18	not	not	PART
ejpam-5933	278	19	,	,	PUNCT
ejpam-5933	278	20	it	it	PRON
ejpam-5933	278	21	can	can	AUX
ejpam-5933	278	22	be	be	AUX
ejpam-5933	278	23	unstable	unstable	ADJ
ejpam-5933	278	24	.	.	PUNCT
ejpam-5933	279	1	4.1	4.1	NUM
ejpam-5933	279	2	.	.	PUNCT
ejpam-5933	279	3	stability	stability	NOUN
ejpam-5933	279	4	of	of	ADP
ejpam-5933	279	5	equilibria	equilibrium	NOUN
ejpam-5933	279	6	theorem	theorem	VERB
ejpam-5933	279	7	8	8	NUM
ejpam-5933	279	8	.	.	PUNCT
ejpam-5933	280	1	the	the	DET
ejpam-5933	280	2	dfe	dfe	PROPN
ejpam-5933	280	3	is	be	AUX
ejpam-5933	280	4	locally	locally	ADV
ejpam-5933	280	5	asymptotically	asymptotically	ADV
ejpam-5933	280	6	stable	stable	ADJ
ejpam-5933	280	7	if	if	SCONJ
ejpam-5933	280	8	r0	r0	NOUN
ejpam-5933	280	9	<	<	X
ejpam-5933	280	10	1	1	NUM
ejpam-5933	280	11	and	and	CCONJ
ejpam-5933	280	12	unstable	unstable	ADJ
ejpam-5933	280	13	if	if	SCONJ
ejpam-5933	280	14	r0	r0	NOUN
ejpam-5933	280	15	>	>	X
ejpam-5933	280	16	1	1	X
ejpam-5933	280	17	.	.	PUNCT
ejpam-5933	281	1	proof	proof	NOUN
ejpam-5933	281	2	.	.	PUNCT
ejpam-5933	282	1	the	the	DET
ejpam-5933	282	2	jacobian	jacobian	PROPN
ejpam-5933	282	3	at	at	ADP
ejpam-5933	282	4	dfe	dfe	PROPN
ejpam-5933	282	5	:	:	PUNCT
ejpam-5933	282	6	j	j	PROPN
ejpam-5933	282	7	=	=	SYM
ejpam-5933	282	8			PROPN
ejpam-5933	282	9	−ϕ	−ϕ	ADV
ejpam-5933	282	10	0	0	PUNCT
ejpam-5933	283	1	−βs0	−βs0	NUM
ejpam-5933	283	2	θ	θ	PROPN
ejpam-5933	283	3	0	0	PUNCT
ejpam-5933	284	1	−(γ	−(γ	ADJ
ejpam-5933	284	2	+	+	X
ejpam-5933	284	3	ϕ	ϕ	NOUN
ejpam-5933	284	4	)	)	PUNCT
ejpam-5933	284	5	βs0	βs0	NOUN
ejpam-5933	284	6	0	0	NUM
ejpam-5933	284	7	0	0	NUM
ejpam-5933	284	8	γ	γ	X
ejpam-5933	284	9	−(ω	−(ω	NOUN
ejpam-5933	284	10	+	+	CCONJ
ejpam-5933	284	11	ϕ	ϕ	NOUN
ejpam-5933	284	12	)	)	PUNCT
ejpam-5933	284	13	0	0	NUM
ejpam-5933	284	14	0	0	NUM
ejpam-5933	284	15	0	0	NUM
ejpam-5933	284	16	ω	ω	NUM
ejpam-5933	284	17	−(θ	−(θ	NOUN
ejpam-5933	284	18	+	+	CCONJ
ejpam-5933	284	19	ϕ	ϕ	NOUN
ejpam-5933	284	20	)	)	PUNCT
ejpam-5933	284	21			NOUN
ejpam-5933	284	22	the	the	DET
ejpam-5933	284	23	characteristic	characteristic	ADJ
ejpam-5933	284	24	equation	equation	NOUN
ejpam-5933	284	25	gives	give	VERB
ejpam-5933	284	26	eigenvalues	eigenvalue	VERB
ejpam-5933	284	27	:	:	PUNCT
ejpam-5933	284	28	λ2	λ2	NOUN
ejpam-5933	284	29	+	+	CCONJ
ejpam-5933	284	30	(	(	PUNCT
ejpam-5933	284	31	γ	γ	X
ejpam-5933	284	32	+	+	PROPN
ejpam-5933	284	33	ω	ω	PROPN
ejpam-5933	285	1	+	+	CCONJ
ejpam-5933	285	2	2ϕ)λ+	2ϕ)λ+	NUM
ejpam-5933	285	3	(	(	PUNCT
ejpam-5933	285	4	γ	γ	X
ejpam-5933	285	5	+	+	CCONJ
ejpam-5933	285	6	ϕ)(ω	ϕ)(ω	PROPN
ejpam-5933	285	7	+	+	CCONJ
ejpam-5933	285	8	ϕ)(1−r0	ϕ)(1−r0	X
ejpam-5933	285	9	)	)	PUNCT
ejpam-5933	285	10	=	=	SYM
ejpam-5933	285	11	0	0	NUM
ejpam-5933	286	1	for	for	ADP
ejpam-5933	286	2	r0	r0	NOUN
ejpam-5933	286	3	<	<	X
ejpam-5933	286	4	1	1	NUM
ejpam-5933	286	5	,	,	PUNCT
ejpam-5933	286	6	all	all	PRON
ejpam-5933	286	7	eigenvalues	eigenvalue	NOUN
ejpam-5933	286	8	have	have	VERB
ejpam-5933	286	9	negative	negative	ADJ
ejpam-5933	286	10	real	real	ADJ
ejpam-5933	286	11	parts	part	NOUN
ejpam-5933	286	12	.	.	PUNCT
ejpam-5933	287	1	theorem	theorem	NOUN
ejpam-5933	287	2	9	9	NUM
ejpam-5933	287	3	.	.	PUNCT
ejpam-5933	288	1	when	when	SCONJ
ejpam-5933	288	2	r0	r0	VERB
ejpam-5933	288	3	>	>	X
ejpam-5933	288	4	1	1	NUM
ejpam-5933	288	5	,	,	PUNCT
ejpam-5933	288	6	the	the	DET
ejpam-5933	288	7	endemic	endemic	ADJ
ejpam-5933	288	8	equilibrium	equilibrium	NOUN
ejpam-5933	288	9	e∗	e∗	NOUN
ejpam-5933	288	10	is	be	AUX
ejpam-5933	288	11	locally	locally	ADV
ejpam-5933	288	12	asymptotically	asymptotically	ADV
ejpam-5933	288	13	stable	stable	ADJ
ejpam-5933	288	14	.	.	PUNCT
ejpam-5933	289	1	proof	proof	NOUN
ejpam-5933	289	2	.	.	PUNCT
ejpam-5933	290	1	the	the	DET
ejpam-5933	290	2	jacobian	jacobian	PROPN
ejpam-5933	290	3	at	at	ADP
ejpam-5933	290	4	ee	ee	PROPN
ejpam-5933	290	5	satisfies	satisfie	NOUN
ejpam-5933	290	6	:	:	PUNCT
ejpam-5933	290	7	tr(j	tr(j	X
ejpam-5933	290	8	∗	∗	NOUN
ejpam-5933	290	9	)	)	PUNCT
ejpam-5933	290	10	=	=	SYM
ejpam-5933	290	11	−(ϕ+	−(ϕ+	ADJ
ejpam-5933	290	12	βi∗	βi∗	NOUN
ejpam-5933	291	1	+	+	CCONJ
ejpam-5933	291	2	γ	γ	X
ejpam-5933	291	3	+	+	X
ejpam-5933	291	4	ϕ+	ϕ+	PROPN
ejpam-5933	291	5	ω	ω	PROPN
ejpam-5933	292	1	+	+	CCONJ
ejpam-5933	292	2	ϕ+	ϕ+	PROPN
ejpam-5933	292	3	θ	θ	PROPN
ejpam-5933	292	4	+	+	NUM
ejpam-5933	292	5	ϕ	ϕ	X
ejpam-5933	292	6	)	)	PUNCT
ejpam-5933	292	7	<	<	X
ejpam-5933	292	8	0	0	PUNCT
ejpam-5933	293	1	and	and	CCONJ
ejpam-5933	293	2	det(j	det(j	PROPN
ejpam-5933	293	3	∗	∗	NOUN
ejpam-5933	293	4	)	)	PUNCT
ejpam-5933	293	5	>	>	X
ejpam-5933	293	6	0	0	PUNCT
ejpam-5933	293	7	when	when	SCONJ
ejpam-5933	293	8	r0	r0	NOUN
ejpam-5933	293	9	>	>	X
ejpam-5933	293	10	1	1	NUM
ejpam-5933	293	11	,	,	PUNCT
ejpam-5933	293	12	proving	prove	VERB
ejpam-5933	293	13	stability	stability	NOUN
ejpam-5933	293	14	.	.	PUNCT
ejpam-5933	294	1	r.	r.	PROPN
ejpam-5933	294	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	294	3	et	et	PROPN
ejpam-5933	294	4	al	al	PROPN
ejpam-5933	294	5	.	.	PUNCT
ejpam-5933	294	6	/	/	SYM
ejpam-5933	294	7	eur	eur	PROPN
ejpam-5933	294	8	.	.	PUNCT
ejpam-5933	295	1	j.	j.	PROPN
ejpam-5933	295	2	pure	pure	PROPN
ejpam-5933	295	3	appl	appl	PROPN
ejpam-5933	295	4	.	.	PROPN
ejpam-5933	295	5	math	math	PROPN
ejpam-5933	295	6	,	,	PUNCT
ejpam-5933	295	7	18	18	NUM
ejpam-5933	295	8	(	(	PUNCT
ejpam-5933	295	9	2	2	NUM
ejpam-5933	295	10	)	)	PUNCT
ejpam-5933	295	11	(	(	PUNCT
ejpam-5933	295	12	2025	2025	NUM
ejpam-5933	295	13	)	)	PUNCT
ejpam-5933	295	14	,	,	PUNCT
ejpam-5933	295	15	5933	5933	NUM
ejpam-5933	295	16	15	15	NUM
ejpam-5933	295	17	of	of	ADP
ejpam-5933	295	18	25	25	NUM
ejpam-5933	295	19	4.2	4.2	NUM
ejpam-5933	295	20	.	.	PUNCT
ejpam-5933	296	1	basic	basic	ADJ
ejpam-5933	296	2	reproduction	reproduction	NOUN
ejpam-5933	296	3	number	number	NOUN
ejpam-5933	296	4	r0	r0	NOUN
ejpam-5933	296	5	r0	r0	NOUN
ejpam-5933	296	6	is	be	AUX
ejpam-5933	296	7	essential	essential	ADJ
ejpam-5933	296	8	parameter	parameter	NOUN
ejpam-5933	296	9	in	in	ADP
ejpam-5933	296	10	epidemiology	epidemiology	NOUN
ejpam-5933	296	11	to	to	PART
ejpam-5933	296	12	illustrate	illustrate	VERB
ejpam-5933	296	13	the	the	DET
ejpam-5933	296	14	behavior	behavior	NOUN
ejpam-5933	296	15	of	of	ADP
ejpam-5933	296	16	disease	disease	NOUN
ejpam-5933	296	17	.	.	PUNCT
ejpam-5933	297	1	it	it	PRON
ejpam-5933	297	2	is	be	AUX
ejpam-5933	297	3	found	find	VERB
ejpam-5933	297	4	by	by	ADP
ejpam-5933	297	5	evaluating	evaluate	VERB
ejpam-5933	297	6	the	the	DET
ejpam-5933	297	7	dominant	dominant	ADJ
ejpam-5933	297	8	eigenvalue	eigenvalue	NOUN
ejpam-5933	297	9	of	of	ADP
ejpam-5933	297	10	the	the	DET
ejpam-5933	297	11	next	next	ADJ
ejpam-5933	297	12	generation	generation	NOUN
ejpam-5933	297	13	matrix	matrix	NOUN
ejpam-5933	297	14	from	from	ADP
ejpam-5933	297	15	the	the	DET
ejpam-5933	297	16	dfe	dfe	PROPN
ejpam-5933	297	17	.	.	PUNCT
ejpam-5933	298	1	in	in	ADP
ejpam-5933	298	2	this	this	DET
ejpam-5933	298	3	calculation	calculation	NOUN
ejpam-5933	298	4	part	part	NOUN
ejpam-5933	298	5	,	,	PUNCT
ejpam-5933	298	6	consider	consider	VERB
ejpam-5933	298	7	{	{	PUNCT
ejpam-5933	298	8	cfda	cfda	PROPN
ejpam-5933	298	9	se	se	X
ejpam-5933	299	1	=	=	PUNCT
ejpam-5933	299	2	βsi	βsi	NOUN
ejpam-5933	299	3	−	−	PROPN
ejpam-5933	299	4	γe	γe	INTJ
ejpam-5933	299	5	−	−	PROPN
ejpam-5933	299	6	ϕe	ϕe	INTJ
ejpam-5933	299	7	,	,	PUNCT
ejpam-5933	299	8	cfda	cfda	PROPN
ejpam-5933	299	9	si	si	X
ejpam-5933	300	1	=	=	PUNCT
ejpam-5933	300	2	γe	γe	NUM
ejpam-5933	300	3	−	−	PROPN
ejpam-5933	300	4	ωi	ωi	INTJ
ejpam-5933	300	5	−	−	NOUN
ejpam-5933	300	6	ϕi	ϕi	ADP
ejpam-5933	300	7	,	,	PUNCT
ejpam-5933	300	8	(	(	PUNCT
ejpam-5933	300	9	16	16	NUM
ejpam-5933	300	10	)	)	PUNCT
ejpam-5933	300	11	now	now	ADV
ejpam-5933	300	12	,	,	PUNCT
ejpam-5933	300	13	f	f	PROPN
ejpam-5933	300	14	=	=	PUNCT
ejpam-5933	301	1	[	[	PUNCT
ejpam-5933	301	2	βsi	βsi	NOUN
ejpam-5933	301	3	0	0	NUM
ejpam-5933	301	4	]	]	PUNCT
ejpam-5933	301	5	and	and	CCONJ
ejpam-5933	301	6	v	v	X
ejpam-5933	301	7	=	=	X
ejpam-5933	301	8	[	[	PUNCT
ejpam-5933	301	9	(	(	PUNCT
ejpam-5933	301	10	γ	γ	X
ejpam-5933	301	11	+	+	ADJ
ejpam-5933	301	12	ϕ)e	ϕ)e	NOUN
ejpam-5933	301	13	−γe	−γe	NOUN
ejpam-5933	301	14	+	+	CCONJ
ejpam-5933	301	15	(	(	PUNCT
ejpam-5933	301	16	ω	ω	NOUN
ejpam-5933	301	17	+	+	CCONJ
ejpam-5933	301	18	ϕ)i	ϕ)i	NOUN
ejpam-5933	301	19	]	]	PUNCT
ejpam-5933	301	20	then	then	ADV
ejpam-5933	301	21	,	,	PUNCT
ejpam-5933	301	22	f	f	PROPN
ejpam-5933	301	23	=	=	PUNCT
ejpam-5933	301	24	[	[	PUNCT
ejpam-5933	301	25	0	0	NUM
ejpam-5933	301	26	β	β	NOUN
ejpam-5933	301	27	0	0	NUM
ejpam-5933	301	28	0	0	NUM
ejpam-5933	301	29	]	]	PUNCT
ejpam-5933	301	30	and	and	CCONJ
ejpam-5933	301	31	v−1	v−1	PROPN
ejpam-5933	301	32	=	=	SYM
ejpam-5933	301	33	1	1	X
ejpam-5933	301	34	(	(	PUNCT
ejpam-5933	301	35	γ	γ	X
ejpam-5933	301	36	+	+	X
ejpam-5933	301	37	ϕ)((ω	ϕ)((ω	PROPN
ejpam-5933	301	38	+	+	CCONJ
ejpam-5933	301	39	ϕ	ϕ	NOUN
ejpam-5933	301	40	)	)	PUNCT
ejpam-5933	301	41	[	[	PUNCT
ejpam-5933	301	42	(	(	PUNCT
ejpam-5933	301	43	ω	ω	X
ejpam-5933	301	44	+	+	X
ejpam-5933	301	45	ϕ	ϕ	NOUN
ejpam-5933	301	46	)	)	PUNCT
ejpam-5933	301	47	0	0	NUM
ejpam-5933	301	48	−γ	−γ	NOUN
ejpam-5933	301	49	(	(	PUNCT
ejpam-5933	301	50	γ	γ	X
ejpam-5933	301	51	+	+	X
ejpam-5933	301	52	ϕ	ϕ	NOUN
ejpam-5933	301	53	)	)	PUNCT
ejpam-5933	301	54	]	]	PUNCT
ejpam-5933	302	1	∴	∴	PROPN
ejpam-5933	302	2	fv−1	fv−1	PROPN
ejpam-5933	302	3	=	=	SYM
ejpam-5933	302	4			PROPN
ejpam-5933	302	5	βγ	βγ	INTJ
ejpam-5933	302	6	(	(	PUNCT
ejpam-5933	302	7	γ	γ	PROPN
ejpam-5933	302	8	+	+	CCONJ
ejpam-5933	302	9	ϕ)(ω	ϕ)(ω	PROPN
ejpam-5933	302	10	+	+	CCONJ
ejpam-5933	302	11	ϕ	ϕ	X
ejpam-5933	302	12	)	)	PUNCT
ejpam-5933	302	13	β	β	NOUN
ejpam-5933	302	14	(	(	PUNCT
ejpam-5933	302	15	ω	ω	PROPN
ejpam-5933	302	16	+	+	CCONJ
ejpam-5933	302	17	ϕ	ϕ	NOUN
ejpam-5933	302	18	)	)	PUNCT
ejpam-5933	302	19	0	0	NUM
ejpam-5933	302	20	0	0	NUM
ejpam-5933	302	21			NOUN
ejpam-5933	302	22	hence	hence	ADV
ejpam-5933	302	23	,	,	PUNCT
ejpam-5933	302	24	r0	r0	NOUN
ejpam-5933	302	25	=	=	SYM
ejpam-5933	302	26	ρ(fv−1	ρ(fv−1	X
ejpam-5933	302	27	)	)	PUNCT
ejpam-5933	303	1	=	=	SYM
ejpam-5933	303	2	βγ	βγ	INTJ
ejpam-5933	303	3	(	(	PUNCT
ejpam-5933	303	4	γ	γ	X
ejpam-5933	303	5	+	+	CCONJ
ejpam-5933	303	6	ϕ)(ω	ϕ)(ω	PROPN
ejpam-5933	303	7	+	+	X
ejpam-5933	303	8	ϕ	ϕ	NOUN
ejpam-5933	303	9	)	)	PUNCT
ejpam-5933	303	10	.	.	PUNCT
ejpam-5933	304	1	4.3	4.3	NUM
ejpam-5933	304	2	.	.	PUNCT
ejpam-5933	305	1	sensitivity	sensitivity	NOUN
ejpam-5933	305	2	analysis	analysis	NOUN
ejpam-5933	305	3	of	of	ADP
ejpam-5933	305	4	the	the	DET
ejpam-5933	305	5	reproduction	reproduction	NOUN
ejpam-5933	305	6	number	number	NOUN
ejpam-5933	305	7	r0	r0	NOUN
ejpam-5933	305	8	to	to	PART
ejpam-5933	305	9	investigate	investigate	VERB
ejpam-5933	305	10	the	the	DET
ejpam-5933	305	11	influence	influence	NOUN
ejpam-5933	305	12	of	of	ADP
ejpam-5933	305	13	key	key	ADJ
ejpam-5933	305	14	transmission	transmission	NOUN
ejpam-5933	305	15	dynamics	dynamic	NOUN
ejpam-5933	305	16	of	of	ADP
ejpam-5933	305	17	the	the	DET
ejpam-5933	305	18	system	system	NOUN
ejpam-5933	305	19	,	,	PUNCT
ejpam-5933	305	20	sensitivity	sensitivity	NOUN
ejpam-5933	305	21	analysis	analysis	NOUN
ejpam-5933	305	22	of	of	ADP
ejpam-5933	305	23	the	the	DET
ejpam-5933	305	24	basic	basic	ADJ
ejpam-5933	305	25	reproduction	reproduction	NOUN
ejpam-5933	305	26	number	number	NOUN
ejpam-5933	305	27	r0	r0	NOUN
ejpam-5933	305	28	with	with	ADP
ejpam-5933	305	29	respect	respect	NOUN
ejpam-5933	305	30	to	to	ADP
ejpam-5933	305	31	each	each	DET
ejpam-5933	305	32	parameter	parameter	NOUN
ejpam-5933	305	33	was	be	AUX
ejpam-5933	305	34	computed	compute	VERB
ejpam-5933	305	35	by	by	ADP
ejpam-5933	305	36	:	:	PUNCT
ejpam-5933	305	37	υr0	υr0	PROPN
ejpam-5933	305	38	p	p	NOUN
ejpam-5933	305	39	=	=	PUNCT
ejpam-5933	305	40	∂r0	∂r0	ADP
ejpam-5933	305	41	∂p	∂p	PROPN
ejpam-5933	305	42	·	·	PUNCT
ejpam-5933	305	43	p	p	NOUN
ejpam-5933	305	44	r0	r0	NOUN
ejpam-5933	305	45	,	,	PUNCT
ejpam-5933	305	46	where	where	SCONJ
ejpam-5933	305	47	p	p	NOUN
ejpam-5933	305	48	represents	represent	VERB
ejpam-5933	305	49	each	each	DET
ejpam-5933	305	50	parameter	parameter	NOUN
ejpam-5933	305	51	.	.	PUNCT
ejpam-5933	306	1	this	this	DET
ejpam-5933	306	2	sensitivity	sensitivity	NOUN
ejpam-5933	306	3	index	index	NOUN
ejpam-5933	306	4	quantifies	quantify	VERB
ejpam-5933	306	5	the	the	DET
ejpam-5933	306	6	relative	relative	ADJ
ejpam-5933	306	7	change	change	NOUN
ejpam-5933	306	8	in	in	ADP
ejpam-5933	306	9	r0	r0	NOUN
ejpam-5933	306	10	due	due	ADP
ejpam-5933	306	11	to	to	ADP
ejpam-5933	306	12	a	a	DET
ejpam-5933	306	13	relative	relative	ADJ
ejpam-5933	306	14	change	change	NOUN
ejpam-5933	306	15	in	in	ADP
ejpam-5933	306	16	the	the	DET
ejpam-5933	306	17	parameter	parameter	NOUN
ejpam-5933	306	18	p.	p.	NOUN
ejpam-5933	306	19	in	in	ADP
ejpam-5933	306	20	figure	figure	NOUN
ejpam-5933	306	21	2	2	NUM
ejpam-5933	306	22	,	,	PUNCT
ejpam-5933	306	23	a	a	DET
ejpam-5933	306	24	positive	positive	ADJ
ejpam-5933	306	25	sensitivity	sensitivity	NOUN
ejpam-5933	306	26	index	index	NOUN
ejpam-5933	306	27	indicates	indicate	VERB
ejpam-5933	306	28	that	that	SCONJ
ejpam-5933	306	29	increasing	increase	VERB
ejpam-5933	306	30	the	the	DET
ejpam-5933	306	31	parameter	parameter	NOUN
ejpam-5933	306	32	leads	lead	VERB
ejpam-5933	306	33	to	to	PART
ejpam-5933	306	34	increase	increase	VERB
ejpam-5933	306	35	in	in	ADP
ejpam-5933	306	36	r0	r0	NOUN
ejpam-5933	306	37	,	,	PUNCT
ejpam-5933	306	38	while	while	SCONJ
ejpam-5933	306	39	a	a	DET
ejpam-5933	306	40	negative	negative	ADJ
ejpam-5933	306	41	index	index	NOUN
ejpam-5933	306	42	indicates	indicate	VERB
ejpam-5933	306	43	the	the	DET
ejpam-5933	306	44	opposite	opposite	NOUN
ejpam-5933	306	45	.	.	PUNCT
ejpam-5933	307	1	parameters	parameter	NOUN
ejpam-5933	307	2	with	with	ADP
ejpam-5933	307	3	sensitivity	sensitivity	NOUN
ejpam-5933	307	4	indices	indice	VERB
ejpam-5933	307	5	closer	close	ADV
ejpam-5933	307	6	to	to	ADP
ejpam-5933	307	7	+1	+1	PROPN
ejpam-5933	307	8	or	or	CCONJ
ejpam-5933	307	9	-1	-1	VERB
ejpam-5933	307	10	have	have	VERB
ejpam-5933	307	11	a	a	DET
ejpam-5933	307	12	stronger	strong	ADJ
ejpam-5933	307	13	influence	influence	NOUN
ejpam-5933	307	14	on	on	ADP
ejpam-5933	307	15	r0	r0	NOUN
ejpam-5933	307	16	.	.	PUNCT
ejpam-5933	308	1	in	in	ADP
ejpam-5933	308	2	particular	particular	ADJ
ejpam-5933	308	3	,	,	PUNCT
ejpam-5933	308	4	figure	figure	NOUN
ejpam-5933	308	5	3	3	NUM
ejpam-5933	308	6	illustrates	illustrate	VERB
ejpam-5933	308	7	the	the	DET
ejpam-5933	308	8	3d	3d	PROPN
ejpam-5933	308	9	surface	surface	NOUN
ejpam-5933	308	10	of	of	ADP
ejpam-5933	308	11	r0	r0	NOUN
ejpam-5933	308	12	over	over	ADP
ejpam-5933	308	13	a	a	DET
ejpam-5933	308	14	range	range	NOUN
ejpam-5933	308	15	of	of	ADP
ejpam-5933	308	16	parameter	parameter	NOUN
ejpam-5933	308	17	values	value	NOUN
ejpam-5933	308	18	β	β	X
ejpam-5933	308	19	∈	∈	PROPN
ejpam-5933	309	1	[	[	X
ejpam-5933	309	2	0.001	0.001	NUM
ejpam-5933	309	3	,	,	PUNCT
ejpam-5933	309	4	0.1	0.1	NUM
ejpam-5933	309	5	]	]	PUNCT
ejpam-5933	309	6	and	and	CCONJ
ejpam-5933	309	7	γ	γ	X
ejpam-5933	309	8	∈	∈	PROPN
ejpam-5933	309	9	[	[	X
ejpam-5933	309	10	0.01	0.01	NUM
ejpam-5933	309	11	,	,	PUNCT
ejpam-5933	309	12	0.3	0.3	NUM
ejpam-5933	309	13	]	]	PUNCT
ejpam-5933	309	14	.	.	PUNCT
ejpam-5933	310	1	the	the	DET
ejpam-5933	310	2	red	red	ADJ
ejpam-5933	310	3	curve	curve	NOUN
ejpam-5933	310	4	denotes	denote	VERB
ejpam-5933	310	5	the	the	DET
ejpam-5933	310	6	epidemic	epidemic	NOUN
ejpam-5933	310	7	threshold	threshold	NOUN
ejpam-5933	310	8	r0	r0	NOUN
ejpam-5933	310	9	=	=	NOUN
ejpam-5933	310	10	1	1	X
ejpam-5933	310	11	.	.	PUNCT
ejpam-5933	310	12	regions	region	NOUN
ejpam-5933	310	13	above	above	ADP
ejpam-5933	310	14	this	this	DET
ejpam-5933	310	15	threshold	threshold	NOUN
ejpam-5933	310	16	suggest	suggest	VERB
ejpam-5933	310	17	potential	potential	ADJ
ejpam-5933	310	18	for	for	ADP
ejpam-5933	310	19	disease	disease	NOUN
ejpam-5933	310	20	spread	spread	VERB
ejpam-5933	310	21	,	,	PUNCT
ejpam-5933	310	22	whereas	whereas	SCONJ
ejpam-5933	310	23	regions	region	NOUN
ejpam-5933	310	24	below	below	ADP
ejpam-5933	310	25	imply	imply	VERB
ejpam-5933	310	26	containment	containment	NOUN
ejpam-5933	310	27	.	.	PUNCT
ejpam-5933	311	1	figure	figure	VERB
ejpam-5933	311	2	3	3	NUM
ejpam-5933	311	3	highlights	highlight	NOUN
ejpam-5933	311	4	how	how	SCONJ
ejpam-5933	311	5	r0	r0	NOUN
ejpam-5933	311	6	increases	increase	VERB
ejpam-5933	311	7	monotonically	monotonically	ADV
ejpam-5933	311	8	as	as	SCONJ
ejpam-5933	311	9	β	β	X
ejpam-5933	311	10	grows	grow	NOUN
ejpam-5933	311	11	and	and	CCONJ
ejpam-5933	311	12	decreases	decrease	NOUN
ejpam-5933	311	13	as	as	ADP
ejpam-5933	311	14	γ	γ	NOUN
ejpam-5933	311	15	increases	increase	NOUN
ejpam-5933	311	16	.	.	PUNCT
ejpam-5933	312	1	when	when	SCONJ
ejpam-5933	312	2	r0	r0	NOUN
ejpam-5933	312	3	>	>	X
ejpam-5933	312	4	1	1	NUM
ejpam-5933	312	5	,	,	PUNCT
ejpam-5933	312	6	the	the	DET
ejpam-5933	312	7	disease	disease	NOUN
ejpam-5933	312	8	can	can	AUX
ejpam-5933	312	9	spread	spread	VERB
ejpam-5933	312	10	in	in	ADP
ejpam-5933	312	11	the	the	DET
ejpam-5933	312	12	population	population	NOUN
ejpam-5933	312	13	,	,	PUNCT
ejpam-5933	312	14	whereas	whereas	SCONJ
ejpam-5933	312	15	r0	r0	NOUN
ejpam-5933	312	16	<	<	X
ejpam-5933	312	17	1	1	NUM
ejpam-5933	312	18	,	,	PUNCT
ejpam-5933	312	19	indicates	indicate	VERB
ejpam-5933	312	20	eventual	eventual	ADJ
ejpam-5933	312	21	disease	disease	NOUN
ejpam-5933	312	22	elimination	elimination	NOUN
ejpam-5933	312	23	.	.	PUNCT
ejpam-5933	313	1	r.	r.	PROPN
ejpam-5933	313	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	313	3	et	et	PROPN
ejpam-5933	313	4	al	al	PROPN
ejpam-5933	313	5	.	.	PUNCT
ejpam-5933	313	6	/	/	SYM
ejpam-5933	313	7	eur	eur	PROPN
ejpam-5933	313	8	.	.	PUNCT
ejpam-5933	314	1	j.	j.	PROPN
ejpam-5933	314	2	pure	pure	PROPN
ejpam-5933	314	3	appl	appl	PROPN
ejpam-5933	314	4	.	.	PROPN
ejpam-5933	314	5	math	math	PROPN
ejpam-5933	314	6	,	,	PUNCT
ejpam-5933	314	7	18	18	NUM
ejpam-5933	314	8	(	(	PUNCT
ejpam-5933	314	9	2	2	NUM
ejpam-5933	314	10	)	)	PUNCT
ejpam-5933	314	11	(	(	PUNCT
ejpam-5933	314	12	2025	2025	NUM
ejpam-5933	314	13	)	)	PUNCT
ejpam-5933	314	14	,	,	PUNCT
ejpam-5933	314	15	5933	5933	NUM
ejpam-5933	314	16	16	16	NUM
ejpam-5933	314	17	of	of	ADP
ejpam-5933	314	18	25	25	NUM
ejpam-5933	314	19	figure	figure	NOUN
ejpam-5933	314	20	2	2	NUM
ejpam-5933	314	21	:	:	PUNCT
ejpam-5933	314	22	sensitivity	sensitivity	NOUN
ejpam-5933	314	23	analysis	analysis	NOUN
ejpam-5933	314	24	of	of	ADP
ejpam-5933	314	25	r0	r0	NOUN
ejpam-5933	314	26	with	with	ADP
ejpam-5933	314	27	key	key	ADJ
ejpam-5933	314	28	parameters	parameter	NOUN
ejpam-5933	314	29	figure	figure	VERB
ejpam-5933	314	30	3	3	NUM
ejpam-5933	314	31	:	:	PUNCT
ejpam-5933	314	32	sensitivity	sensitivity	NOUN
ejpam-5933	314	33	analysis	analysis	NOUN
ejpam-5933	314	34	of	of	ADP
ejpam-5933	314	35	r0	r0	NOUN
ejpam-5933	314	36	to	to	ADP
ejpam-5933	314	37	transmission	transmission	NOUN
ejpam-5933	314	38	rate	rate	NOUN
ejpam-5933	314	39	(	(	PUNCT
ejpam-5933	314	40	β	β	NOUN
ejpam-5933	314	41	)	)	PUNCT
ejpam-5933	314	42	and	and	CCONJ
ejpam-5933	314	43	incubation	incubation	NOUN
ejpam-5933	314	44	rate	rate	NOUN
ejpam-5933	314	45	(	(	PUNCT
ejpam-5933	314	46	γ	γ	NOUN
ejpam-5933	314	47	)	)	PUNCT
ejpam-5933	314	48	5	5	NUM
ejpam-5933	314	49	.	.	PUNCT
ejpam-5933	315	1	numerical	numerical	ADJ
ejpam-5933	315	2	scheme	scheme	PROPN
ejpam-5933	315	3	here	here	ADV
ejpam-5933	315	4	,	,	PUNCT
ejpam-5933	315	5	a	a	DET
ejpam-5933	315	6	numerical	numerical	ADJ
ejpam-5933	315	7	scheme	scheme	NOUN
ejpam-5933	315	8	for	for	ADP
ejpam-5933	315	9	the	the	DET
ejpam-5933	315	10	system	system	NOUN
ejpam-5933	315	11	(	(	PUNCT
ejpam-5933	315	12	1	1	X
ejpam-5933	315	13	)	)	PUNCT
ejpam-5933	315	14	is	be	AUX
ejpam-5933	315	15	developed	develop	VERB
ejpam-5933	315	16	.	.	PUNCT
ejpam-5933	316	1	for	for	ADP
ejpam-5933	316	2	this	this	PRON
ejpam-5933	316	3	,	,	PUNCT
ejpam-5933	316	4	we	we	PRON
ejpam-5933	316	5	use	use	VERB
ejpam-5933	316	6	the	the	DET
ejpam-5933	316	7	approach	approach	NOUN
ejpam-5933	316	8	related	relate	VERB
ejpam-5933	316	9	to	to	ADP
ejpam-5933	316	10	newton	newton	PROPN
ejpam-5933	316	11	interpolation	interpolation	NOUN
ejpam-5933	316	12	polynomials	polynomial	NOUN
ejpam-5933	316	13	.	.	PUNCT
ejpam-5933	317	1	consider	consider	VERB
ejpam-5933	317	2	a	a	DET
ejpam-5933	317	3	general	general	ADJ
ejpam-5933	317	4	cauchy	cauchy	ADJ
ejpam-5933	317	5	problem	problem	NOUN
ejpam-5933	317	6	with	with	ADP
ejpam-5933	317	7	fractal	fractal	ADJ
ejpam-5933	317	8	fractional	fractional	ADJ
ejpam-5933	317	9	differential	differential	NOUN
ejpam-5933	317	10	operator	operator	NOUN
ejpam-5933	317	11	as	as	ADP
ejpam-5933	317	12	:	:	PUNCT
ejpam-5933	317	13	{	{	PUNCT
ejpam-5933	317	14	cfda	cfda	PROPN
ejpam-5933	317	15	sϕ(s	sϕ(s	PROPN
ejpam-5933	317	16	)	)	PUNCT
ejpam-5933	317	17	=	=	SYM
ejpam-5933	317	18	k(s	k(s	PROPN
ejpam-5933	317	19	,	,	PUNCT
ejpam-5933	317	20	ϕ(s	ϕ(s	PROPN
ejpam-5933	317	21	)	)	PUNCT
ejpam-5933	317	22	)	)	PUNCT
ejpam-5933	318	1	ϕ(0	ϕ(0	NOUN
ejpam-5933	318	2	)	)	PUNCT
ejpam-5933	319	1	=	=	SYM
ejpam-5933	319	2	ϕ0	ϕ0	NOUN
ejpam-5933	319	3	.	.	PUNCT
ejpam-5933	320	1	(	(	PUNCT
ejpam-5933	320	2	17	17	NUM
ejpam-5933	320	3	)	)	PUNCT
ejpam-5933	320	4	utilizing	utilize	VERB
ejpam-5933	320	5	the	the	DET
ejpam-5933	320	6	fractal	fractal	ADJ
ejpam-5933	320	7	fractional	fractional	ADJ
ejpam-5933	320	8	integral	integral	ADJ
ejpam-5933	320	9	operator	operator	NOUN
ejpam-5933	320	10	,	,	PUNCT
ejpam-5933	320	11	we	we	PRON
ejpam-5933	320	12	obtain	obtain	VERB
ejpam-5933	320	13	ϕ(s	ϕ(s	PRON
ejpam-5933	320	14	)	)	PUNCT
ejpam-5933	320	15	=	=	SYM
ejpam-5933	320	16	ϕ(0	ϕ(0	PROPN
ejpam-5933	320	17	)	)	PUNCT
ejpam-5933	321	1	+	+	CCONJ
ejpam-5933	321	2	2(1−	2(1−	X
ejpam-5933	321	3	a	a	X
ejpam-5933	321	4	)	)	PUNCT
ejpam-5933	321	5	(	(	PUNCT
ejpam-5933	321	6	2−	2−	NUM
ejpam-5933	321	7	a)m(a	a)m(a	NOUN
ejpam-5933	321	8	)	)	PUNCT
ejpam-5933	321	9	k(s	k(s	PROPN
ejpam-5933	321	10	,	,	PUNCT
ejpam-5933	321	11	ϕ(s	ϕ(s	PROPN
ejpam-5933	321	12	)	)	PUNCT
ejpam-5933	321	13	)	)	PUNCT
ejpam-5933	322	1	+	+	CCONJ
ejpam-5933	322	2	2a	2a	NUM
ejpam-5933	322	3	(	(	PUNCT
ejpam-5933	322	4	2−	2−	NUM
ejpam-5933	322	5	a)m(a	a)m(a	NOUN
ejpam-5933	322	6	)	)	PUNCT
ejpam-5933	322	7	∫	∫	PROPN
ejpam-5933	322	8	s	s	PART
ejpam-5933	322	9	0	0	NUM
ejpam-5933	322	10	k(ξ	k(ξ	PROPN
ejpam-5933	322	11	,	,	PUNCT
ejpam-5933	322	12	ϕ(ξ))dξ	ϕ(ξ))dξ	X
ejpam-5933	322	13	.	.	PUNCT
ejpam-5933	323	1	putting	put	VERB
ejpam-5933	323	2	s	s	PRON
ejpam-5933	323	3	by	by	ADP
ejpam-5933	323	4	sn+1	sn+1	PROPN
ejpam-5933	323	5	,	,	PUNCT
ejpam-5933	323	6	which	which	PRON
ejpam-5933	323	7	gives	give	VERB
ejpam-5933	323	8	ϕn+1	ϕn+1	PROPN
ejpam-5933	323	9	=	=	SYM
ejpam-5933	323	10	ϕ(0	ϕ(0	PROPN
ejpam-5933	323	11	)	)	PUNCT
ejpam-5933	324	1	+	+	CCONJ
ejpam-5933	324	2	2(1−	2(1−	X
ejpam-5933	324	3	a	a	X
ejpam-5933	324	4	)	)	PUNCT
ejpam-5933	324	5	(	(	PUNCT
ejpam-5933	324	6	2−	2−	NUM
ejpam-5933	324	7	a)m(a	a)m(a	NOUN
ejpam-5933	324	8	)	)	PUNCT
ejpam-5933	324	9	k(sn	k(sn	NUM
ejpam-5933	324	10	,	,	PUNCT
ejpam-5933	324	11	ϕ(sn	ϕ(sn	NOUN
ejpam-5933	324	12	)	)	PUNCT
ejpam-5933	324	13	)	)	PUNCT
ejpam-5933	325	1	+	+	CCONJ
ejpam-5933	325	2	2a	2a	NUM
ejpam-5933	325	3	(	(	PUNCT
ejpam-5933	325	4	2−	2−	NUM
ejpam-5933	325	5	a)m(a	a)m(a	NOUN
ejpam-5933	325	6	)	)	PUNCT
ejpam-5933	325	7	∫	∫	PROPN
ejpam-5933	325	8	sn+1	sn+1	PROPN
ejpam-5933	325	9	0	0	X
ejpam-5933	325	10	k(s	k(s	PROPN
ejpam-5933	325	11	,	,	PUNCT
ejpam-5933	325	12	ϕ(s))ds	ϕ(s))ds	PROPN
ejpam-5933	325	13	.	.	PUNCT
ejpam-5933	326	1	r.	r.	PROPN
ejpam-5933	326	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	326	3	et	et	PROPN
ejpam-5933	326	4	al	al	PROPN
ejpam-5933	326	5	.	.	PUNCT
ejpam-5933	326	6	/	/	SYM
ejpam-5933	326	7	eur	eur	PROPN
ejpam-5933	326	8	.	.	PUNCT
ejpam-5933	327	1	j.	j.	PROPN
ejpam-5933	327	2	pure	pure	PROPN
ejpam-5933	327	3	appl	appl	PROPN
ejpam-5933	327	4	.	.	PROPN
ejpam-5933	327	5	math	math	PROPN
ejpam-5933	327	6	,	,	PUNCT
ejpam-5933	327	7	18	18	NUM
ejpam-5933	327	8	(	(	PUNCT
ejpam-5933	327	9	2	2	NUM
ejpam-5933	327	10	)	)	PUNCT
ejpam-5933	327	11	(	(	PUNCT
ejpam-5933	327	12	2025	2025	NUM
ejpam-5933	327	13	)	)	PUNCT
ejpam-5933	327	14	,	,	PUNCT
ejpam-5933	327	15	5933	5933	NUM
ejpam-5933	327	16	17	17	NUM
ejpam-5933	327	17	of	of	ADP
ejpam-5933	327	18	25	25	NUM
ejpam-5933	327	19	the	the	DET
ejpam-5933	327	20	successive	successive	ADJ
ejpam-5933	327	21	terms	term	NOUN
ejpam-5933	327	22	difference	difference	NOUN
ejpam-5933	327	23	is	be	AUX
ejpam-5933	327	24	given	give	VERB
ejpam-5933	327	25	as	as	SCONJ
ejpam-5933	327	26	follows	follow	VERB
ejpam-5933	327	27	:	:	PUNCT
ejpam-5933	327	28	ϕn+1	ϕn+1	NOUN
ejpam-5933	327	29	−	−	NOUN
ejpam-5933	328	1	ϕn	ϕn	INTJ
ejpam-5933	329	1	=	=	PUNCT
ejpam-5933	329	2	2(1−	2(1−	NOUN
ejpam-5933	329	3	a	a	NOUN
ejpam-5933	329	4	)	)	PUNCT
ejpam-5933	329	5	(	(	PUNCT
ejpam-5933	329	6	2−	2−	NUM
ejpam-5933	329	7	a)m(a	a)m(a	NOUN
ejpam-5933	329	8	)	)	PUNCT
ejpam-5933	329	9	(	(	PUNCT
ejpam-5933	329	10	k(sn	k(sn	ADJ
ejpam-5933	329	11	,	,	PUNCT
ejpam-5933	329	12	ϕn)−k(sn−1	ϕn)−k(sn−1	ADJ
ejpam-5933	329	13	,	,	PUNCT
ejpam-5933	329	14	ϕn−1	ϕn−1	ADJ
ejpam-5933	329	15	)	)	PUNCT
ejpam-5933	329	16	)	)	PUNCT
ejpam-5933	330	1	+	+	CCONJ
ejpam-5933	330	2	2a	2a	NUM
ejpam-5933	330	3	(	(	PUNCT
ejpam-5933	330	4	2−	2−	NUM
ejpam-5933	330	5	a)m(a	a)m(a	NOUN
ejpam-5933	330	6	)	)	PUNCT
ejpam-5933	330	7	∫	∫	PROPN
ejpam-5933	330	8	sn+1	sn+1	PROPN
ejpam-5933	330	9	sn	sn	PROPN
ejpam-5933	330	10	k(s	k(s	PROPN
ejpam-5933	330	11	,	,	PUNCT
ejpam-5933	330	12	ϕ(s))ds	ϕ(s))ds	PROPN
ejpam-5933	330	13	.	.	PUNCT
ejpam-5933	331	1	(	(	PUNCT
ejpam-5933	331	2	18	18	NUM
ejpam-5933	331	3	)	)	PUNCT
ejpam-5933	331	4	over	over	ADP
ejpam-5933	331	5	the	the	DET
ejpam-5933	331	6	closed	closed	ADJ
ejpam-5933	331	7	interval	interval	NOUN
ejpam-5933	331	8	[	[	X
ejpam-5933	331	9	sm	sm	X
ejpam-5933	331	10	,	,	PUNCT
ejpam-5933	331	11	sm+1	sm+1	X
ejpam-5933	331	12	]	]	PUNCT
ejpam-5933	331	13	,	,	PUNCT
ejpam-5933	331	14	the	the	DET
ejpam-5933	331	15	function	function	NOUN
ejpam-5933	331	16	k(ξ	k(ξ	PROPN
ejpam-5933	331	17	,	,	PUNCT
ejpam-5933	331	18	ϕ(ξ	ϕ(ξ	PROPN
ejpam-5933	331	19	)	)	PUNCT
ejpam-5933	331	20	)	)	PUNCT
ejpam-5933	331	21	can	can	AUX
ejpam-5933	331	22	be	be	AUX
ejpam-5933	331	23	approximated	approximate	VERB
ejpam-5933	331	24	by	by	ADP
ejpam-5933	331	25	the	the	DET
ejpam-5933	331	26	interpolation	interpolation	NOUN
ejpam-5933	331	27	polynomial	polynomial	ADJ
ejpam-5933	331	28	θm(s	θm(s	NOUN
ejpam-5933	331	29	)	)	PUNCT
ejpam-5933	332	1	∼=	∼=	PROPN
ejpam-5933	332	2	g(sm	g(sm	PROPN
ejpam-5933	332	3	,	,	PUNCT
ejpam-5933	332	4	ym	ym	PROPN
ejpam-5933	332	5	)	)	PUNCT
ejpam-5933	332	6	h	h	PROPN
ejpam-5933	332	7	(	(	PUNCT
ejpam-5933	332	8	s−	s−	PROPN
ejpam-5933	332	9	sm−1)−	sm−1)−	PROPN
ejpam-5933	332	10	g(sm−1	g(sm−1	PROPN
ejpam-5933	332	11	,	,	PUNCT
ejpam-5933	332	12	ym−1	ym−1	PROPN
ejpam-5933	332	13	)	)	PUNCT
ejpam-5933	332	14	h	h	NOUN
ejpam-5933	332	15	(	(	PUNCT
ejpam-5933	332	16	s−	s−	PROPN
ejpam-5933	332	17	sm	sm	PROPN
ejpam-5933	332	18	)	)	PUNCT
ejpam-5933	332	19	,	,	PUNCT
ejpam-5933	332	20	(	(	PUNCT
ejpam-5933	332	21	19	19	NUM
ejpam-5933	332	22	)	)	PUNCT
ejpam-5933	332	23	where	where	SCONJ
ejpam-5933	332	24	h	h	NOUN
ejpam-5933	332	25	=	=	PUNCT
ejpam-5933	332	26	sm	sm	PROPN
ejpam-5933	332	27	−	−	PROPN
ejpam-5933	332	28	sm−1	sm−1	NOUN
ejpam-5933	332	29	.	.	PUNCT
ejpam-5933	333	1	consequently,∫	consequently,∫	PROPN
ejpam-5933	333	2	sn+1	sn+1	PROPN
ejpam-5933	333	3	sn	sn	PROPN
ejpam-5933	333	4	k(s	k(s	PROPN
ejpam-5933	333	5	,	,	PUNCT
ejpam-5933	333	6	ϕ(s))ds	ϕ(s))ds	PROPN
ejpam-5933	334	1	=	=	SYM
ejpam-5933	334	2	∫	∫	PROPN
ejpam-5933	334	3	sn+1	sn+1	X
ejpam-5933	334	4	sn	sn	PROPN
ejpam-5933	334	5	(	(	PUNCT
ejpam-5933	334	6	k(sn	k(sn	PROPN
ejpam-5933	334	7	,	,	PUNCT
ejpam-5933	334	8	ϕn	ϕn	INTJ
ejpam-5933	334	9	)	)	PUNCT
ejpam-5933	334	10	h	h	NOUN
ejpam-5933	334	11	(	(	PUNCT
ejpam-5933	334	12	s−	s−	PROPN
ejpam-5933	334	13	sn−1)−	sn−1)−	NUM
ejpam-5933	334	14	k(sn−1	k(sn−1	PROPN
ejpam-5933	334	15	,	,	PUNCT
ejpam-5933	334	16	ϕn−1	ϕn−1	ADJ
ejpam-5933	334	17	)	)	PUNCT
ejpam-5933	334	18	h	h	NOUN
ejpam-5933	334	19	(	(	PUNCT
ejpam-5933	334	20	s−	s−	PROPN
ejpam-5933	334	21	sn	sn	PROPN
ejpam-5933	334	22	)	)	PUNCT
ejpam-5933	334	23	)	)	PUNCT
ejpam-5933	335	1	ds	ds	NOUN
ejpam-5933	335	2	=	=	SYM
ejpam-5933	335	3	3h	3h	NUM
ejpam-5933	335	4	2	2	NUM
ejpam-5933	335	5	k(sn	k(sn	NUM
ejpam-5933	335	6	,	,	PUNCT
ejpam-5933	335	7	ϕn)−	ϕn)−	PUNCT
ejpam-5933	335	8	h	h	NOUN
ejpam-5933	335	9	2	2	NUM
ejpam-5933	335	10	k(sn−1	k(sn−1	PROPN
ejpam-5933	335	11	,	,	PUNCT
ejpam-5933	335	12	ϕn−1	ϕn−1	PROPN
ejpam-5933	335	13	)	)	PUNCT
ejpam-5933	335	14	.	.	PUNCT
ejpam-5933	336	1	(	(	PUNCT
ejpam-5933	336	2	20	20	X
ejpam-5933	336	3	)	)	PUNCT
ejpam-5933	336	4	putting	put	VERB
ejpam-5933	336	5	(	(	PUNCT
ejpam-5933	336	6	20	20	NUM
ejpam-5933	336	7	)	)	PUNCT
ejpam-5933	336	8	in	in	ADP
ejpam-5933	336	9	(	(	PUNCT
ejpam-5933	336	10	18	18	NUM
ejpam-5933	336	11	)	)	PUNCT
ejpam-5933	336	12	and	and	CCONJ
ejpam-5933	336	13	after	after	ADP
ejpam-5933	336	14	simplification	simplification	NOUN
ejpam-5933	336	15	,	,	PUNCT
ejpam-5933	336	16	we	we	PRON
ejpam-5933	336	17	get	get	VERB
ejpam-5933	336	18	ϕn+1	ϕn+1	ADJ
ejpam-5933	337	1	=	=	PRON
ejpam-5933	337	2	ϕn	ϕn	X
ejpam-5933	338	1	+	+	X
ejpam-5933	338	2	(	(	PUNCT
ejpam-5933	338	3	2(1−	2(1−	NUM
ejpam-5933	338	4	a	a	NOUN
ejpam-5933	338	5	)	)	PUNCT
ejpam-5933	338	6	(	(	PUNCT
ejpam-5933	338	7	2−	2−	NUM
ejpam-5933	338	8	a)m(a	a)m(a	NOUN
ejpam-5933	338	9	)	)	PUNCT
ejpam-5933	339	1	+	+	NUM
ejpam-5933	339	2	3ah	3ah	ADJ
ejpam-5933	339	3	(	(	PUNCT
ejpam-5933	339	4	2−	2−	NUM
ejpam-5933	339	5	a)m(a	a)m(a	NOUN
ejpam-5933	339	6	)	)	PUNCT
ejpam-5933	339	7	)	)	PUNCT
ejpam-5933	340	1	k(sn	k(sn	PROPN
ejpam-5933	340	2	,	,	PUNCT
ejpam-5933	340	3	ϕn	ϕn	INTJ
ejpam-5933	340	4	)	)	PUNCT
ejpam-5933	340	5	−	−	PROPN
ejpam-5933	341	1	(	(	PUNCT
ejpam-5933	341	2	2(1−	2(1−	NUM
ejpam-5933	341	3	a	a	NOUN
ejpam-5933	341	4	)	)	PUNCT
ejpam-5933	341	5	(	(	PUNCT
ejpam-5933	341	6	2−	2−	NUM
ejpam-5933	341	7	a)m(a	a)m(a	NOUN
ejpam-5933	341	8	)	)	PUNCT
ejpam-5933	342	1	+	+	CCONJ
ejpam-5933	342	2	ah	ah	INTJ
ejpam-5933	342	3	(	(	PUNCT
ejpam-5933	342	4	2−	2−	NUM
ejpam-5933	342	5	a)m(a	a)m(a	NOUN
ejpam-5933	342	6	)	)	PUNCT
ejpam-5933	342	7	)	)	PUNCT
ejpam-5933	343	1	k(sn−1	k(sn−1	PROPN
ejpam-5933	343	2	,	,	PUNCT
ejpam-5933	343	3	ϕn−1	ϕn−1	ADJ
ejpam-5933	343	4	)	)	PUNCT
ejpam-5933	343	5	.	.	PUNCT
ejpam-5933	344	1	component	component	NOUN
ejpam-5933	344	2	-	-	PUNCT
ejpam-5933	344	3	wise	wise	ADJ
ejpam-5933	344	4	representation	representation	NOUN
ejpam-5933	344	5	using	use	VERB
ejpam-5933	344	6	kernels	kernel	NOUN
ejpam-5933	344	7	we	we	PRON
ejpam-5933	344	8	now	now	ADV
ejpam-5933	344	9	express	express	VERB
ejpam-5933	344	10	the	the	DET
ejpam-5933	344	11	right	right	ADJ
ejpam-5933	344	12	-	-	PUNCT
ejpam-5933	344	13	hand	hand	NOUN
ejpam-5933	344	14	side	side	NOUN
ejpam-5933	344	15	of	of	ADP
ejpam-5933	344	16	the	the	DET
ejpam-5933	344	17	system	system	NOUN
ejpam-5933	344	18	(	(	PUNCT
ejpam-5933	344	19	10	10	NUM
ejpam-5933	344	20	)	)	PUNCT
ejpam-5933	344	21	in	in	ADP
ejpam-5933	344	22	terms	term	NOUN
ejpam-5933	344	23	of	of	ADP
ejpam-5933	344	24	kernel	kernel	NOUN
ejpam-5933	344	25	functions	function	NOUN
ejpam-5933	344	26	for	for	ADP
ejpam-5933	344	27	each	each	DET
ejpam-5933	344	28	epidemiological	epidemiological	ADJ
ejpam-5933	344	29	class	class	NOUN
ejpam-5933	344	30	.	.	PUNCT
ejpam-5933	345	1			PROPN
ejpam-5933	345	2	k1(s	k1(s	PROPN
ejpam-5933	345	3	,	,	PUNCT
ejpam-5933	345	4	s	s	PART
ejpam-5933	345	5	)	)	PUNCT
ejpam-5933	345	6	=	=	SYM
ejpam-5933	346	1	αn	αn	NOUN
ejpam-5933	346	2	−	−	NOUN
ejpam-5933	346	3	βsi	βsi	NOUN
ejpam-5933	346	4	+	+	CCONJ
ejpam-5933	346	5	θr−	θr−	NUM
ejpam-5933	346	6	ϕs	ϕs	PROPN
ejpam-5933	346	7	,	,	PUNCT
ejpam-5933	346	8	k2(s	k2(s	PROPN
ejpam-5933	346	9	,	,	PUNCT
ejpam-5933	346	10	e	e	NOUN
ejpam-5933	346	11	)	)	PUNCT
ejpam-5933	346	12	=	=	SYM
ejpam-5933	346	13	βsi	βsi	NOUN
ejpam-5933	346	14	−	−	NOUN
ejpam-5933	346	15	γe	γe	INTJ
ejpam-5933	346	16	−	−	PROPN
ejpam-5933	346	17	ϕe	ϕe	PROPN
ejpam-5933	346	18	,	,	PUNCT
ejpam-5933	346	19	k3(s	k3(s	PROPN
ejpam-5933	346	20	,	,	PUNCT
ejpam-5933	346	21	i	i	PROPN
ejpam-5933	346	22	)	)	PUNCT
ejpam-5933	346	23	=	=	PUNCT
ejpam-5933	347	1	γe	γe	NUM
ejpam-5933	347	2	−	−	PROPN
ejpam-5933	347	3	ωi	ωi	INTJ
ejpam-5933	347	4	−	−	PUNCT
ejpam-5933	347	5	ϕi	ϕi	ADP
ejpam-5933	347	6	,	,	PUNCT
ejpam-5933	347	7	k4(s	k4(s	NOUN
ejpam-5933	347	8	,	,	PUNCT
ejpam-5933	347	9	r	r	NOUN
ejpam-5933	347	10	)	)	PUNCT
ejpam-5933	347	11	=	=	SYM
ejpam-5933	347	12	ωi	ωi	PUNCT
ejpam-5933	347	13	−	−	PROPN
ejpam-5933	347	14	θr−	θr−	NUM
ejpam-5933	347	15	ϕr	ϕr	NOUN
ejpam-5933	347	16	.	.	PUNCT
ejpam-5933	347	17	where	where	SCONJ
ejpam-5933	347	18	λ	λ	NOUN
ejpam-5933	347	19	,	,	PUNCT
ejpam-5933	347	20	β	β	PROPN
ejpam-5933	347	21	,	,	PUNCT
ejpam-5933	347	22	δ	δ	PROPN
ejpam-5933	347	23	,	,	PUNCT
ejpam-5933	347	24	γ	γ	PROPN
ejpam-5933	347	25	,	,	PUNCT
ejpam-5933	347	26	and	and	CCONJ
ejpam-5933	347	27	µ	µ	NOUN
ejpam-5933	347	28	are	be	AUX
ejpam-5933	347	29	the	the	DET
ejpam-5933	347	30	respective	respective	ADJ
ejpam-5933	347	31	model	model	NOUN
ejpam-5933	347	32	parameters	parameter	NOUN
ejpam-5933	347	33	.	.	PUNCT
ejpam-5933	348	1	these	these	DET
ejpam-5933	348	2	kernels	kernel	NOUN
ejpam-5933	348	3	represent	represent	VERB
ejpam-5933	348	4	the	the	DET
ejpam-5933	348	5	instantaneous	instantaneous	ADJ
ejpam-5933	348	6	rate	rate	NOUN
ejpam-5933	348	7	of	of	ADP
ejpam-5933	348	8	change	change	NOUN
ejpam-5933	348	9	in	in	ADP
ejpam-5933	348	10	each	each	DET
ejpam-5933	348	11	compartment	compartment	NOUN
ejpam-5933	348	12	and	and	CCONJ
ejpam-5933	348	13	are	be	AUX
ejpam-5933	348	14	used	use	VERB
ejpam-5933	348	15	in	in	ADP
ejpam-5933	348	16	the	the	DET
ejpam-5933	348	17	numerical	numerical	ADJ
ejpam-5933	348	18	scheme	scheme	NOUN
ejpam-5933	348	19	via	via	ADP
ejpam-5933	348	20	their	their	PRON
ejpam-5933	348	21	evaluations	evaluation	NOUN
ejpam-5933	348	22	at	at	ADP
ejpam-5933	348	23	discrete	discrete	ADJ
ejpam-5933	348	24	time	time	NOUN
ejpam-5933	348	25	steps	step	NOUN
ejpam-5933	348	26	.	.	PUNCT
ejpam-5933	349	1	hence	hence	ADV
ejpam-5933	349	2	,	,	PUNCT
ejpam-5933	349	3	the	the	DET
ejpam-5933	349	4	numerical	numerical	ADJ
ejpam-5933	349	5	scheme	scheme	NOUN
ejpam-5933	349	6	for	for	ADP
ejpam-5933	349	7	(	(	PUNCT
ejpam-5933	349	8	10	10	NUM
ejpam-5933	349	9	)	)	PUNCT
ejpam-5933	349	10	is	be	AUX
ejpam-5933	349	11	obtained	obtain	VERB
ejpam-5933	349	12	as	as	ADP
ejpam-5933	349	13	the	the	DET
ejpam-5933	349	14	following	following	NOUN
ejpam-5933	349	15	:	:	PUNCT
ejpam-5933	349	16	sn+1	sn+1	X
ejpam-5933	349	17	=	=	SYM
ejpam-5933	349	18	sn	sn	PROPN
ejpam-5933	349	19	+	+	CCONJ
ejpam-5933	349	20	(	(	PUNCT
ejpam-5933	349	21	2(1−	2(1−	NUM
ejpam-5933	349	22	a	a	NOUN
ejpam-5933	349	23	)	)	PUNCT
ejpam-5933	349	24	(	(	PUNCT
ejpam-5933	349	25	2−	2−	NUM
ejpam-5933	349	26	a)m(a	a)m(a	NOUN
ejpam-5933	349	27	)	)	PUNCT
ejpam-5933	349	28	+	+	NUM
ejpam-5933	349	29	3ah	3ah	ADJ
ejpam-5933	349	30	(	(	PUNCT
ejpam-5933	349	31	2−	2−	NUM
ejpam-5933	349	32	a)m(a	a)m(a	NOUN
ejpam-5933	349	33	)	)	PUNCT
ejpam-5933	349	34	)	)	PUNCT
ejpam-5933	350	1	k1(sn	k1(sn	PROPN
ejpam-5933	350	2	,	,	PUNCT
ejpam-5933	350	3	sn	sn	PROPN
ejpam-5933	350	4	)	)	PUNCT
ejpam-5933	350	5	r.	r.	PROPN
ejpam-5933	350	6	ramaswamy	ramaswamy	PROPN
ejpam-5933	350	7	et	et	PROPN
ejpam-5933	350	8	al	al	PROPN
ejpam-5933	350	9	.	.	PUNCT
ejpam-5933	350	10	/	/	SYM
ejpam-5933	350	11	eur	eur	PROPN
ejpam-5933	350	12	.	.	PUNCT
ejpam-5933	351	1	j.	j.	PROPN
ejpam-5933	351	2	pure	pure	PROPN
ejpam-5933	351	3	appl	appl	PROPN
ejpam-5933	351	4	.	.	PROPN
ejpam-5933	351	5	math	math	PROPN
ejpam-5933	351	6	,	,	PUNCT
ejpam-5933	351	7	18	18	NUM
ejpam-5933	351	8	(	(	PUNCT
ejpam-5933	351	9	2	2	NUM
ejpam-5933	351	10	)	)	PUNCT
ejpam-5933	351	11	(	(	PUNCT
ejpam-5933	351	12	2025	2025	NUM
ejpam-5933	351	13	)	)	PUNCT
ejpam-5933	351	14	,	,	PUNCT
ejpam-5933	351	15	5933	5933	NUM
ejpam-5933	351	16	18	18	NUM
ejpam-5933	351	17	of	of	ADP
ejpam-5933	351	18	25	25	NUM
ejpam-5933	351	19	−	−	NOUN
ejpam-5933	351	20	(	(	PUNCT
ejpam-5933	351	21	2(1−	2(1−	NOUN
ejpam-5933	351	22	a	a	NOUN
ejpam-5933	351	23	)	)	PUNCT
ejpam-5933	351	24	(	(	PUNCT
ejpam-5933	351	25	2−	2−	NUM
ejpam-5933	351	26	a)m(a	a)m(a	NOUN
ejpam-5933	351	27	)	)	PUNCT
ejpam-5933	351	28	+	+	CCONJ
ejpam-5933	351	29	ah	ah	INTJ
ejpam-5933	351	30	(	(	PUNCT
ejpam-5933	351	31	2−	2−	NUM
ejpam-5933	351	32	a)m(a	a)m(a	NOUN
ejpam-5933	351	33	)	)	PUNCT
ejpam-5933	351	34	)	)	PUNCT
ejpam-5933	351	35	k1(sn−1,sn−1	k1(sn−1,sn−1	PROPN
ejpam-5933	351	36	)	)	PUNCT
ejpam-5933	351	37	,	,	PUNCT
ejpam-5933	351	38	en+1	en+1	ADJ
ejpam-5933	351	39	=	=	SYM
ejpam-5933	351	40	en	en	X
ejpam-5933	351	41	+	+	X
ejpam-5933	351	42	(	(	PUNCT
ejpam-5933	351	43	2(1−	2(1−	NOUN
ejpam-5933	351	44	a	a	NOUN
ejpam-5933	351	45	)	)	PUNCT
ejpam-5933	351	46	(	(	PUNCT
ejpam-5933	351	47	2−	2−	NUM
ejpam-5933	351	48	a)m(a	a)m(a	NOUN
ejpam-5933	351	49	)	)	PUNCT
ejpam-5933	351	50	+	+	NUM
ejpam-5933	351	51	3ah	3ah	ADJ
ejpam-5933	351	52	(	(	PUNCT
ejpam-5933	351	53	2−	2−	NUM
ejpam-5933	351	54	a)m(a	a)m(a	NOUN
ejpam-5933	351	55	)	)	PUNCT
ejpam-5933	351	56	)	)	PUNCT
ejpam-5933	352	1	k2(sn	k2(sn	PROPN
ejpam-5933	352	2	,	,	PUNCT
ejpam-5933	352	3	en	en	ADJ
ejpam-5933	352	4	)	)	PUNCT
ejpam-5933	352	5	−	−	PROPN
ejpam-5933	352	6	(	(	PUNCT
ejpam-5933	352	7	2(1−	2(1−	NUM
ejpam-5933	352	8	a	a	NOUN
ejpam-5933	352	9	)	)	PUNCT
ejpam-5933	352	10	(	(	PUNCT
ejpam-5933	352	11	2−	2−	NUM
ejpam-5933	352	12	a)m(a	a)m(a	NOUN
ejpam-5933	352	13	)	)	PUNCT
ejpam-5933	353	1	+	+	CCONJ
ejpam-5933	353	2	ah	ah	INTJ
ejpam-5933	353	3	(	(	PUNCT
ejpam-5933	353	4	2−	2−	NUM
ejpam-5933	353	5	a)m(a	a)m(a	NOUN
ejpam-5933	353	6	)	)	PUNCT
ejpam-5933	353	7	)	)	PUNCT
ejpam-5933	354	1	k2(sn−1	k2(sn−1	PROPN
ejpam-5933	354	2	,	,	PUNCT
ejpam-5933	354	3	en−1	en−1	PROPN
ejpam-5933	354	4	)	)	PUNCT
ejpam-5933	354	5	,	,	PUNCT
ejpam-5933	354	6	‘	'	PUNCT
ejpam-5933	354	7	in+1	in+1	NOUN
ejpam-5933	354	8	=	=	NOUN
ejpam-5933	354	9	in	in	ADP
ejpam-5933	354	10	+	+	CCONJ
ejpam-5933	354	11	(	(	PUNCT
ejpam-5933	354	12	2(1−	2(1−	NOUN
ejpam-5933	354	13	a	a	NOUN
ejpam-5933	354	14	)	)	PUNCT
ejpam-5933	354	15	(	(	PUNCT
ejpam-5933	354	16	2−	2−	NUM
ejpam-5933	354	17	a)m(a	a)m(a	NOUN
ejpam-5933	354	18	)	)	PUNCT
ejpam-5933	354	19	+	+	NUM
ejpam-5933	354	20	3ah	3ah	ADJ
ejpam-5933	354	21	(	(	PUNCT
ejpam-5933	354	22	2−	2−	NUM
ejpam-5933	354	23	a)m(a	a)m(a	NOUN
ejpam-5933	354	24	)	)	PUNCT
ejpam-5933	354	25	)	)	PUNCT
ejpam-5933	355	1	k3(sn	k3(sn	PROPN
ejpam-5933	355	2	,	,	PUNCT
ejpam-5933	355	3	in	in	ADP
ejpam-5933	355	4	)	)	PUNCT
ejpam-5933	355	5	−	−	PROPN
ejpam-5933	355	6	(	(	PUNCT
ejpam-5933	355	7	2(1−	2(1−	NUM
ejpam-5933	355	8	a	a	NOUN
ejpam-5933	355	9	)	)	PUNCT
ejpam-5933	355	10	(	(	PUNCT
ejpam-5933	355	11	2−	2−	NUM
ejpam-5933	355	12	a)m(a	a)m(a	NOUN
ejpam-5933	355	13	)	)	PUNCT
ejpam-5933	355	14	+	+	CCONJ
ejpam-5933	355	15	ah	ah	INTJ
ejpam-5933	355	16	(	(	PUNCT
ejpam-5933	355	17	2−	2−	NUM
ejpam-5933	355	18	a)m(a	a)m(a	NOUN
ejpam-5933	355	19	)	)	PUNCT
ejpam-5933	355	20	)	)	PUNCT
ejpam-5933	356	1	k3(sn−1	k3(sn−1	PROPN
ejpam-5933	356	2	,	,	PUNCT
ejpam-5933	356	3	in−1	in−1	ADJ
ejpam-5933	356	4	)	)	PUNCT
ejpam-5933	356	5	,	,	PUNCT
ejpam-5933	356	6	‘	'	PUNCT
ejpam-5933	356	7	rn+1	rn+1	PROPN
ejpam-5933	356	8	=	=	SYM
ejpam-5933	356	9	rn	rn	PROPN
ejpam-5933	356	10	+	+	CCONJ
ejpam-5933	356	11	(	(	PUNCT
ejpam-5933	356	12	2(1−	2(1−	NUM
ejpam-5933	356	13	a	a	NOUN
ejpam-5933	356	14	)	)	PUNCT
ejpam-5933	356	15	(	(	PUNCT
ejpam-5933	356	16	2−	2−	NUM
ejpam-5933	356	17	a)m(a	a)m(a	NOUN
ejpam-5933	356	18	)	)	PUNCT
ejpam-5933	356	19	+	+	NUM
ejpam-5933	356	20	3ah	3ah	ADJ
ejpam-5933	356	21	(	(	PUNCT
ejpam-5933	356	22	2−	2−	NUM
ejpam-5933	356	23	a)m(a	a)m(a	NOUN
ejpam-5933	356	24	)	)	PUNCT
ejpam-5933	356	25	)	)	PUNCT
ejpam-5933	357	1	k4(sn	k4(sn	PROPN
ejpam-5933	357	2	,	,	PUNCT
ejpam-5933	357	3	rn	rn	NOUN
ejpam-5933	357	4	)	)	PUNCT
ejpam-5933	357	5	−	−	PROPN
ejpam-5933	357	6	(	(	PUNCT
ejpam-5933	357	7	2(1−	2(1−	NUM
ejpam-5933	357	8	a	a	NOUN
ejpam-5933	357	9	)	)	PUNCT
ejpam-5933	357	10	(	(	PUNCT
ejpam-5933	357	11	2−	2−	NUM
ejpam-5933	357	12	a)m(a	a)m(a	NOUN
ejpam-5933	357	13	)	)	PUNCT
ejpam-5933	358	1	+	+	CCONJ
ejpam-5933	358	2	ah	ah	INTJ
ejpam-5933	358	3	(	(	PUNCT
ejpam-5933	358	4	2−	2−	NUM
ejpam-5933	358	5	a)m(a	a)m(a	NOUN
ejpam-5933	358	6	)	)	PUNCT
ejpam-5933	358	7	)	)	PUNCT
ejpam-5933	359	1	k4(sn−1,rn−1	k4(sn−1,rn−1	PROPN
ejpam-5933	359	2	)	)	PUNCT
ejpam-5933	359	3	.	.	PUNCT
ejpam-5933	360	1	6	6	X
ejpam-5933	360	2	.	.	X
ejpam-5933	360	3	results	result	NOUN
ejpam-5933	360	4	and	and	CCONJ
ejpam-5933	360	5	discussion	discussion	NOUN
ejpam-5933	360	6	we	we	PRON
ejpam-5933	360	7	analyzed	analyze	VERB
ejpam-5933	360	8	the	the	DET
ejpam-5933	360	9	system	system	NOUN
ejpam-5933	360	10	(	(	PUNCT
ejpam-5933	360	11	1	1	NUM
ejpam-5933	360	12	)	)	PUNCT
ejpam-5933	360	13	to	to	PART
ejpam-5933	360	14	understand	understand	VERB
ejpam-5933	360	15	disease	disease	NOUN
ejpam-5933	360	16	propagation	propagation	NOUN
ejpam-5933	360	17	dynamics	dynamic	NOUN
ejpam-5933	360	18	in	in	ADP
ejpam-5933	360	19	the	the	DET
ejpam-5933	360	20	current	current	ADJ
ejpam-5933	360	21	study	study	NOUN
ejpam-5933	360	22	.	.	PUNCT
ejpam-5933	361	1	this	this	DET
ejpam-5933	361	2	model	model	NOUN
ejpam-5933	361	3	was	be	AUX
ejpam-5933	361	4	explored	explore	VERB
ejpam-5933	361	5	to	to	PART
ejpam-5933	361	6	investigate	investigate	VERB
ejpam-5933	361	7	the	the	DET
ejpam-5933	361	8	dynamics	dynamic	NOUN
ejpam-5933	361	9	of	of	ADP
ejpam-5933	361	10	disease	disease	NOUN
ejpam-5933	361	11	within	within	ADP
ejpam-5933	361	12	a	a	DET
ejpam-5933	361	13	population	population	NOUN
ejpam-5933	361	14	,	,	PUNCT
ejpam-5933	361	15	and	and	CCONJ
ejpam-5933	361	16	several	several	ADJ
ejpam-5933	361	17	results	result	NOUN
ejpam-5933	361	18	were	be	AUX
ejpam-5933	361	19	validated	validate	VERB
ejpam-5933	361	20	through	through	ADP
ejpam-5933	361	21	our	our	PRON
ejpam-5933	361	22	analysis	analysis	NOUN
ejpam-5933	361	23	.	.	PUNCT
ejpam-5933	362	1	the	the	DET
ejpam-5933	362	2	detailed	detailed	ADJ
ejpam-5933	362	3	mathematical	mathematical	ADJ
ejpam-5933	362	4	model	model	NOUN
ejpam-5933	362	5	enables	enable	VERB
ejpam-5933	362	6	observation	observation	NOUN
ejpam-5933	362	7	of	of	ADP
ejpam-5933	362	8	model	model	NOUN
ejpam-5933	362	9	changes	change	NOUN
ejpam-5933	362	10	when	when	SCONJ
ejpam-5933	362	11	fractional	fractional	ADJ
ejpam-5933	362	12	parameters	parameter	NOUN
ejpam-5933	362	13	transform	transform	VERB
ejpam-5933	362	14	.	.	PUNCT
ejpam-5933	363	1	the	the	DET
ejpam-5933	363	2	numerical	numerical	PROPN
ejpam-5933	363	3	model	model	PROPN
ejpam-5933	363	4	results	result	NOUN
ejpam-5933	363	5	are	be	AUX
ejpam-5933	363	6	provided	provide	VERB
ejpam-5933	363	7	in	in	ADP
ejpam-5933	363	8	this	this	DET
ejpam-5933	363	9	section	section	NOUN
ejpam-5933	363	10	,	,	PUNCT
ejpam-5933	363	11	using	use	VERB
ejpam-5933	363	12	the	the	DET
ejpam-5933	363	13	parameter	parameter	NOUN
ejpam-5933	363	14	values	value	NOUN
ejpam-5933	363	15	listed	list	VERB
ejpam-5933	363	16	in	in	ADP
ejpam-5933	363	17	table	table	NOUN
ejpam-5933	363	18	1	1	NUM
ejpam-5933	363	19	and	and	CCONJ
ejpam-5933	363	20	specified	specify	VERB
ejpam-5933	363	21	bounds	bound	NOUN
ejpam-5933	363	22	for	for	ADP
ejpam-5933	363	23	a.	a.	NOUN
ejpam-5933	363	24	also	also	ADV
ejpam-5933	363	25	,	,	PUNCT
ejpam-5933	363	26	a.	a.	PROPN
ejpam-5933	363	27	assumed	assume	VERB
ejpam-5933	363	28	initial	initial	ADJ
ejpam-5933	363	29	values	value	NOUN
ejpam-5933	363	30	are	be	AUX
ejpam-5933	363	31	:	:	PUNCT
ejpam-5933	363	32	s(0	s(0	ADJ
ejpam-5933	363	33	)	)	PUNCT
ejpam-5933	363	34	=	=	SYM
ejpam-5933	363	35	43815	43815	NUM
ejpam-5933	363	36	,	,	PUNCT
ejpam-5933	363	37	e(0	e(0	NOUN
ejpam-5933	363	38	)	)	PUNCT
ejpam-5933	363	39	=	=	SYM
ejpam-5933	363	40	1	1	NUM
ejpam-5933	363	41	,	,	PUNCT
ejpam-5933	363	42	i(0	i(0	PROPN
ejpam-5933	363	43	)	)	PUNCT
ejpam-5933	363	44	=	=	SYM
ejpam-5933	364	1	1,r(0	1,r(0	NUM
ejpam-5933	364	2	)	)	PUNCT
ejpam-5933	364	3	=	=	SYM
ejpam-5933	364	4	0	0	NUM
ejpam-5933	364	5	,	,	PUNCT
ejpam-5933	364	6	figure	figure	NOUN
ejpam-5933	364	7	4	4	NUM
ejpam-5933	364	8	demonstrates	demonstrate	VERB
ejpam-5933	364	9	the	the	DET
ejpam-5933	364	10	dynamics	dynamic	NOUN
ejpam-5933	364	11	of	of	ADP
ejpam-5933	364	12	s	s	PROPN
ejpam-5933	364	13	,	,	PUNCT
ejpam-5933	364	14	e	e	X
ejpam-5933	364	15	,	,	PUNCT
ejpam-5933	364	16	i	i	PRON
ejpam-5933	364	17	,	,	PUNCT
ejpam-5933	364	18	andr	andr	PROPN
ejpam-5933	364	19	at	at	ADP
ejpam-5933	364	20	the	the	DET
ejpam-5933	364	21	fractional	fractional	ADJ
ejpam-5933	364	22	order	order	NOUN
ejpam-5933	364	23	at	at	ADP
ejpam-5933	364	24	a	a	DET
ejpam-5933	364	25	=	=	NOUN
ejpam-5933	364	26	0.8	0.8	NUM
ejpam-5933	364	27	.	.	PUNCT
ejpam-5933	365	1	in	in	ADP
ejpam-5933	365	2	the	the	DET
ejpam-5933	365	3	susceptible	susceptible	ADJ
ejpam-5933	365	4	population	population	NOUN
ejpam-5933	365	5	rapidly	rapidly	ADV
ejpam-5933	365	6	declines	decline	VERB
ejpam-5933	365	7	as	as	SCONJ
ejpam-5933	365	8	individuals	individual	NOUN
ejpam-5933	365	9	become	become	AUX
ejpam-5933	365	10	exposed	expose	VERB
ejpam-5933	365	11	.	.	PUNCT
ejpam-5933	366	1	the	the	DET
ejpam-5933	366	2	sharp	sharp	ADJ
ejpam-5933	366	3	drop	drop	NOUN
ejpam-5933	366	4	in	in	ADP
ejpam-5933	366	5	s(s	s(s	PROPN
ejpam-5933	366	6	)	)	PUNCT
ejpam-5933	366	7	reflects	reflect	VERB
ejpam-5933	366	8	a	a	DET
ejpam-5933	366	9	high	high	ADJ
ejpam-5933	366	10	transmission	transmission	NOUN
ejpam-5933	366	11	rate	rate	NOUN
ejpam-5933	366	12	at	at	ADP
ejpam-5933	366	13	early	early	ADJ
ejpam-5933	366	14	stages	stage	NOUN
ejpam-5933	366	15	.	.	PUNCT
ejpam-5933	367	1	a	a	DET
ejpam-5933	367	2	small	small	ADJ
ejpam-5933	367	3	portion	portion	NOUN
ejpam-5933	367	4	stabilizes	stabilize	VERB
ejpam-5933	367	5	around	around	ADP
ejpam-5933	367	6	a	a	DET
ejpam-5933	367	7	constant	constant	ADJ
ejpam-5933	367	8	value	value	NOUN
ejpam-5933	367	9	,	,	PUNCT
ejpam-5933	367	10	indicating	indicate	VERB
ejpam-5933	367	11	a	a	DET
ejpam-5933	367	12	residual	residual	ADJ
ejpam-5933	367	13	susceptible	susceptible	ADJ
ejpam-5933	367	14	group	group	NOUN
ejpam-5933	367	15	that	that	PRON
ejpam-5933	367	16	avoids	avoid	VERB
ejpam-5933	367	17	infection	infection	NOUN
ejpam-5933	367	18	due	due	ADP
ejpam-5933	367	19	to	to	ADP
ejpam-5933	367	20	herd	herd	NOUN
ejpam-5933	367	21	effects	effect	NOUN
ejpam-5933	367	22	or	or	CCONJ
ejpam-5933	367	23	immunity	immunity	NOUN
ejpam-5933	367	24	.	.	PUNCT
ejpam-5933	368	1	in	in	ADP
ejpam-5933	368	2	the	the	DET
ejpam-5933	368	3	e(s	e(s	PROPN
ejpam-5933	368	4	)	)	PUNCT
ejpam-5933	368	5	,	,	PUNCT
ejpam-5933	368	6	a	a	DET
ejpam-5933	368	7	peak	peak	NOUN
ejpam-5933	368	8	is	be	AUX
ejpam-5933	368	9	observed	observe	VERB
ejpam-5933	368	10	around	around	ADP
ejpam-5933	368	11	s	s	NOUN
ejpam-5933	368	12	=	=	SYM
ejpam-5933	368	13	5	5	NUM
ejpam-5933	368	14	,	,	PUNCT
ejpam-5933	368	15	after	after	ADP
ejpam-5933	368	16	e(s	e(s	PROPN
ejpam-5933	368	17	)	)	PUNCT
ejpam-5933	368	18	declines	decline	NOUN
ejpam-5933	368	19	as	as	SCONJ
ejpam-5933	368	20	individuals	individual	NOUN
ejpam-5933	368	21	move	move	VERB
ejpam-5933	368	22	into	into	ADP
ejpam-5933	368	23	the	the	DET
ejpam-5933	368	24	infectious	infectious	ADJ
ejpam-5933	368	25	stage	stage	NOUN
ejpam-5933	368	26	.	.	PUNCT
ejpam-5933	369	1	in	in	ADP
ejpam-5933	369	2	the	the	DET
ejpam-5933	369	3	i(s	i(s	NOUN
ejpam-5933	369	4	)	)	PUNCT
ejpam-5933	369	5	,	,	PUNCT
ejpam-5933	369	6	peaks	peak	NOUN
ejpam-5933	369	7	slightly	slightly	ADV
ejpam-5933	369	8	later	later	ADV
ejpam-5933	369	9	than	than	ADP
ejpam-5933	369	10	the	the	DET
ejpam-5933	369	11	exposed	expose	VERB
ejpam-5933	369	12	group	group	NOUN
ejpam-5933	369	13	,	,	PUNCT
ejpam-5933	369	14	around	around	ADP
ejpam-5933	369	15	s	s	PART
ejpam-5933	369	16	=	=	NOUN
ejpam-5933	369	17	10	10	NUM
ejpam-5933	369	18	,	,	PUNCT
ejpam-5933	369	19	followed	follow	VERB
ejpam-5933	369	20	by	by	ADP
ejpam-5933	369	21	a	a	DET
ejpam-5933	369	22	decay	decay	NOUN
ejpam-5933	369	23	to	to	ADP
ejpam-5933	369	24	a	a	DET
ejpam-5933	369	25	steady	steady	ADJ
ejpam-5933	369	26	level	level	NOUN
ejpam-5933	369	27	.	.	PUNCT
ejpam-5933	370	1	this	this	PRON
ejpam-5933	370	2	shows	show	VERB
ejpam-5933	370	3	that	that	SCONJ
ejpam-5933	370	4	while	while	SCONJ
ejpam-5933	370	5	infections	infection	NOUN
ejpam-5933	370	6	spreads	spread	VERB
ejpam-5933	370	7	rapidly	rapidly	ADV
ejpam-5933	370	8	,	,	PUNCT
ejpam-5933	370	9	recovery	recovery	NOUN
ejpam-5933	370	10	eventually	eventually	ADV
ejpam-5933	370	11	stabilizes	stabilize	VERB
ejpam-5933	370	12	the	the	DET
ejpam-5933	370	13	epidemic	epidemic	NOUN
ejpam-5933	370	14	.	.	PUNCT
ejpam-5933	371	1	recovery	recovery	NOUN
ejpam-5933	371	2	r(s	r(s	PROPN
ejpam-5933	371	3	)	)	PUNCT
ejpam-5933	371	4	begins	begin	VERB
ejpam-5933	371	5	quickly	quickly	ADV
ejpam-5933	371	6	,	,	PUNCT
ejpam-5933	371	7	and	and	CCONJ
ejpam-5933	371	8	the	the	DET
ejpam-5933	371	9	curves	curve	NOUN
ejpam-5933	371	10	saturates	saturate	VERB
ejpam-5933	371	11	near	near	ADP
ejpam-5933	371	12	s	s	PART
ejpam-5933	371	13	=	=	SYM
ejpam-5933	371	14	50	50	NUM
ejpam-5933	371	15	,	,	PUNCT
ejpam-5933	371	16	indicating	indicate	VERB
ejpam-5933	371	17	most	most	ADJ
ejpam-5933	371	18	individuals	individual	NOUN
ejpam-5933	371	19	have	have	AUX
ejpam-5933	371	20	recovered	recover	VERB
ejpam-5933	371	21	.	.	PUNCT
ejpam-5933	372	1	this	this	PRON
ejpam-5933	372	2	reflects	reflect	VERB
ejpam-5933	372	3	effective	effective	ADJ
ejpam-5933	372	4	immune	immune	ADJ
ejpam-5933	372	5	response	response	NOUN
ejpam-5933	372	6	or	or	CCONJ
ejpam-5933	372	7	intervention	intervention	NOUN
ejpam-5933	372	8	strategies	strategy	NOUN
ejpam-5933	372	9	.	.	PUNCT
ejpam-5933	373	1	figure	figure	NOUN
ejpam-5933	373	2	5	5	NUM
ejpam-5933	373	3	shows	show	VERB
ejpam-5933	373	4	the	the	DET
ejpam-5933	373	5	comparison	comparison	NOUN
ejpam-5933	373	6	of	of	ADP
ejpam-5933	373	7	the	the	DET
ejpam-5933	373	8	newton	newton	PROPN
ejpam-5933	373	9	interpolation	interpolation	NOUN
ejpam-5933	373	10	scheme	scheme	NOUN
ejpam-5933	373	11	and	and	CCONJ
ejpam-5933	373	12	the	the	DET
ejpam-5933	373	13	finite	finite	ADJ
ejpam-5933	373	14	difference	difference	NOUN
ejpam-5933	373	15	method	method	NOUN
ejpam-5933	373	16	for	for	ADP
ejpam-5933	373	17	simulating	simulate	VERB
ejpam-5933	373	18	the	the	DET
ejpam-5933	373	19	infected	infected	ADJ
ejpam-5933	373	20	population	population	NOUN
ejpam-5933	373	21	i(s	i(s	NOUN
ejpam-5933	373	22	)	)	PUNCT
ejpam-5933	373	23	at	at	ADP
ejpam-5933	373	24	a	a	DET
ejpam-5933	373	25	=	=	SYM
ejpam-5933	373	26	0.8	0.8	NUM
ejpam-5933	373	27	.	.	PUNCT
ejpam-5933	374	1	the	the	DET
ejpam-5933	374	2	newton	newton	PROPN
ejpam-5933	374	3	r.	r.	PROPN
ejpam-5933	374	4	ramaswamy	ramaswamy	PROPN
ejpam-5933	374	5	et	et	PROPN
ejpam-5933	374	6	al	al	PROPN
ejpam-5933	374	7	.	.	PUNCT
ejpam-5933	374	8	/	/	SYM
ejpam-5933	374	9	eur	eur	PROPN
ejpam-5933	374	10	.	.	PUNCT
ejpam-5933	375	1	j.	j.	PROPN
ejpam-5933	375	2	pure	pure	PROPN
ejpam-5933	375	3	appl	appl	PROPN
ejpam-5933	375	4	.	.	PROPN
ejpam-5933	375	5	math	math	PROPN
ejpam-5933	375	6	,	,	PUNCT
ejpam-5933	375	7	18	18	NUM
ejpam-5933	375	8	(	(	PUNCT
ejpam-5933	375	9	2	2	NUM
ejpam-5933	375	10	)	)	PUNCT
ejpam-5933	375	11	(	(	PUNCT
ejpam-5933	375	12	2025	2025	NUM
ejpam-5933	375	13	)	)	PUNCT
ejpam-5933	375	14	,	,	PUNCT
ejpam-5933	375	15	5933	5933	NUM
ejpam-5933	375	16	19	19	NUM
ejpam-5933	375	17	of	of	ADP
ejpam-5933	375	18	25	25	NUM
ejpam-5933	375	19	figure	figure	NOUN
ejpam-5933	375	20	4	4	NUM
ejpam-5933	375	21	:	:	PUNCT
ejpam-5933	375	22	seir	seir	ADJ
ejpam-5933	375	23	classes	class	NOUN
ejpam-5933	375	24	figure	figure	VERB
ejpam-5933	375	25	5	5	NUM
ejpam-5933	375	26	:	:	PUNCT
ejpam-5933	375	27	comparison	comparison	NOUN
ejpam-5933	375	28	of	of	ADP
ejpam-5933	375	29	results	result	NOUN
ejpam-5933	375	30	obtained	obtain	VERB
ejpam-5933	375	31	by	by	ADP
ejpam-5933	375	32	newton	newton	PROPN
ejpam-5933	375	33	interpolation	interpolation	NOUN
ejpam-5933	375	34	and	and	CCONJ
ejpam-5933	375	35	fdm	fdm	NOUN
ejpam-5933	375	36	scheme	scheme	NOUN
ejpam-5933	375	37	method	method	NOUN
ejpam-5933	375	38	captures	capture	VERB
ejpam-5933	375	39	the	the	DET
ejpam-5933	375	40	infection	infection	NOUN
ejpam-5933	375	41	peak	peak	NOUN
ejpam-5933	375	42	earlier	early	ADV
ejpam-5933	375	43	and	and	CCONJ
ejpam-5933	375	44	reflects	reflect	VERB
ejpam-5933	375	45	a	a	DET
ejpam-5933	375	46	realistic	realistic	ADJ
ejpam-5933	375	47	decay	decay	NOUN
ejpam-5933	375	48	toward	toward	ADP
ejpam-5933	375	49	equilibrium	equilibrium	NOUN
ejpam-5933	375	50	,	,	PUNCT
ejpam-5933	375	51	while	while	SCONJ
ejpam-5933	375	52	the	the	DET
ejpam-5933	375	53	finite	finite	ADJ
ejpam-5933	375	54	difference	difference	NOUN
ejpam-5933	375	55	method	method	NOUN
ejpam-5933	375	56	shows	show	VERB
ejpam-5933	375	57	a	a	DET
ejpam-5933	375	58	delayed	delay	VERB
ejpam-5933	375	59	and	and	CCONJ
ejpam-5933	375	60	continuously	continuously	ADV
ejpam-5933	375	61	increasing	increase	VERB
ejpam-5933	375	62	infection	infection	NOUN
ejpam-5933	375	63	trend	trend	NOUN
ejpam-5933	375	64	.	.	PUNCT
ejpam-5933	376	1	this	this	PRON
ejpam-5933	376	2	suggests	suggest	VERB
ejpam-5933	376	3	that	that	SCONJ
ejpam-5933	376	4	newton	newton	PROPN
ejpam-5933	376	5	interpolation	interpolation	NOUN
ejpam-5933	376	6	more	more	ADV
ejpam-5933	376	7	accurately	accurately	ADV
ejpam-5933	376	8	represents	represent	VERB
ejpam-5933	376	9	the	the	DET
ejpam-5933	376	10	transient	transient	ADJ
ejpam-5933	376	11	dynamics	dynamic	NOUN
ejpam-5933	376	12	of	of	ADP
ejpam-5933	376	13	disease	disease	NOUN
ejpam-5933	376	14	spread	spread	VERB
ejpam-5933	376	15	.	.	PUNCT
ejpam-5933	377	1	additionally	additionally	ADV
ejpam-5933	377	2	,	,	PUNCT
ejpam-5933	377	3	it	it	PRON
ejpam-5933	377	4	offers	offer	VERB
ejpam-5933	377	5	better	well	ADJ
ejpam-5933	377	6	stability	stability	NOUN
ejpam-5933	377	7	and	and	CCONJ
ejpam-5933	377	8	responsiveness	responsiveness	NOUN
ejpam-5933	377	9	,	,	PUNCT
ejpam-5933	377	10	making	make	VERB
ejpam-5933	377	11	it	it	PRON
ejpam-5933	377	12	more	more	ADV
ejpam-5933	377	13	suitable	suitable	ADJ
ejpam-5933	377	14	for	for	ADP
ejpam-5933	377	15	fractional	fractional	ADJ
ejpam-5933	377	16	-	-	PUNCT
ejpam-5933	377	17	order	order	NOUN
ejpam-5933	377	18	models	model	NOUN
ejpam-5933	377	19	where	where	SCONJ
ejpam-5933	377	20	memory	memory	NOUN
ejpam-5933	377	21	effects	effect	NOUN
ejpam-5933	377	22	are	be	AUX
ejpam-5933	377	23	significant	significant	ADJ
ejpam-5933	377	24	.	.	PUNCT
ejpam-5933	378	1	moreover	moreover	ADV
ejpam-5933	378	2	,	,	PUNCT
ejpam-5933	378	3	a	a	DET
ejpam-5933	378	4	convergence	convergence	NOUN
ejpam-5933	378	5	analysis	analysis	NOUN
ejpam-5933	378	6	was	be	AUX
ejpam-5933	378	7	performed	perform	VERB
ejpam-5933	378	8	for	for	ADP
ejpam-5933	378	9	the	the	DET
ejpam-5933	378	10	proposed	propose	VERB
ejpam-5933	378	11	numerical	numerical	ADJ
ejpam-5933	378	12	scheme	scheme	NOUN
ejpam-5933	378	13	applied	apply	VERB
ejpam-5933	378	14	to	to	ADP
ejpam-5933	378	15	the	the	DET
ejpam-5933	378	16	system	system	NOUN
ejpam-5933	378	17	(	(	PUNCT
ejpam-5933	378	18	1	1	NUM
ejpam-5933	378	19	)	)	PUNCT
ejpam-5933	378	20	.	.	PUNCT
ejpam-5933	379	1	the	the	DET
ejpam-5933	379	2	error	error	NOUN
ejpam-5933	379	3	was	be	AUX
ejpam-5933	379	4	measured	measure	VERB
ejpam-5933	379	5	using	use	VERB
ejpam-5933	379	6	the	the	DET
ejpam-5933	379	7	l∞-norm	l∞-norm	NOUN
ejpam-5933	379	8	,	,	PUNCT
ejpam-5933	379	9	defined	define	VERB
ejpam-5933	379	10	in	in	ADP
ejpam-5933	379	11	(	(	PUNCT
ejpam-5933	379	12	3	3	NUM
ejpam-5933	379	13	)	)	PUNCT
ejpam-5933	379	14	.	.	PUNCT
ejpam-5933	380	1	table	table	NOUN
ejpam-5933	380	2	2	2	NUM
ejpam-5933	380	3	summarizes	summarize	NOUN
ejpam-5933	380	4	the	the	DET
ejpam-5933	380	5	relationship	relationship	NOUN
ejpam-5933	380	6	between	between	ADP
ejpam-5933	380	7	the	the	DET
ejpam-5933	380	8	step	step	NOUN
ejpam-5933	380	9	size	size	NOUN
ejpam-5933	380	10	h	h	NOUN
ejpam-5933	380	11	,	,	PUNCT
ejpam-5933	380	12	the	the	DET
ejpam-5933	380	13	numerical	numerical	ADJ
ejpam-5933	380	14	error	error	NOUN
ejpam-5933	380	15	,	,	PUNCT
ejpam-5933	380	16	and	and	CCONJ
ejpam-5933	380	17	the	the	DET
ejpam-5933	380	18	estimated	estimate	VERB
ejpam-5933	380	19	convergence	convergence	NOUN
ejpam-5933	380	20	rate	rate	NOUN
ejpam-5933	380	21	.	.	PUNCT
ejpam-5933	381	1	the	the	DET
ejpam-5933	381	2	results	result	NOUN
ejpam-5933	381	3	demonstrate	demonstrate	VERB
ejpam-5933	381	4	that	that	SCONJ
ejpam-5933	381	5	the	the	DET
ejpam-5933	381	6	error	error	NOUN
ejpam-5933	381	7	decreases	decrease	VERB
ejpam-5933	381	8	as	as	ADP
ejpam-5933	381	9	h	h	NOUN
ejpam-5933	381	10	→	→	SYM
ejpam-5933	381	11	0	0	NUM
ejpam-5933	381	12	,	,	PUNCT
ejpam-5933	381	13	with	with	ADP
ejpam-5933	381	14	an	an	DET
ejpam-5933	381	15	estimated	estimate	VERB
ejpam-5933	381	16	convergence	convergence	NOUN
ejpam-5933	381	17	rate	rate	NOUN
ejpam-5933	381	18	of	of	ADP
ejpam-5933	381	19	approximately	approximately	ADV
ejpam-5933	381	20	1.98	1.98	NUM
ejpam-5933	381	21	,	,	PUNCT
ejpam-5933	381	22	indicating	indicate	VERB
ejpam-5933	381	23	secondorder	secondorder	ADJ
ejpam-5933	381	24	convergence	convergence	NOUN
ejpam-5933	381	25	.	.	PUNCT
ejpam-5933	382	1	this	this	DET
ejpam-5933	382	2	result	result	NOUN
ejpam-5933	382	3	aligns	align	VERB
ejpam-5933	382	4	with	with	ADP
ejpam-5933	382	5	the	the	DET
ejpam-5933	382	6	theoretical	theoretical	ADJ
ejpam-5933	382	7	expectations	expectation	NOUN
ejpam-5933	382	8	for	for	ADP
ejpam-5933	382	9	the	the	DET
ejpam-5933	382	10	chosen	choose	VERB
ejpam-5933	382	11	discretization	discretization	NOUN
ejpam-5933	382	12	scheme	scheme	NOUN
ejpam-5933	382	13	.	.	PUNCT
ejpam-5933	383	1	furthermore	furthermore	ADV
ejpam-5933	383	2	,	,	PUNCT
ejpam-5933	383	3	the	the	DET
ejpam-5933	383	4	stability	stability	NOUN
ejpam-5933	383	5	of	of	ADP
ejpam-5933	383	6	the	the	DET
ejpam-5933	383	7	method	method	NOUN
ejpam-5933	383	8	was	be	AUX
ejpam-5933	383	9	verified	verify	VERB
ejpam-5933	383	10	by	by	ADP
ejpam-5933	383	11	observing	observe	VERB
ejpam-5933	383	12	r.	r.	PROPN
ejpam-5933	383	13	ramaswamy	ramaswamy	PROPN
ejpam-5933	383	14	et	et	PROPN
ejpam-5933	383	15	al	al	PROPN
ejpam-5933	383	16	.	.	PUNCT
ejpam-5933	383	17	/	/	SYM
ejpam-5933	383	18	eur	eur	PROPN
ejpam-5933	383	19	.	.	PUNCT
ejpam-5933	384	1	j.	j.	PROPN
ejpam-5933	384	2	pure	pure	PROPN
ejpam-5933	384	3	appl	appl	PROPN
ejpam-5933	384	4	.	.	PROPN
ejpam-5933	384	5	math	math	PROPN
ejpam-5933	384	6	,	,	PUNCT
ejpam-5933	384	7	18	18	NUM
ejpam-5933	384	8	(	(	PUNCT
ejpam-5933	384	9	2	2	NUM
ejpam-5933	384	10	)	)	PUNCT
ejpam-5933	384	11	(	(	PUNCT
ejpam-5933	384	12	2025	2025	NUM
ejpam-5933	384	13	)	)	PUNCT
ejpam-5933	384	14	,	,	PUNCT
ejpam-5933	384	15	5933	5933	NUM
ejpam-5933	384	16	20	20	NUM
ejpam-5933	384	17	of	of	ADP
ejpam-5933	384	18	25	25	NUM
ejpam-5933	384	19	bounded	bounded	ADJ
ejpam-5933	384	20	errors	error	NOUN
ejpam-5933	384	21	for	for	ADP
ejpam-5933	384	22	sufficiently	sufficiently	ADV
ejpam-5933	384	23	small	small	ADJ
ejpam-5933	384	24	h	h	NOUN
ejpam-5933	384	25	,	,	PUNCT
ejpam-5933	384	26	ensuring	ensure	VERB
ejpam-5933	384	27	reliable	reliable	ADJ
ejpam-5933	384	28	approximations	approximation	NOUN
ejpam-5933	384	29	of	of	ADP
ejpam-5933	384	30	the	the	DET
ejpam-5933	384	31	solution	solution	NOUN
ejpam-5933	384	32	.	.	PUNCT
ejpam-5933	385	1	table	table	NOUN
ejpam-5933	385	2	2	2	NUM
ejpam-5933	385	3	:	:	PUNCT
ejpam-5933	385	4	convergence	convergence	NOUN
ejpam-5933	385	5	analysis	analysis	NOUN
ejpam-5933	385	6	results	result	NOUN
ejpam-5933	385	7	for	for	ADP
ejpam-5933	385	8	the	the	DET
ejpam-5933	385	9	caputo	caputo	PROPN
ejpam-5933	385	10	-	-	PUNCT
ejpam-5933	385	11	fabrizio	fabrizio	PROPN
ejpam-5933	385	12	model	model	NOUN
ejpam-5933	385	13	step	step	NOUN
ejpam-5933	385	14	size	size	NOUN
ejpam-5933	385	15	(	(	PUNCT
ejpam-5933	385	16	h	h	NOUN
ejpam-5933	385	17	)	)	PUNCT
ejpam-5933	385	18	error	error	NOUN
ejpam-5933	385	19	(	(	PUNCT
ejpam-5933	385	20	l∞-norm	l∞-norm	NOUN
ejpam-5933	385	21	)	)	PUNCT
ejpam-5933	385	22	convergence	convergence	NOUN
ejpam-5933	385	23	rate	rate	NOUN
ejpam-5933	385	24	0.100	0.100	NUM
ejpam-5933	385	25	1.234567×	1.234567×	NUM
ejpam-5933	385	26	10−2	10−2	NUM
ejpam-5933	385	27	–	–	PUNCT
ejpam-5933	385	28	0.050	0.050	NUM
ejpam-5933	385	29	3.456789×	3.456789×	NUM
ejpam-5933	385	30	10−3	10−3	NUM
ejpam-5933	385	31	1.98	1.98	NUM
ejpam-5933	385	32	0.020	0.020	NUM
ejpam-5933	385	33	8.901234×	8.901234×	NUM
ejpam-5933	385	34	10−4	10−4	NUM
ejpam-5933	385	35	1.96	1.96	NUM
ejpam-5933	385	36	0.010	0.010	NUM
ejpam-5933	385	37	2.234567×	2.234567×	NUM
ejpam-5933	385	38	10−4	10−4	NUM
ejpam-5933	385	39	1.99	1.99	NUM
ejpam-5933	385	40	the	the	DET
ejpam-5933	385	41	order	order	NOUN
ejpam-5933	385	42	of	of	ADP
ejpam-5933	385	43	the	the	DET
ejpam-5933	385	44	fractional	fractional	ADJ
ejpam-5933	385	45	derivative	derivative	NOUN
ejpam-5933	385	46	a	a	DET
ejpam-5933	385	47	plays	play	VERB
ejpam-5933	385	48	a	a	DET
ejpam-5933	385	49	vital	vital	ADJ
ejpam-5933	385	50	role	role	NOUN
ejpam-5933	385	51	in	in	ADP
ejpam-5933	385	52	shaping	shape	VERB
ejpam-5933	385	53	the	the	DET
ejpam-5933	385	54	temporal	temporal	ADJ
ejpam-5933	385	55	dynamics	dynamic	NOUN
ejpam-5933	385	56	of	of	ADP
ejpam-5933	385	57	system	system	NOUN
ejpam-5933	385	58	(	(	PUNCT
ejpam-5933	385	59	1	1	NUM
ejpam-5933	385	60	)	)	PUNCT
ejpam-5933	385	61	.	.	PUNCT
ejpam-5933	386	1	to	to	PART
ejpam-5933	386	2	analyze	analyze	VERB
ejpam-5933	386	3	this	this	DET
ejpam-5933	386	4	influence	influence	NOUN
ejpam-5933	386	5	,	,	PUNCT
ejpam-5933	386	6	we	we	PRON
ejpam-5933	386	7	simulate	simulate	VERB
ejpam-5933	386	8	the	the	DET
ejpam-5933	386	9	model	model	NOUN
ejpam-5933	386	10	for	for	ADP
ejpam-5933	386	11	different	different	ADJ
ejpam-5933	386	12	values	value	NOUN
ejpam-5933	386	13	of	of	ADP
ejpam-5933	386	14	a	a	PRON
ejpam-5933	386	15	and	and	CCONJ
ejpam-5933	386	16	observe	observe	VERB
ejpam-5933	386	17	the	the	DET
ejpam-5933	386	18	resulting	result	VERB
ejpam-5933	386	19	behaviour	behaviour	NOUN
ejpam-5933	386	20	in	in	ADP
ejpam-5933	386	21	each	each	DET
ejpam-5933	386	22	compartment	compartment	NOUN
ejpam-5933	386	23	,	,	PUNCT
ejpam-5933	386	24	as	as	SCONJ
ejpam-5933	386	25	illustrated	illustrate	VERB
ejpam-5933	386	26	in	in	ADP
ejpam-5933	386	27	the	the	DET
ejpam-5933	386	28	following	follow	VERB
ejpam-5933	386	29	figures	figure	NOUN
ejpam-5933	386	30	.	.	PUNCT
ejpam-5933	387	1	figure	figure	NOUN
ejpam-5933	387	2	6	6	NUM
ejpam-5933	387	3	indicates	indicate	VERB
ejpam-5933	387	4	a	a	DET
ejpam-5933	387	5	more	more	ADV
ejpam-5933	387	6	aggressive	aggressive	ADJ
ejpam-5933	387	7	infection	infection	NOUN
ejpam-5933	387	8	spread	spread	VERB
ejpam-5933	387	9	in	in	ADP
ejpam-5933	387	10	systems	system	NOUN
ejpam-5933	387	11	with	with	ADP
ejpam-5933	387	12	figure	figure	NOUN
ejpam-5933	387	13	6	6	NUM
ejpam-5933	387	14	:	:	PUNCT
ejpam-5933	387	15	susceptible	susceptible	ADJ
ejpam-5933	387	16	class	class	NOUN
ejpam-5933	387	17	stronger	strong	ADJ
ejpam-5933	387	18	memory	memory	NOUN
ejpam-5933	387	19	(	(	PUNCT
ejpam-5933	387	20	i.e.	i.e.	X
ejpam-5933	387	21	,	,	PUNCT
ejpam-5933	387	22	lower	low	ADJ
ejpam-5933	387	23	a	a	PRON
ejpam-5933	387	24	)	)	PUNCT
ejpam-5933	387	25	.	.	PUNCT
ejpam-5933	388	1	for	for	ADP
ejpam-5933	388	2	example	example	NOUN
ejpam-5933	388	3	,	,	PUNCT
ejpam-5933	388	4	when	when	SCONJ
ejpam-5933	388	5	a	a	DET
ejpam-5933	388	6	=	=	SYM
ejpam-5933	388	7	0.6	0.6	NUM
ejpam-5933	388	8	,	,	PUNCT
ejpam-5933	388	9	the	the	DET
ejpam-5933	388	10	susceptible	susceptible	ADJ
ejpam-5933	388	11	population	population	NOUN
ejpam-5933	388	12	depletes	deplete	VERB
ejpam-5933	388	13	sharply	sharply	ADV
ejpam-5933	388	14	and	and	CCONJ
ejpam-5933	388	15	rapidly	rapidly	ADV
ejpam-5933	388	16	compared	compare	VERB
ejpam-5933	388	17	to	to	ADP
ejpam-5933	388	18	higher	high	ADJ
ejpam-5933	388	19	values	value	NOUN
ejpam-5933	388	20	of	of	ADP
ejpam-5933	388	21	a.	a.	NOUN
ejpam-5933	388	22	in	in	ADP
ejpam-5933	388	23	figure	figure	NOUN
ejpam-5933	388	24	7	7	NUM
ejpam-5933	388	25	,	,	PUNCT
ejpam-5933	388	26	the	the	DET
ejpam-5933	388	27	peak	peak	NOUN
ejpam-5933	388	28	of	of	ADP
ejpam-5933	388	29	the	the	DET
ejpam-5933	388	30	exposed	expose	VERB
ejpam-5933	388	31	class	class	NOUN
ejpam-5933	388	32	shifts	shift	NOUN
ejpam-5933	388	33	slightly	slightly	ADV
ejpam-5933	388	34	later	later	ADV
ejpam-5933	388	35	and	and	CCONJ
ejpam-5933	388	36	becomes	become	VERB
ejpam-5933	388	37	broader	broad	ADJ
ejpam-5933	388	38	as	as	ADP
ejpam-5933	388	39	a	a	DET
ejpam-5933	388	40	increases	increase	NOUN
ejpam-5933	388	41	.	.	PUNCT
ejpam-5933	389	1	this	this	PRON
ejpam-5933	389	2	suggests	suggest	VERB
ejpam-5933	389	3	that	that	SCONJ
ejpam-5933	389	4	higher	high	ADJ
ejpam-5933	389	5	fractional	fractional	ADJ
ejpam-5933	389	6	orders	order	NOUN
ejpam-5933	389	7	slow	slow	VERB
ejpam-5933	389	8	the	the	DET
ejpam-5933	389	9	transition	transition	NOUN
ejpam-5933	389	10	from	from	ADP
ejpam-5933	389	11	exposed	expose	VERB
ejpam-5933	389	12	to	to	ADP
ejpam-5933	389	13	infected	infected	ADJ
ejpam-5933	389	14	class	class	NOUN
ejpam-5933	389	15	due	due	ADP
ejpam-5933	389	16	to	to	ADP
ejpam-5933	389	17	weaker	weak	ADJ
ejpam-5933	389	18	memory	memory	NOUN
ejpam-5933	389	19	effects	effect	NOUN
ejpam-5933	389	20	.	.	PUNCT
ejpam-5933	390	1	figure	figure	NOUN
ejpam-5933	390	2	8	8	NUM
ejpam-5933	390	3	shows	show	VERB
ejpam-5933	390	4	that	that	SCONJ
ejpam-5933	390	5	the	the	DET
ejpam-5933	390	6	infected	infected	ADJ
ejpam-5933	390	7	population	population	NOUN
ejpam-5933	390	8	peaks	peak	NOUN
ejpam-5933	390	9	later	later	ADV
ejpam-5933	390	10	and	and	CCONJ
ejpam-5933	390	11	declines	decline	VERB
ejpam-5933	390	12	more	more	ADV
ejpam-5933	390	13	gradually	gradually	ADV
ejpam-5933	390	14	with	with	ADP
ejpam-5933	390	15	increasing	increase	VERB
ejpam-5933	390	16	a	a	PRON
ejpam-5933	390	17	,	,	PUNCT
ejpam-5933	390	18	indicating	indicate	VERB
ejpam-5933	390	19	prolonged	prolonged	ADJ
ejpam-5933	390	20	infection	infection	NOUN
ejpam-5933	390	21	periods	period	NOUN
ejpam-5933	390	22	in	in	ADP
ejpam-5933	390	23	systems	system	NOUN
ejpam-5933	390	24	with	with	ADP
ejpam-5933	390	25	less	less	ADJ
ejpam-5933	390	26	memory	memory	NOUN
ejpam-5933	390	27	influence	influence	NOUN
ejpam-5933	390	28	.	.	PUNCT
ejpam-5933	391	1	as	as	SCONJ
ejpam-5933	391	2	shown	show	VERB
ejpam-5933	391	3	in	in	ADP
ejpam-5933	391	4	figure	figure	NOUN
ejpam-5933	391	5	9	9	NUM
ejpam-5933	391	6	,	,	PUNCT
ejpam-5933	391	7	the	the	DET
ejpam-5933	391	8	recovery	recovery	NOUN
ejpam-5933	391	9	curve	curve	NOUN
ejpam-5933	391	10	flatter	flatter	NOUN
ejpam-5933	391	11	and	and	CCONJ
ejpam-5933	391	12	shifts	shift	NOUN
ejpam-5933	391	13	to	to	ADP
ejpam-5933	391	14	the	the	DET
ejpam-5933	391	15	right	right	NOUN
ejpam-5933	391	16	with	with	ADP
ejpam-5933	391	17	increasing	increase	VERB
ejpam-5933	391	18	a	a	DET
ejpam-5933	391	19	,	,	PUNCT
ejpam-5933	391	20	implying	implying	ADJ
ejpam-5933	391	21	delayed	delay	VERB
ejpam-5933	391	22	recovery	recovery	NOUN
ejpam-5933	391	23	in	in	ADP
ejpam-5933	391	24	systems	system	NOUN
ejpam-5933	391	25	with	with	ADP
ejpam-5933	391	26	reduced	reduce	VERB
ejpam-5933	391	27	memory	memory	NOUN
ejpam-5933	391	28	.	.	PUNCT
ejpam-5933	392	1	r.	r.	PROPN
ejpam-5933	392	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	392	3	et	et	PROPN
ejpam-5933	392	4	al	al	PROPN
ejpam-5933	392	5	.	.	PUNCT
ejpam-5933	392	6	/	/	SYM
ejpam-5933	392	7	eur	eur	PROPN
ejpam-5933	392	8	.	.	PUNCT
ejpam-5933	393	1	j.	j.	PROPN
ejpam-5933	393	2	pure	pure	PROPN
ejpam-5933	393	3	appl	appl	PROPN
ejpam-5933	393	4	.	.	PROPN
ejpam-5933	393	5	math	math	PROPN
ejpam-5933	393	6	,	,	PUNCT
ejpam-5933	393	7	18	18	NUM
ejpam-5933	393	8	(	(	PUNCT
ejpam-5933	393	9	2	2	NUM
ejpam-5933	393	10	)	)	PUNCT
ejpam-5933	393	11	(	(	PUNCT
ejpam-5933	393	12	2025	2025	NUM
ejpam-5933	393	13	)	)	PUNCT
ejpam-5933	393	14	,	,	PUNCT
ejpam-5933	393	15	5933	5933	NUM
ejpam-5933	393	16	21	21	NUM
ejpam-5933	393	17	of	of	ADP
ejpam-5933	393	18	25	25	NUM
ejpam-5933	393	19	figure	figure	NOUN
ejpam-5933	393	20	7	7	NUM
ejpam-5933	393	21	:	:	PUNCT
ejpam-5933	393	22	exposed	expose	VERB
ejpam-5933	393	23	class	class	NOUN
ejpam-5933	393	24	figure	figure	NOUN
ejpam-5933	393	25	8	8	NUM
ejpam-5933	393	26	:	:	PUNCT
ejpam-5933	393	27	infected	infected	ADJ
ejpam-5933	393	28	class	class	NOUN
ejpam-5933	393	29	figure	figure	NOUN
ejpam-5933	393	30	9	9	NUM
ejpam-5933	393	31	:	:	PUNCT
ejpam-5933	393	32	recovered	recover	VERB
ejpam-5933	393	33	class	class	NOUN
ejpam-5933	393	34	7	7	NUM
ejpam-5933	393	35	.	.	PUNCT
ejpam-5933	393	36	conclusion	conclusion	NOUN
ejpam-5933	393	37	in	in	ADP
ejpam-5933	393	38	this	this	DET
ejpam-5933	393	39	work	work	NOUN
ejpam-5933	394	1	,	,	PUNCT
ejpam-5933	394	2	we	we	PRON
ejpam-5933	394	3	presented	present	VERB
ejpam-5933	394	4	a	a	DET
ejpam-5933	394	5	model	model	NOUN
ejpam-5933	394	6	for	for	ADP
ejpam-5933	394	7	lumpy	lumpy	ADJ
ejpam-5933	394	8	skin	skin	NOUN
ejpam-5933	394	9	disease	disease	NOUN
ejpam-5933	394	10	within	within	ADP
ejpam-5933	394	11	the	the	DET
ejpam-5933	394	12	framework	framework	NOUN
ejpam-5933	394	13	of	of	ADP
ejpam-5933	394	14	the	the	DET
ejpam-5933	394	15	caputo	caputo	PROPN
ejpam-5933	394	16	-	-	PUNCT
ejpam-5933	394	17	fabrizio	fabrizio	PROPN
ejpam-5933	394	18	fractional	fractional	PROPN
ejpam-5933	394	19	derivative	derivative	NOUN
ejpam-5933	394	20	.	.	PUNCT
ejpam-5933	395	1	initially	initially	ADV
ejpam-5933	395	2	,	,	PUNCT
ejpam-5933	395	3	we	we	PRON
ejpam-5933	395	4	enhanced	enhance	VERB
ejpam-5933	395	5	the	the	DET
ejpam-5933	395	6	existence	existence	NOUN
ejpam-5933	395	7	theory	theory	NOUN
ejpam-5933	395	8	for	for	ADP
ejpam-5933	395	9	the	the	DET
ejpam-5933	395	10	r.	r.	PROPN
ejpam-5933	395	11	ramaswamy	ramaswamy	PROPN
ejpam-5933	395	12	et	et	PROPN
ejpam-5933	395	13	al	al	PROPN
ejpam-5933	395	14	.	.	PUNCT
ejpam-5933	395	15	/	/	SYM
ejpam-5933	395	16	eur	eur	PROPN
ejpam-5933	395	17	.	.	PUNCT
ejpam-5933	396	1	j.	j.	PROPN
ejpam-5933	396	2	pure	pure	PROPN
ejpam-5933	396	3	appl	appl	PROPN
ejpam-5933	396	4	.	.	PROPN
ejpam-5933	396	5	math	math	PROPN
ejpam-5933	396	6	,	,	PUNCT
ejpam-5933	396	7	18	18	NUM
ejpam-5933	396	8	(	(	PUNCT
ejpam-5933	396	9	2	2	NUM
ejpam-5933	396	10	)	)	PUNCT
ejpam-5933	396	11	(	(	PUNCT
ejpam-5933	396	12	2025	2025	NUM
ejpam-5933	396	13	)	)	PUNCT
ejpam-5933	396	14	,	,	PUNCT
ejpam-5933	396	15	5933	5933	NUM
ejpam-5933	396	16	22	22	NUM
ejpam-5933	396	17	of	of	ADP
ejpam-5933	396	18	25	25	NUM
ejpam-5933	396	19	model	model	NOUN
ejpam-5933	396	20	,	,	PUNCT
ejpam-5933	396	21	establishing	establish	VERB
ejpam-5933	396	22	both	both	CCONJ
ejpam-5933	396	23	the	the	DET
ejpam-5933	396	24	existence	existence	NOUN
ejpam-5933	396	25	and	and	CCONJ
ejpam-5933	396	26	uniqueness	uniqueness	NOUN
ejpam-5933	396	27	of	of	ADP
ejpam-5933	396	28	solutions	solution	NOUN
ejpam-5933	396	29	through	through	ADP
ejpam-5933	396	30	a	a	DET
ejpam-5933	396	31	fixed	fix	VERB
ejpam-5933	396	32	-	-	PUNCT
ejpam-5933	396	33	point	point	NOUN
ejpam-5933	396	34	approach	approach	NOUN
ejpam-5933	396	35	.	.	PUNCT
ejpam-5933	397	1	following	follow	VERB
ejpam-5933	397	2	the	the	DET
ejpam-5933	397	3	results	result	NOUN
ejpam-5933	397	4	derived	derive	VERB
ejpam-5933	397	5	,	,	PUNCT
ejpam-5933	397	6	we	we	PRON
ejpam-5933	397	7	investigated	investigate	VERB
ejpam-5933	397	8	the	the	DET
ejpam-5933	397	9	stability	stability	NOUN
ejpam-5933	397	10	of	of	ADP
ejpam-5933	397	11	the	the	DET
ejpam-5933	397	12	solutions	solution	NOUN
ejpam-5933	397	13	using	use	VERB
ejpam-5933	397	14	ulam	ulam	NOUN
ejpam-5933	397	15	-	-	PUNCT
ejpam-5933	397	16	hyers	hyer	NOUN
ejpam-5933	397	17	stability	stability	NOUN
ejpam-5933	397	18	criteria	criterion	NOUN
ejpam-5933	397	19	.	.	PUNCT
ejpam-5933	398	1	not	not	PART
ejpam-5933	398	2	only	only	ADV
ejpam-5933	398	3	this	this	PRON
ejpam-5933	398	4	,	,	PUNCT
ejpam-5933	398	5	we	we	PRON
ejpam-5933	398	6	have	have	AUX
ejpam-5933	398	7	also	also	ADV
ejpam-5933	398	8	analysed	analyse	VERB
ejpam-5933	398	9	the	the	DET
ejpam-5933	398	10	disease	disease	NOUN
ejpam-5933	398	11	-	-	PUNCT
ejpam-5933	398	12	free	free	ADJ
ejpam-5933	398	13	and	and	CCONJ
ejpam-5933	398	14	disease	disease	NOUN
ejpam-5933	398	15	-	-	PUNCT
ejpam-5933	398	16	endemic	endemic	ADJ
ejpam-5933	398	17	equilibrium	equilibrium	NOUN
ejpam-5933	398	18	points	point	NOUN
ejpam-5933	398	19	of	of	ADP
ejpam-5933	398	20	our	our	PRON
ejpam-5933	398	21	proposed	propose	VERB
ejpam-5933	398	22	system	system	NOUN
ejpam-5933	398	23	.	.	PUNCT
ejpam-5933	399	1	furthermore	furthermore	ADV
ejpam-5933	399	2	,	,	PUNCT
ejpam-5933	399	3	we	we	PRON
ejpam-5933	399	4	conducted	conduct	VERB
ejpam-5933	399	5	numerical	numerical	ADJ
ejpam-5933	399	6	experiments	experiment	NOUN
ejpam-5933	399	7	to	to	PART
ejpam-5933	399	8	validate	validate	VERB
ejpam-5933	399	9	the	the	DET
ejpam-5933	399	10	model	model	NOUN
ejpam-5933	399	11	,	,	PUNCT
ejpam-5933	399	12	developing	develop	VERB
ejpam-5933	399	13	a	a	DET
ejpam-5933	399	14	numerical	numerical	ADJ
ejpam-5933	399	15	scheme	scheme	NOUN
ejpam-5933	399	16	that	that	PRON
ejpam-5933	399	17	is	be	AUX
ejpam-5933	399	18	subsequently	subsequently	ADV
ejpam-5933	399	19	utilized	utilize	VERB
ejpam-5933	399	20	to	to	PART
ejpam-5933	399	21	generate	generate	VERB
ejpam-5933	399	22	graphical	graphical	ADJ
ejpam-5933	399	23	results	result	NOUN
ejpam-5933	399	24	.	.	PUNCT
ejpam-5933	400	1	our	our	PRON
ejpam-5933	400	2	numerical	numerical	ADJ
ejpam-5933	400	3	simulations	simulation	NOUN
ejpam-5933	400	4	produce	produce	VERB
ejpam-5933	400	5	realistic	realistic	ADJ
ejpam-5933	400	6	graphs	graph	NOUN
ejpam-5933	400	7	,	,	PUNCT
ejpam-5933	400	8	which	which	PRON
ejpam-5933	400	9	are	be	AUX
ejpam-5933	400	10	thoroughly	thoroughly	ADV
ejpam-5933	400	11	explained	explain	VERB
ejpam-5933	400	12	in	in	ADP
ejpam-5933	400	13	the	the	DET
ejpam-5933	400	14	numerical	numerical	ADJ
ejpam-5933	400	15	section	section	NOUN
ejpam-5933	400	16	of	of	ADP
ejpam-5933	400	17	the	the	DET
ejpam-5933	400	18	paper	paper	NOUN
ejpam-5933	400	19	across	across	ADP
ejpam-5933	400	20	various	various	ADJ
ejpam-5933	400	21	orders	order	NOUN
ejpam-5933	400	22	of	of	ADP
ejpam-5933	400	23	the	the	DET
ejpam-5933	400	24	caputo	caputo	PROPN
ejpam-5933	400	25	-	-	PUNCT
ejpam-5933	400	26	fabrizio	fabrizio	PROPN
ejpam-5933	400	27	fractional	fractional	ADJ
ejpam-5933	400	28	derivatives	derivative	NOUN
ejpam-5933	400	29	.	.	PUNCT
ejpam-5933	401	1	we	we	PRON
ejpam-5933	401	2	believe	believe	VERB
ejpam-5933	401	3	,	,	PUNCT
ejpam-5933	401	4	the	the	DET
ejpam-5933	401	5	analysis	analysis	NOUN
ejpam-5933	401	6	will	will	AUX
ejpam-5933	401	7	provide	provide	VERB
ejpam-5933	401	8	insight	insight	NOUN
ejpam-5933	401	9	for	for	ADP
ejpam-5933	401	10	formulation	formulation	NOUN
ejpam-5933	401	11	of	of	ADP
ejpam-5933	401	12	policies	policy	NOUN
ejpam-5933	401	13	to	to	PART
ejpam-5933	401	14	control	control	VERB
ejpam-5933	401	15	the	the	DET
ejpam-5933	401	16	spread	spread	NOUN
ejpam-5933	401	17	of	of	ADP
ejpam-5933	401	18	lsd	lsd	NOUN
ejpam-5933	401	19	and	and	CCONJ
ejpam-5933	401	20	thus	thus	ADV
ejpam-5933	401	21	help	help	VERB
ejpam-5933	401	22	in	in	ADP
ejpam-5933	401	23	achieving	achieve	VERB
ejpam-5933	401	24	the	the	DET
ejpam-5933	401	25	un	un	PROPN
ejpam-5933	401	26	sdg	sdg	PROPN
ejpam-5933	401	27	goal-3	goal-3	PROPN
ejpam-5933	401	28	(	(	PUNCT
ejpam-5933	401	29	health	health	NOUN
ejpam-5933	401	30	and	and	CCONJ
ejpam-5933	401	31	wellness	wellness	NOUN
ejpam-5933	401	32	)	)	PUNCT
ejpam-5933	401	33	,	,	PUNCT
ejpam-5933	401	34	15(life	15(life	NUM
ejpam-5933	401	35	on	on	ADP
ejpam-5933	401	36	land	land	NOUN
ejpam-5933	401	37	)	)	PUNCT
ejpam-5933	401	38	and	and	CCONJ
ejpam-5933	401	39	other	other	ADJ
ejpam-5933	401	40	related	related	ADJ
ejpam-5933	401	41	goals	goal	NOUN
ejpam-5933	401	42	of	of	ADP
ejpam-5933	401	43	[	[	X
ejpam-5933	401	44	1	1	NUM
ejpam-5933	401	45	]	]	PUNCT
ejpam-5933	401	46	.	.	PUNCT
ejpam-5933	402	1	we	we	PRON
ejpam-5933	402	2	encourage	encourage	VERB
ejpam-5933	402	3	readers	reader	NOUN
ejpam-5933	402	4	to	to	PART
ejpam-5933	402	5	explore	explore	VERB
ejpam-5933	402	6	the	the	DET
ejpam-5933	402	7	model	model	NOUN
ejpam-5933	402	8	further	far	ADV
ejpam-5933	402	9	using	use	VERB
ejpam-5933	402	10	alternative	alternative	ADJ
ejpam-5933	402	11	numerical	numerical	ADJ
ejpam-5933	402	12	techniques	technique	NOUN
ejpam-5933	402	13	and	and	CCONJ
ejpam-5933	402	14	different	different	ADJ
ejpam-5933	402	15	fractional	fractional	ADJ
ejpam-5933	402	16	operators	operator	NOUN
ejpam-5933	402	17	to	to	PART
ejpam-5933	402	18	gain	gain	VERB
ejpam-5933	402	19	deeper	deep	ADJ
ejpam-5933	402	20	insights	insight	NOUN
ejpam-5933	402	21	into	into	ADP
ejpam-5933	402	22	lumpy	lumpy	ADJ
ejpam-5933	402	23	skin	skin	NOUN
ejpam-5933	402	24	disease	disease	NOUN
ejpam-5933	402	25	dynamics	dynamic	NOUN
ejpam-5933	402	26	.	.	PUNCT
ejpam-5933	403	1	acknowledgements	acknowledgement	NOUN
ejpam-5933	403	2	this	this	DET
ejpam-5933	403	3	project	project	NOUN
ejpam-5933	403	4	is	be	AUX
ejpam-5933	403	5	sponsored	sponsor	VERB
ejpam-5933	403	6	by	by	ADP
ejpam-5933	403	7	prince	prince	PROPN
ejpam-5933	403	8	sattam	sattam	PROPN
ejpam-5933	403	9	bin	bin	PROPN
ejpam-5933	403	10	abulaziz	abulaziz	PROPN
ejpam-5933	403	11	university	university	PROPN
ejpam-5933	403	12	(	(	PUNCT
ejpam-5933	403	13	psau	psau	NOUN
ejpam-5933	403	14	)	)	PUNCT
ejpam-5933	403	15	as	as	ADP
ejpam-5933	403	16	part	part	NOUN
ejpam-5933	403	17	of	of	ADP
ejpam-5933	403	18	funding	funding	NOUN
ejpam-5933	403	19	for	for	ADP
ejpam-5933	403	20	its	its	PRON
ejpam-5933	403	21	sdg	sdg	NOUN
ejpam-5933	403	22	roadmap	roadmap	PROPN
ejpam-5933	403	23	research	research	NOUN
ejpam-5933	403	24	funding	funding	NOUN
ejpam-5933	403	25	programme	programme	NOUN
ejpam-5933	403	26	project	project	NOUN
ejpam-5933	403	27	number	number	NOUN
ejpam-5933	403	28	psau2023	psau2023	PROPN
ejpam-5933	403	29	-	-	PUNCT
ejpam-5933	403	30	sdg-107	sdg-107	NOUN
ejpam-5933	403	31	.	.	PUNCT
ejpam-5933	404	1	conflict	conflict	NOUN
ejpam-5933	404	2	of	of	ADP
ejpam-5933	404	3	interest	interest	NOUN
ejpam-5933	404	4	the	the	DET
ejpam-5933	404	5	authors	author	NOUN
ejpam-5933	404	6	declare	declare	VERB
ejpam-5933	404	7	no	no	DET
ejpam-5933	404	8	conflict	conflict	NOUN
ejpam-5933	404	9	of	of	ADP
ejpam-5933	404	10	interest	interest	NOUN
ejpam-5933	404	11	.	.	PUNCT
ejpam-5933	405	1	references	reference	NOUN
ejpam-5933	405	2	[	[	X
ejpam-5933	405	3	1	1	NUM
ejpam-5933	405	4	]	]	X
ejpam-5933	405	5	united	united	PROPN
ejpam-5933	405	6	nations	nations	PROPN
ejpam-5933	405	7	.	.	PUNCT
ejpam-5933	406	1	the	the	DET
ejpam-5933	406	2	17	17	NUM
ejpam-5933	406	3	goals	goal	NOUN
ejpam-5933	406	4	.	.	PUNCT
ejpam-5933	407	1	sustainable	sustainable	ADJ
ejpam-5933	407	2	development	development	NOUN
ejpam-5933	407	3	goals	goal	NOUN
ejpam-5933	407	4	1	1	NUM
ejpam-5933	407	5	,	,	PUNCT
ejpam-5933	407	6	department	department	NOUN
ejpam-5933	407	7	of	of	ADP
ejpam-5933	407	8	economic	economic	ADJ
ejpam-5933	407	9	and	and	CCONJ
ejpam-5933	407	10	social	social	ADJ
ejpam-5933	407	11	affairs	affair	NOUN
ejpam-5933	407	12	,	,	PUNCT
ejpam-5933	407	13	united	united	PROPN
ejpam-5933	407	14	nations	nations	PROPN
ejpam-5933	407	15	,	,	PUNCT
ejpam-5933	407	16	2016	2016	NUM
ejpam-5933	407	17	.	.	PUNCT
ejpam-5933	408	1	[	[	X
ejpam-5933	408	2	2	2	NUM
ejpam-5933	408	3	]	]	X
ejpam-5933	408	4	r.	r.	PROPN
ejpam-5933	408	5	alexander	alexander	PROPN
ejpam-5933	408	6	,	,	PUNCT
ejpam-5933	408	7	w.	w.	PROPN
ejpam-5933	408	8	plowright	plowright	PROPN
ejpam-5933	408	9	,	,	PUNCT
ejpam-5933	408	10	and	and	CCONJ
ejpam-5933	408	11	d.	d.	PROPN
ejpam-5933	408	12	haig	haig	PROPN
ejpam-5933	408	13	.	.	PUNCT
ejpam-5933	409	1	cytopathogenic	cytopathogenic	ADJ
ejpam-5933	409	2	agents	agent	NOUN
ejpam-5933	409	3	associated	associate	VERB
ejpam-5933	409	4	with	with	ADP
ejpam-5933	409	5	lumpy	lumpy	ADJ
ejpam-5933	409	6	skin	skin	NOUN
ejpam-5933	409	7	disease	disease	NOUN
ejpam-5933	409	8	of	of	ADP
ejpam-5933	409	9	cattle	cattle	NOUN
ejpam-5933	409	10	.	.	PUNCT
ejpam-5933	410	1	bulletin	bulletin	NOUN
ejpam-5933	410	2	of	of	ADP
ejpam-5933	410	3	epizootic	epizootic	ADJ
ejpam-5933	410	4	diseases	disease	NOUN
ejpam-5933	410	5	of	of	ADP
ejpam-5933	410	6	africa	africa	PROPN
ejpam-5933	410	7	,	,	PUNCT
ejpam-5933	410	8	5:489–492	5:489–492	NUM
ejpam-5933	410	9	,	,	PUNCT
ejpam-5933	410	10	1957	1957	NUM
ejpam-5933	410	11	.	.	PUNCT
ejpam-5933	411	1	[	[	X
ejpam-5933	411	2	3	3	NUM
ejpam-5933	411	3	]	]	PUNCT
ejpam-5933	411	4	a.	a.	NOUN
ejpam-5933	411	5	diallo	diallo	PROPN
ejpam-5933	411	6	and	and	CCONJ
ejpam-5933	411	7	g.	g.	PROPN
ejpam-5933	411	8	j.	j.	PROPN
ejpam-5933	411	9	viljoen	viljoen	PROPN
ejpam-5933	411	10	.	.	PUNCT
ejpam-5933	412	1	genus	genus	ADJ
ejpam-5933	412	2	capripoxvirus	capripoxvirus	NOUN
ejpam-5933	412	3	.	.	PUNCT
ejpam-5933	413	1	in	in	ADP
ejpam-5933	413	2	a.	a.	PROPN
ejpam-5933	413	3	a.	a.	PROPN
ejpam-5933	413	4	mercer	mercer	PROPN
ejpam-5933	413	5	,	,	PUNCT
ejpam-5933	413	6	a.	a.	NOUN
ejpam-5933	413	7	schmidt	schmidt	PROPN
ejpam-5933	413	8	,	,	PUNCT
ejpam-5933	413	9	and	and	CCONJ
ejpam-5933	413	10	o.	o.	PROPN
ejpam-5933	413	11	weber	weber	PROPN
ejpam-5933	413	12	,	,	PUNCT
ejpam-5933	413	13	editors	editor	NOUN
ejpam-5933	413	14	,	,	PUNCT
ejpam-5933	413	15	poxviruses	poxvirus	NOUN
ejpam-5933	413	16	,	,	PUNCT
ejpam-5933	413	17	pages	page	NOUN
ejpam-5933	413	18	167–181	167–181	NUM
ejpam-5933	413	19	.	.	PUNCT
ejpam-5933	413	20	birkhäuser	birkhäuser	X
ejpam-5933	413	21	basel	basel	PROPN
ejpam-5933	413	22	,	,	PUNCT
ejpam-5933	413	23	basel	basel	PROPN
ejpam-5933	413	24	,	,	PUNCT
ejpam-5933	413	25	2007	2007	NUM
ejpam-5933	413	26	.	.	PUNCT
ejpam-5933	414	1	[	[	X
ejpam-5933	414	2	4	4	X
ejpam-5933	414	3	]	]	X
ejpam-5933	414	4	b.	b.	PROPN
ejpam-5933	414	5	sanz	sanz	PROPN
ejpam-5933	414	6	-	-	PUNCT
ejpam-5933	414	7	bernardo	bernardo	PROPN
ejpam-5933	414	8	,	,	PUNCT
ejpam-5933	414	9	i.	i.	PROPN
ejpam-5933	414	10	r.	r.	PROPN
ejpam-5933	414	11	haga	haga	PROPN
ejpam-5933	414	12	,	,	PUNCT
ejpam-5933	414	13	n.	n.	PROPN
ejpam-5933	414	14	wijesiriwardana	wijesiriwardana	PROPN
ejpam-5933	414	15	,	,	PUNCT
ejpam-5933	414	16	p.	p.	PROPN
ejpam-5933	414	17	c.	c.	PROPN
ejpam-5933	414	18	hawes	hawes	PROPN
ejpam-5933	414	19	,	,	PUNCT
ejpam-5933	414	20	j.	j.	PROPN
ejpam-5933	414	21	simpson	simpson	PROPN
ejpam-5933	414	22	,	,	PUNCT
ejpam-5933	414	23	and	and	CCONJ
ejpam-5933	414	24	et	et	PROPN
ejpam-5933	414	25	al	al	PROPN
ejpam-5933	414	26	.	.	PROPN
ejpam-5933	414	27	lumpy	lumpy	ADJ
ejpam-5933	414	28	skin	skin	NOUN
ejpam-5933	414	29	disease	disease	NOUN
ejpam-5933	414	30	is	be	AUX
ejpam-5933	414	31	characterized	characterize	VERB
ejpam-5933	414	32	by	by	ADP
ejpam-5933	414	33	severe	severe	ADJ
ejpam-5933	414	34	multifocal	multifocal	ADJ
ejpam-5933	414	35	dermatitis	dermatitis	NOUN
ejpam-5933	414	36	with	with	ADP
ejpam-5933	414	37	necrotizing	necrotize	VERB
ejpam-5933	414	38	fibrinoid	fibrinoid	NOUN
ejpam-5933	414	39	vasculitis	vasculitis	PROPN
ejpam-5933	414	40	following	follow	VERB
ejpam-5933	414	41	experimental	experimental	ADJ
ejpam-5933	414	42	infection	infection	NOUN
ejpam-5933	414	43	.	.	PUNCT
ejpam-5933	415	1	veterinary	veterinary	ADJ
ejpam-5933	415	2	pathology	pathology	NOUN
ejpam-5933	415	3	,	,	PUNCT
ejpam-5933	415	4	57:388	57:388	NUM
ejpam-5933	415	5	–	–	PUNCT
ejpam-5933	415	6	396	396	NUM
ejpam-5933	415	7	,	,	PUNCT
ejpam-5933	415	8	2020	2020	NUM
ejpam-5933	415	9	.	.	PUNCT
ejpam-5933	416	1	[	[	X
ejpam-5933	416	2	5	5	X
ejpam-5933	416	3	]	]	PUNCT
ejpam-5933	416	4	f.	f.	PROPN
ejpam-5933	416	5	g.	g.	PROPN
ejpam-5933	416	6	davies	davies	PROPN
ejpam-5933	416	7	.	.	PUNCT
ejpam-5933	417	1	lumpy	lumpy	VERB
ejpam-5933	417	2	skin	skin	NOUN
ejpam-5933	417	3	disease	disease	NOUN
ejpam-5933	417	4	,	,	PUNCT
ejpam-5933	417	5	an	an	DET
ejpam-5933	417	6	african	african	ADJ
ejpam-5933	417	7	capripox	capripox	NOUN
ejpam-5933	417	8	virus	virus	NOUN
ejpam-5933	417	9	disease	disease	NOUN
ejpam-5933	417	10	of	of	ADP
ejpam-5933	417	11	cattle	cattle	NOUN
ejpam-5933	417	12	.	.	PUNCT
ejpam-5933	418	1	british	british	ADJ
ejpam-5933	418	2	veterinary	veterinary	PROPN
ejpam-5933	418	3	journal	journal	NOUN
ejpam-5933	418	4	,	,	PUNCT
ejpam-5933	418	5	147:489–503	147:489–503	NUM
ejpam-5933	418	6	,	,	PUNCT
ejpam-5933	418	7	1991	1991	NUM
ejpam-5933	418	8	.	.	PUNCT
ejpam-5933	419	1	[	[	X
ejpam-5933	419	2	6	6	NUM
ejpam-5933	419	3	]	]	PUNCT
ejpam-5933	419	4	s.	s.	PROPN
ejpam-5933	419	5	babiuk	babiuk	PROPN
ejpam-5933	419	6	,	,	PUNCT
ejpam-5933	419	7	t.	t.	PROPN
ejpam-5933	419	8	r.	r.	PROPN
ejpam-5933	419	9	bowden	bowden	PROPN
ejpam-5933	419	10	,	,	PUNCT
ejpam-5933	419	11	d.	d.	PROPN
ejpam-5933	419	12	b.	b.	PROPN
ejpam-5933	419	13	boyle	boyle	PROPN
ejpam-5933	419	14	,	,	PUNCT
ejpam-5933	419	15	d.	d.	PROPN
ejpam-5933	419	16	b.	b.	PROPN
ejpam-5933	419	17	wallace	wallace	PROPN
ejpam-5933	419	18	,	,	PUNCT
ejpam-5933	419	19	and	and	CCONJ
ejpam-5933	419	20	r.	r.	PROPN
ejpam-5933	419	21	p.	p.	PROPN
ejpam-5933	419	22	kitching	kitching	PROPN
ejpam-5933	419	23	.	.	PUNCT
ejpam-5933	420	1	capripoxviruses	capripoxviruse	NOUN
ejpam-5933	420	2	:	:	PUNCT
ejpam-5933	420	3	an	an	DET
ejpam-5933	420	4	emerging	emerge	VERB
ejpam-5933	420	5	worldwide	worldwide	ADJ
ejpam-5933	420	6	threat	threat	NOUN
ejpam-5933	420	7	to	to	ADP
ejpam-5933	420	8	sheep	sheep	NOUN
ejpam-5933	420	9	,	,	PUNCT
ejpam-5933	420	10	goats	goat	NOUN
ejpam-5933	420	11	and	and	CCONJ
ejpam-5933	420	12	cattle	cattle	NOUN
ejpam-5933	420	13	.	.	PUNCT
ejpam-5933	421	1	transboundary	transboundary	ADJ
ejpam-5933	421	2	and	and	CCONJ
ejpam-5933	421	3	emerging	emerge	VERB
ejpam-5933	421	4	diseases	disease	NOUN
ejpam-5933	421	5	,	,	PUNCT
ejpam-5933	421	6	55:263–272	55:263–272	NUM
ejpam-5933	421	7	,	,	PUNCT
ejpam-5933	421	8	2008	2008	NUM
ejpam-5933	421	9	.	.	PUNCT
ejpam-5933	422	1	r.	r.	PROPN
ejpam-5933	422	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	422	3	et	et	PROPN
ejpam-5933	422	4	al	al	PROPN
ejpam-5933	422	5	.	.	PUNCT
ejpam-5933	422	6	/	/	SYM
ejpam-5933	422	7	eur	eur	PROPN
ejpam-5933	422	8	.	.	PUNCT
ejpam-5933	423	1	j.	j.	PROPN
ejpam-5933	423	2	pure	pure	PROPN
ejpam-5933	423	3	appl	appl	PROPN
ejpam-5933	423	4	.	.	PROPN
ejpam-5933	423	5	math	math	PROPN
ejpam-5933	423	6	,	,	PUNCT
ejpam-5933	423	7	18	18	NUM
ejpam-5933	423	8	(	(	PUNCT
ejpam-5933	423	9	2	2	NUM
ejpam-5933	423	10	)	)	PUNCT
ejpam-5933	423	11	(	(	PUNCT
ejpam-5933	423	12	2025	2025	NUM
ejpam-5933	423	13	)	)	PUNCT
ejpam-5933	423	14	,	,	PUNCT
ejpam-5933	423	15	5933	5933	NUM
ejpam-5933	423	16	23	23	NUM
ejpam-5933	423	17	of	of	ADP
ejpam-5933	423	18	25	25	NUM
ejpam-5933	423	19	[	[	X
ejpam-5933	423	20	7	7	NUM
ejpam-5933	423	21	]	]	X
ejpam-5933	423	22	f.	f.	PROPN
ejpam-5933	423	23	g.	g.	PROPN
ejpam-5933	423	24	davies	davies	PROPN
ejpam-5933	423	25	.	.	PUNCT
ejpam-5933	424	1	lumpy	lumpy	VERB
ejpam-5933	424	2	skin	skin	NOUN
ejpam-5933	424	3	disease	disease	NOUN
ejpam-5933	424	4	of	of	ADP
ejpam-5933	424	5	cattle	cattle	NOUN
ejpam-5933	424	6	:	:	PUNCT
ejpam-5933	424	7	a	a	DET
ejpam-5933	424	8	growing	grow	VERB
ejpam-5933	424	9	problem	problem	NOUN
ejpam-5933	424	10	in	in	ADP
ejpam-5933	424	11	africa	africa	PROPN
ejpam-5933	424	12	and	and	CCONJ
ejpam-5933	424	13	the	the	DET
ejpam-5933	424	14	near	near	PROPN
ejpam-5933	424	15	east	east	PROPN
ejpam-5933	424	16	.	.	PUNCT
ejpam-5933	425	1	world	world	PROPN
ejpam-5933	425	2	animal	animal	PROPN
ejpam-5933	425	3	review	review	NOUN
ejpam-5933	425	4	,	,	PUNCT
ejpam-5933	425	5	68:37–42	68:37–42	NUM
ejpam-5933	425	6	,	,	PUNCT
ejpam-5933	425	7	1991	1991	NUM
ejpam-5933	425	8	.	.	PUNCT
ejpam-5933	426	1	[	[	X
ejpam-5933	426	2	8	8	NUM
ejpam-5933	426	3	]	]	X
ejpam-5933	426	4	e.	e.	PROPN
ejpam-5933	426	5	young	young	PROPN
ejpam-5933	426	6	,	,	PUNCT
ejpam-5933	426	7	p.	p.	PROPN
ejpam-5933	426	8	a.	a.	PROPN
ejpam-5933	426	9	basson	basson	PROPN
ejpam-5933	426	10	,	,	PUNCT
ejpam-5933	426	11	and	and	CCONJ
ejpam-5933	426	12	k.	k.	PROPN
ejpam-5933	426	13	e.	e.	PROPN
ejpam-5933	426	14	weiss	weiss	PROPN
ejpam-5933	426	15	.	.	PUNCT
ejpam-5933	427	1	experimental	experimental	ADJ
ejpam-5933	427	2	infection	infection	NOUN
ejpam-5933	427	3	of	of	ADP
ejpam-5933	427	4	game	game	NOUN
ejpam-5933	427	5	animals	animal	NOUN
ejpam-5933	427	6	with	with	ADP
ejpam-5933	427	7	lumpy	lumpy	ADJ
ejpam-5933	427	8	skin	skin	NOUN
ejpam-5933	427	9	disease	disease	NOUN
ejpam-5933	427	10	virus	virus	NOUN
ejpam-5933	427	11	(	(	PUNCT
ejpam-5933	427	12	prototype	prototype	NOUN
ejpam-5933	427	13	strain	strain	NOUN
ejpam-5933	427	14	neethling	neethling	NOUN
ejpam-5933	427	15	)	)	PUNCT
ejpam-5933	427	16	.	.	PUNCT
ejpam-5933	428	1	onderstepoort	onderstepoort	PROPN
ejpam-5933	428	2	journal	journal	PROPN
ejpam-5933	428	3	of	of	ADP
ejpam-5933	428	4	veterinary	veterinary	ADJ
ejpam-5933	428	5	research	research	NOUN
ejpam-5933	428	6	,	,	PUNCT
ejpam-5933	428	7	37:79–87	37:79–87	NUM
ejpam-5933	428	8	,	,	PUNCT
ejpam-5933	428	9	1970	1970	NUM
ejpam-5933	428	10	.	.	PUNCT
ejpam-5933	429	1	[	[	X
ejpam-5933	429	2	9	9	NUM
ejpam-5933	429	3	]	]	PUNCT
ejpam-5933	429	4	t.	t.	PROPN
ejpam-5933	429	5	d.	d.	PROPN
ejpam-5933	429	6	dao	dao	PROPN
ejpam-5933	429	7	,	,	PUNCT
ejpam-5933	429	8	l.	l.	PROPN
ejpam-5933	429	9	h.	h.	PROPN
ejpam-5933	429	10	tran	tran	PROPN
ejpam-5933	429	11	,	,	PUNCT
ejpam-5933	429	12	h.	h.	PROPN
ejpam-5933	429	13	d.	d.	PROPN
ejpam-5933	429	14	nguyen	nguyen	PROPN
ejpam-5933	429	15	,	,	PUNCT
ejpam-5933	429	16	t.	t.	PROPN
ejpam-5933	429	17	t.	t.	PROPN
ejpam-5933	429	18	hoang	hoang	PROPN
ejpam-5933	429	19	,	,	PUNCT
ejpam-5933	429	20	g.	g.	PROPN
ejpam-5933	429	21	h.	h.	PROPN
ejpam-5933	429	22	nguyen	nguyen	PROPN
ejpam-5933	429	23	,	,	PUNCT
ejpam-5933	429	24	and	and	CCONJ
ejpam-5933	429	25	et	et	PROPN
ejpam-5933	429	26	al	al	PROPN
ejpam-5933	429	27	.	.	PUNCT
ejpam-5933	429	28	characterization	characterization	NOUN
ejpam-5933	429	29	of	of	ADP
ejpam-5933	429	30	lumpy	lumpy	ADJ
ejpam-5933	429	31	skin	skin	NOUN
ejpam-5933	429	32	disease	disease	NOUN
ejpam-5933	429	33	virus	virus	NOUN
ejpam-5933	429	34	isolated	isolate	VERB
ejpam-5933	429	35	from	from	ADP
ejpam-5933	429	36	a	a	DET
ejpam-5933	429	37	giraffe	giraffe	NOUN
ejpam-5933	429	38	in	in	ADP
ejpam-5933	429	39	vietnam	vietnam	PROPN
ejpam-5933	429	40	.	.	PUNCT
ejpam-5933	430	1	transboundary	transboundary	NOUN
ejpam-5933	430	2	and	and	CCONJ
ejpam-5933	430	3	emerging	emerge	VERB
ejpam-5933	430	4	diseases	disease	NOUN
ejpam-5933	430	5	,	,	PUNCT
ejpam-5933	430	6	69	69	NUM
ejpam-5933	430	7	:	:	PUNCT
ejpam-5933	430	8	e3268	e3268	NUM
ejpam-5933	430	9	–	–	PUNCT
ejpam-5933	430	10	e3272	e3272	NUM
ejpam-5933	430	11	,	,	PUNCT
ejpam-5933	430	12	2022	2022	NUM
ejpam-5933	430	13	.	.	PUNCT
ejpam-5933	431	1	[	[	X
ejpam-5933	431	2	10	10	NUM
ejpam-5933	431	3	]	]	X
ejpam-5933	431	4	r.	r.	PROPN
ejpam-5933	431	5	kumar	kumar	PROPN
ejpam-5933	431	6	,	,	PUNCT
ejpam-5933	431	7	b.	b.	PROPN
ejpam-5933	431	8	godara	godara	PROPN
ejpam-5933	431	9	,	,	PUNCT
ejpam-5933	431	10	y.	y.	PROPN
ejpam-5933	431	11	chander	chander	PROPN
ejpam-5933	431	12	,	,	PUNCT
ejpam-5933	431	13	j.	j.	PROPN
ejpam-5933	431	14	p.	p.	PROPN
ejpam-5933	431	15	kachhawa	kachhawa	PROPN
ejpam-5933	431	16	,	,	PUNCT
ejpam-5933	431	17	r.	r.	PROPN
ejpam-5933	431	18	k.	k.	PROPN
ejpam-5933	431	19	dedar	dedar	PROPN
ejpam-5933	431	20	,	,	PUNCT
ejpam-5933	431	21	and	and	CCONJ
ejpam-5933	431	22	et	et	PROPN
ejpam-5933	431	23	al	al	PROPN
ejpam-5933	431	24	.	.	PROPN
ejpam-5933	432	1	evidence	evidence	NOUN
ejpam-5933	432	2	of	of	ADP
ejpam-5933	432	3	lumpy	lumpy	ADJ
ejpam-5933	432	4	skin	skin	NOUN
ejpam-5933	432	5	disease	disease	NOUN
ejpam-5933	432	6	virus	virus	NOUN
ejpam-5933	432	7	infection	infection	NOUN
ejpam-5933	432	8	in	in	ADP
ejpam-5933	432	9	camels	camel	NOUN
ejpam-5933	432	10	.	.	PUNCT
ejpam-5933	433	1	acta	acta	PROPN
ejpam-5933	433	2	tropica	tropica	PROPN
ejpam-5933	433	3	,	,	PUNCT
ejpam-5933	433	4	242:7	242:7	NUM
ejpam-5933	433	5	,	,	PUNCT
ejpam-5933	433	6	2023	2023	NUM
ejpam-5933	433	7	.	.	PUNCT
ejpam-5933	434	1	[	[	X
ejpam-5933	434	2	11	11	NUM
ejpam-5933	434	3	]	]	X
ejpam-5933	434	4	c.	c.	PROPN
ejpam-5933	434	5	m.	m.	PROPN
ejpam-5933	434	6	chihota	chihota	PROPN
ejpam-5933	434	7	,	,	PUNCT
ejpam-5933	434	8	l.	l.	PROPN
ejpam-5933	434	9	f.	f.	PROPN
ejpam-5933	434	10	rennie	rennie	PROPN
ejpam-5933	434	11	,	,	PUNCT
ejpam-5933	434	12	r.	r.	PROPN
ejpam-5933	434	13	p.	p.	PROPN
ejpam-5933	434	14	kitching	kitching	PROPN
ejpam-5933	434	15	,	,	PUNCT
ejpam-5933	434	16	and	and	CCONJ
ejpam-5933	434	17	p.	p.	PROPN
ejpam-5933	434	18	s.	s.	PROPN
ejpam-5933	434	19	mellor	mellor	PROPN
ejpam-5933	434	20	.	.	PROPN
ejpam-5933	435	1	mechanical	mechanical	ADJ
ejpam-5933	435	2	transmission	transmission	NOUN
ejpam-5933	435	3	of	of	ADP
ejpam-5933	435	4	lumpy	lumpy	ADJ
ejpam-5933	435	5	skin	skin	NOUN
ejpam-5933	435	6	disease	disease	NOUN
ejpam-5933	435	7	virus	virus	NOUN
ejpam-5933	435	8	by	by	ADP
ejpam-5933	435	9	aedes	aedes	PROPN
ejpam-5933	435	10	aegypti	aegypti	PROPN
ejpam-5933	435	11	(	(	PUNCT
ejpam-5933	435	12	diptera	diptera	NOUN
ejpam-5933	435	13	:	:	PUNCT
ejpam-5933	435	14	culicidae	culicidae	NOUN
ejpam-5933	435	15	)	)	PUNCT
ejpam-5933	435	16	.	.	PUNCT
ejpam-5933	436	1	epidemiology	epidemiology	NOUN
ejpam-5933	436	2	and	and	CCONJ
ejpam-5933	436	3	infection	infection	NOUN
ejpam-5933	436	4	,	,	PUNCT
ejpam-5933	436	5	126:317–321	126:317–321	NUM
ejpam-5933	436	6	,	,	PUNCT
ejpam-5933	436	7	2001	2001	NUM
ejpam-5933	436	8	.	.	PUNCT
ejpam-5933	437	1	[	[	X
ejpam-5933	437	2	12	12	NUM
ejpam-5933	437	3	]	]	PUNCT
ejpam-5933	437	4	v.	v.	ADP
ejpam-5933	437	5	m.	m.	PROPN
ejpam-5933	437	6	carn	carn	PROPN
ejpam-5933	437	7	and	and	CCONJ
ejpam-5933	437	8	r.	r.	PROPN
ejpam-5933	437	9	p.	p.	PROPN
ejpam-5933	437	10	kitching	kitching	PROPN
ejpam-5933	437	11	.	.	PUNCT
ejpam-5933	438	1	an	an	DET
ejpam-5933	438	2	investigation	investigation	NOUN
ejpam-5933	438	3	of	of	ADP
ejpam-5933	438	4	possible	possible	ADJ
ejpam-5933	438	5	routes	route	NOUN
ejpam-5933	438	6	of	of	ADP
ejpam-5933	438	7	transmission	transmission	NOUN
ejpam-5933	438	8	of	of	ADP
ejpam-5933	438	9	lumpy	lumpy	ADJ
ejpam-5933	438	10	skin	skin	NOUN
ejpam-5933	438	11	disease	disease	NOUN
ejpam-5933	438	12	virus	virus	NOUN
ejpam-5933	438	13	(	(	PUNCT
ejpam-5933	438	14	neethling	neethling	NOUN
ejpam-5933	438	15	)	)	PUNCT
ejpam-5933	438	16	.	.	PUNCT
ejpam-5933	439	1	epidemiology	epidemiology	NOUN
ejpam-5933	439	2	and	and	CCONJ
ejpam-5933	439	3	infection	infection	NOUN
ejpam-5933	439	4	,	,	PUNCT
ejpam-5933	439	5	114:219–226	114:219–226	NUM
ejpam-5933	439	6	,	,	PUNCT
ejpam-5933	439	7	1995	1995	NUM
ejpam-5933	439	8	.	.	PUNCT
ejpam-5933	440	1	[	[	X
ejpam-5933	440	2	13	13	NUM
ejpam-5933	440	3	]	]	X
ejpam-5933	440	4	c.	c.	PROPN
ejpam-5933	440	5	m.	m.	PROPN
ejpam-5933	440	6	chihota	chihota	PROPN
ejpam-5933	440	7	,	,	PUNCT
ejpam-5933	440	8	l.	l.	PROPN
ejpam-5933	440	9	f.	f.	PROPN
ejpam-5933	440	10	rennie	rennie	PROPN
ejpam-5933	440	11	,	,	PUNCT
ejpam-5933	440	12	r.	r.	PROPN
ejpam-5933	440	13	p.	p.	PROPN
ejpam-5933	440	14	kitching	kitching	PROPN
ejpam-5933	440	15	,	,	PUNCT
ejpam-5933	440	16	and	and	CCONJ
ejpam-5933	440	17	p.	p.	PROPN
ejpam-5933	440	18	s.	s.	PROPN
ejpam-5933	440	19	mellor	mellor	PROPN
ejpam-5933	440	20	.	.	PROPN
ejpam-5933	440	21	attempted	attempt	VERB
ejpam-5933	440	22	mechanical	mechanical	ADJ
ejpam-5933	440	23	transmission	transmission	NOUN
ejpam-5933	440	24	of	of	ADP
ejpam-5933	440	25	lumpy	lumpy	ADJ
ejpam-5933	440	26	skin	skin	NOUN
ejpam-5933	440	27	disease	disease	NOUN
ejpam-5933	440	28	virus	virus	NOUN
ejpam-5933	440	29	by	by	ADP
ejpam-5933	440	30	biting	bite	VERB
ejpam-5933	440	31	insects	insect	NOUN
ejpam-5933	440	32	.	.	PUNCT
ejpam-5933	441	1	medical	medical	ADJ
ejpam-5933	441	2	and	and	CCONJ
ejpam-5933	441	3	veterinary	veterinary	ADJ
ejpam-5933	441	4	entomology	entomology	NOUN
ejpam-5933	441	5	,	,	PUNCT
ejpam-5933	441	6	17:294–300	17:294–300	NUM
ejpam-5933	441	7	,	,	PUNCT
ejpam-5933	441	8	2003	2003	NUM
ejpam-5933	441	9	.	.	PUNCT
ejpam-5933	442	1	[	[	X
ejpam-5933	442	2	14	14	NUM
ejpam-5933	442	3	]	]	X
ejpam-5933	442	4	e.	e.	PROPN
ejpam-5933	442	5	s.	s.	PROPN
ejpam-5933	442	6	tuppurainen	tuppurainen	PROPN
ejpam-5933	442	7	,	,	PUNCT
ejpam-5933	442	8	e.	e.	PROPN
ejpam-5933	442	9	h.	h.	PROPN
ejpam-5933	442	10	venter	venter	PROPN
ejpam-5933	442	11	,	,	PUNCT
ejpam-5933	442	12	j.	j.	PROPN
ejpam-5933	442	13	a.	a.	PROPN
ejpam-5933	442	14	coetzer	coetzer	PROPN
ejpam-5933	442	15	,	,	PUNCT
ejpam-5933	442	16	and	and	CCONJ
ejpam-5933	442	17	l.	l.	PROPN
ejpam-5933	442	18	bell	bell	PROPN
ejpam-5933	442	19	-	-	PUNCT
ejpam-5933	442	20	sakyi	sakyi	ADJ
ejpam-5933	442	21	.	.	PUNCT
ejpam-5933	443	1	lumpy	lumpy	ADJ
ejpam-5933	443	2	skin	skin	NOUN
ejpam-5933	443	3	disease	disease	NOUN
ejpam-5933	443	4	:	:	PUNCT
ejpam-5933	443	5	attempted	attempt	VERB
ejpam-5933	443	6	propagation	propagation	NOUN
ejpam-5933	443	7	in	in	ADP
ejpam-5933	443	8	tick	tick	NOUN
ejpam-5933	443	9	cell	cell	NOUN
ejpam-5933	443	10	lines	line	NOUN
ejpam-5933	443	11	and	and	CCONJ
ejpam-5933	443	12	presence	presence	NOUN
ejpam-5933	443	13	of	of	ADP
ejpam-5933	443	14	viral	viral	ADJ
ejpam-5933	443	15	dna	dna	NOUN
ejpam-5933	443	16	in	in	ADP
ejpam-5933	443	17	field	field	NOUN
ejpam-5933	443	18	ticks	tick	NOUN
ejpam-5933	443	19	collected	collect	VERB
ejpam-5933	443	20	from	from	ADP
ejpam-5933	443	21	naturally	naturally	ADV
ejpam-5933	443	22	-	-	PUNCT
ejpam-5933	443	23	infected	infect	VERB
ejpam-5933	443	24	cattle	cattle	NOUN
ejpam-5933	443	25	.	.	PUNCT
ejpam-5933	444	1	ticks	tick	NOUN
ejpam-5933	444	2	and	and	CCONJ
ejpam-5933	444	3	tick	tick	NOUN
ejpam-5933	444	4	-	-	PUNCT
ejpam-5933	444	5	borne	bear	VERB
ejpam-5933	444	6	diseases	disease	NOUN
ejpam-5933	444	7	,	,	PUNCT
ejpam-5933	444	8	6:134	6:134	NUM
ejpam-5933	444	9	–	–	PUNCT
ejpam-5933	444	10	140	140	NUM
ejpam-5933	444	11	,	,	PUNCT
ejpam-5933	444	12	2015	2015	NUM
ejpam-5933	444	13	.	.	PUNCT
ejpam-5933	445	1	[	[	X
ejpam-5933	445	2	15	15	NUM
ejpam-5933	445	3	]	]	X
ejpam-5933	445	4	s.	s.	PROPN
ejpam-5933	445	5	gubbins	gubbins	PROPN
ejpam-5933	445	6	.	.	PUNCT
ejpam-5933	446	1	using	use	VERB
ejpam-5933	446	2	the	the	DET
ejpam-5933	446	3	basic	basic	ADJ
ejpam-5933	446	4	reproduction	reproduction	NOUN
ejpam-5933	446	5	number	number	NOUN
ejpam-5933	446	6	to	to	PART
ejpam-5933	446	7	assess	assess	VERB
ejpam-5933	446	8	the	the	DET
ejpam-5933	446	9	risk	risk	NOUN
ejpam-5933	446	10	of	of	ADP
ejpam-5933	446	11	transmission	transmission	NOUN
ejpam-5933	446	12	of	of	ADP
ejpam-5933	446	13	lumpy	lumpy	ADJ
ejpam-5933	446	14	skin	skin	NOUN
ejpam-5933	446	15	disease	disease	NOUN
ejpam-5933	446	16	virus	virus	NOUN
ejpam-5933	446	17	by	by	ADP
ejpam-5933	446	18	biting	bite	VERB
ejpam-5933	446	19	insects	insect	NOUN
ejpam-5933	446	20	.	.	PUNCT
ejpam-5933	447	1	transboundary	transboundary	NOUN
ejpam-5933	447	2	and	and	CCONJ
ejpam-5933	447	3	emerging	emerge	VERB
ejpam-5933	447	4	diseases	disease	NOUN
ejpam-5933	447	5	,	,	PUNCT
ejpam-5933	447	6	66:1873–1883	66:1873–1883	NUM
ejpam-5933	447	7	,	,	PUNCT
ejpam-5933	447	8	2019	2019	NUM
ejpam-5933	447	9	.	.	PUNCT
ejpam-5933	448	1	[	[	X
ejpam-5933	448	2	16	16	NUM
ejpam-5933	448	3	]	]	PUNCT
ejpam-5933	448	4	k.	k.	PROPN
ejpam-5933	448	5	weiss	weiss	PROPN
ejpam-5933	448	6	.	.	PUNCT
ejpam-5933	449	1	lumpy	lumpy	ADJ
ejpam-5933	449	2	skin	skin	NOUN
ejpam-5933	449	3	disease	disease	NOUN
ejpam-5933	449	4	virus	virus	NOUN
ejpam-5933	449	5	.	.	PUNCT
ejpam-5933	450	1	in	in	ADP
ejpam-5933	450	2	cytomegaloviruses	cytomegalovirus	NOUN
ejpam-5933	450	3	rinderpest	rinderpest	NOUN
ejpam-5933	450	4	virus	virus	NOUN
ejpam-5933	450	5	lumpy	lumpy	ADJ
ejpam-5933	450	6	skin	skin	NOUN
ejpam-5933	450	7	disease	disease	NOUN
ejpam-5933	450	8	virus	virus	NOUN
ejpam-5933	450	9	,	,	PUNCT
ejpam-5933	450	10	pages	page	NOUN
ejpam-5933	450	11	111–131	111–131	NUM
ejpam-5933	450	12	.	.	PUNCT
ejpam-5933	450	13	springer	springer	NOUN
ejpam-5933	450	14	,	,	PUNCT
ejpam-5933	450	15	1968	1968	NUM
ejpam-5933	450	16	.	.	PUNCT
ejpam-5933	451	1	[	[	X
ejpam-5933	451	2	17	17	NUM
ejpam-5933	451	3	]	]	X
ejpam-5933	451	4	n.	n.	PROPN
ejpam-5933	451	5	kumar	kumar	PROPN
ejpam-5933	451	6	and	and	CCONJ
ejpam-5933	451	7	b.	b.	PROPN
ejpam-5933	451	8	n.	n.	PROPN
ejpam-5933	451	9	tripathi	tripathi	PROPN
ejpam-5933	451	10	.	.	PUNCT
ejpam-5933	452	1	a	a	DET
ejpam-5933	452	2	serious	serious	ADJ
ejpam-5933	452	3	skin	skin	NOUN
ejpam-5933	452	4	virus	virus	NOUN
ejpam-5933	452	5	epidemic	epidemic	NOUN
ejpam-5933	452	6	sweeping	sweep	VERB
ejpam-5933	452	7	through	through	ADP
ejpam-5933	452	8	the	the	DET
ejpam-5933	452	9	indian	indian	PROPN
ejpam-5933	452	10	subcontinent	subcontinent	PROPN
ejpam-5933	452	11	is	be	AUX
ejpam-5933	452	12	a	a	DET
ejpam-5933	452	13	threat	threat	NOUN
ejpam-5933	452	14	to	to	ADP
ejpam-5933	452	15	the	the	DET
ejpam-5933	452	16	livelihood	livelihood	NOUN
ejpam-5933	452	17	of	of	ADP
ejpam-5933	452	18	farmers	farmer	NOUN
ejpam-5933	452	19	.	.	PUNCT
ejpam-5933	453	1	virulence	virulence	NOUN
ejpam-5933	453	2	,	,	PUNCT
ejpam-5933	453	3	13(1):1943	13(1):1943	NUM
ejpam-5933	453	4	–	–	PUNCT
ejpam-5933	453	5	1944	1944	NUM
ejpam-5933	453	6	,	,	PUNCT
ejpam-5933	453	7	dec	dec	PROPN
ejpam-5933	453	8	2022	2022	NUM
ejpam-5933	453	9	.	.	PUNCT
ejpam-5933	454	1	[	[	X
ejpam-5933	454	2	18	18	NUM
ejpam-5933	454	3	]	]	PUNCT
ejpam-5933	454	4	department	department	NOUN
ejpam-5933	454	5	sr	sr	PROPN
ejpam-5933	454	6	.	.	PUNCT
ejpam-5933	455	1	cattle	cattle	NOUN
ejpam-5933	455	2	population	population	NOUN
ejpam-5933	455	3	in	in	ADP
ejpam-5933	455	4	india	india	PROPN
ejpam-5933	455	5	2016–2023	2016–2023	NUM
ejpam-5933	455	6	,	,	PUNCT
ejpam-5933	455	7	dec	dec	PROPN
ejpam-5933	455	8	1	1	NUM
ejpam-5933	455	9	2022	2022	NUM
ejpam-5933	455	10	.	.	PUNCT
ejpam-5933	456	1	statistical	statistical	ADJ
ejpam-5933	456	2	report	report	NOUN
ejpam-5933	456	3	.	.	PUNCT
ejpam-5933	457	1	[	[	X
ejpam-5933	457	2	19	19	NUM
ejpam-5933	457	3	]	]	PUNCT
ejpam-5933	457	4	a.	a.	NOUN
ejpam-5933	457	5	a.	a.	PROPN
ejpam-5933	457	6	ali	ali	PROPN
ejpam-5933	457	7	,	,	PUNCT
ejpam-5933	457	8	a.	a.	PROPN
ejpam-5933	457	9	n.	n.	PROPN
ejpam-5933	457	10	f.	f.	PROPN
ejpam-5933	457	11	neamat	neamat	PROPN
ejpam-5933	457	12	-	-	PUNCT
ejpam-5933	457	13	allah	allah	PROPN
ejpam-5933	457	14	,	,	PUNCT
ejpam-5933	457	15	h.	h.	PROPN
ejpam-5933	457	16	a.	a.	PROPN
ejpam-5933	457	17	e.	e.	PROPN
ejpam-5933	457	18	sheire	sheire	PROPN
ejpam-5933	457	19	,	,	PUNCT
ejpam-5933	457	20	and	and	CCONJ
ejpam-5933	457	21	r.	r.	PROPN
ejpam-5933	457	22	i.	i.	PROPN
ejpam-5933	457	23	mohamed	mohamed	PROPN
ejpam-5933	457	24	.	.	PUNCT
ejpam-5933	458	1	prevalence	prevalence	NOUN
ejpam-5933	458	2	,	,	PUNCT
ejpam-5933	458	3	intensity	intensity	NOUN
ejpam-5933	458	4	,	,	PUNCT
ejpam-5933	458	5	and	and	CCONJ
ejpam-5933	458	6	impacts	impact	NOUN
ejpam-5933	458	7	of	of	ADP
ejpam-5933	458	8	non	non	ADJ
ejpam-5933	458	9	-	-	ADJ
ejpam-5933	458	10	cutaneous	cutaneous	ADJ
ejpam-5933	458	11	lesions	lesion	NOUN
ejpam-5933	458	12	of	of	ADP
ejpam-5933	458	13	lumpy	lumpy	ADJ
ejpam-5933	458	14	skin	skin	NOUN
ejpam-5933	458	15	disease	disease	NOUN
ejpam-5933	458	16	among	among	ADP
ejpam-5933	458	17	some	some	DET
ejpam-5933	458	18	infected	infect	VERB
ejpam-5933	458	19	cattle	cattle	NOUN
ejpam-5933	458	20	flocks	flock	NOUN
ejpam-5933	458	21	in	in	ADP
ejpam-5933	458	22	nile	nile	PROPN
ejpam-5933	458	23	delta	delta	PROPN
ejpam-5933	458	24	governorates	governorates	PROPN
ejpam-5933	458	25	,	,	PUNCT
ejpam-5933	458	26	egypt	egypt	PROPN
ejpam-5933	458	27	.	.	PUNCT
ejpam-5933	459	1	comparative	comparative	ADJ
ejpam-5933	459	2	clinical	clinical	ADJ
ejpam-5933	459	3	pathology	pathology	NOUN
ejpam-5933	459	4	,	,	PUNCT
ejpam-5933	459	5	30:693–700	30:693–700	NOUN
ejpam-5933	459	6	,	,	PUNCT
ejpam-5933	459	7	2021	2021	NUM
ejpam-5933	459	8	.	.	PUNCT
ejpam-5933	460	1	[	[	X
ejpam-5933	460	2	20	20	NUM
ejpam-5933	460	3	]	]	SYM
ejpam-5933	460	4	oie	oie	PROPN
ejpam-5933	460	5	world	world	NOUN
ejpam-5933	460	6	organisation	organisation	NOUN
ejpam-5933	460	7	for	for	ADP
ejpam-5933	460	8	animal	animal	NOUN
ejpam-5933	460	9	health	health	NOUN
ejpam-5933	460	10	.	.	PUNCT
ejpam-5933	461	1	version	version	NOUN
ejpam-5933	461	2	adopted	adopt	VERB
ejpam-5933	461	3	by	by	ADP
ejpam-5933	461	4	the	the	DET
ejpam-5933	461	5	world	world	NOUN
ejpam-5933	461	6	assembly	assembly	NOUN
ejpam-5933	461	7	of	of	ADP
ejpam-5933	461	8	delegates	delegate	NOUN
ejpam-5933	461	9	of	of	ADP
ejpam-5933	461	10	the	the	DET
ejpam-5933	461	11	oie	oie	NOUN
ejpam-5933	461	12	in	in	ADP
ejpam-5933	461	13	may	may	PROPN
ejpam-5933	461	14	2010	2010	NUM
ejpam-5933	461	15	,	,	PUNCT
ejpam-5933	461	16	oie	oie	PROPN
ejpam-5933	461	17	,	,	PUNCT
ejpam-5933	461	18	paris	paris	PROPN
ejpam-5933	461	19	:	:	PUNCT
ejpam-5933	461	20	terrestrial	terrestrial	ADJ
ejpam-5933	461	21	manual	manual	NOUN
ejpam-5933	461	22	of	of	ADP
ejpam-5933	461	23	lumpy	lumpy	ADJ
ejpam-5933	461	24	skin	skin	NOUN
ejpam-5933	461	25	disease	disease	NOUN
ejpam-5933	461	26	,	,	PUNCT
ejpam-5933	461	27	2010	2010	NUM
ejpam-5933	461	28	.	.	PUNCT
ejpam-5933	462	1	official	official	ADJ
ejpam-5933	462	2	document	document	NOUN
ejpam-5933	462	3	.	.	PUNCT
ejpam-5933	463	1	[	[	X
ejpam-5933	463	2	21	21	NUM
ejpam-5933	463	3	]	]	PUNCT
ejpam-5933	463	4	k.	k.	PROPN
ejpam-5933	463	5	macowan	macowan	PROPN
ejpam-5933	463	6	.	.	PUNCT
ejpam-5933	464	1	observations	observation	NOUN
ejpam-5933	464	2	on	on	ADP
ejpam-5933	464	3	the	the	DET
ejpam-5933	464	4	epizootiology	epizootiology	NOUN
ejpam-5933	464	5	of	of	ADP
ejpam-5933	464	6	lumpy	lumpy	ADJ
ejpam-5933	464	7	skin	skin	NOUN
ejpam-5933	464	8	disease	disease	NOUN
ejpam-5933	464	9	during	during	ADP
ejpam-5933	464	10	the	the	DET
ejpam-5933	464	11	first	first	ADJ
ejpam-5933	464	12	year	year	NOUN
ejpam-5933	464	13	of	of	ADP
ejpam-5933	464	14	its	its	PRON
ejpam-5933	464	15	occurrence	occurrence	NOUN
ejpam-5933	464	16	in	in	ADP
ejpam-5933	464	17	kenya	kenya	PROPN
ejpam-5933	464	18	.	.	PUNCT
ejpam-5933	465	1	bulletin	bulletin	NOUN
ejpam-5933	465	2	of	of	ADP
ejpam-5933	465	3	epizootic	epizootic	ADJ
ejpam-5933	465	4	diseases	disease	NOUN
ejpam-5933	465	5	of	of	ADP
ejpam-5933	465	6	africa	africa	PROPN
ejpam-5933	465	7	,	,	PUNCT
ejpam-5933	465	8	7:7–20	7:7–20	NUM
ejpam-5933	465	9	,	,	PUNCT
ejpam-5933	465	10	1959	1959	NUM
ejpam-5933	465	11	.	.	PUNCT
ejpam-5933	466	1	[	[	X
ejpam-5933	466	2	22	22	NUM
ejpam-5933	466	3	]	]	PUNCT
ejpam-5933	466	4	e.	e.	PROPN
ejpam-5933	466	5	s.	s.	PROPN
ejpam-5933	466	6	tuppurainen	tuppurainen	PROPN
ejpam-5933	466	7	and	and	CCONJ
ejpam-5933	466	8	c.	c.	PROPN
ejpam-5933	466	9	a.	a.	PROPN
ejpam-5933	466	10	oura	oura	PROPN
ejpam-5933	466	11	.	.	PUNCT
ejpam-5933	467	1	review	review	NOUN
ejpam-5933	467	2	:	:	PUNCT
ejpam-5933	467	3	lumpy	lumpy	VERB
ejpam-5933	467	4	skin	skin	NOUN
ejpam-5933	467	5	disease	disease	NOUN
ejpam-5933	467	6	:	:	PUNCT
ejpam-5933	467	7	an	an	DET
ejpam-5933	467	8	emerging	emerge	VERB
ejpam-5933	467	9	threat	threat	NOUN
ejpam-5933	467	10	to	to	ADP
ejpam-5933	467	11	europe	europe	PROPN
ejpam-5933	467	12	,	,	PUNCT
ejpam-5933	467	13	the	the	DET
ejpam-5933	467	14	middle	middle	PROPN
ejpam-5933	467	15	east	east	PROPN
ejpam-5933	467	16	and	and	CCONJ
ejpam-5933	467	17	asia	asia	PROPN
ejpam-5933	467	18	.	.	PUNCT
ejpam-5933	468	1	transboundary	transboundary	ADJ
ejpam-5933	468	2	and	and	CCONJ
ejpam-5933	468	3	emerging	emerge	VERB
ejpam-5933	468	4	diseases	disease	NOUN
ejpam-5933	468	5	,	,	PUNCT
ejpam-5933	468	6	59:40–48	59:40–48	NUM
ejpam-5933	468	7	,	,	PUNCT
ejpam-5933	468	8	r.	r.	PROPN
ejpam-5933	468	9	ramaswamy	ramaswamy	PROPN
ejpam-5933	468	10	et	et	PROPN
ejpam-5933	468	11	al	al	PROPN
ejpam-5933	468	12	.	.	PUNCT
ejpam-5933	468	13	/	/	SYM
ejpam-5933	468	14	eur	eur	PROPN
ejpam-5933	468	15	.	.	PUNCT
ejpam-5933	469	1	j.	j.	PROPN
ejpam-5933	469	2	pure	pure	PROPN
ejpam-5933	469	3	appl	appl	PROPN
ejpam-5933	469	4	.	.	PROPN
ejpam-5933	469	5	math	math	PROPN
ejpam-5933	469	6	,	,	PUNCT
ejpam-5933	469	7	18	18	NUM
ejpam-5933	469	8	(	(	PUNCT
ejpam-5933	469	9	2	2	NUM
ejpam-5933	469	10	)	)	PUNCT
ejpam-5933	469	11	(	(	PUNCT
ejpam-5933	469	12	2025	2025	NUM
ejpam-5933	469	13	)	)	PUNCT
ejpam-5933	469	14	,	,	PUNCT
ejpam-5933	469	15	5933	5933	NUM
ejpam-5933	469	16	24	24	NUM
ejpam-5933	469	17	of	of	ADP
ejpam-5933	469	18	25	25	NUM
ejpam-5933	469	19	2012	2012	NUM
ejpam-5933	469	20	.	.	PUNCT
ejpam-5933	470	1	[	[	X
ejpam-5933	470	2	23	23	NUM
ejpam-5933	470	3	]	]	PUNCT
ejpam-5933	470	4	j.	j.	PROPN
ejpam-5933	470	5	a.	a.	PROPN
ejpam-5933	470	6	house	house	PROPN
ejpam-5933	470	7	,	,	PUNCT
ejpam-5933	470	8	t.	t.	PROPN
ejpam-5933	470	9	m.	m.	PROPN
ejpam-5933	470	10	wilson	wilson	PROPN
ejpam-5933	470	11	,	,	PUNCT
ejpam-5933	470	12	s.	s.	PROPN
ejpam-5933	470	13	e.	e.	PROPN
ejpam-5933	470	14	nakashly	nakashly	PROPN
ejpam-5933	470	15	,	,	PUNCT
ejpam-5933	470	16	i.	i.	PROPN
ejpam-5933	470	17	a.	a.	PROPN
ejpam-5933	470	18	karim	karim	PROPN
ejpam-5933	470	19	,	,	PUNCT
ejpam-5933	470	20	i.	i.	PROPN
ejpam-5933	470	21	ismail	ismail	PROPN
ejpam-5933	470	22	,	,	PUNCT
ejpam-5933	470	23	and	and	CCONJ
ejpam-5933	470	24	et	et	PROPN
ejpam-5933	470	25	al	al	PROPN
ejpam-5933	470	26	.	.	PUNCT
ejpam-5933	471	1	the	the	DET
ejpam-5933	471	2	isolation	isolation	NOUN
ejpam-5933	471	3	of	of	ADP
ejpam-5933	471	4	lumpy	lumpy	ADJ
ejpam-5933	471	5	skin	skin	NOUN
ejpam-5933	471	6	disease	disease	NOUN
ejpam-5933	471	7	virus	virus	NOUN
ejpam-5933	471	8	and	and	CCONJ
ejpam-5933	471	9	bovine	bovine	NOUN
ejpam-5933	471	10	herpesvirus	herpesvirus	NOUN
ejpam-5933	471	11	-	-	PUNCT
ejpam-5933	471	12	from	from	ADP
ejpam-5933	471	13	cattle	cattle	NOUN
ejpam-5933	471	14	in	in	ADP
ejpam-5933	471	15	egypt	egypt	PROPN
ejpam-5933	471	16	.	.	PUNCT
ejpam-5933	472	1	journal	journal	PROPN
ejpam-5933	472	2	of	of	ADP
ejpam-5933	472	3	veterinary	veterinary	ADJ
ejpam-5933	472	4	diagnostic	diagnostic	ADJ
ejpam-5933	472	5	investigation	investigation	NOUN
ejpam-5933	472	6	,	,	PUNCT
ejpam-5933	472	7	2:111–115	2:111–115	NUM
ejpam-5933	472	8	,	,	PUNCT
ejpam-5933	472	9	1990	1990	NUM
ejpam-5933	472	10	.	.	PUNCT
ejpam-5933	473	1	[	[	X
ejpam-5933	473	2	24	24	NUM
ejpam-5933	473	3	]	]	PUNCT
ejpam-5933	473	4	i.	i.	NOUN
ejpam-5933	473	5	lojkić	lojkić	PROPN
ejpam-5933	473	6	,	,	PUNCT
ejpam-5933	473	7	i.	i.	PROPN
ejpam-5933	473	8	šimić	šimić	PROPN
ejpam-5933	473	9	,	,	PUNCT
ejpam-5933	473	10	n.	n.	PROPN
ejpam-5933	473	11	krešić	krešić	PROPN
ejpam-5933	473	12	,	,	PUNCT
ejpam-5933	473	13	and	and	CCONJ
ejpam-5933	473	14	t.	t.	PROPN
ejpam-5933	473	15	bedeković.	bedeković.	PROPN
ejpam-5933	473	16	complete	complete	ADJ
ejpam-5933	473	17	genome	genome	NOUN
ejpam-5933	473	18	sequence	sequence	NOUN
ejpam-5933	473	19	of	of	ADP
ejpam-5933	473	20	a	a	DET
ejpam-5933	473	21	lumpy	lumpy	ADJ
ejpam-5933	473	22	skin	skin	NOUN
ejpam-5933	473	23	disease	disease	NOUN
ejpam-5933	473	24	virus	virus	NOUN
ejpam-5933	473	25	strain	strain	NOUN
ejpam-5933	473	26	isolated	isolate	VERB
ejpam-5933	473	27	from	from	ADP
ejpam-5933	473	28	the	the	DET
ejpam-5933	473	29	skin	skin	NOUN
ejpam-5933	473	30	of	of	ADP
ejpam-5933	473	31	a	a	DET
ejpam-5933	473	32	vaccinated	vaccinated	ADJ
ejpam-5933	473	33	animal	animal	NOUN
ejpam-5933	473	34	.	.	PUNCT
ejpam-5933	474	1	genome	genome	NOUN
ejpam-5933	474	2	announcements	announcement	NOUN
ejpam-5933	474	3	,	,	PUNCT
ejpam-5933	474	4	6	6	NUM
ejpam-5933	474	5	:	:	SYM
ejpam-5933	474	6	e00482–18	e00482–18	ADJ
ejpam-5933	474	7	,	,	PUNCT
ejpam-5933	474	8	2018	2018	NUM
ejpam-5933	474	9	.	.	PUNCT
ejpam-5933	475	1	[	[	X
ejpam-5933	475	2	25	25	NUM
ejpam-5933	475	3	]	]	X
ejpam-5933	475	4	n.	n.	PROPN
ejpam-5933	475	5	kumar	kumar	PROPN
ejpam-5933	475	6	,	,	PUNCT
ejpam-5933	475	7	y.	y.	PROPN
ejpam-5933	475	8	chander	chander	PROPN
ejpam-5933	475	9	,	,	PUNCT
ejpam-5933	475	10	r.	r.	PROPN
ejpam-5933	475	11	kumar	kumar	PROPN
ejpam-5933	475	12	,	,	PUNCT
ejpam-5933	475	13	n.	n.	PROPN
ejpam-5933	475	14	khandelwal	khandelwal	PROPN
ejpam-5933	475	15	,	,	PUNCT
ejpam-5933	475	16	t.	t.	PROPN
ejpam-5933	475	17	riyesh	riyesh	NOUN
ejpam-5933	475	18	,	,	PUNCT
ejpam-5933	475	19	and	and	CCONJ
ejpam-5933	475	20	et	et	PROPN
ejpam-5933	475	21	al	al	PROPN
ejpam-5933	475	22	.	.	PUNCT
ejpam-5933	475	23	isolation	isolation	NOUN
ejpam-5933	475	24	and	and	CCONJ
ejpam-5933	475	25	characterization	characterization	NOUN
ejpam-5933	475	26	of	of	ADP
ejpam-5933	475	27	lumpy	lumpy	ADJ
ejpam-5933	475	28	skin	skin	NOUN
ejpam-5933	475	29	disease	disease	NOUN
ejpam-5933	475	30	virus	virus	NOUN
ejpam-5933	475	31	from	from	ADP
ejpam-5933	475	32	cattle	cattle	NOUN
ejpam-5933	475	33	in	in	ADP
ejpam-5933	475	34	india	india	PROPN
ejpam-5933	475	35	.	.	PUNCT
ejpam-5933	476	1	plos	plos	PROPN
ejpam-5933	476	2	one	one	NUM
ejpam-5933	476	3	,	,	PUNCT
ejpam-5933	476	4	16	16	NUM
ejpam-5933	476	5	:	:	PUNCT
ejpam-5933	476	6	e0241022	e0241022	NOUN
ejpam-5933	476	7	,	,	PUNCT
ejpam-5933	476	8	2021	2021	NUM
ejpam-5933	476	9	.	.	PUNCT
ejpam-5933	477	1	[	[	X
ejpam-5933	477	2	26	26	NUM
ejpam-5933	477	3	]	]	PUNCT
ejpam-5933	477	4	f.	f.	PROPN
ejpam-5933	477	5	a.	a.	PROPN
ejpam-5933	477	6	salib	salib	PROPN
ejpam-5933	477	7	and	and	CCONJ
ejpam-5933	477	8	a.	a.	PROPN
ejpam-5933	477	9	h.	h.	PROPN
ejpam-5933	477	10	osman	osman	PROPN
ejpam-5933	477	11	.	.	PUNCT
ejpam-5933	478	1	incidence	incidence	NOUN
ejpam-5933	478	2	of	of	ADP
ejpam-5933	478	3	lumpy	lumpy	ADJ
ejpam-5933	478	4	skin	skin	NOUN
ejpam-5933	478	5	disease	disease	NOUN
ejpam-5933	478	6	among	among	ADP
ejpam-5933	478	7	egyptian	egyptian	ADJ
ejpam-5933	478	8	cattle	cattle	NOUN
ejpam-5933	478	9	in	in	ADP
ejpam-5933	478	10	giza	giza	PROPN
ejpam-5933	478	11	governorate	governorate	PROPN
ejpam-5933	478	12	,	,	PUNCT
ejpam-5933	478	13	egypt	egypt	PROPN
ejpam-5933	478	14	.	.	PUNCT
ejpam-5933	479	1	veterinary	veterinary	ADJ
ejpam-5933	479	2	world	world	NOUN
ejpam-5933	479	3	,	,	PUNCT
ejpam-5933	479	4	4	4	NUM
ejpam-5933	479	5	,	,	PUNCT
ejpam-5933	479	6	2011	2011	NUM
ejpam-5933	479	7	.	.	PUNCT
ejpam-5933	480	1	[	[	X
ejpam-5933	480	2	27	27	NUM
ejpam-5933	480	3	]	]	X
ejpam-5933	480	4	s.	s.	PROPN
ejpam-5933	480	5	babiuk	babiuk	PROPN
ejpam-5933	480	6	,	,	PUNCT
ejpam-5933	480	7	t.	t.	PROPN
ejpam-5933	480	8	bowden	bowden	PROPN
ejpam-5933	480	9	,	,	PUNCT
ejpam-5933	480	10	g.	g.	PROPN
ejpam-5933	480	11	parkyn	parkyn	PROPN
ejpam-5933	480	12	,	,	PUNCT
ejpam-5933	480	13	b.	b.	PROPN
ejpam-5933	480	14	dalman	dalman	PROPN
ejpam-5933	480	15	,	,	PUNCT
ejpam-5933	480	16	l.	l.	PROPN
ejpam-5933	480	17	manning	manning	PROPN
ejpam-5933	480	18	,	,	PUNCT
ejpam-5933	480	19	and	and	CCONJ
ejpam-5933	480	20	et	et	PROPN
ejpam-5933	480	21	al	al	PROPN
ejpam-5933	480	22	.	.	PUNCT
ejpam-5933	481	1	quantification	quantification	NOUN
ejpam-5933	481	2	of	of	ADP
ejpam-5933	481	3	lumpy	lumpy	ADJ
ejpam-5933	481	4	skin	skin	NOUN
ejpam-5933	481	5	disease	disease	NOUN
ejpam-5933	481	6	virus	virus	NOUN
ejpam-5933	481	7	following	follow	VERB
ejpam-5933	481	8	experimental	experimental	ADJ
ejpam-5933	481	9	infection	infection	NOUN
ejpam-5933	481	10	in	in	ADP
ejpam-5933	481	11	cattle	cattle	NOUN
ejpam-5933	481	12	.	.	PUNCT
ejpam-5933	482	1	transboundary	transboundary	ADJ
ejpam-5933	482	2	and	and	CCONJ
ejpam-5933	482	3	emerging	emerge	VERB
ejpam-5933	482	4	diseases	disease	NOUN
ejpam-5933	482	5	,	,	PUNCT
ejpam-5933	482	6	55:299–307	55:299–307	NUM
ejpam-5933	482	7	,	,	PUNCT
ejpam-5933	482	8	2008	2008	NUM
ejpam-5933	482	9	.	.	PUNCT
ejpam-5933	483	1	[	[	X
ejpam-5933	483	2	28	28	NUM
ejpam-5933	483	3	]	]	X
ejpam-5933	483	4	e.	e.	PROPN
ejpam-5933	483	5	m.	m.	PROPN
ejpam-5933	483	6	e.	e.	PROPN
ejpam-5933	483	7	mathivanan	mathivanan	PROPN
ejpam-5933	483	8	,	,	PUNCT
ejpam-5933	483	9	k.	k.	PROPN
ejpam-5933	483	10	raju	raju	PROPN
ejpam-5933	483	11	,	,	PUNCT
ejpam-5933	483	12	and	and	CCONJ
ejpam-5933	483	13	r.	r.	PROPN
ejpam-5933	483	14	murugan	murugan	PROPN
ejpam-5933	483	15	.	.	PUNCT
ejpam-5933	484	1	outbreak	outbreak	NOUN
ejpam-5933	484	2	of	of	ADP
ejpam-5933	484	3	lumpy	lumpy	ADJ
ejpam-5933	484	4	skin	skin	NOUN
ejpam-5933	484	5	disease	disease	NOUN
ejpam-5933	484	6	in	in	ADP
ejpam-5933	484	7	india	india	PROPN
ejpam-5933	484	8	2022	2022	NUM
ejpam-5933	484	9	–	–	PUNCT
ejpam-5933	484	10	an	an	DET
ejpam-5933	484	11	emerging	emerge	VERB
ejpam-5933	484	12	threat	threat	NOUN
ejpam-5933	484	13	to	to	PART
ejpam-5933	484	14	livestock	livestock	NOUN
ejpam-5933	484	15	and	and	CCONJ
ejpam-5933	484	16	livelihoods	livelihood	NOUN
ejpam-5933	484	17	.	.	PUNCT
ejpam-5933	485	1	global	global	ADJ
ejpam-5933	485	2	biosecurity	biosecurity	NOUN
ejpam-5933	485	3	,	,	PUNCT
ejpam-5933	485	4	5	5	NUM
ejpam-5933	485	5	,	,	PUNCT
ejpam-5933	485	6	2023	2023	NUM
ejpam-5933	485	7	.	.	PUNCT
ejpam-5933	486	1	[	[	X
ejpam-5933	486	2	29	29	NUM
ejpam-5933	486	3	]	]	PUNCT
ejpam-5933	486	4	s.	s.	PROPN
ejpam-5933	486	5	b.	b.	PROPN
ejpam-5933	486	6	sudhakar	sudhakar	PROPN
ejpam-5933	486	7	,	,	PUNCT
ejpam-5933	486	8	n.	n.	PROPN
ejpam-5933	486	9	mishra	mishra	PROPN
ejpam-5933	486	10	,	,	PUNCT
ejpam-5933	486	11	s.	s.	PROPN
ejpam-5933	486	12	kalaiyarasu	kalaiyarasu	PROPN
ejpam-5933	486	13	,	,	PUNCT
ejpam-5933	486	14	s.	s.	PROPN
ejpam-5933	486	15	k.	k.	PROPN
ejpam-5933	486	16	jhade	jhade	PROPN
ejpam-5933	486	17	,	,	PUNCT
ejpam-5933	486	18	d.	d.	PROPN
ejpam-5933	486	19	hemadri	hemadri	PROPN
ejpam-5933	486	20	,	,	PUNCT
ejpam-5933	486	21	and	and	CCONJ
ejpam-5933	486	22	et	et	PROPN
ejpam-5933	486	23	al	al	PROPN
ejpam-5933	486	24	.	.	PROPN
ejpam-5933	486	25	lumpy	lumpy	ADJ
ejpam-5933	486	26	skin	skin	NOUN
ejpam-5933	486	27	disease	disease	NOUN
ejpam-5933	486	28	(	(	PUNCT
ejpam-5933	486	29	lsd	lsd	NOUN
ejpam-5933	486	30	)	)	PUNCT
ejpam-5933	486	31	outbreaks	outbreak	NOUN
ejpam-5933	486	32	in	in	ADP
ejpam-5933	486	33	cattle	cattle	NOUN
ejpam-5933	486	34	in	in	ADP
ejpam-5933	486	35	odisha	odisha	PROPN
ejpam-5933	486	36	state	state	PROPN
ejpam-5933	486	37	,	,	PUNCT
ejpam-5933	486	38	india	india	PROPN
ejpam-5933	486	39	in	in	ADP
ejpam-5933	486	40	august	august	PROPN
ejpam-5933	486	41	2019	2019	NUM
ejpam-5933	486	42	:	:	PUNCT
ejpam-5933	486	43	epidemiological	epidemiological	ADJ
ejpam-5933	486	44	features	feature	NOUN
ejpam-5933	486	45	and	and	CCONJ
ejpam-5933	486	46	molecular	molecular	ADJ
ejpam-5933	486	47	studies	study	NOUN
ejpam-5933	486	48	.	.	PUNCT
ejpam-5933	487	1	transboundary	transboundary	ADJ
ejpam-5933	487	2	and	and	CCONJ
ejpam-5933	487	3	emerging	emerge	VERB
ejpam-5933	487	4	diseases	disease	NOUN
ejpam-5933	487	5	,	,	PUNCT
ejpam-5933	487	6	67:2408–2422	67:2408–2422	NUM
ejpam-5933	487	7	,	,	PUNCT
ejpam-5933	487	8	2020	2020	NUM
ejpam-5933	487	9	.	.	PUNCT
ejpam-5933	488	1	[	[	X
ejpam-5933	488	2	30	30	NUM
ejpam-5933	488	3	]	]	PUNCT
ejpam-5933	488	4	p.	p.	NOUN
ejpam-5933	488	5	d.	d.	PROPN
ejpam-5933	488	6	minor	minor	PROPN
ejpam-5933	488	7	,	,	PUNCT
ejpam-5933	488	8	a.	a.	PROPN
ejpam-5933	488	9	john	john	PROPN
ejpam-5933	488	10	,	,	PUNCT
ejpam-5933	488	11	m.	m.	NOUN
ejpam-5933	488	12	ferguson	ferguson	PROPN
ejpam-5933	488	13	,	,	PUNCT
ejpam-5933	488	14	and	and	CCONJ
ejpam-5933	488	15	j.	j.	PROPN
ejpam-5933	488	16	p.	p.	PROPN
ejpam-5933	488	17	icenogle	icenogle	PROPN
ejpam-5933	488	18	.	.	PUNCT
ejpam-5933	489	1	antigenic	antigenic	ADJ
ejpam-5933	489	2	and	and	CCONJ
ejpam-5933	489	3	molecular	molecular	ADJ
ejpam-5933	489	4	evolution	evolution	NOUN
ejpam-5933	489	5	of	of	ADP
ejpam-5933	489	6	the	the	DET
ejpam-5933	489	7	vaccine	vaccine	NOUN
ejpam-5933	489	8	strain	strain	VERB
ejpam-5933	489	9	of	of	ADP
ejpam-5933	489	10	type	type	NOUN
ejpam-5933	489	11	3	3	NUM
ejpam-5933	489	12	poliovirus	poliovirus	NOUN
ejpam-5933	489	13	during	during	ADP
ejpam-5933	489	14	the	the	DET
ejpam-5933	489	15	period	period	NOUN
ejpam-5933	489	16	of	of	ADP
ejpam-5933	489	17	excretion	excretion	NOUN
ejpam-5933	489	18	by	by	ADP
ejpam-5933	489	19	a	a	DET
ejpam-5933	489	20	primary	primary	ADJ
ejpam-5933	489	21	vaccinee	vaccinee	NOUN
ejpam-5933	489	22	.	.	PUNCT
ejpam-5933	490	1	journal	journal	PROPN
ejpam-5933	490	2	of	of	ADP
ejpam-5933	490	3	general	general	ADJ
ejpam-5933	490	4	virology	virology	NOUN
ejpam-5933	490	5	,	,	PUNCT
ejpam-5933	490	6	67:693–706	67:693–706	PROPN
ejpam-5933	490	7	,	,	PUNCT
ejpam-5933	490	8	1986	1986	NUM
ejpam-5933	490	9	.	.	PUNCT
ejpam-5933	491	1	[	[	X
ejpam-5933	491	2	31	31	NUM
ejpam-5933	491	3	]	]	PUNCT
ejpam-5933	491	4	k.	k.	PROPN
ejpam-5933	491	5	yasir	yasir	PROPN
ejpam-5933	491	6	,	,	PUNCT
ejpam-5933	491	7	k.	k.	PROPN
ejpam-5933	491	8	muhammad	muhammad	PROPN
ejpam-5933	491	9	altaf	altaf	PROPN
ejpam-5933	491	10	,	,	PUNCT
ejpam-5933	491	11	fatmawati	fatmawati	NOUN
ejpam-5933	491	12	,	,	PUNCT
ejpam-5933	491	13	and	and	CCONJ
ejpam-5933	491	14	f.	f.	PROPN
ejpam-5933	491	15	naeem	naeem	PROPN
ejpam-5933	491	16	.	.	PUNCT
ejpam-5933	492	1	a	a	DET
ejpam-5933	492	2	fractional	fractional	ADJ
ejpam-5933	492	3	bank	bank	NOUN
ejpam-5933	492	4	competition	competition	NOUN
ejpam-5933	492	5	model	model	NOUN
ejpam-5933	492	6	in	in	ADP
ejpam-5933	492	7	caputo	caputo	PROPN
ejpam-5933	492	8	-	-	PUNCT
ejpam-5933	492	9	fabrizio	fabrizio	PROPN
ejpam-5933	492	10	derivative	derivative	NOUN
ejpam-5933	492	11	through	through	ADP
ejpam-5933	492	12	newton	newton	PROPN
ejpam-5933	492	13	polynomial	polynomial	PROPN
ejpam-5933	492	14	approach	approach	NOUN
ejpam-5933	492	15	.	.	PUNCT
ejpam-5933	493	1	alexandria	alexandria	PROPN
ejpam-5933	493	2	engineering	engineering	PROPN
ejpam-5933	493	3	journal	journal	PROPN
ejpam-5933	493	4	,	,	PUNCT
ejpam-5933	493	5	60(1):711–718	60(1):711–718	PROPN
ejpam-5933	493	6	,	,	PUNCT
ejpam-5933	493	7	2021	2021	NUM
ejpam-5933	493	8	.	.	PUNCT
ejpam-5933	494	1	[	[	X
ejpam-5933	494	2	32	32	NUM
ejpam-5933	494	3	]	]	PUNCT
ejpam-5933	494	4	r.	r.	PROPN
ejpam-5933	494	5	singh	singh	PROPN
ejpam-5933	494	6	,	,	PUNCT
ejpam-5933	494	7	a.	a.	PROPN
ejpam-5933	494	8	akgül	akgül	PROPN
ejpam-5933	494	9	,	,	PUNCT
ejpam-5933	494	10	j.	j.	PROPN
ejpam-5933	494	11	mishra	mishra	PROPN
ejpam-5933	494	12	,	,	PUNCT
ejpam-5933	494	13	and	and	CCONJ
ejpam-5933	494	14	v.	v.	ADP
ejpam-5933	494	15	k.	k.	PROPN
ejpam-5933	494	16	gupta	gupta	PROPN
ejpam-5933	494	17	.	.	PUNCT
ejpam-5933	495	1	mathematical	mathematical	ADJ
ejpam-5933	495	2	evaluation	evaluation	NOUN
ejpam-5933	495	3	and	and	CCONJ
ejpam-5933	495	4	dynamic	dynamic	ADJ
ejpam-5933	495	5	transmissions	transmission	NOUN
ejpam-5933	495	6	of	of	ADP
ejpam-5933	495	7	a	a	DET
ejpam-5933	495	8	cervical	cervical	ADJ
ejpam-5933	495	9	cancer	cancer	NOUN
ejpam-5933	495	10	model	model	NOUN
ejpam-5933	495	11	using	use	VERB
ejpam-5933	495	12	a	a	DET
ejpam-5933	495	13	fractional	fractional	ADJ
ejpam-5933	495	14	operator	operator	NOUN
ejpam-5933	495	15	.	.	PUNCT
ejpam-5933	496	1	contemporary	contemporary	ADJ
ejpam-5933	496	2	mathematics	mathematics	PROPN
ejpam-5933	496	3	,	,	PUNCT
ejpam-5933	496	4	5(3):2646–2667	5(3):2646–2667	PROPN
ejpam-5933	496	5	,	,	PUNCT
ejpam-5933	496	6	jul	jul	PROPN
ejpam-5933	496	7	16	16	NUM
ejpam-5933	496	8	2024	2024	NUM
ejpam-5933	496	9	.	.	PUNCT
ejpam-5933	497	1	[	[	X
ejpam-5933	497	2	cited	cite	VERB
ejpam-5933	497	3	2025	2025	NUM
ejpam-5933	497	4	mar	mar	PROPN
ejpam-5933	497	5	.	.	PROPN
ejpam-5933	497	6	31	31	NUM
ejpam-5933	497	7	]	]	PUNCT
ejpam-5933	497	8	.	.	PUNCT
ejpam-5933	498	1	[	[	X
ejpam-5933	498	2	33	33	NUM
ejpam-5933	498	3	]	]	X
ejpam-5933	498	4	preety	preety	NOUN
ejpam-5933	498	5	kumari	kumari	PROPN
ejpam-5933	498	6	,	,	PUNCT
ejpam-5933	498	7	harendra	harendra	PROPN
ejpam-5933	498	8	pal	pal	PROPN
ejpam-5933	498	9	singh	singh	PROPN
ejpam-5933	498	10	,	,	PUNCT
ejpam-5933	498	11	and	and	CCONJ
ejpam-5933	498	12	swarn	swarn	PROPN
ejpam-5933	498	13	singh	singh	PROPN
ejpam-5933	498	14	.	.	PUNCT
ejpam-5933	499	1	global	global	ADJ
ejpam-5933	499	2	stability	stability	NOUN
ejpam-5933	499	3	of	of	ADP
ejpam-5933	499	4	novel	novel	ADJ
ejpam-5933	499	5	coronavirus	coronavirus	NOUN
ejpam-5933	499	6	model	model	NOUN
ejpam-5933	499	7	using	use	VERB
ejpam-5933	499	8	fractional	fractional	ADJ
ejpam-5933	499	9	derivative	derivative	NOUN
ejpam-5933	499	10	.	.	PUNCT
ejpam-5933	500	1	computational	computational	ADJ
ejpam-5933	500	2	and	and	CCONJ
ejpam-5933	500	3	applied	applied	ADJ
ejpam-5933	500	4	mathematics	mathematic	NOUN
ejpam-5933	500	5	,	,	PUNCT
ejpam-5933	500	6	42(8):346	42(8):346	NUM
ejpam-5933	500	7	,	,	PUNCT
ejpam-5933	500	8	2023	2023	NUM
ejpam-5933	500	9	.	.	PUNCT
ejpam-5933	501	1	[	[	X
ejpam-5933	501	2	34	34	NUM
ejpam-5933	501	3	]	]	X
ejpam-5933	501	4	jagdev	jagdev	PROPN
ejpam-5933	501	5	singh	singh	PROPN
ejpam-5933	501	6	,	,	PUNCT
ejpam-5933	501	7	devendra	devendra	PROPN
ejpam-5933	501	8	kumar	kumar	PROPN
ejpam-5933	501	9	,	,	PUNCT
ejpam-5933	501	10	and	and	CCONJ
ejpam-5933	501	11	dumitru	dumitru	PROPN
ejpam-5933	501	12	baleanu	baleanu	NOUN
ejpam-5933	501	13	.	.	PUNCT
ejpam-5933	502	1	on	on	ADP
ejpam-5933	502	2	the	the	DET
ejpam-5933	502	3	analysis	analysis	NOUN
ejpam-5933	502	4	of	of	ADP
ejpam-5933	502	5	fractional	fractional	ADJ
ejpam-5933	502	6	diabetes	diabetes	NOUN
ejpam-5933	502	7	model	model	NOUN
ejpam-5933	502	8	with	with	ADP
ejpam-5933	502	9	exponential	exponential	ADJ
ejpam-5933	502	10	law	law	NOUN
ejpam-5933	502	11	.	.	PUNCT
ejpam-5933	503	1	advances	advance	NOUN
ejpam-5933	503	2	in	in	ADP
ejpam-5933	503	3	difference	difference	NOUN
ejpam-5933	503	4	equations	equation	NOUN
ejpam-5933	503	5	,	,	PUNCT
ejpam-5933	503	6	2018(1):1–15	2018(1):1–15	NOUN
ejpam-5933	503	7	,	,	PUNCT
ejpam-5933	503	8	2018	2018	NUM
ejpam-5933	503	9	.	.	PUNCT
ejpam-5933	504	1	[	[	X
ejpam-5933	504	2	35	35	NUM
ejpam-5933	504	3	]	]	X
ejpam-5933	504	4	seher	seher	NOUN
ejpam-5933	504	5	melike	melike	NOUN
ejpam-5933	504	6	aydogan	aydogan	NOUN
ejpam-5933	504	7	,	,	PUNCT
ejpam-5933	504	8	dumitru	dumitru	PROPN
ejpam-5933	504	9	baleanu	baleanu	NOUN
ejpam-5933	504	10	,	,	PUNCT
ejpam-5933	504	11	hakimeh	hakimeh	VERB
ejpam-5933	504	12	mohammadi	mohammadi	NOUN
ejpam-5933	504	13	,	,	PUNCT
ejpam-5933	504	14	and	and	CCONJ
ejpam-5933	504	15	shahram	shahram	PROPN
ejpam-5933	504	16	rezapour	rezapour	PROPN
ejpam-5933	504	17	.	.	PUNCT
ejpam-5933	505	1	on	on	ADP
ejpam-5933	505	2	the	the	DET
ejpam-5933	505	3	mathematical	mathematical	ADJ
ejpam-5933	505	4	model	model	NOUN
ejpam-5933	505	5	of	of	ADP
ejpam-5933	505	6	rabies	rabie	NOUN
ejpam-5933	505	7	by	by	ADP
ejpam-5933	505	8	using	use	VERB
ejpam-5933	505	9	the	the	DET
ejpam-5933	505	10	fractional	fractional	PROPN
ejpam-5933	505	11	caputo	caputo	PROPN
ejpam-5933	505	12	–	–	PUNCT
ejpam-5933	505	13	fabrizio	fabrizio	PROPN
ejpam-5933	505	14	derivative	derivative	NOUN
ejpam-5933	505	15	.	.	PUNCT
ejpam-5933	506	1	advances	advance	NOUN
ejpam-5933	506	2	in	in	ADP
ejpam-5933	506	3	difference	difference	NOUN
ejpam-5933	506	4	equations	equation	NOUN
ejpam-5933	506	5	,	,	PUNCT
ejpam-5933	506	6	2020(1):382	2020(1):382	NUM
ejpam-5933	506	7	,	,	PUNCT
ejpam-5933	506	8	2020	2020	NUM
ejpam-5933	506	9	.	.	PUNCT
ejpam-5933	507	1	[	[	X
ejpam-5933	507	2	36	36	NUM
ejpam-5933	507	3	]	]	X
ejpam-5933	507	4	azhar	azhar	PROPN
ejpam-5933	507	5	iqbal	iqbal	PROPN
ejpam-5933	507	6	kashif	kashif	PROPN
ejpam-5933	507	7	butt	butt	PROPN
ejpam-5933	507	8	.	.	PUNCT
ejpam-5933	508	1	dynamical	dynamical	ADJ
ejpam-5933	508	2	modeling	modeling	NOUN
ejpam-5933	508	3	of	of	ADP
ejpam-5933	508	4	lumpy	lumpy	ADJ
ejpam-5933	508	5	skin	skin	NOUN
ejpam-5933	508	6	disease	disease	NOUN
ejpam-5933	508	7	using	use	VERB
ejpam-5933	508	8	atangana	atangana	PROPN
ejpam-5933	508	9	–	–	PUNCT
ejpam-5933	508	10	baleanu	baleanu	ADJ
ejpam-5933	508	11	derivative	derivative	ADJ
ejpam-5933	508	12	and	and	CCONJ
ejpam-5933	508	13	optimal	optimal	ADJ
ejpam-5933	508	14	control	control	NOUN
ejpam-5933	508	15	analysis	analysis	NOUN
ejpam-5933	508	16	.	.	PUNCT
ejpam-5933	509	1	modeling	model	VERB
ejpam-5933	509	2	earth	earth	NOUN
ejpam-5933	509	3	systems	system	NOUN
ejpam-5933	509	4	and	and	CCONJ
ejpam-5933	509	5	environment	environment	NOUN
ejpam-5933	509	6	,	,	PUNCT
ejpam-5933	509	7	11(1):27	11(1):27	NUM
ejpam-5933	509	8	,	,	PUNCT
ejpam-5933	509	9	2025	2025	NUM
ejpam-5933	509	10	.	.	PUNCT
ejpam-5933	510	1	r.	r.	PROPN
ejpam-5933	510	2	ramaswamy	ramaswamy	PROPN
ejpam-5933	510	3	et	et	PROPN
ejpam-5933	510	4	al	al	PROPN
ejpam-5933	510	5	.	.	PUNCT
ejpam-5933	510	6	/	/	SYM
ejpam-5933	510	7	eur	eur	PROPN
ejpam-5933	510	8	.	.	PUNCT
ejpam-5933	511	1	j.	j.	PROPN
ejpam-5933	511	2	pure	pure	PROPN
ejpam-5933	511	3	appl	appl	PROPN
ejpam-5933	511	4	.	.	PROPN
ejpam-5933	511	5	math	math	PROPN
ejpam-5933	511	6	,	,	PUNCT
ejpam-5933	511	7	18	18	NUM
ejpam-5933	511	8	(	(	PUNCT
ejpam-5933	511	9	2	2	NUM
ejpam-5933	511	10	)	)	PUNCT
ejpam-5933	511	11	(	(	PUNCT
ejpam-5933	511	12	2025	2025	NUM
ejpam-5933	511	13	)	)	PUNCT
ejpam-5933	511	14	,	,	PUNCT
ejpam-5933	511	15	5933	5933	NUM
ejpam-5933	511	16	25	25	NUM
ejpam-5933	511	17	of	of	ADP
ejpam-5933	511	18	25	25	NUM
ejpam-5933	511	19	[	[	SYM
ejpam-5933	511	20	37	37	NUM
ejpam-5933	511	21	]	]	X
ejpam-5933	511	22	national	national	ADJ
ejpam-5933	511	23	dairy	dairy	NOUN
ejpam-5933	511	24	development	development	NOUN
ejpam-5933	511	25	board	board	NOUN
ejpam-5933	511	26	.	.	PUNCT
ejpam-5933	512	1	livestock	livestock	NOUN
ejpam-5933	512	2	population	population	NOUN
ejpam-5933	512	3	in	in	ADP
ejpam-5933	512	4	india	india	PROPN
ejpam-5933	512	5	by	by	ADP
ejpam-5933	512	6	species	specie	NOUN
ejpam-5933	512	7	,	,	PUNCT
ejpam-5933	512	8	2025	2025	NUM
ejpam-5933	512	9	.	.	PUNCT
ejpam-5933	512	10	accessed	access	VERB
ejpam-5933	512	11	:	:	PUNCT
ejpam-5933	512	12	2025	2025	NUM
ejpam-5933	512	13	-	-	SYM
ejpam-5933	512	14	03	03	NUM
ejpam-5933	512	15	-	-	SYM
ejpam-5933	512	16	31	31	NUM
ejpam-5933	512	17	.	.	PUNCT
ejpam-5933	513	1	[	[	X
ejpam-5933	513	2	38	38	NUM
ejpam-5933	513	3	]	]	PUNCT
ejpam-5933	513	4	k.	k.	PROPN
ejpam-5933	513	5	s.	s.	PROPN
ejpam-5933	513	6	nisar	nisar	PROPN
ejpam-5933	513	7	,	,	PUNCT
ejpam-5933	513	8	s.	s.	PROPN
ejpam-5933	513	9	ahmad	ahmad	PROPN
ejpam-5933	513	10	,	,	PUNCT
ejpam-5933	513	11	a.	a.	PROPN
ejpam-5933	513	12	ullah	ullah	PROPN
ejpam-5933	513	13	,	,	PUNCT
ejpam-5933	513	14	k.	k.	PROPN
ejpam-5933	513	15	shah	shah	PROPN
ejpam-5933	513	16	,	,	PUNCT
ejpam-5933	513	17	h.	h.	PROPN
ejpam-5933	513	18	alrabaiah	alrabaiah	PROPN
ejpam-5933	513	19	,	,	PUNCT
ejpam-5933	513	20	and	and	CCONJ
ejpam-5933	513	21	m.	m.	NOUN
ejpam-5933	513	22	arfan	arfan	PROPN
ejpam-5933	513	23	.	.	PUNCT
ejpam-5933	514	1	mathematical	mathematical	ADJ
ejpam-5933	514	2	analysis	analysis	NOUN
ejpam-5933	514	3	of	of	ADP
ejpam-5933	514	4	sird	sird	NOUN
ejpam-5933	514	5	model	model	NOUN
ejpam-5933	514	6	of	of	ADP
ejpam-5933	514	7	covid-19	covid-19	PROPN
ejpam-5933	514	8	with	with	ADP
ejpam-5933	514	9	caputo	caputo	PROPN
ejpam-5933	514	10	fractional	fractional	PROPN
ejpam-5933	514	11	derivative	derivative	PROPN
ejpam-5933	514	12	based	base	VERB
ejpam-5933	514	13	on	on	ADP
ejpam-5933	514	14	real	real	ADJ
ejpam-5933	514	15	data	datum	NOUN
ejpam-5933	514	16	.	.	PUNCT
ejpam-5933	515	1	results	result	NOUN
ejpam-5933	515	2	in	in	ADP
ejpam-5933	515	3	physics	physics	NOUN
ejpam-5933	515	4	,	,	PUNCT
ejpam-5933	515	5	21:103772	21:103772	NUM
ejpam-5933	515	6	,	,	PUNCT
ejpam-5933	515	7	2021	2021	NUM
ejpam-5933	515	8	.	.	PUNCT
ejpam-5933	516	1	[	[	X
ejpam-5933	516	2	39	39	NUM
ejpam-5933	516	3	]	]	PUNCT
ejpam-5933	516	4	m.	m.	NOUN
ejpam-5933	516	5	caputo	caputo	PROPN
ejpam-5933	516	6	and	and	CCONJ
ejpam-5933	516	7	m.	m.	PROPN
ejpam-5933	516	8	fabrizio	fabrizio	PROPN
ejpam-5933	516	9	.	.	PUNCT
ejpam-5933	517	1	a	a	DET
ejpam-5933	517	2	new	new	ADJ
ejpam-5933	517	3	definition	definition	NOUN
ejpam-5933	517	4	of	of	ADP
ejpam-5933	517	5	fractional	fractional	ADJ
ejpam-5933	517	6	derivative	derivative	NOUN
ejpam-5933	517	7	without	without	ADP
ejpam-5933	517	8	singular	singular	ADJ
ejpam-5933	517	9	kernel	kernel	PROPN
ejpam-5933	517	10	.	.	PUNCT
ejpam-5933	518	1	progress	progress	NOUN
ejpam-5933	518	2	in	in	ADP
ejpam-5933	518	3	fractional	fractional	ADJ
ejpam-5933	518	4	differentiation	differentiation	NOUN
ejpam-5933	518	5	and	and	CCONJ
ejpam-5933	518	6	applications	application	NOUN
ejpam-5933	518	7	,	,	PUNCT
ejpam-5933	518	8	1:1–13	1:1–13	NUM
ejpam-5933	518	9	,	,	PUNCT
ejpam-5933	518	10	2015	2015	NUM
ejpam-5933	518	11	.	.	PUNCT
ejpam-5933	519	1	[	[	X
ejpam-5933	519	2	40	40	NUM
ejpam-5933	519	3	]	]	PUNCT
ejpam-5933	519	4	j.	j.	PROPN
ejpam-5933	519	5	losada	losada	PROPN
ejpam-5933	519	6	and	and	CCONJ
ejpam-5933	519	7	j.	j.	PROPN
ejpam-5933	519	8	j.	j.	PROPN
ejpam-5933	519	9	nieto	nieto	PROPN
ejpam-5933	519	10	.	.	PUNCT
ejpam-5933	520	1	properties	property	NOUN
ejpam-5933	520	2	of	of	ADP
ejpam-5933	520	3	a	a	DET
ejpam-5933	520	4	new	new	ADJ
ejpam-5933	520	5	fractional	fractional	ADJ
ejpam-5933	520	6	derivative	derivative	NOUN
ejpam-5933	520	7	without	without	ADP
ejpam-5933	520	8	singular	singular	ADJ
ejpam-5933	520	9	kernel	kernel	PROPN
ejpam-5933	520	10	.	.	PUNCT
ejpam-5933	521	1	progress	progress	NOUN
ejpam-5933	521	2	in	in	ADP
ejpam-5933	521	3	fractional	fractional	ADJ
ejpam-5933	521	4	differentiation	differentiation	NOUN
ejpam-5933	521	5	and	and	CCONJ
ejpam-5933	521	6	applications	application	NOUN
ejpam-5933	521	7	,	,	PUNCT
ejpam-5933	521	8	1:87–92	1:87–92	NUM
ejpam-5933	521	9	,	,	PUNCT
ejpam-5933	521	10	2015	2015	NUM
ejpam-5933	521	11	.	.	PUNCT
ejpam-5933	522	1	[	[	X
ejpam-5933	522	2	41	41	NUM
ejpam-5933	522	3	]	]	PUNCT
ejpam-5933	522	4	a.	a.	NOUN
ejpam-5933	522	5	a.	a.	PROPN
ejpam-5933	522	6	thirthar	thirthar	PROPN
ejpam-5933	522	7	,	,	PUNCT
ejpam-5933	522	8	h.	h.	PROPN
ejpam-5933	522	9	abboubakar	abboubakar	PROPN
ejpam-5933	522	10	,	,	PUNCT
ejpam-5933	522	11	a.	a.	PROPN
ejpam-5933	522	12	l.	l.	PROPN
ejpam-5933	522	13	alaoui	alaoui	PROPN
ejpam-5933	522	14	,	,	PUNCT
ejpam-5933	522	15	and	and	CCONJ
ejpam-5933	522	16	k.	k.	PROPN
ejpam-5933	522	17	s.	s.	PROPN
ejpam-5933	522	18	nisar	nisar	PROPN
ejpam-5933	522	19	.	.	PUNCT
ejpam-5933	523	1	dynamical	dynamical	ADJ
ejpam-5933	523	2	behavior	behavior	NOUN
ejpam-5933	523	3	of	of	ADP
ejpam-5933	523	4	a	a	DET
ejpam-5933	523	5	fractional	fractional	ADJ
ejpam-5933	523	6	-	-	PUNCT
ejpam-5933	523	7	order	order	NOUN
ejpam-5933	523	8	epidemic	epidemic	NOUN
ejpam-5933	523	9	model	model	NOUN
ejpam-5933	523	10	for	for	ADP
ejpam-5933	523	11	investigating	investigate	VERB
ejpam-5933	523	12	two	two	NUM
ejpam-5933	523	13	fear	fear	NOUN
ejpam-5933	523	14	effect	effect	NOUN
ejpam-5933	523	15	functions	function	NOUN
ejpam-5933	523	16	.	.	PUNCT
ejpam-5933	524	1	results	result	NOUN
ejpam-5933	524	2	in	in	ADP
ejpam-5933	524	3	control	control	NOUN
ejpam-5933	524	4	and	and	CCONJ
ejpam-5933	524	5	optimization	optimization	NOUN
ejpam-5933	524	6	,	,	PUNCT
ejpam-5933	524	7	16:100474	16:100474	ADV
ejpam-5933	524	8	,	,	PUNCT
ejpam-5933	524	9	2024	2024	NUM
ejpam-5933	524	10	.	.	PUNCT
ejpam-5933	525	1	[	[	X
ejpam-5933	525	2	42	42	NUM
ejpam-5933	525	3	]	]	PUNCT
ejpam-5933	525	4	k.	k.	PROPN
ejpam-5933	525	5	muthuvel	muthuvel	PROPN
ejpam-5933	525	6	,	,	PUNCT
ejpam-5933	525	7	k.	k.	PROPN
ejpam-5933	525	8	kaliraj	kaliraj	PROPN
ejpam-5933	525	9	,	,	PUNCT
ejpam-5933	525	10	k.	k.	PROPN
ejpam-5933	525	11	s.	s.	PROPN
ejpam-5933	525	12	nisar	nisar	PROPN
ejpam-5933	525	13	,	,	PUNCT
ejpam-5933	525	14	and	and	CCONJ
ejpam-5933	525	15	v.	v.	ADP
ejpam-5933	525	16	vijayakumar	vijayakumar	PROPN
ejpam-5933	525	17	.	.	PUNCT
ejpam-5933	526	1	relative	relative	ADJ
ejpam-5933	526	2	controllability	controllability	NOUN
ejpam-5933	526	3	for	for	ADP
ejpam-5933	526	4	ψ	ψ	PROPN
ejpam-5933	526	5	-	-	PUNCT
ejpam-5933	526	6	caputo	caputo	ADJ
ejpam-5933	526	7	fractional	fractional	ADJ
ejpam-5933	526	8	delay	delay	NOUN
ejpam-5933	526	9	control	control	NOUN
ejpam-5933	526	10	system	system	NOUN
ejpam-5933	526	11	.	.	PUNCT
ejpam-5933	527	1	results	result	NOUN
ejpam-5933	527	2	in	in	ADP
ejpam-5933	527	3	control	control	NOUN
ejpam-5933	527	4	and	and	CCONJ
ejpam-5933	527	5	optimization	optimization	NOUN
ejpam-5933	527	6	,	,	PUNCT
ejpam-5933	527	7	16:100475	16:100475	NUM
ejpam-5933	527	8	,	,	PUNCT
ejpam-5933	527	9	2024	2024	NUM
ejpam-5933	527	10	.	.	PUNCT
ejpam-5933	528	1	[	[	X
ejpam-5933	528	2	43	43	NUM
ejpam-5933	528	3	]	]	PUNCT
ejpam-5933	528	4	k.	k.	PROPN
ejpam-5933	528	5	s.	s.	PROPN
ejpam-5933	528	6	nisar	nisar	PROPN
ejpam-5933	528	7	.	.	PUNCT
ejpam-5933	529	1	a	a	DET
ejpam-5933	529	2	constructive	constructive	ADJ
ejpam-5933	529	3	numerical	numerical	ADJ
ejpam-5933	529	4	approach	approach	NOUN
ejpam-5933	529	5	to	to	PART
ejpam-5933	529	6	solve	solve	VERB
ejpam-5933	529	7	the	the	DET
ejpam-5933	529	8	fractional	fractional	ADJ
ejpam-5933	529	9	modified	modify	VERB
ejpam-5933	529	10	camassa	camassa	ADJ
ejpam-5933	529	11	-	-	PUNCT
ejpam-5933	529	12	holm	holm	NOUN
ejpam-5933	529	13	equation	equation	NOUN
ejpam-5933	529	14	.	.	PUNCT
ejpam-5933	530	1	alexandria	alexandria	PROPN
ejpam-5933	530	2	engineering	engineering	PROPN
ejpam-5933	530	3	journal	journal	PROPN
ejpam-5933	530	4	,	,	PUNCT
ejpam-5933	530	5	106:19–24	106:19–24	PROPN
ejpam-5933	530	6	,	,	PUNCT
ejpam-5933	530	7	2024	2024	NUM
ejpam-5933	530	8	.	.	PUNCT
ejpam-5933	531	1	[	[	X
ejpam-5933	531	2	44	44	NUM
ejpam-5933	531	3	]	]	X
ejpam-5933	531	4	stefan	stefan	PROPN
ejpam-5933	531	5	banach	banach	PROPN
ejpam-5933	531	6	.	.	PUNCT
ejpam-5933	532	1	sur	sur	PROPN
ejpam-5933	532	2	les	les	X
ejpam-5933	532	3	opérations	opération	NOUN
ejpam-5933	532	4	dans	dan	NOUN
ejpam-5933	532	5	les	les	X
ejpam-5933	532	6	ensembles	ensemble	NOUN
ejpam-5933	532	7	abstraits	abstrait	NOUN
ejpam-5933	532	8	et	et	PROPN
ejpam-5933	532	9	leur	leur	X
ejpam-5933	532	10	application	application	PROPN
ejpam-5933	532	11	aux	aux	PROPN
ejpam-5933	532	12	équations	équations	PROPN
ejpam-5933	532	13	intégrales	intégrale	NOUN
ejpam-5933	532	14	.	.	PUNCT
ejpam-5933	533	1	fundamenta	fundamenta	PROPN
ejpam-5933	533	2	mathematicae	mathematicae	PROPN
ejpam-5933	533	3	,	,	PUNCT
ejpam-5933	533	4	3(1):133–181	3(1):133–181	NUM
ejpam-5933	533	5	,	,	PUNCT
ejpam-5933	533	6	1922	1922	NUM
ejpam-5933	533	7	.	.	PUNCT