id	sid	tid	token	lemma	pos
ejpam-5249	1	1	european	european	PROPN
ejpam-5249	1	2	journal	journal	PROPN
ejpam-5249	1	3	of	of	ADP
ejpam-5249	1	4	pure	pure	ADJ
ejpam-5249	1	5	and	and	CCONJ
ejpam-5249	1	6	applied	apply	VERB
ejpam-5249	1	7	mathematics	mathematic	NOUN
ejpam-5249	1	8	vol	vol	NOUN
ejpam-5249	1	9	.	.	PROPN
ejpam-5249	2	1	17	17	NUM
ejpam-5249	2	2	,	,	PUNCT
ejpam-5249	2	3	no	no	INTJ
ejpam-5249	2	4	.	.	NOUN
ejpam-5249	2	5	3	3	NUM
ejpam-5249	2	6	,	,	PUNCT
ejpam-5249	2	7	2024	2024	NUM
ejpam-5249	2	8	,	,	PUNCT
ejpam-5249	2	9	1908	1908	NUM
ejpam-5249	2	10	-	-	SYM
ejpam-5249	2	11	1936	1936	NUM
ejpam-5249	2	12	issn	issn	PROPN
ejpam-5249	2	13	1307	1307	NUM
ejpam-5249	2	14	-	-	SYM
ejpam-5249	2	15	5543	5543	NUM
ejpam-5249	2	16	–	–	PUNCT
ejpam-5249	2	17	ejpam.com	ejpam.com	X
ejpam-5249	2	18	published	publish	VERB
ejpam-5249	2	19	by	by	ADP
ejpam-5249	2	20	new	new	PROPN
ejpam-5249	2	21	york	york	PROPN
ejpam-5249	2	22	business	business	PROPN
ejpam-5249	2	23	global	global	PROPN
ejpam-5249	2	24	modeling	modeling	NOUN
ejpam-5249	2	25	rugose	rugose	NOUN
ejpam-5249	2	26	spiraling	spiral	VERB
ejpam-5249	2	27	whitefly	whitefly	NOUN
ejpam-5249	2	28	infestation	infestation	NOUN
ejpam-5249	2	29	on	on	ADP
ejpam-5249	2	30	coconut	coconut	NOUN
ejpam-5249	2	31	trees	tree	NOUN
ejpam-5249	2	32	using	use	VERB
ejpam-5249	2	33	delay	delay	NOUN
ejpam-5249	2	34	differential	differential	ADJ
ejpam-5249	2	35	equations	equation	NOUN
ejpam-5249	2	36	:	:	PUNCT
ejpam-5249	3	1	analysis	analysis	NOUN
ejpam-5249	3	2	via	via	ADP
ejpam-5249	3	3	hpm	hpm	PROPN
ejpam-5249	3	4	b.	b.	PROPN
ejpam-5249	3	5	dhivyadharshini1	dhivyadharshini1	PROPN
ejpam-5249	3	6	,	,	PUNCT
ejpam-5249	3	7	r.	r.	PROPN
ejpam-5249	3	8	senthamarai1	senthamarai1	PROPN
ejpam-5249	3	9	,	,	PUNCT
ejpam-5249	3	10	*	*	PROPN
ejpam-5249	3	11	1	1	NUM
ejpam-5249	3	12	department	department	NOUN
ejpam-5249	3	13	of	of	ADP
ejpam-5249	3	14	mathematics	mathematic	NOUN
ejpam-5249	3	15	,	,	PUNCT
ejpam-5249	3	16	college	college	NOUN
ejpam-5249	3	17	of	of	ADP
ejpam-5249	3	18	engineering	engineering	NOUN
ejpam-5249	3	19	and	and	CCONJ
ejpam-5249	3	20	technology	technology	NOUN
ejpam-5249	3	21	,	,	PUNCT
ejpam-5249	3	22	srm	srm	PROPN
ejpam-5249	3	23	institute	institute	PROPN
ejpam-5249	3	24	of	of	ADP
ejpam-5249	3	25	science	science	NOUN
ejpam-5249	3	26	and	and	CCONJ
ejpam-5249	3	27	technology	technology	NOUN
ejpam-5249	3	28	,	,	PUNCT
ejpam-5249	3	29	kattankulathur−603203	kattankulathur−603203	PROPN
ejpam-5249	3	30	,	,	PUNCT
ejpam-5249	3	31	tamilnadu	tamilnadu	NOUN
ejpam-5249	3	32	,	,	PUNCT
ejpam-5249	3	33	india	india	PROPN
ejpam-5249	3	34	abstract	abstract	NOUN
ejpam-5249	3	35	.	.	PUNCT
ejpam-5249	4	1	in	in	ADP
ejpam-5249	4	2	this	this	DET
ejpam-5249	4	3	paper	paper	NOUN
ejpam-5249	4	4	,	,	PUNCT
ejpam-5249	4	5	a	a	DET
ejpam-5249	4	6	delay	delay	NOUN
ejpam-5249	4	7	induced	induce	VERB
ejpam-5249	4	8	pest	pest	NOUN
ejpam-5249	4	9	control	control	NOUN
ejpam-5249	4	10	model	model	NOUN
ejpam-5249	4	11	is	be	AUX
ejpam-5249	4	12	proposed	propose	VERB
ejpam-5249	4	13	.	.	PUNCT
ejpam-5249	5	1	we	we	PRON
ejpam-5249	5	2	have	have	AUX
ejpam-5249	5	3	introduced	introduce	VERB
ejpam-5249	5	4	a	a	DET
ejpam-5249	5	5	time	time	NOUN
ejpam-5249	5	6	delay	delay	NOUN
ejpam-5249	5	7	in	in	ADP
ejpam-5249	5	8	healthy	healthy	ADJ
ejpam-5249	5	9	trees	tree	NOUN
ejpam-5249	5	10	and	and	CCONJ
ejpam-5249	5	11	whitefly	whitefly	VERB
ejpam-5249	5	12	population	population	NOUN
ejpam-5249	5	13	in	in	ADP
ejpam-5249	5	14	the	the	DET
ejpam-5249	5	15	infected	infected	ADJ
ejpam-5249	5	16	tree	tree	NOUN
ejpam-5249	5	17	density	density	NOUN
ejpam-5249	5	18	of	of	ADP
ejpam-5249	5	19	the	the	DET
ejpam-5249	5	20	proposed	propose	VERB
ejpam-5249	5	21	system	system	NOUN
ejpam-5249	5	22	of	of	ADP
ejpam-5249	5	23	equations	equation	NOUN
ejpam-5249	5	24	to	to	PART
ejpam-5249	5	25	reduce	reduce	VERB
ejpam-5249	5	26	the	the	DET
ejpam-5249	5	27	probability	probability	NOUN
ejpam-5249	5	28	of	of	ADP
ejpam-5249	5	29	healthy	healthy	ADJ
ejpam-5249	5	30	trees	tree	NOUN
ejpam-5249	5	31	becoming	becoming	AUX
ejpam-5249	5	32	infected	infect	VERB
ejpam-5249	5	33	,	,	PUNCT
ejpam-5249	5	34	as	as	ADV
ejpam-5249	5	35	well	well	ADV
ejpam-5249	5	36	as	as	ADP
ejpam-5249	5	37	the	the	DET
ejpam-5249	5	38	level	level	NOUN
ejpam-5249	5	39	of	of	ADP
ejpam-5249	5	40	infection	infection	NOUN
ejpam-5249	5	41	.	.	PUNCT
ejpam-5249	6	1	we	we	PRON
ejpam-5249	6	2	have	have	AUX
ejpam-5249	6	3	analyzed	analyze	VERB
ejpam-5249	6	4	the	the	DET
ejpam-5249	6	5	impact	impact	NOUN
ejpam-5249	6	6	of	of	ADP
ejpam-5249	6	7	time	time	NOUN
ejpam-5249	6	8	delay	delay	NOUN
ejpam-5249	6	9	on	on	ADP
ejpam-5249	6	10	the	the	DET
ejpam-5249	6	11	stability	stability	NOUN
ejpam-5249	6	12	of	of	ADP
ejpam-5249	6	13	the	the	DET
ejpam-5249	6	14	equilibrium	equilibrium	NOUN
ejpam-5249	6	15	and	and	CCONJ
ejpam-5249	6	16	establish	establish	VERB
ejpam-5249	6	17	requirements	requirement	NOUN
ejpam-5249	6	18	to	to	PART
ejpam-5249	6	19	verify	verify	VERB
ejpam-5249	6	20	its	its	PRON
ejpam-5249	6	21	asymptotic	asymptotic	ADJ
ejpam-5249	6	22	stability	stability	NOUN
ejpam-5249	6	23	over	over	ADP
ejpam-5249	6	24	all	all	DET
ejpam-5249	6	25	delays	delay	NOUN
ejpam-5249	6	26	.	.	PUNCT
ejpam-5249	7	1	the	the	DET
ejpam-5249	7	2	solutions	solution	NOUN
ejpam-5249	7	3	of	of	ADP
ejpam-5249	7	4	this	this	DET
ejpam-5249	7	5	system	system	NOUN
ejpam-5249	7	6	of	of	ADP
ejpam-5249	7	7	non	non	ADJ
ejpam-5249	7	8	-	-	ADJ
ejpam-5249	7	9	linear	linear	ADJ
ejpam-5249	7	10	ordinary	ordinary	ADJ
ejpam-5249	7	11	differential	differential	ADJ
ejpam-5249	7	12	equations(odes	equations(ode	NOUN
ejpam-5249	7	13	)	)	PUNCT
ejpam-5249	7	14	and	and	CCONJ
ejpam-5249	7	15	delay	delay	VERB
ejpam-5249	7	16	differential	differential	PROPN
ejpam-5249	7	17	equations(ddes	equations(dde	NOUN
ejpam-5249	7	18	)	)	PUNCT
ejpam-5249	7	19	are	be	AUX
ejpam-5249	7	20	presented	present	VERB
ejpam-5249	7	21	by	by	ADP
ejpam-5249	7	22	using	use	VERB
ejpam-5249	7	23	homotopy	homotopy	NOUN
ejpam-5249	7	24	perturbation	perturbation	NOUN
ejpam-5249	7	25	method(hpm	method(hpm	NOUN
ejpam-5249	7	26	)	)	PUNCT
ejpam-5249	7	27	.	.	PUNCT
ejpam-5249	8	1	numerical	numerical	PROPN
ejpam-5249	8	2	simulation	simulation	PROPN
ejpam-5249	8	3	is	be	AUX
ejpam-5249	8	4	also	also	ADV
ejpam-5249	8	5	obtained	obtain	VERB
ejpam-5249	8	6	for	for	ADP
ejpam-5249	8	7	the	the	DET
ejpam-5249	8	8	same	same	ADJ
ejpam-5249	8	9	model	model	NOUN
ejpam-5249	8	10	of	of	ADP
ejpam-5249	8	11	both	both	CCONJ
ejpam-5249	8	12	ode	ode	ADJ
ejpam-5249	8	13	and	and	CCONJ
ejpam-5249	8	14	dde	dde	PROPN
ejpam-5249	8	15	by	by	ADP
ejpam-5249	8	16	using	use	VERB
ejpam-5249	8	17	matlab	matlab	PROPN
ejpam-5249	8	18	software	software	NOUN
ejpam-5249	8	19	.	.	PUNCT
ejpam-5249	9	1	the	the	DET
ejpam-5249	9	2	proposed	propose	VERB
ejpam-5249	9	3	method	method	NOUN
ejpam-5249	9	4	works	work	VERB
ejpam-5249	9	5	very	very	ADV
ejpam-5249	9	6	well	well	ADV
ejpam-5249	9	7	and	and	CCONJ
ejpam-5249	9	8	is	be	AUX
ejpam-5249	9	9	easy	easy	ADJ
ejpam-5249	9	10	to	to	PART
ejpam-5249	9	11	use	use	VERB
ejpam-5249	9	12	,	,	PUNCT
ejpam-5249	9	13	as	as	SCONJ
ejpam-5249	9	14	shown	show	VERB
ejpam-5249	9	15	by	by	ADP
ejpam-5249	9	16	these	these	DET
ejpam-5249	9	17	findings	finding	NOUN
ejpam-5249	9	18	.	.	PUNCT
ejpam-5249	10	1	our	our	PRON
ejpam-5249	10	2	aim	aim	NOUN
ejpam-5249	10	3	is	be	AUX
ejpam-5249	10	4	to	to	PART
ejpam-5249	10	5	control	control	VERB
ejpam-5249	10	6	the	the	DET
ejpam-5249	10	7	spread	spread	NOUN
ejpam-5249	10	8	of	of	ADP
ejpam-5249	10	9	whitefly	whitefly	NOUN
ejpam-5249	10	10	such	such	ADJ
ejpam-5249	10	11	that	that	DET
ejpam-5249	10	12	harvest	harvest	NOUN
ejpam-5249	10	13	is	be	AUX
ejpam-5249	10	14	not	not	PART
ejpam-5249	10	15	affected	affect	VERB
ejpam-5249	10	16	.	.	PUNCT
ejpam-5249	11	1	2020	2020	NUM
ejpam-5249	11	2	mathematics	mathematic	NOUN
ejpam-5249	11	3	subject	subject	NOUN
ejpam-5249	11	4	classifications	classification	NOUN
ejpam-5249	11	5	:	:	PUNCT
ejpam-5249	11	6	65l05	65l05	NUM
ejpam-5249	11	7	,	,	PUNCT
ejpam-5249	11	8	34a34	34a34	NUM
ejpam-5249	11	9	,	,	PUNCT
ejpam-5249	11	10	92d45	92d45	NUM
ejpam-5249	11	11	,	,	PUNCT
ejpam-5249	11	12	37n25	37n25	NUM
ejpam-5249	11	13	,	,	PUNCT
ejpam-5249	11	14	92d25	92d25	NUM
ejpam-5249	11	15	key	key	ADJ
ejpam-5249	11	16	words	word	NOUN
ejpam-5249	11	17	and	and	CCONJ
ejpam-5249	11	18	phrases	phrase	NOUN
ejpam-5249	11	19	:	:	PUNCT
ejpam-5249	11	20	pest	pest	VERB
ejpam-5249	11	21	control	control	NOUN
ejpam-5249	11	22	model	model	NOUN
ejpam-5249	11	23	,	,	PUNCT
ejpam-5249	11	24	non	non	ADJ
ejpam-5249	11	25	linear	linear	PROPN
ejpam-5249	11	26	differential	differential	NOUN
ejpam-5249	11	27	equation	equation	NOUN
ejpam-5249	11	28	,	,	PUNCT
ejpam-5249	11	29	delay	delay	NOUN
ejpam-5249	11	30	differential	differential	ADJ
ejpam-5249	11	31	equation	equation	NOUN
ejpam-5249	11	32	,	,	PUNCT
ejpam-5249	11	33	homotopy	homotopy	VERB
ejpam-5249	11	34	perturbation	perturbation	NOUN
ejpam-5249	11	35	method	method	NOUN
ejpam-5249	11	36	,	,	PUNCT
ejpam-5249	11	37	numerical	numerical	PROPN
ejpam-5249	11	38	simulation	simulation	PROPN
ejpam-5249	11	39	.	.	PUNCT
ejpam-5249	12	1	1	1	X
ejpam-5249	12	2	.	.	X
ejpam-5249	12	3	introduction	introduction	NOUN
ejpam-5249	12	4	rugose	rugose	NOUN
ejpam-5249	12	5	spiralling	spiral	VERB
ejpam-5249	12	6	whitefly	whitefly	NOUN
ejpam-5249	12	7	(	(	PUNCT
ejpam-5249	12	8	rsw	rsw	PROPN
ejpam-5249	12	9	)	)	PUNCT
ejpam-5249	12	10	is	be	AUX
ejpam-5249	12	11	a	a	PRON
ejpam-5249	12	12	highly	highly	ADV
ejpam-5249	12	13	polyphagous	polyphagous	ADJ
ejpam-5249	12	14	and	and	CCONJ
ejpam-5249	12	15	recently	recently	ADV
ejpam-5249	12	16	introduced	introduce	VERB
ejpam-5249	12	17	which	which	PRON
ejpam-5249	12	18	is	be	AUX
ejpam-5249	12	19	thought	think	VERB
ejpam-5249	12	20	to	to	PART
ejpam-5249	12	21	have	have	AUX
ejpam-5249	12	22	first	first	ADV
ejpam-5249	12	23	appeared	appear	VERB
ejpam-5249	12	24	in	in	ADP
ejpam-5249	12	25	central	central	PROPN
ejpam-5249	12	26	america	america	PROPN
ejpam-5249	12	27	.	.	PUNCT
ejpam-5249	13	1	its	its	PRON
ejpam-5249	13	2	presence	presence	NOUN
ejpam-5249	13	3	is	be	AUX
ejpam-5249	13	4	confined	confine	VERB
ejpam-5249	13	5	to	to	ADP
ejpam-5249	13	6	belize	belize	PROPN
ejpam-5249	13	7	,	,	PUNCT
ejpam-5249	13	8	mexico	mexico	PROPN
ejpam-5249	13	9	,	,	PUNCT
ejpam-5249	13	10	guatemala	guatemala	PROPN
ejpam-5249	13	11	,	,	PUNCT
ejpam-5249	13	12	and	and	CCONJ
ejpam-5249	13	13	florida	florida	PROPN
ejpam-5249	13	14	in	in	ADP
ejpam-5249	13	15	central	central	ADJ
ejpam-5249	13	16	and	and	CCONJ
ejpam-5249	13	17	north	north	NOUN
ejpam-5249	13	18	america	america	PROPN
ejpam-5249	13	19	,	,	PUNCT
ejpam-5249	13	20	and	and	CCONJ
ejpam-5249	13	21	it	it	PRON
ejpam-5249	13	22	has	have	AUX
ejpam-5249	13	23	extended	extend	VERB
ejpam-5249	13	24	to	to	ADP
ejpam-5249	13	25	neighbouring	neighbouring	ADJ
ejpam-5249	13	26	countries	country	NOUN
ejpam-5249	13	27	in	in	ADP
ejpam-5249	13	28	the	the	DET
ejpam-5249	13	29	oriental	oriental	ADJ
ejpam-5249	13	30	region	region	NOUN
ejpam-5249	13	31	which	which	PRON
ejpam-5249	13	32	rise	rise	VERB
ejpam-5249	13	33	coconuts	coconut	NOUN
ejpam-5249	13	34	.	.	PUNCT
ejpam-5249	14	1	martin	martin	PROPN
ejpam-5249	14	2	originally	originally	ADV
ejpam-5249	14	3	introduced	introduce	VERB
ejpam-5249	14	4	rsw	rsw	PROPN
ejpam-5249	14	5	in	in	ADP
ejpam-5249	14	6	2004	2004	NUM
ejpam-5249	14	7	using	use	VERB
ejpam-5249	14	8	samples	sample	NOUN
ejpam-5249	14	9	gathered	gather	VERB
ejpam-5249	14	10	from	from	ADP
ejpam-5249	14	11	the	the	DET
ejpam-5249	14	12	leaves	leave	NOUN
ejpam-5249	14	13	of	of	ADP
ejpam-5249	14	14	coconut	coconut	NOUN
ejpam-5249	14	15	palms	palm	NOUN
ejpam-5249	14	16	in	in	ADP
ejpam-5249	14	17	belize	belize	NOUN
ejpam-5249	14	18	[	[	X
ejpam-5249	14	19	11	11	NUM
ejpam-5249	14	20	]	]	PUNCT
ejpam-5249	14	21	.	.	PUNCT
ejpam-5249	15	1	in	in	ADP
ejpam-5249	15	2	india	india	PROPN
ejpam-5249	15	3	rsw	rsw	PROPN
ejpam-5249	15	4	has	have	AUX
ejpam-5249	15	5	established	establish	VERB
ejpam-5249	15	6	its	its	PRON
ejpam-5249	15	7	presence	presence	NOUN
ejpam-5249	15	8	in	in	ADP
ejpam-5249	15	9	kerala	kerala	PROPN
ejpam-5249	15	10	(	(	PUNCT
ejpam-5249	15	11	palakkad	palakkad	PROPN
ejpam-5249	15	12	,	,	PUNCT
ejpam-5249	15	13	malappuram	malappuram	PROPN
ejpam-5249	15	14	,	,	PUNCT
ejpam-5249	15	15	thrissur	thrissur	PROPN
ejpam-5249	15	16	,	,	PUNCT
ejpam-5249	15	17	idukki	idukki	PROPN
ejpam-5249	15	18	,	,	PUNCT
ejpam-5249	15	19	kozhikode	kozhikode	NOUN
ejpam-5249	15	20	,	,	PUNCT
ejpam-5249	15	21	kannur	kannur	PROPN
ejpam-5249	15	22	,	,	PUNCT
ejpam-5249	15	23	ernakulam	ernakulam	PROPN
ejpam-5249	15	24	,	,	PUNCT
ejpam-5249	15	25	kasaragod	kasaragod	NOUN
ejpam-5249	15	26	,	,	PUNCT
ejpam-5249	15	27	pathanamthitta	pathanamthitta	NOUN
ejpam-5249	15	28	,	,	PUNCT
ejpam-5249	15	29	alappuzha	alappuzha	PROPN
ejpam-5249	15	30	,	,	PUNCT
ejpam-5249	15	31	kollam	kollam	PROPN
ejpam-5249	15	32	,	,	PUNCT
ejpam-5249	15	33	and	and	CCONJ
ejpam-5249	15	34	thiruvananthapuram	thiruvananthapuram	NOUN
ejpam-5249	15	35	districts	district	NOUN
ejpam-5249	15	36	)	)	PUNCT
ejpam-5249	15	37	,	,	PUNCT
ejpam-5249	15	38	tamil	tamil	PROPN
ejpam-5249	15	39	nadu	nadu	PROPN
ejpam-5249	15	40	(	(	PUNCT
ejpam-5249	15	41	pollachi	pollachi	NOUN
ejpam-5249	15	42	and	and	CCONJ
ejpam-5249	15	43	pattukottai	pattukottai	PROPN
ejpam-5249	15	44	)	)	PUNCT
ejpam-5249	15	45	,	,	PUNCT
ejpam-5249	15	46	karnataka	karnataka	PROPN
ejpam-5249	15	47	(	(	PUNCT
ejpam-5249	15	48	udupi	udupi	NOUN
ejpam-5249	15	49	)	)	PUNCT
ejpam-5249	15	50	,	,	PUNCT
ejpam-5249	15	51	and	and	CCONJ
ejpam-5249	15	52	secluded	secluded	ADJ
ejpam-5249	15	53	areas	area	NOUN
ejpam-5249	15	54	of	of	ADP
ejpam-5249	15	55	andhra	andhra	PROPN
ejpam-5249	15	56	pradesh	pradesh	PROPN
ejpam-5249	15	57	(	(	PUNCT
ejpam-5249	15	58	kadiyam	kadiyam	PROPN
ejpam-5249	15	59	)	)	PUNCT
ejpam-5249	15	60	have	have	AUX
ejpam-5249	15	61	seen	see	VERB
ejpam-5249	15	62	its	its	PRON
ejpam-5249	15	63	expansion	expansion	NOUN
ejpam-5249	15	64	during	during	ADP
ejpam-5249	15	65	a	a	DET
ejpam-5249	15	66	six−month	six−month	ADJ
ejpam-5249	15	67	period	period	NOUN
ejpam-5249	15	68	(	(	PUNCT
ejpam-5249	15	69	august	august	PROPN
ejpam-5249	15	70	2016	2016	NUM
ejpam-5249	15	71	−	−	PROPN
ejpam-5249	15	72	january	january	PROPN
ejpam-5249	15	73	2017	2017	NUM
ejpam-5249	15	74	)	)	PUNCT
ejpam-5249	16	1	[	[	X
ejpam-5249	16	2	6	6	NUM
ejpam-5249	16	3	]	]	PUNCT
ejpam-5249	16	4	.	.	PUNCT
ejpam-5249	17	1	rsw	rsw	PROPN
ejpam-5249	17	2	was	be	AUX
ejpam-5249	17	3	initially	initially	ADV
ejpam-5249	17	4	discovered	discover	VERB
ejpam-5249	17	5	on	on	ADP
ejpam-5249	17	6	coconut	coconut	NOUN
ejpam-5249	17	7	palm	palm	NOUN
ejpam-5249	17	8	leaves	leave	NOUN
ejpam-5249	17	9	in	in	ADP
ejpam-5249	17	10	the	the	DET
ejpam-5249	17	11	coimbatore	coimbatore	NOUN
ejpam-5249	17	12	district	district	NOUN
ejpam-5249	17	13	of	of	ADP
ejpam-5249	17	14	tamil	tamil	PROPN
ejpam-5249	17	15	nadu	nadu	NOUN
ejpam-5249	18	1	[	[	X
ejpam-5249	18	2	22]−[26	22]−[26	NUM
ejpam-5249	18	3	]	]	PUNCT
ejpam-5249	18	4	.	.	PUNCT
ejpam-5249	19	1	it	it	PRON
ejpam-5249	19	2	was	be	AUX
ejpam-5249	19	3	then	then	ADV
ejpam-5249	19	4	appeared	appear	VERB
ejpam-5249	19	5	on	on	ADP
ejpam-5249	19	6	several	several	ADJ
ejpam-5249	19	7	plants	plant	NOUN
ejpam-5249	19	8	,	,	PUNCT
ejpam-5249	19	9	namely	namely	ADV
ejpam-5249	19	10	monocots	monocot	NOUN
ejpam-5249	19	11	and	and	CCONJ
ejpam-5249	19	12	dicots	dicot	NOUN
ejpam-5249	19	13	,	,	PUNCT
ejpam-5249	19	14	in	in	ADP
ejpam-5249	19	15	karnataka	karnataka	PROPN
ejpam-5249	19	16	,	,	PUNCT
ejpam-5249	19	17	kerala	kerala	PROPN
ejpam-5249	19	18	,	,	PUNCT
ejpam-5249	19	19	andhra	andhra	PROPN
ejpam-5249	19	20	pradesh	pradesh	PROPN
ejpam-5249	19	21	,	,	PUNCT
ejpam-5249	19	22	and	and	CCONJ
ejpam-5249	19	23	assam	assam	PROPN
ejpam-5249	19	24	.	.	PUNCT
ejpam-5249	20	1	one	one	NUM
ejpam-5249	20	2	of	of	ADP
ejpam-5249	20	3	the	the	DET
ejpam-5249	20	4	most	most	ADV
ejpam-5249	20	5	significant	significant	ADJ
ejpam-5249	20	6	palm	palm	NOUN
ejpam-5249	20	7	crops	crop	NOUN
ejpam-5249	20	8	in	in	ADP
ejpam-5249	20	9	tropical	tropical	ADJ
ejpam-5249	20	10	,	,	PUNCT
ejpam-5249	20	11	subtropical	subtropical	ADJ
ejpam-5249	20	12	,	,	PUNCT
ejpam-5249	20	13	and	and	CCONJ
ejpam-5249	20	14	warm	warm	ADJ
ejpam-5249	20	15	∗corresponding	∗corresponding	NOUN
ejpam-5249	20	16	author	author	NOUN
ejpam-5249	20	17	.	.	PUNCT
ejpam-5249	21	1	doi	doi	PROPN
ejpam-5249	21	2	:	:	PUNCT
ejpam-5249	21	3	https://doi.org/10.29020/nybg.ejpam.v17i3.5249	https://doi.org/10.29020/nybg.ejpam.v17i3.5249	PROPN
ejpam-5249	21	4	email	email	NOUN
ejpam-5249	21	5	addresses	address	NOUN
ejpam-5249	21	6	:	:	PUNCT
ejpam-5249	21	7	senthamr@srmist.edu.in	senthamr@srmist.edu.in	NOUN
ejpam-5249	21	8	(	(	PUNCT
ejpam-5249	21	9	r.	r.	NOUN
ejpam-5249	21	10	senthamarai	senthamarai	PROPN
ejpam-5249	21	11	)	)	PUNCT
ejpam-5249	21	12	,	,	PUNCT
ejpam-5249	21	13	db0558@srmist.edu.in	db0558@srmist.edu.in	X
ejpam-5249	21	14	(	(	PUNCT
ejpam-5249	21	15	b.	b.	PROPN
ejpam-5249	21	16	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	21	17	)	)	PUNCT
ejpam-5249	21	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5249	21	19	1908	1908	NUM
ejpam-5249	22	1	©	©	ADP
ejpam-5249	22	2	2024	2024	NUM
ejpam-5249	22	3	ejpam	ejpam	NOUN
ejpam-5249	22	4	all	all	DET
ejpam-5249	22	5	rights	right	NOUN
ejpam-5249	22	6	reserved	reserve	VERB
ejpam-5249	22	7	.	.	PUNCT
ejpam-5249	23	1	b.	b.	PROPN
ejpam-5249	23	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	23	3	,	,	PUNCT
ejpam-5249	23	4	r.	r.	PROPN
ejpam-5249	23	5	senthamarai	senthamarai	PROPN
ejpam-5249	23	6	/	/	SYM
ejpam-5249	23	7	eur	eur	PROPN
ejpam-5249	23	8	.	.	PUNCT
ejpam-5249	24	1	j.	j.	PROPN
ejpam-5249	24	2	pure	pure	PROPN
ejpam-5249	24	3	appl	appl	PROPN
ejpam-5249	24	4	.	.	PROPN
ejpam-5249	24	5	math	math	PROPN
ejpam-5249	24	6	,	,	PUNCT
ejpam-5249	24	7	17	17	NUM
ejpam-5249	24	8	(	(	PUNCT
ejpam-5249	24	9	3	3	NUM
ejpam-5249	24	10	)	)	PUNCT
ejpam-5249	24	11	(	(	PUNCT
ejpam-5249	24	12	2024	2024	NUM
ejpam-5249	24	13	)	)	PUNCT
ejpam-5249	24	14	,	,	PUNCT
ejpam-5249	24	15	1908	1908	NUM
ejpam-5249	24	16	-	-	SYM
ejpam-5249	24	17	1936	1936	NUM
ejpam-5249	24	18	1909	1909	NUM
ejpam-5249	24	19	temperate	temperate	ADJ
ejpam-5249	24	20	regions	region	NOUN
ejpam-5249	24	21	is	be	AUX
ejpam-5249	24	22	the	the	DET
ejpam-5249	24	23	coconut	coconut	NOUN
ejpam-5249	24	24	(	(	PUNCT
ejpam-5249	24	25	cocos	cocos	PROPN
ejpam-5249	24	26	nucifera	nucifera	NOUN
ejpam-5249	24	27	)	)	PUNCT
ejpam-5249	24	28	.	.	PUNCT
ejpam-5249	25	1	it	it	PRON
ejpam-5249	25	2	is	be	AUX
ejpam-5249	25	3	commonly	commonly	ADV
ejpam-5249	25	4	known	know	VERB
ejpam-5249	25	5	as	as	ADP
ejpam-5249	25	6	the	the	DET
ejpam-5249	25	7	“	"	PUNCT
ejpam-5249	25	8	tree	tree	NOUN
ejpam-5249	25	9	of	of	ADP
ejpam-5249	25	10	heaven	heaven	PROPN
ejpam-5249	25	11	”	"	PUNCT
ejpam-5249	25	12	or	or	CCONJ
ejpam-5249	25	13	“	"	PUNCT
ejpam-5249	25	14	kalpavriksha	kalpavriksha	PROPN
ejpam-5249	25	15	”	"	PUNCT
ejpam-5249	25	16	due	due	ADP
ejpam-5249	25	17	to	to	ADP
ejpam-5249	25	18	the	the	DET
ejpam-5249	25	19	fact	fact	NOUN
ejpam-5249	25	20	that	that	SCONJ
ejpam-5249	25	21	it	it	PRON
ejpam-5249	25	22	offers	offer	VERB
ejpam-5249	25	23	a	a	DET
ejpam-5249	25	24	wider	wide	ADJ
ejpam-5249	25	25	range	range	NOUN
ejpam-5249	25	26	of	of	ADP
ejpam-5249	25	27	beneficial	beneficial	ADJ
ejpam-5249	25	28	products	product	NOUN
ejpam-5249	25	29	to	to	ADP
ejpam-5249	25	30	the	the	DET
ejpam-5249	25	31	public	public	NOUN
ejpam-5249	25	32	.	.	PUNCT
ejpam-5249	26	1	more	more	ADJ
ejpam-5249	26	2	than	than	ADP
ejpam-5249	26	3	90	90	NUM
ejpam-5249	26	4	countries	country	NOUN
ejpam-5249	26	5	,	,	PUNCT
ejpam-5249	26	6	mostly	mostly	ADV
ejpam-5249	26	7	in	in	ADP
ejpam-5249	26	8	asia	asia	PROPN
ejpam-5249	26	9	,	,	PUNCT
ejpam-5249	26	10	grow	grow	VERB
ejpam-5249	26	11	coconuts	coconut	NOUN
ejpam-5249	26	12	.	.	PUNCT
ejpam-5249	27	1	covering	cover	VERB
ejpam-5249	27	2	an	an	DET
ejpam-5249	27	3	area	area	NOUN
ejpam-5249	27	4	of	of	ADP
ejpam-5249	27	5	12	12	NUM
ejpam-5249	27	6	million	million	NUM
ejpam-5249	27	7	hectares	hectare	NOUN
ejpam-5249	27	8	,	,	PUNCT
ejpam-5249	27	9	the	the	DET
ejpam-5249	27	10	pacific	pacific	PROPN
ejpam-5249	27	11	islands	islands	PROPN
ejpam-5249	27	12	and	and	CCONJ
ejpam-5249	27	13	south	south	PROPN
ejpam-5249	27	14	america	america	PROPN
ejpam-5249	27	15	are	be	AUX
ejpam-5249	27	16	predicted	predict	VERB
ejpam-5249	27	17	to	to	PART
ejpam-5249	27	18	produce	produce	VERB
ejpam-5249	27	19	70	70	NUM
ejpam-5249	27	20	billion	billion	NUM
ejpam-5249	27	21	nuts	nut	NOUN
ejpam-5249	27	22	annually	annually	ADV
ejpam-5249	27	23	.	.	PUNCT
ejpam-5249	28	1	approximately	approximately	ADV
ejpam-5249	28	2	50	50	NUM
ejpam-5249	28	3	%	%	NOUN
ejpam-5249	28	4	of	of	ADP
ejpam-5249	28	5	its	its	PRON
ejpam-5249	28	6	yearly	yearly	ADJ
ejpam-5249	28	7	production	production	NOUN
ejpam-5249	28	8	is	be	AUX
ejpam-5249	28	9	used	use	VERB
ejpam-5249	28	10	in	in	ADP
ejpam-5249	28	11	india	india	PROPN
ejpam-5249	28	12	.	.	PUNCT
ejpam-5249	29	1	many	many	ADJ
ejpam-5249	29	2	pests	pest	NOUN
ejpam-5249	29	3	present	present	ADJ
ejpam-5249	29	4	and	and	CCONJ
ejpam-5249	29	5	create	create	VERB
ejpam-5249	29	6	different	different	ADJ
ejpam-5249	29	7	kinds	kind	NOUN
ejpam-5249	29	8	of	of	ADP
ejpam-5249	29	9	problems	problem	NOUN
ejpam-5249	29	10	when	when	SCONJ
ejpam-5249	29	11	growing	grow	VERB
ejpam-5249	29	12	these	these	DET
ejpam-5249	29	13	coconut	coconut	NOUN
ejpam-5249	29	14	trees	tree	NOUN
ejpam-5249	29	15	.	.	PUNCT
ejpam-5249	30	1	in	in	ADP
ejpam-5249	30	2	august	august	PROPN
ejpam-5249	30	3	of	of	ADP
ejpam-5249	30	4	2016	2016	NUM
ejpam-5249	30	5	,	,	PUNCT
ejpam-5249	30	6	reports	report	NOUN
ejpam-5249	30	7	of	of	ADP
ejpam-5249	30	8	the	the	DET
ejpam-5249	30	9	dangerous	dangerous	ADJ
ejpam-5249	30	10	invasive	invasive	ADJ
ejpam-5249	30	11	pest	pest	NOUN
ejpam-5249	30	12	on	on	ADP
ejpam-5249	30	13	coconuts	coconut	NOUN
ejpam-5249	30	14	(	(	PUNCT
ejpam-5249	30	15	cocos	cocos	PROPN
ejpam-5249	30	16	nucifera	nucifera	PROPN
ejpam-5249	30	17	l.	l.	PROPN
ejpam-5249	30	18	)	)	PUNCT
ejpam-5249	30	19	have	have	AUX
ejpam-5249	30	20	been	be	AUX
ejpam-5249	30	21	detected	detect	VERB
ejpam-5249	30	22	in	in	ADP
ejpam-5249	30	23	pollachi	pollachi	NOUN
ejpam-5249	30	24	,	,	PUNCT
ejpam-5249	30	25	tamil	tamil	PROPN
ejpam-5249	30	26	nadu	nadu	PROPN
ejpam-5249	30	27	,	,	PUNCT
ejpam-5249	30	28	india	india	PROPN
ejpam-5249	31	1	[	[	X
ejpam-5249	31	2	22]−[26	22]−[26	NUM
ejpam-5249	31	3	]	]	X
ejpam-5249	31	4	.	.	PUNCT
ejpam-5249	32	1	in	in	ADP
ejpam-5249	32	2	south	south	PROPN
ejpam-5249	32	3	india	india	PROPN
ejpam-5249	32	4	’s	’s	PART
ejpam-5249	32	5	coconut	coconut	NOUN
ejpam-5249	32	6	and	and	CCONJ
ejpam-5249	32	7	oil	oil	NOUN
ejpam-5249	32	8	palm	palm	NOUN
ejpam-5249	32	9	growing	grow	VERB
ejpam-5249	32	10	regions	region	NOUN
ejpam-5249	32	11	,	,	PUNCT
ejpam-5249	32	12	the	the	DET
ejpam-5249	32	13	pest	pest	NOUN
ejpam-5249	32	14	’s	’s	PART
ejpam-5249	32	15	entrance	entrance	NOUN
ejpam-5249	32	16	has	have	AUX
ejpam-5249	32	17	been	be	AUX
ejpam-5249	32	18	taken	take	VERB
ejpam-5249	32	19	severely	severely	ADV
ejpam-5249	32	20	due	due	ADP
ejpam-5249	32	21	to	to	ADP
ejpam-5249	32	22	its	its	PRON
ejpam-5249	32	23	polyphagous	polyphagous	ADJ
ejpam-5249	32	24	nature	nature	NOUN
ejpam-5249	32	25	and	and	CCONJ
ejpam-5249	32	26	ability	ability	NOUN
ejpam-5249	32	27	to	to	PART
ejpam-5249	32	28	consume	consume	VERB
ejpam-5249	32	29	over	over	ADP
ejpam-5249	32	30	200	200	NUM
ejpam-5249	32	31	host	host	NOUN
ejpam-5249	32	32	plants	plant	NOUN
ejpam-5249	32	33	.	.	PUNCT
ejpam-5249	33	1	because	because	SCONJ
ejpam-5249	33	2	of	of	ADP
ejpam-5249	33	3	the	the	DET
ejpam-5249	33	4	way	way	NOUN
ejpam-5249	33	5	this	this	DET
ejpam-5249	33	6	whitefly	whitefly	NOUN
ejpam-5249	33	7	feeds	feed	VERB
ejpam-5249	33	8	,	,	PUNCT
ejpam-5249	33	9	the	the	DET
ejpam-5249	33	10	leaves	leave	NOUN
ejpam-5249	33	11	lose	lose	VERB
ejpam-5249	33	12	water	water	NOUN
ejpam-5249	33	13	and	and	CCONJ
ejpam-5249	33	14	nutrients	nutrient	NOUN
ejpam-5249	33	15	.	.	PUNCT
ejpam-5249	34	1	this	this	PRON
ejpam-5249	34	2	has	have	VERB
ejpam-5249	34	3	an	an	DET
ejpam-5249	34	4	impact	impact	NOUN
ejpam-5249	34	5	on	on	ADP
ejpam-5249	34	6	the	the	DET
ejpam-5249	34	7	host	host	NOUN
ejpam-5249	34	8	tree	tree	NOUN
ejpam-5249	34	9	.	.	PUNCT
ejpam-5249	35	1	additionally	additionally	ADV
ejpam-5249	35	2	,	,	PUNCT
ejpam-5249	35	3	it	it	PRON
ejpam-5249	35	4	departure	departure	NOUN
ejpam-5249	35	5	behind	behind	ADP
ejpam-5249	35	6	sooty	sooty	NOUN
ejpam-5249	35	7	mould	mould	NOUN
ejpam-5249	35	8	,	,	PUNCT
ejpam-5249	35	9	which	which	PRON
ejpam-5249	35	10	envelops	envelop	VERB
ejpam-5249	35	11	the	the	DET
ejpam-5249	35	12	leaf	leaf	NOUN
ejpam-5249	35	13	surface	surface	NOUN
ejpam-5249	35	14	and	and	CCONJ
ejpam-5249	35	15	may	may	AUX
ejpam-5249	35	16	inhibit	inhibit	VERB
ejpam-5249	35	17	photosynthesis	photosynthesis	NOUN
ejpam-5249	35	18	,	,	PUNCT
ejpam-5249	35	19	so	so	ADV
ejpam-5249	35	20	affecting	affect	VERB
ejpam-5249	35	21	the	the	DET
ejpam-5249	35	22	production	production	NOUN
ejpam-5249	35	23	and	and	CCONJ
ejpam-5249	35	24	growth	growth	NOUN
ejpam-5249	35	25	[	[	X
ejpam-5249	35	26	12	12	NUM
ejpam-5249	35	27	]	]	PUNCT
ejpam-5249	35	28	.	.	PUNCT
ejpam-5249	36	1	it	it	PRON
ejpam-5249	36	2	has	have	AUX
ejpam-5249	36	3	been	be	AUX
ejpam-5249	36	4	explained	explain	VERB
ejpam-5249	36	5	how	how	SCONJ
ejpam-5249	36	6	mathematical	mathematical	ADJ
ejpam-5249	36	7	models	model	NOUN
ejpam-5249	36	8	are	be	AUX
ejpam-5249	36	9	developed	develop	VERB
ejpam-5249	36	10	and	and	CCONJ
ejpam-5249	36	11	used	use	VERB
ejpam-5249	36	12	in	in	ADP
ejpam-5249	36	13	epidemiology	epidemiology	NOUN
ejpam-5249	36	14	[	[	X
ejpam-5249	36	15	2	2	NUM
ejpam-5249	36	16	]	]	PUNCT
ejpam-5249	36	17	.	.	PUNCT
ejpam-5249	37	1	in	in	ADP
ejpam-5249	37	2	agriculture	agriculture	NOUN
ejpam-5249	37	3	,	,	PUNCT
ejpam-5249	37	4	pest	pest	NOUN
ejpam-5249	37	5	control	control	NOUN
ejpam-5249	37	6	is	be	AUX
ejpam-5249	37	7	essential	essential	ADJ
ejpam-5249	37	8	for	for	ADP
ejpam-5249	37	9	producing	produce	VERB
ejpam-5249	37	10	healthy	healthy	ADJ
ejpam-5249	37	11	,	,	PUNCT
ejpam-5249	37	12	high	high	ADJ
ejpam-5249	37	13	-	-	PUNCT
ejpam-5249	37	14	yield	yield	NOUN
ejpam-5249	37	15	crops	crop	NOUN
ejpam-5249	38	1	[	[	X
ejpam-5249	38	2	18	18	NUM
ejpam-5249	38	3	]	]	PUNCT
ejpam-5249	38	4	.	.	PUNCT
ejpam-5249	39	1	the	the	DET
ejpam-5249	39	2	ecology	ecology	NOUN
ejpam-5249	39	3	of	of	ADP
ejpam-5249	39	4	pest	pest	NOUN
ejpam-5249	39	5	control	control	NOUN
ejpam-5249	39	6	is	be	AUX
ejpam-5249	39	7	complicated	complicate	VERB
ejpam-5249	39	8	,	,	PUNCT
ejpam-5249	39	9	involving	involve	VERB
ejpam-5249	39	10	complex	complex	ADJ
ejpam-5249	39	11	interactions	interaction	NOUN
ejpam-5249	39	12	between	between	ADP
ejpam-5249	39	13	plants	plant	NOUN
ejpam-5249	39	14	,	,	PUNCT
ejpam-5249	39	15	pests	pest	NOUN
ejpam-5249	39	16	,	,	PUNCT
ejpam-5249	39	17	natural	natural	ADJ
ejpam-5249	39	18	enemies	enemy	NOUN
ejpam-5249	39	19	,	,	PUNCT
ejpam-5249	39	20	other	other	ADJ
ejpam-5249	39	21	living	living	NOUN
ejpam-5249	39	22	things	thing	NOUN
ejpam-5249	39	23	,	,	PUNCT
ejpam-5249	39	24	and	and	CCONJ
ejpam-5249	39	25	the	the	DET
ejpam-5249	39	26	surrounding	surround	VERB
ejpam-5249	39	27	environment	environment	NOUN
ejpam-5249	39	28	.	.	PUNCT
ejpam-5249	40	1	for	for	ADP
ejpam-5249	40	2	the	the	DET
ejpam-5249	40	3	african	african	ADJ
ejpam-5249	40	4	cassava	cassava	NOUN
ejpam-5249	40	5	mosaic	mosaic	PROPN
ejpam-5249	40	6	virus	virus	NOUN
ejpam-5249	40	7	disease	disease	NOUN
ejpam-5249	40	8	(	(	PUNCT
ejpam-5249	40	9	acmd	acmd	PROPN
ejpam-5249	40	10	)	)	PUNCT
ejpam-5249	40	11	,	,	PUNCT
ejpam-5249	40	12	the	the	DET
ejpam-5249	40	13	dynamics	dynamic	NOUN
ejpam-5249	40	14	of	of	ADP
ejpam-5249	40	15	plant	plant	NOUN
ejpam-5249	40	16	and	and	CCONJ
ejpam-5249	40	17	vector	vector	NOUN
ejpam-5249	40	18	populations	population	NOUN
ejpam-5249	40	19	within	within	ADP
ejpam-5249	40	20	a	a	DET
ejpam-5249	40	21	region	region	NOUN
ejpam-5249	40	22	have	have	AUX
ejpam-5249	40	23	been	be	AUX
ejpam-5249	40	24	investigated	investigate	VERB
ejpam-5249	40	25	.	.	PUNCT
ejpam-5249	41	1	a	a	DET
ejpam-5249	41	2	class	class	NOUN
ejpam-5249	41	3	of	of	ADP
ejpam-5249	41	4	models	model	NOUN
ejpam-5249	41	5	that	that	PRON
ejpam-5249	41	6	connects	connect	VERB
ejpam-5249	41	7	virus	virus	NOUN
ejpam-5249	41	8	epidemiology	epidemiology	NOUN
ejpam-5249	41	9	with	with	ADP
ejpam-5249	41	10	vector	vector	NOUN
ejpam-5249	41	11	dynamics	dynamic	NOUN
ejpam-5249	41	12	for	for	ADP
ejpam-5249	41	13	acmd	acmd	NOUN
ejpam-5249	41	14	has	have	AUX
ejpam-5249	41	15	not	not	PART
ejpam-5249	41	16	yet	yet	ADV
ejpam-5249	41	17	been	be	AUX
ejpam-5249	41	18	utilised	utilise	VERB
ejpam-5249	41	19	,	,	PUNCT
ejpam-5249	41	20	and	and	CCONJ
ejpam-5249	41	21	it	it	PRON
ejpam-5249	41	22	is	be	AUX
ejpam-5249	41	23	based	base	VERB
ejpam-5249	41	24	on	on	ADP
ejpam-5249	41	25	a	a	DET
ejpam-5249	41	26	differential	differential	ADJ
ejpam-5249	41	27	equation	equation	NOUN
ejpam-5249	41	28	system	system	NOUN
ejpam-5249	42	1	[	[	X
ejpam-5249	42	2	16	16	NUM
ejpam-5249	42	3	]	]	PUNCT
ejpam-5249	42	4	.	.	PUNCT
ejpam-5249	43	1	the	the	DET
ejpam-5249	43	2	effect	effect	NOUN
ejpam-5249	43	3	of	of	ADP
ejpam-5249	43	4	incubation	incubation	NOUN
ejpam-5249	43	5	delay	delay	NOUN
ejpam-5249	43	6	in	in	ADP
ejpam-5249	43	7	plant	plant	NOUN
ejpam-5249	43	8	-	-	PUNCT
ejpam-5249	43	9	vector	vector	NOUN
ejpam-5249	43	10	interaction	interaction	NOUN
ejpam-5249	43	11	has	have	AUX
ejpam-5249	43	12	been	be	AUX
ejpam-5249	43	13	examined	examine	VERB
ejpam-5249	43	14	[	[	X
ejpam-5249	43	15	19	19	NUM
ejpam-5249	43	16	]	]	PUNCT
ejpam-5249	43	17	.	.	PUNCT
ejpam-5249	44	1	numerous	numerous	ADJ
ejpam-5249	44	2	authors	author	NOUN
ejpam-5249	44	3	have	have	AUX
ejpam-5249	44	4	included	include	VERB
ejpam-5249	44	5	various	various	ADJ
ejpam-5249	44	6	forms	form	NOUN
ejpam-5249	44	7	of	of	ADP
ejpam-5249	44	8	time	time	NOUN
ejpam-5249	44	9	delays	delay	NOUN
ejpam-5249	44	10	in	in	ADP
ejpam-5249	44	11	biological	biological	ADJ
ejpam-5249	44	12	models	model	NOUN
ejpam-5249	44	13	[	[	X
ejpam-5249	44	14	21]−[4	21]−[4	NUM
ejpam-5249	44	15	]	]	PUNCT
ejpam-5249	44	16	.	.	PUNCT
ejpam-5249	45	1	compared	compare	VERB
ejpam-5249	45	2	to	to	ADP
ejpam-5249	45	3	ordinary	ordinary	ADJ
ejpam-5249	45	4	differential	differential	ADJ
ejpam-5249	45	5	equations	equation	NOUN
ejpam-5249	45	6	,	,	PUNCT
ejpam-5249	45	7	delay	delay	NOUN
ejpam-5249	45	8	-	-	PUNCT
ejpam-5249	45	9	differential	differential	NOUN
ejpam-5249	45	10	equations	equation	NOUN
ejpam-5249	45	11	typically	typically	ADV
ejpam-5249	45	12	display	display	VERB
ejpam-5249	45	13	for	for	ADP
ejpam-5249	45	14	more	more	ADJ
ejpam-5249	45	15	complex	complex	ADJ
ejpam-5249	45	16	dynamics	dynamic	NOUN
ejpam-5249	45	17	especially	especially	ADV
ejpam-5249	45	18	when	when	SCONJ
ejpam-5249	45	19	the	the	DET
ejpam-5249	45	20	complexity	complexity	NOUN
ejpam-5249	45	21	of	of	ADP
ejpam-5249	45	22	the	the	DET
ejpam-5249	45	23	delay	delay	NOUN
ejpam-5249	45	24	terms	term	NOUN
ejpam-5249	45	25	increase	increase	VERB
ejpam-5249	45	26	.	.	PUNCT
ejpam-5249	46	1	for	for	ADP
ejpam-5249	46	2	instance	instance	NOUN
ejpam-5249	46	3	,	,	PUNCT
ejpam-5249	46	4	in	in	ADP
ejpam-5249	46	5	biology	biology	NOUN
ejpam-5249	46	6	many	many	ADJ
ejpam-5249	46	7	changes	change	NOUN
ejpam-5249	46	8	do	do	AUX
ejpam-5249	46	9	n’t	not	PART
ejpam-5249	46	10	occur	occur	VERB
ejpam-5249	46	11	instaneously	instaneously	ADV
ejpam-5249	46	12	,	,	PUNCT
ejpam-5249	46	13	that	that	ADV
ejpam-5249	46	14	is	is	ADV
ejpam-5249	46	15	,	,	PUNCT
ejpam-5249	46	16	think	think	VERB
ejpam-5249	46	17	about	about	ADP
ejpam-5249	46	18	the	the	DET
ejpam-5249	46	19	birth	birth	NOUN
ejpam-5249	46	20	of	of	ADP
ejpam-5249	46	21	human	human	NOUN
ejpam-5249	46	22	.	.	PUNCT
ejpam-5249	47	1	the	the	DET
ejpam-5249	47	2	birth	birth	NOUN
ejpam-5249	47	3	rate	rate	NOUN
ejpam-5249	47	4	varies	vary	VERB
ejpam-5249	47	5	based	base	VERB
ejpam-5249	47	6	on	on	ADP
ejpam-5249	47	7	available	available	ADJ
ejpam-5249	47	8	resources	resource	NOUN
ejpam-5249	47	9	at	at	ADP
ejpam-5249	47	10	the	the	DET
ejpam-5249	47	11	period	period	NOUN
ejpam-5249	47	12	.	.	PUNCT
ejpam-5249	48	1	such	such	ADJ
ejpam-5249	48	2	kind	kind	NOUN
ejpam-5249	48	3	of	of	ADP
ejpam-5249	48	4	situations	situation	NOUN
ejpam-5249	48	5	were	be	AUX
ejpam-5249	48	6	captured	capture	VERB
ejpam-5249	48	7	by	by	ADP
ejpam-5249	48	8	dde	dde	PROPN
ejpam-5249	48	9	’s	’s	PART
ejpam-5249	48	10	[	[	X
ejpam-5249	48	11	17	17	NUM
ejpam-5249	48	12	]	]	PUNCT
ejpam-5249	48	13	and	and	CCONJ
ejpam-5249	48	14	[	[	X
ejpam-5249	48	15	1	1	NUM
ejpam-5249	48	16	]	]	PUNCT
ejpam-5249	48	17	.	.	PUNCT
ejpam-5249	49	1	a	a	DET
ejpam-5249	49	2	dde	dde	PROPN
ejpam-5249	49	3	is	be	AUX
ejpam-5249	49	4	an	an	DET
ejpam-5249	49	5	ode	ode	NOUN
ejpam-5249	49	6	in	in	ADP
ejpam-5249	49	7	which	which	PRON
ejpam-5249	49	8	derivative	derivative	NOUN
ejpam-5249	49	9	depends	depend	VERB
ejpam-5249	49	10	on	on	ADP
ejpam-5249	49	11	past	past	ADJ
ejpam-5249	49	12	values	value	NOUN
ejpam-5249	49	13	of	of	ADP
ejpam-5249	49	14	the	the	DET
ejpam-5249	49	15	state	state	NOUN
ejpam-5249	49	16	at	at	ADP
ejpam-5249	49	17	time	time	NOUN
ejpam-5249	49	18	t	t	PROPN
ejpam-5249	49	19	,	,	PUNCT
ejpam-5249	49	20	the	the	DET
ejpam-5249	49	21	evolution	evolution	NOUN
ejpam-5249	49	22	of	of	ADP
ejpam-5249	49	23	system	system	NOUN
ejpam-5249	49	24	depends	depend	VERB
ejpam-5249	49	25	on	on	ADP
ejpam-5249	49	26	the	the	DET
ejpam-5249	49	27	current	current	ADJ
ejpam-5249	49	28	time	time	NOUN
ejpam-5249	49	29	t	t	PROPN
ejpam-5249	49	30	,	,	PUNCT
ejpam-5249	49	31	current	current	ADJ
ejpam-5249	49	32	state	state	NOUN
ejpam-5249	49	33	of	of	ADP
ejpam-5249	49	34	system	system	NOUN
ejpam-5249	49	35	and	and	CCONJ
ejpam-5249	49	36	at	at	ADP
ejpam-5249	49	37	some	some	DET
ejpam-5249	49	38	time	time	NOUN
ejpam-5249	49	39	τ	τ	X
ejpam-5249	49	40	>	>	X
ejpam-5249	49	41	0	0	PUNCT
ejpam-5249	49	42	in	in	ADP
ejpam-5249	49	43	the	the	DET
ejpam-5249	49	44	past	past	NOUN
ejpam-5249	49	45	.	.	PUNCT
ejpam-5249	50	1	in	in	ADP
ejpam-5249	50	2	this	this	DET
ejpam-5249	50	3	paper	paper	NOUN
ejpam-5249	50	4	we	we	PRON
ejpam-5249	50	5	have	have	AUX
ejpam-5249	50	6	considered	consider	VERB
ejpam-5249	50	7	a	a	DET
ejpam-5249	50	8	constant	constant	ADJ
ejpam-5249	50	9	dde	dde	NOUN
ejpam-5249	50	10	since	since	SCONJ
ejpam-5249	50	11	the	the	DET
ejpam-5249	50	12	time	time	NOUN
ejpam-5249	50	13	delay	delay	NOUN
ejpam-5249	50	14	parameter	parameter	PROPN
ejpam-5249	50	15	τ	τ	PROPN
ejpam-5249	50	16	is	be	AUX
ejpam-5249	50	17	constant	constant	ADJ
ejpam-5249	50	18	.	.	PUNCT
ejpam-5249	51	1	a	a	DET
ejpam-5249	51	2	generalized	generalized	ADJ
ejpam-5249	51	3	delay	delay	NOUN
ejpam-5249	51	4	-	-	PUNCT
ejpam-5249	51	5	induced	induce	VERB
ejpam-5249	51	6	epidemic	epidemic	NOUN
ejpam-5249	51	7	model	model	NOUN
ejpam-5249	51	8	has	have	AUX
ejpam-5249	51	9	been	be	AUX
ejpam-5249	51	10	analyzed	analyze	VERB
ejpam-5249	51	11	,	,	PUNCT
ejpam-5249	51	12	taking	take	VERB
ejpam-5249	51	13	into	into	ADP
ejpam-5249	51	14	account	account	NOUN
ejpam-5249	51	15	a	a	DET
ejpam-5249	51	16	nonlinear	nonlinear	ADJ
ejpam-5249	51	17	incidence	incidence	NOUN
ejpam-5249	51	18	rate	rate	NOUN
ejpam-5249	51	19	,	,	PUNCT
ejpam-5249	51	20	latency	latency	NOUN
ejpam-5249	51	21	,	,	PUNCT
ejpam-5249	51	22	and	and	CCONJ
ejpam-5249	51	23	relapse	relapse	VERB
ejpam-5249	51	24	[	[	X
ejpam-5249	51	25	29	29	NUM
ejpam-5249	51	26	]	]	PUNCT
ejpam-5249	51	27	.	.	PUNCT
ejpam-5249	52	1	delay	delay	NOUN
ejpam-5249	52	2	-	-	PUNCT
ejpam-5249	52	3	differential	differential	NOUN
ejpam-5249	52	4	equation	equation	NOUN
ejpam-5249	52	5	modeling	modeling	NOUN
ejpam-5249	52	6	has	have	AUX
ejpam-5249	52	7	been	be	AUX
ejpam-5249	52	8	investigated	investigate	VERB
ejpam-5249	52	9	as	as	ADP
ejpam-5249	52	10	a	a	DET
ejpam-5249	52	11	means	means	NOUN
ejpam-5249	52	12	of	of	ADP
ejpam-5249	52	13	explaining	explain	VERB
ejpam-5249	52	14	hiv	hiv	PROPN
ejpam-5249	52	15	infection	infection	NOUN
ejpam-5249	52	16	of	of	ADP
ejpam-5249	52	17	cd4	cd4	PROPN
ejpam-5249	52	18	+	+	NOUN
ejpam-5249	52	19	t−cells	t−cell	NOUN
ejpam-5249	53	1	[	[	X
ejpam-5249	53	2	7	7	NUM
ejpam-5249	53	3	]	]	PUNCT
ejpam-5249	53	4	.	.	PUNCT
ejpam-5249	54	1	as	as	ADV
ejpam-5249	54	2	far	far	ADV
ejpam-5249	54	3	as	as	SCONJ
ejpam-5249	54	4	we	we	PRON
ejpam-5249	54	5	are	be	AUX
ejpam-5249	54	6	aware	aware	ADJ
ejpam-5249	54	7	,	,	PUNCT
ejpam-5249	54	8	no	no	DET
ejpam-5249	54	9	delay	delay	NOUN
ejpam-5249	54	10	differential	differential	ADJ
ejpam-5249	54	11	equations	equation	NOUN
ejpam-5249	54	12	system	system	NOUN
ejpam-5249	54	13	exists	exist	VERB
ejpam-5249	54	14	that	that	SCONJ
ejpam-5249	54	15	simulates	simulate	VERB
ejpam-5249	54	16	rsws	rsw	NOUN
ejpam-5249	54	17	that	that	PRON
ejpam-5249	54	18	impact	impact	VERB
ejpam-5249	54	19	coconut	coconut	NOUN
ejpam-5249	54	20	trees	tree	NOUN
ejpam-5249	54	21	.	.	PUNCT
ejpam-5249	55	1	inspired	inspire	VERB
ejpam-5249	55	2	by	by	ADP
ejpam-5249	55	3	its	its	PRON
ejpam-5249	55	4	concept	concept	NOUN
ejpam-5249	55	5	of	of	ADP
ejpam-5249	55	6	plant	plant	NOUN
ejpam-5249	55	7	-	-	PUNCT
ejpam-5249	55	8	vector	vector	NOUN
ejpam-5249	55	9	interaction	interaction	NOUN
ejpam-5249	55	10	[	[	X
ejpam-5249	55	11	19	19	NUM
ejpam-5249	55	12	]	]	PUNCT
ejpam-5249	55	13	,	,	PUNCT
ejpam-5249	55	14	we	we	PRON
ejpam-5249	55	15	have	have	AUX
ejpam-5249	55	16	investigated	investigate	VERB
ejpam-5249	55	17	the	the	DET
ejpam-5249	55	18	disease	disease	NOUN
ejpam-5249	55	19	dynamics	dynamic	NOUN
ejpam-5249	55	20	with	with	ADP
ejpam-5249	55	21	the	the	DET
ejpam-5249	55	22	time	time	NOUN
ejpam-5249	55	23	delay	delay	NOUN
ejpam-5249	55	24	using	use	VERB
ejpam-5249	55	25	the	the	DET
ejpam-5249	55	26	mathematical	mathematical	ADJ
ejpam-5249	55	27	modeling	modeling	NOUN
ejpam-5249	55	28	concept	concept	NOUN
ejpam-5249	55	29	and	and	CCONJ
ejpam-5249	55	30	examined	examine	VERB
ejpam-5249	55	31	the	the	DET
ejpam-5249	55	32	linearized	linearize	VERB
ejpam-5249	55	33	system	system	NOUN
ejpam-5249	55	34	’s	’s	PART
ejpam-5249	55	35	transcendental	transcendental	ADJ
ejpam-5249	55	36	characteristic	characteristic	ADJ
ejpam-5249	55	37	equation	equation	NOUN
ejpam-5249	55	38	.	.	PUNCT
ejpam-5249	56	1	we	we	PRON
ejpam-5249	56	2	evaluated	evaluate	VERB
ejpam-5249	56	3	the	the	DET
ejpam-5249	56	4	parameter	parameter	NOUN
ejpam-5249	56	5	values	value	NOUN
ejpam-5249	56	6	primarily	primarily	ADV
ejpam-5249	56	7	in	in	ADP
ejpam-5249	56	8	light	light	NOUN
ejpam-5249	56	9	of	of	ADP
ejpam-5249	56	10	the	the	DET
ejpam-5249	56	11	pollachi	pollachi	NOUN
ejpam-5249	56	12	tract	tract	NOUN
ejpam-5249	56	13	in	in	ADP
ejpam-5249	56	14	tamil	tamil	PROPN
ejpam-5249	56	15	nadu	nadu	PROPN
ejpam-5249	56	16	.	.	PUNCT
ejpam-5249	57	1	its	its	PRON
ejpam-5249	57	2	stability	stability	NOUN
ejpam-5249	57	3	was	be	AUX
ejpam-5249	57	4	noted	note	VERB
ejpam-5249	57	5	at	at	ADP
ejpam-5249	57	6	the	the	DET
ejpam-5249	57	7	equilibrium	equilibrium	NOUN
ejpam-5249	57	8	points	point	NOUN
ejpam-5249	57	9	.	.	PUNCT
ejpam-5249	58	1	a	a	DET
ejpam-5249	58	2	next	next	ADJ
ejpam-5249	58	3	-	-	PUNCT
ejpam-5249	58	4	generation	generation	NOUN
ejpam-5249	58	5	matrix	matrix	NOUN
ejpam-5249	58	6	was	be	AUX
ejpam-5249	58	7	used	use	VERB
ejpam-5249	58	8	to	to	PART
ejpam-5249	58	9	determine	determine	VERB
ejpam-5249	58	10	the	the	DET
ejpam-5249	58	11	reproduction	reproduction	NOUN
ejpam-5249	58	12	number	number	NOUN
ejpam-5249	58	13	.	.	PUNCT
ejpam-5249	59	1	for	for	ADP
ejpam-5249	59	2	the	the	DET
ejpam-5249	59	3	sensitivity	sensitivity	NOUN
ejpam-5249	59	4	analysis	analysis	NOUN
ejpam-5249	59	5	,	,	PUNCT
ejpam-5249	59	6	we	we	PRON
ejpam-5249	59	7	investigated	investigate	VERB
ejpam-5249	59	8	the	the	DET
ejpam-5249	59	9	factors	factor	NOUN
ejpam-5249	59	10	influencing	influence	VERB
ejpam-5249	59	11	the	the	DET
ejpam-5249	59	12	system	system	NOUN
ejpam-5249	59	13	.	.	PUNCT
ejpam-5249	60	1	multiple	multiple	ADJ
ejpam-5249	60	2	techniques	technique	NOUN
ejpam-5249	60	3	exist	exist	VERB
ejpam-5249	60	4	for	for	ADP
ejpam-5249	60	5	resolving	resolve	VERB
ejpam-5249	60	6	this	this	DET
ejpam-5249	60	7	type	type	NOUN
ejpam-5249	60	8	of	of	ADP
ejpam-5249	60	9	non−linear	non−linear	ADJ
ejpam-5249	60	10	issue	issue	NOUN
ejpam-5249	60	11	.	.	PUNCT
ejpam-5249	61	1	various	various	ADJ
ejpam-5249	61	2	analytical	analytical	ADJ
ejpam-5249	61	3	techniques	technique	NOUN
ejpam-5249	61	4	,	,	PUNCT
ejpam-5249	61	5	such	such	ADJ
ejpam-5249	61	6	as	as	ADP
ejpam-5249	61	7	the	the	DET
ejpam-5249	61	8	variational	variational	ADJ
ejpam-5249	61	9	iteration	iteration	NOUN
ejpam-5249	61	10	method	method	NOUN
ejpam-5249	61	11	,	,	PUNCT
ejpam-5249	61	12	adomian	adomian	NOUN
ejpam-5249	61	13	decomposition	decomposition	NOUN
ejpam-5249	61	14	method	method	NOUN
ejpam-5249	61	15	,	,	PUNCT
ejpam-5249	61	16	homotopy	homotopy	VERB
ejpam-5249	61	17	analysis	analysis	NOUN
ejpam-5249	61	18	method	method	NOUN
ejpam-5249	61	19	and	and	CCONJ
ejpam-5249	61	20	others	other	NOUN
ejpam-5249	61	21	,	,	PUNCT
ejpam-5249	61	22	can	can	AUX
ejpam-5249	61	23	be	be	AUX
ejpam-5249	61	24	employed	employ	VERB
ejpam-5249	61	25	to	to	PART
ejpam-5249	61	26	get	get	VERB
ejpam-5249	61	27	approximate	approximate	ADJ
ejpam-5249	61	28	solutions	solution	NOUN
ejpam-5249	61	29	for	for	ADP
ejpam-5249	61	30	nonlinear	nonlinear	ADJ
ejpam-5249	61	31	differential	differential	ADJ
ejpam-5249	61	32	equations	equation	NOUN
ejpam-5249	62	1	[	[	X
ejpam-5249	62	2	28]−[23	28]−[23	X
ejpam-5249	62	3	]	]	PUNCT
ejpam-5249	62	4	.	.	PUNCT
ejpam-5249	63	1	the	the	DET
ejpam-5249	63	2	homotopy	homotopy	NOUN
ejpam-5249	63	3	perturbation	perturbation	NOUN
ejpam-5249	63	4	method	method	NOUN
ejpam-5249	63	5	(	(	PUNCT
ejpam-5249	63	6	hpm	hpm	NOUN
ejpam-5249	63	7	)	)	PUNCT
ejpam-5249	63	8	,	,	PUNCT
ejpam-5249	63	9	was	be	AUX
ejpam-5249	63	10	introduced	introduce	VERB
ejpam-5249	63	11	by	by	ADP
ejpam-5249	63	12	dr	dr	PROPN
ejpam-5249	63	13	.	.	PROPN
ejpam-5249	64	1	ji	ji	PROPN
ejpam-5249	64	2	huan	huan	PROPN
ejpam-5249	64	3	he	he	PRON
ejpam-5249	64	4	(	(	PUNCT
ejpam-5249	64	5	1999b	1999b	NUM
ejpam-5249	64	6	)	)	PUNCT
ejpam-5249	64	7	has	have	AUX
ejpam-5249	64	8	successfully	successfully	ADV
ejpam-5249	64	9	been	be	AUX
ejpam-5249	64	10	applied	apply	VERB
ejpam-5249	64	11	to	to	PART
ejpam-5249	64	12	solve	solve	VERB
ejpam-5249	64	13	numerous	numerous	ADJ
ejpam-5249	64	14	types	type	NOUN
ejpam-5249	64	15	of	of	ADP
ejpam-5249	64	16	linear	linear	ADJ
ejpam-5249	64	17	and	and	CCONJ
ejpam-5249	64	18	nonlinear	nonlinear	ADJ
ejpam-5249	64	19	functional	functional	ADJ
ejpam-5249	64	20	equations	equation	NOUN
ejpam-5249	64	21	[	[	X
ejpam-5249	64	22	14	14	NUM
ejpam-5249	64	23	]	]	PUNCT
ejpam-5249	64	24	and	and	CCONJ
ejpam-5249	64	25	[	[	X
ejpam-5249	64	26	15	15	NUM
ejpam-5249	64	27	]	]	PUNCT
ejpam-5249	64	28	.	.	PUNCT
ejpam-5249	65	1	b.	b.	PROPN
ejpam-5249	65	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	65	3	,	,	PUNCT
ejpam-5249	65	4	r.	r.	PROPN
ejpam-5249	65	5	senthamarai	senthamarai	PROPN
ejpam-5249	65	6	/	/	SYM
ejpam-5249	65	7	eur	eur	PROPN
ejpam-5249	65	8	.	.	PUNCT
ejpam-5249	66	1	j.	j.	PROPN
ejpam-5249	66	2	pure	pure	PROPN
ejpam-5249	66	3	appl	appl	PROPN
ejpam-5249	66	4	.	.	PROPN
ejpam-5249	66	5	math	math	PROPN
ejpam-5249	66	6	,	,	PUNCT
ejpam-5249	66	7	17	17	NUM
ejpam-5249	66	8	(	(	PUNCT
ejpam-5249	66	9	3	3	NUM
ejpam-5249	66	10	)	)	PUNCT
ejpam-5249	66	11	(	(	PUNCT
ejpam-5249	66	12	2024	2024	NUM
ejpam-5249	66	13	)	)	PUNCT
ejpam-5249	66	14	,	,	PUNCT
ejpam-5249	66	15	1908	1908	NUM
ejpam-5249	66	16	-	-	SYM
ejpam-5249	66	17	1936	1936	NUM
ejpam-5249	66	18	1910	1910	NUM
ejpam-5249	66	19	using	use	VERB
ejpam-5249	66	20	the	the	DET
ejpam-5249	66	21	homotopy	homotopy	NOUN
ejpam-5249	66	22	perturbation	perturbation	NOUN
ejpam-5249	66	23	method	method	NOUN
ejpam-5249	66	24	,	,	PUNCT
ejpam-5249	66	25	an	an	DET
ejpam-5249	66	26	approximate	approximate	ADJ
ejpam-5249	66	27	analytical	analytical	ADJ
ejpam-5249	66	28	solution	solution	NOUN
ejpam-5249	66	29	has	have	AUX
ejpam-5249	66	30	been	be	AUX
ejpam-5249	66	31	found	find	VERB
ejpam-5249	66	32	for	for	ADP
ejpam-5249	66	33	the	the	DET
ejpam-5249	66	34	proposed	propose	VERB
ejpam-5249	66	35	system	system	NOUN
ejpam-5249	66	36	that	that	PRON
ejpam-5249	66	37	proved	prove	VERB
ejpam-5249	66	38	it	it	PRON
ejpam-5249	66	39	’s	’	VERB
ejpam-5249	66	40	suitability	suitability	NOUN
ejpam-5249	66	41	for	for	ADP
ejpam-5249	66	42	getting	get	VERB
ejpam-5249	66	43	solutions	solution	NOUN
ejpam-5249	66	44	that	that	PRON
ejpam-5249	66	45	are	be	AUX
ejpam-5249	66	46	valid	valid	ADJ
ejpam-5249	66	47	for	for	ADP
ejpam-5249	66	48	all	all	DET
ejpam-5249	66	49	parameters	parameter	NOUN
ejpam-5249	66	50	appeared	appear	VERB
ejpam-5249	66	51	on	on	ADP
ejpam-5249	66	52	the	the	DET
ejpam-5249	66	53	system	system	NOUN
ejpam-5249	66	54	[	[	X
ejpam-5249	66	55	8]−[3	8]−[3	NOUN
ejpam-5249	66	56	]	]	X
ejpam-5249	66	57	.	.	PUNCT
ejpam-5249	67	1	it	it	PRON
ejpam-5249	67	2	has	have	VERB
ejpam-5249	67	3	a	a	DET
ejpam-5249	67	4	substantial	substantial	ADJ
ejpam-5249	67	5	benefit	benefit	NOUN
ejpam-5249	67	6	in	in	ADP
ejpam-5249	67	7	that	that	PRON
ejpam-5249	67	8	provides	provide	VERB
ejpam-5249	67	9	an	an	DET
ejpam-5249	67	10	analytical	analytical	ADJ
ejpam-5249	67	11	approximation	approximation	NOUN
ejpam-5249	67	12	solution	solution	NOUN
ejpam-5249	67	13	to	to	ADP
ejpam-5249	67	14	a	a	DET
ejpam-5249	67	15	large	large	ADJ
ejpam-5249	67	16	range	range	NOUN
ejpam-5249	67	17	of	of	ADP
ejpam-5249	67	18	nonlinear	nonlinear	ADJ
ejpam-5249	67	19	problems	problem	NOUN
ejpam-5249	67	20	in	in	ADP
ejpam-5249	67	21	applied	applied	ADJ
ejpam-5249	67	22	sciences	science	NOUN
ejpam-5249	67	23	[	[	X
ejpam-5249	67	24	20]−[24	20]−[24	NUM
ejpam-5249	67	25	]	]	X
ejpam-5249	67	26	.	.	PUNCT
ejpam-5249	68	1	the	the	DET
ejpam-5249	68	2	parameter	parameter	NOUN
ejpam-5249	68	3	values	value	NOUN
ejpam-5249	68	4	were	be	AUX
ejpam-5249	68	5	taken	take	VERB
ejpam-5249	68	6	from	from	ADP
ejpam-5249	68	7	[	[	X
ejpam-5249	68	8	25	25	NUM
ejpam-5249	68	9	]	]	PUNCT
ejpam-5249	68	10	based	base	VERB
ejpam-5249	68	11	on	on	ADP
ejpam-5249	68	12	the	the	DET
ejpam-5249	68	13	facts	fact	NOUN
ejpam-5249	68	14	and	and	CCONJ
ejpam-5249	68	15	methods	method	NOUN
ejpam-5249	68	16	.	.	PUNCT
ejpam-5249	69	1	numerical	numerical	PROPN
ejpam-5249	69	2	simulation	simulation	PROPN
ejpam-5249	69	3	is	be	AUX
ejpam-5249	69	4	also	also	ADV
ejpam-5249	69	5	acquired	acquire	VERB
ejpam-5249	69	6	by	by	ADP
ejpam-5249	69	7	using	use	VERB
ejpam-5249	69	8	matlab	matlab	PROPN
ejpam-5249	69	9	software	software	NOUN
ejpam-5249	69	10	.	.	PUNCT
ejpam-5249	70	1	it	it	PRON
ejpam-5249	70	2	is	be	AUX
ejpam-5249	70	3	determined	determine	VERB
ejpam-5249	70	4	that	that	SCONJ
ejpam-5249	70	5	the	the	DET
ejpam-5249	70	6	analytical	analytical	ADJ
ejpam-5249	70	7	and	and	CCONJ
ejpam-5249	70	8	numerical	numerical	PROPN
ejpam-5249	70	9	simulation	simulation	PROPN
ejpam-5249	70	10	outcomes	outcome	NOUN
ejpam-5249	70	11	are	be	AUX
ejpam-5249	70	12	in	in	ADP
ejpam-5249	70	13	perfect	perfect	ADJ
ejpam-5249	70	14	agreement	agreement	NOUN
ejpam-5249	70	15	.	.	PUNCT
ejpam-5249	71	1	2	2	X
ejpam-5249	71	2	.	.	X
ejpam-5249	71	3	mathematical	mathematical	ADJ
ejpam-5249	71	4	formulation	formulation	NOUN
ejpam-5249	71	5	in	in	ADP
ejpam-5249	71	6	order	order	NOUN
ejpam-5249	71	7	to	to	PART
ejpam-5249	71	8	examine	examine	VERB
ejpam-5249	71	9	the	the	DET
ejpam-5249	71	10	effects	effect	NOUN
ejpam-5249	71	11	of	of	ADP
ejpam-5249	71	12	rsws	rsws	NOUN
ejpam-5249	71	13	on	on	ADP
ejpam-5249	71	14	coconut	coconut	NOUN
ejpam-5249	71	15	trees	tree	NOUN
ejpam-5249	71	16	,	,	PUNCT
ejpam-5249	71	17	a	a	DET
ejpam-5249	71	18	plant−vector	plant−vector	NOUN
ejpam-5249	71	19	interaction	interaction	NOUN
ejpam-5249	71	20	model	model	NOUN
ejpam-5249	71	21	[	[	X
ejpam-5249	71	22	16	16	NUM
ejpam-5249	71	23	]	]	PUNCT
ejpam-5249	71	24	was	be	AUX
ejpam-5249	71	25	promptly	promptly	ADV
ejpam-5249	71	26	created	create	VERB
ejpam-5249	71	27	by	by	ADP
ejpam-5249	71	28	taking	take	VERB
ejpam-5249	71	29	into	into	ADP
ejpam-5249	71	30	account	account	NOUN
ejpam-5249	71	31	the	the	DET
ejpam-5249	71	32	whitefly	whitefly	ADJ
ejpam-5249	71	33	population	population	NOUN
ejpam-5249	71	34	and	and	CCONJ
ejpam-5249	71	35	coconut	coconut	NOUN
ejpam-5249	71	36	plants	plant	NOUN
ejpam-5249	71	37	.	.	PUNCT
ejpam-5249	72	1	the	the	DET
ejpam-5249	72	2	population	population	NOUN
ejpam-5249	72	3	of	of	ADP
ejpam-5249	72	4	trees	tree	NOUN
ejpam-5249	72	5	was	be	AUX
ejpam-5249	72	6	splitted	splitte	VERB
ejpam-5249	72	7	into	into	ADP
ejpam-5249	72	8	two	two	NUM
ejpam-5249	72	9	groups	group	NOUN
ejpam-5249	72	10	:	:	PUNCT
ejpam-5249	72	11	healthy	healthy	ADJ
ejpam-5249	72	12	trees	tree	NOUN
ejpam-5249	72	13	(	(	PUNCT
ejpam-5249	72	14	x	x	NOUN
ejpam-5249	72	15	)	)	PUNCT
ejpam-5249	72	16	and	and	CCONJ
ejpam-5249	72	17	infected	infected	ADJ
ejpam-5249	72	18	trees	tree	NOUN
ejpam-5249	72	19	(	(	PUNCT
ejpam-5249	72	20	y	y	PROPN
ejpam-5249	72	21	)	)	PUNCT
ejpam-5249	72	22	.	.	PUNCT
ejpam-5249	73	1	c	c	PROPN
ejpam-5249	73	2	stands	stand	VERB
ejpam-5249	73	3	for	for	ADP
ejpam-5249	73	4	the	the	DET
ejpam-5249	73	5	number	number	NOUN
ejpam-5249	73	6	of	of	ADP
ejpam-5249	73	7	whiteflies	whitefly	NOUN
ejpam-5249	73	8	density	density	NOUN
ejpam-5249	73	9	per	per	ADP
ejpam-5249	73	10	square	square	ADJ
ejpam-5249	73	11	meter	meter	NOUN
ejpam-5249	73	12	.	.	PUNCT
ejpam-5249	74	1	2.1	2.1	NUM
ejpam-5249	74	2	.	.	PUNCT
ejpam-5249	75	1	the	the	DET
ejpam-5249	75	2	system	system	NOUN
ejpam-5249	75	3	of	of	ADP
ejpam-5249	75	4	ordinary	ordinary	ADJ
ejpam-5249	75	5	differential	differential	ADJ
ejpam-5249	75	6	equations	equation	NOUN
ejpam-5249	75	7	the	the	DET
ejpam-5249	75	8	mathematical	mathematical	ADJ
ejpam-5249	75	9	model	model	NOUN
ejpam-5249	75	10	is	be	AUX
ejpam-5249	75	11	given	give	VERB
ejpam-5249	75	12	as	as	SCONJ
ejpam-5249	75	13	follows	follow	VERB
ejpam-5249	75	14	[	[	X
ejpam-5249	75	15	8	8	NUM
ejpam-5249	75	16	]	]	PUNCT
ejpam-5249	75	17	:	:	PUNCT
ejpam-5249	75	18	dx	dx	PROPN
ejpam-5249	76	1	dt	dt	X
ejpam-5249	77	1	=	=	PUNCT
ejpam-5249	77	2	bx	bx	PROPN
ejpam-5249	77	3	(	(	PUNCT
ejpam-5249	77	4	1−	1−	NUM
ejpam-5249	77	5	x	x	X
ejpam-5249	78	1	+	+	NOUN
ejpam-5249	78	2	y	y	PROPN
ejpam-5249	78	3	v	v	NOUN
ejpam-5249	78	4	)	)	PUNCT
ejpam-5249	78	5	−axc	−axc	NOUN
ejpam-5249	78	6	,	,	PUNCT
ejpam-5249	78	7	(	(	PUNCT
ejpam-5249	78	8	1	1	X
ejpam-5249	78	9	)	)	PUNCT
ejpam-5249	78	10	dy	dy	NOUN
ejpam-5249	78	11	dt	dt	NOUN
ejpam-5249	78	12	=	=	SYM
ejpam-5249	78	13	axc−µy	axc−µy	PROPN
ejpam-5249	78	14	,	,	PUNCT
ejpam-5249	78	15	(	(	PUNCT
ejpam-5249	78	16	2	2	X
ejpam-5249	78	17	)	)	PUNCT
ejpam-5249	78	18	dc	dc	PROPN
ejpam-5249	79	1	dt	dt	NOUN
ejpam-5249	79	2	=	=	SYM
ejpam-5249	79	3	wy	wy	PROPN
ejpam-5249	79	4	−	−	PROPN
ejpam-5249	79	5	sc	sc	PROPN
ejpam-5249	79	6	.	.	PUNCT
ejpam-5249	79	7	(	(	PUNCT
ejpam-5249	79	8	3	3	X
ejpam-5249	79	9	)	)	PUNCT
ejpam-5249	79	10	with	with	ADP
ejpam-5249	79	11	the	the	DET
ejpam-5249	79	12	initial	initial	ADJ
ejpam-5249	79	13	conditions	condition	NOUN
ejpam-5249	79	14	x(0	x(0	PRON
ejpam-5249	79	15	)	)	PUNCT
ejpam-5249	79	16	=	=	X
ejpam-5249	80	1	l	l	NOUN
ejpam-5249	80	2	>	>	X
ejpam-5249	80	3	0	0	PROPN
ejpam-5249	80	4	,	,	PUNCT
ejpam-5249	80	5	y	y	PROPN
ejpam-5249	80	6	(	(	PUNCT
ejpam-5249	80	7	0	0	NUM
ejpam-5249	80	8	)	)	PUNCT
ejpam-5249	80	9	=	=	SYM
ejpam-5249	81	1	m	m	VERB
ejpam-5249	81	2	>	>	X
ejpam-5249	81	3	0	0	NUM
ejpam-5249	81	4	,	,	PUNCT
ejpam-5249	81	5	c(0	c(0	NOUN
ejpam-5249	81	6	)	)	PUNCT
ejpam-5249	81	7	=	=	SYM
ejpam-5249	82	1	n	n	CCONJ
ejpam-5249	82	2	>	>	NOUN
ejpam-5249	82	3	0	0	NUM
ejpam-5249	82	4	.	.	PUNCT
ejpam-5249	83	1	(	(	PUNCT
ejpam-5249	83	2	4	4	NUM
ejpam-5249	83	3	)	)	PUNCT
ejpam-5249	83	4	2.2	2.2	NUM
ejpam-5249	83	5	.	.	PUNCT
ejpam-5249	84	1	the	the	DET
ejpam-5249	84	2	system	system	NOUN
ejpam-5249	84	3	of	of	ADP
ejpam-5249	84	4	delay	delay	NOUN
ejpam-5249	84	5	differential	differential	NOUN
ejpam-5249	84	6	equations	equation	NOUN
ejpam-5249	84	7	the	the	DET
ejpam-5249	84	8	mathematical	mathematical	ADJ
ejpam-5249	84	9	model	model	NOUN
ejpam-5249	84	10	with	with	ADP
ejpam-5249	84	11	delay	delay	NOUN
ejpam-5249	84	12	is	be	AUX
ejpam-5249	84	13	given	give	VERB
ejpam-5249	84	14	as	as	SCONJ
ejpam-5249	84	15	follows	follow	VERB
ejpam-5249	84	16	:	:	PUNCT
ejpam-5249	84	17	dx(t	dx(t	X
ejpam-5249	84	18	)	)	PUNCT
ejpam-5249	84	19	dt	dt	NOUN
ejpam-5249	84	20	=	=	SYM
ejpam-5249	84	21	bx(t	bx(t	PROPN
ejpam-5249	84	22	)	)	PUNCT
ejpam-5249	84	23	(	(	PUNCT
ejpam-5249	84	24	1−	1−	NUM
ejpam-5249	84	25	x(t)+y	x(t)+y	SYM
ejpam-5249	84	26	(	(	PUNCT
ejpam-5249	84	27	t	t	PROPN
ejpam-5249	84	28	)	)	PUNCT
ejpam-5249	84	29	v	v	NOUN
ejpam-5249	84	30	)	)	PUNCT
ejpam-5249	84	31	−ax(t)c(t	−ax(t)c(t	NOUN
ejpam-5249	84	32	)	)	PUNCT
ejpam-5249	84	33	,	,	PUNCT
ejpam-5249	84	34	(	(	PUNCT
ejpam-5249	84	35	5	5	X
ejpam-5249	84	36	)	)	PUNCT
ejpam-5249	84	37	dy	dy	NOUN
ejpam-5249	84	38	(	(	PUNCT
ejpam-5249	84	39	t	t	NOUN
ejpam-5249	84	40	)	)	PUNCT
ejpam-5249	84	41	dt	dt	NOUN
ejpam-5249	85	1	=	=	PUNCT
ejpam-5249	85	2	ax(t	ax(t	X
ejpam-5249	85	3	−	−	PROPN
ejpam-5249	85	4	τ)c(t	τ)c(t	NOUN
ejpam-5249	85	5	−	−	PROPN
ejpam-5249	85	6	τ)−µy	τ)−µy	PUNCT
ejpam-5249	85	7	(	(	PUNCT
ejpam-5249	85	8	t	t	NOUN
ejpam-5249	85	9	)	)	PUNCT
ejpam-5249	85	10	,	,	PUNCT
ejpam-5249	85	11	(	(	PUNCT
ejpam-5249	85	12	6	6	NUM
ejpam-5249	85	13	)	)	PUNCT
ejpam-5249	85	14	dc(t	dc(t	NOUN
ejpam-5249	85	15	)	)	PUNCT
ejpam-5249	86	1	dt	dt	NOUN
ejpam-5249	86	2	=	=	SYM
ejpam-5249	86	3	wy	wy	PROPN
ejpam-5249	86	4	(	(	PUNCT
ejpam-5249	86	5	t)−	t)−	PROPN
ejpam-5249	86	6	sc(t	sc(t	NOUN
ejpam-5249	86	7	)	)	PUNCT
ejpam-5249	86	8	.	.	PUNCT
ejpam-5249	87	1	(	(	PUNCT
ejpam-5249	87	2	7	7	X
ejpam-5249	87	3	)	)	PUNCT
ejpam-5249	87	4	with	with	ADP
ejpam-5249	87	5	the	the	DET
ejpam-5249	87	6	initial	initial	ADJ
ejpam-5249	87	7	values	value	NOUN
ejpam-5249	87	8	x(θ	x(θ	PROPN
ejpam-5249	87	9	)	)	PUNCT
ejpam-5249	88	1	=	=	SYM
ejpam-5249	88	2	l	l	NOUN
ejpam-5249	88	3	,	,	PUNCT
ejpam-5249	88	4	y	y	PROPN
ejpam-5249	88	5	(	(	PUNCT
ejpam-5249	88	6	θ	θ	NOUN
ejpam-5249	88	7	)	)	PUNCT
ejpam-5249	88	8	=	=	SYM
ejpam-5249	88	9	m	m	PROPN
ejpam-5249	88	10	,	,	PUNCT
ejpam-5249	88	11	c(θ	c(θ	PROPN
ejpam-5249	88	12	)	)	PUNCT
ejpam-5249	88	13	=	=	SYM
ejpam-5249	89	1	n	n	NUM
ejpam-5249	89	2	θ	θ	PROPN
ejpam-5249	89	3	∈	∈	PROPN
ejpam-5249	90	1	[	[	X
ejpam-5249	90	2	−τ,0	−τ,0	NOUN
ejpam-5249	90	3	]	]	X
ejpam-5249	90	4	(	(	PUNCT
ejpam-5249	90	5	8)	8)	NUM
ejpam-5249	90	6	b.	b.	PROPN
ejpam-5249	90	7	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	90	8	,	,	PUNCT
ejpam-5249	90	9	r.	r.	PROPN
ejpam-5249	90	10	senthamarai	senthamarai	PROPN
ejpam-5249	90	11	/	/	SYM
ejpam-5249	90	12	eur	eur	PROPN
ejpam-5249	90	13	.	.	PUNCT
ejpam-5249	91	1	j.	j.	PROPN
ejpam-5249	91	2	pure	pure	PROPN
ejpam-5249	91	3	appl	appl	PROPN
ejpam-5249	91	4	.	.	PROPN
ejpam-5249	91	5	math	math	PROPN
ejpam-5249	91	6	,	,	PUNCT
ejpam-5249	91	7	17	17	NUM
ejpam-5249	91	8	(	(	PUNCT
ejpam-5249	91	9	3	3	NUM
ejpam-5249	91	10	)	)	PUNCT
ejpam-5249	91	11	(	(	PUNCT
ejpam-5249	91	12	2024	2024	NUM
ejpam-5249	91	13	)	)	PUNCT
ejpam-5249	91	14	,	,	PUNCT
ejpam-5249	91	15	1908	1908	NUM
ejpam-5249	91	16	-	-	SYM
ejpam-5249	91	17	1936	1936	NUM
ejpam-5249	91	18	1911	1911	NUM
ejpam-5249	91	19	3	3	NUM
ejpam-5249	91	20	.	.	PUNCT
ejpam-5249	92	1	analysis	analysis	NOUN
ejpam-5249	92	2	of	of	ADP
ejpam-5249	92	3	the	the	DET
ejpam-5249	92	4	model	model	NOUN
ejpam-5249	92	5	3.1	3.1	NUM
ejpam-5249	92	6	.	.	PUNCT
ejpam-5249	93	1	positivity	positivity	NOUN
ejpam-5249	93	2	the	the	DET
ejpam-5249	93	3	following	follow	VERB
ejpam-5249	93	4	concise	concise	ADJ
ejpam-5249	93	5	notation	notation	NOUN
ejpam-5249	93	6	can	can	AUX
ejpam-5249	93	7	be	be	AUX
ejpam-5249	93	8	used	use	VERB
ejpam-5249	93	9	to	to	PART
ejpam-5249	93	10	express	express	VERB
ejpam-5249	93	11	the	the	DET
ejpam-5249	93	12	system	system	NOUN
ejpam-5249	93	13	of	of	ADP
ejpam-5249	93	14	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	93	15	):	):	PUNCT
ejpam-5249	93	16	du	du	PROPN
ejpam-5249	93	17	dt	dt	NOUN
ejpam-5249	93	18	=	=	SYM
ejpam-5249	93	19	ψ	ψ	PROPN
ejpam-5249	93	20	(	(	PUNCT
ejpam-5249	93	21	u	u	NOUN
ejpam-5249	93	22	)	)	PUNCT
ejpam-5249	93	23	.	.	PUNCT
ejpam-5249	94	1	here	here	ADV
ejpam-5249	94	2	,	,	PUNCT
ejpam-5249	94	3	u	u	NOUN
ejpam-5249	94	4	(	(	PUNCT
ejpam-5249	94	5	θ	θ	NOUN
ejpam-5249	94	6	)	)	PUNCT
ejpam-5249	94	7	=	=	SYM
ejpam-5249	94	8	(	(	PUNCT
ejpam-5249	94	9	x(θ),y	x(θ),y	NOUN
ejpam-5249	94	10	(	(	PUNCT
ejpam-5249	94	11	θ),c(θ))t	θ),c(θ))t	PROPN
ejpam-5249	94	12	∈	∈	PROPN
ejpam-5249	94	13	z	z	NOUN
ejpam-5249	94	14	where	where	SCONJ
ejpam-5249	94	15	z	z	NOUN
ejpam-5249	94	16	=	=	SYM
ejpam-5249	94	17	z	z	X
ejpam-5249	94	18	(	(	PUNCT
ejpam-5249	94	19	[	[	X
ejpam-5249	94	20	−τ,0	−τ,0	X
ejpam-5249	94	21	]	]	X
ejpam-5249	94	22	,	,	PUNCT
ejpam-5249	94	23	r3	r3	PROPN
ejpam-5249	94	24	+	+	PUNCT
ejpam-5249	94	25	)	)	PUNCT
ejpam-5249	94	26	represents	represent	VERB
ejpam-5249	94	27	the	the	DET
ejpam-5249	94	28	banach	banach	NOUN
ejpam-5249	94	29	space	space	NOUN
ejpam-5249	94	30	of	of	ADP
ejpam-5249	94	31	continuous	continuous	ADJ
ejpam-5249	94	32	functions	function	NOUN
ejpam-5249	94	33	,	,	PUNCT
ejpam-5249	94	34	and	and	CCONJ
ejpam-5249	94	35	ψ	ψ	X
ejpam-5249	94	36	=	=	SYM
ejpam-5249	94	37	(	(	PUNCT
ejpam-5249	94	38	ψ1,ψ2,ψ3	ψ1,ψ2,ψ3	PROPN
ejpam-5249	94	39	)	)	PUNCT
ejpam-5249	94	40	t	t	PROPN
ejpam-5249	94	41	are	be	AUX
ejpam-5249	94	42	the	the	DET
ejpam-5249	94	43	right	right	ADJ
ejpam-5249	94	44	sides	side	NOUN
ejpam-5249	94	45	of	of	ADP
ejpam-5249	94	46	the	the	DET
ejpam-5249	94	47	system	system	NOUN
ejpam-5249	94	48	of	of	ADP
ejpam-5249	94	49	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	94	50	)	)	PUNCT
ejpam-5249	94	51	.	.	PUNCT
ejpam-5249	95	1	according	accord	VERB
ejpam-5249	95	2	to	to	ADP
ejpam-5249	95	3	the	the	DET
ejpam-5249	95	4	fundamental	fundamental	ADJ
ejpam-5249	95	5	theory	theory	NOUN
ejpam-5249	95	6	of	of	ADP
ejpam-5249	95	7	functional	functional	ADJ
ejpam-5249	95	8	differential	differential	ADJ
ejpam-5249	95	9	equations	equation	NOUN
ejpam-5249	95	10	[	[	X
ejpam-5249	95	11	13	13	NUM
ejpam-5249	95	12	]	]	PUNCT
ejpam-5249	95	13	,	,	PUNCT
ejpam-5249	95	14	there	there	PRON
ejpam-5249	95	15	exists	exist	VERB
ejpam-5249	95	16	a	a	DET
ejpam-5249	95	17	unique	unique	ADJ
ejpam-5249	95	18	solution	solution	NOUN
ejpam-5249	95	19	(	(	PUNCT
ejpam-5249	95	20	x(t),y	x(t),y	NOUN
ejpam-5249	95	21	(	(	PUNCT
ejpam-5249	95	22	t),c(t	t),c(t	NOUN
ejpam-5249	95	23	)	)	PUNCT
ejpam-5249	95	24	)	)	PUNCT
ejpam-5249	95	25	to	to	ADP
ejpam-5249	95	26	the	the	DET
ejpam-5249	95	27	system	system	NOUN
ejpam-5249	95	28	of	of	ADP
ejpam-5249	95	29	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	95	30	)	)	PUNCT
ejpam-5249	95	31	with	with	ADP
ejpam-5249	95	32	initial	initial	ADJ
ejpam-5249	95	33	conditions	condition	NOUN
ejpam-5249	95	34	given	give	VERB
ejpam-5249	95	35	by	by	ADP
ejpam-5249	95	36	eq.(8	eq.(8	ADJ
ejpam-5249	95	37	)	)	PUNCT
ejpam-5249	95	38	.	.	PUNCT
ejpam-5249	96	1	theorem	theorem	NOUN
ejpam-5249	96	2	1	1	NUM
ejpam-5249	96	3	.	.	PUNCT
ejpam-5249	97	1	all	all	DET
ejpam-5249	97	2	the	the	DET
ejpam-5249	97	3	solutions	solution	NOUN
ejpam-5249	97	4	of	of	ADP
ejpam-5249	97	5	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	97	6	)	)	PUNCT
ejpam-5249	97	7	with	with	ADP
ejpam-5249	97	8	initial	initial	ADJ
ejpam-5249	97	9	conditions	condition	NOUN
ejpam-5249	97	10	eq.(8	eq.(8	ADV
ejpam-5249	97	11	)	)	PUNCT
ejpam-5249	97	12	are	be	AUX
ejpam-5249	97	13	positive	positive	ADJ
ejpam-5249	97	14	.	.	PUNCT
ejpam-5249	98	1	proof	proof	NOUN
ejpam-5249	98	2	.	.	PUNCT
ejpam-5249	99	1	the	the	DET
ejpam-5249	99	2	principle	principle	NOUN
ejpam-5249	99	3	mentioned	mention	VERB
ejpam-5249	99	4	above	above	ADV
ejpam-5249	99	5	has	have	AUX
ejpam-5249	99	6	been	be	AUX
ejpam-5249	99	7	proven	prove	VERB
ejpam-5249	99	8	using	use	VERB
ejpam-5249	99	9	the	the	DET
ejpam-5249	99	10	approach	approach	NOUN
ejpam-5249	99	11	proposed	propose	VERB
ejpam-5249	99	12	by	by	ADP
ejpam-5249	99	13	bodnar	bodnar	NOUN
ejpam-5249	99	14	,	,	PUNCT
ejpam-5249	99	15	as	as	SCONJ
ejpam-5249	99	16	described	describe	VERB
ejpam-5249	99	17	in	in	ADP
ejpam-5249	99	18	[	[	X
ejpam-5249	99	19	5	5	NUM
ejpam-5249	99	20	]	]	PUNCT
ejpam-5249	99	21	and	and	CCONJ
ejpam-5249	99	22	[	[	X
ejpam-5249	99	23	30	30	NUM
ejpam-5249	99	24	]	]	PUNCT
ejpam-5249	99	25	.	.	PUNCT
ejpam-5249	100	1	it	it	PRON
ejpam-5249	100	2	is	be	AUX
ejpam-5249	100	3	simple	simple	ADJ
ejpam-5249	100	4	to	to	PART
ejpam-5249	100	5	verify	verify	VERB
ejpam-5249	100	6	in	in	ADP
ejpam-5249	100	7	system	system	NOUN
ejpam-5249	100	8	of	of	ADP
ejpam-5249	100	9	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	100	10	)	)	PUNCT
ejpam-5249	100	11	that	that	SCONJ
ejpam-5249	100	12	when	when	SCONJ
ejpam-5249	100	13	selecting	select	VERB
ejpam-5249	100	14	x(θ	x(θ	PROPN
ejpam-5249	100	15	)	)	PUNCT
ejpam-5249	100	16	∈	∈	PROPN
ejpam-5249	100	17	r+	r+	PUNCT
ejpam-5249	100	18	that	that	SCONJ
ejpam-5249	100	19	if	if	SCONJ
ejpam-5249	100	20	x	x	X
ejpam-5249	100	21	=	=	SYM
ejpam-5249	100	22	0,y	0,y	NOUN
ejpam-5249	100	23	=	=	SYM
ejpam-5249	100	24	0,c	0,c	NOUN
ejpam-5249	101	1	=	=	SYM
ejpam-5249	101	2	0	0	NUM
ejpam-5249	101	3	,	,	PUNCT
ejpam-5249	101	4	then	then	ADV
ejpam-5249	101	5	ψi(u)|ui=0,u∈r3	ψi(u)|ui=0,u∈r3	PROPN
ejpam-5249	101	6	+	+	CCONJ
ejpam-5249	101	7	≥	≥	NOUN
ejpam-5249	101	8	0	0	NUM
ejpam-5249	101	9	.	.	PUNCT
ejpam-5249	102	1	by	by	ADP
ejpam-5249	102	2	applying	apply	VERB
ejpam-5249	102	3	lemma	lemma	PROPN
ejpam-5249	102	4	2	2	NUM
ejpam-5249	102	5	in	in	ADP
ejpam-5249	102	6	[	[	X
ejpam-5249	102	7	30	30	NUM
ejpam-5249	102	8	]	]	PUNCT
ejpam-5249	102	9	and	and	CCONJ
ejpam-5249	102	10	theorem	theorem	VERB
ejpam-5249	102	11	1.1	1.1	NUM
ejpam-5249	102	12	in	in	ADP
ejpam-5249	102	13	[	[	X
ejpam-5249	102	14	5	5	NUM
ejpam-5249	102	15	]	]	PUNCT
ejpam-5249	102	16	,	,	PUNCT
ejpam-5249	102	17	we	we	PRON
ejpam-5249	102	18	can	can	AUX
ejpam-5249	102	19	conclude	conclude	VERB
ejpam-5249	102	20	that	that	SCONJ
ejpam-5249	102	21	any	any	DET
ejpam-5249	102	22	solution	solution	NOUN
ejpam-5249	102	23	x(t	x(t	PROPN
ejpam-5249	102	24	)	)	PUNCT
ejpam-5249	102	25	=	=	SYM
ejpam-5249	102	26	x(t	x(t	PROPN
ejpam-5249	102	27	,	,	PUNCT
ejpam-5249	102	28	x(θ	x(θ	PROPN
ejpam-5249	102	29	)	)	PUNCT
ejpam-5249	102	30	)	)	PUNCT
ejpam-5249	102	31	of	of	ADP
ejpam-5249	102	32	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	102	33	)	)	PUNCT
ejpam-5249	102	34	with	with	ADP
ejpam-5249	102	35	x(θ	x(θ	PROPN
ejpam-5249	102	36	)	)	PUNCT
ejpam-5249	102	37	∈	∈	PROPN
ejpam-5249	102	38	z	z	NOUN
ejpam-5249	102	39	satisfies	satisfy	VERB
ejpam-5249	102	40	u(t	u(t	NOUN
ejpam-5249	102	41	)	)	PUNCT
ejpam-5249	102	42	∈	∈	PROPN
ejpam-5249	102	43	r3	r3	PROPN
ejpam-5249	102	44	+	+	CCONJ
ejpam-5249	102	45	for	for	ADP
ejpam-5249	102	46	all	all	DET
ejpam-5249	102	47	t	t	PROPN
ejpam-5249	102	48	≥	≥	NOUN
ejpam-5249	102	49	0	0	NUM
ejpam-5249	102	50	.	.	PUNCT
ejpam-5249	103	1	therefore	therefore	ADV
ejpam-5249	103	2	,	,	PUNCT
ejpam-5249	103	3	the	the	DET
ejpam-5249	103	4	solution	solution	NOUN
ejpam-5249	103	5	to	to	ADP
ejpam-5249	103	6	the	the	DET
ejpam-5249	103	7	system	system	NOUN
ejpam-5249	103	8	(	(	PUNCT
ejpam-5249	103	9	5)−(7	5)−(7	NOUN
ejpam-5249	103	10	)	)	PUNCT
ejpam-5249	103	11	occurs	occur	VERB
ejpam-5249	103	12	within	within	ADP
ejpam-5249	103	13	the	the	DET
ejpam-5249	103	14	region	region	NOUN
ejpam-5249	103	15	r3	r3	PROPN
ejpam-5249	103	16	+	+	ADP
ejpam-5249	103	17	,	,	PUNCT
ejpam-5249	103	18	and	and	CCONJ
ejpam-5249	103	19	all	all	DET
ejpam-5249	103	20	solutions	solution	NOUN
ejpam-5249	103	21	remain	remain	VERB
ejpam-5249	103	22	non	non	ADJ
ejpam-5249	103	23	-	-	ADJ
ejpam-5249	103	24	negative	negative	ADJ
ejpam-5249	103	25	for	for	ADP
ejpam-5249	103	26	all	all	DET
ejpam-5249	103	27	t	t	NOUN
ejpam-5249	103	28	>	>	X
ejpam-5249	103	29	0	0	X
ejpam-5249	103	30	.	.	PUNCT
ejpam-5249	104	1	thus	thus	ADV
ejpam-5249	104	2	,	,	PUNCT
ejpam-5249	104	3	the	the	DET
ejpam-5249	104	4	positive	positive	ADJ
ejpam-5249	104	5	cone	cone	NOUN
ejpam-5249	104	6	r3	r3	PROPN
ejpam-5249	104	7	+	+	CCONJ
ejpam-5249	104	8	is	be	AUX
ejpam-5249	104	9	an	an	DET
ejpam-5249	104	10	invariant	invariant	ADJ
ejpam-5249	104	11	region	region	NOUN
ejpam-5249	104	12	.	.	PUNCT
ejpam-5249	105	1	3.2	3.2	NUM
ejpam-5249	105	2	.	.	PUNCT
ejpam-5249	105	3	boundedness	boundednes	VERB
ejpam-5249	105	4	the	the	DET
ejpam-5249	105	5	total	total	ADJ
ejpam-5249	105	6	tree	tree	NOUN
ejpam-5249	105	7	population	population	NOUN
ejpam-5249	106	1	n	n	NOUN
ejpam-5249	106	2	=	=	PUNCT
ejpam-5249	106	3	x	x	SYM
ejpam-5249	106	4	+	+	NOUN
ejpam-5249	106	5	y	y	PROPN
ejpam-5249	106	6	satisfies	satisfy	VERB
ejpam-5249	106	7	dx	dx	PROPN
ejpam-5249	106	8	dt	dt	PROPN
ejpam-5249	107	1	+	+	CCONJ
ejpam-5249	107	2	dy	dy	X
ejpam-5249	107	3	dt	dt	NOUN
ejpam-5249	107	4	=	=	PROPN
ejpam-5249	107	5	bx	bx	X
ejpam-5249	107	6	(	(	PUNCT
ejpam-5249	107	7	1−	1−	NUM
ejpam-5249	107	8	x	x	X
ejpam-5249	108	1	+	+	NOUN
ejpam-5249	108	2	y	y	PROPN
ejpam-5249	108	3	v	v	NOUN
ejpam-5249	108	4	)	)	PUNCT
ejpam-5249	108	5	−axc+ax(t	−axc+ax(t	PROPN
ejpam-5249	108	6	−	−	PROPN
ejpam-5249	109	1	τ)c(t	τ)c(t	NOUN
ejpam-5249	109	2	−	−	PROPN
ejpam-5249	109	3	τ)−µy	τ)−µy	PROPN
ejpam-5249	109	4	,	,	PUNCT
ejpam-5249	109	5	d	d	X
ejpam-5249	109	6	(	(	PUNCT
ejpam-5249	109	7	x	x	PROPN
ejpam-5249	109	8	+	+	NOUN
ejpam-5249	109	9	y	y	NOUN
ejpam-5249	109	10	)	)	PUNCT
ejpam-5249	109	11	dt	dt	PUNCT
ejpam-5249	110	1	+	+	NOUN
ejpam-5249	110	2	ηx	ηx	ADJ
ejpam-5249	110	3	+	+	ADJ
ejpam-5249	110	4	ηy	ηy	ADJ
ejpam-5249	110	5	=	=	ADJ
ejpam-5249	110	6	bx	bx	X
ejpam-5249	110	7	(	(	PUNCT
ejpam-5249	110	8	1−	1−	NUM
ejpam-5249	110	9	x	x	X
ejpam-5249	110	10	+	+	NOUN
ejpam-5249	110	11	y	y	PROPN
ejpam-5249	110	12	v	v	NOUN
ejpam-5249	110	13	)	)	PUNCT
ejpam-5249	110	14	−axc+ax(t	−axc+ax(t	PROPN
ejpam-5249	110	15	−	−	PROPN
ejpam-5249	111	1	τ)c(t	τ)c(t	NOUN
ejpam-5249	111	2	−	−	PROPN
ejpam-5249	111	3	τ)−µy	τ)−µy	PUNCT
ejpam-5249	112	1	+	+	ADP
ejpam-5249	112	2	ηx	ηx	ADJ
ejpam-5249	112	3	+	+	ADJ
ejpam-5249	112	4	ηy	ηy	ADJ
ejpam-5249	112	5	,	,	PUNCT
ejpam-5249	112	6	dn	dn	ADP
ejpam-5249	112	7	dt	dt	PROPN
ejpam-5249	113	1	+	+	PROPN
ejpam-5249	113	2	ηn	ηn	PROPN
ejpam-5249	113	3	≤−bx	≤−bx	PROPN
ejpam-5249	113	4	(	(	PUNCT
ejpam-5249	113	5	n	n	CCONJ
ejpam-5249	113	6	v	v	NOUN
ejpam-5249	113	7	)	)	PUNCT
ejpam-5249	113	8	−axc+ax(t	−axc+ax(t	PROPN
ejpam-5249	113	9	−	−	PROPN
ejpam-5249	113	10	τ)c(t	τ)c(t	NOUN
ejpam-5249	113	11	−	−	NUM
ejpam-5249	113	12	τ)+(b+η)x	τ)+(b+η)x	X
ejpam-5249	113	13	+	+	PROPN
ejpam-5249	113	14	(	(	PUNCT
ejpam-5249	113	15	η	η	NOUN
ejpam-5249	113	16	−µ)y	−µ)y	NOUN
ejpam-5249	113	17	,	,	PUNCT
ejpam-5249	113	18	dn	dn	ADP
ejpam-5249	113	19	dt	dt	PROPN
ejpam-5249	114	1	+	+	ADJ
ejpam-5249	114	2	ηn	ηn	PROPN
ejpam-5249	114	3	≤−bx2	≤−bx2	NUM
ejpam-5249	114	4	v	v	NOUN
ejpam-5249	114	5	+	+	NOUN
ejpam-5249	114	6	(	(	PUNCT
ejpam-5249	114	7	b+η)x	b+η)x	ADV
ejpam-5249	114	8	,	,	PUNCT
ejpam-5249	114	9	here	here	ADV
ejpam-5249	114	10	η	η	X
ejpam-5249	114	11	<	<	X
ejpam-5249	114	12	µ	µ	X
ejpam-5249	114	13	.	.	PUNCT
ejpam-5249	115	1	it	it	PRON
ejpam-5249	115	2	seems	seem	VERB
ejpam-5249	115	3	clear	clear	ADJ
ejpam-5249	115	4	that	that	SCONJ
ejpam-5249	115	5	−bx2	−bx2	NUM
ejpam-5249	115	6	v	v	ADP
ejpam-5249	115	7	+	+	NOUN
ejpam-5249	115	8	(	(	PUNCT
ejpam-5249	115	9	b+η)x	b+η)x	ADV
ejpam-5249	115	10	is	be	AUX
ejpam-5249	115	11	quadratic	quadratic	ADJ
ejpam-5249	115	12	in	in	ADP
ejpam-5249	115	13	x	x	PUNCT
ejpam-5249	115	14	and	and	CCONJ
ejpam-5249	115	15	its	its	PRON
ejpam-5249	115	16	maximum	maximum	ADJ
ejpam-5249	115	17	value	value	NOUN
ejpam-5249	115	18	is	be	AUX
ejpam-5249	115	19	(	(	PUNCT
ejpam-5249	115	20	b+η)2v	b+η)2v	NOUN
ejpam-5249	115	21	4b	4b	X
ejpam-5249	115	22	.	.	PUNCT
ejpam-5249	116	1	dn	dn	NOUN
ejpam-5249	116	2	dt	dt	PROPN
ejpam-5249	117	1	+	+	ADJ
ejpam-5249	117	2	ηn	ηn	PROPN
ejpam-5249	117	3	≤	≤	ADJ
ejpam-5249	117	4	l	l	NOUN
ejpam-5249	117	5	,	,	PUNCT
ejpam-5249	117	6	b.	b.	PROPN
ejpam-5249	117	7	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	117	8	,	,	PUNCT
ejpam-5249	117	9	r.	r.	PROPN
ejpam-5249	117	10	senthamarai	senthamarai	PROPN
ejpam-5249	117	11	/	/	SYM
ejpam-5249	117	12	eur	eur	PROPN
ejpam-5249	117	13	.	.	PUNCT
ejpam-5249	118	1	j.	j.	PROPN
ejpam-5249	118	2	pure	pure	PROPN
ejpam-5249	118	3	appl	appl	PROPN
ejpam-5249	118	4	.	.	PROPN
ejpam-5249	118	5	math	math	PROPN
ejpam-5249	118	6	,	,	PUNCT
ejpam-5249	118	7	17	17	NUM
ejpam-5249	118	8	(	(	PUNCT
ejpam-5249	118	9	3	3	NUM
ejpam-5249	118	10	)	)	PUNCT
ejpam-5249	118	11	(	(	PUNCT
ejpam-5249	118	12	2024	2024	NUM
ejpam-5249	118	13	)	)	PUNCT
ejpam-5249	118	14	,	,	PUNCT
ejpam-5249	118	15	1908	1908	NUM
ejpam-5249	118	16	-	-	SYM
ejpam-5249	118	17	1936	1936	NUM
ejpam-5249	118	18	1912	1912	NUM
ejpam-5249	118	19	where	where	SCONJ
ejpam-5249	118	20	l	l	NOUN
ejpam-5249	118	21	=	=	PUNCT
ejpam-5249	118	22	(	(	PUNCT
ejpam-5249	118	23	r+η)2v	r+η)2v	ADP
ejpam-5249	118	24	4b	4b	PROPN
ejpam-5249	118	25	,	,	PUNCT
ejpam-5249	118	26	0	0	NUM
ejpam-5249	118	27	≤	≤	NUM
ejpam-5249	118	28	n(t)≤	n(t)≤	NOUN
ejpam-5249	118	29	e−ηt	e−ηt	ADJ
ejpam-5249	118	30	(	(	PUNCT
ejpam-5249	118	31	n(0)−	n(0)−	PROPN
ejpam-5249	118	32	l	l	PROPN
ejpam-5249	118	33	η	η	PROPN
ejpam-5249	118	34	)	)	PUNCT
ejpam-5249	119	1	+	+	NUM
ejpam-5249	119	2	l	l	PROPN
ejpam-5249	119	3	η	η	X
ejpam-5249	119	4	(	(	PUNCT
ejpam-5249	119	5	9	9	NUM
ejpam-5249	119	6	)	)	PUNCT
ejpam-5249	119	7	as	as	ADP
ejpam-5249	119	8	t−→∞	t−→∞	PROPN
ejpam-5249	119	9	,	,	PUNCT
ejpam-5249	119	10	n(t)−→	n(t)−→	PROPN
ejpam-5249	119	11	l	l	PROPN
ejpam-5249	119	12	η	η	PROPN
ejpam-5249	119	13	since	since	SCONJ
ejpam-5249	119	14	supt−→∞	supt−→∞	NOUN
ejpam-5249	119	15	c(t)=	c(t)=	NOUN
ejpam-5249	119	16	1	1	NUM
ejpam-5249	119	17	wη	wη	INTJ
ejpam-5249	119	18	as	as	ADP
ejpam-5249	119	19	a	a	DET
ejpam-5249	119	20	result	result	NOUN
ejpam-5249	119	21	of	of	ADP
ejpam-5249	119	22	using	use	VERB
ejpam-5249	119	23	the	the	DET
ejpam-5249	119	24	bound	bind	VERB
ejpam-5249	119	25	of	of	ADP
ejpam-5249	119	26	y.	y.	PROPN
ejpam-5249	119	27	therefore	therefore	ADV
ejpam-5249	119	28	,	,	PUNCT
ejpam-5249	119	29	the	the	DET
ejpam-5249	119	30	following	follow	VERB
ejpam-5249	119	31	positive	positive	ADJ
ejpam-5249	119	32	invariant	invariant	ADJ
ejpam-5249	119	33	set	set	NOUN
ejpam-5249	119	34	represents	represent	VERB
ejpam-5249	119	35	the	the	DET
ejpam-5249	119	36	biologically	biologically	ADV
ejpam-5249	119	37	viable	viable	ADJ
ejpam-5249	119	38	range	range	NOUN
ejpam-5249	119	39	of	of	ADP
ejpam-5249	119	40	the	the	DET
ejpam-5249	119	41	system	system	NOUN
ejpam-5249	119	42	represented	represent	VERB
ejpam-5249	119	43	by	by	ADP
ejpam-5249	119	44	eqs.(5	eqs.(5	PROPN
ejpam-5249	119	45	)	)	PUNCT
ejpam-5249	119	46	–	–	PUNCT
ejpam-5249	119	47	(	(	PUNCT
ejpam-5249	119	48	7	7	NUM
ejpam-5249	119	49	)	)	PUNCT
ejpam-5249	119	50	.	.	PUNCT
ejpam-5249	120	1	ω	ω	NOUN
ejpam-5249	120	2	=	=	SYM
ejpam-5249	120	3	{	{	PUNCT
ejpam-5249	120	4	(	(	PUNCT
ejpam-5249	120	5	x	x	INTJ
ejpam-5249	120	6	,	,	PUNCT
ejpam-5249	120	7	y	y	PROPN
ejpam-5249	120	8	,	,	PUNCT
ejpam-5249	120	9	c	c	NOUN
ejpam-5249	120	10	)	)	PUNCT
ejpam-5249	120	11	∈	∈	PROPN
ejpam-5249	120	12	r3	r3	PROPN
ejpam-5249	120	13	+	+	NOUN
ejpam-5249	120	14	|0	|0	NUM
ejpam-5249	120	15	≤	≤	NUM
ejpam-5249	120	16	x	x	PUNCT
ejpam-5249	120	17	,	,	PUNCT
ejpam-5249	120	18	y	y	PROPN
ejpam-5249	120	19	≤	≤	PROPN
ejpam-5249	120	20	l	l	PROPN
ejpam-5249	120	21	η	η	PROPN
ejpam-5249	120	22	,	,	PUNCT
ejpam-5249	120	23	c	c	PROPN
ejpam-5249	120	24	≤	≤	NUM
ejpam-5249	120	25	l	l	NOUN
ejpam-5249	120	26	wη	wη	INTJ
ejpam-5249	120	27	}	}	SYM
ejpam-5249	120	28	4	4	NUM
ejpam-5249	120	29	.	.	PUNCT
ejpam-5249	120	30	reproduction	reproduction	NOUN
ejpam-5249	120	31	number	number	NOUN
ejpam-5249	120	32	if	if	SCONJ
ejpam-5249	120	33	τ	τ	PROPN
ejpam-5249	120	34	=	=	SYM
ejpam-5249	120	35	0	0	NUM
ejpam-5249	120	36	,	,	PUNCT
ejpam-5249	120	37	disease	disease	NOUN
ejpam-5249	120	38	class	class	NOUN
ejpam-5249	120	39	eqs.(6	eqs.(6	PROPN
ejpam-5249	120	40	)	)	PUNCT
ejpam-5249	120	41	,	,	PUNCT
ejpam-5249	120	42	(	(	PUNCT
ejpam-5249	120	43	7	7	X
ejpam-5249	120	44	)	)	PUNCT
ejpam-5249	120	45	describe	describe	VERB
ejpam-5249	120	46	the	the	DET
ejpam-5249	120	47	population	population	NOUN
ejpam-5249	120	48	inputs	input	NOUN
ejpam-5249	120	49	that	that	PRON
ejpam-5249	120	50	are	be	AUX
ejpam-5249	120	51	related	relate	VERB
ejpam-5249	120	52	to	to	ADP
ejpam-5249	120	53	the	the	DET
ejpam-5249	120	54	size	size	NOUN
ejpam-5249	120	55	of	of	ADP
ejpam-5249	120	56	the	the	DET
ejpam-5249	120	57	population	population	NOUN
ejpam-5249	120	58	and	and	CCONJ
ejpam-5249	120	59	the	the	DET
ejpam-5249	120	60	number	number	NOUN
ejpam-5249	120	61	of	of	ADP
ejpam-5249	120	62	initial	initial	ADJ
ejpam-5249	120	63	infections	infection	NOUN
ejpam-5249	120	64	.	.	PUNCT
ejpam-5249	121	1	4.1	4.1	NUM
ejpam-5249	121	2	.	.	PUNCT
ejpam-5249	121	3	disease	disease	NOUN
ejpam-5249	121	4	class	class	NOUN
ejpam-5249	121	5	f	f	PROPN
ejpam-5249	121	6	=	=	PRON
ejpam-5249	122	1	[	[	PUNCT
ejpam-5249	122	2	axc	axc	NOUN
ejpam-5249	122	3	0	0	NUM
ejpam-5249	122	4	]	]	SYM
ejpam-5249	122	5	v	v	X
ejpam-5249	122	6	=	=	PUNCT
ejpam-5249	122	7	[	[	PUNCT
ejpam-5249	122	8	−µy	−µy	PROPN
ejpam-5249	122	9	wy	wy	PROPN
ejpam-5249	122	10	−	−	PROPN
ejpam-5249	122	11	sc	sc	PROPN
ejpam-5249	122	12	]	]	PUNCT
ejpam-5249	122	13	constructing	construct	VERB
ejpam-5249	122	14	f	f	NOUN
ejpam-5249	122	15	matrix	matrix	NOUN
ejpam-5249	122	16	let	let	VERB
ejpam-5249	122	17	f	f	PROPN
ejpam-5249	122	18	(	(	PUNCT
ejpam-5249	122	19	y1c	y1c	PROPN
ejpam-5249	122	20	)	)	PUNCT
ejpam-5249	122	21	=	=	SYM
ejpam-5249	122	22	axc	axc	PROPN
ejpam-5249	122	23	,	,	PUNCT
ejpam-5249	122	24	g(y1c	g(y1c	NOUN
ejpam-5249	122	25	)	)	PUNCT
ejpam-5249	122	26	=	=	SYM
ejpam-5249	123	1	0	0	NUM
ejpam-5249	123	2	f	f	X
ejpam-5249	123	3	=	=	X
ejpam-5249	124	1	[	[	PUNCT
ejpam-5249	124	2	∂	∂	NOUN
ejpam-5249	124	3	f	f	PROPN
ejpam-5249	124	4	∂y	∂y	PROPN
ejpam-5249	124	5	∂	∂	PROPN
ejpam-5249	124	6	f	f	PROPN
ejpam-5249	124	7	∂c	∂c	PROPN
ejpam-5249	125	1	∂g	∂g	PROPN
ejpam-5249	125	2	∂y	∂y	PROPN
ejpam-5249	125	3	∂g	∂g	PROPN
ejpam-5249	125	4	∂c	∂c	PROPN
ejpam-5249	125	5	]	]	PUNCT
ejpam-5249	126	1	=	=	PUNCT
ejpam-5249	126	2	[	[	PUNCT
ejpam-5249	126	3	0	0	NUM
ejpam-5249	126	4	ax	ax	NOUN
ejpam-5249	126	5	0	0	NUM
ejpam-5249	126	6	0	0	NUM
ejpam-5249	126	7	]	]	PUNCT
ejpam-5249	126	8	∂	∂	NOUN
ejpam-5249	126	9	f	f	X
ejpam-5249	126	10	∂y	∂y	X
ejpam-5249	126	11	=	=	SYM
ejpam-5249	126	12	0	0	NUM
ejpam-5249	126	13	∂	∂	NUM
ejpam-5249	127	1	f	f	X
ejpam-5249	127	2	∂c	∂c	NOUN
ejpam-5249	128	1	=	=	NOUN
ejpam-5249	128	2	ax	ax	NOUN
ejpam-5249	128	3	∂g	∂g	PROPN
ejpam-5249	128	4	∂y	∂y	SYM
ejpam-5249	128	5	=	=	SYM
ejpam-5249	128	6	0	0	PUNCT
ejpam-5249	129	1	∂g	∂g	PROPN
ejpam-5249	129	2	∂c	∂c	PUNCT
ejpam-5249	130	1	=	=	SYM
ejpam-5249	130	2	0	0	NUM
ejpam-5249	130	3	constructing	construct	VERB
ejpam-5249	130	4	v	v	PRON
ejpam-5249	130	5	matrix	matrix	NOUN
ejpam-5249	130	6	let	let	VERB
ejpam-5249	130	7	f	f	PROPN
ejpam-5249	130	8	(	(	PUNCT
ejpam-5249	130	9	y1c	y1c	PROPN
ejpam-5249	130	10	)	)	PUNCT
ejpam-5249	130	11	=	=	SYM
ejpam-5249	130	12	−µy	−µy	PROPN
ejpam-5249	130	13	,	,	PUNCT
ejpam-5249	130	14	g(y1c	g(y1c	PROPN
ejpam-5249	130	15	)	)	PUNCT
ejpam-5249	130	16	=	=	SYM
ejpam-5249	130	17	wy	wy	PROPN
ejpam-5249	130	18	−	−	PROPN
ejpam-5249	130	19	sc	sc	PROPN
ejpam-5249	130	20	v	v	NOUN
ejpam-5249	130	21	=	=	X
ejpam-5249	130	22	[	[	PUNCT
ejpam-5249	130	23	∂	∂	NOUN
ejpam-5249	130	24	f	f	PROPN
ejpam-5249	130	25	∂y	∂y	PROPN
ejpam-5249	130	26	∂	∂	PROPN
ejpam-5249	130	27	f	f	PROPN
ejpam-5249	130	28	∂c	∂c	PROPN
ejpam-5249	131	1	∂g	∂g	PROPN
ejpam-5249	131	2	∂y	∂y	PROPN
ejpam-5249	131	3	∂g	∂g	PROPN
ejpam-5249	131	4	∂c	∂c	PROPN
ejpam-5249	131	5	]	]	PUNCT
ejpam-5249	132	1	=	=	PUNCT
ejpam-5249	132	2	[	[	PUNCT
ejpam-5249	132	3	−µ	−µ	NOUN
ejpam-5249	132	4	0	0	NUM
ejpam-5249	132	5	w	w	PROPN
ejpam-5249	132	6	−s	−s	NOUN
ejpam-5249	132	7	]	]	PUNCT
ejpam-5249	132	8	∂	∂	PUNCT
ejpam-5249	132	9	f	f	X
ejpam-5249	132	10	∂y	∂y	PROPN
ejpam-5249	132	11	=	=	PROPN
ejpam-5249	132	12	−µ	−µ	NOUN
ejpam-5249	132	13	∂	∂	NOUN
ejpam-5249	132	14	f	f	X
ejpam-5249	132	15	∂c	∂c	PROPN
ejpam-5249	133	1	=	=	SYM
ejpam-5249	133	2	0	0	PUNCT
ejpam-5249	134	1	∂g	∂g	PROPN
ejpam-5249	134	2	∂y	∂y	NOUN
ejpam-5249	134	3	=	=	PUNCT
ejpam-5249	134	4	w	w	PROPN
ejpam-5249	134	5	∂g	∂g	PROPN
ejpam-5249	134	6	∂c	∂c	PROPN
ejpam-5249	134	7	=	=	NUM
ejpam-5249	134	8	−s	−s	NOUN
ejpam-5249	134	9	|fv−1	|fv−1	NUM
ejpam-5249	134	10	−λ	−λ	NOUN
ejpam-5249	134	11	i|=	i|=	NOUN
ejpam-5249	134	12	0	0	NUM
ejpam-5249	134	13	(	(	PUNCT
ejpam-5249	134	14	10	10	NUM
ejpam-5249	134	15	)	)	PUNCT
ejpam-5249	134	16	by	by	ADP
ejpam-5249	134	17	substituting	substitute	VERB
ejpam-5249	134	18	and	and	CCONJ
ejpam-5249	134	19	solving	solve	VERB
ejpam-5249	134	20	eq.(10	eq.(10	NOUN
ejpam-5249	134	21	)	)	PUNCT
ejpam-5249	134	22	using	use	VERB
ejpam-5249	134	23	next	next	ADJ
ejpam-5249	134	24	-	-	PUNCT
ejpam-5249	134	25	generation	generation	NOUN
ejpam-5249	134	26	matrix	matrix	NOUN
ejpam-5249	134	27	invented	invent	VERB
ejpam-5249	134	28	by	by	ADP
ejpam-5249	134	29	diekmann	diekmann	PROPN
ejpam-5249	134	30	et	et	PROPN
ejpam-5249	134	31	al	al	PROPN
ejpam-5249	134	32	.	.	PUNCT
ejpam-5249	135	1	[	[	X
ejpam-5249	135	2	10	10	NUM
ejpam-5249	135	3	]	]	PUNCT
ejpam-5249	135	4	.	.	PUNCT
ejpam-5249	136	1	by	by	ADP
ejpam-5249	136	2	using	use	VERB
ejpam-5249	136	3	it	it	PRON
ejpam-5249	136	4	,	,	PUNCT
ejpam-5249	136	5	we	we	PRON
ejpam-5249	136	6	can	can	AUX
ejpam-5249	136	7	find	find	VERB
ejpam-5249	136	8	the	the	DET
ejpam-5249	136	9	dominant	dominant	ADJ
ejpam-5249	136	10	eigen	eigen	PROPN
ejpam-5249	136	11	value	value	NOUN
ejpam-5249	136	12	which	which	PRON
ejpam-5249	136	13	is	be	AUX
ejpam-5249	136	14	called	call	VERB
ejpam-5249	136	15	the	the	DET
ejpam-5249	136	16	basic	basic	ADJ
ejpam-5249	136	17	reproduction	reproduction	NOUN
ejpam-5249	136	18	number	number	NOUN
ejpam-5249	136	19	(	(	PUNCT
ejpam-5249	136	20	r0	r0	NOUN
ejpam-5249	136	21	)	)	PUNCT
ejpam-5249	136	22	,	,	PUNCT
ejpam-5249	136	23	since	since	SCONJ
ejpam-5249	136	24	avw	avw	NOUN
ejpam-5249	136	25	µs	µs	NOUN
ejpam-5249	136	26	is	be	AUX
ejpam-5249	136	27	the	the	DET
ejpam-5249	136	28	dominant	dominant	ADJ
ejpam-5249	136	29	eigen	eigen	PROPN
ejpam-5249	136	30	value	value	NOUN
ejpam-5249	136	31	.	.	PUNCT
ejpam-5249	137	1	r0	r0	NOUN
ejpam-5249	137	2	=	=	PUNCT
ejpam-5249	137	3	avw	avw	NOUN
ejpam-5249	137	4	µs	µs	X
ejpam-5249	137	5	(	(	PUNCT
ejpam-5249	137	6	11	11	NUM
ejpam-5249	137	7	)	)	PUNCT
ejpam-5249	137	8	b.	b.	PROPN
ejpam-5249	137	9	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	137	10	,	,	PUNCT
ejpam-5249	137	11	r.	r.	PROPN
ejpam-5249	137	12	senthamarai	senthamarai	PROPN
ejpam-5249	137	13	/	/	SYM
ejpam-5249	137	14	eur	eur	PROPN
ejpam-5249	137	15	.	.	PUNCT
ejpam-5249	138	1	j.	j.	PROPN
ejpam-5249	138	2	pure	pure	PROPN
ejpam-5249	138	3	appl	appl	PROPN
ejpam-5249	138	4	.	.	PROPN
ejpam-5249	138	5	math	math	PROPN
ejpam-5249	138	6	,	,	PUNCT
ejpam-5249	138	7	17	17	NUM
ejpam-5249	138	8	(	(	PUNCT
ejpam-5249	138	9	3	3	NUM
ejpam-5249	138	10	)	)	PUNCT
ejpam-5249	138	11	(	(	PUNCT
ejpam-5249	138	12	2024	2024	NUM
ejpam-5249	138	13	)	)	PUNCT
ejpam-5249	138	14	,	,	PUNCT
ejpam-5249	138	15	1908	1908	NUM
ejpam-5249	138	16	-	-	SYM
ejpam-5249	138	17	1936	1936	NUM
ejpam-5249	138	18	1913	1913	NUM
ejpam-5249	138	19	5	5	NUM
ejpam-5249	138	20	.	.	PUNCT
ejpam-5249	139	1	analysis	analysis	NOUN
ejpam-5249	139	2	of	of	ADP
ejpam-5249	139	3	the	the	DET
ejpam-5249	139	4	system	system	NOUN
ejpam-5249	139	5	’s	’s	PART
ejpam-5249	139	6	stability	stability	NOUN
ejpam-5249	139	7	with	with	ADP
ejpam-5249	139	8	delay	delay	NOUN
ejpam-5249	139	9	we	we	PRON
ejpam-5249	139	10	express	express	VERB
ejpam-5249	139	11	linearized	linearized	ADJ
ejpam-5249	139	12	system	system	NOUN
ejpam-5249	139	13	of	of	ADP
ejpam-5249	139	14	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	139	15	)	)	PUNCT
ejpam-5249	139	16	in	in	ADP
ejpam-5249	139	17	matrix	matrix	NOUN
ejpam-5249	139	18	form	form	NOUN
ejpam-5249	139	19	as	as	SCONJ
ejpam-5249	139	20	follows	follow	VERB
ejpam-5249	139	21	:	:	PUNCT
ejpam-5249	139	22	d	d	NOUN
ejpam-5249	139	23	dt	dt	PUNCT
ejpam-5249	139	24	x(t	x(t	PROPN
ejpam-5249	139	25	)	)	PUNCT
ejpam-5249	139	26	y	y	PROPN
ejpam-5249	139	27	(	(	PUNCT
ejpam-5249	139	28	t	t	NOUN
ejpam-5249	139	29	)	)	PUNCT
ejpam-5249	139	30	c(t	c(t	PROPN
ejpam-5249	139	31	)	)	PUNCT
ejpam-5249	139	32	=	=	PROPN
ejpam-5249	139	33	a1	a1	NOUN
ejpam-5249	139	34	x(t	x(t	PROPN
ejpam-5249	139	35	)	)	PUNCT
ejpam-5249	139	36	y	y	PROPN
ejpam-5249	139	37	(	(	PUNCT
ejpam-5249	139	38	t	t	NOUN
ejpam-5249	139	39	)	)	PUNCT
ejpam-5249	139	40	c(t	c(t	PROPN
ejpam-5249	139	41	)	)	PUNCT
ejpam-5249	139	42	+a2	+a2	NOUN
ejpam-5249	139	43	x(t	x(t	PROPN
ejpam-5249	139	44	−	−	PROPN
ejpam-5249	139	45	τ	τ	PROPN
ejpam-5249	139	46	)	)	PUNCT
ejpam-5249	139	47	y	y	PROPN
ejpam-5249	139	48	(	(	PUNCT
ejpam-5249	139	49	t	t	PROPN
ejpam-5249	139	50	−	−	PROPN
ejpam-5249	139	51	τ	τ	PROPN
ejpam-5249	139	52	)	)	PUNCT
ejpam-5249	139	53	c(t	c(t	PROPN
ejpam-5249	139	54	−	−	PROPN
ejpam-5249	139	55	τ	τ	NOUN
ejpam-5249	139	56	)	)	PUNCT
ejpam-5249	139	57			NOUN
ejpam-5249	139	58	,	,	PUNCT
ejpam-5249	139	59	where	where	SCONJ
ejpam-5249	139	60	a1	a1	NOUN
ejpam-5249	139	61	and	and	CCONJ
ejpam-5249	139	62	a2	a2	PROPN
ejpam-5249	139	63	are	be	AUX
ejpam-5249	139	64	,	,	PUNCT
ejpam-5249	139	65	a1	a1	NOUN
ejpam-5249	139	66	=	=	SYM
ejpam-5249	139	67	b	b	PROPN
ejpam-5249	139	68	(	(	PUNCT
ejpam-5249	139	69	1−	1−	NUM
ejpam-5249	139	70	x+y	x+y	NUM
ejpam-5249	139	71	v	v	NOUN
ejpam-5249	139	72	)	)	PUNCT
ejpam-5249	139	73	−	−	PROPN
ejpam-5249	140	1	bx	bx	NOUN
ejpam-5249	140	2	v	v	VERB
ejpam-5249	140	3	−ac	−ac	NOUN
ejpam-5249	140	4	−bx	−bx	PROPN
ejpam-5249	140	5	v	v	NUM
ejpam-5249	140	6	−ax	−ax	NOUN
ejpam-5249	140	7	0	0	PUNCT
ejpam-5249	140	8	−µ	−µ	NOUN
ejpam-5249	140	9	0	0	NUM
ejpam-5249	140	10	0	0	NUM
ejpam-5249	140	11	w	w	NOUN
ejpam-5249	140	12	−s	−s	NOUN
ejpam-5249	140	13			NOUN
ejpam-5249	140	14	,	,	PUNCT
ejpam-5249	140	15	a2	a2	PROPN
ejpam-5249	140	16	=	=	SYM
ejpam-5249	140	17			PROPN
ejpam-5249	140	18	0	0	NUM
ejpam-5249	140	19	0	0	NUM
ejpam-5249	140	20	0	0	NUM
ejpam-5249	141	1	ac	ac	NOUN
ejpam-5249	141	2	0	0	NUM
ejpam-5249	141	3	ax	ax	NOUN
ejpam-5249	141	4	0	0	NUM
ejpam-5249	141	5	0	0	NUM
ejpam-5249	141	6	0	0	NUM
ejpam-5249	141	7			NOUN
ejpam-5249	141	8	,	,	PUNCT
ejpam-5249	141	9	(	(	PUNCT
ejpam-5249	141	10	12	12	NUM
ejpam-5249	141	11	)	)	PUNCT
ejpam-5249	141	12	the	the	DET
ejpam-5249	141	13	system	system	NOUN
ejpam-5249	141	14	’s	’s	PART
ejpam-5249	141	15	characteristic	characteristic	ADJ
ejpam-5249	141	16	equation	equation	NOUN
ejpam-5249	141	17	can	can	AUX
ejpam-5249	141	18	be	be	AUX
ejpam-5249	141	19	expressed	express	VERB
ejpam-5249	141	20	as	as	ADP
ejpam-5249	141	21	△	△	X
ejpam-5249	141	22	(	(	PUNCT
ejpam-5249	141	23	λ	λ	X
ejpam-5249	141	24	)	)	PUNCT
ejpam-5249	141	25	=	=	NOUN
ejpam-5249	142	1	|λ	|λ	ADV
ejpam-5249	142	2	i	i	PRON
ejpam-5249	142	3	−a1	−a1	VERB
ejpam-5249	142	4	−	−	PROPN
ejpam-5249	142	5	e−λτa2|=	e−λτa2|=	ADJ
ejpam-5249	142	6	0	0	NUM
ejpam-5249	142	7	,	,	PUNCT
ejpam-5249	142	8	(	(	PUNCT
ejpam-5249	142	9	13	13	NUM
ejpam-5249	142	10	)	)	PUNCT
ejpam-5249	142	11	that	that	PRON
ejpam-5249	142	12	is	is	ADV
ejpam-5249	142	13	,	,	PUNCT
ejpam-5249	142	14	the	the	DET
ejpam-5249	142	15	system	system	NOUN
ejpam-5249	142	16	given	give	VERB
ejpam-5249	142	17	by	by	ADP
ejpam-5249	142	18	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	142	19	)	)	PUNCT
ejpam-5249	142	20	possess	possess	VERB
ejpam-5249	142	21	three	three	NUM
ejpam-5249	142	22	equilibria	equilibrium	NOUN
ejpam-5249	142	23	:	:	PUNCT
ejpam-5249	142	24	(	(	PUNCT
ejpam-5249	142	25	i	i	NOUN
ejpam-5249	142	26	)	)	PUNCT
ejpam-5249	142	27	trivial	trivial	ADJ
ejpam-5249	142	28	equilibrium	equilibrium	NOUN
ejpam-5249	142	29	:	:	PUNCT
ejpam-5249	142	30	e0	e0	PROPN
ejpam-5249	142	31	=	=	SYM
ejpam-5249	142	32	(	(	PUNCT
ejpam-5249	142	33	0,0,0	0,0,0	NOUN
ejpam-5249	142	34	)	)	PUNCT
ejpam-5249	142	35	(	(	PUNCT
ejpam-5249	142	36	ii	ii	NOUN
ejpam-5249	142	37	)	)	PUNCT
ejpam-5249	142	38	pest	pest	VERB
ejpam-5249	142	39	free	free	ADJ
ejpam-5249	142	40	equilibrium	equilibrium	NOUN
ejpam-5249	142	41	:	:	PUNCT
ejpam-5249	142	42	e1	e1	NOUN
ejpam-5249	142	43	=	=	SYM
ejpam-5249	142	44	(	(	PUNCT
ejpam-5249	142	45	v,0,0	v,0,0	NOUN
ejpam-5249	142	46	)	)	PUNCT
ejpam-5249	142	47	(	(	PUNCT
ejpam-5249	142	48	iii	iii	NOUN
ejpam-5249	142	49	)	)	PUNCT
ejpam-5249	142	50	coexistence	coexistence	NOUN
ejpam-5249	142	51	equilibrium	equilibrium	NOUN
ejpam-5249	142	52	:	:	PUNCT
ejpam-5249	142	53	ē	ē	ADV
ejpam-5249	142	54	=	=	SYM
ejpam-5249	142	55	(	(	PUNCT
ejpam-5249	142	56	x∗,y	x∗,y	PROPN
ejpam-5249	142	57	∗,c∗	∗,c∗	NOUN
ejpam-5249	142	58	)	)	PUNCT
ejpam-5249	143	1	whereas	whereas	ADV
ejpam-5249	143	2	,	,	PUNCT
ejpam-5249	143	3	x∗	x∗	PROPN
ejpam-5249	143	4	=	=	PUNCT
ejpam-5249	144	1	µs	µs	NOUN
ejpam-5249	144	2	aw	aw	INTJ
ejpam-5249	144	3	y	y	NOUN
ejpam-5249	144	4	∗	∗	NOUN
ejpam-5249	144	5	=	=	SYM
ejpam-5249	144	6	sb(avw−µs	sb(avw−µs	NOUN
ejpam-5249	144	7	)	)	PUNCT
ejpam-5249	144	8	aw(sb+avw	aw(sb+avw	ADJ
ejpam-5249	144	9	)	)	PUNCT
ejpam-5249	144	10	c∗	c∗	NOUN
ejpam-5249	144	11	=	=	SYM
ejpam-5249	144	12	b(avw−µs	b(avw−µs	NOUN
ejpam-5249	144	13	)	)	PUNCT
ejpam-5249	144	14	a(sb+avw	a(sb+avw	ADV
ejpam-5249	144	15	)	)	PUNCT
ejpam-5249	144	16	(	(	PUNCT
ejpam-5249	144	17	14	14	NUM
ejpam-5249	144	18	)	)	PUNCT
ejpam-5249	144	19	5.1	5.1	NUM
ejpam-5249	144	20	.	.	PUNCT
ejpam-5249	145	1	trivial	trivial	ADJ
ejpam-5249	145	2	equilibrium	equilibrium	NOUN
ejpam-5249	145	3	:	:	PUNCT
ejpam-5249	145	4	e0	e0	PROPN
ejpam-5249	145	5	=	=	SYM
ejpam-5249	145	6	(	(	PUNCT
ejpam-5249	145	7	0,0,0	0,0,0	NOUN
ejpam-5249	145	8	)	)	PUNCT
ejpam-5249	145	9	lemma	lemma	PROPN
ejpam-5249	145	10	1	1	NUM
ejpam-5249	145	11	.	.	PUNCT
ejpam-5249	146	1	the	the	DET
ejpam-5249	146	2	system	system	NOUN
ejpam-5249	146	3	of	of	ADP
ejpam-5249	146	4	non−linear	non−linear	PROPN
ejpam-5249	146	5	delay	delay	PROPN
ejpam-5249	146	6	differential	differential	PROPN
ejpam-5249	146	7	equations	equation	NOUN
ejpam-5249	146	8	eqs.(5)−(7	eqs.(5)−(7	ADJ
ejpam-5249	146	9	)	)	PUNCT
ejpam-5249	146	10	at	at	ADP
ejpam-5249	146	11	the	the	DET
ejpam-5249	146	12	point	point	NOUN
ejpam-5249	146	13	e0	e0	PROPN
ejpam-5249	146	14	=	=	SYM
ejpam-5249	146	15	(	(	PUNCT
ejpam-5249	146	16	0,0,0	0,0,0	NOUN
ejpam-5249	146	17	)	)	PUNCT
ejpam-5249	146	18	is	be	AUX
ejpam-5249	146	19	always	always	ADV
ejpam-5249	146	20	unstable	unstable	ADJ
ejpam-5249	146	21	.	.	PUNCT
ejpam-5249	147	1	5.2	5.2	NUM
ejpam-5249	147	2	.	.	PUNCT
ejpam-5249	147	3	pest	pest	VERB
ejpam-5249	147	4	free	free	ADJ
ejpam-5249	147	5	equilibrium	equilibrium	NOUN
ejpam-5249	147	6	:	:	PUNCT
ejpam-5249	147	7	e1	e1	NOUN
ejpam-5249	147	8	=	=	SYM
ejpam-5249	147	9	(	(	PUNCT
ejpam-5249	147	10	v,0,0	v,0,0	NOUN
ejpam-5249	147	11	)	)	PUNCT
ejpam-5249	147	12	by	by	ADP
ejpam-5249	147	13	substituting	substitute	VERB
ejpam-5249	147	14	the	the	DET
ejpam-5249	147	15	equilibrium	equilibrium	NOUN
ejpam-5249	147	16	points	point	NOUN
ejpam-5249	147	17	in	in	ADP
ejpam-5249	147	18	the	the	DET
ejpam-5249	147	19	above	above	ADJ
ejpam-5249	147	20	matrixces	matrixce	NOUN
ejpam-5249	147	21	eq.(12	eq.(12	NOUN
ejpam-5249	147	22	)	)	PUNCT
ejpam-5249	147	23	,	,	PUNCT
ejpam-5249	147	24	we	we	PRON
ejpam-5249	147	25	can	can	AUX
ejpam-5249	147	26	get	get	VERB
ejpam-5249	147	27	a1	a1	NOUN
ejpam-5249	147	28	and	and	CCONJ
ejpam-5249	147	29	a2	a2	PROPN
ejpam-5249	147	30	:	:	PUNCT
ejpam-5249	147	31	a1	a1	NOUN
ejpam-5249	147	32	=	=	SYM
ejpam-5249	147	33	−b	−b	NOUN
ejpam-5249	147	34	−b	−b	ADP
ejpam-5249	147	35	−av	−av	NOUN
ejpam-5249	147	36	0	0	PUNCT
ejpam-5249	148	1	−µ	−µ	NOUN
ejpam-5249	148	2	0	0	NUM
ejpam-5249	148	3	0	0	NUM
ejpam-5249	148	4	w	w	NOUN
ejpam-5249	148	5	−s	−s	NOUN
ejpam-5249	148	6			NOUN
ejpam-5249	148	7	,	,	PUNCT
ejpam-5249	148	8	a2	a2	PROPN
ejpam-5249	148	9	=	=	PUNCT
ejpam-5249	148	10	0	0	PROPN
ejpam-5249	148	11	0	0	NUM
ejpam-5249	148	12	0	0	NUM
ejpam-5249	148	13	0	0	NUM
ejpam-5249	148	14	0	0	NUM
ejpam-5249	149	1	av	av	NOUN
ejpam-5249	149	2	0	0	NUM
ejpam-5249	149	3	0	0	NUM
ejpam-5249	149	4	0	0	NUM
ejpam-5249	149	5			NOUN
ejpam-5249	149	6	,	,	PUNCT
ejpam-5249	149	7	(	(	PUNCT
ejpam-5249	149	8	15	15	X
ejpam-5249	149	9	)	)	PUNCT
ejpam-5249	149	10	substituting	substitute	VERB
ejpam-5249	149	11	a1	a1	NOUN
ejpam-5249	149	12	and	and	CCONJ
ejpam-5249	149	13	a2	a2	PROPN
ejpam-5249	149	14	in	in	ADP
ejpam-5249	149	15	eq.(13	eq.(13	PROPN
ejpam-5249	149	16	)	)	PUNCT
ejpam-5249	149	17	,	,	PUNCT
ejpam-5249	149	18	the	the	DET
ejpam-5249	149	19	transcendental	transcendental	ADJ
ejpam-5249	149	20	equation	equation	NOUN
ejpam-5249	149	21	of	of	ADP
ejpam-5249	149	22	the	the	DET
ejpam-5249	149	23	matrix	matrix	NOUN
ejpam-5249	149	24	is	be	AUX
ejpam-5249	149	25	ψ(λ	ψ(λ	PROPN
ejpam-5249	149	26	,	,	PUNCT
ejpam-5249	149	27	τ	τ	X
ejpam-5249	149	28	)	)	PUNCT
ejpam-5249	149	29	=	=	PUNCT
ejpam-5249	149	30	λ	λ	NOUN
ejpam-5249	149	31	3	3	NUM
ejpam-5249	150	1	+	+	NOUN
ejpam-5249	150	2	d1λ	d1λ	PROPN
ejpam-5249	150	3	2	2	NUM
ejpam-5249	150	4	+	+	NOUN
ejpam-5249	150	5	d2λ	d2λ	PROPN
ejpam-5249	150	6	+	+	NUM
ejpam-5249	150	7	d3	d3	PROPN
ejpam-5249	150	8	+	+	X
ejpam-5249	150	9	e−λτ	e−λτ	X
ejpam-5249	151	1	[	[	X
ejpam-5249	151	2	b1λ	b1λ	PROPN
ejpam-5249	151	3	+	+	NOUN
ejpam-5249	151	4	b2	b2	NOUN
ejpam-5249	151	5	]	]	X
ejpam-5249	151	6	=	=	SYM
ejpam-5249	151	7	0	0	NUM
ejpam-5249	151	8	,	,	PUNCT
ejpam-5249	151	9	(	(	PUNCT
ejpam-5249	151	10	16	16	NUM
ejpam-5249	151	11	)	)	PUNCT
ejpam-5249	151	12	b.	b.	PROPN
ejpam-5249	151	13	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	151	14	,	,	PUNCT
ejpam-5249	151	15	r.	r.	PROPN
ejpam-5249	151	16	senthamarai	senthamarai	PROPN
ejpam-5249	151	17	/	/	SYM
ejpam-5249	151	18	eur	eur	PROPN
ejpam-5249	151	19	.	.	PUNCT
ejpam-5249	152	1	j.	j.	PROPN
ejpam-5249	152	2	pure	pure	PROPN
ejpam-5249	152	3	appl	appl	PROPN
ejpam-5249	152	4	.	.	PROPN
ejpam-5249	152	5	math	math	PROPN
ejpam-5249	152	6	,	,	PUNCT
ejpam-5249	152	7	17	17	NUM
ejpam-5249	152	8	(	(	PUNCT
ejpam-5249	152	9	3	3	NUM
ejpam-5249	152	10	)	)	PUNCT
ejpam-5249	152	11	(	(	PUNCT
ejpam-5249	152	12	2024	2024	NUM
ejpam-5249	152	13	)	)	PUNCT
ejpam-5249	152	14	,	,	PUNCT
ejpam-5249	152	15	1908	1908	NUM
ejpam-5249	152	16	-	-	SYM
ejpam-5249	152	17	1936	1936	NUM
ejpam-5249	152	18	1914	1914	NUM
ejpam-5249	152	19	with	with	ADP
ejpam-5249	152	20	coefficients	coefficient	NOUN
ejpam-5249	152	21	:	:	PUNCT
ejpam-5249	152	22	d1	d1	PROPN
ejpam-5249	152	23	=	=	SYM
ejpam-5249	152	24	µ	µ	X
ejpam-5249	152	25	+	+	SYM
ejpam-5249	152	26	s	s	PROPN
ejpam-5249	152	27	,	,	PUNCT
ejpam-5249	152	28	d2	d2	PROPN
ejpam-5249	152	29	=	=	SYM
ejpam-5249	152	30	µs+b	µs+b	PROPN
ejpam-5249	152	31	,	,	PUNCT
ejpam-5249	152	32	d3	d3	PROPN
ejpam-5249	152	33	=	=	SYM
ejpam-5249	152	34	bµs	bµs	PROPN
ejpam-5249	152	35	,	,	PUNCT
ejpam-5249	152	36	b1	b1	NOUN
ejpam-5249	152	37	=	=	SYM
ejpam-5249	152	38	−avw	−avw	ADV
ejpam-5249	152	39	,	,	PUNCT
ejpam-5249	152	40	b2	b2	NOUN
ejpam-5249	152	41	=	=	NOUN
ejpam-5249	152	42	−abvw	−abvw	PROPN
ejpam-5249	152	43	.	.	PUNCT
ejpam-5249	152	44	theorem	theorem	PROPN
ejpam-5249	152	45	2	2	NUM
ejpam-5249	152	46	.	.	PUNCT
ejpam-5249	153	1	the	the	DET
ejpam-5249	153	2	system	system	NOUN
ejpam-5249	153	3	given	give	VERB
ejpam-5249	153	4	by	by	ADP
ejpam-5249	153	5	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	153	6	)	)	PUNCT
ejpam-5249	153	7	around	around	ADP
ejpam-5249	153	8	the	the	DET
ejpam-5249	153	9	pest	pest	NOUN
ejpam-5249	153	10	-	-	PUNCT
ejpam-5249	153	11	free	free	ADJ
ejpam-5249	153	12	equilibrium	equilibrium	NOUN
ejpam-5249	153	13	e1	e1	NOUN
ejpam-5249	153	14	is	be	AUX
ejpam-5249	153	15	locally	locally	ADV
ejpam-5249	153	16	asymptotically	asymptotically	ADV
ejpam-5249	153	17	stable	stable	ADJ
ejpam-5249	153	18	(	(	PUNCT
ejpam-5249	153	19	las	las	NOUN
ejpam-5249	153	20	)	)	PUNCT
ejpam-5249	153	21	,	,	PUNCT
ejpam-5249	153	22	provided	provide	VERB
ejpam-5249	153	23	r0	r0	NOUN
ejpam-5249	153	24	<	<	X
ejpam-5249	153	25	1	1	NUM
ejpam-5249	153	26	.	.	PUNCT
ejpam-5249	153	27	proof	proof	NOUN
ejpam-5249	153	28	.	.	PUNCT
ejpam-5249	154	1	at	at	ADP
ejpam-5249	154	2	e1	e1	PROPN
ejpam-5249	154	3	then	then	ADV
ejpam-5249	154	4	τ	τ	PROPN
ejpam-5249	154	5	=	=	SYM
ejpam-5249	154	6	0	0	PROPN
ejpam-5249	154	7	in	in	ADP
ejpam-5249	154	8	eqn.(16	eqn.(16	NOUN
ejpam-5249	154	9	)	)	PUNCT
ejpam-5249	154	10	becomes	become	VERB
ejpam-5249	154	11	,	,	PUNCT
ejpam-5249	154	12	λ	λ	PROPN
ejpam-5249	154	13	3	3	NUM
ejpam-5249	155	1	+	+	NOUN
ejpam-5249	155	2	d1λ	d1λ	PROPN
ejpam-5249	155	3	2	2	NUM
ejpam-5249	155	4	+	+	NOUN
ejpam-5249	155	5	d2λ	d2λ	NOUN
ejpam-5249	155	6	+	+	ADP
ejpam-5249	155	7	d3	d3	PROPN
ejpam-5249	155	8	+	+	ADJ
ejpam-5249	155	9	b1λ	b1λ	ADJ
ejpam-5249	155	10	+	+	ADJ
ejpam-5249	155	11	b2	b2	NOUN
ejpam-5249	155	12	=	=	SYM
ejpam-5249	155	13	0	0	NUM
ejpam-5249	155	14	which	which	PRON
ejpam-5249	155	15	possesses	possess	VERB
ejpam-5249	155	16	the	the	DET
ejpam-5249	155	17	form	form	NOUN
ejpam-5249	155	18	λ	λ	NOUN
ejpam-5249	155	19	3	3	NUM
ejpam-5249	156	1	+	+	NOUN
ejpam-5249	156	2	d1λ	d1λ	PROPN
ejpam-5249	156	3	2	2	NUM
ejpam-5249	156	4	+	+	PROPN
ejpam-5249	156	5	(	(	PUNCT
ejpam-5249	156	6	d2	d2	PROPN
ejpam-5249	156	7	+	+	NOUN
ejpam-5249	156	8	b1)λ	b1)λ	PROPN
ejpam-5249	156	9	+	+	PRON
ejpam-5249	156	10	d3	d3	PROPN
ejpam-5249	156	11	+	+	ADJ
ejpam-5249	156	12	b2	b2	NOUN
ejpam-5249	156	13	=	=	SYM
ejpam-5249	156	14	0	0	NUM
ejpam-5249	156	15	the	the	DET
ejpam-5249	156	16	system	system	NOUN
ejpam-5249	156	17	is	be	AUX
ejpam-5249	156	18	las	las	NOUN
ejpam-5249	156	19	according	accord	VERB
ejpam-5249	156	20	to	to	ADP
ejpam-5249	156	21	the	the	DET
ejpam-5249	156	22	routh	routh	PROPN
ejpam-5249	156	23	-	-	PUNCT
ejpam-5249	156	24	hurwitz	hurwitz	PROPN
ejpam-5249	156	25	(	(	PUNCT
ejpam-5249	156	26	r	r	NOUN
ejpam-5249	156	27	-	-	PUNCT
ejpam-5249	156	28	h	h	NOUN
ejpam-5249	156	29	)	)	PUNCT
ejpam-5249	156	30	criterion	criterion	NOUN
ejpam-5249	156	31	if	if	SCONJ
ejpam-5249	156	32	d1	d1	PROPN
ejpam-5249	156	33	>	>	X
ejpam-5249	156	34	0	0	NUM
ejpam-5249	156	35	,	,	PUNCT
ejpam-5249	156	36	d3	d3	PROPN
ejpam-5249	156	37	+	+	ADJ
ejpam-5249	156	38	b2	b2	NOUN
ejpam-5249	156	39	>	>	X
ejpam-5249	156	40	0	0	PUNCT
ejpam-5249	156	41	and	and	CCONJ
ejpam-5249	156	42	d1	d1	PROPN
ejpam-5249	156	43	(	(	PUNCT
ejpam-5249	156	44	d2	d2	PROPN
ejpam-5249	156	45	+	+	PROPN
ejpam-5249	156	46	b1)>d3+b2	b1)>d3+b2	NOUN
ejpam-5249	156	47	.	.	PUNCT
ejpam-5249	156	48	hence	hence	ADV
ejpam-5249	156	49	pest	pest	VERB
ejpam-5249	156	50	free	free	ADJ
ejpam-5249	156	51	equilibrium	equilibrium	NOUN
ejpam-5249	156	52	e1	e1	NOUN
ejpam-5249	156	53	is	be	AUX
ejpam-5249	156	54	locally	locally	ADV
ejpam-5249	156	55	asymptotically	asymptotically	ADV
ejpam-5249	156	56	stable	stable	ADJ
ejpam-5249	156	57	if	if	SCONJ
ejpam-5249	156	58	avw	avw	NOUN
ejpam-5249	156	59	<	<	X
ejpam-5249	156	60	µs	µs	X
ejpam-5249	156	61	i.e.	i.e.	X
ejpam-5249	156	62	,	,	PUNCT
ejpam-5249	156	63	r0	r0	NOUN
ejpam-5249	156	64	<	<	X
ejpam-5249	156	65	1	1	NUM
ejpam-5249	156	66	.	.	X
ejpam-5249	156	67	5.3	5.3	NUM
ejpam-5249	156	68	.	.	PUNCT
ejpam-5249	157	1	coexistence	coexistence	NOUN
ejpam-5249	157	2	equilibrium	equilibrium	NOUN
ejpam-5249	157	3	:	:	PUNCT
ejpam-5249	157	4	ē	ē	ADV
ejpam-5249	157	5	=	=	SYM
ejpam-5249	157	6	(	(	PUNCT
ejpam-5249	157	7	x∗,y	x∗,y	PROPN
ejpam-5249	157	8	∗,c∗	∗,c∗	NOUN
ejpam-5249	157	9	)	)	PUNCT
ejpam-5249	157	10	by	by	ADP
ejpam-5249	157	11	substituting	substitute	VERB
ejpam-5249	157	12	the	the	DET
ejpam-5249	157	13	coexistence	coexistence	NOUN
ejpam-5249	157	14	equilibrium	equilibrium	NOUN
ejpam-5249	157	15	points	point	NOUN
ejpam-5249	157	16	in	in	ADP
ejpam-5249	157	17	the	the	DET
ejpam-5249	157	18	matrices	matrix	NOUN
ejpam-5249	157	19	(	(	PUNCT
ejpam-5249	157	20	12	12	NUM
ejpam-5249	157	21	)	)	PUNCT
ejpam-5249	157	22	.	.	PUNCT
ejpam-5249	158	1	we	we	PRON
ejpam-5249	158	2	can	can	AUX
ejpam-5249	158	3	get	get	VERB
ejpam-5249	158	4	a1	a1	NOUN
ejpam-5249	158	5	and	and	CCONJ
ejpam-5249	158	6	a2	a2	PROPN
ejpam-5249	158	7	:	:	PUNCT
ejpam-5249	159	1	a1	a1	NOUN
ejpam-5249	159	2	=	=	SYM
ejpam-5249	159	3	b	b	PROPN
ejpam-5249	159	4	(	(	PUNCT
ejpam-5249	159	5	1−	1−	NUM
ejpam-5249	159	6	x∗+y	x∗+y	PROPN
ejpam-5249	159	7	∗	∗	NOUN
ejpam-5249	159	8	v	v	NOUN
ejpam-5249	159	9	)	)	PUNCT
ejpam-5249	159	10	−	−	PROPN
ejpam-5249	159	11	bx∗	bx∗	NOUN
ejpam-5249	159	12	v	v	NUM
ejpam-5249	159	13	−ac∗	−ac∗	PROPN
ejpam-5249	159	14	−bx∗	−bx∗	PROPN
ejpam-5249	159	15	v	v	ADP
ejpam-5249	159	16	−ax∗	−ax∗	NUM
ejpam-5249	159	17	0	0	NUM
ejpam-5249	159	18	−µ	−µ	NOUN
ejpam-5249	159	19	0	0	NUM
ejpam-5249	159	20	0	0	NUM
ejpam-5249	159	21	w	w	NOUN
ejpam-5249	159	22	−s	−s	NOUN
ejpam-5249	159	23			NOUN
ejpam-5249	159	24	,	,	PUNCT
ejpam-5249	159	25	a2	a2	PROPN
ejpam-5249	159	26	=	=	SYM
ejpam-5249	159	27			PROPN
ejpam-5249	159	28	0	0	NUM
ejpam-5249	159	29	0	0	NUM
ejpam-5249	159	30	0	0	NUM
ejpam-5249	159	31	ac∗	ac∗	ADJ
ejpam-5249	159	32	0	0	NUM
ejpam-5249	159	33	ax∗	ax∗	NOUN
ejpam-5249	159	34	0	0	NUM
ejpam-5249	159	35	0	0	NUM
ejpam-5249	159	36	0	0	NUM
ejpam-5249	159	37			NOUN
ejpam-5249	159	38	,	,	PUNCT
ejpam-5249	159	39	(	(	PUNCT
ejpam-5249	159	40	17	17	NUM
ejpam-5249	159	41	)	)	PUNCT
ejpam-5249	159	42	substituting	substitute	VERB
ejpam-5249	159	43	a1	a1	NOUN
ejpam-5249	159	44	and	and	CCONJ
ejpam-5249	159	45	a2	a2	PROPN
ejpam-5249	159	46	in	in	ADP
ejpam-5249	159	47	(	(	PUNCT
ejpam-5249	159	48	13	13	NUM
ejpam-5249	159	49	)	)	PUNCT
ejpam-5249	159	50	,	,	PUNCT
ejpam-5249	159	51	the	the	DET
ejpam-5249	159	52	transcendental	transcendental	ADJ
ejpam-5249	159	53	equation	equation	NOUN
ejpam-5249	159	54	of	of	ADP
ejpam-5249	159	55	the	the	DET
ejpam-5249	159	56	matrix	matrix	NOUN
ejpam-5249	159	57	is	be	AUX
ejpam-5249	159	58	ψ(λ	ψ(λ	PROPN
ejpam-5249	159	59	,	,	PUNCT
ejpam-5249	159	60	τ	τ	X
ejpam-5249	159	61	)	)	PUNCT
ejpam-5249	159	62	=	=	PUNCT
ejpam-5249	159	63	λ	λ	NOUN
ejpam-5249	159	64	3	3	NUM
ejpam-5249	160	1	+	+	NOUN
ejpam-5249	160	2	d1λ	d1λ	PROPN
ejpam-5249	160	3	2	2	NUM
ejpam-5249	160	4	+	+	NOUN
ejpam-5249	160	5	d2λ	d2λ	PROPN
ejpam-5249	160	6	+	+	NUM
ejpam-5249	160	7	d3	d3	PROPN
ejpam-5249	160	8	+	+	X
ejpam-5249	160	9	e−λτ	e−λτ	X
ejpam-5249	161	1	[	[	X
ejpam-5249	161	2	b1λ	b1λ	PROPN
ejpam-5249	161	3	+	+	NOUN
ejpam-5249	161	4	b2	b2	NOUN
ejpam-5249	161	5	]	]	X
ejpam-5249	161	6	=	=	SYM
ejpam-5249	161	7	0	0	NUM
ejpam-5249	161	8	,	,	PUNCT
ejpam-5249	161	9	(	(	PUNCT
ejpam-5249	161	10	18	18	NUM
ejpam-5249	161	11	)	)	PUNCT
ejpam-5249	161	12	with	with	ADP
ejpam-5249	161	13	coefficients	coefficient	NOUN
ejpam-5249	161	14	:	:	PUNCT
ejpam-5249	161	15	d1	d1	PROPN
ejpam-5249	161	16	=	=	PRON
ejpam-5249	161	17	c∗a+	c∗a+	X
ejpam-5249	161	18	2x∗b	2x∗b	NUM
ejpam-5249	161	19	v	v	NOUN
ejpam-5249	161	20	+	+	CCONJ
ejpam-5249	161	21	x∗b	x∗b	PROPN
ejpam-5249	161	22	v	v	ADP
ejpam-5249	161	23	−b+µ	−b+µ	PROPN
ejpam-5249	161	24	+	+	CCONJ
ejpam-5249	161	25	s	s	PROPN
ejpam-5249	161	26	,	,	PUNCT
ejpam-5249	161	27	d2	d2	PROPN
ejpam-5249	161	28	=	=	SYM
ejpam-5249	161	29	c∗aµ	c∗aµ	PROPN
ejpam-5249	161	30	+	+	PROPN
ejpam-5249	161	31	c∗as+	c∗as+	PROPN
ejpam-5249	161	32	2x∗bµ	2x∗bµ	NUM
ejpam-5249	161	33	v	v	NOUN
ejpam-5249	161	34	+	+	NOUN
ejpam-5249	161	35	2x∗bs	2x∗bs	NUM
ejpam-5249	161	36	v	v	NOUN
ejpam-5249	161	37	+	+	CCONJ
ejpam-5249	161	38	y	y	PROPN
ejpam-5249	161	39	∗bs	∗bs	PROPN
ejpam-5249	161	40	v	v	ADP
ejpam-5249	161	41	−bs+µs	−bs+µs	PROPN
ejpam-5249	161	42	,	,	PUNCT
ejpam-5249	161	43	d3	d3	PROPN
ejpam-5249	161	44	=	=	PRON
ejpam-5249	161	45	c∗aµs+	c∗aµs+	PROPN
ejpam-5249	161	46	2x∗bµs	2x∗bµs	NUM
ejpam-5249	161	47	v	v	NOUN
ejpam-5249	161	48	−bµs	−bµs	NOUN
ejpam-5249	161	49	.	.	PUNCT
ejpam-5249	162	1	b1	b1	NOUN
ejpam-5249	162	2	=	=	SYM
ejpam-5249	162	3	c∗x∗ab	c∗x∗ab	PROPN
ejpam-5249	162	4	v	v	NOUN
ejpam-5249	162	5	−x∗aw	−x∗aw	NOUN
ejpam-5249	162	6	,	,	PUNCT
ejpam-5249	162	7	b2	b2	NOUN
ejpam-5249	162	8	=	=	NOUN
ejpam-5249	162	9	c∗x∗a2w−c∗x∗a2w+	c∗x∗a2w−c∗x∗a2w+	NOUN
ejpam-5249	162	10	c∗x∗abs	c∗x∗ab	NOUN
ejpam-5249	162	11	v	v	ADP
ejpam-5249	162	12	−	−	PROPN
ejpam-5249	162	13	2(x∗)2	2(x∗)2	NUM
ejpam-5249	162	14	abw	abw	PROPN
ejpam-5249	162	15	v	v	ADP
ejpam-5249	162	16	−	−	PROPN
ejpam-5249	162	17	x∗y	x∗y	PUNCT
ejpam-5249	162	18	∗abw	∗abw	ADP
ejpam-5249	162	19	v	v	ADP
ejpam-5249	162	20	+	+	NOUN
ejpam-5249	162	21	x∗abw	x∗abw	PROPN
ejpam-5249	162	22	.	.	PUNCT
ejpam-5249	163	1	it	it	PRON
ejpam-5249	163	2	is	be	AUX
ejpam-5249	163	3	very	very	ADV
ejpam-5249	163	4	difficult	difficult	ADJ
ejpam-5249	163	5	to	to	PART
ejpam-5249	163	6	determine	determine	VERB
ejpam-5249	163	7	the	the	DET
ejpam-5249	163	8	sign	sign	NOUN
ejpam-5249	163	9	of	of	ADP
ejpam-5249	163	10	roots	root	NOUN
ejpam-5249	163	11	when	when	SCONJ
ejpam-5249	163	12	τ	τ	PROPN
ejpam-5249	163	13	is	be	AUX
ejpam-5249	163	14	present	present	ADJ
ejpam-5249	163	15	.	.	PUNCT
ejpam-5249	164	1	if	if	SCONJ
ejpam-5249	164	2	there	there	PRON
ejpam-5249	164	3	are	be	VERB
ejpam-5249	164	4	negative	negative	ADJ
ejpam-5249	164	5	real	real	ADJ
ejpam-5249	164	6	parts	part	NOUN
ejpam-5249	164	7	in	in	ADP
ejpam-5249	164	8	each	each	PRON
ejpam-5249	164	9	of	of	ADP
ejpam-5249	164	10	the	the	DET
ejpam-5249	164	11	roots	root	NOUN
ejpam-5249	164	12	of	of	ADP
ejpam-5249	164	13	the	the	DET
ejpam-5249	164	14	related	related	ADJ
ejpam-5249	164	15	characteristic	characteristic	ADJ
ejpam-5249	164	16	equation	equation	NOUN
ejpam-5249	164	17	,	,	PUNCT
ejpam-5249	164	18	then	then	ADV
ejpam-5249	164	19	ē	ē	ADV
ejpam-5249	164	20	is	be	AUX
ejpam-5249	164	21	known	know	VERB
ejpam-5249	164	22	to	to	PART
ejpam-5249	164	23	be	be	AUX
ejpam-5249	164	24	locally	locally	ADV
ejpam-5249	164	25	asymptotically	asymptotically	ADV
ejpam-5249	164	26	stable	stable	ADJ
ejpam-5249	164	27	.	.	PUNCT
ejpam-5249	165	1	if	if	SCONJ
ejpam-5249	165	2	a	a	DET
ejpam-5249	165	3	root	root	NOUN
ejpam-5249	165	4	has	have	VERB
ejpam-5249	165	5	a	a	DET
ejpam-5249	165	6	positive	positive	ADJ
ejpam-5249	165	7	real	real	ADJ
ejpam-5249	165	8	part	part	NOUN
ejpam-5249	165	9	,	,	PUNCT
ejpam-5249	165	10	it	it	PRON
ejpam-5249	165	11	is	be	AUX
ejpam-5249	165	12	unstable	unstable	ADJ
ejpam-5249	165	13	.	.	PUNCT
ejpam-5249	166	1	if	if	SCONJ
ejpam-5249	166	2	there	there	PRON
ejpam-5249	166	3	are	be	VERB
ejpam-5249	166	4	only	only	ADV
ejpam-5249	166	5	purely	purely	ADV
ejpam-5249	166	6	imaginary	imaginary	ADJ
ejpam-5249	166	7	roots	root	NOUN
ejpam-5249	166	8	,	,	PUNCT
ejpam-5249	166	9	b.	b.	PROPN
ejpam-5249	166	10	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	166	11	,	,	PUNCT
ejpam-5249	166	12	r.	r.	PROPN
ejpam-5249	166	13	senthamarai	senthamarai	PROPN
ejpam-5249	166	14	/	/	SYM
ejpam-5249	166	15	eur	eur	PROPN
ejpam-5249	166	16	.	.	PUNCT
ejpam-5249	167	1	j.	j.	PROPN
ejpam-5249	167	2	pure	pure	PROPN
ejpam-5249	167	3	appl	appl	PROPN
ejpam-5249	167	4	.	.	PROPN
ejpam-5249	167	5	math	math	PROPN
ejpam-5249	167	6	,	,	PUNCT
ejpam-5249	167	7	17	17	NUM
ejpam-5249	167	8	(	(	PUNCT
ejpam-5249	167	9	3	3	NUM
ejpam-5249	167	10	)	)	PUNCT
ejpam-5249	167	11	(	(	PUNCT
ejpam-5249	167	12	2024	2024	NUM
ejpam-5249	167	13	)	)	PUNCT
ejpam-5249	167	14	,	,	PUNCT
ejpam-5249	167	15	1908	1908	NUM
ejpam-5249	167	16	-	-	SYM
ejpam-5249	167	17	1936	1936	NUM
ejpam-5249	167	18	1915	1915	NUM
ejpam-5249	167	19	stability	stability	NOUN
ejpam-5249	167	20	flips	flip	VERB
ejpam-5249	167	21	.	.	PUNCT
ejpam-5249	168	1	there	there	PRON
ejpam-5249	168	2	are	be	VERB
ejpam-5249	168	3	infinitely	infinitely	ADV
ejpam-5249	168	4	many	many	ADJ
ejpam-5249	168	5	complex	complex	ADJ
ejpam-5249	168	6	roots	root	NOUN
ejpam-5249	168	7	for	for	ADP
ejpam-5249	168	8	the	the	DET
ejpam-5249	168	9	transcendental	transcendental	ADJ
ejpam-5249	168	10	equation	equation	NOUN
ejpam-5249	168	11	eq.(18	eq.(18	NOUN
ejpam-5249	168	12	)	)	PUNCT
ejpam-5249	168	13	.	.	PUNCT
ejpam-5249	169	1	as	as	ADP
ejpam-5249	169	2	a	a	DET
ejpam-5249	169	3	result	result	NOUN
ejpam-5249	169	4	,	,	PUNCT
ejpam-5249	169	5	we	we	PRON
ejpam-5249	169	6	start	start	VERB
ejpam-5249	169	7	our	our	PRON
ejpam-5249	169	8	analysis	analysis	NOUN
ejpam-5249	169	9	with	with	ADP
ejpam-5249	169	10	the	the	DET
ejpam-5249	169	11	delay	delay	NOUN
ejpam-5249	169	12	set	set	VERB
ejpam-5249	169	13	to	to	ADP
ejpam-5249	169	14	zero	zero	NUM
ejpam-5249	169	15	and	and	CCONJ
ejpam-5249	169	16	subsequently	subsequently	ADV
ejpam-5249	169	17	determine	determine	VERB
ejpam-5249	169	18	the	the	DET
ejpam-5249	169	19	stability	stability	NOUN
ejpam-5249	169	20	requirements	requirement	NOUN
ejpam-5249	169	21	when	when	SCONJ
ejpam-5249	169	22	τ	τ	X
ejpam-5249	169	23	>	>	X
ejpam-5249	169	24	0	0	PROPN
ejpam-5249	169	25	.	.	PUNCT
ejpam-5249	170	1	case	case	NOUN
ejpam-5249	171	1	i	i	PRON
ejpam-5249	171	2	:	:	PUNCT
ejpam-5249	171	3	when	when	SCONJ
ejpam-5249	171	4	τ	τ	PROPN
ejpam-5249	171	5	=	=	SYM
ejpam-5249	171	6	0	0	NUM
ejpam-5249	171	7	eq.(18	eq.(18	NOUN
ejpam-5249	171	8	)	)	PUNCT
ejpam-5249	171	9	becomes	become	VERB
ejpam-5249	171	10	,	,	PUNCT
ejpam-5249	171	11	ψ(λ	ψ(λ	PUNCT
ejpam-5249	171	12	,	,	PUNCT
ejpam-5249	171	13	τ	τ	X
ejpam-5249	171	14	)	)	PUNCT
ejpam-5249	171	15	=	=	PUNCT
ejpam-5249	172	1	λ	λ	NOUN
ejpam-5249	172	2	3	3	NUM
ejpam-5249	172	3	+	+	NOUN
ejpam-5249	172	4	d1λ	d1λ	PROPN
ejpam-5249	172	5	2	2	NUM
ejpam-5249	172	6	+	+	PROPN
ejpam-5249	172	7	(	(	PUNCT
ejpam-5249	172	8	d2	d2	PROPN
ejpam-5249	172	9	+	+	NOUN
ejpam-5249	172	10	b1)λ	b1)λ	PROPN
ejpam-5249	172	11	+	+	PROPN
ejpam-5249	172	12	(	(	PUNCT
ejpam-5249	172	13	d3	d3	PROPN
ejpam-5249	172	14	+	+	NOUN
ejpam-5249	172	15	b2	b2	NOUN
ejpam-5249	172	16	)	)	PUNCT
ejpam-5249	172	17	=	=	SYM
ejpam-5249	172	18	0	0	NUM
ejpam-5249	172	19	,	,	PUNCT
ejpam-5249	172	20	(	(	PUNCT
ejpam-5249	172	21	19	19	NUM
ejpam-5249	172	22	)	)	PUNCT
ejpam-5249	172	23	according	accord	VERB
ejpam-5249	172	24	to	to	ADP
ejpam-5249	172	25	the	the	DET
ejpam-5249	172	26	routh−hurwitz	routh−hurwitz	NOUN
ejpam-5249	172	27	criterion	criterion	NOUN
ejpam-5249	172	28	,	,	PUNCT
ejpam-5249	172	29	all	all	DET
ejpam-5249	172	30	eigenvalues	eigenvalue	VERB
ejpam-5249	172	31	of	of	ADP
ejpam-5249	172	32	eq.(19	eq.(19	NOUN
ejpam-5249	172	33	)	)	PUNCT
ejpam-5249	172	34	have	have	VERB
ejpam-5249	172	35	negative	negative	ADJ
ejpam-5249	172	36	real	real	ADJ
ejpam-5249	172	37	parts	part	NOUN
ejpam-5249	172	38	if	if	SCONJ
ejpam-5249	172	39	only	only	ADV
ejpam-5249	172	40	if	if	SCONJ
ejpam-5249	172	41	d1	d1	PROPN
ejpam-5249	172	42	>	>	X
ejpam-5249	172	43	0	0	NUM
ejpam-5249	172	44	,	,	PUNCT
ejpam-5249	172	45	d3	d3	PROPN
ejpam-5249	172	46	+	+	ADJ
ejpam-5249	172	47	b2	b2	PROPN
ejpam-5249	172	48	>	>	X
ejpam-5249	172	49	0	0	NUM
ejpam-5249	172	50	,	,	PUNCT
ejpam-5249	172	51	d1	d1	PROPN
ejpam-5249	172	52	(	(	PUNCT
ejpam-5249	172	53	d2	d2	PROPN
ejpam-5249	172	54	+	+	PROPN
ejpam-5249	172	55	b1)−	b1)−	PROPN
ejpam-5249	172	56	(	(	PUNCT
ejpam-5249	172	57	d3	d3	PROPN
ejpam-5249	172	58	+	+	NOUN
ejpam-5249	172	59	b2	b2	NOUN
ejpam-5249	172	60	)	)	PUNCT
ejpam-5249	172	61	>	>	X
ejpam-5249	172	62	0	0	X
ejpam-5249	172	63	.	.	PUNCT
ejpam-5249	173	1	(	(	PUNCT
ejpam-5249	173	2	20	20	NUM
ejpam-5249	173	3	)	)	PUNCT
ejpam-5249	173	4	all	all	DET
ejpam-5249	173	5	the	the	DET
ejpam-5249	173	6	criteria	criterion	NOUN
ejpam-5249	173	7	in	in	ADP
ejpam-5249	173	8	eq.(20	eq.(20	PROPN
ejpam-5249	173	9	)	)	PUNCT
ejpam-5249	173	10	are	be	AUX
ejpam-5249	173	11	satisfied	satisfied	ADJ
ejpam-5249	173	12	,	,	PUNCT
ejpam-5249	173	13	and	and	CCONJ
ejpam-5249	173	14	the	the	DET
ejpam-5249	173	15	infected	infect	VERB
ejpam-5249	173	16	steady	steady	ADJ
ejpam-5249	173	17	state	state	NOUN
ejpam-5249	173	18	ē	ē	ADV
ejpam-5249	173	19	is	be	AUX
ejpam-5249	173	20	asymptotically	asymptotically	ADV
ejpam-5249	173	21	stable	stable	ADJ
ejpam-5249	173	22	.	.	PUNCT
ejpam-5249	174	1	case	case	NOUN
ejpam-5249	174	2	ii	ii	PROPN
ejpam-5249	174	3	:	:	PUNCT
ejpam-5249	174	4	when	when	SCONJ
ejpam-5249	174	5	τ	τ	X
ejpam-5249	174	6	>	>	X
ejpam-5249	174	7	0	0	NUM
ejpam-5249	174	8	eq.(18	eq.(18	NOUN
ejpam-5249	174	9	)	)	PUNCT
ejpam-5249	174	10	has	have	VERB
ejpam-5249	174	11	an	an	DET
ejpam-5249	174	12	infinitely	infinitely	ADV
ejpam-5249	174	13	many	many	ADJ
ejpam-5249	174	14	roots	root	NOUN
ejpam-5249	174	15	.	.	PUNCT
ejpam-5249	175	1	the	the	DET
ejpam-5249	175	2	roots	root	NOUN
ejpam-5249	175	3	of	of	ADP
ejpam-5249	175	4	the	the	DET
ejpam-5249	175	5	characteristic	characteristic	ADJ
ejpam-5249	175	6	eq.(18	eq.(18	NOUN
ejpam-5249	175	7	)	)	PUNCT
ejpam-5249	175	8	with	with	ADP
ejpam-5249	175	9	negative	negative	ADJ
ejpam-5249	175	10	real	real	ADJ
ejpam-5249	175	11	parts	part	NOUN
ejpam-5249	175	12	are	be	AUX
ejpam-5249	175	13	necessary	necessary	ADJ
ejpam-5249	175	14	for	for	ADP
ejpam-5249	175	15	stability	stability	NOUN
ejpam-5249	175	16	.	.	PUNCT
ejpam-5249	176	1	if	if	SCONJ
ejpam-5249	176	2	there	there	PRON
ejpam-5249	176	3	are	be	VERB
ejpam-5249	176	4	only	only	ADV
ejpam-5249	176	5	purely	purely	ADV
ejpam-5249	176	6	imaginary	imaginary	ADJ
ejpam-5249	176	7	solutions	solution	NOUN
ejpam-5249	176	8	to	to	ADP
ejpam-5249	176	9	the	the	DET
ejpam-5249	176	10	characteristic	characteristic	ADJ
ejpam-5249	176	11	eq.(18	eq.(18	NOUN
ejpam-5249	176	12	)	)	PUNCT
ejpam-5249	176	13	,	,	PUNCT
ejpam-5249	176	14	then	then	ADV
ejpam-5249	176	15	ē	ē	ADV
ejpam-5249	176	16	experiences	experience	VERB
ejpam-5249	176	17	stability	stability	NOUN
ejpam-5249	176	18	changes	change	NOUN
ejpam-5249	176	19	.	.	PUNCT
ejpam-5249	177	1	assume	assume	VERB
ejpam-5249	177	2	that	that	SCONJ
ejpam-5249	177	3	a	a	DET
ejpam-5249	177	4	root	root	NOUN
ejpam-5249	177	5	of	of	ADP
ejpam-5249	177	6	eq.(18	eq.(18	NOUN
ejpam-5249	177	7	)	)	PUNCT
ejpam-5249	177	8	is	be	AUX
ejpam-5249	177	9	iω	iω	NOUN
ejpam-5249	177	10	.	.	PUNCT
ejpam-5249	178	1	from	from	ADP
ejpam-5249	178	2	it	it	PRON
ejpam-5249	178	3	,	,	PUNCT
ejpam-5249	178	4	we	we	PRON
ejpam-5249	178	5	obtain	obtain	VERB
ejpam-5249	178	6	−iω3	−iω3	ADP
ejpam-5249	178	7	−d1ω	−d1ω	NOUN
ejpam-5249	178	8	2	2	NUM
ejpam-5249	178	9	+	+	CCONJ
ejpam-5249	178	10	id2ω	id2ω	ADP
ejpam-5249	178	11	+	+	ADJ
ejpam-5249	178	12	b1ω	b1ω	PROPN
ejpam-5249	178	13	(	(	PUNCT
ejpam-5249	178	14	sinωτ	sinωτ	NOUN
ejpam-5249	178	15	+	+	CCONJ
ejpam-5249	178	16	icosωτ)+b2	icosωτ)+b2	NOUN
ejpam-5249	178	17	(	(	PUNCT
ejpam-5249	178	18	cosωτ	cosωτ	NOUN
ejpam-5249	178	19	−	−	PROPN
ejpam-5249	178	20	isinωτ)+d3	isinωτ)+d3	NOUN
ejpam-5249	178	21	=	=	SYM
ejpam-5249	178	22	0	0	PROPN
ejpam-5249	178	23	.	.	PUNCT
ejpam-5249	179	1	(	(	PUNCT
ejpam-5249	179	2	21	21	NUM
ejpam-5249	179	3	)	)	PUNCT
ejpam-5249	179	4	when	when	SCONJ
ejpam-5249	179	5	we	we	PRON
ejpam-5249	179	6	separate	separate	VERB
ejpam-5249	179	7	the	the	DET
ejpam-5249	179	8	real	real	ADJ
ejpam-5249	179	9	and	and	CCONJ
ejpam-5249	179	10	imaginary	imaginary	ADJ
ejpam-5249	179	11	parts	part	NOUN
ejpam-5249	179	12	,	,	PUNCT
ejpam-5249	179	13	we	we	PRON
ejpam-5249	179	14	get	get	VERB
ejpam-5249	179	15	d1ω	d1ω	ADJ
ejpam-5249	179	16	2	2	NUM
ejpam-5249	179	17	−d3	−d3	NOUN
ejpam-5249	179	18	=	=	SYM
ejpam-5249	179	19	b1ω	b1ω	PART
ejpam-5249	180	1	sinωτ	sinωτ	NOUN
ejpam-5249	180	2	+	+	ADJ
ejpam-5249	180	3	b2	b2	NOUN
ejpam-5249	180	4	cosωτ	cosωτ	NOUN
ejpam-5249	180	5	,	,	PUNCT
ejpam-5249	180	6	(	(	PUNCT
ejpam-5249	180	7	22	22	NUM
ejpam-5249	180	8	)	)	PUNCT
ejpam-5249	180	9	ω	ω	NUM
ejpam-5249	180	10	3	3	NUM
ejpam-5249	180	11	−d2ω	−d2ω	NOUN
ejpam-5249	180	12	=	=	SYM
ejpam-5249	180	13	b1ω	b1ω	NOUN
ejpam-5249	180	14	cosωτ	cosωτ	PROPN
ejpam-5249	180	15	−b2	−b2	PROPN
ejpam-5249	180	16	sinωτ	sinωτ	NOUN
ejpam-5249	180	17	.	.	PUNCT
ejpam-5249	181	1	(	(	PUNCT
ejpam-5249	181	2	23	23	NUM
ejpam-5249	181	3	)	)	PUNCT
ejpam-5249	181	4	the	the	DET
ejpam-5249	181	5	above	above	ADJ
ejpam-5249	181	6	two	two	NUM
ejpam-5249	181	7	equations	equation	NOUN
ejpam-5249	181	8	can	can	AUX
ejpam-5249	181	9	be	be	AUX
ejpam-5249	181	10	squared	square	VERB
ejpam-5249	181	11	and	and	CCONJ
ejpam-5249	181	12	added	add	VERB
ejpam-5249	181	13	to	to	PART
ejpam-5249	181	14	get	get	VERB
ejpam-5249	181	15	ω	ω	X
ejpam-5249	181	16	6	6	NUM
ejpam-5249	182	1	+	+	CCONJ
ejpam-5249	182	2	(	(	PUNCT
ejpam-5249	182	3	d2	d2	PROPN
ejpam-5249	182	4	1	1	NUM
ejpam-5249	182	5	−2d2	−2d2	NUM
ejpam-5249	182	6	)	)	PUNCT
ejpam-5249	182	7	ω	ω	ADP
ejpam-5249	182	8	4	4	NUM
ejpam-5249	182	9	+	+	CCONJ
ejpam-5249	182	10	(	(	PUNCT
ejpam-5249	182	11	d2	d2	PROPN
ejpam-5249	182	12	2	2	NUM
ejpam-5249	182	13	−2d1d3	−2d1d3	NOUN
ejpam-5249	182	14	−b2	−b2	PROPN
ejpam-5249	182	15	1	1	NUM
ejpam-5249	182	16	)	)	PUNCT
ejpam-5249	182	17	ω	ω	NOUN
ejpam-5249	182	18	2	2	NUM
ejpam-5249	182	19	+	+	CCONJ
ejpam-5249	182	20	(	(	PUNCT
ejpam-5249	182	21	d2	d2	PROPN
ejpam-5249	182	22	3	3	NUM
ejpam-5249	182	23	−b2	−b2	PROPN
ejpam-5249	182	24	2	2	NUM
ejpam-5249	182	25	)	)	PUNCT
ejpam-5249	182	26	=	=	SYM
ejpam-5249	183	1	0	0	X
ejpam-5249	183	2	.	.	PUNCT
ejpam-5249	184	1	(	(	PUNCT
ejpam-5249	184	2	24	24	NUM
ejpam-5249	184	3	)	)	PUNCT
ejpam-5249	184	4	let	let	VERB
ejpam-5249	184	5	z	z	NOUN
ejpam-5249	184	6	=	=	SYM
ejpam-5249	184	7	ω	ω	PROPN
ejpam-5249	184	8	2	2	NUM
ejpam-5249	184	9	,	,	PUNCT
ejpam-5249	184	10	ζ1	ζ1	PROPN
ejpam-5249	184	11	=	=	PUNCT
ejpam-5249	184	12	d2	d2	PROPN
ejpam-5249	184	13	1	1	NUM
ejpam-5249	184	14	−2d2	−2d2	NUM
ejpam-5249	184	15	,	,	PUNCT
ejpam-5249	184	16	ζ2	ζ2	NOUN
ejpam-5249	184	17	=	=	SYM
ejpam-5249	184	18	d2	d2	PROPN
ejpam-5249	184	19	2	2	NUM
ejpam-5249	184	20	−2d1d3	−2d1d3	NOUN
ejpam-5249	184	21	−b2	−b2	PROPN
ejpam-5249	184	22	1	1	NUM
ejpam-5249	184	23	,	,	PUNCT
ejpam-5249	184	24	ζ3	ζ3	NOUN
ejpam-5249	184	25	=	=	SYM
ejpam-5249	184	26	d2	d2	PROPN
ejpam-5249	184	27	3	3	NUM
ejpam-5249	184	28	−b2	−b2	PROPN
ejpam-5249	184	29	2	2	NUM
ejpam-5249	184	30	.	.	PUNCT
ejpam-5249	184	31	then	then	ADV
ejpam-5249	184	32	eq.(24	eq.(24	PROPN
ejpam-5249	184	33	)	)	PUNCT
ejpam-5249	184	34	becomes	become	VERB
ejpam-5249	184	35	,	,	PUNCT
ejpam-5249	184	36	h(z	h(z	NOUN
ejpam-5249	184	37	)	)	PUNCT
ejpam-5249	184	38	=	=	PUNCT
ejpam-5249	185	1	z3	z3	PROPN
ejpam-5249	185	2	+	+	NOUN
ejpam-5249	185	3	ζ1z2	ζ1z2	PROPN
ejpam-5249	185	4	+	+	ADJ
ejpam-5249	185	5	ζ2z+ζ3	ζ2z+ζ3	NOUN
ejpam-5249	185	6	=	=	SYM
ejpam-5249	185	7	0	0	X
ejpam-5249	185	8	.	.	PUNCT
ejpam-5249	186	1	(	(	PUNCT
ejpam-5249	186	2	25	25	NUM
ejpam-5249	186	3	)	)	PUNCT
ejpam-5249	186	4	given	give	VERB
ejpam-5249	186	5	that	that	DET
ejpam-5249	186	6	ζ3	ζ3	NOUN
ejpam-5249	186	7	=	=	SYM
ejpam-5249	186	8	d2	d2	PROPN
ejpam-5249	186	9	3	3	NUM
ejpam-5249	187	1	−b2	−b2	PROPN
ejpam-5249	187	2	2	2	NUM
ejpam-5249	187	3	>	>	SYM
ejpam-5249	187	4	0	0	NUM
ejpam-5249	188	1	for	for	ADP
ejpam-5249	188	2	the	the	DET
ejpam-5249	188	3	parameter	parameter	NOUN
ejpam-5249	188	4	values	value	NOUN
ejpam-5249	188	5	shown	show	VERB
ejpam-5249	188	6	in	in	ADP
ejpam-5249	188	7	table	table	NOUN
ejpam-5249	188	8	1	1	NUM
ejpam-5249	188	9	.	.	PUNCT
ejpam-5249	189	1	we	we	PRON
ejpam-5249	189	2	assume	assume	VERB
ejpam-5249	189	3	that	that	SCONJ
ejpam-5249	189	4	ζ3	ζ3	NOUN
ejpam-5249	189	5	≥	≥	NOUN
ejpam-5249	189	6	0	0	PUNCT
ejpam-5249	189	7	and	and	CCONJ
ejpam-5249	189	8	make	make	VERB
ejpam-5249	189	9	the	the	DET
ejpam-5249	189	10	following	follow	VERB
ejpam-5249	189	11	claim	claim	NOUN
ejpam-5249	189	12	.	.	PUNCT
ejpam-5249	190	1	claim	claim	NOUN
ejpam-5249	190	2	1	1	NUM
ejpam-5249	190	3	.	.	PUNCT
ejpam-5249	191	1	if	if	SCONJ
ejpam-5249	191	2	ζ3	ζ3	NOUN
ejpam-5249	191	3	≥	≥	NOUN
ejpam-5249	191	4	0	0	NUM
ejpam-5249	191	5	(	(	PUNCT
ejpam-5249	191	6	26	26	NUM
ejpam-5249	191	7	)	)	PUNCT
ejpam-5249	191	8	and	and	CCONJ
ejpam-5249	191	9	ζ2	ζ2	NOUN
ejpam-5249	191	10	>	>	NOUN
ejpam-5249	191	11	0	0	NUM
ejpam-5249	191	12	,	,	PUNCT
ejpam-5249	191	13	(	(	PUNCT
ejpam-5249	191	14	27	27	NUM
ejpam-5249	191	15	)	)	PUNCT
ejpam-5249	191	16	b.	b.	PROPN
ejpam-5249	191	17	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	191	18	,	,	PUNCT
ejpam-5249	191	19	r.	r.	PROPN
ejpam-5249	191	20	senthamarai	senthamarai	PROPN
ejpam-5249	191	21	/	/	SYM
ejpam-5249	191	22	eur	eur	PROPN
ejpam-5249	191	23	.	.	PUNCT
ejpam-5249	192	1	j.	j.	PROPN
ejpam-5249	192	2	pure	pure	PROPN
ejpam-5249	192	3	appl	appl	PROPN
ejpam-5249	192	4	.	.	PROPN
ejpam-5249	192	5	math	math	PROPN
ejpam-5249	192	6	,	,	PUNCT
ejpam-5249	192	7	17	17	NUM
ejpam-5249	192	8	(	(	PUNCT
ejpam-5249	192	9	3	3	NUM
ejpam-5249	192	10	)	)	PUNCT
ejpam-5249	192	11	(	(	PUNCT
ejpam-5249	192	12	2024	2024	NUM
ejpam-5249	192	13	)	)	PUNCT
ejpam-5249	192	14	,	,	PUNCT
ejpam-5249	192	15	1908	1908	NUM
ejpam-5249	192	16	-	-	SYM
ejpam-5249	192	17	1936	1936	NUM
ejpam-5249	192	18	1916	1916	NUM
ejpam-5249	192	19	therefore	therefore	ADV
ejpam-5249	192	20	,	,	PUNCT
ejpam-5249	192	21	there	there	PRON
ejpam-5249	192	22	are	be	VERB
ejpam-5249	192	23	no	no	DET
ejpam-5249	192	24	positive	positive	ADJ
ejpam-5249	192	25	real	real	ADJ
ejpam-5249	192	26	roots	root	NOUN
ejpam-5249	192	27	in	in	ADP
ejpam-5249	192	28	eq	eq	ADP
ejpam-5249	192	29	.	.	PUNCT
ejpam-5249	193	1	(	(	PUNCT
ejpam-5249	193	2	25	25	NUM
ejpam-5249	193	3	)	)	PUNCT
ejpam-5249	193	4	.	.	PUNCT
ejpam-5249	194	1	in	in	ADP
ejpam-5249	194	2	fact	fact	NOUN
ejpam-5249	194	3	,	,	PUNCT
ejpam-5249	194	4	observe	observe	VERB
ejpam-5249	194	5	that	that	SCONJ
ejpam-5249	194	6	dh(z	dh(z	NOUN
ejpam-5249	194	7	)	)	PUNCT
ejpam-5249	194	8	dt	dt	NOUN
ejpam-5249	195	1	=	=	SYM
ejpam-5249	195	2	3z2	3z2	NUM
ejpam-5249	195	3	+2ζ1z+ζ2	+2ζ1z+ζ2	PROPN
ejpam-5249	195	4	.	.	PUNCT
ejpam-5249	196	1	set	set	VERB
ejpam-5249	196	2	3z2	3z2	NUM
ejpam-5249	196	3	+2ζ1z+ζ2	+2ζ1z+ζ2	ADJ
ejpam-5249	196	4	=	=	SYM
ejpam-5249	196	5	0	0	PROPN
ejpam-5249	196	6	.	.	PUNCT
ejpam-5249	197	1	(	(	PUNCT
ejpam-5249	197	2	28	28	NUM
ejpam-5249	197	3	)	)	PUNCT
ejpam-5249	197	4	then	then	ADV
ejpam-5249	197	5	the	the	DET
ejpam-5249	197	6	roots	root	NOUN
ejpam-5249	197	7	of	of	ADP
ejpam-5249	197	8	eq.(29	eq.(29	NOUN
ejpam-5249	197	9	)	)	PUNCT
ejpam-5249	197	10	can	can	AUX
ejpam-5249	197	11	be	be	AUX
ejpam-5249	197	12	represented	represent	VERB
ejpam-5249	197	13	as	as	ADP
ejpam-5249	197	14	z1,2	z1,2	PROPN
ejpam-5249	197	15	=	=	SYM
ejpam-5249	197	16	−ζ1	−ζ1	PROPN
ejpam-5249	197	17	±	±	NOUN
ejpam-5249	197	18	√	√	NOUN
ejpam-5249	197	19	ζ	ζ	NOUN
ejpam-5249	197	20	2	2	NUM
ejpam-5249	197	21	1	1	NUM
ejpam-5249	197	22	−3ζ2	−3ζ2	NUM
ejpam-5249	197	23	3	3	NUM
ejpam-5249	197	24	.	.	PUNCT
ejpam-5249	198	1	(	(	PUNCT
ejpam-5249	198	2	29	29	NUM
ejpam-5249	198	3	)	)	PUNCT
ejpam-5249	198	4	if	if	SCONJ
ejpam-5249	198	5	ζ2	ζ2	NOUN
ejpam-5249	198	6	>	>	X
ejpam-5249	198	7	0	0	NUM
ejpam-5249	198	8	,	,	PUNCT
ejpam-5249	198	9	then	then	ADV
ejpam-5249	198	10	ζ	ζ	NOUN
ejpam-5249	198	11	2	2	NUM
ejpam-5249	198	12	1	1	NUM
ejpam-5249	198	13	−3ζ2	−3ζ2	NUM
ejpam-5249	198	14	<	<	X
ejpam-5249	198	15	ζ	ζ	SYM
ejpam-5249	198	16	2	2	NUM
ejpam-5249	198	17	1	1	NUM
ejpam-5249	198	18	;	;	PUNCT
ejpam-5249	198	19	that	that	PRON
ejpam-5249	198	20	is	be	AUX
ejpam-5249	198	21	,	,	PUNCT
ejpam-5249	198	22	√	√	PROPN
ejpam-5249	198	23	ζ	ζ	NOUN
ejpam-5249	198	24	2	2	NUM
ejpam-5249	198	25	1	1	NUM
ejpam-5249	198	26	−3ζ2	−3ζ2	NUM
ejpam-5249	198	27	<	<	X
ejpam-5249	198	28	ζ1	ζ1	PROPN
ejpam-5249	198	29	.	.	PUNCT
ejpam-5249	199	1	hence	hence	ADV
ejpam-5249	199	2	,	,	PUNCT
ejpam-5249	199	3	neither	neither	CCONJ
ejpam-5249	199	4	z1	z1	ADJ
ejpam-5249	199	5	nor	nor	CCONJ
ejpam-5249	199	6	z2	z2	NOUN
ejpam-5249	199	7	is	be	AUX
ejpam-5249	199	8	positive	positive	ADJ
ejpam-5249	199	9	.	.	PUNCT
ejpam-5249	200	1	thus	thus	ADV
ejpam-5249	200	2	,	,	PUNCT
ejpam-5249	200	3	eq.(25	eq.(25	NOUN
ejpam-5249	200	4	)	)	PUNCT
ejpam-5249	200	5	has	have	VERB
ejpam-5249	200	6	no	no	DET
ejpam-5249	200	7	positive	positive	ADJ
ejpam-5249	200	8	roots	root	NOUN
ejpam-5249	200	9	.	.	PUNCT
ejpam-5249	201	1	as	as	ADP
ejpam-5249	201	2	a	a	DET
ejpam-5249	201	3	result	result	NOUN
ejpam-5249	201	4	,	,	PUNCT
ejpam-5249	201	5	claim	claim	NOUN
ejpam-5249	201	6	1	1	NUM
ejpam-5249	201	7	suggests	suggest	VERB
ejpam-5249	201	8	that	that	SCONJ
ejpam-5249	201	9	there	there	PRON
ejpam-5249	201	10	is	be	VERB
ejpam-5249	201	11	no	no	DET
ejpam-5249	201	12	ω	ω	NOUN
ejpam-5249	201	13	such	such	ADJ
ejpam-5249	201	14	that	that	SCONJ
ejpam-5249	201	15	iω	iω	PRON
ejpam-5249	201	16	is	be	AUX
ejpam-5249	201	17	an	an	DET
ejpam-5249	201	18	eigenvalue	eigenvalue	NOUN
ejpam-5249	201	19	of	of	ADP
ejpam-5249	201	20	the	the	DET
ejpam-5249	201	21	characteristic	characteristic	ADJ
ejpam-5249	201	22	eq.(18	eq.(18	NOUN
ejpam-5249	201	23	)	)	PUNCT
ejpam-5249	201	24	.	.	PUNCT
ejpam-5249	202	1	consequently	consequently	ADV
ejpam-5249	202	2	,	,	PUNCT
ejpam-5249	202	3	for	for	ADP
ejpam-5249	202	4	all	all	DET
ejpam-5249	202	5	delay	delay	NOUN
ejpam-5249	202	6	of	of	ADP
ejpam-5249	202	7	τ	τ	PROPN
ejpam-5249	202	8	≥	≥	NUM
ejpam-5249	202	9	0	0	NUM
ejpam-5249	202	10	,	,	PUNCT
ejpam-5249	202	11	the	the	DET
ejpam-5249	202	12	real	real	ADJ
ejpam-5249	202	13	parts	part	NOUN
ejpam-5249	202	14	of	of	ADP
ejpam-5249	202	15	all	all	DET
ejpam-5249	202	16	eigenvalue	eigenvalue	NOUN
ejpam-5249	202	17	of	of	ADP
ejpam-5249	202	18	eq.(18	eq.(18	NOUN
ejpam-5249	202	19	)	)	PUNCT
ejpam-5249	202	20	are	be	AUX
ejpam-5249	202	21	negative	negative	ADJ
ejpam-5249	202	22	.	.	PUNCT
ejpam-5249	203	1	thus	thus	ADV
ejpam-5249	203	2	,	,	PUNCT
ejpam-5249	203	3	the	the	DET
ejpam-5249	203	4	analysis	analysis	NOUN
ejpam-5249	203	5	presented	present	VERB
ejpam-5249	203	6	above	above	ADV
ejpam-5249	203	7	leads	lead	VERB
ejpam-5249	203	8	to	to	ADP
ejpam-5249	203	9	the	the	DET
ejpam-5249	203	10	following	follow	VERB
ejpam-5249	203	11	theorem	theorem	PROPN
ejpam-5249	203	12	.	.	PUNCT
ejpam-5249	204	1	theorem	theorem	NOUN
ejpam-5249	204	2	3	3	X
ejpam-5249	204	3	.	.	PUNCT
ejpam-5249	204	4	suppose	suppose	VERB
ejpam-5249	204	5	that	that	SCONJ
ejpam-5249	204	6	(	(	PUNCT
ejpam-5249	204	7	i	i	NOUN
ejpam-5249	204	8	)	)	PUNCT
ejpam-5249	204	9	d1	d1	PROPN
ejpam-5249	204	10	>	>	X
ejpam-5249	204	11	0	0	NUM
ejpam-5249	204	12	,	,	PUNCT
ejpam-5249	204	13	b1	b1	NOUN
ejpam-5249	204	14	+	+	NOUN
ejpam-5249	204	15	b2	b2	NOUN
ejpam-5249	204	16	>	>	X
ejpam-5249	204	17	0	0	NUM
ejpam-5249	204	18	,	,	PUNCT
ejpam-5249	204	19	d1	d1	PROPN
ejpam-5249	204	20	(	(	PUNCT
ejpam-5249	204	21	d2	d2	PROPN
ejpam-5249	204	22	+	+	PROPN
ejpam-5249	204	23	b2)−	b2)−	PROPN
ejpam-5249	204	24	(	(	PUNCT
ejpam-5249	204	25	b1	b1	NOUN
ejpam-5249	204	26	+	+	SYM
ejpam-5249	204	27	d3	d3	PROPN
ejpam-5249	204	28	)	)	PUNCT
ejpam-5249	204	29	>	>	X
ejpam-5249	204	30	0	0	NUM
ejpam-5249	204	31	;	;	PUNCT
ejpam-5249	204	32	(	(	PUNCT
ejpam-5249	204	33	ii	ii	NOUN
ejpam-5249	204	34	)	)	PUNCT
ejpam-5249	204	35	ζ3	ζ3	NOUN
ejpam-5249	204	36	≥	≥	NOUN
ejpam-5249	204	37	0	0	NUM
ejpam-5249	204	38	and	and	CCONJ
ejpam-5249	204	39	ζ2	ζ2	NOUN
ejpam-5249	204	40	>	>	X
ejpam-5249	204	41	0	0	PROPN
ejpam-5249	204	42	.	.	PUNCT
ejpam-5249	205	1	then	then	ADV
ejpam-5249	205	2	the	the	DET
ejpam-5249	205	3	infected	infect	VERB
ejpam-5249	205	4	steady	steady	ADJ
ejpam-5249	205	5	state	state	NOUN
ejpam-5249	205	6	ē	ē	ADP
ejpam-5249	205	7	of	of	ADP
ejpam-5249	205	8	the	the	DET
ejpam-5249	205	9	delay	delay	NOUN
ejpam-5249	205	10	model	model	PROPN
ejpam-5249	205	11	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	205	12	)	)	PUNCT
ejpam-5249	205	13	is	be	AUX
ejpam-5249	205	14	perfectly	perfectly	ADV
ejpam-5249	205	15	stable	stable	ADJ
ejpam-5249	205	16	;	;	PUNCT
ejpam-5249	205	17	that	that	ADV
ejpam-5249	205	18	is	is	ADV
ejpam-5249	205	19	,	,	PUNCT
ejpam-5249	205	20	ē	ē	ADV
ejpam-5249	205	21	is	be	AUX
ejpam-5249	205	22	asymptotically	asymptotically	ADV
ejpam-5249	205	23	stable	stable	ADJ
ejpam-5249	205	24	for	for	ADP
ejpam-5249	205	25	all	all	DET
ejpam-5249	205	26	τ	τ	X
ejpam-5249	205	27	≥	≥	NOUN
ejpam-5249	205	28	0	0	NUM
ejpam-5249	205	29	.	.	PUNCT
ejpam-5249	206	1	proof	proof	NOUN
ejpam-5249	206	2	.	.	PUNCT
ejpam-5249	207	1	observe	observe	VERB
ejpam-5249	207	2	that	that	SCONJ
ejpam-5249	207	3	all	all	DET
ejpam-5249	207	4	the	the	DET
ejpam-5249	207	5	conditions	condition	NOUN
ejpam-5249	207	6	in	in	ADP
ejpam-5249	207	7	theorem	theorem	NOUN
ejpam-5249	207	8	3	3	NUM
ejpam-5249	207	9	is	be	AUX
ejpam-5249	207	10	satisfied	satisfied	ADJ
ejpam-5249	207	11	for	for	ADP
ejpam-5249	207	12	the	the	DET
ejpam-5249	207	13	specified	specify	VERB
ejpam-5249	207	14	parameter	parameter	NOUN
ejpam-5249	207	15	values	value	NOUN
ejpam-5249	207	16	in	in	ADP
ejpam-5249	207	17	table	table	NOUN
ejpam-5249	207	18	1	1	NUM
ejpam-5249	207	19	.	.	PUNCT
ejpam-5249	208	1	for	for	ADP
ejpam-5249	208	2	all	all	DET
ejpam-5249	208	3	τ	τ	PROPN
ejpam-5249	208	4	≥	≥	NUM
ejpam-5249	208	5	0	0	NUM
ejpam-5249	208	6	,	,	PUNCT
ejpam-5249	208	7	the	the	DET
ejpam-5249	208	8	infected	infect	VERB
ejpam-5249	208	9	steady	steady	ADJ
ejpam-5249	208	10	state	state	NOUN
ejpam-5249	208	11	ē	ē	NOUN
ejpam-5249	208	12	is	be	AUX
ejpam-5249	208	13	thus	thus	ADV
ejpam-5249	208	14	asymptotically	asymptotically	ADV
ejpam-5249	208	15	stable	stable	ADJ
ejpam-5249	208	16	.	.	PUNCT
ejpam-5249	209	1	remark	remark	PROPN
ejpam-5249	209	2	.	.	PUNCT
ejpam-5249	210	1	theorem	theorem	VERB
ejpam-5249	210	2	3	3	NUM
ejpam-5249	210	3	states	state	NOUN
ejpam-5249	210	4	that	that	SCONJ
ejpam-5249	210	5	if	if	SCONJ
ejpam-5249	210	6	the	the	DET
ejpam-5249	210	7	parameters	parameter	NOUN
ejpam-5249	210	8	satisfy	satisfy	VERB
ejpam-5249	210	9	the	the	DET
ejpam-5249	210	10	conditions	condition	NOUN
ejpam-5249	210	11	(	(	PUNCT
ejpam-5249	210	12	i	i	NOUN
ejpam-5249	210	13	)	)	PUNCT
ejpam-5249	210	14	and	and	CCONJ
ejpam-5249	210	15	(	(	PUNCT
ejpam-5249	210	16	ii	ii	NOUN
ejpam-5249	210	17	)	)	PUNCT
ejpam-5249	210	18	,	,	PUNCT
ejpam-5249	210	19	then	then	ADV
ejpam-5249	210	20	the	the	DET
ejpam-5249	210	21	steady	steady	ADJ
ejpam-5249	210	22	state	state	NOUN
ejpam-5249	210	23	of	of	ADP
ejpam-5249	210	24	the	the	DET
ejpam-5249	210	25	delay	delay	NOUN
ejpam-5249	210	26	model	model	PROPN
ejpam-5249	210	27	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	210	28	)	)	PUNCT
ejpam-5249	210	29	is	be	AUX
ejpam-5249	210	30	asymptotically	asymptotically	ADV
ejpam-5249	210	31	stable	stable	ADJ
ejpam-5249	210	32	for	for	ADP
ejpam-5249	210	33	all	all	DET
ejpam-5249	210	34	delay	delay	NOUN
ejpam-5249	210	35	values	value	NOUN
ejpam-5249	210	36	;	;	PUNCT
ejpam-5249	210	37	that	that	PRON
ejpam-5249	210	38	is	be	AUX
ejpam-5249	210	39	,	,	PUNCT
ejpam-5249	210	40	independent	independent	ADJ
ejpam-5249	210	41	of	of	ADP
ejpam-5249	210	42	the	the	DET
ejpam-5249	210	43	delay	delay	NOUN
ejpam-5249	210	44	.	.	PUNCT
ejpam-5249	211	1	however	however	ADV
ejpam-5249	211	2	,	,	PUNCT
ejpam-5249	211	3	it	it	PRON
ejpam-5249	211	4	is	be	AUX
ejpam-5249	211	5	important	important	ADJ
ejpam-5249	211	6	to	to	PART
ejpam-5249	211	7	note	note	VERB
ejpam-5249	211	8	that	that	SCONJ
ejpam-5249	211	9	if	if	SCONJ
ejpam-5249	211	10	the	the	DET
ejpam-5249	211	11	conditions	condition	NOUN
ejpam-5249	211	12	(	(	PUNCT
ejpam-5249	211	13	condition	condition	NOUN
ejpam-5249	211	14	(	(	PUNCT
ejpam-5249	211	15	ii	ii	NOUN
ejpam-5249	211	16	)	)	PUNCT
ejpam-5249	211	17	)	)	PUNCT
ejpam-5249	211	18	in	in	ADP
ejpam-5249	211	19	theorem	theorem	NOUN
ejpam-5249	211	20	3	3	NUM
ejpam-5249	211	21	are	be	AUX
ejpam-5249	211	22	not	not	PART
ejpam-5249	211	23	satisfied	satisfied	ADJ
ejpam-5249	211	24	,	,	PUNCT
ejpam-5249	211	25	then	then	ADV
ejpam-5249	211	26	the	the	DET
ejpam-5249	211	27	stability	stability	NOUN
ejpam-5249	211	28	of	of	ADP
ejpam-5249	211	29	the	the	DET
ejpam-5249	211	30	steady	steady	ADJ
ejpam-5249	211	31	state	state	NOUN
ejpam-5249	211	32	depends	depend	VERB
ejpam-5249	211	33	on	on	ADP
ejpam-5249	211	34	the	the	DET
ejpam-5249	211	35	delay	delay	NOUN
ejpam-5249	211	36	value	value	NOUN
ejpam-5249	211	37	and	and	CCONJ
ejpam-5249	211	38	the	the	DET
ejpam-5249	211	39	delay	delay	NOUN
ejpam-5249	211	40	may	may	AUX
ejpam-5249	211	41	even	even	ADV
ejpam-5249	211	42	cause	cause	VERB
ejpam-5249	211	43	oscillations	oscillation	NOUN
ejpam-5249	211	44	.	.	PUNCT
ejpam-5249	212	1	an	an	DET
ejpam-5249	212	2	example	example	NOUN
ejpam-5249	212	3	,	,	PUNCT
ejpam-5249	212	4	if	if	SCONJ
ejpam-5249	212	5	(	(	PUNCT
ejpam-5249	212	6	a	a	X
ejpam-5249	212	7	)	)	PUNCT
ejpam-5249	212	8	ζ3	ζ3	NOUN
ejpam-5249	212	9	<	<	X
ejpam-5249	212	10	0	0	NUM
ejpam-5249	212	11	,	,	PUNCT
ejpam-5249	212	12	then	then	ADV
ejpam-5249	212	13	from	from	ADP
ejpam-5249	212	14	eq.(25	eq.(25	NOUN
ejpam-5249	212	15	)	)	PUNCT
ejpam-5249	212	16	we	we	PRON
ejpam-5249	212	17	have	have	VERB
ejpam-5249	212	18	h(0	h(0	PROPN
ejpam-5249	212	19	)	)	PUNCT
ejpam-5249	212	20	<	<	X
ejpam-5249	212	21	0	0	NUM
ejpam-5249	212	22	and	and	CCONJ
ejpam-5249	212	23	limt→∞	limt→∞	ADP
ejpam-5249	212	24	h(z	h(z	NOUN
ejpam-5249	212	25	)	)	PUNCT
ejpam-5249	212	26	=	=	SYM
ejpam-5249	212	27	∞.	∞.	PROPN
ejpam-5249	212	28	thus	thus	ADV
ejpam-5249	212	29	,	,	PUNCT
ejpam-5249	212	30	eq.(25	eq.(25	NOUN
ejpam-5249	212	31	)	)	PUNCT
ejpam-5249	212	32	has	have	VERB
ejpam-5249	212	33	at	at	ADV
ejpam-5249	212	34	least	least	ADV
ejpam-5249	212	35	one	one	NUM
ejpam-5249	212	36	positive	positive	ADJ
ejpam-5249	212	37	root	root	NOUN
ejpam-5249	212	38	,	,	PUNCT
ejpam-5249	212	39	say	say	VERB
ejpam-5249	212	40	z0	z0	PROPN
ejpam-5249	212	41	.	.	PUNCT
ejpam-5249	213	1	consequently	consequently	ADV
ejpam-5249	213	2	,	,	PUNCT
ejpam-5249	213	3	eq.(24	eq.(24	PROPN
ejpam-5249	213	4	)	)	PUNCT
ejpam-5249	213	5	has	have	VERB
ejpam-5249	213	6	at	at	ADV
ejpam-5249	213	7	least	least	ADV
ejpam-5249	213	8	one	one	NUM
ejpam-5249	213	9	positive	positive	ADJ
ejpam-5249	213	10	root	root	NOUN
ejpam-5249	213	11	,	,	PUNCT
ejpam-5249	213	12	denoted	denote	VERB
ejpam-5249	213	13	by	by	ADP
ejpam-5249	213	14	ω0	ω0	NOUN
ejpam-5249	213	15	.	.	PUNCT
ejpam-5249	214	1	if	if	SCONJ
ejpam-5249	214	2	(	(	PUNCT
ejpam-5249	214	3	b	b	NOUN
ejpam-5249	214	4	)	)	PUNCT
ejpam-5249	214	5	ζ2	ζ2	NOUN
ejpam-5249	214	6	<	<	X
ejpam-5249	214	7	0	0	NUM
ejpam-5249	214	8	,	,	PUNCT
ejpam-5249	214	9	then	then	ADV
ejpam-5249	214	10	√	√	VERB
ejpam-5249	214	11	ζ	ζ	SYM
ejpam-5249	214	12	2	2	NUM
ejpam-5249	214	13	1	1	NUM
ejpam-5249	214	14	−3ζ2	−3ζ2	NUM
ejpam-5249	214	15	>	>	X
ejpam-5249	214	16	ζ1	ζ1	PROPN
ejpam-5249	214	17	.	.	PUNCT
ejpam-5249	215	1	by	by	ADP
ejpam-5249	215	2	eq.(29	eq.(29	PROPN
ejpam-5249	215	3	)	)	PUNCT
ejpam-5249	215	4	,	,	PUNCT
ejpam-5249	215	5	z1	z1	NOUN
ejpam-5249	215	6	=	=	SYM
ejpam-5249	215	7	1	1	NUM
ejpam-5249	215	8	3	3	NUM
ejpam-5249	215	9	(	(	PUNCT
ejpam-5249	215	10	−ζ1	−ζ1	PROPN
ejpam-5249	215	11	+	+	CCONJ
ejpam-5249	215	12	√	√	VERB
ejpam-5249	215	13	ζ	ζ	SYM
ejpam-5249	215	14	2	2	NUM
ejpam-5249	215	15	1	1	NUM
ejpam-5249	215	16	−3ζ2	−3ζ2	NUM
ejpam-5249	215	17	)	)	PUNCT
ejpam-5249	215	18	>	>	X
ejpam-5249	215	19	0	0	X
ejpam-5249	215	20	.	.	PUNCT
ejpam-5249	215	21	accordingly	accordingly	ADV
ejpam-5249	215	22	,	,	PUNCT
ejpam-5249	215	23	eq.(25	eq.(25	NOUN
ejpam-5249	215	24	)	)	PUNCT
ejpam-5249	215	25	,	,	PUNCT
ejpam-5249	215	26	hence	hence	ADV
ejpam-5249	215	27	eq.(24	eq.(24	VERB
ejpam-5249	215	28	)	)	PUNCT
ejpam-5249	215	29	,	,	PUNCT
ejpam-5249	215	30	has	have	VERB
ejpam-5249	215	31	a	a	DET
ejpam-5249	215	32	positive	positive	ADJ
ejpam-5249	215	33	root	root	NOUN
ejpam-5249	215	34	ω0	ω0	NOUN
ejpam-5249	215	35	.	.	PUNCT
ejpam-5249	216	1	this	this	PRON
ejpam-5249	216	2	suggests	suggest	VERB
ejpam-5249	216	3	that	that	SCONJ
ejpam-5249	216	4	there	there	PRON
ejpam-5249	216	5	are	be	VERB
ejpam-5249	216	6	pair	pair	NOUN
ejpam-5249	216	7	of	of	ADP
ejpam-5249	216	8	purely	purely	ADV
ejpam-5249	216	9	imaginary	imaginary	ADJ
ejpam-5249	216	10	roots	root	NOUN
ejpam-5249	216	11	to	to	ADP
ejpam-5249	216	12	the	the	DET
ejpam-5249	216	13	characteristic	characteristic	ADJ
ejpam-5249	216	14	eq.(18	eq.(18	NOUN
ejpam-5249	216	15	)	)	PUNCT
ejpam-5249	216	16	±iω0	±iω0	NOUN
ejpam-5249	216	17	.	.	PUNCT
ejpam-5249	217	1	let	let	VERB
ejpam-5249	217	2	λ	λ	INTJ
ejpam-5249	217	3	(	(	PUNCT
ejpam-5249	217	4	τ	τ	X
ejpam-5249	217	5	)	)	PUNCT
ejpam-5249	217	6	=	=	SYM
ejpam-5249	217	7	η	η	PROPN
ejpam-5249	217	8	(	(	PUNCT
ejpam-5249	217	9	τ)+	τ)+	NUM
ejpam-5249	217	10	iω	iω	X
ejpam-5249	217	11	(	(	PUNCT
ejpam-5249	217	12	τ	τ	X
ejpam-5249	217	13	)	)	PUNCT
ejpam-5249	217	14	represent	represent	VERB
ejpam-5249	217	15	the	the	DET
ejpam-5249	217	16	eigenvalue	eigenvalue	NOUN
ejpam-5249	217	17	of	of	ADP
ejpam-5249	217	18	eq.(18	eq.(18	NOUN
ejpam-5249	217	19	)	)	PUNCT
ejpam-5249	218	1	so	so	SCONJ
ejpam-5249	218	2	that	that	SCONJ
ejpam-5249	218	3	η	η	PROPN
ejpam-5249	218	4	(	(	PUNCT
ejpam-5249	218	5	τ0	τ0	PROPN
ejpam-5249	218	6	)	)	PUNCT
ejpam-5249	218	7	=	=	PUNCT
ejpam-5249	218	8	0,ω	0,ω	PROPN
ejpam-5249	218	9	(	(	PUNCT
ejpam-5249	218	10	τ0	τ0	NOUN
ejpam-5249	218	11	)	)	PUNCT
ejpam-5249	218	12	=	=	PUNCT
ejpam-5249	218	13	ω0	ω0	NOUN
ejpam-5249	218	14	.	.	PUNCT
ejpam-5249	219	1	by	by	ADP
ejpam-5249	219	2	means	mean	NOUN
ejpam-5249	219	3	of	of	ADP
ejpam-5249	219	4	eqs.(22	eqs.(22	NOUN
ejpam-5249	219	5	)	)	PUNCT
ejpam-5249	219	6	and	and	CCONJ
ejpam-5249	219	7	(	(	PUNCT
ejpam-5249	219	8	23	23	NUM
ejpam-5249	219	9	)	)	PUNCT
ejpam-5249	219	10	we	we	PRON
ejpam-5249	219	11	have	have	VERB
ejpam-5249	219	12	cosωτ	cosωτ	NOUN
ejpam-5249	219	13	=	=	SYM
ejpam-5249	219	14	1	1	NUM
ejpam-5249	219	15	△	△	NOUN
ejpam-5249	219	16	∣∣∣∣d1ω2	∣∣∣∣d1ω2	NOUN
ejpam-5249	219	17	−d3	−d3	PROPN
ejpam-5249	219	18	b2ω	b2ω	PROPN
ejpam-5249	219	19	ω3	ω3	PROPN
ejpam-5249	219	20	−d2ω	−d2ω	PROPN
ejpam-5249	219	21	−b1	−b1	PROPN
ejpam-5249	219	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5249	219	23	b.	b.	PROPN
ejpam-5249	219	24	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	219	25	,	,	PUNCT
ejpam-5249	219	26	r.	r.	PROPN
ejpam-5249	219	27	senthamarai	senthamarai	PROPN
ejpam-5249	219	28	/	/	SYM
ejpam-5249	219	29	eur	eur	PROPN
ejpam-5249	219	30	.	.	PUNCT
ejpam-5249	220	1	j.	j.	PROPN
ejpam-5249	220	2	pure	pure	PROPN
ejpam-5249	220	3	appl	appl	PROPN
ejpam-5249	220	4	.	.	PROPN
ejpam-5249	220	5	math	math	PROPN
ejpam-5249	220	6	,	,	PUNCT
ejpam-5249	220	7	17	17	NUM
ejpam-5249	220	8	(	(	PUNCT
ejpam-5249	220	9	3	3	NUM
ejpam-5249	220	10	)	)	PUNCT
ejpam-5249	220	11	(	(	PUNCT
ejpam-5249	220	12	2024	2024	NUM
ejpam-5249	220	13	)	)	PUNCT
ejpam-5249	220	14	,	,	PUNCT
ejpam-5249	220	15	1908	1908	NUM
ejpam-5249	220	16	-	-	SYM
ejpam-5249	220	17	1936	1936	NUM
ejpam-5249	220	18	1917	1917	NUM
ejpam-5249	220	19	=	=	PUNCT
ejpam-5249	220	20	(	(	PUNCT
ejpam-5249	220	21	−	−	PROPN
ejpam-5249	220	22	1	1	NUM
ejpam-5249	220	23	△	△	NOUN
ejpam-5249	220	24	)	)	PUNCT
ejpam-5249	220	25	(	(	PUNCT
ejpam-5249	220	26	b2ω	b2ω	NOUN
ejpam-5249	220	27	4	4	NUM
ejpam-5249	220	28	+	+	ADJ
ejpam-5249	220	29	(	(	PUNCT
ejpam-5249	220	30	d1	d1	PROPN
ejpam-5249	220	31	−d2b2)ω	−d2b2)ω	VERB
ejpam-5249	220	32	2	2	NUM
ejpam-5249	220	33	−d3b1	−d3b1	PROPN
ejpam-5249	220	34	)	)	PUNCT
ejpam-5249	220	35	,	,	PUNCT
ejpam-5249	220	36	where	where	SCONJ
ejpam-5249	220	37	△	△	NOUN
ejpam-5249	220	38	=	=	SYM
ejpam-5249	220	39	∣∣∣∣−b1	∣∣∣∣−b1	NOUN
ejpam-5249	220	40	b2ω	b2ω	NUM
ejpam-5249	220	41	b2ω	b2ω	NOUN
ejpam-5249	220	42	b1	b1	NOUN
ejpam-5249	220	43	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5249	220	44	=	=	PUNCT
ejpam-5249	220	45	b2	b2	NOUN
ejpam-5249	220	46	1	1	NUM
ejpam-5249	220	47	+	+	NOUN
ejpam-5249	220	48	b2	b2	NOUN
ejpam-5249	220	49	2ω	2ω	NUM
ejpam-5249	220	50	2	2	NUM
ejpam-5249	220	51	>	>	SYM
ejpam-5249	220	52	0	0	NUM
ejpam-5249	220	53	.	.	PUNCT
ejpam-5249	220	54	sinωτ	sinωτ	PROPN
ejpam-5249	220	55	=	=	NOUN
ejpam-5249	220	56	1	1	NUM
ejpam-5249	220	57	△	△	X
ejpam-5249	220	58	∣∣∣∣b2ω	∣∣∣∣b2ω	ADP
ejpam-5249	220	59	d1ω2	d1ω2	PROPN
ejpam-5249	220	60	−d3	−d3	PROPN
ejpam-5249	220	61	−b1	−b1	PROPN
ejpam-5249	220	62	ω3	ω3	PROPN
ejpam-5249	220	63	−d2ω	−d2ω	PROPN
ejpam-5249	220	64	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5249	220	65	=	=	SYM
ejpam-5249	220	66	b2ω	b2ω	NOUN
ejpam-5249	220	67	4	4	NUM
ejpam-5249	220	68	+	+	ADJ
ejpam-5249	220	69	(	(	PUNCT
ejpam-5249	220	70	b1d1	b1d1	NOUN
ejpam-5249	220	71	−d2b2)ω	−d2b2)ω	NOUN
ejpam-5249	220	72	2	2	PROPN
ejpam-5249	221	1	−b1d3	−b1d3	PROPN
ejpam-5249	221	2	.	.	PUNCT
ejpam-5249	222	1	τ	τ	PROPN
ejpam-5249	222	2	j	j	PROPN
ejpam-5249	222	3	=	=	SYM
ejpam-5249	222	4	1	1	NUM
ejpam-5249	222	5	ω0	ω0	ADV
ejpam-5249	222	6	(	(	PUNCT
ejpam-5249	222	7	cos−1	cos−1	PROPN
ejpam-5249	222	8	(	(	PUNCT
ejpam-5249	222	9	b2ω4	b2ω4	NUM
ejpam-5249	222	10	+	+	ADJ
ejpam-5249	222	11	(	(	PUNCT
ejpam-5249	222	12	b1d1	b1d1	NOUN
ejpam-5249	222	13	−d2b2)ω2	−d2b2)ω2	NOUN
ejpam-5249	222	14	−b1d3	−b1d3	PROPN
ejpam-5249	222	15	b2	b2	NOUN
ejpam-5249	222	16	1	1	NUM
ejpam-5249	222	17	+	+	NOUN
ejpam-5249	222	18	b2	b2	NOUN
ejpam-5249	222	19	2ω2	2ω2	NUM
ejpam-5249	222	20	)	)	PUNCT
ejpam-5249	222	21	+2	+2	PROPN
ejpam-5249	222	22	jπ	jπ	PROPN
ejpam-5249	222	23	)	)	PUNCT
ejpam-5249	222	24	,	,	PUNCT
ejpam-5249	222	25	j	j	PROPN
ejpam-5249	222	26	=	=	PUNCT
ejpam-5249	222	27	0,1,2,3,4	0,1,2,3,4	NUM
ejpam-5249	222	28	,	,	PUNCT
ejpam-5249	222	29	...	...	PUNCT
ejpam-5249	222	30	,	,	PUNCT
ejpam-5249	222	31	and	and	CCONJ
ejpam-5249	222	32	τ0	τ0	NOUN
ejpam-5249	222	33	=	=	SYM
ejpam-5249	222	34	1	1	NUM
ejpam-5249	222	35	ω0	ω0	NOUN
ejpam-5249	222	36	cos−1	cos−1	NOUN
ejpam-5249	222	37	(	(	PUNCT
ejpam-5249	222	38	b2ω4	b2ω4	NUM
ejpam-5249	222	39	+	+	ADJ
ejpam-5249	222	40	(	(	PUNCT
ejpam-5249	222	41	b1d1	b1d1	NOUN
ejpam-5249	222	42	−d2b2)ω2	−d2b2)ω2	NOUN
ejpam-5249	222	43	−b1d3	−b1d3	PROPN
ejpam-5249	222	44	b2	b2	NOUN
ejpam-5249	222	45	1	1	NUM
ejpam-5249	222	46	+	+	NOUN
ejpam-5249	222	47	b2	b2	NOUN
ejpam-5249	222	48	2ω2	2ω2	NUM
ejpam-5249	222	49	)	)	PUNCT
ejpam-5249	222	50	,	,	PUNCT
ejpam-5249	222	51	j	j	PROPN
ejpam-5249	222	52	=	=	PUNCT
ejpam-5249	222	53	0	0	PROPN
ejpam-5249	222	54	.	.	PUNCT
ejpam-5249	223	1	the	the	DET
ejpam-5249	223	2	set	set	NOUN
ejpam-5249	223	3	of	of	ADP
ejpam-5249	223	4	ordered	order	VERB
ejpam-5249	223	5	pair	pair	NOUN
ejpam-5249	223	6	is	be	AUX
ejpam-5249	223	7	(	(	PUNCT
ejpam-5249	223	8	ω0,τ0	ω0,τ0	PROPN
ejpam-5249	223	9	)	)	PUNCT
ejpam-5249	223	10	.	.	PUNCT
ejpam-5249	224	1	furthermore	furthermore	ADV
ejpam-5249	224	2	,	,	PUNCT
ejpam-5249	224	3	we	we	PRON
ejpam-5249	224	4	are	be	AUX
ejpam-5249	224	5	able	able	ADJ
ejpam-5249	224	6	to	to	PART
ejpam-5249	224	7	confirm	confirm	VERB
ejpam-5249	224	8	that	that	SCONJ
ejpam-5249	224	9	the	the	DET
ejpam-5249	224	10	subsequent	subsequent	ADJ
ejpam-5249	224	11	transversality	transversality	NOUN
ejpam-5249	224	12	requirement	requirement	NOUN
ejpam-5249	224	13	:	:	PUNCT
ejpam-5249	224	14	d	d	NOUN
ejpam-5249	224	15	dt	dt	X
ejpam-5249	224	16	reλ	reλ	NOUN
ejpam-5249	224	17	(	(	PUNCT
ejpam-5249	224	18	τ)|	τ)|	PROPN
ejpam-5249	224	19	τ	τ	PROPN
ejpam-5249	224	20	=	=	NOUN
ejpam-5249	224	21	τ0	τ0	NOUN
ejpam-5249	224	22	=	=	SYM
ejpam-5249	225	1	d	d	X
ejpam-5249	225	2	dt	dt	X
ejpam-5249	225	3	η	η	PROPN
ejpam-5249	225	4	(	(	PUNCT
ejpam-5249	225	5	τ	τ	PROPN
ejpam-5249	225	6	)	)	PUNCT
ejpam-5249	225	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5249	225	8	τ	τ	PROPN
ejpam-5249	225	9	=	=	NOUN
ejpam-5249	225	10	τ0	τ0	NOUN
ejpam-5249	225	11	(	(	PUNCT
ejpam-5249	225	12	30	30	NUM
ejpam-5249	225	13	)	)	PUNCT
ejpam-5249	225	14	holds	hold	NOUN
ejpam-5249	225	15	.	.	PUNCT
ejpam-5249	226	1	by	by	ADP
ejpam-5249	226	2	continuity	continuity	NOUN
ejpam-5249	226	3	,	,	PUNCT
ejpam-5249	226	4	when	when	SCONJ
ejpam-5249	226	5	τ	τ	PROPN
ejpam-5249	226	6	>	>	X
ejpam-5249	226	7	τ0	τ0	PROPN
ejpam-5249	226	8	,	,	PUNCT
ejpam-5249	226	9	the	the	DET
ejpam-5249	226	10	real	real	ADJ
ejpam-5249	226	11	part	part	NOUN
ejpam-5249	226	12	of	of	ADP
ejpam-5249	226	13	λ	λ	PROPN
ejpam-5249	226	14	(	(	PUNCT
ejpam-5249	226	15	τ	τ	X
ejpam-5249	226	16	)	)	PUNCT
ejpam-5249	226	17	becomes	become	VERB
ejpam-5249	226	18	positive	positive	ADJ
ejpam-5249	226	19	,	,	PUNCT
ejpam-5249	226	20	making	make	VERB
ejpam-5249	226	21	the	the	DET
ejpam-5249	226	22	steady	steady	ADJ
ejpam-5249	226	23	state	state	NOUN
ejpam-5249	226	24	unstable	unstable	ADJ
ejpam-5249	226	25	.	.	PUNCT
ejpam-5249	227	1	this	this	PRON
ejpam-5249	227	2	leads	lead	VERB
ejpam-5249	227	3	to	to	ADP
ejpam-5249	227	4	the	the	DET
ejpam-5249	227	5	bifurcation	bifurcation	NOUN
ejpam-5249	227	6	at	at	ADP
ejpam-5249	227	7	τ	τ	PROPN
ejpam-5249	227	8	=	=	PROPN
ejpam-5249	227	9	τ0	τ0	NOUN
ejpam-5249	227	10	,	,	PUNCT
ejpam-5249	227	11	as	as	SCONJ
ejpam-5249	227	12	shown	show	VERB
ejpam-5249	227	13	by	by	ADP
ejpam-5249	227	14	eqs.(5)−(7	eqs.(5)−(7	NOUN
ejpam-5249	227	15	)	)	PUNCT
ejpam-5249	227	16	.	.	PUNCT
ejpam-5249	228	1	6	6	X
ejpam-5249	228	2	.	.	X
ejpam-5249	228	3	analysis	analysis	NOUN
ejpam-5249	228	4	of	of	ADP
ejpam-5249	228	5	sensitivity	sensitivity	NOUN
ejpam-5249	228	6	parameters	parameter	NOUN
ejpam-5249	228	7	this	this	DET
ejpam-5249	228	8	section	section	NOUN
ejpam-5249	228	9	provides	provide	VERB
ejpam-5249	228	10	information	information	NOUN
ejpam-5249	228	11	on	on	ADP
ejpam-5249	228	12	how	how	SCONJ
ejpam-5249	228	13	changing	changing	ADJ
ejpam-5249	228	14	parameter	parameter	NOUN
ejpam-5249	228	15	values	value	NOUN
ejpam-5249	228	16	affect	affect	VERB
ejpam-5249	228	17	the	the	DET
ejpam-5249	228	18	functional	functional	ADJ
ejpam-5249	228	19	value	value	NOUN
ejpam-5249	228	20	of	of	ADP
ejpam-5249	228	21	the	the	DET
ejpam-5249	228	22	reproduction	reproduction	NOUN
ejpam-5249	228	23	number	number	NOUN
ejpam-5249	228	24	r0	r0	NOUN
ejpam-5249	228	25	.	.	PUNCT
ejpam-5249	229	1	the	the	DET
ejpam-5249	229	2	crucial	crucial	ADJ
ejpam-5249	229	3	parameter	parameter	NOUN
ejpam-5249	229	4	needs	need	VERB
ejpam-5249	229	5	to	to	PART
ejpam-5249	229	6	be	be	AUX
ejpam-5249	229	7	identified	identify	VERB
ejpam-5249	229	8	since	since	SCONJ
ejpam-5249	229	9	it	it	PRON
ejpam-5249	229	10	may	may	AUX
ejpam-5249	229	11	serve	serve	VERB
ejpam-5249	229	12	as	as	ADP
ejpam-5249	229	13	a	a	DET
ejpam-5249	229	14	significant	significant	ADJ
ejpam-5249	229	15	threshold	threshold	NOUN
ejpam-5249	229	16	for	for	ADP
ejpam-5249	229	17	the	the	DET
ejpam-5249	229	18	treatment	treatment	NOUN
ejpam-5249	229	19	of	of	ADP
ejpam-5249	229	20	diseases	disease	NOUN
ejpam-5249	229	21	.	.	PUNCT
ejpam-5249	230	1	the	the	DET
ejpam-5249	230	2	following	follow	VERB
ejpam-5249	230	3	are	be	AUX
ejpam-5249	230	4	the	the	DET
ejpam-5249	230	5	algebraic	algebraic	ADJ
ejpam-5249	230	6	representations	representation	NOUN
ejpam-5249	230	7	of	of	ADP
ejpam-5249	230	8	the	the	DET
ejpam-5249	230	9	r0	r0	NOUN
ejpam-5249	230	10	sensitivity	sensitivity	NOUN
ejpam-5249	230	11	index	index	NOUN
ejpam-5249	230	12	to	to	ADP
ejpam-5249	230	13	the	the	DET
ejpam-5249	230	14	parameters	parameter	NOUN
ejpam-5249	230	15	v	v	ADP
ejpam-5249	230	16	,	,	PUNCT
ejpam-5249	230	17	s	s	PROPN
ejpam-5249	230	18	,	,	PUNCT
ejpam-5249	230	19	b	b	PROPN
ejpam-5249	230	20	,	,	PUNCT
ejpam-5249	230	21	a	a	DET
ejpam-5249	230	22	,	,	PUNCT
ejpam-5249	230	23	w	w	PROPN
ejpam-5249	230	24	,	,	PUNCT
ejpam-5249	230	25	µ	µ	NOUN
ejpam-5249	230	26	:	:	PUNCT
ejpam-5249	230	27	∂r0	∂r0	ADP
ejpam-5249	230	28	∂v	∂v	NOUN
ejpam-5249	230	29	=	=	PUNCT
ejpam-5249	230	30	µsaw	µsaw	NOUN
ejpam-5249	230	31	(	(	PUNCT
ejpam-5249	230	32	µs)2	µs)2	NOUN
ejpam-5249	230	33	,	,	PUNCT
ejpam-5249	230	34	∂r0	∂r0	ADP
ejpam-5249	230	35	∂	∂	NOUN
ejpam-5249	230	36	s	s	PART
ejpam-5249	230	37	=	=	X
ejpam-5249	230	38	−avwµ	−avwµ	NOUN
ejpam-5249	230	39	(	(	PUNCT
ejpam-5249	230	40	µs)2	µs)2	NOUN
ejpam-5249	230	41	,	,	PUNCT
ejpam-5249	230	42	∂r0	∂r0	PROPN
ejpam-5249	230	43	∂b	∂b	PROPN
ejpam-5249	230	44	=	=	SYM
ejpam-5249	230	45	0	0	NUM
ejpam-5249	230	46	,	,	PUNCT
ejpam-5249	230	47	∂r0	∂r0	ADP
ejpam-5249	230	48	∂a	∂a	NOUN
ejpam-5249	230	49	=	=	PUNCT
ejpam-5249	230	50	µsvw	µsvw	NOUN
ejpam-5249	230	51	(	(	PUNCT
ejpam-5249	230	52	µs)2	µs)2	NOUN
ejpam-5249	230	53	,	,	PUNCT
ejpam-5249	230	54	∂r0	∂r0	PROPN
ejpam-5249	230	55	∂w	∂w	PROPN
ejpam-5249	230	56	=	=	SYM
ejpam-5249	230	57	µsav	µsav	PROPN
ejpam-5249	230	58	(	(	PUNCT
ejpam-5249	230	59	µs)2	µs)2	NOUN
ejpam-5249	230	60	,	,	PUNCT
ejpam-5249	230	61	∂r0	∂r0	ADP
ejpam-5249	230	62	∂	∂	NOUN
ejpam-5249	230	63	µ	µ	X
ejpam-5249	230	64	=	=	SYM
ejpam-5249	230	65	−avws	−avws	PROPN
ejpam-5249	230	66	(	(	PUNCT
ejpam-5249	230	67	µs)2	µs)2	NOUN
ejpam-5249	230	68	.	.	PUNCT
ejpam-5249	231	1	the	the	DET
ejpam-5249	231	2	conclusion	conclusion	NOUN
ejpam-5249	231	3	is	be	AUX
ejpam-5249	231	4	that	that	SCONJ
ejpam-5249	231	5	there	there	PRON
ejpam-5249	231	6	exist	exist	VERB
ejpam-5249	231	7	positive	positive	ADJ
ejpam-5249	231	8	partial	partial	ADJ
ejpam-5249	231	9	derivatives	derivative	NOUN
ejpam-5249	231	10	,	,	PUNCT
ejpam-5249	231	11	and	and	CCONJ
ejpam-5249	231	12	that	that	SCONJ
ejpam-5249	231	13	the	the	DET
ejpam-5249	231	14	basic	basic	ADJ
ejpam-5249	231	15	reproductive	reproductive	ADJ
ejpam-5249	231	16	number	number	NOUN
ejpam-5249	231	17	r0	r0	NOUN
ejpam-5249	231	18	grows	grow	VERB
ejpam-5249	231	19	as	as	ADP
ejpam-5249	231	20	any	any	PRON
ejpam-5249	231	21	of	of	ADP
ejpam-5249	231	22	the	the	DET
ejpam-5249	231	23	above	above	ADJ
ejpam-5249	231	24	positive	positive	ADJ
ejpam-5249	231	25	value	value	NOUN
ejpam-5249	231	26	parameters	parameter	NOUN
ejpam-5249	231	27	v	v	ADP
ejpam-5249	231	28	,	,	PUNCT
ejpam-5249	231	29	a	a	DET
ejpam-5249	231	30	,	,	PUNCT
ejpam-5249	231	31	w	w	NOUN
ejpam-5249	231	32	increase	increase	NOUN
ejpam-5249	231	33	.	.	PUNCT
ejpam-5249	232	1	the	the	DET
ejpam-5249	232	2	proportional	proportional	ADJ
ejpam-5249	232	3	response	response	NOUN
ejpam-5249	232	4	to	to	ADP
ejpam-5249	232	5	the	the	DET
ejpam-5249	232	6	proportional	proportional	ADJ
ejpam-5249	232	7	perturbation	perturbation	NOUN
ejpam-5249	232	8	is	be	AUX
ejpam-5249	232	9	used	use	VERB
ejpam-5249	232	10	to	to	PART
ejpam-5249	232	11	estimate	estimate	VERB
ejpam-5249	232	12	the	the	DET
ejpam-5249	232	13	elasticity	elasticity	NOUN
ejpam-5249	232	14	.	.	PUNCT
ejpam-5249	233	1	we	we	PRON
ejpam-5249	233	2	’ve	’ve	VERB
ejpam-5249	233	3	ev	ev	X
ejpam-5249	233	4	=	=	SYM
ejpam-5249	233	5	v	v	PROPN
ejpam-5249	233	6	r0	r0	NOUN
ejpam-5249	233	7	∂r0	∂r0	ADP
ejpam-5249	233	8	∂v	∂v	PROPN
ejpam-5249	234	1	=	=	PUNCT
ejpam-5249	235	1	(	(	PUNCT
ejpam-5249	235	2	vµs	vµs	NOUN
ejpam-5249	235	3	avw	avw	NOUN
ejpam-5249	235	4	)	)	PUNCT
ejpam-5249	235	5	(	(	PUNCT
ejpam-5249	235	6	µsaw	µsaw	NOUN
ejpam-5249	235	7	(	(	PUNCT
ejpam-5249	235	8	µs)2	µs)2	NOUN
ejpam-5249	235	9	)	)	PUNCT
ejpam-5249	235	10	=	=	SYM
ejpam-5249	235	11	1	1	NUM
ejpam-5249	235	12	,	,	PUNCT
ejpam-5249	235	13	ea	ea	X
ejpam-5249	235	14	=	=	PUNCT
ejpam-5249	235	15	a	a	DET
ejpam-5249	235	16	r0	r0	NOUN
ejpam-5249	235	17	∂r0	∂r0	ADP
ejpam-5249	235	18	∂a	∂a	NOUN
ejpam-5249	235	19	=	=	PUNCT
ejpam-5249	235	20	(	(	PUNCT
ejpam-5249	235	21	aµs	aµs	NOUN
ejpam-5249	235	22	avw	avw	NOUN
ejpam-5249	235	23	)	)	PUNCT
ejpam-5249	235	24	(	(	PUNCT
ejpam-5249	235	25	µsvw	µsvw	NOUN
ejpam-5249	235	26	(	(	PUNCT
ejpam-5249	235	27	µs)2	µs)2	NOUN
ejpam-5249	235	28	)	)	PUNCT
ejpam-5249	235	29	=	=	SYM
ejpam-5249	235	30	1	1	NUM
ejpam-5249	235	31	,	,	PUNCT
ejpam-5249	235	32	b.	b.	PROPN
ejpam-5249	235	33	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	235	34	,	,	PUNCT
ejpam-5249	235	35	r.	r.	PROPN
ejpam-5249	235	36	senthamarai	senthamarai	PROPN
ejpam-5249	235	37	/	/	SYM
ejpam-5249	235	38	eur	eur	PROPN
ejpam-5249	235	39	.	.	PUNCT
ejpam-5249	236	1	j.	j.	PROPN
ejpam-5249	236	2	pure	pure	PROPN
ejpam-5249	236	3	appl	appl	PROPN
ejpam-5249	236	4	.	.	PROPN
ejpam-5249	236	5	math	math	PROPN
ejpam-5249	236	6	,	,	PUNCT
ejpam-5249	236	7	17	17	NUM
ejpam-5249	236	8	(	(	PUNCT
ejpam-5249	236	9	3	3	NUM
ejpam-5249	236	10	)	)	PUNCT
ejpam-5249	236	11	(	(	PUNCT
ejpam-5249	236	12	2024	2024	NUM
ejpam-5249	236	13	)	)	PUNCT
ejpam-5249	236	14	,	,	PUNCT
ejpam-5249	236	15	1908	1908	NUM
ejpam-5249	236	16	-	-	SYM
ejpam-5249	236	17	1936	1936	NUM
ejpam-5249	236	18	1918	1918	NUM
ejpam-5249	237	1	ew	ew	NOUN
ejpam-5249	237	2	=	=	SYM
ejpam-5249	237	3	w	w	PROPN
ejpam-5249	237	4	r0	r0	NOUN
ejpam-5249	237	5	∂r0	∂r0	ADP
ejpam-5249	237	6	∂w	∂w	PROPN
ejpam-5249	237	7	=	=	PUNCT
ejpam-5249	237	8	(	(	PUNCT
ejpam-5249	237	9	wµs	wµs	NOUN
ejpam-5249	237	10	avw	avw	NOUN
ejpam-5249	237	11	)	)	PUNCT
ejpam-5249	237	12	(	(	PUNCT
ejpam-5249	237	13	µsav	µsav	PROPN
ejpam-5249	237	14	(	(	PUNCT
ejpam-5249	237	15	µs)2	µs)2	NOUN
ejpam-5249	237	16	)	)	PUNCT
ejpam-5249	237	17	=	=	SYM
ejpam-5249	238	1	1	1	X
ejpam-5249	238	2	.	.	PUNCT
ejpam-5249	238	3	it	it	PRON
ejpam-5249	238	4	can	can	AUX
ejpam-5249	238	5	be	be	AUX
ejpam-5249	238	6	seen	see	VERB
ejpam-5249	238	7	from	from	ADP
ejpam-5249	238	8	the	the	DET
ejpam-5249	238	9	following	follow	VERB
ejpam-5249	238	10	expressions	expression	NOUN
ejpam-5249	238	11	that	that	PRON
ejpam-5249	238	12	ev	ev	ADP
ejpam-5249	238	13	,	,	PUNCT
ejpam-5249	238	14	ea	ea	PROPN
ejpam-5249	238	15	,	,	PUNCT
ejpam-5249	238	16	and	and	CCONJ
ejpam-5249	238	17	ew	ew	PRON
ejpam-5249	238	18	are	be	VERB
ejpam-5249	238	19	all	all	ADV
ejpam-5249	238	20	positive	positive	ADJ
ejpam-5249	238	21	.	.	PUNCT
ejpam-5249	239	1	this	this	PRON
ejpam-5249	239	2	suggests	suggest	VERB
ejpam-5249	239	3	that	that	SCONJ
ejpam-5249	239	4	increasing	increase	VERB
ejpam-5249	239	5	the	the	DET
ejpam-5249	239	6	values	value	NOUN
ejpam-5249	239	7	of	of	ADP
ejpam-5249	239	8	the	the	DET
ejpam-5249	239	9	parameters	parameter	NOUN
ejpam-5249	239	10	v	v	ADP
ejpam-5249	239	11	,	,	PUNCT
ejpam-5249	239	12	a	a	PRON
ejpam-5249	239	13	,	,	PUNCT
ejpam-5249	239	14	and	and	CCONJ
ejpam-5249	239	15	w	w	NOUN
ejpam-5249	239	16	increases	increase	VERB
ejpam-5249	239	17	the	the	DET
ejpam-5249	239	18	value	value	NOUN
ejpam-5249	239	19	of	of	ADP
ejpam-5249	239	20	the	the	DET
ejpam-5249	239	21	basic	basic	ADJ
ejpam-5249	239	22	reproduction	reproduction	NOUN
ejpam-5249	239	23	number	number	NOUN
ejpam-5249	239	24	r0	r0	NOUN
ejpam-5249	239	25	.	.	PUNCT
ejpam-5249	240	1	a	a	DET
ejpam-5249	240	2	large	large	ADJ
ejpam-5249	240	3	variation	variation	NOUN
ejpam-5249	240	4	in	in	ADP
ejpam-5249	240	5	the	the	DET
ejpam-5249	240	6	fundamental	fundamental	ADJ
ejpam-5249	240	7	reproduction	reproduction	NOUN
ejpam-5249	240	8	number	number	NOUN
ejpam-5249	240	9	might	might	AUX
ejpam-5249	240	10	result	result	VERB
ejpam-5249	240	11	from	from	ADP
ejpam-5249	240	12	even	even	ADV
ejpam-5249	240	13	the	the	DET
ejpam-5249	240	14	smallest	small	ADJ
ejpam-5249	240	15	adjustment	adjustment	NOUN
ejpam-5249	240	16	in	in	ADP
ejpam-5249	240	17	these	these	DET
ejpam-5249	240	18	parameters	parameter	NOUN
ejpam-5249	240	19	.	.	PUNCT
ejpam-5249	241	1	it	it	PRON
ejpam-5249	241	2	is	be	AUX
ejpam-5249	241	3	important	important	ADJ
ejpam-5249	241	4	to	to	PART
ejpam-5249	241	5	carefully	carefully	ADV
ejpam-5249	241	6	calculate	calculate	VERB
ejpam-5249	241	7	an	an	DET
ejpam-5249	241	8	extremely	extremely	ADV
ejpam-5249	241	9	sensitive	sensitive	ADJ
ejpam-5249	241	10	parameter	parameter	NOUN
ejpam-5249	241	11	since	since	SCONJ
ejpam-5249	241	12	even	even	ADV
ejpam-5249	241	13	a	a	DET
ejpam-5249	241	14	small	small	ADJ
ejpam-5249	241	15	variation	variation	NOUN
ejpam-5249	241	16	might	might	AUX
ejpam-5249	241	17	cause	cause	VERB
ejpam-5249	241	18	significant	significant	ADJ
ejpam-5249	241	19	quantitative	quantitative	ADJ
ejpam-5249	241	20	changes	change	NOUN
ejpam-5249	241	21	in	in	ADP
ejpam-5249	241	22	the	the	DET
ejpam-5249	241	23	system	system	NOUN
ejpam-5249	241	24	.	.	PUNCT
ejpam-5249	242	1	figure	figure	VERB
ejpam-5249	242	2	1	1	NUM
ejpam-5249	242	3	:	:	PUNCT
ejpam-5249	242	4	nature	nature	NOUN
ejpam-5249	242	5	and	and	CCONJ
ejpam-5249	242	6	extent	extent	NOUN
ejpam-5249	242	7	of	of	ADP
ejpam-5249	242	8	infestation	infestation	NOUN
ejpam-5249	242	9	in	in	ADP
ejpam-5249	242	10	the	the	DET
ejpam-5249	242	11	coconut	coconut	NOUN
ejpam-5249	242	12	plant	plant	NOUN
ejpam-5249	242	13	7	7	NUM
ejpam-5249	242	14	.	.	PUNCT
ejpam-5249	242	15	mathematical	mathematical	ADJ
ejpam-5249	242	16	analysis	analysis	NOUN
ejpam-5249	242	17	7.1	7.1	NUM
ejpam-5249	242	18	.	.	PUNCT
ejpam-5249	243	1	approximate	approximate	ADJ
ejpam-5249	243	2	analytical	analytical	ADJ
ejpam-5249	243	3	solution	solution	NOUN
ejpam-5249	243	4	of	of	ADP
ejpam-5249	243	5	ode	ode	ADJ
ejpam-5249	243	6	eqs.(1)−(4	eqs.(1)−(4	NOUN
ejpam-5249	243	7	)	)	PUNCT
ejpam-5249	243	8	using	use	VERB
ejpam-5249	243	9	homotopy	homotopy	NOUN
ejpam-5249	243	10	perturbation	perturbation	NOUN
ejpam-5249	243	11	method	method	NOUN
ejpam-5249	243	12	several	several	ADJ
ejpam-5249	243	13	authors	author	NOUN
ejpam-5249	243	14	using	use	VERB
ejpam-5249	243	15	the	the	DET
ejpam-5249	243	16	homotopy	homotopy	NOUN
ejpam-5249	243	17	perturbation	perturbation	NOUN
ejpam-5249	243	18	method	method	NOUN
ejpam-5249	243	19	[	[	X
ejpam-5249	243	20	8	8	NUM
ejpam-5249	243	21	]	]	PUNCT
ejpam-5249	243	22	and	and	CCONJ
ejpam-5249	244	1	[	[	X
ejpam-5249	244	2	9	9	NUM
ejpam-5249	244	3	]	]	PUNCT
ejpam-5249	244	4	to	to	PART
ejpam-5249	244	5	produce	produce	VERB
ejpam-5249	244	6	approximate	approximate	ADJ
ejpam-5249	244	7	analytical	analytical	ADJ
ejpam-5249	244	8	solution	solution	NOUN
ejpam-5249	244	9	for	for	ADP
ejpam-5249	244	10	different	different	ADJ
ejpam-5249	244	11	non	non	ADJ
ejpam-5249	244	12	-	-	ADJ
ejpam-5249	244	13	linear	linear	ADJ
ejpam-5249	244	14	problems	problem	NOUN
ejpam-5249	244	15	established	establish	VERB
ejpam-5249	244	16	the	the	DET
ejpam-5249	244	17	effectiveness	effectiveness	NOUN
ejpam-5249	244	18	of	of	ADP
ejpam-5249	244	19	the	the	DET
ejpam-5249	244	20	homotopy	homotopy	NOUN
ejpam-5249	244	21	perturbation	perturbation	NOUN
ejpam-5249	244	22	method	method	NOUN
ejpam-5249	244	23	for	for	ADP
ejpam-5249	244	24	solving	solve	VERB
ejpam-5249	244	25	various	various	ADJ
ejpam-5249	244	26	engineering	engineering	NOUN
ejpam-5249	244	27	,	,	PUNCT
ejpam-5249	244	28	physical	physical	ADJ
ejpam-5249	244	29	,	,	PUNCT
ejpam-5249	244	30	chemical	chemical	NOUN
ejpam-5249	244	31	and	and	CCONJ
ejpam-5249	244	32	biological	biological	ADJ
ejpam-5249	244	33	problems	problem	NOUN
ejpam-5249	244	34	.	.	PUNCT
ejpam-5249	245	1	this	this	DET
ejpam-5249	245	2	method	method	NOUN
ejpam-5249	245	3	plays	play	VERB
ejpam-5249	245	4	a	a	DET
ejpam-5249	245	5	vital	vital	ADJ
ejpam-5249	245	6	role	role	NOUN
ejpam-5249	245	7	in	in	ADP
ejpam-5249	245	8	bio	bio	ADJ
ejpam-5249	245	9	-	-	ADJ
ejpam-5249	245	10	mathematical	mathematical	ADJ
ejpam-5249	245	11	sciences	science	NOUN
ejpam-5249	245	12	.	.	PUNCT
ejpam-5249	246	1	we	we	PRON
ejpam-5249	246	2	obtain	obtain	VERB
ejpam-5249	246	3	the	the	DET
ejpam-5249	246	4	following	follow	VERB
ejpam-5249	246	5	analytical	analytical	ADJ
ejpam-5249	246	6	solutions	solution	NOUN
ejpam-5249	246	7	of	of	ADP
ejpam-5249	246	8	the	the	PRON
ejpam-5249	246	9	of	of	ADP
ejpam-5249	246	10	eqs.(1)−(4	eqs.(1)−(4	NOUN
ejpam-5249	246	11	)	)	PUNCT
ejpam-5249	246	12	by	by	ADP
ejpam-5249	246	13	using	use	VERB
ejpam-5249	246	14	homotopy	homotopy	NOUN
ejpam-5249	246	15	perturbation	perturbation	NOUN
ejpam-5249	246	16	method	method	NOUN
ejpam-5249	246	17	.	.	PUNCT
ejpam-5249	247	1	x(t	x(t	PROPN
ejpam-5249	247	2	)	)	PUNCT
ejpam-5249	247	3	=	=	PRON
ejpam-5249	248	1	(	(	PUNCT
ejpam-5249	248	2	l	l	NOUN
ejpam-5249	248	3	−	−	PROPN
ejpam-5249	248	4	l(lebt−mbe−µt	l(lebt−mbe−µt	PROPN
ejpam-5249	248	5	µ	µ	ADV
ejpam-5249	248	6	−	−	PROPN
ejpam-5249	248	7	vane−µt	vane−µt	PROPN
ejpam-5249	248	8	s	s	PART
ejpam-5249	248	9	)	)	PUNCT
ejpam-5249	248	10	v	v	NOUN
ejpam-5249	248	11	+	+	X
ejpam-5249	248	12	l(l	l(l	NOUN
ejpam-5249	248	13	−	−	NOUN
ejpam-5249	248	14	mb	mb	ADP
ejpam-5249	248	15	µ	µ	PROPN
ejpam-5249	248	16	−	−	PROPN
ejpam-5249	248	17	van	van	PROPN
ejpam-5249	248	18	s	s	PART
ejpam-5249	248	19	)	)	PUNCT
ejpam-5249	248	20	v	v	NOUN
ejpam-5249	248	21	)	)	PUNCT
ejpam-5249	248	22	ebt	ebt	PROPN
ejpam-5249	248	23	b.	b.	PROPN
ejpam-5249	248	24	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	248	25	,	,	PUNCT
ejpam-5249	248	26	r.	r.	PROPN
ejpam-5249	248	27	senthamarai	senthamarai	PROPN
ejpam-5249	248	28	/	/	SYM
ejpam-5249	248	29	eur	eur	PROPN
ejpam-5249	248	30	.	.	PUNCT
ejpam-5249	249	1	j.	j.	PROPN
ejpam-5249	249	2	pure	pure	PROPN
ejpam-5249	249	3	appl	appl	PROPN
ejpam-5249	249	4	.	.	PROPN
ejpam-5249	249	5	math	math	PROPN
ejpam-5249	249	6	,	,	PUNCT
ejpam-5249	249	7	17	17	NUM
ejpam-5249	249	8	(	(	PUNCT
ejpam-5249	249	9	3	3	NUM
ejpam-5249	249	10	)	)	PUNCT
ejpam-5249	249	11	(	(	PUNCT
ejpam-5249	249	12	2024	2024	NUM
ejpam-5249	249	13	)	)	PUNCT
ejpam-5249	249	14	,	,	PUNCT
ejpam-5249	249	15	1908	1908	NUM
ejpam-5249	249	16	-	-	SYM
ejpam-5249	249	17	1936	1936	NUM
ejpam-5249	249	18	1919	1919	NUM
ejpam-5249	250	1	+	+	CCONJ
ejpam-5249	250	2	(	(	PUNCT
ejpam-5249	250	3	1	1	NUM
ejpam-5249	250	4	v2µs(µ	v2µs(µ	PROPN
ejpam-5249	250	5	+	+	NOUN
ejpam-5249	250	6	b−	b−	NOUN
ejpam-5249	250	7	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	250	8	)	)	PUNCT
ejpam-5249	250	9	(	(	PUNCT
ejpam-5249	250	10	l(µ	l(µ	PROPN
ejpam-5249	250	11	+	+	PROPN
ejpam-5249	250	12	b−	b−	PROPN
ejpam-5249	250	13	s	s	PART
ejpam-5249	250	14	)	)	PUNCT
ejpam-5249	250	15	(	(	PUNCT
ejpam-5249	250	16	bs(−s+µ	bs(−s+µ	PROPN
ejpam-5249	250	17	)	)	PUNCT
ejpam-5249	250	18	(	(	PUNCT
ejpam-5249	250	19	lµe−µt	lµe−µt	PROPN
ejpam-5249	250	20	b	b	PROPN
ejpam-5249	250	21	−	−	PROPN
ejpam-5249	250	22	vm2be−sµt	vm2be−sµt	NOUN
ejpam-5249	250	23	2µ	2µ	NUM
ejpam-5249	250	24	)	)	PUNCT
ejpam-5249	250	25	)	)	PUNCT
ejpam-5249	251	1	−	−	PROPN
ejpam-5249	251	2	1	1	NUM
ejpam-5249	251	3	µ	µ	X
ejpam-5249	251	4	(	(	PUNCT
ejpam-5249	251	5	(	(	PUNCT
ejpam-5249	251	6	−ms(−s+µ)(vm+1)b3	−ms(−s+µ)(vm+1)b3	X
ejpam-5249	251	7	−	−	PROPN
ejpam-5249	251	8	(	(	PUNCT
ejpam-5249	251	9	(	(	PUNCT
ejpam-5249	251	10	(	(	PUNCT
ejpam-5249	251	11	1+(−l	1+(−l	NUM
ejpam-5249	251	12	+	+	ADJ
ejpam-5249	251	13	m)v)s)+	m)v)s)+	PROPN
ejpam-5249	251	14	v2an)µ	v2an)µ	PROPN
ejpam-5249	251	15	−	−	PROPN
ejpam-5249	251	16	s2(vm+1))(−s+µ)mb2	s2(vm+1))(−s+µ)mb2	SYM
ejpam-5249	251	17	−µv(m(van−	−µv(m(van−	PUNCT
ejpam-5249	252	1	ls)µ2)−2	ls)µ2)−2	PROPN
ejpam-5249	252	2	(	(	PUNCT
ejpam-5249	252	3	−	−	PROPN
ejpam-5249	252	4	lsm+an	lsm+an	PROPN
ejpam-5249	252	5	(	(	PUNCT
ejpam-5249	252	6	vm−	vm−	NUM
ejpam-5249	252	7	l	l	NOUN
ejpam-5249	252	8	2	2	NUM
ejpam-5249	252	9	)	)	PUNCT
ejpam-5249	252	10	)	)	PUNCT
ejpam-5249	252	11	sµ	sµ	ADP
ejpam-5249	253	1	+	+	PROPN
ejpam-5249	253	2	(	(	PUNCT
ejpam-5249	253	3	−ls2m+an(vm−	−ls2m+an(vm−	ADP
ejpam-5249	253	4	l)s+	l)s+	NOUN
ejpam-5249	253	5	vamw)s	vamw)s	NOUN
ejpam-5249	253	6	)	)	PUNCT
ejpam-5249	253	7	b−	b−	PROPN
ejpam-5249	253	8	v2amµws(−s+µ)ebt	v2amµws(−s+µ)ebt	VERB
ejpam-5249	253	9	)	)	PUNCT
ejpam-5249	254	1	+	+	CCONJ
ejpam-5249	254	2	tmb2s3	tmb2s3	NOUN
ejpam-5249	254	3	+	+	CCONJ
ejpam-5249	254	4	tlµb2s2	tlµb2s2	NOUN
ejpam-5249	254	5	+	+	CCONJ
ejpam-5249	254	6	tmµb3s+	tmµb3s+	X
ejpam-5249	254	7	tmµ	tmµ	ADP
ejpam-5249	254	8	2b2s+	2b2s+	NUM
ejpam-5249	254	9	tavnµ	tavnµ	NOUN
ejpam-5249	254	10	2b2	2b2	NUM
ejpam-5249	254	11	+	+	NUM
ejpam-5249	254	12	tavnµ	tavnµ	NOUN
ejpam-5249	254	13	3b+	3b+	NUM
ejpam-5249	254	14	tavnµbs2	tavnµbs2	NOUN
ejpam-5249	254	15	+	+	CCONJ
ejpam-5249	254	16	valnµbs(−s+µ)e(b−s)t	valnµbs(−s+µ)e(b−s)t	PROPN
ejpam-5249	254	17	b−	b−	PROPN
ejpam-5249	254	18	s	s	PART
ejpam-5249	254	19	+	+	NUM
ejpam-5249	254	20	v2amnµb(−s+µ)(µ	v2amnµb(−s+µ)(µ	PROPN
ejpam-5249	254	21	+	+	NOUN
ejpam-5249	254	22	b−	b−	PROPN
ejpam-5249	254	23	s)e−(µ+s)t	s)e−(µ+s)t	NOUN
ejpam-5249	254	24	−µ	−µ	PROPN
ejpam-5249	255	1	−	−	PROPN
ejpam-5249	255	2	s	s	PART
ejpam-5249	255	3	−	−	PROPN
ejpam-5249	255	4	tmb3s2	tmb3s2	NOUN
ejpam-5249	255	5	−	−	PROPN
ejpam-5249	255	6	tlµbs3	tlµbs3	NOUN
ejpam-5249	255	7	+2tlµ2bs2	+2tlµ2bs2	ADP
ejpam-5249	255	8	−	−	PROPN
ejpam-5249	255	9	tlµ2b2s−	tlµ2b2s−	NOUN
ejpam-5249	255	10	tlµ3bs−2tmµb2s2	tlµ3bs−2tmµb2s2	NOUN
ejpam-5249	255	11	−	−	PROPN
ejpam-5249	255	12	tavnµb2s−2tavnµ	tavnµb2s−2tavnµ	PROPN
ejpam-5249	255	13	2bs−	2bs−	NUM
ejpam-5249	255	14	vlmµbs(−s+µ)(µ	vlmµbs(−s+µ)(µ	VERB
ejpam-5249	256	1	+	+	ADP
ejpam-5249	256	2	b−	b−	PROPN
ejpam-5249	256	3	s)e−(µ−b)t	s)e−(µ−b)t	PROPN
ejpam-5249	256	4	−µ	−µ	PROPN
ejpam-5249	257	1	+	+	NOUN
ejpam-5249	257	2	b	b	NOUN
ejpam-5249	257	3	)	)	PUNCT
ejpam-5249	257	4	)	)	PUNCT
ejpam-5249	257	5	−	−	PROPN
ejpam-5249	257	6	1	1	NUM
ejpam-5249	257	7	v2µs(µ	v2µs(µ	PROPN
ejpam-5249	257	8	+	+	PROPN
ejpam-5249	257	9	b−	b−	NOUN
ejpam-5249	257	10	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	257	11	)	)	PUNCT
ejpam-5249	257	12	(	(	PUNCT
ejpam-5249	257	13	l	l	X
ejpam-5249	257	14	(	(	PUNCT
ejpam-5249	257	15	(	(	PUNCT
ejpam-5249	257	16	µ	µ	X
ejpam-5249	257	17	+	+	NOUN
ejpam-5249	257	18	b−	b−	NOUN
ejpam-5249	257	19	s	s	PART
ejpam-5249	257	20	)	)	PUNCT
ejpam-5249	257	21	(	(	PUNCT
ejpam-5249	257	22	bs(−s+µ	bs(−s+µ	PROPN
ejpam-5249	257	23	)	)	PUNCT
ejpam-5249	257	24	(	(	PUNCT
ejpam-5249	257	25	lµ	lµ	PROPN
ejpam-5249	257	26	b	b	X
ejpam-5249	258	1	−	−	PROPN
ejpam-5249	258	2	vm2b	vm2b	PROPN
ejpam-5249	258	3	2µ	2µ	NUM
ejpam-5249	258	4	)	)	PUNCT
ejpam-5249	259	1	−	−	PROPN
ejpam-5249	259	2	µ(−n(−s+µ)b+	µ(−n(−s+µ)b+	PROPN
ejpam-5249	259	3	vmws)av	vmws)av	NOUN
ejpam-5249	259	4	s	s	PART
ejpam-5249	259	5	)	)	PUNCT
ejpam-5249	259	6	−	−	PROPN
ejpam-5249	259	7	1	1	NUM
ejpam-5249	259	8	µ	µ	X
ejpam-5249	259	9	(	(	PUNCT
ejpam-5249	259	10	−ms(−s+µ)(vm+1)b3	−ms(−s+µ)(vm+1)b3	X
ejpam-5249	259	11	−	−	PROPN
ejpam-5249	259	12	(	(	PUNCT
ejpam-5249	259	13	(	(	PUNCT
ejpam-5249	259	14	(	(	PUNCT
ejpam-5249	259	15	1+(−l	1+(−l	NUM
ejpam-5249	259	16	+	+	NOUN
ejpam-5249	259	17	m)v)s+	m)v)s+	NOUN
ejpam-5249	259	18	v2an)µ	v2an)µ	NUM
ejpam-5249	259	19	−	−	ADP
ejpam-5249	259	20	s2(vm+1))(−s+µ)mb2	s2(vm+1))(−s+µ)mb2	SYM
ejpam-5249	259	21	−µv	−µv	PROPN
ejpam-5249	259	22	(	(	PUNCT
ejpam-5249	259	23	m(van−	m(van−	NOUN
ejpam-5249	259	24	ls)µ2	ls)µ2	PROPN
ejpam-5249	259	25	−2	−2	NOUN
ejpam-5249	259	26	(	(	PUNCT
ejpam-5249	259	27	−	−	PROPN
ejpam-5249	259	28	lsm+an	lsm+an	PROPN
ejpam-5249	259	29	(	(	PUNCT
ejpam-5249	259	30	vm−	vm−	NUM
ejpam-5249	259	31	1	1	NUM
ejpam-5249	259	32	2	2	NUM
ejpam-5249	259	33	)	)	PUNCT
ejpam-5249	259	34	)	)	PUNCT
ejpam-5249	259	35	sµ	sµ	ADP
ejpam-5249	260	1	+	+	PROPN
ejpam-5249	260	2	(	(	PUNCT
ejpam-5249	260	3	−ls2	−ls2	NOUN
ejpam-5249	260	4	m	m	VERB
ejpam-5249	260	5	+	+	ADJ
ejpam-5249	260	6	an(vm−	an(vm−	NOUN
ejpam-5249	260	7	l)s+	l)s+	NOUN
ejpam-5249	260	8	vamw)s)b−	vamw)s)b−	NOUN
ejpam-5249	260	9	v2amµws(µ	v2amµws(µ	NUM
ejpam-5249	260	10	−	−	PROPN
ejpam-5249	260	11	s	s	NOUN
ejpam-5249	260	12	)	)	PUNCT
ejpam-5249	260	13	)	)	PUNCT
ejpam-5249	261	1	+	+	CCONJ
ejpam-5249	262	1	valnµbs(µ	valnµbs(µ	NOUN
ejpam-5249	262	2	−	−	PROPN
ejpam-5249	262	3	s	s	NOUN
ejpam-5249	262	4	)	)	PUNCT
ejpam-5249	262	5	b−	b−	PROPN
ejpam-5249	262	6	s	s	PART
ejpam-5249	262	7	+	+	NUM
ejpam-5249	262	8	v2amnµb(−s+µ)(µ	v2amnµb(−s+µ)(µ	PROPN
ejpam-5249	262	9	+	+	CCONJ
ejpam-5249	262	10	b−	b−	PROPN
ejpam-5249	262	11	s	s	PART
ejpam-5249	262	12	)	)	PUNCT
ejpam-5249	262	13	−µ	−µ	ADV
ejpam-5249	262	14	−	−	PROPN
ejpam-5249	262	15	s	s	PART
ejpam-5249	262	16	−	−	PROPN
ejpam-5249	262	17	vlmµbs(−s+µ)(µ	vlmµbs(−s+µ)(µ	NOUN
ejpam-5249	262	18	+	+	CCONJ
ejpam-5249	262	19	b−	b−	PROPN
ejpam-5249	262	20	s	s	PART
ejpam-5249	262	21	)	)	PUNCT
ejpam-5249	262	22	b−µ	b−µ	NOUN
ejpam-5249	262	23	)	)	PUNCT
ejpam-5249	262	24	)	)	PUNCT
ejpam-5249	262	25	)	)	PUNCT
ejpam-5249	263	1	ebt	ebt	PROPN
ejpam-5249	263	2	(	(	PUNCT
ejpam-5249	263	3	31	31	NUM
ejpam-5249	263	4	)	)	PUNCT
ejpam-5249	263	5	y	y	PROPN
ejpam-5249	263	6	(	(	PUNCT
ejpam-5249	263	7	t	t	PROPN
ejpam-5249	263	8	)	)	PUNCT
ejpam-5249	263	9	=	=	PUNCT
ejpam-5249	263	10	(	(	PUNCT
ejpam-5249	263	11	m+	m+	NUM
ejpam-5249	263	12	a	a	DET
ejpam-5249	263	13	lnet(µ+b−s	lnet(µ+b−s	NOUN
ejpam-5249	263	14	)	)	PUNCT
ejpam-5249	263	15	µ	µ	NOUN
ejpam-5249	263	16	+	+	ADP
ejpam-5249	263	17	b−	b−	PROPN
ejpam-5249	263	18	s	s	PART
ejpam-5249	263	19	−	−	PROPN
ejpam-5249	263	20	lna	lna	PROPN
ejpam-5249	263	21	µ	µ	PROPN
ejpam-5249	263	22	+	+	PROPN
ejpam-5249	263	23	b−	b−	PROPN
ejpam-5249	263	24	s	s	PART
ejpam-5249	263	25	)	)	PUNCT
ejpam-5249	263	26	e−µt	e−µt	PROPN
ejpam-5249	264	1	+	+	CCONJ
ejpam-5249	264	2	(	(	PUNCT
ejpam-5249	264	3	1	1	NUM
ejpam-5249	264	4	(	(	PUNCT
ejpam-5249	264	5	µ	µ	X
ejpam-5249	264	6	+	+	PROPN
ejpam-5249	264	7	b−	b−	PROPN
ejpam-5249	264	8	s)vµs	s)vµs	PROPN
ejpam-5249	264	9	(	(	PUNCT
ejpam-5249	264	10	lna	lna	PROPN
ejpam-5249	264	11	(	(	PUNCT
ejpam-5249	264	12	(	(	PUNCT
ejpam-5249	264	13	(	(	PUNCT
ejpam-5249	264	14	van−	van−	PROPN
ejpam-5249	264	15	ls)µ	ls)µ	ADJ
ejpam-5249	264	16	+	+	PROPN
ejpam-5249	264	17	mbs)e(µ+b−s)t	mbs)e(µ+b−s)t	NOUN
ejpam-5249	264	18	+	+	CCONJ
ejpam-5249	264	19	lµs(va+µ	lµs(va+µ	NOUN
ejpam-5249	264	20	+	+	PROPN
ejpam-5249	264	21	b−	b−	NOUN
ejpam-5249	264	22	s)e(µ+2b−s)t	s)e(µ+2b−s)t	VERB
ejpam-5249	264	23	µ	µ	ADP
ejpam-5249	264	24	+2b−	+2b−	ADP
ejpam-5249	264	25	s	s	PROPN
ejpam-5249	264	26	−	−	PROPN
ejpam-5249	264	27	s	s	PART
ejpam-5249	264	28	(	(	PUNCT
ejpam-5249	264	29	mb(µ	mb(µ	X
ejpam-5249	264	30	+	+	NOUN
ejpam-5249	264	31	b−	b−	PROPN
ejpam-5249	264	32	s)e(b−s)t	s)e(b−s)t	NOUN
ejpam-5249	264	33	b−	b−	PROPN
ejpam-5249	264	34	s	s	PART
ejpam-5249	264	35	+	+	PROPN
ejpam-5249	264	36	valµebt	valµebt	NOUN
ejpam-5249	264	37	b	b	NOUN
ejpam-5249	264	38	)	)	PUNCT
ejpam-5249	264	39	−	−	PROPN
ejpam-5249	264	40	vnµa(µ	vnµa(µ	NOUN
ejpam-5249	264	41	+	+	NOUN
ejpam-5249	264	42	b−	b−	PROPN
ejpam-5249	264	43	s)e(µ+2b−s)t	s)e(µ+2b−s)t	NOUN
ejpam-5249	264	44	µ	µ	X
ejpam-5249	264	45	+	+	ADJ
ejpam-5249	264	46	b−2s	b−2s	NOUN
ejpam-5249	264	47	)	)	PUNCT
ejpam-5249	264	48	)	)	PUNCT
ejpam-5249	265	1	b.	b.	PROPN
ejpam-5249	265	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	265	3	,	,	PUNCT
ejpam-5249	265	4	r.	r.	PROPN
ejpam-5249	265	5	senthamarai	senthamarai	PROPN
ejpam-5249	265	6	/	/	SYM
ejpam-5249	265	7	eur	eur	PROPN
ejpam-5249	265	8	.	.	PUNCT
ejpam-5249	266	1	j.	j.	PROPN
ejpam-5249	266	2	pure	pure	PROPN
ejpam-5249	266	3	appl	appl	PROPN
ejpam-5249	266	4	.	.	PROPN
ejpam-5249	266	5	math	math	PROPN
ejpam-5249	266	6	,	,	PUNCT
ejpam-5249	266	7	17	17	NUM
ejpam-5249	266	8	(	(	PUNCT
ejpam-5249	266	9	3	3	NUM
ejpam-5249	266	10	)	)	PUNCT
ejpam-5249	266	11	(	(	PUNCT
ejpam-5249	266	12	2024	2024	NUM
ejpam-5249	266	13	)	)	PUNCT
ejpam-5249	266	14	,	,	PUNCT
ejpam-5249	266	15	1908	1908	NUM
ejpam-5249	266	16	-	-	SYM
ejpam-5249	266	17	1936	1936	NUM
ejpam-5249	266	18	1920	1920	NUM
ejpam-5249	266	19	−	−	PROPN
ejpam-5249	266	20	lna	lna	PROPN
ejpam-5249	266	21	(	(	PUNCT
ejpam-5249	266	22	(	(	PUNCT
ejpam-5249	266	23	van−	van−	PROPN
ejpam-5249	266	24	ls)µ	ls)µ	PROPN
ejpam-5249	266	25	+	+	PROPN
ejpam-5249	266	26	mbs+	mbs+	PROPN
ejpam-5249	266	27	lµs(va+µ+b−s	lµs(va+µ+b−s	NOUN
ejpam-5249	266	28	)	)	PUNCT
ejpam-5249	267	1	µ+2b−s	µ+2b−s	ADP
ejpam-5249	267	2	−	−	PROPN
ejpam-5249	267	3	s	s	PART
ejpam-5249	267	4	(	(	PUNCT
ejpam-5249	267	5	mb(µ+b−s	mb(µ+b−s	NOUN
ejpam-5249	267	6	)	)	PUNCT
ejpam-5249	267	7	b−s	b−s	NOUN
ejpam-5249	267	8	+	+	CCONJ
ejpam-5249	267	9	valµ	valµ	PROPN
ejpam-5249	267	10	b	b	PROPN
ejpam-5249	267	11	)	)	PUNCT
ejpam-5249	267	12	−	−	PROPN
ejpam-5249	267	13	vnµa(µ+b−s	vnµa(µ+b−s	ADJ
ejpam-5249	267	14	)	)	PUNCT
ejpam-5249	267	15	µ+b−2s	µ+b−2s	PROPN
ejpam-5249	267	16	)	)	PUNCT
ejpam-5249	267	17	(	(	PUNCT
ejpam-5249	267	18	µ	µ	X
ejpam-5249	267	19	+	+	NOUN
ejpam-5249	267	20	b−	b−	PROPN
ejpam-5249	267	21	s)vµs	s)vµs	PROPN
ejpam-5249	267	22	)	)	PUNCT
ejpam-5249	267	23	e−µt	e−µt	PROPN
ejpam-5249	267	24	(	(	PUNCT
ejpam-5249	267	25	32	32	NUM
ejpam-5249	267	26	)	)	PUNCT
ejpam-5249	267	27	c(t)=	c(t)=	PROPN
ejpam-5249	267	28	(	(	PUNCT
ejpam-5249	267	29	n−	n−	PROPN
ejpam-5249	267	30	wme−t(µ−s	wme−t(µ−s	NOUN
ejpam-5249	267	31	)	)	PUNCT
ejpam-5249	267	32	µ	µ	PRON
ejpam-5249	267	33	−	−	PROPN
ejpam-5249	267	34	s	s	PART
ejpam-5249	267	35	+	+	NUM
ejpam-5249	267	36	wm	wm	PROPN
ejpam-5249	267	37	µ	µ	PRON
ejpam-5249	267	38	−	−	PROPN
ejpam-5249	267	39	s	s	PART
ejpam-5249	267	40	)	)	PUNCT
ejpam-5249	267	41	e−st	e−st	VERB
ejpam-5249	268	1	+	+	CCONJ
ejpam-5249	268	2	−q2	−q2	NOUN
ejpam-5249	268	3	m	m	PRON
ejpam-5249	268	4	(	(	PUNCT
ejpam-5249	268	5	−t	−t	NOUN
ejpam-5249	268	6	+	+	CCONJ
ejpam-5249	268	7	e−t(p−s	e−t(p−s	PROPN
ejpam-5249	268	8	)	)	PUNCT
ejpam-5249	268	9	p−s	p−s	NOUN
ejpam-5249	268	10	)	)	PUNCT
ejpam-5249	269	1	p−	p−	NOUN
ejpam-5249	269	2	s	s	NOUN
ejpam-5249	269	3	+	+	NUM
ejpam-5249	269	4	q2	q2	NOUN
ejpam-5249	269	5	m	m	PROPN
ejpam-5249	269	6	(	(	PUNCT
ejpam-5249	269	7	p−	p−	ADP
ejpam-5249	269	8	s)(s−	s)(s−	PROPN
ejpam-5249	269	9	p	p	X
ejpam-5249	269	10	)	)	PUNCT
ejpam-5249	269	11	e−st	e−st	PROPN
ejpam-5249	269	12	(	(	PUNCT
ejpam-5249	269	13	33	33	NUM
ejpam-5249	269	14	)	)	PUNCT
ejpam-5249	269	15	7.2	7.2	NUM
ejpam-5249	269	16	.	.	PUNCT
ejpam-5249	269	17	approximate	approximate	ADJ
ejpam-5249	269	18	analytical	analytical	ADJ
ejpam-5249	269	19	solution	solution	NOUN
ejpam-5249	269	20	of	of	ADP
ejpam-5249	269	21	dde	dde	PROPN
ejpam-5249	269	22	eqs.(5)−(8	eqs.(5)−(8	PROPN
ejpam-5249	269	23	)	)	PUNCT
ejpam-5249	269	24	using	use	VERB
ejpam-5249	269	25	homotopy	homotopy	NOUN
ejpam-5249	269	26	perturbation	perturbation	NOUN
ejpam-5249	269	27	method	method	NOUN
ejpam-5249	269	28	by	by	ADP
ejpam-5249	269	29	applying	apply	VERB
ejpam-5249	269	30	homotopy	homotopy	NOUN
ejpam-5249	269	31	perturbation	perturbation	NOUN
ejpam-5249	269	32	method	method	NOUN
ejpam-5249	269	33	[	[	X
ejpam-5249	269	34	27	27	NUM
ejpam-5249	269	35	]	]	PUNCT
ejpam-5249	269	36	,	,	PUNCT
ejpam-5249	269	37	we	we	PRON
ejpam-5249	269	38	are	be	AUX
ejpam-5249	269	39	able	able	ADJ
ejpam-5249	269	40	to	to	PART
ejpam-5249	269	41	derive	derive	VERB
ejpam-5249	269	42	the	the	DET
ejpam-5249	269	43	following	follow	VERB
ejpam-5249	269	44	analytical	analytical	ADJ
ejpam-5249	269	45	solutions	solution	NOUN
ejpam-5249	269	46	for	for	ADP
ejpam-5249	269	47	the	the	DET
ejpam-5249	269	48	delay	delay	NOUN
ejpam-5249	269	49	system	system	NOUN
ejpam-5249	269	50	of	of	ADP
ejpam-5249	269	51	eqs.(5)−(8	eqs.(5)−(8	PROPN
ejpam-5249	269	52	)	)	PUNCT
ejpam-5249	269	53	.	.	PUNCT
ejpam-5249	270	1	x(t	x(t	PROPN
ejpam-5249	270	2	)	)	PUNCT
ejpam-5249	270	3	=	=	PRON
ejpam-5249	271	1	(	(	PUNCT
ejpam-5249	271	2	l	l	NOUN
ejpam-5249	271	3	−	−	X
ejpam-5249	271	4	l(lebt	l(lebt	PROPN
ejpam-5249	271	5	−	−	PROPN
ejpam-5249	271	6	mbe−µt	mbe−µt	PROPN
ejpam-5249	271	7	µ	µ	X
ejpam-5249	271	8	−	−	PROPN
ejpam-5249	271	9	vane−µt	vane−µt	PROPN
ejpam-5249	271	10	s	s	PART
ejpam-5249	271	11	)	)	PUNCT
ejpam-5249	271	12	v	v	NOUN
ejpam-5249	271	13	+	+	X
ejpam-5249	271	14	l(l	l(l	NOUN
ejpam-5249	271	15	−	−	NOUN
ejpam-5249	271	16	mb	mb	ADP
ejpam-5249	271	17	µ	µ	PROPN
ejpam-5249	271	18	−	−	PROPN
ejpam-5249	271	19	van	van	PROPN
ejpam-5249	271	20	s	s	PART
ejpam-5249	271	21	)	)	PUNCT
ejpam-5249	271	22	v	v	NOUN
ejpam-5249	271	23	)	)	PUNCT
ejpam-5249	271	24	ebt	ebt	PROPN
ejpam-5249	271	25	+	+	CCONJ
ejpam-5249	271	26	(	(	PUNCT
ejpam-5249	271	27	1	1	NUM
ejpam-5249	271	28	µsv2(µ	µsv2(µ	PART
ejpam-5249	271	29	+	+	NOUN
ejpam-5249	271	30	b−	b−	NOUN
ejpam-5249	271	31	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	271	32	)	)	PUNCT
ejpam-5249	271	33	(	(	PUNCT
ejpam-5249	271	34	l	l	NOUN
ejpam-5249	271	35	(	(	PUNCT
ejpam-5249	271	36	tavnµ	tavnµ	NOUN
ejpam-5249	271	37	3b+tavnµ	3b+tavnµ	NUM
ejpam-5249	271	38	2b2+tavnµbs2	2b2+tavnµbs2	NUM
ejpam-5249	272	1	+	+	CCONJ
ejpam-5249	272	2	tmµ	tmµ	ADP
ejpam-5249	272	3	2b2s+	2b2s+	NUM
ejpam-5249	272	4	tmb2s3	tmb2s3	NOUN
ejpam-5249	272	5	+	+	CCONJ
ejpam-5249	272	6	avnµs(−s+µ)e(−b+s)τ−t(µ+b	avnµs(−s+µ)e(−b+s)τ−t(µ+b	PROPN
ejpam-5249	272	7	)	)	PUNCT
ejpam-5249	272	8	−µ	−µ	NOUN
ejpam-5249	272	9	−b	−b	ADP
ejpam-5249	272	10	+	+	ADJ
ejpam-5249	272	11	(	(	PUNCT
ejpam-5249	272	12	−µ	−µ	ADV
ejpam-5249	272	13	−b	−b	NOUN
ejpam-5249	272	14	+	+	CCONJ
ejpam-5249	272	15	s	s	X
ejpam-5249	272	16	)	)	PUNCT
ejpam-5249	272	17	(	(	PUNCT
ejpam-5249	272	18	−	−	CCONJ
ejpam-5249	272	19	m(e−µt	m(e−µt	PROPN
ejpam-5249	272	20	µb2s+	µb2s+	X
ejpam-5249	272	21	vb2s2(−e−µt	vb2s2(−e−µt	CCONJ
ejpam-5249	272	22	−	−	NOUN
ejpam-5249	272	23	e−µt)+	e−µt)+	ADJ
ejpam-5249	272	24	e−µtav2nµ2b+	e−µtav2nµ2b+	ADP
ejpam-5249	272	25	e−µtvmµb2s	e−µtvmµb2s	PROPN
ejpam-5249	272	26	−	−	PROPN
ejpam-5249	272	27	e−µts2b2	e−µts2b2	NOUN
ejpam-5249	272	28	−	−	PROPN
ejpam-5249	272	29	e−µtvmb2(s2	e−µtvmb2(s2	PROPN
ejpam-5249	272	30	−	−	PROPN
ejpam-5249	273	1	vµb2s(−e−µt	vµb2s(−e−µt	NOUN
ejpam-5249	274	1	−	−	PROPN
ejpam-5249	275	1	e−µt)−	e−µt)−	PROPN
ejpam-5249	275	2	e−µtav2nµbs	e−µtav2nµbs	PROPN
ejpam-5249	275	3	µ	µ	NOUN
ejpam-5249	275	4	)	)	PUNCT
ejpam-5249	275	5	−b2s(−s+µ	−b2s(−s+µ	NOUN
ejpam-5249	275	6	)	)	PUNCT
ejpam-5249	275	7	(	(	PUNCT
ejpam-5249	275	8	µt2	µt2	NOUN
ejpam-5249	275	9	2	2	NUM
ejpam-5249	275	10	−	−	PROPN
ejpam-5249	275	11	vm2e−2µt	vm2e−2µt	PROPN
ejpam-5249	275	12	2µ	2µ	NUM
ejpam-5249	275	13	)	)	PUNCT
ejpam-5249	276	1	+	+	CCONJ
ejpam-5249	276	2	vµa(−nbµ	vµa(−nbµ	NUM
ejpam-5249	276	3	+	+	NUM
ejpam-5249	276	4	s(vmw+nb))e−st	s(vmw+nb))e−st	ADJ
ejpam-5249	276	5	s	s	PART
ejpam-5249	276	6	−	−	PROPN
ejpam-5249	276	7	av2mnµb(−s+µ)e−t(µ+s	av2mnµb(−s+µ)e−t(µ+	NOUN
ejpam-5249	276	8	)	)	PUNCT
ejpam-5249	276	9	−µ	−µ	NOUN
ejpam-5249	276	10	−	−	PROPN
ejpam-5249	276	11	s	s	PART
ejpam-5249	276	12	)	)	PUNCT
ejpam-5249	276	13	−	−	NOUN
ejpam-5249	276	14	tmb3s2	tmb3s2	NOUN
ejpam-5249	276	15	−2tmµb2s2	−2tmµb2s2	PROPN
ejpam-5249	276	16	−	−	PROPN
ejpam-5249	277	1	tavnµb2s	tavnµb2s	PRON
ejpam-5249	277	2	−2tavnµ	−2tavnµ	NOUN
ejpam-5249	277	3	2bs−	2bs−	NUM
ejpam-5249	277	4	avlnµbs(−s+µ)e(t−τ)(b−s	avlnµbs(−s+µ)e(t−τ)(b−	NOUN
ejpam-5249	277	5	)	)	PUNCT
ejpam-5249	277	6	b−	b−	PROPN
ejpam-5249	277	7	s	s	PART
ejpam-5249	277	8	)	)	PUNCT
ejpam-5249	277	9	)	)	PUNCT
ejpam-5249	278	1	−	−	ADP
ejpam-5249	278	2	1	1	NUM
ejpam-5249	278	3	µsv2(µ	µsv2(µ	X
ejpam-5249	278	4	+	+	NOUN
ejpam-5249	278	5	b−	b−	NOUN
ejpam-5249	278	6	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	278	7	)	)	PUNCT
ejpam-5249	278	8	(	(	PUNCT
ejpam-5249	278	9	l	l	X
ejpam-5249	278	10	(	(	PUNCT
ejpam-5249	278	11	avnµs(−s+µ)e(−b+s)τ	avnµs(−s+µ)e(−b+s)τ	PROPN
ejpam-5249	278	12	−µ	−µ	ADJ
ejpam-5249	278	13	−	−	ADP
ejpam-5249	278	14	s	s	VERB
ejpam-5249	279	1	+	+	ADJ
ejpam-5249	279	2	(	(	PUNCT
ejpam-5249	279	3	−µ	−µ	ADJ
ejpam-5249	279	4	−b+	−b+	NOUN
ejpam-5249	279	5	s	s	PART
ejpam-5249	279	6	)	)	PUNCT
ejpam-5249	279	7	(	(	PUNCT
ejpam-5249	279	8	−	−	PROPN
ejpam-5249	279	9	m(av2nµ2b−av2nµbs+av2µws+	m(av2nµ2b−av2nµbs+av2µws+	NUM
ejpam-5249	279	10	vmµb2s	vmµb2s	PROPN
ejpam-5249	279	11	−	−	PROPN
ejpam-5249	279	12	vmb2s2	vmb2s2	NOUN
ejpam-5249	279	13	+	+	CCONJ
ejpam-5249	279	14	vµb2s−	vµb2s−	NOUN
ejpam-5249	279	15	vb2s2	vb2s2	NOUN
ejpam-5249	280	1	+	+	PROPN
ejpam-5249	280	2	µb2s−b2s2	µb2s−b2s2	NOUN
ejpam-5249	280	3	)	)	PUNCT
ejpam-5249	280	4	µ	µ	PROPN
ejpam-5249	280	5	+	+	NUM
ejpam-5249	280	6	b2s(−s+µ)vm2	b2s(−s+µ)vm2	NUM
ejpam-5249	280	7	2µ	2µ	NUM
ejpam-5249	281	1	+	+	CCONJ
ejpam-5249	281	2	vµa(−nbµ	vµa(−nbµ	NUM
ejpam-5249	281	3	+	+	NUM
ejpam-5249	281	4	s(vmw+nb	s(vmw+nb	NOUN
ejpam-5249	281	5	)	)	PUNCT
ejpam-5249	281	6	)	)	PUNCT
ejpam-5249	281	7	s	s	VERB
ejpam-5249	282	1	−	−	NOUN
ejpam-5249	282	2	av2mnµb(−s+µ	av2mnµb(−s+µ	PROPN
ejpam-5249	282	3	)	)	PUNCT
ejpam-5249	282	4	−µ	−µ	ADJ
ejpam-5249	283	1	−	−	PROPN
ejpam-5249	283	2	s	s	PART
ejpam-5249	283	3	)	)	PUNCT
ejpam-5249	283	4	−	−	PROPN
ejpam-5249	283	5	avlnµbs(−s+µ)e−τ(b−s	avlnµbs(−s+µ)e−τ(b−s	ADJ
ejpam-5249	283	6	)	)	PUNCT
ejpam-5249	283	7	b−	b−	PROPN
ejpam-5249	283	8	s	s	PART
ejpam-5249	283	9	)	)	PUNCT
ejpam-5249	283	10	)	)	PUNCT
ejpam-5249	283	11	)	)	PUNCT
ejpam-5249	284	1	(	(	PUNCT
ejpam-5249	284	2	34	34	X
ejpam-5249	284	3	)	)	PUNCT
ejpam-5249	284	4	b.	b.	PROPN
ejpam-5249	284	5	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	284	6	,	,	PUNCT
ejpam-5249	284	7	r.	r.	PROPN
ejpam-5249	284	8	senthamarai	senthamarai	PROPN
ejpam-5249	284	9	/	/	SYM
ejpam-5249	284	10	eur	eur	PROPN
ejpam-5249	284	11	.	.	PUNCT
ejpam-5249	285	1	j.	j.	PROPN
ejpam-5249	285	2	pure	pure	PROPN
ejpam-5249	285	3	appl	appl	PROPN
ejpam-5249	285	4	.	.	PROPN
ejpam-5249	285	5	math	math	PROPN
ejpam-5249	285	6	,	,	PUNCT
ejpam-5249	285	7	17	17	NUM
ejpam-5249	285	8	(	(	PUNCT
ejpam-5249	285	9	3	3	NUM
ejpam-5249	285	10	)	)	PUNCT
ejpam-5249	285	11	(	(	PUNCT
ejpam-5249	285	12	2024	2024	NUM
ejpam-5249	285	13	)	)	PUNCT
ejpam-5249	285	14	,	,	PUNCT
ejpam-5249	285	15	1908	1908	NUM
ejpam-5249	285	16	-	-	SYM
ejpam-5249	285	17	1936	1936	NUM
ejpam-5249	285	18	1921	1921	NUM
ejpam-5249	285	19	y	y	PROPN
ejpam-5249	285	20	(	(	PUNCT
ejpam-5249	285	21	t	t	PROPN
ejpam-5249	285	22	)	)	PUNCT
ejpam-5249	285	23	=	=	NOUN
ejpam-5249	285	24	me−µt	me−µt	X
ejpam-5249	285	25	+	+	CCONJ
ejpam-5249	285	26	(	(	PUNCT
ejpam-5249	285	27	a	a	DET
ejpam-5249	285	28	lnebt−bτ−st+sτ	lnebt−bτ−st+sτ	PROPN
ejpam-5249	285	29	µ	µ	PROPN
ejpam-5249	285	30	+	+	PROPN
ejpam-5249	285	31	b−	b−	PROPN
ejpam-5249	285	32	s	s	PART
ejpam-5249	285	33	−	−	PROPN
ejpam-5249	285	34	e−µta	e−µta	NOUN
ejpam-5249	285	35	lne−bτ+sτ	lne−bτ+sτ	PROPN
ejpam-5249	285	36	µ	µ	PROPN
ejpam-5249	285	37	+	+	PROPN
ejpam-5249	285	38	b−	b−	PROPN
ejpam-5249	285	39	s	s	PART
ejpam-5249	285	40	)	)	PUNCT
ejpam-5249	286	1	+	+	CCONJ
ejpam-5249	286	2	(	(	PUNCT
ejpam-5249	286	3	1	1	NUM
ejpam-5249	286	4	(	(	PUNCT
ejpam-5249	286	5	µ	µ	X
ejpam-5249	286	6	+	+	NOUN
ejpam-5249	286	7	b−	b−	PROPN
ejpam-5249	286	8	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	286	9	(	(	PUNCT
ejpam-5249	286	10	al	al	PROPN
ejpam-5249	286	11	(	(	PUNCT
ejpam-5249	286	12	(	(	PUNCT
ejpam-5249	286	13	µ	µ	X
ejpam-5249	286	14	+	+	NOUN
ejpam-5249	286	15	b−	b−	NOUN
ejpam-5249	286	16	s	s	PART
ejpam-5249	286	17	)	)	PUNCT
ejpam-5249	286	18	(	(	PUNCT
ejpam-5249	286	19	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	PROPN
ejpam-5249	286	20	µ	µ	PROPN
ejpam-5249	286	21	+	+	PROPN
ejpam-5249	286	22	b−2s	b−2s	NOUN
ejpam-5249	286	23	+	+	X
ejpam-5249	286	24	mnbs(−s+µ)e(µ+s)τ+t(b−s	mnbs(−s+µ)e(µ+s)τ+t(b−s	X
ejpam-5249	286	25	)	)	PUNCT
ejpam-5249	286	26	b−	b−	PROPN
ejpam-5249	286	27	s	s	PART
ejpam-5249	286	28	−	−	PROPN
ejpam-5249	286	29	n((avn−	n((avn−	PROPN
ejpam-5249	286	30	ls)µ	ls)µ	PROPN
ejpam-5249	286	31	+	+	PROPN
ejpam-5249	286	32	mbs)(−s+µ)e(µ+b−s)t+sτ	mbs)(−s+µ)e(µ+b−s)t+sτ	PROPN
ejpam-5249	286	33	µ	µ	X
ejpam-5249	286	34	+	+	PROPN
ejpam-5249	286	35	b−	b−	PROPN
ejpam-5249	286	36	s	s	PART
ejpam-5249	286	37	−	−	PROPN
ejpam-5249	286	38	lnµs(−s+µ)e(µ+2b−s)t+sτ	lnµs(−s+µ)e(µ+2b−s)t+sτ	NOUN
ejpam-5249	286	39	µ	µ	PRON
ejpam-5249	286	40	+2b−	+2b−	ADP
ejpam-5249	286	41	s	s	PROPN
ejpam-5249	286	42	−	−	PROPN
ejpam-5249	286	43	vmµwse(µ−b)τ+bt	vmµwse(µ−b)τ+bt	PROPN
ejpam-5249	286	44	b	b	PROPN
ejpam-5249	286	45	)	)	PUNCT
ejpam-5249	287	1	+	+	CCONJ
ejpam-5249	287	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	287	3	+	+	NOUN
ejpam-5249	287	4	(	(	PUNCT
ejpam-5249	287	5	mw+	mw+	ADJ
ejpam-5249	287	6	sn)µ	sn)µ	PROPN
ejpam-5249	287	7	+	+	NOUN
ejpam-5249	287	8	mw(b−	mw(b−	NOUN
ejpam-5249	287	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	287	10	)	)	PUNCT
ejpam-5249	287	11	µ	µ	NOUN
ejpam-5249	287	12	+	+	ADP
ejpam-5249	287	13	b−	b−	PROPN
ejpam-5249	287	14	s	s	PART
ejpam-5249	287	15	+	+	PROPN
ejpam-5249	287	16	te−τ(b−s)vnµ	te−τ(b−s)vnµ	PROPN
ejpam-5249	287	17	3s−	3s−	NUM
ejpam-5249	287	18	te−τ(b−s)vnµ	te−τ(b−s)vnµ	NOUN
ejpam-5249	287	19	2s2	2s2	NUM
ejpam-5249	287	20	)	)	PUNCT
ejpam-5249	287	21	)	)	PUNCT
ejpam-5249	288	1	−	−	PROPN
ejpam-5249	288	2	(	(	PUNCT
ejpam-5249	288	3	1	1	NUM
ejpam-5249	288	4	(	(	PUNCT
ejpam-5249	288	5	µ	µ	X
ejpam-5249	288	6	+	+	NOUN
ejpam-5249	288	7	b−	b−	PROPN
ejpam-5249	288	8	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	288	9	(	(	PUNCT
ejpam-5249	288	10	al	al	PROPN
ejpam-5249	288	11	(	(	PUNCT
ejpam-5249	288	12	(	(	PUNCT
ejpam-5249	288	13	µ	µ	X
ejpam-5249	288	14	+	+	NOUN
ejpam-5249	288	15	b−	b−	NOUN
ejpam-5249	288	16	s	s	PART
ejpam-5249	288	17	)	)	PUNCT
ejpam-5249	288	18	(	(	PUNCT
ejpam-5249	288	19	avn2µ(−s+µ)e2sτ	avn2µ(−s+µ)e2sτ	PROPN
ejpam-5249	288	20	µ	µ	X
ejpam-5249	288	21	+	+	NOUN
ejpam-5249	288	22	b−2s	b−2s	NOUN
ejpam-5249	288	23	+	+	CCONJ
ejpam-5249	288	24	mnbs(−s+µ)e(µ+s)τ	mnbs(−s+µ)e(µ+s)τ	NOUN
ejpam-5249	288	25	b−	b−	PROPN
ejpam-5249	288	26	s	s	PART
ejpam-5249	288	27	−	−	PROPN
ejpam-5249	288	28	n((avn−	n((avn−	PROPN
ejpam-5249	288	29	ls)µ	ls)µ	PROPN
ejpam-5249	289	1	+	+	PROPN
ejpam-5249	289	2	mbs)(−s+µ)esτ	mbs)(−s+µ)esτ	PROPN
ejpam-5249	289	3	µ	µ	X
ejpam-5249	289	4	+	+	ADP
ejpam-5249	289	5	b−	b−	PROPN
ejpam-5249	289	6	s	s	PART
ejpam-5249	289	7	−	−	PROPN
ejpam-5249	289	8	lnµs(−s+µ)esτ	lnµs(−s+µ)esτ	NOUN
ejpam-5249	289	9	µ	µ	X
ejpam-5249	289	10	+2b−	+2b−	ADP
ejpam-5249	289	11	s	s	NOUN
ejpam-5249	289	12	−	−	PROPN
ejpam-5249	289	13	vmµwse(µ−b)τ	vmµwse(µ−b)τ	NOUN
ejpam-5249	289	14	b	b	NOUN
ejpam-5249	289	15	)	)	PUNCT
ejpam-5249	290	1	+	+	CCONJ
ejpam-5249	290	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	290	3	+	+	NOUN
ejpam-5249	290	4	(	(	PUNCT
ejpam-5249	290	5	mw+	mw+	ADJ
ejpam-5249	290	6	sn)µ	sn)µ	PROPN
ejpam-5249	290	7	+	+	NOUN
ejpam-5249	290	8	mw(b−	mw(b−	NOUN
ejpam-5249	290	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	290	10	)	)	PUNCT
ejpam-5249	290	11	µ	µ	NOUN
ejpam-5249	290	12	+	+	PROPN
ejpam-5249	290	13	b−	b−	PROPN
ejpam-5249	290	14	s	s	PART
ejpam-5249	290	15	)	)	PUNCT
ejpam-5249	290	16	)	)	PUNCT
ejpam-5249	290	17	)	)	PUNCT
ejpam-5249	291	1	e−µt	e−µt	PROPN
ejpam-5249	291	2	(	(	PUNCT
ejpam-5249	291	3	35	35	NUM
ejpam-5249	291	4	)	)	PUNCT
ejpam-5249	291	5	c(t	c(t	PROPN
ejpam-5249	291	6	)	)	PUNCT
ejpam-5249	291	7	=	=	PRON
ejpam-5249	291	8	(	(	PUNCT
ejpam-5249	291	9	n+	n+	X
ejpam-5249	291	10	−wme−t(−s+µ	−wme−t(−s+µ	VERB
ejpam-5249	291	11	)	)	PUNCT
ejpam-5249	291	12	−s+µ	−s+µ	NOUN
ejpam-5249	291	13	+	+	CCONJ
ejpam-5249	291	14	wm	wm	PROPN
ejpam-5249	291	15	−s+µ	−s+µ	NOUN
ejpam-5249	291	16	)	)	PUNCT
ejpam-5249	291	17	e−st	e−st	VERB
ejpam-5249	292	1	+	+	CCONJ
ejpam-5249	292	2	a	a	VERB
ejpam-5249	292	3	ln	ln	X
ejpam-5249	292	4	(	(	PUNCT
ejpam-5249	292	5	webt−bτ+sτ	webt−bτ+sτ	PROPN
ejpam-5249	292	6	b	b	PROPN
ejpam-5249	292	7	)	)	PUNCT
ejpam-5249	292	8	−	−	PROPN
ejpam-5249	292	9	(	(	PUNCT
ejpam-5249	292	10	e−µt−bτ+st+sτ	e−µt−bτ+st+sτ	NOUN
ejpam-5249	292	11	−µ+s	−µ+	NOUN
ejpam-5249	292	12	)	)	PUNCT
ejpam-5249	292	13	µ	µ	X
ejpam-5249	292	14	+	+	ADP
ejpam-5249	292	15	b−	b−	PROPN
ejpam-5249	292	16	s	s	PART
ejpam-5249	292	17	−	−	PROPN
ejpam-5249	292	18	a	a	DET
ejpam-5249	292	19	ln	ln	NOUN
ejpam-5249	292	20	(	(	PUNCT
ejpam-5249	292	21	we−bτ+sτ	we−bτ+sτ	PROPN
ejpam-5249	292	22	b	b	PROPN
ejpam-5249	292	23	)	)	PUNCT
ejpam-5249	292	24	−	−	PROPN
ejpam-5249	292	25	(	(	PUNCT
ejpam-5249	292	26	e−bτ+sτ	e−bτ+sτ	X
ejpam-5249	292	27	−µ+s	−µ+	NOUN
ejpam-5249	292	28	)	)	PUNCT
ejpam-5249	292	29	µ	µ	X
ejpam-5249	292	30	+	+	ADP
ejpam-5249	292	31	b−	b−	PROPN
ejpam-5249	292	32	s	s	PART
ejpam-5249	292	33	e−st	e−st	PROPN
ejpam-5249	292	34	(	(	PUNCT
ejpam-5249	292	35	36	36	NUM
ejpam-5249	292	36	)	)	PUNCT
ejpam-5249	292	37	8	8	NUM
ejpam-5249	292	38	.	.	PUNCT
ejpam-5249	293	1	numerical	numerical	ADJ
ejpam-5249	293	2	example	example	NOUN
ejpam-5249	293	3	for	for	ADP
ejpam-5249	293	4	the	the	DET
ejpam-5249	293	5	study	study	NOUN
ejpam-5249	293	6	of	of	ADP
ejpam-5249	293	7	our	our	PRON
ejpam-5249	293	8	mathematical	mathematical	ADJ
ejpam-5249	293	9	results	result	NOUN
ejpam-5249	293	10	,	,	PUNCT
ejpam-5249	293	11	we	we	PRON
ejpam-5249	293	12	numerically	numerically	ADV
ejpam-5249	293	13	extract	extract	VERB
ejpam-5249	293	14	the	the	DET
ejpam-5249	293	15	disease	disease	NOUN
ejpam-5249	293	16	caused	cause	VERB
ejpam-5249	293	17	by	by	ADP
ejpam-5249	293	18	the	the	DET
ejpam-5249	293	19	rugose	rugose	NOUN
ejpam-5249	293	20	spiraling	spiral	VERB
ejpam-5249	293	21	whitefly	whitefly	NOUN
ejpam-5249	293	22	on	on	ADP
ejpam-5249	293	23	coconut	coconut	NOUN
ejpam-5249	293	24	trees	tree	NOUN
ejpam-5249	293	25	.	.	PUNCT
ejpam-5249	294	1	the	the	DET
ejpam-5249	294	2	system	system	NOUN
ejpam-5249	294	3	of	of	ADP
ejpam-5249	294	4	both	both	DET
ejpam-5249	294	5	ordinary	ordinary	ADJ
ejpam-5249	294	6	differential	differential	ADJ
ejpam-5249	294	7	equations	equation	NOUN
ejpam-5249	294	8	(	(	PUNCT
ejpam-5249	294	9	ode	ode	PROPN
ejpam-5249	294	10	)	)	PUNCT
ejpam-5249	294	11	and	and	CCONJ
ejpam-5249	294	12	delay	delay	VERB
ejpam-5249	294	13	differential	differential	ADJ
ejpam-5249	294	14	equations	equation	NOUN
ejpam-5249	294	15	(	(	PUNCT
ejpam-5249	294	16	dde	dde	PROPN
ejpam-5249	294	17	)	)	PUNCT
ejpam-5249	294	18	were	be	AUX
ejpam-5249	294	19	numerically	numerically	ADV
ejpam-5249	294	20	solved	solve	VERB
ejpam-5249	294	21	using	use	VERB
ejpam-5249	294	22	matlab	matlab	PROPN
ejpam-5249	294	23	software	software	NOUN
ejpam-5249	294	24	for	for	ADP
ejpam-5249	294	25	a	a	DET
ejpam-5249	294	26	range	range	NOUN
ejpam-5249	294	27	of	of	ADP
ejpam-5249	294	28	parameter	parameter	NOUN
ejpam-5249	294	29	values	value	NOUN
ejpam-5249	294	30	in	in	ADP
ejpam-5249	294	31	order	order	NOUN
ejpam-5249	294	32	to	to	PART
ejpam-5249	294	33	test	test	VERB
ejpam-5249	294	34	the	the	DET
ejpam-5249	294	35	accuracy	accuracy	NOUN
ejpam-5249	294	36	of	of	ADP
ejpam-5249	294	37	the	the	DET
ejpam-5249	294	38	homotopy	homotopy	NOUN
ejpam-5249	294	39	perturbation	perturbation	NOUN
ejpam-5249	294	40	method	method	NOUN
ejpam-5249	294	41	results	result	NOUN
ejpam-5249	294	42	under	under	ADP
ejpam-5249	294	43	specified	specified	ADJ
ejpam-5249	294	44	sets	set	NOUN
ejpam-5249	294	45	of	of	ADP
ejpam-5249	294	46	parameters	parameter	NOUN
ejpam-5249	294	47	.	.	PUNCT
ejpam-5249	295	1	addtionally	addtionally	ADV
ejpam-5249	295	2	,	,	PUNCT
ejpam-5249	295	3	we	we	PRON
ejpam-5249	295	4	contrasted	contrast	VERB
ejpam-5249	295	5	the	the	DET
ejpam-5249	295	6	numerical	numerical	ADJ
ejpam-5249	295	7	and	and	CCONJ
ejpam-5249	295	8	analytical	analytical	ADJ
ejpam-5249	295	9	results	result	NOUN
ejpam-5249	295	10	.	.	PUNCT
ejpam-5249	296	1	we	we	PRON
ejpam-5249	296	2	have	have	AUX
ejpam-5249	296	3	seen	see	VERB
ejpam-5249	296	4	that	that	SCONJ
ejpam-5249	296	5	there	there	PRON
ejpam-5249	296	6	is	be	VERB
ejpam-5249	296	7	an	an	DET
ejpam-5249	296	8	effective	effective	ADJ
ejpam-5249	296	9	level	level	NOUN
ejpam-5249	296	10	of	of	ADP
ejpam-5249	296	11	consensus	consensus	NOUN
ejpam-5249	296	12	for	for	ADP
ejpam-5249	296	13	all	all	DET
ejpam-5249	296	14	parameter	parameter	NOUN
ejpam-5249	296	15	values	value	NOUN
ejpam-5249	296	16	.	.	PUNCT
ejpam-5249	297	1	b.	b.	PROPN
ejpam-5249	297	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	297	3	,	,	PUNCT
ejpam-5249	297	4	r.	r.	PROPN
ejpam-5249	297	5	senthamarai	senthamarai	PROPN
ejpam-5249	297	6	/	/	SYM
ejpam-5249	297	7	eur	eur	PROPN
ejpam-5249	297	8	.	.	PUNCT
ejpam-5249	298	1	j.	j.	PROPN
ejpam-5249	298	2	pure	pure	PROPN
ejpam-5249	298	3	appl	appl	PROPN
ejpam-5249	298	4	.	.	PROPN
ejpam-5249	298	5	math	math	PROPN
ejpam-5249	298	6	,	,	PUNCT
ejpam-5249	298	7	17	17	NUM
ejpam-5249	298	8	(	(	PUNCT
ejpam-5249	298	9	3	3	NUM
ejpam-5249	298	10	)	)	PUNCT
ejpam-5249	298	11	(	(	PUNCT
ejpam-5249	298	12	2024	2024	NUM
ejpam-5249	298	13	)	)	PUNCT
ejpam-5249	298	14	,	,	PUNCT
ejpam-5249	298	15	1908	1908	NUM
ejpam-5249	298	16	-	-	SYM
ejpam-5249	298	17	1936	1936	NUM
ejpam-5249	298	18	1922	1922	NUM
ejpam-5249	298	19	table	table	NOUN
ejpam-5249	298	20	1	1	NUM
ejpam-5249	298	21	:	:	PUNCT
ejpam-5249	298	22	the	the	DET
ejpam-5249	298	23	parameters	parameter	NOUN
ejpam-5249	298	24	and	and	CCONJ
ejpam-5249	298	25	their	their	PRON
ejpam-5249	298	26	values	value	NOUN
ejpam-5249	298	27	are	be	AUX
ejpam-5249	298	28	given	give	VERB
ejpam-5249	298	29	in	in	ADP
ejpam-5249	298	30	the	the	DET
ejpam-5249	298	31	following	follow	VERB
ejpam-5249	298	32	table	table	NOUN
ejpam-5249	298	33	[	[	X
ejpam-5249	298	34	25	25	NUM
ejpam-5249	298	35	]	]	PUNCT
ejpam-5249	298	36	.	.	PUNCT
ejpam-5249	299	1	symbol	symbol	NOUN
ejpam-5249	299	2	meaning	mean	VERB
ejpam-5249	299	3	values	value	NOUN
ejpam-5249	299	4	taken	take	VERB
ejpam-5249	299	5	for	for	ADP
ejpam-5249	299	6	the	the	DET
ejpam-5249	299	7	analysis	analysis	NOUN
ejpam-5249	299	8	range	range	NOUN
ejpam-5249	299	9	unit	unit	NOUN
ejpam-5249	299	10	v	v	ADP
ejpam-5249	299	11	tree	tree	NOUN
ejpam-5249	299	12	density	density	NOUN
ejpam-5249	299	13	0.0138	0.0138	NUM
ejpam-5249	299	14	0.0138	0.0138	NUM
ejpam-5249	299	15	0.0178	0.0178	NUM
ejpam-5249	299	16	m−1	m−1	PROPN
ejpam-5249	299	17	s	s	PART
ejpam-5249	299	18	death	death	NOUN
ejpam-5249	299	19	rate	rate	NOUN
ejpam-5249	299	20	for	for	ADP
ejpam-5249	299	21	rsws	rsws	NOUN
ejpam-5249	299	22	0.06	0.06	NUM
ejpam-5249	299	23	0	0	NUM
ejpam-5249	299	24	0.01	0.01	NUM
ejpam-5249	299	25	day−1	day−1	PROPN
ejpam-5249	299	26	b	b	NOUN
ejpam-5249	299	27	replanting	replanting	NOUN
ejpam-5249	299	28	rate	rate	NOUN
ejpam-5249	299	29	0.0005	0.0005	NOUN
ejpam-5249	299	30	0	0	NUM
ejpam-5249	300	1	0.008	0.008	NUM
ejpam-5249	300	2	day−1	day−1	PROPN
ejpam-5249	300	3	a	a	DET
ejpam-5249	300	4	contact	contact	NOUN
ejpam-5249	300	5	rate	rate	NOUN
ejpam-5249	300	6	0.0002	0.0002	NUM
ejpam-5249	300	7	0	0	NUM
ejpam-5249	300	8	0.002	0.002	NUM
ejpam-5249	300	9	pest−1day−1	pest−1day−1	NOUN
ejpam-5249	300	10	w	w	NOUN
ejpam-5249	300	11	whitefly	whitefly	NOUN
ejpam-5249	300	12	birth	birth	NOUN
ejpam-5249	300	13	rate	rate	NOUN
ejpam-5249	300	14	0.2	0.2	NUM
ejpam-5249	300	15	0.1	0.1	NUM
ejpam-5249	300	16	-	-	SYM
ejpam-5249	300	17	0.3	0.3	NUM
ejpam-5249	300	18	day−1	day−1	PROPN
ejpam-5249	300	19	µ	µ	PRON
ejpam-5249	300	20	mortality	mortality	NOUN
ejpam-5249	300	21	rate	rate	NOUN
ejpam-5249	300	22	for	for	ADP
ejpam-5249	300	23	trees	tree	NOUN
ejpam-5249	300	24	0.0001	0.0001	NUM
ejpam-5249	300	25	0	0	NUM
ejpam-5249	300	26	0.008	0.008	NUM
ejpam-5249	300	27	day−1	day−1	PROPN
ejpam-5249	300	28	8.1	8.1	NUM
ejpam-5249	300	29	.	.	PUNCT
ejpam-5249	301	1	numerical	numerical	ADJ
ejpam-5249	301	2	results	result	NOUN
ejpam-5249	301	3	and	and	CCONJ
ejpam-5249	301	4	discussion	discussion	NOUN
ejpam-5249	301	5	the	the	DET
ejpam-5249	301	6	eqs.(31	eqs.(31	PROPN
ejpam-5249	301	7	)	)	PUNCT
ejpam-5249	301	8	−	−	PROPN
ejpam-5249	301	9	(	(	PUNCT
ejpam-5249	301	10	33	33	NUM
ejpam-5249	301	11	)	)	PUNCT
ejpam-5249	301	12	denote	denote	VERB
ejpam-5249	301	13	the	the	DET
ejpam-5249	301	14	approximate	approximate	ADJ
ejpam-5249	301	15	analytical	analytical	ADJ
ejpam-5249	301	16	expressions	expression	NOUN
ejpam-5249	301	17	for	for	ADP
ejpam-5249	301	18	the	the	DET
ejpam-5249	301	19	non	non	ADJ
ejpam-5249	301	20	linear	linear	PROPN
ejpam-5249	301	21	differential	differential	ADJ
ejpam-5249	301	22	equations	equation	NOUN
ejpam-5249	301	23	by	by	ADP
ejpam-5249	301	24	homotopy	homotopy	NOUN
ejpam-5249	301	25	perturbation	perturbation	NOUN
ejpam-5249	301	26	method	method	NOUN
ejpam-5249	301	27	.	.	PUNCT
ejpam-5249	302	1	and	and	CCONJ
ejpam-5249	302	2	eqs.(34	eqs.(34	PROPN
ejpam-5249	302	3	)	)	PUNCT
ejpam-5249	302	4	−	−	PROPN
ejpam-5249	302	5	(	(	PUNCT
ejpam-5249	302	6	36	36	NUM
ejpam-5249	302	7	)	)	PUNCT
ejpam-5249	302	8	represent	represent	VERB
ejpam-5249	302	9	the	the	DET
ejpam-5249	302	10	approximate	approximate	ADJ
ejpam-5249	302	11	analytical	analytical	ADJ
ejpam-5249	302	12	expressions	expression	NOUN
ejpam-5249	302	13	for	for	ADP
ejpam-5249	302	14	the	the	DET
ejpam-5249	302	15	delay	delay	NOUN
ejpam-5249	302	16	differential	differential	NOUN
ejpam-5249	302	17	equations	equation	NOUN
ejpam-5249	302	18	by	by	ADP
ejpam-5249	302	19	homotopy	homotopy	NOUN
ejpam-5249	302	20	perturbation	perturbation	NOUN
ejpam-5249	302	21	method	method	NOUN
ejpam-5249	302	22	.	.	PUNCT
ejpam-5249	303	1	using	use	VERB
ejpam-5249	303	2	matlab	matlab	PROPN
ejpam-5249	303	3	coding	coding	NOUN
ejpam-5249	303	4	,	,	PUNCT
ejpam-5249	303	5	we	we	PRON
ejpam-5249	303	6	conducted	conduct	VERB
ejpam-5249	303	7	a	a	DET
ejpam-5249	303	8	comparative	comparative	ADJ
ejpam-5249	303	9	analysis	analysis	NOUN
ejpam-5249	303	10	between	between	ADP
ejpam-5249	303	11	the	the	DET
ejpam-5249	303	12	numerical	numerical	PROPN
ejpam-5249	303	13	simulation	simulation	NOUN
ejpam-5249	303	14	and	and	CCONJ
ejpam-5249	303	15	our	our	PRON
ejpam-5249	303	16	approximate	approximate	ADJ
ejpam-5249	303	17	analytical	analytical	ADJ
ejpam-5249	303	18	results	result	NOUN
ejpam-5249	303	19	for	for	ADP
ejpam-5249	303	20	the	the	DET
ejpam-5249	303	21	proposed	propose	VERB
ejpam-5249	303	22	model	model	NOUN
ejpam-5249	303	23	.	.	PUNCT
ejpam-5249	304	1	the	the	DET
ejpam-5249	304	2	graph	graph	NOUN
ejpam-5249	304	3	displayed	display	VERB
ejpam-5249	304	4	in	in	ADP
ejpam-5249	304	5	figures	figure	NOUN
ejpam-5249	304	6	(	(	PUNCT
ejpam-5249	304	7	2a	2a	NUM
ejpam-5249	304	8	)	)	PUNCT
ejpam-5249	304	9	−	−	PROPN
ejpam-5249	304	10	(	(	PUNCT
ejpam-5249	304	11	5b	5b	NUM
ejpam-5249	304	12	)	)	PUNCT
ejpam-5249	304	13	represent	represent	VERB
ejpam-5249	304	14	the	the	DET
ejpam-5249	304	15	both	both	CCONJ
ejpam-5249	304	16	numerical	numerical	ADJ
ejpam-5249	304	17	and	and	CCONJ
ejpam-5249	304	18	approximate	approximate	ADJ
ejpam-5249	304	19	analytical	analytical	ADJ
ejpam-5249	304	20	results	result	NOUN
ejpam-5249	304	21	of	of	ADP
ejpam-5249	304	22	the	the	DET
ejpam-5249	304	23	system	system	NOUN
ejpam-5249	304	24	of	of	ADP
ejpam-5249	304	25	non	non	ADJ
ejpam-5249	304	26	-	-	ADJ
ejpam-5249	304	27	linear	linear	ADJ
ejpam-5249	304	28	ordinary	ordinary	ADJ
ejpam-5249	304	29	differential	differential	ADJ
ejpam-5249	304	30	equations	equation	NOUN
ejpam-5249	304	31	eqs.(1	eqs.(1	PROPN
ejpam-5249	304	32	)	)	PUNCT
ejpam-5249	304	33	−	−	PROPN
ejpam-5249	305	1	(	(	PUNCT
ejpam-5249	305	2	4	4	NUM
ejpam-5249	305	3	)	)	PUNCT
ejpam-5249	305	4	and	and	CCONJ
ejpam-5249	305	5	figures	figure	NOUN
ejpam-5249	305	6	(	(	PUNCT
ejpam-5249	305	7	6a	6a	NOUN
ejpam-5249	305	8	)	)	PUNCT
ejpam-5249	305	9	−	−	PROPN
ejpam-5249	305	10	(	(	PUNCT
ejpam-5249	305	11	8b	8b	NUM
ejpam-5249	305	12	)	)	PUNCT
ejpam-5249	305	13	for	for	ADP
ejpam-5249	305	14	a	a	DET
ejpam-5249	305	15	delay	delay	NOUN
ejpam-5249	305	16	differential	differential	NOUN
ejpam-5249	305	17	equations	equation	NOUN
ejpam-5249	305	18	eqs.(5)−(8	eqs.(5)−(8	PROPN
ejpam-5249	305	19	)	)	PUNCT
ejpam-5249	305	20	from	from	ADP
ejpam-5249	305	21	figure	figure	NOUN
ejpam-5249	305	22	(	(	PUNCT
ejpam-5249	305	23	2a	2a	NUM
ejpam-5249	305	24	)	)	PUNCT
ejpam-5249	305	25	,	,	PUNCT
ejpam-5249	305	26	it	it	PRON
ejpam-5249	305	27	is	be	AUX
ejpam-5249	305	28	evident	evident	ADJ
ejpam-5249	305	29	that	that	SCONJ
ejpam-5249	305	30	the	the	DET
ejpam-5249	305	31	whitefly	whitefly	ADJ
ejpam-5249	305	32	death	death	NOUN
ejpam-5249	305	33	rate	rate	NOUN
ejpam-5249	305	34	s	s	PART
ejpam-5249	305	35	increases	increase	NOUN
ejpam-5249	305	36	when	when	SCONJ
ejpam-5249	305	37	healthy	healthy	ADJ
ejpam-5249	305	38	tree	tree	NOUN
ejpam-5249	305	39	density	density	NOUN
ejpam-5249	305	40	varies	vary	VERB
ejpam-5249	305	41	from	from	ADP
ejpam-5249	305	42	0.006	0.006	NUM
ejpam-5249	305	43	to	to	ADP
ejpam-5249	305	44	0.01	0.01	NUM
ejpam-5249	305	45	.	.	PUNCT
ejpam-5249	306	1	from	from	ADP
ejpam-5249	306	2	figure	figure	NOUN
ejpam-5249	306	3	(	(	PUNCT
ejpam-5249	306	4	2b	2b	NUM
ejpam-5249	306	5	)	)	PUNCT
ejpam-5249	306	6	,	,	PUNCT
ejpam-5249	306	7	the	the	DET
ejpam-5249	306	8	contact	contact	NOUN
ejpam-5249	306	9	rate	rate	NOUN
ejpam-5249	306	10	a	a	DET
ejpam-5249	306	11	decreases	decrease	NOUN
ejpam-5249	306	12	when	when	SCONJ
ejpam-5249	306	13	healthy	healthy	ADJ
ejpam-5249	306	14	tree	tree	NOUN
ejpam-5249	306	15	density	density	NOUN
ejpam-5249	306	16	varies	vary	VERB
ejpam-5249	306	17	from	from	ADP
ejpam-5249	306	18	0.00015	0.00015	NUM
ejpam-5249	306	19	to	to	ADP
ejpam-5249	306	20	0.002	0.002	NUM
ejpam-5249	306	21	.	.	PUNCT
ejpam-5249	307	1	from	from	ADP
ejpam-5249	307	2	figure	figure	NOUN
ejpam-5249	307	3	(	(	PUNCT
ejpam-5249	307	4	3a	3a	NUM
ejpam-5249	307	5	)	)	PUNCT
ejpam-5249	307	6	,	,	PUNCT
ejpam-5249	307	7	it	it	PRON
ejpam-5249	307	8	is	be	AUX
ejpam-5249	307	9	found	find	VERB
ejpam-5249	307	10	that	that	SCONJ
ejpam-5249	307	11	the	the	DET
ejpam-5249	307	12	contact	contact	NOUN
ejpam-5249	307	13	rate	rate	VERB
ejpam-5249	307	14	a	a	DET
ejpam-5249	307	15	increases	increase	NOUN
ejpam-5249	307	16	the	the	DET
ejpam-5249	307	17	infected	infected	ADJ
ejpam-5249	307	18	tree	tree	NOUN
ejpam-5249	307	19	density	density	NOUN
ejpam-5249	307	20	varies	vary	VERB
ejpam-5249	307	21	from	from	ADP
ejpam-5249	307	22	0.006	0.006	NUM
ejpam-5249	307	23	to	to	ADP
ejpam-5249	307	24	0.01	0.01	NUM
ejpam-5249	307	25	.	.	PUNCT
ejpam-5249	308	1	in	in	ADP
ejpam-5249	308	2	figure	figure	NOUN
ejpam-5249	308	3	(	(	PUNCT
ejpam-5249	308	4	3b	3b	NUM
ejpam-5249	308	5	)	)	PUNCT
ejpam-5249	308	6	,	,	PUNCT
ejpam-5249	308	7	the	the	DET
ejpam-5249	308	8	death	death	NOUN
ejpam-5249	308	9	rate	rate	NOUN
ejpam-5249	308	10	of	of	ADP
ejpam-5249	308	11	rsw	rsw	PROPN
ejpam-5249	308	12	s	s	PART
ejpam-5249	308	13	decreases	decrease	NOUN
ejpam-5249	308	14	when	when	SCONJ
ejpam-5249	308	15	infected	infected	ADJ
ejpam-5249	308	16	tree	tree	NOUN
ejpam-5249	308	17	density	density	NOUN
ejpam-5249	308	18	from	from	ADP
ejpam-5249	308	19	0.00015	0.00015	NUM
ejpam-5249	308	20	to	to	ADP
ejpam-5249	308	21	0.002	0.002	NUM
ejpam-5249	308	22	.	.	PUNCT
ejpam-5249	309	1	the	the	DET
ejpam-5249	309	2	mortality	mortality	NOUN
ejpam-5249	309	3	rate	rate	NOUN
ejpam-5249	309	4	for	for	ADP
ejpam-5249	309	5	trees	tree	NOUN
ejpam-5249	309	6	µ	µ	PRON
ejpam-5249	309	7	decreases	decrease	NOUN
ejpam-5249	309	8	the	the	DET
ejpam-5249	309	9	infected	infected	ADJ
ejpam-5249	309	10	tree	tree	NOUN
ejpam-5249	309	11	density	density	NOUN
ejpam-5249	309	12	varies	vary	VERB
ejpam-5249	309	13	from	from	ADP
ejpam-5249	309	14	this	this	DET
ejpam-5249	309	15	0.00001	0.00001	NUM
ejpam-5249	309	16	to	to	ADP
ejpam-5249	309	17	0.001	0.001	NUM
ejpam-5249	309	18	and	and	CCONJ
ejpam-5249	309	19	it	it	PRON
ejpam-5249	309	20	is	be	AUX
ejpam-5249	309	21	indicated	indicate	VERB
ejpam-5249	309	22	in	in	ADP
ejpam-5249	309	23	figure	figure	NOUN
ejpam-5249	309	24	(	(	PUNCT
ejpam-5249	309	25	4	4	NUM
ejpam-5249	309	26	)	)	PUNCT
ejpam-5249	309	27	.	.	PUNCT
ejpam-5249	310	1	from	from	ADP
ejpam-5249	310	2	figure	figure	NOUN
ejpam-5249	310	3	(	(	PUNCT
ejpam-5249	310	4	5a	5a	NUM
ejpam-5249	310	5	)	)	PUNCT
ejpam-5249	310	6	,	,	PUNCT
ejpam-5249	310	7	the	the	DET
ejpam-5249	310	8	death	death	NOUN
ejpam-5249	310	9	rate	rate	NOUN
ejpam-5249	310	10	for	for	ADP
ejpam-5249	310	11	rsws	rsws	NOUN
ejpam-5249	310	12	s	s	NOUN
ejpam-5249	310	13	decreases	decrease	VERB
ejpam-5249	310	14	the	the	DET
ejpam-5249	310	15	whitefly	whitefly	ADJ
ejpam-5249	310	16	density	density	NOUN
ejpam-5249	310	17	from	from	ADP
ejpam-5249	310	18	0.006	0.006	NUM
ejpam-5249	310	19	to	to	ADP
ejpam-5249	310	20	0.01	0.01	NUM
ejpam-5249	310	21	.	.	PUNCT
ejpam-5249	311	1	from	from	ADP
ejpam-5249	311	2	figure	figure	NOUN
ejpam-5249	311	3	(	(	PUNCT
ejpam-5249	311	4	5b	5b	NUM
ejpam-5249	311	5	)	)	PUNCT
ejpam-5249	311	6	,	,	PUNCT
ejpam-5249	311	7	the	the	DET
ejpam-5249	311	8	whitefly	whitefly	ADJ
ejpam-5249	311	9	birth	birth	NOUN
ejpam-5249	311	10	rate	rate	NOUN
ejpam-5249	311	11	w	w	NOUN
ejpam-5249	311	12	increases	increase	VERB
ejpam-5249	311	13	the	the	DET
ejpam-5249	311	14	whitefly	whitefly	ADJ
ejpam-5249	311	15	density	density	NOUN
ejpam-5249	311	16	from	from	ADP
ejpam-5249	311	17	0.1	0.1	NUM
ejpam-5249	311	18	to	to	ADP
ejpam-5249	311	19	2.5	2.5	NUM
ejpam-5249	311	20	.	.	PUNCT
ejpam-5249	312	1	in	in	ADP
ejpam-5249	312	2	figure	figure	NOUN
ejpam-5249	312	3	(	(	PUNCT
ejpam-5249	312	4	6a	6a	NOUN
ejpam-5249	312	5	)	)	PUNCT
ejpam-5249	312	6	,	,	PUNCT
ejpam-5249	312	7	when	when	SCONJ
ejpam-5249	312	8	the	the	DET
ejpam-5249	312	9	time	time	NOUN
ejpam-5249	312	10	delay	delay	NOUN
ejpam-5249	312	11	τ	τ	PROPN
ejpam-5249	312	12	=	=	SYM
ejpam-5249	312	13	0.5	0.5	NUM
ejpam-5249	312	14	and	and	CCONJ
ejpam-5249	312	15	the	the	DET
ejpam-5249	312	16	healthy	healthy	ADJ
ejpam-5249	312	17	tree	tree	NOUN
ejpam-5249	312	18	density	density	NOUN
ejpam-5249	312	19	varies	vary	VERB
ejpam-5249	312	20	from	from	ADP
ejpam-5249	312	21	0.00015	0.00015	NUM
ejpam-5249	312	22	to	to	ADP
ejpam-5249	312	23	0.002	0.002	NUM
ejpam-5249	312	24	,	,	PUNCT
ejpam-5249	312	25	the	the	DET
ejpam-5249	312	26	contact	contact	NOUN
ejpam-5249	312	27	rate	rate	NOUN
ejpam-5249	312	28	a	a	DET
ejpam-5249	312	29	decreases	decrease	NOUN
ejpam-5249	312	30	whereas	whereas	SCONJ
ejpam-5249	312	31	the	the	DET
ejpam-5249	312	32	whitefly	whitefly	NOUN
ejpam-5249	312	33	death	death	NOUN
ejpam-5249	312	34	rate	rate	NOUN
ejpam-5249	312	35	s	s	PART
ejpam-5249	312	36	increases	increase	NOUN
ejpam-5249	312	37	when	when	SCONJ
ejpam-5249	312	38	the	the	DET
ejpam-5249	312	39	healthy	healthy	ADJ
ejpam-5249	312	40	tree	tree	NOUN
ejpam-5249	312	41	density	density	NOUN
ejpam-5249	312	42	varies	vary	VERB
ejpam-5249	312	43	from	from	ADP
ejpam-5249	312	44	0.006	0.006	NUM
ejpam-5249	312	45	to	to	ADP
ejpam-5249	312	46	0.01	0.01	NUM
ejpam-5249	312	47	with	with	ADP
ejpam-5249	312	48	the	the	DET
ejpam-5249	312	49	time	time	NOUN
ejpam-5249	312	50	delay	delay	NOUN
ejpam-5249	312	51	τ	τ	PROPN
ejpam-5249	312	52	=	=	SYM
ejpam-5249	312	53	0.5	0.5	NUM
ejpam-5249	312	54	and	and	CCONJ
ejpam-5249	312	55	it	it	PRON
ejpam-5249	312	56	is	be	AUX
ejpam-5249	312	57	shown	show	VERB
ejpam-5249	312	58	in	in	ADP
ejpam-5249	312	59	figure	figure	NOUN
ejpam-5249	312	60	(	(	PUNCT
ejpam-5249	312	61	6b	6b	NOUN
ejpam-5249	312	62	)	)	PUNCT
ejpam-5249	312	63	.	.	PUNCT
ejpam-5249	313	1	in	in	ADP
ejpam-5249	313	2	figure	figure	NOUN
ejpam-5249	313	3	(	(	PUNCT
ejpam-5249	313	4	7a	7a	NUM
ejpam-5249	313	5	)	)	PUNCT
ejpam-5249	313	6	,	,	PUNCT
ejpam-5249	313	7	the	the	DET
ejpam-5249	313	8	infected	infect	VERB
ejpam-5249	313	9	tree	tree	NOUN
ejpam-5249	313	10	density	density	NOUN
ejpam-5249	313	11	increases	increase	NOUN
ejpam-5249	313	12	when	when	SCONJ
ejpam-5249	313	13	the	the	DET
ejpam-5249	313	14	time	time	NOUN
ejpam-5249	313	15	delay	delay	NOUN
ejpam-5249	313	16	τ	τ	PROPN
ejpam-5249	313	17	increases	increase	VERB
ejpam-5249	313	18	from	from	ADP
ejpam-5249	313	19	0.5	0.5	NUM
ejpam-5249	313	20	to	to	PART
ejpam-5249	313	21	20	20	NUM
ejpam-5249	313	22	.	.	PUNCT
ejpam-5249	314	1	by	by	ADP
ejpam-5249	314	2	knowing	know	VERB
ejpam-5249	314	3	the	the	DET
ejpam-5249	314	4	range	range	NOUN
ejpam-5249	314	5	of	of	ADP
ejpam-5249	314	6	the	the	DET
ejpam-5249	314	7	infection	infection	NOUN
ejpam-5249	314	8	rate	rate	NOUN
ejpam-5249	314	9	,	,	PUNCT
ejpam-5249	314	10	we	we	PRON
ejpam-5249	314	11	can	can	AUX
ejpam-5249	314	12	control	control	VERB
ejpam-5249	314	13	the	the	DET
ejpam-5249	314	14	spread	spread	NOUN
ejpam-5249	314	15	of	of	ADP
ejpam-5249	314	16	the	the	DET
ejpam-5249	314	17	whitefly	whitefly	ADJ
ejpam-5249	314	18	population	population	NOUN
ejpam-5249	314	19	.	.	PUNCT
ejpam-5249	315	1	in	in	ADP
ejpam-5249	315	2	figure	figure	NOUN
ejpam-5249	315	3	(	(	PUNCT
ejpam-5249	315	4	7b	7b	NUM
ejpam-5249	315	5	)	)	PUNCT
ejpam-5249	315	6	,	,	PUNCT
ejpam-5249	315	7	the	the	DET
ejpam-5249	315	8	mortality	mortality	NOUN
ejpam-5249	315	9	rate	rate	NOUN
ejpam-5249	315	10	of	of	ADP
ejpam-5249	315	11	trees	tree	NOUN
ejpam-5249	315	12	µ	µ	PRON
ejpam-5249	315	13	decreases	decrease	NOUN
ejpam-5249	315	14	when	when	SCONJ
ejpam-5249	315	15	the	the	DET
ejpam-5249	315	16	infected	infected	ADJ
ejpam-5249	315	17	tree	tree	NOUN
ejpam-5249	315	18	density	density	NOUN
ejpam-5249	315	19	with	with	ADP
ejpam-5249	315	20	the	the	DET
ejpam-5249	315	21	time	time	NOUN
ejpam-5249	315	22	delay	delay	NOUN
ejpam-5249	315	23	τ	τ	PROPN
ejpam-5249	315	24	=	=	NOUN
ejpam-5249	315	25	0.5	0.5	NUM
ejpam-5249	315	26	ranging	range	VERB
ejpam-5249	315	27	from	from	ADP
ejpam-5249	315	28	0.00001	0.00001	NUM
ejpam-5249	315	29	to	to	ADP
ejpam-5249	315	30	0.001	0.001	NUM
ejpam-5249	315	31	whereas	whereas	SCONJ
ejpam-5249	315	32	the	the	DET
ejpam-5249	315	33	contact	contact	NOUN
ejpam-5249	315	34	rate	rate	VERB
ejpam-5249	315	35	a	a	DET
ejpam-5249	315	36	increases	increase	NOUN
ejpam-5249	315	37	when	when	SCONJ
ejpam-5249	315	38	the	the	DET
ejpam-5249	315	39	infected	infected	ADJ
ejpam-5249	315	40	tree	tree	NOUN
ejpam-5249	315	41	density	density	NOUN
ejpam-5249	315	42	with	with	ADP
ejpam-5249	315	43	the	the	DET
ejpam-5249	315	44	time	time	NOUN
ejpam-5249	315	45	delay	delay	NOUN
ejpam-5249	315	46	τ	τ	PROPN
ejpam-5249	315	47	=	=	NOUN
ejpam-5249	315	48	0.5	0.5	NUM
ejpam-5249	315	49	ranging	range	VERB
ejpam-5249	315	50	from	from	ADP
ejpam-5249	315	51	0.00015	0.00015	NUM
ejpam-5249	315	52	to	to	ADP
ejpam-5249	315	53	0.002	0.002	NUM
ejpam-5249	315	54	.	.	PUNCT
ejpam-5249	316	1	and	and	CCONJ
ejpam-5249	316	2	it	it	PRON
ejpam-5249	316	3	is	be	AUX
ejpam-5249	316	4	shown	show	VERB
ejpam-5249	316	5	from	from	ADP
ejpam-5249	316	6	(	(	PUNCT
ejpam-5249	316	7	7c	7c	NUM
ejpam-5249	316	8	)	)	PUNCT
ejpam-5249	316	9	,	,	PUNCT
ejpam-5249	316	10	and	and	CCONJ
ejpam-5249	316	11	the	the	DET
ejpam-5249	316	12	death	death	NOUN
ejpam-5249	316	13	rate	rate	NOUN
ejpam-5249	316	14	of	of	ADP
ejpam-5249	316	15	rsws	rsws	NOUN
ejpam-5249	316	16	s	s	PART
ejpam-5249	316	17	decreases	decrease	NOUN
ejpam-5249	316	18	when	when	SCONJ
ejpam-5249	316	19	the	the	DET
ejpam-5249	316	20	infected	infected	ADJ
ejpam-5249	316	21	tree	tree	NOUN
ejpam-5249	316	22	density	density	NOUN
ejpam-5249	316	23	with	with	ADP
ejpam-5249	316	24	the	the	DET
ejpam-5249	316	25	time	time	NOUN
ejpam-5249	316	26	delay	delay	NOUN
ejpam-5249	316	27	τ	τ	PROPN
ejpam-5249	316	28	=	=	SYM
ejpam-5249	316	29	0.5	0.5	NUM
ejpam-5249	316	30	in	in	ADP
ejpam-5249	316	31	the	the	DET
ejpam-5249	316	32	ranging	ranging	NOUN
ejpam-5249	316	33	from	from	ADP
ejpam-5249	316	34	0.006	0.006	NUM
ejpam-5249	316	35	to	to	PART
ejpam-5249	316	36	0.01	0.01	NUM
ejpam-5249	316	37	is	be	AUX
ejpam-5249	316	38	shown	show	VERB
ejpam-5249	316	39	in	in	ADP
ejpam-5249	316	40	figure	figure	NOUN
ejpam-5249	316	41	(	(	PUNCT
ejpam-5249	316	42	7d	7d	NUM
ejpam-5249	316	43	)	)	PUNCT
ejpam-5249	316	44	.	.	PUNCT
ejpam-5249	317	1	from	from	ADP
ejpam-5249	317	2	figure	figure	NOUN
ejpam-5249	317	3	(	(	PUNCT
ejpam-5249	317	4	8a	8a	NUM
ejpam-5249	317	5	)	)	PUNCT
ejpam-5249	317	6	,	,	PUNCT
ejpam-5249	317	7	the	the	DET
ejpam-5249	317	8	whitefly	whitefly	ADJ
ejpam-5249	317	9	birth	birth	NOUN
ejpam-5249	317	10	rate	rate	NOUN
ejpam-5249	317	11	w	w	NOUN
ejpam-5249	317	12	increases	increase	NOUN
ejpam-5249	317	13	when	when	SCONJ
ejpam-5249	317	14	the	the	DET
ejpam-5249	317	15	whitefly	whitefly	ADJ
ejpam-5249	317	16	density	density	NOUN
ejpam-5249	317	17	with	with	ADP
ejpam-5249	317	18	the	the	DET
ejpam-5249	317	19	time	time	NOUN
ejpam-5249	317	20	delay	delay	NOUN
ejpam-5249	317	21	τ	τ	PROPN
ejpam-5249	317	22	=	=	NOUN
ejpam-5249	317	23	0.5	0.5	NUM
ejpam-5249	317	24	varies	vary	VERB
ejpam-5249	317	25	from	from	ADP
ejpam-5249	317	26	0.1	0.1	NUM
ejpam-5249	317	27	to	to	ADP
ejpam-5249	317	28	2.5	2.5	NUM
ejpam-5249	317	29	.	.	PUNCT
ejpam-5249	318	1	from	from	ADP
ejpam-5249	318	2	figure	figure	NOUN
ejpam-5249	318	3	(	(	PUNCT
ejpam-5249	318	4	8b	8b	NUM
ejpam-5249	318	5	)	)	PUNCT
ejpam-5249	318	6	,	,	PUNCT
ejpam-5249	318	7	the	the	DET
ejpam-5249	318	8	death	death	NOUN
ejpam-5249	318	9	rate	rate	NOUN
ejpam-5249	318	10	of	of	ADP
ejpam-5249	318	11	rsw	rsw	PROPN
ejpam-5249	318	12	s	s	PART
ejpam-5249	318	13	decreases	decrease	NOUN
ejpam-5249	318	14	when	when	SCONJ
ejpam-5249	318	15	the	the	DET
ejpam-5249	318	16	whitefly	whitefly	ADJ
ejpam-5249	318	17	density	density	NOUN
ejpam-5249	318	18	with	with	ADP
ejpam-5249	318	19	the	the	DET
ejpam-5249	318	20	time	time	NOUN
ejpam-5249	318	21	delay	delay	NOUN
ejpam-5249	318	22	τ	τ	PROPN
ejpam-5249	318	23	=	=	NOUN
ejpam-5249	318	24	0.5	0.5	NUM
ejpam-5249	318	25	between	between	ADP
ejpam-5249	318	26	0.006	0.006	NUM
ejpam-5249	318	27	and	and	CCONJ
ejpam-5249	318	28	0.01	0.01	NUM
ejpam-5249	318	29	.	.	PUNCT
ejpam-5249	319	1	it	it	PRON
ejpam-5249	319	2	is	be	AUX
ejpam-5249	319	3	found	find	VERB
ejpam-5249	319	4	from	from	ADP
ejpam-5249	319	5	all	all	PRON
ejpam-5249	319	6	of	of	ADP
ejpam-5249	319	7	these	these	DET
ejpam-5249	319	8	figures	figure	NOUN
ejpam-5249	319	9	that	that	SCONJ
ejpam-5249	319	10	our	our	PRON
ejpam-5249	319	11	analytical	analytical	ADJ
ejpam-5249	319	12	results	result	NOUN
ejpam-5249	319	13	closely	closely	ADV
ejpam-5249	319	14	match	match	VERB
ejpam-5249	319	15	with	with	ADP
ejpam-5249	319	16	the	the	DET
ejpam-5249	319	17	numerical	numerical	ADJ
ejpam-5249	319	18	results	result	NOUN
ejpam-5249	319	19	.	.	PUNCT
ejpam-5249	320	1	table	table	NOUN
ejpam-5249	320	2	1	1	NUM
ejpam-5249	320	3	contains	contain	VERB
ejpam-5249	320	4	the	the	DET
ejpam-5249	320	5	parametric	parametric	ADJ
ejpam-5249	320	6	values	value	NOUN
ejpam-5249	320	7	that	that	PRON
ejpam-5249	320	8	were	be	AUX
ejpam-5249	320	9	used	use	VERB
ejpam-5249	320	10	in	in	ADP
ejpam-5249	320	11	the	the	DET
ejpam-5249	320	12	analysis	analysis	NOUN
ejpam-5249	320	13	.	.	PUNCT
ejpam-5249	321	1	the	the	DET
ejpam-5249	321	2	homotopy	homotopy	NOUN
ejpam-5249	321	3	perturbation	perturbation	NOUN
ejpam-5249	321	4	method	method	NOUN
ejpam-5249	321	5	result	result	NOUN
ejpam-5249	321	6	and	and	CCONJ
ejpam-5249	321	7	the	the	DET
ejpam-5249	321	8	numerical	numerical	PROPN
ejpam-5249	321	9	simulation	simulation	PROPN
ejpam-5249	321	10	result	result	NOUN
ejpam-5249	321	11	of	of	ADP
ejpam-5249	321	12	eq.(1	eq.(1	ADJ
ejpam-5249	321	13	)	)	PUNCT
ejpam-5249	321	14	are	be	AUX
ejpam-5249	321	15	find	find	VERB
ejpam-5249	321	16	to	to	PART
ejpam-5249	321	17	derive	derive	VERB
ejpam-5249	321	18	the	the	DET
ejpam-5249	321	19	erb	erb	NOUN
ejpam-5249	321	20	.	.	PUNCT
ejpam-5249	322	1	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	322	2	,	,	PUNCT
ejpam-5249	322	3	r.	r.	PROPN
ejpam-5249	322	4	senthamarai	senthamarai	PROPN
ejpam-5249	322	5	/	/	SYM
ejpam-5249	322	6	eur	eur	PROPN
ejpam-5249	322	7	.	.	PUNCT
ejpam-5249	323	1	j.	j.	PROPN
ejpam-5249	323	2	pure	pure	PROPN
ejpam-5249	323	3	appl	appl	PROPN
ejpam-5249	323	4	.	.	PROPN
ejpam-5249	323	5	math	math	PROPN
ejpam-5249	323	6	,	,	PUNCT
ejpam-5249	323	7	17	17	NUM
ejpam-5249	323	8	(	(	PUNCT
ejpam-5249	323	9	3	3	NUM
ejpam-5249	323	10	)	)	PUNCT
ejpam-5249	323	11	(	(	PUNCT
ejpam-5249	323	12	2024	2024	NUM
ejpam-5249	323	13	)	)	PUNCT
ejpam-5249	323	14	,	,	PUNCT
ejpam-5249	323	15	1908	1908	NUM
ejpam-5249	323	16	-	-	SYM
ejpam-5249	323	17	1936	1936	NUM
ejpam-5249	323	18	1923	1923	NUM
ejpam-5249	323	19	ror	ror	NOUN
ejpam-5249	323	20	approximation	approximation	NOUN
ejpam-5249	323	21	in	in	ADP
ejpam-5249	323	22	table	table	NOUN
ejpam-5249	323	23	2	2	NUM
ejpam-5249	323	24	.	.	PUNCT
ejpam-5249	324	1	the	the	DET
ejpam-5249	324	2	error	error	NOUN
ejpam-5249	324	3	estimation	estimation	NOUN
ejpam-5249	324	4	achieved	achieve	VERB
ejpam-5249	324	5	by	by	ADP
ejpam-5249	324	6	finding	find	VERB
ejpam-5249	324	7	the	the	DET
ejpam-5249	324	8	numerical	numerical	PROPN
ejpam-5249	324	9	simulation	simulation	PROPN
ejpam-5249	324	10	result	result	NOUN
ejpam-5249	324	11	and	and	CCONJ
ejpam-5249	324	12	the	the	DET
ejpam-5249	324	13	homotopy	homotopy	NOUN
ejpam-5249	324	14	perturbation	perturbation	NOUN
ejpam-5249	324	15	method	method	NOUN
ejpam-5249	324	16	result	result	NOUN
ejpam-5249	324	17	of	of	ADP
ejpam-5249	324	18	eq.(5	eq.(5	NOUN
ejpam-5249	324	19	)	)	PUNCT
ejpam-5249	324	20	is	be	AUX
ejpam-5249	324	21	displayed	display	VERB
ejpam-5249	324	22	with	with	ADP
ejpam-5249	324	23	the	the	DET
ejpam-5249	324	24	time	time	NOUN
ejpam-5249	324	25	delay	delay	NOUN
ejpam-5249	324	26	τ	τ	PROPN
ejpam-5249	324	27	=	=	SYM
ejpam-5249	324	28	0.5	0.5	NUM
ejpam-5249	324	29	in	in	ADP
ejpam-5249	324	30	table	table	NOUN
ejpam-5249	324	31	3	3	NUM
ejpam-5249	324	32	.	.	PUNCT
ejpam-5249	325	1	thus	thus	ADV
ejpam-5249	325	2	,	,	PUNCT
ejpam-5249	325	3	the	the	DET
ejpam-5249	325	4	results	result	NOUN
ejpam-5249	325	5	obtained	obtain	VERB
ejpam-5249	325	6	by	by	ADP
ejpam-5249	325	7	homotopy	homotopy	NOUN
ejpam-5249	325	8	perturbation	perturbation	NOUN
ejpam-5249	325	9	method	method	NOUN
ejpam-5249	325	10	seems	seem	VERB
ejpam-5249	325	11	fine	fine	ADJ
ejpam-5249	325	12	.	.	PUNCT
ejpam-5249	326	1	0	0	NUM
ejpam-5249	327	1	20	20	NUM
ejpam-5249	327	2	40	40	NUM
ejpam-5249	327	3	60	60	NUM
ejpam-5249	327	4	80	80	NUM
ejpam-5249	327	5	100	100	NUM
ejpam-5249	327	6	120	120	NUM
ejpam-5249	327	7	time	time	NOUN
ejpam-5249	327	8	(	(	PUNCT
ejpam-5249	327	9	t	t	NOUN
ejpam-5249	327	10	)	)	PUNCT
ejpam-5249	327	11	(	(	PUNCT
ejpam-5249	327	12	days	day	NOUN
ejpam-5249	327	13	)	)	PUNCT
ejpam-5249	327	14	4.98	4.98	NUM
ejpam-5249	327	15	4.99	4.99	NUM
ejpam-5249	327	16	5	5	NUM
ejpam-5249	327	17	5.01	5.01	NUM
ejpam-5249	327	18	5.02	5.02	NUM
ejpam-5249	327	19	5.03	5.03	NUM
ejpam-5249	327	20	h	h	NOUN
ejpam-5249	327	21	ea	ea	ADP
ejpam-5249	327	22	lt	lt	PRON
ejpam-5249	327	23	h	h	PROPN
ejpam-5249	327	24	y	y	PROPN
ejpam-5249	327	25	t	t	PROPN
ejpam-5249	327	26	re	re	X
ejpam-5249	327	27	e	e	PROPN
ejpam-5249	327	28	d	d	X
ejpam-5249	327	29	en	en	X
ejpam-5249	327	30	si	si	PROPN
ejpam-5249	327	31	ty	ty	INTJ
ejpam-5249	327	32	x	x	SYM
ejpam-5249	327	33	(	(	PUNCT
ejpam-5249	327	34	t	t	PROPN
ejpam-5249	327	35	)	)	PUNCT
ejpam-5249	327	36	(	(	PUNCT
ejpam-5249	327	37	m	m	INTJ
ejpam-5249	327	38	-2	-2	NOUN
ejpam-5249	327	39	)	)	PUNCT
ejpam-5249	327	40	10	10	NUM
ejpam-5249	327	41	-3	-3	PUNCT
ejpam-5249	327	42	*	*	PUNCT
ejpam-5249	327	43	*	*	PUNCT
ejpam-5249	327	44	*	*	PUNCT
ejpam-5249	327	45	numerical	numerical	PROPN
ejpam-5249	327	46	simulation	simulation	PROPN
ejpam-5249	327	47	analytical	analytical	ADJ
ejpam-5249	327	48	approximation	approximation	NOUN
ejpam-5249	327	49	s	s	PART
ejpam-5249	327	50	=	=	NOUN
ejpam-5249	327	51	0.006	0.006	NUM
ejpam-5249	327	52	,	,	PUNCT
ejpam-5249	327	53	0.007	0.007	NUM
ejpam-5249	327	54	,	,	PUNCT
ejpam-5249	327	55	0.008	0.008	NUM
ejpam-5249	327	56	,	,	PUNCT
ejpam-5249	327	57	0.009	0.009	NUM
ejpam-5249	327	58	,	,	PUNCT
ejpam-5249	327	59	0.01	0.01	NUM
ejpam-5249	327	60	increases	increase	VERB
ejpam-5249	327	61	b	b	NOUN
ejpam-5249	327	62	=	=	SYM
ejpam-5249	327	63	0.0005	0.0005	NUM
ejpam-5249	327	64	=	=	PUNCT
ejpam-5249	327	65	0.0001	0.0001	NUM
ejpam-5249	327	66	w	w	NOUN
ejpam-5249	327	67	=	=	NOUN
ejpam-5249	327	68	0.2	0.2	NUM
ejpam-5249	327	69	a	a	DET
ejpam-5249	327	70	=	=	SYM
ejpam-5249	327	71	0.0002	0.0002	NUM
ejpam-5249	327	72	v	v	NOUN
ejpam-5249	327	73	=	=	SYM
ejpam-5249	327	74	0.0138	0.0138	NUM
ejpam-5249	327	75	(	(	PUNCT
ejpam-5249	327	76	a	a	NOUN
ejpam-5249	327	77	)	)	PUNCT
ejpam-5249	327	78	0	0	NUM
ejpam-5249	327	79	20	20	NUM
ejpam-5249	327	80	40	40	NUM
ejpam-5249	327	81	60	60	NUM
ejpam-5249	327	82	80	80	NUM
ejpam-5249	327	83	100	100	NUM
ejpam-5249	327	84	120	120	NUM
ejpam-5249	327	85	time	time	NOUN
ejpam-5249	327	86	(	(	PUNCT
ejpam-5249	327	87	t	t	NOUN
ejpam-5249	327	88	)	)	PUNCT
ejpam-5249	327	89	(	(	PUNCT
ejpam-5249	327	90	days	day	NOUN
ejpam-5249	327	91	)	)	PUNCT
ejpam-5249	327	92	5	5	NUM
ejpam-5249	327	93	5.02	5.02	NUM
ejpam-5249	327	94	5.04	5.04	NUM
ejpam-5249	327	95	5.06	5.06	NUM
ejpam-5249	327	96	5.08	5.08	NUM
ejpam-5249	327	97	5.1	5.1	NUM
ejpam-5249	327	98	5.12	5.12	NUM
ejpam-5249	327	99	5.14	5.14	NUM
ejpam-5249	327	100	5.16	5.16	NUM
ejpam-5249	327	101	5.18	5.18	NUM
ejpam-5249	327	102	h	h	NOUN
ejpam-5249	327	103	ea	ea	PROPN
ejpam-5249	328	1	lt	lt	PRON
ejpam-5249	328	2	h	h	PROPN
ejpam-5249	328	3	y	y	PROPN
ejpam-5249	328	4	t	t	PROPN
ejpam-5249	328	5	re	re	X
ejpam-5249	328	6	e	e	PROPN
ejpam-5249	328	7	d	d	X
ejpam-5249	328	8	en	en	X
ejpam-5249	328	9	si	si	PROPN
ejpam-5249	328	10	ty	ty	INTJ
ejpam-5249	328	11	x	x	SYM
ejpam-5249	328	12	(	(	PUNCT
ejpam-5249	328	13	t	t	PROPN
ejpam-5249	328	14	)	)	PUNCT
ejpam-5249	328	15	(	(	PUNCT
ejpam-5249	328	16	m	m	INTJ
ejpam-5249	328	17	-2	-2	NOUN
ejpam-5249	328	18	)	)	PUNCT
ejpam-5249	328	19	10	10	NUM
ejpam-5249	329	1	-3	-3	PUNCT
ejpam-5249	329	2	*	*	PUNCT
ejpam-5249	329	3	*	*	PUNCT
ejpam-5249	329	4	*	*	PUNCT
ejpam-5249	329	5	numerical	numerical	PROPN
ejpam-5249	329	6	simulation	simulation	PROPN
ejpam-5249	329	7	analytical	analytical	ADJ
ejpam-5249	329	8	approximation	approximation	NOUN
ejpam-5249	329	9	decreases	decrease	VERB
ejpam-5249	329	10	b	b	X
ejpam-5249	329	11	=	=	SYM
ejpam-5249	329	12	0.0005	0.0005	NUM
ejpam-5249	330	1	=	=	PUNCT
ejpam-5249	330	2	0.0001	0.0001	NUM
ejpam-5249	330	3	w	w	NOUN
ejpam-5249	330	4	=	=	NOUN
ejpam-5249	331	1	0.2	0.2	NUM
ejpam-5249	331	2	s	s	NOUN
ejpam-5249	331	3	=	=	NOUN
ejpam-5249	331	4	0.006	0.006	NUM
ejpam-5249	331	5	v	v	NOUN
ejpam-5249	331	6	=	=	SYM
ejpam-5249	331	7	0.0138	0.0138	NUM
ejpam-5249	331	8	a	a	DET
ejpam-5249	331	9	=	=	SYM
ejpam-5249	331	10	0.00001	0.00001	NUM
ejpam-5249	331	11	,	,	PUNCT
ejpam-5249	331	12	0.00002	0.00002	NUM
ejpam-5249	331	13	,	,	PUNCT
ejpam-5249	331	14	0.00003	0.00003	NUM
ejpam-5249	331	15	,	,	PUNCT
ejpam-5249	331	16	0.00005	0.00005	NUM
ejpam-5249	331	17	,	,	PUNCT
ejpam-5249	331	18	0.0001	0.0001	NUM
ejpam-5249	331	19	(	(	PUNCT
ejpam-5249	331	20	b	b	NOUN
ejpam-5249	331	21	)	)	PUNCT
ejpam-5249	331	22	figure	figure	NOUN
ejpam-5249	331	23	2	2	NUM
ejpam-5249	331	24	:	:	PUNCT
ejpam-5249	331	25	graphs	graph	NOUN
ejpam-5249	331	26	of	of	ADP
ejpam-5249	331	27	the	the	DET
ejpam-5249	331	28	healthy	healthy	ADJ
ejpam-5249	331	29	tree	tree	NOUN
ejpam-5249	331	30	density	density	NOUN
ejpam-5249	331	31	x	x	PUNCT
ejpam-5249	331	32	over	over	ADP
ejpam-5249	331	33	time	time	NOUN
ejpam-5249	331	34	t	t	PROPN
ejpam-5249	331	35	,	,	PUNCT
ejpam-5249	331	36	determined	determine	VERB
ejpam-5249	331	37	by	by	ADP
ejpam-5249	331	38	numerical	numerical	ADJ
ejpam-5249	331	39	simulations	simulation	NOUN
ejpam-5249	331	40	and	and	CCONJ
ejpam-5249	331	41	the	the	DET
ejpam-5249	331	42	homotopy	homotopy	NOUN
ejpam-5249	331	43	perturbation	perturbation	NOUN
ejpam-5249	331	44	method	method	NOUN
ejpam-5249	331	45	solution	solution	NOUN
ejpam-5249	331	46	.	.	PUNCT
ejpam-5249	332	1	the	the	DET
ejpam-5249	332	2	numerical	numerical	ADJ
ejpam-5249	332	3	simulations	simulation	NOUN
ejpam-5249	332	4	are	be	AUX
ejpam-5249	332	5	indicated	indicate	VERB
ejpam-5249	332	6	by	by	ADP
ejpam-5249	332	7	the	the	DET
ejpam-5249	332	8	curves	curve	NOUN
ejpam-5249	332	9	(	(	PUNCT
ejpam-5249	332	10	—	—	PUNCT
ejpam-5249	332	11	)	)	PUNCT
ejpam-5249	332	12	using	use	VERB
ejpam-5249	332	13	eq.(1	eq.(1	ADJ
ejpam-5249	332	14	)	)	PUNCT
ejpam-5249	332	15	and	and	CCONJ
ejpam-5249	332	16	the	the	DET
ejpam-5249	332	17	analyitcal	analyitcal	ADJ
ejpam-5249	332	18	solution	solution	NOUN
ejpam-5249	332	19	of	of	ADP
ejpam-5249	332	20	homotopy	homotopy	NOUN
ejpam-5249	332	21	perturbation	perturbation	NOUN
ejpam-5249	332	22	method	method	NOUN
ejpam-5249	332	23	is	be	AUX
ejpam-5249	332	24	plotted	plot	VERB
ejpam-5249	332	25	by	by	ADP
ejpam-5249	332	26	(	(	PUNCT
ejpam-5249	332	27	*	*	PUNCT
ejpam-5249	332	28	*	*	PUNCT
ejpam-5249	332	29	*	*	PUNCT
ejpam-5249	332	30	)	)	PUNCT
ejpam-5249	332	31	using	use	VERB
ejpam-5249	332	32	eq.(31	eq.(31	NOUN
ejpam-5249	332	33	)	)	PUNCT
ejpam-5249	332	34	.	.	PUNCT
ejpam-5249	333	1	0	0	NUM
ejpam-5249	334	1	20	20	NUM
ejpam-5249	334	2	40	40	NUM
ejpam-5249	334	3	60	60	NUM
ejpam-5249	334	4	80	80	NUM
ejpam-5249	334	5	100	100	NUM
ejpam-5249	334	6	120	120	NUM
ejpam-5249	334	7	time	time	NOUN
ejpam-5249	334	8	(	(	PUNCT
ejpam-5249	334	9	t	t	NOUN
ejpam-5249	334	10	)	)	PUNCT
ejpam-5249	334	11	(	(	PUNCT
ejpam-5249	334	12	days	day	NOUN
ejpam-5249	334	13	)	)	PUNCT
ejpam-5249	334	14	7	7	NUM
ejpam-5249	334	15	7.5	7.5	NUM
ejpam-5249	334	16	8	8	NUM
ejpam-5249	334	17	8.5	8.5	NUM
ejpam-5249	334	18	9	9	NUM
ejpam-5249	334	19	9.5	9.5	NUM
ejpam-5249	334	20	in	in	ADP
ejpam-5249	334	21	fe	fe	X
ejpam-5249	334	22	ct	ct	PROPN
ejpam-5249	334	23	ed	ed	PROPN
ejpam-5249	334	24	t	t	PROPN
ejpam-5249	334	25	re	re	X
ejpam-5249	334	26	e	e	PROPN
ejpam-5249	334	27	d	d	X
ejpam-5249	334	28	en	en	X
ejpam-5249	334	29	si	si	PROPN
ejpam-5249	335	1	ty	ty	INTJ
ejpam-5249	335	2	y	y	PROPN
ejpam-5249	335	3	(	(	PUNCT
ejpam-5249	335	4	t	t	PROPN
ejpam-5249	335	5	)	)	PUNCT
ejpam-5249	335	6	(	(	PUNCT
ejpam-5249	335	7	m	m	INTJ
ejpam-5249	335	8	-2	-2	NOUN
ejpam-5249	335	9	)	)	PUNCT
ejpam-5249	335	10	10	10	NUM
ejpam-5249	335	11	-4	-4	NUM
ejpam-5249	335	12	increases	increase	VERB
ejpam-5249	335	13	*	*	PUNCT
ejpam-5249	335	14	*	*	PUNCT
ejpam-5249	335	15	*	*	PUNCT
ejpam-5249	335	16	numerical	numerical	PROPN
ejpam-5249	335	17	simulation	simulation	PROPN
ejpam-5249	335	18	analytical	analytical	ADJ
ejpam-5249	335	19	approximation	approximation	NOUN
ejpam-5249	335	20	b	b	PROPN
ejpam-5249	336	1	=	=	SYM
ejpam-5249	336	2	0.0005	0.0005	NUM
ejpam-5249	336	3	=	=	PUNCT
ejpam-5249	336	4	0.0001	0.0001	NUM
ejpam-5249	336	5	w	w	NOUN
ejpam-5249	336	6	=	=	NOUN
ejpam-5249	336	7	0.2	0.2	NUM
ejpam-5249	336	8	s	s	NOUN
ejpam-5249	336	9	=	=	NOUN
ejpam-5249	336	10	0.006	0.006	NUM
ejpam-5249	336	11	v	v	NOUN
ejpam-5249	336	12	=	=	SYM
ejpam-5249	336	13	0.0138	0.0138	PROPN
ejpam-5249	336	14	a	a	PRON
ejpam-5249	336	15	=	=	SYM
ejpam-5249	336	16	0.00015	0.00015	NUM
ejpam-5249	336	17	,	,	PUNCT
ejpam-5249	336	18	0.00011	0.00011	NUM
ejpam-5249	336	19	,	,	PUNCT
ejpam-5249	336	20	0.00010	0.00010	NUM
ejpam-5249	336	21	,	,	PUNCT
ejpam-5249	336	22	0.003	0.003	NUM
ejpam-5249	336	23	,	,	PUNCT
ejpam-5249	336	24	0.002	0.002	NUM
ejpam-5249	336	25	(	(	PUNCT
ejpam-5249	336	26	a	a	NOUN
ejpam-5249	336	27	)	)	PUNCT
ejpam-5249	336	28	0	0	NUM
ejpam-5249	336	29	20	20	NUM
ejpam-5249	337	1	40	40	NUM
ejpam-5249	337	2	60	60	NUM
ejpam-5249	337	3	80	80	NUM
ejpam-5249	337	4	100	100	NUM
ejpam-5249	337	5	120	120	NUM
ejpam-5249	337	6	time	time	NOUN
ejpam-5249	337	7	(	(	PUNCT
ejpam-5249	337	8	t	t	NOUN
ejpam-5249	337	9	)	)	PUNCT
ejpam-5249	337	10	(	(	PUNCT
ejpam-5249	337	11	days	day	NOUN
ejpam-5249	337	12	)	)	PUNCT
ejpam-5249	337	13	7	7	NUM
ejpam-5249	337	14	7.2	7.2	NUM
ejpam-5249	337	15	7.4	7.4	NUM
ejpam-5249	337	16	7.6	7.6	NUM
ejpam-5249	337	17	7.8	7.8	NUM
ejpam-5249	337	18	8	8	NUM
ejpam-5249	337	19	8.2	8.2	NUM
ejpam-5249	337	20	8.4	8.4	NUM
ejpam-5249	337	21	8.6	8.6	NUM
ejpam-5249	337	22	8.8	8.8	NUM
ejpam-5249	337	23	in	in	ADP
ejpam-5249	337	24	fe	fe	X
ejpam-5249	338	1	ct	ct	PROPN
ejpam-5249	338	2	ed	ed	PROPN
ejpam-5249	338	3	t	t	PROPN
ejpam-5249	338	4	re	re	X
ejpam-5249	338	5	e	e	PROPN
ejpam-5249	338	6	d	d	X
ejpam-5249	338	7	en	en	X
ejpam-5249	338	8	si	si	PROPN
ejpam-5249	338	9	ty	ty	INTJ
ejpam-5249	338	10	y	y	PROPN
ejpam-5249	338	11	(	(	PUNCT
ejpam-5249	338	12	t	t	PROPN
ejpam-5249	338	13	)	)	PUNCT
ejpam-5249	338	14	(	(	PUNCT
ejpam-5249	338	15	m	m	INTJ
ejpam-5249	338	16	-2	-2	NOUN
ejpam-5249	338	17	)	)	PUNCT
ejpam-5249	338	18	10	10	NUM
ejpam-5249	338	19	-4	-4	PROPN
ejpam-5249	338	20	numerical	numerical	PROPN
ejpam-5249	338	21	simulation	simulation	PROPN
ejpam-5249	338	22	analytical	analytical	ADJ
ejpam-5249	338	23	approximation	approximation	NOUN
ejpam-5249	338	24	s	s	PART
ejpam-5249	338	25	=	=	NOUN
ejpam-5249	338	26	0.006	0.006	NUM
ejpam-5249	338	27	,	,	PUNCT
ejpam-5249	338	28	0.007	0.007	NUM
ejpam-5249	338	29	,	,	PUNCT
ejpam-5249	338	30	0.008	0.008	NUM
ejpam-5249	338	31	,	,	PUNCT
ejpam-5249	338	32	0.009	0.009	NUM
ejpam-5249	338	33	,	,	PUNCT
ejpam-5249	338	34	0.01	0.01	NUM
ejpam-5249	338	35	*	*	PUNCT
ejpam-5249	338	36	*	*	PUNCT
ejpam-5249	338	37	*	*	PUNCT
ejpam-5249	338	38	decreases	decrease	NOUN
ejpam-5249	338	39	b	b	X
ejpam-5249	338	40	=	=	SYM
ejpam-5249	338	41	0.0005	0.0005	NUM
ejpam-5249	338	42	=	=	PUNCT
ejpam-5249	338	43	0.0001	0.0001	NUM
ejpam-5249	338	44	w	w	NOUN
ejpam-5249	338	45	=	=	NOUN
ejpam-5249	338	46	0.2	0.2	NUM
ejpam-5249	338	47	a	a	DET
ejpam-5249	338	48	=	=	SYM
ejpam-5249	338	49	0.0002	0.0002	NUM
ejpam-5249	338	50	v	v	NOUN
ejpam-5249	338	51	=	=	SYM
ejpam-5249	338	52	0.0138	0.0138	NUM
ejpam-5249	338	53	(	(	PUNCT
ejpam-5249	338	54	b	b	NOUN
ejpam-5249	338	55	)	)	PUNCT
ejpam-5249	338	56	figure	figure	NOUN
ejpam-5249	338	57	3	3	NUM
ejpam-5249	338	58	:	:	PUNCT
ejpam-5249	338	59	graphs	graph	NOUN
ejpam-5249	338	60	of	of	ADP
ejpam-5249	338	61	the	the	DET
ejpam-5249	338	62	infected	infect	VERB
ejpam-5249	338	63	tree	tree	NOUN
ejpam-5249	338	64	density	density	NOUN
ejpam-5249	338	65	y	y	PROPN
ejpam-5249	338	66	over	over	ADP
ejpam-5249	338	67	time	time	NOUN
ejpam-5249	338	68	t	t	PROPN
ejpam-5249	338	69	,	,	PUNCT
ejpam-5249	338	70	determined	determine	VERB
ejpam-5249	338	71	by	by	ADP
ejpam-5249	338	72	numerical	numerical	ADJ
ejpam-5249	338	73	simulations	simulation	NOUN
ejpam-5249	338	74	and	and	CCONJ
ejpam-5249	338	75	the	the	DET
ejpam-5249	338	76	homotopy	homotopy	NOUN
ejpam-5249	338	77	perturbation	perturbation	NOUN
ejpam-5249	338	78	method	method	NOUN
ejpam-5249	338	79	solution	solution	NOUN
ejpam-5249	338	80	.	.	PUNCT
ejpam-5249	339	1	the	the	DET
ejpam-5249	339	2	numerical	numerical	ADJ
ejpam-5249	339	3	simulations	simulation	NOUN
ejpam-5249	339	4	are	be	AUX
ejpam-5249	339	5	showed	show	VERB
ejpam-5249	339	6	by	by	ADP
ejpam-5249	339	7	the	the	DET
ejpam-5249	339	8	curves	curve	NOUN
ejpam-5249	339	9	(	(	PUNCT
ejpam-5249	339	10	—	—	PUNCT
ejpam-5249	339	11	)	)	PUNCT
ejpam-5249	339	12	using	use	VERB
ejpam-5249	339	13	eq.(2	eq.(2	NOUN
ejpam-5249	339	14	)	)	PUNCT
ejpam-5249	339	15	and	and	CCONJ
ejpam-5249	339	16	the	the	DET
ejpam-5249	339	17	analytical	analytical	ADJ
ejpam-5249	339	18	solution	solution	NOUN
ejpam-5249	339	19	of	of	ADP
ejpam-5249	339	20	homotopy	homotopy	NOUN
ejpam-5249	339	21	perturbation	perturbation	NOUN
ejpam-5249	339	22	method	method	NOUN
ejpam-5249	339	23	is	be	AUX
ejpam-5249	339	24	plotted	plot	VERB
ejpam-5249	339	25	by	by	ADP
ejpam-5249	339	26	(	(	PUNCT
ejpam-5249	339	27	*	*	PUNCT
ejpam-5249	339	28	*	*	PUNCT
ejpam-5249	339	29	*	*	PUNCT
ejpam-5249	339	30	)	)	PUNCT
ejpam-5249	339	31	using	use	VERB
ejpam-5249	339	32	eq.(32	eq.(32	NOUN
ejpam-5249	339	33	)	)	PUNCT
ejpam-5249	339	34	.	.	PUNCT
ejpam-5249	340	1	b.	b.	PROPN
ejpam-5249	340	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	340	3	,	,	PUNCT
ejpam-5249	340	4	r.	r.	PROPN
ejpam-5249	340	5	senthamarai	senthamarai	PROPN
ejpam-5249	340	6	/	/	SYM
ejpam-5249	340	7	eur	eur	PROPN
ejpam-5249	340	8	.	.	PUNCT
ejpam-5249	341	1	j.	j.	PROPN
ejpam-5249	341	2	pure	pure	PROPN
ejpam-5249	341	3	appl	appl	PROPN
ejpam-5249	341	4	.	.	PROPN
ejpam-5249	341	5	math	math	PROPN
ejpam-5249	341	6	,	,	PUNCT
ejpam-5249	341	7	17	17	NUM
ejpam-5249	341	8	(	(	PUNCT
ejpam-5249	341	9	3	3	NUM
ejpam-5249	341	10	)	)	PUNCT
ejpam-5249	341	11	(	(	PUNCT
ejpam-5249	341	12	2024	2024	NUM
ejpam-5249	341	13	)	)	PUNCT
ejpam-5249	341	14	,	,	PUNCT
ejpam-5249	341	15	1908	1908	NUM
ejpam-5249	341	16	-	-	SYM
ejpam-5249	341	17	1936	1936	NUM
ejpam-5249	341	18	1924	1924	NUM
ejpam-5249	341	19	0	0	NUM
ejpam-5249	341	20	20	20	NUM
ejpam-5249	341	21	40	40	NUM
ejpam-5249	341	22	60	60	NUM
ejpam-5249	341	23	80	80	NUM
ejpam-5249	341	24	100	100	NUM
ejpam-5249	341	25	120	120	NUM
ejpam-5249	341	26	time	time	NOUN
ejpam-5249	341	27	(	(	PUNCT
ejpam-5249	341	28	t	t	NOUN
ejpam-5249	341	29	)	)	PUNCT
ejpam-5249	341	30	(	(	PUNCT
ejpam-5249	341	31	days	day	NOUN
ejpam-5249	341	32	)	)	PUNCT
ejpam-5249	341	33	7	7	NUM
ejpam-5249	341	34	7.2	7.2	NUM
ejpam-5249	341	35	7.4	7.4	NUM
ejpam-5249	341	36	7.6	7.6	NUM
ejpam-5249	341	37	7.8	7.8	NUM
ejpam-5249	341	38	8	8	NUM
ejpam-5249	341	39	8.2	8.2	NUM
ejpam-5249	341	40	8.4	8.4	NUM
ejpam-5249	341	41	8.6	8.6	NUM
ejpam-5249	341	42	8.8	8.8	NUM
ejpam-5249	341	43	10	10	NUM
ejpam-5249	341	44	-4	-4	PUNCT
ejpam-5249	341	45	in	in	ADP
ejpam-5249	341	46	fe	fe	X
ejpam-5249	342	1	ct	ct	PROPN
ejpam-5249	342	2	ed	ed	PROPN
ejpam-5249	342	3	t	t	PROPN
ejpam-5249	342	4	re	re	X
ejpam-5249	342	5	e	e	PROPN
ejpam-5249	342	6	d	d	X
ejpam-5249	342	7	en	en	X
ejpam-5249	342	8	si	si	PROPN
ejpam-5249	342	9	ty	ty	INTJ
ejpam-5249	342	10	y	y	PROPN
ejpam-5249	342	11	(	(	PUNCT
ejpam-5249	342	12	t	t	PROPN
ejpam-5249	342	13	)	)	PUNCT
ejpam-5249	342	14	(	(	PUNCT
ejpam-5249	342	15	m	m	INTJ
ejpam-5249	342	16	-2	-2	NOUN
ejpam-5249	342	17	)	)	PUNCT
ejpam-5249	343	1	*	*	PUNCT
ejpam-5249	344	1	*	*	PUNCT
ejpam-5249	345	1	*	*	PUNCT
ejpam-5249	346	1	*	*	PUNCT
ejpam-5249	346	2	*	*	PUNCT
ejpam-5249	347	1	*	*	PUNCT
ejpam-5249	347	2	*	*	PUNCT
ejpam-5249	348	1	*	*	PUNCT
ejpam-5249	349	1	*	*	PUNCT
ejpam-5249	350	1	*	*	PUNCT
ejpam-5249	351	1	*	*	PUNCT
ejpam-5249	351	2	*	*	PUNCT
ejpam-5249	352	1	*	*	PUNCT
ejpam-5249	352	2	*	*	PUNCT
ejpam-5249	353	1	*	*	PUNCT
ejpam-5249	353	2	*	*	PUNCT
ejpam-5249	353	3	*	*	PUNCT
ejpam-5249	353	4	*	*	PUNCT
ejpam-5249	354	1	*	*	PUNCT
ejpam-5249	355	1	*	*	PUNCT
ejpam-5249	355	2	*	*	PUNCT
ejpam-5249	356	1	*	*	PUNCT
ejpam-5249	357	1	*	*	PUNCT
ejpam-5249	357	2	*	*	PUNCT
ejpam-5249	358	1	*	*	PUNCT
ejpam-5249	358	2	*	*	PUNCT
ejpam-5249	358	3	*	*	PUNCT
ejpam-5249	358	4	*	*	PUNCT
ejpam-5249	358	5	numerical	numerical	PROPN
ejpam-5249	358	6	simulation	simulation	PROPN
ejpam-5249	358	7	analytical	analytical	ADJ
ejpam-5249	358	8	approximation	approximation	NOUN
ejpam-5249	358	9	*	*	PUNCT
ejpam-5249	358	10	*	*	PUNCT
ejpam-5249	358	11	*	*	PUNCT
ejpam-5249	358	12	decreases	decrease	NOUN
ejpam-5249	358	13	b	b	X
ejpam-5249	358	14	=	=	SYM
ejpam-5249	358	15	0.0005	0.0005	NUM
ejpam-5249	358	16	s	s	NOUN
ejpam-5249	358	17	=	=	NOUN
ejpam-5249	358	18	0.006	0.006	NUM
ejpam-5249	358	19	w	w	NOUN
ejpam-5249	358	20	=	=	NOUN
ejpam-5249	358	21	0.2	0.2	NUM
ejpam-5249	358	22	a	a	DET
ejpam-5249	358	23	=	=	SYM
ejpam-5249	358	24	0.0002	0.0002	NUM
ejpam-5249	358	25	v	v	NOUN
ejpam-5249	358	26	=	=	SYM
ejpam-5249	358	27	0.0138	0.0138	NUM
ejpam-5249	358	28	=	=	SYM
ejpam-5249	358	29	0.00001	0.00001	NUM
ejpam-5249	358	30	,	,	PUNCT
ejpam-5249	358	31	0.0002	0.0002	NUM
ejpam-5249	358	32	,	,	PUNCT
ejpam-5249	358	33	0.0005	0.0005	NUM
ejpam-5249	358	34	,	,	PUNCT
ejpam-5249	358	35	0.0008	0.0008	NUM
ejpam-5249	358	36	,	,	PUNCT
ejpam-5249	358	37	0.001	0.001	NUM
ejpam-5249	358	38	figure	figure	NOUN
ejpam-5249	358	39	4	4	NUM
ejpam-5249	358	40	:	:	PUNCT
ejpam-5249	358	41	graphs	graph	NOUN
ejpam-5249	358	42	of	of	ADP
ejpam-5249	358	43	the	the	DET
ejpam-5249	358	44	infected	infect	VERB
ejpam-5249	358	45	tree	tree	NOUN
ejpam-5249	358	46	density	density	NOUN
ejpam-5249	358	47	y	y	PROPN
ejpam-5249	358	48	over	over	ADP
ejpam-5249	358	49	time	time	NOUN
ejpam-5249	358	50	t	t	PROPN
ejpam-5249	358	51	,	,	PUNCT
ejpam-5249	358	52	determined	determine	VERB
ejpam-5249	358	53	by	by	ADP
ejpam-5249	358	54	numerical	numerical	ADJ
ejpam-5249	358	55	simulations	simulation	NOUN
ejpam-5249	358	56	and	and	CCONJ
ejpam-5249	358	57	the	the	DET
ejpam-5249	358	58	homotopy	homotopy	NOUN
ejpam-5249	358	59	perturbation	perturbation	NOUN
ejpam-5249	358	60	method	method	NOUN
ejpam-5249	358	61	solution	solution	NOUN
ejpam-5249	358	62	.	.	PUNCT
ejpam-5249	359	1	the	the	DET
ejpam-5249	359	2	numerical	numerical	ADJ
ejpam-5249	359	3	simulations	simulation	NOUN
ejpam-5249	359	4	are	be	AUX
ejpam-5249	359	5	indicated	indicate	VERB
ejpam-5249	359	6	by	by	ADP
ejpam-5249	359	7	the	the	DET
ejpam-5249	359	8	curves	curve	NOUN
ejpam-5249	359	9	(	(	PUNCT
ejpam-5249	359	10	—	—	PUNCT
ejpam-5249	359	11	)	)	PUNCT
ejpam-5249	359	12	using	use	VERB
ejpam-5249	359	13	eq.(2	eq.(2	NOUN
ejpam-5249	359	14	)	)	PUNCT
ejpam-5249	359	15	and	and	CCONJ
ejpam-5249	359	16	the	the	DET
ejpam-5249	359	17	analyitcal	analyitcal	ADJ
ejpam-5249	359	18	solution	solution	NOUN
ejpam-5249	359	19	of	of	ADP
ejpam-5249	359	20	homotopy	homotopy	NOUN
ejpam-5249	359	21	perturbation	perturbation	NOUN
ejpam-5249	359	22	method	method	NOUN
ejpam-5249	359	23	is	be	AUX
ejpam-5249	359	24	plotted	plot	VERB
ejpam-5249	359	25	by	by	ADP
ejpam-5249	359	26	(	(	PUNCT
ejpam-5249	359	27	*	*	PUNCT
ejpam-5249	359	28	*	*	PUNCT
ejpam-5249	359	29	*	*	PUNCT
ejpam-5249	359	30	)	)	PUNCT
ejpam-5249	359	31	using	use	VERB
ejpam-5249	359	32	eq.(32	eq.(32	NOUN
ejpam-5249	359	33	)	)	PUNCT
ejpam-5249	359	34	.	.	PUNCT
ejpam-5249	360	1	0	0	NUM
ejpam-5249	361	1	20	20	NUM
ejpam-5249	361	2	40	40	NUM
ejpam-5249	361	3	60	60	NUM
ejpam-5249	361	4	80	80	NUM
ejpam-5249	361	5	100	100	NUM
ejpam-5249	361	6	120	120	NUM
ejpam-5249	361	7	time	time	NOUN
ejpam-5249	361	8	(	(	PUNCT
ejpam-5249	361	9	t	t	NOUN
ejpam-5249	361	10	)	)	PUNCT
ejpam-5249	361	11	(	(	PUNCT
ejpam-5249	361	12	days	day	NOUN
ejpam-5249	361	13	)	)	PUNCT
ejpam-5249	361	14	0.6	0.6	NUM
ejpam-5249	361	15	0.8	0.8	NUM
ejpam-5249	361	16	1	1	NUM
ejpam-5249	361	17	1.2	1.2	NUM
ejpam-5249	361	18	1.4	1.4	NUM
ejpam-5249	361	19	1.6	1.6	NUM
ejpam-5249	361	20	1.8	1.8	NUM
ejpam-5249	361	21	2	2	NUM
ejpam-5249	361	22	w	w	NOUN
ejpam-5249	361	23	h	h	NOUN
ejpam-5249	362	1	it	it	PRON
ejpam-5249	362	2	ef	ef	VERB
ejpam-5249	362	3	ly	ly	X
ejpam-5249	363	1	d	d	X
ejpam-5249	363	2	en	en	X
ejpam-5249	363	3	si	si	INTJ
ejpam-5249	363	4	ty	ty	INTJ
ejpam-5249	363	5	c	c	PROPN
ejpam-5249	363	6	(	(	PUNCT
ejpam-5249	363	7	t	t	PROPN
ejpam-5249	363	8	)	)	PUNCT
ejpam-5249	363	9	(	(	PUNCT
ejpam-5249	363	10	m	m	INTJ
ejpam-5249	363	11	-2	-2	PRON
ejpam-5249	363	12	)	)	PUNCT
ejpam-5249	363	13	decreases	decrease	VERB
ejpam-5249	363	14	s	s	PART
ejpam-5249	363	15	=	=	NOUN
ejpam-5249	363	16	0.006	0.006	NUM
ejpam-5249	363	17	,	,	PUNCT
ejpam-5249	363	18	0.007	0.007	NUM
ejpam-5249	363	19	,	,	PUNCT
ejpam-5249	363	20	0.008	0.008	NUM
ejpam-5249	363	21	,	,	PUNCT
ejpam-5249	363	22	0.009	0.009	NUM
ejpam-5249	363	23	,	,	PUNCT
ejpam-5249	363	24	0.01	0.01	NUM
ejpam-5249	363	25	*	*	PUNCT
ejpam-5249	363	26	*	*	PUNCT
ejpam-5249	363	27	*	*	PUNCT
ejpam-5249	363	28	numerical	numerical	PROPN
ejpam-5249	363	29	simulation	simulation	PROPN
ejpam-5249	363	30	analytical	analytical	ADJ
ejpam-5249	363	31	approximation	approximation	NOUN
ejpam-5249	363	32	b	b	PROPN
ejpam-5249	364	1	=	=	SYM
ejpam-5249	364	2	0.0005	0.0005	NUM
ejpam-5249	364	3	=	=	PUNCT
ejpam-5249	364	4	0.0001	0.0001	NUM
ejpam-5249	364	5	w	w	NOUN
ejpam-5249	364	6	=	=	NOUN
ejpam-5249	364	7	0.2	0.2	NUM
ejpam-5249	364	8	a	a	DET
ejpam-5249	364	9	=	=	SYM
ejpam-5249	364	10	0.0002	0.0002	NUM
ejpam-5249	364	11	v	v	NOUN
ejpam-5249	364	12	=	=	SYM
ejpam-5249	364	13	0.0138	0.0138	NUM
ejpam-5249	364	14	(	(	PUNCT
ejpam-5249	364	15	a	a	NOUN
ejpam-5249	364	16	)	)	PUNCT
ejpam-5249	364	17	0	0	NUM
ejpam-5249	364	18	20	20	NUM
ejpam-5249	364	19	40	40	NUM
ejpam-5249	364	20	60	60	NUM
ejpam-5249	364	21	80	80	NUM
ejpam-5249	364	22	100	100	NUM
ejpam-5249	364	23	120	120	NUM
ejpam-5249	364	24	time	time	NOUN
ejpam-5249	364	25	(	(	PUNCT
ejpam-5249	364	26	t	t	NOUN
ejpam-5249	364	27	)	)	PUNCT
ejpam-5249	364	28	(	(	PUNCT
ejpam-5249	364	29	days	day	NOUN
ejpam-5249	364	30	)	)	PUNCT
ejpam-5249	364	31	0.8	0.8	NUM
ejpam-5249	364	32	1	1	NUM
ejpam-5249	364	33	1.2	1.2	NUM
ejpam-5249	364	34	1.4	1.4	NUM
ejpam-5249	364	35	1.6	1.6	NUM
ejpam-5249	364	36	1.8	1.8	NUM
ejpam-5249	364	37	2	2	NUM
ejpam-5249	364	38	w	w	NOUN
ejpam-5249	364	39	h	h	NOUN
ejpam-5249	365	1	it	it	PRON
ejpam-5249	365	2	ef	ef	VERB
ejpam-5249	365	3	ly	ly	X
ejpam-5249	366	1	d	d	X
ejpam-5249	366	2	en	en	X
ejpam-5249	366	3	si	si	INTJ
ejpam-5249	366	4	ty	ty	INTJ
ejpam-5249	366	5	c	c	PROPN
ejpam-5249	366	6	(	(	PUNCT
ejpam-5249	366	7	t	t	PROPN
ejpam-5249	366	8	)	)	PUNCT
ejpam-5249	366	9	(	(	PUNCT
ejpam-5249	366	10	m	m	VERB
ejpam-5249	366	11	-2	-2	NOUN
ejpam-5249	366	12	)	)	PUNCT
ejpam-5249	367	1	numerical	numerical	PROPN
ejpam-5249	367	2	simulation	simulation	PROPN
ejpam-5249	367	3	analytical	analytical	ADJ
ejpam-5249	367	4	approximation	approximation	NOUN
ejpam-5249	367	5	*	*	PUNCT
ejpam-5249	367	6	*	*	PUNCT
ejpam-5249	367	7	*	*	PUNCT
ejpam-5249	368	1	*	*	PUNCT
ejpam-5249	369	1	*	*	PUNCT
ejpam-5249	370	1	*	*	PUNCT
ejpam-5249	371	1	*	*	PUNCT
ejpam-5249	372	1	*	*	PUNCT
ejpam-5249	373	1	*	*	PUNCT
ejpam-5249	374	1	*	*	PUNCT
ejpam-5249	375	1	*	*	PUNCT
ejpam-5249	375	2	*	*	PUNCT
ejpam-5249	376	1	*	*	PUNCT
ejpam-5249	376	2	*	*	PUNCT
ejpam-5249	376	3	*	*	PUNCT
ejpam-5249	376	4	w	w	X
ejpam-5249	376	5	=	=	NOUN
ejpam-5249	376	6	0.1,0.5,1.0,2.0,2.5	0.1,0.5,1.0,2.0,2.5	NOUN
ejpam-5249	376	7	b	b	X
ejpam-5249	377	1	=	=	SYM
ejpam-5249	378	1	0.0005	0.0005	NUM
ejpam-5249	378	2	=	=	PUNCT
ejpam-5249	378	3	0.0001	0.0001	NUM
ejpam-5249	378	4	a	a	DET
ejpam-5249	378	5	=	=	SYM
ejpam-5249	378	6	0.0002	0.0002	NUM
ejpam-5249	378	7	v	v	NOUN
ejpam-5249	378	8	=	=	SYM
ejpam-5249	378	9	0.0138	0.0138	NUM
ejpam-5249	378	10	s	s	PART
ejpam-5249	378	11	=	=	SYM
ejpam-5249	378	12	0.006	0.006	NUM
ejpam-5249	378	13	increases	increase	NOUN
ejpam-5249	378	14	(	(	PUNCT
ejpam-5249	378	15	b	b	NOUN
ejpam-5249	378	16	)	)	PUNCT
ejpam-5249	378	17	figure	figure	NOUN
ejpam-5249	378	18	5	5	NUM
ejpam-5249	378	19	:	:	PUNCT
ejpam-5249	378	20	graphs	graph	NOUN
ejpam-5249	378	21	of	of	ADP
ejpam-5249	378	22	the	the	DET
ejpam-5249	378	23	whitefly	whitefly	ADJ
ejpam-5249	378	24	density	density	NOUN
ejpam-5249	378	25	c	c	NOUN
ejpam-5249	378	26	over	over	ADP
ejpam-5249	378	27	time	time	NOUN
ejpam-5249	378	28	t	t	PROPN
ejpam-5249	378	29	,	,	PUNCT
ejpam-5249	378	30	determined	determine	VERB
ejpam-5249	378	31	by	by	ADP
ejpam-5249	378	32	numerical	numerical	ADJ
ejpam-5249	378	33	simulations	simulation	NOUN
ejpam-5249	378	34	and	and	CCONJ
ejpam-5249	378	35	the	the	DET
ejpam-5249	378	36	homotopy	homotopy	NOUN
ejpam-5249	378	37	perturbation	perturbation	NOUN
ejpam-5249	378	38	method	method	NOUN
ejpam-5249	378	39	solution	solution	NOUN
ejpam-5249	378	40	.	.	PUNCT
ejpam-5249	379	1	the	the	DET
ejpam-5249	379	2	numerical	numerical	ADJ
ejpam-5249	379	3	simulations	simulation	NOUN
ejpam-5249	379	4	are	be	AUX
ejpam-5249	379	5	showed	show	VERB
ejpam-5249	379	6	by	by	ADP
ejpam-5249	379	7	the	the	DET
ejpam-5249	379	8	curves	curve	NOUN
ejpam-5249	379	9	(	(	PUNCT
ejpam-5249	379	10	—	—	PUNCT
ejpam-5249	379	11	)	)	PUNCT
ejpam-5249	379	12	using	use	VERB
ejpam-5249	379	13	eq.(3	eq.(3	NOUN
ejpam-5249	379	14	)	)	PUNCT
ejpam-5249	379	15	and	and	CCONJ
ejpam-5249	379	16	the	the	DET
ejpam-5249	379	17	analyitcal	analyitcal	ADJ
ejpam-5249	379	18	solution	solution	NOUN
ejpam-5249	379	19	of	of	ADP
ejpam-5249	379	20	homotopy	homotopy	NOUN
ejpam-5249	379	21	perturbation	perturbation	NOUN
ejpam-5249	379	22	method	method	NOUN
ejpam-5249	379	23	is	be	AUX
ejpam-5249	379	24	plotted	plot	VERB
ejpam-5249	379	25	by	by	ADP
ejpam-5249	379	26	(	(	PUNCT
ejpam-5249	379	27	*	*	PUNCT
ejpam-5249	379	28	*	*	PUNCT
ejpam-5249	379	29	*	*	PUNCT
ejpam-5249	379	30	)	)	PUNCT
ejpam-5249	379	31	using	use	VERB
ejpam-5249	379	32	eq.(33	eq.(33	PROPN
ejpam-5249	379	33	)	)	PUNCT
ejpam-5249	379	34	.	.	PUNCT
ejpam-5249	380	1	b.	b.	PROPN
ejpam-5249	380	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	380	3	,	,	PUNCT
ejpam-5249	380	4	r.	r.	PROPN
ejpam-5249	380	5	senthamarai	senthamarai	PROPN
ejpam-5249	380	6	/	/	SYM
ejpam-5249	380	7	eur	eur	PROPN
ejpam-5249	380	8	.	.	PUNCT
ejpam-5249	381	1	j.	j.	PROPN
ejpam-5249	381	2	pure	pure	PROPN
ejpam-5249	381	3	appl	appl	PROPN
ejpam-5249	381	4	.	.	PROPN
ejpam-5249	381	5	math	math	PROPN
ejpam-5249	381	6	,	,	PUNCT
ejpam-5249	381	7	17	17	NUM
ejpam-5249	381	8	(	(	PUNCT
ejpam-5249	381	9	3	3	NUM
ejpam-5249	381	10	)	)	PUNCT
ejpam-5249	381	11	(	(	PUNCT
ejpam-5249	381	12	2024	2024	NUM
ejpam-5249	381	13	)	)	PUNCT
ejpam-5249	381	14	,	,	PUNCT
ejpam-5249	381	15	1908	1908	NUM
ejpam-5249	381	16	-	-	SYM
ejpam-5249	381	17	1936	1936	NUM
ejpam-5249	381	18	1925	1925	NUM
ejpam-5249	381	19	0	0	NUM
ejpam-5249	381	20	20	20	NUM
ejpam-5249	381	21	40	40	NUM
ejpam-5249	381	22	60	60	NUM
ejpam-5249	381	23	80	80	NUM
ejpam-5249	381	24	100	100	NUM
ejpam-5249	381	25	120	120	NUM
ejpam-5249	381	26	time	time	NOUN
ejpam-5249	381	27	(	(	PUNCT
ejpam-5249	381	28	t	t	NOUN
ejpam-5249	381	29	)	)	PUNCT
ejpam-5249	381	30	(	(	PUNCT
ejpam-5249	381	31	days	day	NOUN
ejpam-5249	381	32	)	)	PUNCT
ejpam-5249	381	33	5	5	NUM
ejpam-5249	381	34	5.02	5.02	NUM
ejpam-5249	381	35	5.04	5.04	NUM
ejpam-5249	381	36	5.06	5.06	NUM
ejpam-5249	381	37	5.08	5.08	NUM
ejpam-5249	381	38	5.1	5.1	NUM
ejpam-5249	381	39	5.12	5.12	NUM
ejpam-5249	381	40	5.14	5.14	NUM
ejpam-5249	381	41	5.16	5.16	NUM
ejpam-5249	381	42	5.18	5.18	NUM
ejpam-5249	381	43	h	h	NOUN
ejpam-5249	381	44	ea	ea	PROPN
ejpam-5249	382	1	lt	lt	PRON
ejpam-5249	382	2	h	h	PROPN
ejpam-5249	382	3	y	y	PROPN
ejpam-5249	382	4	t	t	PROPN
ejpam-5249	382	5	re	re	X
ejpam-5249	382	6	e	e	PROPN
ejpam-5249	382	7	d	d	X
ejpam-5249	382	8	en	en	X
ejpam-5249	382	9	si	si	PROPN
ejpam-5249	382	10	ty	ty	INTJ
ejpam-5249	382	11	x	x	SYM
ejpam-5249	382	12	(	(	PUNCT
ejpam-5249	382	13	t	t	PROPN
ejpam-5249	382	14	)	)	PUNCT
ejpam-5249	382	15	(	(	PUNCT
ejpam-5249	382	16	m	m	INTJ
ejpam-5249	382	17	-2	-2	NOUN
ejpam-5249	382	18	)	)	PUNCT
ejpam-5249	382	19	10	10	NUM
ejpam-5249	383	1	-3	-3	PUNCT
ejpam-5249	383	2	*	*	PUNCT
ejpam-5249	383	3	*	*	PUNCT
ejpam-5249	383	4	*	*	PUNCT
ejpam-5249	383	5	numerical	numerical	PROPN
ejpam-5249	383	6	simulation	simulation	PROPN
ejpam-5249	383	7	analytical	analytical	ADJ
ejpam-5249	383	8	approximation	approximation	NOUN
ejpam-5249	383	9	decreases	decrease	VERB
ejpam-5249	383	10	b	b	X
ejpam-5249	383	11	=	=	SYM
ejpam-5249	383	12	0.0005	0.0005	NUM
ejpam-5249	384	1	=	=	PUNCT
ejpam-5249	384	2	0.0001	0.0001	NUM
ejpam-5249	384	3	w	w	NOUN
ejpam-5249	384	4	=	=	NOUN
ejpam-5249	385	1	0.2	0.2	NUM
ejpam-5249	385	2	s	s	NOUN
ejpam-5249	385	3	=	=	NOUN
ejpam-5249	385	4	0.006	0.006	NUM
ejpam-5249	385	5	v	v	NOUN
ejpam-5249	385	6	=	=	SYM
ejpam-5249	385	7	0.0138	0.0138	NUM
ejpam-5249	385	8	=	=	NUM
ejpam-5249	385	9	0.5	0.5	NUM
ejpam-5249	385	10	a	a	DET
ejpam-5249	385	11	=	=	SYM
ejpam-5249	385	12	0.00001	0.00001	NUM
ejpam-5249	385	13	,	,	PUNCT
ejpam-5249	385	14	0.00002	0.00002	NUM
ejpam-5249	385	15	,	,	PUNCT
ejpam-5249	385	16	0.00003	0.00003	NUM
ejpam-5249	385	17	,	,	PUNCT
ejpam-5249	385	18	0.00005	0.00005	NUM
ejpam-5249	385	19	,	,	PUNCT
ejpam-5249	385	20	0.0001	0.0001	NUM
ejpam-5249	385	21	(	(	PUNCT
ejpam-5249	385	22	a	a	NOUN
ejpam-5249	385	23	)	)	PUNCT
ejpam-5249	385	24	0	0	NUM
ejpam-5249	385	25	20	20	NUM
ejpam-5249	385	26	40	40	NUM
ejpam-5249	385	27	60	60	NUM
ejpam-5249	385	28	80	80	NUM
ejpam-5249	385	29	100	100	NUM
ejpam-5249	385	30	120	120	NUM
ejpam-5249	385	31	time	time	NOUN
ejpam-5249	385	32	(	(	PUNCT
ejpam-5249	385	33	t	t	NOUN
ejpam-5249	385	34	)	)	PUNCT
ejpam-5249	385	35	(	(	PUNCT
ejpam-5249	385	36	days	day	NOUN
ejpam-5249	385	37	)	)	PUNCT
ejpam-5249	385	38	4.98	4.98	NUM
ejpam-5249	385	39	4.99	4.99	NUM
ejpam-5249	385	40	5	5	NUM
ejpam-5249	385	41	5.01	5.01	NUM
ejpam-5249	385	42	5.02	5.02	NUM
ejpam-5249	385	43	5.03	5.03	NUM
ejpam-5249	385	44	h	h	NOUN
ejpam-5249	385	45	ea	ea	ADP
ejpam-5249	385	46	lt	lt	PRON
ejpam-5249	385	47	h	h	PROPN
ejpam-5249	385	48	y	y	PROPN
ejpam-5249	385	49	t	t	PROPN
ejpam-5249	385	50	re	re	X
ejpam-5249	385	51	e	e	PROPN
ejpam-5249	385	52	d	d	X
ejpam-5249	385	53	en	en	X
ejpam-5249	385	54	si	si	PROPN
ejpam-5249	385	55	ty	ty	INTJ
ejpam-5249	385	56	x	x	SYM
ejpam-5249	385	57	(	(	PUNCT
ejpam-5249	385	58	t	t	PROPN
ejpam-5249	385	59	)	)	PUNCT
ejpam-5249	385	60	(	(	PUNCT
ejpam-5249	385	61	m	m	INTJ
ejpam-5249	385	62	-2	-2	NOUN
ejpam-5249	385	63	)	)	PUNCT
ejpam-5249	385	64	10	10	NUM
ejpam-5249	385	65	-3	-3	PUNCT
ejpam-5249	385	66	*	*	PUNCT
ejpam-5249	385	67	*	*	PUNCT
ejpam-5249	385	68	*	*	PUNCT
ejpam-5249	385	69	numerical	numerical	PROPN
ejpam-5249	385	70	simulation	simulation	PROPN
ejpam-5249	385	71	analytical	analytical	ADJ
ejpam-5249	385	72	approximation	approximation	NOUN
ejpam-5249	385	73	increases	increase	VERB
ejpam-5249	385	74	b	b	NOUN
ejpam-5249	385	75	=	=	SYM
ejpam-5249	385	76	0.0005	0.0005	NUM
ejpam-5249	385	77	=	=	PUNCT
ejpam-5249	385	78	0.0001	0.0001	NUM
ejpam-5249	385	79	w	w	NOUN
ejpam-5249	385	80	=	=	NOUN
ejpam-5249	385	81	0.2	0.2	NUM
ejpam-5249	385	82	a	a	DET
ejpam-5249	385	83	=	=	SYM
ejpam-5249	385	84	0.0002	0.0002	NUM
ejpam-5249	385	85	v	v	NOUN
ejpam-5249	385	86	=	=	SYM
ejpam-5249	385	87	0.0138	0.0138	NUM
ejpam-5249	385	88	=	=	SYM
ejpam-5249	385	89	0.5	0.5	NUM
ejpam-5249	385	90	s	s	NOUN
ejpam-5249	385	91	=	=	NOUN
ejpam-5249	385	92	0.006	0.006	NUM
ejpam-5249	385	93	,	,	PUNCT
ejpam-5249	385	94	0.007	0.007	NUM
ejpam-5249	385	95	,	,	PUNCT
ejpam-5249	385	96	0.008	0.008	NUM
ejpam-5249	385	97	,	,	PUNCT
ejpam-5249	385	98	0.009	0.009	NUM
ejpam-5249	385	99	,	,	PUNCT
ejpam-5249	385	100	0.01	0.01	NUM
ejpam-5249	385	101	(	(	PUNCT
ejpam-5249	385	102	b	b	NOUN
ejpam-5249	385	103	)	)	PUNCT
ejpam-5249	385	104	figure	figure	NOUN
ejpam-5249	385	105	6	6	NUM
ejpam-5249	385	106	:	:	PUNCT
ejpam-5249	385	107	graphs	graph	NOUN
ejpam-5249	385	108	of	of	ADP
ejpam-5249	385	109	the	the	DET
ejpam-5249	385	110	healthy	healthy	ADJ
ejpam-5249	385	111	tree	tree	NOUN
ejpam-5249	385	112	density	density	NOUN
ejpam-5249	385	113	x	x	PUNCT
ejpam-5249	385	114	over	over	ADP
ejpam-5249	385	115	time	time	NOUN
ejpam-5249	385	116	t	t	NOUN
ejpam-5249	385	117	with	with	ADP
ejpam-5249	385	118	the	the	DET
ejpam-5249	385	119	time	time	NOUN
ejpam-5249	385	120	delay	delay	NOUN
ejpam-5249	385	121	,	,	PUNCT
ejpam-5249	385	122	determined	determine	VERB
ejpam-5249	385	123	by	by	ADP
ejpam-5249	385	124	numerical	numerical	ADJ
ejpam-5249	385	125	simulations	simulation	NOUN
ejpam-5249	385	126	and	and	CCONJ
ejpam-5249	385	127	the	the	DET
ejpam-5249	385	128	homotopy	homotopy	NOUN
ejpam-5249	385	129	perturbation	perturbation	NOUN
ejpam-5249	385	130	method	method	NOUN
ejpam-5249	385	131	solution	solution	NOUN
ejpam-5249	385	132	.	.	PUNCT
ejpam-5249	386	1	the	the	DET
ejpam-5249	386	2	numerical	numerical	ADJ
ejpam-5249	386	3	simulations	simulation	NOUN
ejpam-5249	386	4	are	be	AUX
ejpam-5249	386	5	indicated	indicate	VERB
ejpam-5249	386	6	by	by	ADP
ejpam-5249	386	7	the	the	DET
ejpam-5249	386	8	curves	curve	NOUN
ejpam-5249	386	9	(	(	PUNCT
ejpam-5249	386	10	—	—	PUNCT
ejpam-5249	386	11	)	)	PUNCT
ejpam-5249	386	12	using	use	VERB
ejpam-5249	386	13	eq.(5	eq.(5	NOUN
ejpam-5249	386	14	)	)	PUNCT
ejpam-5249	386	15	and	and	CCONJ
ejpam-5249	386	16	the	the	DET
ejpam-5249	386	17	analyitcal	analyitcal	ADJ
ejpam-5249	386	18	solution	solution	NOUN
ejpam-5249	386	19	of	of	ADP
ejpam-5249	386	20	homotopy	homotopy	NOUN
ejpam-5249	386	21	perturbation	perturbation	NOUN
ejpam-5249	386	22	method	method	NOUN
ejpam-5249	386	23	is	be	AUX
ejpam-5249	386	24	plotted	plot	VERB
ejpam-5249	386	25	by	by	ADP
ejpam-5249	386	26	(	(	PUNCT
ejpam-5249	386	27	*	*	PUNCT
ejpam-5249	386	28	*	*	PUNCT
ejpam-5249	386	29	*	*	PUNCT
ejpam-5249	386	30	)	)	PUNCT
ejpam-5249	386	31	using	use	VERB
ejpam-5249	386	32	eq.(34	eq.(34	NOUN
ejpam-5249	386	33	)	)	PUNCT
ejpam-5249	386	34	.	.	PUNCT
ejpam-5249	387	1	b.	b.	PROPN
ejpam-5249	387	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	387	3	,	,	PUNCT
ejpam-5249	387	4	r.	r.	PROPN
ejpam-5249	387	5	senthamarai	senthamarai	PROPN
ejpam-5249	387	6	/	/	SYM
ejpam-5249	387	7	eur	eur	PROPN
ejpam-5249	387	8	.	.	PUNCT
ejpam-5249	388	1	j.	j.	PROPN
ejpam-5249	388	2	pure	pure	PROPN
ejpam-5249	388	3	appl	appl	PROPN
ejpam-5249	388	4	.	.	PROPN
ejpam-5249	388	5	math	math	PROPN
ejpam-5249	388	6	,	,	PUNCT
ejpam-5249	388	7	17	17	NUM
ejpam-5249	388	8	(	(	PUNCT
ejpam-5249	388	9	3	3	NUM
ejpam-5249	388	10	)	)	PUNCT
ejpam-5249	388	11	(	(	PUNCT
ejpam-5249	388	12	2024	2024	NUM
ejpam-5249	388	13	)	)	PUNCT
ejpam-5249	388	14	,	,	PUNCT
ejpam-5249	388	15	1908	1908	NUM
ejpam-5249	388	16	-	-	SYM
ejpam-5249	388	17	1936	1936	NUM
ejpam-5249	388	18	1926	1926	NUM
ejpam-5249	388	19	0	0	NUM
ejpam-5249	388	20	20	20	NUM
ejpam-5249	388	21	40	40	NUM
ejpam-5249	388	22	60	60	NUM
ejpam-5249	388	23	80	80	NUM
ejpam-5249	388	24	100	100	NUM
ejpam-5249	388	25	120	120	NUM
ejpam-5249	388	26	time	time	NOUN
ejpam-5249	388	27	(	(	PUNCT
ejpam-5249	388	28	t	t	NOUN
ejpam-5249	388	29	)	)	PUNCT
ejpam-5249	388	30	(	(	PUNCT
ejpam-5249	388	31	days	day	NOUN
ejpam-5249	388	32	)	)	PUNCT
ejpam-5249	388	33	7	7	NUM
ejpam-5249	388	34	7.2	7.2	NUM
ejpam-5249	388	35	7.4	7.4	NUM
ejpam-5249	388	36	7.6	7.6	NUM
ejpam-5249	388	37	7.8	7.8	NUM
ejpam-5249	388	38	8	8	NUM
ejpam-5249	388	39	8.2	8.2	NUM
ejpam-5249	388	40	8.4	8.4	NUM
ejpam-5249	388	41	8.6	8.6	NUM
ejpam-5249	388	42	8.8	8.8	NUM
ejpam-5249	388	43	9	9	NUM
ejpam-5249	388	44	10	10	NUM
ejpam-5249	388	45	-4	-4	PUNCT
ejpam-5249	388	46	in	in	ADP
ejpam-5249	388	47	fe	fe	X
ejpam-5249	389	1	ct	ct	PROPN
ejpam-5249	389	2	ed	ed	PROPN
ejpam-5249	389	3	t	t	PROPN
ejpam-5249	389	4	re	re	X
ejpam-5249	389	5	e	e	PROPN
ejpam-5249	389	6	d	d	X
ejpam-5249	389	7	en	en	X
ejpam-5249	389	8	si	si	PROPN
ejpam-5249	389	9	ty	ty	INTJ
ejpam-5249	389	10	y	y	PROPN
ejpam-5249	389	11	(	(	PUNCT
ejpam-5249	389	12	t	t	PROPN
ejpam-5249	389	13	)	)	PUNCT
ejpam-5249	389	14	(	(	PUNCT
ejpam-5249	389	15	m	m	VERB
ejpam-5249	389	16	-2	-2	NOUN
ejpam-5249	389	17	)	)	PUNCT
ejpam-5249	389	18	numerical	numerical	PROPN
ejpam-5249	389	19	simulation	simulation	PROPN
ejpam-5249	389	20	analytical	analytical	ADJ
ejpam-5249	389	21	approximation	approximation	NOUN
ejpam-5249	389	22	*	*	PUNCT
ejpam-5249	389	23	*	*	PUNCT
ejpam-5249	389	24	*	*	PUNCT
ejpam-5249	389	25	=	=	SYM
ejpam-5249	389	26	0.5	0.5	NUM
ejpam-5249	389	27	,	,	PUNCT
ejpam-5249	389	28	5	5	NUM
ejpam-5249	389	29	,	,	PUNCT
ejpam-5249	389	30	10	10	NUM
ejpam-5249	389	31	,	,	PUNCT
ejpam-5249	389	32	15	15	NUM
ejpam-5249	389	33	,	,	PUNCT
ejpam-5249	389	34	20	20	NUM
ejpam-5249	389	35	b	b	X
ejpam-5249	389	36	=	=	SYM
ejpam-5249	389	37	0.0005	0.0005	NUM
ejpam-5249	389	38	=	=	PUNCT
ejpam-5249	389	39	0.0001	0.0001	NUM
ejpam-5249	389	40	w	w	NOUN
ejpam-5249	389	41	=	=	NOUN
ejpam-5249	389	42	0.2	0.2	NUM
ejpam-5249	389	43	a	a	DET
ejpam-5249	389	44	=	=	SYM
ejpam-5249	389	45	0.0002	0.0002	NUM
ejpam-5249	389	46	v	v	NOUN
ejpam-5249	389	47	=	=	SYM
ejpam-5249	389	48	0.0138	0.0138	NUM
ejpam-5249	389	49	s=0.006	s=0.006	NOUN
ejpam-5249	389	50	increases	increase	NOUN
ejpam-5249	389	51	(	(	PUNCT
ejpam-5249	389	52	a	a	X
ejpam-5249	389	53	)	)	PUNCT
ejpam-5249	389	54	0	0	NUM
ejpam-5249	389	55	20	20	NUM
ejpam-5249	389	56	40	40	NUM
ejpam-5249	389	57	60	60	NUM
ejpam-5249	389	58	80	80	NUM
ejpam-5249	389	59	100	100	NUM
ejpam-5249	389	60	120	120	NUM
ejpam-5249	389	61	time	time	NOUN
ejpam-5249	389	62	(	(	PUNCT
ejpam-5249	389	63	t	t	NOUN
ejpam-5249	389	64	)	)	PUNCT
ejpam-5249	389	65	(	(	PUNCT
ejpam-5249	389	66	days	day	NOUN
ejpam-5249	389	67	)	)	PUNCT
ejpam-5249	389	68	7	7	NUM
ejpam-5249	389	69	7.2	7.2	NUM
ejpam-5249	389	70	7.4	7.4	NUM
ejpam-5249	389	71	7.6	7.6	NUM
ejpam-5249	389	72	7.8	7.8	NUM
ejpam-5249	389	73	8	8	NUM
ejpam-5249	389	74	8.2	8.2	NUM
ejpam-5249	389	75	8.4	8.4	NUM
ejpam-5249	389	76	8.6	8.6	NUM
ejpam-5249	389	77	8.8	8.8	NUM
ejpam-5249	389	78	10	10	NUM
ejpam-5249	389	79	-4	-4	PUNCT
ejpam-5249	389	80	in	in	ADP
ejpam-5249	389	81	fe	fe	X
ejpam-5249	390	1	ct	ct	PROPN
ejpam-5249	390	2	ed	ed	PROPN
ejpam-5249	390	3	t	t	PROPN
ejpam-5249	390	4	re	re	X
ejpam-5249	390	5	e	e	PROPN
ejpam-5249	390	6	d	d	X
ejpam-5249	390	7	en	en	X
ejpam-5249	390	8	si	si	PROPN
ejpam-5249	390	9	ty	ty	INTJ
ejpam-5249	390	10	y	y	PROPN
ejpam-5249	390	11	(	(	PUNCT
ejpam-5249	390	12	t	t	PROPN
ejpam-5249	390	13	)	)	PUNCT
ejpam-5249	390	14	(	(	PUNCT
ejpam-5249	390	15	m	m	INTJ
ejpam-5249	390	16	-2	-2	NOUN
ejpam-5249	390	17	)	)	PUNCT
ejpam-5249	391	1	*	*	PUNCT
ejpam-5249	392	1	*	*	PUNCT
ejpam-5249	393	1	*	*	PUNCT
ejpam-5249	394	1	*	*	PUNCT
ejpam-5249	394	2	*	*	PUNCT
ejpam-5249	395	1	*	*	PUNCT
ejpam-5249	395	2	*	*	PUNCT
ejpam-5249	396	1	*	*	PUNCT
ejpam-5249	397	1	*	*	PUNCT
ejpam-5249	398	1	*	*	PUNCT
ejpam-5249	399	1	*	*	PUNCT
ejpam-5249	399	2	*	*	PUNCT
ejpam-5249	400	1	*	*	PUNCT
ejpam-5249	400	2	*	*	PUNCT
ejpam-5249	401	1	*	*	PUNCT
ejpam-5249	401	2	*	*	PUNCT
ejpam-5249	401	3	*	*	PUNCT
ejpam-5249	401	4	*	*	PUNCT
ejpam-5249	402	1	*	*	PUNCT
ejpam-5249	403	1	*	*	PUNCT
ejpam-5249	403	2	*	*	PUNCT
ejpam-5249	404	1	*	*	PUNCT
ejpam-5249	405	1	*	*	PUNCT
ejpam-5249	405	2	*	*	PUNCT
ejpam-5249	406	1	*	*	PUNCT
ejpam-5249	406	2	*	*	PUNCT
ejpam-5249	406	3	*	*	PUNCT
ejpam-5249	406	4	*	*	PUNCT
ejpam-5249	406	5	decreases	decreases	PROPN
ejpam-5249	406	6	numerical	numerical	PROPN
ejpam-5249	406	7	simulation	simulation	PROPN
ejpam-5249	406	8	analytical	analytical	ADJ
ejpam-5249	406	9	approximation	approximation	NOUN
ejpam-5249	406	10	*	*	PUNCT
ejpam-5249	406	11	*	*	PUNCT
ejpam-5249	406	12	*	*	PUNCT
ejpam-5249	406	13	b	b	X
ejpam-5249	407	1	=	=	SYM
ejpam-5249	407	2	0.0005	0.0005	NUM
ejpam-5249	407	3	s	s	NOUN
ejpam-5249	407	4	=	=	NOUN
ejpam-5249	407	5	0.006	0.006	NUM
ejpam-5249	407	6	w	w	NOUN
ejpam-5249	407	7	=	=	NOUN
ejpam-5249	407	8	0.2	0.2	NUM
ejpam-5249	407	9	a	a	DET
ejpam-5249	407	10	=	=	SYM
ejpam-5249	407	11	0.0002	0.0002	NUM
ejpam-5249	407	12	v	v	NOUN
ejpam-5249	407	13	=	=	SYM
ejpam-5249	407	14	0.0138	0.0138	NUM
ejpam-5249	407	15	=	=	SYM
ejpam-5249	407	16	0.5	0.5	NUM
ejpam-5249	407	17	=	=	SYM
ejpam-5249	407	18	0.00001	0.00001	NUM
ejpam-5249	407	19	,	,	PUNCT
ejpam-5249	407	20	0.0002	0.0002	NUM
ejpam-5249	407	21	,	,	PUNCT
ejpam-5249	407	22	0.0005	0.0005	NUM
ejpam-5249	407	23	,	,	PUNCT
ejpam-5249	407	24	0.0008	0.0008	NUM
ejpam-5249	407	25	,	,	PUNCT
ejpam-5249	407	26	0.001	0.001	NUM
ejpam-5249	407	27	(	(	PUNCT
ejpam-5249	407	28	b	b	NOUN
ejpam-5249	407	29	)	)	PUNCT
ejpam-5249	407	30	0	0	NUM
ejpam-5249	407	31	20	20	NUM
ejpam-5249	407	32	40	40	NUM
ejpam-5249	407	33	60	60	NUM
ejpam-5249	407	34	80	80	NUM
ejpam-5249	407	35	100	100	NUM
ejpam-5249	407	36	120	120	NUM
ejpam-5249	407	37	time	time	NOUN
ejpam-5249	407	38	(	(	PUNCT
ejpam-5249	407	39	t	t	NOUN
ejpam-5249	407	40	)	)	PUNCT
ejpam-5249	407	41	(	(	PUNCT
ejpam-5249	407	42	days	day	NOUN
ejpam-5249	407	43	)	)	PUNCT
ejpam-5249	407	44	0.7	0.7	NUM
ejpam-5249	407	45	0.8	0.8	NUM
ejpam-5249	407	46	0.9	0.9	NUM
ejpam-5249	407	47	1	1	NUM
ejpam-5249	407	48	1.1	1.1	NUM
ejpam-5249	407	49	1.2	1.2	NUM
ejpam-5249	407	50	1.3	1.3	NUM
ejpam-5249	407	51	1.4	1.4	NUM
ejpam-5249	407	52	1.5	1.5	NUM
ejpam-5249	407	53	in	in	ADP
ejpam-5249	407	54	fe	fe	X
ejpam-5249	408	1	ct	ct	PROPN
ejpam-5249	408	2	ed	ed	PROPN
ejpam-5249	408	3	t	t	PROPN
ejpam-5249	408	4	re	re	X
ejpam-5249	408	5	e	e	PROPN
ejpam-5249	408	6	d	d	X
ejpam-5249	408	7	en	en	X
ejpam-5249	408	8	si	si	PROPN
ejpam-5249	408	9	ty	ty	INTJ
ejpam-5249	408	10	y	y	PROPN
ejpam-5249	408	11	(	(	PUNCT
ejpam-5249	408	12	t	t	PROPN
ejpam-5249	408	13	)	)	PUNCT
ejpam-5249	408	14	(	(	PUNCT
ejpam-5249	408	15	m	m	INTJ
ejpam-5249	408	16	-2	-2	NOUN
ejpam-5249	408	17	)	)	PUNCT
ejpam-5249	408	18	10	10	NUM
ejpam-5249	408	19	-3	-3	PUNCT
ejpam-5249	408	20	*	*	PUNCT
ejpam-5249	408	21	*	*	PUNCT
ejpam-5249	408	22	*	*	PUNCT
ejpam-5249	408	23	increases	increase	VERB
ejpam-5249	408	24	numerical	numerical	PROPN
ejpam-5249	408	25	simulation	simulation	PROPN
ejpam-5249	408	26	analytical	analytical	ADJ
ejpam-5249	408	27	approximation	approximation	NOUN
ejpam-5249	408	28	a	a	DET
ejpam-5249	408	29	=	=	SYM
ejpam-5249	408	30	0.00015	0.00015	NUM
ejpam-5249	408	31	,	,	PUNCT
ejpam-5249	408	32	0.00011	0.00011	NUM
ejpam-5249	408	33	,	,	PUNCT
ejpam-5249	408	34	0.00010	0.00010	NUM
ejpam-5249	408	35	,	,	PUNCT
ejpam-5249	408	36	0.003	0.003	NUM
ejpam-5249	408	37	,	,	PUNCT
ejpam-5249	408	38	0.002	0.002	NUM
ejpam-5249	408	39	b	b	X
ejpam-5249	409	1	=	=	SYM
ejpam-5249	409	2	0.0005	0.0005	NUM
ejpam-5249	409	3	=	=	PUNCT
ejpam-5249	409	4	0.0001	0.0001	NUM
ejpam-5249	409	5	w	w	NOUN
ejpam-5249	409	6	=	=	NOUN
ejpam-5249	409	7	0.2	0.2	NUM
ejpam-5249	409	8	s	s	NOUN
ejpam-5249	409	9	=	=	NOUN
ejpam-5249	409	10	0.006	0.006	NUM
ejpam-5249	409	11	v	v	NOUN
ejpam-5249	409	12	=	=	SYM
ejpam-5249	409	13	0.0138	0.0138	NUM
ejpam-5249	409	14	=	=	SYM
ejpam-5249	409	15	0.5	0.5	NUM
ejpam-5249	409	16	(	(	PUNCT
ejpam-5249	409	17	c	c	NOUN
ejpam-5249	409	18	)	)	PUNCT
ejpam-5249	409	19	0	0	NUM
ejpam-5249	409	20	20	20	NUM
ejpam-5249	409	21	40	40	NUM
ejpam-5249	409	22	60	60	NUM
ejpam-5249	409	23	80	80	NUM
ejpam-5249	409	24	100	100	NUM
ejpam-5249	409	25	120	120	NUM
ejpam-5249	409	26	time	time	NOUN
ejpam-5249	409	27	(	(	PUNCT
ejpam-5249	409	28	t	t	NOUN
ejpam-5249	409	29	)	)	PUNCT
ejpam-5249	409	30	(	(	PUNCT
ejpam-5249	409	31	days	day	NOUN
ejpam-5249	409	32	)	)	PUNCT
ejpam-5249	409	33	7	7	NUM
ejpam-5249	409	34	7.2	7.2	NUM
ejpam-5249	409	35	7.4	7.4	NUM
ejpam-5249	409	36	7.6	7.6	NUM
ejpam-5249	409	37	7.8	7.8	NUM
ejpam-5249	409	38	8	8	NUM
ejpam-5249	409	39	8.2	8.2	NUM
ejpam-5249	409	40	8.4	8.4	NUM
ejpam-5249	409	41	8.6	8.6	NUM
ejpam-5249	409	42	8.8	8.8	NUM
ejpam-5249	409	43	10	10	NUM
ejpam-5249	409	44	-4	-4	PUNCT
ejpam-5249	409	45	in	in	ADP
ejpam-5249	409	46	fe	fe	X
ejpam-5249	410	1	ct	ct	PROPN
ejpam-5249	410	2	ed	ed	PROPN
ejpam-5249	410	3	t	t	PROPN
ejpam-5249	410	4	re	re	X
ejpam-5249	410	5	e	e	PROPN
ejpam-5249	410	6	d	d	X
ejpam-5249	410	7	en	en	X
ejpam-5249	410	8	si	si	PROPN
ejpam-5249	410	9	ty	ty	INTJ
ejpam-5249	410	10	y	y	PROPN
ejpam-5249	410	11	(	(	PUNCT
ejpam-5249	410	12	t	t	PROPN
ejpam-5249	410	13	)	)	PUNCT
ejpam-5249	410	14	(	(	PUNCT
ejpam-5249	410	15	m	m	VERB
ejpam-5249	410	16	-2	-2	NOUN
ejpam-5249	410	17	)	)	PUNCT
ejpam-5249	410	18	s	s	PART
ejpam-5249	411	1	=	=	NOUN
ejpam-5249	411	2	0.006	0.006	NUM
ejpam-5249	411	3	,	,	PUNCT
ejpam-5249	411	4	0.007	0.007	NUM
ejpam-5249	411	5	,	,	PUNCT
ejpam-5249	411	6	0.008	0.008	NUM
ejpam-5249	411	7	,	,	PUNCT
ejpam-5249	411	8	0.009	0.009	NUM
ejpam-5249	411	9	,	,	PUNCT
ejpam-5249	411	10	0.01	0.01	NUM
ejpam-5249	411	11	*	*	PUNCT
ejpam-5249	411	12	*	*	PUNCT
ejpam-5249	411	13	*	*	PUNCT
ejpam-5249	411	14	numerical	numerical	PROPN
ejpam-5249	411	15	simulation	simulation	PROPN
ejpam-5249	411	16	analytical	analytical	ADJ
ejpam-5249	411	17	approximation	approximation	NOUN
ejpam-5249	411	18	decreases	decrease	VERB
ejpam-5249	411	19	b	b	X
ejpam-5249	411	20	=	=	SYM
ejpam-5249	411	21	0.0005	0.0005	NUM
ejpam-5249	411	22	=	=	PUNCT
ejpam-5249	411	23	0.0001	0.0001	NUM
ejpam-5249	411	24	w	w	NOUN
ejpam-5249	411	25	=	=	NOUN
ejpam-5249	411	26	0.2	0.2	NUM
ejpam-5249	411	27	a	a	DET
ejpam-5249	411	28	=	=	SYM
ejpam-5249	411	29	0.0002	0.0002	NUM
ejpam-5249	411	30	v	v	NOUN
ejpam-5249	411	31	=	=	SYM
ejpam-5249	411	32	0.0138	0.0138	NUM
ejpam-5249	411	33	=	=	SYM
ejpam-5249	411	34	0.5	0.5	NUM
ejpam-5249	411	35	(	(	PUNCT
ejpam-5249	411	36	d	d	NOUN
ejpam-5249	411	37	)	)	PUNCT
ejpam-5249	411	38	figure	figure	NOUN
ejpam-5249	411	39	7	7	NUM
ejpam-5249	411	40	:	:	PUNCT
ejpam-5249	411	41	graphs	graph	NOUN
ejpam-5249	411	42	of	of	ADP
ejpam-5249	411	43	the	the	DET
ejpam-5249	411	44	infected	infect	VERB
ejpam-5249	411	45	tree	tree	NOUN
ejpam-5249	411	46	density	density	NOUN
ejpam-5249	411	47	y	y	PROPN
ejpam-5249	411	48	over	over	ADP
ejpam-5249	411	49	time	time	NOUN
ejpam-5249	411	50	t	t	NOUN
ejpam-5249	411	51	with	with	ADP
ejpam-5249	411	52	the	the	DET
ejpam-5249	411	53	time	time	NOUN
ejpam-5249	411	54	delay	delay	NOUN
ejpam-5249	411	55	,	,	PUNCT
ejpam-5249	411	56	determined	determine	VERB
ejpam-5249	411	57	by	by	ADP
ejpam-5249	411	58	numerical	numerical	ADJ
ejpam-5249	411	59	simulations	simulation	NOUN
ejpam-5249	411	60	and	and	CCONJ
ejpam-5249	411	61	the	the	DET
ejpam-5249	411	62	homotopy	homotopy	NOUN
ejpam-5249	411	63	perturbation	perturbation	NOUN
ejpam-5249	411	64	method	method	NOUN
ejpam-5249	411	65	solution	solution	NOUN
ejpam-5249	411	66	.	.	PUNCT
ejpam-5249	412	1	the	the	DET
ejpam-5249	412	2	numerical	numerical	ADJ
ejpam-5249	412	3	simulations	simulation	NOUN
ejpam-5249	412	4	are	be	AUX
ejpam-5249	412	5	showed	show	VERB
ejpam-5249	412	6	by	by	ADP
ejpam-5249	412	7	the	the	DET
ejpam-5249	412	8	curves	curve	NOUN
ejpam-5249	412	9	(	(	PUNCT
ejpam-5249	412	10	—	—	PUNCT
ejpam-5249	412	11	)	)	PUNCT
ejpam-5249	412	12	using	use	VERB
ejpam-5249	412	13	eq.(6	eq.(6	NOUN
ejpam-5249	412	14	)	)	PUNCT
ejpam-5249	412	15	and	and	CCONJ
ejpam-5249	412	16	the	the	DET
ejpam-5249	412	17	analyitcal	analyitcal	ADJ
ejpam-5249	412	18	solution	solution	NOUN
ejpam-5249	412	19	of	of	ADP
ejpam-5249	412	20	homotopy	homotopy	NOUN
ejpam-5249	412	21	perturbation	perturbation	NOUN
ejpam-5249	412	22	method	method	NOUN
ejpam-5249	412	23	is	be	AUX
ejpam-5249	412	24	plotted	plot	VERB
ejpam-5249	412	25	by	by	ADP
ejpam-5249	412	26	(	(	PUNCT
ejpam-5249	412	27	*	*	PUNCT
ejpam-5249	412	28	*	*	PUNCT
ejpam-5249	412	29	*	*	PUNCT
ejpam-5249	412	30	)	)	PUNCT
ejpam-5249	412	31	using	use	VERB
ejpam-5249	412	32	eq.(35	eq.(35	NOUN
ejpam-5249	412	33	)	)	PUNCT
ejpam-5249	412	34	.	.	PUNCT
ejpam-5249	413	1	b.	b.	PROPN
ejpam-5249	413	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	413	3	,	,	PUNCT
ejpam-5249	413	4	r.	r.	PROPN
ejpam-5249	413	5	senthamarai	senthamarai	PROPN
ejpam-5249	413	6	/	/	SYM
ejpam-5249	413	7	eur	eur	PROPN
ejpam-5249	413	8	.	.	PUNCT
ejpam-5249	414	1	j.	j.	PROPN
ejpam-5249	414	2	pure	pure	PROPN
ejpam-5249	414	3	appl	appl	PROPN
ejpam-5249	414	4	.	.	PROPN
ejpam-5249	414	5	math	math	PROPN
ejpam-5249	414	6	,	,	PUNCT
ejpam-5249	414	7	17	17	NUM
ejpam-5249	414	8	(	(	PUNCT
ejpam-5249	414	9	3	3	NUM
ejpam-5249	414	10	)	)	PUNCT
ejpam-5249	414	11	(	(	PUNCT
ejpam-5249	414	12	2024	2024	NUM
ejpam-5249	414	13	)	)	PUNCT
ejpam-5249	414	14	,	,	PUNCT
ejpam-5249	414	15	1908	1908	NUM
ejpam-5249	414	16	-	-	SYM
ejpam-5249	414	17	1936	1936	NUM
ejpam-5249	414	18	1927	1927	NUM
ejpam-5249	414	19	0	0	NUM
ejpam-5249	414	20	20	20	NUM
ejpam-5249	414	21	40	40	NUM
ejpam-5249	414	22	60	60	NUM
ejpam-5249	414	23	80	80	NUM
ejpam-5249	414	24	100	100	NUM
ejpam-5249	414	25	120	120	NUM
ejpam-5249	414	26	time	time	NOUN
ejpam-5249	414	27	(	(	PUNCT
ejpam-5249	414	28	t	t	NOUN
ejpam-5249	414	29	)	)	PUNCT
ejpam-5249	414	30	(	(	PUNCT
ejpam-5249	414	31	days	day	NOUN
ejpam-5249	414	32	)	)	PUNCT
ejpam-5249	414	33	0.8	0.8	NUM
ejpam-5249	414	34	1	1	NUM
ejpam-5249	414	35	1.2	1.2	NUM
ejpam-5249	414	36	1.4	1.4	NUM
ejpam-5249	414	37	1.6	1.6	NUM
ejpam-5249	414	38	1.8	1.8	NUM
ejpam-5249	414	39	2	2	NUM
ejpam-5249	414	40	w	w	NOUN
ejpam-5249	414	41	h	h	NOUN
ejpam-5249	415	1	it	it	PRON
ejpam-5249	415	2	ef	ef	VERB
ejpam-5249	415	3	ly	ly	X
ejpam-5249	416	1	d	d	X
ejpam-5249	416	2	en	en	X
ejpam-5249	416	3	si	si	INTJ
ejpam-5249	416	4	ty	ty	INTJ
ejpam-5249	416	5	c	c	PROPN
ejpam-5249	416	6	(	(	PUNCT
ejpam-5249	416	7	t	t	PROPN
ejpam-5249	416	8	)	)	PUNCT
ejpam-5249	416	9	(	(	PUNCT
ejpam-5249	416	10	m	m	VERB
ejpam-5249	416	11	-2	-2	NOUN
ejpam-5249	416	12	)	)	PUNCT
ejpam-5249	417	1	numerical	numerical	PROPN
ejpam-5249	417	2	simulation	simulation	PROPN
ejpam-5249	417	3	analytical	analytical	ADJ
ejpam-5249	417	4	approximation	approximation	NOUN
ejpam-5249	417	5	*	*	PUNCT
ejpam-5249	417	6	*	*	PUNCT
ejpam-5249	417	7	*	*	PUNCT
ejpam-5249	418	1	*	*	PUNCT
ejpam-5249	419	1	*	*	PUNCT
ejpam-5249	420	1	*	*	PUNCT
ejpam-5249	421	1	*	*	PUNCT
ejpam-5249	422	1	*	*	PUNCT
ejpam-5249	423	1	*	*	PUNCT
ejpam-5249	424	1	*	*	PUNCT
ejpam-5249	425	1	*	*	PUNCT
ejpam-5249	425	2	*	*	PUNCT
ejpam-5249	426	1	*	*	PUNCT
ejpam-5249	426	2	*	*	PUNCT
ejpam-5249	426	3	*	*	PUNCT
ejpam-5249	426	4	b	b	X
ejpam-5249	426	5	=	=	SYM
ejpam-5249	426	6	0.0005	0.0005	NUM
ejpam-5249	426	7	=	=	PUNCT
ejpam-5249	426	8	0.0001	0.0001	NUM
ejpam-5249	426	9	s	s	NOUN
ejpam-5249	426	10	=	=	NOUN
ejpam-5249	426	11	0.006	0.006	NUM
ejpam-5249	426	12	a	a	PRON
ejpam-5249	426	13	=	=	NUM
ejpam-5249	426	14	0.0002	0.0002	NUM
ejpam-5249	426	15	v	v	NOUN
ejpam-5249	426	16	=	=	SYM
ejpam-5249	426	17	0.0138	0.0138	NUM
ejpam-5249	426	18	=	=	SYM
ejpam-5249	426	19	0.5	0.5	NUM
ejpam-5249	426	20	w	w	NOUN
ejpam-5249	426	21	=	=	NOUN
ejpam-5249	426	22	0.1,0.5,1.0,2.0,2.5	0.1,0.5,1.0,2.0,2.5	NOUN
ejpam-5249	426	23	increases	increase	NOUN
ejpam-5249	426	24	(	(	PUNCT
ejpam-5249	426	25	a	a	X
ejpam-5249	426	26	)	)	PUNCT
ejpam-5249	426	27	0	0	NUM
ejpam-5249	426	28	20	20	NUM
ejpam-5249	426	29	40	40	NUM
ejpam-5249	426	30	60	60	NUM
ejpam-5249	426	31	80	80	NUM
ejpam-5249	426	32	100	100	NUM
ejpam-5249	426	33	120	120	NUM
ejpam-5249	426	34	time	time	NOUN
ejpam-5249	426	35	(	(	PUNCT
ejpam-5249	426	36	t	t	NOUN
ejpam-5249	426	37	)	)	PUNCT
ejpam-5249	426	38	(	(	PUNCT
ejpam-5249	426	39	days	day	NOUN
ejpam-5249	426	40	)	)	PUNCT
ejpam-5249	426	41	0.6	0.6	NUM
ejpam-5249	426	42	0.8	0.8	NUM
ejpam-5249	426	43	1	1	NUM
ejpam-5249	426	44	1.2	1.2	NUM
ejpam-5249	426	45	1.4	1.4	NUM
ejpam-5249	426	46	1.6	1.6	NUM
ejpam-5249	426	47	1.8	1.8	NUM
ejpam-5249	426	48	2	2	NUM
ejpam-5249	426	49	w	w	NOUN
ejpam-5249	426	50	h	h	NOUN
ejpam-5249	426	51	it	it	PRON
ejpam-5249	426	52	ef	ef	VERB
ejpam-5249	426	53	ly	ly	X
ejpam-5249	427	1	d	d	X
ejpam-5249	427	2	en	en	X
ejpam-5249	427	3	si	si	INTJ
ejpam-5249	427	4	ty	ty	INTJ
ejpam-5249	427	5	c	c	PROPN
ejpam-5249	427	6	(	(	PUNCT
ejpam-5249	427	7	t	t	PROPN
ejpam-5249	427	8	)	)	PUNCT
ejpam-5249	427	9	(	(	PUNCT
ejpam-5249	427	10	m	m	VERB
ejpam-5249	427	11	-2	-2	NOUN
ejpam-5249	427	12	)	)	PUNCT
ejpam-5249	427	13	s	s	PART
ejpam-5249	428	1	=	=	NOUN
ejpam-5249	428	2	0.006	0.006	NUM
ejpam-5249	428	3	,	,	PUNCT
ejpam-5249	428	4	0.007	0.007	NUM
ejpam-5249	428	5	,	,	PUNCT
ejpam-5249	428	6	0.008	0.008	NUM
ejpam-5249	428	7	,	,	PUNCT
ejpam-5249	428	8	0.009	0.009	NUM
ejpam-5249	428	9	,	,	PUNCT
ejpam-5249	428	10	0.01	0.01	NUM
ejpam-5249	428	11	*	*	PUNCT
ejpam-5249	428	12	*	*	PUNCT
ejpam-5249	428	13	*	*	PUNCT
ejpam-5249	428	14	numerical	numerical	PROPN
ejpam-5249	428	15	simulation	simulation	PROPN
ejpam-5249	428	16	analytical	analytical	ADJ
ejpam-5249	428	17	approximation	approximation	NOUN
ejpam-5249	428	18	decreases	decrease	VERB
ejpam-5249	428	19	b	b	X
ejpam-5249	428	20	=	=	SYM
ejpam-5249	428	21	0.0005	0.0005	NUM
ejpam-5249	428	22	=	=	PUNCT
ejpam-5249	428	23	0.0001	0.0001	NUM
ejpam-5249	428	24	w	w	NOUN
ejpam-5249	428	25	=	=	NOUN
ejpam-5249	428	26	0.2	0.2	NUM
ejpam-5249	428	27	a	a	DET
ejpam-5249	428	28	=	=	SYM
ejpam-5249	428	29	0.0002	0.0002	NUM
ejpam-5249	428	30	v	v	NOUN
ejpam-5249	428	31	=	=	SYM
ejpam-5249	428	32	0.0138	0.0138	NUM
ejpam-5249	428	33	=	=	SYM
ejpam-5249	428	34	0.5	0.5	NUM
ejpam-5249	428	35	(	(	PUNCT
ejpam-5249	428	36	b	b	NOUN
ejpam-5249	428	37	)	)	PUNCT
ejpam-5249	428	38	figure	figure	NOUN
ejpam-5249	428	39	8	8	NUM
ejpam-5249	428	40	:	:	PUNCT
ejpam-5249	428	41	graphs	graph	NOUN
ejpam-5249	428	42	of	of	ADP
ejpam-5249	428	43	the	the	DET
ejpam-5249	428	44	whitefly	whitefly	ADJ
ejpam-5249	428	45	density	density	NOUN
ejpam-5249	428	46	c	c	NOUN
ejpam-5249	428	47	over	over	ADP
ejpam-5249	428	48	time	time	NOUN
ejpam-5249	428	49	t	t	NOUN
ejpam-5249	428	50	with	with	ADP
ejpam-5249	428	51	the	the	DET
ejpam-5249	428	52	time	time	NOUN
ejpam-5249	428	53	delay	delay	NOUN
ejpam-5249	428	54	,	,	PUNCT
ejpam-5249	428	55	determined	determine	VERB
ejpam-5249	428	56	by	by	ADP
ejpam-5249	428	57	numerical	numerical	ADJ
ejpam-5249	428	58	simulations	simulation	NOUN
ejpam-5249	428	59	and	and	CCONJ
ejpam-5249	428	60	the	the	DET
ejpam-5249	428	61	homotopy	homotopy	NOUN
ejpam-5249	428	62	perturbation	perturbation	NOUN
ejpam-5249	428	63	method	method	NOUN
ejpam-5249	428	64	solution	solution	NOUN
ejpam-5249	428	65	.	.	PUNCT
ejpam-5249	429	1	the	the	DET
ejpam-5249	429	2	numerical	numerical	ADJ
ejpam-5249	429	3	simulations	simulation	NOUN
ejpam-5249	429	4	are	be	AUX
ejpam-5249	429	5	indicated	indicate	VERB
ejpam-5249	429	6	by	by	ADP
ejpam-5249	429	7	the	the	DET
ejpam-5249	429	8	curves	curve	NOUN
ejpam-5249	429	9	(	(	PUNCT
ejpam-5249	429	10	—	—	PUNCT
ejpam-5249	429	11	)	)	PUNCT
ejpam-5249	429	12	using	use	VERB
ejpam-5249	429	13	eq.(7	eq.(7	NOUN
ejpam-5249	429	14	)	)	PUNCT
ejpam-5249	429	15	and	and	CCONJ
ejpam-5249	429	16	the	the	DET
ejpam-5249	429	17	analyitcal	analyitcal	ADJ
ejpam-5249	429	18	solution	solution	NOUN
ejpam-5249	429	19	of	of	ADP
ejpam-5249	429	20	homotopy	homotopy	NOUN
ejpam-5249	429	21	perturbation	perturbation	NOUN
ejpam-5249	429	22	method	method	NOUN
ejpam-5249	429	23	is	be	AUX
ejpam-5249	429	24	plotted	plot	VERB
ejpam-5249	429	25	by	by	ADP
ejpam-5249	429	26	(	(	PUNCT
ejpam-5249	429	27	*	*	PUNCT
ejpam-5249	429	28	*	*	PUNCT
ejpam-5249	429	29	*	*	PUNCT
ejpam-5249	429	30	)	)	PUNCT
ejpam-5249	429	31	using	use	VERB
ejpam-5249	429	32	eq.(36	eq.(36	NOUN
ejpam-5249	429	33	)	)	PUNCT
ejpam-5249	429	34	.	.	PUNCT
ejpam-5249	430	1	9	9	X
ejpam-5249	430	2	.	.	NUM
ejpam-5249	430	3	approximate	approximate	ADJ
ejpam-5249	430	4	analytical	analytical	ADJ
ejpam-5249	430	5	solution	solution	NOUN
ejpam-5249	430	6	of	of	ADP
ejpam-5249	430	7	ode	ode	NOUN
ejpam-5249	430	8	by	by	ADP
ejpam-5249	430	9	using	use	VERB
ejpam-5249	430	10	homotopy	homotopy	NOUN
ejpam-5249	430	11	perturbation	perturbation	NOUN
ejpam-5249	430	12	method	method	NOUN
ejpam-5249	430	13	the	the	DET
ejpam-5249	430	14	analytical	analytical	ADJ
ejpam-5249	430	15	solutions	solution	NOUN
ejpam-5249	430	16	of	of	ADP
ejpam-5249	430	17	the	the	DET
ejpam-5249	430	18	system	system	NOUN
ejpam-5249	430	19	of	of	ADP
ejpam-5249	430	20	ode	ode	PROPN
ejpam-5249	430	21	eqs.(1	eqs.(1	PROPN
ejpam-5249	430	22	)	)	PUNCT
ejpam-5249	430	23	−	−	PROPN
ejpam-5249	430	24	(	(	PUNCT
ejpam-5249	430	25	3	3	X
ejpam-5249	430	26	)	)	PUNCT
ejpam-5249	430	27	using	use	VERB
ejpam-5249	430	28	homotopy	homotopy	NOUN
ejpam-5249	430	29	perturbation	perturbation	NOUN
ejpam-5249	430	30	method	method	NOUN
ejpam-5249	430	31	.	.	PUNCT
ejpam-5249	431	1	linear	linear	ADJ
ejpam-5249	431	2	and	and	CCONJ
ejpam-5249	431	3	non	non	ADJ
ejpam-5249	431	4	-	-	ADJ
ejpam-5249	431	5	linear	linear	ADJ
ejpam-5249	431	6	terms	term	NOUN
ejpam-5249	431	7	in	in	ADP
ejpam-5249	431	8	the	the	DET
ejpam-5249	431	9	given	give	VERB
ejpam-5249	431	10	equation	equation	NOUN
ejpam-5249	431	11	can	can	AUX
ejpam-5249	431	12	be	be	AUX
ejpam-5249	431	13	separated	separate	VERB
ejpam-5249	431	14	by	by	ADP
ejpam-5249	431	15	using	use	VERB
ejpam-5249	431	16	homotopy	homotopy	NOUN
ejpam-5249	431	17	perturbation	perturbation	NOUN
ejpam-5249	431	18	method	method	NOUN
ejpam-5249	431	19	theory	theory	NOUN
ejpam-5249	431	20	.	.	PUNCT
ejpam-5249	432	1	[	[	X
ejpam-5249	432	2	1−p	1−p	X
ejpam-5249	432	3	]	]	X
ejpam-5249	432	4	[	[	PUNCT
ejpam-5249	432	5	dx	dx	X
ejpam-5249	432	6	dt	dt	X
ejpam-5249	432	7	−bx	−bx	X
ejpam-5249	432	8	]	]	X
ejpam-5249	433	1	+	+	PUNCT
ejpam-5249	433	2	p	p	X
ejpam-5249	433	3	[	[	PUNCT
ejpam-5249	433	4	dx	dx	PROPN
ejpam-5249	433	5	dt	dt	X
ejpam-5249	433	6	−bx	−bx	PROPN
ejpam-5249	434	1	+	+	CCONJ
ejpam-5249	434	2	1	1	NUM
ejpam-5249	434	3	v	v	NOUN
ejpam-5249	434	4	(	(	PUNCT
ejpam-5249	434	5	bx2	bx2	NOUN
ejpam-5249	434	6	+	+	NOUN
ejpam-5249	434	7	bxy	bxy	NOUN
ejpam-5249	434	8	)	)	PUNCT
ejpam-5249	435	1	+	+	ADP
ejpam-5249	435	2	axc	axc	NOUN
ejpam-5249	435	3	]	]	X
ejpam-5249	435	4	=	=	SYM
ejpam-5249	435	5	0	0	PUNCT
ejpam-5249	435	6	(	(	PUNCT
ejpam-5249	435	7	37	37	NUM
ejpam-5249	435	8	)	)	PUNCT
ejpam-5249	436	1	[	[	X
ejpam-5249	436	2	1−p	1−p	X
ejpam-5249	436	3	]	]	X
ejpam-5249	436	4	[	[	PUNCT
ejpam-5249	436	5	dy	dy	X
ejpam-5249	436	6	dt	dt	X
ejpam-5249	436	7	+	+	PROPN
ejpam-5249	436	8	µy	µy	X
ejpam-5249	436	9	]	]	PUNCT
ejpam-5249	437	1	+	+	PUNCT
ejpam-5249	437	2	p	p	X
ejpam-5249	437	3	[	[	PUNCT
ejpam-5249	437	4	dy	dy	X
ejpam-5249	437	5	dt	dt	NOUN
ejpam-5249	437	6	+	+	PROPN
ejpam-5249	437	7	µy	µy	VERB
ejpam-5249	437	8	−axc	−axc	NOUN
ejpam-5249	437	9	]	]	PUNCT
ejpam-5249	437	10	=	=	SYM
ejpam-5249	437	11	0	0	PUNCT
ejpam-5249	437	12	(	(	PUNCT
ejpam-5249	437	13	38	38	NUM
ejpam-5249	437	14	)	)	PUNCT
ejpam-5249	438	1	[	[	X
ejpam-5249	438	2	1−p	1−p	X
ejpam-5249	438	3	]	]	X
ejpam-5249	438	4	[	[	PUNCT
ejpam-5249	438	5	dc	dc	X
ejpam-5249	438	6	dt	dt	X
ejpam-5249	438	7	+	+	CCONJ
ejpam-5249	438	8	sc	sc	X
ejpam-5249	438	9	]	]	PUNCT
ejpam-5249	439	1	+	+	PUNCT
ejpam-5249	439	2	p	p	X
ejpam-5249	439	3	[	[	PUNCT
ejpam-5249	439	4	dc	dc	X
ejpam-5249	439	5	dt	dt	X
ejpam-5249	439	6	+	+	CCONJ
ejpam-5249	439	7	sc−wy	sc−wy	X
ejpam-5249	439	8	]	]	PUNCT
ejpam-5249	439	9	=	=	SYM
ejpam-5249	439	10	0	0	PUNCT
ejpam-5249	439	11	(	(	PUNCT
ejpam-5249	439	12	39	39	NUM
ejpam-5249	439	13	)	)	PUNCT
ejpam-5249	439	14	and	and	CCONJ
ejpam-5249	439	15	the	the	DET
ejpam-5249	439	16	initial	initial	ADJ
ejpam-5249	439	17	conditions	condition	NOUN
ejpam-5249	439	18	are	be	AUX
ejpam-5249	439	19	as	as	SCONJ
ejpam-5249	439	20	follows	follow	VERB
ejpam-5249	439	21	,	,	PUNCT
ejpam-5249	439	22	x0(0	x0(0	PROPN
ejpam-5249	439	23	)	)	PUNCT
ejpam-5249	440	1	=	=	SYM
ejpam-5249	440	2	l	l	NOUN
ejpam-5249	440	3	,	,	PUNCT
ejpam-5249	440	4	y0(0	y0(0	PROPN
ejpam-5249	440	5	)	)	PUNCT
ejpam-5249	441	1	=	=	PUNCT
ejpam-5249	441	2	m	m	PROPN
ejpam-5249	441	3	,	,	PUNCT
ejpam-5249	441	4	c0(0	c0(0	PROPN
ejpam-5249	441	5	)	)	PUNCT
ejpam-5249	441	6	=	=	PUNCT
ejpam-5249	442	1	n.	n.	NOUN
ejpam-5249	442	2	(	(	PUNCT
ejpam-5249	442	3	40	40	NUM
ejpam-5249	442	4	)	)	PUNCT
ejpam-5249	442	5	x	x	X
ejpam-5249	443	1	=	=	PUNCT
ejpam-5249	443	2	x0	x0	PROPN
ejpam-5249	443	3	+	+	CCONJ
ejpam-5249	443	4	px1	px1	NOUN
ejpam-5249	443	5	+	+	CCONJ
ejpam-5249	443	6	p2x2	p2x2	NOUN
ejpam-5249	443	7	+	+	CCONJ
ejpam-5249	443	8	...	...	PUNCT
ejpam-5249	443	9	(	(	PUNCT
ejpam-5249	443	10	41	41	NUM
ejpam-5249	443	11	)	)	PUNCT
ejpam-5249	443	12	y	y	NOUN
ejpam-5249	443	13	=	=	SYM
ejpam-5249	443	14	y0	y0	PROPN
ejpam-5249	443	15	+	+	NUM
ejpam-5249	443	16	py1	py1	NOUN
ejpam-5249	444	1	+	+	CCONJ
ejpam-5249	444	2	p2y2	p2y2	X
ejpam-5249	445	1	+	+	CCONJ
ejpam-5249	445	2	...	...	PUNCT
ejpam-5249	445	3	(	(	PUNCT
ejpam-5249	445	4	42	42	NUM
ejpam-5249	445	5	)	)	PUNCT
ejpam-5249	445	6	c	c	NOUN
ejpam-5249	446	1	=	=	SYM
ejpam-5249	446	2	c0	c0	PROPN
ejpam-5249	446	3	+	+	CCONJ
ejpam-5249	446	4	pc1	pc1	PROPN
ejpam-5249	447	1	+	+	CCONJ
ejpam-5249	447	2	p2c2	p2c2	PROPN
ejpam-5249	447	3	+	+	NUM
ejpam-5249	447	4	...	...	PUNCT
ejpam-5249	447	5	(	(	PUNCT
ejpam-5249	447	6	43	43	X
ejpam-5249	447	7	)	)	PUNCT
ejpam-5249	447	8	p0	p0	NOUN
ejpam-5249	447	9	:	:	PUNCT
ejpam-5249	447	10	dx0	dx0	NOUN
ejpam-5249	447	11	dt	dt	NOUN
ejpam-5249	448	1	−bx0	−bx0	NOUN
ejpam-5249	448	2	=	=	SYM
ejpam-5249	448	3	0	0	NUM
ejpam-5249	448	4	,	,	PUNCT
ejpam-5249	448	5	(	(	PUNCT
ejpam-5249	448	6	44	44	NUM
ejpam-5249	448	7	)	)	PUNCT
ejpam-5249	448	8	p1	p1	NOUN
ejpam-5249	448	9	:	:	PUNCT
ejpam-5249	448	10	dx1	dx1	PROPN
ejpam-5249	448	11	dt	dt	X
ejpam-5249	448	12	−bx1	−bx1	PROPN
ejpam-5249	449	1	+	+	CCONJ
ejpam-5249	449	2	bx0	bx0	VERB
ejpam-5249	449	3	v	v	NOUN
ejpam-5249	449	4	+	+	CCONJ
ejpam-5249	449	5	bx0y0	bx0y0	ADP
ejpam-5249	449	6	v	v	ADP
ejpam-5249	449	7	+	+	PROPN
ejpam-5249	449	8	ax0c0	ax0c0	PROPN
ejpam-5249	449	9	=	=	SYM
ejpam-5249	449	10	0	0	PROPN
ejpam-5249	449	11	,	,	PUNCT
ejpam-5249	449	12	(	(	PUNCT
ejpam-5249	449	13	45	45	NUM
ejpam-5249	449	14	)	)	PUNCT
ejpam-5249	449	15	b.	b.	PROPN
ejpam-5249	449	16	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	449	17	,	,	PUNCT
ejpam-5249	449	18	r.	r.	PROPN
ejpam-5249	449	19	senthamarai	senthamarai	PROPN
ejpam-5249	449	20	/	/	SYM
ejpam-5249	449	21	eur	eur	PROPN
ejpam-5249	449	22	.	.	PUNCT
ejpam-5249	450	1	j.	j.	PROPN
ejpam-5249	450	2	pure	pure	PROPN
ejpam-5249	450	3	appl	appl	PROPN
ejpam-5249	450	4	.	.	PROPN
ejpam-5249	450	5	math	math	PROPN
ejpam-5249	450	6	,	,	PUNCT
ejpam-5249	450	7	17	17	NUM
ejpam-5249	450	8	(	(	PUNCT
ejpam-5249	450	9	3	3	NUM
ejpam-5249	450	10	)	)	PUNCT
ejpam-5249	450	11	(	(	PUNCT
ejpam-5249	450	12	2024	2024	NUM
ejpam-5249	450	13	)	)	PUNCT
ejpam-5249	450	14	,	,	PUNCT
ejpam-5249	450	15	1908	1908	NUM
ejpam-5249	450	16	-	-	SYM
ejpam-5249	450	17	1936	1936	NUM
ejpam-5249	450	18	1928	1928	NUM
ejpam-5249	450	19	p2	p2	NOUN
ejpam-5249	450	20	:	:	PUNCT
ejpam-5249	451	1	dx2	dx2	PROPN
ejpam-5249	451	2	dt	dt	X
ejpam-5249	451	3	−bx2	−bx2	PROPN
ejpam-5249	451	4	+	+	CCONJ
ejpam-5249	451	5	bx1	bx1	VERB
ejpam-5249	451	6	v	v	ADP
ejpam-5249	451	7	+	+	CCONJ
ejpam-5249	451	8	bx0y1	bx0y1	PROPN
ejpam-5249	451	9	v	v	ADP
ejpam-5249	451	10	+	+	PROPN
ejpam-5249	451	11	bx1y0	bx1y0	PROPN
ejpam-5249	451	12	+	+	PROPN
ejpam-5249	451	13	ax0c1	ax0c1	PROPN
ejpam-5249	451	14	=	=	SYM
ejpam-5249	451	15	0	0	NUM
ejpam-5249	451	16	(	(	PUNCT
ejpam-5249	451	17	46	46	NUM
ejpam-5249	451	18	)	)	PUNCT
ejpam-5249	451	19	p0	p0	NOUN
ejpam-5249	451	20	:	:	PUNCT
ejpam-5249	451	21	dy0	dy0	NOUN
ejpam-5249	451	22	dt	dt	X
ejpam-5249	451	23	+	+	CCONJ
ejpam-5249	451	24	py0	py0	VERB
ejpam-5249	451	25	=	=	SYM
ejpam-5249	451	26	0	0	PROPN
ejpam-5249	451	27	,	,	PUNCT
ejpam-5249	451	28	(	(	PUNCT
ejpam-5249	451	29	47	47	NUM
ejpam-5249	451	30	)	)	PUNCT
ejpam-5249	451	31	p1	p1	NOUN
ejpam-5249	451	32	:	:	PUNCT
ejpam-5249	451	33	dy1	dy1	NOUN
ejpam-5249	451	34	dt	dt	NOUN
ejpam-5249	452	1	+	+	CCONJ
ejpam-5249	452	2	py1	py1	PROPN
ejpam-5249	452	3	−ax0c0	−ax0c0	PROPN
ejpam-5249	452	4	,	,	PUNCT
ejpam-5249	452	5	(	(	PUNCT
ejpam-5249	452	6	48	48	NUM
ejpam-5249	452	7	)	)	PUNCT
ejpam-5249	452	8	p2	p2	PROPN
ejpam-5249	452	9	:	:	PUNCT
ejpam-5249	452	10	dy2	dy2	PROPN
ejpam-5249	452	11	dt	dt	X
ejpam-5249	453	1	−	−	PROPN
ejpam-5249	453	2	py2	py2	PROPN
ejpam-5249	453	3	−ax0c1	−ax0c1	PROPN
ejpam-5249	453	4	−ax1c0	−ax1c0	PROPN
ejpam-5249	453	5	=	=	SYM
ejpam-5249	453	6	0	0	NUM
ejpam-5249	453	7	,	,	PUNCT
ejpam-5249	453	8	p0	p0	NOUN
ejpam-5249	453	9	:	:	PUNCT
ejpam-5249	453	10	dc0	dc0	NOUN
ejpam-5249	453	11	dt	dt	NOUN
ejpam-5249	454	1	+	+	NUM
ejpam-5249	454	2	sc0	sc0	NOUN
ejpam-5249	454	3	=	=	SYM
ejpam-5249	454	4	0	0	NUM
ejpam-5249	454	5	,	,	PUNCT
ejpam-5249	454	6	(	(	PUNCT
ejpam-5249	454	7	49	49	NUM
ejpam-5249	454	8	)	)	PUNCT
ejpam-5249	454	9	p1	p1	NOUN
ejpam-5249	454	10	:	:	PUNCT
ejpam-5249	454	11	dc1	dc1	PROPN
ejpam-5249	454	12	dt	dt	PROPN
ejpam-5249	455	1	+	+	CCONJ
ejpam-5249	455	2	sc1	sc1	PROPN
ejpam-5249	455	3	−wy0	−wy0	PROPN
ejpam-5249	455	4	=	=	PROPN
ejpam-5249	455	5	0	0	PROPN
ejpam-5249	455	6	,	,	PUNCT
ejpam-5249	455	7	(	(	PUNCT
ejpam-5249	455	8	50	50	NUM
ejpam-5249	455	9	)	)	PUNCT
ejpam-5249	455	10	p2	p2	PROPN
ejpam-5249	455	11	:	:	PUNCT
ejpam-5249	455	12	dc2	dc2	X
ejpam-5249	455	13	dt	dt	NOUN
ejpam-5249	455	14	+	+	CCONJ
ejpam-5249	455	15	sc2	sc2	PROPN
ejpam-5249	455	16	−wy1	−wy1	PROPN
ejpam-5249	455	17	.	.	PUNCT
ejpam-5249	455	18	(	(	PUNCT
ejpam-5249	455	19	51	51	NUM
ejpam-5249	455	20	)	)	PUNCT
ejpam-5249	455	21	x0	x0	PROPN
ejpam-5249	456	1	=	=	PUNCT
ejpam-5249	456	2	lebt	lebt	PROPN
ejpam-5249	456	3	,	,	PUNCT
ejpam-5249	456	4	y0	y0	NOUN
ejpam-5249	456	5	=	=	SYM
ejpam-5249	456	6	me−µt	me−µt	X
ejpam-5249	456	7	,	,	PUNCT
ejpam-5249	456	8	c0	c0	NOUN
ejpam-5249	456	9	=	=	X
ejpam-5249	456	10	ne−st	ne−st	PRON
ejpam-5249	456	11	.	.	PUNCT
ejpam-5249	457	1	(	(	PUNCT
ejpam-5249	457	2	52	52	NUM
ejpam-5249	457	3	)	)	PUNCT
ejpam-5249	457	4	x1(t	x1(t	PUNCT
ejpam-5249	457	5	)	)	PUNCT
ejpam-5249	458	1	=	=	SYM
ejpam-5249	458	2	−l	−l	PROPN
ejpam-5249	458	3	(	(	PUNCT
ejpam-5249	458	4	lebt	lebt	PROPN
ejpam-5249	458	5	−	−	PROPN
ejpam-5249	458	6	mbe−µt	mbe−µt	PROPN
ejpam-5249	458	7	µ	µ	ADV
ejpam-5249	458	8	−	−	NOUN
ejpam-5249	458	9	kane−µt	kane−µt	X
ejpam-5249	458	10	s	s	PART
ejpam-5249	458	11	)	)	PUNCT
ejpam-5249	458	12	k	k	PROPN
ejpam-5249	459	1	+	+	NUM
ejpam-5249	459	2	l	l	NOUN
ejpam-5249	459	3	(	(	PUNCT
ejpam-5249	459	4	l	l	NOUN
ejpam-5249	459	5	−	−	NOUN
ejpam-5249	459	6	mb	mb	ADP
ejpam-5249	459	7	µ	µ	X
ejpam-5249	459	8	−	−	PROPN
ejpam-5249	459	9	kan	kan	PROPN
ejpam-5249	459	10	s	s	PART
ejpam-5249	459	11	)	)	PUNCT
ejpam-5249	459	12	k	k	PROPN
ejpam-5249	459	13	ebt	ebt	PUNCT
ejpam-5249	459	14	,	,	PUNCT
ejpam-5249	459	15	(	(	PUNCT
ejpam-5249	459	16	53	53	NUM
ejpam-5249	459	17	)	)	PUNCT
ejpam-5249	459	18	y1(t	y1(t	PROPN
ejpam-5249	459	19	)	)	PUNCT
ejpam-5249	459	20	=	=	NOUN
ejpam-5249	459	21	(	(	PUNCT
ejpam-5249	459	22	alnet(µ+b−s	alnet(µ+b−s	ADJ
ejpam-5249	459	23	)	)	PUNCT
ejpam-5249	459	24	µ	µ	NOUN
ejpam-5249	459	25	+	+	ADP
ejpam-5249	459	26	b−	b−	PROPN
ejpam-5249	459	27	s	s	PART
ejpam-5249	459	28	−	−	PROPN
ejpam-5249	459	29	lna	lna	PROPN
ejpam-5249	459	30	µ	µ	PROPN
ejpam-5249	459	31	+	+	PROPN
ejpam-5249	459	32	b−	b−	PROPN
ejpam-5249	459	33	s	s	PART
ejpam-5249	459	34	)	)	PUNCT
ejpam-5249	459	35	e−µt	e−µt	PROPN
ejpam-5249	459	36	,	,	PUNCT
ejpam-5249	459	37	(	(	PUNCT
ejpam-5249	459	38	54	54	NUM
ejpam-5249	459	39	)	)	PUNCT
ejpam-5249	459	40	c1(t	c1(t	PROPN
ejpam-5249	459	41	)	)	PUNCT
ejpam-5249	459	42	=	=	SYM
ejpam-5249	459	43	(	(	PUNCT
ejpam-5249	459	44	−wme−t(−s+µ	−wme−t(−s+µ	ADJ
ejpam-5249	459	45	)	)	PUNCT
ejpam-5249	459	46	−s+µ	−s+µ	NOUN
ejpam-5249	459	47	+	+	CCONJ
ejpam-5249	459	48	wm	wm	PROPN
ejpam-5249	459	49	−s+µ	−s+µ	NOUN
ejpam-5249	459	50	)	)	PUNCT
ejpam-5249	459	51	e−st	e−st	VERB
ejpam-5249	459	52	.	.	PUNCT
ejpam-5249	460	1	(	(	PUNCT
ejpam-5249	460	2	55	55	NUM
ejpam-5249	460	3	)	)	PUNCT
ejpam-5249	460	4	x2(t	x2(t	PROPN
ejpam-5249	460	5	)	)	PUNCT
ejpam-5249	460	6	=	=	PUNCT
ejpam-5249	460	7	(	(	PUNCT
ejpam-5249	460	8	1	1	NUM
ejpam-5249	460	9	v2µs(µ	v2µs(µ	PROPN
ejpam-5249	460	10	+	+	NOUN
ejpam-5249	460	11	b−	b−	NOUN
ejpam-5249	460	12	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	460	13	)	)	PUNCT
ejpam-5249	460	14	(	(	PUNCT
ejpam-5249	460	15	l(µ	l(µ	PROPN
ejpam-5249	460	16	+	+	PROPN
ejpam-5249	460	17	b−	b−	PROPN
ejpam-5249	460	18	s	s	PART
ejpam-5249	460	19	)	)	PUNCT
ejpam-5249	460	20	(	(	PUNCT
ejpam-5249	460	21	bs(−s	bs(−	NOUN
ejpam-5249	460	22	+	+	NOUN
ejpam-5249	460	23	µ	µ	NOUN
ejpam-5249	460	24	)	)	PUNCT
ejpam-5249	460	25	(	(	PUNCT
ejpam-5249	460	26	lµe−µt	lµe−µt	PROPN
ejpam-5249	460	27	b	b	PROPN
ejpam-5249	460	28	−	−	PROPN
ejpam-5249	460	29	vm2be−sµt	vm2be−sµt	NOUN
ejpam-5249	460	30	2µ	2µ	NUM
ejpam-5249	460	31	)	)	PUNCT
ejpam-5249	460	32	)	)	PUNCT
ejpam-5249	461	1	−	−	PROPN
ejpam-5249	461	2	1	1	NUM
ejpam-5249	461	3	µ	µ	X
ejpam-5249	461	4	(	(	PUNCT
ejpam-5249	461	5	(	(	PUNCT
ejpam-5249	461	6	−ms(−s+µ)(vm+1)b3	−ms(−s+µ)(vm+1)b3	X
ejpam-5249	461	7	−	−	PROPN
ejpam-5249	461	8	(	(	PUNCT
ejpam-5249	461	9	(	(	PUNCT
ejpam-5249	461	10	(	(	PUNCT
ejpam-5249	461	11	1+(−l	1+(−l	NUM
ejpam-5249	461	12	+	+	ADJ
ejpam-5249	461	13	m)v)s)+	m)v)s)+	PROPN
ejpam-5249	461	14	v2an)µ	v2an)µ	PROPN
ejpam-5249	461	15	−	−	PROPN
ejpam-5249	461	16	s2(vm+1))(−s+µ)mb2	s2(vm+1))(−s+µ)mb2	SYM
ejpam-5249	461	17	−µv(m(van−	−µv(m(van−	PUNCT
ejpam-5249	462	1	ls)µ2)−2	ls)µ2)−2	PROPN
ejpam-5249	462	2	(	(	PUNCT
ejpam-5249	462	3	−	−	PROPN
ejpam-5249	462	4	lsm+an	lsm+an	PROPN
ejpam-5249	462	5	(	(	PUNCT
ejpam-5249	462	6	vm−	vm−	NUM
ejpam-5249	462	7	l	l	NOUN
ejpam-5249	462	8	2	2	NUM
ejpam-5249	462	9	)	)	PUNCT
ejpam-5249	462	10	)	)	PUNCT
ejpam-5249	462	11	sµ	sµ	ADP
ejpam-5249	463	1	+	+	PROPN
ejpam-5249	463	2	(	(	PUNCT
ejpam-5249	463	3	−ls2m+an(vm−	−ls2m+an(vm−	ADP
ejpam-5249	463	4	l)s+	l)s+	NOUN
ejpam-5249	463	5	vamw)s	vamw)s	NOUN
ejpam-5249	463	6	)	)	PUNCT
ejpam-5249	463	7	b−	b−	PROPN
ejpam-5249	463	8	v2amµws(−s+µ)ebt	v2amµws(−s+µ)ebt	VERB
ejpam-5249	463	9	)	)	PUNCT
ejpam-5249	464	1	+	+	CCONJ
ejpam-5249	464	2	tmb2s3	tmb2s3	NOUN
ejpam-5249	464	3	+	+	CCONJ
ejpam-5249	464	4	tlµb2s2	tlµb2s2	NOUN
ejpam-5249	464	5	+	+	CCONJ
ejpam-5249	464	6	tmµb3s+	tmµb3s+	X
ejpam-5249	464	7	tmµ	tmµ	ADP
ejpam-5249	464	8	2b2s+	2b2s+	NUM
ejpam-5249	464	9	tavnµ	tavnµ	NOUN
ejpam-5249	464	10	2b2	2b2	NUM
ejpam-5249	464	11	+	+	NUM
ejpam-5249	464	12	tavnµ	tavnµ	NOUN
ejpam-5249	464	13	3b	3b	NOUN
ejpam-5249	464	14	+	+	CCONJ
ejpam-5249	464	15	tavnµbs2	tavnµbs2	NOUN
ejpam-5249	464	16	+	+	CCONJ
ejpam-5249	464	17	valnµbs(−s+µ)e(b−s)t	valnµbs(−s+µ)e(b−s)t	PROPN
ejpam-5249	464	18	b−	b−	PROPN
ejpam-5249	464	19	s	s	PART
ejpam-5249	464	20	+	+	NUM
ejpam-5249	464	21	v2amnµb(−s+µ)(µ	v2amnµb(−s+µ)(µ	PROPN
ejpam-5249	464	22	+	+	NOUN
ejpam-5249	464	23	b−	b−	PROPN
ejpam-5249	464	24	s)e−(µ+s)t	s)e−(µ+s)t	NOUN
ejpam-5249	464	25	−µ	−µ	PROPN
ejpam-5249	465	1	−	−	PROPN
ejpam-5249	465	2	s	s	PART
ejpam-5249	466	1	−	−	PROPN
ejpam-5249	466	2	tmb3s2	tmb3s2	PROPN
ejpam-5249	466	3	b.	b.	PROPN
ejpam-5249	466	4	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	466	5	,	,	PUNCT
ejpam-5249	466	6	r.	r.	PROPN
ejpam-5249	466	7	senthamarai	senthamarai	PROPN
ejpam-5249	466	8	/	/	SYM
ejpam-5249	466	9	eur	eur	PROPN
ejpam-5249	466	10	.	.	PUNCT
ejpam-5249	467	1	j.	j.	PROPN
ejpam-5249	467	2	pure	pure	PROPN
ejpam-5249	467	3	appl	appl	PROPN
ejpam-5249	467	4	.	.	PROPN
ejpam-5249	467	5	math	math	PROPN
ejpam-5249	467	6	,	,	PUNCT
ejpam-5249	467	7	17	17	NUM
ejpam-5249	467	8	(	(	PUNCT
ejpam-5249	467	9	3	3	NUM
ejpam-5249	467	10	)	)	PUNCT
ejpam-5249	467	11	(	(	PUNCT
ejpam-5249	467	12	2024	2024	NUM
ejpam-5249	467	13	)	)	PUNCT
ejpam-5249	467	14	,	,	PUNCT
ejpam-5249	467	15	1908	1908	NUM
ejpam-5249	467	16	-	-	SYM
ejpam-5249	467	17	1936	1936	NUM
ejpam-5249	467	18	1929	1929	NUM
ejpam-5249	467	19	−	−	ADP
ejpam-5249	467	20	tlµbs3	tlµbs3	NOUN
ejpam-5249	467	21	+2tlµ2bs2	+2tlµ2bs2	ADP
ejpam-5249	467	22	−	−	PROPN
ejpam-5249	467	23	tlµ2b2s−	tlµ2b2s−	NOUN
ejpam-5249	467	24	tlµ3bs−2tmµb2s2	tlµ3bs−2tmµb2s2	NOUN
ejpam-5249	467	25	−	−	PROPN
ejpam-5249	467	26	tavnµb2s	tavnµb2s	X
ejpam-5249	467	27	−2tavnµ	−2tavnµ	NOUN
ejpam-5249	467	28	2bs−	2bs−	NUM
ejpam-5249	467	29	vlmµbs(−s+µ)(µ	vlmµbs(−s+µ)(µ	VERB
ejpam-5249	468	1	+	+	ADP
ejpam-5249	468	2	b−	b−	PROPN
ejpam-5249	468	3	s)e−(µ−b)t	s)e−(µ−b)t	PROPN
ejpam-5249	468	4	−µ	−µ	PROPN
ejpam-5249	469	1	+	+	NOUN
ejpam-5249	469	2	b	b	NOUN
ejpam-5249	469	3	)	)	PUNCT
ejpam-5249	469	4	)	)	PUNCT
ejpam-5249	469	5	−	−	PROPN
ejpam-5249	469	6	1	1	NUM
ejpam-5249	469	7	v2µs(µ	v2µs(µ	PROPN
ejpam-5249	469	8	+	+	PROPN
ejpam-5249	469	9	b−	b−	NOUN
ejpam-5249	469	10	s)(−s+µ	s)(−s+µ	VERB
ejpam-5249	469	11	)	)	PUNCT
ejpam-5249	469	12	(	(	PUNCT
ejpam-5249	469	13	l	l	X
ejpam-5249	469	14	(	(	PUNCT
ejpam-5249	469	15	(	(	PUNCT
ejpam-5249	469	16	µ	µ	X
ejpam-5249	469	17	+	+	NOUN
ejpam-5249	469	18	b−	b−	NOUN
ejpam-5249	469	19	s	s	PART
ejpam-5249	469	20	)	)	PUNCT
ejpam-5249	469	21	(	(	PUNCT
ejpam-5249	469	22	bs(−s+µ	bs(−s+µ	PROPN
ejpam-5249	469	23	)	)	PUNCT
ejpam-5249	469	24	(	(	PUNCT
ejpam-5249	469	25	lµ	lµ	PROPN
ejpam-5249	469	26	b	b	X
ejpam-5249	470	1	−	−	PROPN
ejpam-5249	470	2	vm2b	vm2b	PROPN
ejpam-5249	470	3	2µ	2µ	NUM
ejpam-5249	470	4	)	)	PUNCT
ejpam-5249	471	1	−	−	PROPN
ejpam-5249	471	2	µ(−n(−s+µ)b+	µ(−n(−s+µ)b+	PROPN
ejpam-5249	471	3	vmws)av	vmws)av	NOUN
ejpam-5249	471	4	s	s	PART
ejpam-5249	471	5	)	)	PUNCT
ejpam-5249	471	6	−	−	PROPN
ejpam-5249	471	7	1	1	NUM
ejpam-5249	471	8	µ	µ	X
ejpam-5249	471	9	(	(	PUNCT
ejpam-5249	471	10	−ms(−s+µ)(vm+1)b3	−ms(−s+µ)(vm+1)b3	X
ejpam-5249	471	11	−	−	PROPN
ejpam-5249	471	12	(	(	PUNCT
ejpam-5249	471	13	(	(	PUNCT
ejpam-5249	471	14	(	(	PUNCT
ejpam-5249	471	15	1+(−l	1+(−l	NUM
ejpam-5249	471	16	+	+	NOUN
ejpam-5249	471	17	m)v)s+	m)v)s+	NOUN
ejpam-5249	471	18	v2an)µ	v2an)µ	NUM
ejpam-5249	471	19	−	−	ADP
ejpam-5249	471	20	s2(vm+1))(−s+µ)mb2	s2(vm+1))(−s+µ)mb2	SYM
ejpam-5249	471	21	−µv	−µv	PROPN
ejpam-5249	471	22	(	(	PUNCT
ejpam-5249	471	23	m(van−	m(van−	NOUN
ejpam-5249	471	24	ls)µ2	ls)µ2	PROPN
ejpam-5249	471	25	−2	−2	NOUN
ejpam-5249	471	26	(	(	PUNCT
ejpam-5249	471	27	−	−	PROPN
ejpam-5249	471	28	lsm+an	lsm+an	PROPN
ejpam-5249	471	29	(	(	PUNCT
ejpam-5249	471	30	vm−	vm−	NUM
ejpam-5249	471	31	1	1	NUM
ejpam-5249	471	32	2	2	NUM
ejpam-5249	471	33	)	)	PUNCT
ejpam-5249	471	34	)	)	PUNCT
ejpam-5249	471	35	sµ	sµ	ADP
ejpam-5249	472	1	+	+	PROPN
ejpam-5249	472	2	(	(	PUNCT
ejpam-5249	472	3	−ls2m+an(vm−	−ls2m+an(vm−	ADP
ejpam-5249	472	4	l)s+	l)s+	NOUN
ejpam-5249	472	5	vamw)s)b−	vamw)s)b−	NOUN
ejpam-5249	472	6	v2amµws(−s+µ	v2amµws(−s+µ	VERB
ejpam-5249	472	7	)	)	PUNCT
ejpam-5249	472	8	)	)	PUNCT
ejpam-5249	473	1	+	+	CCONJ
ejpam-5249	473	2	valnµbs(−s+µ	valnµbs(−s+µ	NOUN
ejpam-5249	473	3	)	)	PUNCT
ejpam-5249	473	4	b−	b−	PROPN
ejpam-5249	473	5	s	s	PART
ejpam-5249	473	6	+	+	NUM
ejpam-5249	473	7	v2amnµb(−s+µ)(µ	v2amnµb(−s+µ)(µ	PROPN
ejpam-5249	473	8	+	+	CCONJ
ejpam-5249	473	9	b−	b−	PROPN
ejpam-5249	473	10	s	s	PART
ejpam-5249	473	11	)	)	PUNCT
ejpam-5249	473	12	−µ	−µ	ADV
ejpam-5249	473	13	−	−	PROPN
ejpam-5249	473	14	s	s	PART
ejpam-5249	473	15	−	−	PROPN
ejpam-5249	473	16	vlmµbs(−s+µ)(µ	vlmµbs(−s+µ)(µ	NOUN
ejpam-5249	473	17	+	+	CCONJ
ejpam-5249	473	18	b−	b−	PROPN
ejpam-5249	473	19	s	s	PART
ejpam-5249	473	20	)	)	PUNCT
ejpam-5249	473	21	−µ	−µ	NOUN
ejpam-5249	474	1	+	+	PROPN
ejpam-5249	474	2	b	b	NOUN
ejpam-5249	474	3	)	)	PUNCT
ejpam-5249	474	4	)	)	PUNCT
ejpam-5249	474	5	)	)	PUNCT
ejpam-5249	475	1	ebt	ebt	PROPN
ejpam-5249	475	2	,	,	PUNCT
ejpam-5249	475	3	(	(	PUNCT
ejpam-5249	475	4	56	56	NUM
ejpam-5249	475	5	)	)	PUNCT
ejpam-5249	475	6	y2(t	y2(t	PROPN
ejpam-5249	475	7	)	)	PUNCT
ejpam-5249	475	8	=	=	PUNCT
ejpam-5249	476	1	(	(	PUNCT
ejpam-5249	476	2	1	1	NUM
ejpam-5249	476	3	(	(	PUNCT
ejpam-5249	476	4	µ	µ	X
ejpam-5249	476	5	+	+	PROPN
ejpam-5249	476	6	b−	b−	PROPN
ejpam-5249	476	7	s)vµs	s)vµs	PROPN
ejpam-5249	476	8	(	(	PUNCT
ejpam-5249	476	9	lna	lna	PROPN
ejpam-5249	476	10	(	(	PUNCT
ejpam-5249	476	11	(	(	PUNCT
ejpam-5249	476	12	(	(	PUNCT
ejpam-5249	476	13	van−	van−	PROPN
ejpam-5249	476	14	ls)µ	ls)µ	ADJ
ejpam-5249	476	15	+	+	PROPN
ejpam-5249	476	16	mbs)e(µ+b−s)t	mbs)e(µ+b−s)t	NOUN
ejpam-5249	476	17	+	+	CCONJ
ejpam-5249	476	18	lµs(va+µ	lµs(va+µ	NOUN
ejpam-5249	476	19	+	+	PROPN
ejpam-5249	476	20	b−	b−	PROPN
ejpam-5249	476	21	s)eµ+2b−st	s)eµ+2b−st	NOUN
ejpam-5249	476	22	µ	µ	ADV
ejpam-5249	476	23	+2b−	+2b−	ADP
ejpam-5249	476	24	s	s	PROPN
ejpam-5249	476	25	−	−	PROPN
ejpam-5249	476	26	s	s	PART
ejpam-5249	476	27	(	(	PUNCT
ejpam-5249	476	28	mb(µ	mb(µ	X
ejpam-5249	476	29	+	+	NOUN
ejpam-5249	476	30	b−	b−	PROPN
ejpam-5249	476	31	s)e(b−s)t	s)e(b−s)t	NOUN
ejpam-5249	476	32	b−	b−	PROPN
ejpam-5249	476	33	s	s	PART
ejpam-5249	476	34	+	+	PROPN
ejpam-5249	476	35	valµebt	valµebt	NOUN
ejpam-5249	476	36	b	b	NOUN
ejpam-5249	476	37	)	)	PUNCT
ejpam-5249	476	38	−	−	PROPN
ejpam-5249	476	39	vnµa(µ	vnµa(µ	NOUN
ejpam-5249	476	40	+	+	NOUN
ejpam-5249	476	41	b−	b−	PROPN
ejpam-5249	476	42	s)e(µ+2b−s)t	s)e(µ+2b−s)t	NOUN
ejpam-5249	476	43	µ	µ	X
ejpam-5249	476	44	+	+	NOUN
ejpam-5249	476	45	b−2s	b−2s	NOUN
ejpam-5249	476	46	)	)	PUNCT
ejpam-5249	476	47	)	)	PUNCT
ejpam-5249	477	1	−	−	PROPN
ejpam-5249	477	2	lna	lna	PROPN
ejpam-5249	477	3	(	(	PUNCT
ejpam-5249	477	4	(	(	PUNCT
ejpam-5249	477	5	van−	van−	PROPN
ejpam-5249	477	6	ls)µ	ls)µ	PROPN
ejpam-5249	477	7	+	+	PROPN
ejpam-5249	477	8	mbs+	mbs+	PROPN
ejpam-5249	477	9	lµs(va+µ+b−s	lµs(va+µ+b−s	NOUN
ejpam-5249	477	10	)	)	PUNCT
ejpam-5249	477	11	µ+2b−s	µ+2b−s	ADP
ejpam-5249	477	12	−	−	PROPN
ejpam-5249	477	13	s	s	PART
ejpam-5249	477	14	(	(	PUNCT
ejpam-5249	477	15	mb(µ+b−s	mb(µ+b−s	NOUN
ejpam-5249	477	16	)	)	PUNCT
ejpam-5249	477	17	b−s	b−s	NOUN
ejpam-5249	477	18	+	+	CCONJ
ejpam-5249	477	19	valµ	valµ	PROPN
ejpam-5249	477	20	b	b	PROPN
ejpam-5249	477	21	)	)	PUNCT
ejpam-5249	477	22	−	−	PROPN
ejpam-5249	477	23	vnµa(µ+b−s	vnµa(µ+b−s	ADJ
ejpam-5249	477	24	)	)	PUNCT
ejpam-5249	477	25	µ+b−2s	µ+b−2s	PROPN
ejpam-5249	477	26	)	)	PUNCT
ejpam-5249	477	27	(	(	PUNCT
ejpam-5249	477	28	µ	µ	X
ejpam-5249	477	29	+	+	NOUN
ejpam-5249	477	30	b−	b−	PROPN
ejpam-5249	477	31	s)vµs	s)vµs	PROPN
ejpam-5249	477	32	)	)	PUNCT
ejpam-5249	477	33	e−µt	e−µt	PROPN
ejpam-5249	477	34	,	,	PUNCT
ejpam-5249	477	35	(	(	PUNCT
ejpam-5249	477	36	57	57	NUM
ejpam-5249	477	37	)	)	PUNCT
ejpam-5249	477	38	c2(t	c2(t	NOUN
ejpam-5249	477	39	)	)	PUNCT
ejpam-5249	477	40	=	=	SYM
ejpam-5249	477	41	−w2	−w2	PROPN
ejpam-5249	477	42	m	m	VERB
ejpam-5249	477	43	(	(	PUNCT
ejpam-5249	477	44	−t	−t	ADJ
ejpam-5249	477	45	+	+	CCONJ
ejpam-5249	477	46	e−t(−s+µ	e−t(−s+µ	NUM
ejpam-5249	477	47	)	)	PUNCT
ejpam-5249	477	48	−s+µ	−s+µ	NOUN
ejpam-5249	477	49	)	)	PUNCT
ejpam-5249	477	50	µ	µ	PRON
ejpam-5249	477	51	−	−	PROPN
ejpam-5249	477	52	s	s	PART
ejpam-5249	477	53	+	+	NUM
ejpam-5249	477	54	w2	w2	NOUN
ejpam-5249	477	55	m	m	PROPN
ejpam-5249	477	56	(	(	PUNCT
ejpam-5249	477	57	µ	µ	PRON
ejpam-5249	477	58	−	−	PROPN
ejpam-5249	477	59	s)(s−µ	s)(s−µ	NOUN
ejpam-5249	477	60	)	)	PUNCT
ejpam-5249	477	61	e−st	e−st	PROPN
ejpam-5249	477	62	.	.	PUNCT
ejpam-5249	478	1	(	(	PUNCT
ejpam-5249	478	2	58	58	X
ejpam-5249	478	3	)	)	PUNCT
ejpam-5249	478	4	x(t	x(t	PROPN
ejpam-5249	478	5	)	)	PUNCT
ejpam-5249	479	1	=	=	PUNCT
ejpam-5249	480	1	x0	x0	PROPN
ejpam-5249	481	1	+	+	ADJ
ejpam-5249	481	2	x1	x1	PROPN
ejpam-5249	482	1	+	+	ADJ
ejpam-5249	482	2	x2	x2	PROPN
ejpam-5249	482	3	(	(	PUNCT
ejpam-5249	482	4	59	59	NUM
ejpam-5249	482	5	)	)	PUNCT
ejpam-5249	482	6	y	y	PROPN
ejpam-5249	482	7	(	(	PUNCT
ejpam-5249	482	8	t	t	PROPN
ejpam-5249	482	9	)	)	PUNCT
ejpam-5249	482	10	=	=	PUNCT
ejpam-5249	483	1	y0	y0	NOUN
ejpam-5249	483	2	+	+	NOUN
ejpam-5249	483	3	y1	y1	ADJ
ejpam-5249	483	4	+	+	ADJ
ejpam-5249	483	5	y2	y2	PROPN
ejpam-5249	483	6	(	(	PUNCT
ejpam-5249	483	7	60	60	NUM
ejpam-5249	483	8	)	)	PUNCT
ejpam-5249	483	9	c(t	c(t	PROPN
ejpam-5249	483	10	)	)	PUNCT
ejpam-5249	484	1	=	=	NUM
ejpam-5249	484	2	c0	c0	NOUN
ejpam-5249	484	3	+	+	PROPN
ejpam-5249	484	4	c1	c1	PROPN
ejpam-5249	484	5	+	+	PROPN
ejpam-5249	484	6	c2	c2	PROPN
ejpam-5249	484	7	(	(	PUNCT
ejpam-5249	484	8	61	61	NUM
ejpam-5249	484	9	)	)	PUNCT
ejpam-5249	484	10	x(t	x(t	PROPN
ejpam-5249	484	11	)	)	PUNCT
ejpam-5249	485	1	=	=	PROPN
ejpam-5249	485	2	lim	lim	PROPN
ejpam-5249	485	3	p→1	p→1	PROPN
ejpam-5249	485	4	x(t	x(t	PROPN
ejpam-5249	485	5	)	)	PUNCT
ejpam-5249	485	6	=	=	PUNCT
ejpam-5249	486	1	x0	x0	PROPN
ejpam-5249	487	1	+	+	ADJ
ejpam-5249	487	2	x1	x1	PROPN
ejpam-5249	488	1	+	+	ADJ
ejpam-5249	488	2	x2	x2	PROPN
ejpam-5249	488	3	(	(	PUNCT
ejpam-5249	488	4	62	62	NUM
ejpam-5249	488	5	)	)	PUNCT
ejpam-5249	488	6	y	y	PROPN
ejpam-5249	488	7	(	(	PUNCT
ejpam-5249	488	8	t	t	PROPN
ejpam-5249	488	9	)	)	PUNCT
ejpam-5249	488	10	=	=	PROPN
ejpam-5249	489	1	lim	lim	PROPN
ejpam-5249	489	2	p→1	p→1	PROPN
ejpam-5249	489	3	y	y	PROPN
ejpam-5249	489	4	(	(	PUNCT
ejpam-5249	489	5	t	t	PROPN
ejpam-5249	489	6	)	)	PUNCT
ejpam-5249	490	1	=	=	PUNCT
ejpam-5249	490	2	y0	y0	NOUN
ejpam-5249	490	3	+	+	NOUN
ejpam-5249	490	4	y1	y1	ADJ
ejpam-5249	490	5	+	+	ADJ
ejpam-5249	490	6	y2	y2	PROPN
ejpam-5249	490	7	(	(	PUNCT
ejpam-5249	490	8	63	63	NUM
ejpam-5249	490	9	)	)	PUNCT
ejpam-5249	490	10	b.	b.	PROPN
ejpam-5249	490	11	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	490	12	,	,	PUNCT
ejpam-5249	490	13	r.	r.	PROPN
ejpam-5249	490	14	senthamarai	senthamarai	PROPN
ejpam-5249	490	15	/	/	SYM
ejpam-5249	490	16	eur	eur	PROPN
ejpam-5249	490	17	.	.	PUNCT
ejpam-5249	491	1	j.	j.	PROPN
ejpam-5249	491	2	pure	pure	PROPN
ejpam-5249	491	3	appl	appl	PROPN
ejpam-5249	491	4	.	.	PROPN
ejpam-5249	491	5	math	math	PROPN
ejpam-5249	491	6	,	,	PUNCT
ejpam-5249	491	7	17	17	NUM
ejpam-5249	491	8	(	(	PUNCT
ejpam-5249	491	9	3	3	NUM
ejpam-5249	491	10	)	)	PUNCT
ejpam-5249	491	11	(	(	PUNCT
ejpam-5249	491	12	2024	2024	NUM
ejpam-5249	491	13	)	)	PUNCT
ejpam-5249	491	14	,	,	PUNCT
ejpam-5249	491	15	1908	1908	NUM
ejpam-5249	491	16	-	-	SYM
ejpam-5249	491	17	1936	1936	NUM
ejpam-5249	491	18	1930	1930	NUM
ejpam-5249	491	19	c(t	c(t	PROPN
ejpam-5249	491	20	)	)	PUNCT
ejpam-5249	491	21	=	=	PROPN
ejpam-5249	491	22	lim	lim	PROPN
ejpam-5249	492	1	p→1	p→1	PROPN
ejpam-5249	492	2	c(t	c(t	PROPN
ejpam-5249	492	3	)	)	PUNCT
ejpam-5249	493	1	=	=	NUM
ejpam-5249	493	2	c0	c0	NOUN
ejpam-5249	493	3	+	+	PROPN
ejpam-5249	493	4	c1	c1	PROPN
ejpam-5249	493	5	+	+	PROPN
ejpam-5249	493	6	c2	c2	PROPN
ejpam-5249	493	7	(	(	PUNCT
ejpam-5249	493	8	64	64	NUM
ejpam-5249	493	9	)	)	PUNCT
ejpam-5249	493	10	final	final	ADJ
ejpam-5249	493	11	solution	solution	NOUN
ejpam-5249	493	12	is	be	AUX
ejpam-5249	493	13	given	give	VERB
ejpam-5249	493	14	in	in	ADP
ejpam-5249	493	15	the	the	DET
ejpam-5249	493	16	text	text	NOUN
ejpam-5249	493	17	as	as	ADP
ejpam-5249	493	18	eqs	eqs	PROPN
ejpam-5249	493	19	.	.	PUNCT
ejpam-5249	494	1	(	(	PUNCT
ejpam-5249	494	2	31	31	NUM
ejpam-5249	494	3	)	)	PUNCT
ejpam-5249	494	4	−	−	PROPN
ejpam-5249	494	5	(	(	PUNCT
ejpam-5249	494	6	33	33	NUM
ejpam-5249	494	7	)	)	PUNCT
ejpam-5249	494	8	.	.	PUNCT
ejpam-5249	495	1	10	10	NUM
ejpam-5249	495	2	.	.	NUM
ejpam-5249	495	3	approximate	approximate	ADJ
ejpam-5249	495	4	analytical	analytical	ADJ
ejpam-5249	495	5	solution	solution	NOUN
ejpam-5249	495	6	of	of	ADP
ejpam-5249	495	7	dde	dde	PROPN
ejpam-5249	495	8	by	by	ADP
ejpam-5249	495	9	using	use	VERB
ejpam-5249	495	10	homotopy	homotopy	NOUN
ejpam-5249	495	11	perturbation	perturbation	NOUN
ejpam-5249	495	12	method	method	NOUN
ejpam-5249	495	13	the	the	DET
ejpam-5249	495	14	analytical	analytical	ADJ
ejpam-5249	495	15	solutions	solution	NOUN
ejpam-5249	495	16	of	of	ADP
ejpam-5249	495	17	the	the	DET
ejpam-5249	495	18	system	system	NOUN
ejpam-5249	495	19	of	of	ADP
ejpam-5249	495	20	dde	dde	PROPN
ejpam-5249	495	21	eqs.(5	eqs.(5	PROPN
ejpam-5249	495	22	)	)	PUNCT
ejpam-5249	496	1	−	−	PROPN
ejpam-5249	496	2	(	(	PUNCT
ejpam-5249	496	3	7	7	X
ejpam-5249	496	4	)	)	PUNCT
ejpam-5249	496	5	using	use	VERB
ejpam-5249	496	6	homotopy	homotopy	NOUN
ejpam-5249	496	7	perturbation	perturbation	NOUN
ejpam-5249	496	8	method	method	NOUN
ejpam-5249	496	9	.	.	PUNCT
ejpam-5249	497	1	linear	linear	ADJ
ejpam-5249	497	2	and	and	CCONJ
ejpam-5249	497	3	non	non	ADJ
ejpam-5249	497	4	-	-	ADJ
ejpam-5249	497	5	linear	linear	ADJ
ejpam-5249	497	6	terms	term	NOUN
ejpam-5249	497	7	in	in	ADP
ejpam-5249	497	8	the	the	DET
ejpam-5249	497	9	given	give	VERB
ejpam-5249	497	10	equation	equation	NOUN
ejpam-5249	497	11	can	can	AUX
ejpam-5249	497	12	be	be	AUX
ejpam-5249	497	13	separated	separate	VERB
ejpam-5249	497	14	by	by	ADP
ejpam-5249	497	15	using	use	VERB
ejpam-5249	497	16	homotopy	homotopy	NOUN
ejpam-5249	497	17	perturbation	perturbation	NOUN
ejpam-5249	497	18	method	method	NOUN
ejpam-5249	497	19	theory	theory	NOUN
ejpam-5249	497	20	with	with	ADP
ejpam-5249	497	21	the	the	DET
ejpam-5249	497	22	initial	initial	ADJ
ejpam-5249	497	23	conditions	condition	NOUN
ejpam-5249	497	24	given	give	VERB
ejpam-5249	497	25	in	in	ADP
ejpam-5249	497	26	eq.(8	eq.(8	NUM
ejpam-5249	497	27	)	)	PUNCT
ejpam-5249	497	28	.	.	PUNCT
ejpam-5249	498	1	the	the	DET
ejpam-5249	498	2	time	time	NOUN
ejpam-5249	498	3	delay	delay	NOUN
ejpam-5249	498	4	is	be	AUX
ejpam-5249	498	5	introduced	introduce	VERB
ejpam-5249	498	6	in	in	ADP
ejpam-5249	498	7	healthy	healthy	ADJ
ejpam-5249	498	8	trees	tree	NOUN
ejpam-5249	498	9	and	and	CCONJ
ejpam-5249	498	10	whitefly	whitefly	VERB
ejpam-5249	498	11	population	population	NOUN
ejpam-5249	498	12	in	in	ADP
ejpam-5249	498	13	eq.(6	eq.(6	NOUN
ejpam-5249	498	14	)	)	PUNCT
ejpam-5249	498	15	.	.	PUNCT
ejpam-5249	499	1	[	[	X
ejpam-5249	499	2	1−p	1−p	X
ejpam-5249	499	3	]	]	X
ejpam-5249	499	4	[	[	PUNCT
ejpam-5249	499	5	dy	dy	X
ejpam-5249	499	6	dt	dt	X
ejpam-5249	499	7	+	+	PROPN
ejpam-5249	499	8	µy	µy	X
ejpam-5249	499	9	]	]	PUNCT
ejpam-5249	500	1	+	+	PUNCT
ejpam-5249	500	2	p	p	X
ejpam-5249	500	3	[	[	PUNCT
ejpam-5249	500	4	dy	dy	X
ejpam-5249	500	5	dt	dt	NOUN
ejpam-5249	500	6	+	+	CCONJ
ejpam-5249	500	7	py	py	PROPN
ejpam-5249	500	8	−αx(t	−αx(t	PROPN
ejpam-5249	500	9	−	−	PROPN
ejpam-5249	500	10	τ)c(t	τ)c(t	NOUN
ejpam-5249	500	11	−	−	PROPN
ejpam-5249	500	12	τ	τ	X
ejpam-5249	500	13	)	)	PUNCT
ejpam-5249	500	14	]	]	PUNCT
ejpam-5249	501	1	=	=	PUNCT
ejpam-5249	501	2	0	0	NUM
ejpam-5249	501	3	(	(	PUNCT
ejpam-5249	501	4	65	65	NUM
ejpam-5249	501	5	)	)	PUNCT
ejpam-5249	501	6	with	with	ADP
ejpam-5249	501	7	the	the	DET
ejpam-5249	501	8	initial	initial	ADJ
ejpam-5249	501	9	conditions	condition	NOUN
ejpam-5249	501	10	given	give	VERB
ejpam-5249	501	11	in	in	ADP
ejpam-5249	501	12	eq.(8	eq.(8	ADJ
ejpam-5249	501	13	)	)	PUNCT
ejpam-5249	502	1	x(t	x(t	PROPN
ejpam-5249	502	2	−	−	PROPN
ejpam-5249	502	3	τ	τ	PROPN
ejpam-5249	502	4	)	)	PUNCT
ejpam-5249	502	5	=	=	PUNCT
ejpam-5249	503	1	x0(t	x0(t	PROPN
ejpam-5249	503	2	−	−	PROPN
ejpam-5249	503	3	τ)+	τ)+	PROPN
ejpam-5249	504	1	px1(t	px1(t	NUM
ejpam-5249	505	1	−	−	PROPN
ejpam-5249	505	2	τ)+	τ)+	PROPN
ejpam-5249	505	3	p2x2(t	p2x2(t	PROPN
ejpam-5249	505	4	−	−	PROPN
ejpam-5249	505	5	τ)+	τ)+	NUM
ejpam-5249	505	6	...	...	PUNCT
ejpam-5249	505	7	(	(	PUNCT
ejpam-5249	505	8	66	66	NUM
ejpam-5249	505	9	)	)	PUNCT
ejpam-5249	505	10	c(t	c(t	PROPN
ejpam-5249	505	11	−	−	PROPN
ejpam-5249	505	12	τ	τ	NOUN
ejpam-5249	505	13	)	)	PUNCT
ejpam-5249	506	1	=	=	NOUN
ejpam-5249	506	2	c0(t	c0(t	VERB
ejpam-5249	506	3	−	−	PROPN
ejpam-5249	506	4	τ)+	τ)+	PROPN
ejpam-5249	506	5	pc1(t	pc1(t	ADJ
ejpam-5249	506	6	−	−	PROPN
ejpam-5249	506	7	τ)+	τ)+	PROPN
ejpam-5249	506	8	p2c2(t	p2c2(t	NOUN
ejpam-5249	506	9	−	−	PROPN
ejpam-5249	506	10	τ)+	τ)+	NUM
ejpam-5249	506	11	...	...	PUNCT
ejpam-5249	506	12	(	(	PUNCT
ejpam-5249	506	13	67	67	NUM
ejpam-5249	506	14	)	)	PUNCT
ejpam-5249	506	15	p0	p0	NOUN
ejpam-5249	506	16	:	:	PUNCT
ejpam-5249	506	17	dx0(t	dx0(t	PROPN
ejpam-5249	506	18	−	−	PROPN
ejpam-5249	506	19	τ	τ	PROPN
ejpam-5249	506	20	)	)	PUNCT
ejpam-5249	506	21	dt	dt	PROPN
ejpam-5249	506	22	−bx0(t	−bx0(t	PROPN
ejpam-5249	506	23	−	−	PROPN
ejpam-5249	506	24	τ	τ	PROPN
ejpam-5249	506	25	)	)	PUNCT
ejpam-5249	506	26	=	=	SYM
ejpam-5249	506	27	0	0	NUM
ejpam-5249	506	28	,	,	PUNCT
ejpam-5249	506	29	(	(	PUNCT
ejpam-5249	506	30	68	68	NUM
ejpam-5249	506	31	)	)	PUNCT
ejpam-5249	506	32	p1	p1	NOUN
ejpam-5249	506	33	:	:	PUNCT
ejpam-5249	506	34	dx1(t	dx1(t	ADJ
ejpam-5249	506	35	−	−	NUM
ejpam-5249	506	36	τ	τ	X
ejpam-5249	506	37	)	)	PUNCT
ejpam-5249	506	38	dt	dt	PROPN
ejpam-5249	507	1	−bx1(t	−bx1(t	PROPN
ejpam-5249	507	2	−	−	PROPN
ejpam-5249	507	3	τ)+	τ)+	PROPN
ejpam-5249	508	1	bx0(t	bx0(t	PROPN
ejpam-5249	508	2	−	−	PROPN
ejpam-5249	509	1	τ	τ	PROPN
ejpam-5249	509	2	)	)	PUNCT
ejpam-5249	509	3	v	v	PROPN
ejpam-5249	509	4	+	+	CCONJ
ejpam-5249	510	1	bx0(t	bx0(t	PROPN
ejpam-5249	510	2	−	−	PROPN
ejpam-5249	511	1	τ)y0	τ)y0	PROPN
ejpam-5249	511	2	v	v	PROPN
ejpam-5249	511	3	+	+	PROPN
ejpam-5249	511	4	ax0(t	ax0(t	PROPN
ejpam-5249	511	5	−	−	PROPN
ejpam-5249	512	1	τ)c0(t	τ)c0(t	X
ejpam-5249	512	2	−	−	PROPN
ejpam-5249	512	3	τ	τ	X
ejpam-5249	512	4	)	)	PUNCT
ejpam-5249	512	5	=	=	SYM
ejpam-5249	512	6	0	0	NUM
ejpam-5249	512	7	,	,	PUNCT
ejpam-5249	512	8	(	(	PUNCT
ejpam-5249	512	9	69	69	NUM
ejpam-5249	512	10	)	)	PUNCT
ejpam-5249	512	11	p2	p2	PROPN
ejpam-5249	512	12	:	:	PUNCT
ejpam-5249	512	13	dx2(t	dx2(t	PROPN
ejpam-5249	512	14	−	−	PROPN
ejpam-5249	512	15	τ	τ	NOUN
ejpam-5249	512	16	)	)	PUNCT
ejpam-5249	512	17	dt	dt	PROPN
ejpam-5249	512	18	−bx2(t	−bx2(t	PROPN
ejpam-5249	512	19	−	−	PROPN
ejpam-5249	512	20	τ)+	τ)+	PROPN
ejpam-5249	512	21	bx1(t	bx1(t	VERB
ejpam-5249	512	22	−	−	PROPN
ejpam-5249	512	23	τ	τ	PROPN
ejpam-5249	512	24	)	)	PUNCT
ejpam-5249	512	25	k	k	PROPN
ejpam-5249	513	1	+	+	CCONJ
ejpam-5249	513	2	bx0(t	bx0(t	PROPN
ejpam-5249	513	3	−	−	ADP
ejpam-5249	513	4	τ)y1	τ)y1	PROPN
ejpam-5249	513	5	v	v	ADP
ejpam-5249	513	6	+	+	ADV
ejpam-5249	513	7	bx1(t	bx1(t	VERB
ejpam-5249	513	8	−	−	PROPN
ejpam-5249	514	1	τ)y0	τ)y0	PROPN
ejpam-5249	514	2	+	+	PROPN
ejpam-5249	514	3	ax0(t	ax0(t	PROPN
ejpam-5249	514	4	−	−	PUNCT
ejpam-5249	515	1	τ)c1(t	τ)c1(t	PROPN
ejpam-5249	515	2	−	−	PROPN
ejpam-5249	515	3	τ	τ	NOUN
ejpam-5249	515	4	)	)	PUNCT
ejpam-5249	515	5	=	=	SYM
ejpam-5249	515	6	0	0	PUNCT
ejpam-5249	515	7	(	(	PUNCT
ejpam-5249	515	8	70	70	NUM
ejpam-5249	515	9	)	)	PUNCT
ejpam-5249	515	10	p0	p0	NOUN
ejpam-5249	515	11	:	:	PUNCT
ejpam-5249	515	12	dy0	dy0	NOUN
ejpam-5249	515	13	dt	dt	X
ejpam-5249	516	1	+	+	NOUN
ejpam-5249	516	2	µy0	µy0	X
ejpam-5249	516	3	=	=	SYM
ejpam-5249	516	4	0	0	NUM
ejpam-5249	516	5	,	,	PUNCT
ejpam-5249	516	6	(	(	PUNCT
ejpam-5249	516	7	71	71	NUM
ejpam-5249	516	8	)	)	PUNCT
ejpam-5249	516	9	p1	p1	NOUN
ejpam-5249	516	10	:	:	PUNCT
ejpam-5249	516	11	dy1	dy1	NOUN
ejpam-5249	516	12	dt	dt	NOUN
ejpam-5249	517	1	+	+	CCONJ
ejpam-5249	518	1	py1	py1	NOUN
ejpam-5249	518	2	−αx0(t	−αx0(t	ADJ
ejpam-5249	518	3	−	−	PROPN
ejpam-5249	519	1	τ)c0(t	τ)c0(t	X
ejpam-5249	519	2	−	−	PROPN
ejpam-5249	519	3	τ	τ	X
ejpam-5249	519	4	)	)	PUNCT
ejpam-5249	519	5	=	=	SYM
ejpam-5249	519	6	0	0	NUM
ejpam-5249	519	7	,	,	PUNCT
ejpam-5249	519	8	(	(	PUNCT
ejpam-5249	519	9	72	72	NUM
ejpam-5249	519	10	)	)	PUNCT
ejpam-5249	519	11	p2	p2	PROPN
ejpam-5249	519	12	:	:	PUNCT
ejpam-5249	520	1	dy2	dy2	PROPN
ejpam-5249	520	2	dt	dt	X
ejpam-5249	521	1	−	−	PROPN
ejpam-5249	521	2	py2	py2	PROPN
ejpam-5249	521	3	−αx0(t	−αx0(t	ADJ
ejpam-5249	521	4	−	−	PROPN
ejpam-5249	521	5	τ)c1(t	τ)c1(t	PROPN
ejpam-5249	521	6	−	−	PROPN
ejpam-5249	521	7	τ)−αx1(t	τ)−αx1(t	ADJ
ejpam-5249	521	8	−	−	X
ejpam-5249	522	1	τ)c0(t	τ)c0(t	X
ejpam-5249	522	2	−	−	PROPN
ejpam-5249	522	3	τ	τ	X
ejpam-5249	522	4	)	)	PUNCT
ejpam-5249	522	5	=	=	SYM
ejpam-5249	522	6	0	0	NUM
ejpam-5249	522	7	,	,	PUNCT
ejpam-5249	522	8	p0	p0	NOUN
ejpam-5249	522	9	:	:	PUNCT
ejpam-5249	523	1	dc0	dc0	NOUN
ejpam-5249	523	2	dt	dt	NOUN
ejpam-5249	524	1	+	+	NUM
ejpam-5249	524	2	sc0	sc0	NOUN
ejpam-5249	524	3	=	=	SYM
ejpam-5249	524	4	0	0	NUM
ejpam-5249	524	5	,	,	PUNCT
ejpam-5249	524	6	(	(	PUNCT
ejpam-5249	524	7	73	73	NUM
ejpam-5249	524	8	)	)	PUNCT
ejpam-5249	524	9	p1	p1	NOUN
ejpam-5249	524	10	:	:	PUNCT
ejpam-5249	524	11	dc1(t	dc1(t	NOUN
ejpam-5249	524	12	−	−	PROPN
ejpam-5249	524	13	τ	τ	PROPN
ejpam-5249	524	14	)	)	PUNCT
ejpam-5249	524	15	dt	dt	PROPN
ejpam-5249	525	1	+	+	CCONJ
ejpam-5249	526	1	sc1(t	sc1(t	ADJ
ejpam-5249	526	2	−	−	NOUN
ejpam-5249	526	3	τ)−wy0	τ)−wy0	NOUN
ejpam-5249	526	4	=	=	PROPN
ejpam-5249	526	5	0	0	NUM
ejpam-5249	526	6	,	,	PUNCT
ejpam-5249	526	7	(	(	PUNCT
ejpam-5249	526	8	74	74	X
ejpam-5249	526	9	)	)	PUNCT
ejpam-5249	526	10	p2	p2	NOUN
ejpam-5249	526	11	:	:	PUNCT
ejpam-5249	527	1	dc2(t	dc2(t	PROPN
ejpam-5249	527	2	−	−	PROPN
ejpam-5249	527	3	τ	τ	NOUN
ejpam-5249	527	4	)	)	PUNCT
ejpam-5249	527	5	dt	dt	PUNCT
ejpam-5249	528	1	+	+	CCONJ
ejpam-5249	528	2	sc2(t	sc2(t	ADJ
ejpam-5249	528	3	−	−	NOUN
ejpam-5249	528	4	τ)−wy1	τ)−wy1	NOUN
ejpam-5249	528	5	=	=	SYM
ejpam-5249	528	6	0	0	NUM
ejpam-5249	528	7	.	.	PUNCT
ejpam-5249	529	1	(	(	PUNCT
ejpam-5249	529	2	75	75	NUM
ejpam-5249	529	3	)	)	PUNCT
ejpam-5249	529	4	b.	b.	PROPN
ejpam-5249	529	5	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	529	6	,	,	PUNCT
ejpam-5249	529	7	r.	r.	PROPN
ejpam-5249	529	8	senthamarai	senthamarai	PROPN
ejpam-5249	529	9	/	/	SYM
ejpam-5249	529	10	eur	eur	PROPN
ejpam-5249	529	11	.	.	PUNCT
ejpam-5249	530	1	j.	j.	PROPN
ejpam-5249	530	2	pure	pure	PROPN
ejpam-5249	530	3	appl	appl	PROPN
ejpam-5249	530	4	.	.	PROPN
ejpam-5249	530	5	math	math	PROPN
ejpam-5249	530	6	,	,	PUNCT
ejpam-5249	530	7	17	17	NUM
ejpam-5249	530	8	(	(	PUNCT
ejpam-5249	530	9	3	3	NUM
ejpam-5249	530	10	)	)	PUNCT
ejpam-5249	530	11	(	(	PUNCT
ejpam-5249	530	12	2024	2024	NUM
ejpam-5249	530	13	)	)	PUNCT
ejpam-5249	530	14	,	,	PUNCT
ejpam-5249	530	15	1908	1908	NUM
ejpam-5249	530	16	-	-	SYM
ejpam-5249	530	17	1936	1936	NUM
ejpam-5249	530	18	1931	1931	NUM
ejpam-5249	530	19	x0	x0	PROPN
ejpam-5249	530	20	=	=	PUNCT
ejpam-5249	530	21	lebt	lebt	PROPN
ejpam-5249	530	22	,	,	PUNCT
ejpam-5249	530	23	y0	y0	NOUN
ejpam-5249	530	24	=	=	SYM
ejpam-5249	530	25	me−µt	me−µt	X
ejpam-5249	530	26	,	,	PUNCT
ejpam-5249	530	27	c0	c0	NOUN
ejpam-5249	530	28	=	=	X
ejpam-5249	530	29	ne−st	ne−st	PRON
ejpam-5249	530	30	.	.	PUNCT
ejpam-5249	531	1	(	(	PUNCT
ejpam-5249	531	2	76	76	NUM
ejpam-5249	531	3	)	)	PUNCT
ejpam-5249	531	4	x1(t	x1(t	X
ejpam-5249	531	5	)	)	PUNCT
ejpam-5249	531	6	=	=	PRON
ejpam-5249	532	1	(	(	PUNCT
ejpam-5249	532	2	−	−	PUNCT
ejpam-5249	532	3	l(lebt	l(lebt	PROPN
ejpam-5249	532	4	−	−	PROPN
ejpam-5249	532	5	mbe−µt	mbe−µt	PROPN
ejpam-5249	532	6	µ	µ	X
ejpam-5249	532	7	−	−	PROPN
ejpam-5249	532	8	vane−µt	vane−µt	PROPN
ejpam-5249	532	9	s	s	PART
ejpam-5249	532	10	)	)	PUNCT
ejpam-5249	532	11	v	v	NOUN
ejpam-5249	532	12	+	+	X
ejpam-5249	532	13	l(l	l(l	NOUN
ejpam-5249	532	14	−	−	NOUN
ejpam-5249	532	15	mb	mb	ADP
ejpam-5249	532	16	µ	µ	PROPN
ejpam-5249	532	17	−	−	PROPN
ejpam-5249	532	18	van	van	PROPN
ejpam-5249	532	19	s	s	PART
ejpam-5249	532	20	)	)	PUNCT
ejpam-5249	532	21	v	v	NOUN
ejpam-5249	532	22	)	)	PUNCT
ejpam-5249	532	23	ebt	ebt	PROPN
ejpam-5249	532	24	(	(	PUNCT
ejpam-5249	532	25	77	77	NUM
ejpam-5249	532	26	)	)	PUNCT
ejpam-5249	532	27	y1(t	y1(t	PROPN
ejpam-5249	532	28	)	)	PUNCT
ejpam-5249	532	29	=	=	NOUN
ejpam-5249	533	1	(	(	PUNCT
ejpam-5249	533	2	a	a	DET
ejpam-5249	533	3	lnebt−bτ−st+sτ	lnebt−bτ−st+sτ	PROPN
ejpam-5249	533	4	µ	µ	PROPN
ejpam-5249	533	5	+	+	PROPN
ejpam-5249	533	6	b−	b−	PROPN
ejpam-5249	533	7	s	s	PART
ejpam-5249	533	8	−	−	PROPN
ejpam-5249	533	9	e−µta	e−µta	NOUN
ejpam-5249	533	10	lne−bτ+sτ	lne−bτ+sτ	PROPN
ejpam-5249	533	11	µ	µ	PROPN
ejpam-5249	533	12	+	+	PROPN
ejpam-5249	533	13	b−	b−	PROPN
ejpam-5249	533	14	s	s	PART
ejpam-5249	533	15	)	)	PUNCT
ejpam-5249	533	16	(	(	PUNCT
ejpam-5249	533	17	78	78	X
ejpam-5249	533	18	)	)	PUNCT
ejpam-5249	533	19	c1(t	c1(t	NOUN
ejpam-5249	533	20	)	)	PUNCT
ejpam-5249	533	21	=	=	SYM
ejpam-5249	533	22	(	(	PUNCT
ejpam-5249	533	23	−wme−t(−s+µ	−wme−t(−s+µ	ADJ
ejpam-5249	533	24	)	)	PUNCT
ejpam-5249	533	25	−s+µ	−s+µ	NOUN
ejpam-5249	533	26	+	+	CCONJ
ejpam-5249	533	27	wm	wm	PROPN
ejpam-5249	533	28	−s+µ	−s+µ	NOUN
ejpam-5249	533	29	)	)	PUNCT
ejpam-5249	533	30	e−st	e−st	PROPN
ejpam-5249	533	31	(	(	PUNCT
ejpam-5249	533	32	79	79	NUM
ejpam-5249	533	33	)	)	PUNCT
ejpam-5249	533	34	x2(t	x2(t	PROPN
ejpam-5249	533	35	)	)	PUNCT
ejpam-5249	534	1	=	=	PRON
ejpam-5249	534	2	(	(	PUNCT
ejpam-5249	534	3	a	a	DET
ejpam-5249	534	4	lnebt−bτ−st+sτ	lnebt−bτ−st+sτ	PROPN
ejpam-5249	534	5	µ	µ	PROPN
ejpam-5249	534	6	+	+	PROPN
ejpam-5249	534	7	b−	b−	PROPN
ejpam-5249	534	8	s	s	PART
ejpam-5249	534	9	−	−	PROPN
ejpam-5249	534	10	e−µta	e−µta	NOUN
ejpam-5249	534	11	lne−bτ+sτ	lne−bτ+sτ	PROPN
ejpam-5249	534	12	µ	µ	PROPN
ejpam-5249	534	13	+	+	PROPN
ejpam-5249	534	14	b−	b−	PROPN
ejpam-5249	534	15	s	s	PART
ejpam-5249	534	16	)	)	PUNCT
ejpam-5249	535	1	+	+	CCONJ
ejpam-5249	535	2	(	(	PUNCT
ejpam-5249	535	3	1	1	NUM
ejpam-5249	535	4	(	(	PUNCT
ejpam-5249	535	5	µ	µ	X
ejpam-5249	535	6	+	+	NOUN
ejpam-5249	535	7	b−	b−	PROPN
ejpam-5249	535	8	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	535	9	(	(	PUNCT
ejpam-5249	535	10	al	al	PROPN
ejpam-5249	535	11	(	(	PUNCT
ejpam-5249	535	12	(	(	PUNCT
ejpam-5249	535	13	µ	µ	X
ejpam-5249	535	14	+	+	NOUN
ejpam-5249	535	15	b	b	NOUN
ejpam-5249	535	16	−	−	PROPN
ejpam-5249	535	17	s	s	NOUN
ejpam-5249	535	18	)	)	PUNCT
ejpam-5249	535	19	(	(	PUNCT
ejpam-5249	535	20	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	PROPN
ejpam-5249	535	21	µ	µ	PROPN
ejpam-5249	535	22	+	+	PROPN
ejpam-5249	535	23	b−2s	b−2s	NOUN
ejpam-5249	535	24	+	+	X
ejpam-5249	535	25	mnbs(−s+µ)e(µ+s)τ+t(b−s	mnbs(−s+µ)e(µ+s)τ+t(b−s	X
ejpam-5249	535	26	)	)	PUNCT
ejpam-5249	535	27	b−	b−	PROPN
ejpam-5249	535	28	s	s	PART
ejpam-5249	535	29	−	−	PROPN
ejpam-5249	535	30	n((avn−	n((avn−	PROPN
ejpam-5249	535	31	ls)µ	ls)µ	PROPN
ejpam-5249	535	32	+	+	PROPN
ejpam-5249	535	33	mbs)(−s+µ)e(µ+b−s)t+sτ	mbs)(−s+µ)e(µ+b−s)t+sτ	PROPN
ejpam-5249	535	34	µ	µ	X
ejpam-5249	535	35	+	+	PROPN
ejpam-5249	535	36	b−	b−	PROPN
ejpam-5249	535	37	s	s	PART
ejpam-5249	535	38	−	−	PROPN
ejpam-5249	535	39	lnµs(−s+µ)e(µ+2b−s)t+sτ	lnµs(−s+µ)e(µ+2b−s)t+sτ	NOUN
ejpam-5249	535	40	µ	µ	PRON
ejpam-5249	535	41	+2b−	+2b−	ADP
ejpam-5249	535	42	s	s	PROPN
ejpam-5249	535	43	−	−	PROPN
ejpam-5249	535	44	vmµwse(µ−b)τ+bt	vmµwse(µ−b)τ+bt	PROPN
ejpam-5249	535	45	b	b	PROPN
ejpam-5249	535	46	)	)	PUNCT
ejpam-5249	536	1	+	+	CCONJ
ejpam-5249	536	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	536	3	+	+	NOUN
ejpam-5249	536	4	(	(	PUNCT
ejpam-5249	536	5	mw+	mw+	ADJ
ejpam-5249	536	6	sn)µ	sn)µ	PROPN
ejpam-5249	536	7	+	+	NOUN
ejpam-5249	536	8	mw(b−	mw(b−	NOUN
ejpam-5249	536	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	536	10	)	)	PUNCT
ejpam-5249	536	11	µ	µ	NOUN
ejpam-5249	536	12	+	+	ADP
ejpam-5249	536	13	b−	b−	PROPN
ejpam-5249	536	14	s	s	PART
ejpam-5249	536	15	+	+	PROPN
ejpam-5249	536	16	te−τ(b−s)vnµ	te−τ(b−s)vnµ	PROPN
ejpam-5249	536	17	3s−	3s−	NUM
ejpam-5249	536	18	te−τ(b−s)vnµ	te−τ(b−s)vnµ	NOUN
ejpam-5249	536	19	2s2	2s2	NUM
ejpam-5249	536	20	)	)	PUNCT
ejpam-5249	536	21	)	)	PUNCT
ejpam-5249	537	1	−	−	PROPN
ejpam-5249	537	2	(	(	PUNCT
ejpam-5249	537	3	1	1	NUM
ejpam-5249	537	4	(	(	PUNCT
ejpam-5249	537	5	µ	µ	X
ejpam-5249	537	6	+	+	NOUN
ejpam-5249	537	7	b−	b−	PROPN
ejpam-5249	537	8	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	537	9	(	(	PUNCT
ejpam-5249	537	10	al	al	PROPN
ejpam-5249	537	11	(	(	PUNCT
ejpam-5249	537	12	(	(	PUNCT
ejpam-5249	537	13	µ	µ	X
ejpam-5249	537	14	+	+	NOUN
ejpam-5249	537	15	b−	b−	NOUN
ejpam-5249	537	16	s	s	PART
ejpam-5249	537	17	)	)	PUNCT
ejpam-5249	537	18	(	(	PUNCT
ejpam-5249	537	19	avn2µ(−s+µ)e2sτ	avn2µ(−s+µ)e2sτ	PROPN
ejpam-5249	537	20	µ	µ	X
ejpam-5249	537	21	+	+	NOUN
ejpam-5249	537	22	b−2s	b−2s	NOUN
ejpam-5249	537	23	+	+	CCONJ
ejpam-5249	537	24	mnbs(−s+µ)e(µ+s)τ	mnbs(−s+µ)e(µ+s)τ	NOUN
ejpam-5249	537	25	b−	b−	PROPN
ejpam-5249	537	26	s	s	PART
ejpam-5249	537	27	−	−	PROPN
ejpam-5249	537	28	n((avn−	n((avn−	PROPN
ejpam-5249	537	29	ls)µ	ls)µ	PROPN
ejpam-5249	538	1	+	+	PROPN
ejpam-5249	538	2	mbs)(−s+µ)esτ	mbs)(−s+µ)esτ	PROPN
ejpam-5249	538	3	µ	µ	X
ejpam-5249	538	4	+	+	ADP
ejpam-5249	538	5	b−	b−	PROPN
ejpam-5249	538	6	s	s	PART
ejpam-5249	538	7	−	−	PROPN
ejpam-5249	538	8	lnµs(−s+µ)esτ	lnµs(−s+µ)esτ	NOUN
ejpam-5249	538	9	µ	µ	X
ejpam-5249	538	10	+2b−	+2b−	ADP
ejpam-5249	538	11	s	s	NOUN
ejpam-5249	538	12	−	−	PROPN
ejpam-5249	538	13	vmµwse(µ−b)τ	vmµwse(µ−b)τ	NOUN
ejpam-5249	538	14	b	b	NOUN
ejpam-5249	538	15	)	)	PUNCT
ejpam-5249	539	1	+	+	CCONJ
ejpam-5249	539	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	539	3	+	+	NOUN
ejpam-5249	539	4	(	(	PUNCT
ejpam-5249	539	5	mw+	mw+	ADJ
ejpam-5249	539	6	sn)µ	sn)µ	PROPN
ejpam-5249	539	7	+	+	NOUN
ejpam-5249	539	8	mw(b−	mw(b−	NOUN
ejpam-5249	539	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	539	10	)	)	PUNCT
ejpam-5249	539	11	µ	µ	NOUN
ejpam-5249	539	12	+	+	PROPN
ejpam-5249	539	13	b−	b−	PROPN
ejpam-5249	539	14	s	s	PART
ejpam-5249	539	15	)	)	PUNCT
ejpam-5249	539	16	)	)	PUNCT
ejpam-5249	539	17	)	)	PUNCT
ejpam-5249	540	1	e−µt	e−µt	PROPN
ejpam-5249	540	2	(	(	PUNCT
ejpam-5249	540	3	80	80	NUM
ejpam-5249	540	4	)	)	PUNCT
ejpam-5249	540	5	y2(t	y2(t	PROPN
ejpam-5249	540	6	)	)	PUNCT
ejpam-5249	540	7	=	=	PUNCT
ejpam-5249	540	8	(	(	PUNCT
ejpam-5249	540	9	1	1	NUM
ejpam-5249	540	10	(	(	PUNCT
ejpam-5249	540	11	µ	µ	X
ejpam-5249	540	12	+	+	NOUN
ejpam-5249	540	13	b−	b−	PROPN
ejpam-5249	540	14	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	540	15	(	(	PUNCT
ejpam-5249	540	16	al	al	PROPN
ejpam-5249	540	17	(	(	PUNCT
ejpam-5249	540	18	(	(	PUNCT
ejpam-5249	540	19	µ	µ	X
ejpam-5249	540	20	+	+	NOUN
ejpam-5249	540	21	b−	b−	NOUN
ejpam-5249	540	22	s	s	PART
ejpam-5249	540	23	)	)	PUNCT
ejpam-5249	540	24	(	(	PUNCT
ejpam-5249	540	25	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	avn2µ(−s+µ)e(µ+b−2s)t+2sτ	PROPN
ejpam-5249	540	26	µ	µ	PROPN
ejpam-5249	540	27	+	+	PROPN
ejpam-5249	540	28	b−2s	b−2s	NOUN
ejpam-5249	540	29	+	+	X
ejpam-5249	540	30	mnbs(−s+µ)e(µ+s)τ+t(b−s	mnbs(−s+µ)e(µ+s)τ+t(b−s	X
ejpam-5249	540	31	)	)	PUNCT
ejpam-5249	540	32	b−	b−	PROPN
ejpam-5249	540	33	s	s	PART
ejpam-5249	540	34	−	−	PROPN
ejpam-5249	540	35	n((avn−	n((avn−	PROPN
ejpam-5249	540	36	ls)µ	ls)µ	PROPN
ejpam-5249	541	1	+	+	PROPN
ejpam-5249	541	2	mbs)(−s+µ)e(µ+b−s)t+sτ	mbs)(−s+µ)e(µ+b−s)t+sτ	PROPN
ejpam-5249	541	3	µ	µ	X
ejpam-5249	541	4	+	+	PROPN
ejpam-5249	541	5	b−	b−	PROPN
ejpam-5249	541	6	s	s	PROPN
ejpam-5249	541	7	b.	b.	PROPN
ejpam-5249	541	8	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	541	9	,	,	PUNCT
ejpam-5249	541	10	r.	r.	PROPN
ejpam-5249	541	11	senthamarai	senthamarai	PROPN
ejpam-5249	541	12	/	/	SYM
ejpam-5249	541	13	eur	eur	PROPN
ejpam-5249	541	14	.	.	PUNCT
ejpam-5249	542	1	j.	j.	PROPN
ejpam-5249	542	2	pure	pure	PROPN
ejpam-5249	542	3	appl	appl	PROPN
ejpam-5249	542	4	.	.	PROPN
ejpam-5249	542	5	math	math	PROPN
ejpam-5249	542	6	,	,	PUNCT
ejpam-5249	542	7	17	17	NUM
ejpam-5249	542	8	(	(	PUNCT
ejpam-5249	542	9	3	3	NUM
ejpam-5249	542	10	)	)	PUNCT
ejpam-5249	542	11	(	(	PUNCT
ejpam-5249	542	12	2024	2024	NUM
ejpam-5249	542	13	)	)	PUNCT
ejpam-5249	542	14	,	,	PUNCT
ejpam-5249	542	15	1908	1908	NUM
ejpam-5249	542	16	-	-	SYM
ejpam-5249	542	17	1936	1936	NUM
ejpam-5249	542	18	1932	1932	NUM
ejpam-5249	542	19	−	−	NOUN
ejpam-5249	542	20	lnµs(−s+µ)e(µ+2b−s)t+sτ	lnµs(−s+µ)e(µ+2b−s)t+sτ	PROPN
ejpam-5249	542	21	µ	µ	PRON
ejpam-5249	542	22	+2b−	+2b−	ADP
ejpam-5249	542	23	s	s	PROPN
ejpam-5249	542	24	−	−	PROPN
ejpam-5249	542	25	vmµwse(µ−b)τ+bt	vmµwse(µ−b)τ+bt	PROPN
ejpam-5249	542	26	b	b	PROPN
ejpam-5249	542	27	)	)	PUNCT
ejpam-5249	543	1	+	+	CCONJ
ejpam-5249	543	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	543	3	+	+	NOUN
ejpam-5249	543	4	(	(	PUNCT
ejpam-5249	543	5	mw+	mw+	ADJ
ejpam-5249	543	6	sn)µ	sn)µ	PROPN
ejpam-5249	543	7	+	+	NOUN
ejpam-5249	543	8	mw(b−	mw(b−	NOUN
ejpam-5249	543	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	543	10	)	)	PUNCT
ejpam-5249	543	11	µ	µ	NOUN
ejpam-5249	543	12	+	+	ADP
ejpam-5249	543	13	b−	b−	PROPN
ejpam-5249	543	14	s	s	PART
ejpam-5249	543	15	+	+	PROPN
ejpam-5249	543	16	te−τ(b−s)vnµ	te−τ(b−s)vnµ	PROPN
ejpam-5249	543	17	3s−	3s−	NUM
ejpam-5249	543	18	te−τ(b−s)vnµ	te−τ(b−s)vnµ	NOUN
ejpam-5249	543	19	2s2	2s2	NUM
ejpam-5249	543	20	)	)	PUNCT
ejpam-5249	543	21	)	)	PUNCT
ejpam-5249	544	1	−	−	PROPN
ejpam-5249	544	2	(	(	PUNCT
ejpam-5249	544	3	1	1	NUM
ejpam-5249	544	4	(	(	PUNCT
ejpam-5249	544	5	µ	µ	X
ejpam-5249	544	6	+	+	NOUN
ejpam-5249	544	7	b−	b−	PROPN
ejpam-5249	544	8	s)(−s+µ)µsv	s)(−s+µ)µsv	PROPN
ejpam-5249	544	9	(	(	PUNCT
ejpam-5249	544	10	al	al	PROPN
ejpam-5249	544	11	(	(	PUNCT
ejpam-5249	544	12	(	(	PUNCT
ejpam-5249	544	13	µ	µ	X
ejpam-5249	544	14	+	+	NOUN
ejpam-5249	544	15	b−	b−	NOUN
ejpam-5249	544	16	s	s	PART
ejpam-5249	544	17	)	)	PUNCT
ejpam-5249	544	18	(	(	PUNCT
ejpam-5249	544	19	avn2µ(−s+µ)e2sτ	avn2µ(−s+µ)e2sτ	PROPN
ejpam-5249	544	20	µ	µ	X
ejpam-5249	544	21	+	+	NOUN
ejpam-5249	544	22	b−2s	b−2s	NOUN
ejpam-5249	544	23	+	+	CCONJ
ejpam-5249	544	24	mnbs(−s+µ)e(µ+s)τ	mnbs(−s+µ)e(µ+s)τ	NOUN
ejpam-5249	544	25	b−	b−	PROPN
ejpam-5249	544	26	s	s	PART
ejpam-5249	544	27	−	−	PROPN
ejpam-5249	544	28	n((avn−	n((avn−	PROPN
ejpam-5249	544	29	ls)µ	ls)µ	PROPN
ejpam-5249	545	1	+	+	PROPN
ejpam-5249	545	2	mbs)(−s+µ)esτ	mbs)(−s+µ)esτ	PROPN
ejpam-5249	545	3	µ	µ	X
ejpam-5249	545	4	+	+	ADP
ejpam-5249	545	5	b−	b−	PROPN
ejpam-5249	545	6	s	s	PART
ejpam-5249	545	7	−	−	PROPN
ejpam-5249	545	8	lnµs(−s+µ)esτ	lnµs(−s+µ)esτ	NOUN
ejpam-5249	545	9	µ	µ	X
ejpam-5249	545	10	+2b−	+2b−	ADP
ejpam-5249	545	11	s	s	NOUN
ejpam-5249	545	12	−	−	PROPN
ejpam-5249	545	13	vmµwse(µ−b)τ	vmµwse(µ−b)τ	NOUN
ejpam-5249	545	14	b	b	NOUN
ejpam-5249	545	15	)	)	PUNCT
ejpam-5249	546	1	+	+	CCONJ
ejpam-5249	546	2	µ(−nµ2	µ(−nµ2	X
ejpam-5249	546	3	+	+	NOUN
ejpam-5249	546	4	(	(	PUNCT
ejpam-5249	546	5	mw+	mw+	ADJ
ejpam-5249	546	6	sn)µ	sn)µ	PROPN
ejpam-5249	546	7	+	+	NOUN
ejpam-5249	546	8	mw(b−	mw(b−	NOUN
ejpam-5249	546	9	s))vse(µ+b−s)t−τ(b−s	s))vse(µ+b−s)t−τ(b−s	NOUN
ejpam-5249	546	10	)	)	PUNCT
ejpam-5249	546	11	µ	µ	NOUN
ejpam-5249	546	12	+	+	PROPN
ejpam-5249	546	13	b−	b−	PROPN
ejpam-5249	546	14	s	s	PART
ejpam-5249	546	15	)	)	PUNCT
ejpam-5249	546	16	)	)	PUNCT
ejpam-5249	546	17	)	)	PUNCT
ejpam-5249	547	1	e−µt	e−µt	PROPN
ejpam-5249	547	2	(	(	PUNCT
ejpam-5249	547	3	81	81	NUM
ejpam-5249	547	4	)	)	PUNCT
ejpam-5249	547	5	c2(t	c2(t	PROPN
ejpam-5249	547	6	)	)	PUNCT
ejpam-5249	547	7	=	=	SYM
ejpam-5249	547	8	a	a	VERB
ejpam-5249	547	9	ln	ln	X
ejpam-5249	547	10	(	(	PUNCT
ejpam-5249	547	11	webt−bτ+sτ	webt−bτ+sτ	PROPN
ejpam-5249	547	12	b	b	PROPN
ejpam-5249	547	13	)	)	PUNCT
ejpam-5249	547	14	−	−	PROPN
ejpam-5249	547	15	(	(	PUNCT
ejpam-5249	547	16	e−µt−bτ+st+sτ	e−µt−bτ+st+sτ	NOUN
ejpam-5249	547	17	−µ+s	−µ+	NOUN
ejpam-5249	547	18	)	)	PUNCT
ejpam-5249	547	19	µ	µ	X
ejpam-5249	547	20	+	+	ADP
ejpam-5249	547	21	b−	b−	PROPN
ejpam-5249	547	22	s	s	PART
ejpam-5249	547	23	−	−	PROPN
ejpam-5249	547	24	a	a	DET
ejpam-5249	547	25	ln	ln	NOUN
ejpam-5249	547	26	(	(	PUNCT
ejpam-5249	547	27	we−bτ+sτ	we−bτ+sτ	PROPN
ejpam-5249	547	28	b	b	PROPN
ejpam-5249	547	29	)	)	PUNCT
ejpam-5249	547	30	−	−	PROPN
ejpam-5249	547	31	(	(	PUNCT
ejpam-5249	547	32	e−bτ+sτ	e−bτ+sτ	X
ejpam-5249	547	33	−µ+s	−µ+	NOUN
ejpam-5249	547	34	)	)	PUNCT
ejpam-5249	547	35	µ	µ	X
ejpam-5249	547	36	+	+	ADP
ejpam-5249	547	37	b−	b−	PROPN
ejpam-5249	547	38	s	s	PART
ejpam-5249	547	39	e−st	e−st	PROPN
ejpam-5249	547	40	(	(	PUNCT
ejpam-5249	547	41	82	82	NUM
ejpam-5249	547	42	)	)	PUNCT
ejpam-5249	547	43	following	follow	VERB
ejpam-5249	547	44	same	same	ADJ
ejpam-5249	547	45	as	as	ADP
ejpam-5249	547	46	eqs.(59	eqs.(59	PROPN
ejpam-5249	547	47	)	)	PUNCT
ejpam-5249	547	48	−	−	PROPN
ejpam-5249	547	49	(	(	PUNCT
ejpam-5249	547	50	64	64	NUM
ejpam-5249	547	51	)	)	PUNCT
ejpam-5249	547	52	.	.	PUNCT
ejpam-5249	548	1	final	final	ADJ
ejpam-5249	548	2	solution	solution	NOUN
ejpam-5249	548	3	is	be	AUX
ejpam-5249	548	4	given	give	VERB
ejpam-5249	548	5	in	in	ADP
ejpam-5249	548	6	the	the	DET
ejpam-5249	548	7	text	text	NOUN
ejpam-5249	548	8	as	as	ADP
ejpam-5249	548	9	eqs.(34	eqs.(34	NOUN
ejpam-5249	548	10	)	)	PUNCT
ejpam-5249	548	11	−	−	PROPN
ejpam-5249	548	12	(	(	PUNCT
ejpam-5249	548	13	36	36	NUM
ejpam-5249	548	14	)	)	PUNCT
ejpam-5249	548	15	.	.	PUNCT
ejpam-5249	549	1	b.	b.	PROPN
ejpam-5249	549	2	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	549	3	,	,	PUNCT
ejpam-5249	549	4	r.	r.	PROPN
ejpam-5249	549	5	senthamarai	senthamarai	PROPN
ejpam-5249	549	6	/	/	SYM
ejpam-5249	549	7	eur	eur	PROPN
ejpam-5249	549	8	.	.	PUNCT
ejpam-5249	550	1	j.	j.	PROPN
ejpam-5249	550	2	pure	pure	PROPN
ejpam-5249	550	3	appl	appl	PROPN
ejpam-5249	550	4	.	.	PROPN
ejpam-5249	550	5	math	math	PROPN
ejpam-5249	550	6	,	,	PUNCT
ejpam-5249	550	7	17	17	NUM
ejpam-5249	550	8	(	(	PUNCT
ejpam-5249	550	9	3	3	NUM
ejpam-5249	550	10	)	)	PUNCT
ejpam-5249	550	11	(	(	PUNCT
ejpam-5249	550	12	2024	2024	NUM
ejpam-5249	550	13	)	)	PUNCT
ejpam-5249	550	14	,	,	PUNCT
ejpam-5249	550	15	1908	1908	NUM
ejpam-5249	550	16	-	-	SYM
ejpam-5249	550	17	1936	1936	NUM
ejpam-5249	550	18	1933	1933	NUM
ejpam-5249	551	1	ta	ta	X
ejpam-5249	551	2	bl	bl	PROPN
ejpam-5249	551	3	e	e	PROPN
ejpam-5249	551	4	2	2	NUM
ejpam-5249	551	5	:	:	PUNCT
ejpam-5249	551	6	o	o	NOUN
ejpam-5249	551	7	bs	bs	INTJ
ejpam-5249	551	8	er	er	INTJ
ejpam-5249	551	9	va	va	NOUN
ejpam-5249	551	10	tio	tio	PROPN
ejpam-5249	551	11	n	n	PROPN
ejpam-5249	551	12	of	of	ADP
ejpam-5249	551	13	nu	nu	INTJ
ejpam-5249	551	14	m	m	ADJ
ejpam-5249	552	1	er	er	INTJ
ejpam-5249	552	2	ic	ic	PROPN
ejpam-5249	552	3	al	al	PROPN
ejpam-5249	552	4	re	re	PROPN
ejpam-5249	552	5	su	su	PROPN
ejpam-5249	552	6	lts	lts	PROPN
ejpam-5249	552	7	an	an	PROPN
ejpam-5249	552	8	d	d	X
ejpam-5249	552	9	th	th	X
ejpam-5249	552	10	e	e	NOUN
ejpam-5249	552	11	ho	ho	PROPN
ejpam-5249	552	12	m	m	PROPN
ejpam-5249	552	13	ot	ot	NOUN
ejpam-5249	552	14	op	op	NOUN
ejpam-5249	553	1	y	y	PROPN
ejpam-5249	553	2	pe	pe	INTJ
ejpam-5249	553	3	rt	rt	INTJ
ejpam-5249	553	4	ur	ur	INTJ
ejpam-5249	553	5	ba	ba	PROPN
ejpam-5249	553	6	tio	tio	NOUN
ejpam-5249	553	7	n	n	INTJ
ejpam-5249	553	8	m	m	NOUN
ejpam-5249	553	9	et	et	NOUN
ejpam-5249	553	10	ho	ho	PROPN
ejpam-5249	554	1	d	d	PROPN
ejpam-5249	554	2	so	so	ADV
ejpam-5249	554	3	lu	lu	PROPN
ejpam-5249	554	4	tio	tio	PROPN
ejpam-5249	554	5	n	n	PROPN
ejpam-5249	554	6	of	of	ADP
ejpam-5249	554	7	e	e	PROPN
ejpam-5249	554	8	q.	q.	PROPN
ejpam-5249	554	9	(	(	PUNCT
ejpam-5249	554	10	1	1	X
ejpam-5249	554	11	)	)	PUNCT
ejpam-5249	555	1	fo	fo	ADP
ejpam-5249	555	2	r	r	PROPN
ejpam-5249	555	3	va	va	PROPN
ejpam-5249	555	4	ri	ri	PROPN
ejpam-5249	555	5	ou	ou	PROPN
ejpam-5249	555	6	s	s	PROPN
ejpam-5249	555	7	va	va	PROPN
ejpam-5249	555	8	lu	lu	PROPN
ejpam-5249	555	9	es	es	NOUN
ejpam-5249	555	10	of	of	ADP
ejpam-5249	555	11	a	a	PRON
ejpam-5249	555	12	as	as	ADP
ejpam-5249	555	13	in	in	ADP
ejpam-5249	555	14	fi	fi	NOUN
ejpam-5249	555	15	gu	gu	NOUN
ejpam-5249	555	16	re	re	PROPN
ejpam-5249	555	17	.	.	PUNCT
ejpam-5249	556	1	(	(	PUNCT
ejpam-5249	556	2	2b	2b	NUM
ejpam-5249	556	3	)	)	PUNCT
ejpam-5249	556	4	a	a	DET
ejpam-5249	556	5	=	=	NOUN
ejpam-5249	556	6	0	0	NUM
ejpam-5249	556	7	.	.	NUM
ejpam-5249	556	8	00	00	NUM
ejpam-5249	556	9	00	00	NUM
ejpam-5249	557	1	5	5	NUM
ejpam-5249	557	2	a	a	DET
ejpam-5249	557	3	=	=	NOUN
ejpam-5249	557	4	0	0	NUM
ejpam-5249	557	5	.	.	NUM
ejpam-5249	557	6	00	00	NUM
ejpam-5249	558	1	08	08	NUM
ejpam-5249	559	1	a	a	DET
ejpam-5249	559	2	=	=	NOUN
ejpam-5249	559	3	0	0	NUM
ejpam-5249	559	4	.	.	NOUN
ejpam-5249	559	5	00	00	NUM
ejpam-5249	560	1	1	1	NUM
ejpam-5249	560	2	t	t	NOUN
ejpam-5249	560	3	n	n	INTJ
ejpam-5249	560	4	um	um	INTJ
ejpam-5249	560	5	er	er	INTJ
ejpam-5249	560	6	ic	ic	INTJ
ejpam-5249	560	7	al	al	PROPN
ejpam-5249	560	8	h	h	PROPN
ejpam-5249	560	9	pm	pm	VERB
ejpam-5249	560	10	e	e	X
ejpam-5249	560	11	rr	rr	NOUN
ejpam-5249	560	12	or	or	CCONJ
ejpam-5249	560	13	%	%	INTJ
ejpam-5249	561	1	n	n	INTJ
ejpam-5249	561	2	um	um	INTJ
ejpam-5249	561	3	er	er	INTJ
ejpam-5249	561	4	ic	ic	INTJ
ejpam-5249	561	5	al	al	PROPN
ejpam-5249	561	6	h	h	PROPN
ejpam-5249	561	7	pm	pm	VERB
ejpam-5249	561	8	e	e	X
ejpam-5249	561	9	rr	rr	NOUN
ejpam-5249	562	1	or	or	CCONJ
ejpam-5249	562	2	%	%	INTJ
ejpam-5249	563	1	n	n	INTJ
ejpam-5249	563	2	um	um	INTJ
ejpam-5249	563	3	er	er	INTJ
ejpam-5249	563	4	ic	ic	INTJ
ejpam-5249	563	5	al	al	PROPN
ejpam-5249	563	6	h	h	PROPN
ejpam-5249	563	7	pm	pm	VERB
ejpam-5249	563	8	e	e	X
ejpam-5249	563	9	rr	rr	NOUN
ejpam-5249	563	10	or	or	CCONJ
ejpam-5249	563	11	%	%	NOUN
ejpam-5249	563	12	0	0	NUM
ejpam-5249	563	13	0	0	NUM
ejpam-5249	563	14	.	.	PUNCT
ejpam-5249	563	15	00	00	NUM
ejpam-5249	564	1	50	50	NUM
ejpam-5249	564	2	0	0	NUM
ejpam-5249	564	3	0	0	NUM
ejpam-5249	564	4	.	.	PUNCT
ejpam-5249	564	5	00	00	NUM
ejpam-5249	565	1	50	50	NUM
ejpam-5249	565	2	0	0	NUM
ejpam-5249	565	3	0	0	NUM
ejpam-5249	565	4	.	.	PUNCT
ejpam-5249	565	5	01	01	NUM
ejpam-5249	565	6	79	79	NUM
ejpam-5249	565	7	3	3	NUM
ejpam-5249	565	8	0	0	NUM
ejpam-5249	565	9	.	.	PUNCT
ejpam-5249	565	10	00	00	NUM
ejpam-5249	566	1	50	50	NUM
ejpam-5249	566	2	0	0	NUM
ejpam-5249	566	3	0	0	NUM
ejpam-5249	566	4	.	.	PUNCT
ejpam-5249	566	5	00	00	NUM
ejpam-5249	567	1	50	50	NUM
ejpam-5249	567	2	0	0	NUM
ejpam-5249	567	3	0	0	NUM
ejpam-5249	567	4	.	.	PUNCT
ejpam-5249	567	5	01	01	NUM
ejpam-5249	567	6	79	79	NUM
ejpam-5249	567	7	6	6	NUM
ejpam-5249	567	8	0	0	NUM
ejpam-5249	567	9	.	.	PUNCT
ejpam-5249	567	10	00	00	NUM
ejpam-5249	568	1	50	50	NUM
ejpam-5249	568	2	0	0	NUM
ejpam-5249	568	3	0	0	NUM
ejpam-5249	568	4	.	.	PUNCT
ejpam-5249	568	5	00	00	NUM
ejpam-5249	569	1	50	50	NUM
ejpam-5249	569	2	0	0	NUM
ejpam-5249	569	3	0	0	NUM
ejpam-5249	569	4	.	.	PUNCT
ejpam-5249	569	5	01	01	NUM
ejpam-5249	570	1	79	79	NUM
ejpam-5249	570	2	8	8	NUM
ejpam-5249	570	3	20	20	NUM
ejpam-5249	570	4	0	0	NUM
ejpam-5249	570	5	.	.	PUNCT
ejpam-5249	570	6	00	00	NUM
ejpam-5249	571	1	50	50	NUM
ejpam-5249	571	2	2	2	NUM
ejpam-5249	571	3	0	0	NUM
ejpam-5249	571	4	.	.	PUNCT
ejpam-5249	571	5	00	00	NUM
ejpam-5249	572	1	50	50	NUM
ejpam-5249	572	2	0	0	NUM
ejpam-5249	572	3	0	0	NUM
ejpam-5249	572	4	.	.	PUNCT
ejpam-5249	573	1	82	82	NUM
ejpam-5249	573	2	84	84	NUM
ejpam-5249	573	3	7	7	NUM
ejpam-5249	573	4	0	0	NUM
ejpam-5249	573	5	.	.	PUNCT
ejpam-5249	573	6	00	00	NUM
ejpam-5249	574	1	50	50	NUM
ejpam-5249	574	2	1	1	NUM
ejpam-5249	574	3	0	0	NUM
ejpam-5249	574	4	.	.	PUNCT
ejpam-5249	574	5	00	00	NUM
ejpam-5249	575	1	50	50	NUM
ejpam-5249	575	2	0	0	NUM
ejpam-5249	575	3	0	0	NUM
ejpam-5249	575	4	.	.	PUNCT
ejpam-5249	575	5	01	01	NUM
ejpam-5249	575	6	79	79	NUM
ejpam-5249	575	7	6	6	NUM
ejpam-5249	575	8	0	0	NUM
ejpam-5249	575	9	.	.	PUNCT
ejpam-5249	575	10	00	00	NUM
ejpam-5249	576	1	50	50	NUM
ejpam-5249	576	2	1	1	NUM
ejpam-5249	576	3	0	0	NUM
ejpam-5249	576	4	.	.	PUNCT
ejpam-5249	576	5	00	00	NUM
ejpam-5249	577	1	50	50	NUM
ejpam-5249	577	2	0	0	NUM
ejpam-5249	577	3	0	0	NUM
ejpam-5249	577	4	.	.	PUNCT
ejpam-5249	577	5	22	22	NUM
ejpam-5249	577	6	69	69	NUM
ejpam-5249	577	7	9	9	NUM
ejpam-5249	577	8	40	40	NUM
ejpam-5249	577	9	0	0	NUM
ejpam-5249	577	10	.	.	PUNCT
ejpam-5249	577	11	00	00	NUM
ejpam-5249	578	1	50	50	NUM
ejpam-5249	578	2	4	4	NUM
ejpam-5249	578	3	0	0	NUM
ejpam-5249	578	4	.	.	PUNCT
ejpam-5249	578	5	00	00	NUM
ejpam-5249	579	1	50	50	NUM
ejpam-5249	579	2	0	0	NUM
ejpam-5249	579	3	1	1	NUM
ejpam-5249	579	4	.	.	X
ejpam-5249	579	5	25	25	NUM
ejpam-5249	579	6	69	69	NUM
ejpam-5249	579	7	9	9	NUM
ejpam-5249	579	8	0	0	NUM
ejpam-5249	579	9	.	.	PUNCT
ejpam-5249	579	10	00	00	NUM
ejpam-5249	580	1	50	50	NUM
ejpam-5249	580	2	3	3	NUM
ejpam-5249	580	3	0	0	NUM
ejpam-5249	580	4	.	.	PUNCT
ejpam-5249	580	5	00	00	NUM
ejpam-5249	581	1	50	50	NUM
ejpam-5249	581	2	0	0	NUM
ejpam-5249	581	3	0	0	NUM
ejpam-5249	581	4	.	.	PUNCT
ejpam-5249	582	1	61	61	NUM
ejpam-5249	582	2	64	64	NUM
ejpam-5249	582	3	0	0	NUM
ejpam-5249	582	4	0	0	NUM
ejpam-5249	582	5	.	.	PUNCT
ejpam-5249	582	6	00	00	NUM
ejpam-5249	583	1	50	50	NUM
ejpam-5249	583	2	2	2	NUM
ejpam-5249	583	3	0	0	NUM
ejpam-5249	583	4	.	.	PUNCT
ejpam-5249	583	5	00	00	NUM
ejpam-5249	584	1	50	50	NUM
ejpam-5249	584	2	0	0	NUM
ejpam-5249	584	3	0	0	NUM
ejpam-5249	584	4	.	.	PUNCT
ejpam-5249	585	1	47	47	NUM
ejpam-5249	585	2	47	47	NUM
ejpam-5249	585	3	9	9	NUM
ejpam-5249	585	4	60	60	NUM
ejpam-5249	585	5	0	0	NUM
ejpam-5249	585	6	.	.	PUNCT
ejpam-5249	585	7	00	00	NUM
ejpam-5249	585	8	50	50	NUM
ejpam-5249	585	9	6	6	NUM
ejpam-5249	585	10	0	0	NUM
ejpam-5249	585	11	.	.	PUNCT
ejpam-5249	585	12	00	00	NUM
ejpam-5249	586	1	50	50	NUM
ejpam-5249	586	2	0	0	NUM
ejpam-5249	586	3	1	1	NUM
ejpam-5249	586	4	.	.	X
ejpam-5249	586	5	69	69	NUM
ejpam-5249	586	6	80	80	NUM
ejpam-5249	586	7	9	9	NUM
ejpam-5249	586	8	0	0	NUM
ejpam-5249	586	9	.	.	PUNCT
ejpam-5249	586	10	00	00	NUM
ejpam-5249	587	1	50	50	NUM
ejpam-5249	587	2	5	5	NUM
ejpam-5249	587	3	0	0	NUM
ejpam-5249	587	4	.	.	PUNCT
ejpam-5249	587	5	00	00	NUM
ejpam-5249	588	1	50	50	NUM
ejpam-5249	588	2	0	0	NUM
ejpam-5249	588	3	0	0	NUM
ejpam-5249	588	4	.	.	PUNCT
ejpam-5249	589	1	95	95	NUM
ejpam-5249	589	2	73	73	NUM
ejpam-5249	589	3	4	4	NUM
ejpam-5249	589	4	0	0	NUM
ejpam-5249	589	5	.	.	PUNCT
ejpam-5249	589	6	00	00	NUM
ejpam-5249	590	1	50	50	NUM
ejpam-5249	590	2	4	4	NUM
ejpam-5249	590	3	0	0	NUM
ejpam-5249	590	4	.	.	PUNCT
ejpam-5249	590	5	00	00	NUM
ejpam-5249	591	1	5	5	NUM
ejpam-5249	591	2	0	0	NUM
ejpam-5249	591	3	.	.	PUNCT
ejpam-5249	592	1	75	75	NUM
ejpam-5249	592	2	71	71	NUM
ejpam-5249	592	3	80	80	NUM
ejpam-5249	592	4	0	0	NUM
ejpam-5249	592	5	.	.	PUNCT
ejpam-5249	592	6	00	00	NUM
ejpam-5249	593	1	50	50	NUM
ejpam-5249	593	2	9	9	NUM
ejpam-5249	593	3	0	0	NUM
ejpam-5249	593	4	.	.	PUNCT
ejpam-5249	593	5	00	00	NUM
ejpam-5249	594	1	50	50	NUM
ejpam-5249	594	2	0	0	NUM
ejpam-5249	594	3	2	2	NUM
ejpam-5249	594	4	.	.	PUNCT
ejpam-5249	595	1	14	14	NUM
ejpam-5249	595	2	96	96	NUM
ejpam-5249	595	3	4	4	NUM
ejpam-5249	595	4	0	0	NUM
ejpam-5249	595	5	.	.	PUNCT
ejpam-5249	595	6	00	00	NUM
ejpam-5249	596	1	50	50	NUM
ejpam-5249	596	2	7	7	NUM
ejpam-5249	596	3	0	0	NUM
ejpam-5249	596	4	.	.	PUNCT
ejpam-5249	596	5	00	00	NUM
ejpam-5249	597	1	50	50	NUM
ejpam-5249	597	2	0	0	NUM
ejpam-5249	597	3	1	1	NUM
ejpam-5249	597	4	.	.	X
ejpam-5249	597	5	32	32	NUM
ejpam-5249	597	6	14	14	NUM
ejpam-5249	597	7	8	8	NUM
ejpam-5249	597	8	0	0	NUM
ejpam-5249	597	9	.	.	PUNCT
ejpam-5249	597	10	00	00	NUM
ejpam-5249	598	1	50	50	NUM
ejpam-5249	598	2	5	5	NUM
ejpam-5249	598	3	0	0	NUM
ejpam-5249	598	4	.	.	PUNCT
ejpam-5249	598	5	00	00	NUM
ejpam-5249	599	1	50	50	NUM
ejpam-5249	599	2	0	0	NUM
ejpam-5249	599	3	1	1	NUM
ejpam-5249	599	4	.	.	NUM
ejpam-5249	599	5	06	06	NUM
ejpam-5249	600	1	96	96	NUM
ejpam-5249	600	2	8	8	NUM
ejpam-5249	600	3	10	10	NUM
ejpam-5249	600	4	0	0	NUM
ejpam-5249	600	5	0	0	NUM
ejpam-5249	600	6	.	.	PUNCT
ejpam-5249	600	7	00	00	NUM
ejpam-5249	601	1	51	51	NUM
ejpam-5249	601	2	1	1	NUM
ejpam-5249	601	3	0	0	NUM
ejpam-5249	601	4	.	.	PUNCT
ejpam-5249	601	5	00	00	NUM
ejpam-5249	602	1	50	50	NUM
ejpam-5249	602	2	0	0	NUM
ejpam-5249	602	3	2	2	NUM
ejpam-5249	602	4	.	.	PUNCT
ejpam-5249	603	1	14	14	NUM
ejpam-5249	603	2	96	96	NUM
ejpam-5249	603	3	4	4	NUM
ejpam-5249	603	4	0	0	NUM
ejpam-5249	603	5	.	.	PUNCT
ejpam-5249	603	6	00	00	NUM
ejpam-5249	604	1	50	50	NUM
ejpam-5249	604	2	9	9	NUM
ejpam-5249	604	3	0	0	NUM
ejpam-5249	604	4	.	.	PUNCT
ejpam-5249	604	5	00	00	NUM
ejpam-5249	605	1	50	50	NUM
ejpam-5249	605	2	0	0	NUM
ejpam-5249	605	3	1	1	NUM
ejpam-5249	605	4	.	.	X
ejpam-5249	605	5	70	70	NUM
ejpam-5249	605	6	54	54	NUM
ejpam-5249	605	7	4	4	NUM
ejpam-5249	605	8	0	0	NUM
ejpam-5249	605	9	.	.	PUNCT
ejpam-5249	605	10	00	00	NUM
ejpam-5249	606	1	50	50	NUM
ejpam-5249	606	2	7	7	NUM
ejpam-5249	606	3	0	0	NUM
ejpam-5249	606	4	.	.	PUNCT
ejpam-5249	606	5	00	00	NUM
ejpam-5249	607	1	50	50	NUM
ejpam-5249	607	2	0	0	NUM
ejpam-5249	607	3	1	1	NUM
ejpam-5249	607	4	.	.	NUM
ejpam-5249	608	1	40	40	NUM
ejpam-5249	608	2	83	83	NUM
ejpam-5249	608	3	0	0	NUM
ejpam-5249	608	4	a	a	DET
ejpam-5249	608	5	ve	ve	NOUN
ejpam-5249	608	6	ra	ra	NOUN
ejpam-5249	608	7	ge	ge	PROPN
ejpam-5249	608	8	er	er	INTJ
ejpam-5249	608	9	ro	ro	X
ejpam-5249	608	10	r%	r%	PROPN
ejpam-5249	608	11	1	1	NUM
ejpam-5249	608	12	.	.	NUM
ejpam-5249	608	13	06	06	NUM
ejpam-5249	608	14	09	09	NUM
ejpam-5249	608	15	7	7	NUM
ejpam-5249	608	16	0	0	NUM
ejpam-5249	608	17	.	.	PUNCT
ejpam-5249	609	1	82	82	NUM
ejpam-5249	610	1	01	01	NUM
ejpam-5249	610	2	2	2	NUM
ejpam-5249	610	3	0	0	NUM
ejpam-5249	610	4	.	.	PUNCT
ejpam-5249	610	5	65	65	NUM
ejpam-5249	610	6	91	91	NUM
ejpam-5249	610	7	4	4	NUM
ejpam-5249	610	8	ta	ta	PART
ejpam-5249	610	9	bl	bl	ADP
ejpam-5249	610	10	e	e	NOUN
ejpam-5249	610	11	3	3	NUM
ejpam-5249	610	12	:	:	PUNCT
ejpam-5249	610	13	o	o	NOUN
ejpam-5249	610	14	bs	bs	INTJ
ejpam-5249	610	15	er	er	INTJ
ejpam-5249	610	16	va	va	NOUN
ejpam-5249	610	17	tio	tio	PROPN
ejpam-5249	610	18	n	n	PROPN
ejpam-5249	610	19	of	of	ADP
ejpam-5249	610	20	nu	nu	INTJ
ejpam-5249	610	21	m	m	ADJ
ejpam-5249	611	1	er	er	INTJ
ejpam-5249	611	2	ic	ic	PROPN
ejpam-5249	611	3	al	al	PROPN
ejpam-5249	611	4	re	re	PROPN
ejpam-5249	611	5	su	su	PROPN
ejpam-5249	611	6	lts	lts	PROPN
ejpam-5249	611	7	an	an	PROPN
ejpam-5249	611	8	d	d	X
ejpam-5249	611	9	th	th	X
ejpam-5249	611	10	e	e	NOUN
ejpam-5249	611	11	ho	ho	PROPN
ejpam-5249	611	12	m	m	PROPN
ejpam-5249	611	13	ot	ot	NOUN
ejpam-5249	611	14	op	op	NOUN
ejpam-5249	612	1	y	y	PROPN
ejpam-5249	612	2	pe	pe	INTJ
ejpam-5249	612	3	rt	rt	INTJ
ejpam-5249	612	4	ur	ur	INTJ
ejpam-5249	612	5	ba	ba	PROPN
ejpam-5249	612	6	tio	tio	NOUN
ejpam-5249	612	7	n	n	INTJ
ejpam-5249	612	8	m	m	NOUN
ejpam-5249	612	9	et	et	NOUN
ejpam-5249	612	10	ho	ho	PROPN
ejpam-5249	613	1	d	d	PROPN
ejpam-5249	613	2	so	so	ADV
ejpam-5249	613	3	lu	lu	PROPN
ejpam-5249	613	4	tio	tio	PROPN
ejpam-5249	613	5	n	n	PROPN
ejpam-5249	613	6	of	of	ADP
ejpam-5249	613	7	e	e	PROPN
ejpam-5249	613	8	q.	q.	PROPN
ejpam-5249	613	9	(	(	PUNCT
ejpam-5249	613	10	5	5	NUM
ejpam-5249	613	11	)	)	PUNCT
ejpam-5249	614	1	fo	fo	ADP
ejpam-5249	614	2	r	r	PROPN
ejpam-5249	614	3	va	va	PROPN
ejpam-5249	614	4	ri	ri	PROPN
ejpam-5249	614	5	ou	ou	PROPN
ejpam-5249	614	6	s	s	PROPN
ejpam-5249	614	7	va	va	PROPN
ejpam-5249	614	8	lu	lu	PROPN
ejpam-5249	614	9	es	es	PROPN
ejpam-5249	614	10	of	of	ADP
ejpam-5249	614	11	a	a	DET
ejpam-5249	614	12	w	w	NOUN
ejpam-5249	614	13	ith	ith	NOUN
ejpam-5249	614	14	th	th	X
ejpam-5249	614	15	e	e	NOUN
ejpam-5249	614	16	tim	tim	PROPN
ejpam-5249	614	17	e	e	PROPN
ejpam-5249	614	18	de	de	PROPN
ejpam-5249	614	19	la	la	PROPN
ejpam-5249	614	20	y	y	PROPN
ejpam-5249	614	21	τ	τ	PROPN
ejpam-5249	614	22	=	=	SYM
ejpam-5249	614	23	0	0	NUM
ejpam-5249	614	24	.	.	NOUN
ejpam-5249	614	25	5	5	NUM
ejpam-5249	614	26	as	as	ADP
ejpam-5249	614	27	in	in	ADP
ejpam-5249	614	28	fi	fi	NOUN
ejpam-5249	614	29	gu	gu	NOUN
ejpam-5249	614	30	re	re	PROPN
ejpam-5249	614	31	.	.	PUNCT
ejpam-5249	615	1	(	(	PUNCT
ejpam-5249	615	2	6a	6a	NOUN
ejpam-5249	615	3	)	)	PUNCT
ejpam-5249	615	4	a	a	DET
ejpam-5249	615	5	=	=	NOUN
ejpam-5249	615	6	0	0	NUM
ejpam-5249	615	7	.	.	NUM
ejpam-5249	615	8	00	00	NUM
ejpam-5249	616	1	00	00	NUM
ejpam-5249	616	2	5	5	NUM
ejpam-5249	616	3	a	a	DET
ejpam-5249	616	4	=	=	NOUN
ejpam-5249	616	5	0	0	NUM
ejpam-5249	616	6	.	.	NUM
ejpam-5249	616	7	00	00	NUM
ejpam-5249	617	1	08	08	NUM
ejpam-5249	618	1	a	a	DET
ejpam-5249	618	2	=	=	NOUN
ejpam-5249	618	3	0	0	NUM
ejpam-5249	618	4	.	.	NOUN
ejpam-5249	618	5	00	00	NUM
ejpam-5249	619	1	1	1	NUM
ejpam-5249	619	2	t	t	NOUN
ejpam-5249	619	3	n	n	INTJ
ejpam-5249	619	4	um	um	INTJ
ejpam-5249	619	5	er	er	INTJ
ejpam-5249	619	6	ic	ic	INTJ
ejpam-5249	619	7	al	al	PROPN
ejpam-5249	619	8	h	h	PROPN
ejpam-5249	619	9	pm	pm	VERB
ejpam-5249	619	10	e	e	X
ejpam-5249	619	11	rr	rr	NOUN
ejpam-5249	619	12	or	or	CCONJ
ejpam-5249	619	13	%	%	INTJ
ejpam-5249	620	1	n	n	INTJ
ejpam-5249	620	2	um	um	INTJ
ejpam-5249	620	3	er	er	INTJ
ejpam-5249	620	4	ic	ic	INTJ
ejpam-5249	620	5	al	al	PROPN
ejpam-5249	620	6	h	h	PROPN
ejpam-5249	620	7	pm	pm	VERB
ejpam-5249	620	8	e	e	X
ejpam-5249	620	9	rr	rr	NOUN
ejpam-5249	621	1	or	or	CCONJ
ejpam-5249	621	2	%	%	INTJ
ejpam-5249	622	1	n	n	INTJ
ejpam-5249	622	2	um	um	INTJ
ejpam-5249	622	3	er	er	INTJ
ejpam-5249	622	4	ic	ic	INTJ
ejpam-5249	622	5	al	al	PROPN
ejpam-5249	622	6	h	h	PROPN
ejpam-5249	622	7	pm	pm	VERB
ejpam-5249	622	8	e	e	X
ejpam-5249	622	9	rr	rr	NOUN
ejpam-5249	622	10	or	or	CCONJ
ejpam-5249	622	11	%	%	NOUN
ejpam-5249	622	12	0	0	NUM
ejpam-5249	622	13	0	0	NUM
ejpam-5249	622	14	.	.	PUNCT
ejpam-5249	622	15	00	00	NUM
ejpam-5249	623	1	50	50	NUM
ejpam-5249	623	2	0	0	NUM
ejpam-5249	623	3	0	0	NUM
ejpam-5249	623	4	.	.	PUNCT
ejpam-5249	623	5	00	00	NUM
ejpam-5249	624	1	50	50	NUM
ejpam-5249	624	2	0	0	NUM
ejpam-5249	624	3	0	0	NUM
ejpam-5249	624	4	.	.	PUNCT
ejpam-5249	624	5	00	00	NUM
ejpam-5249	625	1	01	01	NUM
ejpam-5249	625	2	0	0	NUM
ejpam-5249	625	3	0	0	NUM
ejpam-5249	625	4	.	.	PUNCT
ejpam-5249	625	5	00	00	NUM
ejpam-5249	626	1	50	50	NUM
ejpam-5249	626	2	1	1	NUM
ejpam-5249	626	3	0	0	NUM
ejpam-5249	626	4	.	.	PUNCT
ejpam-5249	626	5	00	00	NUM
ejpam-5249	627	1	50	50	NUM
ejpam-5249	627	2	1	1	NUM
ejpam-5249	627	3	0	0	NUM
ejpam-5249	627	4	.	.	PUNCT
ejpam-5249	627	5	00	00	NUM
ejpam-5249	628	1	31	31	NUM
ejpam-5249	628	2	6	6	NUM
ejpam-5249	628	3	0	0	NUM
ejpam-5249	628	4	.	.	PUNCT
ejpam-5249	628	5	00	00	NUM
ejpam-5249	629	1	07	07	NUM
ejpam-5249	629	2	3	3	NUM
ejpam-5249	629	3	0	0	NUM
ejpam-5249	629	4	.	.	PUNCT
ejpam-5249	629	5	00	00	NUM
ejpam-5249	630	1	50	50	NUM
ejpam-5249	630	2	0	0	NUM
ejpam-5249	630	3	0	0	NUM
ejpam-5249	630	4	.	.	PUNCT
ejpam-5249	631	1	61	61	NUM
ejpam-5249	631	2	42	42	NUM
ejpam-5249	631	3	20	20	NUM
ejpam-5249	631	4	0	0	NUM
ejpam-5249	631	5	.	.	PUNCT
ejpam-5249	631	6	00	00	NUM
ejpam-5249	632	1	50	50	NUM
ejpam-5249	632	2	2	2	NUM
ejpam-5249	632	3	0	0	NUM
ejpam-5249	632	4	.	.	PUNCT
ejpam-5249	632	5	00	00	NUM
ejpam-5249	633	1	50	50	NUM
ejpam-5249	633	2	0	0	NUM
ejpam-5249	633	3	0	0	NUM
ejpam-5249	633	4	.	.	PUNCT
ejpam-5249	633	5	39	39	NUM
ejpam-5249	633	6	66	66	NUM
ejpam-5249	633	7	0	0	NUM
ejpam-5249	633	8	0	0	NUM
ejpam-5249	633	9	.	.	PUNCT
ejpam-5249	633	10	00	00	NUM
ejpam-5249	634	1	50	50	NUM
ejpam-5249	634	2	1	1	NUM
ejpam-5249	634	3	0	0	NUM
ejpam-5249	634	4	.	.	PUNCT
ejpam-5249	634	5	00	00	NUM
ejpam-5249	635	1	50	50	NUM
ejpam-5249	635	2	1	1	NUM
ejpam-5249	635	3	0	0	NUM
ejpam-5249	635	4	.	.	PUNCT
ejpam-5249	635	5	00	00	NUM
ejpam-5249	636	1	31	31	NUM
ejpam-5249	636	2	6	6	NUM
ejpam-5249	636	3	0	0	NUM
ejpam-5249	636	4	.	.	PUNCT
ejpam-5249	636	5	00	00	NUM
ejpam-5249	637	1	07	07	NUM
ejpam-5249	637	2	3	3	NUM
ejpam-5249	637	3	0	0	NUM
ejpam-5249	637	4	.	.	PUNCT
ejpam-5249	637	5	00	00	NUM
ejpam-5249	638	1	50	50	NUM
ejpam-5249	638	2	0	0	NUM
ejpam-5249	638	3	0	0	NUM
ejpam-5249	638	4	.	.	PUNCT
ejpam-5249	639	1	58	58	NUM
ejpam-5249	640	1	05	05	NUM
ejpam-5249	640	2	0	0	NUM
ejpam-5249	640	3	40	40	NUM
ejpam-5249	640	4	0	0	NUM
ejpam-5249	640	5	.	.	PUNCT
ejpam-5249	640	6	00	00	NUM
ejpam-5249	641	1	50	50	NUM
ejpam-5249	641	2	4	4	NUM
ejpam-5249	641	3	0	0	NUM
ejpam-5249	641	4	.	.	PUNCT
ejpam-5249	641	5	00	00	NUM
ejpam-5249	642	1	50	50	NUM
ejpam-5249	642	2	0	0	NUM
ejpam-5249	642	3	0	0	NUM
ejpam-5249	642	4	.	.	PUNCT
ejpam-5249	642	5	00	00	NUM
ejpam-5249	643	1	50	50	NUM
ejpam-5249	643	2	3	3	NUM
ejpam-5249	643	3	0	0	NUM
ejpam-5249	643	4	.	.	PUNCT
ejpam-5249	643	5	01	01	NUM
ejpam-5249	643	6	21	21	NUM
ejpam-5249	643	7	3	3	NUM
ejpam-5249	643	8	0	0	NUM
ejpam-5249	643	9	.	.	PUNCT
ejpam-5249	643	10	00	00	NUM
ejpam-5249	644	1	50	50	NUM
ejpam-5249	644	2	3	3	NUM
ejpam-5249	644	3	0	0	NUM
ejpam-5249	644	4	.	.	PUNCT
ejpam-5249	644	5	00	00	NUM
ejpam-5249	645	1	07	07	NUM
ejpam-5249	645	2	7	7	NUM
ejpam-5249	645	3	0	0	NUM
ejpam-5249	645	4	.	.	PUNCT
ejpam-5249	645	5	00	00	NUM
ejpam-5249	646	1	07	07	NUM
ejpam-5249	646	2	7	7	NUM
ejpam-5249	646	3	0	0	NUM
ejpam-5249	646	4	.	.	PUNCT
ejpam-5249	646	5	00	00	NUM
ejpam-5249	647	1	05	05	NUM
ejpam-5249	647	2	0	0	NUM
ejpam-5249	647	3	0	0	NUM
ejpam-5249	647	4	.	.	PUNCT
ejpam-5249	648	1	53	53	NUM
ejpam-5249	648	2	14	14	NUM
ejpam-5249	648	3	6	6	NUM
ejpam-5249	648	4	60	60	NUM
ejpam-5249	648	5	0	0	NUM
ejpam-5249	648	6	.	.	PUNCT
ejpam-5249	648	7	00	00	NUM
ejpam-5249	649	1	50	50	NUM
ejpam-5249	649	2	6	6	NUM
ejpam-5249	649	3	0	0	NUM
ejpam-5249	649	4	.	.	PUNCT
ejpam-5249	649	5	00	00	NUM
ejpam-5249	650	1	50	50	NUM
ejpam-5249	650	2	0	0	NUM
ejpam-5249	650	3	1	1	NUM
ejpam-5249	650	4	.	.	PUNCT
ejpam-5249	650	5	23	23	NUM
ejpam-5249	650	6	88	88	NUM
ejpam-5249	650	7	0	0	NUM
ejpam-5249	650	8	0	0	NUM
ejpam-5249	650	9	.	.	PUNCT
ejpam-5249	650	10	00	00	NUM
ejpam-5249	651	1	50	50	NUM
ejpam-5249	651	2	5	5	NUM
ejpam-5249	651	3	0	0	NUM
ejpam-5249	651	4	.	.	PUNCT
ejpam-5249	651	5	00	00	NUM
ejpam-5249	652	1	50	50	NUM
ejpam-5249	652	2	5	5	NUM
ejpam-5249	652	3	0	0	NUM
ejpam-5249	652	4	.	.	PUNCT
ejpam-5249	653	1	02	02	NUM
ejpam-5249	653	2	66	66	NUM
ejpam-5249	653	3	2	2	NUM
ejpam-5249	653	4	0	0	NUM
ejpam-5249	653	5	.	.	PUNCT
ejpam-5249	653	6	00	00	NUM
ejpam-5249	654	1	07	07	NUM
ejpam-5249	654	2	9	9	NUM
ejpam-5249	654	3	0	0	NUM
ejpam-5249	654	4	.	.	PUNCT
ejpam-5249	654	5	00	00	NUM
ejpam-5249	655	1	00	00	NUM
ejpam-5249	656	1	5	5	NUM
ejpam-5249	656	2	0	0	NUM
ejpam-5249	656	3	.	.	PUNCT
ejpam-5249	657	1	53	53	NUM
ejpam-5249	657	2	14	14	NUM
ejpam-5249	657	3	6	6	NUM
ejpam-5249	657	4	80	80	NUM
ejpam-5249	657	5	0	0	NUM
ejpam-5249	657	6	.	.	PUNCT
ejpam-5249	657	7	00	00	NUM
ejpam-5249	658	1	50	50	NUM
ejpam-5249	658	2	9	9	NUM
ejpam-5249	658	3	0	0	NUM
ejpam-5249	658	4	.	.	PUNCT
ejpam-5249	658	5	00	00	NUM
ejpam-5249	659	1	50	50	NUM
ejpam-5249	659	2	0	0	NUM
ejpam-5249	659	3	1	1	NUM
ejpam-5249	659	4	.	.	X
ejpam-5249	659	5	67	67	NUM
ejpam-5249	659	6	97	97	NUM
ejpam-5249	659	7	0	0	NUM
ejpam-5249	659	8	0	0	NUM
ejpam-5249	659	9	.	.	PUNCT
ejpam-5249	659	10	00	00	NUM
ejpam-5249	660	1	50	50	NUM
ejpam-5249	660	2	7	7	NUM
ejpam-5249	660	3	0	0	NUM
ejpam-5249	660	4	.	.	PUNCT
ejpam-5249	660	5	00	00	NUM
ejpam-5249	661	1	50	50	NUM
ejpam-5249	661	2	6	6	NUM
ejpam-5249	661	3	0	0	NUM
ejpam-5249	661	4	.	.	PUNCT
ejpam-5249	661	5	04	04	NUM
ejpam-5249	662	1	63	63	NUM
ejpam-5249	662	2	4	4	NUM
ejpam-5249	662	3	0	0	NUM
ejpam-5249	662	4	.	.	PUNCT
ejpam-5249	662	5	00	00	NUM
ejpam-5249	663	1	08	08	NUM
ejpam-5249	663	2	1	1	NUM
ejpam-5249	663	3	0	0	NUM
ejpam-5249	663	4	.	.	PUNCT
ejpam-5249	663	5	00	00	NUM
ejpam-5249	664	1	05	05	NUM
ejpam-5249	664	2	0	0	NUM
ejpam-5249	664	3	0	0	NUM
ejpam-5249	664	4	.	.	PUNCT
ejpam-5249	665	1	51	51	NUM
ejpam-5249	665	2	35	35	NUM
ejpam-5249	665	3	0	0	NUM
ejpam-5249	665	4	10	10	NUM
ejpam-5249	665	5	0	0	NUM
ejpam-5249	665	6	0	0	NUM
ejpam-5249	665	7	.	.	PUNCT
ejpam-5249	665	8	00	00	NUM
ejpam-5249	666	1	51	51	NUM
ejpam-5249	666	2	1	1	NUM
ejpam-5249	666	3	0	0	NUM
ejpam-5249	666	4	.	.	PUNCT
ejpam-5249	666	5	00	00	NUM
ejpam-5249	667	1	50	50	NUM
ejpam-5249	667	2	0	0	NUM
ejpam-5249	667	3	0	0	NUM
ejpam-5249	667	4	.	.	NOUN
ejpam-5249	667	5	13	13	NUM
ejpam-5249	667	6	11	11	NUM
ejpam-5249	667	7	0	0	NUM
ejpam-5249	667	8	0	0	NUM
ejpam-5249	667	9	.	.	PUNCT
ejpam-5249	667	10	00	00	NUM
ejpam-5249	668	1	50	50	NUM
ejpam-5249	668	2	9	9	NUM
ejpam-5249	668	3	0	0	NUM
ejpam-5249	668	4	.	.	PUNCT
ejpam-5249	668	5	00	00	NUM
ejpam-5249	669	1	50	50	NUM
ejpam-5249	669	2	8	8	NUM
ejpam-5249	669	3	0	0	NUM
ejpam-5249	669	4	.	.	PUNCT
ejpam-5249	670	1	07	07	NUM
ejpam-5249	670	2	09	09	NUM
ejpam-5249	670	3	8	8	NUM
ejpam-5249	670	4	0	0	NUM
ejpam-5249	670	5	.	.	PUNCT
ejpam-5249	670	6	00	00	NUM
ejpam-5249	670	7	08	08	NUM
ejpam-5249	670	8	1	1	NUM
ejpam-5249	670	9	0	0	NUM
ejpam-5249	670	10	.	.	PUNCT
ejpam-5249	670	11	00	00	NUM
ejpam-5249	671	1	50	50	NUM
ejpam-5249	671	2	0	0	NUM
ejpam-5249	671	3	0	0	NUM
ejpam-5249	671	4	.	.	NUM
ejpam-5249	672	1	49	49	NUM
ejpam-5249	672	2	86	86	NUM
ejpam-5249	672	3	9	9	NUM
ejpam-5249	672	4	a	a	DET
ejpam-5249	672	5	ve	ve	NOUN
ejpam-5249	672	6	ra	ra	NOUN
ejpam-5249	673	1	ge	ge	PROPN
ejpam-5249	673	2	er	er	INTJ
ejpam-5249	673	3	ro	ro	X
ejpam-5249	673	4	r%	r%	PROPN
ejpam-5249	673	5	1	1	NUM
ejpam-5249	673	6	.	.	NOUN
ejpam-5249	673	7	04	04	NUM
ejpam-5249	674	1	27	27	NUM
ejpam-5249	674	2	0	0	NUM
ejpam-5249	674	3	0	0	NUM
ejpam-5249	674	4	.	.	PUNCT
ejpam-5249	674	5	02	02	NUM
ejpam-5249	675	1	65	65	NUM
ejpam-5249	675	2	4	4	NUM
ejpam-5249	675	3	0	0	NUM
ejpam-5249	675	4	.	.	PUNCT
ejpam-5249	676	1	02	02	NUM
ejpam-5249	676	2	34	34	NUM
ejpam-5249	676	3	1	1	NUM
ejpam-5249	676	4	references	reference	NOUN
ejpam-5249	676	5	1934	1934	NUM
ejpam-5249	676	6	11	11	NUM
ejpam-5249	676	7	.	.	PUNCT
ejpam-5249	677	1	conclusion	conclusion	NOUN
ejpam-5249	677	2	this	this	DET
ejpam-5249	677	3	paper	paper	NOUN
ejpam-5249	677	4	examines	examine	VERB
ejpam-5249	677	5	how	how	SCONJ
ejpam-5249	677	6	the	the	DET
ejpam-5249	677	7	behaviour	behaviour	NOUN
ejpam-5249	677	8	of	of	ADP
ejpam-5249	677	9	interaction	interaction	NOUN
ejpam-5249	677	10	among	among	ADP
ejpam-5249	677	11	species	species	NOUN
ejpam-5249	677	12	populations	population	NOUN
ejpam-5249	677	13	and	and	CCONJ
ejpam-5249	677	14	parameters	parameter	NOUN
ejpam-5249	677	15	affect	affect	VERB
ejpam-5249	677	16	the	the	DET
ejpam-5249	677	17	time	time	NOUN
ejpam-5249	677	18	delay	delay	NOUN
ejpam-5249	677	19	system	system	NOUN
ejpam-5249	677	20	.	.	PUNCT
ejpam-5249	678	1	we	we	PRON
ejpam-5249	678	2	concentrated	concentrate	VERB
ejpam-5249	678	3	on	on	ADP
ejpam-5249	678	4	how	how	SCONJ
ejpam-5249	678	5	rsws	rsws	ADJ
ejpam-5249	678	6	and	and	CCONJ
ejpam-5249	678	7	coconut	coconut	NOUN
ejpam-5249	678	8	palms	palm	NOUN
ejpam-5249	678	9	interacted	interact	VERB
ejpam-5249	678	10	in	in	ADP
ejpam-5249	678	11	pollachi	pollachi	NOUN
ejpam-5249	678	12	with	with	ADP
ejpam-5249	678	13	the	the	DET
ejpam-5249	678	14	time	time	NOUN
ejpam-5249	678	15	delay	delay	NOUN
ejpam-5249	678	16	.	.	PUNCT
ejpam-5249	679	1	similarly	similarly	ADV
ejpam-5249	679	2	,	,	PUNCT
ejpam-5249	679	3	wherever	wherever	SCONJ
ejpam-5249	679	4	we	we	PRON
ejpam-5249	679	5	need	need	VERB
ejpam-5249	679	6	a	a	DET
ejpam-5249	679	7	pest	pest	NOUN
ejpam-5249	679	8	control	control	NOUN
ejpam-5249	679	9	we	we	PRON
ejpam-5249	679	10	can	can	AUX
ejpam-5249	679	11	extend	extend	VERB
ejpam-5249	679	12	our	our	PRON
ejpam-5249	679	13	research	research	NOUN
ejpam-5249	679	14	in	in	ADP
ejpam-5249	679	15	the	the	DET
ejpam-5249	679	16	same	same	ADJ
ejpam-5249	679	17	way	way	NOUN
ejpam-5249	679	18	.	.	PUNCT
ejpam-5249	680	1	the	the	DET
ejpam-5249	680	2	equilibrium	equilibrium	NOUN
ejpam-5249	680	3	points	point	NOUN
ejpam-5249	680	4	and	and	CCONJ
ejpam-5249	680	5	the	the	DET
ejpam-5249	680	6	conditions	condition	NOUN
ejpam-5249	680	7	to	to	PART
ejpam-5249	680	8	be	be	AUX
ejpam-5249	680	9	las	las	NOUN
ejpam-5249	680	10	and	and	CCONJ
ejpam-5249	680	11	sensitivity	sensitivity	NOUN
ejpam-5249	680	12	parameters	parameter	NOUN
ejpam-5249	680	13	have	have	AUX
ejpam-5249	680	14	been	be	AUX
ejpam-5249	680	15	studied	study	VERB
ejpam-5249	680	16	.	.	PUNCT
ejpam-5249	681	1	we	we	PRON
ejpam-5249	681	2	have	have	AUX
ejpam-5249	681	3	described	describe	VERB
ejpam-5249	681	4	the	the	DET
ejpam-5249	681	5	approximate	approximate	ADJ
ejpam-5249	681	6	analytical	analytical	ADJ
ejpam-5249	681	7	and	and	CCONJ
ejpam-5249	681	8	numerical	numerical	ADJ
ejpam-5249	681	9	solution	solution	NOUN
ejpam-5249	681	10	of	of	ADP
ejpam-5249	681	11	ordinary	ordinary	ADJ
ejpam-5249	681	12	differential	differential	ADJ
ejpam-5249	681	13	equations	equation	NOUN
ejpam-5249	681	14	and	and	CCONJ
ejpam-5249	681	15	delay	delay	VERB
ejpam-5249	681	16	differential	differential	ADJ
ejpam-5249	681	17	equations	equation	NOUN
ejpam-5249	681	18	using	use	VERB
ejpam-5249	681	19	he	he	PRON
ejpam-5249	681	20	’s	’s	NOUN
ejpam-5249	681	21	homotopy	homotopy	PROPN
ejpam-5249	681	22	perturbation	perturbation	NOUN
ejpam-5249	681	23	method	method	NOUN
ejpam-5249	681	24	.	.	PUNCT
ejpam-5249	682	1	the	the	DET
ejpam-5249	682	2	homotopy	homotopy	NOUN
ejpam-5249	682	3	perturbation	perturbation	NOUN
ejpam-5249	682	4	method	method	NOUN
ejpam-5249	682	5	is	be	AUX
ejpam-5249	682	6	extensibly	extensibly	ADV
ejpam-5249	682	7	enhanced	enhance	VERB
ejpam-5249	682	8	to	to	PART
ejpam-5249	682	9	derive	derive	VERB
ejpam-5249	682	10	explicit	explicit	ADJ
ejpam-5249	682	11	solutions	solution	NOUN
ejpam-5249	682	12	of	of	ADP
ejpam-5249	682	13	the	the	DET
ejpam-5249	682	14	odes	ode	NOUN
ejpam-5249	682	15	and	and	CCONJ
ejpam-5249	682	16	ddes	dde	NOUN
ejpam-5249	682	17	using	use	VERB
ejpam-5249	682	18	symbolic	symbolic	ADJ
ejpam-5249	682	19	computation	computation	NOUN
ejpam-5249	682	20	software	software	NOUN
ejpam-5249	682	21	such	such	ADJ
ejpam-5249	682	22	as	as	ADP
ejpam-5249	682	23	matlab	matlab	PROPN
ejpam-5249	682	24	.	.	PUNCT
ejpam-5249	683	1	we	we	PRON
ejpam-5249	683	2	discovered	discover	VERB
ejpam-5249	683	3	strong	strong	ADJ
ejpam-5249	683	4	agreement	agreement	NOUN
ejpam-5249	683	5	between	between	ADP
ejpam-5249	683	6	the	the	DET
ejpam-5249	683	7	analytical	analytical	ADJ
ejpam-5249	683	8	results	result	NOUN
ejpam-5249	683	9	and	and	CCONJ
ejpam-5249	683	10	the	the	DET
ejpam-5249	683	11	numerical	numerical	PROPN
ejpam-5249	683	12	simulation	simulation	PROPN
ejpam-5249	683	13	results	result	VERB
ejpam-5249	683	14	.	.	PUNCT
ejpam-5249	684	1	the	the	DET
ejpam-5249	684	2	study	study	NOUN
ejpam-5249	684	3	cited	cite	VERB
ejpam-5249	684	4	above	above	ADP
ejpam-5249	684	5	offers	offer	VERB
ejpam-5249	684	6	convincing	convincing	ADJ
ejpam-5249	684	7	evidence	evidence	NOUN
ejpam-5249	684	8	that	that	SCONJ
ejpam-5249	684	9	one	one	NUM
ejpam-5249	684	10	important	important	ADJ
ejpam-5249	684	11	influencing	influence	VERB
ejpam-5249	684	12	element	element	NOUN
ejpam-5249	684	13	is	be	AUX
ejpam-5249	684	14	the	the	DET
ejpam-5249	684	15	time	time	NOUN
ejpam-5249	684	16	delay	delay	NOUN
ejpam-5249	684	17	τ	τ	PROPN
ejpam-5249	684	18	.	.	PUNCT
ejpam-5249	685	1	therefore	therefore	ADV
ejpam-5249	685	2	,	,	PUNCT
ejpam-5249	685	3	by	by	ADP
ejpam-5249	685	4	finding	find	VERB
ejpam-5249	685	5	the	the	DET
ejpam-5249	685	6	range	range	NOUN
ejpam-5249	685	7	of	of	ADP
ejpam-5249	685	8	days	day	NOUN
ejpam-5249	685	9	of	of	ADP
ejpam-5249	685	10	trees	tree	NOUN
ejpam-5249	685	11	getting	getting	AUX
ejpam-5249	685	12	infected	infect	VERB
ejpam-5249	685	13	with	with	ADP
ejpam-5249	685	14	the	the	DET
ejpam-5249	685	15	help	help	NOUN
ejpam-5249	685	16	of	of	ADP
ejpam-5249	685	17	time	time	NOUN
ejpam-5249	685	18	delay	delay	NOUN
ejpam-5249	685	19	,	,	PUNCT
ejpam-5249	685	20	we	we	PRON
ejpam-5249	685	21	can	can	AUX
ejpam-5249	685	22	introduce	introduce	VERB
ejpam-5249	685	23	control	control	NOUN
ejpam-5249	685	24	measures	measure	NOUN
ejpam-5249	685	25	like	like	ADP
ejpam-5249	685	26	pesticides	pesticide	NOUN
ejpam-5249	685	27	,	,	PUNCT
ejpam-5249	685	28	insecticides	insecticide	NOUN
ejpam-5249	685	29	and	and	CCONJ
ejpam-5249	685	30	by	by	ADP
ejpam-5249	685	31	introducing	introduce	VERB
ejpam-5249	685	32	a	a	DET
ejpam-5249	685	33	predator	predator	NOUN
ejpam-5249	685	34	in	in	ADP
ejpam-5249	685	35	the	the	DET
ejpam-5249	685	36	particular	particular	ADJ
ejpam-5249	685	37	range	range	NOUN
ejpam-5249	685	38	of	of	ADP
ejpam-5249	685	39	tree	tree	NOUN
ejpam-5249	685	40	becoming	becoming	AUX
ejpam-5249	685	41	infected	infect	VERB
ejpam-5249	685	42	so	so	SCONJ
ejpam-5249	685	43	that	that	SCONJ
ejpam-5249	685	44	we	we	PRON
ejpam-5249	685	45	can	can	AUX
ejpam-5249	685	46	enormously	enormously	ADV
ejpam-5249	685	47	assist	assist	VERB
ejpam-5249	685	48	farmers	farmer	NOUN
ejpam-5249	685	49	in	in	ADP
ejpam-5249	685	50	controlling	control	VERB
ejpam-5249	685	51	the	the	DET
ejpam-5249	685	52	disease	disease	NOUN
ejpam-5249	685	53	.	.	PUNCT
ejpam-5249	686	1	even	even	ADV
ejpam-5249	686	2	homotopy	homotopy	VERB
ejpam-5249	686	3	perturbation	perturbation	NOUN
ejpam-5249	686	4	method	method	NOUN
ejpam-5249	686	5	does	do	AUX
ejpam-5249	686	6	not	not	PART
ejpam-5249	686	7	has	have	VERB
ejpam-5249	686	8	a	a	DET
ejpam-5249	686	9	controlling	control	VERB
ejpam-5249	686	10	parameter	parameter	NOUN
ejpam-5249	686	11	h̃	h̃	PROPN
ejpam-5249	686	12	it	it	PRON
ejpam-5249	686	13	has	have	AUX
ejpam-5249	686	14	given	give	VERB
ejpam-5249	686	15	as	as	ADP
ejpam-5249	686	16	the	the	DET
ejpam-5249	686	17	convergent	convergent	NOUN
ejpam-5249	686	18	series	series	NOUN
ejpam-5249	686	19	solution	solution	NOUN
ejpam-5249	686	20	for	for	ADP
ejpam-5249	686	21	our	our	PRON
ejpam-5249	686	22	model	model	NOUN
ejpam-5249	686	23	since	since	SCONJ
ejpam-5249	686	24	it	it	PRON
ejpam-5249	686	25	has	have	VERB
ejpam-5249	686	26	less	less	ADJ
ejpam-5249	686	27	non	non	ADJ
ejpam-5249	686	28	-	-	ADJ
ejpam-5249	686	29	linearity	linearity	NOUN
ejpam-5249	686	30	.	.	PUNCT
ejpam-5249	687	1	acknowledgements	acknowledgement	NOUN
ejpam-5249	687	2	we	we	PRON
ejpam-5249	687	3	sincerely	sincerely	ADV
ejpam-5249	687	4	thank	thank	VERB
ejpam-5249	687	5	the	the	DET
ejpam-5249	687	6	reviewers	reviewer	NOUN
ejpam-5249	687	7	for	for	ADP
ejpam-5249	687	8	their	their	PRON
ejpam-5249	687	9	valuable	valuable	ADJ
ejpam-5249	687	10	comments	comment	NOUN
ejpam-5249	687	11	,	,	PUNCT
ejpam-5249	687	12	which	which	PRON
ejpam-5249	687	13	were	be	AUX
ejpam-5249	687	14	of	of	ADP
ejpam-5249	687	15	great	great	ADJ
ejpam-5249	687	16	help	help	NOUN
ejpam-5249	687	17	in	in	ADP
ejpam-5249	687	18	revising	revise	VERB
ejpam-5249	687	19	the	the	DET
ejpam-5249	687	20	manuscript	manuscript	NOUN
ejpam-5249	687	21	.	.	PUNCT
ejpam-5249	688	1	the	the	DET
ejpam-5249	688	2	authors	author	NOUN
ejpam-5249	688	3	are	be	AUX
ejpam-5249	688	4	pleased	pleased	ADJ
ejpam-5249	688	5	to	to	PART
ejpam-5249	688	6	acknowledge	acknowledge	VERB
ejpam-5249	688	7	the	the	DET
ejpam-5249	688	8	financial	financial	ADJ
ejpam-5249	688	9	support	support	NOUN
ejpam-5249	688	10	of	of	ADP
ejpam-5249	688	11	the	the	DET
ejpam-5249	688	12	selective	selective	ADJ
ejpam-5249	688	13	excellence	excellence	PROPN
ejpam-5249	688	14	research	research	NOUN
ejpam-5249	688	15	initiative	initiative	NOUN
ejpam-5249	688	16	(	(	PUNCT
ejpam-5249	688	17	srmist	srmist	NOUN
ejpam-5249	688	18	/	/	SYM
ejpam-5249	688	19	r	r	NOUN
ejpam-5249	688	20	/	/	SYM
ejpam-5249	688	21	ar(a)/seri2023/174/31	ar(a)/seri2023/174/31	PROPN
ejpam-5249	688	22	)	)	PUNCT
ejpam-5249	688	23	.	.	PUNCT
ejpam-5249	689	1	it	it	PRON
ejpam-5249	689	2	is	be	AUX
ejpam-5249	689	3	our	our	PRON
ejpam-5249	689	4	pleasure	pleasure	NOUN
ejpam-5249	689	5	to	to	PART
ejpam-5249	689	6	thank	thank	VERB
ejpam-5249	689	7	the	the	DET
ejpam-5249	689	8	college	college	NOUN
ejpam-5249	689	9	of	of	ADP
ejpam-5249	689	10	engineering	engineering	NOUN
ejpam-5249	689	11	and	and	CCONJ
ejpam-5249	689	12	technology	technology	NOUN
ejpam-5249	689	13	,	,	PUNCT
ejpam-5249	689	14	srm	srm	PROPN
ejpam-5249	689	15	ist	ist	VERB
ejpam-5249	689	16	for	for	ADP
ejpam-5249	689	17	its	its	PRON
ejpam-5249	689	18	valuable	valuable	ADJ
ejpam-5249	689	19	support	support	NOUN
ejpam-5249	689	20	and	and	CCONJ
ejpam-5249	689	21	constant	constant	ADJ
ejpam-5249	689	22	encouragement	encouragement	NOUN
ejpam-5249	689	23	.	.	PUNCT
ejpam-5249	690	1	references	reference	NOUN
ejpam-5249	690	2	[	[	X
ejpam-5249	690	3	1	1	NUM
ejpam-5249	690	4	]	]	PUNCT
ejpam-5249	690	5	m.	m.	NOUN
ejpam-5249	690	6	abolhasani	abolhasani	PROPN
ejpam-5249	690	7	,	,	PUNCT
ejpam-5249	690	8	h.	h.	PROPN
ejpam-5249	690	9	ghaneai	ghaneai	PROPN
ejpam-5249	690	10	,	,	PUNCT
ejpam-5249	690	11	and	and	CCONJ
ejpam-5249	690	12	m.	m.	NOUN
ejpam-5249	690	13	heydari	heydari	NOUN
ejpam-5249	690	14	.	.	PUNCT
ejpam-5249	691	1	modified	modify	VERB
ejpam-5249	691	2	homotopy	homotopy	NOUN
ejpam-5249	691	3	perturbation	perturbation	NOUN
ejpam-5249	691	4	method	method	NOUN
ejpam-5249	691	5	for	for	ADP
ejpam-5249	691	6	solving	solve	VERB
ejpam-5249	691	7	delay	delay	NOUN
ejpam-5249	691	8	differential	differential	ADJ
ejpam-5249	691	9	equations	equation	NOUN
ejpam-5249	691	10	.	.	PUNCT
ejpam-5249	692	1	appl	appl	PROPN
ejpam-5249	692	2	.	.	PUNCT
ejpam-5249	693	1	sci	sci	PROPN
ejpam-5249	693	2	.	.	PROPN
ejpam-5249	693	3	rep	rep	PROPN
ejpam-5249	693	4	.	.	PROPN
ejpam-5249	693	5	,	,	PUNCT
ejpam-5249	693	6	16(2):89–92	16(2):89–92	NUM
ejpam-5249	693	7	,	,	PUNCT
ejpam-5249	693	8	2016	2016	NUM
ejpam-5249	693	9	.	.	PUNCT
ejpam-5249	694	1	[	[	X
ejpam-5249	694	2	2	2	NUM
ejpam-5249	694	3	]	]	PUNCT
ejpam-5249	694	4	l.	l.	PROPN
ejpam-5249	694	5	j.	j.	PROPN
ejpam-5249	694	6	allen	allen	PROPN
ejpam-5249	694	7	,	,	PUNCT
ejpam-5249	694	8	f.	f.	PROPN
ejpam-5249	694	9	brauer	brauer	PROPN
ejpam-5249	694	10	,	,	PUNCT
ejpam-5249	694	11	p.	p.	PROPN
ejpam-5249	694	12	van	van	PROPN
ejpam-5249	694	13	den	den	PROPN
ejpam-5249	694	14	driessche	driessche	PROPN
ejpam-5249	694	15	,	,	PUNCT
ejpam-5249	694	16	and	and	CCONJ
ejpam-5249	694	17	j.	j.	PROPN
ejpam-5249	694	18	wu	wu	PROPN
ejpam-5249	694	19	.	.	PUNCT
ejpam-5249	695	1	mathematical	mathematical	ADJ
ejpam-5249	695	2	epidemiology	epidemiology	NOUN
ejpam-5249	695	3	.	.	PUNCT
ejpam-5249	696	1	springer	springer	NOUN
ejpam-5249	696	2	,	,	PUNCT
ejpam-5249	696	3	berlin	berlin	PROPN
ejpam-5249	696	4	,	,	PUNCT
ejpam-5249	696	5	2019	2019	NUM
ejpam-5249	696	6	.	.	PUNCT
ejpam-5249	697	1	[	[	X
ejpam-5249	697	2	3	3	X
ejpam-5249	697	3	]	]	X
ejpam-5249	697	4	naveed	naveed	PROPN
ejpam-5249	697	5	anjum	anjum	PROPN
ejpam-5249	697	6	and	and	CCONJ
ejpam-5249	697	7	ji	ji	PROPN
ejpam-5249	697	8	-	-	PROPN
ejpam-5249	697	9	huan	huan	PROPN
ejpam-5249	697	10	he	he	PROPN
ejpam-5249	697	11	.	.	PUNCT
ejpam-5249	698	1	homotopy	homotopy	VERB
ejpam-5249	698	2	perturbation	perturbation	NOUN
ejpam-5249	698	3	method	method	NOUN
ejpam-5249	698	4	for	for	ADP
ejpam-5249	698	5	n	n	CCONJ
ejpam-5249	698	6	/	/	SYM
ejpam-5249	698	7	mems	mem	NOUN
ejpam-5249	698	8	oscillators	oscillator	NOUN
ejpam-5249	698	9	.	.	PUNCT
ejpam-5249	699	1	mathematical	mathematical	ADJ
ejpam-5249	699	2	methods	method	NOUN
ejpam-5249	699	3	in	in	ADP
ejpam-5249	699	4	the	the	DET
ejpam-5249	699	5	applied	apply	VERB
ejpam-5249	699	6	sciences	science	NOUN
ejpam-5249	699	7	,	,	PUNCT
ejpam-5249	699	8	pages	page	NOUN
ejpam-5249	699	9	1–15	1–15	NUM
ejpam-5249	699	10	,	,	PUNCT
ejpam-5249	699	11	2020	2020	NUM
ejpam-5249	699	12	.	.	PUNCT
ejpam-5249	700	1	[	[	X
ejpam-5249	700	2	4	4	X
ejpam-5249	700	3	]	]	X
ejpam-5249	700	4	fahad	fahad	PROPN
ejpam-5249	700	5	al	al	PROPN
ejpam-5249	700	6	basir	basir	PROPN
ejpam-5249	700	7	,	,	PUNCT
ejpam-5249	700	8	ezio	ezio	PROPN
ejpam-5249	700	9	venturino	venturino	PROPN
ejpam-5249	700	10	,	,	PUNCT
ejpam-5249	700	11	santanu	santanu	PROPN
ejpam-5249	700	12	ray	ray	NOUN
ejpam-5249	700	13	,	,	PUNCT
ejpam-5249	700	14	and	and	CCONJ
ejpam-5249	700	15	priti	priti	PROPN
ejpam-5249	700	16	kumar	kumar	PROPN
ejpam-5249	700	17	roy	roy	PROPN
ejpam-5249	700	18	.	.	PROPN
ejpam-5249	700	19	impact	impact	NOUN
ejpam-5249	700	20	of	of	ADP
ejpam-5249	700	21	farming	farming	NOUN
ejpam-5249	700	22	awareness	awareness	NOUN
ejpam-5249	700	23	and	and	CCONJ
ejpam-5249	700	24	delay	delay	NOUN
ejpam-5249	700	25	on	on	ADP
ejpam-5249	700	26	the	the	DET
ejpam-5249	700	27	dynamics	dynamic	NOUN
ejpam-5249	700	28	of	of	ADP
ejpam-5249	700	29	mosaic	mosaic	ADJ
ejpam-5249	700	30	disease	disease	NOUN
ejpam-5249	700	31	in	in	ADP
ejpam-5249	700	32	jatropha	jatropha	PROPN
ejpam-5249	700	33	curcas	curca	NOUN
ejpam-5249	700	34	plantations	plantation	NOUN
ejpam-5249	700	35	.	.	PUNCT
ejpam-5249	701	1	computational	computational	ADJ
ejpam-5249	701	2	and	and	CCONJ
ejpam-5249	701	3	applied	applied	ADJ
ejpam-5249	701	4	mathematics	mathematic	NOUN
ejpam-5249	701	5	,	,	PUNCT
ejpam-5249	701	6	37:6108–6131	37:6108–6131	NUM
ejpam-5249	701	7	,	,	PUNCT
ejpam-5249	701	8	2018	2018	NUM
ejpam-5249	701	9	.	.	PUNCT
ejpam-5249	702	1	[	[	X
ejpam-5249	702	2	5	5	NUM
ejpam-5249	702	3	]	]	PUNCT
ejpam-5249	702	4	m.	m.	NOUN
ejpam-5249	702	5	bodnar	bodnar	NOUN
ejpam-5249	702	6	.	.	PUNCT
ejpam-5249	703	1	the	the	DET
ejpam-5249	703	2	nonnegativity	nonnegativity	NOUN
ejpam-5249	703	3	of	of	ADP
ejpam-5249	703	4	solutions	solution	NOUN
ejpam-5249	703	5	of	of	ADP
ejpam-5249	703	6	delay	delay	NOUN
ejpam-5249	703	7	differential	differential	ADJ
ejpam-5249	703	8	equations	equation	NOUN
ejpam-5249	703	9	.	.	PUNCT
ejpam-5249	704	1	appl	appl	PROPN
ejpam-5249	704	2	math	math	PROPN
ejpam-5249	704	3	lett	lett	PROPN
ejpam-5249	704	4	,	,	PUNCT
ejpam-5249	704	5	13(6):91–95	13(6):91–95	NUM
ejpam-5249	704	6	,	,	PUNCT
ejpam-5249	704	7	2000	2000	NUM
ejpam-5249	704	8	.	.	PUNCT
ejpam-5249	705	1	references	reference	NOUN
ejpam-5249	705	2	1935	1935	NUM
ejpam-5249	706	1	[	[	X
ejpam-5249	706	2	6	6	NUM
ejpam-5249	706	3	]	]	PUNCT
ejpam-5249	706	4	p.	p.	NOUN
ejpam-5249	706	5	chowdappa	chowdappa	PROPN
ejpam-5249	706	6	.	.	PUNCT
ejpam-5249	707	1	invasive	invasive	ADJ
ejpam-5249	707	2	rugose	rugose	NOUN
ejpam-5249	707	3	spiralling	spiral	VERB
ejpam-5249	707	4	whitefly	whitefly	NOUN
ejpam-5249	707	5	on	on	ADP
ejpam-5249	707	6	coconut	coconut	NOUN
ejpam-5249	707	7	.	.	PUNCT
ejpam-5249	708	1	icar	icar	ADJ
ejpam-5249	708	2	-	-	PUNCT
ejpam-5249	708	3	cpcri	cpcri	VERB
ejpam-5249	708	4	technical	technical	ADJ
ejpam-5249	708	5	bulletin	bulletin	NOUN
ejpam-5249	708	6	,	,	PUNCT
ejpam-5249	708	7	117	117	NUM
ejpam-5249	708	8	,	,	PUNCT
ejpam-5249	708	9	2017	2017	NUM
ejpam-5249	708	10	.	.	PUNCT
ejpam-5249	709	1	[	[	X
ejpam-5249	709	2	7	7	X
ejpam-5249	709	3	]	]	X
ejpam-5249	709	4	r.v	r.v	PROPN
ejpam-5249	709	5	.	.	PROPN
ejpam-5249	709	6	culshaw	culshaw	PROPN
ejpam-5249	709	7	and	and	CCONJ
ejpam-5249	709	8	s.	s.	PROPN
ejpam-5249	709	9	ruan	ruan	PROPN
ejpam-5249	709	10	.	.	PUNCT
ejpam-5249	710	1	a	a	DET
ejpam-5249	710	2	delay	delay	NOUN
ejpam-5249	710	3	-	-	PUNCT
ejpam-5249	710	4	differential	differential	NOUN
ejpam-5249	710	5	equation	equation	NOUN
ejpam-5249	710	6	model	model	NOUN
ejpam-5249	710	7	of	of	ADP
ejpam-5249	710	8	hiv	hiv	PROPN
ejpam-5249	710	9	infection	infection	NOUN
ejpam-5249	710	10	of	of	ADP
ejpam-5249	710	11	cd4	cd4	PROPN
ejpam-5249	710	12	+	+	PROPN
ejpam-5249	710	13	t	t	PROPN
ejpam-5249	710	14	-	-	PUNCT
ejpam-5249	710	15	cells	cell	NOUN
ejpam-5249	710	16	.	.	PUNCT
ejpam-5249	711	1	mathematical	mathematical	ADJ
ejpam-5249	711	2	biosciences	bioscience	NOUN
ejpam-5249	711	3	,	,	PUNCT
ejpam-5249	711	4	165:27–39	165:27–39	NUM
ejpam-5249	711	5	,	,	PUNCT
ejpam-5249	711	6	2000	2000	NUM
ejpam-5249	711	7	.	.	PUNCT
ejpam-5249	712	1	[	[	X
ejpam-5249	712	2	8	8	NUM
ejpam-5249	712	3	]	]	X
ejpam-5249	712	4	b.	b.	PROPN
ejpam-5249	712	5	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	712	6	and	and	CCONJ
ejpam-5249	712	7	r.	r.	PROPN
ejpam-5249	712	8	senthamarai	senthamarai	PROPN
ejpam-5249	712	9	.	.	PUNCT
ejpam-5249	713	1	mathematical	mathematical	ADJ
ejpam-5249	713	2	analysis	analysis	NOUN
ejpam-5249	713	3	of	of	ADP
ejpam-5249	713	4	a	a	DET
ejpam-5249	713	5	non	non	ADJ
ejpam-5249	713	6	linear	linear	PROPN
ejpam-5249	713	7	prey	prey	NOUN
ejpam-5249	713	8	predator	predator	NOUN
ejpam-5249	713	9	system	system	NOUN
ejpam-5249	713	10	:	:	PUNCT
ejpam-5249	713	11	analytical	analytical	ADJ
ejpam-5249	713	12	approach	approach	NOUN
ejpam-5249	713	13	by	by	ADP
ejpam-5249	713	14	hpm	hpm	PROPN
ejpam-5249	713	15	.	.	PUNCT
ejpam-5249	714	1	in	in	ADP
ejpam-5249	714	2	aip	aip	PROPN
ejpam-5249	714	3	conference	conference	NOUN
ejpam-5249	714	4	proceedings	proceeding	NOUN
ejpam-5249	714	5	,	,	PUNCT
ejpam-5249	714	6	volume	volume	NOUN
ejpam-5249	714	7	2516	2516	NUM
ejpam-5249	714	8	,	,	PUNCT
ejpam-5249	714	9	2022	2022	NUM
ejpam-5249	714	10	.	.	PUNCT
ejpam-5249	715	1	[	[	X
ejpam-5249	715	2	9	9	NUM
ejpam-5249	715	3	]	]	X
ejpam-5249	715	4	b.	b.	PROPN
ejpam-5249	715	5	dhivyadharshini	dhivyadharshini	PROPN
ejpam-5249	715	6	and	and	CCONJ
ejpam-5249	715	7	r.	r.	PROPN
ejpam-5249	715	8	senthamarai	senthamarai	PROPN
ejpam-5249	715	9	.	.	PUNCT
ejpam-5249	716	1	a	a	DET
ejpam-5249	716	2	non	non	ADJ
ejpam-5249	716	3	-	-	ADJ
ejpam-5249	716	4	linear	linear	ADJ
ejpam-5249	716	5	prey	prey	NOUN
ejpam-5249	716	6	-	-	PUNCT
ejpam-5249	716	7	predator	predator	NOUN
ejpam-5249	716	8	model	model	NOUN
ejpam-5249	716	9	:	:	PUNCT
ejpam-5249	716	10	detailed	detailed	ADJ
ejpam-5249	716	11	analysis	analysis	NOUN
ejpam-5249	716	12	by	by	ADP
ejpam-5249	716	13	hpm	hpm	NOUN
ejpam-5249	716	14	and	and	CCONJ
ejpam-5249	716	15	ham	ham	PROPN
ejpam-5249	716	16	.	.	PUNCT
ejpam-5249	717	1	research	research	NOUN
ejpam-5249	717	2	trends	trend	NOUN
ejpam-5249	717	3	in	in	ADP
ejpam-5249	717	4	mathematics	mathematic	NOUN
ejpam-5249	717	5	and	and	CCONJ
ejpam-5249	717	6	statistics	statistic	NOUN
ejpam-5249	717	7	,	,	PUNCT
ejpam-5249	717	8	25:31–57	25:31–57	NUM
ejpam-5249	717	9	,	,	PUNCT
ejpam-5249	717	10	2023	2023	NUM
ejpam-5249	717	11	.	.	PUNCT
ejpam-5249	718	1	[	[	X
ejpam-5249	718	2	10	10	NUM
ejpam-5249	718	3	]	]	X
ejpam-5249	718	4	o.	o.	NOUN
ejpam-5249	718	5	diekmann	diekmann	PROPN
ejpam-5249	718	6	,	,	PUNCT
ejpam-5249	718	7	heesterbeek	heesterbeek	VERB
ejpam-5249	718	8	jap	jap	PROPN
ejpam-5249	718	9	,	,	PUNCT
ejpam-5249	718	10	and	and	CCONJ
ejpam-5249	718	11	metz	metz	PROPN
ejpam-5249	718	12	jaj	jaj	PROPN
ejpam-5249	718	13	.	.	PUNCT
ejpam-5249	719	1	on	on	ADP
ejpam-5249	719	2	the	the	DET
ejpam-5249	719	3	definition	definition	NOUN
ejpam-5249	719	4	and	and	CCONJ
ejpam-5249	719	5	the	the	DET
ejpam-5249	719	6	computation	computation	NOUN
ejpam-5249	719	7	of	of	ADP
ejpam-5249	719	8	the	the	DET
ejpam-5249	719	9	basic	basic	ADJ
ejpam-5249	719	10	reproduction	reproduction	NOUN
ejpam-5249	719	11	ratio	ratio	NOUN
ejpam-5249	719	12	r0	r0	NOUN
ejpam-5249	719	13	in	in	ADP
ejpam-5249	719	14	models	model	NOUN
ejpam-5249	719	15	for	for	ADP
ejpam-5249	719	16	infectious	infectious	ADJ
ejpam-5249	719	17	diseases	disease	NOUN
ejpam-5249	719	18	in	in	ADP
ejpam-5249	719	19	heterogeneous	heterogeneous	ADJ
ejpam-5249	719	20	populations	population	NOUN
ejpam-5249	719	21	.	.	PUNCT
ejpam-5249	720	1	journal	journal	PROPN
ejpam-5249	720	2	of	of	ADP
ejpam-5249	720	3	mathematical	mathematical	ADJ
ejpam-5249	720	4	biology	biology	NOUN
ejpam-5249	720	5	,	,	PUNCT
ejpam-5249	720	6	28(4):365–382	28(4):365–382	PROPN
ejpam-5249	720	7	,	,	PUNCT
ejpam-5249	720	8	1990	1990	NUM
ejpam-5249	720	9	.	.	PUNCT
ejpam-5249	721	1	[	[	X
ejpam-5249	721	2	11	11	NUM
ejpam-5249	721	3	]	]	PUNCT
ejpam-5249	721	4	k.	k.	PROPN
ejpam-5249	721	5	elango	elango	PROPN
ejpam-5249	721	6	,	,	PUNCT
ejpam-5249	721	7	s.	s.	PROPN
ejpam-5249	721	8	j.	j.	PROPN
ejpam-5249	721	9	nelson	nelson	PROPN
ejpam-5249	721	10	,	,	PUNCT
ejpam-5249	721	11	and	and	CCONJ
ejpam-5249	721	12	a.	a.	PROPN
ejpam-5249	721	13	aravind	aravind	PROPN
ejpam-5249	721	14	.	.	PUNCT
ejpam-5249	722	1	rugose	rugose	NOUN
ejpam-5249	722	2	spiralling	spiral	VERB
ejpam-5249	722	3	whitefly	whitefly	NOUN
ejpam-5249	722	4	,	,	PUNCT
ejpam-5249	722	5	aleurodicus	aleurodicus	NOUN
ejpam-5249	722	6	rugioperculatus	rugioperculatus	PROPN
ejpam-5249	722	7	martin	martin	PROPN
ejpam-5249	722	8	(	(	PUNCT
ejpam-5249	722	9	hemiptera	hemiptera	PROPN
ejpam-5249	722	10	,	,	PUNCT
ejpam-5249	722	11	aleyrodidae	aleyrodidae	NOUN
ejpam-5249	722	12	):	):	PUNCT
ejpam-5249	722	13	an	an	DET
ejpam-5249	722	14	invasive	invasive	ADJ
ejpam-5249	722	15	foes	foe	NOUN
ejpam-5249	722	16	of	of	ADP
ejpam-5249	722	17	coconut	coconut	NOUN
ejpam-5249	722	18	.	.	PUNCT
ejpam-5249	723	1	j.	j.	PROPN
ejpam-5249	723	2	entomol	entomol	PROPN
ejpam-5249	723	3	.	.	PUNCT
ejpam-5249	724	1	res	re	NOUN
ejpam-5249	724	2	,	,	PUNCT
ejpam-5249	724	3	44:261–266	44:261–266	PROPN
ejpam-5249	724	4	,	,	PUNCT
ejpam-5249	724	5	2020	2020	NUM
ejpam-5249	724	6	.	.	PUNCT
ejpam-5249	725	1	[	[	X
ejpam-5249	725	2	12	12	NUM
ejpam-5249	725	3	]	]	PUNCT
ejpam-5249	725	4	k.	k.	PROPN
ejpam-5249	725	5	elango	elango	PROPN
ejpam-5249	725	6	,	,	PUNCT
ejpam-5249	725	7	s.	s.	PROPN
ejpam-5249	725	8	j.	j.	PROPN
ejpam-5249	725	9	nelson	nelson	PROPN
ejpam-5249	725	10	,	,	PUNCT
ejpam-5249	725	11	s.	s.	PROPN
ejpam-5249	725	12	sridharan	sridharan	PROPN
ejpam-5249	725	13	,	,	PUNCT
ejpam-5249	725	14	v.	v.	ADP
ejpam-5249	725	15	paranidharan	paranidharan	NOUN
ejpam-5249	725	16	,	,	PUNCT
ejpam-5249	725	17	and	and	CCONJ
ejpam-5249	725	18	s.	s.	PROPN
ejpam-5249	725	19	balakrishnan	balakrishnan	PROPN
ejpam-5249	725	20	.	.	PUNCT
ejpam-5249	726	1	biology	biology	NOUN
ejpam-5249	726	2	,	,	PUNCT
ejpam-5249	726	3	distribution	distribution	NOUN
ejpam-5249	726	4	and	and	CCONJ
ejpam-5249	726	5	host	host	NOUN
ejpam-5249	726	6	range	range	NOUN
ejpam-5249	726	7	of	of	ADP
ejpam-5249	726	8	new	new	ADJ
ejpam-5249	726	9	invasive	invasive	ADJ
ejpam-5249	726	10	pest	pest	NOUN
ejpam-5249	726	11	of	of	ADP
ejpam-5249	726	12	india	india	PROPN
ejpam-5249	726	13	coconut	coconut	PROPN
ejpam-5249	726	14	rugose	rugose	NOUN
ejpam-5249	726	15	spiralling	spiral	VERB
ejpam-5249	726	16	whitefly	whitefly	NOUN
ejpam-5249	726	17	aleurodicus	aleurodicus	PROPN
ejpam-5249	726	18	rugioperculatus	rugioperculatus	PROPN
ejpam-5249	726	19	martin	martin	PROPN
ejpam-5249	726	20	in	in	ADP
ejpam-5249	726	21	tamil	tamil	PROPN
ejpam-5249	726	22	nadu	nadu	PROPN
ejpam-5249	726	23	and	and	CCONJ
ejpam-5249	726	24	the	the	DET
ejpam-5249	726	25	status	status	NOUN
ejpam-5249	726	26	of	of	ADP
ejpam-5249	726	27	its	its	PRON
ejpam-5249	726	28	natural	natural	ADJ
ejpam-5249	726	29	enemies	enemy	NOUN
ejpam-5249	726	30	.	.	PUNCT
ejpam-5249	727	1	int	int	NOUN
ejpam-5249	727	2	.	.	PUNCT
ejpam-5249	728	1	j.	j.	PROPN
ejpam-5249	728	2	agricul	agricul	PROPN
ejpam-5249	728	3	.	.	PUNCT
ejpam-5249	729	1	sci	sci	PROPN
ejpam-5249	729	2	,	,	PUNCT
ejpam-5249	729	3	11:8423–8426	11:8423–8426	NUM
ejpam-5249	729	4	,	,	PUNCT
ejpam-5249	729	5	2019	2019	NUM
ejpam-5249	729	6	.	.	PUNCT
ejpam-5249	730	1	[	[	X
ejpam-5249	730	2	13	13	NUM
ejpam-5249	730	3	]	]	PUNCT
ejpam-5249	730	4	j.	j.	PROPN
ejpam-5249	730	5	hale	hale	PROPN
ejpam-5249	730	6	.	.	PUNCT
ejpam-5249	731	1	theory	theory	NOUN
ejpam-5249	731	2	of	of	ADP
ejpam-5249	731	3	functional	functional	ADJ
ejpam-5249	731	4	differential	differential	ADJ
ejpam-5249	731	5	equations	equation	NOUN
ejpam-5249	731	6	.	.	PUNCT
ejpam-5249	732	1	springer	springer	PROPN
ejpam-5249	732	2	,	,	PUNCT
ejpam-5249	732	3	heidelberg	heidelberg	PROPN
ejpam-5249	732	4	,	,	PUNCT
ejpam-5249	732	5	1977	1977	NUM
ejpam-5249	732	6	.	.	PUNCT
ejpam-5249	733	1	[	[	X
ejpam-5249	733	2	14	14	NUM
ejpam-5249	733	3	]	]	X
ejpam-5249	733	4	ji	ji	PROPN
ejpam-5249	733	5	-	-	PROPN
ejpam-5249	733	6	huan	huan	PROPN
ejpam-5249	733	7	he	he	PRON
ejpam-5249	733	8	.	.	PUNCT
ejpam-5249	734	1	on	on	ADP
ejpam-5249	734	2	the	the	DET
ejpam-5249	734	3	frequency	frequency	NOUN
ejpam-5249	734	4	-	-	PUNCT
ejpam-5249	734	5	amplitude	amplitude	NOUN
ejpam-5249	734	6	formulation	formulation	NOUN
ejpam-5249	734	7	for	for	ADP
ejpam-5249	734	8	nonlinear	nonlinear	ADJ
ejpam-5249	734	9	oscillators	oscillator	NOUN
ejpam-5249	734	10	with	with	ADP
ejpam-5249	734	11	general	general	ADJ
ejpam-5249	734	12	initial	initial	ADJ
ejpam-5249	734	13	conditions	condition	NOUN
ejpam-5249	734	14	.	.	PUNCT
ejpam-5249	735	1	int	int	NOUN
ejpam-5249	735	2	.	.	PUNCT
ejpam-5249	736	1	j.	j.	PROPN
ejpam-5249	736	2	appl	appl	PROPN
ejpam-5249	736	3	.	.	PUNCT
ejpam-5249	737	1	comput	comput	PROPN
ejpam-5249	737	2	.	.	PUNCT
ejpam-5249	738	1	math	math	NOUN
ejpam-5249	738	2	,	,	PUNCT
ejpam-5249	738	3	111(7	111(7	NUM
ejpam-5249	738	4	)	)	PUNCT
ejpam-5249	738	5	,	,	PUNCT
ejpam-5249	738	6	2021	2021	NUM
ejpam-5249	738	7	.	.	PUNCT
ejpam-5249	739	1	[	[	X
ejpam-5249	739	2	15	15	NUM
ejpam-5249	739	3	]	]	X
ejpam-5249	739	4	ji	ji	PROPN
ejpam-5249	739	5	-	-	PROPN
ejpam-5249	739	6	huan	huan	PROPN
ejpam-5249	739	7	he	he	PRON
ejpam-5249	739	8	,	,	PUNCT
ejpam-5249	739	9	g.	g.	PROPN
ejpam-5249	739	10	m.	m.	PROPN
ejpam-5249	739	11	moatimid	moatimid	PROPN
ejpam-5249	739	12	,	,	PUNCT
ejpam-5249	739	13	and	and	CCONJ
ejpam-5249	739	14	d.	d.	PROPN
ejpam-5249	739	15	r.	r.	PROPN
ejpam-5249	739	16	mostapha	mostapha	PROPN
ejpam-5249	739	17	.	.	PUNCT
ejpam-5249	740	1	nonlinear	nonlinear	ADJ
ejpam-5249	740	2	instability	instability	NOUN
ejpam-5249	740	3	of	of	ADP
ejpam-5249	740	4	two	two	NUM
ejpam-5249	740	5	streamingsuperposed	streamingsuperpose	VERB
ejpam-5249	740	6	magnetic	magnetic	ADJ
ejpam-5249	740	7	reiner	reiner	NOUN
ejpam-5249	740	8	-	-	PUNCT
ejpam-5249	740	9	rivlin	rivlin	NOUN
ejpam-5249	740	10	fluids	fluid	NOUN
ejpam-5249	740	11	by	by	ADP
ejpam-5249	740	12	he	he	PRON
ejpam-5249	740	13	-	-	PUNCT
ejpam-5249	740	14	laplace	laplace	NOUN
ejpam-5249	740	15	method	method	NOUN
ejpam-5249	740	16	.	.	PUNCT
ejpam-5249	741	1	journal	journal	NOUN
ejpam-5249	741	2	of	of	ADP
ejpam-5249	741	3	electroanalytical	electroanalytical	ADJ
ejpam-5249	741	4	chemistry	chemistry	NOUN
ejpam-5249	741	5	,	,	PUNCT
ejpam-5249	741	6	895	895	NUM
ejpam-5249	741	7	,	,	PUNCT
ejpam-5249	741	8	2021	2021	NUM
ejpam-5249	741	9	.	.	PUNCT
ejpam-5249	742	1	[	[	X
ejpam-5249	742	2	16	16	NUM
ejpam-5249	742	3	]	]	SYM
ejpam-5249	742	4	holt	holt	PROPN
ejpam-5249	742	5	,	,	PUNCT
ejpam-5249	742	6	m.	m.	PROPN
ejpam-5249	742	7	j.	j.	PROPN
ejpam-5249	742	8	jeger	jeger	PROPN
ejpam-5249	742	9	,	,	PUNCT
ejpam-5249	742	10	j.	j.	PROPN
ejpam-5249	742	11	m.	m.	PROPN
ejpam-5249	742	12	thresh	thresh	PROPN
ejpam-5249	742	13	,	,	PUNCT
ejpam-5249	742	14	and	and	CCONJ
ejpam-5249	742	15	g.	g.	PROPN
ejpam-5249	742	16	w.	w.	PROPN
ejpam-5249	742	17	otim	otim	PROPN
ejpam-5249	742	18	-	-	PUNCT
ejpam-5249	742	19	nape	nape	NOUN
ejpam-5249	742	20	.	.	PUNCT
ejpam-5249	743	1	an	an	DET
ejpam-5249	743	2	epidemiological	epidemiological	ADJ
ejpam-5249	743	3	model	model	NOUN
ejpam-5249	743	4	incorporating	incorporate	VERB
ejpam-5249	743	5	vector	vector	NOUN
ejpam-5249	743	6	population	population	NOUN
ejpam-5249	743	7	dynamics	dynamic	NOUN
ejpam-5249	743	8	applied	apply	VERB
ejpam-5249	743	9	to	to	ADP
ejpam-5249	743	10	african	african	ADJ
ejpam-5249	743	11	cassava	cassava	NOUN
ejpam-5249	743	12	mosaic	mosaic	PROPN
ejpam-5249	743	13	virus	virus	NOUN
ejpam-5249	743	14	disease	disease	NOUN
ejpam-5249	743	15	.	.	PUNCT
ejpam-5249	744	1	j.	j.	PROPN
ejpam-5249	744	2	appl	appl	PROPN
ejpam-5249	744	3	.	.	PUNCT
ejpam-5249	745	1	ecol	ecol	PROPN
ejpam-5249	745	2	,	,	PUNCT
ejpam-5249	745	3	34:793–806	34:793–806	PROPN
ejpam-5249	745	4	,	,	PUNCT
ejpam-5249	745	5	1997	1997	NUM
ejpam-5249	745	6	.	.	PUNCT
ejpam-5249	746	1	[	[	X
ejpam-5249	746	2	17	17	NUM
ejpam-5249	746	3	]	]	X
ejpam-5249	746	4	y.	y.	PROPN
ejpam-5249	746	5	kuang	kuang	PROPN
ejpam-5249	746	6	.	.	PUNCT
ejpam-5249	747	1	delay	delay	VERB
ejpam-5249	747	2	differential	differential	ADJ
ejpam-5249	747	3	equations	equation	NOUN
ejpam-5249	747	4	with	with	ADP
ejpam-5249	747	5	applications	application	NOUN
ejpam-5249	747	6	in	in	ADP
ejpam-5249	747	7	population	population	NOUN
ejpam-5249	747	8	dynamics	dynamic	NOUN
ejpam-5249	747	9	.	.	PUNCT
ejpam-5249	748	1	academic	academic	ADJ
ejpam-5249	748	2	press	press	PROPN
ejpam-5249	748	3	,	,	PUNCT
ejpam-5249	748	4	inc	inc	PROPN
ejpam-5249	748	5	.	.	PROPN
ejpam-5249	748	6	,	,	PUNCT
ejpam-5249	748	7	new	new	PROPN
ejpam-5249	748	8	york	york	PROPN
ejpam-5249	748	9	,	,	PUNCT
ejpam-5249	748	10	1993	1993	NUM
ejpam-5249	748	11	.	.	PUNCT
ejpam-5249	749	1	[	[	X
ejpam-5249	749	2	18	18	NUM
ejpam-5249	749	3	]	]	PUNCT
ejpam-5249	749	4	s.	s.	PROPN
ejpam-5249	749	5	pathak	pathak	PROPN
ejpam-5249	749	6	and	and	CCONJ
ejpam-5249	749	7	a.	a.	PROPN
ejpam-5249	749	8	maiti	maiti	PROPN
ejpam-5249	749	9	.	.	PUNCT
ejpam-5249	750	1	pest	pest	PROPN
ejpam-5249	750	2	control	control	NOUN
ejpam-5249	750	3	using	use	VERB
ejpam-5249	750	4	virus	virus	NOUN
ejpam-5249	750	5	as	as	ADP
ejpam-5249	750	6	control	control	NOUN
ejpam-5249	750	7	agent	agent	NOUN
ejpam-5249	750	8	:	:	PUNCT
ejpam-5249	750	9	a	a	DET
ejpam-5249	750	10	mathematical	mathematical	ADJ
ejpam-5249	750	11	model	model	NOUN
ejpam-5249	750	12	.	.	PUNCT
ejpam-5249	751	1	nonlinear	nonlinear	ADJ
ejpam-5249	751	2	analysis	analysis	NOUN
ejpam-5249	751	3	:	:	PUNCT
ejpam-5249	751	4	modelling	modelling	NOUN
ejpam-5249	751	5	and	and	CCONJ
ejpam-5249	751	6	control	control	NOUN
ejpam-5249	751	7	,	,	PUNCT
ejpam-5249	751	8	17:67–90	17:67–90	NUM
ejpam-5249	751	9	,	,	PUNCT
ejpam-5249	751	10	2012	2012	NUM
ejpam-5249	751	11	.	.	PUNCT
ejpam-5249	752	1	[	[	X
ejpam-5249	752	2	19	19	NUM
ejpam-5249	752	3	]	]	PUNCT
ejpam-5249	752	4	s.	s.	PROPN
ejpam-5249	752	5	ray	ray	PROPN
ejpam-5249	752	6	and	and	CCONJ
ejpam-5249	752	7	f.	f.	PROPN
ejpam-5249	752	8	a.	a.	PROPN
ejpam-5249	752	9	basir	basir	PROPN
ejpam-5249	752	10	.	.	PUNCT
ejpam-5249	753	1	impact	impact	NOUN
ejpam-5249	753	2	of	of	ADP
ejpam-5249	753	3	incubation	incubation	NOUN
ejpam-5249	753	4	delay	delay	NOUN
ejpam-5249	753	5	in	in	ADP
ejpam-5249	753	6	plant	plant	NOUN
ejpam-5249	753	7	-	-	PUNCT
ejpam-5249	753	8	vector	vector	NOUN
ejpam-5249	753	9	interaction	interaction	NOUN
ejpam-5249	753	10	.	.	PUNCT
ejpam-5249	754	1	math	math	NOUN
ejpam-5249	754	2	.	.	PUNCT
ejpam-5249	755	1	comput	comput	NOUN
ejpam-5249	755	2	.	.	PUNCT
ejpam-5249	756	1	simul	simul	PROPN
ejpam-5249	756	2	,	,	PUNCT
ejpam-5249	756	3	170:16–31	170:16–31	NUM
ejpam-5249	756	4	,	,	PUNCT
ejpam-5249	756	5	2020	2020	NUM
ejpam-5249	756	6	.	.	PUNCT
ejpam-5249	757	1	references	reference	NOUN
ejpam-5249	757	2	1936	1936	NUM
ejpam-5249	757	3	[	[	X
ejpam-5249	757	4	20	20	NUM
ejpam-5249	757	5	]	]	PUNCT
ejpam-5249	757	6	f.	f.	PROPN
ejpam-5249	757	7	a.	a.	PROPN
ejpam-5249	757	8	rihan	rihan	PROPN
ejpam-5249	757	9	,	,	PUNCT
ejpam-5249	757	10	d.	d.	PROPN
ejpam-5249	757	11	h.	h.	PROPN
ejpam-5249	757	12	abdel	abdel	PROPN
ejpam-5249	757	13	rahman	rahman	PROPN
ejpam-5249	757	14	,	,	PUNCT
ejpam-5249	757	15	s.	s.	PROPN
ejpam-5249	757	16	lakshmanan	lakshmanan	PROPN
ejpam-5249	757	17	,	,	PUNCT
ejpam-5249	757	18	and	and	CCONJ
ejpam-5249	757	19	a.	a.	PROPN
ejpam-5249	757	20	s.	s.	PROPN
ejpam-5249	757	21	alkhajeh	alkhajeh	PROPN
ejpam-5249	757	22	.	.	PUNCT
ejpam-5249	758	1	a	a	DET
ejpam-5249	758	2	time	time	NOUN
ejpam-5249	758	3	delay	delay	NOUN
ejpam-5249	758	4	model	model	NOUN
ejpam-5249	758	5	of	of	ADP
ejpam-5249	758	6	tumor	tumor	NOUN
ejpam-5249	758	7	-	-	PUNCT
ejpam-5249	758	8	immune	immune	ADJ
ejpam-5249	758	9	system	system	NOUN
ejpam-5249	758	10	interactions	interaction	NOUN
ejpam-5249	758	11	:	:	PUNCT
ejpam-5249	758	12	global	global	ADJ
ejpam-5249	758	13	dynamics	dynamic	NOUN
ejpam-5249	758	14	,	,	PUNCT
ejpam-5249	758	15	parameter	parameter	NOUN
ejpam-5249	758	16	estimation	estimation	NOUN
ejpam-5249	758	17	,	,	PUNCT
ejpam-5249	758	18	sensitivity	sensitivity	NOUN
ejpam-5249	758	19	analysis	analysis	NOUN
ejpam-5249	758	20	.	.	PUNCT
ejpam-5249	759	1	applied	apply	VERB
ejpam-5249	759	2	mathematics	mathematic	NOUN
ejpam-5249	759	3	and	and	CCONJ
ejpam-5249	759	4	computation	computation	NOUN
ejpam-5249	759	5	,	,	PUNCT
ejpam-5249	759	6	232:606–623	232:606–623	NUM
ejpam-5249	759	7	,	,	PUNCT
ejpam-5249	759	8	2014	2014	NUM
ejpam-5249	759	9	.	.	PUNCT
ejpam-5249	760	1	[	[	X
ejpam-5249	760	2	21	21	NUM
ejpam-5249	760	3	]	]	X
ejpam-5249	760	4	f.	f.	PROPN
ejpam-5249	760	5	a.	a.	PROPN
ejpam-5249	760	6	rihan	rihan	PROPN
ejpam-5249	760	7	,	,	PUNCT
ejpam-5249	760	8	c.	c.	PROPN
ejpam-5249	760	9	tunc	tunc	PROPN
ejpam-5249	760	10	,	,	PUNCT
ejpam-5249	760	11	s.h	s.h	PROPN
ejpam-5249	760	12	.	.	PROPN
ejpam-5249	760	13	saker	saker	PROPN
ejpam-5249	760	14	,	,	PUNCT
ejpam-5249	760	15	s.	s.	PROPN
ejpam-5249	760	16	lakshmanan	lakshmanan	PROPN
ejpam-5249	760	17	,	,	PUNCT
ejpam-5249	760	18	and	and	CCONJ
ejpam-5249	760	19	r.	r.	PROPN
ejpam-5249	760	20	rakkiyappan	rakkiyappan	PROPN
ejpam-5249	760	21	.	.	PUNCT
ejpam-5249	761	1	application	application	NOUN
ejpam-5249	761	2	of	of	ADP
ejpam-5249	761	3	delay	delay	NOUN
ejpam-5249	761	4	differential	differential	ADJ
ejpam-5249	761	5	equations	equation	NOUN
ejpam-5249	761	6	in	in	ADP
ejpam-5249	761	7	biological	biological	ADJ
ejpam-5249	761	8	systems	system	NOUN
ejpam-5249	761	9	.	.	PUNCT
ejpam-5249	762	1	complexity	complexity	NOUN
ejpam-5249	762	2	,	,	PUNCT
ejpam-5249	762	3	2018	2018	NUM
ejpam-5249	762	4	.	.	PUNCT
ejpam-5249	763	1	[	[	X
ejpam-5249	763	2	22	22	NUM
ejpam-5249	763	3	]	]	X
ejpam-5249	763	4	s.	s.	PROPN
ejpam-5249	763	5	shanas	shanas	PROPN
ejpam-5249	763	6	,	,	PUNCT
ejpam-5249	763	7	j.	j.	PROPN
ejpam-5249	763	8	job	job	PROPN
ejpam-5249	763	9	,	,	PUNCT
ejpam-5249	763	10	t.	t.	PROPN
ejpam-5249	763	11	joseph	joseph	PROPN
ejpam-5249	763	12	,	,	PUNCT
ejpam-5249	763	13	and	and	CCONJ
ejpam-5249	763	14	g.	g.	PROPN
ejpam-5249	763	15	anju	anju	PROPN
ejpam-5249	763	16	krishnan	krishnan	PROPN
ejpam-5249	763	17	.	.	PUNCT
ejpam-5249	764	1	first	first	ADJ
ejpam-5249	764	2	report	report	NOUN
ejpam-5249	764	3	of	of	ADP
ejpam-5249	764	4	the	the	DET
ejpam-5249	764	5	invasive	invasive	ADJ
ejpam-5249	764	6	rugose	rugose	NOUN
ejpam-5249	764	7	spiraling	spiral	VERB
ejpam-5249	764	8	whitefly	whitefly	NOUN
ejpam-5249	764	9	,	,	PUNCT
ejpam-5249	764	10	aleurodicus	aleurodicus	NOUN
ejpam-5249	764	11	rugioperculatus	rugioperculatus	PROPN
ejpam-5249	764	12	martin	martin	PROPN
ejpam-5249	764	13	(	(	PUNCT
ejpam-5249	764	14	hemiptera	hemiptera	NOUN
ejpam-5249	764	15	:	:	PUNCT
ejpam-5249	764	16	aleyrodidae	aleyrodidae	NOUN
ejpam-5249	764	17	)	)	PUNCT
ejpam-5249	764	18	from	from	ADP
ejpam-5249	764	19	the	the	DET
ejpam-5249	764	20	old	old	ADJ
ejpam-5249	764	21	world	world	NOUN
ejpam-5249	764	22	.	.	PUNCT
ejpam-5249	765	1	entomon	entomon	NOUN
ejpam-5249	765	2	,	,	PUNCT
ejpam-5249	765	3	41:365–368	41:365–368	PROPN
ejpam-5249	765	4	,	,	PUNCT
ejpam-5249	765	5	2016	2016	NUM
ejpam-5249	765	6	.	.	PUNCT
ejpam-5249	766	1	[	[	X
ejpam-5249	766	2	23	23	NUM
ejpam-5249	766	3	]	]	PUNCT
ejpam-5249	766	4	m.	m.	NOUN
ejpam-5249	766	5	sivakumar	sivakumar	PROPN
ejpam-5249	766	6	,	,	PUNCT
ejpam-5249	766	7	m.	m.	NOUN
ejpam-5249	766	8	mallikarjuna	mallikarjuna	PROPN
ejpam-5249	766	9	,	,	PUNCT
ejpam-5249	766	10	and	and	CCONJ
ejpam-5249	766	11	r.	r.	PROPN
ejpam-5249	766	12	senthamarai	senthamarai	PROPN
ejpam-5249	766	13	.	.	PUNCT
ejpam-5249	767	1	a	a	DET
ejpam-5249	767	2	kinetic	kinetic	ADJ
ejpam-5249	767	3	non	non	ADJ
ejpam-5249	767	4	-	-	ADJ
ejpam-5249	767	5	steady	steady	ADJ
ejpam-5249	767	6	state	state	NOUN
ejpam-5249	767	7	analysis	analysis	NOUN
ejpam-5249	767	8	of	of	ADP
ejpam-5249	767	9	immobilized	immobilized	ADJ
ejpam-5249	767	10	enzyme	enzyme	NOUN
ejpam-5249	767	11	systems	system	NOUN
ejpam-5249	767	12	with	with	ADP
ejpam-5249	767	13	external	external	ADJ
ejpam-5249	767	14	mass	mass	NOUN
ejpam-5249	767	15	transfer	transfer	NOUN
ejpam-5249	767	16	resistance	resistance	NOUN
ejpam-5249	767	17	.	.	PUNCT
ejpam-5249	768	1	aims	aim	VERB
ejpam-5249	768	2	mathematics	mathematic	NOUN
ejpam-5249	768	3	,	,	PUNCT
ejpam-5249	768	4	9(7):18083–18102	9(7):18083–18102	NUM
ejpam-5249	768	5	,	,	PUNCT
ejpam-5249	768	6	2024	2024	NUM
ejpam-5249	768	7	.	.	PUNCT
ejpam-5249	769	1	[	[	X
ejpam-5249	769	2	24	24	NUM
ejpam-5249	769	3	]	]	PUNCT
ejpam-5249	769	4	m.	m.	NOUN
ejpam-5249	769	5	sivakumar	sivakumar	PROPN
ejpam-5249	769	6	and	and	CCONJ
ejpam-5249	769	7	r.	r.	PROPN
ejpam-5249	769	8	senthamarai	senthamarai	PROPN
ejpam-5249	769	9	.	.	PUNCT
ejpam-5249	770	1	mathematical	mathematical	ADJ
ejpam-5249	770	2	model	model	NOUN
ejpam-5249	770	3	of	of	ADP
ejpam-5249	770	4	epidemics	epidemic	NOUN
ejpam-5249	770	5	:	:	PUNCT
ejpam-5249	770	6	analytical	analytical	ADJ
ejpam-5249	770	7	approach	approach	NOUN
ejpam-5249	770	8	to	to	ADP
ejpam-5249	770	9	sirw	sirw	PROPN
ejpam-5249	770	10	model	model	PROPN
ejpam-5249	770	11	using	use	VERB
ejpam-5249	770	12	homotopy	homotopy	NOUN
ejpam-5249	770	13	perturbation	perturbation	NOUN
ejpam-5249	770	14	method	method	NOUN
ejpam-5249	770	15	.	.	PUNCT
ejpam-5249	771	1	in	in	ADP
ejpam-5249	771	2	aip	aip	PROPN
ejpam-5249	771	3	conference	conference	NOUN
ejpam-5249	771	4	proceedings	proceeding	NOUN
ejpam-5249	771	5	,	,	PUNCT
ejpam-5249	771	6	volume	volume	NOUN
ejpam-5249	771	7	2277	2277	NUM
ejpam-5249	771	8	,	,	PUNCT
ejpam-5249	771	9	2020	2020	NUM
ejpam-5249	771	10	.	.	PUNCT
ejpam-5249	772	1	[	[	X
ejpam-5249	772	2	25	25	NUM
ejpam-5249	772	3	]	]	X
ejpam-5249	772	4	g.	g.	PROPN
ejpam-5249	772	5	suganya	suganya	PROPN
ejpam-5249	772	6	and	and	CCONJ
ejpam-5249	772	7	r.	r.	PROPN
ejpam-5249	772	8	senthamarai	senthamarai	PROPN
ejpam-5249	772	9	.	.	PUNCT
ejpam-5249	773	1	mathematical	mathematical	ADJ
ejpam-5249	773	2	modeling	modeling	NOUN
ejpam-5249	773	3	and	and	CCONJ
ejpam-5249	773	4	analysis	analysis	NOUN
ejpam-5249	773	5	of	of	ADP
ejpam-5249	773	6	the	the	DET
ejpam-5249	773	7	effect	effect	NOUN
ejpam-5249	773	8	of	of	ADP
ejpam-5249	773	9	the	the	DET
ejpam-5249	773	10	rugose	rugose	NOUN
ejpam-5249	773	11	spiraling	spiral	VERB
ejpam-5249	773	12	whitefly	whitefly	NOUN
ejpam-5249	773	13	on	on	ADP
ejpam-5249	773	14	coconut	coconut	NOUN
ejpam-5249	773	15	trees	tree	NOUN
ejpam-5249	773	16	.	.	PUNCT
ejpam-5249	774	1	aims	aim	VERB
ejpam-5249	774	2	mathematics	mathematic	NOUN
ejpam-5249	774	3	,	,	PUNCT
ejpam-5249	774	4	7:13053–13073	7:13053–13073	PROPN
ejpam-5249	774	5	,	,	PUNCT
ejpam-5249	774	6	2022	2022	NUM
ejpam-5249	774	7	.	.	PUNCT
ejpam-5249	775	1	[	[	X
ejpam-5249	775	2	26	26	NUM
ejpam-5249	775	3	]	]	X
ejpam-5249	775	4	r.	r.	PROPN
ejpam-5249	775	5	sundararaj	sundararaj	PROPN
ejpam-5249	775	6	and	and	CCONJ
ejpam-5249	775	7	k.	k.	PROPN
ejpam-5249	775	8	selvaraj	selvaraj	PROPN
ejpam-5249	775	9	.	.	PUNCT
ejpam-5249	776	1	invasion	invasion	NOUN
ejpam-5249	776	2	of	of	ADP
ejpam-5249	776	3	rugose	rugose	NOUN
ejpam-5249	776	4	spiraling	spiral	VERB
ejpam-5249	776	5	whitefly	whitefly	NOUN
ejpam-5249	776	6	,	,	PUNCT
ejpam-5249	776	7	aleurodicus	aleurodicus	NOUN
ejpam-5249	776	8	rugioperculatus	rugioperculatus	PROPN
ejpam-5249	776	9	martin	martin	PROPN
ejpam-5249	776	10	(	(	PUNCT
ejpam-5249	776	11	hemiptera	hemiptera	NOUN
ejpam-5249	776	12	:	:	PUNCT
ejpam-5249	776	13	aleyrodidae	aleyrodidae	VERB
ejpam-5249	776	14	):	):	PUNCT
ejpam-5249	776	15	a	a	DET
ejpam-5249	776	16	potential	potential	ADJ
ejpam-5249	776	17	threat	threat	NOUN
ejpam-5249	776	18	to	to	PART
ejpam-5249	776	19	coconut	coconut	VERB
ejpam-5249	776	20	in	in	ADP
ejpam-5249	776	21	india	india	PROPN
ejpam-5249	776	22	.	.	PUNCT
ejpam-5249	777	1	phytoparasitica	phytoparasitica	PROPN
ejpam-5249	777	2	,	,	PUNCT
ejpam-5249	777	3	45:71–74	45:71–74	PROPN
ejpam-5249	777	4	,	,	PUNCT
ejpam-5249	777	5	2017	2017	NUM
ejpam-5249	777	6	.	.	PUNCT
ejpam-5249	778	1	[	[	X
ejpam-5249	778	2	27	27	NUM
ejpam-5249	778	3	]	]	X
ejpam-5249	778	4	nural	nural	ADJ
ejpam-5249	778	5	atiqah	atiqah	PROPN
ejpam-5249	778	6	talib	talib	PROPN
ejpam-5249	778	7	,	,	PUNCT
ejpam-5249	778	8	normah	normah	PROPN
ejpam-5249	778	9	maan	maan	PROPN
ejpam-5249	778	10	,	,	PUNCT
ejpam-5249	778	11	and	and	CCONJ
ejpam-5249	778	12	aminu	aminu	PROPN
ejpam-5249	778	13	barde	barde	PROPN
ejpam-5249	778	14	.	.	PUNCT
ejpam-5249	779	1	analytical	analytical	ADJ
ejpam-5249	779	2	approximation	approximation	NOUN
ejpam-5249	779	3	solution	solution	NOUN
ejpam-5249	779	4	for	for	ADP
ejpam-5249	779	5	logistic	logistic	ADJ
ejpam-5249	779	6	delay	delay	NOUN
ejpam-5249	779	7	differential	differential	NOUN
ejpam-5249	779	8	.	.	PUNCT
ejpam-5249	780	1	malaysian	malaysian	ADJ
ejpam-5249	780	2	journal	journal	PROPN
ejpam-5249	780	3	of	of	ADP
ejpam-5249	780	4	fundamental	fundamental	ADJ
ejpam-5249	780	5	and	and	CCONJ
ejpam-5249	780	6	applied	applied	ADJ
ejpam-5249	780	7	sciences	science	NOUN
ejpam-5249	780	8	,	,	PUNCT
ejpam-5249	780	9	16(3):368–373	16(3):368–373	PROPN
ejpam-5249	780	10	,	,	PUNCT
ejpam-5249	780	11	2020	2020	NUM
ejpam-5249	780	12	.	.	PUNCT
ejpam-5249	781	1	[	[	X
ejpam-5249	781	2	28	28	NUM
ejpam-5249	781	3	]	]	X
ejpam-5249	781	4	t.	t.	NOUN
ejpam-5249	781	5	vijayalakshmi	vijayalakshmi	NOUN
ejpam-5249	781	6	and	and	CCONJ
ejpam-5249	781	7	r.	r.	NOUN
ejpam-5249	781	8	senthamarai	senthamarai	PROPN
ejpam-5249	781	9	.	.	PUNCT
ejpam-5249	782	1	an	an	DET
ejpam-5249	782	2	analytical	analytical	ADJ
ejpam-5249	782	3	approach	approach	NOUN
ejpam-5249	782	4	to	to	ADP
ejpam-5249	782	5	the	the	DET
ejpam-5249	782	6	density	density	NOUN
ejpam-5249	782	7	dependent	dependent	ADJ
ejpam-5249	782	8	preypredator	preypredator	NOUN
ejpam-5249	782	9	system	system	NOUN
ejpam-5249	782	10	with	with	ADP
ejpam-5249	782	11	reddington	reddington	NOUN
ejpam-5249	782	12	-	-	PUNCT
ejpam-5249	782	13	deangelies	deangelie	NOUN
ejpam-5249	782	14	functional	functional	ADJ
ejpam-5249	782	15	response	response	NOUN
ejpam-5249	782	16	.	.	PUNCT
ejpam-5249	783	1	in	in	ADP
ejpam-5249	783	2	aip	aip	PROPN
ejpam-5249	783	3	conference	conference	NOUN
ejpam-5249	783	4	proceedings	proceeding	NOUN
ejpam-5249	783	5	,	,	PUNCT
ejpam-5249	783	6	volume	volume	NOUN
ejpam-5249	783	7	2112	2112	NUM
ejpam-5249	783	8	,	,	PUNCT
ejpam-5249	783	9	2019	2019	NUM
ejpam-5249	783	10	.	.	PUNCT
ejpam-5249	784	1	[	[	X
ejpam-5249	784	2	29	29	NUM
ejpam-5249	784	3	]	]	PUNCT
ejpam-5249	784	4	s.	s.	PROPN
ejpam-5249	784	5	wang	wang	PROPN
ejpam-5249	784	6	,	,	PUNCT
ejpam-5249	784	7	z.	z.	PROPN
ejpam-5249	784	8	ma	ma	PROPN
ejpam-5249	784	9	,	,	PUNCT
ejpam-5249	784	10	x.	x.	PROPN
ejpam-5249	784	11	li	li	PROPN
ejpam-5249	784	12	,	,	PUNCT
ejpam-5249	784	13	and	and	CCONJ
ejpam-5249	784	14	t.	t.	PROPN
ejpam-5249	784	15	qi	qi	PROPN
ejpam-5249	784	16	.	.	PUNCT
ejpam-5249	785	1	a	a	DET
ejpam-5249	785	2	generalized	generalized	ADJ
ejpam-5249	785	3	delay	delay	NOUN
ejpam-5249	785	4	-	-	PUNCT
ejpam-5249	785	5	induced	induce	VERB
ejpam-5249	785	6	sirs	sir	NOUN
ejpam-5249	785	7	epidemic	epidemic	NOUN
ejpam-5249	785	8	model	model	NOUN
ejpam-5249	785	9	with	with	ADP
ejpam-5249	785	10	relapse	relapse	NOUN
ejpam-5249	785	11	.	.	PUNCT
ejpam-5249	786	1	aims	aim	VERB
ejpam-5249	786	2	math	math	NOUN
ejpam-5249	786	3	,	,	PUNCT
ejpam-5249	786	4	7:6600–6618	7:6600–6618	NUM
ejpam-5249	786	5	,	,	PUNCT
ejpam-5249	786	6	2022	2022	NUM
ejpam-5249	786	7	.	.	PUNCT
ejpam-5249	787	1	[	[	X
ejpam-5249	787	2	30	30	NUM
ejpam-5249	787	3	]	]	PUNCT
ejpam-5249	787	4	x.	x.	PROPN
ejpam-5249	787	5	yang	yang	PROPN
ejpam-5249	787	6	,	,	PUNCT
ejpam-5249	787	7	l.	l.	PROPN
ejpam-5249	787	8	chen	chen	PROPN
ejpam-5249	787	9	,	,	PUNCT
ejpam-5249	787	10	and	and	CCONJ
ejpam-5249	787	11	j.	j.	PROPN
ejpam-5249	787	12	chen	chen	PROPN
ejpam-5249	787	13	.	.	PUNCT
ejpam-5249	788	1	permanence	permanence	NOUN
ejpam-5249	788	2	and	and	CCONJ
ejpam-5249	788	3	positive	positive	ADJ
ejpam-5249	788	4	periodic	periodic	ADJ
ejpam-5249	788	5	solution	solution	NOUN
ejpam-5249	788	6	for	for	ADP
ejpam-5249	788	7	the	the	DET
ejpam-5249	788	8	single	single	ADJ
ejpam-5249	788	9	species	specie	NOUN
ejpam-5249	788	10	nonautonomus	nonautonomus	PROPN
ejpam-5249	788	11	delay	delay	VERB
ejpam-5249	788	12	diffusive	diffusive	ADJ
ejpam-5249	788	13	model	model	NOUN
ejpam-5249	788	14	.	.	PUNCT
ejpam-5249	789	1	comput	comput	PROPN
ejpam-5249	789	2	math	math	PROPN
ejpam-5249	789	3	appl	appl	PROPN
ejpam-5249	789	4	,	,	PUNCT
ejpam-5249	789	5	32:109–116	32:109–116	PROPN
ejpam-5249	789	6	,	,	PUNCT
ejpam-5249	789	7	1996	1996	NUM
ejpam-5249	789	8	.	.	PUNCT